Subgroups — #72334324

Order 2048.

At least 6972 conjugacy classes of subgroups; only the 10624 normal subgroups are shown.

The subgroup lattice has 936 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72334312	C₂	1	1	yes	maximal, characteristic, complemented
2	C₄×#13867	C₂	1	1	yes	maximal, characteristic, complemented
3	#72316956	C₂	1	4	yes	maximal, complemented
4	#72299209	C₂	1	2	yes	maximal, complemented
5	#72298505	C₂	1	2	yes	maximal, complemented
6	#72298478	C₂	1	2	yes	maximal, complemented
7	C₂×#612431	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#759292	C₂	1	1	yes	maximal, characteristic, complemented
9	#72296143	C₂	1	1	yes	maximal, characteristic, complemented
10	#72279059	C₂	1	4	yes	maximal, complemented
11	C₂×#612801	C₂	1	2	yes	maximal, complemented
12	#72278211	C₂	1	8	yes	maximal, complemented
13	C₂³×#2433	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#649038	C₂	1	4	yes	maximal, complemented
15	#72252085	C₂	1	4	yes	maximal, complemented
16	#72252082	C₂	1	8	yes	maximal, complemented
17	#72236727	C₂	1	4	yes	maximal, complemented
18	#72233926	C₂	1	8	yes	maximal, complemented
19	C₂×#612424	C₂	1	4	yes	maximal, complemented
20	C₂⁴×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁶×D₄	C₂²	1	2	yes	—
22	C₂⁶×D₄	C₂²	1	1	yes	characteristic
23	C₂⁶×D₄	C₂²	1	1	yes	characteristic, complemented
24	C₂³×D₄²	C₂²	1	4	yes	—
25	C₂³×D₄²	C₂²	1	4	yes	—
26	C₂³×D₄²	C₂²	1	4	yes	complemented
27	C₂³×D₄²	C₂²	1	4	yes	complemented
28	C₂⁴×#127	C₂²	1	1	yes	characteristic, complemented
29	C₂⁴×#127	C₂²	1	2	yes	complemented
30	C₂⁴×#121	C₂²	1	1	yes	characteristic
31	C₂⁴×#121	C₂²	1	2	yes	complemented
32	C₂⁴×#121	C₂²	1	1	yes	characteristic, complemented
33	C₂⁴×#121	C₂²	1	1	yes	characteristic, complemented
34	C₂⁴×#120	C₂²	1	2	yes	—
35	C₂⁴×#120	C₂²	1	2	yes	complemented
36	C₂⁴×#120	C₂²	1	4	yes	complemented
37	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#2847	C₂²	1	2	yes	complemented
40	C₂²×#2846	C₂²	1	8	yes	complemented
41	C₂²×#2433	C₂²	1	2	yes	—
42	C₂²×#2433	C₂²	1	4	yes	complemented
43	C₂²×#2433	C₂²	1	2	yes	complemented
44	C₂²×#2433	C₂²	1	4	yes	complemented
45	C₂²×#2433	C₂²	1	4	yes	complemented
46	C₂²×#2433	C₂²	1	2	yes	complemented
47	C₂²×#2433	C₂²	1	2	yes	complemented
48	C₂²×#2433	C₂²	1	8	yes	complemented
49	C₂²×#2408	C₂²	1	2	yes	complemented
50	C₂²×#2403	C₂²	1	2	yes	—
51	C₂²×#2403	C₂²	1	4	yes	complemented
52	C₂²×#2403	C₂²	1	16	yes	complemented
53	C₂³×#392	C₂²	1	4	yes	complemented
54	C₂³×#390	C₂²	1	2	yes	complemented
55	C₂³×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
56	C₂×#16252	C₂²	1	4	yes	complemented
57	C₂×#15310	C₂²	1	16	yes	complemented
58	C₂×#15258	C₂²	1	16	yes	complemented
59	C₂×#15142	C₂²	1	8	yes	complemented
60	C₂×#15124	C₂²	1	8	yes	complemented
61	C₂×#15124	C₂²	1	4	yes	complemented
62	C₂×#15123	C₂²	1	4	yes	complemented
63	C₂×#14722	C₂²	1	4	yes	complemented
64	C₂×#14719	C₂²	1	2	yes	complemented
65	C₂×#14716	C₂²	1	4	yes	complemented
66	C₂×#14716	C₂²	1	2	yes	complemented
67	C₂×#14716	C₂²	1	4	yes	complemented
68	C₂×#14715	C₂²	1	16	yes	complemented
69	C₂×#14715	C₂²	1	32	yes	complemented
70	C₂×#14715	C₂²	1	8	yes	complemented
71	C₂×#14715	C₂²	1	8	yes	complemented
72	C₂×#14715	C₂²	1	8	yes	complemented
73	C₂×#14715	C₂²	1	8	yes	complemented
74	C₂×#14715	C₂²	1	16	yes	complemented
75	C₂×#14698	C₂²	1	2	yes	complemented
76	C₂×#14698	C₂²	1	4	yes	complemented
77	C₂×#14694	C₂²	1	8	yes	complemented
78	C₂×#14680	C₂²	1	1	yes	characteristic, complemented
79	C₂×#14679	C₂²	1	4	yes	complemented
80	C₂×#14137	C₂²	1	2	yes	complemented
81	C₂×#14137	C₂²	1	2	yes	complemented
82	C₂×#14025	C₂²	1	8	yes	complemented
83	C₂×#13967	C₂²	1	4	yes	complemented
84	C₂×#13902	C₂²	1	2	yes	complemented
85	C₂×#13902	C₂²	1	2	yes	complemented
86	C₂×#13902	C₂²	1	8	yes	complemented
87	C₂×#13902	C₂²	1	4	yes	complemented
88	C₂×#13902	C₂²	1	2	yes	complemented
89	C₂×#13902	C₂²	1	4	yes	complemented
90	C₂×#13872	C₂²	1	2	yes	complemented
91	C₂×#13867	C₂²	1	2	yes	—
92	C₂×#13867	C₂²	1	4	yes	complemented
93	C₂×#13867	C₂²	1	2	yes	complemented
94	C₂×#13867	C₂²	1	16	yes	complemented
95	C₂×C₄×#379	C₂²	1	2	yes	complemented
96	C₂×C₄×#379	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₄×#386	C₂²	1	4	yes	complemented
98	#158314	C₂²	1	16	yes	complemented
99	#156706	C₂²	1	32	yes	complemented
100	#156706	C₂²	1	16	yes	complemented
101	#156684	C₂²	1	32	yes	complemented
102	#156684	C₂²	1	32	yes	complemented
103	#154729	C₂²	1	16	yes	complemented
104	#154671	C₂²	1	16	yes	complemented
105	#154634	C₂²	1	16	yes	complemented
106	#154402	C₂²	1	8	yes	complemented
107	#154384	C₂²	1	8	yes	complemented
108	#154384	C₂²	1	4	yes	complemented
109	#154320	C₂²	1	4	yes	complemented
110	#154255	C₂²	1	4	yes	complemented
111	#154195	C₂²	1	8	yes	complemented
112	#154195	C₂²	1	8	yes	complemented
113	#154195	C₂²	1	16	yes	complemented
114	#154094	C₂²	1	4	yes	complemented
115	#154094	C₂²	1	4	yes	complemented
116	#154094	C₂²	1	4	yes	complemented
117	#153868	C₂²	1	4	yes	complemented
118	#153854	C₂²	1	2	yes	complemented
119	#153851	C₂²	1	2	yes	complemented
120	#153842	C₂²	1	8	yes	complemented
121	#153827	C₂²	1	4	yes	complemented
122	#153759	C₂²	1	2	yes	complemented
123	#153749	C₂²	1	4	yes	complemented
124	#153749	C₂²	1	2	yes	complemented
125	C₄×#1438	C₂²	1	4	yes	complemented
126	C₄×C₂²⋊#95	C₂²	1	2	yes	complemented
127	C₂⁸	C₂³	1	2	yes	—
128	C₂⁸	C₂³	1	2	yes	—
129	C₂⁵×D₄	D₄	1	16	yes	complemented
130	C₂⁵×D₄	C₂³	1	1	yes	characteristic
131	C₂⁵×D₄	C₂³	1	1	yes	characteristic
132	C₂⁵×D₄	C₂³	1	2	yes	—
133	C₂⁵×D₄	C₂³	1	1	yes	characteristic
134	C₂⁵×D₄	C₂³	1	8	yes	—
135	C₂⁵×D₄	C₂³	1	2	yes	—
136	C₂⁵×D₄	C₂³	1	1	yes	characteristic
137	C₂⁵×D₄	C₂³	1	4	yes	—
138	C₂⁵×D₄	C₂³	1	2	yes	—
139	C₂⁵×D₄	C₂³	1	2	yes	—
140	C₂⁵×D₄	C₂³	1	2	yes	—
141	C₂⁵×D₄	C₂³	1	2	yes	—
142	C₂⁵×D₄	C₂³	1	4	yes	—
143	C₂⁵×D₄	C₂³	1	8	yes	—
144	C₂⁵×D₄	C₂³	1	2	yes	—
145	C₂⁵×D₄	C₂³	1	2	yes	—
146	C₂⁵×D₄	C₂³	1	2	yes	—
147	C₂⁵×D₄	C₂³	1	2	yes	—
148	C₂⁵×D₄	C₂³	1	2	yes	—
149	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
150	C₂⁵×D₄	C₂³	1	8	yes	complemented
151	C₂⁶×C₄	C₂³	1	1	yes	characteristic
152	C₂⁶×C₄	C₂³	1	2	yes	—
153	C₂⁶×C₄	C₂³	1	1	yes	characteristic
154	C₂²×D₄²	D₄	1	64	yes	complemented
155	C₂³×#127	C₂³	1	4	yes	—
156	C₂³×#127	C₂³	1	4	yes	—
157	C₂³×#127	C₂³	1	4	yes	—
158	C₂³×#127	C₂³	1	8	yes	complemented
159	C₂³×#127	C₂³	1	4	yes	complemented
160	C₂³×#127	C₂³	1	4	yes	complemented
161	C₂³×#121	D₄	1	16	yes	complemented
162	C₂³×#121	C₂³	1	8	yes	—
163	C₂³×#121	C₂³	1	4	yes	—
164	C₂³×#121	C₂³	1	2	yes	—
165	C₂³×#121	C₂³	1	2	yes	—
166	C₂³×#121	C₂³	1	2	yes	—
167	C₂³×#121	C₂³	1	4	yes	—
168	C₂³×#121	C₂³	1	2	yes	—
169	C₂³×#121	C₂³	1	8	yes	—
170	C₂³×#121	C₂³	1	2	yes	—
171	C₂³×#121	C₂³	1	2	yes	—
172	C₂³×#121	C₂³	1	2	yes	complemented
173	C₂³×#121	C₂³	1	2	yes	complemented
174	C₂³×#121	C₂³	1	4	yes	complemented
175	C₂³×#120	C₂³	1	8	yes	—
176	C₂³×#120	C₂³	1	8	yes	—
177	C₂³×#120	C₂³	1	4	yes	—
178	C₂³×#120	C₂³	1	8	yes	—
179	C₂³×#120	C₂³	1	8	yes	—
180	C₂³×#120	C₂³	1	8	yes	—
181	C₂³×#120	C₂³	1	4	yes	—
182	C₂³×#120	C₂³	1	8	yes	—
183	C₂³×#120	C₂³	1	8	yes	—
184	C₂³×#120	C₂³	1	16	yes	complemented
185	C₂³×#120	C₂³	1	8	yes	complemented
186	C₂³×#120	C₂³	1	32	yes	complemented
187	C₂³×C₄×D₄	D₄	1	16	yes	complemented
188	C₂³×C₄×D₄	C₂³	1	4	yes	—
189	C₂³×C₄×D₄	C₂³	1	2	yes	—
190	C₂³×C₄×D₄	C₂³	1	2	yes	—
191	C₂³×C₄×D₄	C₂³	1	2	yes	—
192	C₂³×C₄×D₄	C₂³	1	4	yes	—
193	C₂³×C₄×D₄	C₂³	1	2	yes	—
194	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
197	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
200	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
201	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	complemented
204	C₂⁴×C₂²⋊C₄	C₂³	1	8	yes	complemented
205	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
206	C₂⁴×C₄²	C₂³	1	2	yes	complemented
207	C₂×#2433	D₄	1	32	yes	complemented
208	C₂²×#394	C₂³	1	4	yes	complemented
209	C₂²×#392	C₂³	1	8	yes	—
210	C₂²×#392	C₂³	1	8	yes	—
211	C₂²×#392	C₂³	1	16	yes	complemented
212	C₂²×#392	C₂³	1	4	yes	complemented
213	C₂²×#392	C₂³	1	8	yes	complemented
214	C₂²×#392	C₂³	1	8	yes	complemented
215	C₂²×#392	C₂³	1	16	yes	complemented
216	C₂²×#392	C₂³	1	32	yes	complemented
217	C₂²×#392	C₂³	1	32	yes	complemented
218	C₂²×#392	C₂³	1	32	yes	complemented
219	C₂²×#392	C₂³	1	8	yes	complemented
220	C₂²×#392	C₂³	1	32	yes	complemented
221	C₂²×#390	C₂³	1	8	yes	—
222	C₂²×#390	C₂³	1	4	yes	—
223	C₂²×#390	C₂³	1	4	yes	complemented
224	C₂²×#390	C₂³	1	4	yes	complemented
225	C₂²×#390	C₂³	1	8	yes	complemented
226	C₂²×#390	C₂³	1	4	yes	complemented
227	C₂²×#390	C₂³	1	4	yes	complemented
228	C₂²×#390	C₂³	1	8	yes	complemented
229	C₂²×#390	C₂³	1	8	yes	complemented
230	C₂²×#386	C₂³	1	4	yes	—
231	C₂²×#386	C₂³	1	4	yes	—
232	C₂²×#386	C₂³	1	8	yes	—
233	C₂²×#386	C₂³	1	4	yes	—
234	C₂²×#386	C₂³	1	8	yes	—
235	C₂²×#386	C₂³	1	4	yes	—
236	C₂²×#386	C₂³	1	32	yes	complemented
237	C₂²×#386	C₂³	1	8	yes	complemented
238	C₂²×#386	C₂³	1	16	yes	complemented
239	C₂²×#386	C₂³	1	8	yes	complemented
240	C₂²×#380	C₂³	1	2	yes	—
241	C₂²×#380	C₂³	1	2	yes	complemented
242	C₂²×#380	C₂³	1	4	yes	complemented
243	C₂²×#380	C₂³	1	2	yes	complemented
244	C₂²×#379	C₂³	1	2	yes	—
245	C₂²×#379	C₂³	1	8	yes	—
246	C₂²×#379	C₂³	1	8	yes	—
247	C₂²×#379	C₂³	1	2	yes	—
248	C₂²×#379	C₂³	1	4	yes	—
249	C₂²×#379	C₂³	1	8	yes	—
250	C₂²×#379	C₂³	1	4	yes	complemented
251	C₂²×#379	C₂³	1	32	yes	complemented
252	C₂²×#379	C₂³	1	16	yes	complemented
253	C₂²×#379	C₂³	1	16	yes	complemented
254	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
255	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
256	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	—
257	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
258	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
259	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
260	C₂²×C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
261	C₂²×C₄×C₂²⋊C₄	C₂³	1	2	yes	complemented
262	C₂³×#95	C₂³	1	2	yes	complemented
263	#13867	D₄	1	32	yes	complemented
264	C₂×#1441	C₂³	1	4	yes	complemented
265	C₂×#1439	C₂³	1	4	yes	complemented
266	C₂×#1439	C₂³	1	8	yes	complemented
267	C₂×#1439	C₂³	1	8	yes	complemented
268	C₂×#1439	C₂³	1	8	yes	complemented
269	C₂×#1438	C₂³	1	8	yes	—
270	C₂×#1438	C₂³	1	8	yes	—
271	C₂×#1438	C₂³	1	32	yes	complemented
272	C₂×#1438	C₂³	1	8	yes	complemented
273	C₂×#1438	C₂³	1	8	yes	complemented
274	C₂×#1438	C₂³	1	16	yes	complemented
275	C₂×#1438	C₂³	1	16	yes	complemented
276	C₂×#1438	C₂³	1	32	yes	complemented
277	C₂×#1438	C₂³	1	32	yes	complemented
278	C₂×#1438	C₂³	1	32	yes	complemented
279	C₂×#1438	C₂³	1	16	yes	complemented
280	C₂×#1438	C₂³	1	32	yes	complemented
281	C₂×#1438	C₂³	1	8	yes	complemented
282	C₂×#1438	C₂³	1	32	yes	complemented
283	C₂×#1438	C₂³	1	16	yes	complemented
284	C₂×#1438	C₂³	1	8	yes	complemented
285	C₂×#1437	C₂³	1	8	yes	complemented
286	C₂×#1437	C₂³	1	8	yes	complemented
287	C₂×#1437	C₂³	1	16	yes	complemented
288	C₂×#1436	C₂³	1	8	yes	complemented
289	C₂×C₄⋊#95	C₂³	1	4	yes	complemented
290	C₂×C₄⋊#95	C₂³	1	4	yes	complemented
291	C₂×C₄⋊#95	C₂³	1	8	yes	complemented
292	C₂×C₂²⋊#95	C₂³	1	2	yes	—
293	C₂×C₂²⋊#95	C₂³	1	4	yes	—
294	C₂×C₂²⋊#95	C₂³	1	2	yes	—
295	C₂×C₂²⋊#95	C₂³	1	8	yes	—
296	C₂×C₂²⋊#95	C₂³	1	4	yes	—
297	C₂×C₂²⋊#95	C₂³	1	4	yes	—
298	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
299	C₂×C₂²⋊#95	C₂³	1	32	yes	complemented
300	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
301	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
302	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
303	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
304	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
305	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
306	C₂×C₄×#95	C₂³	1	8	yes	complemented
307	#7557	C₂³	1	8	yes	complemented
308	#7557	C₂³	1	8	yes	complemented
309	#7555	C₂³	1	32	yes	complemented
310	#7555	C₂³	1	8	yes	complemented
311	#7555	C₂³	1	8	yes	complemented
312	#7555	C₂³	1	16	yes	complemented
313	#7555	C₂³	1	32	yes	complemented
314	#7554	C₂³	1	8	yes	complemented
315	C₂⁷	C₂×D₄	1	16	yes	—
316	C₂⁷	C₂⁴	1	1	yes	characteristic
317	C₂⁷	C₂⁴	1	2	yes	—
318	C₂⁷	C₂⁴	1	2	yes	—
319	C₂⁷	C₂⁴	1	2	yes	—
320	C₂⁷	C₂⁴	1	2	yes	—
321	C₂⁷	C₂⁴	1	4	yes	—
322	C₂⁷	C₂⁴	1	1	yes	characteristic
323	C₂⁷	C₂⁴	1	4	yes	—
324	C₂⁷	C₂⁴	1	8	yes	—
325	C₂⁴×D₄	C₂×D₄	1	16	yes	—
326	C₂⁴×D₄	C₂×D₄	1	8	yes	—
327	C₂⁴×D₄	C₂×D₄	1	16	yes	—
328	C₂⁴×D₄	C₂×D₄	1	8	yes	—
329	C₂⁴×D₄	C₂×D₄	1	16	yes	—
330	C₂⁴×D₄	C₂×D₄	1	64	yes	—
331	C₂⁴×D₄	C₂×D₄	1	8	yes	—
332	C₂⁴×D₄	C₂×D₄	1	16	yes	—
333	C₂⁴×D₄	C₂×D₄	1	16	yes	—
334	C₂⁴×D₄	C₂×D₄	1	16	yes	—
335	C₂⁴×D₄	C₂×D₄	1	16	yes	—
336	C₂⁴×D₄	C₂×D₄	1	32	yes	—
337	C₂⁴×D₄	C₂×D₄	1	16	yes	—
338	C₂⁴×D₄	C₂×D₄	1	8	yes	complemented
339	C₂⁴×D₄	C₂×D₄	1	32	yes	complemented
340	C₂⁴×D₄	C₂⁴	1	4	yes	—
341	C₂⁴×D₄	C₂⁴	1	2	yes	—
342	C₂⁴×D₄	C₂⁴	1	2	yes	—
343	C₂⁴×D₄	C₂⁴	1	2	yes	—
344	C₂⁴×D₄	C₂⁴	1	4	yes	—
345	C₂⁴×D₄	C₂⁴	1	2	yes	—
346	C₂⁴×D₄	C₂⁴	1	2	yes	—
347	C₂⁴×D₄	C₂⁴	1	4	yes	—
348	C₂⁴×D₄	C₂⁴	1	4	yes	—
349	C₂⁴×D₄	C₂⁴	1	8	yes	—
350	C₂⁴×D₄	C₂⁴	1	8	yes	—
351	C₂⁴×D₄	C₂⁴	1	2	yes	—
352	C₂⁴×D₄	C₂⁴	1	8	yes	—
353	C₂⁴×D₄	C₂⁴	1	2	yes	—
354	C₂⁴×D₄	C₂⁴	1	4	yes	—
355	C₂⁴×D₄	C₂⁴	1	2	yes	—
356	C₂⁴×D₄	C₂⁴	1	8	yes	—
357	C₂⁴×D₄	C₂⁴	1	16	yes	—
358	C₂⁴×D₄	C₂⁴	1	4	yes	—
359	C₂⁴×D₄	C₂⁴	1	2	yes	—
360	C₂⁴×D₄	C₂⁴	1	2	yes	—
361	C₂⁴×D₄	C₂⁴	1	16	yes	—
362	C₂⁴×D₄	C₂⁴	1	8	yes	—
363	C₂⁴×D₄	C₂⁴	1	16	yes	—
364	C₂⁵×C₄	C₂×D₄	1	8	yes	—
365	C₂⁵×C₄	C₂×D₄	1	8	yes	—
366	C₂⁵×C₄	C₂×D₄	1	8	yes	—
367	C₂⁵×C₄	C₂×D₄	1	8	yes	complemented
368	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
369	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
370	C₂⁵×C₄	C₂⁴	1	2	yes	—
371	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
372	C₂⁵×C₄	C₂⁴	1	2	yes	—
373	C₂⁵×C₄	C₂⁴	1	2	yes	—
374	C₂⁵×C₄	C₂⁴	1	8	yes	—
375	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
376	C₂⁵×C₄	C₂⁴	1	4	yes	—
377	C₂⁵×C₄	C₂⁴	1	2	yes	—
378	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
379	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
380	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
381	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
382	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
383	C₂²×#127	C₂×D₄	1	32	yes	complemented
384	C₂²×#127	C₂×D₄	1	32	yes	complemented
385	C₂²×#121	C₂×D₄	1	16	yes	—
386	C₂²×#121	C₂×D₄	1	16	yes	—
387	C₂²×#121	C₂×D₄	1	32	yes	—
388	C₂²×#121	C₂×D₄	1	32	yes	complemented
389	C₂²×#121	C₂×D₄	1	16	yes	complemented
390	C₂²×#121	C₂×D₄	1	16	yes	complemented
391	C₂²×#121	C₂×D₄	1	64	yes	complemented
392	C₂²×#121	C₂×D₄	1	16	yes	complemented
393	C₂²×#120	C₂×D₄	1	64	yes	—
394	C₂²×#120	C₂×D₄	1	64	yes	complemented
395	C₂²×#120	C₂×D₄	1	64	yes	complemented
396	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
397	C₂²×C₄×D₄	C₂×D₄	1	16	yes	—
398	C₂²×C₄×D₄	C₂×D₄	1	32	yes	—
399	C₂²×C₄×D₄	C₂×D₄	1	16	yes	complemented
400	C₂²×C₄×D₄	C₂×D₄	1	16	yes	complemented
401	C₂²×C₄×D₄	C₂×D₄	1	32	yes	complemented
402	C₂³×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
403	C₂³×C₄⋊C₄	C₂×D₄	1	8	yes	complemented
404	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
405	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
406	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
407	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
409	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
410	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
411	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
412	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
413	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
414	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
415	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
416	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
417	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
418	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
419	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
420	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
421	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
422	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
423	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
424	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
425	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
426	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
427	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
428	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
429	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
430	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
431	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
432	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
433	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
434	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
435	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
436	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
437	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
438	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
439	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
440	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
441	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
442	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
443	C₂³×C₂²⋊C₄	C₂⁴	1	32	yes	—
444	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
445	C₂³×C₄²	C₂×D₄	1	8	yes	complemented
446	C₂³×C₄²	C₂⁴	1	4	yes	—
447	C₂³×C₄²	C₂⁴	1	2	yes	—
448	C₂³×C₄²	C₂⁴	1	4	yes	—
449	C₂³×C₄²	C₂⁴	1	4	yes	—
450	C₂³×C₄²	C₂⁴	1	2	yes	—
451	C₂×#392	C₂×D₄	1	64	yes	complemented
452	C₂×#390	C₂×D₄	1	32	yes	complemented
453	C₂×#386	C₂×D₄	1	64	yes	complemented
454	C₂×#379	C₂×D₄	1	32	yes	complemented
455	C₂×#379	C₂×D₄	1	16	yes	complemented
456	C₂×C₄×C₂²⋊C₄	C₂×D₄	1	16	yes	complemented
457	C₂²×#95	C₂⁴	1	4	yes	—
458	C₂²×#95	C₂⁴	1	4	yes	—
459	C₂²×#95	C₂⁴	1	4	yes	—
460	C₂²×#95	C₂⁴	1	4	yes	—
461	C₂²×#95	C₂⁴	1	8	yes	—
462	C₂²×#95	C₂⁴	1	4	yes	—
463	C₂²×#95	C₂⁴	1	8	yes	—
464	C₂²×#95	C₂⁴	1	16	yes	—
465	C₂²×#95	C₂⁴	1	16	yes	—
466	C₂²×#95	C₂⁴	1	32	yes	—
467	C₂²×#95	C₂⁴	1	16	yes	—
468	C₂²×#95	C₂⁴	1	16	yes	—
469	C₂²×#95	C₂⁴	1	4	yes	—
470	C₂²×#95	C₂⁴	1	4	yes	—
471	C₂²×#95	C₂⁴	1	4	yes	—
472	C₂²×#95	C₂⁴	1	8	yes	—
473	#1438	C₂×D₄	1	64	yes	complemented
474	C₂²⋊#95	C₂×D₄	1	32	yes	complemented
475	C₂⁶	C₂²×D₄	1	8	yes	—
476	C₂⁶	C₂²×D₄	1	16	yes	—
477	C₂⁶	C₂²×D₄	1	4	yes	—
478	C₂⁶	C₂²×D₄	1	8	yes	—
479	C₂⁶	C₂²×D₄	1	8	yes	—
480	C₂⁶	C₂²×D₄	1	8	yes	—
481	C₂⁶	C₂²×D₄	1	32	yes	—
482	C₂⁶	C₂²×D₄	1	16	yes	—
483	C₂⁶	C₂²×D₄	1	4	yes	—
484	C₂⁶	C₂²×D₄	1	4	yes	—
485	C₂⁶	C₂²×D₄	1	4	yes	—
486	C₂⁶	C₂²×D₄	1	8	yes	—
487	C₂⁶	C₂²×D₄	1	16	yes	—
488	C₂⁶	C₂²×D₄	1	32	yes	—
489	C₂⁶	H(5,𝔽₂)	1	8	yes	—
490	C₂⁶	C₂⁵	1	4	yes	—
491	C₂⁶	C₂⁵	1	4	yes	—
492	C₂⁶	C₂⁵	1	4	yes	—
493	C₂⁶	C₂⁵	1	2	yes	—
494	C₂⁶	C₂⁵	1	4	yes	—
495	C₂⁶	C₂⁵	1	1	yes	characteristic
496	C₂⁶	C₂⁵	1	1	yes	characteristic
497	C₂⁶	C₂⁵	1	1	yes	characteristic
498	C₂³×D₄	#120	1	64	yes	complemented
499	C₂³×D₄	#120	1	128	yes	complemented
500	C₂³×D₄	#127	1	64	yes	complemented
501	C₂³×D₄	C₂²×D₄	1	16	yes	—
502	C₂³×D₄	C₂²×D₄	1	16	yes	—
503	C₂³×D₄	C₂²×D₄	1	8	yes	—
504	C₂³×D₄	C₂²×D₄	1	16	yes	—
505	C₂³×D₄	C₂²×D₄	1	32	yes	—
506	C₂³×D₄	C₂²×D₄	1	16	yes	—
507	C₂³×D₄	C₂²×D₄	1	8	yes	—
508	C₂³×D₄	C₂²×D₄	1	16	yes	—
509	C₂³×D₄	C₂²×D₄	1	8	yes	—
510	C₂³×D₄	C₂²×D₄	1	8	yes	—
511	C₂³×D₄	C₂²×D₄	1	16	yes	—
512	C₂³×D₄	C₂²×D₄	1	16	yes	—
513	C₂³×D₄	C₂²×D₄	1	32	yes	—
514	C₂³×D₄	C₂²×D₄	1	32	yes	—
515	C₂³×D₄	C₂²×D₄	1	32	yes	—
516	C₂³×D₄	C₂²×D₄	1	8	yes	—
517	C₂³×D₄	C₂²×D₄	1	16	yes	—
518	C₂³×D₄	C₂²×D₄	1	8	yes	—
519	C₂³×D₄	C₂²×D₄	1	32	yes	—
520	C₂³×D₄	C₂²×D₄	1	16	yes	—
521	C₂³×D₄	C₂²×D₄	1	8	yes	—
522	C₂³×D₄	C₂²×D₄	1	8	yes	—
523	C₂³×D₄	C₂²×D₄	1	16	yes	—
524	C₂³×D₄	C₂²×D₄	1	16	yes	—
525	C₂³×D₄	C₂²×D₄	1	16	yes	—
526	C₂³×D₄	C₂²×D₄	1	16	yes	—
527	C₂³×D₄	C₂²×D₄	1	32	yes	—
528	C₂³×D₄	C₂²×D₄	1	8	yes	complemented
529	C₂³×D₄	C₂²×D₄	1	64	yes	complemented
530	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
531	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
532	C₂⁴×C₄	#120	1	64	yes	complemented
533	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
534	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
535	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
536	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
537	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
538	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
539	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
540	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
541	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
542	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
543	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
544	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
545	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
546	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
547	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
548	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
549	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
550	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
551	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
552	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
553	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
554	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
555	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
556	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
557	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
558	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
559	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
560	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
561	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
562	C₂⁴×C₄	C₂²×D₄	1	16	yes	complemented
563	C₂⁴×C₄	H(5,𝔽₂)	1	8	yes	—
564	C₂⁴×C₄	C₂⁵	1	8	yes	—
565	C₂⁴×C₄	C₂⁵	1	4	yes	—
566	C₂⁴×C₄	C₂⁵	1	8	yes	—
567	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
568	C₂⁴×C₄	C₂⁵	1	2	yes	—
569	C₂⁴×C₄	C₂⁵	1	4	yes	—
570	C₂⁴×C₄	C₂⁵	1	2	yes	—
571	C₂⁴×C₄	C₂⁵	1	8	yes	—
572	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
573	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
574	C₂⁴×C₄	C₂⁵	1	2	yes	—
575	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
576	C₂×#121	#120	1	128	yes	complemented
577	C₂×C₄×D₄	#120	1	128	yes	complemented
578	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
579	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
580	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	—
581	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
582	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	—
583	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	—
584	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
585	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
586	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
587	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
588	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
589	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
590	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
591	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
592	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
593	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
594	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
595	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
596	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
597	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
598	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
599	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
600	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
601	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
602	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
603	C₂²×C₂²⋊C₄	C₂²×D₄	1	64	yes	complemented
604	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
605	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	16	yes	—
606	C₂²×C₄²	C₂²×D₄	1	8	yes	—
607	C₂²×C₄²	C₂²×D₄	1	16	yes	—
608	C₂²×C₄²	C₂²×D₄	1	8	yes	—
609	C₂²×C₄²	C₂²×D₄	1	16	yes	complemented
610	C₂×#95	C₂²×D₄	1	16	yes	complemented
611	C₂×#95	C₂²×D₄	1	64	yes	complemented
612	C₂⁵	C₂×#120	1	32	yes	—
613	C₂⁵	C₂×#120	1	64	yes	—
614	C₂⁵	C₂×#120	1	16	yes	—
615	C₂⁵	C₂×#127	1	16	yes	—
616	C₂⁵	C₂×#127	1	16	yes	complemented
617	C₂⁵	#535	1	16	yes	—
618	C₂⁵	D₄²	1	32	yes	—
619	C₂⁵	D₄²	1	32	yes	—
620	C₂⁵	C₂³×D₄	1	8	yes	—
621	C₂⁵	C₂³×D₄	1	8	yes	—
622	C₂⁵	C₂³×D₄	1	16	yes	—
623	C₂⁵	C₂³×D₄	1	16	yes	—
624	C₂⁵	C₂³×D₄	1	8	yes	—
625	C₂⁵	C₂³×D₄	1	8	yes	—
626	C₂⁵	C₂³×D₄	1	2	yes	—
627	C₂⁵	C₂³×D₄	1	4	yes	—
628	C₂⁵	C₂³×D₄	1	16	yes	—
629	C₂⁵	C₂³×D₄	1	2	yes	—
630	C₂⁵	C₂³×D₄	1	2	yes	—
631	C₂⁵	C₂³×D₄	1	8	yes	—
632	C₂⁵	C₂³×D₄	1	16	yes	—
633	C₂⁵	C₂³×D₄	1	4	yes	—
634	C₂⁵	C₂³×D₄	1	8	yes	—
635	C₂⁵	C₂³×D₄	1	2	yes	—
636	C₂⁵	C₂³×D₄	1	2	yes	—
637	C₂⁵	C₂³×D₄	1	8	yes	—
638	C₂⁵	C₂³×D₄	1	2	yes	—
639	C₂⁵	C₂³×D₄	1	2	yes	—
640	C₂⁵	C₂³×D₄	1	2	yes	—
641	C₂⁵	C₂³×D₄	1	4	yes	—
642	C₂⁵	C₂³×D₄	1	2	yes	—
643	C₂⁵	C₂³×D₄	1	4	yes	—
644	C₂⁵	C₂³×D₄	1	4	yes	—
645	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
646	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
647	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
648	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
649	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
650	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
651	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
652	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
653	C₂⁵	C₂⁶	1	1	yes	characteristic
654	C₂²×D₄	C₂×#120	1	64	yes	—
655	C₂²×D₄	C₂×#120	1	32	yes	—
656	C₂²×D₄	C₂×#120	1	32	yes	—
657	C₂²×D₄	C₂×#120	1	64	yes	—
658	C₂²×D₄	C₂×#120	1	32	yes	—
659	C₂²×D₄	C₂×#120	1	32	yes	—
660	C₂²×D₄	C₂×#120	1	32	yes	—
661	C₂²×D₄	C₂×#120	1	32	yes	complemented
662	C₂²×D₄	C₂×#127	1	32	yes	—
663	C₂²×D₄	C₂×#127	1	32	yes	complemented
664	C₂²×D₄	#534	1	32	yes	—
665	C₂²×D₄	#535	1	32	yes	—
666	C₂²×D₄	D₄²	1	128	yes	—
667	C₂²×D₄	D₄²	1	128	yes	—
668	C₂³×C₄	C₂×#120	1	16	yes	—
669	C₂³×C₄	C₂×#120	1	16	yes	—
670	C₂³×C₄	C₂×#120	1	16	yes	—
671	C₂³×C₄	C₂×#120	1	16	yes	—
672	C₂³×C₄	C₂×#120	1	16	yes	—
673	C₂³×C₄	C₂×#120	1	32	yes	—
674	C₂³×C₄	C₂×#120	1	32	yes	—
675	C₂³×C₄	C₂×#120	1	32	yes	—
676	C₂³×C₄	C₂×#120	1	16	yes	—
677	C₂³×C₄	C₂×#120	1	16	yes	—
678	C₂³×C₄	C₂×#120	1	32	yes	complemented
679	C₂³×C₄	C₂×#127	1	16	yes	complemented
680	C₂³×C₄	#534	1	16	yes	—
681	C₂³×C₄	D₄²	1	32	yes	—
682	C₂³×C₄	D₄²	1	32	yes	—
683	C₂³×C₄	C₂³×D₄	1	16	yes	—
684	C₂³×C₄	C₂³×D₄	1	8	yes	—
685	C₂³×C₄	C₂³×D₄	1	2	yes	—
686	C₂³×C₄	C₂³×D₄	1	8	yes	—
687	C₂³×C₄	C₂³×D₄	1	4	yes	—
688	C₂³×C₄	C₂³×D₄	1	8	yes	—
689	C₂³×C₄	C₂³×D₄	1	2	yes	—
690	C₂³×C₄	C₂³×D₄	1	4	yes	—
691	C₂³×C₄	C₂³×D₄	1	8	yes	—
692	C₂³×C₄	C₂³×D₄	1	16	yes	—
693	C₂³×C₄	C₂³×D₄	1	2	yes	—
694	C₂³×C₄	C₂³×D₄	1	16	yes	—
695	C₂³×C₄	C₂³×D₄	1	16	yes	—
696	C₂³×C₄	C₂³×D₄	1	2	yes	—
697	C₂³×C₄	C₂³×D₄	1	2	yes	—
698	C₂³×C₄	C₂³×D₄	1	8	yes	—
699	C₂³×C₄	C₂³×D₄	1	2	yes	—
700	C₂³×C₄	C₂³×D₄	1	2	yes	—
701	C₂³×C₄	C₂³×D₄	1	4	yes	—
702	C₂³×C₄	C₂³×D₄	1	2	yes	—
703	C₂³×C₄	C₂³×D₄	1	8	yes	—
704	C₂³×C₄	C₂³×D₄	1	2	yes	—
705	C₂³×C₄	C₂³×D₄	1	4	yes	—
706	C₂³×C₄	C₂³×D₄	1	8	yes	—
707	C₂³×C₄	C₂³×D₄	1	2	yes	—
708	C₂³×C₄	C₂³×D₄	1	2	yes	—
709	C₂³×C₄	C₂³×D₄	1	8	yes	—
710	C₂³×C₄	C₂³×D₄	1	2	yes	—
711	C₂³×C₄	C₂³×D₄	1	4	yes	—
712	C₂³×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
713	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
714	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
715	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
716	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
717	C₂×C₄⋊C₄	C₂×#120	1	32	yes	complemented
718	C₂×C₄⋊C₄	C₂×#120	1	32	yes	complemented
719	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
720	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	complemented
721	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	complemented
722	C₂×C₂²⋊C₄	D₄²	1	64	yes	complemented
723	C₂×C₄²	C₂×#120	1	32	yes	complemented
724	C₂⁴	#2433	1	64	yes	complemented
725	C₂⁴	C₂²×#120	1	16	yes	—
726	C₂⁴	C₂²×#120	1	16	yes	—
727	C₂⁴	C₂²×#120	1	16	yes	—
728	C₂⁴	C₂²×#120	1	16	yes	—
729	C₂⁴	C₂²×#120	1	4	yes	—
730	C₂⁴	C₂²×#120	1	8	yes	—
731	C₂⁴	C₂²×#120	1	4	yes	—
732	C₂⁴	C₂²×#120	1	8	yes	—
733	C₂⁴	C₂²×#120	1	8	yes	—
734	C₂⁴	C₂²×#120	1	8	yes	—
735	C₂⁴	C₂²×#120	1	4	yes	—
736	C₂⁴	C₂²×#120	1	4	yes	—
737	C₂⁴	C₂²×#127	1	4	yes	—
738	C₂⁴	C₂²×#127	1	8	yes	—
739	C₂⁴	C₂²×#127	1	4	yes	—
740	C₂⁴	C₂²×#127	1	4	yes	—
741	C₂⁴	C₂×#534	1	16	yes	—
742	C₂⁴	C₂×#534	1	4	yes	—
743	C₂⁴	C₂×#535	1	4	yes	—
744	C₂⁴	C₂×#535	1	8	yes	—
745	C₂⁴	C₂×#535	1	4	yes	—
746	C₂⁴	C₂×#535	1	8	yes	—
747	C₂⁴	C₂×#535	1	4	yes	—
748	C₂⁴	C₂×D₄²	1	64	yes	—
749	C₂⁴	C₂×D₄²	1	8	yes	—
750	C₂⁴	C₂×D₄²	1	8	yes	—
751	C₂⁴	C₂×D₄²	1	32	yes	—
752	C₂⁴	C₂×D₄²	1	8	yes	—
753	C₂⁴	C₂×D₄²	1	16	yes	—
754	C₂⁴	C₂×D₄²	1	8	yes	—
755	C₂⁴	C₂×D₄²	1	8	yes	—
756	C₂⁴	C₂×D₄²	1	8	yes	—
757	C₂⁴	C₂×D₄²	1	8	yes	—
758	C₂⁴	C₂×D₄²	1	32	yes	—
759	C₂⁴	C₂×D₄²	1	8	yes	—
760	C₂⁴	#3484	1	16	yes	—
761	C₂⁴	#3484	1	8	yes	—
762	C₂⁴	#3484	1	32	yes	—
763	C₂⁴	#3484	1	8	yes	—
764	C₂⁴	#3484	1	8	yes	—
765	C₂⁴	#3498	1	8	yes	—
766	C₂⁴	#3498	1	16	yes	—
767	C₂⁴	#3498	1	8	yes	—
768	C₂⁴	#3543	1	16	yes	—
769	C₂⁴	C₂⁴×D₄	1	4	yes	—
770	C₂⁴	C₂⁴×D₄	1	2	yes	—
771	C₂⁴	C₂⁴×D₄	1	2	yes	—
772	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
773	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
774	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
775	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
776	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
777	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
778	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
779	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
780	C₂⁴	H(7,𝔽₂)	1	4	yes	—
781	C₂×D₄	#2403	1	128	yes	complemented
782	C₂×D₄	#2433	1	128	yes	complemented
783	C₂²×C₄	#2403	1	64	yes	complemented
784	C₂²×C₄	#2846	1	64	yes	complemented
785	C₂²×C₄	C₂²×#120	1	8	yes	—
786	C₂²×C₄	C₂²×#120	1	4	yes	—
787	C₂²×C₄	C₂²×#120	1	8	yes	—
788	C₂²×C₄	C₂²×#120	1	16	yes	—
789	C₂²×C₄	C₂²×#120	1	8	yes	—
790	C₂²×C₄	C₂²×#120	1	8	yes	—
791	C₂²×C₄	C₂²×#120	1	8	yes	—
792	C₂²×C₄	C₂²×#120	1	4	yes	—
793	C₂²×C₄	C₂²×#120	1	4	yes	—
794	C₂²×C₄	C₂²×#120	1	4	yes	—
795	C₂²×C₄	C₂²×#120	1	8	yes	—
796	C₂²×C₄	C₂²×#120	1	8	yes	—
797	C₂²×C₄	C₂²×#120	1	4	yes	—
798	C₂²×C₄	C₂²×#120	1	8	yes	—
799	C₂²×C₄	C₂²×#120	1	8	yes	—
800	C₂²×C₄	C₂²×#120	1	4	yes	—
801	C₂²×C₄	C₂²×#127	1	8	yes	—
802	C₂²×C₄	C₂×#534	1	4	yes	—
803	C₂²×C₄	C₂×#534	1	8	yes	—
804	C₂²×C₄	C₂×#534	1	4	yes	—
805	C₂²×C₄	C₂×#535	1	8	yes	—
806	C₂²×C₄	C₂×D₄²	1	8	yes	—
807	C₂²×C₄	C₂×D₄²	1	8	yes	—
808	C₂²×C₄	C₂×D₄²	1	32	yes	—
809	C₂²×C₄	C₂×D₄²	1	32	yes	—
810	C₂²×C₄	C₂×D₄²	1	8	yes	—
811	C₂²×C₄	C₂×D₄²	1	8	yes	—
812	C₂²×C₄	C₂×D₄²	1	32	yes	complemented
813	C₂²×C₄	#3484	1	8	yes	—
814	C₂²×C₄	#3484	1	32	yes	—
815	C₂²×C₄	#3484	1	8	yes	—
816	C₂³	C₂×#2403	1	32	yes	—
817	C₂³	C₂×#2403	1	8	yes	—
818	C₂³	C₂×#2433	1	8	yes	—
819	C₂³	C₂×#2433	1	8	yes	—
820	C₂³	C₂×#2433	1	16	yes	—
821	C₂³	C₂×#2433	1	8	yes	—
822	C₂³	C₂×#2433	1	16	yes	complemented
823	C₂³	#35222	1	8	yes	—
824	C₂³	#35222	1	16	yes	—
825	C₂³	#35527	1	8	yes	—
826	C₂³	D₄×#120	1	16	yes	—
827	C₂³	D₄×#120	1	32	yes	—
828	C₂³	D₄×#120	1	32	yes	—
829	C₂³	D₄×#127	1	16	yes	—
830	C₂³	C₂×#2846	1	8	yes	—
831	C₂³	#37674	1	16	yes	—
832	C₂³	#39336	1	16	yes	—
833	C₂³	#59126	1	32	yes	—
834	C₂³	C₂³×#120	1	1	yes	characteristic
835	C₂³	C₂³×#120	1	1	yes	characteristic
836	C₂³	C₂³×#120	1	2	yes	—
837	C₂³	C₂³×#120	1	2	yes	—
838	C₂³	C₂³×#120	1	2	yes	—
839	C₂³	C₂³×#127	1	1	yes	characteristic
840	C₂³	C₂²×#534	1	1	yes	characteristic
841	C₂³	C₂²×#534	1	2	yes	—
842	C₂³	C₂²×#535	1	1	yes	characteristic
843	C₂³	C₂²×#535	1	2	yes	—
844	C₂³	C₂²×D₄²	1	4	yes	—
845	C₂³	C₂²×D₄²	1	8	yes	—
846	C₂³	C₂²×D₄²	1	8	yes	—
847	C₂³	C₂²×D₄²	1	2	yes	—
848	C₂³	C₂²×D₄²	1	2	yes	—
849	C₂³	C₂²×D₄²	1	2	yes	—
850	C₂³	C₂²×D₄²	1	2	yes	—
851	C₂³	C₂×#3543	1	4	yes	—
852	C₂³	C₂×#3484	1	4	yes	—
853	C₂³	C₂×#3484	1	8	yes	—
854	C₂³	C₂×#3484	1	2	yes	—
855	C₂³	C₂×#3484	1	2	yes	—
856	C₂³	C₂×#3484	1	2	yes	—
857	C₂³	C₂×#3484	1	2	yes	—
858	C₂³	C₂×#3484	1	2	yes	—
859	C₂³	C₂×#3484	1	8	yes	—
860	C₂³	C₂×#3498	1	2	yes	—
861	C₂³	C₂×#3498	1	4	yes	—
862	C₂³	C₂×#3498	1	2	yes	—
863	C₂³	#62842	1	2	yes	—
864	C₂³	#62852	1	2	yes	—
865	C₂³	#62852	1	2	yes	—
866	C₂³	#62892	1	8	yes	—
867	C₂³	#62912	1	8	yes	—
868	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
869	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
870	C₂³	D₄×H(5,𝔽₂)	1	16	yes	—
871	C₂³	#63011	1	16	yes	—
872	C₂×C₄	C₂×#2403	1	8	yes	—
873	C₂×C₄	C₂×#2403	1	16	yes	—
874	C₂×C₄	C₂×#2403	1	8	yes	—
875	C₂×C₄	C₂×#2433	1	16	yes	complemented
876	C₂×C₄	#34980	1	8	yes	—
877	C₂×C₄	#34980	1	16	yes	—
878	C₂×C₄	D₄×#120	1	32	yes	—
879	C₂×C₄	D₄×#120	1	32	yes	—
880	C₂×C₄	C₂×#2846	1	8	yes	—
881	C₂×C₄	C₂×#2846	1	8	yes	—
882	C₂²	#612801	1	16	yes	complemented
883	C₂²	#649038	1	16	yes	complemented
884	C₂²	C₂²×#2403	1	1	yes	characteristic
885	C₂²	C₂²×#2403	1	2	yes	—
886	C₂²	C₂²×#2433	1	1	yes	characteristic
887	C₂²	C₂²×#2433	1	2	yes	—
888	C₂²	C₂×#34980	1	1	yes	characteristic
889	C₂²	C₂×#34980	1	2	yes	—
890	C₂²	C₂×#35222	1	1	yes	characteristic
891	C₂²	C₂×#35222	1	2	yes	—
892	C₂²	C₂×#35527	1	1	yes	characteristic
893	C₂²	C₂×D₄×#120	1	4	yes	—
894	C₂²	C₂×D₄×#120	1	4	yes	—
895	C₂²	C₂×D₄×#120	1	4	yes	—
896	C₂²	C₂×D₄×#120	1	4	yes	—
897	C₂²	C₂×D₄×#120	1	2	yes	—
898	C₂²	C₂×D₄×#127	1	2	yes	—
899	C₂²	#7630502	1	1	yes	characteristic
900	C₂²	#7631286	1	4	yes	—
901	C₂²	#7631286	1	2	yes	—
902	C₂²	#7631334	1	2	yes	—
903	C₂²	#7633039	1	4	yes	—
904	C₂²	#7633039	1	4	yes	—
905	C₂²	C₂²×#2846	1	1	yes	characteristic
906	C₂²	C₂×#37674	1	2	yes	—
907	C₂²	C₂×#39336	1	2	yes	—
908	C₂²	#7645254	1	2	yes	—
909	C₂²	#7646027	1	2	yes	—
910	C₂²	#7652795	1	4	yes	—
911	C₂²	#7653790	1	4	yes	—
912	C₂²	D₄×#534	1	4	yes	—
913	C₂²	D₄×#535	1	4	yes	—
914	C₂²	C₂×#59126	1	4	yes	—
915	C₂²	#7675495	1	4	yes	—
916	C₂²	#7677031	1	4	yes	—
917	C₂²	#7684106	1	16	yes	—
918	C₂²	#7686082	1	16	yes	—
919	C₂²	D₄³	1	16	yes	—
920	C₂²	#7733603	1	4	yes	—
921	C₂²	#7966357	1	16	yes	—
922	C₄	#612424	1	16	yes	complemented
923	C₂	D₄×#2403	1	4	yes	—
924	C₂	C₂×#612424	1	1	yes	characteristic
925	C₂	#72233554	1	8	yes	—
926	C₂	#72233562	1	4	yes	—
927	C₂	D₄×#2433	1	4	yes	—
928	C₂	#72237105	1	1	yes	characteristic
929	C₂	#72237110	1	4	yes	—
930	C₂	#72256581	1	1	yes	characteristic
931	C₂	C₂×#649038	1	1	yes	characteristic
932	C₂	#72261601	1	1	yes	characteristic
933	C₂	C₂×#612801	1	1	yes	characteristic
934	C₂	#72334295	1	1	yes	characteristic

	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. #72334312	C₂	semidirect
2. C₄×#13867	C₂	semidirect
3. #72316956	C₂	semidirect
4. #72299209	C₂	semidirect
5. #72298505	C₂	semidirect
6. #72298478	C₂	semidirect
7. C₂×#612431	C₂	semidirect
8. C₂×#759292	C₂	semidirect
9. #72296143	C₂	semidirect
10. #72279059	C₂	semidirect
11. C₂×#612801	C₂	semidirect
12. #72278211	C₂	semidirect
13. C₂³×#2433	C₂	semidirect
14. C₂×#649038	C₂	semidirect
15. #72252085	C₂	semidirect
16. #72252082	C₂	semidirect
17. #72236727	C₂	semidirect
18. #72233926	C₂	semidirect
19. C₂×#612424	C₂	semidirect
20. C₂⁴×D₄²	C₂	semidirect
23. C₂⁶×D₄	C₂²	semidirect
26. C₂³×D₄²	C₂²	semidirect
27. C₂³×D₄²	C₂²	semidirect
28. C₂⁴×#127	C₂²	semidirect
29. C₂⁴×#127	C₂²	semidirect
31. C₂⁴×#121	C₂²	semidirect
32. C₂⁴×#121	C₂²	semidirect
33. C₂⁴×#121	C₂²	semidirect
35. C₂⁴×#120	C₂²	semidirect
36. C₂⁴×#120	C₂²	semidirect
38. C₂⁴×C₄×D₄	C₂²	semidirect
39. C₂²×#2847	C₂²	semidirect
40. C₂²×#2846	C₂²	semidirect
42. C₂²×#2433	C₂²	semidirect
43. C₂²×#2433	C₂²	semidirect
44. C₂²×#2433	C₂²	semidirect
45. C₂²×#2433	C₂²	semidirect
46. C₂²×#2433	C₂²	semidirect
47. C₂²×#2433	C₂²	semidirect
48. C₂²×#2433	C₂²	semidirect
49. C₂²×#2408	C₂²	semidirect
51. C₂²×#2403	C₂²	semidirect
52. C₂²×#2403	C₂²	semidirect
53. C₂³×#392	C₂²	semidirect
54. C₂³×#390	C₂²	semidirect
55. C₂³×C₄×C₂²⋊C₄	C₂²	semidirect
56. C₂×#16252	C₂²	semidirect
57. C₂×#15310	C₂²	semidirect
58. C₂×#15258	C₂²	semidirect
59. C₂×#15142	C₂²	semidirect
60. C₂×#15124	C₂²	semidirect
61. C₂×#15124	C₂²	semidirect
62. C₂×#15123	C₂²	semidirect
63. C₂×#14722	C₂²	semidirect
64. C₂×#14719	C₂²	semidirect
65. C₂×#14716	C₂²	semidirect
66. C₂×#14716	C₂²	semidirect
67. C₂×#14716	C₂²	semidirect
68. C₂×#14715	C₂²	semidirect
69. C₂×#14715	C₂²	semidirect
70. C₂×#14715	C₂²	semidirect
71. C₂×#14715	C₂²	semidirect
72. C₂×#14715	C₂²	semidirect
73. C₂×#14715	C₂²	semidirect
74. C₂×#14715	C₂²	semidirect
75. C₂×#14698	C₂²	semidirect
76. C₂×#14698	C₂²	semidirect
77. C₂×#14694	C₂²	semidirect
78. C₂×#14680	C₂²	semidirect
79. C₂×#14679	C₂²	semidirect
80. C₂×#14137	C₂²	semidirect
81. C₂×#14137	C₂²	semidirect
82. C₂×#14025	C₂²	semidirect
83. C₂×#13967	C₂²	semidirect
84. C₂×#13902	C₂²	semidirect
85. C₂×#13902	C₂²	semidirect
86. C₂×#13902	C₂²	semidirect
87. C₂×#13902	C₂²	semidirect
88. C₂×#13902	C₂²	semidirect
89. C₂×#13902	C₂²	semidirect
90. C₂×#13872	C₂²	semidirect
92. C₂×#13867	C₂²	semidirect
93. C₂×#13867	C₂²	semidirect
94. C₂×#13867	C₂²	semidirect
95. C₂×C₄×#379	C₂²	semidirect
96. C₂×C₄×#379	C₂²	semidirect
97. C₂×C₄×#386	C₂²	semidirect
98. #158314	C₂²	semidirect
99. #156706	C₂²	semidirect
100. #156706	C₂²	semidirect
101. #156684	C₂²	semidirect
102. #156684	C₂²	semidirect
103. #154729	C₂²	semidirect
104. #154671	C₂²	semidirect
105. #154634	C₂²	semidirect
106. #154402	C₂²	semidirect
107. #154384	C₂²	semidirect
108. #154384	C₂²	semidirect
109. #154320	C₂²	semidirect
110. #154255	C₂²	semidirect
111. #154195	C₂²	semidirect
112. #154195	C₂²	semidirect
113. #154195	C₂²	semidirect
114. #154094	C₂²	semidirect
115. #154094	C₂²	semidirect
116. #154094	C₂²	semidirect
117. #153868	C₂²	semidirect
118. #153854	C₂²	semidirect
119. #153851	C₂²	semidirect
120. #153842	C₂²	semidirect
121. #153827	C₂²	semidirect
122. #153759	C₂²	semidirect
123. #153749	C₂²	semidirect
124. #153749	C₂²	semidirect
125. C₄×#1438	C₂²	semidirect
126. C₄×C₂²⋊#95	C₂²	semidirect
129. C₂⁵×D₄	D₄	semidirect
149. C₂⁵×D₄	C₂³	semidirect
150. C₂⁵×D₄	C₂³	semidirect
154. C₂²×D₄²	D₄	semidirect
158. C₂³×#127	C₂³	semidirect
159. C₂³×#127	C₂³	semidirect
160. C₂³×#127	C₂³	semidirect
161. C₂³×#121	D₄	semidirect
172. C₂³×#121	C₂³	semidirect
173. C₂³×#121	C₂³	semidirect
174. C₂³×#121	C₂³	semidirect
184. C₂³×#120	C₂³	semidirect
185. C₂³×#120	C₂³	semidirect
186. C₂³×#120	C₂³	semidirect
187. C₂³×C₄×D₄	D₄	semidirect
196. C₂⁴×C₄⋊C₄	C₂³	semidirect
203. C₂⁴×C₂²⋊C₄	C₂³	semidirect
204. C₂⁴×C₂²⋊C₄	C₂³	semidirect
206. C₂⁴×C₄²	C₂³	semidirect
207. C₂×#2433	D₄	semidirect
208. C₂²×#394	C₂³	semidirect
211. C₂²×#392	C₂³	semidirect
212. C₂²×#392	C₂³	semidirect
213. C₂²×#392	C₂³	semidirect
214. C₂²×#392	C₂³	semidirect
215. C₂²×#392	C₂³	semidirect
216. C₂²×#392	C₂³	semidirect
217. C₂²×#392	C₂³	semidirect
218. C₂²×#392	C₂³	semidirect
219. C₂²×#392	C₂³	semidirect
220. C₂²×#392	C₂³	semidirect
223. C₂²×#390	C₂³	semidirect
224. C₂²×#390	C₂³	semidirect
225. C₂²×#390	C₂³	semidirect
226. C₂²×#390	C₂³	semidirect
227. C₂²×#390	C₂³	semidirect
228. C₂²×#390	C₂³	semidirect
229. C₂²×#390	C₂³	semidirect
236. C₂²×#386	C₂³	semidirect
237. C₂²×#386	C₂³	semidirect
238. C₂²×#386	C₂³	semidirect
239. C₂²×#386	C₂³	semidirect
241. C₂²×#380	C₂³	semidirect
242. C₂²×#380	C₂³	semidirect
243. C₂²×#380	C₂³	semidirect
250. C₂²×#379	C₂³	semidirect
251. C₂²×#379	C₂³	semidirect
252. C₂²×#379	C₂³	semidirect
253. C₂²×#379	C₂³	semidirect
257. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
258. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
259. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
260. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
261. C₂²×C₄×C₂²⋊C₄	C₂³	semidirect
262. C₂³×#95	C₂³	semidirect
263. #13867	D₄	semidirect
264. C₂×#1441	C₂³	semidirect
265. C₂×#1439	C₂³	semidirect
266. C₂×#1439	C₂³	semidirect
267. C₂×#1439	C₂³	semidirect
268. C₂×#1439	C₂³	semidirect
271. C₂×#1438	C₂³	semidirect
272. C₂×#1438	C₂³	semidirect
273. C₂×#1438	C₂³	semidirect
274. C₂×#1438	C₂³	semidirect
275. C₂×#1438	C₂³	semidirect
276. C₂×#1438	C₂³	semidirect
277. C₂×#1438	C₂³	semidirect
278. C₂×#1438	C₂³	semidirect
279. C₂×#1438	C₂³	semidirect
280. C₂×#1438	C₂³	semidirect
281. C₂×#1438	C₂³	semidirect
282. C₂×#1438	C₂³	semidirect
283. C₂×#1438	C₂³	semidirect
284. C₂×#1438	C₂³	semidirect
285. C₂×#1437	C₂³	semidirect
286. C₂×#1437	C₂³	semidirect
287. C₂×#1437	C₂³	semidirect
288. C₂×#1436	C₂³	semidirect
289. C₂×C₄⋊#95	C₂³	semidirect
290. C₂×C₄⋊#95	C₂³	semidirect
291. C₂×C₄⋊#95	C₂³	semidirect
298. C₂×C₂²⋊#95	C₂³	semidirect
299. C₂×C₂²⋊#95	C₂³	semidirect
300. C₂×C₂²⋊#95	C₂³	semidirect
301. C₂×C₂²⋊#95	C₂³	semidirect
302. C₂×C₂²⋊#95	C₂³	semidirect
303. C₂×C₂²⋊#95	C₂³	semidirect
304. C₂×C₂²⋊#95	C₂³	semidirect
305. C₂×C₂²⋊#95	C₂³	semidirect
306. C₂×C₄×#95	C₂³	semidirect
307. #7557	C₂³	semidirect
308. #7557	C₂³	semidirect
309. #7555	C₂³	semidirect
310. #7555	C₂³	semidirect
311. #7555	C₂³	semidirect
312. #7555	C₂³	semidirect
313. #7555	C₂³	semidirect
314. #7554	C₂³	semidirect
338. C₂⁴×D₄	C₂×D₄	semidirect
339. C₂⁴×D₄	C₂×D₄	semidirect
367. C₂⁵×C₄	C₂×D₄	semidirect
383. C₂²×#127	C₂×D₄	semidirect
384. C₂²×#127	C₂×D₄	semidirect
388. C₂²×#121	C₂×D₄	semidirect
389. C₂²×#121	C₂×D₄	semidirect
390. C₂²×#121	C₂×D₄	semidirect
391. C₂²×#121	C₂×D₄	semidirect
392. C₂²×#121	C₂×D₄	semidirect
394. C₂²×#120	C₂×D₄	semidirect
395. C₂²×#120	C₂×D₄	semidirect
399. C₂²×C₄×D₄	C₂×D₄	semidirect
400. C₂²×C₄×D₄	C₂×D₄	semidirect
401. C₂²×C₄×D₄	C₂×D₄	semidirect
402. C₂³×C₄⋊C₄	C₂×D₄	semidirect
403. C₂³×C₄⋊C₄	C₂×D₄	semidirect
412. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
413. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
414. C₂³×C₂²⋊C₄	C₂×D₄	semidirect
445. C₂³×C₄²	C₂×D₄	semidirect
451. C₂×#392	C₂×D₄	semidirect
452. C₂×#390	C₂×D₄	semidirect
453. C₂×#386	C₂×D₄	semidirect
454. C₂×#379	C₂×D₄	semidirect
455. C₂×#379	C₂×D₄	semidirect
456. C₂×C₄×C₂²⋊C₄	C₂×D₄	semidirect
473. #1438	C₂×D₄	semidirect
474. C₂²⋊#95	C₂×D₄	semidirect
498. C₂³×D₄	#120	semidirect
499. C₂³×D₄	#120	semidirect
500. C₂³×D₄	#127	semidirect
528. C₂³×D₄	C₂²×D₄	semidirect
529. C₂³×D₄	C₂²×D₄	semidirect
532. C₂⁴×C₄	#120	semidirect
562. C₂⁴×C₄	C₂²×D₄	semidirect
576. C₂×#121	#120	semidirect
577. C₂×C₄×D₄	#120	semidirect
584. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
599. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
600. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
601. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
602. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
603. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
604. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
609. C₂²×C₄²	C₂²×D₄	semidirect
610. C₂×#95	C₂²×D₄	semidirect
611. C₂×#95	C₂²×D₄	semidirect
616. C₂⁵	C₂×#127	semidirect
661. C₂²×D₄	C₂×#120	semidirect
663. C₂²×D₄	C₂×#127	semidirect
678. C₂³×C₄	C₂×#120	semidirect
679. C₂³×C₄	C₂×#127	semidirect
717. C₂×C₄⋊C₄	C₂×#120	semidirect
718. C₂×C₄⋊C₄	C₂×#120	semidirect
720. C₂×C₂²⋊C₄	C₂×#120	semidirect
721. C₂×C₂²⋊C₄	C₂×#120	semidirect
722. C₂×C₂²⋊C₄	D₄²	semidirect
723. C₂×C₄²	C₂×#120	semidirect
724. C₂⁴	#2433	semidirect
781. C₂×D₄	#2403	semidirect
782. C₂×D₄	#2433	semidirect
783. C₂²×C₄	#2403	semidirect
784. C₂²×C₄	#2846	semidirect
812. C₂²×C₄	C₂×D₄²	semidirect
822. C₂³	C₂×#2433	semidirect
875. C₂×C₄	C₂×#2433	semidirect
882. C₂²	#612801	semidirect
883. C₂²	#649038	semidirect
922. C₄	#612424	semidirect

Maximal subgroups

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

subgroup	index
#72334312	2
C₄×#13867	2
#72316956	2
#72299209	2
#72298505	2
#72298478	2
C₂×#612431	2
C₂×#759292	2
#72296143	2
#72279059	2
C₂×#612801	2
#72278211	2
C₂³×#2433	2
C₂×#649038	2
#72252085	2
#72252082	2
#72236727	2
#72233926	2
C₂×#612424	2
C₂⁴×D₄²	2