Subgroups — D₅×#3491 #13007346

Order 1280.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3491	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618760	C₂	1	8	yes	maximal, complemented
3	D₅×#552	C₂	1	8	yes	maximal, complemented
4	#10618717	C₂	1	8	yes	maximal, complemented
5	D₅×#551	C₂	1	8	yes	maximal, complemented
6	D₅×#543	C₂	1	1	yes	maximal, characteristic, complemented
7	#10618474	C₂	1	1	yes	maximal, characteristic, complemented
8	#10618354	C₂	1	4	yes	maximal, complemented
9	D₅×#539	C₂	1	4	yes	maximal, complemented
10	D₅×#534	C₂	1	1	yes	maximal, characteristic
11	#10618198	C₂	1	1	yes	maximal, characteristic, complemented
12	#10618056	C₂	1	4	yes	maximal, complemented
13	D₅×#529	C₂	1	4	yes	maximal, complemented
14	C₂×D₅×#123	C₂	1	2	yes	maximal, complemented
15	#10617902	C₂	1	2	yes	maximal, complemented
16	D₅×#518	C₂	1	2	yes	maximal, complemented
17	#10617760	C₂	1	2	yes	maximal, complemented
18	#10617646	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×D₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×D₄×D₅	C₂²	1	2	yes	—
21	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
22	C₅×#552	C₂²	1	8	yes	complemented
23	C₅×#551	C₂²	1	8	yes	complemented
24	C₅×#543	C₂²	1	1	yes	characteristic, complemented
25	C₅×#539	C₂²	1	4	yes	complemented
26	C₅×#534	C₂²	1	1	yes	characteristic
27	C₅×#529	C₂²	1	4	yes	complemented
28	C₂×C₅×#123	C₂²	1	2	yes	complemented
29	C₅×#518	C₂²	1	2	yes	complemented
30	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
31	#66138	C₂²	1	2	yes	—
32	#66132	C₂²	1	2	yes	complemented
33	C₂×#4081	C₂²	1	2	yes	complemented
34	C₂×#4075	C₂²	1	2	yes	complemented
35	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
36	#66042	C₂²	1	8	yes	complemented
37	#66042	C₂²	1	8	yes	complemented
38	#66041	C₂²	1	8	yes	complemented
39	#66040	C₂²	1	8	yes	complemented
40	#66039	C₂²	1	8	yes	complemented
41	#66039	C₂²	1	8	yes	complemented
42	D₅×#126	C₂²	1	8	yes	complemented
43	D₅×#126	C₂²	1	8	yes	complemented
44	#66028	C₂²	1	8	yes	complemented
45	#66027	C₂²	1	8	yes	complemented
46	#66027	C₂²	1	8	yes	complemented
47	#66026	C₂²	1	8	yes	complemented
48	#66025	C₂²	1	4	yes	complemented
49	D₅×#125	C₂²	1	4	yes	complemented
50	D₅×#125	C₂²	1	8	yes	complemented
51	#66014	C₂²	1	4	yes	complemented
52	#66013	C₂²	1	8	yes	complemented
53	D₅×#124	C₂²	1	4	yes	complemented
54	#65999	C₂²	1	8	yes	complemented
55	#65994	C₂²	1	8	yes	complemented
56	#65993	C₂²	1	8	yes	complemented
57	#65992	C₂²	1	8	yes	complemented
58	#65992	C₂²	1	8	yes	complemented
59	#65987	C₂²	1	4	yes	—
60	D₅×#123	C₂²	1	8	yes	—
61	D₅×#123	C₂²	1	4	yes	—
62	D₅×#123	C₂²	1	8	yes	complemented
63	D₅×#123	C₂²	1	4	yes	complemented
64	D₅×#123	C₂²	1	4	yes	complemented
65	D₅×#123	C₂²	1	8	yes	complemented
66	D₅×#123	C₂²	1	4	yes	complemented
67	D₅×#123	C₂²	1	4	yes	complemented
68	#65984	C₂²	1	8	yes	complemented
69	#65984	C₂²	1	8	yes	complemented
70	#65983	C₂²	1	8	yes	complemented
71	#65979	C₂²	1	4	yes	complemented
72	#65976	C₂²	1	8	yes	complemented
73	#65973	C₂²	1	8	yes	complemented
74	#65972	C₂²	1	8	yes	complemented
75	#65971	C₂²	1	8	yes	complemented
76	#65971	C₂²	1	8	yes	complemented
77	#65968	C₂²	1	8	yes	complemented
78	#65968	C₂²	1	4	yes	complemented
79	D₅×C₂²⋊Q₈	C₂²	1	8	yes	complemented
80	D₅×C₂²⋊Q₈	C₂²	1	8	yes	complemented
81	D₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
82	#65958	C₂²	1	4	yes	complemented
83	#65939	C₂²	1	4	yes	—
84	D₅×#121	C₂²	1	4	yes	—
85	#65936	C₂²	1	4	yes	complemented
86	#65934	C₂²	1	4	yes	complemented
87	#65923	C₂²	1	4	yes	—
88	D₅×#120	C₂²	1	4	yes	—
89	#65921	C₂²	1	8	yes	complemented
90	#65915	C₂²	1	8	yes	complemented
91	#65914	C₂²	1	4	yes	complemented
92	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
93	#65898	C₂²	1	8	yes	complemented
94	#65891	C₂²	1	4	yes	complemented
95	#65890	C₂²	1	8	yes	complemented
96	#65890	C₂²	1	8	yes	complemented
97	#65879	C₂²	1	8	yes	complemented
98	#65879	C₂²	1	8	yes	complemented
99	C₄×D₄×D₅	C₂²	1	8	yes	—
100	C₄×D₄×D₅	C₂²	1	4	yes	complemented
101	C₄×D₄×D₅	C₂²	1	8	yes	complemented
102	#65875	C₂²	1	8	yes	complemented
103	#65872	C₂²	1	8	yes	complemented
104	#65865	C₂²	1	8	yes	complemented
105	#65865	C₂²	1	8	yes	complemented
106	#65863	C₂²	1	8	yes	complemented
107	#65862	C₂²	1	8	yes	complemented
108	#65861	C₂²	1	8	yes	complemented
109	#65861	C₂²	1	8	yes	complemented
110	#65855	C₂²	1	4	yes	complemented
111	D₅×#117	C₂²	1	8	yes	complemented
112	D₅×#117	C₂²	1	8	yes	complemented
113	D₅×#117	C₂²	1	4	yes	complemented
114	D₅×#117	C₂²	1	8	yes	complemented
115	#65849	C₂²	1	4	yes	complemented
116	#65847	C₂²	1	8	yes	complemented
117	C₂×#4040	C₂²	1	4	yes	complemented
118	C₂×#4038	C₂²	1	2	yes	complemented
119	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
120	C₂×D₅×C₄⋊C₄	C₂²	1	4	yes	complemented
121	#65829	C₂²	1	8	yes	complemented
122	#65829	C₂²	1	8	yes	complemented
123	#65827	C₂²	1	1	yes	characteristic
124	C₂×#4032	C₂²	1	2	yes	complemented
125	C₂×#4029	C₂²	1	4	yes	complemented
126	#65820	C₂²	1	2	yes	complemented
127	#65820	C₂²	1	2	yes	complemented
128	#65820	C₂²	1	4	yes	complemented
129	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
130	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
131	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
132	C₂×D₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
133	C₂×D₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
134	#65817	C₂²	1	1	yes	characteristic, complemented
135	#65817	C₂²	1	2	yes	complemented
136	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
137	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
138	#65813	C₂²	1	4	yes	complemented
139	C₂×#4018	C₂²	1	2	yes	complemented
140	C₂×C₄²×D₅	C₂²	1	2	yes	complemented
141	C₂×#3491	—	5	1	no	maximal, Sylow
142	C₂⁴×D₅	C₂³	1	2	yes	—
143	C₂⁴×D₅	C₂³	1	1	yes	characteristic
144	C₂²×C₅×D₄	C₂³	1	2	yes	—
145	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
146	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
147	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
148	C₂³×Dic₅	C₂³	1	1	yes	characteristic
149	C₂×Q₈×D₅	C₂³	1	4	yes	—
150	C₂×D₄×D₅	—	2	16	no	—
151	C₂×D₄×D₅	C₂³	1	4	yes	—
152	C₂×D₄×D₅	C₂³	1	4	yes	—
153	C₂×D₄×D₅	C₂³	1	4	yes	—
154	C₂×D₄×D₅	C₂³	1	4	yes	—
155	C₂×D₄×D₅	C₂³	1	4	yes	—
156	C₂²×D₂₀	C₂³	1	2	yes	—
157	C₂²×C₄×D₅	—	2	8	no	—
158	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
159	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
160	C₂²×C₄×D₅	C₂³	1	4	yes	—
161	C₂²×C₄×D₅	C₂³	1	4	yes	—
162	C₂²×C₄×D₅	C₂³	1	2	yes	—
163	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
165	C₂²×C₄×D₅	C₂³	1	2	yes	—
166	C₂²×C₄×D₅	C₂³	1	2	yes	—
167	C₂²×C₄×D₅	C₂³	1	4	yes	—
168	C₂²×C₄×D₅	C₂³	1	8	yes	—
169	C₅×#126	C₂³	1	8	yes	complemented
170	C₅×#126	C₂³	1	8	yes	complemented
171	C₅×#125	C₂³	1	4	yes	complemented
172	C₅×#125	C₂³	1	8	yes	complemented
173	C₅×#124	C₂³	1	4	yes	complemented
174	C₅×#123	C₂³	1	8	yes	—
175	C₅×#123	C₂³	1	4	yes	—
176	C₅×#123	C₂³	1	4	yes	complemented
177	C₅×#123	C₂³	1	4	yes	complemented
178	C₅×#123	C₂³	1	8	yes	complemented
179	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
180	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
181	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
182	C₅×#121	C₂³	1	4	yes	—
183	C₅×#120	C₂³	1	4	yes	—
184	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
185	C₄×C₅×D₄	C₂³	1	8	yes	—
186	C₄×C₅×D₄	C₂³	1	8	yes	complemented
187	C₄×C₅×D₄	C₂³	1	4	yes	complemented
188	C₅×#117	C₂³	1	8	yes	complemented
189	C₅×#117	C₂³	1	4	yes	complemented
190	C₅×#117	C₂³	1	8	yes	complemented
191	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
192	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
193	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
197	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
198	C₂×C₄²×C₅	C₂³	1	2	yes	complemented
199	#4099	C₂³	1	4	yes	—
200	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
203	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
204	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
205	#4093	C₂³	1	4	yes	complemented
206	#4092	C₂³	1	4	yes	complemented
207	#4092	C₂³	1	8	yes	complemented
208	#4092	C₂³	1	8	yes	complemented
209	Q₈×Dic₅	C₂³	1	4	yes	complemented
210	#4085	C₂³	1	8	yes	—
211	#4084	C₂³	1	4	yes	—
212	#4083	C₂³	1	4	yes	—
213	#4083	C₂³	1	8	yes	—
214	#4082	C₂³	1	4	yes	complemented
215	#4081	C₂³	1	8	yes	—
216	#4081	C₂³	1	4	yes	—
217	#4081	C₂³	1	4	yes	complemented
218	#4081	C₂³	1	4	yes	complemented
219	#4081	C₂³	1	8	yes	complemented
220	D₄×Dic₅	C₂³	1	8	yes	—
221	D₄×Dic₅	C₂³	1	8	yes	complemented
222	D₄×Dic₅	C₂³	1	4	yes	complemented
223	#4076	C₂³	1	4	yes	—
224	#4075	C₂³	1	8	yes	—
225	#4075	C₂³	1	4	yes	—
226	#4075	C₂³	1	4	yes	complemented
227	#4075	C₂³	1	8	yes	complemented
228	#4075	C₂³	1	4	yes	complemented
229	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
230	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
231	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
232	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
233	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
234	C₂×#685	C₂³	1	2	yes	—
235	C₂×#685	C₂³	1	2	yes	—
236	C₂×#685	C₂³	1	4	yes	—
237	C₂×#685	C₂³	1	4	yes	complemented
238	C₂×#685	C₂³	1	4	yes	complemented
239	C₂×#685	C₂³	1	8	yes	complemented
240	#4072	C₂³	1	8	yes	complemented
241	#4072	C₂³	1	8	yes	complemented
242	#4072	C₂³	1	4	yes	complemented
243	C₂×C₄⋊Dic₅	C₂³	1	4	yes	complemented
244	C₂×C₄⋊Dic₅	C₂³	1	2	yes	complemented
245	#4070	C₂³	1	4	yes	complemented
246	#4070	C₂³	1	8	yes	complemented
247	#4070	C₂³	1	8	yes	complemented
248	C₂×#683	C₂³	1	2	yes	complemented
249	C₂×#683	C₂³	1	2	yes	complemented
250	C₂×#683	C₂³	1	4	yes	complemented
251	C₂×#683	C₂³	1	4	yes	complemented
252	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
253	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
254	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
255	#4044	C₂³	1	8	yes	complemented
256	#4044	C₂³	1	8	yes	complemented
257	#4044	C₂³	1	8	yes	complemented
258	#4044	C₂³	1	8	yes	complemented
259	#4044	C₂³	1	8	yes	complemented
260	#4044	C₂³	1	8	yes	complemented
261	#4043	C₂³	1	8	yes	complemented
262	#4043	C₂³	1	8	yes	complemented
263	#4043	C₂³	1	4	yes	complemented
264	#4042	C₂³	1	8	yes	complemented
265	#4042	C₂³	1	8	yes	complemented
266	#4042	C₂³	1	8	yes	complemented
267	#4042	C₂³	1	8	yes	complemented
268	#4042	C₂³	1	8	yes	complemented
269	#4041	C₂³	1	4	yes	—
270	#4040	C₂³	1	8	yes	—
271	#4040	C₂³	1	8	yes	—
272	#4040	C₂³	1	8	yes	—
273	#4040	C₂³	1	8	yes	complemented
274	#4040	C₂³	1	8	yes	complemented
275	#4040	C₂³	1	8	yes	complemented
276	#4040	C₂³	1	8	yes	complemented
277	#4039	C₂³	1	8	yes	—
278	#4039	C₂³	1	8	yes	complemented
279	#4039	C₂³	1	4	yes	complemented
280	#4038	C₂³	1	8	yes	complemented
281	#4038	C₂³	1	8	yes	complemented
282	#4038	C₂³	1	8	yes	complemented
283	#4038	C₂³	1	8	yes	complemented
284	#4038	C₂³	1	8	yes	complemented
285	D₅×C₄⋊C₄	C₂³	1	8	yes	—
286	D₅×C₄⋊C₄	C₂³	1	8	yes	—
287	D₅×C₄⋊C₄	C₂³	1	8	yes	—
288	D₅×C₄⋊C₄	C₂³	1	8	yes	—
289	D₅×C₄⋊C₄	C₂³	1	8	yes	—
290	D₅×C₄⋊C₄	C₂³	1	4	yes	—
291	D₅×C₄⋊C₄	C₂³	1	4	yes	—
292	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
293	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
294	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
295	#4036	C₂³	1	8	yes	complemented
296	#4036	C₂³	1	8	yes	complemented
297	#4036	C₂³	1	4	yes	complemented
298	#4036	C₂³	1	4	yes	complemented
299	#4035	C₂³	1	8	yes	complemented
300	#4035	C₂³	1	8	yes	complemented
301	#4035	C₂³	1	8	yes	complemented
302	#4035	C₂³	1	8	yes	complemented
303	#4035	C₂³	1	8	yes	complemented
304	#4035	C₂³	1	8	yes	complemented
305	#4033	C₂³	1	8	yes	complemented
306	#4033	C₂³	1	4	yes	complemented
307	#4032	C₂³	1	8	yes	—
308	#4032	C₂³	1	4	yes	—
309	#4032	C₂³	1	4	yes	complemented
310	#4032	C₂³	1	4	yes	complemented
311	#4032	C₂³	1	8	yes	complemented
312	#4031	C₂³	1	8	yes	complemented
313	#4031	C₂³	1	8	yes	complemented
314	#4030	C₂³	1	8	yes	—
315	#4029	C₂³	1	8	yes	—
316	#4029	C₂³	1	8	yes	—
317	#4029	C₂³	1	8	yes	—
318	#4029	C₂³	1	8	yes	complemented
319	#4029	C₂³	1	8	yes	complemented
320	#4029	C₂³	1	8	yes	complemented
321	#4029	C₂³	1	8	yes	complemented
322	#4028	C₂³	1	4	yes	—
323	#4028	C₂³	1	8	yes	—
324	#4027	C₂³	1	8	yes	—
325	#4027	C₂³	1	8	yes	—
326	#4027	C₂³	1	8	yes	complemented
327	#4027	C₂³	1	8	yes	complemented
328	#4027	C₂³	1	8	yes	complemented
329	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
330	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
331	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
332	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
333	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
334	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
335	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
336	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
337	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
338	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
339	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
340	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
341	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
342	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
343	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
344	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
345	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
346	#4025	C₂³	1	8	yes	complemented
347	#4025	C₂³	1	8	yes	complemented
348	#4025	C₂³	1	8	yes	complemented
349	#4025	C₂³	1	8	yes	complemented
350	#4025	C₂³	1	8	yes	complemented
351	#4025	C₂³	1	8	yes	complemented
352	#4024	C₂³	1	8	yes	complemented
353	#4024	C₂³	1	8	yes	complemented
354	#4024	C₂³	1	8	yes	complemented
355	#4024	C₂³	1	8	yes	complemented
356	#4024	C₂³	1	8	yes	complemented
357	#4023	C₂³	1	8	yes	complemented
358	#4023	C₂³	1	8	yes	complemented
359	#4023	C₂³	1	4	yes	complemented
360	#4023	C₂³	1	4	yes	complemented
361	#4023	C₂³	1	8	yes	complemented
362	#4023	C₂³	1	8	yes	complemented
363	#4022	C₂³	1	8	yes	complemented
364	#4022	C₂³	1	8	yes	complemented
365	#4021	C₂³	1	4	yes	complemented
366	C₄×D₂₀	C₂³	1	8	yes	—
367	C₄×D₂₀	C₂³	1	4	yes	complemented
368	C₄×D₂₀	C₂³	1	8	yes	complemented
369	#4018	C₂³	1	8	yes	complemented
370	#4018	C₂³	1	8	yes	complemented
371	#4018	C₂³	1	8	yes	complemented
372	#4018	C₂³	1	8	yes	complemented
373	#4018	C₂³	1	8	yes	complemented
374	C₄²×D₅	C₂³	1	4	yes	—
375	C₄²×D₅	C₂³	1	4	yes	—
376	C₄²×D₅	C₂³	1	8	yes	—
377	C₄²×D₅	C₂³	1	4	yes	complemented
378	C₄²×D₅	C₂³	1	4	yes	complemented
379	#4016	C₂³	1	4	yes	complemented
380	#4016	C₂³	1	8	yes	complemented
381	C₄×Dic₁₀	C₂³	1	4	yes	complemented
382	C₄×Dic₁₀	C₂³	1	8	yes	complemented
383	#3491	—	5	8	no	—
384	#3491	—	5	8	no	—
385	#3491	—	5	1	no	—
386	#3491	—	5	4	no	—
387	#3491	—	5	1	no	—
388	#3491	—	5	4	no	—
389	#3491	—	5	2	no	—
390	#3491	—	5	2	no	—
391	#3491	—	5	1	no	—
392	#3491	D₅	1	1	yes	characteristic, direct product factor
393	C₂×#552	—	5	8	no	—
394	C₂×#551	—	5	8	no	—
395	C₂×#543	—	5	1	no	—
396	C₂×#539	—	5	4	no	—
397	C₂×#534	—	5	1	no	—
398	C₂×#529	—	5	4	no	—
399	C₂²×#123	—	5	2	no	—
400	C₂×#518	—	5	2	no	—
401	C₂²×#117	—	5	1	no	—
402	C₂⁴×C₅	C₂⁴	1	2	yes	—
403	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
404	C₂³×D₅	—	2	8	no	—
405	C₂³×D₅	—	4	4	no	—
406	C₂³×D₅	—	4	8	no	—
407	C₂³×D₅	#41	1	8	yes	—
408	C₂³×D₅	C₂⁴	1	4	yes	—
409	C₂³×D₅	C₂⁴	1	1	yes	characteristic
410	C₂³×D₅	C₂⁴	1	2	yes	—
411	C₂³×D₅	C₂⁴	1	2	yes	—
412	C₂³×D₅	C₂⁴	1	4	yes	—
413	C₂³×D₅	C₂⁴	1	2	yes	—
414	C₂³×D₅	C₂⁴	1	1	yes	characteristic
415	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
416	C₂×C₅×D₄	—	2	8	no	—
417	C₂×C₅×D₄	C₂⁴	1	4	yes	—
418	C₂×C₅×D₄	C₂⁴	1	4	yes	—
419	C₂×C₅×D₄	C₂⁴	1	4	yes	—
420	C₂²×C₄×C₅	—	2	4	no	—
421	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
423	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
424	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
426	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
427	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
428	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
429	C₂×C₂²⋊D₅	—	2	8	no	—
430	C₂×C₂²⋊D₅	—	2	8	no	—
431	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
432	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
433	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
434	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
435	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
436	C₂²×Dic₅	—	2	4	no	—
437	C₂²×Dic₅	C₂⁴	1	4	yes	—
438	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₅	C₂⁴	1	2	yes	—
441	C₂²×Dic₅	C₂⁴	1	4	yes	—
442	C₂²×Dic₅	C₂⁴	1	2	yes	—
443	C₂²×Dic₅	C₂⁴	1	2	yes	—
444	C₂²×Dic₅	C₂⁴	1	8	yes	—
445	Q₈×D₅	—	4	8	no	—
446	D₄×D₅	—	2	16	no	—
447	D₄×D₅	—	2	16	no	—
448	D₄×D₅	—	2	16	no	—
449	D₄×D₅	—	2	16	no	—
450	D₄×D₅	—	4	8	no	—
451	C₂×D₂₀	—	2	8	no	—
452	C₂×D₂₀	C₂⁴	1	4	yes	—
453	C₂×D₂₀	C₂⁴	1	4	yes	—
454	C₂×D₂₀	C₂⁴	1	4	yes	—
455	C₂×C₄×D₅	—	2	16	no	—
456	C₂×C₄×D₅	—	2	4	no	—
457	C₂×C₄×D₅	—	2	4	no	—
458	C₂×C₄×D₅	—	2	16	no	—
459	C₂×C₄×D₅	—	2	4	no	—
460	C₂×C₄×D₅	—	2	4	no	—
461	C₂×C₄×D₅	—	2	8	no	—
462	C₂×C₄×D₅	—	4	4	no	—
463	C₂×C₄×D₅	—	4	16	no	—
464	C₂×C₄×D₅	—	4	8	no	—
465	C₂×C₄×D₅	—	4	4	no	—
466	C₂×C₄×D₅	C₂⁴	1	2	yes	—
467	C₂×C₄×D₅	C₂⁴	1	4	yes	—
468	C₂×C₄×D₅	C₂⁴	1	2	yes	—
469	C₂×C₄×D₅	C₂⁴	1	4	yes	—
470	C₂×C₄×D₅	C₂⁴	1	2	yes	—
471	C₂×C₄×D₅	C₂⁴	1	4	yes	—
472	C₂×C₄×D₅	C₂⁴	1	2	yes	—
473	C₂×C₄×D₅	C₂⁴	1	8	yes	—
474	C₂×C₄×D₅	C₂⁴	1	4	yes	—
475	C₂×C₄×D₅	C₂⁴	1	4	yes	—
476	C₂×C₄×D₅	C₂⁴	1	4	yes	—
477	C₂×C₄×D₅	C₂⁴	1	4	yes	—
478	C₂×C₄×D₅	C₂⁴	1	4	yes	—
479	C₂×C₄×D₅	C₂⁴	1	8	yes	—
480	C₂×C₄×D₅	C₂⁴	1	8	yes	—
481	C₂×C₄×D₅	C₂⁴	1	8	yes	—
482	C₂×Dic₁₀	C₂⁴	1	4	yes	—
483	C₂×Dic₁₀	C₂⁴	1	8	yes	—
484	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
485	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
486	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
487	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
488	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
489	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
490	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
491	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
492	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
493	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
494	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
495	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
496	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
497	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
498	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
499	C₄²×C₅	C₂⁴	1	4	yes	—
500	C₄²×C₅	C₂⁴	1	4	yes	—
501	C₄²×C₅	C₂⁴	1	8	yes	—
502	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
503	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
504	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
505	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
506	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
507	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
508	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
509	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
510	#685	C₂⁴	1	8	yes	—
511	#685	C₂⁴	1	8	yes	—
512	#685	C₂⁴	1	8	yes	—
513	#685	C₂⁴	1	8	yes	—
514	#685	C₂⁴	1	8	yes	—
515	#685	C₂⁴	1	8	yes	—
516	#685	C₂⁴	1	8	yes	—
517	#685	C₂⁴	1	8	yes	—
518	#685	C₂⁴	1	8	yes	—
519	#685	C₂⁴	1	8	yes	—
520	#685	C₂⁴	1	8	yes	—
521	#685	C₂⁴	1	8	yes	—
522	C₄⋊Dic₅	C₂⁴	1	4	yes	—
523	C₄⋊Dic₅	C₂⁴	1	8	yes	—
524	C₄⋊Dic₅	C₂⁴	1	4	yes	—
525	C₄⋊Dic₅	C₂⁴	1	8	yes	—
526	C₄⋊Dic₅	C₂⁴	1	8	yes	—
527	C₄⋊Dic₅	C₂⁴	1	8	yes	—
528	C₄⋊Dic₅	C₂⁴	1	8	yes	—
529	#683	C₂⁴	1	8	yes	—
530	#683	C₂⁴	1	8	yes	—
531	#683	C₂⁴	1	8	yes	—
532	#683	C₂⁴	1	8	yes	—
533	#683	C₂⁴	1	8	yes	—
534	#683	C₂⁴	1	8	yes	—
535	#683	C₂⁴	1	8	yes	—
536	#683	C₂⁴	1	8	yes	—
537	#683	C₂⁴	1	8	yes	—
538	#683	C₂⁴	1	8	yes	—
539	#683	C₂⁴	1	8	yes	—
540	#683	C₂⁴	1	8	yes	—
541	C₄×Dic₅	C₂⁴	1	4	yes	—
542	C₄×Dic₅	C₂⁴	1	8	yes	—
543	C₄×Dic₅	C₂⁴	1	4	yes	—
544	C₄×Dic₅	C₂⁴	1	4	yes	—
545	C₄×Dic₅	C₂⁴	1	4	yes	—
546	C₄×Dic₅	C₂⁴	1	4	yes	—
547	C₄×Dic₅	C₂⁴	1	4	yes	—
548	C₄×Dic₅	C₂⁴	1	8	yes	—
549	C₄×Dic₅	C₂⁴	1	8	yes	—
550	C₂³×D₄	—	5	2	no	—
551	C₂⁴×C₄	—	5	1	no	—
552	#552	—	5	8	no	—
553	#552	—	5	8	no	—
554	#552	—	5	8	no	—
555	#552	—	5	8	no	—
556	#552	—	5	8	no	—
557	#552	—	5	8	no	—
558	#552	—	5	8	no	—
559	#552	—	5	8	no	—
560	#552	—	5	8	no	—
561	#552	—	5	8	no	—
562	#552	—	5	8	no	—
563	#552	—	5	8	no	—
564	#552	—	5	8	no	—
565	#552	—	5	8	no	—
566	#552	—	5	8	no	—
567	#552	C₂×D₅	1	8	yes	complemented
568	#551	—	5	8	no	—
569	#551	—	5	8	no	—
570	#551	—	5	8	no	—
571	#551	—	5	8	no	—
572	#551	—	5	8	no	—
573	#551	—	5	8	no	—
574	#551	—	5	8	no	—
575	#551	—	5	8	no	—
576	#551	—	5	8	no	—
577	#551	—	5	8	no	—
578	#551	—	5	8	no	—
579	#551	—	5	8	no	—
580	#551	—	5	8	no	—
581	#551	—	5	8	no	—
582	#551	—	5	8	no	—
583	#551	C₂×D₅	1	8	yes	complemented
584	#543	—	5	4	no	—
585	#543	—	5	8	no	—
586	#543	—	5	2	no	—
587	#543	—	5	1	no	—
588	#543	C₂×D₅	1	1	yes	characteristic, complemented
589	#539	—	5	8	no	—
590	#539	—	5	8	no	—
591	#539	—	5	8	no	—
592	#539	—	5	8	no	—
593	#539	—	5	8	no	—
594	#539	—	5	4	no	—
595	#539	—	5	4	no	—
596	#539	—	5	8	no	—
597	#539	—	5	4	no	—
598	#539	C₂×D₅	1	4	yes	complemented
599	#534	—	5	2	no	—
600	#534	—	5	4	no	—
601	#534	—	5	4	no	—
602	#534	—	5	4	no	—
603	#534	—	5	1	no	—
604	#534	C₂×D₅	1	1	yes	characteristic
605	#529	—	5	8	no	—
606	#529	—	5	4	no	—
607	#529	—	5	4	no	—
608	#529	—	5	8	no	—
609	#529	—	5	4	no	—
610	#529	—	5	4	no	—
611	#529	—	5	4	no	—
612	#529	—	5	8	no	—
613	#529	—	5	4	no	—
614	#529	—	5	8	no	—
615	#529	—	5	4	no	—
616	#529	C₂×D₅	1	4	yes	complemented
617	C₂×#126	—	5	8	no	—
618	C₂×#126	—	5	8	no	—
619	C₂×#125	—	5	4	no	—
620	C₂×#125	—	5	8	no	—
621	C₂×#124	—	5	4	no	—
622	C₂×#123	—	5	2	no	—
623	C₂×#123	—	5	2	no	—
624	C₂×#123	—	5	8	no	—
625	C₂×#123	—	5	8	no	—
626	C₂×#123	—	5	4	no	—
627	C₂×#123	—	5	4	no	—
628	C₂×#123	—	5	4	no	—
629	C₂×#123	—	5	4	no	—
630	C₂×#123	—	5	4	no	—
631	C₂×#123	—	5	8	no	—
632	C₂×#123	—	5	4	no	—
633	C₂×#123	—	5	2	no	—
634	C₂×#123	—	5	4	no	—
635	C₂×#123	C₂×D₅	1	2	yes	complemented
636	C₂×C₂²⋊Q₈	—	5	4	no	—
637	C₂×C₂²⋊Q₈	—	5	8	no	—
638	C₂×C₂²⋊Q₈	—	5	8	no	—
639	C₂×#121	—	5	4	no	—
640	C₂×#120	—	5	4	no	—
641	#518	—	5	2	no	—
642	#518	—	5	8	no	—
643	#518	—	5	8	no	—
644	#518	—	5	4	no	—
645	#518	—	5	2	no	—
646	#518	—	5	2	no	—
647	#518	—	5	4	no	—
648	#518	C₂×D₅	1	2	yes	complemented
649	C₂×C₄×Q₈	—	5	4	no	—
650	C₂×C₄×D₄	—	5	8	no	—
651	C₂×C₄×D₄	—	5	8	no	—
652	C₂×C₄×D₄	—	5	4	no	—
653	C₂×#117	—	5	1	no	—
654	C₂×#117	—	5	8	no	—
655	C₂×#117	—	5	8	no	—
656	C₂×#117	—	5	4	no	—
657	C₂×#117	—	5	8	no	—
658	C₂×#117	—	5	2	no	—
659	C₂×#117	—	5	1	no	—
660	C₂×#117	—	5	1	no	—
661	C₂×#117	—	5	2	no	—
662	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
663	C₂²×C₄⋊C₄	—	5	2	no	—
664	C₂²×C₄⋊C₄	—	5	4	no	—
665	C₂²×C₂²⋊C₄	—	5	1	no	—
666	C₂²×C₂²⋊C₄	—	5	1	no	—
667	C₂²×C₂²⋊C₄	—	5	2	no	—
668	C₂²×C₂²⋊C₄	—	5	4	no	—
669	C₂²×C₂²⋊C₄	—	5	4	no	—
670	C₂²×C₄²	—	5	2	no	—
671	C₂³×C₅	—	2	4	no	—
672	C₂³×C₅	—	4	2	no	—
673	C₂³×C₅	—	4	4	no	—
674	C₂³×C₅	C₂×#41	1	4	yes	—
675	C₂³×C₅	C₂⁵	1	4	yes	—
676	C₂³×C₅	C₂⁵	1	2	yes	—
677	C₂³×C₅	C₂⁵	1	1	yes	characteristic
678	C₂²×D₅	—	2	4	no	—
679	C₂²×D₅	—	2	8	no	—
680	C₂²×D₅	—	2	4	no	—
681	C₂²×D₅	—	2	8	no	—
682	C₂²×D₅	—	2	16	no	—
683	C₂²×D₅	—	2	8	no	—
684	C₂²×D₅	—	4	16	no	—
685	C₂²×D₅	—	4	4	no	—
686	C₂²×D₅	—	4	2	no	—
687	C₂²×D₅	—	4	8	no	—
688	C₂²×D₅	—	4	4	no	—
689	C₂²×D₅	—	8	16	no	—
690	C₂²×D₅	C₂×#41	1	8	yes	—
691	C₂²×D₅	C₂×#41	1	4	yes	—
692	C₂²×D₅	C₂×#41	1	8	yes	—
693	C₂²×D₅	C₂×#41	1	4	yes	—
694	C₂²×D₅	C₂⁵	1	4	yes	—
695	C₂²×D₅	C₂⁵	1	2	yes	—
696	C₂²×D₅	C₂⁵	1	1	yes	characteristic
697	C₂²×D₅	C₂⁵	1	1	yes	characteristic
698	C₅×Q₈	—	4	4	no	—
699	C₅×D₄	—	2	8	no	—
700	C₅×D₄	—	2	8	no	—
701	C₅×D₄	—	4	4	no	—
702	C₂×C₄×C₅	—	2	8	no	—
703	C₂×C₄×C₅	—	2	2	no	—
704	C₂×C₄×C₅	—	2	2	no	—
705	C₂×C₄×C₅	—	2	4	no	—
706	C₂×C₄×C₅	—	4	4	no	—
707	C₂×C₄×C₅	—	4	8	no	—
708	C₂×C₄×C₅	—	4	2	no	—
709	C₂×C₄×C₅	—	4	2	no	—
710	C₂×C₄×C₅	C₂⁵	1	2	yes	—
711	C₂×C₄×C₅	C₂⁵	1	4	yes	—
712	C₂×C₄×C₅	C₂⁵	1	4	yes	—
713	C₂×C₄×C₅	C₂⁵	1	4	yes	—
714	C₂×C₄×C₅	C₂⁵	1	8	yes	—
715	C₂×C₄×C₅	C₂⁵	1	2	yes	—
716	C₂²⋊D₅	—	2	8	no	—
717	C₂²⋊D₅	—	2	8	no	—
718	C₂²⋊D₅	—	2	8	no	—
719	C₂²⋊D₅	—	2	8	no	—
720	C₂²⋊D₅	—	4	8	no	—
721	C₂×Dic₅	—	2	8	no	—
722	C₂×Dic₅	—	2	2	no	—
723	C₂×Dic₅	—	2	2	no	—
724	C₂×Dic₅	—	2	4	no	—
725	C₂×Dic₅	—	4	4	no	—
726	C₂×Dic₅	—	4	8	no	—
727	C₂×Dic₅	—	4	2	no	—
728	C₂×Dic₅	—	4	2	no	—
729	C₂×Dic₅	C₂⁵	1	2	yes	—
730	C₂×Dic₅	C₂⁵	1	4	yes	—
731	C₂×Dic₅	C₂⁵	1	4	yes	—
732	C₂×Dic₅	C₂⁵	1	4	yes	—
733	C₂×Dic₅	C₂⁵	1	8	yes	—
734	C₂×Dic₅	C₂⁵	1	2	yes	—
735	D₂₀	—	2	8	no	—
736	D₂₀	—	2	8	no	—
737	D₂₀	—	4	4	no	—
738	C₄×D₅	—	2	8	no	—
739	C₄×D₅	—	2	8	no	—
740	C₄×D₅	—	2	4	no	—
741	C₄×D₅	—	2	4	no	—
742	C₄×D₅	—	2	4	no	—
743	C₄×D₅	—	2	4	no	—
744	C₄×D₅	—	2	8	no	—
745	C₄×D₅	—	2	8	no	—
746	C₄×D₅	—	2	8	no	—
747	C₄×D₅	—	2	16	no	—
748	C₄×D₅	—	2	8	no	—
749	C₄×D₅	—	4	8	no	—
750	C₄×D₅	—	4	8	no	—
751	C₄×D₅	—	4	4	no	—
752	C₄×D₅	—	4	8	no	—
753	C₄×D₅	—	4	4	no	—
754	Dic₁₀	—	4	4	no	—
755	Dic₁₀	—	4	8	no	—
756	C₂⁵	—	5	1	no	—
757	C₂⁵	—	5	2	no	—
758	C₂²×Q₈	—	5	4	no	—
759	C₂²×D₄	—	5	2	no	—
760	C₂²×D₄	—	5	2	no	—
761	C₂²×D₄	—	5	4	no	—
762	C₂²×D₄	—	5	4	no	—
763	C₂²×D₄	—	5	4	no	—
764	C₂²×D₄	—	5	4	no	—
765	C₂²×D₄	—	5	4	no	—
766	C₂²×D₄	—	5	2	no	—
767	C₂²×D₄	—	10	16	no	—
768	C₂²×D₄	C₂²×D₅	1	2	yes	—
769	C₂³×C₄	—	5	1	no	—
770	C₂³×C₄	—	5	4	no	—
771	C₂³×C₄	—	5	2	no	—
772	C₂³×C₄	—	5	1	no	—
773	C₂³×C₄	—	5	1	no	—
774	C₂³×C₄	—	5	4	no	—
775	C₂³×C₄	—	5	1	no	—
776	C₂³×C₄	—	5	1	no	—
777	C₂³×C₄	—	5	4	no	—
778	C₂³×C₄	—	5	2	no	—
779	C₂³×C₄	—	5	2	no	—
780	C₂³×C₄	—	5	8	no	—
781	C₂³×C₄	—	10	8	no	—
782	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
783	#126	—	5	8	no	—
784	#126	—	5	8	no	—
785	#126	—	5	8	no	—
786	#126	—	5	8	no	—
787	#126	—	5	8	no	—
788	#126	—	5	8	no	—
789	#126	—	5	8	no	—
790	#126	—	5	8	no	—
791	#126	—	5	8	no	—
792	#126	—	5	8	no	—
793	#126	—	5	8	no	—
794	#126	—	5	8	no	—
795	#126	—	5	8	no	—
796	#126	—	5	8	no	—
797	#126	C₂²×D₅	1	8	yes	complemented
798	#126	C₂²×D₅	1	8	yes	complemented
799	#125	—	5	8	no	—
800	#125	—	5	8	no	—
801	#125	—	5	4	no	—
802	#125	—	5	4	no	—
803	#125	—	5	8	no	—
804	#125	—	5	8	no	—
805	#125	—	5	8	no	—
806	#125	—	5	8	no	—
807	#125	—	5	8	no	—
808	#125	—	5	8	no	—
809	#125	—	5	4	no	—
810	#125	—	5	8	no	—
811	#125	C₂²×D₅	1	4	yes	complemented
812	#125	C₂²×D₅	1	8	yes	complemented
813	#124	—	5	4	no	—
814	#124	—	5	4	no	—
815	#124	—	5	8	no	—
816	#124	—	5	8	no	—
817	#124	—	5	4	no	—
818	#124	C₂²×D₅	1	4	yes	complemented
819	#123	—	5	4	no	—
820	#123	—	5	4	no	—
821	#123	—	5	8	no	—
822	#123	—	5	4	no	—
823	#123	—	5	8	no	—
824	#123	—	5	4	no	—
825	#123	—	5	4	no	—
826	#123	—	5	8	no	—
827	#123	—	5	4	no	—
828	#123	—	5	8	no	—
829	#123	—	5	8	no	—
830	#123	—	5	8	no	—
831	#123	—	5	8	no	—
832	#123	—	5	8	no	—
833	#123	—	5	8	no	—
834	#123	—	5	8	no	—
835	#123	—	5	8	no	—
836	#123	—	5	8	no	—
837	#123	—	5	4	no	—
838	#123	—	5	8	no	—
839	#123	—	5	4	no	—
840	#123	—	5	8	no	—
841	#123	—	5	8	no	—
842	#123	—	5	8	no	—
843	#123	—	5	8	no	—
844	#123	—	5	4	no	—
845	#123	—	5	8	no	—
846	#123	—	5	8	no	—
847	#123	—	5	8	no	—
848	#123	C₂²×D₅	1	8	yes	—
849	#123	C₂²×D₅	1	4	yes	—
850	#123	C₂²×D₅	1	4	yes	complemented
851	#123	C₂²×D₅	1	4	yes	complemented
852	#123	C₂²×D₅	1	8	yes	complemented
853	C₂²⋊Q₈	—	5	4	no	—
854	C₂²⋊Q₈	—	5	8	no	—
855	C₂²⋊Q₈	—	5	8	no	—
856	C₂²⋊Q₈	—	5	4	no	—
857	C₂²⋊Q₈	—	5	8	no	—
858	C₂²⋊Q₈	—	5	8	no	—
859	C₂²⋊Q₈	—	5	8	no	—
860	C₂²⋊Q₈	—	5	4	no	—
861	C₂²⋊Q₈	—	5	8	no	—
862	C₂²⋊Q₈	—	5	8	no	—
863	C₂²⋊Q₈	—	5	8	no	—
864	C₂²⋊Q₈	—	5	8	no	—
865	C₂²⋊Q₈	—	5	8	no	—
866	C₂²⋊Q₈	—	5	8	no	—
867	C₂²⋊Q₈	—	5	8	no	—
868	C₂²⋊Q₈	—	5	8	no	—
869	C₂²⋊Q₈	—	5	8	no	—
870	C₂²⋊Q₈	—	5	8	no	—
871	C₂²⋊Q₈	—	5	8	no	—
872	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
873	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
874	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
875	#121	—	5	4	no	—
876	#121	—	5	8	no	—
877	#121	—	5	4	no	—
878	#121	—	5	4	no	—
879	#121	—	5	8	no	—
880	#121	C₂²×D₅	1	4	yes	—
881	#120	—	5	4	no	—
882	#120	—	5	4	no	—
883	#120	—	5	8	no	—
884	#120	—	5	8	no	—
885	#120	—	5	4	no	—
886	#120	C₂²×D₅	1	4	yes	—
887	C₄×Q₈	—	5	4	no	—
888	C₄×Q₈	—	5	4	no	—
889	C₄×Q₈	—	5	8	no	—
890	C₄×Q₈	—	5	8	no	—
891	C₄×Q₈	—	5	4	no	—
892	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
893	C₄×D₄	—	5	8	no	—
894	C₄×D₄	—	5	8	no	—
895	C₄×D₄	—	5	4	no	—
896	C₄×D₄	—	5	8	no	—
897	C₄×D₄	—	5	8	no	—
898	C₄×D₄	—	5	8	no	—
899	C₄×D₄	—	5	8	no	—
900	C₄×D₄	—	5	8	no	—
901	C₄×D₄	—	5	8	no	—
902	C₄×D₄	—	5	8	no	—
903	C₄×D₄	—	5	4	no	—
904	C₄×D₄	—	5	8	no	—
905	C₄×D₄	—	5	8	no	—
906	C₄×D₄	—	5	8	no	—
907	C₄×D₄	—	5	8	no	—
908	C₄×D₄	—	5	8	no	—
909	C₄×D₄	—	5	8	no	—
910	C₄×D₄	—	5	8	no	—
911	C₄×D₄	—	5	4	no	—
912	C₄×D₄	C₂²×D₅	1	8	yes	—
913	C₄×D₄	C₂²×D₅	1	8	yes	complemented
914	C₄×D₄	C₂²×D₅	1	4	yes	complemented
915	#117	—	5	8	no	—
916	#117	—	5	4	no	—
917	#117	—	5	8	no	—
918	#117	—	5	8	no	—
919	#117	—	5	8	no	—
920	#117	—	5	8	no	—
921	#117	—	5	8	no	—
922	#117	—	5	8	no	—
923	#117	—	5	8	no	—
924	#117	—	5	8	no	—
925	#117	—	5	4	no	—
926	#117	—	5	4	no	—
927	#117	—	5	8	no	—
928	#117	—	5	8	no	—
929	#117	—	5	8	no	—
930	#117	—	5	8	no	—
931	#117	—	5	8	no	—
932	#117	—	5	8	no	—
933	#117	—	5	8	no	—
934	#117	C₂²×D₅	1	8	yes	complemented
935	#117	C₂²×D₅	1	4	yes	complemented
936	#117	C₂²×D₅	1	8	yes	complemented
937	C₂×C₄⋊C₄	—	5	2	no	—
938	C₂×C₄⋊C₄	—	5	2	no	—
939	C₂×C₄⋊C₄	—	5	2	no	—
940	C₂×C₄⋊C₄	—	5	4	no	—
941	C₂×C₄⋊C₄	—	5	4	no	—
942	C₂×C₄⋊C₄	—	5	4	no	—
943	C₂×C₄⋊C₄	—	5	8	no	—
944	C₂×C₄⋊C₄	—	5	8	no	—
945	C₂×C₄⋊C₄	—	5	8	no	—
946	C₂×C₄⋊C₄	—	5	8	no	—
947	C₂×C₄⋊C₄	—	5	8	no	—
948	C₂×C₄⋊C₄	—	5	8	no	—
949	C₂×C₄⋊C₄	—	5	8	no	—
950	C₂×C₄⋊C₄	—	5	8	no	—
951	C₂×C₄⋊C₄	—	5	4	no	—
952	C₂×C₄⋊C₄	—	5	4	no	—
953	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	complemented
954	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	complemented
955	C₂×C₂²⋊C₄	—	5	1	no	—
956	C₂×C₂²⋊C₄	—	5	1	no	—
957	C₂×C₂²⋊C₄	—	5	2	no	—
958	C₂×C₂²⋊C₄	—	5	4	no	—
959	C₂×C₂²⋊C₄	—	5	4	no	—
960	C₂×C₂²⋊C₄	—	5	2	no	—
961	C₂×C₂²⋊C₄	—	5	2	no	—
962	C₂×C₂²⋊C₄	—	5	4	no	—
963	C₂×C₂²⋊C₄	—	5	8	no	—
964	C₂×C₂²⋊C₄	—	5	4	no	—
965	C₂×C₂²⋊C₄	—	5	4	no	—
966	C₂×C₂²⋊C₄	—	5	4	no	—
967	C₂×C₂²⋊C₄	—	5	4	no	—
968	C₂×C₂²⋊C₄	—	5	4	no	—
969	C₂×C₂²⋊C₄	—	5	4	no	—
970	C₂×C₂²⋊C₄	—	5	4	no	—
971	C₂×C₂²⋊C₄	—	5	8	no	—
972	C₂×C₂²⋊C₄	—	5	4	no	—
973	C₂×C₂²⋊C₄	—	5	8	no	—
974	C₂×C₂²⋊C₄	—	5	4	no	—
975	C₂×C₂²⋊C₄	—	5	4	no	—
976	C₂×C₂²⋊C₄	—	5	4	no	—
977	C₂×C₂²⋊C₄	—	5	4	no	—
978	C₂×C₂²⋊C₄	—	5	8	no	—
979	C₂×C₂²⋊C₄	—	5	8	no	—
980	C₂×C₂²⋊C₄	—	5	8	no	—
981	C₂×C₂²⋊C₄	—	5	8	no	—
982	C₂×C₂²⋊C₄	—	5	8	no	—
983	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
986	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
987	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
988	C₂×C₄²	—	5	2	no	—
989	C₂×C₄²	—	5	2	no	—
990	C₂×C₄²	—	5	2	no	—
991	C₂×C₄²	—	5	4	no	—
992	C₂×C₄²	—	5	8	no	—
993	C₂×C₄²	—	5	4	no	—
994	C₂×C₄²	—	5	4	no	—
995	C₂×C₄²	—	5	4	no	—
996	C₂×C₄²	C₂²×D₅	1	2	yes	complemented
997	C₂²×C₅	—	2	2	no	—
998	C₂²×C₅	—	2	4	no	—
999	C₂²×C₅	—	2	4	no	—
1000	C₂²×C₅	—	2	8	no	—
1001	C₂²×C₅	—	4	4	no	—
1002	C₂²×C₅	—	8	4	no	—
1003	C₂²×C₅	C₂²×#41	1	4	yes	—
1004	C₂²×C₅	C₂²×#41	1	2	yes	—
1005	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1006	C₂×D₅	—	2	2	no	—
1007	C₂×D₅	—	2	4	no	—
1008	C₂×D₅	—	2	16	no	—
1009	C₂×D₅	—	2	8	no	—
1010	C₂×D₅	—	2	4	no	—
1011	C₂×D₅	—	2	8	no	—
1012	C₂×D₅	—	4	4	no	—
1013	C₂×D₅	—	4	8	no	—
1014	C₂×D₅	—	4	16	no	—
1015	C₂×D₅	—	8	8	no	—
1016	C₂×D₅	—	8	4	no	—
1017	C₂×D₅	C₂²×#41	1	4	yes	—
1018	C₂×D₅	C₂²×#41	1	2	yes	—
1019	C₂×D₅	C₂²×#41	1	2	yes	—
1020	C₂×D₅	#585	1	4	yes	—
1021	C₄×C₅	—	2	2	no	—
1022	C₄×C₅	—	2	2	no	—
1023	C₄×C₅	—	2	4	no	—
1024	C₄×C₅	—	2	8	no	—
1025	C₄×C₅	—	2	4	no	—
1026	C₄×C₅	—	2	4	no	—
1027	Dic₅	—	2	2	no	—
1028	Dic₅	—	2	2	no	—
1029	Dic₅	—	2	4	no	—
1030	Dic₅	—	2	8	no	—
1031	Dic₅	—	2	4	no	—
1032	Dic₅	—	2	4	no	—
1033	C₂⁴	—	5	2	no	—
1034	C₂⁴	—	5	1	no	—
1035	C₂⁴	—	5	8	no	—
1036	C₂⁴	—	5	1	no	—
1037	C₂⁴	—	5	2	no	—
1038	C₂⁴	—	5	4	no	—
1039	C₂⁴	—	5	4	no	—
1040	C₂⁴	—	5	2	no	—
1041	C₂⁴	—	10	8	no	—
1042	C₂⁴	—	20	4	no	—
1043	C₂⁴	—	20	8	no	—
1044	C₂⁴	C₂³×D₅	1	2	yes	—
1045	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1046	C₂×Q₈	—	5	8	no	—
1047	C₂×Q₈	—	5	4	no	—
1048	C₂×Q₈	—	20	8	no	—
1049	C₂×Q₈	C₂³×D₅	1	4	yes	—
1050	C₂×D₄	—	2	8	no	—
1051	C₂×D₄	—	5	4	no	—
1052	C₂×D₄	—	5	4	no	—
1053	C₂×D₄	—	5	4	no	—
1054	C₂×D₄	—	5	4	no	—
1055	C₂×D₄	—	5	8	no	—
1056	C₂×D₄	—	5	4	no	—
1057	C₂×D₄	—	5	4	no	—
1058	C₂×D₄	—	5	4	no	—
1059	C₂×D₄	—	10	8	no	—
1060	C₂×D₄	—	10	16	no	—
1061	C₂×D₄	—	10	16	no	—
1062	C₂×D₄	—	10	16	no	—
1063	C₂×D₄	—	10	16	no	—
1064	C₂×D₄	—	10	8	no	—
1065	C₂×D₄	—	10	8	no	—
1066	C₂×D₄	—	20	8	no	—
1067	C₂×D₄	C₂³×D₅	1	4	yes	—
1068	C₂×D₄	C₂³×D₅	1	4	yes	—
1069	C₂×D₄	C₂³×D₅	1	4	yes	—
1070	C₂²×C₄	—	2	4	no	—
1071	C₂²×C₄	—	5	1	no	—
1072	C₂²×C₄	—	5	4	no	—
1073	C₂²×C₄	—	5	2	no	—
1074	C₂²×C₄	—	5	1	no	—
1075	C₂²×C₄	—	5	2	no	—
1076	C₂²×C₄	—	5	2	no	—
1077	C₂²×C₄	—	5	4	no	—
1078	C₂²×C₄	—	5	8	no	—
1079	C₂²×C₄	—	5	2	no	—
1080	C₂²×C₄	—	5	4	no	—
1081	C₂²×C₄	—	5	2	no	—
1082	C₂²×C₄	—	5	4	no	—
1083	C₂²×C₄	—	5	4	no	—
1084	C₂²×C₄	—	5	8	no	—
1085	C₂²×C₄	—	5	2	no	—
1086	C₂²×C₄	—	5	4	no	—
1087	C₂²×C₄	—	5	4	no	—
1088	C₂²×C₄	—	5	4	no	—
1089	C₂²×C₄	—	5	2	no	—
1090	C₂²×C₄	—	5	4	no	—
1091	C₂²×C₄	—	5	4	no	—
1092	C₂²×C₄	—	5	8	no	—
1093	C₂²×C₄	—	5	8	no	—
1094	C₂²×C₄	—	5	8	no	—
1095	C₂²×C₄	—	10	16	no	—
1096	C₂²×C₄	—	10	4	no	—
1097	C₂²×C₄	—	10	4	no	—
1098	C₂²×C₄	—	10	16	no	—
1099	C₂²×C₄	—	10	4	no	—
1100	C₂²×C₄	—	10	4	no	—
1101	C₂²×C₄	—	10	8	no	—
1102	C₂²×C₄	—	10	4	no	—
1103	C₂²×C₄	—	20	4	no	—
1104	C₂²×C₄	—	20	16	no	—
1105	C₂²×C₄	—	20	8	no	—
1106	C₂²×C₄	—	20	4	no	—
1107	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₅	1	4	yes	—
1109	C₂²×C₄	C₂³×D₅	1	2	yes	—
1110	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1111	C₂²×C₄	C₂³×D₅	1	2	yes	—
1112	C₂²×C₄	C₂³×D₅	1	2	yes	—
1113	C₂²×C₄	C₂³×D₅	1	4	yes	—
1114	C₂²×C₄	C₂³×D₅	1	8	yes	—
1115	C₄⋊C₄	—	5	8	no	—
1116	C₄⋊C₄	—	5	8	no	—
1117	C₄⋊C₄	—	5	8	no	—
1118	C₄⋊C₄	—	5	8	no	—
1119	C₄⋊C₄	—	5	8	no	—
1120	C₄⋊C₄	—	5	8	no	—
1121	C₄⋊C₄	—	5	8	no	—
1122	C₄⋊C₄	—	5	8	no	—
1123	C₄⋊C₄	—	5	8	no	—
1124	C₄⋊C₄	—	5	8	no	—
1125	C₄⋊C₄	—	5	8	no	—
1126	C₄⋊C₄	—	5	8	no	—
1127	C₄⋊C₄	—	5	8	no	—
1128	C₄⋊C₄	—	5	8	no	—
1129	C₄⋊C₄	—	5	8	no	—
1130	C₄⋊C₄	—	5	8	no	—
1131	C₄⋊C₄	—	5	4	no	—
1132	C₄⋊C₄	—	5	8	no	—
1133	C₄⋊C₄	—	5	4	no	—
1134	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1135	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1136	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1137	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1138	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1139	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1140	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1141	C₂²⋊C₄	—	5	4	no	—
1142	C₂²⋊C₄	—	5	4	no	—
1143	C₂²⋊C₄	—	5	4	no	—
1144	C₂²⋊C₄	—	5	8	no	—
1145	C₂²⋊C₄	—	5	4	no	—
1146	C₂²⋊C₄	—	5	8	no	—
1147	C₂²⋊C₄	—	5	8	no	—
1148	C₂²⋊C₄	—	5	8	no	—
1149	C₂²⋊C₄	—	5	8	no	—
1150	C₂²⋊C₄	—	5	8	no	—
1151	C₂²⋊C₄	—	5	8	no	—
1152	C₂²⋊C₄	—	5	8	no	—
1153	C₂²⋊C₄	—	5	8	no	—
1154	C₂²⋊C₄	—	5	8	no	—
1155	C₂²⋊C₄	—	5	8	no	—
1156	C₂²⋊C₄	—	5	8	no	—
1157	C₂²⋊C₄	—	5	8	no	—
1158	C₂²⋊C₄	—	5	8	no	—
1159	C₂²⋊C₄	—	5	8	no	—
1160	C₂²⋊C₄	—	5	8	no	—
1161	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1162	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1163	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1164	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1165	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1166	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1167	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1168	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1169	C₄²	—	5	4	no	—
1170	C₄²	—	5	4	no	—
1171	C₄²	—	5	4	no	—
1172	C₄²	—	5	4	no	—
1173	C₄²	—	5	4	no	—
1174	C₄²	—	5	4	no	—
1175	C₄²	—	5	8	no	—
1176	C₄²	—	5	8	no	—
1177	C₄²	—	5	8	no	—
1178	C₄²	C₂³×D₅	1	4	yes	—
1179	C₄²	C₂³×D₅	1	4	yes	—
1180	C₄²	C₂³×D₅	1	8	yes	—
1181	C₂×C₅	—	2	4	no	—
1182	C₂×C₅	—	2	2	no	—
1183	C₂×C₅	—	4	4	no	—
1184	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1185	C₂×C₅	C₂×#585	1	2	yes	—
1186	D₅	—	2	4	no	—
1187	D₅	—	2	2	no	—
1188	D₅	—	4	4	no	—
1189	D₅	#3491	1	4	yes	direct product factor
1190	C₂³	—	2	4	no	—
1191	C₂³	—	4	2	no	—
1192	C₂³	—	4	4	no	—
1193	C₂³	—	5	1	no	—
1194	C₂³	—	5	8	no	—
1195	C₂³	—	5	4	no	—
1196	C₂³	—	5	2	no	—
1197	C₂³	—	5	1	no	—
1198	C₂³	—	5	4	no	—
1199	C₂³	—	5	8	no	—
1200	C₂³	—	5	4	no	—
1201	C₂³	—	10	4	no	—
1202	C₂³	—	10	8	no	—
1203	C₂³	—	10	16	no	—
1204	C₂³	—	10	8	no	—
1205	C₂³	—	10	8	no	—
1206	C₂³	—	10	4	no	—
1207	C₂³	—	20	2	no	—
1208	C₂³	—	20	4	no	—
1209	C₂³	—	20	4	no	—
1210	C₂³	—	20	8	no	—
1211	C₂³	—	20	16	no	—
1212	C₂³	—	40	16	no	—
1213	C₂³	D₅×#41	1	4	yes	—
1214	C₂³	C₂⁴×D₅	1	4	yes	—
1215	C₂³	C₂⁴×D₅	1	2	yes	—
1216	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1217	Q₈	—	4	4	no	—
1218	Q₈	—	20	8	no	—
1219	Q₈	—	20	4	no	—
1220	D₄	—	2	8	no	—
1221	D₄	—	2	8	no	—
1222	D₄	—	4	4	no	—
1223	D₄	—	10	8	no	—
1224	D₄	—	10	8	no	—
1225	D₄	—	10	8	no	—
1226	D₄	—	10	8	no	—
1227	D₄	—	10	8	no	—
1228	D₄	—	10	8	no	—
1229	D₄	—	20	4	no	—
1230	D₄	—	20	8	no	—
1231	C₂×C₄	—	2	8	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	2	2	no	—
1234	C₂×C₄	—	2	4	no	—
1235	C₂×C₄	—	4	2	no	—
1236	C₂×C₄	—	4	8	no	—
1237	C₂×C₄	—	4	4	no	—
1238	C₂×C₄	—	4	2	no	—
1239	C₂×C₄	—	5	2	no	—
1240	C₂×C₄	—	5	4	no	—
1241	C₂×C₄	—	5	4	no	—
1242	C₂×C₄	—	5	4	no	—
1243	C₂×C₄	—	5	8	no	—
1244	C₂×C₄	—	5	2	no	—
1245	C₂×C₄	—	10	4	no	—
1246	C₂×C₄	—	10	4	no	—
1247	C₂×C₄	—	10	8	no	—
1248	C₂×C₄	—	10	8	no	—
1249	C₂×C₄	—	10	4	no	—
1250	C₂×C₄	—	10	4	no	—
1251	C₂×C₄	—	10	8	no	—
1252	C₂×C₄	—	10	8	no	—
1253	C₂×C₄	—	10	8	no	—
1254	C₂×C₄	—	10	16	no	—
1255	C₂×C₄	—	10	8	no	—
1256	C₂×C₄	—	10	8	no	—
1257	C₂×C₄	—	10	2	no	—
1258	C₂×C₄	—	10	2	no	—
1259	C₂×C₄	—	10	4	no	—
1260	C₂×C₄	—	20	4	no	—
1261	C₂×C₄	—	20	8	no	—
1262	C₂×C₄	—	20	8	no	—
1263	C₂×C₄	—	20	8	no	—
1264	C₂×C₄	—	20	4	no	—
1265	C₂×C₄	—	20	2	no	—
1266	C₂×C₄	—	20	8	no	—
1267	C₂×C₄	—	20	4	no	—
1268	C₂×C₄	—	20	2	no	—
1269	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1270	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1271	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1272	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1273	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1274	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1275	C₅	C₂×#3491	1	1	yes	characteristic, complemented, Sylow
1276	C₂²	—	2	2	no	—
1277	C₂²	—	2	4	no	—
1278	C₂²	—	2	4	no	—
1279	C₂²	—	2	8	no	—
1280	C₂²	—	4	4	no	—
1281	C₂²	—	5	2	no	—
1282	C₂²	—	5	4	no	—
1283	C₂²	—	5	4	no	—
1284	C₂²	—	5	2	no	—
1285	C₂²	—	8	4	no	—
1286	C₂²	—	10	16	no	—
1287	C₂²	—	10	8	no	—
1288	C₂²	—	10	2	no	—
1289	C₂²	—	10	4	no	—
1290	C₂²	—	10	4	no	—
1291	C₂²	—	10	8	no	—
1292	C₂²	—	20	8	no	—
1293	C₂²	—	20	4	no	—
1294	C₂²	—	20	16	no	—
1295	C₂²	—	40	4	no	—
1296	C₂²	—	40	8	no	—
1297	C₂²	C₂×D₅×#41	1	4	yes	—
1298	C₂²	C₂×D₅×#41	1	2	yes	—
1299	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1300	C₄	—	2	2	no	—
1301	C₄	—	2	2	no	—
1302	C₄	—	2	4	no	—
1303	C₄	—	2	4	no	—
1304	C₄	—	2	8	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	10	2	no	—
1307	C₄	—	10	2	no	—
1308	C₄	—	10	4	no	—
1309	C₄	—	10	4	no	—
1310	C₄	—	10	8	no	—
1311	C₄	—	10	4	no	—
1312	C₂	—	2	4	no	—
1313	C₂	—	2	2	no	—
1314	C₂	—	4	4	no	—
1315	C₂	—	5	4	no	—
1316	C₂	—	10	4	no	—
1317	C₂	—	10	2	no	—
1318	C₂	—	20	4	no	—
1319	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1320	C₂	D₅×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3491	C₂
prime radical	D₅×#534	C₂
hypercenter	#3491	D₅
hypocenter	C₅	C₂×#3491
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3491

Complements

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

N	H ≅ G/N	type
1. C₅×#3491	C₂	semidirect
2. #10618760	C₂	semidirect
3. D₅×#552	C₂	semidirect
4. #10618717	C₂	semidirect
5. D₅×#551	C₂	semidirect
6. D₅×#543	C₂	semidirect
7. #10618474	C₂	semidirect
8. #10618354	C₂	semidirect
9. D₅×#539	C₂	semidirect
11. #10618198	C₂	semidirect
12. #10618056	C₂	semidirect
13. D₅×#529	C₂	semidirect
14. C₂×D₅×#123	C₂	semidirect
15. #10617902	C₂	semidirect
16. D₅×#518	C₂	semidirect
17. #10617760	C₂	semidirect
18. #10617646	C₂	semidirect
19. C₂×D₅×#117	C₂	semidirect
22. C₅×#552	C₂²	semidirect
23. C₅×#551	C₂²	semidirect
24. C₅×#543	C₂²	semidirect
25. C₅×#539	C₂²	semidirect
27. C₅×#529	C₂²	semidirect
28. C₂×C₅×#123	C₂²	semidirect
29. C₅×#518	C₂²	semidirect
30. C₂×C₅×#117	C₂²	semidirect
32. #66132	C₂²	semidirect
33. C₂×#4081	C₂²	semidirect
34. C₂×#4075	C₂²	semidirect
35. C₂×#4072	C₂²	semidirect
36. #66042	C₂²	semidirect
37. #66042	C₂²	semidirect
38. #66041	C₂²	semidirect
39. #66040	C₂²	semidirect
40. #66039	C₂²	semidirect
41. #66039	C₂²	semidirect
42. D₅×#126	C₂²	semidirect
43. D₅×#126	C₂²	semidirect
44. #66028	C₂²	semidirect
45. #66027	C₂²	semidirect
46. #66027	C₂²	semidirect
47. #66026	C₂²	semidirect
48. #66025	C₂²	semidirect
49. D₅×#125	C₂²	semidirect
50. D₅×#125	C₂²	semidirect
51. #66014	C₂²	semidirect
52. #66013	C₂²	semidirect
53. D₅×#124	C₂²	semidirect
54. #65999	C₂²	semidirect
55. #65994	C₂²	semidirect
56. #65993	C₂²	semidirect
57. #65992	C₂²	semidirect
58. #65992	C₂²	semidirect
62. D₅×#123	C₂²	semidirect
63. D₅×#123	C₂²	semidirect
64. D₅×#123	C₂²	semidirect
65. D₅×#123	C₂²	semidirect
66. D₅×#123	C₂²	semidirect
67. D₅×#123	C₂²	semidirect
68. #65984	C₂²	semidirect
69. #65984	C₂²	semidirect
70. #65983	C₂²	semidirect
71. #65979	C₂²	semidirect
72. #65976	C₂²	semidirect
73. #65973	C₂²	semidirect
74. #65972	C₂²	semidirect
75. #65971	C₂²	semidirect
76. #65971	C₂²	semidirect
77. #65968	C₂²	semidirect
78. #65968	C₂²	semidirect
79. D₅×C₂²⋊Q₈	C₂²	semidirect
80. D₅×C₂²⋊Q₈	C₂²	semidirect
81. D₅×C₂²⋊Q₈	C₂²	semidirect
82. #65958	C₂²	semidirect
85. #65936	C₂²	semidirect
86. #65934	C₂²	semidirect
89. #65921	C₂²	semidirect
90. #65915	C₂²	semidirect
91. #65914	C₂²	semidirect
92. C₄×Q₈×D₅	C₂²	semidirect
93. #65898	C₂²	semidirect
94. #65891	C₂²	semidirect
95. #65890	C₂²	semidirect
96. #65890	C₂²	semidirect
97. #65879	C₂²	semidirect
98. #65879	C₂²	semidirect
100. C₄×D₄×D₅	C₂²	semidirect
101. C₄×D₄×D₅	C₂²	semidirect
102. #65875	C₂²	semidirect
103. #65872	C₂²	semidirect
104. #65865	C₂²	semidirect
105. #65865	C₂²	semidirect
106. #65863	C₂²	semidirect
107. #65862	C₂²	semidirect
108. #65861	C₂²	semidirect
109. #65861	C₂²	semidirect
110. #65855	C₂²	semidirect
111. D₅×#117	C₂²	semidirect
112. D₅×#117	C₂²	semidirect
113. D₅×#117	C₂²	semidirect
114. D₅×#117	C₂²	semidirect
115. #65849	C₂²	semidirect
116. #65847	C₂²	semidirect
117. C₂×#4040	C₂²	semidirect
118. C₂×#4038	C₂²	semidirect
119. C₂×D₅×C₄⋊C₄	C₂²	semidirect
120. C₂×D₅×C₄⋊C₄	C₂²	semidirect
121. #65829	C₂²	semidirect
122. #65829	C₂²	semidirect
124. C₂×#4032	C₂²	semidirect
125. C₂×#4029	C₂²	semidirect
126. #65820	C₂²	semidirect
127. #65820	C₂²	semidirect
128. #65820	C₂²	semidirect
132. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
133. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
134. #65817	C₂²	semidirect
135. #65817	C₂²	semidirect
136. C₂×#4023	C₂²	semidirect
137. C₂×#4023	C₂²	semidirect
138. #65813	C₂²	semidirect
139. C₂×#4018	C₂²	semidirect
140. C₂×C₄²×D₅	C₂²	semidirect
169. C₅×#126	C₂³	semidirect
170. C₅×#126	C₂³	semidirect
171. C₅×#125	C₂³	semidirect
172. C₅×#125	C₂³	semidirect
173. C₅×#124	C₂³	semidirect
176. C₅×#123	C₂³	semidirect
177. C₅×#123	C₂³	semidirect
178. C₅×#123	C₂³	semidirect
179. C₅×C₂²⋊Q₈	C₂³	semidirect
180. C₅×C₂²⋊Q₈	C₂³	semidirect
181. C₅×C₂²⋊Q₈	C₂³	semidirect
184. C₄×C₅×Q₈	C₂³	semidirect
186. C₄×C₅×D₄	C₂³	semidirect
187. C₄×C₅×D₄	C₂³	semidirect
188. C₅×#117	C₂³	semidirect
189. C₅×#117	C₂³	semidirect
190. C₅×#117	C₂³	semidirect
191. C₂×C₅×C₄⋊C₄	C₂³	semidirect
192. C₂×C₅×C₄⋊C₄	C₂³	semidirect
196. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
197. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
198. C₂×C₄²×C₅	C₂³	semidirect
203. C₂×C₂²⋊Dic₅	C₂³	semidirect
204. C₂×C₂²⋊Dic₅	C₂³	semidirect
205. #4093	C₂³	semidirect
206. #4092	C₂³	semidirect
207. #4092	C₂³	semidirect
208. #4092	C₂³	semidirect
209. Q₈×Dic₅	C₂³	semidirect
214. #4082	C₂³	semidirect
217. #4081	C₂³	semidirect
218. #4081	C₂³	semidirect
219. #4081	C₂³	semidirect
221. D₄×Dic₅	C₂³	semidirect
222. D₄×Dic₅	C₂³	semidirect
226. #4075	C₂³	semidirect
227. #4075	C₂³	semidirect
228. #4075	C₂³	semidirect
231. C₄×C₂²⋊D₅	C₂³	semidirect
232. C₄×C₂²⋊D₅	C₂³	semidirect
233. C₄×C₂²⋊D₅	C₂³	semidirect
237. C₂×#685	C₂³	semidirect
238. C₂×#685	C₂³	semidirect
239. C₂×#685	C₂³	semidirect
240. #4072	C₂³	semidirect
241. #4072	C₂³	semidirect
242. #4072	C₂³	semidirect
243. C₂×C₄⋊Dic₅	C₂³	semidirect
244. C₂×C₄⋊Dic₅	C₂³	semidirect
245. #4070	C₂³	semidirect
246. #4070	C₂³	semidirect
247. #4070	C₂³	semidirect
248. C₂×#683	C₂³	semidirect
249. C₂×#683	C₂³	semidirect
250. C₂×#683	C₂³	semidirect
251. C₂×#683	C₂³	semidirect
252. C₂×C₄×Dic₅	C₂³	semidirect
253. C₂×C₄×Dic₅	C₂³	semidirect
254. C₂×C₄×Dic₅	C₂³	semidirect
255. #4044	C₂³	semidirect
256. #4044	C₂³	semidirect
257. #4044	C₂³	semidirect
258. #4044	C₂³	semidirect
259. #4044	C₂³	semidirect
260. #4044	C₂³	semidirect
261. #4043	C₂³	semidirect
262. #4043	C₂³	semidirect
263. #4043	C₂³	semidirect
264. #4042	C₂³	semidirect
265. #4042	C₂³	semidirect
266. #4042	C₂³	semidirect
267. #4042	C₂³	semidirect
268. #4042	C₂³	semidirect
273. #4040	C₂³	semidirect
274. #4040	C₂³	semidirect
275. #4040	C₂³	semidirect
276. #4040	C₂³	semidirect
278. #4039	C₂³	semidirect
279. #4039	C₂³	semidirect
280. #4038	C₂³	semidirect
281. #4038	C₂³	semidirect
282. #4038	C₂³	semidirect
283. #4038	C₂³	semidirect
284. #4038	C₂³	semidirect
292. D₅×C₄⋊C₄	C₂³	semidirect
293. D₅×C₄⋊C₄	C₂³	semidirect
294. D₅×C₄⋊C₄	C₂³	semidirect
295. #4036	C₂³	semidirect
296. #4036	C₂³	semidirect
297. #4036	C₂³	semidirect
298. #4036	C₂³	semidirect
299. #4035	C₂³	semidirect
300. #4035	C₂³	semidirect
301. #4035	C₂³	semidirect
302. #4035	C₂³	semidirect
303. #4035	C₂³	semidirect
304. #4035	C₂³	semidirect
305. #4033	C₂³	semidirect
306. #4033	C₂³	semidirect
309. #4032	C₂³	semidirect
310. #4032	C₂³	semidirect
311. #4032	C₂³	semidirect
312. #4031	C₂³	semidirect
313. #4031	C₂³	semidirect
318. #4029	C₂³	semidirect
319. #4029	C₂³	semidirect
320. #4029	C₂³	semidirect
321. #4029	C₂³	semidirect
326. #4027	C₂³	semidirect
327. #4027	C₂³	semidirect
328. #4027	C₂³	semidirect
341. D₅×C₂²⋊C₄	C₂³	semidirect
342. D₅×C₂²⋊C₄	C₂³	semidirect
343. D₅×C₂²⋊C₄	C₂³	semidirect
344. D₅×C₂²⋊C₄	C₂³	semidirect
345. D₅×C₂²⋊C₄	C₂³	semidirect
346. #4025	C₂³	semidirect
347. #4025	C₂³	semidirect
348. #4025	C₂³	semidirect
349. #4025	C₂³	semidirect
350. #4025	C₂³	semidirect
351. #4025	C₂³	semidirect
352. #4024	C₂³	semidirect
353. #4024	C₂³	semidirect
354. #4024	C₂³	semidirect
355. #4024	C₂³	semidirect
356. #4024	C₂³	semidirect
357. #4023	C₂³	semidirect
358. #4023	C₂³	semidirect
359. #4023	C₂³	semidirect
360. #4023	C₂³	semidirect
361. #4023	C₂³	semidirect
362. #4023	C₂³	semidirect
363. #4022	C₂³	semidirect
364. #4022	C₂³	semidirect
365. #4021	C₂³	semidirect
367. C₄×D₂₀	C₂³	semidirect
368. C₄×D₂₀	C₂³	semidirect
369. #4018	C₂³	semidirect
370. #4018	C₂³	semidirect
371. #4018	C₂³	semidirect
372. #4018	C₂³	semidirect
373. #4018	C₂³	semidirect
377. C₄²×D₅	C₂³	semidirect
378. C₄²×D₅	C₂³	semidirect
379. #4016	C₂³	semidirect
380. #4016	C₂³	semidirect
381. C₄×Dic₁₀	C₂³	semidirect
382. C₄×Dic₁₀	C₂³	semidirect
392. #3491	D₅	direct (N × H)
567. #552	C₂×D₅	semidirect
583. #551	C₂×D₅	semidirect
588. #543	C₂×D₅	semidirect
598. #539	C₂×D₅	semidirect
616. #529	C₂×D₅	semidirect
635. C₂×#123	C₂×D₅	semidirect
648. #518	C₂×D₅	semidirect
662. C₂×#117	C₂×D₅	semidirect
797. #126	C₂²×D₅	semidirect
798. #126	C₂²×D₅	semidirect
811. #125	C₂²×D₅	semidirect
812. #125	C₂²×D₅	semidirect
818. #124	C₂²×D₅	semidirect
850. #123	C₂²×D₅	semidirect
851. #123	C₂²×D₅	semidirect
852. #123	C₂²×D₅	semidirect
872. C₂²⋊Q₈	C₂²×D₅	semidirect
873. C₂²⋊Q₈	C₂²×D₅	semidirect
874. C₂²⋊Q₈	C₂²×D₅	semidirect
892. C₄×Q₈	C₂²×D₅	semidirect
913. C₄×D₄	C₂²×D₅	semidirect
914. C₄×D₄	C₂²×D₅	semidirect
934. #117	C₂²×D₅	semidirect
935. #117	C₂²×D₅	semidirect
936. #117	C₂²×D₅	semidirect
953. C₂×C₄⋊C₄	C₂²×D₅	semidirect
954. C₂×C₄⋊C₄	C₂²×D₅	semidirect
986. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
987. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
996. C₂×C₄²	C₂²×D₅	semidirect
1189. D₅	#3491	direct (N × H)
1275. C₅	C₂×#3491	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3491	2
#10618760	2
D₅×#552	2
#10618717	2
D₅×#551	2
D₅×#543	2
#10618474	2
#10618354	2
D₅×#539	2
D₅×#534	2
#10618198	2
#10618056	2
D₅×#529	2
C₂×D₅×#123	2
#10617902	2
D₅×#518	2
#10617760	2
#10617646	2
C₂×D₅×#117	2
C₂×#3491	5

Subgroups — D5×#3491 #13007346

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3491 #13007346