Subgroups — #29887665

Order 15616.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1456 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21454168	C₂	1	1	yes	maximal, characteristic, complemented
2	#21454124	C₂	1	1	yes	maximal, characteristic, complemented
3	#21453791	C₂	1	1	yes	maximal, characteristic, complemented
4	#21453789	C₂	1	1	yes	maximal, characteristic, complemented
5	#21453563	C₂	1	1	yes	maximal, characteristic, complemented
6	#21453561	C₂	1	1	yes	maximal, characteristic, complemented
7	#21453306	C₂	1	1	yes	maximal, characteristic, complemented
8	#21453304	C₂	1	1	yes	maximal, characteristic, complemented
9	#21453235	C₂	1	1	yes	maximal, characteristic, complemented
10	#21453230	C₂	1	1	yes	maximal, characteristic, complemented
11	#21452808	C₂	1	1	yes	maximal, characteristic, complemented
12	#21452797	C₂	1	1	yes	maximal, characteristic, complemented
13	#21452705	C₂	1	1	yes	maximal, characteristic, complemented
14	#21452699	C₂	1	1	yes	maximal, characteristic, complemented
15	#21452479	C₂	1	1	yes	maximal, characteristic, complemented
16	#21452478	C₂	1	1	yes	maximal, characteristic, complemented
17	#21452471	C₂	1	1	yes	maximal, characteristic, complemented
18	#21451934	C₂	1	1	yes	maximal, characteristic, complemented
19	#21451788	C₂	1	1	yes	maximal, characteristic, complemented
20	#21450829	C₂	1	1	yes	maximal, characteristic, complemented
21	#21450824	C₂	1	1	yes	maximal, characteristic, complemented
22	#21449545	C₂	1	1	yes	maximal, characteristic, complemented
23	#21449538	C₂	1	1	yes	maximal, characteristic, complemented
24	#21449487	C₂	1	1	yes	maximal, characteristic
25	#21449482	C₂	1	1	yes	maximal, characteristic
26	#21449481	C₂	1	1	yes	maximal, characteristic
27	#21449481	C₂	1	1	yes	maximal, characteristic
28	#21448430	C₂	1	1	yes	maximal, characteristic
29	#21448413	C₂	1	1	yes	maximal, characteristic
30	#388×D₆₁	C₂	1	1	yes	maximal, characteristic
31	C₆₁×#2704	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14519775	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14519769	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14519767	C₂²	1	1	yes	characteristic, complemented
35	C₂×#14519757	C₂²	1	1	yes	characteristic
36	C₂×#14519757	C₂²	1	1	yes	characteristic
37	C₂×#14519755	C₂²	1	1	yes	characteristic
38	C₂×#14519755	C₂²	1	1	yes	characteristic
39	C₂×#14519755	C₂²	1	1	yes	characteristic
40	C₂×#14519754	C₂²	1	1	yes	characteristic
41	C₂×#14519753	C₂²	1	1	yes	characteristic
42	C₂×C₄⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
43	C₂²×#11758198	C₂²	1	1	yes	characteristic
44	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
45	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
46	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₆₁	C₂²	1	1	yes	characteristic
49	#16839704	C₂²	1	1	yes	characteristic, complemented
50	#16839704	C₂²	1	1	yes	characteristic, complemented
51	#16839704	C₂²	1	1	yes	characteristic, complemented
52	#16839703	C₂²	1	1	yes	characteristic, complemented
53	#16839703	C₂²	1	1	yes	characteristic, complemented
54	#16839703	C₂²	1	1	yes	characteristic, complemented
55	#16839701	C₂²	1	1	yes	characteristic, complemented
56	#16839700	C₂²	1	1	yes	characteristic, complemented
57	#16839698	C₂²	1	1	yes	characteristic
58	#16839698	C₂²	1	1	yes	characteristic
59	#16839697	C₂²	1	1	yes	characteristic
60	#16839697	C₂²	1	1	yes	characteristic
61	#16839696	C₂²	1	1	yes	characteristic, complemented
62	#16839695	C₂²	1	1	yes	characteristic, complemented
63	#16839695	C₂²	1	1	yes	characteristic, complemented
64	#16839695	C₂²	1	1	yes	characteristic, complemented
65	#16839695	C₂²	1	1	yes	characteristic, complemented
66	#16839695	C₂²	1	1	yes	characteristic, complemented
67	#16839694	C₂²	1	1	yes	characteristic, complemented
68	#16839693	C₂²	1	1	yes	characteristic, complemented
69	#16839693	C₂²	1	1	yes	characteristic, complemented
70	#16839693	C₂²	1	1	yes	characteristic, complemented
71	#16839693	C₂²	1	1	yes	characteristic, complemented
72	#16839692	C₂²	1	1	yes	characteristic, complemented
73	#16839692	C₂²	1	1	yes	characteristic, complemented
74	#16839686	C₂²	1	1	yes	characteristic
75	#16839685	C₂²	1	1	yes	characteristic
76	#16839685	C₂²	1	1	yes	characteristic
77	#16839684	C₂²	1	1	yes	characteristic
78	#16839684	C₂²	1	1	yes	characteristic
79	#16839684	C₂²	1	1	yes	characteristic
80	#16839683	C₂²	1	1	yes	characteristic, complemented
81	#16839683	C₂²	1	1	yes	characteristic, complemented
82	#16839683	C₂²	1	1	yes	characteristic, complemented
83	#16839683	C₂²	1	1	yes	characteristic, complemented
84	#16839682	C₂²	1	1	yes	characteristic, complemented
85	#16839682	C₂²	1	1	yes	characteristic, complemented
86	#16839682	C₂²	1	1	yes	characteristic, complemented
87	#16839675	C₂²	1	1	yes	characteristic
88	#16839674	C₂²	1	1	yes	characteristic
89	#16839674	C₂²	1	1	yes	characteristic
90	#16839673	C₂²	1	1	yes	characteristic
91	#16839669	C₂²	1	1	yes	characteristic, complemented
92	#16839668	C₂²	1	1	yes	characteristic, complemented
93	#16839668	C₂²	1	1	yes	characteristic, complemented
94	#16839666	C₂²	1	1	yes	characteristic, complemented
95	#16839666	C₂²	1	1	yes	characteristic, complemented
96	#16839661	C₂²	1	1	yes	characteristic, complemented
97	#16839659	C₂²	1	1	yes	characteristic, complemented
98	#16839659	C₂²	1	1	yes	characteristic, complemented
99	#16839659	C₂²	1	1	yes	characteristic, complemented
100	#16839659	C₂²	1	1	yes	characteristic, complemented
101	#16839659	C₂²	1	1	yes	characteristic, complemented
102	#16839658	C₂²	1	1	yes	characteristic, complemented
103	#16839658	C₂²	1	1	yes	characteristic, complemented
104	#16839658	C₂²	1	1	yes	characteristic, complemented
105	#16839657	C₂²	1	1	yes	characteristic, complemented
106	#16839657	C₂²	1	1	yes	characteristic, complemented
107	#16839657	C₂²	1	1	yes	characteristic, complemented
108	#16839656	C₂²	1	1	yes	characteristic
109	#16839656	C₂²	1	1	yes	characteristic
110	#16839655	C₂²	1	1	yes	characteristic
111	#16839655	C₂²	1	1	yes	characteristic
112	#16839654	C₂²	1	1	yes	characteristic
113	#16839654	C₂²	1	1	yes	characteristic
114	#16839653	C₂²	1	1	yes	characteristic
115	#16839653	C₂²	1	1	yes	characteristic
116	#16839652	C₂²	1	1	yes	characteristic
117	#16839652	C₂²	1	1	yes	characteristic
118	#16839651	C₂²	1	1	yes	characteristic
119	#16839651	C₂²	1	1	yes	characteristic
120	#16839650	C₂²	1	1	yes	characteristic
121	#16839650	C₂²	1	1	yes	characteristic
122	#16839643	C₂²	1	1	yes	characteristic, complemented
123	#16839643	C₂²	1	1	yes	characteristic, complemented
124	#16839643	C₂²	1	1	yes	characteristic, complemented
125	#16839643	C₂²	1	1	yes	characteristic, complemented
126	#16839637	C₂²	1	1	yes	characteristic
127	#16839637	C₂²	1	1	yes	characteristic
128	#16839636	C₂²	1	1	yes	characteristic
129	#16839636	C₂²	1	1	yes	characteristic
130	#16839636	C₂²	1	1	yes	characteristic
131	#16839636	C₂²	1	1	yes	characteristic
132	#16839636	C₂²	1	1	yes	characteristic
133	#16839635	C₂²	1	1	yes	characteristic
134	#16839635	C₂²	1	1	yes	characteristic
135	#16839635	C₂²	1	1	yes	characteristic
136	#16839634	C₂²	1	1	yes	characteristic
137	#16839634	C₂²	1	1	yes	characteristic
138	#16839633	C₂²	1	1	yes	characteristic
139	#16839633	C₂²	1	1	yes	characteristic
140	#16839633	C₂²	1	1	yes	characteristic
141	#16839633	C₂²	1	1	yes	characteristic
142	#16839633	C₂²	1	1	yes	characteristic
143	#16839633	C₂²	1	1	yes	characteristic
144	#16839633	C₂²	1	1	yes	characteristic
145	#16839633	C₂²	1	1	yes	characteristic
146	#16839633	C₂²	1	1	yes	characteristic
147	#16839633	C₂²	1	1	yes	characteristic
148	#16839633	C₂²	1	1	yes	characteristic
149	#16839631	C₂²	1	1	yes	characteristic, complemented
150	#16839628	C₂²	1	1	yes	characteristic, complemented
151	#16839627	C₂²	1	1	yes	characteristic, complemented
152	#16839626	C₂²	1	1	yes	characteristic, complemented
153	#16839621	C₂²	1	1	yes	characteristic
154	#16839621	C₂²	1	1	yes	characteristic
155	#16839621	C₂²	1	1	yes	characteristic
156	#16839621	C₂²	1	1	yes	characteristic
157	#16839621	C₂²	1	1	yes	characteristic
158	#16839621	C₂²	1	1	yes	characteristic
159	#16839620	C₂²	1	1	yes	characteristic
160	#16839619	C₂²	1	1	yes	characteristic
161	#16839619	C₂²	1	1	yes	characteristic
162	#16839619	C₂²	1	1	yes	characteristic
163	#16839619	C₂²	1	1	yes	characteristic
164	#16839619	C₂²	1	1	yes	characteristic
165	#16839619	C₂²	1	1	yes	characteristic
166	#16839617	C₂²	1	1	yes	characteristic
167	#16839617	C₂²	1	1	yes	characteristic
168	C₄×#11758198	C₂²	1	1	yes	characteristic
169	#16839609	C₂²	1	1	yes	characteristic
170	#95×D₆₁	C₂²	1	1	yes	characteristic
171	#95×D₆₁	C₂²	1	1	yes	characteristic
172	C₂×#125×C₆₁	C₂²	1	1	yes	characteristic, complemented
173	C₂×C₂²⋊Q₈×C₆₁	C₂²	1	1	yes	characteristic
174	C₆₁×#398	C₂²	1	1	yes	characteristic, complemented
175	C₆₁×#398	C₂²	1	1	yes	characteristic, complemented
176	C₆₁×#398	C₂²	1	1	yes	characteristic, complemented
177	C₆₁×#396	C₂²	1	1	yes	characteristic
178	C₆₁×#396	C₂²	1	1	yes	characteristic
179	C₆₁×#395	C₂²	1	1	yes	characteristic, complemented
180	C₆₁×#391	C₂²	1	1	yes	characteristic, complemented
181	C₆₁×#389	C₂²	1	1	yes	characteristic, complemented
182	C₆₁×#389	C₂²	1	1	yes	characteristic, complemented
183	C₆₁×#388	C₂²	1	1	yes	characteristic
184	C₆₁×#388	C₂²	1	1	yes	characteristic
185	C₆₁×#385	C₂²	1	1	yes	characteristic
186	C₆₁×#380	C₂²	1	1	yes	characteristic
187	C₂⁴×D₆₁	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₂₂	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₂₂	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₂₂	C₂³	1	1	yes	characteristic
191	C₂³×Dic₆₁	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
200	#14519775	—	4	2	no	—
201	#14519769	—	4	2	no	—
202	#14519767	—	4	2	no	—
203	#14519757	—	4	2	no	—
204	#14519757	—	4	2	no	—
205	#14519755	—	4	2	no	—
206	#14519755	—	4	2	no	—
207	#14519755	—	4	2	no	—
208	#14519754	—	4	2	no	—
209	#14519753	—	4	2	no	—
210	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
215	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₆₁	C₂³	1	1	yes	characteristic
221	C₂×#11758196	C₂³	1	1	yes	characteristic
222	C₂×#11758196	C₂³	1	1	yes	characteristic
223	C₂×#11758196	C₂³	1	1	yes	characteristic
224	C₂×#11758196	C₂³	1	1	yes	characteristic
225	C₂×#11758196	C₂³	1	1	yes	characteristic
226	C₂×#11758196	C₂³	1	1	yes	characteristic
227	C₂×#11758196	C₂³	1	1	yes	characteristic
228	C₂×#11758196	C₂³	1	1	yes	characteristic
229	C₂×#11758196	C₂³	1	1	yes	characteristic
230	C₂×#11758196	C₂³	1	1	yes	characteristic
231	C₂×#11758196	C₂³	1	1	yes	characteristic
232	C₂×#11758196	C₂³	1	1	yes	characteristic
233	C₂×#11758196	C₂³	1	1	yes	characteristic
234	C₂×#11758196	C₂³	1	1	yes	characteristic
235	C₂×#11758196	C₂³	1	1	yes	characteristic
236	C₂×#11758196	C₂³	1	1	yes	characteristic
237	C₂×#11758196	C₂³	1	1	yes	characteristic
238	C₂×#11758196	C₂³	1	1	yes	characteristic
239	C₂×#11758196	C₂³	1	1	yes	characteristic
240	C₂×#11758196	C₂³	1	1	yes	characteristic
241	C₂×#11758196	C₂³	1	1	yes	characteristic
242	C₂×#11758196	C₂³	1	1	yes	characteristic
243	C₂×#11758196	C₂³	1	1	yes	characteristic
244	C₂×#11758196	C₂³	1	1	yes	characteristic
245	C₂×#11758196	C₂³	1	1	yes	characteristic
246	C₂×#11758196	C₂³	1	1	yes	characteristic
247	C₄⋊C₄×D₆₁	—	4	2	no	—
248	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₆₁	C₂³	1	1	yes	characteristic
254	C₂×#11758198	—	4	2	no	—
255	C₂×#11758198	C₂³	1	1	yes	characteristic
256	C₂×#11758198	C₂³	1	1	yes	characteristic
257	C₂×#11758198	C₂³	1	1	yes	characteristic
258	C₂×#11758198	C₂³	1	1	yes	characteristic
259	C₂×#11758198	C₂³	1	1	yes	characteristic
260	C₂×#11758198	C₂³	1	1	yes	characteristic
261	C₂×#11758198	C₂³	1	1	yes	characteristic
262	C₂×#11758198	C₂³	1	1	yes	characteristic
263	C₂×#11758198	C₂³	1	1	yes	characteristic
264	C₂×#11758198	C₂³	1	1	yes	characteristic
265	C₂×#11758198	C₂³	1	1	yes	characteristic
266	C₂×#11758198	C₂³	1	1	yes	characteristic
267	C₂×#11758198	C₂³	1	1	yes	characteristic
268	C₂×#11758198	C₂³	1	1	yes	characteristic
269	C₂×#11758198	C₂³	1	1	yes	characteristic
270	C₂×#11758198	C₂³	1	1	yes	characteristic
271	C₂×#11758198	C₂³	1	1	yes	characteristic
272	C₂×#11758198	C₂³	1	1	yes	characteristic
273	C₂×#11758198	C₂³	1	1	yes	characteristic
274	C₂×#11758198	C₂³	1	1	yes	characteristic
275	C₂²⋊C₄×D₆₁	—	4	2	no	—
276	C₂²⋊C₄×D₆₁	—	4	2	no	—
277	C₂²⋊C₄×D₆₁	—	4	2	no	—
278	C₂²⋊C₄×D₆₁	Q₈	1	8	yes	complemented
279	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
285	C₄²×D₆₁	—	4	2	no	—
286	#14519684	C₂³	1	1	yes	characteristic
287	#14519684	C₂³	1	1	yes	characteristic
288	#14519684	C₂³	1	1	yes	characteristic
289	#14519684	C₂³	1	1	yes	characteristic
290	#14519684	C₂³	1	1	yes	characteristic
291	#14519684	C₂³	1	1	yes	characteristic
292	#14519684	C₂³	1	1	yes	characteristic
293	#14519684	C₂³	1	1	yes	characteristic
294	#14519684	C₂³	1	1	yes	characteristic
295	#14519684	C₂³	1	1	yes	characteristic
296	#14519684	C₂³	1	1	yes	characteristic
297	#14519684	C₂³	1	1	yes	characteristic
298	#14519684	C₂³	1	1	yes	characteristic
299	#14519684	C₂³	1	1	yes	characteristic
300	#14519684	C₂³	1	1	yes	characteristic
301	#14519684	C₂³	1	1	yes	characteristic
302	#14519684	C₂³	1	1	yes	characteristic
303	#14519684	C₂³	1	1	yes	characteristic
304	#14519684	C₂³	1	1	yes	characteristic
305	#14519684	C₂³	1	1	yes	characteristic
306	#14519684	C₂³	1	1	yes	characteristic
307	#14519684	C₂³	1	1	yes	characteristic
308	#14519684	C₂³	1	1	yes	characteristic
309	#14519684	C₂³	1	1	yes	characteristic
310	#14519684	C₂³	1	1	yes	characteristic
311	#14519684	C₂³	1	1	yes	characteristic
312	#14519684	C₂³	1	1	yes	characteristic
313	#14519684	C₂³	1	1	yes	characteristic
314	#14519684	C₂³	1	1	yes	characteristic
315	#14519684	C₂³	1	1	yes	characteristic
316	#14519684	C₂³	1	1	yes	characteristic
317	#14519684	C₂³	1	1	yes	characteristic
318	#14519684	C₂³	1	1	yes	characteristic
319	#14519684	C₂³	1	1	yes	characteristic
320	#14519684	C₂³	1	1	yes	characteristic
321	#14519684	C₂³	1	1	yes	characteristic
322	#14519684	C₂³	1	1	yes	characteristic
323	#14519684	C₂³	1	1	yes	characteristic
324	C₂²×Q₈×C₆₁	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₆₁	C₂³	1	1	yes	characteristic
326	#125×C₆₁	—	4	2	no	—
327	C₂²⋊Q₈×C₆₁	—	4	2	no	—
328	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₆₁	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₆₁	C₂³	1	1	yes	characteristic
351	#95×C₆₁	C₂³	1	1	yes	characteristic
352	#95×C₆₁	C₂³	1	1	yes	characteristic
353	#95×C₆₁	C₂³	1	1	yes	characteristic
354	#95×C₆₁	C₂³	1	1	yes	characteristic
355	#95×C₆₁	C₂³	1	1	yes	characteristic
356	#95×C₆₁	C₂³	1	1	yes	characteristic
357	#95×C₆₁	C₂³	1	1	yes	characteristic
358	#95×C₆₁	C₂³	1	1	yes	characteristic
359	#95×C₆₁	C₂³	1	1	yes	characteristic
360	#95×C₆₁	C₂³	1	1	yes	characteristic
361	C₂⁴×C₆₁	C₂⁴	1	1	yes	characteristic
362	C₂³×D₆₁	—	2	2	no	—
363	C₂³×D₆₁	—	2	2	no	—
364	C₂³×D₆₁	—	4	1	no	—
365	C₂³×D₆₁	—	4	1	no	—
366	C₂³×D₆₁	—	4	1	no	—
367	C₂³×D₆₁	—	4	1	no	—
368	C₂³×D₆₁	C₂×Q₈	1	4	yes	—
369	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
370	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
371	C₂×Q₈×C₆₁	—	2	2	no	—
372	C₂×Q₈×C₆₁	—	4	1	no	—
373	C₂×Q₈×C₆₁	—	4	1	no	—
374	C₂²×C₄×C₆₁	—	4	1	no	—
375	C₂²×C₄×C₆₁	—	4	1	no	—
376	C₂²×C₄×C₆₁	—	4	1	no	—
377	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₆₁	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₆₁	—	4	1	no	—
392	C₂²×Dic₆₁	—	4	1	no	—
393	C₂²×Dic₆₁	—	4	1	no	—
394	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
408	C₂×C₄×D₆₁	—	2	2	no	—
409	C₂×C₄×D₆₁	—	2	2	no	—
410	C₂×C₄×D₆₁	—	2	2	no	—
411	C₂×C₄×D₆₁	—	2	2	no	—
412	C₂×C₄×D₆₁	—	2	2	no	—
413	C₂×C₄×D₆₁	—	2	2	no	—
414	C₂×C₄×D₆₁	—	4	1	no	—
415	C₂×C₄×D₆₁	—	4	1	no	—
416	C₂×C₄×D₆₁	—	4	1	no	—
417	C₂×C₄×D₆₁	—	4	1	no	—
418	C₂×C₄×D₆₁	—	4	1	no	—
419	C₂×C₄×D₆₁	—	4	1	no	—
420	C₂×C₄×D₆₁	—	4	1	no	—
421	C₂×C₄×D₆₁	—	4	1	no	—
422	C₂×C₄×D₆₁	—	4	1	no	—
423	C₂×C₄×D₆₁	—	4	1	no	—
424	C₂×C₄×D₆₁	—	4	1	no	—
425	C₂×C₄×D₆₁	—	4	1	no	—
426	C₂×C₄×D₆₁	—	4	1	no	—
427	C₂×C₄×D₆₁	—	4	1	no	—
428	C₂×C₄×D₆₁	—	4	1	no	—
429	C₂×C₄×D₆₁	—	4	1	no	—
430	C₂×C₄×D₆₁	C₂×Q₈	1	4	yes	—
431	C₂×C₄×D₆₁	C₂×Q₈	1	4	yes	—
432	C₂×Dic₁₂₂	—	2	2	no	—
433	C₂×Dic₁₂₂	—	4	1	no	—
434	C₂×Dic₁₂₂	—	4	1	no	—
435	C₂×Dic₁₂₂	—	4	1	no	—
436	C₂×Dic₁₂₂	—	4	1	no	—
437	C₂×Dic₁₂₂	—	4	1	no	—
438	C₂×Dic₁₂₂	—	4	1	no	—
439	C₂×Dic₁₂₂	—	4	1	no	—
440	C₂×Dic₁₂₂	—	4	1	no	—
441	C₄⋊C₄×C₆₁	—	2	2	no	—
442	C₄⋊C₄×C₆₁	—	2	2	no	—
443	C₄⋊C₄×C₆₁	—	4	1	no	—
444	C₄⋊C₄×C₆₁	—	4	1	no	—
445	C₄⋊C₄×C₆₁	—	4	1	no	—
446	C₄⋊C₄×C₆₁	—	4	1	no	—
447	C₄⋊C₄×C₆₁	—	4	1	no	—
448	C₄⋊C₄×C₆₁	—	4	1	no	—
449	C₄⋊C₄×C₆₁	—	4	1	no	—
450	C₄⋊C₄×C₆₁	—	4	1	no	—
451	C₄⋊C₄×C₆₁	—	4	1	no	—
452	C₄⋊C₄×C₆₁	—	4	1	no	—
453	C₄⋊C₄×C₆₁	—	4	1	no	—
454	C₄⋊C₄×C₆₁	—	4	1	no	—
455	C₄⋊C₄×C₆₁	—	4	1	no	—
456	C₂²⋊C₄×C₆₁	—	2	2	no	—
457	C₂²⋊C₄×C₆₁	—	4	1	no	—
458	C₂²⋊C₄×C₆₁	—	4	1	no	—
459	C₂²⋊C₄×C₆₁	—	4	1	no	—
460	C₂²⋊C₄×C₆₁	—	4	1	no	—
461	C₂²⋊C₄×C₆₁	C₂×Q₈	1	4	yes	—
462	C₄²×C₆₁	—	2	2	no	—
463	C₄²×C₆₁	—	4	1	no	—
464	C₂²⋊Dic₆₁	—	2	2	no	—
465	C₂²⋊Dic₆₁	—	4	1	no	—
466	C₂²⋊Dic₆₁	—	4	1	no	—
467	C₂²⋊Dic₆₁	—	4	1	no	—
468	C₂²⋊Dic₆₁	—	4	1	no	—
469	C₂²⋊Dic₆₁	C₂×Q₈	1	4	yes	—
470	#11758198	—	2	2	no	—
471	#11758198	—	2	2	no	—
472	#11758198	—	2	2	no	—
473	#11758198	—	2	2	no	—
474	#11758198	—	2	2	no	—
475	#11758198	—	2	2	no	—
476	#11758198	—	2	2	no	—
477	#11758198	—	2	2	no	—
478	#11758198	—	2	2	no	—
479	#11758198	—	2	2	no	—
480	#11758198	—	4	1	no	—
481	#11758198	—	4	1	no	—
482	#11758198	—	4	1	no	—
483	#11758198	—	4	1	no	—
484	#11758198	—	4	1	no	—
485	#11758198	—	4	1	no	—
486	#11758198	—	4	1	no	—
487	#11758198	—	4	1	no	—
488	#11758198	C₂×Q₈	1	4	yes	—
489	#11758198	C₂×Q₈	1	4	yes	—
490	C₄⋊Dic₆₁	—	2	2	no	—
491	C₄⋊Dic₆₁	—	4	1	no	—
492	C₄⋊Dic₆₁	—	4	1	no	—
493	C₄⋊Dic₆₁	—	4	1	no	—
494	C₄⋊Dic₆₁	—	4	1	no	—
495	C₄⋊Dic₆₁	—	4	1	no	—
496	C₄⋊Dic₆₁	—	4	1	no	—
497	C₄⋊Dic₆₁	—	4	1	no	—
498	C₄⋊Dic₆₁	—	4	1	no	—
499	C₄⋊Dic₆₁	—	4	1	no	—
500	C₄⋊Dic₆₁	—	4	1	no	—
501	#11758196	—	2	2	no	—
502	#11758196	—	2	2	no	—
503	#11758196	—	2	2	no	—
504	#11758196	—	2	2	no	—
505	#11758196	—	2	2	no	—
506	#11758196	—	4	1	no	—
507	#11758196	—	4	1	no	—
508	#11758196	—	4	1	no	—
509	#11758196	—	4	1	no	—
510	#11758196	—	4	1	no	—
511	#11758196	—	4	1	no	—
512	#11758196	—	4	1	no	—
513	#11758196	—	4	1	no	—
514	#11758196	—	4	1	no	—
515	#11758196	—	4	1	no	—
516	#11758196	—	4	1	no	—
517	#11758196	—	4	1	no	—
518	#11758196	—	4	1	no	—
519	#11758196	—	4	1	no	—
520	#11758196	—	4	1	no	—
521	#11758196	—	4	1	no	—
522	#11758196	—	4	1	no	—
523	#11758196	—	4	1	no	—
524	#11758196	—	4	1	no	—
525	#11758196	—	4	1	no	—
526	#11758196	—	4	1	no	—
527	C₄×Dic₆₁	—	2	2	no	—
528	C₄×Dic₆₁	—	4	1	no	—
529	C₄×Dic₆₁	—	4	1	no	—
530	C₄×Dic₆₁	—	4	1	no	—
531	C₄×Dic₆₁	—	4	1	no	—
532	C₄×Dic₆₁	—	4	1	no	—
533	C₂³×C₆₁	—	2	1	no	—
534	C₂³×C₆₁	—	2	1	no	—
535	C₂³×C₆₁	—	2	1	no	—
536	C₂³×C₆₁	—	2	1	no	—
537	C₂³×C₆₁	—	2	1	no	—
538	C₂³×C₆₁	—	2	1	no	—
539	C₂³×C₆₁	C₂²×Q₈	1	2	yes	—
540	C₂³×C₆₁	C₂⁵	1	1	yes	characteristic
541	C₂²×D₆₁	—	2	1	no	—
542	C₂²×D₆₁	—	2	1	no	—
543	C₂²×D₆₁	—	2	1	no	—
544	C₂²×D₆₁	—	2	1	no	—
545	C₂²×D₆₁	—	2	1	no	—
546	C₂²×D₆₁	—	2	1	no	—
547	C₂²×D₆₁	—	2	1	no	—
548	C₂²×D₆₁	—	2	1	no	—
549	C₂²×D₆₁	—	2	1	no	—
550	C₂²×D₆₁	—	2	1	no	—
551	C₂²×D₆₁	—	2	8	no	—
552	C₂²×D₆₁	—	4	4	no	—
553	C₂²×D₆₁	—	4	4	no	—
554	C₂²×D₆₁	—	8	2	no	—
555	C₂²×D₆₁	—	8	2	no	—
556	C₂²×D₆₁	—	8	2	no	—
557	C₂²×D₆₁	—	8	2	no	—
558	C₂²×D₆₁	C₂²×Q₈	1	2	yes	—
559	C₂²×D₆₁	C₂²×Q₈	1	2	yes	—
560	C₂²×D₆₁	H(5,𝔽₂)	1	2	yes	—
561	C₂²×D₆₁	2₋¹⁺⁴	1	2	yes	—
562	Q₈×C₆₁	—	8	2	no	—
563	C₂×C₄×C₆₁	—	2	1	no	—
564	C₂×C₄×C₆₁	—	2	1	no	—
565	C₂×C₄×C₆₁	—	2	1	no	—
566	C₂×C₄×C₆₁	—	2	1	no	—
567	C₂×C₄×C₆₁	—	2	1	no	—
568	C₂×C₄×C₆₁	—	2	1	no	—
569	C₂×C₄×C₆₁	—	2	1	no	—
570	C₂×C₄×C₆₁	—	2	1	no	—
571	C₂×C₄×C₆₁	—	2	1	no	—
572	C₂×C₄×C₆₁	—	2	1	no	—
573	C₂×C₄×C₆₁	—	2	1	no	—
574	C₂×C₄×C₆₁	—	2	1	no	—
575	C₂×C₄×C₆₁	—	2	1	no	—
576	C₂×C₄×C₆₁	—	2	1	no	—
577	C₂×C₄×C₆₁	—	2	1	no	—
578	C₂×C₄×C₆₁	—	2	1	no	—
579	C₂×C₄×C₆₁	—	2	1	no	—
580	C₂×C₄×C₆₁	—	2	1	no	—
581	C₂×C₄×C₆₁	—	2	1	no	—
582	C₂×C₄×C₆₁	—	2	1	no	—
583	C₂×C₄×C₆₁	—	2	1	no	—
584	C₂×C₄×C₆₁	—	2	1	no	—
585	C₂×C₄×C₆₁	—	2	1	no	—
586	C₂×C₄×C₆₁	—	2	1	no	—
587	C₂×C₄×C₆₁	—	2	1	no	—
588	C₂×C₄×C₆₁	—	2	1	no	—
589	C₂×C₄×C₆₁	—	2	1	no	—
590	C₂×C₄×C₆₁	—	2	1	no	—
591	C₂×C₄×C₆₁	—	2	1	no	—
592	C₂×C₄×C₆₁	—	2	1	no	—
593	C₂×C₄×C₆₁	—	2	1	no	—
594	C₂×C₄×C₆₁	—	2	1	no	—
595	C₂×C₄×C₆₁	—	2	1	no	—
596	C₂×C₄×C₆₁	—	2	1	no	—
597	C₂×C₄×C₆₁	—	2	1	no	—
598	C₂×C₄×C₆₁	—	2	1	no	—
599	C₂×C₄×C₆₁	—	2	1	no	—
600	C₂×C₄×C₆₁	—	2	1	no	—
601	C₂×C₄×C₆₁	—	2	1	no	—
602	C₂×C₄×C₆₁	—	8	2	no	—
603	C₂×C₄×C₆₁	C₂²×Q₈	1	2	yes	—
604	C₂×C₄×C₆₁	C₂²×Q₈	1	2	yes	—
605	C₂×C₄×C₆₁	H(5,𝔽₂)	1	2	yes	—
606	C₂×Dic₆₁	—	2	1	no	—
607	C₂×Dic₆₁	—	2	1	no	—
608	C₂×Dic₆₁	—	2	1	no	—
609	C₂×Dic₆₁	—	2	1	no	—
610	C₂×Dic₆₁	—	2	1	no	—
611	C₂×Dic₆₁	—	2	1	no	—
612	C₂×Dic₆₁	—	2	1	no	—
613	C₂×Dic₆₁	—	2	1	no	—
614	C₂×Dic₆₁	—	2	1	no	—
615	C₂×Dic₆₁	—	2	1	no	—
616	C₂×Dic₆₁	—	2	1	no	—
617	C₂×Dic₆₁	—	2	1	no	—
618	C₂×Dic₆₁	—	2	1	no	—
619	C₂×Dic₆₁	—	2	1	no	—
620	C₂×Dic₆₁	—	2	1	no	—
621	C₂×Dic₆₁	—	2	1	no	—
622	C₂×Dic₆₁	—	2	1	no	—
623	C₂×Dic₆₁	—	2	1	no	—
624	C₂×Dic₆₁	—	2	1	no	—
625	C₂×Dic₆₁	—	2	1	no	—
626	C₂×Dic₆₁	—	2	1	no	—
627	C₂×Dic₆₁	—	2	1	no	—
628	C₂×Dic₆₁	—	2	1	no	—
629	C₂×Dic₆₁	—	2	1	no	—
630	C₂×Dic₆₁	—	2	1	no	—
631	C₂×Dic₆₁	—	2	1	no	—
632	C₂×Dic₆₁	—	2	1	no	—
633	C₂×Dic₆₁	—	2	1	no	—
634	C₂×Dic₆₁	—	2	1	no	—
635	C₂×Dic₆₁	—	2	1	no	—
636	C₂×Dic₆₁	—	2	1	no	—
637	C₂×Dic₆₁	—	2	1	no	—
638	C₂×Dic₆₁	—	2	1	no	—
639	C₂×Dic₆₁	—	2	1	no	—
640	C₂×Dic₆₁	—	2	1	no	—
641	C₂×Dic₆₁	—	2	1	no	—
642	C₂×Dic₆₁	—	2	1	no	—
643	C₂×Dic₆₁	—	2	1	no	—
644	C₂×Dic₆₁	—	2	1	no	—
645	C₂×Dic₆₁	—	8	2	no	—
646	C₂×Dic₆₁	C₂²×Q₈	1	2	yes	—
647	C₂×Dic₆₁	C₂²×Q₈	1	2	yes	—
648	C₂×Dic₆₁	H(5,𝔽₂)	1	2	yes	—
649	C₄×D₆₁	—	4	4	no	—
650	C₄×D₆₁	—	4	4	no	—
651	C₄×D₆₁	—	4	4	no	—
652	C₄×D₆₁	—	4	4	no	—
653	C₄×D₆₁	—	8	2	no	—
654	C₄×D₆₁	—	8	2	no	—
655	C₄×D₆₁	—	8	2	no	—
656	C₄×D₆₁	—	8	2	no	—
657	Dic₁₂₂	—	8	2	no	—
658	Dic₁₂₂	—	8	2	no	—
659	Dic₁₂₂	—	8	2	no	—
660	#36750	—	61	1	no	maximal, Sylow
661	C₂²×C₆₁	—	2	2	no	—
662	C₂²×C₆₁	—	2	2	no	—
663	C₂²×C₆₁	—	2	2	no	—
664	C₂²×C₆₁	—	4	1	no	—
665	C₂²×C₆₁	—	4	1	no	—
666	C₂²×C₆₁	—	4	1	no	—
667	C₂²×C₆₁	—	4	1	no	—
668	C₂²×C₆₁	C₂³×Q₈	1	1	yes	characteristic
669	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
670	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
671	C₂²×C₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
672	C₂²×C₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
673	C₂²×C₆₁	#585	1	1	yes	characteristic
674	C₂²×C₆₁	#585	1	1	yes	characteristic
675	C₂×D₆₁	—	2	2	no	—
676	C₂×D₆₁	—	2	2	no	—
677	C₂×D₆₁	—	2	2	no	—
678	C₂×D₆₁	—	2	2	no	—
679	C₂×D₆₁	—	2	2	no	—
680	C₂×D₆₁	—	2	2	no	—
681	C₂×D₆₁	—	2	2	no	—
682	C₂×D₆₁	—	2	2	no	—
683	C₂×D₆₁	—	2	2	no	—
684	C₂×D₆₁	—	4	1	no	—
685	C₂×D₆₁	—	4	1	no	—
686	C₂×D₆₁	—	4	1	no	—
687	C₂×D₆₁	—	4	1	no	—
688	C₂×D₆₁	—	8	8	no	—
689	C₂×D₆₁	#544	1	4	yes	—
690	C₄×C₆₁	—	2	2	no	—
691	C₄×C₆₁	—	2	2	no	—
692	C₄×C₆₁	—	2	2	no	—
693	C₄×C₆₁	—	4	1	no	—
694	C₄×C₆₁	—	4	1	no	—
695	C₄×C₆₁	—	4	1	no	—
696	C₄×C₆₁	—	4	1	no	—
697	C₄×C₆₁	—	4	1	no	—
698	C₄×C₆₁	—	4	1	no	—
699	C₄×C₆₁	—	4	1	no	—
700	C₄×C₆₁	—	4	1	no	—
701	C₄×C₆₁	—	4	1	no	—
702	C₄×C₆₁	—	4	1	no	—
703	C₄×C₆₁	—	4	1	no	—
704	Dic₆₁	—	2	2	no	—
705	Dic₆₁	—	2	2	no	—
706	Dic₆₁	—	2	2	no	—
707	Dic₆₁	—	4	1	no	—
708	Dic₆₁	—	4	1	no	—
709	Dic₆₁	—	4	1	no	—
710	Dic₆₁	—	4	1	no	—
711	Dic₆₁	—	4	1	no	—
712	Dic₆₁	—	4	1	no	—
713	Dic₆₁	—	4	1	no	—
714	Dic₆₁	—	4	1	no	—
715	Dic₆₁	—	4	1	no	—
716	Dic₆₁	—	4	1	no	—
717	Dic₆₁	—	4	1	no	—
718	#2857	—	61	1	no	—
719	#2851	—	61	1	no	—
720	#2807	—	61	1	no	—
721	#2807	—	61	1	no	—
722	#2788	—	61	1	no	—
723	#2788	—	61	1	no	—
724	#2768	—	61	1	no	—
725	#2768	—	61	1	no	—
726	#2763	—	61	1	no	—
727	#2763	—	61	1	no	—
728	#2729	—	61	1	no	—
729	#2729	—	61	1	no	—
730	#2720	—	61	1	no	—
731	#2720	—	61	1	no	—
732	#2704	—	61	1	no	—
733	#2704	—	61	1	no	—
734	#2704	—	61	1	no	—
735	#2704	D₆₁	1	1	yes	characteristic, complemented
736	#2659	—	61	1	no	—
737	#2646	—	61	1	no	—
738	#2549	—	61	1	no	—
739	#2549	—	61	1	no	—
740	#2442	—	61	1	no	—
741	#2442	—	61	1	no	—
742	#2437	—	61	1	no	—
743	#2437	—	61	1	no	—
744	#2437	—	61	1	no	—
745	#2437	—	61	1	no	—
746	#2315	—	61	1	no	—
747	#2312	—	61	1	no	—
748	C₂×#388	—	61	1	no	—
749	C₂×C₆₁	—	4	2	no	—
750	C₂×C₆₁	C₂×#544	1	1	yes	characteristic
751	C₂×C₆₁	#3501	1	1	yes	characteristic
752	C₂×C₆₁	#3501	1	1	yes	characteristic
753	C₂×C₆₁	#3534	1	1	yes	characteristic
754	C₂×C₆₁	#3536	1	1	yes	characteristic
755	C₂×C₆₁	#3558	1	1	yes	characteristic
756	C₂×C₆₁	#3564	1	1	yes	characteristic
757	D₆₁	—	2	4	no	—
758	D₆₁	—	4	2	no	—
759	C₂×C₄⋊Q₈	—	61	1	no	—
760	C₂×#125	—	61	1	no	—
761	C₂×#125	—	61	1	no	—
762	C₂×#125	C₂×D₆₁	1	1	yes	characteristic, complemented
763	C₂×C₂²⋊Q₈	—	61	1	no	—
764	C₂×C₂²⋊Q₈	—	61	1	no	—
765	C₂×C₂²⋊Q₈	—	61	1	no	—
766	C₂×C₂²⋊Q₈	—	61	1	no	—
767	C₂×C₂²⋊Q₈	—	61	1	no	—
768	C₂×C₂²⋊Q₈	—	61	1	no	—
769	C₂×C₂²⋊Q₈	—	61	1	no	—
770	C₂×C₂²⋊Q₈	C₂×D₆₁	1	1	yes	characteristic
771	C₂²×C₄⋊C₄	—	61	1	no	—
772	C₂²×C₂²⋊C₄	—	61	1	no	—
773	C₂²×C₂²⋊C₄	—	61	1	no	—
774	C₂²×C₂²⋊C₄	—	61	1	no	—
775	C₂²×C₂²⋊C₄	—	61	1	no	—
776	C₂²×C₂²⋊C₄	—	61	1	no	—
777	C₂²×C₄²	—	61	1	no	—
778	#400	—	61	1	no	—
779	#400	—	61	1	no	—
780	#400	—	61	1	no	—
781	#400	—	61	1	no	—
782	#400	—	61	1	no	—
783	#400	—	61	1	no	—
784	#400	—	61	1	no	—
785	#400	—	61	1	no	—
786	#399	—	61	1	no	—
787	#399	—	61	1	no	—
788	#399	—	61	1	no	—
789	#399	—	61	1	no	—
790	#398	—	61	1	no	—
791	#398	—	61	1	no	—
792	#398	—	61	1	no	—
793	#398	—	61	1	no	—
794	#398	—	61	1	no	—
795	#398	—	61	1	no	—
796	#398	—	61	1	no	—
797	#398	—	61	1	no	—
798	#398	—	61	1	no	—
799	#398	—	61	1	no	—
800	#398	—	61	1	no	—
801	#398	—	61	1	no	—
802	#398	—	61	1	no	—
803	#398	C₂×D₆₁	1	1	yes	characteristic, complemented
804	#398	C₂×D₆₁	1	1	yes	characteristic, complemented
805	#398	C₂×D₆₁	1	1	yes	characteristic, complemented
806	#396	—	61	1	no	—
807	#396	—	61	1	no	—
808	#396	—	61	1	no	—
809	#396	—	61	1	no	—
810	#396	—	61	1	no	—
811	#396	—	61	1	no	—
812	#396	C₂×D₆₁	1	1	yes	characteristic
813	#396	C₂×D₆₁	1	1	yes	characteristic
814	#395	—	61	1	no	—
815	#395	—	61	1	no	—
816	#395	—	61	1	no	—
817	#395	—	61	1	no	—
818	#395	—	61	1	no	—
819	#395	—	61	1	no	—
820	#395	—	61	1	no	—
821	#395	C₂×D₆₁	1	1	yes	characteristic, complemented
822	#393	—	61	1	no	—
823	#393	—	61	1	no	—
824	#393	—	61	1	no	—
825	#393	—	61	1	no	—
826	#391	—	61	1	no	—
827	#391	—	61	1	no	—
828	#391	—	61	1	no	—
829	#391	—	61	1	no	—
830	#391	—	61	1	no	—
831	#391	C₂×D₆₁	1	1	yes	characteristic, complemented
832	#389	—	61	1	no	—
833	#389	—	61	1	no	—
834	#389	—	61	1	no	—
835	#389	—	61	1	no	—
836	#389	—	61	1	no	—
837	#389	—	61	1	no	—
838	#389	—	61	1	no	—
839	#389	—	61	1	no	—
840	#389	—	61	1	no	—
841	#389	—	61	1	no	—
842	#389	—	61	1	no	—
843	#389	—	61	1	no	—
844	#389	C₂×D₆₁	1	1	yes	characteristic, complemented
845	#389	C₂×D₆₁	1	1	yes	characteristic, complemented
846	#388	—	61	1	no	—
847	#388	—	61	1	no	—
848	#388	—	61	1	no	—
849	#388	—	61	1	no	—
850	#388	—	61	1	no	—
851	#388	—	61	1	no	—
852	#388	—	61	1	no	—
853	#388	—	61	1	no	—
854	#388	—	61	1	no	—
855	#388	—	61	1	no	—
856	#388	—	61	1	no	—
857	#388	—	61	1	no	—
858	#388	—	61	1	no	—
859	#388	—	61	1	no	—
860	#388	C₂×D₆₁	1	1	yes	characteristic
861	#388	C₂×D₆₁	1	1	yes	characteristic
862	#387	—	61	1	no	—
863	#387	—	61	1	no	—
864	#387	—	61	1	no	—
865	#387	—	61	1	no	—
866	#385	—	61	1	no	—
867	#385	—	61	1	no	—
868	#385	—	61	1	no	—
869	#385	—	61	1	no	—
870	#385	—	61	1	no	—
871	#385	—	61	1	no	—
872	#385	—	61	1	no	—
873	#385	—	61	1	no	—
874	#385	—	61	1	no	—
875	#385	—	61	1	no	—
876	#385	—	61	1	no	—
877	#385	—	61	1	no	—
878	#385	—	61	1	no	—
879	#385	—	61	1	no	—
880	#385	—	61	1	no	—
881	#385	—	61	1	no	—
882	#385	—	61	1	no	—
883	#385	—	61	1	no	—
884	#385	—	61	1	no	—
885	#385	—	61	1	no	—
886	#385	—	61	1	no	—
887	#385	—	61	1	no	—
888	#385	—	61	1	no	—
889	#385	C₂×D₆₁	1	1	yes	characteristic
890	#384	—	61	1	no	—
891	#382	—	61	1	no	—
892	#382	—	61	1	no	—
893	#382	—	61	1	no	—
894	#380	—	61	1	no	—
895	#380	—	61	1	no	—
896	#380	—	61	1	no	—
897	#380	—	61	1	no	—
898	#380	—	61	1	no	—
899	#380	—	61	1	no	—
900	#380	—	61	1	no	—
901	#380	—	61	1	no	—
902	#380	—	61	1	no	—
903	#380	—	61	1	no	—
904	#380	—	61	1	no	—
905	#380	—	61	1	no	—
906	#380	—	61	1	no	—
907	#380	C₂×D₆₁	1	1	yes	characteristic
908	#379	—	61	1	no	—
909	#379	—	61	1	no	—
910	C₄×C₂²⋊C₄	—	61	1	no	—
911	C₄×C₂²⋊C₄	—	61	1	no	—
912	C₂×#95	—	61	1	no	—
913	C₂×#95	—	61	1	no	—
914	C₆₁	#36750	1	1	yes	characteristic, complemented, Sylow
915	C₂⁵	—	61	1	no	—
916	C₂²×Q₈	—	61	1	no	—
917	C₂²×Q₈	—	61	1	no	—
918	C₂²×Q₈	—	61	1	no	—
919	C₂²×Q₈	C₂²×D₆₁	1	1	yes	characteristic
920	C₂³×C₄	—	61	1	no	—
921	C₂³×C₄	—	61	1	no	—
922	C₂³×C₄	—	61	1	no	—
923	C₂³×C₄	—	61	1	no	—
924	C₂³×C₄	—	61	1	no	—
925	C₂³×C₄	—	61	1	no	—
926	C₂³×C₄	—	61	1	no	—
927	C₂³×C₄	—	61	1	no	—
928	C₂³×C₄	—	61	1	no	—
929	C₂³×C₄	C₂²×D₆₁	1	1	yes	characteristic
930	C₄⋊Q₈	—	244	2	no	—
931	#125	—	4	2	no	—
932	#125	—	244	2	no	—
933	#125	—	244	2	no	—
934	C₂²⋊Q₈	—	4	2	no	—
935	C₂²⋊Q₈	—	244	2	no	—
936	C₂²⋊Q₈	—	244	2	no	—
937	C₂²⋊Q₈	—	244	2	no	—
938	C₂²⋊Q₈	—	244	2	no	—
939	C₂²⋊Q₈	—	244	2	no	—
940	C₂²⋊Q₈	—	244	2	no	—
941	C₂²⋊Q₈	—	244	2	no	—
942	C₂×C₄⋊C₄	—	61	1	no	—
943	C₂×C₄⋊C₄	—	61	1	no	—
944	C₂×C₄⋊C₄	—	61	1	no	—
945	C₂×C₄⋊C₄	—	61	1	no	—
946	C₂×C₄⋊C₄	—	61	1	no	—
947	C₂×C₄⋊C₄	—	61	1	no	—
948	C₂×C₄⋊C₄	—	61	1	no	—
949	C₂×C₄⋊C₄	—	61	1	no	—
950	C₂×C₄⋊C₄	—	61	1	no	—
951	C₂×C₄⋊C₄	—	61	1	no	—
952	C₂×C₄⋊C₄	—	61	1	no	—
953	C₂×C₄⋊C₄	—	61	1	no	—
954	C₂×C₄⋊C₄	—	61	1	no	—
955	C₂×C₄⋊C₄	—	61	1	no	—
956	C₂×C₄⋊C₄	—	61	1	no	—
957	C₂×C₄⋊C₄	—	61	1	no	—
958	C₂×C₄⋊C₄	—	61	1	no	—
959	C₂×C₄⋊C₄	—	61	1	no	—
960	C₂×C₄⋊C₄	—	61	1	no	—
961	C₂×C₄⋊C₄	—	61	1	no	—
962	C₂×C₄⋊C₄	—	61	1	no	—
963	C₂×C₄⋊C₄	—	61	1	no	—
964	C₂×C₄⋊C₄	—	61	1	no	—
965	C₂×C₄⋊C₄	—	61	1	no	—
966	C₂×C₄⋊C₄	—	61	1	no	—
967	C₂×C₄⋊C₄	—	61	1	no	—
968	C₂×C₄⋊C₄	—	61	1	no	—
969	C₂×C₄⋊C₄	—	61	1	no	—
970	C₂×C₄⋊C₄	—	61	1	no	—
971	C₂×C₄⋊C₄	—	61	1	no	—
972	C₂×C₄⋊C₄	—	61	1	no	—
973	C₂×C₄⋊C₄	—	61	1	no	—
974	C₂×C₄⋊C₄	—	61	1	no	—
975	C₂×C₄⋊C₄	—	61	1	no	—
976	C₂×C₄⋊C₄	—	61	1	no	—
977	C₂×C₄⋊C₄	—	61	1	no	—
978	C₂×C₄⋊C₄	—	61	1	no	—
979	C₂×C₄⋊C₄	—	244	2	no	—
980	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
981	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
982	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
983	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
995	C₂×C₂²⋊C₄	—	61	1	no	—
996	C₂×C₂²⋊C₄	—	61	1	no	—
997	C₂×C₂²⋊C₄	—	61	1	no	—
998	C₂×C₂²⋊C₄	—	61	8	no	—
999	C₂×C₂²⋊C₄	—	61	1	no	—
1000	C₂×C₂²⋊C₄	—	61	1	no	—
1001	C₂×C₂²⋊C₄	—	61	1	no	—
1002	C₂×C₂²⋊C₄	—	61	1	no	—
1003	C₂×C₂²⋊C₄	—	61	1	no	—
1004	C₂×C₂²⋊C₄	—	61	1	no	—
1005	C₂×C₂²⋊C₄	—	61	1	no	—
1006	C₂×C₂²⋊C₄	—	61	1	no	—
1007	C₂×C₂²⋊C₄	—	61	1	no	—
1008	C₂×C₂²⋊C₄	—	61	1	no	—
1009	C₂×C₂²⋊C₄	—	61	1	no	—
1010	C₂×C₂²⋊C₄	—	61	1	no	—
1011	C₂×C₂²⋊C₄	—	61	1	no	—
1012	C₂×C₂²⋊C₄	—	61	1	no	—
1013	C₂×C₂²⋊C₄	—	61	1	no	—
1014	C₂×C₂²⋊C₄	—	61	1	no	—
1015	C₂×C₂²⋊C₄	—	61	1	no	—
1016	C₂×C₂²⋊C₄	—	61	1	no	—
1017	C₂×C₂²⋊C₄	—	61	1	no	—
1018	C₂×C₂²⋊C₄	—	61	1	no	—
1019	C₂×C₂²⋊C₄	—	61	1	no	—
1020	C₂×C₂²⋊C₄	—	61	1	no	—
1021	C₂×C₂²⋊C₄	—	61	1	no	—
1022	C₂×C₂²⋊C₄	—	244	2	no	—
1023	C₂×C₂²⋊C₄	—	244	2	no	—
1024	C₂×C₂²⋊C₄	—	244	2	no	—
1025	C₂×C₂²⋊C₄	—	244	2	no	—
1026	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₆₁	1	1	yes	characteristic
1032	C₂×C₄²	—	61	1	no	—
1033	C₂×C₄²	—	61	1	no	—
1034	C₂×C₄²	—	61	1	no	—
1035	C₂×C₄²	—	61	1	no	—
1036	C₂×C₄²	—	61	1	no	—
1037	C₂×C₄²	—	61	1	no	—
1038	C₂×C₄²	—	244	2	no	—
1039	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1040	C₂×C₄²	C₂²×D₆₁	1	1	yes	characteristic
1041	#95	—	61	1	no	—
1042	#95	—	61	1	no	—
1043	#95	—	61	1	no	—
1044	#95	—	61	1	no	—
1045	#95	—	61	1	no	—
1046	#95	—	61	1	no	—
1047	#95	—	61	1	no	—
1048	#95	—	61	1	no	—
1049	#95	—	61	1	no	—
1050	#95	—	61	1	no	—
1051	#95	—	61	1	no	—
1052	#95	—	61	1	no	—
1053	#95	—	61	1	no	—
1054	#95	—	61	1	no	—
1055	#95	—	61	1	no	—
1056	#95	—	61	1	no	—
1057	#95	—	61	1	no	—
1058	#95	—	61	1	no	—
1059	#95	—	61	1	no	—
1060	#95	—	61	1	no	—
1061	#95	—	61	1	no	—
1062	#95	—	61	1	no	—
1063	#95	—	61	1	no	—
1064	#95	—	61	1	no	—
1065	#95	—	61	1	no	—
1066	#95	—	61	1	no	—
1067	#95	—	61	1	no	—
1068	#95	—	61	1	no	—
1069	#95	—	61	1	no	—
1070	#95	—	61	1	no	—
1071	#95	—	61	1	no	—
1072	#95	—	61	1	no	—
1073	#95	—	61	1	no	—
1074	#95	—	61	1	no	—
1075	#95	—	61	1	no	—
1076	#95	—	61	1	no	—
1077	#95	—	61	1	no	—
1078	#95	—	61	1	no	—
1079	#95	C₂²×D₆₁	1	1	yes	characteristic
1080	#95	C₂²×D₆₁	1	1	yes	characteristic
1081	#95	C₂²×D₆₁	1	1	yes	characteristic
1082	#95	C₂²×D₆₁	1	1	yes	characteristic
1083	#95	C₂²×D₆₁	1	1	yes	characteristic
1084	#95	C₂²×D₆₁	1	1	yes	characteristic
1085	#95	C₂²×D₆₁	1	1	yes	characteristic
1086	#95	C₂²×D₆₁	1	1	yes	characteristic
1087	#95	C₂²×D₆₁	1	1	yes	characteristic
1088	#95	C₂²×D₆₁	1	1	yes	characteristic
1089	C₂⁴	—	61	1	no	—
1090	C₂⁴	—	61	1	no	—
1091	C₂⁴	—	61	4	no	—
1092	C₂⁴	—	122	2	no	—
1093	C₂⁴	—	122	2	no	—
1094	C₂⁴	—	244	1	no	—
1095	C₂⁴	—	244	1	no	—
1096	C₂⁴	—	244	1	no	—
1097	C₂⁴	—	244	1	no	—
1098	C₂⁴	C₂³×D₆₁	1	1	yes	characteristic
1099	C₂×Q₈	—	2	2	no	—
1100	C₂×Q₈	—	4	1	no	—
1101	C₂×Q₈	—	4	1	no	—
1102	C₂×Q₈	—	122	2	no	—
1103	C₂×Q₈	—	244	1	no	—
1104	C₂×Q₈	—	244	1	no	—
1105	C₂×Q₈	—	244	1	no	—
1106	C₂×Q₈	—	244	1	no	—
1107	C₂×Q₈	—	244	1	no	—
1108	C₂×Q₈	—	244	1	no	—
1109	C₂×Q₈	—	244	1	no	—
1110	C₂×Q₈	—	244	1	no	—
1111	C₂²×C₄	—	4	1	no	—
1112	C₂²×C₄	—	4	1	no	—
1113	C₂²×C₄	—	4	1	no	—
1114	C₂²×C₄	—	61	1	no	—
1115	C₂²×C₄	—	61	1	no	—
1116	C₂²×C₄	—	61	1	no	—
1117	C₂²×C₄	—	61	4	no	—
1118	C₂²×C₄	—	61	4	no	—
1119	C₂²×C₄	—	61	1	no	—
1120	C₂²×C₄	—	61	1	no	—
1121	C₂²×C₄	—	61	1	no	—
1122	C₂²×C₄	—	61	1	no	—
1123	C₂²×C₄	—	61	1	no	—
1124	C₂²×C₄	—	61	1	no	—
1125	C₂²×C₄	—	61	1	no	—
1126	C₂²×C₄	—	61	1	no	—
1127	C₂²×C₄	—	61	1	no	—
1128	C₂²×C₄	—	61	1	no	—
1129	C₂²×C₄	—	61	1	no	—
1130	C₂²×C₄	—	122	2	no	—
1131	C₂²×C₄	—	122	2	no	—
1132	C₂²×C₄	—	122	2	no	—
1133	C₂²×C₄	—	122	2	no	—
1134	C₂²×C₄	—	122	2	no	—
1135	C₂²×C₄	—	122	2	no	—
1136	C₂²×C₄	—	244	1	no	—
1137	C₂²×C₄	—	244	1	no	—
1138	C₂²×C₄	—	244	1	no	—
1139	C₂²×C₄	—	244	1	no	—
1140	C₂²×C₄	—	244	1	no	—
1141	C₂²×C₄	—	244	1	no	—
1142	C₂²×C₄	—	244	1	no	—
1143	C₂²×C₄	—	244	1	no	—
1144	C₂²×C₄	—	244	1	no	—
1145	C₂²×C₄	—	244	1	no	—
1146	C₂²×C₄	—	244	1	no	—
1147	C₂²×C₄	—	244	1	no	—
1148	C₂²×C₄	—	244	1	no	—
1149	C₂²×C₄	—	244	1	no	—
1150	C₂²×C₄	—	244	1	no	—
1151	C₂²×C₄	—	244	1	no	—
1152	C₂²×C₄	—	244	1	no	—
1153	C₂²×C₄	—	244	1	no	—
1154	C₂²×C₄	—	244	1	no	—
1155	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1156	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1157	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1158	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1159	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1160	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1161	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1162	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1163	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1164	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1168	C₂²×C₄	C₂³×D₆₁	1	1	yes	characteristic
1169	C₄⋊C₄	—	2	2	no	—
1170	C₄⋊C₄	—	2	2	no	—
1171	C₄⋊C₄	—	4	1	no	—
1172	C₄⋊C₄	—	4	1	no	—
1173	C₄⋊C₄	—	4	1	no	—
1174	C₄⋊C₄	—	4	1	no	—
1175	C₄⋊C₄	—	4	1	no	—
1176	C₄⋊C₄	—	4	1	no	—
1177	C₄⋊C₄	—	4	1	no	—
1178	C₄⋊C₄	—	4	1	no	—
1179	C₄⋊C₄	—	4	1	no	—
1180	C₄⋊C₄	—	4	1	no	—
1181	C₄⋊C₄	—	4	1	no	—
1182	C₄⋊C₄	—	4	1	no	—
1183	C₄⋊C₄	—	4	1	no	—
1184	C₄⋊C₄	—	122	2	no	—
1185	C₄⋊C₄	—	122	2	no	—
1186	C₄⋊C₄	—	122	2	no	—
1187	C₄⋊C₄	—	122	2	no	—
1188	C₄⋊C₄	—	122	2	no	—
1189	C₄⋊C₄	—	122	2	no	—
1190	C₄⋊C₄	—	244	1	no	—
1191	C₄⋊C₄	—	244	1	no	—
1192	C₄⋊C₄	—	244	1	no	—
1193	C₄⋊C₄	—	244	1	no	—
1194	C₄⋊C₄	—	244	1	no	—
1195	C₄⋊C₄	—	244	1	no	—
1196	C₄⋊C₄	—	244	1	no	—
1197	C₄⋊C₄	—	244	1	no	—
1198	C₄⋊C₄	—	244	1	no	—
1199	C₄⋊C₄	—	244	1	no	—
1200	C₄⋊C₄	—	244	1	no	—
1201	C₄⋊C₄	—	244	1	no	—
1202	C₄⋊C₄	—	244	1	no	—
1203	C₄⋊C₄	—	244	1	no	—
1204	C₄⋊C₄	—	244	1	no	—
1205	C₄⋊C₄	—	244	1	no	—
1206	C₄⋊C₄	—	244	1	no	—
1207	C₄⋊C₄	—	244	1	no	—
1208	C₄⋊C₄	—	244	1	no	—
1209	C₄⋊C₄	—	244	1	no	—
1210	C₄⋊C₄	—	244	1	no	—
1211	C₄⋊C₄	—	244	1	no	—
1212	C₄⋊C₄	—	244	1	no	—
1213	C₄⋊C₄	—	244	1	no	—
1214	C₄⋊C₄	—	244	1	no	—
1215	C₄⋊C₄	—	244	1	no	—
1216	C₄⋊C₄	—	244	1	no	—
1217	C₄⋊C₄	—	244	1	no	—
1218	C₄⋊C₄	—	244	1	no	—
1219	C₄⋊C₄	—	244	1	no	—
1220	C₄⋊C₄	—	244	1	no	—
1221	C₂²⋊C₄	—	2	2	no	—
1222	C₂²⋊C₄	—	4	1	no	—
1223	C₂²⋊C₄	—	4	1	no	—
1224	C₂²⋊C₄	—	4	1	no	—
1225	C₂²⋊C₄	—	4	1	no	—
1226	C₂²⋊C₄	—	61	4	no	—
1227	C₂²⋊C₄	—	61	4	no	—
1228	C₂²⋊C₄	—	61	4	no	—
1229	C₂²⋊C₄	—	122	2	no	—
1230	C₂²⋊C₄	—	122	2	no	—
1231	C₂²⋊C₄	—	122	2	no	—
1232	C₂²⋊C₄	—	122	2	no	—
1233	C₂²⋊C₄	—	122	2	no	—
1234	C₂²⋊C₄	—	122	2	no	—
1235	C₂²⋊C₄	—	122	2	no	—
1236	C₂²⋊C₄	—	122	2	no	—
1237	C₂²⋊C₄	—	122	2	no	—
1238	C₂²⋊C₄	—	122	2	no	—
1239	C₂²⋊C₄	—	122	2	no	—
1240	C₂²⋊C₄	—	244	1	no	—
1241	C₂²⋊C₄	—	244	1	no	—
1242	C₂²⋊C₄	—	244	1	no	—
1243	C₂²⋊C₄	—	244	1	no	—
1244	C₂²⋊C₄	—	244	1	no	—
1245	C₂²⋊C₄	—	244	1	no	—
1246	C₂²⋊C₄	—	244	1	no	—
1247	C₂²⋊C₄	—	244	1	no	—
1248	C₂²⋊C₄	—	244	1	no	—
1249	C₂²⋊C₄	—	244	1	no	—
1250	C₂²⋊C₄	—	244	1	no	—
1251	C₂²⋊C₄	—	244	1	no	—
1252	C₂²⋊C₄	Q₈×D₆₁	1	4	yes	—
1253	C₄²	—	2	2	no	—
1254	C₄²	—	4	1	no	—
1255	C₄²	—	122	2	no	—
1256	C₄²	—	244	1	no	—
1257	C₄²	—	244	1	no	—
1258	C₄²	—	244	1	no	—
1259	C₄²	—	244	1	no	—
1260	C₄²	—	244	1	no	—
1261	C₂³	—	2	1	no	—
1262	C₂³	—	2	1	no	—
1263	C₂³	—	2	1	no	—
1264	C₂³	—	2	1	no	—
1265	C₂³	—	2	1	no	—
1266	C₂³	—	2	1	no	—
1267	C₂³	—	61	2	no	—
1268	C₂³	—	61	2	no	—
1269	C₂³	—	61	2	no	—
1270	C₂³	—	61	2	no	—
1271	C₂³	—	122	8	no	—
1272	C₂³	—	122	1	no	—
1273	C₂³	—	122	1	no	—
1274	C₂³	—	122	1	no	—
1275	C₂³	—	122	1	no	—
1276	C₂³	—	122	1	no	—
1277	C₂³	—	122	1	no	—
1278	C₂³	—	122	1	no	—
1279	C₂³	—	122	1	no	—
1280	C₂³	—	122	1	no	—
1281	C₂³	—	122	1	no	—
1282	C₂³	—	488	2	no	—
1283	C₂³	—	488	2	no	—
1284	C₂³	—	488	2	no	—
1285	C₂³	—	488	2	no	—
1286	C₂³	—	244	4	no	—
1287	C₂³	—	244	4	no	—
1288	C₂³	C₂×Q₈×D₆₁	1	2	yes	—
1289	C₂³	C₂⁴×D₆₁	1	1	yes	characteristic
1290	Q₈	—	8	2	no	—
1291	Q₈	—	488	2	no	—
1292	Q₈	—	488	2	no	—
1293	Q₈	—	488	2	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	2	1	no	—
1322	C₂×C₄	—	2	1	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	8	2	no	—
1334	C₂×C₄	—	61	2	no	—
1335	C₂×C₄	—	61	2	no	—
1336	C₂×C₄	—	61	2	no	—
1337	C₂×C₄	—	122	1	no	—
1338	C₂×C₄	—	122	1	no	—
1339	C₂×C₄	—	122	1	no	—
1340	C₂×C₄	—	122	1	no	—
1341	C₂×C₄	—	122	1	no	—
1342	C₂×C₄	—	122	1	no	—
1343	C₂×C₄	—	122	1	no	—
1344	C₂×C₄	—	122	1	no	—
1345	C₂×C₄	—	122	1	no	—
1346	C₂×C₄	—	122	1	no	—
1347	C₂×C₄	—	122	1	no	—
1348	C₂×C₄	—	122	1	no	—
1349	C₂×C₄	—	122	1	no	—
1350	C₂×C₄	—	122	1	no	—
1351	C₂×C₄	—	122	1	no	—
1352	C₂×C₄	—	122	1	no	—
1353	C₂×C₄	—	122	1	no	—
1354	C₂×C₄	—	122	1	no	—
1355	C₂×C₄	—	122	1	no	—
1356	C₂×C₄	—	122	1	no	—
1357	C₂×C₄	—	122	1	no	—
1358	C₂×C₄	—	122	1	no	—
1359	C₂×C₄	—	122	1	no	—
1360	C₂×C₄	—	122	1	no	—
1361	C₂×C₄	—	122	1	no	—
1362	C₂×C₄	—	122	1	no	—
1363	C₂×C₄	—	122	1	no	—
1364	C₂×C₄	—	122	1	no	—
1365	C₂×C₄	—	122	1	no	—
1366	C₂×C₄	—	122	1	no	—
1367	C₂×C₄	—	122	1	no	—
1368	C₂×C₄	—	122	1	no	—
1369	C₂×C₄	—	122	1	no	—
1370	C₂×C₄	—	122	1	no	—
1371	C₂×C₄	—	122	1	no	—
1372	C₂×C₄	—	122	1	no	—
1373	C₂×C₄	—	122	1	no	—
1374	C₂×C₄	—	122	1	no	—
1375	C₂×C₄	—	122	1	no	—
1376	C₂×C₄	—	488	2	no	—
1377	C₂×C₄	—	488	2	no	—
1378	C₂×C₄	—	488	2	no	—
1379	C₂×C₄	—	488	2	no	—
1380	C₂×C₄	—	488	2	no	—
1381	C₂×C₄	—	244	4	no	—
1382	C₂×C₄	—	244	4	no	—
1383	C₂×C₄	—	244	4	no	—
1384	C₂×C₄	—	244	4	no	—
1385	C₂×C₄	C₂×Q₈×D₆₁	1	2	yes	—
1386	C₂×C₄	C₂×Q₈×D₆₁	1	2	yes	—
1387	C₂×C₄	#14519822	1	2	yes	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	4	1	no	—
1392	C₂²	—	4	1	no	—
1393	C₂²	—	4	1	no	—
1394	C₂²	—	4	1	no	—
1395	C₂²	—	61	4	no	—
1396	C₂²	—	122	2	no	—
1397	C₂²	—	122	2	no	—
1398	C₂²	—	122	2	no	—
1399	C₂²	—	122	2	no	—
1400	C₂²	—	122	2	no	—
1401	C₂²	—	122	2	no	—
1402	C₂²	—	122	2	no	—
1403	C₂²	—	122	2	no	—
1404	C₂²	—	122	2	no	—
1405	C₂²	—	488	8	no	—
1406	C₂²	—	244	1	no	—
1407	C₂²	—	244	1	no	—
1408	C₂²	—	244	1	no	—
1409	C₂²	—	244	1	no	—
1410	C₂²	C₂²×Q₈×D₆₁	1	1	yes	characteristic
1411	C₂²	H(5,𝔽₂)×D₆₁	1	1	yes	characteristic
1412	C₂²	H(5,𝔽₂)×D₆₁	1	1	yes	characteristic
1413	C₂²	C₂×#14519822	1	1	yes	characteristic
1414	C₂²	2₋¹⁺⁴×D₆₁	1	1	yes	characteristic
1415	C₂²	#16840598	1	1	yes	characteristic
1416	C₂²	#16840599	1	1	yes	characteristic
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	4	1	no	—
1421	C₄	—	4	1	no	—
1422	C₄	—	4	1	no	—
1423	C₄	—	4	1	no	—
1424	C₄	—	4	1	no	—
1425	C₄	—	4	1	no	—
1426	C₄	—	4	1	no	—
1427	C₄	—	4	1	no	—
1428	C₄	—	4	1	no	—
1429	C₄	—	4	1	no	—
1430	C₄	—	4	1	no	—
1431	C₄	—	122	2	no	—
1432	C₄	—	122	2	no	—
1433	C₄	—	122	2	no	—
1434	C₄	—	244	1	no	—
1435	C₄	—	244	1	no	—
1436	C₄	—	244	1	no	—
1437	C₄	—	244	1	no	—
1438	C₄	—	244	1	no	—
1439	C₄	—	244	1	no	—
1440	C₄	—	244	1	no	—
1441	C₄	—	244	1	no	—
1442	C₄	—	244	1	no	—
1443	C₄	—	244	1	no	—
1444	C₄	—	244	1	no	—
1445	C₂	—	4	2	no	—
1446	C₂	—	122	4	no	—
1447	C₂	—	244	2	no	—
1448	C₂	#544×D₆₁	1	1	yes	characteristic
1449	C₂	#21459614	1	1	yes	characteristic
1450	C₂	#21459618	1	1	yes	characteristic
1451	C₂	#21460001	1	1	yes	characteristic
1452	C₂	#21460037	1	1	yes	characteristic
1453	C₂	#21460341	1	1	yes	characteristic
1454	C₂	#21460432	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₆₁
commutator, socle, cosocle	C₂³×C₆₁	C₂⁵
Fitting	C₆₁×#2704	C₂
prime radical	C₂⁴×D₆₁	C₂³
hypercenter	#2704	D₆₁
hypocenter	C₆₁	#36750
LCS	G ▷ C₂³×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂³ ◁ #2704

Complements

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

N	H ≅ G/N	type
1. #21454168	C₂	semidirect
2. #21454124	C₂	semidirect
3. #21453791	C₂	semidirect
4. #21453789	C₂	semidirect
5. #21453563	C₂	semidirect
6. #21453561	C₂	semidirect
7. #21453306	C₂	semidirect
8. #21453304	C₂	semidirect
9. #21453235	C₂	semidirect
10. #21453230	C₂	semidirect
11. #21452808	C₂	semidirect
12. #21452797	C₂	semidirect
13. #21452705	C₂	semidirect
14. #21452699	C₂	semidirect
15. #21452479	C₂	semidirect
16. #21452478	C₂	semidirect
17. #21452471	C₂	semidirect
18. #21451934	C₂	semidirect
19. #21451788	C₂	semidirect
20. #21450829	C₂	semidirect
21. #21450824	C₂	semidirect
22. #21449545	C₂	semidirect
23. #21449538	C₂	semidirect
31. C₆₁×#2704	C₂	semidirect
32. C₂×#14519775	C₂²	semidirect
33. C₂×#14519769	C₂²	semidirect
34. C₂×#14519767	C₂²	semidirect
49. #16839704	C₂²	semidirect
50. #16839704	C₂²	semidirect
51. #16839704	C₂²	semidirect
52. #16839703	C₂²	semidirect
53. #16839703	C₂²	semidirect
54. #16839703	C₂²	semidirect
55. #16839701	C₂²	semidirect
56. #16839700	C₂²	semidirect
61. #16839696	C₂²	semidirect
62. #16839695	C₂²	semidirect
63. #16839695	C₂²	semidirect
64. #16839695	C₂²	semidirect
65. #16839695	C₂²	semidirect
66. #16839695	C₂²	semidirect
67. #16839694	C₂²	semidirect
68. #16839693	C₂²	semidirect
69. #16839693	C₂²	semidirect
70. #16839693	C₂²	semidirect
71. #16839693	C₂²	semidirect
72. #16839692	C₂²	semidirect
73. #16839692	C₂²	semidirect
80. #16839683	C₂²	semidirect
81. #16839683	C₂²	semidirect
82. #16839683	C₂²	semidirect
83. #16839683	C₂²	semidirect
84. #16839682	C₂²	semidirect
85. #16839682	C₂²	semidirect
86. #16839682	C₂²	semidirect
91. #16839669	C₂²	semidirect
92. #16839668	C₂²	semidirect
93. #16839668	C₂²	semidirect
94. #16839666	C₂²	semidirect
95. #16839666	C₂²	semidirect
96. #16839661	C₂²	semidirect
97. #16839659	C₂²	semidirect
98. #16839659	C₂²	semidirect
99. #16839659	C₂²	semidirect
100. #16839659	C₂²	semidirect
101. #16839659	C₂²	semidirect
102. #16839658	C₂²	semidirect
103. #16839658	C₂²	semidirect
104. #16839658	C₂²	semidirect
105. #16839657	C₂²	semidirect
106. #16839657	C₂²	semidirect
107. #16839657	C₂²	semidirect
122. #16839643	C₂²	semidirect
123. #16839643	C₂²	semidirect
124. #16839643	C₂²	semidirect
125. #16839643	C₂²	semidirect
149. #16839631	C₂²	semidirect
150. #16839628	C₂²	semidirect
151. #16839627	C₂²	semidirect
152. #16839626	C₂²	semidirect
172. C₂×#125×C₆₁	C₂²	semidirect
174. C₆₁×#398	C₂²	semidirect
175. C₆₁×#398	C₂²	semidirect
176. C₆₁×#398	C₂²	semidirect
179. C₆₁×#395	C₂²	semidirect
180. C₆₁×#391	C₂²	semidirect
181. C₆₁×#389	C₂²	semidirect
182. C₆₁×#389	C₂²	semidirect
278. C₂²⋊C₄×D₆₁	Q₈	semidirect
735. #2704	D₆₁	semidirect
762. C₂×#125	C₂×D₆₁	semidirect
803. #398	C₂×D₆₁	semidirect
804. #398	C₂×D₆₁	semidirect
805. #398	C₂×D₆₁	semidirect
821. #395	C₂×D₆₁	semidirect
831. #391	C₂×D₆₁	semidirect
844. #389	C₂×D₆₁	semidirect
845. #389	C₂×D₆₁	semidirect
914. C₆₁	#36750	semidirect

Maximal subgroups

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

subgroup	index
#21454168	2
#21454124	2
#21453791	2
#21453789	2
#21453563	2
#21453561	2
#21453306	2
#21453304	2
#21453235	2
#21453230	2
#21452808	2
#21452797	2
#21452705	2
#21452699	2
#21452479	2
#21452478	2
#21452471	2
#21451934	2
#21451788	2
#21450829	2
#21450824	2
#21449545	2
#21449538	2
#21449487	2
#21449482	2
#21449481	2
#21448430	2
#21448413	2
#388×D₆₁	2
C₆₁×#2704	2
#36750	61