Subgroups — #72339515

Order 2048.

At least 16725 conjugacy classes of subgroups; only the 4480 normal subgroups are shown.

The subgroup lattice has 1360 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72339514	C₂	1	1	yes	maximal, characteristic, complemented
2	#72339511	C₂	1	1	yes	maximal, characteristic, complemented
3	#72339510	C₂	1	1	yes	maximal, characteristic, complemented
4	#72339496	C₂	1	2	yes	maximal, complemented
5	#72316675	C₂	1	2	yes	maximal, complemented
6	#72316674	C₂	1	2	yes	maximal, complemented
7	#72311903	C₂	1	1	yes	maximal, characteristic, complemented
8	#72310813	C₂	1	2	yes	maximal, complemented
9	#72310788	C₂	1	2	yes	maximal, complemented
10	#72310746	C₂	1	1	yes	maximal, characteristic, complemented
11	#72310688	C₂	1	1	yes	maximal, characteristic, complemented
12	#72310617	C₂	1	1	yes	maximal, characteristic, complemented
13	#72310612	C₂	1	1	yes	maximal, characteristic, complemented
14	#72310578	C₂	1	1	yes	maximal, characteristic, complemented
15	#72310577	C₂	1	2	yes	maximal, complemented
16	#72310553	C₂	1	2	yes	maximal, complemented
17	#72268433	C₂	1	8	yes	maximal, complemented
18	#72268371	C₂	1	8	yes	maximal, complemented
19	#72268369	C₂	1	8	yes	maximal, complemented
20	#72268322	C₂	1	8	yes	maximal, complemented
21	#72267593	C₂	1	1	yes	maximal, characteristic, complemented
22	#72249459	C₂	1	2	yes	maximal, complemented
23	C₂×#6573477	C₂	1	1	yes	maximal, characteristic, complemented
24	#72238182	C₂	1	1	yes	maximal, characteristic, complemented
25	#72233812	C₂	1	1	yes	maximal, characteristic, complemented
26	#72216616	C₂	1	1	yes	maximal, characteristic, complemented
27	#72214295	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂⁵×D₈	C₂²	1	1	yes	characteristic, complemented
29	#10586476	C₂²	1	1	yes	characteristic, complemented
30	#10586472	C₂²	1	1	yes	characteristic, complemented
31	#10583051	C₂²	1	4	yes	complemented
32	#10583048	C₂²	1	4	yes	complemented
33	#10583026	C₂²	1	4	yes	complemented
34	#10583022	C₂²	1	4	yes	complemented
35	#10577671	C₂²	1	2	yes	complemented
36	#10577542	C₂²	1	1	yes	characteristic, complemented
37	#10577339	C₂²	1	2	yes	complemented
38	#10577338	C₂²	1	2	yes	complemented
39	#10577303	C₂²	1	1	yes	characteristic, complemented
40	#10577301	C₂²	1	1	yes	characteristic, complemented
41	C₂×#61049	C₂²	1	2	yes	—
42	C₂²×#3264	C₂²	1	1	yes	characteristic
43	#10574513	C₂²	1	1	yes	characteristic, complemented
44	#7630939	C₂²	1	2	yes	complemented
45	#7630939	C₂²	1	2	yes	complemented
46	C₂×#36152	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₄×#120	C₂²	1	1	yes	characteristic, complemented
48	#6628994	C₂²	1	2	yes	complemented
49	C₂×#32929	C₂²	1	1	yes	characteristic, complemented
50	#6628842	C₂²	1	2	yes	complemented
51	#6628842	C₂²	1	2	yes	complemented
52	C₂×#32881	C₂²	1	1	yes	characteristic, complemented
53	C₂×#32878	C₂²	1	1	yes	characteristic, complemented
54	#6595772	C₂²	1	4	yes	complemented
55	#6595772	C₂²	1	8	yes	complemented
56	D₄×B(4,𝔽₂)	C₂²	1	4	yes	complemented
57	#6573477	C₂²	1	8	yes	complemented
58	#6573477	C₂²	1	8	yes	complemented
59	#6573477	C₂²	1	8	yes	complemented
60	#6573477	C₂²	1	8	yes	complemented
61	#6573471	C₂²	1	8	yes	complemented
62	D₈×#120	C₂²	1	8	yes	complemented
63	#6571611	C₂²	1	4	yes	complemented
64	#6533135	C₂²	1	8	yes	complemented
65	#6533135	C₂²	1	4	yes	complemented
66	#6532600	C₂²	1	2	yes	complemented
67	#6529155	C₂²	1	2	yes	complemented
68	#6516837	C₂²	1	2	yes	complemented
69	#6512843	C₂²	1	2	yes	complemented
70	#6491100	C₂²	1	1	yes	characteristic, complemented
71	#6491100	C₂²	1	1	yes	characteristic, complemented
72	#6491100	C₂²	1	1	yes	characteristic, complemented
73	#6491100	C₂²	1	1	yes	characteristic, complemented
74	#6454041	C₂²	1	1	yes	characteristic
75	#6454041	C₂²	1	1	yes	characteristic, complemented
76	#6454041	C₂²	1	1	yes	characteristic, complemented
77	#6443226	C₂²	1	2	yes	complemented
78	C₂×#25788	C₂²	1	1	yes	characteristic, complemented
79	#6442759	C₂²	1	2	yes	complemented
80	C₂×#24272	C₂²	1	1	yes	characteristic, complemented
81	#6437664	C₂²	1	2	yes	complemented
82	#6437664	C₂²	1	2	yes	complemented
83	C₂×#24355	C₂²	1	1	yes	characteristic, complemented
84	C₂×#24354	C₂²	1	1	yes	characteristic, complemented
85	#6437521	C₂²	1	2	yes	complemented
86	#6437521	C₂²	1	2	yes	complemented
87	C₂×#23851	C₂²	1	1	yes	characteristic, complemented
88	C₂×#23848	C₂²	1	1	yes	characteristic, complemented
89	#6393523	C₂²	1	2	yes	complemented
90	#6393523	C₂²	1	2	yes	complemented
91	#6386107	C₂²	1	1	yes	characteristic, complemented
92	#6385971	C₂²	1	1	yes	characteristic, complemented
93	#6379134	C₂²	1	2	yes	complemented
94	C₂×#22436	C₂²	1	1	yes	characteristic, complemented
95	#6372601	C₂²	1	2	yes	complemented
96	C₂×#21440	C₂²	1	1	yes	characteristic, complemented
97	#6346767	C₂²	1	2	yes	complemented
98	#6346765	C₂²	1	2	yes	complemented
99	#6346599	C₂²	1	1	yes	characteristic, complemented
100	#6346599	C₂²	1	1	yes	characteristic, complemented
101	#348129	C₂²	1	8	yes	complemented
102	#348119	C₂²	1	8	yes	complemented
103	#346551	C₂²	1	4	yes	complemented
104	#346550	C₂²	1	8	yes	complemented
105	#346550	C₂²	1	4	yes	complemented
106	#346519	C₂²	1	4	yes	complemented
107	#346519	C₂²	1	8	yes	complemented
108	#346518	C₂²	1	4	yes	complemented
109	#301924	C₂²	1	4	yes	complemented
110	#301924	C₂²	1	8	yes	complemented
111	#301924	C₂²	1	4	yes	complemented
112	#301921	C₂²	1	4	yes	complemented
113	#301921	C₂²	1	8	yes	complemented
114	#301921	C₂²	1	4	yes	complemented
115	#301893	C₂²	1	8	yes	complemented
116	#301891	C₂²	1	8	yes	complemented
117	#267463	C₂²	1	8	yes	complemented
118	#267463	C₂²	1	4	yes	complemented
119	#267443	C₂²	1	4	yes	complemented
120	#267443	C₂²	1	8	yes	complemented
121	#267419	C₂²	1	8	yes	complemented
122	#267419	C₂²	1	8	yes	complemented
123	#267419	C₂²	1	8	yes	complemented
124	#267411	C₂²	1	8	yes	complemented
125	#267411	C₂²	1	8	yes	complemented
126	#267411	C₂²	1	8	yes	complemented
127	#267391	C₂²	1	8	yes	complemented
128	#267391	C₂²	1	4	yes	complemented
129	#267371	C₂²	1	4	yes	complemented
130	#267371	C₂²	1	8	yes	complemented
131	#265268	C₂²	1	4	yes	complemented
132	#265268	C₂²	1	4	yes	complemented
133	#265268	C₂²	1	8	yes	complemented
134	#265267	C₂²	1	4	yes	complemented
135	#265267	C₂²	1	8	yes	complemented
136	#265267	C₂²	1	4	yes	complemented
137	#265228	C₂²	1	8	yes	complemented
138	#265227	C₂²	1	8	yes	complemented
139	#248553	C₂²	1	4	yes	complemented
140	#248553	C₂²	1	8	yes	complemented
141	#248552	C₂²	1	4	yes	complemented
142	#248552	C₂²	1	8	yes	complemented
143	#248551	C₂²	1	8	yes	complemented
144	#248551	C₂²	1	8	yes	complemented
145	#248551	C₂²	1	8	yes	complemented
146	#248457	C₂²	1	8	yes	complemented
147	#248457	C₂²	1	8	yes	complemented
148	#248457	C₂²	1	8	yes	complemented
149	#248456	C₂²	1	8	yes	complemented
150	#248456	C₂²	1	4	yes	complemented
151	#248455	C₂²	1	8	yes	complemented
152	#248455	C₂²	1	4	yes	complemented
153	#239384	C₂²	1	2	yes	complemented
154	#239383	C₂²	1	2	yes	complemented
155	#239354	C₂²	1	2	yes	complemented
156	#235101	C₂²	1	2	yes	complemented
157	#235099	C₂²	1	2	yes	complemented
158	#235079	C₂²	1	2	yes	complemented
159	#235079	C₂²	1	2	yes	complemented
160	#235056	C₂²	1	2	yes	complemented
161	#235055	C₂²	1	2	yes	complemented
162	#234326	C₂²	1	2	yes	complemented
163	#234325	C₂²	1	2	yes	complemented
164	#234280	C₂²	1	2	yes	complemented
165	#220264	C₂²	1	8	yes	complemented
166	#220264	C₂²	1	8	yes	complemented
167	#220264	C₂²	1	8	yes	complemented
168	#220264	C₂²	1	8	yes	complemented
169	#220246	C₂²	1	8	yes	complemented
170	#220244	C₂²	1	8	yes	complemented
171	#208822	C₂²	1	8	yes	complemented
172	#208806	C₂²	1	8	yes	complemented
173	#205758	C₂²	1	2	yes	complemented
174	#205751	C₂²	1	2	yes	complemented
175	#205750	C₂²	1	2	yes	complemented
176	#201395	C₂²	1	2	yes	complemented
177	#201395	C₂²	1	2	yes	complemented
178	#201386	C₂²	1	1	yes	characteristic, complemented
179	#201386	C₂²	1	1	yes	characteristic, complemented
180	#198463	C₂²	1	2	yes	complemented
181	#198460	C₂²	1	2	yes	complemented
182	#198432	C₂²	1	2	yes	complemented
183	#198432	C₂²	1	2	yes	complemented
184	#198404	C₂²	1	2	yes	complemented
185	#198404	C₂²	1	2	yes	complemented
186	#193898	C₂²	1	2	yes	complemented
187	#193892	C₂²	1	1	yes	characteristic, complemented
188	#192050	C₂²	1	2	yes	complemented
189	#192042	C₂²	1	1	yes	characteristic, complemented
190	#189531	C₂²	1	2	yes	complemented
191	#188811	C₂²	1	1	yes	characteristic, complemented
192	#185683	C₂²	1	2	yes	complemented
193	#185683	C₂²	1	2	yes	complemented
194	#185652	C₂²	1	1	yes	characteristic, complemented
195	#185643	C₂²	1	1	yes	characteristic, complemented
196	#185365	C₂²	1	2	yes	complemented
197	#185363	C₂²	1	2	yes	complemented
198	#185329	C₂²	1	1	yes	characteristic, complemented
199	#185329	C₂²	1	1	yes	characteristic, complemented
200	#184919	C₂²	1	1	yes	characteristic, complemented
201	#182084	C₂²	1	1	yes	characteristic, complemented
202	#182076	C₂²	1	2	yes	complemented
203	C₂⁵×D₄	C₂³	1	1	yes	characteristic
204	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
205	C₂²×#576	D₄	1	2	yes	complemented
206	C₂³×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic, complemented
207	C₂⁴×D₈	C₂³	1	1	yes	characteristic
208	C₂⁴×D₈	C₂³	1	1	yes	characteristic
209	C₂⁴×D₈	C₂³	1	1	yes	characteristic, complemented
210	C₂⁴×D₈	C₂³	1	1	yes	characteristic, complemented
211	C₂⁴×D₈	C₂³	1	8	yes	complemented
212	C₂⁵×C₈	C₂³	1	1	yes	characteristic, complemented
213	#62983	C₂³	1	2	yes	complemented
214	#62983	C₂³	1	4	yes	complemented
215	D₄×H(5,𝔽₂)	C₂³	1	2	yes	complemented
216	#62894	C₂³	1	2	yes	complemented
217	#62892	C₂³	1	2	yes	complemented
218	#62892	C₂³	1	4	yes	complemented
219	#62819	C₂³	1	2	yes	—
220	#62818	C₂³	1	2	yes	—
221	#62773	C₂³	1	1	yes	characteristic
222	#62773	C₂³	1	1	yes	characteristic
223	#62773	C₂³	1	1	yes	characteristic
224	C₂×#3484	C₂³	1	2	yes	—
225	C₂×#3484	C₂³	1	2	yes	—
226	C₂²×#546	C₂³	1	1	yes	characteristic
227	C₂²×D₄²	C₂³	1	1	yes	characteristic
228	#62254	C₂³	1	4	yes	complemented
229	#62254	C₂³	1	2	yes	complemented
230	#62254	C₂³	1	2	yes	complemented
231	#62253	C₂³	1	4	yes	complemented
232	#62253	C₂³	1	2	yes	complemented
233	#62253	C₂³	1	2	yes	complemented
234	#62244	C₂³	1	4	yes	complemented
235	#62243	C₂³	1	4	yes	complemented
236	#61571	C₂³	1	4	yes	complemented
237	#61571	C₂³	1	4	yes	complemented
238	#61571	C₂³	1	4	yes	complemented
239	#61570	C₂³	1	4	yes	complemented
240	#61570	C₂³	1	2	yes	complemented
241	#61569	C₂³	1	4	yes	complemented
242	#61569	C₂³	1	2	yes	complemented
243	#61561	C₂³	1	4	yes	complemented
244	#61561	C₂³	1	4	yes	complemented
245	#61561	C₂³	1	4	yes	complemented
246	#61560	C₂³	1	2	yes	complemented
247	#61560	C₂³	1	4	yes	complemented
248	#61559	C₂³	1	2	yes	complemented
249	#61559	C₂³	1	4	yes	complemented
250	C₂×#3280	D₄	1	4	yes	complemented
251	C₂×#3280	C₂³	1	4	yes	—
252	C₂×D₄×D₈	D₄	1	4	yes	complemented
253	C₂×D₄×D₈	C₂³	1	4	yes	—
254	C₂×#3264	D₄	1	4	yes	complemented
255	C₂×#3264	D₄	1	4	yes	complemented
256	C₂×#3264	D₄	1	4	yes	complemented
257	C₂×#3264	D₄	1	4	yes	complemented
258	C₂×#3264	C₂³	1	4	yes	—
259	C₂×#3264	C₂³	1	4	yes	—
260	C₂×#3264	C₂³	1	4	yes	—
261	C₂×#3264	C₂³	1	4	yes	—
262	#60751	C₂³	1	2	yes	—
263	#60750	C₂³	1	2	yes	—
264	#60734	C₂³	1	2	yes	—
265	C₂×#3155	D₄	1	2	yes	complemented
266	C₂²×#496	D₄	1	1	yes	characteristic, complemented
267	C₂×#3058	D₄	1	2	yes	complemented
268	C₂²×#469	D₄	1	1	yes	characteristic, complemented
269	C₂×#3050	C₂³	1	2	yes	—
270	C₂²×#465	C₂³	1	1	yes	characteristic
271	C₂×#3041	D₄	1	2	yes	complemented
272	C₂×#3041	D₄	1	2	yes	complemented
273	C₂²×#463	D₄	1	1	yes	characteristic, complemented
274	C₂²×#459	D₄	1	1	yes	characteristic, complemented
275	C₂×#3008	D₄	1	2	yes	complemented
276	C₂×#3008	D₄	1	2	yes	complemented
277	C₂×#3003	C₂³	1	2	yes	—
278	C₂×#3003	C₂³	1	2	yes	—
279	C₂×#3003	C₂³	1	2	yes	—
280	C₂×#3003	C₂³	1	2	yes	complemented
281	C₂²×#449	D₄	1	1	yes	characteristic, complemented
282	C₂²×#450	C₂³	1	1	yes	characteristic
283	C₂²×#450	C₂³	1	1	yes	characteristic, complemented
284	C₂²×#447	D₄	1	1	yes	characteristic, complemented
285	C₂²×#447	C₂³	1	1	yes	characteristic
286	C₂²×#447	C₂³	1	1	yes	characteristic
287	#60310	C₂³	1	4	yes	complemented
288	#60309	C₂³	1	4	yes	complemented
289	#60233	C₂³	1	2	yes	—
290	#60230	C₂³	1	1	yes	characteristic
291	C₂×#2948	D₄	1	2	yes	complemented
292	C₂²×#442	D₄	1	1	yes	characteristic, complemented
293	C₂×#2929	C₂³	1	2	yes	—
294	C₂²×#435	C₂³	1	1	yes	characteristic
295	#36614	C₂³	1	2	yes	—
296	#36614	C₂³	1	2	yes	—
297	#36614	C₂³	1	2	yes	complemented
298	C₂×#2848	C₂³	1	1	yes	characteristic, complemented
299	C₂×#2847	C₂³	1	1	yes	characteristic
300	#36152	C₂³	1	8	yes	—
301	#36152	C₂³	1	4	yes	—
302	#36152	C₂³	1	4	yes	complemented
303	#36152	C₂³	1	8	yes	complemented
304	D₄×#120	C₂³	1	4	yes	—
305	D₄×#120	C₂³	1	8	yes	—
306	D₄×#120	C₂³	1	4	yes	—
307	D₄×#120	C₂³	1	8	yes	complemented
308	#35222	C₂³	1	2	yes	—
309	#35222	C₂³	1	2	yes	—
310	#35222	C₂³	1	2	yes	—
311	#35222	C₂³	1	2	yes	complemented
312	C₂×#2435	C₂³	1	1	yes	characteristic, complemented
313	C₂×#2433	C₂³	1	1	yes	characteristic
314	C₂×#2408	C₂³	1	1	yes	characteristic
315	C₂×#2408	C₂³	1	1	yes	characteristic
316	#34171	C₂³	1	2	yes	—
317	#34171	C₂³	1	2	yes	complemented
318	C₂×D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
320	C₂×C₄×#120	C₂³	1	1	yes	characteristic
321	#32931	C₂³	1	4	yes	complemented
322	#32930	C₂³	1	4	yes	complemented
323	#32929	C₂³	1	4	yes	complemented
324	#32929	C₂³	1	8	yes	complemented
325	#32929	C₂³	1	4	yes	complemented
326	#32926	C₂³	1	4	yes	complemented
327	#32926	C₂³	1	4	yes	complemented
328	#32881	C₂³	1	8	yes	complemented
329	#32881	C₂³	1	8	yes	complemented
330	#32881	C₂³	1	8	yes	complemented
331	#32878	C₂³	1	8	yes	complemented
332	#32878	C₂³	1	8	yes	complemented
333	#32878	C₂³	1	8	yes	complemented
334	#29684	C₂³	1	4	yes	complemented
335	#29684	C₂³	1	4	yes	complemented
336	#25947	C₂³	1	8	yes	complemented
337	#25947	C₂³	1	2	yes	complemented
338	#25947	C₂³	1	2	yes	complemented
339	#25788	C₂³	1	4	yes	complemented
340	#25788	C₂³	1	8	yes	complemented
341	#25788	C₂³	1	4	yes	complemented
342	#25781	C₂³	1	4	yes	complemented
343	#25779	C₂³	1	4	yes	complemented
344	#25771	C₂³	1	2	yes	complemented
345	#25771	C₂³	1	8	yes	complemented
346	#25771	C₂³	1	2	yes	complemented
347	#25585	C₂³	1	4	yes	complemented
348	#25585	C₂³	1	8	yes	complemented
349	#25585	C₂³	1	8	yes	complemented
350	#25585	C₂³	1	4	yes	complemented
351	#24355	C₂³	1	8	yes	complemented
352	#24355	C₂³	1	8	yes	complemented
353	#24355	C₂³	1	8	yes	complemented
354	#24354	C₂³	1	8	yes	complemented
355	#24354	C₂³	1	8	yes	complemented
356	#24354	C₂³	1	8	yes	complemented
357	#24350	D₄	1	2	yes	—
358	#24350	C₂³	1	2	yes	—
359	#24350	C₂³	1	8	yes	complemented
360	#24350	C₂³	1	2	yes	complemented
361	#24272	C₂³	1	4	yes	—
362	#24272	C₂³	1	8	yes	complemented
363	#24272	C₂³	1	4	yes	complemented
364	#24267	C₂³	1	8	yes	complemented
365	#24260	D₄	1	2	yes	—
366	#24260	C₂³	1	8	yes	—
367	#24260	C₂³	1	2	yes	—
368	#24260	C₂³	1	2	yes	complemented
369	#24140	D₄	1	4	yes	—
370	#24140	C₂³	1	8	yes	—
371	#24140	C₂³	1	4	yes	—
372	#24140	C₂³	1	4	yes	—
373	#24140	C₂³	1	8	yes	complemented
374	#24112	D₄	1	2	yes	—
375	#24056	D₄	1	2	yes	—
376	#23984	D₄	1	2	yes	—
377	#23900	D₄	1	2	yes	—
378	#23851	C₂³	1	4	yes	—
379	#23851	C₂³	1	8	yes	—
380	#23851	C₂³	1	4	yes	complemented
381	#23851	C₂³	1	8	yes	complemented
382	#23848	C₂³	1	4	yes	—
383	#23848	C₂³	1	4	yes	—
384	#23848	C₂³	1	8	yes	—
385	#23848	C₂³	1	8	yes	complemented
386	#23595	C₂³	1	4	yes	—
387	#22476	C₂³	1	8	yes	complemented
388	#22476	C₂³	1	4	yes	complemented
389	#22476	C₂³	1	8	yes	complemented
390	#22476	C₂³	1	4	yes	complemented
391	C₂²⋊C₄×D₈	C₂³	1	8	yes	complemented
392	#22436	C₂³	1	8	yes	complemented
393	#22436	C₂³	1	8	yes	complemented
394	D₄×#99	C₂³	1	4	yes	complemented
395	D₄×#99	C₂³	1	8	yes	complemented
396	D₄×#99	C₂³	1	8	yes	complemented
397	D₄×#99	C₂³	1	4	yes	complemented
398	#21874	C₂³	1	2	yes	—
399	#21874	C₂³	1	2	yes	—
400	#21874	C₂³	1	2	yes	—
401	#21874	C₂³	1	2	yes	complemented
402	#21825	C₂³	1	2	yes	complemented
403	#21793	C₂³	1	2	yes	—
404	C₄×B(4,𝔽₂)	C₂³	1	4	yes	—
405	#21440	C₂³	1	4	yes	—
406	#21440	C₂³	1	8	yes	complemented
407	#21440	C₂³	1	4	yes	complemented
408	C₈×#120	C₂³	1	8	yes	complemented
409	#21420	C₂³	1	2	yes	—
410	#21420	C₂³	1	2	yes	—
411	#21420	C₂³	1	2	yes	complemented
412	#20967	C₂³	1	2	yes	—
413	#20967	C₂³	1	2	yes	complemented
414	C₂×#1893	C₂³	1	1	yes	characteristic
415	C₂×#1892	C₂³	1	1	yes	characteristic, complemented
416	#20895	C₂³	1	2	yes	—
417	C₂×#1869	C₂³	1	1	yes	characteristic
418	#20834	C₂³	1	2	yes	complemented
419	C₂×#1850	C₂³	1	1	yes	characteristic, complemented
420	#20722	C₂³	1	1	yes	characteristic
421	#20722	C₂³	1	1	yes	characteristic
422	#20722	C₂³	1	1	yes	characteristic
423	#20658	C₂³	1	2	yes	complemented
424	C₂×#1807	C₂³	1	1	yes	characteristic, complemented
425	#20598	C₂³	1	2	yes	—
426	#20598	C₂³	1	2	yes	complemented
427	#20598	C₂³	1	2	yes	complemented
428	#20598	C₂³	1	2	yes	complemented
429	C₂×#1786	C₂³	1	1	yes	characteristic
430	C₂×#1786	C₂³	1	1	yes	characteristic, complemented
431	C₂×#1786	C₂³	1	1	yes	characteristic, complemented
432	C₂×#1786	C₂³	1	1	yes	characteristic, complemented
433	#20579	C₂³	1	2	yes	complemented
434	C₂×#1779	C₂³	1	1	yes	characteristic, complemented
435	#20385	C₂³	1	2	yes	complemented
436	C₂×#1752	C₂³	1	1	yes	characteristic, complemented
437	#18198	C₂³	1	8	yes	complemented
438	#18198	C₂³	1	8	yes	complemented
439	#18198	C₂³	1	4	yes	complemented
440	#18198	C₂³	1	4	yes	complemented
441	#18196	C₂³	1	8	yes	complemented
442	#18196	C₂³	1	2	yes	complemented
443	#18196	C₂³	1	2	yes	complemented
444	#18194	C₂³	1	8	yes	complemented
445	#18194	C₂³	1	2	yes	complemented
446	#18194	C₂³	1	2	yes	complemented
447	#17592	C₂³	1	2	yes	—
448	#17592	C₂³	1	2	yes	complemented
449	#17578	C₂³	1	2	yes	complemented
450	#17577	C₂³	1	2	yes	—
451	#17572	C₂³	1	2	yes	—
452	#17572	C₂³	1	2	yes	complemented
453	#17381	C₂³	1	2	yes	—
454	#17362	C₂³	1	1	yes	characteristic
455	#10566	C₂³	1	8	yes	complemented
456	#10566	C₂³	1	4	yes	complemented
457	#10565	C₂³	1	8	yes	complemented
458	#10565	C₂³	1	8	yes	complemented
459	#10565	C₂³	1	4	yes	complemented
460	#10565	C₂³	1	4	yes	complemented
461	#10564	C₂³	1	8	yes	complemented
462	#10564	C₂³	1	4	yes	complemented
463	#10324	C₂³	1	8	yes	complemented
464	#10324	C₂³	1	4	yes	complemented
465	#10322	C₂³	1	8	yes	complemented
466	#10322	C₂³	1	8	yes	complemented
467	#10322	C₂³	1	4	yes	complemented
468	#10322	C₂³	1	4	yes	complemented
469	#10320	C₂³	1	8	yes	complemented
470	#10320	C₂³	1	4	yes	complemented
471	#9955	C₂³	1	8	yes	complemented
472	#9955	C₂³	1	8	yes	complemented
473	#9955	C₂³	1	4	yes	complemented
474	#9955	C₂³	1	4	yes	complemented
475	#9954	C₂³	1	8	yes	complemented
476	#9954	C₂³	1	8	yes	complemented
477	#9954	C₂³	1	4	yes	complemented
478	#9954	C₂³	1	4	yes	complemented
479	#9947	C₂³	1	8	yes	complemented
480	#9947	C₂³	1	8	yes	complemented
481	#9947	C₂³	1	4	yes	complemented
482	#9947	C₂³	1	4	yes	complemented
483	#9946	C₂³	1	8	yes	complemented
484	#9946	C₂³	1	8	yes	complemented
485	#9946	C₂³	1	4	yes	complemented
486	#9946	C₂³	1	4	yes	complemented
487	#9786	C₂³	1	4	yes	complemented
488	#9786	C₂³	1	8	yes	complemented
489	#9786	C₂³	1	4	yes	complemented
490	#9785	C₂³	1	4	yes	complemented
491	#9785	C₂³	1	4	yes	complemented
492	#9784	C₂³	1	4	yes	complemented
493	#9784	C₂³	1	4	yes	complemented
494	#9781	C₂³	1	4	yes	complemented
495	#9781	C₂³	1	8	yes	complemented
496	#9781	C₂³	1	4	yes	complemented
497	#9472	C₂³	1	4	yes	complemented
498	#9472	C₂³	1	8	yes	complemented
499	#9472	C₂³	1	8	yes	complemented
500	#9472	C₂³	1	4	yes	complemented
501	#9468	C₂³	1	4	yes	complemented
502	#9468	C₂³	1	8	yes	complemented
503	#9468	C₂³	1	8	yes	complemented
504	#9468	C₂³	1	4	yes	complemented
505	#9259	C₂³	1	8	yes	complemented
506	#9259	C₂³	1	8	yes	complemented
507	#9259	C₂³	1	8	yes	complemented
508	#9259	C₂³	1	8	yes	complemented
509	#9259	C₂³	1	8	yes	complemented
510	#9259	C₂³	1	8	yes	complemented
511	#9255	C₂³	1	8	yes	complemented
512	#9255	C₂³	1	8	yes	complemented
513	#9255	C₂³	1	8	yes	complemented
514	#9255	C₂³	1	8	yes	complemented
515	#9255	C₂³	1	8	yes	complemented
516	#9255	C₂³	1	8	yes	complemented
517	#8967	C₂³	1	4	yes	—
518	#8967	C₂³	1	8	yes	complemented
519	#8965	C₂³	1	4	yes	complemented
520	#8965	C₂³	1	8	yes	complemented
521	#8852	C₂³	1	4	yes	complemented
522	#8852	C₂³	1	8	yes	complemented
523	#8851	C₂³	1	4	yes	complemented
524	#8851	C₂³	1	8	yes	complemented
525	#8610	C₂³	1	8	yes	complemented
526	#8610	C₂³	1	4	yes	complemented
527	#8610	C₂³	1	4	yes	complemented
528	#8608	C₂³	1	8	yes	complemented
529	#8381	C₂³	1	4	yes	complemented
530	#8381	C₂³	1	4	yes	complemented
531	#8381	C₂³	1	8	yes	complemented
532	#8381	C₂³	1	8	yes	complemented
533	#8375	C₂³	1	4	yes	complemented
534	#8375	C₂³	1	4	yes	complemented
535	#8375	C₂³	1	8	yes	complemented
536	#8375	C₂³	1	8	yes	complemented
537	#8352	C₂³	1	8	yes	complemented
538	#8352	C₂³	1	8	yes	complemented
539	#8352	C₂³	1	4	yes	complemented
540	#8352	C₂³	1	4	yes	complemented
541	#8351	C₂³	1	8	yes	complemented
542	#8351	C₂³	1	2	yes	complemented
543	#8351	C₂³	1	2	yes	complemented
544	#8350	C₂³	1	8	yes	complemented
545	#8350	C₂³	1	2	yes	complemented
546	#8350	C₂³	1	2	yes	complemented
547	#8317	C₂³	1	4	yes	complemented
548	#8316	C₂³	1	4	yes	complemented
549	#8161	C₂³	1	8	yes	complemented
550	#8161	C₂³	1	4	yes	complemented
551	#8161	C₂³	1	4	yes	complemented
552	#8160	C₂³	1	8	yes	complemented
553	#7983	C₂³	1	2	yes	complemented
554	#7983	C₂³	1	2	yes	complemented
555	#7982	C₂³	1	2	yes	complemented
556	#7929	C₂³	1	2	yes	complemented
557	#7927	C₂³	1	2	yes	complemented
558	#7925	C₂³	1	2	yes	complemented
559	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	complemented
560	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	complemented
561	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
562	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
563	C₂⁴×D₄	C₂⁴	1	4	yes	—
564	C₂⁴×D₄	C₂⁴	1	4	yes	—
565	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
566	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
567	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
568	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
569	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
571	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
572	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
573	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
574	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
575	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
576	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
577	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
578	C₂²×#135	C₂×D₄	1	2	yes	complemented
579	C₂²×#135	C₂×D₄	1	4	yes	complemented
580	C₂³×SD₁₆	C₂×D₄	1	1	yes	characteristic, complemented
581	C₂³×SD₁₆	C₂×D₄	1	1	yes	characteristic, complemented
582	C₂³×SD₁₆	C₂×D₄	1	1	yes	characteristic, complemented
583	C₂³×D₈	C₂×D₄	1	2	yes	—
584	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
585	C₂³×D₈	C₂×D₄	1	2	yes	—
586	C₂³×D₈	C₂×D₄	1	2	yes	—
587	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
588	C₂³×D₈	C₂×D₄	1	2	yes	—
589	C₂³×D₈	C₂×D₄	1	4	yes	—
590	C₂³×D₈	C₂×D₄	1	4	yes	—
591	C₂³×D₈	C₂×D₄	1	4	yes	—
592	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
593	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
594	C₂³×D₈	C₂×D₄	1	1	yes	characteristic, complemented
595	C₂³×D₈	C₂×D₄	1	1	yes	characteristic, complemented
596	C₂³×D₈	C₂×D₄	1	4	yes	complemented
597	C₂³×D₈	C₂⁴	1	4	yes	—
598	C₂³×D₈	C₂⁴	1	4	yes	—
599	C₂³×D₈	C₂⁴	1	4	yes	—
600	C₂³×D₈	C₂⁴	1	4	yes	—
601	C₂²×#131	C₂×D₄	1	2	yes	complemented
602	C₂³×M₁₆	C₂×D₄	1	1	yes	characteristic, complemented
603	C₂⁴×C₈	C₂⁴	1	4	yes	—
604	C₂⁴×C₈	C₂⁴	1	1	yes	characteristic
605	C₂⁴×C₈	C₂⁴	1	1	yes	characteristic
606	#3505	C₂×D₄	1	2	yes	—
607	#3505	C₂⁴	1	2	yes	—
608	#3505	C₂⁴	1	4	yes	—
609	#3505	C₂⁴	1	4	yes	—
610	#3505	C₂⁴	1	2	yes	—
611	#3501	C₂×D₄	1	1	yes	characteristic
612	#3501	C₂⁴	1	1	yes	characteristic
613	#3501	C₂⁴	1	4	yes	—
614	#3501	C₂⁴	1	1	yes	characteristic
615	#3496	C₂×D₄	1	1	yes	characteristic
616	#3496	C₂⁴	1	1	yes	characteristic
617	#3496	C₂⁴	1	4	yes	—
618	#3496	C₂⁴	1	1	yes	characteristic
619	#3490	C₂×D₄	1	2	yes	—
620	#3484	C₂×D₄	1	2	yes	—
621	C₂×#546	C₂×D₄	1	4	yes	complemented
622	C₂×#546	C₂×D₄	1	2	yes	complemented
623	C₂×#546	C₂×D₄	1	2	yes	complemented
624	C₂×#546	C₂×D₄	1	4	yes	complemented
625	C₂×#546	C₂⁴	1	2	yes	—
626	C₂×#546	C₂⁴	1	4	yes	—
627	C₂×#546	C₂⁴	1	2	yes	—
628	C₂×#546	C₂⁴	1	4	yes	—
629	C₂×D₄²	C₂×D₄	1	4	yes	complemented
630	C₂×D₄²	C₂×D₄	1	2	yes	complemented
631	C₂×D₄²	C₂×D₄	1	2	yes	complemented
632	C₂×D₄²	C₂×D₄	1	4	yes	complemented
633	C₂×D₄²	C₂⁴	1	2	yes	—
634	C₂×D₄²	C₂⁴	1	4	yes	—
635	C₂×D₄²	C₂⁴	1	2	yes	—
636	C₂×D₄²	C₂⁴	1	4	yes	—
637	#3459	C₂⁴	1	2	yes	—
638	C₂×#535	C₂×D₄	1	2	yes	complemented
639	C₂×#535	C₂×D₄	1	2	yes	complemented
640	C₂×#535	C₂×D₄	1	2	yes	complemented
641	C₂×#535	C₂×D₄	1	2	yes	complemented
642	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
643	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
644	C₂×#525	C₂⁴	1	2	yes	—
645	C₂×#525	C₂⁴	1	2	yes	—
646	C₂×#525	C₂⁴	1	2	yes	—
647	C₂²×C₂²⋊Q₈	C₂⁴	1	1	yes	characteristic
648	C₂²×#121	C₂×D₄	1	1	yes	characteristic, complemented
649	C₂²×#121	C₂×D₄	1	1	yes	characteristic, complemented
650	C₂²×#121	C₂⁴	1	1	yes	characteristic
651	C₂²×#120	C₂×D₄	1	1	yes	characteristic
652	C₄×H(5,𝔽₂)	C₂⁴	1	2	yes	—
653	C₂×#518	C₂×D₄	1	2	yes	complemented
654	C₂×#518	C₂×D₄	1	2	yes	complemented
655	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
656	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
657	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
658	#3189	C₂⁴	1	4	yes	—
659	#3189	C₂⁴	1	2	yes	—
660	#3187	C₂⁴	1	4	yes	—
661	#3187	C₂⁴	1	4	yes	—
662	#3187	C₂⁴	1	2	yes	—
663	#3187	C₂⁴	1	2	yes	—
664	#3186	C₂⁴	1	4	yes	—
665	#3186	C₂⁴	1	2	yes	—
666	C₂×#496	C₂×D₄	1	4	yes	complemented
667	C₂×#496	C₂×D₄	1	4	yes	complemented
668	C₂×#496	C₂×D₄	1	4	yes	complemented
669	C₂×#496	C₂×D₄	1	4	yes	complemented
670	C₂×#495	C₂×D₄	1	4	yes	complemented
671	C₂×#493	C₂×D₄	1	4	yes	complemented
672	C₂×#469	C₂×D₄	1	4	yes	complemented
673	C₂×#469	C₂×D₄	1	4	yes	complemented
674	C₂×#469	C₂×D₄	1	4	yes	complemented
675	C₂×#469	C₂×D₄	1	4	yes	complemented
676	C₂×#467	C₂×D₄	1	2	yes	complemented
677	C₂×#467	C₂⁴	1	2	yes	—
678	C₂×#466	C₂×D₄	1	2	yes	complemented
679	C₂×#466	C₂×D₄	1	4	yes	complemented
680	C₂×#466	C₂×D₄	1	4	yes	complemented
681	C₂×#466	C₂⁴	1	2	yes	—
682	C₂×#465	C₂×D₄	1	4	yes	complemented
683	C₂×#465	C₂×D₄	1	2	yes	complemented
684	C₂×#465	C₂×D₄	1	2	yes	complemented
685	C₂×#465	C₂⁴	1	4	yes	—
686	C₂×#465	C₂⁴	1	2	yes	—
687	C₂×#465	C₂⁴	1	2	yes	—
688	C₂×#463	C₂×D₄	1	4	yes	complemented
689	C₂×#463	C₂×D₄	1	4	yes	complemented
690	C₂×#463	C₂×D₄	1	4	yes	complemented
691	C₂×#463	C₂×D₄	1	4	yes	complemented
692	C₂×#463	C₂×D₄	1	4	yes	complemented
693	C₂×#463	C₂×D₄	1	4	yes	complemented
694	C₂×#459	C₂×D₄	1	4	yes	complemented
695	C₂×#459	C₂×D₄	1	4	yes	complemented
696	C₂×#459	C₂×D₄	1	4	yes	complemented
697	C₂×#459	C₂×D₄	1	4	yes	complemented
698	C₂×#459	C₂×D₄	1	4	yes	complemented
699	C₂×#459	C₂×D₄	1	4	yes	complemented
700	C₂×B(4,𝔽₂)	C₂×D₄	1	4	yes	—
701	C₂×#449	C₂×D₄	1	4	yes	complemented
702	C₂×#449	C₂×D₄	1	4	yes	complemented
703	C₂×#449	C₂×D₄	1	4	yes	complemented
704	C₂×#449	C₂×D₄	1	4	yes	complemented
705	C₂×#449	C₂×D₄	1	4	yes	complemented
706	C₂×#449	C₂×D₄	1	4	yes	complemented
707	C₂×#450	C₂×D₄	1	4	yes	complemented
708	C₂×#450	C₂×D₄	1	4	yes	complemented
709	C₂×#450	C₂×D₄	1	4	yes	complemented
710	C₂×#450	C₂⁴	1	4	yes	—
711	C₂×#450	C₂⁴	1	4	yes	—
712	C₂×#450	C₂⁴	1	4	yes	—
713	C₂×#450	C₂⁴	1	4	yes	—
714	C₂×#450	C₂⁴	1	4	yes	—
715	C₂×#450	C₂⁴	1	4	yes	—
716	C₂×#447	C₂×D₄	1	4	yes	complemented
717	C₂×#447	C₂×D₄	1	4	yes	complemented
718	C₂×#447	C₂×D₄	1	4	yes	complemented
719	C₂×#447	C₂×D₄	1	4	yes	complemented
720	C₂×#447	C₂×D₄	1	4	yes	complemented
721	C₂×#447	C₂×D₄	1	4	yes	complemented
722	C₂×#447	C₂×D₄	1	4	yes	complemented
723	C₂×#447	C₂×D₄	1	4	yes	complemented
724	C₂×#447	C₂×D₄	1	4	yes	complemented
725	C₂×#447	C₂⁴	1	4	yes	—
726	C₂×#447	C₂⁴	1	4	yes	—
727	C₂×#447	C₂⁴	1	4	yes	—
728	C₂×#447	C₂⁴	1	4	yes	—
729	C₂×#447	C₂⁴	1	4	yes	—
730	C₂×#447	C₂⁴	1	4	yes	—
731	#2973	C₂⁴	1	2	yes	—
732	#2973	C₂⁴	1	4	yes	—
733	#2972	C₂⁴	1	2	yes	—
734	#2972	C₂⁴	1	4	yes	—
735	C₂×#442	C₂×D₄	1	4	yes	complemented
736	C₂×#442	C₂×D₄	1	4	yes	complemented
737	C₂×#442	C₂×D₄	1	4	yes	complemented
738	C₂×#442	C₂×D₄	1	4	yes	complemented
739	C₂×C₄×D₈	C₂×D₄	1	4	yes	complemented
740	C₂×C₄×D₈	C₂×D₄	1	4	yes	complemented
741	C₂×#435	C₂×D₄	1	2	yes	complemented
742	C₂×#435	C₂×D₄	1	2	yes	complemented
743	C₂×#435	C₂×D₄	1	4	yes	complemented
744	C₂×#435	C₂⁴	1	2	yes	—
745	C₂×#435	C₂⁴	1	2	yes	—
746	C₂×#435	C₂⁴	1	4	yes	—
747	C₂×C₈×D₄	C₂×D₄	1	4	yes	complemented
748	C₂×C₈×D₄	C₂⁴	1	4	yes	—
749	C₂×#427	C₂×D₄	1	2	yes	complemented
750	C₂²×#106	C₂×D₄	1	1	yes	characteristic, complemented
751	C₂×#424	C₂×D₄	1	2	yes	complemented
752	C₂²×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
753	C₂×#418	C₂×D₄	1	2	yes	complemented
754	C₂×#418	C₂×D₄	1	2	yes	complemented
755	C₂×#418	C₂×D₄	1	2	yes	complemented
756	C₂×#418	C₂×D₄	1	2	yes	complemented
757	C₂×#416	C₂×D₄	1	2	yes	complemented
758	C₂×#416	C₂×D₄	1	2	yes	complemented
759	C₂²×#103	C₂×D₄	1	1	yes	characteristic, complemented
760	C₂²×#102	C₂×D₄	1	1	yes	characteristic, complemented
761	C₂²×#102	C₂×D₄	1	1	yes	characteristic, complemented
762	C₂²×#102	C₂×D₄	1	1	yes	characteristic, complemented
763	C₂²×#102	C₂×D₄	1	1	yes	characteristic, complemented
764	C₂²×#102	C₂×D₄	1	1	yes	characteristic, complemented
765	C₂×#408	C₂×D₄	1	2	yes	complemented
766	C₂×#407	C₂⁴	1	2	yes	—
767	C₂×#407	C₂⁴	1	2	yes	—
768	C₂²×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
769	C₂²×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
770	C₂²×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
771	C₂×#405	C₂×D₄	1	2	yes	complemented
772	C₂²×#97	C₂×D₄	1	1	yes	characteristic, complemented
773	#2849	C₂×D₄	1	4	yes	—
774	#2848	C₂×D₄	1	4	yes	—
775	#2848	C₂⁴	1	4	yes	—
776	#2848	C₂⁴	1	4	yes	—
777	#2848	C₂⁴	1	4	yes	—
778	#2847	C₂×D₄	1	4	yes	—
779	#2847	C₂⁴	1	4	yes	—
780	#2847	C₂⁴	1	4	yes	—
781	#2847	C₂⁴	1	4	yes	—
782	#2846	C₂×D₄	1	4	yes	—
783	#2435	C₂⁴	1	4	yes	—
784	#2435	C₂⁴	1	4	yes	—
785	#2435	C₂⁴	1	4	yes	—
786	#2433	C₂⁴	1	4	yes	—
787	#2433	C₂⁴	1	4	yes	—
788	#2433	C₂⁴	1	4	yes	—
789	#2408	C₂⁴	1	2	yes	—
790	#2408	C₂⁴	1	2	yes	—
791	#2408	C₂⁴	1	8	yes	—
792	#2408	C₂⁴	1	8	yes	—
793	#2408	C₂⁴	1	2	yes	—
794	#2408	C₂⁴	1	2	yes	—
795	D₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
796	D₄×C₂²⋊C₄	C₂⁴	1	8	yes	—
797	D₄×C₂²⋊C₄	C₂⁴	1	8	yes	—
798	D₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
799	C₄×#120	C₂×D₄	1	2	yes	—
800	C₄×#120	C₂×D₄	1	2	yes	—
801	C₄×#120	C₂⁴	1	2	yes	—
802	C₄×#120	C₂⁴	1	8	yes	—
803	C₄×#120	C₂⁴	1	2	yes	—
804	C₂×#386	C₂×D₄	1	1	yes	characteristic
805	C₂×#385	C₂×D₄	1	1	yes	characteristic
806	#2280	C₂⁴	1	2	yes	—
807	#2280	C₂⁴	1	2	yes	—
808	#2280	C₂⁴	1	2	yes	—
809	C₂×#380	C₂⁴	1	1	yes	characteristic
810	C₂×#380	C₂⁴	1	1	yes	characteristic
811	C₂×#379	C₂×D₄	1	1	yes	characteristic
812	C₂×C₄×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
813	#2062	C₂×D₄	1	4	yes	—
814	#2044	C₂×D₄	1	4	yes	—
815	#2044	C₂×D₄	1	8	yes	—
816	#2029	C₂×D₄	1	4	yes	—
817	#2021	C₂×D₄	1	8	yes	—
818	#2021	C₂×D₄	1	4	yes	—
819	#1996	C₂×D₄	1	4	yes	—
820	#1996	C₂⁴	1	4	yes	—
821	#1996	C₂⁴	1	4	yes	—
822	#1996	C₂⁴	1	8	yes	—
823	#1996	C₂⁴	1	4	yes	—
824	#1996	C₂⁴	1	4	yes	—
825	#1964	C₂×D₄	1	4	yes	—
826	#1964	C₂⁴	1	8	yes	—
827	#1964	C₂⁴	1	4	yes	—
828	#1964	C₂⁴	1	4	yes	—
829	#1964	C₂⁴	1	4	yes	—
830	#1964	C₂⁴	1	4	yes	—
831	#1898	C₂×D₄	1	4	yes	—
832	#1898	C₂×D₄	1	4	yes	—
833	#1893	C₂⁴	1	4	yes	—
834	#1893	C₂⁴	1	4	yes	—
835	#1893	C₂⁴	1	4	yes	—
836	#1892	C₂⁴	1	4	yes	—
837	#1892	C₂⁴	1	4	yes	—
838	#1892	C₂⁴	1	4	yes	—
839	#1889	C₂×D₄	1	4	yes	—
840	#1889	C₂×D₄	1	8	yes	—
841	#1869	C₂⁴	1	2	yes	—
842	#1869	C₂⁴	1	2	yes	—
843	#1869	C₂⁴	1	8	yes	—
844	#1867	C₂×D₄	1	4	yes	—
845	#1867	C₂×D₄	1	8	yes	—
846	#1850	C₂⁴	1	4	yes	—
847	#1850	C₂⁴	1	8	yes	—
848	#1819	C₂×D₄	1	2	yes	—
849	#1808	C₂⁴	1	4	yes	—
850	#1807	C₂⁴	1	4	yes	—
851	#1807	C₂⁴	1	4	yes	—
852	#1799	C₂×D₄	1	2	yes	—
853	#1799	C₂×D₄	1	2	yes	—
854	#1799	C₂⁴	1	2	yes	—
855	#1799	C₂⁴	1	2	yes	—
856	#1799	C₂⁴	1	8	yes	—
857	#1799	C₂⁴	1	8	yes	—
858	#1799	C₂⁴	1	2	yes	—
859	#1799	C₂⁴	1	2	yes	—
860	#1790	C₂×D₄	1	4	yes	—
861	#1786	C₂⁴	1	4	yes	—
862	#1786	C₂⁴	1	8	yes	—
863	#1786	C₂⁴	1	8	yes	—
864	#1786	C₂⁴	1	4	yes	—
865	#1786	C₂⁴	1	8	yes	—
866	#1786	C₂⁴	1	4	yes	—
867	#1786	C₂⁴	1	4	yes	—
868	#1786	C₂⁴	1	8	yes	—
869	#1781	C₂×D₄	1	2	yes	—
870	#1779	C₂⁴	1	8	yes	—
871	#1779	C₂⁴	1	4	yes	—
872	C₄×#99	C₂⁴	1	2	yes	—
873	C₄×#99	C₂⁴	1	8	yes	—
874	C₄×#99	C₂⁴	1	2	yes	—
875	#1752	C₂⁴	1	4	yes	—
876	#1752	C₂⁴	1	4	yes	—
877	C₈×C₂²⋊C₄	C₂⁴	1	4	yes	—
878	#1520	C₂⁴	1	4	yes	—
879	#1520	C₂⁴	1	4	yes	—
880	#1520	C₂⁴	1	4	yes	—
881	#1520	C₂⁴	1	8	yes	—
882	#1520	C₂⁴	1	4	yes	—
883	#1519	C₂⁴	1	4	yes	—
884	#1519	C₂⁴	1	4	yes	—
885	#1519	C₂⁴	1	4	yes	—
886	#1519	C₂⁴	1	8	yes	—
887	#1519	C₂⁴	1	4	yes	—
888	#1459	C₂⁴	1	2	yes	—
889	#1459	C₂⁴	1	8	yes	—
890	#1459	C₂⁴	1	2	yes	—
891	#1289	C₂⁴	1	4	yes	—
892	#1289	C₂⁴	1	4	yes	—
893	#1289	C₂⁴	1	8	yes	—
894	#1289	C₂⁴	1	8	yes	—
895	#1282	C₂⁴	1	4	yes	—
896	#1282	C₂⁴	1	8	yes	—
897	#1282	C₂⁴	1	8	yes	—
898	#1282	C₂⁴	1	4	yes	—
899	C₂⁶	C₂²×D₄	1	1	yes	characteristic
900	C₂×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
901	C₂²×#41	C₂²×D₄	1	2	yes	—
902	C₂²×#41	C₂²×D₄	1	2	yes	—
903	C₂²×#41	C₂²×D₄	1	2	yes	—
904	C₂²×#41	C₂²×D₄	1	2	yes	—
905	C₂²×#41	C₂²×D₄	1	4	yes	—
906	C₂²×#41	C₂²×D₄	1	2	yes	—
907	C₂²×#41	C₂²×D₄	1	4	yes	complemented
908	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
909	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
910	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
911	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
912	C₂³×D₄	C₂²×D₄	1	2	yes	—
913	C₂³×D₄	C₂²×D₄	1	2	yes	—
914	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
915	C₂³×D₄	C₂²×D₄	1	2	yes	—
916	C₂³×D₄	C₂²×D₄	1	2	yes	—
917	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
918	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
919	C₂³×D₄	C₂²×D₄	1	2	yes	—
920	C₂³×D₄	C₂²×D₄	1	2	yes	—
921	C₂³×D₄	C₂²×D₄	1	4	yes	—
922	C₂³×D₄	C₂²×D₄	1	4	yes	—
923	C₂³×D₄	C₂²×D₄	1	2	yes	—
924	C₂³×D₄	C₂²×D₄	1	4	yes	—
925	C₂³×D₄	C₂²×D₄	1	2	yes	—
926	C₂³×D₄	C₂²×D₄	1	4	yes	complemented
927	C₂³×D₄	C₂⁵	1	2	yes	—
928	C₂³×D₄	C₂⁵	1	2	yes	—
929	C₂³×D₄	C₂⁵	1	2	yes	—
930	C₂³×D₄	C₂⁵	1	2	yes	—
931	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
932	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
933	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
934	C₂⁴×C₄	C₂⁵	1	2	yes	—
935	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
936	C₂²×Q₁₆	C₂²×D₄	1	2	yes	complemented
937	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
938	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
939	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
940	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
941	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
942	C₂²×SD₁₆	C₂²×D₄	1	2	yes	complemented
943	C₂²×SD₁₆	C₂²×D₄	1	2	yes	complemented
944	C₂²×SD₁₆	C₂²×D₄	1	4	yes	complemented
945	C₂²×SD₁₆	C₂²×D₄	1	4	yes	complemented
946	C₂²×D₈	#120	1	2	yes	—
947	C₂²×D₈	#120	1	1	yes	characteristic
948	C₂²×D₈	#120	1	1	yes	characteristic
949	C₂²×D₈	#120	1	1	yes	characteristic
950	C₂²×D₈	#120	1	4	yes	—
951	C₂²×D₈	#120	1	2	yes	—
952	C₂²×D₈	#120	1	2	yes	—
953	C₂²×D₈	#120	1	4	yes	—
954	C₂²×D₈	#120	1	4	yes	—
955	C₂²×D₈	#120	1	2	yes	—
956	C₂²×D₈	#120	1	4	yes	—
957	C₂²×D₈	#120	1	2	yes	—
958	C₂²×D₈	#120	1	2	yes	—
959	C₂²×D₈	#120	1	4	yes	—
960	C₂²×D₈	#120	1	4	yes	—
961	C₂²×D₈	#120	1	2	yes	—
962	C₂²×D₈	#120	1	2	yes	—
963	C₂²×D₈	#120	1	2	yes	—
964	C₂²×D₈	#120	1	2	yes	—
965	C₂²×D₈	#120	1	4	yes	—
966	C₂²×D₈	#120	1	4	yes	—
967	C₂²×D₈	#120	1	4	yes	—
968	C₂²×D₈	#120	1	4	yes	—
969	C₂²×D₈	#120	1	1	yes	characteristic
970	C₂²×D₈	C₂²×D₄	1	4	yes	—
971	C₂²×D₈	C₂²×D₄	1	4	yes	—
972	C₂²×D₈	C₂²×D₄	1	4	yes	—
973	C₂²×D₈	C₂²×D₄	1	4	yes	—
974	C₂²×D₈	C₂²×D₄	1	4	yes	—
975	C₂²×D₈	C₂²×D₄	1	4	yes	—
976	C₂²×D₈	C₂²×D₄	1	4	yes	—
977	C₂²×D₈	C₂²×D₄	1	4	yes	—
978	C₂²×D₈	C₂²×D₄	1	4	yes	—
979	C₂²×D₈	C₂²×D₄	1	4	yes	—
980	C₂²×D₈	C₂²×D₄	1	4	yes	—
981	C₂²×D₈	C₂²×D₄	1	4	yes	—
982	C₂²×D₈	C₂²×D₄	1	4	yes	—
983	C₂²×D₈	C₂²×D₄	1	4	yes	—
984	C₂²×D₈	C₂²×D₄	1	4	yes	—
985	C₂²×D₈	C₂²×D₄	1	4	yes	—
986	C₂²×D₈	C₂²×D₄	1	2	yes	complemented
987	C₂²×D₈	C₂²×D₄	1	4	yes	complemented
988	C₂²×D₈	C₂²×D₄	1	4	yes	complemented
989	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
990	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
991	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
992	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
993	C₂²×M₁₆	C₂²×D₄	1	4	yes	complemented
994	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
995	C₂³×C₈	C₂²×D₄	1	2	yes	—
996	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
997	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
998	C₂³×C₈	C₂²×D₄	1	2	yes	—
999	C₂³×C₈	C₂²×D₄	1	2	yes	—
1000	C₂³×C₈	C₂²×D₄	1	2	yes	—
1001	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1002	C₂³×C₈	C₂²×D₄	1	2	yes	—
1003	C₂³×C₈	C₂²×D₄	1	4	yes	complemented
1004	C₂³×C₈	C₂⁵	1	2	yes	—
1005	C₂³×C₈	C₂⁵	1	2	yes	—
1006	#543	C₂²×D₄	1	2	yes	—
1007	#534	C₂²×D₄	1	4	yes	—
1008	#534	C₂²×D₄	1	2	yes	—
1009	C₂×#127	C₂²×D₄	1	4	yes	—
1010	C₂×#127	C₂²×D₄	1	2	yes	—
1011	C₂×#127	C₂²×D₄	1	2	yes	—
1012	C₂×#127	C₂²×D₄	1	4	yes	complemented
1013	C₂×#124	C₂²×D₄	1	4	yes	—
1014	C₂×#124	C₂²×D₄	1	2	yes	—
1015	C₂×#124	C₂²×D₄	1	2	yes	—
1016	C₂×#124	C₂²×D₄	1	4	yes	complemented
1017	C₂×#123	H(5,𝔽₂)	1	4	yes	—
1018	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1019	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1020	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1021	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1022	C₂×C₂²⋊Q₈	H(5,𝔽₂)	1	2	yes	—
1023	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
1024	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
1025	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
1026	C₂×#121	C₂²×D₄	1	2	yes	—
1027	C₂×#121	C₂²×D₄	1	2	yes	—
1028	C₂×#121	C₂²×D₄	1	2	yes	—
1029	C₂×#121	C₂²×D₄	1	2	yes	—
1030	C₂×#121	C₂²×D₄	1	2	yes	—
1031	C₂×#121	C₂²×D₄	1	2	yes	—
1032	C₂×#121	C₂²×D₄	1	2	yes	—
1033	C₂×#121	C₂²×D₄	1	4	yes	—
1034	C₂×#121	C₂²×D₄	1	4	yes	—
1035	C₂×#121	C₂²×D₄	1	2	yes	—
1036	C₂×#121	C₂²×D₄	1	4	yes	complemented
1037	C₂×#121	C₂²×D₄	1	4	yes	complemented
1038	C₂×#121	H(5,𝔽₂)	1	2	yes	—
1039	C₂×#121	C₂⁵	1	2	yes	—
1040	C₂×#121	C₂⁵	1	2	yes	—
1041	C₂×#121	C₂⁵	1	2	yes	—
1042	C₂×#120	C₂²×D₄	1	8	yes	—
1043	C₂×#120	C₂²×D₄	1	2	yes	—
1044	C₂×#120	C₂²×D₄	1	2	yes	—
1045	C₂×#120	C₂²×D₄	1	4	yes	—
1046	#518	C₂²×D₄	1	2	yes	—
1047	#518	C₂²×D₄	1	4	yes	—
1048	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1049	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1050	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1051	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1052	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1053	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1054	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1055	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1056	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1057	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1058	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1059	C₂×C₄×D₄	C₂²×D₄	1	4	yes	complemented
1060	C₂×C₄×D₄	C₂²×D₄	1	4	yes	complemented
1061	C₂×C₄×D₄	H(5,𝔽₂)	1	1	yes	characteristic
1062	C₂×C₄×D₄	H(5,𝔽₂)	1	1	yes	characteristic
1063	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1064	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1065	C₂×C₄×D₄	C₂⁵	1	4	yes	—
1066	C₂×#117	C₂²×D₄	1	2	yes	—
1067	C₂×#117	C₂²×D₄	1	2	yes	—
1068	C₂×#117	C₂²×D₄	1	2	yes	—
1069	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1070	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1071	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
1072	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1073	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1074	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1075	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
1076	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1077	C₂×#107	C₂²×D₄	1	2	yes	complemented
1078	C₂×#107	C₂²×D₄	1	2	yes	complemented
1079	C₂×#106	C₂²×D₄	1	4	yes	—
1080	C₂×#106	C₂²×D₄	1	2	yes	complemented
1081	C₂×#106	C₂²×D₄	1	2	yes	complemented
1082	C₂×C₄⋊C₈	C₂²×D₄	1	2	yes	—
1083	C₂×C₄⋊C₈	C₂²×D₄	1	2	yes	—
1084	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	complemented
1085	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	complemented
1086	C₂×#103	C₂²×D₄	1	4	yes	—
1087	C₂×#103	C₂²×D₄	1	2	yes	complemented
1088	C₂×#103	C₂²×D₄	1	2	yes	complemented
1089	C₂×#103	C₂²×D₄	1	2	yes	complemented
1090	C₂×#103	C₂²×D₄	1	2	yes	complemented
1091	C₂×#102	C₂²×D₄	1	4	yes	—
1092	C₂×#102	C₂²×D₄	1	4	yes	—
1093	C₂×#102	C₂²×D₄	1	4	yes	—
1094	C₂×#102	C₂²×D₄	1	4	yes	—
1095	C₂×#102	C₂²×D₄	1	4	yes	—
1096	C₂×#102	C₂²×D₄	1	4	yes	—
1097	C₂×#102	C₂²×D₄	1	4	yes	—
1098	C₂×#102	C₂²×D₄	1	4	yes	—
1099	C₂×#102	C₂²×D₄	1	4	yes	—
1100	C₂×#102	C₂²×D₄	1	4	yes	complemented
1101	C₂×#102	C₂²×D₄	1	4	yes	complemented
1102	C₂×#102	C₂²×D₄	1	2	yes	complemented
1103	C₂×#102	C₂²×D₄	1	2	yes	complemented
1104	C₂×#102	C₂²×D₄	1	2	yes	complemented
1105	C₂×#102	C₂²×D₄	1	2	yes	complemented
1106	C₂×#102	C₂²×D₄	1	4	yes	complemented
1107	C₂×#102	C₂²×D₄	1	4	yes	complemented
1108	C₂×#99	C₂²×D₄	1	4	yes	—
1109	C₂×#99	C₂²×D₄	1	4	yes	—
1110	C₂×#99	C₂²×D₄	1	8	yes	—
1111	C₂×#99	C₂²×D₄	1	8	yes	—
1112	C₂×C₂²⋊C₈	C₂²×D₄	1	2	yes	—
1113	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	—
1114	C₂×C₂²⋊C₈	C₂²×D₄	1	2	yes	—
1115	C₂×C₂²⋊C₈	C₂²×D₄	1	2	yes	—
1116	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	complemented
1117	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	complemented
1118	C₂×C₂²⋊C₈	C₂⁵	1	2	yes	—
1119	C₂×C₂²⋊C₈	C₂⁵	1	4	yes	—
1120	C₂×C₂²⋊C₈	C₂⁵	1	2	yes	—
1121	C₂×C₂²⋊C₈	C₂⁵	1	4	yes	—
1122	C₂×#97	C₂²×D₄	1	2	yes	—
1123	C₂×#97	C₂²×D₄	1	2	yes	—
1124	C₂×#97	C₂²×D₄	1	4	yes	complemented
1125	C₂×C₄×C₈	C₂²×D₄	1	4	yes	complemented
1126	#386	C₂²×D₄	1	8	yes	—
1127	#386	C₂²×D₄	1	2	yes	—
1128	#386	C₂²×D₄	1	2	yes	—
1129	#385	C₂²×D₄	1	2	yes	—
1130	#385	C₂²×D₄	1	8	yes	—
1131	#385	C₂²×D₄	1	2	yes	—
1132	#380	C₂²×D₄	1	4	yes	—
1133	#380	C₂⁵	1	2	yes	—
1134	#380	C₂⁵	1	2	yes	—
1135	#380	C₂⁵	1	4	yes	—
1136	#380	C₂⁵	1	4	yes	—
1137	#379	C₂²×D₄	1	4	yes	—
1138	#379	C₂²×D₄	1	8	yes	—
1139	#379	C₂²×D₄	1	2	yes	—
1140	#379	C₂²×D₄	1	2	yes	—
1141	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1142	C₄×C₂²⋊C₄	C₂⁵	1	4	yes	—
1143	C₄×C₂²⋊C₄	C₂⁵	1	2	yes	—
1144	#342	C₂²×D₄	1	4	yes	—
1145	#342	C₂²×D₄	1	4	yes	—
1146	#342	C₂²×D₄	1	8	yes	—
1147	#342	C₂²×D₄	1	8	yes	—
1148	C₂⁵	D₄²	1	1	yes	characteristic
1149	C₂⁵	C₂³×D₄	1	2	yes	—
1150	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1151	C₂²×Q₈	D₄²	1	2	yes	—
1152	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1153	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1154	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1155	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1156	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1157	C₂²×D₄	C₂×#120	1	2	yes	—
1158	C₂²×D₄	C₂×#120	1	2	yes	—
1159	C₂²×D₄	C₂×#120	1	2	yes	—
1160	C₂²×D₄	C₂×#120	1	2	yes	—
1161	C₂²×D₄	C₂×#120	1	4	yes	—
1162	C₂²×D₄	C₂×#120	1	4	yes	—
1163	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1164	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1165	C₂²×D₄	C₂×#120	1	2	yes	—
1166	C₂²×D₄	C₂×#120	1	2	yes	—
1167	C₂²×D₄	C₂×#120	1	4	yes	—
1168	C₂²×D₄	C₂×#120	1	4	yes	—
1169	C₂²×D₄	D₄²	1	1	yes	characteristic
1170	C₂²×D₄	D₄²	1	1	yes	characteristic
1171	C₂²×D₄	D₄²	1	4	yes	—
1172	C₂²×D₄	D₄²	1	4	yes	—
1173	C₂²×D₄	D₄²	1	2	yes	—
1174	C₂²×D₄	C₂³×D₄	1	4	yes	—
1175	C₂²×D₄	C₂³×D₄	1	2	yes	—
1176	C₂²×D₄	C₂³×D₄	1	2	yes	—
1177	C₂²×D₄	C₂³×D₄	1	4	yes	—
1178	C₂²×D₄	C₂³×D₄	1	2	yes	—
1179	C₂²×D₄	C₂³×D₄	1	2	yes	—
1180	C₂²×D₄	C₂³×D₄	1	2	yes	—
1181	C₂²×D₄	C₂³×D₄	1	2	yes	—
1182	C₂²×D₄	C₂³×D₄	1	4	yes	—
1183	C₂²×D₄	C₂³×D₄	1	2	yes	—
1184	C₂²×D₄	C₂³×D₄	1	4	yes	—
1185	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1186	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1187	C₂²×D₄	C₂³×D₄	1	4	yes	—
1188	C₂³×C₄	D₄²	1	1	yes	characteristic
1189	C₂³×C₄	D₄²	1	1	yes	characteristic
1190	C₂³×C₄	D₄²	1	1	yes	characteristic
1191	C₂³×C₄	D₄²	1	1	yes	characteristic
1192	C₂³×C₄	D₄²	1	1	yes	characteristic
1193	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1194	C₂³×C₄	C₂³×D₄	1	2	yes	—
1195	C₂³×C₄	C₂³×D₄	1	2	yes	—
1196	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1197	C₂³×C₄	C₂³×D₄	1	4	yes	—
1198	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1199	C₂³×C₄	C₂³×D₄	1	2	yes	—
1200	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1201	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1202	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1203	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1204	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1205	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1206	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1207	C₂×D₈	B(4,𝔽₂)	1	8	yes	complemented
1208	C₂×D₈	C₂×#120	1	4	yes	—
1209	C₂×D₈	C₂×#120	1	4	yes	—
1210	C₂×D₈	C₂×#120	1	4	yes	—
1211	C₂×D₈	C₂×#120	1	4	yes	—
1212	C₂×D₈	C₂×#120	1	4	yes	—
1213	C₂×D₈	C₂×#120	1	4	yes	—
1214	C₂×D₈	C₂×#120	1	4	yes	—
1215	C₂×D₈	C₂×#120	1	4	yes	—
1216	C₂×D₈	C₂×#120	1	4	yes	—
1217	C₂×D₈	C₂×#120	1	4	yes	—
1218	C₂×D₈	C₂×#120	1	4	yes	—
1219	C₂×D₈	C₂×#120	1	4	yes	—
1220	C₂×D₈	C₂×#120	1	4	yes	—
1221	C₂×D₈	C₂×#120	1	4	yes	—
1222	C₂×D₈	C₂×#120	1	4	yes	—
1223	C₂×D₈	C₂×#120	1	4	yes	—
1224	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1225	C₂²×C₈	C₂×#120	1	2	yes	—
1226	C₂²×C₈	C₂×#120	1	2	yes	—
1227	C₂²×C₈	C₂×#120	1	2	yes	—
1228	C₂²×C₈	C₂×#120	1	2	yes	—
1229	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1230	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1231	C₂²×C₈	C₂×#120	1	2	yes	—
1232	C₂²×C₈	C₂×#120	1	2	yes	—
1233	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1234	C₂²×C₈	C₂³×D₄	1	2	yes	—
1235	C₂²×C₈	C₂³×D₄	1	2	yes	—
1236	C₂²×C₈	C₂³×D₄	1	2	yes	—
1237	C₂²×C₈	C₂³×D₄	1	2	yes	—
1238	C₂²×C₈	C₂³×D₄	1	2	yes	—
1239	C₂²×C₈	C₂³×D₄	1	4	yes	—
1240	C₂²×C₈	C₂³×D₄	1	4	yes	—
1241	C₂²×C₈	C₂³×D₄	1	2	yes	—
1242	C₂²×C₈	C₂³×D₄	1	2	yes	—
1243	C₂²×C₈	C₂³×D₄	1	2	yes	—
1244	C₂×C₄⋊C₄	D₄²	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	D₄²	1	1	yes	characteristic
1246	C₂×C₄⋊C₄	D₄²	1	2	yes	—
1247	C₂×C₄⋊C₄	D₄²	1	2	yes	—
1248	C₂×C₄⋊C₄	D₄²	1	4	yes	—
1249	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1250	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1251	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1252	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1253	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1254	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1255	C₂×C₄⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1256	C₂×C₄⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1257	C₂×C₄⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1258	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1259	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
1261	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
1262	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1263	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1264	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
1265	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1266	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1267	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
1268	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1269	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1270	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1271	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1272	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1273	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1274	C₂×C₄²	D₄²	1	1	yes	characteristic
1275	C₂×C₄²	D₄²	1	1	yes	characteristic
1276	C₂×C₄²	C₂³×D₄	1	4	yes	—
1277	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1278	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1279	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1280	C₂⁴	C₂×D₄²	1	2	yes	—
1281	C₂⁴	C₂×D₄²	1	2	yes	—
1282	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1283	C₂⁴	C₂×D₄²	1	4	yes	—
1284	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1285	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1286	C₂⁴	#3585	1	4	yes	complemented
1287	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1288	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1289	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	complemented
1290	C₂×D₄	C₂²×#120	1	4	yes	—
1291	C₂×D₄	C₂²×#120	1	2	yes	—
1292	C₂×D₄	C₂²×#120	1	2	yes	—
1293	C₂×D₄	C₂²×#120	1	4	yes	—
1294	C₂×D₄	C₂²×#120	1	2	yes	—
1295	C₂×D₄	C₂²×#120	1	2	yes	—
1296	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1297	C₂²×C₄	C₂²×#120	1	2	yes	—
1298	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1299	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1300	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1301	C₂²×C₄	C₂×D₄²	1	4	yes	—
1302	C₂²×C₄	C₂×D₄²	1	2	yes	—
1303	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1304	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1305	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1306	C₂²×C₄	C₂×D₄²	1	4	yes	—
1307	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1308	C₂²×C₄	C₂×D₄²	1	4	yes	—
1309	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1310	C₂²×C₄	C₂×D₄²	1	2	yes	—
1311	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1312	C₂²×C₄	#3484	1	1	yes	characteristic
1313	C₂²×C₄	#3484	1	1	yes	characteristic
1314	C₂²×C₄	#3484	1	2	yes	—
1315	C₂²×C₄	#3484	1	2	yes	—
1316	C₂²×C₄	#3484	1	2	yes	—
1317	C₂²×C₄	#3484	1	2	yes	—
1318	C₂²×C₄	#3484	1	2	yes	—
1319	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
1320	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1321	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1322	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1323	D₈	C₂×B(4,𝔽₂)	1	16	yes	complemented
1324	C₂×C₈	C₂×B(4,𝔽₂)	1	4	yes	complemented
1325	C₂×C₈	C₂²×#120	1	2	yes	—
1326	C₂×C₈	C₂²×#120	1	2	yes	—
1327	C₂×C₈	C₂²×#120	1	2	yes	—
1328	C₂×C₈	C₂²×#120	1	2	yes	—
1329	C₂³	D₄×#120	1	2	yes	—
1330	C₂³	D₄×#120	1	1	yes	characteristic
1331	C₂³	D₄×#120	1	1	yes	characteristic
1332	C₂³	C₂²×D₄²	1	2	yes	—
1333	C₂³	C₂²×D₄²	1	1	yes	characteristic
1334	C₂³	C₂×#3585	1	2	yes	—
1335	C₂³	#63091	1	2	yes	—
1336	D₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1337	D₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1338	C₂×C₄	D₄×#120	1	1	yes	characteristic
1339	C₂×C₄	D₄×#120	1	2	yes	—
1340	C₂×C₄	D₄×#120	1	1	yes	characteristic
1341	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1342	C₂×C₄	#60399	1	2	yes	—
1343	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1344	C₂×C₄	C₂×#3484	1	1	yes	characteristic
1345	C₂×C₄	C₂×#3484	1	2	yes	—
1346	C₈	C₂²×B(4,𝔽₂)	1	4	yes	—
1347	C₂²	D₄×B(4,𝔽₂)	1	2	yes	—
1348	C₂²	#6573729	1	2	yes	—
1349	C₂²	C₂×D₄×#120	1	1	yes	characteristic
1350	C₂²	#10576108	1	1	yes	characteristic
1351	C₂²	#10576119	1	1	yes	characteristic
1352	C₂²	#10576147	1	4	yes	—
1353	C₄	D₄×B(4,𝔽₂)	1	2	yes	—
1354	C₄	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1355	C₄	C₂×#60399	1	1	yes	characteristic
1356	C₂	C₂×D₄×B(4,𝔽₂)	1	1	yes	characteristic
1357	C₂	C₂×#6573729	1	1	yes	characteristic
1358	C₂	#72249635	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×D₄×#120
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁴×C₄ ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72339514	C₂	semidirect
2. #72339511	C₂	semidirect
3. #72339510	C₂	semidirect
4. #72339496	C₂	semidirect
5. #72316675	C₂	semidirect
6. #72316674	C₂	semidirect
7. #72311903	C₂	semidirect
8. #72310813	C₂	semidirect
9. #72310788	C₂	semidirect
10. #72310746	C₂	semidirect
11. #72310688	C₂	semidirect
12. #72310617	C₂	semidirect
13. #72310612	C₂	semidirect
14. #72310578	C₂	semidirect
15. #72310577	C₂	semidirect
16. #72310553	C₂	semidirect
17. #72268433	C₂	semidirect
18. #72268371	C₂	semidirect
19. #72268369	C₂	semidirect
20. #72268322	C₂	semidirect
21. #72267593	C₂	semidirect
22. #72249459	C₂	semidirect
23. C₂×#6573477	C₂	semidirect
24. #72238182	C₂	semidirect
25. #72233812	C₂	semidirect
26. #72216616	C₂	semidirect
27. #72214295	C₂	semidirect
28. C₂⁵×D₈	C₂²	semidirect
29. #10586476	C₂²	semidirect
30. #10586472	C₂²	semidirect
31. #10583051	C₂²	semidirect
32. #10583048	C₂²	semidirect
33. #10583026	C₂²	semidirect
34. #10583022	C₂²	semidirect
35. #10577671	C₂²	semidirect
36. #10577542	C₂²	semidirect
37. #10577339	C₂²	semidirect
38. #10577338	C₂²	semidirect
39. #10577303	C₂²	semidirect
40. #10577301	C₂²	semidirect
43. #10574513	C₂²	semidirect
44. #7630939	C₂²	semidirect
45. #7630939	C₂²	semidirect
46. C₂×#36152	C₂²	semidirect
47. C₂×D₄×#120	C₂²	semidirect
48. #6628994	C₂²	semidirect
49. C₂×#32929	C₂²	semidirect
50. #6628842	C₂²	semidirect
51. #6628842	C₂²	semidirect
52. C₂×#32881	C₂²	semidirect
53. C₂×#32878	C₂²	semidirect
54. #6595772	C₂²	semidirect
55. #6595772	C₂²	semidirect
56. D₄×B(4,𝔽₂)	C₂²	semidirect
57. #6573477	C₂²	semidirect
58. #6573477	C₂²	semidirect
59. #6573477	C₂²	semidirect
60. #6573477	C₂²	semidirect
61. #6573471	C₂²	semidirect
62. D₈×#120	C₂²	semidirect
63. #6571611	C₂²	semidirect
64. #6533135	C₂²	semidirect
65. #6533135	C₂²	semidirect
66. #6532600	C₂²	semidirect
67. #6529155	C₂²	semidirect
68. #6516837	C₂²	semidirect
69. #6512843	C₂²	semidirect
70. #6491100	C₂²	semidirect
71. #6491100	C₂²	semidirect
72. #6491100	C₂²	semidirect
73. #6491100	C₂²	semidirect
75. #6454041	C₂²	semidirect
76. #6454041	C₂²	semidirect
77. #6443226	C₂²	semidirect
78. C₂×#25788	C₂²	semidirect
79. #6442759	C₂²	semidirect
80. C₂×#24272	C₂²	semidirect
81. #6437664	C₂²	semidirect
82. #6437664	C₂²	semidirect
83. C₂×#24355	C₂²	semidirect
84. C₂×#24354	C₂²	semidirect
85. #6437521	C₂²	semidirect
86. #6437521	C₂²	semidirect
87. C₂×#23851	C₂²	semidirect
88. C₂×#23848	C₂²	semidirect
89. #6393523	C₂²	semidirect
90. #6393523	C₂²	semidirect
91. #6386107	C₂²	semidirect
92. #6385971	C₂²	semidirect
93. #6379134	C₂²	semidirect
94. C₂×#22436	C₂²	semidirect
95. #6372601	C₂²	semidirect
96. C₂×#21440	C₂²	semidirect
97. #6346767	C₂²	semidirect
98. #6346765	C₂²	semidirect
99. #6346599	C₂²	semidirect
100. #6346599	C₂²	semidirect
101. #348129	C₂²	semidirect
102. #348119	C₂²	semidirect
103. #346551	C₂²	semidirect
104. #346550	C₂²	semidirect
105. #346550	C₂²	semidirect
106. #346519	C₂²	semidirect
107. #346519	C₂²	semidirect
108. #346518	C₂²	semidirect
109. #301924	C₂²	semidirect
110. #301924	C₂²	semidirect
111. #301924	C₂²	semidirect
112. #301921	C₂²	semidirect
113. #301921	C₂²	semidirect
114. #301921	C₂²	semidirect
115. #301893	C₂²	semidirect
116. #301891	C₂²	semidirect
117. #267463	C₂²	semidirect
118. #267463	C₂²	semidirect
119. #267443	C₂²	semidirect
120. #267443	C₂²	semidirect
121. #267419	C₂²	semidirect
122. #267419	C₂²	semidirect
123. #267419	C₂²	semidirect
124. #267411	C₂²	semidirect
125. #267411	C₂²	semidirect
126. #267411	C₂²	semidirect
127. #267391	C₂²	semidirect
128. #267391	C₂²	semidirect
129. #267371	C₂²	semidirect
130. #267371	C₂²	semidirect
131. #265268	C₂²	semidirect
132. #265268	C₂²	semidirect
133. #265268	C₂²	semidirect
134. #265267	C₂²	semidirect
135. #265267	C₂²	semidirect
136. #265267	C₂²	semidirect
137. #265228	C₂²	semidirect
138. #265227	C₂²	semidirect
139. #248553	C₂²	semidirect
140. #248553	C₂²	semidirect
141. #248552	C₂²	semidirect
142. #248552	C₂²	semidirect
143. #248551	C₂²	semidirect
144. #248551	C₂²	semidirect
145. #248551	C₂²	semidirect
146. #248457	C₂²	semidirect
147. #248457	C₂²	semidirect
148. #248457	C₂²	semidirect
149. #248456	C₂²	semidirect
150. #248456	C₂²	semidirect
151. #248455	C₂²	semidirect
152. #248455	C₂²	semidirect
153. #239384	C₂²	semidirect
154. #239383	C₂²	semidirect
155. #239354	C₂²	semidirect
156. #235101	C₂²	semidirect
157. #235099	C₂²	semidirect
158. #235079	C₂²	semidirect
159. #235079	C₂²	semidirect
160. #235056	C₂²	semidirect
161. #235055	C₂²	semidirect
162. #234326	C₂²	semidirect
163. #234325	C₂²	semidirect
164. #234280	C₂²	semidirect
165. #220264	C₂²	semidirect
166. #220264	C₂²	semidirect
167. #220264	C₂²	semidirect
168. #220264	C₂²	semidirect
169. #220246	C₂²	semidirect
170. #220244	C₂²	semidirect
171. #208822	C₂²	semidirect
172. #208806	C₂²	semidirect
173. #205758	C₂²	semidirect
174. #205751	C₂²	semidirect
175. #205750	C₂²	semidirect
176. #201395	C₂²	semidirect
177. #201395	C₂²	semidirect
178. #201386	C₂²	semidirect
179. #201386	C₂²	semidirect
180. #198463	C₂²	semidirect
181. #198460	C₂²	semidirect
182. #198432	C₂²	semidirect
183. #198432	C₂²	semidirect
184. #198404	C₂²	semidirect
185. #198404	C₂²	semidirect
186. #193898	C₂²	semidirect
187. #193892	C₂²	semidirect
188. #192050	C₂²	semidirect
189. #192042	C₂²	semidirect
190. #189531	C₂²	semidirect
191. #188811	C₂²	semidirect
192. #185683	C₂²	semidirect
193. #185683	C₂²	semidirect
194. #185652	C₂²	semidirect
195. #185643	C₂²	semidirect
196. #185365	C₂²	semidirect
197. #185363	C₂²	semidirect
198. #185329	C₂²	semidirect
199. #185329	C₂²	semidirect
200. #184919	C₂²	semidirect
201. #182084	C₂²	semidirect
202. #182076	C₂²	semidirect
204. C₂⁵×D₄	C₂³	semidirect
205. C₂²×#576	D₄	semidirect
206. C₂³×AGL(1,ℤ/8)	D₄	semidirect
209. C₂⁴×D₈	C₂³	semidirect
210. C₂⁴×D₈	C₂³	semidirect
211. C₂⁴×D₈	C₂³	semidirect
212. C₂⁵×C₈	C₂³	semidirect
213. #62983	C₂³	semidirect
214. #62983	C₂³	semidirect
215. D₄×H(5,𝔽₂)	C₂³	semidirect
216. #62894	C₂³	semidirect
217. #62892	C₂³	semidirect
218. #62892	C₂³	semidirect
228. #62254	C₂³	semidirect
229. #62254	C₂³	semidirect
230. #62254	C₂³	semidirect
231. #62253	C₂³	semidirect
232. #62253	C₂³	semidirect
233. #62253	C₂³	semidirect
234. #62244	C₂³	semidirect
235. #62243	C₂³	semidirect
236. #61571	C₂³	semidirect
237. #61571	C₂³	semidirect
238. #61571	C₂³	semidirect
239. #61570	C₂³	semidirect
240. #61570	C₂³	semidirect
241. #61569	C₂³	semidirect
242. #61569	C₂³	semidirect
243. #61561	C₂³	semidirect
244. #61561	C₂³	semidirect
245. #61561	C₂³	semidirect
246. #61560	C₂³	semidirect
247. #61560	C₂³	semidirect
248. #61559	C₂³	semidirect
249. #61559	C₂³	semidirect
250. C₂×#3280	D₄	semidirect
252. C₂×D₄×D₈	D₄	semidirect
254. C₂×#3264	D₄	semidirect
255. C₂×#3264	D₄	semidirect
256. C₂×#3264	D₄	semidirect
257. C₂×#3264	D₄	semidirect
265. C₂×#3155	D₄	semidirect
266. C₂²×#496	D₄	semidirect
267. C₂×#3058	D₄	semidirect
268. C₂²×#469	D₄	semidirect
271. C₂×#3041	D₄	semidirect
272. C₂×#3041	D₄	semidirect
273. C₂²×#463	D₄	semidirect
274. C₂²×#459	D₄	semidirect
275. C₂×#3008	D₄	semidirect
276. C₂×#3008	D₄	semidirect
280. C₂×#3003	C₂³	semidirect
281. C₂²×#449	D₄	semidirect
283. C₂²×#450	C₂³	semidirect
284. C₂²×#447	D₄	semidirect
287. #60310	C₂³	semidirect
288. #60309	C₂³	semidirect
291. C₂×#2948	D₄	semidirect
292. C₂²×#442	D₄	semidirect
297. #36614	C₂³	semidirect
298. C₂×#2848	C₂³	semidirect
302. #36152	C₂³	semidirect
303. #36152	C₂³	semidirect
307. D₄×#120	C₂³	semidirect
311. #35222	C₂³	semidirect
312. C₂×#2435	C₂³	semidirect
317. #34171	C₂³	semidirect
319. C₂×D₄×C₂²⋊C₄	C₂³	semidirect
321. #32931	C₂³	semidirect
322. #32930	C₂³	semidirect
323. #32929	C₂³	semidirect
324. #32929	C₂³	semidirect
325. #32929	C₂³	semidirect
326. #32926	C₂³	semidirect
327. #32926	C₂³	semidirect
328. #32881	C₂³	semidirect
329. #32881	C₂³	semidirect
330. #32881	C₂³	semidirect
331. #32878	C₂³	semidirect
332. #32878	C₂³	semidirect
333. #32878	C₂³	semidirect
334. #29684	C₂³	semidirect
335. #29684	C₂³	semidirect
336. #25947	C₂³	semidirect
337. #25947	C₂³	semidirect
338. #25947	C₂³	semidirect
339. #25788	C₂³	semidirect
340. #25788	C₂³	semidirect
341. #25788	C₂³	semidirect
342. #25781	C₂³	semidirect
343. #25779	C₂³	semidirect
344. #25771	C₂³	semidirect
345. #25771	C₂³	semidirect
346. #25771	C₂³	semidirect
347. #25585	C₂³	semidirect
348. #25585	C₂³	semidirect
349. #25585	C₂³	semidirect
350. #25585	C₂³	semidirect
351. #24355	C₂³	semidirect
352. #24355	C₂³	semidirect
353. #24355	C₂³	semidirect
354. #24354	C₂³	semidirect
355. #24354	C₂³	semidirect
356. #24354	C₂³	semidirect
359. #24350	C₂³	semidirect
360. #24350	C₂³	semidirect
362. #24272	C₂³	semidirect
363. #24272	C₂³	semidirect
364. #24267	C₂³	semidirect
368. #24260	C₂³	semidirect
373. #24140	C₂³	semidirect
380. #23851	C₂³	semidirect
381. #23851	C₂³	semidirect
385. #23848	C₂³	semidirect
387. #22476	C₂³	semidirect
388. #22476	C₂³	semidirect
389. #22476	C₂³	semidirect
390. #22476	C₂³	semidirect
391. C₂²⋊C₄×D₈	C₂³	semidirect
392. #22436	C₂³	semidirect
393. #22436	C₂³	semidirect
394. D₄×#99	C₂³	semidirect
395. D₄×#99	C₂³	semidirect
396. D₄×#99	C₂³	semidirect
397. D₄×#99	C₂³	semidirect
401. #21874	C₂³	semidirect
402. #21825	C₂³	semidirect
406. #21440	C₂³	semidirect
407. #21440	C₂³	semidirect
408. C₈×#120	C₂³	semidirect
411. #21420	C₂³	semidirect
413. #20967	C₂³	semidirect
415. C₂×#1892	C₂³	semidirect
418. #20834	C₂³	semidirect
419. C₂×#1850	C₂³	semidirect
423. #20658	C₂³	semidirect
424. C₂×#1807	C₂³	semidirect
426. #20598	C₂³	semidirect
427. #20598	C₂³	semidirect
428. #20598	C₂³	semidirect
430. C₂×#1786	C₂³	semidirect
431. C₂×#1786	C₂³	semidirect
432. C₂×#1786	C₂³	semidirect
433. #20579	C₂³	semidirect
434. C₂×#1779	C₂³	semidirect
435. #20385	C₂³	semidirect
436. C₂×#1752	C₂³	semidirect
437. #18198	C₂³	semidirect
438. #18198	C₂³	semidirect
439. #18198	C₂³	semidirect
440. #18198	C₂³	semidirect
441. #18196	C₂³	semidirect
442. #18196	C₂³	semidirect
443. #18196	C₂³	semidirect
444. #18194	C₂³	semidirect
445. #18194	C₂³	semidirect
446. #18194	C₂³	semidirect
448. #17592	C₂³	semidirect
449. #17578	C₂³	semidirect
452. #17572	C₂³	semidirect
455. #10566	C₂³	semidirect
456. #10566	C₂³	semidirect
457. #10565	C₂³	semidirect
458. #10565	C₂³	semidirect
459. #10565	C₂³	semidirect
460. #10565	C₂³	semidirect
461. #10564	C₂³	semidirect
462. #10564	C₂³	semidirect
463. #10324	C₂³	semidirect
464. #10324	C₂³	semidirect
465. #10322	C₂³	semidirect
466. #10322	C₂³	semidirect
467. #10322	C₂³	semidirect
468. #10322	C₂³	semidirect
469. #10320	C₂³	semidirect
470. #10320	C₂³	semidirect
471. #9955	C₂³	semidirect
472. #9955	C₂³	semidirect
473. #9955	C₂³	semidirect
474. #9955	C₂³	semidirect
475. #9954	C₂³	semidirect
476. #9954	C₂³	semidirect
477. #9954	C₂³	semidirect
478. #9954	C₂³	semidirect
479. #9947	C₂³	semidirect
480. #9947	C₂³	semidirect
481. #9947	C₂³	semidirect
482. #9947	C₂³	semidirect
483. #9946	C₂³	semidirect
484. #9946	C₂³	semidirect
485. #9946	C₂³	semidirect
486. #9946	C₂³	semidirect
487. #9786	C₂³	semidirect
488. #9786	C₂³	semidirect
489. #9786	C₂³	semidirect
490. #9785	C₂³	semidirect
491. #9785	C₂³	semidirect
492. #9784	C₂³	semidirect
493. #9784	C₂³	semidirect
494. #9781	C₂³	semidirect
495. #9781	C₂³	semidirect
496. #9781	C₂³	semidirect
497. #9472	C₂³	semidirect
498. #9472	C₂³	semidirect
499. #9472	C₂³	semidirect
500. #9472	C₂³	semidirect
501. #9468	C₂³	semidirect
502. #9468	C₂³	semidirect
503. #9468	C₂³	semidirect
504. #9468	C₂³	semidirect
505. #9259	C₂³	semidirect
506. #9259	C₂³	semidirect
507. #9259	C₂³	semidirect
508. #9259	C₂³	semidirect
509. #9259	C₂³	semidirect
510. #9259	C₂³	semidirect
511. #9255	C₂³	semidirect
512. #9255	C₂³	semidirect
513. #9255	C₂³	semidirect
514. #9255	C₂³	semidirect
515. #9255	C₂³	semidirect
516. #9255	C₂³	semidirect
518. #8967	C₂³	semidirect
519. #8965	C₂³	semidirect
520. #8965	C₂³	semidirect
521. #8852	C₂³	semidirect
522. #8852	C₂³	semidirect
523. #8851	C₂³	semidirect
524. #8851	C₂³	semidirect
525. #8610	C₂³	semidirect
526. #8610	C₂³	semidirect
527. #8610	C₂³	semidirect
528. #8608	C₂³	semidirect
529. #8381	C₂³	semidirect
530. #8381	C₂³	semidirect
531. #8381	C₂³	semidirect
532. #8381	C₂³	semidirect
533. #8375	C₂³	semidirect
534. #8375	C₂³	semidirect
535. #8375	C₂³	semidirect
536. #8375	C₂³	semidirect
537. #8352	C₂³	semidirect
538. #8352	C₂³	semidirect
539. #8352	C₂³	semidirect
540. #8352	C₂³	semidirect
541. #8351	C₂³	semidirect
542. #8351	C₂³	semidirect
543. #8351	C₂³	semidirect
544. #8350	C₂³	semidirect
545. #8350	C₂³	semidirect
546. #8350	C₂³	semidirect
547. #8317	C₂³	semidirect
548. #8316	C₂³	semidirect
549. #8161	C₂³	semidirect
550. #8161	C₂³	semidirect
551. #8161	C₂³	semidirect
552. #8160	C₂³	semidirect
553. #7983	C₂³	semidirect
554. #7983	C₂³	semidirect
555. #7982	C₂³	semidirect
556. #7929	C₂³	semidirect
557. #7927	C₂³	semidirect
558. #7925	C₂³	semidirect
559. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
560. C₂²×H(5,𝔽₂)	C₂×D₄	semidirect
561. C₂³×#41	C₂×D₄	semidirect
562. C₂⁴×D₄	C₂×D₄	semidirect
570. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
571. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
572. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
573. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
574. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
575. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
576. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
577. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
578. C₂²×#135	C₂×D₄	semidirect
579. C₂²×#135	C₂×D₄	semidirect
580. C₂³×SD₁₆	C₂×D₄	semidirect
581. C₂³×SD₁₆	C₂×D₄	semidirect
582. C₂³×SD₁₆	C₂×D₄	semidirect
594. C₂³×D₈	C₂×D₄	semidirect
595. C₂³×D₈	C₂×D₄	semidirect
596. C₂³×D₈	C₂×D₄	semidirect
601. C₂²×#131	C₂×D₄	semidirect
602. C₂³×M₁₆	C₂×D₄	semidirect
621. C₂×#546	C₂×D₄	semidirect
622. C₂×#546	C₂×D₄	semidirect
623. C₂×#546	C₂×D₄	semidirect
624. C₂×#546	C₂×D₄	semidirect
629. C₂×D₄²	C₂×D₄	semidirect
630. C₂×D₄²	C₂×D₄	semidirect
631. C₂×D₄²	C₂×D₄	semidirect
632. C₂×D₄²	C₂×D₄	semidirect
638. C₂×#535	C₂×D₄	semidirect
639. C₂×#535	C₂×D₄	semidirect
640. C₂×#535	C₂×D₄	semidirect
641. C₂×#535	C₂×D₄	semidirect
642. C₂²×#127	C₂×D₄	semidirect
643. C₂²×#124	C₂×D₄	semidirect
648. C₂²×#121	C₂×D₄	semidirect
649. C₂²×#121	C₂×D₄	semidirect
653. C₂×#518	C₂×D₄	semidirect
654. C₂×#518	C₂×D₄	semidirect
655. C₂²×C₄×D₄	C₂×D₄	semidirect
656. C₂²×C₄×D₄	C₂×D₄	semidirect
666. C₂×#496	C₂×D₄	semidirect
667. C₂×#496	C₂×D₄	semidirect
668. C₂×#496	C₂×D₄	semidirect
669. C₂×#496	C₂×D₄	semidirect
670. C₂×#495	C₂×D₄	semidirect
671. C₂×#493	C₂×D₄	semidirect
672. C₂×#469	C₂×D₄	semidirect
673. C₂×#469	C₂×D₄	semidirect
674. C₂×#469	C₂×D₄	semidirect
675. C₂×#469	C₂×D₄	semidirect
676. C₂×#467	C₂×D₄	semidirect
678. C₂×#466	C₂×D₄	semidirect
679. C₂×#466	C₂×D₄	semidirect
680. C₂×#466	C₂×D₄	semidirect
682. C₂×#465	C₂×D₄	semidirect
683. C₂×#465	C₂×D₄	semidirect
684. C₂×#465	C₂×D₄	semidirect
688. C₂×#463	C₂×D₄	semidirect
689. C₂×#463	C₂×D₄	semidirect
690. C₂×#463	C₂×D₄	semidirect
691. C₂×#463	C₂×D₄	semidirect
692. C₂×#463	C₂×D₄	semidirect
693. C₂×#463	C₂×D₄	semidirect
694. C₂×#459	C₂×D₄	semidirect
695. C₂×#459	C₂×D₄	semidirect
696. C₂×#459	C₂×D₄	semidirect
697. C₂×#459	C₂×D₄	semidirect
698. C₂×#459	C₂×D₄	semidirect
699. C₂×#459	C₂×D₄	semidirect
701. C₂×#449	C₂×D₄	semidirect
702. C₂×#449	C₂×D₄	semidirect
703. C₂×#449	C₂×D₄	semidirect
704. C₂×#449	C₂×D₄	semidirect
705. C₂×#449	C₂×D₄	semidirect
706. C₂×#449	C₂×D₄	semidirect
707. C₂×#450	C₂×D₄	semidirect
708. C₂×#450	C₂×D₄	semidirect
709. C₂×#450	C₂×D₄	semidirect
716. C₂×#447	C₂×D₄	semidirect
717. C₂×#447	C₂×D₄	semidirect
718. C₂×#447	C₂×D₄	semidirect
719. C₂×#447	C₂×D₄	semidirect
720. C₂×#447	C₂×D₄	semidirect
721. C₂×#447	C₂×D₄	semidirect
722. C₂×#447	C₂×D₄	semidirect
723. C₂×#447	C₂×D₄	semidirect
724. C₂×#447	C₂×D₄	semidirect
735. C₂×#442	C₂×D₄	semidirect
736. C₂×#442	C₂×D₄	semidirect
737. C₂×#442	C₂×D₄	semidirect
738. C₂×#442	C₂×D₄	semidirect
739. C₂×C₄×D₈	C₂×D₄	semidirect
740. C₂×C₄×D₈	C₂×D₄	semidirect
741. C₂×#435	C₂×D₄	semidirect
742. C₂×#435	C₂×D₄	semidirect
743. C₂×#435	C₂×D₄	semidirect
747. C₂×C₈×D₄	C₂×D₄	semidirect
749. C₂×#427	C₂×D₄	semidirect
750. C₂²×#106	C₂×D₄	semidirect
751. C₂×#424	C₂×D₄	semidirect
752. C₂²×C₄⋊C₈	C₂×D₄	semidirect
753. C₂×#418	C₂×D₄	semidirect
754. C₂×#418	C₂×D₄	semidirect
755. C₂×#418	C₂×D₄	semidirect
756. C₂×#418	C₂×D₄	semidirect
757. C₂×#416	C₂×D₄	semidirect
758. C₂×#416	C₂×D₄	semidirect
759. C₂²×#103	C₂×D₄	semidirect
760. C₂²×#102	C₂×D₄	semidirect
761. C₂²×#102	C₂×D₄	semidirect
762. C₂²×#102	C₂×D₄	semidirect
763. C₂²×#102	C₂×D₄	semidirect
764. C₂²×#102	C₂×D₄	semidirect
765. C₂×#408	C₂×D₄	semidirect
768. C₂²×C₂²⋊C₈	C₂×D₄	semidirect
771. C₂×#405	C₂×D₄	semidirect
772. C₂²×#97	C₂×D₄	semidirect
907. C₂²×#41	C₂²×D₄	semidirect
926. C₂³×D₄	C₂²×D₄	semidirect
936. C₂²×Q₁₆	C₂²×D₄	semidirect
942. C₂²×SD₁₆	C₂²×D₄	semidirect
943. C₂²×SD₁₆	C₂²×D₄	semidirect
944. C₂²×SD₁₆	C₂²×D₄	semidirect
945. C₂²×SD₁₆	C₂²×D₄	semidirect
986. C₂²×D₈	C₂²×D₄	semidirect
987. C₂²×D₈	C₂²×D₄	semidirect
988. C₂²×D₈	C₂²×D₄	semidirect
993. C₂²×M₁₆	C₂²×D₄	semidirect
1003. C₂³×C₈	C₂²×D₄	semidirect
1012. C₂×#127	C₂²×D₄	semidirect
1016. C₂×#124	C₂²×D₄	semidirect
1036. C₂×#121	C₂²×D₄	semidirect
1037. C₂×#121	C₂²×D₄	semidirect
1059. C₂×C₄×D₄	C₂²×D₄	semidirect
1060. C₂×C₄×D₄	C₂²×D₄	semidirect
1077. C₂×#107	C₂²×D₄	semidirect
1078. C₂×#107	C₂²×D₄	semidirect
1080. C₂×#106	C₂²×D₄	semidirect
1081. C₂×#106	C₂²×D₄	semidirect
1084. C₂×C₄⋊C₈	C₂²×D₄	semidirect
1085. C₂×C₄⋊C₈	C₂²×D₄	semidirect
1087. C₂×#103	C₂²×D₄	semidirect
1088. C₂×#103	C₂²×D₄	semidirect
1089. C₂×#103	C₂²×D₄	semidirect
1090. C₂×#103	C₂²×D₄	semidirect
1100. C₂×#102	C₂²×D₄	semidirect
1101. C₂×#102	C₂²×D₄	semidirect
1102. C₂×#102	C₂²×D₄	semidirect
1103. C₂×#102	C₂²×D₄	semidirect
1104. C₂×#102	C₂²×D₄	semidirect
1105. C₂×#102	C₂²×D₄	semidirect
1106. C₂×#102	C₂²×D₄	semidirect
1107. C₂×#102	C₂²×D₄	semidirect
1116. C₂×C₂²⋊C₈	C₂²×D₄	semidirect
1117. C₂×C₂²⋊C₈	C₂²×D₄	semidirect
1124. C₂×#97	C₂²×D₄	semidirect
1125. C₂×C₄×C₈	C₂²×D₄	semidirect
1207. C₂×D₈	B(4,𝔽₂)	semidirect
1286. C₂⁴	#3585	semidirect
1289. C₂×D₄	C₂×B(4,𝔽₂)	semidirect
1323. D₈	C₂×B(4,𝔽₂)	semidirect
1324. C₂×C₈	C₂×B(4,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
#72339514	2
#72339511	2
#72339510	2
#72339496	2
#72316675	2
#72316674	2
#72311903	2
#72310813	2
#72310788	2
#72310746	2
#72310688	2
#72310617	2
#72310612	2
#72310578	2
#72310577	2
#72310553	2
#72268433	2
#72268371	2
#72268369	2
#72268322	2
#72267593	2
#72249459	2
C₂×#6573477	2
#72238182	2
#72233812	2
#72216616	2
#72214295	2