Subgroups — #72341880

Order 4096.

Only the 2769 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1267 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72341853	C₂	1	2	yes	maximal, complemented
2	#72341846	C₂	1	2	yes	maximal, complemented
3	#72341836	C₂	1	1	yes	maximal, characteristic, complemented
4	#72341833	C₂²	1	2	yes	complemented
5	#72341809	C₂	1	1	yes	maximal, characteristic
6	#72341772	C₄	1	1	yes	characteristic, complemented
7	#72341765	C₄	1	1	yes	characteristic, complemented
8	#72341760	C₄	1	1	yes	characteristic, complemented
9	#72341753	C₄	1	1	yes	characteristic, complemented
10	#72341746	C₄	1	1	yes	characteristic, complemented
11	#72341740	C₄	1	1	yes	characteristic, complemented
12	#72341674	C₂	1	2	yes	maximal, complemented
13	#72341669	C₂²	1	1	yes	characteristic
14	#72341474	C₂	1	4	yes	maximal, complemented
15	#72341473	C₂²	1	2	yes	complemented
16	#72341471	C₄	1	2	yes	complemented
17	#72341471	C₂²	1	2	yes	—
18	#72341437	C₂	1	4	yes	maximal, complemented
19	#72341435	C₂²	1	2	yes	complemented
20	#72341399	C₂	1	4	yes	maximal, complemented
21	#72341386	C₂²	1	2	yes	complemented
22	C₂×#72241315	C₂	1	2	yes	maximal, complemented
23	#72337559	C₂²	1	8	yes	complemented
24	#72312619	C₄	1	2	yes	complemented
25	#72312619	C₂²	1	2	yes	—
26	#72312480	C₂	1	1	yes	maximal, characteristic, complemented
27	#72312270	C₂²	1	1	yes	characteristic
28	C₂×#10574854	C₄	1	1	yes	characteristic, complemented
29	#72311883	C₂²	1	2	yes	complemented
30	#72311879	C₂²	1	1	yes	characteristic
31	#72311394	C₂	1	2	yes	maximal, complemented
32	#72311370	C₂²	1	2	yes	complemented
33	#72311324	C₂²	1	1	yes	characteristic
34	#72311254	C₄	1	2	yes	complemented
35	#72311254	C₂²	1	2	yes	—
36	#72311237	C₂²	1	2	yes	complemented
37	#72311237	C₂²	1	2	yes	complemented
38	C₂×#72238016	C₂	1	2	yes	maximal, complemented
39	#72311140	C₂²	1	8	yes	complemented
40	C₂×#6437452	C₂²	1	1	yes	characteristic
41	#72311055	C₂²	1	8	yes	complemented
42	C₂×#128079	C₂²	1	4	yes	complemented
43	C₂×#493430	C₂²	1	2	yes	complemented
44	C₂×#146577	C₂²	1	4	yes	complemented
45	C₂×#6385980	C₂²	1	2	yes	complemented
46	#72302921	C₄	1	1	yes	characteristic, complemented
47	#72260657	C₂²	1	8	yes	complemented
48	C₂×#493397	C₂²	1	4	yes	complemented
49	#72256016	C₂²	1	1	yes	characteristic
50	C₂²×#60388	C₂²	1	1	yes	characteristic
51	#72249348	C₂²	1	2	yes	—
52	#72249348	C₂²	1	2	yes	—
53	#72241336	C₂	1	4	yes	maximal, complemented
54	#72241333	C₂²	1	8	yes	complemented
55	#72241315	C₂²	1	8	yes	complemented
56	#72241315	C₂²	1	8	yes	complemented
57	#72241079	C₂²	1	8	yes	complemented
58	C₂×#392135	C₂²	1	4	yes	complemented
59	#72238016	C₂²	1	8	yes	complemented
60	#72238016	C₂²	1	8	yes	complemented
61	#72238014	C₂²	1	8	yes	complemented
62	#72236979	C₂²	1	2	yes	complemented
63	#72236706	C₂²	1	2	yes	complemented
64	#72215857	C₄	1	2	yes	complemented
65	#72215857	C₂²	1	2	yes	—
66	#72213435	C₂²	1	8	yes	complemented
67	C₂×#63103	C₂×C₄	1	1	yes	characteristic, complemented
68	C₂²×H(7,𝔽₂)	C₂³	1	1	yes	characteristic
69	#10586106	C₂×C₄	1	2	yes	complemented
70	#10586106	C₂³	1	2	yes	—
71	#10586097	C₂×C₄	1	2	yes	complemented
72	#10586097	C₂³	1	2	yes	—
73	#10586020	C₂×C₄	1	1	yes	characteristic, complemented
74	#10586020	C₂×C₄	1	1	yes	characteristic, complemented
75	C₂×#62852	D₄	1	1	yes	characteristic
76	C₂×#62852	C₂³	1	1	yes	characteristic
77	C₂×#62852	C₂³	1	1	yes	characteristic
78	C₂×#62812	C₂×C₄	1	1	yes	characteristic
79	C₂²×#3498	C₂³	1	1	yes	characteristic
80	#10585883	C₂×C₄	1	1	yes	characteristic, complemented
81	C₂×#60391	C₂×C₄	1	2	yes	complemented
82	C₂×#60389	C₂×C₄	1	2	yes	complemented
83	C₂×#60390	C₂×C₄	1	2	yes	complemented
84	C₂×#60388	C₂×C₄	1	2	yes	—
85	C₂×#60388	C₂×C₄	1	2	yes	—
86	C₂×#60388	C₂×C₄	1	2	yes	complemented
87	C₂×#60388	D₄	1	4	yes	—
88	C₂×#60388	D₄	1	4	yes	—
89	C₂×#60388	C₂³	1	2	yes	—
90	C₂×#60388	C₂³	1	2	yes	—
91	C₂×#60387	C₂×C₄	1	1	yes	characteristic, complemented
92	C₂×#60387	C₂×C₄	1	1	yes	characteristic, complemented
93	C₂×#60387	C₂×C₄	1	1	yes	characteristic, complemented
94	C₂²×#3018	C₂×C₄	1	1	yes	characteristic
95	C₂²×#3018	C₂×C₄	1	1	yes	characteristic
96	C₂²×#3018	C₂×C₄	1	1	yes	characteristic
97	C₂²×#3021	C₂×C₄	1	1	yes	characteristic
98	C₂²×#3021	C₂×C₄	1	1	yes	characteristic
99	C₂²×#3021	C₂×C₄	1	1	yes	characteristic
100	C₂²×#3019	D₄	1	4	yes	—
101	C₂³×#453	D₄	1	4	yes	—
102	C₂×#60076	C₂×C₄	1	1	yes	characteristic, complemented
103	C₂²×#2888	C₂³	1	1	yes	characteristic
104	#7674604	C₂×C₄	1	1	yes	characteristic
105	#7674604	C₂×C₄	1	1	yes	characteristic
106	#7674604	D₄	1	1	yes	characteristic
107	#7674604	D₄	1	1	yes	characteristic
108	#7674604	D₄	1	1	yes	characteristic
109	#7674604	D₄	1	1	yes	characteristic
110	#7674604	C₂³	1	1	yes	characteristic
111	#7674604	C₂³	1	1	yes	characteristic
112	#7672751	C₂×C₄	1	1	yes	characteristic
113	#7672751	D₄	1	1	yes	characteristic
114	#7672751	D₄	1	1	yes	characteristic
115	#7672751	C₂³	1	1	yes	characteristic
116	#7672684	C₂×C₄	1	1	yes	characteristic
117	#7672684	D₄	1	1	yes	characteristic
118	#7672684	D₄	1	1	yes	characteristic
119	#7672684	C₂³	1	1	yes	characteristic
120	#7630608	C₂×C₄	1	1	yes	characteristic
121	#7630608	D₄	1	1	yes	characteristic
122	#7630606	C₂×C₄	1	1	yes	characteristic
123	#7630606	D₄	1	1	yes	characteristic
124	#7630502	D₄	1	1	yes	characteristic
125	#7630502	C₂³	1	1	yes	characteristic
126	#7628665	D₄	1	1	yes	characteristic
127	C₂×#35274	D₄	1	1	yes	characteristic
128	C₂×#35272	D₄	1	1	yes	characteristic
129	#7625531	C₂×C₄	1	1	yes	characteristic
130	C₄×#3449	D₄	1	1	yes	characteristic
131	C₂²×#2127	D₄	1	4	yes	—
132	C₂²×#2127	D₄	1	4	yes	—
133	#6628972	C₂×C₄	1	2	yes	complemented
134	#6628972	C₂×C₄	1	2	yes	complemented
135	#6628970	C₂×C₄	1	2	yes	complemented
136	#6628970	C₂×C₄	1	2	yes	complemented
137	#6628874	C₂×C₄	1	2	yes	complemented
138	#6628874	C₂×C₄	1	2	yes	complemented
139	#6628873	C₂×C₄	1	2	yes	complemented
140	#6628873	C₂³	1	2	yes	—
141	#6628872	C₂×C₄	1	2	yes	complemented
142	#6628872	C₂×C₄	1	2	yes	complemented
143	#6628872	C₂×C₄	1	2	yes	complemented
144	#6628872	C₂³	1	2	yes	—
145	#6443332	C₂×C₄	1	2	yes	complemented
146	#6443332	C₂×C₄	1	2	yes	complemented
147	#6443331	C₂×C₄	1	2	yes	complemented
148	#6443331	C₂×C₄	1	2	yes	complemented
149	#6442560	C₂×C₄	1	2	yes	complemented
150	#6442560	C₂×C₄	1	2	yes	complemented
151	#6442555	C₂×C₄	1	2	yes	complemented
152	#6442555	C₂×C₄	1	2	yes	complemented
153	#6437971	C₂×C₄	1	2	yes	complemented
154	#6437971	C₂×C₄	1	2	yes	complemented
155	#6437970	C₂×C₄	1	2	yes	complemented
156	#6437970	C₂³	1	2	yes	—
157	#6437969	C₂×C₄	1	2	yes	complemented
158	#6437969	C₂×C₄	1	2	yes	complemented
159	#6437969	C₂×C₄	1	2	yes	complemented
160	#6437969	C₂³	1	2	yes	—
161	#6437455	C₂×C₄	1	2	yes	complemented
162	#6437454	C₂×C₄	1	2	yes	complemented
163	#6437453	C₂×C₄	1	2	yes	complemented
164	#6437452	C₂×C₄	1	2	yes	—
165	#6437452	C₂×C₄	1	2	yes	—
166	#6437452	C₂×C₄	1	2	yes	complemented
167	#6437452	D₄	1	4	yes	—
168	#6437452	D₄	1	4	yes	—
169	#6437452	C₂³	1	2	yes	—
170	#6437452	C₂³	1	2	yes	—
171	C₂×#23915	D₄	1	4	yes	—
172	C₂×#23909	D₄	1	4	yes	—
173	#6385980	C₂³	1	4	yes	complemented
174	#6385980	C₂³	1	4	yes	complemented
175	#6379034	C₂×C₄	1	2	yes	complemented
176	#6379034	C₂³	1	2	yes	—
177	#6379033	C₂×C₄	1	2	yes	complemented
178	#6379033	C₂³	1	2	yes	—
179	#6372704	C₂×C₄	1	2	yes	complemented
180	#6372704	C₂×C₄	1	2	yes	complemented
181	C₄×#3018	C₂×C₄	1	2	yes	complemented
182	C₄×#3018	C₂×C₄	1	2	yes	complemented
183	#6371454	C₂×C₄	1	1	yes	characteristic, complemented
184	C₂×#20956	C₂×C₄	1	1	yes	characteristic
185	C₂×#20952	C₂×C₄	1	1	yes	characteristic
186	#6371287	C₂×C₄	1	1	yes	characteristic, complemented
187	#6370781	C₂×C₄	1	1	yes	characteristic, complemented
188	#6370746	C₂×C₄	1	1	yes	characteristic, complemented
189	#6370746	C₂×C₄	1	1	yes	characteristic, complemented
190	#6370746	C₂×C₄	1	1	yes	characteristic, complemented
191	#6370703	C₂×C₄	1	1	yes	characteristic, complemented
192	C₂×#20592	C₂³	1	1	yes	characteristic
193	C₂×#20585	C₂³	1	4	yes	—
194	C₂×#20585	C₂³	1	4	yes	—
195	#6369826	C₂×C₄	1	1	yes	characteristic, complemented
196	#496205	C₂³	1	4	yes	complemented
197	#496203	C₂³	1	4	yes	complemented
198	#493433	D₄	1	4	yes	—
199	#493433	C₂³	1	4	yes	—
200	#493433	C₂³	1	4	yes	—
201	#493430	D₄	1	4	yes	—
202	#493430	C₂³	1	4	yes	—
203	#493430	C₂³	1	4	yes	—
204	#493430	C₂³	1	4	yes	complemented
205	#493430	C₂³	1	4	yes	complemented
206	#493397	C₂³	1	16	yes	—
207	#392135	C₂³	1	16	yes	—
208	#213862	C₂³	1	4	yes	complemented
209	#213860	C₂³	1	4	yes	complemented
210	#146577	C₂³	1	16	yes	complemented
211	#128079	C₂³	1	16	yes	complemented
212	C₂×2₋¹⁺⁶	C₂²×C₄	1	2	yes	complemented
213	C₂×H(7,𝔽₂)	C₂²×C₄	1	2	yes	—
214	C₂×H(7,𝔽₂)	C₂²×C₄	1	2	yes	complemented
215	C₂×H(7,𝔽₂)	C₂×D₄	1	4	yes	—
216	C₂×H(7,𝔽₂)	C₂⁴	1	2	yes	—
217	C₂²×#585	C₂²⋊C₄	1	1	yes	characteristic, complemented
218	C₂²×#585	C₂²×C₄	1	1	yes	characteristic
219	C₂²×#585	C₂²×C₄	1	1	yes	characteristic
220	C₂²×#585	C₂²×C₄	1	1	yes	characteristic
221	C₂²×#585	C₂²×C₄	1	1	yes	characteristic
222	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
223	C₂³×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
224	C₂³×H(5,𝔽₂)	C₂⁴	1	1	yes	characteristic
225	#62859	C₂²×C₄	1	2	yes	complemented
226	#62852	C₂²×C₄	1	2	yes	—
227	#62852	C₂²×C₄	1	2	yes	complemented
228	#62852	C₂×D₄	1	4	yes	—
229	#62852	C₂⁴	1	2	yes	—
230	#62812	C₂²×C₄	1	2	yes	complemented
231	#62812	C₂²×C₄	1	2	yes	complemented
232	C₂×#3500	C₂²⋊C₄	1	1	yes	characteristic, complemented
233	C₂×#3500	C₂²⋊C₄	1	1	yes	characteristic, complemented
234	C₂×#3500	C₂²⋊C₄	1	1	yes	characteristic, complemented
235	C₂×#3500	C₂²⋊C₄	1	1	yes	characteristic, complemented
236	C₂×#3500	C₂²×C₄	1	1	yes	characteristic
237	C₂×#3500	C₂²×C₄	1	1	yes	characteristic
238	C₂×#3500	C₂²×C₄	1	1	yes	characteristic
239	C₂×#3500	C₂×D₄	1	1	yes	characteristic
240	C₂×#3500	C₂×D₄	1	1	yes	characteristic
241	C₂×#3500	C₂×D₄	1	1	yes	characteristic
242	C₂×#3500	C₂×D₄	1	1	yes	characteristic
243	C₂×#3500	C₂×D₄	1	2	yes	—
244	C₂×#3500	#41	1	2	yes	—
245	C₂×#3500	C₂⁴	1	1	yes	characteristic
246	C₂×#3499	C₂²⋊C₄	1	1	yes	characteristic, complemented
247	C₂×#3499	C₂²×C₄	1	1	yes	characteristic
248	C₂×#3498	C₂²⋊C₄	1	1	yes	characteristic, complemented
249	C₂×#3498	C₂²⋊C₄	1	1	yes	characteristic, complemented
250	C₂×#3498	C₂²⋊C₄	1	1	yes	characteristic, complemented
251	C₂×#3498	C₂²×C₄	1	1	yes	characteristic
252	C₂×#3498	C₂²×C₄	1	1	yes	characteristic
253	C₂×#3498	C₂²×C₄	1	1	yes	characteristic
254	C₂×#3498	C₂²×C₄	1	1	yes	characteristic
255	C₂×#3498	C₂×D₄	1	1	yes	characteristic
256	C₂×#3498	C₂×D₄	1	1	yes	characteristic
257	C₂×#3498	C₂×D₄	1	1	yes	characteristic
258	C₂×#3498	C₂×D₄	1	1	yes	characteristic
259	C₂×#3498	C₂×D₄	1	1	yes	characteristic
260	C₂×#3498	C₂×D₄	1	1	yes	characteristic
261	C₂×#3498	C₂×D₄	1	2	yes	—
262	C₂×#3498	C₂×D₄	1	2	yes	—
263	C₂×#3498	C₂×D₄	1	2	yes	—
264	C₂×#3498	C₂×D₄	1	2	yes	—
265	C₂×#3498	C₂×D₄	1	2	yes	—
266	C₂×#3498	C₂×D₄	1	1	yes	characteristic
267	C₂×#3498	C₂×D₄	1	1	yes	characteristic
268	C₂×#3498	#41	1	2	yes	—
269	C₂×#3498	C₂⁴	1	1	yes	characteristic
270	C₂×#3498	C₂⁴	1	1	yes	characteristic
271	C₂×#3498	C₂⁴	1	1	yes	characteristic
272	C₂×#3487	C₂×D₄	1	4	yes	—
273	C₂×#3449	C₂²⋊C₄	1	1	yes	characteristic, complemented
274	C₂×#3449	C₂²×C₄	1	1	yes	characteristic
275	C₂×#3449	C₂×D₄	1	1	yes	characteristic
276	C₂×#3449	C₂×D₄	1	1	yes	characteristic
277	C₂×#3449	C₂×D₄	1	1	yes	characteristic
278	C₂×#3449	#41	1	2	yes	—
279	C₂×#3449	#41	1	2	yes	—
280	C₂²×#535	C₂²⋊C₄	1	1	yes	characteristic, complemented
281	C₂²×#535	C₂²⋊C₄	1	1	yes	characteristic, complemented
282	C₂²×#535	C₂²⋊C₄	1	1	yes	characteristic, complemented
283	C₂²×#535	C₂²×C₄	1	1	yes	characteristic
284	C₂²×#535	C₂×D₄	1	2	yes	—
285	C₂²×#535	C₂×D₄	1	1	yes	characteristic
286	C₂²×#535	C₂×D₄	1	1	yes	characteristic
287	C₂²×#535	C₂×D₄	1	1	yes	characteristic
288	C₂²×#535	C₂×D₄	1	1	yes	characteristic
289	C₂²×#535	C₂×D₄	1	2	yes	—
290	C₂²×#535	C₂×D₄	1	2	yes	—
291	C₂²×#535	C₂×D₄	1	2	yes	—
292	C₂²×#532	C₂²⋊C₄	1	1	yes	characteristic, complemented
293	C₂²×#532	C₂²×C₄	1	1	yes	characteristic
294	C₂²×#532	C₂×D₄	1	2	yes	—
295	C₂³×#127	C₂×D₄	1	1	yes	characteristic
296	C₂³×#127	C₂×D₄	1	2	yes	—
297	C₄×#585	C₂²×C₄	1	2	yes	complemented
298	C₄×#585	C₂²×C₄	1	2	yes	complemented
299	C₂×#3428	C₂²⋊C₄	1	1	yes	characteristic, complemented
300	C₂×#3428	C₂²×C₄	1	1	yes	characteristic
301	C₂×#3428	C₂²×C₄	1	1	yes	characteristic
302	C₂²×C₄×#41	C₂²⋊C₄	1	1	yes	characteristic, complemented
303	C₂²×C₄×#41	C₂×D₄	1	1	yes	characteristic
304	C₂×#3022	C₂²×C₄	1	2	yes	complemented
305	C₂×#3022	C₂²×C₄	1	2	yes	complemented
306	C₂×#3022	C₂²×C₄	1	2	yes	complemented
307	C₂×#3021	C₂²⋊C₄	1	4	yes	—
308	C₂×#3021	C₂²⋊C₄	1	4	yes	—
309	C₂×#3021	C₂²⋊C₄	1	4	yes	complemented
310	C₂×#3021	C₂²×C₄	1	2	yes	—
311	C₂×#3021	C₂²×C₄	1	2	yes	—
312	C₂×#3021	C₂²×C₄	1	2	yes	—
313	C₂×#3021	C₂²×C₄	1	2	yes	—
314	C₂×#3021	C₂²×C₄	1	2	yes	—
315	C₂×#3021	C₂²×C₄	1	2	yes	—
316	C₂×#3021	C₂²×C₄	1	2	yes	complemented
317	C₂×#3021	C₂²×C₄	1	2	yes	complemented
318	C₂×#3021	C₂²×C₄	1	2	yes	complemented
319	C₂×#3019	C₂²⋊C₄	1	8	yes	—
320	C₂×#3019	C₂²⋊C₄	1	8	yes	—
321	C₂×#3019	C₂×D₄	1	8	yes	—
322	C₂×#3019	C₂×D₄	1	8	yes	—
323	C₂×#3018	C₂²⋊C₄	1	2	yes	—
324	C₂×#3018	C₂²⋊C₄	1	2	yes	—
325	C₂×#3018	C₂²⋊C₄	1	2	yes	—
326	C₂×#3018	C₂²⋊C₄	1	2	yes	—
327	C₂×#3018	C₂²⋊C₄	1	2	yes	complemented
328	C₂×#3018	C₂²⋊C₄	1	2	yes	complemented
329	C₂×#3018	C₂²×C₄	1	2	yes	—
330	C₂×#3018	C₂²×C₄	1	2	yes	—
331	C₂×#3018	C₂²×C₄	1	2	yes	—
332	C₂×#3018	C₂²×C₄	1	2	yes	—
333	C₂×#3018	C₂²×C₄	1	2	yes	—
334	C₂×#3018	C₂²×C₄	1	2	yes	—
335	C₂²×#456	C₂²⋊C₄	1	2	yes	complemented
336	C₂²×#454	C₂²⋊C₄	1	4	yes	complemented
337	C₂²×#454	C₂²⋊C₄	1	2	yes	complemented
338	C₂²×#455	C₂²⋊C₄	1	2	yes	—
339	C₂²×#455	C₂²⋊C₄	1	2	yes	—
340	C₂²×#453	C₂²⋊C₄	1	2	yes	—
341	C₂²×#453	C₂²⋊C₄	1	2	yes	—
342	C₂²×#453	C₂²⋊C₄	1	4	yes	—
343	C₂²×#453	C₂²⋊C₄	1	4	yes	—
344	C₂²×#453	C₂²⋊C₄	1	8	yes	—
345	C₂²×#453	C₂²⋊C₄	1	8	yes	—
346	C₂²×#453	C₂×D₄	1	8	yes	—
347	C₂²×#453	C₂×D₄	1	8	yes	—
348	C₂×#2889	C₂²×C₄	1	2	yes	complemented
349	C₂×#2888	C₂²×C₄	1	2	yes	—
350	C₂×#2888	C₂²×C₄	1	2	yes	complemented
351	C₂×#2888	C₂×D₄	1	4	yes	—
352	C₂×#2888	C₂⁴	1	2	yes	—
353	C₂²×#413	C₂²×C₄	1	1	yes	characteristic
354	C₂²×#413	C₂²×C₄	1	1	yes	characteristic
355	C₂²×#413	C₂²×C₄	1	1	yes	characteristic
356	C₂²×#413	C₂²×C₄	1	1	yes	characteristic
357	C₂³×#100	C₂×D₄	1	4	yes	—
358	C₂³×#99	C₂×D₄	1	8	yes	—
359	C₂×#2867	C₂²⋊C₄	1	1	yes	characteristic, complemented
360	C₂×#2867	C₂×D₄	1	1	yes	characteristic
361	C₂×#2858	C₂²⋊C₄	1	1	yes	characteristic, complemented
362	C₂×#2858	C₂×D₄	1	1	yes	characteristic
363	#35676	C₂²⋊C₄	1	1	yes	characteristic, complemented
364	#35676	C₂²⋊C₄	1	1	yes	characteristic, complemented
365	#35676	C₂²⋊C₄	1	1	yes	characteristic, complemented
366	#35676	C₂²⋊C₄	1	1	yes	characteristic, complemented
367	#35676	C₂²×C₄	1	1	yes	characteristic
368	#35676	C₂²×C₄	1	1	yes	characteristic
369	#35676	C₂×D₄	1	1	yes	characteristic
370	#35676	C₂×D₄	1	1	yes	characteristic
371	#35616	C₂²⋊C₄	1	1	yes	characteristic, complemented
372	#35616	C₂²⋊C₄	1	1	yes	characteristic, complemented
373	#35616	C₂²×C₄	1	1	yes	characteristic
374	#35616	C₂×D₄	1	1	yes	characteristic
375	#35616	C₂×D₄	1	1	yes	characteristic
376	#35616	C₂×D₄	1	1	yes	characteristic
377	#35616	C₂×D₄	1	1	yes	characteristic
378	#35616	C₂⁴	1	1	yes	characteristic
379	#35527	C₂²⋊C₄	1	1	yes	characteristic, complemented
380	#35527	C₂²⋊C₄	1	1	yes	characteristic, complemented
381	#35527	C₂²⋊C₄	1	1	yes	characteristic, complemented
382	#35527	C₂²⋊C₄	1	1	yes	characteristic, complemented
383	#35527	C₂²⋊C₄	1	1	yes	characteristic, complemented
384	#35527	C₂²⋊C₄	1	1	yes	characteristic, complemented
385	#35527	C₂²×C₄	1	1	yes	characteristic
386	#35527	C₂²×C₄	1	1	yes	characteristic
387	#35527	C₂²×C₄	1	1	yes	characteristic
388	#35527	C₂×D₄	1	1	yes	characteristic
389	#35527	C₂×D₄	1	1	yes	characteristic
390	#35527	C₂×D₄	1	1	yes	characteristic
391	#35527	C₂×D₄	1	1	yes	characteristic
392	#35527	C₂×D₄	1	1	yes	characteristic
393	#35527	C₂×D₄	1	1	yes	characteristic
394	#35527	C₂⁴	1	1	yes	characteristic
395	#35327	C₂²⋊C₄	1	1	yes	characteristic, complemented
396	#35327	C₂²⋊C₄	1	1	yes	characteristic, complemented
397	#35327	C₂²⋊C₄	1	1	yes	characteristic, complemented
398	#35327	C₂²⋊C₄	1	1	yes	characteristic, complemented
399	#35327	C₂²⋊C₄	1	1	yes	characteristic, complemented
400	#35327	C₂²⋊C₄	1	1	yes	characteristic, complemented
401	#35327	C₂²×C₄	1	1	yes	characteristic
402	#35327	C₂²×C₄	1	1	yes	characteristic
403	#35327	C₂×D₄	1	1	yes	characteristic
404	#35327	C₂×D₄	1	1	yes	characteristic
405	#35327	C₂×D₄	1	1	yes	characteristic
406	#35327	C₂×D₄	1	1	yes	characteristic
407	#35316	C₂²⋊C₄	1	1	yes	characteristic, complemented
408	#35316	C₂×D₄	1	1	yes	characteristic
409	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
410	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
411	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
412	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
413	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
414	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
415	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
416	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
417	#35272	C₂²⋊C₄	1	1	yes	characteristic, complemented
418	#35272	C₂²×C₄	1	1	yes	characteristic
419	#35272	C₂²×C₄	1	1	yes	characteristic
420	#35272	C₂×D₄	1	1	yes	characteristic
421	#35272	C₂×D₄	1	1	yes	characteristic
422	#35272	C₂×D₄	1	1	yes	characteristic
423	#35272	C₂×D₄	1	1	yes	characteristic
424	#35272	C₂×D₄	1	1	yes	characteristic
425	#35272	C₂×D₄	1	1	yes	characteristic
426	#35272	C₂×D₄	1	1	yes	characteristic
427	C₂×#2657	C₂²⋊C₄	1	1	yes	characteristic, complemented
428	C₂×#2657	C₂²⋊C₄	1	1	yes	characteristic, complemented
429	C₂×#2657	C₂×D₄	1	1	yes	characteristic
430	C₂×#2657	C₂×D₄	1	1	yes	characteristic
431	#34070	C₂²⋊C₄	1	1	yes	characteristic, complemented
432	#34070	C₂²⋊C₄	1	1	yes	characteristic, complemented
433	#34070	C₂²⋊C₄	1	1	yes	characteristic, complemented
434	#34070	C₂²⋊C₄	1	1	yes	characteristic, complemented
435	#34070	C₂²×C₄	1	1	yes	characteristic
436	#34070	C₂²×C₄	1	1	yes	characteristic
437	#34070	C₂×D₄	1	1	yes	characteristic
438	#34070	C₂×D₄	1	1	yes	characteristic
439	#34052	C₂²⋊C₄	1	1	yes	characteristic, complemented
440	#34044	C₂²⋊C₄	1	1	yes	characteristic, complemented
441	#34044	C₂²⋊C₄	1	1	yes	characteristic, complemented
442	#34044	C₂²⋊C₄	1	1	yes	characteristic, complemented
443	#34044	C₂²⋊C₄	1	1	yes	characteristic, complemented
444	#34044	C₂²×C₄	1	1	yes	characteristic
445	#34044	C₂×D₄	1	1	yes	characteristic
446	C₂×#2309	C₂²⋊C₄	1	1	yes	characteristic, complemented
447	C₂×#2309	C₂×D₄	1	1	yes	characteristic
448	C₄×#532	C₂²⋊C₄	1	1	yes	characteristic, complemented
449	C₄×#532	C₂²⋊C₄	1	1	yes	characteristic, complemented
450	C₄×#532	C₂²⋊C₄	1	1	yes	characteristic, complemented
451	C₄×#532	C₂²⋊C₄	1	1	yes	characteristic, complemented
452	C₄×#532	C₂²×C₄	1	1	yes	characteristic
453	C₄×#532	C₂²×C₄	1	1	yes	characteristic
454	C₄×#532	C₂×D₄	1	1	yes	characteristic
455	C₄×#532	C₂×D₄	1	1	yes	characteristic
456	C₂×#2285	C₂²⋊C₄	1	1	yes	characteristic, complemented
457	C₂×C₄×#117	C₂²⋊C₄	1	1	yes	characteristic, complemented
458	C₂×#2127	C₂×D₄	1	8	yes	—
459	C₂×#2127	C₂×D₄	1	8	yes	—
460	C₂²×#354	C₂×D₄	1	8	yes	—
461	C₂²×#353	C₂×D₄	1	8	yes	—
462	#23915	C₂²⋊C₄	1	8	yes	complemented
463	#23915	C₂²⋊C₄	1	8	yes	complemented
464	#23915	C₂×D₄	1	8	yes	—
465	#23915	C₂×D₄	1	8	yes	—
466	#23909	C₂²⋊C₄	1	8	yes	complemented
467	#23909	C₂²⋊C₄	1	8	yes	complemented
468	#23909	C₂×D₄	1	8	yes	—
469	#23909	C₂×D₄	1	8	yes	—
470	#20956	C₂²⋊C₄	1	4	yes	complemented
471	#20956	C₂²×C₄	1	2	yes	—
472	#20956	C₂²×C₄	1	2	yes	—
473	#20956	C₂²×C₄	1	2	yes	complemented
474	#20955	C₂²×C₄	1	2	yes	complemented
475	#20952	C₂²⋊C₄	1	2	yes	complemented
476	#20952	C₂²⋊C₄	1	2	yes	complemented
477	#20952	C₂²×C₄	1	2	yes	—
478	#20952	C₂²×C₄	1	2	yes	—
479	C₂×#1888	C₂²⋊C₄	1	4	yes	complemented
480	C₂×#1888	C₂²⋊C₄	1	2	yes	complemented
481	C₂×#1886	C₂²⋊C₄	1	2	yes	complemented
482	#20855	C₂²×C₄	1	2	yes	complemented
483	#20855	C₂²×C₄	1	2	yes	complemented
484	#20637	C₂²×C₄	1	2	yes	complemented
485	#20637	C₂²×C₄	1	2	yes	complemented
486	#20615	C₂²×C₄	1	2	yes	complemented
487	#20615	C₂²×C₄	1	2	yes	complemented
488	#20615	C₂²×C₄	1	2	yes	complemented
489	#20615	C₂²×C₄	1	2	yes	complemented
490	#20615	C₂²×C₄	1	2	yes	complemented
491	#20615	C₂²×C₄	1	2	yes	complemented
492	#20593	C₂²×C₄	1	2	yes	complemented
493	#20592	C₂²×C₄	1	2	yes	—
494	#20592	C₂²×C₄	1	2	yes	complemented
495	#20592	C₂×D₄	1	4	yes	—
496	#20592	C₂⁴	1	2	yes	—
497	C₂×#1785	C₂×D₄	1	4	yes	—
498	#20585	C₂×D₄	1	8	yes	—
499	#20585	C₂⁴	1	8	yes	—
500	#20585	C₂⁴	1	8	yes	—
501	C₄×#413	C₂²×C₄	1	2	yes	complemented
502	C₄×#413	C₂²×C₄	1	2	yes	complemented
503	C₂×#585	C₂×C₂²⋊C₄	1	2	yes	—
504	C₂×#585	C₂×C₂²⋊C₄	1	2	yes	—
505	C₂×#585	C₂×C₂²⋊C₄	1	2	yes	—
506	C₂×#585	C₂³×C₄	1	2	yes	—
507	C₂×#585	C₂³×C₄	1	2	yes	—
508	C₂×#585	C₂³×C₄	1	2	yes	—
509	C₂²×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	1	yes	characteristic
510	C₂²×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	2	yes	—
511	C₂²×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
512	C₂²×2₋¹⁺⁴	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
513	C₂²×2₋¹⁺⁴	C₄×D₄	1	2	yes	—
514	C₂²×2₋¹⁺⁴	C₂³×C₄	1	1	yes	characteristic
515	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	1	yes	characteristic
516	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	1	yes	characteristic
517	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	1	yes	characteristic
518	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
519	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	8	yes	—
520	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
521	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
522	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
523	C₂²×H(5,𝔽₂)	C₄×D₄	1	2	yes	—
524	C₂²×H(5,𝔽₂)	#120	1	2	yes	—
525	C₂²×H(5,𝔽₂)	#120	1	2	yes	—
526	C₂²×H(5,𝔽₂)	C₂³×C₄	1	1	yes	characteristic
527	C₂²×H(5,𝔽₂)	C₂³×C₄	1	1	yes	characteristic
528	C₂²×H(5,𝔽₂)	C₂²×D₄	1	1	yes	characteristic
529	C₂²×H(5,𝔽₂)	C₂²×D₄	1	1	yes	characteristic
530	C₂²×H(5,𝔽₂)	C₂²×D₄	1	1	yes	characteristic
531	C₂²×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
532	C₂²×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
533	C₂²×H(5,𝔽₂)	C₂²×D₄	1	1	yes	characteristic
534	C₂²×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
535	C₂²×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
536	C₂²×H(5,𝔽₂)	C₂×#41	1	2	yes	—
537	C₂²×H(5,𝔽₂)	H(5,𝔽₂)	1	4	yes	—
538	C₂²×H(5,𝔽₂)	C₂⁵	1	1	yes	characteristic
539	C₂³×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
540	C₂³×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
541	C₂³×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
542	C₂³×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
543	C₂³×#41	C₄×D₄	1	2	yes	—
544	C₂³×#41	C₄×D₄	1	2	yes	—
545	C₂³×#41	#120	1	2	yes	—
546	C₂³×#41	C₂³×C₄	1	1	yes	characteristic
547	C₂³×#41	C₂²×D₄	1	1	yes	characteristic
548	C₂³×#41	C₂²×D₄	1	2	yes	—
549	C₂³×#41	C₂×#41	1	2	yes	—
550	C₂⁴×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
551	C₂⁴×D₄	#120	1	2	yes	—
552	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
553	C₂⁴×D₄	C₂²×D₄	1	2	yes	—
554	C₂⁴×D₄	C₂²×D₄	1	2	yes	—
555	C₂⁴×D₄	H(5,𝔽₂)	1	4	yes	—
556	#3487	C₂×C₂²⋊C₄	1	8	yes	—
557	#3487	C₂²×D₄	1	8	yes	—
558	C₂×#536	C₂×C₂²⋊C₄	1	1	yes	characteristic
559	C₂×#536	C₂×C₂²⋊C₄	1	1	yes	characteristic
560	C₂×#536	C₂×C₂²⋊C₄	1	1	yes	characteristic
561	C₂×#536	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
562	C₂×#536	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
563	C₂×#536	C₄×D₄	1	2	yes	—
564	C₂×#536	#120	1	1	yes	characteristic
565	C₂×#536	#121	1	2	yes	—
566	C₂×#536	#123	1	1	yes	characteristic
567	C₂×#536	#123	1	1	yes	characteristic
568	C₂×#536	#123	1	2	yes	—
569	C₂×#536	#123	1	2	yes	—
570	C₂×#536	#123	1	1	yes	characteristic
571	C₂×#536	C₂³×C₄	1	1	yes	characteristic
572	C₂×#536	C₂²×D₄	1	1	yes	characteristic
573	C₂×#536	C₂²×D₄	1	1	yes	characteristic
574	C₂×#536	C₂×#41	1	2	yes	—
575	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
576	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
577	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
578	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
579	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
580	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
581	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
582	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
583	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic
584	C₂×#535	C₂×C₂²⋊C₄	1	2	yes	—
585	C₂×#535	C₂×C₂²⋊C₄	1	2	yes	—
586	C₂×#535	C₂×C₂²⋊C₄	1	2	yes	—
587	C₂×#535	C₂×C₂²⋊C₄	1	2	yes	—
588	C₂×#535	C₂×C₂²⋊C₄	1	2	yes	—
589	C₂×#535	C₂×C₂²⋊C₄	1	2	yes	—
590	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
591	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
592	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
593	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
594	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
595	C₂×#535	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
596	C₂×#535	C₄×D₄	1	2	yes	—
597	C₂×#535	C₄×D₄	1	2	yes	—
598	C₂×#535	C₄×D₄	1	2	yes	—
599	C₂×#535	#120	1	2	yes	—
600	C₂×#535	#120	1	2	yes	—
601	C₂×#535	#120	1	2	yes	—
602	C₂×#535	#120	1	2	yes	—
603	C₂×#535	#120	1	2	yes	—
604	C₂×#535	#120	1	2	yes	—
605	C₂×#535	#120	1	2	yes	—
606	C₂×#535	#120	1	2	yes	—
607	C₂×#535	#120	1	2	yes	—
608	C₂×#535	#120	1	2	yes	—
609	C₂×#535	#120	1	1	yes	characteristic
610	C₂×#535	#120	1	1	yes	characteristic
611	C₂×#535	#120	1	2	yes	—
612	C₂×#535	#120	1	2	yes	—
613	C₂×#535	#120	1	2	yes	—
614	C₂×#535	#120	1	1	yes	characteristic
615	C₂×#535	#121	1	2	yes	—
616	C₂×#535	#121	1	2	yes	—
617	C₂×#535	#121	1	2	yes	—
618	C₂×#535	#121	1	2	yes	—
619	C₂×#535	#121	1	2	yes	—
620	C₂×#535	#121	1	2	yes	—
621	C₂×#535	#121	1	2	yes	—
622	C₂×#535	#121	1	2	yes	—
623	C₂×#535	#121	1	2	yes	—
624	C₂×#535	#123	1	2	yes	—
625	C₂×#535	#123	1	1	yes	characteristic
626	C₂×#535	C₂³×C₄	1	1	yes	characteristic
627	C₂×#535	C₂³×C₄	1	1	yes	characteristic
628	C₂×#535	C₂³×C₄	1	1	yes	characteristic
629	C₂×#535	C₂²×D₄	1	1	yes	characteristic
630	C₂×#535	C₂²×D₄	1	1	yes	characteristic
631	C₂×#535	C₂²×D₄	1	1	yes	characteristic
632	C₂×#535	C₂²×D₄	1	1	yes	characteristic
633	C₂×#535	C₂²×D₄	1	1	yes	characteristic
634	C₂×#535	C₂²×D₄	1	1	yes	characteristic
635	C₂×#535	C₂²×D₄	1	2	yes	—
636	C₂×#535	C₂²×D₄	1	2	yes	—
637	C₂×#535	C₂²×D₄	1	2	yes	—
638	C₂×#535	C₂²×D₄	1	2	yes	—
639	C₂×#535	C₂²×D₄	1	2	yes	—
640	C₂×#535	C₂²×D₄	1	2	yes	—
641	C₂×#535	C₂×#41	1	2	yes	—
642	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
643	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
644	C₂×#532	C₂×C₂²⋊C₄	1	2	yes	—
645	C₂×#532	C₂×C₂²⋊C₄	1	2	yes	—
646	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
647	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
648	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
649	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
650	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
651	C₂×#532	C₂×C₂²⋊C₄	1	1	yes	characteristic
652	C₂×#532	C₄×D₄	1	2	yes	—
653	C₂×#532	C₄×D₄	1	2	yes	—
654	C₂×#532	#120	1	2	yes	—
655	C₂×#532	#120	1	2	yes	—
656	C₂×#532	#120	1	2	yes	—
657	C₂×#532	#120	1	2	yes	—
658	C₂×#532	#120	1	2	yes	—
659	C₂×#532	#121	1	2	yes	—
660	C₂×#532	#121	1	2	yes	—
661	C₂×#532	#123	1	2	yes	—
662	C₂×#532	#123	1	2	yes	—
663	C₂×#532	#123	1	2	yes	—
664	C₂×#532	C₂³×C₄	1	1	yes	characteristic
665	C₂×#532	C₂³×C₄	1	1	yes	characteristic
666	C₂×#532	C₂²×D₄	1	2	yes	—
667	C₂×#532	C₂²×D₄	1	2	yes	—
668	C₂×#532	C₂²×D₄	1	1	yes	characteristic
669	C₂×#532	C₂²×D₄	1	1	yes	characteristic
670	C₂×#532	C₂×#41	1	2	yes	—
671	C₂×#532	C₂×#41	1	2	yes	—
672	C₂²×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
673	C₂²×C₄⋊Q₈	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
674	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
675	C₂²×#127	C₂×C₂²⋊C₄	1	2	yes	—
676	C₂²×#127	C₂×C₂²⋊C₄	1	2	yes	—
677	C₂²×#127	C₂×C₂²⋊C₄	1	2	yes	—
678	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
679	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
680	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
681	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic
682	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
683	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
684	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
685	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
686	C₂²×#127	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
687	C₂²×#127	C₄×D₄	1	2	yes	—
688	C₂²×#127	#120	1	2	yes	—
689	C₂²×#127	#120	1	2	yes	—
690	C₂²×#127	#120	1	2	yes	—
691	C₂²×#127	#120	1	2	yes	—
692	C₂²×#127	#120	1	2	yes	—
693	C₂²×#127	#120	1	2	yes	—
694	C₂²×#127	#120	1	2	yes	—
695	C₂²×#127	#120	1	2	yes	—
696	C₂²×#127	#120	1	2	yes	—
697	C₂²×#127	#120	1	2	yes	—
698	C₂²×#127	#121	1	2	yes	—
699	C₂²×#127	#121	1	2	yes	—
700	C₂²×#127	C₂²×D₄	1	2	yes	—
701	C₂²×#127	C₂²×D₄	1	2	yes	—
702	C₂²×#127	C₂²×D₄	1	1	yes	characteristic
703	C₂²×#127	C₂²×D₄	1	1	yes	characteristic
704	C₂²×#127	C₂²×D₄	1	2	yes	—
705	C₂²×#127	C₂²×D₄	1	1	yes	characteristic
706	C₂²×#127	C₂²×D₄	1	1	yes	characteristic
707	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
708	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
709	C₂²×#124	C₂×C₂²⋊C₄	1	2	yes	—
710	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
711	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic
712	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
713	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
714	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
715	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
716	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
717	C₂²×#124	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
718	C₂²×#124	C₄×D₄	1	2	yes	—
719	C₂²×#124	#120	1	2	yes	—
720	C₂²×#124	#120	1	2	yes	—
721	C₂²×#124	#121	1	2	yes	—
722	C₂²×#124	#121	1	2	yes	—
723	C₂²×#124	C₂²×D₄	1	2	yes	—
724	C₂²×#124	C₂²×D₄	1	1	yes	characteristic
725	C₂²×#124	C₂²×D₄	1	1	yes	characteristic
726	#3428	C₂×C₂²⋊C₄	1	2	yes	—
727	#3428	C₂³×C₄	1	2	yes	—
728	C₂×#519	C₂×C₂²⋊C₄	1	2	yes	—
729	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
730	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
731	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
732	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
733	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
734	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
735	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
736	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
737	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
738	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
739	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
740	C₂×C₄×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
741	C₂×C₄×#41	C₄×D₄	1	2	yes	—
742	C₂×C₄×#41	C₄×D₄	1	2	yes	—
743	C₂×C₄×#41	#120	1	2	yes	—
744	C₂×C₄×#41	#120	1	2	yes	—
745	C₂×C₄×#41	C₂³×C₄	1	1	yes	characteristic
746	C₂×C₄×#41	C₂³×C₄	1	1	yes	characteristic
747	C₂×C₄×#41	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×#41	C₂²×D₄	1	1	yes	characteristic
749	C₂²×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
750	C₂²×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
751	C₂²×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
752	C₂²×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
753	C₂²×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
754	C₂²×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
755	C₂²×#117	C₄×D₄	1	2	yes	—
756	C₂²×#117	C₄×D₄	1	2	yes	—
757	C₂²×#117	#120	1	2	yes	—
758	C₂³×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
759	C₂³×C₄²	#120	1	2	yes	—
760	C₂×#456	C₂×C₂²⋊C₄	1	4	yes	complemented
761	C₂×#456	C₂×C₂²⋊C₄	1	4	yes	complemented
762	C₂×#454	C₂×C₂²⋊C₄	1	8	yes	complemented
763	C₂×#454	C₂×C₂²⋊C₄	1	8	yes	complemented
764	C₂×#454	C₂×C₂²⋊C₄	1	4	yes	complemented
765	C₂×#454	C₂×C₂²⋊C₄	1	4	yes	complemented
766	C₂×#455	C₂×C₂²⋊C₄	1	4	yes	—
767	C₂×#455	C₂×C₂²⋊C₄	1	4	yes	—
768	C₂×#455	C₂×C₂²⋊C₄	1	4	yes	—
769	C₂×#455	C₂×C₂²⋊C₄	1	4	yes	—
770	C₂×#453	#99	1	16	yes	complemented
771	C₂×#453	C₂×C₂²⋊C₄	1	4	yes	—
772	C₂×#453	C₂×C₂²⋊C₄	1	4	yes	—
773	C₂×#453	C₂×C₂²⋊C₄	1	8	yes	—
774	C₂×#453	C₂×C₂²⋊C₄	1	8	yes	—
775	C₂×#453	C₂×C₂²⋊C₄	1	8	yes	—
776	C₂×#453	C₂×C₂²⋊C₄	1	8	yes	—
777	C₂×#453	C₂×C₂²⋊C₄	1	4	yes	—
778	C₂×#453	C₂×C₂²⋊C₄	1	4	yes	—
779	C₂×#413	C₂×C₂²⋊C₄	1	2	yes	—
780	C₂×#413	C₂×C₂²⋊C₄	1	2	yes	—
781	C₂×#413	C₂×C₂²⋊C₄	1	2	yes	—
782	C₂×#413	C₂×C₂²⋊C₄	1	2	yes	—
783	C₂×#413	C₂³×C₄	1	2	yes	—
784	C₂×#413	C₂³×C₄	1	2	yes	—
785	C₂×#413	C₂³×C₄	1	2	yes	—
786	C₂×#413	C₂³×C₄	1	2	yes	—
787	C₂²×#101	C₂×C₂²⋊C₄	1	2	yes	—
788	C₂²×#101	C₂×C₂²⋊C₄	1	2	yes	—
789	C₂²×#100	C₂×C₂²⋊C₄	1	2	yes	—
790	C₂²×#100	C₂×C₂²⋊C₄	1	8	yes	—
791	C₂²×#100	C₂×C₂²⋊C₄	1	2	yes	—
792	C₂²×#100	C₂²×D₄	1	8	yes	—
793	C₂²×#99	C₂²×D₄	1	16	yes	—
794	#2310	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
795	#2310	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
796	#2310	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
797	#2310	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
798	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic
799	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic
800	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
801	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
802	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
803	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
804	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
805	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
806	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
807	#2309	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
808	#2309	C₂²×D₄	1	1	yes	characteristic
809	#2309	C₂²×D₄	1	1	yes	characteristic
810	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic
811	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic
812	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic
813	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic
814	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
815	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
816	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
817	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
818	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
819	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
820	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
821	#2297	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
822	#2297	C₂³×C₄	1	1	yes	characteristic
823	#2297	C₂³×C₄	1	1	yes	characteristic
824	#2297	C₂²×D₄	1	1	yes	characteristic
825	#2297	C₂²×D₄	1	1	yes	characteristic
826	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
827	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
828	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
829	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
830	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
831	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
832	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
833	#2285	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
834	C₂×#376	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
835	C₂×#376	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
836	C₂×C₄³	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
837	C₂×C₄³	C₂×C₂²⋊C₄	1	1	yes	characteristic, complemented
838	#1888	C₂×C₂²⋊C₄	1	8	yes	complemented
839	#1888	C₂×C₂²⋊C₄	1	8	yes	complemented
840	#1888	C₂×C₂²⋊C₄	1	4	yes	complemented
841	#1888	C₂×C₂²⋊C₄	1	4	yes	complemented
842	#1886	C₂×C₂²⋊C₄	1	4	yes	complemented
843	#1886	C₂×C₂²⋊C₄	1	4	yes	complemented
844	#1785	C₂×C₂²⋊C₄	1	8	yes	—
845	#1785	C₂²×D₄	1	8	yes	—
846	C₂⁶	#534	1	2	yes	—
847	C₂⁶	D₄²	1	4	yes	—
848	C₂×2₋¹⁺⁴	C₂²×C₂²⋊C₄	1	4	yes	—
849	C₂×H(5,𝔽₂)	C₂×#99	1	8	yes	—
850	C₂×H(5,𝔽₂)	C₂²×C₂²⋊C₄	1	4	yes	—
851	C₂×H(5,𝔽₂)	C₂²×C₂²⋊C₄	1	4	yes	—
852	C₂²×#41	#379	1	1	yes	characteristic
853	C₂²×#41	#379	1	1	yes	characteristic
854	C₂²×#41	#379	1	2	yes	—
855	C₂²×#41	#379	1	2	yes	—
856	C₂²×#41	#386	1	2	yes	—
857	C₂²×#41	#386	1	2	yes	—
858	C₂²×#41	#386	1	2	yes	—
859	C₂²×#41	#386	1	2	yes	—
860	C₂²×#41	#386	1	1	yes	characteristic
861	C₂²×#41	#386	1	1	yes	characteristic
862	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
863	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
864	C₂²×#41	C₂²×C₂²⋊C₄	1	2	yes	—
865	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
866	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
867	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
868	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
869	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
870	C₂²×#41	C₂²×C₂²⋊C₄	1	1	yes	characteristic
871	C₂²×#41	C₂×C₄×D₄	1	2	yes	—
872	C₂²×#41	C₂×C₄×D₄	1	2	yes	—
873	C₂²×#41	C₂×C₄×D₄	1	2	yes	—
874	C₂²×#41	C₂×C₄×D₄	1	2	yes	—
875	C₂²×#41	#518	1	2	yes	—
876	C₂²×#41	C₂×#120	1	1	yes	characteristic
877	C₂²×#41	C₂×#120	1	2	yes	—
878	C₂²×#41	C₂×#120	1	2	yes	—
879	C₂²×#41	C₂×#120	1	2	yes	—
880	C₂²×#41	C₂×#120	1	2	yes	—
881	C₂²×#41	C₂×#120	1	2	yes	—
882	C₂²×#41	C₂×#121	1	2	yes	—
883	C₂²×#41	C₂×#123	1	1	yes	characteristic
884	C₂²×#41	C₂×#123	1	2	yes	—
885	C₂²×#41	#534	1	2	yes	—
886	C₂²×#41	D₄²	1	4	yes	—
887	C₂²×#41	#546	1	4	yes	—
888	C₂²×#41	#546	1	4	yes	—
889	C₂²×#41	#546	1	4	yes	—
890	C₂²×#41	C₂⁴×C₄	1	1	yes	characteristic
891	C₂²×#41	C₂³×D₄	1	1	yes	characteristic
892	C₂²×#41	C₂³×D₄	1	2	yes	—
893	C₂²×#41	C₂²×#41	1	2	yes	—
894	C₂³×Q₈	#379	1	1	yes	characteristic
895	C₂³×Q₈	#386	1	1	yes	characteristic
896	C₂³×Q₈	#386	1	2	yes	—
897	C₂³×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
898	C₂³×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
899	C₂³×Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
900	C₂³×Q₈	C₂×C₄×D₄	1	2	yes	—
901	C₂³×Q₈	C₂×#123	1	1	yes	characteristic
902	C₂³×D₄	#379	1	2	yes	—
903	C₂³×D₄	#379	1	2	yes	—
904	C₂³×D₄	#379	1	2	yes	—
905	C₂³×D₄	#379	1	2	yes	—
906	C₂³×D₄	#379	1	1	yes	characteristic
907	C₂³×D₄	#386	1	1	yes	characteristic
908	C₂³×D₄	#386	1	2	yes	—
909	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
910	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
911	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
912	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
913	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
914	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
915	C₂³×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
916	C₂³×D₄	C₂×C₄×D₄	1	2	yes	—
917	C₂³×D₄	C₂×C₄×D₄	1	2	yes	—
918	C₂³×D₄	#518	1	2	yes	—
919	C₂³×D₄	#518	1	4	yes	—
920	C₂³×D₄	C₂×#120	1	2	yes	—
921	C₂³×D₄	C₂×#120	1	2	yes	—
922	C₂³×D₄	C₂×#120	1	2	yes	—
923	C₂³×D₄	C₂×#120	1	2	yes	—
924	C₂³×D₄	C₂×#120	1	2	yes	—
925	C₂³×D₄	C₂×#120	1	2	yes	—
926	C₂³×D₄	C₂×#120	1	1	yes	characteristic
927	C₂³×D₄	C₂×#120	1	2	yes	—
928	C₂³×D₄	C₂×#121	1	2	yes	—
929	C₂³×D₄	C₂×#121	1	2	yes	—
930	C₂³×D₄	C₂×#121	1	2	yes	—
931	C₂³×D₄	#534	1	2	yes	—
932	C₂³×D₄	#534	1	2	yes	—
933	C₂³×D₄	#534	1	4	yes	—
934	C₂³×D₄	#534	1	4	yes	—
935	C₂³×D₄	D₄²	1	4	yes	—
936	C₂³×D₄	D₄²	1	4	yes	—
937	C₂³×D₄	D₄²	1	4	yes	—
938	C₂³×D₄	D₄²	1	4	yes	—
939	C₂³×D₄	D₄²	1	4	yes	—
940	C₂³×D₄	D₄²	1	4	yes	—
941	C₂³×D₄	#546	1	4	yes	—
942	C₂³×D₄	#546	1	4	yes	—
943	C₂³×D₄	#546	1	4	yes	—
944	C₂³×D₄	#546	1	4	yes	—
945	C₂³×D₄	C₂³×D₄	1	1	yes	characteristic
946	C₂³×D₄	C₂³×D₄	1	2	yes	—
947	C₂³×D₄	C₂³×D₄	1	2	yes	—
948	C₂³×D₄	C₂×H(5,𝔽₂)	1	4	yes	—
949	C₂⁴×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
950	C₂⁴×C₄	C₂×C₄×D₄	1	2	yes	—
951	C₂⁴×C₄	C₂×#120	1	2	yes	—
952	C₂⁴×C₄	#546	1	4	yes	—
953	#535	B(4,𝔽₂)	1	8	yes	—
954	#535	B(4,𝔽₂)	1	8	yes	—
955	C₂×C₄⋊Q₈	#379	1	1	yes	characteristic
956	C₂×C₄⋊Q₈	#379	1	1	yes	characteristic
957	C₂×C₄⋊Q₈	#386	1	1	yes	characteristic
958	C₂×C₄⋊Q₈	#386	1	1	yes	characteristic
959	C₂×C₄⋊Q₈	#386	1	2	yes	—
960	C₂×C₄⋊Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
961	C₂×C₄⋊Q₈	C₂²×C₂²⋊C₄	1	1	yes	characteristic
962	C₂×C₄⋊Q₈	C₂×#123	1	1	yes	characteristic
963	C₂×C₄⋊Q₈	C₂×#123	1	2	yes	—
964	C₂×C₄⋊Q₈	C₂×#123	1	1	yes	characteristic
965	C₂×#127	#379	1	1	yes	characteristic
966	C₂×#127	#379	1	1	yes	characteristic
967	C₂×#127	#379	1	2	yes	—
968	C₂×#127	#379	1	2	yes	—
969	C₂×#127	#379	1	2	yes	—
970	C₂×#127	#379	1	2	yes	—
971	C₂×#127	#379	1	2	yes	—
972	C₂×#127	#379	1	2	yes	—
973	C₂×#127	#379	1	2	yes	—
974	C₂×#127	#379	1	2	yes	—
975	C₂×#127	#386	1	1	yes	characteristic
976	C₂×#127	#386	1	1	yes	characteristic
977	C₂×#127	#386	1	2	yes	—
978	C₂×#127	#386	1	2	yes	—
979	C₂×#127	#386	1	2	yes	—
980	C₂×#127	#386	1	2	yes	—
981	C₂×#127	#386	1	2	yes	—
982	C₂×#127	C₂×#99	1	8	yes	—
983	C₂×#127	C₂²×C₂²⋊C₄	1	1	yes	characteristic
984	C₂×#127	C₂²×C₂²⋊C₄	1	1	yes	characteristic
985	C₂×#127	C₂²×C₂²⋊C₄	1	2	yes	—
986	C₂×#127	C₂²×C₂²⋊C₄	1	2	yes	—
987	C₂×#127	C₂×#120	1	2	yes	—
988	C₂×#127	C₂×#120	1	2	yes	—
989	C₂×#127	C₂×#120	1	2	yes	—
990	C₂×#127	C₂×#120	1	2	yes	—
991	C₂×#127	C₂×#120	1	2	yes	—
992	C₂×#127	C₂×#120	1	2	yes	—
993	C₂×#127	C₂×#120	1	1	yes	characteristic
994	C₂×#127	C₂×#120	1	1	yes	characteristic
995	C₂×#127	C₂×#120	1	2	yes	—
996	C₂×#127	C₂×#121	1	2	yes	—
997	C₂×#127	C₂×#121	1	2	yes	—
998	C₂×#127	C₂×#121	1	2	yes	—
999	C₂×#127	C₂×#121	1	2	yes	—
1000	C₂×#124	#379	1	1	yes	characteristic
1001	C₂×#124	#379	1	1	yes	characteristic
1002	C₂×#124	#379	1	1	yes	characteristic
1003	C₂×#124	#379	1	1	yes	characteristic
1004	C₂×#124	#379	1	2	yes	—
1005	C₂×#124	#379	1	2	yes	—
1006	C₂×#124	#379	1	2	yes	—
1007	C₂×#124	#379	1	2	yes	—
1008	C₂×#124	#386	1	1	yes	characteristic
1009	C₂×#124	#386	1	1	yes	characteristic
1010	C₂×#124	#386	1	2	yes	—
1011	C₂×#124	#386	1	2	yes	—
1012	C₂×#124	#386	1	2	yes	—
1013	C₂×#124	#386	1	2	yes	—
1014	C₂×#124	#386	1	2	yes	—
1015	C₂×#124	#386	1	1	yes	characteristic
1016	C₂×#124	#386	1	1	yes	characteristic
1017	C₂×#124	#386	1	2	yes	—
1018	C₂×#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1019	C₂×#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1020	C₂×#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1021	C₂×#124	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1022	C₂×#124	C₂²×C₂²⋊C₄	1	2	yes	—
1023	C₂×#124	C₂²×C₂²⋊C₄	1	2	yes	—
1024	C₂×#124	C₂×#120	1	2	yes	—
1025	C₂×#124	C₂×#120	1	2	yes	—
1026	C₂×#124	C₂×#120	1	1	yes	characteristic
1027	C₂×#124	C₂×#120	1	1	yes	characteristic
1028	C₂×#124	C₂×#120	1	2	yes	—
1029	C₂×#124	C₂×#121	1	2	yes	—
1030	C₂×#124	C₂×#121	1	2	yes	—
1031	C₂×#124	C₂×#121	1	2	yes	—
1032	C₂×#124	C₂×#121	1	2	yes	—
1033	C₂×#124	C₂×#123	1	1	yes	characteristic
1034	C₂×#124	C₂×#123	1	2	yes	—
1035	C₂×#124	C₂×#123	1	1	yes	characteristic
1036	#519	C₂²×C₂²⋊C₄	1	4	yes	—
1037	C₂×#117	#379	1	2	yes	—
1038	C₂×#117	#379	1	2	yes	—
1039	C₂×#117	#379	1	2	yes	—
1040	C₂×#117	#386	1	1	yes	characteristic
1041	C₂×#117	#386	1	1	yes	characteristic
1042	C₂×#117	#386	1	2	yes	—
1043	C₂×#117	#386	1	1	yes	characteristic
1044	C₂×#117	#386	1	1	yes	characteristic
1045	C₂×#117	#386	1	2	yes	—
1046	C₂×#117	#386	1	2	yes	—
1047	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1048	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1049	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1050	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1051	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1052	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1053	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1054	C₂×#117	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1055	C₂×#117	C₂×C₄×D₄	1	2	yes	—
1056	C₂×#117	C₂×C₄×D₄	1	2	yes	—
1057	C₂×#117	C₂×#120	1	2	yes	—
1058	C₂×#117	C₂×#120	1	2	yes	—
1059	C₂²×C₄²	#379	1	1	yes	characteristic
1060	C₂²×C₄²	#379	1	1	yes	characteristic
1061	C₂²×C₄²	#379	1	1	yes	characteristic
1062	C₂²×C₄²	#379	1	1	yes	characteristic
1063	C₂²×C₄²	#379	1	2	yes	—
1064	C₂²×C₄²	#379	1	2	yes	—
1065	C₂²×C₄²	#379	1	2	yes	—
1066	C₂²×C₄²	#386	1	2	yes	—
1067	C₂²×C₄²	#386	1	2	yes	—
1068	C₂²×C₄²	#386	1	2	yes	—
1069	C₂²×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1070	C₂²×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1071	C₂²×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1072	C₂²×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1073	C₂²×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1074	C₂²×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1075	C₂²×C₄²	C₂×C₄×D₄	1	2	yes	—
1076	C₂²×C₄²	C₂×C₄×D₄	1	2	yes	—
1077	C₂²×C₄²	C₂×#120	1	2	yes	—
1078	C₂²×C₄²	C₂×#120	1	2	yes	—
1079	#453	C₂×#99	1	16	yes	—
1080	#453	C₂×#99	1	16	yes	—
1081	C₂×#101	C₂²×C₂²⋊C₄	1	4	yes	—
1082	C₂×#101	C₂²×C₂²⋊C₄	1	4	yes	—
1083	C₂×#100	C₂×#99	1	8	yes	—
1084	C₂×#100	C₂²×C₂²⋊C₄	1	4	yes	—
1085	C₂×#100	C₂²×C₂²⋊C₄	1	4	yes	—
1086	C₂⁵	#2308	1	1	yes	characteristic
1087	C₂⁵	#2308	1	2	yes	—
1088	C₂⁵	D₄×C₂²⋊C₄	1	4	yes	—
1089	C₂⁵	D₄×C₂²⋊C₄	1	2	yes	—
1090	C₂⁵	#2403	1	4	yes	—
1091	C₂⁵	#2403	1	2	yes	—
1092	C₂⁵	#2410	1	4	yes	—
1093	C₂⁵	#2410	1	4	yes	—
1094	C₂⁵	#2410	1	4	yes	—
1095	C₂⁵	C₂×#534	1	2	yes	—
1096	C₂⁵	C₂×D₄²	1	4	yes	—
1097	H(5,𝔽₂)	C₂²×#99	1	8	yes	—
1098	C₂×#41	#1889	1	4	yes	—
1099	C₂×#41	#1889	1	4	yes	—
1100	C₂²×Q₈	C₂×#379	1	1	yes	characteristic
1101	C₂²×Q₈	C₂×#379	1	1	yes	characteristic
1102	C₂²×Q₈	C₂×#379	1	1	yes	characteristic
1103	C₂²×Q₈	C₂×#386	1	1	yes	characteristic
1104	C₂²×Q₈	C₂×#386	1	2	yes	—
1105	C₂²×Q₈	C₂×#386	1	1	yes	characteristic
1106	C₂²×Q₈	C₂×#386	1	1	yes	characteristic
1107	C₂²×Q₈	D₄×C₂²⋊C₄	1	2	yes	—
1108	C₂²×Q₈	#2405	1	2	yes	—
1109	C₂²×Q₈	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1110	C₂²×Q₈	C₂²×#123	1	1	yes	characteristic
1111	C₂²×D₄	#1781	1	4	yes	—
1112	C₂²×D₄	C₂×#379	1	2	yes	—
1113	C₂²×D₄	C₂×#379	1	2	yes	—
1114	C₂²×D₄	C₂×#379	1	1	yes	characteristic
1115	C₂²×D₄	C₂×#379	1	1	yes	characteristic
1116	C₂²×D₄	C₂×#379	1	1	yes	characteristic
1117	C₂²×D₄	C₂×#379	1	2	yes	—
1118	C₂²×D₄	C₂×#386	1	2	yes	—
1119	C₂²×D₄	C₂×#386	1	1	yes	characteristic
1120	C₂²×D₄	C₂×#386	1	1	yes	characteristic
1121	C₂²×D₄	C₂×#386	1	1	yes	characteristic
1122	C₂²×D₄	C₂×#386	1	2	yes	—
1123	C₂²×D₄	#2308	1	2	yes	—
1124	C₂²×D₄	#2308	1	2	yes	—
1125	C₂²×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1126	C₂²×D₄	D₄×C₂²⋊C₄	1	4	yes	—
1127	C₂²×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1128	C₂²×D₄	D₄×C₂²⋊C₄	1	4	yes	—
1129	C₂²×D₄	D₄×C₂²⋊C₄	1	2	yes	—
1130	C₂²×D₄	#2403	1	2	yes	—
1131	C₂²×D₄	#2403	1	4	yes	—
1132	C₂²×D₄	#2403	1	2	yes	—
1133	C₂²×D₄	#2405	1	4	yes	—
1134	C₂²×D₄	#2405	1	2	yes	—
1135	C₂²×D₄	#2410	1	4	yes	—
1136	C₂²×D₄	#2410	1	4	yes	—
1137	C₂²×D₄	#2410	1	4	yes	—
1138	C₂²×D₄	#2410	1	4	yes	—
1139	C₂²×D₄	C₂²×#99	1	4	yes	—
1140	C₂²×D₄	#2883	1	4	yes	—
1141	C₂²×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1142	C₂²×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
1143	C₂²×D₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1144	C₂²×D₄	C₂×#518	1	2	yes	—
1145	C₂²×D₄	C₂²×#120	1	2	yes	—
1146	C₂²×D₄	C₂²×#120	1	1	yes	characteristic
1147	C₂²×D₄	C₂²×#121	1	2	yes	—
1148	C₂²×D₄	C₂×#534	1	2	yes	—
1149	C₂²×D₄	C₂×D₄²	1	4	yes	—
1150	C₂²×D₄	C₂×#546	1	4	yes	—
1151	C₂³×C₄	C₂×#379	1	1	yes	characteristic
1152	C₂³×C₄	C₂×#379	1	1	yes	characteristic
1153	C₂³×C₄	C₂×#379	1	2	yes	—
1154	C₂³×C₄	C₂×#386	1	1	yes	characteristic
1155	C₂³×C₄	C₂×#386	1	1	yes	characteristic
1156	C₂³×C₄	C₂×#386	1	2	yes	—
1157	C₂³×C₄	#2308	1	1	yes	characteristic
1158	C₂³×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1159	C₂³×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1160	C₂³×C₄	D₄×C₂²⋊C₄	1	4	yes	—
1161	C₂³×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1162	C₂³×C₄	#2403	1	2	yes	—
1163	C₂³×C₄	#2405	1	2	yes	—
1164	C₂³×C₄	#2405	1	4	yes	—
1165	C₂³×C₄	#2405	1	2	yes	—
1166	C₂³×C₄	#2410	1	4	yes	—
1167	C₂³×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1168	C₂³×C₄	C₂²×C₄×D₄	1	2	yes	—
1169	C₂³×C₄	C₂²×#120	1	2	yes	—
1170	C₂³×C₄	C₂×#546	1	4	yes	—
1171	#127	#1781	1	4	yes	—
1172	#127	#1781	1	4	yes	—
1173	#127	#1889	1	4	yes	—
1174	#127	#1889	1	4	yes	—
1175	#127	C₂²×#99	1	4	yes	—
1176	#127	C₂²×#99	1	4	yes	—
1177	#127	C₂×B(4,𝔽₂)	1	4	yes	—
1178	#127	C₂×B(4,𝔽₂)	1	4	yes	—
1179	#124	#1889	1	4	yes	—
1180	#124	#1889	1	4	yes	—
1181	#124	C₂×B(4,𝔽₂)	1	4	yes	—
1182	#124	C₂×B(4,𝔽₂)	1	4	yes	—
1183	#117	#1889	1	4	yes	—
1184	#117	#1889	1	4	yes	—
1185	C₂×C₄²	#1781	1	4	yes	—
1186	C₂×C₄²	C₂×#379	1	1	yes	characteristic
1187	C₂×C₄²	C₂×#379	1	1	yes	characteristic
1188	C₂×C₄²	C₂×#379	1	2	yes	—
1189	C₂×C₄²	C₂×#379	1	2	yes	—
1190	C₂×C₄²	C₂×#379	1	1	yes	characteristic
1191	C₂×C₄²	C₂×#379	1	1	yes	characteristic
1192	C₂×C₄²	C₂×#386	1	1	yes	characteristic
1193	C₂×C₄²	C₂×#386	1	1	yes	characteristic
1194	C₂×C₄²	C₂×#386	1	1	yes	characteristic
1195	C₂×C₄²	C₂×#386	1	1	yes	characteristic
1196	C₂×C₄²	C₂×#386	1	2	yes	—
1197	C₂×C₄²	C₂×#386	1	2	yes	—
1198	#100	C₂²×#99	1	8	yes	—
1199	C₂⁴	#13867	1	2	yes	—
1200	C₂⁴	#13867	1	2	yes	—
1201	C₂⁴	#13867	1	1	yes	characteristic
1202	C₂⁴	#13867	1	4	yes	—
1203	C₂⁴	#13867	1	1	yes	characteristic
1204	C₂⁴	#21776	1	4	yes	—
1205	C₂⁴	D₄×#99	1	8	yes	—
1206	C₂⁴	#23900	1	8	yes	—
1207	C₂⁴	C₂×#2308	1	1	yes	characteristic
1208	C₂⁴	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1209	C₂⁴	C₂×#2403	1	2	yes	—
1210	C₂⁴	C₂×#2410	1	4	yes	—
1211	C₂×Q₈	C₂×#1889	1	2	yes	—
1212	C₂×Q₈	C₂×#1889	1	2	yes	—
1213	C₂×D₄	C₂×#1781	1	2	yes	—
1214	C₂×D₄	C₂×#1781	1	2	yes	—
1215	C₂×D₄	C₂×#1781	1	2	yes	—
1216	C₂×D₄	#20585	1	2	yes	—
1217	C₂×D₄	C₂×#1889	1	2	yes	—
1218	C₂×D₄	C₂×#1889	1	2	yes	—
1219	C₂×D₄	C₂×#1889	1	2	yes	—
1220	C₂×D₄	C₂×#1889	1	2	yes	—
1221	C₂×D₄	D₄×#99	1	8	yes	—
1222	C₂×D₄	#23900	1	8	yes	—
1223	C₂×D₄	C₂³×#99	1	2	yes	—
1224	C₂×D₄	C₂×#2883	1	2	yes	—
1225	C₂×D₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1226	C₂×D₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1227	C₂²×C₄	#13867	1	1	yes	characteristic
1228	C₂²×C₄	#13867	1	1	yes	characteristic
1229	C₂²×C₄	#13867	1	2	yes	—
1230	C₂²×C₄	#13867	1	2	yes	—
1231	C₂²×C₄	C₂×#1781	1	2	yes	—
1232	C₂²×C₄	#20585	1	2	yes	—
1233	C₂²×C₄	C₂×#1889	1	2	yes	—
1234	C₂²×C₄	C₂×#1889	1	2	yes	—
1235	C₂²×C₄	C₂²×#379	1	1	yes	characteristic
1236	C₂²×C₄	C₂²×#386	1	1	yes	characteristic
1237	C₂²×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1238	C₂²×C₄	C₂×#2405	1	2	yes	—
1239	C₄²	C₂×#1781	1	2	yes	—
1240	C₄²	C₂×#1781	1	2	yes	—
1241	C₄²	C₂×#1889	1	2	yes	—
1242	C₄²	C₂×#1889	1	2	yes	—
1243	C₄²	C₂×#1889	1	2	yes	—
1244	C₄²	C₂×#1889	1	2	yes	—
1245	C₂³	#359501	1	2	yes	—
1246	C₂³	#359501	1	4	yes	—
1247	C₂³	#359579	1	2	yes	—
1248	C₂³	#359579	1	4	yes	—
1249	C₂³	#359591	1	2	yes	—
1250	C₂³	#359591	1	2	yes	—
1251	C₂³	C₂×#13867	1	1	yes	characteristic
1252	C₂³	C₂×#21776	1	2	yes	—
1253	C₂³	C₂×D₄×#99	1	4	yes	—
1254	C₂³	C₂×#23900	1	4	yes	—
1255	C₂×C₄	#359501	1	2	yes	—
1256	C₂×C₄	#359579	1	2	yes	—
1257	C₂×C₄	C₂²×#1781	1	1	yes	characteristic
1258	C₂×C₄	C₂×#20585	1	1	yes	characteristic
1259	C₂×C₄	C₂²×#1889	1	1	yes	characteristic
1260	C₂×C₄	C₂²×#1889	1	1	yes	characteristic
1261	C₂²	#72216625	1	4	yes	—
1262	C₂²	C₂×#359579	1	1	yes	characteristic
1263	C₂²	C₂×#359591	1	1	yes	characteristic
1264	C₂²	C₂×#359501	1	1	yes	characteristic
1265	C₂	C₂×#72216625	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	C₂×#72216625
commutator	C₂²×#41	C₂⁴×C₄
Frattini, cosocle	C₂²×H(5,𝔽₂)	C₂⁵
prime radical	#72341809	C₂
LCS	G ▷ C₂²×#41 ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂⁴ ◁ C₂³×H(5,𝔽₂) ◁ G
LECS	G ▷ C₂²×H(5,𝔽₂) ▷ C₂³ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72341853	C₂	semidirect
2. #72341846	C₂	semidirect
3. #72341836	C₂	semidirect
4. #72341833	C₂²	semidirect
6. #72341772	C₄	semidirect
7. #72341765	C₄	semidirect
8. #72341760	C₄	semidirect
9. #72341753	C₄	semidirect
10. #72341746	C₄	semidirect
11. #72341740	C₄	semidirect
12. #72341674	C₂	semidirect
14. #72341474	C₂	semidirect
15. #72341473	C₂²	semidirect
16. #72341471	C₄	semidirect
18. #72341437	C₂	semidirect
19. #72341435	C₂²	semidirect
20. #72341399	C₂	semidirect
21. #72341386	C₂²	semidirect
22. C₂×#72241315	C₂	semidirect
23. #72337559	C₂²	semidirect
24. #72312619	C₄	semidirect
26. #72312480	C₂	semidirect
28. C₂×#10574854	C₄	semidirect
29. #72311883	C₂²	semidirect
31. #72311394	C₂	semidirect
32. #72311370	C₂²	semidirect
34. #72311254	C₄	semidirect
36. #72311237	C₂²	semidirect
37. #72311237	C₂²	semidirect
38. C₂×#72238016	C₂	semidirect
39. #72311140	C₂²	semidirect
41. #72311055	C₂²	semidirect
42. C₂×#128079	C₂²	semidirect
43. C₂×#493430	C₂²	semidirect
44. C₂×#146577	C₂²	semidirect
45. C₂×#6385980	C₂²	semidirect
46. #72302921	C₄	semidirect
47. #72260657	C₂²	semidirect
48. C₂×#493397	C₂²	semidirect
53. #72241336	C₂	semidirect
54. #72241333	C₂²	semidirect
55. #72241315	C₂²	semidirect
56. #72241315	C₂²	semidirect
57. #72241079	C₂²	semidirect
58. C₂×#392135	C₂²	semidirect
59. #72238016	C₂²	semidirect
60. #72238016	C₂²	semidirect
61. #72238014	C₂²	semidirect
62. #72236979	C₂²	semidirect
63. #72236706	C₂²	semidirect
64. #72215857	C₄	semidirect
66. #72213435	C₂²	semidirect
67. C₂×#63103	C₂×C₄	semidirect
69. #10586106	C₂×C₄	semidirect
71. #10586097	C₂×C₄	semidirect
73. #10586020	C₂×C₄	semidirect
74. #10586020	C₂×C₄	semidirect
80. #10585883	C₂×C₄	semidirect
81. C₂×#60391	C₂×C₄	semidirect
82. C₂×#60389	C₂×C₄	semidirect
83. C₂×#60390	C₂×C₄	semidirect
86. C₂×#60388	C₂×C₄	semidirect
91. C₂×#60387	C₂×C₄	semidirect
92. C₂×#60387	C₂×C₄	semidirect
93. C₂×#60387	C₂×C₄	semidirect
102. C₂×#60076	C₂×C₄	semidirect
133. #6628972	C₂×C₄	semidirect
134. #6628972	C₂×C₄	semidirect
135. #6628970	C₂×C₄	semidirect
136. #6628970	C₂×C₄	semidirect
137. #6628874	C₂×C₄	semidirect
138. #6628874	C₂×C₄	semidirect
139. #6628873	C₂×C₄	semidirect
141. #6628872	C₂×C₄	semidirect
142. #6628872	C₂×C₄	semidirect
143. #6628872	C₂×C₄	semidirect
145. #6443332	C₂×C₄	semidirect
146. #6443332	C₂×C₄	semidirect
147. #6443331	C₂×C₄	semidirect
148. #6443331	C₂×C₄	semidirect
149. #6442560	C₂×C₄	semidirect
150. #6442560	C₂×C₄	semidirect
151. #6442555	C₂×C₄	semidirect
152. #6442555	C₂×C₄	semidirect
153. #6437971	C₂×C₄	semidirect
154. #6437971	C₂×C₄	semidirect
155. #6437970	C₂×C₄	semidirect
157. #6437969	C₂×C₄	semidirect
158. #6437969	C₂×C₄	semidirect
159. #6437969	C₂×C₄	semidirect
161. #6437455	C₂×C₄	semidirect
162. #6437454	C₂×C₄	semidirect
163. #6437453	C₂×C₄	semidirect
166. #6437452	C₂×C₄	semidirect
173. #6385980	C₂³	semidirect
174. #6385980	C₂³	semidirect
175. #6379034	C₂×C₄	semidirect
177. #6379033	C₂×C₄	semidirect
179. #6372704	C₂×C₄	semidirect
180. #6372704	C₂×C₄	semidirect
181. C₄×#3018	C₂×C₄	semidirect
182. C₄×#3018	C₂×C₄	semidirect
183. #6371454	C₂×C₄	semidirect
186. #6371287	C₂×C₄	semidirect
187. #6370781	C₂×C₄	semidirect
188. #6370746	C₂×C₄	semidirect
189. #6370746	C₂×C₄	semidirect
190. #6370746	C₂×C₄	semidirect
191. #6370703	C₂×C₄	semidirect
195. #6369826	C₂×C₄	semidirect
196. #496205	C₂³	semidirect
197. #496203	C₂³	semidirect
204. #493430	C₂³	semidirect
205. #493430	C₂³	semidirect
208. #213862	C₂³	semidirect
209. #213860	C₂³	semidirect
210. #146577	C₂³	semidirect
211. #128079	C₂³	semidirect
212. C₂×2₋¹⁺⁶	C₂²×C₄	semidirect
214. C₂×H(7,𝔽₂)	C₂²×C₄	semidirect
217. C₂²×#585	C₂²⋊C₄	semidirect
225. #62859	C₂²×C₄	semidirect
227. #62852	C₂²×C₄	semidirect
230. #62812	C₂²×C₄	semidirect
231. #62812	C₂²×C₄	semidirect
232. C₂×#3500	C₂²⋊C₄	semidirect
233. C₂×#3500	C₂²⋊C₄	semidirect
234. C₂×#3500	C₂²⋊C₄	semidirect
235. C₂×#3500	C₂²⋊C₄	semidirect
246. C₂×#3499	C₂²⋊C₄	semidirect
248. C₂×#3498	C₂²⋊C₄	semidirect
249. C₂×#3498	C₂²⋊C₄	semidirect
250. C₂×#3498	C₂²⋊C₄	semidirect
273. C₂×#3449	C₂²⋊C₄	semidirect
280. C₂²×#535	C₂²⋊C₄	semidirect
281. C₂²×#535	C₂²⋊C₄	semidirect
282. C₂²×#535	C₂²⋊C₄	semidirect
292. C₂²×#532	C₂²⋊C₄	semidirect
297. C₄×#585	C₂²×C₄	semidirect
298. C₄×#585	C₂²×C₄	semidirect
299. C₂×#3428	C₂²⋊C₄	semidirect
302. C₂²×C₄×#41	C₂²⋊C₄	semidirect
304. C₂×#3022	C₂²×C₄	semidirect
305. C₂×#3022	C₂²×C₄	semidirect
306. C₂×#3022	C₂²×C₄	semidirect
309. C₂×#3021	C₂²⋊C₄	semidirect
316. C₂×#3021	C₂²×C₄	semidirect
317. C₂×#3021	C₂²×C₄	semidirect
318. C₂×#3021	C₂²×C₄	semidirect
327. C₂×#3018	C₂²⋊C₄	semidirect
328. C₂×#3018	C₂²⋊C₄	semidirect
335. C₂²×#456	C₂²⋊C₄	semidirect
336. C₂²×#454	C₂²⋊C₄	semidirect
337. C₂²×#454	C₂²⋊C₄	semidirect
348. C₂×#2889	C₂²×C₄	semidirect
350. C₂×#2888	C₂²×C₄	semidirect
359. C₂×#2867	C₂²⋊C₄	semidirect
361. C₂×#2858	C₂²⋊C₄	semidirect
363. #35676	C₂²⋊C₄	semidirect
364. #35676	C₂²⋊C₄	semidirect
365. #35676	C₂²⋊C₄	semidirect
366. #35676	C₂²⋊C₄	semidirect
371. #35616	C₂²⋊C₄	semidirect
372. #35616	C₂²⋊C₄	semidirect
379. #35527	C₂²⋊C₄	semidirect
380. #35527	C₂²⋊C₄	semidirect
381. #35527	C₂²⋊C₄	semidirect
382. #35527	C₂²⋊C₄	semidirect
383. #35527	C₂²⋊C₄	semidirect
384. #35527	C₂²⋊C₄	semidirect
395. #35327	C₂²⋊C₄	semidirect
396. #35327	C₂²⋊C₄	semidirect
397. #35327	C₂²⋊C₄	semidirect
398. #35327	C₂²⋊C₄	semidirect
399. #35327	C₂²⋊C₄	semidirect
400. #35327	C₂²⋊C₄	semidirect
407. #35316	C₂²⋊C₄	semidirect
409. #35272	C₂²⋊C₄	semidirect
410. #35272	C₂²⋊C₄	semidirect
411. #35272	C₂²⋊C₄	semidirect
412. #35272	C₂²⋊C₄	semidirect
413. #35272	C₂²⋊C₄	semidirect
414. #35272	C₂²⋊C₄	semidirect
415. #35272	C₂²⋊C₄	semidirect
416. #35272	C₂²⋊C₄	semidirect
417. #35272	C₂²⋊C₄	semidirect
427. C₂×#2657	C₂²⋊C₄	semidirect
428. C₂×#2657	C₂²⋊C₄	semidirect
431. #34070	C₂²⋊C₄	semidirect
432. #34070	C₂²⋊C₄	semidirect
433. #34070	C₂²⋊C₄	semidirect
434. #34070	C₂²⋊C₄	semidirect
439. #34052	C₂²⋊C₄	semidirect
440. #34044	C₂²⋊C₄	semidirect
441. #34044	C₂²⋊C₄	semidirect
442. #34044	C₂²⋊C₄	semidirect
443. #34044	C₂²⋊C₄	semidirect
446. C₂×#2309	C₂²⋊C₄	semidirect
448. C₄×#532	C₂²⋊C₄	semidirect
449. C₄×#532	C₂²⋊C₄	semidirect
450. C₄×#532	C₂²⋊C₄	semidirect
451. C₄×#532	C₂²⋊C₄	semidirect
456. C₂×#2285	C₂²⋊C₄	semidirect
457. C₂×C₄×#117	C₂²⋊C₄	semidirect
462. #23915	C₂²⋊C₄	semidirect
463. #23915	C₂²⋊C₄	semidirect
466. #23909	C₂²⋊C₄	semidirect
467. #23909	C₂²⋊C₄	semidirect
470. #20956	C₂²⋊C₄	semidirect
473. #20956	C₂²×C₄	semidirect
474. #20955	C₂²×C₄	semidirect
475. #20952	C₂²⋊C₄	semidirect
476. #20952	C₂²⋊C₄	semidirect
479. C₂×#1888	C₂²⋊C₄	semidirect
480. C₂×#1888	C₂²⋊C₄	semidirect
481. C₂×#1886	C₂²⋊C₄	semidirect
482. #20855	C₂²×C₄	semidirect
483. #20855	C₂²×C₄	semidirect
484. #20637	C₂²×C₄	semidirect
485. #20637	C₂²×C₄	semidirect
486. #20615	C₂²×C₄	semidirect
487. #20615	C₂²×C₄	semidirect
488. #20615	C₂²×C₄	semidirect
489. #20615	C₂²×C₄	semidirect
490. #20615	C₂²×C₄	semidirect
491. #20615	C₂²×C₄	semidirect
492. #20593	C₂²×C₄	semidirect
494. #20592	C₂²×C₄	semidirect
501. C₄×#413	C₂²×C₄	semidirect
502. C₄×#413	C₂²×C₄	semidirect
511. C₂²×2₋¹⁺⁴	C₂×C₂²⋊C₄	semidirect
512. C₂²×2₋¹⁺⁴	C₂×C₂²⋊C₄	semidirect
521. C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	semidirect
522. C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	semidirect
561. C₂×#536	C₂×C₂²⋊C₄	semidirect
562. C₂×#536	C₂×C₂²⋊C₄	semidirect
590. C₂×#535	C₂×C₂²⋊C₄	semidirect
591. C₂×#535	C₂×C₂²⋊C₄	semidirect
592. C₂×#535	C₂×C₂²⋊C₄	semidirect
593. C₂×#535	C₂×C₂²⋊C₄	semidirect
594. C₂×#535	C₂×C₂²⋊C₄	semidirect
595. C₂×#535	C₂×C₂²⋊C₄	semidirect
673. C₂²×C₄⋊Q₈	C₂×C₂²⋊C₄	semidirect
682. C₂²×#127	C₂×C₂²⋊C₄	semidirect
683. C₂²×#127	C₂×C₂²⋊C₄	semidirect
684. C₂²×#127	C₂×C₂²⋊C₄	semidirect
685. C₂²×#127	C₂×C₂²⋊C₄	semidirect
686. C₂²×#127	C₂×C₂²⋊C₄	semidirect
712. C₂²×#124	C₂×C₂²⋊C₄	semidirect
713. C₂²×#124	C₂×C₂²⋊C₄	semidirect
714. C₂²×#124	C₂×C₂²⋊C₄	semidirect
715. C₂²×#124	C₂×C₂²⋊C₄	semidirect
716. C₂²×#124	C₂×C₂²⋊C₄	semidirect
717. C₂²×#124	C₂×C₂²⋊C₄	semidirect
733. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
734. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
735. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
736. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
737. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
738. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
739. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
740. C₂×C₄×#41	C₂×C₂²⋊C₄	semidirect
760. C₂×#456	C₂×C₂²⋊C₄	semidirect
761. C₂×#456	C₂×C₂²⋊C₄	semidirect
762. C₂×#454	C₂×C₂²⋊C₄	semidirect
763. C₂×#454	C₂×C₂²⋊C₄	semidirect
764. C₂×#454	C₂×C₂²⋊C₄	semidirect
765. C₂×#454	C₂×C₂²⋊C₄	semidirect
770. C₂×#453	#99	semidirect
794. #2310	C₂×C₂²⋊C₄	semidirect
795. #2310	C₂×C₂²⋊C₄	semidirect
796. #2310	C₂×C₂²⋊C₄	semidirect
797. #2310	C₂×C₂²⋊C₄	semidirect
800. #2309	C₂×C₂²⋊C₄	semidirect
801. #2309	C₂×C₂²⋊C₄	semidirect
802. #2309	C₂×C₂²⋊C₄	semidirect
803. #2309	C₂×C₂²⋊C₄	semidirect
804. #2309	C₂×C₂²⋊C₄	semidirect
805. #2309	C₂×C₂²⋊C₄	semidirect
806. #2309	C₂×C₂²⋊C₄	semidirect
807. #2309	C₂×C₂²⋊C₄	semidirect
814. #2297	C₂×C₂²⋊C₄	semidirect
815. #2297	C₂×C₂²⋊C₄	semidirect
816. #2297	C₂×C₂²⋊C₄	semidirect
817. #2297	C₂×C₂²⋊C₄	semidirect
818. #2297	C₂×C₂²⋊C₄	semidirect
819. #2297	C₂×C₂²⋊C₄	semidirect
820. #2297	C₂×C₂²⋊C₄	semidirect
821. #2297	C₂×C₂²⋊C₄	semidirect
826. #2285	C₂×C₂²⋊C₄	semidirect
827. #2285	C₂×C₂²⋊C₄	semidirect
828. #2285	C₂×C₂²⋊C₄	semidirect
829. #2285	C₂×C₂²⋊C₄	semidirect
830. #2285	C₂×C₂²⋊C₄	semidirect
831. #2285	C₂×C₂²⋊C₄	semidirect
832. #2285	C₂×C₂²⋊C₄	semidirect
833. #2285	C₂×C₂²⋊C₄	semidirect
834. C₂×#376	C₂×C₂²⋊C₄	semidirect
835. C₂×#376	C₂×C₂²⋊C₄	semidirect
836. C₂×C₄³	C₂×C₂²⋊C₄	semidirect
837. C₂×C₄³	C₂×C₂²⋊C₄	semidirect
838. #1888	C₂×C₂²⋊C₄	semidirect
839. #1888	C₂×C₂²⋊C₄	semidirect
840. #1888	C₂×C₂²⋊C₄	semidirect
841. #1888	C₂×C₂²⋊C₄	semidirect
842. #1886	C₂×C₂²⋊C₄	semidirect
843. #1886	C₂×C₂²⋊C₄	semidirect

Maximal subgroups

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

subgroup	index
#72341853	2
#72341846	2
#72341836	2
#72341809	2
#72341674	2
#72341474	2
#72341437	2
#72341399	2
C₂×#72241315	2
#72312480	2
#72311394	2
C₂×#72238016	2
#72241336	2