Subgroups — #21460007

Order 7808.

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	#16840510	C₂	1	1	yes	maximal, characteristic, complemented
2	#16840508	C₂	1	1	yes	maximal, characteristic, complemented
3	#16840503	C₂	1	1	yes	maximal, characteristic, complemented
4	#16840502	C₂	1	1	yes	maximal, characteristic, complemented
5	#16840465	C₂	1	1	yes	maximal, characteristic, complemented
6	#16840463	C₂	1	1	yes	maximal, characteristic, complemented
7	#16840441	C₂	1	1	yes	maximal, characteristic, complemented
8	#16840439	C₂	1	1	yes	maximal, characteristic, complemented
9	#16840408	C₂	1	1	yes	maximal, characteristic, complemented
10	#16840407	C₂	1	1	yes	maximal, characteristic, complemented
11	#16840404	C₂	1	1	yes	maximal, characteristic, complemented
12	#16840403	C₂	1	1	yes	maximal, characteristic, complemented
13	#16840403	C₂	1	1	yes	maximal, characteristic, complemented
14	#16840401	C₂	1	1	yes	maximal, characteristic, complemented
15	D₄×D₂₄₄	C₂	1	1	yes	maximal, characteristic, complemented
16	#16840396	C₂	1	1	yes	maximal, characteristic, complemented
17	#16840368	C₂	1	1	yes	maximal, characteristic, complemented
18	#16840364	C₂	1	1	yes	maximal, characteristic, complemented
19	#16840360	C₂	1	1	yes	maximal, characteristic, complemented
20	#16840359	C₂	1	1	yes	maximal, characteristic, complemented
21	#16840352	C₂	1	1	yes	maximal, characteristic, complemented
22	#16840351	C₂	1	1	yes	maximal, characteristic, complemented
23	#16840351	C₂	1	1	yes	maximal, characteristic, complemented
24	#16840342	C₂	1	1	yes	maximal, characteristic, complemented
25	#16840323	C₂	1	1	yes	maximal, characteristic, complemented
26	#16840323	C₂	1	1	yes	maximal, characteristic, complemented
27	#16840323	C₂	1	1	yes	maximal, characteristic, complemented
28	#16840270	C₂	1	1	yes	maximal, characteristic, complemented
29	#123×D₆₁	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#14519752	C₂	1	1	yes	maximal, characteristic, complemented
31	C₆₁×#539	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#11758226	C₂²	1	1	yes	characteristic, complemented
33	C₂×#11758222	C₂²	1	1	yes	characteristic, complemented
34	C₂×#11758224	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
38	C₂²×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₄×D₆₁	C₂²	1	1	yes	characteristic
40	C₂×D₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
44	#14519774	C₂²	1	1	yes	characteristic, complemented
45	#14519773	C₂²	1	1	yes	characteristic, complemented
46	#14519772	C₂²	1	1	yes	characteristic, complemented
47	#14519772	C₂²	1	1	yes	characteristic, complemented
48	#14519772	C₂²	1	1	yes	characteristic, complemented
49	#14519772	C₂²	1	1	yes	characteristic, complemented
50	#14519772	C₂²	1	1	yes	characteristic, complemented
51	#14519771	C₂²	1	1	yes	characteristic, complemented
52	#14519767	C₂²	1	1	yes	characteristic, complemented
53	#14519767	C₂²	1	1	yes	characteristic, complemented
54	#14519766	C₂²	1	1	yes	characteristic, complemented
55	#14519766	C₂²	1	1	yes	characteristic, complemented
56	#14519765	C₂²	1	1	yes	characteristic, complemented
57	#14519765	C₂²	1	1	yes	characteristic, complemented
58	#14519763	C₂²	1	1	yes	characteristic, complemented
59	#14519763	C₂²	1	1	yes	characteristic, complemented
60	#14519762	C₂²	1	1	yes	characteristic, complemented
61	#14519762	C₂²	1	1	yes	characteristic, complemented
62	#14519762	C₂²	1	1	yes	characteristic, complemented
63	#14519762	C₂²	1	1	yes	characteristic, complemented
64	#14519762	C₂²	1	1	yes	characteristic, complemented
65	#14519762	C₂²	1	1	yes	characteristic, complemented
66	#14519762	C₂²	1	1	yes	characteristic, complemented
67	#14519762	C₂²	1	1	yes	characteristic, complemented
68	#14519762	C₂²	1	1	yes	characteristic, complemented
69	#14519762	C₂²	1	1	yes	characteristic, complemented
70	#14519762	C₂²	1	1	yes	characteristic, complemented
71	#14519762	C₂²	1	1	yes	characteristic, complemented
72	#14519762	C₂²	1	1	yes	characteristic, complemented
73	#14519762	C₂²	1	1	yes	characteristic, complemented
74	#14519762	C₂²	1	1	yes	characteristic, complemented
75	#14519761	C₂²	1	1	yes	characteristic, complemented
76	#14519761	C₂²	1	1	yes	characteristic, complemented
77	#14519760	C₂²	1	1	yes	characteristic, complemented
78	#14519760	C₂²	1	1	yes	characteristic, complemented
79	#14519760	C₂²	1	1	yes	characteristic, complemented
80	#14519759	C₂²	1	1	yes	characteristic, complemented
81	#14519759	C₂²	1	1	yes	characteristic, complemented
82	#14519759	C₂²	1	1	yes	characteristic, complemented
83	#14519758	C₂²	1	1	yes	characteristic, complemented
84	#14519757	C₂²	1	1	yes	characteristic, complemented
85	#14519756	C₂²	1	1	yes	characteristic, complemented
86	#14519755	C₂²	1	1	yes	characteristic, complemented
87	#14519755	C₂²	1	1	yes	characteristic, complemented
88	#14519755	C₂²	1	1	yes	characteristic, complemented
89	#14519755	C₂²	1	1	yes	characteristic, complemented
90	#14519755	C₂²	1	1	yes	characteristic, complemented
91	#14519755	C₂²	1	1	yes	characteristic, complemented
92	#14519753	C₂²	1	1	yes	characteristic, complemented
93	#14519752	C₂²	1	1	yes	characteristic
94	#14519752	C₂²	1	1	yes	characteristic, complemented
95	#14519752	C₂²	1	1	yes	characteristic, complemented
96	#14519752	C₂²	1	1	yes	characteristic, complemented
97	#14519752	C₂²	1	1	yes	characteristic, complemented
98	#14519752	C₂²	1	1	yes	characteristic, complemented
99	#14519752	C₂²	1	1	yes	characteristic, complemented
100	#14519752	C₂²	1	1	yes	characteristic, complemented
101	#14519752	C₂²	1	1	yes	characteristic, complemented
102	#14519752	C₂²	1	1	yes	characteristic, complemented
103	#14519752	C₂²	1	1	yes	characteristic, complemented
104	#14519752	C₂²	1	1	yes	characteristic, complemented
105	#14519752	C₂²	1	1	yes	characteristic, complemented
106	#14519752	C₂²	1	1	yes	characteristic, complemented
107	#14519752	C₂²	1	1	yes	characteristic, complemented
108	#14519752	C₂²	1	1	yes	characteristic, complemented
109	#14519752	C₂²	1	1	yes	characteristic, complemented
110	#14519752	C₂²	1	1	yes	characteristic, complemented
111	#14519752	C₂²	1	1	yes	characteristic, complemented
112	#14519751	C₂²	1	1	yes	characteristic
113	#14519751	C₂²	1	1	yes	characteristic, complemented
114	#14519751	C₂²	1	1	yes	characteristic, complemented
115	#14519751	C₂²	1	1	yes	characteristic, complemented
116	#14519750	C₂²	1	1	yes	characteristic, complemented
117	#14519750	C₂²	1	1	yes	characteristic, complemented
118	#14519750	C₂²	1	1	yes	characteristic, complemented
119	#14519750	C₂²	1	1	yes	characteristic, complemented
120	#14519750	C₂²	1	1	yes	characteristic, complemented
121	#14519750	C₂²	1	1	yes	characteristic, complemented
122	#14519750	C₂²	1	1	yes	characteristic, complemented
123	#14519750	C₂²	1	1	yes	characteristic, complemented
124	#14519750	C₂²	1	1	yes	characteristic, complemented
125	#14519750	C₂²	1	1	yes	characteristic, complemented
126	#14519750	C₂²	1	1	yes	characteristic, complemented
127	#14519749	C₂²	1	1	yes	characteristic, complemented
128	#14519747	C₂²	1	1	yes	characteristic
129	#14519747	C₂²	1	1	yes	characteristic, complemented
130	#14519747	C₂²	1	1	yes	characteristic, complemented
131	#14519747	C₂²	1	1	yes	characteristic, complemented
132	#14519747	C₂²	1	1	yes	characteristic, complemented
133	#14519747	C₂²	1	1	yes	characteristic, complemented
134	#14519747	C₂²	1	1	yes	characteristic, complemented
135	#14519747	C₂²	1	1	yes	characteristic, complemented
136	#14519747	C₂²	1	1	yes	characteristic, complemented
137	#14519747	C₂²	1	1	yes	characteristic, complemented
138	#14519747	C₂²	1	1	yes	characteristic, complemented
139	#14519747	C₂²	1	1	yes	characteristic, complemented
140	#14519745	C₂²	1	1	yes	characteristic
141	#14519745	C₂²	1	1	yes	characteristic, complemented
142	#14519745	C₂²	1	1	yes	characteristic, complemented
143	#14519745	C₂²	1	1	yes	characteristic, complemented
144	C₄×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
145	C₄×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
146	C₄×D₂₄₄	C₂²	1	1	yes	characteristic, complemented
147	#14519739	C₂²	1	1	yes	characteristic, complemented
148	#14519739	C₂²	1	1	yes	characteristic, complemented
149	#14519739	C₂²	1	1	yes	characteristic, complemented
150	#14519739	C₂²	1	1	yes	characteristic, complemented
151	#14519739	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₂²⋊D₆₁	C₂²	1	1	yes	characteristic, complemented
155	#14519737	C₂²	1	1	yes	characteristic, complemented
156	#14519737	C₂²	1	1	yes	characteristic, complemented
157	#14519737	C₂²	1	1	yes	characteristic, complemented
158	#14519735	C₂²	1	1	yes	characteristic, complemented
159	#14519734	C₂²	1	1	yes	characteristic, complemented
160	#14519733	C₂²	1	1	yes	characteristic, complemented
161	C₄⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
162	C₄⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
163	C₂×#11758198	C₂²	1	1	yes	characteristic, complemented
164	C₂×#11758198	C₂²	1	1	yes	characteristic, complemented
165	C₂×#11758198	C₂²	1	1	yes	characteristic, complemented
166	C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
167	C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
168	C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
169	C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
171	C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic, complemented
172	#126×C₆₁	C₂²	1	1	yes	characteristic, complemented
173	#126×C₆₁	C₂²	1	1	yes	characteristic, complemented
174	#125×C₆₁	C₂²	1	1	yes	characteristic, complemented
175	#125×C₆₁	C₂²	1	1	yes	characteristic, complemented
176	#123×C₆₁	C₂²	1	1	yes	characteristic, complemented
177	#123×C₆₁	C₂²	1	1	yes	characteristic, complemented
178	#123×C₆₁	C₂²	1	1	yes	characteristic, complemented
179	#123×C₆₁	C₂²	1	1	yes	characteristic, complemented
180	C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic, complemented
183	#121×C₆₁	C₂²	1	1	yes	characteristic
184	C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
185	C₄×D₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₄⋊C₄×C₆₁	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₆₁	C₂³	1	1	yes	characteristic
188	C₂³×D₆₁	C₂³	1	1	yes	characteristic
189	C₂³×D₆₁	C₂³	1	1	yes	characteristic
190	C₂³×D₆₁	C₂³	1	1	yes	characteristic
191	C₂³×D₆₁	C₂³	1	1	yes	characteristic
192	C₂³×D₆₁	C₂³	1	1	yes	characteristic
193	C₂×Q₈×C₆₁	C₂³	1	1	yes	characteristic
194	C₂×D₄×C₆₁	C₂³	1	1	yes	characteristic
195	C₂×D₄×C₆₁	C₂³	1	1	yes	characteristic
196	C₂×D₄×C₆₁	C₂³	1	1	yes	characteristic
197	C₂²×C₄×C₆₁	C₂³	1	1	yes	characteristic
198	C₂²×C₄×C₆₁	C₂³	1	1	yes	characteristic
199	C₂²×C₄×C₆₁	C₂³	1	1	yes	characteristic
200	C₂²×C₄×C₆₁	C₂³	1	1	yes	characteristic
201	C₂²×C₄×C₆₁	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊D₆₁	C₂³	1	1	yes	characteristic
214	C₂²×Dic₆₁	C₂³	1	1	yes	characteristic
215	C₂²×Dic₆₁	C₂³	1	1	yes	characteristic
216	#11758226	—	4	2	no	—
217	#11758224	—	4	2	no	—
218	D₄×D₆₁	—	4	2	no	—
219	D₄×D₆₁	—	4	2	no	—
220	D₄×D₆₁	—	4	2	no	—
221	D₄×D₆₁	—	4	2	no	—
222	#11758222	—	4	2	no	—
223	C₂×D₂₄₄	—	4	2	no	—
224	C₂×D₂₄₄	—	4	2	no	—
225	C₂×D₂₄₄	—	4	2	no	—
226	C₂×D₂₄₄	—	4	2	no	—
227	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
228	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
229	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
230	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
231	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
232	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
233	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
234	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
235	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
236	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
237	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
238	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
239	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
240	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
241	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
242	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
243	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
244	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
245	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
246	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
247	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
248	C₂×D₂₄₄	C₂³	1	1	yes	characteristic
249	C₂×C₄×D₆₁	—	4	2	no	—
250	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
251	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
252	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
253	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
254	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
255	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
256	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
257	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
258	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
259	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
260	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
261	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
262	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
263	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
264	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
265	C₂×C₄×D₆₁	C₂³	1	1	yes	characteristic
266	C₂×Dic₁₂₂	C₂³	1	1	yes	characteristic
267	C₂×Dic₁₂₂	C₂³	1	1	yes	characteristic
268	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
269	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
270	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
271	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
272	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
273	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
274	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
275	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
276	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
277	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
278	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
279	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
280	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
281	C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
282	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
283	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
284	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
285	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
286	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
287	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
288	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
289	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
290	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
291	C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
292	C₄²×C₆₁	C₂³	1	1	yes	characteristic
293	C₄²×C₆₁	C₂³	1	1	yes	characteristic
294	C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
295	C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
296	C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
297	C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
298	#11758198	C₂³	1	1	yes	characteristic
299	#11758198	C₂³	1	1	yes	characteristic
300	#11758198	C₂³	1	1	yes	characteristic
301	#11758198	C₂³	1	1	yes	characteristic
302	#11758198	C₂³	1	1	yes	characteristic
303	#11758198	C₂³	1	1	yes	characteristic
304	#11758198	C₂³	1	1	yes	characteristic
305	#11758198	C₂³	1	1	yes	characteristic
306	#11758198	C₂³	1	1	yes	characteristic
307	#11758198	C₂³	1	1	yes	characteristic
308	#11758198	C₂³	1	1	yes	characteristic
309	#11758198	C₂³	1	1	yes	characteristic
310	#11758198	C₂³	1	1	yes	characteristic
311	#11758198	C₂³	1	1	yes	characteristic
312	#11758198	C₂³	1	1	yes	characteristic
313	#11758198	C₂³	1	1	yes	characteristic
314	#11758198	C₂³	1	1	yes	characteristic
315	#11758198	C₂³	1	1	yes	characteristic
316	#11758198	C₂³	1	1	yes	characteristic
317	#11758198	C₂³	1	1	yes	characteristic
318	#11758198	C₂³	1	1	yes	characteristic
319	#11758198	C₂³	1	1	yes	characteristic
320	#11758198	C₂³	1	1	yes	characteristic
321	#11758198	C₂³	1	1	yes	characteristic
322	#11758198	C₂³	1	1	yes	characteristic
323	#11758198	C₂³	1	1	yes	characteristic
324	#11758198	C₂³	1	1	yes	characteristic
325	#11758198	C₂³	1	1	yes	characteristic
326	#11758198	C₂³	1	1	yes	characteristic
327	#11758198	C₂³	1	1	yes	characteristic
328	#11758198	C₂³	1	1	yes	characteristic
329	#11758198	C₂³	1	1	yes	characteristic
330	#11758198	C₂³	1	1	yes	characteristic
331	#11758198	C₂³	1	1	yes	characteristic
332	#11758198	C₂³	1	1	yes	characteristic
333	#11758198	C₂³	1	1	yes	characteristic
334	C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
335	C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
336	C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
337	C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
338	#11758196	C₂³	1	1	yes	characteristic
339	#11758196	C₂³	1	1	yes	characteristic
340	#11758196	C₂³	1	1	yes	characteristic
341	#11758196	C₂³	1	1	yes	characteristic
342	#11758196	C₂³	1	1	yes	characteristic
343	#11758196	C₂³	1	1	yes	characteristic
344	#11758196	C₂³	1	1	yes	characteristic
345	#11758196	C₂³	1	1	yes	characteristic
346	#11758196	C₂³	1	1	yes	characteristic
347	#11758196	C₂³	1	1	yes	characteristic
348	#11758196	C₂³	1	1	yes	characteristic
349	#11758196	C₂³	1	1	yes	characteristic
350	C₄×Dic₆₁	C₂³	1	1	yes	characteristic
351	C₄×Dic₆₁	C₂³	1	1	yes	characteristic
352	C₄×Dic₆₁	C₂³	1	1	yes	characteristic
353	C₄×Dic₆₁	C₂³	1	1	yes	characteristic
354	C₂³×C₆₁	C₂⁴	1	1	yes	characteristic
355	C₂³×C₆₁	C₂⁴	1	1	yes	characteristic
356	C₂³×C₆₁	C₂⁴	1	1	yes	characteristic
357	C₂²×D₆₁	—	2	2	no	—
358	C₂²×D₆₁	—	2	2	no	—
359	C₂²×D₆₁	—	2	2	no	—
360	C₂²×D₆₁	—	2	2	no	—
361	C₂²×D₆₁	—	2	2	no	—
362	C₂²×D₆₁	—	4	1	no	—
363	C₂²×D₆₁	—	4	1	no	—
364	C₂²×D₆₁	—	4	1	no	—
365	C₂²×D₆₁	—	4	1	no	—
366	C₂²×D₆₁	—	4	1	no	—
367	C₂²×D₆₁	—	4	1	no	—
368	C₂²×D₆₁	—	4	1	no	—
369	C₂²×D₆₁	—	4	1	no	—
370	C₂²×D₆₁	—	4	1	no	—
371	C₂²×D₆₁	—	4	1	no	—
372	C₂²×D₆₁	—	4	1	no	—
373	C₂²×D₆₁	—	4	1	no	—
374	C₂²×D₆₁	—	4	1	no	—
375	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
376	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
377	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
378	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
379	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
380	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
381	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
382	C₂²×D₆₁	C₂⁴	1	1	yes	characteristic
383	Q₈×C₆₁	—	4	1	no	—
384	D₄×C₆₁	—	2	2	no	—
385	D₄×C₆₁	—	2	2	no	—
386	D₄×C₆₁	—	4	1	no	—
387	C₂×C₄×C₆₁	—	2	2	no	—
388	C₂×C₄×C₆₁	—	4	1	no	—
389	C₂×C₄×C₆₁	—	4	1	no	—
390	C₂×C₄×C₆₁	—	4	1	no	—
391	C₂×C₄×C₆₁	—	4	1	no	—
392	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
394	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
400	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
403	C₂×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
404	C₂²⋊D₆₁	—	2	2	no	—
405	C₂²⋊D₆₁	—	2	2	no	—
406	C₂²⋊D₆₁	—	2	2	no	—
407	C₂²⋊D₆₁	—	4	1	no	—
408	C₂²⋊D₆₁	—	4	1	no	—
409	C₂²⋊D₆₁	—	4	1	no	—
410	C₂²⋊D₆₁	—	4	1	no	—
411	C₂²⋊D₆₁	—	4	1	no	—
412	C₂²⋊D₆₁	—	4	1	no	—
413	C₂²⋊D₆₁	—	4	1	no	—
414	C₂²⋊D₆₁	—	4	1	no	—
415	C₂²⋊D₆₁	—	4	1	no	—
416	C₂×Dic₆₁	—	2	2	no	—
417	C₂×Dic₆₁	—	4	1	no	—
418	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
419	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
420	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
424	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
425	C₂×Dic₆₁	C₂⁴	1	1	yes	characteristic
426	D₂₄₄	—	2	2	no	—
427	D₂₄₄	—	2	2	no	—
428	D₂₄₄	—	2	2	no	—
429	D₂₄₄	—	2	2	no	—
430	D₂₄₄	—	2	2	no	—
431	D₂₄₄	—	4	1	no	—
432	D₂₄₄	—	4	1	no	—
433	D₂₄₄	—	4	1	no	—
434	D₂₄₄	—	4	1	no	—
435	D₂₄₄	—	4	1	no	—
436	D₂₄₄	—	4	1	no	—
437	D₂₄₄	—	4	1	no	—
438	D₂₄₄	—	4	1	no	—
439	D₂₄₄	—	4	1	no	—
440	D₂₄₄	—	4	1	no	—
441	D₂₄₄	—	4	1	no	—
442	D₂₄₄	—	4	1	no	—
443	D₂₄₄	—	4	1	no	—
444	D₂₄₄	—	4	1	no	—
445	D₂₄₄	—	4	1	no	—
446	D₂₄₄	—	4	1	no	—
447	D₂₄₄	—	4	1	no	—
448	C₄×D₆₁	—	2	2	no	—
449	C₄×D₆₁	—	4	1	no	—
450	C₄×D₆₁	—	4	1	no	—
451	C₄×D₆₁	—	4	1	no	—
452	C₄×D₆₁	—	4	1	no	—
453	C₄×D₆₁	—	4	1	no	—
454	C₄×D₆₁	—	4	1	no	—
455	C₄×D₆₁	—	4	1	no	—
456	C₄×D₆₁	—	4	1	no	—
457	C₄×D₆₁	—	4	1	no	—
458	C₄×D₆₁	—	4	1	no	—
459	C₄×D₆₁	—	4	1	no	—
460	C₄×D₆₁	—	4	1	no	—
461	C₄×D₆₁	—	4	1	no	—
462	C₄×D₆₁	—	4	1	no	—
463	C₄×D₆₁	—	4	1	no	—
464	Dic₁₂₂	—	4	1	no	—
465	Dic₁₂₂	—	4	1	no	—
466	C₂²×C₆₁	—	2	1	no	—
467	C₂²×C₆₁	—	2	1	no	—
468	C₂²×C₆₁	—	2	1	no	—
469	C₂²×C₆₁	—	2	1	no	—
470	C₂²×C₆₁	—	2	1	no	—
471	C₂²×C₆₁	—	2	1	no	—
472	C₂²×C₆₁	—	2	1	no	—
473	C₂²×C₆₁	—	2	1	no	—
474	C₂²×C₆₁	H(5,𝔽₂)	1	2	yes	—
475	C₂²×C₆₁	C₂⁵	1	1	yes	characteristic
476	C₂×D₆₁	—	2	1	no	—
477	C₂×D₆₁	—	2	1	no	—
478	C₂×D₆₁	—	2	1	no	—
479	C₂×D₆₁	—	2	1	no	—
480	C₂×D₆₁	—	2	1	no	—
481	C₂×D₆₁	—	2	1	no	—
482	C₂×D₆₁	—	2	1	no	—
483	C₂×D₆₁	—	2	1	no	—
484	C₂×D₆₁	—	2	1	no	—
485	C₂×D₆₁	—	2	1	no	—
486	C₂×D₆₁	—	2	1	no	—
487	C₂×D₆₁	—	2	1	no	—
488	C₂×D₆₁	—	2	1	no	—
489	C₂×D₆₁	—	2	1	no	—
490	C₂×D₆₁	—	2	1	no	—
491	C₂×D₆₁	—	2	1	no	—
492	C₂×D₆₁	—	2	1	no	—
493	C₂×D₆₁	—	2	1	no	—
494	C₂×D₆₁	—	2	1	no	—
495	C₂×D₆₁	—	2	1	no	—
496	C₂×D₆₁	—	2	1	no	—
497	C₂×D₆₁	—	2	1	no	—
498	C₂×D₆₁	—	2	1	no	—
499	C₂×D₆₁	—	4	4	no	—
500	C₂×D₆₁	—	8	2	no	—
501	C₂×D₆₁	—	8	2	no	—
502	C₂×D₆₁	—	8	2	no	—
503	C₂×D₆₁	—	8	2	no	—
504	C₂×D₆₁	—	8	2	no	—
505	C₂×D₆₁	H(5,𝔽₂)	1	2	yes	—
506	C₄×C₆₁	—	2	1	no	—
507	C₄×C₆₁	—	2	1	no	—
508	C₄×C₆₁	—	2	1	no	—
509	C₄×C₆₁	—	2	1	no	—
510	C₄×C₆₁	—	2	1	no	—
511	C₄×C₆₁	—	2	1	no	—
512	C₄×C₆₁	—	2	1	no	—
513	C₄×C₆₁	—	2	1	no	—
514	C₄×C₆₁	—	2	1	no	—
515	C₄×C₆₁	—	2	1	no	—
516	C₄×C₆₁	—	2	1	no	—
517	C₄×C₆₁	—	2	1	no	—
518	Dic₆₁	—	2	1	no	—
519	Dic₆₁	—	2	1	no	—
520	Dic₆₁	—	2	1	no	—
521	Dic₆₁	—	2	1	no	—
522	Dic₆₁	—	2	1	no	—
523	Dic₆₁	—	2	1	no	—
524	Dic₆₁	—	2	1	no	—
525	Dic₆₁	—	2	1	no	—
526	#3534	—	61	1	no	maximal, Sylow
527	C₂×C₆₁	—	2	2	no	—
528	C₂×C₆₁	—	4	1	no	—
529	C₂×C₆₁	—	4	1	no	—
530	C₂×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
531	C₂×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
532	C₂×C₆₁	#585	1	1	yes	characteristic
533	D₆₁	—	2	2	no	—
534	D₆₁	—	4	1	no	—
535	D₆₁	—	4	1	no	—
536	D₆₁	—	4	1	no	—
537	D₆₁	—	4	1	no	—
538	D₆₁	—	4	1	no	—
539	D₆₁	—	4	1	no	—
540	D₆₁	—	4	1	no	—
541	#562	—	61	1	no	—
542	#562	—	61	1	no	—
543	#560	—	61	1	no	—
544	#560	—	61	1	no	—
545	#553	—	61	1	no	—
546	#553	—	61	1	no	—
547	#551	—	61	1	no	—
548	#551	—	61	1	no	—
549	#546	—	61	1	no	—
550	#546	—	61	1	no	—
551	#546	—	61	1	no	—
552	#546	—	61	1	no	—
553	#546	—	61	1	no	—
554	#546	—	61	1	no	—
555	D₄²	—	61	1	no	—
556	D₄²	—	61	1	no	—
557	#540	—	61	1	no	—
558	#540	—	61	1	no	—
559	#539	—	61	1	no	—
560	#539	—	61	1	no	—
561	#539	D₆₁	1	1	yes	characteristic, complemented
562	#538	—	61	1	no	—
563	#538	—	61	1	no	—
564	#538	—	61	1	no	—
565	#537	—	61	1	no	—
566	#534	—	61	1	no	—
567	#534	—	61	1	no	—
568	#534	—	61	1	no	—
569	#525	—	61	1	no	—
570	C₂×#123	—	61	1	no	—
571	C₂×#121	—	61	1	no	—
572	C₆₁	#3534	1	1	yes	characteristic, complemented, Sylow
573	C₂×#41	—	61	1	no	—
574	C₂×#41	—	61	1	no	—
575	C₂×#41	—	61	1	no	—
576	C₂²×D₄	—	61	1	no	—
577	C₂²×D₄	—	61	1	no	—
578	C₂²×D₄	—	61	1	no	—
579	C₂²×D₄	—	61	1	no	—
580	C₂²×D₄	—	61	1	no	—
581	C₂²×D₄	—	61	1	no	—
582	C₂²×D₄	—	61	1	no	—
583	C₂²×D₄	—	61	1	no	—
584	C₂³×C₄	—	61	1	no	—
585	#127	—	61	1	no	—
586	#127	—	61	1	no	—
587	#126	—	61	1	no	—
588	#126	—	61	1	no	—
589	#126	—	61	1	no	—
590	#126	—	61	1	no	—
591	#126	—	61	1	no	—
592	#126	—	61	1	no	—
593	#126	C₂×D₆₁	1	1	yes	characteristic, complemented
594	#126	C₂×D₆₁	1	1	yes	characteristic, complemented
595	#125	—	61	1	no	—
596	#125	—	61	1	no	—
597	#125	C₂×D₆₁	1	1	yes	characteristic, complemented
598	#125	C₂×D₆₁	1	1	yes	characteristic, complemented
599	#124	—	61	1	no	—
600	#124	—	61	1	no	—
601	#124	—	61	1	no	—
602	#124	—	61	1	no	—
603	#124	—	61	1	no	—
604	#124	—	61	1	no	—
605	#123	—	61	1	no	—
606	#123	—	61	1	no	—
607	#123	—	61	1	no	—
608	#123	—	61	1	no	—
609	#123	—	61	1	no	—
610	#123	—	61	1	no	—
611	#123	—	61	1	no	—
612	#123	—	61	1	no	—
613	#123	—	61	1	no	—
614	#123	—	61	1	no	—
615	#123	—	61	1	no	—
616	#123	—	61	1	no	—
617	#123	—	61	1	no	—
618	#123	—	61	1	no	—
619	#123	—	61	1	no	—
620	#123	—	61	1	no	—
621	#123	—	61	1	no	—
622	#123	—	61	1	no	—
623	#123	—	61	1	no	—
624	#123	—	61	1	no	—
625	#123	—	61	1	no	—
626	#123	—	61	1	no	—
627	#123	—	61	1	no	—
628	#123	—	61	1	no	—
629	#123	C₂×D₆₁	1	1	yes	characteristic, complemented
630	#123	C₂×D₆₁	1	1	yes	characteristic, complemented
631	#123	C₂×D₆₁	1	1	yes	characteristic, complemented
632	#123	C₂×D₆₁	1	1	yes	characteristic, complemented
633	C₂²⋊Q₈	—	61	1	no	—
634	C₂²⋊Q₈	—	61	1	no	—
635	C₂²⋊Q₈	—	61	1	no	—
636	C₂²⋊Q₈	—	61	1	no	—
637	C₂²⋊Q₈	—	61	1	no	—
638	C₂²⋊Q₈	—	61	1	no	—
639	C₂²⋊Q₈	—	61	1	no	—
640	C₂²⋊Q₈	—	61	1	no	—
641	C₂²⋊Q₈	—	61	1	no	—
642	C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic, complemented
643	C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic, complemented
644	C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic, complemented
645	#121	—	61	1	no	—
646	#121	—	61	1	no	—
647	#121	—	61	1	no	—
648	#121	—	61	1	no	—
649	#121	—	61	1	no	—
650	#121	—	61	1	no	—
651	#121	—	61	1	no	—
652	#121	—	61	1	no	—
653	#121	—	61	1	no	—
654	#121	—	61	1	no	—
655	#121	—	61	1	no	—
656	#121	—	61	1	no	—
657	#121	—	61	1	no	—
658	#121	—	61	1	no	—
659	#121	—	61	1	no	—
660	#121	—	61	1	no	—
661	#121	—	61	1	no	—
662	#121	—	61	1	no	—
663	#121	—	61	1	no	—
664	#121	—	61	1	no	—
665	#121	—	61	1	no	—
666	#121	—	61	1	no	—
667	#121	—	61	1	no	—
668	#121	—	61	1	no	—
669	#121	—	61	1	no	—
670	#121	—	61	1	no	—
671	#121	—	61	1	no	—
672	#121	—	61	1	no	—
673	#121	—	61	1	no	—
674	#121	—	61	1	no	—
675	#121	—	61	1	no	—
676	#121	—	61	1	no	—
677	#121	—	61	1	no	—
678	#121	—	61	1	no	—
679	#121	—	61	1	no	—
680	#121	C₂×D₆₁	1	1	yes	characteristic
681	#120	—	61	1	no	—
682	#120	—	61	1	no	—
683	#120	—	61	1	no	—
684	#120	—	61	1	no	—
685	#120	—	61	1	no	—
686	#120	—	61	1	no	—
687	#120	—	61	1	no	—
688	#120	—	61	1	no	—
689	#120	—	61	1	no	—
690	#120	—	61	1	no	—
691	#120	—	61	1	no	—
692	#120	—	61	1	no	—
693	#120	—	61	1	no	—
694	#120	—	61	1	no	—
695	#120	—	61	1	no	—
696	#120	—	61	1	no	—
697	C₄×D₄	—	61	1	no	—
698	C₄×D₄	—	61	1	no	—
699	C₄×D₄	—	61	1	no	—
700	C₄×D₄	—	61	1	no	—
701	C₄×D₄	—	61	1	no	—
702	C₄×D₄	—	61	1	no	—
703	C₄×D₄	—	61	1	no	—
704	C₄×D₄	—	61	1	no	—
705	C₄×D₄	—	61	1	no	—
706	C₄×D₄	—	61	1	no	—
707	C₄×D₄	—	61	1	no	—
708	C₄×D₄	—	61	1	no	—
709	C₄×D₄	—	61	1	no	—
710	C₄×D₄	—	61	1	no	—
711	C₄×D₄	C₂×D₆₁	1	1	yes	characteristic, complemented
712	C₄×D₄	C₂×D₆₁	1	1	yes	characteristic, complemented
713	#117	—	61	1	no	—
714	#117	—	61	1	no	—
715	#117	—	61	1	no	—
716	C₂×C₄⋊C₄	—	61	1	no	—
717	C₂×C₄⋊C₄	—	61	1	no	—
718	C₂×C₄⋊C₄	C₂×D₆₁	1	1	yes	characteristic, complemented
719	C₂×C₂²⋊C₄	—	61	1	no	—
720	C₂×C₂²⋊C₄	—	61	1	no	—
721	C₂×C₂²⋊C₄	—	61	1	no	—
722	C₂×C₂²⋊C₄	—	61	1	no	—
723	C₂×C₂²⋊C₄	—	61	1	no	—
724	C₂×C₂²⋊C₄	—	61	1	no	—
725	C₂×C₂²⋊C₄	—	61	1	no	—
726	C₂×C₂²⋊C₄	—	61	1	no	—
727	C₂×C₂²⋊C₄	—	61	1	no	—
728	C₂⁴	—	61	1	no	—
729	C₂⁴	—	61	1	no	—
730	C₂⁴	—	61	1	no	—
731	C₂⁴	—	61	1	no	—
732	C₂⁴	—	61	1	no	—
733	C₂⁴	—	61	1	no	—
734	#41	—	244	2	no	—
735	#41	—	244	2	no	—
736	#41	—	244	2	no	—
737	C₂×Q₈	—	61	1	no	—
738	C₂×Q₈	—	61	1	no	—
739	C₂×Q₈	C₂²×D₆₁	1	1	yes	characteristic
740	C₂×D₄	—	61	1	no	—
741	C₂×D₄	—	61	1	no	—
742	C₂×D₄	—	61	1	no	—
743	C₂×D₄	—	61	1	no	—
744	C₂×D₄	—	61	1	no	—
745	C₂×D₄	—	61	1	no	—
746	C₂×D₄	—	61	1	no	—
747	C₂×D₄	—	61	1	no	—
748	C₂×D₄	—	61	1	no	—
749	C₂×D₄	—	61	1	no	—
750	C₂×D₄	—	61	1	no	—
751	C₂×D₄	—	61	1	no	—
752	C₂×D₄	—	61	1	no	—
753	C₂×D₄	—	61	1	no	—
754	C₂×D₄	—	61	1	no	—
755	C₂×D₄	—	61	1	no	—
756	C₂×D₄	—	61	1	no	—
757	C₂×D₄	—	61	1	no	—
758	C₂×D₄	—	61	1	no	—
759	C₂×D₄	—	61	1	no	—
760	C₂×D₄	—	61	1	no	—
761	C₂×D₄	—	61	1	no	—
762	C₂×D₄	—	61	1	no	—
763	C₂×D₄	—	61	1	no	—
764	C₂×D₄	—	61	1	no	—
765	C₂×D₄	—	61	1	no	—
766	C₂×D₄	—	61	1	no	—
767	C₂×D₄	—	61	1	no	—
768	C₂×D₄	—	61	1	no	—
769	C₂×D₄	—	61	1	no	—
770	C₂×D₄	—	61	1	no	—
771	C₂×D₄	—	61	1	no	—
772	C₂×D₄	—	61	1	no	—
773	C₂×D₄	—	61	1	no	—
774	C₂×D₄	—	244	2	no	—
775	C₂×D₄	—	244	2	no	—
776	C₂×D₄	—	244	2	no	—
777	C₂×D₄	—	244	2	no	—
778	C₂×D₄	—	244	2	no	—
779	C₂×D₄	—	244	2	no	—
780	C₂×D₄	—	244	2	no	—
781	C₂×D₄	—	244	2	no	—
782	C₂×D₄	C₂²×D₆₁	1	1	yes	characteristic
783	C₂×D₄	C₂²×D₆₁	1	1	yes	characteristic
784	C₂×D₄	C₂²×D₆₁	1	1	yes	characteristic
785	C₂²×C₄	—	61	1	no	—
786	C₂²×C₄	—	61	1	no	—
787	C₂²×C₄	—	61	1	no	—
788	C₂²×C₄	—	61	1	no	—
789	C₂²×C₄	—	61	1	no	—
790	C₂²×C₄	—	61	1	no	—
791	C₂²×C₄	—	61	1	no	—
792	C₂²×C₄	—	61	1	no	—
793	C₂²×C₄	—	61	1	no	—
794	C₂²×C₄	—	61	1	no	—
795	C₂²×C₄	—	61	1	no	—
796	C₂²×C₄	—	61	1	no	—
797	C₂²×C₄	—	61	1	no	—
798	C₂²×C₄	—	61	1	no	—
799	C₂²×C₄	—	61	1	no	—
800	C₂²×C₄	—	61	1	no	—
801	C₂²×C₄	—	61	1	no	—
802	C₂²×C₄	—	61	1	no	—
803	C₂²×C₄	—	244	2	no	—
804	C₂²×C₄	C₂²×D₆₁	1	1	yes	characteristic
805	C₂²×C₄	C₂²×D₆₁	1	1	yes	characteristic
806	C₂²×C₄	C₂²×D₆₁	1	1	yes	characteristic
807	C₂²×C₄	C₂²×D₆₁	1	1	yes	characteristic
808	C₂²×C₄	C₂²×D₆₁	1	1	yes	characteristic
809	C₄⋊C₄	—	61	1	no	—
810	C₄⋊C₄	—	61	1	no	—
811	C₄⋊C₄	—	61	1	no	—
812	C₄⋊C₄	—	61	1	no	—
813	C₄⋊C₄	—	61	1	no	—
814	C₄⋊C₄	—	61	1	no	—
815	C₄⋊C₄	—	61	1	no	—
816	C₄⋊C₄	—	61	1	no	—
817	C₄⋊C₄	—	61	1	no	—
818	C₄⋊C₄	—	61	1	no	—
819	C₄⋊C₄	—	61	1	no	—
820	C₄⋊C₄	—	61	1	no	—
821	C₄⋊C₄	—	61	1	no	—
822	C₄⋊C₄	—	61	1	no	—
823	C₄⋊C₄	—	61	1	no	—
824	C₄⋊C₄	—	61	1	no	—
825	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
826	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
827	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
828	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
829	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
830	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
831	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
832	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
833	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
834	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
835	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
836	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
837	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
838	C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
839	C₂²⋊C₄	—	61	1	no	—
840	C₂²⋊C₄	—	61	1	no	—
841	C₂²⋊C₄	—	61	1	no	—
842	C₂²⋊C₄	—	61	1	no	—
843	C₂²⋊C₄	—	61	1	no	—
844	C₂²⋊C₄	—	61	1	no	—
845	C₂²⋊C₄	—	61	1	no	—
846	C₂²⋊C₄	—	61	1	no	—
847	C₂²⋊C₄	—	61	1	no	—
848	C₂²⋊C₄	—	61	1	no	—
849	C₂²⋊C₄	—	61	1	no	—
850	C₂²⋊C₄	—	61	1	no	—
851	C₂²⋊C₄	—	61	1	no	—
852	C₂²⋊C₄	—	61	1	no	—
853	C₂²⋊C₄	—	61	1	no	—
854	C₂²⋊C₄	—	61	1	no	—
855	C₂²⋊C₄	—	61	1	no	—
856	C₂²⋊C₄	—	61	1	no	—
857	C₂²⋊C₄	—	61	1	no	—
858	C₂²⋊C₄	—	61	1	no	—
859	C₂²⋊C₄	—	61	1	no	—
860	C₂²⋊C₄	—	61	1	no	—
861	C₂²⋊C₄	—	61	1	no	—
862	C₂²⋊C₄	—	61	1	no	—
863	C₂²⋊C₄	—	61	1	no	—
864	C₂²⋊C₄	—	61	1	no	—
865	C₂²⋊C₄	—	61	1	no	—
866	C₂²⋊C₄	—	61	1	no	—
867	C₂²⋊C₄	—	61	1	no	—
868	C₂²⋊C₄	—	61	1	no	—
869	C₂²⋊C₄	—	61	1	no	—
870	C₂²⋊C₄	—	61	1	no	—
871	C₂²⋊C₄	—	61	1	no	—
872	C₂²⋊C₄	—	61	1	no	—
873	C₂²⋊C₄	—	61	1	no	—
874	C₂²⋊C₄	—	61	1	no	—
875	C₂²⋊C₄	—	61	1	no	—
876	C₂²⋊C₄	—	61	1	no	—
877	C₂²⋊C₄	—	61	1	no	—
878	C₂²⋊C₄	—	61	1	no	—
879	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
880	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
881	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
882	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
883	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
884	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
885	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
886	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
887	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
888	C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
889	C₄²	—	61	1	no	—
890	C₄²	—	61	1	no	—
891	C₄²	—	61	1	no	—
892	C₄²	—	61	1	no	—
893	C₄²	C₂²×D₆₁	1	1	yes	characteristic
894	C₄²	C₂²×D₆₁	1	1	yes	characteristic
895	C₂³	—	61	1	no	—
896	C₂³	—	61	1	no	—
897	C₂³	—	61	1	no	—
898	C₂³	—	61	1	no	—
899	C₂³	—	61	1	no	—
900	C₂³	—	61	1	no	—
901	C₂³	—	61	1	no	—
902	C₂³	—	61	1	no	—
903	C₂³	—	122	2	no	—
904	C₂³	—	122	2	no	—
905	C₂³	—	122	2	no	—
906	C₂³	—	122	2	no	—
907	C₂³	—	122	2	no	—
908	C₂³	—	244	1	no	—
909	C₂³	—	244	1	no	—
910	C₂³	—	244	1	no	—
911	C₂³	—	244	1	no	—
912	C₂³	—	244	1	no	—
913	C₂³	—	244	1	no	—
914	C₂³	—	244	1	no	—
915	C₂³	—	244	1	no	—
916	C₂³	—	244	1	no	—
917	C₂³	—	244	1	no	—
918	C₂³	—	244	1	no	—
919	C₂³	—	244	1	no	—
920	C₂³	—	244	1	no	—
921	C₂³	C₂³×D₆₁	1	1	yes	characteristic
922	C₂³	C₂³×D₆₁	1	1	yes	characteristic
923	C₂³	C₂³×D₆₁	1	1	yes	characteristic
924	Q₈	—	4	1	no	—
925	Q₈	—	244	1	no	—
926	Q₈	—	244	1	no	—
927	D₄	—	2	2	no	—
928	D₄	—	2	2	no	—
929	D₄	—	4	1	no	—
930	D₄	—	122	2	no	—
931	D₄	—	122	2	no	—
932	D₄	—	122	2	no	—
933	D₄	—	122	2	no	—
934	D₄	—	122	2	no	—
935	D₄	—	122	2	no	—
936	D₄	—	122	2	no	—
937	D₄	—	122	2	no	—
938	D₄	—	244	1	no	—
939	D₄	—	244	1	no	—
940	D₄	—	244	1	no	—
941	D₄	—	244	1	no	—
942	D₄	—	244	1	no	—
943	D₄	—	244	1	no	—
944	D₄	—	244	1	no	—
945	D₄	—	244	1	no	—
946	D₄	—	244	1	no	—
947	D₄	—	244	1	no	—
948	D₄	—	244	1	no	—
949	D₄	—	244	1	no	—
950	D₄	—	244	1	no	—
951	D₄	—	244	1	no	—
952	D₄	—	244	1	no	—
953	D₄	—	244	1	no	—
954	D₄	—	244	1	no	—
955	D₄	—	244	1	no	—
956	D₄	—	244	1	no	—
957	D₄	—	244	1	no	—
958	D₄	—	244	1	no	—
959	D₄	—	244	1	no	—
960	D₄	—	244	1	no	—
961	D₄	—	244	1	no	—
962	D₄	—	244	1	no	—
963	D₄	—	244	1	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	—	4	1	no	—
969	C₂×C₄	—	61	1	no	—
970	C₂×C₄	—	61	1	no	—
971	C₂×C₄	—	61	1	no	—
972	C₂×C₄	—	61	1	no	—
973	C₂×C₄	—	61	1	no	—
974	C₂×C₄	—	61	1	no	—
975	C₂×C₄	—	61	1	no	—
976	C₂×C₄	—	61	1	no	—
977	C₂×C₄	—	122	2	no	—
978	C₂×C₄	—	122	2	no	—
979	C₂×C₄	—	244	1	no	—
980	C₂×C₄	—	244	1	no	—
981	C₂×C₄	—	244	1	no	—
982	C₂×C₄	—	244	1	no	—
983	C₂×C₄	—	244	1	no	—
984	C₂×C₄	—	244	1	no	—
985	C₂×C₄	—	244	1	no	—
986	C₂×C₄	—	244	1	no	—
987	C₂×C₄	—	244	1	no	—
988	C₂×C₄	—	244	1	no	—
989	C₂×C₄	—	244	1	no	—
990	C₂×C₄	—	244	1	no	—
991	C₂×C₄	—	244	1	no	—
992	C₂×C₄	—	244	1	no	—
993	C₂×C₄	—	244	1	no	—
994	C₂×C₄	—	244	1	no	—
995	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
996	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
997	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
998	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
999	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
1000	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
1001	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
1002	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
1003	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
1004	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
1005	C₂×C₄	C₂³×D₆₁	1	1	yes	characteristic
1006	C₂×C₄	C₂³×D₆₁	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	—	61	2	no	—
1016	C₂²	—	122	1	no	—
1017	C₂²	—	122	1	no	—
1018	C₂²	—	122	1	no	—
1019	C₂²	—	122	1	no	—
1020	C₂²	—	122	1	no	—
1021	C₂²	—	122	1	no	—
1022	C₂²	—	122	1	no	—
1023	C₂²	—	122	1	no	—
1024	C₂²	—	122	1	no	—
1025	C₂²	—	122	1	no	—
1026	C₂²	—	122	1	no	—
1027	C₂²	—	122	1	no	—
1028	C₂²	—	122	1	no	—
1029	C₂²	—	122	1	no	—
1030	C₂²	—	122	1	no	—
1031	C₂²	—	122	1	no	—
1032	C₂²	—	122	1	no	—
1033	C₂²	—	122	1	no	—
1034	C₂²	—	122	1	no	—
1035	C₂²	—	122	1	no	—
1036	C₂²	—	122	1	no	—
1037	C₂²	—	122	1	no	—
1038	C₂²	—	122	1	no	—
1039	C₂²	—	488	2	no	—
1040	C₂²	—	488	2	no	—
1041	C₂²	—	488	2	no	—
1042	C₂²	—	488	2	no	—
1043	C₂²	—	488	2	no	—
1044	C₂²	—	244	4	no	—
1045	C₂²	#14519823	1	2	yes	—
1046	C₂²	C₂⁴×D₆₁	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	—	2	1	no	—
1058	C₄	—	2	1	no	—
1059	C₄	—	122	1	no	—
1060	C₄	—	122	1	no	—
1061	C₄	—	122	1	no	—
1062	C₄	—	122	1	no	—
1063	C₄	—	122	1	no	—
1064	C₄	—	122	1	no	—
1065	C₄	—	122	1	no	—
1066	C₄	—	122	1	no	—
1067	C₂	—	2	2	no	—
1068	C₂	—	4	1	no	—
1069	C₂	—	4	1	no	—
1070	C₂	—	122	2	no	—
1071	C₂	—	244	1	no	—
1072	C₂	—	244	1	no	—
1073	C₂	—	244	1	no	—
1074	C₂	—	244	1	no	—
1075	C₂	—	244	1	no	—
1076	C₂	—	244	1	no	—
1077	C₂	—	244	1	no	—
1078	C₂	H(5,𝔽₂)×D₆₁	1	1	yes	characteristic
1079	C₂	C₂×#14519823	1	1	yes	characteristic
1080	C₂	#16840599	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₆₁
commutator, socle	C₂²×C₆₁	C₂⁵
Fitting	C₆₁×#539	C₂
hypercenter	#539	D₆₁
hypocenter	C₆₁	#3534
LCS	G ▷ C₂²×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. #16840510	C₂	semidirect
2. #16840508	C₂	semidirect
3. #16840503	C₂	semidirect
4. #16840502	C₂	semidirect
5. #16840465	C₂	semidirect
6. #16840463	C₂	semidirect
7. #16840441	C₂	semidirect
8. #16840439	C₂	semidirect
9. #16840408	C₂	semidirect
10. #16840407	C₂	semidirect
11. #16840404	C₂	semidirect
12. #16840403	C₂	semidirect
13. #16840403	C₂	semidirect
14. #16840401	C₂	semidirect
15. D₄×D₂₄₄	C₂	semidirect
16. #16840396	C₂	semidirect
17. #16840368	C₂	semidirect
18. #16840364	C₂	semidirect
19. #16840360	C₂	semidirect
20. #16840359	C₂	semidirect
21. #16840352	C₂	semidirect
22. #16840351	C₂	semidirect
23. #16840351	C₂	semidirect
24. #16840342	C₂	semidirect
25. #16840323	C₂	semidirect
26. #16840323	C₂	semidirect
27. #16840323	C₂	semidirect
28. #16840270	C₂	semidirect
29. #123×D₆₁	C₂	semidirect
30. C₂×#14519752	C₂	semidirect
31. C₆₁×#539	C₂	semidirect
32. C₂×#11758226	C₂²	semidirect
33. C₂×#11758222	C₂²	semidirect
34. C₂×#11758224	C₂²	semidirect
35. C₂²×D₂₄₄	C₂²	semidirect
36. C₂²×D₂₄₄	C₂²	semidirect
37. C₂²×D₂₄₄	C₂²	semidirect
38. C₂²×D₂₄₄	C₂²	semidirect
40. C₂×D₄×D₆₁	C₂²	semidirect
41. C₂×D₄×D₆₁	C₂²	semidirect
42. C₂×D₄×D₆₁	C₂²	semidirect
43. C₂²×C₄×D₆₁	C₂²	semidirect
44. #14519774	C₂²	semidirect
45. #14519773	C₂²	semidirect
46. #14519772	C₂²	semidirect
47. #14519772	C₂²	semidirect
48. #14519772	C₂²	semidirect
49. #14519772	C₂²	semidirect
50. #14519772	C₂²	semidirect
51. #14519771	C₂²	semidirect
52. #14519767	C₂²	semidirect
53. #14519767	C₂²	semidirect
54. #14519766	C₂²	semidirect
55. #14519766	C₂²	semidirect
56. #14519765	C₂²	semidirect
57. #14519765	C₂²	semidirect
58. #14519763	C₂²	semidirect
59. #14519763	C₂²	semidirect
60. #14519762	C₂²	semidirect
61. #14519762	C₂²	semidirect
62. #14519762	C₂²	semidirect
63. #14519762	C₂²	semidirect
64. #14519762	C₂²	semidirect
65. #14519762	C₂²	semidirect
66. #14519762	C₂²	semidirect
67. #14519762	C₂²	semidirect
68. #14519762	C₂²	semidirect
69. #14519762	C₂²	semidirect
70. #14519762	C₂²	semidirect
71. #14519762	C₂²	semidirect
72. #14519762	C₂²	semidirect
73. #14519762	C₂²	semidirect
74. #14519762	C₂²	semidirect
75. #14519761	C₂²	semidirect
76. #14519761	C₂²	semidirect
77. #14519760	C₂²	semidirect
78. #14519760	C₂²	semidirect
79. #14519760	C₂²	semidirect
80. #14519759	C₂²	semidirect
81. #14519759	C₂²	semidirect
82. #14519759	C₂²	semidirect
83. #14519758	C₂²	semidirect
84. #14519757	C₂²	semidirect
85. #14519756	C₂²	semidirect
86. #14519755	C₂²	semidirect
87. #14519755	C₂²	semidirect
88. #14519755	C₂²	semidirect
89. #14519755	C₂²	semidirect
90. #14519755	C₂²	semidirect
91. #14519755	C₂²	semidirect
92. #14519753	C₂²	semidirect
94. #14519752	C₂²	semidirect
95. #14519752	C₂²	semidirect
96. #14519752	C₂²	semidirect
97. #14519752	C₂²	semidirect
98. #14519752	C₂²	semidirect
99. #14519752	C₂²	semidirect
100. #14519752	C₂²	semidirect
101. #14519752	C₂²	semidirect
102. #14519752	C₂²	semidirect
103. #14519752	C₂²	semidirect
104. #14519752	C₂²	semidirect
105. #14519752	C₂²	semidirect
106. #14519752	C₂²	semidirect
107. #14519752	C₂²	semidirect
108. #14519752	C₂²	semidirect
109. #14519752	C₂²	semidirect
110. #14519752	C₂²	semidirect
111. #14519752	C₂²	semidirect
113. #14519751	C₂²	semidirect
114. #14519751	C₂²	semidirect
115. #14519751	C₂²	semidirect
116. #14519750	C₂²	semidirect
117. #14519750	C₂²	semidirect
118. #14519750	C₂²	semidirect
119. #14519750	C₂²	semidirect
120. #14519750	C₂²	semidirect
121. #14519750	C₂²	semidirect
122. #14519750	C₂²	semidirect
123. #14519750	C₂²	semidirect
124. #14519750	C₂²	semidirect
125. #14519750	C₂²	semidirect
126. #14519750	C₂²	semidirect
127. #14519749	C₂²	semidirect
129. #14519747	C₂²	semidirect
130. #14519747	C₂²	semidirect
131. #14519747	C₂²	semidirect
132. #14519747	C₂²	semidirect
133. #14519747	C₂²	semidirect
134. #14519747	C₂²	semidirect
135. #14519747	C₂²	semidirect
136. #14519747	C₂²	semidirect
137. #14519747	C₂²	semidirect
138. #14519747	C₂²	semidirect
139. #14519747	C₂²	semidirect
141. #14519745	C₂²	semidirect
142. #14519745	C₂²	semidirect
143. #14519745	C₂²	semidirect
144. C₄×D₂₄₄	C₂²	semidirect
145. C₄×D₂₄₄	C₂²	semidirect
146. C₄×D₂₄₄	C₂²	semidirect
147. #14519739	C₂²	semidirect
148. #14519739	C₂²	semidirect
149. #14519739	C₂²	semidirect
150. #14519739	C₂²	semidirect
151. #14519739	C₂²	semidirect
152. C₄×C₂²⋊D₆₁	C₂²	semidirect
153. C₄×C₂²⋊D₆₁	C₂²	semidirect
154. C₄×C₂²⋊D₆₁	C₂²	semidirect
155. #14519737	C₂²	semidirect
156. #14519737	C₂²	semidirect
157. #14519737	C₂²	semidirect
158. #14519735	C₂²	semidirect
159. #14519734	C₂²	semidirect
160. #14519733	C₂²	semidirect
161. C₄⋊C₄×D₆₁	C₂²	semidirect
162. C₄⋊C₄×D₆₁	C₂²	semidirect
163. C₂×#11758198	C₂²	semidirect
164. C₂×#11758198	C₂²	semidirect
165. C₂×#11758198	C₂²	semidirect
166. C₂²⋊C₄×D₆₁	C₂²	semidirect
167. C₂²⋊C₄×D₆₁	C₂²	semidirect
168. C₂²⋊C₄×D₆₁	C₂²	semidirect
169. C₂²⋊C₄×D₆₁	C₂²	semidirect
170. C₂²⋊C₄×D₆₁	C₂²	semidirect
171. C₂²⋊C₄×D₆₁	C₂²	semidirect
172. #126×C₆₁	C₂²	semidirect
173. #126×C₆₁	C₂²	semidirect
174. #125×C₆₁	C₂²	semidirect
175. #125×C₆₁	C₂²	semidirect
176. #123×C₆₁	C₂²	semidirect
177. #123×C₆₁	C₂²	semidirect
178. #123×C₆₁	C₂²	semidirect
179. #123×C₆₁	C₂²	semidirect
180. C₂²⋊Q₈×C₆₁	C₂²	semidirect
181. C₂²⋊Q₈×C₆₁	C₂²	semidirect
182. C₂²⋊Q₈×C₆₁	C₂²	semidirect
184. C₄×D₄×C₆₁	C₂²	semidirect
185. C₄×D₄×C₆₁	C₂²	semidirect
186. C₂×C₄⋊C₄×C₆₁	C₂²	semidirect
561. #539	D₆₁	semidirect
572. C₆₁	#3534	semidirect
593. #126	C₂×D₆₁	semidirect
594. #126	C₂×D₆₁	semidirect
597. #125	C₂×D₆₁	semidirect
598. #125	C₂×D₆₁	semidirect
629. #123	C₂×D₆₁	semidirect
630. #123	C₂×D₆₁	semidirect
631. #123	C₂×D₆₁	semidirect
632. #123	C₂×D₆₁	semidirect
642. C₂²⋊Q₈	C₂×D₆₁	semidirect
643. C₂²⋊Q₈	C₂×D₆₁	semidirect
644. C₂²⋊Q₈	C₂×D₆₁	semidirect
711. C₄×D₄	C₂×D₆₁	semidirect
712. C₄×D₄	C₂×D₆₁	semidirect
718. C₂×C₄⋊C₄	C₂×D₆₁	semidirect