Subgroups — #12996300

Order 1280.

1684 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	#10618653	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618597	C₂	1	1	yes	maximal, characteristic
3	C₅×#3298	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615284	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615249	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613354	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613342	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613170	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613155	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613153	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613151	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612744	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612739	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612385	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612380	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612377	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612371	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612174	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612149	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611784	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611783	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611764	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611761	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611392	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611367	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611145	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611138	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610543	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610536	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610510	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65088	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
33	C₅×#547	C₂²	1	1	yes	characteristic
34	#66167	—	2	1	no	—
35	#66158	—	2	1	no	—
36	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	#66146	C₂²	1	1	yes	characteristic
39	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic
40	#66065	—	2	1	no	—
41	#66065	C₂²	1	1	yes	characteristic
42	#66064	C₂²	1	1	yes	characteristic
43	#66063	C₂²	1	1	yes	characteristic
44	#66055	—	2	1	no	—
45	#66055	C₂²	1	1	yes	characteristic
46	#66001	—	2	1	no	—
47	#65999	—	2	1	no	—
48	#65994	—	2	1	no	—
49	#65989	—	2	1	no	—
50	#65980	—	2	1	no	—
51	#65979	—	2	1	no	—
52	#65976	—	2	1	no	—
53	#65976	C₂²	1	1	yes	characteristic
54	#65975	—	2	1	no	—
55	#65975	C₂²	1	1	yes	characteristic
56	#65959	—	2	1	no	—
57	#65959	C₂²	1	1	yes	characteristic
58	#65956	—	2	1	no	—
59	#65956	C₂²	1	1	yes	characteristic
60	#65953	C₂²	1	1	yes	characteristic
61	#65952	C₂²	1	1	yes	characteristic
62	#65948	C₂²	1	1	yes	characteristic
63	#65930	C₂²	1	1	yes	characteristic
64	#65906	C₂²	1	1	yes	characteristic
65	#65903	C₂²	1	1	yes	characteristic
66	#65899	C₂²	1	1	yes	characteristic
67	#65896	C₂²	1	1	yes	characteristic
68	#65875	—	2	1	no	—
69	#65875	C₂²	1	1	yes	characteristic
70	#65873	C₂²	1	1	yes	characteristic
71	#65872	—	2	1	no	—
72	#65872	C₂²	1	1	yes	characteristic
73	#65848	C₂²	1	1	yes	characteristic
74	#65841	C₂²	1	1	yes	characteristic
75	#65834	C₂²	1	1	yes	characteristic
76	C₂×#4036	C₂²	1	1	yes	characteristic
77	C₅×#487	C₂²	1	1	yes	characteristic
78	C₅×#483	C₂²	1	1	yes	characteristic
79	C₅×#483	C₂²	1	1	yes	characteristic
80	C₅×#475	C₂²	1	1	yes	characteristic
81	C₅×#465	C₂²	1	1	yes	characteristic
82	C₅×#465	C₂²	1	1	yes	characteristic
83	C₅×#461	C₂²	1	1	yes	characteristic
84	C₅×#448	C₂²	1	1	yes	characteristic
85	C₅×#448	C₂²	1	1	yes	characteristic
86	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
87	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
88	C₂×C₅×#103	C₂²	1	1	yes	characteristic
89	C₂×C₅×#103	C₂²	1	1	yes	characteristic
90	#65516	C₂²	1	1	yes	characteristic
91	#65516	C₂²	1	1	yes	characteristic
92	#65514	C₂²	1	1	yes	characteristic
93	C₂×#3967	C₂²	1	1	yes	characteristic
94	#65463	C₂²	1	1	yes	characteristic
95	#65460	C₂²	1	1	yes	characteristic
96	#65459	C₂²	1	1	yes	characteristic
97	#65453	C₂²	1	1	yes	characteristic
98	#65453	C₂²	1	1	yes	characteristic
99	#65453	C₂²	1	1	yes	characteristic
100	#65452	C₂²	1	1	yes	characteristic
101	#65452	C₂²	1	1	yes	characteristic
102	#65452	C₂²	1	1	yes	characteristic
103	#65451	C₂²	1	1	yes	characteristic
104	#65451	C₂²	1	1	yes	characteristic
105	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
106	#65403	C₂²	1	1	yes	characteristic
107	#65403	C₂²	1	1	yes	characteristic
108	#65400	C₂²	1	1	yes	characteristic
109	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
110	#65395	C₂²	1	1	yes	characteristic
111	C₂×#3949	C₂²	1	1	yes	characteristic
112	#65391	C₂²	1	1	yes	characteristic
113	C₂×#3946	C₂²	1	1	yes	characteristic
114	#65380	C₂²	1	1	yes	characteristic
115	#65372	C₂²	1	1	yes	characteristic
116	#65371	C₂²	1	1	yes	characteristic
117	#65369	C₂²	1	1	yes	characteristic
118	#65338	C₂²	1	1	yes	characteristic
119	#65337	C₂²	1	1	yes	characteristic
120	#65334	C₂²	1	1	yes	characteristic
121	#65333	C₂²	1	1	yes	characteristic
122	#65331	C₂²	1	1	yes	characteristic
123	#65330	C₂²	1	1	yes	characteristic
124	#65324	C₂²	1	1	yes	characteristic
125	#65322	C₂²	1	1	yes	characteristic
126	#65315	C₂²	1	1	yes	characteristic
127	#65311	C₂²	1	1	yes	characteristic
128	#65307	C₂²	1	1	yes	characteristic
129	#65300	C₂²	1	1	yes	characteristic
130	#65298	C₂²	1	1	yes	characteristic
131	#65260	C₂²	1	1	yes	characteristic
132	#65259	C₂²	1	1	yes	characteristic
133	#65253	C₂²	1	1	yes	characteristic
134	C₂×#3939	C₂²	1	1	yes	characteristic
135	#65160	C₂²	1	1	yes	characteristic
136	#65159	C₂²	1	1	yes	characteristic
137	#65155	C₂²	1	1	yes	characteristic
138	#65150	C₂²	1	1	yes	characteristic
139	#65149	C₂²	1	1	yes	characteristic
140	#65147	C₂²	1	1	yes	characteristic
141	#65146	C₂²	1	1	yes	characteristic
142	#65146	C₂²	1	1	yes	characteristic
143	#65145	C₂²	1	1	yes	characteristic
144	#65145	C₂²	1	1	yes	characteristic
145	#65145	C₂²	1	1	yes	characteristic
146	#65143	C₂²	1	1	yes	characteristic
147	#65136	C₂²	1	1	yes	characteristic
148	#65128	C₂²	1	1	yes	characteristic
149	#65118	C₂²	1	1	yes	characteristic
150	#65117	C₂²	1	1	yes	characteristic
151	#65107	C₂²	1	1	yes	characteristic
152	#65107	C₂²	1	1	yes	characteristic
153	#65106	C₂²	1	1	yes	characteristic
154	#65106	C₂²	1	1	yes	characteristic
155	#65106	C₂²	1	1	yes	characteristic
156	#65104	C₂²	1	1	yes	characteristic
157	#65103	C₂²	1	1	yes	characteristic
158	#65101	C₂²	1	1	yes	characteristic
159	#65098	C₂²	1	1	yes	characteristic
160	#65096	C₂²	1	1	yes	characteristic
161	#65095	C₂²	1	1	yes	characteristic
162	#65094	C₂²	1	1	yes	characteristic
163	#65091	C₂²	1	1	yes	characteristic
164	D₅×#103	C₂²	1	1	yes	characteristic
165	#65088	C₂²	1	1	yes	characteristic
166	#65088	C₂²	1	1	yes	characteristic
167	#65088	C₂²	1	1	yes	characteristic
168	#65088	C₂²	1	1	yes	characteristic
169	#65088	C₂²	1	1	yes	characteristic
170	#65088	C₂²	1	1	yes	characteristic
171	#65088	C₂²	1	1	yes	characteristic
172	#65088	C₂²	1	1	yes	characteristic
173	#65088	C₂²	1	1	yes	characteristic
174	#65086	C₂²	1	1	yes	characteristic
175	#65086	C₂²	1	1	yes	characteristic
176	#65086	C₂²	1	1	yes	characteristic
177	#65085	C₂²	1	1	yes	characteristic
178	#65085	C₂²	1	1	yes	characteristic
179	#65085	C₂²	1	1	yes	characteristic
180	#65083	C₂²	1	1	yes	characteristic
181	#65083	C₂²	1	1	yes	characteristic
182	#65083	C₂²	1	1	yes	characteristic
183	#65081	C₂²	1	1	yes	characteristic
184	#65080	C₂²	1	1	yes	characteristic
185	#65080	C₂²	1	1	yes	characteristic
186	#65077	C₂²	1	1	yes	characteristic
187	#65068	C₂²	1	1	yes	characteristic
188	#65052	C₂²	1	1	yes	characteristic
189	#65051	C₂²	1	1	yes	characteristic
190	#65050	C₂²	1	1	yes	characteristic
191	#65026	C₂²	1	1	yes	characteristic
192	#65025	C₂²	1	1	yes	characteristic
193	#65019	C₂²	1	1	yes	characteristic
194	#65017	C₂²	1	1	yes	characteristic
195	#65012	C₂²	1	1	yes	characteristic
196	#65011	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic
198	#65008	C₂²	1	1	yes	characteristic
199	C₄×#677	C₂²	1	1	yes	characteristic
200	#64979	C₂²	1	1	yes	characteristic
201	#64972	C₂²	1	1	yes	characteristic
202	#64968	C₂²	1	1	yes	characteristic
203	#62167	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×#711	—	2	1	no	—
209	C₂×#709	—	2	1	no	—
210	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	—	2	1	no	—
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×#123	—	2	1	no	—
219	C₅×#123	—	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	C₂³	1	1	yes	characteristic
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×#121	C₂³	1	1	yes	characteristic
226	C₅×#121	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	—	2	1	no	—
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	#4092	—	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	C₂³	1	1	yes	characteristic
239	#4092	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	—	2	1	no	—
241	Q₈×Dic₅	—	2	1	no	—
242	Q₈×Dic₅	—	2	1	no	—
243	Q₈×Dic₅	—	2	1	no	—
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	#4090	—	2	1	no	—
252	#4090	—	2	1	no	—
253	#4090	—	2	1	no	—
254	#4090	C₂³	1	1	yes	characteristic
255	#4090	C₂³	1	1	yes	characteristic
256	C₂×#688	C₂³	1	1	yes	characteristic
257	C₂×#688	C₂³	1	1	yes	characteristic
258	C₂×#688	C₂³	1	1	yes	characteristic
259	#4086	C₂³	1	1	yes	characteristic
260	#4085	—	2	1	no	—
261	#4085	—	2	1	no	—
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4085	D₄	1	1	yes	characteristic
265	#4084	—	2	1	no	—
266	#4084	—	2	1	no	—
267	#4084	C₂³	1	1	yes	characteristic
268	#4081	—	2	1	no	—
269	#4081	—	2	1	no	—
270	#4081	D₄	1	1	yes	characteristic
271	D₄×Dic₅	—	2	1	no	—
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×#687	C₂³	1	1	yes	characteristic
275	#4076	—	2	1	no	—
276	#4076	—	2	1	no	—
277	#4076	C₂³	1	1	yes	characteristic
278	#4076	C₂³	1	1	yes	characteristic
279	#4075	—	2	1	no	—
280	#4075	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	—	2	1	no	—
284	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
285	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
286	#4072	—	2	1	no	—
287	#4072	—	2	1	no	—
288	#4072	C₂³	1	1	yes	characteristic
289	#4072	C₂³	1	1	yes	characteristic
290	#4072	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊Dic₅	—	2	1	no	—
292	C₂×C₄⋊Dic₅	—	2	1	no	—
293	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
295	#4070	—	2	1	no	—
296	#4070	—	2	1	no	—
297	#4070	—	2	1	no	—
298	#4070	—	2	1	no	—
299	#4070	—	2	1	no	—
300	#4070	C₂³	1	1	yes	characteristic
301	#4070	C₂³	1	1	yes	characteristic
302	C₂×#683	—	2	1	no	—
303	C₂×#683	—	2	1	no	—
304	C₂×C₄×Dic₅	—	2	1	no	—
305	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
306	C₂×#681	C₂³	1	1	yes	characteristic
307	C₂²×#168	C₂³	1	1	yes	characteristic
308	C₂×#677	C₂³	1	1	yes	characteristic
309	C₂×#676	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	—	2	1	no	—
314	#4044	—	2	1	no	—
315	#4044	—	2	1	no	—
316	#4044	—	2	1	no	—
317	#4044	D₄	1	1	yes	characteristic
318	#4043	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4042	—	2	1	no	—
321	#4041	C₂³	1	1	yes	characteristic
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4039	C₂³	1	1	yes	characteristic
325	#4039	C₂³	1	1	yes	characteristic
326	#4038	—	2	1	no	—
327	#4038	C₂³	1	1	yes	characteristic
328	#4038	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	#4036	—	2	1	no	—
332	#4036	—	2	1	no	—
333	#4036	—	2	1	no	—
334	#4036	—	2	1	no	—
335	#4036	—	2	1	no	—
336	#4036	—	2	1	no	—
337	#4036	—	2	1	no	—
338	#4036	C₂³	1	1	yes	characteristic
339	#4036	C₂³	1	1	yes	characteristic
340	#4036	C₂³	1	1	yes	characteristic
341	#4036	C₂³	1	1	yes	characteristic
342	#4036	C₂³	1	1	yes	characteristic
343	#4036	C₂³	1	1	yes	characteristic
344	#4035	—	2	1	no	—
345	#4035	—	2	1	no	—
346	#4035	—	2	1	no	—
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4035	D₄	1	1	yes	characteristic
353	#4034	—	2	1	no	—
354	#4034	—	2	1	no	—
355	#4034	C₂³	1	1	yes	characteristic
356	#4034	C₂³	1	1	yes	characteristic
357	#4034	C₂³	1	1	yes	characteristic
358	#4033	—	2	1	no	—
359	#4033	—	2	1	no	—
360	#4033	—	2	1	no	—
361	#4033	—	2	1	no	—
362	#4033	C₂³	1	1	yes	characteristic
363	#4032	—	2	1	no	—
364	#4032	—	2	1	no	—
365	#4032	—	2	1	no	—
366	#4032	D₄	1	1	yes	characteristic
367	#4031	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	D₄	1	1	yes	characteristic
370	#4030	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4029	—	2	1	no	—
373	#4029	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	—	2	1	no	—
382	#4025	—	2	1	no	—
383	#4025	D₄	1	1	yes	characteristic
384	#4024	—	2	1	no	—
385	#4024	—	2	1	no	—
386	#4024	—	2	1	no	—
387	#4024	D₄	1	1	yes	characteristic
388	#4023	—	2	1	no	—
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	—	2	1	no	—
393	#4018	C₂³	1	1	yes	characteristic
394	#4016	—	2	1	no	—
395	#4016	C₂³	1	1	yes	characteristic
396	#4016	C₂³	1	1	yes	characteristic
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	—	2	1	no	—
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	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×#103	C₂³	1	1	yes	characteristic
406	C₅×#103	C₂³	1	1	yes	characteristic
407	C₅×#103	C₂³	1	1	yes	characteristic
408	C₅×#103	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3950	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3949	C₂³	1	1	yes	characteristic
442	#3949	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3947	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	C₈×Dic₅	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3941	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	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	#3935	C₂³	1	1	yes	characteristic
479	#3559	—	5	1	no	—
480	#3523	—	5	1	no	—
481	#3388	—	5	1	no	—
482	#3388	—	5	1	no	—
483	#3372	—	5	1	no	—
484	#3372	—	5	1	no	—
485	#3350	—	5	1	no	—
486	#3350	—	5	1	no	—
487	#3343	—	5	1	no	—
488	#3343	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3337	—	5	1	no	—
491	#3320	—	5	1	no	—
492	#3320	—	5	1	no	—
493	#3320	—	5	1	no	—
494	#3320	—	5	1	no	—
495	#3298	—	5	1	no	—
496	#3298	D₅	1	1	yes	characteristic, complemented
497	#3260	—	5	1	no	—
498	#3260	—	5	1	no	—
499	#3246	—	5	1	no	—
500	#3242	—	5	1	no	—
501	#3242	—	5	1	no	—
502	#3236	—	5	1	no	—
503	#3126	—	5	1	no	—
504	#3126	—	5	1	no	—
505	#3112	—	5	1	no	—
506	#3082	—	5	1	no	—
507	#3082	—	5	1	no	—
508	C₂×#479	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₅×#41	—	8	2	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	2	no	—
515	C₂×C₅×Q₈	—	2	2	no	—
516	C₂×C₅×Q₈	—	4	1	no	—
517	C₂×C₅×Q₈	—	4	1	no	—
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	C₂×D₄	1	1	yes	characteristic
524	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
544	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
545	Q₈×D₅	—	2	2	no	—
546	Q₈×D₅	—	4	1	no	—
547	#711	—	8	2	no	—
548	#709	—	8	2	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₅	—	2	1	no	—
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
562	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
563	C₅×SD₁₆	—	2	2	no	—
564	C₅×SD₁₆	—	4	1	no	—
565	C₅×SD₁₆	—	4	1	no	—
566	C₂×C₅×C₈	—	4	1	no	—
567	C₂×C₅×C₈	—	4	1	no	—
568	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	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	C₂×D₄	1	1	yes	characteristic
581	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₅×C₂²⋊C₄	—	2	1	no	—
586	C₅×C₂²⋊C₄	—	2	1	no	—
587	C₅×C₂²⋊C₄	—	2	1	no	—
588	C₅×C₂²⋊C₄	—	2	1	no	—
589	C₅×C₂²⋊C₄	—	2	1	no	—
590	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₄²×C₅	—	2	1	no	—
593	C₄²×C₅	C₂⁴	1	1	yes	characteristic
594	C₂²⋊Dic₅	—	2	1	no	—
595	C₂²⋊Dic₅	—	2	1	no	—
596	C₂²⋊Dic₅	—	2	1	no	—
597	C₂²⋊Dic₅	—	2	1	no	—
598	C₂²⋊Dic₅	—	2	1	no	—
599	C₂²⋊Dic₅	—	2	1	no	—
600	C₂²⋊Dic₅	—	2	1	no	—
601	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
602	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
603	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
604	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
605	#688	—	2	2	no	—
606	#688	—	4	1	no	—
607	#688	—	4	1	no	—
608	#687	—	4	1	no	—
609	#685	—	2	1	no	—
610	#685	—	2	1	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	C₂×D₄	1	1	yes	characteristic
620	#685	C₂×D₄	1	1	yes	characteristic
621	#685	C₂×D₄	1	1	yes	characteristic
622	#685	C₂×D₄	1	1	yes	characteristic
623	C₄⋊Dic₅	—	2	1	no	—
624	C₄⋊Dic₅	—	2	1	no	—
625	C₄⋊Dic₅	—	2	1	no	—
626	C₄⋊Dic₅	—	2	1	no	—
627	C₄⋊Dic₅	—	2	1	no	—
628	C₄⋊Dic₅	—	2	1	no	—
629	C₄⋊Dic₅	—	2	1	no	—
630	C₄⋊Dic₅	—	2	1	no	—
631	C₄⋊Dic₅	—	2	1	no	—
632	C₄⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
639	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂⁴	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	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
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	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
695	#681	—	4	1	no	—
696	C₂×#168	—	4	1	no	—
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	#677	—	4	1	no	—
702	#676	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	#563	—	10	1	no	—
705	#562	—	10	1	no	—
706	#557	—	5	1	no	—
707	#557	—	5	1	no	—
708	#557	—	10	1	no	—
709	#556	—	5	1	no	—
710	#556	—	10	1	no	—
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#553	—	5	1	no	—
714	#553	—	5	1	no	—
715	#553	—	5	1	no	—
716	#553	—	5	1	no	—
717	#552	—	5	1	no	—
718	#552	—	5	1	no	—
719	#552	—	10	1	no	—
720	#552	—	10	1	no	—
721	D₄×Q₈	—	5	1	no	—
722	D₄×Q₈	—	5	1	no	—
723	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
724	#547	—	5	1	no	—
725	#547	—	10	1	no	—
726	#547	—	10	1	no	—
727	#547	C₂×D₅	1	1	yes	characteristic
728	#544	—	5	1	no	—
729	#544	—	5	1	no	—
730	#541	—	5	1	no	—
731	#541	—	5	1	no	—
732	#541	—	10	1	no	—
733	#541	—	10	1	no	—
734	#540	—	5	1	no	—
735	#540	—	5	1	no	—
736	#539	—	10	1	no	—
737	#539	—	10	1	no	—
738	#539	—	10	1	no	—
739	#537	—	10	1	no	—
740	#533	—	5	1	no	—
741	#533	—	10	1	no	—
742	#532	—	5	1	no	—
743	#529	—	5	1	no	—
744	#529	—	10	1	no	—
745	C₂×#125	—	5	1	no	—
746	#519	—	5	1	no	—
747	#519	—	5	1	no	—
748	C₂×C₄×Q₈	—	5	1	no	—
749	#501	—	5	1	no	—
750	#501	—	5	1	no	—
751	#501	—	5	1	no	—
752	#501	—	5	1	no	—
753	#499	—	5	1	no	—
754	#499	—	5	1	no	—
755	#491	—	5	1	no	—
756	#491	—	5	1	no	—
757	#491	—	5	1	no	—
758	#491	—	5	1	no	—
759	#487	—	5	1	no	—
760	#487	C₂×D₅	1	1	yes	characteristic
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#485	—	5	1	no	—
764	#485	—	5	1	no	—
765	#484	—	5	1	no	—
766	#484	—	5	1	no	—
767	#484	—	5	1	no	—
768	#484	—	5	1	no	—
769	#483	—	5	1	no	—
770	#483	—	5	1	no	—
771	#483	C₂×D₅	1	1	yes	characteristic
772	#483	C₂×D₅	1	1	yes	characteristic
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	—	5	1	no	—
776	#482	—	5	1	no	—
777	#480	—	5	1	no	—
778	#480	—	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	#479	—	5	1	no	—
786	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	—	5	1	no	—
799	#477	—	5	1	no	—
800	#477	—	5	1	no	—
801	#477	—	5	1	no	—
802	#477	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	C₂×D₅	1	1	yes	characteristic
809	#468	—	5	1	no	—
810	#468	—	5	1	no	—
811	#468	—	5	1	no	—
812	#468	—	5	1	no	—
813	#465	—	5	1	no	—
814	#465	—	5	1	no	—
815	#465	—	5	1	no	—
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	C₂×D₅	1	1	yes	characteristic
820	#465	C₂×D₅	1	1	yes	characteristic
821	#461	—	5	1	no	—
822	#461	—	5	1	no	—
823	#461	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	C₂×D₅	1	1	yes	characteristic
827	#460	—	5	1	no	—
828	#460	—	5	1	no	—
829	#460	—	5	1	no	—
830	#460	—	5	1	no	—
831	#448	—	5	1	no	—
832	#448	—	5	1	no	—
833	#448	—	5	1	no	—
834	#448	—	5	1	no	—
835	#448	C₂×D₅	1	1	yes	characteristic
836	#448	C₂×D₅	1	1	yes	characteristic
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#440	—	5	1	no	—
840	#440	—	5	1	no	—
841	#440	—	5	1	no	—
842	#440	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	C₄×SD₁₆	—	5	1	no	—
848	C₄×SD₁₆	—	5	1	no	—
849	C₄×SD₁₆	—	5	1	no	—
850	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
851	#435	—	5	1	no	—
852	#435	—	5	1	no	—
853	#435	—	5	1	no	—
854	#435	—	5	1	no	—
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	C₂×D₅	1	1	yes	characteristic
857	#433	—	5	1	no	—
858	#433	—	5	1	no	—
859	#432	—	5	1	no	—
860	#428	—	5	1	no	—
861	#428	—	5	1	no	—
862	#427	—	5	1	no	—
863	#427	—	5	1	no	—
864	C₂×#107	—	5	1	no	—
865	C₂×#106	—	5	1	no	—
866	#424	—	5	1	no	—
867	#424	—	5	1	no	—
868	C₂×C₄⋊C₈	—	5	1	no	—
869	#419	—	5	1	no	—
870	#419	—	5	1	no	—
871	C₂×#103	—	5	1	no	—
872	C₂×#103	—	5	1	no	—
873	C₂×#103	C₂×D₅	1	1	yes	characteristic
874	C₂×#103	C₂×D₅	1	1	yes	characteristic
875	C₂³×C₅	—	2	1	no	—
876	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
877	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
878	C₂²×D₅	—	2	1	no	—
879	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
880	C₅×Q₈	—	2	1	no	—
881	C₅×Q₈	—	2	1	no	—
882	C₅×Q₈	—	2	1	no	—
883	C₅×Q₈	—	2	1	no	—
884	C₅×Q₈	—	2	1	no	—
885	C₅×Q₈	—	4	2	no	—
886	C₅×Q₈	—	4	2	no	—
887	C₅×Q₈	—	8	1	no	—
888	C₅×Q₈	2₋¹⁺⁴	1	2	yes	—
889	C₅×D₄	—	2	2	no	—
890	C₅×D₄	—	2	1	no	—
891	C₅×D₄	—	2	1	no	—
892	C₅×D₄	—	4	2	no	—
893	C₅×D₄	—	8	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	—	4	2	no	—
906	C₂×C₄×C₅	—	4	2	no	—
907	C₂×C₄×C₅	—	4	2	no	—
908	C₂×C₄×C₅	—	8	1	no	—
909	C₂×C₄×C₅	—	8	1	no	—
910	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
915	C₂²⋊D₅	—	2	2	no	—
916	C₂²⋊D₅	—	4	1	no	—
917	C₂²⋊D₅	—	4	2	no	—
918	C₂²⋊D₅	—	8	1	no	—
919	C₂²⋊D₅	—	8	1	no	—
920	C₂²⋊D₅	—	8	1	no	—
921	C₂²⋊D₅	—	8	1	no	—
922	C₂×Dic₅	—	2	2	no	—
923	C₂×Dic₅	—	2	1	no	—
924	C₂×Dic₅	—	2	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	2	1	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	4	1	no	—
931	C₂×Dic₅	—	4	2	no	—
932	C₂×Dic₅	—	8	1	no	—
933	C₂×Dic₅	—	8	1	no	—
934	C₂×Dic₅	—	8	1	no	—
935	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
942	D₂₀	—	2	1	no	—
943	D₂₀	—	2	1	no	—
944	D₂₀	—	8	1	no	—
945	C₄×D₅	—	2	1	no	—
946	C₄×D₅	—	2	1	no	—
947	C₄×D₅	—	4	2	no	—
948	C₄×D₅	—	8	1	no	—
949	C₄×D₅	—	8	1	no	—
950	C₄×D₅	—	8	1	no	—
951	C₄×D₅	—	8	1	no	—
952	Dic₁₀	—	2	1	no	—
953	Dic₁₀	—	2	1	no	—
954	Dic₁₀	—	4	1	no	—
955	Dic₁₀	—	4	2	no	—
956	Dic₁₀	—	4	2	no	—
957	Dic₁₀	—	8	1	no	—
958	Dic₁₀	—	8	1	no	—
959	C₅×C₈	—	2	1	no	—
960	C₅×C₈	—	2	1	no	—
961	C₅×C₈	—	2	1	no	—
962	C₅×C₈	—	2	1	no	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	#168	—	2	1	no	—
967	C₂×#41	—	2	1	no	—
968	C₂×#41	—	10	1	no	—
969	C₂×#41	—	10	1	no	—
970	C₂²×Q₈	—	5	1	no	—
971	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
972	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
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×SD₁₆	—	5	1	no	—
978	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
979	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
980	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
981	C₂×M₁₆	—	5	1	no	—
982	C₂×M₁₆	—	5	1	no	—
983	C₂²×C₈	—	5	1	no	—
984	C₂²×C₈	—	5	1	no	—
985	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
986	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
987	C₄⋊Q₈	—	2	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	—	5	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	C₂²×D₅	1	1	yes	characteristic
999	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1000	#127	—	5	1	no	—
1001	#126	—	5	1	no	—
1002	#126	—	5	1	no	—
1003	#126	—	10	1	no	—
1004	#126	—	10	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	#126	—	10	1	no	—
1014	#126	—	10	1	no	—
1015	#125	—	5	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	—	5	1	no	—
1022	#125	—	5	1	no	—
1023	#125	—	5	1	no	—
1024	#125	—	10	1	no	—
1025	#125	—	10	1	no	—
1026	#125	—	10	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	—	10	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	—	10	1	no	—
1033	#125	—	10	1	no	—
1034	#125	—	10	1	no	—
1035	#125	—	10	1	no	—
1036	#125	—	10	1	no	—
1037	#125	—	10	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#124	—	5	1	no	—
1041	#124	—	10	1	no	—
1042	#124	—	10	1	no	—
1043	#123	—	2	1	no	—
1044	#123	—	2	1	no	—
1045	#123	—	5	1	no	—
1046	#123	—	5	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	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	#123	—	10	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	C₂²⋊Q₈	—	2	1	no	—
1060	C₂²⋊Q₈	—	2	1	no	—
1061	C₂²⋊Q₈	—	2	1	no	—
1062	C₂²⋊Q₈	—	5	1	no	—
1063	C₂²⋊Q₈	—	5	1	no	—
1064	C₂²⋊Q₈	—	5	1	no	—
1065	C₂²⋊Q₈	—	5	1	no	—
1066	C₂²⋊Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1084	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1085	#121	—	5	1	no	—
1086	#121	—	5	1	no	—
1087	#121	—	5	1	no	—
1088	#121	—	5	1	no	—
1089	#121	—	5	1	no	—
1090	#121	—	10	1	no	—
1091	#121	—	10	1	no	—
1092	#121	—	10	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	—	10	1	no	—
1096	#121	—	10	1	no	—
1097	#121	—	10	1	no	—
1098	#121	—	10	1	no	—
1099	#121	C₂²×D₅	1	1	yes	characteristic
1100	#121	C₂²×D₅	1	1	yes	characteristic
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×Q₈	—	10	1	no	—
1113	C₄×Q₈	—	10	1	no	—
1114	C₄×Q₈	—	10	1	no	—
1115	C₄×Q₈	—	10	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1122	C₄×D₄	—	2	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	5	1	no	—
1126	C₄×D₄	—	5	1	no	—
1127	C₄×D₄	—	5	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	—	10	1	no	—
1135	C₄×D₄	—	10	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1138	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1139	#117	—	5	1	no	—
1140	#117	—	5	1	no	—
1141	#117	—	5	1	no	—
1142	#117	—	5	1	no	—
1143	#117	—	5	1	no	—
1144	#117	—	5	1	no	—
1145	#117	—	10	1	no	—
1146	#117	—	10	1	no	—
1147	#117	—	10	1	no	—
1148	#117	—	10	1	no	—
1149	#117	—	10	1	no	—
1150	#117	—	10	1	no	—
1151	#117	—	10	1	no	—
1152	C₂×C₄⋊C₄	—	5	1	no	—
1153	C₂×C₄⋊C₄	—	5	1	no	—
1154	C₂×C₄⋊C₄	—	5	1	no	—
1155	C₂×C₄⋊C₄	—	10	1	no	—
1156	C₂×C₄⋊C₄	—	10	1	no	—
1157	C₂×C₄⋊C₄	—	10	1	no	—
1158	C₂×C₄⋊C₄	—	10	1	no	—
1159	C₂×C₄⋊C₄	—	10	1	no	—
1160	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1162	C₂×C₄²	—	5	1	no	—
1163	C₂×C₄²	—	10	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	#107	—	5	1	no	—
1170	#107	—	5	1	no	—
1171	#107	—	5	1	no	—
1172	#107	—	5	1	no	—
1173	#107	—	5	1	no	—
1174	#107	—	5	1	no	—
1175	#107	—	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	#106	—	5	1	no	—
1182	#106	—	5	1	no	—
1183	#106	—	5	1	no	—
1184	#106	—	5	1	no	—
1185	#106	C₂²×D₅	1	1	yes	characteristic
1186	#106	C₂²×D₅	1	1	yes	characteristic
1187	#106	C₂²×D₅	1	1	yes	characteristic
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	—	5	1	no	—
1192	C₄⋊C₈	—	5	1	no	—
1193	C₄⋊C₈	—	5	1	no	—
1194	C₄⋊C₈	—	5	1	no	—
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	#103	C₂²×D₅	1	1	yes	characteristic
1214	#103	C₂²×D₅	1	1	yes	characteristic
1215	#103	C₂²×D₅	1	1	yes	characteristic
1216	#103	C₂²×D₅	1	1	yes	characteristic
1217	#103	C₂²×D₅	1	1	yes	characteristic
1218	#103	C₂²×D₅	1	1	yes	characteristic
1219	#103	C₂²×D₅	1	1	yes	characteristic
1220	#103	C₂²×D₅	1	1	yes	characteristic
1221	#103	C₂²×D₅	1	1	yes	characteristic
1222	#102	—	5	1	no	—
1223	#102	—	5	1	no	—
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	C₂²×D₅	1	1	yes	characteristic
1230	C₂²⋊C₈	—	5	1	no	—
1231	C₂²⋊C₈	—	5	1	no	—
1232	C₂²⋊C₈	—	5	1	no	—
1233	C₂²⋊C₈	—	5	1	no	—
1234	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1235	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1236	#97	—	5	1	no	—
1237	#97	—	5	1	no	—
1238	#97	—	5	1	no	—
1239	#97	—	5	1	no	—
1240	C₄×C₈	—	5	1	no	—
1241	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1242	C₂²×C₅	—	2	1	no	—
1243	C₂²×C₅	—	2	1	no	—
1244	C₂²×C₅	—	2	1	no	—
1245	C₂²×C₅	—	2	1	no	—
1246	C₂²×C₅	—	2	1	no	—
1247	C₂²×C₅	—	4	1	no	—
1248	C₂²×C₅	—	4	1	no	—
1249	C₂²×C₅	—	4	1	no	—
1250	C₂²×C₅	#577	1	2	yes	—
1251	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1252	C₂×D₅	—	2	1	no	—
1253	C₂×D₅	—	2	1	no	—
1254	C₂×D₅	—	2	1	no	—
1255	C₂×D₅	—	4	1	no	—
1256	C₂×D₅	—	4	1	no	—
1257	C₂×D₅	—	4	1	no	—
1258	C₄×C₅	—	2	1	no	—
1259	C₄×C₅	—	2	2	no	—
1260	C₄×C₅	—	2	1	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	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	—	2	1	no	—
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	—	4	1	no	—
1285	#41	—	8	2	no	—
1286	#41	—	40	2	no	—
1287	#41	—	40	2	no	—
1288	C₂×Q₈	—	2	1	no	—
1289	C₂×Q₈	—	2	1	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	2	2	no	—
1292	C₂×Q₈	—	2	2	no	—
1293	C₂×Q₈	—	4	1	no	—
1294	C₂×Q₈	—	4	1	no	—
1295	C₂×Q₈	—	5	1	no	—
1296	C₂×Q₈	—	5	1	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	2	no	—
1302	C₂×Q₈	—	20	1	no	—
1303	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1304	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1305	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1306	C₂×D₄	—	2	1	no	—
1307	C₂×D₄	—	2	1	no	—
1308	C₂×D₄	—	5	1	no	—
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	1	no	—
1316	C₂×D₄	—	10	1	no	—
1317	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1318	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1319	C₂²×C₄	—	2	1	no	—
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	—	5	1	no	—
1325	C₂²×C₄	—	5	1	no	—
1326	C₂²×C₄	—	5	1	no	—
1327	C₂²×C₄	—	10	1	no	—
1328	C₂²×C₄	—	10	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	C₂³×D₅	1	1	yes	characteristic
1337	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1338	SD₁₆	—	2	2	no	—
1339	SD₁₆	—	4	1	no	—
1340	SD₁₆	—	4	1	no	—
1341	SD₁₆	—	10	2	no	—
1342	SD₁₆	—	20	1	no	—
1343	SD₁₆	—	20	1	no	—
1344	SD₁₆	—	20	1	no	—
1345	SD₁₆	—	20	1	no	—
1346	M₁₆	—	20	1	no	—
1347	M₁₆	—	20	1	no	—
1348	C₂×C₈	—	4	1	no	—
1349	C₂×C₈	—	4	1	no	—
1350	C₂×C₈	—	5	1	no	—
1351	C₂×C₈	—	5	1	no	—
1352	C₂×C₈	—	5	1	no	—
1353	C₂×C₈	—	5	1	no	—
1354	C₂×C₈	—	20	1	no	—
1355	C₂×C₈	—	20	1	no	—
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	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
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	—	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	—	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	—	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	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1423	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1425	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	5	1	no	—
1433	C₂²⋊C₄	—	5	1	no	—
1434	C₂²⋊C₄	—	5	1	no	—
1435	C₂²⋊C₄	—	5	1	no	—
1436	C₂²⋊C₄	—	5	1	no	—
1437	C₂²⋊C₄	—	5	1	no	—
1438	C₂²⋊C₄	—	5	1	no	—
1439	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1458	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1459	C₄²	—	2	1	no	—
1460	C₄²	—	5	1	no	—
1461	C₄²	—	5	1	no	—
1462	C₄²	—	5	1	no	—
1463	C₄²	—	5	1	no	—
1464	C₄²	—	5	1	no	—
1465	C₄²	—	10	1	no	—
1466	C₄²	—	10	1	no	—
1467	C₄²	—	10	1	no	—
1468	C₄²	—	10	1	no	—
1469	C₄²	—	10	1	no	—
1470	C₄²	—	10	1	no	—
1471	C₄²	—	10	1	no	—
1472	C₄²	—	10	1	no	—
1473	C₄²	—	10	1	no	—
1474	C₄²	—	10	1	no	—
1475	C₄²	—	10	1	no	—
1476	C₄²	—	10	1	no	—
1477	C₄²	—	10	1	no	—
1478	C₄²	C₂³×D₅	1	1	yes	characteristic
1479	C₂×C₅	—	2	2	no	—
1480	C₂×C₅	—	4	1	no	—
1481	C₂×C₅	—	8	1	no	—
1482	C₂×C₅	#3489	1	1	yes	characteristic
1483	C₂×C₅	C₂×#577	1	1	yes	characteristic
1484	C₂×C₅	#3586	1	1	yes	characteristic
1485	D₅	—	4	1	no	—
1486	D₅	—	8	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	5	1	no	—
1489	C₂³	—	10	1	no	—
1490	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1491	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1492	Q₈	—	2	1	no	—
1493	Q₈	—	2	1	no	—
1494	Q₈	—	2	1	no	—
1495	Q₈	—	2	1	no	—
1496	Q₈	—	2	1	no	—
1497	Q₈	—	4	2	no	—
1498	Q₈	—	4	2	no	—
1499	Q₈	—	8	1	no	—
1500	Q₈	—	10	1	no	—
1501	Q₈	—	10	1	no	—
1502	Q₈	—	20	1	no	—
1503	Q₈	—	20	2	no	—
1504	Q₈	—	20	2	no	—
1505	Q₈	—	40	1	no	—
1506	Q₈	—	40	1	no	—
1507	Q₈	#4150	1	2	yes	—
1508	D₄	—	2	2	no	—
1509	D₄	—	2	1	no	—
1510	D₄	—	2	1	no	—
1511	D₄	—	4	2	no	—
1512	D₄	—	8	1	no	—
1513	D₄	—	10	2	no	—
1514	D₄	—	10	1	no	—
1515	D₄	—	10	1	no	—
1516	D₄	—	20	1	no	—
1517	D₄	—	20	2	no	—
1518	D₄	—	40	1	no	—
1519	D₄	—	40	1	no	—
1520	D₄	—	40	1	no	—
1521	D₄	—	40	1	no	—
1522	D₄	—	40	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	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	4	2	no	—
1535	C₂×C₄	—	4	2	no	—
1536	C₂×C₄	—	4	2	no	—
1537	C₂×C₄	—	5	1	no	—
1538	C₂×C₄	—	5	1	no	—
1539	C₂×C₄	—	5	1	no	—
1540	C₂×C₄	—	5	1	no	—
1541	C₂×C₄	—	5	1	no	—
1542	C₂×C₄	—	5	1	no	—
1543	C₂×C₄	—	5	1	no	—
1544	C₂×C₄	—	8	1	no	—
1545	C₂×C₄	—	8	1	no	—
1546	C₂×C₄	—	10	2	no	—
1547	C₂×C₄	—	10	1	no	—
1548	C₂×C₄	—	10	1	no	—
1549	C₂×C₄	—	10	1	no	—
1550	C₂×C₄	—	10	1	no	—
1551	C₂×C₄	—	10	1	no	—
1552	C₂×C₄	—	10	1	no	—
1553	C₂×C₄	—	10	1	no	—
1554	C₂×C₄	—	10	1	no	—
1555	C₂×C₄	—	10	1	no	—
1556	C₂×C₄	—	20	2	no	—
1557	C₂×C₄	—	20	1	no	—
1558	C₂×C₄	—	20	2	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	—	40	1	no	—
1564	C₂×C₄	—	40	1	no	—
1565	C₂×C₄	—	40	1	no	—
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	C₂×D₄×D₅	1	1	yes	characteristic
1570	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1571	C₈	—	2	1	no	—
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	10	1	no	—
1576	C₈	—	10	1	no	—
1577	C₈	—	10	1	no	—
1578	C₈	—	10	1	no	—
1579	C₅	#62167	1	1	yes	characteristic, complemented, Sylow
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	10	1	no	—
1589	C₂²	—	10	1	no	—
1590	C₂²	—	10	1	no	—
1591	C₂²	—	20	1	no	—
1592	C₂²	—	20	1	no	—
1593	C₂²	—	20	1	no	—
1594	C₂²	#66096	1	2	yes	—
1595	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	2	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	4	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	—	10	1	no	—
1608	C₄	—	10	1	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	—	20	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×#4150	1	1	yes	characteristic
1622	C₄	#66285	1	1	yes	characteristic
1623	C₂	—	2	2	no	—
1624	C₂	—	4	1	no	—
1625	C₂	—	8	1	no	—
1626	C₂	—	20	1	no	—
1627	C₂	—	40	1	no	—
1628	C₂	#10618531	1	1	yes	characteristic
1629	C₂	C₂×#66096	1	1	yes	characteristic
1630	C₂	#10619112	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×#3298	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618597	C₂
hypercenter	#3298	D₅
hypocenter	C₅	#62167
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3298

Complements

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

N	H ≅ G/N	type
1. #10618653	C₂	semidirect
3. C₅×#3298	C₂	semidirect
4. #10615284	C₂	semidirect
5. #10615249	C₂	semidirect
6. #10613354	C₂	semidirect
7. #10613342	C₂	semidirect
8. #10613170	C₂	semidirect
9. #10613155	C₂	semidirect
10. #10613153	C₂	semidirect
11. #10613151	C₂	semidirect
12. #10612744	C₂	semidirect
13. #10612739	C₂	semidirect
14. #10612385	C₂	semidirect
15. #10612380	C₂	semidirect
16. #10612377	C₂	semidirect
17. #10612371	C₂	semidirect
18. #10612174	C₂	semidirect
19. #10612149	C₂	semidirect
20. #10611784	C₂	semidirect
21. #10611783	C₂	semidirect
22. #10611764	C₂	semidirect
23. #10611761	C₂	semidirect
24. #10611392	C₂	semidirect
25. #10611367	C₂	semidirect
26. #10611145	C₂	semidirect
27. #10611138	C₂	semidirect
28. #10610543	C₂	semidirect
29. #10610536	C₂	semidirect
30. #10610510	C₂	semidirect
31. C₂×#65088	C₂	semidirect
496. #3298	D₅	semidirect
1579. C₅	#62167	semidirect

Maximal subgroups

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

subgroup	index
#10618653	2
#10618597	2
C₅×#3298	2
#10615284	2
#10615249	2
#10613354	2
#10613342	2
#10613170	2
#10613155	2
#10613153	2
#10613151	2
#10612744	2
#10612739	2
#10612385	2
#10612380	2
#10612377	2
#10612371	2
#10612174	2
#10612149	2
#10611784	2
#10611783	2
#10611764	2
#10611761	2
#10611392	2
#10611367	2
#10611145	2
#10611138	2
#10610543	2
#10610536	2
#10610510	2
C₂×#65088	2
#62167	5