Subgroups — #72255604

Order 2048.

At least 15052 conjugacy classes of subgroups; only the 1580 normal subgroups are shown.

The subgroup lattice has 1020 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72255601	C₂	1	1	yes	maximal, characteristic, complemented
2	#72255599	C₂	1	1	yes	maximal, characteristic, complemented
3	#72255598	C₂	1	1	yes	maximal, characteristic, complemented
4	#72255597	C₂	1	1	yes	maximal, characteristic, complemented
5	#72255596	C₂	1	1	yes	maximal, characteristic, complemented
6	#72255594	C₂	1	1	yes	maximal, characteristic, complemented
7	#72255589	C₂	1	1	yes	maximal, characteristic, complemented
8	#72252214	C₂	1	1	yes	maximal, characteristic, complemented
9	#72252213	C₂	1	1	yes	maximal, characteristic, complemented
10	#72252212	C₂	1	1	yes	maximal, characteristic, complemented
11	#72252211	C₂	1	1	yes	maximal, characteristic, complemented
12	#72252179	C₂	1	1	yes	maximal, characteristic, complemented
13	#72252178	C₂	1	1	yes	maximal, characteristic, complemented
14	#72252151	C₂	1	1	yes	maximal, characteristic, complemented
15	#72252139	C₂	1	1	yes	maximal, characteristic, complemented
16	#72252133	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#396104	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#454037	C₂	1	1	yes	maximal, characteristic, complemented
19	#72250795	C₂	1	1	yes	maximal, characteristic, complemented
20	#72250505	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#382440	C₂	1	1	yes	maximal, characteristic, complemented
22	#72239632	C₂	1	1	yes	maximal, characteristic, complemented
23	#72237709	C₂	1	1	yes	maximal, characteristic, complemented
24	#72237510	C₂	1	1	yes	maximal, characteristic, complemented
25	#72237503	C₂	1	1	yes	maximal, characteristic, complemented
26	#72236737	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#394040	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#10576108	C₂	1	1	yes	maximal, characteristic, complemented
29	#72235076	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#393975	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#394108	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#3585	C₂²	1	1	yes	characteristic
33	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
34	C₂×#62811	C₂²	1	1	yes	characteristic
35	C₂²×#3484	C₂²	1	1	yes	characteristic
36	C₂×#60644	C₂²	1	1	yes	characteristic
37	C₂×#60426	C₂²	1	1	yes	characteristic
38	C₂×#60423	C₂²	1	1	yes	characteristic
39	C₂×#60454	C₂²	1	1	yes	characteristic
40	C₂×#60444	C₂²	1	1	yes	characteristic
41	C₂×#60369	C₂²	1	1	yes	characteristic
42	C₂×#60367	C₂²	1	1	yes	characteristic
43	C₂×#60387	C₂²	1	1	yes	characteristic, complemented
44	C₂×#60359	C₂²	1	1	yes	characteristic
45	C₂×#60359	C₂²	1	1	yes	characteristic, complemented
46	C₂²×#3019	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#3003	C₂²	1	1	yes	characteristic
48	C₂×#60141	C₂²	1	1	yes	characteristic
49	C₂×#60168	C₂²	1	1	yes	characteristic
50	C₂×#35222	C₂²	1	1	yes	characteristic, complemented
51	C₂×#23525	C₂²	1	1	yes	characteristic, complemented
52	C₂×#23525	C₂²	1	1	yes	characteristic, complemented
53	C₂²×#2048	C₂²	1	1	yes	characteristic, complemented
54	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
55	#6431784	C₂²	1	1	yes	characteristic, complemented
56	#6431784	C₂²	1	1	yes	characteristic, complemented
57	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
58	C₂²×#2010	C₂²	1	1	yes	characteristic
59	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
60	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
61	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
62	C₂²×#2008	C₂²	1	1	yes	characteristic
63	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
64	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
65	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
66	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
67	C₂×#23402	C₂²	1	1	yes	characteristic, complemented
68	C₂×#23402	C₂²	1	1	yes	characteristic, complemented
69	#6431707	C₂²	1	1	yes	characteristic, complemented
70	C₂²×#1911	C₂²	1	1	yes	characteristic, complemented
71	C₂×#21000	C₂²	1	1	yes	characteristic, complemented
72	#6371397	C₂²	1	1	yes	characteristic, complemented
73	C₂×#20902	C₂²	1	1	yes	characteristic, complemented
74	C₂×#20708	C₂²	1	1	yes	characteristic, complemented
75	C₂×#20708	C₂²	1	1	yes	characteristic, complemented
76	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
77	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
78	C₂²×#1795	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20616	C₂²	1	1	yes	characteristic, complemented
81	C₂×#20605	C₂²	1	1	yes	characteristic, complemented
82	#6370719	C₂²	1	1	yes	characteristic, complemented
83	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
85	C₂×#20591	C₂²	1	1	yes	characteristic, complemented
86	C₂²×#1783	C₂²	1	1	yes	characteristic, complemented
87	C₂×#20584	C₂²	1	1	yes	characteristic, complemented
88	C₂×#11265	C₂²	1	1	yes	characteristic, complemented
89	#358272	C₂²	1	1	yes	characteristic, complemented
90	C₂×#11186	C₂²	1	1	yes	characteristic, complemented
91	#357936	C₂²	1	1	yes	characteristic, complemented
92	#357936	C₂²	1	1	yes	characteristic, complemented
93	C₂×#11181	C₂²	1	1	yes	characteristic, complemented
94	C₂×#11180	C₂²	1	1	yes	characteristic, complemented
95	#357917	C₂²	1	1	yes	characteristic, complemented
96	C₂×#11153	C₂²	1	1	yes	characteristic, complemented
97	C₂×#11142	C₂²	1	1	yes	characteristic, complemented
98	C₂×#11131	C₂²	1	1	yes	characteristic, complemented
99	C₂×#11119	C₂²	1	1	yes	characteristic, complemented
100	#357746	C₂²	1	1	yes	characteristic, complemented
101	C₂×#11101	C₂²	1	1	yes	characteristic, complemented
102	C₂×#11037	C₂²	1	1	yes	characteristic, complemented
103	#357591	C₂²	1	1	yes	characteristic, complemented
104	C₂×#11034	C₂²	1	1	yes	characteristic
105	C₂×#11034	C₂²	1	1	yes	characteristic
106	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
107	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
108	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
109	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
110	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
111	C₂×#11034	C₂²	1	1	yes	characteristic, complemented
112	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
113	C₂×#11030	C₂²	1	1	yes	characteristic
114	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
115	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
116	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
117	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
118	#357581	C₂²	1	1	yes	characteristic, complemented
119	#357577	C₂²	1	1	yes	characteristic, complemented
120	#357577	C₂²	1	1	yes	characteristic, complemented
121	#357575	C₂²	1	1	yes	characteristic, complemented
122	#357567	C₂²	1	1	yes	characteristic, complemented
123	#357567	C₂²	1	1	yes	characteristic, complemented
124	C₂×#11014	C₂²	1	1	yes	characteristic, complemented
125	#357564	C₂²	1	1	yes	characteristic, complemented
126	#357564	C₂²	1	1	yes	characteristic, complemented
127	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
128	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
129	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
130	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
131	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
132	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
133	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
134	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
135	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
136	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
137	C₂×#10994	C₂²	1	1	yes	characteristic
138	C₂×#10994	C₂²	1	1	yes	characteristic
139	C₂×#10994	C₂²	1	1	yes	characteristic
140	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
141	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
142	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
143	#357541	C₂²	1	1	yes	characteristic, complemented
144	#357536	C₂²	1	1	yes	characteristic, complemented
145	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
146	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
147	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
148	#357529	C₂²	1	1	yes	characteristic, complemented
149	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
150	C₂×#10989	C₂²	1	1	yes	characteristic, complemented
151	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
152	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
153	C₂×#10984	C₂²	1	1	yes	characteristic, complemented
154	#357454	C₂²	1	1	yes	characteristic, complemented
155	C₂×#10955	C₂²	1	1	yes	characteristic, complemented
156	C₂×#10905	C₂²	1	1	yes	characteristic, complemented
157	C₂×#10785	C₂²	1	1	yes	characteristic, complemented
158	C₂×#10785	C₂²	1	1	yes	characteristic, complemented
159	C₂×#10740	C₂²	1	1	yes	characteristic, complemented
160	C₂×#10737	C₂²	1	1	yes	characteristic, complemented
161	C₂×#10737	C₂²	1	1	yes	characteristic, complemented
162	#353403	C₂²	1	1	yes	characteristic, complemented
163	C₂×#10793	C₂²	1	1	yes	characteristic, complemented
164	C₂×#10792	C₂²	1	1	yes	characteristic, complemented
165	C₂×#10778	C₂²	1	1	yes	characteristic, complemented
166	#353354	C₂²	1	1	yes	characteristic, complemented
167	#124000	C₂²	1	1	yes	characteristic, complemented
168	#123975	C₂²	1	1	yes	characteristic, complemented
169	#123913	C₂²	1	1	yes	characteristic, complemented
170	#123910	C₂²	1	1	yes	characteristic, complemented
171	#123644	C₂²	1	1	yes	characteristic, complemented
172	#123643	C₂²	1	1	yes	characteristic, complemented
173	#123637	C₂²	1	1	yes	characteristic, complemented
174	#123627	C₂²	1	1	yes	characteristic, complemented
175	#123619	C₂²	1	1	yes	characteristic, complemented
176	#123616	C₂²	1	1	yes	characteristic, complemented
177	#123609	C₂²	1	1	yes	characteristic, complemented
178	#123605	C₂²	1	1	yes	characteristic, complemented
179	#123604	C₂²	1	1	yes	characteristic, complemented
180	#123600	C₂²	1	1	yes	characteristic, complemented
181	#123556	C₂²	1	1	yes	characteristic, complemented
182	#123549	C₂²	1	1	yes	characteristic, complemented
183	#123535	C₂²	1	1	yes	characteristic, complemented
184	#123531	C₂²	1	1	yes	characteristic, complemented
185	#123501	C₂²	1	1	yes	characteristic, complemented
186	#123501	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#585	C₂³	1	1	yes	characteristic
188	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
189	C₂⁴×#41	C₂³	1	1	yes	characteristic
190	C₂⁵×D₄	C₂³	1	1	yes	characteristic
191	C₂²×#577	D₄	1	4	yes	complemented
192	C₂²×#576	D₄	1	4	yes	complemented
193	C₂²×#575	C₂³	1	1	yes	characteristic
194	C₂²×#575	C₂³	1	1	yes	characteristic
195	C₂²×#575	C₂³	1	1	yes	characteristic
196	C₂²×#575	C₂³	1	1	yes	characteristic
197	C₂²×#575	C₂³	1	1	yes	characteristic
198	C₂²×#575	C₂³	1	1	yes	characteristic
199	C₂²×#575	C₂³	1	1	yes	characteristic
200	C₂³×AGL(1,ℤ/8)	D₄	1	8	yes	complemented
201	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
202	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
203	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
204	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
205	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
206	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
207	C₂²×#568	C₂³	1	1	yes	characteristic
208	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
209	#62811	D₄	1	8	yes	complemented
210	C₂×#3449	C₂³	1	1	yes	characteristic
211	C₂×#3449	C₂³	1	1	yes	characteristic
212	C₂×#3449	C₂³	1	1	yes	characteristic
213	C₂²×#535	C₂³	1	1	yes	characteristic
214	C₂²×#535	C₂³	1	1	yes	characteristic
215	C₂²×#535	C₂³	1	1	yes	characteristic
216	C₂²×#535	C₂³	1	1	yes	characteristic
217	C₂²×#525	C₂³	1	1	yes	characteristic
218	C₂²×#525	C₂³	1	1	yes	characteristic
219	C₂²×#525	C₂³	1	1	yes	characteristic
220	C₂²×#525	C₂³	1	1	yes	characteristic
221	C₂×#3428	C₂³	1	1	yes	characteristic
222	C₂²×#518	C₂³	1	1	yes	characteristic
223	C₂×#3040	D₄	1	4	yes	complemented
224	C₂×#3038	D₄	1	4	yes	complemented
225	#60369	D₄	1	8	yes	complemented
226	C₂×#3005	D₄	1	2	yes	complemented
227	C₂×#3005	D₄	1	2	yes	complemented
228	C₂×#3004	D₄	1	2	yes	complemented
229	C₂×#3003	D₄	1	2	yes	complemented
230	#60168	D₄	1	8	yes	complemented
231	C₂²×#430	C₂³	1	1	yes	characteristic
232	C₂×#2911	C₂³	1	1	yes	characteristic
233	C₂×#2905	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	C₂²×#421	C₂³	1	1	yes	characteristic
243	C₂²×#421	C₂³	1	1	yes	characteristic
244	C₂²×#421	C₂³	1	1	yes	characteristic
245	C₂²×#421	C₂³	1	1	yes	characteristic
246	C₂²×#421	C₂³	1	1	yes	characteristic
247	C₂²×#421	C₂³	1	1	yes	characteristic
248	C₂²×#421	C₂³	1	1	yes	characteristic
249	C₂²×#421	C₂³	1	1	yes	characteristic
250	C₂×#2896	C₂³	1	1	yes	characteristic
251	C₂×#2896	C₂³	1	1	yes	characteristic
252	C₂×#2896	C₂³	1	1	yes	characteristic
253	C₂×#2896	C₂³	1	1	yes	characteristic
254	C₂×#2896	C₂³	1	1	yes	characteristic
255	C₂×#2896	C₂³	1	1	yes	characteristic
256	C₂×#2896	C₂³	1	1	yes	characteristic
257	C₂×#2896	C₂³	1	1	yes	characteristic
258	C₂×#2896	C₂³	1	1	yes	characteristic
259	C₂×#2896	C₂³	1	1	yes	characteristic
260	C₂×#2896	C₂³	1	1	yes	characteristic
261	C₂×#2896	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×#418	C₂³	1	1	yes	characteristic
266	C₂²×#418	C₂³	1	1	yes	characteristic
267	C₂²×#418	C₂³	1	1	yes	characteristic
268	C₂²×#418	C₂³	1	1	yes	characteristic
269	C₂²×#418	C₂³	1	1	yes	characteristic
270	C₂²×#418	C₂³	1	1	yes	characteristic
271	C₂²×#418	C₂³	1	1	yes	characteristic
272	C₂²×#413	C₂³	1	1	yes	characteristic
273	C₂²×#413	C₂³	1	1	yes	characteristic
274	C₂²×#413	C₂³	1	1	yes	characteristic
275	C₂²×#413	C₂³	1	1	yes	characteristic
276	C₂²×#413	C₂³	1	1	yes	characteristic
277	C₂²×#413	C₂³	1	1	yes	characteristic
278	C₂²×#413	C₂³	1	1	yes	characteristic
279	C₂³×#100	C₂³	1	1	yes	characteristic
280	C₂³×#100	C₂³	1	1	yes	characteristic
281	C₂³×#100	C₂³	1	1	yes	characteristic
282	C₂³×#100	C₂³	1	1	yes	characteristic
283	C₂²×#410	C₂³	1	1	yes	characteristic
284	C₂²×#410	C₂³	1	1	yes	characteristic
285	C₂²×#410	C₂³	1	1	yes	characteristic
286	C₂²×#410	C₂³	1	1	yes	characteristic
287	C₂²×#410	C₂³	1	1	yes	characteristic
288	C₂²×#410	C₂³	1	1	yes	characteristic
289	C₂²×#410	C₂³	1	1	yes	characteristic
290	C₂×#2879	C₂³	1	1	yes	characteristic
291	C₂×#2879	C₂³	1	1	yes	characteristic
292	C₂×#2879	C₂³	1	1	yes	characteristic
293	C₂×#2879	C₂³	1	1	yes	characteristic
294	C₂²×#407	C₂³	1	1	yes	characteristic
295	C₂²×#407	C₂³	1	1	yes	characteristic
296	C₂²×#407	C₂³	1	1	yes	characteristic
297	C₂²×#407	C₂³	1	1	yes	characteristic
298	C₂²×#407	C₂³	1	1	yes	characteristic
299	C₂×#2873	C₂³	1	1	yes	characteristic
300	#34044	C₂³	1	1	yes	characteristic
301	C₂×#2309	C₂³	1	1	yes	characteristic
302	C₂×#2309	C₂³	1	1	yes	characteristic
303	C₂×#2280	C₂³	1	1	yes	characteristic
304	C₂×#2280	C₂³	1	1	yes	characteristic
305	C₂×#2280	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	C₂²×#344	C₂³	1	1	yes	characteristic
311	C₂²×#344	C₂³	1	1	yes	characteristic
312	C₂²×#344	C₂³	1	1	yes	characteristic
313	C₂²×#344	C₂³	1	1	yes	characteristic
314	C₂²×#344	C₂³	1	1	yes	characteristic
315	C₂²×#344	C₂³	1	1	yes	characteristic
316	C₂²×#344	C₂³	1	1	yes	characteristic
317	C₂²×#344	C₂³	1	1	yes	characteristic
318	C₂²×#344	C₂³	1	1	yes	characteristic
319	C₂²×#344	C₂³	1	1	yes	characteristic
320	C₂²×#344	C₂³	1	1	yes	characteristic
321	C₂²×#344	C₂³	1	1	yes	characteristic
322	C₂×#1742	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×#1738	C₂³	1	1	yes	characteristic
327	C₂×#1738	C₂³	1	1	yes	characteristic
328	C₂×#1738	C₂³	1	1	yes	characteristic
329	C₂×#1738	C₂³	1	1	yes	characteristic
330	C₂×#1738	C₂³	1	1	yes	characteristic
331	C₂×#1738	C₂³	1	1	yes	characteristic
332	#20347	C₂³	1	1	yes	characteristic
333	C₂×#1733	C₂³	1	1	yes	characteristic
334	C₂×#1733	C₂³	1	1	yes	characteristic
335	C₂×#1733	C₂³	1	1	yes	characteristic
336	C₂×#1733	C₂³	1	1	yes	characteristic
337	C₂×#1733	C₂³	1	1	yes	characteristic
338	C₂×#1733	C₂³	1	1	yes	characteristic
339	C₂×#1733	C₂³	1	1	yes	characteristic
340	C₂×#1733	C₂³	1	1	yes	characteristic
341	C₂×#1733	C₂³	1	1	yes	characteristic
342	C₂×#1733	C₂³	1	1	yes	characteristic
343	C₂²×#338	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	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
349	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
350	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
351	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
352	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
353	#20335	C₂³	1	1	yes	characteristic
354	#10994	D₄	1	8	yes	complemented
355	C₂×#585	C₂×D₄	1	4	yes	—
356	C₂×#585	C₂×D₄	1	4	yes	—
357	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
358	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
359	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
360	C₂³×#41	C₂×D₄	1	4	yes	—
361	C₂³×#41	C₂×D₄	1	4	yes	—
362	C₂³×#41	C₂×D₄	1	1	yes	characteristic
363	C₂³×#41	C₂×D₄	1	1	yes	characteristic
364	C₂³×#41	C₂⁴	1	1	yes	characteristic
365	C₂³×#41	C₂⁴	1	1	yes	characteristic
366	C₂³×#41	C₂⁴	1	1	yes	characteristic
367	C₂³×#41	C₂⁴	1	1	yes	characteristic
368	C₂³×#41	C₂⁴	1	1	yes	characteristic
369	C₂³×#41	C₂⁴	1	1	yes	characteristic
370	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
371	C₂⁴×D₄	C₂×D₄	1	4	yes	—
372	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
373	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
374	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
375	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
376	C₂²×#137	C₂×D₄	1	2	yes	—
377	C₂²×#137	C₂×D₄	1	2	yes	—
378	C₂²×#137	C₂×D₄	1	2	yes	—
379	C₂²×#137	C₂×D₄	1	2	yes	—
380	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
381	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
382	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
383	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
384	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
385	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
386	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
387	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
388	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
389	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
390	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
391	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
392	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
393	C₂²×#135	C₂×D₄	1	4	yes	—
394	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
395	C₂³×D₈	C₂×D₄	1	2	yes	—
396	C₂²×#131	C₂×D₄	1	4	yes	—
397	C₂³×M₁₆	C₂×D₄	1	4	yes	—
398	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
399	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
400	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
401	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
402	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
403	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
404	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
405	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
406	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
407	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
408	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
409	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
410	#3449	C₂×D₄	1	4	yes	—
411	#3449	C₂×D₄	1	4	yes	—
412	C₂×#535	C₂×D₄	1	4	yes	—
413	C₂²×#127	C₂×D₄	1	2	yes	—
414	C₂²×#124	C₂×D₄	1	2	yes	—
415	C₂×#525	C₂×D₄	1	4	yes	—
416	C₂×#525	C₂×D₄	1	4	yes	—
417	C₂×#525	C₂×D₄	1	2	yes	—
418	C₂×#525	C₂×D₄	1	2	yes	—
419	C₂×#525	C₂×D₄	1	4	yes	—
420	C₂×#525	#41	1	2	yes	—
421	C₂×#525	#41	1	2	yes	—
422	#3428	C₂×D₄	1	4	yes	—
423	#3428	C₂×D₄	1	4	yes	—
424	C₂×#518	C₂×D₄	1	4	yes	—
425	C₂×C₄×#41	C₂×D₄	1	4	yes	—
426	C₂²×#117	C₂⁴	1	1	yes	characteristic
427	C₂²×#117	C₂⁴	1	1	yes	characteristic
428	C₂²×#117	C₂⁴	1	1	yes	characteristic
429	C₂²×#117	C₂⁴	1	1	yes	characteristic
430	C₂²×#117	C₂⁴	1	1	yes	characteristic
431	C₂²×#117	C₂⁴	1	1	yes	characteristic
432	C₂²×#117	C₂⁴	1	1	yes	characteristic
433	C₂²×#117	C₂⁴	1	1	yes	characteristic
434	C₂²×#117	C₂⁴	1	1	yes	characteristic
435	C₂²×#117	C₂⁴	1	1	yes	characteristic
436	#2911	C₂×D₄	1	4	yes	—
437	C₂×#423	C₂×D₄	1	4	yes	—
438	C₂×#421	C₂×D₄	1	4	yes	—
439	#2896	C₂×D₄	1	4	yes	—
440	#2896	C₂×D₄	1	4	yes	—
441	#2896	C₂×D₄	1	4	yes	—
442	#2896	C₂×D₄	1	4	yes	—
443	C₂×#419	C₂×D₄	1	2	yes	—
444	C₂×#419	C₂×D₄	1	2	yes	—
445	C₂×#419	C₂×D₄	1	2	yes	—
446	C₂×#418	C₂×D₄	1	2	yes	—
447	C₂×#418	C₂×D₄	1	2	yes	—
448	C₂×#418	C₂×D₄	1	4	yes	—
449	C₂×#418	C₂×D₄	1	4	yes	—
450	C₂×#418	C₂×D₄	1	2	yes	—
451	#2879	C₂×D₄	1	4	yes	—
452	C₂×#407	C₂×D₄	1	2	yes	—
453	C₂×#407	C₂×D₄	1	2	yes	—
454	C₂×#407	C₂×D₄	1	4	yes	—
455	#2873	C₂×D₄	1	4	yes	—
456	#2280	C₂×D₄	1	4	yes	—
457	#1733	C₂×D₄	1	4	yes	—
458	C₂×H(3,ℤ/4)	C₂×D₄	1	4	yes	—
459	C₂⁶	H(5,𝔽₂)	1	1	yes	characteristic
460	C₂×2₋¹⁺⁴	#120	1	8	yes	complemented
461	C₂×H(5,𝔽₂)	#120	1	8	yes	complemented
462	C₂²×#41	#120	1	4	yes	—
463	C₂²×#41	#120	1	4	yes	—
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	C₂²×D₄	1	2	yes	—
472	C₂²×#41	C₂²×D₄	1	2	yes	—
473	C₂²×#41	C₂²×D₄	1	2	yes	—
474	C₂²×#41	C₂²×D₄	1	2	yes	—
475	C₂²×#41	C₂²×D₄	1	2	yes	—
476	C₂²×#41	C₂²×D₄	1	2	yes	—
477	C₂²×#41	C₂²×D₄	1	2	yes	—
478	C₂²×#41	C₂²×D₄	1	2	yes	—
479	C₂²×#41	C₂²×D₄	1	2	yes	—
480	C₂²×#41	C₂×#41	1	2	yes	—
481	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
482	C₂³×Q₈	#120	1	4	yes	—
483	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
484	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
485	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
486	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
487	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
488	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
489	C₂³×D₄	#120	1	4	yes	—
490	C₂³×D₄	C₂²×D₄	1	2	yes	—
491	C₂³×D₄	C₂²×D₄	1	2	yes	—
492	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
493	C₂³×D₄	C₂²×D₄	1	2	yes	—
494	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
495	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
496	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
497	C₂³×D₄	C₂²×D₄	1	2	yes	—
498	C₂³×D₄	C₂²×D₄	1	2	yes	—
499	C₂³×D₄	C₂²×D₄	1	2	yes	—
500	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
501	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
502	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
503	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
504	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
505	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
506	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
507	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
508	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
509	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
510	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
511	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
512	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
513	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
514	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
515	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
516	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
517	C₂×AGL(1,ℤ/8)	#120	1	16	yes	—
518	C₂²×Q₁₆	#120	1	4	yes	complemented
519	C₂²×SD₁₆	#120	1	4	yes	complemented
520	C₂²×SD₁₆	#120	1	4	yes	complemented
521	C₂²×D₈	#120	1	4	yes	complemented
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	C₂²×D₄	1	2	yes	—
527	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
528	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
529	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
530	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
531	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
532	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
533	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
534	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
535	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
536	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
537	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
538	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
539	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
540	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
541	C₂³×C₈	C₂²×D₄	1	2	yes	—
542	C₂³×C₈	H(5,𝔽₂)	1	2	yes	—
543	#525	#121	1	8	yes	—
544	#525	#121	1	8	yes	—
545	C₄×#41	#120	1	16	yes	complemented
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	C₂²×D₄	1	2	yes	—
551	C₂×#117	C₂²×D₄	1	2	yes	—
552	C₂×#117	C₂²×D₄	1	2	yes	—
553	C₂×#117	C₂²×D₄	1	2	yes	—
554	C₂×#117	C₂²×D₄	1	2	yes	—
555	C₂×#117	C₂²×D₄	1	2	yes	—
556	C₂×#117	C₂²×D₄	1	2	yes	—
557	C₂×#117	C₂×#41	1	2	yes	—
558	C₂×#117	H(5,𝔽₂)	1	2	yes	—
559	C₂×#117	H(5,𝔽₂)	1	2	yes	—
560	C₂×#117	H(5,𝔽₂)	1	2	yes	—
561	C₂×#117	H(5,𝔽₂)	1	2	yes	—
562	C₂²×C₄²	C₂²×D₄	1	2	yes	—
563	#419	#120	1	8	yes	complemented
564	#418	#120	1	8	yes	complemented
565	C₂⁵	#534	1	2	yes	—
566	C₂⁵	D₄²	1	2	yes	—
567	C₂⁵	#546	1	1	yes	characteristic
568	C₂⁵	#546	1	1	yes	characteristic
569	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
570	C₂×#41	C₂×#120	1	4	yes	—
571	C₂×#41	C₂×#120	1	4	yes	—
572	C₂×#41	C₂×#120	1	4	yes	—
573	C₂×#41	C₂×#120	1	4	yes	—
574	C₂×#41	C₂×#120	1	4	yes	—
575	C₂×#41	C₂×#121	1	4	yes	—
576	C₂×#41	D₄²	1	4	yes	—
577	C₂×#41	#546	1	4	yes	—
578	C₂²×Q₈	C₂×#120	1	2	yes	—
579	C₂²×Q₈	C₂×#120	1	2	yes	—
580	C₂²×Q₈	C₂×#120	1	2	yes	—
581	C₂²×Q₈	C₂×#120	1	2	yes	—
582	C₂²×Q₈	C₂×#120	1	2	yes	—
583	C₂²×Q₈	C₂×#120	1	2	yes	—
584	C₂²×Q₈	#534	1	2	yes	—
585	C₂²×Q₈	D₄²	1	2	yes	—
586	C₂²×Q₈	#546	1	2	yes	—
587	C₂²×D₄	C₂×#120	1	4	yes	—
588	C₂²×D₄	C₂×#120	1	2	yes	—
589	C₂²×D₄	C₂×#120	1	2	yes	—
590	C₂²×D₄	C₂×#120	1	2	yes	—
591	C₂²×D₄	C₂×#120	1	2	yes	—
592	C₂²×D₄	C₂×#120	1	2	yes	—
593	C₂²×D₄	C₂×#120	1	2	yes	—
594	C₂²×D₄	C₂×#120	1	4	yes	—
595	C₂²×D₄	#534	1	4	yes	—
596	C₂²×D₄	#534	1	4	yes	—
597	C₂²×D₄	#534	1	4	yes	—
598	C₂²×D₄	#534	1	4	yes	—
599	C₂²×D₄	#534	1	2	yes	—
600	C₂²×D₄	#535	1	4	yes	—
601	C₂²×D₄	#535	1	4	yes	—
602	C₂²×D₄	D₄²	1	2	yes	—
603	C₂²×D₄	#546	1	2	yes	—
604	C₂³×C₄	C₂×#120	1	2	yes	—
605	C₂³×C₄	C₂×#120	1	2	yes	—
606	C₂³×C₄	C₂×#121	1	2	yes	—
607	C₂³×C₄	C₂×#121	1	2	yes	—
608	C₂³×C₄	#534	1	2	yes	—
609	C₂³×C₄	D₄²	1	2	yes	—
610	C₂³×C₄	D₄²	1	2	yes	—
611	C₂³×C₄	D₄²	1	2	yes	—
612	C₂³×C₄	#546	1	1	yes	characteristic
613	C₂³×C₄	#546	1	1	yes	characteristic
614	C₂³×C₄	#546	1	2	yes	—
615	C₂³×C₄	#546	1	2	yes	—
616	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
617	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
618	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
619	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
620	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
621	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
622	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
623	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
624	C₂³×C₄	C₂²×#41	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	C₂×H(5,𝔽₂)	1	1	yes	characteristic
633	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
634	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
635	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
636	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
637	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
638	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
639	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
640	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
641	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
642	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
643	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
644	C₂³×C₄	#585	1	1	yes	characteristic
645	C₂³×C₄	#585	1	1	yes	characteristic
646	C₂×M₁₆	C₂×#120	1	4	yes	—
647	C₂×M₁₆	C₂×#120	1	4	yes	—
648	C₂×M₁₆	C₂×#120	1	4	yes	—
649	C₂×M₁₆	#534	1	4	yes	—
650	C₂×M₁₆	#534	1	4	yes	—
651	C₂×M₁₆	#534	1	4	yes	—
652	C₂×M₁₆	#534	1	4	yes	—
653	C₂×M₁₆	#535	1	4	yes	—
654	C₂×M₁₆	#535	1	4	yes	—
655	C₂²×C₈	C₂×#120	1	4	yes	—
656	#117	C₂×#120	1	4	yes	—
657	#117	C₂×#120	1	4	yes	—
658	#117	C₂×#121	1	4	yes	—
659	#117	#534	1	4	yes	—
660	#117	D₄²	1	4	yes	—
661	#117	#546	1	4	yes	—
662	C₂×C₄²	C₂×#120	1	4	yes	—
663	C₂×C₄²	D₄²	1	4	yes	—
664	C₂×C₄²	#546	1	4	yes	—
665	C₂⁴	#2410	1	2	yes	—
666	C₂⁴	#2410	1	2	yes	—
667	C₂⁴	C₂×#534	1	1	yes	characteristic
668	C₂⁴	C₂×D₄²	1	1	yes	characteristic
669	C₂⁴	C₂×#546	1	1	yes	characteristic
670	C₂⁴	#3484	1	1	yes	characteristic
671	C₂⁴	#3484	1	1	yes	characteristic
672	C₂⁴	#3484	1	1	yes	characteristic
673	C₂⁴	#3484	1	1	yes	characteristic
674	C₂⁴	#3532	1	1	yes	characteristic
675	C₂⁴	#3532	1	1	yes	characteristic
676	C₂⁴	#3534	1	1	yes	characteristic
677	C₂⁴	#3537	1	1	yes	characteristic
678	C₂⁴	#3537	1	1	yes	characteristic
679	C₂⁴	#3543	1	1	yes	characteristic
680	C₂⁴	#3543	1	1	yes	characteristic
681	C₂⁴	#3558	1	1	yes	characteristic
682	C₂×Q₈	#2410	1	4	yes	—
683	C₂×Q₈	#2846	1	4	yes	—
684	C₂×D₄	#2410	1	4	yes	—
685	C₂×D₄	#2613	1	8	yes	—
686	C₂×D₄	#2846	1	4	yes	—
687	C₂²×C₄	#2410	1	2	yes	—
688	C₂²×C₄	#2410	1	2	yes	—
689	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
690	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
691	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
692	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
693	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
694	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
695	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
696	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
697	C₂²×C₄	C₂×#534	1	1	yes	characteristic
698	C₂²×C₄	C₂×#534	1	1	yes	characteristic
699	C₂²×C₄	C₂×#534	1	1	yes	characteristic
700	C₂²×C₄	C₂×#534	1	1	yes	characteristic
701	C₂²×C₄	C₂×#534	1	1	yes	characteristic
702	C₂²×C₄	C₂×#534	1	1	yes	characteristic
703	C₂²×C₄	C₂×#534	1	1	yes	characteristic
704	C₂²×C₄	C₂×#534	1	1	yes	characteristic
705	C₂²×C₄	C₂×#534	1	1	yes	characteristic
706	C₂²×C₄	C₂×#534	1	1	yes	characteristic
707	C₂²×C₄	C₂×#535	1	1	yes	characteristic
708	C₂²×C₄	C₂×#535	1	1	yes	characteristic
709	C₂²×C₄	C₂×#535	1	1	yes	characteristic
710	C₂²×C₄	C₂×#535	1	1	yes	characteristic
711	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
712	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
713	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
714	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
715	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
716	C₂²×C₄	C₂×#546	1	1	yes	characteristic
717	C₂²×C₄	C₂×#546	1	1	yes	characteristic
718	C₂²×C₄	C₂×#546	1	1	yes	characteristic
719	C₂²×C₄	C₂×#546	1	1	yes	characteristic
720	C₂²×C₄	C₂×#546	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	#3484	1	1	yes	characteristic
742	C₂²×C₄	#3484	1	1	yes	characteristic
743	C₂²×C₄	#3484	1	1	yes	characteristic
744	C₂²×C₄	#3484	1	1	yes	characteristic
745	C₂²×C₄	#3484	1	1	yes	characteristic
746	C₂²×C₄	#3484	1	1	yes	characteristic
747	C₂²×C₄	#3484	1	1	yes	characteristic
748	C₂²×C₄	#3484	1	1	yes	characteristic
749	C₂²×C₄	#3484	1	1	yes	characteristic
750	C₂²×C₄	#3484	1	1	yes	characteristic
751	C₂²×C₄	#3484	1	1	yes	characteristic
752	C₂²×C₄	#3484	1	1	yes	characteristic
753	C₂²×C₄	#3484	1	1	yes	characteristic
754	C₂²×C₄	#3484	1	1	yes	characteristic
755	C₂²×C₄	#3484	1	1	yes	characteristic
756	C₂²×C₄	#3484	1	1	yes	characteristic
757	C₂²×C₄	#3484	1	1	yes	characteristic
758	C₂²×C₄	#3484	1	1	yes	characteristic
759	C₂²×C₄	#3485	1	1	yes	characteristic
760	C₂²×C₄	#3488	1	1	yes	characteristic
761	C₂²×C₄	#3488	1	1	yes	characteristic
762	C₂²×C₄	#3488	1	1	yes	characteristic
763	C₂²×C₄	#3488	1	1	yes	characteristic
764	C₂²×C₄	#3488	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	#3496	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	#3498	1	1	yes	characteristic
778	C₂²×C₄	#3498	1	1	yes	characteristic
779	C₂²×C₄	#3498	1	1	yes	characteristic
780	C₂²×C₄	#3498	1	1	yes	characteristic
781	C₂²×C₄	#3513	1	1	yes	characteristic
782	C₂²×C₄	#3514	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	#3519	1	1	yes	characteristic
787	C₂²×C₄	#3519	1	1	yes	characteristic
788	C₂²×C₄	#3519	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	#3532	1	1	yes	characteristic
793	C₂²×C₄	#3534	1	1	yes	characteristic
794	C₂²×C₄	#3534	1	1	yes	characteristic
795	C₂²×C₄	#3534	1	1	yes	characteristic
796	C₂²×C₄	#3537	1	1	yes	characteristic
797	C₂²×C₄	#3537	1	1	yes	characteristic
798	C₂²×C₄	#3537	1	1	yes	characteristic
799	C₂²×C₄	#3537	1	1	yes	characteristic
800	C₂²×C₄	#3537	1	1	yes	characteristic
801	C₂²×C₄	#3537	1	1	yes	characteristic
802	C₂²×C₄	#3537	1	1	yes	characteristic
803	C₂²×C₄	#3537	1	1	yes	characteristic
804	C₂²×C₄	#3537	1	1	yes	characteristic
805	C₂²×C₄	#3537	1	1	yes	characteristic
806	C₂²×C₄	#3537	1	1	yes	characteristic
807	C₂²×C₄	#3537	1	1	yes	characteristic
808	C₂²×C₄	#3537	1	1	yes	characteristic
809	C₂²×C₄	#3542	1	1	yes	characteristic
810	C₂²×C₄	#3542	1	1	yes	characteristic
811	C₂²×C₄	#3542	1	1	yes	characteristic
812	C₂²×C₄	#3543	1	1	yes	characteristic
813	C₂²×C₄	#3543	1	1	yes	characteristic
814	C₂²×C₄	#3543	1	1	yes	characteristic
815	C₂²×C₄	#3543	1	1	yes	characteristic
816	C₂²×C₄	#3543	1	1	yes	characteristic
817	C₂²×C₄	#3543	1	1	yes	characteristic
818	C₂²×C₄	#3543	1	1	yes	characteristic
819	C₂²×C₄	#3543	1	1	yes	characteristic
820	C₂²×C₄	#3543	1	1	yes	characteristic
821	C₂²×C₄	#3543	1	1	yes	characteristic
822	C₂²×C₄	#3546	1	1	yes	characteristic
823	C₂²×C₄	#3546	1	1	yes	characteristic
824	C₂²×C₄	#3549	1	1	yes	characteristic
825	C₂²×C₄	#3549	1	1	yes	characteristic
826	C₂²×C₄	#3549	1	1	yes	characteristic
827	C₂²×C₄	#3558	1	1	yes	characteristic
828	C₂²×C₄	#3558	1	1	yes	characteristic
829	M₁₆	#2613	1	8	yes	—
830	C₄²	#2410	1	8	yes	—
831	C₂³	C₂×#2410	1	1	yes	characteristic
832	C₂³	#34980	1	1	yes	characteristic
833	C₂³	#34980	1	1	yes	characteristic
834	C₂³	D₄×#120	1	1	yes	characteristic
835	C₂³	D₄×#120	1	1	yes	characteristic
836	C₂³	#36152	1	1	yes	characteristic
837	C₂³	#36152	1	1	yes	characteristic
838	C₂³	#37644	1	1	yes	characteristic
839	C₂³	#37672	1	1	yes	characteristic
840	C₂³	#39336	1	1	yes	characteristic
841	C₂³	#39358	1	1	yes	characteristic
842	C₂³	#40484	1	1	yes	characteristic
843	C₂³	#40490	1	1	yes	characteristic
844	C₂³	#40584	1	1	yes	characteristic
845	C₂³	#40584	1	1	yes	characteristic
846	C₂³	#40584	1	1	yes	characteristic
847	C₂³	#40584	1	1	yes	characteristic
848	C₂³	#40585	1	1	yes	characteristic
849	C₂³	#40590	1	1	yes	characteristic
850	C₂³	#42422	1	1	yes	characteristic
851	C₂³	#42430	1	1	yes	characteristic
852	C₂³	#42475	1	1	yes	characteristic
853	C₂³	#42484	1	1	yes	characteristic
854	C₂³	#42998	1	1	yes	characteristic
855	C₂³	#43019	1	1	yes	characteristic
856	C₂³	#43095	1	1	yes	characteristic
857	C₂³	#43095	1	1	yes	characteristic
858	C₂³	#47827	1	1	yes	characteristic
859	C₂³	#47838	1	1	yes	characteristic
860	C₂³	#47928	1	1	yes	characteristic
861	C₂³	#47929	1	1	yes	characteristic
862	C₂³	#47942	1	1	yes	characteristic
863	C₂³	#47942	1	1	yes	characteristic
864	C₂³	#49545	1	1	yes	characteristic
865	C₂³	#49554	1	1	yes	characteristic
866	C₂×C₄	C₂×#2613	1	1	yes	characteristic
867	C₂×C₄	C₂×#2613	1	1	yes	characteristic
868	C₂×C₄	C₂×#2410	1	1	yes	characteristic
869	C₂×C₄	C₂×#2410	1	1	yes	characteristic
870	C₂×C₄	#34980	1	1	yes	characteristic
871	C₂×C₄	#34980	1	1	yes	characteristic
872	C₂×C₄	#34980	1	1	yes	characteristic
873	C₂×C₄	#34980	1	1	yes	characteristic
874	C₂×C₄	#34980	1	1	yes	characteristic
875	C₂×C₄	#34980	1	1	yes	characteristic
876	C₂×C₄	#34980	1	1	yes	characteristic
877	C₂×C₄	#34980	1	1	yes	characteristic
878	C₂×C₄	#34980	1	1	yes	characteristic
879	C₂×C₄	#35222	1	1	yes	characteristic
880	C₂×C₄	#35222	1	1	yes	characteristic
881	C₂×C₄	#35222	1	1	yes	characteristic
882	C₂×C₄	#35222	1	1	yes	characteristic
883	C₂×C₄	#35346	1	1	yes	characteristic
884	C₂×C₄	#35346	1	1	yes	characteristic
885	C₂×C₄	#35347	1	1	yes	characteristic
886	C₂×C₄	#35347	1	1	yes	characteristic
887	C₂×C₄	#35512	1	1	yes	characteristic
888	C₂×C₄	#35527	1	1	yes	characteristic
889	C₂×C₄	#35680	1	1	yes	characteristic
890	C₂×C₄	#35680	1	1	yes	characteristic
891	C₂×C₄	#35680	1	1	yes	characteristic
892	C₂×C₄	#35680	1	1	yes	characteristic
893	C₂×C₄	#35680	1	1	yes	characteristic
894	C₂×C₄	#35680	1	1	yes	characteristic
895	C₂×C₄	#35680	1	1	yes	characteristic
896	C₂×C₄	#35680	1	1	yes	characteristic
897	C₂×C₄	#35691	1	1	yes	characteristic
898	C₂×C₄	#35691	1	1	yes	characteristic
899	C₂×C₄	#35691	1	1	yes	characteristic
900	C₂×C₄	#35761	1	1	yes	characteristic
901	C₂×C₄	D₄×#120	1	1	yes	characteristic
902	C₂×C₄	D₄×#120	1	1	yes	characteristic
903	C₂×C₄	#36152	1	1	yes	characteristic
904	C₂×C₄	#36152	1	1	yes	characteristic
905	C₂×C₄	C₂×#2846	1	1	yes	characteristic
906	C₂×C₄	#37644	1	1	yes	characteristic
907	C₂×C₄	#37650	1	1	yes	characteristic
908	C₂×C₄	#37672	1	1	yes	characteristic
909	C₂×C₄	#37674	1	1	yes	characteristic
910	C₂×C₄	#38020	1	1	yes	characteristic
911	C₂×C₄	#38020	1	1	yes	characteristic
912	C₂×C₄	#38026	1	1	yes	characteristic
913	C₂×C₄	#38076	1	1	yes	characteristic
914	C₂×C₄	#38076	1	1	yes	characteristic
915	C₂×C₄	#38080	1	1	yes	characteristic
916	C₂×C₄	#38904	1	1	yes	characteristic
917	C₂×C₄	#38904	1	1	yes	characteristic
918	C₂×C₄	#38910	1	1	yes	characteristic
919	C₂×C₄	#38949	1	1	yes	characteristic
920	C₂×C₄	#38949	1	1	yes	characteristic
921	C₂×C₄	#38953	1	1	yes	characteristic
922	C₂×C₄	#39336	1	1	yes	characteristic
923	C₂×C₄	#39342	1	1	yes	characteristic
924	C₂×C₄	#39358	1	1	yes	characteristic
925	C₂×C₄	#39361	1	1	yes	characteristic
926	C₂×C₄	#40484	1	1	yes	characteristic
927	C₂×C₄	#40486	1	1	yes	characteristic
928	C₂×C₄	#40486	1	1	yes	characteristic
929	C₂×C₄	#40490	1	1	yes	characteristic
930	C₂×C₄	#40584	1	1	yes	characteristic
931	C₂×C₄	#40584	1	1	yes	characteristic
932	C₂×C₄	#40584	1	1	yes	characteristic
933	C₂×C₄	#40584	1	1	yes	characteristic
934	C₂×C₄	#40584	1	1	yes	characteristic
935	C₂×C₄	#40584	1	1	yes	characteristic
936	C₂×C₄	#40585	1	1	yes	characteristic
937	C₂×C₄	#40594	1	1	yes	characteristic
938	C₂×C₄	#42420	1	1	yes	characteristic
939	C₂×C₄	#42420	1	1	yes	characteristic
940	C₂×C₄	#42422	1	1	yes	characteristic
941	C₂×C₄	#42430	1	1	yes	characteristic
942	C₂×C₄	#42474	1	1	yes	characteristic
943	C₂×C₄	#42475	1	1	yes	characteristic
944	C₂×C₄	#42475	1	1	yes	characteristic
945	C₂×C₄	#42475	1	1	yes	characteristic
946	C₂×C₄	#42475	1	1	yes	characteristic
947	C₂×C₄	#42475	1	1	yes	characteristic
948	C₂×C₄	#42475	1	1	yes	characteristic
949	C₂×C₄	#42480	1	1	yes	characteristic
950	C₂×C₄	#42996	1	1	yes	characteristic
951	C₂×C₄	#42996	1	1	yes	characteristic
952	C₂×C₄	#42998	1	1	yes	characteristic
953	C₂×C₄	#43001	1	1	yes	characteristic
954	C₂×C₄	#43001	1	1	yes	characteristic
955	C₂×C₄	#43001	1	1	yes	characteristic
956	C₂×C₄	#43001	1	1	yes	characteristic
957	C₂×C₄	#43019	1	1	yes	characteristic
958	C₂×C₄	#43095	1	1	yes	characteristic
959	C₂×C₄	#43095	1	1	yes	characteristic
960	C₂×C₄	#43886	1	1	yes	characteristic
961	C₂×C₄	#43886	1	1	yes	characteristic
962	C₂×C₄	#44870	1	1	yes	characteristic
963	C₂×C₄	#44870	1	1	yes	characteristic
964	C₂×C₄	#44872	1	1	yes	characteristic
965	C₂×C₄	#44872	1	1	yes	characteristic
966	C₂×C₄	#44877	1	1	yes	characteristic
967	C₂×C₄	#44927	1	1	yes	characteristic
968	C₂×C₄	#44929	1	1	yes	characteristic
969	C₂×C₄	#45352	1	1	yes	characteristic
970	C₂×C₄	#47827	1	1	yes	characteristic
971	C₂×C₄	#47827	1	1	yes	characteristic
972	C₂×C₄	#47827	1	1	yes	characteristic
973	C₂×C₄	#47838	1	1	yes	characteristic
974	C₂×C₄	#47928	1	1	yes	characteristic
975	C₂×C₄	#47928	1	1	yes	characteristic
976	C₂×C₄	#47928	1	1	yes	characteristic
977	C₂×C₄	#47929	1	1	yes	characteristic
978	C₂×C₄	#47932	1	1	yes	characteristic
979	C₂×C₄	#47932	1	1	yes	characteristic
980	C₂×C₄	#47942	1	1	yes	characteristic
981	C₂×C₄	#47942	1	1	yes	characteristic
982	C₂×C₄	#49545	1	1	yes	characteristic
983	C₂×C₄	#49545	1	1	yes	characteristic
984	C₂×C₄	#49545	1	1	yes	characteristic
985	C₂×C₄	#49554	1	1	yes	characteristic
986	C₂²	#612433	1	1	yes	characteristic
987	C₂²	#686258	1	1	yes	characteristic
988	C₂²	#687655	1	1	yes	characteristic
989	C₂²	#1258513	1	1	yes	characteristic
990	C₂²	#1258898	1	1	yes	characteristic
991	C₂²	#1258905	1	1	yes	characteristic
992	C₂²	#1260050	1	1	yes	characteristic
993	C₂²	#1260433	1	1	yes	characteristic
994	C₂²	#1260442	1	1	yes	characteristic
995	C₂²	#1393169	1	1	yes	characteristic
996	C₂²	#1393922	1	1	yes	characteristic
997	C₂²	#4417880	1	1	yes	characteristic
998	C₂²	#4417886	1	1	yes	characteristic
999	C₂²	#4420586	1	1	yes	characteristic
1000	C₂²	#4420592	1	1	yes	characteristic
1001	C₄	#686258	1	1	yes	characteristic
1002	C₄	#686267	1	1	yes	characteristic
1003	C₄	#687655	1	1	yes	characteristic
1004	C₄	#687660	1	1	yes	characteristic
1005	C₄	#1258513	1	1	yes	characteristic
1006	C₄	#1258522	1	1	yes	characteristic
1007	C₄	#1258898	1	1	yes	characteristic
1008	C₄	#1260050	1	1	yes	characteristic
1009	C₄	#1260057	1	1	yes	characteristic
1010	C₄	#1260433	1	1	yes	characteristic
1011	C₄	#1393546	1	1	yes	characteristic
1012	C₄	#1394155	1	1	yes	characteristic
1013	C₄	#4307937	1	1	yes	characteristic
1014	C₄	#4417880	1	1	yes	characteristic
1015	C₄	#4420586	1	1	yes	characteristic
1016	C₄	#4928938	1	1	yes	characteristic
1017	C₂	#72216047	1	2	yes	—
1018	C₂	#72251033	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#1260433
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. #72255601	C₂	semidirect
2. #72255599	C₂	semidirect
3. #72255598	C₂	semidirect
4. #72255597	C₂	semidirect
5. #72255596	C₂	semidirect
6. #72255594	C₂	semidirect
7. #72255589	C₂	semidirect
8. #72252214	C₂	semidirect
9. #72252213	C₂	semidirect
10. #72252212	C₂	semidirect
11. #72252211	C₂	semidirect
12. #72252179	C₂	semidirect
13. #72252178	C₂	semidirect
14. #72252151	C₂	semidirect
15. #72252139	C₂	semidirect
16. #72252133	C₂	semidirect
17. C₂×#396104	C₂	semidirect
18. C₂×#454037	C₂	semidirect
19. #72250795	C₂	semidirect
20. #72250505	C₂	semidirect
21. C₂×#382440	C₂	semidirect
22. #72239632	C₂	semidirect
23. #72237709	C₂	semidirect
24. #72237510	C₂	semidirect
25. #72237503	C₂	semidirect
26. #72236737	C₂	semidirect
27. C₂×#394040	C₂	semidirect
28. C₂×#10576108	C₂	semidirect
29. #72235076	C₂	semidirect
30. C₂×#393975	C₂	semidirect
31. C₂×#394108	C₂	semidirect
43. C₂×#60387	C₂²	semidirect
45. C₂×#60359	C₂²	semidirect
46. C₂²×#3019	C₂²	semidirect
50. C₂×#35222	C₂²	semidirect
51. C₂×#23525	C₂²	semidirect
52. C₂×#23525	C₂²	semidirect
53. C₂²×#2048	C₂²	semidirect
54. C₂×#23443	C₂²	semidirect
55. #6431784	C₂²	semidirect
56. #6431784	C₂²	semidirect
57. C₂×#23414	C₂²	semidirect
59. C₂²×#2010	C₂²	semidirect
60. C₂×#23412	C₂²	semidirect
61. C₂×#23412	C₂²	semidirect
63. C₂²×#2008	C₂²	semidirect
64. C₂²×#2008	C₂²	semidirect
65. C₂²×#2008	C₂²	semidirect
66. C₂×#23400	C₂²	semidirect
67. C₂×#23402	C₂²	semidirect
68. C₂×#23402	C₂²	semidirect
69. #6431707	C₂²	semidirect
70. C₂²×#1911	C₂²	semidirect
71. C₂×#21000	C₂²	semidirect
72. #6371397	C₂²	semidirect
73. C₂×#20902	C₂²	semidirect
74. C₂×#20708	C₂²	semidirect
75. C₂×#20708	C₂²	semidirect
76. C₂×#20623	C₂²	semidirect
77. C₂×#20623	C₂²	semidirect
78. C₂²×#1795	C₂²	semidirect
79. C₂×#20620	C₂²	semidirect
80. C₂×#20616	C₂²	semidirect
81. C₂×#20605	C₂²	semidirect
82. #6370719	C₂²	semidirect
83. C₂×#20598	C₂²	semidirect
84. C₂×#20598	C₂²	semidirect
85. C₂×#20591	C₂²	semidirect
86. C₂²×#1783	C₂²	semidirect
87. C₂×#20584	C₂²	semidirect
88. C₂×#11265	C₂²	semidirect
89. #358272	C₂²	semidirect
90. C₂×#11186	C₂²	semidirect
91. #357936	C₂²	semidirect
92. #357936	C₂²	semidirect
93. C₂×#11181	C₂²	semidirect
94. C₂×#11180	C₂²	semidirect
95. #357917	C₂²	semidirect
96. C₂×#11153	C₂²	semidirect
97. C₂×#11142	C₂²	semidirect
98. C₂×#11131	C₂²	semidirect
99. C₂×#11119	C₂²	semidirect
100. #357746	C₂²	semidirect
101. C₂×#11101	C₂²	semidirect
102. C₂×#11037	C₂²	semidirect
103. #357591	C₂²	semidirect
106. C₂×#11034	C₂²	semidirect
107. C₂×#11034	C₂²	semidirect
108. C₂×#11034	C₂²	semidirect
109. C₂×#11034	C₂²	semidirect
110. C₂×#11034	C₂²	semidirect
111. C₂×#11034	C₂²	semidirect
112. C₂×#11033	C₂²	semidirect
114. C₂×#11030	C₂²	semidirect
115. C₂×#11030	C₂²	semidirect
116. C₂×#11030	C₂²	semidirect
117. C₂×#11030	C₂²	semidirect
118. #357581	C₂²	semidirect
119. #357577	C₂²	semidirect
120. #357577	C₂²	semidirect
121. #357575	C₂²	semidirect
122. #357567	C₂²	semidirect
123. #357567	C₂²	semidirect
124. C₂×#11014	C₂²	semidirect
125. #357564	C₂²	semidirect
126. #357564	C₂²	semidirect
127. C₂×#11012	C₂²	semidirect
128. C₂×#11004	C₂²	semidirect
129. C₂×#11004	C₂²	semidirect
130. C₂×#11003	C₂²	semidirect
131. C₂×#11003	C₂²	semidirect
132. C₂×#11000	C₂²	semidirect
133. C₂×#11000	C₂²	semidirect
134. C₂×#11000	C₂²	semidirect
135. C₂×#11000	C₂²	semidirect
136. C₂×#11000	C₂²	semidirect
140. C₂×#10994	C₂²	semidirect
141. C₂×#10994	C₂²	semidirect
142. C₂×#10994	C₂²	semidirect
143. #357541	C₂²	semidirect
144. #357536	C₂²	semidirect
145. C₂×#10993	C₂²	semidirect
146. C₂×#10993	C₂²	semidirect
147. C₂×#10993	C₂²	semidirect
148. #357529	C₂²	semidirect
149. C₂×#10989	C₂²	semidirect
150. C₂×#10989	C₂²	semidirect
151. C₂×#10987	C₂²	semidirect
152. C₂×#10987	C₂²	semidirect
153. C₂×#10984	C₂²	semidirect
154. #357454	C₂²	semidirect
155. C₂×#10955	C₂²	semidirect
156. C₂×#10905	C₂²	semidirect
157. C₂×#10785	C₂²	semidirect
158. C₂×#10785	C₂²	semidirect
159. C₂×#10740	C₂²	semidirect
160. C₂×#10737	C₂²	semidirect
161. C₂×#10737	C₂²	semidirect
162. #353403	C₂²	semidirect
163. C₂×#10793	C₂²	semidirect
164. C₂×#10792	C₂²	semidirect
165. C₂×#10778	C₂²	semidirect
166. #353354	C₂²	semidirect
167. #124000	C₂²	semidirect
168. #123975	C₂²	semidirect
169. #123913	C₂²	semidirect
170. #123910	C₂²	semidirect
171. #123644	C₂²	semidirect
172. #123643	C₂²	semidirect
173. #123637	C₂²	semidirect
174. #123627	C₂²	semidirect
175. #123619	C₂²	semidirect
176. #123616	C₂²	semidirect
177. #123609	C₂²	semidirect
178. #123605	C₂²	semidirect
179. #123604	C₂²	semidirect
180. #123600	C₂²	semidirect
181. #123556	C₂²	semidirect
182. #123549	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123531	C₂²	semidirect
185. #123501	C₂²	semidirect
186. #123501	C₂²	semidirect
191. C₂²×#577	D₄	semidirect
192. C₂²×#576	D₄	semidirect
200. C₂³×AGL(1,ℤ/8)	D₄	semidirect
209. #62811	D₄	semidirect
223. C₂×#3040	D₄	semidirect
224. C₂×#3038	D₄	semidirect
225. #60369	D₄	semidirect
226. C₂×#3005	D₄	semidirect
227. C₂×#3005	D₄	semidirect
228. C₂×#3004	D₄	semidirect
229. C₂×#3003	D₄	semidirect
230. #60168	D₄	semidirect
354. #10994	D₄	semidirect
460. C₂×2₋¹⁺⁴	#120	semidirect
461. C₂×H(5,𝔽₂)	#120	semidirect
518. C₂²×Q₁₆	#120	semidirect
519. C₂²×SD₁₆	#120	semidirect
520. C₂²×SD₁₆	#120	semidirect
521. C₂²×D₈	#120	semidirect
545. C₄×#41	#120	semidirect
563. #419	#120	semidirect
564. #418	#120	semidirect

Maximal subgroups

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

subgroup	index
#72255601	2
#72255599	2
#72255598	2
#72255597	2
#72255596	2
#72255594	2
#72255589	2
#72252214	2
#72252213	2
#72252212	2
#72252211	2
#72252179	2
#72252178	2
#72252151	2
#72252139	2
#72252133	2
C₂×#396104	2
C₂×#454037	2
#72250795	2
#72250505	2
C₂×#382440	2
#72239632	2
#72237709	2
#72237510	2
#72237503	2
#72236737	2
C₂×#394040	2
C₂×#10576108	2
#72235076	2
C₂×#393975	2
C₂×#394108	2