Subgroups — D₅×#3508 #13007651

Order 1280.

8622 conjugacy classes of subgroups.

The subgroup lattice has 1284 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#559	C₂	1	4	yes	maximal, complemented
3	#10618952	C₂	1	4	yes	maximal, complemented
4	D₅×#550	C₂	1	4	yes	maximal, complemented
5	#10618672	C₂	1	4	yes	maximal, complemented
6	D₅×#546	C₂	1	8	yes	maximal, complemented
7	#10618534	C₂	1	8	yes	maximal, complemented
8	#10618387	C₂	1	4	yes	maximal, complemented
9	D₅×#540	C₂	1	4	yes	maximal, complemented
10	D₅×#535	C₂	1	2	yes	maximal, complemented
11	#10618220	C₂	1	2	yes	maximal, complemented
12	D₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
13	#10618162	C₂	1	1	yes	maximal, characteristic, complemented
14	#10618146	C₂	1	4	yes	maximal, complemented
15	D₅×#532	C₂	1	4	yes	maximal, complemented
16	C₂×D₅×#127	C₂	1	1	yes	maximal, characteristic, complemented
17	#10618091	C₂	1	1	yes	maximal, characteristic, complemented
18	D₅×#518	C₂	1	2	yes	maximal, complemented
19	#10617763	C₂	1	2	yes	maximal, complemented
20	#10617749	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×D₅×#41	C₂²	1	1	yes	characteristic
23	C₂×D₅×#41	C₂²	1	8	yes	complemented
24	C₂²×D₄×D₅	C₂²	1	2	yes	—
25	C₂²×D₄×D₅	C₂²	1	4	yes	—
26	C₅×#559	C₂²	1	4	yes	complemented
27	C₅×#550	C₂²	1	4	yes	complemented
28	C₅×#546	C₂²	1	8	yes	complemented
29	C₅×#540	C₂²	1	4	yes	complemented
30	C₅×#535	C₂²	1	2	yes	complemented
31	C₅×#533	C₂²	1	1	yes	characteristic, complemented
32	C₅×#532	C₂²	1	4	yes	complemented
33	C₂×C₅×#127	C₂²	1	1	yes	characteristic, complemented
34	C₅×#518	C₂²	1	2	yes	complemented
35	C₄×C₅×#41	C₂²	1	1	yes	characteristic, complemented
36	#66168	C₂²	1	8	yes	complemented
37	#66166	C₂²	1	8	yes	complemented
38	#66164	C₂²	1	2	yes	complemented
39	#66163	C₂²	1	8	yes	complemented
40	#41×Dic₅	C₂²	1	1	yes	characteristic, complemented
41	#66140	C₂²	1	8	yes	complemented
42	#66139	C₂²	1	2	yes	complemented
43	C₂×#4086	C₂²	1	2	yes	complemented
44	C₂×#4086	C₂²	1	4	yes	complemented
45	#66132	C₂²	1	2	yes	complemented
46	#66062	C₂²	1	2	yes	complemented
47	#66059	C₂²	1	4	yes	complemented
48	D₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
49	#66053	C₂²	1	4	yes	complemented
50	#66052	C₂²	1	4	yes	complemented
51	#66052	C₂²	1	8	yes	complemented
52	#66050	C₂²	1	4	yes	complemented
53	#66049	C₂²	1	4	yes	complemented
54	D₅×#127	C₂²	1	2	yes	—
55	D₅×#127	C₂²	1	2	yes	—
56	D₅×#127	C₂²	1	4	yes	—
57	D₅×#127	C₂²	1	2	yes	complemented
58	D₅×#127	C₂²	1	2	yes	complemented
59	D₅×#127	C₂²	1	4	yes	complemented
60	D₅×#127	C₂²	1	4	yes	complemented
61	#66047	C₂²	1	4	yes	complemented
62	#66032	C₂²	1	4	yes	complemented
63	#66022	C₂²	1	2	yes	complemented
64	D₅×#125	C₂²	1	2	yes	complemented
65	#66015	C₂²	1	8	yes	complemented
66	#66015	C₂²	1	8	yes	complemented
67	#66010	C₂²	1	8	yes	complemented
68	#66008	C₂²	1	4	yes	complemented
69	D₅×#124	C₂²	1	8	yes	complemented
70	D₅×#124	C₂²	1	4	yes	complemented
71	#66002	C₂²	1	8	yes	complemented
72	#65998	C₂²	1	16	yes	complemented
73	#65997	C₂²	1	16	yes	complemented
74	#65988	C₂²	1	16	yes	complemented
75	D₅×#123	C₂²	1	16	yes	complemented
76	#65964	C₂²	1	8	yes	complemented
77	D₅×C₂²⋊Q₈	C₂²	1	4	yes	—
78	#65956	C₂²	1	4	yes	complemented
79	#65953	C₂²	1	8	yes	complemented
80	#65949	C₂²	1	16	yes	complemented
81	#65946	C₂²	1	8	yes	complemented
82	#65944	C₂²	1	16	yes	complemented
83	#65941	C₂²	1	8	yes	complemented
84	D₅×#121	C₂²	1	8	yes	complemented
85	D₅×#121	C₂²	1	16	yes	complemented
86	D₅×#121	C₂²	1	8	yes	complemented
87	#65933	C₂²	1	16	yes	complemented
88	#65933	C₂²	1	8	yes	complemented
89	#65930	C₂²	1	8	yes	complemented
90	#65930	C₂²	1	8	yes	complemented
91	#65926	C₂²	1	8	yes	complemented
92	#65925	C₂²	1	16	yes	complemented
93	D₅×#120	C₂²	1	8	yes	—
94	#65919	C₂²	1	4	yes	complemented
95	#65919	C₂²	1	4	yes	complemented
96	#65912	C₂²	1	4	yes	complemented
97	#65911	C₂²	1	4	yes	complemented
98	C₄×#713	C₂²	1	2	yes	complemented
99	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
100	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
101	#65896	C₂²	1	8	yes	complemented
102	#65893	C₂²	1	8	yes	complemented
103	#65893	C₂²	1	8	yes	complemented
104	#65888	C₂²	1	8	yes	complemented
105	#65887	C₂²	1	4	yes	complemented
106	#65887	C₂²	1	8	yes	complemented
107	#65884	C₂²	1	8	yes	complemented
108	#65882	C₂²	1	8	yes	complemented
109	#65882	C₂²	1	8	yes	complemented
110	#65879	C₂²	1	8	yes	complemented
111	#65879	C₂²	1	8	yes	complemented
112	C₄×D₄×D₅	C₂²	1	4	yes	—
113	C₄×D₄×D₅	C₂²	1	8	yes	complemented
114	C₄×D₄×D₅	C₂²	1	8	yes	complemented
115	C₄×D₄×D₅	C₂²	1	2	yes	complemented
116	C₄×D₄×D₅	C₂²	1	8	yes	complemented
117	C₄×#711	C₂²	1	4	yes	complemented
118	C₄×#711	C₂²	1	2	yes	complemented
119	#65869	C₂²	1	4	yes	complemented
120	#65859	C₂²	1	2	yes	complemented
121	#65856	C₂²	1	1	yes	characteristic, complemented
122	#65856	C₂²	1	2	yes	complemented
123	#65855	C₂²	1	2	yes	complemented
124	#65855	C₂²	1	2	yes	complemented
125	D₅×#117	C₂²	1	2	yes	—
126	D₅×#117	C₂²	1	1	yes	characteristic
127	D₅×#117	C₂²	1	2	yes	complemented
128	#65851	C₂²	1	2	yes	complemented
129	#65824	C₂²	1	16	yes	complemented
130	#65820	C₂²	1	8	yes	complemented
131	C₂×D₅×C₂²⋊C₄	C₂²	1	8	yes	—
132	#65811	C₂²	1	4	yes	complemented
133	C₂×#4020	C₂²	1	1	yes	characteristic, complemented
134	C₄×#709	C₂²	1	1	yes	characteristic, complemented
135	C₄×#709	C₂²	1	2	yes	complemented
136	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
137	C₂×C₄²×D₅	C₂²	1	2	yes	complemented
138	#65804	C₂²	1	1	yes	characteristic, complemented
139	C₂×#3508	—	5	1	no	maximal, Sylow
140	C₂⁴×D₅	C₂³	1	4	yes	—
141	C₂×C₅×#41	C₂³	1	1	yes	characteristic
142	C₂×C₅×#41	C₂³	1	8	yes	complemented
143	C₂²×C₅×D₄	C₂³	1	2	yes	—
144	C₂²×C₅×D₄	C₂³	1	4	yes	—
145	C₂²×C₂²⋊D₅	C₂³	1	4	yes	—
146	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
147	D₅×#41	—	2	8	no	—
148	D₅×#41	—	4	32	no	—
149	C₂×#713	C₂³	1	1	yes	characteristic
150	C₂×#713	C₂³	1	8	yes	complemented
151	C₂×Q₈×D₅	C₂³	1	4	yes	—
152	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
153	C₂×#711	C₂³	1	1	yes	characteristic
154	C₂×#711	C₂³	1	2	yes	—
155	C₂×#711	C₂³	1	8	yes	complemented
156	C₂×#711	C₂³	1	16	yes	complemented
157	C₂×D₄×D₅	—	2	16	no	—
158	C₂×D₄×D₅	—	4	16	no	—
159	C₂×D₄×D₅	C₂³	1	4	yes	—
160	C₂×D₄×D₅	C₂³	1	4	yes	—
161	C₂×D₄×D₅	C₂³	1	8	yes	—
162	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
163	C₂×D₄×D₅	C₂³	1	4	yes	—
164	C₂×D₄×D₅	C₂³	1	4	yes	—
165	C₂×D₄×D₅	C₂³	1	2	yes	—
166	C₂×D₄×D₅	C₂³	1	8	yes	—
167	C₂×D₄×D₅	C₂³	1	8	yes	—
168	C₂×D₄×D₅	C₂³	1	8	yes	—
169	C₂×D₄×D₅	C₂³	1	16	yes	—
170	C₂×#709	C₂³	1	1	yes	characteristic
171	C₂×#709	C₂³	1	2	yes	—
172	C₂×#709	C₂³	1	8	yes	complemented
173	C₂×#709	C₂³	1	16	yes	complemented
174	C₂²×D₂₀	C₂³	1	2	yes	—
175	C₂²×D₂₀	C₂³	1	4	yes	—
176	C₂²×C₄×D₅	C₂³	1	2	yes	—
177	C₂²×C₄×D₅	C₂³	1	2	yes	—
178	C₂²×C₄×D₅	C₂³	1	4	yes	—
179	C₂²×C₄×D₅	C₂³	1	16	yes	—
180	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
181	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
182	C₅×#127	C₂³	1	2	yes	—
183	C₅×#127	C₂³	1	4	yes	—
184	C₅×#127	C₂³	1	2	yes	—
185	C₅×#127	C₂³	1	4	yes	complemented
186	C₅×#125	C₂³	1	2	yes	complemented
187	C₅×#124	C₂³	1	8	yes	complemented
188	C₅×#124	C₂³	1	4	yes	complemented
189	C₅×#123	C₂³	1	16	yes	complemented
190	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
191	C₅×#121	C₂³	1	8	yes	complemented
192	C₅×#121	C₂³	1	8	yes	complemented
193	C₅×#121	C₂³	1	16	yes	complemented
194	C₅×#120	C₂³	1	8	yes	—
195	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
196	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
197	C₄×C₅×D₄	C₂³	1	4	yes	—
198	C₄×C₅×D₄	C₂³	1	2	yes	complemented
199	C₄×C₅×D₄	C₂³	1	8	yes	complemented
200	C₄×C₅×D₄	C₂³	1	8	yes	complemented
201	C₄×C₅×D₄	C₂³	1	8	yes	complemented
202	C₅×#117	C₂³	1	2	yes	—
203	C₅×#117	C₂³	1	1	yes	characteristic
204	C₅×#117	C₂³	1	2	yes	complemented
205	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
206	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₅	C₂³	1	2	yes	complemented
208	#4099	C₂³	1	8	yes	—
209	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	—
210	#4093	C₂³	1	8	yes	complemented
211	#4093	C₂³	1	4	yes	complemented
212	#4092	C₂³	1	4	yes	—
213	Q₈×Dic₅	C₂³	1	4	yes	complemented
214	Q₈×Dic₅	C₂³	1	2	yes	complemented
215	#4090	C₂³	1	4	yes	complemented
216	#4086	C₂³	1	8	yes	—
217	#4086	C₂³	1	4	yes	—
218	#4086	C₂³	1	8	yes	—
219	#4086	C₂³	1	8	yes	—
220	#4086	C₂³	1	4	yes	—
221	#4086	C₂³	1	8	yes	—
222	#4086	C₂³	1	8	yes	—
223	#4086	C₂³	1	4	yes	complemented
224	#4086	C₂³	1	4	yes	complemented
225	#4086	C₂³	1	16	yes	complemented
226	#4085	C₂³	1	16	yes	complemented
227	#4085	C₂³	1	16	yes	complemented
228	#4085	C₂³	1	16	yes	complemented
229	#4085	C₂³	1	16	yes	complemented
230	#4084	C₂³	1	8	yes	complemented
231	#4084	C₂³	1	8	yes	complemented
232	#4084	C₂³	1	16	yes	complemented
233	#4083	C₂³	1	16	yes	—
234	#4083	C₂³	1	8	yes	—
235	#4082	C₂³	1	4	yes	complemented
236	#4082	C₂³	1	8	yes	complemented
237	#4081	C₂³	1	16	yes	complemented
238	D₄×Dic₅	C₂³	1	4	yes	—
239	D₄×Dic₅	C₂³	1	8	yes	complemented
240	D₄×Dic₅	C₂³	1	8	yes	complemented
241	D₄×Dic₅	C₂³	1	2	yes	complemented
242	D₄×Dic₅	C₂³	1	8	yes	complemented
243	#4076	C₂³	1	8	yes	complemented
244	#4076	C₂³	1	8	yes	complemented
245	#4076	C₂³	1	16	yes	complemented
246	#4075	C₂³	1	16	yes	complemented
247	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
248	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
249	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
250	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
251	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
252	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
253	C₂×#685	C₂³	1	16	yes	—
254	#4072	C₂³	1	2	yes	—
255	#4072	C₂³	1	1	yes	characteristic
256	#4072	C₂³	1	2	yes	complemented
257	#4070	C₂³	1	4	yes	—
258	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₅	C₂³	1	2	yes	—
260	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
261	C₂×C₄×Dic₅	C₂³	1	4	yes	complemented
262	#4043	C₂³	1	4	yes	—
263	#4042	C₂³	1	8	yes	—
264	#4041	C₂³	1	8	yes	complemented
265	#4041	C₂³	1	8	yes	complemented
266	#4041	C₂³	1	16	yes	complemented
267	#4040	C₂³	1	16	yes	complemented
268	#4040	C₂³	1	16	yes	complemented
269	#4039	C₂³	1	4	yes	—
270	#4039	C₂³	1	8	yes	complemented
271	#4039	C₂³	1	8	yes	complemented
272	#4039	C₂³	1	8	yes	complemented
273	#4039	C₂³	1	2	yes	complemented
274	#4038	C₂³	1	4	yes	—
275	#4038	C₂³	1	2	yes	—
276	#4038	C₂³	1	4	yes	complemented
277	D₅×C₄⋊C₄	C₂³	1	4	yes	—
278	D₅×C₄⋊C₄	C₂³	1	4	yes	—
279	D₅×C₄⋊C₄	C₂³	1	2	yes	—
280	D₅×C₄⋊C₄	C₂³	1	4	yes	—
281	D₅×C₄⋊C₄	C₂³	1	8	yes	—
282	#4036	C₂³	1	4	yes	complemented
283	#4035	C₂³	1	8	yes	complemented
284	#4034	C₂³	1	4	yes	complemented
285	#4034	C₂³	1	4	yes	complemented
286	#4033	C₂³	1	4	yes	complemented
287	#4033	C₂³	1	2	yes	complemented
288	#4033	C₂³	1	4	yes	complemented
289	#4033	C₂³	1	8	yes	complemented
290	#4032	C₂³	1	16	yes	complemented
291	#4031	C₂³	1	16	yes	complemented
292	#4031	C₂³	1	16	yes	complemented
293	#4031	C₂³	1	16	yes	complemented
294	#4030	C₂³	1	16	yes	complemented
295	#4030	C₂³	1	16	yes	complemented
296	#4030	C₂³	1	16	yes	complemented
297	#4030	C₂³	1	16	yes	complemented
298	#4029	C₂³	1	16	yes	complemented
299	#4029	C₂³	1	16	yes	complemented
300	#4028	C₂³	1	8	yes	—
301	#4028	C₂³	1	16	yes	—
302	#4027	C₂³	1	4	yes	—
303	#4027	C₂³	1	4	yes	—
304	#4027	C₂³	1	16	yes	complemented
305	#4027	C₂³	1	16	yes	complemented
306	#4027	C₂³	1	4	yes	complemented
307	#4027	C₂³	1	16	yes	complemented
308	D₅×C₂²⋊C₄	C₂³	1	2	yes	—
309	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
310	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
311	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
312	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
313	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
314	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
315	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
316	#4024	C₂³	1	8	yes	—
317	#4023	C₂³	1	2	yes	—
318	#4023	C₂³	1	4	yes	—
319	#4023	C₂³	1	4	yes	complemented
320	#4021	C₂³	1	4	yes	complemented
321	#4021	C₂³	1	8	yes	complemented
322	#4020	C₂³	1	2	yes	—
323	#4020	C₂³	1	2	yes	—
324	#4020	C₂³	1	4	yes	—
325	#4020	C₂³	1	4	yes	complemented
326	C₄×D₂₀	C₂³	1	4	yes	—
327	C₄×D₂₀	C₂³	1	2	yes	complemented
328	C₄×D₂₀	C₂³	1	8	yes	complemented
329	C₄×D₂₀	C₂³	1	8	yes	complemented
330	C₄×D₂₀	C₂³	1	8	yes	complemented
331	#4018	C₂³	1	4	yes	—
332	#4018	C₂³	1	2	yes	—
333	#4018	C₂³	1	2	yes	complemented
334	#4018	C₂³	1	2	yes	complemented
335	C₄²×D₅	C₂³	1	1	yes	characteristic
336	C₄²×D₅	C₂³	1	1	yes	characteristic
337	C₄²×D₅	C₂³	1	2	yes	—
338	C₄²×D₅	C₂³	1	1	yes	characteristic
339	C₄²×D₅	C₂³	1	1	yes	characteristic
340	C₄²×D₅	C₂³	1	2	yes	—
341	C₄²×D₅	C₂³	1	4	yes	—
342	C₄²×D₅	C₂³	1	2	yes	—
343	C₄²×D₅	C₂³	1	4	yes	—
344	C₄²×D₅	C₂³	1	2	yes	complemented
345	C₄²×D₅	C₂³	1	2	yes	complemented
346	C₄²×D₅	C₂³	1	4	yes	complemented
347	#4016	C₂³	1	2	yes	complemented
348	#4015	C₂³	1	2	yes	complemented
349	C₄×Dic₁₀	C₂³	1	4	yes	complemented
350	C₄×Dic₁₀	C₂³	1	8	yes	complemented
351	C₄×Dic₁₀	C₂³	1	4	yes	complemented
352	C₄×Dic₁₀	C₂³	1	2	yes	complemented
353	#3508	—	5	4	no	—
354	#3508	—	5	4	no	—
355	#3508	—	5	8	no	—
356	#3508	—	5	4	no	—
357	#3508	—	5	2	no	—
358	#3508	—	5	1	no	—
359	#3508	—	5	4	no	—
360	#3508	—	5	1	no	—
361	#3508	—	5	2	no	—
362	#3508	—	5	1	no	—
363	#3508	D₅	1	1	yes	characteristic, direct product factor
364	C₂×#559	—	5	4	no	—
365	C₂×#550	—	5	4	no	—
366	C₂×#546	—	5	8	no	—
367	C₂×#540	—	5	4	no	—
368	C₂×#535	—	5	2	no	—
369	C₂×#533	—	5	1	no	—
370	C₂×#532	—	5	4	no	—
371	C₂²×#127	—	5	1	no	—
372	C₂×#518	—	5	2	no	—
373	C₂×C₄×#41	—	5	1	no	—
374	C₂⁴×C₅	C₂⁴	1	4	yes	—
375	C₂³×D₅	—	2	16	no	—
376	C₂³×D₅	—	4	16	no	—
377	C₂³×D₅	C₂⁴	1	2	yes	—
378	C₂³×D₅	C₂⁴	1	8	yes	—
379	C₂³×D₅	C₂⁴	1	1	yes	characteristic
380	C₂³×D₅	C₂⁴	1	4	yes	—
381	C₂³×D₅	C₂⁴	1	8	yes	—
382	C₅×#41	—	2	4	no	—
383	C₅×#41	—	4	16	no	—
384	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
385	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
386	C₂×C₅×D₄	—	2	8	no	—
387	C₂×C₅×D₄	—	4	8	no	—
388	C₂×C₅×D₄	C₂⁴	1	2	yes	—
389	C₂×C₅×D₄	C₂⁴	1	4	yes	—
390	C₂×C₅×D₄	C₂⁴	1	4	yes	—
391	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
392	C₂×C₅×D₄	C₂⁴	1	8	yes	—
393	C₂×C₅×D₄	C₂⁴	1	16	yes	—
394	C₂×C₅×D₄	C₂⁴	1	8	yes	—
395	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
398	C₂²×C₄×C₅	C₂⁴	1	16	yes	—
399	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₅	—	2	16	no	—
401	C₂×C₂²⋊D₅	—	4	16	no	—
402	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
403	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
404	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
405	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
406	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
409	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
410	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
411	C₂²×Dic₅	C₂⁴	1	2	yes	—
412	C₂²×Dic₅	C₂⁴	1	4	yes	—
413	C₂²×Dic₅	C₂⁴	1	2	yes	—
414	C₂²×Dic₅	C₂⁴	1	16	yes	—
415	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
416	#713	—	2	4	no	—
417	#713	—	4	16	no	—
418	Q₈×D₅	—	2	4	no	—
419	Q₈×D₅	—	2	16	no	—
420	#711	—	2	8	no	—
421	#711	—	2	4	no	—
422	#711	—	4	16	no	—
423	#711	—	4	32	no	—
424	D₄×D₅	—	2	8	no	—
425	D₄×D₅	—	2	16	no	—
426	D₄×D₅	—	2	16	no	—
427	D₄×D₅	—	2	4	no	—
428	D₄×D₅	—	2	16	no	—
429	D₄×D₅	—	2	16	no	—
430	D₄×D₅	—	2	32	no	—
431	D₄×D₅	—	4	16	no	—
432	D₄×D₅	—	4	16	no	—
433	D₄×D₅	—	4	16	no	—
434	D₄×D₅	—	4	32	no	—
435	#709	—	2	4	no	—
436	#709	—	2	8	no	—
437	#709	—	4	32	no	—
438	#709	—	4	16	no	—
439	C₂×D₂₀	—	2	8	no	—
440	C₂×D₂₀	—	4	8	no	—
441	C₂×D₂₀	C₂⁴	1	8	yes	—
442	C₂×D₂₀	C₂⁴	1	4	yes	—
443	C₂×D₂₀	C₂⁴	1	4	yes	—
444	C₂×D₂₀	C₂⁴	1	2	yes	—
445	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
446	C₂×D₂₀	C₂⁴	1	8	yes	—
447	C₂×D₂₀	C₂⁴	1	16	yes	—
448	C₂×C₄×D₅	—	2	8	no	—
449	C₂×C₄×D₅	—	2	8	no	—
450	C₂×C₄×D₅	—	2	16	no	—
451	C₂×C₄×D₅	—	4	32	no	—
452	C₂×C₄×D₅	#41	1	8	yes	complemented
453	C₂×C₄×D₅	C₂⁴	1	4	yes	—
454	C₂×C₄×D₅	C₂⁴	1	8	yes	—
455	C₂×C₄×D₅	C₂⁴	1	2	yes	—
456	C₂×C₄×D₅	C₂⁴	1	4	yes	—
457	C₂×C₄×D₅	C₂⁴	1	2	yes	—
458	C₂×C₄×D₅	C₂⁴	1	2	yes	—
459	C₂×C₄×D₅	C₂⁴	1	2	yes	—
460	C₂×C₄×D₅	C₂⁴	1	2	yes	—
461	C₂×C₄×D₅	C₂⁴	1	2	yes	—
462	C₂×C₄×D₅	C₂⁴	1	4	yes	—
463	C₂×C₄×D₅	C₂⁴	1	16	yes	—
464	C₂×C₄×D₅	C₂⁴	1	16	yes	—
465	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
466	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
467	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
468	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
469	C₂×C₄×D₅	C₂⁴	1	2	yes	—
470	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
471	C₂×Dic₁₀	C₂⁴	1	2	yes	—
472	C₂×Dic₁₀	C₂⁴	1	4	yes	—
473	C₂×Dic₁₀	C₂⁴	1	8	yes	—
474	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
475	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
476	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
477	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
478	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
479	C₅×C₂²⋊C₄	C₂⁴	1	2	yes	—
480	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
481	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
482	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
483	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
484	C₄²×C₅	C₂⁴	1	1	yes	characteristic
485	C₄²×C₅	C₂⁴	1	1	yes	characteristic
486	C₄²×C₅	C₂⁴	1	2	yes	—
487	C₄²×C₅	C₂⁴	1	2	yes	—
488	C₄²×C₅	C₂⁴	1	4	yes	—
489	C₄²×C₅	C₂⁴	1	4	yes	—
490	C₂²⋊Dic₅	C₂⁴	1	2	yes	—
491	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
492	C₂²⋊Dic₅	C₂⁴	1	16	yes	—
493	C₂²⋊Dic₅	C₂⁴	1	16	yes	—
494	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
495	#685	C₂⁴	1	4	yes	—
496	#685	C₂⁴	1	8	yes	—
497	#685	C₂⁴	1	4	yes	—
498	#685	C₂⁴	1	4	yes	—
499	#685	C₂⁴	1	16	yes	—
500	#685	C₂⁴	1	16	yes	—
501	#685	C₂⁴	1	16	yes	—
502	#685	C₂⁴	1	16	yes	—
503	C₄⋊Dic₅	C₂⁴	1	4	yes	—
504	C₄⋊Dic₅	C₂⁴	1	4	yes	—
505	C₄⋊Dic₅	C₂⁴	1	2	yes	—
506	C₄⋊Dic₅	C₂⁴	1	8	yes	—
507	C₄⋊Dic₅	C₂⁴	1	4	yes	—
508	#683	C₂⁴	1	8	yes	—
509	#683	C₂⁴	1	4	yes	—
510	#683	C₂⁴	1	4	yes	—
511	#683	C₂⁴	1	4	yes	—
512	#683	C₂⁴	1	8	yes	—
513	#683	C₂⁴	1	8	yes	—
514	#683	C₂⁴	1	8	yes	—
515	C₄×Dic₅	C₂⁴	1	2	yes	—
516	C₄×Dic₅	C₂⁴	1	4	yes	—
517	C₄×Dic₅	C₂⁴	1	2	yes	—
518	C₄×Dic₅	C₂⁴	1	4	yes	—
519	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
520	C₄×Dic₅	C₂⁴	1	2	yes	—
521	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
522	C₄×Dic₅	C₂⁴	1	2	yes	—
523	C₄×Dic₅	C₂⁴	1	2	yes	—
524	C₄×Dic₅	C₂⁴	1	2	yes	—
525	C₄×Dic₅	C₂⁴	1	4	yes	—
526	C₄×Dic₅	C₂⁴	1	4	yes	—
527	C₄×Dic₅	C₂⁴	1	4	yes	—
528	C₄×Dic₅	C₂⁴	1	8	yes	—
529	C₂²×#41	—	5	1	no	—
530	C₂²×#41	—	5	8	no	—
531	C₂³×D₄	—	5	2	no	—
532	C₂³×D₄	—	5	4	no	—
533	#559	—	5	4	no	—
534	#559	—	5	8	no	—
535	#559	—	5	8	no	—
536	#559	—	5	16	no	—
537	#559	—	5	4	no	—
538	#559	—	5	4	no	—
539	#559	—	5	8	no	—
540	#559	—	5	8	no	—
541	#559	C₂×D₅	1	4	yes	complemented
542	#550	—	5	8	no	—
543	#550	—	5	4	no	—
544	#550	—	5	8	no	—
545	#550	—	5	8	no	—
546	#550	—	5	16	no	—
547	#550	—	5	4	no	—
548	#550	—	5	8	no	—
549	#550	—	5	4	no	—
550	#550	C₂×D₅	1	4	yes	complemented
551	#546	—	5	8	no	—
552	#546	—	5	8	no	—
553	#546	—	5	8	no	—
554	#546	—	5	16	no	—
555	#546	—	5	8	no	—
556	#546	—	5	16	no	—
557	#546	—	5	8	no	—
558	#546	—	5	16	no	—
559	#546	—	5	8	no	—
560	#546	—	5	8	no	—
561	#546	—	5	16	no	—
562	#546	C₂×D₅	1	8	yes	complemented
563	#540	—	5	4	no	—
564	#540	—	5	4	no	—
565	#540	—	5	16	no	—
566	#540	—	5	16	no	—
567	#540	—	5	8	no	—
568	#540	—	5	8	no	—
569	#540	—	5	4	no	—
570	#540	C₂×D₅	1	4	yes	complemented
571	#535	—	5	2	no	—
572	#535	—	5	2	no	—
573	#535	—	5	4	no	—
574	#535	—	5	4	no	—
575	#535	—	5	8	no	—
576	#535	—	5	8	no	—
577	#535	—	5	2	no	—
578	#535	C₂×D₅	1	2	yes	complemented
579	#533	—	5	2	no	—
580	#533	—	5	2	no	—
581	#533	—	5	4	no	—
582	#533	—	5	4	no	—
583	#533	—	5	2	no	—
584	#533	—	5	1	no	—
585	#533	C₂×D₅	1	1	yes	characteristic, complemented
586	#532	—	5	8	no	—
587	#532	—	5	4	no	—
588	#532	—	5	4	no	—
589	#532	—	5	8	no	—
590	#532	—	5	8	no	—
591	#532	—	5	8	no	—
592	#532	—	5	8	no	—
593	#532	—	5	8	no	—
594	#532	—	5	4	no	—
595	#532	C₂×D₅	1	4	yes	complemented
596	C₂×C₄⋊Q₈	—	5	2	no	—
597	C₂×#127	—	5	4	no	—
598	C₂×#127	—	5	2	no	—
599	C₂×#127	—	5	2	no	—
600	C₂×#127	—	5	2	no	—
601	C₂×#127	—	5	4	no	—
602	C₂×#127	—	5	4	no	—
603	C₂×#127	—	5	2	no	—
604	C₂×#127	—	5	2	no	—
605	C₂×#127	—	5	4	no	—
606	C₂×#127	—	5	1	no	—
607	C₂×#127	C₂×D₅	1	1	yes	characteristic, complemented
608	C₂×#125	—	5	2	no	—
609	C₂×#124	—	5	8	no	—
610	C₂×#124	—	5	4	no	—
611	C₂×#123	—	5	16	no	—
612	C₂×C₂²⋊Q₈	—	5	4	no	—
613	C₂×#121	—	5	8	no	—
614	C₂×#121	—	5	8	no	—
615	C₂×#121	—	5	16	no	—
616	C₂×#120	—	5	8	no	—
617	#518	—	5	2	no	—
618	#518	—	5	8	no	—
619	#518	—	5	8	no	—
620	#518	—	5	2	no	—
621	#518	—	5	2	no	—
622	#518	—	5	8	no	—
623	#518	C₂×D₅	1	2	yes	complemented
624	C₄×#41	—	5	1	no	—
625	C₄×#41	—	5	2	no	—
626	C₄×#41	—	5	4	no	—
627	C₄×#41	—	5	2	no	—
628	C₄×#41	—	5	1	no	—
629	C₄×#41	—	5	2	no	—
630	C₄×#41	—	5	1	no	—
631	C₄×#41	—	5	2	no	—
632	C₄×#41	C₂×D₅	1	1	yes	characteristic, complemented
633	C₂×C₄×Q₈	—	5	2	no	—
634	C₂×C₄×Q₈	—	5	4	no	—
635	C₂×C₄×D₄	—	5	4	no	—
636	C₂×C₄×D₄	—	5	2	no	—
637	C₂×C₄×D₄	—	5	8	no	—
638	C₂×C₄×D₄	—	5	8	no	—
639	C₂×C₄×D₄	—	5	8	no	—
640	C₂×#117	—	5	1	no	—
641	C₂×#117	—	5	2	no	—
642	C₂×#117	—	5	2	no	—
643	C₂²×C₂²⋊C₄	—	5	8	no	—
644	C₂²×C₄²	—	5	1	no	—
645	C₂²×C₄²	—	5	2	no	—
646	C₂³×C₅	—	2	8	no	—
647	C₂³×C₅	—	4	8	no	—
648	C₂³×C₅	C₂⁵	1	8	yes	—
649	C₂³×C₅	C₂⁵	1	2	yes	—
650	C₂³×C₅	C₂⁵	1	1	yes	characteristic
651	C₂²×D₅	—	2	4	no	—
652	C₂²×D₅	—	2	8	no	—
653	C₂²×D₅	—	2	4	no	—
654	C₂²×D₅	—	2	16	no	—
655	C₂²×D₅	—	2	8	no	—
656	C₂²×D₅	—	2	32	no	—
657	C₂²×D₅	—	2	16	no	—
658	C₂²×D₅	—	4	8	no	—
659	C₂²×D₅	—	4	16	no	—
660	C₂²×D₅	—	8	32	no	—
661	C₂²×D₅	C₂×#41	1	4	yes	—
662	C₂²×D₅	C₂⁵	1	8	yes	—
663	C₂²×D₅	C₂⁵	1	2	yes	—
664	C₂²×D₅	C₂⁵	1	1	yes	characteristic
665	C₂²×D₅	C₂⁵	1	1	yes	characteristic
666	C₅×Q₈	—	2	2	no	—
667	C₅×Q₈	—	2	8	no	—
668	C₅×D₄	—	2	4	no	—
669	C₅×D₄	—	2	8	no	—
670	C₅×D₄	—	2	8	no	—
671	C₅×D₄	—	2	2	no	—
672	C₅×D₄	—	2	16	no	—
673	C₅×D₄	—	4	8	no	—
674	C₅×D₄	—	4	16	no	—
675	C₂×C₄×C₅	—	2	4	no	—
676	C₂×C₄×C₅	—	2	4	no	—
677	C₂×C₄×C₅	—	2	8	no	—
678	C₂×C₄×C₅	—	4	16	no	—
679	C₂×C₄×C₅	C₂×#41	1	4	yes	complemented
680	C₂×C₄×C₅	C₂⁵	1	2	yes	—
681	C₂×C₄×C₅	C₂⁵	1	4	yes	—
682	C₂×C₄×C₅	C₂⁵	1	2	yes	—
683	C₂×C₄×C₅	C₂⁵	1	8	yes	—
684	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
685	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
686	C₂×C₄×C₅	C₂⁵	1	2	yes	—
687	C₂²⋊D₅	—	2	4	no	—
688	C₂²⋊D₅	—	2	4	no	—
689	C₂²⋊D₅	—	2	4	no	—
690	C₂²⋊D₅	—	2	16	no	—
691	C₂²⋊D₅	—	2	16	no	—
692	C₂²⋊D₅	—	2	32	no	—
693	C₂²⋊D₅	—	4	16	no	—
694	C₂²⋊D₅	—	4	16	no	—
695	C₂²⋊D₅	—	4	16	no	—
696	C₂×Dic₅	—	2	4	no	—
697	C₂×Dic₅	—	2	8	no	—
698	C₂×Dic₅	—	2	4	no	—
699	C₂×Dic₅	—	4	16	no	—
700	C₂×Dic₅	C₂×#41	1	4	yes	complemented
701	C₂×Dic₅	C₂⁵	1	2	yes	—
702	C₂×Dic₅	C₂⁵	1	2	yes	—
703	C₂×Dic₅	C₂⁵	1	4	yes	—
704	C₂×Dic₅	C₂⁵	1	8	yes	—
705	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
706	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
707	C₂×Dic₅	C₂⁵	1	2	yes	—
708	D₂₀	—	2	4	no	—
709	D₂₀	—	2	8	no	—
710	D₂₀	—	2	8	no	—
711	D₂₀	—	2	2	no	—
712	D₂₀	—	2	16	no	—
713	D₂₀	—	4	8	no	—
714	D₂₀	—	4	16	no	—
715	C₄×D₅	—	2	4	no	—
716	C₄×D₅	—	2	8	no	—
717	C₄×D₅	—	2	4	no	—
718	C₄×D₅	—	2	16	no	—
719	C₄×D₅	—	2	4	no	—
720	C₄×D₅	—	2	4	no	—
721	C₄×D₅	—	2	8	no	—
722	C₄×D₅	—	2	4	no	—
723	C₄×D₅	—	2	8	no	—
724	C₄×D₅	—	2	4	no	—
725	C₄×D₅	—	4	16	no	—
726	C₄×D₅	—	4	16	no	—
727	C₄×D₅	C₂×#41	1	4	yes	—
728	C₄×D₅	C₂×#41	1	4	yes	—
729	C₄×D₅	C₂×#41	1	4	yes	complemented
730	C₄×D₅	C₂×#41	1	4	yes	complemented
731	C₄×D₅	H(5,𝔽₂)	1	8	yes	—
732	Dic₁₀	—	2	2	no	—
733	Dic₁₀	—	2	8	no	—
734	Dic₁₀	—	2	4	no	—
735	Dic₁₀	—	2	16	no	—
736	C₂⁵	—	5	4	no	—
737	C₂×#41	—	5	1	no	—
738	C₂×#41	—	5	8	no	—
739	C₂×#41	—	5	2	no	—
740	C₂×#41	—	5	1	no	—
741	C₂×#41	—	5	16	no	—
742	C₂×#41	—	5	8	no	—
743	C₂×#41	—	5	2	no	—
744	C₂×#41	—	5	1	no	—
745	C₂×#41	—	5	16	no	—
746	C₂×#41	—	5	8	no	—
747	C₂×#41	—	10	8	no	—
748	C₂×#41	—	20	32	no	—
749	C₂×#41	C₂²×D₅	1	1	yes	characteristic
750	C₂×#41	C₂²×D₅	1	8	yes	complemented
751	C₂²×Q₈	—	5	1	no	—
752	C₂²×Q₈	—	5	4	no	—
753	C₂²×D₄	—	5	4	no	—
754	C₂²×D₄	—	5	8	no	—
755	C₂²×D₄	—	5	2	no	—
756	C₂²×D₄	—	5	4	no	—
757	C₂²×D₄	—	5	4	no	—
758	C₂²×D₄	—	5	1	no	—
759	C₂²×D₄	—	5	8	no	—
760	C₂²×D₄	—	5	4	no	—
761	C₂²×D₄	—	5	4	no	—
762	C₂²×D₄	—	5	16	no	—
763	C₂²×D₄	—	5	8	no	—
764	C₂²×D₄	—	5	8	no	—
765	C₂²×D₄	—	5	8	no	—
766	C₂²×D₄	—	5	2	no	—
767	C₂²×D₄	—	5	4	no	—
768	C₂²×D₄	—	10	16	no	—
769	C₂²×D₄	—	20	16	no	—
770	C₂²×D₄	C₂²×D₅	1	2	yes	—
771	C₂²×D₄	C₂²×D₅	1	4	yes	—
772	C₂³×C₄	—	5	1	no	—
773	C₂³×C₄	—	5	2	no	—
774	C₂³×C₄	—	5	4	no	—
775	C₂³×C₄	—	5	2	no	—
776	C₂³×C₄	—	5	16	no	—
777	C₄⋊Q₈	—	5	4	no	—
778	C₄⋊Q₈	—	5	4	no	—
779	C₄⋊Q₈	—	5	4	no	—
780	C₄⋊Q₈	—	5	2	no	—
781	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
782	#127	—	5	8	no	—
783	#127	—	5	4	no	—
784	#127	—	5	8	no	—
785	#127	—	5	4	no	—
786	#127	—	5	8	no	—
787	#127	—	5	8	no	—
788	#127	—	5	8	no	—
789	#127	—	5	16	no	—
790	#127	—	5	4	no	—
791	#127	—	5	4	no	—
792	#127	—	5	2	no	—
793	#127	—	5	2	no	—
794	#127	—	5	4	no	—
795	#127	—	5	4	no	—
796	#127	C₂²×D₅	1	2	yes	—
797	#127	C₂²×D₅	1	2	yes	—
798	#127	C₂²×D₅	1	4	yes	—
799	#127	C₂²×D₅	1	4	yes	complemented
800	#125	—	5	8	no	—
801	#125	—	5	4	no	—
802	#125	—	5	2	no	—
803	#125	C₂²×D₅	1	2	yes	complemented
804	#124	—	5	8	no	—
805	#124	—	5	4	no	—
806	#124	—	5	8	no	—
807	#124	—	5	4	no	—
808	#124	—	5	16	no	—
809	#124	—	5	16	no	—
810	#124	—	5	16	no	—
811	#124	—	5	8	no	—
812	#124	—	5	4	no	—
813	#124	C₂²×D₅	1	8	yes	complemented
814	#124	C₂²×D₅	1	4	yes	complemented
815	#123	—	5	16	no	—
816	#123	—	5	16	no	—
817	#123	—	5	16	no	—
818	#123	—	5	16	no	—
819	#123	—	5	16	no	—
820	#123	—	5	16	no	—
821	#123	—	5	16	no	—
822	#123	C₂²×D₅	1	16	yes	complemented
823	C₂²⋊Q₈	—	5	4	no	—
824	C₂²⋊Q₈	—	5	4	no	—
825	C₂²⋊Q₈	—	5	8	no	—
826	C₂²⋊Q₈	—	5	4	no	—
827	C₂²⋊Q₈	—	5	8	no	—
828	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
829	#121	—	5	8	no	—
830	#121	—	5	16	no	—
831	#121	—	5	8	no	—
832	#121	—	5	16	no	—
833	#121	—	5	16	no	—
834	#121	—	5	16	no	—
835	#121	—	5	16	no	—
836	#121	—	5	8	no	—
837	#121	—	5	8	no	—
838	#121	—	5	16	no	—
839	#121	—	5	8	no	—
840	#121	—	5	8	no	—
841	#121	—	5	16	no	—
842	#121	—	5	16	no	—
843	#121	—	5	16	no	—
844	#121	—	5	16	no	—
845	#121	—	5	16	no	—
846	#121	C₂²×D₅	1	8	yes	complemented
847	#121	C₂²×D₅	1	8	yes	complemented
848	#121	C₂²×D₅	1	16	yes	complemented
849	#120	—	5	8	no	—
850	#120	—	5	8	no	—
851	#120	—	5	16	no	—
852	#120	—	5	16	no	—
853	#120	—	5	8	no	—
854	#120	C₂²×D₅	1	8	yes	—
855	C₄×Q₈	—	5	2	no	—
856	C₄×Q₈	—	5	4	no	—
857	C₄×Q₈	—	5	4	no	—
858	C₄×Q₈	—	5	2	no	—
859	C₄×Q₈	—	5	8	no	—
860	C₄×Q₈	—	5	4	no	—
861	C₄×Q₈	—	5	2	no	—
862	C₄×Q₈	—	5	4	no	—
863	C₄×Q₈	—	5	8	no	—
864	C₄×Q₈	—	5	4	no	—
865	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
866	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
867	C₄×D₄	—	5	4	no	—
868	C₄×D₄	—	5	2	no	—
869	C₄×D₄	—	5	8	no	—
870	C₄×D₄	—	5	8	no	—
871	C₄×D₄	—	5	8	no	—
872	C₄×D₄	—	5	4	no	—
873	C₄×D₄	—	5	4	no	—
874	C₄×D₄	—	5	4	no	—
875	C₄×D₄	—	5	16	no	—
876	C₄×D₄	—	5	16	no	—
877	C₄×D₄	—	5	16	no	—
878	C₄×D₄	—	5	4	no	—
879	C₄×D₄	—	5	2	no	—
880	C₄×D₄	—	5	8	no	—
881	C₄×D₄	—	5	8	no	—
882	C₄×D₄	—	5	8	no	—
883	C₄×D₄	—	5	4	no	—
884	C₄×D₄	—	5	4	no	—
885	C₄×D₄	—	5	4	no	—
886	C₄×D₄	—	5	16	no	—
887	C₄×D₄	—	5	16	no	—
888	C₄×D₄	—	5	16	no	—
889	C₄×D₄	—	5	4	no	—
890	C₄×D₄	—	5	2	no	—
891	C₄×D₄	—	5	8	no	—
892	C₄×D₄	—	5	8	no	—
893	C₄×D₄	—	5	8	no	—
894	C₄×D₄	C₂²×D₅	1	4	yes	—
895	C₄×D₄	C₂²×D₅	1	2	yes	complemented
896	C₄×D₄	C₂²×D₅	1	8	yes	complemented
897	C₄×D₄	C₂²×D₅	1	8	yes	complemented
898	C₄×D₄	C₂²×D₅	1	8	yes	complemented
899	#117	—	5	1	no	—
900	#117	—	5	2	no	—
901	#117	—	5	2	no	—
902	#117	—	5	2	no	—
903	#117	—	5	4	no	—
904	#117	—	5	4	no	—
905	#117	—	5	2	no	—
906	#117	—	5	4	no	—
907	#117	—	5	4	no	—
908	#117	—	5	2	no	—
909	#117	—	5	2	no	—
910	#117	—	5	2	no	—
911	#117	—	5	4	no	—
912	#117	C₂²×D₅	1	1	yes	characteristic
913	#117	C₂²×D₅	1	2	yes	—
914	#117	C₂²×D₅	1	2	yes	complemented
915	C₂×C₄⋊C₄	—	5	2	no	—
916	C₂×C₄⋊C₄	—	5	4	no	—
917	C₂×C₄⋊C₄	—	5	4	no	—
918	C₂×C₄⋊C₄	—	5	4	no	—
919	C₂×C₄⋊C₄	—	5	8	no	—
920	C₂×C₂²⋊C₄	—	5	8	no	—
921	C₂×C₂²⋊C₄	—	5	16	no	—
922	C₂×C₂²⋊C₄	—	5	2	no	—
923	C₂×C₂²⋊C₄	—	5	4	no	—
924	C₂×C₂²⋊C₄	—	5	16	no	—
925	C₂×C₂²⋊C₄	—	5	8	no	—
926	C₂×C₂²⋊C₄	—	5	8	no	—
927	C₂×C₂²⋊C₄	—	5	16	no	—
928	C₂×C₂²⋊C₄	—	5	4	no	—
929	C₂×C₂²⋊C₄	—	5	16	no	—
930	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	—
931	C₂×C₄²	—	5	2	no	—
932	C₂×C₄²	—	5	1	no	—
933	C₂×C₄²	—	5	4	no	—
934	C₂×C₄²	—	5	2	no	—
935	C₂×C₄²	—	5	2	no	—
936	C₂×C₄²	—	5	1	no	—
937	C₂×C₄²	—	5	4	no	—
938	C₂×C₄²	—	5	4	no	—
939	C₂×C₄²	—	5	2	no	—
940	C₂×C₄²	—	5	2	no	—
941	C₂×C₄²	—	5	1	no	—
942	C₂×C₄²	—	5	1	no	—
943	C₂×C₄²	—	5	4	no	—
944	C₂×C₄²	—	5	2	no	—
945	C₂×C₄²	—	5	2	no	—
946	C₂×C₄²	—	5	1	no	—
947	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
948	C₂×C₄²	C₂²×D₅	1	2	yes	complemented
949	C₂²×C₅	—	2	2	no	—
950	C₂²×C₅	—	2	2	no	—
951	C₂²×C₅	—	2	8	no	—
952	C₂²×C₅	—	2	4	no	—
953	C₂²×C₅	—	2	16	no	—
954	C₂²×C₅	—	8	8	no	—
955	C₂²×C₅	C₂²×#41	1	2	yes	—
956	C₂²×C₅	C₂⁶	1	1	yes	characteristic
957	C₂×D₅	—	2	2	no	—
958	C₂×D₅	—	2	8	no	—
959	C₂×D₅	—	2	2	no	—
960	C₂×D₅	—	2	8	no	—
961	C₂×D₅	—	2	4	no	—
962	C₂×D₅	—	2	16	no	—
963	C₂×D₅	—	4	8	no	—
964	C₂×D₅	—	4	32	no	—
965	C₂×D₅	—	8	16	no	—
966	C₂×D₅	—	8	8	no	—
967	C₂×D₅	C₂²×#41	1	2	yes	—
968	C₂×D₅	C₂²×#41	1	2	yes	—
969	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
970	C₄×C₅	—	2	2	no	—
971	C₄×C₅	—	2	8	no	—
972	C₄×C₅	—	2	4	no	—
973	C₄×C₅	—	2	2	no	—
974	C₄×C₅	C₂²×#41	1	2	yes	—
975	C₄×C₅	C₂²×#41	1	2	yes	—
976	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
977	Dic₅	—	2	2	no	—
978	Dic₅	—	2	8	no	—
979	Dic₅	—	2	4	no	—
980	Dic₅	—	2	2	no	—
981	Dic₅	C₂²×#41	1	2	yes	—
982	Dic₅	C₂²×#41	1	2	yes	—
983	Dic₅	C₂×H(5,𝔽₂)	1	4	yes	—
984	C₂⁴	—	5	1	no	—
985	C₂⁴	—	5	8	no	—
986	C₂⁴	—	5	2	no	—
987	C₂⁴	—	5	8	no	—
988	C₂⁴	—	5	4	no	—
989	C₂⁴	—	10	16	no	—
990	C₂⁴	—	20	16	no	—
991	C₂⁴	C₂³×D₅	1	4	yes	—
992	#41	—	2	4	no	—
993	#41	—	4	16	no	—
994	#41	—	10	8	no	—
995	#41	—	10	8	no	—
996	#41	—	10	4	no	—
997	#41	—	10	4	no	—
998	#41	—	10	4	no	—
999	#41	—	20	16	no	—
1000	#41	—	20	32	no	—
1001	#41	—	20	16	no	—
1002	#41	—	20	32	no	—
1003	#41	—	20	16	no	—
1004	C₂×Q₈	—	5	2	no	—
1005	C₂×Q₈	—	5	1	no	—
1006	C₂×Q₈	—	5	8	no	—
1007	C₂×Q₈	—	5	4	no	—
1008	C₂×Q₈	—	10	4	no	—
1009	C₂×Q₈	—	10	16	no	—
1010	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1011	C₂×Q₈	C₂³×D₅	1	4	yes	—
1012	C₂×D₄	—	2	8	no	—
1013	C₂×D₄	—	4	8	no	—
1014	C₂×D₄	—	5	2	no	—
1015	C₂×D₄	—	5	2	no	—
1016	C₂×D₄	—	5	8	no	—
1017	C₂×D₄	—	5	8	no	—
1018	C₂×D₄	—	5	2	no	—
1019	C₂×D₄	—	5	16	no	—
1020	C₂×D₄	—	5	16	no	—
1021	C₂×D₄	—	5	16	no	—
1022	C₂×D₄	—	5	16	no	—
1023	C₂×D₄	—	5	2	no	—
1024	C₂×D₄	—	5	4	no	—
1025	C₂×D₄	—	5	4	no	—
1026	C₂×D₄	—	5	1	no	—
1027	C₂×D₄	—	5	8	no	—
1028	C₂×D₄	—	5	16	no	—
1029	C₂×D₄	—	5	8	no	—
1030	C₂×D₄	—	10	16	no	—
1031	C₂×D₄	—	10	16	no	—
1032	C₂×D₄	—	10	16	no	—
1033	C₂×D₄	—	10	16	no	—
1034	C₂×D₄	—	10	32	no	—
1035	C₂×D₄	—	10	4	no	—
1036	C₂×D₄	—	10	16	no	—
1037	C₂×D₄	—	10	8	no	—
1038	C₂×D₄	—	10	8	no	—
1039	C₂×D₄	—	20	8	no	—
1040	C₂×D₄	—	20	16	no	—
1041	C₂×D₄	—	20	16	no	—
1042	C₂×D₄	—	20	16	no	—
1043	C₂×D₄	—	20	32	no	—
1044	C₂×D₄	—	20	16	no	—
1045	C₂×D₄	C₂³×D₅	1	2	yes	—
1046	C₂×D₄	C₂³×D₅	1	4	yes	—
1047	C₂×D₄	C₂³×D₅	1	4	yes	—
1048	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1049	C₂×D₄	C₂³×D₅	1	8	yes	—
1050	C₂×D₄	C₂³×D₅	1	16	yes	—
1051	C₂×D₄	C₂³×D₅	1	8	yes	—
1052	C₂²×C₄	—	5	1	no	—
1053	C₂²×C₄	—	5	8	no	—
1054	C₂²×C₄	—	5	1	no	—
1055	C₂²×C₄	—	5	1	no	—
1056	C₂²×C₄	—	5	2	no	—
1057	C₂²×C₄	—	5	1	no	—
1058	C₂²×C₄	—	5	1	no	—
1059	C₂²×C₄	—	5	2	no	—
1060	C₂²×C₄	—	5	4	no	—
1061	C₂²×C₄	—	5	2	no	—
1062	C₂²×C₄	—	5	16	no	—
1063	C₂²×C₄	—	5	2	no	—
1064	C₂²×C₄	—	5	4	no	—
1065	C₂²×C₄	—	5	2	no	—
1066	C₂²×C₄	—	5	2	no	—
1067	C₂²×C₄	—	5	2	no	—
1068	C₂²×C₄	—	5	4	no	—
1069	C₂²×C₄	—	5	4	no	—
1070	C₂²×C₄	—	5	2	no	—
1071	C₂²×C₄	—	5	2	no	—
1072	C₂²×C₄	—	5	8	no	—
1073	C₂²×C₄	—	5	16	no	—
1074	C₂²×C₄	—	5	16	no	—
1075	C₂²×C₄	—	10	8	no	—
1076	C₂²×C₄	—	10	8	no	—
1077	C₂²×C₄	—	10	16	no	—
1078	C₂²×C₄	—	20	32	no	—
1079	C₂²×C₄	C₂³×D₅	1	2	yes	—
1080	C₂²×C₄	C₂³×D₅	1	2	yes	—
1081	C₂²×C₄	C₂³×D₅	1	4	yes	—
1082	C₂²×C₄	C₂³×D₅	1	16	yes	—
1083	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1084	C₄⋊C₄	—	5	4	no	—
1085	C₄⋊C₄	—	5	2	no	—
1086	C₄⋊C₄	—	5	8	no	—
1087	C₄⋊C₄	—	5	4	no	—
1088	C₄⋊C₄	—	5	4	no	—
1089	C₄⋊C₄	—	5	4	no	—
1090	C₄⋊C₄	—	5	4	no	—
1091	C₄⋊C₄	—	5	8	no	—
1092	C₄⋊C₄	—	5	4	no	—
1093	C₄⋊C₄	—	5	8	no	—
1094	C₄⋊C₄	—	5	8	no	—
1095	C₄⋊C₄	—	5	8	no	—
1096	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1097	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1098	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1099	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1100	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1101	C₂²⋊C₄	—	5	2	no	—
1102	C₂²⋊C₄	—	5	4	no	—
1103	C₂²⋊C₄	—	5	16	no	—
1104	C₂²⋊C₄	—	5	4	no	—
1105	C₂²⋊C₄	—	5	16	no	—
1106	C₂²⋊C₄	—	5	4	no	—
1107	C₂²⋊C₄	—	5	8	no	—
1108	C₂²⋊C₄	—	5	16	no	—
1109	C₂²⋊C₄	—	5	16	no	—
1110	C₂²⋊C₄	—	5	4	no	—
1111	C₂²⋊C₄	—	5	4	no	—
1112	C₂²⋊C₄	—	5	16	no	—
1113	C₂²⋊C₄	—	5	16	no	—
1114	C₂²⋊C₄	C₂³×D₅	1	2	yes	—
1115	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1116	C₂²⋊C₄	C₂³×D₅	1	16	yes	—
1117	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1118	C₂²⋊C₄	C₂³×D₅	1	16	yes	—
1119	C₄²	—	5	2	no	—
1120	C₄²	—	5	1	no	—
1121	C₄²	—	5	4	no	—
1122	C₄²	—	5	2	no	—
1123	C₄²	—	5	2	no	—
1124	C₄²	—	5	1	no	—
1125	C₄²	—	5	4	no	—
1126	C₄²	—	5	4	no	—
1127	C₄²	—	5	4	no	—
1128	C₄²	—	5	2	no	—
1129	C₄²	—	5	2	no	—
1130	C₄²	—	5	2	no	—
1131	C₄²	—	5	8	no	—
1132	C₄²	—	5	4	no	—
1133	C₄²	C₂³×D₅	1	1	yes	characteristic
1134	C₄²	C₂³×D₅	1	1	yes	characteristic
1135	C₄²	C₂³×D₅	1	2	yes	—
1136	C₄²	C₂³×D₅	1	2	yes	—
1137	C₄²	C₂³×D₅	1	4	yes	—
1138	C₄²	C₂³×D₅	1	4	yes	—
1139	C₂×C₅	—	2	2	no	—
1140	C₂×C₅	—	4	8	no	—
1141	C₂×C₅	—	4	2	no	—
1142	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1143	C₂×C₅	C₂²×H(5,𝔽₂)	1	2	yes	—
1144	D₅	—	2	2	no	—
1145	D₅	—	4	2	no	—
1146	D₅	—	4	8	no	—
1147	D₅	#3508	1	4	yes	direct product factor
1148	C₂³	—	2	8	no	—
1149	C₂³	—	4	8	no	—
1150	C₂³	—	5	1	no	—
1151	C₂³	—	5	4	no	—
1152	C₂³	—	5	1	no	—
1153	C₂³	—	5	8	no	—
1154	C₂³	—	5	2	no	—
1155	C₂³	—	10	4	no	—
1156	C₂³	—	10	4	no	—
1157	C₂³	—	10	8	no	—
1158	C₂³	—	10	32	no	—
1159	C₂³	—	10	16	no	—
1160	C₂³	—	10	16	no	—
1161	C₂³	—	10	8	no	—
1162	C₂³	—	20	8	no	—
1163	C₂³	—	20	16	no	—
1164	C₂³	—	40	32	no	—
1165	C₂³	C₂⁴×D₅	1	8	yes	—
1166	C₂³	C₂⁴×D₅	1	2	yes	—
1167	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1168	Q₈	—	2	2	no	—
1169	Q₈	—	2	8	no	—
1170	Q₈	—	10	4	no	—
1171	Q₈	—	10	16	no	—
1172	Q₈	—	10	2	no	—
1173	Q₈	—	10	8	no	—
1174	D₄	—	2	4	no	—
1175	D₄	—	2	8	no	—
1176	D₄	—	2	8	no	—
1177	D₄	—	2	2	no	—
1178	D₄	—	2	16	no	—
1179	D₄	—	4	8	no	—
1180	D₄	—	4	16	no	—
1181	D₄	—	10	4	no	—
1182	D₄	—	10	16	no	—
1183	D₄	—	10	16	no	—
1184	D₄	—	10	32	no	—
1185	D₄	—	10	4	no	—
1186	D₄	—	10	4	no	—
1187	D₄	—	10	4	no	—
1188	D₄	—	10	8	no	—
1189	D₄	—	10	8	no	—
1190	D₄	—	10	2	no	—
1191	D₄	—	10	16	no	—
1192	D₄	—	20	8	no	—
1193	D₄	—	20	16	no	—
1194	D₄	—	20	16	no	—
1195	D₄	—	20	16	no	—
1196	D₄	—	20	16	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	4	no	—
1199	C₂×C₄	—	2	8	no	—
1200	C₂×C₄	—	4	16	no	—
1201	C₂×C₄	—	5	4	no	—
1202	C₂×C₄	—	5	1	no	—
1203	C₂×C₄	—	5	1	no	—
1204	C₂×C₄	—	5	2	no	—
1205	C₂×C₄	—	5	4	no	—
1206	C₂×C₄	—	5	4	no	—
1207	C₂×C₄	—	5	4	no	—
1208	C₂×C₄	—	5	4	no	—
1209	C₂×C₄	—	5	8	no	—
1210	C₂×C₄	—	5	2	no	—
1211	C₂×C₄	—	5	4	no	—
1212	C₂×C₄	—	5	2	no	—
1213	C₂×C₄	—	5	8	no	—
1214	C₂×C₄	—	10	4	no	—
1215	C₂×C₄	—	10	4	no	—
1216	C₂×C₄	—	10	8	no	—
1217	C₂×C₄	—	10	8	no	—
1218	C₂×C₄	—	10	4	no	—
1219	C₂×C₄	—	10	4	no	—
1220	C₂×C₄	—	10	16	no	—
1221	C₂×C₄	—	10	4	no	—
1222	C₂×C₄	—	10	4	no	—
1223	C₂×C₄	—	10	8	no	—
1224	C₂×C₄	—	10	4	no	—
1225	C₂×C₄	—	10	4	no	—
1226	C₂×C₄	—	10	8	no	—
1227	C₂×C₄	—	20	16	no	—
1228	C₂×C₄	—	20	16	no	—
1229	C₂×C₄	—	20	16	no	—
1230	C₂×C₄	D₅×#41	1	4	yes	complemented
1231	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1232	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1233	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1234	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1235	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1236	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1237	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1238	C₅	C₂×#3508	1	1	yes	characteristic, complemented, Sylow
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	8	no	—
1242	C₂²	—	2	4	no	—
1243	C₂²	—	2	16	no	—
1244	C₂²	—	5	2	no	—
1245	C₂²	—	5	4	no	—
1246	C₂²	—	5	2	no	—
1247	C₂²	—	8	8	no	—
1248	C₂²	—	10	8	no	—
1249	C₂²	—	10	2	no	—
1250	C₂²	—	10	2	no	—
1251	C₂²	—	10	8	no	—
1252	C₂²	—	10	4	no	—
1253	C₂²	—	10	16	no	—
1254	C₂²	—	20	32	no	—
1255	C₂²	—	20	8	no	—
1256	C₂²	—	40	8	no	—
1257	C₂²	—	40	16	no	—
1258	C₂²	C₂×D₅×#41	1	2	yes	—
1259	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1260	C₄	—	2	2	no	—
1261	C₄	—	2	4	no	—
1262	C₄	—	2	2	no	—
1263	C₄	—	2	8	no	—
1264	C₄	—	5	2	no	—
1265	C₄	—	5	2	no	—
1266	C₄	—	5	4	no	—
1267	C₄	—	10	2	no	—
1268	C₄	—	10	4	no	—
1269	C₄	—	10	2	no	—
1270	C₄	—	10	8	no	—
1271	C₄	C₂×D₅×#41	1	2	yes	—
1272	C₄	C₂×D₅×#41	1	2	yes	—
1273	C₄	D₅×H(5,𝔽₂)	1	4	yes	—
1274	C₂	—	2	2	no	—
1275	C₂	—	4	8	no	—
1276	C₂	—	4	2	no	—
1277	C₂	—	5	4	no	—
1278	C₂	—	10	2	no	—
1279	C₂	—	20	8	no	—
1280	C₂	—	20	2	no	—
1281	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1282	C₂	C₂×D₅×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3508	C₂
hypercenter	#3508	D₅
hypocenter	C₅	C₂×#3508
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3508

Complements

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

N	H ≅ G/N	type
1. C₅×#3508	C₂	semidirect
2. D₅×#559	C₂	semidirect
3. #10618952	C₂	semidirect
4. D₅×#550	C₂	semidirect
5. #10618672	C₂	semidirect
6. D₅×#546	C₂	semidirect
7. #10618534	C₂	semidirect
8. #10618387	C₂	semidirect
9. D₅×#540	C₂	semidirect
10. D₅×#535	C₂	semidirect
11. #10618220	C₂	semidirect
12. D₅×#533	C₂	semidirect
13. #10618162	C₂	semidirect
14. #10618146	C₂	semidirect
15. D₅×#532	C₂	semidirect
16. C₂×D₅×#127	C₂	semidirect
17. #10618091	C₂	semidirect
18. D₅×#518	C₂	semidirect
19. #10617763	C₂	semidirect
20. #10617749	C₂	semidirect
21. C₄×D₅×#41	C₂	semidirect
23. C₂×D₅×#41	C₂²	semidirect
26. C₅×#559	C₂²	semidirect
27. C₅×#550	C₂²	semidirect
28. C₅×#546	C₂²	semidirect
29. C₅×#540	C₂²	semidirect
30. C₅×#535	C₂²	semidirect
31. C₅×#533	C₂²	semidirect
32. C₅×#532	C₂²	semidirect
33. C₂×C₅×#127	C₂²	semidirect
34. C₅×#518	C₂²	semidirect
35. C₄×C₅×#41	C₂²	semidirect
36. #66168	C₂²	semidirect
37. #66166	C₂²	semidirect
38. #66164	C₂²	semidirect
39. #66163	C₂²	semidirect
40. #41×Dic₅	C₂²	semidirect
41. #66140	C₂²	semidirect
42. #66139	C₂²	semidirect
43. C₂×#4086	C₂²	semidirect
44. C₂×#4086	C₂²	semidirect
45. #66132	C₂²	semidirect
46. #66062	C₂²	semidirect
47. #66059	C₂²	semidirect
48. D₅×C₄⋊Q₈	C₂²	semidirect
49. #66053	C₂²	semidirect
50. #66052	C₂²	semidirect
51. #66052	C₂²	semidirect
52. #66050	C₂²	semidirect
53. #66049	C₂²	semidirect
57. D₅×#127	C₂²	semidirect
58. D₅×#127	C₂²	semidirect
59. D₅×#127	C₂²	semidirect
60. D₅×#127	C₂²	semidirect
61. #66047	C₂²	semidirect
62. #66032	C₂²	semidirect
63. #66022	C₂²	semidirect
64. D₅×#125	C₂²	semidirect
65. #66015	C₂²	semidirect
66. #66015	C₂²	semidirect
67. #66010	C₂²	semidirect
68. #66008	C₂²	semidirect
69. D₅×#124	C₂²	semidirect
70. D₅×#124	C₂²	semidirect
71. #66002	C₂²	semidirect
72. #65998	C₂²	semidirect
73. #65997	C₂²	semidirect
74. #65988	C₂²	semidirect
75. D₅×#123	C₂²	semidirect
76. #65964	C₂²	semidirect
78. #65956	C₂²	semidirect
79. #65953	C₂²	semidirect
80. #65949	C₂²	semidirect
81. #65946	C₂²	semidirect
82. #65944	C₂²	semidirect
83. #65941	C₂²	semidirect
84. D₅×#121	C₂²	semidirect
85. D₅×#121	C₂²	semidirect
86. D₅×#121	C₂²	semidirect
87. #65933	C₂²	semidirect
88. #65933	C₂²	semidirect
89. #65930	C₂²	semidirect
90. #65930	C₂²	semidirect
91. #65926	C₂²	semidirect
92. #65925	C₂²	semidirect
94. #65919	C₂²	semidirect
95. #65919	C₂²	semidirect
96. #65912	C₂²	semidirect
97. #65911	C₂²	semidirect
98. C₄×#713	C₂²	semidirect
99. C₄×Q₈×D₅	C₂²	semidirect
100. C₄×Q₈×D₅	C₂²	semidirect
101. #65896	C₂²	semidirect
102. #65893	C₂²	semidirect
103. #65893	C₂²	semidirect
104. #65888	C₂²	semidirect
105. #65887	C₂²	semidirect
106. #65887	C₂²	semidirect
107. #65884	C₂²	semidirect
108. #65882	C₂²	semidirect
109. #65882	C₂²	semidirect
110. #65879	C₂²	semidirect
111. #65879	C₂²	semidirect
113. C₄×D₄×D₅	C₂²	semidirect
114. C₄×D₄×D₅	C₂²	semidirect
115. C₄×D₄×D₅	C₂²	semidirect
116. C₄×D₄×D₅	C₂²	semidirect
117. C₄×#711	C₂²	semidirect
118. C₄×#711	C₂²	semidirect
119. #65869	C₂²	semidirect
120. #65859	C₂²	semidirect
121. #65856	C₂²	semidirect
122. #65856	C₂²	semidirect
123. #65855	C₂²	semidirect
124. #65855	C₂²	semidirect
127. D₅×#117	C₂²	semidirect
128. #65851	C₂²	semidirect
129. #65824	C₂²	semidirect
130. #65820	C₂²	semidirect
132. #65811	C₂²	semidirect
133. C₂×#4020	C₂²	semidirect
134. C₄×#709	C₂²	semidirect
135. C₄×#709	C₂²	semidirect
137. C₂×C₄²×D₅	C₂²	semidirect
138. #65804	C₂²	semidirect
142. C₂×C₅×#41	C₂³	semidirect
150. C₂×#713	C₂³	semidirect
155. C₂×#711	C₂³	semidirect
156. C₂×#711	C₂³	semidirect
172. C₂×#709	C₂³	semidirect
173. C₂×#709	C₂³	semidirect
181. C₅×C₄⋊Q₈	C₂³	semidirect
185. C₅×#127	C₂³	semidirect
186. C₅×#125	C₂³	semidirect
187. C₅×#124	C₂³	semidirect
188. C₅×#124	C₂³	semidirect
189. C₅×#123	C₂³	semidirect
191. C₅×#121	C₂³	semidirect
192. C₅×#121	C₂³	semidirect
193. C₅×#121	C₂³	semidirect
195. C₄×C₅×Q₈	C₂³	semidirect
196. C₄×C₅×Q₈	C₂³	semidirect
198. C₄×C₅×D₄	C₂³	semidirect
199. C₄×C₅×D₄	C₂³	semidirect
200. C₄×C₅×D₄	C₂³	semidirect
201. C₄×C₅×D₄	C₂³	semidirect
204. C₅×#117	C₂³	semidirect
207. C₂×C₄²×C₅	C₂³	semidirect
210. #4093	C₂³	semidirect
211. #4093	C₂³	semidirect
213. Q₈×Dic₅	C₂³	semidirect
214. Q₈×Dic₅	C₂³	semidirect
215. #4090	C₂³	semidirect
223. #4086	C₂³	semidirect
224. #4086	C₂³	semidirect
225. #4086	C₂³	semidirect
226. #4085	C₂³	semidirect
227. #4085	C₂³	semidirect
228. #4085	C₂³	semidirect
229. #4085	C₂³	semidirect
230. #4084	C₂³	semidirect
231. #4084	C₂³	semidirect
232. #4084	C₂³	semidirect
235. #4082	C₂³	semidirect
236. #4082	C₂³	semidirect
237. #4081	C₂³	semidirect
239. D₄×Dic₅	C₂³	semidirect
240. D₄×Dic₅	C₂³	semidirect
241. D₄×Dic₅	C₂³	semidirect
242. D₄×Dic₅	C₂³	semidirect
243. #4076	C₂³	semidirect
244. #4076	C₂³	semidirect
245. #4076	C₂³	semidirect
246. #4075	C₂³	semidirect
249. C₄×C₂²⋊D₅	C₂³	semidirect
250. C₄×C₂²⋊D₅	C₂³	semidirect
251. C₄×C₂²⋊D₅	C₂³	semidirect
252. C₄×C₂²⋊D₅	C₂³	semidirect
256. #4072	C₂³	semidirect
260. C₂×C₄×Dic₅	C₂³	semidirect
261. C₂×C₄×Dic₅	C₂³	semidirect
264. #4041	C₂³	semidirect
265. #4041	C₂³	semidirect
266. #4041	C₂³	semidirect
267. #4040	C₂³	semidirect
268. #4040	C₂³	semidirect
270. #4039	C₂³	semidirect
271. #4039	C₂³	semidirect
272. #4039	C₂³	semidirect
273. #4039	C₂³	semidirect
276. #4038	C₂³	semidirect
282. #4036	C₂³	semidirect
283. #4035	C₂³	semidirect
284. #4034	C₂³	semidirect
285. #4034	C₂³	semidirect
286. #4033	C₂³	semidirect
287. #4033	C₂³	semidirect
288. #4033	C₂³	semidirect
289. #4033	C₂³	semidirect
290. #4032	C₂³	semidirect
291. #4031	C₂³	semidirect
292. #4031	C₂³	semidirect
293. #4031	C₂³	semidirect
294. #4030	C₂³	semidirect
295. #4030	C₂³	semidirect
296. #4030	C₂³	semidirect
297. #4030	C₂³	semidirect
298. #4029	C₂³	semidirect
299. #4029	C₂³	semidirect
304. #4027	C₂³	semidirect
305. #4027	C₂³	semidirect
306. #4027	C₂³	semidirect
307. #4027	C₂³	semidirect
319. #4023	C₂³	semidirect
320. #4021	C₂³	semidirect
321. #4021	C₂³	semidirect
325. #4020	C₂³	semidirect
327. C₄×D₂₀	C₂³	semidirect
328. C₄×D₂₀	C₂³	semidirect
329. C₄×D₂₀	C₂³	semidirect
330. C₄×D₂₀	C₂³	semidirect
333. #4018	C₂³	semidirect
334. #4018	C₂³	semidirect
344. C₄²×D₅	C₂³	semidirect
345. C₄²×D₅	C₂³	semidirect
346. C₄²×D₅	C₂³	semidirect
347. #4016	C₂³	semidirect
348. #4015	C₂³	semidirect
349. C₄×Dic₁₀	C₂³	semidirect
350. C₄×Dic₁₀	C₂³	semidirect
351. C₄×Dic₁₀	C₂³	semidirect
352. C₄×Dic₁₀	C₂³	semidirect
363. #3508	D₅	direct (N × H)
452. C₂×C₄×D₅	#41	semidirect
541. #559	C₂×D₅	semidirect
550. #550	C₂×D₅	semidirect
562. #546	C₂×D₅	semidirect
570. #540	C₂×D₅	semidirect
578. #535	C₂×D₅	semidirect
585. #533	C₂×D₅	semidirect
595. #532	C₂×D₅	semidirect
607. C₂×#127	C₂×D₅	semidirect
623. #518	C₂×D₅	semidirect
632. C₄×#41	C₂×D₅	semidirect
679. C₂×C₄×C₅	C₂×#41	semidirect
700. C₂×Dic₅	C₂×#41	semidirect
729. C₄×D₅	C₂×#41	semidirect
730. C₄×D₅	C₂×#41	semidirect
750. C₂×#41	C₂²×D₅	semidirect
781. C₄⋊Q₈	C₂²×D₅	semidirect
799. #127	C₂²×D₅	semidirect
803. #125	C₂²×D₅	semidirect
813. #124	C₂²×D₅	semidirect
814. #124	C₂²×D₅	semidirect
822. #123	C₂²×D₅	semidirect
846. #121	C₂²×D₅	semidirect
847. #121	C₂²×D₅	semidirect
848. #121	C₂²×D₅	semidirect
865. C₄×Q₈	C₂²×D₅	semidirect
866. C₄×Q₈	C₂²×D₅	semidirect
895. C₄×D₄	C₂²×D₅	semidirect
896. C₄×D₄	C₂²×D₅	semidirect
897. C₄×D₄	C₂²×D₅	semidirect
898. C₄×D₄	C₂²×D₅	semidirect
914. #117	C₂²×D₅	semidirect
948. C₂×C₄²	C₂²×D₅	semidirect
1147. D₅	#3508	direct (N × H)
1230. C₂×C₄	D₅×#41	semidirect
1238. C₅	C₂×#3508	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3508	2
D₅×#559	2
#10618952	2
D₅×#550	2
#10618672	2
D₅×#546	2
#10618534	2
#10618387	2
D₅×#540	2
D₅×#535	2
#10618220	2
D₅×#533	2
#10618162	2
#10618146	2
D₅×#532	2
C₂×D₅×#127	2
#10618091	2
D₅×#518	2
#10617763	2
#10617749	2
C₄×D₅×#41	2
C₂×#3508	5

Subgroups — D5×#3508 #13007651

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3508 #13007651