Subgroups — #27185312

Order 12928.

1166 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	#20265924	C₂	1	1	yes	maximal, characteristic, complemented
2	#20265922	C₂	1	1	yes	maximal, characteristic, complemented
3	#20265916	C₂	1	1	yes	maximal, characteristic, complemented
4	#20265915	C₂	1	1	yes	maximal, characteristic, complemented
5	#20265874	C₂	1	1	yes	maximal, characteristic, complemented
6	#20265872	C₂	1	1	yes	maximal, characteristic, complemented
7	#20265858	C₂	1	1	yes	maximal, characteristic, complemented
8	#20265853	C₂	1	1	yes	maximal, characteristic, complemented
9	#20265824	C₂	1	1	yes	maximal, characteristic, complemented
10	#20265821	C₂	1	1	yes	maximal, characteristic, complemented
11	#20265817	C₂	1	1	yes	maximal, characteristic, complemented
12	#20265814	C₂	1	1	yes	maximal, characteristic, complemented
13	#20265814	C₂	1	1	yes	maximal, characteristic, complemented
14	#20265814	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×C₂²⋊D₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
16	#20265809	C₂	1	1	yes	maximal, characteristic, complemented
17	#20265780	C₂	1	1	yes	maximal, characteristic, complemented
18	#20265777	C₂	1	1	yes	maximal, characteristic, complemented
19	#20265771	C₂	1	1	yes	maximal, characteristic, complemented
20	#20265771	C₂	1	1	yes	maximal, characteristic, complemented
21	#20265770	C₂	1	1	yes	maximal, characteristic, complemented
22	#20265763	C₂	1	1	yes	maximal, characteristic, complemented
23	#20265762	C₂	1	1	yes	maximal, characteristic, complemented
24	#20265759	C₂	1	1	yes	maximal, characteristic, complemented
25	#20265756	C₂	1	1	yes	maximal, characteristic, complemented
26	#20265737	C₂	1	1	yes	maximal, characteristic, complemented
27	#20265736	C₂	1	1	yes	maximal, characteristic, complemented
28	#20265685	C₂	1	1	yes	maximal, characteristic, complemented
29	#123×D₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#15692226	C₂	1	1	yes	maximal, characteristic, complemented
31	#534×C₁₀₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13108074	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13108073	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13108073	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
36	C₂²×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₁₀₁	C₂²	1	1	yes	characteristic
40	C₂×D₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
42	#15692251	C₂²	1	1	yes	characteristic, complemented
43	#15692251	C₂²	1	1	yes	characteristic, complemented
44	#15692250	C₂²	1	1	yes	characteristic, complemented
45	#15692250	C₂²	1	1	yes	characteristic, complemented
46	#15692248	C₂²	1	1	yes	characteristic, complemented
47	#15692248	C₂²	1	1	yes	characteristic, complemented
48	#15692248	C₂²	1	1	yes	characteristic, complemented
49	#15692248	C₂²	1	1	yes	characteristic, complemented
50	#15692248	C₂²	1	1	yes	characteristic, complemented
51	#15692248	C₂²	1	1	yes	characteristic, complemented
52	#15692246	C₂²	1	1	yes	characteristic, complemented
53	#15692246	C₂²	1	1	yes	characteristic, complemented
54	#15692245	C₂²	1	1	yes	characteristic, complemented
55	#15692245	C₂²	1	1	yes	characteristic, complemented
56	#15692242	C₂²	1	1	yes	characteristic, complemented
57	#15692242	C₂²	1	1	yes	characteristic, complemented
58	#15692241	C₂²	1	1	yes	characteristic, complemented
59	#15692241	C₂²	1	1	yes	characteristic, complemented
60	#15692241	C₂²	1	1	yes	characteristic, complemented
61	#15692241	C₂²	1	1	yes	characteristic, complemented
62	#15692240	C₂²	1	1	yes	characteristic, complemented
63	#15692240	C₂²	1	1	yes	characteristic, complemented
64	#15692239	C₂²	1	1	yes	characteristic, complemented
65	#15692239	C₂²	1	1	yes	characteristic, complemented
66	#15692239	C₂²	1	1	yes	characteristic, complemented
67	#15692239	C₂²	1	1	yes	characteristic, complemented
68	#15692238	C₂²	1	1	yes	characteristic, complemented
69	#15692238	C₂²	1	1	yes	characteristic, complemented
70	#15692238	C₂²	1	1	yes	characteristic, complemented
71	#15692238	C₂²	1	1	yes	characteristic, complemented
72	#15692237	C₂²	1	1	yes	characteristic, complemented
73	#15692237	C₂²	1	1	yes	characteristic, complemented
74	#15692237	C₂²	1	1	yes	characteristic, complemented
75	#15692237	C₂²	1	1	yes	characteristic, complemented
76	#15692237	C₂²	1	1	yes	characteristic, complemented
77	#15692237	C₂²	1	1	yes	characteristic, complemented
78	#15692237	C₂²	1	1	yes	characteristic, complemented
79	#15692237	C₂²	1	1	yes	characteristic, complemented
80	#15692236	C₂²	1	1	yes	characteristic, complemented
81	#15692236	C₂²	1	1	yes	characteristic, complemented
82	#15692236	C₂²	1	1	yes	characteristic, complemented
83	#15692236	C₂²	1	1	yes	characteristic, complemented
84	#15692236	C₂²	1	1	yes	characteristic, complemented
85	#15692236	C₂²	1	1	yes	characteristic, complemented
86	#15692235	C₂²	1	1	yes	characteristic, complemented
87	#15692235	C₂²	1	1	yes	characteristic, complemented
88	#15692234	C₂²	1	1	yes	characteristic, complemented
89	#15692234	C₂²	1	1	yes	characteristic, complemented
90	#15692233	C₂²	1	1	yes	characteristic, complemented
91	#15692233	C₂²	1	1	yes	characteristic, complemented
92	#15692232	C₂²	1	1	yes	characteristic, complemented
93	#15692232	C₂²	1	1	yes	characteristic, complemented
94	#15692232	C₂²	1	1	yes	characteristic, complemented
95	#15692232	C₂²	1	1	yes	characteristic, complemented
96	#15692232	C₂²	1	1	yes	characteristic, complemented
97	#15692232	C₂²	1	1	yes	characteristic, complemented
98	#15692229	C₂²	1	1	yes	characteristic, complemented
99	#15692229	C₂²	1	1	yes	characteristic, complemented
100	#15692228	C₂²	1	1	yes	characteristic, complemented
101	#15692228	C₂²	1	1	yes	characteristic, complemented
102	#15692228	C₂²	1	1	yes	characteristic, complemented
103	#15692228	C₂²	1	1	yes	characteristic, complemented
104	#15692228	C₂²	1	1	yes	characteristic, complemented
105	#15692228	C₂²	1	1	yes	characteristic, complemented
106	#15692227	C₂²	1	1	yes	characteristic
107	#15692227	C₂²	1	1	yes	characteristic
108	#15692227	C₂²	1	1	yes	characteristic, complemented
109	#15692227	C₂²	1	1	yes	characteristic, complemented
110	#15692227	C₂²	1	1	yes	characteristic, complemented
111	#15692227	C₂²	1	1	yes	characteristic, complemented
112	#15692227	C₂²	1	1	yes	characteristic, complemented
113	#15692227	C₂²	1	1	yes	characteristic, complemented
114	#15692227	C₂²	1	1	yes	characteristic, complemented
115	#15692227	C₂²	1	1	yes	characteristic, complemented
116	#15692227	C₂²	1	1	yes	characteristic, complemented
117	#15692227	C₂²	1	1	yes	characteristic, complemented
118	#15692226	C₂²	1	1	yes	characteristic
119	#15692226	C₂²	1	1	yes	characteristic, complemented
120	#15692226	C₂²	1	1	yes	characteristic, complemented
121	#15692226	C₂²	1	1	yes	characteristic, complemented
122	#15692226	C₂²	1	1	yes	characteristic, complemented
123	#15692226	C₂²	1	1	yes	characteristic, complemented
124	#15692226	C₂²	1	1	yes	characteristic, complemented
125	#15692226	C₂²	1	1	yes	characteristic, complemented
126	#15692226	C₂²	1	1	yes	characteristic, complemented
127	#15692226	C₂²	1	1	yes	characteristic, complemented
128	#15692226	C₂²	1	1	yes	characteristic, complemented
129	#15692226	C₂²	1	1	yes	characteristic, complemented
130	#15692225	C₂²	1	1	yes	characteristic, complemented
131	#15692225	C₂²	1	1	yes	characteristic, complemented
132	#15692224	C₂²	1	1	yes	characteristic
133	#15692224	C₂²	1	1	yes	characteristic, complemented
134	#15692224	C₂²	1	1	yes	characteristic, complemented
135	#15692224	C₂²	1	1	yes	characteristic, complemented
136	#15692223	C₂²	1	1	yes	characteristic, complemented
137	#15692223	C₂²	1	1	yes	characteristic, complemented
138	#15692223	C₂²	1	1	yes	characteristic, complemented
139	#15692223	C₂²	1	1	yes	characteristic, complemented
140	#15692223	C₂²	1	1	yes	characteristic, complemented
141	#15692223	C₂²	1	1	yes	characteristic, complemented
142	D₄×Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
143	D₄×Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
144	D₄×Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
145	D₄×Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
146	#15692217	C₂²	1	1	yes	characteristic, complemented
147	#15692217	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₂²⋊D₁₀₁	C₂²	1	1	yes	characteristic, complemented
152	#15692215	C₂²	1	1	yes	characteristic, complemented
153	#15692215	C₂²	1	1	yes	characteristic, complemented
154	#15692215	C₂²	1	1	yes	characteristic, complemented
155	#15692215	C₂²	1	1	yes	characteristic, complemented
156	#15692215	C₂²	1	1	yes	characteristic, complemented
157	#15692215	C₂²	1	1	yes	characteristic, complemented
158	#15692214	C₂²	1	1	yes	characteristic, complemented
159	#15692211	C₂²	1	1	yes	characteristic, complemented
160	#15692211	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₄⋊Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
162	C₄⋊C₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
163	C₄⋊C₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₂²⋊Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
165	C₂×C₂²⋊Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
166	C₂×C₂²⋊Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
167	C₂×C₂²⋊Dic₁₀₁	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₁₀₁	C₂²	1	1	yes	characteristic, complemented
172	C₂²×D₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
173	C₂²×D₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
174	#123×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
175	#123×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
176	#123×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
177	#123×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
178	#121×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
179	#121×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
180	#121×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
181	#121×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
182	#120×C₁₀₁	C₂²	1	1	yes	characteristic
183	#120×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
184	#120×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
185	#120×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₂²⋊C₄×C₁₀₁	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₀₁	C₂³	1	1	yes	characteristic
188	C₂³×D₁₀₁	C₂³	1	1	yes	characteristic
189	C₂³×D₁₀₁	C₂³	1	1	yes	characteristic
190	#13108074	—	4	2	no	—
191	#13108073	—	4	2	no	—
192	#13108073	—	4	2	no	—
193	C₂×Dic₂₀₂	C₂³	1	1	yes	characteristic
194	C₂×Dic₂₀₂	C₂³	1	1	yes	characteristic
195	C₂×Dic₂₀₂	C₂³	1	1	yes	characteristic
196	C₂×D₄₀₄	C₂³	1	1	yes	characteristic
197	C₂×D₄₀₄	C₂³	1	1	yes	characteristic
198	C₂×D₄₀₄	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₁₀₁	—	4	2	no	—
200	C₂×C₂²⋊D₁₀₁	—	4	2	no	—
201	C₂×C₂²⋊D₁₀₁	—	4	2	no	—
202	C₂×C₂²⋊D₁₀₁	—	4	2	no	—
203	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊D₁₀₁	C₂³	1	1	yes	characteristic
225	D₄×D₁₀₁	—	4	2	no	—
226	D₄×D₁₀₁	—	4	2	no	—
227	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
228	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
229	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
230	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
233	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
234	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
235	C₂²×Dic₁₀₁	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₁₀₁	—	4	2	no	—
237	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
238	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
239	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
240	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
241	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
242	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
243	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
244	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
245	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
246	C₂×C₄×D₁₀₁	C₂³	1	1	yes	characteristic
247	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
248	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
249	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
250	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
251	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
252	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
253	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
254	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
255	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
256	C₄⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
257	#13108053	C₂³	1	1	yes	characteristic
258	#13108053	C₂³	1	1	yes	characteristic
259	#13108053	C₂³	1	1	yes	characteristic
260	#13108053	C₂³	1	1	yes	characteristic
261	#13108053	C₂³	1	1	yes	characteristic
262	#13108053	C₂³	1	1	yes	characteristic
263	#13108053	C₂³	1	1	yes	characteristic
264	#13108053	C₂³	1	1	yes	characteristic
265	#13108053	C₂³	1	1	yes	characteristic
266	#13108053	C₂³	1	1	yes	characteristic
267	#13108053	C₂³	1	1	yes	characteristic
268	#13108053	C₂³	1	1	yes	characteristic
269	#13108053	C₂³	1	1	yes	characteristic
270	#13108053	C₂³	1	1	yes	characteristic
271	#13108053	C₂³	1	1	yes	characteristic
272	#13108053	C₂³	1	1	yes	characteristic
273	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
274	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
275	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
282	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
283	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
284	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
285	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
286	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
287	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
288	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
289	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
290	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
291	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
292	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
293	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
294	C₂²⋊Dic₁₀₁	C₂³	1	1	yes	characteristic
295	#13108051	C₂³	1	1	yes	characteristic
296	#13108051	C₂³	1	1	yes	characteristic
297	#13108051	C₂³	1	1	yes	characteristic
298	#13108051	C₂³	1	1	yes	characteristic
299	#13108051	C₂³	1	1	yes	characteristic
300	#13108051	C₂³	1	1	yes	characteristic
301	#13108051	C₂³	1	1	yes	characteristic
302	#13108051	C₂³	1	1	yes	characteristic
303	#13108051	C₂³	1	1	yes	characteristic
304	#13108051	C₂³	1	1	yes	characteristic
305	#13108051	C₂³	1	1	yes	characteristic
306	#13108051	C₂³	1	1	yes	characteristic
307	#13108051	C₂³	1	1	yes	characteristic
308	#13108051	C₂³	1	1	yes	characteristic
309	#13108051	C₂³	1	1	yes	characteristic
310	#13108051	C₂³	1	1	yes	characteristic
311	C₄×Dic₁₀₁	C₂³	1	1	yes	characteristic
312	C₄×Dic₁₀₁	C₂³	1	1	yes	characteristic
313	C₄×Dic₁₀₁	C₂³	1	1	yes	characteristic
314	C₄×Dic₁₀₁	C₂³	1	1	yes	characteristic
315	C₄×Dic₁₀₁	C₂³	1	1	yes	characteristic
316	C₄×Dic₁₀₁	C₂³	1	1	yes	characteristic
317	C₂⁴×C₁₀₁	C₂³	1	1	yes	characteristic
318	C₂⁴×C₁₀₁	C₂³	1	1	yes	characteristic
319	C₂⁴×C₁₀₁	C₂³	1	1	yes	characteristic
320	C₂×D₄×C₁₀₁	—	4	2	no	—
321	C₂×D₄×C₁₀₁	—	4	2	no	—
322	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
323	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
324	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
325	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
326	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
327	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
328	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
329	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
330	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
331	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
332	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
333	C₂×D₄×C₁₀₁	C₂³	1	1	yes	characteristic
334	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
335	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
336	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
337	C₂²×C₄×C₁₀₁	C₂³	1	1	yes	characteristic
338	C₄⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
339	C₄⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
340	C₄⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
341	C₄⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
342	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
343	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
344	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
345	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
346	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
347	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
348	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
349	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
350	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
351	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
352	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
353	C₂²⋊C₄×C₁₀₁	C₂³	1	1	yes	characteristic
354	C₂³×C₁₀₁	—	2	2	no	—
355	C₂³×C₁₀₁	—	2	2	no	—
356	C₂³×C₁₀₁	—	4	1	no	—
357	C₂³×C₁₀₁	—	4	1	no	—
358	C₂³×C₁₀₁	—	4	1	no	—
359	C₂³×C₁₀₁	—	4	1	no	—
360	C₂³×C₁₀₁	—	4	1	no	—
361	C₂³×C₁₀₁	—	4	1	no	—
362	C₂³×C₁₀₁	—	4	1	no	—
363	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
364	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
365	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
366	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
367	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
368	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
369	C₂³×C₁₀₁	C₂⁴	1	1	yes	characteristic
370	C₂²×D₁₀₁	—	2	2	no	—
371	C₂²×D₁₀₁	—	2	2	no	—
372	C₂²×D₁₀₁	—	2	2	no	—
373	C₂²×D₁₀₁	—	4	1	no	—
374	C₂²×D₁₀₁	—	4	1	no	—
375	C₂²×D₁₀₁	—	4	1	no	—
376	C₂²×D₁₀₁	—	4	1	no	—
377	C₂²×D₁₀₁	—	4	1	no	—
378	C₂²×D₁₀₁	—	4	1	no	—
379	C₂²×D₁₀₁	C₂⁴	1	1	yes	characteristic
380	C₂²×D₁₀₁	C₂⁴	1	1	yes	characteristic
381	C₂²×D₁₀₁	C₂⁴	1	1	yes	characteristic
382	C₂²×D₁₀₁	C₂⁴	1	1	yes	characteristic
383	D₄×C₁₀₁	—	2	2	no	—
384	D₄×C₁₀₁	—	2	2	no	—
385	D₄×C₁₀₁	—	4	1	no	—
386	D₄×C₁₀₁	—	4	1	no	—
387	D₄×C₁₀₁	—	4	1	no	—
388	D₄×C₁₀₁	—	4	1	no	—
389	D₄×C₁₀₁	—	4	1	no	—
390	D₄×C₁₀₁	—	4	1	no	—
391	D₄×C₁₀₁	—	4	1	no	—
392	D₄×C₁₀₁	—	4	1	no	—
393	D₄×C₁₀₁	—	4	1	no	—
394	D₄×C₁₀₁	—	4	1	no	—
395	C₂×C₄×C₁₀₁	—	2	2	no	—
396	C₂×C₄×C₁₀₁	—	4	1	no	—
397	C₂×C₄×C₁₀₁	—	4	1	no	—
398	C₂×C₄×C₁₀₁	—	4	1	no	—
399	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
400	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
403	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
404	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
405	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
406	C₂×C₄×C₁₀₁	C₂⁴	1	1	yes	characteristic
407	C₂²⋊D₁₀₁	—	2	2	no	—
408	C₂²⋊D₁₀₁	—	2	2	no	—
409	C₂²⋊D₁₀₁	—	2	2	no	—
410	C₂²⋊D₁₀₁	—	2	2	no	—
411	C₂²⋊D₁₀₁	—	2	2	no	—
412	C₂²⋊D₁₀₁	—	2	2	no	—
413	C₂²⋊D₁₀₁	—	2	2	no	—
414	C₂²⋊D₁₀₁	—	4	1	no	—
415	C₂²⋊D₁₀₁	—	4	1	no	—
416	C₂²⋊D₁₀₁	—	4	1	no	—
417	C₂²⋊D₁₀₁	—	4	1	no	—
418	C₂²⋊D₁₀₁	—	4	1	no	—
419	C₂²⋊D₁₀₁	—	4	1	no	—
420	C₂²⋊D₁₀₁	—	4	1	no	—
421	C₂²⋊D₁₀₁	—	4	1	no	—
422	C₂²⋊D₁₀₁	—	4	1	no	—
423	C₂²⋊D₁₀₁	—	4	1	no	—
424	C₂²⋊D₁₀₁	—	4	1	no	—
425	C₂²⋊D₁₀₁	—	4	1	no	—
426	C₂²⋊D₁₀₁	—	4	1	no	—
427	C₂²⋊D₁₀₁	—	4	1	no	—
428	C₂²⋊D₁₀₁	—	4	1	no	—
429	C₂×Dic₁₀₁	—	2	2	no	—
430	C₂×Dic₁₀₁	—	4	1	no	—
431	C₂×Dic₁₀₁	—	4	1	no	—
432	C₂×Dic₁₀₁	—	4	1	no	—
433	C₂×Dic₁₀₁	—	4	1	no	—
434	C₂×Dic₁₀₁	—	4	1	no	—
435	C₂×Dic₁₀₁	—	4	1	no	—
436	C₂×Dic₁₀₁	—	4	1	no	—
437	C₂×Dic₁₀₁	—	4	1	no	—
438	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
439	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
440	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
441	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
442	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
443	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
444	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
445	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
446	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
447	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
448	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
449	C₂×Dic₁₀₁	C₂⁴	1	1	yes	characteristic
450	D₄₀₄	—	2	2	no	—
451	D₄₀₄	—	4	1	no	—
452	D₄₀₄	—	4	1	no	—
453	C₄×D₁₀₁	—	2	2	no	—
454	C₄×D₁₀₁	—	4	1	no	—
455	C₄×D₁₀₁	—	4	1	no	—
456	C₄×D₁₀₁	—	4	1	no	—
457	C₄×D₁₀₁	—	4	1	no	—
458	C₄×D₁₀₁	—	4	1	no	—
459	C₄×D₁₀₁	—	4	1	no	—
460	C₄×D₁₀₁	—	4	1	no	—
461	C₄×D₁₀₁	—	4	1	no	—
462	C₄×D₁₀₁	—	4	1	no	—
463	Dic₂₀₂	—	4	1	no	—
464	Dic₂₀₂	—	4	1	no	—
465	Dic₂₀₂	—	4	1	no	—
466	C₂²×C₁₀₁	—	2	1	no	—
467	C₂²×C₁₀₁	—	2	1	no	—
468	C₂²×C₁₀₁	—	2	1	no	—
469	C₂²×C₁₀₁	—	2	1	no	—
470	C₂²×C₁₀₁	—	2	1	no	—
471	C₂²×C₁₀₁	—	2	1	no	—
472	C₂²×C₁₀₁	—	2	1	no	—
473	C₂²×C₁₀₁	—	2	1	no	—
474	C₂²×C₁₀₁	—	2	1	no	—
475	C₂²×C₁₀₁	—	2	1	no	—
476	C₂²×C₁₀₁	—	2	1	no	—
477	C₂²×C₁₀₁	—	2	1	no	—
478	C₂²×C₁₀₁	—	2	1	no	—
479	C₂²×C₁₀₁	—	2	1	no	—
480	C₂²×C₁₀₁	—	2	1	no	—
481	C₂²×C₁₀₁	—	2	1	no	—
482	C₂²×C₁₀₁	—	2	1	no	—
483	C₂²×C₁₀₁	—	2	1	no	—
484	C₂²×C₁₀₁	—	2	1	no	—
485	C₂²×C₁₀₁	—	2	1	no	—
486	C₂²×C₁₀₁	—	8	2	no	—
487	C₂²×C₁₀₁	—	8	2	no	—
488	C₂²×C₁₀₁	—	8	2	no	—
489	C₂²×C₁₀₁	H(5,𝔽₂)	1	2	yes	—
490	C₂²×C₁₀₁	C₂⁵	1	1	yes	characteristic
491	C₂×D₁₀₁	—	2	1	no	—
492	C₂×D₁₀₁	—	2	1	no	—
493	C₂×D₁₀₁	—	2	1	no	—
494	C₂×D₁₀₁	—	2	1	no	—
495	C₂×D₁₀₁	—	2	1	no	—
496	C₂×D₁₀₁	—	2	1	no	—
497	C₂×D₁₀₁	—	2	1	no	—
498	C₂×D₁₀₁	—	2	1	no	—
499	C₂×D₁₀₁	—	2	1	no	—
500	C₂×D₁₀₁	—	2	1	no	—
501	C₂×D₁₀₁	—	2	1	no	—
502	C₂×D₁₀₁	—	4	4	no	—
503	C₂×D₁₀₁	—	8	2	no	—
504	C₂×D₁₀₁	—	8	2	no	—
505	C₂×D₁₀₁	H(5,𝔽₂)	1	2	yes	—
506	C₄×C₁₀₁	—	2	1	no	—
507	C₄×C₁₀₁	—	2	1	no	—
508	C₄×C₁₀₁	—	2	1	no	—
509	C₄×C₁₀₁	—	2	1	no	—
510	C₄×C₁₀₁	—	2	1	no	—
511	C₄×C₁₀₁	—	2	1	no	—
512	C₄×C₁₀₁	—	2	1	no	—
513	C₄×C₁₀₁	—	2	1	no	—
514	Dic₁₀₁	—	2	1	no	—
515	Dic₁₀₁	—	2	1	no	—
516	Dic₁₀₁	—	2	1	no	—
517	Dic₁₀₁	—	2	1	no	—
518	Dic₁₀₁	—	2	1	no	—
519	Dic₁₀₁	—	2	1	no	—
520	Dic₁₀₁	—	2	1	no	—
521	Dic₁₀₁	—	2	1	no	—
522	Dic₁₀₁	—	2	1	no	—
523	Dic₁₀₁	—	2	1	no	—
524	Dic₁₀₁	—	2	1	no	—
525	Dic₁₀₁	—	2	1	no	—
526	C₂×C₁₀₁	—	2	2	no	—
527	C₂×C₁₀₁	—	4	1	no	—
528	C₂×C₁₀₁	—	4	1	no	—
529	C₂×C₁₀₁	—	4	1	no	—
530	C₂×C₁₀₁	—	4	1	no	—
531	C₂×C₁₀₁	—	4	1	no	—
532	C₂×C₁₀₁	—	4	1	no	—
533	C₂×C₁₀₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
534	C₂×C₁₀₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
535	C₂×C₁₀₁	#585	1	1	yes	characteristic
536	D₁₀₁	—	2	2	no	—
537	D₁₀₁	—	4	1	no	—
538	D₁₀₁	—	4	1	no	—
539	D₁₀₁	—	4	1	no	—
540	#3534	—	101	1	no	maximal, Sylow
541	C₁₀₁	#3534	1	1	yes	characteristic, complemented, Sylow
542	#562	—	101	1	no	—
543	#562	—	101	1	no	—
544	#560	—	101	1	no	—
545	#560	—	101	1	no	—
546	#553	—	101	1	no	—
547	#553	—	101	1	no	—
548	#551	—	101	1	no	—
549	#551	—	101	1	no	—
550	#546	—	101	1	no	—
551	#546	—	101	1	no	—
552	#546	—	101	1	no	—
553	#546	—	101	1	no	—
554	#546	—	101	1	no	—
555	#546	—	101	1	no	—
556	D₄²	—	101	1	no	—
557	D₄²	—	101	1	no	—
558	#540	—	101	1	no	—
559	#540	—	101	1	no	—
560	#539	—	101	1	no	—
561	#539	—	101	1	no	—
562	#539	—	101	1	no	—
563	#538	—	101	1	no	—
564	#538	—	101	1	no	—
565	#538	—	101	1	no	—
566	#537	—	101	1	no	—
567	#534	—	101	1	no	—
568	#534	—	101	1	no	—
569	#534	D₁₀₁	1	1	yes	characteristic, complemented
570	#525	—	101	1	no	—
571	C₂×#123	—	101	1	no	—
572	C₂×#121	—	101	1	no	—
573	C₂×#41	—	101	1	no	—
574	C₂×#41	—	101	1	no	—
575	C₂×#41	—	101	1	no	—
576	C₂²×D₄	—	101	1	no	—
577	C₂²×D₄	—	101	1	no	—
578	C₂²×D₄	—	101	1	no	—
579	C₂²×D₄	—	101	1	no	—
580	C₂²×D₄	—	101	1	no	—
581	C₂²×D₄	—	101	1	no	—
582	C₂²×D₄	C₂×D₁₀₁	1	1	yes	characteristic, complemented
583	C₂²×D₄	C₂×D₁₀₁	1	1	yes	characteristic, complemented
584	C₂³×C₄	—	101	1	no	—
585	#127	—	101	1	no	—
586	#127	—	101	1	no	—
587	#126	—	101	1	no	—
588	#126	—	101	1	no	—
589	#126	—	101	1	no	—
590	#126	—	101	1	no	—
591	#126	—	101	1	no	—
592	#126	—	101	1	no	—
593	#126	—	101	1	no	—
594	#126	—	101	1	no	—
595	#125	—	101	1	no	—
596	#125	—	101	1	no	—
597	#125	—	101	1	no	—
598	#125	—	101	1	no	—
599	#124	—	101	1	no	—
600	#124	—	101	1	no	—
601	#124	—	101	1	no	—
602	#124	—	101	1	no	—
603	#124	—	101	1	no	—
604	#124	—	101	1	no	—
605	#123	—	101	1	no	—
606	#123	—	101	1	no	—
607	#123	—	101	1	no	—
608	#123	—	101	1	no	—
609	#123	—	101	1	no	—
610	#123	—	101	1	no	—
611	#123	—	101	1	no	—
612	#123	—	101	1	no	—
613	#123	—	101	1	no	—
614	#123	—	101	1	no	—
615	#123	—	101	1	no	—
616	#123	—	101	1	no	—
617	#123	—	101	1	no	—
618	#123	—	101	1	no	—
619	#123	—	101	1	no	—
620	#123	—	101	1	no	—
621	#123	—	101	1	no	—
622	#123	—	101	1	no	—
623	#123	—	101	1	no	—
624	#123	—	101	1	no	—
625	#123	—	101	1	no	—
626	#123	—	101	1	no	—
627	#123	—	101	1	no	—
628	#123	—	101	1	no	—
629	#123	C₂×D₁₀₁	1	1	yes	characteristic, complemented
630	#123	C₂×D₁₀₁	1	1	yes	characteristic, complemented
631	#123	C₂×D₁₀₁	1	1	yes	characteristic, complemented
632	#123	C₂×D₁₀₁	1	1	yes	characteristic, complemented
633	C₂²⋊Q₈	—	101	1	no	—
634	C₂²⋊Q₈	—	101	1	no	—
635	C₂²⋊Q₈	—	101	1	no	—
636	C₂²⋊Q₈	—	101	1	no	—
637	C₂²⋊Q₈	—	101	1	no	—
638	C₂²⋊Q₈	—	101	1	no	—
639	C₂²⋊Q₈	—	101	1	no	—
640	C₂²⋊Q₈	—	101	1	no	—
641	C₂²⋊Q₈	—	101	1	no	—
642	C₂²⋊Q₈	—	101	1	no	—
643	C₂²⋊Q₈	—	101	1	no	—
644	C₂²⋊Q₈	—	101	1	no	—
645	#121	—	101	1	no	—
646	#121	—	101	1	no	—
647	#121	—	101	1	no	—
648	#121	—	101	1	no	—
649	#121	—	101	1	no	—
650	#121	—	101	1	no	—
651	#121	—	101	1	no	—
652	#121	—	101	1	no	—
653	#121	—	101	1	no	—
654	#121	—	101	1	no	—
655	#121	—	101	1	no	—
656	#121	—	101	1	no	—
657	#121	—	101	1	no	—
658	#121	—	101	1	no	—
659	#121	—	101	1	no	—
660	#121	—	101	1	no	—
661	#121	—	101	1	no	—
662	#121	—	101	1	no	—
663	#121	—	101	1	no	—
664	#121	—	101	1	no	—
665	#121	—	101	1	no	—
666	#121	—	101	1	no	—
667	#121	—	101	1	no	—
668	#121	—	101	1	no	—
669	#121	—	101	1	no	—
670	#121	—	101	1	no	—
671	#121	—	101	1	no	—
672	#121	—	101	1	no	—
673	#121	—	101	1	no	—
674	#121	—	101	1	no	—
675	#121	—	101	1	no	—
676	#121	—	101	1	no	—
677	#121	C₂×D₁₀₁	1	1	yes	characteristic, complemented
678	#121	C₂×D₁₀₁	1	1	yes	characteristic, complemented
679	#121	C₂×D₁₀₁	1	1	yes	characteristic, complemented
680	#121	C₂×D₁₀₁	1	1	yes	characteristic, complemented
681	#120	—	101	1	no	—
682	#120	—	101	1	no	—
683	#120	—	101	1	no	—
684	#120	—	101	1	no	—
685	#120	—	101	1	no	—
686	#120	—	101	1	no	—
687	#120	—	101	1	no	—
688	#120	—	101	1	no	—
689	#120	—	101	1	no	—
690	#120	—	101	1	no	—
691	#120	—	101	1	no	—
692	#120	—	101	1	no	—
693	#120	C₂×D₁₀₁	1	1	yes	characteristic
694	#120	C₂×D₁₀₁	1	1	yes	characteristic, complemented
695	#120	C₂×D₁₀₁	1	1	yes	characteristic, complemented
696	#120	C₂×D₁₀₁	1	1	yes	characteristic, complemented
697	C₄×D₄	—	101	1	no	—
698	C₄×D₄	—	101	1	no	—
699	C₄×D₄	—	101	1	no	—
700	C₄×D₄	—	101	1	no	—
701	C₄×D₄	—	101	1	no	—
702	C₄×D₄	—	101	1	no	—
703	C₄×D₄	—	101	1	no	—
704	C₄×D₄	—	101	1	no	—
705	C₄×D₄	—	101	1	no	—
706	C₄×D₄	—	101	1	no	—
707	C₄×D₄	—	101	1	no	—
708	C₄×D₄	—	101	1	no	—
709	C₄×D₄	—	101	1	no	—
710	C₄×D₄	—	101	1	no	—
711	C₄×D₄	—	101	1	no	—
712	C₄×D₄	—	101	1	no	—
713	#117	—	101	1	no	—
714	#117	—	101	1	no	—
715	#117	—	101	1	no	—
716	C₂×C₄⋊C₄	—	101	1	no	—
717	C₂×C₄⋊C₄	—	101	1	no	—
718	C₂×C₄⋊C₄	—	101	1	no	—
719	C₂×C₂²⋊C₄	—	101	1	no	—
720	C₂×C₂²⋊C₄	—	101	1	no	—
721	C₂×C₂²⋊C₄	—	101	1	no	—
722	C₂×C₂²⋊C₄	—	101	1	no	—
723	C₂×C₂²⋊C₄	—	101	1	no	—
724	C₂×C₂²⋊C₄	—	101	1	no	—
725	C₂×C₂²⋊C₄	—	101	1	no	—
726	C₂×C₂²⋊C₄	—	101	1	no	—
727	C₂×C₂²⋊C₄	C₂×D₁₀₁	1	1	yes	characteristic, complemented
728	C₂⁴	—	101	1	no	—
729	C₂⁴	—	101	1	no	—
730	C₂⁴	—	101	1	no	—
731	C₂⁴	C₂²×D₁₀₁	1	1	yes	characteristic
732	C₂⁴	C₂²×D₁₀₁	1	1	yes	characteristic
733	C₂⁴	C₂²×D₁₀₁	1	1	yes	characteristic
734	#41	—	404	2	no	—
735	#41	—	404	2	no	—
736	#41	—	404	2	no	—
737	C₂×Q₈	—	101	1	no	—
738	C₂×Q₈	—	101	1	no	—
739	C₂×Q₈	—	101	1	no	—
740	C₂×D₄	—	4	2	no	—
741	C₂×D₄	—	4	2	no	—
742	C₂×D₄	—	101	1	no	—
743	C₂×D₄	—	101	1	no	—
744	C₂×D₄	—	101	1	no	—
745	C₂×D₄	—	101	1	no	—
746	C₂×D₄	—	101	1	no	—
747	C₂×D₄	—	101	1	no	—
748	C₂×D₄	—	101	1	no	—
749	C₂×D₄	—	101	1	no	—
750	C₂×D₄	—	101	1	no	—
751	C₂×D₄	—	101	1	no	—
752	C₂×D₄	—	101	1	no	—
753	C₂×D₄	—	101	1	no	—
754	C₂×D₄	—	101	1	no	—
755	C₂×D₄	—	101	1	no	—
756	C₂×D₄	—	101	1	no	—
757	C₂×D₄	—	101	1	no	—
758	C₂×D₄	—	101	1	no	—
759	C₂×D₄	—	101	1	no	—
760	C₂×D₄	—	101	1	no	—
761	C₂×D₄	—	101	1	no	—
762	C₂×D₄	—	101	1	no	—
763	C₂×D₄	—	101	1	no	—
764	C₂×D₄	—	101	1	no	—
765	C₂×D₄	—	101	1	no	—
766	C₂×D₄	—	101	1	no	—
767	C₂×D₄	—	404	2	no	—
768	C₂×D₄	—	404	2	no	—
769	C₂×D₄	—	404	2	no	—
770	C₂×D₄	—	404	2	no	—
771	C₂×D₄	—	404	2	no	—
772	C₂×D₄	—	404	2	no	—
773	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
774	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
775	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
776	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
777	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
778	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
779	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
780	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
781	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
782	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
783	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
784	C₂×D₄	C₂²×D₁₀₁	1	1	yes	characteristic
785	C₂²×C₄	—	101	1	no	—
786	C₂²×C₄	—	101	1	no	—
787	C₂²×C₄	—	101	1	no	—
788	C₂²×C₄	—	101	1	no	—
789	C₂²×C₄	—	101	1	no	—
790	C₂²×C₄	—	101	1	no	—
791	C₂²×C₄	—	101	1	no	—
792	C₂²×C₄	—	101	1	no	—
793	C₂²×C₄	—	101	1	no	—
794	C₂²×C₄	—	101	1	no	—
795	C₂²×C₄	—	101	1	no	—
796	C₂²×C₄	—	101	1	no	—
797	C₂²×C₄	—	101	1	no	—
798	C₂²×C₄	—	101	1	no	—
799	C₂²×C₄	—	101	1	no	—
800	C₂²×C₄	—	101	1	no	—
801	C₂²×C₄	—	101	1	no	—
802	C₂²×C₄	—	101	1	no	—
803	C₂²×C₄	—	101	1	no	—
804	C₂²×C₄	—	404	2	no	—
805	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
806	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
807	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
808	C₂²×C₄	C₂²×D₁₀₁	1	1	yes	characteristic
809	C₄⋊C₄	—	101	1	no	—
810	C₄⋊C₄	—	101	1	no	—
811	C₄⋊C₄	—	101	1	no	—
812	C₄⋊C₄	—	101	1	no	—
813	C₄⋊C₄	—	101	1	no	—
814	C₄⋊C₄	—	101	1	no	—
815	C₄⋊C₄	—	101	1	no	—
816	C₄⋊C₄	—	101	1	no	—
817	C₄⋊C₄	—	101	1	no	—
818	C₄⋊C₄	—	101	1	no	—
819	C₄⋊C₄	—	101	1	no	—
820	C₄⋊C₄	—	101	1	no	—
821	C₄⋊C₄	—	101	1	no	—
822	C₄⋊C₄	—	101	1	no	—
823	C₄⋊C₄	—	101	1	no	—
824	C₄⋊C₄	—	101	1	no	—
825	C₄⋊C₄	—	101	1	no	—
826	C₄⋊C₄	—	101	1	no	—
827	C₄⋊C₄	—	101	1	no	—
828	C₄⋊C₄	—	101	1	no	—
829	C₄⋊C₄	—	101	1	no	—
830	C₄⋊C₄	—	101	1	no	—
831	C₄⋊C₄	—	101	1	no	—
832	C₄⋊C₄	—	101	1	no	—
833	C₄⋊C₄	—	101	1	no	—
834	C₄⋊C₄	—	101	1	no	—
835	C₄⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
836	C₄⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
837	C₄⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
838	C₄⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
839	C₂²⋊C₄	—	101	1	no	—
840	C₂²⋊C₄	—	101	1	no	—
841	C₂²⋊C₄	—	101	1	no	—
842	C₂²⋊C₄	—	101	1	no	—
843	C₂²⋊C₄	—	101	1	no	—
844	C₂²⋊C₄	—	101	1	no	—
845	C₂²⋊C₄	—	101	1	no	—
846	C₂²⋊C₄	—	101	1	no	—
847	C₂²⋊C₄	—	101	1	no	—
848	C₂²⋊C₄	—	101	1	no	—
849	C₂²⋊C₄	—	101	1	no	—
850	C₂²⋊C₄	—	101	1	no	—
851	C₂²⋊C₄	—	101	1	no	—
852	C₂²⋊C₄	—	101	1	no	—
853	C₂²⋊C₄	—	101	1	no	—
854	C₂²⋊C₄	—	101	1	no	—
855	C₂²⋊C₄	—	101	1	no	—
856	C₂²⋊C₄	—	101	1	no	—
857	C₂²⋊C₄	—	101	1	no	—
858	C₂²⋊C₄	—	101	1	no	—
859	C₂²⋊C₄	—	101	1	no	—
860	C₂²⋊C₄	—	101	1	no	—
861	C₂²⋊C₄	—	101	1	no	—
862	C₂²⋊C₄	—	101	1	no	—
863	C₂²⋊C₄	—	101	1	no	—
864	C₂²⋊C₄	—	101	1	no	—
865	C₂²⋊C₄	—	101	1	no	—
866	C₂²⋊C₄	—	101	1	no	—
867	C₂²⋊C₄	—	101	1	no	—
868	C₂²⋊C₄	—	101	1	no	—
869	C₂²⋊C₄	—	101	1	no	—
870	C₂²⋊C₄	—	101	1	no	—
871	C₂²⋊C₄	—	101	1	no	—
872	C₂²⋊C₄	—	101	1	no	—
873	C₂²⋊C₄	—	101	1	no	—
874	C₂²⋊C₄	—	101	1	no	—
875	C₂²⋊C₄	—	101	1	no	—
876	C₂²⋊C₄	—	101	1	no	—
877	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
878	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
879	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
880	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
881	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
882	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
883	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
884	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
885	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
886	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
887	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
888	C₂²⋊C₄	C₂²×D₁₀₁	1	1	yes	characteristic
889	C₄²	—	101	1	no	—
890	C₄²	—	101	1	no	—
891	C₄²	—	101	1	no	—
892	C₄²	—	101	1	no	—
893	C₄²	—	101	1	no	—
894	C₄²	—	101	1	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	4	1	no	—
898	C₂³	—	4	1	no	—
899	C₂³	—	4	1	no	—
900	C₂³	—	4	1	no	—
901	C₂³	—	4	1	no	—
902	C₂³	—	4	1	no	—
903	C₂³	—	4	1	no	—
904	C₂³	—	101	1	no	—
905	C₂³	—	101	1	no	—
906	C₂³	—	101	1	no	—
907	C₂³	—	101	1	no	—
908	C₂³	—	404	1	no	—
909	C₂³	—	404	1	no	—
910	C₂³	—	404	1	no	—
911	C₂³	—	404	1	no	—
912	C₂³	—	404	1	no	—
913	C₂³	—	404	1	no	—
914	C₂³	—	202	2	no	—
915	C₂³	—	202	2	no	—
916	C₂³	—	202	2	no	—
917	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
918	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
919	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
920	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
921	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
922	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
923	C₂³	C₂³×D₁₀₁	1	1	yes	characteristic
924	Q₈	—	404	1	no	—
925	Q₈	—	404	1	no	—
926	Q₈	—	404	1	no	—
927	D₄	—	2	2	no	—
928	D₄	—	2	2	no	—
929	D₄	—	4	1	no	—
930	D₄	—	4	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	—	4	1	no	—
939	D₄	—	404	1	no	—
940	D₄	—	404	1	no	—
941	D₄	—	404	1	no	—
942	D₄	—	404	1	no	—
943	D₄	—	404	1	no	—
944	D₄	—	404	1	no	—
945	D₄	—	404	1	no	—
946	D₄	—	404	1	no	—
947	D₄	—	404	1	no	—
948	D₄	—	404	1	no	—
949	D₄	—	404	1	no	—
950	D₄	—	404	1	no	—
951	D₄	—	404	1	no	—
952	D₄	—	404	1	no	—
953	D₄	—	404	1	no	—
954	D₄	—	404	1	no	—
955	D₄	—	404	1	no	—
956	D₄	—	202	2	no	—
957	D₄	—	202	2	no	—
958	D₄	—	202	2	no	—
959	D₄	—	202	2	no	—
960	D₄	—	202	2	no	—
961	D₄	—	202	2	no	—
962	D₄	—	202	2	no	—
963	D₄	—	202	2	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	4	1	no	—
966	C₂×C₄	—	4	1	no	—
967	C₂×C₄	—	4	1	no	—
968	C₂×C₄	—	101	1	no	—
969	C₂×C₄	—	101	1	no	—
970	C₂×C₄	—	101	1	no	—
971	C₂×C₄	—	101	1	no	—
972	C₂×C₄	—	101	1	no	—
973	C₂×C₄	—	101	1	no	—
974	C₂×C₄	—	101	1	no	—
975	C₂×C₄	—	101	1	no	—
976	C₂×C₄	—	101	1	no	—
977	C₂×C₄	—	101	1	no	—
978	C₂×C₄	—	101	1	no	—
979	C₂×C₄	—	101	1	no	—
980	C₂×C₄	—	404	1	no	—
981	C₂×C₄	—	404	1	no	—
982	C₂×C₄	—	404	1	no	—
983	C₂×C₄	—	404	1	no	—
984	C₂×C₄	—	404	1	no	—
985	C₂×C₄	—	404	1	no	—
986	C₂×C₄	—	404	1	no	—
987	C₂×C₄	—	404	1	no	—
988	C₂×C₄	—	404	1	no	—
989	C₂×C₄	—	404	1	no	—
990	C₂×C₄	—	404	1	no	—
991	C₂×C₄	—	404	1	no	—
992	C₂×C₄	—	404	1	no	—
993	C₂×C₄	—	404	1	no	—
994	C₂×C₄	—	404	1	no	—
995	C₂×C₄	—	404	1	no	—
996	C₂×C₄	—	404	1	no	—
997	C₂×C₄	—	202	2	no	—
998	C₂×C₄	—	202	2	no	—
999	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
1000	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
1001	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
1002	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
1003	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
1004	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
1005	C₂×C₄	C₂³×D₁₀₁	1	1	yes	characteristic
1006	C₂×C₄	C₂³×D₁₀₁	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	—	2	1	no	—
1023	C₂²	—	2	1	no	—
1024	C₂²	—	2	1	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	1	no	—
1027	C₂²	—	8	2	no	—
1028	C₂²	—	8	2	no	—
1029	C₂²	—	8	2	no	—
1030	C₂²	—	808	2	no	—
1031	C₂²	—	808	2	no	—
1032	C₂²	—	101	2	no	—
1033	C₂²	—	404	4	no	—
1034	C₂²	—	202	1	no	—
1035	C₂²	—	202	1	no	—
1036	C₂²	—	202	1	no	—
1037	C₂²	—	202	1	no	—
1038	C₂²	—	202	1	no	—
1039	C₂²	—	202	1	no	—
1040	C₂²	—	202	1	no	—
1041	C₂²	—	202	1	no	—
1042	C₂²	—	202	1	no	—
1043	C₂²	—	202	1	no	—
1044	C₂²	—	202	1	no	—
1045	C₂²	#15692300	1	2	yes	—
1046	C₂²	C₂⁴×D₁₀₁	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	—	202	1	no	—
1056	C₄	—	202	1	no	—
1057	C₄	—	202	1	no	—
1058	C₄	—	202	1	no	—
1059	C₄	—	202	1	no	—
1060	C₄	—	202	1	no	—
1061	C₄	—	202	1	no	—
1062	C₄	—	202	1	no	—
1063	C₄	—	202	1	no	—
1064	C₄	—	202	1	no	—
1065	C₄	—	202	1	no	—
1066	C₄	—	202	1	no	—
1067	C₂	—	2	2	no	—
1068	C₂	—	4	1	no	—
1069	C₂	—	4	1	no	—
1070	C₂	—	4	1	no	—
1071	C₂	—	4	1	no	—
1072	C₂	—	4	1	no	—
1073	C₂	—	4	1	no	—
1074	C₂	—	404	1	no	—
1075	C₂	—	404	1	no	—
1076	C₂	—	404	1	no	—
1077	C₂	—	202	2	no	—
1078	C₂	H(5,𝔽₂)×D₁₀₁	1	1	yes	characteristic
1079	C₂	C₂×#15692300	1	1	yes	characteristic
1080	C₂	#20266012	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₀₁
commutator, socle, cosocle	C₂²×C₁₀₁	C₂⁵
Fitting	#534×C₁₀₁	C₂
hypercenter	#534	D₁₀₁
hypocenter	C₁₀₁	#3534
LCS	G ▷ C₂²×C₁₀₁ ▷ C₁₀₁
UCS	C₁ ◁ C₂² ◁ #534

Complements

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

N	H ≅ G/N	type
1. #20265924	C₂	semidirect
2. #20265922	C₂	semidirect
3. #20265916	C₂	semidirect
4. #20265915	C₂	semidirect
5. #20265874	C₂	semidirect
6. #20265872	C₂	semidirect
7. #20265858	C₂	semidirect
8. #20265853	C₂	semidirect
9. #20265824	C₂	semidirect
10. #20265821	C₂	semidirect
11. #20265817	C₂	semidirect
12. #20265814	C₂	semidirect
13. #20265814	C₂	semidirect
14. #20265814	C₂	semidirect
15. D₄×C₂²⋊D₁₀₁	C₂	semidirect
16. #20265809	C₂	semidirect
17. #20265780	C₂	semidirect
18. #20265777	C₂	semidirect
19. #20265771	C₂	semidirect
20. #20265771	C₂	semidirect
21. #20265770	C₂	semidirect
22. #20265763	C₂	semidirect
23. #20265762	C₂	semidirect
24. #20265759	C₂	semidirect
25. #20265756	C₂	semidirect
26. #20265737	C₂	semidirect
27. #20265736	C₂	semidirect
28. #20265685	C₂	semidirect
29. #123×D₁₀₁	C₂	semidirect
30. C₂×#15692226	C₂	semidirect
31. #534×C₁₀₁	C₂	semidirect
32. C₂×#13108074	C₂²	semidirect
33. C₂×#13108073	C₂²	semidirect
34. C₂×#13108073	C₂²	semidirect
35. C₂²×C₂²⋊D₁₀₁	C₂²	semidirect
36. C₂²×C₂²⋊D₁₀₁	C₂²	semidirect
37. C₂²×C₂²⋊D₁₀₁	C₂²	semidirect
38. C₂²×C₂²⋊D₁₀₁	C₂²	semidirect
40. C₂×D₄×D₁₀₁	C₂²	semidirect
41. C₂²×C₄×D₁₀₁	C₂²	semidirect
42. #15692251	C₂²	semidirect
43. #15692251	C₂²	semidirect
44. #15692250	C₂²	semidirect
45. #15692250	C₂²	semidirect
46. #15692248	C₂²	semidirect
47. #15692248	C₂²	semidirect
48. #15692248	C₂²	semidirect
49. #15692248	C₂²	semidirect
50. #15692248	C₂²	semidirect
51. #15692248	C₂²	semidirect
52. #15692246	C₂²	semidirect
53. #15692246	C₂²	semidirect
54. #15692245	C₂²	semidirect
55. #15692245	C₂²	semidirect
56. #15692242	C₂²	semidirect
57. #15692242	C₂²	semidirect
58. #15692241	C₂²	semidirect
59. #15692241	C₂²	semidirect
60. #15692241	C₂²	semidirect
61. #15692241	C₂²	semidirect
62. #15692240	C₂²	semidirect
63. #15692240	C₂²	semidirect
64. #15692239	C₂²	semidirect
65. #15692239	C₂²	semidirect
66. #15692239	C₂²	semidirect
67. #15692239	C₂²	semidirect
68. #15692238	C₂²	semidirect
69. #15692238	C₂²	semidirect
70. #15692238	C₂²	semidirect
71. #15692238	C₂²	semidirect
72. #15692237	C₂²	semidirect
73. #15692237	C₂²	semidirect
74. #15692237	C₂²	semidirect
75. #15692237	C₂²	semidirect
76. #15692237	C₂²	semidirect
77. #15692237	C₂²	semidirect
78. #15692237	C₂²	semidirect
79. #15692237	C₂²	semidirect
80. #15692236	C₂²	semidirect
81. #15692236	C₂²	semidirect
82. #15692236	C₂²	semidirect
83. #15692236	C₂²	semidirect
84. #15692236	C₂²	semidirect
85. #15692236	C₂²	semidirect
86. #15692235	C₂²	semidirect
87. #15692235	C₂²	semidirect
88. #15692234	C₂²	semidirect
89. #15692234	C₂²	semidirect
90. #15692233	C₂²	semidirect
91. #15692233	C₂²	semidirect
92. #15692232	C₂²	semidirect
93. #15692232	C₂²	semidirect
94. #15692232	C₂²	semidirect
95. #15692232	C₂²	semidirect
96. #15692232	C₂²	semidirect
97. #15692232	C₂²	semidirect
98. #15692229	C₂²	semidirect
99. #15692229	C₂²	semidirect
100. #15692228	C₂²	semidirect
101. #15692228	C₂²	semidirect
102. #15692228	C₂²	semidirect
103. #15692228	C₂²	semidirect
104. #15692228	C₂²	semidirect
105. #15692228	C₂²	semidirect
108. #15692227	C₂²	semidirect
109. #15692227	C₂²	semidirect
110. #15692227	C₂²	semidirect
111. #15692227	C₂²	semidirect
112. #15692227	C₂²	semidirect
113. #15692227	C₂²	semidirect
114. #15692227	C₂²	semidirect
115. #15692227	C₂²	semidirect
116. #15692227	C₂²	semidirect
117. #15692227	C₂²	semidirect
119. #15692226	C₂²	semidirect
120. #15692226	C₂²	semidirect
121. #15692226	C₂²	semidirect
122. #15692226	C₂²	semidirect
123. #15692226	C₂²	semidirect
124. #15692226	C₂²	semidirect
125. #15692226	C₂²	semidirect
126. #15692226	C₂²	semidirect
127. #15692226	C₂²	semidirect
128. #15692226	C₂²	semidirect
129. #15692226	C₂²	semidirect
130. #15692225	C₂²	semidirect
131. #15692225	C₂²	semidirect
133. #15692224	C₂²	semidirect
134. #15692224	C₂²	semidirect
135. #15692224	C₂²	semidirect
136. #15692223	C₂²	semidirect
137. #15692223	C₂²	semidirect
138. #15692223	C₂²	semidirect
139. #15692223	C₂²	semidirect
140. #15692223	C₂²	semidirect
141. #15692223	C₂²	semidirect
142. D₄×Dic₁₀₁	C₂²	semidirect
143. D₄×Dic₁₀₁	C₂²	semidirect
144. D₄×Dic₁₀₁	C₂²	semidirect
145. D₄×Dic₁₀₁	C₂²	semidirect
146. #15692217	C₂²	semidirect
147. #15692217	C₂²	semidirect
148. C₄×C₂²⋊D₁₀₁	C₂²	semidirect
149. C₄×C₂²⋊D₁₀₁	C₂²	semidirect
150. C₄×C₂²⋊D₁₀₁	C₂²	semidirect
151. C₄×C₂²⋊D₁₀₁	C₂²	semidirect
152. #15692215	C₂²	semidirect
153. #15692215	C₂²	semidirect
154. #15692215	C₂²	semidirect
155. #15692215	C₂²	semidirect
156. #15692215	C₂²	semidirect
157. #15692215	C₂²	semidirect
158. #15692214	C₂²	semidirect
159. #15692211	C₂²	semidirect
160. #15692211	C₂²	semidirect
161. C₂×C₄⋊Dic₁₀₁	C₂²	semidirect
162. C₄⋊C₄×D₁₀₁	C₂²	semidirect
163. C₄⋊C₄×D₁₀₁	C₂²	semidirect
164. C₂×C₂²⋊Dic₁₀₁	C₂²	semidirect
165. C₂×C₂²⋊Dic₁₀₁	C₂²	semidirect
166. C₂×C₂²⋊Dic₁₀₁	C₂²	semidirect
167. C₂×C₂²⋊Dic₁₀₁	C₂²	semidirect
168. C₂²⋊C₄×D₁₀₁	C₂²	semidirect
169. C₂²⋊C₄×D₁₀₁	C₂²	semidirect
170. C₂²⋊C₄×D₁₀₁	C₂²	semidirect
171. C₂²⋊C₄×D₁₀₁	C₂²	semidirect
172. C₂²×D₄×C₁₀₁	C₂²	semidirect
173. C₂²×D₄×C₁₀₁	C₂²	semidirect
174. #123×C₁₀₁	C₂²	semidirect
175. #123×C₁₀₁	C₂²	semidirect
176. #123×C₁₀₁	C₂²	semidirect
177. #123×C₁₀₁	C₂²	semidirect
178. #121×C₁₀₁	C₂²	semidirect
179. #121×C₁₀₁	C₂²	semidirect
180. #121×C₁₀₁	C₂²	semidirect
181. #121×C₁₀₁	C₂²	semidirect
183. #120×C₁₀₁	C₂²	semidirect
184. #120×C₁₀₁	C₂²	semidirect
185. #120×C₁₀₁	C₂²	semidirect
186. C₂×C₂²⋊C₄×C₁₀₁	C₂²	semidirect
541. C₁₀₁	#3534	semidirect
569. #534	D₁₀₁	semidirect
582. C₂²×D₄	C₂×D₁₀₁	semidirect
583. C₂²×D₄	C₂×D₁₀₁	semidirect
629. #123	C₂×D₁₀₁	semidirect
630. #123	C₂×D₁₀₁	semidirect
631. #123	C₂×D₁₀₁	semidirect
632. #123	C₂×D₁₀₁	semidirect
677. #121	C₂×D₁₀₁	semidirect
678. #121	C₂×D₁₀₁	semidirect
679. #121	C₂×D₁₀₁	semidirect
680. #121	C₂×D₁₀₁	semidirect
694. #120	C₂×D₁₀₁	semidirect
695. #120	C₂×D₁₀₁	semidirect
696. #120	C₂×D₁₀₁	semidirect
727. C₂×C₂²⋊C₄	C₂×D₁₀₁	semidirect

Maximal subgroups

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

subgroup	index
#20265924	2
#20265922	2
#20265916	2
#20265915	2
#20265874	2
#20265872	2
#20265858	2
#20265853	2
#20265824	2
#20265821	2
#20265817	2
#20265814	2
D₄×C₂²⋊D₁₀₁	2
#20265809	2
#20265780	2
#20265777	2
#20265771	2
#20265770	2
#20265763	2
#20265762	2
#20265759	2
#20265756	2
#20265737	2
#20265736	2
#20265685	2
#123×D₁₀₁	2
C₂×#15692226	2
#534×C₁₀₁	2
#3534	101