Subgroups — #12968195

Order 1280.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618410	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617773	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3127	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615178	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614283	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
7	D₅×#485	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613229	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613227	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612966	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612965	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612937	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612935	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612210	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612210	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612190	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612188	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611915	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611913	C₂	1	1	yes	maximal, characteristic
20	#10611908	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611907	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611579	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611578	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611563	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611561	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611478	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611477	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611452	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611450	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611114	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#713	C₂²	1	1	yes	characteristic
33	C₅×#541	C₂²	1	1	yes	characteristic
34	C₅×#519	C₂²	1	1	yes	characteristic
35	#66146	C₂²	1	1	yes	characteristic
36	C₂×#4065	C₂²	1	1	yes	characteristic
37	C₂×#4065	C₂²	1	1	yes	characteristic
38	C₂×#4064	C₂²	1	1	yes	characteristic
39	C₂×#4064	C₂²	1	1	yes	characteristic
40	#66062	C₂²	1	1	yes	characteristic, complemented
41	#66058	C₂²	1	1	yes	characteristic, complemented
42	#66042	—	2	1	no	—
43	#66039	—	2	1	no	—
44	#66039	—	2	1	no	—
45	#66036	—	2	1	no	—
46	#66028	—	2	1	no	—
47	#66027	—	2	1	no	—
48	#66027	—	2	1	no	—
49	#66025	C₂²	1	1	yes	characteristic, complemented
50	#66024	—	2	1	no	—
51	#66023	C₂²	1	1	yes	characteristic, complemented
52	#65977	C₂²	1	1	yes	characteristic
53	#65961	C₂²	1	1	yes	characteristic
54	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	#65959	C₂²	1	1	yes	characteristic
56	#65914	C₂²	1	1	yes	characteristic, complemented
57	#65912	C₂²	1	1	yes	characteristic, complemented
58	#65908	—	2	1	no	—
59	#65908	—	2	1	no	—
60	#65908	C₂²	1	1	yes	characteristic
61	#65908	C₂²	1	1	yes	characteristic
62	#65908	C₂²	1	1	yes	characteristic
63	#65908	C₂²	1	1	yes	characteristic
64	#65908	C₂²	1	1	yes	characteristic, complemented
65	C₄×#713	—	2	1	no	—
66	C₄×#713	—	2	1	no	—
67	C₄×#713	C₂²	1	1	yes	characteristic
68	C₄×#713	C₂²	1	1	yes	characteristic
69	C₄×#713	C₂²	1	1	yes	characteristic
70	C₄×#713	C₂²	1	1	yes	characteristic
71	#65906	C₂²	1	1	yes	characteristic, complemented
72	#65868	C₂²	1	1	yes	characteristic
73	#65855	—	2	1	no	—
74	#65855	—	2	1	no	—
75	#65855	C₂²	1	1	yes	characteristic
76	#65855	C₂²	1	1	yes	characteristic
77	D₅×#117	—	2	1	no	—
78	D₅×#117	—	2	1	no	—
79	D₅×#117	C₂²	1	1	yes	characteristic
80	D₅×#117	C₂²	1	1	yes	characteristic
81	C₅×#485	C₂²	1	1	yes	characteristic
82	C₅×#485	C₂²	1	1	yes	characteristic
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#479	C₂²	1	1	yes	characteristic, complemented
85	C₅×#462	C₂²	1	1	yes	characteristic, complemented
86	C₅×#462	C₂²	1	1	yes	characteristic, complemented
87	C₅×#451	C₂²	1	1	yes	characteristic
88	C₅×#451	C₂²	1	1	yes	characteristic
89	C₅×#441	C₂²	1	1	yes	characteristic, complemented
90	C₅×#441	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₅×#433	C₂²	1	1	yes	characteristic
94	#65517	C₂²	1	1	yes	characteristic
95	#65516	C₂²	1	1	yes	characteristic
96	#65476	C₂²	1	1	yes	characteristic
97	#65476	C₂²	1	1	yes	characteristic
98	#65476	C₂²	1	1	yes	characteristic
99	#65476	C₂²	1	1	yes	characteristic
100	#65474	C₂²	1	1	yes	characteristic, complemented
101	#65474	C₂²	1	1	yes	characteristic, complemented
102	#65473	C₂²	1	1	yes	characteristic, complemented
103	#65473	C₂²	1	1	yes	characteristic, complemented
104	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
106	#65471	C₂²	1	1	yes	characteristic, complemented
107	#65471	C₂²	1	1	yes	characteristic, complemented
108	#65372	C₂²	1	1	yes	characteristic, complemented
109	#65372	C₂²	1	1	yes	characteristic, complemented
110	#65355	C₂²	1	1	yes	characteristic, complemented
111	#65355	C₂²	1	1	yes	characteristic, complemented
112	#65335	C₂²	1	1	yes	characteristic
113	#65335	C₂²	1	1	yes	characteristic
114	#65334	C₂²	1	1	yes	characteristic
115	#65334	C₂²	1	1	yes	characteristic
116	#65319	C₂²	1	1	yes	characteristic, complemented
117	C₄×#689	C₂²	1	1	yes	characteristic, complemented
118	#65317	C₂²	1	1	yes	characteristic, complemented
119	#65317	C₂²	1	1	yes	characteristic, complemented
120	#65315	C₂²	1	1	yes	characteristic, complemented
121	#65315	C₂²	1	1	yes	characteristic, complemented
122	#65315	C₂²	1	1	yes	characteristic, complemented
123	C₄×#688	C₂²	1	1	yes	characteristic, complemented
124	C₄×#688	C₂²	1	1	yes	characteristic, complemented
125	C₄×#688	C₂²	1	1	yes	characteristic, complemented
126	#65310	C₂²	1	1	yes	characteristic, complemented
127	#65309	C₂²	1	1	yes	characteristic, complemented
128	#65292	C₂²	1	1	yes	characteristic
129	#65289	C₂²	1	1	yes	characteristic
130	#65285	C₂²	1	1	yes	characteristic
131	#65180	C₂²	1	1	yes	characteristic, complemented
132	#65179	C₂²	1	1	yes	characteristic, complemented
133	#65178	C₂²	1	1	yes	characteristic, complemented
134	#65177	C₂²	1	1	yes	characteristic, complemented
135	#65174	C₂²	1	1	yes	characteristic, complemented
136	#65170	C₂²	1	1	yes	characteristic, complemented
137	D₅×#107	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65158	C₂²	1	1	yes	characteristic, complemented
142	#65156	C₂²	1	1	yes	characteristic, complemented
143	#65155	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	D₅×#106	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65135	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65131	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65128	C₂²	1	1	yes	characteristic, complemented
153	#65124	C₂²	1	1	yes	characteristic, complemented
154	#65122	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65108	C₂²	1	1	yes	characteristic, complemented
157	#65107	C₂²	1	1	yes	characteristic, complemented
158	#65107	C₂²	1	1	yes	characteristic, complemented
159	#65106	C₂²	1	1	yes	characteristic, complemented
160	#65106	C₂²	1	1	yes	characteristic, complemented
161	#65106	C₂²	1	1	yes	characteristic, complemented
162	#65104	C₂²	1	1	yes	characteristic, complemented
163	#65104	C₂²	1	1	yes	characteristic, complemented
164	#65103	C₂²	1	1	yes	characteristic, complemented
165	#65103	C₂²	1	1	yes	characteristic, complemented
166	#65100	C₂²	1	1	yes	characteristic
167	#65100	C₂²	1	1	yes	characteristic
168	#65099	C₂²	1	1	yes	characteristic
169	#65099	C₂²	1	1	yes	characteristic
170	#65093	C₂²	1	1	yes	characteristic
171	#65093	C₂²	1	1	yes	characteristic
172	#65092	C₂²	1	1	yes	characteristic
173	#65092	C₂²	1	1	yes	characteristic
174	#65092	C₂²	1	1	yes	characteristic, complemented
175	#65092	C₂²	1	1	yes	characteristic, complemented
176	D₅×#103	C₂²	1	1	yes	characteristic, complemented
177	D₅×#103	C₂²	1	1	yes	characteristic, complemented
178	#65088	C₂²	1	1	yes	characteristic, complemented
179	#65085	C₂²	1	1	yes	characteristic, complemented
180	#65083	C₂²	1	1	yes	characteristic, complemented
181	#65080	C₂²	1	1	yes	characteristic, complemented
182	#65079	C₂²	1	1	yes	characteristic, complemented
183	#65078	C₂²	1	1	yes	characteristic, complemented
184	#65077	C₂²	1	1	yes	characteristic, complemented
185	#65077	C₂²	1	1	yes	characteristic, complemented
186	#65077	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic
188	#65021	C₂²	1	1	yes	characteristic
189	#65020	C₂²	1	1	yes	characteristic
190	#65015	C₂²	1	1	yes	characteristic
191	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	#65012	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic
194	#65009	C₂²	1	1	yes	characteristic
195	#65000	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic, complemented
197	#64997	C₂²	1	1	yes	characteristic, complemented
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60586	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂×#713	—	2	4	no	—
206	C₂×#713	—	2	4	no	—
207	C₂×#713	—	2	1	no	—
208	C₂×#713	—	2	1	no	—
209	C₂×#713	C₂³	1	1	yes	characteristic
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
215	C₂²×D₂₀	—	2	1	no	—
216	C₂²×D₂₀	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₅	—	2	1	no	—
218	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
219	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
223	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×#126	—	2	1	no	—
225	C₅×#126	—	2	1	no	—
226	C₅×#125	—	2	1	no	—
227	C₅×#125	—	2	1	no	—
228	C₅×#125	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	—	2	1	no	—
232	C₄×C₅×Q₈	—	2	1	no	—
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
239	C₅×#117	—	2	1	no	—
240	C₅×#117	—	2	1	no	—
241	C₅×#117	C₂³	1	1	yes	characteristic
242	C₅×#117	C₂³	1	1	yes	characteristic
243	#4093	C₂³	1	1	yes	characteristic
244	#4092	C₂³	1	1	yes	characteristic
245	#4092	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	—	2	1	no	—
247	Q₈×Dic₅	—	2	1	no	—
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	Q₈×Dic₅	C₂³	1	1	yes	characteristic
253	Q₈×Dic₅	C₂³	1	1	yes	characteristic
254	#4090	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#688	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	C₂×#688	C₂³	1	1	yes	characteristic
262	C₂×#688	C₂³	1	1	yes	characteristic
263	#4076	C₂³	1	1	yes	characteristic
264	#4072	—	2	1	no	—
265	#4072	—	2	1	no	—
266	#4072	C₂³	1	1	yes	characteristic
267	#4072	C₂³	1	1	yes	characteristic
268	#4070	C₂³	1	1	yes	characteristic
269	#4065	—	2	4	no	—
270	#4065	—	2	4	no	—
271	#4064	—	2	4	no	—
272	#4064	—	2	4	no	—
273	C₂×D₄₀	C₂³	1	1	yes	characteristic
274	C₂×D₄₀	C₂³	1	1	yes	characteristic
275	C₂×#677	C₂³	1	1	yes	characteristic
276	C₂×#677	C₂³	1	1	yes	characteristic
277	C₂×#676	C₂³	1	1	yes	characteristic
278	C₂×#676	C₂³	1	1	yes	characteristic
279	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
280	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
281	#4044	—	2	1	no	—
282	#4044	—	2	1	no	—
283	#4044	—	2	1	no	—
284	#4044	—	2	1	no	—
285	#4043	—	2	1	no	—
286	#4043	—	2	1	no	—
287	#4043	—	2	1	no	—
288	#4043	C₂³	1	1	yes	characteristic
289	#4042	—	2	1	no	—
290	#4042	—	2	1	no	—
291	#4042	—	2	1	no	—
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4041	C₂³	1	1	yes	characteristic
296	#4040	—	2	1	no	—
297	#4040	—	2	1	no	—
298	#4040	—	2	1	no	—
299	#4040	—	2	1	no	—
300	#4040	—	2	1	no	—
301	#4039	—	2	1	no	—
302	#4039	—	2	1	no	—
303	#4039	—	2	1	no	—
304	#4039	—	2	1	no	—
305	#4039	—	2	1	no	—
306	#4039	—	2	1	no	—
307	#4039	—	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	—	2	1	no	—
314	#4039	C₂³	1	1	yes	characteristic
315	#4039	C₂³	1	1	yes	characteristic
316	#4039	C₂³	1	1	yes	characteristic
317	#4039	C₂³	1	1	yes	characteristic
318	#4039	C₂³	1	1	yes	characteristic
319	#4038	—	2	1	no	—
320	#4038	—	2	1	no	—
321	#4038	—	2	1	no	—
322	#4038	—	2	1	no	—
323	#4038	—	2	1	no	—
324	#4038	—	2	1	no	—
325	#4038	—	2	1	no	—
326	#4038	D₄	1	1	yes	characteristic
327	#4038	D₄	1	1	yes	characteristic
328	#4038	C₂³	1	1	yes	characteristic
329	#4038	C₂³	1	1	yes	characteristic
330	#4038	C₂³	1	1	yes	characteristic
331	D₅×C₄⋊C₄	—	2	1	no	—
332	D₅×C₄⋊C₄	—	2	1	no	—
333	D₅×C₄⋊C₄	—	2	1	no	—
334	D₅×C₄⋊C₄	—	2	1	no	—
335	D₅×C₄⋊C₄	—	2	1	no	—
336	D₅×C₄⋊C₄	—	2	1	no	—
337	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
338	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
339	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
340	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
342	#4036	—	2	1	no	—
343	#4036	—	2	1	no	—
344	#4036	C₂³	1	1	yes	characteristic
345	#4035	—	2	1	no	—
346	#4035	—	2	1	no	—
347	#4035	—	2	1	no	—
348	#4034	—	2	1	no	—
349	#4034	C₂³	1	1	yes	characteristic
350	#4033	—	2	1	no	—
351	#4033	—	2	1	no	—
352	#4033	C₂³	1	1	yes	characteristic
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4029	—	2	1	no	—
356	#4029	—	2	1	no	—
357	#4028	—	2	1	no	—
358	#4027	—	2	1	no	—
359	D₅×C₂²⋊C₄	—	2	1	no	—
360	D₅×C₂²⋊C₄	—	2	1	no	—
361	D₅×C₂²⋊C₄	—	2	1	no	—
362	D₅×C₂²⋊C₄	—	2	1	no	—
363	D₅×C₂²⋊C₄	—	2	1	no	—
364	D₅×C₂²⋊C₄	—	2	1	no	—
365	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
366	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4024	—	2	1	no	—
370	#4023	—	2	1	no	—
371	#4023	D₄	1	1	yes	characteristic
372	#4023	D₄	1	1	yes	characteristic
373	#4021	C₂³	1	1	yes	characteristic
374	C₄×D₂₀	—	2	1	no	—
375	C₄×D₂₀	—	2	1	no	—
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	—	2	1	no	—
381	C₄×D₂₀	—	2	1	no	—
382	C₄×D₂₀	—	2	1	no	—
383	C₄×D₂₀	—	2	1	no	—
384	C₄×D₂₀	—	2	1	no	—
385	C₄×D₂₀	—	2	1	no	—
386	C₄×D₂₀	C₂³	1	1	yes	characteristic
387	C₄×D₂₀	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	C₂³	1	1	yes	characteristic
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	#4018	—	2	1	no	—
392	#4018	—	2	1	no	—
393	#4018	—	2	1	no	—
394	#4018	—	2	1	no	—
395	#4018	—	2	1	no	—
396	#4018	—	2	1	no	—
397	#4018	—	2	1	no	—
398	#4018	—	2	1	no	—
399	#4018	—	2	1	no	—
400	#4018	C₂³	1	1	yes	characteristic
401	#4018	C₂³	1	1	yes	characteristic
402	C₄²×D₅	—	2	1	no	—
403	C₄²×D₅	—	2	1	no	—
404	C₄²×D₅	—	2	1	no	—
405	C₄²×D₅	—	2	1	no	—
406	C₄²×D₅	—	2	1	no	—
407	C₄²×D₅	C₂³	1	1	yes	characteristic
408	C₄²×D₅	C₂³	1	1	yes	characteristic
409	#4015	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	—	2	1	no	—
411	C₄×Dic₁₀	—	2	1	no	—
412	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
413	C₅×#107	C₂³	1	1	yes	characteristic
414	C₅×#107	C₂³	1	1	yes	characteristic
415	C₅×#106	C₂³	1	1	yes	characteristic
416	C₅×#106	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#103	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×#97	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3967	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3950	C₂³	1	1	yes	characteristic
453	#3949	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	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	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	#3935	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3495	—	5	1	no	—
486	#3428	—	5	1	no	—
487	#3127	—	5	1	no	—
488	#3127	D₅	1	1	yes	characteristic, complemented
489	#3123	—	5	1	no	—
490	#3123	—	5	1	no	—
491	#3121	—	5	1	no	—
492	#3121	—	5	1	no	—
493	#3118	—	5	1	no	—
494	#3118	—	5	1	no	—
495	#3116	—	5	1	no	—
496	#3116	—	5	1	no	—
497	#3111	—	5	1	no	—
498	#3111	—	5	1	no	—
499	#3107	—	5	1	no	—
500	#3107	—	5	1	no	—
501	#3102	—	5	1	no	—
502	#3102	—	5	1	no	—
503	#3093	—	5	1	no	—
504	C₂×#485	—	5	1	no	—
505	#3084	—	5	1	no	—
506	#3083	—	5	1	no	—
507	#3046	—	5	1	no	—
508	#3046	—	5	1	no	—
509	#3007	—	5	1	no	—
510	#3002	—	5	1	no	—
511	#2952	—	5	1	no	—
512	#2951	—	5	1	no	—
513	#2947	—	5	1	no	—
514	#2947	—	5	1	no	—
515	#2924	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
518	C₂×C₅×Q₈	—	2	2	no	—
519	C₂×C₅×Q₈	—	2	2	no	—
520	C₂×C₅×Q₈	—	2	1	no	—
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
529	#713	—	2	8	no	—
530	#713	—	2	8	no	—
531	#713	—	2	2	no	—
532	#713	—	2	2	no	—
533	#713	—	2	2	no	—
534	#713	—	2	2	no	—
535	#713	—	2	2	no	—
536	#713	—	2	2	no	—
537	#713	—	2	2	no	—
538	#713	—	2	2	no	—
539	#713	#41	1	4	yes	—
540	#713	#41	1	4	yes	—
541	Q₈×D₅	—	2	2	no	—
542	Q₈×D₅	—	2	2	no	—
543	C₂×D₂₀	—	2	8	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	—	2	1	no	—
546	C₂×D₂₀	—	2	1	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	2	no	—
550	C₂×D₂₀	—	2	2	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	—	2	8	no	—
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	2	no	—
562	C₂×C₄×D₅	—	2	2	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	—	2	1	no	—
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
583	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₁₀	—	2	1	no	—
587	C₂×Dic₁₀	—	2	1	no	—
588	C₂×Dic₁₀	—	2	1	no	—
589	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
590	C₅×Q₁₆	—	2	2	no	—
591	C₅×Q₁₆	—	2	2	no	—
592	C₅×Q₁₆	—	2	2	no	—
593	C₅×Q₁₆	—	2	2	no	—
594	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
597	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	—	2	1	no	—
607	C₅×C₄⋊C₄	—	2	1	no	—
608	C₅×C₄⋊C₄	—	2	1	no	—
609	C₅×C₄⋊C₄	—	2	1	no	—
610	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₅	—	2	1	no	—
622	C₄²×C₅	—	2	1	no	—
623	C₄²×C₅	—	2	1	no	—
624	C₄²×C₅	—	2	1	no	—
625	C₄²×C₅	—	2	1	no	—
626	C₄²×C₅	—	2	1	no	—
627	C₄²×C₅	—	2	1	no	—
628	C₄²×C₅	C₂⁴	1	1	yes	characteristic
629	C₄²×C₅	C₂⁴	1	1	yes	characteristic
630	C₂²⋊Dic₅	—	2	1	no	—
631	C₂²⋊Dic₅	—	2	1	no	—
632	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
633	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
634	#689	—	2	2	no	—
635	#689	—	2	2	no	—
636	#688	—	2	2	no	—
637	#688	—	2	2	no	—
638	#688	—	2	2	no	—
639	#688	—	2	2	no	—
640	#688	—	2	2	no	—
641	#688	—	2	2	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	C₂×D₄	1	1	yes	characteristic
665	#685	C₂×D₄	1	1	yes	characteristic
666	#685	C₂×D₄	1	1	yes	characteristic
667	#685	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	—	2	1	no	—
671	C₄⋊Dic₅	—	2	1	no	—
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
679	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
682	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	C₂×D₄	1	1	yes	characteristic
696	#683	C₂×D₄	1	1	yes	characteristic
697	#683	C₂×D₄	1	1	yes	characteristic
698	#683	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	C₄×Dic₅	—	2	1	no	—
705	C₄×Dic₅	—	2	1	no	—
706	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
712	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
713	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
716	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
717	C₂×#168	C₂⁴	1	1	yes	characteristic
718	C₂×#168	C₂⁴	1	1	yes	characteristic
719	C₂×#168	C₂⁴	1	1	yes	characteristic
720	C₂×#168	C₂⁴	1	1	yes	characteristic
721	D₄₀	—	2	2	no	—
722	D₄₀	—	2	2	no	—
723	#677	—	2	2	no	—
724	#677	—	2	2	no	—
725	#676	—	2	2	no	—
726	#676	—	2	2	no	—
727	C₈×D₅	—	2	2	no	—
728	C₈×D₅	—	2	2	no	—
729	C₂²×#41	—	5	1	no	—
730	C₂×#137	—	5	1	no	—
731	C₂×#137	—	5	1	no	—
732	C₂×#135	—	5	1	no	—
733	C₂×#135	—	5	1	no	—
734	#556	—	10	1	no	—
735	#554	—	10	1	no	—
736	#552	—	10	1	no	—
737	#552	—	10	1	no	—
738	#552	—	10	1	no	—
739	#552	—	10	1	no	—
740	#551	—	10	1	no	—
741	#551	—	10	1	no	—
742	#544	—	5	1	no	—
743	#542	—	5	1	no	—
744	#542	—	5	1	no	—
745	#541	—	5	1	no	—
746	#541	C₂×D₅	1	1	yes	characteristic
747	#536	—	5	1	no	—
748	#533	—	5	1	no	—
749	#533	—	5	1	no	—
750	#529	—	5	1	no	—
751	#529	—	5	1	no	—
752	#525	—	5	1	no	—
753	C₂×C₂²⋊Q₈	—	5	1	no	—
754	#520	—	5	1	no	—
755	#520	—	5	1	no	—
756	#520	—	5	1	no	—
757	#520	—	5	1	no	—
758	#520	—	5	1	no	—
759	#520	—	10	1	no	—
760	#520	—	10	1	no	—
761	#519	—	5	1	no	—
762	#519	—	5	1	no	—
763	#519	C₂×D₅	1	1	yes	characteristic
764	#518	—	5	1	no	—
765	#518	—	5	1	no	—
766	#518	—	10	1	no	—
767	#518	—	10	1	no	—
768	C₄×#41	—	5	1	no	—
769	C₄×#41	—	5	1	no	—
770	C₄×#41	—	5	1	no	—
771	C₄×#41	—	5	1	no	—
772	C₄×#41	—	10	1	no	—
773	C₄×#41	—	10	1	no	—
774	C₂×#117	—	5	1	no	—
775	C₂×#117	—	5	1	no	—
776	C₂×#117	—	10	1	no	—
777	C₂×#117	—	10	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#485	—	5	1	no	—
785	#485	—	5	1	no	—
786	#485	—	5	1	no	—
787	#485	—	5	1	no	—
788	#485	C₂×D₅	1	1	yes	characteristic
789	#485	C₂×D₅	1	1	yes	characteristic
790	#482	—	5	1	no	—
791	#482	—	5	1	no	—
792	#482	—	5	1	no	—
793	#482	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	C₂×D₅	1	1	yes	characteristic, complemented
797	#479	C₂×D₅	1	1	yes	characteristic, complemented
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#477	—	5	1	no	—
803	#477	—	5	1	no	—
804	#476	—	5	1	no	—
805	#476	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#463	—	5	1	no	—
815	#463	—	5	1	no	—
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#462	—	5	1	no	—
819	#462	—	5	1	no	—
820	#462	C₂×D₅	1	1	yes	characteristic, complemented
821	#462	C₂×D₅	1	1	yes	characteristic, complemented
822	#461	—	5	1	no	—
823	#461	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#452	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	C₂×D₅	1	1	yes	characteristic
834	#451	C₂×D₅	1	1	yes	characteristic
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#450	—	5	1	no	—
838	#449	—	5	1	no	—
839	#449	—	5	1	no	—
840	#448	—	5	1	no	—
841	#447	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#441	—	5	1	no	—
848	#441	C₂×D₅	1	1	yes	characteristic, complemented
849	#441	C₂×D₅	1	1	yes	characteristic, complemented
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	#440	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
863	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	—	5	1	no	—
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#433	—	5	1	no	—
877	#433	C₂×D₅	1	1	yes	characteristic
878	#432	—	5	1	no	—
879	#432	—	5	1	no	—
880	#431	—	5	1	no	—
881	#431	—	5	1	no	—
882	#428	—	5	1	no	—
883	#428	—	5	1	no	—
884	C₂×#107	—	5	1	no	—
885	C₂×#106	—	5	1	no	—
886	#424	—	5	1	no	—
887	#424	—	5	1	no	—
888	#417	—	5	1	no	—
889	#417	—	5	1	no	—
890	#417	—	5	1	no	—
891	#417	—	5	1	no	—
892	#416	—	5	1	no	—
893	#416	—	5	1	no	—
894	C₂×#103	—	5	1	no	—
895	C₂×#103	—	5	1	no	—
896	#407	—	5	1	no	—
897	C₂×C₂²⋊C₈	—	5	1	no	—
898	#405	—	5	1	no	—
899	#405	—	5	1	no	—
900	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂²×D₅	—	2	1	no	—
902	C₂²×D₅	—	2	1	no	—
903	C₂²×D₅	—	2	4	no	—
904	C₂²×D₅	—	2	2	no	—
905	C₂²×D₅	—	2	1	no	—
906	C₂²×D₅	—	4	1	no	—
907	C₂²×D₅	—	4	1	no	—
908	C₂²×D₅	—	8	1	no	—
909	C₂²×D₅	—	8	1	no	—
910	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
911	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
912	C₅×Q₈	—	2	4	no	—
913	C₅×Q₈	—	2	1	no	—
914	C₅×Q₈	—	2	1	no	—
915	C₅×Q₈	—	2	1	no	—
916	C₅×Q₈	—	2	1	no	—
917	C₅×Q₈	—	2	1	no	—
918	C₅×Q₈	—	2	1	no	—
919	C₅×Q₈	C₂×#41	1	2	yes	—
920	C₅×Q₈	C₂×#41	1	2	yes	—
921	C₂×C₄×C₅	—	2	4	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	2	1	no	—
927	C₂×C₄×C₅	—	2	1	no	—
928	C₂×C₄×C₅	—	2	1	no	—
929	C₂×C₄×C₅	—	2	1	no	—
930	C₂×C₄×C₅	—	2	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
933	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
938	C₂²⋊D₅	—	8	1	no	—
939	C₂×Dic₅	—	2	2	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	D₂₀	—	2	4	no	—
952	D₂₀	—	2	4	no	—
953	D₂₀	—	2	4	no	—
954	D₂₀	—	2	4	no	—
955	D₂₀	—	2	4	no	—
956	D₂₀	—	2	1	no	—
957	D₂₀	—	2	1	no	—
958	D₂₀	—	2	1	no	—
959	D₂₀	—	2	1	no	—
960	D₂₀	—	4	2	no	—
961	D₂₀	—	4	2	no	—
962	D₂₀	C₂×#41	1	2	yes	—
963	D₂₀	C₂×#41	1	2	yes	—
964	C₄×D₅	—	2	4	no	—
965	C₄×D₅	—	2	4	no	—
966	C₄×D₅	—	2	2	no	—
967	C₄×D₅	—	2	1	no	—
968	C₄×D₅	—	2	1	no	—
969	C₄×D₅	—	2	4	no	—
970	C₄×D₅	—	2	4	no	—
971	C₄×D₅	—	2	2	no	—
972	C₄×D₅	—	4	1	no	—
973	C₄×D₅	—	4	1	no	—
974	C₄×D₅	—	4	1	no	—
975	C₄×D₅	—	4	1	no	—
976	C₄×D₅	—	4	2	no	—
977	C₄×D₅	—	4	2	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	—	8	1	no	—
980	C₄×D₅	—	8	1	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	C₄×D₅	—	8	1	no	—
985	C₄×D₅	—	8	1	no	—
986	C₄×D₅	—	8	1	no	—
987	C₄×D₅	—	8	1	no	—
988	C₄×D₅	—	8	1	no	—
989	C₄×D₅	—	8	1	no	—
990	C₄×D₅	—	8	1	no	—
991	C₄×D₅	C₂×#41	1	2	yes	—
992	C₄×D₅	C₂×#41	1	2	yes	—
993	Dic₁₀	—	2	1	no	—
994	Dic₁₀	—	2	1	no	—
995	Dic₁₀	—	4	2	no	—
996	Dic₁₀	—	8	1	no	—
997	Dic₁₀	—	8	1	no	—
998	C₅×C₈	—	2	1	no	—
999	C₅×C₈	—	2	1	no	—
1000	C₅×C₈	—	2	1	no	—
1001	C₅×C₈	—	2	1	no	—
1002	#168	—	2	1	no	—
1003	#168	—	2	1	no	—
1004	#168	—	2	1	no	—
1005	#168	—	2	1	no	—
1006	C₂×#41	—	5	1	no	—
1007	C₂×#41	—	5	1	no	—
1008	C₂×#41	—	5	1	no	—
1009	C₂×#41	—	5	1	no	—
1010	C₂×#41	—	5	1	no	—
1011	C₂×#41	—	10	1	no	—
1012	C₂×#41	—	10	1	no	—
1013	C₂×#41	—	10	4	no	—
1014	C₂×#41	—	10	4	no	—
1015	C₂²×Q₈	—	5	1	no	—
1016	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1017	C₂²×D₄	—	5	1	no	—
1018	C₂²×D₄	—	10	1	no	—
1019	C₂³×C₄	—	5	1	no	—
1020	C₂³×C₄	—	10	1	no	—
1021	#137	—	10	4	no	—
1022	#137	—	10	4	no	—
1023	#135	—	10	4	no	—
1024	#135	—	10	4	no	—
1025	C₂×Q₁₆	—	5	1	no	—
1026	C₂×Q₁₆	—	5	1	no	—
1027	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1028	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1029	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1030	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1031	C₂×SD₁₆	—	5	1	no	—
1032	C₂×SD₁₆	—	5	1	no	—
1033	C₂×SD₁₆	—	5	1	no	—
1034	C₂×SD₁₆	—	5	1	no	—
1035	C₂×SD₁₆	—	5	1	no	—
1036	C₂×SD₁₆	—	5	1	no	—
1037	C₂×SD₁₆	—	5	1	no	—
1038	C₂×SD₁₆	—	5	1	no	—
1039	C₂×D₈	—	5	1	no	—
1040	C₂×D₈	—	5	1	no	—
1041	C₂×M₁₆	—	5	1	no	—
1042	C₂×M₁₆	—	5	1	no	—
1043	C₂²×C₈	—	5	1	no	—
1044	C₂²×C₈	—	5	1	no	—
1045	C₄⋊Q₈	—	5	1	no	—
1046	C₄⋊Q₈	—	5	1	no	—
1047	C₄⋊Q₈	—	5	1	no	—
1048	C₄⋊Q₈	—	10	1	no	—
1049	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1050	#126	—	2	1	no	—
1051	#126	—	2	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#126	—	10	1	no	—
1055	#126	—	10	1	no	—
1056	#126	—	10	1	no	—
1057	#126	—	10	1	no	—
1058	#125	—	2	1	no	—
1059	#125	—	2	1	no	—
1060	#125	—	5	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	#125	C₂²×D₅	1	1	yes	characteristic
1067	#124	—	5	1	no	—
1068	#124	—	5	1	no	—
1069	#124	—	10	1	no	—
1070	#124	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	C₂²⋊Q₈	—	5	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	5	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1093	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1094	#121	—	5	1	no	—
1095	#121	—	5	1	no	—
1096	#120	—	10	1	no	—
1097	C₄×Q₈	—	2	1	no	—
1098	C₄×Q₈	—	2	1	no	—
1099	C₄×Q₈	—	5	1	no	—
1100	C₄×Q₈	—	5	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	10	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×Q₈	—	10	1	no	—
1113	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1114	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1115	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1116	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1117	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1118	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	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	—	10	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	—	10	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	#117	—	2	1	no	—
1156	#117	—	2	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	5	1	no	—
1159	#117	—	5	1	no	—
1160	#117	—	5	1	no	—
1161	#117	—	5	1	no	—
1162	#117	—	5	1	no	—
1163	#117	—	5	1	no	—
1164	#117	—	5	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	5	1	no	—
1168	#117	—	10	1	no	—
1169	#117	—	10	1	no	—
1170	#117	—	10	1	no	—
1171	#117	—	10	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	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	#117	—	10	1	no	—
1183	#117	—	10	1	no	—
1184	#117	—	10	1	no	—
1185	#117	—	10	1	no	—
1186	#117	—	10	1	no	—
1187	#117	C₂²×D₅	1	1	yes	characteristic
1188	#117	C₂²×D₅	1	1	yes	characteristic
1189	C₂×C₄⋊C₄	—	5	1	no	—
1190	C₂×C₄⋊C₄	—	5	1	no	—
1191	C₂×C₄⋊C₄	—	5	1	no	—
1192	C₂×C₄⋊C₄	—	5	1	no	—
1193	C₂×C₄⋊C₄	—	5	1	no	—
1194	C₂×C₄⋊C₄	—	10	1	no	—
1195	C₂×C₄⋊C₄	—	10	1	no	—
1196	C₂×C₄⋊C₄	—	10	1	no	—
1197	C₂×C₄⋊C₄	—	10	1	no	—
1198	C₂×C₄⋊C₄	—	10	1	no	—
1199	C₂×C₄⋊C₄	—	10	1	no	—
1200	C₂×C₂²⋊C₄	—	5	1	no	—
1201	C₂×C₂²⋊C₄	—	5	1	no	—
1202	C₂×C₂²⋊C₄	—	10	1	no	—
1203	C₂×C₂²⋊C₄	—	10	1	no	—
1204	C₂×C₂²⋊C₄	—	10	1	no	—
1205	C₂×C₂²⋊C₄	—	10	1	no	—
1206	C₂×C₂²⋊C₄	—	10	1	no	—
1207	C₂×C₂²⋊C₄	—	10	1	no	—
1208	C₂×C₄²	—	5	1	no	—
1209	C₂×C₄²	—	5	1	no	—
1210	C₂×C₄²	—	10	1	no	—
1211	C₂×C₄²	—	10	1	no	—
1212	C₂×C₄²	—	10	1	no	—
1213	C₂×C₄²	—	10	1	no	—
1214	C₂×C₄²	—	10	1	no	—
1215	#107	—	5	1	no	—
1216	#107	—	5	1	no	—
1217	#107	—	5	1	no	—
1218	#107	—	5	1	no	—
1219	#107	—	5	1	no	—
1220	#107	—	5	1	no	—
1221	#107	C₂²×D₅	1	1	yes	characteristic
1222	#107	C₂²×D₅	1	1	yes	characteristic
1223	#106	—	5	1	no	—
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
1226	#106	—	5	1	no	—
1227	#106	—	5	1	no	—
1228	#106	—	5	1	no	—
1229	#106	C₂²×D₅	1	1	yes	characteristic
1230	#106	C₂²×D₅	1	1	yes	characteristic
1231	C₄⋊C₈	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	—	5	1	no	—
1234	C₄⋊C₈	—	5	1	no	—
1235	C₄⋊C₈	—	5	1	no	—
1236	C₄⋊C₈	—	5	1	no	—
1237	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1238	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	—	5	1	no	—
1245	#103	—	5	1	no	—
1246	#103	—	5	1	no	—
1247	#103	—	5	1	no	—
1248	#103	—	5	1	no	—
1249	#103	—	5	1	no	—
1250	#103	—	5	1	no	—
1251	#103	C₂²×D₅	1	1	yes	characteristic
1252	#103	C₂²×D₅	1	1	yes	characteristic
1253	#103	C₂²×D₅	1	1	yes	characteristic
1254	#103	C₂²×D₅	1	1	yes	characteristic
1255	#103	C₂²×D₅	1	1	yes	characteristic
1256	#103	C₂²×D₅	1	1	yes	characteristic
1257	#103	C₂²×D₅	1	1	yes	characteristic
1258	#103	C₂²×D₅	1	1	yes	characteristic
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	—	5	1	no	—
1263	#102	—	5	1	no	—
1264	#102	—	5	1	no	—
1265	#102	—	5	1	no	—
1266	#102	—	5	1	no	—
1267	#102	—	5	1	no	—
1268	#102	—	5	1	no	—
1269	#102	—	5	1	no	—
1270	#102	—	5	1	no	—
1271	C₂²⋊C₈	—	5	1	no	—
1272	C₂²⋊C₈	—	5	1	no	—
1273	C₂²⋊C₈	—	5	1	no	—
1274	C₂²⋊C₈	—	5	1	no	—
1275	C₂²⋊C₈	—	5	1	no	—
1276	C₂²⋊C₈	—	5	1	no	—
1277	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1278	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1279	#97	—	5	1	no	—
1280	#97	—	5	1	no	—
1281	#97	—	5	1	no	—
1282	#97	C₂²×D₅	1	1	yes	characteristic
1283	C₄×C₈	—	5	1	no	—
1284	C₄×C₈	—	5	1	no	—
1285	C₄×C₈	—	5	1	no	—
1286	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	2	1	no	—
1290	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1291	C₂×D₅	—	2	1	no	—
1292	C₂×D₅	—	2	1	no	—
1293	C₂×D₅	—	2	1	no	—
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	2	1	no	—
1296	C₂×D₅	—	2	2	no	—
1297	C₂×D₅	—	2	2	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	4	1	no	—
1301	C₂×D₅	—	4	1	no	—
1302	C₂×D₅	—	4	1	no	—
1303	C₂×D₅	—	4	1	no	—
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	8	2	no	—
1306	C₂×D₅	—	8	4	no	—
1307	C₂×D₅	#525	1	2	yes	—
1308	C₄×C₅	—	2	1	no	—
1309	C₄×C₅	—	2	1	no	—
1310	C₄×C₅	—	2	1	no	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	2	2	no	—
1313	C₄×C₅	—	2	2	no	—
1314	C₄×C₅	—	2	1	no	—
1315	C₄×C₅	—	4	1	no	—
1316	C₄×C₅	—	4	1	no	—
1317	C₄×C₅	—	4	1	no	—
1318	C₄×C₅	—	4	1	no	—
1319	C₄×C₅	—	4	1	no	—
1320	C₄×C₅	—	4	1	no	—
1321	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1322	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1323	Dic₅	—	2	1	no	—
1324	Dic₅	—	2	1	no	—
1325	Dic₅	—	2	1	no	—
1326	Dic₅	—	2	1	no	—
1327	Dic₅	—	2	1	no	—
1328	Dic₅	—	4	1	no	—
1329	Dic₅	—	4	1	no	—
1330	Dic₅	—	4	1	no	—
1331	Dic₅	—	4	1	no	—
1332	Dic₅	—	4	1	no	—
1333	Dic₅	#525	1	2	yes	—
1334	C₂⁴	—	5	1	no	—
1335	C₂⁴	—	10	1	no	—
1336	#41	—	5	4	no	—
1337	#41	—	5	4	no	—
1338	#41	—	10	2	no	—
1339	#41	—	10	2	no	—
1340	#41	—	10	2	no	—
1341	#41	—	10	2	no	—
1342	#41	—	10	2	no	—
1343	#41	—	10	2	no	—
1344	#41	—	10	8	no	—
1345	#41	—	10	8	no	—
1346	#41	—	10	2	no	—
1347	#41	—	10	2	no	—
1348	C₂×Q₈	—	2	2	no	—
1349	C₂×Q₈	—	2	2	no	—
1350	C₂×Q₈	—	2	1	no	—
1351	C₂×Q₈	—	5	1	no	—
1352	C₂×Q₈	—	10	1	no	—
1353	C₂×Q₈	—	10	1	no	—
1354	C₂×Q₈	—	10	2	no	—
1355	C₂×Q₈	—	10	2	no	—
1356	C₂×Q₈	—	10	1	no	—
1357	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1359	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1360	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1361	C₂×D₄	—	5	1	no	—
1362	C₂×D₄	—	5	1	no	—
1363	C₂×D₄	—	5	1	no	—
1364	C₂×D₄	—	10	2	no	—
1365	C₂×D₄	—	10	2	no	—
1366	C₂×D₄	—	10	1	no	—
1367	C₂×D₄	—	10	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	1	no	—
1370	C₂×D₄	—	10	8	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	1	no	—
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	5	1	no	—
1377	C₂²×C₄	—	5	1	no	—
1378	C₂²×C₄	—	5	1	no	—
1379	C₂²×C₄	—	5	1	no	—
1380	C₂²×C₄	—	5	1	no	—
1381	C₂²×C₄	—	5	1	no	—
1382	C₂²×C₄	—	5	1	no	—
1383	C₂²×C₄	—	5	1	no	—
1384	C₂²×C₄	—	5	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	2	no	—
1390	C₂²×C₄	—	10	2	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	8	no	—
1398	C₂²×C₄	—	10	1	no	—
1399	C₂²×C₄	—	10	1	no	—
1400	C₂²×C₄	—	10	1	no	—
1401	C₂²×C₄	—	10	1	no	—
1402	C₂²×C₄	—	10	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	10	1	no	—
1407	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1408	Q₁₆	—	2	2	no	—
1409	Q₁₆	—	2	2	no	—
1410	Q₁₆	—	2	2	no	—
1411	Q₁₆	—	2	2	no	—
1412	Q₁₆	—	10	2	no	—
1413	Q₁₆	—	10	2	no	—
1414	SD₁₆	—	10	2	no	—
1415	SD₁₆	—	10	2	no	—
1416	SD₁₆	—	10	2	no	—
1417	SD₁₆	—	10	2	no	—
1418	SD₁₆	—	10	2	no	—
1419	SD₁₆	—	10	2	no	—
1420	SD₁₆	—	10	2	no	—
1421	SD₁₆	—	10	2	no	—
1422	D₈	—	10	2	no	—
1423	D₈	—	10	2	no	—
1424	M₁₆	—	10	2	no	—
1425	M₁₆	—	10	2	no	—
1426	C₂×C₈	—	5	1	no	—
1427	C₂×C₈	—	5	1	no	—
1428	C₂×C₈	—	5	1	no	—
1429	C₂×C₈	—	5	1	no	—
1430	C₂×C₈	—	10	2	no	—
1431	C₂×C₈	—	10	2	no	—
1432	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1433	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1434	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1435	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1480	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1481	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1482	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1483	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1484	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	5	1	no	—
1489	C₂²⋊C₄	—	5	1	no	—
1490	C₂²⋊C₄	—	5	1	no	—
1491	C₂²⋊C₄	—	5	1	no	—
1492	C₂²⋊C₄	—	5	1	no	—
1493	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1519	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1520	C₄²	—	2	1	no	—
1521	C₄²	—	2	1	no	—
1522	C₄²	—	2	1	no	—
1523	C₄²	—	2	1	no	—
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	5	1	no	—
1528	C₄²	—	5	1	no	—
1529	C₄²	—	5	1	no	—
1530	C₄²	—	5	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	10	1	no	—
1534	C₄²	—	10	1	no	—
1535	C₄²	—	10	1	no	—
1536	C₄²	—	10	1	no	—
1537	C₄²	—	10	1	no	—
1538	C₄²	—	10	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	—	10	1	no	—
1543	C₄²	—	10	1	no	—
1544	C₄²	—	10	1	no	—
1545	C₄²	C₂³×D₅	1	1	yes	characteristic
1546	C₄²	C₂³×D₅	1	1	yes	characteristic
1547	C₂×C₅	—	4	1	no	—
1548	C₂×C₅	C₂×#525	1	1	yes	characteristic
1549	C₂×C₅	#3584	1	1	yes	characteristic
1550	C₂×C₅	#3586	1	1	yes	characteristic
1551	D₅	—	2	2	no	—
1552	D₅	—	4	1	no	—
1553	D₅	—	4	2	no	—
1554	D₅	—	4	2	no	—
1555	D₅	—	8	1	no	—
1556	C₂³	—	5	1	no	—
1557	C₂³	—	5	1	no	—
1558	C₂³	—	10	2	no	—
1559	C₂³	—	10	4	no	—
1560	C₂³	—	10	1	no	—
1561	C₂³	—	10	1	no	—
1562	C₂³	—	10	1	no	—
1563	C₂³	—	20	1	no	—
1564	C₂³	—	20	1	no	—
1565	C₂³	—	40	1	no	—
1566	C₂³	—	40	1	no	—
1567	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1568	Q₈	—	2	4	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	2	1	no	—
1575	Q₈	—	10	1	no	—
1576	Q₈	—	10	1	no	—
1577	Q₈	—	20	2	no	—
1578	Q₈	—	40	1	no	—
1579	Q₈	—	40	1	no	—
1580	Q₈	D₅×#41	1	2	yes	—
1581	Q₈	D₅×#41	1	2	yes	—
1582	D₄	—	5	2	no	—
1583	D₄	—	5	2	no	—
1584	D₄	—	10	4	no	—
1585	D₄	—	10	4	no	—
1586	D₄	—	10	4	no	—
1587	D₄	—	10	4	no	—
1588	D₄	—	10	4	no	—
1589	D₄	—	10	1	no	—
1590	D₄	—	10	1	no	—
1591	D₄	—	10	1	no	—
1592	D₄	—	10	1	no	—
1593	D₄	—	20	2	no	—
1594	D₄	—	20	2	no	—
1595	D₄	—	40	1	no	—
1596	C₂×C₄	—	2	4	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	2	no	—
1609	C₂×C₄	—	5	2	no	—
1610	C₂×C₄	—	5	1	no	—
1611	C₂×C₄	—	5	1	no	—
1612	C₂×C₄	—	5	1	no	—
1613	C₂×C₄	—	5	1	no	—
1614	C₂×C₄	—	5	1	no	—
1615	C₂×C₄	—	10	2	no	—
1616	C₂×C₄	—	10	4	no	—
1617	C₂×C₄	—	10	4	no	—
1618	C₂×C₄	—	10	2	no	—
1619	C₂×C₄	—	10	4	no	—
1620	C₂×C₄	—	10	4	no	—
1621	C₂×C₄	—	10	2	no	—
1622	C₂×C₄	—	10	1	no	—
1623	C₂×C₄	—	10	1	no	—
1624	C₂×C₄	—	10	1	no	—
1625	C₂×C₄	—	10	1	no	—
1626	C₂×C₄	—	10	1	no	—
1627	C₂×C₄	—	10	1	no	—
1628	C₂×C₄	—	10	1	no	—
1629	C₂×C₄	—	20	1	no	—
1630	C₂×C₄	—	20	1	no	—
1631	C₂×C₄	—	20	1	no	—
1632	C₂×C₄	—	20	1	no	—
1633	C₂×C₄	—	20	2	no	—
1634	C₂×C₄	—	20	2	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	—	40	1	no	—
1637	C₂×C₄	—	40	1	no	—
1638	C₂×C₄	—	40	1	no	—
1639	C₂×C₄	—	40	1	no	—
1640	C₂×C₄	—	40	1	no	—
1641	C₂×C₄	—	40	1	no	—
1642	C₂×C₄	—	40	1	no	—
1643	C₂×C₄	—	40	1	no	—
1644	C₂×C₄	—	40	1	no	—
1645	C₂×C₄	—	40	1	no	—
1646	C₂×C₄	—	40	1	no	—
1647	C₂×C₄	—	40	1	no	—
1648	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1649	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1650	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1651	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1652	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1653	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1654	C₈	—	2	1	no	—
1655	C₈	—	2	1	no	—
1656	C₈	—	2	1	no	—
1657	C₈	—	2	1	no	—
1658	C₈	—	10	1	no	—
1659	C₈	—	10	1	no	—
1660	C₈	—	10	1	no	—
1661	C₈	—	10	1	no	—
1662	C₅	#60586	1	1	yes	characteristic, complemented, Sylow
1663	C₂²	—	2	1	no	—
1664	C₂²	—	2	1	no	—
1665	C₂²	—	2	1	no	—
1666	C₂²	—	5	2	no	—
1667	C₂²	—	10	1	no	—
1668	C₂²	—	10	1	no	—
1669	C₂²	—	10	2	no	—
1670	C₂²	—	10	2	no	—
1671	C₂²	—	10	1	no	—
1672	C₂²	—	10	1	no	—
1673	C₂²	—	10	1	no	—
1674	C₂²	—	20	1	no	—
1675	C₂²	—	20	1	no	—
1676	C₂²	—	20	1	no	—
1677	C₂²	—	20	1	no	—
1678	C₂²	—	20	1	no	—
1679	C₂²	—	20	1	no	—
1680	C₂²	—	20	1	no	—
1681	C₂²	—	40	2	no	—
1682	C₂²	—	40	4	no	—
1683	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1684	C₄	—	2	2	no	—
1685	C₄	—	2	2	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	5	2	no	—
1698	C₄	—	10	1	no	—
1699	C₄	—	10	1	no	—
1700	C₄	—	10	1	no	—
1701	C₄	—	10	1	no	—
1702	C₄	—	10	1	no	—
1703	C₄	—	20	1	no	—
1704	C₄	—	20	1	no	—
1705	C₄	—	20	1	no	—
1706	C₄	—	20	1	no	—
1707	C₄	—	20	1	no	—
1708	C₄	C₂×D₅×#41	1	1	yes	characteristic
1709	C₄	C₂×D₅×#41	1	1	yes	characteristic
1710	C₂	—	4	1	no	—
1711	C₂	—	10	2	no	—
1712	C₂	—	20	1	no	—
1713	C₂	—	20	2	no	—
1714	C₂	—	20	2	no	—
1715	C₂	—	40	1	no	—
1716	C₂	D₅×#525	1	1	yes	characteristic
1717	C₂	#10619111	1	1	yes	characteristic
1718	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×#3127	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10611913	C₂
hypercenter	#3127	D₅
hypocenter	C₅	#60586
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3127

Complements

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

N	H ≅ G/N	type
1. #10618410	C₂	semidirect
2. #10617773	C₂	semidirect
3. C₅×#3127	C₂	semidirect
4. #10615178	C₂	semidirect
5. #10614283	C₂	semidirect
6. #10613247	C₂	semidirect
7. D₅×#485	C₂	semidirect
8. #10613229	C₂	semidirect
9. #10613227	C₂	semidirect
10. #10612966	C₂	semidirect
11. #10612965	C₂	semidirect
12. #10612937	C₂	semidirect
13. #10612935	C₂	semidirect
14. #10612210	C₂	semidirect
15. #10612210	C₂	semidirect
16. #10612190	C₂	semidirect
17. #10612188	C₂	semidirect
18. #10611915	C₂	semidirect
20. #10611908	C₂	semidirect
21. #10611907	C₂	semidirect
22. #10611579	C₂	semidirect
23. #10611578	C₂	semidirect
24. #10611563	C₂	semidirect
25. #10611561	C₂	semidirect
26. #10611478	C₂	semidirect
27. #10611477	C₂	semidirect
28. #10611452	C₂	semidirect
29. #10611450	C₂	semidirect
30. #10611114	C₂	semidirect
31. #10611105	C₂	semidirect
40. #66062	C₂²	semidirect
41. #66058	C₂²	semidirect
49. #66025	C₂²	semidirect
51. #66023	C₂²	semidirect
56. #65914	C₂²	semidirect
57. #65912	C₂²	semidirect
64. #65908	C₂²	semidirect
71. #65906	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#479	C₂²	semidirect
85. C₅×#462	C₂²	semidirect
86. C₅×#462	C₂²	semidirect
89. C₅×#441	C₂²	semidirect
90. C₅×#441	C₂²	semidirect
91. C₄×C₅×Q₁₆	C₂²	semidirect
92. C₄×C₅×Q₁₆	C₂²	semidirect
100. #65474	C₂²	semidirect
101. #65474	C₂²	semidirect
102. #65473	C₂²	semidirect
103. #65473	C₂²	semidirect
104. Q₁₆×Dic₅	C₂²	semidirect
105. Q₁₆×Dic₅	C₂²	semidirect
106. #65471	C₂²	semidirect
107. #65471	C₂²	semidirect
108. #65372	C₂²	semidirect
109. #65372	C₂²	semidirect
110. #65355	C₂²	semidirect
111. #65355	C₂²	semidirect
116. #65319	C₂²	semidirect
117. C₄×#689	C₂²	semidirect
118. #65317	C₂²	semidirect
119. #65317	C₂²	semidirect
120. #65315	C₂²	semidirect
121. #65315	C₂²	semidirect
122. #65315	C₂²	semidirect
123. C₄×#688	C₂²	semidirect
124. C₄×#688	C₂²	semidirect
125. C₄×#688	C₂²	semidirect
126. #65310	C₂²	semidirect
127. #65309	C₂²	semidirect
131. #65180	C₂²	semidirect
132. #65179	C₂²	semidirect
133. #65178	C₂²	semidirect
134. #65177	C₂²	semidirect
135. #65174	C₂²	semidirect
136. #65170	C₂²	semidirect
137. D₅×#107	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65158	C₂²	semidirect
142. #65156	C₂²	semidirect
143. #65155	C₂²	semidirect
144. #65150	C₂²	semidirect
145. D₅×#106	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65135	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65133	C₂²	semidirect
150. #65131	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. #65122	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65108	C₂²	semidirect
157. #65107	C₂²	semidirect
158. #65107	C₂²	semidirect
159. #65106	C₂²	semidirect
160. #65106	C₂²	semidirect
161. #65106	C₂²	semidirect
162. #65104	C₂²	semidirect
163. #65104	C₂²	semidirect
164. #65103	C₂²	semidirect
165. #65103	C₂²	semidirect
174. #65092	C₂²	semidirect
175. #65092	C₂²	semidirect
176. D₅×#103	C₂²	semidirect
177. D₅×#103	C₂²	semidirect
178. #65088	C₂²	semidirect
179. #65085	C₂²	semidirect
180. #65083	C₂²	semidirect
181. #65080	C₂²	semidirect
182. #65079	C₂²	semidirect
183. #65078	C₂²	semidirect
184. #65077	C₂²	semidirect
185. #65077	C₂²	semidirect
186. #65077	C₂²	semidirect
195. #65000	C₂²	semidirect
196. #64999	C₂²	semidirect
197. #64997	C₂²	semidirect
198. #64994	C₂²	semidirect
199. C₄×D₄₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64974	C₂²	semidirect
488. #3127	D₅	semidirect
796. #479	C₂×D₅	semidirect
797. #479	C₂×D₅	semidirect
820. #462	C₂×D₅	semidirect
821. #462	C₂×D₅	semidirect
848. #441	C₂×D₅	semidirect
849. #441	C₂×D₅	semidirect
862. C₄×Q₁₆	C₂×D₅	semidirect
863. C₄×Q₁₆	C₂×D₅	semidirect
1662. C₅	#60586	semidirect

Maximal subgroups

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

subgroup	index
#10618410	2
#10617773	2
C₅×#3127	2
#10615178	2
#10614283	2
#10613247	2
D₅×#485	2
#10613229	2
#10613227	2
#10612966	2
#10612965	2
#10612937	2
#10612935	2
#10612210	2
#10612190	2
#10612188	2
#10611915	2
#10611913	2
#10611908	2
#10611907	2
#10611579	2
#10611578	2
#10611563	2
#10611561	2
#10611478	2
#10611477	2
#10611452	2
#10611450	2
#10611114	2
#10611105	2
#60586	5