Subgroups — #30626529

Order 15616.

1894 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#21462777	C₂	1	1	yes	maximal, characteristic, complemented
2	#21462772	C₂	1	1	yes	maximal, characteristic, complemented
3	#21462768	C₂	1	1	yes	maximal, characteristic, complemented
4	#21462763	C₂	1	1	yes	maximal, characteristic, complemented
5	#21462748	C₂	1	1	yes	maximal, characteristic, complemented
6	#21462739	C₂	1	1	yes	maximal, characteristic, complemented
7	#21462707	C₂	1	1	yes	maximal, characteristic, complemented
8	#21462697	C₂	1	1	yes	maximal, characteristic, complemented
9	#21462696	C₂	1	1	yes	maximal, characteristic, complemented
10	#21462688	C₂	1	1	yes	maximal, characteristic, complemented
11	#21462687	C₂	1	1	yes	maximal, characteristic, complemented
12	#21462682	C₂	1	1	yes	maximal, characteristic, complemented
13	#21462676	C₂	1	1	yes	maximal, characteristic, complemented
14	#21462674	C₂	1	1	yes	maximal, characteristic, complemented
15	#21462671	C₂	1	1	yes	maximal, characteristic, complemented
16	#21462664	C₂	1	1	yes	maximal, characteristic, complemented
17	#21462654	C₂	1	1	yes	maximal, characteristic, complemented
18	#21462643	C₂	1	1	yes	maximal, characteristic, complemented
19	#21462638	C₂	1	1	yes	maximal, characteristic, complemented
20	#21462637	C₂	1	1	yes	maximal, characteristic, complemented
21	#21462630	C₂	1	1	yes	maximal, characteristic, complemented
22	#21462563	C₂	1	1	yes	maximal, characteristic, complemented
23	#21462559	C₂	1	1	yes	maximal, characteristic, complemented
24	#21462558	C₂	1	1	yes	maximal, characteristic, complemented
25	#21462558	C₂	1	1	yes	maximal, characteristic, complemented
26	#21462553	C₂	1	1	yes	maximal, characteristic, complemented
27	#21462550	C₂	1	1	yes	maximal, characteristic, complemented
28	#21462540	C₂	1	1	yes	maximal, characteristic, complemented
29	#21462537	C₂	1	1	yes	maximal, characteristic, complemented
30	D₆₁⋊#436	C₂	1	1	yes	maximal, characteristic, complemented
31	#21459426	C₂	1	1	yes	maximal, characteristic
32	C₂×#14519864	C₂²	1	1	yes	characteristic, complemented
33	C₂×#14519864	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11758213	C₂²	1	1	yes	characteristic, complemented
35	C₂×D₆₁⋊M₁₆	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₆₁⋊M₁₆	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₆₁⋊M₁₆	C₂²	1	1	yes	characteristic, complemented
38	#16840814	C₂²	1	1	yes	characteristic, complemented
39	#16840814	C₂²	1	1	yes	characteristic, complemented
40	#16840814	C₂²	1	1	yes	characteristic, complemented
41	#16840814	C₂²	1	1	yes	characteristic, complemented
42	#16840814	C₂²	1	1	yes	characteristic, complemented
43	#16840814	C₂²	1	1	yes	characteristic, complemented
44	#16840811	C₂²	1	1	yes	characteristic, complemented
45	#16840811	C₂²	1	1	yes	characteristic, complemented
46	#16840797	C₂²	1	1	yes	characteristic, complemented
47	#16840797	C₂²	1	1	yes	characteristic, complemented
48	#16840797	C₂²	1	1	yes	characteristic, complemented
49	#16840797	C₂²	1	1	yes	characteristic, complemented
50	#16840797	C₂²	1	1	yes	characteristic, complemented
51	#16840797	C₂²	1	1	yes	characteristic, complemented
52	#16840796	C₂²	1	1	yes	characteristic, complemented
53	#16840796	C₂²	1	1	yes	characteristic, complemented
54	#16840796	C₂²	1	1	yes	characteristic, complemented
55	#16840796	C₂²	1	1	yes	characteristic, complemented
56	#16840796	C₂²	1	1	yes	characteristic, complemented
57	#16840796	C₂²	1	1	yes	characteristic, complemented
58	#16840795	C₂²	1	1	yes	characteristic
59	#16840795	C₂²	1	1	yes	characteristic
60	#16840795	C₂²	1	1	yes	characteristic
61	#16840795	C₂²	1	1	yes	characteristic
62	#16840795	C₂²	1	1	yes	characteristic, complemented
63	#16840795	C₂²	1	1	yes	characteristic, complemented
64	#16840795	C₂²	1	1	yes	characteristic, complemented
65	#16840795	C₂²	1	1	yes	characteristic, complemented
66	#16840795	C₂²	1	1	yes	characteristic, complemented
67	#16840795	C₂²	1	1	yes	characteristic, complemented
68	#16840795	C₂²	1	1	yes	characteristic, complemented
69	#16840795	C₂²	1	1	yes	characteristic, complemented
70	#16840795	C₂²	1	1	yes	characteristic, complemented
71	#16840795	C₂²	1	1	yes	characteristic, complemented
72	#16840794	C₂²	1	1	yes	characteristic, complemented
73	#16840794	C₂²	1	1	yes	characteristic, complemented
74	#16840794	C₂²	1	1	yes	characteristic, complemented
75	#16840794	C₂²	1	1	yes	characteristic, complemented
76	#16840793	C₂²	1	1	yes	characteristic, complemented
77	#16840793	C₂²	1	1	yes	characteristic, complemented
78	#16840793	C₂²	1	1	yes	characteristic, complemented
79	#16840793	C₂²	1	1	yes	characteristic, complemented
80	#16840793	C₂²	1	1	yes	characteristic, complemented
81	#16840793	C₂²	1	1	yes	characteristic, complemented
82	#16840793	C₂²	1	1	yes	characteristic, complemented
83	#16840793	C₂²	1	1	yes	characteristic, complemented
84	#16840793	C₂²	1	1	yes	characteristic, complemented
85	#16840793	C₂²	1	1	yes	characteristic, complemented
86	#16840792	C₂²	1	1	yes	characteristic
87	#16840792	C₂²	1	1	yes	characteristic
88	#16840792	C₂²	1	1	yes	characteristic
89	#16840792	C₂²	1	1	yes	characteristic
90	#16840792	C₂²	1	1	yes	characteristic, complemented
91	#16840792	C₂²	1	1	yes	characteristic, complemented
92	#16840792	C₂²	1	1	yes	characteristic, complemented
93	#16840792	C₂²	1	1	yes	characteristic, complemented
94	#16840792	C₂²	1	1	yes	characteristic, complemented
95	#16840792	C₂²	1	1	yes	characteristic, complemented
96	#16840792	C₂²	1	1	yes	characteristic, complemented
97	#16840792	C₂²	1	1	yes	characteristic, complemented
98	#16840792	C₂²	1	1	yes	characteristic, complemented
99	#16840792	C₂²	1	1	yes	characteristic, complemented
100	#16840792	C₂²	1	1	yes	characteristic, complemented
101	#16840792	C₂²	1	1	yes	characteristic, complemented
102	#16840791	C₂²	1	1	yes	characteristic, complemented
103	#16840791	C₂²	1	1	yes	characteristic, complemented
104	#16840791	C₂²	1	1	yes	characteristic, complemented
105	#16840791	C₂²	1	1	yes	characteristic, complemented
106	#16840791	C₂²	1	1	yes	characteristic, complemented
107	#16840791	C₂²	1	1	yes	characteristic, complemented
108	#16840790	C₂²	1	1	yes	characteristic, complemented
109	#16840790	C₂²	1	1	yes	characteristic, complemented
110	#16840789	C₂²	1	1	yes	characteristic, complemented
111	#16840789	C₂²	1	1	yes	characteristic, complemented
112	#16840789	C₂²	1	1	yes	characteristic, complemented
113	#16840789	C₂²	1	1	yes	characteristic, complemented
114	#16840789	C₂²	1	1	yes	characteristic, complemented
115	#16840789	C₂²	1	1	yes	characteristic, complemented
116	#16840789	C₂²	1	1	yes	characteristic, complemented
117	#16840789	C₂²	1	1	yes	characteristic, complemented
118	#16840787	C₂²	1	1	yes	characteristic, complemented
119	#16840787	C₂²	1	1	yes	characteristic, complemented
120	#16840787	C₂²	1	1	yes	characteristic, complemented
121	#16840787	C₂²	1	1	yes	characteristic, complemented
122	#16840786	C₂²	1	1	yes	characteristic, complemented
123	#16840786	C₂²	1	1	yes	characteristic, complemented
124	#16840786	C₂²	1	1	yes	characteristic, complemented
125	#16840786	C₂²	1	1	yes	characteristic, complemented
126	#16840785	C₂²	1	1	yes	characteristic, complemented
127	#16840785	C₂²	1	1	yes	characteristic, complemented
128	#16840784	C₂²	1	1	yes	characteristic, complemented
129	#16840782	C₂²	1	1	yes	characteristic, complemented
130	#16840782	C₂²	1	1	yes	characteristic, complemented
131	#16840782	C₂²	1	1	yes	characteristic, complemented
132	#16840781	C₂²	1	1	yes	characteristic, complemented
133	#16840780	C₂²	1	1	yes	characteristic, complemented
134	#16840780	C₂²	1	1	yes	characteristic, complemented
135	#16840779	C₂²	1	1	yes	characteristic, complemented
136	#16840769	C₂²	1	1	yes	characteristic, complemented
137	#16840769	C₂²	1	1	yes	characteristic, complemented
138	#16840768	C₂²	1	1	yes	characteristic, complemented
139	#16840768	C₂²	1	1	yes	characteristic, complemented
140	#16840767	C₂²	1	1	yes	characteristic, complemented
141	#16840767	C₂²	1	1	yes	characteristic, complemented
142	#16840765	C₂²	1	1	yes	characteristic, complemented
143	C₂×#14519844	C₂²	1	1	yes	characteristic, complemented
144	D₆₁⋊(C₄⋊C₈)	C₂²	1	1	yes	characteristic, complemented
145	#16840736	C₂²	1	1	yes	characteristic, complemented
146	#16840736	C₂²	1	1	yes	characteristic, complemented
147	#16840735	C₂²	1	1	yes	characteristic, complemented
148	#16840735	C₂²	1	1	yes	characteristic, complemented
149	#16840735	C₂²	1	1	yes	characteristic, complemented
150	#16840735	C₂²	1	1	yes	characteristic, complemented
151	#16840734	C₂²	1	1	yes	characteristic, complemented
152	#16840734	C₂²	1	1	yes	characteristic, complemented
153	#16840734	C₂²	1	1	yes	characteristic, complemented
154	#16840733	C₂²	1	1	yes	characteristic, complemented
155	#16840733	C₂²	1	1	yes	characteristic, complemented
156	#16840733	C₂²	1	1	yes	characteristic, complemented
157	#16840733	C₂²	1	1	yes	characteristic, complemented
158	#16840733	C₂²	1	1	yes	characteristic, complemented
159	C₂×#14519834	C₂²	1	1	yes	characteristic, complemented
160	D₆₁⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
161	D₆₁⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
162	D₆₁⋊(C₂²⋊C₈)	C₂²	1	1	yes	characteristic, complemented
163	#16840727	C₂²	1	1	yes	characteristic, complemented
164	#16840727	C₂²	1	1	yes	characteristic, complemented
165	#16840726	C₂²	1	1	yes	characteristic, complemented
166	#16840726	C₂²	1	1	yes	characteristic, complemented
167	C₄×#11758213	C₂²	1	1	yes	characteristic, complemented
168	C₄×#11758213	C₂²	1	1	yes	characteristic, complemented
169	C₄×#11758217	C₂²	1	1	yes	characteristic, complemented
170	C₄×#11758217	C₂²	1	1	yes	characteristic, complemented
171	C₄×D₆₁⋊C₈	C₂²	1	1	yes	characteristic, complemented
172	#16840495	C₄	1	1	yes	characteristic
173	#16840468	C₄	1	1	yes	characteristic
174	#16840467	C₄	1	1	yes	characteristic
175	#16840457	C₄	1	1	yes	characteristic
176	#16840457	C₄	1	1	yes	characteristic
177	#16840456	C₄	1	1	yes	characteristic
178	#16840441	C₄	1	1	yes	characteristic
179	#16840441	C₄	1	1	yes	characteristic
180	#16840437	C₄	1	1	yes	characteristic
181	#16840437	C₄	1	1	yes	characteristic
182	#16840409	C₄	1	1	yes	characteristic
183	#16840408	C₄	1	1	yes	characteristic
184	#16840401	C₄	1	1	yes	characteristic
185	#16840401	C₄	1	1	yes	characteristic
186	#16840396	C₄	1	1	yes	characteristic
187	#16840307	C₂²	1	1	yes	characteristic
188	#16840297	C₂²	1	1	yes	characteristic
189	#16840295	C₂²	1	1	yes	characteristic
190	#16840295	C₂²	1	1	yes	characteristic
191	#16840293	C₂²	1	1	yes	characteristic
192	#16840272	C₂²	1	1	yes	characteristic
193	#16840272	C₂²	1	1	yes	characteristic
194	#16840270	C₂²	1	1	yes	characteristic
195	#16840270	C₂²	1	1	yes	characteristic
196	#16840230	C₂²	1	1	yes	characteristic
197	C₄×#11758224	C₂²	1	1	yes	characteristic
198	C₂×#14519739	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₆₁	C₂²	1	1	yes	characteristic
200	C₄×D₄×D₆₁	C₂²	1	1	yes	characteristic
201	C₄×D₄×D₆₁	C₂²	1	1	yes	characteristic
202	C₆₁×#553	C₄	1	1	yes	characteristic
203	#14519864	—	4	2	no	—
204	#14519864	—	4	2	no	—
205	C₂×#11758213	—	4	2	no	—
206	C₂×#11758213	C₂³	1	1	yes	characteristic
207	C₂×#11758213	C₂³	1	1	yes	characteristic
208	C₂×#11758213	C₂³	1	1	yes	characteristic
209	C₂×#11758213	C₂³	1	1	yes	characteristic
210	C₂×#11758213	C₂³	1	1	yes	characteristic
211	C₂×#11758213	C₂³	1	1	yes	characteristic
212	C₂×#11758213	C₂³	1	1	yes	characteristic
213	C₂×#11758213	C₂³	1	1	yes	characteristic
214	C₂×#11758213	C₂³	1	1	yes	characteristic
215	C₂×#11758213	C₂³	1	1	yes	characteristic
216	C₂×#11758213	C₂³	1	1	yes	characteristic
217	C₂×#11758213	C₂³	1	1	yes	characteristic
218	D₆₁⋊M₁₆	—	4	2	no	—
219	D₆₁⋊M₁₆	—	4	2	no	—
220	D₆₁⋊M₁₆	—	4	2	no	—
221	C₂×#11758217	C₂³	1	1	yes	characteristic
222	C₂×#11758217	C₂³	1	1	yes	characteristic
223	C₂×#11758217	C₂³	1	1	yes	characteristic
224	C₂×#11758217	C₂³	1	1	yes	characteristic
225	C₂×#11758217	C₂³	1	1	yes	characteristic
226	C₂×#11758217	C₂³	1	1	yes	characteristic
227	C₂×#11758217	C₂³	1	1	yes	characteristic
228	C₂×#11758217	C₂³	1	1	yes	characteristic
229	C₂×#11758217	C₂³	1	1	yes	characteristic
230	C₂×#11758217	C₂³	1	1	yes	characteristic
231	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
232	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
233	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
234	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
235	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
236	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
237	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
238	C₂×D₆₁⋊C₈	C₂³	1	1	yes	characteristic
239	C₂²×#92420	C₂³	1	1	yes	characteristic
240	C₂²×#92420	C₂³	1	1	yes	characteristic
241	C₂²×#92420	C₂³	1	1	yes	characteristic
242	C₂²×#92420	C₂³	1	1	yes	characteristic
243	C₂²×#92420	C₂³	1	1	yes	characteristic
244	C₂²×#92420	C₂³	1	1	yes	characteristic
245	#14519844	C₂³	1	1	yes	characteristic
246	#14519844	C₂³	1	1	yes	characteristic
247	#14519844	C₂³	1	1	yes	characteristic
248	#14519844	C₂³	1	1	yes	characteristic
249	#14519844	C₂³	1	1	yes	characteristic
250	#14519844	C₂³	1	1	yes	characteristic
251	#14519844	C₂³	1	1	yes	characteristic
252	#14519844	C₂³	1	1	yes	characteristic
253	#14519844	C₂³	1	1	yes	characteristic
254	#14519844	C₂³	1	1	yes	characteristic
255	#14519844	C₂³	1	1	yes	characteristic
256	#14519844	C₂³	1	1	yes	characteristic
257	#14519844	C₂³	1	1	yes	characteristic
258	#14519844	C₂³	1	1	yes	characteristic
259	#14519844	C₂³	1	1	yes	characteristic
260	#14519844	C₂³	1	1	yes	characteristic
261	C₄⋊#92420	C₂³	1	1	yes	characteristic
262	C₄⋊#92420	C₂³	1	1	yes	characteristic
263	C₄⋊#92420	C₂³	1	1	yes	characteristic
264	C₄⋊#92420	C₂³	1	1	yes	characteristic
265	C₄⋊#92420	C₂³	1	1	yes	characteristic
266	C₄⋊#92420	C₂³	1	1	yes	characteristic
267	C₄⋊#92420	C₂³	1	1	yes	characteristic
268	C₄⋊#92420	C₂³	1	1	yes	characteristic
269	#14519834	C₂³	1	1	yes	characteristic
270	#14519834	C₂³	1	1	yes	characteristic
271	#14519834	C₂³	1	1	yes	characteristic
272	#14519834	C₂³	1	1	yes	characteristic
273	#14519834	C₂³	1	1	yes	characteristic
274	#14519834	C₂³	1	1	yes	characteristic
275	#14519834	C₂³	1	1	yes	characteristic
276	#14519834	C₂³	1	1	yes	characteristic
277	#14519834	C₂³	1	1	yes	characteristic
278	#14519834	C₂³	1	1	yes	characteristic
279	#14519834	C₂³	1	1	yes	characteristic
280	#14519834	C₂³	1	1	yes	characteristic
281	#14519834	C₂³	1	1	yes	characteristic
282	#14519834	C₂³	1	1	yes	characteristic
283	#14519834	C₂³	1	1	yes	characteristic
284	#14519834	C₂³	1	1	yes	characteristic
285	#14519834	C₂³	1	1	yes	characteristic
286	#14519834	C₂³	1	1	yes	characteristic
287	#14519834	C₂³	1	1	yes	characteristic
288	#14519834	C₂³	1	1	yes	characteristic
289	C₂²⋊#92420	C₂³	1	1	yes	characteristic
290	C₂²⋊#92420	C₂³	1	1	yes	characteristic
291	C₂²⋊#92420	C₂³	1	1	yes	characteristic
292	C₂²⋊#92420	C₂³	1	1	yes	characteristic
293	C₂²⋊#92420	C₂³	1	1	yes	characteristic
294	C₂²⋊#92420	C₂³	1	1	yes	characteristic
295	C₂²⋊#92420	C₂³	1	1	yes	characteristic
296	C₂²⋊#92420	C₂³	1	1	yes	characteristic
297	C₂²⋊#92420	C₂³	1	1	yes	characteristic
298	C₂²⋊#92420	C₂³	1	1	yes	characteristic
299	C₂²⋊#92420	C₂³	1	1	yes	characteristic
300	C₂²⋊#92420	C₂³	1	1	yes	characteristic
301	C₂²⋊#92420	C₂³	1	1	yes	characteristic
302	C₂²⋊#92420	C₂³	1	1	yes	characteristic
303	C₂²⋊#92420	C₂³	1	1	yes	characteristic
304	C₂²⋊#92420	C₂³	1	1	yes	characteristic
305	#14519832	C₂³	1	1	yes	characteristic
306	#14519832	C₂³	1	1	yes	characteristic
307	#14519832	C₂³	1	1	yes	characteristic
308	#14519832	C₂³	1	1	yes	characteristic
309	#14519832	C₂³	1	1	yes	characteristic
310	#14519832	C₂³	1	1	yes	characteristic
311	#14519832	C₂³	1	1	yes	characteristic
312	#14519832	C₂³	1	1	yes	characteristic
313	#14519832	C₂³	1	1	yes	characteristic
314	#14519832	C₂³	1	1	yes	characteristic
315	#14519832	C₂³	1	1	yes	characteristic
316	#14519832	C₂³	1	1	yes	characteristic
317	C₄×#92420	C₂³	1	1	yes	characteristic
318	C₄×#92420	C₂³	1	1	yes	characteristic
319	C₄×#92420	C₂³	1	1	yes	characteristic
320	C₄×#92420	C₂³	1	1	yes	characteristic
321	C₄×#92420	C₂³	1	1	yes	characteristic
322	C₄×#92420	C₂³	1	1	yes	characteristic
323	C₄×#92420	C₂³	1	1	yes	characteristic
324	C₄×#92420	C₂³	1	1	yes	characteristic
325	C₄×#92420	C₂³	1	1	yes	characteristic
326	C₄×#92420	C₂³	1	1	yes	characteristic
327	C₄×#92420	C₂³	1	1	yes	characteristic
328	C₄×#92420	C₂³	1	1	yes	characteristic
329	C₂×#11758222	C₂×C₄	1	1	yes	characteristic
330	C₂×#11758224	C₂×C₄	1	1	yes	characteristic
331	C₂×#11758224	C₂³	1	1	yes	characteristic
332	C₂×#11758224	C₂³	1	1	yes	characteristic
333	C₂²×D₂₄₄	C₂×C₄	1	1	yes	characteristic
334	C₂×D₄×D₆₁	C₂×C₄	1	1	yes	characteristic
335	C₂×D₄×D₆₁	C₂×C₄	1	1	yes	characteristic
336	C₂×D₄×D₆₁	C₂×C₄	1	1	yes	characteristic
337	C₂²×C₄×D₆₁	C₂³	1	1	yes	characteristic
338	C₂²×C₄×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	#14519776	C₂×C₄	1	1	yes	characteristic
342	#14519773	C₂×C₄	1	1	yes	characteristic
343	#14519772	C₂×C₄	1	1	yes	characteristic
344	#14519772	C₂×C₄	1	1	yes	characteristic
345	#14519771	C₂×C₄	1	1	yes	characteristic
346	#14519771	C₂×C₄	1	1	yes	characteristic
347	#14519770	C₂×C₄	1	1	yes	characteristic
348	#14519770	C₂×C₄	1	1	yes	characteristic
349	#14519768	C₂×C₄	1	1	yes	characteristic
350	#14519767	C₂×C₄	1	1	yes	characteristic
351	#14519767	C₂×C₄	1	1	yes	characteristic
352	#14519765	C₂×C₄	1	1	yes	characteristic
353	#14519764	C₂×C₄	1	1	yes	characteristic
354	#14519763	C₂×C₄	1	1	yes	characteristic
355	#14519763	C₂×C₄	1	1	yes	characteristic
356	#14519763	C₂×C₄	1	1	yes	characteristic
357	#14519763	C₂×C₄	1	1	yes	characteristic
358	#14519762	C₂×C₄	1	1	yes	characteristic
359	#14519762	C₂×C₄	1	1	yes	characteristic
360	#14519762	C₂×C₄	1	1	yes	characteristic
361	#14519762	C₂×C₄	1	1	yes	characteristic
362	#14519760	C₂×C₄	1	1	yes	characteristic
363	#14519760	C₂×C₄	1	1	yes	characteristic
364	#14519759	C₂×C₄	1	1	yes	characteristic
365	#14519759	C₂×C₄	1	1	yes	characteristic
366	#14519759	C₂×C₄	1	1	yes	characteristic
367	#14519759	C₂×C₄	1	1	yes	characteristic
368	#14519759	C₂×C₄	1	1	yes	characteristic
369	#14519759	C₂×C₄	1	1	yes	characteristic
370	#14519758	C₂×C₄	1	1	yes	characteristic
371	#14519758	C₂×C₄	1	1	yes	characteristic
372	#14519757	C₂×C₄	1	1	yes	characteristic
373	#14519757	C₂×C₄	1	1	yes	characteristic
374	#14519757	C₂×C₄	1	1	yes	characteristic
375	#14519756	C₂×C₄	1	1	yes	characteristic
376	#14519756	C₂×C₄	1	1	yes	characteristic
377	#14519756	C₂×C₄	1	1	yes	characteristic
378	#14519755	C₂×C₄	1	1	yes	characteristic
379	#14519755	C₂×C₄	1	1	yes	characteristic
380	#14519755	C₂×C₄	1	1	yes	characteristic
381	#14519755	C₂×C₄	1	1	yes	characteristic
382	#14519755	C₂×C₄	1	1	yes	characteristic
383	#14519755	C₂×C₄	1	1	yes	characteristic
384	#14519752	C₂×C₄	1	1	yes	characteristic
385	#14519751	C₂×C₄	1	1	yes	characteristic
386	#14519750	C₂×C₄	1	1	yes	characteristic
387	#14519750	C₂×C₄	1	1	yes	characteristic
388	#14519750	C₂×C₄	1	1	yes	characteristic
389	#14519750	C₂×C₄	1	1	yes	characteristic
390	#14519750	C₂×C₄	1	1	yes	characteristic
391	#14519750	C₂×C₄	1	1	yes	characteristic
392	#14519749	C₂×C₄	1	1	yes	characteristic
393	#14519749	C₂×C₄	1	1	yes	characteristic
394	#14519748	C₂×C₄	1	1	yes	characteristic
395	#14519748	C₂×C₄	1	1	yes	characteristic
396	#14519747	C₂×C₄	1	1	yes	characteristic
397	#14519747	C₂×C₄	1	1	yes	characteristic
398	#14519745	C₂×C₄	1	1	yes	characteristic
399	#14519745	C₂×C₄	1	1	yes	characteristic
400	#14519745	C₂×C₄	1	1	yes	characteristic
401	#14519745	C₂×C₄	1	1	yes	characteristic
402	#14519745	C₂×C₄	1	1	yes	characteristic
403	#14519745	C₂×C₄	1	1	yes	characteristic
404	C₄×Dic₁₂₂	C₂×C₄	1	1	yes	characteristic
405	#14519742	C₂×C₄	1	1	yes	characteristic
406	#14519742	C₂³	1	1	yes	characteristic
407	#14519742	C₂³	1	1	yes	characteristic
408	C₄×D₂₄₄	C₂×C₄	1	1	yes	characteristic
409	C₄×D₂₄₄	C₂×C₄	1	1	yes	characteristic
410	C₄×D₂₄₄	C₂×C₄	1	1	yes	characteristic
411	D₄×Dic₆₁	C₂³	1	1	yes	characteristic
412	D₄×Dic₆₁	C₂³	1	1	yes	characteristic
413	D₄×Dic₆₁	C₂³	1	1	yes	characteristic
414	D₄×Dic₆₁	C₂³	1	1	yes	characteristic
415	#14519739	C₂×C₄	1	1	yes	characteristic
416	#14519739	C₂×C₄	1	1	yes	characteristic
417	#14519739	C₂×C₄	1	1	yes	characteristic
418	#14519739	C₂×C₄	1	1	yes	characteristic
419	#14519739	C₂×C₄	1	1	yes	characteristic
420	#14519739	C₂³	1	1	yes	characteristic
421	#14519739	C₂³	1	1	yes	characteristic
422	#14519739	C₂³	1	1	yes	characteristic
423	#14519739	C₂³	1	1	yes	characteristic
424	#14519739	C₂³	1	1	yes	characteristic
425	#14519739	C₂³	1	1	yes	characteristic
426	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
427	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
428	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
429	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
430	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
431	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
432	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
433	C₄×C₂²⋊D₆₁	C₂×C₄	1	1	yes	characteristic
434	#14519737	C₂×C₄	1	1	yes	characteristic
435	#14519737	C₂×C₄	1	1	yes	characteristic
436	#14519737	C₂³	1	1	yes	characteristic
437	#14519737	C₂³	1	1	yes	characteristic
438	#14519737	C₂³	1	1	yes	characteristic
439	#14519737	C₂³	1	1	yes	characteristic
440	#14519737	C₂³	1	1	yes	characteristic
441	#14519737	C₂³	1	1	yes	characteristic
442	#14519737	C₂³	1	1	yes	characteristic
443	#14519737	C₂³	1	1	yes	characteristic
444	#14519735	C₂×C₄	1	1	yes	characteristic
445	#14519735	C₂³	1	1	yes	characteristic
446	#14519735	C₂³	1	1	yes	characteristic
447	#14519734	C₂×C₄	1	1	yes	characteristic
448	#14519734	C₂×C₄	1	1	yes	characteristic
449	#14519733	C₂×C₄	1	1	yes	characteristic
450	#14519733	C₂×C₄	1	1	yes	characteristic
451	#14519733	C₂³	1	1	yes	characteristic
452	#14519733	C₂³	1	1	yes	characteristic
453	C₄⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
454	C₄⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
455	C₄⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
456	C₂×#11758198	C₂×C₄	1	1	yes	characteristic
457	C₂×#11758198	C₂×C₄	1	1	yes	characteristic
458	C₂²⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
459	C₂²⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
460	C₂²⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
461	C₂²⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
462	C₂²⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
463	C₂²⋊C₄×D₆₁	C₂×C₄	1	1	yes	characteristic
464	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
465	C₂×C₄×Dic₆₁	C₂³	1	1	yes	characteristic
466	C₄²×D₆₁	C₂³	1	1	yes	characteristic
467	C₄²×D₆₁	C₂³	1	1	yes	characteristic
468	C₄²×D₆₁	C₂³	1	1	yes	characteristic
469	#126×C₆₁	C₂×C₄	1	1	yes	characteristic
470	#126×C₆₁	C₂×C₄	1	1	yes	characteristic
471	#125×C₆₁	C₂×C₄	1	1	yes	characteristic
472	#123×C₆₁	C₂×C₄	1	1	yes	characteristic
473	#123×C₆₁	C₂×C₄	1	1	yes	characteristic
474	#121×C₆₁	C₂×C₄	1	1	yes	characteristic
475	#121×C₆₁	C₂×C₄	1	1	yes	characteristic
476	#121×C₆₁	C₂×C₄	1	1	yes	characteristic
477	#121×C₆₁	C₂×C₄	1	1	yes	characteristic
478	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic
479	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic
480	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic
481	C₄×D₄×C₆₁	C₂×C₄	1	1	yes	characteristic
482	#117×C₆₁	C₂×C₄	1	1	yes	characteristic
483	C₂×C₄⋊C₄×C₆₁	C₂×C₄	1	1	yes	characteristic
484	C₂³×D₆₁	C₂²×C₄	1	1	yes	characteristic
485	C₂³×D₆₁	C₂²×C₄	1	1	yes	characteristic
486	C₂³×D₆₁	C₂²×C₄	1	1	yes	characteristic
487	C₂³×D₆₁	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
490	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
491	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
492	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
493	C₂×D₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
494	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
495	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
496	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
497	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
498	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
499	C₂²×C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
500	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
509	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
510	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
511	C₂×C₂²⋊D₆₁	C₂²×C₄	1	1	yes	characteristic
512	C₂²×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
513	C₂²×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
514	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
515	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
516	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
517	C₂²×Dic₆₁	C₂⁴	1	1	yes	characteristic
518	#11758224	—	4	2	no	—
519	#11758224	—	4	1	no	—
520	#11758224	—	4	1	no	—
521	#11758224	—	4	1	no	—
522	#11758224	—	4	1	no	—
523	D₄×D₆₁	—	4	2	no	—
524	D₄×D₆₁	—	4	2	no	—
525	D₄×D₆₁	—	4	2	no	—
526	#11758222	—	4	2	no	—
527	C₂×D₂₄₄	—	4	2	no	—
528	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
529	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
530	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
531	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
532	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
533	C₂×D₂₄₄	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₆₁	—	4	1	no	—
535	C₂×C₄×D₆₁	—	4	1	no	—
536	C₂×C₄×D₆₁	—	4	1	no	—
537	C₂×C₄×D₆₁	—	4	1	no	—
538	C₂×C₄×D₆₁	—	4	1	no	—
539	C₂×C₄×D₆₁	—	4	1	no	—
540	C₂×C₄×D₆₁	—	4	1	no	—
541	C₂×C₄×D₆₁	—	4	1	no	—
542	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₄×D₆₁	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
560	C₂×C₄×D₆₁	C₂⁴	1	1	yes	characteristic
561	C₂×Dic₁₂₂	C₂²×C₄	1	1	yes	characteristic
562	C₂×Dic₁₂₂	C₂²×C₄	1	1	yes	characteristic
563	C₂×Dic₁₂₂	C₂²×C₄	1	1	yes	characteristic
564	C₂×Dic₁₂₂	C₂²×C₄	1	1	yes	characteristic
565	#11758217	—	2	2	no	—
566	#11758217	—	2	2	no	—
567	#11758217	—	2	2	no	—
568	#11758217	—	4	1	no	—
569	#11758217	—	4	1	no	—
570	#11758217	—	4	1	no	—
571	#11758217	—	4	1	no	—
572	#11758217	—	4	1	no	—
573	#11758217	—	4	1	no	—
574	#11758217	—	4	1	no	—
575	C₂×#92420	—	2	2	no	—
576	C₂×#92420	—	4	1	no	—
577	C₂×#92420	—	4	1	no	—
578	C₂×#92420	—	4	1	no	—
579	C₂×#92420	—	4	1	no	—
580	C₂×#92420	—	4	1	no	—
581	C₂×#92420	C₂⁴	1	1	yes	characteristic
582	C₂×#92420	C₂⁴	1	1	yes	characteristic
583	C₂×#92420	C₂⁴	1	1	yes	characteristic
584	C₂×#92420	C₂⁴	1	1	yes	characteristic
585	C₂×#92420	C₂⁴	1	1	yes	characteristic
586	C₂×#92420	C₂⁴	1	1	yes	characteristic
587	C₂×#92420	C₂⁴	1	1	yes	characteristic
588	C₂×#92420	C₂⁴	1	1	yes	characteristic
589	C₂×#92420	C₂⁴	1	1	yes	characteristic
590	C₂×#92420	C₂⁴	1	1	yes	characteristic
591	C₂×#92420	C₂⁴	1	1	yes	characteristic
592	C₂×#92420	C₂⁴	1	1	yes	characteristic
593	C₂×#92420	C₂⁴	1	1	yes	characteristic
594	C₂×#92420	C₂⁴	1	1	yes	characteristic
595	C₂×#92420	C₂⁴	1	1	yes	characteristic
596	C₂×#92420	C₂⁴	1	1	yes	characteristic
597	#11758213	—	2	2	no	—
598	#11758213	—	2	2	no	—
599	#11758213	—	2	2	no	—
600	#11758213	—	4	1	no	—
601	#11758213	—	4	1	no	—
602	#11758213	—	4	1	no	—
603	#11758213	—	4	1	no	—
604	#11758213	—	4	1	no	—
605	#11758213	—	4	1	no	—
606	#11758213	—	4	1	no	—
607	#11758213	—	4	1	no	—
608	#11758213	—	4	1	no	—
609	D₆₁⋊C₈	—	2	2	no	—
610	D₆₁⋊C₈	—	2	2	no	—
611	D₆₁⋊C₈	—	4	1	no	—
612	D₆₁⋊C₈	—	4	1	no	—
613	D₆₁⋊C₈	—	4	1	no	—
614	D₆₁⋊C₈	—	4	1	no	—
615	D₆₁⋊C₈	—	4	1	no	—
616	D₆₁⋊C₈	—	4	1	no	—
617	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
622	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
623	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
624	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
625	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
626	C₄⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
628	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
629	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
630	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
631	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
632	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
633	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
634	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
635	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
636	C₂²⋊C₄×C₆₁	C₂²×C₄	1	1	yes	characteristic
637	C₄²×C₆₁	C₂²×C₄	1	1	yes	characteristic
638	C₄²×C₆₁	C₂²×C₄	1	1	yes	characteristic
639	C₄²×C₆₁	C₂²×C₄	1	1	yes	characteristic
640	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
641	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
642	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
643	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
644	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
645	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
646	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
647	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
648	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
649	C₂²⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
650	#11758198	C₂²×C₄	1	1	yes	characteristic
651	#11758198	C₂²×C₄	1	1	yes	characteristic
652	#11758198	C₂²×C₄	1	1	yes	characteristic
653	#11758198	C₂²×C₄	1	1	yes	characteristic
654	#11758198	C₂²×C₄	1	1	yes	characteristic
655	#11758198	C₂²×C₄	1	1	yes	characteristic
656	#11758198	C₂²×C₄	1	1	yes	characteristic
657	#11758198	C₂²×C₄	1	1	yes	characteristic
658	#11758198	C₂²×C₄	1	1	yes	characteristic
659	#11758198	C₂²×C₄	1	1	yes	characteristic
660	#11758198	C₂²×C₄	1	1	yes	characteristic
661	#11758198	C₂²×C₄	1	1	yes	characteristic
662	#11758198	C₂²×C₄	1	1	yes	characteristic
663	#11758198	C₂²×C₄	1	1	yes	characteristic
664	#11758198	C₂²×C₄	1	1	yes	characteristic
665	#11758198	C₂²×C₄	1	1	yes	characteristic
666	#11758198	C₂²×C₄	1	1	yes	characteristic
667	#11758198	C₂²×C₄	1	1	yes	characteristic
668	#11758198	C₂²×C₄	1	1	yes	characteristic
669	#11758198	C₂²×C₄	1	1	yes	characteristic
670	#11758198	C₂²×C₄	1	1	yes	characteristic
671	#11758198	C₂²×C₄	1	1	yes	characteristic
672	#11758198	C₂²×C₄	1	1	yes	characteristic
673	#11758198	C₂²×C₄	1	1	yes	characteristic
674	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
675	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
676	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
677	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
678	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
679	C₄⋊Dic₆₁	C₂²×C₄	1	1	yes	characteristic
680	#11758196	C₂²×C₄	1	1	yes	characteristic
681	#11758196	C₂²×C₄	1	1	yes	characteristic
682	#11758196	C₂²×C₄	1	1	yes	characteristic
683	#11758196	C₂²×C₄	1	1	yes	characteristic
684	#11758196	C₂²×C₄	1	1	yes	characteristic
685	#11758196	C₂²×C₄	1	1	yes	characteristic
686	#11758196	C₂²×C₄	1	1	yes	characteristic
687	#11758196	C₂²×C₄	1	1	yes	characteristic
688	#11758196	C₂²×C₄	1	1	yes	characteristic
689	#11758196	C₂²×C₄	1	1	yes	characteristic
690	#11758196	C₂²×C₄	1	1	yes	characteristic
691	#11758196	C₂²×C₄	1	1	yes	characteristic
692	#11758196	C₂²×C₄	1	1	yes	characteristic
693	#11758196	C₂²×C₄	1	1	yes	characteristic
694	#11758196	C₂²×C₄	1	1	yes	characteristic
695	#11758196	C₂²×C₄	1	1	yes	characteristic
696	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
697	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
698	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
699	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
700	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
701	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
702	C₄×Dic₆₁	C₂²×C₄	1	1	yes	characteristic
703	C₄×Dic₆₁	C₂⁴	1	1	yes	characteristic
704	C₄×Dic₆₁	C₂⁴	1	1	yes	characteristic
705	C₄×Dic₆₁	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₆₁	C₂⁴	1	1	yes	characteristic
707	C₄×Dic₆₁	C₂⁴	1	1	yes	characteristic
708	C₄×Dic₆₁	C₂⁴	1	1	yes	characteristic
709	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
710	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
711	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
712	C₂³×C₆₁	C₂³×C₄	1	1	yes	characteristic
713	C₂²×D₆₁	—	2	2	no	—
714	C₂²×D₆₁	—	2	2	no	—
715	C₂²×D₆₁	—	4	1	no	—
716	C₂²×D₆₁	—	4	1	no	—
717	C₂²×D₆₁	—	4	1	no	—
718	C₂²×D₆₁	—	4	1	no	—
719	C₂²×D₆₁	—	4	1	no	—
720	C₂²×D₆₁	—	4	1	no	—
721	C₂²×D₆₁	—	4	1	no	—
722	C₂²×D₆₁	—	4	1	no	—
723	C₂²×D₆₁	—	4	1	no	—
724	C₂²×D₆₁	—	4	1	no	—
725	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
726	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
727	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
728	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
729	C₂²×D₆₁	C₂³×C₄	1	1	yes	characteristic
730	D₄×C₆₁	—	4	1	no	—
731	D₄×C₆₁	—	4	1	no	—
732	D₄×C₆₁	—	4	1	no	—
733	D₄×C₆₁	—	4	1	no	—
734	D₄×C₆₁	—	4	1	no	—
735	D₄×C₆₁	—	4	1	no	—
736	C₂×C₄×C₆₁	—	4	1	no	—
737	C₂×C₄×C₆₁	—	4	1	no	—
738	C₂×C₄×C₆₁	—	4	1	no	—
739	C₂×C₄×C₆₁	—	4	1	no	—
740	C₂×C₄×C₆₁	—	4	1	no	—
741	C₂×C₄×C₆₁	—	4	1	no	—
742	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
743	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
744	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
745	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
746	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
747	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
748	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
749	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
750	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
751	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
752	C₂×C₄×C₆₁	C₂³×C₄	1	1	yes	characteristic
753	C₂²⋊D₆₁	—	2	2	no	—
754	C₂²⋊D₆₁	—	2	2	no	—
755	C₂²⋊D₆₁	—	2	2	no	—
756	C₂²⋊D₆₁	—	2	2	no	—
757	C₂²⋊D₆₁	—	2	2	no	—
758	C₂²⋊D₆₁	—	4	1	no	—
759	C₂²⋊D₆₁	—	4	1	no	—
760	C₂²⋊D₆₁	—	4	1	no	—
761	C₂²⋊D₆₁	—	4	1	no	—
762	C₂²⋊D₆₁	—	4	1	no	—
763	C₂²⋊D₆₁	—	4	1	no	—
764	C₂²⋊D₆₁	—	4	1	no	—
765	C₂×Dic₆₁	—	2	2	no	—
766	C₂×Dic₆₁	—	2	1	no	—
767	C₂×Dic₆₁	—	2	1	no	—
768	C₂×Dic₆₁	—	2	1	no	—
769	C₂×Dic₆₁	—	2	1	no	—
770	C₂×Dic₆₁	—	2	1	no	—
771	C₂×Dic₆₁	—	2	1	no	—
772	C₂×Dic₆₁	—	2	1	no	—
773	C₂×Dic₆₁	—	2	1	no	—
774	C₂×Dic₆₁	—	4	1	no	—
775	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
776	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
777	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
778	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
779	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
780	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
781	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
782	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
783	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
784	C₂×Dic₆₁	C₂³×C₄	1	1	yes	characteristic
785	C₂×Dic₆₁	C₂⁵	1	1	yes	characteristic
786	D₂₄₄	—	2	2	no	—
787	D₂₄₄	—	2	2	no	—
788	D₂₄₄	—	4	1	no	—
789	D₂₄₄	—	4	1	no	—
790	D₂₄₄	—	4	1	no	—
791	D₂₄₄	—	4	1	no	—
792	C₄×D₆₁	—	2	2	no	—
793	C₄×D₆₁	—	2	2	no	—
794	C₄×D₆₁	—	2	2	no	—
795	C₄×D₆₁	—	2	1	no	—
796	C₄×D₆₁	—	2	1	no	—
797	C₄×D₆₁	—	2	1	no	—
798	C₄×D₆₁	—	2	1	no	—
799	C₄×D₆₁	—	2	1	no	—
800	C₄×D₆₁	—	2	1	no	—
801	C₄×D₆₁	—	2	1	no	—
802	C₄×D₆₁	—	2	1	no	—
803	C₄×D₆₁	—	2	1	no	—
804	C₄×D₆₁	—	2	1	no	—
805	C₄×D₆₁	—	4	1	no	—
806	C₄×D₆₁	—	4	1	no	—
807	C₄×D₆₁	—	4	1	no	—
808	C₄×D₆₁	—	4	1	no	—
809	C₄×D₆₁	—	4	1	no	—
810	C₄×D₆₁	—	4	1	no	—
811	C₄×D₆₁	—	4	1	no	—
812	C₄×D₆₁	—	4	1	no	—
813	C₄×D₆₁	—	4	1	no	—
814	C₄×D₆₁	—	4	1	no	—
815	C₄×D₆₁	—	4	1	no	—
816	Dic₁₂₂	—	2	2	no	—
817	Dic₁₂₂	—	4	1	no	—
818	Dic₁₂₂	—	4	1	no	—
819	Dic₁₂₂	—	4	1	no	—
820	#92420	—	2	1	no	—
821	#92420	—	2	1	no	—
822	#92420	—	2	1	no	—
823	#92420	—	2	1	no	—
824	#92420	—	2	1	no	—
825	#92420	—	2	1	no	—
826	#92420	—	2	1	no	—
827	#92420	—	2	1	no	—
828	#92420	—	2	1	no	—
829	#92420	—	2	1	no	—
830	#92420	—	2	1	no	—
831	#92420	—	2	1	no	—
832	#92420	—	2	1	no	—
833	#92420	—	2	1	no	—
834	#92420	—	2	1	no	—
835	#92420	H(5,𝔽₂)	1	2	yes	—
836	#60324	—	61	1	no	maximal, Sylow
837	C₂²×C₆₁	—	2	1	no	—
838	C₂²×C₆₁	—	2	1	no	—
839	C₂²×C₆₁	—	2	1	no	—
840	C₂²×C₆₁	—	2	1	no	—
841	C₂²×C₆₁	—	2	1	no	—
842	C₂²×C₆₁	—	2	1	no	—
843	C₂²×C₆₁	—	2	1	no	—
844	C₂²×C₆₁	—	2	1	no	—
845	C₂²×C₆₁	—	2	1	no	—
846	C₂²×C₆₁	—	2	1	no	—
847	C₂²×C₆₁	—	2	1	no	—
848	C₂²×C₆₁	—	2	1	no	—
849	C₂²×C₆₁	C₂⁴×C₄	1	1	yes	characteristic
850	C₂×D₆₁	—	2	1	no	—
851	C₂×D₆₁	—	2	1	no	—
852	C₂×D₆₁	—	2	1	no	—
853	C₂×D₆₁	—	2	1	no	—
854	C₂×D₆₁	—	2	1	no	—
855	C₂×D₆₁	—	2	1	no	—
856	C₂×D₆₁	—	2	1	no	—
857	C₂×D₆₁	—	2	1	no	—
858	C₂×D₆₁	—	2	1	no	—
859	C₂×D₆₁	—	2	1	no	—
860	C₂×D₆₁	—	2	1	no	—
861	C₂×D₆₁	—	2	1	no	—
862	C₂×D₆₁	—	2	1	no	—
863	C₂×D₆₁	—	2	1	no	—
864	C₂×D₆₁	—	8	2	no	—
865	C₂×D₆₁	—	8	2	no	—
866	C₂×D₆₁	—	8	2	no	—
867	C₂×D₆₁	—	8	2	no	—
868	C₂×D₆₁	#568	1	2	yes	—
869	C₄×C₆₁	—	2	1	no	—
870	C₄×C₆₁	—	2	1	no	—
871	C₄×C₆₁	—	2	1	no	—
872	C₄×C₆₁	—	2	1	no	—
873	C₄×C₆₁	—	2	1	no	—
874	C₄×C₆₁	—	2	1	no	—
875	C₄×C₆₁	—	2	1	no	—
876	C₄×C₆₁	—	2	1	no	—
877	C₄×C₆₁	—	2	1	no	—
878	C₄×C₆₁	—	2	1	no	—
879	C₄×C₆₁	—	2	1	no	—
880	Dic₆₁	—	2	1	no	—
881	Dic₆₁	—	2	1	no	—
882	Dic₆₁	—	2	1	no	—
883	Dic₆₁	—	2	1	no	—
884	Dic₆₁	—	2	1	no	—
885	Dic₆₁	—	2	1	no	—
886	Dic₆₁	—	2	1	no	—
887	Dic₆₁	—	2	1	no	—
888	Dic₆₁	—	2	1	no	—
889	Dic₆₁	#568	1	2	yes	—
890	Dic₆₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
891	Dic₆₁	#585	1	1	yes	characteristic
892	#3481	—	61	1	no	—
893	#2995	—	61	1	no	—
894	#2995	—	61	1	no	—
895	#2994	—	61	1	no	—
896	#2993	—	61	1	no	—
897	#2990	—	61	1	no	—
898	#2989	—	61	1	no	—
899	#2981	—	61	1	no	—
900	#2978	—	61	1	no	—
901	#2978	—	61	1	no	—
902	#2976	—	61	1	no	—
903	#2976	—	61	1	no	—
904	#2975	—	61	1	no	—
905	#2974	—	61	1	no	—
906	#2973	—	61	1	no	—
907	#2973	—	61	1	no	—
908	#2971	—	61	1	no	—
909	#2969	—	61	1	no	—
910	#2967	—	61	1	no	—
911	#2967	—	61	1	no	—
912	#2966	—	61	1	no	—
913	#2965	—	61	1	no	—
914	#2935	—	61	1	no	—
915	D₄×M₁₆	—	61	1	no	—
916	D₄×M₁₆	—	61	1	no	—
917	D₄×M₁₆	—	61	1	no	—
918	#2933	—	61	1	no	—
919	#2933	—	61	1	no	—
920	#2930	—	61	1	no	—
921	#2930	—	61	1	no	—
922	C₂×#436	—	61	1	no	—
923	C₂×C₆₁	—	4	1	no	—
924	C₂×C₆₁	—	4	1	no	—
925	C₂×C₆₁	—	4	1	no	—
926	C₂×C₆₁	—	4	1	no	—
927	C₂×C₆₁	C₄×H(5,𝔽₂)	1	1	yes	characteristic
928	C₂×C₆₁	C₂×#568	1	1	yes	characteristic
929	C₂×C₆₁	C₂×#568	1	1	yes	characteristic
930	D₆₁	—	2	2	no	—
931	D₆₁	—	4	1	no	—
932	D₆₁	—	4	1	no	—
933	D₆₁	—	4	1	no	—
934	D₆₁	—	4	1	no	—
935	C₂×#131	—	61	1	no	—
936	C₂×#131	—	61	1	no	—
937	C₂²×M₁₆	—	61	1	no	—
938	C₂²×M₁₆	—	61	1	no	—
939	C₂²×M₁₆	—	61	1	no	—
940	C₂²×M₁₆	—	61	1	no	—
941	#559	—	61	1	no	—
942	#554	—	61	1	no	—
943	#554	—	61	1	no	—
944	#553	—	61	1	no	—
945	#553	—	61	1	no	—
946	#553	—	61	1	no	—
947	#553	#6923	1	1	yes	characteristic
948	#551	—	61	1	no	—
949	#551	—	61	1	no	—
950	#551	—	61	1	no	—
951	#551	—	61	1	no	—
952	#546	—	61	1	no	—
953	#546	—	61	1	no	—
954	#546	—	61	1	no	—
955	#546	—	61	1	no	—
956	D₄²	—	61	1	no	—
957	#532	—	61	1	no	—
958	#529	—	61	1	no	—
959	#529	—	61	1	no	—
960	#529	—	61	1	no	—
961	#529	—	61	1	no	—
962	#525	—	61	1	no	—
963	#525	—	61	1	no	—
964	#525	—	61	1	no	—
965	#525	—	61	1	no	—
966	C₄×#41	—	61	1	no	—
967	C₄×#41	—	61	1	no	—
968	C₂×C₄×D₄	—	61	1	no	—
969	C₂×C₄×D₄	—	61	1	no	—
970	C₂×C₄×D₄	—	61	1	no	—
971	C₂×C₄×D₄	—	61	1	no	—
972	#446	—	61	1	no	—
973	#446	—	61	1	no	—
974	#446	—	61	1	no	—
975	#446	—	61	1	no	—
976	#446	—	61	1	no	—
977	#446	—	61	1	no	—
978	C₈×Q₈	—	61	1	no	—
979	C₈×Q₈	—	61	1	no	—
980	#436	—	61	1	no	—
981	#436	—	61	1	no	—
982	#436	—	61	1	no	—
983	#436	—	61	1	no	—
984	#436	—	61	1	no	—
985	#436	—	61	1	no	—
986	#436	—	61	1	no	—
987	#436	—	61	1	no	—
988	#436	—	61	1	no	—
989	#436	—	61	1	no	—
990	#436	—	61	1	no	—
991	#436	—	61	1	no	—
992	#436	—	61	1	no	—
993	#436	—	61	1	no	—
994	#436	—	61	1	no	—
995	#436	—	61	1	no	—
996	#436	—	61	1	no	—
997	#436	—	61	1	no	—
998	#436	—	61	1	no	—
999	#436	—	61	1	no	—
1000	#436	—	61	1	no	—
1001	#436	—	61	1	no	—
1002	#436	—	61	1	no	—
1003	#436	—	61	1	no	—
1004	#436	—	61	1	no	—
1005	#436	—	61	1	no	—
1006	#435	—	61	1	no	—
1007	#435	—	61	1	no	—
1008	#435	—	61	1	no	—
1009	#435	—	61	1	no	—
1010	#435	—	61	1	no	—
1011	#435	—	61	1	no	—
1012	#435	—	61	1	no	—
1013	#435	—	61	1	no	—
1014	#435	—	61	1	no	—
1015	#435	—	61	1	no	—
1016	#435	—	61	1	no	—
1017	#435	—	61	1	no	—
1018	#435	—	61	1	no	—
1019	#435	—	61	1	no	—
1020	#435	—	61	1	no	—
1021	#435	—	61	1	no	—
1022	#435	—	61	1	no	—
1023	#435	—	61	1	no	—
1024	#435	—	61	1	no	—
1025	#435	—	61	1	no	—
1026	#435	—	61	1	no	—
1027	#435	—	61	1	no	—
1028	#435	—	61	1	no	—
1029	#435	—	61	1	no	—
1030	#435	—	61	1	no	—
1031	#435	—	61	1	no	—
1032	#435	—	61	1	no	—
1033	#435	—	61	1	no	—
1034	#435	—	61	1	no	—
1035	#435	—	61	1	no	—
1036	#435	—	61	1	no	—
1037	#435	—	61	1	no	—
1038	#435	—	61	1	no	—
1039	#435	—	61	1	no	—
1040	#435	—	61	1	no	—
1041	#435	—	61	1	no	—
1042	C₈×D₄	—	61	1	no	—
1043	C₈×D₄	—	61	1	no	—
1044	C₈×D₄	—	61	1	no	—
1045	C₈×D₄	—	61	1	no	—
1046	C₈×D₄	—	61	1	no	—
1047	C₈×D₄	—	61	1	no	—
1048	C₈×D₄	—	61	1	no	—
1049	C₈×D₄	—	61	1	no	—
1050	C₈×D₄	—	61	1	no	—
1051	C₈×D₄	—	61	1	no	—
1052	#433	—	61	1	no	—
1053	#433	—	61	1	no	—
1054	#433	—	61	1	no	—
1055	#433	—	61	1	no	—
1056	#433	—	61	1	no	—
1057	#433	—	61	1	no	—
1058	#433	—	61	1	no	—
1059	#433	—	61	1	no	—
1060	#432	—	61	1	no	—
1061	#432	—	61	1	no	—
1062	#432	—	61	1	no	—
1063	#432	—	61	1	no	—
1064	#432	—	61	1	no	—
1065	#432	—	61	1	no	—
1066	#431	—	61	1	no	—
1067	#431	—	61	1	no	—
1068	#431	—	61	1	no	—
1069	#431	—	61	1	no	—
1070	#424	—	61	1	no	—
1071	#424	—	61	1	no	—
1072	#424	—	61	1	no	—
1073	#424	—	61	1	no	—
1074	#423	—	61	1	no	—
1075	#423	—	61	1	no	—
1076	#423	—	61	1	no	—
1077	C₂×C₄⋊C₈	—	61	1	no	—
1078	C₂×C₄⋊C₈	—	61	1	no	—
1079	#408	—	61	1	no	—
1080	#408	—	61	1	no	—
1081	#408	—	61	1	no	—
1082	#408	—	61	1	no	—
1083	#408	—	61	1	no	—
1084	#408	—	61	1	no	—
1085	#407	—	61	1	no	—
1086	#407	—	61	1	no	—
1087	#407	—	61	1	no	—
1088	#407	—	61	1	no	—
1089	#407	—	61	1	no	—
1090	#407	—	61	1	no	—
1091	#407	—	61	1	no	—
1092	#407	—	61	1	no	—
1093	C₂×C₂²⋊C₈	—	61	1	no	—
1094	C₂×C₂²⋊C₈	—	61	1	no	—
1095	C₂×C₂²⋊C₈	—	61	1	no	—
1096	C₂×C₂²⋊C₈	—	61	1	no	—
1097	#405	—	61	1	no	—
1098	#405	—	61	1	no	—
1099	#405	—	61	1	no	—
1100	#405	—	61	1	no	—
1101	C₄×M₁₆	—	61	1	no	—
1102	C₄×M₁₆	—	61	1	no	—
1103	C₄×M₁₆	—	61	1	no	—
1104	C₄×M₁₆	—	61	1	no	—
1105	C₂×C₄×C₈	—	61	1	no	—
1106	C₆₁	#60324	1	1	yes	characteristic, complemented, Sylow
1107	C₂×#41	—	61	1	no	—
1108	C₂×#41	—	61	1	no	—
1109	C₂×#41	—	61	1	no	—
1110	C₂×#41	—	61	1	no	—
1111	C₂²×D₄	—	61	1	no	—
1112	C₂²×D₄	—	61	1	no	—
1113	C₂²×D₄	—	61	1	no	—
1114	C₂²×D₄	—	61	1	no	—
1115	C₂³×C₄	—	61	1	no	—
1116	C₂³×C₄	—	61	1	no	—
1117	C₂³×C₄	—	61	1	no	—
1118	C₂³×C₄	—	61	1	no	—
1119	#131	—	244	2	no	—
1120	#131	—	244	2	no	—
1121	C₂×M₁₆	—	61	1	no	—
1122	C₂×M₁₆	—	61	1	no	—
1123	C₂×M₁₆	—	61	1	no	—
1124	C₂×M₁₆	—	61	1	no	—
1125	C₂×M₁₆	—	61	1	no	—
1126	C₂×M₁₆	—	61	1	no	—
1127	C₂×M₁₆	—	61	1	no	—
1128	C₂×M₁₆	—	61	1	no	—
1129	C₂×M₁₆	—	61	1	no	—
1130	C₂×M₁₆	—	61	1	no	—
1131	C₂×M₁₆	—	61	1	no	—
1132	C₂×M₁₆	—	61	1	no	—
1133	C₂×M₁₆	—	61	1	no	—
1134	C₂×M₁₆	—	61	1	no	—
1135	C₂×M₁₆	—	61	1	no	—
1136	C₂×M₁₆	—	61	1	no	—
1137	C₂×M₁₆	—	61	1	no	—
1138	C₂×M₁₆	—	61	1	no	—
1139	C₂×M₁₆	—	61	1	no	—
1140	C₂×M₁₆	—	61	1	no	—
1141	C₂×M₁₆	—	61	1	no	—
1142	C₂×M₁₆	—	61	1	no	—
1143	C₂×M₁₆	—	244	2	no	—
1144	C₂×M₁₆	—	244	2	no	—
1145	C₂×M₁₆	—	244	2	no	—
1146	C₂×M₁₆	—	244	2	no	—
1147	C₂²×C₈	—	61	1	no	—
1148	C₂²×C₈	—	61	1	no	—
1149	C₂²×C₈	—	61	1	no	—
1150	C₂²×C₈	—	61	1	no	—
1151	C₂²×C₈	—	61	1	no	—
1152	C₂²×C₈	—	61	1	no	—
1153	C₂²×C₈	—	61	1	no	—
1154	C₂²×C₈	—	61	1	no	—
1155	C₂²×C₈	—	61	1	no	—
1156	C₂²×C₈	—	61	1	no	—
1157	C₂²×C₈	—	61	1	no	—
1158	C₂²×C₈	—	61	1	no	—
1159	C₂²×C₈	—	61	1	no	—
1160	C₂²×C₈	—	61	1	no	—
1161	C₄⋊Q₈	—	61	1	no	—
1162	#127	—	61	1	no	—
1163	#126	—	61	1	no	—
1164	#126	—	61	1	no	—
1165	#126	—	61	1	no	—
1166	#126	—	61	1	no	—
1167	#126	—	61	1	no	—
1168	#126	—	61	1	no	—
1169	#126	C₂×#6923	1	1	yes	characteristic
1170	#126	C₂×#6923	1	1	yes	characteristic
1171	#125	—	61	1	no	—
1172	#125	—	61	1	no	—
1173	#125	—	61	1	no	—
1174	#125	C₂×#6923	1	1	yes	characteristic
1175	#124	—	61	1	no	—
1176	#124	—	61	1	no	—
1177	#124	—	61	1	no	—
1178	#124	—	61	1	no	—
1179	#124	—	61	1	no	—
1180	#124	—	61	1	no	—
1181	#123	—	61	1	no	—
1182	#123	—	61	1	no	—
1183	#123	—	61	1	no	—
1184	#123	—	61	1	no	—
1185	#123	—	61	1	no	—
1186	#123	—	61	1	no	—
1187	#123	—	61	1	no	—
1188	#123	—	61	1	no	—
1189	#123	—	61	1	no	—
1190	#123	—	61	1	no	—
1191	#123	—	61	1	no	—
1192	#123	—	61	1	no	—
1193	#123	—	61	1	no	—
1194	#123	—	61	1	no	—
1195	#123	C₂×#6923	1	1	yes	characteristic
1196	#123	C₂×#6923	1	1	yes	characteristic
1197	C₂²⋊Q₈	—	61	1	no	—
1198	C₂²⋊Q₈	—	61	1	no	—
1199	C₂²⋊Q₈	—	61	1	no	—
1200	C₂²⋊Q₈	—	61	1	no	—
1201	C₂²⋊Q₈	—	61	1	no	—
1202	C₂²⋊Q₈	—	61	1	no	—
1203	C₂²⋊Q₈	—	61	1	no	—
1204	C₂²⋊Q₈	—	61	1	no	—
1205	C₂²⋊Q₈	—	61	1	no	—
1206	C₂²⋊Q₈	—	61	1	no	—
1207	C₂²⋊Q₈	—	61	1	no	—
1208	C₂²⋊Q₈	—	61	1	no	—
1209	#121	—	61	1	no	—
1210	#121	—	61	1	no	—
1211	#121	—	61	1	no	—
1212	#121	—	61	1	no	—
1213	#121	—	61	1	no	—
1214	#121	—	61	1	no	—
1215	#121	—	61	1	no	—
1216	#121	—	61	1	no	—
1217	#121	—	61	1	no	—
1218	#121	—	61	1	no	—
1219	#121	—	61	1	no	—
1220	#121	—	61	1	no	—
1221	#121	C₂×#6923	1	1	yes	characteristic
1222	#121	C₂×#6923	1	1	yes	characteristic
1223	#121	C₂×#6923	1	1	yes	characteristic
1224	#121	C₂×#6923	1	1	yes	characteristic
1225	#120	—	61	1	no	—
1226	#120	—	61	1	no	—
1227	#120	—	61	1	no	—
1228	#120	—	61	1	no	—
1229	#120	—	61	1	no	—
1230	#120	—	61	1	no	—
1231	#120	—	61	1	no	—
1232	#120	—	61	1	no	—
1233	C₄×Q₈	—	61	1	no	—
1234	C₄×Q₈	—	61	1	no	—
1235	C₄×Q₈	—	61	1	no	—
1236	C₄×Q₈	—	61	1	no	—
1237	C₄×D₄	—	61	1	no	—
1238	C₄×D₄	—	61	1	no	—
1239	C₄×D₄	—	61	1	no	—
1240	C₄×D₄	—	61	1	no	—
1241	C₄×D₄	—	61	1	no	—
1242	C₄×D₄	—	61	1	no	—
1243	C₄×D₄	—	61	1	no	—
1244	C₄×D₄	—	61	1	no	—
1245	C₄×D₄	—	61	1	no	—
1246	C₄×D₄	—	61	1	no	—
1247	C₄×D₄	—	61	1	no	—
1248	C₄×D₄	—	61	1	no	—
1249	C₄×D₄	—	61	1	no	—
1250	C₄×D₄	—	61	1	no	—
1251	C₄×D₄	—	61	1	no	—
1252	C₄×D₄	—	61	1	no	—
1253	C₄×D₄	—	61	1	no	—
1254	C₄×D₄	—	61	1	no	—
1255	C₄×D₄	—	61	1	no	—
1256	C₄×D₄	—	61	1	no	—
1257	C₄×D₄	—	61	1	no	—
1258	C₄×D₄	—	61	1	no	—
1259	C₄×D₄	—	61	1	no	—
1260	C₄×D₄	—	61	1	no	—
1261	C₄×D₄	—	61	1	no	—
1262	C₄×D₄	—	61	1	no	—
1263	C₄×D₄	—	61	1	no	—
1264	C₄×D₄	—	61	1	no	—
1265	C₄×D₄	—	61	1	no	—
1266	C₄×D₄	—	61	1	no	—
1267	C₄×D₄	—	61	1	no	—
1268	C₄×D₄	—	61	1	no	—
1269	C₄×D₄	—	61	1	no	—
1270	C₄×D₄	—	61	1	no	—
1271	C₄×D₄	—	61	1	no	—
1272	C₄×D₄	—	61	1	no	—
1273	C₄×D₄	C₂×#6923	1	1	yes	characteristic
1274	C₄×D₄	C₂×#6923	1	1	yes	characteristic
1275	C₄×D₄	C₂×#6923	1	1	yes	characteristic
1276	C₄×D₄	C₂×#6923	1	1	yes	characteristic
1277	#117	—	61	1	no	—
1278	#117	—	61	1	no	—
1279	#117	—	61	1	no	—
1280	#117	—	61	1	no	—
1281	#117	—	61	1	no	—
1282	#117	—	61	1	no	—
1283	#117	—	61	1	no	—
1284	#117	—	61	1	no	—
1285	#117	—	61	1	no	—
1286	#117	C₂×#6923	1	1	yes	characteristic
1287	C₂×C₄⋊C₄	—	61	1	no	—
1288	C₂×C₄⋊C₄	—	61	1	no	—
1289	C₂×C₄⋊C₄	—	61	1	no	—
1290	C₂×C₄⋊C₄	C₂×#6923	1	1	yes	characteristic
1291	C₂×C₂²⋊C₄	—	61	1	no	—
1292	C₂×C₂²⋊C₄	—	61	1	no	—
1293	C₂×C₂²⋊C₄	—	61	1	no	—
1294	C₂×C₂²⋊C₄	—	61	1	no	—
1295	C₂×C₂²⋊C₄	—	61	1	no	—
1296	C₂×C₂²⋊C₄	—	61	1	no	—
1297	C₂×C₂²⋊C₄	—	61	1	no	—
1298	C₂×C₂²⋊C₄	—	61	1	no	—
1299	C₂×C₄²	—	61	1	no	—
1300	C₂×C₄²	—	61	1	no	—
1301	C₂×C₄²	—	61	1	no	—
1302	C₂×C₄²	—	61	1	no	—
1303	C₂×C₄²	—	61	1	no	—
1304	C₄⋊C₈	—	61	1	no	—
1305	C₄⋊C₈	—	61	1	no	—
1306	C₄⋊C₈	—	61	1	no	—
1307	C₄⋊C₈	—	61	1	no	—
1308	C₄⋊C₈	—	61	1	no	—
1309	C₄⋊C₈	—	61	1	no	—
1310	C₄⋊C₈	—	61	1	no	—
1311	C₄⋊C₈	—	61	1	no	—
1312	C₄⋊C₈	—	61	1	no	—
1313	C₄⋊C₈	—	61	1	no	—
1314	C₄⋊C₈	—	61	1	no	—
1315	C₄⋊C₈	—	61	1	no	—
1316	C₄⋊C₈	—	61	1	no	—
1317	C₄⋊C₈	—	61	1	no	—
1318	C₄⋊C₈	—	61	1	no	—
1319	C₄⋊C₈	—	61	1	no	—
1320	C₄⋊C₈	—	61	1	no	—
1321	C₄⋊C₈	—	61	1	no	—
1322	C₄⋊C₈	—	61	1	no	—
1323	C₄⋊C₈	—	61	1	no	—
1324	C₄⋊C₈	—	61	1	no	—
1325	C₄⋊C₈	—	61	1	no	—
1326	C₄⋊C₈	—	61	1	no	—
1327	C₄⋊C₈	—	61	1	no	—
1328	C₂²⋊C₈	—	61	1	no	—
1329	C₂²⋊C₈	—	61	1	no	—
1330	C₂²⋊C₈	—	61	1	no	—
1331	C₂²⋊C₈	—	61	1	no	—
1332	C₂²⋊C₈	—	61	1	no	—
1333	C₂²⋊C₈	—	61	1	no	—
1334	C₂²⋊C₈	—	61	1	no	—
1335	C₂²⋊C₈	—	61	1	no	—
1336	C₂²⋊C₈	—	61	1	no	—
1337	C₂²⋊C₈	—	61	1	no	—
1338	C₂²⋊C₈	—	61	1	no	—
1339	C₂²⋊C₈	—	61	1	no	—
1340	C₂²⋊C₈	—	61	1	no	—
1341	C₂²⋊C₈	—	61	1	no	—
1342	C₂²⋊C₈	—	61	1	no	—
1343	C₂²⋊C₈	—	61	1	no	—
1344	C₂²⋊C₈	—	61	1	no	—
1345	C₂²⋊C₈	—	61	1	no	—
1346	C₂²⋊C₈	—	61	1	no	—
1347	C₂²⋊C₈	—	61	1	no	—
1348	C₂²⋊C₈	—	61	1	no	—
1349	C₂²⋊C₈	—	61	1	no	—
1350	C₂²⋊C₈	—	61	1	no	—
1351	C₂²⋊C₈	—	61	1	no	—
1352	C₂²⋊C₈	—	61	1	no	—
1353	C₂²⋊C₈	—	61	1	no	—
1354	C₂²⋊C₈	—	61	1	no	—
1355	C₂²⋊C₈	—	61	1	no	—
1356	C₂²⋊C₈	—	61	1	no	—
1357	C₂²⋊C₈	—	61	1	no	—
1358	C₂²⋊C₈	—	61	1	no	—
1359	C₂²⋊C₈	—	61	1	no	—
1360	C₂²⋊C₈	—	61	1	no	—
1361	C₂²⋊C₈	—	61	1	no	—
1362	C₂²⋊C₈	—	61	1	no	—
1363	C₂²⋊C₈	—	61	1	no	—
1364	#97	—	61	1	no	—
1365	#97	—	61	1	no	—
1366	#97	—	61	1	no	—
1367	#97	—	61	1	no	—
1368	#97	—	61	1	no	—
1369	#97	—	61	1	no	—
1370	#97	—	61	1	no	—
1371	#97	—	61	1	no	—
1372	#97	—	61	1	no	—
1373	#97	—	61	1	no	—
1374	#97	—	61	1	no	—
1375	#97	—	61	1	no	—
1376	C₄×C₈	—	61	1	no	—
1377	C₄×C₈	—	61	1	no	—
1378	C₄×C₈	—	61	1	no	—
1379	C₄×C₈	—	61	1	no	—
1380	C₄×C₈	—	61	1	no	—
1381	C₄×C₈	—	61	1	no	—
1382	C₄×C₈	—	61	1	no	—
1383	C₄×C₈	—	61	1	no	—
1384	C₄×C₈	—	61	1	no	—
1385	C₄×C₈	—	61	1	no	—
1386	C₄×C₈	—	61	1	no	—
1387	C₄×C₈	—	61	1	no	—
1388	C₂⁴	—	61	1	no	—
1389	C₂⁴	—	61	1	no	—
1390	C₂⁴	—	61	1	no	—
1391	C₂⁴	—	61	1	no	—
1392	#41	—	244	2	no	—
1393	#41	—	244	1	no	—
1394	#41	—	244	1	no	—
1395	#41	—	244	1	no	—
1396	#41	—	244	1	no	—
1397	#41	—	244	2	no	—
1398	C₂×Q₈	—	61	1	no	—
1399	C₂×Q₈	—	61	1	no	—
1400	C₂×Q₈	—	61	1	no	—
1401	C₂×Q₈	—	61	1	no	—
1402	C₂×D₄	—	61	1	no	—
1403	C₂×D₄	—	61	1	no	—
1404	C₂×D₄	—	61	1	no	—
1405	C₂×D₄	—	61	1	no	—
1406	C₂×D₄	—	61	1	no	—
1407	C₂×D₄	—	61	1	no	—
1408	C₂×D₄	—	61	1	no	—
1409	C₂×D₄	—	61	1	no	—
1410	C₂×D₄	—	61	1	no	—
1411	C₂×D₄	—	61	1	no	—
1412	C₂×D₄	—	61	1	no	—
1413	C₂×D₄	—	61	1	no	—
1414	C₂×D₄	—	61	1	no	—
1415	C₂×D₄	—	61	1	no	—
1416	C₂×D₄	—	61	1	no	—
1417	C₂×D₄	—	61	1	no	—
1418	C₂×D₄	—	61	1	no	—
1419	C₂×D₄	—	61	1	no	—
1420	C₂×D₄	—	244	2	no	—
1421	C₂×D₄	—	244	2	no	—
1422	C₂×D₄	—	244	2	no	—
1423	C₂×D₄	—	244	2	no	—
1424	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1425	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1426	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1427	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1428	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1429	C₂×D₄	C₂²×#6923	1	1	yes	characteristic
1430	C₂²×C₄	—	61	1	no	—
1431	C₂²×C₄	—	61	1	no	—
1432	C₂²×C₄	—	61	1	no	—
1433	C₂²×C₄	—	61	1	no	—
1434	C₂²×C₄	—	61	1	no	—
1435	C₂²×C₄	—	61	1	no	—
1436	C₂²×C₄	—	61	1	no	—
1437	C₂²×C₄	—	61	1	no	—
1438	C₂²×C₄	—	61	1	no	—
1439	C₂²×C₄	—	61	1	no	—
1440	C₂²×C₄	—	61	1	no	—
1441	C₂²×C₄	—	61	1	no	—
1442	C₂²×C₄	—	61	1	no	—
1443	C₂²×C₄	—	61	1	no	—
1444	C₂²×C₄	—	61	1	no	—
1445	C₂²×C₄	—	61	1	no	—
1446	C₂²×C₄	—	61	1	no	—
1447	C₂²×C₄	—	61	1	no	—
1448	C₂²×C₄	—	61	1	no	—
1449	C₂²×C₄	—	61	1	no	—
1450	C₂²×C₄	—	61	1	no	—
1451	C₂²×C₄	—	61	1	no	—
1452	C₂²×C₄	—	61	1	no	—
1453	C₂²×C₄	—	61	1	no	—
1454	C₂²×C₄	—	61	1	no	—
1455	C₂²×C₄	—	244	1	no	—
1456	C₂²×C₄	—	244	1	no	—
1457	C₂²×C₄	—	244	1	no	—
1458	C₂²×C₄	—	244	1	no	—
1459	C₂²×C₄	—	244	1	no	—
1460	C₂²×C₄	—	244	1	no	—
1461	C₂²×C₄	—	244	1	no	—
1462	C₂²×C₄	—	244	1	no	—
1463	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1464	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1465	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1466	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1467	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1468	C₂²×C₄	C₂²×#6923	1	1	yes	characteristic
1469	M₁₆	—	122	2	no	—
1470	M₁₆	—	122	2	no	—
1471	M₁₆	—	122	2	no	—
1472	M₁₆	—	122	2	no	—
1473	M₁₆	—	122	2	no	—
1474	M₁₆	—	122	2	no	—
1475	M₁₆	—	244	1	no	—
1476	M₁₆	—	244	1	no	—
1477	M₁₆	—	244	1	no	—
1478	M₁₆	—	244	1	no	—
1479	M₁₆	—	244	1	no	—
1480	M₁₆	—	244	1	no	—
1481	M₁₆	—	244	1	no	—
1482	M₁₆	—	244	1	no	—
1483	M₁₆	—	244	1	no	—
1484	M₁₆	—	244	1	no	—
1485	M₁₆	—	244	1	no	—
1486	M₁₆	—	244	1	no	—
1487	M₁₆	—	244	1	no	—
1488	M₁₆	—	244	1	no	—
1489	M₁₆	—	244	1	no	—
1490	M₁₆	—	244	1	no	—
1491	C₂×C₈	—	61	1	no	—
1492	C₂×C₈	—	61	1	no	—
1493	C₂×C₈	—	61	1	no	—
1494	C₂×C₈	—	61	1	no	—
1495	C₂×C₈	—	61	1	no	—
1496	C₂×C₈	—	61	1	no	—
1497	C₂×C₈	—	61	1	no	—
1498	C₂×C₈	—	61	1	no	—
1499	C₂×C₈	—	61	1	no	—
1500	C₂×C₈	—	61	1	no	—
1501	C₂×C₈	—	61	1	no	—
1502	C₂×C₈	—	61	1	no	—
1503	C₂×C₈	—	61	1	no	—
1504	C₂×C₈	—	61	1	no	—
1505	C₂×C₈	—	61	1	no	—
1506	C₂×C₈	—	61	1	no	—
1507	C₂×C₈	—	122	2	no	—
1508	C₂×C₈	—	122	2	no	—
1509	C₂×C₈	—	122	2	no	—
1510	C₂×C₈	—	244	1	no	—
1511	C₂×C₈	—	244	1	no	—
1512	C₂×C₈	—	244	1	no	—
1513	C₂×C₈	—	244	1	no	—
1514	C₂×C₈	—	244	1	no	—
1515	C₂×C₈	—	244	1	no	—
1516	C₂×C₈	—	244	1	no	—
1517	C₂×C₈	—	244	1	no	—
1518	C₂×C₈	—	244	1	no	—
1519	C₂×C₈	—	244	1	no	—
1520	C₂×C₈	—	244	1	no	—
1521	C₄⋊C₄	—	61	1	no	—
1522	C₄⋊C₄	—	61	1	no	—
1523	C₄⋊C₄	—	61	1	no	—
1524	C₄⋊C₄	—	61	1	no	—
1525	C₄⋊C₄	—	61	1	no	—
1526	C₄⋊C₄	—	61	1	no	—
1527	C₄⋊C₄	—	61	1	no	—
1528	C₄⋊C₄	—	61	1	no	—
1529	C₄⋊C₄	—	61	1	no	—
1530	C₄⋊C₄	—	61	1	no	—
1531	C₄⋊C₄	—	61	1	no	—
1532	C₄⋊C₄	—	61	1	no	—
1533	C₄⋊C₄	—	61	1	no	—
1534	C₄⋊C₄	—	61	1	no	—
1535	C₄⋊C₄	—	61	1	no	—
1536	C₄⋊C₄	—	61	1	no	—
1537	C₄⋊C₄	—	61	1	no	—
1538	C₄⋊C₄	—	61	1	no	—
1539	C₄⋊C₄	—	61	1	no	—
1540	C₄⋊C₄	—	61	1	no	—
1541	C₄⋊C₄	—	61	1	no	—
1542	C₄⋊C₄	—	61	1	no	—
1543	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1544	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1545	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1546	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1547	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1548	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1549	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1550	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1551	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
1552	C₄⋊C₄	C₂²×#6923	1	1	yes	characteristic
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	—	61	1	no	—
1584	C₂²⋊C₄	—	61	1	no	—
1585	C₂²⋊C₄	—	61	1	no	—
1586	C₂²⋊C₄	—	61	1	no	—
1587	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1588	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1589	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1590	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1591	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1592	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1593	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1594	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1595	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1596	C₂²⋊C₄	C₂²×#6923	1	1	yes	characteristic
1597	C₄²	—	61	1	no	—
1598	C₄²	—	61	1	no	—
1599	C₄²	—	61	1	no	—
1600	C₄²	—	61	1	no	—
1601	C₄²	—	61	1	no	—
1602	C₄²	—	61	1	no	—
1603	C₄²	—	61	1	no	—
1604	C₄²	—	61	1	no	—
1605	C₄²	—	61	1	no	—
1606	C₄²	—	61	1	no	—
1607	C₄²	—	61	1	no	—
1608	C₄²	—	61	1	no	—
1609	C₄²	—	61	1	no	—
1610	C₄²	C₂²×#6923	1	1	yes	characteristic
1611	C₄²	C₂²×#6923	1	1	yes	characteristic
1612	C₄²	C₂²×#6923	1	1	yes	characteristic
1613	C₂³	—	61	1	no	—
1614	C₂³	—	61	1	no	—
1615	C₂³	—	61	1	no	—
1616	C₂³	—	61	1	no	—
1617	C₂³	—	61	1	no	—
1618	C₂³	—	122	2	no	—
1619	C₂³	—	122	2	no	—
1620	C₂³	—	244	1	no	—
1621	C₂³	—	244	1	no	—
1622	C₂³	—	244	1	no	—
1623	C₂³	—	244	1	no	—
1624	C₂³	—	244	1	no	—
1625	C₂³	—	244	1	no	—
1626	C₂³	—	244	1	no	—
1627	C₂³	—	244	1	no	—
1628	C₂³	—	244	1	no	—
1629	C₂³	—	244	1	no	—
1630	C₂³	C₂³×#6923	1	1	yes	characteristic
1631	C₂³	C₂³×#6923	1	1	yes	characteristic
1632	C₂³	C₂³×#6923	1	1	yes	characteristic
1633	C₂³	C₂³×#6923	1	1	yes	characteristic
1634	Q₈	—	122	2	no	—
1635	Q₈	—	244	1	no	—
1636	Q₈	—	244	1	no	—
1637	Q₈	—	244	1	no	—
1638	D₄	—	4	1	no	—
1639	D₄	—	4	1	no	—
1640	D₄	—	4	1	no	—
1641	D₄	—	4	1	no	—
1642	D₄	—	4	1	no	—
1643	D₄	—	4	1	no	—
1644	D₄	—	122	2	no	—
1645	D₄	—	122	2	no	—
1646	D₄	—	122	2	no	—
1647	D₄	—	122	2	no	—
1648	D₄	—	122	2	no	—
1649	D₄	—	122	2	no	—
1650	D₄	—	122	2	no	—
1651	D₄	—	244	1	no	—
1652	D₄	—	244	1	no	—
1653	D₄	—	244	1	no	—
1654	D₄	—	244	1	no	—
1655	D₄	—	244	1	no	—
1656	D₄	—	244	1	no	—
1657	D₄	—	244	1	no	—
1658	D₄	—	244	1	no	—
1659	D₄	—	244	1	no	—
1660	D₄	—	244	1	no	—
1661	D₄	—	244	1	no	—
1662	C₂×C₄	—	4	1	no	—
1663	C₂×C₄	—	4	1	no	—
1664	C₂×C₄	—	4	1	no	—
1665	C₂×C₄	—	4	1	no	—
1666	C₂×C₄	—	4	1	no	—
1667	C₂×C₄	—	4	1	no	—
1668	C₂×C₄	—	61	1	no	—
1669	C₂×C₄	—	61	1	no	—
1670	C₂×C₄	—	61	1	no	—
1671	C₂×C₄	—	61	1	no	—
1672	C₂×C₄	—	61	1	no	—
1673	C₂×C₄	—	61	1	no	—
1674	C₂×C₄	—	61	1	no	—
1675	C₂×C₄	—	61	1	no	—
1676	C₂×C₄	—	61	1	no	—
1677	C₂×C₄	—	61	1	no	—
1678	C₂×C₄	—	61	1	no	—
1679	C₂×C₄	—	122	1	no	—
1680	C₂×C₄	—	122	1	no	—
1681	C₂×C₄	—	122	1	no	—
1682	C₂×C₄	—	122	1	no	—
1683	C₂×C₄	—	122	1	no	—
1684	C₂×C₄	—	122	1	no	—
1685	C₂×C₄	—	122	1	no	—
1686	C₂×C₄	—	122	1	no	—
1687	C₂×C₄	—	122	1	no	—
1688	C₂×C₄	—	122	1	no	—
1689	C₂×C₄	—	122	2	no	—
1690	C₂×C₄	—	122	2	no	—
1691	C₂×C₄	—	122	2	no	—
1692	C₂×C₄	—	122	1	no	—
1693	C₂×C₄	—	122	1	no	—
1694	C₂×C₄	—	122	1	no	—
1695	C₂×C₄	—	122	1	no	—
1696	C₂×C₄	—	122	1	no	—
1697	C₂×C₄	—	122	1	no	—
1698	C₂×C₄	—	122	1	no	—
1699	C₂×C₄	—	122	1	no	—
1700	C₂×C₄	—	122	2	no	—
1701	C₂×C₄	—	244	1	no	—
1702	C₂×C₄	—	244	1	no	—
1703	C₂×C₄	—	244	1	no	—
1704	C₂×C₄	—	244	1	no	—
1705	C₂×C₄	—	244	1	no	—
1706	C₂×C₄	—	244	1	no	—
1707	C₂×C₄	—	244	1	no	—
1708	C₂×C₄	—	244	1	no	—
1709	C₂×C₄	—	244	1	no	—
1710	C₂×C₄	—	244	1	no	—
1711	C₂×C₄	—	244	1	no	—
1712	C₂×C₄	—	244	1	no	—
1713	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1714	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1715	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1716	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1717	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1718	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1719	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1720	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1721	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1722	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1723	C₂×C₄	C₂³×#6923	1	1	yes	characteristic
1724	C₈	—	61	2	no	—
1725	C₈	—	122	1	no	—
1726	C₈	—	122	1	no	—
1727	C₈	—	122	1	no	—
1728	C₈	—	122	1	no	—
1729	C₈	—	122	1	no	—
1730	C₈	—	122	1	no	—
1731	C₈	—	122	1	no	—
1732	C₈	—	122	1	no	—
1733	C₈	—	122	1	no	—
1734	C₈	—	122	1	no	—
1735	C₈	—	122	1	no	—
1736	C₈	—	122	1	no	—
1737	C₈	—	122	1	no	—
1738	C₈	—	122	1	no	—
1739	C₈	—	122	1	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	2	1	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	61	2	no	—
1753	C₂²	—	122	1	no	—
1754	C₂²	—	122	1	no	—
1755	C₂²	—	122	1	no	—
1756	C₂²	—	122	1	no	—
1757	C₂²	—	122	1	no	—
1758	C₂²	—	122	1	no	—
1759	C₂²	—	122	1	no	—
1760	C₂²	—	122	1	no	—
1761	C₂²	—	122	1	no	—
1762	C₂²	—	122	1	no	—
1763	C₂²	—	122	1	no	—
1764	C₂²	—	122	1	no	—
1765	C₂²	—	122	1	no	—
1766	C₂²	—	122	1	no	—
1767	C₂²	—	488	2	no	—
1768	C₂²	—	488	2	no	—
1769	C₂²	—	488	2	no	—
1770	C₂²	—	488	2	no	—
1771	C₂²	C₂⁴×#6923	1	1	yes	characteristic
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	1	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	2	1	no	—
1782	C₄	—	2	1	no	—
1783	C₄	—	61	1	no	—
1784	C₄	—	61	1	no	—
1785	C₄	—	61	2	no	—
1786	C₄	—	122	1	no	—
1787	C₄	—	122	1	no	—
1788	C₄	—	122	1	no	—
1789	C₄	—	122	1	no	—
1790	C₄	—	122	1	no	—
1791	C₄	—	122	1	no	—
1792	C₄	—	122	1	no	—
1793	C₄	—	122	1	no	—
1794	C₄	—	122	1	no	—
1795	C₂	—	4	1	no	—
1796	C₂	—	4	1	no	—
1797	C₂	—	4	1	no	—
1798	C₂	—	4	1	no	—
1799	C₂	—	122	2	no	—
1800	C₂	—	244	1	no	—
1801	C₂	—	244	1	no	—
1802	C₂	—	244	1	no	—
1803	C₂	—	244	1	no	—
1804	C₂	H(5,𝔽₂)×#6923	1	1	yes	characteristic
1805	C₂	D₆₁⋊#568	1	1	yes	characteristic
1806	C₂	D₆₁⋊#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6923
commutator, socle	C₂²×C₆₁	C₂⁴×C₄
Fitting	C₆₁×#553	C₄
prime radical	#21459426	C₂
cosocle	C₂×Dic₆₁	C₂⁵
hypercenter	#553	#6923
hypocenter	C₆₁	#60324
LCS	G ▷ C₂²×C₆₁ ▷ C₆₁
UCS	C₁ ◁ C₂² ◁ #553

Complements

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

N	H ≅ G/N	type
1. #21462777	C₂	semidirect
2. #21462772	C₂	semidirect
3. #21462768	C₂	semidirect
4. #21462763	C₂	semidirect
5. #21462748	C₂	semidirect
6. #21462739	C₂	semidirect
7. #21462707	C₂	semidirect
8. #21462697	C₂	semidirect
9. #21462696	C₂	semidirect
10. #21462688	C₂	semidirect
11. #21462687	C₂	semidirect
12. #21462682	C₂	semidirect
13. #21462676	C₂	semidirect
14. #21462674	C₂	semidirect
15. #21462671	C₂	semidirect
16. #21462664	C₂	semidirect
17. #21462654	C₂	semidirect
18. #21462643	C₂	semidirect
19. #21462638	C₂	semidirect
20. #21462637	C₂	semidirect
21. #21462630	C₂	semidirect
22. #21462563	C₂	semidirect
23. #21462559	C₂	semidirect
24. #21462558	C₂	semidirect
25. #21462558	C₂	semidirect
26. #21462553	C₂	semidirect
27. #21462550	C₂	semidirect
28. #21462540	C₂	semidirect
29. #21462537	C₂	semidirect
30. D₆₁⋊#436	C₂	semidirect
32. C₂×#14519864	C₂²	semidirect
33. C₂×#14519864	C₂²	semidirect
34. C₂²×#11758213	C₂²	semidirect
35. C₂×D₆₁⋊M₁₆	C₂²	semidirect
36. C₂×D₆₁⋊M₁₆	C₂²	semidirect
37. C₂×D₆₁⋊M₁₆	C₂²	semidirect
38. #16840814	C₂²	semidirect
39. #16840814	C₂²	semidirect
40. #16840814	C₂²	semidirect
41. #16840814	C₂²	semidirect
42. #16840814	C₂²	semidirect
43. #16840814	C₂²	semidirect
44. #16840811	C₂²	semidirect
45. #16840811	C₂²	semidirect
46. #16840797	C₂²	semidirect
47. #16840797	C₂²	semidirect
48. #16840797	C₂²	semidirect
49. #16840797	C₂²	semidirect
50. #16840797	C₂²	semidirect
51. #16840797	C₂²	semidirect
52. #16840796	C₂²	semidirect
53. #16840796	C₂²	semidirect
54. #16840796	C₂²	semidirect
55. #16840796	C₂²	semidirect
56. #16840796	C₂²	semidirect
57. #16840796	C₂²	semidirect
62. #16840795	C₂²	semidirect
63. #16840795	C₂²	semidirect
64. #16840795	C₂²	semidirect
65. #16840795	C₂²	semidirect
66. #16840795	C₂²	semidirect
67. #16840795	C₂²	semidirect
68. #16840795	C₂²	semidirect
69. #16840795	C₂²	semidirect
70. #16840795	C₂²	semidirect
71. #16840795	C₂²	semidirect
72. #16840794	C₂²	semidirect
73. #16840794	C₂²	semidirect
74. #16840794	C₂²	semidirect
75. #16840794	C₂²	semidirect
76. #16840793	C₂²	semidirect
77. #16840793	C₂²	semidirect
78. #16840793	C₂²	semidirect
79. #16840793	C₂²	semidirect
80. #16840793	C₂²	semidirect
81. #16840793	C₂²	semidirect
82. #16840793	C₂²	semidirect
83. #16840793	C₂²	semidirect
84. #16840793	C₂²	semidirect
85. #16840793	C₂²	semidirect
90. #16840792	C₂²	semidirect
91. #16840792	C₂²	semidirect
92. #16840792	C₂²	semidirect
93. #16840792	C₂²	semidirect
94. #16840792	C₂²	semidirect
95. #16840792	C₂²	semidirect
96. #16840792	C₂²	semidirect
97. #16840792	C₂²	semidirect
98. #16840792	C₂²	semidirect
99. #16840792	C₂²	semidirect
100. #16840792	C₂²	semidirect
101. #16840792	C₂²	semidirect
102. #16840791	C₂²	semidirect
103. #16840791	C₂²	semidirect
104. #16840791	C₂²	semidirect
105. #16840791	C₂²	semidirect
106. #16840791	C₂²	semidirect
107. #16840791	C₂²	semidirect
108. #16840790	C₂²	semidirect
109. #16840790	C₂²	semidirect
110. #16840789	C₂²	semidirect
111. #16840789	C₂²	semidirect
112. #16840789	C₂²	semidirect
113. #16840789	C₂²	semidirect
114. #16840789	C₂²	semidirect
115. #16840789	C₂²	semidirect
116. #16840789	C₂²	semidirect
117. #16840789	C₂²	semidirect
118. #16840787	C₂²	semidirect
119. #16840787	C₂²	semidirect
120. #16840787	C₂²	semidirect
121. #16840787	C₂²	semidirect
122. #16840786	C₂²	semidirect
123. #16840786	C₂²	semidirect
124. #16840786	C₂²	semidirect
125. #16840786	C₂²	semidirect
126. #16840785	C₂²	semidirect
127. #16840785	C₂²	semidirect
128. #16840784	C₂²	semidirect
129. #16840782	C₂²	semidirect
130. #16840782	C₂²	semidirect
131. #16840782	C₂²	semidirect
132. #16840781	C₂²	semidirect
133. #16840780	C₂²	semidirect
134. #16840780	C₂²	semidirect
135. #16840779	C₂²	semidirect
136. #16840769	C₂²	semidirect
137. #16840769	C₂²	semidirect
138. #16840768	C₂²	semidirect
139. #16840768	C₂²	semidirect
140. #16840767	C₂²	semidirect
141. #16840767	C₂²	semidirect
142. #16840765	C₂²	semidirect
143. C₂×#14519844	C₂²	semidirect
144. D₆₁⋊(C₄⋊C₈)	C₂²	semidirect
145. #16840736	C₂²	semidirect
146. #16840736	C₂²	semidirect
147. #16840735	C₂²	semidirect
148. #16840735	C₂²	semidirect
149. #16840735	C₂²	semidirect
150. #16840735	C₂²	semidirect
151. #16840734	C₂²	semidirect
152. #16840734	C₂²	semidirect
153. #16840734	C₂²	semidirect
154. #16840733	C₂²	semidirect
155. #16840733	C₂²	semidirect
156. #16840733	C₂²	semidirect
157. #16840733	C₂²	semidirect
158. #16840733	C₂²	semidirect
159. C₂×#14519834	C₂²	semidirect
160. D₆₁⋊(C₂²⋊C₈)	C₂²	semidirect
161. D₆₁⋊(C₂²⋊C₈)	C₂²	semidirect
162. D₆₁⋊(C₂²⋊C₈)	C₂²	semidirect
163. #16840727	C₂²	semidirect
164. #16840727	C₂²	semidirect
165. #16840726	C₂²	semidirect
166. #16840726	C₂²	semidirect
167. C₄×#11758213	C₂²	semidirect
168. C₄×#11758213	C₂²	semidirect
169. C₄×#11758217	C₂²	semidirect
170. C₄×#11758217	C₂²	semidirect
171. C₄×D₆₁⋊C₈	C₂²	semidirect
1106. C₆₁	#60324	semidirect

Maximal subgroups

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

subgroup	index
#21462777	2
#21462772	2
#21462768	2
#21462763	2
#21462748	2
#21462739	2
#21462707	2
#21462697	2
#21462696	2
#21462688	2
#21462687	2
#21462682	2
#21462676	2
#21462674	2
#21462671	2
#21462664	2
#21462654	2
#21462643	2
#21462638	2
#21462637	2
#21462630	2
#21462563	2
#21462559	2
#21462558	2
#21462553	2
#21462550	2
#21462540	2
#21462537	2
D₆₁⋊#436	2
#21459426	2
#60324	61