Subgroups — #72311514

Order 2048.

At least 19985 conjugacy classes of subgroups; only the 4046 normal subgroups are shown.

The subgroup lattice has 1880 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72311493	C₂	1	1	yes	maximal, characteristic, complemented
2	#72311487	C₂	1	2	yes	maximal, complemented
3	#72311479	C₂	1	1	yes	maximal, characteristic, complemented
4	D₄×#2197	C₂	1	2	yes	maximal, complemented
5	#72311468	C₂	1	1	yes	maximal, characteristic, complemented
6	#72311460	C₂	1	1	yes	maximal, characteristic, complemented
7	#72311454	C₂	1	1	yes	maximal, characteristic, complemented
8	#72311444	C₂	1	4	yes	maximal, complemented
9	#72311441	C₂	1	2	yes	maximal, complemented
10	#72311438	C₂	1	1	yes	maximal, characteristic, complemented
11	#72311431	C₂	1	1	yes	maximal, characteristic, complemented
12	#72311426	C₂	1	2	yes	maximal, complemented
13	#72311419	C₂	1	2	yes	maximal, complemented
14	#72311373	C₂	1	2	yes	maximal, complemented
15	#72311356	C₂	1	2	yes	maximal, complemented
16	#72311346	C₂	1	2	yes	maximal, complemented
17	#72311265	C₂	1	4	yes	maximal, complemented
18	#72311241	C₂	1	4	yes	maximal, complemented
19	#72311234	C₂	1	1	yes	maximal, characteristic, complemented
20	#72311202	C₂	1	1	yes	maximal, characteristic, complemented
21	#72311186	C₂	1	1	yes	maximal, characteristic, complemented
22	#72311183	C₂	1	2	yes	maximal, complemented
23	#72311181	C₂	1	2	yes	maximal, complemented
24	#72311177	C₂	1	1	yes	maximal, characteristic, complemented
25	#72311161	C₂	1	2	yes	maximal, complemented
26	#72311148	C₂	1	1	yes	maximal, characteristic, complemented
27	#72311129	C₂	1	1	yes	maximal, characteristic, complemented
28	#72306415	C₂	1	2	yes	maximal, complemented
29	#72306393	C₂	1	2	yes	maximal, complemented
30	#72303091	C₂	1	2	yes	maximal, complemented
31	#72285798	C₂	1	4	yes	maximal, complemented
32	#72255678	C₂	1	2	yes	maximal, complemented
33	#72236711	C₂	1	1	yes	maximal, characteristic, complemented
34	#72236702	C₂	1	1	yes	maximal, characteristic, complemented
35	#72236574	C₂	1	2	yes	maximal, complemented
36	#10586097	C₂²	1	1	yes	characteristic, complemented
37	C₂×#60389	C₂²	1	2	yes	complemented
38	#9716344	C₂²	1	2	yes	complemented
39	#8932923	C₂²	1	2	yes	complemented
40	#8904628	C₂²	1	2	yes	complemented
41	#8699281	C₂²	1	1	yes	characteristic, complemented
42	#8698894	C₂²	1	1	yes	characteristic, complemented
43	#8688878	C₂²	1	2	yes	complemented
44	#8505955	C₂²	1	1	yes	characteristic, complemented
45	#8195661	C₂²	1	1	yes	characteristic, complemented
46	#8075300	C₂²	1	2	yes	complemented
47	#8069243	C₂²	1	1	yes	characteristic, complemented
48	#8062881	C₂²	1	1	yes	characteristic, complemented
49	#7983575	C₂²	1	1	yes	characteristic, complemented
50	#7978991	C₂²	1	2	yes	complemented
51	#7826509	C₂²	1	2	yes	complemented
52	#7782150	C₂²	1	1	yes	characteristic, complemented
53	#7737411	C₂²	1	1	yes	characteristic
54	#7737041	C₂²	1	2	yes	complemented
55	#7726606	C₂²	1	1	yes	characteristic
56	#7707863	C₂²	1	1	yes	characteristic, complemented
57	D₄×#551	C₂²	1	1	yes	characteristic, complemented
58	#7696675	C₂²	1	1	yes	characteristic, complemented
59	#7683204	C₂²	1	1	yes	characteristic, complemented
60	#7680261	C₂²	1	1	yes	characteristic
61	C₂×#33551	C₂²	1	4	yes	complemented
62	C₂²×#2197	C₂²	1	4	yes	complemented
63	#6629394	C₂²	1	1	yes	characteristic, complemented
64	#6629390	C₂²	1	1	yes	characteristic
65	#6629390	C₂²	1	1	yes	characteristic, complemented
66	#6629388	C₂²	1	1	yes	characteristic, complemented
67	#6628967	C₂²	1	1	yes	characteristic, complemented
68	#6628900	C₂²	1	2	yes	complemented
69	#6628897	C₂²	1	2	yes	complemented
70	#6628896	C₂²	1	2	yes	complemented
71	#6628896	C₂²	1	2	yes	complemented
72	#6628876	C₂²	1	2	yes	complemented
73	#6591514	C₂²	1	2	yes	complemented
74	#6591514	C₂²	1	2	yes	complemented
75	#6591514	C₂²	1	2	yes	complemented
76	#6591514	C₂²	1	4	yes	complemented
77	#6591506	C₂²	1	4	yes	complemented
78	#6591503	C₂²	1	2	yes	complemented
79	#6573723	C₂²	1	2	yes	complemented
80	#6573719	C₂²	1	4	yes	complemented
81	D₄×#458	C₂²	1	2	yes	complemented
82	D₄×B(4,𝔽₂)	C₂²	1	2	yes	—
83	D₄×B(4,𝔽₂)	C₂²	1	2	yes	—
84	D₄×B(4,𝔽₂)	C₂²	1	4	yes	complemented
85	#6573693	C₂²	1	2	yes	complemented
86	#6573693	C₂²	1	2	yes	complemented
87	#6573679	C₂²	1	4	yes	complemented
88	#6573679	C₂²	1	4	yes	complemented
89	D₄×#455	C₂²	1	2	yes	complemented
90	D₄×#455	C₂²	1	2	yes	complemented
91	#6487654	C₂²	1	1	yes	characteristic, complemented
92	#6487648	C₂²	1	1	yes	characteristic
93	#6487648	C₂²	1	1	yes	characteristic, complemented
94	#6487647	C₂²	1	1	yes	characteristic, complemented
95	#6470246	C₂²	1	2	yes	complemented
96	#6470235	C₂²	1	2	yes	complemented
97	#6470234	C₂²	1	2	yes	complemented
98	#6470234	C₂²	1	2	yes	complemented
99	#6443327	C₂²	1	1	yes	characteristic, complemented
100	#6442564	C₂²	1	1	yes	characteristic, complemented
101	#6437975	C₂²	1	2	yes	complemented
102	#6437453	C₂²	1	2	yes	complemented
103	#6385980	C₂²	1	1	yes	characteristic, complemented
104	#6385980	C₂²	1	1	yes	characteristic, complemented
105	#6379033	C₂²	1	1	yes	characteristic, complemented
106	C₄×#3022	C₂²	1	1	yes	characteristic, complemented
107	#512136	C₂²	1	4	yes	complemented
108	#512123	C₂²	1	4	yes	complemented
109	#511940	C₂²	1	4	yes	complemented
110	#511911	C₂²	1	2	yes	complemented
111	#511909	C₂²	1	2	yes	complemented
112	#511779	C₂²	1	4	yes	complemented
113	#511772	C₂²	1	4	yes	complemented
114	#508209	C₂²	1	4	yes	complemented
115	#508194	C₂²	1	2	yes	complemented
116	#508193	C₂²	1	2	yes	complemented
117	#508096	C₂²	1	4	yes	complemented
118	#508095	C₂²	1	4	yes	complemented
119	#508092	C₂²	1	4	yes	complemented
120	#508087	C₂²	1	4	yes	complemented
121	#503589	C₂²	1	2	yes	complemented
122	#503585	C₂²	1	2	yes	complemented
123	#503236	C₂²	1	4	yes	complemented
124	#503204	C₂²	1	2	yes	complemented
125	#503196	C₂²	1	2	yes	complemented
126	#503193	C₂²	1	2	yes	complemented
127	#503187	C₂²	1	4	yes	complemented
128	#503184	C₂²	1	2	yes	complemented
129	#503183	C₂²	1	2	yes	complemented
130	#503182	C₂²	1	2	yes	complemented
131	#502837	C₂²	1	4	yes	complemented
132	#502829	C₂²	1	2	yes	complemented
133	#502824	C₂²	1	2	yes	complemented
134	#502798	C₂²	1	2	yes	complemented
135	#502794	C₂²	1	4	yes	complemented
136	#502792	C₂²	1	2	yes	complemented
137	#502791	C₂²	1	2	yes	complemented
138	#502791	C₂²	1	2	yes	complemented
139	#502789	C₂²	1	2	yes	complemented
140	#502780	C₂²	1	2	yes	complemented
141	#502731	C₂²	1	4	yes	complemented
142	#502729	C₂²	1	4	yes	complemented
143	#502727	C₂²	1	4	yes	complemented
144	#502727	C₂²	1	4	yes	complemented
145	#502715	C₂²	1	4	yes	complemented
146	#502709	C₂²	1	4	yes	complemented
147	#502703	C₂²	1	4	yes	complemented
148	#502701	C₂²	1	4	yes	complemented
149	#501176	C₂²	1	4	yes	complemented
150	#501173	C₂²	1	4	yes	complemented
151	#501169	C₂²	1	4	yes	complemented
152	#501166	C₂²	1	4	yes	complemented
153	#501161	C₂²	1	4	yes	complemented
154	#501158	C₂²	1	4	yes	complemented
155	#501158	C₂²	1	4	yes	complemented
156	#501156	C₂²	1	4	yes	complemented
157	#501103	C₂²	1	4	yes	complemented
158	#501100	C₂²	1	4	yes	complemented
159	#501100	C₂²	1	4	yes	complemented
160	#501097	C₂²	1	4	yes	complemented
161	#501093	C₂²	1	4	yes	complemented
162	#501089	C₂²	1	4	yes	complemented
163	#501089	C₂²	1	4	yes	complemented
164	#501089	C₂²	1	4	yes	complemented
165	#500965	C₂²	1	2	yes	complemented
166	#500961	C₂²	1	2	yes	complemented
167	#500821	C₂²	1	4	yes	complemented
168	#500779	C₂²	1	2	yes	complemented
169	#500771	C₂²	1	2	yes	complemented
170	#500768	C₂²	1	2	yes	complemented
171	#500762	C₂²	1	4	yes	complemented
172	#500759	C₂²	1	2	yes	complemented
173	#500758	C₂²	1	2	yes	complemented
174	#500757	C₂²	1	2	yes	complemented
175	#500546	C₂²	1	4	yes	complemented
176	#500538	C₂²	1	2	yes	complemented
177	#500533	C₂²	1	2	yes	complemented
178	#500507	C₂²	1	2	yes	complemented
179	#500503	C₂²	1	4	yes	complemented
180	#500501	C₂²	1	2	yes	complemented
181	#500500	C₂²	1	2	yes	complemented
182	#500500	C₂²	1	2	yes	complemented
183	#500498	C₂²	1	2	yes	complemented
184	#500489	C₂²	1	2	yes	complemented
185	#500388	C₂²	1	1	yes	characteristic, complemented
186	#500384	C₂²	1	2	yes	complemented
187	#500382	C₂²	1	1	yes	characteristic, complemented
188	#500192	C₂²	1	1	yes	characteristic, complemented
189	#500187	C₂²	1	2	yes	complemented
190	#500181	C₂²	1	2	yes	complemented
191	#500181	C₂²	1	1	yes	characteristic, complemented
192	#500174	C₂²	1	2	yes	complemented
193	#500173	C₂²	1	2	yes	complemented
194	#500173	C₂²	1	2	yes	complemented
195	#500079	C₂²	1	4	yes	complemented
196	#500077	C₂²	1	4	yes	complemented
197	#500075	C₂²	1	4	yes	complemented
198	#500075	C₂²	1	4	yes	complemented
199	#500063	C₂²	1	4	yes	complemented
200	#500057	C₂²	1	4	yes	complemented
201	#500051	C₂²	1	4	yes	complemented
202	#500049	C₂²	1	4	yes	complemented
203	#500040	C₂²	1	1	yes	characteristic, complemented
204	#500040	C₂²	1	2	yes	complemented
205	#500036	C₂²	1	2	yes	complemented
206	#500036	C₂²	1	2	yes	complemented
207	#500036	C₂²	1	2	yes	complemented
208	#500034	C₂²	1	1	yes	characteristic, complemented
209	#500034	C₂²	1	2	yes	complemented
210	#499852	C₂²	1	4	yes	complemented
211	#499850	C₂²	1	2	yes	complemented
212	#499850	C₂²	1	2	yes	complemented
213	#499850	C₂²	1	2	yes	complemented
214	#499848	C₂²	1	4	yes	complemented
215	#499848	C₂²	1	4	yes	complemented
216	#499848	C₂²	1	4	yes	complemented
217	#499847	C₂²	1	2	yes	complemented
218	#499847	C₂²	1	2	yes	complemented
219	#499847	C₂²	1	2	yes	complemented
220	#499847	C₂²	1	2	yes	complemented
221	#499847	C₂²	1	2	yes	complemented
222	#499847	C₂²	1	2	yes	complemented
223	#499844	C₂²	1	2	yes	complemented
224	#499844	C₂²	1	2	yes	complemented
225	#499844	C₂²	1	2	yes	complemented
226	#499840	C₂²	1	1	yes	characteristic, complemented
227	#499840	C₂²	1	2	yes	complemented
228	#499838	C₂²	1	4	yes	complemented
229	#499836	C₂²	1	1	yes	characteristic, complemented
230	#499836	C₂²	1	2	yes	complemented
231	#499836	C₂²	1	2	yes	complemented
232	#499836	C₂²	1	2	yes	complemented
233	#499836	C₂²	1	2	yes	complemented
234	#499835	C₂²	1	4	yes	complemented
235	#499835	C₂²	1	4	yes	complemented
236	#499832	C₂²	1	4	yes	complemented
237	#499807	C₂²	1	4	yes	complemented
238	#499804	C₂²	1	4	yes	complemented
239	#499800	C₂²	1	4	yes	complemented
240	#499797	C₂²	1	4	yes	complemented
241	#499792	C₂²	1	4	yes	complemented
242	#499789	C₂²	1	4	yes	complemented
243	#499789	C₂²	1	4	yes	complemented
244	#499787	C₂²	1	4	yes	complemented
245	#499298	C₂²	1	4	yes	complemented
246	#499283	C₂²	1	2	yes	complemented
247	#499282	C₂²	1	2	yes	complemented
248	#498928	C₂²	1	4	yes	complemented
249	#498927	C₂²	1	4	yes	complemented
250	#498924	C₂²	1	4	yes	complemented
251	C₂×#13348	C₂²	1	4	yes	complemented
252	#497514	C₂²	1	4	yes	complemented
253	#497484	C₂²	1	2	yes	complemented
254	#497484	C₂²	1	2	yes	complemented
255	#497484	C₂²	1	2	yes	complemented
256	#497484	C₂²	1	4	yes	complemented
257	#497480	C₂²	1	2	yes	complemented
258	#497363	C₂²	1	4	yes	complemented
259	#497363	C₂²	1	4	yes	complemented
260	#497355	C₂²	1	4	yes	complemented
261	#497307	C₂²	1	2	yes	complemented
262	#497307	C₂²	1	2	yes	complemented
263	D₄×#354	C₂²	1	2	yes	complemented
264	D₄×#354	C₂²	1	2	yes	complemented
265	#497293	C₂²	1	2	yes	complemented
266	D₄×#352	C₂²	1	2	yes	complemented
267	D₄×AΣL(1,𝔽₁₆)	C₂²	1	2	yes	complemented
268	D₄×AΣL(1,𝔽₁₆)	C₂²	1	2	yes	complemented
269	D₄×AΣL(1,𝔽₁₆)	C₂²	1	4	yes	complemented
270	#496514	C₂²	1	1	yes	characteristic, complemented
271	#496508	C₂²	1	1	yes	characteristic, complemented
272	#496508	C₂²	1	1	yes	characteristic, complemented
273	#496507	C₂²	1	1	yes	characteristic, complemented
274	#496309	C₂²	1	1	yes	characteristic, complemented
275	#496309	C₂²	1	1	yes	characteristic, complemented
276	#496246	C₂²	1	2	yes	complemented
277	#496241	C₂²	1	2	yes	complemented
278	#496240	C₂²	1	2	yes	complemented
279	#496240	C₂²	1	2	yes	complemented
280	#496200	C₂²	1	2	yes	complemented
281	#496200	C₂²	1	2	yes	complemented
282	#495773	C₂²	1	4	yes	complemented
283	C₄×#2199	C₂²	1	2	yes	complemented
284	C₄×#2197	C₂²	1	2	yes	complemented
285	#495582	C₂²	1	1	yes	characteristic, complemented
286	#495580	C₂²	1	1	yes	characteristic, complemented
287	#495580	C₂²	1	1	yes	characteristic, complemented
288	#495577	C₂²	1	1	yes	characteristic, complemented
289	#494685	C₂²	1	2	yes	complemented
290	#494682	C₂²	1	2	yes	complemented
291	#494682	C₂²	1	2	yes	complemented
292	#494681	C₂²	1	2	yes	complemented
293	#494600	C₂²	1	4	yes	complemented
294	#494597	C₂²	1	4	yes	complemented
295	#493974	C₂²	1	1	yes	characteristic, complemented
296	#493967	C₂²	1	1	yes	characteristic, complemented
297	#493433	C₂²	1	2	yes	complemented
298	#493433	C₂²	1	2	yes	complemented
299	C₂×H(7,𝔽₂)	C₂³	1	2	yes	—
300	D₄×H(5,𝔽₂)	C₂³	1	2	yes	—
301	D₄×H(5,𝔽₂)	C₂³	1	4	yes	—
302	D₄×H(5,𝔽₂)	C₂³	1	2	yes	—
303	#62852	C₂³	1	2	yes	—
304	#62812	C₂³	1	1	yes	characteristic
305	C₂×#3500	C₂³	1	2	yes	—
306	C₂×#3498	C₂³	1	1	yes	characteristic
307	C₂×#3497	D₄	1	1	yes	characteristic, complemented
308	C₂×#3532	C₂³	1	2	yes	complemented
309	C₂²×#551	C₂³	1	2	yes	complemented
310	C₂²×D₄²	D₄	1	1	yes	characteristic, complemented
311	C₂²×#540	D₄	1	1	yes	characteristic, complemented
312	C₄×#585	C₂³	1	1	yes	characteristic
313	C₂×#3026	C₂³	1	4	yes	—
314	C₂²×#458	C₂³	1	4	yes	—
315	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
316	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
317	C₂×#3022	C₂³	1	1	yes	characteristic
318	C₂×#3022	C₂³	1	2	yes	—
319	C₂×#3019	C₂³	1	4	yes	—
320	C₂×#3019	C₂³	1	4	yes	—
321	C₂×#3018	C₂³	1	2	yes	—
322	C₂×#3018	C₂³	1	2	yes	—
323	C₂×#3018	C₂³	1	2	yes	—
324	C₂²×#455	C₂³	1	4	yes	—
325	C₂²×#455	C₂³	1	4	yes	—
326	C₂×#2888	C₂³	1	2	yes	—
327	#60031	C₂³	1	2	yes	complemented
328	#59945	C₂³	1	1	yes	characteristic, complemented
329	#59843	C₂³	1	1	yes	characteristic, complemented
330	#59802	C₂³	1	2	yes	complemented
331	#59632	C₂³	1	1	yes	characteristic, complemented
332	#59375	C₂³	1	1	yes	characteristic, complemented
333	#59370	C₂³	1	2	yes	complemented
334	#59202	C₂³	1	1	yes	characteristic, complemented
335	#59202	C₂³	1	1	yes	characteristic, complemented
336	#59198	C₂³	1	1	yes	characteristic, complemented
337	#59191	C₂³	1	2	yes	complemented
338	#59184	C₂³	1	2	yes	—
339	#59184	C₂³	1	2	yes	—
340	#59162	C₂³	1	2	yes	complemented
341	#59162	C₂³	1	2	yes	complemented
342	#59162	C₂³	1	2	yes	complemented
343	#59041	C₂³	1	2	yes	—
344	#59006	C₂³	1	2	yes	complemented
345	#59006	C₂³	1	2	yes	complemented
346	#58997	C₂³	1	1	yes	characteristic, complemented
347	#58992	C₂³	1	2	yes	complemented
348	#58990	C₂³	1	2	yes	complemented
349	#52301	C₂³	1	1	yes	characteristic, complemented
350	#52185	C₂³	1	1	yes	characteristic, complemented
351	C₂×#2684	C₂³	1	2	yes	complemented
352	#52012	C₂³	1	2	yes	complemented
353	#52004	C₂³	1	2	yes	complemented
354	#51895	C₂³	1	2	yes	complemented
355	#51895	C₂³	1	2	yes	complemented
356	#51860	C₂³	1	1	yes	characteristic, complemented
357	#51848	C₂³	1	1	yes	characteristic, complemented
358	#51815	C₂³	1	1	yes	characteristic
359	#51803	C₂³	1	1	yes	characteristic
360	#51796	C₂³	1	1	yes	characteristic, complemented
361	#51785	C₂³	1	1	yes	characteristic, complemented
362	#51749	C₂³	1	1	yes	characteristic
363	#51629	C₂³	1	2	yes	—
364	#51530	C₂³	1	2	yes	—
365	#51530	C₂³	1	1	yes	characteristic
366	#51060	C₂³	1	2	yes	complemented
367	#50856	C₂³	1	2	yes	complemented
368	#49103	C₂³	1	2	yes	complemented
369	#48997	C₂³	1	2	yes	complemented
370	#48971	C₂³	1	2	yes	complemented
371	#48922	C₂³	1	2	yes	complemented
372	#48922	C₂³	1	2	yes	complemented
373	#48088	C₂³	1	2	yes	complemented
374	#48058	C₂³	1	2	yes	complemented
375	#47827	C₂³	1	2	yes	complemented
376	#46276	C₂³	1	2	yes	—
377	#46190	C₂³	1	1	yes	characteristic, complemented
378	#46152	C₂³	1	1	yes	characteristic, complemented
379	#45977	C₂³	1	2	yes	complemented
380	#45599	C₂³	1	1	yes	characteristic, complemented
381	#45478	C₂³	1	1	yes	characteristic, complemented
382	#45455	C₂³	1	2	yes	complemented
383	#45438	C₂³	1	2	yes	complemented
384	#39363	D₄	1	1	yes	characteristic, complemented
385	#39363	D₄	1	1	yes	characteristic, complemented
386	#39361	C₂³	1	1	yes	characteristic
387	#39361	C₂³	1	1	yes	characteristic
388	#39338	D₄	1	1	yes	characteristic, complemented
389	#39338	C₂³	1	1	yes	characteristic
390	#38904	D₄	1	1	yes	characteristic, complemented
391	#38904	D₄	1	1	yes	characteristic, complemented
392	#38904	D₄	1	2	yes	complemented
393	#38904	D₄	1	1	yes	characteristic, complemented
394	#38904	C₂³	1	2	yes	—
395	#38904	C₂³	1	1	yes	characteristic
396	#38904	C₂³	1	1	yes	characteristic
397	#38904	C₂³	1	1	yes	characteristic
398	#38022	D₄	1	2	yes	complemented
399	#38022	C₂³	1	2	yes	—
400	#37683	D₄	1	2	yes	complemented
401	#37683	D₄	1	2	yes	complemented
402	#37677	C₂³	1	2	yes	—
403	#37677	C₂³	1	2	yes	—
404	#37646	D₄	1	2	yes	complemented
405	#37646	C₂³	1	2	yes	—
406	#37539	D₄	1	1	yes	characteristic, complemented
407	#37119	C₂³	1	2	yes	complemented
408	#36955	D₄	1	2	yes	complemented
409	#36955	C₂³	1	2	yes	complemented
410	#36929	C₂³	1	2	yes	complemented
411	#36704	D₄	1	2	yes	complemented
412	#36702	D₄	1	2	yes	complemented
413	#36702	D₄	1	2	yes	complemented
414	#36702	C₂³	1	2	yes	complemented
415	#36236	D₄	1	1	yes	characteristic, complemented
416	#36236	C₂³	1	1	yes	characteristic
417	#36128	D₄	1	1	yes	characteristic, complemented
418	#36128	D₄	1	1	yes	characteristic, complemented
419	D₄×#124	C₂³	1	1	yes	characteristic
420	D₄×#124	C₂³	1	1	yes	characteristic
421	D₄×#123	D₄	1	1	yes	characteristic, complemented
422	D₄×#123	C₂³	1	1	yes	characteristic
423	D₄×#120	D₄	1	1	yes	characteristic, complemented
424	D₄×#120	D₄	1	1	yes	characteristic, complemented
425	D₄×#120	D₄	1	2	yes	complemented
426	D₄×#120	C₂³	1	1	yes	characteristic
427	D₄×#120	C₂³	1	1	yes	characteristic
428	D₄×#120	C₂³	1	2	yes	—
429	#35676	D₄	1	2	yes	complemented
430	#35513	C₂³	1	2	yes	—
431	#35446	C₂³	1	2	yes	—
432	#35347	C₂³	1	2	yes	—
433	#35346	C₂³	1	2	yes	—
434	#35346	C₂³	1	2	yes	—
435	#35301	D₄	1	1	yes	characteristic, complemented
436	#35274	D₄	1	1	yes	characteristic, complemented
437	#35256	D₄	1	2	yes	complemented
438	#35237	D₄	1	1	yes	characteristic, complemented
439	#35237	D₄	1	1	yes	characteristic, complemented
440	#35138	C₂³	1	1	yes	characteristic
441	#34963	C₂³	1	1	yes	characteristic
442	#34963	C₂³	1	1	yes	characteristic
443	#34937	C₂³	1	1	yes	characteristic
444	C₂×#2548	D₄	1	1	yes	characteristic, complemented
445	#34875	C₂³	1	1	yes	characteristic
446	#34457	C₂³	1	2	yes	complemented
447	#34406	C₂³	1	2	yes	complemented
448	#34366	C₂³	1	2	yes	complemented
449	#34364	D₄	1	1	yes	characteristic, complemented
450	#34364	D₄	1	1	yes	characteristic, complemented
451	C₄×H(3,𝔽₄)	C₂³	1	1	yes	characteristic, complemented
452	C₄×#551	C₂³	1	1	yes	characteristic, complemented
453	#34141	D₄	1	1	yes	characteristic, complemented
454	C₄×#536	C₂³	1	1	yes	characteristic
455	C₂×#2200	C₂³	1	4	yes	—
456	C₂×#2200	C₂³	1	4	yes	complemented
457	C₂×#2200	C₂³	1	4	yes	complemented
458	C₂×#2199	C₂³	1	2	yes	—
459	C₂×#2199	C₂³	1	4	yes	complemented
460	C₂×#2197	C₂³	1	4	yes	—
461	C₂×#2197	C₂³	1	2	yes	—
462	C₂×#2197	C₂³	1	4	yes	—
463	C₂×#2197	C₂³	1	4	yes	—
464	C₂×#2197	C₂³	1	4	yes	complemented
465	C₂×#2197	C₂³	1	4	yes	complemented
466	C₂×#2197	C₂³	1	4	yes	complemented
467	C₂×#2197	C₂³	1	4	yes	complemented
468	C₂×#2197	C₂³	1	4	yes	complemented
469	C₂×#2197	C₂³	1	4	yes	complemented
470	C₂×#2197	C₂³	1	4	yes	complemented
471	C₂×#2196	C₂³	1	4	yes	—
472	C₂×#2196	C₂³	1	4	yes	complemented
473	C₂×#2196	C₂³	1	4	yes	complemented
474	C₂×#2127	C₂³	1	4	yes	complemented
475	C₂×#2127	C₂³	1	4	yes	complemented
476	C₂²×#354	C₂³	1	4	yes	complemented
477	C₂²×#354	C₂³	1	4	yes	complemented
478	C₂×#2121	C₂³	1	4	yes	complemented
479	C₂²×#352	C₂³	1	4	yes	complemented
480	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	complemented
481	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	complemented
482	#33023	C₂³	1	1	yes	characteristic
483	#33023	C₂³	1	2	yes	—
484	#33021	C₂³	1	1	yes	characteristic
485	#33021	C₂³	1	2	yes	—
486	#33021	C₂³	1	1	yes	characteristic
487	#33021	C₂³	1	1	yes	characteristic
488	#32977	C₂³	1	2	yes	—
489	#32976	C₂³	1	2	yes	—
490	#32976	C₂³	1	2	yes	—
491	#32976	C₂³	1	2	yes	—
492	#32928	C₂³	1	2	yes	—
493	#32927	C₂³	1	2	yes	—
494	#32926	C₂³	1	2	yes	—
495	#32926	C₂³	1	2	yes	—
496	#32924	C₂³	1	4	yes	—
497	#32922	C₂³	1	2	yes	—
498	#32920	C₂³	1	2	yes	—
499	#32901	C₂³	1	1	yes	characteristic
500	#32901	C₂³	1	2	yes	—
501	#32901	C₂³	1	2	yes	—
502	#32901	C₂³	1	2	yes	—
503	#32901	C₂³	1	2	yes	—
504	#32900	C₂³	1	4	yes	—
505	#32900	C₂³	1	4	yes	—
506	#32900	C₂³	1	4	yes	—
507	#32899	C₂³	1	1	yes	characteristic
508	#32899	C₂³	1	2	yes	—
509	#32899	C₂³	1	1	yes	characteristic
510	#32899	C₂³	1	1	yes	characteristic
511	#32899	C₂³	1	2	yes	—
512	#32899	C₂³	1	2	yes	—
513	#32899	C₂³	1	2	yes	—
514	#32899	C₂³	1	2	yes	—
515	#32899	C₂³	1	2	yes	—
516	#32898	C₂³	1	4	yes	—
517	#32898	C₂³	1	4	yes	—
518	#32898	C₂³	1	4	yes	—
519	#32898	C₂³	1	4	yes	—
520	#32898	C₂³	1	4	yes	—
521	#32891	C₂³	1	4	yes	—
522	#32891	C₂³	1	4	yes	—
523	#32888	C₂³	1	4	yes	—
524	#32888	C₂³	1	4	yes	—
525	#25901	C₂³	1	2	yes	—
526	#25900	C₂³	1	2	yes	—
527	#25900	C₂³	1	2	yes	—
528	#25900	C₂³	1	2	yes	—
529	#25773	C₂³	1	2	yes	—
530	#25772	C₂³	1	2	yes	—
531	#25771	C₂³	1	2	yes	—
532	#25771	C₂³	1	2	yes	—
533	#25743	C₂³	1	4	yes	—
534	#25739	C₂³	1	2	yes	—
535	#25738	C₂³	1	2	yes	—
536	#24413	C₂³	1	4	yes	—
537	#24413	C₂³	1	4	yes	—
538	#24412	C₂³	1	4	yes	—
539	#24412	C₂³	1	4	yes	—
540	#24405	C₂³	1	4	yes	—
541	#24405	C₂³	1	4	yes	—
542	#24405	C₂³	1	4	yes	—
543	#24404	C₂³	1	4	yes	—
544	#24404	C₂³	1	4	yes	—
545	#24404	C₂³	1	4	yes	—
546	#24404	C₂³	1	4	yes	—
547	#24404	C₂³	1	4	yes	—
548	#24263	C₂³	1	4	yes	—
549	#24261	C₂³	1	2	yes	—
550	#24260	C₂³	1	2	yes	—
551	#24260	C₂³	1	2	yes	—
552	#24260	C₂³	1	4	yes	—
553	#24260	C₂³	1	2	yes	—
554	#24228	C₂³	1	2	yes	—
555	#24228	C₂³	1	2	yes	—
556	#24224	C₂³	1	2	yes	—
557	#24224	C₂³	1	2	yes	—
558	#24058	C₂³	1	4	yes	—
559	#24058	C₂³	1	4	yes	—
560	#24058	C₂³	1	4	yes	—
561	#24056	C₂³	1	4	yes	—
562	#23912	C₂³	1	4	yes	—
563	#23912	C₂³	1	4	yes	—
564	#23907	C₂³	1	4	yes	—
565	#23907	C₂³	1	4	yes	—
566	#23903	C₂³	1	4	yes	—
567	#23901	C₂³	1	4	yes	—
568	#23900	C₂³	1	4	yes	—
569	#23900	C₂³	1	4	yes	—
570	D₄×#100	C₂³	1	2	yes	—
571	D₄×#100	C₂³	1	2	yes	—
572	D₄×#100	C₂³	1	4	yes	—
573	D₄×#99	C₂³	1	2	yes	—
574	D₄×#99	C₂³	1	4	yes	—
575	D₄×#99	C₂³	1	2	yes	—
576	D₄×#99	C₂³	1	2	yes	—
577	D₄×#99	C₂³	1	2	yes	—
578	D₄×#99	C₂³	1	4	yes	—
579	#21481	C₂³	1	4	yes	—
580	C₄×#458	C₂³	1	2	yes	—
581	C₄×B(4,𝔽₂)	C₂³	1	2	yes	—
582	C₄×B(4,𝔽₂)	C₂³	1	4	yes	—
583	C₄×B(4,𝔽₂)	C₂³	1	2	yes	—
584	C₄×B(4,𝔽₂)	C₂³	1	2	yes	—
585	#21474	C₂³	1	2	yes	—
586	#21474	C₂³	1	2	yes	—
587	C₄×#455	C₂³	1	2	yes	—
588	C₄×#455	C₂³	1	2	yes	—
589	#20955	C₂³	1	1	yes	characteristic
590	#20952	C₂³	1	2	yes	—
591	#20858	C₂³	1	1	yes	characteristic
592	#20723	C₂³	1	1	yes	characteristic
593	#20723	C₂³	1	1	yes	characteristic
594	#20723	C₂³	1	1	yes	characteristic
595	#20723	C₂³	1	1	yes	characteristic
596	#20637	C₂³	1	1	yes	characteristic
597	#20618	C₂³	1	1	yes	characteristic
598	#20618	C₂³	1	2	yes	—
599	#20609	C₂³	1	4	yes	—
600	#20609	C₂³	1	4	yes	—
601	#20609	C₂³	1	4	yes	—
602	C₂×#1790	C₂³	1	4	yes	—
603	#20592	C₂³	1	2	yes	—
604	#20585	C₂³	1	2	yes	—
605	#20585	C₂³	1	2	yes	—
606	#20585	C₂³	1	2	yes	—
607	#20585	C₂³	1	2	yes	—
608	C₄×#413	C₂³	1	1	yes	characteristic
609	#13463	C₂³	1	2	yes	complemented
610	#13462	C₂³	1	2	yes	complemented
611	#13461	C₂³	1	4	yes	complemented
612	#13425	C₂³	1	4	yes	complemented
613	#13425	C₂³	1	4	yes	complemented
614	#13425	C₂³	1	2	yes	complemented
615	#13424	C₂³	1	4	yes	complemented
616	#13424	C₂³	1	4	yes	complemented
617	#13424	C₂³	1	4	yes	complemented
618	#13424	C₂³	1	4	yes	complemented
619	#13424	C₂³	1	2	yes	complemented
620	#13424	C₂³	1	2	yes	complemented
621	#13424	C₂³	1	2	yes	complemented
622	#13423	C₂³	1	4	yes	complemented
623	#13423	C₂³	1	4	yes	complemented
624	#13422	C₂³	1	4	yes	complemented
625	#13422	C₂³	1	4	yes	complemented
626	#13420	C₂³	1	4	yes	complemented
627	#13420	C₂³	1	2	yes	complemented
628	#13419	C₂³	1	2	yes	complemented
629	#13377	C₂³	1	2	yes	—
630	#13377	C₂³	1	4	yes	complemented
631	#13376	C₂³	1	2	yes	—
632	#13376	C₂³	1	4	yes	complemented
633	#13375	C₂³	1	4	yes	—
634	#13375	C₂³	1	4	yes	complemented
635	#13375	C₂³	1	4	yes	complemented
636	#13349	C₂³	1	4	yes	—
637	#13349	C₂³	1	4	yes	—
638	#13349	C₂³	1	2	yes	—
639	#13349	C₂³	1	4	yes	complemented
640	#13349	C₂³	1	4	yes	complemented
641	#13349	C₂³	1	4	yes	complemented
642	#13349	C₂³	1	4	yes	complemented
643	#13349	C₂³	1	4	yes	complemented
644	#13348	C₂³	1	4	yes	—
645	#13348	C₂³	1	4	yes	—
646	#13348	C₂³	1	4	yes	—
647	#13348	C₂³	1	4	yes	—
648	#13348	C₂³	1	2	yes	—
649	#13348	C₂³	1	2	yes	—
650	#13348	C₂³	1	2	yes	—
651	#13348	C₂³	1	4	yes	complemented
652	#13348	C₂³	1	4	yes	complemented
653	#13348	C₂³	1	4	yes	complemented
654	#13348	C₂³	1	4	yes	complemented
655	#13348	C₂³	1	4	yes	complemented
656	#13348	C₂³	1	4	yes	complemented
657	#13348	C₂³	1	4	yes	complemented
658	#13348	C₂³	1	4	yes	complemented
659	#13348	C₂³	1	4	yes	complemented
660	#13348	C₂³	1	4	yes	complemented
661	#13348	C₂³	1	4	yes	complemented
662	#13347	C₂³	1	4	yes	—
663	#13347	C₂³	1	4	yes	—
664	#13347	C₂³	1	4	yes	complemented
665	#13347	C₂³	1	4	yes	complemented
666	#13347	C₂³	1	4	yes	complemented
667	#13347	C₂³	1	4	yes	complemented
668	#13346	C₂³	1	4	yes	—
669	#13346	C₂³	1	4	yes	—
670	#13346	C₂³	1	4	yes	complemented
671	#13346	C₂³	1	4	yes	complemented
672	#13346	C₂³	1	4	yes	complemented
673	#13346	C₂³	1	4	yes	complemented
674	#13344	C₂³	1	4	yes	—
675	#13344	C₂³	1	2	yes	—
676	#13344	C₂³	1	4	yes	complemented
677	#13344	C₂³	1	4	yes	complemented
678	#13344	C₂³	1	4	yes	complemented
679	#13343	C₂³	1	2	yes	—
680	#13343	C₂³	1	4	yes	complemented
681	#13297	C₂³	1	2	yes	complemented
682	#13295	C₂³	1	2	yes	complemented
683	#13295	C₂³	1	2	yes	complemented
684	#13295	C₂³	1	2	yes	complemented
685	#13294	C₂³	1	2	yes	complemented
686	#13292	C₂³	1	2	yes	complemented
687	#13292	C₂³	1	2	yes	complemented
688	#13292	C₂³	1	2	yes	complemented
689	#13225	C₂³	1	4	yes	complemented
690	#13225	C₂³	1	4	yes	complemented
691	#13224	C₂³	1	2	yes	complemented
692	#13224	C₂³	1	2	yes	complemented
693	#13223	C₂³	1	2	yes	complemented
694	#13223	C₂³	1	2	yes	complemented
695	#13222	C₂³	1	2	yes	complemented
696	#13221	C₂³	1	2	yes	complemented
697	#13221	C₂³	1	2	yes	complemented
698	#13220	C₂³	1	2	yes	complemented
699	#13219	C₂³	1	2	yes	complemented
700	#13218	C₂³	1	2	yes	complemented
701	#13218	C₂³	1	2	yes	complemented
702	#13217	C₂³	1	2	yes	complemented
703	#13090	C₂³	1	4	yes	complemented
704	#13090	C₂³	1	4	yes	complemented
705	#13090	C₂³	1	4	yes	complemented
706	#13090	C₂³	1	4	yes	complemented
707	#13088	C₂³	1	4	yes	complemented
708	#13088	C₂³	1	4	yes	complemented
709	#13088	C₂³	1	4	yes	complemented
710	#13088	C₂³	1	4	yes	complemented
711	#13086	C₂³	1	4	yes	complemented
712	#13086	C₂³	1	4	yes	complemented
713	#13086	C₂³	1	4	yes	complemented
714	#13086	C₂³	1	4	yes	complemented
715	#13086	C₂³	1	4	yes	complemented
716	#13084	C₂³	1	4	yes	complemented
717	#13084	C₂³	1	4	yes	complemented
718	#13084	C₂³	1	4	yes	complemented
719	#13083	C₂³	1	2	yes	—
720	#13083	C₂³	1	2	yes	—
721	#13083	C₂³	1	1	yes	characteristic
722	#13083	C₂³	1	1	yes	characteristic
723	#13083	C₂³	1	2	yes	—
724	#13083	C₂³	1	2	yes	—
725	#13083	C₂³	1	2	yes	—
726	#13083	C₂³	1	2	yes	—
727	#13083	C₂³	1	1	yes	characteristic
728	#13083	C₂³	1	2	yes	—
729	#13083	C₂³	1	1	yes	characteristic
730	#13083	C₂³	1	1	yes	characteristic
731	#13083	C₂³	1	1	yes	characteristic
732	#13082	C₂³	1	4	yes	complemented
733	#13082	C₂³	1	4	yes	complemented
734	#13082	C₂³	1	4	yes	complemented
735	#13082	C₂³	1	4	yes	complemented
736	#13082	C₂³	1	4	yes	complemented
737	#13081	C₂³	1	2	yes	—
738	#13081	C₂³	1	2	yes	—
739	#13081	C₂³	1	2	yes	—
740	#13081	C₂³	1	2	yes	—
741	#13081	C₂³	1	1	yes	characteristic
742	#13081	C₂³	1	1	yes	characteristic
743	#13081	C₂³	1	2	yes	—
744	#13080	C₂³	1	4	yes	complemented
745	#13080	C₂³	1	4	yes	complemented
746	#13080	C₂³	1	4	yes	complemented
747	#13050	C₂³	1	2	yes	—
748	#13050	C₂³	1	4	yes	—
749	#13050	C₂³	1	4	yes	complemented
750	#13050	C₂³	1	4	yes	complemented
751	#13050	C₂³	1	4	yes	complemented
752	#13049	C₂³	1	4	yes	—
753	#13049	C₂³	1	4	yes	complemented
754	#13049	C₂³	1	4	yes	complemented
755	#13048	C₂³	1	4	yes	—
756	#13048	C₂³	1	4	yes	—
757	#13048	C₂³	1	2	yes	—
758	#13048	C₂³	1	4	yes	complemented
759	#13048	C₂³	1	4	yes	complemented
760	#13048	C₂³	1	4	yes	complemented
761	#13048	C₂³	1	4	yes	complemented
762	#13048	C₂³	1	4	yes	complemented
763	#13047	C₂³	1	4	yes	—
764	#13047	C₂³	1	4	yes	complemented
765	#13047	C₂³	1	4	yes	complemented
766	#13044	C₂³	1	4	yes	—
767	#13044	C₂³	1	4	yes	complemented
768	#13044	C₂³	1	4	yes	complemented
769	#13043	C₂³	1	2	yes	—
770	#13043	C₂³	1	2	yes	—
771	#13043	C₂³	1	4	yes	complemented
772	#13043	C₂³	1	4	yes	complemented
773	#13042	C₂³	1	2	yes	—
774	#13042	C₂³	1	4	yes	complemented
775	#13041	C₂³	1	4	yes	—
776	#13041	C₂³	1	2	yes	—
777	#13041	C₂³	1	4	yes	complemented
778	#13041	C₂³	1	4	yes	complemented
779	#13041	C₂³	1	4	yes	complemented
780	#12967	C₂³	1	4	yes	complemented
781	#12967	C₂³	1	2	yes	complemented
782	#12966	C₂³	1	4	yes	complemented
783	#12965	C₂³	1	4	yes	complemented
784	#12965	C₂³	1	4	yes	complemented
785	#12965	C₂³	1	2	yes	complemented
786	#12964	C₂³	1	4	yes	complemented
787	#12961	C₂³	1	4	yes	complemented
788	#12960	C₂³	1	2	yes	complemented
789	#12960	C₂³	1	2	yes	complemented
790	#12959	C₂³	1	2	yes	complemented
791	#12958	C₂³	1	4	yes	complemented
792	#12958	C₂³	1	2	yes	complemented
793	#12859	C₂³	1	1	yes	characteristic
794	#12859	C₂³	1	2	yes	—
795	#12859	C₂³	1	1	yes	characteristic
796	#12854	C₂³	1	4	yes	complemented
797	#12854	C₂³	1	4	yes	complemented
798	#12854	C₂³	1	4	yes	complemented
799	#12852	C₂³	1	4	yes	complemented
800	#12800	C₂³	1	2	yes	complemented
801	#12800	C₂³	1	2	yes	complemented
802	#12798	C₂³	1	2	yes	complemented
803	#12798	C₂³	1	2	yes	complemented
804	#12796	C₂³	1	4	yes	complemented
805	#12794	C₂³	1	2	yes	complemented
806	#12793	C₂³	1	2	yes	complemented
807	#12793	C₂³	1	2	yes	complemented
808	#12793	C₂³	1	2	yes	complemented
809	#12793	C₂³	1	4	yes	complemented
810	#12763	C₂³	1	2	yes	complemented
811	#12762	C₂³	1	4	yes	complemented
812	#12761	C₂³	1	4	yes	complemented
813	#12761	C₂³	1	4	yes	complemented
814	#12761	C₂³	1	2	yes	complemented
815	#12761	C₂³	1	4	yes	complemented
816	#12759	C₂³	1	4	yes	complemented
817	#12698	C₂³	1	1	yes	characteristic
818	#12698	C₂³	1	1	yes	characteristic
819	#12698	C₂³	1	2	yes	—
820	#12696	C₂³	1	4	yes	complemented
821	#12696	C₂³	1	4	yes	complemented
822	#12695	C₂³	1	2	yes	—
823	#12695	C₂³	1	2	yes	—
824	#12695	C₂³	1	2	yes	—
825	#12695	C₂³	1	2	yes	—
826	#12694	C₂³	1	4	yes	complemented
827	#12694	C₂³	1	4	yes	complemented
828	#12690	C₂³	1	4	yes	complemented
829	#12688	C₂³	1	4	yes	complemented
830	#12687	C₂³	1	4	yes	complemented
831	#12687	C₂³	1	4	yes	complemented
832	#12627	C₂³	1	2	yes	complemented
833	#12627	C₂³	1	2	yes	complemented
834	C₄×#354	C₂³	1	2	yes	complemented
835	C₄×#354	C₂³	1	2	yes	complemented
836	#12621	C₂³	1	4	yes	complemented
837	C₄×#352	C₂³	1	2	yes	complemented
838	C₄×AΣL(1,𝔽₁₆)	C₂³	1	2	yes	complemented
839	C₄×AΣL(1,𝔽₁₆)	C₂³	1	2	yes	complemented
840	C₄×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	complemented
841	C₄×AΣL(1,𝔽₁₆)	C₂³	1	2	yes	complemented
842	#12574	C₂³	1	4	yes	complemented
843	#12574	C₂³	1	4	yes	complemented
844	#12574	C₂³	1	4	yes	complemented
845	C₂×#1390	C₂³	1	4	yes	complemented
846	C₂×#585	C₂⁴	1	1	yes	characteristic
847	C₂×#585	C₂⁴	1	2	yes	—
848	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	complemented
849	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
850	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
851	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
852	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
853	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
854	C₂⁴×D₄	C₂×D₄	1	2	yes	—
855	C₂×H(3,𝔽₄)	C₂⁴	1	1	yes	characteristic
856	C₂×#560	C₂⁴	1	2	yes	—
857	#3496	C₂⁴	1	2	yes	—
858	#3496	C₂⁴	1	2	yes	—
859	#3484	C₂⁴	1	4	yes	—
860	#3484	C₂⁴	1	4	yes	—
861	C₂×#551	C₂⁴	1	2	yes	—
862	C₂×#551	C₂⁴	1	1	yes	characteristic
863	C₂×#551	C₂⁴	1	2	yes	—
864	C₂×#551	C₂⁴	1	2	yes	—
865	C₂×#550	C₂×D₄	1	1	yes	characteristic
866	C₂×#550	C₂×D₄	1	1	yes	characteristic
867	C₂×#550	C₂×D₄	1	2	yes	—
868	C₂×#550	C₂×D₄	1	1	yes	characteristic, complemented
869	C₂×#550	C₂×D₄	1	1	yes	characteristic, complemented
870	C₂×D₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
871	C₂×D₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
872	C₂×#548	C₂×D₄	1	2	yes	complemented
873	C₂×#548	C₂×D₄	1	2	yes	complemented
874	C₂×D₄²	C₂×D₄	1	2	yes	—
875	C₂×D₄²	C₂×D₄	1	2	yes	—
876	C₂×D₄²	C₂×D₄	1	1	yes	characteristic
877	C₂×D₄²	C₂×D₄	1	1	yes	characteristic
878	C₂×D₄²	C₂×D₄	1	1	yes	characteristic
879	C₂×D₄²	C₂×D₄	1	1	yes	characteristic
880	C₂×D₄²	C₂⁴	1	2	yes	—
881	C₂×D₄²	C₂⁴	1	1	yes	characteristic
882	C₂×D₄²	C₂⁴	1	1	yes	characteristic
883	C₂×D₄²	C₂⁴	1	2	yes	—
884	C₂×#537	C₂×D₄	1	2	yes	complemented
885	C₂×#536	C₂×D₄	1	2	yes	complemented
886	C₂×#536	C₂×D₄	1	2	yes	complemented
887	C₂×#536	C₂⁴	1	1	yes	characteristic
888	C₂×#535	C₂×D₄	1	2	yes	—
889	C₂×#535	C₂×D₄	1	2	yes	—
890	C₂×#535	C₂×D₄	1	2	yes	—
891	C₂×#535	C₂×D₄	1	2	yes	complemented
892	C₂×#535	C₂×D₄	1	2	yes	complemented
893	C₂×#535	C₂⁴	1	2	yes	—
894	C₂×#535	C₂⁴	1	2	yes	—
895	C₂×#534	C₂×D₄	1	2	yes	complemented
896	C₂×#534	C₂⁴	1	2	yes	—
897	C₂×#532	C₂×D₄	1	1	yes	characteristic
898	C₂×#532	C₂×D₄	1	1	yes	characteristic
899	C₂×#532	C₂×D₄	1	1	yes	characteristic
900	C₂×#532	C₂×D₄	1	1	yes	characteristic, complemented
901	C₂×#532	C₂×D₄	1	2	yes	complemented
902	C₂×#532	C₂×D₄	1	2	yes	complemented
903	C₂×#532	C₂⁴	1	2	yes	—
904	C₂²×#127	C₂×D₄	1	1	yes	characteristic
905	C₂²×#127	C₂×D₄	1	1	yes	characteristic
906	C₂²×#127	C₂×D₄	1	1	yes	characteristic
907	C₂²×#125	C₂×D₄	1	1	yes	characteristic, complemented
908	C₂²×#124	C₂×D₄	1	2	yes	complemented
909	C₂²×#124	C₂⁴	1	2	yes	—
910	C₂²×#124	C₂⁴	1	2	yes	—
911	C₂²×#123	C₂×D₄	1	2	yes	complemented
912	C₂²×#123	C₂×D₄	1	2	yes	complemented
913	C₂²×#123	C₂×D₄	1	2	yes	complemented
914	C₂²×#123	C₂⁴	1	2	yes	—
915	C₂²×#121	C₂×D₄	1	2	yes	—
916	C₂²×#121	C₂×D₄	1	1	yes	characteristic
917	C₂²×#121	C₂×D₄	1	1	yes	characteristic
918	C₂²×#121	C₂×D₄	1	2	yes	complemented
919	C₂²×#121	C₂×D₄	1	2	yes	complemented
920	C₂²×#121	C₂×D₄	1	1	yes	characteristic, complemented
921	C₂²×#121	C₂×D₄	1	1	yes	characteristic, complemented
922	C₂²×#120	C₂×D₄	1	2	yes	—
923	C₂²×#120	C₂×D₄	1	2	yes	—
924	C₂²×#120	C₂×D₄	1	2	yes	—
925	C₂²×#120	C₂×D₄	1	2	yes	—
926	C₂²×#120	C₂⁴	1	2	yes	—
927	C₂²×#120	C₂⁴	1	2	yes	—
928	C₄×H(5,𝔽₂)	C₂⁴	1	2	yes	—
929	C₄×H(5,𝔽₂)	C₂⁴	1	2	yes	—
930	#3428	C₂⁴	1	1	yes	characteristic
931	C₂×C₄×#41	C₂×D₄	1	2	yes	complemented
932	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
933	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
934	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
935	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
936	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
937	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
938	C₂²×#117	C₂×D₄	1	1	yes	characteristic, complemented
939	C₂×#458	C₂⁴	1	2	yes	—
940	C₂×#458	C₂⁴	1	4	yes	—
941	C₂×#458	C₂⁴	1	4	yes	—
942	C₂×#458	C₂⁴	1	4	yes	—
943	C₂×#458	C₂⁴	1	4	yes	—
944	C₂×B(4,𝔽₂)	C₂⁴	1	2	yes	—
945	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
946	C₂×B(4,𝔽₂)	C₂⁴	1	2	yes	—
947	C₂×B(4,𝔽₂)	C₂⁴	1	2	yes	—
948	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
949	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
950	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
951	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
952	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
953	C₂×#455	C₂⁴	1	4	yes	—
954	C₂×#455	C₂⁴	1	2	yes	—
955	C₂×#455	C₂⁴	1	4	yes	—
956	C₂×#455	C₂⁴	1	4	yes	—
957	C₂×#455	C₂⁴	1	2	yes	—
958	C₂×#455	C₂⁴	1	4	yes	—
959	C₂×#455	C₂⁴	1	4	yes	—
960	C₂×#453	C₂⁴	1	4	yes	—
961	C₂×#453	C₂⁴	1	4	yes	—
962	C₂×#453	C₂⁴	1	4	yes	—
963	C₂×#413	C₂⁴	1	1	yes	characteristic
964	C₂×#413	C₂⁴	1	1	yes	characteristic
965	C₂×#413	C₂⁴	1	2	yes	—
966	C₂²×#100	C₂⁴	1	4	yes	—
967	C₂²×#100	C₂⁴	1	4	yes	—
968	C₂²×#99	C₂⁴	1	4	yes	—
969	C₂²×#99	C₂⁴	1	4	yes	—
970	C₂²×#99	C₂⁴	1	4	yes	—
971	C₂²×#99	C₂⁴	1	4	yes	—
972	#2867	C₂×D₄	1	1	yes	characteristic, complemented
973	#2867	C₂×D₄	1	1	yes	characteristic, complemented
974	#2858	C₂×D₄	1	1	yes	characteristic, complemented
975	#2858	C₂×D₄	1	1	yes	characteristic, complemented
976	#2856	C₂×D₄	1	2	yes	complemented
977	#2856	C₂×D₄	1	2	yes	complemented
978	#2854	C₂×D₄	1	1	yes	characteristic, complemented
979	#2854	C₂×D₄	1	1	yes	characteristic, complemented
980	#2850	C₂×D₄	1	2	yes	complemented
981	#2850	C₂×D₄	1	2	yes	complemented
982	#2849	C₂×D₄	1	2	yes	complemented
983	#2849	C₂×D₄	1	2	yes	complemented
984	#2849	C₂×D₄	1	2	yes	complemented
985	#2849	C₂×D₄	1	2	yes	complemented
986	#2847	C₂×D₄	1	1	yes	characteristic
987	#2847	C₂×D₄	1	1	yes	characteristic
988	#2847	C₂×D₄	1	2	yes	—
989	#2847	C₂×D₄	1	2	yes	—
990	#2847	C₂×D₄	1	1	yes	characteristic
991	#2847	C₂×D₄	1	1	yes	characteristic
992	#2847	C₂×D₄	1	1	yes	characteristic, complemented
993	#2847	C₂×D₄	1	1	yes	characteristic, complemented
994	#2846	C₂×D₄	1	2	yes	—
995	#2846	C₂×D₄	1	2	yes	—
996	#2846	C₂×D₄	1	2	yes	—
997	#2846	C₂×D₄	1	2	yes	—
998	#2804	C₂⁴	1	1	yes	characteristic
999	#2748	C₂⁴	1	1	yes	characteristic
1000	#2717	C₂⁴	1	1	yes	characteristic
1001	#2717	C₂⁴	1	2	yes	—
1002	#2717	C₂⁴	1	2	yes	—
1003	#2709	C₂⁴	1	2	yes	—
1004	#2709	C₂⁴	1	2	yes	—
1005	#2697	C₂⁴	1	2	yes	—
1006	#2697	C₂⁴	1	1	yes	characteristic
1007	#2684	C₂⁴	1	2	yes	—
1008	#2684	C₂⁴	1	2	yes	—
1009	#2684	C₂⁴	1	1	yes	characteristic
1010	#2684	C₂⁴	1	2	yes	—
1011	#2684	C₂⁴	1	2	yes	—
1012	#2684	C₂⁴	1	1	yes	characteristic
1013	#2684	C₂⁴	1	1	yes	characteristic
1014	#2683	C₂⁴	1	2	yes	—
1015	#2679	C₂⁴	1	1	yes	characteristic
1016	#2669	C₂⁴	1	2	yes	—
1017	#2669	C₂⁴	1	2	yes	—
1018	#2657	C₂×D₄	1	2	yes	complemented
1019	#2657	C₂×D₄	1	2	yes	complemented
1020	#2622	C₂×D₄	1	2	yes	—
1021	#2622	C₂×D₄	1	2	yes	—
1022	#2622	C₂×D₄	1	2	yes	—
1023	#2622	C₂×D₄	1	2	yes	—
1024	#2622	C₂×D₄	1	2	yes	complemented
1025	#2622	C₂×D₄	1	2	yes	complemented
1026	#2620	C₂×D₄	1	2	yes	complemented
1027	#2620	C₂×D₄	1	2	yes	complemented
1028	#2619	C₂×D₄	1	2	yes	complemented
1029	#2619	C₂×D₄	1	2	yes	complemented
1030	#2618	C₂×D₄	1	2	yes	complemented
1031	#2618	C₂×D₄	1	2	yes	complemented
1032	#2613	C₂×D₄	1	2	yes	complemented
1033	#2613	C₂×D₄	1	2	yes	complemented
1034	#2591	C₂×D₄	1	2	yes	complemented
1035	#2579	C₂×D₄	1	1	yes	characteristic, complemented
1036	#2579	C₂⁴	1	1	yes	characteristic
1037	#2548	C₂×D₄	1	1	yes	characteristic, complemented
1038	#2548	C₂×D₄	1	1	yes	characteristic, complemented
1039	#2548	C₂×D₄	1	1	yes	characteristic, complemented
1040	#2548	C₂×D₄	1	2	yes	complemented
1041	#2548	C₂×D₄	1	2	yes	complemented
1042	#2548	C₂×D₄	1	1	yes	characteristic, complemented
1043	#2548	C₂×D₄	1	1	yes	characteristic, complemented
1044	#2547	C₂⁴	1	1	yes	characteristic
1045	#2546	C₂×D₄	1	1	yes	characteristic, complemented
1046	#2545	C₂×D₄	1	2	yes	complemented
1047	#2544	C₂⁴	1	2	yes	—
1048	#2541	C₂⁴	1	1	yes	characteristic
1049	#2539	C₂×D₄	1	2	yes	complemented
1050	#2534	C₂×D₄	1	1	yes	characteristic, complemented
1051	#2534	C₂⁴	1	1	yes	characteristic
1052	#2504	C₂×D₄	1	1	yes	characteristic
1053	#2504	C₂×D₄	1	2	yes	—
1054	#2504	C₂×D₄	1	1	yes	characteristic
1055	#2504	C₂×D₄	1	1	yes	characteristic, complemented
1056	#2504	C₂×D₄	1	1	yes	characteristic, complemented
1057	#2501	C₂×D₄	1	1	yes	characteristic, complemented
1058	#2501	C₂×D₄	1	1	yes	characteristic, complemented
1059	#2487	C₂×D₄	1	1	yes	characteristic
1060	#2487	C₂×D₄	1	1	yes	characteristic
1061	#2487	C₂×D₄	1	1	yes	characteristic, complemented
1062	#2487	C₂⁴	1	1	yes	characteristic
1063	#2487	C₂⁴	1	1	yes	characteristic
1064	#2487	C₂⁴	1	1	yes	characteristic
1065	#2486	C₂×D₄	1	1	yes	characteristic, complemented
1066	#2486	C₂⁴	1	1	yes	characteristic
1067	#2484	C₂×D₄	1	1	yes	characteristic, complemented
1068	#2484	C₂×D₄	1	2	yes	complemented
1069	#2482	C₂×D₄	1	2	yes	—
1070	#2482	C₂×D₄	1	1	yes	characteristic
1071	#2482	C₂×D₄	1	1	yes	characteristic
1072	#2482	C₂×D₄	1	1	yes	characteristic, complemented
1073	#2436	C₂×D₄	1	2	yes	complemented
1074	#2436	C₂×D₄	1	2	yes	complemented
1075	#2436	C₂×D₄	1	2	yes	complemented
1076	#2436	C₂×D₄	1	2	yes	complemented
1077	#2435	C₂⁴	1	2	yes	—
1078	#2435	C₂⁴	1	2	yes	—
1079	#2433	C₂×D₄	1	1	yes	characteristic
1080	#2433	C₂×D₄	1	2	yes	—
1081	#2433	C₂×D₄	1	1	yes	characteristic
1082	#2433	C₂⁴	1	2	yes	—
1083	#2433	C₂⁴	1	2	yes	—
1084	#2432	C₂×D₄	1	2	yes	complemented
1085	#2432	C₂×D₄	1	2	yes	complemented
1086	#2431	C₂×D₄	1	2	yes	complemented
1087	#2431	C₂×D₄	1	2	yes	complemented
1088	#2431	C₂×D₄	1	2	yes	complemented
1089	#2431	C₂×D₄	1	2	yes	complemented
1090	#2431	C₂×D₄	1	2	yes	complemented
1091	#2431	C₂×D₄	1	2	yes	complemented
1092	#2412	C₂×D₄	1	2	yes	complemented
1093	#2412	C₂×D₄	1	2	yes	complemented
1094	#2412	C₂×D₄	1	2	yes	complemented
1095	#2412	C₂×D₄	1	2	yes	complemented
1096	#2412	C₂×D₄	1	2	yes	complemented
1097	#2412	C₂×D₄	1	2	yes	complemented
1098	#2410	C₂×D₄	1	2	yes	—
1099	#2410	C₂×D₄	1	2	yes	—
1100	#2410	C₂×D₄	1	2	yes	—
1101	#2410	C₂×D₄	1	2	yes	—
1102	#2410	C₂×D₄	1	2	yes	—
1103	#2410	C₂×D₄	1	2	yes	—
1104	#2410	C₂×D₄	1	2	yes	—
1105	#2410	C₂×D₄	1	2	yes	—
1106	#2410	C₂×D₄	1	2	yes	complemented
1107	#2410	C₂×D₄	1	2	yes	complemented
1108	#2408	C₂×D₄	1	1	yes	characteristic
1109	#2408	C₂×D₄	1	1	yes	characteristic
1110	#2408	C₂⁴	1	1	yes	characteristic
1111	#2408	C₂⁴	1	1	yes	characteristic
1112	#2406	C₂×D₄	1	2	yes	complemented
1113	#2406	C₂×D₄	1	2	yes	complemented
1114	#2406	C₂×D₄	1	2	yes	complemented
1115	#2406	C₂⁴	1	2	yes	—
1116	#2406	C₂⁴	1	1	yes	characteristic
1117	#2405	C₂×D₄	1	2	yes	complemented
1118	#2405	C₂×D₄	1	2	yes	complemented
1119	#2405	C₂×D₄	1	2	yes	complemented
1120	#2405	C₂⁴	1	2	yes	—
1121	#2405	C₂⁴	1	2	yes	—
1122	#2405	C₂⁴	1	2	yes	—
1123	#2404	C₂×D₄	1	2	yes	—
1124	#2404	C₂×D₄	1	2	yes	—
1125	#2404	C₂×D₄	1	2	yes	—
1126	#2404	C₂×D₄	1	2	yes	—
1127	#2404	C₂×D₄	1	2	yes	complemented
1128	#2404	C₂⁴	1	1	yes	characteristic
1129	#2404	C₂⁴	1	1	yes	characteristic
1130	#2404	C₂⁴	1	2	yes	—
1131	#2404	C₂⁴	1	1	yes	characteristic
1132	#2403	C₂×D₄	1	2	yes	—
1133	#2403	C₂×D₄	1	2	yes	—
1134	#2403	C₂×D₄	1	2	yes	—
1135	#2403	C₂×D₄	1	2	yes	—
1136	#2403	C₂×D₄	1	2	yes	complemented
1137	#2403	C₂⁴	1	2	yes	—
1138	#2403	C₂⁴	1	2	yes	—
1139	#2403	C₂⁴	1	2	yes	—
1140	#2403	C₂⁴	1	2	yes	—
1141	#2403	C₂⁴	1	2	yes	—
1142	#2380	C₂⁴	1	2	yes	—
1143	#2379	C₂⁴	1	1	yes	characteristic
1144	#2379	C₂⁴	1	2	yes	—
1145	#2376	C₂⁴	1	2	yes	—
1146	#2375	C₂⁴	1	1	yes	characteristic
1147	#2375	C₂⁴	1	1	yes	characteristic
1148	#2374	C₂⁴	1	1	yes	characteristic
1149	#2372	C₂⁴	1	2	yes	—
1150	#2372	C₂⁴	1	2	yes	—
1151	#2372	C₂⁴	1	1	yes	characteristic
1152	#2366	C₂⁴	1	2	yes	—
1153	#2358	C₂⁴	1	2	yes	—
1154	#2358	C₂⁴	1	1	yes	characteristic
1155	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1156	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1157	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
1158	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1159	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
1160	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
1161	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
1162	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
1163	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
1164	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
1165	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
1166	D₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
1167	#2327	C₂×D₄	1	1	yes	characteristic, complemented
1168	#2327	C₂×D₄	1	1	yes	characteristic, complemented
1169	#2326	C₂⁴	1	1	yes	characteristic
1170	#2326	C₂⁴	1	1	yes	characteristic
1171	#2322	C₂×D₄	1	2	yes	complemented
1172	#2322	C₂⁴	1	2	yes	—
1173	#2317	C₂×D₄	1	1	yes	characteristic, complemented
1174	#2311	C₂⁴	1	1	yes	characteristic
1175	#2310	C₂×D₄	1	1	yes	characteristic, complemented
1176	#2308	C₂×D₄	1	2	yes	—
1177	#2308	C₂×D₄	1	2	yes	—
1178	#2308	C₂×D₄	1	2	yes	—
1179	#2308	C₂×D₄	1	2	yes	—
1180	#2308	C₂×D₄	1	2	yes	complemented
1181	#2308	C₂×D₄	1	2	yes	complemented
1182	#2308	C₂×D₄	1	2	yes	complemented
1183	#2308	C₂⁴	1	2	yes	—
1184	#2308	C₂⁴	1	2	yes	—
1185	#2308	C₂⁴	1	2	yes	—
1186	C₄×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
1187	C₄×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
1188	C₄×#124	C₂⁴	1	1	yes	characteristic
1189	C₄×#124	C₂⁴	1	1	yes	characteristic
1190	C₄×#123	C₂×D₄	1	1	yes	characteristic, complemented
1191	C₄×#123	C₂⁴	1	1	yes	characteristic
1192	C₄×#120	C₂×D₄	1	1	yes	characteristic
1193	C₄×#120	C₂×D₄	1	2	yes	—
1194	C₄×#120	C₂×D₄	1	1	yes	characteristic
1195	C₄×#120	C₂×D₄	1	1	yes	characteristic, complemented
1196	C₄×#120	C₂⁴	1	1	yes	characteristic
1197	C₄×#120	C₂⁴	1	1	yes	characteristic
1198	C₄×#120	C₂⁴	1	1	yes	characteristic
1199	C₄×#120	C₂⁴	1	2	yes	—
1200	#2297	C₂×D₄	1	2	yes	complemented
1201	#2297	C₂×D₄	1	2	yes	complemented
1202	#2293	C₂×D₄	1	1	yes	characteristic, complemented
1203	#2293	C₂×D₄	1	1	yes	characteristic, complemented
1204	C₂×#390	C₂×D₄	1	2	yes	complemented
1205	#2290	C₂×D₄	1	2	yes	complemented
1206	#2290	C₂×D₄	1	2	yes	complemented
1207	C₂×#386	C₂×D₄	1	2	yes	complemented
1208	C₂×#386	C₂⁴	1	2	yes	—
1209	#2283	C₂×D₄	1	1	yes	characteristic
1210	#2283	C₂×D₄	1	1	yes	characteristic
1211	#2283	C₂×D₄	1	1	yes	characteristic, complemented
1212	#2283	C₂×D₄	1	1	yes	characteristic, complemented
1213	C₄²×D₄	C₂×D₄	1	1	yes	characteristic, complemented
1214	C₄²×D₄	C₂×D₄	1	1	yes	characteristic, complemented
1215	C₄×#117	C₂×D₄	1	1	yes	characteristic, complemented
1216	C₂×C₄×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
1217	C₂×#354	C₂⁴	1	2	yes	—
1218	C₂×#354	C₂⁴	1	2	yes	—
1219	C₂×#354	C₂⁴	1	4	yes	—
1220	C₂×#354	C₂⁴	1	2	yes	—
1221	C₂×#354	C₂⁴	1	2	yes	—
1222	C₂×#354	C₂⁴	1	4	yes	—
1223	C₂×#354	C₂⁴	1	4	yes	—
1224	C₂×#354	C₂⁴	1	4	yes	—
1225	C₂×#354	C₂⁴	1	4	yes	—
1226	C₂×#354	C₂⁴	1	4	yes	—
1227	C₂×#353	C₂⁴	1	4	yes	—
1228	C₂×#353	C₂⁴	1	4	yes	—
1229	C₂×#353	C₂⁴	1	4	yes	—
1230	C₂×#353	C₂⁴	1	4	yes	—
1231	C₂×#352	C₂⁴	1	2	yes	—
1232	C₂×#352	C₂⁴	1	4	yes	—
1233	C₂×#352	C₂⁴	1	4	yes	—
1234	C₂×#352	C₂⁴	1	4	yes	—
1235	C₂×#352	C₂⁴	1	2	yes	—
1236	C₂×#352	C₂⁴	1	4	yes	—
1237	C₂×#352	C₂⁴	1	4	yes	—
1238	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1239	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1240	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1241	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1242	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1243	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1244	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1245	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1246	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1247	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1248	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1249	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1250	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1251	#1890	C₂⁴	1	2	yes	—
1252	#1890	C₂⁴	1	4	yes	—
1253	#1889	C₂⁴	1	2	yes	—
1254	#1889	C₂⁴	1	4	yes	—
1255	#1889	C₂⁴	1	2	yes	—
1256	#1889	C₂⁴	1	2	yes	—
1257	#1887	C₂⁴	1	4	yes	—
1258	#1885	C₂⁴	1	4	yes	—
1259	#1885	C₂⁴	1	2	yes	—
1260	#1885	C₂⁴	1	2	yes	—
1261	#1867	C₂⁴	1	2	yes	—
1262	#1867	C₂⁴	1	4	yes	—
1263	#1867	C₂⁴	1	2	yes	—
1264	#1867	C₂⁴	1	4	yes	—
1265	#1867	C₂⁴	1	2	yes	—
1266	#1867	C₂⁴	1	2	yes	—
1267	#1856	C₂⁴	1	2	yes	—
1268	#1856	C₂⁴	1	2	yes	—
1269	#1800	C₂⁴	1	2	yes	—
1270	#1800	C₂⁴	1	2	yes	—
1271	#1799	C₂⁴	1	2	yes	—
1272	#1799	C₂⁴	1	2	yes	—
1273	#1799	C₂⁴	1	2	yes	—
1274	#1799	C₂⁴	1	2	yes	—
1275	#1792	C₂⁴	1	2	yes	—
1276	#1792	C₂⁴	1	4	yes	—
1277	#1792	C₂⁴	1	2	yes	—
1278	#1792	C₂⁴	1	4	yes	—
1279	#1790	C₂⁴	1	2	yes	—
1280	#1790	C₂⁴	1	4	yes	—
1281	#1790	C₂⁴	1	4	yes	—
1282	#1790	C₂⁴	1	4	yes	—
1283	#1790	C₂⁴	1	4	yes	—
1284	#1790	C₂⁴	1	2	yes	—
1285	#1790	C₂⁴	1	4	yes	—
1286	#1790	C₂⁴	1	4	yes	—
1287	#1790	C₂⁴	1	4	yes	—
1288	#1790	C₂⁴	1	4	yes	—
1289	#1790	C₂⁴	1	2	yes	—
1290	#1790	C₂⁴	1	2	yes	—
1291	#1790	C₂⁴	1	4	yes	—
1292	#1790	C₂⁴	1	4	yes	—
1293	#1783	C₂⁴	1	4	yes	—
1294	#1783	C₂⁴	1	4	yes	—
1295	#1782	C₂⁴	1	1	yes	characteristic
1296	#1782	C₂⁴	1	1	yes	characteristic
1297	#1782	C₂⁴	1	2	yes	—
1298	#1782	C₂⁴	1	2	yes	—
1299	#1782	C₂⁴	1	1	yes	characteristic
1300	#1782	C₂⁴	1	1	yes	characteristic
1301	#1781	C₂⁴	1	4	yes	—
1302	#1781	C₂⁴	1	4	yes	—
1303	#1781	C₂⁴	1	4	yes	—
1304	#1781	C₂⁴	1	4	yes	—
1305	C₄×#100	C₂⁴	1	2	yes	—
1306	C₄×#100	C₂⁴	1	2	yes	—
1307	C₄×#99	C₂⁴	1	2	yes	—
1308	C₄×#99	C₂⁴	1	2	yes	—
1309	C₄×#99	C₂⁴	1	2	yes	—
1310	C₄×#99	C₂⁴	1	2	yes	—
1311	#1393	C₂⁴	1	2	yes	—
1312	#1393	C₂⁴	1	2	yes	—
1313	#1393	C₂⁴	1	2	yes	—
1314	#1393	C₂⁴	1	2	yes	—
1315	#1393	C₂⁴	1	4	yes	—
1316	#1393	C₂⁴	1	4	yes	—
1317	#1390	C₂⁴	1	2	yes	—
1318	#1390	C₂⁴	1	2	yes	—
1319	#1390	C₂⁴	1	4	yes	—
1320	#1390	C₂⁴	1	4	yes	—
1321	#1390	C₂⁴	1	4	yes	—
1322	#1390	C₂⁴	1	4	yes	—
1323	#1390	C₂⁴	1	4	yes	—
1324	#1390	C₂⁴	1	2	yes	—
1325	#1390	C₂⁴	1	4	yes	—
1326	#1390	C₂⁴	1	2	yes	—
1327	#1390	C₂⁴	1	4	yes	—
1328	#1390	C₂⁴	1	2	yes	—
1329	#1390	C₂⁴	1	4	yes	—
1330	#1390	C₂⁴	1	4	yes	—
1331	#1390	C₂⁴	1	4	yes	—
1332	#1390	C₂⁴	1	4	yes	—
1333	#1390	C₂⁴	1	2	yes	—
1334	#1390	C₂⁴	1	2	yes	—
1335	#1390	C₂⁴	1	4	yes	—
1336	#1390	C₂⁴	1	2	yes	—
1337	C₂⁶	C₂²×D₄	1	2	yes	—
1338	C₂⁶	C₂²×D₄	1	2	yes	—
1339	C₂×H(5,𝔽₂)	C₂⁵	1	4	yes	—
1340	C₂×H(5,𝔽₂)	C₂⁵	1	2	yes	—
1341	C₂²×#41	C₂²×D₄	1	2	yes	—
1342	C₂²×#41	C₂²×D₄	1	2	yes	—
1343	C₂²×#41	C₂²×D₄	1	2	yes	—
1344	C₂²×#41	C₂²×D₄	1	2	yes	—
1345	C₂²×#41	C₂²×D₄	1	2	yes	—
1346	C₂²×#41	C₂²×D₄	1	2	yes	—
1347	C₂²×#41	C₂²×D₄	1	2	yes	—
1348	C₂²×#41	C₂²×D₄	1	2	yes	—
1349	C₂²×#41	C₂⁵	1	1	yes	characteristic
1350	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
1351	C₂³×Q₈	C₂²×D₄	1	2	yes	—
1352	C₂³×Q₈	C₂²×D₄	1	2	yes	—
1353	C₂³×D₄	#120	1	1	yes	characteristic
1354	C₂³×D₄	#120	1	1	yes	characteristic
1355	C₂³×D₄	#120	1	2	yes	—
1356	C₂³×D₄	C₂²×D₄	1	2	yes	—
1357	C₂³×D₄	C₂²×D₄	1	2	yes	—
1358	C₂³×D₄	C₂²×D₄	1	2	yes	—
1359	C₂³×D₄	C₂²×D₄	1	2	yes	—
1360	C₂³×D₄	C₂²×D₄	1	2	yes	—
1361	C₂³×D₄	C₂²×D₄	1	2	yes	—
1362	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1363	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1364	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1365	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1366	C₂³×D₄	C₂²×D₄	1	2	yes	—
1367	C₂³×D₄	C₂²×D₄	1	2	yes	—
1368	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1369	C₂³×D₄	C₂²×D₄	1	2	yes	—
1370	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1371	C₂³×D₄	C₂²×D₄	1	2	yes	—
1372	C₂³×D₄	C₂²×D₄	1	2	yes	—
1373	C₂³×D₄	C₂²×D₄	1	2	yes	—
1374	C₂³×D₄	C₂²×D₄	1	2	yes	—
1375	C₂³×D₄	C₂²×D₄	1	2	yes	—
1376	C₂³×D₄	C₂²×D₄	1	2	yes	—
1377	C₂³×D₄	C₂⁵	1	2	yes	—
1378	C₂³×D₄	C₂⁵	1	2	yes	—
1379	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
1380	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
1381	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
1382	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
1383	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
1384	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
1385	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
1386	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
1387	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
1388	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1389	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
1390	C₂×#127	#120	1	2	yes	—
1391	C₂×#127	#120	1	1	yes	characteristic
1392	C₂×#127	#120	1	2	yes	—
1393	C₂×#127	#120	1	1	yes	characteristic
1394	C₂×#127	#120	1	1	yes	characteristic
1395	C₂×#127	#120	1	1	yes	characteristic
1396	C₂×#127	#120	1	1	yes	characteristic
1397	C₂×#127	#120	1	1	yes	characteristic
1398	C₂×#127	#120	1	2	yes	—
1399	C₂×#127	#120	1	2	yes	—
1400	C₂×#127	#120	1	2	yes	—
1401	C₂×#127	#120	1	1	yes	characteristic
1402	C₂×#127	C₂²×D₄	1	2	yes	—
1403	C₂×#127	C₂²×D₄	1	2	yes	—
1404	C₂×#127	C₂²×D₄	1	1	yes	characteristic
1405	C₂×#127	C₂²×D₄	1	1	yes	characteristic
1406	C₂×#127	C₂²×D₄	1	1	yes	characteristic
1407	C₂×#127	C₂²×D₄	1	2	yes	—
1408	C₂×#127	C₂²×D₄	1	2	yes	—
1409	C₂×#127	C₂²×D₄	1	2	yes	—
1410	C₂×#127	C₂⁵	1	2	yes	—
1411	C₂×#124	#120	1	2	yes	—
1412	C₂×#124	#120	1	2	yes	—
1413	C₂×#124	#120	1	2	yes	—
1414	C₂×#124	C₂²×D₄	1	2	yes	—
1415	C₂×#124	C₂²×D₄	1	2	yes	—
1416	C₂×#124	C₂²×D₄	1	2	yes	—
1417	C₂×#124	C₂²×D₄	1	2	yes	—
1418	C₂×#124	C₂²×D₄	1	2	yes	—
1419	C₂×#124	C₂²×D₄	1	2	yes	—
1420	C₂×#124	C₂²×D₄	1	2	yes	—
1421	C₂×#124	C₂²×D₄	1	2	yes	—
1422	C₂×#124	C₂²×D₄	1	2	yes	—
1423	C₂×#124	C₂²×D₄	1	2	yes	—
1424	C₂×#124	C₂⁵	1	1	yes	characteristic
1425	C₂×#124	C₂⁵	1	2	yes	—
1426	C₂×#124	C₂⁵	1	1	yes	characteristic
1427	C₂×#123	C₂²×D₄	1	2	yes	—
1428	C₂×#123	C₂²×D₄	1	2	yes	—
1429	C₂×#123	C₂²×D₄	1	2	yes	—
1430	C₂×#123	C₂²×D₄	1	2	yes	—
1431	C₂×#123	C₂²×D₄	1	1	yes	characteristic
1432	C₂×#123	C₂²×D₄	1	2	yes	—
1433	C₂×#123	C₂²×D₄	1	2	yes	—
1434	C₂×#123	C₂²×D₄	1	2	yes	—
1435	C₂×#123	C₂⁵	1	2	yes	—
1436	C₂×#123	C₂⁵	1	1	yes	characteristic
1437	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1438	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1439	C₂×#121	#120	1	1	yes	characteristic
1440	C₂×#121	#120	1	1	yes	characteristic
1441	C₂×#121	#120	1	2	yes	—
1442	C₂×#121	#120	1	2	yes	—
1443	C₂×#121	#120	1	2	yes	—
1444	C₂×#121	#120	1	2	yes	—
1445	C₂×#121	#120	1	2	yes	—
1446	C₂×#121	#120	1	2	yes	—
1447	C₂×#121	#120	1	2	yes	—
1448	C₂×#121	#120	1	2	yes	—
1449	C₂×#121	#120	1	2	yes	—
1450	C₂×#121	C₂²×D₄	1	2	yes	—
1451	C₂×#121	C₂²×D₄	1	2	yes	—
1452	C₂×#121	C₂²×D₄	1	2	yes	—
1453	C₂×#121	C₂²×D₄	1	2	yes	—
1454	C₂×#121	C₂²×D₄	1	1	yes	characteristic
1455	C₂×#121	C₂²×D₄	1	1	yes	characteristic
1456	C₂×#121	C₂²×D₄	1	1	yes	characteristic
1457	C₂×#121	C₂²×D₄	1	1	yes	characteristic
1458	C₂×#121	C₂²×D₄	1	2	yes	—
1459	C₂×#121	C₂²×D₄	1	2	yes	—
1460	C₂×#121	C₂²×D₄	1	2	yes	—
1461	C₂×#121	C₂²×D₄	1	2	yes	—
1462	C₂×#120	#120	1	2	yes	—
1463	C₂×#120	#120	1	2	yes	—
1464	C₂×#120	#120	1	2	yes	—
1465	C₂×#120	#120	1	2	yes	—
1466	C₂×#120	C₂²×D₄	1	2	yes	—
1467	C₂×#120	C₂²×D₄	1	2	yes	—
1468	C₂×#120	C₂²×D₄	1	2	yes	—
1469	C₂×#120	C₂²×D₄	1	2	yes	—
1470	C₂×#120	C₂²×D₄	1	2	yes	—
1471	C₂×#120	C₂²×D₄	1	2	yes	—
1472	C₂×#120	C₂²×D₄	1	1	yes	characteristic
1473	C₂×#120	C₂²×D₄	1	1	yes	characteristic
1474	C₂×#120	C₂²×D₄	1	1	yes	characteristic
1475	C₂×#120	C₂²×D₄	1	2	yes	—
1476	C₂×#120	C₂²×D₄	1	2	yes	—
1477	C₂×#120	C₂²×D₄	1	2	yes	—
1478	C₂×#120	C₂²×D₄	1	2	yes	—
1479	C₂×#120	C₂²×D₄	1	2	yes	—
1480	C₂×#120	C₂²×D₄	1	2	yes	—
1481	C₂×#120	C₂²×D₄	1	2	yes	—
1482	C₂×#120	C₂²×D₄	1	2	yes	—
1483	C₂×#120	C₂²×D₄	1	2	yes	—
1484	C₂×#120	C₂²×D₄	1	2	yes	—
1485	C₂×#120	C₂²×D₄	1	2	yes	—
1486	C₂×#120	C₂²×D₄	1	2	yes	—
1487	C₂×#120	C₂²×D₄	1	2	yes	—
1488	C₂×#120	C₂⁵	1	1	yes	characteristic
1489	C₂×#120	C₂⁵	1	2	yes	—
1490	C₂×#120	C₂⁵	1	1	yes	characteristic
1491	C₂×#120	C₂⁵	1	1	yes	characteristic
1492	#518	C₂⁵	1	2	yes	—
1493	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1494	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1495	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1496	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1497	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1498	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1499	C₂×C₄×D₄	#120	1	1	yes	characteristic
1500	C₂×C₄×D₄	#120	1	1	yes	characteristic
1501	C₂×C₄×D₄	#120	1	1	yes	characteristic
1502	C₂×C₄×D₄	#120	1	1	yes	characteristic
1503	C₂×C₄×D₄	#120	1	2	yes	—
1504	C₂×C₄×D₄	#120	1	2	yes	—
1505	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1506	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1507	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1508	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1509	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1510	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1511	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1512	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1513	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1514	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1515	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1516	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1517	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1518	C₂×#117	C₂²×D₄	1	2	yes	—
1519	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1520	C₂×#117	C₂²×D₄	1	2	yes	—
1521	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1522	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1523	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1524	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1525	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1526	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1527	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1528	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1529	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1530	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1531	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1532	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1533	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1534	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1535	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1536	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1537	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1538	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1539	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1540	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1541	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1542	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1543	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1544	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1545	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1546	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1547	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1548	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1549	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1550	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1551	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1552	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1553	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1554	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1555	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1556	#455	H(5,𝔽₂)	1	8	yes	—
1557	C₂×#100	C₂⁵	1	4	yes	—
1558	C₂×#100	C₂⁵	1	2	yes	—
1559	C₂×#100	C₂⁵	1	2	yes	—
1560	C₂×#99	C₂⁵	1	2	yes	—
1561	C₂×#99	C₂⁵	1	2	yes	—
1562	C₂×#99	C₂⁵	1	4	yes	—
1563	C₂×#99	C₂⁵	1	2	yes	—
1564	C₂×#99	C₂⁵	1	4	yes	—
1565	C₂×#99	C₂⁵	1	2	yes	—
1566	#391	C₂²×D₄	1	1	yes	characteristic
1567	#391	C₂²×D₄	1	1	yes	characteristic
1568	#391	C₂²×D₄	1	1	yes	characteristic
1569	#391	C₂²×D₄	1	1	yes	characteristic
1570	#391	C₂²×D₄	1	1	yes	characteristic
1571	#391	C₂²×D₄	1	1	yes	characteristic
1572	#391	C₂²×D₄	1	2	yes	—
1573	#391	C₂²×D₄	1	2	yes	—
1574	#390	C₂²×D₄	1	2	yes	—
1575	#390	C₂²×D₄	1	2	yes	—
1576	#390	C₂²×D₄	1	2	yes	—
1577	#390	C₂²×D₄	1	2	yes	—
1578	#390	C₂²×D₄	1	2	yes	—
1579	#390	C₂²×D₄	1	2	yes	—
1580	#390	C₂⁵	1	1	yes	characteristic
1581	#390	C₂⁵	1	1	yes	characteristic
1582	#386	C₂²×D₄	1	1	yes	characteristic
1583	#386	C₂²×D₄	1	2	yes	—
1584	#386	C₂²×D₄	1	1	yes	characteristic
1585	#386	C₂²×D₄	1	2	yes	—
1586	#386	C₂²×D₄	1	2	yes	—
1587	#386	C₂²×D₄	1	2	yes	—
1588	#386	C₂²×D₄	1	2	yes	—
1589	#386	C₂²×D₄	1	1	yes	characteristic
1590	#386	C₂²×D₄	1	2	yes	—
1591	#386	C₂²×D₄	1	2	yes	—
1592	#386	C₂²×D₄	1	2	yes	—
1593	#386	C₂²×D₄	1	2	yes	—
1594	#386	C₂²×D₄	1	2	yes	—
1595	#386	C₂²×D₄	1	2	yes	—
1596	#386	C₂²×D₄	1	2	yes	—
1597	#386	C₂²×D₄	1	2	yes	—
1598	#386	C₂²×D₄	1	2	yes	—
1599	#386	C₂²×D₄	1	1	yes	characteristic
1600	#386	C₂²×D₄	1	2	yes	—
1601	#386	C₂²×D₄	1	2	yes	—
1602	#386	C₂²×D₄	1	2	yes	—
1603	#386	C₂²×D₄	1	2	yes	—
1604	#386	C₂⁵	1	1	yes	characteristic
1605	#386	C₂⁵	1	2	yes	—
1606	#386	C₂⁵	1	1	yes	characteristic
1607	#386	C₂⁵	1	1	yes	characteristic
1608	#386	C₂⁵	1	2	yes	—
1609	#386	C₂⁵	1	1	yes	characteristic
1610	#385	C₂²×D₄	1	1	yes	characteristic
1611	#385	C₂²×D₄	1	2	yes	—
1612	#385	C₂²×D₄	1	2	yes	—
1613	#385	C₂²×D₄	1	2	yes	—
1614	#385	C₂²×D₄	1	1	yes	characteristic
1615	#385	C₂²×D₄	1	1	yes	characteristic
1616	#385	C₂²×D₄	1	1	yes	characteristic
1617	#385	C₂²×D₄	1	1	yes	characteristic
1618	#385	C₂²×D₄	1	1	yes	characteristic
1619	#385	C₂²×D₄	1	1	yes	characteristic
1620	#385	C₂²×D₄	1	1	yes	characteristic
1621	#385	C₂²×D₄	1	2	yes	—
1622	#384	C₂²×D₄	1	1	yes	characteristic
1623	#384	C₂²×D₄	1	1	yes	characteristic
1624	#382	C₂²×D₄	1	1	yes	characteristic
1625	#382	C₂²×D₄	1	1	yes	characteristic
1626	#381	C₂²×D₄	1	1	yes	characteristic
1627	#381	C₂²×D₄	1	2	yes	—
1628	#381	C₂²×D₄	1	1	yes	characteristic
1629	#381	C₂²×D₄	1	2	yes	—
1630	#381	C₂²×D₄	1	1	yes	characteristic
1631	#381	C₂²×D₄	1	1	yes	characteristic
1632	#381	C₂²×D₄	1	2	yes	—
1633	#381	C₂²×D₄	1	1	yes	characteristic
1634	#381	C₂²×D₄	1	2	yes	—
1635	#381	C₂²×D₄	1	1	yes	characteristic
1636	#380	C₂²×D₄	1	1	yes	characteristic
1637	#380	C₂²×D₄	1	1	yes	characteristic
1638	#380	C₂²×D₄	1	1	yes	characteristic
1639	#380	C₂²×D₄	1	1	yes	characteristic
1640	#380	C₂²×D₄	1	1	yes	characteristic
1641	#380	C₂²×D₄	1	1	yes	characteristic
1642	#380	C₂²×D₄	1	1	yes	characteristic
1643	#380	C₂²×D₄	1	1	yes	characteristic
1644	#379	C₂²×D₄	1	2	yes	—
1645	#379	C₂²×D₄	1	2	yes	—
1646	#379	C₂²×D₄	1	2	yes	—
1647	#379	C₂²×D₄	1	2	yes	—
1648	#379	C₂²×D₄	1	2	yes	—
1649	#379	C₂²×D₄	1	2	yes	—
1650	#379	C₂²×D₄	1	2	yes	—
1651	#379	C₂²×D₄	1	2	yes	—
1652	#379	C₂²×D₄	1	2	yes	—
1653	#379	C₂²×D₄	1	1	yes	characteristic
1654	#379	C₂²×D₄	1	1	yes	characteristic
1655	#379	C₂²×D₄	1	2	yes	—
1656	#379	C₂²×D₄	1	1	yes	characteristic
1657	#379	C₂²×D₄	1	1	yes	characteristic
1658	#379	C₂²×D₄	1	1	yes	characteristic
1659	#379	C₂²×D₄	1	1	yes	characteristic
1660	C₄×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1661	C₄×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1662	C₄×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1663	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1664	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1665	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1666	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1667	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1668	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1669	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1670	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1671	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1672	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1673	#376	C₂²×D₄	1	1	yes	characteristic
1674	#376	C₂²×D₄	1	1	yes	characteristic
1675	C₄³	C₂²×D₄	1	1	yes	characteristic
1676	C₄³	C₂²×D₄	1	1	yes	characteristic
1677	C₂⁵	C₂×#120	1	2	yes	—
1678	C₂⁵	C₂×#120	1	2	yes	—
1679	C₂⁵	C₂³×D₄	1	2	yes	—
1680	C₂⁵	C₂³×D₄	1	2	yes	—
1681	C₂⁵	C₂³×D₄	1	2	yes	—
1682	C₂⁵	C₂³×D₄	1	2	yes	—
1683	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1684	C₂⁵	C₂³×D₄	1	2	yes	—
1685	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1686	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1687	H(5,𝔽₂)	C₂×H(5,𝔽₂)	1	4	yes	—
1688	C₂²×Q₈	C₂×#120	1	2	yes	—
1689	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1690	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1691	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1692	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1693	C₂²×D₄	C₂×#120	1	2	yes	—
1694	C₂²×D₄	C₂×#120	1	2	yes	—
1695	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1696	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1697	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1698	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1699	C₂²×D₄	C₂×#120	1	2	yes	—
1700	C₂²×D₄	C₂×#120	1	2	yes	—
1701	C₂²×D₄	C₂×#120	1	2	yes	—
1702	C₂²×D₄	C₂×#120	1	2	yes	—
1703	C₂²×D₄	C₂×#120	1	2	yes	—
1704	C₂²×D₄	C₂×#120	1	2	yes	—
1705	C₂²×D₄	C₂×#120	1	2	yes	—
1706	C₂²×D₄	C₂×#120	1	2	yes	—
1707	C₂²×D₄	C₂×#120	1	2	yes	—
1708	C₂²×D₄	C₂×#120	1	2	yes	—
1709	C₂²×D₄	C₂×#120	1	2	yes	—
1710	C₂²×D₄	C₂×#120	1	2	yes	—
1711	C₂²×D₄	C₂×#120	1	2	yes	—
1712	C₂²×D₄	C₂×#120	1	2	yes	—
1713	C₂²×D₄	C₂×#120	1	2	yes	—
1714	C₂²×D₄	C₂×#120	1	2	yes	—
1715	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1716	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1717	C₂²×D₄	C₂×#120	1	2	yes	—
1718	C₂²×D₄	C₂×#120	1	2	yes	—
1719	C₂²×D₄	C₂×#120	1	2	yes	—
1720	C₂²×D₄	C₂×#120	1	2	yes	—
1721	C₂²×D₄	C₂×#120	1	2	yes	—
1722	C₂²×D₄	C₂×#120	1	2	yes	—
1723	C₂²×D₄	C₂³×D₄	1	2	yes	—
1724	C₂²×D₄	C₂³×D₄	1	2	yes	—
1725	C₂²×D₄	C₂³×D₄	1	2	yes	—
1726	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1727	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1728	C₂²×D₄	C₂³×D₄	1	2	yes	—
1729	C₂²×D₄	C₂³×D₄	1	2	yes	—
1730	C₂²×D₄	C₂³×D₄	1	2	yes	—
1731	C₂²×D₄	C₂³×D₄	1	2	yes	—
1732	C₂²×D₄	C₂⁶	1	1	yes	characteristic
1733	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1734	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1735	C₂³×C₄	C₂×#120	1	2	yes	—
1736	C₂³×C₄	C₂×#120	1	2	yes	—
1737	C₂³×C₄	C₂×#120	1	2	yes	—
1738	C₂³×C₄	C₂×#120	1	2	yes	—
1739	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1740	C₂³×C₄	C₂³×D₄	1	2	yes	—
1741	C₂³×C₄	C₂³×D₄	1	2	yes	—
1742	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1743	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1744	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1745	C₂³×C₄	C₂³×D₄	1	2	yes	—
1746	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1747	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1748	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1749	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1750	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1751	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1752	C₂³×C₄	C₂³×D₄	1	2	yes	—
1753	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1754	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1755	C₂³×C₄	C₂³×D₄	1	2	yes	—
1756	#127	B(4,𝔽₂)	1	2	yes	—
1757	#127	B(4,𝔽₂)	1	2	yes	—
1758	#127	B(4,𝔽₂)	1	2	yes	—
1759	#127	B(4,𝔽₂)	1	2	yes	—
1760	#124	C₂×H(5,𝔽₂)	1	4	yes	—
1761	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1762	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1763	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1764	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1765	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1766	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1767	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1768	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1769	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1770	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1771	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1772	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1773	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1774	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1775	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1776	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1777	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1778	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1779	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1780	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1781	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1782	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1783	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1784	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1785	C₂×C₂²⋊C₄	C₂×#120	1	2	yes	—
1786	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1787	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1788	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1789	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1790	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1791	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1792	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1793	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1794	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1795	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1796	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1797	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1798	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1799	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1800	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1801	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1802	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1803	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1804	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1805	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1806	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1807	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1808	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1809	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1810	C₂×C₄²	C₂³×D₄	1	2	yes	—
1811	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1812	C₂×C₄²	C₂³×D₄	1	2	yes	—
1813	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1814	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1815	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1816	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1817	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1818	#100	C₂×H(5,𝔽₂)	1	4	yes	—
1819	C₂⁴	C₂²×#120	1	2	yes	—
1820	C₂⁴	C₂²×#120	1	2	yes	—
1821	C₂⁴	C₂²×#120	1	2	yes	—
1822	C₂⁴	C₂²×#120	1	2	yes	—
1823	C₂⁴	C₂²×#120	1	2	yes	—
1824	C₂⁴	C₂²×#120	1	2	yes	—
1825	C₂⁴	C₂²×#120	1	1	yes	characteristic
1826	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1827	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1828	C₂×Q₈	#3484	1	2	yes	—
1829	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1830	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1831	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1832	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1833	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1834	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1835	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1836	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1837	C₂×D₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1838	C₂×D₄	H(7,𝔽₂)	1	2	yes	—
1839	C₂²×C₄	C₂²×#120	1	2	yes	—
1840	C₂²×C₄	C₂²×#120	1	2	yes	—
1841	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1842	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1843	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1844	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1845	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1846	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1847	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1848	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1849	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1850	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1851	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1852	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1853	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1854	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1855	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1856	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1857	C₄²	#3484	1	2	yes	—
1858	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1859	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1860	C₂³	#60399	1	2	yes	—
1861	C₂³	C₂³×#120	1	1	yes	characteristic
1862	C₂³	D₄×H(5,𝔽₂)	1	2	yes	—
1863	C₂³	D₄×H(5,𝔽₂)	1	2	yes	—
1864	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1865	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1866	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1867	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1868	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1869	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1870	C₂×C₄	C₂×#3484	1	1	yes	characteristic
1871	C₂×C₄	#62842	1	1	yes	characteristic
1872	C₂²	#7631286	1	1	yes	characteristic
1873	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1874	C₂²	C₂×#60399	1	1	yes	characteristic
1875	C₄	#7622881	1	2	yes	—
1876	C₂	#72216616	1	1	yes	characteristic
1877	C₂	#72234840	1	1	yes	characteristic
1878	C₂	C₂×#7622881	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂³×B(4,𝔽₂)
commutator, Frattini, cosocle	C₂²×D₄	C₂⁶
LCS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂×#127 ◁ C₂×#3498 ◁ G
LECS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #72311493	C₂	semidirect
2. #72311487	C₂	semidirect
3. #72311479	C₂	semidirect
4. D₄×#2197	C₂	semidirect
5. #72311468	C₂	semidirect
6. #72311460	C₂	semidirect
7. #72311454	C₂	semidirect
8. #72311444	C₂	semidirect
9. #72311441	C₂	semidirect
10. #72311438	C₂	semidirect
11. #72311431	C₂	semidirect
12. #72311426	C₂	semidirect
13. #72311419	C₂	semidirect
14. #72311373	C₂	semidirect
15. #72311356	C₂	semidirect
16. #72311346	C₂	semidirect
17. #72311265	C₂	semidirect
18. #72311241	C₂	semidirect
19. #72311234	C₂	semidirect
20. #72311202	C₂	semidirect
21. #72311186	C₂	semidirect
22. #72311183	C₂	semidirect
23. #72311181	C₂	semidirect
24. #72311177	C₂	semidirect
25. #72311161	C₂	semidirect
26. #72311148	C₂	semidirect
27. #72311129	C₂	semidirect
28. #72306415	C₂	semidirect
29. #72306393	C₂	semidirect
30. #72303091	C₂	semidirect
31. #72285798	C₂	semidirect
32. #72255678	C₂	semidirect
33. #72236711	C₂	semidirect
34. #72236702	C₂	semidirect
35. #72236574	C₂	semidirect
36. #10586097	C₂²	semidirect
37. C₂×#60389	C₂²	semidirect
38. #9716344	C₂²	semidirect
39. #8932923	C₂²	semidirect
40. #8904628	C₂²	semidirect
41. #8699281	C₂²	semidirect
42. #8698894	C₂²	semidirect
43. #8688878	C₂²	semidirect
44. #8505955	C₂²	semidirect
45. #8195661	C₂²	semidirect
46. #8075300	C₂²	semidirect
47. #8069243	C₂²	semidirect
48. #8062881	C₂²	semidirect
49. #7983575	C₂²	semidirect
50. #7978991	C₂²	semidirect
51. #7826509	C₂²	semidirect
52. #7782150	C₂²	semidirect
54. #7737041	C₂²	semidirect
56. #7707863	C₂²	semidirect
57. D₄×#551	C₂²	semidirect
58. #7696675	C₂²	semidirect
59. #7683204	C₂²	semidirect
61. C₂×#33551	C₂²	semidirect
62. C₂²×#2197	C₂²	semidirect
63. #6629394	C₂²	semidirect
65. #6629390	C₂²	semidirect
66. #6629388	C₂²	semidirect
67. #6628967	C₂²	semidirect
68. #6628900	C₂²	semidirect
69. #6628897	C₂²	semidirect
70. #6628896	C₂²	semidirect
71. #6628896	C₂²	semidirect
72. #6628876	C₂²	semidirect
73. #6591514	C₂²	semidirect
74. #6591514	C₂²	semidirect
75. #6591514	C₂²	semidirect
76. #6591514	C₂²	semidirect
77. #6591506	C₂²	semidirect
78. #6591503	C₂²	semidirect
79. #6573723	C₂²	semidirect
80. #6573719	C₂²	semidirect
81. D₄×#458	C₂²	semidirect
84. D₄×B(4,𝔽₂)	C₂²	semidirect
85. #6573693	C₂²	semidirect
86. #6573693	C₂²	semidirect
87. #6573679	C₂²	semidirect
88. #6573679	C₂²	semidirect
89. D₄×#455	C₂²	semidirect
90. D₄×#455	C₂²	semidirect
91. #6487654	C₂²	semidirect
93. #6487648	C₂²	semidirect
94. #6487647	C₂²	semidirect
95. #6470246	C₂²	semidirect
96. #6470235	C₂²	semidirect
97. #6470234	C₂²	semidirect
98. #6470234	C₂²	semidirect
99. #6443327	C₂²	semidirect
100. #6442564	C₂²	semidirect
101. #6437975	C₂²	semidirect
102. #6437453	C₂²	semidirect
103. #6385980	C₂²	semidirect
104. #6385980	C₂²	semidirect
105. #6379033	C₂²	semidirect
106. C₄×#3022	C₂²	semidirect
107. #512136	C₂²	semidirect
108. #512123	C₂²	semidirect
109. #511940	C₂²	semidirect
110. #511911	C₂²	semidirect
111. #511909	C₂²	semidirect
112. #511779	C₂²	semidirect
113. #511772	C₂²	semidirect
114. #508209	C₂²	semidirect
115. #508194	C₂²	semidirect
116. #508193	C₂²	semidirect
117. #508096	C₂²	semidirect
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119. #508092	C₂²	semidirect
120. #508087	C₂²	semidirect
121. #503589	C₂²	semidirect
122. #503585	C₂²	semidirect
123. #503236	C₂²	semidirect
124. #503204	C₂²	semidirect
125. #503196	C₂²	semidirect
126. #503193	C₂²	semidirect
127. #503187	C₂²	semidirect
128. #503184	C₂²	semidirect
129. #503183	C₂²	semidirect
130. #503182	C₂²	semidirect
131. #502837	C₂²	semidirect
132. #502829	C₂²	semidirect
133. #502824	C₂²	semidirect
134. #502798	C₂²	semidirect
135. #502794	C₂²	semidirect
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140. #502780	C₂²	semidirect
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143. #502727	C₂²	semidirect
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148. #502701	C₂²	semidirect
149. #501176	C₂²	semidirect
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165. #500965	C₂²	semidirect
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168. #500779	C₂²	semidirect
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170. #500768	C₂²	semidirect
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184. #500489	C₂²	semidirect
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186. #500384	C₂²	semidirect
187. #500382	C₂²	semidirect
188. #500192	C₂²	semidirect
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195. #500079	C₂²	semidirect
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200. #500057	C₂²	semidirect
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203. #500040	C₂²	semidirect
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210. #499852	C₂²	semidirect
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220. #499847	C₂²	semidirect
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225. #499844	C₂²	semidirect
226. #499840	C₂²	semidirect
227. #499840	C₂²	semidirect
228. #499838	C₂²	semidirect
229. #499836	C₂²	semidirect
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234. #499835	C₂²	semidirect
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236. #499832	C₂²	semidirect
237. #499807	C₂²	semidirect
238. #499804	C₂²	semidirect
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240. #499797	C₂²	semidirect
241. #499792	C₂²	semidirect
242. #499789	C₂²	semidirect
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244. #499787	C₂²	semidirect
245. #499298	C₂²	semidirect
246. #499283	C₂²	semidirect
247. #499282	C₂²	semidirect
248. #498928	C₂²	semidirect
249. #498927	C₂²	semidirect
250. #498924	C₂²	semidirect
251. C₂×#13348	C₂²	semidirect
252. #497514	C₂²	semidirect
253. #497484	C₂²	semidirect
254. #497484	C₂²	semidirect
255. #497484	C₂²	semidirect
256. #497484	C₂²	semidirect
257. #497480	C₂²	semidirect
258. #497363	C₂²	semidirect
259. #497363	C₂²	semidirect
260. #497355	C₂²	semidirect
261. #497307	C₂²	semidirect
262. #497307	C₂²	semidirect
263. D₄×#354	C₂²	semidirect
264. D₄×#354	C₂²	semidirect
265. #497293	C₂²	semidirect
266. D₄×#352	C₂²	semidirect
267. D₄×AΣL(1,𝔽₁₆)	C₂²	semidirect
268. D₄×AΣL(1,𝔽₁₆)	C₂²	semidirect
269. D₄×AΣL(1,𝔽₁₆)	C₂²	semidirect
270. #496514	C₂²	semidirect
271. #496508	C₂²	semidirect
272. #496508	C₂²	semidirect
273. #496507	C₂²	semidirect
274. #496309	C₂²	semidirect
275. #496309	C₂²	semidirect
276. #496246	C₂²	semidirect
277. #496241	C₂²	semidirect
278. #496240	C₂²	semidirect
279. #496240	C₂²	semidirect
280. #496200	C₂²	semidirect
281. #496200	C₂²	semidirect
282. #495773	C₂²	semidirect
283. C₄×#2199	C₂²	semidirect
284. C₄×#2197	C₂²	semidirect
285. #495582	C₂²	semidirect
286. #495580	C₂²	semidirect
287. #495580	C₂²	semidirect
288. #495577	C₂²	semidirect
289. #494685	C₂²	semidirect
290. #494682	C₂²	semidirect
291. #494682	C₂²	semidirect
292. #494681	C₂²	semidirect
293. #494600	C₂²	semidirect
294. #494597	C₂²	semidirect
295. #493974	C₂²	semidirect
296. #493967	C₂²	semidirect
297. #493433	C₂²	semidirect
298. #493433	C₂²	semidirect
307. C₂×#3497	D₄	semidirect
308. C₂×#3532	C₂³	semidirect
309. C₂²×#551	C₂³	semidirect
310. C₂²×D₄²	D₄	semidirect
311. C₂²×#540	D₄	semidirect
327. #60031	C₂³	semidirect
328. #59945	C₂³	semidirect
329. #59843	C₂³	semidirect
330. #59802	C₂³	semidirect
331. #59632	C₂³	semidirect
332. #59375	C₂³	semidirect
333. #59370	C₂³	semidirect
334. #59202	C₂³	semidirect
335. #59202	C₂³	semidirect
336. #59198	C₂³	semidirect
337. #59191	C₂³	semidirect
340. #59162	C₂³	semidirect
341. #59162	C₂³	semidirect
342. #59162	C₂³	semidirect
344. #59006	C₂³	semidirect
345. #59006	C₂³	semidirect
346. #58997	C₂³	semidirect
347. #58992	C₂³	semidirect
348. #58990	C₂³	semidirect
349. #52301	C₂³	semidirect
350. #52185	C₂³	semidirect
351. C₂×#2684	C₂³	semidirect
352. #52012	C₂³	semidirect
353. #52004	C₂³	semidirect
354. #51895	C₂³	semidirect
355. #51895	C₂³	semidirect
356. #51860	C₂³	semidirect
357. #51848	C₂³	semidirect
360. #51796	C₂³	semidirect
361. #51785	C₂³	semidirect
366. #51060	C₂³	semidirect
367. #50856	C₂³	semidirect
368. #49103	C₂³	semidirect
369. #48997	C₂³	semidirect
370. #48971	C₂³	semidirect
371. #48922	C₂³	semidirect
372. #48922	C₂³	semidirect
373. #48088	C₂³	semidirect
374. #48058	C₂³	semidirect
375. #47827	C₂³	semidirect
377. #46190	C₂³	semidirect
378. #46152	C₂³	semidirect
379. #45977	C₂³	semidirect
380. #45599	C₂³	semidirect
381. #45478	C₂³	semidirect
382. #45455	C₂³	semidirect
383. #45438	C₂³	semidirect
384. #39363	D₄	semidirect
385. #39363	D₄	semidirect
388. #39338	D₄	semidirect
390. #38904	D₄	semidirect
391. #38904	D₄	semidirect
392. #38904	D₄	semidirect
393. #38904	D₄	semidirect
398. #38022	D₄	semidirect
400. #37683	D₄	semidirect
401. #37683	D₄	semidirect
404. #37646	D₄	semidirect
406. #37539	D₄	semidirect
407. #37119	C₂³	semidirect
408. #36955	D₄	semidirect
409. #36955	C₂³	semidirect
410. #36929	C₂³	semidirect
411. #36704	D₄	semidirect
412. #36702	D₄	semidirect
413. #36702	D₄	semidirect
414. #36702	C₂³	semidirect
415. #36236	D₄	semidirect
417. #36128	D₄	semidirect
418. #36128	D₄	semidirect
421. D₄×#123	D₄	semidirect
423. D₄×#120	D₄	semidirect
424. D₄×#120	D₄	semidirect
425. D₄×#120	D₄	semidirect
429. #35676	D₄	semidirect
435. #35301	D₄	semidirect
436. #35274	D₄	semidirect
437. #35256	D₄	semidirect
438. #35237	D₄	semidirect
439. #35237	D₄	semidirect
444. C₂×#2548	D₄	semidirect
446. #34457	C₂³	semidirect
447. #34406	C₂³	semidirect
448. #34366	C₂³	semidirect
449. #34364	D₄	semidirect
450. #34364	D₄	semidirect
451. C₄×H(3,𝔽₄)	C₂³	semidirect
452. C₄×#551	C₂³	semidirect
453. #34141	D₄	semidirect
456. C₂×#2200	C₂³	semidirect
457. C₂×#2200	C₂³	semidirect
459. C₂×#2199	C₂³	semidirect
464. C₂×#2197	C₂³	semidirect
465. C₂×#2197	C₂³	semidirect
466. C₂×#2197	C₂³	semidirect
467. C₂×#2197	C₂³	semidirect
468. C₂×#2197	C₂³	semidirect
469. C₂×#2197	C₂³	semidirect
470. C₂×#2197	C₂³	semidirect
472. C₂×#2196	C₂³	semidirect
473. C₂×#2196	C₂³	semidirect
474. C₂×#2127	C₂³	semidirect
475. C₂×#2127	C₂³	semidirect
476. C₂²×#354	C₂³	semidirect
477. C₂²×#354	C₂³	semidirect
478. C₂×#2121	C₂³	semidirect
479. C₂²×#352	C₂³	semidirect
480. C₂²×AΣL(1,𝔽₁₆)	C₂³	semidirect
481. C₂²×AΣL(1,𝔽₁₆)	C₂³	semidirect
609. #13463	C₂³	semidirect
610. #13462	C₂³	semidirect
611. #13461	C₂³	semidirect
612. #13425	C₂³	semidirect
613. #13425	C₂³	semidirect
614. #13425	C₂³	semidirect
615. #13424	C₂³	semidirect
616. #13424	C₂³	semidirect
617. #13424	C₂³	semidirect
618. #13424	C₂³	semidirect
619. #13424	C₂³	semidirect
620. #13424	C₂³	semidirect
621. #13424	C₂³	semidirect
622. #13423	C₂³	semidirect
623. #13423	C₂³	semidirect
624. #13422	C₂³	semidirect
625. #13422	C₂³	semidirect
626. #13420	C₂³	semidirect
627. #13420	C₂³	semidirect
628. #13419	C₂³	semidirect
630. #13377	C₂³	semidirect
632. #13376	C₂³	semidirect
634. #13375	C₂³	semidirect
635. #13375	C₂³	semidirect
639. #13349	C₂³	semidirect
640. #13349	C₂³	semidirect
641. #13349	C₂³	semidirect
642. #13349	C₂³	semidirect
643. #13349	C₂³	semidirect
651. #13348	C₂³	semidirect
652. #13348	C₂³	semidirect
653. #13348	C₂³	semidirect
654. #13348	C₂³	semidirect
655. #13348	C₂³	semidirect
656. #13348	C₂³	semidirect
657. #13348	C₂³	semidirect
658. #13348	C₂³	semidirect
659. #13348	C₂³	semidirect
660. #13348	C₂³	semidirect
661. #13348	C₂³	semidirect
664. #13347	C₂³	semidirect
665. #13347	C₂³	semidirect
666. #13347	C₂³	semidirect
667. #13347	C₂³	semidirect
670. #13346	C₂³	semidirect
671. #13346	C₂³	semidirect
672. #13346	C₂³	semidirect
673. #13346	C₂³	semidirect
676. #13344	C₂³	semidirect
677. #13344	C₂³	semidirect
678. #13344	C₂³	semidirect
680. #13343	C₂³	semidirect
681. #13297	C₂³	semidirect
682. #13295	C₂³	semidirect
683. #13295	C₂³	semidirect
684. #13295	C₂³	semidirect
685. #13294	C₂³	semidirect
686. #13292	C₂³	semidirect
687. #13292	C₂³	semidirect
688. #13292	C₂³	semidirect
689. #13225	C₂³	semidirect
690. #13225	C₂³	semidirect
691. #13224	C₂³	semidirect
692. #13224	C₂³	semidirect
693. #13223	C₂³	semidirect
694. #13223	C₂³	semidirect
695. #13222	C₂³	semidirect
696. #13221	C₂³	semidirect
697. #13221	C₂³	semidirect
698. #13220	C₂³	semidirect
699. #13219	C₂³	semidirect
700. #13218	C₂³	semidirect
701. #13218	C₂³	semidirect
702. #13217	C₂³	semidirect
703. #13090	C₂³	semidirect
704. #13090	C₂³	semidirect
705. #13090	C₂³	semidirect
706. #13090	C₂³	semidirect
707. #13088	C₂³	semidirect
708. #13088	C₂³	semidirect
709. #13088	C₂³	semidirect
710. #13088	C₂³	semidirect
711. #13086	C₂³	semidirect
712. #13086	C₂³	semidirect
713. #13086	C₂³	semidirect
714. #13086	C₂³	semidirect
715. #13086	C₂³	semidirect
716. #13084	C₂³	semidirect
717. #13084	C₂³	semidirect
718. #13084	C₂³	semidirect
732. #13082	C₂³	semidirect
733. #13082	C₂³	semidirect
734. #13082	C₂³	semidirect
735. #13082	C₂³	semidirect
736. #13082	C₂³	semidirect
744. #13080	C₂³	semidirect
745. #13080	C₂³	semidirect
746. #13080	C₂³	semidirect
749. #13050	C₂³	semidirect
750. #13050	C₂³	semidirect
751. #13050	C₂³	semidirect
753. #13049	C₂³	semidirect
754. #13049	C₂³	semidirect
758. #13048	C₂³	semidirect
759. #13048	C₂³	semidirect
760. #13048	C₂³	semidirect
761. #13048	C₂³	semidirect
762. #13048	C₂³	semidirect
764. #13047	C₂³	semidirect
765. #13047	C₂³	semidirect
767. #13044	C₂³	semidirect
768. #13044	C₂³	semidirect
771. #13043	C₂³	semidirect
772. #13043	C₂³	semidirect
774. #13042	C₂³	semidirect
777. #13041	C₂³	semidirect
778. #13041	C₂³	semidirect
779. #13041	C₂³	semidirect
780. #12967	C₂³	semidirect
781. #12967	C₂³	semidirect
782. #12966	C₂³	semidirect
783. #12965	C₂³	semidirect
784. #12965	C₂³	semidirect
785. #12965	C₂³	semidirect
786. #12964	C₂³	semidirect
787. #12961	C₂³	semidirect
788. #12960	C₂³	semidirect
789. #12960	C₂³	semidirect
790. #12959	C₂³	semidirect
791. #12958	C₂³	semidirect
792. #12958	C₂³	semidirect
796. #12854	C₂³	semidirect
797. #12854	C₂³	semidirect
798. #12854	C₂³	semidirect
799. #12852	C₂³	semidirect
800. #12800	C₂³	semidirect
801. #12800	C₂³	semidirect
802. #12798	C₂³	semidirect
803. #12798	C₂³	semidirect
804. #12796	C₂³	semidirect
805. #12794	C₂³	semidirect
806. #12793	C₂³	semidirect
807. #12793	C₂³	semidirect
808. #12793	C₂³	semidirect
809. #12793	C₂³	semidirect
810. #12763	C₂³	semidirect
811. #12762	C₂³	semidirect
812. #12761	C₂³	semidirect
813. #12761	C₂³	semidirect
814. #12761	C₂³	semidirect
815. #12761	C₂³	semidirect
816. #12759	C₂³	semidirect
820. #12696	C₂³	semidirect
821. #12696	C₂³	semidirect
826. #12694	C₂³	semidirect
827. #12694	C₂³	semidirect
828. #12690	C₂³	semidirect
829. #12688	C₂³	semidirect
830. #12687	C₂³	semidirect
831. #12687	C₂³	semidirect
832. #12627	C₂³	semidirect
833. #12627	C₂³	semidirect
834. C₄×#354	C₂³	semidirect
835. C₄×#354	C₂³	semidirect
836. #12621	C₂³	semidirect
837. C₄×#352	C₂³	semidirect
838. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
839. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
840. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
841. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
842. #12574	C₂³	semidirect
843. #12574	C₂³	semidirect
844. #12574	C₂³	semidirect
845. C₂×#1390	C₂³	semidirect
848. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
868. C₂×#550	C₂×D₄	semidirect
869. C₂×#550	C₂×D₄	semidirect
870. C₂×D₄×Q₈	C₂×D₄	semidirect
871. C₂×D₄×Q₈	C₂×D₄	semidirect
872. C₂×#548	C₂×D₄	semidirect
873. C₂×#548	C₂×D₄	semidirect
884. C₂×#537	C₂×D₄	semidirect
885. C₂×#536	C₂×D₄	semidirect
886. C₂×#536	C₂×D₄	semidirect
891. C₂×#535	C₂×D₄	semidirect
892. C₂×#535	C₂×D₄	semidirect
895. C₂×#534	C₂×D₄	semidirect
900. C₂×#532	C₂×D₄	semidirect
901. C₂×#532	C₂×D₄	semidirect
902. C₂×#532	C₂×D₄	semidirect
907. C₂²×#125	C₂×D₄	semidirect
908. C₂²×#124	C₂×D₄	semidirect
911. C₂²×#123	C₂×D₄	semidirect
912. C₂²×#123	C₂×D₄	semidirect
913. C₂²×#123	C₂×D₄	semidirect
918. C₂²×#121	C₂×D₄	semidirect
919. C₂²×#121	C₂×D₄	semidirect
920. C₂²×#121	C₂×D₄	semidirect
921. C₂²×#121	C₂×D₄	semidirect
931. C₂×C₄×#41	C₂×D₄	semidirect
933. C₂²×C₄×Q₈	C₂×D₄	semidirect
936. C₂²×C₄×D₄	C₂×D₄	semidirect
937. C₂²×C₄×D₄	C₂×D₄	semidirect
938. C₂²×#117	C₂×D₄	semidirect
972. #2867	C₂×D₄	semidirect
973. #2867	C₂×D₄	semidirect
974. #2858	C₂×D₄	semidirect
975. #2858	C₂×D₄	semidirect
976. #2856	C₂×D₄	semidirect
977. #2856	C₂×D₄	semidirect
978. #2854	C₂×D₄	semidirect
979. #2854	C₂×D₄	semidirect
980. #2850	C₂×D₄	semidirect
981. #2850	C₂×D₄	semidirect
982. #2849	C₂×D₄	semidirect
983. #2849	C₂×D₄	semidirect
984. #2849	C₂×D₄	semidirect
985. #2849	C₂×D₄	semidirect
992. #2847	C₂×D₄	semidirect
993. #2847	C₂×D₄	semidirect
1018. #2657	C₂×D₄	semidirect
1019. #2657	C₂×D₄	semidirect
1024. #2622	C₂×D₄	semidirect
1025. #2622	C₂×D₄	semidirect
1026. #2620	C₂×D₄	semidirect
1027. #2620	C₂×D₄	semidirect
1028. #2619	C₂×D₄	semidirect
1029. #2619	C₂×D₄	semidirect
1030. #2618	C₂×D₄	semidirect
1031. #2618	C₂×D₄	semidirect
1032. #2613	C₂×D₄	semidirect
1033. #2613	C₂×D₄	semidirect
1034. #2591	C₂×D₄	semidirect
1035. #2579	C₂×D₄	semidirect
1037. #2548	C₂×D₄	semidirect
1038. #2548	C₂×D₄	semidirect
1039. #2548	C₂×D₄	semidirect
1040. #2548	C₂×D₄	semidirect
1041. #2548	C₂×D₄	semidirect
1042. #2548	C₂×D₄	semidirect
1043. #2548	C₂×D₄	semidirect
1045. #2546	C₂×D₄	semidirect
1046. #2545	C₂×D₄	semidirect
1049. #2539	C₂×D₄	semidirect
1050. #2534	C₂×D₄	semidirect
1055. #2504	C₂×D₄	semidirect
1056. #2504	C₂×D₄	semidirect
1057. #2501	C₂×D₄	semidirect
1058. #2501	C₂×D₄	semidirect
1061. #2487	C₂×D₄	semidirect
1065. #2486	C₂×D₄	semidirect
1067. #2484	C₂×D₄	semidirect
1068. #2484	C₂×D₄	semidirect
1072. #2482	C₂×D₄	semidirect
1073. #2436	C₂×D₄	semidirect
1074. #2436	C₂×D₄	semidirect
1075. #2436	C₂×D₄	semidirect
1076. #2436	C₂×D₄	semidirect
1084. #2432	C₂×D₄	semidirect
1085. #2432	C₂×D₄	semidirect
1086. #2431	C₂×D₄	semidirect
1087. #2431	C₂×D₄	semidirect
1088. #2431	C₂×D₄	semidirect
1089. #2431	C₂×D₄	semidirect
1090. #2431	C₂×D₄	semidirect
1091. #2431	C₂×D₄	semidirect
1092. #2412	C₂×D₄	semidirect
1093. #2412	C₂×D₄	semidirect
1094. #2412	C₂×D₄	semidirect
1095. #2412	C₂×D₄	semidirect
1096. #2412	C₂×D₄	semidirect
1097. #2412	C₂×D₄	semidirect
1106. #2410	C₂×D₄	semidirect
1107. #2410	C₂×D₄	semidirect
1112. #2406	C₂×D₄	semidirect
1113. #2406	C₂×D₄	semidirect
1114. #2406	C₂×D₄	semidirect
1117. #2405	C₂×D₄	semidirect
1118. #2405	C₂×D₄	semidirect
1119. #2405	C₂×D₄	semidirect
1127. #2404	C₂×D₄	semidirect
1136. #2403	C₂×D₄	semidirect
1161. D₄×C₂²⋊C₄	C₂×D₄	semidirect
1162. D₄×C₂²⋊C₄	C₂×D₄	semidirect
1163. D₄×C₂²⋊C₄	C₂×D₄	semidirect
1164. D₄×C₂²⋊C₄	C₂×D₄	semidirect
1165. D₄×C₂²⋊C₄	C₂×D₄	semidirect
1166. D₄×C₂²⋊C₄	C₂×D₄	semidirect
1167. #2327	C₂×D₄	semidirect
1168. #2327	C₂×D₄	semidirect
1171. #2322	C₂×D₄	semidirect
1173. #2317	C₂×D₄	semidirect
1175. #2310	C₂×D₄	semidirect
1180. #2308	C₂×D₄	semidirect
1181. #2308	C₂×D₄	semidirect
1182. #2308	C₂×D₄	semidirect
1186. C₄×C₄⋊Q₈	C₂×D₄	semidirect
1187. C₄×C₄⋊Q₈	C₂×D₄	semidirect
1190. C₄×#123	C₂×D₄	semidirect
1195. C₄×#120	C₂×D₄	semidirect
1200. #2297	C₂×D₄	semidirect
1201. #2297	C₂×D₄	semidirect
1202. #2293	C₂×D₄	semidirect
1203. #2293	C₂×D₄	semidirect
1204. C₂×#390	C₂×D₄	semidirect
1205. #2290	C₂×D₄	semidirect
1206. #2290	C₂×D₄	semidirect
1207. C₂×#386	C₂×D₄	semidirect
1211. #2283	C₂×D₄	semidirect
1212. #2283	C₂×D₄	semidirect
1213. C₄²×D₄	C₂×D₄	semidirect
1214. C₄²×D₄	C₂×D₄	semidirect
1215. C₄×#117	C₂×D₄	semidirect
1216. C₂×C₄×C₄⋊C₄	C₂×D₄	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#72311493	2
#72311487	2
#72311479	2
D₄×#2197	2
#72311468	2
#72311460	2
#72311454	2
#72311444	2
#72311441	2
#72311438	2
#72311431	2
#72311426	2
#72311419	2
#72311373	2
#72311356	2
#72311346	2
#72311265	2
#72311241	2
#72311234	2
#72311202	2
#72311186	2
#72311183	2
#72311181	2
#72311177	2
#72311161	2
#72311148	2
#72311129	2
#72306415	2
#72306393	2
#72303091	2
#72285798	2
#72255678	2
#72236711	2
#72236702	2
#72236574	2