Subgroups — #72256145

Order 2048.

At least 13984 conjugacy classes of subgroups; only the 1852 normal subgroups are shown.

The subgroup lattice has 1065 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72256136	C₂	1	1	yes	maximal, characteristic, complemented
2	#72256133	C₂	1	1	yes	maximal, characteristic, complemented
3	#72256131	C₂	1	1	yes	maximal, characteristic, complemented
4	#72256127	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#359650	C₂	1	1	yes	maximal, characteristic, complemented
6	#72256118	C₂	1	1	yes	maximal, characteristic, complemented
7	#72256115	C₂	1	1	yes	maximal, characteristic, complemented
8	#72256112	C₂	1	1	yes	maximal, characteristic, complemented
9	#72256108	C₂	1	1	yes	maximal, characteristic, complemented
10	#72256101	C₂	1	1	yes	maximal, characteristic, complemented
11	#72256096	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#394484	C₂	1	1	yes	maximal, characteristic, complemented
13	#72252180	C₂	1	1	yes	maximal, characteristic, complemented
14	#72251299	C₂	1	1	yes	maximal, characteristic, complemented
15	#72251210	C₂	1	1	yes	maximal, characteristic, complemented
16	#72251209	C₂	1	1	yes	maximal, characteristic, complemented
17	#72251207	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#404012	C₂	1	1	yes	maximal, characteristic, complemented
19	#72238124	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#10576378	C₂	1	1	yes	maximal, characteristic, complemented
21	#72237709	C₂	1	1	yes	maximal, characteristic, complemented
22	#72237707	C₂	1	1	yes	maximal, characteristic, complemented
23	#72237667	C₂	1	1	yes	maximal, characteristic, complemented
24	#72237666	C₂	1	1	yes	maximal, characteristic, complemented
25	#72237662	C₂	1	1	yes	maximal, characteristic, complemented
26	#72236747	C₂	1	1	yes	maximal, characteristic, complemented
27	#72235935	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#359639	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#6431795	C₂	1	1	yes	maximal, characteristic, complemented
30	#72235076	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#394102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#62842	C₂²	1	1	yes	characteristic
33	C₂×#62814	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#3484	C₂²	1	1	yes	characteristic
35	C₂²×#3484	C₂²	1	1	yes	characteristic
36	C₂×#60619	C₂²	1	1	yes	characteristic, complemented
37	C₂×#60518	C₂²	1	1	yes	characteristic, complemented
38	C₂×#60511	C₂²	1	1	yes	characteristic, complemented
39	C₂×#60490	C₂²	1	1	yes	characteristic
40	C₂×#60426	C₂²	1	1	yes	characteristic, complemented
41	C₂×#60454	C₂²	1	1	yes	characteristic, complemented
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	C₂×#60141	C₂²	1	1	yes	characteristic, complemented
47	C₂×#60168	C₂²	1	1	yes	characteristic
48	C₂×#60087	C₂²	1	1	yes	characteristic
49	C₂²×#2883	C₂²	1	1	yes	characteristic
50	C₂²×#2883	C₂²	1	1	yes	characteristic
51	C₂³×#418	C₂²	1	1	yes	characteristic
52	C₂×#34171	C₂²	1	1	yes	characteristic
53	C₂×#23474	C₂²	1	1	yes	characteristic, complemented
54	C₂×#23472	C₂²	1	1	yes	characteristic, complemented
55	#6431794	C₂²	1	1	yes	characteristic, complemented
56	C₂×#23445	C₂²	1	1	yes	characteristic
57	C₂×#23445	C₂²	1	1	yes	characteristic
58	C₂×#23445	C₂²	1	1	yes	characteristic
59	C₂×#23445	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
63	C₂×#23443	C₂²	1	1	yes	characteristic
64	C₂×#23443	C₂²	1	1	yes	characteristic, complemented
65	C₂×#23414	C₂²	1	1	yes	characteristic, complemented
66	C₂²×#2010	C₂²	1	1	yes	characteristic, complemented
67	C₂×#23412	C₂²	1	1	yes	characteristic, complemented
68	C₂²×#2008	C₂²	1	1	yes	characteristic, complemented
69	#6431722	C₂²	1	1	yes	characteristic, complemented
70	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
71	C₂×#21017	C₂²	1	1	yes	characteristic, complemented
72	C₂×#21014	C₂²	1	1	yes	characteristic, complemented
73	C₂×#21012	C₂²	1	1	yes	characteristic, complemented
74	C₂×#20998	C₂²	1	1	yes	characteristic, complemented
75	C₂²×#1904	C₂²	1	1	yes	characteristic
76	C₂²×#1904	C₂²	1	1	yes	characteristic
77	C₂×#20989	C₂²	1	1	yes	characteristic, complemented
78	#6371503	C₂²	1	1	yes	characteristic, complemented
79	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
81	C₂×#20947	C₂²	1	1	yes	characteristic, complemented
82	#6371420	C₂²	1	1	yes	characteristic
83	C₂×#20902	C₂²	1	1	yes	characteristic, complemented
84	C₂²×#1795	C₂²	1	1	yes	characteristic
85	C₂²×#1795	C₂²	1	1	yes	characteristic
86	C₂²×#1795	C₂²	1	1	yes	characteristic
87	C₂²×#1795	C₂²	1	1	yes	characteristic
88	#6370719	C₂²	1	1	yes	characteristic
89	C₂×#20598	C₂²	1	1	yes	characteristic
90	C₂×#20598	C₂²	1	1	yes	characteristic
91	C₂×#20354	C₂²	1	1	yes	characteristic
92	C₂×#11389	C₂²	1	1	yes	characteristic, complemented
93	#358789	C₂²	1	1	yes	characteristic, complemented
94	C₂×#11138	C₂²	1	1	yes	characteristic, complemented
95	C₂×#11138	C₂²	1	1	yes	characteristic, complemented
96	#357809	C₂²	1	1	yes	characteristic, complemented
97	C₂×#11119	C₂²	1	1	yes	characteristic, complemented
98	C₂×#11115	C₂²	1	1	yes	characteristic, complemented
99	C₂×#11094	C₂²	1	1	yes	characteristic, complemented
100	C₂×#11090	C₂²	1	1	yes	characteristic, complemented
101	#357677	C₂²	1	1	yes	characteristic, complemented
102	C₂×#11033	C₂²	1	1	yes	characteristic, complemented
103	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
104	#357577	C₂²	1	1	yes	characteristic, complemented
105	#357571	C₂²	1	1	yes	characteristic, complemented
106	#357564	C₂²	1	1	yes	characteristic, complemented
107	#357561	C₂²	1	1	yes	characteristic, complemented
108	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
109	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
110	C₂×#11004	C₂²	1	1	yes	characteristic, complemented
111	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
112	C₂×#11003	C₂²	1	1	yes	characteristic, complemented
113	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
114	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
115	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
116	#357548	C₂²	1	1	yes	characteristic, complemented
117	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
118	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
119	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
120	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
121	#357534	C₂²	1	1	yes	characteristic, complemented
122	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
123	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
124	#357529	C₂²	1	1	yes	characteristic, complemented
125	#357529	C₂²	1	1	yes	characteristic, complemented
126	C₂×#11006	C₂²	1	1	yes	characteristic, complemented
127	C₂×#11006	C₂²	1	1	yes	characteristic, complemented
128	#357475	C₂²	1	1	yes	characteristic, complemented
129	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
130	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
131	#357470	C₂²	1	1	yes	characteristic, complemented
132	C₂×#10984	C₂²	1	1	yes	characteristic, complemented
133	C₂×#10984	C₂²	1	1	yes	characteristic, complemented
134	#357454	C₂²	1	1	yes	characteristic, complemented
135	#357443	C₂²	1	1	yes	characteristic, complemented
136	#354114	C₂²	1	1	yes	characteristic, complemented
137	#354057	C₂²	1	1	yes	characteristic, complemented
138	C₂×#10785	C₂²	1	1	yes	characteristic
139	C₂×#10785	C₂²	1	1	yes	characteristic
140	C₂×#10785	C₂²	1	1	yes	characteristic
141	C₂×#10785	C₂²	1	1	yes	characteristic
142	C₂×#10785	C₂²	1	1	yes	characteristic
143	C₂×#10785	C₂²	1	1	yes	characteristic
144	C₂×#10785	C₂²	1	1	yes	characteristic
145	C₂×#10785	C₂²	1	1	yes	characteristic
146	C₂×#10783	C₂²	1	1	yes	characteristic, complemented
147	C₂×#10757	C₂²	1	1	yes	characteristic, complemented
148	#353448	C₂²	1	1	yes	characteristic, complemented
149	#353442	C₂²	1	1	yes	characteristic, complemented
150	C₂×#10743	C₂²	1	1	yes	characteristic, complemented
151	C₂×#10737	C₂²	1	1	yes	characteristic, complemented
152	#353407	C₂²	1	1	yes	characteristic, complemented
153	#353397	C₂²	1	1	yes	characteristic, complemented
154	C₂×#10776	C₂²	1	1	yes	characteristic
155	C₂×#10776	C₂²	1	1	yes	characteristic
156	C₂×#10776	C₂²	1	1	yes	characteristic
157	#353346	C₂²	1	1	yes	characteristic, complemented
158	C₂×#10716	C₂²	1	1	yes	characteristic, complemented
159	#124010	C₂²	1	1	yes	characteristic, complemented
160	#124005	C₂²	1	1	yes	characteristic, complemented
161	#123991	C₂²	1	1	yes	characteristic, complemented
162	#123983	C₂²	1	1	yes	characteristic, complemented
163	#123975	C₂²	1	1	yes	characteristic, complemented
164	#123975	C₂²	1	1	yes	characteristic, complemented
165	#123926	C₂²	1	1	yes	characteristic, complemented
166	#123926	C₂²	1	1	yes	characteristic, complemented
167	#123643	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	#123623	C₂²	1	1	yes	characteristic, complemented
172	#123623	C₂²	1	1	yes	characteristic, complemented
173	#123618	C₂²	1	1	yes	characteristic, complemented
174	#123616	C₂²	1	1	yes	characteristic, complemented
175	#123605	C₂²	1	1	yes	characteristic, complemented
176	#123600	C₂²	1	1	yes	characteristic, complemented
177	#123600	C₂²	1	1	yes	characteristic, complemented
178	#123600	C₂²	1	1	yes	characteristic, complemented
179	#123600	C₂²	1	1	yes	characteristic, complemented
180	#123560	C₂²	1	1	yes	characteristic, complemented
181	#123542	C₂²	1	1	yes	characteristic, complemented
182	#123537	C₂²	1	1	yes	characteristic, complemented
183	#123535	C₂²	1	1	yes	characteristic, complemented
184	#123531	C₂²	1	1	yes	characteristic, complemented
185	#123480	C₂²	1	1	yes	characteristic, complemented
186	#123461	C₂²	1	1	yes	characteristic, complemented
187	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
188	C₂³×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
189	C₂⁵×D₄	C₂³	1	1	yes	characteristic
190	C₂²×#575	C₂³	1	1	yes	characteristic
191	C₂²×#575	C₂³	1	1	yes	characteristic
192	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
193	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
194	C₂²×#568	C₂³	1	1	yes	characteristic
195	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
196	C₂×#3484	D₄	1	8	yes	complemented
197	C₂×#3458	C₂³	1	1	yes	characteristic
198	C₂×#3449	C₂³	1	1	yes	characteristic
199	C₂×#3449	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	C₂²×#535	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×#525	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	C₂×#3428	C₂³	1	1	yes	characteristic
214	C₂×#3428	C₂³	1	1	yes	characteristic
215	C₂²×#518	C₂³	1	1	yes	characteristic
216	C₂²×#518	C₂³	1	1	yes	characteristic
217	C₂²×#518	C₂³	1	1	yes	characteristic
218	C₂²×#518	C₂³	1	1	yes	characteristic
219	C₂³×#117	C₂³	1	1	yes	characteristic
220	#60490	D₄	1	8	yes	complemented
221	C₂×#3005	D₄	1	4	yes	complemented
222	C₂×#3003	D₄	1	4	yes	complemented
223	C₂×#3003	D₄	1	4	yes	complemented
224	C₂×#3003	D₄	1	4	yes	complemented
225	C₂×#2949	D₄	1	4	yes	complemented
226	C₂×#2948	D₄	1	4	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×#2905	C₂³	1	1	yes	characteristic
231	C₂²×#421	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	#60087	D₄	1	8	yes	complemented
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	C₂²×#418	D₄	1	8	yes	complemented
251	C₂²×#418	C₂³	1	1	yes	characteristic
252	C₂²×#418	C₂³	1	1	yes	characteristic
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×#413	C₂³	1	1	yes	characteristic
267	C₂²×#413	C₂³	1	1	yes	characteristic
268	C₂²×#413	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	C₂²×#410	C₂³	1	1	yes	characteristic
280	C₂²×#410	C₂³	1	1	yes	characteristic
281	C₂²×#410	C₂³	1	1	yes	characteristic
282	C₂²×#410	C₂³	1	1	yes	characteristic
283	C₂×#2879	C₂³	1	1	yes	characteristic
284	C₂×#2879	C₂³	1	1	yes	characteristic
285	C₂×#2879	C₂³	1	1	yes	characteristic
286	C₂²×#407	C₂³	1	1	yes	characteristic
287	C₂²×#407	C₂³	1	1	yes	characteristic
288	C₂²×#407	C₂³	1	1	yes	characteristic
289	C₂×#2873	C₂³	1	1	yes	characteristic
290	#34044	C₂³	1	1	yes	characteristic
291	#34044	C₂³	1	1	yes	characteristic
292	C₂×#2309	C₂³	1	1	yes	characteristic
293	C₂×#2309	C₂³	1	1	yes	characteristic
294	C₂×#2280	C₂³	1	1	yes	characteristic
295	C₂×#2280	C₂³	1	1	yes	characteristic
296	C₂×#2280	C₂³	1	1	yes	characteristic
297	C₂×#2280	C₂³	1	1	yes	characteristic
298	#23443	D₄	1	8	yes	complemented
299	C₂×#2022	D₄	1	4	yes	—
300	C₂×#2021	D₄	1	4	yes	—
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	C₂²×#344	C₂³	1	1	yes	characteristic
311	C₂×#1742	C₂³	1	1	yes	characteristic
312	C₂×#1742	C₂³	1	1	yes	characteristic
313	C₂×#1742	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×#1740	C₂³	1	1	yes	characteristic
329	#20347	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	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	C₂×#1733	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	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
354	#20335	C₂³	1	1	yes	characteristic
355	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
356	C₂²×H(5,𝔽₂)	C₂×D₄	1	4	yes	—
357	C₂³×#41	C₂×D₄	1	2	yes	—
358	C₂³×#41	#41	1	2	yes	complemented
359	C₂³×#41	C₂⁴	1	1	yes	characteristic
360	C₂³×#41	C₂⁴	1	1	yes	characteristic
361	C₂³×#41	C₂⁴	1	1	yes	characteristic
362	C₂³×#41	C₂⁴	1	1	yes	characteristic
363	C₂³×#41	C₂⁴	1	1	yes	characteristic
364	C₂⁴×D₄	C₂×D₄	1	2	yes	—
365	C₂⁴×D₄	C₂×D₄	1	2	yes	—
366	C₂⁴×D₄	C₂×D₄	1	4	yes	—
367	C₂⁴×D₄	C₂×D₄	1	4	yes	—
368	C₂⁴×D₄	C₂×D₄	1	2	yes	—
369	C₂⁴×D₄	#41	1	2	yes	complemented
370	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
371	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
372	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
373	C₂²×#137	C₂×D₄	1	2	yes	complemented
374	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
375	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
376	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
377	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	complemented
378	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
379	C₂³×D₈	C₂×D₄	1	2	yes	—
380	C₂×#568	C₂×D₄	1	4	yes	complemented
381	C₂³×M₁₆	C₂×D₄	1	4	yes	complemented
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	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
387	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
388	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
389	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
390	#3458	C₂×D₄	1	4	yes	complemented
391	#3449	C₂×D₄	1	4	yes	—
392	C₂×#535	C₂×D₄	1	4	yes	—
393	C₂×#535	C₂×D₄	1	4	yes	—
394	C₂×#534	C₂×D₄	1	4	yes	—
395	C₂×#525	C₂×D₄	1	4	yes	—
396	C₂×#525	C₂×D₄	1	4	yes	—
397	C₂×#525	C₂×D₄	1	4	yes	—
398	C₂×#525	C₂×D₄	1	4	yes	—
399	C₂×#525	C₂×D₄	1	2	yes	complemented
400	C₂×#525	C₂×D₄	1	2	yes	complemented
401	C₂×#525	C₂×D₄	1	4	yes	complemented
402	C₂²×#123	C₂×D₄	1	2	yes	—
403	C₂²×#123	C₂×D₄	1	2	yes	—
404	C₂²×#120	C₂×D₄	1	2	yes	—
405	C₂²×#120	C₂×D₄	1	2	yes	—
406	#3428	C₂×D₄	1	4	yes	complemented
407	C₂×#519	C₂×D₄	1	2	yes	complemented
408	C₂×#518	C₂×D₄	1	4	yes	—
409	C₂×#518	C₂×D₄	1	4	yes	—
410	C₂×#518	C₂×D₄	1	4	yes	—
411	C₂×#518	C₂×D₄	1	2	yes	complemented
412	C₂×#518	#41	1	4	yes	complemented
413	C₂×#518	#41	1	4	yes	complemented
414	C₂²×#117	C₂×D₄	1	4	yes	complemented
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	C₂²×#117	C₂⁴	1	1	yes	characteristic
420	C₂²×#117	C₂⁴	1	1	yes	characteristic
421	C₂²×#117	C₂⁴	1	1	yes	characteristic
422	C₂²×#117	C₂⁴	1	1	yes	characteristic
423	C₂²×#117	C₂⁴	1	1	yes	characteristic
424	C₂²×#117	C₂⁴	1	1	yes	characteristic
425	C₂²×#117	C₂⁴	1	1	yes	characteristic
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	#2911	C₂×D₄	1	4	yes	complemented
431	#2911	C₂×D₄	1	4	yes	complemented
432	C₂×#427	C₂×D₄	1	4	yes	complemented
433	#2905	C₂×D₄	1	4	yes	complemented
434	#2896	C₂×D₄	1	4	yes	complemented
435	#2896	C₂×D₄	1	4	yes	complemented
436	C₂×#419	C₂×D₄	1	2	yes	complemented
437	C₂×#419	C₂×D₄	1	2	yes	complemented
438	C₂×#418	C₂×D₄	1	4	yes	—
439	C₂×#418	C₂×D₄	1	4	yes	—
440	C₂×#418	C₂×D₄	1	4	yes	—
441	C₂×#418	C₂×D₄	1	4	yes	—
442	C₂×#418	C₂×D₄	1	4	yes	—
443	C₂×#418	C₂×D₄	1	4	yes	—
444	C₂×#418	C₂×D₄	1	4	yes	—
445	C₂×#418	C₂×D₄	1	4	yes	—
446	C₂×#418	C₂×D₄	1	4	yes	—
447	C₂×#418	C₂×D₄	1	2	yes	complemented
448	C₂×#418	C₂×D₄	1	4	yes	complemented
449	C₂×#418	C₂×D₄	1	4	yes	complemented
450	C₂×#418	C₂×D₄	1	2	yes	complemented
451	C₂×#418	C₂×D₄	1	4	yes	complemented
452	C₂²×#102	#41	1	4	yes	complemented
453	C₂×#410	C₂×D₄	1	4	yes	—
454	C₂×#410	C₂×D₄	1	4	yes	—
455	C₂²×#99	C₂×D₄	1	4	yes	—
456	C₂²×#99	C₂×D₄	1	4	yes	—
457	C₂×#407	C₂×D₄	1	2	yes	complemented
458	C₂×#407	C₂×D₄	1	2	yes	complemented
459	C₂×#407	C₂×D₄	1	4	yes	complemented
460	C₂×#405	C₂×D₄	1	4	yes	complemented
461	#2280	C₂×D₄	1	4	yes	—
462	C₂×#381	C₂×D₄	1	2	yes	—
463	C₂×#379	C₂×D₄	1	2	yes	—
464	#1740	C₂×D₄	1	4	yes	—
465	C₂×#342	C₂×D₄	1	4	yes	—
466	C₂⁶	C₂²×D₄	1	1	yes	characteristic
467	C₂²×#41	#120	1	8	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	H(5,𝔽₂)	1	2	yes	—
477	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
478	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
479	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
480	C₂³×Q₈	C₂×#41	1	1	yes	characteristic
481	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
482	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
483	C₂³×D₄	#120	1	8	yes	—
484	C₂³×D₄	#120	1	8	yes	—
485	C₂³×D₄	#120	1	8	yes	—
486	C₂³×D₄	C₂²×D₄	1	2	yes	—
487	C₂³×D₄	C₂²×D₄	1	2	yes	—
488	C₂³×D₄	C₂²×D₄	1	2	yes	—
489	C₂³×D₄	C₂²×D₄	1	2	yes	—
490	C₂³×D₄	C₂²×D₄	1	2	yes	—
491	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
492	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
493	C₂³×D₄	C₂²×D₄	1	2	yes	—
494	C₂³×D₄	C₂²×D₄	1	2	yes	—
495	C₂³×D₄	C₂²×D₄	1	2	yes	—
496	C₂³×D₄	C₂²×D₄	1	2	yes	—
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	C₂×#41	1	1	yes	characteristic
501	C₂³×D₄	C₂×#41	1	2	yes	—
502	C₂³×D₄	C₂×#41	1	2	yes	—
503	C₂³×D₄	C₂×#41	1	2	yes	—
504	C₂³×D₄	C₂×#41	1	2	yes	—
505	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
506	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
507	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
508	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
509	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
510	C₂³×D₄	2₋¹⁺⁴	1	2	yes	—
511	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
512	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
513	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
514	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
515	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
516	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
517	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
518	C₂⁴×C₄	C₂×#41	1	2	yes	—
519	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
520	C₂⁴×C₄	H(5,𝔽₂)	1	1	yes	characteristic
521	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
522	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
523	C₂²×SD₁₆	#120	1	8	yes	—
524	C₂²×D₈	#120	1	8	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	C₂²×D₄	1	2	yes	—
536	C₂³×C₈	C₂²×D₄	1	2	yes	—
537	C₂³×C₈	C₂×#41	1	2	yes	—
538	C₂×#123	#120	1	8	yes	—
539	C₂×#120	#120	1	8	yes	—
540	#518	#120	1	16	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	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	C₂²×D₄	1	2	yes	—
558	C₂×#117	C₂²×D₄	1	2	yes	—
559	C₂×#117	C₂²×D₄	1	2	yes	—
560	C₂×#117	C₂×#41	1	2	yes	—
561	C₂×#117	C₂×#41	1	2	yes	—
562	C₂×#117	C₂×#41	1	2	yes	—
563	C₂×#117	C₂×#41	1	2	yes	—
564	C₂×#117	H(5,𝔽₂)	1	2	yes	—
565	C₂×#117	H(5,𝔽₂)	1	2	yes	—
566	C₂×#117	H(5,𝔽₂)	1	2	yes	—
567	C₂×#117	H(5,𝔽₂)	1	2	yes	—
568	C₂×#117	H(5,𝔽₂)	1	2	yes	—
569	C₂²×C₄⋊C₄	C₂×#41	1	2	yes	—
570	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
571	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
572	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
573	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
574	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
575	#418	#120	1	16	yes	—
576	#418	#120	1	16	yes	—
577	#418	#120	1	16	yes	—
578	C₂⁵	C₂×#120	1	2	yes	—
579	C₂⁵	D₄²	1	1	yes	characteristic
580	C₂⁵	D₄²	1	2	yes	—
581	C₂⁵	D₄²	1	2	yes	—
582	C₂⁵	D₄²	1	1	yes	characteristic
583	C₂⁵	#546	1	2	yes	—
584	C₂⁵	C₂³×D₄	1	1	yes	characteristic
585	C₂²×Q₈	C₂×#120	1	2	yes	—
586	C₂²×Q₈	C₂×#120	1	2	yes	—
587	C₂²×Q₈	#534	1	2	yes	—
588	C₂²×Q₈	D₄²	1	2	yes	—
589	C₂²×Q₈	#546	1	2	yes	—
590	C₂²×D₄	C₂×#120	1	4	yes	—
591	C₂²×D₄	C₂×#120	1	2	yes	—
592	C₂²×D₄	C₂×#120	1	2	yes	—
593	C₂²×D₄	C₂×#120	1	4	yes	—
594	C₂²×D₄	C₂×#120	1	4	yes	—
595	C₂²×D₄	C₂×#120	1	4	yes	—
596	C₂²×D₄	C₂×#120	1	4	yes	—
597	C₂²×D₄	C₂×#120	1	4	yes	—
598	C₂²×D₄	C₂×#120	1	4	yes	—
599	C₂²×D₄	C₂×#120	1	4	yes	—
600	C₂²×D₄	C₂×#120	1	4	yes	—
601	C₂²×D₄	#525	1	4	yes	—
602	C₂²×D₄	#525	1	4	yes	—
603	C₂²×D₄	#525	1	4	yes	—
604	C₂²×D₄	#532	1	4	yes	—
605	C₂²×D₄	#532	1	4	yes	—
606	C₂²×D₄	#532	1	4	yes	—
607	C₂²×D₄	#534	1	2	yes	—
608	C₂²×D₄	#535	1	4	yes	—
609	C₂²×D₄	#535	1	4	yes	—
610	C₂²×D₄	#535	1	4	yes	—
611	C₂²×D₄	#537	1	4	yes	—
612	C₂²×D₄	#537	1	4	yes	—
613	C₂²×D₄	#537	1	4	yes	—
614	C₂²×D₄	D₄²	1	4	yes	—
615	C₂²×D₄	D₄²	1	2	yes	—
616	C₂²×D₄	#546	1	2	yes	—
617	C₂²×D₄	#546	1	4	yes	—
618	C₂²×D₄	#546	1	4	yes	—
619	C₂²×D₄	#546	1	4	yes	—
620	C₂²×D₄	#546	1	4	yes	—
621	C₂²×D₄	#546	1	4	yes	—
622	C₂²×D₄	#546	1	4	yes	—
623	C₂²×D₄	#546	1	4	yes	—
624	C₂²×D₄	#546	1	4	yes	—
625	C₂²×D₄	#546	1	4	yes	—
626	C₂²×D₄	#547	1	4	yes	—
627	C₂²×D₄	#547	1	4	yes	—
628	C₂²×D₄	#547	1	4	yes	—
629	C₂²×D₄	#548	1	4	yes	—
630	C₂²×D₄	#550	1	4	yes	—
631	C₂²×D₄	#550	1	4	yes	—
632	C₂²×D₄	#550	1	4	yes	—
633	C₂³×C₄	C₂×#120	1	2	yes	—
634	C₂³×C₄	C₂×#120	1	2	yes	—
635	C₂³×C₄	C₂×#120	1	4	yes	—
636	C₂³×C₄	C₂×#120	1	2	yes	—
637	C₂³×C₄	#534	1	2	yes	—
638	C₂³×C₄	#534	1	2	yes	—
639	C₂³×C₄	D₄²	1	2	yes	—
640	C₂³×C₄	D₄²	1	1	yes	characteristic
641	C₂³×C₄	D₄²	1	2	yes	—
642	C₂³×C₄	D₄²	1	1	yes	characteristic
643	C₂³×C₄	D₄²	1	2	yes	—
644	C₂³×C₄	D₄²	1	2	yes	—
645	C₂³×C₄	D₄²	1	4	yes	—
646	C₂³×C₄	D₄²	1	2	yes	—
647	C₂³×C₄	D₄²	1	2	yes	—
648	C₂³×C₄	#546	1	2	yes	—
649	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
650	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
651	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
652	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
653	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
654	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
655	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
656	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
657	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
658	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
659	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
660	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
661	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
662	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
663	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
664	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
665	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
666	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
667	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
668	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
669	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
670	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
671	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
672	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
673	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
674	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
675	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
676	C₂³×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
677	C₂³×C₄	#585	1	1	yes	characteristic
678	C₂³×C₄	#585	1	1	yes	characteristic
679	C₂×M₁₆	C₂×#120	1	4	yes	—
680	C₂×M₁₆	C₂×#120	1	4	yes	—
681	C₂×M₁₆	C₂×#120	1	4	yes	—
682	C₂²×C₈	C₂×#120	1	4	yes	—
683	#117	C₂×#120	1	4	yes	—
684	#117	C₂×#120	1	4	yes	—
685	#117	C₂×#120	1	4	yes	—
686	#117	C₂×#120	1	4	yes	—
687	#117	C₂×#120	1	4	yes	—
688	#117	#534	1	4	yes	—
689	#117	D₄²	1	4	yes	—
690	#117	D₄²	1	4	yes	—
691	#117	#546	1	4	yes	—
692	C₂×C₂²⋊C₄	C₂×#120	1	4	yes	—
693	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
694	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
695	C₂×C₂²⋊C₄	#546	1	4	yes	—
696	C₂×C₂²⋊C₄	#546	1	4	yes	—
697	C₂×C₄²	#546	1	4	yes	—
698	C₂⁴	#2403	1	2	yes	—
699	C₂⁴	#2403	1	4	yes	—
700	C₂⁴	#2403	1	2	yes	—
701	C₂⁴	C₂²×#120	1	1	yes	characteristic
702	C₂⁴	C₂×D₄²	1	1	yes	characteristic
703	C₂⁴	C₂×D₄²	1	1	yes	characteristic
704	C₂⁴	C₂×D₄²	1	1	yes	characteristic
705	C₂⁴	C₂×D₄²	1	1	yes	characteristic
706	C₂⁴	C₂×D₄²	1	1	yes	characteristic
707	C₂⁴	C₂×D₄²	1	1	yes	characteristic
708	C₂⁴	C₂×#546	1	1	yes	characteristic
709	C₂⁴	C₂×#546	1	1	yes	characteristic
710	C₂⁴	C₂×#546	1	1	yes	characteristic
711	C₂⁴	D₄×#41	1	1	yes	characteristic
712	C₂⁴	#3484	1	1	yes	characteristic
713	C₂⁴	#3484	1	1	yes	characteristic
714	C₂⁴	#3484	1	1	yes	characteristic
715	C₂⁴	#3489	1	1	yes	characteristic
716	C₂×D₄	#2388	1	8	yes	—
717	C₂×D₄	#2404	1	8	yes	—
718	C₂×D₄	#2404	1	8	yes	—
719	C₂×D₄	#2404	1	8	yes	—
720	C₂×D₄	#2407	1	8	yes	—
721	C₂×D₄	#2407	1	8	yes	—
722	C₂×D₄	#2407	1	8	yes	—
723	C₂×D₄	#2430	1	8	yes	—
724	C₂×D₄	#2430	1	8	yes	—
725	C₂×D₄	#2430	1	8	yes	—
726	C₂×D₄	#2431	1	8	yes	—
727	C₂×D₄	#2431	1	8	yes	—
728	C₂×D₄	#2431	1	8	yes	—
729	C₂×D₄	#2615	1	8	yes	—
730	C₂×D₄	#2846	1	8	yes	—
731	C₂²×C₄	#2403	1	2	yes	—
732	C₂²×C₄	#2403	1	4	yes	—
733	C₂²×C₄	#2403	1	2	yes	—
734	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
735	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
736	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
737	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
738	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
739	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
740	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
741	C₂²×C₄	C₂×#525	1	1	yes	characteristic
742	C₂²×C₄	C₂×#525	1	1	yes	characteristic
743	C₂²×C₄	C₂×#525	1	1	yes	characteristic
744	C₂²×C₄	C₂×#532	1	1	yes	characteristic
745	C₂²×C₄	C₂×#532	1	1	yes	characteristic
746	C₂²×C₄	C₂×#532	1	1	yes	characteristic
747	C₂²×C₄	C₂×#534	1	1	yes	characteristic
748	C₂²×C₄	C₂×#534	1	1	yes	characteristic
749	C₂²×C₄	C₂×#534	1	1	yes	characteristic
750	C₂²×C₄	C₂×#535	1	1	yes	characteristic
751	C₂²×C₄	C₂×#535	1	1	yes	characteristic
752	C₂²×C₄	C₂×#535	1	1	yes	characteristic
753	C₂²×C₄	C₂×#537	1	1	yes	characteristic
754	C₂²×C₄	C₂×#537	1	1	yes	characteristic
755	C₂²×C₄	C₂×#537	1	1	yes	characteristic
756	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
757	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
758	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
759	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
760	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
761	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
762	C₂²×C₄	C₂×#546	1	1	yes	characteristic
763	C₂²×C₄	C₂×#546	1	1	yes	characteristic
764	C₂²×C₄	C₂×#546	1	1	yes	characteristic
765	C₂²×C₄	C₂×#546	1	1	yes	characteristic
766	C₂²×C₄	C₂×#546	1	1	yes	characteristic
767	C₂²×C₄	C₂×#546	1	1	yes	characteristic
768	C₂²×C₄	C₂×#546	1	1	yes	characteristic
769	C₂²×C₄	C₂×#546	1	1	yes	characteristic
770	C₂²×C₄	C₂×#546	1	1	yes	characteristic
771	C₂²×C₄	C₂×#546	1	1	yes	characteristic
772	C₂²×C₄	C₂×#546	1	1	yes	characteristic
773	C₂²×C₄	C₂×#546	1	1	yes	characteristic
774	C₂²×C₄	C₂×#547	1	1	yes	characteristic
775	C₂²×C₄	C₂×#547	1	1	yes	characteristic
776	C₂²×C₄	C₂×#547	1	1	yes	characteristic
777	C₂²×C₄	C₂×#548	1	1	yes	characteristic
778	C₂²×C₄	C₂×#550	1	1	yes	characteristic
779	C₂²×C₄	C₂×#550	1	1	yes	characteristic
780	C₂²×C₄	C₂×#550	1	1	yes	characteristic
781	C₂²×C₄	D₄×#41	1	1	yes	characteristic
782	C₂²×C₄	#3484	1	1	yes	characteristic
783	C₂²×C₄	#3484	1	1	yes	characteristic
784	C₂²×C₄	#3484	1	1	yes	characteristic
785	C₂²×C₄	#3484	1	1	yes	characteristic
786	C₂²×C₄	#3484	1	1	yes	characteristic
787	C₂²×C₄	#3484	1	1	yes	characteristic
788	C₂²×C₄	#3484	1	1	yes	characteristic
789	C₂²×C₄	#3484	1	1	yes	characteristic
790	C₂²×C₄	#3484	1	1	yes	characteristic
791	C₂²×C₄	#3484	1	1	yes	characteristic
792	C₂²×C₄	#3484	1	1	yes	characteristic
793	C₂²×C₄	#3484	1	1	yes	characteristic
794	C₂²×C₄	#3484	1	1	yes	characteristic
795	C₂²×C₄	#3484	1	1	yes	characteristic
796	C₂²×C₄	#3484	1	1	yes	characteristic
797	C₂²×C₄	#3484	1	1	yes	characteristic
798	C₂²×C₄	#3484	1	1	yes	characteristic
799	C₂²×C₄	#3484	1	1	yes	characteristic
800	C₂²×C₄	#3484	1	1	yes	characteristic
801	C₂²×C₄	#3484	1	1	yes	characteristic
802	C₂²×C₄	#3484	1	1	yes	characteristic
803	C₂²×C₄	#3484	1	1	yes	characteristic
804	C₂²×C₄	#3484	1	1	yes	characteristic
805	C₂²×C₄	#3484	1	1	yes	characteristic
806	C₂²×C₄	#3484	1	1	yes	characteristic
807	C₂²×C₄	#3484	1	1	yes	characteristic
808	C₂²×C₄	#3485	1	1	yes	characteristic
809	C₂²×C₄	#3488	1	1	yes	characteristic
810	C₂²×C₄	#3488	1	1	yes	characteristic
811	C₂²×C₄	#3488	1	1	yes	characteristic
812	C₂²×C₄	#3488	1	1	yes	characteristic
813	C₂²×C₄	#3489	1	1	yes	characteristic
814	C₂²×C₄	#3490	1	1	yes	characteristic
815	C₂²×C₄	#3490	1	1	yes	characteristic
816	C₂²×C₄	#3490	1	1	yes	characteristic
817	C₂²×C₄	#3490	1	1	yes	characteristic
818	C₂²×C₄	#3490	1	1	yes	characteristic
819	C₂²×C₄	#3490	1	1	yes	characteristic
820	C₂²×C₄	#3490	1	1	yes	characteristic
821	C₂²×C₄	#3490	1	1	yes	characteristic
822	C₂²×C₄	#3494	1	1	yes	characteristic
823	C₂²×C₄	#3494	1	1	yes	characteristic
824	C₂²×C₄	#3494	1	1	yes	characteristic
825	C₂²×C₄	#3494	1	1	yes	characteristic
826	C₂²×C₄	#3496	1	1	yes	characteristic
827	C₂²×C₄	#3496	1	1	yes	characteristic
828	C₂²×C₄	#3496	1	1	yes	characteristic
829	C₂²×C₄	#3496	1	1	yes	characteristic
830	C₂²×C₄	#3496	1	1	yes	characteristic
831	C₂²×C₄	#3496	1	1	yes	characteristic
832	C₂²×C₄	#3496	1	1	yes	characteristic
833	C₂²×C₄	#3496	1	1	yes	characteristic
834	C₂²×C₄	#3498	1	1	yes	characteristic
835	C₂²×C₄	#3498	1	1	yes	characteristic
836	C₂²×C₄	#3498	1	1	yes	characteristic
837	C₂²×C₄	#3498	1	1	yes	characteristic
838	C₂²×C₄	#3505	1	1	yes	characteristic
839	C₂²×C₄	#3505	1	1	yes	characteristic
840	C₂²×C₄	#3508	1	1	yes	characteristic
841	C₂²×C₄	#3508	1	1	yes	characteristic
842	C₂²×C₄	#3508	1	1	yes	characteristic
843	C₂²×C₄	#3508	1	1	yes	characteristic
844	C₂²×C₄	#3519	1	1	yes	characteristic
845	C₂²×C₄	#3519	1	1	yes	characteristic
846	C₂²×C₄	#3519	1	1	yes	characteristic
847	C₂²×C₄	#3519	1	1	yes	characteristic
848	C₂²×C₄	#3519	1	1	yes	characteristic
849	C₂²×C₄	#3519	1	1	yes	characteristic
850	C₂²×C₄	#3532	1	1	yes	characteristic
851	C₂²×C₄	#3532	1	1	yes	characteristic
852	C₂²×C₄	#3532	1	1	yes	characteristic
853	C₂²×C₄	#3532	1	1	yes	characteristic
854	C₂²×C₄	#3532	1	1	yes	characteristic
855	C₂²×C₄	#3532	1	1	yes	characteristic
856	C₂²×C₄	#3532	1	1	yes	characteristic
857	C₂²×C₄	#3532	1	1	yes	characteristic
858	C₂²×C₄	#3534	1	1	yes	characteristic
859	C₂²×C₄	#3534	1	1	yes	characteristic
860	C₂²×C₄	#3534	1	1	yes	characteristic
861	C₂²×C₄	#3534	1	1	yes	characteristic
862	C₂²×C₄	#3536	1	1	yes	characteristic
863	C₂²×C₄	#3536	1	1	yes	characteristic
864	C₂²×C₄	#3536	1	1	yes	characteristic
865	C₂²×C₄	#3536	1	1	yes	characteristic
866	C₂²×C₄	#3536	1	1	yes	characteristic
867	C₂²×C₄	#3536	1	1	yes	characteristic
868	C₂²×C₄	#3542	1	1	yes	characteristic
869	C₂²×C₄	#3542	1	1	yes	characteristic
870	C₂²×C₄	#3543	1	1	yes	characteristic
871	C₂²×C₄	#3543	1	1	yes	characteristic
872	C₂²×C₄	#3543	1	1	yes	characteristic
873	C₂²×C₄	#3543	1	1	yes	characteristic
874	C₂²⋊C₄	#2403	1	8	yes	—
875	C₂³	C₂×#2403	1	1	yes	characteristic
876	C₂³	C₂×#2403	1	1	yes	characteristic
877	C₂³	C₂×#2403	1	1	yes	characteristic
878	C₂³	D₄×#120	1	1	yes	characteristic
879	C₂³	D₄×#120	1	1	yes	characteristic
880	C₂³	D₄×#120	1	1	yes	characteristic
881	C₂³	D₄×#120	1	1	yes	characteristic
882	C₂³	#36096	1	1	yes	characteristic
883	C₂³	#36098	1	1	yes	characteristic
884	C₂³	#36098	1	1	yes	characteristic
885	C₂³	#36121	1	1	yes	characteristic
886	C₂³	#36123	1	1	yes	characteristic
887	C₂³	#36123	1	1	yes	characteristic
888	C₂³	#36152	1	1	yes	characteristic
889	C₂³	#36152	1	1	yes	characteristic
890	C₂³	#36152	1	1	yes	characteristic
891	C₂³	#36213	1	1	yes	characteristic
892	C₂³	#37645	1	1	yes	characteristic
893	C₂³	#37645	1	1	yes	characteristic
894	C₂³	#37648	1	1	yes	characteristic
895	C₂³	#37673	1	1	yes	characteristic
896	C₂³	#37673	1	1	yes	characteristic
897	C₂³	#37674	1	1	yes	characteristic
898	C₂³	#58991	1	1	yes	characteristic
899	C₂³	#58991	1	1	yes	characteristic
900	C₂³	#58991	1	1	yes	characteristic
901	C₂³	#58991	1	1	yes	characteristic
902	C₂³	#58996	1	1	yes	characteristic
903	C₂³	#59003	1	1	yes	characteristic
904	C₂³	#59015	1	1	yes	characteristic
905	C₂³	#59015	1	1	yes	characteristic
906	C₂³	#59123	1	1	yes	characteristic
907	C₂³	#59123	1	1	yes	characteristic
908	C₂³	#59124	1	1	yes	characteristic
909	C₂³	#59124	1	1	yes	characteristic
910	D₄	#14885	1	16	yes	—
911	C₂×C₄	C₂×#2388	1	1	yes	characteristic
912	C₂×C₄	C₂×#2615	1	1	yes	characteristic
913	C₂×C₄	C₂×#2407	1	1	yes	characteristic
914	C₂×C₄	C₂×#2407	1	1	yes	characteristic
915	C₂×C₄	C₂×#2407	1	1	yes	characteristic
916	C₂×C₄	C₂×#2431	1	1	yes	characteristic
917	C₂×C₄	C₂×#2431	1	1	yes	characteristic
918	C₂×C₄	C₂×#2431	1	1	yes	characteristic
919	C₂×C₄	C₂×#2404	1	1	yes	characteristic
920	C₂×C₄	C₂×#2404	1	1	yes	characteristic
921	C₂×C₄	C₂×#2404	1	1	yes	characteristic
922	C₂×C₄	C₂×#2430	1	1	yes	characteristic
923	C₂×C₄	C₂×#2430	1	1	yes	characteristic
924	C₂×C₄	C₂×#2430	1	1	yes	characteristic
925	C₂×C₄	#34980	1	1	yes	characteristic
926	C₂×C₄	#34980	1	1	yes	characteristic
927	C₂×C₄	#34980	1	1	yes	characteristic
928	C₂×C₄	#35346	1	1	yes	characteristic
929	C₂×C₄	#35346	1	1	yes	characteristic
930	C₂×C₄	#35347	1	1	yes	characteristic
931	C₂×C₄	#35347	1	1	yes	characteristic
932	C₂×C₄	#35512	1	1	yes	characteristic
933	C₂×C₄	#35527	1	1	yes	characteristic
934	C₂×C₄	#35680	1	1	yes	characteristic
935	C₂×C₄	#35680	1	1	yes	characteristic
936	C₂×C₄	#35680	1	1	yes	characteristic
937	C₂×C₄	#35680	1	1	yes	characteristic
938	C₂×C₄	#35680	1	1	yes	characteristic
939	C₂×C₄	#35680	1	1	yes	characteristic
940	C₂×C₄	#35680	1	1	yes	characteristic
941	C₂×C₄	#35680	1	1	yes	characteristic
942	C₂×C₄	#35681	1	1	yes	characteristic
943	C₂×C₄	#35681	1	1	yes	characteristic
944	C₂×C₄	#35681	1	1	yes	characteristic
945	C₂×C₄	#35681	1	1	yes	characteristic
946	C₂×C₄	#35692	1	1	yes	characteristic
947	C₂×C₄	#35692	1	1	yes	characteristic
948	C₂×C₄	#35694	1	1	yes	characteristic
949	C₂×C₄	#35694	1	1	yes	characteristic
950	C₂×C₄	#35694	1	1	yes	characteristic
951	C₂×C₄	#35694	1	1	yes	characteristic
952	C₂×C₄	#35922	1	1	yes	characteristic
953	C₂×C₄	#35922	1	1	yes	characteristic
954	C₂×C₄	D₄×#120	1	1	yes	characteristic
955	C₂×C₄	D₄×#120	1	1	yes	characteristic
956	C₂×C₄	D₄×#120	1	1	yes	characteristic
957	C₂×C₄	D₄×#120	1	1	yes	characteristic
958	C₂×C₄	#36096	1	1	yes	characteristic
959	C₂×C₄	#36098	1	1	yes	characteristic
960	C₂×C₄	#36098	1	1	yes	characteristic
961	C₂×C₄	#36121	1	1	yes	characteristic
962	C₂×C₄	#36123	1	1	yes	characteristic
963	C₂×C₄	#36123	1	1	yes	characteristic
964	C₂×C₄	C₂×#2846	1	1	yes	characteristic
965	C₂×C₄	#37645	1	1	yes	characteristic
966	C₂×C₄	#37645	1	1	yes	characteristic
967	C₂×C₄	#37648	1	1	yes	characteristic
968	C₂×C₄	#37673	1	1	yes	characteristic
969	C₂×C₄	#37673	1	1	yes	characteristic
970	C₂×C₄	#37674	1	1	yes	characteristic
971	C₂×C₄	#37832	1	1	yes	characteristic
972	C₂×C₄	#37832	1	1	yes	characteristic
973	C₂×C₄	#37832	1	1	yes	characteristic
974	C₂×C₄	#37832	1	1	yes	characteristic
975	C₂×C₄	#37834	1	1	yes	characteristic
976	C₂×C₄	#37834	1	1	yes	characteristic
977	C₂×C₄	#38036	1	1	yes	characteristic
978	C₂×C₄	#38036	1	1	yes	characteristic
979	C₂×C₄	#38916	1	1	yes	characteristic
980	C₂×C₄	#39464	1	1	yes	characteristic
981	C₂×C₄	#39464	1	1	yes	characteristic
982	C₂×C₄	#39466	1	1	yes	characteristic
983	C₂×C₄	#40485	1	1	yes	characteristic
984	C₂×C₄	#40485	1	1	yes	characteristic
985	C₂×C₄	#40485	1	1	yes	characteristic
986	C₂×C₄	#40485	1	1	yes	characteristic
987	C₂×C₄	#40488	1	1	yes	characteristic
988	C₂×C₄	#40488	1	1	yes	characteristic
989	C₂×C₄	#40586	1	1	yes	characteristic
990	C₂×C₄	#40586	1	1	yes	characteristic
991	C₂×C₄	#40586	1	1	yes	characteristic
992	C₂×C₄	#40586	1	1	yes	characteristic
993	C₂×C₄	#40588	1	1	yes	characteristic
994	C₂×C₄	#40588	1	1	yes	characteristic
995	C₂×C₄	#42997	1	1	yes	characteristic
996	C₂×C₄	#42997	1	1	yes	characteristic
997	C₂×C₄	#42997	1	1	yes	characteristic
998	C₂×C₄	#42997	1	1	yes	characteristic
999	C₂×C₄	#43002	1	1	yes	characteristic
1000	C₂×C₄	#43002	1	1	yes	characteristic
1001	C₂×C₄	#43079	1	1	yes	characteristic
1002	C₂×C₄	#43079	1	1	yes	characteristic
1003	C₂×C₄	#43079	1	1	yes	characteristic
1004	C₂×C₄	#43079	1	1	yes	characteristic
1005	C₂×C₄	#43095	1	1	yes	characteristic
1006	C₂×C₄	#43095	1	1	yes	characteristic
1007	C₂×C₄	#43095	1	1	yes	characteristic
1008	C₂×C₄	#43095	1	1	yes	characteristic
1009	C₂×C₄	#43099	1	1	yes	characteristic
1010	C₂×C₄	#43099	1	1	yes	characteristic
1011	C₂×C₄	#43099	1	1	yes	characteristic
1012	C₂×C₄	#43099	1	1	yes	characteristic
1013	C₂×C₄	#43887	1	1	yes	characteristic
1014	C₂×C₄	#43887	1	1	yes	characteristic
1015	C₂×C₄	#43887	1	1	yes	characteristic
1016	C₂×C₄	#43887	1	1	yes	characteristic
1017	C₂×C₄	#43894	1	1	yes	characteristic
1018	C₂×C₄	#43894	1	1	yes	characteristic
1019	C₂×C₄	#58991	1	1	yes	characteristic
1020	C₂×C₄	#58991	1	1	yes	characteristic
1021	C₂×C₄	#58991	1	1	yes	characteristic
1022	C₂×C₄	#58991	1	1	yes	characteristic
1023	C₂×C₄	#58996	1	1	yes	characteristic
1024	C₂×C₄	#59003	1	1	yes	characteristic
1025	C₂×C₄	#59015	1	1	yes	characteristic
1026	C₂×C₄	#59015	1	1	yes	characteristic
1027	C₂×C₄	#59123	1	1	yes	characteristic
1028	C₂×C₄	#59123	1	1	yes	characteristic
1029	C₂×C₄	#59124	1	1	yes	characteristic
1030	C₂×C₄	#59124	1	1	yes	characteristic
1031	C₂²	#612424	1	1	yes	characteristic
1032	C₂²	#647657	1	1	yes	characteristic
1033	C₂²	#647657	1	1	yes	characteristic
1034	C₂²	#647662	1	1	yes	characteristic
1035	C₂²	#649034	1	1	yes	characteristic
1036	C₂²	#649034	1	1	yes	characteristic
1037	C₂²	#649037	1	1	yes	characteristic
1038	C₂²	#777314	1	1	yes	characteristic
1039	C₂²	#777332	1	1	yes	characteristic
1040	C₂²	#778474	1	1	yes	characteristic
1041	C₂²	#778474	1	1	yes	characteristic
1042	C₂²	#778498	1	1	yes	characteristic
1043	C₂²	#778498	1	1	yes	characteristic
1044	C₂²	#1393171	1	1	yes	characteristic
1045	C₂²	#4306358	1	1	yes	characteristic
1046	C₄	C₂×#14885	1	1	yes	characteristic
1047	C₄	#695432	1	1	yes	characteristic
1048	C₄	#695432	1	1	yes	characteristic
1049	C₄	#695458	1	1	yes	characteristic
1050	C₄	#695458	1	1	yes	characteristic
1051	C₄	#725944	1	1	yes	characteristic
1052	C₄	#725988	1	1	yes	characteristic
1053	C₄	#777314	1	1	yes	characteristic
1054	C₄	#777332	1	1	yes	characteristic
1055	C₄	#778474	1	1	yes	characteristic
1056	C₄	#778474	1	1	yes	characteristic
1057	C₄	#778498	1	1	yes	characteristic
1058	C₄	#778498	1	1	yes	characteristic
1059	C₄	#1393171	1	1	yes	characteristic
1060	C₄	#4306358	1	1	yes	characteristic
1061	C₄	#4928938	1	1	yes	characteristic
1062	C₂	#72240432	1	2	yes	—
1063	C₂	#72251005	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#777314
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. #72256136	C₂	semidirect
2. #72256133	C₂	semidirect
3. #72256131	C₂	semidirect
4. #72256127	C₂	semidirect
5. C₂×#359650	C₂	semidirect
6. #72256118	C₂	semidirect
7. #72256115	C₂	semidirect
8. #72256112	C₂	semidirect
9. #72256108	C₂	semidirect
10. #72256101	C₂	semidirect
11. #72256096	C₂	semidirect
12. C₂×#394484	C₂	semidirect
13. #72252180	C₂	semidirect
14. #72251299	C₂	semidirect
15. #72251210	C₂	semidirect
16. #72251209	C₂	semidirect
17. #72251207	C₂	semidirect
18. C₂×#404012	C₂	semidirect
19. #72238124	C₂	semidirect
20. C₂×#10576378	C₂	semidirect
21. #72237709	C₂	semidirect
22. #72237707	C₂	semidirect
23. #72237667	C₂	semidirect
24. #72237666	C₂	semidirect
25. #72237662	C₂	semidirect
26. #72236747	C₂	semidirect
27. #72235935	C₂	semidirect
28. C₂×#359639	C₂	semidirect
29. C₂×#6431795	C₂	semidirect
30. #72235076	C₂	semidirect
31. C₂×#394102	C₂	semidirect
33. C₂×#62814	C₂²	semidirect
36. C₂×#60619	C₂²	semidirect
37. C₂×#60518	C₂²	semidirect
38. C₂×#60511	C₂²	semidirect
40. C₂×#60426	C₂²	semidirect
41. C₂×#60454	C₂²	semidirect
42. C₂×#60444	C₂²	semidirect
46. C₂×#60141	C₂²	semidirect
53. C₂×#23474	C₂²	semidirect
54. C₂×#23472	C₂²	semidirect
55. #6431794	C₂²	semidirect
64. C₂×#23443	C₂²	semidirect
65. C₂×#23414	C₂²	semidirect
66. C₂²×#2010	C₂²	semidirect
67. C₂×#23412	C₂²	semidirect
68. C₂²×#2008	C₂²	semidirect
69. #6431722	C₂²	semidirect
70. C₂×#23400	C₂²	semidirect
71. C₂×#21017	C₂²	semidirect
72. C₂×#21014	C₂²	semidirect
73. C₂×#21012	C₂²	semidirect
74. C₂×#20998	C₂²	semidirect
77. C₂×#20989	C₂²	semidirect
78. #6371503	C₂²	semidirect
79. C₂×#20983	C₂²	semidirect
80. C₂×#20979	C₂²	semidirect
81. C₂×#20947	C₂²	semidirect
83. C₂×#20902	C₂²	semidirect
92. C₂×#11389	C₂²	semidirect
93. #358789	C₂²	semidirect
94. C₂×#11138	C₂²	semidirect
95. C₂×#11138	C₂²	semidirect
96. #357809	C₂²	semidirect
97. C₂×#11119	C₂²	semidirect
98. C₂×#11115	C₂²	semidirect
99. C₂×#11094	C₂²	semidirect
100. C₂×#11090	C₂²	semidirect
101. #357677	C₂²	semidirect
102. C₂×#11033	C₂²	semidirect
103. C₂×#11030	C₂²	semidirect
104. #357577	C₂²	semidirect
105. #357571	C₂²	semidirect
106. #357564	C₂²	semidirect
107. #357561	C₂²	semidirect
108. C₂×#11004	C₂²	semidirect
109. C₂×#11004	C₂²	semidirect
110. C₂×#11004	C₂²	semidirect
111. C₂×#11003	C₂²	semidirect
112. C₂×#11003	C₂²	semidirect
113. C₂×#11000	C₂²	semidirect
114. C₂×#11000	C₂²	semidirect
115. C₂×#11000	C₂²	semidirect
116. #357548	C₂²	semidirect
117. C₂×#10994	C₂²	semidirect
118. C₂×#10994	C₂²	semidirect
119. C₂×#10994	C₂²	semidirect
120. C₂×#10994	C₂²	semidirect
121. #357534	C₂²	semidirect
122. C₂×#10993	C₂²	semidirect
123. C₂×#10993	C₂²	semidirect
124. #357529	C₂²	semidirect
125. #357529	C₂²	semidirect
126. C₂×#11006	C₂²	semidirect
127. C₂×#11006	C₂²	semidirect
128. #357475	C₂²	semidirect
129. C₂×#10987	C₂²	semidirect
130. C₂×#10987	C₂²	semidirect
131. #357470	C₂²	semidirect
132. C₂×#10984	C₂²	semidirect
133. C₂×#10984	C₂²	semidirect
134. #357454	C₂²	semidirect
135. #357443	C₂²	semidirect
136. #354114	C₂²	semidirect
137. #354057	C₂²	semidirect
146. C₂×#10783	C₂²	semidirect
147. C₂×#10757	C₂²	semidirect
148. #353448	C₂²	semidirect
149. #353442	C₂²	semidirect
150. C₂×#10743	C₂²	semidirect
151. C₂×#10737	C₂²	semidirect
152. #353407	C₂²	semidirect
153. #353397	C₂²	semidirect
157. #353346	C₂²	semidirect
158. C₂×#10716	C₂²	semidirect
159. #124010	C₂²	semidirect
160. #124005	C₂²	semidirect
161. #123991	C₂²	semidirect
162. #123983	C₂²	semidirect
163. #123975	C₂²	semidirect
164. #123975	C₂²	semidirect
165. #123926	C₂²	semidirect
166. #123926	C₂²	semidirect
167. #123643	C₂²	semidirect
168. #123637	C₂²	semidirect
169. #123637	C₂²	semidirect
170. #123627	C₂²	semidirect
171. #123623	C₂²	semidirect
172. #123623	C₂²	semidirect
173. #123618	C₂²	semidirect
174. #123616	C₂²	semidirect
175. #123605	C₂²	semidirect
176. #123600	C₂²	semidirect
177. #123600	C₂²	semidirect
178. #123600	C₂²	semidirect
179. #123600	C₂²	semidirect
180. #123560	C₂²	semidirect
181. #123542	C₂²	semidirect
182. #123537	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123531	C₂²	semidirect
185. #123480	C₂²	semidirect
186. #123461	C₂²	semidirect
196. C₂×#3484	D₄	semidirect
220. #60490	D₄	semidirect
221. C₂×#3005	D₄	semidirect
222. C₂×#3003	D₄	semidirect
223. C₂×#3003	D₄	semidirect
224. C₂×#3003	D₄	semidirect
225. C₂×#2949	D₄	semidirect
226. C₂×#2948	D₄	semidirect
241. #60087	D₄	semidirect
250. C₂²×#418	D₄	semidirect
298. #23443	D₄	semidirect
358. C₂³×#41	#41	semidirect
369. C₂⁴×D₄	#41	semidirect
373. C₂²×#137	C₂×D₄	semidirect
376. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
377. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
380. C₂×#568	C₂×D₄	semidirect
381. C₂³×M₁₆	C₂×D₄	semidirect
390. #3458	C₂×D₄	semidirect
399. C₂×#525	C₂×D₄	semidirect
400. C₂×#525	C₂×D₄	semidirect
401. C₂×#525	C₂×D₄	semidirect
406. #3428	C₂×D₄	semidirect
407. C₂×#519	C₂×D₄	semidirect
411. C₂×#518	C₂×D₄	semidirect
412. C₂×#518	#41	semidirect
413. C₂×#518	#41	semidirect
414. C₂²×#117	C₂×D₄	semidirect
430. #2911	C₂×D₄	semidirect
431. #2911	C₂×D₄	semidirect
432. C₂×#427	C₂×D₄	semidirect
433. #2905	C₂×D₄	semidirect
434. #2896	C₂×D₄	semidirect
435. #2896	C₂×D₄	semidirect
436. C₂×#419	C₂×D₄	semidirect
437. C₂×#419	C₂×D₄	semidirect
447. C₂×#418	C₂×D₄	semidirect
448. C₂×#418	C₂×D₄	semidirect
449. C₂×#418	C₂×D₄	semidirect
450. C₂×#418	C₂×D₄	semidirect
451. C₂×#418	C₂×D₄	semidirect
452. C₂²×#102	#41	semidirect
457. C₂×#407	C₂×D₄	semidirect
458. C₂×#407	C₂×D₄	semidirect
459. C₂×#407	C₂×D₄	semidirect
460. C₂×#405	C₂×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72256136	2
#72256133	2
#72256131	2
#72256127	2
C₂×#359650	2
#72256118	2
#72256115	2
#72256112	2
#72256108	2
#72256101	2
#72256096	2
C₂×#394484	2
#72252180	2
#72251299	2
#72251210	2
#72251209	2
#72251207	2
C₂×#404012	2
#72238124	2
C₂×#10576378	2
#72237709	2
#72237707	2
#72237667	2
#72237666	2
#72237662	2
#72236747	2
#72235935	2
C₂×#359639	2
C₂×#6431795	2
#72235076	2
C₂×#394102	2