Subgroups — C₅×#86035 #14480641

Order 1920.

3112 conjugacy classes of subgroups.

The subgroup lattice has 1108 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×D₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₅×#235	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#5828	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#5791	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5653	C₂	1	2	yes	maximal, complemented
7	C₅×#5648	C₂	1	2	yes	maximal, complemented
8	C₅×#5629	C₂	1	2	yes	maximal, complemented
9	C₅×#5628	C₂	1	2	yes	maximal, complemented
10	C₅×#5608	C₂	1	2	yes	maximal, complemented
11	C₅×#5607	C₂	1	2	yes	maximal, complemented
12	C₅×#5592	C₂	1	2	yes	maximal, complemented
13	C₅×#5589	C₂	1	2	yes	maximal, complemented
14	C₅×#5548	C₂	1	4	yes	maximal, complemented
15	C₅×#5547	C₂	1	4	yes	maximal, complemented
16	C₅×#5524	C₂	1	1	yes	maximal, characteristic, complemented
17	C₅×D₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#3449	—	3	1	no	maximal, Hall
19	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic
20	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₅×#67	C₂²	1	1	yes	characteristic
22	C₂²×C₅×#67	C₂²	1	1	yes	characteristic, complemented
23	C₅×D₃×#41	—	2	8	no	—
24	C₂×C₅×#239	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₅×D₃×Q₈	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₅×#237	C₂²	1	2	yes	—
27	C₂×C₅×#237	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
29	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₅×#235	—	2	8	no	—
31	C₂×C₅×#235	C₂²	1	2	yes	—
32	C₂×C₅×#235	C₂²	1	2	yes	—
33	C₂×C₅×#235	C₂²	1	1	yes	characteristic
34	C₂×C₅×#235	C₂²	1	2	yes	complemented
35	C₂×C₅×#235	C₂²	1	2	yes	complemented
36	C₂×C₅×#235	C₂²	1	2	yes	complemented
37	C₂²×C₅×D₁₂	C₂²	1	1	yes	characteristic
38	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
39	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	complemented
41	C₂²×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×#123	C₂²	1	2	yes	complemented
43	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
44	C₃×C₅×#121	C₂²	1	2	yes	complemented
45	C₃×C₅×#120	C₂²	1	2	yes	complemented
46	C₃×C₄×C₅×D₄	C₂²	1	4	yes	complemented
47	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
48	C₅×#953	C₂²	1	2	yes	complemented
49	C₅×#946	C₂²	1	2	yes	complemented
50	C₅×#940	C₂²	1	4	yes	complemented
51	C₅×#939	C₂²	1	4	yes	complemented
52	C₅×#938	C₂²	1	4	yes	complemented
53	C₅×#938	C₂²	1	2	yes	complemented
54	C₅×#937	C₂²	1	2	yes	complemented
55	C₅×#937	C₂²	1	4	yes	complemented
56	C₅×#935	C₂²	1	2	yes	complemented
57	C₅×#930	C₂²	1	2	yes	complemented
58	C₅×#929	C₂²	1	2	yes	complemented
59	C₄×C₅×#67	C₂²	1	4	yes	complemented
60	C₄×C₅×#67	C₂²	1	4	yes	complemented
61	C₅×#926	C₂²	1	1	yes	characteristic, complemented
62	C₅×#924	C₂²	1	2	yes	complemented
63	C₅×#897	C₂²	1	2	yes	complemented
64	C₅×#896	C₂²	1	4	yes	complemented
65	C₅×#895	C₂²	1	4	yes	complemented
66	C₅×#895	C₂²	1	2	yes	complemented
67	C₅×#894	C₂²	1	4	yes	complemented
68	C₅×#892	C₂²	1	2	yes	complemented
69	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
70	C₅×#888	C₂²	1	4	yes	complemented
71	C₅×#886	C₂²	1	2	yes	complemented
72	C₅×#885	C₂²	1	4	yes	complemented
73	C₅×#885	C₂²	1	4	yes	complemented
74	C₅×#884	C₂²	1	4	yes	complemented
75	C₅×#884	C₂²	1	4	yes	complemented
76	C₅×#884	C₂²	1	4	yes	complemented
77	C₅×#883	C₂²	1	4	yes	complemented
78	C₅×#882	C₂²	1	2	yes	complemented
79	C₅×#882	C₂²	1	4	yes	complemented
80	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
81	C₅×#878	C₂²	1	4	yes	complemented
82	C₅×#877	C₂²	1	2	yes	complemented
83	C₄×C₅×D₁₂	C₂²	1	4	yes	complemented
84	C₅×#872	C₂²	1	2	yes	complemented
85	C₄²×C₅×D₃	C₂²	1	2	yes	complemented
86	#86035	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
87	C₂²×C₅×#41	—	3	1	no	—
88	C₂²×C₅×#41	—	3	1	no	—
89	C₅×#537	—	3	2	no	—
90	C₅×#537	—	3	2	no	—
91	C₅×#536	—	3	2	no	—
92	C₅×#536	—	3	2	no	—
93	C₅×#535	—	3	2	no	—
94	C₅×#535	—	3	2	no	—
95	C₅×#534	—	3	2	no	—
96	C₅×#534	—	3	2	no	—
97	C₅×#532	—	3	4	no	—
98	C₅×#525	—	3	1	no	—
99	C₅×#525	—	3	1	no	—
100	C₅×#525	—	3	4	no	—
101	C₅×#525	—	3	1	no	—
102	C₅×#525	D₃	1	1	yes	characteristic, complemented
103	C₂×C₅×#117	—	3	1	no	—
104	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
105	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
106	C₂³×C₅×D₃	C₂³	1	2	yes	—
107	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
108	C₃×C₅×#41	—	2	4	no	—
109	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
110	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
111	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
112	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
113	C₂²×C₃×C₄×C₅	—	2	4	no	—
114	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
115	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
116	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
117	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
118	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
119	C₂×C₅×#67	—	2	4	no	—
120	C₂×C₅×#67	—	2	4	no	—
121	C₂×C₅×#67	C₂³	1	2	yes	—
122	C₂×C₅×#67	C₂³	1	2	yes	—
123	C₂×C₅×#67	C₂³	1	2	yes	—
124	C₂×C₅×#67	C₂³	1	2	yes	—
125	C₂×C₅×#67	C₂³	1	2	yes	—
126	C₂×C₅×#67	C₂³	1	2	yes	—
127	C₂×C₅×#67	C₂³	1	2	yes	—
128	C₂×C₅×#67	C₂³	1	4	yes	—
129	C₂×C₅×#67	C₂³	1	4	yes	—
130	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
131	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
132	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
133	C₅×#239	—	2	4	no	—
134	C₅×D₃×Q₈	—	2	4	no	—
135	C₅×#237	—	2	8	no	—
136	C₅×#237	—	2	4	no	—
137	C₅×D₃×D₄	—	2	8	no	—
138	C₅×D₃×D₄	—	2	4	no	—
139	C₅×#235	—	2	4	no	—
140	C₅×#235	—	2	8	no	—
141	C₅×#235	—	2	8	no	—
142	C₅×#235	—	2	8	no	—
143	C₅×#235	—	2	8	no	—
144	C₅×#235	—	2	8	no	—
145	C₂×C₅×D₁₂	—	2	4	no	—
146	C₂×C₅×D₁₂	C₂³	1	2	yes	—
147	C₂×C₅×D₁₂	C₂³	1	2	yes	—
148	C₂×C₅×D₁₂	C₂³	1	2	yes	—
149	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
150	C₂×C₅×D₁₂	C₂³	1	4	yes	—
151	C₂×C₄×C₅×D₃	—	2	4	no	—
152	C₂×C₄×C₅×D₃	—	2	8	no	—
153	C₂×C₄×C₅×D₃	D₄	1	8	yes	complemented
154	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
155	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
156	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
157	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
158	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
159	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
160	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
161	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
162	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
163	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
164	C₂×C₅×Dic₆	—	2	4	no	—
165	C₂×C₅×Dic₆	C₂³	1	2	yes	—
166	C₂×C₅×Dic₆	C₂³	1	2	yes	—
167	C₂×C₅×Dic₆	C₂³	1	2	yes	—
168	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
169	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
170	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
171	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
173	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
174	C₃×C₄²×C₅	C₂³	1	2	yes	—
175	C₅×#217	C₂³	1	2	yes	—
176	C₅×#217	C₂³	1	4	yes	—
177	C₅×#217	C₂³	1	4	yes	—
178	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
179	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
180	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
181	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
182	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
183	C₅×C₄⋊Dic₃	C₂³	1	4	yes	—
184	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
185	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
186	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
187	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
188	C₄×C₅×Dic₃	C₂³	1	2	yes	—
189	C₄×C₅×Dic₃	C₂³	1	4	yes	—
190	C₂×D₃×#41	C₂×C₅	1	1	yes	characteristic, complemented
191	C₂²×#235	C₂×C₅	1	1	yes	characteristic, complemented
192	C₃×#525	C₂×C₅	1	1	yes	characteristic, complemented
193	#5828	C₂×C₅	1	1	yes	characteristic, complemented
194	#5791	C₂×C₅	1	1	yes	characteristic, complemented
195	#5653	C₂×C₅	1	2	yes	complemented
196	#5648	C₂×C₅	1	2	yes	complemented
197	#5629	C₂×C₅	1	2	yes	complemented
198	#5628	C₂×C₅	1	2	yes	complemented
199	#5608	C₂×C₅	1	2	yes	complemented
200	#5607	C₂×C₅	1	2	yes	complemented
201	#5592	C₂×C₅	1	2	yes	complemented
202	#5589	C₂×C₅	1	2	yes	complemented
203	#5548	C₂×C₅	1	4	yes	complemented
204	#5547	C₂×C₅	1	4	yes	complemented
205	#5524	C₂×C₅	1	1	yes	characteristic, complemented
206	D₃×#117	C₂×C₅	1	1	yes	characteristic, complemented
207	C₂×C₅×#41	—	3	1	no	—
208	C₂×C₅×#41	—	3	2	no	—
209	C₂×C₅×#41	—	3	1	no	—
210	C₂×C₅×#41	—	3	2	no	—
211	C₂×C₅×#41	—	3	1	no	—
212	C₂×C₅×#41	—	3	2	no	—
213	C₂×C₅×#41	—	3	2	no	—
214	C₂×C₅×#41	—	3	2	no	—
215	C₂×C₅×#41	—	3	2	no	—
216	C₂×C₅×#41	—	6	8	no	—
217	C₂×C₅×#41	—	6	8	no	—
218	C₂×C₅×#41	C₂×D₃	1	1	yes	characteristic
219	C₂²×C₅×Q₈	—	3	1	no	—
220	C₂²×C₅×Q₈	—	3	1	no	—
221	C₂²×C₅×D₄	—	3	1	no	—
222	C₂²×C₅×D₄	—	3	1	no	—
223	C₂²×C₅×D₄	—	3	2	no	—
224	C₂²×C₅×D₄	—	3	1	no	—
225	C₂²×C₅×D₄	—	3	1	no	—
226	C₂³×C₄×C₅	—	3	1	no	—
227	C₂³×C₄×C₅	—	3	2	no	—
228	C₂³×C₄×C₅	—	3	1	no	—
229	C₂³×C₄×C₅	C₂×D₃	1	1	yes	characteristic, complemented
230	C₅×C₄⋊Q₈	—	3	4	no	—
231	C₅×#127	—	3	4	no	—
232	C₅×#124	—	3	4	no	—
233	C₅×#124	—	3	4	no	—
234	C₅×#123	—	3	2	no	—
235	C₅×#123	—	3	2	no	—
236	C₅×#123	—	3	4	no	—
237	C₅×#123	—	3	4	no	—
238	C₅×#123	—	3	2	no	—
239	C₅×#123	C₂×D₃	1	2	yes	complemented
240	C₅×C₂²⋊Q₈	—	3	2	no	—
241	C₅×C₂²⋊Q₈	—	3	2	no	—
242	C₅×C₂²⋊Q₈	—	3	4	no	—
243	C₅×C₂²⋊Q₈	—	3	2	no	—
244	C₅×C₂²⋊Q₈	—	3	4	no	—
245	C₅×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
246	C₅×#121	—	3	2	no	—
247	C₅×#121	—	3	4	no	—
248	C₅×#121	—	3	4	no	—
249	C₅×#121	—	3	2	no	—
250	C₅×#121	—	3	2	no	—
251	C₅×#121	—	3	4	no	—
252	C₅×#121	—	3	4	no	—
253	C₅×#121	—	3	4	no	—
254	C₅×#121	—	3	4	no	—
255	C₅×#121	C₂×D₃	1	2	yes	complemented
256	C₅×#120	—	3	2	no	—
257	C₅×#120	—	3	2	no	—
258	C₅×#120	—	3	4	no	—
259	C₅×#120	—	3	4	no	—
260	C₅×#120	—	3	2	no	—
261	C₅×#120	C₂×D₃	1	2	yes	complemented
262	C₄×C₅×D₄	—	3	4	no	—
263	C₄×C₅×D₄	—	3	4	no	—
264	C₄×C₅×D₄	—	3	4	no	—
265	C₄×C₅×D₄	C₂×D₃	1	4	yes	complemented
266	C₅×#117	—	3	1	no	—
267	C₅×#117	—	3	2	no	—
268	C₅×#117	—	3	2	no	—
269	C₅×#117	—	3	2	no	—
270	C₅×#117	C₂×D₃	1	1	yes	characteristic, complemented
271	C₂×C₅×C₄⋊C₄	—	3	2	no	—
272	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
273	C₂×C₄²×C₅	—	3	2	no	—
274	#3449	—	3	1	no	Sylow
275	C₂³×C₃×C₅	—	2	2	no	—
276	C₂³×C₃×C₅	—	4	2	no	—
277	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
278	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
279	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
280	C₂²×C₅×D₃	—	2	2	no	—
281	C₂²×C₅×D₃	—	2	4	no	—
282	C₂²×C₅×D₃	—	4	2	no	—
283	C₂²×C₅×D₃	—	4	4	no	—
284	C₂²×C₅×D₃	—	4	2	no	—
285	C₂²×C₅×D₃	C₂×D₄	1	4	yes	—
286	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
287	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
288	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
289	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
290	C₃×C₅×Q₈	—	2	2	no	—
291	C₃×C₅×D₄	—	2	4	no	—
292	C₃×C₅×D₄	—	2	2	no	—
293	C₃×C₅×D₄	—	4	4	no	—
294	C₂×C₃×C₄×C₅	—	2	2	no	—
295	C₂×C₃×C₄×C₅	—	2	4	no	—
296	C₂×C₃×C₄×C₅	—	2	4	no	—
297	C₂×C₃×C₄×C₅	—	2	4	no	—
298	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	—
299	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
300	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
301	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
302	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
303	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
304	C₅×#67	—	2	4	no	—
305	C₅×#67	—	2	4	no	—
306	C₅×#67	—	2	4	no	—
307	C₅×#67	—	2	4	no	—
308	C₅×#67	—	2	4	no	—
309	C₅×#67	—	2	4	no	—
310	C₅×#67	—	2	4	no	—
311	C₅×#67	—	4	4	no	—
312	C₅×#67	—	4	4	no	—
313	C₂×C₅×Dic₃	—	2	2	no	—
314	C₂×C₅×Dic₃	—	2	4	no	—
315	C₂×C₅×Dic₃	C₂×D₄	1	4	yes	—
316	C₂×C₅×Dic₃	C₂⁴	1	4	yes	—
317	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
318	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
319	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
320	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
321	C₅×D₁₂	—	2	4	no	—
322	C₅×D₁₂	—	2	4	no	—
323	C₅×D₁₂	—	2	4	no	—
324	C₅×D₁₂	—	2	2	no	—
325	C₅×D₁₂	—	4	4	no	—
326	C₄×C₅×D₃	—	2	4	no	—
327	C₄×C₅×D₃	—	2	4	no	—
328	C₄×C₅×D₃	—	2	4	no	—
329	C₄×C₅×D₃	—	2	4	no	—
330	C₄×C₅×D₃	—	2	4	no	—
331	C₄×C₅×D₃	—	4	4	no	—
332	C₄×C₅×D₃	C₂×D₄	1	4	yes	—
333	C₄×C₅×D₃	C₂×D₄	1	4	yes	—
334	C₄×C₅×D₃	C₂×D₄	1	4	yes	—
335	C₄×C₅×D₃	C₂×D₄	1	4	yes	—
336	C₅×Dic₆	—	2	2	no	—
337	C₅×Dic₆	—	2	4	no	—
338	C₅×Dic₆	—	2	4	no	—
339	C₅×Dic₆	—	2	4	no	—
340	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic
341	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic, complemented
342	C₂²×#67	C₂²×C₅	1	1	yes	characteristic
343	C₂²×#67	C₂²×C₅	1	1	yes	characteristic, complemented
344	D₃×#41	—	2	8	no	—
345	C₂×#239	C₂²×C₅	1	1	yes	characteristic, complemented
346	C₂×D₃×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
347	C₂×#237	C₂²×C₅	1	2	yes	—
348	C₂×#237	C₂²×C₅	1	1	yes	characteristic, complemented
349	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
350	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
351	C₂×#235	—	2	8	no	—
352	C₂×#235	C₂²×C₅	1	2	yes	—
353	C₂×#235	C₂²×C₅	1	2	yes	—
354	C₂×#235	C₂²×C₅	1	1	yes	characteristic
355	C₂×#235	C₂²×C₅	1	2	yes	complemented
356	C₂×#235	C₂²×C₅	1	2	yes	complemented
357	C₂×#235	C₂²×C₅	1	2	yes	complemented
358	C₂²×D₁₂	C₂²×C₅	1	1	yes	characteristic
359	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
360	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
361	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	complemented
362	C₂²×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
363	C₃×#123	C₂²×C₅	1	2	yes	complemented
364	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
365	C₃×#121	C₂²×C₅	1	2	yes	complemented
366	C₃×#120	C₂²×C₅	1	2	yes	complemented
367	C₃×C₄×D₄	C₂²×C₅	1	4	yes	complemented
368	C₃×#117	C₂²×C₅	1	1	yes	characteristic, complemented
369	#953	C₂²×C₅	1	2	yes	complemented
370	#946	C₂²×C₅	1	2	yes	complemented
371	#940	C₂²×C₅	1	4	yes	complemented
372	#939	C₂²×C₅	1	4	yes	complemented
373	#938	C₂²×C₅	1	4	yes	complemented
374	#938	C₂²×C₅	1	2	yes	complemented
375	#937	C₂²×C₅	1	2	yes	complemented
376	#937	C₂²×C₅	1	4	yes	complemented
377	#935	C₂²×C₅	1	2	yes	complemented
378	#930	C₂²×C₅	1	2	yes	complemented
379	#929	C₂²×C₅	1	2	yes	complemented
380	C₄×#67	C₂²×C₅	1	4	yes	complemented
381	C₄×#67	C₂²×C₅	1	4	yes	complemented
382	#926	C₂²×C₅	1	1	yes	characteristic, complemented
383	#924	C₂²×C₅	1	2	yes	complemented
384	#897	C₂²×C₅	1	2	yes	complemented
385	#896	C₂²×C₅	1	4	yes	complemented
386	#895	C₂²×C₅	1	4	yes	complemented
387	#895	C₂²×C₅	1	2	yes	complemented
388	#894	C₂²×C₅	1	4	yes	complemented
389	#892	C₂²×C₅	1	2	yes	complemented
390	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
391	#888	C₂²×C₅	1	4	yes	complemented
392	#886	C₂²×C₅	1	2	yes	complemented
393	#885	C₂²×C₅	1	4	yes	complemented
394	#885	C₂²×C₅	1	4	yes	complemented
395	#884	C₂²×C₅	1	4	yes	complemented
396	#884	C₂²×C₅	1	4	yes	complemented
397	#884	C₂²×C₅	1	4	yes	complemented
398	#883	C₂²×C₅	1	4	yes	complemented
399	#882	C₂²×C₅	1	2	yes	complemented
400	#882	C₂²×C₅	1	4	yes	complemented
401	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
402	#878	C₂²×C₅	1	4	yes	complemented
403	#877	C₂²×C₅	1	2	yes	complemented
404	C₄×D₁₂	C₂²×C₅	1	4	yes	complemented
405	#872	C₂²×C₅	1	2	yes	complemented
406	C₄²×D₃	C₂²×C₅	1	2	yes	complemented
407	C₂⁴×C₅	—	3	1	no	—
408	C₂⁴×C₅	—	3	2	no	—
409	C₂⁴×C₅	—	3	1	no	—
410	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
411	C₅×#41	—	2	4	no	—
412	C₅×#41	—	6	8	no	—
413	C₅×#41	—	6	8	no	—
414	C₅×#41	—	6	8	no	—
415	C₅×#41	—	6	8	no	—
416	C₅×#41	—	6	8	no	—
417	C₅×#41	—	6	8	no	—
418	C₅×#41	—	6	4	no	—
419	C₅×#41	—	6	4	no	—
420	C₅×#41	—	6	4	no	—
421	C₂×C₅×Q₈	—	3	2	no	—
422	C₂×C₅×Q₈	—	3	1	no	—
423	C₂×C₅×Q₈	—	3	2	no	—
424	C₂×C₅×Q₈	—	3	2	no	—
425	C₂×C₅×Q₈	—	6	4	no	—
426	C₂×C₅×Q₈	—	6	4	no	—
427	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
428	C₂×C₅×D₄	—	3	2	no	—
429	C₂×C₅×D₄	—	3	2	no	—
430	C₂×C₅×D₄	—	3	2	no	—
431	C₂×C₅×D₄	—	3	2	no	—
432	C₂×C₅×D₄	—	3	2	no	—
433	C₂×C₅×D₄	—	3	2	no	—
434	C₂×C₅×D₄	—	3	2	no	—
435	C₂×C₅×D₄	—	3	4	no	—
436	C₂×C₅×D₄	—	3	4	no	—
437	C₂×C₅×D₄	—	3	2	no	—
438	C₂×C₅×D₄	—	3	2	no	—
439	C₂×C₅×D₄	—	3	2	no	—
440	C₂×C₅×D₄	—	3	1	no	—
441	C₂×C₅×D₄	—	3	4	no	—
442	C₂×C₅×D₄	—	6	4	no	—
443	C₂×C₅×D₄	—	6	4	no	—
444	C₂×C₅×D₄	—	6	4	no	—
445	C₂×C₅×D₄	—	6	8	no	—
446	C₂×C₅×D₄	—	6	4	no	—
447	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
448	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
449	C₂×C₅×D₄	C₂²×D₃	1	4	yes	—
450	C₂²×C₄×C₅	—	2	4	no	—
451	C₂²×C₄×C₅	—	3	1	no	—
452	C₂²×C₄×C₅	—	3	8	no	—
453	C₂²×C₄×C₅	—	3	1	no	—
454	C₂²×C₄×C₅	—	3	1	no	—
455	C₂²×C₄×C₅	—	3	1	no	—
456	C₂²×C₄×C₅	—	3	1	no	—
457	C₂²×C₄×C₅	—	3	2	no	—
458	C₂²×C₄×C₅	—	3	1	no	—
459	C₂²×C₄×C₅	—	3	2	no	—
460	C₂²×C₄×C₅	—	3	2	no	—
461	C₂²×C₄×C₅	—	3	2	no	—
462	C₂²×C₄×C₅	—	3	2	no	—
463	C₂²×C₄×C₅	—	3	2	no	—
464	C₂²×C₄×C₅	—	3	4	no	—
465	C₂²×C₄×C₅	—	6	8	no	—
466	C₂²×C₄×C₅	—	6	4	no	—
467	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
468	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
469	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
470	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
471	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
472	C₅×C₄⋊C₄	—	3	4	no	—
473	C₅×C₄⋊C₄	—	3	2	no	—
474	C₅×C₄⋊C₄	—	3	4	no	—
475	C₅×C₄⋊C₄	—	3	4	no	—
476	C₅×C₄⋊C₄	—	3	4	no	—
477	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
478	C₅×C₄⋊C₄	C₂²×D₃	1	4	yes	—
479	C₅×C₂²⋊C₄	—	3	2	no	—
480	C₅×C₂²⋊C₄	—	3	4	no	—
481	C₅×C₂²⋊C₄	—	3	4	no	—
482	C₅×C₂²⋊C₄	—	3	4	no	—
483	C₅×C₂²⋊C₄	—	3	4	no	—
484	C₅×C₂²⋊C₄	—	3	4	no	—
485	C₅×C₂²⋊C₄	—	3	4	no	—
486	C₅×C₂²⋊C₄	—	3	4	no	—
487	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
488	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
489	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
490	C₄²×C₅	—	3	4	no	—
491	C₄²×C₅	—	3	2	no	—
492	C₄²×C₅	C₂²×D₃	1	2	yes	—
493	C₂²×#41	—	3	1	no	—
494	C₂²×#41	—	3	1	no	—
495	#537	—	3	2	no	—
496	#537	—	3	2	no	—
497	#536	—	3	2	no	—
498	#536	—	3	2	no	—
499	#535	—	3	2	no	—
500	#535	—	3	2	no	—
501	#534	—	3	2	no	—
502	#534	—	3	2	no	—
503	#532	—	3	4	no	—
504	#525	—	3	1	no	—
505	#525	—	3	1	no	—
506	#525	—	3	4	no	—
507	#525	—	3	1	no	—
508	#525	C₅×D₃	1	1	yes	characteristic, complemented
509	C₂×#117	—	3	1	no	—
510	C₂²×C₃×C₅	—	2	2	no	—
511	C₂²×C₃×C₅	—	2	2	no	—
512	C₂²×C₃×C₅	—	2	2	no	—
513	C₂²×C₃×C₅	—	2	2	no	—
514	C₂²×C₃×C₅	—	2	4	no	—
515	C₂²×C₃×C₅	—	2	2	no	—
516	C₂²×C₃×C₅	—	4	4	no	—
517	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
518	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
519	C₂×C₅×D₃	—	2	2	no	—
520	C₂×C₅×D₃	—	2	2	no	—
521	C₂×C₅×D₃	—	2	2	no	—
522	C₂×C₅×D₃	—	2	2	no	—
523	C₂×C₅×D₃	—	2	2	no	—
524	C₂×C₅×D₃	—	2	4	no	—
525	C₂×C₅×D₃	—	2	2	no	—
526	C₂×C₅×D₃	—	4	4	no	—
527	C₂×C₅×D₃	—	4	8	no	—
528	C₂×C₅×D₃	—	4	4	no	—
529	C₂×C₅×D₃	C₂²×D₄	1	2	yes	—
530	C₂×C₅×D₃	C₂²×D₄	1	2	yes	—
531	C₃×C₄×C₅	—	2	2	no	—
532	C₃×C₄×C₅	—	2	2	no	—
533	C₃×C₄×C₅	—	2	4	no	—
534	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
535	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
536	C₅×Dic₃	—	2	2	no	—
537	C₅×Dic₃	—	2	2	no	—
538	C₅×Dic₃	—	2	4	no	—
539	C₅×Dic₃	C₂²×D₄	1	2	yes	—
540	C₅×Dic₃	C₂²×D₄	1	2	yes	—
541	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
542	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
543	C₂³×D₃	C₂³×C₅	1	2	yes	—
544	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
545	C₃×#41	—	2	4	no	—
546	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
547	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
548	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
549	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
550	C₂²×C₃×C₄	—	2	4	no	—
551	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
552	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
553	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
554	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
555	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
556	C₂×#67	—	2	4	no	—
557	C₂×#67	—	2	4	no	—
558	C₂×#67	C₂³×C₅	1	2	yes	—
559	C₂×#67	C₂³×C₅	1	2	yes	—
560	C₂×#67	C₂³×C₅	1	2	yes	—
561	C₂×#67	C₂³×C₅	1	2	yes	—
562	C₂×#67	C₂³×C₅	1	2	yes	—
563	C₂×#67	C₂³×C₅	1	2	yes	—
564	C₂×#67	C₂³×C₅	1	2	yes	—
565	C₂×#67	C₂³×C₅	1	4	yes	—
566	C₂×#67	C₂³×C₅	1	4	yes	—
567	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
568	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
569	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
570	#239	—	2	4	no	—
571	D₃×Q₈	—	2	4	no	—
572	#237	—	2	8	no	—
573	#237	—	2	4	no	—
574	D₃×D₄	—	2	8	no	—
575	D₃×D₄	—	2	4	no	—
576	#235	—	2	4	no	—
577	#235	—	2	8	no	—
578	#235	—	2	8	no	—
579	#235	—	2	8	no	—
580	#235	—	2	8	no	—
581	#235	—	2	8	no	—
582	C₂×D₁₂	—	2	4	no	—
583	C₂×D₁₂	C₂³×C₅	1	2	yes	—
584	C₂×D₁₂	C₂³×C₅	1	2	yes	—
585	C₂×D₁₂	C₂³×C₅	1	2	yes	—
586	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
587	C₂×D₁₂	C₂³×C₅	1	4	yes	—
588	C₂×C₄×D₃	—	2	4	no	—
589	C₂×C₄×D₃	—	2	8	no	—
590	C₂×C₄×D₃	C₅×D₄	1	8	yes	complemented
591	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
592	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
593	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
594	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
595	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
596	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
597	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
598	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
599	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
600	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
601	C₂×Dic₆	—	2	4	no	—
602	C₂×Dic₆	C₂³×C₅	1	2	yes	—
603	C₂×Dic₆	C₂³×C₅	1	2	yes	—
604	C₂×Dic₆	C₂³×C₅	1	2	yes	—
605	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
606	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
607	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
608	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
609	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
610	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
611	C₃×C₄²	C₂³×C₅	1	2	yes	—
612	#217	C₂³×C₅	1	2	yes	—
613	#217	C₂³×C₅	1	4	yes	—
614	#217	C₂³×C₅	1	4	yes	—
615	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
616	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
617	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
618	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
619	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
620	C₄⋊Dic₃	C₂³×C₅	1	4	yes	—
621	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
622	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
623	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
624	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
625	C₄×Dic₃	C₂³×C₅	1	2	yes	—
626	C₄×Dic₃	C₂³×C₅	1	4	yes	—
627	C₂³×C₅	—	2	2	no	—
628	C₂³×C₅	—	3	1	no	—
629	C₂³×C₅	—	3	1	no	—
630	C₂³×C₅	—	3	4	no	—
631	C₂³×C₅	—	3	2	no	—
632	C₂³×C₅	—	3	2	no	—
633	C₂³×C₅	—	4	2	no	—
634	C₂³×C₅	—	6	4	no	—
635	C₂³×C₅	—	6	2	no	—
636	C₂³×C₅	—	12	2	no	—
637	C₂³×C₅	—	12	2	no	—
638	C₂³×C₅	—	12	4	no	—
639	C₂³×C₅	C₂³×D₃	1	2	yes	—
640	C₂³×C₅	C₂³×D₃	1	2	yes	—
641	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
642	C₅×Q₈	—	2	2	no	—
643	C₅×Q₈	—	6	4	no	—
644	C₅×Q₈	—	6	4	no	—
645	C₅×Q₈	—	6	4	no	—
646	C₅×Q₈	—	6	2	no	—
647	C₅×D₄	—	2	4	no	—
648	C₅×D₄	—	2	2	no	—
649	C₅×D₄	—	4	4	no	—
650	C₅×D₄	—	6	4	no	—
651	C₅×D₄	—	6	4	no	—
652	C₅×D₄	—	6	4	no	—
653	C₅×D₄	—	6	4	no	—
654	C₅×D₄	—	6	4	no	—
655	C₅×D₄	—	6	4	no	—
656	C₅×D₄	—	6	4	no	—
657	C₅×D₄	—	6	4	no	—
658	C₅×D₄	—	6	4	no	—
659	C₅×D₄	—	6	4	no	—
660	C₅×D₄	—	6	2	no	—
661	C₅×D₄	—	12	4	no	—
662	C₅×D₄	—	12	4	no	—
663	C₅×D₄	—	12	4	no	—
664	C₂×C₄×C₅	—	2	2	no	—
665	C₂×C₄×C₅	—	2	4	no	—
666	C₂×C₄×C₅	—	2	4	no	—
667	C₂×C₄×C₅	—	2	4	no	—
668	C₂×C₄×C₅	—	3	4	no	—
669	C₂×C₄×C₅	—	3	1	no	—
670	C₂×C₄×C₅	—	3	1	no	—
671	C₂×C₄×C₅	—	3	4	no	—
672	C₂×C₄×C₅	—	3	4	no	—
673	C₂×C₄×C₅	—	3	4	no	—
674	C₂×C₄×C₅	—	3	4	no	—
675	C₂×C₄×C₅	—	3	4	no	—
676	C₂×C₄×C₅	—	3	2	no	—
677	C₂×C₄×C₅	—	3	2	no	—
678	C₂×C₄×C₅	—	6	4	no	—
679	C₂×C₄×C₅	—	6	4	no	—
680	C₂×C₄×C₅	—	6	4	no	—
681	C₂×C₄×C₅	—	6	2	no	—
682	C₂×C₄×C₅	—	6	4	no	—
683	C₂×C₄×C₅	—	6	4	no	—
684	C₂×C₄×C₅	—	6	4	no	—
685	C₂×C₄×C₅	—	12	4	no	—
686	C₂×C₄×C₅	D₃×D₄	1	4	yes	—
687	C₂×C₄×C₅	C₂³×D₃	1	4	yes	—
688	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
689	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
690	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
691	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
692	C₂×#41	—	3	1	no	—
693	C₂×#41	—	3	2	no	—
694	C₂×#41	—	3	1	no	—
695	C₂×#41	—	3	2	no	—
696	C₂×#41	—	3	1	no	—
697	C₂×#41	—	3	2	no	—
698	C₂×#41	—	3	2	no	—
699	C₂×#41	—	3	2	no	—
700	C₂×#41	—	3	2	no	—
701	C₂×#41	—	6	8	no	—
702	C₂×#41	—	6	8	no	—
703	C₂×#41	C₂×C₅×D₃	1	1	yes	characteristic
704	C₂²×Q₈	—	3	1	no	—
705	C₂²×Q₈	—	3	1	no	—
706	C₂²×D₄	—	3	1	no	—
707	C₂²×D₄	—	3	1	no	—
708	C₂²×D₄	—	3	2	no	—
709	C₂²×D₄	—	3	1	no	—
710	C₂²×D₄	—	3	1	no	—
711	C₂³×C₄	—	3	1	no	—
712	C₂³×C₄	—	3	2	no	—
713	C₂³×C₄	—	3	1	no	—
714	C₂³×C₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
715	C₄⋊Q₈	—	3	4	no	—
716	#127	—	3	4	no	—
717	#124	—	3	4	no	—
718	#124	—	3	4	no	—
719	#123	—	3	2	no	—
720	#123	—	3	2	no	—
721	#123	—	3	4	no	—
722	#123	—	3	4	no	—
723	#123	—	3	2	no	—
724	#123	C₂×C₅×D₃	1	2	yes	complemented
725	C₂²⋊Q₈	—	3	2	no	—
726	C₂²⋊Q₈	—	3	2	no	—
727	C₂²⋊Q₈	—	3	4	no	—
728	C₂²⋊Q₈	—	3	2	no	—
729	C₂²⋊Q₈	—	3	4	no	—
730	C₂²⋊Q₈	C₂×C₅×D₃	1	2	yes	complemented
731	#121	—	3	2	no	—
732	#121	—	3	4	no	—
733	#121	—	3	4	no	—
734	#121	—	3	2	no	—
735	#121	—	3	2	no	—
736	#121	—	3	4	no	—
737	#121	—	3	4	no	—
738	#121	—	3	4	no	—
739	#121	—	3	4	no	—
740	#121	C₂×C₅×D₃	1	2	yes	complemented
741	#120	—	3	2	no	—
742	#120	—	3	2	no	—
743	#120	—	3	4	no	—
744	#120	—	3	4	no	—
745	#120	—	3	2	no	—
746	#120	C₂×C₅×D₃	1	2	yes	complemented
747	C₄×D₄	—	3	4	no	—
748	C₄×D₄	—	3	4	no	—
749	C₄×D₄	—	3	4	no	—
750	C₄×D₄	C₂×C₅×D₃	1	4	yes	complemented
751	#117	—	3	1	no	—
752	#117	—	3	2	no	—
753	#117	—	3	2	no	—
754	#117	—	3	2	no	—
755	#117	C₂×C₅×D₃	1	1	yes	characteristic, complemented
756	C₂×C₄⋊C₄	—	3	2	no	—
757	C₂×C₂²⋊C₄	—	3	2	no	—
758	C₂×C₄²	—	3	2	no	—
759	C₂×C₃×C₅	—	2	2	no	—
760	C₂×C₃×C₅	—	4	2	no	—
761	C₂×C₃×C₅	—	4	2	no	—
762	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
763	C₂×C₃×C₅	#585	1	2	yes	—
764	C₅×D₃	—	2	2	no	—
765	C₅×D₃	—	2	2	no	—
766	C₅×D₃	—	4	2	no	—
767	C₅×D₃	—	4	2	no	—
768	C₂³×C₃	—	2	2	no	—
769	C₂³×C₃	—	4	2	no	—
770	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
771	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
772	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
773	C₂²×D₃	—	2	2	no	—
774	C₂²×D₃	—	2	4	no	—
775	C₂²×D₃	—	4	2	no	—
776	C₂²×D₃	—	4	4	no	—
777	C₂²×D₃	—	4	2	no	—
778	C₂²×D₃	C₂×C₅×D₄	1	4	yes	—
779	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
780	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
781	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
782	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
783	C₃×Q₈	—	2	2	no	—
784	C₃×D₄	—	2	4	no	—
785	C₃×D₄	—	2	2	no	—
786	C₃×D₄	—	4	4	no	—
787	C₂×C₃×C₄	—	2	2	no	—
788	C₂×C₃×C₄	—	2	4	no	—
789	C₂×C₃×C₄	—	2	4	no	—
790	C₂×C₃×C₄	—	2	4	no	—
791	C₂×C₃×C₄	C₂×C₅×D₄	1	4	yes	—
792	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
793	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
794	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
795	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
796	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
797	#67	—	2	4	no	—
798	#67	—	2	4	no	—
799	#67	—	2	4	no	—
800	#67	—	2	4	no	—
801	#67	—	2	4	no	—
802	#67	—	2	4	no	—
803	#67	—	2	4	no	—
804	#67	—	4	4	no	—
805	#67	—	4	4	no	—
806	C₂×Dic₃	—	2	2	no	—
807	C₂×Dic₃	—	2	4	no	—
808	C₂×Dic₃	C₂×C₅×D₄	1	4	yes	—
809	C₂×Dic₃	C₂⁴×C₅	1	4	yes	—
810	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
811	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
812	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
813	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
814	D₁₂	—	2	4	no	—
815	D₁₂	—	2	4	no	—
816	D₁₂	—	2	4	no	—
817	D₁₂	—	2	2	no	—
818	D₁₂	—	4	4	no	—
819	C₄×D₃	—	2	4	no	—
820	C₄×D₃	—	2	4	no	—
821	C₄×D₃	—	2	4	no	—
822	C₄×D₃	—	2	4	no	—
823	C₄×D₃	—	2	4	no	—
824	C₄×D₃	—	4	4	no	—
825	C₄×D₃	C₂×C₅×D₄	1	4	yes	—
826	C₄×D₃	C₂×C₅×D₄	1	4	yes	—
827	C₄×D₃	C₂×C₅×D₄	1	4	yes	—
828	C₄×D₃	C₂×C₅×D₄	1	4	yes	—
829	Dic₆	—	2	2	no	—
830	Dic₆	—	2	4	no	—
831	Dic₆	—	2	4	no	—
832	Dic₆	—	2	4	no	—
833	C₂²×C₅	—	2	2	no	—
834	C₂²×C₅	—	2	2	no	—
835	C₂²×C₅	—	2	2	no	—
836	C₂²×C₅	—	2	2	no	—
837	C₂²×C₅	—	2	4	no	—
838	C₂²×C₅	—	2	2	no	—
839	C₂²×C₅	—	3	2	no	—
840	C₂²×C₅	—	3	2	no	—
841	C₂²×C₅	—	4	4	no	—
842	C₂²×C₅	—	6	2	no	—
843	C₂²×C₅	—	6	2	no	—
844	C₂²×C₅	—	6	2	no	—
845	C₂²×C₅	—	6	2	no	—
846	C₂²×C₅	—	6	2	no	—
847	C₂²×C₅	—	6	4	no	—
848	C₂²×C₅	—	6	2	no	—
849	C₂²×C₅	—	12	4	no	—
850	C₂²×C₅	—	12	4	no	—
851	C₂²×C₅	—	12	8	no	—
852	C₂²×C₅	C₂×D₃×D₄	1	2	yes	—
853	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
854	C₄×C₅	—	2	2	no	—
855	C₄×C₅	—	2	2	no	—
856	C₄×C₅	—	2	4	no	—
857	C₄×C₅	—	3	2	no	—
858	C₄×C₅	—	3	2	no	—
859	C₄×C₅	—	6	2	no	—
860	C₄×C₅	—	6	2	no	—
861	C₄×C₅	—	6	4	no	—
862	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
863	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
864	C₂⁴	—	3	1	no	—
865	C₂⁴	—	3	2	no	—
866	C₂⁴	—	3	1	no	—
867	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
868	#41	—	2	4	no	—
869	#41	—	6	8	no	—
870	#41	—	6	8	no	—
871	#41	—	6	8	no	—
872	#41	—	6	8	no	—
873	#41	—	6	8	no	—
874	#41	—	6	8	no	—
875	#41	—	6	4	no	—
876	#41	—	6	4	no	—
877	#41	—	6	4	no	—
878	C₂×Q₈	—	3	2	no	—
879	C₂×Q₈	—	3	1	no	—
880	C₂×Q₈	—	3	2	no	—
881	C₂×Q₈	—	3	2	no	—
882	C₂×Q₈	—	6	4	no	—
883	C₂×Q₈	—	6	4	no	—
884	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
885	C₂×D₄	—	3	2	no	—
886	C₂×D₄	—	3	2	no	—
887	C₂×D₄	—	3	2	no	—
888	C₂×D₄	—	3	2	no	—
889	C₂×D₄	—	3	2	no	—
890	C₂×D₄	—	3	2	no	—
891	C₂×D₄	—	3	2	no	—
892	C₂×D₄	—	3	4	no	—
893	C₂×D₄	—	3	4	no	—
894	C₂×D₄	—	3	2	no	—
895	C₂×D₄	—	3	2	no	—
896	C₂×D₄	—	3	2	no	—
897	C₂×D₄	—	3	1	no	—
898	C₂×D₄	—	3	4	no	—
899	C₂×D₄	—	6	4	no	—
900	C₂×D₄	—	6	4	no	—
901	C₂×D₄	—	6	4	no	—
902	C₂×D₄	—	6	8	no	—
903	C₂×D₄	—	6	4	no	—
904	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
905	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
906	C₂×D₄	C₂²×C₅×D₃	1	4	yes	—
907	C₂²×C₄	—	2	4	no	—
908	C₂²×C₄	—	3	1	no	—
909	C₂²×C₄	—	3	8	no	—
910	C₂²×C₄	—	3	1	no	—
911	C₂²×C₄	—	3	1	no	—
912	C₂²×C₄	—	3	1	no	—
913	C₂²×C₄	—	3	1	no	—
914	C₂²×C₄	—	3	2	no	—
915	C₂²×C₄	—	3	1	no	—
916	C₂²×C₄	—	3	2	no	—
917	C₂²×C₄	—	3	2	no	—
918	C₂²×C₄	—	3	2	no	—
919	C₂²×C₄	—	3	2	no	—
920	C₂²×C₄	—	3	2	no	—
921	C₂²×C₄	—	3	4	no	—
922	C₂²×C₄	—	6	8	no	—
923	C₂²×C₄	—	6	4	no	—
924	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
925	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
926	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
927	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
928	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
929	C₄⋊C₄	—	3	4	no	—
930	C₄⋊C₄	—	3	2	no	—
931	C₄⋊C₄	—	3	4	no	—
932	C₄⋊C₄	—	3	4	no	—
933	C₄⋊C₄	—	3	4	no	—
934	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
935	C₄⋊C₄	C₂²×C₅×D₃	1	4	yes	—
936	C₂²⋊C₄	—	3	2	no	—
937	C₂²⋊C₄	—	3	4	no	—
938	C₂²⋊C₄	—	3	4	no	—
939	C₂²⋊C₄	—	3	4	no	—
940	C₂²⋊C₄	—	3	4	no	—
941	C₂²⋊C₄	—	3	4	no	—
942	C₂²⋊C₄	—	3	4	no	—
943	C₂²⋊C₄	—	3	4	no	—
944	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
945	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	—
946	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	—
947	C₄²	—	3	2	no	—
948	C₄²	—	3	4	no	—
949	C₄²	C₂²×C₅×D₃	1	2	yes	—
950	C₃×C₅	#3449	1	1	yes	characteristic, complemented, Hall
951	C₂²×C₃	—	2	2	no	—
952	C₂²×C₃	—	2	2	no	—
953	C₂²×C₃	—	2	2	no	—
954	C₂²×C₃	—	2	2	no	—
955	C₂²×C₃	—	2	4	no	—
956	C₂²×C₃	—	2	2	no	—
957	C₂²×C₃	—	4	4	no	—
958	C₂²×C₃	C₂²×C₅×D₄	1	2	yes	—
959	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
960	C₂×D₃	—	2	2	no	—
961	C₂×D₃	—	2	2	no	—
962	C₂×D₃	—	2	2	no	—
963	C₂×D₃	—	2	2	no	—
964	C₂×D₃	—	2	2	no	—
965	C₂×D₃	—	2	4	no	—
966	C₂×D₃	—	2	2	no	—
967	C₂×D₃	—	4	4	no	—
968	C₂×D₃	—	4	8	no	—
969	C₂×D₃	—	4	4	no	—
970	C₂×D₃	C₂²×C₅×D₄	1	2	yes	—
971	C₂×D₃	C₂²×C₅×D₄	1	2	yes	—
972	C₃×C₄	—	2	2	no	—
973	C₃×C₄	—	2	2	no	—
974	C₃×C₄	—	2	4	no	—
975	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
976	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
977	Dic₃	—	2	2	no	—
978	Dic₃	—	2	2	no	—
979	Dic₃	—	2	4	no	—
980	Dic₃	C₂²×C₅×D₄	1	2	yes	—
981	Dic₃	C₂²×C₅×D₄	1	2	yes	—
982	C₂×C₅	—	2	2	no	—
983	C₂×C₅	—	4	2	no	—
984	C₂×C₅	—	4	2	no	—
985	C₂×C₅	—	6	2	no	—
986	C₂×C₅	—	6	2	no	—
987	C₂×C₅	—	12	2	no	—
988	C₂×C₅	—	12	2	no	—
989	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
990	C₂×C₅	#5964	1	2	yes	—
991	C₂³	—	2	2	no	—
992	C₂³	—	3	1	no	—
993	C₂³	—	3	1	no	—
994	C₂³	—	3	4	no	—
995	C₂³	—	3	2	no	—
996	C₂³	—	3	2	no	—
997	C₂³	—	4	2	no	—
998	C₂³	—	6	4	no	—
999	C₂³	—	6	2	no	—
1000	C₂³	—	12	2	no	—
1001	C₂³	—	12	2	no	—
1002	C₂³	—	12	4	no	—
1003	C₂³	C₂³×C₅×D₃	1	2	yes	—
1004	C₂³	C₂³×C₅×D₃	1	2	yes	—
1005	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1006	Q₈	—	2	2	no	—
1007	Q₈	—	6	4	no	—
1008	Q₈	—	6	4	no	—
1009	Q₈	—	6	4	no	—
1010	Q₈	—	6	2	no	—
1011	D₄	—	2	4	no	—
1012	D₄	—	2	2	no	—
1013	D₄	—	4	4	no	—
1014	D₄	—	6	4	no	—
1015	D₄	—	6	4	no	—
1016	D₄	—	6	4	no	—
1017	D₄	—	6	4	no	—
1018	D₄	—	6	4	no	—
1019	D₄	—	6	4	no	—
1020	D₄	—	6	4	no	—
1021	D₄	—	6	4	no	—
1022	D₄	—	6	4	no	—
1023	D₄	—	6	4	no	—
1024	D₄	—	6	2	no	—
1025	D₄	—	12	4	no	—
1026	D₄	—	12	4	no	—
1027	D₄	—	12	4	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	4	no	—
1030	C₂×C₄	—	2	4	no	—
1031	C₂×C₄	—	2	4	no	—
1032	C₂×C₄	—	3	4	no	—
1033	C₂×C₄	—	3	1	no	—
1034	C₂×C₄	—	3	1	no	—
1035	C₂×C₄	—	3	4	no	—
1036	C₂×C₄	—	3	4	no	—
1037	C₂×C₄	—	3	4	no	—
1038	C₂×C₄	—	3	4	no	—
1039	C₂×C₄	—	3	4	no	—
1040	C₂×C₄	—	3	2	no	—
1041	C₂×C₄	—	3	2	no	—
1042	C₂×C₄	—	6	4	no	—
1043	C₂×C₄	—	6	4	no	—
1044	C₂×C₄	—	6	4	no	—
1045	C₂×C₄	—	6	2	no	—
1046	C₂×C₄	—	6	4	no	—
1047	C₂×C₄	—	6	4	no	—
1048	C₂×C₄	—	6	4	no	—
1049	C₂×C₄	—	12	4	no	—
1050	C₂×C₄	C₅×D₃×D₄	1	4	yes	—
1051	C₂×C₄	C₂³×C₅×D₃	1	4	yes	—
1052	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1053	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1054	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1055	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1056	C₂×C₃	—	2	2	no	—
1057	C₂×C₃	—	4	2	no	—
1058	C₂×C₃	—	4	2	no	—
1059	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
1060	C₂×C₃	C₅×#585	1	2	yes	—
1061	D₃	—	2	2	no	—
1062	D₃	—	2	2	no	—
1063	D₃	—	4	2	no	—
1064	D₃	—	4	2	no	—
1065	C₅	#86035	1	1	yes	characteristic, direct product factor, Sylow
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	2	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	4	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	3	2	no	—
1073	C₂²	—	3	2	no	—
1074	C₂²	—	4	4	no	—
1075	C₂²	—	6	2	no	—
1076	C₂²	—	6	2	no	—
1077	C₂²	—	6	2	no	—
1078	C₂²	—	6	2	no	—
1079	C₂²	—	6	2	no	—
1080	C₂²	—	6	4	no	—
1081	C₂²	—	6	2	no	—
1082	C₂²	—	12	4	no	—
1083	C₂²	—	12	4	no	—
1084	C₂²	—	12	8	no	—
1085	C₂²	C₂×C₅×D₃×D₄	1	2	yes	—
1086	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	4	no	—
1090	C₄	—	3	2	no	—
1091	C₄	—	3	2	no	—
1092	C₄	—	6	2	no	—
1093	C₄	—	6	2	no	—
1094	C₄	—	6	4	no	—
1095	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
1096	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
1097	C₃	C₅×#3449	1	1	yes	characteristic, complemented, Sylow
1098	C₂	—	2	2	no	—
1099	C₂	—	4	2	no	—
1100	C₂	—	4	2	no	—
1101	C₂	—	6	2	no	—
1102	C₂	—	6	2	no	—
1103	C₂	—	12	2	no	—
1104	C₂	—	12	2	no	—
1105	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic
1106	C₂	C₅×#5964	1	2	yes	—

	subgroup	G/H
center	C₂×C₄×C₅	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#525	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#525	D₃
hypocenter	C₃	C₅×#3449
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₅×#525

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×D₃×#41	C₂	semidirect
2. C₂²×C₅×#235	C₂	semidirect
3. C₃×C₅×#525	C₂	semidirect
4. C₅×#5828	C₂	semidirect
5. C₅×#5791	C₂	semidirect
6. C₅×#5653	C₂	semidirect
7. C₅×#5648	C₂	semidirect
8. C₅×#5629	C₂	semidirect
9. C₅×#5628	C₂	semidirect
10. C₅×#5608	C₂	semidirect
11. C₅×#5607	C₂	semidirect
12. C₅×#5592	C₂	semidirect
13. C₅×#5589	C₂	semidirect
14. C₅×#5548	C₂	semidirect
15. C₅×#5547	C₂	semidirect
16. C₅×#5524	C₂	semidirect
17. C₅×D₃×#117	C₂	semidirect
20. C₂³×C₃×C₄×C₅	C₂²	semidirect
22. C₂²×C₅×#67	C₂²	semidirect
24. C₂×C₅×#239	C₂²	semidirect
25. C₂×C₅×D₃×Q₈	C₂²	semidirect
27. C₂×C₅×#237	C₂²	semidirect
29. C₂×C₅×D₃×D₄	C₂²	semidirect
34. C₂×C₅×#235	C₂²	semidirect
35. C₂×C₅×#235	C₂²	semidirect
36. C₂×C₅×#235	C₂²	semidirect
39. C₂²×C₄×C₅×D₃	C₂²	semidirect
40. C₂²×C₄×C₅×D₃	C₂²	semidirect
41. C₂²×C₅×Dic₆	C₂²	semidirect
42. C₃×C₅×#123	C₂²	semidirect
43. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
44. C₃×C₅×#121	C₂²	semidirect
45. C₃×C₅×#120	C₂²	semidirect
46. C₃×C₄×C₅×D₄	C₂²	semidirect
47. C₃×C₅×#117	C₂²	semidirect
48. C₅×#953	C₂²	semidirect
49. C₅×#946	C₂²	semidirect
50. C₅×#940	C₂²	semidirect
51. C₅×#939	C₂²	semidirect
52. C₅×#938	C₂²	semidirect
53. C₅×#938	C₂²	semidirect
54. C₅×#937	C₂²	semidirect
55. C₅×#937	C₂²	semidirect
56. C₅×#935	C₂²	semidirect
57. C₅×#930	C₂²	semidirect
58. C₅×#929	C₂²	semidirect
59. C₄×C₅×#67	C₂²	semidirect
60. C₄×C₅×#67	C₂²	semidirect
61. C₅×#926	C₂²	semidirect
62. C₅×#924	C₂²	semidirect
63. C₅×#897	C₂²	semidirect
64. C₅×#896	C₂²	semidirect
65. C₅×#895	C₂²	semidirect
66. C₅×#895	C₂²	semidirect
67. C₅×#894	C₂²	semidirect
68. C₅×#892	C₂²	semidirect
69. C₅×D₃×C₄⋊C₄	C₂²	semidirect
70. C₅×#888	C₂²	semidirect
71. C₅×#886	C₂²	semidirect
72. C₅×#885	C₂²	semidirect
73. C₅×#885	C₂²	semidirect
74. C₅×#884	C₂²	semidirect
75. C₅×#884	C₂²	semidirect
76. C₅×#884	C₂²	semidirect
77. C₅×#883	C₂²	semidirect
78. C₅×#882	C₂²	semidirect
79. C₅×#882	C₂²	semidirect
81. C₅×#878	C₂²	semidirect
82. C₅×#877	C₂²	semidirect
83. C₄×C₅×D₁₂	C₂²	semidirect
84. C₅×#872	C₂²	semidirect
85. C₄²×C₅×D₃	C₂²	semidirect
86. #86035	C₅	direct (N × H)
102. C₅×#525	D₃	semidirect
153. C₂×C₄×C₅×D₃	D₄	semidirect
190. C₂×D₃×#41	C₂×C₅	semidirect
191. C₂²×#235	C₂×C₅	semidirect
192. C₃×#525	C₂×C₅	semidirect
193. #5828	C₂×C₅	semidirect
194. #5791	C₂×C₅	semidirect
195. #5653	C₂×C₅	semidirect
196. #5648	C₂×C₅	semidirect
197. #5629	C₂×C₅	semidirect
198. #5628	C₂×C₅	semidirect
199. #5608	C₂×C₅	semidirect
200. #5607	C₂×C₅	semidirect
201. #5592	C₂×C₅	semidirect
202. #5589	C₂×C₅	semidirect
203. #5548	C₂×C₅	semidirect
204. #5547	C₂×C₅	semidirect
205. #5524	C₂×C₅	semidirect
206. D₃×#117	C₂×C₅	semidirect
229. C₂³×C₄×C₅	C₂×D₃	semidirect
239. C₅×#123	C₂×D₃	semidirect
245. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
255. C₅×#121	C₂×D₃	semidirect
261. C₅×#120	C₂×D₃	semidirect
265. C₄×C₅×D₄	C₂×D₃	semidirect
270. C₅×#117	C₂×D₃	semidirect
341. C₂³×C₃×C₄	C₂²×C₅	semidirect
343. C₂²×#67	C₂²×C₅	semidirect
345. C₂×#239	C₂²×C₅	semidirect
346. C₂×D₃×Q₈	C₂²×C₅	semidirect
348. C₂×#237	C₂²×C₅	semidirect
350. C₂×D₃×D₄	C₂²×C₅	semidirect
355. C₂×#235	C₂²×C₅	semidirect
356. C₂×#235	C₂²×C₅	semidirect
357. C₂×#235	C₂²×C₅	semidirect
360. C₂²×C₄×D₃	C₂²×C₅	semidirect
361. C₂²×C₄×D₃	C₂²×C₅	semidirect
362. C₂²×Dic₆	C₂²×C₅	semidirect
363. C₃×#123	C₂²×C₅	semidirect
364. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
365. C₃×#121	C₂²×C₅	semidirect
366. C₃×#120	C₂²×C₅	semidirect
367. C₃×C₄×D₄	C₂²×C₅	semidirect
368. C₃×#117	C₂²×C₅	semidirect
369. #953	C₂²×C₅	semidirect
370. #946	C₂²×C₅	semidirect
371. #940	C₂²×C₅	semidirect
372. #939	C₂²×C₅	semidirect
373. #938	C₂²×C₅	semidirect
374. #938	C₂²×C₅	semidirect
375. #937	C₂²×C₅	semidirect
376. #937	C₂²×C₅	semidirect
377. #935	C₂²×C₅	semidirect
378. #930	C₂²×C₅	semidirect
379. #929	C₂²×C₅	semidirect
380. C₄×#67	C₂²×C₅	semidirect
381. C₄×#67	C₂²×C₅	semidirect
382. #926	C₂²×C₅	semidirect
383. #924	C₂²×C₅	semidirect
384. #897	C₂²×C₅	semidirect
385. #896	C₂²×C₅	semidirect
386. #895	C₂²×C₅	semidirect
387. #895	C₂²×C₅	semidirect
388. #894	C₂²×C₅	semidirect
389. #892	C₂²×C₅	semidirect
390. D₃×C₄⋊C₄	C₂²×C₅	semidirect
391. #888	C₂²×C₅	semidirect
392. #886	C₂²×C₅	semidirect
393. #885	C₂²×C₅	semidirect
394. #885	C₂²×C₅	semidirect
395. #884	C₂²×C₅	semidirect
396. #884	C₂²×C₅	semidirect
397. #884	C₂²×C₅	semidirect
398. #883	C₂²×C₅	semidirect
399. #882	C₂²×C₅	semidirect
400. #882	C₂²×C₅	semidirect
402. #878	C₂²×C₅	semidirect
403. #877	C₂²×C₅	semidirect
404. C₄×D₁₂	C₂²×C₅	semidirect
405. #872	C₂²×C₅	semidirect
406. C₄²×D₃	C₂²×C₅	semidirect
508. #525	C₅×D₃	semidirect
590. C₂×C₄×D₃	C₅×D₄	semidirect
714. C₂³×C₄	C₂×C₅×D₃	semidirect
724. #123	C₂×C₅×D₃	semidirect
730. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
740. #121	C₂×C₅×D₃	semidirect
746. #120	C₂×C₅×D₃	semidirect
750. C₄×D₄	C₂×C₅×D₃	semidirect
755. #117	C₂×C₅×D₃	semidirect
950. C₃×C₅	#3449	semidirect
1065. C₅	#86035	direct (N × H)
1097. C₃	C₅×#3449	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×D₃×#41	2
C₂²×C₅×#235	2
C₃×C₅×#525	2
C₅×#5828	2
C₅×#5791	2
C₅×#5653	2
C₅×#5648	2
C₅×#5629	2
C₅×#5628	2
C₅×#5608	2
C₅×#5607	2
C₅×#5592	2
C₅×#5589	2
C₅×#5548	2
C₅×#5547	2
C₅×#5524	2
C₅×D₃×#117	2
C₅×#3449	3
#86035	5

Subgroups — C5×#86035 #14480641

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#86035 #14480641