Subgroups — #72313107

Order 2048.

At least 14672 conjugacy classes of subgroups; only the 4048 normal subgroups are shown.

The subgroup lattice has 1349 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72313081	C₂	1	4	yes	maximal, complemented
2	#72312648	C₂	1	1	yes	maximal, characteristic, complemented
3	#72312553	C₂	1	1	yes	maximal, characteristic, complemented
4	#72312543	C₂	1	1	yes	maximal, characteristic, complemented
5	#72312491	C₂	1	4	yes	maximal, complemented
6	#72312452	C₂	1	4	yes	maximal, complemented
7	#72312302	C₂	1	4	yes	maximal, complemented
8	#72312191	C₂	1	2	yes	maximal, complemented
9	#72312177	C₂	1	2	yes	maximal, complemented
10	#72312161	C₂	1	4	yes	maximal, complemented
11	#72312140	C₂	1	4	yes	maximal, complemented
12	#72312031	C₂	1	4	yes	maximal, complemented
13	#72311642	C₂	1	2	yes	maximal, complemented
14	#72311167	C₂	1	8	yes	maximal, complemented
15	C₂×#6629390	C₂	1	1	yes	maximal, characteristic, complemented
16	#72284341	C₂	1	1	yes	maximal, characteristic, complemented
17	#72278409	C₂	1	4	yes	maximal, complemented
18	#72278320	C₂	1	4	yes	maximal, complemented
19	#72257824	C₂	1	1	yes	maximal, characteristic, complemented
20	#72257818	C₂	1	1	yes	maximal, characteristic, complemented
21	#72256395	C₂	1	4	yes	maximal, complemented
22	#72236596	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×#585	C₂²	1	1	yes	characteristic, complemented
24	#8195919	C₂²	1	2	yes	complemented
25	#8195905	C₂²	1	2	yes	complemented
26	#8195816	C₂²	1	1	yes	characteristic, complemented
27	#8195808	C₂²	1	1	yes	characteristic, complemented
28	#8195775	C₂²	1	1	yes	characteristic, complemented
29	#8195763	C₂²	1	1	yes	characteristic, complemented
30	#8193760	C₂²	1	4	yes	—
31	#8183788	C₂²	1	2	yes	complemented
32	#8181835	C₂²	1	2	yes	complemented
33	#7708115	C₂²	1	4	yes	complemented
34	#7702269	C₂²	1	2	yes	complemented
35	#7702220	C₂²	1	2	yes	complemented
36	#7666097	C₂²	1	2	yes	complemented
37	#7666076	C₂²	1	2	yes	complemented
38	#7628578	C₂²	1	1	yes	characteristic
39	#7628157	C₂²	1	1	yes	characteristic
40	C₂×#34963	C₂²	1	1	yes	characteristic
41	#6629391	C₂²	1	2	yes	complemented
42	#6629390	C₂²	1	2	yes	—
43	#6629390	C₂²	1	2	yes	complemented
44	#6629390	C₂²	1	2	yes	complemented
45	#6629390	C₂²	1	2	yes	complemented
46	#6629390	C₂²	1	2	yes	complemented
47	#6629390	C₂²	1	4	yes	complemented
48	#6629390	C₂²	1	4	yes	complemented
49	#6629389	C₂²	1	4	yes	complemented
50	#6629388	C₂²	1	4	yes	complemented
51	#6629387	C₂²	1	2	yes	complemented
52	#6629386	C₂²	1	2	yes	complemented
53	#6629373	C₂²	1	4	yes	complemented
54	#6629367	C₂²	1	4	yes	complemented
55	#6629364	C₂²	1	4	yes	complemented
56	#6629358	C₂²	1	4	yes	complemented
57	#6629257	C₂²	1	2	yes	complemented
58	C₂×#33021	C₂²	1	2	yes	complemented
59	#6629174	C₂²	1	2	yes	complemented
60	#6629119	C₂²	1	2	yes	complemented
61	C₂×#32976	C₂²	1	2	yes	complemented
62	#6629110	C₂²	1	2	yes	complemented
63	#6628982	C₂²	1	2	yes	complemented
64	C₂×#32926	C₂²	1	2	yes	complemented
65	#6628970	C₂²	1	2	yes	complemented
66	#6628891	C₂²	1	2	yes	complemented
67	C₂×#32899	C₂²	1	2	yes	complemented
68	#6628870	C₂²	1	2	yes	complemented
69	C₄×#3025	C₂²	1	4	yes	complemented
70	C₂×C₄×B(4,𝔽₂)	C₂²	1	4	yes	complemented
71	C₄×#3021	C₂²	1	4	yes	complemented
72	#6370950	C₂²	1	1	yes	characteristic, complemented
73	#6370937	C₂²	1	1	yes	characteristic, complemented
74	C₂×#20723	C₂²	1	1	yes	characteristic, complemented
75	#500967	C₂²	1	16	yes	complemented
76	#500952	C₂²	1	8	yes	complemented
77	#500950	C₂²	1	8	yes	complemented
78	#500943	C₂²	1	8	yes	complemented
79	#500942	C₂²	1	8	yes	complemented
80	#500781	C₂²	1	16	yes	complemented
81	#500768	C₂²	1	8	yes	complemented
82	#500765	C₂²	1	8	yes	complemented
83	#500757	C₂²	1	8	yes	complemented
84	#500757	C₂²	1	8	yes	complemented
85	#500532	C₂²	1	16	yes	complemented
86	#500531	C₂²	1	16	yes	complemented
87	#500507	C₂²	1	8	yes	complemented
88	#500507	C₂²	1	8	yes	complemented
89	#500501	C₂²	1	8	yes	complemented
90	#500499	C₂²	1	8	yes	complemented
91	#500484	C₂²	1	8	yes	complemented
92	#500483	C₂²	1	8	yes	complemented
93	#500477	C₂²	1	8	yes	complemented
94	#500475	C₂²	1	8	yes	complemented
95	#500419	C₂²	1	8	yes	complemented
96	#500414	C₂²	1	8	yes	complemented
97	#500398	C₂²	1	8	yes	complemented
98	#500397	C₂²	1	8	yes	complemented
99	#500384	C₂²	1	8	yes	complemented
100	#500382	C₂²	1	8	yes	complemented
101	#500238	C₂²	1	8	yes	complemented
102	#500235	C₂²	1	8	yes	complemented
103	#500221	C₂²	1	8	yes	complemented
104	#500218	C₂²	1	8	yes	complemented
105	#500191	C₂²	1	8	yes	complemented
106	#500179	C₂²	1	8	yes	complemented
107	#500071	C₂²	1	8	yes	complemented
108	#500066	C₂²	1	8	yes	complemented
109	#500050	C₂²	1	8	yes	complemented
110	#500049	C₂²	1	8	yes	complemented
111	#500036	C₂²	1	8	yes	complemented
112	#500034	C₂²	1	8	yes	complemented
113	#499837	C₂²	1	8	yes	complemented
114	#499831	C₂²	1	8	yes	complemented
115	#499799	C₂²	1	8	yes	complemented
116	#499797	C₂²	1	8	yes	complemented
117	#499788	C₂²	1	8	yes	complemented
118	#499787	C₂²	1	8	yes	complemented
119	#499284	C₂²	1	16	yes	complemented
120	#499281	C₂²	1	16	yes	complemented
121	#496537	C₂²	1	4	yes	complemented
122	#496535	C₂²	1	4	yes	complemented
123	#496520	C₂²	1	4	yes	complemented
124	#496518	C₂²	1	4	yes	complemented
125	#496509	C₂²	1	2	yes	complemented
126	#496508	C₂²	1	2	yes	complemented
127	#496508	C₂²	1	2	yes	complemented
128	#496508	C₂²	1	2	yes	complemented
129	#496417	C₂²	1	2	yes	complemented
130	#496414	C₂²	1	2	yes	complemented
131	#496398	C₂²	1	2	yes	complemented
132	#496334	C₂²	1	2	yes	complemented
133	#496330	C₂²	1	2	yes	complemented
134	#496311	C₂²	1	2	yes	complemented
135	#496230	C₂²	1	4	yes	complemented
136	#496228	C₂²	1	4	yes	complemented
137	#496196	C₂²	1	4	yes	complemented
138	C₄×#2200	C₂²	1	16	yes	complemented
139	C₄×#2196	C₂²	1	16	yes	complemented
140	#495603	C₂²	1	4	yes	complemented
141	#495599	C₂²	1	4	yes	complemented
142	#495592	C₂²	1	2	yes	complemented
143	#495592	C₂²	1	2	yes	complemented
144	#495588	C₂²	1	2	yes	complemented
145	#495587	C₂²	1	2	yes	complemented
146	#495580	C₂²	1	4	yes	complemented
147	#495577	C₂²	1	4	yes	complemented
148	#493997	C₂²	1	4	yes	complemented
149	#493995	C₂²	1	4	yes	complemented
150	#493966	C₂²	1	4	yes	complemented
151	C₂²×#585	C₂³	1	1	yes	characteristic
152	C₂²×#532	D₄	1	1	yes	characteristic, complemented
153	C₄×#585	C₂³	1	2	yes	—
154	C₄×#585	C₂³	1	2	yes	—
155	C₄×#585	C₂³	1	2	yes	—
156	C₄×#585	C₂³	1	2	yes	—
157	C₂×C₄×H(5,𝔽₂)	C₂³	1	2	yes	—
158	C₂×C₄×H(5,𝔽₂)	C₂³	1	2	yes	—
159	C₂×#3428	C₂³	1	1	yes	characteristic
160	C₂²×C₄×#41	D₄	1	1	yes	characteristic, complemented
161	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
162	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
163	C₂×#3025	C₂³	1	4	yes	—
164	C₂²×B(4,𝔽₂)	C₂³	1	4	yes	—
165	C₂×#3021	C₂³	1	4	yes	—
166	#60034	C₂³	1	4	yes	—
167	#59632	C₂³	1	2	yes	complemented
168	#59378	C₂³	1	2	yes	complemented
169	#59199	C₂³	1	2	yes	complemented
170	#59089	C₂³	1	4	yes	—
171	#59001	C₂³	1	2	yes	complemented
172	#59000	C₂³	1	2	yes	complemented
173	#58998	C₂³	1	2	yes	complemented
174	#58997	C₂³	1	2	yes	complemented
175	#58997	C₂³	1	2	yes	complemented
176	#58992	C₂³	1	4	yes	—
177	#58990	C₂³	1	4	yes	—
178	#52293	C₂³	1	4	yes	complemented
179	#52103	C₂³	1	4	yes	complemented
180	#52039	C₂³	1	4	yes	complemented
181	#52031	C₂³	1	4	yes	complemented
182	#52013	C₂³	1	4	yes	—
183	#52004	C₂³	1	4	yes	—
184	#52003	C₂³	1	4	yes	complemented
185	#51966	C₂³	1	4	yes	complemented
186	#51815	C₂³	1	4	yes	—
187	#51629	C₂³	1	4	yes	—
188	#45741	C₂³	1	4	yes	—
189	#45645	C₂³	1	2	yes	complemented
190	#45622	C₂³	1	2	yes	complemented
191	#45599	C₂³	1	2	yes	complemented
192	#45599	C₂³	1	2	yes	complemented
193	#45537	C₂³	1	4	yes	—
194	#45502	C₂³	1	2	yes	complemented
195	#45493	C₂³	1	2	yes	complemented
196	#45487	C₂³	1	2	yes	complemented
197	#45478	C₂³	1	2	yes	complemented
198	#45452	C₂³	1	4	yes	—
199	#45438	C₂³	1	4	yes	—
200	#35279	D₄	1	1	yes	characteristic, complemented
201	#35279	C₂³	1	1	yes	characteristic
202	#35272	D₄	1	1	yes	characteristic, complemented
203	#35272	C₂³	1	1	yes	characteristic
204	#35262	D₄	1	2	yes	complemented
205	#35250	C₂³	1	2	yes	—
206	#35249	D₄	1	2	yes	complemented
207	#35237	C₂³	1	2	yes	—
208	#35190	D₄	1	2	yes	complemented
209	#35190	C₂³	1	2	yes	—
210	#34977	D₄	1	2	yes	complemented
211	#34977	C₂³	1	2	yes	—
212	#34971	D₄	1	1	yes	characteristic, complemented
213	#34971	C₂³	1	1	yes	characteristic
214	#34963	D₄	1	1	yes	characteristic, complemented
215	#34963	D₄	1	2	yes	complemented
216	#34963	D₄	1	1	yes	characteristic, complemented
217	#34963	D₄	1	1	yes	characteristic, complemented
218	#34963	D₄	1	1	yes	characteristic, complemented
219	#34963	D₄	1	2	yes	complemented
220	#34963	D₄	1	1	yes	characteristic, complemented
221	#34963	C₂³	1	1	yes	characteristic
222	#34963	C₂³	1	2	yes	—
223	#34963	C₂³	1	1	yes	characteristic
224	#34963	C₂³	1	1	yes	characteristic
225	#34963	C₂³	1	1	yes	characteristic
226	#34963	C₂³	1	2	yes	—
227	#34963	C₂³	1	1	yes	characteristic
228	#34956	D₄	1	2	yes	complemented
229	#34956	C₂³	1	2	yes	—
230	#34955	D₄	1	2	yes	complemented
231	#34952	D₄	1	1	yes	characteristic, complemented
232	#34952	C₂³	1	1	yes	characteristic
233	#34936	C₂³	1	2	yes	—
234	#34935	D₄	1	1	yes	characteristic, complemented
235	#34935	C₂³	1	1	yes	characteristic
236	#34875	D₄	1	2	yes	complemented
237	#34875	C₂³	1	2	yes	—
238	#34809	D₄	1	1	yes	characteristic, complemented
239	#34809	D₄	1	2	yes	complemented
240	#34809	C₂³	1	1	yes	characteristic
241	C₂×#2482	D₄	1	2	yes	complemented
242	C₂×#2487	D₄	1	1	yes	characteristic, complemented
243	C₂×#2487	C₂³	1	1	yes	characteristic
244	#34736	D₄	1	1	yes	characteristic, complemented
245	#34736	C₂³	1	1	yes	characteristic
246	#34736	C₂³	1	2	yes	—
247	C₂×#2404	C₂³	1	2	yes	—
248	C₂×#2408	D₄	1	1	yes	characteristic, complemented
249	C₂×#2408	C₂³	1	1	yes	characteristic
250	C₄×#560	C₂³	1	4	yes	complemented
251	C₄×D₄²	C₂³	1	4	yes	complemented
252	C₄×#535	D₄	1	2	yes	complemented
253	C₄×#535	C₂³	1	2	yes	—
254	C₄×#525	D₄	1	2	yes	complemented
255	C₄×#525	C₂³	1	2	yes	—
256	C₂×C₄×#120	D₄	1	2	yes	complemented
257	C₂×C₄×#120	C₂³	1	2	yes	—
258	#34012	D₄	1	1	yes	characteristic, complemented
259	#34012	D₄	1	1	yes	characteristic, complemented
260	C₂×#2283	D₄	1	1	yes	characteristic, complemented
261	C₂×#2200	C₂³	1	16	yes	—
262	C₂×#2196	C₂³	1	16	yes	—
263	#33023	C₂³	1	4	yes	—
264	#33022	C₂³	1	4	yes	—
265	#33021	C₂³	1	4	yes	—
266	#33021	C₂³	1	4	yes	—
267	#33021	C₂³	1	4	yes	—
268	#33021	C₂³	1	4	yes	—
269	#33021	C₂³	1	4	yes	—
270	#33020	C₂³	1	4	yes	—
271	#32992	C₂³	1	8	yes	—
272	#32990	C₂³	1	8	yes	—
273	#32977	C₂³	1	8	yes	—
274	#32976	C₂³	1	4	yes	—
275	#32976	C₂³	1	4	yes	—
276	#32976	C₂³	1	4	yes	—
277	#32976	C₂³	1	8	yes	—
278	#32975	C₂³	1	4	yes	—
279	#32971	C₂³	1	8	yes	—
280	#32969	C₂³	1	8	yes	—
281	#32928	C₂³	1	8	yes	—
282	#32927	C₂³	1	4	yes	—
283	#32926	C₂³	1	4	yes	—
284	#32926	C₂³	1	4	yes	—
285	#32926	C₂³	1	4	yes	—
286	#32926	C₂³	1	8	yes	—
287	#32920	C₂³	1	8	yes	—
288	#32920	C₂³	1	8	yes	—
289	#32901	C₂³	1	4	yes	—
290	#32900	C₂³	1	4	yes	—
291	#32899	C₂³	1	4	yes	—
292	#32899	C₂³	1	4	yes	—
293	#32899	C₂³	1	4	yes	—
294	#32899	C₂³	1	4	yes	—
295	#32899	C₂³	1	4	yes	—
296	#32898	C₂³	1	4	yes	—
297	#32890	C₂³	1	8	yes	—
298	#32888	C₂³	1	8	yes	—
299	C₄×#458	C₂³	1	8	yes	—
300	C₄×#458	C₂³	1	8	yes	—
301	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
302	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
303	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
304	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
305	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
306	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
307	#21473	C₂³	1	16	yes	—
308	C₄×#453	C₂³	1	16	yes	—
309	#20959	C₂³	1	4	yes	—
310	C₂×#1889	C₂³	1	4	yes	—
311	#20956	C₂³	1	4	yes	—
312	#20888	C₂³	1	4	yes	—
313	C₂×#1867	C₂³	1	4	yes	—
314	#20858	C₂³	1	4	yes	—
315	#20728	C₂³	1	2	yes	—
316	#20728	C₂³	1	2	yes	—
317	#20726	C₂³	1	2	yes	—
318	#20726	C₂³	1	2	yes	—
319	#20723	C₂³	1	2	yes	—
320	#20723	C₂³	1	2	yes	—
321	#20723	C₂³	1	2	yes	—
322	#20723	C₂³	1	2	yes	—
323	#20723	C₂³	1	2	yes	—
324	#20723	C₂³	1	2	yes	—
325	#20722	C₂³	1	2	yes	—
326	#20722	C₂³	1	2	yes	—
327	#20637	C₂³	1	2	yes	—
328	#20632	C₂³	1	2	yes	—
329	C₂×#1799	C₂³	1	2	yes	—
330	#20618	C₂³	1	4	yes	—
331	#20608	C₂³	1	4	yes	—
332	C₂×#1790	C₂³	1	4	yes	—
333	#20591	C₂³	1	2	yes	—
334	#20584	C₂³	1	2	yes	—
335	C₂×#1782	C₂³	1	2	yes	—
336	C₄×#413	C₂³	1	2	yes	—
337	C₄×#410	C₂³	1	2	yes	—
338	C₂×C₄×#99	C₂³	1	2	yes	—
339	#13462	C₂³	1	16	yes	complemented
340	#13461	C₂³	1	16	yes	complemented
341	#13423	C₂³	1	16	yes	complemented
342	#13422	C₂³	1	16	yes	complemented
343	#13422	C₂³	1	16	yes	complemented
344	#13422	C₂³	1	16	yes	complemented
345	#13420	C₂³	1	16	yes	complemented
346	#13419	C₂³	1	16	yes	complemented
347	#13376	C₂³	1	16	yes	—
348	#13375	C₂³	1	16	yes	—
349	#13347	C₂³	1	16	yes	—
350	#13346	C₂³	1	16	yes	—
351	#13346	C₂³	1	16	yes	—
352	#13346	C₂³	1	16	yes	—
353	#13344	C₂³	1	16	yes	—
354	#13343	C₂³	1	16	yes	—
355	#13299	C₂³	1	8	yes	complemented
356	#13298	C₂³	1	8	yes	complemented
357	#13296	C₂³	1	4	yes	complemented
358	#13295	C₂³	1	4	yes	complemented
359	#13295	C₂³	1	4	yes	complemented
360	#13295	C₂³	1	4	yes	complemented
361	#13294	C₂³	1	8	yes	complemented
362	#13292	C₂³	1	8	yes	complemented
363	#13223	C₂³	1	8	yes	complemented
364	#13223	C₂³	1	8	yes	complemented
365	#13221	C₂³	1	4	yes	complemented
366	#13221	C₂³	1	4	yes	complemented
367	#13221	C₂³	1	4	yes	complemented
368	#13220	C₂³	1	4	yes	complemented
369	#13219	C₂³	1	8	yes	complemented
370	#13218	C₂³	1	8	yes	complemented
371	#13089	C₂³	1	8	yes	—
372	#13089	C₂³	1	8	yes	—
373	#13088	C₂³	1	8	yes	—
374	#13088	C₂³	1	8	yes	—
375	#13087	C₂³	1	8	yes	—
376	#13087	C₂³	1	8	yes	—
377	#13086	C₂³	1	8	yes	—
378	#13084	C₂³	1	8	yes	—
379	#13083	C₂³	1	8	yes	—
380	#13083	C₂³	1	8	yes	—
381	#13083	C₂³	1	8	yes	—
382	#13081	C₂³	1	8	yes	—
383	#13049	C₂³	1	16	yes	—
384	#13047	C₂³	1	16	yes	—
385	#13044	C₂³	1	16	yes	—
386	#13043	C₂³	1	16	yes	—
387	#13041	C₂³	1	16	yes	—
388	#13041	C₂³	1	16	yes	—
389	#12966	C₂³	1	16	yes	complemented
390	#12964	C₂³	1	16	yes	complemented
391	#12961	C₂³	1	16	yes	complemented
392	#12960	C₂³	1	16	yes	complemented
393	#12958	C₂³	1	16	yes	complemented
394	#12958	C₂³	1	16	yes	complemented
395	#12859	C₂³	1	8	yes	—
396	#12853	C₂³	1	8	yes	—
397	#12852	C₂³	1	8	yes	—
398	#12799	C₂³	1	16	yes	complemented
399	#12794	C₂³	1	8	yes	complemented
400	#12793	C₂³	1	8	yes	complemented
401	#12793	C₂³	1	8	yes	complemented
402	#12793	C₂³	1	8	yes	complemented
403	#12762	C₂³	1	16	yes	complemented
404	#12759	C₂³	1	16	yes	complemented
405	#12697	C₂³	1	8	yes	—
406	#12689	C₂³	1	8	yes	—
407	#12687	C₂³	1	8	yes	—
408	C₄×#353	C₂³	1	16	yes	complemented
409	C₄×#352	C₂³	1	8	yes	complemented
410	C₄×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	complemented
411	C₄×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	complemented
412	C₄×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	complemented
413	C₂×#585	C₂⁴	1	2	yes	—
414	C₂×#585	C₂⁴	1	2	yes	—
415	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
416	C₂³×#41	C₂×D₄	1	1	yes	characteristic
417	C₂³×#41	C₂⁴	1	1	yes	characteristic
418	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
419	C₂⁵×C₄	C₂×D₄	1	2	yes	—
420	C₂×#560	C₂⁴	1	4	yes	—
421	C₂×D₄²	C₂⁴	1	4	yes	—
422	C₂×#535	C₂×D₄	1	2	yes	—
423	C₂×#535	C₂⁴	1	2	yes	—
424	C₂×#532	C₂×D₄	1	2	yes	—
425	C₂×#532	C₂×D₄	1	2	yes	—
426	C₂×#532	C₂×D₄	1	2	yes	complemented
427	C₂×#532	C₂×D₄	1	2	yes	complemented
428	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
429	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
430	C₂×#525	C₂×D₄	1	2	yes	—
431	C₂×#525	C₂⁴	1	2	yes	—
432	C₂²×#121	C₂×D₄	1	2	yes	—
433	C₂²×#120	C₂×D₄	1	2	yes	—
434	C₂²×#120	C₂⁴	1	2	yes	—
435	C₄×H(5,𝔽₂)	C₂⁴	1	4	yes	—
436	C₄×H(5,𝔽₂)	C₂⁴	1	4	yes	—
437	C₄×H(5,𝔽₂)	C₂⁴	1	4	yes	—
438	C₄×H(5,𝔽₂)	C₂⁴	1	4	yes	—
439	#3428	C₂⁴	1	2	yes	—
440	#3428	C₂⁴	1	2	yes	—
441	C₂×#518	C₂⁴	1	2	yes	—
442	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
443	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
444	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
445	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
446	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
447	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
448	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
449	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
450	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
451	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
452	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
453	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
454	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
455	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
456	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
457	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
459	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
460	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
461	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
462	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
463	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
464	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
465	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
466	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
467	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
468	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
469	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
470	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
471	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
472	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
473	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
474	C₂²×C₄×D₄	C₂×D₄	1	2	yes	complemented
475	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
476	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
477	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
479	C₂²×#117	C₂×D₄	1	1	yes	characteristic
480	C₂²×#117	C₂×D₄	1	1	yes	characteristic
481	C₂²×#117	C₂×D₄	1	1	yes	characteristic
482	C₂²×#117	C₂×D₄	1	1	yes	characteristic
483	C₂²×#117	C₂×D₄	1	2	yes	complemented
484	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₂³×C₂²⋊C₄	C₂×D₄	1	2	yes	—
486	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
487	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
488	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
489	C₂³×C₄²	C₂×D₄	1	2	yes	complemented
490	C₂×#458	C₂⁴	1	8	yes	—
491	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
492	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
493	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
494	C₂×#453	C₂⁴	1	16	yes	—
495	C₂×#413	C₂⁴	1	4	yes	—
496	C₂×#410	C₂⁴	1	4	yes	—
497	C₂²×#99	C₂⁴	1	4	yes	—
498	#2748	C₂⁴	1	4	yes	—
499	#2709	C₂⁴	1	4	yes	—
500	#2697	C₂⁴	1	4	yes	—
501	#2683	C₂⁴	1	4	yes	—
502	#2679	C₂⁴	1	4	yes	—
503	#2669	C₂⁴	1	4	yes	—
504	#2669	C₂⁴	1	4	yes	—
505	#2669	C₂⁴	1	4	yes	—
506	#2579	C₂×D₄	1	2	yes	—
507	#2579	C₂×D₄	1	2	yes	complemented
508	#2579	C₂×D₄	1	2	yes	complemented
509	#2579	C₂⁴	1	2	yes	—
510	#2568	C₂×D₄	1	2	yes	complemented
511	#2568	C₂×D₄	1	2	yes	complemented
512	#2567	C₂×D₄	1	2	yes	complemented
513	#2567	C₂×D₄	1	2	yes	complemented
514	#2563	C₂×D₄	1	2	yes	—
515	#2563	C₂⁴	1	2	yes	—
516	#2548	C₂×D₄	1	2	yes	complemented
517	#2548	C₂×D₄	1	2	yes	complemented
518	#2548	C₂×D₄	1	2	yes	complemented
519	#2548	C₂×D₄	1	2	yes	complemented
520	#2542	C₂×D₄	1	2	yes	—
521	#2542	C₂⁴	1	2	yes	—
522	#2541	C₂×D₄	1	2	yes	—
523	#2541	C₂×D₄	1	2	yes	—
524	#2541	C₂⁴	1	2	yes	—
525	#2541	C₂⁴	1	2	yes	—
526	#2534	C₂×D₄	1	2	yes	—
527	#2534	C₂×D₄	1	2	yes	complemented
528	#2534	C₂×D₄	1	2	yes	complemented
529	#2534	C₂⁴	1	2	yes	—
530	#2504	C₂×D₄	1	4	yes	—
531	#2501	C₂×D₄	1	4	yes	—
532	#2500	C₂×D₄	1	4	yes	complemented
533	#2500	C₂×D₄	1	4	yes	complemented
534	#2487	C₂×D₄	1	1	yes	characteristic
535	#2487	C₂×D₄	1	1	yes	characteristic
536	#2487	C₂×D₄	1	2	yes	—
537	#2487	C₂×D₄	1	1	yes	characteristic
538	#2487	C₂×D₄	1	2	yes	—
539	#2487	C₂×D₄	1	2	yes	—
540	#2487	C₂×D₄	1	1	yes	characteristic
541	#2487	C₂×D₄	1	1	yes	characteristic
542	#2487	C₂×D₄	1	1	yes	characteristic
543	#2487	C₂×D₄	1	1	yes	characteristic
544	#2487	C₂×D₄	1	1	yes	characteristic, complemented
545	#2487	C₂×D₄	1	1	yes	characteristic, complemented
546	#2487	C₂⁴	1	1	yes	characteristic
547	#2487	C₂⁴	1	1	yes	characteristic
548	#2487	C₂⁴	1	2	yes	—
549	#2487	C₂⁴	1	1	yes	characteristic
550	#2486	C₂×D₄	1	1	yes	characteristic
551	#2486	C₂×D₄	1	1	yes	characteristic, complemented
552	#2486	C₂×D₄	1	1	yes	characteristic, complemented
553	#2486	C₂⁴	1	1	yes	characteristic
554	#2484	C₂×D₄	1	2	yes	complemented
555	#2484	C₂×D₄	1	2	yes	complemented
556	#2483	C₂×D₄	1	2	yes	—
557	#2483	C₂×D₄	1	2	yes	—
558	#2482	C₂×D₄	1	2	yes	—
559	#2482	C₂×D₄	1	2	yes	—
560	#2482	C₂×D₄	1	2	yes	—
561	#2482	C₂×D₄	1	2	yes	—
562	#2482	C₂×D₄	1	2	yes	—
563	#2482	C₂×D₄	1	2	yes	—
564	#2482	C₂×D₄	1	2	yes	—
565	#2482	C₂×D₄	1	2	yes	—
566	#2482	C₂×D₄	1	2	yes	complemented
567	#2482	C₂×D₄	1	2	yes	complemented
568	#2436	C₂×D₄	1	4	yes	—
569	#2433	C₂⁴	1	4	yes	—
570	#2431	C₂×D₄	1	4	yes	—
571	#2431	C₂⁴	1	4	yes	—
572	#2409	C₂×D₄	1	1	yes	characteristic
573	#2409	C₂×D₄	1	1	yes	characteristic, complemented
574	#2409	C₂×D₄	1	1	yes	characteristic, complemented
575	#2409	C₂⁴	1	1	yes	characteristic
576	#2408	C₂×D₄	1	1	yes	characteristic
577	#2408	C₂×D₄	1	2	yes	—
578	#2408	C₂×D₄	1	2	yes	—
579	#2408	C₂×D₄	1	1	yes	characteristic
580	#2408	C₂×D₄	1	1	yes	characteristic
581	#2408	C₂×D₄	1	1	yes	characteristic
582	#2408	C₂×D₄	1	1	yes	characteristic
583	#2408	C₂×D₄	1	2	yes	—
584	#2408	C₂×D₄	1	1	yes	characteristic
585	#2408	C₂×D₄	1	1	yes	characteristic
586	#2408	C₂×D₄	1	1	yes	characteristic, complemented
587	#2408	C₂×D₄	1	1	yes	characteristic, complemented
588	#2408	C₂⁴	1	2	yes	—
589	#2408	C₂⁴	1	1	yes	characteristic
590	#2408	C₂⁴	1	1	yes	characteristic
591	#2408	C₂⁴	1	1	yes	characteristic
592	#2406	C₂×D₄	1	2	yes	—
593	#2406	C₂⁴	1	2	yes	—
594	#2405	C₂×D₄	1	2	yes	—
595	#2405	C₂×D₄	1	2	yes	—
596	#2405	C₂×D₄	1	2	yes	—
597	#2405	C₂⁴	1	2	yes	—
598	#2404	C₂×D₄	1	2	yes	—
599	#2404	C₂×D₄	1	2	yes	—
600	#2404	C₂×D₄	1	2	yes	—
601	#2404	C₂×D₄	1	2	yes	—
602	#2404	C₂×D₄	1	2	yes	—
603	#2404	C₂⁴	1	2	yes	—
604	#2404	C₂⁴	1	2	yes	—
605	#2404	C₂⁴	1	2	yes	—
606	#2404	C₂⁴	1	2	yes	—
607	#2404	C₂⁴	1	2	yes	—
608	#2403	C₂×D₄	1	2	yes	—
609	#2403	C₂⁴	1	2	yes	—
610	#2380	C₂⁴	1	4	yes	—
611	#2376	C₂⁴	1	4	yes	—
612	#2375	C₂⁴	1	4	yes	—
613	#2366	C₂⁴	1	4	yes	—
614	#2358	C₂⁴	1	4	yes	—
615	#2358	C₂⁴	1	4	yes	—
616	#2328	C₂×D₄	1	4	yes	—
617	#2328	C₂⁴	1	4	yes	—
618	#2326	C₂×D₄	1	4	yes	complemented
619	#2326	C₂×D₄	1	4	yes	complemented
620	#2317	C₂×D₄	1	2	yes	complemented
621	#2317	C₂×D₄	1	2	yes	complemented
622	#2311	C₂×D₄	1	2	yes	—
623	#2311	C₂⁴	1	2	yes	—
624	#2309	C₂×D₄	1	2	yes	complemented
625	#2309	C₂×D₄	1	2	yes	complemented
626	C₄×#127	C₂×D₄	1	4	yes	—
627	C₄×#127	C₂⁴	1	4	yes	—
628	C₄×#124	C₂×D₄	1	4	yes	complemented
629	C₄×#124	C₂×D₄	1	4	yes	complemented
630	C₄×#123	C₂×D₄	1	2	yes	—
631	C₄×#123	C₂×D₄	1	2	yes	—
632	C₄×#123	C₂×D₄	1	2	yes	complemented
633	C₄×#123	C₂×D₄	1	2	yes	complemented
634	C₄×#123	C₂×D₄	1	2	yes	complemented
635	C₄×#123	C₂×D₄	1	2	yes	complemented
636	C₄×#123	C₂⁴	1	2	yes	—
637	C₄×#123	C₂⁴	1	2	yes	—
638	C₄×#120	C₂×D₄	1	2	yes	—
639	C₄×#120	C₂×D₄	1	2	yes	—
640	C₄×#120	C₂×D₄	1	2	yes	—
641	C₄×#120	C₂×D₄	1	2	yes	—
642	C₄×#120	C₂×D₄	1	2	yes	—
643	C₄×#120	C₂×D₄	1	2	yes	—
644	C₄×#120	C₂×D₄	1	2	yes	—
645	C₄×#120	C₂×D₄	1	2	yes	—
646	C₄×#120	C₂×D₄	1	2	yes	—
647	C₄×#120	C₂×D₄	1	2	yes	—
648	C₄×#120	C₂×D₄	1	2	yes	—
649	C₄×#120	C₂×D₄	1	2	yes	—
650	C₄×#120	C₂×D₄	1	2	yes	—
651	C₄×#120	C₂×D₄	1	2	yes	—
652	C₄×#120	C₂×D₄	1	2	yes	complemented
653	C₄×#120	C₂×D₄	1	2	yes	complemented
654	C₄×#120	C₂×D₄	1	2	yes	complemented
655	C₄×#120	C₂×D₄	1	2	yes	complemented
656	C₄×#120	C₂⁴	1	2	yes	—
657	C₄×#120	C₂⁴	1	2	yes	—
658	C₄×#120	C₂⁴	1	2	yes	—
659	C₄×#120	C₂⁴	1	2	yes	—
660	C₄×#120	C₂⁴	1	2	yes	—
661	C₄×#120	C₂⁴	1	2	yes	—
662	#2297	C₂×D₄	1	2	yes	—
663	#2297	C₂⁴	1	2	yes	—
664	#2296	C₂×D₄	1	2	yes	complemented
665	#2296	C₂×D₄	1	2	yes	complemented
666	C₂×#386	C₂×D₄	1	2	yes	—
667	C₂×#386	C₂⁴	1	2	yes	—
668	C₂×#385	C₂×D₄	1	2	yes	—
669	C₂×#385	C₂×D₄	1	2	yes	—
670	#2285	C₂×D₄	1	1	yes	characteristic, complemented
671	#2285	C₂×D₄	1	1	yes	characteristic, complemented
672	#2285	C₂×D₄	1	1	yes	characteristic, complemented
673	#2285	C₂×D₄	1	1	yes	characteristic, complemented
674	#2283	C₂×D₄	1	2	yes	—
675	#2283	C₂×D₄	1	1	yes	characteristic
676	#2283	C₂×D₄	1	1	yes	characteristic
677	#2283	C₂×D₄	1	2	yes	—
678	#2283	C₂×D₄	1	1	yes	characteristic
679	#2283	C₂×D₄	1	1	yes	characteristic
680	#2283	C₂×D₄	1	2	yes	—
681	#2283	C₂×D₄	1	1	yes	characteristic, complemented
682	#2283	C₂×D₄	1	2	yes	complemented
683	#2283	C₂×D₄	1	1	yes	characteristic, complemented
684	#2283	C₂×D₄	1	2	yes	complemented
685	#2280	C₂×D₄	1	2	yes	—
686	#2280	C₂×D₄	1	1	yes	characteristic
687	#2280	C₂×D₄	1	1	yes	characteristic
688	#2280	C₂×D₄	1	2	yes	—
689	#2280	C₂×D₄	1	2	yes	—
690	#2280	C₂×D₄	1	2	yes	complemented
691	#2280	C₂×D₄	1	2	yes	complemented
692	C₂×#381	C₂×D₄	1	2	yes	—
693	C₂×#380	C₂×D₄	1	1	yes	characteristic
694	C₂×#380	C₂×D₄	1	1	yes	characteristic
695	C₂×#379	C₂×D₄	1	2	yes	—
696	C₂×#379	C₂×D₄	1	2	yes	—
697	C₄×#117	C₂×D₄	1	2	yes	—
698	C₄×#117	C₂×D₄	1	2	yes	complemented
699	C₄×#117	C₂×D₄	1	2	yes	complemented
700	C₄×#117	C₂×D₄	1	2	yes	complemented
701	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	2	yes	—
702	C₂×#353	C₂⁴	1	16	yes	—
703	C₂×#353	C₂⁴	1	16	yes	—
704	C₂×#352	C₂⁴	1	16	yes	—
705	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
706	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
707	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
708	#1890	C₂⁴	1	8	yes	—
709	#1889	C₂⁴	1	8	yes	—
710	#1889	C₂⁴	1	8	yes	—
711	#1889	C₂⁴	1	8	yes	—
712	#1887	C₂⁴	1	16	yes	—
713	#1867	C₂⁴	1	8	yes	—
714	#1867	C₂⁴	1	8	yes	—
715	#1867	C₂⁴	1	8	yes	—
716	#1867	C₂⁴	1	8	yes	—
717	#1856	C₂⁴	1	16	yes	—
718	#1800	C₂⁴	1	4	yes	—
719	#1800	C₂⁴	1	4	yes	—
720	#1799	C₂⁴	1	4	yes	—
721	#1799	C₂⁴	1	4	yes	—
722	#1799	C₂⁴	1	4	yes	—
723	#1799	C₂⁴	1	4	yes	—
724	#1792	C₂⁴	1	16	yes	—
725	#1790	C₂⁴	1	8	yes	—
726	#1790	C₂⁴	1	8	yes	—
727	#1790	C₂⁴	1	8	yes	—
728	#1790	C₂⁴	1	8	yes	—
729	#1785	C₂⁴	1	4	yes	—
730	#1783	C₂⁴	1	4	yes	—
731	#1782	C₂⁴	1	4	yes	—
732	#1782	C₂⁴	1	4	yes	—
733	#1782	C₂⁴	1	4	yes	—
734	#1781	C₂⁴	1	4	yes	—
735	C₄×#100	C₂⁴	1	4	yes	—
736	C₄×#100	C₂⁴	1	4	yes	—
737	C₄×#99	C₂⁴	1	4	yes	—
738	C₄×#99	C₂⁴	1	4	yes	—
739	C₄×#99	C₂⁴	1	4	yes	—
740	C₄×#99	C₂⁴	1	4	yes	—
741	#1393	C₂⁴	1	16	yes	—
742	#1393	C₂⁴	1	16	yes	—
743	#1390	C₂⁴	1	16	yes	—
744	#1390	C₂⁴	1	16	yes	—
745	#1390	C₂⁴	1	16	yes	—
746	#1390	C₂⁴	1	16	yes	—
747	C₂⁶	C₂²×D₄	1	2	yes	—
748	C₂×H(5,𝔽₂)	C₂⁵	1	4	yes	—
749	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
750	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
751	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
752	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
753	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
754	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
755	C₂²×#41	C₂⁵	1	1	yes	characteristic
756	C₂²×#41	C₂⁵	1	1	yes	characteristic
757	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
758	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
759	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
760	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
761	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
762	C₂³×D₄	C₂²×D₄	1	2	yes	—
763	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
764	C₂³×D₄	C₂²×D₄	1	2	yes	—
765	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
766	C₂³×D₄	C₂²×D₄	1	2	yes	—
767	C₂³×D₄	C₂⁵	1	1	yes	characteristic
768	C₂⁴×C₄	#120	1	1	yes	characteristic
769	C₂⁴×C₄	#120	1	1	yes	characteristic
770	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
771	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
772	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
773	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
774	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
775	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
776	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
777	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
778	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
779	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
780	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
781	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
782	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
783	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
784	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
785	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
786	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
787	C₂×#127	C₂²×D₄	1	4	yes	—
788	C₂×#127	C₂²×D₄	1	2	yes	—
789	C₂×#127	C₂²×D₄	1	2	yes	—
790	C₂×#127	C₂⁵	1	4	yes	—
791	C₂×#124	C₂²×D₄	1	4	yes	—
792	C₂×#124	C₂²×D₄	1	4	yes	—
793	C₂×#123	C₂²×D₄	1	2	yes	—
794	C₂×#123	C₂²×D₄	1	2	yes	—
795	C₂×#123	C₂²×D₄	1	2	yes	—
796	C₂×#123	C₂⁵	1	2	yes	—
797	C₂×#121	C₂²×D₄	1	4	yes	—
798	C₂×#121	C₂²×D₄	1	4	yes	—
799	C₂×#120	C₂²×D₄	1	2	yes	—
800	C₂×#120	C₂²×D₄	1	2	yes	—
801	C₂×#120	C₂²×D₄	1	2	yes	—
802	C₂×#120	C₂²×D₄	1	2	yes	—
803	C₂×#120	C₂²×D₄	1	2	yes	—
804	C₂×#120	C₂²×D₄	1	2	yes	—
805	C₂×#120	C₂²×D₄	1	2	yes	—
806	C₂×#120	C₂²×D₄	1	2	yes	—
807	C₂×#120	C₂²×D₄	1	2	yes	—
808	C₂×#120	C₂⁵	1	2	yes	—
809	C₂×#120	C₂⁵	1	2	yes	—
810	C₂×#120	C₂⁵	1	2	yes	—
811	#518	C₂⁵	1	4	yes	—
812	C₂×C₄×Q₈	#120	1	1	yes	characteristic
813	C₂×C₄×Q₈	#120	1	1	yes	characteristic
814	C₂×C₄×Q₈	#120	1	1	yes	characteristic
815	C₂×C₄×Q₈	#120	1	1	yes	characteristic
816	C₂×C₄×Q₈	#120	1	1	yes	characteristic
817	C₂×C₄×Q₈	#120	1	1	yes	characteristic
818	C₂×C₄×Q₈	#120	1	1	yes	characteristic
819	C₂×C₄×Q₈	#120	1	1	yes	characteristic
820	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×D₄	#120	1	1	yes	characteristic
829	C₂×C₄×D₄	#120	1	1	yes	characteristic
830	C₂×C₄×D₄	#120	1	1	yes	characteristic
831	C₂×C₄×D₄	#120	1	1	yes	characteristic
832	C₂×C₄×D₄	#120	1	1	yes	characteristic
833	C₂×C₄×D₄	#120	1	1	yes	characteristic
834	C₂×C₄×D₄	#120	1	1	yes	characteristic
835	C₂×C₄×D₄	#120	1	1	yes	characteristic
836	C₂×C₄×D₄	#120	1	1	yes	characteristic
837	C₂×C₄×D₄	#120	1	1	yes	characteristic
838	C₂×C₄×D₄	#120	1	1	yes	characteristic
839	C₂×C₄×D₄	#120	1	1	yes	characteristic
840	C₂×C₄×D₄	#120	1	1	yes	characteristic
841	C₂×C₄×D₄	#120	1	1	yes	characteristic
842	C₂×C₄×D₄	#120	1	1	yes	characteristic
843	C₂×C₄×D₄	#120	1	1	yes	characteristic
844	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
848	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
849	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
850	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
851	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
852	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
853	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
854	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
855	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
856	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
857	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
858	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
859	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
860	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
861	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
862	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
865	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
866	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
867	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
868	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
869	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
870	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
871	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
872	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
873	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
874	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
875	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
876	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
877	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
878	C₂×#117	#120	1	1	yes	characteristic
879	C₂×#117	#120	1	1	yes	characteristic
880	C₂×#117	#120	1	1	yes	characteristic
881	C₂×#117	#120	1	1	yes	characteristic
882	C₂×#117	#120	1	1	yes	characteristic
883	C₂×#117	#120	1	1	yes	characteristic
884	C₂×#117	#120	1	1	yes	characteristic
885	C₂×#117	#120	1	1	yes	characteristic
886	C₂×#117	#120	1	1	yes	characteristic
887	C₂×#117	#120	1	1	yes	characteristic
888	C₂×#117	#120	1	1	yes	characteristic
889	C₂×#117	#120	1	1	yes	characteristic
890	C₂×#117	C₂²×D₄	1	2	yes	—
891	C₂×#117	C₂²×D₄	1	2	yes	—
892	C₂×#117	C₂²×D₄	1	1	yes	characteristic
893	C₂×#117	C₂²×D₄	1	1	yes	characteristic
894	C₂×#117	C₂²×D₄	1	1	yes	characteristic
895	C₂×#117	C₂²×D₄	1	1	yes	characteristic
896	C₂×#117	C₂²×D₄	1	1	yes	characteristic
897	C₂×#117	C₂²×D₄	1	1	yes	characteristic
898	C₂×#117	C₂²×D₄	1	1	yes	characteristic
899	C₂×#117	C₂²×D₄	1	1	yes	characteristic
900	C₂×#117	C₂²×D₄	1	1	yes	characteristic
901	C₂×#117	C₂²×D₄	1	1	yes	characteristic
902	C₂×#117	C₂²×D₄	1	1	yes	characteristic
903	C₂×#117	C₂²×D₄	1	1	yes	characteristic
904	C₂×#117	C₂²×D₄	1	2	yes	—
905	C₂×#117	C₂²×D₄	1	2	yes	—
906	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
907	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
908	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
909	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
910	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
911	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
912	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
913	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
914	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
915	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
916	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
917	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
918	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
919	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
920	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
921	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
922	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
923	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
924	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
925	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
926	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
927	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
928	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
929	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
930	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
931	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
932	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
933	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
934	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
935	C₂²×C₄²	#120	1	1	yes	characteristic
936	C₂²×C₄²	#120	1	1	yes	characteristic
937	C₂²×C₄²	#120	1	1	yes	characteristic
938	C₂²×C₄²	#120	1	1	yes	characteristic
939	C₂²×C₄²	#120	1	1	yes	characteristic
940	C₂²×C₄²	#120	1	1	yes	characteristic
941	C₂²×C₄²	#120	1	1	yes	characteristic
942	C₂²×C₄²	#120	1	1	yes	characteristic
943	C₂²×C₄²	#120	1	1	yes	characteristic
944	C₂²×C₄²	#120	1	1	yes	characteristic
945	C₂²×C₄²	#120	1	1	yes	characteristic
946	C₂²×C₄²	#120	1	1	yes	characteristic
947	C₂²×C₄²	#120	1	1	yes	characteristic
948	C₂²×C₄²	#120	1	1	yes	characteristic
949	C₂²×C₄²	#120	1	1	yes	characteristic
950	C₂²×C₄²	#120	1	1	yes	characteristic
951	C₂²×C₄²	#120	1	1	yes	characteristic
952	C₂²×C₄²	#120	1	1	yes	characteristic
953	C₂²×C₄²	#120	1	1	yes	characteristic
954	C₂²×C₄²	#120	1	1	yes	characteristic
955	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
956	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
957	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
958	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
959	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
960	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
961	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
962	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
963	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
964	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
965	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
966	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
967	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
968	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
969	C₂²×C₄²	C₂²×D₄	1	2	yes	—
970	C₂²×C₄²	C₂²×D₄	1	2	yes	—
971	C₂²×C₄²	C₂²×D₄	1	2	yes	—
972	C₂×#100	C₂⁵	1	8	yes	—
973	C₂×#99	C₂⁵	1	8	yes	—
974	C₂×#99	C₂⁵	1	8	yes	—
975	#391	C₂²×D₄	1	4	yes	—
976	#391	C₂²×D₄	1	4	yes	—
977	#390	C₂²×D₄	1	4	yes	—
978	#390	C₂²×D₄	1	4	yes	—
979	#390	C₂²×D₄	1	4	yes	—
980	#390	C₂²×D₄	1	4	yes	—
981	#390	C₂²×D₄	1	4	yes	—
982	#390	C₂⁵	1	4	yes	—
983	#386	C₂²×D₄	1	2	yes	—
984	#386	C₂²×D₄	1	2	yes	—
985	#386	C₂²×D₄	1	2	yes	—
986	#386	C₂²×D₄	1	2	yes	—
987	#386	C₂²×D₄	1	2	yes	—
988	#386	C₂²×D₄	1	2	yes	—
989	#386	C₂²×D₄	1	2	yes	—
990	#386	C₂²×D₄	1	2	yes	—
991	#386	C₂²×D₄	1	2	yes	—
992	#386	C₂²×D₄	1	2	yes	—
993	#386	C₂²×D₄	1	2	yes	—
994	#386	C₂²×D₄	1	2	yes	—
995	#386	C₂⁵	1	2	yes	—
996	#386	C₂⁵	1	2	yes	—
997	#386	C₂⁵	1	2	yes	—
998	#386	C₂⁵	1	2	yes	—
999	#385	C₂²×D₄	1	2	yes	—
1000	#385	C₂²×D₄	1	2	yes	—
1001	#385	C₂²×D₄	1	2	yes	—
1002	#385	C₂²×D₄	1	2	yes	—
1003	#385	C₂²×D₄	1	2	yes	—
1004	#385	C₂²×D₄	1	2	yes	—
1005	#385	C₂²×D₄	1	2	yes	—
1006	#385	C₂²×D₄	1	2	yes	—
1007	#385	C₂²×D₄	1	2	yes	—
1008	#385	C₂²×D₄	1	2	yes	—
1009	#385	C₂²×D₄	1	2	yes	—
1010	#385	C₂²×D₄	1	2	yes	—
1011	#385	C₂²×D₄	1	2	yes	—
1012	#385	C₂²×D₄	1	2	yes	—
1013	#385	C₂²×D₄	1	2	yes	—
1014	#385	C₂²×D₄	1	2	yes	—
1015	#384	C₂²×D₄	1	4	yes	—
1016	#384	C₂²×D₄	1	4	yes	—
1017	#382	C₂²×D₄	1	4	yes	—
1018	#382	C₂²×D₄	1	4	yes	—
1019	#381	C₂²×D₄	1	2	yes	—
1020	#381	C₂²×D₄	1	2	yes	—
1021	#381	C₂²×D₄	1	2	yes	—
1022	#381	C₂²×D₄	1	2	yes	—
1023	#381	C₂²×D₄	1	2	yes	—
1024	#381	C₂²×D₄	1	2	yes	—
1025	#381	C₂²×D₄	1	2	yes	—
1026	#381	C₂²×D₄	1	2	yes	—
1027	#381	C₂²×D₄	1	2	yes	—
1028	#381	C₂²×D₄	1	2	yes	—
1029	#380	C₂²×D₄	1	1	yes	characteristic
1030	#380	C₂²×D₄	1	2	yes	—
1031	#380	C₂²×D₄	1	2	yes	—
1032	#380	C₂²×D₄	1	1	yes	characteristic
1033	#380	C₂²×D₄	1	1	yes	characteristic
1034	#380	C₂²×D₄	1	2	yes	—
1035	#380	C₂²×D₄	1	1	yes	characteristic
1036	#380	C₂²×D₄	1	2	yes	—
1037	#380	C₂²×D₄	1	1	yes	characteristic
1038	#380	C₂²×D₄	1	1	yes	characteristic
1039	#380	C₂²×D₄	1	1	yes	characteristic
1040	#380	C₂²×D₄	1	1	yes	characteristic
1041	#379	C₂²×D₄	1	2	yes	—
1042	#379	C₂²×D₄	1	2	yes	—
1043	#379	C₂²×D₄	1	2	yes	—
1044	#379	C₂²×D₄	1	2	yes	—
1045	#379	C₂²×D₄	1	2	yes	—
1046	#379	C₂²×D₄	1	2	yes	—
1047	#379	C₂²×D₄	1	2	yes	—
1048	#379	C₂²×D₄	1	2	yes	—
1049	#379	C₂²×D₄	1	2	yes	—
1050	#379	C₂²×D₄	1	2	yes	—
1051	#379	C₂²×D₄	1	2	yes	—
1052	#379	C₂²×D₄	1	2	yes	—
1053	#379	C₂²×D₄	1	2	yes	—
1054	#379	C₂²×D₄	1	2	yes	—
1055	C₄×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1056	C₄×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1057	C₄×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1058	C₄×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1059	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1060	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1061	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1062	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1063	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1064	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1065	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1066	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1067	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1068	C₄×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1069	#376	C₂²×D₄	1	4	yes	—
1070	C₄³	C₂²×D₄	1	4	yes	—
1071	C₂⁵	C₂×#120	1	1	yes	characteristic
1072	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1073	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1074	C₂⁵	C₂³×D₄	1	2	yes	—
1075	C₂⁵	C₂³×D₄	1	2	yes	—
1076	C₂⁵	C₂³×D₄	1	2	yes	—
1077	H(5,𝔽₂)	#585	1	8	yes	—
1078	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
1079	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
1080	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1081	C₂²×Q₈	C₂³×D₄	1	1	yes	characteristic
1082	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1083	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1084	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1085	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1086	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1087	C₂²×D₄	C₂³×D₄	1	4	yes	—
1088	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1089	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1090	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1091	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1092	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1093	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1094	C₂²×D₄	C₂⁶	1	1	yes	characteristic
1095	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1096	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1097	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1098	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1099	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1100	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1101	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1102	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1103	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1104	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1105	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1106	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1107	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1108	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1109	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1110	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1111	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1112	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1113	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1114	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1115	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1116	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1117	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1118	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1119	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1120	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1121	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1122	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1123	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1124	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1125	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1126	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1127	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1128	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1129	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1130	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1131	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1132	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1133	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1134	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1135	C₂³×C₄	C₂³×D₄	1	2	yes	—
1136	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1137	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1138	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1139	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1140	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1141	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1142	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1143	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1144	C₂³×C₄	C₂³×D₄	1	2	yes	—
1145	C₂³×C₄	C₂³×D₄	1	2	yes	—
1146	C₂³×C₄	C₂³×D₄	1	2	yes	—
1147	C₂³×C₄	C₂³×D₄	1	2	yes	—
1148	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1149	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1151	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1152	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1153	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1154	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1156	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1157	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1158	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1159	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1162	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1163	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1164	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1165	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1166	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1167	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1168	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
1169	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1170	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1171	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1172	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1183	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1185	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1189	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1190	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1191	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1192	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1193	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1194	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1195	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1196	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1197	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1199	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1200	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1201	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1202	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1203	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1204	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1205	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1206	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1207	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1208	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1209	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1210	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1211	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1212	C₂×C₄²	B(4,𝔽₂)	1	1	yes	characteristic
1213	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1214	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1215	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1216	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1217	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1218	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1219	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1220	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1221	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1222	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1223	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1224	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1225	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1226	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1227	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1228	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1229	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1230	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1231	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1232	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1233	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1234	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1235	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1236	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1237	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1238	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1239	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1240	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1241	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1242	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1243	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1244	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1245	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1246	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1247	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1248	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1249	C₂×C₄²	C₂³×D₄	1	4	yes	—
1250	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1251	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1252	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1253	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1254	C₂×C₄²	C₂³×D₄	1	4	yes	—
1255	C₂⁴	C₂²×#120	1	1	yes	characteristic
1256	C₂⁴	C₂²×#120	1	1	yes	characteristic
1257	C₂⁴	C₂²×#120	1	1	yes	characteristic
1258	C₂⁴	C₂²×#120	1	1	yes	characteristic
1259	C₂⁴	C₂²×#120	1	1	yes	characteristic
1260	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1261	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1262	C₂×D₄	#3025	1	4	yes	—
1263	C₂×D₄	C₂×#585	1	4	yes	—
1264	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1265	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1266	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1267	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1268	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1269	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1270	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1271	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1272	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1273	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1274	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1275	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1276	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1277	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1278	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1279	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1280	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1281	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1282	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1283	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1284	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1285	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1286	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1287	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1288	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1289	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1290	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1291	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1292	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1293	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1294	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1295	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1296	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1297	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1298	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1299	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1300	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1301	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1302	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1303	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1304	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1305	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1306	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1307	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1308	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1309	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1310	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1311	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1312	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1313	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1314	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1315	C₄²	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1316	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1317	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1318	C₂³	C₂×#3025	1	2	yes	—
1319	C₂³	C₂×#3025	1	2	yes	—
1320	C₂³	C₂³×#120	1	1	yes	characteristic
1321	C₂³	#62811	1	2	yes	—
1322	C₂³	#62811	1	2	yes	—
1323	C₂×C₄	#33553	1	4	yes	—
1324	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1325	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1326	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1327	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1328	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1329	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1330	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1331	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1332	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1333	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1334	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1335	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1336	C₂×C₄	C₂×#3025	1	2	yes	—
1337	C₂×C₄	#62811	1	2	yes	—
1338	C₂²	C₂×#33553	1	2	yes	—
1339	C₂²	#7629120	1	1	yes	characteristic
1340	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1341	C₂²	C₂²×#3025	1	1	yes	characteristic
1342	C₄	C₂×#33553	1	2	yes	—
1343	C₄	C₂×#33553	1	2	yes	—
1344	C₄	#7622868	1	2	yes	—
1345	C₂	C₂×#7622868	1	1	yes	characteristic
1346	C₂	C₂²×#33553	1	1	yes	characteristic
1347	C₂	#72267322	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×B(4,𝔽₂)
commutator, Frattini, cosocle	C₂²×D₄	C₂⁶
socle	C₂²	C₂³×B(4,𝔽₂)
LCS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₄² ◁ C₂²×C₄×#41 ◁ 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. #72313081	C₂	semidirect
2. #72312648	C₂	semidirect
3. #72312553	C₂	semidirect
4. #72312543	C₂	semidirect
5. #72312491	C₂	semidirect
6. #72312452	C₂	semidirect
7. #72312302	C₂	semidirect
8. #72312191	C₂	semidirect
9. #72312177	C₂	semidirect
10. #72312161	C₂	semidirect
11. #72312140	C₂	semidirect
12. #72312031	C₂	semidirect
13. #72311642	C₂	semidirect
14. #72311167	C₂	semidirect
15. C₂×#6629390	C₂	semidirect
16. #72284341	C₂	semidirect
17. #72278409	C₂	semidirect
18. #72278320	C₂	semidirect
19. #72257824	C₂	semidirect
20. #72257818	C₂	semidirect
21. #72256395	C₂	semidirect
22. #72236596	C₂	semidirect
23. C₂×C₄×#585	C₂²	semidirect
24. #8195919	C₂²	semidirect
25. #8195905	C₂²	semidirect
26. #8195816	C₂²	semidirect
27. #8195808	C₂²	semidirect
28. #8195775	C₂²	semidirect
29. #8195763	C₂²	semidirect
31. #8183788	C₂²	semidirect
32. #8181835	C₂²	semidirect
33. #7708115	C₂²	semidirect
34. #7702269	C₂²	semidirect
35. #7702220	C₂²	semidirect
36. #7666097	C₂²	semidirect
37. #7666076	C₂²	semidirect
41. #6629391	C₂²	semidirect
43. #6629390	C₂²	semidirect
44. #6629390	C₂²	semidirect
45. #6629390	C₂²	semidirect
46. #6629390	C₂²	semidirect
47. #6629390	C₂²	semidirect
48. #6629390	C₂²	semidirect
49. #6629389	C₂²	semidirect
50. #6629388	C₂²	semidirect
51. #6629387	C₂²	semidirect
52. #6629386	C₂²	semidirect
53. #6629373	C₂²	semidirect
54. #6629367	C₂²	semidirect
55. #6629364	C₂²	semidirect
56. #6629358	C₂²	semidirect
57. #6629257	C₂²	semidirect
58. C₂×#33021	C₂²	semidirect
59. #6629174	C₂²	semidirect
60. #6629119	C₂²	semidirect
61. C₂×#32976	C₂²	semidirect
62. #6629110	C₂²	semidirect
63. #6628982	C₂²	semidirect
64. C₂×#32926	C₂²	semidirect
65. #6628970	C₂²	semidirect
66. #6628891	C₂²	semidirect
67. C₂×#32899	C₂²	semidirect
68. #6628870	C₂²	semidirect
69. C₄×#3025	C₂²	semidirect
70. C₂×C₄×B(4,𝔽₂)	C₂²	semidirect
71. C₄×#3021	C₂²	semidirect
72. #6370950	C₂²	semidirect
73. #6370937	C₂²	semidirect
74. C₂×#20723	C₂²	semidirect
75. #500967	C₂²	semidirect
76. #500952	C₂²	semidirect
77. #500950	C₂²	semidirect
78. #500943	C₂²	semidirect
79. #500942	C₂²	semidirect
80. #500781	C₂²	semidirect
81. #500768	C₂²	semidirect
82. #500765	C₂²	semidirect
83. #500757	C₂²	semidirect
84. #500757	C₂²	semidirect
85. #500532	C₂²	semidirect
86. #500531	C₂²	semidirect
87. #500507	C₂²	semidirect
88. #500507	C₂²	semidirect
89. #500501	C₂²	semidirect
90. #500499	C₂²	semidirect
91. #500484	C₂²	semidirect
92. #500483	C₂²	semidirect
93. #500477	C₂²	semidirect
94. #500475	C₂²	semidirect
95. #500419	C₂²	semidirect
96. #500414	C₂²	semidirect
97. #500398	C₂²	semidirect
98. #500397	C₂²	semidirect
99. #500384	C₂²	semidirect
100. #500382	C₂²	semidirect
101. #500238	C₂²	semidirect
102. #500235	C₂²	semidirect
103. #500221	C₂²	semidirect
104. #500218	C₂²	semidirect
105. #500191	C₂²	semidirect
106. #500179	C₂²	semidirect
107. #500071	C₂²	semidirect
108. #500066	C₂²	semidirect
109. #500050	C₂²	semidirect
110. #500049	C₂²	semidirect
111. #500036	C₂²	semidirect
112. #500034	C₂²	semidirect
113. #499837	C₂²	semidirect
114. #499831	C₂²	semidirect
115. #499799	C₂²	semidirect
116. #499797	C₂²	semidirect
117. #499788	C₂²	semidirect
118. #499787	C₂²	semidirect
119. #499284	C₂²	semidirect
120. #499281	C₂²	semidirect
121. #496537	C₂²	semidirect
122. #496535	C₂²	semidirect
123. #496520	C₂²	semidirect
124. #496518	C₂²	semidirect
125. #496509	C₂²	semidirect
126. #496508	C₂²	semidirect
127. #496508	C₂²	semidirect
128. #496508	C₂²	semidirect
129. #496417	C₂²	semidirect
130. #496414	C₂²	semidirect
131. #496398	C₂²	semidirect
132. #496334	C₂²	semidirect
133. #496330	C₂²	semidirect
134. #496311	C₂²	semidirect
135. #496230	C₂²	semidirect
136. #496228	C₂²	semidirect
137. #496196	C₂²	semidirect
138. C₄×#2200	C₂²	semidirect
139. C₄×#2196	C₂²	semidirect
140. #495603	C₂²	semidirect
141. #495599	C₂²	semidirect
142. #495592	C₂²	semidirect
143. #495592	C₂²	semidirect
144. #495588	C₂²	semidirect
145. #495587	C₂²	semidirect
146. #495580	C₂²	semidirect
147. #495577	C₂²	semidirect
148. #493997	C₂²	semidirect
149. #493995	C₂²	semidirect
150. #493966	C₂²	semidirect
152. C₂²×#532	D₄	semidirect
160. C₂²×C₄×#41	D₄	semidirect
162. C₂³×C₄×D₄	D₄	semidirect
167. #59632	C₂³	semidirect
168. #59378	C₂³	semidirect
169. #59199	C₂³	semidirect
171. #59001	C₂³	semidirect
172. #59000	C₂³	semidirect
173. #58998	C₂³	semidirect
174. #58997	C₂³	semidirect
175. #58997	C₂³	semidirect
178. #52293	C₂³	semidirect
179. #52103	C₂³	semidirect
180. #52039	C₂³	semidirect
181. #52031	C₂³	semidirect
184. #52003	C₂³	semidirect
185. #51966	C₂³	semidirect
189. #45645	C₂³	semidirect
190. #45622	C₂³	semidirect
191. #45599	C₂³	semidirect
192. #45599	C₂³	semidirect
194. #45502	C₂³	semidirect
195. #45493	C₂³	semidirect
196. #45487	C₂³	semidirect
197. #45478	C₂³	semidirect
200. #35279	D₄	semidirect
202. #35272	D₄	semidirect
204. #35262	D₄	semidirect
206. #35249	D₄	semidirect
208. #35190	D₄	semidirect
210. #34977	D₄	semidirect
212. #34971	D₄	semidirect
214. #34963	D₄	semidirect
215. #34963	D₄	semidirect
216. #34963	D₄	semidirect
217. #34963	D₄	semidirect
218. #34963	D₄	semidirect
219. #34963	D₄	semidirect
220. #34963	D₄	semidirect
228. #34956	D₄	semidirect
230. #34955	D₄	semidirect
231. #34952	D₄	semidirect
234. #34935	D₄	semidirect
236. #34875	D₄	semidirect
238. #34809	D₄	semidirect
239. #34809	D₄	semidirect
241. C₂×#2482	D₄	semidirect
242. C₂×#2487	D₄	semidirect
244. #34736	D₄	semidirect
248. C₂×#2408	D₄	semidirect
250. C₄×#560	C₂³	semidirect
251. C₄×D₄²	C₂³	semidirect
252. C₄×#535	D₄	semidirect
254. C₄×#525	D₄	semidirect
256. C₂×C₄×#120	D₄	semidirect
258. #34012	D₄	semidirect
259. #34012	D₄	semidirect
260. C₂×#2283	D₄	semidirect
339. #13462	C₂³	semidirect
340. #13461	C₂³	semidirect
341. #13423	C₂³	semidirect
342. #13422	C₂³	semidirect
343. #13422	C₂³	semidirect
344. #13422	C₂³	semidirect
345. #13420	C₂³	semidirect
346. #13419	C₂³	semidirect
355. #13299	C₂³	semidirect
356. #13298	C₂³	semidirect
357. #13296	C₂³	semidirect
358. #13295	C₂³	semidirect
359. #13295	C₂³	semidirect
360. #13295	C₂³	semidirect
361. #13294	C₂³	semidirect
362. #13292	C₂³	semidirect
363. #13223	C₂³	semidirect
364. #13223	C₂³	semidirect
365. #13221	C₂³	semidirect
366. #13221	C₂³	semidirect
367. #13221	C₂³	semidirect
368. #13220	C₂³	semidirect
369. #13219	C₂³	semidirect
370. #13218	C₂³	semidirect
389. #12966	C₂³	semidirect
390. #12964	C₂³	semidirect
391. #12961	C₂³	semidirect
392. #12960	C₂³	semidirect
393. #12958	C₂³	semidirect
394. #12958	C₂³	semidirect
398. #12799	C₂³	semidirect
399. #12794	C₂³	semidirect
400. #12793	C₂³	semidirect
401. #12793	C₂³	semidirect
402. #12793	C₂³	semidirect
403. #12762	C₂³	semidirect
404. #12759	C₂³	semidirect
408. C₄×#353	C₂³	semidirect
409. C₄×#352	C₂³	semidirect
410. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
411. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
412. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
426. C₂×#532	C₂×D₄	semidirect
427. C₂×#532	C₂×D₄	semidirect
428. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
429. C₂²×#127	C₂×D₄	semidirect
460. C₂²×C₄×Q₈	C₂×D₄	semidirect
461. C₂²×C₄×Q₈	C₂×D₄	semidirect
474. C₂²×C₄×D₄	C₂×D₄	semidirect
475. C₂²×C₄×D₄	C₂×D₄	semidirect
476. C₂²×C₄×D₄	C₂×D₄	semidirect
483. C₂²×#117	C₂×D₄	semidirect
489. C₂³×C₄²	C₂×D₄	semidirect
507. #2579	C₂×D₄	semidirect
508. #2579	C₂×D₄	semidirect
510. #2568	C₂×D₄	semidirect
511. #2568	C₂×D₄	semidirect
512. #2567	C₂×D₄	semidirect
513. #2567	C₂×D₄	semidirect
516. #2548	C₂×D₄	semidirect
517. #2548	C₂×D₄	semidirect
518. #2548	C₂×D₄	semidirect
519. #2548	C₂×D₄	semidirect
527. #2534	C₂×D₄	semidirect
528. #2534	C₂×D₄	semidirect
532. #2500	C₂×D₄	semidirect
533. #2500	C₂×D₄	semidirect
544. #2487	C₂×D₄	semidirect
545. #2487	C₂×D₄	semidirect
551. #2486	C₂×D₄	semidirect
552. #2486	C₂×D₄	semidirect
554. #2484	C₂×D₄	semidirect
555. #2484	C₂×D₄	semidirect
566. #2482	C₂×D₄	semidirect
567. #2482	C₂×D₄	semidirect
573. #2409	C₂×D₄	semidirect
574. #2409	C₂×D₄	semidirect
586. #2408	C₂×D₄	semidirect
587. #2408	C₂×D₄	semidirect
618. #2326	C₂×D₄	semidirect
619. #2326	C₂×D₄	semidirect
620. #2317	C₂×D₄	semidirect
621. #2317	C₂×D₄	semidirect
624. #2309	C₂×D₄	semidirect
625. #2309	C₂×D₄	semidirect
628. C₄×#124	C₂×D₄	semidirect
629. C₄×#124	C₂×D₄	semidirect
632. C₄×#123	C₂×D₄	semidirect
633. C₄×#123	C₂×D₄	semidirect
634. C₄×#123	C₂×D₄	semidirect
635. C₄×#123	C₂×D₄	semidirect
652. C₄×#120	C₂×D₄	semidirect
653. C₄×#120	C₂×D₄	semidirect
654. C₄×#120	C₂×D₄	semidirect
655. C₄×#120	C₂×D₄	semidirect
664. #2296	C₂×D₄	semidirect
665. #2296	C₂×D₄	semidirect
670. #2285	C₂×D₄	semidirect
671. #2285	C₂×D₄	semidirect
672. #2285	C₂×D₄	semidirect
673. #2285	C₂×D₄	semidirect
681. #2283	C₂×D₄	semidirect
682. #2283	C₂×D₄	semidirect
683. #2283	C₂×D₄	semidirect
684. #2283	C₂×D₄	semidirect
690. #2280	C₂×D₄	semidirect
691. #2280	C₂×D₄	semidirect
698. C₄×#117	C₂×D₄	semidirect
699. C₄×#117	C₂×D₄	semidirect
700. C₄×#117	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72313081	2
#72312648	2
#72312553	2
#72312543	2
#72312491	2
#72312452	2
#72312302	2
#72312191	2
#72312177	2
#72312161	2
#72312140	2
#72312031	2
#72311642	2
#72311167	2
C₂×#6629390	2
#72284341	2
#72278409	2
#72278320	2
#72257824	2
#72257818	2
#72256395	2
#72236596	2