Subgroups — #30624838

Order 15616.

2306 conjugacy classes of subgroups.

The subgroup lattice has 2046 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21462357	C₂	1	1	yes	maximal, characteristic, complemented
2	#21462356	C₂	1	1	yes	maximal, characteristic, complemented
3	#21462356	C₂	1	1	yes	maximal, characteristic, complemented
4	#21462354	C₂	1	1	yes	maximal, characteristic, complemented
5	#21462353	C₂	1	1	yes	maximal, characteristic, complemented
6	#21462351	C₂	1	1	yes	maximal, characteristic, complemented
7	#21462351	C₂	1	1	yes	maximal, characteristic, complemented
8	#21462347	C₂	1	1	yes	maximal, characteristic
9	#21462345	C₂	1	1	yes	maximal, characteristic, complemented
10	#21462344	C₂	1	1	yes	maximal, characteristic
11	#21462343	C₂	1	1	yes	maximal, characteristic, complemented
12	#21462342	C₂	1	1	yes	maximal, characteristic, complemented
13	#21462342	C₂	1	1	yes	maximal, characteristic, complemented
14	#21462342	C₂	1	1	yes	maximal, characteristic, complemented
15	#21462342	C₂	1	1	yes	maximal, characteristic, complemented
16	#21462342	C₂	1	1	yes	maximal, characteristic, complemented
17	#21462319	C₂	1	1	yes	maximal, characteristic, complemented
18	#21462318	C₂	1	1	yes	maximal, characteristic, complemented
19	#21462317	C₂	1	1	yes	maximal, characteristic, complemented
20	#21462315	C₂	1	1	yes	maximal, characteristic, complemented
21	#21462301	C₂	1	1	yes	maximal, characteristic, complemented
22	#125×#6923	C₂	1	1	yes	maximal, characteristic, complemented
23	#126×#6923	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²⋊Q₈×#6923	C₂	1	1	yes	maximal, characteristic, complemented
25	#123×#6923	C₂	1	1	yes	maximal, characteristic, complemented
26	#21462273	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#16840711	C₂	1	1	yes	maximal, characteristic, complemented
28	#21462258	C₂	1	1	yes	maximal, characteristic, complemented
29	#21462257	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₄×#6923	C₂	1	1	yes	maximal, characteristic, complemented
31	#539×D₆₁	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×#6923	C₂²	1	1	yes	characteristic
33	C₂×D₄×#6923	C₂²	1	1	yes	characteristic
34	C₂×D₄×#6923	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6923	C₂²	1	1	yes	characteristic
36	C₂×D₄×#6923	C₂²	1	1	yes	characteristic
37	C₂×D₄×#6923	C₂²	1	1	yes	characteristic
38	C₂×#14519856	C₂²	1	1	yes	characteristic
39	C₂×#14519856	C₂²	1	1	yes	characteristic
40	C₂×#14519856	C₂²	1	1	yes	characteristic
41	C₂²×C₄⋊#6923	C₂²	1	1	yes	characteristic
42	C₂²×C₄×#6923	C₂²	1	1	yes	characteristic
43	C₂²×C₄×#6923	C₂²	1	1	yes	characteristic
44	(C₂×#6923)⋊Q₈	C₂²	1	1	yes	characteristic
45	(C₂×#6923)⋊Q₈	C₂²	1	1	yes	characteristic
46	(C₂×#6923)⋊Q₈	C₂²	1	1	yes	characteristic
47	#16840714	C₂²	1	1	yes	characteristic
48	#16840713	C₂²	1	1	yes	characteristic
49	#16840713	C₂²	1	1	yes	characteristic
50	#16840713	C₂²	1	1	yes	characteristic
51	#16840713	C₂²	1	1	yes	characteristic
52	#16840713	C₂²	1	1	yes	characteristic
53	#16840713	C₂²	1	1	yes	characteristic
54	#16840713	C₂²	1	1	yes	characteristic
55	#16840713	C₂²	1	1	yes	characteristic
56	#16840712	C₂²	1	1	yes	characteristic
57	#16840712	C₂²	1	1	yes	characteristic
58	#16840712	C₂²	1	1	yes	characteristic
59	#16840712	C₂²	1	1	yes	characteristic
60	#16840712	C₂²	1	1	yes	characteristic
61	#16840712	C₂²	1	1	yes	characteristic
62	#16840712	C₂²	1	1	yes	characteristic
63	#16840712	C₂²	1	1	yes	characteristic
64	#16840712	C₂²	1	1	yes	characteristic
65	#16840712	C₂²	1	1	yes	characteristic
66	#16840712	C₂²	1	1	yes	characteristic
67	#16840712	C₂²	1	1	yes	characteristic
68	#16840712	C₂²	1	1	yes	characteristic
69	#16840712	C₂²	1	1	yes	characteristic
70	#16840712	C₂²	1	1	yes	characteristic
71	#16840712	C₂²	1	1	yes	characteristic
72	#16840711	C₂²	1	1	yes	characteristic
73	#16840711	C₂²	1	1	yes	characteristic
74	#16840711	C₂²	1	1	yes	characteristic
75	#16840711	C₂²	1	1	yes	characteristic
76	#16840711	C₂²	1	1	yes	characteristic
77	#16840711	C₂²	1	1	yes	characteristic
78	#16840711	C₂²	1	1	yes	characteristic
79	#16840711	C₂²	1	1	yes	characteristic
80	#16840711	C₂²	1	1	yes	characteristic
81	#16840711	C₂²	1	1	yes	characteristic
82	#16840711	C₂²	1	1	yes	characteristic
83	#16840711	C₂²	1	1	yes	characteristic
84	#16840711	C₂²	1	1	yes	characteristic
85	#16840711	C₂²	1	1	yes	characteristic
86	#16840711	C₂²	1	1	yes	characteristic
87	#16840711	C₂²	1	1	yes	characteristic
88	#16840711	C₂²	1	1	yes	characteristic
89	#16840711	C₂²	1	1	yes	characteristic
90	#16840711	C₂²	1	1	yes	characteristic
91	#16840711	C₂²	1	1	yes	characteristic
92	#16840711	C₂²	1	1	yes	characteristic
93	#16840711	C₂²	1	1	yes	characteristic
94	#16840711	C₂²	1	1	yes	characteristic
95	#16840711	C₂²	1	1	yes	characteristic
96	#16840711	C₂²	1	1	yes	characteristic
97	#16840711	C₂²	1	1	yes	characteristic
98	#16840711	C₂²	1	1	yes	characteristic
99	#16840711	C₂²	1	1	yes	characteristic
100	#16840710	C₂²	1	1	yes	characteristic
101	#16840710	C₂²	1	1	yes	characteristic
102	#16840710	C₂²	1	1	yes	characteristic
103	#16840710	C₂²	1	1	yes	characteristic
104	#16840710	C₂²	1	1	yes	characteristic
105	#16840710	C₂²	1	1	yes	characteristic
106	#16840709	C₂²	1	1	yes	characteristic
107	#16840709	C₂²	1	1	yes	characteristic
108	#16840709	C₂²	1	1	yes	characteristic
109	#16840709	C₂²	1	1	yes	characteristic
110	#16840709	C₂²	1	1	yes	characteristic
111	#16840709	C₂²	1	1	yes	characteristic
112	#16840709	C₂²	1	1	yes	characteristic
113	#16840709	C₂²	1	1	yes	characteristic
114	#16840709	C₂²	1	1	yes	characteristic
115	#16840709	C₂²	1	1	yes	characteristic
116	#16840707	C₂²	1	1	yes	characteristic
117	#16840706	C₂²	1	1	yes	characteristic
118	#16840705	C₂²	1	1	yes	characteristic
119	#16840704	C₂²	1	1	yes	characteristic
120	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
121	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
122	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
123	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
124	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
125	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
126	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
127	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
128	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
129	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
130	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
131	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
132	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
133	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
134	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
135	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
137	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
138	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
139	C₄⋊C₄×#6923	C₂²	1	1	yes	characteristic
140	C₄×C₄⋊#6923	C₂²	1	1	yes	characteristic
141	C₄×C₄⋊#6923	C₂²	1	1	yes	characteristic
142	C₄×C₄⋊#6923	C₂²	1	1	yes	characteristic
143	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
144	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
145	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
146	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
147	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
151	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
152	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
153	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6923	C₂²	1	1	yes	characteristic
157	C₄×C₂²⋊#6923	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊#6923	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊#6923	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊#6923	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊#6923	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊#6923	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊#6923	C₂²	1	1	yes	characteristic
164	#16840698	C₂²	1	1	yes	characteristic
165	#16840698	C₂²	1	1	yes	characteristic
166	C₂×(C₂×#6923)⋊C₄	C₂²	1	1	yes	characteristic
167	C₂×(C₂×#6923)⋊C₄	C₂²	1	1	yes	characteristic
168	C₂×(C₂×#6923)⋊C₄	C₂²	1	1	yes	characteristic
169	C₂×(C₂×#6923)⋊C₄	C₂²	1	1	yes	characteristic
170	C₂×(C₂×#6923)⋊C₄	C₂²	1	1	yes	characteristic
171	C₄²×#6923	C₂²	1	1	yes	characteristic
172	#16840361	C₄	1	1	yes	characteristic, complemented
173	#16840360	C₄	1	1	yes	characteristic, complemented
174	#16840360	C₄	1	1	yes	characteristic, complemented
175	#16840359	C₄	1	1	yes	characteristic, complemented
176	#16840358	C₄	1	1	yes	characteristic, complemented
177	#16840358	C₄	1	1	yes	characteristic, complemented
178	#16840357	C₄	1	1	yes	characteristic, complemented
179	#16840356	C₄	1	1	yes	characteristic, complemented
180	#16840356	C₄	1	1	yes	characteristic, complemented
181	#16840355	C₄	1	1	yes	characteristic, complemented
182	#16840355	C₄	1	1	yes	characteristic, complemented
183	#16840354	C₄	1	1	yes	characteristic, complemented
184	#16840354	C₄	1	1	yes	characteristic, complemented
185	#16840353	C₄	1	1	yes	characteristic, complemented
186	#16840353	C₄	1	1	yes	characteristic, complemented
187	#126×D₆₁	C₂²	1	1	yes	characteristic
188	#126×D₆₁	C₂²	1	1	yes	characteristic
189	#125×D₆₁	C₂²	1	1	yes	characteristic
190	#125×D₆₁	C₂²	1	1	yes	characteristic
191	#123×D₆₁	C₂²	1	1	yes	characteristic
192	#123×D₆₁	C₂²	1	1	yes	characteristic
193	#123×D₆₁	C₂²	1	1	yes	characteristic
194	#123×D₆₁	C₂²	1	1	yes	characteristic
195	C₂²⋊Q₈×D₆₁	C₂²	1	1	yes	characteristic
196	C₂²⋊Q₈×D₆₁	C₂²	1	1	yes	characteristic
197	C₂²⋊Q₈×D₆₁	C₂²	1	1	yes	characteristic
198	#121×D₆₁	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₆₁	C₂²	1	1	yes	characteristic
200	C₄×D₄×D₆₁	C₂²	1	1	yes	characteristic
201	C₂×C₄⋊C₄×D₆₁	C₂²	1	1	yes	characteristic
202	C₆₁×#539	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6923	C₂³	1	1	yes	characteristic
204	C₂³×#6923	C₂³	1	1	yes	characteristic
205	C₂³×#6923	C₂³	1	1	yes	characteristic
206	C₂³×#6923	C₂³	1	1	yes	characteristic
207	C₂³×#6923	C₂³	1	1	yes	characteristic
208	C₂³×#6923	C₂³	1	1	yes	characteristic
209	C₂³×#6923	C₂³	1	1	yes	characteristic
210	C₂³×#6923	C₂³	1	1	yes	characteristic
211	Q₈×#6923	—	4	2	no	—
212	D₄×#6923	—	2	4	no	—
213	D₄×#6923	—	2	4	no	—
214	D₄×#6923	—	2	4	no	—
215	D₄×#6923	—	2	4	no	—
216	D₄×#6923	—	4	2	no	—
217	#14519856	—	2	4	no	—
218	#14519856	—	2	4	no	—
219	#14519856	—	4	2	no	—
220	C₂×C₄⋊#6923	—	4	2	no	—
221	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊#6923	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊#6923	C₂³	1	1	yes	characteristic
257	C₂×C₄×#6923	—	4	2	no	—
258	C₂×C₄×#6923	—	4	2	no	—
259	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
260	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
261	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
262	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
263	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
264	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
265	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
266	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
267	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
268	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
269	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
270	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
271	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
272	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
273	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
274	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
275	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
276	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
277	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
278	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
279	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
280	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
281	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
282	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
283	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
284	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
285	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
286	C₂×C₄×#6923	C₂³	1	1	yes	characteristic
287	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
288	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
289	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
290	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
291	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
292	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
293	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
294	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
295	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×#6923)⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×Q₈×D₆₁	C₂³	1	1	yes	characteristic
336	C₂×D₄×D₆₁	C₂³	1	1	yes	characteristic
337	C₂×D₄×D₆₁	C₂³	1	1	yes	characteristic
338	C₂×D₄×D₆₁	C₂³	1	1	yes	characteristic
339	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
340	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
341	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
342	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
343	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
344	#14519772	C₂×C₄	1	1	yes	characteristic, complemented
345	#14519772	C₂×C₄	1	1	yes	characteristic, complemented
346	#14519772	C₂×C₄	1	1	yes	characteristic, complemented
347	#14519772	C₂×C₄	1	1	yes	characteristic, complemented
348	#14519772	C₂×C₄	1	1	yes	characteristic, complemented
349	#14519772	C₂×C₄	1	1	yes	characteristic, complemented
350	#14519771	C₂×C₄	1	1	yes	characteristic, complemented
351	#14519771	C₂×C₄	1	1	yes	characteristic, complemented
352	#14519770	C₂×C₄	1	1	yes	characteristic, complemented
353	#14519770	C₂×C₄	1	1	yes	characteristic, complemented
354	#14519770	C₂×C₄	1	1	yes	characteristic, complemented
355	#14519770	C₂×C₄	1	1	yes	characteristic, complemented
356	#14519770	C₂×C₄	1	1	yes	characteristic, complemented
357	#14519770	C₂×C₄	1	1	yes	characteristic, complemented
358	#14519769	C₂×C₄	1	1	yes	characteristic, complemented
359	#14519769	C₂×C₄	1	1	yes	characteristic, complemented
360	#14519768	C₂×C₄	1	1	yes	characteristic, complemented
361	#14519768	C₂×C₄	1	1	yes	characteristic, complemented
362	#14519768	C₂×C₄	1	1	yes	characteristic, complemented
363	#14519768	C₂×C₄	1	1	yes	characteristic, complemented
364	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
365	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
366	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
367	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
368	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
369	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
370	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
371	#14519767	C₂×C₄	1	1	yes	characteristic, complemented
372	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
373	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
374	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
375	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
376	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
377	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
378	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
379	#14519762	C₂×C₄	1	1	yes	characteristic, complemented
380	#14519761	C₂×C₄	1	1	yes	characteristic, complemented
381	#14519761	C₂×C₄	1	1	yes	characteristic, complemented
382	#14519761	C₂×C₄	1	1	yes	characteristic, complemented
383	#14519761	C₂×C₄	1	1	yes	characteristic, complemented
384	#14519760	C₂×C₄	1	1	yes	characteristic, complemented
385	#14519760	C₂×C₄	1	1	yes	characteristic, complemented
386	#14519760	C₂×C₄	1	1	yes	characteristic, complemented
387	#14519760	C₂×C₄	1	1	yes	characteristic, complemented
388	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
389	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
390	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
391	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
392	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
393	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
394	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
395	#14519759	C₂×C₄	1	1	yes	characteristic, complemented
396	#14519758	C₂×C₄	1	1	yes	characteristic, complemented
397	#14519758	C₂×C₄	1	1	yes	characteristic, complemented
398	#14519758	C₂×C₄	1	1	yes	characteristic, complemented
399	#14519758	C₂×C₄	1	1	yes	characteristic, complemented
400	#14519757	C₂×C₄	1	1	yes	characteristic, complemented
401	#14519757	C₂×C₄	1	1	yes	characteristic, complemented
402	#14519757	C₂×C₄	1	1	yes	characteristic, complemented
403	#14519756	C₂×C₄	1	1	yes	characteristic, complemented
404	#14519756	C₂×C₄	1	1	yes	characteristic, complemented
405	#14519756	C₂×C₄	1	1	yes	characteristic, complemented
406	#14519755	C₂×C₄	1	1	yes	characteristic, complemented
407	#14519755	C₂×C₄	1	1	yes	characteristic, complemented
408	#14519755	C₂×C₄	1	1	yes	characteristic, complemented
409	#14519755	C₂×C₄	1	1	yes	characteristic, complemented
410	#14519755	C₂×C₄	1	1	yes	characteristic, complemented
411	#14519755	C₂×C₄	1	1	yes	characteristic, complemented
412	#14519754	C₂×C₄	1	1	yes	characteristic, complemented
413	#14519754	C₂×C₄	1	1	yes	characteristic, complemented
414	#14519754	C₂×C₄	1	1	yes	characteristic, complemented
415	#14519754	C₂×C₄	1	1	yes	characteristic, complemented
416	#14519754	C₂×C₄	1	1	yes	characteristic, complemented
417	#14519754	C₂×C₄	1	1	yes	characteristic, complemented
418	#14519753	C₂×C₄	1	1	yes	characteristic, complemented
419	#14519753	C₂×C₄	1	1	yes	characteristic, complemented
420	#14519753	C₂×C₄	1	1	yes	characteristic, complemented
421	#14519752	C₂×C₄	1	1	yes	characteristic
422	#14519751	C₂×C₄	1	1	yes	characteristic
423	#14519750	C₂×C₄	1	1	yes	characteristic
424	#14519750	C₂×C₄	1	1	yes	characteristic
425	#14519749	C₂×C₄	1	1	yes	characteristic
426	#14519749	C₂×C₄	1	1	yes	characteristic
427	#14519748	C₂×C₄	1	1	yes	characteristic
428	C₄×D₂₄₄	C₂×C₄	1	1	yes	characteristic, complemented
429	C₄×D₂₄₄	C₂×C₄	1	1	yes	characteristic, complemented
430	D₄×Dic₆₁	C₂×C₄	1	1	yes	characteristic, complemented
431	D₄×Dic₆₁	C₂×C₄	1	1	yes	characteristic, complemented
432	#14519739	C₂×C₄	1	1	yes	characteristic, complemented
433	#14519739	C₂×C₄	1	1	yes	characteristic, complemented
434	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
435	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
436	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
437	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
438	#14519737	C₂×C₄	1	1	yes	characteristic, complemented
439	#14519737	C₂×C₄	1	1	yes	characteristic, complemented
440	#14519737	C₂×C₄	1	1	yes	characteristic, complemented
441	#14519737	C₂×C₄	1	1	yes	characteristic, complemented
442	C₂×C₄⋊Dic₆₁	C₂×C₄	1	1	yes	characteristic, complemented
443	C₂×#11758196	C₂×C₄	1	1	yes	characteristic, complemented
444	C₂×#11758196	C₂×C₄	1	1	yes	characteristic, complemented
445	C₄⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
446	C₄⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
447	C₄⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
448	C₄⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic, complemented
449	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
450	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
451	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
452	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
453	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
454	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
455	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
456	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
457	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
458	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
459	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
460	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
461	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
462	C₄⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
463	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
464	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
465	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
466	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
468	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
469	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
470	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
471	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
472	C₂²⋊C₄×D₆₁	C₂³	1	1	yes	characteristic
473	C₄²×D₆₁	C₂³	1	1	yes	characteristic
474	C₄²×D₆₁	C₂³	1	1	yes	characteristic
475	#126×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
476	#126×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
477	#125×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
478	#125×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
479	#123×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
480	#123×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
481	#123×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
482	#123×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
483	C₂²⋊Q₈×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
484	C₂²⋊Q₈×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
485	C₂²⋊Q₈×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
486	#121×C₆₁	C₂×C₄	1	1	yes	characteristic
487	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
488	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
489	C₂×C₄⋊C₄×C₆₁	C₂×C₄	1	1	yes	characteristic, complemented
490	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
491	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
492	C₂³×D₆₁	C₂⁴	1	1	yes	characteristic
493	C₂²×#6923	—	2	2	no	—
494	C₂²×#6923	—	2	2	no	—
495	C₂²×#6923	—	2	2	no	—
496	C₂²×#6923	—	2	2	no	—
497	C₂²×#6923	—	2	2	no	—
498	C₂²×#6923	—	2	2	no	—
499	C₂²×#6923	—	2	2	no	—
500	C₂²×#6923	—	2	2	no	—
501	C₂²×#6923	—	2	2	no	—
502	C₂²×#6923	—	2	2	no	—
503	C₂²×#6923	—	2	2	no	—
504	C₂²×#6923	—	2	2	no	—
505	C₂²×#6923	—	4	1	no	—
506	C₂²×#6923	—	4	1	no	—
507	C₂²×#6923	—	4	1	no	—
508	C₂²×#6923	—	4	1	no	—
509	C₂²×#6923	—	4	1	no	—
510	C₂²×#6923	—	4	1	no	—
511	C₂²×#6923	—	4	1	no	—
512	C₂²×#6923	—	4	1	no	—
513	C₂²×#6923	—	4	1	no	—
514	C₂²×#6923	—	4	1	no	—
515	C₂²×#6923	—	4	1	no	—
516	C₂²×#6923	—	4	1	no	—
517	C₂²×#6923	C₂⁴	1	1	yes	characteristic
518	C₂²×#6923	C₂⁴	1	1	yes	characteristic
519	C₂²×#6923	C₂⁴	1	1	yes	characteristic
520	C₂²×#6923	C₂⁴	1	1	yes	characteristic
521	C₂²×#6923	C₂⁴	1	1	yes	characteristic
522	C₂²×#6923	C₂⁴	1	1	yes	characteristic
523	C₂²×#6923	C₂⁴	1	1	yes	characteristic
524	C₂²×#6923	C₂⁴	1	1	yes	characteristic
525	C₂²×#6923	C₂⁴	1	1	yes	characteristic
526	C₂²×#6923	C₂⁴	1	1	yes	characteristic
527	C₂²×#6923	C₂⁴	1	1	yes	characteristic
528	C₂²×#6923	C₂⁴	1	1	yes	characteristic
529	C₂²×#6923	C₂⁴	1	1	yes	characteristic
530	C₂²×#6923	C₂⁴	1	1	yes	characteristic
531	C₂²×#6923	C₂⁴	1	1	yes	characteristic
532	C₂²×#6923	C₂⁴	1	1	yes	characteristic
533	C₂×Q₈×C₆₁	C₂²×C₄	1	1	yes	characteristic
534	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
535	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
536	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
537	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
538	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
539	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
540	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
541	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
548	C₂²×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
549	C₂²×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
550	C₂²×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
551	C₂²×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
552	C₂²×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
553	Q₈×D₆₁	—	4	1	no	—
554	Q₈×D₆₁	—	4	1	no	—
555	D₄×D₆₁	—	2	2	no	—
556	D₄×D₆₁	—	2	2	no	—
557	D₄×D₆₁	—	2	2	no	—
558	D₄×D₆₁	—	2	2	no	—
559	D₄×D₆₁	—	4	1	no	—
560	D₄×D₆₁	—	4	1	no	—
561	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
562	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
563	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄×D₆₁	—	2	2	no	—
565	C₂×C₄×D₆₁	—	2	2	no	—
566	C₂×C₄×D₆₁	—	4	1	no	—
567	C₂×C₄×D₆₁	—	4	1	no	—
568	C₂×C₄×D₆₁	—	4	1	no	—
569	C₂×C₄×D₆₁	—	4	1	no	—
570	C₂×C₄×D₆₁	—	4	1	no	—
571	C₂×C₄×D₆₁	—	4	1	no	—
572	C₂×C₄×D₆₁	—	4	1	no	—
573	C₂×C₄×D₆₁	—	4	1	no	—
574	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
588	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
589	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
590	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
591	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
593	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₁₂₂	C₂²×C₄	1	1	yes	characteristic
597	C₂×Dic₁₂₂	C₂²×C₄	1	1	yes	characteristic
598	C₂×Dic₁₂₂	C₂²×C₄	1	1	yes	characteristic
599	C₂²⋊#6923	—	2	2	no	—
600	C₂²⋊#6923	—	2	2	no	—
601	C₂²⋊#6923	—	2	2	no	—
602	C₂²⋊#6923	—	2	2	no	—
603	C₂²⋊#6923	—	2	2	no	—
604	C₂²⋊#6923	—	2	2	no	—
605	C₂²⋊#6923	—	2	2	no	—
606	C₂²⋊#6923	—	2	2	no	—
607	C₂²⋊#6923	—	4	1	no	—
608	C₂²⋊#6923	—	4	1	no	—
609	C₂²⋊#6923	—	4	1	no	—
610	C₂²⋊#6923	—	4	1	no	—
611	C₂²⋊#6923	—	4	1	no	—
612	C₂²⋊#6923	—	4	1	no	—
613	C₂²⋊#6923	#41	1	4	yes	—
614	C₂²⋊#6923	#41	1	4	yes	—
615	C₄⋊#6923	—	2	2	no	—
616	C₄⋊#6923	—	2	2	no	—
617	C₄⋊#6923	—	2	2	no	—
618	C₄⋊#6923	—	2	2	no	—
619	C₄⋊#6923	—	2	2	no	—
620	C₄⋊#6923	—	2	2	no	—
621	C₄⋊#6923	—	2	2	no	—
622	C₄⋊#6923	—	2	2	no	—
623	C₄⋊#6923	—	2	2	no	—
624	C₄⋊#6923	—	2	2	no	—
625	C₄⋊#6923	—	2	2	no	—
626	C₄⋊#6923	—	2	2	no	—
627	C₄⋊#6923	—	4	1	no	—
628	C₄⋊#6923	—	4	1	no	—
629	C₄⋊#6923	—	4	1	no	—
630	C₄⋊#6923	—	4	1	no	—
631	C₄⋊#6923	—	4	1	no	—
632	C₄⋊#6923	—	4	1	no	—
633	C₄⋊#6923	—	4	1	no	—
634	C₄⋊#6923	—	4	1	no	—
635	C₄×#6923	—	2	2	no	—
636	C₄×#6923	—	2	2	no	—
637	C₄×#6923	—	2	2	no	—
638	C₄×#6923	—	2	2	no	—
639	C₄×#6923	—	2	2	no	—
640	C₄×#6923	—	2	2	no	—
641	C₄×#6923	—	2	2	no	—
642	C₄×#6923	—	2	2	no	—
643	C₄×#6923	—	2	2	no	—
644	C₄×#6923	—	2	2	no	—
645	C₄×#6923	—	2	2	no	—
646	C₄×#6923	—	2	2	no	—
647	C₄×#6923	—	4	1	no	—
648	C₄×#6923	—	4	1	no	—
649	C₄×#6923	—	4	1	no	—
650	C₄×#6923	—	4	1	no	—
651	C₄×#6923	—	4	1	no	—
652	C₄×#6923	—	4	1	no	—
653	C₄×#6923	—	4	1	no	—
654	C₄×#6923	—	4	1	no	—
655	C₄×#6923	—	4	1	no	—
656	C₄×#6923	—	4	1	no	—
657	C₄×#6923	—	4	1	no	—
658	C₄×#6923	—	4	1	no	—
659	C₄×#6923	—	4	1	no	—
660	C₄×#6923	—	4	1	no	—
661	C₄×#6923	—	4	1	no	—
662	C₄×#6923	—	4	1	no	—
663	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
664	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
665	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
666	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
667	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
668	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
669	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
670	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
671	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
672	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
673	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
677	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
678	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
679	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
680	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
681	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
682	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
683	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
684	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
687	C₄²×C₆₁	C₂²×C₄	1	1	yes	characteristic
688	C₄²×C₆₁	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
691	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
692	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
693	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
694	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
695	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
696	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
697	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
698	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
699	#11758198	C₂²×C₄	1	1	yes	characteristic
700	#11758198	C₂²×C₄	1	1	yes	characteristic
701	#11758198	C₂²×C₄	1	1	yes	characteristic
702	#11758198	C₂²×C₄	1	1	yes	characteristic
703	#11758198	C₂²×C₄	1	1	yes	characteristic
704	#11758198	C₂²×C₄	1	1	yes	characteristic
705	#11758198	C₂²×C₄	1	1	yes	characteristic
706	#11758198	C₂²×C₄	1	1	yes	characteristic
707	#11758198	C₂²×C₄	1	1	yes	characteristic
708	#11758198	C₂²×C₄	1	1	yes	characteristic
709	#11758198	C₂²×C₄	1	1	yes	characteristic
710	#11758198	C₂²×C₄	1	1	yes	characteristic
711	#11758198	C₂²×C₄	1	1	yes	characteristic
712	#11758198	C₂²×C₄	1	1	yes	characteristic
713	#11758198	C₂²×C₄	1	1	yes	characteristic
714	#11758198	C₂²×C₄	1	1	yes	characteristic
715	#11758198	C₂²×C₄	1	1	yes	characteristic
716	#11758198	C₂²×C₄	1	1	yes	characteristic
717	#11758198	C₂²×C₄	1	1	yes	characteristic
718	#11758198	C₂²×C₄	1	1	yes	characteristic
719	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
720	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
721	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
722	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
723	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
724	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
725	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
726	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
727	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
728	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
729	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
730	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
731	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
732	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
733	#11758196	C₂²×C₄	1	1	yes	characteristic
734	#11758196	C₂²×C₄	1	1	yes	characteristic
735	#11758196	C₂²×C₄	1	1	yes	characteristic
736	#11758196	C₂²×C₄	1	1	yes	characteristic
737	#11758196	C₂²×C₄	1	1	yes	characteristic
738	#11758196	C₂²×C₄	1	1	yes	characteristic
739	#11758196	C₂²×C₄	1	1	yes	characteristic
740	#11758196	C₂²×C₄	1	1	yes	characteristic
741	#11758196	C₂²×C₄	1	1	yes	characteristic
742	#11758196	C₂²×C₄	1	1	yes	characteristic
743	#11758196	C₂²×C₄	1	1	yes	characteristic
744	#11758196	C₂²×C₄	1	1	yes	characteristic
745	#11758196	C₂²×C₄	1	1	yes	characteristic
746	#11758196	C₂²×C₄	1	1	yes	characteristic
747	#11758196	C₂²×C₄	1	1	yes	characteristic
748	#11758196	C₂²×C₄	1	1	yes	characteristic
749	#11758196	C₂²×C₄	1	1	yes	characteristic
750	#11758196	C₂²×C₄	1	1	yes	characteristic
751	#11758196	C₂²×C₄	1	1	yes	characteristic
752	#11758196	C₂²×C₄	1	1	yes	characteristic
753	#11758196	C₂²×C₄	1	1	yes	characteristic
754	#11758196	C₂²×C₄	1	1	yes	characteristic
755	#11758196	C₂²×C₄	1	1	yes	characteristic
756	#11758196	C₂²×C₄	1	1	yes	characteristic
757	#11758196	C₂²×C₄	1	1	yes	characteristic
758	#11758196	C₂²×C₄	1	1	yes	characteristic
759	#11758196	C₂²×C₄	1	1	yes	characteristic
760	#11758196	C₂²×C₄	1	1	yes	characteristic
761	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
762	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
763	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
764	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
765	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
766	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
767	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
768	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
769	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
770	C₂²×D₆₁	—	2	1	no	—
771	C₂²×D₆₁	—	2	1	no	—
772	C₂²×D₆₁	—	2	1	no	—
773	C₂²×D₆₁	—	2	1	no	—
774	C₂²×D₆₁	—	2	1	no	—
775	C₂²×D₆₁	—	2	1	no	—
776	C₂²×D₆₁	—	2	1	no	—
777	C₂²×D₆₁	—	2	1	no	—
778	C₂²×D₆₁	—	2	1	no	—
779	C₂²×D₆₁	—	2	1	no	—
780	C₂²×D₆₁	—	2	1	no	—
781	C₂²×D₆₁	—	2	1	no	—
782	C₂²×D₆₁	—	2	1	no	—
783	C₂²×D₆₁	—	2	1	no	—
784	C₂²×D₆₁	—	2	1	no	—
785	C₂²×D₆₁	—	2	1	no	—
786	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
787	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
788	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
789	C₂²×D₆₁	C₂×#41	1	2	yes	—
790	C₂²×D₆₁	C₂×#41	1	2	yes	—
791	C₂²×D₆₁	C₂⁵	1	1	yes	characteristic
792	C₂×#6923	—	2	1	no	—
793	C₂×#6923	—	2	1	no	—
794	C₂×#6923	—	2	1	no	—
795	C₂×#6923	—	2	1	no	—
796	C₂×#6923	—	2	1	no	—
797	C₂×#6923	—	2	1	no	—
798	C₂×#6923	—	2	1	no	—
799	C₂×#6923	—	2	1	no	—
800	C₂×#6923	—	2	1	no	—
801	C₂×#6923	—	2	1	no	—
802	C₂×#6923	—	2	1	no	—
803	C₂×#6923	—	2	1	no	—
804	C₂×#6923	—	2	1	no	—
805	C₂×#6923	—	2	1	no	—
806	C₂×#6923	—	2	1	no	—
807	C₂×#6923	—	2	1	no	—
808	C₂×#6923	—	2	1	no	—
809	C₂×#6923	—	2	1	no	—
810	C₂×#6923	—	2	1	no	—
811	C₂×#6923	—	2	1	no	—
812	C₂×#6923	—	2	1	no	—
813	C₂×#6923	—	2	1	no	—
814	C₂×#6923	—	2	1	no	—
815	C₂×#6923	—	2	1	no	—
816	C₂×#6923	—	2	1	no	—
817	C₂×#6923	—	2	1	no	—
818	C₂×#6923	—	2	1	no	—
819	C₂×#6923	—	2	1	no	—
820	C₂×#6923	—	2	1	no	—
821	C₂×#6923	—	2	1	no	—
822	C₂×#6923	—	2	1	no	—
823	C₂×#6923	—	2	1	no	—
824	C₂×#6923	—	2	1	no	—
825	C₂×#6923	—	2	1	no	—
826	C₂×#6923	—	2	1	no	—
827	C₂×#6923	—	2	1	no	—
828	C₂×#6923	—	2	1	no	—
829	C₂×#6923	—	2	1	no	—
830	C₂×#6923	—	2	1	no	—
831	C₂×#6923	—	2	1	no	—
832	C₂×#6923	—	2	1	no	—
833	C₂×#6923	—	2	1	no	—
834	C₂×#6923	—	4	4	no	—
835	C₂×#6923	—	4	4	no	—
836	C₂×#6923	—	4	4	no	—
837	C₂×#6923	—	4	4	no	—
838	C₂×#6923	—	8	2	no	—
839	C₂×#6923	—	8	2	no	—
840	C₂×#6923	—	8	2	no	—
841	C₂×#6923	—	8	2	no	—
842	C₂×#6923	C₂×#41	1	2	yes	—
843	C₂×#6923	C₂×#41	1	2	yes	—
844	C₂×#6923	C₂×#41	1	2	yes	—
845	C₂×#6923	C₂×#41	1	2	yes	—
846	C₂×#6923	H(5,𝔽₂)	1	2	yes	—
847	C₂×#6923	2₋¹⁺⁴	1	2	yes	—
848	Q₈×C₆₁	—	4	1	no	—
849	D₄×C₆₁	—	2	2	no	—
850	D₄×C₆₁	—	2	2	no	—
851	D₄×C₆₁	—	4	1	no	—
852	C₂×C₄×C₆₁	—	2	2	no	—
853	C₂×C₄×C₆₁	—	4	1	no	—
854	C₂×C₄×C₆₁	—	4	1	no	—
855	C₂×C₄×C₆₁	—	4	1	no	—
856	C₂×C₄×C₆₁	—	4	1	no	—
857	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
858	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
859	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
860	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
861	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
862	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
863	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
864	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
865	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
866	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
867	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
868	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
869	C₂²⋊D₆₁	—	2	2	no	—
870	C₂²⋊D₆₁	—	2	2	no	—
871	C₂²⋊D₆₁	—	2	2	no	—
872	C₂²⋊D₆₁	—	2	2	no	—
873	C₂²⋊D₆₁	—	4	1	no	—
874	C₂²⋊D₆₁	—	4	1	no	—
875	C₂×Dic₆₁	—	2	2	no	—
876	C₂×Dic₆₁	—	4	1	no	—
877	C₂×Dic₆₁	—	4	1	no	—
878	C₂×Dic₆₁	—	4	1	no	—
879	C₂×Dic₆₁	—	4	1	no	—
880	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
881	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
882	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
883	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
884	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
885	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
886	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
887	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
888	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
889	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
890	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
891	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
892	D₂₄₄	—	2	2	no	—
893	D₂₄₄	—	2	2	no	—
894	D₂₄₄	—	4	1	no	—
895	C₄×D₆₁	—	2	2	no	—
896	C₄×D₆₁	—	2	2	no	—
897	C₄×D₆₁	—	2	1	no	—
898	C₄×D₆₁	—	2	1	no	—
899	C₄×D₆₁	—	2	1	no	—
900	C₄×D₆₁	—	2	1	no	—
901	C₄×D₆₁	—	2	1	no	—
902	C₄×D₆₁	—	2	1	no	—
903	C₄×D₆₁	—	2	1	no	—
904	C₄×D₆₁	—	2	1	no	—
905	C₄×D₆₁	—	2	1	no	—
906	C₄×D₆₁	—	2	1	no	—
907	C₄×D₆₁	—	2	1	no	—
908	C₄×D₆₁	—	2	1	no	—
909	C₄×D₆₁	—	2	1	no	—
910	C₄×D₆₁	—	2	1	no	—
911	C₄×D₆₁	—	2	1	no	—
912	C₄×D₆₁	—	2	1	no	—
913	C₄×D₆₁	—	2	1	no	—
914	C₄×D₆₁	—	2	1	no	—
915	C₄×D₆₁	—	2	1	no	—
916	C₄×D₆₁	—	2	1	no	—
917	C₄×D₆₁	—	2	1	no	—
918	C₄×D₆₁	—	2	1	no	—
919	C₄×D₆₁	—	2	1	no	—
920	C₄×D₆₁	—	2	1	no	—
921	C₄×D₆₁	—	4	1	no	—
922	C₄×D₆₁	—	4	1	no	—
923	C₄×D₆₁	—	4	1	no	—
924	C₄×D₆₁	—	4	1	no	—
925	C₄×D₆₁	—	4	1	no	—
926	C₄×D₆₁	—	4	1	no	—
927	C₄×D₆₁	—	4	1	no	—
928	C₄×D₆₁	—	4	1	no	—
929	Dic₁₂₂	—	4	1	no	—
930	Dic₁₂₂	—	4	1	no	—
931	Dic₁₂₂	—	4	1	no	—
932	#34282	—	61	1	no	maximal, Sylow
933	C₂²×C₆₁	—	2	1	no	—
934	C₂²×C₆₁	—	2	1	no	—
935	C₂²×C₆₁	—	2	1	no	—
936	C₂²×C₆₁	—	2	1	no	—
937	C₂²×C₆₁	—	2	1	no	—
938	C₂²×C₆₁	—	2	1	no	—
939	C₂²×C₆₁	—	2	1	no	—
940	C₂²×C₆₁	—	2	1	no	—
941	C₂²×C₆₁	C₄×#41	1	2	yes	—
942	C₂²×C₆₁	C₂⁴×C₄	1	1	yes	characteristic
943	C₂×D₆₁	—	2	1	no	—
944	C₂×D₆₁	—	2	1	no	—
945	C₂×D₆₁	—	2	2	no	—
946	C₂×D₆₁	—	2	2	no	—
947	C₂×D₆₁	—	2	2	no	—
948	C₂×D₆₁	—	2	2	no	—
949	C₂×D₆₁	—	2	1	no	—
950	C₂×D₆₁	—	2	1	no	—
951	C₂×D₆₁	—	2	1	no	—
952	C₂×D₆₁	—	2	1	no	—
953	C₂×D₆₁	—	2	1	no	—
954	C₂×D₆₁	—	2	1	no	—
955	C₂×D₆₁	—	4	1	no	—
956	C₂×D₆₁	—	4	1	no	—
957	C₂×D₆₁	—	4	1	no	—
958	C₂×D₆₁	—	4	1	no	—
959	C₂×D₆₁	—	4	1	no	—
960	C₂×D₆₁	—	4	1	no	—
961	C₂×D₆₁	—	4	1	no	—
962	C₂×D₆₁	—	4	1	no	—
963	C₂×D₆₁	C₄×#41	1	2	yes	—
964	C₂×D₆₁	C₂²×#41	1	1	yes	characteristic
965	C₂×D₆₁	C₂²×#41	1	1	yes	characteristic
966	C₂×D₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
967	C₂×D₆₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
968	C₂×D₆₁	#585	1	1	yes	characteristic
969	C₂×D₆₁	#585	1	1	yes	characteristic
970	#6923	—	2	2	no	—
971	#6923	—	2	2	no	—
972	#6923	—	2	2	no	—
973	#6923	—	2	2	no	—
974	#6923	—	2	2	no	—
975	#6923	—	2	2	no	—
976	#6923	—	4	1	no	—
977	#6923	—	4	1	no	—
978	#6923	—	4	1	no	—
979	#6923	—	4	1	no	—
980	#6923	—	4	1	no	—
981	#6923	—	4	1	no	—
982	#6923	—	4	1	no	—
983	#6923	—	4	1	no	—
984	#6923	—	4	1	no	—
985	#6923	—	4	1	no	—
986	C₄×C₆₁	—	2	1	no	—
987	C₄×C₆₁	—	2	1	no	—
988	C₄×C₆₁	—	2	1	no	—
989	C₄×C₆₁	—	2	1	no	—
990	C₄×C₆₁	—	2	1	no	—
991	C₄×C₆₁	—	2	1	no	—
992	C₄×C₆₁	—	2	1	no	—
993	C₄×C₆₁	—	2	1	no	—
994	C₄×C₆₁	—	2	1	no	—
995	C₄×C₆₁	—	2	1	no	—
996	C₄×C₆₁	—	2	1	no	—
997	C₄×C₆₁	—	2	1	no	—
998	Dic₆₁	—	2	1	no	—
999	Dic₆₁	—	2	1	no	—
1000	Dic₆₁	—	2	1	no	—
1001	Dic₆₁	—	2	1	no	—
1002	Dic₆₁	—	2	1	no	—
1003	Dic₆₁	—	2	1	no	—
1004	Dic₆₁	—	2	1	no	—
1005	Dic₆₁	—	2	1	no	—
1006	Dic₆₁	—	2	1	no	—
1007	Dic₆₁	—	2	1	no	—
1008	Dic₆₁	—	2	1	no	—
1009	Dic₆₁	—	2	1	no	—
1010	C₂×#539	—	61	1	no	—
1011	#2374	—	61	1	no	—
1012	#2373	—	61	1	no	—
1013	#2373	—	61	1	no	—
1014	#2371	—	61	1	no	—
1015	#2370	—	61	1	no	—
1016	#2368	—	61	1	no	—
1017	#2368	—	61	1	no	—
1018	#2364	—	61	1	no	—
1019	#2362	—	61	1	no	—
1020	#2361	—	61	1	no	—
1021	#2360	—	61	1	no	—
1022	#2359	—	61	1	no	—
1023	#2359	—	61	1	no	—
1024	#2359	—	61	1	no	—
1025	#2359	—	61	1	no	—
1026	#2359	—	61	1	no	—
1027	#2336	—	61	1	no	—
1028	#2335	—	61	1	no	—
1029	#2334	—	61	1	no	—
1030	#2332	—	61	1	no	—
1031	#2318	—	61	1	no	—
1032	C₄×#125	—	61	1	no	—
1033	C₄×#126	—	61	1	no	—
1034	C₄×C₂²⋊Q₈	—	61	1	no	—
1035	C₄×#123	—	61	1	no	—
1036	#2290	—	61	1	no	—
1037	C₂×#387	—	61	1	no	—
1038	#2275	—	61	1	no	—
1039	#2274	—	61	1	no	—
1040	C₄²×D₄	—	61	1	no	—
1041	C₂×C₆₁	—	2	2	no	—
1042	C₂×C₆₁	—	4	1	no	—
1043	C₂×C₆₁	—	4	1	no	—
1044	C₂×C₆₁	C₂×C₄×#41	1	1	yes	characteristic
1045	C₂×C₆₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1046	C₂×C₆₁	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1047	D₆₁	—	2	2	no	—
1048	D₆₁	—	4	1	no	—
1049	D₆₁	—	4	1	no	—
1050	D₆₁	#3513	1	1	yes	characteristic
1051	D₆₁	#3515	1	1	yes	characteristic
1052	D₆₁	#3520	1	1	yes	characteristic
1053	D₆₁	#3521	1	1	yes	characteristic
1054	#539	—	61	1	no	—
1055	#539	—	61	1	no	—
1056	#539	—	61	1	no	—
1057	#539	—	61	1	no	—
1058	#539	—	61	1	no	—
1059	#539	—	61	1	no	—
1060	#539	—	61	1	no	—
1061	#539	—	61	1	no	—
1062	#539	—	61	1	no	—
1063	#539	—	61	1	no	—
1064	#539	—	61	1	no	—
1065	#539	—	61	1	no	—
1066	#539	—	61	1	no	—
1067	#539	—	61	1	no	—
1068	#539	—	61	1	no	—
1069	#539	#6923	1	1	yes	characteristic, complemented
1070	C₂×#126	—	61	1	no	—
1071	C₂×#126	—	61	1	no	—
1072	C₂×#125	—	61	1	no	—
1073	C₂×#125	—	61	1	no	—
1074	C₂×#123	—	61	1	no	—
1075	C₂×#123	—	61	1	no	—
1076	C₂×#123	—	61	1	no	—
1077	C₂×#123	—	61	1	no	—
1078	C₂×C₂²⋊Q₈	—	61	1	no	—
1079	C₂×C₂²⋊Q₈	—	61	1	no	—
1080	C₂×C₂²⋊Q₈	—	61	1	no	—
1081	C₂×#121	—	61	1	no	—
1082	C₂×C₄×Q₈	—	61	1	no	—
1083	C₂×C₄×D₄	—	61	1	no	—
1084	C₂×C₄×D₄	—	61	1	no	—
1085	C₂×C₄×D₄	—	61	1	no	—
1086	C₂×C₄×D₄	—	61	1	no	—
1087	C₂×C₄×D₄	—	61	1	no	—
1088	C₂×C₄×D₄	—	61	1	no	—
1089	C₂×C₄×D₄	—	61	1	no	—
1090	C₂×#117	—	61	1	no	—
1091	C₂×#117	—	61	1	no	—
1092	C₂×#117	—	61	1	no	—
1093	C₂²×C₄⋊C₄	—	61	1	no	—
1094	C₂²×C₄⋊C₄	—	61	1	no	—
1095	C₂²×C₄²	—	61	1	no	—
1096	C₂²×C₄²	—	61	1	no	—
1097	#391	—	61	1	no	—
1098	#391	—	61	1	no	—
1099	#391	—	61	1	no	—
1100	#390	—	61	1	no	—
1101	#389	—	61	1	no	—
1102	#389	—	61	1	no	—
1103	#389	—	61	1	no	—
1104	#389	—	61	1	no	—
1105	#389	—	61	1	no	—
1106	#389	—	61	1	no	—
1107	#389	—	61	1	no	—
1108	#389	—	61	1	no	—
1109	#388	—	61	1	no	—
1110	#388	—	61	1	no	—
1111	#388	—	61	1	no	—
1112	#388	—	61	1	no	—
1113	#388	—	61	1	no	—
1114	#388	—	61	1	no	—
1115	#388	—	61	1	no	—
1116	#388	—	61	1	no	—
1117	#388	—	61	1	no	—
1118	#388	—	61	1	no	—
1119	#388	—	61	1	no	—
1120	#388	—	61	1	no	—
1121	#388	—	61	1	no	—
1122	#388	—	61	1	no	—
1123	#388	—	61	1	no	—
1124	#388	—	61	1	no	—
1125	#387	—	61	1	no	—
1126	#387	—	61	1	no	—
1127	#387	—	61	1	no	—
1128	#387	—	61	1	no	—
1129	#387	—	61	1	no	—
1130	#387	—	61	1	no	—
1131	#387	—	61	1	no	—
1132	#387	—	61	1	no	—
1133	#387	—	61	1	no	—
1134	#387	—	61	1	no	—
1135	#387	—	61	1	no	—
1136	#387	—	61	1	no	—
1137	#387	—	61	1	no	—
1138	#387	—	61	1	no	—
1139	#387	—	61	1	no	—
1140	#387	—	61	1	no	—
1141	#387	—	61	1	no	—
1142	#387	—	61	1	no	—
1143	#387	—	61	1	no	—
1144	#387	—	61	1	no	—
1145	#387	—	61	1	no	—
1146	#387	—	61	1	no	—
1147	#387	—	61	1	no	—
1148	#387	—	61	1	no	—
1149	#387	—	61	1	no	—
1150	#387	—	61	1	no	—
1151	#387	—	61	1	no	—
1152	#387	—	61	1	no	—
1153	#386	—	61	1	no	—
1154	#386	—	61	1	no	—
1155	#386	—	61	1	no	—
1156	#386	—	61	1	no	—
1157	#386	—	61	1	no	—
1158	#386	—	61	1	no	—
1159	#385	—	61	1	no	—
1160	#385	—	61	1	no	—
1161	#385	—	61	1	no	—
1162	#385	—	61	1	no	—
1163	#385	—	61	1	no	—
1164	#385	—	61	1	no	—
1165	#385	—	61	1	no	—
1166	#385	—	61	1	no	—
1167	#385	—	61	1	no	—
1168	#385	—	61	1	no	—
1169	#383	—	61	1	no	—
1170	#382	—	61	1	no	—
1171	#381	—	61	1	no	—
1172	#380	—	61	1	no	—
1173	C₄×C₄⋊C₄	—	61	1	no	—
1174	C₄×C₄⋊C₄	—	61	1	no	—
1175	C₄×C₄⋊C₄	—	61	1	no	—
1176	C₄×C₄⋊C₄	—	61	1	no	—
1177	C₄×C₄⋊C₄	—	61	1	no	—
1178	C₄×C₄⋊C₄	—	61	1	no	—
1179	C₄×C₄⋊C₄	—	61	1	no	—
1180	C₄×C₄⋊C₄	—	61	1	no	—
1181	C₄×C₄⋊C₄	—	61	1	no	—
1182	C₄×C₄⋊C₄	—	61	1	no	—
1183	C₄×C₄⋊C₄	—	61	1	no	—
1184	C₄×C₄⋊C₄	—	61	1	no	—
1185	C₄×C₄⋊C₄	—	61	1	no	—
1186	C₄×C₄⋊C₄	—	61	1	no	—
1187	C₄×C₄⋊C₄	—	61	1	no	—
1188	C₄×C₄⋊C₄	—	61	1	no	—
1189	C₄×C₄⋊C₄	—	61	1	no	—
1190	C₄×C₄⋊C₄	—	61	1	no	—
1191	C₄×C₄⋊C₄	—	61	1	no	—
1192	C₄×C₄⋊C₄	—	61	1	no	—
1193	C₄×C₄⋊C₄	—	61	1	no	—
1194	C₄×C₄⋊C₄	—	61	1	no	—
1195	C₄×C₄⋊C₄	—	61	1	no	—
1196	C₄×C₂²⋊C₄	—	61	1	no	—
1197	C₄×C₂²⋊C₄	—	61	1	no	—
1198	C₄×C₂²⋊C₄	—	61	1	no	—
1199	C₄×C₂²⋊C₄	—	61	1	no	—
1200	C₄×C₂²⋊C₄	—	61	1	no	—
1201	C₄×C₂²⋊C₄	—	61	1	no	—
1202	C₄×C₂²⋊C₄	—	61	1	no	—
1203	C₄×C₂²⋊C₄	—	61	1	no	—
1204	C₄×C₂²⋊C₄	—	61	1	no	—
1205	C₄×C₂²⋊C₄	—	61	1	no	—
1206	C₄×C₂²⋊C₄	—	61	1	no	—
1207	C₄×C₂²⋊C₄	—	61	1	no	—
1208	C₄×C₂²⋊C₄	—	61	1	no	—
1209	C₄×C₂²⋊C₄	—	61	1	no	—
1210	C₄×C₂²⋊C₄	—	61	1	no	—
1211	C₄×C₂²⋊C₄	—	61	1	no	—
1212	C₄×C₂²⋊C₄	—	61	1	no	—
1213	C₄×C₂²⋊C₄	—	61	1	no	—
1214	C₄×C₂²⋊C₄	—	61	1	no	—
1215	C₄×C₂²⋊C₄	—	61	1	no	—
1216	C₄×C₂²⋊C₄	—	61	1	no	—
1217	#376	—	61	1	no	—
1218	#376	—	61	1	no	—
1219	C₂×#95	—	61	1	no	—
1220	C₂×#95	—	61	1	no	—
1221	C₂×#95	—	61	1	no	—
1222	C₂×#95	—	61	1	no	—
1223	C₂×#95	—	61	1	no	—
1224	C₄³	—	61	1	no	—
1225	C₆₁	#34282	1	1	yes	characteristic, complemented, Sylow
1226	C₂²×Q₈	—	61	1	no	—
1227	C₂²×D₄	—	61	1	no	—
1228	C₂²×D₄	—	61	1	no	—
1229	C₂²×D₄	—	61	1	no	—
1230	C₂³×C₄	—	61	1	no	—
1231	C₂³×C₄	—	61	1	no	—
1232	C₂³×C₄	—	61	1	no	—
1233	C₂³×C₄	—	61	1	no	—
1234	C₂³×C₄	—	61	1	no	—
1235	C₂³×C₄	—	61	1	no	—
1236	C₂³×C₄	—	61	1	no	—
1237	C₂³×C₄	—	61	1	no	—
1238	C₂³×C₄	—	61	1	no	—
1239	C₂³×C₄	—	61	1	no	—
1240	C₂³×C₄	—	61	1	no	—
1241	C₂³×C₄	—	61	1	no	—
1242	C₂³×C₄	—	61	1	no	—
1243	#126	—	61	1	no	—
1244	#126	—	61	1	no	—
1245	#126	—	61	1	no	—
1246	#126	—	61	1	no	—
1247	#126	—	61	1	no	—
1248	#126	—	61	1	no	—
1249	#126	—	61	1	no	—
1250	#126	—	61	1	no	—
1251	#126	—	61	1	no	—
1252	#126	—	61	1	no	—
1253	#126	—	61	1	no	—
1254	#126	—	61	1	no	—
1255	#126	—	61	1	no	—
1256	#126	—	61	1	no	—
1257	#126	C₂×#6923	1	1	yes	characteristic, complemented
1258	#126	C₂×#6923	1	1	yes	characteristic, complemented
1259	#125	—	61	1	no	—
1260	#125	—	61	1	no	—
1261	#125	—	61	1	no	—
1262	#125	—	61	1	no	—
1263	#125	—	61	1	no	—
1264	#125	—	61	1	no	—
1265	#125	—	61	1	no	—
1266	#125	—	61	1	no	—
1267	#125	—	61	1	no	—
1268	#125	—	61	1	no	—
1269	#125	—	61	1	no	—
1270	#125	—	61	1	no	—
1271	#125	—	61	1	no	—
1272	#125	—	61	1	no	—
1273	#125	C₂×#6923	1	1	yes	characteristic, complemented
1274	#125	C₂×#6923	1	1	yes	characteristic, complemented
1275	#123	—	61	1	no	—
1276	#123	—	61	1	no	—
1277	#123	—	61	1	no	—
1278	#123	—	61	1	no	—
1279	#123	—	61	1	no	—
1280	#123	—	61	1	no	—
1281	#123	—	61	1	no	—
1282	#123	—	61	1	no	—
1283	#123	—	61	1	no	—
1284	#123	—	61	1	no	—
1285	#123	—	61	1	no	—
1286	#123	—	61	1	no	—
1287	#123	—	61	1	no	—
1288	#123	—	61	1	no	—
1289	#123	—	61	1	no	—
1290	#123	—	61	1	no	—
1291	#123	—	61	1	no	—
1292	#123	—	61	1	no	—
1293	#123	—	61	1	no	—
1294	#123	—	61	1	no	—
1295	#123	—	61	1	no	—
1296	#123	—	61	1	no	—
1297	#123	—	61	1	no	—
1298	#123	—	61	1	no	—
1299	#123	—	61	1	no	—
1300	#123	—	61	1	no	—
1301	#123	—	61	1	no	—
1302	#123	—	61	1	no	—
1303	#123	C₂×#6923	1	1	yes	characteristic, complemented
1304	#123	C₂×#6923	1	1	yes	characteristic, complemented
1305	#123	C₂×#6923	1	1	yes	characteristic, complemented
1306	#123	C₂×#6923	1	1	yes	characteristic, complemented
1307	C₂²⋊Q₈	—	61	1	no	—
1308	C₂²⋊Q₈	—	61	1	no	—
1309	C₂²⋊Q₈	—	61	1	no	—
1310	C₂²⋊Q₈	—	61	1	no	—
1311	C₂²⋊Q₈	—	61	1	no	—
1312	C₂²⋊Q₈	—	61	1	no	—
1313	C₂²⋊Q₈	—	61	1	no	—
1314	C₂²⋊Q₈	—	61	1	no	—
1315	C₂²⋊Q₈	—	61	1	no	—
1316	C₂²⋊Q₈	—	61	1	no	—
1317	C₂²⋊Q₈	—	61	1	no	—
1318	C₂²⋊Q₈	—	61	1	no	—
1319	C₂²⋊Q₈	—	61	1	no	—
1320	C₂²⋊Q₈	—	61	1	no	—
1321	C₂²⋊Q₈	—	61	1	no	—
1322	C₂²⋊Q₈	—	61	1	no	—
1323	C₂²⋊Q₈	—	61	1	no	—
1324	C₂²⋊Q₈	—	61	1	no	—
1325	C₂²⋊Q₈	—	61	1	no	—
1326	C₂²⋊Q₈	—	61	1	no	—
1327	C₂²⋊Q₈	—	61	1	no	—
1328	C₂²⋊Q₈	C₂×#6923	1	1	yes	characteristic, complemented
1329	C₂²⋊Q₈	C₂×#6923	1	1	yes	characteristic, complemented
1330	C₂²⋊Q₈	C₂×#6923	1	1	yes	characteristic, complemented
1331	#121	—	61	1	no	—
1332	#121	—	61	1	no	—
1333	#121	—	61	1	no	—
1334	#121	—	61	1	no	—
1335	#121	—	61	1	no	—
1336	#121	—	61	1	no	—
1337	#121	—	61	1	no	—
1338	#121	C₂×#6923	1	1	yes	characteristic
1339	C₄×Q₈	—	244	2	no	—
1340	C₄×D₄	—	61	1	no	—
1341	C₄×D₄	—	61	1	no	—
1342	C₄×D₄	—	61	1	no	—
1343	C₄×D₄	—	61	1	no	—
1344	C₄×D₄	—	61	1	no	—
1345	C₄×D₄	—	61	1	no	—
1346	C₄×D₄	—	61	1	no	—
1347	C₄×D₄	—	61	1	no	—
1348	C₄×D₄	—	61	1	no	—
1349	C₄×D₄	—	61	1	no	—
1350	C₄×D₄	—	61	1	no	—
1351	C₄×D₄	—	61	1	no	—
1352	C₄×D₄	—	61	1	no	—
1353	C₄×D₄	—	61	1	no	—
1354	C₄×D₄	—	122	4	no	—
1355	C₄×D₄	—	122	4	no	—
1356	C₄×D₄	—	122	4	no	—
1357	C₄×D₄	—	122	4	no	—
1358	C₄×D₄	—	244	2	no	—
1359	C₄×D₄	C₂×#6923	1	1	yes	characteristic, complemented
1360	C₄×D₄	C₂×#6923	1	1	yes	characteristic, complemented
1361	#117	—	122	4	no	—
1362	#117	—	122	4	no	—
1363	#117	—	244	2	no	—
1364	C₂×C₄⋊C₄	—	61	1	no	—
1365	C₂×C₄⋊C₄	—	61	1	no	—
1366	C₂×C₄⋊C₄	—	61	1	no	—
1367	C₂×C₄⋊C₄	—	61	1	no	—
1368	C₂×C₄⋊C₄	—	61	1	no	—
1369	C₂×C₄⋊C₄	—	61	1	no	—
1370	C₂×C₄⋊C₄	—	61	1	no	—
1371	C₂×C₄⋊C₄	—	61	1	no	—
1372	C₂×C₄⋊C₄	—	61	1	no	—
1373	C₂×C₄⋊C₄	—	61	1	no	—
1374	C₂×C₄⋊C₄	—	61	1	no	—
1375	C₂×C₄⋊C₄	—	61	1	no	—
1376	C₂×C₄⋊C₄	—	61	1	no	—
1377	C₂×C₄⋊C₄	—	61	1	no	—
1378	C₂×C₄⋊C₄	—	61	1	no	—
1379	C₂×C₄⋊C₄	—	61	1	no	—
1380	C₂×C₄⋊C₄	—	61	1	no	—
1381	C₂×C₄⋊C₄	—	61	1	no	—
1382	C₂×C₄⋊C₄	—	61	1	no	—
1383	C₂×C₄⋊C₄	—	61	1	no	—
1384	C₂×C₄⋊C₄	—	61	1	no	—
1385	C₂×C₄⋊C₄	—	61	1	no	—
1386	C₂×C₄⋊C₄	—	61	1	no	—
1387	C₂×C₄⋊C₄	—	61	1	no	—
1388	C₂×C₄⋊C₄	—	61	1	no	—
1389	C₂×C₄⋊C₄	—	61	1	no	—
1390	C₂×C₄⋊C₄	—	61	1	no	—
1391	C₂×C₄⋊C₄	—	61	1	no	—
1392	C₂×C₄⋊C₄	—	61	1	no	—
1393	C₂×C₄⋊C₄	—	61	1	no	—
1394	C₂×C₄⋊C₄	—	61	1	no	—
1395	C₂×C₄⋊C₄	—	61	1	no	—
1396	C₂×C₄⋊C₄	—	61	1	no	—
1397	C₂×C₄⋊C₄	—	61	1	no	—
1398	C₂×C₄⋊C₄	—	61	1	no	—
1399	C₂×C₄⋊C₄	—	61	1	no	—
1400	C₂×C₄⋊C₄	—	61	1	no	—
1401	C₂×C₄⋊C₄	—	61	1	no	—
1402	C₂×C₄⋊C₄	—	61	1	no	—
1403	C₂×C₄⋊C₄	—	61	1	no	—
1404	C₂×C₄⋊C₄	—	61	1	no	—
1405	C₂×C₄⋊C₄	—	244	2	no	—
1406	C₂×C₄⋊C₄	C₂×#6923	1	1	yes	characteristic, complemented
1407	C₂×C₂²⋊C₄	—	61	1	no	—
1408	C₂×C₂²⋊C₄	—	61	1	no	—
1409	C₂×C₂²⋊C₄	—	61	1	no	—
1410	C₂×C₂²⋊C₄	—	61	1	no	—
1411	C₂×C₂²⋊C₄	—	61	1	no	—
1412	C₂×C₂²⋊C₄	—	61	1	no	—
1413	C₂×C₂²⋊C₄	—	61	1	no	—
1414	C₂×C₂²⋊C₄	—	61	1	no	—
1415	C₂×C₂²⋊C₄	—	61	1	no	—
1416	C₂×C₂²⋊C₄	—	61	1	no	—
1417	C₂×C₂²⋊C₄	—	61	1	no	—
1418	C₂×C₂²⋊C₄	—	61	1	no	—
1419	C₂×C₂²⋊C₄	—	61	1	no	—
1420	C₂×C₂²⋊C₄	—	61	1	no	—
1421	C₂×C₂²⋊C₄	—	61	1	no	—
1422	C₂×C₂²⋊C₄	—	61	1	no	—
1423	C₂×C₂²⋊C₄	—	61	1	no	—
1424	C₂×C₂²⋊C₄	—	61	1	no	—
1425	C₂×C₂²⋊C₄	—	61	1	no	—
1426	C₂×C₂²⋊C₄	—	61	1	no	—
1427	C₂×C₂²⋊C₄	—	61	1	no	—
1428	C₂×C₂²⋊C₄	—	61	1	no	—
1429	C₂×C₂²⋊C₄	—	61	1	no	—
1430	C₂×C₂²⋊C₄	—	61	1	no	—
1431	C₂×C₂²⋊C₄	—	61	1	no	—
1432	C₂×C₂²⋊C₄	—	61	1	no	—
1433	C₂×C₄²	—	61	1	no	—
1434	C₂×C₄²	—	61	1	no	—
1435	C₂×C₄²	—	61	1	no	—
1436	C₂×C₄²	—	61	1	no	—
1437	C₂×C₄²	—	61	1	no	—
1438	C₂×C₄²	—	61	1	no	—
1439	C₂×C₄²	—	61	1	no	—
1440	C₂×C₄²	—	61	1	no	—
1441	C₂×C₄²	—	61	1	no	—
1442	C₂×C₄²	—	61	1	no	—
1443	C₂×C₄²	—	61	1	no	—
1444	C₂×C₄²	—	61	1	no	—
1445	C₂×C₄²	—	61	1	no	—
1446	C₂×C₄²	—	61	1	no	—
1447	C₂×C₄²	—	61	1	no	—
1448	C₂×C₄²	—	61	1	no	—
1449	C₂×C₄²	—	61	1	no	—
1450	C₂×C₄²	—	61	1	no	—
1451	C₂×C₄²	—	61	1	no	—
1452	C₂×C₄²	—	61	1	no	—
1453	C₂×C₄²	—	61	1	no	—
1454	C₂×C₄²	—	61	1	no	—
1455	C₂×C₄²	—	61	1	no	—
1456	C₂×C₄²	—	61	1	no	—
1457	C₂×C₄²	—	61	1	no	—
1458	C₂×C₄²	—	61	1	no	—
1459	C₂×C₄²	—	61	1	no	—
1460	C₂×C₄²	—	61	1	no	—
1461	C₂×C₄²	—	61	1	no	—
1462	C₂×C₄²	—	61	1	no	—
1463	C₂×C₄²	—	244	2	no	—
1464	C₂×C₄²	—	244	2	no	—
1465	#95	—	61	1	no	—
1466	#95	—	61	1	no	—
1467	#95	—	61	1	no	—
1468	#95	—	61	1	no	—
1469	#95	—	61	1	no	—
1470	#95	—	61	1	no	—
1471	#95	—	61	1	no	—
1472	#95	—	61	1	no	—
1473	#95	—	61	1	no	—
1474	#95	—	61	1	no	—
1475	#95	—	61	1	no	—
1476	#95	—	61	1	no	—
1477	#95	—	61	1	no	—
1478	#95	—	61	1	no	—
1479	#95	—	61	1	no	—
1480	#95	—	61	1	no	—
1481	#95	—	61	1	no	—
1482	#95	—	61	1	no	—
1483	#95	—	61	1	no	—
1484	#95	—	61	1	no	—
1485	#95	—	61	1	no	—
1486	#95	—	61	1	no	—
1487	#95	—	61	1	no	—
1488	#95	—	61	1	no	—
1489	#95	—	61	1	no	—
1490	#95	—	61	1	no	—
1491	#95	—	61	1	no	—
1492	#95	—	61	1	no	—
1493	#95	—	61	1	no	—
1494	#95	—	61	1	no	—
1495	#95	—	61	1	no	—
1496	#95	—	61	1	no	—
1497	#95	—	61	1	no	—
1498	#95	—	61	1	no	—
1499	#95	—	61	1	no	—
1500	#95	—	61	1	no	—
1501	#95	—	61	1	no	—
1502	#95	—	61	1	no	—
1503	#95	—	61	1	no	—
1504	#95	—	61	1	no	—
1505	#95	—	61	1	no	—
1506	#95	—	61	1	no	—
1507	#95	—	61	1	no	—
1508	#95	—	61	1	no	—
1509	#95	—	61	1	no	—
1510	#95	—	61	1	no	—
1511	#95	—	61	1	no	—
1512	#95	—	61	1	no	—
1513	C₂⁴	—	61	1	no	—
1514	C₂⁴	—	61	1	no	—
1515	C₂⁴	—	61	1	no	—
1516	C₂×Q₈	—	61	1	no	—
1517	C₂×Q₈	—	61	1	no	—
1518	C₂×Q₈	—	61	1	no	—
1519	C₂×Q₈	—	244	1	no	—
1520	C₂×Q₈	—	244	1	no	—
1521	C₂×Q₈	C₂²×#6923	1	1	yes	characteristic
1522	C₂×D₄	—	61	1	no	—
1523	C₂×D₄	—	61	1	no	—
1524	C₂×D₄	—	61	1	no	—
1525	C₂×D₄	—	61	1	no	—
1526	C₂×D₄	—	61	1	no	—
1527	C₂×D₄	—	61	1	no	—
1528	C₂×D₄	—	61	1	no	—
1529	C₂×D₄	—	61	1	no	—
1530	C₂×D₄	—	61	1	no	—
1531	C₂×D₄	—	122	2	no	—
1532	C₂×D₄	—	122	2	no	—
1533	C₂×D₄	—	122	2	no	—
1534	C₂×D₄	—	122	2	no	—
1535	C₂×D₄	—	244	1	no	—
1536	C₂×D₄	—	244	1	no	—
1537	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1538	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1539	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1540	C₂²×C₄	—	61	1	no	—
1541	C₂²×C₄	—	61	1	no	—
1542	C₂²×C₄	—	61	1	no	—
1543	C₂²×C₄	—	61	1	no	—
1544	C₂²×C₄	—	61	1	no	—
1545	C₂²×C₄	—	61	1	no	—
1546	C₂²×C₄	—	61	1	no	—
1547	C₂²×C₄	—	61	1	no	—
1548	C₂²×C₄	—	61	1	no	—
1549	C₂²×C₄	—	61	1	no	—
1550	C₂²×C₄	—	61	1	no	—
1551	C₂²×C₄	—	61	1	no	—
1552	C₂²×C₄	—	61	1	no	—
1553	C₂²×C₄	—	61	1	no	—
1554	C₂²×C₄	—	61	1	no	—
1555	C₂²×C₄	—	61	1	no	—
1556	C₂²×C₄	—	61	1	no	—
1557	C₂²×C₄	—	61	1	no	—
1558	C₂²×C₄	—	61	1	no	—
1559	C₂²×C₄	—	61	1	no	—
1560	C₂²×C₄	—	61	1	no	—
1561	C₂²×C₄	—	61	1	no	—
1562	C₂²×C₄	—	61	1	no	—
1563	C₂²×C₄	—	61	1	no	—
1564	C₂²×C₄	—	61	1	no	—
1565	C₂²×C₄	—	61	1	no	—
1566	C₂²×C₄	—	61	1	no	—
1567	C₂²×C₄	—	61	1	no	—
1568	C₂²×C₄	—	61	1	no	—
1569	C₂²×C₄	—	61	1	no	—
1570	C₂²×C₄	—	61	1	no	—
1571	C₂²×C₄	—	61	1	no	—
1572	C₂²×C₄	—	61	1	no	—
1573	C₂²×C₄	—	61	1	no	—
1574	C₂²×C₄	—	61	1	no	—
1575	C₂²×C₄	—	61	1	no	—
1576	C₂²×C₄	—	61	1	no	—
1577	C₂²×C₄	—	61	1	no	—
1578	C₂²×C₄	—	61	1	no	—
1579	C₂²×C₄	—	61	1	no	—
1580	C₂²×C₄	—	61	1	no	—
1581	C₂²×C₄	—	61	1	no	—
1582	C₂²×C₄	—	61	1	no	—
1583	C₂²×C₄	—	122	2	no	—
1584	C₂²×C₄	—	122	2	no	—
1585	C₂²×C₄	—	122	2	no	—
1586	C₂²×C₄	—	122	2	no	—
1587	C₂²×C₄	—	122	2	no	—
1588	C₂²×C₄	—	122	2	no	—
1589	C₂²×C₄	—	122	2	no	—
1590	C₂²×C₄	—	122	2	no	—
1591	C₂²×C₄	—	122	2	no	—
1592	C₂²×C₄	—	122	2	no	—
1593	C₂²×C₄	—	122	2	no	—
1594	C₂²×C₄	—	122	2	no	—
1595	C₂²×C₄	—	122	2	no	—
1596	C₂²×C₄	—	122	2	no	—
1597	C₂²×C₄	—	244	1	no	—
1598	C₂²×C₄	—	244	1	no	—
1599	C₂²×C₄	—	244	1	no	—
1600	C₂²×C₄	—	244	1	no	—
1601	C₂²×C₄	—	244	1	no	—
1602	C₂²×C₄	—	244	1	no	—
1603	C₂²×C₄	—	244	1	no	—
1604	C₂²×C₄	—	244	1	no	—
1605	C₂²×C₄	—	244	1	no	—
1606	C₂²×C₄	—	244	1	no	—
1607	C₂²×C₄	—	244	1	no	—
1608	C₂²×C₄	—	244	1	no	—
1609	C₂²×C₄	—	244	1	no	—
1610	C₂²×C₄	—	244	1	no	—
1611	C₂²×C₄	—	244	1	no	—
1612	C₂²×C₄	—	244	1	no	—
1613	C₂²×C₄	—	244	1	no	—
1614	C₂²×C₄	—	244	1	no	—
1615	C₂²×C₄	—	244	1	no	—
1616	C₂²×C₄	—	244	1	no	—
1617	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1618	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1619	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1620	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1621	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1622	C₄⋊C₄	—	61	1	no	—
1623	C₄⋊C₄	—	61	1	no	—
1624	C₄⋊C₄	—	61	1	no	—
1625	C₄⋊C₄	—	61	1	no	—
1626	C₄⋊C₄	—	61	1	no	—
1627	C₄⋊C₄	—	61	1	no	—
1628	C₄⋊C₄	—	61	1	no	—
1629	C₄⋊C₄	—	61	1	no	—
1630	C₄⋊C₄	—	61	1	no	—
1631	C₄⋊C₄	—	61	1	no	—
1632	C₄⋊C₄	—	61	1	no	—
1633	C₄⋊C₄	—	61	1	no	—
1634	C₄⋊C₄	—	61	1	no	—
1635	C₄⋊C₄	—	61	1	no	—
1636	C₄⋊C₄	—	61	1	no	—
1637	C₄⋊C₄	—	61	1	no	—
1638	C₄⋊C₄	—	61	1	no	—
1639	C₄⋊C₄	—	61	1	no	—
1640	C₄⋊C₄	—	61	1	no	—
1641	C₄⋊C₄	—	61	1	no	—
1642	C₄⋊C₄	—	61	1	no	—
1643	C₄⋊C₄	—	61	1	no	—
1644	C₄⋊C₄	—	61	1	no	—
1645	C₄⋊C₄	—	61	1	no	—
1646	C₄⋊C₄	—	61	1	no	—
1647	C₄⋊C₄	—	61	1	no	—
1648	C₄⋊C₄	—	61	1	no	—
1649	C₄⋊C₄	—	61	1	no	—
1650	C₄⋊C₄	—	61	1	no	—
1651	C₄⋊C₄	—	61	1	no	—
1652	C₄⋊C₄	—	61	1	no	—
1653	C₄⋊C₄	—	61	1	no	—
1654	C₄⋊C₄	—	61	1	no	—
1655	C₄⋊C₄	—	61	1	no	—
1656	C₄⋊C₄	—	61	1	no	—
1657	C₄⋊C₄	—	61	1	no	—
1658	C₄⋊C₄	—	61	1	no	—
1659	C₄⋊C₄	—	61	1	no	—
1660	C₄⋊C₄	—	61	1	no	—
1661	C₄⋊C₄	—	61	1	no	—
1662	C₄⋊C₄	—	61	1	no	—
1663	C₄⋊C₄	—	61	1	no	—
1664	C₄⋊C₄	—	122	2	no	—
1665	C₄⋊C₄	—	122	2	no	—
1666	C₄⋊C₄	—	122	2	no	—
1667	C₄⋊C₄	—	122	2	no	—
1668	C₄⋊C₄	—	122	2	no	—
1669	C₄⋊C₄	—	122	2	no	—
1670	C₄⋊C₄	—	122	2	no	—
1671	C₄⋊C₄	—	122	2	no	—
1672	C₄⋊C₄	—	122	2	no	—
1673	C₄⋊C₄	—	122	2	no	—
1674	C₄⋊C₄	—	122	2	no	—
1675	C₄⋊C₄	—	122	2	no	—
1676	C₄⋊C₄	—	244	1	no	—
1677	C₄⋊C₄	—	244	1	no	—
1678	C₄⋊C₄	—	244	1	no	—
1679	C₄⋊C₄	—	244	1	no	—
1680	C₄⋊C₄	—	244	1	no	—
1681	C₄⋊C₄	—	244	1	no	—
1682	C₄⋊C₄	—	244	1	no	—
1683	C₄⋊C₄	—	244	1	no	—
1684	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1685	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1686	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1687	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1688	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1689	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1690	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1691	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1692	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1693	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1694	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1695	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1696	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1697	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1698	C₂²⋊C₄	—	61	4	no	—
1699	C₂²⋊C₄	—	61	4	no	—
1700	C₂²⋊C₄	—	61	1	no	—
1701	C₂²⋊C₄	—	61	1	no	—
1702	C₂²⋊C₄	—	61	1	no	—
1703	C₂²⋊C₄	—	61	1	no	—
1704	C₂²⋊C₄	—	61	1	no	—
1705	C₂²⋊C₄	—	61	1	no	—
1706	C₂²⋊C₄	—	61	1	no	—
1707	C₂²⋊C₄	—	61	1	no	—
1708	C₂²⋊C₄	—	61	1	no	—
1709	C₂²⋊C₄	—	61	1	no	—
1710	C₂²⋊C₄	—	61	1	no	—
1711	C₂²⋊C₄	—	61	1	no	—
1712	C₂²⋊C₄	—	61	1	no	—
1713	C₂²⋊C₄	—	61	1	no	—
1714	C₂²⋊C₄	—	61	1	no	—
1715	C₂²⋊C₄	—	61	1	no	—
1716	C₂²⋊C₄	—	61	1	no	—
1717	C₂²⋊C₄	—	61	1	no	—
1718	C₂²⋊C₄	—	61	1	no	—
1719	C₂²⋊C₄	—	61	1	no	—
1720	C₂²⋊C₄	—	61	1	no	—
1721	C₂²⋊C₄	—	61	1	no	—
1722	C₂²⋊C₄	—	61	1	no	—
1723	C₂²⋊C₄	—	61	1	no	—
1724	C₂²⋊C₄	—	61	1	no	—
1725	C₂²⋊C₄	—	61	1	no	—
1726	C₂²⋊C₄	—	61	1	no	—
1727	C₂²⋊C₄	—	61	1	no	—
1728	C₂²⋊C₄	—	61	1	no	—
1729	C₂²⋊C₄	—	61	1	no	—
1730	C₂²⋊C₄	—	122	2	no	—
1731	C₂²⋊C₄	—	122	2	no	—
1732	C₂²⋊C₄	—	122	2	no	—
1733	C₂²⋊C₄	—	122	2	no	—
1734	C₂²⋊C₄	—	122	2	no	—
1735	C₂²⋊C₄	—	122	2	no	—
1736	C₂²⋊C₄	—	122	2	no	—
1737	C₂²⋊C₄	—	122	2	no	—
1738	C₂²⋊C₄	—	244	1	no	—
1739	C₂²⋊C₄	—	244	1	no	—
1740	C₂²⋊C₄	—	244	1	no	—
1741	C₂²⋊C₄	—	244	1	no	—
1742	C₂²⋊C₄	—	244	1	no	—
1743	C₂²⋊C₄	—	244	1	no	—
1744	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1745	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1746	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1747	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1748	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1749	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1750	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1751	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1752	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1753	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1754	C₄²	—	61	1	no	—
1755	C₄²	—	61	1	no	—
1756	C₄²	—	61	1	no	—
1757	C₄²	—	61	1	no	—
1758	C₄²	—	61	1	no	—
1759	C₄²	—	61	1	no	—
1760	C₄²	—	122	2	no	—
1761	C₄²	—	122	2	no	—
1762	C₄²	—	122	2	no	—
1763	C₄²	—	122	2	no	—
1764	C₄²	—	122	2	no	—
1765	C₄²	—	122	2	no	—
1766	C₄²	—	122	2	no	—
1767	C₄²	—	122	2	no	—
1768	C₄²	—	122	2	no	—
1769	C₄²	—	122	2	no	—
1770	C₄²	—	122	2	no	—
1771	C₄²	—	122	2	no	—
1772	C₄²	—	244	1	no	—
1773	C₄²	—	244	1	no	—
1774	C₄²	—	244	1	no	—
1775	C₄²	—	244	1	no	—
1776	C₄²	—	244	1	no	—
1777	C₄²	—	244	1	no	—
1778	C₄²	—	244	1	no	—
1779	C₄²	—	244	1	no	—
1780	C₄²	—	244	1	no	—
1781	C₄²	—	244	1	no	—
1782	C₄²	—	244	1	no	—
1783	C₄²	—	244	1	no	—
1784	C₄²	—	244	1	no	—
1785	C₄²	—	244	1	no	—
1786	C₄²	—	244	1	no	—
1787	C₄²	—	244	1	no	—
1788	C₄²	C₂²×#6923	1	1	yes	characteristic
1789	C₄²	C₂²×#6923	1	1	yes	characteristic
1790	C₂³	—	61	1	no	—
1791	C₂³	—	61	2	no	—
1792	C₂³	—	61	2	no	—
1793	C₂³	—	61	1	no	—
1794	C₂³	—	61	1	no	—
1795	C₂³	—	61	1	no	—
1796	C₂³	—	122	1	no	—
1797	C₂³	—	122	1	no	—
1798	C₂³	—	122	1	no	—
1799	C₂³	—	122	1	no	—
1800	C₂³	—	122	1	no	—
1801	C₂³	—	122	1	no	—
1802	C₂³	—	122	1	no	—
1803	C₂³	—	122	1	no	—
1804	C₂³	—	122	1	no	—
1805	C₂³	—	122	1	no	—
1806	C₂³	—	122	1	no	—
1807	C₂³	—	122	1	no	—
1808	C₂³	—	122	1	no	—
1809	C₂³	—	122	1	no	—
1810	C₂³	—	122	1	no	—
1811	C₂³	—	122	1	no	—
1812	C₂³	C₂³×#6923	1	1	yes	characteristic
1813	C₂³	C₂³×#6923	1	1	yes	characteristic
1814	C₂³	C₂³×#6923	1	1	yes	characteristic
1815	Q₈	—	4	1	no	—
1816	Q₈	—	244	1	no	—
1817	Q₈	—	244	1	no	—
1818	Q₈	—	244	1	no	—
1819	D₄	—	2	2	no	—
1820	D₄	—	2	2	no	—
1821	D₄	—	4	1	no	—
1822	D₄	—	122	2	no	—
1823	D₄	—	122	2	no	—
1824	D₄	—	122	2	no	—
1825	D₄	—	122	2	no	—
1826	D₄	—	122	2	no	—
1827	D₄	—	122	2	no	—
1828	D₄	—	244	1	no	—
1829	D₄	—	244	1	no	—
1830	D₄	—	244	1	no	—
1831	C₂×C₄	—	2	2	no	—
1832	C₂×C₄	—	4	1	no	—
1833	C₂×C₄	—	4	1	no	—
1834	C₂×C₄	—	4	1	no	—
1835	C₂×C₄	—	4	1	no	—
1836	C₂×C₄	—	61	2	no	—
1837	C₂×C₄	—	61	2	no	—
1838	C₂×C₄	—	61	2	no	—
1839	C₂×C₄	—	61	2	no	—
1840	C₂×C₄	—	61	2	no	—
1841	C₂×C₄	—	61	2	no	—
1842	C₂×C₄	—	61	1	no	—
1843	C₂×C₄	—	61	1	no	—
1844	C₂×C₄	—	61	1	no	—
1845	C₂×C₄	—	61	1	no	—
1846	C₂×C₄	—	61	1	no	—
1847	C₂×C₄	—	61	1	no	—
1848	C₂×C₄	—	61	1	no	—
1849	C₂×C₄	—	61	1	no	—
1850	C₂×C₄	—	61	1	no	—
1851	C₂×C₄	—	61	1	no	—
1852	C₂×C₄	—	61	1	no	—
1853	C₂×C₄	—	61	1	no	—
1854	C₂×C₄	—	122	1	no	—
1855	C₂×C₄	—	122	1	no	—
1856	C₂×C₄	—	122	1	no	—
1857	C₂×C₄	—	122	1	no	—
1858	C₂×C₄	—	122	1	no	—
1859	C₂×C₄	—	122	1	no	—
1860	C₂×C₄	—	122	1	no	—
1861	C₂×C₄	—	122	1	no	—
1862	C₂×C₄	—	122	1	no	—
1863	C₂×C₄	—	122	1	no	—
1864	C₂×C₄	—	122	1	no	—
1865	C₂×C₄	—	122	1	no	—
1866	C₂×C₄	—	122	1	no	—
1867	C₂×C₄	—	122	1	no	—
1868	C₂×C₄	—	122	1	no	—
1869	C₂×C₄	—	122	1	no	—
1870	C₂×C₄	—	122	1	no	—
1871	C₂×C₄	—	122	1	no	—
1872	C₂×C₄	—	122	1	no	—
1873	C₂×C₄	—	122	1	no	—
1874	C₂×C₄	—	122	1	no	—
1875	C₂×C₄	—	122	1	no	—
1876	C₂×C₄	—	122	1	no	—
1877	C₂×C₄	—	122	1	no	—
1878	C₂×C₄	—	122	2	no	—
1879	C₂×C₄	—	122	2	no	—
1880	C₂×C₄	—	122	1	no	—
1881	C₂×C₄	—	122	1	no	—
1882	C₂×C₄	—	122	1	no	—
1883	C₂×C₄	—	122	1	no	—
1884	C₂×C₄	—	122	1	no	—
1885	C₂×C₄	—	122	1	no	—
1886	C₂×C₄	—	122	1	no	—
1887	C₂×C₄	—	122	1	no	—
1888	C₂×C₄	—	122	1	no	—
1889	C₂×C₄	—	122	1	no	—
1890	C₂×C₄	—	122	1	no	—
1891	C₂×C₄	—	122	1	no	—
1892	C₂×C₄	—	122	2	no	—
1893	C₂×C₄	—	122	1	no	—
1894	C₂×C₄	—	122	1	no	—
1895	C₂×C₄	—	122	1	no	—
1896	C₂×C₄	—	122	1	no	—
1897	C₂×C₄	—	122	1	no	—
1898	C₂×C₄	—	122	1	no	—
1899	C₂×C₄	—	122	1	no	—
1900	C₂×C₄	—	122	1	no	—
1901	C₂×C₄	—	122	1	no	—
1902	C₂×C₄	—	122	1	no	—
1903	C₂×C₄	—	122	1	no	—
1904	C₂×C₄	—	122	1	no	—
1905	C₂×C₄	—	122	1	no	—
1906	C₂×C₄	—	122	1	no	—
1907	C₂×C₄	—	122	1	no	—
1908	C₂×C₄	—	122	1	no	—
1909	C₂×C₄	—	122	1	no	—
1910	C₂×C₄	—	122	1	no	—
1911	C₂×C₄	—	122	1	no	—
1912	C₂×C₄	—	122	1	no	—
1913	C₂×C₄	—	122	1	no	—
1914	C₂×C₄	—	122	1	no	—
1915	C₂×C₄	—	122	1	no	—
1916	C₂×C₄	—	122	1	no	—
1917	C₂×C₄	—	122	1	no	—
1918	C₂×C₄	—	122	1	no	—
1919	C₂×C₄	—	122	1	no	—
1920	C₂×C₄	—	122	1	no	—
1921	C₂×C₄	—	122	1	no	—
1922	C₂×C₄	—	122	1	no	—
1923	C₂×C₄	—	488	2	no	—
1924	C₂×C₄	—	488	2	no	—
1925	C₂×C₄	—	488	2	no	—
1926	C₂×C₄	—	488	2	no	—
1927	C₂×C₄	—	244	1	no	—
1928	C₂×C₄	—	244	1	no	—
1929	C₂×C₄	—	244	1	no	—
1930	C₂×C₄	—	244	1	no	—
1931	C₂×C₄	—	244	1	no	—
1932	C₂×C₄	—	244	1	no	—
1933	C₂×C₄	—	244	1	no	—
1934	C₂×C₄	—	244	1	no	—
1935	C₂×C₄	—	244	1	no	—
1936	C₂×C₄	—	244	1	no	—
1937	C₂×C₄	—	244	1	no	—
1938	C₂×C₄	—	244	1	no	—
1939	C₂×C₄	—	244	4	no	—
1940	C₂×C₄	—	244	4	no	—
1941	C₂×C₄	—	244	4	no	—
1942	C₂×C₄	—	244	4	no	—
1943	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1944	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1945	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1946	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1947	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1948	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1949	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1950	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1951	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1952	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1953	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1954	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1955	C₂²	—	2	1	no	—
1956	C₂²	—	2	1	no	—
1957	C₂²	—	2	1	no	—
1958	C₂²	—	2	1	no	—
1959	C₂²	—	2	1	no	—
1960	C₂²	—	2	1	no	—
1961	C₂²	—	2	1	no	—
1962	C₂²	—	2	1	no	—
1963	C₂²	—	61	1	no	—
1964	C₂²	—	61	1	no	—
1965	C₂²	—	61	1	no	—
1966	C₂²	—	61	1	no	—
1967	C₂²	—	61	1	no	—
1968	C₂²	—	61	1	no	—
1969	C₂²	—	61	2	no	—
1970	C₂²	—	122	2	no	—
1971	C₂²	—	122	2	no	—
1972	C₂²	—	122	2	no	—
1973	C₂²	—	122	2	no	—
1974	C₂²	—	122	1	no	—
1975	C₂²	—	122	1	no	—
1976	C₂²	—	122	1	no	—
1977	C₂²	—	122	1	no	—
1978	C₂²	—	122	1	no	—
1979	C₂²	—	122	1	no	—
1980	C₂²	—	122	1	no	—
1981	C₂²	—	122	1	no	—
1982	C₂²	—	244	1	no	—
1983	C₂²	—	244	1	no	—
1984	C₂²	—	244	1	no	—
1985	C₂²	—	244	1	no	—
1986	C₂²	—	244	1	no	—
1987	C₂²	—	244	1	no	—
1988	C₂²	—	244	1	no	—
1989	C₂²	—	244	1	no	—
1990	C₂²	#41×#6923	1	2	yes	—
1991	C₂²	C₂⁴×#6923	1	1	yes	characteristic
1992	C₄	—	2	1	no	—
1993	C₄	—	2	1	no	—
1994	C₄	—	2	1	no	—
1995	C₄	—	2	1	no	—
1996	C₄	—	2	1	no	—
1997	C₄	—	2	1	no	—
1998	C₄	—	2	1	no	—
1999	C₄	—	2	1	no	—
2000	C₄	—	2	1	no	—
2001	C₄	—	2	1	no	—
2002	C₄	—	2	1	no	—
2003	C₄	—	2	1	no	—
2004	C₄	—	122	2	no	—
2005	C₄	—	122	2	no	—
2006	C₄	—	122	2	no	—
2007	C₄	—	122	2	no	—
2008	C₄	—	122	2	no	—
2009	C₄	—	122	2	no	—
2010	C₄	—	122	1	no	—
2011	C₄	—	122	1	no	—
2012	C₄	—	122	1	no	—
2013	C₄	—	122	1	no	—
2014	C₄	—	122	1	no	—
2015	C₄	—	122	1	no	—
2016	C₄	—	122	1	no	—
2017	C₄	—	122	1	no	—
2018	C₄	—	122	1	no	—
2019	C₄	—	122	1	no	—
2020	C₄	—	122	1	no	—
2021	C₄	—	122	1	no	—
2022	C₄	—	244	1	no	—
2023	C₄	—	244	1	no	—
2024	C₄	—	244	1	no	—
2025	C₄	—	244	1	no	—
2026	C₄	—	244	1	no	—
2027	C₄	—	244	1	no	—
2028	C₄	—	244	1	no	—
2029	C₄	—	244	1	no	—
2030	C₄	—	244	1	no	—
2031	C₄	—	244	1	no	—
2032	C₂	—	2	2	no	—
2033	C₂	—	4	1	no	—
2034	C₂	—	4	1	no	—
2035	C₂	—	61	1	no	—
2036	C₂	—	61	1	no	—
2037	C₂	—	61	1	no	—
2038	C₂	—	61	1	no	—
2039	C₂	—	122	2	no	—
2040	C₂	—	244	1	no	—
2041	C₂	—	244	1	no	—
2042	C₂	C₂×#41×#6923	1	1	yes	characteristic
2043	C₂	H(5,𝔽₂)×#6923	1	1	yes	characteristic
2044	C₂	2₋¹⁺⁴×#6923	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6923
commutator, socle	C₂²×C₆₁	C₂⁴×C₄
Fitting	C₆₁×#539	C₄
prime radical	#121×D₆₁	C₂²
cosocle	C₂²×D₆₁	C₂⁵
hypercenter	#539	#6923
hypocenter	C₆₁	#34282
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. #21462357	C₂	semidirect
2. #21462356	C₂	semidirect
3. #21462356	C₂	semidirect
4. #21462354	C₂	semidirect
5. #21462353	C₂	semidirect
6. #21462351	C₂	semidirect
7. #21462351	C₂	semidirect
9. #21462345	C₂	semidirect
11. #21462343	C₂	semidirect
12. #21462342	C₂	semidirect
13. #21462342	C₂	semidirect
14. #21462342	C₂	semidirect
15. #21462342	C₂	semidirect
16. #21462342	C₂	semidirect
17. #21462319	C₂	semidirect
18. #21462318	C₂	semidirect
19. #21462317	C₂	semidirect
20. #21462315	C₂	semidirect
21. #21462301	C₂	semidirect
22. #125×#6923	C₂	semidirect
23. #126×#6923	C₂	semidirect
24. C₂²⋊Q₈×#6923	C₂	semidirect
25. #123×#6923	C₂	semidirect
26. #21462273	C₂	semidirect
27. C₂×#16840711	C₂	semidirect
28. #21462258	C₂	semidirect
29. #21462257	C₂	semidirect
30. C₄×D₄×#6923	C₂	semidirect
172. #16840361	C₄	semidirect
173. #16840360	C₄	semidirect
174. #16840360	C₄	semidirect
175. #16840359	C₄	semidirect
176. #16840358	C₄	semidirect
177. #16840358	C₄	semidirect
178. #16840357	C₄	semidirect
179. #16840356	C₄	semidirect
180. #16840356	C₄	semidirect
181. #16840355	C₄	semidirect
182. #16840355	C₄	semidirect
183. #16840354	C₄	semidirect
184. #16840354	C₄	semidirect
185. #16840353	C₄	semidirect
186. #16840353	C₄	semidirect
202. C₆₁×#539	C₄	semidirect
344. #14519772	C₂×C₄	semidirect
345. #14519772	C₂×C₄	semidirect
346. #14519772	C₂×C₄	semidirect
347. #14519772	C₂×C₄	semidirect
348. #14519772	C₂×C₄	semidirect
349. #14519772	C₂×C₄	semidirect
350. #14519771	C₂×C₄	semidirect
351. #14519771	C₂×C₄	semidirect
352. #14519770	C₂×C₄	semidirect
353. #14519770	C₂×C₄	semidirect
354. #14519770	C₂×C₄	semidirect
355. #14519770	C₂×C₄	semidirect
356. #14519770	C₂×C₄	semidirect
357. #14519770	C₂×C₄	semidirect
358. #14519769	C₂×C₄	semidirect
359. #14519769	C₂×C₄	semidirect
360. #14519768	C₂×C₄	semidirect
361. #14519768	C₂×C₄	semidirect
362. #14519768	C₂×C₄	semidirect
363. #14519768	C₂×C₄	semidirect
364. #14519767	C₂×C₄	semidirect
365. #14519767	C₂×C₄	semidirect
366. #14519767	C₂×C₄	semidirect
367. #14519767	C₂×C₄	semidirect
368. #14519767	C₂×C₄	semidirect
369. #14519767	C₂×C₄	semidirect
370. #14519767	C₂×C₄	semidirect
371. #14519767	C₂×C₄	semidirect
372. #14519762	C₂×C₄	semidirect
373. #14519762	C₂×C₄	semidirect
374. #14519762	C₂×C₄	semidirect
375. #14519762	C₂×C₄	semidirect
376. #14519762	C₂×C₄	semidirect
377. #14519762	C₂×C₄	semidirect
378. #14519762	C₂×C₄	semidirect
379. #14519762	C₂×C₄	semidirect
380. #14519761	C₂×C₄	semidirect
381. #14519761	C₂×C₄	semidirect
382. #14519761	C₂×C₄	semidirect
383. #14519761	C₂×C₄	semidirect
384. #14519760	C₂×C₄	semidirect
385. #14519760	C₂×C₄	semidirect
386. #14519760	C₂×C₄	semidirect
387. #14519760	C₂×C₄	semidirect
388. #14519759	C₂×C₄	semidirect
389. #14519759	C₂×C₄	semidirect
390. #14519759	C₂×C₄	semidirect
391. #14519759	C₂×C₄	semidirect
392. #14519759	C₂×C₄	semidirect
393. #14519759	C₂×C₄	semidirect
394. #14519759	C₂×C₄	semidirect
395. #14519759	C₂×C₄	semidirect
396. #14519758	C₂×C₄	semidirect
397. #14519758	C₂×C₄	semidirect
398. #14519758	C₂×C₄	semidirect
399. #14519758	C₂×C₄	semidirect
400. #14519757	C₂×C₄	semidirect
401. #14519757	C₂×C₄	semidirect
402. #14519757	C₂×C₄	semidirect
403. #14519756	C₂×C₄	semidirect
404. #14519756	C₂×C₄	semidirect
405. #14519756	C₂×C₄	semidirect
406. #14519755	C₂×C₄	semidirect
407. #14519755	C₂×C₄	semidirect
408. #14519755	C₂×C₄	semidirect
409. #14519755	C₂×C₄	semidirect
410. #14519755	C₂×C₄	semidirect
411. #14519755	C₂×C₄	semidirect
412. #14519754	C₂×C₄	semidirect
413. #14519754	C₂×C₄	semidirect
414. #14519754	C₂×C₄	semidirect
415. #14519754	C₂×C₄	semidirect
416. #14519754	C₂×C₄	semidirect
417. #14519754	C₂×C₄	semidirect
418. #14519753	C₂×C₄	semidirect
419. #14519753	C₂×C₄	semidirect
420. #14519753	C₂×C₄	semidirect
428. C₄×D₂₄₄	C₂×C₄	semidirect
429. C₄×D₂₄₄	C₂×C₄	semidirect
430. D₄×Dic₆₁	C₂×C₄	semidirect
431. D₄×Dic₆₁	C₂×C₄	semidirect
432. #14519739	C₂×C₄	semidirect
433. #14519739	C₂×C₄	semidirect
434. C₄×C₂²⋊D₆₁	C₂×C₄	semidirect
435. C₄×C₂²⋊D₆₁	C₂×C₄	semidirect
436. C₄×C₂²⋊D₆₁	C₂×C₄	semidirect
437. C₄×C₂²⋊D₆₁	C₂×C₄	semidirect
438. #14519737	C₂×C₄	semidirect
439. #14519737	C₂×C₄	semidirect
440. #14519737	C₂×C₄	semidirect
441. #14519737	C₂×C₄	semidirect
442. C₂×C₄⋊Dic₆₁	C₂×C₄	semidirect
443. C₂×#11758196	C₂×C₄	semidirect
444. C₂×#11758196	C₂×C₄	semidirect
445. C₄⋊C₄×D₆₁	C₂×C₄	semidirect
446. C₄⋊C₄×D₆₁	C₂×C₄	semidirect
447. C₄⋊C₄×D₆₁	C₂×C₄	semidirect
448. C₄⋊C₄×D₆₁	C₂×C₄	semidirect
475. #126×C₆₁	C₂×C₄	semidirect
476. #126×C₆₁	C₂×C₄	semidirect
477. #125×C₆₁	C₂×C₄	semidirect
478. #125×C₆₁	C₂×C₄	semidirect
479. #123×C₆₁	C₂×C₄	semidirect
480. #123×C₆₁	C₂×C₄	semidirect
481. #123×C₆₁	C₂×C₄	semidirect
482. #123×C₆₁	C₂×C₄	semidirect
483. C₂²⋊Q₈×C₆₁	C₂×C₄	semidirect
484. C₂²⋊Q₈×C₆₁	C₂×C₄	semidirect
485. C₂²⋊Q₈×C₆₁	C₂×C₄	semidirect
487. C₄×D₄×C₆₁	C₂×C₄	semidirect
488. C₄×D₄×C₆₁	C₂×C₄	semidirect
489. C₂×C₄⋊C₄×C₆₁	C₂×C₄	semidirect
1069. #539	#6923	semidirect
1225. C₆₁	#34282	semidirect
1257. #126	C₂×#6923	semidirect
1258. #126	C₂×#6923	semidirect
1273. #125	C₂×#6923	semidirect
1274. #125	C₂×#6923	semidirect
1303. #123	C₂×#6923	semidirect
1304. #123	C₂×#6923	semidirect
1305. #123	C₂×#6923	semidirect
1306. #123	C₂×#6923	semidirect
1328. C₂²⋊Q₈	C₂×#6923	semidirect
1329. C₂²⋊Q₈	C₂×#6923	semidirect
1330. C₂²⋊Q₈	C₂×#6923	semidirect
1359. C₄×D₄	C₂×#6923	semidirect
1360. C₄×D₄	C₂×#6923	semidirect
1406. C₂×C₄⋊C₄	C₂×#6923	semidirect

Maximal subgroups

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

subgroup	index
#21462357	2
#21462356	2
#21462354	2
#21462353	2
#21462351	2
#21462347	2
#21462345	2
#21462344	2
#21462343	2
#21462342	2
#21462319	2
#21462318	2
#21462317	2
#21462315	2
#21462301	2
#125×#6923	2
#126×#6923	2
C₂²⋊Q₈×#6923	2
#123×#6923	2
#21462273	2
C₂×#16840711	2
#21462258	2
#21462257	2
C₄×D₄×#6923	2
#539×D₆₁	2
#34282	61