Subgroups — C₅×#60586 #11983306

Order 1280.

2024 conjugacy classes of subgroups.

The subgroup lattice has 1208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#3428	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3127	C₂	1	2	yes	maximal, complemented
4	C₅×#3123	C₂	1	2	yes	maximal, complemented
5	C₅×#3121	C₂	1	2	yes	maximal, complemented
6	C₅×#3118	C₂	1	2	yes	maximal, complemented
7	C₅×#3116	C₂	1	2	yes	maximal, complemented
8	C₅×#3111	C₂	1	2	yes	maximal, complemented
9	C₅×#3107	C₂	1	2	yes	maximal, complemented
10	C₅×#3102	C₂	1	2	yes	maximal, complemented
11	C₅×#3093	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₅×#485	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#3084	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#3083	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#3046	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3046	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×#3007	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#3002	C₂	1	1	yes	maximal, characteristic
19	C₅×#2952	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#2951	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅×#2947	C₂	1	1	yes	maximal, characteristic, complemented
22	C₅×#2947	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
25	C₂×C₅×#137	C₂²	1	1	yes	characteristic
26	C₂×C₅×#137	C₂²	1	1	yes	characteristic
27	C₂×C₅×#135	C₂²	1	1	yes	characteristic
28	C₂×C₅×#135	C₂²	1	1	yes	characteristic
29	C₅×#556	—	2	1	no	—
30	C₅×#554	—	2	1	no	—
31	C₅×#552	—	2	2	no	—
32	C₅×#552	—	2	1	no	—
33	C₅×#552	—	2	1	no	—
34	C₅×#551	—	2	2	no	—
35	C₅×#544	C₂²	1	1	yes	characteristic, complemented
36	C₅×#542	C₂²	1	2	yes	—
37	C₅×#541	C₂²	1	2	yes	—
38	C₅×#536	C₂²	1	1	yes	characteristic, complemented
39	C₅×#533	C₂²	1	2	yes	complemented
40	C₅×#529	C₂²	1	2	yes	complemented
41	C₅×#525	C₂²	1	1	yes	characteristic
42	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₅×#520	—	2	1	no	—
44	C₅×#520	—	2	1	no	—
45	C₅×#520	C₂²	1	1	yes	characteristic
46	C₅×#520	C₂²	1	1	yes	characteristic
47	C₅×#520	C₂²	1	1	yes	characteristic
48	C₅×#520	C₂²	1	1	yes	characteristic
49	C₅×#520	C₂²	1	1	yes	characteristic, complemented
50	C₅×#519	C₂²	1	2	yes	—
51	C₅×#519	C₂²	1	1	yes	characteristic, complemented
52	C₅×#518	—	2	2	no	—
53	C₅×#518	C₂²	1	2	yes	—
54	C₄×C₅×#41	—	2	2	no	—
55	C₄×C₅×#41	C₂²	1	2	yes	—
56	C₄×C₅×#41	C₂²	1	2	yes	—
57	C₂×C₅×#117	—	2	1	no	—
58	C₂×C₅×#117	—	2	1	no	—
59	C₂×C₅×#117	C₂²	1	1	yes	characteristic
60	C₂×C₅×#117	C₂²	1	1	yes	characteristic
61	C₅×#485	C₂²	1	2	yes	—
62	C₅×#485	C₂²	1	2	yes	—
63	C₅×#485	C₂²	1	2	yes	—
64	C₅×#485	C₂²	1	2	yes	complemented
65	C₅×#485	C₂²	1	2	yes	complemented
66	C₅×#485	C₂²	1	2	yes	complemented
67	C₅×#482	C₂²	1	2	yes	—
68	C₅×#482	C₂²	1	2	yes	complemented
69	C₅×#479	C₂²	1	2	yes	complemented
70	C₅×#479	C₂²	1	2	yes	complemented
71	C₅×#478	C₂²	1	2	yes	complemented
72	C₅×#478	C₂²	1	2	yes	complemented
73	C₅×#477	C₂²	1	2	yes	complemented
74	C₅×#476	C₂²	1	2	yes	complemented
75	C₅×#475	C₂²	1	2	yes	complemented
76	C₅×#474	C₂²	1	2	yes	complemented
77	C₅×#464	C₂²	1	2	yes	complemented
78	C₅×#464	C₂²	1	2	yes	complemented
79	C₅×#463	C₂²	1	2	yes	complemented
80	C₅×#463	C₂²	1	2	yes	complemented
81	C₅×#462	C₂²	1	2	yes	complemented
82	C₅×#462	C₂²	1	2	yes	complemented
83	C₅×#461	C₂²	1	2	yes	complemented
84	C₅×#461	C₂²	1	2	yes	complemented
85	C₅×#452	C₂²	1	1	yes	characteristic
86	C₅×#452	C₂²	1	1	yes	characteristic
87	C₅×#452	C₂²	1	2	yes	—
88	C₅×#452	C₂²	1	2	yes	—
89	C₅×#451	C₂²	1	1	yes	characteristic
90	C₅×#451	C₂²	1	2	yes	—
91	C₅×#450	C₂²	1	1	yes	characteristic
92	C₅×#450	C₂²	1	2	yes	—
93	C₅×#449	C₂²	1	1	yes	characteristic
94	C₅×#449	C₂²	1	1	yes	characteristic
95	C₅×#448	C₂²	1	1	yes	characteristic
96	C₅×#447	C₂²	1	1	yes	characteristic
97	C₅×#442	C₂²	1	2	yes	complemented
98	C₅×#441	C₂²	1	2	yes	complemented
99	C₅×#441	C₂²	1	2	yes	complemented
100	C₅×#441	C₂²	1	2	yes	complemented
101	C₅×#440	C₂²	1	2	yes	complemented
102	C₅×#440	C₂²	1	2	yes	complemented
103	C₅×#440	C₂²	1	2	yes	complemented
104	C₅×#440	C₂²	1	2	yes	complemented
105	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
106	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
107	C₄×C₅×Q₁₆	C₂²	1	2	yes	complemented
108	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
109	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
110	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
111	C₄×C₅×SD₁₆	C₂²	1	2	yes	complemented
112	C₄×C₅×D₈	C₂²	1	2	yes	complemented
113	C₅×#433	C₂²	1	2	yes	—
114	C₅×#433	C₂²	1	2	yes	—
115	C₅×#432	C₂²	1	2	yes	complemented
116	C₅×#431	C₂²	1	2	yes	complemented
117	C₅×#428	C₂²	1	1	yes	characteristic, complemented
118	C₅×#428	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₅×#107	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₅×#106	C₂²	1	1	yes	characteristic, complemented
121	C₅×#424	C₂²	1	1	yes	characteristic, complemented
122	C₅×#424	C₂²	1	1	yes	characteristic, complemented
123	C₅×#417	C₂²	1	1	yes	characteristic
124	C₅×#417	C₂²	1	1	yes	characteristic
125	C₅×#417	C₂²	1	1	yes	characteristic, complemented
126	C₅×#417	C₂²	1	1	yes	characteristic, complemented
127	C₅×#416	C₂²	1	1	yes	characteristic
128	C₅×#416	C₂²	1	1	yes	characteristic
129	C₂×C₅×#103	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₅×#103	C₂²	1	1	yes	characteristic, complemented
131	C₅×#407	C₂²	1	1	yes	characteristic
132	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
133	C₅×#405	C₂²	1	1	yes	characteristic, complemented
134	C₅×#405	C₂²	1	1	yes	characteristic, complemented
135	#60586	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
136	C₂×C₅×#41	—	2	4	no	—
137	C₂×C₅×#41	—	2	4	no	—
138	C₂×C₅×#41	—	2	1	no	—
139	C₂×C₅×#41	—	2	1	no	—
140	C₂×C₅×#41	C₂³	1	1	yes	characteristic
141	C₂×C₅×#41	C₂³	1	1	yes	characteristic
142	C₂×C₅×#41	C₂³	1	1	yes	characteristic
143	C₂×C₅×#41	C₂³	1	1	yes	characteristic
144	C₂×C₅×#41	C₂³	1	1	yes	characteristic
145	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
146	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
147	C₂²×C₅×D₄	—	2	1	no	—
148	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₅	—	2	1	no	—
150	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
151	C₅×#137	—	2	4	no	—
152	C₅×#137	—	2	4	no	—
153	C₅×#135	—	2	4	no	—
154	C₅×#135	—	2	4	no	—
155	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
157	C₂×C₅×Q₁₆	C₂³	1	2	yes	—
158	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
159	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₅×SD₁₆	C₂³	1	2	yes	—
163	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
166	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
167	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
168	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
169	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
170	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
171	C₅×C₄⋊Q₈	—	2	1	no	—
172	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₅×C₄⋊Q₈	C₂³	1	2	yes	—
174	C₅×#126	—	2	2	no	—
175	C₅×#126	—	2	2	no	—
176	C₅×#126	—	2	2	no	—
177	C₅×#126	—	2	2	no	—
178	C₅×#125	—	2	2	no	—
179	C₅×#125	—	2	2	no	—
180	C₅×#125	—	2	1	no	—
181	C₅×#125	—	2	2	no	—
182	C₅×#125	C₂³	1	2	yes	—
183	C₅×#124	—	2	2	no	—
184	C₅×#124	C₂³	1	2	yes	—
185	C₅×#123	—	2	1	no	—
186	C₅×#123	—	2	2	no	—
187	C₅×#123	—	2	2	no	—
188	C₅×#123	—	2	2	no	—
189	C₅×C₂²⋊Q₈	—	2	1	no	—
190	C₅×C₂²⋊Q₈	—	2	1	no	—
191	C₅×C₂²⋊Q₈	—	2	2	no	—
192	C₅×C₂²⋊Q₈	—	2	1	no	—
193	C₅×C₂²⋊Q₈	—	2	1	no	—
194	C₅×C₂²⋊Q₈	—	2	2	no	—
195	C₅×C₂²⋊Q₈	—	2	2	no	—
196	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
198	C₅×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
200	C₅×#121	C₂³	1	1	yes	characteristic
201	C₅×#121	C₂³	1	1	yes	characteristic
202	C₅×#120	—	2	1	no	—
203	C₄×C₅×Q₈	—	2	2	no	—
204	C₄×C₅×Q₈	—	2	2	no	—
205	C₄×C₅×Q₈	—	2	1	no	—
206	C₄×C₅×Q₈	—	2	1	no	—
207	C₄×C₅×Q₈	—	2	2	no	—
208	C₄×C₅×Q₈	C₂³	1	2	yes	—
209	C₄×C₅×Q₈	C₂³	1	2	yes	—
210	C₄×C₅×Q₈	C₂³	1	2	yes	—
211	C₄×C₅×Q₈	C₂³	1	2	yes	—
212	C₄×C₅×Q₈	C₂³	1	2	yes	—
213	C₄×C₅×Q₈	C₂³	1	2	yes	—
214	C₄×C₅×Q₈	C₂³	1	2	yes	—
215	C₄×C₅×D₄	—	2	2	no	—
216	C₄×C₅×D₄	—	2	2	no	—
217	C₄×C₅×D₄	—	2	2	no	—
218	C₄×C₅×D₄	—	2	2	no	—
219	C₄×C₅×D₄	—	2	1	no	—
220	C₄×C₅×D₄	—	2	1	no	—
221	C₄×C₅×D₄	—	2	2	no	—
222	C₄×C₅×D₄	—	2	2	no	—
223	C₄×C₅×D₄	—	2	2	no	—
224	C₄×C₅×D₄	—	2	2	no	—
225	C₄×C₅×D₄	—	2	2	no	—
226	C₄×C₅×D₄	—	2	2	no	—
227	C₄×C₅×D₄	—	2	2	no	—
228	C₄×C₅×D₄	—	2	2	no	—
229	C₄×C₅×D₄	C₂³	1	2	yes	—
230	C₄×C₅×D₄	C₂³	1	2	yes	—
231	C₄×C₅×D₄	C₂³	1	2	yes	—
232	C₄×C₅×D₄	C₂³	1	2	yes	—
233	C₄×C₅×D₄	C₂³	1	2	yes	—
234	C₅×#117	—	2	1	no	—
235	C₅×#117	—	2	1	no	—
236	C₅×#117	—	2	2	no	—
237	C₅×#117	—	2	1	no	—
238	C₅×#117	—	2	1	no	—
239	C₅×#117	—	2	1	no	—
240	C₅×#117	—	2	1	no	—
241	C₅×#117	—	2	1	no	—
242	C₅×#117	—	2	2	no	—
243	C₅×#117	—	2	2	no	—
244	C₅×#117	—	2	2	no	—
245	C₅×#117	—	2	2	no	—
246	C₅×#117	—	2	2	no	—
247	C₅×#117	—	2	2	no	—
248	C₅×#117	D₄	1	1	yes	characteristic
249	C₅×#117	D₄	1	1	yes	characteristic
250	C₅×#117	D₄	1	2	yes	—
251	C₅×#117	C₂³	1	1	yes	characteristic
252	C₅×#117	C₂³	1	2	yes	—
253	C₅×#117	C₂³	1	2	yes	—
254	C₅×#117	C₂³	1	1	yes	characteristic
255	C₅×#117	C₂³	1	1	yes	characteristic
256	C₅×#117	C₂³	1	2	yes	—
257	C₂×C₅×C₄⋊C₄	—	2	1	no	—
258	C₂×C₅×C₄⋊C₄	—	2	1	no	—
259	C₂×C₅×C₄⋊C₄	—	2	1	no	—
260	C₂×C₅×C₄⋊C₄	—	2	1	no	—
261	C₂×C₅×C₄⋊C₄	—	2	1	no	—
262	C₂×C₅×C₄⋊C₄	—	2	1	no	—
263	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
264	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
265	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
269	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
271	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₅×C₂²⋊C₄	D₄	1	2	yes	—
273	C₂×C₄²×C₅	—	2	1	no	—
274	C₂×C₄²×C₅	—	2	2	no	—
275	C₂×C₄²×C₅	—	2	2	no	—
276	C₂×C₄²×C₅	C₂³	1	2	yes	—
277	C₅×#107	C₂³	1	2	yes	—
278	C₅×#107	C₂³	1	2	yes	—
279	C₅×#107	C₂³	1	2	yes	—
280	C₅×#107	C₂³	1	2	yes	—
281	C₅×#106	C₂³	1	2	yes	—
282	C₅×#106	C₂³	1	2	yes	—
283	C₅×#106	C₂³	1	2	yes	—
284	C₅×#106	C₂³	1	2	yes	—
285	C₅×C₄⋊C₈	C₂³	1	2	yes	—
286	C₅×C₄⋊C₈	C₂³	1	2	yes	—
287	C₅×C₄⋊C₈	C₂³	1	2	yes	—
288	C₅×C₄⋊C₈	C₂³	1	2	yes	—
289	C₅×#103	C₂³	1	2	yes	—
290	C₅×#103	C₂³	1	2	yes	—
291	C₅×#103	C₂³	1	2	yes	—
292	C₅×#103	C₂³	1	2	yes	—
293	C₅×#103	C₂³	1	1	yes	characteristic
294	C₅×#103	C₂³	1	1	yes	characteristic
295	C₅×#103	C₂³	1	1	yes	characteristic
296	C₅×#103	C₂³	1	1	yes	characteristic
297	C₅×#103	C₂³	1	2	yes	—
298	C₅×#103	C₂³	1	2	yes	—
299	C₅×#103	C₂³	1	2	yes	—
300	C₅×#103	C₂³	1	2	yes	—
301	C₅×#102	C₂³	1	1	yes	characteristic
302	C₅×#102	C₂³	1	1	yes	characteristic
303	C₅×#102	C₂³	1	1	yes	characteristic
304	C₅×#102	C₂³	1	1	yes	characteristic
305	C₅×#102	C₂³	1	2	yes	—
306	C₅×#102	C₂³	1	2	yes	—
307	C₅×#102	C₂³	1	2	yes	—
308	C₅×#102	C₂³	1	2	yes	—
309	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
311	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
312	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
313	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
315	C₅×#97	C₂³	1	2	yes	—
316	C₅×#97	C₂³	1	2	yes	—
317	C₄×C₅×C₈	C₂³	1	2	yes	—
318	C₄×C₅×C₈	C₂³	1	2	yes	—
319	#3495	C₂×C₅	1	1	yes	characteristic, complemented
320	#3428	C₂×C₅	1	1	yes	characteristic, complemented
321	#3127	C₂×C₅	1	2	yes	complemented
322	#3123	C₂×C₅	1	2	yes	complemented
323	#3121	C₂×C₅	1	2	yes	complemented
324	#3118	C₂×C₅	1	2	yes	complemented
325	#3116	C₂×C₅	1	2	yes	complemented
326	#3111	C₂×C₅	1	2	yes	complemented
327	#3107	C₂×C₅	1	2	yes	complemented
328	#3102	C₂×C₅	1	2	yes	complemented
329	#3093	C₂×C₅	1	1	yes	characteristic, complemented
330	C₂×#485	C₂×C₅	1	1	yes	characteristic, complemented
331	#3084	C₂×C₅	1	1	yes	characteristic, complemented
332	#3083	C₂×C₅	1	1	yes	characteristic, complemented
333	#3046	C₂×C₅	1	1	yes	characteristic, complemented
334	#3046	C₂×C₅	1	1	yes	characteristic, complemented
335	#3007	C₂×C₅	1	1	yes	characteristic, complemented
336	#3002	C₂×C₅	1	1	yes	characteristic
337	#2952	C₂×C₅	1	1	yes	characteristic, complemented
338	#2951	C₂×C₅	1	1	yes	characteristic, complemented
339	#2947	C₂×C₅	1	1	yes	characteristic, complemented
340	#2947	C₂×C₅	1	1	yes	characteristic, complemented
341	#2924	C₂×C₅	1	1	yes	characteristic, complemented
342	C₂⁴×C₅	—	2	1	no	—
343	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
344	C₅×#41	—	2	8	no	—
345	C₅×#41	—	2	8	no	—
346	C₅×#41	—	2	2	no	—
347	C₅×#41	—	2	2	no	—
348	C₅×#41	—	2	2	no	—
349	C₅×#41	—	2	2	no	—
350	C₅×#41	—	2	2	no	—
351	C₅×#41	—	2	2	no	—
352	C₅×#41	—	2	2	no	—
353	C₅×#41	—	2	2	no	—
354	C₅×#41	#41	1	4	yes	—
355	C₅×#41	#41	1	4	yes	—
356	C₂×C₅×Q₈	—	2	2	no	—
357	C₂×C₅×Q₈	—	2	2	no	—
358	C₂×C₅×Q₈	—	2	1	no	—
359	C₂×C₅×Q₈	—	2	1	no	—
360	C₂×C₅×Q₈	—	2	2	no	—
361	C₂×C₅×Q₈	—	2	2	no	—
362	C₂×C₅×Q₈	—	2	2	no	—
363	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
364	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
365	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
366	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
367	C₂×C₅×D₄	—	2	8	no	—
368	C₂×C₅×D₄	—	2	1	no	—
369	C₂×C₅×D₄	—	2	1	no	—
370	C₂×C₅×D₄	—	2	1	no	—
371	C₂×C₅×D₄	—	2	1	no	—
372	C₂×C₅×D₄	—	2	2	no	—
373	C₂×C₅×D₄	—	2	2	no	—
374	C₂×C₅×D₄	—	2	1	no	—
375	C₂×C₅×D₄	—	2	1	no	—
376	C₂×C₅×D₄	—	2	1	no	—
377	C₂×C₅×D₄	—	2	1	no	—
378	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
379	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
380	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₅	—	2	8	no	—
382	C₂²×C₄×C₅	—	2	1	no	—
383	C₂²×C₄×C₅	—	2	1	no	—
384	C₂²×C₄×C₅	—	2	1	no	—
385	C₂²×C₄×C₅	—	2	1	no	—
386	C₂²×C₄×C₅	—	2	1	no	—
387	C₂²×C₄×C₅	—	2	2	no	—
388	C₂²×C₄×C₅	—	2	2	no	—
389	C₂²×C₄×C₅	—	2	1	no	—
390	C₂²×C₄×C₅	—	2	1	no	—
391	C₂²×C₄×C₅	—	2	1	no	—
392	C₂²×C₄×C₅	—	2	1	no	—
393	C₂²×C₄×C₅	—	2	1	no	—
394	C₂²×C₄×C₅	—	2	2	no	—
395	C₂²×C₄×C₅	—	2	2	no	—
396	C₂²×C₄×C₅	—	2	2	no	—
397	C₂²×C₄×C₅	—	2	2	no	—
398	C₂²×C₄×C₅	—	2	2	no	—
399	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
400	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
403	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₅×Q₁₆	—	2	2	no	—
408	C₅×Q₁₆	—	2	2	no	—
409	C₅×Q₁₆	—	2	4	no	—
410	C₅×Q₁₆	—	2	4	no	—
411	C₅×SD₁₆	—	2	2	no	—
412	C₅×SD₁₆	—	2	2	no	—
413	C₅×SD₁₆	—	2	2	no	—
414	C₅×SD₁₆	—	2	2	no	—
415	C₅×SD₁₆	—	2	4	no	—
416	C₅×SD₁₆	—	2	4	no	—
417	C₅×D₈	—	2	2	no	—
418	C₅×D₈	—	2	2	no	—
419	C₅×M₁₆	—	2	2	no	—
420	C₅×M₁₆	—	2	2	no	—
421	C₂×C₅×C₈	—	2	2	no	—
422	C₂×C₅×C₈	—	2	2	no	—
423	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
424	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
425	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
426	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
427	C₂×C₅×C₈	C₂⁴	1	2	yes	—
428	C₂×C₅×C₈	C₂⁴	1	2	yes	—
429	C₅×C₄⋊C₄	—	2	1	no	—
430	C₅×C₄⋊C₄	—	2	1	no	—
431	C₅×C₄⋊C₄	—	2	1	no	—
432	C₅×C₄⋊C₄	—	2	2	no	—
433	C₅×C₄⋊C₄	—	2	2	no	—
434	C₅×C₄⋊C₄	—	2	2	no	—
435	C₅×C₄⋊C₄	—	2	2	no	—
436	C₅×C₄⋊C₄	—	2	2	no	—
437	C₅×C₄⋊C₄	—	2	2	no	—
438	C₅×C₄⋊C₄	—	2	2	no	—
439	C₅×C₄⋊C₄	—	2	2	no	—
440	C₅×C₄⋊C₄	—	2	2	no	—
441	C₅×C₄⋊C₄	—	2	2	no	—
442	C₅×C₄⋊C₄	—	2	2	no	—
443	C₅×C₄⋊C₄	—	2	2	no	—
444	C₅×C₄⋊C₄	—	2	1	no	—
445	C₅×C₄⋊C₄	—	2	2	no	—
446	C₅×C₄⋊C₄	—	2	1	no	—
447	C₅×C₄⋊C₄	—	2	2	no	—
448	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
449	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
450	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
452	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
453	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
454	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
455	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
456	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
457	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
458	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
459	C₅×C₂²⋊C₄	—	2	2	no	—
460	C₅×C₂²⋊C₄	—	2	2	no	—
461	C₅×C₂²⋊C₄	—	2	2	no	—
462	C₅×C₂²⋊C₄	—	2	2	no	—
463	C₅×C₂²⋊C₄	—	2	1	no	—
464	C₅×C₂²⋊C₄	—	2	1	no	—
465	C₅×C₂²⋊C₄	—	2	1	no	—
466	C₅×C₂²⋊C₄	—	2	2	no	—
467	C₅×C₂²⋊C₄	—	2	2	no	—
468	C₅×C₂²⋊C₄	—	2	2	no	—
469	C₅×C₂²⋊C₄	—	2	2	no	—
470	C₅×C₂²⋊C₄	—	2	1	no	—
471	C₅×C₂²⋊C₄	—	2	2	no	—
472	C₅×C₂²⋊C₄	—	2	2	no	—
473	C₅×C₂²⋊C₄	—	2	1	no	—
474	C₅×C₂²⋊C₄	—	2	2	no	—
475	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
476	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
477	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
478	C₅×C₂²⋊C₄	C₂×D₄	1	2	yes	—
479	C₄²×C₅	—	2	2	no	—
480	C₄²×C₅	—	2	2	no	—
481	C₄²×C₅	—	2	2	no	—
482	C₄²×C₅	—	2	2	no	—
483	C₄²×C₅	—	2	2	no	—
484	C₄²×C₅	—	2	2	no	—
485	C₄²×C₅	—	2	2	no	—
486	C₄²×C₅	—	2	2	no	—
487	C₄²×C₅	—	2	2	no	—
488	C₄²×C₅	—	2	1	no	—
489	C₄²×C₅	C₂×D₄	1	2	yes	—
490	C₄²×C₅	C₂×D₄	1	2	yes	—
491	C₄²×C₅	C₂⁴	1	2	yes	—
492	C₄²×C₅	C₂⁴	1	2	yes	—
493	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
494	C₂×#137	C₂²×C₅	1	1	yes	characteristic
495	C₂×#137	C₂²×C₅	1	1	yes	characteristic
496	C₂×#135	C₂²×C₅	1	1	yes	characteristic
497	C₂×#135	C₂²×C₅	1	1	yes	characteristic
498	#556	—	2	1	no	—
499	#554	—	2	1	no	—
500	#552	—	2	2	no	—
501	#552	—	2	1	no	—
502	#552	—	2	1	no	—
503	#551	—	2	2	no	—
504	#544	C₂²×C₅	1	1	yes	characteristic, complemented
505	#542	C₂²×C₅	1	2	yes	—
506	#541	C₂²×C₅	1	2	yes	—
507	#536	C₂²×C₅	1	1	yes	characteristic, complemented
508	#533	C₂²×C₅	1	2	yes	complemented
509	#529	C₂²×C₅	1	2	yes	complemented
510	#525	C₂²×C₅	1	1	yes	characteristic
511	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
512	#520	—	2	1	no	—
513	#520	—	2	1	no	—
514	#520	C₂²×C₅	1	1	yes	characteristic
515	#520	C₂²×C₅	1	1	yes	characteristic
516	#520	C₂²×C₅	1	1	yes	characteristic
517	#520	C₂²×C₅	1	1	yes	characteristic
518	#520	C₂²×C₅	1	1	yes	characteristic, complemented
519	#519	C₂²×C₅	1	2	yes	—
520	#519	C₂²×C₅	1	1	yes	characteristic, complemented
521	#518	—	2	2	no	—
522	#518	C₂²×C₅	1	2	yes	—
523	C₄×#41	—	2	2	no	—
524	C₄×#41	C₂²×C₅	1	2	yes	—
525	C₄×#41	C₂²×C₅	1	2	yes	—
526	C₂×#117	—	2	1	no	—
527	C₂×#117	—	2	1	no	—
528	C₂×#117	C₂²×C₅	1	1	yes	characteristic
529	C₂×#117	C₂²×C₅	1	1	yes	characteristic
530	#485	C₂²×C₅	1	2	yes	—
531	#485	C₂²×C₅	1	2	yes	—
532	#485	C₂²×C₅	1	2	yes	—
533	#485	C₂²×C₅	1	2	yes	complemented
534	#485	C₂²×C₅	1	2	yes	complemented
535	#485	C₂²×C₅	1	2	yes	complemented
536	#482	C₂²×C₅	1	2	yes	—
537	#482	C₂²×C₅	1	2	yes	complemented
538	#479	C₂²×C₅	1	2	yes	complemented
539	#479	C₂²×C₅	1	2	yes	complemented
540	#478	C₂²×C₅	1	2	yes	complemented
541	#478	C₂²×C₅	1	2	yes	complemented
542	#477	C₂²×C₅	1	2	yes	complemented
543	#476	C₂²×C₅	1	2	yes	complemented
544	#475	C₂²×C₅	1	2	yes	complemented
545	#474	C₂²×C₅	1	2	yes	complemented
546	#464	C₂²×C₅	1	2	yes	complemented
547	#464	C₂²×C₅	1	2	yes	complemented
548	#463	C₂²×C₅	1	2	yes	complemented
549	#463	C₂²×C₅	1	2	yes	complemented
550	#462	C₂²×C₅	1	2	yes	complemented
551	#462	C₂²×C₅	1	2	yes	complemented
552	#461	C₂²×C₅	1	2	yes	complemented
553	#461	C₂²×C₅	1	2	yes	complemented
554	#452	C₂²×C₅	1	2	yes	—
555	#452	C₂²×C₅	1	1	yes	characteristic
556	#452	C₂²×C₅	1	2	yes	—
557	#452	C₂²×C₅	1	1	yes	characteristic
558	#451	C₂²×C₅	1	2	yes	—
559	#451	C₂²×C₅	1	1	yes	characteristic
560	#450	C₂²×C₅	1	2	yes	—
561	#450	C₂²×C₅	1	1	yes	characteristic
562	#449	C₂²×C₅	1	1	yes	characteristic
563	#449	C₂²×C₅	1	1	yes	characteristic
564	#448	C₂²×C₅	1	1	yes	characteristic
565	#447	C₂²×C₅	1	1	yes	characteristic
566	#442	C₂²×C₅	1	2	yes	complemented
567	#441	C₂²×C₅	1	2	yes	complemented
568	#441	C₂²×C₅	1	2	yes	complemented
569	#441	C₂²×C₅	1	2	yes	complemented
570	#440	C₂²×C₅	1	2	yes	complemented
571	#440	C₂²×C₅	1	2	yes	complemented
572	#440	C₂²×C₅	1	2	yes	complemented
573	#440	C₂²×C₅	1	2	yes	complemented
574	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
575	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
576	C₄×Q₁₆	C₂²×C₅	1	2	yes	complemented
577	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
578	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
579	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
580	C₄×SD₁₆	C₂²×C₅	1	2	yes	complemented
581	C₄×D₈	C₂²×C₅	1	2	yes	complemented
582	#433	C₂²×C₅	1	2	yes	—
583	#433	C₂²×C₅	1	2	yes	—
584	#432	C₂²×C₅	1	2	yes	complemented
585	#431	C₂²×C₅	1	2	yes	complemented
586	#428	C₂²×C₅	1	1	yes	characteristic, complemented
587	#428	C₂²×C₅	1	1	yes	characteristic, complemented
588	C₂×#107	C₂²×C₅	1	1	yes	characteristic, complemented
589	C₂×#106	C₂²×C₅	1	1	yes	characteristic, complemented
590	#424	C₂²×C₅	1	1	yes	characteristic, complemented
591	#424	C₂²×C₅	1	1	yes	characteristic, complemented
592	#417	C₂²×C₅	1	1	yes	characteristic
593	#417	C₂²×C₅	1	1	yes	characteristic
594	#417	C₂²×C₅	1	1	yes	characteristic, complemented
595	#417	C₂²×C₅	1	1	yes	characteristic, complemented
596	#416	C₂²×C₅	1	1	yes	characteristic
597	#416	C₂²×C₅	1	1	yes	characteristic
598	C₂×#103	C₂²×C₅	1	1	yes	characteristic, complemented
599	C₂×#103	C₂²×C₅	1	1	yes	characteristic, complemented
600	#407	C₂²×C₅	1	1	yes	characteristic
601	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
602	#405	C₂²×C₅	1	1	yes	characteristic, complemented
603	#405	C₂²×C₅	1	1	yes	characteristic, complemented
604	C₂³×C₅	—	2	4	no	—
605	C₂³×C₅	—	2	1	no	—
606	C₂³×C₅	—	2	1	no	—
607	C₂³×C₅	—	2	2	no	—
608	C₂³×C₅	—	2	1	no	—
609	C₂³×C₅	—	4	1	no	—
610	C₂³×C₅	—	4	1	no	—
611	C₂³×C₅	—	8	1	no	—
612	C₂³×C₅	—	8	1	no	—
613	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
614	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
615	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
616	C₅×Q₈	—	2	4	no	—
617	C₅×Q₈	—	2	1	no	—
618	C₅×Q₈	—	2	1	no	—
619	C₅×Q₈	—	2	2	no	—
620	C₅×Q₈	—	2	2	no	—
621	C₅×Q₈	—	2	1	no	—
622	C₅×Q₈	—	2	1	no	—
623	C₅×Q₈	—	4	2	no	—
624	C₅×Q₈	—	8	2	no	—
625	C₅×Q₈	C₂×#41	1	2	yes	—
626	C₅×Q₈	C₂×#41	1	2	yes	—
627	C₅×D₄	—	2	4	no	—
628	C₅×D₄	—	2	4	no	—
629	C₅×D₄	—	2	4	no	—
630	C₅×D₄	—	2	4	no	—
631	C₅×D₄	—	2	4	no	—
632	C₅×D₄	—	2	1	no	—
633	C₅×D₄	—	2	1	no	—
634	C₅×D₄	—	2	1	no	—
635	C₅×D₄	—	2	1	no	—
636	C₅×D₄	—	4	2	no	—
637	C₅×D₄	—	4	2	no	—
638	C₅×D₄	—	8	1	no	—
639	C₅×D₄	C₂×#41	1	2	yes	—
640	C₅×D₄	C₂×#41	1	2	yes	—
641	C₂×C₄×C₅	—	2	4	no	—
642	C₂×C₄×C₅	—	2	4	no	—
643	C₂×C₄×C₅	—	2	4	no	—
644	C₂×C₄×C₅	—	2	2	no	—
645	C₂×C₄×C₅	—	2	1	no	—
646	C₂×C₄×C₅	—	2	1	no	—
647	C₂×C₄×C₅	—	2	2	no	—
648	C₂×C₄×C₅	—	2	4	no	—
649	C₂×C₄×C₅	—	2	4	no	—
650	C₂×C₄×C₅	—	2	2	no	—
651	C₂×C₄×C₅	—	2	1	no	—
652	C₂×C₄×C₅	—	2	1	no	—
653	C₂×C₄×C₅	—	2	1	no	—
654	C₂×C₄×C₅	—	2	1	no	—
655	C₂×C₄×C₅	—	2	2	no	—
656	C₂×C₄×C₅	—	2	2	no	—
657	C₂×C₄×C₅	—	2	1	no	—
658	C₂×C₄×C₅	—	2	1	no	—
659	C₂×C₄×C₅	—	2	2	no	—
660	C₂×C₄×C₅	—	2	1	no	—
661	C₂×C₄×C₅	—	2	2	no	—
662	C₂×C₄×C₅	—	4	2	no	—
663	C₂×C₄×C₅	—	4	2	no	—
664	C₂×C₄×C₅	—	4	2	no	—
665	C₂×C₄×C₅	—	4	2	no	—
666	C₂×C₄×C₅	—	8	2	no	—
667	C₂×C₄×C₅	—	8	2	no	—
668	C₂×C₄×C₅	—	8	2	no	—
669	C₂×C₄×C₅	—	8	2	no	—
670	C₂×C₄×C₅	—	8	2	no	—
671	C₂×C₄×C₅	—	8	1	no	—
672	C₂×C₄×C₅	—	8	1	no	—
673	C₂×C₄×C₅	—	8	1	no	—
674	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
675	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
676	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
677	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
678	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
679	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
680	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
681	C₂×C₄×C₅	C₂×#41	1	2	yes	—
682	C₂×C₄×C₅	C₂×#41	1	2	yes	—
683	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
684	C₅×C₈	—	2	1	no	—
685	C₅×C₈	—	2	1	no	—
686	C₅×C₈	—	2	1	no	—
687	C₅×C₈	—	2	1	no	—
688	C₅×C₈	—	2	2	no	—
689	C₅×C₈	—	2	2	no	—
690	C₂×#41	—	2	4	no	—
691	C₂×#41	—	2	4	no	—
692	C₂×#41	—	2	1	no	—
693	C₂×#41	—	2	1	no	—
694	C₂×#41	C₂³×C₅	1	1	yes	characteristic
695	C₂×#41	C₂³×C₅	1	1	yes	characteristic
696	C₂×#41	C₂³×C₅	1	1	yes	characteristic
697	C₂×#41	C₂³×C₅	1	1	yes	characteristic
698	C₂×#41	C₂³×C₅	1	1	yes	characteristic
699	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
700	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
701	C₂²×D₄	—	2	1	no	—
702	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
703	C₂³×C₄	—	2	1	no	—
704	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
705	#137	—	2	4	no	—
706	#137	—	2	4	no	—
707	#135	—	2	4	no	—
708	#135	—	2	4	no	—
709	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
710	C₂×Q₁₆	C₂³×C₅	1	1	yes	characteristic
711	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
712	C₂×Q₁₆	C₂³×C₅	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
714	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
715	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
716	C₂×SD₁₆	C₂³×C₅	1	1	yes	characteristic
717	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
718	C₂×SD₁₆	C₂³×C₅	1	2	yes	—
719	C₂×D₈	C₂³×C₅	1	1	yes	characteristic
720	C₂×D₈	C₂³×C₅	1	1	yes	characteristic
721	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
722	C₂×M₁₆	C₂³×C₅	1	1	yes	characteristic
723	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
724	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
725	C₄⋊Q₈	—	2	1	no	—
726	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
727	C₄⋊Q₈	C₂³×C₅	1	2	yes	—
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	—	2	1	no	—
735	#125	—	2	2	no	—
736	#125	C₂³×C₅	1	2	yes	—
737	#124	—	2	2	no	—
738	#124	C₂³×C₅	1	2	yes	—
739	#123	—	2	1	no	—
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
751	C₂²⋊Q₈	C₂³×C₅	1	2	yes	—
752	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
753	C₂²⋊Q₈	C₂³×C₅	1	1	yes	characteristic
754	#121	C₂³×C₅	1	1	yes	characteristic
755	#121	C₂³×C₅	1	1	yes	characteristic
756	#120	—	2	1	no	—
757	C₄×Q₈	—	2	2	no	—
758	C₄×Q₈	—	2	2	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	—	2	1	no	—
761	C₄×Q₈	—	2	2	no	—
762	C₄×Q₈	C₂³×C₅	1	2	yes	—
763	C₄×Q₈	C₂³×C₅	1	2	yes	—
764	C₄×Q₈	C₂³×C₅	1	2	yes	—
765	C₄×Q₈	C₂³×C₅	1	2	yes	—
766	C₄×Q₈	C₂³×C₅	1	2	yes	—
767	C₄×Q₈	C₂³×C₅	1	2	yes	—
768	C₄×Q₈	C₂³×C₅	1	2	yes	—
769	C₄×D₄	—	2	2	no	—
770	C₄×D₄	—	2	2	no	—
771	C₄×D₄	—	2	2	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	1	no	—
774	C₄×D₄	—	2	1	no	—
775	C₄×D₄	—	2	2	no	—
776	C₄×D₄	—	2	2	no	—
777	C₄×D₄	—	2	2	no	—
778	C₄×D₄	—	2	2	no	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	2	no	—
781	C₄×D₄	—	2	2	no	—
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	C₂³×C₅	1	2	yes	—
784	C₄×D₄	C₂³×C₅	1	2	yes	—
785	C₄×D₄	C₂³×C₅	1	2	yes	—
786	C₄×D₄	C₂³×C₅	1	2	yes	—
787	C₄×D₄	C₂³×C₅	1	2	yes	—
788	#117	—	2	1	no	—
789	#117	—	2	1	no	—
790	#117	—	2	2	no	—
791	#117	—	2	1	no	—
792	#117	—	2	1	no	—
793	#117	—	2	1	no	—
794	#117	—	2	1	no	—
795	#117	—	2	1	no	—
796	#117	—	2	2	no	—
797	#117	—	2	2	no	—
798	#117	—	2	2	no	—
799	#117	—	2	2	no	—
800	#117	—	2	2	no	—
801	#117	—	2	2	no	—
802	#117	C₅×D₄	1	1	yes	characteristic
803	#117	C₅×D₄	1	1	yes	characteristic
804	#117	C₅×D₄	1	2	yes	—
805	#117	C₂³×C₅	1	2	yes	—
806	#117	C₂³×C₅	1	2	yes	—
807	#117	C₂³×C₅	1	1	yes	characteristic
808	#117	C₂³×C₅	1	2	yes	—
809	#117	C₂³×C₅	1	1	yes	characteristic
810	#117	C₂³×C₅	1	1	yes	characteristic
811	C₂×C₄⋊C₄	—	2	1	no	—
812	C₂×C₄⋊C₄	—	2	1	no	—
813	C₂×C₄⋊C₄	—	2	1	no	—
814	C₂×C₄⋊C₄	—	2	1	no	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
818	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	—	2	1	no	—
823	C₂×C₂²⋊C₄	—	2	1	no	—
824	C₂×C₂²⋊C₄	—	2	2	no	—
825	C₂×C₂²⋊C₄	—	2	2	no	—
826	C₂×C₂²⋊C₄	C₅×D₄	1	2	yes	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	—	2	2	no	—
829	C₂×C₄²	—	2	2	no	—
830	C₂×C₄²	C₂³×C₅	1	2	yes	—
831	#107	C₂³×C₅	1	2	yes	—
832	#107	C₂³×C₅	1	2	yes	—
833	#107	C₂³×C₅	1	2	yes	—
834	#107	C₂³×C₅	1	2	yes	—
835	#106	C₂³×C₅	1	2	yes	—
836	#106	C₂³×C₅	1	2	yes	—
837	#106	C₂³×C₅	1	2	yes	—
838	#106	C₂³×C₅	1	2	yes	—
839	C₄⋊C₈	C₂³×C₅	1	2	yes	—
840	C₄⋊C₈	C₂³×C₅	1	2	yes	—
841	C₄⋊C₈	C₂³×C₅	1	2	yes	—
842	C₄⋊C₈	C₂³×C₅	1	2	yes	—
843	#103	C₂³×C₅	1	2	yes	—
844	#103	C₂³×C₅	1	2	yes	—
845	#103	C₂³×C₅	1	2	yes	—
846	#103	C₂³×C₅	1	2	yes	—
847	#103	C₂³×C₅	1	1	yes	characteristic
848	#103	C₂³×C₅	1	1	yes	characteristic
849	#103	C₂³×C₅	1	1	yes	characteristic
850	#103	C₂³×C₅	1	1	yes	characteristic
851	#103	C₂³×C₅	1	2	yes	—
852	#103	C₂³×C₅	1	2	yes	—
853	#103	C₂³×C₅	1	2	yes	—
854	#103	C₂³×C₅	1	2	yes	—
855	#102	C₂³×C₅	1	1	yes	characteristic
856	#102	C₂³×C₅	1	1	yes	characteristic
857	#102	C₂³×C₅	1	1	yes	characteristic
858	#102	C₂³×C₅	1	1	yes	characteristic
859	#102	C₂³×C₅	1	2	yes	—
860	#102	C₂³×C₅	1	2	yes	—
861	#102	C₂³×C₅	1	2	yes	—
862	#102	C₂³×C₅	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
864	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
865	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
866	C₂²⋊C₈	C₂³×C₅	1	1	yes	characteristic
867	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₅	1	2	yes	—
869	#97	C₂³×C₅	1	2	yes	—
870	#97	C₂³×C₅	1	2	yes	—
871	C₄×C₈	C₂³×C₅	1	2	yes	—
872	C₄×C₈	C₂³×C₅	1	2	yes	—
873	C₂²×C₅	—	2	1	no	—
874	C₂²×C₅	—	2	1	no	—
875	C₂²×C₅	—	2	1	no	—
876	C₂²×C₅	—	2	1	no	—
877	C₂²×C₅	—	2	1	no	—
878	C₂²×C₅	—	2	1	no	—
879	C₂²×C₅	—	2	1	no	—
880	C₂²×C₅	—	2	1	no	—
881	C₂²×C₅	—	2	2	no	—
882	C₂²×C₅	—	2	2	no	—
883	C₂²×C₅	—	4	1	no	—
884	C₂²×C₅	—	4	1	no	—
885	C₂²×C₅	—	4	1	no	—
886	C₂²×C₅	—	4	1	no	—
887	C₂²×C₅	—	4	1	no	—
888	C₂²×C₅	—	4	1	no	—
889	C₂²×C₅	—	4	1	no	—
890	C₂²×C₅	—	8	2	no	—
891	C₂²×C₅	—	8	4	no	—
892	C₂²×C₅	#525	1	2	yes	—
893	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
894	C₄×C₅	—	2	2	no	—
895	C₄×C₅	—	2	2	no	—
896	C₄×C₅	—	2	2	no	—
897	C₄×C₅	—	2	2	no	—
898	C₄×C₅	—	2	1	no	—
899	C₄×C₅	—	2	2	no	—
900	C₄×C₅	—	2	2	no	—
901	C₄×C₅	—	2	1	no	—
902	C₄×C₅	—	4	2	no	—
903	C₄×C₅	—	4	2	no	—
904	C₄×C₅	—	4	1	no	—
905	C₄×C₅	—	4	2	no	—
906	C₄×C₅	—	4	1	no	—
907	C₄×C₅	—	4	1	no	—
908	C₄×C₅	—	4	2	no	—
909	C₄×C₅	#525	1	2	yes	—
910	C₄×C₅	C₂²×#41	1	1	yes	characteristic
911	C₄×C₅	C₂²×#41	1	1	yes	characteristic
912	C₂⁴	—	2	1	no	—
913	C₂⁴	C₂×C₅×D₄	1	1	yes	characteristic
914	#41	—	2	8	no	—
915	#41	—	2	8	no	—
916	#41	—	2	2	no	—
917	#41	—	2	2	no	—
918	#41	—	2	2	no	—
919	#41	—	2	2	no	—
920	#41	—	2	2	no	—
921	#41	—	2	2	no	—
922	#41	—	2	2	no	—
923	#41	—	2	2	no	—
924	#41	C₅×#41	1	4	yes	—
925	#41	C₅×#41	1	4	yes	—
926	C₂×Q₈	—	2	2	no	—
927	C₂×Q₈	—	2	2	no	—
928	C₂×Q₈	—	2	1	no	—
929	C₂×Q₈	—	2	1	no	—
930	C₂×Q₈	—	2	2	no	—
931	C₂×Q₈	—	2	2	no	—
932	C₂×Q₈	—	2	2	no	—
933	C₂×Q₈	C₂⁴×C₅	1	2	yes	—
934	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
935	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
936	C₂×Q₈	C₂⁴×C₅	1	1	yes	characteristic
937	C₂×D₄	—	2	8	no	—
938	C₂×D₄	—	2	1	no	—
939	C₂×D₄	—	2	1	no	—
940	C₂×D₄	—	2	1	no	—
941	C₂×D₄	—	2	1	no	—
942	C₂×D₄	—	2	2	no	—
943	C₂×D₄	—	2	2	no	—
944	C₂×D₄	—	2	1	no	—
945	C₂×D₄	—	2	1	no	—
946	C₂×D₄	—	2	1	no	—
947	C₂×D₄	—	2	1	no	—
948	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
949	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
950	C₂×D₄	C₂⁴×C₅	1	1	yes	characteristic
951	C₂²×C₄	—	2	8	no	—
952	C₂²×C₄	—	2	1	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	1	no	—
956	C₂²×C₄	—	2	1	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	1	no	—
960	C₂²×C₄	—	2	1	no	—
961	C₂²×C₄	—	2	1	no	—
962	C₂²×C₄	—	2	1	no	—
963	C₂²×C₄	—	2	1	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
970	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
971	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
972	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
973	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
974	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
975	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
976	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
977	Q₁₆	—	2	2	no	—
978	Q₁₆	—	2	2	no	—
979	Q₁₆	—	2	4	no	—
980	Q₁₆	—	2	4	no	—
981	SD₁₆	—	2	2	no	—
982	SD₁₆	—	2	2	no	—
983	SD₁₆	—	2	2	no	—
984	SD₁₆	—	2	2	no	—
985	SD₁₆	—	2	4	no	—
986	SD₁₆	—	2	4	no	—
987	D₈	—	2	2	no	—
988	D₈	—	2	2	no	—
989	M₁₆	—	2	2	no	—
990	M₁₆	—	2	2	no	—
991	C₂×C₈	—	2	2	no	—
992	C₂×C₈	—	2	2	no	—
993	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
994	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
995	C₂×C₈	C₂⁴×C₅	1	2	yes	—
996	C₂×C₈	C₂⁴×C₅	1	2	yes	—
997	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
998	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
999	C₄⋊C₄	—	2	1	no	—
1000	C₄⋊C₄	—	2	1	no	—
1001	C₄⋊C₄	—	2	1	no	—
1002	C₄⋊C₄	—	2	2	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	2	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	—	2	1	no	—
1017	C₄⋊C₄	—	2	2	no	—
1018	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1019	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1020	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1021	C₄⋊C₄	C₂×C₅×D₄	1	1	yes	characteristic
1022	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1023	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
1024	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1025	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1026	C₄⋊C₄	C₂⁴×C₅	1	1	yes	characteristic
1027	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1028	C₄⋊C₄	C₂⁴×C₅	1	2	yes	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	1	no	—
1034	C₂²⋊C₄	—	2	1	no	—
1035	C₂²⋊C₄	—	2	1	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	1	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	2	no	—
1043	C₂²⋊C₄	—	2	1	no	—
1044	C₂²⋊C₄	—	2	2	no	—
1045	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1046	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1047	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1048	C₂²⋊C₄	C₂×C₅×D₄	1	2	yes	—
1049	C₄²	—	2	2	no	—
1050	C₄²	—	2	2	no	—
1051	C₄²	—	2	2	no	—
1052	C₄²	—	2	2	no	—
1053	C₄²	—	2	2	no	—
1054	C₄²	—	2	2	no	—
1055	C₄²	—	2	2	no	—
1056	C₄²	—	2	2	no	—
1057	C₄²	—	2	2	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	C₂×C₅×D₄	1	2	yes	—
1060	C₄²	C₂×C₅×D₄	1	2	yes	—
1061	C₄²	C₂⁴×C₅	1	2	yes	—
1062	C₄²	C₂⁴×C₅	1	2	yes	—
1063	C₂×C₅	—	2	2	no	—
1064	C₂×C₅	—	4	1	no	—
1065	C₂×C₅	—	4	1	no	—
1066	C₂×C₅	—	4	2	no	—
1067	C₂×C₅	—	4	2	no	—
1068	C₂×C₅	—	8	1	no	—
1069	C₂×C₅	C₂×#525	1	1	yes	characteristic
1070	C₂×C₅	#3584	1	1	yes	characteristic
1071	C₂×C₅	#3586	1	1	yes	characteristic
1072	C₂³	—	2	4	no	—
1073	C₂³	—	2	1	no	—
1074	C₂³	—	2	1	no	—
1075	C₂³	—	2	2	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	4	1	no	—
1078	C₂³	—	4	1	no	—
1079	C₂³	—	8	1	no	—
1080	C₂³	—	8	1	no	—
1081	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1082	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1083	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
1084	Q₈	—	2	4	no	—
1085	Q₈	—	2	1	no	—
1086	Q₈	—	2	1	no	—
1087	Q₈	—	2	2	no	—
1088	Q₈	—	2	2	no	—
1089	Q₈	—	2	1	no	—
1090	Q₈	—	2	1	no	—
1091	Q₈	—	4	2	no	—
1092	Q₈	—	8	2	no	—
1093	Q₈	C₂×C₅×#41	1	2	yes	—
1094	Q₈	C₂×C₅×#41	1	2	yes	—
1095	D₄	—	2	4	no	—
1096	D₄	—	2	4	no	—
1097	D₄	—	2	4	no	—
1098	D₄	—	2	4	no	—
1099	D₄	—	2	4	no	—
1100	D₄	—	2	1	no	—
1101	D₄	—	2	1	no	—
1102	D₄	—	2	1	no	—
1103	D₄	—	2	1	no	—
1104	D₄	—	4	2	no	—
1105	D₄	—	4	2	no	—
1106	D₄	—	8	1	no	—
1107	D₄	C₂×C₅×#41	1	2	yes	—
1108	D₄	C₂×C₅×#41	1	2	yes	—
1109	C₂×C₄	—	2	4	no	—
1110	C₂×C₄	—	2	4	no	—
1111	C₂×C₄	—	2	4	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	4	no	—
1117	C₂×C₄	—	2	4	no	—
1118	C₂×C₄	—	2	2	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	1	no	—
1123	C₂×C₄	—	2	2	no	—
1124	C₂×C₄	—	2	2	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	1	no	—
1127	C₂×C₄	—	2	2	no	—
1128	C₂×C₄	—	2	1	no	—
1129	C₂×C₄	—	2	2	no	—
1130	C₂×C₄	—	4	2	no	—
1131	C₂×C₄	—	4	2	no	—
1132	C₂×C₄	—	4	2	no	—
1133	C₂×C₄	—	4	2	no	—
1134	C₂×C₄	—	8	2	no	—
1135	C₂×C₄	—	8	2	no	—
1136	C₂×C₄	—	8	2	no	—
1137	C₂×C₄	—	8	2	no	—
1138	C₂×C₄	—	8	2	no	—
1139	C₂×C₄	—	8	1	no	—
1140	C₂×C₄	—	8	1	no	—
1141	C₂×C₄	—	8	1	no	—
1142	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1143	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1144	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1145	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1146	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1147	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1148	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
1149	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1150	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1151	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
1152	C₈	—	2	1	no	—
1153	C₈	—	2	1	no	—
1154	C₈	—	2	1	no	—
1155	C₈	—	2	1	no	—
1156	C₈	—	2	2	no	—
1157	C₈	—	2	2	no	—
1158	C₅	#60586	1	1	yes	characteristic, direct product factor, Sylow
1159	C₂²	—	2	1	no	—
1160	C₂²	—	2	1	no	—
1161	C₂²	—	2	1	no	—
1162	C₂²	—	2	1	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	1	no	—
1166	C₂²	—	2	1	no	—
1167	C₂²	—	2	1	no	—
1168	C₂²	—	2	1	no	—
1169	C₂²	—	4	1	no	—
1170	C₂²	—	4	1	no	—
1171	C₂²	—	4	1	no	—
1172	C₂²	—	4	1	no	—
1173	C₂²	—	4	1	no	—
1174	C₂²	—	4	1	no	—
1175	C₂²	—	4	1	no	—
1176	C₂²	—	8	2	no	—
1177	C₂²	—	8	4	no	—
1178	C₂²	C₅×#525	1	2	yes	—
1179	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1180	C₄	—	2	1	no	—
1181	C₄	—	2	2	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	1	no	—
1184	C₄	—	2	2	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	2	2	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	4	1	no	—
1189	C₄	—	4	2	no	—
1190	C₄	—	4	2	no	—
1191	C₄	—	4	2	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	4	2	no	—
1194	C₄	—	4	1	no	—
1195	C₄	C₅×#525	1	2	yes	—
1196	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1197	C₄	C₂²×C₅×#41	1	1	yes	characteristic
1198	C₂	—	2	2	no	—
1199	C₂	—	4	1	no	—
1200	C₂	—	4	1	no	—
1201	C₂	—	4	2	no	—
1202	C₂	—	4	2	no	—
1203	C₂	—	8	1	no	—
1204	C₂	C₂×C₅×#525	1	1	yes	characteristic
1205	C₂	C₅×#3584	1	1	yes	characteristic
1206	C₂	C₅×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
prime radical	C₅×#3002	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₅ ◁ C₂×C₅×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#3495	C₂	semidirect
2. C₅×#3428	C₂	semidirect
3. C₅×#3127	C₂	semidirect
4. C₅×#3123	C₂	semidirect
5. C₅×#3121	C₂	semidirect
6. C₅×#3118	C₂	semidirect
7. C₅×#3116	C₂	semidirect
8. C₅×#3111	C₂	semidirect
9. C₅×#3107	C₂	semidirect
10. C₅×#3102	C₂	semidirect
11. C₅×#3093	C₂	semidirect
12. C₂×C₅×#485	C₂	semidirect
13. C₅×#3084	C₂	semidirect
14. C₅×#3083	C₂	semidirect
15. C₅×#3046	C₂	semidirect
16. C₅×#3046	C₂	semidirect
17. C₅×#3007	C₂	semidirect
19. C₅×#2952	C₂	semidirect
20. C₅×#2951	C₂	semidirect
21. C₅×#2947	C₂	semidirect
22. C₅×#2947	C₂	semidirect
23. C₅×#2924	C₂	semidirect
35. C₅×#544	C₂²	semidirect
38. C₅×#536	C₂²	semidirect
39. C₅×#533	C₂²	semidirect
40. C₅×#529	C₂²	semidirect
49. C₅×#520	C₂²	semidirect
51. C₅×#519	C₂²	semidirect
64. C₅×#485	C₂²	semidirect
65. C₅×#485	C₂²	semidirect
66. C₅×#485	C₂²	semidirect
68. C₅×#482	C₂²	semidirect
69. C₅×#479	C₂²	semidirect
70. C₅×#479	C₂²	semidirect
71. C₅×#478	C₂²	semidirect
72. C₅×#478	C₂²	semidirect
73. C₅×#477	C₂²	semidirect
74. C₅×#476	C₂²	semidirect
75. C₅×#475	C₂²	semidirect
76. C₅×#474	C₂²	semidirect
77. C₅×#464	C₂²	semidirect
78. C₅×#464	C₂²	semidirect
79. C₅×#463	C₂²	semidirect
80. C₅×#463	C₂²	semidirect
81. C₅×#462	C₂²	semidirect
82. C₅×#462	C₂²	semidirect
83. C₅×#461	C₂²	semidirect
84. C₅×#461	C₂²	semidirect
97. C₅×#442	C₂²	semidirect
98. C₅×#441	C₂²	semidirect
99. C₅×#441	C₂²	semidirect
100. C₅×#441	C₂²	semidirect
101. C₅×#440	C₂²	semidirect
102. C₅×#440	C₂²	semidirect
103. C₅×#440	C₂²	semidirect
104. C₅×#440	C₂²	semidirect
105. C₄×C₅×Q₁₆	C₂²	semidirect
106. C₄×C₅×Q₁₆	C₂²	semidirect
107. C₄×C₅×Q₁₆	C₂²	semidirect
108. C₄×C₅×SD₁₆	C₂²	semidirect
109. C₄×C₅×SD₁₆	C₂²	semidirect
110. C₄×C₅×SD₁₆	C₂²	semidirect
111. C₄×C₅×SD₁₆	C₂²	semidirect
112. C₄×C₅×D₈	C₂²	semidirect
115. C₅×#432	C₂²	semidirect
116. C₅×#431	C₂²	semidirect
117. C₅×#428	C₂²	semidirect
118. C₅×#428	C₂²	semidirect
119. C₂×C₅×#107	C₂²	semidirect
120. C₂×C₅×#106	C₂²	semidirect
121. C₅×#424	C₂²	semidirect
122. C₅×#424	C₂²	semidirect
125. C₅×#417	C₂²	semidirect
126. C₅×#417	C₂²	semidirect
129. C₂×C₅×#103	C₂²	semidirect
130. C₂×C₅×#103	C₂²	semidirect
133. C₅×#405	C₂²	semidirect
134. C₅×#405	C₂²	semidirect
135. #60586	C₅	direct (N × H)
319. #3495	C₂×C₅	semidirect
320. #3428	C₂×C₅	semidirect
321. #3127	C₂×C₅	semidirect
322. #3123	C₂×C₅	semidirect
323. #3121	C₂×C₅	semidirect
324. #3118	C₂×C₅	semidirect
325. #3116	C₂×C₅	semidirect
326. #3111	C₂×C₅	semidirect
327. #3107	C₂×C₅	semidirect
328. #3102	C₂×C₅	semidirect
329. #3093	C₂×C₅	semidirect
330. C₂×#485	C₂×C₅	semidirect
331. #3084	C₂×C₅	semidirect
332. #3083	C₂×C₅	semidirect
333. #3046	C₂×C₅	semidirect
334. #3046	C₂×C₅	semidirect
335. #3007	C₂×C₅	semidirect
337. #2952	C₂×C₅	semidirect
338. #2951	C₂×C₅	semidirect
339. #2947	C₂×C₅	semidirect
340. #2947	C₂×C₅	semidirect
341. #2924	C₂×C₅	semidirect
504. #544	C₂²×C₅	semidirect
507. #536	C₂²×C₅	semidirect
508. #533	C₂²×C₅	semidirect
509. #529	C₂²×C₅	semidirect
518. #520	C₂²×C₅	semidirect
520. #519	C₂²×C₅	semidirect
533. #485	C₂²×C₅	semidirect
534. #485	C₂²×C₅	semidirect
535. #485	C₂²×C₅	semidirect
537. #482	C₂²×C₅	semidirect
538. #479	C₂²×C₅	semidirect
539. #479	C₂²×C₅	semidirect
540. #478	C₂²×C₅	semidirect
541. #478	C₂²×C₅	semidirect
542. #477	C₂²×C₅	semidirect
543. #476	C₂²×C₅	semidirect
544. #475	C₂²×C₅	semidirect
545. #474	C₂²×C₅	semidirect
546. #464	C₂²×C₅	semidirect
547. #464	C₂²×C₅	semidirect
548. #463	C₂²×C₅	semidirect
549. #463	C₂²×C₅	semidirect
550. #462	C₂²×C₅	semidirect
551. #462	C₂²×C₅	semidirect
552. #461	C₂²×C₅	semidirect
553. #461	C₂²×C₅	semidirect
566. #442	C₂²×C₅	semidirect
567. #441	C₂²×C₅	semidirect
568. #441	C₂²×C₅	semidirect
569. #441	C₂²×C₅	semidirect
570. #440	C₂²×C₅	semidirect
571. #440	C₂²×C₅	semidirect
572. #440	C₂²×C₅	semidirect
573. #440	C₂²×C₅	semidirect
574. C₄×Q₁₆	C₂²×C₅	semidirect
575. C₄×Q₁₆	C₂²×C₅	semidirect
576. C₄×Q₁₆	C₂²×C₅	semidirect
577. C₄×SD₁₆	C₂²×C₅	semidirect
578. C₄×SD₁₆	C₂²×C₅	semidirect
579. C₄×SD₁₆	C₂²×C₅	semidirect
580. C₄×SD₁₆	C₂²×C₅	semidirect
581. C₄×D₈	C₂²×C₅	semidirect
584. #432	C₂²×C₅	semidirect
585. #431	C₂²×C₅	semidirect
586. #428	C₂²×C₅	semidirect
587. #428	C₂²×C₅	semidirect
588. C₂×#107	C₂²×C₅	semidirect
589. C₂×#106	C₂²×C₅	semidirect
590. #424	C₂²×C₅	semidirect
591. #424	C₂²×C₅	semidirect
594. #417	C₂²×C₅	semidirect
595. #417	C₂²×C₅	semidirect
598. C₂×#103	C₂²×C₅	semidirect
599. C₂×#103	C₂²×C₅	semidirect
602. #405	C₂²×C₅	semidirect
603. #405	C₂²×C₅	semidirect
1158. C₅	#60586	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#3495	2
C₅×#3428	2
C₅×#3127	2
C₅×#3123	2
C₅×#3121	2
C₅×#3118	2
C₅×#3116	2
C₅×#3111	2
C₅×#3107	2
C₅×#3102	2
C₅×#3093	2
C₂×C₅×#485	2
C₅×#3084	2
C₅×#3083	2
C₅×#3046	2
C₅×#3007	2
C₅×#3002	2
C₅×#2952	2
C₅×#2951	2
C₅×#2947	2
C₅×#2924	2
#60586	5

Subgroups — C5×#60586 #11983306

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#60586 #11983306