Subgroups — C₅×#34289 #11957009

Order 1280.

3032 conjugacy classes of subgroups.

The subgroup lattice has 1104 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#547	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×C₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2365	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2364	C₂	1	2	yes	maximal, complemented
6	C₅×#2362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2360	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2359	C₂	1	2	yes	maximal, complemented
9	C₅×#2359	C₂	1	2	yes	maximal, complemented
10	C₅×#2352	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2349	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2344	C₂	1	2	yes	maximal, complemented
13	C₅×#2339	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2339	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2327	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2325	C₂	1	2	yes	maximal, complemented
17	C₅×#2323	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2322	C₂	1	2	yes	maximal, complemented
19	C₄×C₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₅×#123	C₂	1	2	yes	maximal, complemented
21	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₅×#387	C₂	1	2	yes	maximal, complemented
23	C₅×#2275	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
25	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
26	C₅×#547	C₄	1	16	yes	complemented
27	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₅×#123	C₂²	1	2	yes	—
29	C₂×C₅×#123	C₂²	1	2	yes	—
30	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
31	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
32	C₂×C₅×#121	C₂²	1	2	yes	—
33	C₅×#520	—	2	8	no	—
34	C₄×C₅×#41	—	2	8	no	—
35	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
41	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
43	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
44	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
45	C₂×C₄×C₅×D₄	C₂²	1	2	yes	—
46	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₅×#117	C₂²	1	2	yes	—
50	C₂×C₅×#117	C₂²	1	1	yes	characteristic
51	C₂×C₅×#117	C₂²	1	1	yes	characteristic
52	C₂×C₅×#117	C₂²	1	2	yes	—
53	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	—
54	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	—
56	C₂²×C₄²×C₅	C₂²	1	2	yes	—
57	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
58	C₅×#391	C₂²	1	1	yes	characteristic
59	C₅×#391	C₂²	1	1	yes	characteristic
60	C₅×#391	C₂²	1	1	yes	characteristic
61	C₅×#391	C₂²	1	1	yes	characteristic
62	C₅×#389	C₂²	1	1	yes	characteristic
63	C₅×#389	C₂²	1	2	yes	—
64	C₅×#389	C₂²	1	2	yes	—
65	C₅×#389	C₂²	1	2	yes	—
66	C₅×#389	C₂²	1	1	yes	characteristic
67	C₅×#388	C₂²	1	1	yes	characteristic
68	C₅×#388	C₂²	1	1	yes	characteristic
69	C₅×#388	C₂²	1	2	yes	—
70	C₅×#388	C₂²	1	2	yes	—
71	C₅×#388	C₂²	1	2	yes	—
72	C₅×#388	C₂²	1	2	yes	—
73	C₅×#388	C₂²	1	2	yes	—
74	C₅×#387	C₂²	1	1	yes	characteristic
75	C₅×#387	C₂²	1	2	yes	—
76	C₅×#387	C₂²	1	2	yes	—
77	C₅×#387	C₂²	1	2	yes	—
78	C₅×#387	C₂²	1	2	yes	—
79	C₅×#387	C₂²	1	2	yes	—
80	C₅×#387	C₂²	1	2	yes	—
81	C₅×#387	C₂²	1	2	yes	—
82	C₅×#387	C₂²	1	1	yes	characteristic
83	C₅×#387	C₂²	1	2	yes	—
84	C₅×#387	C₂²	1	2	yes	—
85	C₅×#387	C₂²	1	2	yes	—
86	C₅×#387	C₂²	1	2	yes	—
87	C₅×#386	C₂²	1	1	yes	characteristic
88	C₅×#386	C₂²	1	1	yes	characteristic
89	C₅×#386	C₂²	1	2	yes	—
90	C₅×#386	C₂²	1	2	yes	—
91	C₅×#386	C₂²	1	2	yes	—
92	C₅×#386	C₂²	1	2	yes	—
93	C₅×#386	C₂²	1	2	yes	—
94	C₅×#385	C₂²	1	1	yes	characteristic
95	C₅×#385	C₂²	1	1	yes	characteristic
96	C₅×#385	C₂²	1	2	yes	—
97	C₅×#385	C₂²	1	2	yes	—
98	C₅×#385	C₂²	1	2	yes	—
99	C₅×#385	C₂²	1	2	yes	—
100	C₅×#382	C₂²	1	1	yes	characteristic
101	C₅×#381	C₂²	1	2	yes	—
102	C₅×#381	C₂²	1	2	yes	—
103	C₅×#380	C₂²	1	1	yes	characteristic
104	C₅×#380	C₂²	1	1	yes	characteristic
105	C₅×#380	C₂²	1	2	yes	—
106	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₅×C₄⋊C₄	C₂²	1	2	yes	—
111	C₄×C₅×C₄⋊C₄	C₂²	1	2	yes	—
112	C₄×C₅×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
114	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
115	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
116	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₅×#376	C₂²	1	1	yes	characteristic
122	C₂×C₅×#95	C₂²	1	2	yes	—
123	C₂×C₅×#95	C₂²	1	2	yes	—
124	C₂×C₅×#95	C₂²	1	2	yes	—
125	C₂×C₅×#95	C₂²	1	2	yes	—
126	#34289	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
127	C₂×C₅×#41	—	2	4	no	—
128	C₂×C₅×#41	—	2	4	no	—
129	C₂×C₅×#41	—	2	4	no	—
130	C₂×C₅×#41	—	2	4	no	—
131	C₂×C₅×#41	C₂×C₄	1	8	yes	complemented
132	C₂×C₅×#41	C₂×C₄	1	8	yes	complemented
133	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
134	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
135	C₂²×C₅×D₄	C₂³	1	2	yes	—
136	C₂²×C₅×D₄	C₂³	1	2	yes	—
137	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
138	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₅	C₂³	1	2	yes	—
140	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₅	C₂³	1	2	yes	—
142	C₂³×C₄×C₅	C₂³	1	2	yes	—
143	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₅	C₂³	1	2	yes	—
146	C₂³×C₄×C₅	C₂³	1	2	yes	—
147	C₂³×C₄×C₅	C₂³	1	2	yes	—
148	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₅	C₂³	1	2	yes	—
150	C₂³×C₄×C₅	C₂³	1	2	yes	—
151	C₅×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
152	C₅×#123	C₂×C₄	1	16	yes	complemented
153	C₅×#123	C₂×C₄	1	16	yes	complemented
154	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
155	C₅×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
156	C₅×#121	C₂×C₄	1	16	yes	complemented
157	C₄×C₅×Q₈	—	2	4	no	—
158	C₄×C₅×Q₈	—	2	4	no	—
159	C₄×C₅×Q₈	—	2	4	no	—
160	C₄×C₅×Q₈	—	2	4	no	—
161	C₄×C₅×D₄	—	2	4	no	—
162	C₄×C₅×D₄	—	2	4	no	—
163	C₄×C₅×D₄	—	2	4	no	—
164	C₄×C₅×D₄	—	2	8	no	—
165	C₄×C₅×D₄	—	2	8	no	—
166	C₄×C₅×D₄	—	2	8	no	—
167	C₄×C₅×D₄	—	2	8	no	—
168	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
169	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
170	C₄×C₅×D₄	D₄	1	8	yes	complemented
171	C₅×#117	—	2	4	no	—
172	C₅×#117	—	2	8	no	—
173	C₅×#117	—	2	8	no	—
174	C₅×#117	—	2	4	no	—
175	C₂×C₅×C₄⋊C₄	—	2	8	no	—
176	C₂×C₅×C₄⋊C₄	—	2	4	no	—
177	C₂×C₅×C₄⋊C₄	C₂×C₄	1	16	yes	complemented
178	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
184	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
186	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
187	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
188	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
189	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
190	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
191	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
195	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₄²×C₅	—	2	8	no	—
218	C₂×C₄²×C₅	—	2	4	no	—
219	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₅	C₂³	1	2	yes	—
221	C₂×C₄²×C₅	C₂³	1	2	yes	—
222	C₂×C₄²×C₅	C₂³	1	2	yes	—
223	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
225	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₅	C₂³	1	2	yes	—
227	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₅	C₂³	1	2	yes	—
229	C₂×C₄²×C₅	C₂³	1	2	yes	—
230	C₂×C₄²×C₅	C₂³	1	2	yes	—
231	C₂×C₄²×C₅	C₂³	1	2	yes	—
232	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
234	C₅×#95	C₂³	1	1	yes	characteristic
235	C₅×#95	C₂³	1	1	yes	characteristic
236	C₅×#95	C₂³	1	1	yes	characteristic
237	C₅×#95	C₂³	1	1	yes	characteristic
238	C₅×#95	C₂³	1	2	yes	—
239	C₅×#95	C₂³	1	2	yes	—
240	C₅×#95	C₂³	1	2	yes	—
241	C₅×#95	C₂³	1	2	yes	—
242	C₅×#95	C₂³	1	2	yes	—
243	C₅×#95	C₂³	1	2	yes	—
244	C₅×#95	C₂³	1	2	yes	—
245	C₅×#95	C₂³	1	2	yes	—
246	C₅×#95	C₂³	1	2	yes	—
247	C₅×#95	C₂³	1	2	yes	—
248	C₅×#95	C₂³	1	2	yes	—
249	C₅×#95	C₂³	1	2	yes	—
250	C₅×#95	C₂³	1	1	yes	characteristic
251	C₅×#95	C₂³	1	1	yes	characteristic
252	C₅×#95	C₂³	1	1	yes	characteristic
253	C₅×#95	C₂³	1	1	yes	characteristic
254	C₅×#95	C₂³	1	1	yes	characteristic
255	C₅×#95	C₂³	1	2	yes	—
256	C₅×#95	C₂³	1	2	yes	—
257	C₅×#95	C₂³	1	1	yes	characteristic
258	C₅×#95	C₂³	1	2	yes	—
259	C₅×#95	C₂³	1	2	yes	—
260	C₅×#95	C₂³	1	2	yes	—
261	C₂×#547	C₂×C₅	1	1	yes	characteristic
262	C₂×#520	C₂×C₅	1	1	yes	characteristic, complemented
263	C₂×C₄×#41	C₂×C₅	1	1	yes	characteristic, complemented
264	#2365	C₂×C₅	1	1	yes	characteristic, complemented
265	#2364	C₂×C₅	1	2	yes	complemented
266	#2362	C₂×C₅	1	1	yes	characteristic, complemented
267	#2360	C₂×C₅	1	1	yes	characteristic, complemented
268	#2359	C₂×C₅	1	2	yes	complemented
269	#2359	C₂×C₅	1	2	yes	complemented
270	#2352	C₂×C₅	1	1	yes	characteristic, complemented
271	#2349	C₂×C₅	1	1	yes	characteristic, complemented
272	#2344	C₂×C₅	1	2	yes	complemented
273	#2339	C₂×C₅	1	1	yes	characteristic, complemented
274	#2339	C₂×C₅	1	1	yes	characteristic, complemented
275	#2327	C₂×C₅	1	1	yes	characteristic, complemented
276	#2325	C₂×C₅	1	2	yes	complemented
277	#2323	C₂×C₅	1	1	yes	characteristic, complemented
278	#2322	C₂×C₅	1	2	yes	complemented
279	C₄×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
280	C₄×#123	C₂×C₅	1	2	yes	complemented
281	#2290	C₂×C₅	1	1	yes	characteristic, complemented
282	C₂×#387	C₂×C₅	1	2	yes	complemented
283	#2275	C₂×C₅	1	1	yes	characteristic, complemented
284	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
285	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
286	C₂⁴×C₅	C₂⁴	1	2	yes	—
287	C₅×#41	—	2	32	no	—
288	C₅×#41	—	2	32	no	—
289	C₂×C₅×Q₈	—	2	2	no	—
290	C₂×C₅×Q₈	—	2	2	no	—
291	C₂×C₅×Q₈	—	2	2	no	—
292	C₂×C₅×Q₈	—	2	2	no	—
293	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
294	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
295	C₂×C₅×D₄	—	2	4	no	—
296	C₂×C₅×D₄	—	2	4	no	—
297	C₂×C₅×D₄	—	2	4	no	—
298	C₂×C₅×D₄	—	2	4	no	—
299	C₂×C₅×D₄	—	4	1	no	—
300	C₂×C₅×D₄	—	4	1	no	—
301	C₂×C₅×D₄	C₂²×C₄	1	8	yes	—
302	C₂×C₅×D₄	C₂²×C₄	1	8	yes	—
303	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
304	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
305	C₂×C₅×D₄	C₂×D₄	1	4	yes	—
306	C₂×C₅×D₄	#41	1	4	yes	—
307	C₂²×C₄×C₅	—	2	4	no	—
308	C₂²×C₄×C₅	—	2	4	no	—
309	C₂²×C₄×C₅	—	2	4	no	—
310	C₂²×C₄×C₅	—	2	4	no	—
311	C₂²×C₄×C₅	—	2	2	no	—
312	C₂²×C₄×C₅	—	2	2	no	—
313	C₂²×C₄×C₅	—	2	2	no	—
314	C₂²×C₄×C₅	—	2	2	no	—
315	C₂²×C₄×C₅	—	2	4	no	—
316	C₂²×C₄×C₅	—	2	4	no	—
317	C₂²×C₄×C₅	—	2	4	no	—
318	C₂²×C₄×C₅	—	2	2	no	—
319	C₂²×C₄×C₅	—	2	2	no	—
320	C₂²×C₄×C₅	—	2	2	no	—
321	C₂²×C₄×C₅	—	2	4	no	—
322	C₂²×C₄×C₅	—	2	4	no	—
323	C₂²×C₄×C₅	—	4	1	no	—
324	C₂²×C₄×C₅	—	4	2	no	—
325	C₂²×C₄×C₅	—	4	2	no	—
326	C₂²×C₄×C₅	—	4	2	no	—
327	C₂²×C₄×C₅	—	4	2	no	—
328	C₂²×C₄×C₅	—	4	2	no	—
329	C₂²×C₄×C₅	—	4	1	no	—
330	C₂²×C₄×C₅	—	4	1	no	—
331	C₂²×C₄×C₅	—	4	2	no	—
332	C₂²×C₄×C₅	—	4	2	no	—
333	C₂²×C₄×C₅	—	4	2	no	—
334	C₂²×C₄×C₅	—	4	2	no	—
335	C₂²×C₄×C₅	—	4	2	no	—
336	C₂²×C₄×C₅	—	4	2	no	—
337	C₂²×C₄×C₅	C₂²×C₄	1	8	yes	—
338	C₂²×C₄×C₅	C₂²×C₄	1	8	yes	—
339	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
340	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
341	C₂²×C₄×C₅	C₂²×C₄	1	8	yes	—
342	C₂²×C₄×C₅	C₂×D₄	1	8	yes	—
343	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
349	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
363	C₅×C₄⋊C₄	—	2	2	no	—
364	C₅×C₄⋊C₄	—	2	4	no	—
365	C₅×C₄⋊C₄	—	2	4	no	—
366	C₅×C₄⋊C₄	—	2	4	no	—
367	C₅×C₄⋊C₄	—	2	2	no	—
368	C₅×C₄⋊C₄	—	2	2	no	—
369	C₅×C₄⋊C₄	—	2	4	no	—
370	C₅×C₄⋊C₄	—	2	4	no	—
371	C₅×C₄⋊C₄	—	2	2	no	—
372	C₅×C₄⋊C₄	—	2	2	no	—
373	C₅×C₄⋊C₄	—	2	2	no	—
374	C₅×C₄⋊C₄	—	4	1	no	—
375	C₅×C₄⋊C₄	—	4	2	no	—
376	C₅×C₄⋊C₄	—	4	2	no	—
377	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
378	C₅×C₄⋊C₄	C₂²×C₄	1	8	yes	—
379	C₅×C₄⋊C₄	C₂²×C₄	1	8	yes	—
380	C₅×C₄⋊C₄	C₂²×C₄	1	8	yes	—
381	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
382	C₅×C₄⋊C₄	C₂²×C₄	1	8	yes	—
383	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	—
384	C₅×C₂²⋊C₄	—	2	4	no	—
385	C₅×C₂²⋊C₄	—	2	4	no	—
386	C₅×C₂²⋊C₄	—	2	4	no	—
387	C₅×C₂²⋊C₄	—	2	2	no	—
388	C₅×C₂²⋊C₄	—	2	4	no	—
389	C₅×C₂²⋊C₄	—	2	2	no	—
390	C₅×C₂²⋊C₄	—	2	2	no	—
391	C₅×C₂²⋊C₄	—	4	1	no	—
392	C₅×C₂²⋊C₄	—	4	2	no	—
393	C₅×C₂²⋊C₄	—	4	2	no	—
394	C₅×C₂²⋊C₄	—	4	1	no	—
395	C₅×C₂²⋊C₄	—	4	1	no	—
396	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
397	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
398	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
399	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
400	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
401	C₅×C₂²⋊C₄	C₂×D₄	1	8	yes	—
402	C₄²×C₅	—	2	2	no	—
403	C₄²×C₅	—	2	2	no	—
404	C₄²×C₅	—	2	4	no	—
405	C₄²×C₅	—	2	4	no	—
406	C₄²×C₅	—	2	2	no	—
407	C₄²×C₅	—	2	4	no	—
408	C₄²×C₅	—	2	4	no	—
409	C₄²×C₅	—	2	4	no	—
410	C₄²×C₅	—	2	2	no	—
411	C₄²×C₅	—	2	2	no	—
412	C₄²×C₅	—	4	2	no	—
413	C₄²×C₅	—	4	2	no	—
414	C₄²×C₅	—	4	2	no	—
415	C₄²×C₅	C₂²×C₄	1	4	yes	—
416	C₄²×C₅	C₂×D₄	1	4	yes	—
417	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
418	C₂²×#41	C₂²×C₅	1	1	yes	characteristic
419	#547	C₄×C₅	1	16	yes	complemented
420	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
421	C₂×#123	C₂²×C₅	1	2	yes	—
422	C₂×#123	C₂²×C₅	1	2	yes	—
423	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
424	C₂×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
425	C₂×#121	C₂²×C₅	1	2	yes	—
426	#520	—	2	8	no	—
427	C₄×#41	—	2	8	no	—
428	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
429	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
430	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
431	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
432	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
433	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
434	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
435	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
436	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
437	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
438	C₂×C₄×D₄	C₂²×C₅	1	2	yes	—
439	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
440	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
441	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
442	C₂×#117	C₂²×C₅	1	1	yes	characteristic
443	C₂×#117	C₂²×C₅	1	2	yes	—
444	C₂×#117	C₂²×C₅	1	2	yes	—
445	C₂×#117	C₂²×C₅	1	1	yes	characteristic
446	C₂²×C₄⋊C₄	C₂²×C₅	1	2	yes	—
447	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
448	C₂²×C₄⋊C₄	C₂²×C₅	1	2	yes	—
449	C₂²×C₄²	C₂²×C₅	1	2	yes	—
450	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
451	#391	C₂²×C₅	1	1	yes	characteristic
452	#391	C₂²×C₅	1	1	yes	characteristic
453	#391	C₂²×C₅	1	1	yes	characteristic
454	#391	C₂²×C₅	1	1	yes	characteristic
455	#389	C₂²×C₅	1	2	yes	—
456	#389	C₂²×C₅	1	2	yes	—
457	#389	C₂²×C₅	1	2	yes	—
458	#389	C₂²×C₅	1	1	yes	characteristic
459	#389	C₂²×C₅	1	1	yes	characteristic
460	#388	C₂²×C₅	1	2	yes	—
461	#388	C₂²×C₅	1	2	yes	—
462	#388	C₂²×C₅	1	2	yes	—
463	#388	C₂²×C₅	1	2	yes	—
464	#388	C₂²×C₅	1	2	yes	—
465	#388	C₂²×C₅	1	1	yes	characteristic
466	#388	C₂²×C₅	1	1	yes	characteristic
467	#387	C₂²×C₅	1	2	yes	—
468	#387	C₂²×C₅	1	2	yes	—
469	#387	C₂²×C₅	1	2	yes	—
470	#387	C₂²×C₅	1	2	yes	—
471	#387	C₂²×C₅	1	2	yes	—
472	#387	C₂²×C₅	1	2	yes	—
473	#387	C₂²×C₅	1	1	yes	characteristic
474	#387	C₂²×C₅	1	2	yes	—
475	#387	C₂²×C₅	1	2	yes	—
476	#387	C₂²×C₅	1	2	yes	—
477	#387	C₂²×C₅	1	2	yes	—
478	#387	C₂²×C₅	1	1	yes	characteristic
479	#387	C₂²×C₅	1	2	yes	—
480	#386	C₂²×C₅	1	2	yes	—
481	#386	C₂²×C₅	1	1	yes	characteristic
482	#386	C₂²×C₅	1	2	yes	—
483	#386	C₂²×C₅	1	2	yes	—
484	#386	C₂²×C₅	1	2	yes	—
485	#386	C₂²×C₅	1	2	yes	—
486	#386	C₂²×C₅	1	1	yes	characteristic
487	#385	C₂²×C₅	1	1	yes	characteristic
488	#385	C₂²×C₅	1	2	yes	—
489	#385	C₂²×C₅	1	2	yes	—
490	#385	C₂²×C₅	1	2	yes	—
491	#385	C₂²×C₅	1	2	yes	—
492	#385	C₂²×C₅	1	1	yes	characteristic
493	#382	C₂²×C₅	1	1	yes	characteristic
494	#381	C₂²×C₅	1	2	yes	—
495	#381	C₂²×C₅	1	2	yes	—
496	#380	C₂²×C₅	1	1	yes	characteristic
497	#380	C₂²×C₅	1	2	yes	—
498	#380	C₂²×C₅	1	1	yes	characteristic
499	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
500	C₄×C₄⋊C₄	C₂²×C₅	1	2	yes	—
501	C₄×C₄⋊C₄	C₂²×C₅	1	2	yes	—
502	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
503	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
504	C₄×C₄⋊C₄	C₂²×C₅	1	2	yes	—
505	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
506	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
507	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
508	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
509	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
510	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
511	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
512	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
513	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
514	#376	C₂²×C₅	1	1	yes	characteristic
515	C₂×#95	C₂²×C₅	1	2	yes	—
516	C₂×#95	C₂²×C₅	1	2	yes	—
517	C₂×#95	C₂²×C₅	1	2	yes	—
518	C₂×#95	C₂²×C₅	1	2	yes	—
519	C₂³×C₅	—	2	2	no	—
520	C₂³×C₅	—	2	2	no	—
521	C₂³×C₅	—	2	2	no	—
522	C₂³×C₅	—	2	2	no	—
523	C₂³×C₅	—	2	1	no	—
524	C₂³×C₅	—	2	1	no	—
525	C₂³×C₅	—	2	1	no	—
526	C₂³×C₅	—	2	1	no	—
527	C₂³×C₅	—	2	1	no	—
528	C₂³×C₅	—	2	1	no	—
529	C₂³×C₅	—	2	1	no	—
530	C₂³×C₅	—	2	1	no	—
531	C₂³×C₅	—	2	1	no	—
532	C₂³×C₅	—	2	1	no	—
533	C₂³×C₅	—	2	1	no	—
534	C₂³×C₅	—	2	1	no	—
535	C₂³×C₅	C₂³×C₄	1	2	yes	—
536	C₂³×C₅	C₂³×C₄	1	2	yes	—
537	C₂³×C₅	C₂³×C₄	1	4	yes	—
538	C₂³×C₅	C₂²×D₄	1	4	yes	—
539	C₂³×C₅	C₂×#41	1	4	yes	—
540	C₂³×C₅	C₂⁵	1	1	yes	characteristic
541	C₅×Q₈	—	2	8	no	—
542	C₅×Q₈	—	2	8	no	—
543	C₅×D₄	—	2	16	no	—
544	C₅×D₄	—	2	16	no	—
545	C₅×D₄	—	4	4	no	—
546	C₅×D₄	C₄×D₄	1	16	yes	—
547	C₂×C₄×C₅	—	2	16	no	—
548	C₂×C₄×C₅	—	2	16	no	—
549	C₂×C₄×C₅	—	2	1	no	—
550	C₂×C₄×C₅	—	2	1	no	—
551	C₂×C₄×C₅	—	2	2	no	—
552	C₂×C₄×C₅	—	2	2	no	—
553	C₂×C₄×C₅	—	2	1	no	—
554	C₂×C₄×C₅	—	2	1	no	—
555	C₂×C₄×C₅	—	2	1	no	—
556	C₂×C₄×C₅	—	2	2	no	—
557	C₂×C₄×C₅	—	2	2	no	—
558	C₂×C₄×C₅	—	2	1	no	—
559	C₂×C₄×C₅	—	2	1	no	—
560	C₂×C₄×C₅	—	2	1	no	—
561	C₂×C₄×C₅	—	2	1	no	—
562	C₂×C₄×C₅	—	2	2	no	—
563	C₂×C₄×C₅	—	2	2	no	—
564	C₂×C₄×C₅	—	2	2	no	—
565	C₂×C₄×C₅	—	2	2	no	—
566	C₂×C₄×C₅	—	2	1	no	—
567	C₂×C₄×C₅	—	2	1	no	—
568	C₂×C₄×C₅	—	2	1	no	—
569	C₂×C₄×C₅	—	2	1	no	—
570	C₂×C₄×C₅	—	2	1	no	—
571	C₂×C₄×C₅	—	2	8	no	—
572	C₂×C₄×C₅	—	2	8	no	—
573	C₂×C₄×C₅	—	2	1	no	—
574	C₂×C₄×C₅	—	2	1	no	—
575	C₂×C₄×C₅	—	2	2	no	—
576	C₂×C₄×C₅	—	2	2	no	—
577	C₂×C₄×C₅	—	2	1	no	—
578	C₂×C₄×C₅	—	2	1	no	—
579	C₂×C₄×C₅	—	2	1	no	—
580	C₂×C₄×C₅	—	2	2	no	—
581	C₂×C₄×C₅	—	2	1	no	—
582	C₂×C₄×C₅	—	2	1	no	—
583	C₂×C₄×C₅	—	2	2	no	—
584	C₂×C₄×C₅	—	2	1	no	—
585	C₂×C₄×C₅	—	2	2	no	—
586	C₂×C₄×C₅	—	2	2	no	—
587	C₂×C₄×C₅	—	2	1	no	—
588	C₂×C₄×C₅	—	2	1	no	—
589	C₂×C₄×C₅	—	2	2	no	—
590	C₂×C₄×C₅	—	2	1	no	—
591	C₂×C₄×C₅	—	2	2	no	—
592	C₂×C₄×C₅	—	2	1	no	—
593	C₂×C₄×C₅	—	2	1	no	—
594	C₂×C₄×C₅	—	2	1	no	—
595	C₂×C₄×C₅	—	2	2	no	—
596	C₂×C₄×C₅	—	2	1	no	—
597	C₂×C₄×C₅	—	4	8	no	—
598	C₂×C₄×C₅	—	4	8	no	—
599	C₂×C₄×C₅	—	4	4	no	—
600	C₂×C₄×C₅	—	4	8	no	—
601	C₂×C₄×C₅	—	4	4	no	—
602	C₂×C₄×C₅	—	8	4	no	—
603	C₂×C₄×C₅	—	8	4	no	—
604	C₂×C₄×C₅	—	8	4	no	—
605	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
606	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
607	C₂×C₄×C₅	C₂³×C₄	1	4	yes	—
608	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
609	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
610	C₂×C₄×C₅	C₂³×C₄	1	4	yes	—
611	C₂×C₄×C₅	C₂³×C₄	1	4	yes	—
612	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
613	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
614	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
615	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
616	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
617	C₂×C₄×C₅	C₂×#41	1	2	yes	—
618	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
619	C₂×#41	—	2	4	no	—
620	C₂×#41	—	2	4	no	—
621	C₂×#41	—	2	4	no	—
622	C₂×#41	—	2	4	no	—
623	C₂×#41	C₂×C₄×C₅	1	8	yes	complemented
624	C₂×#41	C₂×C₄×C₅	1	8	yes	complemented
625	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
626	C₂²×Q₈	C₂³×C₅	1	1	yes	characteristic
627	C₂²×D₄	C₂³×C₅	1	2	yes	—
628	C₂²×D₄	C₂³×C₅	1	2	yes	—
629	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
630	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
631	C₂³×C₄	C₂³×C₅	1	2	yes	—
632	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
633	C₂³×C₄	C₂³×C₅	1	2	yes	—
634	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
635	C₂³×C₄	C₂³×C₅	1	2	yes	—
636	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
637	C₂³×C₄	C₂³×C₅	1	2	yes	—
638	C₂³×C₄	C₂³×C₅	1	2	yes	—
639	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
640	C₂³×C₄	C₂³×C₅	1	2	yes	—
641	C₂³×C₄	C₂³×C₅	1	2	yes	—
642	C₂³×C₄	C₂³×C₅	1	2	yes	—
643	C₄⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
644	#123	C₂×C₄×C₅	1	16	yes	complemented
645	#123	C₂×C₄×C₅	1	16	yes	complemented
646	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
647	C₂²⋊Q₈	C₂×C₄×C₅	1	8	yes	complemented
648	#121	C₂×C₄×C₅	1	16	yes	complemented
649	C₄×Q₈	—	2	4	no	—
650	C₄×Q₈	—	2	4	no	—
651	C₄×Q₈	—	2	4	no	—
652	C₄×Q₈	—	2	4	no	—
653	C₄×D₄	—	2	4	no	—
654	C₄×D₄	—	2	4	no	—
655	C₄×D₄	—	2	4	no	—
656	C₄×D₄	—	2	8	no	—
657	C₄×D₄	—	2	8	no	—
658	C₄×D₄	—	2	8	no	—
659	C₄×D₄	—	2	8	no	—
660	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
661	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
662	C₄×D₄	C₅×D₄	1	8	yes	complemented
663	#117	—	2	4	no	—
664	#117	—	2	8	no	—
665	#117	—	2	8	no	—
666	#117	—	2	4	no	—
667	C₂×C₄⋊C₄	—	2	8	no	—
668	C₂×C₄⋊C₄	—	2	4	no	—
669	C₂×C₄⋊C₄	C₂×C₄×C₅	1	16	yes	complemented
670	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
673	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
674	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
675	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
678	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
679	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
682	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
683	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
686	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
687	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
688	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
690	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
695	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
696	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
698	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
702	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
706	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
709	C₂×C₄²	—	2	8	no	—
710	C₂×C₄²	—	2	4	no	—
711	C₂×C₄²	C₂³×C₅	1	2	yes	—
712	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
713	C₂×C₄²	C₂³×C₅	1	2	yes	—
714	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
715	C₂×C₄²	C₂³×C₅	1	2	yes	—
716	C₂×C₄²	C₂³×C₅	1	2	yes	—
717	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
718	C₂×C₄²	C₂³×C₅	1	2	yes	—
719	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
720	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
721	C₂×C₄²	C₂³×C₅	1	2	yes	—
722	C₂×C₄²	C₂³×C₅	1	2	yes	—
723	C₂×C₄²	C₂³×C₅	1	2	yes	—
724	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
725	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
726	#95	C₂³×C₅	1	1	yes	characteristic
727	#95	C₂³×C₅	1	1	yes	characteristic
728	#95	C₂³×C₅	1	1	yes	characteristic
729	#95	C₂³×C₅	1	1	yes	characteristic
730	#95	C₂³×C₅	1	2	yes	—
731	#95	C₂³×C₅	1	2	yes	—
732	#95	C₂³×C₅	1	2	yes	—
733	#95	C₂³×C₅	1	2	yes	—
734	#95	C₂³×C₅	1	2	yes	—
735	#95	C₂³×C₅	1	2	yes	—
736	#95	C₂³×C₅	1	2	yes	—
737	#95	C₂³×C₅	1	2	yes	—
738	#95	C₂³×C₅	1	2	yes	—
739	#95	C₂³×C₅	1	2	yes	—
740	#95	C₂³×C₅	1	2	yes	—
741	#95	C₂³×C₅	1	2	yes	—
742	#95	C₂³×C₅	1	1	yes	characteristic
743	#95	C₂³×C₅	1	1	yes	characteristic
744	#95	C₂³×C₅	1	1	yes	characteristic
745	#95	C₂³×C₅	1	1	yes	characteristic
746	#95	C₂³×C₅	1	1	yes	characteristic
747	#95	C₂³×C₅	1	2	yes	—
748	#95	C₂³×C₅	1	2	yes	—
749	#95	C₂³×C₅	1	1	yes	characteristic
750	#95	C₂³×C₅	1	2	yes	—
751	#95	C₂³×C₅	1	2	yes	—
752	#95	C₂³×C₅	1	2	yes	—
753	C₂²×C₅	—	2	4	no	—
754	C₂²×C₅	—	2	4	no	—
755	C₂²×C₅	—	2	4	no	—
756	C₂²×C₅	—	2	4	no	—
757	C₂²×C₅	—	2	4	no	—
758	C₂²×C₅	—	2	4	no	—
759	C₂²×C₅	—	2	2	no	—
760	C₂²×C₅	—	2	2	no	—
761	C₂²×C₅	—	2	2	no	—
762	C₂²×C₅	—	2	2	no	—
763	C₂²×C₅	—	2	2	no	—
764	C₂²×C₅	—	2	2	no	—
765	C₂²×C₅	—	4	1	no	—
766	C₂²×C₅	—	4	1	no	—
767	C₂²×C₅	—	4	1	no	—
768	C₂²×C₅	—	4	1	no	—
769	C₂²×C₅	—	4	1	no	—
770	C₂²×C₅	—	4	1	no	—
771	C₂²×C₅	—	4	1	no	—
772	C₂²×C₅	—	4	1	no	—
773	C₂²×C₅	C₂×C₄×D₄	1	8	yes	—
774	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
775	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
776	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
777	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
778	C₂²×C₅	#585	1	1	yes	characteristic
779	C₂²×C₅	#585	1	1	yes	characteristic
780	C₂²×C₅	#585	1	1	yes	characteristic
781	C₄×C₅	—	2	2	no	—
782	C₄×C₅	—	2	2	no	—
783	C₄×C₅	—	2	4	no	—
784	C₄×C₅	—	2	4	no	—
785	C₄×C₅	—	2	2	no	—
786	C₄×C₅	—	2	4	no	—
787	C₄×C₅	—	2	2	no	—
788	C₄×C₅	—	2	2	no	—
789	C₄×C₅	—	2	4	no	—
790	C₄×C₅	—	2	2	no	—
791	C₄×C₅	—	2	2	no	—
792	C₄×C₅	—	4	1	no	—
793	C₄×C₅	—	4	2	no	—
794	C₄×C₅	—	4	1	no	—
795	C₄×C₅	—	4	1	no	—
796	C₄×C₅	—	4	2	no	—
797	C₄×C₅	—	4	1	no	—
798	C₄×C₅	—	4	2	no	—
799	C₄×C₅	—	4	1	no	—
800	C₄×C₅	C₂×C₄×D₄	1	4	yes	—
801	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
802	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
803	C₂⁴	C₂⁴×C₅	1	2	yes	—
804	#41	—	2	32	no	—
805	#41	—	2	32	no	—
806	C₂×Q₈	—	2	2	no	—
807	C₂×Q₈	—	2	2	no	—
808	C₂×Q₈	—	2	2	no	—
809	C₂×Q₈	—	2	2	no	—
810	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
811	C₂×Q₈	C₂²×C₄×C₅	1	4	yes	—
812	C₂×D₄	—	2	4	no	—
813	C₂×D₄	—	2	4	no	—
814	C₂×D₄	—	2	4	no	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	4	1	no	—
817	C₂×D₄	—	4	1	no	—
818	C₂×D₄	C₂²×C₄×C₅	1	8	yes	—
819	C₂×D₄	C₂²×C₄×C₅	1	8	yes	—
820	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
821	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
822	C₂×D₄	C₂×C₅×D₄	1	4	yes	—
823	C₂×D₄	C₅×#41	1	4	yes	—
824	C₂²×C₄	—	2	4	no	—
825	C₂²×C₄	—	2	4	no	—
826	C₂²×C₄	—	2	4	no	—
827	C₂²×C₄	—	2	4	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	2	2	no	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	4	no	—
833	C₂²×C₄	—	2	4	no	—
834	C₂²×C₄	—	2	4	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	4	no	—
839	C₂²×C₄	—	2	4	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	2	no	—
842	C₂²×C₄	—	4	2	no	—
843	C₂²×C₄	—	4	2	no	—
844	C₂²×C₄	—	4	2	no	—
845	C₂²×C₄	—	4	2	no	—
846	C₂²×C₄	—	4	1	no	—
847	C₂²×C₄	—	4	1	no	—
848	C₂²×C₄	—	4	2	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	—	4	2	no	—
854	C₂²×C₄	C₂²×C₄×C₅	1	8	yes	—
855	C₂²×C₄	C₂²×C₄×C₅	1	8	yes	—
856	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
857	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
858	C₂²×C₄	C₂²×C₄×C₅	1	8	yes	—
859	C₂²×C₄	C₂×C₅×D₄	1	8	yes	—
860	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
862	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
866	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
872	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
873	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
874	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
877	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
878	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
879	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	4	no	—
882	C₄⋊C₄	—	2	4	no	—
883	C₄⋊C₄	—	2	4	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	2	no	—
886	C₄⋊C₄	—	2	4	no	—
887	C₄⋊C₄	—	2	4	no	—
888	C₄⋊C₄	—	2	2	no	—
889	C₄⋊C₄	—	2	2	no	—
890	C₄⋊C₄	—	2	2	no	—
891	C₄⋊C₄	—	4	1	no	—
892	C₄⋊C₄	—	4	2	no	—
893	C₄⋊C₄	—	4	2	no	—
894	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
895	C₄⋊C₄	C₂²×C₄×C₅	1	8	yes	—
896	C₄⋊C₄	C₂²×C₄×C₅	1	8	yes	—
897	C₄⋊C₄	C₂²×C₄×C₅	1	8	yes	—
898	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	—
899	C₄⋊C₄	C₂²×C₄×C₅	1	8	yes	—
900	C₄⋊C₄	C₂×C₅×D₄	1	4	yes	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	2	2	no	—
905	C₂²⋊C₄	—	2	4	no	—
906	C₂²⋊C₄	—	2	2	no	—
907	C₂²⋊C₄	—	2	2	no	—
908	C₂²⋊C₄	—	4	1	no	—
909	C₂²⋊C₄	—	4	2	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	1	no	—
912	C₂²⋊C₄	—	4	1	no	—
913	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	—
914	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
915	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
916	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	—
917	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	—
918	C₂²⋊C₄	C₂×C₅×D₄	1	8	yes	—
919	C₄²	—	2	2	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	4	no	—
922	C₄²	—	2	4	no	—
923	C₄²	—	2	2	no	—
924	C₄²	—	2	4	no	—
925	C₄²	—	2	4	no	—
926	C₄²	—	2	4	no	—
927	C₄²	—	2	2	no	—
928	C₄²	—	2	2	no	—
929	C₄²	—	4	2	no	—
930	C₄²	—	4	2	no	—
931	C₄²	—	4	2	no	—
932	C₄²	C₂²×C₄×C₅	1	4	yes	—
933	C₄²	C₂×C₅×D₄	1	4	yes	—
934	C₂×C₅	—	2	8	no	—
935	C₂×C₅	—	4	2	no	—
936	C₂×C₅	—	4	2	no	—
937	C₂×C₅	C₂²×C₄×D₄	1	1	yes	characteristic
938	C₂×C₅	#3428	1	1	yes	characteristic
939	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
940	C₂×C₅	#3485	1	1	yes	characteristic
941	C₂×C₅	#3489	1	1	yes	characteristic
942	C₂×C₅	#3515	1	1	yes	characteristic
943	C₂×C₅	#3521	1	1	yes	characteristic
944	C₂³	—	2	2	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	1	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	1	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	1	no	—
956	C₂³	—	2	1	no	—
957	C₂³	—	2	1	no	—
958	C₂³	—	2	1	no	—
959	C₂³	—	2	1	no	—
960	C₂³	C₂³×C₄×C₅	1	2	yes	—
961	C₂³	C₂³×C₄×C₅	1	2	yes	—
962	C₂³	C₂³×C₄×C₅	1	4	yes	—
963	C₂³	C₂²×C₅×D₄	1	4	yes	—
964	C₂³	C₂×C₅×#41	1	4	yes	—
965	C₂³	C₂⁵×C₅	1	1	yes	characteristic
966	Q₈	—	2	8	no	—
967	Q₈	—	2	8	no	—
968	D₄	—	2	16	no	—
969	D₄	—	2	16	no	—
970	D₄	—	4	4	no	—
971	D₄	C₄×C₅×D₄	1	16	yes	—
972	C₂×C₄	—	2	16	no	—
973	C₂×C₄	—	2	16	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	2	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	8	no	—
997	C₂×C₄	—	2	8	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	2	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	4	8	no	—
1023	C₂×C₄	—	4	8	no	—
1024	C₂×C₄	—	4	4	no	—
1025	C₂×C₄	—	4	8	no	—
1026	C₂×C₄	—	4	4	no	—
1027	C₂×C₄	—	8	4	no	—
1028	C₂×C₄	—	8	4	no	—
1029	C₂×C₄	—	8	4	no	—
1030	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1031	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1032	C₂×C₄	C₂³×C₄×C₅	1	4	yes	—
1033	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1034	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1035	C₂×C₄	C₂³×C₄×C₅	1	4	yes	—
1036	C₂×C₄	C₂³×C₄×C₅	1	4	yes	—
1037	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1038	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1039	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1040	C₂×C₄	C₂²×C₅×D₄	1	4	yes	—
1041	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1042	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1043	C₂×C₄	C₅×2₋¹⁺⁴	1	2	yes	—
1044	C₅	#34289	1	1	yes	characteristic, direct product factor, Sylow
1045	C₂²	—	2	4	no	—
1046	C₂²	—	2	4	no	—
1047	C₂²	—	2	4	no	—
1048	C₂²	—	2	4	no	—
1049	C₂²	—	2	4	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	2	no	—
1056	C₂²	—	2	2	no	—
1057	C₂²	—	4	1	no	—
1058	C₂²	—	4	1	no	—
1059	C₂²	—	4	1	no	—
1060	C₂²	—	4	1	no	—
1061	C₂²	—	4	1	no	—
1062	C₂²	—	4	1	no	—
1063	C₂²	—	4	1	no	—
1064	C₂²	—	4	1	no	—
1065	C₂²	C₂×C₄×C₅×D₄	1	8	yes	—
1066	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1067	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1068	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1069	C₂²	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1070	C₂²	C₅×#585	1	1	yes	characteristic
1071	C₂²	C₅×#585	1	1	yes	characteristic
1072	C₂²	C₅×#585	1	1	yes	characteristic
1073	C₄	—	2	2	no	—
1074	C₄	—	2	2	no	—
1075	C₄	—	2	4	no	—
1076	C₄	—	2	4	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	4	no	—
1079	C₄	—	2	2	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	4	no	—
1082	C₄	—	2	2	no	—
1083	C₄	—	2	2	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	1	no	—
1091	C₄	—	4	2	no	—
1092	C₄	C₂×C₄×C₅×D₄	1	4	yes	—
1093	C₂	—	2	8	no	—
1094	C₂	—	4	2	no	—
1095	C₂	—	4	2	no	—
1096	C₂	C₂²×C₄×C₅×D₄	1	1	yes	characteristic
1097	C₂	C₅×#3428	1	1	yes	characteristic
1098	C₂	C₄×C₅×2₋¹⁺⁴	1	1	yes	characteristic
1099	C₂	C₅×#3485	1	1	yes	characteristic
1100	C₂	C₅×#3489	1	1	yes	characteristic
1101	C₂	C₅×#3515	1	1	yes	characteristic
1102	C₂	C₅×#3521	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₅
Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₂×C₅×#547	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₅×#520	C₂	semidirect
3. C₂×C₄×C₅×#41	C₂	semidirect
4. C₅×#2365	C₂	semidirect
5. C₅×#2364	C₂	semidirect
6. C₅×#2362	C₂	semidirect
7. C₅×#2360	C₂	semidirect
8. C₅×#2359	C₂	semidirect
9. C₅×#2359	C₂	semidirect
10. C₅×#2352	C₂	semidirect
11. C₅×#2349	C₂	semidirect
12. C₅×#2344	C₂	semidirect
13. C₅×#2339	C₂	semidirect
14. C₅×#2339	C₂	semidirect
15. C₅×#2327	C₂	semidirect
16. C₅×#2325	C₂	semidirect
17. C₅×#2323	C₂	semidirect
18. C₅×#2322	C₂	semidirect
19. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
20. C₄×C₅×#123	C₂	semidirect
21. C₅×#2290	C₂	semidirect
22. C₂×C₅×#387	C₂	semidirect
23. C₅×#2275	C₂	semidirect
26. C₅×#547	C₄	semidirect
126. #34289	C₅	direct (N × H)
131. C₂×C₅×#41	C₂×C₄	semidirect
132. C₂×C₅×#41	C₂×C₄	semidirect
151. C₅×C₄⋊Q₈	C₂×C₄	semidirect
152. C₅×#123	C₂×C₄	semidirect
153. C₅×#123	C₂×C₄	semidirect
154. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
155. C₅×C₂²⋊Q₈	C₂×C₄	semidirect
156. C₅×#121	C₂×C₄	semidirect
168. C₄×C₅×D₄	C₂×C₄	semidirect
169. C₄×C₅×D₄	C₂×C₄	semidirect
170. C₄×C₅×D₄	D₄	semidirect
177. C₂×C₅×C₄⋊C₄	C₂×C₄	semidirect
262. C₂×#520	C₂×C₅	semidirect
263. C₂×C₄×#41	C₂×C₅	semidirect
264. #2365	C₂×C₅	semidirect
265. #2364	C₂×C₅	semidirect
266. #2362	C₂×C₅	semidirect
267. #2360	C₂×C₅	semidirect
268. #2359	C₂×C₅	semidirect
269. #2359	C₂×C₅	semidirect
270. #2352	C₂×C₅	semidirect
271. #2349	C₂×C₅	semidirect
272. #2344	C₂×C₅	semidirect
273. #2339	C₂×C₅	semidirect
274. #2339	C₂×C₅	semidirect
275. #2327	C₂×C₅	semidirect
276. #2325	C₂×C₅	semidirect
277. #2323	C₂×C₅	semidirect
278. #2322	C₂×C₅	semidirect
279. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
280. C₄×#123	C₂×C₅	semidirect
281. #2290	C₂×C₅	semidirect
282. C₂×#387	C₂×C₅	semidirect
283. #2275	C₂×C₅	semidirect
419. #547	C₄×C₅	semidirect
623. C₂×#41	C₂×C₄×C₅	semidirect
624. C₂×#41	C₂×C₄×C₅	semidirect
643. C₄⋊Q₈	C₂×C₄×C₅	semidirect
644. #123	C₂×C₄×C₅	semidirect
645. #123	C₂×C₄×C₅	semidirect
646. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
647. C₂²⋊Q₈	C₂×C₄×C₅	semidirect
648. #121	C₂×C₄×C₅	semidirect
660. C₄×D₄	C₂×C₄×C₅	semidirect
661. C₄×D₄	C₂×C₄×C₅	semidirect
662. C₄×D₄	C₅×D₄	semidirect
669. C₂×C₄⋊C₄	C₂×C₄×C₅	semidirect
1044. C₅	#34289	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₅×#547	2
C₂×C₅×#520	2
C₂×C₄×C₅×#41	2
C₅×#2365	2
C₅×#2364	2
C₅×#2362	2
C₅×#2360	2
C₅×#2359	2
C₅×#2352	2
C₅×#2349	2
C₅×#2344	2
C₅×#2339	2
C₅×#2327	2
C₅×#2325	2
C₅×#2323	2
C₅×#2322	2
C₄×C₅×C₂²⋊Q₈	2
C₄×C₅×#123	2
C₅×#2290	2
C₂×C₅×#387	2
C₅×#2275	2
#34289	5

Subgroups — C5×#34289 #11957009

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34289 #11957009