Subgroups — #72319918

Order 2048.

At least 14987 conjugacy classes of subgroups; only the 4020 normal subgroups are shown.

The subgroup lattice has 1541 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72319852	C₂	1	1	yes	maximal, characteristic, complemented
2	#72319820	C₂	1	1	yes	maximal, characteristic, complemented
3	#72319786	C₂	1	1	yes	maximal, characteristic, complemented
4	#72319681	C₂	1	1	yes	maximal, characteristic, complemented
5	#72319362	C₂	1	1	yes	maximal, characteristic, complemented
6	#72319192	C₂	1	1	yes	maximal, characteristic, complemented
7	#72319179	C₂	1	1	yes	maximal, characteristic, complemented
8	#72318954	C₂	1	1	yes	maximal, characteristic, complemented
9	#72318798	C₂	1	1	yes	maximal, characteristic, complemented
10	#72318579	C₂	1	4	yes	maximal, complemented
11	#72318565	C₂	1	4	yes	maximal, complemented
12	#72318283	C₂	1	1	yes	maximal, characteristic, complemented
13	#72318155	C₂	1	2	yes	maximal, complemented
14	#72318134	C₂	1	2	yes	maximal, complemented
15	#72318088	C₂	1	4	yes	maximal, complemented
16	#72318079	C₂	1	4	yes	maximal, complemented
17	#72318060	C₂	1	2	yes	maximal, complemented
18	#72317718	C₂	1	1	yes	maximal, characteristic, complemented
19	#72317670	C₂	1	1	yes	maximal, characteristic, complemented
20	#72317502	C₂	1	2	yes	maximal, complemented
21	#72317500	C₂	1	4	yes	maximal, complemented
22	#72317492	C₂	1	2	yes	maximal, complemented
23	#72317485	C₂	1	4	yes	maximal, complemented
24	#72317448	C₂	1	4	yes	maximal, complemented
25	#72312151	C₂	1	1	yes	maximal, characteristic, complemented
26	#72312038	C₂	1	1	yes	maximal, characteristic, complemented
27	#72311460	C₂	1	1	yes	maximal, characteristic, complemented
28	#72311373	C₂	1	2	yes	maximal, complemented
29	#72311356	C₂	1	2	yes	maximal, complemented
30	#72303233	C₂	1	4	yes	maximal, complemented
31	#72236574	C₂	1	2	yes	maximal, complemented
32	#10586617	C₂²	1	1	yes	characteristic, complemented
33	#9715472	C₂²	1	4	yes	complemented
34	#8699281	C₂²	1	2	yes	complemented
35	#8698894	C₂²	1	2	yes	complemented
36	#8695337	C₂²	1	4	yes	complemented
37	#8496902	C₂²	1	2	yes	complemented
38	#7842457	C₂²	1	2	yes	complemented
39	#7784317	C₂²	1	1	yes	characteristic, complemented
40	#7782133	C₂²	1	1	yes	characteristic, complemented
41	#7739265	C₂²	1	2	yes	complemented
42	#7737955	C₂²	1	2	yes	complemented
43	#7696675	C₂²	1	2	yes	complemented
44	#7680261	C₂²	1	1	yes	characteristic
45	#7677118	C₂²	1	1	yes	characteristic
46	#7671592	C₂²	1	1	yes	characteristic
47	#7665869	C₂²	1	1	yes	characteristic, complemented
48	#7660929	C₂²	1	2	yes	complemented
49	#7634841	C₂²	1	1	yes	characteristic, complemented
50	#6596199	C₂²	1	2	yes	complemented
51	#6596198	C₂²	1	2	yes	complemented
52	#6596185	C₂²	1	2	yes	complemented
53	#6596184	C₂²	1	2	yes	complemented
54	#6595786	C₂²	1	2	yes	complemented
55	#6595778	C₂²	1	4	yes	complemented
56	#6595772	C₂²	1	2	yes	—
57	#6595646	C₂²	1	2	yes	complemented
58	#6595632	C₂²	1	4	yes	complemented
59	#6595618	C₂²	1	2	yes	complemented
60	#6591517	C₂²	1	2	yes	complemented
61	#6591514	C₂²	1	2	yes	complemented
62	#6591503	C₂²	1	2	yes	complemented
63	#6591500	C₂²	1	2	yes	complemented
64	#6573723	C₂²	1	2	yes	complemented
65	#6573715	C₂²	1	4	yes	complemented
66	D₄×B(4,𝔽₂)	C₂²	1	2	yes	—
67	#6573693	C₂²	1	2	yes	complemented
68	#6573679	C₂²	1	4	yes	complemented
69	D₄×#455	C₂²	1	2	yes	complemented
70	#6496270	C₂²	1	1	yes	characteristic, complemented
71	#6496269	C₂²	1	1	yes	characteristic, complemented
72	#6491104	C₂²	1	1	yes	characteristic
73	#6491102	C₂²	1	1	yes	characteristic
74	#6490940	C₂²	1	1	yes	characteristic, complemented
75	#6490936	C₂²	1	1	yes	characteristic, complemented
76	#6470233	C₂²	1	4	yes	complemented
77	#6470233	C₂²	1	4	yes	complemented
78	#6470048	C₂²	1	4	yes	complemented
79	#6454051	C₂²	1	1	yes	characteristic, complemented
80	#6454045	C₂²	1	1	yes	characteristic, complemented
81	#6454043	C₂²	1	1	yes	characteristic, complemented
82	#6454043	C₂²	1	1	yes	characteristic, complemented
83	#6453849	C₂²	1	1	yes	characteristic, complemented
84	#6453837	C₂²	1	1	yes	characteristic, complemented
85	#6440464	C₂²	1	4	yes	complemented
86	#6437632	C₂²	1	4	yes	complemented
87	#6437457	C₂²	1	4	yes	complemented
88	#6385998	C₂²	1	1	yes	characteristic, complemented
89	#6385980	C₂²	1	1	yes	characteristic, complemented
90	#6385980	C₂²	1	1	yes	characteristic, complemented
91	#512153	C₂²	1	4	yes	complemented
92	#512153	C₂²	1	4	yes	complemented
93	#512125	C₂²	1	4	yes	complemented
94	#512125	C₂²	1	4	yes	complemented
95	#511774	C₂²	1	4	yes	complemented
96	#511774	C₂²	1	4	yes	complemented
97	#508263	C₂²	1	2	yes	complemented
98	#508260	C₂²	1	2	yes	complemented
99	#508250	C₂²	1	2	yes	complemented
100	#508249	C₂²	1	2	yes	complemented
101	#508207	C₂²	1	2	yes	complemented
102	#508204	C₂²	1	2	yes	complemented
103	#508194	C₂²	1	2	yes	complemented
104	#508193	C₂²	1	2	yes	complemented
105	#508142	C₂²	1	2	yes	complemented
106	#508142	C₂²	1	2	yes	complemented
107	#508101	C₂²	1	2	yes	complemented
108	#508101	C₂²	1	2	yes	complemented
109	#508099	C₂²	1	4	yes	complemented
110	#508099	C₂²	1	4	yes	complemented
111	#508098	C₂²	1	4	yes	complemented
112	#508098	C₂²	1	4	yes	complemented
113	#508098	C₂²	1	2	yes	complemented
114	#508098	C₂²	1	2	yes	complemented
115	#508095	C₂²	1	4	yes	complemented
116	#508095	C₂²	1	4	yes	complemented
117	#508093	C₂²	1	4	yes	complemented
118	#508093	C₂²	1	4	yes	complemented
119	#508092	C₂²	1	4	yes	complemented
120	#508092	C₂²	1	4	yes	complemented
121	#508090	C₂²	1	4	yes	complemented
122	#508090	C₂²	1	4	yes	complemented
123	#508087	C₂²	1	4	yes	complemented
124	#508087	C₂²	1	4	yes	complemented
125	#508068	C₂²	1	2	yes	complemented
126	#508068	C₂²	1	2	yes	complemented
127	#503449	C₂²	1	2	yes	complemented
128	#503448	C₂²	1	2	yes	complemented
129	#503447	C₂²	1	1	yes	characteristic, complemented
130	#503446	C₂²	1	1	yes	characteristic, complemented
131	#503445	C₂²	1	1	yes	characteristic, complemented
132	#503444	C₂²	1	1	yes	characteristic, complemented
133	#503187	C₂²	1	2	yes	complemented
134	#503186	C₂²	1	2	yes	complemented
135	#503185	C₂²	1	1	yes	characteristic, complemented
136	#503184	C₂²	1	1	yes	characteristic, complemented
137	#503183	C₂²	1	1	yes	characteristic, complemented
138	#503182	C₂²	1	1	yes	characteristic, complemented
139	#503012	C₂²	1	4	yes	complemented
140	#503002	C₂²	1	4	yes	complemented
141	#502976	C₂²	1	2	yes	complemented
142	#502969	C₂²	1	2	yes	complemented
143	#502962	C₂²	1	2	yes	complemented
144	#502955	C₂²	1	2	yes	complemented
145	#502835	C₂²	1	4	yes	complemented
146	#502825	C₂²	1	4	yes	complemented
147	#502798	C₂²	1	2	yes	complemented
148	#502791	C₂²	1	2	yes	complemented
149	#502789	C₂²	1	2	yes	complemented
150	#502780	C₂²	1	2	yes	complemented
151	#502729	C₂²	1	4	yes	complemented
152	#502729	C₂²	1	4	yes	complemented
153	#502723	C₂²	1	4	yes	complemented
154	#502723	C₂²	1	4	yes	complemented
155	#502709	C₂²	1	4	yes	complemented
156	#502709	C₂²	1	4	yes	complemented
157	#502703	C₂²	1	4	yes	complemented
158	#502703	C₂²	1	4	yes	complemented
159	#501175	C₂²	1	4	yes	complemented
160	#501175	C₂²	1	4	yes	complemented
161	#501173	C₂²	1	4	yes	complemented
162	#501173	C₂²	1	4	yes	complemented
163	#501158	C₂²	1	4	yes	complemented
164	#501158	C₂²	1	4	yes	complemented
165	#501156	C₂²	1	4	yes	complemented
166	#501156	C₂²	1	4	yes	complemented
167	#501099	C₂²	1	4	yes	complemented
168	#501099	C₂²	1	4	yes	complemented
169	#501097	C₂²	1	4	yes	complemented
170	#501097	C₂²	1	4	yes	complemented
171	#501089	C₂²	1	4	yes	complemented
172	#501089	C₂²	1	4	yes	complemented
173	#501089	C₂²	1	4	yes	complemented
174	#501089	C₂²	1	4	yes	complemented
175	#500762	C₂²	1	4	yes	complemented
176	#500761	C₂²	1	4	yes	complemented
177	#500760	C₂²	1	2	yes	complemented
178	#500759	C₂²	1	2	yes	complemented
179	#500758	C₂²	1	2	yes	complemented
180	#500757	C₂²	1	2	yes	complemented
181	#500544	C₂²	1	4	yes	complemented
182	#500544	C₂²	1	4	yes	complemented
183	#500534	C₂²	1	4	yes	complemented
184	#500534	C₂²	1	4	yes	complemented
185	#500507	C₂²	1	2	yes	complemented
186	#500507	C₂²	1	2	yes	complemented
187	#500500	C₂²	1	2	yes	complemented
188	#500500	C₂²	1	2	yes	complemented
189	#500498	C₂²	1	2	yes	complemented
190	#500498	C₂²	1	2	yes	complemented
191	#500489	C₂²	1	2	yes	complemented
192	#500489	C₂²	1	2	yes	complemented
193	#500425	C₂²	1	4	yes	complemented
194	#500419	C₂²	1	4	yes	complemented
195	#500405	C₂²	1	4	yes	complemented
196	#500399	C₂²	1	4	yes	complemented
197	#500230	C₂²	1	4	yes	complemented
198	#500226	C₂²	1	4	yes	complemented
199	#500222	C₂²	1	4	yes	complemented
200	#500218	C₂²	1	4	yes	complemented
201	#500178	C₂²	1	4	yes	complemented
202	#500177	C₂²	1	4	yes	complemented
203	#500172	C₂²	1	4	yes	complemented
204	#500172	C₂²	1	4	yes	complemented
205	#500077	C₂²	1	4	yes	complemented
206	#500071	C₂²	1	4	yes	complemented
207	#500057	C₂²	1	4	yes	complemented
208	#500051	C₂²	1	4	yes	complemented
209	#499848	C₂²	1	4	yes	complemented
210	#499848	C₂²	1	4	yes	complemented
211	#499834	C₂²	1	4	yes	complemented
212	#499832	C₂²	1	4	yes	complemented
213	#499809	C₂²	1	4	yes	complemented
214	#499807	C₂²	1	4	yes	complemented
215	#499789	C₂²	1	4	yes	complemented
216	#499787	C₂²	1	4	yes	complemented
217	#499296	C₂²	1	4	yes	complemented
218	#499293	C₂²	1	4	yes	complemented
219	#499283	C₂²	1	2	yes	complemented
220	#499283	C₂²	1	2	yes	complemented
221	#499282	C₂²	1	2	yes	complemented
222	#499282	C₂²	1	2	yes	complemented
223	#499141	C₂²	1	4	yes	complemented
224	#499137	C₂²	1	4	yes	complemented
225	#499134	C₂²	1	4	yes	complemented
226	C₂×#13424	C₂²	1	4	yes	complemented
227	#498931	C₂²	1	4	yes	complemented
228	#498927	C₂²	1	4	yes	complemented
229	#498924	C₂²	1	4	yes	complemented
230	C₂×#13348	C₂²	1	4	yes	complemented
231	#497486	C₂²	1	4	yes	complemented
232	#497484	C₂²	1	2	yes	complemented
233	#497484	C₂²	1	2	yes	complemented
234	#497480	C₂²	1	2	yes	complemented
235	#497480	C₂²	1	2	yes	complemented
236	#497478	C₂²	1	4	yes	complemented
237	#497363	C₂²	1	4	yes	complemented
238	#497363	C₂²	1	4	yes	complemented
239	#497353	C₂²	1	4	yes	complemented
240	#497353	C₂²	1	4	yes	complemented
241	#497307	C₂²	1	2	yes	complemented
242	#497307	C₂²	1	2	yes	complemented
243	D₄×#354	C₂²	1	2	yes	complemented
244	D₄×#354	C₂²	1	2	yes	complemented
245	#497293	C₂²	1	2	yes	complemented
246	#497293	C₂²	1	2	yes	complemented
247	D₄×AΣL(1,𝔽₁₆)	C₂²	1	2	yes	complemented
248	D₄×AΣL(1,𝔽₁₆)	C₂²	1	2	yes	complemented
249	#496420	C₂²	1	1	yes	characteristic, complemented
250	#496419	C₂²	1	1	yes	characteristic, complemented
251	#496334	C₂²	1	1	yes	characteristic, complemented
252	#496332	C₂²	1	1	yes	characteristic, complemented
253	#496309	C₂²	1	1	yes	characteristic, complemented
254	#496309	C₂²	1	1	yes	characteristic, complemented
255	#496239	C₂²	1	4	yes	complemented
256	#496239	C₂²	1	4	yes	complemented
257	#496200	C₂²	1	4	yes	complemented
258	#494009	C₂²	1	1	yes	characteristic, complemented
259	#494006	C₂²	1	1	yes	characteristic, complemented
260	#493997	C₂²	1	1	yes	characteristic, complemented
261	#493997	C₂²	1	1	yes	characteristic, complemented
262	#493974	C₂²	1	1	yes	characteristic, complemented
263	#493967	C₂²	1	1	yes	characteristic, complemented
264	#493858	C₂²	1	4	yes	complemented
265	#493433	C₂²	1	4	yes	complemented
266	#493424	C₂²	1	4	yes	complemented
267	#62983	C₂³	1	2	yes	—
268	#62983	C₂³	1	2	yes	—
269	D₄×H(5,𝔽₂)	C₂³	1	2	yes	—
270	D₄×H(5,𝔽₂)	C₂³	1	2	yes	—
271	#62842	C₂³	1	4	yes	—
272	C₂×#3500	C₂³	1	2	yes	—
273	C₂×#3498	C₂³	1	1	yes	characteristic
274	C₂×#3497	D₄	1	1	yes	characteristic, complemented
275	#62781	C₂³	1	1	yes	characteristic
276	#62781	C₂³	1	1	yes	characteristic
277	C₂×#3484	C₂³	1	2	yes	—
278	C₂×#3481	C₂³	1	2	yes	—
279	C₂²×D₄²	D₄	1	1	yes	characteristic, complemented
280	C₂²×#532	D₄	1	1	yes	characteristic, complemented
281	C₂×#3026	C₂³	1	4	yes	—
282	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
283	C₂×#3019	C₂³	1	4	yes	—
284	C₂²×#455	C₂³	1	4	yes	—
285	#59945	C₂³	1	2	yes	—
286	#59846	C₂³	1	2	yes	—
287	#59802	C₂³	1	2	yes	—
288	#59628	C₂³	1	1	yes	characteristic
289	#59375	C₂³	1	1	yes	characteristic
290	#59370	C₂³	1	4	yes	—
291	#59202	C₂³	1	2	yes	—
292	#59198	C₂³	1	1	yes	characteristic
293	#59162	C₂³	1	4	yes	—
294	#59162	C₂³	1	4	yes	—
295	#59006	C₂³	1	4	yes	—
296	#58997	C₂³	1	1	yes	characteristic
297	#58990	C₂³	1	4	yes	—
298	#52301	C₂³	1	2	yes	—
299	#52185	C₂³	1	2	yes	—
300	#52165	C₂³	1	2	yes	—
301	C₂×#2684	C₂³	1	4	yes	—
302	#52054	C₂³	1	4	yes	—
303	#52004	C₂³	1	4	yes	—
304	#51691	C₂³	1	4	yes	—
305	#50856	C₂³	1	4	yes	—
306	#50635	C₂³	1	4	yes	—
307	#50274	C₂³	1	4	yes	—
308	#48997	C₂³	1	4	yes	—
309	#48088	C₂³	1	4	yes	—
310	#46190	C₂³	1	2	yes	—
311	#45599	C₂³	1	2	yes	—
312	#45537	C₂³	1	4	yes	—
313	#39363	D₄	1	2	yes	complemented
314	#39361	C₂³	1	2	yes	—
315	#39338	D₄	1	2	yes	complemented
316	#39338	C₂³	1	2	yes	—
317	#38906	D₄	1	2	yes	complemented
318	#38906	C₂³	1	2	yes	—
319	#38904	D₄	1	2	yes	complemented
320	#38904	C₂³	1	2	yes	—
321	#37683	D₄	1	4	yes	complemented
322	#37677	C₂³	1	4	yes	—
323	#37644	D₄	1	4	yes	complemented
324	#37644	C₂³	1	4	yes	—
325	#37426	C₂³	1	1	yes	characteristic
326	#37419	C₂³	1	1	yes	characteristic
327	#37374	C₂³	1	1	yes	characteristic
328	#37374	C₂³	1	2	yes	—
329	#37273	C₂³	1	2	yes	—
330	#37269	C₂³	1	1	yes	characteristic
331	#37119	C₂³	1	4	yes	—
332	#37099	C₂³	1	2	yes	—
333	#36871	C₂³	1	2	yes	—
334	#36737	C₂³	1	4	yes	—
335	#36702	C₂³	1	4	yes	—
336	#36624	D₄	1	1	yes	characteristic, complemented
337	#36236	D₄	1	2	yes	complemented
338	#36236	C₂³	1	2	yes	—
339	#36212	D₄	1	2	yes	complemented
340	#36212	C₂³	1	2	yes	—
341	#36128	D₄	1	2	yes	complemented
342	D₄×#124	C₂³	1	2	yes	—
343	D₄×#120	D₄	1	2	yes	complemented
344	D₄×#120	C₂³	1	2	yes	—
345	#35676	D₄	1	2	yes	complemented
346	#35514	D₄	1	2	yes	complemented
347	#35514	D₄	1	2	yes	complemented
348	#35513	C₂³	1	2	yes	—
349	#35512	C₂³	1	2	yes	—
350	#35512	C₂³	1	2	yes	—
351	#35289	D₄	1	1	yes	characteristic, complemented
352	#35279	C₂³	1	1	yes	characteristic
353	#35274	D₄	1	1	yes	characteristic, complemented
354	#35256	D₄	1	2	yes	complemented
355	#35222	D₄	1	2	yes	complemented
356	#35165	D₄	1	1	yes	characteristic, complemented
357	#35152	D₄	1	2	yes	complemented
358	#34937	C₂³	1	1	yes	characteristic
359	#34936	D₄	1	1	yes	characteristic, complemented
360	#34935	C₂³	1	1	yes	characteristic
361	C₂×#2548	D₄	1	1	yes	characteristic, complemented
362	#34369	C₂³	1	2	yes	—
363	#34360	C₂³	1	2	yes	—
364	#34256	C₂³	1	2	yes	—
365	#34210	D₄	1	1	yes	characteristic, complemented
366	#34210	D₄	1	1	yes	characteristic, complemented
367	#34141	D₄	1	1	yes	characteristic, complemented
368	C₄×#536	C₂³	1	1	yes	characteristic
369	C₄×#535	C₂³	1	1	yes	characteristic
370	C₄×#525	C₂³	1	1	yes	characteristic
371	C₂×#2198	C₂³	1	4	yes	—
372	C₂×#2198	C₂³	1	4	yes	—
373	C₂×#2197	C₂³	1	4	yes	—
374	C₂×#2197	C₂³	1	4	yes	—
375	C₂×#2197	C₂³	1	4	yes	—
376	C₂×#2197	C₂³	1	4	yes	—
377	C₂×#2196	C₂³	1	4	yes	—
378	C₂×#2196	C₂³	1	4	yes	—
379	C₂×#2127	C₂³	1	4	yes	—
380	C₂×#2127	C₂³	1	4	yes	—
381	C₂²×#354	C₂³	1	4	yes	—
382	C₂²×#354	C₂³	1	4	yes	—
383	C₂×#2121	C₂³	1	4	yes	—
384	C₂×#2121	C₂³	1	4	yes	—
385	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
386	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
387	#33022	C₂³	1	4	yes	—
388	#33022	C₂³	1	4	yes	—
389	#33020	C₂³	1	4	yes	—
390	#33020	C₂³	1	4	yes	—
391	#32993	C₂³	1	4	yes	—
392	#32990	C₂³	1	4	yes	—
393	#32976	C₂³	1	2	yes	—
394	#32976	C₂³	1	2	yes	—
395	#32975	C₂³	1	2	yes	—
396	#32975	C₂³	1	2	yes	—
397	#32928	C₂³	1	4	yes	—
398	#32927	C₂³	1	2	yes	—
399	#32926	C₂³	1	2	yes	—
400	#32924	C₂³	1	4	yes	—
401	#32922	C₂³	1	2	yes	—
402	#32920	C₂³	1	2	yes	—
403	#32900	C₂³	1	4	yes	—
404	#32900	C₂³	1	4	yes	—
405	#32898	C₂³	1	4	yes	—
406	#32898	C₂³	1	4	yes	—
407	#32891	C₂³	1	4	yes	—
408	#32888	C₂³	1	4	yes	—
409	#25949	C₂³	1	2	yes	—
410	#25948	C₂³	1	1	yes	characteristic
411	#25947	C₂³	1	1	yes	characteristic
412	#25922	C₂³	1	2	yes	—
413	#25918	C₂³	1	1	yes	characteristic
414	#25917	C₂³	1	1	yes	characteristic
415	#25900	C₂³	1	2	yes	—
416	#25899	C₂³	1	2	yes	—
417	#25853	C₂³	1	2	yes	—
418	#25852	C₂³	1	2	yes	—
419	#25773	C₂³	1	2	yes	—
420	#25772	C₂³	1	1	yes	characteristic
421	#25771	C₂³	1	1	yes	characteristic
422	#25743	C₂³	1	2	yes	—
423	#25739	C₂³	1	1	yes	characteristic
424	#25738	C₂³	1	1	yes	characteristic
425	#24413	C₂³	1	4	yes	—
426	#24413	C₂³	1	4	yes	—
427	#24412	C₂³	1	4	yes	—
428	#24412	C₂³	1	4	yes	—
429	#24405	C₂³	1	4	yes	—
430	#24405	C₂³	1	4	yes	—
431	#24405	C₂³	1	4	yes	—
432	#24405	C₂³	1	4	yes	—
433	#24404	C₂³	1	4	yes	—
434	#24404	C₂³	1	4	yes	—
435	#24404	C₂³	1	4	yes	—
436	#24404	C₂³	1	4	yes	—
437	#24352	C₂³	1	2	yes	—
438	#24351	C₂³	1	1	yes	characteristic
439	#24351	C₂³	1	1	yes	characteristic
440	#24350	C₂³	1	1	yes	characteristic
441	#24350	C₂³	1	1	yes	characteristic
442	#24350	C₂³	1	2	yes	—
443	#24318	C₂³	1	2	yes	—
444	#24314	C₂³	1	2	yes	—
445	#24262	C₂³	1	2	yes	—
446	#24261	C₂³	1	1	yes	characteristic
447	#24261	C₂³	1	1	yes	characteristic
448	#24260	C₂³	1	2	yes	—
449	#24260	C₂³	1	1	yes	characteristic
450	#24260	C₂³	1	1	yes	characteristic
451	#24228	C₂³	1	2	yes	—
452	#24224	C₂³	1	2	yes	—
453	#24059	C₂³	1	4	yes	—
454	#24059	C₂³	1	4	yes	—
455	#24059	C₂³	1	2	yes	—
456	#24059	C₂³	1	2	yes	—
457	#24058	C₂³	1	4	yes	—
458	#24058	C₂³	1	4	yes	—
459	#24057	C₂³	1	2	yes	—
460	#24057	C₂³	1	2	yes	—
461	#24056	C₂³	1	4	yes	—
462	#24056	C₂³	1	4	yes	—
463	#24025	C₂³	1	2	yes	—
464	#24025	C₂³	1	2	yes	—
465	#23914	C₂³	1	2	yes	—
466	#23914	C₂³	1	2	yes	—
467	#23912	C₂³	1	4	yes	—
468	#23912	C₂³	1	4	yes	—
469	#23908	C₂³	1	4	yes	—
470	#23908	C₂³	1	4	yes	—
471	#23907	C₂³	1	4	yes	—
472	#23907	C₂³	1	4	yes	—
473	#23904	C₂³	1	2	yes	—
474	#23904	C₂³	1	2	yes	—
475	#23903	C₂³	1	4	yes	—
476	#23903	C₂³	1	4	yes	—
477	#23902	C₂³	1	4	yes	—
478	#23902	C₂³	1	4	yes	—
479	#23902	C₂³	1	2	yes	—
480	#23902	C₂³	1	2	yes	—
481	#23900	C₂³	1	4	yes	—
482	#23900	C₂³	1	4	yes	—
483	D₄×#100	C₂³	1	2	yes	—
484	D₄×#100	C₂³	1	4	yes	—
485	D₄×#100	C₂³	1	2	yes	—
486	D₄×#99	C₂³	1	2	yes	—
487	D₄×#99	C₂³	1	2	yes	—
488	D₄×#99	C₂³	1	2	yes	—
489	D₄×#99	C₂³	1	2	yes	—
490	D₄×#99	C₂³	1	4	yes	—
491	D₄×#99	C₂³	1	2	yes	—
492	D₄×#99	C₂³	1	2	yes	—
493	#21482	C₂³	1	4	yes	—
494	C₄×#458	C₂³	1	2	yes	—
495	C₄×#458	C₂³	1	2	yes	—
496	C₄×B(4,𝔽₂)	C₂³	1	2	yes	—
497	C₄×B(4,𝔽₂)	C₂³	1	2	yes	—
498	C₄×B(4,𝔽₂)	C₂³	1	2	yes	—
499	C₄×B(4,𝔽₂)	C₂³	1	2	yes	—
500	#21474	C₂³	1	4	yes	—
501	C₄×#455	C₂³	1	2	yes	—
502	C₄×#455	C₂³	1	2	yes	—
503	#20960	C₂³	1	4	yes	—
504	C₂×#1889	C₂³	1	4	yes	—
505	#20953	C₂³	1	4	yes	—
506	C₂×#1885	C₂³	1	4	yes	—
507	#20889	C₂³	1	4	yes	—
508	C₂×#1867	C₂³	1	4	yes	—
509	#20728	C₂³	1	1	yes	characteristic
510	#20728	C₂³	1	1	yes	characteristic
511	#20723	C₂³	1	1	yes	characteristic
512	#20723	C₂³	1	1	yes	characteristic
513	#20723	C₂³	1	1	yes	characteristic
514	#20723	C₂³	1	1	yes	characteristic
515	#20609	C₂³	1	4	yes	—
516	C₂×#1790	C₂³	1	4	yes	—
517	#20592	C₂³	1	4	yes	—
518	#20585	C₂³	1	4	yes	—
519	#20585	C₂³	1	4	yes	—
520	#13463	C₂³	1	2	yes	—
521	#13463	C₂³	1	2	yes	—
522	#13463	C₂³	1	4	yes	—
523	#13462	C₂³	1	2	yes	—
524	#13462	C₂³	1	2	yes	—
525	#13462	C₂³	1	4	yes	—
526	#13425	C₂³	1	4	yes	—
527	#13425	C₂³	1	4	yes	—
528	#13425	C₂³	1	4	yes	—
529	#13425	C₂³	1	4	yes	—
530	#13425	C₂³	1	4	yes	—
531	#13425	C₂³	1	4	yes	—
532	#13425	C₂³	1	2	yes	—
533	#13425	C₂³	1	2	yes	—
534	#13425	C₂³	1	4	yes	—
535	#13424	C₂³	1	4	yes	—
536	#13424	C₂³	1	4	yes	—
537	#13424	C₂³	1	4	yes	—
538	#13424	C₂³	1	4	yes	—
539	#13424	C₂³	1	4	yes	—
540	#13424	C₂³	1	4	yes	—
541	#13424	C₂³	1	4	yes	—
542	#13424	C₂³	1	4	yes	—
543	#13424	C₂³	1	4	yes	—
544	#13424	C₂³	1	4	yes	—
545	#13424	C₂³	1	2	yes	—
546	#13424	C₂³	1	2	yes	—
547	#13424	C₂³	1	2	yes	—
548	#13424	C₂³	1	2	yes	—
549	#13424	C₂³	1	2	yes	—
550	#13424	C₂³	1	2	yes	—
551	#13424	C₂³	1	4	yes	—
552	#13424	C₂³	1	4	yes	—
553	#13424	C₂³	1	4	yes	—
554	#13423	C₂³	1	4	yes	—
555	#13423	C₂³	1	4	yes	—
556	#13422	C₂³	1	4	yes	—
557	#13422	C₂³	1	4	yes	—
558	#13422	C₂³	1	4	yes	—
559	#13422	C₂³	1	4	yes	—
560	#13422	C₂³	1	4	yes	—
561	#13422	C₂³	1	4	yes	—
562	#13420	C₂³	1	2	yes	—
563	#13420	C₂³	1	4	yes	—
564	#13420	C₂³	1	2	yes	—
565	#13419	C₂³	1	2	yes	—
566	#13419	C₂³	1	4	yes	—
567	#13419	C₂³	1	2	yes	—
568	#13377	C₂³	1	4	yes	—
569	#13377	C₂³	1	2	yes	—
570	#13377	C₂³	1	2	yes	—
571	#13376	C₂³	1	4	yes	—
572	#13376	C₂³	1	2	yes	—
573	#13376	C₂³	1	2	yes	—
574	#13349	C₂³	1	4	yes	—
575	#13349	C₂³	1	4	yes	—
576	#13349	C₂³	1	4	yes	—
577	#13349	C₂³	1	4	yes	—
578	#13349	C₂³	1	4	yes	—
579	#13349	C₂³	1	4	yes	—
580	#13349	C₂³	1	4	yes	—
581	#13349	C₂³	1	2	yes	—
582	#13349	C₂³	1	2	yes	—
583	#13348	C₂³	1	4	yes	—
584	#13348	C₂³	1	4	yes	—
585	#13348	C₂³	1	4	yes	—
586	#13348	C₂³	1	4	yes	—
587	#13348	C₂³	1	4	yes	—
588	#13348	C₂³	1	4	yes	—
589	#13348	C₂³	1	4	yes	—
590	#13348	C₂³	1	4	yes	—
591	#13348	C₂³	1	4	yes	—
592	#13348	C₂³	1	4	yes	—
593	#13348	C₂³	1	4	yes	—
594	#13348	C₂³	1	2	yes	—
595	#13348	C₂³	1	2	yes	—
596	#13348	C₂³	1	2	yes	—
597	#13348	C₂³	1	2	yes	—
598	#13348	C₂³	1	2	yes	—
599	#13348	C₂³	1	2	yes	—
600	#13348	C₂³	1	4	yes	—
601	#13348	C₂³	1	4	yes	—
602	#13347	C₂³	1	4	yes	—
603	#13347	C₂³	1	4	yes	—
604	#13346	C₂³	1	4	yes	—
605	#13346	C₂³	1	4	yes	—
606	#13346	C₂³	1	4	yes	—
607	#13346	C₂³	1	4	yes	—
608	#13346	C₂³	1	4	yes	—
609	#13346	C₂³	1	4	yes	—
610	#13344	C₂³	1	4	yes	—
611	#13344	C₂³	1	2	yes	—
612	#13344	C₂³	1	2	yes	—
613	#13343	C₂³	1	4	yes	—
614	#13343	C₂³	1	2	yes	—
615	#13343	C₂³	1	2	yes	—
616	#13296	C₂³	1	4	yes	—
617	#13295	C₂³	1	2	yes	—
618	#13295	C₂³	1	2	yes	—
619	#13293	C₂³	1	4	yes	—
620	#13292	C₂³	1	2	yes	—
621	#13292	C₂³	1	2	yes	—
622	#13225	C₂³	1	4	yes	—
623	#13225	C₂³	1	2	yes	—
624	#13225	C₂³	1	2	yes	—
625	#13224	C₂³	1	2	yes	—
626	#13224	C₂³	1	1	yes	characteristic
627	#13224	C₂³	1	1	yes	characteristic
628	#13223	C₂³	1	2	yes	—
629	#13223	C₂³	1	1	yes	characteristic
630	#13223	C₂³	1	1	yes	characteristic
631	#13222	C₂³	1	4	yes	—
632	#13221	C₂³	1	2	yes	—
633	#13220	C₂³	1	2	yes	—
634	#13219	C₂³	1	2	yes	—
635	#13219	C₂³	1	2	yes	—
636	#13218	C₂³	1	1	yes	characteristic
637	#13218	C₂³	1	1	yes	characteristic
638	#13217	C₂³	1	1	yes	characteristic
639	#13217	C₂³	1	1	yes	characteristic
640	#13090	C₂³	1	4	yes	—
641	#13090	C₂³	1	4	yes	—
642	#13090	C₂³	1	4	yes	—
643	#13090	C₂³	1	4	yes	—
644	#13088	C₂³	1	4	yes	—
645	#13088	C₂³	1	4	yes	—
646	#13088	C₂³	1	4	yes	—
647	#13088	C₂³	1	4	yes	—
648	#13086	C₂³	1	4	yes	—
649	#13086	C₂³	1	4	yes	—
650	#13086	C₂³	1	4	yes	—
651	#13086	C₂³	1	4	yes	—
652	#13084	C₂³	1	4	yes	—
653	#13084	C₂³	1	4	yes	—
654	#13084	C₂³	1	4	yes	—
655	#13084	C₂³	1	4	yes	—
656	#13082	C₂³	1	4	yes	—
657	#13082	C₂³	1	4	yes	—
658	#13082	C₂³	1	4	yes	—
659	#13082	C₂³	1	4	yes	—
660	#13080	C₂³	1	4	yes	—
661	#13080	C₂³	1	4	yes	—
662	#13080	C₂³	1	4	yes	—
663	#13080	C₂³	1	4	yes	—
664	#13049	C₂³	1	4	yes	—
665	#13049	C₂³	1	4	yes	—
666	#13049	C₂³	1	4	yes	—
667	#13049	C₂³	1	4	yes	—
668	#13048	C₂³	1	4	yes	—
669	#13048	C₂³	1	4	yes	—
670	#13048	C₂³	1	4	yes	—
671	#13048	C₂³	1	4	yes	—
672	#13044	C₂³	1	4	yes	—
673	#13044	C₂³	1	4	yes	—
674	#13044	C₂³	1	4	yes	—
675	#13044	C₂³	1	4	yes	—
676	#13041	C₂³	1	4	yes	—
677	#13041	C₂³	1	4	yes	—
678	#13041	C₂³	1	4	yes	—
679	#13041	C₂³	1	4	yes	—
680	#12966	C₂³	1	4	yes	—
681	#12966	C₂³	1	4	yes	—
682	#12966	C₂³	1	4	yes	—
683	#12966	C₂³	1	4	yes	—
684	#12965	C₂³	1	4	yes	—
685	#12965	C₂³	1	4	yes	—
686	#12965	C₂³	1	4	yes	—
687	#12965	C₂³	1	4	yes	—
688	#12961	C₂³	1	4	yes	—
689	#12961	C₂³	1	4	yes	—
690	#12961	C₂³	1	4	yes	—
691	#12961	C₂³	1	4	yes	—
692	#12958	C₂³	1	4	yes	—
693	#12958	C₂³	1	4	yes	—
694	#12958	C₂³	1	4	yes	—
695	#12958	C₂³	1	4	yes	—
696	#12859	C₂³	1	2	yes	—
697	#12859	C₂³	1	2	yes	—
698	#12855	C₂³	1	4	yes	—
699	#12855	C₂³	1	4	yes	—
700	#12855	C₂³	1	2	yes	—
701	#12855	C₂³	1	2	yes	—
702	#12854	C₂³	1	4	yes	—
703	#12854	C₂³	1	4	yes	—
704	#12853	C₂³	1	2	yes	—
705	#12853	C₂³	1	2	yes	—
706	#12852	C₂³	1	4	yes	—
707	#12852	C₂³	1	4	yes	—
708	#12800	C₂³	1	2	yes	—
709	#12800	C₂³	1	2	yes	—
710	#12798	C₂³	1	2	yes	—
711	#12798	C₂³	1	2	yes	—
712	#12795	C₂³	1	2	yes	—
713	#12795	C₂³	1	2	yes	—
714	#12794	C₂³	1	2	yes	—
715	#12794	C₂³	1	2	yes	—
716	#12793	C₂³	1	2	yes	—
717	#12793	C₂³	1	2	yes	—
718	#12793	C₂³	1	2	yes	—
719	#12793	C₂³	1	2	yes	—
720	#12761	C₂³	1	4	yes	—
721	#12761	C₂³	1	4	yes	—
722	#12761	C₂³	1	4	yes	—
723	#12761	C₂³	1	4	yes	—
724	#12760	C₂³	1	4	yes	—
725	#12760	C₂³	1	4	yes	—
726	#12759	C₂³	1	4	yes	—
727	#12759	C₂³	1	4	yes	—
728	#12698	C₂³	1	2	yes	—
729	#12698	C₂³	1	2	yes	—
730	#12696	C₂³	1	4	yes	—
731	#12696	C₂³	1	4	yes	—
732	#12695	C₂³	1	4	yes	—
733	#12695	C₂³	1	4	yes	—
734	#12694	C₂³	1	4	yes	—
735	#12694	C₂³	1	4	yes	—
736	#12691	C₂³	1	2	yes	—
737	#12691	C₂³	1	2	yes	—
738	#12690	C₂³	1	4	yes	—
739	#12690	C₂³	1	4	yes	—
740	#12689	C₂³	1	2	yes	—
741	#12689	C₂³	1	2	yes	—
742	#12689	C₂³	1	4	yes	—
743	#12689	C₂³	1	4	yes	—
744	#12687	C₂³	1	4	yes	—
745	#12687	C₂³	1	4	yes	—
746	#12627	C₂³	1	4	yes	—
747	C₄×#354	C₂³	1	2	yes	—
748	C₄×#354	C₂³	1	2	yes	—
749	#12622	C₂³	1	4	yes	—
750	C₄×#352	C₂³	1	1	yes	characteristic
751	C₄×#352	C₂³	1	1	yes	characteristic
752	C₄×#352	C₂³	1	2	yes	—
753	C₄×AΣL(1,𝔽₁₆)	C₂³	1	2	yes	—
754	C₄×AΣL(1,𝔽₁₆)	C₂³	1	2	yes	—
755	C₄×AΣL(1,𝔽₁₆)	C₂³	1	2	yes	—
756	C₄×AΣL(1,𝔽₁₆)	C₂³	1	1	yes	characteristic
757	C₄×AΣL(1,𝔽₁₆)	C₂³	1	1	yes	characteristic
758	#12574	C₂³	1	4	yes	—
759	#12574	C₂³	1	4	yes	—
760	C₂×#1390	C₂³	1	4	yes	—
761	C₂×#1390	C₂³	1	4	yes	—
762	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	complemented
763	C₂²×H(5,𝔽₂)	C₂⁴	1	4	yes	—
764	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
765	C₂³×#41	C₂×D₄	1	2	yes	complemented
766	C₂⁴×D₄	C₂×D₄	1	2	yes	—
767	C₂⁴×D₄	C₂×D₄	1	2	yes	—
768	#3501	C₂⁴	1	1	yes	characteristic
769	#3501	C₂⁴	1	1	yes	characteristic
770	#3496	C₂⁴	1	1	yes	characteristic
771	#3496	C₂⁴	1	1	yes	characteristic
772	#3485	C₂⁴	1	2	yes	—
773	#3485	C₂⁴	1	2	yes	—
774	#3484	C₂⁴	1	4	yes	—
775	#3484	C₂⁴	1	4	yes	—
776	C₂×#559	C₂⁴	1	2	yes	—
777	C₂×#551	C₂⁴	1	2	yes	—
778	C₂×#551	C₂⁴	1	2	yes	—
779	C₂×#550	C₂×D₄	1	2	yes	—
780	C₂×#550	C₂×D₄	1	2	yes	—
781	C₂×#550	C₂×D₄	1	2	yes	complemented
782	C₂×D₄×Q₈	C₂×D₄	1	2	yes	complemented
783	C₂×#548	C₂×D₄	1	4	yes	complemented
784	C₂×D₄²	C₂×D₄	1	2	yes	—
785	C₂×D₄²	C₂×D₄	1	2	yes	—
786	C₂×D₄²	C₂×D₄	1	2	yes	—
787	C₂×D₄²	C₂×D₄	1	2	yes	—
788	C₂×D₄²	C₂⁴	1	2	yes	—
789	C₂×D₄²	C₂⁴	1	2	yes	—
790	C₂×D₄²	C₂⁴	1	2	yes	—
791	C₂×#537	C₂×D₄	1	2	yes	complemented
792	C₂×#536	C₂×D₄	1	4	yes	complemented
793	C₂×#536	C₂⁴	1	1	yes	characteristic
794	C₂×#535	C₂×D₄	1	2	yes	—
795	C₂×#535	C₂×D₄	1	2	yes	—
796	C₂×#535	C₂×D₄	1	2	yes	—
797	C₂×#535	C₂×D₄	1	2	yes	—
798	C₂×#535	C₂×D₄	1	2	yes	complemented
799	C₂×#535	C₂×D₄	1	2	yes	complemented
800	C₂×#535	C₂⁴	1	4	yes	—
801	C₂×#535	C₂⁴	1	1	yes	characteristic
802	C₂×#534	C₂×D₄	1	4	yes	—
803	C₂×#534	C₂⁴	1	4	yes	—
804	C₂×#532	C₂×D₄	1	1	yes	characteristic
805	C₂×#532	C₂×D₄	1	1	yes	characteristic
806	C₂×#532	C₂×D₄	1	1	yes	characteristic
807	C₂×#532	C₂×D₄	1	1	yes	characteristic, complemented
808	C₂×#532	C₂×D₄	1	4	yes	complemented
809	C₂×#532	C₂⁴	1	2	yes	—
810	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
811	C₂²×#127	C₂×D₄	1	1	yes	characteristic
812	C₂²×#127	C₂×D₄	1	1	yes	characteristic
813	C₂²×#127	C₂×D₄	1	1	yes	characteristic
814	C₂²×#124	C₂×D₄	1	2	yes	complemented
815	C₂²×#124	C₂×D₄	1	2	yes	complemented
816	C₂²×#124	C₂⁴	1	4	yes	—
817	C₂×#525	C₂×D₄	1	2	yes	—
818	C₂×#525	C₂×D₄	1	2	yes	—
819	C₂×#525	C₂×D₄	1	2	yes	complemented
820	C₂×#525	C₂⁴	1	2	yes	—
821	C₂×#525	C₂⁴	1	1	yes	characteristic
822	C₂²×#121	C₂×D₄	1	2	yes	—
823	C₂²×#121	C₂×D₄	1	2	yes	—
824	C₂²×#121	C₂×D₄	1	2	yes	complemented
825	C₂²×#121	C₂×D₄	1	2	yes	complemented
826	C₂²×#120	C₂×D₄	1	4	yes	—
827	C₂²×#120	C₂×D₄	1	4	yes	—
828	C₂²×#120	C₂⁴	1	4	yes	—
829	C₄×H(5,𝔽₂)	C₂⁴	1	2	yes	—
830	C₄×H(5,𝔽₂)	C₂⁴	1	2	yes	—
831	C₂×#518	C₂×D₄	1	2	yes	—
832	C₂×#518	C₂×D₄	1	2	yes	complemented
833	C₂×#518	C₂⁴	1	4	yes	—
834	C₂×C₄×#41	C₂×D₄	1	2	yes	complemented
835	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
836	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
837	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
838	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
839	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
840	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
841	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic, complemented
842	C₂×#458	C₂⁴	1	2	yes	—
843	C₂×#458	C₂⁴	1	2	yes	—
844	C₂×#458	C₂⁴	1	4	yes	—
845	C₂×#458	C₂⁴	1	4	yes	—
846	C₂×B(4,𝔽₂)	C₂⁴	1	2	yes	—
847	C₂×B(4,𝔽₂)	C₂⁴	1	2	yes	—
848	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
849	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
850	C₂×B(4,𝔽₂)	C₂⁴	1	2	yes	—
851	C₂×B(4,𝔽₂)	C₂⁴	1	4	yes	—
852	C₂×B(4,𝔽₂)	C₂⁴	1	2	yes	—
853	C₂×#455	C₂⁴	1	4	yes	—
854	C₂×#455	C₂⁴	1	4	yes	—
855	C₂×#455	C₂⁴	1	2	yes	—
856	C₂×#455	C₂⁴	1	4	yes	—
857	C₂×#455	C₂⁴	1	2	yes	—
858	C₂×#453	C₂⁴	1	4	yes	—
859	C₂×#453	C₂⁴	1	4	yes	—
860	C₂²×#100	C₂⁴	1	4	yes	—
861	C₂²×#100	C₂⁴	1	4	yes	—
862	C₂²×#99	C₂⁴	1	4	yes	—
863	C₂²×#99	C₂⁴	1	4	yes	—
864	C₂²×#99	C₂⁴	1	4	yes	—
865	C₂²×#99	C₂⁴	1	4	yes	—
866	#2867	C₂×D₄	1	2	yes	complemented
867	#2858	C₂×D₄	1	2	yes	complemented
868	#2856	C₂×D₄	1	4	yes	complemented
869	#2854	C₂×D₄	1	2	yes	complemented
870	#2854	C₂×D₄	1	2	yes	complemented
871	#2850	C₂×D₄	1	4	yes	complemented
872	#2849	C₂×D₄	1	4	yes	complemented
873	#2849	C₂×D₄	1	4	yes	complemented
874	#2847	C₂×D₄	1	2	yes	—
875	#2847	C₂×D₄	1	2	yes	—
876	#2847	C₂×D₄	1	2	yes	complemented
877	#2847	C₂×D₄	1	2	yes	complemented
878	#2846	C₂×D₄	1	4	yes	—
879	#2846	C₂×D₄	1	4	yes	—
880	#2804	C₂⁴	1	2	yes	—
881	#2748	C₂⁴	1	2	yes	—
882	#2717	C₂⁴	1	2	yes	—
883	#2717	C₂⁴	1	4	yes	—
884	#2717	C₂⁴	1	2	yes	—
885	#2709	C₂⁴	1	2	yes	—
886	#2697	C₂⁴	1	2	yes	—
887	#2684	C₂⁴	1	2	yes	—
888	#2684	C₂⁴	1	2	yes	—
889	#2684	C₂⁴	1	4	yes	—
890	#2684	C₂⁴	1	2	yes	—
891	#2684	C₂⁴	1	4	yes	—
892	#2684	C₂⁴	1	2	yes	—
893	#2679	C₂⁴	1	2	yes	—
894	#2669	C₂⁴	1	4	yes	—
895	#2669	C₂⁴	1	2	yes	—
896	#2657	C₂×D₄	1	4	yes	complemented
897	#2622	C₂×D₄	1	4	yes	complemented
898	#2622	C₂×D₄	1	4	yes	complemented
899	#2620	C₂×D₄	1	4	yes	complemented
900	#2619	C₂×D₄	1	4	yes	complemented
901	#2617	C₂×D₄	1	4	yes	—
902	#2613	C₂×D₄	1	4	yes	—
903	#2613	C₂×D₄	1	4	yes	—
904	#2548	C₂×D₄	1	2	yes	complemented
905	#2548	C₂×D₄	1	1	yes	characteristic, complemented
906	#2548	C₂×D₄	1	4	yes	complemented
907	#2548	C₂×D₄	1	2	yes	complemented
908	#2547	C₂⁴	1	1	yes	characteristic
909	#2546	C₂×D₄	1	1	yes	characteristic, complemented
910	#2545	C₂×D₄	1	2	yes	complemented
911	#2544	C₂⁴	1	2	yes	—
912	#2541	C₂⁴	1	1	yes	characteristic
913	#2539	C₂×D₄	1	4	yes	—
914	#2534	C₂×D₄	1	2	yes	—
915	#2534	C₂⁴	1	2	yes	—
916	#2504	C₂×D₄	1	2	yes	complemented
917	#2504	C₂×D₄	1	2	yes	complemented
918	#2501	C₂×D₄	1	2	yes	—
919	#2487	C₂×D₄	1	2	yes	complemented
920	#2487	C₂⁴	1	2	yes	—
921	#2486	C₂×D₄	1	1	yes	characteristic
922	#2486	C₂⁴	1	1	yes	characteristic
923	#2436	C₂×D₄	1	2	yes	complemented
924	#2436	C₂×D₄	1	2	yes	complemented
925	#2436	C₂×D₄	1	4	yes	complemented
926	#2436	C₂×D₄	1	4	yes	complemented
927	#2435	C₂⁴	1	4	yes	—
928	#2433	C₂×D₄	1	2	yes	—
929	#2433	C₂⁴	1	4	yes	—
930	#2432	C₂×D₄	1	4	yes	complemented
931	#2431	C₂×D₄	1	4	yes	complemented
932	#2431	C₂×D₄	1	4	yes	complemented
933	#2431	C₂×D₄	1	4	yes	complemented
934	#2412	C₂×D₄	1	4	yes	—
935	#2412	C₂×D₄	1	4	yes	—
936	#2412	C₂×D₄	1	4	yes	complemented
937	#2412	C₂×D₄	1	4	yes	complemented
938	#2410	C₂×D₄	1	4	yes	—
939	#2410	C₂×D₄	1	4	yes	—
940	#2410	C₂×D₄	1	4	yes	complemented
941	#2410	C₂×D₄	1	4	yes	complemented
942	#2409	C₂×D₄	1	2	yes	complemented
943	#2409	C₂⁴	1	2	yes	—
944	#2408	C₂×D₄	1	1	yes	characteristic
945	#2408	C₂⁴	1	1	yes	characteristic
946	#2405	C₂×D₄	1	4	yes	—
947	#2405	C₂×D₄	1	4	yes	complemented
948	#2405	C₂⁴	1	4	yes	—
949	#2405	C₂⁴	1	4	yes	—
950	#2403	C₂×D₄	1	4	yes	—
951	#2403	C₂×D₄	1	4	yes	complemented
952	#2403	C₂⁴	1	4	yes	—
953	#2403	C₂⁴	1	4	yes	—
954	#2380	C₂⁴	1	4	yes	—
955	#2376	C₂⁴	1	4	yes	—
956	#2372	C₂⁴	1	4	yes	—
957	#2358	C₂⁴	1	4	yes	—
958	D₄×C₂²⋊C₄	C₂×D₄	1	4	yes	—
959	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
960	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
961	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
962	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
963	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
964	D₄×C₂²⋊C₄	C₂×D₄	1	2	yes	complemented
965	#2327	C₂×D₄	1	2	yes	complemented
966	#2326	C₂⁴	1	2	yes	—
967	#2321	C₂×D₄	1	2	yes	—
968	#2321	C₂⁴	1	2	yes	—
969	#2317	C₂×D₄	1	1	yes	characteristic
970	#2317	C₂×D₄	1	2	yes	complemented
971	#2317	C₂×D₄	1	1	yes	characteristic, complemented
972	#2311	C₂×D₄	1	2	yes	—
973	#2311	C₂×D₄	1	2	yes	complemented
974	#2311	C₂×D₄	1	2	yes	complemented
975	#2311	C₂⁴	1	1	yes	characteristic
976	#2311	C₂⁴	1	1	yes	characteristic
977	#2311	C₂⁴	1	2	yes	—
978	#2310	C₂×D₄	1	1	yes	characteristic, complemented
979	#2309	C₂×D₄	1	1	yes	characteristic
980	#2309	C₂×D₄	1	2	yes	—
981	#2309	C₂×D₄	1	2	yes	complemented
982	#2308	C₂×D₄	1	4	yes	complemented
983	#2308	C₂⁴	1	4	yes	—
984	C₄×C₄⋊Q₈	C₂×D₄	1	2	yes	complemented
985	C₄×#124	C₂⁴	1	2	yes	—
986	C₄×#123	C₂×D₄	1	1	yes	characteristic, complemented
987	C₄×#123	C₂×D₄	1	1	yes	characteristic, complemented
988	C₄×#123	C₂⁴	1	1	yes	characteristic
989	C₄×#123	C₂⁴	1	1	yes	characteristic
990	C₄×#120	C₂×D₄	1	2	yes	—
991	C₄×#120	C₂×D₄	1	1	yes	characteristic, complemented
992	C₄×#120	C₂×D₄	1	1	yes	characteristic, complemented
993	C₄×#120	C₂⁴	1	1	yes	characteristic
994	C₄×#120	C₂⁴	1	2	yes	—
995	C₄×#120	C₂⁴	1	1	yes	characteristic
996	#2297	C₂×D₄	1	2	yes	complemented
997	#2297	C₂×D₄	1	2	yes	complemented
998	#2297	C₂×D₄	1	2	yes	complemented
999	#2297	C₂⁴	1	1	yes	characteristic
1000	#2296	C₂×D₄	1	1	yes	characteristic, complemented
1001	#2293	C₂×D₄	1	2	yes	complemented
1002	C₂×#390	C₂×D₄	1	2	yes	complemented
1003	#2290	C₂×D₄	1	4	yes	complemented
1004	C₂×#386	C₂×D₄	1	4	yes	complemented
1005	C₂×#386	C₂⁴	1	4	yes	—
1006	#2285	C₂×D₄	1	1	yes	characteristic
1007	#2285	C₂×D₄	1	1	yes	characteristic, complemented
1008	#2280	C₂×D₄	1	2	yes	—
1009	#2280	C₂×D₄	1	1	yes	characteristic, complemented
1010	C₄²×D₄	C₂×D₄	1	2	yes	complemented
1011	C₄×#117	C₂×D₄	1	1	yes	characteristic
1012	C₄×#117	C₂×D₄	1	1	yes	characteristic, complemented
1013	C₄×#117	C₂×D₄	1	1	yes	characteristic, complemented
1014	C₂×C₄×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
1015	C₂×#354	C₂⁴	1	2	yes	—
1016	C₂×#354	C₂⁴	1	2	yes	—
1017	C₂×#354	C₂⁴	1	2	yes	—
1018	C₂×#354	C₂⁴	1	2	yes	—
1019	C₂×#354	C₂⁴	1	4	yes	—
1020	C₂×#354	C₂⁴	1	4	yes	—
1021	C₂×#354	C₂⁴	1	4	yes	—
1022	C₂×#354	C₂⁴	1	4	yes	—
1023	C₂×#354	C₂⁴	1	4	yes	—
1024	C₂×#354	C₂⁴	1	4	yes	—
1025	C₂×#353	C₂⁴	1	4	yes	—
1026	C₂×#353	C₂⁴	1	4	yes	—
1027	C₂×#353	C₂⁴	1	4	yes	—
1028	C₂×#353	C₂⁴	1	4	yes	—
1029	C₂×#352	C₂⁴	1	2	yes	—
1030	C₂×#352	C₂⁴	1	4	yes	—
1031	C₂×#352	C₂⁴	1	4	yes	—
1032	C₂×#352	C₂⁴	1	4	yes	—
1033	C₂×#352	C₂⁴	1	2	yes	—
1034	C₂×#352	C₂⁴	1	4	yes	—
1035	C₂×#352	C₂⁴	1	4	yes	—
1036	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1037	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1038	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1039	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1040	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1041	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1042	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1043	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1044	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1045	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1046	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1047	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	4	yes	—
1048	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	2	yes	—
1049	#1890	C₂⁴	1	2	yes	—
1050	#1890	C₂⁴	1	2	yes	—
1051	#1890	C₂⁴	1	4	yes	—
1052	#1890	C₂⁴	1	4	yes	—
1053	#1889	C₂⁴	1	2	yes	—
1054	#1889	C₂⁴	1	2	yes	—
1055	#1889	C₂⁴	1	4	yes	—
1056	#1889	C₂⁴	1	2	yes	—
1057	#1889	C₂⁴	1	2	yes	—
1058	#1889	C₂⁴	1	4	yes	—
1059	#1889	C₂⁴	1	4	yes	—
1060	#1887	C₂⁴	1	4	yes	—
1061	#1887	C₂⁴	1	4	yes	—
1062	#1885	C₂⁴	1	4	yes	—
1063	#1885	C₂⁴	1	4	yes	—
1064	#1885	C₂⁴	1	2	yes	—
1065	#1885	C₂⁴	1	4	yes	—
1066	#1885	C₂⁴	1	2	yes	—
1067	#1867	C₂⁴	1	4	yes	—
1068	#1867	C₂⁴	1	2	yes	—
1069	#1867	C₂⁴	1	2	yes	—
1070	#1867	C₂⁴	1	2	yes	—
1071	#1867	C₂⁴	1	2	yes	—
1072	#1867	C₂⁴	1	2	yes	—
1073	#1867	C₂⁴	1	2	yes	—
1074	#1867	C₂⁴	1	4	yes	—
1075	#1867	C₂⁴	1	4	yes	—
1076	#1867	C₂⁴	1	4	yes	—
1077	#1867	C₂⁴	1	4	yes	—
1078	#1856	C₂⁴	1	2	yes	—
1079	#1856	C₂⁴	1	4	yes	—
1080	#1856	C₂⁴	1	2	yes	—
1081	#1800	C₂⁴	1	2	yes	—
1082	#1800	C₂⁴	1	2	yes	—
1083	#1799	C₂⁴	1	1	yes	characteristic
1084	#1799	C₂⁴	1	1	yes	characteristic
1085	#1799	C₂⁴	1	2	yes	—
1086	#1799	C₂⁴	1	2	yes	—
1087	#1799	C₂⁴	1	1	yes	characteristic
1088	#1799	C₂⁴	1	1	yes	characteristic
1089	#1792	C₂⁴	1	2	yes	—
1090	#1792	C₂⁴	1	4	yes	—
1091	#1792	C₂⁴	1	2	yes	—
1092	#1790	C₂⁴	1	2	yes	—
1093	#1790	C₂⁴	1	2	yes	—
1094	#1790	C₂⁴	1	4	yes	—
1095	#1790	C₂⁴	1	4	yes	—
1096	#1790	C₂⁴	1	4	yes	—
1097	#1790	C₂⁴	1	4	yes	—
1098	#1790	C₂⁴	1	2	yes	—
1099	#1790	C₂⁴	1	2	yes	—
1100	#1790	C₂⁴	1	2	yes	—
1101	#1790	C₂⁴	1	4	yes	—
1102	#1790	C₂⁴	1	2	yes	—
1103	#1785	C₂⁴	1	2	yes	—
1104	#1785	C₂⁴	1	2	yes	—
1105	#1783	C₂⁴	1	4	yes	—
1106	#1783	C₂⁴	1	4	yes	—
1107	#1782	C₂⁴	1	2	yes	—
1108	#1782	C₂⁴	1	2	yes	—
1109	#1782	C₂⁴	1	2	yes	—
1110	#1782	C₂⁴	1	2	yes	—
1111	#1781	C₂⁴	1	4	yes	—
1112	#1781	C₂⁴	1	4	yes	—
1113	#1781	C₂⁴	1	4	yes	—
1114	#1781	C₂⁴	1	4	yes	—
1115	C₄×#100	C₂⁴	1	1	yes	characteristic
1116	C₄×#100	C₂⁴	1	1	yes	characteristic
1117	C₄×#100	C₂⁴	1	2	yes	—
1118	C₄×#99	C₂⁴	1	2	yes	—
1119	C₄×#99	C₂⁴	1	2	yes	—
1120	C₄×#99	C₂⁴	1	1	yes	characteristic
1121	C₄×#99	C₂⁴	1	1	yes	characteristic
1122	C₄×#99	C₂⁴	1	2	yes	—
1123	#1393	C₂⁴	1	2	yes	—
1124	#1393	C₂⁴	1	2	yes	—
1125	#1393	C₂⁴	1	2	yes	—
1126	#1393	C₂⁴	1	2	yes	—
1127	#1393	C₂⁴	1	4	yes	—
1128	#1393	C₂⁴	1	4	yes	—
1129	#1390	C₂⁴	1	2	yes	—
1130	#1390	C₂⁴	1	2	yes	—
1131	#1390	C₂⁴	1	4	yes	—
1132	#1390	C₂⁴	1	4	yes	—
1133	#1390	C₂⁴	1	4	yes	—
1134	#1390	C₂⁴	1	4	yes	—
1135	#1390	C₂⁴	1	4	yes	—
1136	#1390	C₂⁴	1	4	yes	—
1137	#1390	C₂⁴	1	2	yes	—
1138	#1390	C₂⁴	1	2	yes	—
1139	#1390	C₂⁴	1	4	yes	—
1140	#1390	C₂⁴	1	4	yes	—
1141	#1390	C₂⁴	1	4	yes	—
1142	#1390	C₂⁴	1	4	yes	—
1143	#1390	C₂⁴	1	2	yes	—
1144	#1390	C₂⁴	1	4	yes	—
1145	#1390	C₂⁴	1	2	yes	—
1146	#1390	C₂⁴	1	2	yes	—
1147	#1390	C₂⁴	1	4	yes	—
1148	#1390	C₂⁴	1	2	yes	—
1149	C₂⁶	C₂²×D₄	1	4	yes	—
1150	C₂×H(5,𝔽₂)	C₂⁵	1	2	yes	—
1151	C₂×H(5,𝔽₂)	C₂⁵	1	2	yes	—
1152	C₂²×#41	C₂²×D₄	1	2	yes	—
1153	C₂²×#41	C₂²×D₄	1	4	yes	—
1154	C₂²×#41	C₂²×D₄	1	4	yes	—
1155	C₂²×#41	C₂²×D₄	1	2	yes	—
1156	C₂²×#41	C₂²×D₄	1	2	yes	—
1157	C₂²×#41	C₂²×D₄	1	2	yes	—
1158	C₂²×#41	C₂⁵	1	1	yes	characteristic
1159	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
1160	C₂³×Q₈	C₂²×D₄	1	4	yes	—
1161	C₂³×Q₈	C₂²×D₄	1	2	yes	—
1162	C₂³×D₄	#120	1	2	yes	—
1163	C₂³×D₄	#120	1	2	yes	—
1164	C₂³×D₄	C₂²×D₄	1	4	yes	—
1165	C₂³×D₄	C₂²×D₄	1	4	yes	—
1166	C₂³×D₄	C₂²×D₄	1	2	yes	—
1167	C₂³×D₄	C₂²×D₄	1	2	yes	—
1168	C₂³×D₄	C₂²×D₄	1	2	yes	—
1169	C₂³×D₄	C₂²×D₄	1	2	yes	—
1170	C₂³×D₄	C₂²×D₄	1	2	yes	—
1171	C₂³×D₄	C₂²×D₄	1	2	yes	—
1172	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1173	C₂³×D₄	C₂²×D₄	1	4	yes	—
1174	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
1175	C₂³×D₄	C₂²×D₄	1	4	yes	—
1176	C₂³×D₄	C₂²×D₄	1	4	yes	—
1177	C₂³×D₄	C₂²×D₄	1	2	yes	—
1178	C₂³×D₄	C₂⁵	1	4	yes	—
1179	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
1180	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
1181	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
1182	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
1183	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
1184	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
1185	C₂×C₄⋊Q₈	#120	1	1	yes	characteristic
1186	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1187	C₂×C₄⋊Q₈	C₂²×D₄	1	1	yes	characteristic
1188	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1189	C₂×#127	#120	1	1	yes	characteristic
1190	C₂×#127	#120	1	2	yes	—
1191	C₂×#127	#120	1	2	yes	—
1192	C₂×#127	#120	1	2	yes	—
1193	C₂×#127	#120	1	1	yes	characteristic
1194	C₂×#127	#120	1	2	yes	—
1195	C₂×#127	#120	1	2	yes	—
1196	C₂×#127	#120	1	2	yes	—
1197	C₂×#127	#120	1	2	yes	—
1198	C₂×#127	#120	1	1	yes	characteristic
1199	C₂×#127	C₂²×D₄	1	4	yes	—
1200	C₂×#127	C₂²×D₄	1	1	yes	characteristic
1201	C₂×#127	C₂²×D₄	1	2	yes	—
1202	C₂×#127	C₂²×D₄	1	2	yes	—
1203	C₂×#127	C₂²×D₄	1	4	yes	—
1204	C₂×#127	C₂⁵	1	2	yes	—
1205	C₂×#124	#120	1	2	yes	—
1206	C₂×#124	#120	1	2	yes	—
1207	C₂×#124	#120	1	2	yes	—
1208	C₂×#124	C₂²×D₄	1	4	yes	—
1209	C₂×#124	C₂²×D₄	1	4	yes	—
1210	C₂×#124	C₂²×D₄	1	2	yes	—
1211	C₂×#124	C₂²×D₄	1	2	yes	—
1212	C₂×#124	C₂²×D₄	1	4	yes	—
1213	C₂×#124	C₂²×D₄	1	4	yes	—
1214	C₂×#124	C₂⁵	1	2	yes	—
1215	C₂×#124	C₂⁵	1	2	yes	—
1216	C₂×#123	C₂²×D₄	1	4	yes	—
1217	C₂×#123	C₂²×D₄	1	2	yes	—
1218	C₂×#123	C₂²×D₄	1	1	yes	characteristic
1219	C₂×#123	C₂²×D₄	1	4	yes	—
1220	C₂×#123	C₂²×D₄	1	4	yes	—
1221	C₂×#123	C₂⁵	1	2	yes	—
1222	C₂×#123	C₂⁵	1	1	yes	characteristic
1223	C₂×C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1224	C₂×#121	#120	1	2	yes	—
1225	C₂×#121	#120	1	2	yes	—
1226	C₂×#121	#120	1	4	yes	—
1227	C₂×#121	#120	1	4	yes	—
1228	C₂×#121	#120	1	4	yes	—
1229	C₂×#121	#120	1	4	yes	—
1230	C₂×#121	C₂²×D₄	1	4	yes	—
1231	C₂×#121	C₂²×D₄	1	2	yes	—
1232	C₂×#121	C₂²×D₄	1	2	yes	—
1233	C₂×#121	C₂²×D₄	1	2	yes	—
1234	C₂×#121	C₂²×D₄	1	2	yes	—
1235	C₂×#121	C₂²×D₄	1	4	yes	—
1236	C₂×#121	C₂²×D₄	1	4	yes	—
1237	C₂×#120	#120	1	4	yes	—
1238	C₂×#120	#120	1	4	yes	—
1239	C₂×#120	C₂²×D₄	1	2	yes	—
1240	C₂×#120	C₂²×D₄	1	4	yes	—
1241	C₂×#120	C₂²×D₄	1	4	yes	—
1242	C₂×#120	C₂²×D₄	1	2	yes	—
1243	C₂×#120	C₂²×D₄	1	4	yes	—
1244	C₂×#120	C₂²×D₄	1	1	yes	characteristic
1245	C₂×#120	C₂²×D₄	1	4	yes	—
1246	C₂×#120	C₂²×D₄	1	4	yes	—
1247	C₂×#120	C₂²×D₄	1	4	yes	—
1248	C₂×#120	C₂²×D₄	1	4	yes	—
1249	C₂×#120	C₂²×D₄	1	4	yes	—
1250	C₂×#120	C₂²×D₄	1	4	yes	—
1251	C₂×#120	C₂⁵	1	2	yes	—
1252	C₂×#120	C₂⁵	1	2	yes	—
1253	C₂×#120	C₂⁵	1	1	yes	characteristic
1254	#518	C₂⁵	1	2	yes	—
1255	#518	C₂⁵	1	2	yes	—
1256	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1257	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
1258	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1259	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1260	C₂×C₄×D₄	#120	1	2	yes	—
1261	C₂×C₄×D₄	#120	1	2	yes	—
1262	C₂×C₄×D₄	#120	1	2	yes	—
1263	C₂×C₄×D₄	#120	1	2	yes	—
1264	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1265	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1266	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1267	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1268	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1269	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1270	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1271	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1272	C₂×#117	C₂²×D₄	1	2	yes	—
1273	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1274	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1275	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1276	C₂×#117	C₂²×D₄	1	2	yes	—
1277	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1278	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1279	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1280	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1281	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1282	C₂×#117	C₂²×D₄	1	4	yes	—
1283	C₂×#117	C₂²×D₄	1	1	yes	characteristic
1284	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1285	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1286	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1287	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1288	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1289	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1290	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1291	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1292	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1293	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1294	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1295	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1296	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1297	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1298	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1299	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1300	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1301	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1302	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1303	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1304	C₂²×C₄²	C₂²×D₄	1	4	yes	—
1305	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1306	C₂×#100	C₂⁵	1	2	yes	—
1307	C₂×#100	C₂⁵	1	4	yes	—
1308	C₂×#100	C₂⁵	1	2	yes	—
1309	C₂×#99	C₂⁵	1	2	yes	—
1310	C₂×#99	C₂⁵	1	2	yes	—
1311	C₂×#99	C₂⁵	1	2	yes	—
1312	C₂×#99	C₂⁵	1	2	yes	—
1313	C₂×#99	C₂⁵	1	2	yes	—
1314	C₂×#99	C₂⁵	1	4	yes	—
1315	C₂×#99	C₂⁵	1	2	yes	—
1316	#391	C₂²×D₄	1	2	yes	—
1317	#391	C₂²×D₄	1	2	yes	—
1318	#391	C₂²×D₄	1	2	yes	—
1319	#391	C₂²×D₄	1	2	yes	—
1320	#391	C₂²×D₄	1	2	yes	—
1321	#390	C₂²×D₄	1	4	yes	—
1322	#390	C₂²×D₄	1	4	yes	—
1323	#390	C₂²×D₄	1	2	yes	—
1324	#390	C₂²×D₄	1	2	yes	—
1325	#390	C₂⁵	1	2	yes	—
1326	#386	C₂²×D₄	1	1	yes	characteristic
1327	#386	C₂²×D₄	1	4	yes	—
1328	#386	C₂²×D₄	1	4	yes	—
1329	#386	C₂²×D₄	1	4	yes	—
1330	#386	C₂²×D₄	1	4	yes	—
1331	#386	C₂²×D₄	1	4	yes	—
1332	#386	C₂²×D₄	1	4	yes	—
1333	#386	C₂²×D₄	1	4	yes	—
1334	#386	C₂²×D₄	1	4	yes	—
1335	#386	C₂²×D₄	1	2	yes	—
1336	#386	C₂²×D₄	1	4	yes	—
1337	#386	C₂²×D₄	1	1	yes	characteristic
1338	#386	C₂⁵	1	1	yes	characteristic
1339	#386	C₂⁵	1	4	yes	—
1340	#386	C₂⁵	1	2	yes	—
1341	#386	C₂⁵	1	1	yes	characteristic
1342	#385	C₂²×D₄	1	2	yes	—
1343	#385	C₂²×D₄	1	2	yes	—
1344	#385	C₂²×D₄	1	4	yes	—
1345	#385	C₂²×D₄	1	4	yes	—
1346	#385	C₂²×D₄	1	1	yes	characteristic
1347	#385	C₂²×D₄	1	1	yes	characteristic
1348	#385	C₂²×D₄	1	1	yes	characteristic
1349	#385	C₂²×D₄	1	1	yes	characteristic
1350	#384	C₂²×D₄	1	2	yes	—
1351	#382	C₂²×D₄	1	2	yes	—
1352	#381	C₂²×D₄	1	1	yes	characteristic
1353	#381	C₂²×D₄	1	1	yes	characteristic
1354	#381	C₂²×D₄	1	2	yes	—
1355	#381	C₂²×D₄	1	2	yes	—
1356	#380	C₂²×D₄	1	1	yes	characteristic
1357	#380	C₂²×D₄	1	1	yes	characteristic
1358	#380	C₂²×D₄	1	2	yes	—
1359	#380	C₂²×D₄	1	2	yes	—
1360	#380	C₂²×D₄	1	2	yes	—
1361	#379	C₂²×D₄	1	2	yes	—
1362	#379	C₂²×D₄	1	2	yes	—
1363	#379	C₂²×D₄	1	2	yes	—
1364	#379	C₂²×D₄	1	4	yes	—
1365	#379	C₂²×D₄	1	4	yes	—
1366	#379	C₂²×D₄	1	4	yes	—
1367	#379	C₂²×D₄	1	4	yes	—
1368	#379	C₂²×D₄	1	2	yes	—
1369	#379	C₂²×D₄	1	1	yes	characteristic
1370	#379	C₂²×D₄	1	1	yes	characteristic
1371	C₄×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1372	C₄×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1373	C₄×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1374	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1375	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1376	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1377	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1378	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1379	C₄×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1380	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1381	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1382	#376	C₂²×D₄	1	2	yes	—
1383	C₄³	C₂²×D₄	1	2	yes	—
1384	C₂⁵	C₂×#120	1	4	yes	—
1385	C₂⁵	C₂³×D₄	1	4	yes	—
1386	C₂⁵	C₂³×D₄	1	4	yes	—
1387	C₂⁵	C₂³×D₄	1	2	yes	—
1388	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1389	C₂⁵	C₂³×D₄	1	2	yes	—
1390	C₂²×Q₈	C₂×#120	1	2	yes	—
1391	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1392	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1393	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1394	C₂²×D₄	C₂×#120	1	2	yes	—
1395	C₂²×D₄	C₂×#120	1	4	yes	—
1396	C₂²×D₄	C₂×#120	1	2	yes	—
1397	C₂²×D₄	C₂×#120	1	2	yes	—
1398	C₂²×D₄	C₂×#120	1	4	yes	—
1399	C₂²×D₄	C₂×#120	1	2	yes	—
1400	C₂²×D₄	C₂×#120	1	4	yes	—
1401	C₂²×D₄	C₂×#120	1	2	yes	—
1402	C₂²×D₄	C₂×#120	1	4	yes	—
1403	C₂²×D₄	C₂×#120	1	4	yes	—
1404	C₂²×D₄	C₂×#120	1	2	yes	—
1405	C₂²×D₄	C₂×#120	1	4	yes	—
1406	C₂²×D₄	C₂×#120	1	4	yes	—
1407	C₂²×D₄	C₂×#120	1	2	yes	—
1408	C₂²×D₄	C₂×#120	1	2	yes	—
1409	C₂²×D₄	C₂×#120	1	4	yes	—
1410	C₂²×D₄	C₂×#120	1	4	yes	—
1411	C₂²×D₄	C₂×#120	1	2	yes	—
1412	C₂²×D₄	C₂³×D₄	1	2	yes	—
1413	C₂²×D₄	C₂³×D₄	1	4	yes	—
1414	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1415	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1416	C₂²×D₄	C₂³×D₄	1	4	yes	—
1417	C₂²×D₄	C₂³×D₄	1	4	yes	—
1418	C₂²×D₄	C₂⁶	1	1	yes	characteristic
1419	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1420	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1421	C₂³×C₄	C₂×#120	1	4	yes	—
1422	C₂³×C₄	C₂×#120	1	4	yes	—
1423	C₂³×C₄	C₂³×D₄	1	4	yes	—
1424	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1425	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1426	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1427	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1428	C₂³×C₄	C₂³×D₄	1	2	yes	—
1429	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1430	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1431	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1432	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1433	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1434	C₂³×C₄	C₂³×D₄	1	2	yes	—
1435	C₂³×C₄	C₂³×D₄	1	4	yes	—
1436	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1437	#127	B(4,𝔽₂)	1	2	yes	—
1438	#127	B(4,𝔽₂)	1	2	yes	—
1439	#127	B(4,𝔽₂)	1	1	yes	characteristic
1440	#127	B(4,𝔽₂)	1	1	yes	characteristic
1441	#127	B(4,𝔽₂)	1	2	yes	—
1442	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1443	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1444	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1445	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1446	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1447	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1448	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1449	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1450	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1451	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1452	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1453	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1454	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1455	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1456	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1457	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1458	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
1459	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1460	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1461	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1462	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1463	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1464	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1465	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1466	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1467	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1468	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1469	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1470	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1471	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1472	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1473	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1474	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1475	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1476	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1477	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1478	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1479	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1480	C₂×C₄²	C₂³×D₄	1	2	yes	—
1481	C₂×C₄²	C₂³×D₄	1	2	yes	—
1482	C₂×C₄²	C₂³×D₄	1	2	yes	—
1483	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1484	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1485	C₂×C₄²	C₂³×D₄	1	2	yes	—
1486	C₂⁴	C₂²×#120	1	4	yes	—
1487	C₂⁴	C₂²×#120	1	4	yes	—
1488	C₂⁴	C₂²×#120	1	1	yes	characteristic
1489	C₂⁴	C₂²×#120	1	4	yes	—
1490	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1491	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1492	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1493	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1494	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1495	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1496	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1497	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1498	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1499	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1500	C₂×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
1501	C₂×D₄	H(7,𝔽₂)	1	2	yes	—
1502	C₂×D₄	H(7,𝔽₂)	1	2	yes	—
1503	C₂²×C₄	C₂²×#120	1	4	yes	—
1504	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1505	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1506	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1507	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1508	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1509	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1510	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1511	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1512	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1513	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1514	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1515	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1516	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1517	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1518	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1519	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1520	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1521	C₂³	C₂²×B(4,𝔽₂)	1	4	yes	—
1522	C₂³	C₂³×#120	1	1	yes	characteristic
1523	C₂³	#62842	1	2	yes	—
1524	C₂³	#62852	1	1	yes	characteristic
1525	C₂³	#62852	1	1	yes	characteristic
1526	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1527	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1528	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1529	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1530	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1531	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1532	C₂×C₄	#62842	1	2	yes	—
1533	C₂²	#7630668	1	1	yes	characteristic
1534	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1535	C₂²	#10574873	1	1	yes	characteristic
1536	C₄	#7622881	1	2	yes	—
1537	C₂	#72234840	1	1	yes	characteristic
1538	C₂	#72251278	1	1	yes	characteristic
1539	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. #72319852	C₂	semidirect
2. #72319820	C₂	semidirect
3. #72319786	C₂	semidirect
4. #72319681	C₂	semidirect
5. #72319362	C₂	semidirect
6. #72319192	C₂	semidirect
7. #72319179	C₂	semidirect
8. #72318954	C₂	semidirect
9. #72318798	C₂	semidirect
10. #72318579	C₂	semidirect
11. #72318565	C₂	semidirect
12. #72318283	C₂	semidirect
13. #72318155	C₂	semidirect
14. #72318134	C₂	semidirect
15. #72318088	C₂	semidirect
16. #72318079	C₂	semidirect
17. #72318060	C₂	semidirect
18. #72317718	C₂	semidirect
19. #72317670	C₂	semidirect
20. #72317502	C₂	semidirect
21. #72317500	C₂	semidirect
22. #72317492	C₂	semidirect
23. #72317485	C₂	semidirect
24. #72317448	C₂	semidirect
25. #72312151	C₂	semidirect
26. #72312038	C₂	semidirect
27. #72311460	C₂	semidirect
28. #72311373	C₂	semidirect
29. #72311356	C₂	semidirect
30. #72303233	C₂	semidirect
31. #72236574	C₂	semidirect
32. #10586617	C₂²	semidirect
33. #9715472	C₂²	semidirect
34. #8699281	C₂²	semidirect
35. #8698894	C₂²	semidirect
36. #8695337	C₂²	semidirect
37. #8496902	C₂²	semidirect
38. #7842457	C₂²	semidirect
39. #7784317	C₂²	semidirect
40. #7782133	C₂²	semidirect
41. #7739265	C₂²	semidirect
42. #7737955	C₂²	semidirect
43. #7696675	C₂²	semidirect
47. #7665869	C₂²	semidirect
48. #7660929	C₂²	semidirect
49. #7634841	C₂²	semidirect
50. #6596199	C₂²	semidirect
51. #6596198	C₂²	semidirect
52. #6596185	C₂²	semidirect
53. #6596184	C₂²	semidirect
54. #6595786	C₂²	semidirect
55. #6595778	C₂²	semidirect
57. #6595646	C₂²	semidirect
58. #6595632	C₂²	semidirect
59. #6595618	C₂²	semidirect
60. #6591517	C₂²	semidirect
61. #6591514	C₂²	semidirect
62. #6591503	C₂²	semidirect
63. #6591500	C₂²	semidirect
64. #6573723	C₂²	semidirect
65. #6573715	C₂²	semidirect
67. #6573693	C₂²	semidirect
68. #6573679	C₂²	semidirect
69. D₄×#455	C₂²	semidirect
70. #6496270	C₂²	semidirect
71. #6496269	C₂²	semidirect
74. #6490940	C₂²	semidirect
75. #6490936	C₂²	semidirect
76. #6470233	C₂²	semidirect
77. #6470233	C₂²	semidirect
78. #6470048	C₂²	semidirect
79. #6454051	C₂²	semidirect
80. #6454045	C₂²	semidirect
81. #6454043	C₂²	semidirect
82. #6454043	C₂²	semidirect
83. #6453849	C₂²	semidirect
84. #6453837	C₂²	semidirect
85. #6440464	C₂²	semidirect
86. #6437632	C₂²	semidirect
87. #6437457	C₂²	semidirect
88. #6385998	C₂²	semidirect
89. #6385980	C₂²	semidirect
90. #6385980	C₂²	semidirect
91. #512153	C₂²	semidirect
92. #512153	C₂²	semidirect
93. #512125	C₂²	semidirect
94. #512125	C₂²	semidirect
95. #511774	C₂²	semidirect
96. #511774	C₂²	semidirect
97. #508263	C₂²	semidirect
98. #508260	C₂²	semidirect
99. #508250	C₂²	semidirect
100. #508249	C₂²	semidirect
101. #508207	C₂²	semidirect
102. #508204	C₂²	semidirect
103. #508194	C₂²	semidirect
104. #508193	C₂²	semidirect
105. #508142	C₂²	semidirect
106. #508142	C₂²	semidirect
107. #508101	C₂²	semidirect
108. #508101	C₂²	semidirect
109. #508099	C₂²	semidirect
110. #508099	C₂²	semidirect
111. #508098	C₂²	semidirect
112. #508098	C₂²	semidirect
113. #508098	C₂²	semidirect
114. #508098	C₂²	semidirect
115. #508095	C₂²	semidirect
116. #508095	C₂²	semidirect
117. #508093	C₂²	semidirect
118. #508093	C₂²	semidirect
119. #508092	C₂²	semidirect
120. #508092	C₂²	semidirect
121. #508090	C₂²	semidirect
122. #508090	C₂²	semidirect
123. #508087	C₂²	semidirect
124. #508087	C₂²	semidirect
125. #508068	C₂²	semidirect
126. #508068	C₂²	semidirect
127. #503449	C₂²	semidirect
128. #503448	C₂²	semidirect
129. #503447	C₂²	semidirect
130. #503446	C₂²	semidirect
131. #503445	C₂²	semidirect
132. #503444	C₂²	semidirect
133. #503187	C₂²	semidirect
134. #503186	C₂²	semidirect
135. #503185	C₂²	semidirect
136. #503184	C₂²	semidirect
137. #503183	C₂²	semidirect
138. #503182	C₂²	semidirect
139. #503012	C₂²	semidirect
140. #503002	C₂²	semidirect
141. #502976	C₂²	semidirect
142. #502969	C₂²	semidirect
143. #502962	C₂²	semidirect
144. #502955	C₂²	semidirect
145. #502835	C₂²	semidirect
146. #502825	C₂²	semidirect
147. #502798	C₂²	semidirect
148. #502791	C₂²	semidirect
149. #502789	C₂²	semidirect
150. #502780	C₂²	semidirect
151. #502729	C₂²	semidirect
152. #502729	C₂²	semidirect
153. #502723	C₂²	semidirect
154. #502723	C₂²	semidirect
155. #502709	C₂²	semidirect
156. #502709	C₂²	semidirect
157. #502703	C₂²	semidirect
158. #502703	C₂²	semidirect
159. #501175	C₂²	semidirect
160. #501175	C₂²	semidirect
161. #501173	C₂²	semidirect
162. #501173	C₂²	semidirect
163. #501158	C₂²	semidirect
164. #501158	C₂²	semidirect
165. #501156	C₂²	semidirect
166. #501156	C₂²	semidirect
167. #501099	C₂²	semidirect
168. #501099	C₂²	semidirect
169. #501097	C₂²	semidirect
170. #501097	C₂²	semidirect
171. #501089	C₂²	semidirect
172. #501089	C₂²	semidirect
173. #501089	C₂²	semidirect
174. #501089	C₂²	semidirect
175. #500762	C₂²	semidirect
176. #500761	C₂²	semidirect
177. #500760	C₂²	semidirect
178. #500759	C₂²	semidirect
179. #500758	C₂²	semidirect
180. #500757	C₂²	semidirect
181. #500544	C₂²	semidirect
182. #500544	C₂²	semidirect
183. #500534	C₂²	semidirect
184. #500534	C₂²	semidirect
185. #500507	C₂²	semidirect
186. #500507	C₂²	semidirect
187. #500500	C₂²	semidirect
188. #500500	C₂²	semidirect
189. #500498	C₂²	semidirect
190. #500498	C₂²	semidirect
191. #500489	C₂²	semidirect
192. #500489	C₂²	semidirect
193. #500425	C₂²	semidirect
194. #500419	C₂²	semidirect
195. #500405	C₂²	semidirect
196. #500399	C₂²	semidirect
197. #500230	C₂²	semidirect
198. #500226	C₂²	semidirect
199. #500222	C₂²	semidirect
200. #500218	C₂²	semidirect
201. #500178	C₂²	semidirect
202. #500177	C₂²	semidirect
203. #500172	C₂²	semidirect
204. #500172	C₂²	semidirect
205. #500077	C₂²	semidirect
206. #500071	C₂²	semidirect
207. #500057	C₂²	semidirect
208. #500051	C₂²	semidirect
209. #499848	C₂²	semidirect
210. #499848	C₂²	semidirect
211. #499834	C₂²	semidirect
212. #499832	C₂²	semidirect
213. #499809	C₂²	semidirect
214. #499807	C₂²	semidirect
215. #499789	C₂²	semidirect
216. #499787	C₂²	semidirect
217. #499296	C₂²	semidirect
218. #499293	C₂²	semidirect
219. #499283	C₂²	semidirect
220. #499283	C₂²	semidirect
221. #499282	C₂²	semidirect
222. #499282	C₂²	semidirect
223. #499141	C₂²	semidirect
224. #499137	C₂²	semidirect
225. #499134	C₂²	semidirect
226. C₂×#13424	C₂²	semidirect
227. #498931	C₂²	semidirect
228. #498927	C₂²	semidirect
229. #498924	C₂²	semidirect
230. C₂×#13348	C₂²	semidirect
231. #497486	C₂²	semidirect
232. #497484	C₂²	semidirect
233. #497484	C₂²	semidirect
234. #497480	C₂²	semidirect
235. #497480	C₂²	semidirect
236. #497478	C₂²	semidirect
237. #497363	C₂²	semidirect
238. #497363	C₂²	semidirect
239. #497353	C₂²	semidirect
240. #497353	C₂²	semidirect
241. #497307	C₂²	semidirect
242. #497307	C₂²	semidirect
243. D₄×#354	C₂²	semidirect
244. D₄×#354	C₂²	semidirect
245. #497293	C₂²	semidirect
246. #497293	C₂²	semidirect
247. D₄×AΣL(1,𝔽₁₆)	C₂²	semidirect
248. D₄×AΣL(1,𝔽₁₆)	C₂²	semidirect
249. #496420	C₂²	semidirect
250. #496419	C₂²	semidirect
251. #496334	C₂²	semidirect
252. #496332	C₂²	semidirect
253. #496309	C₂²	semidirect
254. #496309	C₂²	semidirect
255. #496239	C₂²	semidirect
256. #496239	C₂²	semidirect
257. #496200	C₂²	semidirect
258. #494009	C₂²	semidirect
259. #494006	C₂²	semidirect
260. #493997	C₂²	semidirect
261. #493997	C₂²	semidirect
262. #493974	C₂²	semidirect
263. #493967	C₂²	semidirect
264. #493858	C₂²	semidirect
265. #493433	C₂²	semidirect
266. #493424	C₂²	semidirect
274. C₂×#3497	D₄	semidirect
279. C₂²×D₄²	D₄	semidirect
280. C₂²×#532	D₄	semidirect
313. #39363	D₄	semidirect
315. #39338	D₄	semidirect
317. #38906	D₄	semidirect
319. #38904	D₄	semidirect
321. #37683	D₄	semidirect
323. #37644	D₄	semidirect
336. #36624	D₄	semidirect
337. #36236	D₄	semidirect
339. #36212	D₄	semidirect
341. #36128	D₄	semidirect
343. D₄×#120	D₄	semidirect
345. #35676	D₄	semidirect
346. #35514	D₄	semidirect
347. #35514	D₄	semidirect
351. #35289	D₄	semidirect
353. #35274	D₄	semidirect
354. #35256	D₄	semidirect
355. #35222	D₄	semidirect
356. #35165	D₄	semidirect
357. #35152	D₄	semidirect
359. #34936	D₄	semidirect
361. C₂×#2548	D₄	semidirect
365. #34210	D₄	semidirect
366. #34210	D₄	semidirect
367. #34141	D₄	semidirect
762. C₂²×2₋¹⁺⁴	C₂×D₄	semidirect
765. C₂³×#41	C₂×D₄	semidirect
781. C₂×#550	C₂×D₄	semidirect
782. C₂×D₄×Q₈	C₂×D₄	semidirect
783. C₂×#548	C₂×D₄	semidirect
791. C₂×#537	C₂×D₄	semidirect
792. C₂×#536	C₂×D₄	semidirect
798. C₂×#535	C₂×D₄	semidirect
799. C₂×#535	C₂×D₄	semidirect
807. C₂×#532	C₂×D₄	semidirect
808. C₂×#532	C₂×D₄	semidirect
810. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
814. C₂²×#124	C₂×D₄	semidirect
815. C₂²×#124	C₂×D₄	semidirect
819. C₂×#525	C₂×D₄	semidirect
824. C₂²×#121	C₂×D₄	semidirect
825. C₂²×#121	C₂×D₄	semidirect
832. C₂×#518	C₂×D₄	semidirect
834. C₂×C₄×#41	C₂×D₄	semidirect
836. C₂²×C₄×Q₈	C₂×D₄	semidirect
839. C₂²×C₄×D₄	C₂×D₄	semidirect
840. C₂²×C₄×D₄	C₂×D₄	semidirect
841. C₂³×C₄²	C₂×D₄	semidirect
866. #2867	C₂×D₄	semidirect
867. #2858	C₂×D₄	semidirect
868. #2856	C₂×D₄	semidirect
869. #2854	C₂×D₄	semidirect
870. #2854	C₂×D₄	semidirect
871. #2850	C₂×D₄	semidirect
872. #2849	C₂×D₄	semidirect
873. #2849	C₂×D₄	semidirect
876. #2847	C₂×D₄	semidirect
877. #2847	C₂×D₄	semidirect
896. #2657	C₂×D₄	semidirect
897. #2622	C₂×D₄	semidirect
898. #2622	C₂×D₄	semidirect
899. #2620	C₂×D₄	semidirect
900. #2619	C₂×D₄	semidirect
904. #2548	C₂×D₄	semidirect
905. #2548	C₂×D₄	semidirect
906. #2548	C₂×D₄	semidirect
907. #2548	C₂×D₄	semidirect
909. #2546	C₂×D₄	semidirect
910. #2545	C₂×D₄	semidirect
916. #2504	C₂×D₄	semidirect
917. #2504	C₂×D₄	semidirect
919. #2487	C₂×D₄	semidirect
923. #2436	C₂×D₄	semidirect
924. #2436	C₂×D₄	semidirect
925. #2436	C₂×D₄	semidirect
926. #2436	C₂×D₄	semidirect
930. #2432	C₂×D₄	semidirect
931. #2431	C₂×D₄	semidirect
932. #2431	C₂×D₄	semidirect
933. #2431	C₂×D₄	semidirect
936. #2412	C₂×D₄	semidirect
937. #2412	C₂×D₄	semidirect
940. #2410	C₂×D₄	semidirect
941. #2410	C₂×D₄	semidirect
942. #2409	C₂×D₄	semidirect
947. #2405	C₂×D₄	semidirect
951. #2403	C₂×D₄	semidirect
961. D₄×C₂²⋊C₄	C₂×D₄	semidirect
962. D₄×C₂²⋊C₄	C₂×D₄	semidirect
963. D₄×C₂²⋊C₄	C₂×D₄	semidirect
964. D₄×C₂²⋊C₄	C₂×D₄	semidirect
965. #2327	C₂×D₄	semidirect
970. #2317	C₂×D₄	semidirect
971. #2317	C₂×D₄	semidirect
973. #2311	C₂×D₄	semidirect
974. #2311	C₂×D₄	semidirect
978. #2310	C₂×D₄	semidirect
981. #2309	C₂×D₄	semidirect
982. #2308	C₂×D₄	semidirect
984. C₄×C₄⋊Q₈	C₂×D₄	semidirect
986. C₄×#123	C₂×D₄	semidirect
987. C₄×#123	C₂×D₄	semidirect
991. C₄×#120	C₂×D₄	semidirect
992. C₄×#120	C₂×D₄	semidirect
996. #2297	C₂×D₄	semidirect
997. #2297	C₂×D₄	semidirect
998. #2297	C₂×D₄	semidirect
1000. #2296	C₂×D₄	semidirect
1001. #2293	C₂×D₄	semidirect
1002. C₂×#390	C₂×D₄	semidirect
1003. #2290	C₂×D₄	semidirect
1004. C₂×#386	C₂×D₄	semidirect
1007. #2285	C₂×D₄	semidirect
1009. #2280	C₂×D₄	semidirect
1010. C₄²×D₄	C₂×D₄	semidirect
1012. C₄×#117	C₂×D₄	semidirect
1013. C₄×#117	C₂×D₄	semidirect
1014. 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
#72319852	2
#72319820	2
#72319786	2
#72319681	2
#72319362	2
#72319192	2
#72319179	2
#72318954	2
#72318798	2
#72318579	2
#72318565	2
#72318283	2
#72318155	2
#72318134	2
#72318088	2
#72318079	2
#72318060	2
#72317718	2
#72317670	2
#72317502	2
#72317500	2
#72317492	2
#72317485	2
#72317448	2
#72312151	2
#72312038	2
#72311460	2
#72311373	2
#72311356	2
#72303233	2
#72236574	2