Subgroups — D₅×#2969 #12963776

Order 1280.

2014 conjugacy classes of subgroups.

The subgroup lattice has 1166 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#529	C₂	1	1	yes	maximal, characteristic
2	C₅×#2969	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614860	C₂	1	1	yes	maximal, characteristic, complemented
4	D₅×#446	C₂	1	1	yes	maximal, characteristic, complemented
5	#10611673	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈×Q₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
7	#10611635	C₂	1	1	yes	maximal, characteristic, complemented
8	D₅×#436	C₂	1	1	yes	maximal, characteristic, complemented
9	D₅×#436	C₂	1	2	yes	maximal, complemented
10	#10611252	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611251	C₂	1	2	yes	maximal, complemented
12	D₅×#435	C₂	1	2	yes	maximal, complemented
13	#10611190	C₂	1	2	yes	maximal, complemented
14	C₈×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611134	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#433	C₂	1	2	yes	maximal, complemented
17	#10611100	C₂	1	2	yes	maximal, complemented
18	D₅×#431	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611011	C₂	1	1	yes	maximal, characteristic, complemented
20	#10610290	C₂	1	2	yes	maximal, complemented
21	D₅×#405	C₂	1	2	yes	maximal, complemented
22	C₄×D₅×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
23	#10610242	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#529	C₂²	1	1	yes	characteristic
25	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
26	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
27	C₂×D₅×M₁₆	C₂²	1	2	yes	—
28	C₂²×C₈×D₅	C₂²	1	2	yes	—
29	#66040	C₄	1	2	yes	—
30	D₅×#126	C₄	1	2	yes	—
31	#66025	C₄	1	1	yes	characteristic
32	D₅×#125	C₄	1	1	yes	characteristic
33	#66014	C₄	1	1	yes	characteristic
34	D₅×#124	C₄	1	1	yes	characteristic
35	D₅×#123	C₄	1	2	yes	—
36	#65983	C₄	1	2	yes	—
37	D₅×C₂²⋊Q₈	C₄	1	1	yes	characteristic
38	#65958	C₄	1	1	yes	characteristic
39	D₅×#121	C₄	1	1	yes	characteristic
40	#65934	C₄	1	1	yes	characteristic
41	#65914	C₂²	1	1	yes	characteristic
42	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
43	#65891	C₂²	1	1	yes	characteristic
44	C₄×D₄×D₅	C₂²	1	2	yes	—
45	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
46	#65872	C₂²	1	2	yes	—
47	#65862	C₂²	1	2	yes	—
48	D₅×#117	C₂²	1	2	yes	—
49	#65813	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
51	C₅×#446	C₂²	1	1	yes	characteristic, complemented
52	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₅×#436	C₂²	1	2	yes	complemented
54	C₅×#436	C₂²	1	1	yes	characteristic, complemented
55	C₅×#435	C₂²	1	2	yes	complemented
56	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₅×#433	C₂²	1	2	yes	complemented
58	C₅×#431	C₂²	1	1	yes	characteristic, complemented
59	C₅×#405	C₂²	1	2	yes	complemented
60	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
61	#65417	C₂²	1	2	yes	complemented
62	#65417	C₂²	1	2	yes	complemented
63	#65417	C₂²	1	2	yes	complemented
64	#65416	C₂²	1	2	yes	complemented
65	#65411	C₂²	1	2	yes	complemented
66	M₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
67	M₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
68	#65400	C₂²	1	2	yes	complemented
69	C₈×C₂²⋊D₅	C₂²	1	2	yes	complemented
70	#65390	C₂²	1	2	yes	complemented
71	#65313	C₂²	1	1	yes	characteristic, complemented
72	Q₈×#168	C₂²	1	1	yes	characteristic, complemented
73	#65301	C₂²	1	1	yes	characteristic, complemented
74	#65301	C₂²	1	2	yes	complemented
75	#65300	C₂²	1	2	yes	complemented
76	D₄×#168	C₂²	1	1	yes	characteristic, complemented
77	#65289	C₂²	1	2	yes	complemented
78	#65286	C₂²	1	2	yes	complemented
79	#65214	C₂²	1	1	yes	characteristic, complemented
80	C₄×#681	C₂²	1	1	yes	characteristic, complemented
81	#65129	C₂²	1	2	yes	complemented
82	#65129	C₂²	1	2	yes	complemented
83	#65127	C₂²	1	1	yes	characteristic, complemented
84	#65127	C₂²	1	2	yes	complemented
85	#65125	C₂²	1	2	yes	complemented
86	#65123	C₂²	1	1	yes	characteristic, complemented
87	#65122	C₂²	1	1	yes	characteristic, complemented
88	#65122	C₂²	1	1	yes	characteristic, complemented
89	D₅×C₄⋊C₈	C₂²	1	2	yes	—
90	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
91	D₅×C₄⋊C₈	C₂²	1	2	yes	—
92	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
93	#65120	C₂²	1	1	yes	characteristic, complemented
94	#65119	C₂²	1	1	yes	characteristic, complemented
95	#65119	C₂²	1	2	yes	complemented
96	#65117	C₂²	1	2	yes	complemented
97	#65019	C₂²	1	2	yes	complemented
98	#65018	C₂²	1	2	yes	complemented
99	#65018	C₂²	1	2	yes	complemented
100	#65018	C₂²	1	2	yes	complemented
101	#65017	C₂²	1	2	yes	complemented
102	#65014	C₂²	1	2	yes	complemented
103	D₅×C₂²⋊C₈	C₂²	1	2	yes	—
104	D₅×C₂²⋊C₈	C₂²	1	2	yes	—
105	D₅×C₂²⋊C₈	C₂²	1	2	yes	—
106	#65009	C₂²	1	2	yes	complemented
107	#65009	C₂²	1	2	yes	complemented
108	#65007	C₂²	1	2	yes	complemented
109	#64998	C₂²	1	2	yes	complemented
110	#64997	C₂²	1	2	yes	complemented
111	#64997	C₂²	1	2	yes	complemented
112	#64996	C₂²	1	1	yes	characteristic, complemented
113	#64996	C₂²	1	1	yes	characteristic, complemented
114	#64995	C₂²	1	2	yes	complemented
115	D₅×#97	C₂²	1	2	yes	—
116	D₅×#97	C₂²	1	1	yes	characteristic
117	D₅×#97	C₂²	1	1	yes	characteristic
118	#64990	C₂²	1	2	yes	complemented
119	#64979	C₂²	1	2	yes	complemented
120	#64978	C₂²	1	2	yes	complemented
121	#64978	C₂²	1	2	yes	complemented
122	#64977	C₂²	1	1	yes	characteristic, complemented
123	#64977	C₂²	1	2	yes	complemented
124	C₄×#676	C₂²	1	1	yes	characteristic, complemented
125	C₄×#676	C₂²	1	1	yes	characteristic, complemented
126	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
127	#64974	C₂²	1	2	yes	complemented
128	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
129	C₄×C₈×D₅	C₂²	1	2	yes	—
130	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
131	C₄×C₈×D₅	C₂²	1	2	yes	—
132	#64968	C₂²	1	1	yes	characteristic, complemented
133	C₈×Dic₁₀	C₂²	1	2	yes	complemented
134	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
135	C₂×#2969	—	5	1	no	maximal, Sylow
136	C₂×Q₈×D₅	C₂×C₄	1	1	yes	characteristic
137	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
138	C₂×D₄×D₅	C₂×C₄	1	2	yes	—
139	C₂²×C₄×D₅	C₂×C₄	1	1	yes	characteristic
140	C₂²×C₄×D₅	C₂×C₄	1	1	yes	characteristic
141	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
142	C₂²×C₄×D₅	C₂³	1	2	yes	—
143	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₅×M₁₆	C₂³	1	2	yes	—
146	C₂²×C₅×C₈	C₂³	1	2	yes	—
147	C₅×#126	C₂×C₄	1	2	yes	—
148	C₅×#125	C₂×C₄	1	1	yes	characteristic
149	C₅×#124	C₂×C₄	1	1	yes	characteristic
150	C₅×#123	C₂×C₄	1	2	yes	—
151	C₅×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
152	C₅×#121	C₂×C₄	1	1	yes	characteristic
153	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
154	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
155	C₄×C₅×D₄	C₂³	1	2	yes	—
156	C₅×#117	C₂³	1	2	yes	—
157	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
158	#4093	C₂×C₄	1	1	yes	characteristic
159	#4092	C₂×C₄	1	1	yes	characteristic
160	Q₈×Dic₅	C₂×C₄	1	1	yes	characteristic
161	#4085	C₂×C₄	1	2	yes	—
162	#4084	C₂×C₄	1	1	yes	characteristic
163	#4082	C₂×C₄	1	1	yes	characteristic
164	#4081	C₂×C₄	1	2	yes	—
165	D₄×Dic₅	C₂×C₄	1	2	yes	—
166	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
167	#4076	C₂×C₄	1	1	yes	characteristic
168	#4075	C₂×C₄	1	2	yes	—
169	C₄×C₂²⋊D₅	C₂³	1	2	yes	—
170	C₄×C₂²⋊D₅	C₂³	1	2	yes	—
171	C₄×C₂²⋊D₅	C₂³	1	2	yes	—
172	#4072	C₂³	1	2	yes	—
173	#4070	C₂×C₄	1	1	yes	characteristic
174	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
175	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
176	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
177	C₂×#681	C₂³	1	2	yes	—
178	C₂×#681	C₂³	1	1	yes	characteristic
179	C₂×#681	C₂³	1	1	yes	characteristic
180	C₂²×#168	C₂³	1	2	yes	—
181	D₅×M₁₆	—	2	4	no	—
182	D₅×M₁₆	—	2	4	no	—
183	D₅×M₁₆	—	2	8	no	—
184	C₂×#676	C₂³	1	1	yes	characteristic
185	C₂×#676	C₂³	1	1	yes	characteristic
186	C₂×#676	C₂³	1	2	yes	—
187	C₂×#676	C₂³	1	1	yes	characteristic
188	C₂×#676	C₂³	1	1	yes	characteristic
189	C₂×#676	C₂³	1	2	yes	—
190	C₂×C₈×D₅	—	2	8	no	—
191	C₂×C₈×D₅	C₂³	1	2	yes	—
192	C₂×C₈×D₅	C₂³	1	2	yes	—
193	C₂×C₈×D₅	C₂³	1	2	yes	—
194	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
195	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
196	C₂×C₈×D₅	C₂³	1	2	yes	—
197	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
198	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
199	#4044	C₂×C₄	1	2	yes	—
200	#4044	C₂×C₄	1	2	yes	—
201	#4044	C₂×C₄	1	2	yes	—
202	#4043	C₂×C₄	1	1	yes	characteristic
203	#4042	C₂×C₄	1	2	yes	—
204	#4041	C₂×C₄	1	1	yes	characteristic
205	#4040	C₂×C₄	1	2	yes	—
206	#4040	C₂×C₄	1	2	yes	—
207	#4039	C₂×C₄	1	1	yes	characteristic
208	#4039	C₂×C₄	1	2	yes	—
209	#4038	C₂×C₄	1	2	yes	—
210	#4038	C₂×C₄	1	2	yes	—
211	D₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
212	D₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
213	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
214	D₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
215	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
216	D₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
217	#4036	C₂×C₄	1	1	yes	characteristic
218	#4036	C₂×C₄	1	1	yes	characteristic
219	#4035	C₂×C₄	1	2	yes	—
220	#4035	C₂×C₄	1	2	yes	—
221	#4033	C₂×C₄	1	1	yes	characteristic
222	#4033	C₂×C₄	1	2	yes	—
223	#4032	C₂×C₄	1	2	yes	—
224	#4031	C₂×C₄	1	2	yes	—
225	#4031	C₂×C₄	1	2	yes	—
226	#4030	C₂×C₄	1	2	yes	—
227	#4029	C₂×C₄	1	2	yes	—
228	#4029	C₂×C₄	1	2	yes	—
229	#4027	C₂×C₄	1	2	yes	—
230	#4027	C₂×C₄	1	2	yes	—
231	#4027	C₂×C₄	1	2	yes	—
232	D₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
233	D₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
234	D₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
235	D₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
236	D₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
237	#4025	C₂×C₄	1	2	yes	—
238	#4025	C₂×C₄	1	2	yes	—
239	#4025	C₂×C₄	1	2	yes	—
240	#4024	C₂×C₄	1	2	yes	—
241	#4023	C₂×C₄	1	2	yes	—
242	#4023	C₂×C₄	1	2	yes	—
243	#4022	C₂×C₄	1	2	yes	—
244	#4021	C₂×C₄	1	1	yes	characteristic
245	C₄×D₂₀	C₂³	1	1	yes	characteristic
246	C₄×D₂₀	C₂³	1	2	yes	—
247	#4018	C₂³	1	2	yes	—
248	#4018	C₂³	1	2	yes	—
249	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
250	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
251	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
252	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
253	C₄²×D₅	C₂³	1	1	yes	characteristic
254	C₄²×D₅	C₂³	1	1	yes	characteristic
255	C₄²×D₅	C₂³	1	1	yes	characteristic
256	C₄²×D₅	C₂³	1	1	yes	characteristic
257	C₄²×D₅	C₂³	1	2	yes	—
258	#4016	C₂×C₄	1	1	yes	characteristic
259	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
260	C₄×Dic₁₀	C₂³	1	2	yes	—
261	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
263	C₅×C₄⋊C₈	C₂³	1	2	yes	—
264	C₅×C₄⋊C₈	C₂³	1	2	yes	—
265	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
266	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
267	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
268	C₅×#97	C₂³	1	1	yes	characteristic
269	C₅×#97	C₂³	1	1	yes	characteristic
270	C₅×#97	C₂³	1	2	yes	—
271	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
272	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
273	C₄×C₅×C₈	C₂³	1	2	yes	—
274	C₄×C₅×C₈	C₂³	1	2	yes	—
275	C₂²⋊#168	C₂³	1	2	yes	—
276	C₂²⋊#168	C₂³	1	2	yes	—
277	C₂²⋊#168	C₂³	1	2	yes	—
278	#3952	C₂³	1	2	yes	—
279	#3952	C₂³	1	2	yes	—
280	#3952	C₂³	1	2	yes	—
281	#3952	C₂³	1	2	yes	—
282	#3952	C₂³	1	2	yes	—
283	#3952	C₂³	1	2	yes	—
284	#3947	C₂³	1	2	yes	—
285	#3947	C₂³	1	1	yes	characteristic
286	#3947	C₂³	1	1	yes	characteristic
287	#3947	C₂³	1	1	yes	characteristic
288	#3947	C₂³	1	2	yes	—
289	#3947	C₂³	1	1	yes	characteristic
290	#3946	C₂³	1	2	yes	—
291	#3946	C₂³	1	2	yes	—
292	#3946	C₂³	1	2	yes	—
293	#3946	C₂³	1	2	yes	—
294	#3946	C₂³	1	2	yes	—
295	#3946	C₂³	1	2	yes	—
296	C₈×Dic₅	C₂³	1	1	yes	characteristic
297	C₈×Dic₅	C₂³	1	2	yes	—
298	C₈×Dic₅	C₂³	1	1	yes	characteristic
299	C₈×Dic₅	C₂³	1	2	yes	—
300	C₈×Dic₅	C₂³	1	2	yes	—
301	C₈×Dic₅	C₂³	1	1	yes	characteristic
302	C₈×Dic₅	C₂³	1	1	yes	characteristic
303	C₈×Dic₅	C₂³	1	2	yes	—
304	C₄⋊#168	C₂³	1	2	yes	—
305	C₄⋊#168	C₂³	1	2	yes	—
306	C₄⋊#168	C₂³	1	1	yes	characteristic
307	C₄⋊#168	C₂³	1	1	yes	characteristic
308	#3935	C₂³	1	1	yes	characteristic
309	#3935	C₂³	1	2	yes	—
310	#3935	C₂³	1	1	yes	characteristic
311	C₄×#168	C₂³	1	2	yes	—
312	C₄×#168	C₂³	1	2	yes	—
313	C₄×#168	C₂³	1	1	yes	characteristic
314	C₄×#168	C₂³	1	1	yes	characteristic
315	C₂×#529	—	5	1	no	—
316	#2969	—	5	1	no	—
317	#2969	—	5	1	no	—
318	#2969	—	5	2	no	—
319	#2969	—	5	1	no	—
320	#2969	—	5	2	no	—
321	#2969	—	5	1	no	—
322	#2969	—	5	2	no	—
323	#2969	—	5	1	no	—
324	#2969	—	5	2	no	—
325	#2969	—	5	1	no	—
326	#2969	—	5	1	no	—
327	#2969	D₅	1	1	yes	characteristic, direct product factor
328	C₂×#446	—	5	1	no	—
329	C₂×C₈×Q₈	—	5	1	no	—
330	C₂×#436	—	5	1	no	—
331	C₂×#436	—	5	2	no	—
332	C₂×#435	—	5	2	no	—
333	C₂×C₈×D₄	—	5	1	no	—
334	C₂×#433	—	5	2	no	—
335	C₂×#431	—	5	1	no	—
336	C₂×#405	—	5	2	no	—
337	C₂×C₄×M₁₆	—	5	1	no	—
338	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
339	C₂³×D₅	C₂²×C₄	1	2	yes	—
340	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
341	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
342	C₂×C₅×D₄	C₂²×C₄	1	2	yes	—
343	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
344	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
345	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
347	C₂×C₂²⋊D₅	C₂²×C₄	1	2	yes	—
348	C₂×C₂²⋊D₅	C₂²×C₄	1	2	yes	—
349	C₂×C₂²⋊D₅	C₂²×C₄	1	2	yes	—
350	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
351	C₂²×Dic₅	C₂²×C₄	1	2	yes	—
352	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
353	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
354	Q₈×D₅	—	2	4	no	—
355	D₄×D₅	—	2	4	no	—
356	D₄×D₅	—	4	4	no	—
357	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
358	C₂×D₂₀	C₂²×C₄	1	2	yes	—
359	C₂×C₄×D₅	—	2	4	no	—
360	C₂×C₄×D₅	—	2	4	no	—
361	C₂×C₄×D₅	—	2	2	no	—
362	C₂×C₄×D₅	—	2	2	no	—
363	C₂×C₄×D₅	—	2	4	no	—
364	C₂×C₄×D₅	—	4	2	no	—
365	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
366	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
367	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
368	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
369	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
370	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
371	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
372	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
373	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
374	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
375	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
376	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
377	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
378	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
379	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
380	C₂×C₄×D₅	C₂⁴	1	2	yes	—
381	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
382	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
383	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
384	C₅×M₁₆	—	2	2	no	—
385	C₅×M₁₆	—	2	2	no	—
386	C₅×M₁₆	—	2	4	no	—
387	C₂×C₅×C₈	—	2	4	no	—
388	C₂×C₅×C₈	C₂⁴	1	2	yes	—
389	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
390	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
391	C₂×C₅×C₈	C₂⁴	1	2	yes	—
392	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
393	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
394	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
395	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
396	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
397	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
398	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
399	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
400	C₅×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
401	C₅×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
402	C₅×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
403	C₅×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
404	C₅×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
405	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
406	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
407	C₄²×C₅	C₂⁴	1	1	yes	characteristic
408	C₄²×C₅	C₂⁴	1	1	yes	characteristic
409	C₄²×C₅	C₂⁴	1	2	yes	—
410	C₂²⋊Dic₅	C₂²×C₄	1	2	yes	—
411	C₂²⋊Dic₅	C₂²×C₄	1	2	yes	—
412	C₂²⋊Dic₅	C₂²×C₄	1	2	yes	—
413	C₂²⋊Dic₅	C₂²×C₄	1	2	yes	—
414	C₂²⋊Dic₅	C₂²×C₄	1	2	yes	—
415	#685	C₂²×C₄	1	2	yes	—
416	#685	C₂²×C₄	1	2	yes	—
417	#685	C₂²×C₄	1	2	yes	—
418	#685	C₂²×C₄	1	2	yes	—
419	#685	C₂²×C₄	1	2	yes	—
420	#685	C₂²×C₄	1	2	yes	—
421	#685	C₂²×C₄	1	2	yes	—
422	#685	C₂²×C₄	1	2	yes	—
423	#685	C₂²×C₄	1	2	yes	—
424	#685	C₂²×C₄	1	2	yes	—
425	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
426	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
427	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
428	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
429	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
430	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
431	#683	C₂²×C₄	1	2	yes	—
432	#683	C₂²×C₄	1	2	yes	—
433	#683	C₂²×C₄	1	2	yes	—
434	#683	C₂²×C₄	1	2	yes	—
435	#683	C₂²×C₄	1	2	yes	—
436	#683	C₂²×C₄	1	2	yes	—
437	#683	C₂²×C₄	1	2	yes	—
438	#683	C₂²×C₄	1	2	yes	—
439	#683	C₂²×C₄	1	2	yes	—
440	#683	C₂²×C₄	1	2	yes	—
441	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
442	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
443	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
444	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
445	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
446	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
447	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
448	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
449	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
450	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
451	C₄×Dic₅	C₂²×C₄	1	2	yes	—
452	C₄×Dic₅	C₂²×C₄	1	2	yes	—
453	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
454	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
455	C₄×Dic₅	C₂⁴	1	2	yes	—
456	#681	—	2	2	no	—
457	#681	—	2	4	no	—
458	#681	—	2	2	no	—
459	C₂×#168	—	2	4	no	—
460	C₂×#168	C₂⁴	1	2	yes	—
461	C₂×#168	C₂⁴	1	2	yes	—
462	C₂×#168	C₂⁴	1	1	yes	characteristic
463	C₂×#168	C₂⁴	1	1	yes	characteristic
464	C₂×#168	C₂⁴	1	1	yes	characteristic
465	C₂×#168	C₂⁴	1	1	yes	characteristic
466	#676	—	2	2	no	—
467	#676	—	2	2	no	—
468	#676	—	2	4	no	—
469	#676	—	2	2	no	—
470	#676	—	2	2	no	—
471	#676	—	2	4	no	—
472	C₈×D₅	—	2	4	no	—
473	C₈×D₅	—	2	2	no	—
474	C₈×D₅	—	2	2	no	—
475	C₈×D₅	—	2	4	no	—
476	C₈×D₅	—	2	4	no	—
477	C₈×D₅	—	2	4	no	—
478	C₈×D₅	#41	1	4	yes	—
479	C₈×D₅	#41	1	4	yes	—
480	C₂²×M₁₆	—	5	1	no	—
481	C₂²×M₁₆	—	5	1	no	—
482	C₂²×M₁₆	—	5	2	no	—
483	C₂³×C₈	—	5	2	no	—
484	#529	—	5	2	no	—
485	#529	—	5	1	no	—
486	#529	—	5	1	no	—
487	#529	—	5	2	no	—
488	#529	—	5	1	no	—
489	#529	—	5	1	no	—
490	#529	—	5	1	no	—
491	#529	—	5	2	no	—
492	#529	—	5	1	no	—
493	#529	—	5	2	no	—
494	#529	—	5	1	no	—
495	#529	C₂×D₅	1	1	yes	characteristic
496	C₂×#126	—	5	2	no	—
497	C₂×#125	—	5	1	no	—
498	C₂×#124	—	5	1	no	—
499	C₂×#123	—	5	2	no	—
500	C₂×C₂²⋊Q₈	—	5	1	no	—
501	C₂×#121	—	5	1	no	—
502	C₂×C₄×Q₈	—	5	1	no	—
503	C₂×C₄×D₄	—	5	1	no	—
504	C₂×C₄×D₄	—	5	2	no	—
505	C₂×#117	—	5	2	no	—
506	C₂²×C₄²	—	5	1	no	—
507	#446	—	5	1	no	—
508	#446	—	5	2	no	—
509	#446	—	5	1	no	—
510	#446	—	5	2	no	—
511	#446	—	5	1	no	—
512	#446	C₂×D₅	1	1	yes	characteristic, complemented
513	C₈×Q₈	—	5	1	no	—
514	C₈×Q₈	—	5	2	no	—
515	C₈×Q₈	—	5	1	no	—
516	C₈×Q₈	—	5	2	no	—
517	C₈×Q₈	—	5	1	no	—
518	C₈×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
519	#436	—	5	2	no	—
520	#436	—	5	2	no	—
521	#436	—	5	2	no	—
522	#436	—	5	1	no	—
523	#436	—	5	2	no	—
524	#436	—	5	1	no	—
525	#436	—	5	2	no	—
526	#436	—	5	2	no	—
527	#436	—	5	2	no	—
528	#436	—	5	2	no	—
529	#436	—	5	1	no	—
530	#436	—	5	2	no	—
531	#436	C₂×D₅	1	1	yes	characteristic, complemented
532	#436	C₂×D₅	1	2	yes	complemented
533	#435	—	5	2	no	—
534	#435	—	5	2	no	—
535	#435	—	5	2	no	—
536	#435	—	5	2	no	—
537	#435	—	5	2	no	—
538	#435	—	5	2	no	—
539	#435	—	5	2	no	—
540	#435	C₂×D₅	1	2	yes	complemented
541	C₈×D₄	—	5	2	no	—
542	C₈×D₄	—	5	1	no	—
543	C₈×D₄	—	5	1	no	—
544	C₈×D₄	—	5	2	no	—
545	C₈×D₄	—	5	1	no	—
546	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
547	#433	—	5	2	no	—
548	#433	—	5	2	no	—
549	#433	—	5	2	no	—
550	#433	—	5	2	no	—
551	#433	—	5	2	no	—
552	#433	—	5	2	no	—
553	#433	—	5	2	no	—
554	#433	C₂×D₅	1	2	yes	complemented
555	#431	—	5	1	no	—
556	#431	—	5	1	no	—
557	#431	—	5	1	no	—
558	#431	—	5	2	no	—
559	#431	—	5	2	no	—
560	#431	C₂×D₅	1	1	yes	characteristic, complemented
561	C₂×C₄⋊C₈	—	5	1	no	—
562	C₂×C₄⋊C₈	—	5	1	no	—
563	C₂×C₄⋊C₈	—	5	2	no	—
564	C₂×C₄⋊C₈	—	5	2	no	—
565	C₂×C₂²⋊C₈	—	5	2	no	—
566	C₂×C₂²⋊C₈	—	5	2	no	—
567	C₂×C₂²⋊C₈	—	5	2	no	—
568	#405	—	5	2	no	—
569	#405	—	5	2	no	—
570	#405	—	5	2	no	—
571	#405	—	5	2	no	—
572	#405	—	5	2	no	—
573	#405	—	5	2	no	—
574	#405	—	5	2	no	—
575	#405	C₂×D₅	1	2	yes	complemented
576	C₄×M₁₆	—	5	1	no	—
577	C₄×M₁₆	—	5	1	no	—
578	C₄×M₁₆	—	5	1	no	—
579	C₄×M₁₆	—	5	1	no	—
580	C₄×M₁₆	—	5	1	no	—
581	C₄×M₁₆	—	5	1	no	—
582	C₄×M₁₆	—	5	1	no	—
583	C₄×M₁₆	C₂×D₅	1	1	yes	characteristic, complemented
584	C₂×#97	—	5	1	no	—
585	C₂×#97	—	5	1	no	—
586	C₂×#97	—	5	2	no	—
587	C₂×C₄×C₈	—	5	1	no	—
588	C₂×C₄×C₈	—	5	1	no	—
589	C₂×C₄×C₈	—	5	2	no	—
590	C₂×C₄×C₈	—	5	2	no	—
591	C₂³×C₅	C₂³×C₄	1	2	yes	—
592	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
593	C₂²×D₅	—	2	4	no	—
594	C₂²×D₅	—	2	2	no	—
595	C₂²×D₅	—	2	2	no	—
596	C₂²×D₅	—	2	4	no	—
597	C₂²×D₅	—	2	2	no	—
598	C₂²×D₅	—	2	4	no	—
599	C₂²×D₅	C₂³×C₄	1	2	yes	—
600	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
601	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
602	C₅×Q₈	—	2	2	no	—
603	C₅×D₄	—	2	2	no	—
604	C₅×D₄	—	4	2	no	—
605	C₂×C₄×C₅	—	2	2	no	—
606	C₂×C₄×C₅	—	2	2	no	—
607	C₂×C₄×C₅	—	2	1	no	—
608	C₂×C₄×C₅	—	2	1	no	—
609	C₂×C₄×C₅	—	2	2	no	—
610	C₂×C₄×C₅	—	4	1	no	—
611	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
612	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
613	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
614	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
615	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
616	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
617	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
618	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
619	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
620	C₂²⋊D₅	—	2	4	no	—
621	C₂²⋊D₅	—	4	2	no	—
622	C₂²⋊D₅	—	4	2	no	—
623	C₂×Dic₅	—	2	4	no	—
624	C₂×Dic₅	—	2	2	no	—
625	C₂×Dic₅	—	2	2	no	—
626	C₂×Dic₅	—	4	1	no	—
627	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
628	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
629	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
630	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
631	C₂×Dic₅	C₂³×C₄	1	2	yes	—
632	C₂×Dic₅	C₂³×C₄	1	2	yes	—
633	C₂×Dic₅	C₂³×C₄	1	2	yes	—
634	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
635	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
636	D₂₀	—	2	2	no	—
637	D₂₀	—	4	2	no	—
638	C₄×D₅	—	2	4	no	—
639	C₄×D₅	—	2	2	no	—
640	C₄×D₅	—	2	2	no	—
641	C₄×D₅	—	2	4	no	—
642	C₄×D₅	—	2	2	no	—
643	C₄×D₅	—	2	2	no	—
644	C₄×D₅	—	2	4	no	—
645	C₄×D₅	—	2	2	no	—
646	C₄×D₅	—	2	2	no	—
647	C₄×D₅	—	2	1	no	—
648	C₄×D₅	—	2	1	no	—
649	C₄×D₅	—	2	2	no	—
650	C₄×D₅	—	2	4	no	—
651	C₄×D₅	—	2	2	no	—
652	C₄×D₅	—	2	2	no	—
653	C₄×D₅	—	4	1	no	—
654	C₄×D₅	—	4	1	no	—
655	C₄×D₅	#131	1	4	yes	—
656	C₄×D₅	C₂×#41	1	2	yes	—
657	C₄×D₅	C₂×#41	1	2	yes	—
658	Dic₁₀	—	2	2	no	—
659	Dic₁₀	—	2	4	no	—
660	C₅×C₈	—	2	2	no	—
661	C₅×C₈	—	2	1	no	—
662	C₅×C₈	—	2	1	no	—
663	C₅×C₈	—	2	2	no	—
664	C₅×C₈	C₂×#41	1	2	yes	—
665	C₅×C₈	C₂×#41	1	2	yes	—
666	#168	—	2	2	no	—
667	#168	—	2	1	no	—
668	#168	—	2	1	no	—
669	#168	—	2	2	no	—
670	#168	C₂×#41	1	2	yes	—
671	#168	C₂×#41	1	2	yes	—
672	C₂²×Q₈	—	5	1	no	—
673	C₂²×D₄	—	5	1	no	—
674	C₂²×D₄	—	5	2	no	—
675	C₂³×C₄	—	5	1	no	—
676	C₂³×C₄	—	5	2	no	—
677	C₂³×C₄	—	5	1	no	—
678	C₂³×C₄	—	5	1	no	—
679	C₂×M₁₆	—	5	1	no	—
680	C₂×M₁₆	—	5	1	no	—
681	C₂×M₁₆	—	5	2	no	—
682	C₂×M₁₆	—	5	1	no	—
683	C₂×M₁₆	—	5	1	no	—
684	C₂×M₁₆	—	5	1	no	—
685	C₂×M₁₆	—	5	1	no	—
686	C₂×M₁₆	—	5	2	no	—
687	C₂×M₁₆	—	5	2	no	—
688	C₂×M₁₆	—	10	4	no	—
689	C₂×M₁₆	—	10	4	no	—
690	C₂×M₁₆	—	10	8	no	—
691	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
692	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
693	C₂×M₁₆	C₂²×D₅	1	2	yes	—
694	C₂²×C₈	—	5	1	no	—
695	C₂²×C₈	—	5	1	no	—
696	C₂²×C₈	—	5	2	no	—
697	C₂²×C₈	—	5	2	no	—
698	C₂²×C₈	—	5	2	no	—
699	C₂²×C₈	—	5	2	no	—
700	C₂²×C₈	—	5	1	no	—
701	C₂²×C₈	—	5	1	no	—
702	C₂²×C₈	—	5	2	no	—
703	C₂²×C₈	—	10	8	no	—
704	C₂²×C₈	C₂²×D₅	1	2	yes	—
705	#126	—	5	2	no	—
706	#126	—	5	2	no	—
707	#126	—	5	2	no	—
708	#126	—	5	2	no	—
709	#126	—	5	2	no	—
710	#126	—	5	2	no	—
711	#126	—	5	2	no	—
712	#126	C₄×D₅	1	2	yes	—
713	#125	—	5	2	no	—
714	#125	—	5	2	no	—
715	#125	—	5	1	no	—
716	#125	—	5	1	no	—
717	#125	—	5	1	no	—
718	#125	C₄×D₅	1	1	yes	characteristic
719	#124	—	5	1	no	—
720	#124	—	5	1	no	—
721	#124	—	5	2	no	—
722	#124	—	5	2	no	—
723	#124	—	5	1	no	—
724	#124	C₄×D₅	1	1	yes	characteristic
725	#123	—	5	2	no	—
726	#123	—	5	2	no	—
727	#123	—	5	2	no	—
728	#123	—	5	2	no	—
729	#123	—	5	2	no	—
730	#123	—	5	2	no	—
731	#123	—	5	2	no	—
732	#123	C₄×D₅	1	2	yes	—
733	C₂²⋊Q₈	—	5	1	no	—
734	C₂²⋊Q₈	—	5	1	no	—
735	C₂²⋊Q₈	—	5	2	no	—
736	C₂²⋊Q₈	—	5	1	no	—
737	C₂²⋊Q₈	—	5	2	no	—
738	C₂²⋊Q₈	C₄×D₅	1	1	yes	characteristic
739	#121	—	5	1	no	—
740	#121	—	5	2	no	—
741	#121	—	5	1	no	—
742	#121	—	5	1	no	—
743	#121	—	5	2	no	—
744	#121	C₄×D₅	1	1	yes	characteristic
745	C₄×Q₈	—	5	1	no	—
746	C₄×Q₈	—	5	2	no	—
747	C₄×Q₈	—	5	1	no	—
748	C₄×Q₈	—	5	2	no	—
749	C₄×Q₈	—	5	1	no	—
750	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
751	C₄×D₄	—	5	1	no	—
752	C₄×D₄	—	5	2	no	—
753	C₄×D₄	—	5	2	no	—
754	C₄×D₄	—	5	2	no	—
755	C₄×D₄	—	5	2	no	—
756	C₄×D₄	—	5	1	no	—
757	C₄×D₄	—	5	2	no	—
758	C₄×D₄	—	5	2	no	—
759	C₄×D₄	—	5	2	no	—
760	C₄×D₄	—	5	2	no	—
761	C₄×D₄	—	5	1	no	—
762	C₄×D₄	—	5	2	no	—
763	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
764	C₄×D₄	C₂²×D₅	1	2	yes	—
765	#117	—	5	2	no	—
766	#117	—	5	2	no	—
767	#117	—	5	2	no	—
768	#117	—	5	2	no	—
769	#117	—	5	2	no	—
770	#117	—	5	2	no	—
771	#117	—	5	2	no	—
772	#117	C₂²×D₅	1	2	yes	—
773	C₂×C₄⋊C₄	—	5	2	no	—
774	C₂×C₄⋊C₄	—	5	2	no	—
775	C₂×C₄⋊C₄	—	5	1	no	—
776	C₂×C₄⋊C₄	—	5	2	no	—
777	C₂×C₄⋊C₄	—	5	1	no	—
778	C₂×C₄⋊C₄	—	5	2	no	—
779	C₂×C₂²⋊C₄	—	5	2	no	—
780	C₂×C₂²⋊C₄	—	5	2	no	—
781	C₂×C₂²⋊C₄	—	5	2	no	—
782	C₂×C₂²⋊C₄	—	5	2	no	—
783	C₂×C₂²⋊C₄	—	5	2	no	—
784	C₂×C₄²	—	5	1	no	—
785	C₂×C₄²	—	5	1	no	—
786	C₂×C₄²	—	5	1	no	—
787	C₂×C₄²	—	5	1	no	—
788	C₂×C₄²	—	5	1	no	—
789	C₂×C₄²	—	5	1	no	—
790	C₂×C₄²	—	5	1	no	—
791	C₂×C₄²	—	5	1	no	—
792	C₂×C₄²	—	5	2	no	—
793	C₂×C₄²	—	5	1	no	—
794	C₂×C₄²	—	5	1	no	—
795	C₂×C₄²	—	5	1	no	—
796	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
797	C₄⋊C₈	—	5	2	no	—
798	C₄⋊C₈	—	5	2	no	—
799	C₄⋊C₈	—	5	2	no	—
800	C₄⋊C₈	—	5	2	no	—
801	C₄⋊C₈	—	5	2	no	—
802	C₄⋊C₈	—	5	2	no	—
803	C₄⋊C₈	—	5	1	no	—
804	C₄⋊C₈	—	5	1	no	—
805	C₄⋊C₈	—	5	2	no	—
806	C₄⋊C₈	—	5	2	no	—
807	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
808	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
809	C₄⋊C₈	C₂²×D₅	1	2	yes	—
810	C₄⋊C₈	C₂²×D₅	1	2	yes	—
811	C₂²⋊C₈	—	5	2	no	—
812	C₂²⋊C₈	—	5	2	no	—
813	C₂²⋊C₈	—	5	2	no	—
814	C₂²⋊C₈	—	5	2	no	—
815	C₂²⋊C₈	—	5	2	no	—
816	C₂²⋊C₈	—	5	2	no	—
817	C₂²⋊C₈	—	5	2	no	—
818	C₂²⋊C₈	—	5	2	no	—
819	C₂²⋊C₈	—	5	2	no	—
820	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
821	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
822	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
823	#97	—	5	1	no	—
824	#97	—	5	1	no	—
825	#97	—	5	1	no	—
826	#97	—	5	1	no	—
827	#97	—	5	2	no	—
828	#97	—	5	2	no	—
829	#97	—	5	1	no	—
830	#97	—	5	1	no	—
831	#97	—	5	2	no	—
832	#97	C₂²×D₅	1	1	yes	characteristic
833	#97	C₂²×D₅	1	1	yes	characteristic
834	#97	C₂²×D₅	1	2	yes	—
835	C₄×C₈	—	5	1	no	—
836	C₄×C₈	—	5	1	no	—
837	C₄×C₈	—	5	1	no	—
838	C₄×C₈	—	5	1	no	—
839	C₄×C₈	—	5	2	no	—
840	C₄×C₈	—	5	2	no	—
841	C₄×C₈	—	5	2	no	—
842	C₄×C₈	—	5	2	no	—
843	C₄×C₈	—	5	1	no	—
844	C₄×C₈	—	5	1	no	—
845	C₄×C₈	—	5	2	no	—
846	C₄×C₈	—	5	2	no	—
847	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
848	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
849	C₄×C₈	C₂²×D₅	1	2	yes	—
850	C₄×C₈	C₂²×D₅	1	2	yes	—
851	C₂²×C₅	—	2	2	no	—
852	C₂²×C₅	—	2	1	no	—
853	C₂²×C₅	—	2	1	no	—
854	C₂²×C₅	—	2	2	no	—
855	C₂²×C₅	—	2	1	no	—
856	C₂²×C₅	—	2	2	no	—
857	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
858	C₂×D₅	—	2	2	no	—
859	C₂×D₅	—	2	1	no	—
860	C₂×D₅	—	2	1	no	—
861	C₂×D₅	—	2	2	no	—
862	C₂×D₅	—	2	1	no	—
863	C₂×D₅	—	2	2	no	—
864	C₂×D₅	—	4	4	no	—
865	C₂×D₅	—	4	8	no	—
866	C₂×D₅	C₄×#41	1	2	yes	—
867	C₂×D₅	C₂×#131	1	2	yes	—
868	C₂×D₅	#568	1	2	yes	—
869	C₄×C₅	—	2	2	no	—
870	C₄×C₅	—	2	1	no	—
871	C₄×C₅	—	2	2	no	—
872	C₄×C₅	—	2	1	no	—
873	C₄×C₅	—	2	1	no	—
874	C₄×C₅	—	2	1	no	—
875	C₄×C₅	—	2	2	no	—
876	C₄×C₅	C₂×#131	1	2	yes	—
877	C₄×C₅	C₂²×#41	1	1	yes	characteristic
878	C₄×C₅	C₂²×#41	1	1	yes	characteristic
879	Dic₅	—	2	2	no	—
880	Dic₅	—	2	1	no	—
881	Dic₅	—	2	2	no	—
882	Dic₅	—	2	1	no	—
883	Dic₅	—	2	1	no	—
884	Dic₅	—	2	1	no	—
885	Dic₅	—	2	2	no	—
886	Dic₅	C₄×#41	1	2	yes	—
887	Dic₅	C₂×#131	1	2	yes	—
888	C₂⁴	—	5	2	no	—
889	C₂⁴	—	5	1	no	—
890	C₂×Q₈	—	5	2	no	—
891	C₂×Q₈	—	5	1	no	—
892	C₂×Q₈	—	10	4	no	—
893	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
894	C₂×D₄	—	5	2	no	—
895	C₂×D₄	—	5	2	no	—
896	C₂×D₄	—	5	2	no	—
897	C₂×D₄	—	5	1	no	—
898	C₂×D₄	—	5	2	no	—
899	C₂×D₄	—	10	4	no	—
900	C₂×D₄	—	20	4	no	—
901	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
902	C₂×D₄	C₂×C₄×D₅	1	2	yes	—
903	C₂²×C₄	—	5	1	no	—
904	C₂²×C₄	—	5	1	no	—
905	C₂²×C₄	—	5	1	no	—
906	C₂²×C₄	—	5	1	no	—
907	C₂²×C₄	—	5	2	no	—
908	C₂²×C₄	—	5	1	no	—
909	C₂²×C₄	—	5	1	no	—
910	C₂²×C₄	—	5	1	no	—
911	C₂²×C₄	—	5	1	no	—
912	C₂²×C₄	—	5	1	no	—
913	C₂²×C₄	—	5	1	no	—
914	C₂²×C₄	—	5	1	no	—
915	C₂²×C₄	—	5	1	no	—
916	C₂²×C₄	—	5	2	no	—
917	C₂²×C₄	—	5	2	no	—
918	C₂²×C₄	—	5	2	no	—
919	C₂²×C₄	—	5	2	no	—
920	C₂²×C₄	—	5	1	no	—
921	C₂²×C₄	—	5	2	no	—
922	C₂²×C₄	—	5	1	no	—
923	C₂²×C₄	—	5	1	no	—
924	C₂²×C₄	—	10	4	no	—
925	C₂²×C₄	—	10	4	no	—
926	C₂²×C₄	—	10	2	no	—
927	C₂²×C₄	—	10	2	no	—
928	C₂²×C₄	—	10	4	no	—
929	C₂²×C₄	—	20	2	no	—
930	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
931	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
932	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
933	C₂²×C₄	C₂³×D₅	1	2	yes	—
934	M₁₆	—	2	2	no	—
935	M₁₆	—	2	2	no	—
936	M₁₆	—	2	4	no	—
937	M₁₆	—	10	2	no	—
938	M₁₆	—	10	2	no	—
939	M₁₆	—	10	4	no	—
940	M₁₆	—	10	2	no	—
941	M₁₆	—	10	2	no	—
942	M₁₆	—	10	4	no	—
943	M₁₆	—	10	2	no	—
944	M₁₆	—	10	2	no	—
945	M₁₆	—	10	4	no	—
946	C₂×C₈	—	2	4	no	—
947	C₂×C₈	—	5	1	no	—
948	C₂×C₈	—	5	1	no	—
949	C₂×C₈	—	5	4	no	—
950	C₂×C₈	—	5	4	no	—
951	C₂×C₈	—	5	2	no	—
952	C₂×C₈	—	5	1	no	—
953	C₂×C₈	—	5	1	no	—
954	C₂×C₈	—	5	2	no	—
955	C₂×C₈	—	10	4	no	—
956	C₂×C₈	—	10	4	no	—
957	C₂×C₈	—	10	2	no	—
958	C₂×C₈	—	10	2	no	—
959	C₂×C₈	—	10	4	no	—
960	C₂×C₈	—	10	4	no	—
961	C₂×C₈	—	10	4	no	—
962	C₂×C₈	C₂³×D₅	1	2	yes	—
963	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
964	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
965	C₂×C₈	C₂³×D₅	1	2	yes	—
966	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
967	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
968	C₄⋊C₄	—	5	2	no	—
969	C₄⋊C₄	—	5	2	no	—
970	C₄⋊C₄	—	5	2	no	—
971	C₄⋊C₄	—	5	2	no	—
972	C₄⋊C₄	—	5	2	no	—
973	C₄⋊C₄	—	5	2	no	—
974	C₄⋊C₄	—	5	2	no	—
975	C₄⋊C₄	—	5	1	no	—
976	C₄⋊C₄	—	5	2	no	—
977	C₄⋊C₄	—	5	2	no	—
978	C₄⋊C₄	—	5	2	no	—
979	C₄⋊C₄	—	5	2	no	—
980	C₄⋊C₄	—	5	1	no	—
981	C₄⋊C₄	—	5	2	no	—
982	C₄⋊C₄	—	5	2	no	—
983	C₄⋊C₄	—	5	2	no	—
984	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
985	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
986	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
987	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
988	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
989	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
990	C₂²⋊C₄	—	5	2	no	—
991	C₂²⋊C₄	—	5	2	no	—
992	C₂²⋊C₄	—	5	2	no	—
993	C₂²⋊C₄	—	5	2	no	—
994	C₂²⋊C₄	—	5	2	no	—
995	C₂²⋊C₄	—	5	2	no	—
996	C₂²⋊C₄	—	5	2	no	—
997	C₂²⋊C₄	—	5	2	no	—
998	C₂²⋊C₄	—	5	2	no	—
999	C₂²⋊C₄	—	5	2	no	—
1000	C₂²⋊C₄	—	5	2	no	—
1001	C₂²⋊C₄	—	5	2	no	—
1002	C₂²⋊C₄	—	5	2	no	—
1003	C₂²⋊C₄	—	5	2	no	—
1004	C₂²⋊C₄	—	5	2	no	—
1005	C₂²⋊C₄	C₂×C₄×D₅	1	2	yes	—
1006	C₂²⋊C₄	C₂×C₄×D₅	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₄×D₅	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₄×D₅	1	2	yes	—
1009	C₂²⋊C₄	C₂×C₄×D₅	1	2	yes	—
1010	C₄²	—	5	1	no	—
1011	C₄²	—	5	1	no	—
1012	C₄²	—	5	1	no	—
1013	C₄²	—	5	1	no	—
1014	C₄²	—	5	1	no	—
1015	C₄²	—	5	1	no	—
1016	C₄²	—	5	1	no	—
1017	C₄²	—	5	1	no	—
1018	C₄²	—	5	1	no	—
1019	C₄²	—	5	1	no	—
1020	C₄²	—	5	2	no	—
1021	C₄²	—	5	2	no	—
1022	C₄²	—	5	1	no	—
1023	C₄²	—	5	1	no	—
1024	C₄²	—	5	2	no	—
1025	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1026	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1027	C₄²	C₂³×D₅	1	1	yes	characteristic
1028	C₄²	C₂³×D₅	1	1	yes	characteristic
1029	C₄²	C₂³×D₅	1	2	yes	—
1030	C₂×C₅	—	4	1	no	—
1031	C₂×C₅	—	4	2	no	—
1032	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1033	C₂×C₅	C₂²×#131	1	1	yes	characteristic
1034	C₂×C₅	C₂×#568	1	1	yes	characteristic
1035	D₅	—	4	1	no	—
1036	D₅	—	4	2	no	—
1037	D₅	#2969	1	4	yes	direct product factor
1038	C₂³	—	5	1	no	—
1039	C₂³	—	5	2	no	—
1040	C₂³	—	5	1	no	—
1041	C₂³	—	10	4	no	—
1042	C₂³	—	10	2	no	—
1043	C₂³	—	10	2	no	—
1044	C₂³	—	10	2	no	—
1045	C₂³	—	10	4	no	—
1046	C₂³	—	10	4	no	—
1047	C₂³	C₂²×C₄×D₅	1	2	yes	—
1048	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1049	Q₈	—	2	2	no	—
1050	Q₈	—	10	4	no	—
1051	Q₈	—	10	2	no	—
1052	D₄	—	2	2	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	10	4	no	—
1055	D₄	—	10	2	no	—
1056	D₄	—	20	2	no	—
1057	D₄	—	20	2	no	—
1058	D₄	—	20	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	4	1	no	—
1065	C₂×C₄	—	5	1	no	—
1066	C₂×C₄	—	5	1	no	—
1067	C₂×C₄	—	5	4	no	—
1068	C₂×C₄	—	5	2	no	—
1069	C₂×C₄	—	5	2	no	—
1070	C₂×C₄	—	5	1	no	—
1071	C₂×C₄	—	5	1	no	—
1072	C₂×C₄	—	5	1	no	—
1073	C₂×C₄	—	5	1	no	—
1074	C₂×C₄	—	5	2	no	—
1075	C₂×C₄	—	5	2	no	—
1076	C₂×C₄	—	5	2	no	—
1077	C₂×C₄	—	10	2	no	—
1078	C₂×C₄	—	10	4	no	—
1079	C₂×C₄	—	10	2	no	—
1080	C₂×C₄	—	10	2	no	—
1081	C₂×C₄	—	10	4	no	—
1082	C₂×C₄	—	10	2	no	—
1083	C₂×C₄	—	10	2	no	—
1084	C₂×C₄	—	10	2	no	—
1085	C₂×C₄	—	10	4	no	—
1086	C₂×C₄	—	10	4	no	—
1087	C₂×C₄	—	10	2	no	—
1088	C₂×C₄	—	10	4	no	—
1089	C₂×C₄	—	10	2	no	—
1090	C₂×C₄	—	10	2	no	—
1091	C₂×C₄	—	10	2	no	—
1092	C₂×C₄	—	10	1	no	—
1093	C₂×C₄	—	10	1	no	—
1094	C₂×C₄	—	10	2	no	—
1095	C₂×C₄	—	20	1	no	—
1096	C₂×C₄	—	20	1	no	—
1097	C₂×C₄	—	20	1	no	—
1098	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1099	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1100	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1101	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1102	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1103	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1104	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1105	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1106	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1107	C₈	—	2	2	no	—
1108	C₈	—	2	1	no	—
1109	C₈	—	2	1	no	—
1110	C₈	—	2	2	no	—
1111	C₈	—	5	2	no	—
1112	C₈	—	5	2	no	—
1113	C₈	—	10	2	no	—
1114	C₈	—	10	1	no	—
1115	C₈	—	10	1	no	—
1116	C₈	—	10	2	no	—
1117	C₈	D₅×#41	1	2	yes	—
1118	C₈	D₅×#41	1	2	yes	—
1119	C₅	C₂×#2969	1	1	yes	characteristic, complemented, Sylow
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	1	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	1	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	5	2	no	—
1127	C₂²	—	5	2	no	—
1128	C₂²	—	5	2	no	—
1129	C₂²	—	10	2	no	—
1130	C₂²	—	10	1	no	—
1131	C₂²	—	10	1	no	—
1132	C₂²	—	10	2	no	—
1133	C₂²	—	10	1	no	—
1134	C₂²	—	10	2	no	—
1135	C₂²	—	20	4	no	—
1136	C₂²	—	20	8	no	—
1137	C₂²	C₂³×C₄×D₅	1	1	yes	characteristic
1138	C₄	—	2	2	no	—
1139	C₄	—	2	1	no	—
1140	C₄	—	2	1	no	—
1141	C₄	—	2	2	no	—
1142	C₄	—	2	1	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	2	no	—
1145	C₄	—	5	2	no	—
1146	C₄	—	5	2	no	—
1147	C₄	—	10	1	no	—
1148	C₄	—	10	2	no	—
1149	C₄	—	10	1	no	—
1150	C₄	—	10	2	no	—
1151	C₄	—	10	1	no	—
1152	C₄	—	10	1	no	—
1153	C₄	—	10	2	no	—
1154	C₄	D₅×#131	1	2	yes	—
1155	C₄	C₂×D₅×#41	1	1	yes	characteristic
1156	C₄	C₂×D₅×#41	1	1	yes	characteristic
1157	C₂	—	4	1	no	—
1158	C₂	—	4	2	no	—
1159	C₂	—	5	4	no	—
1160	C₂	—	20	1	no	—
1161	C₂	—	20	2	no	—
1162	C₂	C₄×D₅×#41	1	1	yes	characteristic
1163	C₂	C₂×D₅×#131	1	1	yes	characteristic
1164	C₂	D₅×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#2969	C₂
prime radical	D₅×#121	C₄
cosocle	C₂×C₄×C₅	C₂⁵
hypercenter	#2969	D₅
hypocenter	C₅	C₂×#2969
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #2969

Complements

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

N	H ≅ G/N	type
2. C₅×#2969	C₂	semidirect
3. #10614860	C₂	semidirect
4. D₅×#446	C₂	semidirect
5. #10611673	C₂	semidirect
6. C₈×Q₈×D₅	C₂	semidirect
7. #10611635	C₂	semidirect
8. D₅×#436	C₂	semidirect
9. D₅×#436	C₂	semidirect
10. #10611252	C₂	semidirect
11. #10611251	C₂	semidirect
12. D₅×#435	C₂	semidirect
13. #10611190	C₂	semidirect
14. C₈×D₄×D₅	C₂	semidirect
15. #10611134	C₂	semidirect
16. D₅×#433	C₂	semidirect
17. #10611100	C₂	semidirect
18. D₅×#431	C₂	semidirect
19. #10611011	C₂	semidirect
20. #10610290	C₂	semidirect
21. D₅×#405	C₂	semidirect
22. C₄×D₅×M₁₆	C₂	semidirect
23. #10610242	C₂	semidirect
51. C₅×#446	C₂²	semidirect
52. C₅×C₈×Q₈	C₂²	semidirect
53. C₅×#436	C₂²	semidirect
54. C₅×#436	C₂²	semidirect
55. C₅×#435	C₂²	semidirect
56. C₅×C₈×D₄	C₂²	semidirect
57. C₅×#433	C₂²	semidirect
58. C₅×#431	C₂²	semidirect
59. C₅×#405	C₂²	semidirect
60. C₄×C₅×M₁₆	C₂²	semidirect
61. #65417	C₂²	semidirect
62. #65417	C₂²	semidirect
63. #65417	C₂²	semidirect
64. #65416	C₂²	semidirect
65. #65411	C₂²	semidirect
66. M₁₆×Dic₅	C₂²	semidirect
67. M₁₆×Dic₅	C₂²	semidirect
68. #65400	C₂²	semidirect
69. C₈×C₂²⋊D₅	C₂²	semidirect
70. #65390	C₂²	semidirect
71. #65313	C₂²	semidirect
72. Q₈×#168	C₂²	semidirect
73. #65301	C₂²	semidirect
74. #65301	C₂²	semidirect
75. #65300	C₂²	semidirect
76. D₄×#168	C₂²	semidirect
77. #65289	C₂²	semidirect
78. #65286	C₂²	semidirect
79. #65214	C₂²	semidirect
80. C₄×#681	C₂²	semidirect
81. #65129	C₂²	semidirect
82. #65129	C₂²	semidirect
83. #65127	C₂²	semidirect
84. #65127	C₂²	semidirect
85. #65125	C₂²	semidirect
86. #65123	C₂²	semidirect
87. #65122	C₂²	semidirect
88. #65122	C₂²	semidirect
93. #65120	C₂²	semidirect
94. #65119	C₂²	semidirect
95. #65119	C₂²	semidirect
96. #65117	C₂²	semidirect
97. #65019	C₂²	semidirect
98. #65018	C₂²	semidirect
99. #65018	C₂²	semidirect
100. #65018	C₂²	semidirect
101. #65017	C₂²	semidirect
102. #65014	C₂²	semidirect
106. #65009	C₂²	semidirect
107. #65009	C₂²	semidirect
108. #65007	C₂²	semidirect
109. #64998	C₂²	semidirect
110. #64997	C₂²	semidirect
111. #64997	C₂²	semidirect
112. #64996	C₂²	semidirect
113. #64996	C₂²	semidirect
114. #64995	C₂²	semidirect
118. #64990	C₂²	semidirect
119. #64979	C₂²	semidirect
120. #64978	C₂²	semidirect
121. #64978	C₂²	semidirect
122. #64977	C₂²	semidirect
123. #64977	C₂²	semidirect
124. C₄×#676	C₂²	semidirect
125. C₄×#676	C₂²	semidirect
126. C₈×D₂₀	C₂²	semidirect
127. #64974	C₂²	semidirect
132. #64968	C₂²	semidirect
133. C₈×Dic₁₀	C₂²	semidirect
134. C₈×Dic₁₀	C₂²	semidirect
327. #2969	D₅	direct (N × H)
512. #446	C₂×D₅	semidirect
518. C₈×Q₈	C₂×D₅	semidirect
531. #436	C₂×D₅	semidirect
532. #436	C₂×D₅	semidirect
540. #435	C₂×D₅	semidirect
546. C₈×D₄	C₂×D₅	semidirect
554. #433	C₂×D₅	semidirect
560. #431	C₂×D₅	semidirect
575. #405	C₂×D₅	semidirect
583. C₄×M₁₆	C₂×D₅	semidirect
1037. D₅	#2969	direct (N × H)
1119. C₅	C₂×#2969	semidirect

Maximal subgroups

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

subgroup	index
D₅×#529	2
C₅×#2969	2
#10614860	2
D₅×#446	2
#10611673	2
C₈×Q₈×D₅	2
#10611635	2
D₅×#436	2
#10611252	2
#10611251	2
D₅×#435	2
#10611190	2
C₈×D₄×D₅	2
#10611134	2
D₅×#433	2
#10611100	2
D₅×#431	2
#10611011	2
#10610290	2
D₅×#405	2
C₄×D₅×M₁₆	2
#10610242	2
C₂×#2969	5

Subgroups — D5×#2969 #12963776

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#2969 #12963776