Subgroups — #72316522

Order 2048.

At least 16323 conjugacy classes of subgroups; only the 4048 normal subgroups are shown.

The subgroup lattice has 1444 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72316521	C₂	1	8	yes	maximal, complemented
2	#72316520	C₂	1	8	yes	maximal, complemented
3	#72316519	C₂	1	4	yes	maximal, complemented
4	#72316517	C₂	1	4	yes	maximal, complemented
5	#72316516	C₂	1	8	yes	maximal, complemented
6	#72316514	C₂	1	2	yes	maximal, complemented
7	#72316512	C₂	1	2	yes	maximal, complemented
8	#72316511	C₂	1	2	yes	maximal, complemented
9	#72316510	C₂	1	2	yes	maximal, complemented
10	#72316507	C₂	1	2	yes	maximal, complemented
11	#72316505	C₂	1	2	yes	maximal, complemented
12	C₂×#7708055	C₂	1	1	yes	maximal, characteristic, complemented
13	#72263565	C₂	1	1	yes	maximal, characteristic, complemented
14	#72263564	C₂	1	1	yes	maximal, characteristic, complemented
15	#72263429	C₂	1	2	yes	maximal, complemented
16	#72257570	C₂	1	1	yes	maximal, characteristic, complemented
17	#72251116	C₂	1	1	yes	maximal, characteristic, complemented
18	#72250097	C₂	1	2	yes	maximal, complemented
19	#72238110	C₂	1	1	yes	maximal, characteristic, complemented
20	#72236776	C₂	1	1	yes	maximal, characteristic, complemented
21	#72236618	C₂	1	2	yes	maximal, complemented
22	#72234533	C₂	1	2	yes	maximal, complemented
23	#72231289	C₂	1	2	yes	maximal, complemented
24	#72210575	C₂	1	2	yes	maximal, complemented
25	C₂×#62773	C₂²	1	1	yes	characteristic, complemented
26	#7708055	C₂²	1	4	yes	—
27	#7708055	C₂²	1	4	yes	—
28	#7708055	C₂²	1	4	yes	complemented
29	#7708055	C₂²	1	4	yes	complemented
30	C₂×#52035	C₂²	1	1	yes	characteristic, complemented
31	C₂×#52031	C₂²	1	1	yes	characteristic, complemented
32	C₂×#52012	C₂²	1	1	yes	characteristic
33	C₂×#52004	C₂²	1	1	yes	characteristic
34	C₂×#51993	C₂²	1	1	yes	characteristic
35	C₂×#51940	C₂²	1	1	yes	characteristic
36	C₂×#51860	C₂²	1	1	yes	characteristic, complemented
37	C₂×#51691	C₂²	1	1	yes	characteristic, complemented
38	C₂×#52301	C₂²	1	1	yes	characteristic, complemented
39	C₂×#52185	C₂²	1	1	yes	characteristic, complemented
40	C₂×#34956	C₂²	1	1	yes	characteristic
41	C₂×#34736	C₂²	1	1	yes	characteristic
42	C₂×C₄×#560	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×D₄²	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×#535	C₂²	1	1	yes	characteristic
45	#6629389	C₂²	1	4	yes	complemented
46	#6629386	C₂²	1	4	yes	complemented
47	#6496266	C₂²	1	2	yes	complemented
48	#6496263	C₂²	1	2	yes	complemented
49	#6491482	C₂²	1	4	yes	complemented
50	#6491478	C₂²	1	4	yes	complemented
51	#6491103	C₂²	1	2	yes	—
52	#6491100	C₂²	1	2	yes	—
53	#6489747	C₂²	1	2	yes	complemented
54	#6489745	C₂²	1	2	yes	complemented
55	#6487646	C₂²	1	2	yes	complemented
56	#6487644	C₂²	1	2	yes	complemented
57	#6470226	C₂²	1	2	yes	complemented
58	#6470225	C₂²	1	2	yes	—
59	#6470225	C₂²	1	2	yes	—
60	#6470225	C₂²	1	2	yes	complemented
61	#6454872	C₂²	1	4	yes	complemented
62	#6454869	C₂²	1	4	yes	complemented
63	#6454042	C₂²	1	2	yes	complemented
64	#6454041	C₂²	1	2	yes	—
65	#6454041	C₂²	1	2	yes	—
66	#6454041	C₂²	1	2	yes	complemented
67	#6453847	C₂²	1	4	yes	complemented
68	#6453842	C₂²	1	2	yes	complemented
69	#6453841	C₂²	1	2	yes	—
70	#6453835	C₂²	1	4	yes	complemented
71	#6453830	C₂²	1	2	yes	complemented
72	#6453829	C₂²	1	2	yes	—
73	#6445409	C₂²	1	2	yes	complemented
74	#6442561	C₂²	1	2	yes	complemented
75	#6440354	C₂²	1	2	yes	complemented
76	#6437445	C₂²	1	2	yes	—
77	C₄×#3019	C₂²	1	4	yes	complemented
78	C₂×#20726	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20722	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20722	C₂²	1	1	yes	characteristic, complemented
81	#512146	C₂²	1	4	yes	complemented
82	#512145	C₂²	1	4	yes	complemented
83	#512142	C₂²	1	4	yes	complemented
84	#512142	C₂²	1	4	yes	complemented
85	#512119	C₂²	1	4	yes	complemented
86	#512116	C₂²	1	4	yes	complemented
87	#512012	C₂²	1	8	yes	complemented
88	#512008	C₂²	1	8	yes	complemented
89	#511912	C₂²	1	8	yes	complemented
90	#511908	C₂²	1	8	yes	complemented
91	#511776	C₂²	1	4	yes	complemented
92	#511771	C₂²	1	4	yes	complemented
93	#508250	C₂²	1	8	yes	complemented
94	#508249	C₂²	1	8	yes	complemented
95	#508194	C₂²	1	8	yes	complemented
96	#508193	C₂²	1	8	yes	complemented
97	#508138	C₂²	1	4	yes	complemented
98	#508137	C₂²	1	4	yes	complemented
99	#508089	C₂²	1	4	yes	complemented
100	#508087	C₂²	1	4	yes	complemented
101	#508087	C₂²	1	4	yes	complemented
102	#508087	C₂²	1	4	yes	complemented
103	#508063	C₂²	1	4	yes	complemented
104	#508062	C₂²	1	4	yes	complemented
105	#503590	C₂²	1	8	yes	complemented
106	#503468	C₂²	1	8	yes	complemented
107	#503358	C₂²	1	8	yes	complemented
108	#503206	C₂²	1	8	yes	complemented
109	#503017	C₂²	1	8	yes	complemented
110	#503012	C₂²	1	8	yes	complemented
111	#502825	C₂²	1	8	yes	complemented
112	#502824	C₂²	1	8	yes	complemented
113	#502687	C₂²	1	16	yes	complemented
114	#502685	C₂²	1	16	yes	complemented
115	#501103	C₂²	1	16	yes	complemented
116	#501097	C₂²	1	16	yes	complemented
117	#500966	C₂²	1	16	yes	complemented
118	#500781	C₂²	1	16	yes	complemented
119	#500534	C₂²	1	16	yes	complemented
120	#500533	C₂²	1	16	yes	complemented
121	#500383	C₂²	1	8	yes	complemented
122	#500381	C₂²	1	8	yes	complemented
123	#500190	C₂²	1	8	yes	complemented
124	#500177	C₂²	1	8	yes	complemented
125	#500035	C₂²	1	8	yes	complemented
126	#500033	C₂²	1	8	yes	complemented
127	#499838	C₂²	1	8	yes	complemented
128	#499832	C₂²	1	8	yes	complemented
129	#499283	C₂²	1	16	yes	complemented
130	#499282	C₂²	1	16	yes	complemented
131	#496518	C₂²	1	4	yes	complemented
132	#496516	C₂²	1	4	yes	complemented
133	#496506	C₂²	1	4	yes	complemented
134	#496504	C₂²	1	4	yes	complemented
135	#496416	C₂²	1	2	yes	complemented
136	#496413	C₂²	1	2	yes	complemented
137	#496333	C₂²	1	2	yes	complemented
138	#496330	C₂²	1	2	yes	complemented
139	#496226	C₂²	1	2	yes	complemented
140	#496225	C₂²	1	2	yes	—
141	#496225	C₂²	1	2	yes	—
142	#496225	C₂²	1	2	yes	complemented
143	C₄×#2200	C₂²	1	16	yes	complemented
144	C₄×#2196	C₂²	1	16	yes	complemented
145	#495590	C₂²	1	4	yes	complemented
146	#495588	C₂²	1	4	yes	complemented
147	#495578	C₂²	1	4	yes	complemented
148	#495576	C₂²	1	4	yes	complemented
149	#493996	C₂²	1	2	yes	complemented
150	#493995	C₂²	1	2	yes	complemented
151	#493995	C₂²	1	2	yes	complemented
152	#493995	C₂²	1	2	yes	complemented
153	#493972	C₂²	1	4	yes	complemented
154	#493965	C₂²	1	4	yes	complemented
155	#493963	C₂²	1	2	yes	complemented
156	#493962	C₂²	1	2	yes	complemented
157	#493956	C₂²	1	2	yes	complemented
158	#493955	C₂²	1	2	yes	complemented
159	#493883	C₂²	1	2	yes	complemented
160	#493746	C₂²	1	4	yes	complemented
161	#493370	C₂²	1	2	yes	—
162	C₄×#2127	C₂²	1	4	yes	complemented
163	C₂⁴×#41	D₄	1	1	yes	characteristic, complemented
164	#62773	C₂³	1	2	yes	—
165	#62773	C₂³	1	2	yes	—
166	#62773	C₂³	1	2	yes	complemented
167	#62773	C₂³	1	2	yes	complemented
168	C₂×#3501	C₂³	1	1	yes	characteristic, complemented
169	C₂×#3496	C₂³	1	1	yes	characteristic, complemented
170	C₂×#3484	C₂³	1	2	yes	—
171	C₂²×D₄²	C₂³	1	1	yes	characteristic
172	C₂²×#560	C₂³	1	1	yes	characteristic
173	C₂²×#535	C₂³	1	1	yes	characteristic
174	C₂×C₄×H(5,𝔽₂)	C₂³	1	2	yes	complemented
175	C₂²×C₄×#41	D₄	1	1	yes	characteristic, complemented
176	C₂³×C₄×D₄	D₄	1	1	yes	characteristic, complemented
177	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
178	C₂×#3019	C₂³	1	4	yes	—
179	#52301	C₂³	1	4	yes	—
180	#52301	C₂³	1	4	yes	—
181	C₂×#2804	C₂³	1	1	yes	characteristic
182	#52185	C₂³	1	4	yes	—
183	#52185	C₂³	1	4	yes	—
184	C₂×#2748	C₂³	1	1	yes	characteristic
185	C₂×#2717	C₂³	1	1	yes	characteristic
186	C₂×#2697	C₂³	1	1	yes	characteristic
187	C₂×#2684	C₂³	1	1	yes	characteristic
188	C₂×#2684	C₂³	1	1	yes	characteristic
189	C₂×#2684	C₂³	1	1	yes	characteristic
190	C₂×#2679	C₂³	1	1	yes	characteristic
191	#52035	C₂³	1	4	yes	—
192	#52035	C₂³	1	4	yes	—
193	#52031	C₂³	1	4	yes	—
194	#52031	C₂³	1	4	yes	—
195	#52012	C₂³	1	4	yes	—
196	#52012	C₂³	1	4	yes	—
197	#52004	C₂³	1	4	yes	—
198	#52004	C₂³	1	4	yes	—
199	#51993	C₂³	1	4	yes	—
200	#51993	C₂³	1	4	yes	—
201	#51940	C₂³	1	4	yes	—
202	#51940	C₂³	1	4	yes	—
203	#51860	C₂³	1	4	yes	—
204	#51860	C₂³	1	4	yes	—
205	#51691	C₂³	1	4	yes	—
206	#51691	C₂³	1	4	yes	—
207	#34956	D₄	1	2	yes	complemented
208	#34956	D₄	1	2	yes	complemented
209	#34956	D₄	1	2	yes	complemented
210	#34956	D₄	1	2	yes	complemented
211	#34956	C₂³	1	2	yes	—
212	#34956	C₂³	1	2	yes	—
213	#34956	C₂³	1	2	yes	—
214	#34956	C₂³	1	2	yes	—
215	C₂×#2579	D₄	1	1	yes	characteristic, complemented
216	C₂×#2579	C₂³	1	1	yes	characteristic
217	C₂×#2534	D₄	1	1	yes	characteristic, complemented
218	C₂×#2534	C₂³	1	1	yes	characteristic
219	C₂×#2483	D₄	1	1	yes	characteristic, complemented
220	#34736	D₄	1	2	yes	complemented
221	#34736	D₄	1	2	yes	complemented
222	#34736	D₄	1	2	yes	complemented
223	#34736	D₄	1	2	yes	complemented
224	#34736	C₂³	1	2	yes	—
225	#34736	C₂³	1	2	yes	—
226	#34736	C₂³	1	2	yes	—
227	#34736	C₂³	1	2	yes	—
228	C₂×#2409	D₄	1	1	yes	characteristic, complemented
229	C₂×#2409	C₂³	1	1	yes	characteristic
230	C₂×#2408	D₄	1	1	yes	characteristic, complemented
231	C₂×#2408	C₂³	1	1	yes	characteristic
232	C₂×#2405	D₄	1	1	yes	characteristic, complemented
233	C₂×#2405	D₄	1	1	yes	characteristic, complemented
234	C₂×#2405	D₄	1	1	yes	characteristic, complemented
235	C₂×#2405	C₂³	1	1	yes	characteristic
236	C₂×#2403	C₂³	1	1	yes	characteristic
237	C₂×#2403	C₂³	1	1	yes	characteristic
238	C₂×#2403	C₂³	1	1	yes	characteristic
239	C₄×#560	C₂³	1	4	yes	—
240	C₄×#560	C₂³	1	4	yes	—
241	C₂×#2380	C₂³	1	1	yes	characteristic
242	C₂×#2376	C₂³	1	1	yes	characteristic
243	C₂×#2375	C₂³	1	1	yes	characteristic
244	C₄×D₄²	C₂³	1	4	yes	—
245	C₄×D₄²	C₂³	1	4	yes	—
246	C₂×#2366	C₂³	1	1	yes	characteristic
247	C₂×#2358	C₂³	1	1	yes	characteristic
248	C₂×#2358	C₂³	1	1	yes	characteristic
249	C₄×#535	D₄	1	2	yes	complemented
250	C₄×#535	D₄	1	2	yes	complemented
251	C₄×#535	D₄	1	2	yes	complemented
252	C₄×#535	D₄	1	2	yes	complemented
253	C₄×#535	C₂³	1	2	yes	—
254	C₄×#535	C₂³	1	2	yes	—
255	C₄×#535	C₂³	1	2	yes	—
256	C₄×#535	C₂³	1	2	yes	—
257	C₂×#2328	D₄	1	1	yes	characteristic, complemented
258	C₂×#2328	C₂³	1	1	yes	characteristic
259	C₂×#2326	D₄	1	1	yes	characteristic, complemented
260	C₂×#2326	C₂³	1	1	yes	characteristic
261	C₂×#2317	D₄	1	1	yes	characteristic, complemented
262	C₂×#2311	D₄	1	1	yes	characteristic, complemented
263	C₂×#2309	C₂³	1	1	yes	characteristic
264	C₂×C₄×#127	D₄	1	1	yes	characteristic, complemented
265	C₂×C₄×#127	C₂³	1	1	yes	characteristic
266	C₂×C₄×#124	D₄	1	1	yes	characteristic, complemented
267	C₂×C₄×#124	C₂³	1	1	yes	characteristic
268	C₂×C₄×#123	D₄	1	1	yes	characteristic, complemented
269	C₂×C₄×#123	C₂³	1	1	yes	characteristic
270	C₂×C₄×#120	D₄	1	1	yes	characteristic, complemented
271	C₂×C₄×#120	D₄	1	1	yes	characteristic, complemented
272	C₂×C₄×#120	D₄	1	1	yes	characteristic, complemented
273	C₂×C₄×#120	C₂³	1	1	yes	characteristic
274	C₂×C₄×#120	C₂³	1	1	yes	characteristic
275	C₂×C₄×#120	C₂³	1	1	yes	characteristic
276	C₂×#2280	D₄	1	1	yes	characteristic, complemented
277	C₂×#2280	D₄	1	1	yes	characteristic, complemented
278	C₂×C₄×#117	D₄	1	1	yes	characteristic, complemented
279	C₂×#2200	C₂³	1	16	yes	—
280	C₂×#2196	C₂³	1	16	yes	—
281	C₂×#2127	C₂³	1	8	yes	—
282	#33022	C₂³	1	4	yes	complemented
283	#33020	C₂³	1	4	yes	—
284	#33020	C₂³	1	4	yes	—
285	#33020	C₂³	1	4	yes	complemented
286	#32977	C₂³	1	8	yes	complemented
287	#32975	C₂³	1	8	yes	complemented
288	#32928	C₂³	1	8	yes	—
289	#32926	C₂³	1	8	yes	—
290	#32900	C₂³	1	4	yes	complemented
291	#32898	C₂³	1	4	yes	—
292	#32898	C₂³	1	4	yes	—
293	#32898	C₂³	1	4	yes	complemented
294	#25949	C₂³	1	4	yes	—
295	#25947	C₂³	1	4	yes	—
296	#25901	C₂³	1	4	yes	complemented
297	#25899	C₂³	1	4	yes	complemented
298	#25854	C₂³	1	4	yes	complemented
299	#25852	C₂³	1	4	yes	complemented
300	#25773	C₂³	1	4	yes	—
301	#25771	C₂³	1	4	yes	—
302	#24405	C₂³	1	8	yes	complemented
303	#24404	C₂³	1	8	yes	—
304	#24404	C₂³	1	8	yes	—
305	#24404	C₂³	1	8	yes	complemented
306	#24351	C₂³	1	4	yes	complemented
307	#24350	C₂³	1	4	yes	—
308	#24350	C₂³	1	4	yes	—
309	#24350	C₂³	1	4	yes	complemented
310	#24318	C₂³	1	4	yes	complemented
311	#24316	C₂³	1	4	yes	—
312	#24314	C₂³	1	4	yes	complemented
313	#24312	C₂³	1	4	yes	—
314	#24261	C₂³	1	4	yes	complemented
315	#24260	C₂³	1	4	yes	—
316	#24260	C₂³	1	4	yes	—
317	#24260	C₂³	1	4	yes	complemented
318	#24228	C₂³	1	4	yes	complemented
319	#24226	C₂³	1	4	yes	—
320	#24224	C₂³	1	4	yes	complemented
321	#24222	C₂³	1	4	yes	—
322	#24056	C₂³	1	4	yes	—
323	#24056	C₂³	1	4	yes	—
324	#24056	C₂³	1	4	yes	—
325	#24056	C₂³	1	4	yes	—
326	#24022	C₂³	1	8	yes	complemented
327	#24018	C₂³	1	4	yes	—
328	#24018	C₂³	1	4	yes	—
329	#23912	C₂³	1	8	yes	—
330	#23907	C₂³	1	4	yes	—
331	#23906	C₂³	1	4	yes	—
332	#23901	C₂³	1	4	yes	—
333	#23900	C₂³	1	4	yes	—
334	#23900	C₂³	1	4	yes	—
335	#23900	C₂³	1	4	yes	—
336	C₄×#458	C₂³	1	8	yes	complemented
337	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
338	C₄×B(4,𝔽₂)	C₂³	1	8	yes	—
339	C₄×B(4,𝔽₂)	C₂³	1	8	yes	complemented
340	#21474	C₂³	1	8	yes	complemented
341	#21473	C₂³	1	8	yes	—
342	C₄×#455	C₂³	1	8	yes	complemented
343	C₄×#453	C₂³	1	8	yes	—
344	#20953	C₂³	1	4	yes	—
345	#20856	C₂³	1	4	yes	complemented
346	#20726	C₂³	1	2	yes	—
347	#20726	C₂³	1	2	yes	—
348	#20726	C₂³	1	2	yes	complemented
349	#20726	C₂³	1	2	yes	complemented
350	#20722	C₂³	1	2	yes	—
351	#20722	C₂³	1	2	yes	—
352	#20722	C₂³	1	2	yes	—
353	#20722	C₂³	1	2	yes	—
354	#20722	C₂³	1	2	yes	complemented
355	#20722	C₂³	1	2	yes	complemented
356	#20722	C₂³	1	2	yes	complemented
357	#20722	C₂³	1	2	yes	complemented
358	C₂×#1800	C₂³	1	2	yes	complemented
359	C₂×#1799	C₂³	1	2	yes	complemented
360	C₂×#1799	C₂³	1	2	yes	complemented
361	#20616	C₂³	1	4	yes	complemented
362	C₂×#1783	C₂³	1	2	yes	—
363	C₂×#1781	C₂³	1	2	yes	—
364	C₂×#1781	C₂³	1	2	yes	—
365	C₂×C₄×#100	C₂³	1	2	yes	complemented
366	C₂×C₄×#99	C₂³	1	2	yes	complemented
367	C₂×C₄×#99	C₂³	1	2	yes	complemented
368	#13463	C₂³	1	16	yes	complemented
369	#13462	C₂³	1	16	yes	complemented
370	#13425	C₂³	1	16	yes	complemented
371	#13424	C₂³	1	16	yes	—
372	#13424	C₂³	1	16	yes	—
373	#13424	C₂³	1	16	yes	complemented
374	#13420	C₂³	1	16	yes	—
375	#13419	C₂³	1	16	yes	—
376	#13377	C₂³	1	16	yes	complemented
377	#13376	C₂³	1	16	yes	complemented
378	#13349	C₂³	1	16	yes	complemented
379	#13348	C₂³	1	16	yes	—
380	#13348	C₂³	1	16	yes	—
381	#13348	C₂³	1	16	yes	complemented
382	#13344	C₂³	1	16	yes	—
383	#13343	C₂³	1	16	yes	—
384	#13297	C₂³	1	8	yes	complemented
385	#13296	C₂³	1	8	yes	complemented
386	#13294	C₂³	1	8	yes	complemented
387	#13293	C₂³	1	8	yes	complemented
388	#13222	C₂³	1	8	yes	—
389	#13221	C₂³	1	8	yes	—
390	#13219	C₂³	1	8	yes	—
391	#13218	C₂³	1	8	yes	—
392	#13086	C₂³	1	8	yes	—
393	#13086	C₂³	1	8	yes	—
394	#13086	C₂³	1	8	yes	complemented
395	#13084	C₂³	1	8	yes	complemented
396	#13082	C₂³	1	8	yes	—
397	#13082	C₂³	1	8	yes	—
398	#13082	C₂³	1	8	yes	complemented
399	#13080	C₂³	1	8	yes	complemented
400	#13049	C₂³	1	16	yes	—
401	#13047	C₂³	1	16	yes	—
402	#13044	C₂³	1	16	yes	complemented
403	#13043	C₂³	1	16	yes	complemented
404	#13041	C₂³	1	16	yes	—
405	#13041	C₂³	1	16	yes	—
406	#12966	C₂³	1	16	yes	—
407	#12964	C₂³	1	16	yes	—
408	#12961	C₂³	1	16	yes	complemented
409	#12960	C₂³	1	16	yes	complemented
410	#12958	C₂³	1	16	yes	—
411	#12958	C₂³	1	16	yes	—
412	#12858	C₂³	1	8	yes	complemented
413	#12856	C₂³	1	4	yes	—
414	#12856	C₂³	1	4	yes	—
415	#12852	C₂³	1	4	yes	—
416	#12852	C₂³	1	4	yes	—
417	#12852	C₂³	1	4	yes	—
418	#12852	C₂³	1	4	yes	—
419	#12800	C₂³	1	8	yes	complemented
420	#12799	C₂³	1	8	yes	—
421	#12798	C₂³	1	8	yes	complemented
422	#12797	C₂³	1	8	yes	—
423	#12794	C₂³	1	8	yes	complemented
424	#12793	C₂³	1	8	yes	—
425	#12793	C₂³	1	8	yes	—
426	#12793	C₂³	1	8	yes	complemented
427	#12762	C₂³	1	16	yes	—
428	#12759	C₂³	1	16	yes	—
429	#12696	C₂³	1	8	yes	—
430	#12694	C₂³	1	4	yes	—
431	#12693	C₂³	1	4	yes	—
432	#12688	C₂³	1	4	yes	—
433	#12687	C₂³	1	4	yes	—
434	#12687	C₂³	1	4	yes	—
435	#12687	C₂³	1	4	yes	—
436	#12628	C₂³	1	8	yes	—
437	#12627	C₂³	1	8	yes	complemented
438	C₄×#354	C₂³	1	8	yes	complemented
439	C₄×#353	C₂³	1	8	yes	—
440	C₄×#352	C₂³	1	8	yes	complemented
441	C₄×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	—
442	C₄×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	—
443	C₄×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	complemented
444	#12582	C₂³	1	8	yes	complemented
445	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
446	C₂³×#41	C₂×D₄	1	1	yes	characteristic
447	C₂³×#41	C₂×D₄	1	2	yes	—
448	C₂³×#41	C₂×D₄	1	2	yes	—
449	C₂³×#41	C₂×D₄	1	2	yes	—
450	C₂³×#41	C₂×D₄	1	2	yes	—
451	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
452	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
453	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
454	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
455	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
456	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
457	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
458	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
459	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
460	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
461	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
462	C₂×#560	C₂⁴	1	4	yes	—
463	#3501	C₂⁴	1	2	yes	—
464	#3501	C₂⁴	1	2	yes	—
465	#3496	C₂⁴	1	2	yes	—
466	#3496	C₂⁴	1	2	yes	—
467	#3484	C₂⁴	1	4	yes	—
468	#3484	C₂⁴	1	4	yes	—
469	C₂×D₄²	C₂⁴	1	4	yes	—
470	C₂×#535	C₂×D₄	1	2	yes	—
471	C₂×#535	C₂×D₄	1	2	yes	—
472	C₂×#535	C₂⁴	1	2	yes	—
473	C₂×#535	C₂⁴	1	2	yes	—
474	C₂²×#127	C₂×D₄	1	1	yes	characteristic
475	C₂²×#127	C₂⁴	1	1	yes	characteristic
476	C₂²×#124	C₂×D₄	1	1	yes	characteristic
477	C₂²×#124	C₂⁴	1	1	yes	characteristic
478	C₂²×#123	C₂×D₄	1	1	yes	characteristic
479	C₂²×#123	C₂⁴	1	1	yes	characteristic
480	C₂²×#120	C₂×D₄	1	1	yes	characteristic
481	C₂²×#120	C₂×D₄	1	1	yes	characteristic
482	C₂²×#120	C₂×D₄	1	1	yes	characteristic
483	C₂²×#120	C₂⁴	1	1	yes	characteristic
484	C₂²×#120	C₂⁴	1	1	yes	characteristic
485	C₂²×#120	C₂⁴	1	1	yes	characteristic
486	C₄×H(5,𝔽₂)	C₂⁴	1	4	yes	—
487	C₄×H(5,𝔽₂)	C₂⁴	1	4	yes	—
488	C₂×#518	C₂⁴	1	2	yes	—
489	C₂×C₄×#41	C₂×D₄	1	2	yes	—
490	C₂×C₄×#41	C₂×D₄	1	2	yes	—
491	C₂×C₄×#41	C₂×D₄	1	2	yes	—
492	C₂×C₄×#41	C₂×D₄	1	2	yes	—
493	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
494	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
495	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
496	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
497	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
498	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
499	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
500	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
501	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
502	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
503	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
504	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
505	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
506	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
507	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
508	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
509	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
510	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
511	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
512	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
513	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
514	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
515	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
516	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
517	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
518	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
519	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
525	C₂²×#117	C₂×D₄	1	1	yes	characteristic
526	C₂²×#117	C₂×D₄	1	1	yes	characteristic
527	C₂²×#117	C₂×D₄	1	1	yes	characteristic
528	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
529	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
530	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
531	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
532	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
533	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
534	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
535	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
536	C₂×#458	C₂⁴	1	8	yes	—
537	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
538	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
539	C₂×B(4,𝔽₂)	C₂⁴	1	8	yes	—
540	C₂×#455	C₂⁴	1	8	yes	—
541	C₂×#453	C₂⁴	1	8	yes	—
542	C₂²×#100	C₂⁴	1	4	yes	—
543	C₂²×#99	C₂⁴	1	4	yes	—
544	C₂²×#99	C₂⁴	1	4	yes	—
545	#2804	C₂⁴	1	4	yes	—
546	#2748	C₂⁴	1	4	yes	—
547	#2717	C₂⁴	1	4	yes	—
548	#2697	C₂⁴	1	4	yes	—
549	#2684	C₂⁴	1	4	yes	—
550	#2684	C₂⁴	1	4	yes	—
551	#2684	C₂⁴	1	4	yes	—
552	#2679	C₂⁴	1	4	yes	—
553	#2579	C₂×D₄	1	2	yes	—
554	#2579	C₂×D₄	1	2	yes	—
555	#2579	C₂×D₄	1	2	yes	—
556	#2579	C₂×D₄	1	2	yes	—
557	#2579	C₂×D₄	1	2	yes	—
558	#2579	C₂×D₄	1	2	yes	—
559	#2579	C₂⁴	1	2	yes	—
560	#2579	C₂⁴	1	2	yes	—
561	#2534	C₂×D₄	1	2	yes	—
562	#2534	C₂×D₄	1	2	yes	—
563	#2534	C₂×D₄	1	2	yes	—
564	#2534	C₂×D₄	1	2	yes	—
565	#2534	C₂×D₄	1	2	yes	—
566	#2534	C₂×D₄	1	2	yes	—
567	#2534	C₂⁴	1	2	yes	—
568	#2534	C₂⁴	1	2	yes	—
569	#2483	C₂×D₄	1	2	yes	—
570	#2483	C₂×D₄	1	2	yes	—
571	#2483	C₂×D₄	1	2	yes	—
572	#2483	C₂×D₄	1	2	yes	—
573	#2409	C₂×D₄	1	2	yes	—
574	#2409	C₂×D₄	1	2	yes	—
575	#2409	C₂×D₄	1	2	yes	—
576	#2409	C₂×D₄	1	2	yes	—
577	#2409	C₂×D₄	1	2	yes	—
578	#2409	C₂×D₄	1	2	yes	—
579	#2409	C₂⁴	1	2	yes	—
580	#2409	C₂⁴	1	2	yes	—
581	#2408	C₂×D₄	1	2	yes	—
582	#2408	C₂×D₄	1	2	yes	—
583	#2408	C₂×D₄	1	2	yes	—
584	#2408	C₂×D₄	1	2	yes	—
585	#2408	C₂×D₄	1	2	yes	—
586	#2408	C₂×D₄	1	2	yes	—
587	#2408	C₂⁴	1	2	yes	—
588	#2408	C₂⁴	1	2	yes	—
589	#2405	C₂×D₄	1	2	yes	—
590	#2405	C₂×D₄	1	2	yes	—
591	#2405	C₂×D₄	1	2	yes	—
592	#2405	C₂×D₄	1	2	yes	—
593	#2405	C₂×D₄	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	C₂×D₄	1	2	yes	—
598	#2405	C₂×D₄	1	2	yes	—
599	#2405	C₂×D₄	1	2	yes	—
600	#2405	C₂×D₄	1	2	yes	—
601	#2405	C₂×D₄	1	2	yes	—
602	#2405	C₂×D₄	1	2	yes	—
603	#2405	C₂⁴	1	2	yes	—
604	#2405	C₂⁴	1	2	yes	—
605	#2403	C₂×D₄	1	2	yes	—
606	#2403	C₂×D₄	1	2	yes	—
607	#2403	C₂×D₄	1	2	yes	—
608	#2403	C₂×D₄	1	2	yes	—
609	#2403	C₂×D₄	1	2	yes	—
610	#2403	C₂×D₄	1	2	yes	—
611	#2403	C₂⁴	1	2	yes	—
612	#2403	C₂⁴	1	2	yes	—
613	#2403	C₂⁴	1	2	yes	—
614	#2403	C₂⁴	1	2	yes	—
615	#2403	C₂⁴	1	2	yes	—
616	#2403	C₂⁴	1	2	yes	—
617	#2380	C₂⁴	1	4	yes	—
618	#2376	C₂⁴	1	4	yes	—
619	#2375	C₂⁴	1	4	yes	—
620	#2366	C₂⁴	1	4	yes	—
621	#2358	C₂⁴	1	4	yes	—
622	#2358	C₂⁴	1	4	yes	—
623	#2328	C₂×D₄	1	2	yes	—
624	#2328	C₂×D₄	1	2	yes	—
625	#2328	C₂×D₄	1	2	yes	—
626	#2328	C₂×D₄	1	2	yes	—
627	#2328	C₂×D₄	1	2	yes	—
628	#2328	C₂×D₄	1	2	yes	—
629	#2328	C₂⁴	1	2	yes	—
630	#2328	C₂⁴	1	2	yes	—
631	#2326	C₂×D₄	1	2	yes	—
632	#2326	C₂×D₄	1	2	yes	—
633	#2326	C₂×D₄	1	2	yes	—
634	#2326	C₂×D₄	1	2	yes	—
635	#2326	C₂×D₄	1	2	yes	—
636	#2326	C₂×D₄	1	2	yes	—
637	#2326	C₂⁴	1	2	yes	—
638	#2326	C₂⁴	1	2	yes	—
639	#2317	C₂×D₄	1	2	yes	—
640	#2317	C₂×D₄	1	2	yes	—
641	#2317	C₂×D₄	1	2	yes	—
642	#2317	C₂×D₄	1	2	yes	—
643	#2311	C₂×D₄	1	2	yes	—
644	#2311	C₂×D₄	1	2	yes	—
645	#2311	C₂×D₄	1	2	yes	—
646	#2311	C₂×D₄	1	2	yes	—
647	#2309	C₂×D₄	1	2	yes	—
648	#2309	C₂×D₄	1	2	yes	—
649	#2309	C₂⁴	1	2	yes	—
650	#2309	C₂⁴	1	2	yes	—
651	C₄×#127	C₂×D₄	1	2	yes	—
652	C₄×#127	C₂×D₄	1	2	yes	—
653	C₄×#127	C₂×D₄	1	2	yes	—
654	C₄×#127	C₂×D₄	1	2	yes	—
655	C₄×#127	C₂×D₄	1	2	yes	—
656	C₄×#127	C₂×D₄	1	2	yes	—
657	C₄×#127	C₂⁴	1	2	yes	—
658	C₄×#127	C₂⁴	1	2	yes	—
659	C₄×#124	C₂×D₄	1	2	yes	—
660	C₄×#124	C₂×D₄	1	2	yes	—
661	C₄×#124	C₂×D₄	1	2	yes	—
662	C₄×#124	C₂×D₄	1	2	yes	—
663	C₄×#124	C₂×D₄	1	2	yes	—
664	C₄×#124	C₂×D₄	1	2	yes	—
665	C₄×#124	C₂⁴	1	2	yes	—
666	C₄×#124	C₂⁴	1	2	yes	—
667	C₄×#123	C₂×D₄	1	2	yes	—
668	C₄×#123	C₂×D₄	1	2	yes	—
669	C₄×#123	C₂×D₄	1	2	yes	—
670	C₄×#123	C₂×D₄	1	2	yes	—
671	C₄×#123	C₂×D₄	1	2	yes	—
672	C₄×#123	C₂×D₄	1	2	yes	—
673	C₄×#123	C₂⁴	1	2	yes	—
674	C₄×#123	C₂⁴	1	2	yes	—
675	C₄×#120	C₂×D₄	1	2	yes	—
676	C₄×#120	C₂×D₄	1	2	yes	—
677	C₄×#120	C₂×D₄	1	2	yes	—
678	C₄×#120	C₂×D₄	1	2	yes	—
679	C₄×#120	C₂×D₄	1	2	yes	—
680	C₄×#120	C₂×D₄	1	2	yes	—
681	C₄×#120	C₂×D₄	1	2	yes	—
682	C₄×#120	C₂×D₄	1	2	yes	—
683	C₄×#120	C₂×D₄	1	2	yes	—
684	C₄×#120	C₂×D₄	1	2	yes	—
685	C₄×#120	C₂×D₄	1	2	yes	—
686	C₄×#120	C₂×D₄	1	2	yes	—
687	C₄×#120	C₂×D₄	1	2	yes	—
688	C₄×#120	C₂×D₄	1	2	yes	—
689	C₄×#120	C₂×D₄	1	2	yes	—
690	C₄×#120	C₂×D₄	1	2	yes	—
691	C₄×#120	C₂×D₄	1	2	yes	—
692	C₄×#120	C₂×D₄	1	2	yes	—
693	C₄×#120	C₂⁴	1	2	yes	—
694	C₄×#120	C₂⁴	1	2	yes	—
695	C₄×#120	C₂⁴	1	2	yes	—
696	C₄×#120	C₂⁴	1	2	yes	—
697	C₄×#120	C₂⁴	1	2	yes	—
698	C₄×#120	C₂⁴	1	2	yes	—
699	C₂×#391	C₂×D₄	1	1	yes	characteristic
700	C₂×#391	C₂×D₄	1	1	yes	characteristic
701	C₂×#390	C₂×D₄	1	1	yes	characteristic
702	C₂×#390	C₂×D₄	1	1	yes	characteristic
703	C₂×#390	C₂×D₄	1	1	yes	characteristic
704	C₂×#390	C₂×D₄	1	1	yes	characteristic
705	C₂×#390	C₂⁴	1	1	yes	characteristic
706	C₂×#390	C₂⁴	1	1	yes	characteristic
707	C₂×#386	C₂×D₄	1	1	yes	characteristic
708	C₂×#386	C₂×D₄	1	1	yes	characteristic
709	C₂×#386	C₂×D₄	1	1	yes	characteristic
710	C₂×#386	C₂×D₄	1	1	yes	characteristic
711	C₂×#386	C₂⁴	1	1	yes	characteristic
712	C₂×#386	C₂⁴	1	1	yes	characteristic
713	C₂×#386	C₂⁴	1	1	yes	characteristic
714	C₂×#386	C₂⁴	1	1	yes	characteristic
715	C₂×#385	C₂×D₄	1	1	yes	characteristic
716	C₂×#385	C₂×D₄	1	1	yes	characteristic
717	C₂×#385	C₂×D₄	1	1	yes	characteristic
718	C₂×#385	C₂×D₄	1	1	yes	characteristic
719	C₂×#385	C₂×D₄	1	1	yes	characteristic
720	C₂×#385	C₂×D₄	1	1	yes	characteristic
721	C₂×#385	C₂×D₄	1	1	yes	characteristic
722	C₂×#385	C₂×D₄	1	1	yes	characteristic
723	C₂×#384	C₂×D₄	1	1	yes	characteristic
724	C₂×#384	C₂×D₄	1	1	yes	characteristic
725	C₂×#382	C₂×D₄	1	1	yes	characteristic
726	C₂×#382	C₂×D₄	1	1	yes	characteristic
727	#2280	C₂×D₄	1	2	yes	—
728	#2280	C₂×D₄	1	2	yes	—
729	#2280	C₂×D₄	1	2	yes	—
730	#2280	C₂×D₄	1	2	yes	—
731	#2280	C₂×D₄	1	2	yes	—
732	#2280	C₂×D₄	1	2	yes	—
733	#2280	C₂×D₄	1	2	yes	—
734	#2280	C₂×D₄	1	2	yes	—
735	C₂×#381	C₂×D₄	1	1	yes	characteristic
736	C₂×#381	C₂×D₄	1	1	yes	characteristic
737	C₂×#380	C₂×D₄	1	1	yes	characteristic
738	C₂×#380	C₂×D₄	1	1	yes	characteristic
739	C₂×#380	C₂×D₄	1	1	yes	characteristic
740	C₂×#380	C₂×D₄	1	1	yes	characteristic
741	C₂×#379	C₂×D₄	1	1	yes	characteristic
742	C₂×#379	C₂×D₄	1	1	yes	characteristic
743	C₂×#379	C₂×D₄	1	1	yes	characteristic
744	C₂×#379	C₂×D₄	1	1	yes	characteristic
745	C₂×#379	C₂×D₄	1	1	yes	characteristic
746	C₂×#379	C₂×D₄	1	1	yes	characteristic
747	C₂×#379	C₂×D₄	1	1	yes	characteristic
748	C₂×#379	C₂×D₄	1	1	yes	characteristic
749	C₂×#379	C₂×D₄	1	1	yes	characteristic
750	C₂×#379	C₂×D₄	1	1	yes	characteristic
751	C₄×#117	C₂×D₄	1	2	yes	—
752	C₄×#117	C₂×D₄	1	2	yes	—
753	C₄×#117	C₂×D₄	1	2	yes	—
754	C₄×#117	C₂×D₄	1	2	yes	—
755	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
756	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
757	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
758	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
759	C₂×#376	C₂×D₄	1	1	yes	characteristic
760	C₂×#376	C₂×D₄	1	1	yes	characteristic
761	C₂×C₄³	C₂×D₄	1	1	yes	characteristic
762	C₂×C₄³	C₂×D₄	1	1	yes	characteristic
763	C₂×#354	C₂⁴	1	16	yes	—
764	C₂×#353	C₂⁴	1	16	yes	—
765	C₂×#352	C₂⁴	1	16	yes	—
766	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
767	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
768	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
769	#1890	C₂⁴	1	8	yes	—
770	#1889	C₂⁴	1	8	yes	—
771	#1889	C₂⁴	1	8	yes	—
772	#1889	C₂⁴	1	8	yes	—
773	#1887	C₂⁴	1	8	yes	—
774	#1885	C₂⁴	1	8	yes	—
775	#1867	C₂⁴	1	8	yes	—
776	#1867	C₂⁴	1	8	yes	—
777	#1867	C₂⁴	1	8	yes	—
778	#1867	C₂⁴	1	8	yes	—
779	#1856	C₂⁴	1	8	yes	—
780	#1856	C₂⁴	1	8	yes	—
781	#1800	C₂⁴	1	4	yes	—
782	#1800	C₂⁴	1	4	yes	—
783	#1799	C₂⁴	1	4	yes	—
784	#1799	C₂⁴	1	4	yes	—
785	#1799	C₂⁴	1	4	yes	—
786	#1799	C₂⁴	1	4	yes	—
787	#1792	C₂⁴	1	8	yes	—
788	#1792	C₂⁴	1	8	yes	—
789	#1790	C₂⁴	1	8	yes	—
790	#1790	C₂⁴	1	8	yes	—
791	#1790	C₂⁴	1	8	yes	—
792	#1790	C₂⁴	1	8	yes	—
793	#1783	C₂⁴	1	4	yes	—
794	#1783	C₂⁴	1	4	yes	—
795	#1781	C₂⁴	1	4	yes	—
796	#1781	C₂⁴	1	4	yes	—
797	#1781	C₂⁴	1	4	yes	—
798	#1781	C₂⁴	1	4	yes	—
799	C₄×#100	C₂⁴	1	4	yes	—
800	C₄×#100	C₂⁴	1	4	yes	—
801	C₄×#99	C₂⁴	1	4	yes	—
802	C₄×#99	C₂⁴	1	4	yes	—
803	C₄×#99	C₂⁴	1	4	yes	—
804	C₄×#99	C₂⁴	1	4	yes	—
805	#1393	C₂⁴	1	16	yes	—
806	#1393	C₂⁴	1	16	yes	—
807	#1390	C₂⁴	1	16	yes	—
808	#1390	C₂⁴	1	16	yes	—
809	#1390	C₂⁴	1	16	yes	—
810	#1390	C₂⁴	1	16	yes	—
811	C₂⁶	C₂²×D₄	1	1	yes	characteristic
812	C₂⁶	C₂²×D₄	1	1	yes	characteristic
813	C₂⁶	C₂²×D₄	1	1	yes	characteristic
814	C₂⁶	C₂²×D₄	1	1	yes	characteristic
815	C₂⁶	C₂²×D₄	1	1	yes	characteristic
816	C₂×H(5,𝔽₂)	C₂⁵	1	4	yes	—
817	C₂²×#41	C₂²×D₄	1	2	yes	—
818	C₂²×#41	C₂²×D₄	1	2	yes	—
819	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
820	C₂³×Q₈	C₂²×D₄	1	2	yes	—
821	C₂³×Q₈	C₂²×D₄	1	2	yes	—
822	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
823	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
824	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
825	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
826	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
827	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
828	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
829	C₂³×D₄	C₂²×D₄	1	2	yes	—
830	C₂³×D₄	C₂²×D₄	1	2	yes	—
831	C₂³×D₄	C₂²×D₄	1	2	yes	—
832	C₂³×D₄	C₂²×D₄	1	2	yes	—
833	C₂³×D₄	C₂²×D₄	1	2	yes	—
834	C₂³×D₄	C₂²×D₄	1	2	yes	—
835	C₂³×D₄	C₂²×D₄	1	2	yes	—
836	C₂³×D₄	C₂²×D₄	1	2	yes	—
837	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
838	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
839	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
840	C₂³×D₄	C₂⁵	1	1	yes	characteristic
841	C₂³×D₄	C₂⁵	1	1	yes	characteristic
842	C₂³×D₄	C₂⁵	1	1	yes	characteristic
843	C₂⁴×C₄	#120	1	1	yes	characteristic
844	C₂⁴×C₄	#120	1	1	yes	characteristic
845	C₂⁴×C₄	#120	1	1	yes	characteristic
846	C₂⁴×C₄	#120	1	1	yes	characteristic
847	C₂⁴×C₄	#120	1	1	yes	characteristic
848	C₂⁴×C₄	#120	1	1	yes	characteristic
849	C₂⁴×C₄	#120	1	1	yes	characteristic
850	C₂⁴×C₄	#120	1	1	yes	characteristic
851	C₂⁴×C₄	#120	1	1	yes	characteristic
852	C₂⁴×C₄	#120	1	1	yes	characteristic
853	C₂⁴×C₄	#120	1	1	yes	characteristic
854	C₂⁴×C₄	#120	1	1	yes	characteristic
855	C₂⁴×C₄	#120	1	1	yes	characteristic
856	C₂⁴×C₄	#120	1	1	yes	characteristic
857	C₂⁴×C₄	#120	1	1	yes	characteristic
858	C₂⁴×C₄	#120	1	1	yes	characteristic
859	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
860	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
861	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
862	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
863	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
864	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
865	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
866	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
867	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
868	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
869	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
870	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
871	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
872	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
873	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
874	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
875	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
876	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
877	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
878	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
879	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
880	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
881	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
882	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
883	C₂×#127	C₂²×D₄	1	2	yes	—
884	C₂×#127	C₂²×D₄	1	2	yes	—
885	C₂×#127	C₂²×D₄	1	2	yes	—
886	C₂×#127	C₂⁵	1	2	yes	—
887	C₂×#124	C₂²×D₄	1	2	yes	—
888	C₂×#124	C₂²×D₄	1	2	yes	—
889	C₂×#124	C₂²×D₄	1	2	yes	—
890	C₂×#124	C₂⁵	1	2	yes	—
891	C₂×#123	C₂²×D₄	1	2	yes	—
892	C₂×#123	C₂²×D₄	1	2	yes	—
893	C₂×#123	C₂²×D₄	1	2	yes	—
894	C₂×#123	C₂⁵	1	2	yes	—
895	C₂×#120	C₂²×D₄	1	2	yes	—
896	C₂×#120	C₂²×D₄	1	2	yes	—
897	C₂×#120	C₂²×D₄	1	2	yes	—
898	C₂×#120	C₂²×D₄	1	2	yes	—
899	C₂×#120	C₂²×D₄	1	2	yes	—
900	C₂×#120	C₂²×D₄	1	2	yes	—
901	C₂×#120	C₂²×D₄	1	2	yes	—
902	C₂×#120	C₂²×D₄	1	2	yes	—
903	C₂×#120	C₂²×D₄	1	2	yes	—
904	C₂×#120	C₂⁵	1	2	yes	—
905	C₂×#120	C₂⁵	1	2	yes	—
906	C₂×#120	C₂⁵	1	2	yes	—
907	#518	C₂⁵	1	4	yes	—
908	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
909	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
910	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
911	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
912	C₂×C₄×D₄	#120	1	1	yes	characteristic
913	C₂×C₄×D₄	#120	1	1	yes	characteristic
914	C₂×C₄×D₄	#120	1	1	yes	characteristic
915	C₂×C₄×D₄	#120	1	1	yes	characteristic
916	C₂×C₄×D₄	#120	1	1	yes	characteristic
917	C₂×C₄×D₄	#120	1	1	yes	characteristic
918	C₂×C₄×D₄	#120	1	1	yes	characteristic
919	C₂×C₄×D₄	#120	1	1	yes	characteristic
920	C₂×C₄×D₄	#120	1	1	yes	characteristic
921	C₂×C₄×D₄	#120	1	1	yes	characteristic
922	C₂×C₄×D₄	#120	1	1	yes	characteristic
923	C₂×C₄×D₄	#120	1	1	yes	characteristic
924	C₂×C₄×D₄	#120	1	1	yes	characteristic
925	C₂×C₄×D₄	#120	1	1	yes	characteristic
926	C₂×C₄×D₄	#120	1	1	yes	characteristic
927	C₂×C₄×D₄	#120	1	1	yes	characteristic
928	C₂×C₄×D₄	#120	1	1	yes	characteristic
929	C₂×C₄×D₄	#120	1	1	yes	characteristic
930	C₂×C₄×D₄	#120	1	1	yes	characteristic
931	C₂×C₄×D₄	#120	1	1	yes	characteristic
932	C₂×C₄×D₄	#120	1	1	yes	characteristic
933	C₂×C₄×D₄	#120	1	1	yes	characteristic
934	C₂×C₄×D₄	#120	1	1	yes	characteristic
935	C₂×C₄×D₄	#120	1	1	yes	characteristic
936	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
938	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
939	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
940	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
941	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
942	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
943	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
956	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
957	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
958	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
959	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
960	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
961	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
962	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
963	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
964	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
965	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
966	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
967	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
968	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
969	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
970	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
971	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
972	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
974	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
975	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
976	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
977	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
978	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
979	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
980	C₂×#117	C₂²×D₄	1	2	yes	—
981	C₂×#117	C₂²×D₄	1	2	yes	—
982	C₂×#117	C₂²×D₄	1	2	yes	—
983	C₂×#117	C₂²×D₄	1	2	yes	—
984	C₂×#117	C₂²×D₄	1	2	yes	—
985	C₂×#117	C₂²×D₄	1	2	yes	—
986	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
987	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
988	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
989	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
990	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
991	C₂²×C₄⋊C₄	#120	1	1	yes	characteristic
992	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
993	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
994	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
995	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
996	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
997	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
998	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
999	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1000	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1001	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1002	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1003	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1004	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1005	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1006	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1007	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1008	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1009	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1010	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1011	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1012	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1013	C₂²×C₂²⋊C₄	#120	1	1	yes	characteristic
1014	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1015	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1016	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1017	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1018	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1019	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1020	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1021	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1022	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1023	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1024	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1025	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1026	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1027	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1028	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1029	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1030	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1031	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1032	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1033	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1034	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1035	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1036	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1037	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1038	C₂²×C₄²	#120	1	1	yes	characteristic
1039	C₂²×C₄²	#120	1	1	yes	characteristic
1040	C₂²×C₄²	#120	1	1	yes	characteristic
1041	C₂²×C₄²	#120	1	1	yes	characteristic
1042	C₂²×C₄²	#120	1	1	yes	characteristic
1043	C₂²×C₄²	#120	1	1	yes	characteristic
1044	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1045	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1046	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1047	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1048	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1049	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1050	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1051	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1052	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1053	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1054	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1055	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1056	C₂×#100	C₂⁵	1	8	yes	—
1057	C₂×#99	C₂⁵	1	8	yes	—
1058	C₂×#99	C₂⁵	1	8	yes	—
1059	#391	C₂²×D₄	1	2	yes	—
1060	#391	C₂²×D₄	1	2	yes	—
1061	#391	C₂²×D₄	1	2	yes	—
1062	#391	C₂²×D₄	1	2	yes	—
1063	#390	C₂²×D₄	1	2	yes	—
1064	#390	C₂²×D₄	1	2	yes	—
1065	#390	C₂²×D₄	1	2	yes	—
1066	#390	C₂²×D₄	1	2	yes	—
1067	#390	C₂²×D₄	1	2	yes	—
1068	#390	C₂²×D₄	1	2	yes	—
1069	#390	C₂²×D₄	1	2	yes	—
1070	#390	C₂²×D₄	1	2	yes	—
1071	#390	C₂²×D₄	1	2	yes	—
1072	#390	C₂²×D₄	1	2	yes	—
1073	#390	C₂⁵	1	2	yes	—
1074	#390	C₂⁵	1	2	yes	—
1075	#386	C₂²×D₄	1	2	yes	—
1076	#386	C₂²×D₄	1	2	yes	—
1077	#386	C₂²×D₄	1	2	yes	—
1078	#386	C₂²×D₄	1	2	yes	—
1079	#386	C₂²×D₄	1	2	yes	—
1080	#386	C₂²×D₄	1	2	yes	—
1081	#386	C₂²×D₄	1	2	yes	—
1082	#386	C₂²×D₄	1	2	yes	—
1083	#386	C₂²×D₄	1	2	yes	—
1084	#386	C₂²×D₄	1	2	yes	—
1085	#386	C₂²×D₄	1	2	yes	—
1086	#386	C₂²×D₄	1	2	yes	—
1087	#386	C₂⁵	1	2	yes	—
1088	#386	C₂⁵	1	2	yes	—
1089	#386	C₂⁵	1	2	yes	—
1090	#386	C₂⁵	1	2	yes	—
1091	#385	C₂²×D₄	1	2	yes	—
1092	#385	C₂²×D₄	1	2	yes	—
1093	#385	C₂²×D₄	1	2	yes	—
1094	#385	C₂²×D₄	1	2	yes	—
1095	#385	C₂²×D₄	1	2	yes	—
1096	#385	C₂²×D₄	1	2	yes	—
1097	#385	C₂²×D₄	1	2	yes	—
1098	#385	C₂²×D₄	1	2	yes	—
1099	#385	C₂²×D₄	1	2	yes	—
1100	#385	C₂²×D₄	1	2	yes	—
1101	#385	C₂²×D₄	1	2	yes	—
1102	#385	C₂²×D₄	1	2	yes	—
1103	#385	C₂²×D₄	1	2	yes	—
1104	#385	C₂²×D₄	1	2	yes	—
1105	#385	C₂²×D₄	1	2	yes	—
1106	#385	C₂²×D₄	1	2	yes	—
1107	#384	C₂²×D₄	1	2	yes	—
1108	#384	C₂²×D₄	1	2	yes	—
1109	#384	C₂²×D₄	1	2	yes	—
1110	#384	C₂²×D₄	1	2	yes	—
1111	#382	C₂²×D₄	1	2	yes	—
1112	#382	C₂²×D₄	1	2	yes	—
1113	#382	C₂²×D₄	1	2	yes	—
1114	#382	C₂²×D₄	1	2	yes	—
1115	#381	C₂²×D₄	1	2	yes	—
1116	#381	C₂²×D₄	1	2	yes	—
1117	#381	C₂²×D₄	1	2	yes	—
1118	#381	C₂²×D₄	1	2	yes	—
1119	#380	C₂²×D₄	1	2	yes	—
1120	#380	C₂²×D₄	1	2	yes	—
1121	#380	C₂²×D₄	1	2	yes	—
1122	#380	C₂²×D₄	1	2	yes	—
1123	#380	C₂²×D₄	1	2	yes	—
1124	#380	C₂²×D₄	1	2	yes	—
1125	#380	C₂²×D₄	1	2	yes	—
1126	#380	C₂²×D₄	1	2	yes	—
1127	#379	C₂²×D₄	1	2	yes	—
1128	#379	C₂²×D₄	1	2	yes	—
1129	#379	C₂²×D₄	1	2	yes	—
1130	#379	C₂²×D₄	1	2	yes	—
1131	#379	C₂²×D₄	1	2	yes	—
1132	#379	C₂²×D₄	1	2	yes	—
1133	#379	C₂²×D₄	1	2	yes	—
1134	#379	C₂²×D₄	1	2	yes	—
1135	#379	C₂²×D₄	1	2	yes	—
1136	#379	C₂²×D₄	1	2	yes	—
1137	#379	C₂²×D₄	1	2	yes	—
1138	#379	C₂²×D₄	1	2	yes	—
1139	#379	C₂²×D₄	1	2	yes	—
1140	#379	C₂²×D₄	1	2	yes	—
1141	#379	C₂²×D₄	1	2	yes	—
1142	#379	C₂²×D₄	1	2	yes	—
1143	#379	C₂²×D₄	1	2	yes	—
1144	#379	C₂²×D₄	1	2	yes	—
1145	#379	C₂²×D₄	1	2	yes	—
1146	#379	C₂²×D₄	1	2	yes	—
1147	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1148	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1149	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1150	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1151	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1152	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1153	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1154	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1155	#376	C₂²×D₄	1	2	yes	—
1156	#376	C₂²×D₄	1	2	yes	—
1157	#376	C₂²×D₄	1	2	yes	—
1158	#376	C₂²×D₄	1	2	yes	—
1159	C₄³	C₂²×D₄	1	2	yes	—
1160	C₄³	C₂²×D₄	1	2	yes	—
1161	C₄³	C₂²×D₄	1	2	yes	—
1162	C₄³	C₂²×D₄	1	2	yes	—
1163	C₂⁵	C₂×#120	1	1	yes	characteristic
1164	C₂⁵	C₂×#120	1	1	yes	characteristic
1165	C₂⁵	C₂×#120	1	1	yes	characteristic
1166	C₂⁵	C₂×#120	1	1	yes	characteristic
1167	C₂⁵	C₂×#120	1	1	yes	characteristic
1168	C₂⁵	C₂×#120	1	1	yes	characteristic
1169	C₂⁵	C₂×#120	1	1	yes	characteristic
1170	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1171	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1172	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1173	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1174	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1175	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1176	C₂⁵	C₂³×D₄	1	2	yes	—
1177	C₂⁵	C₂³×D₄	1	2	yes	—
1178	C₂⁵	C₂³×D₄	1	2	yes	—
1179	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1180	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1181	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1182	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1183	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1184	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1185	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1186	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1187	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1188	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1189	C₂²×D₄	C₂³×D₄	1	2	yes	—
1190	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1191	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1192	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1193	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1194	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1195	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1196	C₂²×D₄	C₂⁶	1	1	yes	characteristic
1197	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1198	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1199	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1200	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1201	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1202	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1203	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1204	C₂³×C₄	B(4,𝔽₂)	1	1	yes	characteristic
1205	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1206	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1207	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1208	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1209	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1210	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1211	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1212	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1213	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1214	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1215	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1216	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1217	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1218	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1219	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1220	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1221	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1222	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1223	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1224	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1225	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1226	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1227	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1228	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1229	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1230	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1231	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1232	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1233	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1234	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1235	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1236	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1237	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1238	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1239	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1240	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1241	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1242	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1243	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1244	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1245	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1246	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1247	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1248	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1249	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1250	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1251	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1252	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1253	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1254	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1255	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1256	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1257	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1258	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1259	C₂³×C₄	C₂³×D₄	1	2	yes	—
1260	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1261	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1262	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1263	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1264	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1265	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1266	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1267	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1268	C₂³×C₄	C₂³×D₄	1	2	yes	—
1269	C₂³×C₄	C₂³×D₄	1	2	yes	—
1270	C₂³×C₄	C₂³×D₄	1	2	yes	—
1271	C₂³×C₄	C₂³×D₄	1	2	yes	—
1272	#127	#585	1	8	yes	—
1273	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1274	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1275	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1276	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1277	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1278	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1279	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1280	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1281	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1282	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1283	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1284	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1285	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1286	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1287	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1288	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1289	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1290	C₂×C₄⋊C₄	C₂³×D₄	1	1	yes	characteristic
1291	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1292	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1293	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1294	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1295	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1296	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1297	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1298	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1299	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1300	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1301	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1302	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1303	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1304	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1305	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1306	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1307	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1308	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1309	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1310	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1311	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1312	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1313	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1314	C₂×C₂²⋊C₄	C₂×#120	1	1	yes	characteristic
1315	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1316	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1317	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1318	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1319	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1320	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1321	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1322	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1323	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1324	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1325	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1326	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1327	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1328	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1329	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1330	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1331	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1332	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1333	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1334	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1335	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1336	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1337	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1338	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1339	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1340	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1341	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1342	C₂×C₄²	C₂×#120	1	1	yes	characteristic
1343	C₂×C₄²	C₂³×D₄	1	2	yes	—
1344	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1345	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1346	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1347	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1348	C₂×C₄²	C₂³×D₄	1	2	yes	—
1349	C₂×C₄²	C₂³×D₄	1	2	yes	—
1350	C₂×C₄²	C₂³×D₄	1	2	yes	—
1351	C₂⁴	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1352	C₂⁴	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1353	C₂⁴	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1354	C₂⁴	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1355	C₂⁴	C₂²×#120	1	1	yes	characteristic
1356	C₂⁴	C₂²×#120	1	1	yes	characteristic
1357	C₂⁴	C₂²×#120	1	1	yes	characteristic
1358	C₂⁴	C₂²×#120	1	1	yes	characteristic
1359	C₂⁴	C₂²×#120	1	1	yes	characteristic
1360	C₂⁴	C₂²×#120	1	1	yes	characteristic
1361	C₂⁴	C₂²×#120	1	1	yes	characteristic
1362	C₂⁴	C₂²×#120	1	1	yes	characteristic
1363	C₂⁴	C₂²×#120	1	1	yes	characteristic
1364	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1365	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1366	C₂×D₄	#3449	1	4	yes	complemented
1367	C₂×D₄	C₂×#585	1	4	yes	—
1368	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1369	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1370	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1371	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1372	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1373	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1374	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1375	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1376	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1377	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1378	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1379	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1380	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1381	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1382	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1383	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1384	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1385	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1386	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1387	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1388	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1389	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1390	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1391	C₂²×C₄	C₂×B(4,𝔽₂)	1	1	yes	characteristic
1392	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1393	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1394	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1395	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1396	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1397	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1398	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1399	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1400	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1401	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1402	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1403	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1404	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1405	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1406	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1407	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1408	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1409	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1410	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1411	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1412	C₄²	#3449	1	4	yes	complemented
1413	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1414	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1415	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1416	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1417	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1418	C₂³	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1419	C₂³	C₂³×#120	1	1	yes	characteristic
1420	C₂³	#62811	1	2	yes	—
1421	C₂³	#62811	1	2	yes	—
1422	C₂×C₄	#33551	1	4	yes	—
1423	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1424	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1425	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1426	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1427	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1428	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1429	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1430	C₂×C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
1431	C₂×C₄	#60398	1	2	yes	—
1432	C₂×C₄	C₂×#3449	1	2	yes	—
1433	C₂²	C₂×#33551	1	2	yes	—
1434	C₂²	#7622868	1	2	yes	—
1435	C₂²	#7628649	1	1	yes	characteristic
1436	C₂²	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1437	C₂²	C₂×#60398	1	1	yes	characteristic
1438	C₄	C₂×#33551	1	2	yes	—
1439	C₄	C₂×#33551	1	2	yes	—
1440	C₂	C₂²×#33551	1	1	yes	characteristic
1441	C₂	#72238110	1	1	yes	characteristic
1442	C₂	C₂×#7622868	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 ◁ C₂⁴×C₄ ◁ C₂³×C₄×D₄ ◁ 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. #72316521	C₂	semidirect
2. #72316520	C₂	semidirect
3. #72316519	C₂	semidirect
4. #72316517	C₂	semidirect
5. #72316516	C₂	semidirect
6. #72316514	C₂	semidirect
7. #72316512	C₂	semidirect
8. #72316511	C₂	semidirect
9. #72316510	C₂	semidirect
10. #72316507	C₂	semidirect
11. #72316505	C₂	semidirect
12. C₂×#7708055	C₂	semidirect
13. #72263565	C₂	semidirect
14. #72263564	C₂	semidirect
15. #72263429	C₂	semidirect
16. #72257570	C₂	semidirect
17. #72251116	C₂	semidirect
18. #72250097	C₂	semidirect
19. #72238110	C₂	semidirect
20. #72236776	C₂	semidirect
21. #72236618	C₂	semidirect
22. #72234533	C₂	semidirect
23. #72231289	C₂	semidirect
24. #72210575	C₂	semidirect
25. C₂×#62773	C₂²	semidirect
28. #7708055	C₂²	semidirect
29. #7708055	C₂²	semidirect
30. C₂×#52035	C₂²	semidirect
31. C₂×#52031	C₂²	semidirect
36. C₂×#51860	C₂²	semidirect
37. C₂×#51691	C₂²	semidirect
38. C₂×#52301	C₂²	semidirect
39. C₂×#52185	C₂²	semidirect
42. C₂×C₄×#560	C₂²	semidirect
43. C₂×C₄×D₄²	C₂²	semidirect
45. #6629389	C₂²	semidirect
46. #6629386	C₂²	semidirect
47. #6496266	C₂²	semidirect
48. #6496263	C₂²	semidirect
49. #6491482	C₂²	semidirect
50. #6491478	C₂²	semidirect
53. #6489747	C₂²	semidirect
54. #6489745	C₂²	semidirect
55. #6487646	C₂²	semidirect
56. #6487644	C₂²	semidirect
57. #6470226	C₂²	semidirect
60. #6470225	C₂²	semidirect
61. #6454872	C₂²	semidirect
62. #6454869	C₂²	semidirect
63. #6454042	C₂²	semidirect
66. #6454041	C₂²	semidirect
67. #6453847	C₂²	semidirect
68. #6453842	C₂²	semidirect
70. #6453835	C₂²	semidirect
71. #6453830	C₂²	semidirect
73. #6445409	C₂²	semidirect
74. #6442561	C₂²	semidirect
75. #6440354	C₂²	semidirect
77. C₄×#3019	C₂²	semidirect
78. C₂×#20726	C₂²	semidirect
79. C₂×#20722	C₂²	semidirect
80. C₂×#20722	C₂²	semidirect
81. #512146	C₂²	semidirect
82. #512145	C₂²	semidirect
83. #512142	C₂²	semidirect
84. #512142	C₂²	semidirect
85. #512119	C₂²	semidirect
86. #512116	C₂²	semidirect
87. #512012	C₂²	semidirect
88. #512008	C₂²	semidirect
89. #511912	C₂²	semidirect
90. #511908	C₂²	semidirect
91. #511776	C₂²	semidirect
92. #511771	C₂²	semidirect
93. #508250	C₂²	semidirect
94. #508249	C₂²	semidirect
95. #508194	C₂²	semidirect
96. #508193	C₂²	semidirect
97. #508138	C₂²	semidirect
98. #508137	C₂²	semidirect
99. #508089	C₂²	semidirect
100. #508087	C₂²	semidirect
101. #508087	C₂²	semidirect
102. #508087	C₂²	semidirect
103. #508063	C₂²	semidirect
104. #508062	C₂²	semidirect
105. #503590	C₂²	semidirect
106. #503468	C₂²	semidirect
107. #503358	C₂²	semidirect
108. #503206	C₂²	semidirect
109. #503017	C₂²	semidirect
110. #503012	C₂²	semidirect
111. #502825	C₂²	semidirect
112. #502824	C₂²	semidirect
113. #502687	C₂²	semidirect
114. #502685	C₂²	semidirect
115. #501103	C₂²	semidirect
116. #501097	C₂²	semidirect
117. #500966	C₂²	semidirect
118. #500781	C₂²	semidirect
119. #500534	C₂²	semidirect
120. #500533	C₂²	semidirect
121. #500383	C₂²	semidirect
122. #500381	C₂²	semidirect
123. #500190	C₂²	semidirect
124. #500177	C₂²	semidirect
125. #500035	C₂²	semidirect
126. #500033	C₂²	semidirect
127. #499838	C₂²	semidirect
128. #499832	C₂²	semidirect
129. #499283	C₂²	semidirect
130. #499282	C₂²	semidirect
131. #496518	C₂²	semidirect
132. #496516	C₂²	semidirect
133. #496506	C₂²	semidirect
134. #496504	C₂²	semidirect
135. #496416	C₂²	semidirect
136. #496413	C₂²	semidirect
137. #496333	C₂²	semidirect
138. #496330	C₂²	semidirect
139. #496226	C₂²	semidirect
142. #496225	C₂²	semidirect
143. C₄×#2200	C₂²	semidirect
144. C₄×#2196	C₂²	semidirect
145. #495590	C₂²	semidirect
146. #495588	C₂²	semidirect
147. #495578	C₂²	semidirect
148. #495576	C₂²	semidirect
149. #493996	C₂²	semidirect
150. #493995	C₂²	semidirect
151. #493995	C₂²	semidirect
152. #493995	C₂²	semidirect
153. #493972	C₂²	semidirect
154. #493965	C₂²	semidirect
155. #493963	C₂²	semidirect
156. #493962	C₂²	semidirect
157. #493956	C₂²	semidirect
158. #493955	C₂²	semidirect
159. #493883	C₂²	semidirect
160. #493746	C₂²	semidirect
162. C₄×#2127	C₂²	semidirect
163. C₂⁴×#41	D₄	semidirect
166. #62773	C₂³	semidirect
167. #62773	C₂³	semidirect
168. C₂×#3501	C₂³	semidirect
169. C₂×#3496	C₂³	semidirect
174. C₂×C₄×H(5,𝔽₂)	C₂³	semidirect
175. C₂²×C₄×#41	D₄	semidirect
176. C₂³×C₄×D₄	D₄	semidirect
207. #34956	D₄	semidirect
208. #34956	D₄	semidirect
209. #34956	D₄	semidirect
210. #34956	D₄	semidirect
215. C₂×#2579	D₄	semidirect
217. C₂×#2534	D₄	semidirect
219. C₂×#2483	D₄	semidirect
220. #34736	D₄	semidirect
221. #34736	D₄	semidirect
222. #34736	D₄	semidirect
223. #34736	D₄	semidirect
228. C₂×#2409	D₄	semidirect
230. C₂×#2408	D₄	semidirect
232. C₂×#2405	D₄	semidirect
233. C₂×#2405	D₄	semidirect
234. C₂×#2405	D₄	semidirect
249. C₄×#535	D₄	semidirect
250. C₄×#535	D₄	semidirect
251. C₄×#535	D₄	semidirect
252. C₄×#535	D₄	semidirect
257. C₂×#2328	D₄	semidirect
259. C₂×#2326	D₄	semidirect
261. C₂×#2317	D₄	semidirect
262. C₂×#2311	D₄	semidirect
264. C₂×C₄×#127	D₄	semidirect
266. C₂×C₄×#124	D₄	semidirect
268. C₂×C₄×#123	D₄	semidirect
270. C₂×C₄×#120	D₄	semidirect
271. C₂×C₄×#120	D₄	semidirect
272. C₂×C₄×#120	D₄	semidirect
276. C₂×#2280	D₄	semidirect
277. C₂×#2280	D₄	semidirect
278. C₂×C₄×#117	D₄	semidirect
282. #33022	C₂³	semidirect
285. #33020	C₂³	semidirect
286. #32977	C₂³	semidirect
287. #32975	C₂³	semidirect
290. #32900	C₂³	semidirect
293. #32898	C₂³	semidirect
296. #25901	C₂³	semidirect
297. #25899	C₂³	semidirect
298. #25854	C₂³	semidirect
299. #25852	C₂³	semidirect
302. #24405	C₂³	semidirect
305. #24404	C₂³	semidirect
306. #24351	C₂³	semidirect
309. #24350	C₂³	semidirect
310. #24318	C₂³	semidirect
312. #24314	C₂³	semidirect
314. #24261	C₂³	semidirect
317. #24260	C₂³	semidirect
318. #24228	C₂³	semidirect
320. #24224	C₂³	semidirect
326. #24022	C₂³	semidirect
336. C₄×#458	C₂³	semidirect
339. C₄×B(4,𝔽₂)	C₂³	semidirect
340. #21474	C₂³	semidirect
342. C₄×#455	C₂³	semidirect
345. #20856	C₂³	semidirect
348. #20726	C₂³	semidirect
349. #20726	C₂³	semidirect
354. #20722	C₂³	semidirect
355. #20722	C₂³	semidirect
356. #20722	C₂³	semidirect
357. #20722	C₂³	semidirect
358. C₂×#1800	C₂³	semidirect
359. C₂×#1799	C₂³	semidirect
360. C₂×#1799	C₂³	semidirect
361. #20616	C₂³	semidirect
365. C₂×C₄×#100	C₂³	semidirect
366. C₂×C₄×#99	C₂³	semidirect
367. C₂×C₄×#99	C₂³	semidirect
368. #13463	C₂³	semidirect
369. #13462	C₂³	semidirect
370. #13425	C₂³	semidirect
373. #13424	C₂³	semidirect
376. #13377	C₂³	semidirect
377. #13376	C₂³	semidirect
378. #13349	C₂³	semidirect
381. #13348	C₂³	semidirect
384. #13297	C₂³	semidirect
385. #13296	C₂³	semidirect
386. #13294	C₂³	semidirect
387. #13293	C₂³	semidirect
394. #13086	C₂³	semidirect
395. #13084	C₂³	semidirect
398. #13082	C₂³	semidirect
399. #13080	C₂³	semidirect
402. #13044	C₂³	semidirect
403. #13043	C₂³	semidirect
408. #12961	C₂³	semidirect
409. #12960	C₂³	semidirect
412. #12858	C₂³	semidirect
419. #12800	C₂³	semidirect
421. #12798	C₂³	semidirect
423. #12794	C₂³	semidirect
426. #12793	C₂³	semidirect
437. #12627	C₂³	semidirect
438. C₄×#354	C₂³	semidirect
440. C₄×#352	C₂³	semidirect
443. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
444. #12582	C₂³	semidirect
1366. C₂×D₄	#3449	semidirect
1412. C₄²	#3449	semidirect

Maximal subgroups

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

subgroup	index
#72316521	2
#72316520	2
#72316519	2
#72316517	2
#72316516	2
#72316514	2
#72316512	2
#72316511	2
#72316510	2
#72316507	2
#72316505	2
C₂×#7708055	2
#72263565	2
#72263564	2
#72263429	2
#72257570	2
#72251116	2
#72250097	2
#72238110	2
#72236776	2
#72236618	2
#72234533	2
#72231289	2
#72210575	2