Subgroups — #72256366

Order 2048.

At least 15511 conjugacy classes of subgroups; only the 1568 normal subgroups are shown.

The subgroup lattice has 1034 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72256355	C₂	1	1	yes	maximal, characteristic, complemented
2	#72256351	C₂	1	1	yes	maximal, characteristic, complemented
3	#72256327	C₂	1	1	yes	maximal, characteristic, complemented
4	#72256279	C₂	1	1	yes	maximal, characteristic, complemented
5	#72256165	C₂	1	1	yes	maximal, characteristic, complemented
6	#72256115	C₂	1	1	yes	maximal, characteristic, complemented
7	#72256046	C₂	1	1	yes	maximal, characteristic, complemented
8	#72255979	C₂	1	1	yes	maximal, characteristic, complemented
9	#72255979	C₂	1	1	yes	maximal, characteristic, complemented
10	#72255923	C₂	1	1	yes	maximal, characteristic, complemented
11	#72255831	C₂	1	1	yes	maximal, characteristic, complemented
12	#72255732	C₂	1	1	yes	maximal, characteristic, complemented
13	#72255660	C₂	1	1	yes	maximal, characteristic, complemented
14	#72252195	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#449600	C₂	1	1	yes	maximal, characteristic, complemented
16	#72251318	C₂	1	1	yes	maximal, characteristic, complemented
17	#72251296	C₂	1	1	yes	maximal, characteristic, complemented
18	#72251201	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#417620	C₂	1	1	yes	maximal, characteristic, complemented
20	#72251060	C₂	1	1	yes	maximal, characteristic, complemented
21	#72250089	C₂	1	1	yes	maximal, characteristic, complemented
22	#72249921	C₂	1	1	yes	maximal, characteristic, complemented
23	#72238106	C₂	1	1	yes	maximal, characteristic, complemented
24	#72237699	C₂	1	1	yes	maximal, characteristic, complemented
25	#72237699	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#417618	C₂	1	1	yes	maximal, characteristic, complemented
27	#72237672	C₂	1	1	yes	maximal, characteristic, complemented
28	#72237193	C₂	1	1	yes	maximal, characteristic, complemented
29	#72236737	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#449496	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#10575442	C₂	1	1	yes	maximal, characteristic, complemented
32	#10586020	C₂²	1	1	yes	characteristic, complemented
33	C₂×#62811	C₂²	1	1	yes	characteristic
34	C₂³×#535	C₂²	1	1	yes	characteristic, complemented
35	C₂×#60518	C₂²	1	1	yes	characteristic, complemented
36	C₂×#60518	C₂²	1	1	yes	characteristic, complemented
37	C₂×#60511	C₂²	1	1	yes	characteristic
38	C₂×#60511	C₂²	1	1	yes	characteristic, complemented
39	C₂×#60454	C₂²	1	1	yes	characteristic
40	C₂×#60454	C₂²	1	1	yes	characteristic
41	C₂×#60454	C₂²	1	1	yes	characteristic, complemented
42	C₂×#60454	C₂²	1	1	yes	characteristic, complemented
43	C₂×#60398	C₂²	1	1	yes	characteristic, complemented
44	C₂²×#3025	C₂²	1	1	yes	characteristic
45	C₂×#60369	C₂²	1	1	yes	characteristic
46	C₂×#60369	C₂²	1	1	yes	characteristic
47	C₂×#60369	C₂²	1	1	yes	characteristic, complemented
48	C₂²×#3021	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#3003	C₂²	1	1	yes	characteristic
50	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
51	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
52	C₂×#60064	C₂²	1	1	yes	characteristic, complemented
53	#7628649	C₂²	1	1	yes	characteristic
54	#7628649	C₂²	1	1	yes	characteristic
55	C₂×#35222	C₂²	1	1	yes	characteristic, complemented
56	#6431794	C₂²	1	1	yes	characteristic, complemented
57	#6431794	C₂²	1	1	yes	characteristic, complemented
58	C₂×#23445	C₂²	1	1	yes	characteristic
59	C₂×#23445	C₂²	1	1	yes	characteristic
60	C₂×#23445	C₂²	1	1	yes	characteristic, complemented
61	C₂×#23445	C₂²	1	1	yes	characteristic, complemented
62	C₂×#23443	C₂²	1	1	yes	characteristic
63	C₂×#23443	C₂²	1	1	yes	characteristic
64	#6431766	C₂²	1	1	yes	characteristic, complemented
65	C₂×#23407	C₂²	1	1	yes	characteristic, complemented
66	C₂×#23400	C₂²	1	1	yes	characteristic
67	C₂×#23400	C₂²	1	1	yes	characteristic
68	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
69	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
70	C₂×#23400	C₂²	1	1	yes	characteristic, complemented
71	#6431707	C₂²	1	1	yes	characteristic, complemented
72	C₂×#21017	C₂²	1	1	yes	characteristic, complemented
73	C₂×#21009	C₂²	1	1	yes	characteristic, complemented
74	#6371503	C₂²	1	1	yes	characteristic, complemented
75	#6371503	C₂²	1	1	yes	characteristic, complemented
76	C₂×#20983	C₂²	1	1	yes	characteristic, complemented
77	C₂×#20979	C₂²	1	1	yes	characteristic, complemented
78	C₂×#20964	C₂²	1	1	yes	characteristic, complemented
79	#6371465	C₂²	1	1	yes	characteristic, complemented
80	C₂×#20959	C₂²	1	1	yes	characteristic
81	C₂×#20947	C₂²	1	1	yes	characteristic, complemented
82	C₂×#20945	C₂²	1	1	yes	characteristic, complemented
83	#6371425	C₂²	1	1	yes	characteristic, complemented
84	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
85	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
86	C₂×#20623	C₂²	1	1	yes	characteristic, complemented
87	C₂×#20620	C₂²	1	1	yes	characteristic, complemented
88	C₂×#20598	C₂²	1	1	yes	characteristic, complemented
89	C₂×#20591	C₂²	1	1	yes	characteristic, complemented
90	#6370692	C₂²	1	1	yes	characteristic, complemented
91	C₂×#20584	C₂²	1	1	yes	characteristic, complemented
92	#517415	C₂²	1	1	yes	characteristic, complemented
93	C₂×#11186	C₂²	1	1	yes	characteristic, complemented
94	C₂×#11186	C₂²	1	1	yes	characteristic, complemented
95	C₂×#11178	C₂²	1	1	yes	characteristic, complemented
96	C₂×#11178	C₂²	1	1	yes	characteristic, complemented
97	C₂×#11138	C₂²	1	1	yes	characteristic, complemented
98	C₂×#11138	C₂²	1	1	yes	characteristic, complemented
99	C₂×#11132	C₂²	1	1	yes	characteristic, complemented
100	C₂×#11132	C₂²	1	1	yes	characteristic, complemented
101	C₂×#11119	C₂²	1	1	yes	characteristic, complemented
102	C₂×#11119	C₂²	1	1	yes	characteristic, complemented
103	C₂×#11102	C₂²	1	1	yes	characteristic, complemented
104	C₂×#11102	C₂²	1	1	yes	characteristic, complemented
105	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
106	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
107	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
108	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
109	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
110	C₂×#11030	C₂²	1	1	yes	characteristic, complemented
111	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
112	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
113	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
114	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
115	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
116	C₂×#11012	C₂²	1	1	yes	characteristic, complemented
117	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
118	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
119	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
120	C₂×#11000	C₂²	1	1	yes	characteristic, complemented
121	#357556	C₂²	1	1	yes	characteristic, complemented
122	#357556	C₂²	1	1	yes	characteristic, complemented
123	#357556	C₂²	1	1	yes	characteristic, complemented
124	C₂×#10994	C₂²	1	1	yes	characteristic
125	C₂×#10994	C₂²	1	1	yes	characteristic
126	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
127	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
128	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
129	C₂×#10994	C₂²	1	1	yes	characteristic, complemented
130	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
131	C₂×#10993	C₂²	1	1	yes	characteristic, complemented
132	#357531	C₂²	1	1	yes	characteristic, complemented
133	#357531	C₂²	1	1	yes	characteristic, complemented
134	#357531	C₂²	1	1	yes	characteristic, complemented
135	#357531	C₂²	1	1	yes	characteristic, complemented
136	#357493	C₂²	1	1	yes	characteristic, complemented
137	#357486	C₂²	1	1	yes	characteristic, complemented
138	#357484	C₂²	1	1	yes	characteristic, complemented
139	#357484	C₂²	1	1	yes	characteristic, complemented
140	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
141	C₂×#10987	C₂²	1	1	yes	characteristic, complemented
142	#357470	C₂²	1	1	yes	characteristic, complemented
143	C₂×#10984	C₂²	1	1	yes	characteristic, complemented
144	C₂×#10984	C₂²	1	1	yes	characteristic, complemented
145	#357454	C₂²	1	1	yes	characteristic, complemented
146	#357454	C₂²	1	1	yes	characteristic, complemented
147	#357454	C₂²	1	1	yes	characteristic, complemented
148	#357454	C₂²	1	1	yes	characteristic, complemented
149	#353454	C₂²	1	1	yes	characteristic, complemented
150	#353450	C₂²	1	1	yes	characteristic, complemented
151	#353442	C₂²	1	1	yes	characteristic, complemented
152	#353430	C₂²	1	1	yes	characteristic, complemented
153	#353422	C₂²	1	1	yes	characteristic, complemented
154	#353407	C₂²	1	1	yes	characteristic, complemented
155	#353386	C₂²	1	1	yes	characteristic, complemented
156	#353362	C₂²	1	1	yes	characteristic, complemented
157	#353324	C₂²	1	1	yes	characteristic, complemented
158	#353324	C₂²	1	1	yes	characteristic, complemented
159	#123999	C₂²	1	1	yes	characteristic, complemented
160	#123999	C₂²	1	1	yes	characteristic, complemented
161	#123983	C₂²	1	1	yes	characteristic, complemented
162	#123983	C₂²	1	1	yes	characteristic, complemented
163	#123940	C₂²	1	1	yes	characteristic, complemented
164	#123940	C₂²	1	1	yes	characteristic, complemented
165	#123896	C₂²	1	1	yes	characteristic, complemented
166	#123896	C₂²	1	1	yes	characteristic, complemented
167	#123637	C₂²	1	1	yes	characteristic, complemented
168	#123637	C₂²	1	1	yes	characteristic, complemented
169	#123627	C₂²	1	1	yes	characteristic, complemented
170	#123627	C₂²	1	1	yes	characteristic, complemented
171	#123605	C₂²	1	1	yes	characteristic, complemented
172	#123605	C₂²	1	1	yes	characteristic, complemented
173	#123600	C₂²	1	1	yes	characteristic, complemented
174	#123600	C₂²	1	1	yes	characteristic, complemented
175	#123586	C₂²	1	1	yes	characteristic, complemented
176	#123586	C₂²	1	1	yes	characteristic, complemented
177	#123582	C₂²	1	1	yes	characteristic, complemented
178	#123582	C₂²	1	1	yes	characteristic, complemented
179	#123560	C₂²	1	1	yes	characteristic, complemented
180	#123560	C₂²	1	1	yes	characteristic, complemented
181	#123547	C₂²	1	1	yes	characteristic, complemented
182	#123547	C₂²	1	1	yes	characteristic, complemented
183	#123535	C₂²	1	1	yes	characteristic, complemented
184	#123535	C₂²	1	1	yes	characteristic, complemented
185	#123531	C₂²	1	1	yes	characteristic, complemented
186	#123531	C₂²	1	1	yes	characteristic, complemented
187	C₂²×#585	C₂³	1	1	yes	characteristic
188	C₂²×#585	C₂³	1	1	yes	characteristic
189	C₂⁴×#41	C₂³	1	1	yes	characteristic
190	C₂⁵×D₄	C₂³	1	1	yes	characteristic
191	C₂³×AGL(1,ℤ/8)	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	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
195	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
196	C₂³×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
197	C₂²×#568	C₂³	1	1	yes	characteristic
198	C₂²×#568	C₂³	1	1	yes	characteristic
199	C₂×#3449	D₄	1	4	yes	complemented
200	C₂×#3449	C₂³	1	1	yes	characteristic
201	C₂×#3449	C₂³	1	1	yes	characteristic
202	C₂×#3449	C₂³	1	1	yes	characteristic
203	C₂×#3449	C₂³	1	1	yes	characteristic
204	C₂×#3449	C₂³	1	1	yes	characteristic
205	C₂×#3449	C₂³	1	1	yes	characteristic
206	C₂×#3449	C₂³	1	1	yes	characteristic
207	C₂×#3449	C₂³	1	1	yes	characteristic
208	C₂²×#535	C₂³	1	1	yes	characteristic
209	C₂²×#535	C₂³	1	1	yes	characteristic
210	C₂²×#535	C₂³	1	1	yes	characteristic
211	C₂²×#535	C₂³	1	1	yes	characteristic
212	C₂²×#535	C₂³	1	1	yes	characteristic
213	C₂²×#535	C₂³	1	1	yes	characteristic
214	C₂²×#525	D₄	1	4	yes	complemented
215	C₂²×#525	C₂³	1	1	yes	characteristic
216	C₂²×#525	C₂³	1	1	yes	characteristic
217	C₂²×#525	C₂³	1	1	yes	characteristic
218	C₂²×#525	C₂³	1	1	yes	characteristic
219	C₂×#3428	C₂³	1	1	yes	characteristic
220	C₂×#3428	C₂³	1	1	yes	characteristic
221	C₂³×#117	C₂³	1	1	yes	characteristic
222	#60511	D₄	1	8	yes	complemented
223	#60454	D₄	1	8	yes	complemented
224	#60454	D₄	1	8	yes	complemented
225	C₂×#3010	D₄	1	4	yes	complemented
226	C₂×#3010	D₄	1	4	yes	complemented
227	C₂×#3008	D₄	1	4	yes	complemented
228	C₂×#3008	D₄	1	4	yes	complemented
229	C₂×#3003	D₄	1	8	yes	complemented
230	C₂×#2911	C₂³	1	1	yes	characteristic
231	C₂×#2911	C₂³	1	1	yes	characteristic
232	C₂×#2911	C₂³	1	1	yes	characteristic
233	C₂×#2911	C₂³	1	1	yes	characteristic
234	C₂²×#421	C₂³	1	1	yes	characteristic
235	C₂²×#421	C₂³	1	1	yes	characteristic
236	C₂²×#421	C₂³	1	1	yes	characteristic
237	C₂²×#421	C₂³	1	1	yes	characteristic
238	C₂²×#421	C₂³	1	1	yes	characteristic
239	C₂²×#421	C₂³	1	1	yes	characteristic
240	C₂²×#421	C₂³	1	1	yes	characteristic
241	C₂²×#421	C₂³	1	1	yes	characteristic
242	C₂×#2896	C₂³	1	1	yes	characteristic
243	C₂×#2896	C₂³	1	1	yes	characteristic
244	C₂×#2896	C₂³	1	1	yes	characteristic
245	C₂×#2896	C₂³	1	1	yes	characteristic
246	C₂×#2896	C₂³	1	1	yes	characteristic
247	C₂×#2896	C₂³	1	1	yes	characteristic
248	C₂×#2896	C₂³	1	1	yes	characteristic
249	C₂×#2896	C₂³	1	1	yes	characteristic
250	C₂×#2896	C₂³	1	1	yes	characteristic
251	C₂×#2896	C₂³	1	1	yes	characteristic
252	C₂²×#418	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×#413	C₂³	1	1	yes	characteristic
263	C₂²×#413	C₂³	1	1	yes	characteristic
264	C₂²×#413	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×#410	C₂³	1	1	yes	characteristic
269	C₂²×#410	C₂³	1	1	yes	characteristic
270	C₂²×#410	C₂³	1	1	yes	characteristic
271	C₂²×#410	C₂³	1	1	yes	characteristic
272	C₂²×#410	C₂³	1	1	yes	characteristic
273	C₂²×#410	C₂³	1	1	yes	characteristic
274	C₂²×#410	C₂³	1	1	yes	characteristic
275	C₂²×#410	C₂³	1	1	yes	characteristic
276	C₂²×#410	C₂³	1	1	yes	characteristic
277	C₂²×#410	C₂³	1	1	yes	characteristic
278	C₂²×#410	C₂³	1	1	yes	characteristic
279	C₂²×#410	C₂³	1	1	yes	characteristic
280	C₂²×#410	C₂³	1	1	yes	characteristic
281	C₂²×#410	C₂³	1	1	yes	characteristic
282	C₂×#2879	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	C₂²×#407	C₂³	1	1	yes	characteristic
290	#35242	D₄	1	2	yes	complemented
291	#35222	D₄	1	2	yes	complemented
292	#35149	D₄	1	2	yes	complemented
293	#35149	D₄	1	2	yes	complemented
294	#35088	D₄	1	4	yes	—
295	#34980	D₄	1	4	yes	—
296	#34044	C₂³	1	1	yes	characteristic
297	#34044	C₂³	1	1	yes	characteristic
298	#34044	C₂³	1	1	yes	characteristic
299	#34044	C₂³	1	1	yes	characteristic
300	C₂×#2309	C₂³	1	1	yes	characteristic
301	C₂×#2309	C₂³	1	1	yes	characteristic
302	C₂×#2309	C₂³	1	1	yes	characteristic
303	C₂×#2309	C₂³	1	1	yes	characteristic
304	C₂×#2309	C₂³	1	1	yes	characteristic
305	C₂×#2309	C₂³	1	1	yes	characteristic
306	C₂×#2280	C₂³	1	1	yes	characteristic
307	C₂×#2280	C₂³	1	1	yes	characteristic
308	C₂×#2280	C₂³	1	1	yes	characteristic
309	C₂×#2280	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	C₂×#1742	C₂³	1	1	yes	characteristic
319	C₂×#1742	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	C₂×#1740	C₂³	1	1	yes	characteristic
330	#20347	C₂³	1	1	yes	characteristic
331	#20347	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	C₂×#1733	C₂³	1	1	yes	characteristic
345	C₂×#1733	C₂³	1	1	yes	characteristic
346	C₂×#1733	C₂³	1	1	yes	characteristic
347	C₂×#1733	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	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
355	C₂²×H(3,ℤ/4)	C₂³	1	1	yes	characteristic
356	#20335	C₂³	1	1	yes	characteristic
357	#20335	C₂³	1	1	yes	characteristic
358	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
359	C₂²×2₋¹⁺⁴	C₂×D₄	1	2	yes	—
360	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
361	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
362	C₂³×#41	C₂×D₄	1	4	yes	—
363	C₂³×#41	C₂×D₄	1	1	yes	characteristic
364	C₂³×#41	C₂×D₄	1	1	yes	characteristic
365	C₂³×#41	C₂×D₄	1	2	yes	—
366	C₂³×#41	C₂×D₄	1	2	yes	—
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	C₂³×#41	C₂⁴	1	1	yes	characteristic
371	C₂³×#41	C₂⁴	1	1	yes	characteristic
372	C₂³×#41	C₂⁴	1	1	yes	characteristic
373	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic
374	C₂⁴×D₄	C₂×D₄	1	2	yes	—
375	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
376	C₂⁴×D₄	C₂×D₄	1	4	yes	complemented
377	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
378	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
379	C₂⁵×C₄	C₂×D₄	1	2	yes	—
380	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
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	4	yes	—
386	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	—
387	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
388	C₂³×SD₁₆	C₂×D₄	1	2	yes	—
389	C₂³×D₈	C₂×D₄	1	2	yes	—
390	C₂³×D₈	C₂×D₄	1	2	yes	—
391	C₂×#568	C₂×D₄	1	4	yes	complemented
392	C₂×#568	C₂×D₄	1	4	yes	complemented
393	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
394	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
395	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
396	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
397	C₂³×M₁₆	C₂⁴	1	1	yes	characteristic
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	#3449	C₂×D₄	1	4	yes	—
402	#3449	C₂×D₄	1	4	yes	—
403	C₂×#536	C₂×D₄	1	2	yes	—
404	C₂×#536	C₂×D₄	1	2	yes	—
405	C₂×#535	C₂×D₄	1	2	yes	—
406	C₂×#535	C₂×D₄	1	4	yes	—
407	C₂×#535	C₂×D₄	1	4	yes	—
408	C₂×#535	C₂×D₄	1	2	yes	—
409	C₂×#535	C₂×D₄	1	4	yes	complemented
410	C₂×#535	C₂×D₄	1	4	yes	complemented
411	C₂×#534	C₂×D₄	1	4	yes	—
412	C₂×#534	C₂×D₄	1	4	yes	—
413	C₂×#525	C₂×D₄	1	4	yes	—
414	C₂×#525	C₂×D₄	1	2	yes	—
415	C₂×#525	C₂×D₄	1	2	yes	—
416	C₂×#525	C₂×D₄	1	2	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	C₂×D₄	1	4	yes	—
421	C₂×#525	C₂×D₄	1	2	yes	—
422	C₂×#525	C₂×D₄	1	4	yes	—
423	C₂²×#123	C₂×D₄	1	2	yes	—
424	C₂²×#120	C₂×D₄	1	2	yes	—
425	C₂²×#117	C₂×D₄	1	4	yes	—
426	C₂²×#117	C₂×D₄	1	4	yes	complemented
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	C₂²×#117	C₂⁴	1	1	yes	characteristic
437	C₂²×#117	C₂⁴	1	1	yes	characteristic
438	C₂²×#117	C₂⁴	1	1	yes	characteristic
439	C₂²×#117	C₂⁴	1	1	yes	characteristic
440	C₂²×#117	C₂⁴	1	1	yes	characteristic
441	#2911	C₂×D₄	1	4	yes	complemented
442	#2911	C₂×D₄	1	4	yes	complemented
443	#2911	C₂×D₄	1	4	yes	complemented
444	#2911	C₂×D₄	1	4	yes	complemented
445	#2896	C₂×D₄	1	4	yes	—
446	#2896	C₂×D₄	1	4	yes	—
447	#2896	C₂×D₄	1	4	yes	—
448	#2896	C₂×D₄	1	4	yes	—
449	C₂×#419	C₂×D₄	1	2	yes	—
450	C₂×#419	C₂×D₄	1	2	yes	—
451	C₂×#418	C₂×D₄	1	2	yes	—
452	C₂×#418	C₂×D₄	1	2	yes	—
453	C₂×#418	C₂×D₄	1	4	yes	complemented
454	C₂×#418	C₂×D₄	1	4	yes	complemented
455	C₂×#418	C₂×D₄	1	4	yes	complemented
456	C₂×#418	C₂×D₄	1	4	yes	complemented
457	C₂×#416	C₂×D₄	1	4	yes	—
458	C₂×#416	C₂×D₄	1	4	yes	—
459	C₂×#408	C₂×D₄	1	4	yes	—
460	C₂×#408	C₂×D₄	1	4	yes	—
461	C₂×#407	C₂×D₄	1	4	yes	complemented
462	C₂×#407	C₂×D₄	1	4	yes	complemented
463	#2310	C₂×D₄	1	2	yes	—
464	#2310	C₂×D₄	1	2	yes	—
465	#2309	C₂×D₄	1	2	yes	—
466	#2309	C₂×D₄	1	2	yes	—
467	#2308	C₂×D₄	1	4	yes	—
468	#2308	C₂×D₄	1	4	yes	—
469	#2280	C₂×D₄	1	2	yes	—
470	#2280	C₂×D₄	1	2	yes	—
471	C₂×#381	C₂×D₄	1	2	yes	—
472	C₂×#379	C₂×D₄	1	2	yes	—
473	C₂⁶	#120	1	2	yes	—
474	C₂⁶	C₂²×D₄	1	1	yes	characteristic
475	C₂²×#41	#120	1	4	yes	complemented
476	C₂²×#41	#120	1	4	yes	complemented
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	C₂²×D₄	1	2	yes	—
481	C₂²×#41	C₂²×D₄	1	2	yes	—
482	C₂²×#41	C₂²×D₄	1	2	yes	—
483	C₂²×#41	C₂²×D₄	1	2	yes	—
484	C₂²×#41	C₂²×D₄	1	2	yes	—
485	C₂²×#41	C₂²×D₄	1	2	yes	—
486	C₂²×#41	C₂²×D₄	1	2	yes	—
487	C₂²×#41	C₂²×D₄	1	2	yes	—
488	C₂²×#41	C₂²×D₄	1	2	yes	—
489	C₂²×#41	C₂²×D₄	1	2	yes	—
490	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
491	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
492	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
493	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
494	C₂²×#41	H(5,𝔽₂)	1	2	yes	—
495	C₂³×Q₈	#120	1	2	yes	—
496	C₂³×Q₈	#120	1	4	yes	complemented
497	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
498	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
499	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
500	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
501	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
502	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
503	C₂³×D₄	#120	1	2	yes	—
504	C₂³×D₄	#120	1	2	yes	—
505	C₂³×D₄	#120	1	2	yes	—
506	C₂³×D₄	#120	1	4	yes	complemented
507	C₂³×D₄	C₂²×D₄	1	2	yes	—
508	C₂³×D₄	C₂²×D₄	1	2	yes	—
509	C₂³×D₄	C₂²×D₄	1	2	yes	—
510	C₂³×D₄	C₂²×D₄	1	2	yes	—
511	C₂³×D₄	C₂²×D₄	1	2	yes	—
512	C₂³×D₄	C₂²×D₄	1	2	yes	—
513	C₂³×D₄	C₂²×D₄	1	2	yes	—
514	C₂³×D₄	C₂²×D₄	1	2	yes	—
515	C₂³×D₄	C₂²×D₄	1	2	yes	—
516	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
517	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
518	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
519	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
520	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
521	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
522	C₂⁴×C₄	#120	1	2	yes	—
523	C₂⁴×C₄	#120	1	2	yes	—
524	C₂⁴×C₄	#120	1	2	yes	—
525	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
526	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
527	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
528	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
529	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
530	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
531	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
532	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
533	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
534	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
535	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
536	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
537	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
538	C₂×AGL(1,ℤ/8)	#120	1	16	yes	complemented
539	C₂²×SD₁₆	#120	1	8	yes	complemented
540	C₂²×D₈	#120	1	8	yes	complemented
541	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
542	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
543	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
544	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
545	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
546	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
547	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
548	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
549	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
550	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
551	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
552	C₂²×M₁₆	H(5,𝔽₂)	1	2	yes	—
553	C₂³×C₈	C₂²×D₄	1	2	yes	—
554	C₂³×C₈	C₂²×D₄	1	2	yes	—
555	#525	#120	1	8	yes	—
556	#525	#120	1	8	yes	—
557	#525	#120	1	16	yes	complemented
558	C₂×#117	C₂²×D₄	1	2	yes	—
559	C₂×#117	C₂²×D₄	1	2	yes	—
560	C₂×#117	C₂²×D₄	1	2	yes	—
561	C₂×#117	C₂²×D₄	1	2	yes	—
562	C₂×#117	C₂²×D₄	1	2	yes	—
563	C₂×#117	C₂²×D₄	1	2	yes	—
564	C₂×#117	C₂²×D₄	1	2	yes	—
565	C₂×#117	C₂²×D₄	1	2	yes	—
566	C₂×#117	C₂²×D₄	1	2	yes	—
567	C₂×#117	C₂²×D₄	1	2	yes	—
568	C₂×#117	C₂²×D₄	1	2	yes	—
569	C₂×#117	C₂²×D₄	1	2	yes	—
570	C₂×#117	C₂²×D₄	1	2	yes	—
571	C₂×#117	C₂²×D₄	1	2	yes	—
572	C₂×#117	C₂²×D₄	1	2	yes	—
573	C₂×#117	H(5,𝔽₂)	1	2	yes	—
574	C₂×#117	H(5,𝔽₂)	1	2	yes	—
575	C₂×#117	H(5,𝔽₂)	1	2	yes	—
576	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
577	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	2	yes	—
578	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
579	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
580	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
581	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
582	#419	#120	1	8	yes	complemented
583	#418	#120	1	8	yes	complemented
584	#416	#120	1	16	yes	complemented
585	C₂⁵	C₂×#120	1	1	yes	characteristic
586	C₂⁵	C₂×#120	1	2	yes	—
587	C₂⁵	C₂×#120	1	1	yes	characteristic
588	C₂⁵	C₂×#120	1	2	yes	—
589	C₂⁵	#534	1	2	yes	—
590	C₂⁵	D₄²	1	2	yes	—
591	C₂⁵	D₄²	1	2	yes	—
592	C₂⁵	C₂³×D₄	1	1	yes	characteristic
593	C₂×#41	C₂×#120	1	4	yes	—
594	C₂×#41	C₂×#120	1	4	yes	—
595	C₂×#41	C₂×#120	1	4	yes	—
596	C₂×#41	C₂×#120	1	4	yes	—
597	C₂²×Q₈	C₂×#120	1	2	yes	—
598	C₂²×Q₈	C₂×#120	1	2	yes	—
599	C₂²×Q₈	C₂×#120	1	2	yes	—
600	C₂²×Q₈	C₂×#120	1	2	yes	—
601	C₂²×Q₈	#534	1	2	yes	—
602	C₂²×Q₈	D₄²	1	2	yes	—
603	C₂²×Q₈	D₄²	1	2	yes	—
604	C₂²×Q₈	D₄²	1	2	yes	—
605	C₂²×Q₈	D₄²	1	2	yes	—
606	C₂²×D₄	C₂×#120	1	2	yes	—
607	C₂²×D₄	C₂×#120	1	4	yes	—
608	C₂²×D₄	C₂×#120	1	4	yes	—
609	C₂²×D₄	C₂×#120	1	2	yes	—
610	C₂²×D₄	C₂×#120	1	2	yes	—
611	C₂²×D₄	C₂×#120	1	2	yes	—
612	C₂²×D₄	#534	1	2	yes	—
613	C₂²×D₄	D₄²	1	4	yes	—
614	C₂²×D₄	D₄²	1	4	yes	—
615	C₂²×D₄	D₄²	1	4	yes	—
616	C₂²×D₄	D₄²	1	4	yes	—
617	C₂²×D₄	D₄²	1	2	yes	—
618	C₂²×D₄	D₄²	1	2	yes	—
619	C₂²×D₄	D₄²	1	2	yes	—
620	C₂²×D₄	D₄²	1	2	yes	—
621	C₂³×C₄	C₂×#120	1	2	yes	—
622	C₂³×C₄	C₂×#120	1	2	yes	—
623	C₂³×C₄	C₂×#120	1	1	yes	characteristic
624	C₂³×C₄	C₂×#120	1	1	yes	characteristic
625	C₂³×C₄	C₂×#120	1	2	yes	—
626	C₂³×C₄	C₂×#120	1	4	yes	—
627	C₂³×C₄	C₂×#120	1	2	yes	—
628	C₂³×C₄	C₂×#120	1	4	yes	—
629	C₂³×C₄	#534	1	2	yes	—
630	C₂³×C₄	#534	1	2	yes	—
631	C₂³×C₄	#534	1	4	yes	—
632	C₂³×C₄	#534	1	2	yes	—
633	C₂³×C₄	#534	1	4	yes	—
634	C₂³×C₄	#534	1	4	yes	—
635	C₂³×C₄	D₄²	1	2	yes	—
636	C₂³×C₄	D₄²	1	2	yes	—
637	C₂³×C₄	D₄²	1	2	yes	—
638	C₂³×C₄	D₄²	1	2	yes	—
639	C₂³×C₄	D₄²	1	2	yes	—
640	C₂³×C₄	D₄²	1	2	yes	—
641	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
642	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
643	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
644	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
645	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
646	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
647	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
648	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
649	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
650	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
651	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
652	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
653	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
654	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
655	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
656	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
657	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
658	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
659	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
660	C₂³×C₄	C₂×H(5,𝔽₂)	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	#585	1	1	yes	characteristic
668	C₂³×C₄	#585	1	1	yes	characteristic
669	C₂³×C₄	#585	1	1	yes	characteristic
670	C₂³×C₄	#585	1	1	yes	characteristic
671	C₂×M₁₆	C₂×#120	1	4	yes	—
672	C₂×M₁₆	C₂×#120	1	4	yes	—
673	C₂²×C₈	C₂×#120	1	4	yes	—
674	C₂²×C₈	C₂×#120	1	4	yes	—
675	#117	C₂×#120	1	4	yes	—
676	#117	C₂×#120	1	4	yes	—
677	#117	C₂×#120	1	4	yes	—
678	#117	C₂×#120	1	4	yes	—
679	C₂×C₄⋊C₄	#534	1	4	yes	—
680	C₂⁴	#2403	1	4	yes	—
681	C₂⁴	#2403	1	2	yes	—
682	C₂⁴	#2403	1	2	yes	—
683	C₂⁴	#2403	1	4	yes	—
684	C₂⁴	C₂²×#120	1	1	yes	characteristic
685	C₂⁴	C₂×#534	1	1	yes	characteristic
686	C₂⁴	C₂×#534	1	1	yes	characteristic
687	C₂⁴	C₂×D₄²	1	1	yes	characteristic
688	C₂⁴	C₂×D₄²	1	1	yes	characteristic
689	C₂⁴	C₂×D₄²	1	1	yes	characteristic
690	C₂⁴	C₂×D₄²	1	1	yes	characteristic
691	C₂⁴	C₂×D₄²	1	1	yes	characteristic
692	C₂⁴	C₂×D₄²	1	1	yes	characteristic
693	C₂⁴	#3484	1	1	yes	characteristic
694	C₂⁴	#3484	1	1	yes	characteristic
695	C₂⁴	#3484	1	1	yes	characteristic
696	C₂⁴	#3485	1	1	yes	characteristic
697	C₂⁴	#3496	1	1	yes	characteristic
698	C₂⁴	#3496	1	1	yes	characteristic
699	C₂×Q₈	#2846	1	4	yes	—
700	C₂×D₄	#2846	1	4	yes	—
701	C₂²×C₄	#2403	1	2	yes	—
702	C₂²×C₄	#2403	1	4	yes	—
703	C₂²×C₄	#2403	1	4	yes	—
704	C₂²×C₄	#2403	1	2	yes	—
705	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
706	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
707	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
708	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
709	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
710	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
711	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
712	C₂²×C₄	C₂×#534	1	1	yes	characteristic
713	C₂²×C₄	C₂×#534	1	1	yes	characteristic
714	C₂²×C₄	C₂×#534	1	1	yes	characteristic
715	C₂²×C₄	C₂×#534	1	1	yes	characteristic
716	C₂²×C₄	C₂×#534	1	1	yes	characteristic
717	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
718	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
719	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
720	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
721	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
722	C₂²×C₄	C₂×D₄²	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	#3484	1	1	yes	characteristic
760	C₂²×C₄	#3485	1	1	yes	characteristic
761	C₂²×C₄	#3485	1	1	yes	characteristic
762	C₂²×C₄	#3485	1	1	yes	characteristic
763	C₂²×C₄	#3488	1	1	yes	characteristic
764	C₂²×C₄	#3488	1	1	yes	characteristic
765	C₂²×C₄	#3488	1	1	yes	characteristic
766	C₂²×C₄	#3488	1	1	yes	characteristic
767	C₂²×C₄	#3488	1	1	yes	characteristic
768	C₂²×C₄	#3488	1	1	yes	characteristic
769	C₂²×C₄	#3488	1	1	yes	characteristic
770	C₂²×C₄	#3488	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	#3496	1	1	yes	characteristic
775	C₂²×C₄	#3496	1	1	yes	characteristic
776	C₂²×C₄	#3496	1	1	yes	characteristic
777	C₂²×C₄	#3496	1	1	yes	characteristic
778	C₂²×C₄	#3496	1	1	yes	characteristic
779	C₂²×C₄	#3496	1	1	yes	characteristic
780	C₂²×C₄	#3496	1	1	yes	characteristic
781	C₂²×C₄	#3496	1	1	yes	characteristic
782	C₂²×C₄	#3496	1	1	yes	characteristic
783	C₂²×C₄	#3496	1	1	yes	characteristic
784	C₂²×C₄	#3496	1	1	yes	characteristic
785	C₂²×C₄	#3496	1	1	yes	characteristic
786	C₂²×C₄	#3496	1	1	yes	characteristic
787	C₂²×C₄	#3496	1	1	yes	characteristic
788	C₂²×C₄	#3496	1	1	yes	characteristic
789	C₂²×C₄	#3498	1	1	yes	characteristic
790	C₂²×C₄	#3498	1	1	yes	characteristic
791	C₂²×C₄	#3498	1	1	yes	characteristic
792	C₂²×C₄	#3498	1	1	yes	characteristic
793	C₂²×C₄	#3498	1	1	yes	characteristic
794	C₂²×C₄	#3498	1	1	yes	characteristic
795	C₂²×C₄	#3498	1	1	yes	characteristic
796	C₂²×C₄	#3498	1	1	yes	characteristic
797	C₂²×C₄	#3532	1	1	yes	characteristic
798	C₂²×C₄	#3532	1	1	yes	characteristic
799	C₂²×C₄	#3532	1	1	yes	characteristic
800	C₂²×C₄	#3532	1	1	yes	characteristic
801	C₂²×C₄	#3532	1	1	yes	characteristic
802	C₂²×C₄	#3532	1	1	yes	characteristic
803	C₂²×C₄	#3532	1	1	yes	characteristic
804	C₂²×C₄	#3532	1	1	yes	characteristic
805	C₂²×C₄	#3532	1	1	yes	characteristic
806	C₂²×C₄	#3532	1	1	yes	characteristic
807	C₂²×C₄	#3532	1	1	yes	characteristic
808	C₂²×C₄	#3532	1	1	yes	characteristic
809	C₂²×C₄	#3534	1	1	yes	characteristic
810	C₂²×C₄	#3534	1	1	yes	characteristic
811	C₂²×C₄	#3534	1	1	yes	characteristic
812	C₂²×C₄	#3534	1	1	yes	characteristic
813	C₂²×C₄	#3534	1	1	yes	characteristic
814	C₂²×C₄	#3534	1	1	yes	characteristic
815	C₂²×C₄	#3534	1	1	yes	characteristic
816	C₂²×C₄	#3534	1	1	yes	characteristic
817	C₂²×C₄	#3534	1	1	yes	characteristic
818	C₂²×C₄	#3534	1	1	yes	characteristic
819	C₂²×C₄	#3534	1	1	yes	characteristic
820	C₂²×C₄	#3534	1	1	yes	characteristic
821	C₂²×C₄	#3537	1	1	yes	characteristic
822	C₂²×C₄	#3537	1	1	yes	characteristic
823	C₂²×C₄	#3537	1	1	yes	characteristic
824	C₂²×C₄	#3537	1	1	yes	characteristic
825	C₂²×C₄	#3537	1	1	yes	characteristic
826	C₂²×C₄	#3537	1	1	yes	characteristic
827	C₂²×C₄	#3537	1	1	yes	characteristic
828	C₂²×C₄	#3537	1	1	yes	characteristic
829	C₂²×C₄	#3542	1	1	yes	characteristic
830	C₂²×C₄	#3542	1	1	yes	characteristic
831	C₂²×C₄	#3542	1	1	yes	characteristic
832	C₂²×C₄	#3542	1	1	yes	characteristic
833	C₂²×C₄	#3543	1	1	yes	characteristic
834	C₂²×C₄	#3543	1	1	yes	characteristic
835	C₂²×C₄	#3543	1	1	yes	characteristic
836	C₂²×C₄	#3543	1	1	yes	characteristic
837	C₂²×C₄	#3543	1	1	yes	characteristic
838	C₂²×C₄	#3543	1	1	yes	characteristic
839	C₂²×C₄	#3545	1	1	yes	characteristic
840	C₂²×C₄	#3545	1	1	yes	characteristic
841	C₂²×C₄	#3558	1	1	yes	characteristic
842	C₂²×C₄	#3558	1	1	yes	characteristic
843	C₂²×C₄	#3558	1	1	yes	characteristic
844	C₂²×C₄	#3558	1	1	yes	characteristic
845	C₂³	C₂×#2403	1	1	yes	characteristic
846	C₂³	C₂×#2403	1	1	yes	characteristic
847	C₂³	C₂×#2403	1	1	yes	characteristic
848	C₂³	#34980	1	1	yes	characteristic
849	C₂³	#34980	1	1	yes	characteristic
850	C₂³	#35347	1	1	yes	characteristic
851	C₂³	#35347	1	1	yes	characteristic
852	C₂³	D₄×#120	1	1	yes	characteristic
853	C₂³	D₄×#120	1	1	yes	characteristic
854	C₂³	D₄×#120	1	1	yes	characteristic
855	C₂³	D₄×#120	1	1	yes	characteristic
856	C₂³	#37644	1	1	yes	characteristic
857	C₂³	#37644	1	1	yes	characteristic
858	C₂³	#37644	1	1	yes	characteristic
859	C₂³	#37644	1	1	yes	characteristic
860	C₂³	#37644	1	1	yes	characteristic
861	C₂³	#37646	1	1	yes	characteristic
862	C₂³	#37672	1	1	yes	characteristic
863	C₂³	#37672	1	1	yes	characteristic
864	C₂³	#39336	1	1	yes	characteristic
865	C₂³	#39338	1	1	yes	characteristic
866	C₂³	#39358	1	1	yes	characteristic
867	C₂³	#39358	1	1	yes	characteristic
868	C₂³	#42996	1	1	yes	characteristic
869	C₂³	#42996	1	1	yes	characteristic
870	C₂³	#42996	1	1	yes	characteristic
871	C₂³	#42996	1	1	yes	characteristic
872	C₂³	#43001	1	1	yes	characteristic
873	C₂³	#43001	1	1	yes	characteristic
874	C₂³	#43017	1	1	yes	characteristic
875	C₂³	#43017	1	1	yes	characteristic
876	C₂³	#43023	1	1	yes	characteristic
877	C₂³	#43023	1	1	yes	characteristic
878	C₂³	#43886	1	1	yes	characteristic
879	C₂³	#43886	1	1	yes	characteristic
880	C₂×C₄	#34980	1	1	yes	characteristic
881	C₂×C₄	#34980	1	1	yes	characteristic
882	C₂×C₄	#34980	1	1	yes	characteristic
883	C₂×C₄	#35346	1	1	yes	characteristic
884	C₂×C₄	#35346	1	1	yes	characteristic
885	C₂×C₄	#35346	1	1	yes	characteristic
886	C₂×C₄	#35346	1	1	yes	characteristic
887	C₂×C₄	#35347	1	1	yes	characteristic
888	C₂×C₄	#35347	1	1	yes	characteristic
889	C₂×C₄	#35347	1	1	yes	characteristic
890	C₂×C₄	#35347	1	1	yes	characteristic
891	C₂×C₄	#35512	1	1	yes	characteristic
892	C₂×C₄	#35512	1	1	yes	characteristic
893	C₂×C₄	#35527	1	1	yes	characteristic
894	C₂×C₄	#35527	1	1	yes	characteristic
895	C₂×C₄	#35680	1	1	yes	characteristic
896	C₂×C₄	#35680	1	1	yes	characteristic
897	C₂×C₄	#35680	1	1	yes	characteristic
898	C₂×C₄	#35680	1	1	yes	characteristic
899	C₂×C₄	#35680	1	1	yes	characteristic
900	C₂×C₄	#35680	1	1	yes	characteristic
901	C₂×C₄	#35680	1	1	yes	characteristic
902	C₂×C₄	#35680	1	1	yes	characteristic
903	C₂×C₄	#35680	1	1	yes	characteristic
904	C₂×C₄	#35680	1	1	yes	characteristic
905	C₂×C₄	#35680	1	1	yes	characteristic
906	C₂×C₄	#35680	1	1	yes	characteristic
907	C₂×C₄	#35680	1	1	yes	characteristic
908	C₂×C₄	#35680	1	1	yes	characteristic
909	C₂×C₄	#35680	1	1	yes	characteristic
910	C₂×C₄	#35680	1	1	yes	characteristic
911	C₂×C₄	D₄×#120	1	1	yes	characteristic
912	C₂×C₄	D₄×#120	1	1	yes	characteristic
913	C₂×C₄	D₄×#120	1	1	yes	characteristic
914	C₂×C₄	D₄×#120	1	1	yes	characteristic
915	C₂×C₄	C₂×#2846	1	1	yes	characteristic
916	C₂×C₄	#36714	1	1	yes	characteristic
917	C₂×C₄	#36714	1	1	yes	characteristic
918	C₂×C₄	#37129	1	1	yes	characteristic
919	C₂×C₄	#37129	1	1	yes	characteristic
920	C₂×C₄	#37644	1	1	yes	characteristic
921	C₂×C₄	#37644	1	1	yes	characteristic
922	C₂×C₄	#37644	1	1	yes	characteristic
923	C₂×C₄	#37644	1	1	yes	characteristic
924	C₂×C₄	#37644	1	1	yes	characteristic
925	C₂×C₄	#37646	1	1	yes	characteristic
926	C₂×C₄	#37672	1	1	yes	characteristic
927	C₂×C₄	#37672	1	1	yes	characteristic
928	C₂×C₄	#39336	1	1	yes	characteristic
929	C₂×C₄	#39338	1	1	yes	characteristic
930	C₂×C₄	#39358	1	1	yes	characteristic
931	C₂×C₄	#39358	1	1	yes	characteristic
932	C₂×C₄	#40484	1	1	yes	characteristic
933	C₂×C₄	#40484	1	1	yes	characteristic
934	C₂×C₄	#40484	1	1	yes	characteristic
935	C₂×C₄	#40484	1	1	yes	characteristic
936	C₂×C₄	#40486	1	1	yes	characteristic
937	C₂×C₄	#40486	1	1	yes	characteristic
938	C₂×C₄	#40486	1	1	yes	characteristic
939	C₂×C₄	#40486	1	1	yes	characteristic
940	C₂×C₄	#42996	1	1	yes	characteristic
941	C₂×C₄	#42996	1	1	yes	characteristic
942	C₂×C₄	#42996	1	1	yes	characteristic
943	C₂×C₄	#42996	1	1	yes	characteristic
944	C₂×C₄	#43001	1	1	yes	characteristic
945	C₂×C₄	#43001	1	1	yes	characteristic
946	C₂×C₄	#43017	1	1	yes	characteristic
947	C₂×C₄	#43017	1	1	yes	characteristic
948	C₂×C₄	#43023	1	1	yes	characteristic
949	C₂×C₄	#43023	1	1	yes	characteristic
950	C₂×C₄	#43886	1	1	yes	characteristic
951	C₂×C₄	#43886	1	1	yes	characteristic
952	C₂×C₄	#46350	1	1	yes	characteristic
953	C₂×C₄	#46350	1	1	yes	characteristic
954	C₂×C₄	#46350	1	1	yes	characteristic
955	C₂×C₄	#46350	1	1	yes	characteristic
956	C₂×C₄	#46350	1	1	yes	characteristic
957	C₂×C₄	#46350	1	1	yes	characteristic
958	C₂×C₄	#46350	1	1	yes	characteristic
959	C₂×C₄	#46350	1	1	yes	characteristic
960	C₂×C₄	#46351	1	1	yes	characteristic
961	C₂×C₄	#46351	1	1	yes	characteristic
962	C₂×C₄	#46351	1	1	yes	characteristic
963	C₂×C₄	#46351	1	1	yes	characteristic
964	C₂×C₄	#46355	1	1	yes	characteristic
965	C₂×C₄	#46355	1	1	yes	characteristic
966	C₂×C₄	#46355	1	1	yes	characteristic
967	C₂×C₄	#46355	1	1	yes	characteristic
968	C₂×C₄	#46364	1	1	yes	characteristic
969	C₂×C₄	#46364	1	1	yes	characteristic
970	C₂×C₄	#46364	1	1	yes	characteristic
971	C₂×C₄	#46364	1	1	yes	characteristic
972	C₂×C₄	#46830	1	1	yes	characteristic
973	C₂×C₄	#46830	1	1	yes	characteristic
974	C₂×C₄	#46830	1	1	yes	characteristic
975	C₂×C₄	#46830	1	1	yes	characteristic
976	C₂×C₄	#47826	1	1	yes	characteristic
977	C₂×C₄	#47826	1	1	yes	characteristic
978	C₂×C₄	#47826	1	1	yes	characteristic
979	C₂×C₄	#47826	1	1	yes	characteristic
980	C₂×C₄	#47827	1	1	yes	characteristic
981	C₂×C₄	#47827	1	1	yes	characteristic
982	C₂×C₄	#47827	1	1	yes	characteristic
983	C₂×C₄	#47827	1	1	yes	characteristic
984	C₂×C₄	#47827	1	1	yes	characteristic
985	C₂×C₄	#47827	1	1	yes	characteristic
986	C₂×C₄	#47830	1	1	yes	characteristic
987	C₂×C₄	#47830	1	1	yes	characteristic
988	C₂×C₄	#47830	1	1	yes	characteristic
989	C₂×C₄	#47830	1	1	yes	characteristic
990	C₂×C₄	#47848	1	1	yes	characteristic
991	C₂×C₄	#47848	1	1	yes	characteristic
992	C₂×C₄	#47853	1	1	yes	characteristic
993	C₂×C₄	#47853	1	1	yes	characteristic
994	C₂×C₄	#47853	1	1	yes	characteristic
995	C₂×C₄	#47853	1	1	yes	characteristic
996	C₂×C₄	#50646	1	1	yes	characteristic
997	C₂×C₄	#50646	1	1	yes	characteristic
998	C₂×C₄	#50856	1	1	yes	characteristic
999	C₂×C₄	#50856	1	1	yes	characteristic
1000	C₂²	#612424	1	1	yes	characteristic
1001	C₂²	#616960	1	1	yes	characteristic
1002	C₂²	#686200	1	1	yes	characteristic
1003	C₂²	#686200	1	1	yes	characteristic
1004	C₂²	#687584	1	1	yes	characteristic
1005	C₂²	#687584	1	1	yes	characteristic
1006	C₂²	#763332	1	1	yes	characteristic
1007	C₂²	#1082705	1	1	yes	characteristic
1008	C₂²	#1082705	1	1	yes	characteristic
1009	C₂²	#1082707	1	1	yes	characteristic
1010	C₂²	#1082707	1	1	yes	characteristic
1011	C₂²	#1082737	1	1	yes	characteristic
1012	C₂²	#1082737	1	1	yes	characteristic
1013	C₂²	#1082739	1	1	yes	characteristic
1014	C₂²	#1082739	1	1	yes	characteristic
1015	C₄	#1082705	1	1	yes	characteristic
1016	C₄	#1082705	1	1	yes	characteristic
1017	C₄	#1082707	1	1	yes	characteristic
1018	C₄	#1082707	1	1	yes	characteristic
1019	C₄	#1082737	1	1	yes	characteristic
1020	C₄	#1082737	1	1	yes	characteristic
1021	C₄	#1082739	1	1	yes	characteristic
1022	C₄	#1082739	1	1	yes	characteristic
1023	C₄	#4312014	1	1	yes	characteristic
1024	C₄	#4312014	1	1	yes	characteristic
1025	C₄	#4312851	1	1	yes	characteristic
1026	C₄	#4312851	1	1	yes	characteristic
1027	C₄	#4379716	1	1	yes	characteristic
1028	C₄	#4379716	1	1	yes	characteristic
1029	C₄	#4928938	1	1	yes	characteristic
1030	C₄	#4928938	1	1	yes	characteristic
1031	C₂	#72240449	1	2	yes	—
1032	C₂	#72250307	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#616960
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. #72256355	C₂	semidirect
2. #72256351	C₂	semidirect
3. #72256327	C₂	semidirect
4. #72256279	C₂	semidirect
5. #72256165	C₂	semidirect
6. #72256115	C₂	semidirect
7. #72256046	C₂	semidirect
8. #72255979	C₂	semidirect
9. #72255979	C₂	semidirect
10. #72255923	C₂	semidirect
11. #72255831	C₂	semidirect
12. #72255732	C₂	semidirect
13. #72255660	C₂	semidirect
14. #72252195	C₂	semidirect
15. C₂×#449600	C₂	semidirect
16. #72251318	C₂	semidirect
17. #72251296	C₂	semidirect
18. #72251201	C₂	semidirect
19. C₂×#417620	C₂	semidirect
20. #72251060	C₂	semidirect
21. #72250089	C₂	semidirect
22. #72249921	C₂	semidirect
23. #72238106	C₂	semidirect
24. #72237699	C₂	semidirect
25. #72237699	C₂	semidirect
26. C₂×#417618	C₂	semidirect
27. #72237672	C₂	semidirect
28. #72237193	C₂	semidirect
29. #72236737	C₂	semidirect
30. C₂×#449496	C₂	semidirect
31. C₂×#10575442	C₂	semidirect
32. #10586020	C₂²	semidirect
34. C₂³×#535	C₂²	semidirect
35. C₂×#60518	C₂²	semidirect
36. C₂×#60518	C₂²	semidirect
38. C₂×#60511	C₂²	semidirect
41. C₂×#60454	C₂²	semidirect
42. C₂×#60454	C₂²	semidirect
43. C₂×#60398	C₂²	semidirect
47. C₂×#60369	C₂²	semidirect
48. C₂²×#3021	C₂²	semidirect
50. C₂²×#3003	C₂²	semidirect
51. C₂²×#3003	C₂²	semidirect
52. C₂×#60064	C₂²	semidirect
55. C₂×#35222	C₂²	semidirect
56. #6431794	C₂²	semidirect
57. #6431794	C₂²	semidirect
60. C₂×#23445	C₂²	semidirect
61. C₂×#23445	C₂²	semidirect
64. #6431766	C₂²	semidirect
65. C₂×#23407	C₂²	semidirect
68. C₂×#23400	C₂²	semidirect
69. C₂×#23400	C₂²	semidirect
70. C₂×#23400	C₂²	semidirect
71. #6431707	C₂²	semidirect
72. C₂×#21017	C₂²	semidirect
73. C₂×#21009	C₂²	semidirect
74. #6371503	C₂²	semidirect
75. #6371503	C₂²	semidirect
76. C₂×#20983	C₂²	semidirect
77. C₂×#20979	C₂²	semidirect
78. C₂×#20964	C₂²	semidirect
79. #6371465	C₂²	semidirect
81. C₂×#20947	C₂²	semidirect
82. C₂×#20945	C₂²	semidirect
83. #6371425	C₂²	semidirect
84. C₂×#20623	C₂²	semidirect
85. C₂×#20623	C₂²	semidirect
86. C₂×#20623	C₂²	semidirect
87. C₂×#20620	C₂²	semidirect
88. C₂×#20598	C₂²	semidirect
89. C₂×#20591	C₂²	semidirect
90. #6370692	C₂²	semidirect
91. C₂×#20584	C₂²	semidirect
92. #517415	C₂²	semidirect
93. C₂×#11186	C₂²	semidirect
94. C₂×#11186	C₂²	semidirect
95. C₂×#11178	C₂²	semidirect
96. C₂×#11178	C₂²	semidirect
97. C₂×#11138	C₂²	semidirect
98. C₂×#11138	C₂²	semidirect
99. C₂×#11132	C₂²	semidirect
100. C₂×#11132	C₂²	semidirect
101. C₂×#11119	C₂²	semidirect
102. C₂×#11119	C₂²	semidirect
103. C₂×#11102	C₂²	semidirect
104. C₂×#11102	C₂²	semidirect
105. C₂×#11030	C₂²	semidirect
106. C₂×#11030	C₂²	semidirect
107. C₂×#11030	C₂²	semidirect
108. C₂×#11030	C₂²	semidirect
109. C₂×#11030	C₂²	semidirect
110. C₂×#11030	C₂²	semidirect
111. C₂×#11012	C₂²	semidirect
112. C₂×#11012	C₂²	semidirect
113. C₂×#11012	C₂²	semidirect
114. C₂×#11012	C₂²	semidirect
115. C₂×#11012	C₂²	semidirect
116. C₂×#11012	C₂²	semidirect
117. C₂×#11000	C₂²	semidirect
118. C₂×#11000	C₂²	semidirect
119. C₂×#11000	C₂²	semidirect
120. C₂×#11000	C₂²	semidirect
121. #357556	C₂²	semidirect
122. #357556	C₂²	semidirect
123. #357556	C₂²	semidirect
126. C₂×#10994	C₂²	semidirect
127. C₂×#10994	C₂²	semidirect
128. C₂×#10994	C₂²	semidirect
129. C₂×#10994	C₂²	semidirect
130. C₂×#10993	C₂²	semidirect
131. C₂×#10993	C₂²	semidirect
132. #357531	C₂²	semidirect
133. #357531	C₂²	semidirect
134. #357531	C₂²	semidirect
135. #357531	C₂²	semidirect
136. #357493	C₂²	semidirect
137. #357486	C₂²	semidirect
138. #357484	C₂²	semidirect
139. #357484	C₂²	semidirect
140. C₂×#10987	C₂²	semidirect
141. C₂×#10987	C₂²	semidirect
142. #357470	C₂²	semidirect
143. C₂×#10984	C₂²	semidirect
144. C₂×#10984	C₂²	semidirect
145. #357454	C₂²	semidirect
146. #357454	C₂²	semidirect
147. #357454	C₂²	semidirect
148. #357454	C₂²	semidirect
149. #353454	C₂²	semidirect
150. #353450	C₂²	semidirect
151. #353442	C₂²	semidirect
152. #353430	C₂²	semidirect
153. #353422	C₂²	semidirect
154. #353407	C₂²	semidirect
155. #353386	C₂²	semidirect
156. #353362	C₂²	semidirect
157. #353324	C₂²	semidirect
158. #353324	C₂²	semidirect
159. #123999	C₂²	semidirect
160. #123999	C₂²	semidirect
161. #123983	C₂²	semidirect
162. #123983	C₂²	semidirect
163. #123940	C₂²	semidirect
164. #123940	C₂²	semidirect
165. #123896	C₂²	semidirect
166. #123896	C₂²	semidirect
167. #123637	C₂²	semidirect
168. #123637	C₂²	semidirect
169. #123627	C₂²	semidirect
170. #123627	C₂²	semidirect
171. #123605	C₂²	semidirect
172. #123605	C₂²	semidirect
173. #123600	C₂²	semidirect
174. #123600	C₂²	semidirect
175. #123586	C₂²	semidirect
176. #123586	C₂²	semidirect
177. #123582	C₂²	semidirect
178. #123582	C₂²	semidirect
179. #123560	C₂²	semidirect
180. #123560	C₂²	semidirect
181. #123547	C₂²	semidirect
182. #123547	C₂²	semidirect
183. #123535	C₂²	semidirect
184. #123535	C₂²	semidirect
185. #123531	C₂²	semidirect
186. #123531	C₂²	semidirect
199. C₂×#3449	D₄	semidirect
214. C₂²×#525	D₄	semidirect
222. #60511	D₄	semidirect
223. #60454	D₄	semidirect
224. #60454	D₄	semidirect
225. C₂×#3010	D₄	semidirect
226. C₂×#3010	D₄	semidirect
227. C₂×#3008	D₄	semidirect
228. C₂×#3008	D₄	semidirect
229. C₂×#3003	D₄	semidirect
290. #35242	D₄	semidirect
291. #35222	D₄	semidirect
292. #35149	D₄	semidirect
293. #35149	D₄	semidirect
376. C₂⁴×D₄	C₂×D₄	semidirect
391. C₂×#568	C₂×D₄	semidirect
392. C₂×#568	C₂×D₄	semidirect
409. C₂×#535	C₂×D₄	semidirect
410. C₂×#535	C₂×D₄	semidirect
426. C₂²×#117	C₂×D₄	semidirect
441. #2911	C₂×D₄	semidirect
442. #2911	C₂×D₄	semidirect
443. #2911	C₂×D₄	semidirect
444. #2911	C₂×D₄	semidirect
453. C₂×#418	C₂×D₄	semidirect
454. C₂×#418	C₂×D₄	semidirect
455. C₂×#418	C₂×D₄	semidirect
456. C₂×#418	C₂×D₄	semidirect
461. C₂×#407	C₂×D₄	semidirect
462. C₂×#407	C₂×D₄	semidirect
475. C₂²×#41	#120	semidirect
476. C₂²×#41	#120	semidirect
496. C₂³×Q₈	#120	semidirect
506. C₂³×D₄	#120	semidirect
538. C₂×AGL(1,ℤ/8)	#120	semidirect
539. C₂²×SD₁₆	#120	semidirect
540. C₂²×D₈	#120	semidirect
557. #525	#120	semidirect
582. #419	#120	semidirect
583. #418	#120	semidirect
584. #416	#120	semidirect

Maximal subgroups

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

subgroup	index
#72256355	2
#72256351	2
#72256327	2
#72256279	2
#72256165	2
#72256115	2
#72256046	2
#72255979	2
#72255923	2
#72255831	2
#72255732	2
#72255660	2
#72252195	2
C₂×#449600	2
#72251318	2
#72251296	2
#72251201	2
C₂×#417620	2
#72251060	2
#72250089	2
#72249921	2
#72238106	2
#72237699	2
C₂×#417618	2
#72237672	2
#72237193	2
#72236737	2
C₂×#449496	2
C₂×#10575442	2