Subgroups — #12981739

Order 1280.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1062 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618025	C₂	1	2	yes	maximal, complemented
2	C₅×#2966	C₂	1	1	yes	maximal, characteristic, complemented
3	#10611716	C₂	1	2	yes	maximal, complemented
4	#10611668	C₂	1	1	yes	maximal, characteristic, complemented
5	#10611643	C₂	1	1	yes	maximal, characteristic, complemented
6	#10611293	C₂	1	2	yes	maximal, complemented
7	#10611246	C₂	1	2	yes	maximal, complemented
8	#10611244	C₂	1	2	yes	maximal, complemented
9	D₄×Dic₂₀	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611175	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611175	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611147	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611146	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611144	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611125	C₂	1	2	yes	maximal, complemented
16	#10611116	C₂	1	2	yes	maximal, complemented
17	#10611088	C₂	1	2	yes	maximal, complemented
18	#10610308	C₂	1	1	yes	maximal, characteristic, complemented
19	#10610304	C₂	1	1	yes	maximal, characteristic, complemented
20	#10610299	C₂	1	1	yes	maximal, characteristic, complemented
21	#10610293	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×Dic₂₀	C₂	1	1	yes	maximal, characteristic, complemented
23	#10610200	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#529	C₂²	1	1	yes	characteristic
25	C₂²×Dic₂₀	C₂²	1	1	yes	characteristic
26	C₂²×Dic₂₀	C₂²	1	1	yes	characteristic
27	C₂×#4050	C₂²	1	1	yes	characteristic
28	#66042	—	2	2	no	—
29	#66036	—	2	2	no	—
30	#66030	—	2	2	no	—
31	#66003	—	2	2	no	—
32	#65983	—	2	2	no	—
33	#65983	—	2	2	no	—
34	#65970	—	2	2	no	—
35	#65935	—	2	2	no	—
36	#65918	C₂²	1	2	yes	—
37	#65901	C₂²	1	2	yes	—
38	#65899	C₂²	1	2	yes	—
39	#65886	C₂²	1	2	yes	—
40	#65886	C₂²	1	2	yes	—
41	#65877	C₂²	1	2	yes	—
42	#65875	C₂²	1	2	yes	—
43	D₄×Dic₁₀	C₂²	1	2	yes	—
44	#65868	C₂²	1	2	yes	—
45	#65857	C₂²	1	2	yes	—
46	#65852	C₂²	1	2	yes	—
47	#65850	C₂²	1	2	yes	—
48	#65813	C₂²	1	2	yes	—
49	C₂×C₄×Dic₁₀	C₂²	1	2	yes	—
50	C₅×#446	C₂²	1	1	yes	characteristic
51	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic
52	C₅×#436	C₂²	1	1	yes	characteristic
53	C₅×#435	C₂²	1	1	yes	characteristic
54	C₅×#435	C₂²	1	1	yes	characteristic
55	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
56	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
57	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
58	C₅×#433	C₂²	1	1	yes	characteristic
59	C₅×#433	C₂²	1	1	yes	characteristic
60	C₅×#432	C₂²	1	1	yes	characteristic
61	C₅×#405	C₂²	1	1	yes	characteristic
62	C₅×#405	C₂²	1	1	yes	characteristic
63	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
64	#65426	C₂²	1	2	yes	—
65	#65423	C₂²	1	2	yes	—
66	#65422	C₂²	1	2	yes	—
67	#65409	C₂²	1	2	yes	—
68	#65405	C₂²	1	1	yes	characteristic
69	#65405	C₂²	1	1	yes	characteristic
70	#65405	C₂²	1	1	yes	characteristic
71	#65405	C₂²	1	1	yes	characteristic
72	#65404	C₂²	1	1	yes	characteristic
73	#65404	C₂²	1	1	yes	characteristic
74	#65403	C₂²	1	2	yes	—
75	#65395	C₂²	1	1	yes	characteristic
76	C₂×#3950	C₂²	1	1	yes	characteristic
77	C₂×#3950	C₂²	1	1	yes	characteristic
78	C₂×#3948	C₂²	1	2	yes	—
79	#65140	C₂²	1	2	yes	—
80	#65139	C₂²	1	2	yes	—
81	#65138	C₂²	1	2	yes	—
82	#65136	C₂²	1	2	yes	—
83	#65134	C₂²	1	2	yes	—
84	#65134	C₂²	1	2	yes	—
85	#65134	C₂²	1	2	yes	—
86	#65134	C₂²	1	2	yes	—
87	#65130	C₂²	1	2	yes	—
88	#65118	C₂²	1	2	yes	—
89	#65118	C₂²	1	2	yes	—
90	#65118	C₂²	1	2	yes	—
91	#65028	C₂²	1	2	yes	—
92	#65028	C₂²	1	2	yes	—
93	#65027	C₂²	1	2	yes	—
94	#65027	C₂²	1	2	yes	—
95	#65026	C₂²	1	2	yes	—
96	#65024	C₂²	1	2	yes	—
97	#65022	C₂²	1	2	yes	—
98	#65022	C₂²	1	2	yes	—
99	#65012	C₂²	1	2	yes	—
100	#65011	C₂²	1	2	yes	—
101	#65011	C₂²	1	2	yes	—
102	#65010	C₂²	1	2	yes	—
103	#65005	C₂²	1	2	yes	—
104	#65005	C₂²	1	2	yes	—
105	#65005	C₂²	1	2	yes	—
106	#65003	C₂²	1	2	yes	—
107	#64999	C₂²	1	2	yes	—
108	#64999	C₂²	1	2	yes	—
109	#64999	C₂²	1	2	yes	—
110	#64992	C₂²	1	2	yes	—
111	#64988	C₂²	1	1	yes	characteristic
112	C₄×Dic₂₀	C₂²	1	2	yes	—
113	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
114	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
115	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
116	C₄×Dic₂₀	C₂²	1	2	yes	—
117	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
118	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
119	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
120	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
121	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
122	#64986	C₂²	1	2	yes	—
123	#64985	C₂²	1	1	yes	characteristic
124	#64985	C₂²	1	1	yes	characteristic
125	C₄×D₄₀	C₂²	1	1	yes	characteristic
126	C₄×D₄₀	C₂²	1	1	yes	characteristic
127	C₄×#677	C₂²	1	2	yes	—
128	#64972	C₂²	1	1	yes	characteristic
129	#64972	C₂²	1	1	yes	characteristic
130	#64971	C₂²	1	1	yes	characteristic
131	#61473	—	5	1	no	maximal, Sylow
132	C₂×#709	C₂³	1	2	yes	—
133	C₂²×Dic₁₀	C₂³	1	2	yes	—
134	C₂²×Dic₁₀	C₂³	1	2	yes	—
135	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
136	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
137	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
138	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
139	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
140	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
141	C₅×#126	D₄	1	1	yes	characteristic
142	C₅×#126	D₄	1	1	yes	characteristic
143	C₅×#125	D₄	1	1	yes	characteristic
144	C₅×#124	D₄	1	1	yes	characteristic
145	C₅×#123	D₄	1	1	yes	characteristic
146	C₅×#123	D₄	1	1	yes	characteristic
147	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
148	C₅×#121	D₄	1	1	yes	characteristic
149	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
150	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
151	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₅×#117	C₂³	1	1	yes	characteristic
154	C₅×#117	C₂³	1	1	yes	characteristic
155	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
156	#4092	—	2	2	no	—
157	#4090	—	2	2	no	—
158	#4085	—	2	2	no	—
159	#4085	—	2	2	no	—
160	#4085	—	2	2	no	—
161	#4081	—	2	2	no	—
162	D₄×Dic₅	—	2	2	no	—
163	D₄×Dic₅	—	2	2	no	—
164	#4076	C₂³	1	2	yes	—
165	#4076	C₂³	1	2	yes	—
166	#4075	—	2	2	no	—
167	C₄×C₂²⋊D₅	—	2	2	no	—
168	#4072	C₂³	1	2	yes	—
169	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
170	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
171	#4070	C₂³	1	2	yes	—
172	#4070	C₂³	1	2	yes	—
173	#4070	C₂³	1	2	yes	—
174	#4070	C₂³	1	2	yes	—
175	C₂×#683	—	2	2	no	—
176	C₂×C₄×Dic₅	—	2	2	no	—
177	C₂×Dic₂₀	—	2	4	no	—
178	C₂×Dic₂₀	—	2	4	no	—
179	C₂×Dic₂₀	C₂³	1	2	yes	—
180	C₂×Dic₂₀	C₂³	1	2	yes	—
181	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
182	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
183	C₂×Dic₂₀	C₂³	1	2	yes	—
184	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
185	#4050	—	2	4	no	—
186	C₂×D₄₀	C₂³	1	1	yes	characteristic
187	C₂×#677	C₂³	1	2	yes	—
188	C₂×#677	C₂³	1	2	yes	—
189	C₂×#677	C₂³	1	2	yes	—
190	#4044	—	2	2	no	—
191	#4044	—	2	2	no	—
192	#4044	—	2	2	no	—
193	#4044	—	2	2	no	—
194	#4042	—	2	2	no	—
195	#4042	—	2	2	no	—
196	#4042	—	2	2	no	—
197	#4038	—	2	2	no	—
198	#4038	—	2	2	no	—
199	D₅×C₄⋊C₄	—	2	2	no	—
200	#4036	—	2	2	no	—
201	#4035	—	2	2	no	—
202	#4035	—	2	2	no	—
203	#4035	—	2	2	no	—
204	#4035	—	2	2	no	—
205	#4035	—	2	2	no	—
206	#4034	—	2	2	no	—
207	#4033	—	2	2	no	—
208	#4033	—	2	2	no	—
209	#4033	—	2	2	no	—
210	#4031	—	2	2	no	—
211	#4031	—	2	2	no	—
212	#4031	—	2	2	no	—
213	#4029	—	2	2	no	—
214	#4029	—	2	2	no	—
215	#4027	—	2	2	no	—
216	#4027	—	2	2	no	—
217	#4027	—	2	2	no	—
218	#4027	—	2	2	no	—
219	#4027	—	2	2	no	—
220	#4025	—	2	2	no	—
221	#4025	—	2	2	no	—
222	#4025	—	2	2	no	—
223	#4024	—	2	2	no	—
224	#4024	—	2	2	no	—
225	#4024	—	2	2	no	—
226	#4024	—	2	2	no	—
227	#4023	—	2	2	no	—
228	#4023	—	2	2	no	—
229	#4023	—	2	2	no	—
230	#4022	—	2	2	no	—
231	#4021	C₂³	1	2	yes	—
232	#4021	C₂³	1	2	yes	—
233	C₄×D₂₀	C₂³	1	2	yes	—
234	C₄×D₂₀	C₂³	1	2	yes	—
235	#4018	—	2	2	no	—
236	#4016	C₂³	1	2	yes	—
237	#4016	C₂³	1	2	yes	—
238	#4015	C₂³	1	2	yes	—
239	#4015	C₂³	1	2	yes	—
240	C₄×Dic₁₀	—	2	2	no	—
241	C₄×Dic₁₀	—	2	2	no	—
242	C₄×Dic₁₀	C₂³	1	2	yes	—
243	C₄×Dic₁₀	C₂³	1	2	yes	—
244	C₄×Dic₁₀	C₂³	1	2	yes	—
245	C₄×Dic₁₀	C₂³	1	2	yes	—
246	C₄×Dic₁₀	C₂³	1	2	yes	—
247	C₄×Dic₁₀	C₂³	1	2	yes	—
248	C₄×Dic₁₀	C₂³	1	2	yes	—
249	C₄×Dic₁₀	C₂³	1	2	yes	—
250	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
252	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
255	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
256	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
257	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
258	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
259	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
260	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
261	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
262	C₅×#97	C₂³	1	1	yes	characteristic
263	C₅×#97	C₂³	1	1	yes	characteristic
264	C₅×#97	C₂³	1	1	yes	characteristic
265	C₅×#97	C₂³	1	1	yes	characteristic
266	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
267	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
268	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
269	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
270	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
271	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
272	#3953	C₂³	1	2	yes	—
273	#3953	C₂³	1	2	yes	—
274	#3953	C₂³	1	2	yes	—
275	#3953	C₂³	1	2	yes	—
276	#3950	C₂³	1	2	yes	—
277	#3950	C₂³	1	2	yes	—
278	#3950	C₂³	1	2	yes	—
279	#3950	C₂³	1	1	yes	characteristic
280	#3950	C₂³	1	1	yes	characteristic
281	#3950	C₂³	1	1	yes	characteristic
282	#3950	C₂³	1	1	yes	characteristic
283	#3949	C₂³	1	2	yes	—
284	#3949	C₂³	1	2	yes	—
285	#3949	C₂³	1	2	yes	—
286	#3948	C₂³	1	2	yes	—
287	#3948	C₂³	1	2	yes	—
288	#3948	C₂³	1	2	yes	—
289	#3948	C₂³	1	2	yes	—
290	#3948	C₂³	1	2	yes	—
291	#3948	C₂³	1	2	yes	—
292	#3948	C₂³	1	2	yes	—
293	#3948	C₂³	1	2	yes	—
294	#3948	C₂³	1	2	yes	—
295	#3948	C₂³	1	2	yes	—
296	#3948	C₂³	1	2	yes	—
297	#3948	C₂³	1	2	yes	—
298	#3516	—	5	2	no	—
299	#3393	—	5	1	no	—
300	#3383	—	5	1	no	—
301	#3377	—	5	2	no	—
302	#3339	—	5	1	no	—
303	#3338	—	5	1	no	—
304	#3336	—	5	1	no	—
305	#3327	—	5	2	no	—
306	#3320	—	5	2	no	—
307	#3316	—	5	2	no	—
308	D₄×Q₁₆	—	5	1	no	—
309	#3285	—	5	1	no	—
310	#3285	—	5	1	no	—
311	#3177	—	5	1	no	—
312	#3175	—	5	1	no	—
313	#3168	—	5	1	no	—
314	#3121	—	5	2	no	—
315	#3120	—	5	2	no	—
316	#3117	—	5	2	no	—
317	#2966	D₅	1	1	yes	characteristic, complemented
318	#2951	—	5	1	no	—
319	#2950	—	5	1	no	—
320	C₂×C₄×Q₁₆	—	5	1	no	—
321	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
322	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
323	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
324	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
327	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
330	C₂×C₂²⋊D₅	—	2	2	no	—
331	C₂×C₂²⋊D₅	—	2	2	no	—
332	C₂×C₂²⋊D₅	—	2	2	no	—
333	C₂²×Dic₅	—	2	2	no	—
334	C₂²×Dic₅	—	2	2	no	—
335	C₂²×Dic₅	—	2	2	no	—
336	C₂²×Dic₅	—	2	2	no	—
337	#709	—	2	4	no	—
338	#709	—	4	2	no	—
339	C₂×D₂₀	C₂⁴	1	2	yes	—
340	C₂×C₄×D₅	—	2	2	no	—
341	C₂×C₄×D₅	—	2	2	no	—
342	C₂×C₄×D₅	—	2	2	no	—
343	C₂×Dic₁₀	—	2	4	no	—
344	C₂×Dic₁₀	—	2	4	no	—
345	C₂×Dic₁₀	—	2	2	no	—
346	C₂×Dic₁₀	—	2	2	no	—
347	C₂×Dic₁₀	—	2	2	no	—
348	C₂×Dic₁₀	—	4	2	no	—
349	C₂×Dic₁₀	—	4	2	no	—
350	C₂×Dic₁₀	C₂⁴	1	2	yes	—
351	C₂×Dic₁₀	C₂⁴	1	2	yes	—
352	C₂×Dic₁₀	C₂⁴	1	2	yes	—
353	C₅×M₁₆	—	4	1	no	—
354	C₅×M₁₆	—	4	1	no	—
355	C₂×C₅×C₈	—	2	2	no	—
356	C₂×C₅×C₈	—	2	2	no	—
357	C₂×C₅×C₈	—	2	2	no	—
358	C₂×C₅×C₈	—	4	1	no	—
359	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
360	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
361	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
362	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
363	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
364	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
365	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
366	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
367	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
368	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
369	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
370	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
371	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
372	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
373	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
374	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
375	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
376	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
377	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
378	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
379	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
380	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
381	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
382	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
383	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
384	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
385	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
386	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
387	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
388	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
389	C₄²×C₅	C₂⁴	1	1	yes	characteristic
390	C₄²×C₅	C₂⁴	1	1	yes	characteristic
391	C₄²×C₅	C₂⁴	1	1	yes	characteristic
392	C₄²×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²⋊Dic₅	—	2	2	no	—
394	C₂²⋊Dic₅	—	2	2	no	—
395	C₂²⋊Dic₅	—	2	2	no	—
396	C₂²⋊Dic₅	—	2	2	no	—
397	C₂²⋊Dic₅	—	2	2	no	—
398	#685	—	2	2	no	—
399	#685	—	2	2	no	—
400	#685	—	2	2	no	—
401	#685	—	2	2	no	—
402	#685	—	2	2	no	—
403	#685	—	2	2	no	—
404	#685	—	2	2	no	—
405	#685	—	2	2	no	—
406	C₄⋊Dic₅	—	2	2	no	—
407	C₄⋊Dic₅	—	2	2	no	—
408	C₄⋊Dic₅	—	2	2	no	—
409	C₄⋊Dic₅	—	2	2	no	—
410	C₄⋊Dic₅	—	2	2	no	—
411	C₄⋊Dic₅	C₂⁴	1	2	yes	—
412	C₄⋊Dic₅	C₂⁴	1	2	yes	—
413	C₄⋊Dic₅	C₂⁴	1	2	yes	—
414	C₄⋊Dic₅	C₂⁴	1	2	yes	—
415	#683	—	2	2	no	—
416	#683	—	2	2	no	—
417	#683	—	2	2	no	—
418	#683	—	2	2	no	—
419	#683	—	2	2	no	—
420	#683	—	2	2	no	—
421	#683	—	2	2	no	—
422	#683	—	2	2	no	—
423	#683	—	2	2	no	—
424	#683	—	2	2	no	—
425	#683	—	2	2	no	—
426	#683	—	2	2	no	—
427	#683	—	2	2	no	—
428	#683	—	2	2	no	—
429	#683	—	2	2	no	—
430	#683	—	2	2	no	—
431	C₄×Dic₅	—	2	2	no	—
432	C₄×Dic₅	—	2	2	no	—
433	C₄×Dic₅	—	2	2	no	—
434	C₄×Dic₅	—	2	2	no	—
435	C₄×Dic₅	—	2	2	no	—
436	C₄×Dic₅	—	2	2	no	—
437	C₄×Dic₅	—	2	2	no	—
438	C₄×Dic₅	—	2	2	no	—
439	C₄×Dic₅	—	2	2	no	—
440	Dic₂₀	—	2	4	no	—
441	Dic₂₀	—	2	4	no	—
442	Dic₂₀	—	2	2	no	—
443	Dic₂₀	—	2	2	no	—
444	Dic₂₀	—	4	2	no	—
445	Dic₂₀	#41	1	4	yes	—
446	D₄₀	—	2	2	no	—
447	#677	—	2	4	no	—
448	#677	—	4	2	no	—
449	#677	—	4	2	no	—
450	C₂×#135	—	5	1	no	—
451	C₂²×Q₁₆	—	5	1	no	—
452	C₂²×Q₁₆	—	5	1	no	—
453	#557	—	5	2	no	—
454	#556	—	5	2	no	—
455	#556	—	10	2	no	—
456	#554	—	5	2	no	—
457	#554	—	10	2	no	—
458	#553	—	5	2	no	—
459	#553	—	10	2	no	—
460	#552	—	5	2	no	—
461	#552	—	10	2	no	—
462	D₄×Q₈	—	5	2	no	—
463	#548	—	5	2	no	—
464	#548	—	5	2	no	—
465	#542	—	5	2	no	—
466	#542	—	10	2	no	—
467	#541	—	5	2	no	—
468	#541	—	10	2	no	—
469	#529	—	5	2	no	—
470	#529	—	10	2	no	—
471	#529	—	10	2	no	—
472	#529	C₂×D₅	1	1	yes	characteristic
473	#520	—	5	2	no	—
474	#519	—	5	2	no	—
475	C₂×C₄×Q₈	—	5	2	no	—
476	#500	—	5	1	no	—
477	#499	—	5	1	no	—
478	#499	—	5	1	no	—
479	#495	—	5	1	no	—
480	#495	—	5	1	no	—
481	#494	—	5	1	no	—
482	#491	—	5	2	no	—
483	#489	—	5	2	no	—
484	#488	—	5	2	no	—
485	#485	—	5	2	no	—
486	#484	—	5	2	no	—
487	#484	—	5	2	no	—
488	#483	—	5	2	no	—
489	#482	—	5	2	no	—
490	#481	—	5	2	no	—
491	#479	—	5	2	no	—
492	#479	—	5	2	no	—
493	#479	—	5	2	no	—
494	#478	—	5	2	no	—
495	#477	—	5	2	no	—
496	#475	—	5	2	no	—
497	#470	—	5	2	no	—
498	#468	—	5	2	no	—
499	#467	—	5	1	no	—
500	#467	—	5	1	no	—
501	#467	—	5	1	no	—
502	#467	—	5	1	no	—
503	#466	—	5	1	no	—
504	#466	—	5	1	no	—
505	#465	—	5	2	no	—
506	#464	—	5	2	no	—
507	#464	—	5	2	no	—
508	#464	—	5	2	no	—
509	#464	—	5	2	no	—
510	#462	—	5	2	no	—
511	#461	—	5	2	no	—
512	#452	—	5	2	no	—
513	#452	—	5	2	no	—
514	#451	—	5	2	no	—
515	#451	—	5	2	no	—
516	#448	—	5	2	no	—
517	#448	—	5	2	no	—
518	#446	C₂×D₅	1	1	yes	characteristic
519	C₈×Q₈	C₂×D₅	1	1	yes	characteristic
520	#441	—	5	2	no	—
521	#441	—	5	2	no	—
522	#441	—	5	2	no	—
523	#440	—	5	2	no	—
524	#440	—	5	2	no	—
525	#440	—	5	2	no	—
526	C₄×Q₁₆	—	5	1	no	—
527	C₄×Q₁₆	—	5	1	no	—
528	C₄×Q₁₆	—	5	2	no	—
529	C₄×Q₁₆	—	5	2	no	—
530	C₄×Q₁₆	—	5	1	no	—
531	C₄×Q₁₆	—	5	1	no	—
532	C₄×Q₁₆	—	5	1	no	—
533	C₄×Q₁₆	—	5	1	no	—
534	C₄×Q₁₆	—	5	1	no	—
535	C₄×Q₁₆	—	5	1	no	—
536	C₄×SD₁₆	—	5	2	no	—
537	C₄×D₈	—	5	1	no	—
538	C₄×D₈	—	5	1	no	—
539	#436	C₂×D₅	1	1	yes	characteristic
540	#435	C₂×D₅	1	1	yes	characteristic
541	#435	C₂×D₅	1	1	yes	characteristic
542	C₈×D₄	C₂×D₅	1	1	yes	characteristic
543	C₈×D₄	C₂×D₅	1	1	yes	characteristic
544	C₈×D₄	C₂×D₅	1	1	yes	characteristic
545	#433	C₂×D₅	1	1	yes	characteristic
546	#433	C₂×D₅	1	1	yes	characteristic
547	#432	C₂×D₅	1	1	yes	characteristic
548	#427	—	5	1	no	—
549	C₂×#107	—	5	1	no	—
550	C₂×#107	—	5	1	no	—
551	#419	—	5	2	no	—
552	#417	—	5	2	no	—
553	C₂×#103	—	5	2	no	—
554	#405	C₂×D₅	1	1	yes	characteristic
555	#405	C₂×D₅	1	1	yes	characteristic
556	C₂×C₄×C₈	C₂×D₅	1	1	yes	characteristic
557	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
558	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
559	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
560	C₂²×D₅	—	2	2	no	—
561	C₅×Q₈	—	4	1	no	—
562	C₅×D₄	—	2	2	no	—
563	C₅×D₄	—	2	2	no	—
564	C₅×D₄	—	4	1	no	—
565	C₂×C₄×C₅	—	2	2	no	—
566	C₂×C₄×C₅	—	2	1	no	—
567	C₂×C₄×C₅	—	2	1	no	—
568	C₂×C₄×C₅	—	2	1	no	—
569	C₂×C₄×C₅	—	2	1	no	—
570	C₂×C₄×C₅	—	2	1	no	—
571	C₂×C₄×C₅	—	2	1	no	—
572	C₂×C₄×C₅	—	4	1	no	—
573	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
574	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
576	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
578	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
579	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
580	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
581	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
584	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
585	C₂²⋊D₅	—	4	4	no	—
586	C₂²⋊D₅	—	4	4	no	—
587	C₂²⋊D₅	—	8	2	no	—
588	C₂×Dic₅	—	2	2	no	—
589	C₂×Dic₅	—	2	2	no	—
590	C₂×Dic₅	—	2	2	no	—
591	C₂×Dic₅	—	2	2	no	—
592	C₂×Dic₅	—	2	2	no	—
593	C₂×Dic₅	—	2	2	no	—
594	C₂×Dic₅	—	2	2	no	—
595	C₂×Dic₅	—	4	4	no	—
596	C₂×Dic₅	—	4	4	no	—
597	C₂×Dic₅	—	8	2	no	—
598	C₂×Dic₅	—	8	2	no	—
599	D₂₀	—	2	2	no	—
600	D₂₀	—	2	2	no	—
601	C₄×D₅	—	4	4	no	—
602	C₄×D₅	—	8	2	no	—
603	C₄×D₅	—	8	2	no	—
604	Dic₁₀	—	2	2	no	—
605	Dic₁₀	—	2	2	no	—
606	Dic₁₀	—	2	2	no	—
607	Dic₁₀	—	2	2	no	—
608	Dic₁₀	—	2	2	no	—
609	Dic₁₀	—	4	4	no	—
610	Dic₁₀	—	4	4	no	—
611	Dic₁₀	—	8	2	no	—
612	Dic₁₀	C₂×#41	1	4	yes	—
613	C₅×C₈	—	2	1	no	—
614	C₅×C₈	—	2	1	no	—
615	C₅×C₈	—	2	1	no	—
616	C₅×C₈	—	2	1	no	—
617	C₅×C₈	—	2	1	no	—
618	C₅×C₈	—	2	1	no	—
619	C₅×C₈	—	2	1	no	—
620	C₅×C₈	C₂×#41	1	2	yes	—
621	C₂×#41	—	5	2	no	—
622	C₂²×Q₈	—	5	2	no	—
623	C₂²×Q₈	—	5	2	no	—
624	#135	—	10	4	no	—
625	C₂×Q₁₆	—	5	1	no	—
626	C₂×Q₁₆	—	5	2	no	—
627	C₂×Q₁₆	—	5	1	no	—
628	C₂×Q₁₆	—	5	1	no	—
629	C₂×Q₁₆	—	5	2	no	—
630	C₂×Q₁₆	—	5	2	no	—
631	C₂×Q₁₆	—	10	4	no	—
632	C₂×Q₁₆	—	10	4	no	—
633	C₂×SD₁₆	—	5	2	no	—
634	C₂×SD₁₆	—	5	2	no	—
635	C₂×SD₁₆	—	5	2	no	—
636	C₂×D₈	—	5	1	no	—
637	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
638	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
639	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
640	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
641	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
642	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
643	C₄⋊Q₈	—	5	2	no	—
644	C₄⋊Q₈	—	5	2	no	—
645	C₄⋊Q₈	—	10	2	no	—
646	C₄⋊Q₈	—	10	2	no	—
647	#126	—	10	2	no	—
648	#126	—	10	2	no	—
649	#126	—	10	2	no	—
650	#126	—	10	2	no	—
651	#126	—	10	2	no	—
652	#126	—	10	2	no	—
653	#126	—	10	2	no	—
654	#126	—	10	2	no	—
655	#126	D₂₀	1	1	yes	characteristic
656	#126	D₂₀	1	1	yes	characteristic
657	#125	—	5	2	no	—
658	#125	—	5	2	no	—
659	#125	—	10	2	no	—
660	#125	—	10	2	no	—
661	#125	—	10	2	no	—
662	#125	—	10	2	no	—
663	#125	—	10	2	no	—
664	#125	—	10	2	no	—
665	#125	D₂₀	1	1	yes	characteristic
666	#124	—	5	2	no	—
667	#124	—	5	2	no	—
668	#124	—	10	2	no	—
669	#124	—	10	2	no	—
670	#124	—	10	2	no	—
671	#124	D₂₀	1	1	yes	characteristic
672	#123	—	10	2	no	—
673	#123	—	10	2	no	—
674	#123	—	10	2	no	—
675	#123	—	10	2	no	—
676	#123	D₂₀	1	1	yes	characteristic
677	#123	D₂₀	1	1	yes	characteristic
678	C₂²⋊Q₈	—	5	2	no	—
679	C₂²⋊Q₈	—	5	2	no	—
680	C₂²⋊Q₈	—	5	2	no	—
681	C₂²⋊Q₈	—	5	2	no	—
682	C₂²⋊Q₈	—	10	2	no	—
683	C₂²⋊Q₈	—	10	2	no	—
684	C₂²⋊Q₈	—	10	2	no	—
685	C₂²⋊Q₈	—	10	2	no	—
686	C₂²⋊Q₈	—	10	2	no	—
687	C₂²⋊Q₈	—	10	2	no	—
688	C₂²⋊Q₈	—	10	2	no	—
689	C₂²⋊Q₈	—	10	2	no	—
690	C₂²⋊Q₈	D₂₀	1	1	yes	characteristic
691	#121	—	5	2	no	—
692	#121	—	5	2	no	—
693	#121	—	10	2	no	—
694	#121	—	10	2	no	—
695	#121	—	10	2	no	—
696	#121	D₂₀	1	1	yes	characteristic
697	C₄×Q₈	—	5	2	no	—
698	C₄×Q₈	—	5	2	no	—
699	C₄×Q₈	—	5	2	no	—
700	C₄×Q₈	—	5	2	no	—
701	C₄×Q₈	—	5	2	no	—
702	C₄×Q₈	—	5	2	no	—
703	C₄×Q₈	—	5	2	no	—
704	C₄×Q₈	—	5	2	no	—
705	C₄×Q₈	—	10	2	no	—
706	C₄×Q₈	—	10	2	no	—
707	C₄×Q₈	—	10	2	no	—
708	C₄×Q₈	—	10	2	no	—
709	C₄×Q₈	—	10	2	no	—
710	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
711	C₄×D₄	—	5	2	no	—
712	C₄×D₄	—	5	2	no	—
713	C₄×D₄	—	10	2	no	—
714	C₄×D₄	—	10	2	no	—
715	C₄×D₄	—	10	2	no	—
716	C₄×D₄	—	10	2	no	—
717	C₄×D₄	—	10	2	no	—
718	C₄×D₄	—	10	2	no	—
719	C₄×D₄	—	10	2	no	—
720	C₄×D₄	—	10	2	no	—
721	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
722	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
723	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
724	#117	—	5	2	no	—
725	#117	—	10	2	no	—
726	#117	—	10	2	no	—
727	#117	—	10	2	no	—
728	#117	—	10	2	no	—
729	#117	—	10	2	no	—
730	#117	—	10	2	no	—
731	#117	C₂²×D₅	1	1	yes	characteristic
732	#117	C₂²×D₅	1	1	yes	characteristic
733	C₂×C₄⋊C₄	—	5	2	no	—
734	C₂×C₄⋊C₄	—	5	2	no	—
735	C₂×C₄⋊C₄	—	10	2	no	—
736	C₂×C₄⋊C₄	—	10	2	no	—
737	C₂×C₄²	—	10	2	no	—
738	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
739	#107	—	5	1	no	—
740	#107	—	5	1	no	—
741	#107	—	5	1	no	—
742	#107	—	5	2	no	—
743	#107	—	5	2	no	—
744	#107	—	5	1	no	—
745	#107	—	5	2	no	—
746	#106	—	5	2	no	—
747	#106	—	5	2	no	—
748	#106	—	5	2	no	—
749	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
750	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
751	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
752	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
753	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
754	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
755	#103	—	5	2	no	—
756	#103	—	5	2	no	—
757	#103	—	5	2	no	—
758	#103	—	5	2	no	—
759	#103	—	5	2	no	—
760	#103	—	5	2	no	—
761	#103	—	5	2	no	—
762	#103	—	5	2	no	—
763	#103	—	5	2	no	—
764	#103	—	5	2	no	—
765	#103	—	5	2	no	—
766	#103	—	5	2	no	—
767	#102	—	5	2	no	—
768	#102	—	5	2	no	—
769	#102	—	5	2	no	—
770	#102	—	5	2	no	—
771	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
772	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
773	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
774	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
775	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
776	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
777	#97	C₂²×D₅	1	1	yes	characteristic
778	#97	C₂²×D₅	1	1	yes	characteristic
779	#97	C₂²×D₅	1	1	yes	characteristic
780	#97	C₂²×D₅	1	1	yes	characteristic
781	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
782	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
783	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
784	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
785	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
786	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
787	C₂²×C₅	—	2	1	no	—
788	C₂²×C₅	—	2	1	no	—
789	C₂²×C₅	—	2	1	no	—
790	C₂²×C₅	—	2	1	no	—
791	C₂²×C₅	—	2	1	no	—
792	C₂²×C₅	—	2	1	no	—
793	C₂²×C₅	—	2	1	no	—
794	C₂²×C₅	—	2	1	no	—
795	C₂²×C₅	#578	1	2	yes	—
796	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
797	C₂×D₅	—	4	2	no	—
798	C₂×D₅	—	4	2	no	—
799	C₂×D₅	—	4	2	no	—
800	C₄×C₅	—	2	1	no	—
801	C₄×C₅	—	2	1	no	—
802	C₄×C₅	—	2	1	no	—
803	C₄×C₅	—	2	1	no	—
804	C₄×C₅	—	2	1	no	—
805	C₄×C₅	—	2	1	no	—
806	C₄×C₅	—	2	1	no	—
807	C₄×C₅	—	2	1	no	—
808	C₄×C₅	—	2	1	no	—
809	C₄×C₅	—	2	1	no	—
810	C₄×C₅	—	2	1	no	—
811	C₄×C₅	C₂²×#41	1	1	yes	characteristic
812	C₄×C₅	#585	1	1	yes	characteristic
813	Dic₅	—	2	4	no	—
814	Dic₅	—	4	2	no	—
815	Dic₅	—	4	2	no	—
816	Dic₅	—	4	2	no	—
817	Dic₅	—	4	2	no	—
818	Dic₅	—	4	2	no	—
819	Dic₅	—	4	2	no	—
820	#41	—	10	4	no	—
821	#41	—	20	2	no	—
822	C₂×Q₈	—	5	2	no	—
823	C₂×Q₈	—	5	2	no	—
824	C₂×Q₈	—	5	2	no	—
825	C₂×Q₈	—	10	4	no	—
826	C₂×Q₈	—	10	4	no	—
827	C₂×Q₈	—	10	2	no	—
828	C₂×Q₈	—	10	2	no	—
829	C₂×Q₈	—	10	2	no	—
830	C₂×Q₈	—	20	2	no	—
831	C₂×Q₈	—	20	2	no	—
832	C₂×Q₈	C₂×D₂₀	1	1	yes	characteristic
833	C₂×D₄	—	5	2	no	—
834	C₂×D₄	—	10	2	no	—
835	C₂×D₄	—	10	2	no	—
836	C₂×D₄	—	10	2	no	—
837	C₂×D₄	C₂×D₂₀	1	1	yes	characteristic
838	C₂×D₄	C₂×D₂₀	1	1	yes	characteristic
839	C₂×D₄	C₂×D₂₀	1	1	yes	characteristic
840	C₂²×C₄	—	10	2	no	—
841	C₂²×C₄	—	10	2	no	—
842	C₂²×C₄	—	10	2	no	—
843	C₂²×C₄	—	10	2	no	—
844	C₂²×C₄	—	10	2	no	—
845	C₂²×C₄	—	10	2	no	—
846	C₂²×C₄	—	10	2	no	—
847	C₂²×C₄	C₂×D₂₀	1	1	yes	characteristic
848	C₂²×C₄	C₂×D₂₀	1	1	yes	characteristic
849	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
850	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
851	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
852	Q₁₆	—	5	4	no	—
853	Q₁₆	—	10	4	no	—
854	Q₁₆	—	10	4	no	—
855	Q₁₆	—	10	2	no	—
856	Q₁₆	—	10	2	no	—
857	Q₁₆	—	20	2	no	—
858	SD₁₆	—	10	4	no	—
859	SD₁₆	—	20	2	no	—
860	SD₁₆	—	20	2	no	—
861	D₈	—	10	2	no	—
862	M₁₆	—	4	1	no	—
863	M₁₆	—	4	1	no	—
864	C₂×C₈	—	2	2	no	—
865	C₂×C₈	—	2	2	no	—
866	C₂×C₈	—	2	2	no	—
867	C₂×C₈	—	4	1	no	—
868	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
869	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
870	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
871	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
872	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
873	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
874	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
875	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
876	C₄⋊C₄	—	5	2	no	—
877	C₄⋊C₄	—	5	2	no	—
878	C₄⋊C₄	—	5	2	no	—
879	C₄⋊C₄	—	5	2	no	—
880	C₄⋊C₄	—	10	2	no	—
881	C₄⋊C₄	—	10	2	no	—
882	C₄⋊C₄	—	10	2	no	—
883	C₄⋊C₄	—	10	2	no	—
884	C₄⋊C₄	—	10	2	no	—
885	C₄⋊C₄	—	10	2	no	—
886	C₄⋊C₄	—	10	2	no	—
887	C₄⋊C₄	—	10	2	no	—
888	C₄⋊C₄	—	10	2	no	—
889	C₄⋊C₄	—	10	2	no	—
890	C₄⋊C₄	—	10	2	no	—
891	C₄⋊C₄	—	10	2	no	—
892	C₄⋊C₄	—	10	2	no	—
893	C₄⋊C₄	—	10	2	no	—
894	C₄⋊C₄	—	10	2	no	—
895	C₄⋊C₄	—	10	2	no	—
896	C₄⋊C₄	—	10	2	no	—
897	C₄⋊C₄	—	10	2	no	—
898	C₄⋊C₄	—	10	2	no	—
899	C₄⋊C₄	—	10	2	no	—
900	C₄⋊C₄	—	10	2	no	—
901	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
902	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
903	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
904	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
905	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
906	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
907	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
908	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
909	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
910	C₄⋊C₄	C₂×D₂₀	1	1	yes	characteristic
911	C₂²⋊C₄	—	10	2	no	—
912	C₂²⋊C₄	—	10	2	no	—
913	C₂²⋊C₄	—	10	2	no	—
914	C₂²⋊C₄	—	10	2	no	—
915	C₂²⋊C₄	—	10	2	no	—
916	C₂²⋊C₄	—	10	2	no	—
917	C₂²⋊C₄	—	10	2	no	—
918	C₂²⋊C₄	—	10	2	no	—
919	C₂²⋊C₄	—	10	2	no	—
920	C₂²⋊C₄	—	10	2	no	—
921	C₂²⋊C₄	—	10	2	no	—
922	C₂²⋊C₄	—	10	2	no	—
923	C₂²⋊C₄	—	10	2	no	—
924	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
925	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
926	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
927	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
928	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
929	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
930	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
931	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
932	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
933	C₂²⋊C₄	C₂×D₂₀	1	1	yes	characteristic
934	C₄²	—	10	2	no	—
935	C₄²	—	10	2	no	—
936	C₄²	—	10	2	no	—
937	C₄²	—	10	2	no	—
938	C₄²	—	10	2	no	—
939	C₄²	—	10	2	no	—
940	C₄²	—	10	2	no	—
941	C₄²	—	10	2	no	—
942	C₄²	—	10	2	no	—
943	C₄²	C₂×D₂₀	1	1	yes	characteristic
944	C₄²	C₂×D₂₀	1	1	yes	characteristic
945	C₄²	C₂³×D₅	1	1	yes	characteristic
946	C₄²	C₂³×D₅	1	1	yes	characteristic
947	C₄²	C₂³×D₅	1	1	yes	characteristic
948	C₄²	C₂³×D₅	1	1	yes	characteristic
949	C₂×C₅	—	2	2	no	—
950	C₂×C₅	—	4	1	no	—
951	C₂×C₅	—	4	1	no	—
952	C₂×C₅	D₄×#41	1	1	yes	characteristic
953	C₂×C₅	C₂×#578	1	1	yes	characteristic
954	C₂×C₅	#3584	1	1	yes	characteristic
955	D₅	—	8	2	no	—
956	C₂³	—	10	2	no	—
957	C₂³	C₂²×D₂₀	1	1	yes	characteristic
958	C₂³	C₂²×D₂₀	1	1	yes	characteristic
959	C₂³	C₂²×D₂₀	1	1	yes	characteristic
960	Q₈	—	4	1	no	—
961	Q₈	—	5	4	no	—
962	Q₈	—	10	2	no	—
963	Q₈	—	10	2	no	—
964	Q₈	—	10	2	no	—
965	Q₈	—	10	2	no	—
966	Q₈	—	10	2	no	—
967	Q₈	—	20	4	no	—
968	Q₈	—	20	4	no	—
969	Q₈	—	40	2	no	—
970	D₄	—	2	2	no	—
971	D₄	—	2	2	no	—
972	D₄	—	4	1	no	—
973	D₄	—	10	2	no	—
974	D₄	—	10	2	no	—
975	D₄	—	20	4	no	—
976	D₄	—	20	4	no	—
977	D₄	—	40	2	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	4	1	no	—
986	C₂×C₄	—	10	2	no	—
987	C₂×C₄	—	10	2	no	—
988	C₂×C₄	—	10	2	no	—
989	C₂×C₄	—	10	2	no	—
990	C₂×C₄	—	10	2	no	—
991	C₂×C₄	—	10	2	no	—
992	C₂×C₄	—	10	2	no	—
993	C₂×C₄	—	20	4	no	—
994	C₂×C₄	—	20	4	no	—
995	C₂×C₄	—	20	4	no	—
996	C₂×C₄	—	40	2	no	—
997	C₂×C₄	—	40	2	no	—
998	C₂×C₄	—	40	2	no	—
999	C₂×C₄	—	40	2	no	—
1000	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1001	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1002	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1003	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1004	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1005	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1006	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1007	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1008	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1009	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1010	C₂×C₄	C₂²×D₂₀	1	1	yes	characteristic
1011	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1012	C₈	—	2	1	no	—
1013	C₈	—	2	1	no	—
1014	C₈	—	2	1	no	—
1015	C₈	—	2	1	no	—
1016	C₈	—	2	1	no	—
1017	C₈	—	2	1	no	—
1018	C₈	—	2	1	no	—
1019	C₈	D₅×#41	1	2	yes	—
1020	C₅	#61473	1	1	yes	characteristic, complemented, Sylow
1021	C₂²	—	2	1	no	—
1022	C₂²	—	2	1	no	—
1023	C₂²	—	2	1	no	—
1024	C₂²	—	2	1	no	—
1025	C₂²	—	2	1	no	—
1026	C₂²	—	2	1	no	—
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	20	2	no	—
1030	C₂²	—	20	2	no	—
1031	C₂²	—	20	2	no	—
1032	C₂²	#66087	1	2	yes	—
1033	C₂²	C₂³×D₂₀	1	1	yes	characteristic
1034	C₄	—	2	1	no	—
1035	C₄	—	2	1	no	—
1036	C₄	—	2	1	no	—
1037	C₄	—	2	1	no	—
1038	C₄	—	2	1	no	—
1039	C₄	—	2	1	no	—
1040	C₄	—	2	1	no	—
1041	C₄	—	2	1	no	—
1042	C₄	—	2	1	no	—
1043	C₄	—	2	1	no	—
1044	C₄	—	2	1	no	—
1045	C₄	—	10	4	no	—
1046	C₄	—	20	2	no	—
1047	C₄	—	20	2	no	—
1048	C₄	—	20	2	no	—
1049	C₄	—	20	2	no	—
1050	C₄	—	20	2	no	—
1051	C₄	—	20	2	no	—
1052	C₄	C₂×D₅×#41	1	1	yes	characteristic
1053	C₄	#66283	1	1	yes	characteristic
1054	C₂	—	2	2	no	—
1055	C₂	—	4	1	no	—
1056	C₂	—	4	1	no	—
1057	C₂	—	40	2	no	—
1058	C₂	#41×D₂₀	1	1	yes	characteristic
1059	C₂	#10619064	1	1	yes	characteristic
1060	C₂	C₂×#66087	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×D₂₀
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#2966	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#2966	D₅
hypocenter	C₅	#61473
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #529 ◁ #2966

Complements

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

N	H ≅ G/N	type
1. #10618025	C₂	semidirect
2. C₅×#2966	C₂	semidirect
3. #10611716	C₂	semidirect
4. #10611668	C₂	semidirect
5. #10611643	C₂	semidirect
6. #10611293	C₂	semidirect
7. #10611246	C₂	semidirect
8. #10611244	C₂	semidirect
9. D₄×Dic₂₀	C₂	semidirect
10. #10611175	C₂	semidirect
11. #10611175	C₂	semidirect
12. #10611147	C₂	semidirect
13. #10611146	C₂	semidirect
14. #10611144	C₂	semidirect
15. #10611125	C₂	semidirect
16. #10611116	C₂	semidirect
17. #10611088	C₂	semidirect
18. #10610308	C₂	semidirect
19. #10610304	C₂	semidirect
20. #10610299	C₂	semidirect
21. #10610293	C₂	semidirect
22. C₂×C₄×Dic₂₀	C₂	semidirect
23. #10610200	C₂	semidirect
317. #2966	D₅	semidirect
1020. C₅	#61473	semidirect

Maximal subgroups

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

subgroup	index
#10618025	2
C₅×#2966	2
#10611716	2
#10611668	2
#10611643	2
#10611293	2
#10611246	2
#10611244	2
D₄×Dic₂₀	2
#10611175	2
#10611147	2
#10611146	2
#10611144	2
#10611125	2
#10611116	2
#10611088	2
#10610308	2
#10610304	2
#10610299	2
#10610293	2
C₂×C₄×Dic₂₀	2
#10610200	2
#61473	5