Subgroups — #12996146

Order 1280.

1648 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3515	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618044	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615430	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615423	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615364	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615363	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615356	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615355	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615326	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615325	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615322	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615321	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615244	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615244	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615243	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615243	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615242	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615241	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615180	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615180	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615173	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615173	C₂	1	1	yes	maximal, characteristic, complemented
23	#10615095	C₂	1	1	yes	maximal, characteristic, complemented
24	#10615058	C₂	1	1	yes	maximal, characteristic, complemented
25	#10614861	C₂	1	1	yes	maximal, characteristic, complemented
26	#10614307	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614300	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614291	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614290	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614261	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614238	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic
33	C₅×#554	C₂²	1	1	yes	characteristic
34	C₅×#554	C₂²	1	1	yes	characteristic
35	C₅×#553	—	2	1	no	—
36	C₅×#552	—	2	1	no	—
37	C₅×#552	—	2	1	no	—
38	C₅×#552	—	2	1	no	—
39	C₅×#552	C₂²	1	1	yes	characteristic
40	C₅×#552	C₂²	1	1	yes	characteristic
41	C₅×#547	C₂²	1	1	yes	characteristic
42	C₅×#547	C₂²	1	1	yes	characteristic
43	C₅×#547	C₂²	1	1	yes	characteristic
44	C₅×#541	C₂²	1	1	yes	characteristic
45	C₅×#541	C₂²	1	1	yes	characteristic
46	C₅×#539	—	2	1	no	—
47	C₅×#539	—	2	1	no	—
48	C₅×#533	C₂²	1	1	yes	characteristic
49	C₅×#529	—	2	1	no	—
50	C₅×#529	C₂²	1	1	yes	characteristic
51	C₂×C₅×#125	—	2	1	no	—
52	C₅×#520	C₂²	1	1	yes	characteristic
53	C₅×#520	C₂²	1	1	yes	characteristic
54	C₄×C₅×#41	C₂²	1	1	yes	characteristic
55	#66042	—	2	1	no	—
56	#66036	—	2	1	no	—
57	#66030	—	2	1	no	—
58	#66003	—	2	1	no	—
59	#65996	—	2	1	no	—
60	#65994	—	2	1	no	—
61	#65980	—	2	1	no	—
62	#65955	—	2	1	no	—
63	#65913	C₂²	1	1	yes	characteristic
64	#65901	C₂²	1	1	yes	characteristic
65	#65899	C₂²	1	1	yes	characteristic
66	#65899	C₂²	1	1	yes	characteristic
67	#65897	C₂²	1	1	yes	characteristic
68	#65876	C₂²	1	1	yes	characteristic
69	#65875	C₂²	1	1	yes	characteristic
70	#65875	C₂²	1	1	yes	characteristic
71	#65868	C₂²	1	1	yes	characteristic
72	#65868	C₂²	1	1	yes	characteristic
73	#65853	C₂²	1	1	yes	characteristic
74	#65853	C₂²	1	1	yes	characteristic
75	#65813	C₂²	1	1	yes	characteristic
76	#65804	C₂²	1	1	yes	characteristic
77	#65528	C₂²	1	1	yes	characteristic
78	#65528	C₂²	1	1	yes	characteristic
79	#65528	C₂²	1	1	yes	characteristic
80	#65527	C₂²	1	1	yes	characteristic
81	#65527	C₂²	1	1	yes	characteristic
82	#65527	C₂²	1	1	yes	characteristic
83	#65522	C₂²	1	1	yes	characteristic
84	#65522	C₂²	1	1	yes	characteristic
85	#65522	C₂²	1	1	yes	characteristic
86	#65522	C₂²	1	1	yes	characteristic
87	#65521	C₂²	1	1	yes	characteristic
88	#65521	C₂²	1	1	yes	characteristic
89	#65383	C₂²	1	1	yes	characteristic
90	#65379	C₂²	1	1	yes	characteristic
91	#65379	C₂²	1	1	yes	characteristic
92	#65379	C₂²	1	1	yes	characteristic
93	#65376	C₂²	1	1	yes	characteristic
94	#65372	C₂²	1	1	yes	characteristic
95	#65372	C₂²	1	1	yes	characteristic
96	#65372	C₂²	1	1	yes	characteristic
97	#65371	C₂²	1	1	yes	characteristic
98	#65371	C₂²	1	1	yes	characteristic
99	#65371	C₂²	1	1	yes	characteristic
100	#65371	C₂²	1	1	yes	characteristic
101	#65370	C₂²	1	1	yes	characteristic
102	#65370	C₂²	1	1	yes	characteristic
103	#65369	C₂²	1	1	yes	characteristic
104	#65369	C₂²	1	1	yes	characteristic
105	#65355	C₂²	1	1	yes	characteristic
106	#65355	C₂²	1	1	yes	characteristic
107	#65354	C₂²	1	1	yes	characteristic
108	#65354	C₂²	1	1	yes	characteristic
109	#65353	C₂²	1	1	yes	characteristic
110	#65353	C₂²	1	1	yes	characteristic
111	#65352	C₂²	1	1	yes	characteristic
112	#65352	C₂²	1	1	yes	characteristic
113	#65341	C₂²	1	1	yes	characteristic
114	#65341	C₂²	1	1	yes	characteristic
115	#65340	C₂²	1	1	yes	characteristic
116	#65340	C₂²	1	1	yes	characteristic
117	#65340	C₂²	1	1	yes	characteristic
118	#65340	C₂²	1	1	yes	characteristic
119	#65338	C₂²	1	1	yes	characteristic
120	#65338	C₂²	1	1	yes	characteristic
121	#65337	C₂²	1	1	yes	characteristic
122	#65337	C₂²	1	1	yes	characteristic
123	#65337	C₂²	1	1	yes	characteristic
124	#65337	C₂²	1	1	yes	characteristic
125	#65334	C₂²	1	1	yes	characteristic
126	#65334	C₂²	1	1	yes	characteristic
127	#65334	C₂²	1	1	yes	characteristic
128	#65334	C₂²	1	1	yes	characteristic
129	#65334	C₂²	1	1	yes	characteristic
130	#65334	C₂²	1	1	yes	characteristic
131	#65334	C₂²	1	1	yes	characteristic
132	#65334	C₂²	1	1	yes	characteristic
133	#65333	C₂²	1	1	yes	characteristic
134	#65333	C₂²	1	1	yes	characteristic
135	#65332	C₂²	1	1	yes	characteristic
136	#65332	C₂²	1	1	yes	characteristic
137	#65319	C₂²	1	1	yes	characteristic
138	#65319	C₂²	1	1	yes	characteristic
139	C₄×#689	C₂²	1	1	yes	characteristic
140	#65317	C₂²	1	1	yes	characteristic
141	#65317	C₂²	1	1	yes	characteristic
142	#65317	C₂²	1	1	yes	characteristic
143	#65315	C₂²	1	1	yes	characteristic
144	#65315	C₂²	1	1	yes	characteristic
145	C₄×#688	C₂²	1	1	yes	characteristic
146	#65313	C₂²	1	1	yes	characteristic
147	#65313	C₂²	1	1	yes	characteristic
148	#65311	C₂²	1	1	yes	characteristic
149	#65311	C₂²	1	1	yes	characteristic
150	#65311	C₂²	1	1	yes	characteristic
151	#65311	C₂²	1	1	yes	characteristic
152	#65311	C₂²	1	1	yes	characteristic
153	#65311	C₂²	1	1	yes	characteristic
154	#65311	C₂²	1	1	yes	characteristic
155	#65310	C₂²	1	1	yes	characteristic
156	#65310	C₂²	1	1	yes	characteristic
157	#65310	C₂²	1	1	yes	characteristic
158	#65310	C₂²	1	1	yes	characteristic
159	#65309	C₂²	1	1	yes	characteristic
160	#65309	C₂²	1	1	yes	characteristic
161	#65309	C₂²	1	1	yes	characteristic
162	#65309	C₂²	1	1	yes	characteristic
163	#65307	C₂²	1	1	yes	characteristic
164	#65307	C₂²	1	1	yes	characteristic
165	C₄×#687	C₂²	1	1	yes	characteristic
166	#65305	C₂²	1	1	yes	characteristic
167	#65303	C₂²	1	1	yes	characteristic
168	#65303	C₂²	1	1	yes	characteristic
169	C₄×#686	C₂²	1	1	yes	characteristic
170	#65300	C₂²	1	1	yes	characteristic
171	#65300	C₂²	1	1	yes	characteristic
172	#65300	C₂²	1	1	yes	characteristic
173	#65300	C₂²	1	1	yes	characteristic
174	D₄×#168	C₂²	1	1	yes	characteristic
175	D₄×#168	C₂²	1	1	yes	characteristic
176	#65298	C₂²	1	1	yes	characteristic
177	#65298	C₂²	1	1	yes	characteristic
178	#65298	C₂²	1	1	yes	characteristic
179	#65298	C₂²	1	1	yes	characteristic
180	#65298	C₂²	1	1	yes	characteristic
181	#65297	C₂²	1	1	yes	characteristic
182	#65297	C₂²	1	1	yes	characteristic
183	#65296	C₂²	1	1	yes	characteristic
184	#65296	C₂²	1	1	yes	characteristic
185	#65292	C₂²	1	1	yes	characteristic
186	#65289	C₂²	1	1	yes	characteristic
187	#65289	C₂²	1	1	yes	characteristic
188	#65288	C₂²	1	1	yes	characteristic
189	#65288	C₂²	1	1	yes	characteristic
190	#65287	C₂²	1	1	yes	characteristic
191	#65287	C₂²	1	1	yes	characteristic
192	#65285	C₂²	1	1	yes	characteristic
193	#65260	C₂²	1	1	yes	characteristic
194	#65259	C₂²	1	1	yes	characteristic
195	#65257	C₂²	1	1	yes	characteristic
196	#65256	C₂²	1	1	yes	characteristic
197	#65253	C₂²	1	1	yes	characteristic
198	#65253	C₂²	1	1	yes	characteristic
199	C₂×#3940	C₂²	1	1	yes	characteristic
200	C₂×#3939	C₂²	1	1	yes	characteristic
201	#65215	C₂²	1	1	yes	characteristic
202	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic
203	#62160	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×C₅×#41	C₂³	1	1	yes	characteristic
207	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
209	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
210	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₅×#126	—	2	1	no	—
212	C₅×#126	—	2	1	no	—
213	C₅×#126	—	2	1	no	—
214	C₅×#126	—	2	1	no	—
215	C₅×#126	—	2	1	no	—
216	C₅×#126	—	2	1	no	—
217	C₅×#126	D₄	1	1	yes	characteristic
218	C₅×#126	D₄	1	1	yes	characteristic
219	C₅×#125	—	2	1	no	—
220	C₅×#125	—	2	1	no	—
221	C₅×#125	—	2	1	no	—
222	C₅×#125	—	2	1	no	—
223	C₅×#125	—	2	1	no	—
224	C₅×#125	—	2	1	no	—
225	C₅×#125	—	2	1	no	—
226	C₅×#125	—	2	1	no	—
227	C₅×#125	—	2	1	no	—
228	C₅×#125	—	2	1	no	—
229	C₅×#125	—	2	1	no	—
230	C₅×#125	D₄	1	1	yes	characteristic
231	C₅×#125	C₂³	1	1	yes	characteristic
232	C₅×#125	C₂³	1	1	yes	characteristic
233	C₅×#124	D₄	1	1	yes	characteristic
234	C₅×#123	—	2	1	no	—
235	C₅×#123	—	2	1	no	—
236	C₅×#123	—	2	1	no	—
237	C₅×#123	—	2	1	no	—
238	C₅×#123	—	2	1	no	—
239	C₅×#123	—	2	1	no	—
240	C₅×#123	—	2	1	no	—
241	C₅×#123	—	2	1	no	—
242	C₅×#123	D₄	1	1	yes	characteristic
243	C₅×#123	D₄	1	1	yes	characteristic
244	C₅×C₂²⋊Q₈	—	2	1	no	—
245	C₅×C₂²⋊Q₈	—	2	1	no	—
246	C₅×C₂²⋊Q₈	—	2	1	no	—
247	C₅×C₂²⋊Q₈	—	2	1	no	—
248	C₅×C₂²⋊Q₈	—	2	1	no	—
249	C₅×C₂²⋊Q₈	—	2	1	no	—
250	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
251	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₅×#121	—	2	1	no	—
258	C₅×#121	—	2	1	no	—
259	C₅×#121	—	2	1	no	—
260	C₅×#121	D₄	1	1	yes	characteristic
261	C₄×C₅×Q₈	—	2	1	no	—
262	C₄×C₅×Q₈	—	2	1	no	—
263	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
264	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
265	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
266	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
267	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
268	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
269	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
270	C₄×C₅×D₄	—	2	1	no	—
271	C₄×C₅×D₄	—	2	1	no	—
272	C₄×C₅×D₄	—	2	1	no	—
273	C₄×C₅×D₄	—	2	1	no	—
274	C₄×C₅×D₄	—	2	1	no	—
275	C₄×C₅×D₄	—	2	1	no	—
276	C₄×C₅×D₄	—	2	1	no	—
277	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
278	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
279	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
280	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
281	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
282	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
283	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
284	C₅×#117	—	2	1	no	—
285	C₅×#117	—	2	1	no	—
286	C₅×#117	—	2	1	no	—
287	C₅×#117	—	2	1	no	—
288	C₅×#117	—	2	1	no	—
289	C₅×#117	—	2	1	no	—
290	C₅×#117	C₂³	1	1	yes	characteristic
291	C₅×#117	C₂³	1	1	yes	characteristic
292	C₅×#117	C₂³	1	1	yes	characteristic
293	C₂×C₅×C₄⋊C₄	—	2	1	no	—
294	C₂×C₅×C₄⋊C₄	—	2	1	no	—
295	C₂×C₅×C₄⋊C₄	—	2	1	no	—
296	C₂×C₅×C₄⋊C₄	—	2	1	no	—
297	C₂×C₅×C₄⋊C₄	—	2	1	no	—
298	C₂×C₅×C₄⋊C₄	—	2	1	no	—
299	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₅	—	2	1	no	—
302	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
303	#4092	—	2	1	no	—
304	#4090	—	2	1	no	—
305	C₂×#689	C₂³	1	1	yes	characteristic
306	C₂×#689	C₂³	1	1	yes	characteristic
307	C₂×#689	C₂³	1	1	yes	characteristic
308	C₂×#688	C₂³	1	1	yes	characteristic
309	C₂×#688	C₂³	1	1	yes	characteristic
310	C₂×#688	C₂³	1	1	yes	characteristic
311	#4085	—	2	1	no	—
312	#4085	—	2	1	no	—
313	#4084	—	2	1	no	—
314	#4082	—	2	1	no	—
315	#4081	—	2	1	no	—
316	#4081	—	2	1	no	—
317	C₂×#687	C₂³	1	1	yes	characteristic
318	C₂×#686	C₂³	1	1	yes	characteristic
319	#4076	C₂³	1	1	yes	characteristic
320	#4076	C₂³	1	1	yes	characteristic
321	#4076	C₂³	1	1	yes	characteristic
322	#4075	—	2	1	no	—
323	C₄×C₂²⋊D₅	—	2	1	no	—
324	#4072	C₂³	1	1	yes	characteristic
325	#4072	C₂³	1	1	yes	characteristic
326	#4072	C₂³	1	1	yes	characteristic
327	#4072	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
330	#4070	—	2	1	no	—
331	#4070	—	2	1	no	—
332	#4070	C₂³	1	1	yes	characteristic
333	#4070	C₂³	1	1	yes	characteristic
334	#4070	C₂³	1	1	yes	characteristic
335	C₂×#681	C₂³	1	1	yes	characteristic
336	C₂×#681	C₂³	1	1	yes	characteristic
337	C₂²×#168	C₂³	1	1	yes	characteristic
338	C₂²×#168	C₂³	1	1	yes	characteristic
339	C₂²×#168	C₂³	1	1	yes	characteristic
340	C₂²×#168	C₂³	1	1	yes	characteristic
341	#4044	—	2	1	no	—
342	#4044	—	2	1	no	—
343	#4044	—	2	1	no	—
344	#4044	—	2	1	no	—
345	#4042	—	2	1	no	—
346	#4042	—	2	1	no	—
347	#4042	—	2	1	no	—
348	#4042	—	2	1	no	—
349	#4038	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	#4036	—	2	1	no	—
352	#4036	—	2	1	no	—
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4035	—	2	1	no	—
356	#4035	—	2	1	no	—
357	#4034	—	2	1	no	—
358	#4034	—	2	1	no	—
359	#4033	—	2	1	no	—
360	#4033	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4031	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4029	—	2	1	no	—
366	#4029	—	2	1	no	—
367	#4029	—	2	1	no	—
368	#4029	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4025	—	2	1	no	—
372	#4025	—	2	1	no	—
373	#4025	—	2	1	no	—
374	#4025	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4023	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4022	—	2	1	no	—
382	#4021	C₂³	1	1	yes	characteristic
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	C₂³	1	1	yes	characteristic
386	#4018	—	2	1	no	—
387	#4016	C₂³	1	1	yes	characteristic
388	#4016	C₂³	1	1	yes	characteristic
389	#4016	C₂³	1	1	yes	characteristic
390	#4016	C₂³	1	1	yes	characteristic
391	#4016	C₂³	1	1	yes	characteristic
392	#4015	C₂³	1	1	yes	characteristic
393	#4015	C₂³	1	1	yes	characteristic
394	#4015	C₂³	1	1	yes	characteristic
395	#4015	C₂³	1	1	yes	characteristic
396	C₄×Dic₁₀	—	2	1	no	—
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	#3967	C₂³	1	1	yes	characteristic
402	#3967	C₂³	1	1	yes	characteristic
403	#3967	C₂³	1	1	yes	characteristic
404	#3967	C₂³	1	1	yes	characteristic
405	#3967	C₂³	1	1	yes	characteristic
406	#3967	C₂³	1	1	yes	characteristic
407	#3967	C₂³	1	1	yes	characteristic
408	#3967	C₂³	1	1	yes	characteristic
409	#3967	C₂³	1	1	yes	characteristic
410	#3967	C₂³	1	1	yes	characteristic
411	#3967	C₂³	1	1	yes	characteristic
412	#3967	C₂³	1	1	yes	characteristic
413	#3967	C₂³	1	1	yes	characteristic
414	#3967	C₂³	1	1	yes	characteristic
415	#3967	C₂³	1	1	yes	characteristic
416	#3967	C₂³	1	1	yes	characteristic
417	#3967	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3964	C₂³	1	1	yes	characteristic
420	#3964	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	C₂²⋊#168	C₂³	1	1	yes	characteristic
426	C₂²⋊#168	C₂³	1	1	yes	characteristic
427	C₂²⋊#168	C₂³	1	1	yes	characteristic
428	C₂²⋊#168	C₂³	1	1	yes	characteristic
429	C₂²⋊#168	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	#3942	C₂³	1	1	yes	characteristic
432	#3942	C₂³	1	1	yes	characteristic
433	#3942	C₂³	1	1	yes	characteristic
434	#3942	C₂³	1	1	yes	characteristic
435	#3941	C₂³	1	1	yes	characteristic
436	#3941	C₂³	1	1	yes	characteristic
437	#3941	C₂³	1	1	yes	characteristic
438	#3941	C₂³	1	1	yes	characteristic
439	#3940	C₂³	1	1	yes	characteristic
440	#3940	C₂³	1	1	yes	characteristic
441	#3940	C₂³	1	1	yes	characteristic
442	#3940	C₂³	1	1	yes	characteristic
443	#3940	C₂³	1	1	yes	characteristic
444	#3940	C₂³	1	1	yes	characteristic
445	#3940	C₂³	1	1	yes	characteristic
446	#3940	C₂³	1	1	yes	characteristic
447	#3940	C₂³	1	1	yes	characteristic
448	#3940	C₂³	1	1	yes	characteristic
449	#3940	C₂³	1	1	yes	characteristic
450	#3940	C₂³	1	1	yes	characteristic
451	#3939	C₂³	1	1	yes	characteristic
452	#3939	C₂³	1	1	yes	characteristic
453	#3939	C₂³	1	1	yes	characteristic
454	#3939	C₂³	1	1	yes	characteristic
455	#3939	C₂³	1	1	yes	characteristic
456	#3939	C₂³	1	1	yes	characteristic
457	#3939	C₂³	1	1	yes	characteristic
458	#3939	C₂³	1	1	yes	characteristic
459	#3939	C₂³	1	1	yes	characteristic
460	#3939	C₂³	1	1	yes	characteristic
461	#3939	C₂³	1	1	yes	characteristic
462	#3939	C₂³	1	1	yes	characteristic
463	C₄⋊#168	C₂³	1	1	yes	characteristic
464	C₄⋊#168	C₂³	1	1	yes	characteristic
465	C₄⋊#168	C₂³	1	1	yes	characteristic
466	C₄⋊#168	C₂³	1	1	yes	characteristic
467	C₄⋊#168	C₂³	1	1	yes	characteristic
468	C₄⋊#168	C₂³	1	1	yes	characteristic
469	C₄⋊#168	C₂³	1	1	yes	characteristic
470	C₄⋊#168	C₂³	1	1	yes	characteristic
471	C₄⋊#168	C₂³	1	1	yes	characteristic
472	C₄⋊#168	C₂³	1	1	yes	characteristic
473	#3935	C₂³	1	1	yes	characteristic
474	#3935	C₂³	1	1	yes	characteristic
475	#3935	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	C₄×#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3565	—	5	1	no	—
480	#3515	D₅	1	1	yes	characteristic, complemented
481	#3389	—	5	1	no	—
482	#3388	—	5	1	no	—
483	#3374	—	5	1	no	—
484	#3372	—	5	1	no	—
485	#3349	—	5	1	no	—
486	#3348	—	5	1	no	—
487	#3346	—	5	1	no	—
488	#3344	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3315	—	5	1	no	—
492	#3315	—	5	1	no	—
493	#3307	—	5	1	no	—
494	#3307	—	5	1	no	—
495	#3303	—	5	1	no	—
496	#3302	—	5	1	no	—
497	#3258	—	5	1	no	—
498	#3258	—	5	1	no	—
499	#3248	—	5	1	no	—
500	#3242	—	5	1	no	—
501	#3242	—	5	1	no	—
502	#3237	—	5	1	no	—
503	#3125	—	5	1	no	—
504	#3124	—	5	1	no	—
505	#3111	—	5	1	no	—
506	#3084	—	5	1	no	—
507	#3083	—	5	1	no	—
508	#3076	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₅×#41	—	2	2	no	—
511	C₅×#41	—	2	2	no	—
512	C₅×#41	—	2	2	no	—
513	C₅×#41	—	4	1	no	—
514	C₅×#41	—	4	1	no	—
515	C₅×#41	—	4	1	no	—
516	C₂×C₅×Q₈	—	2	1	no	—
517	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	—	2	1	no	—
533	C₂²×C₄×C₅	—	2	1	no	—
534	C₂²×C₄×C₅	—	2	1	no	—
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
538	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
539	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	—	2	1	no	—
547	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×Dic₁₀	—	2	1	no	—
552	C₂×Dic₁₀	—	2	1	no	—
553	C₂×Dic₁₀	—	2	1	no	—
554	C₂×Dic₁₀	—	2	1	no	—
555	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
556	C₅×C₄⋊C₄	—	2	1	no	—
557	C₅×C₄⋊C₄	—	2	1	no	—
558	C₅×C₄⋊C₄	—	2	1	no	—
559	C₅×C₄⋊C₄	—	2	1	no	—
560	C₅×C₄⋊C₄	—	2	1	no	—
561	C₅×C₄⋊C₄	—	2	1	no	—
562	C₅×C₄⋊C₄	—	2	1	no	—
563	C₅×C₄⋊C₄	—	2	1	no	—
564	C₅×C₄⋊C₄	—	2	1	no	—
565	C₅×C₄⋊C₄	—	2	1	no	—
566	C₅×C₄⋊C₄	—	2	1	no	—
567	C₅×C₄⋊C₄	—	2	1	no	—
568	C₅×C₄⋊C₄	—	2	1	no	—
569	C₅×C₄⋊C₄	—	2	1	no	—
570	C₅×C₄⋊C₄	—	2	1	no	—
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₄²×C₅	—	2	1	no	—
617	C₄²×C₅	—	2	1	no	—
618	C₄²×C₅	—	2	1	no	—
619	C₄²×C₅	—	2	1	no	—
620	C₄²×C₅	—	2	1	no	—
621	C₄²×C₅	—	2	1	no	—
622	C₄²×C₅	—	2	1	no	—
623	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
624	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
625	C₄²×C₅	C₂⁴	1	1	yes	characteristic
626	C₄²×C₅	C₂⁴	1	1	yes	characteristic
627	C₄²×C₅	C₂⁴	1	1	yes	characteristic
628	C₄²×C₅	C₂⁴	1	1	yes	characteristic
629	C₂²⋊Dic₅	—	2	1	no	—
630	C₂²⋊Dic₅	—	2	1	no	—
631	C₂²⋊Dic₅	—	2	1	no	—
632	C₂²⋊Dic₅	—	2	1	no	—
633	C₂²⋊Dic₅	—	2	1	no	—
634	C₂²⋊Dic₅	—	2	1	no	—
635	C₂²⋊Dic₅	—	2	1	no	—
636	#689	—	4	1	no	—
637	#689	—	4	1	no	—
638	#689	—	4	1	no	—
639	#688	—	4	1	no	—
640	#688	—	4	1	no	—
641	#688	—	4	1	no	—
642	#687	—	2	2	no	—
643	#686	—	2	2	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	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	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	#681	—	4	1	no	—
688	#681	—	4	1	no	—
689	C₂×#168	—	4	1	no	—
690	C₂×#168	—	4	1	no	—
691	C₂×#168	—	4	1	no	—
692	C₂×#168	—	4	1	no	—
693	C₂×#168	C₂⁴	1	1	yes	characteristic
694	C₂×#168	C₂⁴	1	1	yes	characteristic
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	#563	—	10	1	no	—
702	#562	—	10	1	no	—
703	#557	—	5	1	no	—
704	#557	C₂×D₅	1	1	yes	characteristic
705	#556	—	5	1	no	—
706	#556	—	10	1	no	—
707	#555	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	C₂×D₅	1	1	yes	characteristic
710	#554	C₂×D₅	1	1	yes	characteristic
711	#553	—	2	1	no	—
712	#553	—	5	1	no	—
713	#553	—	5	1	no	—
714	#552	—	2	1	no	—
715	#552	—	2	1	no	—
716	#552	—	2	1	no	—
717	#552	—	5	1	no	—
718	#552	—	5	1	no	—
719	#552	—	10	1	no	—
720	#552	C₂×D₅	1	1	yes	characteristic
721	#552	C₂×D₅	1	1	yes	characteristic
722	#547	C₂×D₅	1	1	yes	characteristic
723	#547	C₂×D₅	1	1	yes	characteristic
724	#547	C₂×D₅	1	1	yes	characteristic
725	#544	—	5	1	no	—
726	#544	—	5	1	no	—
727	#542	—	5	1	no	—
728	#542	—	5	1	no	—
729	#542	—	10	1	no	—
730	#542	—	10	1	no	—
731	#541	—	10	1	no	—
732	#541	C₂×D₅	1	1	yes	characteristic
733	#541	C₂×D₅	1	1	yes	characteristic
734	#539	—	2	1	no	—
735	#539	—	2	1	no	—
736	#539	—	10	1	no	—
737	#533	—	5	1	no	—
738	#533	C₂×D₅	1	1	yes	characteristic
739	#529	—	2	1	no	—
740	#529	—	5	1	no	—
741	#529	C₂×D₅	1	1	yes	characteristic
742	C₂×#125	—	2	1	no	—
743	#520	C₂×D₅	1	1	yes	characteristic
744	#520	C₂×D₅	1	1	yes	characteristic
745	C₄×#41	C₂×D₅	1	1	yes	characteristic
746	#501	—	5	1	no	—
747	#501	—	5	1	no	—
748	#501	—	5	1	no	—
749	#501	—	5	1	no	—
750	#499	—	5	1	no	—
751	#499	—	5	1	no	—
752	#491	—	5	1	no	—
753	#491	—	5	1	no	—
754	#491	—	5	1	no	—
755	#491	—	5	1	no	—
756	#487	—	5	1	no	—
757	#487	—	5	1	no	—
758	#485	—	5	1	no	—
759	#485	—	5	1	no	—
760	#485	—	5	1	no	—
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#485	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#485	—	5	1	no	—
767	#484	—	5	1	no	—
768	#484	—	5	1	no	—
769	#484	—	5	1	no	—
770	#483	—	5	1	no	—
771	#483	—	5	1	no	—
772	#483	—	5	1	no	—
773	#482	—	5	1	no	—
774	#481	—	5	1	no	—
775	#480	—	5	1	no	—
776	#479	—	5	1	no	—
777	#479	—	5	1	no	—
778	#479	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#477	—	5	1	no	—
793	#477	—	5	1	no	—
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#475	—	5	1	no	—
799	#475	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#470	—	5	1	no	—
807	#470	—	5	1	no	—
808	#468	—	5	1	no	—
809	#468	—	5	1	no	—
810	#467	—	5	1	no	—
811	#467	—	5	1	no	—
812	#467	—	5	1	no	—
813	#467	—	5	1	no	—
814	#465	—	5	1	no	—
815	#465	—	5	1	no	—
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	—	5	1	no	—
821	#463	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#462	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#449	—	5	1	no	—
832	#449	—	5	1	no	—
833	#449	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#442	—	5	1	no	—
837	#442	—	5	1	no	—
838	#441	—	5	1	no	—
839	#441	—	5	1	no	—
840	#440	—	5	1	no	—
841	#440	—	5	1	no	—
842	#440	—	5	1	no	—
843	#440	—	5	1	no	—
844	C₄×Q₁₆	—	5	1	no	—
845	C₄×SD₁₆	—	5	1	no	—
846	C₄×SD₁₆	—	5	1	no	—
847	C₄×D₈	—	5	1	no	—
848	#435	—	5	1	no	—
849	#435	—	5	1	no	—
850	#435	—	5	1	no	—
851	#435	—	5	1	no	—
852	C₈×D₄	—	5	1	no	—
853	C₈×D₄	—	5	1	no	—
854	#433	—	5	1	no	—
855	#433	—	5	1	no	—
856	#432	—	5	1	no	—
857	#428	—	5	1	no	—
858	#428	—	5	1	no	—
859	#427	—	5	1	no	—
860	#427	—	5	1	no	—
861	C₂×#107	—	5	1	no	—
862	C₂×#106	—	5	1	no	—
863	#424	—	5	1	no	—
864	#424	—	5	1	no	—
865	C₂×C₄⋊C₈	—	5	1	no	—
866	#417	—	5	1	no	—
867	#417	—	5	1	no	—
868	#416	—	5	1	no	—
869	#416	—	5	1	no	—
870	#416	—	5	1	no	—
871	#416	—	5	1	no	—
872	C₂³×C₅	—	2	1	no	—
873	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
874	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
875	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
876	C₂²×D₅	—	2	1	no	—
877	C₅×Q₈	—	2	1	no	—
878	C₅×Q₈	—	2	1	no	—
879	C₅×Q₈	—	2	1	no	—
880	C₅×Q₈	—	2	1	no	—
881	C₅×Q₈	—	2	1	no	—
882	C₅×Q₈	—	2	1	no	—
883	C₅×Q₈	—	4	1	no	—
884	C₅×Q₈	—	8	1	no	—
885	C₅×D₄	—	2	1	no	—
886	C₅×D₄	—	4	1	no	—
887	C₅×D₄	—	4	1	no	—
888	C₅×D₄	—	4	1	no	—
889	C₅×D₄	—	4	2	no	—
890	C₅×D₄	—	4	2	no	—
891	C₅×D₄	—	4	2	no	—
892	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
893	C₂×C₄×C₅	—	2	1	no	—
894	C₂×C₄×C₅	—	2	1	no	—
895	C₂×C₄×C₅	—	2	1	no	—
896	C₂×C₄×C₅	—	2	1	no	—
897	C₂×C₄×C₅	—	2	1	no	—
898	C₂×C₄×C₅	—	2	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	4	1	no	—
907	C₂×C₄×C₅	—	4	1	no	—
908	C₂×C₄×C₅	—	4	2	no	—
909	C₂×C₄×C₅	—	4	2	no	—
910	C₂×C₄×C₅	—	4	2	no	—
911	C₂×C₄×C₅	—	4	2	no	—
912	C₂×C₄×C₅	—	8	1	no	—
913	C₂×C₄×C₅	—	8	1	no	—
914	C₂×C₄×C₅	—	8	1	no	—
915	C₂×C₄×C₅	—	8	1	no	—
916	C₂×C₄×C₅	—	8	1	no	—
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
924	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
929	C₂²⋊D₅	—	8	1	no	—
930	C₂²⋊D₅	—	8	1	no	—
931	C₂²⋊D₅	—	8	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	2	1	no	—
938	C₂×Dic₅	—	2	1	no	—
939	C₂×Dic₅	—	8	1	no	—
940	C₂×Dic₅	—	8	1	no	—
941	D₂₀	—	2	1	no	—
942	D₂₀	—	2	1	no	—
943	C₄×D₅	—	8	1	no	—
944	C₄×D₅	—	8	1	no	—
945	C₄×D₅	—	8	1	no	—
946	Dic₁₀	—	2	1	no	—
947	Dic₁₀	—	2	1	no	—
948	Dic₁₀	—	8	1	no	—
949	Dic₁₀	—	8	1	no	—
950	Dic₁₀	—	8	1	no	—
951	Dic₁₀	—	8	1	no	—
952	#168	—	2	1	no	—
953	#168	—	2	1	no	—
954	#168	—	2	1	no	—
955	#168	—	2	1	no	—
956	#168	—	2	1	no	—
957	#168	—	2	1	no	—
958	#168	—	2	1	no	—
959	#168	—	2	1	no	—
960	C₂×#41	C₂²×D₅	1	1	yes	characteristic
961	C₂×#41	C₂²×D₅	1	1	yes	characteristic
962	C₂×#41	C₂²×D₅	1	1	yes	characteristic
963	C₂×Q₁₆	—	5	1	no	—
964	C₂×Q₁₆	—	5	1	no	—
965	C₂×Q₁₆	—	5	1	no	—
966	C₂×SD₁₆	—	5	1	no	—
967	C₂×SD₁₆	—	5	1	no	—
968	C₂×SD₁₆	—	5	1	no	—
969	C₂×SD₁₆	—	5	1	no	—
970	C₂×D₈	—	5	1	no	—
971	C₂×M₁₆	—	5	1	no	—
972	C₂×M₁₆	—	5	1	no	—
973	C₂²×C₈	—	5	1	no	—
974	C₂²×C₈	—	5	1	no	—
975	C₂²×C₈	—	5	1	no	—
976	C₂²×C₈	—	5	1	no	—
977	C₄⋊Q₈	—	5	1	no	—
978	C₄⋊Q₈	—	5	1	no	—
979	C₄⋊Q₈	—	5	1	no	—
980	C₄⋊Q₈	—	5	1	no	—
981	C₄⋊Q₈	—	10	1	no	—
982	C₄⋊Q₈	—	10	1	no	—
983	C₄⋊Q₈	—	10	1	no	—
984	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
985	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
986	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
987	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
988	#126	—	2	1	no	—
989	#126	—	2	1	no	—
990	#126	—	2	1	no	—
991	#126	—	2	1	no	—
992	#126	—	2	1	no	—
993	#126	—	2	1	no	—
994	#126	—	10	1	no	—
995	#126	—	10	1	no	—
996	#126	—	10	1	no	—
997	#126	—	10	1	no	—
998	#126	—	10	1	no	—
999	#126	—	10	1	no	—
1000	#126	—	10	1	no	—
1001	#126	—	10	1	no	—
1002	#126	—	10	1	no	—
1003	#126	C₂²⋊D₅	1	1	yes	characteristic
1004	#126	C₂²⋊D₅	1	1	yes	characteristic
1005	#125	—	2	1	no	—
1006	#125	—	2	1	no	—
1007	#125	—	2	1	no	—
1008	#125	—	2	1	no	—
1009	#125	—	2	1	no	—
1010	#125	—	2	1	no	—
1011	#125	—	2	1	no	—
1012	#125	—	2	1	no	—
1013	#125	—	2	1	no	—
1014	#125	—	2	1	no	—
1015	#125	—	2	1	no	—
1016	#125	—	5	1	no	—
1017	#125	—	5	1	no	—
1018	#125	—	5	1	no	—
1019	#125	—	5	1	no	—
1020	#125	—	5	1	no	—
1021	#125	—	10	1	no	—
1022	#125	—	10	1	no	—
1023	#125	—	10	1	no	—
1024	#125	—	10	1	no	—
1025	#125	—	10	1	no	—
1026	#125	—	10	1	no	—
1027	#125	C₂²⋊D₅	1	1	yes	characteristic
1028	#125	C₂²×D₅	1	1	yes	characteristic
1029	#125	C₂²×D₅	1	1	yes	characteristic
1030	#124	—	5	1	no	—
1031	#124	—	10	1	no	—
1032	#124	—	10	1	no	—
1033	#124	—	10	1	no	—
1034	#124	—	10	1	no	—
1035	#124	—	10	1	no	—
1036	#124	C₂²⋊D₅	1	1	yes	characteristic
1037	#123	—	2	1	no	—
1038	#123	—	2	1	no	—
1039	#123	—	2	1	no	—
1040	#123	—	2	1	no	—
1041	#123	—	2	1	no	—
1042	#123	—	2	1	no	—
1043	#123	—	2	1	no	—
1044	#123	—	2	1	no	—
1045	#123	—	10	1	no	—
1046	#123	—	10	1	no	—
1047	#123	—	10	1	no	—
1048	#123	—	10	1	no	—
1049	#123	—	10	1	no	—
1050	#123	—	10	1	no	—
1051	#123	—	10	1	no	—
1052	#123	C₂²⋊D₅	1	1	yes	characteristic
1053	#123	C₂²⋊D₅	1	1	yes	characteristic
1054	C₂²⋊Q₈	—	2	1	no	—
1055	C₂²⋊Q₈	—	2	1	no	—
1056	C₂²⋊Q₈	—	2	1	no	—
1057	C₂²⋊Q₈	—	2	1	no	—
1058	C₂²⋊Q₈	—	2	1	no	—
1059	C₂²⋊Q₈	—	2	1	no	—
1060	C₂²⋊Q₈	—	5	1	no	—
1061	C₂²⋊Q₈	—	5	1	no	—
1062	C₂²⋊Q₈	—	5	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	C₂²⋊D₅	1	1	yes	characteristic
1075	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1076	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1077	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1078	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1079	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1080	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1081	#121	—	2	1	no	—
1082	#121	—	2	1	no	—
1083	#121	—	2	1	no	—
1084	#121	—	5	1	no	—
1085	#121	—	5	1	no	—
1086	#121	—	5	1	no	—
1087	#121	—	10	1	no	—
1088	#121	—	10	1	no	—
1089	#121	—	10	1	no	—
1090	#121	C₂²⋊D₅	1	1	yes	characteristic
1091	C₄×Q₈	—	2	1	no	—
1092	C₄×Q₈	—	2	1	no	—
1093	C₄×Q₈	—	5	1	no	—
1094	C₄×Q₈	—	5	1	no	—
1095	C₄×Q₈	—	5	1	no	—
1096	C₄×Q₈	—	10	1	no	—
1097	C₄×Q₈	—	10	1	no	—
1098	C₄×Q₈	—	10	1	no	—
1099	C₄×Q₈	—	10	1	no	—
1100	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1102	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1103	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1104	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1105	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1106	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1107	C₄×D₄	—	2	1	no	—
1108	C₄×D₄	—	2	1	no	—
1109	C₄×D₄	—	2	1	no	—
1110	C₄×D₄	—	2	1	no	—
1111	C₄×D₄	—	2	1	no	—
1112	C₄×D₄	—	2	1	no	—
1113	C₄×D₄	—	2	1	no	—
1114	C₄×D₄	—	5	1	no	—
1115	C₄×D₄	—	5	1	no	—
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	10	1	no	—
1118	C₄×D₄	—	10	1	no	—
1119	C₄×D₄	—	10	1	no	—
1120	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1121	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1122	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1123	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1124	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1125	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1126	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1127	#117	—	2	1	no	—
1128	#117	—	2	1	no	—
1129	#117	—	2	1	no	—
1130	#117	—	2	1	no	—
1131	#117	—	2	1	no	—
1132	#117	—	2	1	no	—
1133	#117	—	5	1	no	—
1134	#117	—	5	1	no	—
1135	#117	—	5	1	no	—
1136	#117	—	5	1	no	—
1137	#117	—	10	1	no	—
1138	#117	—	10	1	no	—
1139	#117	—	10	1	no	—
1140	#117	—	10	1	no	—
1141	#117	C₂²×D₅	1	1	yes	characteristic
1142	#117	C₂²×D₅	1	1	yes	characteristic
1143	#117	C₂²×D₅	1	1	yes	characteristic
1144	C₂×C₄⋊C₄	—	2	1	no	—
1145	C₂×C₄⋊C₄	—	2	1	no	—
1146	C₂×C₄⋊C₄	—	2	1	no	—
1147	C₂×C₄⋊C₄	—	2	1	no	—
1148	C₂×C₄⋊C₄	—	2	1	no	—
1149	C₂×C₄⋊C₄	—	2	1	no	—
1150	C₂×C₄⋊C₄	—	5	1	no	—
1151	C₂×C₄⋊C₄	—	5	1	no	—
1152	C₂×C₄⋊C₄	—	10	1	no	—
1153	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1154	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1155	C₂×C₄²	—	2	1	no	—
1156	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1163	#107	—	5	1	no	—
1164	#107	—	5	1	no	—
1165	#107	—	5	1	no	—
1166	#107	—	5	1	no	—
1167	#107	—	5	1	no	—
1168	#107	—	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	—	5	1	no	—
1176	#106	—	5	1	no	—
1177	#106	—	5	1	no	—
1178	#106	—	5	1	no	—
1179	#106	—	5	1	no	—
1180	#106	—	5	1	no	—
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	—	5	1	no	—
1191	#103	—	5	1	no	—
1192	#103	—	5	1	no	—
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	#103	—	5	1	no	—
1206	#103	—	5	1	no	—
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	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	—	5	1	no	—
1220	#102	—	5	1	no	—
1221	#102	—	5	1	no	—
1222	#102	—	5	1	no	—
1223	C₂²⋊C₈	—	5	1	no	—
1224	C₂²⋊C₈	—	5	1	no	—
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	C₄×C₈	—	5	1	no	—
1234	C₄×C₈	—	5	1	no	—
1235	C₂²×C₅	—	2	1	no	—
1236	C₂²×C₅	—	2	1	no	—
1237	C₂²×C₅	—	2	1	no	—
1238	C₂²×C₅	—	2	1	no	—
1239	C₂²×C₅	—	2	1	no	—
1240	C₂²×C₅	—	2	1	no	—
1241	C₂²×C₅	—	2	1	no	—
1242	C₂²×C₅	—	2	1	no	—
1243	C₂²×C₅	—	2	1	no	—
1244	C₂²×C₅	—	2	2	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	—	4	1	no	—
1249	C₂×D₅	—	4	1	no	—
1250	C₂×D₅	—	4	1	no	—
1251	C₄×C₅	—	2	1	no	—
1252	C₄×C₅	—	2	1	no	—
1253	C₄×C₅	—	2	1	no	—
1254	C₄×C₅	—	2	1	no	—
1255	C₄×C₅	—	2	1	no	—
1256	C₄×C₅	—	2	1	no	—
1257	C₄×C₅	—	2	1	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	—	4	1	no	—
1263	C₄×C₅	—	4	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1270	C₄×C₅	#585	1	1	yes	characteristic
1271	Dic₅	—	4	1	no	—
1272	Dic₅	—	4	1	no	—
1273	Dic₅	—	4	1	no	—
1274	Dic₅	—	4	1	no	—
1275	Dic₅	—	4	1	no	—
1276	Dic₅	—	4	1	no	—
1277	Dic₅	—	4	1	no	—
1278	#41	—	2	2	no	—
1279	#41	—	2	2	no	—
1280	#41	—	2	2	no	—
1281	#41	—	4	1	no	—
1282	#41	—	4	1	no	—
1283	#41	—	4	1	no	—
1284	C₂×Q₈	—	2	1	no	—
1285	C₂×Q₈	—	5	1	no	—
1286	C₂×Q₈	—	10	1	no	—
1287	C₂×Q₈	—	10	1	no	—
1288	C₂×Q₈	—	10	1	no	—
1289	C₂×Q₈	—	10	1	no	—
1290	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1291	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1292	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1293	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1294	C₂×D₄	—	2	1	no	—
1295	C₂×D₄	—	2	1	no	—
1296	C₂×D₄	—	2	1	no	—
1297	C₂×D₄	—	5	1	no	—
1298	C₂×D₄	—	10	1	no	—
1299	C₂×D₄	—	10	1	no	—
1300	C₂×D₄	—	10	1	no	—
1301	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1302	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1303	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1304	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1305	C₂²×C₄	—	2	1	no	—
1306	C₂²×C₄	—	2	1	no	—
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	2	1	no	—
1309	C₂²×C₄	—	2	1	no	—
1310	C₂²×C₄	—	2	1	no	—
1311	C₂²×C₄	—	2	1	no	—
1312	C₂²×C₄	—	2	1	no	—
1313	C₂²×C₄	—	2	1	no	—
1314	C₂²×C₄	—	10	1	no	—
1315	C₂²×C₄	—	10	1	no	—
1316	C₂²×C₄	—	10	1	no	—
1317	C₂²×C₄	—	10	1	no	—
1318	C₂²×C₄	—	10	1	no	—
1319	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1320	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1321	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1322	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1323	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1324	Q₁₆	—	20	1	no	—
1325	Q₁₆	—	20	1	no	—
1326	Q₁₆	—	20	1	no	—
1327	SD₁₆	—	10	2	no	—
1328	SD₁₆	—	20	1	no	—
1329	SD₁₆	—	20	1	no	—
1330	SD₁₆	—	20	1	no	—
1331	D₈	—	10	2	no	—
1332	M₁₆	—	20	1	no	—
1333	M₁₆	—	20	1	no	—
1334	C₂×C₈	—	5	1	no	—
1335	C₂×C₈	—	5	1	no	—
1336	C₂×C₈	—	5	1	no	—
1337	C₂×C₈	—	5	1	no	—
1338	C₂×C₈	—	5	1	no	—
1339	C₂×C₈	—	5	1	no	—
1340	C₂×C₈	—	5	1	no	—
1341	C₂×C₈	—	5	1	no	—
1342	C₂×C₈	—	20	1	no	—
1343	C₂×C₈	—	20	1	no	—
1344	C₂×C₈	—	20	1	no	—
1345	C₂×C₈	—	20	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	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	—	10	1	no	—
1378	C₄⋊C₄	—	10	1	no	—
1379	C₄⋊C₄	—	10	1	no	—
1380	C₄⋊C₄	—	10	1	no	—
1381	C₄⋊C₄	—	10	1	no	—
1382	C₄⋊C₄	—	10	1	no	—
1383	C₄⋊C₄	—	10	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1400	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1401	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1402	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1403	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1404	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1405	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1406	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1407	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1408	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1409	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1410	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1411	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1412	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
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	—	10	1	no	—
1425	C₂²⋊C₄	—	10	1	no	—
1426	C₂²⋊C₄	—	10	1	no	—
1427	C₂²⋊C₄	—	10	1	no	—
1428	C₂²⋊C₄	—	10	1	no	—
1429	C₂²⋊C₄	—	10	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1440	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1441	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1442	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1443	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1444	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1446	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1447	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1448	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	2	1	no	—
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	10	1	no	—
1457	C₄²	—	10	1	no	—
1458	C₄²	—	10	1	no	—
1459	C₄²	—	10	1	no	—
1460	C₄²	—	10	1	no	—
1461	C₄²	—	10	1	no	—
1462	C₄²	—	10	1	no	—
1463	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1464	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1465	C₄²	C₂³×D₅	1	1	yes	characteristic
1466	C₄²	C₂³×D₅	1	1	yes	characteristic
1467	C₄²	C₂³×D₅	1	1	yes	characteristic
1468	C₄²	C₂³×D₅	1	1	yes	characteristic
1469	C₂×C₅	—	4	1	no	—
1470	C₂×C₅	—	4	1	no	—
1471	C₂×C₅	—	4	1	no	—
1472	C₂×C₅	—	4	2	no	—
1473	C₂×C₅	#3489	1	1	yes	characteristic
1474	C₂×C₅	#3584	1	1	yes	characteristic
1475	C₂×C₅	#3586	1	1	yes	characteristic
1476	D₅	—	8	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	10	1	no	—
1479	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1480	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1481	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1482	Q₈	—	2	1	no	—
1483	Q₈	—	2	1	no	—
1484	Q₈	—	2	1	no	—
1485	Q₈	—	2	1	no	—
1486	Q₈	—	2	1	no	—
1487	Q₈	—	2	1	no	—
1488	Q₈	—	4	1	no	—
1489	Q₈	—	8	1	no	—
1490	Q₈	—	10	1	no	—
1491	Q₈	—	10	1	no	—
1492	Q₈	—	40	1	no	—
1493	Q₈	—	40	1	no	—
1494	Q₈	—	40	1	no	—
1495	Q₈	—	40	1	no	—
1496	D₄	—	2	1	no	—
1497	D₄	—	4	1	no	—
1498	D₄	—	4	1	no	—
1499	D₄	—	4	1	no	—
1500	D₄	—	4	2	no	—
1501	D₄	—	4	2	no	—
1502	D₄	—	4	2	no	—
1503	D₄	—	10	1	no	—
1504	D₄	—	10	1	no	—
1505	D₄	—	40	1	no	—
1506	D₄	—	40	1	no	—
1507	D₄	—	40	1	no	—
1508	D₄	#4150	1	2	yes	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	1	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	2	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	4	2	no	—
1527	C₂×C₄	—	4	2	no	—
1528	C₂×C₄	—	8	1	no	—
1529	C₂×C₄	—	8	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	8	1	no	—
1532	C₂×C₄	—	8	1	no	—
1533	C₂×C₄	—	10	1	no	—
1534	C₂×C₄	—	10	1	no	—
1535	C₂×C₄	—	10	1	no	—
1536	C₂×C₄	—	10	1	no	—
1537	C₂×C₄	—	10	1	no	—
1538	C₂×C₄	—	10	1	no	—
1539	C₂×C₄	—	10	1	no	—
1540	C₂×C₄	—	40	1	no	—
1541	C₂×C₄	—	40	1	no	—
1542	C₂×C₄	—	40	1	no	—
1543	C₂×C₄	—	40	1	no	—
1544	C₂×C₄	—	40	1	no	—
1545	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1546	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1547	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1548	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1549	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1550	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1551	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1552	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1553	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1554	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1555	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1556	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1557	C₈	—	10	1	no	—
1558	C₈	—	10	1	no	—
1559	C₈	—	10	1	no	—
1560	C₈	—	10	1	no	—
1561	C₈	—	10	1	no	—
1562	C₈	—	10	1	no	—
1563	C₈	—	10	1	no	—
1564	C₈	—	10	1	no	—
1565	C₅	#62160	1	1	yes	characteristic, complemented, Sylow
1566	C₂²	—	2	1	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	2	1	no	—
1569	C₂²	—	2	2	no	—
1570	C₂²	—	2	1	no	—
1571	C₂²	—	2	1	no	—
1572	C₂²	—	2	1	no	—
1573	C₂²	—	2	1	no	—
1574	C₂²	—	2	1	no	—
1575	C₂²	—	2	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	20	1	no	—
1579	C₂²	—	20	1	no	—
1580	C₂²	—	20	1	no	—
1581	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1582	C₄	—	2	1	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	1	no	—
1587	C₄	—	2	1	no	—
1588	C₄	—	2	1	no	—
1589	C₄	—	2	1	no	—
1590	C₄	—	2	1	no	—
1591	C₄	—	2	1	no	—
1592	C₄	—	2	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	20	1	no	—
1601	C₄	—	20	1	no	—
1602	C₄	—	20	1	no	—
1603	C₄	—	20	1	no	—
1604	C₄	—	20	1	no	—
1605	C₄	—	20	1	no	—
1606	C₄	—	20	1	no	—
1607	C₄	C₂×#4150	1	1	yes	characteristic
1608	C₄	#66283	1	1	yes	characteristic
1609	C₂	—	4	1	no	—
1610	C₂	—	4	1	no	—
1611	C₂	—	4	1	no	—
1612	C₂	—	4	2	no	—
1613	C₂	—	40	1	no	—
1614	C₂	#10619165	1	1	yes	characteristic
1615	C₂	#10619188	1	1	yes	characteristic
1616	C₂	#10619198	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3515	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3515	D₅
hypocenter	C₅	#62160
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3515

Complements

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

N	H ≅ G/N	type
1. C₅×#3515	C₂	semidirect
2. #10618044	C₂	semidirect
3. #10615430	C₂	semidirect
4. #10615423	C₂	semidirect
5. #10615364	C₂	semidirect
6. #10615363	C₂	semidirect
7. #10615356	C₂	semidirect
8. #10615355	C₂	semidirect
9. #10615326	C₂	semidirect
10. #10615325	C₂	semidirect
11. #10615322	C₂	semidirect
12. #10615321	C₂	semidirect
13. #10615244	C₂	semidirect
14. #10615244	C₂	semidirect
15. #10615243	C₂	semidirect
16. #10615243	C₂	semidirect
17. #10615242	C₂	semidirect
18. #10615241	C₂	semidirect
19. #10615180	C₂	semidirect
20. #10615180	C₂	semidirect
21. #10615173	C₂	semidirect
22. #10615173	C₂	semidirect
23. #10615095	C₂	semidirect
24. #10615058	C₂	semidirect
25. #10614861	C₂	semidirect
26. #10614307	C₂	semidirect
27. #10614300	C₂	semidirect
28. #10614291	C₂	semidirect
29. #10614290	C₂	semidirect
30. #10614261	C₂	semidirect
31. #10614238	C₂	semidirect
480. #3515	D₅	semidirect
1565. C₅	#62160	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3515	2
#10618044	2
#10615430	2
#10615423	2
#10615364	2
#10615363	2
#10615356	2
#10615355	2
#10615326	2
#10615325	2
#10615322	2
#10615321	2
#10615244	2
#10615243	2
#10615242	2
#10615241	2
#10615180	2
#10615173	2
#10615095	2
#10615058	2
#10614861	2
#10614307	2
#10614300	2
#10614291	2
#10614290	2
#10614261	2
#10614238	2
#62160	5