Subgroups — #12989684

Order 1280.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618850	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618656	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3384	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615376	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615295	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613720	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613712	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613696	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613695	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613634	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613629	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612910	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612903	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612885	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612881	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612800	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612786	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612784	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612783	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612779	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612775	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612691	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612683	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611705	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611697	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611617	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611600	C₂	1	1	yes	maximal, characteristic
28	#10611585	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611584	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611325	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611300	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#554	C₂²	1	1	yes	characteristic
33	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
34	#66150	—	2	1	no	—
35	Q₈×C₂²⋊D₅	—	2	1	no	—
36	#66067	C₂²	1	1	yes	characteristic
37	#66067	C₂²	1	1	yes	characteristic
38	#66063	C₂²	1	1	yes	characteristic
39	#66062	C₂²	1	1	yes	characteristic
40	#66061	C₂²	1	1	yes	characteristic
41	#66061	C₂²	1	1	yes	characteristic, complemented
42	#66056	C₂²	1	1	yes	characteristic, complemented
43	#66056	C₂²	1	1	yes	characteristic, complemented
44	#66024	C₂²	1	1	yes	characteristic
45	#66024	C₂²	1	1	yes	characteristic
46	#66023	C₂²	1	1	yes	characteristic
47	#66022	C₂²	1	1	yes	characteristic
48	#65980	—	2	1	no	—
49	#65980	—	2	1	no	—
50	#65975	—	2	1	no	—
51	#65974	—	2	1	no	—
52	#65974	—	2	1	no	—
53	#65970	—	2	1	no	—
54	#65970	—	2	1	no	—
55	#65968	—	2	1	no	—
56	#65968	—	2	1	no	—
57	#65966	—	2	1	no	—
58	#65962	—	2	1	no	—
59	D₅×C₂²⋊Q₈	—	2	1	no	—
60	#65918	C₂²	1	1	yes	characteristic, complemented
61	#65913	C₂²	1	1	yes	characteristic
62	#65912	C₂²	1	1	yes	characteristic
63	#65895	C₂²	1	1	yes	characteristic
64	#65895	C₂²	1	1	yes	characteristic
65	#65893	C₂²	1	1	yes	characteristic, complemented
66	#65893	C₂²	1	1	yes	characteristic, complemented
67	#65882	C₂²	1	1	yes	characteristic
68	#65879	C₂²	1	1	yes	characteristic
69	#65879	C₂²	1	1	yes	characteristic
70	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
71	#65876	C₂²	1	1	yes	characteristic, complemented
72	#65873	C₂²	1	1	yes	characteristic
73	#65873	C₂²	1	1	yes	characteristic
74	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
75	#65845	—	2	1	no	—
76	C₂×#4042	—	2	1	no	—
77	C₅×#501	C₂²	1	1	yes	characteristic, complemented
78	C₅×#501	C₂²	1	1	yes	characteristic, complemented
79	C₅×#498	C₂²	1	1	yes	characteristic, complemented
80	C₅×#478	C₂²	1	1	yes	characteristic, complemented
81	C₅×#478	C₂²	1	1	yes	characteristic, complemented
82	C₅×#476	C₂²	1	1	yes	characteristic
83	C₅×#476	C₂²	1	1	yes	characteristic
84	C₅×#476	C₂²	1	1	yes	characteristic, complemented
85	C₅×#474	C₂²	1	1	yes	characteristic
86	C₅×#446	C₂²	1	1	yes	characteristic, complemented
87	C₅×#442	C₂²	1	1	yes	characteristic
88	C₅×#442	C₂²	1	1	yes	characteristic
89	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
90	#65445	C₂²	1	1	yes	characteristic
91	#65442	C₂²	1	1	yes	characteristic
92	#65442	C₂²	1	1	yes	characteristic
93	#65439	C₂²	1	1	yes	characteristic
94	#65383	C₂²	1	1	yes	characteristic, complemented
95	#65378	C₂²	1	1	yes	characteristic, complemented
96	#65376	C₂²	1	1	yes	characteristic
97	#65373	C₂²	1	1	yes	characteristic
98	#65373	C₂²	1	1	yes	characteristic
99	#65369	C₂²	1	1	yes	characteristic, complemented
100	#65369	C₂²	1	1	yes	characteristic, complemented
101	#65368	C₂²	1	1	yes	characteristic, complemented
102	#65358	C₂²	1	1	yes	characteristic, complemented
103	#65357	C₂²	1	1	yes	characteristic, complemented
104	#65355	C₂²	1	1	yes	characteristic, complemented
105	#65352	C₂²	1	1	yes	characteristic, complemented
106	#65313	C₂²	1	1	yes	characteristic, complemented
107	#65308	C₂²	1	1	yes	characteristic
108	#65307	C₂²	1	1	yes	characteristic
109	C₄×#687	C₂²	1	1	yes	characteristic
110	#65305	C₂²	1	1	yes	characteristic
111	#65305	C₂²	1	1	yes	characteristic
112	#65303	C₂²	1	1	yes	characteristic
113	#65303	C₂²	1	1	yes	characteristic
114	#65303	C₂²	1	1	yes	characteristic
115	C₄×#686	C₂²	1	1	yes	characteristic
116	#65298	C₂²	1	1	yes	characteristic, complemented
117	#65298	C₂²	1	1	yes	characteristic, complemented
118	#65297	C₂²	1	1	yes	characteristic, complemented
119	#65180	C₂²	1	1	yes	characteristic, complemented
120	#65179	C₂²	1	1	yes	characteristic
121	#65178	C₂²	1	1	yes	characteristic
122	#65177	C₂²	1	1	yes	characteristic
123	#65177	C₂²	1	1	yes	characteristic
124	#65174	C₂²	1	1	yes	characteristic
125	#65166	C₂²	1	1	yes	characteristic, complemented
126	#65165	C₂²	1	1	yes	characteristic, complemented
127	#65164	C₂²	1	1	yes	characteristic, complemented
128	#65164	C₂²	1	1	yes	characteristic, complemented
129	#65163	C₂²	1	1	yes	characteristic, complemented
130	#65161	C₂²	1	1	yes	characteristic
131	#65160	C₂²	1	1	yes	characteristic, complemented
132	#65159	C₂²	1	1	yes	characteristic
133	#65159	C₂²	1	1	yes	characteristic
134	#65159	C₂²	1	1	yes	characteristic, complemented
135	#65159	C₂²	1	1	yes	characteristic, complemented
136	#65158	C₂²	1	1	yes	characteristic
137	#65156	C₂²	1	1	yes	characteristic
138	#65156	C₂²	1	1	yes	characteristic
139	#65155	C₂²	1	1	yes	characteristic
140	#65152	C₂²	1	1	yes	characteristic
141	#65151	C₂²	1	1	yes	characteristic
142	#65151	C₂²	1	1	yes	characteristic
143	#65146	C₂²	1	1	yes	characteristic, complemented
144	#65145	C₂²	1	1	yes	characteristic, complemented
145	#65144	C₂²	1	1	yes	characteristic, complemented
146	#65144	C₂²	1	1	yes	characteristic, complemented
147	#65144	C₂²	1	1	yes	characteristic, complemented
148	#65143	C₂²	1	1	yes	characteristic, complemented
149	#65143	C₂²	1	1	yes	characteristic, complemented
150	#65143	C₂²	1	1	yes	characteristic, complemented
151	#65143	C₂²	1	1	yes	characteristic, complemented
152	#65141	C₂²	1	1	yes	characteristic
153	#65141	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic
155	#65140	C₂²	1	1	yes	characteristic, complemented
156	#65136	C₂²	1	1	yes	characteristic, complemented
157	#65133	C₂²	1	1	yes	characteristic
158	#65133	C₂²	1	1	yes	characteristic
159	#65130	C₂²	1	1	yes	characteristic
160	#65129	C₂²	1	1	yes	characteristic
161	#65129	C₂²	1	1	yes	characteristic
162	#65122	C₂²	1	1	yes	characteristic
163	#65119	C₂²	1	1	yes	characteristic, complemented
164	#65118	C₂²	1	1	yes	characteristic, complemented
165	#65117	C₂²	1	1	yes	characteristic, complemented
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65076	C₂²	1	1	yes	characteristic
168	#65076	C₂²	1	1	yes	characteristic
169	#65075	C₂²	1	1	yes	characteristic
170	#65074	C₂²	1	1	yes	characteristic
171	#65073	C₂²	1	1	yes	characteristic
172	#65068	C₂²	1	1	yes	characteristic
173	#65066	C₂²	1	1	yes	characteristic
174	#65065	C₂²	1	1	yes	characteristic
175	#65065	C₂²	1	1	yes	characteristic
176	#65062	C₂²	1	1	yes	characteristic
177	#65057	C₂²	1	1	yes	characteristic, complemented
178	#65057	C₂²	1	1	yes	characteristic, complemented
179	#65054	C₂²	1	1	yes	characteristic, complemented
180	#65054	C₂²	1	1	yes	characteristic, complemented
181	#65050	C₂²	1	1	yes	characteristic
182	#65050	C₂²	1	1	yes	characteristic
183	#65049	C₂²	1	1	yes	characteristic, complemented
184	#65049	C₂²	1	1	yes	characteristic, complemented
185	#65048	C₂²	1	1	yes	characteristic
186	#65047	C₂²	1	1	yes	characteristic
187	#65047	C₂²	1	1	yes	characteristic
188	#65047	C₂²	1	1	yes	characteristic
189	#65046	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65003	C₂²	1	1	yes	characteristic, complemented
192	#65000	C₂²	1	1	yes	characteristic
193	#64999	C₂²	1	1	yes	characteristic
194	#64998	C₂²	1	1	yes	characteristic
195	#64994	C₂²	1	1	yes	characteristic
196	#64992	C₂²	1	1	yes	characteristic, complemented
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic
201	#64979	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61850	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	—	2	1	no	—
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×Q₈×D₅	—	2	1	no	—
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×#709	—	2	1	no	—
209	C₂²×C₄×D₅	—	2	1	no	—
210	C₂²×Dic₁₀	—	2	1	no	—
211	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
212	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#125	C₂³	1	1	yes	characteristic
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×C₂²⋊Q₈	—	2	1	no	—
219	C₅×C₂²⋊Q₈	—	2	1	no	—
220	C₅×C₂²⋊Q₈	—	2	1	no	—
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
226	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
227	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₄⋊C₄	—	2	1	no	—
232	#4093	—	2	1	no	—
233	#4093	—	2	1	no	—
234	#4092	—	2	1	no	—
235	#4092	—	2	1	no	—
236	#4092	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	—	2	1	no	—
242	#4092	D₄	1	1	yes	characteristic
243	Q₈×Dic₅	—	2	1	no	—
244	#4090	—	2	1	no	—
245	#4090	—	2	1	no	—
246	#4090	—	2	1	no	—
247	#4090	—	2	1	no	—
248	#4090	—	2	1	no	—
249	#4090	D₄	1	1	yes	characteristic
250	#4086	C₂³	1	1	yes	characteristic
251	#4084	C₂³	1	1	yes	characteristic
252	#4082	C₂³	1	1	yes	characteristic
253	#4082	C₂³	1	1	yes	characteristic
254	D₄×Dic₅	C₂³	1	1	yes	characteristic
255	D₄×Dic₅	C₂³	1	1	yes	characteristic
256	D₄×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×#687	C₂³	1	1	yes	characteristic
258	C₂×#687	C₂³	1	1	yes	characteristic
259	C₂×#686	C₂³	1	1	yes	characteristic
260	C₂×#686	C₂³	1	1	yes	characteristic
261	#4075	—	2	1	no	—
262	#4075	—	2	1	no	—
263	#4075	—	2	1	no	—
264	#4075	—	2	1	no	—
265	C₄×C₂²⋊D₅	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₂×#685	—	2	1	no	—
272	C₂×#685	—	2	1	no	—
273	#4072	—	2	1	no	—
274	#4070	—	2	1	no	—
275	#4070	—	2	1	no	—
276	#4070	—	2	1	no	—
277	#4070	—	2	1	no	—
278	#4070	—	2	1	no	—
279	#4070	—	2	1	no	—
280	C₂×#683	—	2	1	no	—
281	C₂×#683	—	2	1	no	—
282	C₂×D₄₀	C₂³	1	1	yes	characteristic
283	C₂×#677	C₂³	1	1	yes	characteristic
284	C₂×#677	C₂³	1	1	yes	characteristic
285	#4044	—	2	1	no	—
286	#4044	—	2	1	no	—
287	#4044	—	2	1	no	—
288	#4044	—	2	1	no	—
289	#4043	—	2	1	no	—
290	#4043	—	2	1	no	—
291	#4043	—	2	1	no	—
292	#4043	D₄	1	1	yes	characteristic
293	#4043	C₂³	1	1	yes	characteristic
294	#4043	C₂³	1	1	yes	characteristic
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	—	2	1	no	—
301	#4042	—	2	1	no	—
302	#4042	—	2	1	no	—
303	#4042	—	2	1	no	—
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4042	—	2	1	no	—
308	#4042	—	2	1	no	—
309	#4042	D₄	1	1	yes	characteristic
310	#4042	D₄	1	1	yes	characteristic
311	#4041	C₂³	1	1	yes	characteristic
312	#4040	—	2	1	no	—
313	#4040	—	2	1	no	—
314	#4039	C₂³	1	1	yes	characteristic
315	#4039	C₂³	1	1	yes	characteristic
316	#4039	C₂³	1	1	yes	characteristic
317	#4039	C₂³	1	1	yes	characteristic
318	#4039	C₂³	1	1	yes	characteristic
319	#4038	—	2	1	no	—
320	#4038	—	2	1	no	—
321	#4038	C₂³	1	1	yes	characteristic
322	#4038	C₂³	1	1	yes	characteristic
323	D₅×C₄⋊C₄	—	2	1	no	—
324	D₅×C₄⋊C₄	—	2	1	no	—
325	D₅×C₄⋊C₄	—	2	1	no	—
326	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	#4036	—	2	1	no	—
328	#4036	C₂³	1	1	yes	characteristic
329	#4036	C₂³	1	1	yes	characteristic
330	#4035	—	2	1	no	—
331	#4035	—	2	1	no	—
332	#4035	D₄	1	1	yes	characteristic
333	#4035	D₄	1	1	yes	characteristic
334	#4034	—	2	1	no	—
335	#4034	—	2	1	no	—
336	#4034	—	2	1	no	—
337	#4034	D₄	1	1	yes	characteristic
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4034	C₂³	1	1	yes	characteristic
341	#4034	C₂³	1	1	yes	characteristic
342	#4034	C₂³	1	1	yes	characteristic
343	#4034	C₂³	1	1	yes	characteristic
344	#4034	C₂³	1	1	yes	characteristic
345	#4033	—	2	1	no	—
346	#4033	—	2	1	no	—
347	#4033	—	2	1	no	—
348	#4033	—	2	1	no	—
349	#4033	C₂³	1	1	yes	characteristic
350	#4033	C₂³	1	1	yes	characteristic
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4031	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4029	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	D₅×C₂²⋊C₄	—	2	1	no	—
365	D₅×C₂²⋊C₄	—	2	1	no	—
366	D₅×C₂²⋊C₄	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4025	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4021	C₂³	1	1	yes	characteristic
378	#4021	C₂³	1	1	yes	characteristic
379	C₄×D₂₀	C₂³	1	1	yes	characteristic
380	C₄×D₂₀	C₂³	1	1	yes	characteristic
381	C₄×D₂₀	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	#4018	C₂³	1	1	yes	characteristic
384	#4018	C₂³	1	1	yes	characteristic
385	C₄²×D₅	C₂³	1	1	yes	characteristic
386	#4016	C₂³	1	1	yes	characteristic
387	#4016	C₂³	1	1	yes	characteristic
388	#4015	C₂³	1	1	yes	characteristic
389	#4015	C₂³	1	1	yes	characteristic
390	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
391	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
392	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
395	C₅×#107	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#107	C₂³	1	1	yes	characteristic
398	C₅×#106	C₂³	1	1	yes	characteristic
399	C₅×#106	C₂³	1	1	yes	characteristic
400	C₅×#106	C₂³	1	1	yes	characteristic
401	C₅×#106	C₂³	1	1	yes	characteristic
402	C₅×#106	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×#102	C₂³	1	1	yes	characteristic
408	C₅×#102	C₂³	1	1	yes	characteristic
409	C₅×#102	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#97	C₂³	1	1	yes	characteristic
414	C₅×#97	C₂³	1	1	yes	characteristic
415	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
416	#3964	C₂³	1	1	yes	characteristic
417	#3964	C₂³	1	1	yes	characteristic
418	#3964	C₂³	1	1	yes	characteristic
419	#3964	C₂³	1	1	yes	characteristic
420	#3953	C₂³	1	1	yes	characteristic
421	#3953	C₂³	1	1	yes	characteristic
422	#3953	C₂³	1	1	yes	characteristic
423	#3953	C₂³	1	1	yes	characteristic
424	#3952	C₂³	1	1	yes	characteristic
425	#3952	C₂³	1	1	yes	characteristic
426	#3952	C₂³	1	1	yes	characteristic
427	#3952	C₂³	1	1	yes	characteristic
428	#3950	C₂³	1	1	yes	characteristic
429	#3949	C₂³	1	1	yes	characteristic
430	#3949	C₂³	1	1	yes	characteristic
431	#3948	C₂³	1	1	yes	characteristic
432	#3948	C₂³	1	1	yes	characteristic
433	#3948	C₂³	1	1	yes	characteristic
434	#3948	C₂³	1	1	yes	characteristic
435	#3948	C₂³	1	1	yes	characteristic
436	#3948	C₂³	1	1	yes	characteristic
437	#3947	C₂³	1	1	yes	characteristic
438	#3947	C₂³	1	1	yes	characteristic
439	#3946	C₂³	1	1	yes	characteristic
440	#3946	C₂³	1	1	yes	characteristic
441	#3946	C₂³	1	1	yes	characteristic
442	#3946	C₂³	1	1	yes	characteristic
443	#3946	C₂³	1	1	yes	characteristic
444	#3946	C₂³	1	1	yes	characteristic
445	C₈×Dic₅	C₂³	1	1	yes	characteristic
446	C₈×Dic₅	C₂³	1	1	yes	characteristic
447	C₈×Dic₅	C₂³	1	1	yes	characteristic
448	C₈×Dic₅	C₂³	1	1	yes	characteristic
449	#3942	C₂³	1	1	yes	characteristic
450	#3942	C₂³	1	1	yes	characteristic
451	#3942	C₂³	1	1	yes	characteristic
452	#3942	C₂³	1	1	yes	characteristic
453	#3942	C₂³	1	1	yes	characteristic
454	#3942	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3941	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3940	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	C₄⋊#168	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3550	—	5	1	no	—
480	#3501	—	5	1	no	—
481	#3385	—	5	1	no	—
482	#3385	—	5	1	no	—
483	#3384	—	5	1	no	—
484	#3384	—	5	1	no	—
485	#3384	—	5	1	no	—
486	#3384	D₅	1	1	yes	characteristic, complemented
487	Q₈×SD₁₆	—	5	1	no	—
488	Q₈×SD₁₆	—	5	1	no	—
489	#3376	—	5	1	no	—
490	#3376	—	5	1	no	—
491	#3376	—	5	1	no	—
492	#3376	—	5	1	no	—
493	#3373	—	5	1	no	—
494	#3373	—	5	1	no	—
495	#3361	—	5	1	no	—
496	#3361	—	5	1	no	—
497	#3244	—	5	1	no	—
498	#3244	—	5	1	no	—
499	#3244	—	5	1	no	—
500	#3244	—	5	1	no	—
501	#3237	—	5	1	no	—
502	#3228	—	5	1	no	—
503	#3118	—	5	1	no	—
504	#3118	—	5	1	no	—
505	#3118	—	5	1	no	—
506	#3118	—	5	1	no	—
507	#3109	—	5	1	no	—
508	#3101	—	5	1	no	—
509	#2985	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂×C₅×Q₈	—	2	1	no	—
512	C₂×C₅×Q₈	—	2	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	—	8	2	no	—
516	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂²×Dic₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	Q₈×D₅	—	8	2	no	—
533	Q₈×D₅	—	8	2	no	—
534	D₄×D₅	—	2	2	no	—
535	D₄×D₅	—	2	2	no	—
536	#709	—	8	2	no	—
537	C₂×D₂₀	—	2	1	no	—
538	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
539	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
540	C₂×C₄×D₅	—	2	1	no	—
541	C₂×C₄×D₅	—	2	1	no	—
542	C₂×C₄×D₅	—	2	1	no	—
543	C₂×C₄×D₅	—	2	1	no	—
544	C₂×C₄×D₅	—	2	1	no	—
545	C₂×C₄×D₅	—	2	1	no	—
546	C₂×C₄×D₅	—	2	1	no	—
547	C₂×C₄×D₅	—	2	1	no	—
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	8	2	no	—
551	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
554	C₂×Dic₁₀	—	2	1	no	—
555	C₂×Dic₁₀	—	2	1	no	—
556	C₂×Dic₁₀	—	2	1	no	—
557	C₂×Dic₁₀	—	2	1	no	—
558	C₂×Dic₁₀	—	2	1	no	—
559	C₂×Dic₁₀	—	2	1	no	—
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	8	2	no	—
563	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
564	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
565	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
568	C₅×D₈	—	2	2	no	—
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₅×C₂²⋊C₄	—	2	1	no	—
591	C₅×C₂²⋊C₄	—	2	1	no	—
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₄²×C₅	C₂⁴	1	1	yes	characteristic
597	C₄²×C₅	C₂⁴	1	1	yes	characteristic
598	C₄²×C₅	C₂⁴	1	1	yes	characteristic
599	C₂²⋊Dic₅	—	2	1	no	—
600	C₂²⋊Dic₅	—	2	1	no	—
601	C₂²⋊Dic₅	—	2	1	no	—
602	C₂²⋊Dic₅	—	2	1	no	—
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	#687	—	2	2	no	—
608	#687	—	2	2	no	—
609	#686	—	2	2	no	—
610	#686	—	2	2	no	—
611	#685	—	2	1	no	—
612	#685	—	2	1	no	—
613	#685	—	2	1	no	—
614	#685	—	2	1	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	C₂×D₄	1	1	yes	characteristic
630	#685	C₂×D₄	1	1	yes	characteristic
631	#685	C₂×D₄	1	1	yes	characteristic
632	#685	C₂×D₄	1	1	yes	characteristic
633	C₄⋊Dic₅	—	2	1	no	—
634	C₄⋊Dic₅	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	—	2	1	no	—
639	C₄⋊Dic₅	—	2	1	no	—
640	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
643	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
644	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
645	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
646	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
647	#683	—	2	1	no	—
648	#683	—	2	1	no	—
649	#683	—	2	1	no	—
650	#683	—	2	1	no	—
651	#683	—	2	1	no	—
652	#683	—	2	1	no	—
653	#683	—	2	1	no	—
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	C₂×D₄	1	1	yes	characteristic
668	#683	C₂×D₄	1	1	yes	characteristic
669	#683	C₂×D₄	1	1	yes	characteristic
670	#683	C₂×D₄	1	1	yes	characteristic
671	#683	C₂×D₄	1	1	yes	characteristic
672	#683	C₂×D₄	1	1	yes	characteristic
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	#683	C₂×D₄	1	1	yes	characteristic
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
690	C₂×#168	C₂⁴	1	1	yes	characteristic
691	C₂×#168	C₂⁴	1	1	yes	characteristic
692	C₂×#168	C₂⁴	1	1	yes	characteristic
693	C₂×#168	C₂⁴	1	1	yes	characteristic
694	D₄₀	—	2	2	no	—
695	#677	—	2	2	no	—
696	#677	—	2	2	no	—
697	#563	—	10	1	no	—
698	#563	—	10	1	no	—
699	#559	—	5	1	no	—
700	#559	—	5	1	no	—
701	Q₈²	—	5	1	no	—
702	Q₈²	—	5	1	no	—
703	#556	—	5	1	no	—
704	#556	—	5	1	no	—
705	#556	—	10	1	no	—
706	#554	—	5	1	no	—
707	#554	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	10	1	no	—
712	#554	—	10	1	no	—
713	#554	—	10	1	no	—
714	#554	C₂×D₅	1	1	yes	characteristic
715	D₄×Q₈	—	5	1	no	—
716	D₄×Q₈	—	5	1	no	—
717	D₄×Q₈	—	5	1	no	—
718	D₄×Q₈	—	10	1	no	—
719	D₄×Q₈	—	10	1	no	—
720	D₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
721	#544	—	5	1	no	—
722	#544	—	5	1	no	—
723	#543	—	10	1	no	—
724	#543	—	10	1	no	—
725	#542	—	5	1	no	—
726	#542	—	5	1	no	—
727	#542	—	5	1	no	—
728	#542	—	5	1	no	—
729	#542	—	10	1	no	—
730	#542	—	10	1	no	—
731	#536	—	10	1	no	—
732	#536	—	10	1	no	—
733	#533	—	5	1	no	—
734	#533	—	5	1	no	—
735	#533	—	5	1	no	—
736	#532	—	5	1	no	—
737	C₂×C₂²⋊Q₈	—	10	1	no	—
738	C₂×C₂²⋊Q₈	—	10	1	no	—
739	#518	—	5	1	no	—
740	#518	—	5	1	no	—
741	C₂×C₄×D₄	—	5	1	no	—
742	#501	—	5	1	no	—
743	#501	—	5	1	no	—
744	#501	—	5	1	no	—
745	#501	—	5	1	no	—
746	#501	C₂×D₅	1	1	yes	characteristic, complemented
747	#501	C₂×D₅	1	1	yes	characteristic, complemented
748	#500	—	5	1	no	—
749	#498	—	5	1	no	—
750	#498	—	5	1	no	—
751	#498	—	5	1	no	—
752	#498	—	5	1	no	—
753	#498	C₂×D₅	1	1	yes	characteristic, complemented
754	#491	—	5	1	no	—
755	#491	—	5	1	no	—
756	#489	—	5	1	no	—
757	#489	—	5	1	no	—
758	#489	—	5	1	no	—
759	#489	—	5	1	no	—
760	#488	—	5	1	no	—
761	#488	—	5	1	no	—
762	#488	—	5	1	no	—
763	#488	—	5	1	no	—
764	#486	—	5	1	no	—
765	#486	—	5	1	no	—
766	#485	—	5	1	no	—
767	#485	—	5	1	no	—
768	#485	—	5	1	no	—
769	#485	—	5	1	no	—
770	#483	—	5	1	no	—
771	#483	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	—	5	1	no	—
776	#481	—	5	1	no	—
777	#481	—	5	1	no	—
778	#479	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#478	—	5	1	no	—
783	#478	—	5	1	no	—
784	#478	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	C₂×D₅	1	1	yes	characteristic, complemented
789	#478	C₂×D₅	1	1	yes	characteristic, complemented
790	#477	—	5	1	no	—
791	#477	—	5	1	no	—
792	#476	—	5	1	no	—
793	#476	—	5	1	no	—
794	#476	—	5	1	no	—
795	#476	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	C₂×D₅	1	1	yes	characteristic
802	#476	C₂×D₅	1	1	yes	characteristic
803	#476	C₂×D₅	1	1	yes	characteristic, complemented
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	—	5	1	no	—
809	#475	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	C₂×D₅	1	1	yes	characteristic
814	#463	—	5	1	no	—
815	#463	—	5	1	no	—
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#461	—	5	1	no	—
823	#461	—	5	1	no	—
824	#459	—	5	1	no	—
825	#459	—	5	1	no	—
826	#450	—	5	1	no	—
827	#450	—	5	1	no	—
828	#447	—	5	1	no	—
829	#447	—	5	1	no	—
830	#446	—	5	1	no	—
831	#446	—	5	1	no	—
832	#446	—	5	1	no	—
833	#446	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	C₂×D₅	1	1	yes	characteristic, complemented
836	C₈×Q₈	—	5	1	no	—
837	C₈×Q₈	—	5	1	no	—
838	#442	—	5	1	no	—
839	#442	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	C₂×D₅	1	1	yes	characteristic
845	#442	C₂×D₅	1	1	yes	characteristic
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	—	5	1	no	—
854	C₄×SD₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×D₈	—	5	1	no	—
859	C₄×D₈	—	5	1	no	—
860	C₄×D₈	—	5	1	no	—
861	C₄×D₈	C₂×D₅	1	1	yes	characteristic
862	#433	—	5	1	no	—
863	#433	—	5	1	no	—
864	#433	—	5	1	no	—
865	#433	—	5	1	no	—
866	#432	—	5	1	no	—
867	#431	—	5	1	no	—
868	C₂³×C₅	—	2	1	no	—
869	C₂³×C₅	—	2	1	no	—
870	C₂²×D₅	—	2	1	no	—
871	C₂²×D₅	—	2	4	no	—
872	C₂²×D₅	—	2	1	no	—
873	C₂²×D₅	—	8	1	no	—
874	C₂²×D₅	—	8	1	no	—
875	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
876	C₅×Q₈	—	4	1	no	—
877	C₅×Q₈	—	4	2	no	—
878	C₅×Q₈	—	8	1	no	—
879	C₅×Q₈	—	8	1	no	—
880	C₅×Q₈	—	8	1	no	—
881	C₅×D₄	—	2	1	no	—
882	C₅×D₄	—	2	1	no	—
883	C₅×D₄	—	2	1	no	—
884	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
885	C₂×C₄×C₅	—	2	1	no	—
886	C₂×C₄×C₅	—	2	1	no	—
887	C₂×C₄×C₅	—	2	1	no	—
888	C₂×C₄×C₅	—	2	1	no	—
889	C₂×C₄×C₅	—	2	1	no	—
890	C₂×C₄×C₅	—	2	1	no	—
891	C₂×C₄×C₅	—	4	2	no	—
892	C₂×C₄×C₅	—	8	1	no	—
893	C₂×C₄×C₅	—	8	1	no	—
894	C₂×C₄×C₅	—	8	1	no	—
895	C₂×C₄×C₅	—	8	1	no	—
896	C₂×C₄×C₅	—	8	1	no	—
897	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
899	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
904	C₂²⋊D₅	—	2	4	no	—
905	C₂²⋊D₅	—	4	2	no	—
906	C₂²⋊D₅	—	8	1	no	—
907	C₂²⋊D₅	—	8	1	no	—
908	C₂×Dic₅	—	2	1	no	—
909	C₂×Dic₅	—	2	1	no	—
910	C₂×Dic₅	—	2	1	no	—
911	C₂×Dic₅	—	2	1	no	—
912	C₂×Dic₅	—	2	1	no	—
913	C₂×Dic₅	—	2	1	no	—
914	C₂×Dic₅	—	4	2	no	—
915	C₂×Dic₅	—	8	1	no	—
916	C₂×Dic₅	—	8	1	no	—
917	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
922	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
924	D₂₀	—	2	1	no	—
925	D₂₀	—	2	1	no	—
926	D₂₀	—	2	1	no	—
927	D₂₀	—	8	1	no	—
928	D₂₀	2₋¹⁺⁴	1	2	yes	—
929	C₄×D₅	—	2	1	no	—
930	C₄×D₅	—	2	1	no	—
931	C₄×D₅	—	2	2	no	—
932	C₄×D₅	—	4	1	no	—
933	C₄×D₅	—	4	2	no	—
934	C₄×D₅	—	4	2	no	—
935	C₄×D₅	—	8	1	no	—
936	C₄×D₅	—	8	1	no	—
937	C₄×D₅	—	8	1	no	—
938	C₄×D₅	—	8	1	no	—
939	C₄×D₅	—	8	1	no	—
940	C₄×D₅	—	8	1	no	—
941	C₄×D₅	—	8	1	no	—
942	C₄×D₅	—	8	1	no	—
943	Dic₁₀	—	2	2	no	—
944	Dic₁₀	—	2	2	no	—
945	Dic₁₀	—	2	1	no	—
946	Dic₁₀	—	2	1	no	—
947	Dic₁₀	—	2	1	no	—
948	Dic₁₀	—	2	1	no	—
949	Dic₁₀	—	4	1	no	—
950	Dic₁₀	—	4	2	no	—
951	Dic₁₀	—	8	1	no	—
952	Dic₁₀	—	8	1	no	—
953	Dic₁₀	—	8	1	no	—
954	Dic₁₀	—	8	1	no	—
955	Dic₁₀	—	8	1	no	—
956	Dic₁₀	—	8	1	no	—
957	Dic₁₀	—	8	1	no	—
958	C₅×C₈	—	2	1	no	—
959	C₅×C₈	—	2	1	no	—
960	C₅×C₈	—	2	1	no	—
961	C₅×C₈	—	2	1	no	—
962	#168	—	2	1	no	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	C₂×#41	—	10	1	no	—
967	C₂²×Q₈	—	2	1	no	—
968	C₂²×Q₈	—	10	1	no	—
969	C₂²×Q₈	—	10	1	no	—
970	C₂²×Q₈	—	10	1	no	—
971	C₂²×D₄	—	5	1	no	—
972	C₂³×C₄	—	10	1	no	—
973	C₂×SD₁₆	—	5	1	no	—
974	C₂×SD₁₆	—	5	1	no	—
975	C₂×SD₁₆	—	5	1	no	—
976	C₂×SD₁₆	—	5	1	no	—
977	C₂×D₈	—	5	1	no	—
978	C₂×D₈	—	5	1	no	—
979	C₂×D₈	—	5	1	no	—
980	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
981	C₄⋊Q₈	—	5	1	no	—
982	C₄⋊Q₈	—	5	1	no	—
983	C₄⋊Q₈	—	5	1	no	—
984	C₄⋊Q₈	—	5	1	no	—
985	C₄⋊Q₈	—	5	1	no	—
986	C₄⋊Q₈	—	5	1	no	—
987	C₄⋊Q₈	—	5	1	no	—
988	C₄⋊Q₈	—	5	1	no	—
989	C₄⋊Q₈	—	5	1	no	—
990	C₄⋊Q₈	—	5	1	no	—
991	C₄⋊Q₈	—	5	1	no	—
992	C₄⋊Q₈	—	10	1	no	—
993	C₄⋊Q₈	—	10	1	no	—
994	C₄⋊Q₈	—	10	1	no	—
995	C₄⋊Q₈	—	10	1	no	—
996	C₄⋊Q₈	—	10	1	no	—
997	C₄⋊Q₈	—	10	1	no	—
998	C₄⋊Q₈	—	10	1	no	—
999	C₄⋊Q₈	—	10	1	no	—
1000	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1001	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1002	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1003	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1004	#127	—	5	1	no	—
1005	#126	—	10	1	no	—
1006	#126	—	10	1	no	—
1007	#126	—	10	1	no	—
1008	#126	—	10	1	no	—
1009	#126	—	10	1	no	—
1010	#126	—	10	1	no	—
1011	#126	—	10	1	no	—
1012	#126	—	10	1	no	—
1013	#125	—	5	1	no	—
1014	#125	—	5	1	no	—
1015	#125	—	5	1	no	—
1016	#125	—	5	1	no	—
1017	#125	—	5	1	no	—
1018	#125	—	5	1	no	—
1019	#125	—	10	1	no	—
1020	#125	—	10	1	no	—
1021	#125	—	10	1	no	—
1022	#125	C₂²×D₅	1	1	yes	characteristic
1023	#125	C₂²×D₅	1	1	yes	characteristic
1024	#124	—	5	1	no	—
1025	#124	—	5	1	no	—
1026	#124	—	5	1	no	—
1027	#124	—	5	1	no	—
1028	#124	—	10	1	no	—
1029	#124	—	10	1	no	—
1030	#124	—	10	1	no	—
1031	#124	—	10	1	no	—
1032	#124	—	10	1	no	—
1033	#124	—	10	1	no	—
1034	#124	—	10	1	no	—
1035	#123	—	10	1	no	—
1036	#123	—	10	1	no	—
1037	#123	—	10	1	no	—
1038	#123	—	10	1	no	—
1039	#123	—	10	1	no	—
1040	#123	—	10	1	no	—
1041	#123	—	10	1	no	—
1042	#123	—	10	1	no	—
1043	C₂²⋊Q₈	—	2	1	no	—
1044	C₂²⋊Q₈	—	2	1	no	—
1045	C₂²⋊Q₈	—	2	1	no	—
1046	C₂²⋊Q₈	—	2	1	no	—
1047	C₂²⋊Q₈	—	2	1	no	—
1048	C₂²⋊Q₈	—	2	1	no	—
1049	C₂²⋊Q₈	—	5	1	no	—
1050	C₂²⋊Q₈	—	5	1	no	—
1051	C₂²⋊Q₈	—	5	1	no	—
1052	C₂²⋊Q₈	—	5	1	no	—
1053	C₂²⋊Q₈	—	5	1	no	—
1054	C₂²⋊Q₈	—	5	1	no	—
1055	C₂²⋊Q₈	—	10	1	no	—
1056	C₂²⋊Q₈	—	10	1	no	—
1057	C₂²⋊Q₈	—	10	1	no	—
1058	C₂²⋊Q₈	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	#121	—	5	1	no	—
1093	#121	—	5	1	no	—
1094	#121	—	10	1	no	—
1095	C₄×Q₈	—	5	1	no	—
1096	C₄×Q₈	—	5	1	no	—
1097	C₄×Q₈	—	5	1	no	—
1098	C₄×Q₈	—	5	1	no	—
1099	C₄×Q₈	—	5	1	no	—
1100	C₄×Q₈	—	5	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	10	1	no	—
1105	C₄×Q₈	—	10	1	no	—
1106	C₄×Q₈	—	10	1	no	—
1107	C₄×Q₈	—	10	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1110	C₄×D₄	—	5	1	no	—
1111	C₄×D₄	—	5	1	no	—
1112	C₄×D₄	—	5	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	5	1	no	—
1115	C₄×D₄	—	5	1	no	—
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	5	1	no	—
1118	C₄×D₄	—	5	1	no	—
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	10	1	no	—
1123	C₄×D₄	—	10	1	no	—
1124	C₄×D₄	—	10	1	no	—
1125	C₄×D₄	—	10	1	no	—
1126	C₄×D₄	—	10	1	no	—
1127	C₄×D₄	—	10	1	no	—
1128	C₄×D₄	—	10	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1132	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1133	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1134	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1135	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1136	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1137	#117	—	5	1	no	—
1138	#117	—	5	1	no	—
1139	#117	—	5	1	no	—
1140	#117	—	5	1	no	—
1141	#117	—	10	1	no	—
1142	#117	—	10	1	no	—
1143	#117	—	10	1	no	—
1144	C₂×C₄⋊C₄	—	2	1	no	—
1145	C₂×C₄⋊C₄	—	5	1	no	—
1146	C₂×C₄⋊C₄	—	10	1	no	—
1147	C₂×C₄⋊C₄	—	10	1	no	—
1148	C₂×C₄⋊C₄	—	10	1	no	—
1149	C₂×C₄⋊C₄	—	10	1	no	—
1150	C₂×C₄⋊C₄	—	10	1	no	—
1151	C₂×C₂²⋊C₄	—	10	1	no	—
1152	C₂×C₂²⋊C₄	—	10	1	no	—
1153	C₂×C₂²⋊C₄	—	10	1	no	—
1154	C₂×C₂²⋊C₄	—	10	1	no	—
1155	C₂×C₂²⋊C₄	—	10	1	no	—
1156	C₂×C₄²	—	5	1	no	—
1157	#107	—	5	1	no	—
1158	#107	—	5	1	no	—
1159	#107	—	5	1	no	—
1160	#107	—	5	1	no	—
1161	#107	—	5	1	no	—
1162	#107	C₂²×D₅	1	1	yes	characteristic
1163	#107	C₂²×D₅	1	1	yes	characteristic
1164	#107	C₂²×D₅	1	1	yes	characteristic
1165	#106	—	5	1	no	—
1166	#106	—	5	1	no	—
1167	#106	—	5	1	no	—
1168	#106	—	5	1	no	—
1169	#106	—	5	1	no	—
1170	#106	—	5	1	no	—
1171	#106	—	5	1	no	—
1172	#106	—	5	1	no	—
1173	#106	—	5	1	no	—
1174	#106	—	5	1	no	—
1175	#106	C₂²×D₅	1	1	yes	characteristic
1176	#106	C₂²×D₅	1	1	yes	characteristic
1177	#106	C₂²×D₅	1	1	yes	characteristic
1178	#106	C₂²×D₅	1	1	yes	characteristic
1179	#106	C₂²×D₅	1	1	yes	characteristic
1180	#106	C₂²×D₅	1	1	yes	characteristic
1181	C₄⋊C₈	—	5	1	no	—
1182	C₄⋊C₈	—	5	1	no	—
1183	C₄⋊C₈	—	5	1	no	—
1184	C₄⋊C₈	—	5	1	no	—
1185	C₄⋊C₈	—	5	1	no	—
1186	C₄⋊C₈	—	5	1	no	—
1187	C₄⋊C₈	—	5	1	no	—
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1191	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1193	#103	—	5	1	no	—
1194	#103	—	5	1	no	—
1195	#103	—	5	1	no	—
1196	#103	—	5	1	no	—
1197	#103	—	5	1	no	—
1198	#103	—	5	1	no	—
1199	#103	—	5	1	no	—
1200	#103	—	5	1	no	—
1201	#103	—	5	1	no	—
1202	#103	—	5	1	no	—
1203	#103	—	5	1	no	—
1204	#103	—	5	1	no	—
1205	#102	—	5	1	no	—
1206	#102	—	5	1	no	—
1207	#102	—	5	1	no	—
1208	#102	—	5	1	no	—
1209	#102	—	5	1	no	—
1210	#102	—	5	1	no	—
1211	#102	—	5	1	no	—
1212	#102	—	5	1	no	—
1213	#102	—	5	1	no	—
1214	#102	—	5	1	no	—
1215	#102	—	5	1	no	—
1216	#102	—	5	1	no	—
1217	#102	—	5	1	no	—
1218	#102	—	5	1	no	—
1219	#102	C₂²×D₅	1	1	yes	characteristic
1220	#102	C₂²×D₅	1	1	yes	characteristic
1221	#102	C₂²×D₅	1	1	yes	characteristic
1222	#102	C₂²×D₅	1	1	yes	characteristic
1223	#102	C₂²×D₅	1	1	yes	characteristic
1224	#102	C₂²×D₅	1	1	yes	characteristic
1225	C₂²⋊C₈	—	5	1	no	—
1226	C₂²⋊C₈	—	5	1	no	—
1227	C₂²⋊C₈	—	5	1	no	—
1228	C₂²⋊C₈	—	5	1	no	—
1229	#97	—	5	1	no	—
1230	#97	—	5	1	no	—
1231	#97	—	5	1	no	—
1232	#97	—	5	1	no	—
1233	#97	C₂²×D₅	1	1	yes	characteristic
1234	#97	C₂²×D₅	1	1	yes	characteristic
1235	C₄×C₈	—	5	1	no	—
1236	C₄×C₈	—	5	1	no	—
1237	C₄×C₈	—	5	1	no	—
1238	C₄×C₈	—	5	1	no	—
1239	C₄×C₈	—	5	1	no	—
1240	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1241	C₂²×C₅	—	2	2	no	—
1242	C₂²×C₅	—	4	1	no	—
1243	C₂²×C₅	—	4	1	no	—
1244	C₂²×C₅	—	4	1	no	—
1245	C₂²×C₅	—	4	1	no	—
1246	C₂²×C₅	—	4	1	no	—
1247	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1248	C₂×D₅	—	2	1	no	—
1249	C₂×D₅	—	2	1	no	—
1250	C₂×D₅	—	2	2	no	—
1251	C₂×D₅	—	2	1	no	—
1252	C₂×D₅	—	4	1	no	—
1253	C₂×D₅	—	4	1	no	—
1254	C₂×D₅	—	4	1	no	—
1255	C₂×D₅	—	4	1	no	—
1256	C₂×D₅	—	4	1	no	—
1257	C₂×D₅	—	8	4	no	—
1258	C₄×C₅	—	2	1	no	—
1259	C₄×C₅	—	2	1	no	—
1260	C₄×C₅	—	2	1	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	1	no	—
1263	C₄×C₅	—	2	1	no	—
1264	C₄×C₅	—	4	1	no	—
1265	C₄×C₅	—	4	1	no	—
1266	C₄×C₅	—	4	1	no	—
1267	C₄×C₅	—	4	1	no	—
1268	C₄×C₅	—	4	1	no	—
1269	C₄×C₅	—	4	1	no	—
1270	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1271	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1272	Dic₅	—	2	1	no	—
1273	Dic₅	—	2	1	no	—
1274	Dic₅	—	2	1	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	2	1	no	—
1277	Dic₅	—	2	1	no	—
1278	Dic₅	—	4	1	no	—
1279	Dic₅	—	4	1	no	—
1280	Dic₅	—	4	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	—	4	1	no	—
1284	Dic₅	#577	1	2	yes	—
1285	C₂⁴	—	10	1	no	—
1286	#41	—	40	2	no	—
1287	C₂×Q₈	—	2	1	no	—
1288	C₂×Q₈	—	2	1	no	—
1289	C₂×Q₈	—	2	1	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	5	1	no	—
1292	C₂×Q₈	—	5	1	no	—
1293	C₂×Q₈	—	5	1	no	—
1294	C₂×Q₈	—	5	1	no	—
1295	C₂×Q₈	—	5	1	no	—
1296	C₂×Q₈	—	8	2	no	—
1297	C₂×Q₈	—	10	1	no	—
1298	C₂×Q₈	—	10	1	no	—
1299	C₂×Q₈	—	10	1	no	—
1300	C₂×Q₈	—	10	1	no	—
1301	C₂×Q₈	—	10	1	no	—
1302	C₂×Q₈	—	10	1	no	—
1303	C₂×Q₈	—	10	1	no	—
1304	C₂×Q₈	—	10	1	no	—
1305	C₂×Q₈	—	40	2	no	—
1306	C₂×Q₈	—	40	2	no	—
1307	C₂×Q₈	—	40	2	no	—
1308	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1309	C₂×D₄	—	5	1	no	—
1310	C₂×D₄	—	5	1	no	—
1311	C₂×D₄	—	10	1	no	—
1312	C₂×D₄	—	10	1	no	—
1313	C₂×D₄	—	10	1	no	—
1314	C₂×D₄	—	10	1	no	—
1315	C₂×D₄	—	10	2	no	—
1316	C₂×D₄	—	10	2	no	—
1317	C₂×D₄	—	10	1	no	—
1318	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1319	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	2	1	no	—
1325	C₂²×C₄	—	2	1	no	—
1326	C₂²×C₄	—	5	1	no	—
1327	C₂²×C₄	—	5	1	no	—
1328	C₂²×C₄	—	5	1	no	—
1329	C₂²×C₄	—	10	1	no	—
1330	C₂²×C₄	—	10	1	no	—
1331	C₂²×C₄	—	10	1	no	—
1332	C₂²×C₄	—	10	1	no	—
1333	C₂²×C₄	—	10	1	no	—
1334	C₂²×C₄	—	10	1	no	—
1335	C₂²×C₄	—	10	1	no	—
1336	C₂²×C₄	—	10	1	no	—
1337	C₂²×C₄	—	10	1	no	—
1338	C₂²×C₄	—	10	1	no	—
1339	C₂²×C₄	—	10	1	no	—
1340	C₂²×C₄	—	10	1	no	—
1341	C₂²×C₄	—	10	1	no	—
1342	C₂²×C₄	—	40	2	no	—
1343	SD₁₆	—	10	2	no	—
1344	SD₁₆	—	10	2	no	—
1345	SD₁₆	—	10	2	no	—
1346	SD₁₆	—	10	2	no	—
1347	D₈	—	2	2	no	—
1348	D₈	—	10	2	no	—
1349	D₈	—	10	2	no	—
1350	D₈	—	10	2	no	—
1351	C₂×C₈	—	5	1	no	—
1352	C₂×C₈	—	5	1	no	—
1353	C₂×C₈	—	5	1	no	—
1354	C₂×C₈	—	5	1	no	—
1355	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	5	1	no	—
1368	C₄⋊C₄	—	5	1	no	—
1369	C₄⋊C₄	—	5	1	no	—
1370	C₄⋊C₄	—	5	1	no	—
1371	C₄⋊C₄	—	5	1	no	—
1372	C₄⋊C₄	—	5	1	no	—
1373	C₄⋊C₄	—	5	1	no	—
1374	C₄⋊C₄	—	5	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	5	1	no	—
1378	C₄⋊C₄	—	5	1	no	—
1379	C₄⋊C₄	—	5	1	no	—
1380	C₄⋊C₄	—	5	1	no	—
1381	C₄⋊C₄	—	5	1	no	—
1382	C₄⋊C₄	—	5	1	no	—
1383	C₄⋊C₄	—	5	1	no	—
1384	C₄⋊C₄	—	10	1	no	—
1385	C₄⋊C₄	—	10	1	no	—
1386	C₄⋊C₄	—	10	1	no	—
1387	C₄⋊C₄	—	10	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1412	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1413	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1414	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1415	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1416	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1417	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1418	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1419	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	5	1	no	—
1427	C₂²⋊C₄	—	5	1	no	—
1428	C₂²⋊C₄	—	5	1	no	—
1429	C₂²⋊C₄	—	5	1	no	—
1430	C₂²⋊C₄	—	10	1	no	—
1431	C₂²⋊C₄	—	10	1	no	—
1432	C₂²⋊C₄	—	10	1	no	—
1433	C₂²⋊C₄	—	10	1	no	—
1434	C₂²⋊C₄	—	10	1	no	—
1435	C₂²⋊C₄	—	10	1	no	—
1436	C₂²⋊C₄	—	10	1	no	—
1437	C₂²⋊C₄	—	10	1	no	—
1438	C₂²⋊C₄	—	10	1	no	—
1439	C₂²⋊C₄	—	10	1	no	—
1440	C₂²⋊C₄	—	10	1	no	—
1441	C₂²⋊C₄	—	10	1	no	—
1442	C₂²⋊C₄	—	10	1	no	—
1443	C₂²⋊C₄	—	10	1	no	—
1444	C₂²⋊C₄	—	10	1	no	—
1445	C₂²⋊C₄	—	10	1	no	—
1446	C₂²⋊C₄	—	10	1	no	—
1447	C₂²⋊C₄	—	10	1	no	—
1448	C₂²⋊C₄	—	10	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₂²⋊C₄	—	10	1	no	—
1456	C₄²	—	5	1	no	—
1457	C₄²	—	5	1	no	—
1458	C₄²	—	5	1	no	—
1459	C₄²	—	5	1	no	—
1460	C₄²	—	5	1	no	—
1461	C₄²	—	10	1	no	—
1462	C₄²	—	10	1	no	—
1463	C₄²	—	10	1	no	—
1464	C₄²	—	10	1	no	—
1465	C₄²	—	10	1	no	—
1466	C₄²	—	10	1	no	—
1467	C₄²	—	10	1	no	—
1468	C₄²	—	10	1	no	—
1469	C₄²	C₂³×D₅	1	1	yes	characteristic
1470	C₄²	C₂³×D₅	1	1	yes	characteristic
1471	C₄²	C₂³×D₅	1	1	yes	characteristic
1472	C₂×C₅	—	4	2	no	—
1473	C₂×C₅	—	8	1	no	—
1474	C₂×C₅	#3486	1	1	yes	characteristic
1475	C₂×C₅	C₂×#577	1	1	yes	characteristic
1476	C₂×C₅	#3585	1	1	yes	characteristic
1477	D₅	—	4	1	no	—
1478	D₅	—	4	2	no	—
1479	D₅	—	8	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	5	1	no	—
1483	C₂³	—	10	4	no	—
1484	C₂³	—	10	1	no	—
1485	C₂³	—	10	1	no	—
1486	C₂³	—	40	1	no	—
1487	C₂³	—	40	1	no	—
1488	Q₈	—	4	1	no	—
1489	Q₈	—	4	2	no	—
1490	Q₈	—	8	1	no	—
1491	Q₈	—	8	1	no	—
1492	Q₈	—	8	1	no	—
1493	Q₈	—	10	2	no	—
1494	Q₈	—	10	2	no	—
1495	Q₈	—	10	1	no	—
1496	Q₈	—	10	1	no	—
1497	Q₈	—	10	1	no	—
1498	Q₈	—	10	1	no	—
1499	Q₈	—	20	1	no	—
1500	Q₈	—	20	2	no	—
1501	Q₈	—	40	1	no	—
1502	Q₈	—	40	1	no	—
1503	Q₈	—	40	1	no	—
1504	Q₈	—	40	1	no	—
1505	Q₈	—	40	1	no	—
1506	Q₈	—	40	1	no	—
1507	Q₈	—	40	1	no	—
1508	D₄	—	2	1	no	—
1509	D₄	—	2	1	no	—
1510	D₄	—	2	1	no	—
1511	D₄	—	5	2	no	—
1512	D₄	—	10	4	no	—
1513	D₄	—	10	1	no	—
1514	D₄	—	10	1	no	—
1515	D₄	—	10	1	no	—
1516	D₄	—	20	2	no	—
1517	D₄	—	40	1	no	—
1518	D₄	—	40	1	no	—
1519	D₄	—	40	1	no	—
1520	D₄	#4147	1	2	yes	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	4	2	no	—
1528	C₂×C₄	—	5	1	no	—
1529	C₂×C₄	—	5	1	no	—
1530	C₂×C₄	—	5	1	no	—
1531	C₂×C₄	—	5	1	no	—
1532	C₂×C₄	—	5	1	no	—
1533	C₂×C₄	—	5	1	no	—
1534	C₂×C₄	—	5	1	no	—
1535	C₂×C₄	—	8	1	no	—
1536	C₂×C₄	—	8	1	no	—
1537	C₂×C₄	—	8	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	8	1	no	—
1540	C₂×C₄	—	10	2	no	—
1541	C₂×C₄	—	10	1	no	—
1542	C₂×C₄	—	10	1	no	—
1543	C₂×C₄	—	10	1	no	—
1544	C₂×C₄	—	10	1	no	—
1545	C₂×C₄	—	10	1	no	—
1546	C₂×C₄	—	10	1	no	—
1547	C₂×C₄	—	10	1	no	—
1548	C₂×C₄	—	10	1	no	—
1549	C₂×C₄	—	20	1	no	—
1550	C₂×C₄	—	20	2	no	—
1551	C₂×C₄	—	20	2	no	—
1552	C₂×C₄	—	20	2	no	—
1553	C₂×C₄	—	40	1	no	—
1554	C₂×C₄	—	40	1	no	—
1555	C₂×C₄	—	40	1	no	—
1556	C₂×C₄	—	40	1	no	—
1557	C₂×C₄	—	40	1	no	—
1558	C₂×C₄	—	40	1	no	—
1559	C₂×C₄	—	40	1	no	—
1560	C₂×C₄	—	40	1	no	—
1561	C₂×C₄	—	40	1	no	—
1562	C₂×C₄	—	40	1	no	—
1563	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1564	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1565	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1566	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1567	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1568	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1569	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1570	C₈	—	2	1	no	—
1571	C₈	—	2	1	no	—
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	10	1	no	—
1575	C₈	—	10	1	no	—
1576	C₈	—	10	1	no	—
1577	C₈	—	10	1	no	—
1578	C₅	#61850	1	1	yes	characteristic, complemented, Sylow
1579	C₂²	—	2	2	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	10	1	no	—
1586	C₂²	—	10	2	no	—
1587	C₂²	—	10	1	no	—
1588	C₂²	—	10	1	no	—
1589	C₂²	—	20	1	no	—
1590	C₂²	—	20	1	no	—
1591	C₂²	—	20	1	no	—
1592	C₂²	—	20	1	no	—
1593	C₂²	—	20	1	no	—
1594	C₂²	—	40	4	no	—
1595	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	5	2	no	—
1609	C₄	—	10	1	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	10	1	no	—
1613	C₄	—	10	1	no	—
1614	C₄	—	10	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	—	20	1	no	—
1619	C₄	—	20	1	no	—
1620	C₄	—	20	1	no	—
1621	C₄	C₂×#4147	1	1	yes	characteristic
1622	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1623	C₂	—	4	2	no	—
1624	C₂	—	8	1	no	—
1625	C₂	—	20	1	no	—
1626	C₂	—	20	2	no	—
1627	C₂	—	40	1	no	—
1628	C₂	#10618660	1	1	yes	characteristic
1629	C₂	#10619093	1	1	yes	characteristic
1630	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3384	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10611600	C₂
hypercenter	#3384	D₅
hypocenter	C₅	#61850
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3384

Complements

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

N	H ≅ G/N	type
1. #10618850	C₂	semidirect
2. #10618656	C₂	semidirect
3. C₅×#3384	C₂	semidirect
4. #10615376	C₂	semidirect
5. #10615295	C₂	semidirect
6. #10613720	C₂	semidirect
7. #10613712	C₂	semidirect
8. #10613696	C₂	semidirect
9. #10613695	C₂	semidirect
10. #10613634	C₂	semidirect
11. #10613629	C₂	semidirect
12. #10612910	C₂	semidirect
13. #10612903	C₂	semidirect
14. #10612885	C₂	semidirect
15. #10612881	C₂	semidirect
16. #10612800	C₂	semidirect
17. #10612786	C₂	semidirect
18. #10612784	C₂	semidirect
19. #10612783	C₂	semidirect
20. #10612779	C₂	semidirect
21. #10612775	C₂	semidirect
22. #10612691	C₂	semidirect
23. #10612683	C₂	semidirect
24. #10611705	C₂	semidirect
25. #10611697	C₂	semidirect
26. #10611617	C₂	semidirect
28. #10611585	C₂	semidirect
29. #10611584	C₂	semidirect
30. #10611325	C₂	semidirect
31. #10611300	C₂	semidirect
33. C₅×D₄×Q₈	C₂²	semidirect
41. #66061	C₂²	semidirect
42. #66056	C₂²	semidirect
43. #66056	C₂²	semidirect
60. #65918	C₂²	semidirect
65. #65893	C₂²	semidirect
66. #65893	C₂²	semidirect
71. #65876	C₂²	semidirect
77. C₅×#501	C₂²	semidirect
78. C₅×#501	C₂²	semidirect
79. C₅×#498	C₂²	semidirect
80. C₅×#478	C₂²	semidirect
81. C₅×#478	C₂²	semidirect
84. C₅×#476	C₂²	semidirect
86. C₅×#446	C₂²	semidirect
94. #65383	C₂²	semidirect
95. #65378	C₂²	semidirect
99. #65369	C₂²	semidirect
100. #65369	C₂²	semidirect
101. #65368	C₂²	semidirect
102. #65358	C₂²	semidirect
103. #65357	C₂²	semidirect
104. #65355	C₂²	semidirect
105. #65352	C₂²	semidirect
106. #65313	C₂²	semidirect
116. #65298	C₂²	semidirect
117. #65298	C₂²	semidirect
118. #65297	C₂²	semidirect
119. #65180	C₂²	semidirect
125. #65166	C₂²	semidirect
126. #65165	C₂²	semidirect
127. #65164	C₂²	semidirect
128. #65164	C₂²	semidirect
129. #65163	C₂²	semidirect
131. #65160	C₂²	semidirect
134. #65159	C₂²	semidirect
135. #65159	C₂²	semidirect
143. #65146	C₂²	semidirect
144. #65145	C₂²	semidirect
145. #65144	C₂²	semidirect
146. #65144	C₂²	semidirect
147. #65144	C₂²	semidirect
148. #65143	C₂²	semidirect
149. #65143	C₂²	semidirect
150. #65143	C₂²	semidirect
151. #65143	C₂²	semidirect
155. #65140	C₂²	semidirect
156. #65136	C₂²	semidirect
163. #65119	C₂²	semidirect
164. #65118	C₂²	semidirect
165. #65117	C₂²	semidirect
166. #65117	C₂²	semidirect
177. #65057	C₂²	semidirect
178. #65057	C₂²	semidirect
179. #65054	C₂²	semidirect
180. #65054	C₂²	semidirect
183. #65049	C₂²	semidirect
184. #65049	C₂²	semidirect
191. #65003	C₂²	semidirect
196. #64992	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
199. #64986	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
486. #3384	D₅	semidirect
720. D₄×Q₈	C₂×D₅	semidirect
746. #501	C₂×D₅	semidirect
747. #501	C₂×D₅	semidirect
753. #498	C₂×D₅	semidirect
788. #478	C₂×D₅	semidirect
789. #478	C₂×D₅	semidirect
803. #476	C₂×D₅	semidirect
835. #446	C₂×D₅	semidirect
1578. C₅	#61850	semidirect

Maximal subgroups

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

subgroup	index
#10618850	2
#10618656	2
C₅×#3384	2
#10615376	2
#10615295	2
#10613720	2
#10613712	2
#10613696	2
#10613695	2
#10613634	2
#10613629	2
#10612910	2
#10612903	2
#10612885	2
#10612881	2
#10612800	2
#10612786	2
#10612784	2
#10612783	2
#10612779	2
#10612775	2
#10612691	2
#10612683	2
#10611705	2
#10611697	2
#10611617	2
#10611600	2
#10611585	2
#10611584	2
#10611325	2
#10611300	2
#61850	5