Subgroups — #72337244

Order 2048.

At least 8855 conjugacy classes of subgroups; only the 8240 normal subgroups are shown.

The subgroup lattice has 1094 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72335143	C₂	1	4	yes	maximal, complemented
2	#72335140	C₂	1	1	yes	maximal, characteristic, complemented
3	#72335138	C₂	1	1	yes	maximal, characteristic, complemented
4	#72335004	C₂	1	2	yes	maximal, complemented
5	#72335004	C₂	1	2	yes	maximal, complemented
6	#72334997	C₂	1	8	yes	maximal, complemented
7	#72334951	C₂	1	8	yes	maximal, complemented
8	#72334950	C₂	1	2	yes	maximal, complemented
9	#72334945	C₂	1	2	yes	maximal, complemented
10	C₂×#1418386	C₂	1	4	yes	maximal, complemented
11	C₂×#649471	C₂	1	1	yes	maximal, characteristic, complemented
12	#72334408	C₂	1	1	yes	maximal, characteristic, complemented
13	#72334408	C₂	1	1	yes	maximal, characteristic, complemented
14	#72334399	C₂	1	4	yes	maximal, complemented
15	#72329830	C₂	1	2	yes	maximal, complemented
16	#72298516	C₂	1	1	yes	maximal, characteristic, complemented
17	#72296148	C₂	1	2	yes	maximal, complemented
18	#72296144	C₂	1	2	yes	maximal, complemented
19	#72296144	C₂	1	2	yes	maximal, complemented
20	C₂×#647682	C₂	1	2	yes	maximal, complemented
21	C₂×#612617	C₂	1	2	yes	maximal, complemented
22	#72252090	C₂	1	4	yes	maximal, complemented
23	#72252072	C₂	1	2	yes	maximal, complemented
24	#72250308	C₂	1	2	yes	maximal, complemented
25	C₂⁴×D₄²	C₂	1	1	yes	maximal, characteristic
26	C₂⁶×D₄	C₂²	1	2	yes	—
27	C₂⁶×D₄	C₂²	1	2	yes	—
28	C₂³×D₄²	C₂²	1	4	yes	—
29	C₂³×D₄²	C₂²	1	8	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	2	yes	—
35	C₂⁴×#120	C₂²	1	2	yes	—
36	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
37	C₂⁴×C₄×D₄	C₂²	1	1	yes	characteristic
38	C₂²×#2445	C₂²	1	2	yes	complemented
39	C₂²×#2405	C₂²	1	2	yes	complemented
40	C₂²×#2405	C₂²	1	2	yes	complemented
41	C₂²×#2405	C₂²	1	8	yes	complemented
42	C₂²×#2418	C₂²	1	4	yes	complemented
43	C₂²×D₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	C₂³×#379	C₂²	1	2	yes	complemented
45	C₂×#15950	C₂²	1	8	yes	complemented
46	C₂×#15948	C₂²	1	4	yes	complemented
47	C₂×#15313	C₂²	1	4	yes	complemented
48	C₂×#15283	C₂²	1	4	yes	complemented
49	C₂×#15283	C₂²	1	8	yes	complemented
50	C₂×#15281	C₂²	1	4	yes	complemented
51	C₂×#15281	C₂²	1	8	yes	complemented
52	C₂×#15274	C₂²	1	8	yes	complemented
53	C₂×#15274	C₂²	1	8	yes	complemented
54	C₂×#15266	C₂²	1	4	yes	complemented
55	C₂×#15261	C₂²	1	4	yes	complemented
56	C₂×#15260	C₂²	1	8	yes	complemented
57	C₂×#15140	C₂²	1	2	yes	complemented
58	C₂×#15127	C₂²	1	2	yes	complemented
59	C₂×#14868	C₂²	1	4	yes	complemented
60	C₂×#14820	C₂²	1	2	yes	complemented
61	C₂×#14807	C₂²	1	4	yes	complemented
62	C₂×#14734	C₂²	1	2	yes	complemented
63	C₂×#14725	C₂²	1	4	yes	complemented
64	C₂×#14724	C₂²	1	2	yes	—
65	C₂×#14724	C₂²	1	1	yes	characteristic
66	C₂×#14724	C₂²	1	1	yes	characteristic
67	C₂×#14724	C₂²	1	8	yes	complemented
68	C₂×#14724	C₂²	1	8	yes	complemented
69	C₂×#14724	C₂²	1	8	yes	complemented
70	C₂×#14724	C₂²	1	8	yes	complemented
71	C₂×#14724	C₂²	1	8	yes	complemented
72	C₂×#14724	C₂²	1	8	yes	complemented
73	C₂×#14724	C₂²	1	2	yes	complemented
74	C₂×#14724	C₂²	1	2	yes	complemented
75	C₂×#14724	C₂²	1	2	yes	complemented
76	C₂×#14724	C₂²	1	2	yes	complemented
77	C₂×#14724	C₂²	1	2	yes	complemented
78	C₂×#14724	C₂²	1	2	yes	complemented
79	C₂×#14724	C₂²	1	2	yes	complemented
80	C₂×#14724	C₂²	1	2	yes	complemented
81	C₂×#14718	C₂²	1	4	yes	complemented
82	C₂×#14697	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14693	C₂²	1	2	yes	complemented
84	C₂×#14693	C₂²	1	2	yes	complemented
85	C₂×#14693	C₂²	1	2	yes	complemented
86	C₂×#14693	C₂²	1	2	yes	complemented
87	C₂×#14679	C₂²	1	2	yes	complemented
88	C₂×#14679	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	2	yes	complemented
92	C₂×#14679	C₂²	1	2	yes	complemented
93	C₂×#14679	C₂²	1	2	yes	complemented
94	C₂×#14419	C₂²	1	4	yes	complemented
95	C₂×#14357	C₂²	1	8	yes	complemented
96	C₂×#14176	C₂²	1	4	yes	complemented
97	C₂×#14176	C₂²	1	4	yes	complemented
98	C₂×#14127	C₂²	1	2	yes	complemented
99	C₂×#14025	C₂²	1	2	yes	complemented
100	C₂×#13991	C₂²	1	2	yes	complemented
101	C₂×#13991	C₂²	1	2	yes	complemented
102	C₂×#13967	C₂²	1	4	yes	complemented
103	C₂×#13902	C₂²	1	1	yes	characteristic, complemented
104	C₂×#13902	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13902	C₂²	1	1	yes	characteristic, complemented
106	C₂×#13877	C₂²	1	2	yes	complemented
107	C₂×#13867	C₂²	1	8	yes	complemented
108	C₂×#13867	C₂²	1	8	yes	complemented
109	C₂×#13867	C₂²	1	8	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	2	yes	complemented
114	C₂×#13867	C₂²	1	2	yes	complemented
115	C₂×#13867	C₂²	1	2	yes	complemented
116	C₂×#13867	C₂²	1	2	yes	complemented
117	C₂×C₄×#385	C₂²	1	1	yes	characteristic, complemented
118	#156824	C₂²	1	8	yes	complemented
119	#156824	C₂²	1	8	yes	complemented
120	#156824	C₂²	1	8	yes	complemented
121	#156824	C₂²	1	8	yes	complemented
122	#156731	C₂²	1	8	yes	complemented
123	#156731	C₂²	1	8	yes	complemented
124	#156731	C₂²	1	8	yes	complemented
125	#156731	C₂²	1	8	yes	complemented
126	#156688	C₂²	1	8	yes	complemented
127	#156688	C₂²	1	8	yes	complemented
128	#156688	C₂²	1	8	yes	complemented
129	#156688	C₂²	1	8	yes	complemented
130	#155653	C₂²	1	4	yes	complemented
131	#155622	C₂²	1	8	yes	complemented
132	#154763	C₂²	1	8	yes	complemented
133	#154674	C₂²	1	8	yes	complemented
134	#154674	C₂²	1	8	yes	complemented
135	#154674	C₂²	1	8	yes	complemented
136	#154674	C₂²	1	8	yes	complemented
137	#154671	C₂²	1	8	yes	complemented
138	#154671	C₂²	1	8	yes	complemented
139	#154671	C₂²	1	8	yes	complemented
140	#154670	C₂²	1	8	yes	complemented
141	#154655	C₂²	1	8	yes	complemented
142	#154655	C₂²	1	4	yes	complemented
143	#154655	C₂²	1	4	yes	complemented
144	#154446	C₂²	1	8	yes	complemented
145	#154446	C₂²	1	4	yes	complemented
146	#154446	C₂²	1	4	yes	complemented
147	#154270	C₂²	1	2	yes	complemented
148	#154270	C₂²	1	1	yes	characteristic, complemented
149	#154270	C₂²	1	1	yes	characteristic, complemented
150	#154247	C₂²	1	2	yes	complemented
151	#154247	C₂²	1	1	yes	characteristic, complemented
152	#154247	C₂²	1	1	yes	characteristic, complemented
153	#154194	C₂²	1	2	yes	complemented
154	#154194	C₂²	1	2	yes	complemented
155	#154194	C₂²	1	2	yes	complemented
156	#154194	C₂²	1	2	yes	complemented
157	#154117	C₂²	1	4	yes	complemented
158	#154117	C₂²	1	4	yes	complemented
159	#154096	C₂²	1	2	yes	complemented
160	#154096	C₂²	1	2	yes	complemented
161	#154095	C₂²	1	2	yes	complemented
162	#154095	C₂²	1	2	yes	complemented
163	#154094	C₂²	1	2	yes	—
164	#154094	C₂²	1	1	yes	characteristic
165	#154094	C₂²	1	1	yes	characteristic
166	#154094	C₂²	1	8	yes	complemented
167	#154094	C₂²	1	8	yes	complemented
168	#154094	C₂²	1	8	yes	complemented
169	#154094	C₂²	1	8	yes	complemented
170	#154094	C₂²	1	8	yes	complemented
171	#154094	C₂²	1	8	yes	complemented
172	#154094	C₂²	1	2	yes	complemented
173	#154094	C₂²	1	2	yes	complemented
174	#154094	C₂²	1	2	yes	complemented
175	#154094	C₂²	1	2	yes	complemented
176	#154094	C₂²	1	2	yes	complemented
177	#154094	C₂²	1	2	yes	complemented
178	#154094	C₂²	1	2	yes	complemented
179	#154094	C₂²	1	2	yes	complemented
180	#154094	C₂²	1	2	yes	complemented
181	#154078	C₂²	1	1	yes	characteristic, complemented
182	#154078	C₂²	1	1	yes	characteristic, complemented
183	#154077	C₂²	1	2	yes	complemented
184	#154077	C₂²	1	2	yes	complemented
185	#154077	C₂²	1	2	yes	complemented
186	#154077	C₂²	1	2	yes	complemented
187	#153870	C₂²	1	4	yes	complemented
188	#153870	C₂²	1	4	yes	complemented
189	#153749	C₂²	1	2	yes	complemented
190	#153749	C₂²	1	2	yes	complemented
191	C₂⁸	C₂³	1	2	yes	—
192	C₂⁸	C₂³	1	2	yes	—
193	C₂⁵×D₄	C₂³	1	1	yes	characteristic
194	C₂⁵×D₄	C₂³	1	1	yes	characteristic
195	C₂⁵×D₄	C₂³	1	2	yes	—
196	C₂⁵×D₄	C₂³	1	2	yes	—
197	C₂⁵×D₄	C₂³	1	8	yes	—
198	C₂⁵×D₄	C₂³	1	8	yes	—
199	C₂⁵×D₄	C₂³	1	2	yes	—
200	C₂⁵×D₄	C₂³	1	2	yes	—
201	C₂⁵×D₄	C₂³	1	2	yes	—
202	C₂⁵×D₄	C₂³	1	2	yes	—
203	C₂⁵×D₄	C₂³	1	8	yes	—
204	C₂⁵×D₄	C₂³	1	8	yes	—
205	C₂⁵×D₄	C₂³	1	1	yes	characteristic
206	C₂⁵×D₄	C₂³	1	1	yes	characteristic
207	C₂⁶×C₄	C₂³	1	2	yes	—
208	C₂⁶×C₄	C₂³	1	2	yes	—
209	C₂²×D₄²	D₄	1	64	yes	—
210	C₂³×#127	D₄	1	16	yes	—
211	C₂³×#127	C₂³	1	2	yes	—
212	C₂³×#127	C₂³	1	4	yes	—
213	C₂³×#127	C₂³	1	2	yes	—
214	C₂³×#123	C₂³	1	4	yes	complemented
215	C₂³×#123	C₂³	1	4	yes	complemented
216	C₂³×#121	C₂³	1	8	yes	—
217	C₂³×#121	C₂³	1	8	yes	—
218	C₂³×#121	C₂³	1	8	yes	—
219	C₂³×#121	C₂³	1	8	yes	—
220	C₂³×#120	D₄	1	32	yes	—
221	C₂³×#120	C₂³	1	8	yes	—
222	C₂³×#120	C₂³	1	4	yes	—
223	C₂³×#120	C₂³	1	8	yes	—
224	C₂³×#120	C₂³	1	4	yes	—
225	C₂³×#120	C₂³	1	4	yes	—
226	C₂³×#120	C₂³	1	4	yes	—
227	C₂³×C₄×D₄	C₂³	1	4	yes	—
228	C₂³×C₄×D₄	C₂³	1	4	yes	—
229	C₂³×C₄×D₄	C₂³	1	4	yes	—
230	C₂³×C₄×D₄	C₂³	1	4	yes	—
231	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
232	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
233	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂⁴×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
239	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
240	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
242	C₂⁴×C₂²⋊C₄	C₂³	1	4	yes	complemented
243	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
244	C₂²×#399	C₂³	1	4	yes	complemented
245	C₂²×#397	C₂³	1	4	yes	complemented
246	C₂²×#394	C₂³	1	8	yes	—
247	C₂²×#394	C₂³	1	4	yes	—
248	C₂²×#394	C₂³	1	4	yes	—
249	C₂²×#394	C₂³	1	4	yes	complemented
250	C₂²×#394	C₂³	1	4	yes	complemented
251	C₂²×#394	C₂³	1	4	yes	complemented
252	C₂²×#394	C₂³	1	4	yes	complemented
253	C₂²×#394	C₂³	1	8	yes	complemented
254	C₂²×#394	C₂³	1	8	yes	complemented
255	C₂²×#394	C₂³	1	4	yes	complemented
256	C₂²×#394	C₂³	1	4	yes	complemented
257	C₂²×#394	C₂³	1	4	yes	complemented
258	C₂²×#394	C₂³	1	4	yes	complemented
259	C₂²×#394	C₂³	1	8	yes	complemented
260	C₂²×#394	C₂³	1	8	yes	complemented
261	C₂²×#394	C₂³	1	4	yes	complemented
262	C₂²×#394	C₂³	1	4	yes	complemented
263	C₂²×#394	C₂³	1	4	yes	complemented
264	C₂²×#394	C₂³	1	4	yes	complemented
265	C₂²×#390	C₂³	1	2	yes	complemented
266	C₂²×#390	C₂³	1	2	yes	complemented
267	C₂²×#390	C₂³	1	1	yes	characteristic, complemented
268	C₂²×#390	C₂³	1	2	yes	complemented
269	C₂²×#390	C₂³	1	1	yes	characteristic, complemented
270	C₂²×#390	C₂³	1	2	yes	complemented
271	C₂²×#390	C₂³	1	2	yes	complemented
272	C₂²×#390	C₂³	1	2	yes	complemented
273	C₂²×#389	C₂³	1	2	yes	complemented
274	C₂²×#388	C₂³	1	4	yes	complemented
275	C₂²×#388	C₂³	1	4	yes	complemented
276	C₂²×#386	C₂³	1	4	yes	complemented
277	C₂²×#386	C₂³	1	2	yes	complemented
278	C₂²×#386	C₂³	1	2	yes	complemented
279	C₂²×#386	C₂³	1	4	yes	complemented
280	C₂²×#386	C₂³	1	4	yes	complemented
281	C₂²×#386	C₂³	1	4	yes	complemented
282	C₂²×#386	C₂³	1	4	yes	complemented
283	C₂²×#386	C₂³	1	8	yes	complemented
284	C₂²×#386	C₂³	1	8	yes	complemented
285	C₂²×#386	C₂³	1	4	yes	complemented
286	C₂²×#386	C₂³	1	4	yes	complemented
287	C₂²×#386	C₂³	1	8	yes	complemented
288	C₂²×#386	C₂³	1	8	yes	complemented
289	C₂²×#386	C₂³	1	4	yes	complemented
290	C₂²×#385	C₂³	1	2	yes	—
291	C₂²×#385	C₂³	1	1	yes	characteristic
292	C₂²×#385	C₂³	1	2	yes	—
293	C₂²×#385	C₂³	1	2	yes	—
294	C₂²×#385	C₂³	1	1	yes	characteristic
295	C₂²×#385	C₂³	1	2	yes	—
296	C₂²×#385	C₂³	1	2	yes	—
297	C₂²×#385	C₂³	1	4	yes	complemented
298	C₂²×#385	C₂³	1	8	yes	complemented
299	C₂²×#385	C₂³	1	8	yes	complemented
300	C₂²×#385	C₂³	1	8	yes	complemented
301	C₂²×#385	C₂³	1	8	yes	complemented
302	C₂²×#380	C₂³	1	1	yes	characteristic
303	C₂²×#380	C₂³	1	1	yes	characteristic
304	C₂²×#380	C₂³	1	4	yes	complemented
305	C₂²×#379	C₂³	1	2	yes	—
306	C₂²×#379	C₂³	1	2	yes	—
307	C₂²×#379	C₂³	1	2	yes	—
308	C₂²×#379	C₂³	1	2	yes	—
309	C₂²×#379	C₂³	1	2	yes	—
310	C₂²×#379	C₂³	1	2	yes	—
311	C₂²×#379	C₂³	1	2	yes	—
312	C₂²×#379	C₂³	1	2	yes	—
313	C₂²×#379	C₂³	1	2	yes	—
314	C₂²×#379	C₂³	1	2	yes	—
315	C₂²×#379	C₂³	1	2	yes	—
316	C₂²×#379	C₂³	1	2	yes	—
317	C₂²×#379	C₂³	1	2	yes	—
318	C₂²×#379	C₂³	1	2	yes	—
319	C₂²×#379	C₂³	1	2	yes	—
320	C₂²×#379	C₂³	1	2	yes	—
321	C₂²×#379	C₂³	1	2	yes	—
322	C₂²×#379	C₂³	1	2	yes	—
323	C₂²×#379	C₂³	1	2	yes	—
324	C₂²×#379	C₂³	1	2	yes	—
325	C₂²×#379	C₂³	1	2	yes	—
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	2	yes	—
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	4	yes	complemented
336	C₂²×#379	C₂³	1	4	yes	complemented
337	C₂²×#379	C₂³	1	4	yes	complemented
338	C₂²×#379	C₂³	1	8	yes	complemented
339	C₂²×#379	C₂³	1	8	yes	complemented
340	C₂²×#379	C₂³	1	8	yes	complemented
341	C₂²×#379	C₂³	1	8	yes	complemented
342	C₂²×#379	C₂³	1	8	yes	complemented
343	C₂²×#379	C₂³	1	4	yes	complemented
344	C₂²×#379	C₂³	1	4	yes	complemented
345	C₂²×#379	C₂³	1	8	yes	complemented
346	C₂²×#379	C₂³	1	8	yes	complemented
347	C₂²×#379	C₂³	1	8	yes	complemented
348	C₂²×#379	C₂³	1	8	yes	complemented
349	C₂²×#379	C₂³	1	4	yes	complemented
350	C₂²×#379	C₂³	1	8	yes	complemented
351	C₂²×#379	C₂³	1	8	yes	complemented
352	C₂²×#379	C₂³	1	8	yes	complemented
353	C₂²×C₄×C₄⋊C₄	C₂³	1	2	yes	complemented
354	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂²×C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	#14724	D₄	1	16	yes	complemented
357	C₂×#1444	C₂³	1	8	yes	complemented
358	C₂×#1444	C₂³	1	4	yes	complemented
359	C₂×#1444	C₂³	1	4	yes	complemented
360	C₂×#1441	C₂³	1	4	yes	complemented
361	C₂×#1441	C₂³	1	8	yes	complemented
362	C₂×#1441	C₂³	1	4	yes	complemented
363	C₂×#1440	C₂³	1	4	yes	complemented
364	C₂×#1440	C₂³	1	4	yes	complemented
365	C₂×#1440	C₂³	1	4	yes	complemented
366	C₂×#1440	C₂³	1	4	yes	complemented
367	C₂×#1440	C₂³	1	8	yes	complemented
368	C₂×#1440	C₂³	1	8	yes	complemented
369	C₂×#1439	C₂³	1	4	yes	complemented
370	C₂×#1439	C₂³	1	4	yes	complemented
371	C₂×#1439	C₂³	1	8	yes	complemented
372	C₂×#1439	C₂³	1	4	yes	complemented
373	C₂×#1439	C₂³	1	4	yes	complemented
374	C₂×#1439	C₂³	1	8	yes	complemented
375	C₂×#1439	C₂³	1	4	yes	complemented
376	C₂×#1439	C₂³	1	4	yes	complemented
377	C₂×#1439	C₂³	1	4	yes	complemented
378	C₂×#1439	C₂³	1	4	yes	complemented
379	C₂×#1439	C₂³	1	4	yes	complemented
380	C₂×#1439	C₂³	1	4	yes	complemented
381	C₂×#1439	C₂³	1	8	yes	complemented
382	C₂×#1439	C₂³	1	8	yes	complemented
383	C₂×#1439	C₂³	1	8	yes	complemented
384	C₂×#1439	C₂³	1	8	yes	complemented
385	C₂×#1438	C₂³	1	8	yes	—
386	C₂×#1438	C₂³	1	8	yes	—
387	C₂×#1438	C₂³	1	8	yes	—
388	C₂×#1438	C₂³	1	4	yes	—
389	C₂×#1438	C₂³	1	4	yes	—
390	C₂×#1438	C₂³	1	4	yes	—
391	C₂×#1438	C₂³	1	4	yes	—
392	C₂×#1438	C₂³	1	4	yes	—
393	C₂×#1438	C₂³	1	4	yes	—
394	C₂×#1438	C₂³	1	4	yes	complemented
395	C₂×#1438	C₂³	1	8	yes	complemented
396	C₂×#1438	C₂³	1	8	yes	complemented
397	C₂×#1438	C₂³	1	2	yes	complemented
398	C₂×#1438	C₂³	1	4	yes	complemented
399	C₂×#1438	C₂³	1	2	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	8	yes	complemented
406	C₂×#1438	C₂³	1	8	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	4	yes	complemented
412	C₂×#1438	C₂³	1	4	yes	complemented
413	C₂×#1438	C₂³	1	4	yes	complemented
414	C₂×#1438	C₂³	1	8	yes	complemented
415	C₂×#1438	C₂³	1	4	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	8	yes	complemented
420	C₂×#1438	C₂³	1	8	yes	complemented
421	C₂×#1438	C₂³	1	4	yes	complemented
422	C₂×#1438	C₂³	1	4	yes	complemented
423	C₂×#1438	C₂³	1	4	yes	complemented
424	C₂×#1438	C₂³	1	4	yes	complemented
425	C₂×#1438	C₂³	1	8	yes	complemented
426	C₂×#1438	C₂³	1	8	yes	complemented
427	C₂×#1438	C₂³	1	8	yes	complemented
428	C₂×#1438	C₂³	1	8	yes	complemented
429	C₂×#1438	C₂³	1	8	yes	complemented
430	C₂×#1438	C₂³	1	8	yes	complemented
431	C₂×#1438	C₂³	1	8	yes	complemented
432	C₂×#1438	C₂³	1	8	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	8	yes	complemented
438	C₂×#1437	C₂³	1	4	yes	complemented
439	C₂×#1437	C₂³	1	4	yes	complemented
440	C₂×#1437	C₂³	1	8	yes	complemented
441	C₂×#1437	C₂³	1	8	yes	complemented
442	C₂×#1436	C₂³	1	2	yes	complemented
443	C₂×#1436	C₂³	1	4	yes	complemented
444	C₂×#1436	C₂³	1	2	yes	complemented
445	C₂×C₄⋊#95	C₂³	1	2	yes	complemented
446	C₂×#1434	C₂³	1	4	yes	complemented
447	C₂×#1434	C₂³	1	4	yes	complemented
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	1	yes	characteristic
454	C₂×C₂²⋊#95	C₂³	1	1	yes	characteristic
455	C₂×C₂²⋊#95	C₂³	1	2	yes	—
456	C₂×C₂²⋊#95	C₂³	1	2	yes	—
457	C₂×C₂²⋊#95	C₂³	1	1	yes	characteristic
458	C₂×C₂²⋊#95	C₂³	1	2	yes	—
459	C₂×C₂²⋊#95	C₂³	1	2	yes	—
460	C₂×C₂²⋊#95	C₂³	1	2	yes	—
461	C₂×C₂²⋊#95	C₂³	1	1	yes	characteristic
462	C₂×C₂²⋊#95	C₂³	1	2	yes	—
463	C₂×C₂²⋊#95	C₂³	1	1	yes	characteristic
464	C₂×C₂²⋊#95	C₂³	1	2	yes	—
465	C₂×C₂²⋊#95	C₂³	1	2	yes	—
466	C₂×C₂²⋊#95	C₂³	1	2	yes	—
467	C₂×C₂²⋊#95	C₂³	1	2	yes	—
468	C₂×C₂²⋊#95	C₂³	1	2	yes	—
469	C₂×C₂²⋊#95	C₂³	1	2	yes	—
470	C₂×C₂²⋊#95	C₂³	1	1	yes	characteristic
471	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
472	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
473	C₂×C₂²⋊#95	C₂³	1	4	yes	complemented
474	C₂×C₂²⋊#95	C₂³	1	8	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	8	yes	complemented
479	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
480	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
481	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
482	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
483	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
484	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
485	C₂×C₄×#95	C₂³	1	2	yes	complemented
486	#7557	C₂³	1	8	yes	complemented
487	#7557	C₂³	1	8	yes	complemented
488	#7557	C₂³	1	4	yes	complemented
489	#7557	C₂³	1	4	yes	complemented
490	#7557	C₂³	1	4	yes	complemented
491	#7557	C₂³	1	4	yes	complemented
492	#7555	C₂³	1	8	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	8	yes	complemented
499	#7555	C₂³	1	8	yes	complemented
500	#7555	C₂³	1	8	yes	complemented
501	#7555	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	C₂⁴	1	2	yes	—
506	C₂⁷	C₂⁴	1	2	yes	—
507	C₂⁷	C₂⁴	1	2	yes	—
508	C₂⁷	C₂⁴	1	2	yes	—
509	C₂⁷	C₂⁴	1	4	yes	—
510	C₂⁷	C₂⁴	1	8	yes	—
511	C₂⁷	C₂⁴	1	4	yes	—
512	C₂⁴×D₄	C₂×D₄	1	8	yes	—
513	C₂⁴×D₄	C₂×D₄	1	16	yes	—
514	C₂⁴×D₄	C₂×D₄	1	16	yes	—
515	C₂⁴×D₄	C₂×D₄	1	64	yes	—
516	C₂⁴×D₄	C₂×D₄	1	16	yes	—
517	C₂⁴×D₄	C₂×D₄	1	16	yes	—
518	C₂⁴×D₄	C₂×D₄	1	64	yes	—
519	C₂⁴×D₄	C₂×D₄	1	8	yes	—
520	C₂⁴×D₄	C₂×D₄	1	16	yes	—
521	C₂⁴×D₄	C₂×D₄	1	8	yes	—
522	C₂⁴×D₄	#41	1	8	yes	—
523	C₂⁴×D₄	C₂⁴	1	4	yes	—
524	C₂⁴×D₄	C₂⁴	1	4	yes	—
525	C₂⁴×D₄	C₂⁴	1	8	yes	—
526	C₂⁴×D₄	C₂⁴	1	4	yes	—
527	C₂⁴×D₄	C₂⁴	1	4	yes	—
528	C₂⁴×D₄	C₂⁴	1	8	yes	—
529	C₂⁴×D₄	C₂⁴	1	4	yes	—
530	C₂⁴×D₄	C₂⁴	1	4	yes	—
531	C₂⁴×D₄	C₂⁴	1	4	yes	—
532	C₂⁴×D₄	C₂⁴	1	4	yes	—
533	C₂⁴×D₄	C₂⁴	1	4	yes	—
534	C₂⁴×D₄	C₂⁴	1	4	yes	—
535	C₂⁴×D₄	C₂⁴	1	2	yes	—
536	C₂⁴×D₄	C₂⁴	1	2	yes	—
537	C₂⁴×D₄	C₂⁴	1	2	yes	—
538	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
539	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
540	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
541	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
542	C₂⁵×C₄	C₂⁴	1	2	yes	—
543	C₂⁵×C₄	C₂⁴	1	2	yes	—
544	C₂⁵×C₄	C₂⁴	1	8	yes	—
545	C₂⁵×C₄	C₂⁴	1	8	yes	—
546	C₂⁵×C₄	C₂⁴	1	2	yes	—
547	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
548	C₂⁵×C₄	C₂⁴	1	2	yes	—
549	C₂⁵×C₄	C₂⁴	1	4	yes	—
550	C₂²×#127	C₂×D₄	1	16	yes	—
551	C₂²×#127	C₂×D₄	1	32	yes	—
552	C₂²×#127	C₂×D₄	1	32	yes	—
553	C₂²×#127	C₂×D₄	1	16	yes	—
554	C₂²×#121	C₂×D₄	1	64	yes	—
555	C₂²×#121	C₂×D₄	1	64	yes	—
556	C₂²×#120	C₂×D₄	1	32	yes	—
557	C₂²×#120	C₂×D₄	1	32	yes	—
558	C₂²×#120	C₂×D₄	1	64	yes	—
559	C₂²×#120	C₂×D₄	1	32	yes	—
560	C₂²×#120	C₂×D₄	1	64	yes	—
561	C₂²×#120	C₂×D₄	1	32	yes	—
562	C₂²×C₄×D₄	C₂×D₄	1	32	yes	—
563	C₂²×C₄×D₄	C₂×D₄	1	32	yes	—
564	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
565	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
566	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
567	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
568	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
569	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
571	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
572	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
573	C₂³×C₄⋊C₄	C₂⁴	1	2	yes	—
574	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
575	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
576	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
577	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
578	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
579	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
580	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
581	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
582	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
583	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
584	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
585	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
587	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
588	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
589	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
591	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
592	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
594	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
596	C₂³×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
598	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
599	C₂³×C₂²⋊C₄	C₂⁴	1	4	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	8	yes	—
604	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
605	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
606	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
607	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
608	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
609	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
610	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
611	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₂³×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
617	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
618	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
619	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
620	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
621	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
622	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
623	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
624	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
625	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
626	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
627	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
628	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
629	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
630	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
631	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
632	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
633	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
634	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
635	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
636	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
637	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
638	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
639	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
640	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
642	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
643	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
644	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
645	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
646	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
647	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
648	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
649	C₂³×C₄²	C₂×D₄	1	8	yes	—
650	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
651	C₂³×C₄²	C₂⁴	1	2	yes	—
652	C₂³×C₄²	C₂⁴	1	2	yes	—
653	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
654	C₂³×C₄²	C₂⁴	1	2	yes	—
655	C₂×#394	C₂×D₄	1	32	yes	complemented
656	C₂×#385	C₂×D₄	1	8	yes	complemented
657	C₂×#379	C₂×D₄	1	16	yes	complemented
658	C₂×#379	C₂×D₄	1	16	yes	complemented
659	C₂²×#95	C₂⁴	1	4	yes	—
660	C₂²×#95	C₂⁴	1	2	yes	—
661	C₂²×#95	C₂⁴	1	8	yes	—
662	C₂²×#95	C₂⁴	1	4	yes	—
663	C₂²×#95	C₂⁴	1	2	yes	—
664	C₂²×#95	C₂⁴	1	2	yes	—
665	C₂²×#95	C₂⁴	1	4	yes	—
666	C₂²×#95	C₂⁴	1	2	yes	—
667	C₂²×#95	C₂⁴	1	2	yes	—
668	C₂²×#95	C₂⁴	1	4	yes	—
669	C₂²×#95	C₂⁴	1	4	yes	—
670	C₂²×#95	C₂⁴	1	4	yes	—
671	C₂²×#95	C₂⁴	1	8	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	1	yes	characteristic
679	C₂²×#95	C₂⁴	1	1	yes	characteristic
680	C₂²×#95	C₂⁴	1	2	yes	—
681	C₂²×#95	C₂⁴	1	4	yes	—
682	C₂²×#95	C₂⁴	1	8	yes	—
683	C₂²×#95	C₂⁴	1	8	yes	—
684	C₂²×#95	C₂⁴	1	4	yes	—
685	C₂²×#95	C₂⁴	1	2	yes	—
686	C₂²×#95	C₂⁴	1	4	yes	—
687	C₂²×#95	C₂⁴	1	4	yes	—
688	C₂²×#95	C₂⁴	1	8	yes	—
689	C₂²×#95	C₂⁴	1	8	yes	—
690	C₂²×#95	C₂⁴	1	4	yes	—
691	C₂²×#95	C₂⁴	1	2	yes	—
692	C₂²×#95	C₂⁴	1	2	yes	—
693	C₂²×#95	C₂⁴	1	4	yes	—
694	C₂²×#95	C₂⁴	1	8	yes	—
695	C₂²×#95	C₂⁴	1	8	yes	—
696	C₂²×#95	C₂⁴	1	4	yes	—
697	C₂²×#95	C₂⁴	1	4	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	8	yes	—
702	C₂²×#95	C₂⁴	1	8	yes	—
703	#1438	C₂×D₄	1	32	yes	complemented
704	C₂²⋊#95	C₂×D₄	1	8	yes	complemented
705	C₂⁶	C₂²×D₄	1	8	yes	—
706	C₂⁶	C₂²×D₄	1	8	yes	—
707	C₂⁶	C₂²×D₄	1	8	yes	—
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	8	yes	—
712	C₂⁶	C₂²×D₄	1	16	yes	—
713	C₂⁶	C₂²×D₄	1	32	yes	—
714	C₂⁶	C₂²×D₄	1	16	yes	—
715	C₂⁶	C₂²×D₄	1	32	yes	—
716	C₂⁶	C₂×#41	1	8	yes	—
717	C₂⁶	H(5,𝔽₂)	1	8	yes	—
718	C₂⁶	H(5,𝔽₂)	1	8	yes	—
719	C₂⁶	C₂⁵	1	2	yes	—
720	C₂⁶	C₂⁵	1	4	yes	—
721	C₂⁶	C₂⁵	1	2	yes	—
722	C₂⁶	C₂⁵	1	4	yes	—
723	C₂⁶	C₂⁵	1	4	yes	—
724	C₂⁶	C₂⁵	1	1	yes	characteristic
725	C₂³×D₄	#120	1	64	yes	—
726	C₂³×D₄	C₂²×D₄	1	16	yes	—
727	C₂³×D₄	C₂²×D₄	1	16	yes	—
728	C₂³×D₄	C₂²×D₄	1	16	yes	—
729	C₂³×D₄	C₂²×D₄	1	32	yes	—
730	C₂³×D₄	C₂²×D₄	1	16	yes	—
731	C₂³×D₄	C₂²×D₄	1	16	yes	—
732	C₂³×D₄	C₂²×D₄	1	32	yes	—
733	C₂³×D₄	C₂²×D₄	1	16	yes	—
734	C₂³×D₄	C₂²×D₄	1	16	yes	—
735	C₂³×D₄	C₂²×D₄	1	32	yes	—
736	C₂³×D₄	C₂²×D₄	1	32	yes	—
737	C₂³×D₄	C₂²×D₄	1	16	yes	—
738	C₂³×D₄	C₂²×D₄	1	16	yes	—
739	C₂³×D₄	C₂²×D₄	1	16	yes	—
740	C₂³×D₄	C₂²×D₄	1	16	yes	—
741	C₂³×D₄	C₂²×D₄	1	32	yes	—
742	C₂³×D₄	C₂²×D₄	1	32	yes	—
743	C₂³×D₄	C₂²×D₄	1	8	yes	—
744	C₂³×D₄	C₂²×D₄	1	16	yes	—
745	C₂³×D₄	C₂²×D₄	1	8	yes	—
746	C₂³×D₄	C₂²×D₄	1	4	yes	—
747	C₂³×D₄	C₂²×D₄	1	8	yes	—
748	C₂³×D₄	C₂²×D₄	1	8	yes	—
749	C₂³×D₄	C₂²×D₄	1	8	yes	—
750	C₂³×D₄	C₂²×D₄	1	8	yes	—
751	C₂³×D₄	C₂²×D₄	1	16	yes	—
752	C₂³×D₄	C₂²×D₄	1	4	yes	—
753	C₂³×D₄	C₂²×D₄	1	8	yes	—
754	C₂³×D₄	C₂×#41	1	16	yes	—
755	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
756	C₂³×D₄	H(5,𝔽₂)	1	16	yes	—
757	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
758	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
759	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
760	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
761	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
762	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
763	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
764	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
765	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
766	C₂⁴×C₄	C₂×#41	1	4	yes	—
767	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
768	C₂⁴×C₄	H(5,𝔽₂)	1	4	yes	—
769	C₂⁴×C₄	C₂⁵	1	2	yes	—
770	C₂⁴×C₄	C₂⁵	1	2	yes	—
771	C₂⁴×C₄	C₂⁵	1	4	yes	—
772	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
773	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
774	C₂⁴×C₄	C₂⁵	1	2	yes	—
775	C₂⁴×C₄	C₂⁵	1	4	yes	—
776	C₂⁴×C₄	C₂⁵	1	4	yes	—
777	C₂⁴×C₄	C₂⁵	1	4	yes	—
778	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
779	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
780	C₂⁴×C₄	C₂⁵	1	4	yes	—
781	C₂⁴×C₄	C₂⁵	1	2	yes	—
782	C₂⁴×C₄	C₂⁵	1	4	yes	—
783	C₂⁴×C₄	C₂⁵	1	4	yes	—
784	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
785	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
786	C₂⁴×C₄	C₂⁵	1	2	yes	—
787	C₂⁴×C₄	C₂⁵	1	2	yes	—
788	C₂×#127	#120	1	128	yes	—
789	C₂×#120	#120	1	256	yes	—
790	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	—
791	C₂²×C₄⋊C₄	C₂²×D₄	1	16	yes	—
792	C₂²×C₄⋊C₄	C₂²×D₄	1	8	yes	complemented
793	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
794	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
795	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
796	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
797	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
798	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
799	C₂²×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
800	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
801	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	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	32	yes	—
805	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
806	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
807	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	complemented
808	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	complemented
809	C₂²×C₄²	C₂²×D₄	1	8	yes	—
810	C₂²×C₄²	C₂²×D₄	1	16	yes	—
811	C₂²×C₄²	C₂²×D₄	1	8	yes	—
812	C₂×#95	C₂²×D₄	1	8	yes	complemented
813	C₂×#95	C₂²×D₄	1	16	yes	complemented
814	C₂⁵	C₂×#120	1	32	yes	—
815	C₂⁵	C₂×#120	1	64	yes	—
816	C₂⁵	D₄²	1	32	yes	—
817	C₂⁵	#546	1	32	yes	—
818	C₂⁵	C₂³×D₄	1	4	yes	—
819	C₂⁵	C₂³×D₄	1	4	yes	—
820	C₂⁵	C₂³×D₄	1	8	yes	—
821	C₂⁵	C₂³×D₄	1	16	yes	—
822	C₂⁵	C₂³×D₄	1	4	yes	—
823	C₂⁵	C₂³×D₄	1	4	yes	—
824	C₂⁵	C₂³×D₄	1	4	yes	—
825	C₂⁵	C₂³×D₄	1	16	yes	—
826	C₂⁵	C₂³×D₄	1	4	yes	—
827	C₂⁵	C₂³×D₄	1	16	yes	—
828	C₂⁵	C₂³×D₄	1	8	yes	—
829	C₂⁵	C₂³×D₄	1	16	yes	—
830	C₂⁵	C₂³×D₄	1	8	yes	—
831	C₂⁵	C₂³×D₄	1	8	yes	—
832	C₂⁵	C₂³×D₄	1	4	yes	—
833	C₂⁵	C₂³×D₄	1	2	yes	—
834	C₂⁵	C₂³×D₄	1	2	yes	—
835	C₂⁵	C₂²×#41	1	8	yes	—
836	C₂⁵	C₂²×#41	1	2	yes	—
837	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
838	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
839	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
840	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
841	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
842	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
843	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
844	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
845	C₂⁵	#585	1	2	yes	—
846	C₂⁵	#585	1	4	yes	—
847	C₂⁵	#585	1	2	yes	—
848	C₂⁵	C₂⁶	1	1	yes	characteristic
849	C₂²×D₄	C₂×#120	1	64	yes	—
850	C₂²×D₄	C₂×#120	1	64	yes	—
851	C₂²×D₄	C₂×#120	1	64	yes	—
852	C₂²×D₄	C₂×#120	1	64	yes	—
853	C₂²×D₄	C₂×#120	1	32	yes	—
854	C₂²×D₄	C₂×#120	1	16	yes	—
855	C₂²×D₄	C₂×#120	1	32	yes	—
856	C₂²×D₄	C₂×#120	1	16	yes	—
857	C₂²×D₄	C₂×#120	1	32	yes	—
858	C₂²×D₄	C₂×#120	1	64	yes	—
859	C₂²×D₄	D₄²	1	64	yes	—
860	C₂²×D₄	#546	1	64	yes	—
861	C₂³×C₄	C₂×#120	1	16	yes	—
862	C₂³×C₄	D₄²	1	16	yes	—
863	C₂³×C₄	#546	1	16	yes	—
864	C₂³×C₄	C₂³×D₄	1	4	yes	—
865	C₂³×C₄	C₂³×D₄	1	8	yes	—
866	C₂³×C₄	C₂³×D₄	1	2	yes	—
867	C₂³×C₄	C₂³×D₄	1	2	yes	—
868	C₂³×C₄	C₂³×D₄	1	2	yes	—
869	C₂³×C₄	C₂³×D₄	1	4	yes	—
870	C₂³×C₄	C₂³×D₄	1	16	yes	—
871	C₂³×C₄	C₂³×D₄	1	16	yes	—
872	C₂³×C₄	C₂³×D₄	1	8	yes	—
873	C₂³×C₄	C₂³×D₄	1	8	yes	—
874	C₂³×C₄	C₂³×D₄	1	2	yes	—
875	C₂³×C₄	C₂³×D₄	1	8	yes	—
876	C₂³×C₄	C₂³×D₄	1	4	yes	—
877	C₂³×C₄	C₂³×D₄	1	4	yes	—
878	C₂³×C₄	C₂³×D₄	1	8	yes	—
879	C₂³×C₄	C₂³×D₄	1	4	yes	—
880	C₂³×C₄	C₂³×D₄	1	8	yes	—
881	C₂³×C₄	C₂³×D₄	1	4	yes	—
882	C₂³×C₄	C₂²×#41	1	4	yes	—
883	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
884	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
885	C₂³×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
886	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
887	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	—
888	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	—
889	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	—
890	C₂×C₄²	C₂×#120	1	32	yes	—
891	C₂⁴	C₂²×#120	1	8	yes	—
892	C₂⁴	C₂²×#120	1	16	yes	—
893	C₂⁴	C₂²×#120	1	16	yes	—
894	C₂⁴	C₂²×#120	1	16	yes	—
895	C₂⁴	C₂²×#120	1	8	yes	—
896	C₂⁴	C₂²×#120	1	16	yes	—
897	C₂⁴	C₂²×#120	1	16	yes	—
898	C₂⁴	C₂²×#120	1	16	yes	—
899	C₂⁴	C₂²×#120	1	4	yes	—
900	C₂⁴	C₂×D₄²	1	16	yes	—
901	C₂⁴	C₂×D₄²	1	32	yes	—
902	C₂⁴	C₂×D₄²	1	8	yes	—
903	C₂⁴	C₂×D₄²	1	4	yes	—
904	C₂⁴	C₂×#546	1	16	yes	—
905	C₂⁴	C₂×#546	1	32	yes	—
906	C₂⁴	C₂×#546	1	4	yes	—
907	C₂⁴	C₂×#546	1	8	yes	—
908	C₂⁴	D₄×#41	1	4	yes	—
909	C₂⁴	#3484	1	16	yes	—
910	C₂⁴	#3484	1	32	yes	—
911	C₂⁴	#3484	1	32	yes	—
912	C₂⁴	#3484	1	16	yes	—
913	C₂⁴	#3484	1	8	yes	—
914	C₂⁴	#3484	1	4	yes	—
915	C₂⁴	#3484	1	4	yes	—
916	C₂⁴	#3484	1	8	yes	—
917	C₂⁴	#3485	1	8	yes	—
918	C₂⁴	#3485	1	4	yes	—
919	C₂⁴	#3485	1	4	yes	—
920	C₂⁴	#3485	1	8	yes	—
921	C₂⁴	#3488	1	8	yes	—
922	C₂⁴	#3496	1	4	yes	—
923	C₂⁴	#3513	1	8	yes	—
924	C₂⁴	#3514	1	4	yes	—
925	C₂⁴	#3534	1	8	yes	—
926	C₂⁴	#3534	1	8	yes	—
927	C₂⁴	#3542	1	8	yes	—
928	C₂⁴	#3546	1	4	yes	—
929	C₂⁴	#3558	1	8	yes	—
930	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
931	C₂⁴	C₂⁴×D₄	1	4	yes	—
932	C₂⁴	C₂⁴×D₄	1	2	yes	—
933	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
934	C₂⁴	C₂³×#41	1	1	yes	characteristic
935	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
936	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
937	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
938	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
939	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
940	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
941	C₂⁴	C₂×#585	1	1	yes	characteristic
942	C₂⁴	C₂×#585	1	1	yes	characteristic
943	C₂⁴	C₂×#585	1	2	yes	—
944	C₂⁴	H(7,𝔽₂)	1	4	yes	—
945	C₂×D₄	#2846	1	64	yes	—
946	C₂²×C₄	C₂²×#120	1	4	yes	—
947	C₂²×C₄	C₂²×#120	1	16	yes	—
948	C₂²×C₄	C₂²×#120	1	16	yes	—
949	C₂²×C₄	C₂²×#120	1	16	yes	—
950	C₂²×C₄	C₂²×#120	1	4	yes	—
951	C₂²×C₄	C₂²×#120	1	8	yes	—
952	C₂²×C₄	C₂²×#120	1	8	yes	—
953	C₂²×C₄	C₂²×#120	1	8	yes	—
954	C₂²×C₄	C₂×D₄²	1	16	yes	—
955	C₂²×C₄	C₂×D₄²	1	8	yes	—
956	C₂²×C₄	C₂×#546	1	16	yes	—
957	C₂²×C₄	C₂×#546	1	8	yes	—
958	C₂²×C₄	#3484	1	16	yes	—
959	C₂²×C₄	#3484	1	8	yes	—
960	C₂²×C₄	#3484	1	16	yes	—
961	C₂²×C₄	#3484	1	8	yes	—
962	C₂³	#35446	1	8	yes	—
963	C₂³	D₄×#120	1	32	yes	—
964	C₂³	D₄×#120	1	8	yes	—
965	C₂³	#36152	1	32	yes	—
966	C₂³	#36152	1	8	yes	—
967	C₂³	C₂×#2846	1	16	yes	—
968	C₂³	#43023	1	16	yes	—
969	C₂³	#43094	1	16	yes	—
970	C₂³	#44932	1	8	yes	—
971	C₂³	#45140	1	8	yes	—
972	C₂³	#47829	1	16	yes	—
973	C₂³	#52008	1	8	yes	—
974	C₂³	#58994	1	16	yes	—
975	C₂³	#59035	1	8	yes	—
976	C₂³	C₂³×#120	1	1	yes	characteristic
977	C₂³	C₂³×#120	1	2	yes	—
978	C₂³	C₂³×#120	1	4	yes	—
979	C₂³	C₂²×D₄²	1	4	yes	—
980	C₂³	C₂²×D₄²	1	2	yes	—
981	C₂³	C₂²×D₄²	1	1	yes	characteristic
982	C₂³	C₂²×#546	1	4	yes	—
983	C₂³	C₂²×#546	1	2	yes	—
984	C₂³	C₂²×#546	1	1	yes	characteristic
985	C₂³	C₂×D₄×#41	1	1	yes	characteristic
986	C₂³	C₂×#3542	1	2	yes	—
987	C₂³	C₂×#3534	1	2	yes	—
988	C₂³	C₂×#3534	1	2	yes	—
989	C₂³	C₂×#3558	1	2	yes	—
990	C₂³	C₂×#3546	1	1	yes	characteristic
991	C₂³	C₂×#3484	1	8	yes	—
992	C₂³	C₂×#3484	1	4	yes	—
993	C₂³	C₂×#3484	1	2	yes	—
994	C₂³	C₂×#3484	1	2	yes	—
995	C₂³	C₂×#3484	1	4	yes	—
996	C₂³	C₂×#3484	1	2	yes	—
997	C₂³	C₂×#3484	1	2	yes	—
998	C₂³	C₂×#3484	1	1	yes	characteristic
999	C₂³	C₂×#3484	1	4	yes	—
1000	C₂³	C₂×#3484	1	4	yes	—
1001	C₂³	C₂×#3484	1	1	yes	characteristic
1002	C₂³	C₂×#3484	1	8	yes	—
1003	C₂³	C₂×#3496	1	1	yes	characteristic
1004	C₂³	C₂×#3513	1	2	yes	—
1005	C₂³	C₂×#3485	1	2	yes	—
1006	C₂³	C₂×#3485	1	2	yes	—
1007	C₂³	C₂×#3485	1	1	yes	characteristic
1008	C₂³	C₂×#3485	1	1	yes	characteristic
1009	C₂³	C₂×#3514	1	1	yes	characteristic
1010	C₂³	C₂×#3488	1	2	yes	—
1011	C₂³	#62842	1	4	yes	—
1012	C₂³	#62842	1	2	yes	—
1013	C₂³	#62892	1	8	yes	—
1014	C₂³	#62892	1	8	yes	—
1015	C₂³	#62912	1	4	yes	—
1016	C₂³	#62912	1	4	yes	—
1017	C₂³	D₄×H(5,𝔽₂)	1	4	yes	—
1018	C₂³	#62983	1	4	yes	—
1019	C₂³	#62987	1	4	yes	—
1020	C₂³	#62987	1	8	yes	—
1021	C₂³	#62987	1	4	yes	—
1022	C₂³	#63012	1	4	yes	—
1023	C₂³	#63012	1	8	yes	—
1024	C₂³	#63012	1	4	yes	—
1025	C₂×C₄	D₄×#120	1	16	yes	—
1026	C₂×C₄	#36152	1	16	yes	—
1027	C₂×C₄	C₂×#2846	1	8	yes	—
1028	C₂²	#1418386	1	16	yes	complemented
1029	C₂²	C₂×#35446	1	1	yes	characteristic
1030	C₂²	C₂×D₄×#120	1	2	yes	—
1031	C₂²	C₂×D₄×#120	1	1	yes	characteristic
1032	C₂²	C₂×D₄×#120	1	4	yes	—
1033	C₂²	C₂×#36152	1	2	yes	—
1034	C₂²	C₂×#36152	1	4	yes	—
1035	C₂²	C₂×#36152	1	1	yes	characteristic
1036	C₂²	#7630442	1	1	yes	characteristic
1037	C₂²	#7630939	1	2	yes	—
1038	C₂²	#7630939	1	2	yes	—
1039	C₂²	#7630939	1	4	yes	—
1040	C₂²	#7630939	1	1	yes	characteristic
1041	C₂²	#7630939	1	4	yes	—
1042	C₂²	#7630939	1	1	yes	characteristic
1043	C₂²	#7631581	1	2	yes	—
1044	C₂²	#7631581	1	2	yes	—
1045	C₂²	#7631581	1	4	yes	—
1046	C₂²	#7631581	1	4	yes	—
1047	C₂²	C₂²×#2846	1	1	yes	characteristic
1048	C₂²	C₂×#58994	1	2	yes	—
1049	C₂²	C₂×#59035	1	1	yes	characteristic
1050	C₂²	C₂×#43094	1	2	yes	—
1051	C₂²	C₂×#43023	1	2	yes	—
1052	C₂²	C₂×#44932	1	1	yes	characteristic
1053	C₂²	C₂×#45140	1	1	yes	characteristic
1054	C₂²	#7675391	1	4	yes	—
1055	C₂²	#7675416	1	4	yes	—
1056	C₂²	#7677103	1	2	yes	—
1057	C₂²	#7677118	1	2	yes	—
1058	C₂²	#7684117	1	8	yes	—
1059	C₂²	#7684300	1	8	yes	—
1060	C₂²	#7685362	1	4	yes	—
1061	C₂²	#7686112	1	4	yes	—
1062	C₂²	D₄×#546	1	4	yes	—
1063	C₂²	C₂×#47829	1	2	yes	—
1064	C₂²	C₂×#52008	1	1	yes	characteristic
1065	C₂²	#7716427	1	4	yes	—
1066	C₂²	#7716427	1	4	yes	—
1067	C₂²	#7718113	1	2	yes	—
1068	C₂²	#7718113	1	2	yes	—
1069	C₂²	#7733246	1	4	yes	—
1070	C₂²	#7733246	1	4	yes	—
1071	C₂²	#7737454	1	2	yes	—
1072	C₂²	#7737454	1	2	yes	—
1073	C₂²	#7966197	1	8	yes	—
1074	C₂²	#7966197	1	8	yes	—
1075	C₂²	#7966358	1	8	yes	—
1076	C₂²	#7967933	1	8	yes	—
1077	C₂²	#7985087	1	4	yes	—
1078	C₂	D₄×#2846	1	1	yes	characteristic
1079	C₂	#72233531	1	1	yes	characteristic
1080	C₂	#72297578	1	1	yes	characteristic
1081	C₂	#72330131	1	4	yes	—
1082	C₂	#72330155	1	4	yes	—
1083	C₂	#72331394	1	1	yes	characteristic
1084	C₂	#72334347	1	2	yes	—
1085	C₂	#72334349	1	2	yes	—
1086	C₂	#72334350	1	2	yes	—
1087	C₂	C₂×#1418386	1	1	yes	characteristic
1088	C₂	#72334942	1	1	yes	characteristic
1089	C₂	#72335133	1	2	yes	—
1090	C₂	#72337215	1	4	yes	—
1091	C₂	#72337218	1	4	yes	—
1092	C₂	#72337225	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁶
prime radical	C₂⁴×D₄²	C₂
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. #72335143	C₂	semidirect
2. #72335140	C₂	semidirect
3. #72335138	C₂	semidirect
4. #72335004	C₂	semidirect
5. #72335004	C₂	semidirect
6. #72334997	C₂	semidirect
7. #72334951	C₂	semidirect
8. #72334950	C₂	semidirect
9. #72334945	C₂	semidirect
10. C₂×#1418386	C₂	semidirect
11. C₂×#649471	C₂	semidirect
12. #72334408	C₂	semidirect
13. #72334408	C₂	semidirect
14. #72334399	C₂	semidirect
15. #72329830	C₂	semidirect
16. #72298516	C₂	semidirect
17. #72296148	C₂	semidirect
18. #72296144	C₂	semidirect
19. #72296144	C₂	semidirect
20. C₂×#647682	C₂	semidirect
21. C₂×#612617	C₂	semidirect
22. #72252090	C₂	semidirect
23. #72252072	C₂	semidirect
24. #72250308	C₂	semidirect
38. C₂²×#2445	C₂²	semidirect
39. C₂²×#2405	C₂²	semidirect
40. C₂²×#2405	C₂²	semidirect
41. C₂²×#2405	C₂²	semidirect
42. C₂²×#2418	C₂²	semidirect
43. C₂²×D₄×C₂²⋊C₄	C₂²	semidirect
44. C₂³×#379	C₂²	semidirect
45. C₂×#15950	C₂²	semidirect
46. C₂×#15948	C₂²	semidirect
47. C₂×#15313	C₂²	semidirect
48. C₂×#15283	C₂²	semidirect
49. C₂×#15283	C₂²	semidirect
50. C₂×#15281	C₂²	semidirect
51. C₂×#15281	C₂²	semidirect
52. C₂×#15274	C₂²	semidirect
53. C₂×#15274	C₂²	semidirect
54. C₂×#15266	C₂²	semidirect
55. C₂×#15261	C₂²	semidirect
56. C₂×#15260	C₂²	semidirect
57. C₂×#15140	C₂²	semidirect
58. C₂×#15127	C₂²	semidirect
59. C₂×#14868	C₂²	semidirect
60. C₂×#14820	C₂²	semidirect
61. C₂×#14807	C₂²	semidirect
62. C₂×#14734	C₂²	semidirect
63. C₂×#14725	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×#14724	C₂²	semidirect
74. C₂×#14724	C₂²	semidirect
75. C₂×#14724	C₂²	semidirect
76. C₂×#14724	C₂²	semidirect
77. C₂×#14724	C₂²	semidirect
78. C₂×#14724	C₂²	semidirect
79. C₂×#14724	C₂²	semidirect
80. C₂×#14724	C₂²	semidirect
81. C₂×#14718	C₂²	semidirect
82. C₂×#14697	C₂²	semidirect
83. C₂×#14693	C₂²	semidirect
84. C₂×#14693	C₂²	semidirect
85. C₂×#14693	C₂²	semidirect
86. C₂×#14693	C₂²	semidirect
87. C₂×#14679	C₂²	semidirect
88. C₂×#14679	C₂²	semidirect
89. C₂×#14679	C₂²	semidirect
90. C₂×#14679	C₂²	semidirect
91. C₂×#14679	C₂²	semidirect
92. C₂×#14679	C₂²	semidirect
93. C₂×#14679	C₂²	semidirect
94. C₂×#14419	C₂²	semidirect
95. C₂×#14357	C₂²	semidirect
96. C₂×#14176	C₂²	semidirect
97. C₂×#14176	C₂²	semidirect
98. C₂×#14127	C₂²	semidirect
99. C₂×#14025	C₂²	semidirect
100. C₂×#13991	C₂²	semidirect
101. C₂×#13991	C₂²	semidirect
102. C₂×#13967	C₂²	semidirect
103. C₂×#13902	C₂²	semidirect
104. C₂×#13902	C₂²	semidirect
105. C₂×#13902	C₂²	semidirect
106. C₂×#13877	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×C₄×#385	C₂²	semidirect
118. #156824	C₂²	semidirect
119. #156824	C₂²	semidirect
120. #156824	C₂²	semidirect
121. #156824	C₂²	semidirect
122. #156731	C₂²	semidirect
123. #156731	C₂²	semidirect
124. #156731	C₂²	semidirect
125. #156731	C₂²	semidirect
126. #156688	C₂²	semidirect
127. #156688	C₂²	semidirect
128. #156688	C₂²	semidirect
129. #156688	C₂²	semidirect
130. #155653	C₂²	semidirect
131. #155622	C₂²	semidirect
132. #154763	C₂²	semidirect
133. #154674	C₂²	semidirect
134. #154674	C₂²	semidirect
135. #154674	C₂²	semidirect
136. #154674	C₂²	semidirect
137. #154671	C₂²	semidirect
138. #154671	C₂²	semidirect
139. #154671	C₂²	semidirect
140. #154670	C₂²	semidirect
141. #154655	C₂²	semidirect
142. #154655	C₂²	semidirect
143. #154655	C₂²	semidirect
144. #154446	C₂²	semidirect
145. #154446	C₂²	semidirect
146. #154446	C₂²	semidirect
147. #154270	C₂²	semidirect
148. #154270	C₂²	semidirect
149. #154270	C₂²	semidirect
150. #154247	C₂²	semidirect
151. #154247	C₂²	semidirect
152. #154247	C₂²	semidirect
153. #154194	C₂²	semidirect
154. #154194	C₂²	semidirect
155. #154194	C₂²	semidirect
156. #154194	C₂²	semidirect
157. #154117	C₂²	semidirect
158. #154117	C₂²	semidirect
159. #154096	C₂²	semidirect
160. #154096	C₂²	semidirect
161. #154095	C₂²	semidirect
162. #154095	C₂²	semidirect
166. #154094	C₂²	semidirect
167. #154094	C₂²	semidirect
168. #154094	C₂²	semidirect
169. #154094	C₂²	semidirect
170. #154094	C₂²	semidirect
171. #154094	C₂²	semidirect
172. #154094	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. #154078	C₂²	semidirect
182. #154078	C₂²	semidirect
183. #154077	C₂²	semidirect
184. #154077	C₂²	semidirect
185. #154077	C₂²	semidirect
186. #154077	C₂²	semidirect
187. #153870	C₂²	semidirect
188. #153870	C₂²	semidirect
189. #153749	C₂²	semidirect
190. #153749	C₂²	semidirect
214. C₂³×#123	C₂³	semidirect
215. C₂³×#123	C₂³	semidirect
231. C₂³×C₄×D₄	C₂³	semidirect
232. C₂³×C₄×D₄	C₂³	semidirect
241. C₂⁴×C₂²⋊C₄	C₂³	semidirect
242. C₂⁴×C₂²⋊C₄	C₂³	semidirect
244. C₂²×#399	C₂³	semidirect
245. C₂²×#397	C₂³	semidirect
249. C₂²×#394	C₂³	semidirect
250. C₂²×#394	C₂³	semidirect
251. C₂²×#394	C₂³	semidirect
252. C₂²×#394	C₂³	semidirect
253. C₂²×#394	C₂³	semidirect
254. C₂²×#394	C₂³	semidirect
255. C₂²×#394	C₂³	semidirect
256. C₂²×#394	C₂³	semidirect
257. C₂²×#394	C₂³	semidirect
258. C₂²×#394	C₂³	semidirect
259. C₂²×#394	C₂³	semidirect
260. C₂²×#394	C₂³	semidirect
261. C₂²×#394	C₂³	semidirect
262. C₂²×#394	C₂³	semidirect
263. C₂²×#394	C₂³	semidirect
264. C₂²×#394	C₂³	semidirect
265. C₂²×#390	C₂³	semidirect
266. C₂²×#390	C₂³	semidirect
267. C₂²×#390	C₂³	semidirect
268. C₂²×#390	C₂³	semidirect
269. C₂²×#390	C₂³	semidirect
270. C₂²×#390	C₂³	semidirect
271. C₂²×#390	C₂³	semidirect
272. C₂²×#390	C₂³	semidirect
273. C₂²×#389	C₂³	semidirect
274. C₂²×#388	C₂³	semidirect
275. C₂²×#388	C₂³	semidirect
276. C₂²×#386	C₂³	semidirect
277. C₂²×#386	C₂³	semidirect
278. C₂²×#386	C₂³	semidirect
279. C₂²×#386	C₂³	semidirect
280. C₂²×#386	C₂³	semidirect
281. C₂²×#386	C₂³	semidirect
282. C₂²×#386	C₂³	semidirect
283. C₂²×#386	C₂³	semidirect
284. C₂²×#386	C₂³	semidirect
285. C₂²×#386	C₂³	semidirect
286. C₂²×#386	C₂³	semidirect
287. C₂²×#386	C₂³	semidirect
288. C₂²×#386	C₂³	semidirect
289. C₂²×#386	C₂³	semidirect
297. C₂²×#385	C₂³	semidirect
298. C₂²×#385	C₂³	semidirect
299. C₂²×#385	C₂³	semidirect
300. C₂²×#385	C₂³	semidirect
301. C₂²×#385	C₂³	semidirect
304. C₂²×#380	C₂³	semidirect
335. C₂²×#379	C₂³	semidirect
336. C₂²×#379	C₂³	semidirect
337. C₂²×#379	C₂³	semidirect
338. C₂²×#379	C₂³	semidirect
339. C₂²×#379	C₂³	semidirect
340. C₂²×#379	C₂³	semidirect
341. C₂²×#379	C₂³	semidirect
342. C₂²×#379	C₂³	semidirect
343. C₂²×#379	C₂³	semidirect
344. C₂²×#379	C₂³	semidirect
345. C₂²×#379	C₂³	semidirect
346. C₂²×#379	C₂³	semidirect
347. C₂²×#379	C₂³	semidirect
348. C₂²×#379	C₂³	semidirect
349. C₂²×#379	C₂³	semidirect
350. C₂²×#379	C₂³	semidirect
351. C₂²×#379	C₂³	semidirect
352. C₂²×#379	C₂³	semidirect
353. C₂²×C₄×C₄⋊C₄	C₂³	semidirect
356. #14724	D₄	semidirect
357. C₂×#1444	C₂³	semidirect
358. C₂×#1444	C₂³	semidirect
359. C₂×#1444	C₂³	semidirect
360. C₂×#1441	C₂³	semidirect
361. C₂×#1441	C₂³	semidirect
362. C₂×#1441	C₂³	semidirect
363. C₂×#1440	C₂³	semidirect
364. C₂×#1440	C₂³	semidirect
365. C₂×#1440	C₂³	semidirect
366. C₂×#1440	C₂³	semidirect
367. C₂×#1440	C₂³	semidirect
368. C₂×#1440	C₂³	semidirect
369. C₂×#1439	C₂³	semidirect
370. C₂×#1439	C₂³	semidirect
371. C₂×#1439	C₂³	semidirect
372. C₂×#1439	C₂³	semidirect
373. C₂×#1439	C₂³	semidirect
374. C₂×#1439	C₂³	semidirect
375. C₂×#1439	C₂³	semidirect
376. C₂×#1439	C₂³	semidirect
377. C₂×#1439	C₂³	semidirect
378. C₂×#1439	C₂³	semidirect
379. C₂×#1439	C₂³	semidirect
380. C₂×#1439	C₂³	semidirect
381. C₂×#1439	C₂³	semidirect
382. C₂×#1439	C₂³	semidirect
383. C₂×#1439	C₂³	semidirect
384. 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×#1437	C₂³	semidirect
439. C₂×#1437	C₂³	semidirect
440. C₂×#1437	C₂³	semidirect
441. C₂×#1437	C₂³	semidirect
442. C₂×#1436	C₂³	semidirect
443. C₂×#1436	C₂³	semidirect
444. C₂×#1436	C₂³	semidirect
445. C₂×C₄⋊#95	C₂³	semidirect
446. C₂×#1434	C₂³	semidirect
447. C₂×#1434	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. C₂×C₂²⋊#95	C₂³	semidirect
484. C₂×C₂²⋊#95	C₂³	semidirect
485. C₂×C₄×#95	C₂³	semidirect
486. #7557	C₂³	semidirect
487. #7557	C₂³	semidirect
488. #7557	C₂³	semidirect
489. #7557	C₂³	semidirect
490. #7557	C₂³	semidirect
491. #7557	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. #7555	C₂³	semidirect
502. #7554	C₂³	semidirect
503. #7554	C₂³	semidirect
655. C₂×#394	C₂×D₄	semidirect
656. C₂×#385	C₂×D₄	semidirect
657. C₂×#379	C₂×D₄	semidirect
658. C₂×#379	C₂×D₄	semidirect
703. #1438	C₂×D₄	semidirect
704. C₂²⋊#95	C₂×D₄	semidirect
792. C₂²×C₄⋊C₄	C₂²×D₄	semidirect
806. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
807. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
808. C₂²×C₂²⋊C₄	C₂²×D₄	semidirect
812. C₂×#95	C₂²×D₄	semidirect
813. C₂×#95	C₂²×D₄	semidirect
1028. C₂²	#1418386	semidirect

Maximal subgroups

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

subgroup	index
#72335143	2
#72335140	2
#72335138	2
#72335004	2
#72334997	2
#72334951	2
#72334950	2
#72334945	2
C₂×#1418386	2
C₂×#649471	2
#72334408	2
#72334399	2
#72329830	2
#72298516	2
#72296148	2
#72296144	2
C₂×#647682	2
C₂×#612617	2
#72252090	2
#72252072	2
#72250308	2
C₂⁴×D₄²	2