Subgroups — #72335022

Order 2048.

At least 9897 conjugacy classes of subgroups; only the 10024 normal subgroups are shown.

The subgroup lattice has 1112 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72335006	C₂	1	2	yes	maximal, complemented
2	#72335004	C₂	1	2	yes	maximal, complemented
3	#72334997	C₂	1	4	yes	maximal, complemented
4	#72334995	C₂	1	1	yes	maximal, characteristic, complemented
5	#72334992	C₂	1	2	yes	maximal, complemented
6	#72334303	C₂	1	2	yes	maximal, complemented
7	#72332555	C₂	1	2	yes	maximal, complemented
8	#72332554	C₂	1	1	yes	maximal, characteristic, complemented
9	#72316737	C₂	1	8	yes	maximal, complemented
10	#72298498	C₂	1	4	yes	maximal, complemented
11	#72298452	C₂	1	2	yes	maximal, complemented
12	#72293969	C₂	1	1	yes	maximal, characteristic, complemented
13	#72287882	C₂	1	1	yes	maximal, characteristic, complemented
14	#72286425	C₂	1	2	yes	maximal, complemented
15	C₂×#612433	C₂	1	2	yes	maximal, complemented
16	C₂×#612433	C₂	1	2	yes	maximal, complemented
17	C₂×#649101	C₂	1	4	yes	maximal, complemented
18	C₂×#612459	C₂	1	1	yes	maximal, characteristic, complemented
19	#72252092	C₂	1	1	yes	maximal, characteristic, complemented
20	#72251013	C₂	1	8	yes	maximal, complemented
21	#72250308	C₂	1	2	yes	maximal, complemented
22	#72250297	C₂	1	4	yes	maximal, complemented
23	#72250275	C₂	1	2	yes	maximal, complemented
24	C₂²×#13867	C₂	1	2	yes	maximal, complemented
25	C₂⁴×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂⁶×D₄	C₂²	1	2	yes	—
27	C₂⁶×D₄	C₂²	1	2	yes	—
28	C₂³×D₄²	C₂²	1	8	yes	—
29	C₂³×D₄²	C₂²	1	4	yes	—
30	C₂³×D₄²	C₂²	1	4	yes	—
31	C₂⁴×#127	C₂²	1	1	yes	characteristic
32	C₂⁴×#121	C₂²	1	2	yes	—
33	C₂⁴×#121	C₂²	1	2	yes	—
34	C₂⁴×#120	C₂²	1	1	yes	characteristic
35	C₂⁴×#120	C₂²	1	2	yes	—
36	C₂⁴×#120	C₂²	1	1	yes	characteristic
37	C₂⁴×C₄×D₄	C₂²	1	2	yes	—
38	C₂⁵×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#2847	C₂²	1	2	yes	complemented
40	C₂²×#2846	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#2846	C₂²	1	2	yes	complemented
42	C₂²×#2846	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#2410	C₂²	1	2	yes	—
44	C₂²×#2410	C₂²	1	4	yes	complemented
45	C₂²×#2410	C₂²	1	2	yes	complemented
46	C₂²×#2410	C₂²	1	8	yes	complemented
47	C₂²×#2410	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#2410	C₂²	1	2	yes	complemented
49	C₂²×#2410	C₂²	1	4	yes	complemented
50	C₂³×#386	C₂²	1	8	yes	complemented
51	C₂³×#379	C₂²	1	2	yes	complemented
52	C₂³×#379	C₂²	1	2	yes	complemented
53	C₂³×#379	C₂²	1	2	yes	complemented
54	C₂×#15313	C₂²	1	4	yes	complemented
55	C₂×#15310	C₂²	1	4	yes	complemented
56	C₂×#15274	C₂²	1	8	yes	complemented
57	C₂×#15273	C₂²	1	8	yes	complemented
58	C₂×#15266	C₂²	1	4	yes	complemented
59	C₂×#15257	C₂²	1	4	yes	complemented
60	C₂×#14757	C₂²	1	8	yes	complemented
61	C₂×#14747	C₂²	1	8	yes	complemented
62	C₂×#14725	C₂²	1	4	yes	complemented
63	C₂×#14725	C₂²	1	8	yes	complemented
64	C₂×#14725	C₂²	1	2	yes	complemented
65	C₂×#14724	C₂²	1	4	yes	complemented
66	C₂×#14724	C₂²	1	8	yes	complemented
67	C₂×#14724	C₂²	1	4	yes	complemented
68	C₂×#14724	C₂²	1	2	yes	complemented
69	C₂×#14724	C₂²	1	2	yes	complemented
70	C₂×#14724	C₂²	1	2	yes	complemented
71	C₂×#14724	C₂²	1	2	yes	complemented
72	C₂×#14724	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14716	C₂²	1	4	yes	complemented
74	C₂×#14716	C₂²	1	8	yes	complemented
75	C₂×#14716	C₂²	1	2	yes	complemented
76	C₂×#14715	C₂²	1	4	yes	complemented
77	C₂×#14715	C₂²	1	8	yes	complemented
78	C₂×#14715	C₂²	1	4	yes	complemented
79	C₂×#14715	C₂²	1	2	yes	complemented
80	C₂×#14715	C₂²	1	2	yes	complemented
81	C₂×#14715	C₂²	1	2	yes	complemented
82	C₂×#14715	C₂²	1	2	yes	complemented
83	C₂×#14715	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14694	C₂²	1	2	yes	complemented
85	C₂×#14694	C₂²	1	2	yes	complemented
86	C₂×#14694	C₂²	1	2	yes	complemented
87	C₂×#14693	C₂²	1	2	yes	complemented
88	C₂×#14693	C₂²	1	2	yes	complemented
89	C₂×#14679	C₂²	1	2	yes	complemented
90	C₂×#14679	C₂²	1	2	yes	complemented
91	C₂×#14679	C₂²	1	1	yes	characteristic, complemented
92	C₂×#14134	C₂²	1	2	yes	complemented
93	C₂×#14134	C₂²	1	1	yes	characteristic, complemented
94	C₂×#14134	C₂²	1	4	yes	complemented
95	C₂×#14023	C₂²	1	8	yes	complemented
96	C₂×#13975	C₂²	1	8	yes	complemented
97	C₂×#13877	C₂²	1	1	yes	characteristic, complemented
98	C₂×#13877	C₂²	1	2	yes	complemented
99	C₂×#13867	C₂²	1	2	yes	—
100	C₂×#13867	C₂²	1	2	yes	—
101	C₂×#13867	C₂²	1	2	yes	—
102	C₂×#13867	C₂²	1	8	yes	complemented
103	C₂×#13867	C₂²	1	2	yes	complemented
104	C₂×#13867	C₂²	1	2	yes	complemented
105	C₂×#13867	C₂²	1	2	yes	complemented
106	C₂×#13867	C₂²	1	1	yes	characteristic, complemented
107	C₂×#13867	C₂²	1	2	yes	complemented
108	C₂×#13867	C₂²	1	2	yes	complemented
109	C₂×#13867	C₂²	1	2	yes	complemented
110	C₂×#13867	C₂²	1	2	yes	complemented
111	C₂×#13867	C₂²	1	2	yes	complemented
112	C₂×#13867	C₂²	1	2	yes	complemented
113	C₂×#13867	C₂²	1	4	yes	complemented
114	C₂×#13867	C₂²	1	8	yes	complemented
115	C₂×#13867	C₂²	1	4	yes	complemented
116	C₂×#13867	C₂²	1	8	yes	complemented
117	C₂×#13867	C₂²	1	8	yes	complemented
118	C₂×#13867	C₂²	1	2	yes	complemented
119	C₂×#13867	C₂²	1	8	yes	complemented
120	C₂²×#1438	C₂²	1	8	yes	complemented
121	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
122	C₂²×C₂²⋊#95	C₂²	1	2	yes	complemented
123	#158327	C₂²	1	4	yes	complemented
124	#158327	C₂²	1	8	yes	complemented
125	#158314	C₂²	1	4	yes	complemented
126	#156854	C₂²	1	8	yes	complemented
127	#156854	C₂²	1	8	yes	complemented
128	#156824	C₂²	1	8	yes	complemented
129	#156824	C₂²	1	8	yes	complemented
130	#156731	C₂²	1	8	yes	complemented
131	#156731	C₂²	1	8	yes	complemented
132	#156706	C₂²	1	8	yes	complemented
133	#156706	C₂²	1	8	yes	complemented
134	#156688	C₂²	1	4	yes	complemented
135	#156688	C₂²	1	8	yes	complemented
136	#156688	C₂²	1	8	yes	complemented
137	#156688	C₂²	1	8	yes	complemented
138	#156688	C₂²	1	8	yes	complemented
139	#156684	C₂²	1	4	yes	complemented
140	#156684	C₂²	1	8	yes	complemented
141	#155622	C₂²	1	4	yes	complemented
142	#154763	C₂²	1	4	yes	complemented
143	#154763	C₂²	1	4	yes	complemented
144	#154674	C₂²	1	8	yes	complemented
145	#154674	C₂²	1	8	yes	complemented
146	#154670	C₂²	1	4	yes	complemented
147	#154670	C₂²	1	4	yes	complemented
148	#154655	C₂²	1	8	yes	complemented
149	#154634	C₂²	1	8	yes	complemented
150	#154467	C₂²	1	8	yes	complemented
151	#154446	C₂²	1	8	yes	complemented
152	#154270	C₂²	1	2	yes	complemented
153	#154255	C₂²	1	8	yes	complemented
154	#154255	C₂²	1	8	yes	complemented
155	#154251	C₂²	1	2	yes	complemented
156	#154248	C₂²	1	2	yes	complemented
157	#154247	C₂²	1	2	yes	complemented
158	#154200	C₂²	1	2	yes	complemented
159	#154200	C₂²	1	1	yes	characteristic, complemented
160	#154200	C₂²	1	2	yes	complemented
161	#154195	C₂²	1	2	yes	complemented
162	#154195	C₂²	1	2	yes	complemented
163	#154195	C₂²	1	1	yes	characteristic, complemented
164	#154195	C₂²	1	8	yes	complemented
165	#154195	C₂²	1	8	yes	complemented
166	#154195	C₂²	1	8	yes	complemented
167	#154194	C₂²	1	2	yes	complemented
168	#154194	C₂²	1	2	yes	complemented
169	#154194	C₂²	1	2	yes	complemented
170	#154194	C₂²	1	2	yes	complemented
171	#154194	C₂²	1	2	yes	complemented
172	#154096	C₂²	1	2	yes	complemented
173	#154094	C₂²	1	8	yes	complemented
174	#154094	C₂²	1	8	yes	complemented
175	#154094	C₂²	1	1	yes	characteristic, complemented
176	#154094	C₂²	1	2	yes	complemented
177	#154094	C₂²	1	1	yes	characteristic, complemented
178	#154094	C₂²	1	2	yes	complemented
179	#154094	C₂²	1	2	yes	complemented
180	#154094	C₂²	1	2	yes	complemented
181	#154094	C₂²	1	2	yes	complemented
182	#154088	C₂²	1	1	yes	characteristic, complemented
183	#154086	C₂²	1	1	yes	characteristic, complemented
184	#154086	C₂²	1	2	yes	complemented
185	#154077	C₂²	1	2	yes	complemented
186	#154077	C₂²	1	2	yes	complemented
187	#153851	C₂²	1	2	yes	complemented
188	#153851	C₂²	1	2	yes	complemented
189	#153827	C₂²	1	8	yes	complemented
190	#153827	C₂²	1	8	yes	complemented
191	C₂⁸	C₂³	1	2	yes	—
192	C₂⁸	C₂³	1	1	yes	characteristic
193	C₂⁸	C₂³	1	1	yes	characteristic
194	C₂⁵×D₄	D₄	1	32	yes	complemented
195	C₂⁵×D₄	C₂³	1	2	yes	—
196	C₂⁵×D₄	C₂³	1	2	yes	—
197	C₂⁵×D₄	C₂³	1	2	yes	—
198	C₂⁵×D₄	C₂³	1	4	yes	—
199	C₂⁵×D₄	C₂³	1	8	yes	—
200	C₂⁵×D₄	C₂³	1	2	yes	—
201	C₂⁵×D₄	C₂³	1	2	yes	—
202	C₂⁵×D₄	C₂³	1	8	yes	—
203	C₂⁵×D₄	C₂³	1	2	yes	—
204	C₂⁵×D₄	C₂³	1	2	yes	—
205	C₂⁵×D₄	C₂³	1	4	yes	—
206	C₂⁵×D₄	C₂³	1	4	yes	—
207	C₂⁵×D₄	C₂³	1	4	yes	—
208	C₂⁵×D₄	C₂³	1	1	yes	characteristic
209	C₂⁵×D₄	C₂³	1	1	yes	characteristic
210	C₂⁶×C₄	C₂³	1	2	yes	—
211	C₂⁶×C₄	C₂³	1	2	yes	—
212	C₂⁶×C₄	C₂³	1	2	yes	complemented
213	C₂²×D₄²	D₄	1	64	yes	complemented
214	C₂³×#127	C₂³	1	4	yes	—
215	C₂³×#127	C₂³	1	4	yes	—
216	C₂³×#121	C₂³	1	4	yes	—
217	C₂³×#121	C₂³	1	8	yes	—
218	C₂³×#121	C₂³	1	8	yes	—
219	C₂³×#121	C₂³	1	8	yes	—
220	C₂³×#121	C₂³	1	8	yes	—
221	C₂³×#121	C₂³	1	4	yes	complemented
222	C₂³×#121	C₂³	1	4	yes	complemented
223	C₂³×#121	C₂³	1	2	yes	complemented
224	C₂³×#120	D₄	1	16	yes	complemented
225	C₂³×#120	C₂³	1	2	yes	—
226	C₂³×#120	C₂³	1	4	yes	—
227	C₂³×#120	C₂³	1	8	yes	—
228	C₂³×#120	C₂³	1	4	yes	—
229	C₂³×#120	C₂³	1	8	yes	—
230	C₂³×#120	C₂³	1	4	yes	—
231	C₂³×#120	C₂³	1	2	yes	—
232	C₂³×#120	C₂³	1	2	yes	—
233	C₂³×#120	C₂³	1	1	yes	characteristic
234	C₂³×#120	C₂³	1	2	yes	—
235	C₂³×#120	C₂³	1	1	yes	characteristic
236	C₂³×#120	C₂³	1	2	yes	—
237	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
238	C₂³×#120	C₂³	1	4	yes	complemented
239	C₂³×#120	C₂³	1	2	yes	complemented
240	C₂³×#120	C₂³	1	4	yes	complemented
241	C₂³×#120	C₂³	1	1	yes	characteristic, complemented
242	C₂³×#120	C₂³	1	4	yes	complemented
243	C₂³×C₄×D₄	C₂³	1	8	yes	—
244	C₂³×C₄×D₄	C₂³	1	8	yes	—
245	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
246	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
247	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
249	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
250	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
252	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
254	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
255	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
256	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
258	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
259	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
260	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	complemented
261	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	complemented
262	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
263	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
264	C₂²×#394	C₂³	1	4	yes	—
265	C₂²×#394	C₂³	1	4	yes	complemented
266	C₂²×#394	C₂³	1	4	yes	complemented
267	C₂²×#394	C₂³	1	8	yes	complemented
268	C₂²×#394	C₂³	1	8	yes	complemented
269	C₂²×#394	C₂³	1	4	yes	complemented
270	C₂²×#394	C₂³	1	2	yes	complemented
271	C₂²×#394	C₂³	1	4	yes	complemented
272	C₂²×#394	C₂³	1	4	yes	complemented
273	C₂²×#394	C₂³	1	4	yes	complemented
274	C₂²×#394	C₂³	1	4	yes	complemented
275	C₂²×#392	C₂³	1	4	yes	—
276	C₂²×#392	C₂³	1	4	yes	complemented
277	C₂²×#392	C₂³	1	4	yes	complemented
278	C₂²×#392	C₂³	1	8	yes	complemented
279	C₂²×#392	C₂³	1	4	yes	complemented
280	C₂²×#392	C₂³	1	8	yes	complemented
281	C₂²×#392	C₂³	1	4	yes	complemented
282	C₂²×#392	C₂³	1	4	yes	complemented
283	C₂²×#392	C₂³	1	2	yes	complemented
284	C₂²×#392	C₂³	1	4	yes	complemented
285	C₂²×#392	C₂³	1	4	yes	complemented
286	C₂²×#386	C₂³	1	8	yes	—
287	C₂²×#386	C₂³	1	2	yes	—
288	C₂²×#386	C₂³	1	4	yes	—
289	C₂²×#386	C₂³	1	4	yes	—
290	C₂²×#386	C₂³	1	4	yes	—
291	C₂²×#386	C₂³	1	1	yes	characteristic
292	C₂²×#386	C₂³	1	2	yes	—
293	C₂²×#386	C₂³	1	8	yes	—
294	C₂²×#386	C₂³	1	2	yes	—
295	C₂²×#386	C₂³	1	4	yes	complemented
296	C₂²×#386	C₂³	1	2	yes	complemented
297	C₂²×#386	C₂³	1	4	yes	complemented
298	C₂²×#386	C₂³	1	2	yes	complemented
299	C₂²×#386	C₂³	1	4	yes	complemented
300	C₂²×#386	C₂³	1	4	yes	complemented
301	C₂²×#386	C₂³	1	8	yes	complemented
302	C₂²×#386	C₂³	1	8	yes	complemented
303	C₂²×#386	C₂³	1	8	yes	complemented
304	C₂²×#386	C₂³	1	8	yes	complemented
305	C₂²×#386	C₂³	1	8	yes	complemented
306	C₂²×#386	C₂³	1	8	yes	complemented
307	C₂²×#386	C₂³	1	8	yes	complemented
308	C₂²×#386	C₂³	1	8	yes	complemented
309	C₂²×#386	C₂³	1	4	yes	complemented
310	C₂²×#386	C₂³	1	4	yes	complemented
311	C₂²×#386	C₂³	1	8	yes	complemented
312	C₂²×#386	C₂³	1	2	yes	complemented
313	C₂²×#386	C₂³	1	4	yes	complemented
314	C₂²×#386	C₂³	1	4	yes	complemented
315	C₂²×#386	C₂³	1	4	yes	complemented
316	C₂²×#386	C₂³	1	2	yes	complemented
317	C₂²×#385	C₂³	1	2	yes	—
318	C₂²×#385	C₂³	1	1	yes	characteristic
319	C₂²×#385	C₂³	1	2	yes	—
320	C₂²×#385	C₂³	1	2	yes	—
321	C₂²×#385	C₂³	1	4	yes	complemented
322	C₂²×#385	C₂³	1	8	yes	complemented
323	C₂²×#385	C₂³	1	4	yes	complemented
324	C₂²×#380	C₂³	1	2	yes	complemented
325	C₂²×#380	C₂³	1	4	yes	complemented
326	C₂²×#379	C₂³	1	2	yes	—
327	C₂²×#379	C₂³	1	2	yes	—
328	C₂²×#379	C₂³	1	2	yes	—
329	C₂²×#379	C₂³	1	1	yes	characteristic
330	C₂²×#379	C₂³	1	2	yes	—
331	C₂²×#379	C₂³	1	2	yes	—
332	C₂²×#379	C₂³	1	2	yes	—
333	C₂²×#379	C₂³	1	2	yes	—
334	C₂²×#379	C₂³	1	2	yes	—
335	C₂²×#379	C₂³	1	2	yes	—
336	C₂²×#379	C₂³	1	2	yes	—
337	C₂²×#379	C₂³	1	2	yes	—
338	C₂²×#379	C₂³	1	1	yes	characteristic
339	C₂²×#379	C₂³	1	2	yes	—
340	C₂²×#379	C₂³	1	2	yes	—
341	C₂²×#379	C₂³	1	1	yes	characteristic
342	C₂²×#379	C₂³	1	2	yes	—
343	C₂²×#379	C₂³	1	2	yes	—
344	C₂²×#379	C₂³	1	2	yes	—
345	C₂²×#379	C₂³	1	2	yes	—
346	C₂²×#379	C₂³	1	2	yes	—
347	C₂²×#379	C₂³	1	2	yes	—
348	C₂²×#379	C₂³	1	2	yes	—
349	C₂²×#379	C₂³	1	1	yes	characteristic
350	C₂²×#379	C₂³	1	2	yes	—
351	C₂²×#379	C₂³	1	4	yes	complemented
352	C₂²×#379	C₂³	1	1	yes	characteristic, complemented
353	C₂²×#379	C₂³	1	1	yes	characteristic, complemented
354	C₂²×#379	C₂³	1	2	yes	complemented
355	C₂²×#379	C₂³	1	8	yes	complemented
356	C₂²×#379	C₂³	1	4	yes	complemented
357	C₂²×#379	C₂³	1	4	yes	complemented
358	C₂²×#379	C₂³	1	4	yes	complemented
359	C₂²×#379	C₂³	1	8	yes	complemented
360	C₂²×#379	C₂³	1	4	yes	complemented
361	C₂²×#379	C₂³	1	4	yes	complemented
362	C₂²×#379	C₂³	1	8	yes	complemented
363	C₂²×#379	C₂³	1	4	yes	complemented
364	C₂²×#379	C₂³	1	4	yes	complemented
365	C₂²×#379	C₂³	1	4	yes	complemented
366	C₂²×#379	C₂³	1	8	yes	complemented
367	C₂²×#379	C₂³	1	4	yes	complemented
368	C₂²×#379	C₂³	1	4	yes	complemented
369	C₂³×#95	C₂³	1	8	yes	complemented
370	C₂³×#95	C₂³	1	8	yes	complemented
371	#13867	D₄	1	32	yes	complemented
372	C₂×#1444	C₂³	1	8	yes	complemented
373	C₂×#1442	C₂³	1	8	yes	complemented
374	C₂×#1441	C₂³	1	8	yes	complemented
375	C₂×#1440	C₂³	1	4	yes	complemented
376	C₂×#1440	C₂³	1	8	yes	complemented
377	C₂×#1440	C₂³	1	2	yes	complemented
378	C₂×#1440	C₂³	1	4	yes	complemented
379	C₂×#1440	C₂³	1	8	yes	complemented
380	C₂×#1440	C₂³	1	8	yes	complemented
381	C₂×#1439	C₂³	1	8	yes	complemented
382	C₂×#1439	C₂³	1	4	yes	complemented
383	C₂×#1439	C₂³	1	4	yes	complemented
384	C₂×#1439	C₂³	1	4	yes	complemented
385	C₂×#1439	C₂³	1	8	yes	complemented
386	C₂×#1439	C₂³	1	8	yes	complemented
387	C₂×#1439	C₂³	1	8	yes	complemented
388	C₂×#1439	C₂³	1	8	yes	complemented
389	C₂×#1439	C₂³	1	8	yes	complemented
390	C₂×#1438	C₂³	1	8	yes	—
391	C₂×#1438	C₂³	1	4	yes	—
392	C₂×#1438	C₂³	1	4	yes	—
393	C₂×#1438	C₂³	1	8	yes	—
394	C₂×#1438	C₂³	1	4	yes	complemented
395	C₂×#1438	C₂³	1	8	yes	complemented
396	C₂×#1438	C₂³	1	4	yes	complemented
397	C₂×#1438	C₂³	1	4	yes	complemented
398	C₂×#1438	C₂³	1	2	yes	complemented
399	C₂×#1438	C₂³	1	4	yes	complemented
400	C₂×#1438	C₂³	1	8	yes	complemented
401	C₂×#1438	C₂³	1	8	yes	complemented
402	C₂×#1438	C₂³	1	8	yes	complemented
403	C₂×#1438	C₂³	1	8	yes	complemented
404	C₂×#1438	C₂³	1	8	yes	complemented
405	C₂×#1438	C₂³	1	4	yes	complemented
406	C₂×#1438	C₂³	1	4	yes	complemented
407	C₂×#1438	C₂³	1	8	yes	complemented
408	C₂×#1438	C₂³	1	4	yes	complemented
409	C₂×#1438	C₂³	1	4	yes	complemented
410	C₂×#1438	C₂³	1	4	yes	complemented
411	C₂×#1438	C₂³	1	8	yes	complemented
412	C₂×#1438	C₂³	1	8	yes	complemented
413	C₂×#1438	C₂³	1	8	yes	complemented
414	C₂×#1438	C₂³	1	8	yes	complemented
415	C₂×#1438	C₂³	1	8	yes	complemented
416	C₂×#1438	C₂³	1	4	yes	complemented
417	C₂×#1438	C₂³	1	4	yes	complemented
418	C₂×#1438	C₂³	1	4	yes	complemented
419	C₂×#1438	C₂³	1	4	yes	complemented
420	C₂×#1438	C₂³	1	4	yes	complemented
421	C₂×#1438	C₂³	1	8	yes	complemented
422	C₂×#1438	C₂³	1	8	yes	complemented
423	C₂×#1438	C₂³	1	8	yes	complemented
424	C₂×#1438	C₂³	1	8	yes	complemented
425	C₂×#1438	C₂³	1	4	yes	complemented
426	C₂×#1438	C₂³	1	4	yes	complemented
427	C₂×#1438	C₂³	1	8	yes	complemented
428	C₂×#1438	C₂³	1	8	yes	complemented
429	C₂×#1438	C₂³	1	4	yes	complemented
430	C₂×#1438	C₂³	1	8	yes	complemented
431	C₂×#1438	C₂³	1	4	yes	complemented
432	C₂×#1438	C₂³	1	4	yes	complemented
433	C₂×#1438	C₂³	1	8	yes	complemented
434	C₂×#1438	C₂³	1	8	yes	complemented
435	C₂×#1438	C₂³	1	8	yes	complemented
436	C₂×#1438	C₂³	1	8	yes	complemented
437	C₂×#1438	C₂³	1	4	yes	complemented
438	C₂×#1438	C₂³	1	8	yes	complemented
439	C₂×#1438	C₂³	1	4	yes	complemented
440	C₂×#1437	C₂³	1	4	yes	complemented
441	C₂×#1436	C₂³	1	8	yes	complemented
442	C₂×#1436	C₂³	1	4	yes	complemented
443	C₂×C₂²⋊#95	C₂³	1	2	yes	—
444	C₂×C₂²⋊#95	C₂³	1	2	yes	—
445	C₂×C₂²⋊#95	C₂³	1	2	yes	—
446	C₂×C₂²⋊#95	C₂³	1	2	yes	—
447	C₂×C₂²⋊#95	C₂³	1	2	yes	—
448	C₂×C₂²⋊#95	C₂³	1	2	yes	—
449	C₂×C₂²⋊#95	C₂³	1	2	yes	—
450	C₂×C₂²⋊#95	C₂³	1	2	yes	—
451	C₂×C₂²⋊#95	C₂³	1	2	yes	—
452	C₂×C₂²⋊#95	C₂³	1	2	yes	—
453	C₂×C₂²⋊#95	C₂³	1	2	yes	—
454	C₂×C₂²⋊#95	C₂³	1	2	yes	—
455	C₂×C₂²⋊#95	C₂³	1	2	yes	—
456	C₂×C₂²⋊#95	C₂³	1	2	yes	—
457	C₂×C₂²⋊#95	C₂³	1	2	yes	—
458	C₂×C₂²⋊#95	C₂³	1	1	yes	characteristic
459	C₂×C₂²⋊#95	C₂³	1	2	yes	—
460	C₂×C₂²⋊#95	C₂³	1	2	yes	—
461	C₂×C₂²⋊#95	C₂³	1	2	yes	—
462	C₂×C₂²⋊#95	C₂³	1	1	yes	characteristic
463	C₂×C₂²⋊#95	C₂³	1	2	yes	—
464	C₂×C₂²⋊#95	C₂³	1	2	yes	—
465	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
466	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
467	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
468	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
469	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
470	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
471	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
472	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
473	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
474	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
475	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
476	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
477	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
478	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
479	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
480	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
481	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
482	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
483	#7557	C₂³	1	8	yes	complemented
484	#7557	C₂³	1	8	yes	complemented
485	#7557	C₂³	1	8	yes	complemented
486	#7557	C₂³	1	8	yes	complemented
487	#7555	C₂³	1	8	yes	complemented
488	#7555	C₂³	1	8	yes	complemented
489	#7555	C₂³	1	8	yes	complemented
490	#7555	C₂³	1	8	yes	complemented
491	#7555	C₂³	1	8	yes	complemented
492	#7555	C₂³	1	4	yes	complemented
493	#7555	C₂³	1	8	yes	complemented
494	#7555	C₂³	1	8	yes	complemented
495	#7555	C₂³	1	8	yes	complemented
496	#7555	C₂³	1	8	yes	complemented
497	#7555	C₂³	1	8	yes	complemented
498	#7555	C₂³	1	4	yes	complemented
499	#7555	C₂³	1	8	yes	complemented
500	#7555	C₂³	1	8	yes	complemented
501	#7554	C₂³	1	8	yes	complemented
502	#7554	C₂³	1	4	yes	complemented
503	#7554	C₂³	1	4	yes	complemented
504	C₂⁷	C₂×D₄	1	16	yes	—
505	C₂⁷	C₂×D₄	1	8	yes	—
506	C₂⁷	C₂×D₄	1	16	yes	—
507	C₂⁷	C₂⁴	1	2	yes	—
508	C₂⁷	C₂⁴	1	1	yes	characteristic
509	C₂⁷	C₂⁴	1	2	yes	—
510	C₂⁷	C₂⁴	1	1	yes	characteristic
511	C₂⁷	C₂⁴	1	4	yes	—
512	C₂⁷	C₂⁴	1	2	yes	—
513	C₂⁷	C₂⁴	1	1	yes	characteristic
514	C₂⁷	C₂⁴	1	2	yes	—
515	C₂⁷	C₂⁴	1	4	yes	—
516	C₂⁷	C₂⁴	1	4	yes	—
517	C₂⁷	C₂⁴	1	1	yes	characteristic
518	C₂⁴×D₄	C₂×D₄	1	16	yes	—
519	C₂⁴×D₄	C₂×D₄	1	16	yes	—
520	C₂⁴×D₄	C₂×D₄	1	16	yes	—
521	C₂⁴×D₄	C₂×D₄	1	64	yes	—
522	C₂⁴×D₄	C₂×D₄	1	16	yes	—
523	C₂⁴×D₄	C₂×D₄	1	32	yes	—
524	C₂⁴×D₄	C₂×D₄	1	16	yes	—
525	C₂⁴×D₄	C₂×D₄	1	16	yes	—
526	C₂⁴×D₄	C₂×D₄	1	32	yes	—
527	C₂⁴×D₄	C₂×D₄	1	32	yes	—
528	C₂⁴×D₄	C₂×D₄	1	32	yes	—
529	C₂⁴×D₄	C₂×D₄	1	64	yes	—
530	C₂⁴×D₄	C₂×D₄	1	8	yes	—
531	C₂⁴×D₄	#41	1	16	yes	—
532	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
533	C₂⁴×D₄	C₂⁴	1	2	yes	—
534	C₂⁴×D₄	C₂⁴	1	4	yes	—
535	C₂⁴×D₄	C₂⁴	1	4	yes	—
536	C₂⁴×D₄	C₂⁴	1	4	yes	—
537	C₂⁴×D₄	C₂⁴	1	8	yes	—
538	C₂⁴×D₄	C₂⁴	1	4	yes	—
539	C₂⁴×D₄	C₂⁴	1	4	yes	—
540	C₂⁴×D₄	C₂⁴	1	4	yes	—
541	C₂⁴×D₄	C₂⁴	1	8	yes	—
542	C₂⁴×D₄	C₂⁴	1	4	yes	—
543	C₂⁴×D₄	C₂⁴	1	4	yes	—
544	C₂⁴×D₄	C₂⁴	1	4	yes	—
545	C₂⁴×D₄	C₂⁴	1	4	yes	—
546	C₂⁴×D₄	C₂⁴	1	4	yes	—
547	C₂⁴×D₄	C₂⁴	1	2	yes	—
548	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
549	C₂⁴×D₄	C₂⁴	1	2	yes	—
550	C₂⁴×D₄	C₂⁴	1	2	yes	—
551	C₂⁴×D₄	C₂⁴	1	4	yes	—
552	C₂⁴×D₄	C₂⁴	1	4	yes	—
553	C₂⁴×D₄	C₂⁴	1	2	yes	—
554	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
555	C₂⁵×C₄	C₂×D₄	1	16	yes	—
556	C₂⁵×C₄	C₂⁴	1	2	yes	—
557	C₂⁵×C₄	C₂⁴	1	2	yes	—
558	C₂⁵×C₄	C₂⁴	1	2	yes	—
559	C₂⁵×C₄	C₂⁴	1	4	yes	—
560	C₂⁵×C₄	C₂⁴	1	8	yes	—
561	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
562	C₂⁵×C₄	C₂⁴	1	4	yes	—
563	C₂⁵×C₄	C₂⁴	1	4	yes	—
564	C₂⁵×C₄	C₂⁴	1	4	yes	—
565	C₂⁵×C₄	C₂⁴	1	4	yes	—
566	C₂⁵×C₄	C₂⁴	1	4	yes	—
567	C₂⁵×C₄	C₂⁴	1	2	yes	—
568	C₂⁵×C₄	C₂⁴	1	2	yes	—
569	C₂²×#127	C₂×D₄	1	32	yes	—
570	C₂²×#121	C₂×D₄	1	64	yes	—
571	C₂²×#121	C₂×D₄	1	64	yes	—
572	C₂²×#120	C₂×D₄	1	64	yes	—
573	C₂²×#120	C₂×D₄	1	16	yes	—
574	C₂²×#120	C₂×D₄	1	32	yes	—
575	C₂²×#120	C₂×D₄	1	32	yes	—
576	C₂²×#120	C₂×D₄	1	32	yes	—
577	C₂²×#120	C₂×D₄	1	16	yes	—
578	C₂²×C₄×D₄	C₂×D₄	1	64	yes	—
579	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
580	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
581	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
582	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
583	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
584	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
585	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
586	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
587	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
588	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
589	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
590	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
591	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
592	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
595	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
596	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
597	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
598	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
600	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
601	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
602	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
603	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
604	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
605	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
606	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
607	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
608	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
610	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
611	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
613	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
614	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
615	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
616	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
617	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
618	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
619	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
620	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
621	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
622	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
623	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
624	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
625	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
626	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
627	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
628	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
629	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
630	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
631	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
633	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
634	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
637	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
638	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
639	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
640	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
642	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
643	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
644	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
645	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
646	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
647	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
648	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
649	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
650	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
651	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
652	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
653	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
654	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
655	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
656	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
657	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
658	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
659	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
661	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
662	C₂³×C₄²	C₂⁴	1	4	yes	—
663	C₂×#386	C₂×D₄	1	64	yes	complemented
664	C₂×#379	C₂×D₄	1	16	yes	complemented
665	C₂×#379	C₂×D₄	1	16	yes	complemented
666	C₂×#379	C₂×D₄	1	16	yes	complemented
667	C₂²×#95	C₂⁴	1	8	yes	—
668	C₂²×#95	C₂⁴	1	8	yes	—
669	C₂²×#95	C₂⁴	1	4	yes	—
670	C₂²×#95	C₂⁴	1	4	yes	—
671	C₂²×#95	C₂⁴	1	4	yes	—
672	C₂²×#95	C₂⁴	1	4	yes	—
673	C₂²×#95	C₂⁴	1	4	yes	—
674	C₂²×#95	C₂⁴	1	4	yes	—
675	C₂²×#95	C₂⁴	1	4	yes	—
676	C₂²×#95	C₂⁴	1	4	yes	—
677	C₂²×#95	C₂⁴	1	4	yes	—
678	C₂²×#95	C₂⁴	1	4	yes	—
679	C₂²×#95	C₂⁴	1	4	yes	—
680	C₂²×#95	C₂⁴	1	8	yes	—
681	C₂²×#95	C₂⁴	1	8	yes	—
682	C₂²×#95	C₂⁴	1	8	yes	—
683	C₂²×#95	C₂⁴	1	8	yes	—
684	C₂²×#95	C₂⁴	1	2	yes	—
685	C₂²×#95	C₂⁴	1	4	yes	—
686	C₂²×#95	C₂⁴	1	8	yes	—
687	C₂²×#95	C₂⁴	1	8	yes	—
688	C₂²×#95	C₂⁴	1	2	yes	—
689	C₂²×#95	C₂⁴	1	4	yes	—
690	C₂²×#95	C₂⁴	1	8	yes	—
691	C₂²×#95	C₂⁴	1	8	yes	—
692	C₂²×#95	C₂⁴	1	8	yes	—
693	C₂²×#95	C₂⁴	1	4	yes	—
694	C₂²×#95	C₂⁴	1	4	yes	—
695	C₂²×#95	C₂⁴	1	4	yes	—
696	C₂²×#95	C₂⁴	1	8	yes	—
697	C₂²×#95	C₂⁴	1	8	yes	—
698	C₂²×#95	C₂⁴	1	4	yes	—
699	C₂²×#95	C₂⁴	1	4	yes	—
700	C₂²×#95	C₂⁴	1	4	yes	—
701	C₂²×#95	C₂⁴	1	4	yes	—
702	C₂²×#95	C₂⁴	1	4	yes	—
703	C₂²×#95	C₂⁴	1	4	yes	—
704	#1438	C₂×D₄	1	64	yes	complemented
705	C₂²⋊#95	C₂×D₄	1	16	yes	complemented
706	C₂²⋊#95	C₂×D₄	1	16	yes	complemented
707	C₂⁶	#120	1	64	yes	complemented
708	C₂⁶	C₂²×D₄	1	8	yes	—
709	C₂⁶	C₂²×D₄	1	8	yes	—
710	C₂⁶	C₂²×D₄	1	8	yes	—
711	C₂⁶	C₂²×D₄	1	4	yes	—
712	C₂⁶	C₂²×D₄	1	4	yes	—
713	C₂⁶	C₂²×D₄	1	8	yes	—
714	C₂⁶	C₂²×D₄	1	8	yes	—
715	C₂⁶	C₂²×D₄	1	32	yes	—
716	C₂⁶	C₂²×D₄	1	8	yes	—
717	C₂⁶	C₂²×D₄	1	16	yes	—
718	C₂⁶	C₂²×D₄	1	8	yes	—
719	C₂⁶	C₂²×D₄	1	4	yes	—
720	C₂⁶	C₂²×D₄	1	16	yes	—
721	C₂⁶	C₂²×D₄	1	8	yes	—
722	C₂⁶	C₂²×D₄	1	8	yes	—
723	C₂⁶	C₂²×D₄	1	8	yes	—
724	C₂⁶	C₂²×D₄	1	8	yes	—
725	C₂⁶	C₂²×D₄	1	8	yes	—
726	C₂⁶	C₂²×D₄	1	16	yes	—
727	C₂⁶	C₂²×D₄	1	16	yes	—
728	C₂⁶	C₂²×D₄	1	4	yes	—
729	C₂⁶	C₂²×D₄	1	8	yes	—
730	C₂⁶	C₂×#41	1	8	yes	—
731	C₂⁶	C₂×#41	1	8	yes	—
732	C₂⁶	H(5,𝔽₂)	1	8	yes	—
733	C₂⁶	H(5,𝔽₂)	1	8	yes	—
734	C₂⁶	C₂⁵	1	1	yes	characteristic
735	C₂⁶	C₂⁵	1	1	yes	characteristic
736	C₂⁶	C₂⁵	1	4	yes	—
737	C₂⁶	C₂⁵	1	2	yes	—
738	C₂⁶	C₂⁵	1	1	yes	characteristic
739	C₂⁶	C₂⁵	1	2	yes	—
740	C₂⁶	C₂⁵	1	4	yes	—
741	C₂⁶	C₂⁵	1	2	yes	—
742	C₂⁶	C₂⁵	1	1	yes	characteristic
743	C₂³×D₄	#120	1	256	yes	complemented
744	C₂³×D₄	#121	1	128	yes	complemented
745	C₂³×D₄	C₂²×D₄	1	32	yes	—
746	C₂³×D₄	C₂²×D₄	1	32	yes	—
747	C₂³×D₄	C₂²×D₄	1	16	yes	—
748	C₂³×D₄	C₂²×D₄	1	16	yes	—
749	C₂³×D₄	C₂²×D₄	1	16	yes	—
750	C₂³×D₄	C₂²×D₄	1	16	yes	—
751	C₂³×D₄	C₂²×D₄	1	32	yes	—
752	C₂³×D₄	C₂²×D₄	1	16	yes	—
753	C₂³×D₄	C₂²×D₄	1	32	yes	—
754	C₂³×D₄	C₂²×D₄	1	16	yes	—
755	C₂³×D₄	C₂²×D₄	1	16	yes	—
756	C₂³×D₄	C₂²×D₄	1	16	yes	—
757	C₂³×D₄	C₂²×D₄	1	32	yes	—
758	C₂³×D₄	C₂²×D₄	1	32	yes	—
759	C₂³×D₄	C₂²×D₄	1	16	yes	—
760	C₂³×D₄	C₂²×D₄	1	16	yes	—
761	C₂³×D₄	C₂²×D₄	1	16	yes	—
762	C₂³×D₄	C₂²×D₄	1	32	yes	—
763	C₂³×D₄	C₂²×D₄	1	16	yes	—
764	C₂³×D₄	C₂²×D₄	1	16	yes	—
765	C₂³×D₄	C₂²×D₄	1	8	yes	—
766	C₂³×D₄	C₂²×D₄	1	16	yes	—
767	C₂³×D₄	C₂²×D₄	1	8	yes	—
768	C₂³×D₄	C₂×#41	1	16	yes	—
769	C₂³×D₄	C₂×#41	1	16	yes	—
770	C₂³×D₄	H(5,𝔽₂)	1	32	yes	—
771	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
772	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
773	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
774	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
775	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
776	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
777	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
778	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
779	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
780	C₂⁴×C₄	C₂²×D₄	1	16	yes	complemented
781	C₂⁴×C₄	C₂×#41	1	8	yes	—
782	C₂⁴×C₄	C₂⁵	1	4	yes	—
783	C₂⁴×C₄	C₂⁵	1	4	yes	—
784	C₂⁴×C₄	C₂⁵	1	2	yes	—
785	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
786	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
787	C₂⁴×C₄	C₂⁵	1	2	yes	—
788	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
789	C₂⁴×C₄	C₂⁵	1	4	yes	—
790	C₂⁴×C₄	C₂⁵	1	4	yes	—
791	C₂⁴×C₄	C₂⁵	1	4	yes	—
792	C₂⁴×C₄	C₂⁵	1	2	yes	—
793	C₂⁴×C₄	C₂⁵	1	4	yes	—
794	C₂⁴×C₄	C₂⁵	1	4	yes	—
795	C₂⁴×C₄	C₂⁵	1	2	yes	—
796	C₂⁴×C₄	C₂⁵	1	2	yes	—
797	C₂⁴×C₄	C₂⁵	1	4	yes	—
798	C₂×#120	#120	1	128	yes	complemented
799	C₂²×C₄⋊C₄	C₂²×D₄	1	32	yes	—
800	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
801	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
802	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
803	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
804	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
805	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
806	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
807	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
808	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
809	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
810	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
811	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
812	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
813	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
814	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
815	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
816	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
817	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
818	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
819	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	4	yes	—
820	C₂²×C₄²	C₂²×D₄	1	16	yes	—
821	C₂×#95	C₂²×D₄	1	32	yes	complemented
822	C₂×#95	C₂²×D₄	1	32	yes	complemented
823	C₂⁵	C₂×#120	1	16	yes	—
824	C₂⁵	C₂×#120	1	32	yes	—
825	C₂⁵	C₂×#120	1	64	yes	—
826	C₂⁵	C₂×#120	1	64	yes	—
827	C₂⁵	C₂×#120	1	16	yes	—
828	C₂⁵	C₂×#120	1	32	yes	—
829	C₂⁵	C₂×#120	1	32	yes	—
830	C₂⁵	C₂×#120	1	16	yes	—
831	C₂⁵	C₂×#121	1	32	yes	—
832	C₂⁵	C₂×#121	1	32	yes	—
833	C₂⁵	#534	1	32	yes	—
834	C₂⁵	D₄²	1	32	yes	—
835	C₂⁵	D₄²	1	32	yes	—
836	C₂⁵	#546	1	32	yes	—
837	C₂⁵	#546	1	32	yes	—
838	C₂⁵	C₂³×D₄	1	8	yes	—
839	C₂⁵	C₂³×D₄	1	4	yes	—
840	C₂⁵	C₂³×D₄	1	4	yes	—
841	C₂⁵	C₂³×D₄	1	16	yes	—
842	C₂⁵	C₂³×D₄	1	8	yes	—
843	C₂⁵	C₂³×D₄	1	2	yes	—
844	C₂⁵	C₂³×D₄	1	4	yes	—
845	C₂⁵	C₂³×D₄	1	8	yes	—
846	C₂⁵	C₂³×D₄	1	2	yes	—
847	C₂⁵	C₂³×D₄	1	8	yes	—
848	C₂⁵	C₂³×D₄	1	4	yes	—
849	C₂⁵	C₂³×D₄	1	4	yes	—
850	C₂⁵	C₂³×D₄	1	16	yes	—
851	C₂⁵	C₂³×D₄	1	4	yes	—
852	C₂⁵	C₂³×D₄	1	8	yes	—
853	C₂⁵	C₂³×D₄	1	4	yes	—
854	C₂⁵	C₂³×D₄	1	4	yes	—
855	C₂⁵	C₂³×D₄	1	4	yes	—
856	C₂⁵	C₂³×D₄	1	16	yes	—
857	C₂⁵	C₂³×D₄	1	4	yes	—
858	C₂⁵	C₂³×D₄	1	4	yes	—
859	C₂⁵	C₂³×D₄	1	2	yes	—
860	C₂⁵	C₂³×D₄	1	4	yes	—
861	C₂⁵	C₂³×D₄	1	4	yes	—
862	C₂⁵	C₂²×#41	1	8	yes	—
863	C₂⁵	C₂²×#41	1	4	yes	—
864	C₂⁵	C₂²×#41	1	4	yes	—
865	C₂⁵	C₂²×#41	1	4	yes	—
866	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
867	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
868	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
869	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
870	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
871	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
872	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
873	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
874	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
875	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
876	C₂⁵	#585	1	4	yes	—
877	C₂⁵	C₂⁶	1	1	yes	characteristic
878	C₂²×D₄	C₂×#120	1	64	yes	—
879	C₂²×D₄	C₂×#120	1	64	yes	—
880	C₂²×D₄	C₂×#120	1	64	yes	—
881	C₂²×D₄	C₂×#120	1	64	yes	—
882	C₂²×D₄	C₂×#120	1	64	yes	—
883	C₂²×D₄	C₂×#120	1	32	yes	—
884	C₂²×D₄	C₂×#121	1	64	yes	—
885	C₂²×D₄	C₂×#121	1	64	yes	—
886	C₂²×D₄	#534	1	64	yes	—
887	C₂²×D₄	D₄²	1	128	yes	—
888	C₂²×D₄	#546	1	128	yes	—
889	C₂³×C₄	C₂×#120	1	64	yes	—
890	C₂³×C₄	C₂×#121	1	32	yes	—
891	C₂³×C₄	C₂³×D₄	1	8	yes	—
892	C₂³×C₄	C₂³×D₄	1	8	yes	—
893	C₂³×C₄	C₂³×D₄	1	8	yes	—
894	C₂³×C₄	C₂³×D₄	1	8	yes	—
895	C₂³×C₄	C₂³×D₄	1	8	yes	—
896	C₂³×C₄	C₂³×D₄	1	4	yes	—
897	C₂³×C₄	C₂³×D₄	1	16	yes	—
898	C₂³×C₄	C₂³×D₄	1	16	yes	—
899	C₂³×C₄	C₂³×D₄	1	8	yes	—
900	C₂³×C₄	C₂³×D₄	1	8	yes	—
901	C₂³×C₄	C₂³×D₄	1	8	yes	—
902	C₂³×C₄	C₂³×D₄	1	16	yes	—
903	C₂³×C₄	C₂³×D₄	1	8	yes	—
904	C₂³×C₄	C₂²×#41	1	8	yes	—
905	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
906	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
907	C₂³×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
908	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	—
909	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
910	C₂×C₂²⋊C₄	D₄²	1	16	yes	complemented
911	C₂⁴	#2410	1	128	yes	complemented
912	C₂⁴	#2846	1	64	yes	complemented
913	C₂⁴	C₂²×#120	1	4	yes	—
914	C₂⁴	C₂²×#120	1	16	yes	—
915	C₂⁴	C₂²×#120	1	8	yes	—
916	C₂⁴	C₂²×#120	1	4	yes	—
917	C₂⁴	C₂²×#120	1	16	yes	—
918	C₂⁴	C₂²×#120	1	8	yes	—
919	C₂⁴	C₂²×#120	1	8	yes	—
920	C₂⁴	C₂²×#120	1	16	yes	—
921	C₂⁴	C₂²×#120	1	16	yes	—
922	C₂⁴	C₂²×#120	1	16	yes	—
923	C₂⁴	C₂²×#120	1	8	yes	—
924	C₂⁴	C₂²×#120	1	16	yes	—
925	C₂⁴	C₂²×#120	1	4	yes	—
926	C₂⁴	C₂²×#121	1	8	yes	—
927	C₂⁴	C₂²×#121	1	16	yes	—
928	C₂⁴	C₂²×#121	1	8	yes	—
929	C₂⁴	C₂²×#121	1	8	yes	—
930	C₂⁴	C₂×#534	1	8	yes	—
931	C₂⁴	C₂×#534	1	16	yes	—
932	C₂⁴	C₂×#534	1	8	yes	—
933	C₂⁴	C₂×#534	1	8	yes	—
934	C₂⁴	C₂×#534	1	16	yes	—
935	C₂⁴	C₂×D₄²	1	8	yes	—
936	C₂⁴	C₂×D₄²	1	32	yes	—
937	C₂⁴	C₂×D₄²	1	8	yes	—
938	C₂⁴	C₂×D₄²	1	8	yes	—
939	C₂⁴	C₂×D₄²	1	8	yes	—
940	C₂⁴	C₂×D₄²	1	8	yes	—
941	C₂⁴	C₂×D₄²	1	32	yes	—
942	C₂⁴	C₂×D₄²	1	8	yes	—
943	C₂⁴	C₂×D₄²	1	4	yes	—
944	C₂⁴	C₂×#546	1	8	yes	—
945	C₂⁴	C₂×#546	1	32	yes	—
946	C₂⁴	C₂×#546	1	8	yes	—
947	C₂⁴	C₂×#546	1	8	yes	—
948	C₂⁴	C₂×#546	1	8	yes	—
949	C₂⁴	C₂×#546	1	32	yes	—
950	C₂⁴	C₂×#546	1	8	yes	—
951	C₂⁴	C₂×#546	1	8	yes	—
952	C₂⁴	D₄×#41	1	8	yes	—
953	C₂⁴	#3481	1	4	yes	—
954	C₂⁴	#3484	1	4	yes	—
955	C₂⁴	#3484	1	8	yes	—
956	C₂⁴	#3484	1	16	yes	—
957	C₂⁴	#3484	1	32	yes	—
958	C₂⁴	#3484	1	16	yes	—
959	C₂⁴	#3484	1	32	yes	—
960	C₂⁴	#3485	1	4	yes	—
961	C₂⁴	#3488	1	8	yes	—
962	C₂⁴	#3496	1	8	yes	—
963	C₂⁴	#3496	1	8	yes	—
964	C₂⁴	#3513	1	8	yes	—
965	C₂⁴	#3519	1	8	yes	—
966	C₂⁴	#3532	1	4	yes	—
967	C₂⁴	#3534	1	8	yes	—
968	C₂⁴	#3537	1	4	yes	—
969	C₂⁴	C₂⁴×D₄	1	2	yes	—
970	C₂⁴	C₂⁴×D₄	1	4	yes	—
971	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
972	C₂⁴	C₂⁴×D₄	1	2	yes	—
973	C₂⁴	C₂³×#41	1	2	yes	—
974	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
975	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
976	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
977	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
978	C₂⁴	C₂²×H(5,𝔽₂)	1	8	yes	—
979	C₂⁴	C₂×#585	1	2	yes	—
980	C₂⁴	H(7,𝔽₂)	1	4	yes	—
981	C₂×D₄	#2410	1	256	yes	complemented
982	C₂²×C₄	C₂²×#120	1	8	yes	—
983	C₂²×C₄	C₂²×#120	1	16	yes	—
984	C₂²×C₄	C₂²×#120	1	16	yes	—
985	C₂²×C₄	C₂²×#120	1	16	yes	—
986	C₂²×C₄	C₂²×#121	1	16	yes	—
987	C₂²×C₄	C₂×#534	1	16	yes	—
988	C₂²×C₄	C₂×D₄²	1	32	yes	—
989	C₂²×C₄	C₂×D₄²	1	8	yes	complemented
990	C₂²×C₄	C₂×#546	1	32	yes	—
991	C₂³	C₂×#2410	1	16	yes	—
992	C₂³	C₂×#2410	1	32	yes	—
993	C₂³	C₂×#2410	1	16	yes	—
994	C₂³	C₂×#2410	1	32	yes	—
995	C₂³	C₂×#2410	1	16	yes	—
996	C₂³	#34980	1	16	yes	—
997	C₂³	#34980	1	32	yes	—
998	C₂³	#35347	1	8	yes	—
999	C₂³	D₄×#120	1	32	yes	—
1000	C₂³	D₄×#120	1	32	yes	—
1001	C₂³	D₄×#121	1	16	yes	—
1002	C₂³	#36152	1	32	yes	—
1003	C₂³	#36152	1	32	yes	—
1004	C₂³	#36214	1	16	yes	—
1005	C₂³	C₂×#2846	1	8	yes	—
1006	C₂³	C₂×#2846	1	16	yes	—
1007	C₂³	#37672	1	16	yes	—
1008	C₂³	#38076	1	16	yes	—
1009	C₂³	#58990	1	8	yes	—
1010	C₂³	#58994	1	16	yes	—
1011	C₂³	#59089	1	8	yes	—
1012	C₂³	C₂³×#120	1	1	yes	characteristic
1013	C₂³	C₂³×#120	1	4	yes	—
1014	C₂³	C₂³×#120	1	2	yes	—
1015	C₂³	C₂³×#121	1	2	yes	—
1016	C₂³	C₂²×#534	1	2	yes	—
1017	C₂³	C₂²×#534	1	4	yes	—
1018	C₂³	C₂²×D₄²	1	1	yes	characteristic
1019	C₂³	C₂²×D₄²	1	8	yes	—
1020	C₂³	C₂²×D₄²	1	2	yes	—
1021	C₂³	C₂²×D₄²	1	2	yes	—
1022	C₂³	C₂²×#546	1	8	yes	—
1023	C₂³	C₂²×#546	1	2	yes	—
1024	C₂³	C₂²×#546	1	2	yes	—
1025	C₂³	C₂×D₄×#41	1	2	yes	—
1026	C₂³	C₂×#3481	1	1	yes	characteristic
1027	C₂³	C₂×#3532	1	1	yes	characteristic
1028	C₂³	C₂×#3534	1	2	yes	—
1029	C₂³	C₂×#3537	1	1	yes	characteristic
1030	C₂³	C₂×#3484	1	2	yes	—
1031	C₂³	C₂×#3484	1	8	yes	—
1032	C₂³	C₂×#3484	1	4	yes	—
1033	C₂³	C₂×#3484	1	8	yes	—
1034	C₂³	C₂×#3484	1	1	yes	characteristic
1035	C₂³	C₂×#3484	1	4	yes	—
1036	C₂³	C₂×#3496	1	2	yes	—
1037	C₂³	C₂×#3496	1	2	yes	—
1038	C₂³	C₂×#3513	1	2	yes	—
1039	C₂³	C₂×#3519	1	2	yes	—
1040	C₂³	C₂×#3485	1	1	yes	characteristic
1041	C₂³	C₂×#3488	1	2	yes	—
1042	C₂³	#62842	1	2	yes	—
1043	C₂³	#62842	1	4	yes	—
1044	C₂³	#62892	1	8	yes	—
1045	C₂³	#62892	1	8	yes	—
1046	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
1047	C₂³	D₄×H(5,𝔽₂)	1	4	yes	—
1048	C₂³	D₄×H(5,𝔽₂)	1	4	yes	—
1049	C₂³	#62983	1	8	yes	—
1050	C₂³	#62987	1	8	yes	—
1051	C₂³	#63011	1	4	yes	—
1052	C₂³	#63011	1	4	yes	—
1053	C₂³	#63012	1	8	yes	—
1054	C₂×C₄	C₂×#2410	1	32	yes	—
1055	C₂²	#612433	1	32	yes	complemented
1056	C₂²	#649101	1	16	yes	complemented
1057	C₂²	C₂²×#2410	1	4	yes	—
1058	C₂²	C₂²×#2410	1	2	yes	—
1059	C₂²	C₂×#34980	1	2	yes	—
1060	C₂²	C₂×#34980	1	4	yes	—
1061	C₂²	C₂×#35347	1	1	yes	characteristic
1062	C₂²	C₂×D₄×#120	1	4	yes	—
1063	C₂²	C₂×D₄×#120	1	4	yes	—
1064	C₂²	C₂×D₄×#121	1	2	yes	—
1065	C₂²	C₂×#36152	1	4	yes	—
1066	C₂²	C₂×#36152	1	4	yes	—
1067	C₂²	C₂×#36214	1	2	yes	—
1068	C₂²	#7630442	1	1	yes	characteristic
1069	C₂²	#7631286	1	2	yes	—
1070	C₂²	#7631287	1	4	yes	—
1071	C₂²	#7631287	1	4	yes	—
1072	C₂²	#7631288	1	4	yes	—
1073	C₂²	#7631581	1	2	yes	—
1074	C₂²	C₂²×#2846	1	1	yes	characteristic
1075	C₂²	C₂×#37672	1	2	yes	—
1076	C₂²	C₂×#38076	1	2	yes	—
1077	C₂²	#7644628	1	4	yes	—
1078	C₂²	#7652802	1	4	yes	—
1079	C₂²	#7652802	1	4	yes	—
1080	C₂²	D₄×#534	1	4	yes	—
1081	C₂²	#7664581	1	4	yes	—
1082	C₂²	C₂×#58990	1	1	yes	characteristic
1083	C₂²	C₂×#59089	1	1	yes	characteristic
1084	C₂²	C₂×#58994	1	2	yes	—
1085	C₂²	#7675391	1	4	yes	—
1086	C₂²	#7675416	1	4	yes	—
1087	C₂²	#7684106	1	8	yes	—
1088	C₂²	#7684117	1	8	yes	—
1089	C₂²	#7684300	1	8	yes	—
1090	C₂²	#7684390	1	8	yes	—
1091	C₂²	D₄³	1	4	yes	—
1092	C₂²	D₄×#546	1	8	yes	—
1093	C₂²	#7699549	1	4	yes	—
1094	C₂²	#7733149	1	2	yes	—
1095	C₂²	#7733246	1	2	yes	—
1096	C₂²	#7966197	1	8	yes	—
1097	C₂²	#7966198	1	4	yes	—
1098	C₂²	#7967779	1	4	yes	—
1099	C₂	#72219693	1	2	yes	—
1100	C₂	#72232151	1	4	yes	—
1101	C₂	#72233558	1	4	yes	—
1102	C₂	#72233570	1	4	yes	—
1103	C₂	D₄×#2410	1	4	yes	—
1104	C₂	#72237372	1	1	yes	characteristic
1105	C₂	#72237437	1	2	yes	—
1106	C₂	#72261376	1	1	yes	characteristic
1107	C₂	C₂×#649101	1	1	yes	characteristic
1108	C₂	C₂×#612433	1	2	yes	—
1109	C₂	#72330155	1	4	yes	—
1110	C₂	#72330175	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₁
UCS	C₁ ◁ C₂⁵ ◁ G
LECS	G ▷ C₂⁵ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72335006	C₂	semidirect
2. #72335004	C₂	semidirect
3. #72334997	C₂	semidirect
4. #72334995	C₂	semidirect
5. #72334992	C₂	semidirect
6. #72334303	C₂	semidirect
7. #72332555	C₂	semidirect
8. #72332554	C₂	semidirect
9. #72316737	C₂	semidirect
10. #72298498	C₂	semidirect
11. #72298452	C₂	semidirect
12. #72293969	C₂	semidirect
13. #72287882	C₂	semidirect
14. #72286425	C₂	semidirect
15. C₂×#612433	C₂	semidirect
16. C₂×#612433	C₂	semidirect
17. C₂×#649101	C₂	semidirect
18. C₂×#612459	C₂	semidirect
19. #72252092	C₂	semidirect
20. #72251013	C₂	semidirect
21. #72250308	C₂	semidirect
22. #72250297	C₂	semidirect
23. #72250275	C₂	semidirect
24. C₂²×#13867	C₂	semidirect
25. C₂⁴×D₄²	C₂	semidirect
38. C₂⁵×C₂²⋊C₄	C₂²	semidirect
39. C₂²×#2847	C₂²	semidirect
40. C₂²×#2846	C₂²	semidirect
41. C₂²×#2846	C₂²	semidirect
42. C₂²×#2846	C₂²	semidirect
44. C₂²×#2410	C₂²	semidirect
45. C₂²×#2410	C₂²	semidirect
46. C₂²×#2410	C₂²	semidirect
47. C₂²×#2410	C₂²	semidirect
48. C₂²×#2410	C₂²	semidirect
49. C₂²×#2410	C₂²	semidirect
50. C₂³×#386	C₂²	semidirect
51. C₂³×#379	C₂²	semidirect
52. C₂³×#379	C₂²	semidirect
53. C₂³×#379	C₂²	semidirect
54. C₂×#15313	C₂²	semidirect
55. C₂×#15310	C₂²	semidirect
56. C₂×#15274	C₂²	semidirect
57. C₂×#15273	C₂²	semidirect
58. C₂×#15266	C₂²	semidirect
59. C₂×#15257	C₂²	semidirect
60. C₂×#14757	C₂²	semidirect
61. C₂×#14747	C₂²	semidirect
62. C₂×#14725	C₂²	semidirect
63. C₂×#14725	C₂²	semidirect
64. C₂×#14725	C₂²	semidirect
65. C₂×#14724	C₂²	semidirect
66. C₂×#14724	C₂²	semidirect
67. C₂×#14724	C₂²	semidirect
68. C₂×#14724	C₂²	semidirect
69. C₂×#14724	C₂²	semidirect
70. C₂×#14724	C₂²	semidirect
71. C₂×#14724	C₂²	semidirect
72. C₂×#14724	C₂²	semidirect
73. C₂×#14716	C₂²	semidirect
74. C₂×#14716	C₂²	semidirect
75. C₂×#14716	C₂²	semidirect
76. C₂×#14715	C₂²	semidirect
77. C₂×#14715	C₂²	semidirect
78. C₂×#14715	C₂²	semidirect
79. C₂×#14715	C₂²	semidirect
80. C₂×#14715	C₂²	semidirect
81. C₂×#14715	C₂²	semidirect
82. C₂×#14715	C₂²	semidirect
83. C₂×#14715	C₂²	semidirect
84. C₂×#14694	C₂²	semidirect
85. C₂×#14694	C₂²	semidirect
86. C₂×#14694	C₂²	semidirect
87. C₂×#14693	C₂²	semidirect
88. C₂×#14693	C₂²	semidirect
89. C₂×#14679	C₂²	semidirect
90. C₂×#14679	C₂²	semidirect
91. C₂×#14679	C₂²	semidirect
92. C₂×#14134	C₂²	semidirect
93. C₂×#14134	C₂²	semidirect
94. C₂×#14134	C₂²	semidirect
95. C₂×#14023	C₂²	semidirect
96. C₂×#13975	C₂²	semidirect
97. C₂×#13877	C₂²	semidirect
98. C₂×#13877	C₂²	semidirect
102. C₂×#13867	C₂²	semidirect
103. C₂×#13867	C₂²	semidirect
104. C₂×#13867	C₂²	semidirect
105. C₂×#13867	C₂²	semidirect
106. C₂×#13867	C₂²	semidirect
107. C₂×#13867	C₂²	semidirect
108. C₂×#13867	C₂²	semidirect
109. C₂×#13867	C₂²	semidirect
110. C₂×#13867	C₂²	semidirect
111. C₂×#13867	C₂²	semidirect
112. C₂×#13867	C₂²	semidirect
113. C₂×#13867	C₂²	semidirect
114. C₂×#13867	C₂²	semidirect
115. C₂×#13867	C₂²	semidirect
116. C₂×#13867	C₂²	semidirect
117. C₂×#13867	C₂²	semidirect
118. C₂×#13867	C₂²	semidirect
119. C₂×#13867	C₂²	semidirect
120. C₂²×#1438	C₂²	semidirect
121. C₂²×C₂²⋊#95	C₂²	semidirect
122. C₂²×C₂²⋊#95	C₂²	semidirect
123. #158327	C₂²	semidirect
124. #158327	C₂²	semidirect
125. #158314	C₂²	semidirect
126. #156854	C₂²	semidirect
127. #156854	C₂²	semidirect
128. #156824	C₂²	semidirect
129. #156824	C₂²	semidirect
130. #156731	C₂²	semidirect
131. #156731	C₂²	semidirect
132. #156706	C₂²	semidirect
133. #156706	C₂²	semidirect
134. #156688	C₂²	semidirect
135. #156688	C₂²	semidirect
136. #156688	C₂²	semidirect
137. #156688	C₂²	semidirect
138. #156688	C₂²	semidirect
139. #156684	C₂²	semidirect
140. #156684	C₂²	semidirect
141. #155622	C₂²	semidirect
142. #154763	C₂²	semidirect
143. #154763	C₂²	semidirect
144. #154674	C₂²	semidirect
145. #154674	C₂²	semidirect
146. #154670	C₂²	semidirect
147. #154670	C₂²	semidirect
148. #154655	C₂²	semidirect
149. #154634	C₂²	semidirect
150. #154467	C₂²	semidirect
151. #154446	C₂²	semidirect
152. #154270	C₂²	semidirect
153. #154255	C₂²	semidirect
154. #154255	C₂²	semidirect
155. #154251	C₂²	semidirect
156. #154248	C₂²	semidirect
157. #154247	C₂²	semidirect
158. #154200	C₂²	semidirect
159. #154200	C₂²	semidirect
160. #154200	C₂²	semidirect
161. #154195	C₂²	semidirect
162. #154195	C₂²	semidirect
163. #154195	C₂²	semidirect
164. #154195	C₂²	semidirect
165. #154195	C₂²	semidirect
166. #154195	C₂²	semidirect
167. #154194	C₂²	semidirect
168. #154194	C₂²	semidirect
169. #154194	C₂²	semidirect
170. #154194	C₂²	semidirect
171. #154194	C₂²	semidirect
172. #154096	C₂²	semidirect
173. #154094	C₂²	semidirect
174. #154094	C₂²	semidirect
175. #154094	C₂²	semidirect
176. #154094	C₂²	semidirect
177. #154094	C₂²	semidirect
178. #154094	C₂²	semidirect
179. #154094	C₂²	semidirect
180. #154094	C₂²	semidirect
181. #154094	C₂²	semidirect
182. #154088	C₂²	semidirect
183. #154086	C₂²	semidirect
184. #154086	C₂²	semidirect
185. #154077	C₂²	semidirect
186. #154077	C₂²	semidirect
187. #153851	C₂²	semidirect
188. #153851	C₂²	semidirect
189. #153827	C₂²	semidirect
190. #153827	C₂²	semidirect
194. C₂⁵×D₄	D₄	semidirect
212. C₂⁶×C₄	C₂³	semidirect
213. C₂²×D₄²	D₄	semidirect
221. C₂³×#121	C₂³	semidirect
222. C₂³×#121	C₂³	semidirect
223. C₂³×#121	C₂³	semidirect
224. C₂³×#120	D₄	semidirect
237. C₂³×#120	C₂³	semidirect
238. C₂³×#120	C₂³	semidirect
239. C₂³×#120	C₂³	semidirect
240. C₂³×#120	C₂³	semidirect
241. C₂³×#120	C₂³	semidirect
242. C₂³×#120	C₂³	semidirect
257. C₂⁴×C₂²⋊C₄	C₂³	semidirect
258. C₂⁴×C₂²⋊C₄	C₂³	semidirect
259. C₂⁴×C₂²⋊C₄	C₂³	semidirect
260. C₂⁴×C₂²⋊C₄	C₂³	semidirect
261. C₂⁴×C₂²⋊C₄	C₂³	semidirect
262. C₂⁴×C₂²⋊C₄	C₂³	semidirect
265. C₂²×#394	C₂³	semidirect
266. C₂²×#394	C₂³	semidirect
267. C₂²×#394	C₂³	semidirect
268. C₂²×#394	C₂³	semidirect
269. C₂²×#394	C₂³	semidirect
270. C₂²×#394	C₂³	semidirect
271. C₂²×#394	C₂³	semidirect
272. C₂²×#394	C₂³	semidirect
273. C₂²×#394	C₂³	semidirect
274. C₂²×#394	C₂³	semidirect
276. C₂²×#392	C₂³	semidirect
277. C₂²×#392	C₂³	semidirect
278. C₂²×#392	C₂³	semidirect
279. C₂²×#392	C₂³	semidirect
280. C₂²×#392	C₂³	semidirect
281. C₂²×#392	C₂³	semidirect
282. C₂²×#392	C₂³	semidirect
283. C₂²×#392	C₂³	semidirect
284. C₂²×#392	C₂³	semidirect
285. C₂²×#392	C₂³	semidirect
295. C₂²×#386	C₂³	semidirect
296. C₂²×#386	C₂³	semidirect
297. C₂²×#386	C₂³	semidirect
298. C₂²×#386	C₂³	semidirect
299. C₂²×#386	C₂³	semidirect
300. C₂²×#386	C₂³	semidirect
301. C₂²×#386	C₂³	semidirect
302. C₂²×#386	C₂³	semidirect
303. C₂²×#386	C₂³	semidirect
304. C₂²×#386	C₂³	semidirect
305. C₂²×#386	C₂³	semidirect
306. C₂²×#386	C₂³	semidirect
307. C₂²×#386	C₂³	semidirect
308. C₂²×#386	C₂³	semidirect
309. C₂²×#386	C₂³	semidirect
310. C₂²×#386	C₂³	semidirect
311. C₂²×#386	C₂³	semidirect
312. C₂²×#386	C₂³	semidirect
313. C₂²×#386	C₂³	semidirect
314. C₂²×#386	C₂³	semidirect
315. C₂²×#386	C₂³	semidirect
316. C₂²×#386	C₂³	semidirect
321. C₂²×#385	C₂³	semidirect
322. C₂²×#385	C₂³	semidirect
323. C₂²×#385	C₂³	semidirect
324. C₂²×#380	C₂³	semidirect
325. C₂²×#380	C₂³	semidirect
351. C₂²×#379	C₂³	semidirect
352. C₂²×#379	C₂³	semidirect
353. C₂²×#379	C₂³	semidirect
354. C₂²×#379	C₂³	semidirect
355. C₂²×#379	C₂³	semidirect
356. C₂²×#379	C₂³	semidirect
357. C₂²×#379	C₂³	semidirect
358. C₂²×#379	C₂³	semidirect
359. C₂²×#379	C₂³	semidirect
360. C₂²×#379	C₂³	semidirect
361. C₂²×#379	C₂³	semidirect
362. C₂²×#379	C₂³	semidirect
363. C₂²×#379	C₂³	semidirect
364. C₂²×#379	C₂³	semidirect
365. C₂²×#379	C₂³	semidirect
366. C₂²×#379	C₂³	semidirect
367. C₂²×#379	C₂³	semidirect
368. C₂²×#379	C₂³	semidirect
369. C₂³×#95	C₂³	semidirect
370. C₂³×#95	C₂³	semidirect
371. #13867	D₄	semidirect
372. C₂×#1444	C₂³	semidirect
373. C₂×#1442	C₂³	semidirect
374. C₂×#1441	C₂³	semidirect
375. C₂×#1440	C₂³	semidirect
376. C₂×#1440	C₂³	semidirect
377. C₂×#1440	C₂³	semidirect
378. C₂×#1440	C₂³	semidirect
379. C₂×#1440	C₂³	semidirect
380. C₂×#1440	C₂³	semidirect
381. C₂×#1439	C₂³	semidirect
382. C₂×#1439	C₂³	semidirect
383. C₂×#1439	C₂³	semidirect
384. C₂×#1439	C₂³	semidirect
385. C₂×#1439	C₂³	semidirect
386. C₂×#1439	C₂³	semidirect
387. C₂×#1439	C₂³	semidirect
388. C₂×#1439	C₂³	semidirect
389. C₂×#1439	C₂³	semidirect
394. C₂×#1438	C₂³	semidirect
395. C₂×#1438	C₂³	semidirect
396. C₂×#1438	C₂³	semidirect
397. C₂×#1438	C₂³	semidirect
398. C₂×#1438	C₂³	semidirect
399. C₂×#1438	C₂³	semidirect
400. C₂×#1438	C₂³	semidirect
401. C₂×#1438	C₂³	semidirect
402. C₂×#1438	C₂³	semidirect
403. C₂×#1438	C₂³	semidirect
404. C₂×#1438	C₂³	semidirect
405. C₂×#1438	C₂³	semidirect
406. C₂×#1438	C₂³	semidirect
407. C₂×#1438	C₂³	semidirect
408. C₂×#1438	C₂³	semidirect
409. C₂×#1438	C₂³	semidirect
410. C₂×#1438	C₂³	semidirect
411. C₂×#1438	C₂³	semidirect
412. C₂×#1438	C₂³	semidirect
413. C₂×#1438	C₂³	semidirect
414. C₂×#1438	C₂³	semidirect
415. C₂×#1438	C₂³	semidirect
416. C₂×#1438	C₂³	semidirect
417. C₂×#1438	C₂³	semidirect
418. C₂×#1438	C₂³	semidirect
419. C₂×#1438	C₂³	semidirect
420. C₂×#1438	C₂³	semidirect
421. C₂×#1438	C₂³	semidirect
422. C₂×#1438	C₂³	semidirect
423. C₂×#1438	C₂³	semidirect
424. C₂×#1438	C₂³	semidirect
425. C₂×#1438	C₂³	semidirect
426. C₂×#1438	C₂³	semidirect
427. C₂×#1438	C₂³	semidirect
428. C₂×#1438	C₂³	semidirect
429. C₂×#1438	C₂³	semidirect
430. C₂×#1438	C₂³	semidirect
431. C₂×#1438	C₂³	semidirect
432. C₂×#1438	C₂³	semidirect
433. C₂×#1438	C₂³	semidirect
434. C₂×#1438	C₂³	semidirect
435. C₂×#1438	C₂³	semidirect
436. C₂×#1438	C₂³	semidirect
437. C₂×#1438	C₂³	semidirect
438. C₂×#1438	C₂³	semidirect
439. C₂×#1438	C₂³	semidirect
440. C₂×#1437	C₂³	semidirect
441. C₂×#1436	C₂³	semidirect
442. C₂×#1436	C₂³	semidirect
465. C₂×C₂²⋊#95	C₂³	semidirect
466. C₂×C₂²⋊#95	C₂³	semidirect
467. C₂×C₂²⋊#95	C₂³	semidirect
468. C₂×C₂²⋊#95	C₂³	semidirect
469. C₂×C₂²⋊#95	C₂³	semidirect
470. C₂×C₂²⋊#95	C₂³	semidirect
471. C₂×C₂²⋊#95	C₂³	semidirect
472. C₂×C₂²⋊#95	C₂³	semidirect
473. C₂×C₂²⋊#95	C₂³	semidirect
474. C₂×C₂²⋊#95	C₂³	semidirect
475. C₂×C₂²⋊#95	C₂³	semidirect
476. C₂×C₂²⋊#95	C₂³	semidirect
477. C₂×C₂²⋊#95	C₂³	semidirect
478. C₂×C₂²⋊#95	C₂³	semidirect
479. C₂×C₂²⋊#95	C₂³	semidirect
480. C₂×C₂²⋊#95	C₂³	semidirect
481. C₂×C₂²⋊#95	C₂³	semidirect
482. C₂×C₂²⋊#95	C₂³	semidirect
483. #7557	C₂³	semidirect
484. #7557	C₂³	semidirect
485. #7557	C₂³	semidirect
486. #7557	C₂³	semidirect
487. #7555	C₂³	semidirect
488. #7555	C₂³	semidirect
489. #7555	C₂³	semidirect
490. #7555	C₂³	semidirect
491. #7555	C₂³	semidirect
492. #7555	C₂³	semidirect
493. #7555	C₂³	semidirect
494. #7555	C₂³	semidirect
495. #7555	C₂³	semidirect
496. #7555	C₂³	semidirect
497. #7555	C₂³	semidirect
498. #7555	C₂³	semidirect
499. #7555	C₂³	semidirect
500. #7555	C₂³	semidirect
501. #7554	C₂³	semidirect
502. #7554	C₂³	semidirect
503. #7554	C₂³	semidirect
586. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
663. C₂×#386	C₂×D₄	semidirect
664. C₂×#379	C₂×D₄	semidirect
665. C₂×#379	C₂×D₄	semidirect
666. C₂×#379	C₂×D₄	semidirect
704. #1438	C₂×D₄	semidirect
705. C₂²⋊#95	C₂×D₄	semidirect
706. C₂²⋊#95	C₂×D₄	semidirect
707. C₂⁶	#120	semidirect
743. C₂³×D₄	#120	semidirect
744. C₂³×D₄	#121	semidirect
780. C₂⁴×C₄	C₂²×D₄	semidirect
798. C₂×#120	#120	semidirect
813. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
814. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
815. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
816. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
817. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
821. C₂×#95	C₂²×D₄	semidirect
822. C₂×#95	C₂²×D₄	semidirect
910. C₂×C₂²⋊C₄	D₄²	semidirect
911. C₂⁴	#2410	semidirect
912. C₂⁴	#2846	semidirect
981. C₂×D₄	#2410	semidirect
989. C₂²×C₄	C₂×D₄²	semidirect
1055. C₂²	#612433	semidirect
1056. C₂²	#649101	semidirect

Maximal subgroups

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

subgroup	index
#72335006	2
#72335004	2
#72334997	2
#72334995	2
#72334992	2
#72334303	2
#72332555	2
#72332554	2
#72316737	2
#72298498	2
#72298452	2
#72293969	2
#72287882	2
#72286425	2
C₂×#612433	2
C₂×#649101	2
C₂×#612459	2
#72252092	2
#72251013	2
#72250308	2
#72250297	2
#72250275	2
C₂²×#13867	2
C₂⁴×D₄²	2