Subgroups — #12968133

Order 1280.

1998 conjugacy classes of subgroups.

The subgroup lattice has 1686 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
2	D₅×#519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3127	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615182	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614283	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613248	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613246	C₂	1	1	yes	maximal, characteristic
8	#10613230	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613228	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612964	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612963	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612938	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612936	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612209	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612209	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612189	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612187	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611914	C₂	1	1	yes	maximal, characteristic
19	D₅×#451	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611908	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611907	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611565	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611564	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611562	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611561	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611454	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611453	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611451	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611450	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611125	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₅	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×#4064	C₂²	1	1	yes	characteristic
37	C₂×#4064	C₂²	1	1	yes	characteristic
38	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
39	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
40	#66062	C₂²	1	1	yes	characteristic
41	#66058	C₂²	1	1	yes	characteristic
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
50	#66024	—	2	1	no	—
51	#66023	C₂²	1	1	yes	characteristic
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
57	#65912	C₂²	1	1	yes	characteristic
58	#65908	C₂²	1	1	yes	characteristic
59	#65906	—	2	1	no	—
60	#65906	—	2	1	no	—
61	#65906	C₂²	1	1	yes	characteristic
62	#65906	C₂²	1	1	yes	characteristic
63	#65906	C₂²	1	1	yes	characteristic
64	#65906	C₂²	1	1	yes	characteristic
65	#65906	C₂²	1	1	yes	characteristic
66	C₄×Q₈×D₅	—	2	1	no	—
67	C₄×Q₈×D₅	—	2	1	no	—
68	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
69	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
70	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
71	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
72	#65868	C₂²	1	1	yes	characteristic
73	D₅×#117	—	2	1	no	—
74	D₅×#117	—	2	1	no	—
75	D₅×#117	C₂²	1	1	yes	characteristic
76	D₅×#117	C₂²	1	1	yes	characteristic
77	#65850	—	2	1	no	—
78	#65850	—	2	1	no	—
79	#65850	C₂²	1	1	yes	characteristic
80	#65850	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	#65475	C₂²	1	1	yes	characteristic
97	#65475	C₂²	1	1	yes	characteristic
98	#65475	C₂²	1	1	yes	characteristic
99	#65475	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	#65379	C₂²	1	1	yes	characteristic, complemented
109	#65379	C₂²	1	1	yes	characteristic, complemented
110	#65352	C₂²	1	1	yes	characteristic, complemented
111	#65352	C₂²	1	1	yes	characteristic, complemented
112	#65339	C₂²	1	1	yes	characteristic
113	#65339	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	#65319	C₂²	1	1	yes	characteristic, complemented
118	#65319	C₂²	1	1	yes	characteristic, complemented
119	C₄×#689	C₂²	1	1	yes	characteristic, complemented
120	C₄×#689	C₂²	1	1	yes	characteristic, complemented
121	C₄×#689	C₂²	1	1	yes	characteristic, complemented
122	#65317	C₂²	1	1	yes	characteristic, complemented
123	#65317	C₂²	1	1	yes	characteristic, complemented
124	#65315	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	#65178	C₂²	1	1	yes	characteristic, complemented
132	#65173	C₂²	1	1	yes	characteristic
133	#65171	C₂²	1	1	yes	characteristic
134	#65170	C₂²	1	1	yes	characteristic
135	#65169	C₂²	1	1	yes	characteristic
136	#65166	C₂²	1	1	yes	characteristic, complemented
137	#65164	C₂²	1	1	yes	characteristic, complemented
138	#65162	C₂²	1	1	yes	characteristic, complemented
139	#65152	C₂²	1	1	yes	characteristic
140	#65151	C₂²	1	1	yes	characteristic
141	#65150	C₂²	1	1	yes	characteristic
142	#65149	C₂²	1	1	yes	characteristic
143	#65146	C₂²	1	1	yes	characteristic, complemented
144	#65143	C₂²	1	1	yes	characteristic, complemented
145	#65142	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65140	C₂²	1	1	yes	characteristic, complemented
148	#65139	C₂²	1	1	yes	characteristic, complemented
149	#65134	C₂²	1	1	yes	characteristic, complemented
150	#65134	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic
152	#65128	C₂²	1	1	yes	characteristic
153	#65124	C₂²	1	1	yes	characteristic
154	#65122	C₂²	1	1	yes	characteristic
155	#65106	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic
157	#65098	C₂²	1	1	yes	characteristic
158	#65097	C₂²	1	1	yes	characteristic
159	#65097	C₂²	1	1	yes	characteristic
160	#65095	C₂²	1	1	yes	characteristic
161	#65095	C₂²	1	1	yes	characteristic
162	#65094	C₂²	1	1	yes	characteristic
163	#65094	C₂²	1	1	yes	characteristic
164	#65093	C₂²	1	1	yes	characteristic
165	#65093	C₂²	1	1	yes	characteristic
166	#65091	C₂²	1	1	yes	characteristic
167	#65091	C₂²	1	1	yes	characteristic
168	#65091	C₂²	1	1	yes	characteristic
169	#65091	C₂²	1	1	yes	characteristic
170	D₅×#103	C₂²	1	1	yes	characteristic
171	D₅×#103	C₂²	1	1	yes	characteristic
172	#65088	C₂²	1	1	yes	characteristic, complemented
173	#65087	C₂²	1	1	yes	characteristic, complemented
174	#65087	C₂²	1	1	yes	characteristic, complemented
175	#65085	C₂²	1	1	yes	characteristic, complemented
176	#65083	C₂²	1	1	yes	characteristic, complemented
177	#65082	C₂²	1	1	yes	characteristic, complemented
178	#65082	C₂²	1	1	yes	characteristic, complemented
179	#65080	C₂²	1	1	yes	characteristic, complemented
180	#65079	C₂²	1	1	yes	characteristic, complemented
181	#65079	C₂²	1	1	yes	characteristic, complemented
182	#65079	C₂²	1	1	yes	characteristic, complemented
183	#65078	C₂²	1	1	yes	characteristic, complemented
184	#65078	C₂²	1	1	yes	characteristic, complemented
185	#65078	C₂²	1	1	yes	characteristic, complemented
186	#65077	C₂²	1	1	yes	characteristic, complemented
187	#65028	C₂²	1	1	yes	characteristic
188	#65027	C₂²	1	1	yes	characteristic
189	#65026	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	#65005	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic, complemented
197	#64997	C₂²	1	1	yes	characteristic
198	#64994	C₂²	1	1	yes	characteristic
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic
202	#64974	C₂²	1	1	yes	characteristic
203	#60583	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	—	2	4	no	—
207	C₂×Q₈×D₅	—	2	4	no	—
208	C₂×Q₈×D₅	—	2	1	no	—
209	C₂×Q₈×D₅	—	2	1	no	—
210	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅	—	2	1	no	—
216	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂²×Dic₁₀	—	2	1	no	—
218	C₂²×Dic₁₀	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×#689	C₂³	1	1	yes	characteristic
258	C₂×#689	C₂³	1	1	yes	characteristic
259	C₂×#689	C₂³	1	1	yes	characteristic
260	C₂×#689	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	#4064	—	2	4	no	—
270	#4064	—	2	4	no	—
271	D₅×Q₁₆	—	2	4	no	—
272	D₅×Q₁₆	—	2	4	no	—
273	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
274	C₂×Dic₂₀	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	C₂³	1	1	yes	characteristic
305	#4038	—	2	1	no	—
306	#4038	—	2	1	no	—
307	#4038	—	2	1	no	—
308	#4038	—	2	1	no	—
309	#4038	—	2	1	no	—
310	#4038	—	2	1	no	—
311	#4038	—	2	1	no	—
312	#4038	D₄	1	1	yes	characteristic
313	#4038	D₄	1	1	yes	characteristic
314	#4038	C₂³	1	1	yes	characteristic
315	#4038	C₂³	1	1	yes	characteristic
316	#4038	C₂³	1	1	yes	characteristic
317	D₅×C₄⋊C₄	—	2	1	no	—
318	D₅×C₄⋊C₄	—	2	1	no	—
319	D₅×C₄⋊C₄	—	2	1	no	—
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	D₄	1	1	yes	characteristic
324	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
325	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	#4036	—	2	1	no	—
329	#4036	—	2	1	no	—
330	#4036	C₂³	1	1	yes	characteristic
331	#4035	—	2	1	no	—
332	#4035	—	2	1	no	—
333	#4035	—	2	1	no	—
334	#4034	—	2	1	no	—
335	#4034	C₂³	1	1	yes	characteristic
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	—	2	1	no	—
345	#4033	—	2	1	no	—
346	#4033	—	2	1	no	—
347	#4033	—	2	1	no	—
348	#4033	C₂³	1	1	yes	characteristic
349	#4033	C₂³	1	1	yes	characteristic
350	#4033	C₂³	1	1	yes	characteristic
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#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	D₄	1	1	yes	characteristic
362	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
363	#4025	—	2	1	no	—
364	#4025	—	2	1	no	—
365	#4024	—	2	1	no	—
366	#4023	—	2	1	no	—
367	#4023	—	2	1	no	—
368	#4023	—	2	1	no	—
369	#4023	—	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	C₂³	1	1	yes	characteristic
377	#4018	—	2	1	no	—
378	#4018	—	2	1	no	—
379	#4018	—	2	1	no	—
380	#4018	—	2	1	no	—
381	#4018	—	2	1	no	—
382	#4018	—	2	1	no	—
383	#4018	—	2	1	no	—
384	#4018	—	2	1	no	—
385	#4018	—	2	1	no	—
386	#4018	C₂³	1	1	yes	characteristic
387	#4018	C₂³	1	1	yes	characteristic
388	C₄²×D₅	—	2	1	no	—
389	C₄²×D₅	—	2	1	no	—
390	C₄²×D₅	—	2	1	no	—
391	C₄²×D₅	—	2	1	no	—
392	C₄²×D₅	—	2	1	no	—
393	C₄²×D₅	C₂³	1	1	yes	characteristic
394	C₄²×D₅	C₂³	1	1	yes	characteristic
395	#4015	C₂³	1	1	yes	characteristic
396	C₄×Dic₁₀	—	2	1	no	—
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	—	2	1	no	—
399	C₄×Dic₁₀	—	2	1	no	—
400	C₄×Dic₁₀	—	2	1	no	—
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
407	C₄×Dic₁₀	—	2	1	no	—
408	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
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	#3952	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3949	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	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	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	C₂³	1	1	yes	characteristic
470	#3942	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	C₂×#519	—	5	1	no	—
487	#3127	—	5	1	no	—
488	#3127	—	5	1	no	—
489	#3127	—	5	1	no	—
490	#3127	D₅	1	1	yes	characteristic, complemented
491	#3121	—	5	1	no	—
492	#3121	—	5	1	no	—
493	#3121	—	5	1	no	—
494	#3121	—	5	1	no	—
495	#3117	—	5	1	no	—
496	#3117	—	5	1	no	—
497	#3113	—	5	1	no	—
498	#3113	—	5	1	no	—
499	#3108	—	5	1	no	—
500	#3108	—	5	1	no	—
501	#3104	—	5	1	no	—
502	#3104	—	5	1	no	—
503	#3095	—	5	1	no	—
504	#3091	—	5	1	no	—
505	#3082	—	5	1	no	—
506	#3082	—	5	1	no	—
507	#3044	—	5	1	no	—
508	#3044	—	5	1	no	—
509	#3004	—	5	1	no	—
510	C₂×#451	—	5	1	no	—
511	#2950	—	5	1	no	—
512	#2950	—	5	1	no	—
513	#2947	—	5	1	no	—
514	#2947	—	5	1	no	—
515	#2924	—	5	1	no	—
516	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	—	2	2	no	—
518	C₂×C₅×Q₈	—	2	2	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂²×Dic₅	—	2	1	no	—
528	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
529	#713	—	2	2	no	—
530	#713	—	2	2	no	—
531	Q₈×D₅	—	2	8	no	—
532	Q₈×D₅	—	2	8	no	—
533	Q₈×D₅	—	2	2	no	—
534	Q₈×D₅	—	2	2	no	—
535	Q₈×D₅	—	2	2	no	—
536	Q₈×D₅	—	2	2	no	—
537	Q₈×D₅	—	2	2	no	—
538	Q₈×D₅	—	2	2	no	—
539	Q₈×D₅	—	2	2	no	—
540	Q₈×D₅	—	2	2	no	—
541	Q₈×D₅	#41	1	4	yes	—
542	Q₈×D₅	#41	1	4	yes	—
543	C₂×D₂₀	—	2	1	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₅	—	2	8	no	—
547	C₂×C₄×D₅	—	2	1	no	—
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	—	2	2	no	—
552	C₂×C₄×D₅	—	2	2	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	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	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
568	C₂×Dic₁₀	—	2	8	no	—
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	2	no	—
575	C₂×Dic₁₀	—	2	2	no	—
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	2	1	no	—
578	C₂×Dic₁₀	—	2	1	no	—
579	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
581	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
582	C₅×Q₁₆	—	2	2	no	—
583	C₅×Q₁₆	—	2	2	no	—
584	C₅×Q₁₆	—	2	2	no	—
585	C₅×Q₁₆	—	2	2	no	—
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
612	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₄²×C₅	—	2	1	no	—
614	C₄²×C₅	—	2	1	no	—
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	—	2	1	no	—
617	C₄²×C₅	—	2	1	no	—
618	C₄²×C₅	—	2	1	no	—
619	C₄²×C₅	—	2	1	no	—
620	C₄²×C₅	C₂⁴	1	1	yes	characteristic
621	C₄²×C₅	C₂⁴	1	1	yes	characteristic
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
626	#689	—	2	2	no	—
627	#689	—	2	2	no	—
628	#689	—	2	2	no	—
629	#689	—	2	2	no	—
630	#689	—	2	2	no	—
631	#689	—	2	2	no	—
632	#688	—	2	2	no	—
633	#688	—	2	2	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	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	C₂×D₄	1	1	yes	characteristic
649	#685	C₂×D₄	1	1	yes	characteristic
650	#685	C₂×D₄	1	1	yes	characteristic
651	#685	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
662	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
663	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
664	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
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	—	2	1	no	—
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	Dic₂₀	—	2	2	no	—
722	Dic₂₀	—	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	C₂³×Q₈	—	5	1	no	—
730	C₂×#137	—	5	1	no	—
731	C₂×#137	—	5	1	no	—
732	C₂²×Q₁₆	—	5	1	no	—
733	C₂²×Q₁₆	—	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	#519	—	5	1	no	—
756	#519	—	5	1	no	—
757	#519	—	5	1	no	—
758	#519	—	5	1	no	—
759	#519	—	5	1	no	—
760	#519	—	5	1	no	—
761	#519	—	5	1	no	—
762	#519	—	5	1	no	—
763	#519	—	10	1	no	—
764	#519	—	10	1	no	—
765	#519	—	10	1	no	—
766	#519	—	10	1	no	—
767	#519	C₂×D₅	1	1	yes	characteristic
768	C₂×C₄×Q₈	—	5	1	no	—
769	C₂×C₄×Q₈	—	5	1	no	—
770	C₂×C₄×Q₈	—	5	1	no	—
771	C₂×C₄×Q₈	—	5	1	no	—
772	C₂×C₄×Q₈	—	10	1	no	—
773	C₂×C₄×Q₈	—	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	C₂×D₅	1	1	yes	characteristic
783	#485	C₂×D₅	1	1	yes	characteristic
784	#484	—	5	1	no	—
785	#484	—	5	1	no	—
786	#484	—	5	1	no	—
787	#483	—	5	1	no	—
788	#483	—	5	1	no	—
789	#483	—	5	1	no	—
790	#482	—	5	1	no	—
791	#482	—	5	1	no	—
792	#481	—	5	1	no	—
793	#480	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	—	5	1	no	—
798	#479	—	5	1	no	—
799	#479	—	5	1	no	—
800	#479	C₂×D₅	1	1	yes	characteristic, complemented
801	#479	C₂×D₅	1	1	yes	characteristic, complemented
802	#477	—	5	1	no	—
803	#477	—	5	1	no	—
804	#477	—	5	1	no	—
805	#477	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	—	5	1	no	—
809	#475	—	5	1	no	—
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#462	—	5	1	no	—
819	#462	—	5	1	no	—
820	#462	—	5	1	no	—
821	#462	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#462	C₂×D₅	1	1	yes	characteristic, complemented
825	#462	C₂×D₅	1	1	yes	characteristic, complemented
826	#451	—	5	1	no	—
827	#451	—	5	1	no	—
828	#451	—	5	1	no	—
829	#451	—	5	1	no	—
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	—	5	1	no	—
834	#451	—	5	1	no	—
835	#451	—	5	1	no	—
836	#451	C₂×D₅	1	1	yes	characteristic
837	#451	C₂×D₅	1	1	yes	characteristic
838	#448	—	5	1	no	—
839	#448	—	5	1	no	—
840	#448	—	5	1	no	—
841	#448	—	5	1	no	—
842	#441	—	5	1	no	—
843	#441	—	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	—	5	1	no	—
849	#441	—	5	1	no	—
850	#441	—	5	1	no	—
851	#441	—	5	1	no	—
852	#441	C₂×D₅	1	1	yes	characteristic, complemented
853	#441	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×Q₁₆	—	5	1	no	—
865	C₄×Q₁₆	—	5	1	no	—
866	C₄×Q₁₆	—	5	1	no	—
867	C₄×Q₁₆	—	5	1	no	—
868	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
869	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	—	5	1	no	—
872	C₄×SD₁₆	—	5	1	no	—
873	C₄×SD₁₆	—	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	#427	—	5	1	no	—
885	#427	—	5	1	no	—
886	#424	—	5	1	no	—
887	#424	—	5	1	no	—
888	#419	—	5	1	no	—
889	#419	—	5	1	no	—
890	#419	—	5	1	no	—
891	#419	—	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	2	no	—
902	C₂²×D₅	—	2	2	no	—
903	C₂²×D₅	—	2	1	no	—
904	C₂²×D₅	—	4	1	no	—
905	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
906	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
907	C₅×Q₈	—	2	4	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	2	1	no	—
911	C₅×Q₈	—	2	1	no	—
912	C₅×Q₈	—	2	1	no	—
913	C₅×Q₈	—	2	1	no	—
914	C₅×Q₈	C₂×#41	1	2	yes	—
915	C₅×Q₈	C₂×#41	1	2	yes	—
916	C₂×C₄×C₅	—	2	4	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	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	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
933	C₂²⋊D₅	—	8	1	no	—
934	C₂×Dic₅	—	2	4	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	2	2	no	—
938	C₂×Dic₅	—	2	1	no	—
939	C₂×Dic₅	—	2	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
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	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	D₂₀	—	2	1	no	—
950	D₂₀	—	2	1	no	—
951	D₂₀	—	4	2	no	—
952	D₂₀	—	4	2	no	—
953	C₄×D₅	—	2	4	no	—
954	C₄×D₅	—	2	4	no	—
955	C₄×D₅	—	2	4	no	—
956	C₄×D₅	—	2	4	no	—
957	C₄×D₅	—	2	2	no	—
958	C₄×D₅	—	2	2	no	—
959	C₄×D₅	—	2	2	no	—
960	C₄×D₅	—	2	1	no	—
961	C₄×D₅	—	2	1	no	—
962	C₄×D₅	—	2	2	no	—
963	C₄×D₅	—	4	1	no	—
964	C₄×D₅	—	4	1	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	4	2	no	—
967	C₄×D₅	—	4	2	no	—
968	C₄×D₅	—	4	2	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	C₂×#41	1	2	yes	—
973	C₄×D₅	C₂×#41	1	2	yes	—
974	Dic₁₀	—	2	4	no	—
975	Dic₁₀	—	2	4	no	—
976	Dic₁₀	—	2	4	no	—
977	Dic₁₀	—	2	1	no	—
978	Dic₁₀	—	2	1	no	—
979	Dic₁₀	—	2	4	no	—
980	Dic₁₀	—	2	4	no	—
981	Dic₁₀	—	2	1	no	—
982	Dic₁₀	—	2	1	no	—
983	Dic₁₀	—	4	2	no	—
984	Dic₁₀	—	8	1	no	—
985	Dic₁₀	—	8	1	no	—
986	Dic₁₀	C₂×#41	1	2	yes	—
987	Dic₁₀	C₂×#41	1	2	yes	—
988	C₅×C₈	—	2	1	no	—
989	C₅×C₈	—	2	1	no	—
990	C₅×C₈	—	2	1	no	—
991	C₅×C₈	—	2	1	no	—
992	#168	—	2	1	no	—
993	#168	—	2	1	no	—
994	#168	—	2	1	no	—
995	#168	—	2	1	no	—
996	C₂×#41	—	5	1	no	—
997	C₂²×Q₈	—	5	1	no	—
998	C₂²×Q₈	—	5	1	no	—
999	C₂²×Q₈	—	5	1	no	—
1000	C₂²×Q₈	—	5	1	no	—
1001	C₂²×Q₈	—	5	1	no	—
1002	C₂²×Q₈	—	5	1	no	—
1003	C₂²×Q₈	—	10	1	no	—
1004	C₂²×Q₈	—	10	1	no	—
1005	C₂²×Q₈	—	10	1	no	—
1006	C₂²×Q₈	—	10	4	no	—
1007	C₂²×Q₈	—	10	4	no	—
1008	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1009	C₂³×C₄	—	5	1	no	—
1010	C₂³×C₄	—	10	1	no	—
1011	#137	—	10	4	no	—
1012	#137	—	10	4	no	—
1013	C₂×Q₁₆	—	5	1	no	—
1014	C₂×Q₁₆	—	5	1	no	—
1015	C₂×Q₁₆	—	5	1	no	—
1016	C₂×Q₁₆	—	5	1	no	—
1017	C₂×Q₁₆	—	5	1	no	—
1018	C₂×Q₁₆	—	5	1	no	—
1019	C₂×Q₁₆	—	5	1	no	—
1020	C₂×Q₁₆	—	5	1	no	—
1021	C₂×Q₁₆	—	10	4	no	—
1022	C₂×Q₁₆	—	10	4	no	—
1023	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1024	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1025	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1026	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1027	C₂×SD₁₆	—	5	1	no	—
1028	C₂×SD₁₆	—	5	1	no	—
1029	C₂×SD₁₆	—	5	1	no	—
1030	C₂×SD₁₆	—	5	1	no	—
1031	C₂×M₁₆	—	5	1	no	—
1032	C₂×M₁₆	—	5	1	no	—
1033	C₂²×C₈	—	5	1	no	—
1034	C₂²×C₈	—	5	1	no	—
1035	C₄⋊Q₈	—	5	1	no	—
1036	C₄⋊Q₈	—	5	1	no	—
1037	C₄⋊Q₈	—	5	1	no	—
1038	C₄⋊Q₈	—	10	1	no	—
1039	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1040	#126	—	2	1	no	—
1041	#126	—	2	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#126	—	10	1	no	—
1046	#126	—	10	1	no	—
1047	#126	—	10	1	no	—
1048	#125	—	2	1	no	—
1049	#125	—	2	1	no	—
1050	#125	—	5	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	—	10	1	no	—
1056	#125	C₂²×D₅	1	1	yes	characteristic
1057	#124	—	5	1	no	—
1058	#124	—	5	1	no	—
1059	#124	—	10	1	no	—
1060	#124	—	10	1	no	—
1061	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	C₂²⋊Q₈	—	5	1	no	—
1069	C₂²⋊Q₈	—	5	1	no	—
1070	C₂²⋊Q₈	—	5	1	no	—
1071	C₂²⋊Q₈	—	5	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1083	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1084	#121	—	5	1	no	—
1085	#121	—	5	1	no	—
1086	#120	—	10	1	no	—
1087	C₄×Q₈	—	2	1	no	—
1088	C₄×Q₈	—	2	1	no	—
1089	C₄×Q₈	—	5	1	no	—
1090	C₄×Q₈	—	5	1	no	—
1091	C₄×Q₈	—	5	1	no	—
1092	C₄×Q₈	—	5	1	no	—
1093	C₄×Q₈	—	5	1	no	—
1094	C₄×Q₈	—	5	1	no	—
1095	C₄×Q₈	—	5	1	no	—
1096	C₄×Q₈	—	5	1	no	—
1097	C₄×Q₈	—	5	1	no	—
1098	C₄×Q₈	—	5	1	no	—
1099	C₄×Q₈	—	5	1	no	—
1100	C₄×Q₈	—	5	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	10	1	no	—
1106	C₄×Q₈	—	10	1	no	—
1107	C₄×Q₈	—	10	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×Q₈	—	10	1	no	—
1113	C₄×Q₈	—	10	1	no	—
1114	C₄×Q₈	—	10	1	no	—
1115	C₄×Q₈	—	10	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1132	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1134	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	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	#117	—	2	1	no	—
1146	#117	—	2	1	no	—
1147	#117	—	5	1	no	—
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	5	1	no	—
1151	#117	—	5	1	no	—
1152	#117	—	5	1	no	—
1153	#117	—	5	1	no	—
1154	#117	—	5	1	no	—
1155	#117	—	5	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	—	10	1	no	—
1167	#117	—	10	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	C₂²×D₅	1	1	yes	characteristic
1182	#117	C₂²×D₅	1	1	yes	characteristic
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	5	1	no	—
1186	C₂×C₄⋊C₄	—	5	1	no	—
1187	C₂×C₄⋊C₄	—	5	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×C₄⋊C₄	—	10	1	no	—
1193	C₂×C₄⋊C₄	—	10	1	no	—
1194	C₂×C₂²⋊C₄	—	5	1	no	—
1195	C₂×C₂²⋊C₄	—	5	1	no	—
1196	C₂×C₂²⋊C₄	—	10	1	no	—
1197	C₂×C₂²⋊C₄	—	10	1	no	—
1198	C₂×C₄²	—	5	1	no	—
1199	C₂×C₄²	—	5	1	no	—
1200	C₂×C₄²	—	10	1	no	—
1201	C₂×C₄²	—	10	1	no	—
1202	C₂×C₄²	—	10	1	no	—
1203	C₂×C₄²	—	10	1	no	—
1204	C₂×C₄²	—	10	1	no	—
1205	#107	—	5	1	no	—
1206	#107	—	5	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	—	5	1	no	—
1210	#107	—	5	1	no	—
1211	#107	C₂²×D₅	1	1	yes	characteristic
1212	#107	C₂²×D₅	1	1	yes	characteristic
1213	#106	—	5	1	no	—
1214	#106	—	5	1	no	—
1215	#106	—	5	1	no	—
1216	#106	—	5	1	no	—
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	C₂²×D₅	1	1	yes	characteristic
1220	#106	C₂²×D₅	1	1	yes	characteristic
1221	C₄⋊C₈	—	5	1	no	—
1222	C₄⋊C₈	—	5	1	no	—
1223	C₄⋊C₈	—	5	1	no	—
1224	C₄⋊C₈	—	5	1	no	—
1225	C₄⋊C₈	—	5	1	no	—
1226	C₄⋊C₈	—	5	1	no	—
1227	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1228	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1250	#103	C₂²×D₅	1	1	yes	characteristic
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	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	C₂²⋊C₈	—	5	1	no	—
1262	C₂²⋊C₈	—	5	1	no	—
1263	C₂²⋊C₈	—	5	1	no	—
1264	C₂²⋊C₈	—	5	1	no	—
1265	C₂²⋊C₈	—	5	1	no	—
1266	C₂²⋊C₈	—	5	1	no	—
1267	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1268	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1269	#97	—	5	1	no	—
1270	#97	—	5	1	no	—
1271	#97	—	5	1	no	—
1272	#97	C₂²×D₅	1	1	yes	characteristic
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	—	5	1	no	—
1276	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1277	C₂²×C₅	—	2	1	no	—
1278	C₂²×C₅	—	2	1	no	—
1279	C₂²×C₅	—	2	1	no	—
1280	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	2	1	no	—
1283	C₂×D₅	—	2	1	no	—
1284	C₂×D₅	—	2	1	no	—
1285	C₂×D₅	—	4	4	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	#525	1	2	yes	—
1290	C₂×D₅	#578	1	2	yes	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	2	1	no	—
1293	C₄×C₅	—	2	2	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	—	4	1	no	—
1304	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1305	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1306	Dic₅	—	2	1	no	—
1307	Dic₅	—	2	1	no	—
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	2	2	no	—
1310	Dic₅	—	2	2	no	—
1311	Dic₅	—	2	1	no	—
1312	Dic₅	—	2	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	—	4	1	no	—
1316	Dic₅	—	4	1	no	—
1317	Dic₅	—	4	1	no	—
1318	Dic₅	#525	1	2	yes	—
1319	C₂⁴	—	5	1	no	—
1320	#41	—	10	2	no	—
1321	#41	—	10	2	no	—
1322	C₂×Q₈	—	2	2	no	—
1323	C₂×Q₈	—	2	2	no	—
1324	C₂×Q₈	—	2	1	no	—
1325	C₂×Q₈	—	5	4	no	—
1326	C₂×Q₈	—	5	4	no	—
1327	C₂×Q₈	—	5	1	no	—
1328	C₂×Q₈	—	5	1	no	—
1329	C₂×Q₈	—	5	1	no	—
1330	C₂×Q₈	—	10	1	no	—
1331	C₂×Q₈	—	10	1	no	—
1332	C₂×Q₈	—	10	1	no	—
1333	C₂×Q₈	—	10	1	no	—
1334	C₂×Q₈	—	10	1	no	—
1335	C₂×Q₈	—	10	1	no	—
1336	C₂×Q₈	—	10	2	no	—
1337	C₂×Q₈	—	10	2	no	—
1338	C₂×Q₈	—	10	8	no	—
1339	C₂×Q₈	—	10	2	no	—
1340	C₂×Q₈	—	10	2	no	—
1341	C₂×Q₈	—	10	2	no	—
1342	C₂×Q₈	—	10	2	no	—
1343	C₂×Q₈	—	10	2	no	—
1344	C₂×Q₈	—	10	2	no	—
1345	C₂×Q₈	—	10	8	no	—
1346	C₂×Q₈	—	10	8	no	—
1347	C₂×Q₈	—	10	2	no	—
1348	C₂×Q₈	—	10	2	no	—
1349	C₂×Q₈	—	10	1	no	—
1350	C₂×Q₈	—	10	1	no	—
1351	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1352	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1353	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1354	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1355	C₂×D₄	—	5	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	10	1	no	—
1358	C₂×D₄	—	10	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	5	1	no	—
1361	C₂²×C₄	—	5	1	no	—
1362	C₂²×C₄	—	5	1	no	—
1363	C₂²×C₄	—	5	1	no	—
1364	C₂²×C₄	—	5	1	no	—
1365	C₂²×C₄	—	5	1	no	—
1366	C₂²×C₄	—	5	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	10	2	no	—
1370	C₂²×C₄	—	10	2	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	8	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	C₂³×D₅	1	1	yes	characteristic
1385	Q₁₆	—	2	2	no	—
1386	Q₁₆	—	2	2	no	—
1387	Q₁₆	—	2	2	no	—
1388	Q₁₆	—	2	2	no	—
1389	Q₁₆	—	10	2	no	—
1390	Q₁₆	—	10	2	no	—
1391	Q₁₆	—	10	2	no	—
1392	Q₁₆	—	10	2	no	—
1393	Q₁₆	—	10	2	no	—
1394	Q₁₆	—	10	2	no	—
1395	Q₁₆	—	10	2	no	—
1396	Q₁₆	—	10	2	no	—
1397	SD₁₆	—	10	2	no	—
1398	SD₁₆	—	10	2	no	—
1399	SD₁₆	—	10	2	no	—
1400	SD₁₆	—	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	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	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	—	10	1	no	—
1436	C₄⋊C₄	—	10	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	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1465	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1466	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1468	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1469	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	5	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	—	5	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	D₄×D₅	1	1	yes	characteristic
1496	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	5	1	no	—
1505	C₄²	—	5	1	no	—
1506	C₄²	—	5	1	no	—
1507	C₄²	—	5	1	no	—
1508	C₄²	—	5	1	no	—
1509	C₄²	—	5	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	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	—	10	1	no	—
1522	C₄²	—	10	1	no	—
1523	C₄²	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	—	10	1	no	—
1528	C₄²	—	10	1	no	—
1529	C₄²	—	10	1	no	—
1530	C₄²	C₂³×D₅	1	1	yes	characteristic
1531	C₄²	C₂³×D₅	1	1	yes	characteristic
1532	C₂×C₅	—	4	1	no	—
1533	C₂×C₅	C₂×#525	1	1	yes	characteristic
1534	C₂×C₅	C₂×#578	1	1	yes	characteristic
1535	C₂×C₅	#3586	1	1	yes	characteristic
1536	D₅	—	2	2	no	—
1537	D₅	—	2	2	no	—
1538	D₅	—	8	1	no	—
1539	C₂³	—	5	1	no	—
1540	C₂³	—	5	1	no	—
1541	C₂³	—	10	2	no	—
1542	C₂³	—	10	2	no	—
1543	C₂³	—	10	1	no	—
1544	C₂³	—	20	1	no	—
1545	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1546	Q₈	—	2	4	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	5	2	no	—
1554	Q₈	—	5	2	no	—
1555	Q₈	—	10	4	no	—
1556	Q₈	—	10	4	no	—
1557	Q₈	—	10	4	no	—
1558	Q₈	—	10	4	no	—
1559	Q₈	—	10	4	no	—
1560	Q₈	—	10	1	no	—
1561	Q₈	—	10	1	no	—
1562	Q₈	—	10	1	no	—
1563	Q₈	—	10	1	no	—
1564	Q₈	—	20	2	no	—
1565	Q₈	—	40	1	no	—
1566	Q₈	—	40	1	no	—
1567	Q₈	D₅×#41	1	2	yes	—
1568	Q₈	D₅×#41	1	2	yes	—
1569	D₄	—	10	1	no	—
1570	D₄	—	10	1	no	—
1571	D₄	—	20	2	no	—
1572	D₄	—	20	2	no	—
1573	D₄	—	40	1	no	—
1574	C₂×C₄	—	2	4	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	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	—	2	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	—	10	2	no	—
1594	C₂×C₄	—	10	2	no	—
1595	C₂×C₄	—	10	2	no	—
1596	C₂×C₄	—	10	2	no	—
1597	C₂×C₄	—	10	4	no	—
1598	C₂×C₄	—	10	4	no	—
1599	C₂×C₄	—	10	4	no	—
1600	C₂×C₄	—	10	4	no	—
1601	C₂×C₄	—	10	2	no	—
1602	C₂×C₄	—	10	4	no	—
1603	C₂×C₄	—	10	1	no	—
1604	C₂×C₄	—	10	1	no	—
1605	C₂×C₄	—	10	1	no	—
1606	C₂×C₄	—	10	1	no	—
1607	C₂×C₄	—	10	1	no	—
1608	C₂×C₄	—	10	1	no	—
1609	C₂×C₄	—	10	1	no	—
1610	C₂×C₄	—	10	1	no	—
1611	C₂×C₄	—	10	1	no	—
1612	C₂×C₄	—	20	1	no	—
1613	C₂×C₄	—	20	1	no	—
1614	C₂×C₄	—	20	2	no	—
1615	C₂×C₄	—	20	2	no	—
1616	C₂×C₄	—	20	2	no	—
1617	C₂×C₄	—	20	2	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
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	#60583	1	1	yes	characteristic, complemented, Sylow
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	5	2	no	—
1640	C₂²	—	5	2	no	—
1641	C₂²	—	10	1	no	—
1642	C₂²	—	10	1	no	—
1643	C₂²	—	10	1	no	—
1644	C₂²	—	10	1	no	—
1645	C₂²	—	20	4	no	—
1646	C₂²	—	20	1	no	—
1647	C₂²	—	20	1	no	—
1648	C₂²	—	20	1	no	—
1649	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1650	C₄	—	2	2	no	—
1651	C₄	—	2	2	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	5	2	no	—
1664	C₄	—	10	1	no	—
1665	C₄	—	10	2	no	—
1666	C₄	—	10	2	no	—
1667	C₄	—	10	1	no	—
1668	C₄	—	10	1	no	—
1669	C₄	—	10	1	no	—
1670	C₄	—	10	1	no	—
1671	C₄	—	20	1	no	—
1672	C₄	—	20	1	no	—
1673	C₄	—	20	1	no	—
1674	C₄	—	20	1	no	—
1675	C₄	—	20	1	no	—
1676	C₄	C₂×D₅×#41	1	1	yes	characteristic
1677	C₄	C₂×D₅×#41	1	1	yes	characteristic
1678	C₂	—	4	1	no	—
1679	C₂	—	10	2	no	—
1680	C₂	—	10	2	no	—
1681	C₂	—	40	1	no	—
1682	C₂	D₅×#525	1	1	yes	characteristic
1683	C₂	D₅×#578	1	1	yes	characteristic
1684	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	#65961	C₂²
hypercenter	#3127	D₅
hypocenter	C₅	#60583
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
2. D₅×#519	C₂	semidirect
3. C₅×#3127	C₂	semidirect
4. #10615182	C₂	semidirect
5. #10614283	C₂	semidirect
6. #10613248	C₂	semidirect
8. #10613230	C₂	semidirect
9. #10613228	C₂	semidirect
10. #10612964	C₂	semidirect
11. #10612963	C₂	semidirect
12. #10612938	C₂	semidirect
13. #10612936	C₂	semidirect
14. #10612209	C₂	semidirect
15. #10612209	C₂	semidirect
16. #10612189	C₂	semidirect
17. #10612187	C₂	semidirect
19. D₅×#451	C₂	semidirect
20. #10611908	C₂	semidirect
21. #10611907	C₂	semidirect
22. #10611565	C₂	semidirect
23. #10611564	C₂	semidirect
24. #10611562	C₂	semidirect
25. #10611561	C₂	semidirect
26. #10611454	C₂	semidirect
27. #10611453	C₂	semidirect
28. #10611451	C₂	semidirect
29. #10611450	C₂	semidirect
30. #10611125	C₂	semidirect
31. #10611105	C₂	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. #65379	C₂²	semidirect
109. #65379	C₂²	semidirect
110. #65352	C₂²	semidirect
111. #65352	C₂²	semidirect
116. #65319	C₂²	semidirect
117. #65319	C₂²	semidirect
118. #65319	C₂²	semidirect
119. C₄×#689	C₂²	semidirect
120. C₄×#689	C₂²	semidirect
121. C₄×#689	C₂²	semidirect
122. #65317	C₂²	semidirect
123. #65317	C₂²	semidirect
124. #65315	C₂²	semidirect
125. C₄×#688	C₂²	semidirect
126. #65310	C₂²	semidirect
127. #65309	C₂²	semidirect
131. #65178	C₂²	semidirect
136. #65166	C₂²	semidirect
137. #65164	C₂²	semidirect
138. #65162	C₂²	semidirect
143. #65146	C₂²	semidirect
144. #65143	C₂²	semidirect
145. #65142	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65140	C₂²	semidirect
148. #65139	C₂²	semidirect
149. #65134	C₂²	semidirect
150. #65134	C₂²	semidirect
155. #65106	C₂²	semidirect
172. #65088	C₂²	semidirect
173. #65087	C₂²	semidirect
174. #65087	C₂²	semidirect
175. #65085	C₂²	semidirect
176. #65083	C₂²	semidirect
177. #65082	C₂²	semidirect
178. #65082	C₂²	semidirect
179. #65080	C₂²	semidirect
180. #65079	C₂²	semidirect
181. #65079	C₂²	semidirect
182. #65079	C₂²	semidirect
183. #65078	C₂²	semidirect
184. #65078	C₂²	semidirect
185. #65078	C₂²	semidirect
186. #65077	C₂²	semidirect
195. #65005	C₂²	semidirect
196. #64999	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
490. #3127	D₅	semidirect
800. #479	C₂×D₅	semidirect
801. #479	C₂×D₅	semidirect
824. #462	C₂×D₅	semidirect
825. #462	C₂×D₅	semidirect
852. #441	C₂×D₅	semidirect
853. #441	C₂×D₅	semidirect
868. C₄×Q₁₆	C₂×D₅	semidirect
869. C₄×Q₁₆	C₂×D₅	semidirect
1635. C₅	#60583	semidirect

Maximal subgroups

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

subgroup	index
#10618410	2
D₅×#519	2
C₅×#3127	2
#10615182	2
#10614283	2
#10613248	2
#10613246	2
#10613230	2
#10613228	2
#10612964	2
#10612963	2
#10612938	2
#10612936	2
#10612209	2
#10612189	2
#10612187	2
#10611914	2
D₅×#451	2
#10611908	2
#10611907	2
#10611565	2
#10611564	2
#10611562	2
#10611561	2
#10611454	2
#10611453	2
#10611451	2
#10611450	2
#10611125	2
#10611105	2
#60583	5