Subgroups — #30680472

Order 16768.

1160 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22554058	C₂	1	1	yes	maximal, characteristic, complemented
2	#22554057	C₂	1	1	yes	maximal, characteristic, complemented
3	#22554055	C₂	1	1	yes	maximal, characteristic, complemented
4	#22554054	C₂	1	1	yes	maximal, characteristic, complemented
5	#22554046	C₂	1	1	yes	maximal, characteristic, complemented
6	#22554045	C₂	1	1	yes	maximal, characteristic, complemented
7	#22553972	C₂	1	1	yes	maximal, characteristic, complemented
8	#22553970	C₂	1	1	yes	maximal, characteristic, complemented
9	#22553959	C₂	1	1	yes	maximal, characteristic, complemented
10	#22553958	C₂	1	1	yes	maximal, characteristic, complemented
11	#22553954	C₂	1	1	yes	maximal, characteristic, complemented
12	#22553952	C₂	1	1	yes	maximal, characteristic, complemented
13	#22553952	C₂	1	1	yes	maximal, characteristic, complemented
14	#22553951	C₂	1	1	yes	maximal, characteristic, complemented
15	#22553946	C₂	1	1	yes	maximal, characteristic, complemented
16	#22553944	C₂	1	1	yes	maximal, characteristic, complemented
17	#22553930	C₂	1	1	yes	maximal, characteristic, complemented
18	#22553928	C₂	1	1	yes	maximal, characteristic, complemented
19	#22553901	C₂	1	1	yes	maximal, characteristic, complemented
20	#22553901	C₂	1	1	yes	maximal, characteristic, complemented
21	#22553896	C₂	1	1	yes	maximal, characteristic, complemented
22	#22553895	C₂	1	1	yes	maximal, characteristic, complemented
23	#22553894	C₂	1	1	yes	maximal, characteristic, complemented
24	#22553878	C₂	1	1	yes	maximal, characteristic, complemented
25	#22553877	C₂	1	1	yes	maximal, characteristic, complemented
26	#22553873	C₂	1	1	yes	maximal, characteristic, complemented
27	#22553872	C₂	1	1	yes	maximal, characteristic, complemented
28	#22553859	C₂	1	1	yes	maximal, characteristic, complemented
29	#22553845	C₂	1	1	yes	maximal, characteristic, complemented
30	#124×D₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented
31	#538×C₁₃₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14523513	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14523513	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14523513	C₂²	1	1	yes	characteristic, complemented
35	C₂×#14523512	C₂²	1	1	yes	characteristic, complemented
36	C₂×Q₈×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₅₂₄	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×D₁₃₁	C₂²	1	1	yes	characteristic
41	C₂×D₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
44	#16862245	C₂²	1	1	yes	characteristic, complemented
45	#16862242	C₂²	1	1	yes	characteristic
46	#16862242	C₂²	1	1	yes	characteristic
47	#16862242	C₂²	1	1	yes	characteristic, complemented
48	#16862241	C₂²	1	1	yes	characteristic, complemented
49	#16862241	C₂²	1	1	yes	characteristic, complemented
50	#16862240	C₂²	1	1	yes	characteristic, complemented
51	#16862239	C₂²	1	1	yes	characteristic, complemented
52	#16862236	C₂²	1	1	yes	characteristic, complemented
53	#16862235	C₂²	1	1	yes	characteristic, complemented
54	#16862235	C₂²	1	1	yes	characteristic, complemented
55	#16862234	C₂²	1	1	yes	characteristic, complemented
56	#16862234	C₂²	1	1	yes	characteristic, complemented
57	#16862234	C₂²	1	1	yes	characteristic, complemented
58	#16862233	C₂²	1	1	yes	characteristic, complemented
59	#16862233	C₂²	1	1	yes	characteristic, complemented
60	#16862233	C₂²	1	1	yes	characteristic, complemented
61	#16862232	C₂²	1	1	yes	characteristic, complemented
62	#16862232	C₂²	1	1	yes	characteristic, complemented
63	#16862232	C₂²	1	1	yes	characteristic, complemented
64	#16862232	C₂²	1	1	yes	characteristic, complemented
65	#16862232	C₂²	1	1	yes	characteristic, complemented
66	#16862232	C₂²	1	1	yes	characteristic, complemented
67	#16862232	C₂²	1	1	yes	characteristic, complemented
68	#16862232	C₂²	1	1	yes	characteristic, complemented
69	#16862232	C₂²	1	1	yes	characteristic, complemented
70	#16862232	C₂²	1	1	yes	characteristic, complemented
71	#16862232	C₂²	1	1	yes	characteristic, complemented
72	#16862232	C₂²	1	1	yes	characteristic, complemented
73	#16862232	C₂²	1	1	yes	characteristic, complemented
74	#16862232	C₂²	1	1	yes	characteristic, complemented
75	#16862232	C₂²	1	1	yes	characteristic, complemented
76	#16862231	C₂²	1	1	yes	characteristic, complemented
77	#16862231	C₂²	1	1	yes	characteristic, complemented
78	#16862231	C₂²	1	1	yes	characteristic, complemented
79	#16862231	C₂²	1	1	yes	characteristic, complemented
80	#16862231	C₂²	1	1	yes	characteristic, complemented
81	#16862230	C₂²	1	1	yes	characteristic, complemented
82	#16862229	C₂²	1	1	yes	characteristic, complemented
83	#16862229	C₂²	1	1	yes	characteristic, complemented
84	#16862229	C₂²	1	1	yes	characteristic, complemented
85	#16862228	C₂²	1	1	yes	characteristic, complemented
86	#16862228	C₂²	1	1	yes	characteristic, complemented
87	#16862228	C₂²	1	1	yes	characteristic, complemented
88	#16862228	C₂²	1	1	yes	characteristic, complemented
89	#16862228	C₂²	1	1	yes	characteristic, complemented
90	#16862227	C₂²	1	1	yes	characteristic, complemented
91	#16862227	C₂²	1	1	yes	characteristic, complemented
92	#16862226	C₂²	1	1	yes	characteristic, complemented
93	#16862225	C₂²	1	1	yes	characteristic, complemented
94	#16862224	C₂²	1	1	yes	characteristic, complemented
95	#16862224	C₂²	1	1	yes	characteristic, complemented
96	#16862224	C₂²	1	1	yes	characteristic, complemented
97	#16862224	C₂²	1	1	yes	characteristic, complemented
98	#16862223	C₂²	1	1	yes	characteristic, complemented
99	#16862223	C₂²	1	1	yes	characteristic, complemented
100	#16862223	C₂²	1	1	yes	characteristic, complemented
101	#16862222	C₂²	1	1	yes	characteristic, complemented
102	#16862221	C₂²	1	1	yes	characteristic, complemented
103	#16862221	C₂²	1	1	yes	characteristic, complemented
104	#16862221	C₂²	1	1	yes	characteristic, complemented
105	#16862221	C₂²	1	1	yes	characteristic, complemented
106	#16862220	C₂²	1	1	yes	characteristic, complemented
107	#16862220	C₂²	1	1	yes	characteristic, complemented
108	#16862219	C₂²	1	1	yes	characteristic
109	#16862219	C₂²	1	1	yes	characteristic
110	#16862219	C₂²	1	1	yes	characteristic, complemented
111	#16862219	C₂²	1	1	yes	characteristic, complemented
112	#16862219	C₂²	1	1	yes	characteristic, complemented
113	#16862219	C₂²	1	1	yes	characteristic, complemented
114	#16862219	C₂²	1	1	yes	characteristic, complemented
115	#16862219	C₂²	1	1	yes	characteristic, complemented
116	#16862219	C₂²	1	1	yes	characteristic, complemented
117	#16862219	C₂²	1	1	yes	characteristic, complemented
118	#16862219	C₂²	1	1	yes	characteristic, complemented
119	#16862218	C₂²	1	1	yes	characteristic
120	#16862218	C₂²	1	1	yes	characteristic, complemented
121	#16862218	C₂²	1	1	yes	characteristic, complemented
122	#16862218	C₂²	1	1	yes	characteristic, complemented
123	#16862217	C₂²	1	1	yes	characteristic, complemented
124	#16862217	C₂²	1	1	yes	characteristic, complemented
125	#16862217	C₂²	1	1	yes	characteristic, complemented
126	#16862216	C₂²	1	1	yes	characteristic, complemented
127	#16862216	C₂²	1	1	yes	characteristic, complemented
128	#16862216	C₂²	1	1	yes	characteristic, complemented
129	#16862216	C₂²	1	1	yes	characteristic, complemented
130	#16862216	C₂²	1	1	yes	characteristic, complemented
131	#16862216	C₂²	1	1	yes	characteristic, complemented
132	#16862216	C₂²	1	1	yes	characteristic, complemented
133	#16862216	C₂²	1	1	yes	characteristic, complemented
134	#16862215	C₂²	1	1	yes	characteristic, complemented
135	#16862215	C₂²	1	1	yes	characteristic, complemented
136	#16862214	C₂²	1	1	yes	characteristic, complemented
137	#16862214	C₂²	1	1	yes	characteristic, complemented
138	#16862214	C₂²	1	1	yes	characteristic, complemented
139	#16862214	C₂²	1	1	yes	characteristic, complemented
140	#16862214	C₂²	1	1	yes	characteristic, complemented
141	#16862214	C₂²	1	1	yes	characteristic, complemented
142	#16862214	C₂²	1	1	yes	characteristic, complemented
143	#16862214	C₂²	1	1	yes	characteristic, complemented
144	C₄×Dic₂₆₂	C₂²	1	1	yes	characteristic, complemented
145	#16862211	C₂²	1	1	yes	characteristic, complemented
146	#16862211	C₂²	1	1	yes	characteristic, complemented
147	C₄×D₅₂₄	C₂²	1	1	yes	characteristic, complemented
148	C₄×D₅₂₄	C₂²	1	1	yes	characteristic, complemented
149	#16862208	C₂²	1	1	yes	characteristic, complemented
150	#16862208	C₂²	1	1	yes	characteristic, complemented
151	#16862208	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₂²⋊D₁₃₁	C₂²	1	1	yes	characteristic, complemented
157	(C₂²⋊D₁₃₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	(C₂²⋊D₁₃₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	(C₂²⋊D₁₃₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	(C₂²⋊D₁₃₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	(C₂²⋊D₁₃₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
162	#16862204	C₂²	1	1	yes	characteristic, complemented
163	#16862202	C₂²	1	1	yes	characteristic, complemented
164	C₂×(C₂×D₁₃₁)⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₂²⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
171	C₄²×D₁₃₁	C₂²	1	1	yes	characteristic, complemented
172	#126×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
173	#126×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
174	#124×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
175	#124×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
176	#123×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
177	#123×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
178	C₂²⋊Q₈×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
179	#121×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
180	#121×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
181	#121×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
182	#120×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
183	#120×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
184	C₄×D₄×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
185	C₄×D₄×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₂²⋊C₄×C₁₃₁	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₃₁	C₂³	1	1	yes	characteristic
188	C₂³×D₁₃₁	C₂³	1	1	yes	characteristic
189	C₂³×D₁₃₁	C₂³	1	1	yes	characteristic
190	C₂³×D₁₃₁	C₂³	1	1	yes	characteristic
191	C₂³×D₁₃₁	C₂³	1	1	yes	characteristic
192	#14523513	—	4	2	no	—
193	#14523513	—	4	2	no	—
194	#14523513	—	4	2	no	—
195	#14523512	—	4	2	no	—
196	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
197	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
198	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
199	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
200	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
201	C₂×Dic₂₆₂	C₂³	1	1	yes	characteristic
202	Q₈×D₁₃₁	—	4	2	no	—
203	C₂×D₅₂₄	—	4	2	no	—
204	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
205	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
206	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
207	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
208	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
209	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
210	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
211	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
212	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
213	C₂×D₅₂₄	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊D₁₃₁	—	4	2	no	—
215	C₂×C₂²⋊D₁₃₁	—	4	2	no	—
216	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊D₁₃₁	C₂³	1	1	yes	characteristic
236	D₄×D₁₃₁	—	4	2	no	—
237	D₄×D₁₃₁	—	4	2	no	—
238	D₄×D₁₃₁	—	4	2	no	—
239	D₄×D₁₃₁	—	4	2	no	—
240	C₂²×Dic₁₃₁	C₂³	1	1	yes	characteristic
241	C₂²×Dic₁₃₁	C₂³	1	1	yes	characteristic
242	C₂²×Dic₁₃₁	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
247	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
248	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
250	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₁₃₁	C₂³	1	1	yes	characteristic
255	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
256	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
257	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
258	C₄⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
259	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
260	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
261	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
262	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
263	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
264	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
265	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
266	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
267	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
268	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
269	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
270	Dic₁₃₁⋊C₄	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
273	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
274	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
275	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
282	C₂²⋊Dic₁₃₁	C₂³	1	1	yes	characteristic
283	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
284	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
285	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
286	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
287	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×D₁₃₁)⋊C₄	C₂³	1	1	yes	characteristic
311	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
312	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
313	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
314	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
315	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
316	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
317	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
318	C₄×Dic₁₃₁	C₂³	1	1	yes	characteristic
319	C₂⁴×C₁₃₁	C₂³	1	1	yes	characteristic
320	C₂×Q₈×C₁₃₁	C₂³	1	1	yes	characteristic
321	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
322	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
323	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
324	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
325	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
326	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
327	C₂×D₄×C₁₃₁	C₂³	1	1	yes	characteristic
328	C₂²×C₄×C₁₃₁	C₂³	1	1	yes	characteristic
329	C₂²×C₄×C₁₃₁	C₂³	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₁	C₂³	1	1	yes	characteristic
331	C₂²×C₄×C₁₃₁	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
335	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
337	C₄⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
338	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
339	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
340	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
341	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
342	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
343	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
344	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
345	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
346	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
347	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
348	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
349	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
350	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
351	C₂²⋊C₄×C₁₃₁	C₂³	1	1	yes	characteristic
352	C₄²×C₁₃₁	C₂³	1	1	yes	characteristic
353	C₄²×C₁₃₁	C₂³	1	1	yes	characteristic
354	C₂²×D₁₃₁	—	2	2	no	—
355	C₂²×D₁₃₁	—	2	2	no	—
356	C₂²×D₁₃₁	—	4	1	no	—
357	C₂²×D₁₃₁	—	4	1	no	—
358	C₂²×D₁₃₁	—	4	1	no	—
359	C₂²×D₁₃₁	—	4	1	no	—
360	C₂²×D₁₃₁	—	4	1	no	—
361	C₂²×D₁₃₁	—	4	1	no	—
362	C₂²×D₁₃₁	—	4	1	no	—
363	C₂²×D₁₃₁	—	4	1	no	—
364	C₂²×D₁₃₁	—	4	1	no	—
365	C₂²×D₁₃₁	—	4	1	no	—
366	C₂²×D₁₃₁	—	4	1	no	—
367	C₂²×D₁₃₁	—	4	1	no	—
368	C₂²×D₁₃₁	—	4	1	no	—
369	C₂²×D₁₃₁	C₂⁴	1	1	yes	characteristic
370	C₂²×D₁₃₁	C₂⁴	1	1	yes	characteristic
371	C₂²×D₁₃₁	C₂⁴	1	1	yes	characteristic
372	C₂²×D₁₃₁	C₂⁴	1	1	yes	characteristic
373	C₂²×D₁₃₁	C₂⁴	1	1	yes	characteristic
374	C₂²×D₁₃₁	C₂⁴	1	1	yes	characteristic
375	Dic₂₆₂	—	2	2	no	—
376	Dic₂₆₂	—	2	2	no	—
377	Dic₂₆₂	—	4	1	no	—
378	Dic₂₆₂	—	4	1	no	—
379	Dic₂₆₂	—	4	1	no	—
380	Dic₂₆₂	—	4	1	no	—
381	D₅₂₄	—	2	2	no	—
382	D₅₂₄	—	2	2	no	—
383	D₅₂₄	—	2	2	no	—
384	D₅₂₄	—	4	1	no	—
385	D₅₂₄	—	4	1	no	—
386	D₅₂₄	—	4	1	no	—
387	D₅₂₄	—	4	1	no	—
388	D₅₂₄	—	4	1	no	—
389	D₅₂₄	—	4	1	no	—
390	D₅₂₄	—	4	1	no	—
391	C₂²⋊D₁₃₁	—	2	2	no	—
392	C₂²⋊D₁₃₁	—	2	2	no	—
393	C₂²⋊D₁₃₁	—	2	2	no	—
394	C₂²⋊D₁₃₁	—	2	2	no	—
395	C₂²⋊D₁₃₁	—	2	2	no	—
396	C₂²⋊D₁₃₁	—	2	2	no	—
397	C₂²⋊D₁₃₁	—	2	2	no	—
398	C₂²⋊D₁₃₁	—	4	1	no	—
399	C₂²⋊D₁₃₁	—	4	1	no	—
400	C₂²⋊D₁₃₁	—	4	1	no	—
401	C₂²⋊D₁₃₁	—	4	1	no	—
402	C₂²⋊D₁₃₁	—	4	1	no	—
403	C₂²⋊D₁₃₁	—	4	1	no	—
404	C₂²⋊D₁₃₁	—	4	1	no	—
405	C₂²⋊D₁₃₁	—	4	1	no	—
406	C₂²⋊D₁₃₁	—	4	1	no	—
407	C₂²⋊D₁₃₁	—	4	1	no	—
408	C₂²⋊D₁₃₁	—	4	1	no	—
409	C₂²⋊D₁₃₁	—	4	1	no	—
410	C₂²⋊D₁₃₁	—	4	1	no	—
411	C₂×Dic₁₃₁	—	2	2	no	—
412	C₂×Dic₁₃₁	—	4	1	no	—
413	C₂×Dic₁₃₁	—	4	1	no	—
414	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
415	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
416	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
417	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
418	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₁₃₁	C₂⁴	1	1	yes	characteristic
424	C₄×D₁₃₁	—	2	2	no	—
425	C₄×D₁₃₁	—	2	2	no	—
426	C₄×D₁₃₁	—	2	2	no	—
427	C₄×D₁₃₁	—	4	1	no	—
428	C₄×D₁₃₁	—	4	1	no	—
429	C₄×D₁₃₁	—	4	1	no	—
430	C₄×D₁₃₁	—	4	1	no	—
431	C₄×D₁₃₁	—	4	1	no	—
432	C₄×D₁₃₁	—	4	1	no	—
433	C₄×D₁₃₁	—	4	1	no	—
434	C₄×D₁₃₁	—	4	1	no	—
435	C₄×D₁₃₁	—	4	1	no	—
436	C₂³×C₁₃₁	—	4	1	no	—
437	C₂³×C₁₃₁	—	4	1	no	—
438	C₂³×C₁₃₁	—	4	1	no	—
439	C₂³×C₁₃₁	C₂⁴	1	1	yes	characteristic
440	C₂³×C₁₃₁	C₂⁴	1	1	yes	characteristic
441	C₂³×C₁₃₁	C₂⁴	1	1	yes	characteristic
442	C₂³×C₁₃₁	C₂⁴	1	1	yes	characteristic
443	C₂³×C₁₃₁	C₂⁴	1	1	yes	characteristic
444	Q₈×C₁₃₁	—	4	1	no	—
445	D₄×C₁₃₁	—	4	1	no	—
446	D₄×C₁₃₁	—	4	1	no	—
447	D₄×C₁₃₁	—	4	1	no	—
448	D₄×C₁₃₁	—	4	1	no	—
449	D₄×C₁₃₁	—	4	1	no	—
450	D₄×C₁₃₁	—	4	1	no	—
451	D₄×C₁₃₁	—	4	1	no	—
452	C₂×C₄×C₁₃₁	—	4	1	no	—
453	C₂×C₄×C₁₃₁	—	4	1	no	—
454	C₂×C₄×C₁₃₁	—	4	1	no	—
455	C₂×C₄×C₁₃₁	—	4	1	no	—
456	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
457	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
458	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
459	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
460	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
461	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
462	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
463	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
464	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
465	C₂×C₄×C₁₃₁	C₂⁴	1	1	yes	characteristic
466	C₂²×C₁₃₁	—	2	1	no	—
467	C₂²×C₁₃₁	—	2	1	no	—
468	C₂²×C₁₃₁	—	2	1	no	—
469	C₂²×C₁₃₁	—	2	1	no	—
470	C₂²×C₁₃₁	—	2	1	no	—
471	C₂²×C₁₃₁	—	2	1	no	—
472	C₂²×C₁₃₁	—	2	1	no	—
473	C₂²×C₁₃₁	—	2	1	no	—
474	C₂²×C₁₃₁	—	2	1	no	—
475	C₂²×C₁₃₁	—	2	1	no	—
476	C₂²×C₁₃₁	—	2	1	no	—
477	C₂²×C₁₃₁	—	2	1	no	—
478	C₂²×C₁₃₁	—	2	1	no	—
479	C₂²×C₁₃₁	—	2	1	no	—
480	C₂²×C₁₃₁	—	2	1	no	—
481	C₂²×C₁₃₁	—	8	2	no	—
482	C₂²×C₁₃₁	C₂⁵	1	1	yes	characteristic
483	C₂×D₁₃₁	—	2	1	no	—
484	C₂×D₁₃₁	—	2	1	no	—
485	C₂×D₁₃₁	—	2	1	no	—
486	C₂×D₁₃₁	—	2	1	no	—
487	C₂×D₁₃₁	—	2	1	no	—
488	C₂×D₁₃₁	—	2	1	no	—
489	C₂×D₁₃₁	—	2	1	no	—
490	C₂×D₁₃₁	—	2	1	no	—
491	C₂×D₁₃₁	—	2	1	no	—
492	C₂×D₁₃₁	—	2	1	no	—
493	C₂×D₁₃₁	—	2	1	no	—
494	C₂×D₁₃₁	—	2	1	no	—
495	C₂×D₁₃₁	—	2	1	no	—
496	C₂×D₁₃₁	—	2	1	no	—
497	C₂×D₁₃₁	—	2	1	no	—
498	C₂×D₁₃₁	—	2	1	no	—
499	C₂×D₁₃₁	—	2	1	no	—
500	C₂×D₁₃₁	—	8	2	no	—
501	C₂×D₁₃₁	—	8	2	no	—
502	C₂×D₁₃₁	—	8	2	no	—
503	C₂×D₁₃₁	—	8	2	no	—
504	C₂×D₁₃₁	—	8	2	no	—
505	C₂×D₁₃₁	H(5,𝔽₂)	1	2	yes	—
506	C₄×C₁₃₁	—	2	1	no	—
507	C₄×C₁₃₁	—	2	1	no	—
508	C₄×C₁₃₁	—	2	1	no	—
509	C₄×C₁₃₁	—	2	1	no	—
510	C₄×C₁₃₁	—	2	1	no	—
511	C₄×C₁₃₁	—	2	1	no	—
512	C₄×C₁₃₁	—	2	1	no	—
513	C₄×C₁₃₁	—	2	1	no	—
514	C₄×C₁₃₁	—	2	1	no	—
515	C₄×C₁₃₁	—	2	1	no	—
516	Dic₁₃₁	—	2	1	no	—
517	Dic₁₃₁	—	2	1	no	—
518	Dic₁₃₁	—	2	1	no	—
519	Dic₁₃₁	—	2	1	no	—
520	Dic₁₃₁	—	2	1	no	—
521	Dic₁₃₁	—	2	1	no	—
522	Dic₁₃₁	—	2	1	no	—
523	Dic₁₃₁	—	2	1	no	—
524	Dic₁₃₁	—	2	1	no	—
525	Dic₁₃₁	H(5,𝔽₂)	1	2	yes	—
526	C₂×C₁₃₁	—	4	1	no	—
527	C₂×C₁₃₁	—	4	1	no	—
528	C₂×C₁₃₁	—	4	1	no	—
529	C₂×C₁₃₁	—	4	1	no	—
530	C₂×C₁₃₁	—	4	1	no	—
531	C₂×C₁₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
532	C₂×C₁₃₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
533	C₂×C₁₃₁	#585	1	1	yes	characteristic
534	D₁₃₁	—	2	2	no	—
535	D₁₃₁	—	4	1	no	—
536	D₁₃₁	—	4	1	no	—
537	D₁₃₁	—	4	1	no	—
538	D₁₃₁	—	4	1	no	—
539	D₁₃₁	—	4	1	no	—
540	C₁₃₁	#3558	1	1	yes	characteristic, complemented, Sylow
541	#3558	—	131	1	no	maximal, Sylow
542	#562	—	131	1	no	—
543	#562	—	131	1	no	—
544	H(3,𝔽₄)	—	131	1	no	—
545	H(3,𝔽₄)	—	131	1	no	—
546	#559	—	131	1	no	—
547	#559	—	131	1	no	—
548	#548	—	131	1	no	—
549	#548	—	131	1	no	—
550	#546	—	131	1	no	—
551	#546	—	131	1	no	—
552	#546	—	131	1	no	—
553	#546	—	131	1	no	—
554	#546	—	131	1	no	—
555	#546	—	131	1	no	—
556	D₄²	—	131	1	no	—
557	D₄²	—	131	1	no	—
558	#542	—	131	1	no	—
559	#542	—	131	1	no	—
560	#538	—	131	1	no	—
561	#538	—	131	1	no	—
562	#538	—	131	1	no	—
563	#538	—	131	1	no	—
564	#538	—	131	1	no	—
565	#538	D₁₃₁	1	1	yes	characteristic, complemented
566	#535	—	131	1	no	—
567	#535	—	131	1	no	—
568	#534	—	131	1	no	—
569	#534	—	131	1	no	—
570	#532	—	131	1	no	—
571	#529	—	131	1	no	—
572	C₂×#124	—	131	1	no	—
573	C₂×#41	—	131	1	no	—
574	C₂×#41	—	131	1	no	—
575	C₂×#41	—	131	1	no	—
576	C₂×#41	—	131	1	no	—
577	C₂²×Q₈	—	131	1	no	—
578	C₂²×D₄	—	131	1	no	—
579	C₂²×D₄	—	131	1	no	—
580	C₂²×D₄	—	131	1	no	—
581	C₂²×D₄	—	131	1	no	—
582	C₂²×D₄	—	131	1	no	—
583	C₂²×D₄	—	131	1	no	—
584	C₂²×D₄	—	131	1	no	—
585	C₄⋊Q₈	—	131	1	no	—
586	#127	—	131	1	no	—
587	#127	—	131	1	no	—
588	#127	—	131	1	no	—
589	#126	—	131	1	no	—
590	#126	—	131	1	no	—
591	#126	—	131	1	no	—
592	#126	—	131	1	no	—
593	#126	C₂×D₁₃₁	1	1	yes	characteristic, complemented
594	#126	C₂×D₁₃₁	1	1	yes	characteristic, complemented
595	#125	—	131	1	no	—
596	#124	—	131	1	no	—
597	#124	—	131	1	no	—
598	#124	—	131	1	no	—
599	#124	—	131	1	no	—
600	#124	—	131	1	no	—
601	#124	—	131	1	no	—
602	#124	—	131	1	no	—
603	#124	—	131	1	no	—
604	#124	—	131	1	no	—
605	#124	—	131	1	no	—
606	#124	—	131	1	no	—
607	#124	—	131	1	no	—
608	#124	—	131	1	no	—
609	#124	—	131	1	no	—
610	#124	—	131	1	no	—
611	#124	—	131	1	no	—
612	#124	—	131	1	no	—
613	#124	—	131	1	no	—
614	#124	—	131	1	no	—
615	#124	—	131	1	no	—
616	#124	—	131	1	no	—
617	#124	—	131	1	no	—
618	#124	—	131	1	no	—
619	#124	C₂×D₁₃₁	1	1	yes	characteristic, complemented
620	#124	C₂×D₁₃₁	1	1	yes	characteristic, complemented
621	#123	—	131	1	no	—
622	#123	—	131	1	no	—
623	#123	—	131	1	no	—
624	#123	—	131	1	no	—
625	#123	—	131	1	no	—
626	#123	—	131	1	no	—
627	#123	—	131	1	no	—
628	#123	—	131	1	no	—
629	#123	—	131	1	no	—
630	#123	—	131	1	no	—
631	#123	—	131	1	no	—
632	#123	—	131	1	no	—
633	#123	—	131	1	no	—
634	#123	—	131	1	no	—
635	#123	—	131	1	no	—
636	#123	—	131	1	no	—
637	#123	C₂×D₁₃₁	1	1	yes	characteristic, complemented
638	#123	C₂×D₁₃₁	1	1	yes	characteristic, complemented
639	C₂²⋊Q₈	—	131	1	no	—
640	C₂²⋊Q₈	—	131	1	no	—
641	C₂²⋊Q₈	—	131	1	no	—
642	C₂²⋊Q₈	—	131	1	no	—
643	C₂²⋊Q₈	—	131	1	no	—
644	C₂²⋊Q₈	—	131	1	no	—
645	C₂²⋊Q₈	—	131	1	no	—
646	C₂²⋊Q₈	—	131	1	no	—
647	C₂²⋊Q₈	—	131	1	no	—
648	C₂²⋊Q₈	—	131	1	no	—
649	C₂²⋊Q₈	C₂×D₁₃₁	1	1	yes	characteristic, complemented
650	#121	—	131	1	no	—
651	#121	—	131	1	no	—
652	#121	—	131	1	no	—
653	#121	—	131	1	no	—
654	#121	—	131	1	no	—
655	#121	—	131	1	no	—
656	#121	—	131	1	no	—
657	#121	—	131	1	no	—
658	#121	—	131	1	no	—
659	#121	—	131	1	no	—
660	#121	—	131	1	no	—
661	#121	—	131	1	no	—
662	#121	—	131	1	no	—
663	#121	—	131	1	no	—
664	#121	—	131	1	no	—
665	#121	—	131	1	no	—
666	#121	—	131	1	no	—
667	#121	—	131	1	no	—
668	#121	—	131	1	no	—
669	#121	—	131	1	no	—
670	#121	—	131	1	no	—
671	#121	—	131	1	no	—
672	#121	—	131	1	no	—
673	#121	—	131	1	no	—
674	#121	C₂×D₁₃₁	1	1	yes	characteristic, complemented
675	#121	C₂×D₁₃₁	1	1	yes	characteristic, complemented
676	#121	C₂×D₁₃₁	1	1	yes	characteristic, complemented
677	#120	—	131	1	no	—
678	#120	—	131	1	no	—
679	#120	—	131	1	no	—
680	#120	—	131	1	no	—
681	#120	—	131	1	no	—
682	#120	—	131	1	no	—
683	#120	—	131	1	no	—
684	#120	—	131	1	no	—
685	#120	—	131	1	no	—
686	#120	—	131	1	no	—
687	#120	—	131	1	no	—
688	#120	—	131	1	no	—
689	#120	—	131	1	no	—
690	#120	—	131	1	no	—
691	#120	—	131	1	no	—
692	#120	—	131	1	no	—
693	#120	—	131	1	no	—
694	#120	—	131	1	no	—
695	#120	C₂×D₁₃₁	1	1	yes	characteristic, complemented
696	#120	C₂×D₁₃₁	1	1	yes	characteristic, complemented
697	C₄×Q₈	—	131	1	no	—
698	C₄×Q₈	—	131	1	no	—
699	C₄×Q₈	—	131	1	no	—
700	C₄×D₄	—	131	1	no	—
701	C₄×D₄	—	131	1	no	—
702	C₄×D₄	—	131	1	no	—
703	C₄×D₄	—	131	1	no	—
704	C₄×D₄	—	131	1	no	—
705	C₄×D₄	—	131	1	no	—
706	C₄×D₄	—	131	1	no	—
707	C₄×D₄	—	131	1	no	—
708	C₄×D₄	—	131	1	no	—
709	C₄×D₄	—	131	1	no	—
710	C₄×D₄	—	131	1	no	—
711	C₄×D₄	—	131	1	no	—
712	C₄×D₄	—	131	1	no	—
713	C₄×D₄	—	131	1	no	—
714	C₄×D₄	—	131	1	no	—
715	C₄×D₄	C₂×D₁₃₁	1	1	yes	characteristic, complemented
716	C₄×D₄	C₂×D₁₃₁	1	1	yes	characteristic, complemented
717	#117	—	131	1	no	—
718	#117	—	131	1	no	—
719	C₂×C₂²⋊C₄	—	131	1	no	—
720	C₂×C₂²⋊C₄	—	131	1	no	—
721	C₂×C₂²⋊C₄	—	131	1	no	—
722	C₂×C₂²⋊C₄	—	131	1	no	—
723	C₂×C₂²⋊C₄	—	131	1	no	—
724	C₂×C₂²⋊C₄	—	131	1	no	—
725	C₂×C₂²⋊C₄	—	131	1	no	—
726	C₂×C₂²⋊C₄	C₂×D₁₃₁	1	1	yes	characteristic, complemented
727	C₂×C₄²	—	131	1	no	—
728	C₂⁴	—	131	1	no	—
729	C₂⁴	—	131	1	no	—
730	C₂⁴	—	131	1	no	—
731	C₂⁴	—	131	1	no	—
732	C₂⁴	—	131	1	no	—
733	C₂⁴	C₂²×D₁₃₁	1	1	yes	characteristic
734	#41	—	524	2	no	—
735	#41	—	524	2	no	—
736	#41	—	524	2	no	—
737	#41	—	524	2	no	—
738	C₂×Q₈	—	524	2	no	—
739	C₂×Q₈	—	131	1	no	—
740	C₂×Q₈	—	131	1	no	—
741	C₂×Q₈	—	131	1	no	—
742	C₂×Q₈	—	131	1	no	—
743	C₂×Q₈	—	131	1	no	—
744	C₂×Q₈	—	131	1	no	—
745	C₂×Q₈	C₂²×D₁₃₁	1	1	yes	characteristic
746	C₂×D₄	—	524	2	no	—
747	C₂×D₄	—	524	2	no	—
748	C₂×D₄	—	524	2	no	—
749	C₂×D₄	—	524	2	no	—
750	C₂×D₄	—	524	2	no	—
751	C₂×D₄	—	524	2	no	—
752	C₂×D₄	—	524	2	no	—
753	C₂×D₄	—	131	1	no	—
754	C₂×D₄	—	131	1	no	—
755	C₂×D₄	—	131	1	no	—
756	C₂×D₄	—	131	1	no	—
757	C₂×D₄	—	131	1	no	—
758	C₂×D₄	—	131	1	no	—
759	C₂×D₄	—	131	1	no	—
760	C₂×D₄	—	131	1	no	—
761	C₂×D₄	—	131	1	no	—
762	C₂×D₄	—	131	1	no	—
763	C₂×D₄	—	131	1	no	—
764	C₂×D₄	—	131	1	no	—
765	C₂×D₄	—	131	1	no	—
766	C₂×D₄	—	131	1	no	—
767	C₂×D₄	—	131	1	no	—
768	C₂×D₄	—	131	1	no	—
769	C₂×D₄	—	131	1	no	—
770	C₂×D₄	—	131	1	no	—
771	C₂×D₄	—	131	1	no	—
772	C₂×D₄	—	131	1	no	—
773	C₂×D₄	—	131	1	no	—
774	C₂×D₄	—	131	1	no	—
775	C₂×D₄	—	131	1	no	—
776	C₂×D₄	—	131	1	no	—
777	C₂×D₄	—	131	1	no	—
778	C₂×D₄	—	131	1	no	—
779	C₂×D₄	—	131	1	no	—
780	C₂×D₄	—	131	1	no	—
781	C₂×D₄	—	131	1	no	—
782	C₂×D₄	—	131	1	no	—
783	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
784	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
785	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
786	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
787	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
788	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
789	C₂×D₄	C₂²×D₁₃₁	1	1	yes	characteristic
790	C₂²×C₄	—	131	1	no	—
791	C₂²×C₄	—	131	1	no	—
792	C₂²×C₄	—	131	1	no	—
793	C₂²×C₄	—	131	1	no	—
794	C₂²×C₄	—	131	1	no	—
795	C₂²×C₄	—	131	1	no	—
796	C₂²×C₄	—	131	1	no	—
797	C₂²×C₄	—	131	1	no	—
798	C₂²×C₄	—	131	1	no	—
799	C₂²×C₄	—	131	1	no	—
800	C₂²×C₄	—	131	1	no	—
801	C₂²×C₄	—	131	1	no	—
802	C₂²×C₄	—	131	1	no	—
803	C₂²×C₄	—	131	1	no	—
804	C₂²×C₄	—	131	1	no	—
805	C₂²×C₄	C₂²×D₁₃₁	1	1	yes	characteristic
806	C₂²×C₄	C₂²×D₁₃₁	1	1	yes	characteristic
807	C₂²×C₄	C₂²×D₁₃₁	1	1	yes	characteristic
808	C₂²×C₄	C₂²×D₁₃₁	1	1	yes	characteristic
809	C₄⋊C₄	—	131	1	no	—
810	C₄⋊C₄	—	131	1	no	—
811	C₄⋊C₄	—	131	1	no	—
812	C₄⋊C₄	—	131	1	no	—
813	C₄⋊C₄	—	131	1	no	—
814	C₄⋊C₄	—	131	1	no	—
815	C₄⋊C₄	—	131	1	no	—
816	C₄⋊C₄	—	131	1	no	—
817	C₄⋊C₄	—	131	1	no	—
818	C₄⋊C₄	—	131	1	no	—
819	C₄⋊C₄	—	131	1	no	—
820	C₄⋊C₄	—	131	1	no	—
821	C₄⋊C₄	—	131	1	no	—
822	C₄⋊C₄	—	131	1	no	—
823	C₄⋊C₄	—	131	1	no	—
824	C₄⋊C₄	—	131	1	no	—
825	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
826	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
827	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
828	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
829	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
830	C₄⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
831	C₂²⋊C₄	—	131	1	no	—
832	C₂²⋊C₄	—	131	1	no	—
833	C₂²⋊C₄	—	131	1	no	—
834	C₂²⋊C₄	—	131	1	no	—
835	C₂²⋊C₄	—	131	1	no	—
836	C₂²⋊C₄	—	131	1	no	—
837	C₂²⋊C₄	—	131	1	no	—
838	C₂²⋊C₄	—	131	1	no	—
839	C₂²⋊C₄	—	131	1	no	—
840	C₂²⋊C₄	—	131	1	no	—
841	C₂²⋊C₄	—	131	1	no	—
842	C₂²⋊C₄	—	131	1	no	—
843	C₂²⋊C₄	—	131	1	no	—
844	C₂²⋊C₄	—	131	1	no	—
845	C₂²⋊C₄	—	131	1	no	—
846	C₂²⋊C₄	—	131	1	no	—
847	C₂²⋊C₄	—	131	1	no	—
848	C₂²⋊C₄	—	131	1	no	—
849	C₂²⋊C₄	—	131	1	no	—
850	C₂²⋊C₄	—	131	1	no	—
851	C₂²⋊C₄	—	131	1	no	—
852	C₂²⋊C₄	—	131	1	no	—
853	C₂²⋊C₄	—	131	1	no	—
854	C₂²⋊C₄	—	131	1	no	—
855	C₂²⋊C₄	—	131	1	no	—
856	C₂²⋊C₄	—	131	1	no	—
857	C₂²⋊C₄	—	131	1	no	—
858	C₂²⋊C₄	—	131	1	no	—
859	C₂²⋊C₄	—	131	1	no	—
860	C₂²⋊C₄	—	131	1	no	—
861	C₂²⋊C₄	—	131	1	no	—
862	C₂²⋊C₄	—	131	1	no	—
863	C₂²⋊C₄	—	131	1	no	—
864	C₂²⋊C₄	—	131	1	no	—
865	C₂²⋊C₄	—	131	1	no	—
866	C₂²⋊C₄	—	131	1	no	—
867	C₂²⋊C₄	—	131	1	no	—
868	C₂²⋊C₄	—	131	1	no	—
869	C₂²⋊C₄	—	131	1	no	—
870	C₂²⋊C₄	—	131	1	no	—
871	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
872	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
873	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
874	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
875	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
876	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
877	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
878	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
879	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
880	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
881	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
882	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
883	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
884	C₂²⋊C₄	C₂²×D₁₃₁	1	1	yes	characteristic
885	C₄²	—	131	1	no	—
886	C₄²	—	131	1	no	—
887	C₄²	—	131	1	no	—
888	C₄²	—	131	1	no	—
889	C₄²	—	131	1	no	—
890	C₄²	—	131	1	no	—
891	C₄²	—	131	1	no	—
892	C₄²	—	131	1	no	—
893	C₄²	C₂²×D₁₃₁	1	1	yes	characteristic
894	C₄²	C₂²×D₁₃₁	1	1	yes	characteristic
895	C₂³	—	4	1	no	—
896	C₂³	—	4	1	no	—
897	C₂³	—	4	1	no	—
898	C₂³	—	262	2	no	—
899	C₂³	—	262	2	no	—
900	C₂³	—	524	1	no	—
901	C₂³	—	524	1	no	—
902	C₂³	—	524	1	no	—
903	C₂³	—	524	1	no	—
904	C₂³	—	524	1	no	—
905	C₂³	—	524	1	no	—
906	C₂³	—	524	1	no	—
907	C₂³	—	524	1	no	—
908	C₂³	—	524	1	no	—
909	C₂³	—	524	1	no	—
910	C₂³	—	524	1	no	—
911	C₂³	—	524	1	no	—
912	C₂³	—	524	1	no	—
913	C₂³	—	131	1	no	—
914	C₂³	—	131	1	no	—
915	C₂³	—	131	1	no	—
916	C₂³	—	131	1	no	—
917	C₂³	—	131	1	no	—
918	C₂³	—	131	1	no	—
919	C₂³	C₂³×D₁₃₁	1	1	yes	characteristic
920	C₂³	C₂³×D₁₃₁	1	1	yes	characteristic
921	C₂³	C₂³×D₁₃₁	1	1	yes	characteristic
922	C₂³	C₂³×D₁₃₁	1	1	yes	characteristic
923	C₂³	C₂³×D₁₃₁	1	1	yes	characteristic
924	Q₈	—	4	1	no	—
925	Q₈	—	262	2	no	—
926	Q₈	—	262	2	no	—
927	Q₈	—	524	1	no	—
928	Q₈	—	524	1	no	—
929	Q₈	—	524	1	no	—
930	Q₈	—	524	1	no	—
931	D₄	—	4	1	no	—
932	D₄	—	4	1	no	—
933	D₄	—	4	1	no	—
934	D₄	—	4	1	no	—
935	D₄	—	4	1	no	—
936	D₄	—	4	1	no	—
937	D₄	—	4	1	no	—
938	D₄	—	262	2	no	—
939	D₄	—	262	2	no	—
940	D₄	—	262	2	no	—
941	D₄	—	262	2	no	—
942	D₄	—	262	2	no	—
943	D₄	—	262	2	no	—
944	D₄	—	262	2	no	—
945	D₄	—	262	2	no	—
946	D₄	—	262	2	no	—
947	D₄	—	262	2	no	—
948	D₄	—	524	1	no	—
949	D₄	—	524	1	no	—
950	D₄	—	524	1	no	—
951	D₄	—	524	1	no	—
952	D₄	—	524	1	no	—
953	D₄	—	524	1	no	—
954	D₄	—	524	1	no	—
955	D₄	—	524	1	no	—
956	D₄	—	524	1	no	—
957	D₄	—	524	1	no	—
958	D₄	—	524	1	no	—
959	D₄	—	524	1	no	—
960	D₄	—	524	1	no	—
961	D₄	—	524	1	no	—
962	D₄	—	524	1	no	—
963	D₄	—	524	1	no	—
964	D₄	—	524	1	no	—
965	D₄	—	524	1	no	—
966	D₄	—	524	1	no	—
967	D₄	—	524	1	no	—
968	C₂×C₄	—	4	1	no	—
969	C₂×C₄	—	4	1	no	—
970	C₂×C₄	—	4	1	no	—
971	C₂×C₄	—	4	1	no	—
972	C₂×C₄	—	262	2	no	—
973	C₂×C₄	—	262	2	no	—
974	C₂×C₄	—	262	2	no	—
975	C₂×C₄	—	262	2	no	—
976	C₂×C₄	—	524	1	no	—
977	C₂×C₄	—	524	1	no	—
978	C₂×C₄	—	524	1	no	—
979	C₂×C₄	—	524	1	no	—
980	C₂×C₄	—	524	1	no	—
981	C₂×C₄	—	524	1	no	—
982	C₂×C₄	—	524	1	no	—
983	C₂×C₄	—	524	1	no	—
984	C₂×C₄	—	524	1	no	—
985	C₂×C₄	—	524	1	no	—
986	C₂×C₄	—	524	1	no	—
987	C₂×C₄	—	131	1	no	—
988	C₂×C₄	—	131	1	no	—
989	C₂×C₄	—	131	1	no	—
990	C₂×C₄	—	131	1	no	—
991	C₂×C₄	—	131	1	no	—
992	C₂×C₄	—	131	1	no	—
993	C₂×C₄	—	131	1	no	—
994	C₂×C₄	—	131	1	no	—
995	C₂×C₄	—	131	1	no	—
996	C₂×C₄	—	131	1	no	—
997	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
998	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
999	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1000	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1001	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1002	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1003	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1004	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1005	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1006	C₂×C₄	C₂³×D₁₃₁	1	1	yes	characteristic
1007	C₂²	—	2	1	no	—
1008	C₂²	—	2	1	no	—
1009	C₂²	—	2	1	no	—
1010	C₂²	—	2	1	no	—
1011	C₂²	—	2	1	no	—
1012	C₂²	—	2	1	no	—
1013	C₂²	—	2	1	no	—
1014	C₂²	—	2	1	no	—
1015	C₂²	—	2	1	no	—
1016	C₂²	—	2	1	no	—
1017	C₂²	—	2	1	no	—
1018	C₂²	—	2	1	no	—
1019	C₂²	—	2	1	no	—
1020	C₂²	—	2	1	no	—
1021	C₂²	—	2	1	no	—
1022	C₂²	—	262	1	no	—
1023	C₂²	—	262	1	no	—
1024	C₂²	—	262	1	no	—
1025	C₂²	—	262	1	no	—
1026	C₂²	—	262	1	no	—
1027	C₂²	—	262	1	no	—
1028	C₂²	—	262	1	no	—
1029	C₂²	—	262	1	no	—
1030	C₂²	—	262	1	no	—
1031	C₂²	—	262	1	no	—
1032	C₂²	—	262	1	no	—
1033	C₂²	—	262	1	no	—
1034	C₂²	—	262	1	no	—
1035	C₂²	—	262	1	no	—
1036	C₂²	—	262	1	no	—
1037	C₂²	—	262	1	no	—
1038	C₂²	—	262	1	no	—
1039	C₂²	—	8	2	no	—
1040	C₂²	—	1048	2	no	—
1041	C₂²	—	1048	2	no	—
1042	C₂²	—	1048	2	no	—
1043	C₂²	—	1048	2	no	—
1044	C₂²	—	1048	2	no	—
1045	C₂²	—	131	2	no	—
1046	C₂²	C₂⁴×D₁₃₁	1	1	yes	characteristic
1047	C₄	—	2	1	no	—
1048	C₄	—	2	1	no	—
1049	C₄	—	2	1	no	—
1050	C₄	—	2	1	no	—
1051	C₄	—	2	1	no	—
1052	C₄	—	2	1	no	—
1053	C₄	—	2	1	no	—
1054	C₄	—	2	1	no	—
1055	C₄	—	2	1	no	—
1056	C₄	—	2	1	no	—
1057	C₄	—	262	1	no	—
1058	C₄	—	262	1	no	—
1059	C₄	—	262	1	no	—
1060	C₄	—	262	1	no	—
1061	C₄	—	262	1	no	—
1062	C₄	—	262	1	no	—
1063	C₄	—	262	1	no	—
1064	C₄	—	262	1	no	—
1065	C₄	—	262	1	no	—
1066	C₄	—	131	2	no	—
1067	C₂	—	4	1	no	—
1068	C₂	—	4	1	no	—
1069	C₂	—	4	1	no	—
1070	C₂	—	4	1	no	—
1071	C₂	—	4	1	no	—
1072	C₂	—	262	2	no	—
1073	C₂	—	524	1	no	—
1074	C₂	—	524	1	no	—
1075	C₂	—	524	1	no	—
1076	C₂	—	524	1	no	—
1077	C₂	—	524	1	no	—
1078	C₂	H(5,𝔽₂)×D₁₃₁	1	1	yes	characteristic
1079	C₂	H(5,𝔽₂)×D₁₃₁	1	1	yes	characteristic
1080	C₂	#22554148	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₃₁
commutator, socle, cosocle	C₂²×C₁₃₁	C₂⁵
Fitting	#538×C₁₃₁	C₂
hypercenter	#538	D₁₃₁
hypocenter	C₁₃₁	#3558
LCS	G ▷ C₂²×C₁₃₁ ▷ C₁₃₁
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. #22554058	C₂	semidirect
2. #22554057	C₂	semidirect
3. #22554055	C₂	semidirect
4. #22554054	C₂	semidirect
5. #22554046	C₂	semidirect
6. #22554045	C₂	semidirect
7. #22553972	C₂	semidirect
8. #22553970	C₂	semidirect
9. #22553959	C₂	semidirect
10. #22553958	C₂	semidirect
11. #22553954	C₂	semidirect
12. #22553952	C₂	semidirect
13. #22553952	C₂	semidirect
14. #22553951	C₂	semidirect
15. #22553946	C₂	semidirect
16. #22553944	C₂	semidirect
17. #22553930	C₂	semidirect
18. #22553928	C₂	semidirect
19. #22553901	C₂	semidirect
20. #22553901	C₂	semidirect
21. #22553896	C₂	semidirect
22. #22553895	C₂	semidirect
23. #22553894	C₂	semidirect
24. #22553878	C₂	semidirect
25. #22553877	C₂	semidirect
26. #22553873	C₂	semidirect
27. #22553872	C₂	semidirect
28. #22553859	C₂	semidirect
29. #22553845	C₂	semidirect
30. #124×D₁₃₁	C₂	semidirect
31. #538×C₁₃₁	C₂	semidirect
32. C₂×#14523513	C₂²	semidirect
33. C₂×#14523513	C₂²	semidirect
34. C₂×#14523513	C₂²	semidirect
35. C₂×#14523512	C₂²	semidirect
36. C₂×Q₈×D₁₃₁	C₂²	semidirect
37. C₂²×D₅₂₄	C₂²	semidirect
38. C₂²×C₂²⋊D₁₃₁	C₂²	semidirect
39. C₂²×C₂²⋊D₁₃₁	C₂²	semidirect
41. C₂×D₄×D₁₃₁	C₂²	semidirect
42. C₂×D₄×D₁₃₁	C₂²	semidirect
43. C₂×D₄×D₁₃₁	C₂²	semidirect
44. #16862245	C₂²	semidirect
47. #16862242	C₂²	semidirect
48. #16862241	C₂²	semidirect
49. #16862241	C₂²	semidirect
50. #16862240	C₂²	semidirect
51. #16862239	C₂²	semidirect
52. #16862236	C₂²	semidirect
53. #16862235	C₂²	semidirect
54. #16862235	C₂²	semidirect
55. #16862234	C₂²	semidirect
56. #16862234	C₂²	semidirect
57. #16862234	C₂²	semidirect
58. #16862233	C₂²	semidirect
59. #16862233	C₂²	semidirect
60. #16862233	C₂²	semidirect
61. #16862232	C₂²	semidirect
62. #16862232	C₂²	semidirect
63. #16862232	C₂²	semidirect
64. #16862232	C₂²	semidirect
65. #16862232	C₂²	semidirect
66. #16862232	C₂²	semidirect
67. #16862232	C₂²	semidirect
68. #16862232	C₂²	semidirect
69. #16862232	C₂²	semidirect
70. #16862232	C₂²	semidirect
71. #16862232	C₂²	semidirect
72. #16862232	C₂²	semidirect
73. #16862232	C₂²	semidirect
74. #16862232	C₂²	semidirect
75. #16862232	C₂²	semidirect
76. #16862231	C₂²	semidirect
77. #16862231	C₂²	semidirect
78. #16862231	C₂²	semidirect
79. #16862231	C₂²	semidirect
80. #16862231	C₂²	semidirect
81. #16862230	C₂²	semidirect
82. #16862229	C₂²	semidirect
83. #16862229	C₂²	semidirect
84. #16862229	C₂²	semidirect
85. #16862228	C₂²	semidirect
86. #16862228	C₂²	semidirect
87. #16862228	C₂²	semidirect
88. #16862228	C₂²	semidirect
89. #16862228	C₂²	semidirect
90. #16862227	C₂²	semidirect
91. #16862227	C₂²	semidirect
92. #16862226	C₂²	semidirect
93. #16862225	C₂²	semidirect
94. #16862224	C₂²	semidirect
95. #16862224	C₂²	semidirect
96. #16862224	C₂²	semidirect
97. #16862224	C₂²	semidirect
98. #16862223	C₂²	semidirect
99. #16862223	C₂²	semidirect
100. #16862223	C₂²	semidirect
101. #16862222	C₂²	semidirect
102. #16862221	C₂²	semidirect
103. #16862221	C₂²	semidirect
104. #16862221	C₂²	semidirect
105. #16862221	C₂²	semidirect
106. #16862220	C₂²	semidirect
107. #16862220	C₂²	semidirect
110. #16862219	C₂²	semidirect
111. #16862219	C₂²	semidirect
112. #16862219	C₂²	semidirect
113. #16862219	C₂²	semidirect
114. #16862219	C₂²	semidirect
115. #16862219	C₂²	semidirect
116. #16862219	C₂²	semidirect
117. #16862219	C₂²	semidirect
118. #16862219	C₂²	semidirect
120. #16862218	C₂²	semidirect
121. #16862218	C₂²	semidirect
122. #16862218	C₂²	semidirect
123. #16862217	C₂²	semidirect
124. #16862217	C₂²	semidirect
125. #16862217	C₂²	semidirect
126. #16862216	C₂²	semidirect
127. #16862216	C₂²	semidirect
128. #16862216	C₂²	semidirect
129. #16862216	C₂²	semidirect
130. #16862216	C₂²	semidirect
131. #16862216	C₂²	semidirect
132. #16862216	C₂²	semidirect
133. #16862216	C₂²	semidirect
134. #16862215	C₂²	semidirect
135. #16862215	C₂²	semidirect
136. #16862214	C₂²	semidirect
137. #16862214	C₂²	semidirect
138. #16862214	C₂²	semidirect
139. #16862214	C₂²	semidirect
140. #16862214	C₂²	semidirect
141. #16862214	C₂²	semidirect
142. #16862214	C₂²	semidirect
143. #16862214	C₂²	semidirect
144. C₄×Dic₂₆₂	C₂²	semidirect
145. #16862211	C₂²	semidirect
146. #16862211	C₂²	semidirect
147. C₄×D₅₂₄	C₂²	semidirect
148. C₄×D₅₂₄	C₂²	semidirect
149. #16862208	C₂²	semidirect
150. #16862208	C₂²	semidirect
151. #16862208	C₂²	semidirect
152. C₄×C₂²⋊D₁₃₁	C₂²	semidirect
153. C₄×C₂²⋊D₁₃₁	C₂²	semidirect
154. C₄×C₂²⋊D₁₃₁	C₂²	semidirect
155. C₄×C₂²⋊D₁₃₁	C₂²	semidirect
156. C₄×C₂²⋊D₁₃₁	C₂²	semidirect
157. (C₂²⋊D₁₃₁)⋊C₄	C₂²	semidirect
158. (C₂²⋊D₁₃₁)⋊C₄	C₂²	semidirect
159. (C₂²⋊D₁₃₁)⋊C₄	C₂²	semidirect
160. (C₂²⋊D₁₃₁)⋊C₄	C₂²	semidirect
161. (C₂²⋊D₁₃₁)⋊C₄	C₂²	semidirect
162. #16862204	C₂²	semidirect
163. #16862202	C₂²	semidirect
164. C₂×(C₂×D₁₃₁)⋊C₄	C₂²	semidirect
165. C₂²⋊C₄×D₁₃₁	C₂²	semidirect
166. C₂²⋊C₄×D₁₃₁	C₂²	semidirect
167. C₂²⋊C₄×D₁₃₁	C₂²	semidirect
168. C₂²⋊C₄×D₁₃₁	C₂²	semidirect
169. C₂²⋊C₄×D₁₃₁	C₂²	semidirect
170. C₂²⋊C₄×D₁₃₁	C₂²	semidirect
171. C₄²×D₁₃₁	C₂²	semidirect
172. #126×C₁₃₁	C₂²	semidirect
173. #126×C₁₃₁	C₂²	semidirect
174. #124×C₁₃₁	C₂²	semidirect
175. #124×C₁₃₁	C₂²	semidirect
176. #123×C₁₃₁	C₂²	semidirect
177. #123×C₁₃₁	C₂²	semidirect
178. C₂²⋊Q₈×C₁₃₁	C₂²	semidirect
179. #121×C₁₃₁	C₂²	semidirect
180. #121×C₁₃₁	C₂²	semidirect
181. #121×C₁₃₁	C₂²	semidirect
182. #120×C₁₃₁	C₂²	semidirect
183. #120×C₁₃₁	C₂²	semidirect
184. C₄×D₄×C₁₃₁	C₂²	semidirect
185. C₄×D₄×C₁₃₁	C₂²	semidirect
186. C₂×C₂²⋊C₄×C₁₃₁	C₂²	semidirect
540. C₁₃₁	#3558	semidirect
565. #538	D₁₃₁	semidirect
593. #126	C₂×D₁₃₁	semidirect
594. #126	C₂×D₁₃₁	semidirect
619. #124	C₂×D₁₃₁	semidirect
620. #124	C₂×D₁₃₁	semidirect
637. #123	C₂×D₁₃₁	semidirect
638. #123	C₂×D₁₃₁	semidirect
649. C₂²⋊Q₈	C₂×D₁₃₁	semidirect
674. #121	C₂×D₁₃₁	semidirect
675. #121	C₂×D₁₃₁	semidirect
676. #121	C₂×D₁₃₁	semidirect
695. #120	C₂×D₁₃₁	semidirect
696. #120	C₂×D₁₃₁	semidirect
715. C₄×D₄	C₂×D₁₃₁	semidirect
716. C₄×D₄	C₂×D₁₃₁	semidirect
726. C₂×C₂²⋊C₄	C₂×D₁₃₁	semidirect

Maximal subgroups

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

subgroup	index
#22554058	2
#22554057	2
#22554055	2
#22554054	2
#22554046	2
#22554045	2
#22553972	2
#22553970	2
#22553959	2
#22553958	2
#22553954	2
#22553952	2
#22553951	2
#22553946	2
#22553944	2
#22553930	2
#22553928	2
#22553901	2
#22553896	2
#22553895	2
#22553894	2
#22553878	2
#22553877	2
#22553873	2
#22553872	2
#22553859	2
#22553845	2
#124×D₁₃₁	2
#538×C₁₃₁	2
#3558	131