Subgroups — #12979602

Order 1280.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618964	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618942	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3375	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615445	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615439	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613414	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613411	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613403	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613401	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613315	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613294	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612842	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612831	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612723	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612699	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#474	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612686	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612333	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612328	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612316	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612311	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612117	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612103	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611702	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611692	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611509	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611504	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611487	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611483	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611452	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611431	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic
33	C₅×Q₈²	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4065	C₂²	1	1	yes	characteristic
35	C₂×#4062	C₂²	1	1	yes	characteristic
36	C₂×#4060	C₂²	1	1	yes	characteristic
37	#66064	—	2	1	no	—
38	#66064	C₂²	1	1	yes	characteristic, complemented
39	#66063	—	2	1	no	—
40	#66063	—	2	1	no	—
41	#66063	C₂²	1	1	yes	characteristic
42	#66063	C₂²	1	1	yes	characteristic
43	#66061	—	2	1	no	—
44	#66061	—	2	1	no	—
45	#66061	C₂²	1	1	yes	characteristic, complemented
46	#66061	C₂²	1	1	yes	characteristic, complemented
47	D₅×C₄⋊Q₈	—	2	1	no	—
48	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
49	#66052	C₂²	1	1	yes	characteristic
50	#66049	C₂²	1	1	yes	characteristic
51	#66015	C₂²	1	1	yes	characteristic
52	#66012	—	2	1	no	—
53	#66008	C₂²	1	1	yes	characteristic
54	#66005	C₂²	1	1	yes	characteristic
55	#66004	—	2	1	no	—
56	#66002	C₂²	1	1	yes	characteristic
57	#65995	—	2	1	no	—
58	#65991	—	2	1	no	—
59	#65990	—	2	1	no	—
60	#65989	—	2	1	no	—
61	#65919	C₂²	1	1	yes	characteristic
62	#65913	—	2	1	no	—
63	#65913	C₂²	1	1	yes	characteristic, complemented
64	#65912	—	2	1	no	—
65	#65912	C₂²	1	1	yes	characteristic
66	#65908	C₂²	1	1	yes	characteristic
67	#65908	C₂²	1	1	yes	characteristic
68	#65908	C₂²	1	1	yes	characteristic
69	C₄×#713	C₂²	1	1	yes	characteristic
70	#65903	C₂²	1	1	yes	characteristic, complemented
71	#65903	C₂²	1	1	yes	characteristic, complemented
72	#65902	C₂²	1	1	yes	characteristic
73	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
74	#65893	C₂²	1	1	yes	characteristic
75	#65887	C₂²	1	1	yes	characteristic
76	#65881	—	2	1	no	—
77	#65880	C₂²	1	1	yes	characteristic
78	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
79	#65874	—	2	1	no	—
80	C₅×#489	C₂²	1	1	yes	characteristic
81	C₅×#489	C₂²	1	1	yes	characteristic, complemented
82	C₅×#486	C₂²	1	1	yes	characteristic
83	C₅×#477	C₂²	1	1	yes	characteristic, complemented
84	C₅×#474	C₂²	1	1	yes	characteristic
85	C₅×#474	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#464	C₂²	1	1	yes	characteristic, complemented
88	C₅×#460	C₂²	1	1	yes	characteristic
89	C₅×#446	C₂²	1	1	yes	characteristic, complemented
90	C₅×#440	C₂²	1	1	yes	characteristic
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
93	#65474	C₂²	1	1	yes	characteristic
94	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
95	#65471	C₂²	1	1	yes	characteristic, complemented
96	#65455	C₂²	1	1	yes	characteristic
97	#65453	C₂²	1	1	yes	characteristic, complemented
98	#65452	C₂²	1	1	yes	characteristic
99	#65452	C₂²	1	1	yes	characteristic
100	#65452	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
102	#65380	C₂²	1	1	yes	characteristic, complemented
103	#65378	C₂²	1	1	yes	characteristic
104	#65378	C₂²	1	1	yes	characteristic, complemented
105	#65377	C₂²	1	1	yes	characteristic
106	#65376	C₂²	1	1	yes	characteristic
107	#65376	C₂²	1	1	yes	characteristic, complemented
108	#65361	C₂²	1	1	yes	characteristic
109	#65360	C₂²	1	1	yes	characteristic
110	#65346	C₂²	1	1	yes	characteristic
111	#65346	C₂²	1	1	yes	characteristic, complemented
112	#65345	C₂²	1	1	yes	characteristic
113	#65344	C₂²	1	1	yes	characteristic, complemented
114	C₄×#689	C₂²	1	1	yes	characteristic, complemented
115	#65317	C₂²	1	1	yes	characteristic
116	#65317	C₂²	1	1	yes	characteristic, complemented
117	#65316	C₂²	1	1	yes	characteristic
118	#65315	C₂²	1	1	yes	characteristic
119	#65315	C₂²	1	1	yes	characteristic, complemented
120	#65315	C₂²	1	1	yes	characteristic, complemented
121	#65313	C₂²	1	1	yes	characteristic, complemented
122	#65311	C₂²	1	1	yes	characteristic, complemented
123	#65303	C₂²	1	1	yes	characteristic
124	C₄×#686	C₂²	1	1	yes	characteristic, complemented
125	#65298	C₂²	1	1	yes	characteristic, complemented
126	#65296	C₂²	1	1	yes	characteristic
127	#65180	C₂²	1	1	yes	characteristic, complemented
128	#65179	C₂²	1	1	yes	characteristic
129	#65179	C₂²	1	1	yes	characteristic
130	#65179	C₂²	1	1	yes	characteristic, complemented
131	#65178	C₂²	1	1	yes	characteristic, complemented
132	#65170	C₂²	1	1	yes	characteristic
133	D₅×#107	C₂²	1	1	yes	characteristic
134	D₅×#107	C₂²	1	1	yes	characteristic
135	#65166	C₂²	1	1	yes	characteristic, complemented
136	#65164	C₂²	1	1	yes	characteristic, complemented
137	#65161	C₂²	1	1	yes	characteristic
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65136	C₂²	1	1	yes	characteristic, complemented
140	#65135	C₂²	1	1	yes	characteristic
141	#65133	C₂²	1	1	yes	characteristic
142	#65133	C₂²	1	1	yes	characteristic, complemented
143	#65132	C₂²	1	1	yes	characteristic
144	#65128	C₂²	1	1	yes	characteristic
145	#65128	C₂²	1	1	yes	characteristic
146	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
147	#65119	C₂²	1	1	yes	characteristic, complemented
148	#65118	C₂²	1	1	yes	characteristic, complemented
149	#65117	C₂²	1	1	yes	characteristic, complemented
150	#65117	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic
152	#65107	C₂²	1	1	yes	characteristic, complemented
153	#65106	C₂²	1	1	yes	characteristic, complemented
154	#65106	C₂²	1	1	yes	characteristic, complemented
155	#65093	C₂²	1	1	yes	characteristic
156	#65092	C₂²	1	1	yes	characteristic
157	#65092	C₂²	1	1	yes	characteristic
158	#65092	C₂²	1	1	yes	characteristic
159	#65089	C₂²	1	1	yes	characteristic
160	#65088	C₂²	1	1	yes	characteristic, complemented
161	#65084	C₂²	1	1	yes	characteristic
162	#65083	C₂²	1	1	yes	characteristic, complemented
163	#65081	C₂²	1	1	yes	characteristic, complemented
164	#65081	C₂²	1	1	yes	characteristic, complemented
165	#65079	C₂²	1	1	yes	characteristic, complemented
166	#65077	C₂²	1	1	yes	characteristic
167	#65076	C₂²	1	1	yes	characteristic
168	#65075	C₂²	1	1	yes	characteristic
169	#65075	C₂²	1	1	yes	characteristic
170	#65075	C₂²	1	1	yes	characteristic, complemented
171	#65061	C₂²	1	1	yes	characteristic
172	#65060	C₂²	1	1	yes	characteristic
173	#65060	C₂²	1	1	yes	characteristic
174	#65059	C₂²	1	1	yes	characteristic
175	D₅×#102	C₂²	1	1	yes	characteristic
176	D₅×#102	C₂²	1	1	yes	characteristic
177	#65057	C₂²	1	1	yes	characteristic
178	#65054	C₂²	1	1	yes	characteristic
179	#65053	C₂²	1	1	yes	characteristic
180	#65053	C₂²	1	1	yes	characteristic
181	#65052	C₂²	1	1	yes	characteristic, complemented
182	#65049	C₂²	1	1	yes	characteristic
183	#65049	C₂²	1	1	yes	characteristic
184	#65049	C₂²	1	1	yes	characteristic, complemented
185	#65049	C₂²	1	1	yes	characteristic, complemented
186	#65048	C₂²	1	1	yes	characteristic
187	#65048	C₂²	1	1	yes	characteristic
188	#65048	C₂²	1	1	yes	characteristic, complemented
189	#65045	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65003	C₂²	1	1	yes	characteristic, complemented
192	#65002	C₂²	1	1	yes	characteristic
193	#65000	C₂²	1	1	yes	characteristic
194	#64999	C₂²	1	1	yes	characteristic, complemented
195	#64997	C₂²	1	1	yes	characteristic
196	#64996	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic
200	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61345	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	—	2	1	no	—
207	C₂×Q₈×D₅	—	2	1	no	—
208	C₂×Q₈×D₅	—	2	1	no	—
209	C₂×#711	—	2	1	no	—
210	C₂×#711	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×#709	—	2	1	no	—
213	C₂²×C₄×D₅	—	2	1	no	—
214	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	—	2	1	no	—
218	C₅×C₄⋊Q₈	—	2	1	no	—
219	C₅×C₄⋊Q₈	—	2	1	no	—
220	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×#127	C₂³	1	1	yes	characteristic
224	C₅×#124	—	2	1	no	—
225	C₅×#124	C₂³	1	1	yes	characteristic
226	C₅×#124	C₂³	1	1	yes	characteristic
227	C₅×#123	—	2	1	no	—
228	C₅×#123	—	2	1	no	—
229	C₄×C₅×Q₈	—	2	1	no	—
230	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	—	2	1	no	—
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	#4093	—	2	1	no	—
239	#4093	C₂³	1	1	yes	characteristic
240	#4092	—	2	1	no	—
241	#4092	—	2	1	no	—
242	#4092	—	2	1	no	—
243	#4092	—	2	1	no	—
244	#4092	—	2	1	no	—
245	#4092	—	2	1	no	—
246	#4092	—	2	1	no	—
247	#4092	D₄	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	Q₈×Dic₅	C₂³	1	1	yes	characteristic
252	#4090	—	2	1	no	—
253	#4090	—	2	1	no	—
254	#4090	—	2	1	no	—
255	#4090	D₄	1	1	yes	characteristic
256	#4090	C₂³	1	1	yes	characteristic
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#688	C₂³	1	1	yes	characteristic
259	C₂×#688	C₂³	1	1	yes	characteristic
260	C₂×#688	C₂³	1	1	yes	characteristic
261	#4086	C₂³	1	1	yes	characteristic
262	#4086	C₂³	1	1	yes	characteristic
263	#4086	C₂³	1	1	yes	characteristic
264	#4085	—	2	1	no	—
265	#4085	—	2	1	no	—
266	#4085	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4084	—	2	1	no	—
269	#4083	—	2	1	no	—
270	#4083	—	2	1	no	—
271	#4082	C₂³	1	1	yes	characteristic
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×#686	C₂³	1	1	yes	characteristic
275	C₂×#686	C₂³	1	1	yes	characteristic
276	#4076	—	2	1	no	—
277	#4075	—	2	1	no	—
278	C₄×C₂²⋊D₅	—	2	1	no	—
279	C₄×C₂²⋊D₅	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₂×#683	—	2	1	no	—
282	#4065	—	2	4	no	—
283	#4062	—	2	4	no	—
284	#4060	—	2	4	no	—
285	C₂×D₄₀	C₂³	1	1	yes	characteristic
286	C₂×D₄₀	C₂³	1	1	yes	characteristic
287	C₂×#677	C₂³	1	1	yes	characteristic
288	C₂×#676	C₂³	1	1	yes	characteristic
289	C₂×#676	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
292	#4044	—	2	1	no	—
293	#4043	—	2	1	no	—
294	#4043	D₄	1	1	yes	characteristic
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	—	2	1	no	—
301	#4042	—	2	1	no	—
302	#4042	—	2	1	no	—
303	#4042	—	2	1	no	—
304	#4042	D₄	1	1	yes	characteristic
305	#4042	D₄	1	1	yes	characteristic
306	#4040	—	2	1	no	—
307	#4040	—	2	1	no	—
308	#4039	—	2	1	no	—
309	#4039	—	2	1	no	—
310	#4039	—	2	1	no	—
311	#4039	—	2	1	no	—
312	#4039	—	2	1	no	—
313	#4039	C₂³	1	1	yes	characteristic
314	#4039	C₂³	1	1	yes	characteristic
315	#4039	C₂³	1	1	yes	characteristic
316	#4039	C₂³	1	1	yes	characteristic
317	#4039	C₂³	1	1	yes	characteristic
318	#4038	—	2	1	no	—
319	#4038	C₂³	1	1	yes	characteristic
320	D₅×C₄⋊C₄	—	2	1	no	—
321	D₅×C₄⋊C₄	—	2	1	no	—
322	D₅×C₄⋊C₄	—	2	1	no	—
323	D₅×C₄⋊C₄	—	2	1	no	—
324	D₅×C₄⋊C₄	—	2	1	no	—
325	D₅×C₄⋊C₄	—	2	1	no	—
326	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	#4036	—	2	1	no	—
330	#4036	—	2	1	no	—
331	#4036	C₂³	1	1	yes	characteristic
332	#4036	C₂³	1	1	yes	characteristic
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4035	D₄	1	1	yes	characteristic
336	#4035	D₄	1	1	yes	characteristic
337	#4034	—	2	1	no	—
338	#4034	—	2	1	no	—
339	#4034	—	2	1	no	—
340	#4034	—	2	1	no	—
341	#4034	—	2	1	no	—
342	#4034	D₄	1	1	yes	characteristic
343	#4034	C₂³	1	1	yes	characteristic
344	#4034	C₂³	1	1	yes	characteristic
345	#4034	C₂³	1	1	yes	characteristic
346	#4034	C₂³	1	1	yes	characteristic
347	#4033	C₂³	1	1	yes	characteristic
348	#4032	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4030	—	2	1	no	—
352	#4030	—	2	1	no	—
353	#4030	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4028	—	2	1	no	—
360	#4028	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	D₅×C₂²⋊C₄	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4024	—	2	1	no	—
370	#4023	—	2	1	no	—
371	#4023	—	2	1	no	—
372	#4022	—	2	1	no	—
373	#4021	C₂³	1	1	yes	characteristic
374	#4021	C₂³	1	1	yes	characteristic
375	#4020	C₂³	1	1	yes	characteristic
376	C₄×D₂₀	—	2	1	no	—
377	C₄×D₂₀	—	2	1	no	—
378	C₄×D₂₀	—	2	1	no	—
379	C₄×D₂₀	—	2	1	no	—
380	C₄×D₂₀	C₂³	1	1	yes	characteristic
381	C₄×D₂₀	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	#4018	—	2	1	no	—
386	#4018	—	2	1	no	—
387	#4018	—	2	1	no	—
388	#4018	—	2	1	no	—
389	#4018	C₂³	1	1	yes	characteristic
390	#4018	C₂³	1	1	yes	characteristic
391	C₄²×D₅	—	2	1	no	—
392	C₄²×D₅	C₂³	1	1	yes	characteristic
393	#4016	—	2	1	no	—
394	#4016	—	2	1	no	—
395	#4016	C₂³	1	1	yes	characteristic
396	#4016	C₂³	1	1	yes	characteristic
397	#4015	—	2	1	no	—
398	#4015	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	—	2	1	no	—
400	C₄×Dic₁₀	—	2	1	no	—
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#97	C₂³	1	1	yes	characteristic
423	C₅×#97	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3950	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	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	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3941	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	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	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	#3935	C₂³	1	1	yes	characteristic
480	#3935	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3506	—	5	1	no	—
483	#3503	—	5	1	no	—
484	#3375	—	5	1	no	—
485	#3375	—	5	1	no	—
486	#3375	—	5	1	no	—
487	#3375	D₅	1	1	yes	characteristic, complemented
488	#3370	—	5	1	no	—
489	#3370	—	5	1	no	—
490	#3370	—	5	1	no	—
491	#3370	—	5	1	no	—
492	#3368	—	5	1	no	—
493	#3368	—	5	1	no	—
494	#3367	—	5	1	no	—
495	#3367	—	5	1	no	—
496	#3364	—	5	1	no	—
497	#3364	—	5	1	no	—
498	#3358	—	5	1	no	—
499	#3358	—	5	1	no	—
500	#3141	—	5	1	no	—
501	#3136	—	5	1	no	—
502	#3136	—	5	1	no	—
503	#3083	—	5	1	no	—
504	#3083	—	5	1	no	—
505	C₂×#474	—	5	1	no	—
506	#3045	—	5	1	no	—
507	#3045	—	5	1	no	—
508	#3035	—	5	1	no	—
509	#2962	—	5	1	no	—
510	#2951	—	5	1	no	—
511	#2951	—	5	1	no	—
512	C₄×AGL(1,ℤ/8)	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	—	2	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×D₄	—	2	1	no	—
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	#713	—	2	2	no	—
538	#713	—	2	2	no	—
539	#713	—	2	2	no	—
540	#713	#41	1	4	yes	complemented
541	Q₈×D₅	—	8	2	no	—
542	Q₈×D₅	—	8	2	no	—
543	Q₈×D₅	—	8	2	no	—
544	#711	—	2	2	no	—
545	#711	—	2	2	no	—
546	#711	—	8	2	no	—
547	D₄×D₅	—	2	2	no	—
548	D₄×D₅	—	2	2	no	—
549	#709	—	8	2	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	8	2	no	—
573	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	2	1	no	—
578	C₂×Dic₁₀	—	2	1	no	—
579	C₂×Dic₁₀	—	2	1	no	—
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
582	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
583	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
584	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
585	C₅×Q₁₆	—	2	2	no	—
586	C₅×SD₁₆	—	2	2	no	—
587	C₅×SD₁₆	—	2	2	no	—
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₄²×C₅	—	2	1	no	—
613	C₄²×C₅	—	2	1	no	—
614	C₄²×C₅	—	2	1	no	—
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
617	C₄²×C₅	C₂⁴	1	1	yes	characteristic
618	C₄²×C₅	C₂⁴	1	1	yes	characteristic
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	#689	—	2	2	no	—
624	#688	—	2	2	no	—
625	#688	—	2	2	no	—
626	#688	—	2	2	no	—
627	#686	—	2	2	no	—
628	#686	—	2	2	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	C₂×D₄	1	1	yes	characteristic
647	#685	C₂×D₄	1	1	yes	characteristic
648	#685	C₂×D₄	1	1	yes	characteristic
649	#685	C₂×D₄	1	1	yes	characteristic
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	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	C₂×D₄	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂×D₄	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	#683	—	2	1	no	—
681	#683	C₂×D₄	1	1	yes	characteristic
682	#683	C₂×D₄	1	1	yes	characteristic
683	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
702	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	D₄₀	—	2	2	no	—
708	D₄₀	—	2	2	no	—
709	#677	—	2	2	no	—
710	#676	—	2	2	no	—
711	#676	—	2	2	no	—
712	C₈×D₅	—	2	2	no	—
713	C₈×D₅	—	2	2	no	—
714	C₂×AGL(1,ℤ/8)	—	5	1	no	—
715	C₂×#135	—	5	1	no	—
716	C₂×#135	—	5	1	no	—
717	#559	—	5	1	no	—
718	#559	—	5	1	no	—
719	#559	—	5	1	no	—
720	#559	C₂×D₅	1	1	yes	characteristic
721	Q₈²	—	5	1	no	—
722	Q₈²	C₂×D₅	1	1	yes	characteristic, complemented
723	#557	—	5	1	no	—
724	#557	—	5	1	no	—
725	#556	—	5	1	no	—
726	#556	—	5	1	no	—
727	#555	—	10	1	no	—
728	#554	—	5	1	no	—
729	#554	—	5	1	no	—
730	#554	—	10	1	no	—
731	#554	—	10	1	no	—
732	#553	—	10	1	no	—
733	#553	—	10	1	no	—
734	#550	—	5	1	no	—
735	#550	—	5	1	no	—
736	D₄×Q₈	—	5	1	no	—
737	D₄×Q₈	—	5	1	no	—
738	D₄×Q₈	—	10	1	no	—
739	D₄×Q₈	—	10	1	no	—
740	#547	—	10	1	no	—
741	#544	—	5	1	no	—
742	#544	—	5	1	no	—
743	#544	—	10	1	no	—
744	#544	—	10	1	no	—
745	#538	—	10	1	no	—
746	#538	—	10	1	no	—
747	#535	—	5	1	no	—
748	#535	—	5	1	no	—
749	#533	—	5	1	no	—
750	#533	—	10	1	no	—
751	#532	—	5	1	no	—
752	C₂×C₄⋊Q₈	—	5	1	no	—
753	C₂×C₄⋊Q₈	—	10	1	no	—
754	#525	—	10	1	no	—
755	#525	—	10	1	no	—
756	#520	—	5	1	no	—
757	#520	—	5	1	no	—
758	#520	—	5	1	no	—
759	#520	—	5	1	no	—
760	C₄×#41	—	5	1	no	—
761	C₂×C₄×D₄	—	5	1	no	—
762	#490	—	5	1	no	—
763	#490	—	5	1	no	—
764	#490	—	5	1	no	—
765	#490	—	5	1	no	—
766	#489	—	5	1	no	—
767	#489	—	5	1	no	—
768	#489	—	5	1	no	—
769	#489	—	5	1	no	—
770	#489	—	5	1	no	—
771	#489	—	5	1	no	—
772	#489	C₂×D₅	1	1	yes	characteristic
773	#489	C₂×D₅	1	1	yes	characteristic, complemented
774	#488	—	5	1	no	—
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#487	—	5	1	no	—
779	#487	—	5	1	no	—
780	#486	—	5	1	no	—
781	#486	—	5	1	no	—
782	#486	—	5	1	no	—
783	#486	—	5	1	no	—
784	#486	—	5	1	no	—
785	#486	C₂×D₅	1	1	yes	characteristic
786	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	C₂×D₅	1	1	yes	characteristic, complemented
798	#474	—	5	1	no	—
799	#474	—	5	1	no	—
800	#474	—	5	1	no	—
801	#474	—	5	1	no	—
802	#474	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	C₂×D₅	1	1	yes	characteristic
809	#474	C₂×D₅	1	1	yes	characteristic, complemented
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#464	C₂×D₅	1	1	yes	characteristic
815	#464	C₂×D₅	1	1	yes	characteristic, complemented
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#462	—	5	1	no	—
823	#461	—	5	1	no	—
824	#460	—	5	1	no	—
825	#460	—	5	1	no	—
826	#460	—	5	1	no	—
827	#460	—	5	1	no	—
828	#460	C₂×D₅	1	1	yes	characteristic
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#459	—	5	1	no	—
833	#459	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#446	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#446	C₂×D₅	1	1	yes	characteristic, complemented
840	C₈×Q₈	—	5	1	no	—
841	C₈×Q₈	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	C₂×D₅	1	1	yes	characteristic
853	#440	C₂×D₅	1	1	yes	characteristic, complemented
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×Q₁₆	—	5	1	no	—
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×D₈	—	5	1	no	—
861	C₄×D₈	—	5	1	no	—
862	C₄×D₈	—	5	1	no	—
863	C₄×D₈	—	5	1	no	—
864	C₄×D₈	—	5	1	no	—
865	C₄×D₈	—	5	1	no	—
866	#428	—	5	1	no	—
867	C₂×#107	—	5	1	no	—
868	C₂×#107	—	5	1	no	—
869	#424	—	5	1	no	—
870	#424	—	5	1	no	—
871	C₂×C₄⋊C₈	—	5	1	no	—
872	#418	—	5	1	no	—
873	#417	—	5	1	no	—
874	#417	—	5	1	no	—
875	#417	—	5	1	no	—
876	#417	—	5	1	no	—
877	#417	—	5	1	no	—
878	#416	—	5	1	no	—
879	#416	—	5	1	no	—
880	C₂×#102	—	5	1	no	—
881	C₂×#102	—	5	1	no	—
882	#405	—	5	1	no	—
883	#405	—	5	1	no	—
884	C₄×M₁₆	—	5	1	no	—
885	C₂³×C₅	—	2	1	no	—
886	C₂³×C₅	—	2	1	no	—
887	C₂²×D₅	—	2	1	no	—
888	C₂²×D₅	—	2	1	no	—
889	C₂²×D₅	—	2	1	no	—
890	C₂²×D₅	—	4	2	no	—
891	C₂²×D₅	—	8	1	no	—
892	C₂²×D₅	—	8	1	no	—
893	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
894	C₅×Q₈	—	2	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	4	1	no	—
898	C₅×Q₈	—	8	1	no	—
899	C₅×Q₈	—	8	1	no	—
900	C₅×Q₈	—	8	1	no	—
901	C₅×Q₈	C₂×#41	1	2	yes	—
902	C₅×D₄	—	2	1	no	—
903	C₅×D₄	—	2	1	no	—
904	C₅×D₄	—	2	1	no	—
905	C₅×D₄	—	2	1	no	—
906	C₅×D₄	—	8	1	no	—
907	C₅×D₄	—	8	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	8	1	no	—
915	C₂×C₄×C₅	—	8	1	no	—
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
923	C₂²⋊D₅	—	4	2	no	—
924	C₂²⋊D₅	—	4	2	no	—
925	C₂²⋊D₅	—	4	2	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂²⋊D₅	—	8	1	no	—
928	C₂²⋊D₅	—	8	1	no	—
929	C₂²⋊D₅	—	8	1	no	—
930	C₂²⋊D₅	—	8	1	no	—
931	C₂×Dic₅	—	2	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	—	4	2	no	—
937	C₂×Dic₅	—	4	2	no	—
938	C₂×Dic₅	—	8	1	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	D₂₀	—	2	4	no	—
947	D₂₀	—	2	1	no	—
948	D₂₀	—	2	1	no	—
949	D₂₀	—	2	1	no	—
950	D₂₀	—	2	1	no	—
951	D₂₀	—	2	1	no	—
952	D₂₀	—	4	2	no	—
953	D₂₀	—	8	1	no	—
954	D₂₀	—	8	1	no	—
955	D₂₀	C₂×#41	1	2	yes	—
956	C₄×D₅	—	2	4	no	—
957	C₄×D₅	—	2	2	no	—
958	C₄×D₅	—	4	1	no	—
959	C₄×D₅	—	4	2	no	—
960	C₄×D₅	—	4	2	no	—
961	C₄×D₅	—	4	2	no	—
962	C₄×D₅	—	4	2	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	—	8	1	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	—	8	1	no	—
973	C₄×D₅	C₂×#41	1	2	yes	—
974	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
975	Dic₁₀	—	2	2	no	—
976	Dic₁₀	—	2	2	no	—
977	Dic₁₀	—	2	1	no	—
978	Dic₁₀	—	2	1	no	—
979	Dic₁₀	—	4	1	no	—
980	Dic₁₀	—	4	2	no	—
981	Dic₁₀	—	4	2	no	—
982	Dic₁₀	—	8	1	no	—
983	Dic₁₀	—	8	1	no	—
984	Dic₁₀	—	8	1	no	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	—	2	1	no	—
988	C₅×C₈	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	—	2	1	no	—
992	#168	—	2	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂×#41	—	5	1	no	—
995	C₂×#41	—	5	1	no	—
996	C₂×#41	—	10	1	no	—
997	C₂×#41	—	10	1	no	—
998	C₂²×Q₈	—	10	1	no	—
999	C₂²×Q₈	—	10	1	no	—
1000	C₂²×Q₈	—	10	1	no	—
1001	C₂²×D₄	—	5	1	no	—
1002	C₂³×C₄	—	10	1	no	—
1003	AGL(1,ℤ/8)	—	10	4	no	—
1004	#135	—	10	4	no	—
1005	#135	—	10	4	no	—
1006	C₂×Q₁₆	—	5	1	no	—
1007	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	—	5	1	no	—
1012	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1013	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	5	1	no	—
1016	C₂×D₈	—	5	1	no	—
1017	C₂×D₈	—	5	1	no	—
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂×M₁₆	—	5	1	no	—
1020	C₂²×C₈	—	5	1	no	—
1021	C₂²×C₈	—	5	1	no	—
1022	C₄⋊Q₈	—	2	1	no	—
1023	C₄⋊Q₈	—	2	1	no	—
1024	C₄⋊Q₈	—	2	1	no	—
1025	C₄⋊Q₈	—	5	1	no	—
1026	C₄⋊Q₈	—	5	1	no	—
1027	C₄⋊Q₈	—	5	1	no	—
1028	C₄⋊Q₈	—	5	1	no	—
1029	C₄⋊Q₈	—	5	1	no	—
1030	C₄⋊Q₈	—	5	1	no	—
1031	C₄⋊Q₈	—	5	1	no	—
1032	C₄⋊Q₈	—	5	1	no	—
1033	C₄⋊Q₈	—	10	1	no	—
1034	C₄⋊Q₈	—	10	1	no	—
1035	C₄⋊Q₈	—	10	1	no	—
1036	C₄⋊Q₈	—	10	1	no	—
1037	C₄⋊Q₈	—	10	1	no	—
1038	C₄⋊Q₈	—	10	1	no	—
1039	C₄⋊Q₈	—	10	1	no	—
1040	C₄⋊Q₈	—	10	1	no	—
1041	C₄⋊Q₈	—	10	1	no	—
1042	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1043	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1044	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1045	#127	—	5	1	no	—
1046	#127	—	5	1	no	—
1047	#127	—	5	1	no	—
1048	#127	—	5	1	no	—
1049	#127	C₂²×D₅	1	1	yes	characteristic
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#125	—	5	1	no	—
1055	#125	—	5	1	no	—
1056	#125	—	5	1	no	—
1057	#125	—	5	1	no	—
1058	#125	—	5	1	no	—
1059	#125	—	5	1	no	—
1060	#125	—	10	1	no	—
1061	#125	—	10	1	no	—
1062	#125	—	10	1	no	—
1063	#125	—	10	1	no	—
1064	#125	—	10	1	no	—
1065	#125	—	10	1	no	—
1066	#124	—	2	1	no	—
1067	#124	—	5	1	no	—
1068	#124	—	5	1	no	—
1069	#124	—	5	1	no	—
1070	#124	—	5	1	no	—
1071	#124	—	10	1	no	—
1072	#124	—	10	1	no	—
1073	#124	—	10	1	no	—
1074	#124	C₂²×D₅	1	1	yes	characteristic
1075	#124	C₂²×D₅	1	1	yes	characteristic
1076	#123	—	2	1	no	—
1077	#123	—	2	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	#123	—	10	1	no	—
1083	#123	—	10	1	no	—
1084	C₂²⋊Q₈	—	5	1	no	—
1085	C₂²⋊Q₈	—	5	1	no	—
1086	C₂²⋊Q₈	—	5	1	no	—
1087	C₂²⋊Q₈	—	5	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	—	10	1	no	—
1103	C₂²⋊Q₈	—	10	1	no	—
1104	C₂²⋊Q₈	—	10	1	no	—
1105	C₂²⋊Q₈	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#120	—	10	1	no	—
1119	#120	—	10	1	no	—
1120	#120	—	10	1	no	—
1121	#120	—	10	1	no	—
1122	C₄×Q₈	—	2	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×Q₈	—	5	1	no	—
1131	C₄×Q₈	—	5	1	no	—
1132	C₄×Q₈	—	10	1	no	—
1133	C₄×Q₈	—	10	1	no	—
1134	C₄×Q₈	—	10	1	no	—
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1138	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1171	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1172	#117	—	5	1	no	—
1173	#117	—	5	1	no	—
1174	#117	—	5	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	C₂×C₄⋊C₄	—	5	1	no	—
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	10	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄⋊C₄	—	10	1	no	—
1188	C₂×C₄⋊C₄	—	10	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	10	1	no	—
1192	C₂×C₂²⋊C₄	—	10	1	no	—
1193	C₂×C₄²	—	5	1	no	—
1194	C₂×C₄²	—	10	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
1197	#107	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	—	5	1	no	—
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	C₂²×D₅	1	1	yes	characteristic
1203	#107	C₂²×D₅	1	1	yes	characteristic
1204	#107	C₂²×D₅	1	1	yes	characteristic
1205	#106	—	5	1	no	—
1206	#106	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1217	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1218	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	C₂²×D₅	1	1	yes	characteristic
1230	#103	C₂²×D₅	1	1	yes	characteristic
1231	#103	C₂²×D₅	1	1	yes	characteristic
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	C₂²×D₅	1	1	yes	characteristic
1254	#102	C₂²×D₅	1	1	yes	characteristic
1255	#102	C₂²×D₅	1	1	yes	characteristic
1256	#102	C₂²×D₅	1	1	yes	characteristic
1257	#102	C₂²×D₅	1	1	yes	characteristic
1258	#102	C₂²×D₅	1	1	yes	characteristic
1259	#97	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	—	5	1	no	—
1263	#97	C₂²×D₅	1	1	yes	characteristic
1264	#97	C₂²×D₅	1	1	yes	characteristic
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	—	5	1	no	—
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	—	5	1	no	—
1270	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1271	C₂²×C₅	—	4	1	no	—
1272	C₂²×C₅	—	4	1	no	—
1273	C₂²×C₅	—	4	1	no	—
1274	C₂²×C₅	—	4	1	no	—
1275	C₂²×C₅	—	4	1	no	—
1276	C₂²×C₅	—	4	1	no	—
1277	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	2	1	no	—
1280	C₂×D₅	—	2	2	no	—
1281	C₂×D₅	—	4	1	no	—
1282	C₂×D₅	—	4	1	no	—
1283	C₂×D₅	—	4	1	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	4	1	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	8	4	no	—
1290	C₂×D₅	#548	1	2	yes	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	2	1	no	—
1293	C₄×C₅	—	2	1	no	—
1294	C₄×C₅	—	2	2	no	—
1295	C₄×C₅	—	2	1	no	—
1296	C₄×C₅	—	2	1	no	—
1297	C₄×C₅	—	2	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	—	4	1	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	—	4	1	no	—
1302	C₄×C₅	—	4	1	no	—
1303	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1304	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1305	Dic₅	—	2	1	no	—
1306	Dic₅	—	2	1	no	—
1307	Dic₅	—	2	1	no	—
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	2	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	#548	1	2	yes	—
1316	Dic₅	#576	1	2	yes	—
1317	C₂⁴	—	10	1	no	—
1318	#41	—	5	4	no	—
1319	#41	—	10	2	no	—
1320	#41	—	10	2	no	—
1321	#41	—	10	2	no	—
1322	#41	—	10	2	no	—
1323	#41	—	10	2	no	—
1324	#41	—	40	2	no	—
1325	#41	—	40	2	no	—
1326	C₂×Q₈	—	2	1	no	—
1327	C₂×Q₈	—	2	1	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	5	1	no	—
1330	C₂×Q₈	—	5	1	no	—
1331	C₂×Q₈	—	5	1	no	—
1332	C₂×Q₈	—	5	1	no	—
1333	C₂×Q₈	—	10	1	no	—
1334	C₂×Q₈	—	10	1	no	—
1335	C₂×Q₈	—	10	1	no	—
1336	C₂×Q₈	—	10	1	no	—
1337	C₂×Q₈	—	10	1	no	—
1338	C₂×Q₈	—	40	2	no	—
1339	C₂×Q₈	—	40	2	no	—
1340	C₂×Q₈	—	40	2	no	—
1341	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1342	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1343	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	5	1	no	—
1347	C₂×D₄	—	5	1	no	—
1348	C₂×D₄	—	5	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	2	no	—
1352	C₂×D₄	—	10	2	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	10	1	no	—
1358	C₂×D₄	—	10	1	no	—
1359	C₂×D₄	—	10	1	no	—
1360	C₂×D₄	—	10	1	no	—
1361	C₂×D₄	—	10	1	no	—
1362	C₂×D₄	—	10	1	no	—
1363	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1364	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	40	2	no	—
1389	Q₁₆	—	2	2	no	—
1390	Q₁₆	—	10	2	no	—
1391	SD₁₆	—	2	2	no	—
1392	SD₁₆	—	2	2	no	—
1393	SD₁₆	—	10	2	no	—
1394	SD₁₆	—	10	2	no	—
1395	SD₁₆	—	10	2	no	—
1396	SD₁₆	—	10	2	no	—
1397	D₈	—	10	2	no	—
1398	D₈	—	10	2	no	—
1399	D₈	—	10	2	no	—
1400	D₈	—	10	2	no	—
1401	M₁₆	—	10	2	no	—
1402	M₁₆	—	10	2	no	—
1403	C₂×C₈	—	5	1	no	—
1404	C₂×C₈	—	5	1	no	—
1405	C₂×C₈	—	5	1	no	—
1406	C₂×C₈	—	5	1	no	—
1407	C₂×C₈	—	10	2	no	—
1408	C₂×C₈	—	10	2	no	—
1409	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1410	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1411	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1412	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	5	1	no	—
1422	C₄⋊C₄	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	5	1	no	—
1425	C₄⋊C₄	—	5	1	no	—
1426	C₄⋊C₄	—	5	1	no	—
1427	C₄⋊C₄	—	5	1	no	—
1428	C₄⋊C₄	—	5	1	no	—
1429	C₄⋊C₄	—	5	1	no	—
1430	C₄⋊C₄	—	5	1	no	—
1431	C₄⋊C₄	—	5	1	no	—
1432	C₄⋊C₄	—	5	1	no	—
1433	C₄⋊C₄	—	5	1	no	—
1434	C₄⋊C₄	—	5	1	no	—
1435	C₄⋊C₄	—	5	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1462	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1463	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1464	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1465	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1466	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	5	1	no	—
1475	C₂²⋊C₄	—	5	1	no	—
1476	C₂²⋊C₄	—	5	1	no	—
1477	C₂²⋊C₄	—	5	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	5	1	no	—
1504	C₄²	—	5	1	no	—
1505	C₄²	—	5	1	no	—
1506	C₄²	—	5	1	no	—
1507	C₄²	—	5	1	no	—
1508	C₄²	—	10	1	no	—
1509	C₄²	—	10	1	no	—
1510	C₄²	—	10	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	C₂³×D₅	1	1	yes	characteristic
1516	C₄²	C₂³×D₅	1	1	yes	characteristic
1517	C₄²	C₂³×D₅	1	1	yes	characteristic
1518	C₂×C₅	—	8	1	no	—
1519	C₂×C₅	—	8	1	no	—
1520	C₂×C₅	C₂×#548	1	1	yes	characteristic
1521	C₂×C₅	C₂×#576	1	1	yes	characteristic
1522	C₂×C₅	#3586	1	1	yes	characteristic
1523	D₅	—	2	2	no	—
1524	D₅	—	4	2	no	—
1525	D₅	—	8	1	no	—
1526	D₅	—	8	1	no	—
1527	C₂³	—	2	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	5	1	no	—
1530	C₂³	—	10	1	no	—
1531	C₂³	—	10	1	no	—
1532	C₂³	—	10	1	no	—
1533	C₂³	—	20	2	no	—
1534	C₂³	—	40	1	no	—
1535	C₂³	—	40	1	no	—
1536	Q₈	—	2	1	no	—
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	4	1	no	—
1540	Q₈	—	8	1	no	—
1541	Q₈	—	8	1	no	—
1542	Q₈	—	8	1	no	—
1543	Q₈	—	10	2	no	—
1544	Q₈	—	10	2	no	—
1545	Q₈	—	10	1	no	—
1546	Q₈	—	10	1	no	—
1547	Q₈	—	20	1	no	—
1548	Q₈	—	20	2	no	—
1549	Q₈	—	20	2	no	—
1550	Q₈	—	40	1	no	—
1551	Q₈	—	40	1	no	—
1552	Q₈	—	40	1	no	—
1553	Q₈	D₅×#41	1	2	yes	—
1554	D₄	—	2	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	5	2	no	—
1559	D₄	—	8	1	no	—
1560	D₄	—	8	1	no	—
1561	D₄	—	10	4	no	—
1562	D₄	—	10	1	no	—
1563	D₄	—	10	1	no	—
1564	D₄	—	10	1	no	—
1565	D₄	—	10	1	no	—
1566	D₄	—	10	1	no	—
1567	D₄	—	20	2	no	—
1568	D₄	—	20	2	no	—
1569	D₄	—	20	2	no	—
1570	D₄	—	20	2	no	—
1571	D₄	—	40	1	no	—
1572	D₄	—	40	1	no	—
1573	D₄	—	40	1	no	—
1574	D₄	—	40	1	no	—
1575	D₄	—	40	1	no	—
1576	D₄	—	40	1	no	—
1577	D₄	—	40	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	5	1	no	—
1585	C₂×C₄	—	5	1	no	—
1586	C₂×C₄	—	5	2	no	—
1587	C₂×C₄	—	5	2	no	—
1588	C₂×C₄	—	5	1	no	—
1589	C₂×C₄	—	5	1	no	—
1590	C₂×C₄	—	5	1	no	—
1591	C₂×C₄	—	5	1	no	—
1592	C₂×C₄	—	5	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	10	2	no	—
1596	C₂×C₄	—	10	4	no	—
1597	C₂×C₄	—	10	1	no	—
1598	C₂×C₄	—	10	1	no	—
1599	C₂×C₄	—	10	1	no	—
1600	C₂×C₄	—	10	1	no	—
1601	C₂×C₄	—	10	1	no	—
1602	C₂×C₄	—	20	1	no	—
1603	C₂×C₄	—	20	2	no	—
1604	C₂×C₄	—	20	2	no	—
1605	C₂×C₄	—	20	2	no	—
1606	C₂×C₄	—	20	2	no	—
1607	C₂×C₄	—	20	2	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	—	40	1	no	—
1610	C₂×C₄	—	40	1	no	—
1611	C₂×C₄	—	40	1	no	—
1612	C₂×C₄	—	40	1	no	—
1613	C₂×C₄	—	40	1	no	—
1614	C₂×C₄	—	40	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	—	40	1	no	—
1617	C₂×C₄	—	40	1	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1621	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1622	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1623	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1624	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1627	C₈	—	2	1	no	—
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	10	1	no	—
1632	C₈	—	10	1	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₅	#61345	1	1	yes	characteristic, complemented, Sylow
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	5	2	no	—
1643	C₂²	—	10	1	no	—
1644	C₂²	—	10	1	no	—
1645	C₂²	—	10	2	no	—
1646	C₂²	—	20	1	no	—
1647	C₂²	—	20	1	no	—
1648	C₂²	—	20	1	no	—
1649	C₂²	—	20	1	no	—
1650	C₂²	—	20	1	no	—
1651	C₂²	—	20	1	no	—
1652	C₂²	—	20	1	no	—
1653	C₂²	—	20	1	no	—
1654	C₂²	—	40	4	no	—
1655	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1656	C₄	—	2	2	no	—
1657	C₄	—	2	1	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	5	2	no	—
1669	C₄	—	5	2	no	—
1670	C₄	—	10	1	no	—
1671	C₄	—	10	1	no	—
1672	C₄	—	10	1	no	—
1673	C₄	—	10	1	no	—
1674	C₄	—	10	1	no	—
1675	C₄	—	20	1	no	—
1676	C₄	—	20	1	no	—
1677	C₄	—	20	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	C₂×D₅×#41	1	1	yes	characteristic
1681	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1682	C₂	—	8	1	no	—
1683	C₂	—	8	1	no	—
1684	C₂	—	10	2	no	—
1685	C₂	—	20	2	no	—
1686	C₂	—	40	1	no	—
1687	C₂	—	40	1	no	—
1688	C₂	D₅×#548	1	1	yes	characteristic
1689	C₂	#10619098	1	1	yes	characteristic
1690	C₂	D₅×#576	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×#3375	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3375	D₅
hypocenter	C₅	#61345
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3375

Complements

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

N	H ≅ G/N	type
1. #10618964	C₂	semidirect
2. #10618942	C₂	semidirect
3. C₅×#3375	C₂	semidirect
4. #10615445	C₂	semidirect
5. #10615439	C₂	semidirect
6. #10613414	C₂	semidirect
7. #10613411	C₂	semidirect
8. #10613403	C₂	semidirect
9. #10613401	C₂	semidirect
10. #10613315	C₂	semidirect
11. #10613294	C₂	semidirect
12. #10612842	C₂	semidirect
13. #10612831	C₂	semidirect
14. #10612723	C₂	semidirect
15. #10612699	C₂	semidirect
16. D₅×#474	C₂	semidirect
17. #10612686	C₂	semidirect
18. #10612333	C₂	semidirect
19. #10612328	C₂	semidirect
20. #10612316	C₂	semidirect
21. #10612311	C₂	semidirect
22. #10612117	C₂	semidirect
23. #10612103	C₂	semidirect
24. #10611702	C₂	semidirect
25. #10611692	C₂	semidirect
26. #10611509	C₂	semidirect
27. #10611504	C₂	semidirect
28. #10611487	C₂	semidirect
29. #10611483	C₂	semidirect
30. #10611452	C₂	semidirect
31. #10611431	C₂	semidirect
33. C₅×Q₈²	C₂²	semidirect
38. #66064	C₂²	semidirect
45. #66061	C₂²	semidirect
46. #66061	C₂²	semidirect
63. #65913	C₂²	semidirect
70. #65903	C₂²	semidirect
71. #65903	C₂²	semidirect
73. Q₈×Dic₁₀	C₂²	semidirect
81. C₅×#489	C₂²	semidirect
83. C₅×#477	C₂²	semidirect
85. C₅×#474	C₂²	semidirect
87. C₅×#464	C₂²	semidirect
89. C₅×#446	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
92. C₄×C₅×Q₁₆	C₂²	semidirect
94. Q₁₆×Dic₅	C₂²	semidirect
95. #65471	C₂²	semidirect
97. #65453	C₂²	semidirect
100. #65452	C₂²	semidirect
102. #65380	C₂²	semidirect
104. #65378	C₂²	semidirect
107. #65376	C₂²	semidirect
111. #65346	C₂²	semidirect
113. #65344	C₂²	semidirect
114. C₄×#689	C₂²	semidirect
116. #65317	C₂²	semidirect
119. #65315	C₂²	semidirect
120. #65315	C₂²	semidirect
121. #65313	C₂²	semidirect
122. #65311	C₂²	semidirect
124. C₄×#686	C₂²	semidirect
125. #65298	C₂²	semidirect
127. #65180	C₂²	semidirect
130. #65179	C₂²	semidirect
131. #65178	C₂²	semidirect
135. #65166	C₂²	semidirect
136. #65164	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65136	C₂²	semidirect
142. #65133	C₂²	semidirect
147. #65119	C₂²	semidirect
148. #65118	C₂²	semidirect
149. #65117	C₂²	semidirect
150. #65117	C₂²	semidirect
152. #65107	C₂²	semidirect
153. #65106	C₂²	semidirect
154. #65106	C₂²	semidirect
160. #65088	C₂²	semidirect
162. #65083	C₂²	semidirect
163. #65081	C₂²	semidirect
164. #65081	C₂²	semidirect
165. #65079	C₂²	semidirect
170. #65075	C₂²	semidirect
181. #65052	C₂²	semidirect
184. #65049	C₂²	semidirect
185. #65049	C₂²	semidirect
188. #65048	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65003	C₂²	semidirect
194. #64999	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
200. C₄×D₄₀	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
487. #3375	D₅	semidirect
540. #713	#41	semidirect
722. Q₈²	C₂×D₅	semidirect
773. #489	C₂×D₅	semidirect
797. #477	C₂×D₅	semidirect
809. #474	C₂×D₅	semidirect
815. #464	C₂×D₅	semidirect
839. #446	C₂×D₅	semidirect
853. #440	C₂×D₅	semidirect
857. C₄×Q₁₆	C₂×D₅	semidirect
1635. C₅	#61345	semidirect

Maximal subgroups

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

subgroup	index
#10618964	2
#10618942	2
C₅×#3375	2
#10615445	2
#10615439	2
#10613414	2
#10613411	2
#10613403	2
#10613401	2
#10613315	2
#10613294	2
#10612842	2
#10612831	2
#10612723	2
#10612699	2
D₅×#474	2
#10612686	2
#10612333	2
#10612328	2
#10612316	2
#10612311	2
#10612117	2
#10612103	2
#10611702	2
#10611692	2
#10611509	2
#10611504	2
#10611487	2
#10611483	2
#10611452	2
#10611431	2
#61345	5