Subgroups — #72255600

Order 2048.

At least 13298 conjugacy classes of subgroups; only the 1604 normal subgroups are shown.

The subgroup lattice has 1013 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72251326	C₂	1	1	yes	maximal, characteristic, complemented
2	#72251324	C₂	1	1	yes	maximal, characteristic, complemented
3	#72251323	C₂	1	1	yes	maximal, characteristic, complemented
4	#72251322	C₂	1	1	yes	maximal, characteristic, complemented
5	#72251321	C₂	1	1	yes	maximal, characteristic, complemented
6	#72251320	C₂	1	1	yes	maximal, characteristic, complemented
7	#72251319	C₂	1	1	yes	maximal, characteristic, complemented
8	#72251318	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#432256	C₂	1	1	yes	maximal, characteristic, complemented
10	#72251316	C₂	1	1	yes	maximal, characteristic, complemented
11	#72251314	C₂	1	1	yes	maximal, characteristic, complemented
12	#72251312	C₂	1	1	yes	maximal, characteristic, complemented
13	#72251311	C₂	1	1	yes	maximal, characteristic, complemented
14	#72251310	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#430079	C₂	1	1	yes	maximal, characteristic, complemented
16	#72251308	C₂	1	1	yes	maximal, characteristic, complemented
17	#72251307	C₂	1	1	yes	maximal, characteristic, complemented
18	#72251201	C₂	1	1	yes	maximal, characteristic, complemented
19	#72251130	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#404012	C₂	1	1	yes	maximal, characteristic, complemented
21	#72238034	C₂	1	1	yes	maximal, characteristic, complemented
22	#72237714	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#10576378	C₂	1	1	yes	maximal, characteristic, complemented
24	#72237698	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#395191	C₂	1	1	yes	maximal, characteristic, complemented
26	#72237672	C₂	1	1	yes	maximal, characteristic, complemented
27	#72237666	C₂	1	1	yes	maximal, characteristic, complemented
28	#72237651	C₂	1	1	yes	maximal, characteristic, complemented
29	#72236744	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#394321	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#394102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#62814	C₂²	1	1	yes	characteristic
33	C₂²×#3484	C₂²	1	1	yes	characteristic
34	#10575251	C₂²	1	1	yes	characteristic, complemented
35	C₂×#60619	C₂²	1	1	yes	characteristic
36	C₂×#60518	C₂²	1	1	yes	characteristic
37	C₂×#60511	C₂²	1	1	yes	characteristic
38	C₂×#60490	C₂²	1	1	yes	characteristic
39	C₂×#60426	C₂²	1	1	yes	characteristic
40	C₂×#60454	C₂²	1	1	yes	characteristic
41	C₂×#60444	C₂²	1	1	yes	characteristic
42	C₂×#60444	C₂²	1	1	yes	characteristic, complemented
43	C₂×#60367	C₂²	1	1	yes	characteristic
44	C₂×#60367	C₂²	1	1	yes	characteristic
45	C₂²×#3003	C₂²	1	1	yes	characteristic
46	C₂²×#3003	C₂²	1	1	yes	characteristic
47	C₂×#60141	C₂²	1	1	yes	characteristic
48	C₂×#60168	C₂²	1	1	yes	characteristic
49	C₂×#60087	C₂²	1	1	yes	characteristic
50	C₂³×#418	C₂²	1	1	yes	characteristic
51	#7630502	C₂²	1	1	yes	characteristic
52	C₂×#35222	C₂²	1	1	yes	characteristic
53	C₂×#23535	C₂²	1	1	yes	characteristic, complemented
54	C₂×#23474	C₂²	1	1	yes	characteristic, complemented
55	C₂×#23472	C₂²	1	1	yes	characteristic, complemented
56	#6431794	C₂²	1	1	yes	characteristic, complemented
57	C₂×#23445	C₂²	1	1	yes	characteristic
58	C₂×#23445	C₂²	1	1	yes	characteristic
59	C₂×#23443	C₂²	1	1	yes	characteristic
60	C₂×#23443	C₂²	1	1	yes	characteristic
61	C₂×#23443	C₂²	1	1	yes	characteristic
62	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
63	#6431766	C₂²	1	1	yes	characteristic, complemented
64	#6431764	C₂²	1	1	yes	characteristic, complemented
65	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
66	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
67	C₂²×#2010	C₂²	1	1	yes	characteristic
68	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
69	C₂²×#2008	C₂²	1	1	yes	characteristic
70	C₂²×#2008	C₂²	1	1	yes	characteristic
71	C₂²×#2008	C₂²	1	1	yes	characteristic
72	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
73	C₂×#23407	C₂²	1	1	yes	characteristic
74	C₂×#23400	C₂²	1	1	yes	characteristic
75	C₂×#21244	C₂²	1	1	yes	characteristic, complemented
76	C₂×#21244	C₂²	1	1	yes	characteristic, complemented
77	C₂×#21014	C₂²	1	1	yes	characteristic, complemented
78	C₂×#21012	C₂²	1	1	yes	characteristic, complemented
79	C₂×#21009	C₂²	1	1	yes	characteristic, complemented
80	C₂×#21009	C₂²	1	1	yes	characteristic, complemented
81	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
82	C₂²×#1904	C₂²	1	1	yes	characteristic
83	#6371503	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20985	C₂²	1	1	yes	characteristic
85	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
86	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
87	C₂²×#1795	C₂²	1	1	yes	characteristic
88	C₂×#20598	C₂²	1	1	yes	characteristic
89	C₂×#20586	C₂²	1	1	yes	characteristic
90	#6369812	C₂²	1	1	yes	characteristic, complemented
91	#517415	C₂²	1	1	yes	characteristic
92	C₂×#11389	C₂²	1	1	yes	characteristic, complemented
93	#358789	C₂²	1	1	yes	characteristic, complemented
94	C₂×#11361	C₂²	1	1	yes	characteristic, complemented
95	C₂×#11361	C₂²	1	1	yes	characteristic, complemented
96	C₂×#11234	C₂²	1	1	yes	characteristic, complemented
97	C₂×#11132	C₂²	1	1	yes	characteristic, complemented
98	C₂×#11132	C₂²	1	1	yes	characteristic, complemented
99	C₂×#11129	C₂²	1	1	yes	characteristic
100	C₂×#11129	C₂²	1	1	yes	characteristic, complemented
101	C₂×#11119	C₂²	1	1	yes	characteristic, complemented
102	C₂×#11115	C₂²	1	1	yes	characteristic, complemented
103	C₂×#11102	C₂²	1	1	yes	characteristic, complemented
104	C₂×#11030	C₂²	1	1	yes	characteristic
105	C₂×#11030	C₂²	1	1	yes	characteristic
106	C₂×#11030	C₂²	1	1	yes	characteristic
107	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
108	#357571	C₂²	1	1	yes	characteristic
109	#357564	C₂²	1	1	yes	characteristic, complemented
110	#357564	C₂²	1	1	yes	characteristic, complemented
111	#357564	C₂²	1	1	yes	characteristic, complemented
112	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
113	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
114	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
115	C₂×#11004	C₂²	1	1	yes	characteristic
116	C₂×#11004	C₂²	1	1	yes	characteristic
117	C₂×#11004	C₂²	1	1	yes	characteristic
118	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
119	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
120	C₂×#10994	C₂²	1	1	yes	characteristic
121	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
122	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
123	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
124	C₂×#10993	C₂²	1	1	yes	characteristic
125	#357531	C₂²	1	1	yes	characteristic
126	#357531	C₂²	1	1	yes	characteristic
127	#357529	C₂²	1	1	yes	characteristic
128	#357529	C₂²	1	1	yes	characteristic
129	#357529	C₂²	1	1	yes	characteristic, complemented
130	#357524	C₂²	1	1	yes	characteristic, complemented
131	#357524	C₂²	1	1	yes	characteristic, complemented
132	#357524	C₂²	1	1	yes	characteristic, complemented
133	#357493	C₂²	1	1	yes	characteristic, complemented
134	C₂×#11006	C₂²	1	1	yes	characteristic, complemented
135	#357486	C₂²	1	1	yes	characteristic, complemented
136	#357486	C₂²	1	1	yes	characteristic, complemented
137	#357486	C₂²	1	1	yes	characteristic, complemented
138	C₂×#10987	C₂²	1	1	yes	characteristic
139	#357443	C₂²	1	1	yes	characteristic, complemented
140	C₂×#10951	C₂²	1	1	yes	characteristic, complemented
141	C₂×#10951	C₂²	1	1	yes	characteristic, complemented
142	C₂×#10941	C₂²	1	1	yes	characteristic, complemented
143	C₂×#10948	C₂²	1	1	yes	characteristic
144	C₂×#10948	C₂²	1	1	yes	characteristic
145	C₂×#10948	C₂²	1	1	yes	characteristic, complemented
146	C₂×#10948	C₂²	1	1	yes	characteristic, complemented
147	#354035	C₂²	1	1	yes	characteristic, complemented
148	#353985	C₂²	1	1	yes	characteristic, complemented
149	C₂×#10917	C₂²	1	1	yes	characteristic, complemented
150	#353662	C₂²	1	1	yes	characteristic, complemented
151	C₂×#10785	C₂²	1	1	yes	characteristic
152	C₂×#10783	C₂²	1	1	yes	characteristic, complemented
153	#353448	C₂²	1	1	yes	characteristic, complemented
154	#353434	C₂²	1	1	yes	characteristic, complemented
155	#353430	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10743	C₂²	1	1	yes	characteristic, complemented
157	#353409	C₂²	1	1	yes	characteristic
158	#353407	C₂²	1	1	yes	characteristic, complemented
159	#353346	C₂²	1	1	yes	characteristic, complemented
160	C₂×#10729	C₂²	1	1	yes	characteristic, complemented
161	C₂×#10717	C₂²	1	1	yes	characteristic, complemented
162	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
163	#123999	C₂²	1	1	yes	characteristic, complemented
164	#123975	C₂²	1	1	yes	characteristic, complemented
165	#123904	C₂²	1	1	yes	characteristic, complemented
166	#123896	C₂²	1	1	yes	characteristic, complemented
167	#123637	C₂²	1	1	yes	characteristic, complemented
168	#123637	C₂²	1	1	yes	characteristic, complemented
169	#123637	C₂²	1	1	yes	characteristic, complemented
170	#123627	C₂²	1	1	yes	characteristic, complemented
171	#123618	C₂²	1	1	yes	characteristic, complemented
172	#123600	C₂²	1	1	yes	characteristic, complemented
173	#123568	C₂²	1	1	yes	characteristic, complemented
174	#123568	C₂²	1	1	yes	characteristic, complemented
175	#123568	C₂²	1	1	yes	characteristic, complemented
176	#123560	C₂²	1	1	yes	characteristic
177	#123560	C₂²	1	1	yes	characteristic
178	#123560	C₂²	1	1	yes	characteristic
179	#123560	C₂²	1	1	yes	characteristic
180	#123560	C₂²	1	1	yes	characteristic, complemented
181	#123560	C₂²	1	1	yes	characteristic, complemented
182	#123547	C₂²	1	1	yes	characteristic, complemented
183	#123535	C₂²	1	1	yes	characteristic, complemented
184	#123535	C₂²	1	1	yes	characteristic, complemented
185	#123498	C₂²	1	1	yes	characteristic, complemented
186	#123495	C₂²	1	1	yes	characteristic, complemented
187	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
188	C₂⁵×D₄	C₂³	1	1	yes	characteristic
189	C₂²×#575	C₂³	1	1	yes	characteristic
190	C₂²×#575	C₂³	1	1	yes	characteristic
191	C₂²×#575	C₂³	1	1	yes	characteristic
192	C₂²×#575	C₂³	1	1	yes	characteristic
193	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
194	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
195	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
196	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
197	C₂²×#568	C₂³	1	1	yes	characteristic
198	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
199	C₂×#3458	C₂³	1	1	yes	characteristic
200	C₂×#3449	C₂³	1	1	yes	characteristic
201	C₂×#3449	C₂³	1	1	yes	characteristic
202	C₂×#3449	C₂³	1	1	yes	characteristic
203	C₂×#3449	C₂³	1	1	yes	characteristic
204	C₂×#3449	C₂³	1	1	yes	characteristic
205	C₂²×#535	C₂³	1	1	yes	characteristic
206	C₂²×#535	C₂³	1	1	yes	characteristic
207	C₂²×#535	C₂³	1	1	yes	characteristic
208	C₂²×#535	C₂³	1	1	yes	characteristic
209	C₂²×#525	C₂³	1	1	yes	characteristic
210	C₂²×#525	C₂³	1	1	yes	characteristic
211	C₂²×#525	C₂³	1	1	yes	characteristic
212	C₂²×#525	C₂³	1	1	yes	characteristic
213	C₂²×#525	C₂³	1	1	yes	characteristic
214	C₂×#3428	C₂³	1	1	yes	characteristic
215	C₂×#3428	C₂³	1	1	yes	characteristic
216	C₂²×#518	C₂³	1	1	yes	characteristic
217	C₂³×#117	C₂³	1	1	yes	characteristic
218	#60518	D₄	1	8	yes	complemented
219	#60490	D₄	1	8	yes	complemented
220	C₂×#3054	D₄	1	4	yes	complemented
221	C₂×#3050	D₄	1	4	yes	complemented
222	C₂×#3043	D₄	1	4	yes	complemented
223	C₂×#3041	D₄	1	4	yes	complemented
224	C₂×#3005	D₄	1	4	yes	complemented
225	C₂×#3003	D₄	1	4	yes	complemented
226	#60141	D₄	1	8	yes	complemented
227	C₂×#2911	C₂³	1	1	yes	characteristic
228	C₂×#2911	C₂³	1	1	yes	characteristic
229	C₂×#2911	C₂³	1	1	yes	characteristic
230	C₂×#2911	C₂³	1	1	yes	characteristic
231	C₂×#2905	C₂³	1	1	yes	characteristic
232	C₂²×#421	C₂³	1	1	yes	characteristic
233	C₂²×#421	C₂³	1	1	yes	characteristic
234	C₂²×#421	C₂³	1	1	yes	characteristic
235	C₂²×#421	C₂³	1	1	yes	characteristic
236	C₂²×#421	C₂³	1	1	yes	characteristic
237	C₂²×#421	C₂³	1	1	yes	characteristic
238	C₂²×#421	C₂³	1	1	yes	characteristic
239	C₂²×#421	C₂³	1	1	yes	characteristic
240	C₂²×#421	C₂³	1	1	yes	characteristic
241	C₂²×#421	C₂³	1	1	yes	characteristic
242	C₂×#2896	C₂³	1	1	yes	characteristic
243	C₂×#2896	C₂³	1	1	yes	characteristic
244	C₂×#2896	C₂³	1	1	yes	characteristic
245	C₂×#2896	C₂³	1	1	yes	characteristic
246	C₂×#2896	C₂³	1	1	yes	characteristic
247	C₂×#2896	C₂³	1	1	yes	characteristic
248	C₂×#2896	C₂³	1	1	yes	characteristic
249	C₂×#2896	C₂³	1	1	yes	characteristic
250	C₂×#2896	C₂³	1	1	yes	characteristic
251	C₂×#2896	C₂³	1	1	yes	characteristic
252	C₂²×#418	D₄	1	8	yes	complemented
253	C₂²×#418	C₂³	1	1	yes	characteristic
254	C₂²×#418	C₂³	1	1	yes	characteristic
255	C₂²×#418	C₂³	1	1	yes	characteristic
256	C₂²×#418	C₂³	1	1	yes	characteristic
257	C₂²×#418	C₂³	1	1	yes	characteristic
258	C₂²×#418	C₂³	1	1	yes	characteristic
259	C₂²×#418	C₂³	1	1	yes	characteristic
260	C₂²×#418	C₂³	1	1	yes	characteristic
261	C₂²×#418	C₂³	1	1	yes	characteristic
262	C₂²×#418	C₂³	1	1	yes	characteristic
263	C₂²×#418	C₂³	1	1	yes	characteristic
264	C₂²×#418	C₂³	1	1	yes	characteristic
265	C₂²×#413	C₂³	1	1	yes	characteristic
266	C₂²×#410	C₂³	1	1	yes	characteristic
267	C₂²×#410	C₂³	1	1	yes	characteristic
268	C₂²×#410	C₂³	1	1	yes	characteristic
269	C₂²×#410	C₂³	1	1	yes	characteristic
270	C₂²×#410	C₂³	1	1	yes	characteristic
271	C₂²×#410	C₂³	1	1	yes	characteristic
272	C₂²×#410	C₂³	1	1	yes	characteristic
273	C₂²×#410	C₂³	1	1	yes	characteristic
274	C₂²×#410	C₂³	1	1	yes	characteristic
275	C₂²×#410	C₂³	1	1	yes	characteristic
276	C₂²×#410	C₂³	1	1	yes	characteristic
277	C₂²×#410	C₂³	1	1	yes	characteristic
278	C₂²×#410	C₂³	1	1	yes	characteristic
279	C₂×#2879	C₂³	1	1	yes	characteristic
280	C₂×#2879	C₂³	1	1	yes	characteristic
281	C₂²×#407	C₂³	1	1	yes	characteristic
282	C₂²×#407	C₂³	1	1	yes	characteristic
283	C₂²×#407	C₂³	1	1	yes	characteristic
284	C₂×#2873	C₂³	1	1	yes	characteristic
285	C₂×#2873	C₂³	1	1	yes	characteristic
286	C₂×#2873	C₂³	1	1	yes	characteristic
287	#34044	C₂³	1	1	yes	characteristic
288	#34044	C₂³	1	1	yes	characteristic
289	#34044	C₂³	1	1	yes	characteristic
290	C₂×#2309	C₂³	1	1	yes	characteristic
291	C₂×#2309	C₂³	1	1	yes	characteristic
292	C₂×#2309	C₂³	1	1	yes	characteristic
293	C₂×#2309	C₂³	1	1	yes	characteristic
294	C₂×#2309	C₂³	1	1	yes	characteristic
295	C₂×#2309	C₂³	1	1	yes	characteristic
296	C₂×#2280	C₂³	1	1	yes	characteristic
297	C₂×#2280	C₂³	1	1	yes	characteristic
298	C₂×#2280	C₂³	1	1	yes	characteristic
299	C₂×#2280	C₂³	1	1	yes	characteristic
300	C₂²×#344	C₂³	1	1	yes	characteristic
301	C₂²×#344	C₂³	1	1	yes	characteristic
302	C₂²×#344	C₂³	1	1	yes	characteristic
303	C₂²×#344	C₂³	1	1	yes	characteristic
304	C₂²×#344	C₂³	1	1	yes	characteristic
305	C₂²×#344	C₂³	1	1	yes	characteristic
306	C₂²×#344	C₂³	1	1	yes	characteristic
307	C₂²×#344	C₂³	1	1	yes	characteristic
308	C₂²×#344	C₂³	1	1	yes	characteristic
309	C₂²×#344	C₂³	1	1	yes	characteristic
310	C₂×#1742	C₂³	1	1	yes	characteristic
311	C₂×#1742	C₂³	1	1	yes	characteristic
312	C₂×#1740	C₂³	1	1	yes	characteristic
313	C₂×#1740	C₂³	1	1	yes	characteristic
314	C₂×#1740	C₂³	1	1	yes	characteristic
315	C₂×#1740	C₂³	1	1	yes	characteristic
316	C₂×#1740	C₂³	1	1	yes	characteristic
317	C₂×#1740	C₂³	1	1	yes	characteristic
318	C₂×#1740	C₂³	1	1	yes	characteristic
319	C₂×#1740	C₂³	1	1	yes	characteristic
320	C₂×#1740	C₂³	1	1	yes	characteristic
321	C₂×#1740	C₂³	1	1	yes	characteristic
322	C₂×#1740	C₂³	1	1	yes	characteristic
323	C₂×#1740	C₂³	1	1	yes	characteristic
324	C₂×#1740	C₂³	1	1	yes	characteristic
325	C₂×#1740	C₂³	1	1	yes	characteristic
326	C₂×#1740	C₂³	1	1	yes	characteristic
327	C₂×#1740	C₂³	1	1	yes	characteristic
328	C₂×#1733	C₂³	1	1	yes	characteristic
329	C₂×#1733	C₂³	1	1	yes	characteristic
330	C₂×#1733	C₂³	1	1	yes	characteristic
331	C₂×#1733	C₂³	1	1	yes	characteristic
332	C₂×#1733	C₂³	1	1	yes	characteristic
333	C₂×#1733	C₂³	1	1	yes	characteristic
334	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
335	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
336	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
337	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
338	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
339	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
340	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
341	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
342	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
343	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
344	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
345	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
346	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
347	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
348	#20335	C₂³	1	1	yes	characteristic
349	#20335	C₂³	1	1	yes	characteristic
350	#20335	C₂³	1	1	yes	characteristic
351	#20335	C₂³	1	1	yes	characteristic
352	#10993	D₄	1	8	yes	complemented
353	#10992	D₄	1	4	yes	—
354	#10991	D₄	1	4	yes	—
355	C₂³×#41	C₂×D₄	1	2	yes	—
356	C₂³×#41	C₂⁴	1	1	yes	characteristic
357	C₂³×#41	C₂⁴	1	1	yes	characteristic
358	C₂³×#41	C₂⁴	1	1	yes	characteristic
359	C₂³×#41	C₂⁴	1	1	yes	characteristic
360	C₂³×#41	C₂⁴	1	1	yes	characteristic
361	C₂⁴×D₄	C₂×D₄	1	4	yes	—
362	C₂⁴×D₄	C₂×D₄	1	2	yes	—
363	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
364	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
365	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
366	C₂²×#137	C₂×D₄	1	2	yes	—
367	C₂²×#137	C₂×D₄	1	2	yes	—
368	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
369	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
370	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
371	C₂²×#135	C₂×D₄	1	4	yes	—
372	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
373	C₂³×D₈	C₂×D₄	1	2	yes	—
374	C₂×#568	C₂×D₄	1	4	yes	—
375	C₂³×M₁₆	C₂×D₄	1	4	yes	—
376	C₂³×M₁₆	C₂×D₄	1	4	yes	—
377	C₂³×M₁₆	C₂×D₄	1	2	yes	—
378	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
379	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
380	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
381	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
382	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
383	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
384	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
385	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₈	C₂×D₄	1	2	yes	—
387	#3458	C₂×D₄	1	4	yes	—
388	C₂×#535	C₂×D₄	1	4	yes	—
389	C₂×#535	C₂×D₄	1	4	yes	—
390	C₂×#525	C₂×D₄	1	4	yes	—
391	C₂×#525	C₂×D₄	1	4	yes	—
392	C₂×#525	C₂×D₄	1	2	yes	—
393	C₂×#525	C₂×D₄	1	2	yes	—
394	C₂×#525	C₂×D₄	1	2	yes	—
395	C₂×#525	C₂×D₄	1	2	yes	—
396	C₂×#525	C₂×D₄	1	4	yes	—
397	C₂²×#123	C₂×D₄	1	2	yes	—
398	C₂²×#120	C₂×D₄	1	2	yes	—
399	#3428	C₂×D₄	1	4	yes	—
400	C₂×#519	C₂×D₄	1	2	yes	—
401	C₂×#518	C₂×D₄	1	2	yes	—
402	C₂×#518	C₂×D₄	1	4	yes	—
403	C₂²×#117	C₂×D₄	1	4	yes	—
404	C₂²×#117	C₂⁴	1	1	yes	characteristic
405	C₂²×#117	C₂⁴	1	1	yes	characteristic
406	C₂²×#117	C₂⁴	1	1	yes	characteristic
407	C₂²×#117	C₂⁴	1	1	yes	characteristic
408	C₂²×#117	C₂⁴	1	1	yes	characteristic
409	C₂²×#117	C₂⁴	1	1	yes	characteristic
410	C₂²×#117	C₂⁴	1	1	yes	characteristic
411	C₂²×#117	C₂⁴	1	1	yes	characteristic
412	C₂²×#117	C₂⁴	1	1	yes	characteristic
413	C₂²×#117	C₂⁴	1	1	yes	characteristic
414	C₂²×#117	C₂⁴	1	1	yes	characteristic
415	C₂²×#117	C₂⁴	1	1	yes	characteristic
416	C₂²×#117	C₂⁴	1	1	yes	characteristic
417	C₂²×#117	C₂⁴	1	1	yes	characteristic
418	C₂²×#117	C₂⁴	1	1	yes	characteristic
419	#2911	C₂×D₄	1	4	yes	—
420	#2911	C₂×D₄	1	4	yes	—
421	#2911	C₂×D₄	1	4	yes	—
422	#2911	C₂×D₄	1	4	yes	—
423	C₂×#427	C₂×D₄	1	4	yes	—
424	#2905	C₂×D₄	1	4	yes	—
425	#2905	C₂×D₄	1	4	yes	—
426	C₂×#424	C₂×D₄	1	4	yes	—
427	C₂×#419	C₂×D₄	1	2	yes	—
428	C₂×#418	C₂×D₄	1	2	yes	—
429	C₂×#418	C₂×D₄	1	4	yes	—
430	C₂×#418	C₂×D₄	1	4	yes	—
431	C₂×#418	C₂×D₄	1	4	yes	—
432	C₂×#418	C₂×D₄	1	4	yes	—
433	C₂×#418	C₂×D₄	1	4	yes	—
434	C₂×#418	C₂×D₄	1	4	yes	—
435	C₂×#418	C₂×D₄	1	4	yes	—
436	C₂×#418	C₂×D₄	1	4	yes	—
437	C₂×#418	C₂×D₄	1	4	yes	—
438	C₂×#418	C₂×D₄	1	4	yes	—
439	C₂×#418	#41	1	4	yes	complemented
440	C₂×#416	C₂×D₄	1	4	yes	—
441	C₂×#416	C₂×D₄	1	4	yes	—
442	C₂×#416	C₂×D₄	1	4	yes	—
443	C₂×#413	C₂×D₄	1	4	yes	—
444	C₂²×#99	C₂×D₄	1	4	yes	—
445	#2879	C₂×D₄	1	4	yes	—
446	#2879	C₂×D₄	1	4	yes	—
447	#2879	C₂×D₄	1	4	yes	—
448	C₂×#407	C₂×D₄	1	4	yes	—
449	C₂×#407	C₂×D₄	1	4	yes	—
450	C₂×#407	C₂×D₄	1	4	yes	—
451	C₂×#407	C₂×D₄	1	4	yes	—
452	#2873	C₂×D₄	1	4	yes	—
453	#2308	C₂×D₄	1	4	yes	—
454	C₂×#390	#41	1	4	yes	complemented
455	C₂×#381	C₂×D₄	1	2	yes	—
456	C₂×#381	C₂×D₄	1	2	yes	—
457	C₂×#379	C₂×D₄	1	2	yes	—
458	C₂×#379	C₂×D₄	1	2	yes	—
459	C₂×#344	C₂×D₄	1	4	yes	—
460	C₂×#344	C₂×D₄	1	4	yes	—
461	C₂×#342	C₂×D₄	1	4	yes	—
462	C₂×#342	C₂×D₄	1	4	yes	—
463	C₂⁶	C₂²×D₄	1	1	yes	characteristic
464	C₂²×#41	C₂²×D₄	1	2	yes	—
465	C₂²×#41	C₂²×D₄	1	2	yes	—
466	C₂²×#41	C₂²×D₄	1	2	yes	—
467	C₂²×#41	C₂²×D₄	1	2	yes	—
468	C₂²×#41	C₂²×D₄	1	2	yes	—
469	C₂²×#41	C₂²×D₄	1	2	yes	—
470	C₂²×#41	C₂²×D₄	1	2	yes	—
471	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
472	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
473	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
474	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
475	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
476	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
477	C₂³×D₄	C₂²×D₄	1	2	yes	—
478	C₂³×D₄	C₂²×D₄	1	2	yes	—
479	C₂³×D₄	C₂²×D₄	1	2	yes	—
480	C₂³×D₄	C₂²×D₄	1	2	yes	—
481	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
482	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
483	C₂³×D₄	C₂²×D₄	1	2	yes	—
484	C₂³×D₄	C₂²×D₄	1	2	yes	—
485	C₂³×D₄	C₂²×D₄	1	2	yes	—
486	C₂³×D₄	C₂×#41	1	2	yes	—
487	C₂³×D₄	C₂×#41	1	2	yes	—
488	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
489	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
490	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
491	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
492	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
493	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
494	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
495	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
496	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
497	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
498	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
499	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
500	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
501	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
502	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
503	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
504	C₂²×Q₁₆	#120	1	4	yes	complemented
505	C₂²×SD₁₆	#120	1	4	yes	complemented
506	C₂²×SD₁₆	#120	1	4	yes	complemented
507	C₂²×D₈	#120	1	4	yes	complemented
508	C₂²×M₁₆	#120	1	8	yes	complemented
509	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
510	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
511	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
512	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
513	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
514	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
515	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
516	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
517	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
518	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
519	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
520	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
521	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
522	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
523	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
524	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
525	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
526	C₂²×M₁₆	C₂×#41	1	2	yes	—
527	C₂³×C₈	#120	1	8	yes	complemented
528	C₂³×C₈	C₂²×D₄	1	2	yes	—
529	C₂³×C₈	C₂²×D₄	1	2	yes	—
530	C₂³×C₈	C₂²×D₄	1	2	yes	—
531	C₂³×C₈	H(5,𝔽₂)	1	2	yes	—
532	C₂×#123	#127	1	8	yes	—
533	C₂×#120	#127	1	8	yes	—
534	C₂×#117	C₂²×D₄	1	2	yes	—
535	C₂×#117	C₂²×D₄	1	2	yes	—
536	C₂×#117	C₂²×D₄	1	2	yes	—
537	C₂×#117	C₂²×D₄	1	2	yes	—
538	C₂×#117	C₂²×D₄	1	2	yes	—
539	C₂×#117	C₂²×D₄	1	2	yes	—
540	C₂×#117	C₂²×D₄	1	2	yes	—
541	C₂×#117	C₂²×D₄	1	2	yes	—
542	C₂×#117	C₂²×D₄	1	2	yes	—
543	C₂×#117	C₂²×D₄	1	2	yes	—
544	C₂×#117	C₂²×D₄	1	2	yes	—
545	C₂×#117	C₂²×D₄	1	2	yes	—
546	C₂×#117	C₂²×D₄	1	2	yes	—
547	C₂×#117	C₂²×D₄	1	2	yes	—
548	C₂×#117	C₂²×D₄	1	2	yes	—
549	C₂×#117	C₂²×D₄	1	2	yes	—
550	C₂×#117	C₂×#41	1	2	yes	—
551	C₂×#117	H(5,𝔽₂)	1	2	yes	—
552	C₂×#117	H(5,𝔽₂)	1	2	yes	—
553	C₂×#117	H(5,𝔽₂)	1	2	yes	—
554	C₂×#117	H(5,𝔽₂)	1	2	yes	—
555	C₂²×C₄⋊C₄	C₂×#41	1	2	yes	—
556	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
557	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
558	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
559	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
560	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
561	C₂²×C₄²	C₂×#41	1	2	yes	—
562	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
563	#427	#120	1	16	yes	complemented
564	#424	#120	1	16	yes	complemented
565	#418	#120	1	16	yes	—
566	#418	#120	1	16	yes	complemented
567	#407	#120	1	16	yes	complemented
568	C₂⁵	C₂×#127	1	2	yes	—
569	C₂⁵	D₄²	1	1	yes	characteristic
570	C₂⁵	D₄²	1	2	yes	—
571	C₂⁵	D₄²	1	2	yes	—
572	C₂⁵	D₄²	1	1	yes	characteristic
573	C₂⁵	C₂³×D₄	1	1	yes	characteristic
574	C₂²×Q₈	C₂×#120	1	2	yes	—
575	C₂²×Q₈	C₂×#120	1	2	yes	—
576	C₂²×Q₈	#535	1	2	yes	—
577	C₂²×Q₈	D₄²	1	2	yes	—
578	C₂²×D₄	C₂×#120	1	2	yes	—
579	C₂²×D₄	C₂×#120	1	2	yes	—
580	C₂²×D₄	C₂×#120	1	4	yes	—
581	C₂²×D₄	C₂×#120	1	4	yes	—
582	C₂²×D₄	C₂×#127	1	4	yes	—
583	C₂²×D₄	#532	1	4	yes	—
584	C₂²×D₄	#535	1	2	yes	—
585	C₂²×D₄	#535	1	4	yes	—
586	C₂²×D₄	D₄²	1	4	yes	—
587	C₂²×D₄	D₄²	1	2	yes	—
588	C₂²×D₄	#546	1	4	yes	—
589	C₂²×D₄	#546	1	4	yes	—
590	C₂²×D₄	#550	1	4	yes	—
591	C₂²×D₄	#550	1	4	yes	—
592	C₂³×C₄	C₂×#120	1	2	yes	—
593	C₂³×C₄	C₂×#120	1	4	yes	—
594	C₂³×C₄	C₂×#120	1	2	yes	—
595	C₂³×C₄	C₂×#127	1	2	yes	—
596	C₂³×C₄	#535	1	2	yes	—
597	C₂³×C₄	#535	1	2	yes	—
598	C₂³×C₄	D₄²	1	2	yes	—
599	C₂³×C₄	D₄²	1	1	yes	characteristic
600	C₂³×C₄	D₄²	1	2	yes	—
601	C₂³×C₄	D₄²	1	1	yes	characteristic
602	C₂³×C₄	D₄²	1	2	yes	—
603	C₂³×C₄	D₄²	1	2	yes	—
604	C₂³×C₄	D₄²	1	4	yes	—
605	C₂³×C₄	D₄²	1	2	yes	—
606	C₂³×C₄	D₄²	1	2	yes	—
607	C₂³×C₄	#546	1	4	yes	—
608	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
609	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
610	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
611	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
612	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
613	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
614	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
615	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
616	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
617	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
618	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
619	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
620	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
621	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
622	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
623	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
624	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
625	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
626	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
627	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
628	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
629	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
630	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
631	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
632	C₂³×C₄	#585	1	1	yes	characteristic
633	C₂³×C₄	#585	1	1	yes	characteristic
634	C₂³×C₄	#585	1	1	yes	characteristic
635	C₂³×C₄	#585	1	1	yes	characteristic
636	C₂³×C₄	#585	1	1	yes	characteristic
637	C₂³×C₄	#585	1	1	yes	characteristic
638	C₂×M₁₆	C₂×#120	1	4	yes	—
639	C₂×M₁₆	C₂×#120	1	4	yes	—
640	C₂×M₁₆	C₂×#120	1	4	yes	—
641	C₂×M₁₆	C₂×#120	1	4	yes	—
642	C₂×M₁₆	C₂×#120	1	4	yes	—
643	C₂²×C₈	C₂×#120	1	4	yes	—
644	C₂²×C₈	C₂×#120	1	4	yes	—
645	C₂²×C₈	C₂×#120	1	4	yes	—
646	C₂²×C₈	C₂×#120	1	4	yes	—
647	C₂²×C₈	C₂×#120	1	4	yes	—
648	C₂²×C₈	#546	1	4	yes	—
649	#117	C₂×#120	1	4	yes	—
650	#117	C₂×#120	1	4	yes	—
651	#117	C₂×#120	1	4	yes	—
652	#117	C₂×#120	1	4	yes	—
653	#117	C₂×#120	1	4	yes	—
654	#117	#535	1	4	yes	—
655	#117	D₄²	1	4	yes	—
656	#117	D₄²	1	4	yes	—
657	C₂×C₂²⋊C₄	C₂×#127	1	4	yes	—
658	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
659	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
660	C₂⁴	#2433	1	2	yes	—
661	C₂⁴	#2433	1	4	yes	—
662	C₂⁴	#2433	1	2	yes	—
663	C₂⁴	C₂²×#127	1	1	yes	characteristic
664	C₂⁴	C₂×D₄²	1	1	yes	characteristic
665	C₂⁴	C₂×D₄²	1	1	yes	characteristic
666	C₂⁴	C₂×D₄²	1	1	yes	characteristic
667	C₂⁴	C₂×D₄²	1	1	yes	characteristic
668	C₂⁴	C₂×D₄²	1	1	yes	characteristic
669	C₂⁴	C₂×D₄²	1	1	yes	characteristic
670	C₂⁴	C₂×#546	1	1	yes	characteristic
671	C₂⁴	D₄×#41	1	1	yes	characteristic
672	C₂⁴	#3484	1	1	yes	characteristic
673	C₂⁴	#3484	1	1	yes	characteristic
674	C₂⁴	#3488	1	1	yes	characteristic
675	C₂⁴	#3488	1	1	yes	characteristic
676	C₂⁴	#3496	1	1	yes	characteristic
677	C₂⁴	#3500	1	1	yes	characteristic
678	C₂×D₄	#2431	1	8	yes	—
679	C₂²×C₄	#2433	1	2	yes	—
680	C₂²×C₄	#2433	1	4	yes	—
681	C₂²×C₄	#2433	1	2	yes	—
682	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
683	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
684	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
685	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
686	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
687	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
688	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
689	C₂²×C₄	C₂×#532	1	1	yes	characteristic
690	C₂²×C₄	C₂×#535	1	1	yes	characteristic
691	C₂²×C₄	C₂×#535	1	1	yes	characteristic
692	C₂²×C₄	C₂×#535	1	1	yes	characteristic
693	C₂²×C₄	C₂×#535	1	1	yes	characteristic
694	C₂²×C₄	#3449	1	1	yes	characteristic
695	C₂²×C₄	#3449	1	1	yes	characteristic
696	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
697	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
698	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
699	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
700	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
701	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
702	C₂²×C₄	C₂×#546	1	1	yes	characteristic
703	C₂²×C₄	C₂×#546	1	1	yes	characteristic
704	C₂²×C₄	C₂×#546	1	1	yes	characteristic
705	C₂²×C₄	C₂×#550	1	1	yes	characteristic
706	C₂²×C₄	C₂×#550	1	1	yes	characteristic
707	C₂²×C₄	D₄×#41	1	1	yes	characteristic
708	C₂²×C₄	D₄×#41	1	1	yes	characteristic
709	C₂²×C₄	D₄×#41	1	1	yes	characteristic
710	C₂²×C₄	D₄×#41	1	1	yes	characteristic
711	C₂²×C₄	D₄×#41	1	1	yes	characteristic
712	C₂²×C₄	D₄×#41	1	1	yes	characteristic
713	C₂²×C₄	D₄×#41	1	1	yes	characteristic
714	C₂²×C₄	D₄×#41	1	1	yes	characteristic
715	C₂²×C₄	D₄×#41	1	1	yes	characteristic
716	C₂²×C₄	#3484	1	1	yes	characteristic
717	C₂²×C₄	#3484	1	1	yes	characteristic
718	C₂²×C₄	#3484	1	1	yes	characteristic
719	C₂²×C₄	#3484	1	1	yes	characteristic
720	C₂²×C₄	#3484	1	1	yes	characteristic
721	C₂²×C₄	#3484	1	1	yes	characteristic
722	C₂²×C₄	#3484	1	1	yes	characteristic
723	C₂²×C₄	#3484	1	1	yes	characteristic
724	C₂²×C₄	#3484	1	1	yes	characteristic
725	C₂²×C₄	#3484	1	1	yes	characteristic
726	C₂²×C₄	#3484	1	1	yes	characteristic
727	C₂²×C₄	#3484	1	1	yes	characteristic
728	C₂²×C₄	#3484	1	1	yes	characteristic
729	C₂²×C₄	#3484	1	1	yes	characteristic
730	C₂²×C₄	#3484	1	1	yes	characteristic
731	C₂²×C₄	#3484	1	1	yes	characteristic
732	C₂²×C₄	#3484	1	1	yes	characteristic
733	C₂²×C₄	#3484	1	1	yes	characteristic
734	C₂²×C₄	#3484	1	1	yes	characteristic
735	C₂²×C₄	#3484	1	1	yes	characteristic
736	C₂²×C₄	#3484	1	1	yes	characteristic
737	C₂²×C₄	#3484	1	1	yes	characteristic
738	C₂²×C₄	#3484	1	1	yes	characteristic
739	C₂²×C₄	#3484	1	1	yes	characteristic
740	C₂²×C₄	#3484	1	1	yes	characteristic
741	C₂²×C₄	#3485	1	1	yes	characteristic
742	C₂²×C₄	#3485	1	1	yes	characteristic
743	C₂²×C₄	#3485	1	1	yes	characteristic
744	C₂²×C₄	#3487	1	1	yes	characteristic
745	C₂²×C₄	#3487	1	1	yes	characteristic
746	C₂²×C₄	#3488	1	1	yes	characteristic
747	C₂²×C₄	#3488	1	1	yes	characteristic
748	C₂²×C₄	#3488	1	1	yes	characteristic
749	C₂²×C₄	#3488	1	1	yes	characteristic
750	C₂²×C₄	#3488	1	1	yes	characteristic
751	C₂²×C₄	#3488	1	1	yes	characteristic
752	C₂²×C₄	#3488	1	1	yes	characteristic
753	C₂²×C₄	#3488	1	1	yes	characteristic
754	C₂²×C₄	#3488	1	1	yes	characteristic
755	C₂²×C₄	#3488	1	1	yes	characteristic
756	C₂²×C₄	#3488	1	1	yes	characteristic
757	C₂²×C₄	#3488	1	1	yes	characteristic
758	C₂²×C₄	#3488	1	1	yes	characteristic
759	C₂²×C₄	#3488	1	1	yes	characteristic
760	C₂²×C₄	#3490	1	1	yes	characteristic
761	C₂²×C₄	#3490	1	1	yes	characteristic
762	C₂²×C₄	#3494	1	1	yes	characteristic
763	C₂²×C₄	#3494	1	1	yes	characteristic
764	C₂²×C₄	#3496	1	1	yes	characteristic
765	C₂²×C₄	#3496	1	1	yes	characteristic
766	C₂²×C₄	#3496	1	1	yes	characteristic
767	C₂²×C₄	#3496	1	1	yes	characteristic
768	C₂²×C₄	#3496	1	1	yes	characteristic
769	C₂²×C₄	#3496	1	1	yes	characteristic
770	C₂²×C₄	#3496	1	1	yes	characteristic
771	C₂²×C₄	#3496	1	1	yes	characteristic
772	C₂²×C₄	#3496	1	1	yes	characteristic
773	C₂²×C₄	#3498	1	1	yes	characteristic
774	C₂²×C₄	#3498	1	1	yes	characteristic
775	C₂²×C₄	#3498	1	1	yes	characteristic
776	C₂²×C₄	#3498	1	1	yes	characteristic
777	C₂²×C₄	#3500	1	1	yes	characteristic
778	C₂²×C₄	#3508	1	1	yes	characteristic
779	C₂²×C₄	#3508	1	1	yes	characteristic
780	C₂²×C₄	#3519	1	1	yes	characteristic
781	C₂²×C₄	#3519	1	1	yes	characteristic
782	C₂²×C₄	#3519	1	1	yes	characteristic
783	C₂²×C₄	#3519	1	1	yes	characteristic
784	C₂²×C₄	#3519	1	1	yes	characteristic
785	C₂²×C₄	#3519	1	1	yes	characteristic
786	C₂²×C₄	#3532	1	1	yes	characteristic
787	C₂²×C₄	#3532	1	1	yes	characteristic
788	C₂²×C₄	#3532	1	1	yes	characteristic
789	C₂²×C₄	#3532	1	1	yes	characteristic
790	C₂²×C₄	#3532	1	1	yes	characteristic
791	C₂²×C₄	#3532	1	1	yes	characteristic
792	C₂²×C₄	#3533	1	1	yes	characteristic
793	C₂²×C₄	#3533	1	1	yes	characteristic
794	C₂²×C₄	#3534	1	1	yes	characteristic
795	C₂²×C₄	#3534	1	1	yes	characteristic
796	C₂²×C₄	#3534	1	1	yes	characteristic
797	C₂²×C₄	#3534	1	1	yes	characteristic
798	C₂²×C₄	#3534	1	1	yes	characteristic
799	C₂²×C₄	#3534	1	1	yes	characteristic
800	C₂²×C₄	#3534	1	1	yes	characteristic
801	C₂²×C₄	#3534	1	1	yes	characteristic
802	C₂²×C₄	#3534	1	1	yes	characteristic
803	C₂²×C₄	#3534	1	1	yes	characteristic
804	C₂²×C₄	#3542	1	1	yes	characteristic
805	C₂²×C₄	#3542	1	1	yes	characteristic
806	C₂²×C₄	#3542	1	1	yes	characteristic
807	C₂²×C₄	#3542	1	1	yes	characteristic
808	C₂²×C₄	#3542	1	1	yes	characteristic
809	C₂²×C₄	#3542	1	1	yes	characteristic
810	C₂²×C₄	#3543	1	1	yes	characteristic
811	C₂²×C₄	#3543	1	1	yes	characteristic
812	C₂²×C₄	#3546	1	1	yes	characteristic
813	C₂²×C₄	#3546	1	1	yes	characteristic
814	C₂²×C₄	#3558	1	1	yes	characteristic
815	C₂²×C₄	#3558	1	1	yes	characteristic
816	C₂²×C₄	#3558	1	1	yes	characteristic
817	C₂²×C₄	#3558	1	1	yes	characteristic
818	C₂²×C₄	#3560	1	1	yes	characteristic
819	C₂²×C₄	#3560	1	1	yes	characteristic
820	C₂²×C₄	#3562	1	1	yes	characteristic
821	C₂²×C₄	#3562	1	1	yes	characteristic
822	C₂×C₈	#2846	1	8	yes	—
823	C₂²⋊C₄	#2433	1	8	yes	—
824	C₂³	C₂×#2433	1	1	yes	characteristic
825	C₂³	C₂×#2433	1	1	yes	characteristic
826	C₂³	C₂×#2433	1	1	yes	characteristic
827	C₂³	#35921	1	1	yes	characteristic
828	C₂³	#35921	1	1	yes	characteristic
829	C₂³	D₄×#120	1	1	yes	characteristic
830	C₂³	D₄×#120	1	1	yes	characteristic
831	C₂³	D₄×#120	1	1	yes	characteristic
832	C₂³	D₄×#120	1	1	yes	characteristic
833	C₂³	#36123	1	1	yes	characteristic
834	C₂³	#36260	1	1	yes	characteristic
835	C₂³	#36260	1	1	yes	characteristic
836	C₂³	#37645	1	1	yes	characteristic
837	C₂³	#37652	1	1	yes	characteristic
838	C₂³	#39354	1	1	yes	characteristic
839	C₂³	#43023	1	1	yes	characteristic
840	C₂³	#43098	1	1	yes	characteristic
841	C₂³	#43098	1	1	yes	characteristic
842	C₂³	#43886	1	1	yes	characteristic
843	C₂³	#43889	1	1	yes	characteristic
844	C₂³	#43904	1	1	yes	characteristic
845	C₂³	#44868	1	1	yes	characteristic
846	C₂³	#44877	1	1	yes	characteristic
847	C₂³	#44886	1	1	yes	characteristic
848	C₂³	#45263	1	1	yes	characteristic
849	C₂³	#58991	1	1	yes	characteristic
850	C₂³	#58992	1	1	yes	characteristic
851	C₂³	#59003	1	1	yes	characteristic
852	C₂³	#59004	1	1	yes	characteristic
853	C₂³	#59095	1	1	yes	characteristic
854	C₂³	#59122	1	1	yes	characteristic
855	C₂³	#59123	1	1	yes	characteristic
856	C₂³	#59123	1	1	yes	characteristic
857	C₂³	#59124	1	1	yes	characteristic
858	C₂³	#59129	1	1	yes	characteristic
859	C₂×C₄	C₂×#2431	1	1	yes	characteristic
860	C₂×C₄	#34738	1	1	yes	characteristic
861	C₂×C₄	#34738	1	1	yes	characteristic
862	C₂×C₄	#35149	1	1	yes	characteristic
863	C₂×C₄	#35222	1	1	yes	characteristic
864	C₂×C₄	#35222	1	1	yes	characteristic
865	C₂×C₄	#35222	1	1	yes	characteristic
866	C₂×C₄	#35250	1	1	yes	characteristic
867	C₂×C₄	#35250	1	1	yes	characteristic
868	C₂×C₄	#35346	1	1	yes	characteristic
869	C₂×C₄	#35346	1	1	yes	characteristic
870	C₂×C₄	#35347	1	1	yes	characteristic
871	C₂×C₄	#35347	1	1	yes	characteristic
872	C₂×C₄	#35512	1	1	yes	characteristic
873	C₂×C₄	#35527	1	1	yes	characteristic
874	C₂×C₄	#35680	1	1	yes	characteristic
875	C₂×C₄	#35680	1	1	yes	characteristic
876	C₂×C₄	#35680	1	1	yes	characteristic
877	C₂×C₄	#35680	1	1	yes	characteristic
878	C₂×C₄	#35680	1	1	yes	characteristic
879	C₂×C₄	#35680	1	1	yes	characteristic
880	C₂×C₄	#35680	1	1	yes	characteristic
881	C₂×C₄	#35680	1	1	yes	characteristic
882	C₂×C₄	#35694	1	1	yes	characteristic
883	C₂×C₄	#35694	1	1	yes	characteristic
884	C₂×C₄	D₄×#120	1	1	yes	characteristic
885	C₂×C₄	D₄×#120	1	1	yes	characteristic
886	C₂×C₄	D₄×#120	1	1	yes	characteristic
887	C₂×C₄	D₄×#120	1	1	yes	characteristic
888	C₂×C₄	#36123	1	1	yes	characteristic
889	C₂×C₄	#36212	1	1	yes	characteristic
890	C₂×C₄	#36212	1	1	yes	characteristic
891	C₂×C₄	#36212	1	1	yes	characteristic
892	C₂×C₄	#36212	1	1	yes	characteristic
893	C₂×C₄	#36429	1	1	yes	characteristic
894	C₂×C₄	#36429	1	1	yes	characteristic
895	C₂×C₄	#36429	1	1	yes	characteristic
896	C₂×C₄	#36429	1	1	yes	characteristic
897	C₂×C₄	C₂×#2846	1	1	yes	characteristic
898	C₂×C₄	#37645	1	1	yes	characteristic
899	C₂×C₄	#37652	1	1	yes	characteristic
900	C₂×C₄	#38358	1	1	yes	characteristic
901	C₂×C₄	#38358	1	1	yes	characteristic
902	C₂×C₄	#38423	1	1	yes	characteristic
903	C₂×C₄	#38423	1	1	yes	characteristic
904	C₂×C₄	#39354	1	1	yes	characteristic
905	C₂×C₄	#39876	1	1	yes	characteristic
906	C₂×C₄	#39876	1	1	yes	characteristic
907	C₂×C₄	#40485	1	1	yes	characteristic
908	C₂×C₄	#40485	1	1	yes	characteristic
909	C₂×C₄	#40496	1	1	yes	characteristic
910	C₂×C₄	#40496	1	1	yes	characteristic
911	C₂×C₄	#40512	1	1	yes	characteristic
912	C₂×C₄	#40512	1	1	yes	characteristic
913	C₂×C₄	#40588	1	1	yes	characteristic
914	C₂×C₄	#40588	1	1	yes	characteristic
915	C₂×C₄	#40597	1	1	yes	characteristic
916	C₂×C₄	#40597	1	1	yes	characteristic
917	C₂×C₄	#42438	1	1	yes	characteristic
918	C₂×C₄	#42438	1	1	yes	characteristic
919	C₂×C₄	#43023	1	1	yes	characteristic
920	C₂×C₄	#43095	1	1	yes	characteristic
921	C₂×C₄	#43095	1	1	yes	characteristic
922	C₂×C₄	#43098	1	1	yes	characteristic
923	C₂×C₄	#43098	1	1	yes	characteristic
924	C₂×C₄	#43099	1	1	yes	characteristic
925	C₂×C₄	#43099	1	1	yes	characteristic
926	C₂×C₄	#43107	1	1	yes	characteristic
927	C₂×C₄	#43107	1	1	yes	characteristic
928	C₂×C₄	#43113	1	1	yes	characteristic
929	C₂×C₄	#43113	1	1	yes	characteristic
930	C₂×C₄	#43118	1	1	yes	characteristic
931	C₂×C₄	#43118	1	1	yes	characteristic
932	C₂×C₄	#43118	1	1	yes	characteristic
933	C₂×C₄	#43118	1	1	yes	characteristic
934	C₂×C₄	#43886	1	1	yes	characteristic
935	C₂×C₄	#43887	1	1	yes	characteristic
936	C₂×C₄	#43887	1	1	yes	characteristic
937	C₂×C₄	#43889	1	1	yes	characteristic
938	C₂×C₄	#43894	1	1	yes	characteristic
939	C₂×C₄	#43894	1	1	yes	characteristic
940	C₂×C₄	#43896	1	1	yes	characteristic
941	C₂×C₄	#43896	1	1	yes	characteristic
942	C₂×C₄	#43901	1	1	yes	characteristic
943	C₂×C₄	#43901	1	1	yes	characteristic
944	C₂×C₄	#43904	1	1	yes	characteristic
945	C₂×C₄	#44868	1	1	yes	characteristic
946	C₂×C₄	#44877	1	1	yes	characteristic
947	C₂×C₄	#44886	1	1	yes	characteristic
948	C₂×C₄	#45263	1	1	yes	characteristic
949	C₂×C₄	#47826	1	1	yes	characteristic
950	C₂×C₄	#47826	1	1	yes	characteristic
951	C₂×C₄	#47830	1	1	yes	characteristic
952	C₂×C₄	#47830	1	1	yes	characteristic
953	C₂×C₄	#47840	1	1	yes	characteristic
954	C₂×C₄	#47840	1	1	yes	characteristic
955	C₂×C₄	#47844	1	1	yes	characteristic
956	C₂×C₄	#47844	1	1	yes	characteristic
957	C₂×C₄	#47927	1	1	yes	characteristic
958	C₂×C₄	#47927	1	1	yes	characteristic
959	C₂×C₄	#47934	1	1	yes	characteristic
960	C₂×C₄	#47934	1	1	yes	characteristic
961	C₂×C₄	#47944	1	1	yes	characteristic
962	C₂×C₄	#47944	1	1	yes	characteristic
963	C₂×C₄	#47952	1	1	yes	characteristic
964	C₂×C₄	#47952	1	1	yes	characteristic
965	C₂×C₄	#51889	1	1	yes	characteristic
966	C₂×C₄	#51889	1	1	yes	characteristic
967	C₂×C₄	#51893	1	1	yes	characteristic
968	C₂×C₄	#51893	1	1	yes	characteristic
969	C₂×C₄	#58991	1	1	yes	characteristic
970	C₂×C₄	#58992	1	1	yes	characteristic
971	C₂×C₄	#59003	1	1	yes	characteristic
972	C₂×C₄	#59004	1	1	yes	characteristic
973	C₂×C₄	#59095	1	1	yes	characteristic
974	C₂×C₄	#59122	1	1	yes	characteristic
975	C₂×C₄	#59123	1	1	yes	characteristic
976	C₂×C₄	#59123	1	1	yes	characteristic
977	C₂×C₄	#59124	1	1	yes	characteristic
978	C₂×C₄	#59129	1	1	yes	characteristic
979	C₂²	#612801	1	1	yes	characteristic
980	C₂²	#674654	1	1	yes	characteristic
981	C₂²	#719142	1	1	yes	characteristic
982	C₂²	#773782	1	1	yes	characteristic
983	C₂²	#773782	1	1	yes	characteristic
984	C₂²	#773788	1	1	yes	characteristic
985	C₂²	#773788	1	1	yes	characteristic
986	C₂²	#778498	1	1	yes	characteristic
987	C₂²	#781994	1	1	yes	characteristic
988	C₂²	#1258515	1	1	yes	characteristic
989	C₂²	#1258518	1	1	yes	characteristic
990	C₂²	#1418391	1	1	yes	characteristic
991	C₂²	#1418398	1	1	yes	characteristic
992	C₂²	#1420268	1	1	yes	characteristic
993	C₂²	#1420269	1	1	yes	characteristic
994	C₄	#613444	1	1	yes	characteristic
995	C₄	#741985	1	1	yes	characteristic
996	C₄	#778498	1	1	yes	characteristic
997	C₄	#781994	1	1	yes	characteristic
998	C₄	#1258515	1	1	yes	characteristic
999	C₄	#1258518	1	1	yes	characteristic
1000	C₄	#1265729	1	1	yes	characteristic
1001	C₄	#1265729	1	1	yes	characteristic
1002	C₄	#1266722	1	1	yes	characteristic
1003	C₄	#1266722	1	1	yes	characteristic
1004	C₄	#1418391	1	1	yes	characteristic
1005	C₄	#1418398	1	1	yes	characteristic
1006	C₄	#1420268	1	1	yes	characteristic
1007	C₄	#1420269	1	1	yes	characteristic
1008	C₄	#4418476	1	1	yes	characteristic
1009	C₄	#4928938	1	1	yes	characteristic
1010	C₂	#72240435	1	2	yes	—
1011	C₂	#72251010	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#1418391
commutator, Frattini, cosocle	C₂⁴×C₄	C₂⁵
LCS	G ▷ C₂⁴×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁴×C₄ ◁ G
LECS	G ▷ C₂⁴×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72251326	C₂	semidirect
2. #72251324	C₂	semidirect
3. #72251323	C₂	semidirect
4. #72251322	C₂	semidirect
5. #72251321	C₂	semidirect
6. #72251320	C₂	semidirect
7. #72251319	C₂	semidirect
8. #72251318	C₂	semidirect
9. C₂×#432256	C₂	semidirect
10. #72251316	C₂	semidirect
11. #72251314	C₂	semidirect
12. #72251312	C₂	semidirect
13. #72251311	C₂	semidirect
14. #72251310	C₂	semidirect
15. C₂×#430079	C₂	semidirect
16. #72251308	C₂	semidirect
17. #72251307	C₂	semidirect
18. #72251201	C₂	semidirect
19. #72251130	C₂	semidirect
20. C₂×#404012	C₂	semidirect
21. #72238034	C₂	semidirect
22. #72237714	C₂	semidirect
23. C₂×#10576378	C₂	semidirect
24. #72237698	C₂	semidirect
25. C₂×#395191	C₂	semidirect
26. #72237672	C₂	semidirect
27. #72237666	C₂	semidirect
28. #72237651	C₂	semidirect
29. #72236744	C₂	semidirect
30. C₂×#394321	C₂	semidirect
31. C₂×#394102	C₂	semidirect
34. #10575251	C₂²	semidirect
42. C₂×#60444	C₂²	semidirect
53. C₂×#23535	C₂²	semidirect
54. C₂×#23474	C₂²	semidirect
55. C₂×#23472	C₂²	semidirect
56. #6431794	C₂²	semidirect
62. C₂×#23443	C₂²	semidirect
63. #6431766	C₂²	semidirect
64. #6431764	C₂²	semidirect
65. C₂×#23414	C₂²	semidirect
66. C₂×#23414	C₂²	semidirect
68. C₂²×#2010	C₂²	semidirect
72. C₂²×#2008	C₂²	semidirect
75. C₂×#21244	C₂²	semidirect
76. C₂×#21244	C₂²	semidirect
77. C₂×#21014	C₂²	semidirect
78. C₂×#21012	C₂²	semidirect
79. C₂×#21009	C₂²	semidirect
80. C₂×#21009	C₂²	semidirect
81. C₂×#20998	C₂²	semidirect
83. #6371503	C₂²	semidirect
85. C₂×#20983	C₂²	semidirect
86. C₂×#20979	C₂²	semidirect
90. #6369812	C₂²	semidirect
92. C₂×#11389	C₂²	semidirect
93. #358789	C₂²	semidirect
94. C₂×#11361	C₂²	semidirect
95. C₂×#11361	C₂²	semidirect
96. C₂×#11234	C₂²	semidirect
97. C₂×#11132	C₂²	semidirect
98. C₂×#11132	C₂²	semidirect
100. C₂×#11129	C₂²	semidirect
101. C₂×#11119	C₂²	semidirect
102. C₂×#11115	C₂²	semidirect
103. C₂×#11102	C₂²	semidirect
107. C₂×#11030	C₂²	semidirect
109. #357564	C₂²	semidirect
110. #357564	C₂²	semidirect
111. #357564	C₂²	semidirect
112. C₂×#11012	C₂²	semidirect
113. C₂×#11012	C₂²	semidirect
114. C₂×#11012	C₂²	semidirect
118. C₂×#11004	C₂²	semidirect
119. C₂×#11000	C₂²	semidirect
121. C₂×#10994	C₂²	semidirect
122. C₂×#10994	C₂²	semidirect
123. C₂×#10994	C₂²	semidirect
129. #357529	C₂²	semidirect
130. #357524	C₂²	semidirect
131. #357524	C₂²	semidirect
132. #357524	C₂²	semidirect
133. #357493	C₂²	semidirect
134. C₂×#11006	C₂²	semidirect
135. #357486	C₂²	semidirect
136. #357486	C₂²	semidirect
137. #357486	C₂²	semidirect
139. #357443	C₂²	semidirect
140. C₂×#10951	C₂²	semidirect
141. C₂×#10951	C₂²	semidirect
142. C₂×#10941	C₂²	semidirect
145. C₂×#10948	C₂²	semidirect
146. C₂×#10948	C₂²	semidirect
147. #354035	C₂²	semidirect
148. #353985	C₂²	semidirect
149. C₂×#10917	C₂²	semidirect
150. #353662	C₂²	semidirect
152. C₂×#10783	C₂²	semidirect
153. #353448	C₂²	semidirect
154. #353434	C₂²	semidirect
155. #353430	C₂²	semidirect
156. C₂×#10743	C₂²	semidirect
158. #353407	C₂²	semidirect
159. #353346	C₂²	semidirect
160. C₂×#10729	C₂²	semidirect
161. C₂×#10717	C₂²	semidirect
162. C₂×#10716	C₂²	semidirect
163. #123999	C₂²	semidirect
164. #123975	C₂²	semidirect
165. #123904	C₂²	semidirect
166. #123896	C₂²	semidirect
167. #123637	C₂²	semidirect
168. #123637	C₂²	semidirect
169. #123637	C₂²	semidirect
170. #123627	C₂²	semidirect
171. #123618	C₂²	semidirect
172. #123600	C₂²	semidirect
173. #123568	C₂²	semidirect
174. #123568	C₂²	semidirect
175. #123568	C₂²	semidirect
180. #123560	C₂²	semidirect
181. #123560	C₂²	semidirect
182. #123547	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123535	C₂²	semidirect
185. #123498	C₂²	semidirect
186. #123495	C₂²	semidirect
218. #60518	D₄	semidirect
219. #60490	D₄	semidirect
220. C₂×#3054	D₄	semidirect
221. C₂×#3050	D₄	semidirect
222. C₂×#3043	D₄	semidirect
223. C₂×#3041	D₄	semidirect
224. C₂×#3005	D₄	semidirect
225. C₂×#3003	D₄	semidirect
226. #60141	D₄	semidirect
252. C₂²×#418	D₄	semidirect
352. #10993	D₄	semidirect
439. C₂×#418	#41	semidirect
454. C₂×#390	#41	semidirect
504. C₂²×Q₁₆	#120	semidirect
505. C₂²×SD₁₆	#120	semidirect
506. C₂²×SD₁₆	#120	semidirect
507. C₂²×D₈	#120	semidirect
508. C₂²×M₁₆	#120	semidirect
527. C₂³×C₈	#120	semidirect
563. #427	#120	semidirect
564. #424	#120	semidirect
566. #418	#120	semidirect
567. #407	#120	semidirect

Maximal subgroups

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

subgroup	index
#72251326	2
#72251324	2
#72251323	2
#72251322	2
#72251321	2
#72251320	2
#72251319	2
#72251318	2
C₂×#432256	2
#72251316	2
#72251314	2
#72251312	2
#72251311	2
#72251310	2
C₂×#430079	2
#72251308	2
#72251307	2
#72251201	2
#72251130	2
C₂×#404012	2
#72238034	2
#72237714	2
C₂×#10576378	2
#72237698	2
C₂×#395191	2
#72237672	2
#72237666	2
#72237651	2
#72236744	2
C₂×#394321	2
C₂×#394102	2