Subgroups — C₅×#86238 #14483042

Order 1920.

3296 conjugacy classes of subgroups.

The subgroup lattice has 1024 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	2	yes	maximal, complemented
2	C₃×C₅×#532	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#5828	C₂	1	2	yes	maximal, complemented
4	C₅×#5727	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#5726	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5718	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#5717	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#5677	C₂	1	2	yes	maximal, complemented
9	C₅×#5676	C₂	1	2	yes	maximal, complemented
10	C₅×#5611	C₂	1	2	yes	maximal, complemented
11	C₅×#5610	C₂	1	4	yes	maximal, complemented
12	C₅×#5609	C₂	1	2	yes	maximal, complemented
13	C₅×#5548	C₂	1	2	yes	maximal, complemented
14	C₅×#5547	C₂	1	4	yes	maximal, complemented
15	C₄×C₅×D₃×D₄	C₂	1	2	yes	maximal, complemented
16	C₄×C₅×#235	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄×C₅×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×D₄×#41	—	3	1	no	maximal, Hall
19	C₂×C₃×C₅×#41	C₂²	1	2	yes	complemented
20	C₅×D₃×#41	—	2	16	no	—
21	C₂×C₅×#239	C₂²	1	2	yes	complemented
22	C₂×C₅×D₃×Q₈	C₂²	1	2	yes	complemented
23	C₂×C₅×#237	C₂²	1	2	yes	complemented
24	C₂×C₅×#237	C₂²	1	4	yes	complemented
25	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
26	C₂×C₅×D₃×D₄	C₂²	1	2	yes	complemented
27	C₂×C₅×D₃×D₄	C₂²	1	4	yes	complemented
28	C₂×C₅×#235	C₂²	1	1	yes	characteristic
29	C₂×C₅×#235	C₂²	1	4	yes	complemented
30	C₂²×C₅×D₁₂	C₂²	1	1	yes	characteristic
31	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	complemented
32	C₂²×C₄×C₅×D₃	C₂²	1	4	yes	complemented
33	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#127	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#124	C₂²	1	2	yes	complemented
36	C₃×C₅×#121	C₂²	1	2	yes	complemented
37	C₃×C₅×#121	C₂²	1	2	yes	complemented
38	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
39	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
41	C₅×#946	C₂²	1	2	yes	complemented
42	C₅×#946	C₂²	1	2	yes	complemented
43	C₅×#940	C₂²	1	2	yes	complemented
44	C₅×#939	C₂²	1	4	yes	complemented
45	C₅×#938	C₂²	1	2	yes	complemented
46	C₅×#938	C₂²	1	2	yes	complemented
47	C₅×#938	C₂²	1	2	yes	complemented
48	C₅×#937	C₂²	1	4	yes	complemented
49	C₅×#937	C₂²	1	4	yes	complemented
50	C₅×#935	C₂²	1	4	yes	complemented
51	C₅×D₄×Dic₃	C₂²	1	2	yes	complemented
52	C₄×C₅×#67	C₂²	1	2	yes	complemented
53	C₄×C₅×#67	C₂²	1	2	yes	complemented
54	C₄×C₅×#67	C₂²	1	4	yes	complemented
55	C₄×C₅×#67	C₂²	1	4	yes	complemented
56	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
57	C₅×#926	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
59	C₅×#896	C₂²	1	4	yes	complemented
60	C₅×#895	C₂²	1	2	yes	complemented
61	C₅×#894	C₂²	1	4	yes	complemented
62	C₅×#893	C₂²	1	2	yes	—
63	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
64	C₅×#888	C₂²	1	2	yes	complemented
65	C₅×#885	C₂²	1	4	yes	complemented
66	C₅×#884	C₂²	1	4	yes	complemented
67	C₅×#884	C₂²	1	4	yes	complemented
68	C₅×#883	C₂²	1	4	yes	complemented
69	C₅×#882	C₂²	1	4	yes	complemented
70	C₅×#67⋊C₄	C₂²	1	4	yes	complemented
71	C₅×D₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
72	C₅×#878	C₂²	1	4	yes	complemented
73	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic
74	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic
75	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
76	C₄×C₅×D₁₂	C₂²	1	2	yes	complemented
77	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
79	C₄×C₅×D₁₂	C₂²	1	2	yes	complemented
80	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
81	C₅×#872	C₂²	1	2	yes	complemented
82	C₄²×C₅×D₃	C₂²	1	2	yes	complemented
83	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
84	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
85	#86238	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
86	C₂²×C₅×#41	—	3	2	no	—
87	C₅×#550	—	3	1	no	—
88	C₅×D₄×Q₈	—	3	1	no	—
89	C₅×#548	—	3	2	no	—
90	C₅×#547	—	3	1	no	—
91	C₅×#547	—	3	2	no	—
92	C₅×#546	—	3	2	no	—
93	C₅×#546	—	3	4	no	—
94	C₅×D₄²	—	3	1	no	—
95	C₅×D₄²	—	3	2	no	—
96	C₅×#532	—	3	2	no	—
97	C₅×#532	D₃	1	1	yes	characteristic, complemented
98	C₅×#525	—	3	2	no	—
99	C₅×#525	—	3	4	no	—
100	C₄×C₅×#41	—	3	1	no	—
101	C₂×C₄×C₅×D₄	—	3	2	no	—
102	C₂×C₄×C₅×D₄	—	3	1	no	—
103	C₂³×C₅×D₃	C₂³	1	4	yes	—
104	C₂³×C₅×D₃	C₂³	1	2	yes	—
105	C₃×C₅×#41	—	2	8	no	—
106	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
107	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
108	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
109	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
110	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
111	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
112	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
113	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
114	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
115	C₂×C₅×#67	C₂³	1	4	yes	—
116	C₂×C₅×#67	C₂³	1	4	yes	—
117	C₂×C₅×#67	C₂³	1	4	yes	—
118	C₂×C₅×#67	C₂³	1	4	yes	—
119	C₂×C₅×#67	C₂³	1	2	yes	—
120	C₂²×C₅×Dic₃	C₂³	1	4	yes	—
121	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
122	C₅×#239	—	2	8	no	—
123	C₅×D₃×Q₈	—	2	8	no	—
124	C₅×#237	—	2	16	no	—
125	C₅×#237	—	2	8	no	—
126	C₅×D₃×D₄	—	2	16	no	—
127	C₅×D₃×D₄	—	2	8	no	—
128	C₅×D₃×D₄	—	2	8	no	—
129	C₅×#235	—	2	16	no	—
130	C₅×#235	D₄	1	8	yes	complemented
131	C₂×C₅×D₁₂	—	2	4	no	—
132	C₂×C₅×D₁₂	C₂³	1	2	yes	—
133	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
134	C₂×C₅×D₁₂	C₂³	1	4	yes	—
135	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
136	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
137	C₂×C₄×C₅×D₃	—	2	8	no	—
138	C₂×C₄×C₅×D₃	—	2	16	no	—
139	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
140	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
141	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
142	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
143	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
144	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
145	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
146	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
147	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
148	C₂×C₅×Dic₆	C₂³	1	4	yes	—
149	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
150	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
151	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
152	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
153	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
154	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
155	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
156	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
157	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
158	C₅×#217	C₂³	1	4	yes	—
159	C₅×#217	C₂³	1	4	yes	—
160	C₅×#217	C₂³	1	2	yes	—
161	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
162	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
163	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
164	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
165	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
166	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
167	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
168	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
169	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
170	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
171	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
172	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
173	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
174	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
175	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
176	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
177	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
178	C₄×C₅×Dic₃	C₂³	1	2	yes	—
179	C₄×C₅×Dic₃	C₂³	1	2	yes	—
180	C₄×C₅×Dic₃	C₂³	1	2	yes	—
181	C₂×D₃×#41	C₂×C₅	1	2	yes	complemented
182	C₃×#532	C₂×C₅	1	1	yes	characteristic, complemented
183	#5828	C₂×C₅	1	2	yes	complemented
184	#5727	C₂×C₅	1	1	yes	characteristic, complemented
185	#5726	C₂×C₅	1	1	yes	characteristic, complemented
186	#5718	C₂×C₅	1	1	yes	characteristic, complemented
187	#5717	C₂×C₅	1	1	yes	characteristic, complemented
188	#5677	C₂×C₅	1	2	yes	complemented
189	#5676	C₂×C₅	1	2	yes	complemented
190	#5611	C₂×C₅	1	2	yes	complemented
191	#5610	C₂×C₅	1	4	yes	complemented
192	#5609	C₂×C₅	1	2	yes	complemented
193	#5548	C₂×C₅	1	2	yes	complemented
194	#5547	C₂×C₅	1	4	yes	complemented
195	C₄×D₃×D₄	C₂×C₅	1	2	yes	complemented
196	C₄×#235	C₂×C₅	1	1	yes	characteristic, complemented
197	C₂×C₄×D₁₂	C₂×C₅	1	1	yes	characteristic, complemented
198	C₂×C₅×#41	—	3	2	no	—
199	C₂×C₅×#41	—	3	4	no	—
200	C₂×C₅×#41	—	3	2	no	—
201	C₂×C₅×#41	—	3	1	no	—
202	C₂×C₅×#41	—	3	4	no	—
203	C₂×C₅×#41	—	6	16	no	—
204	C₂×C₅×#41	C₂×D₃	1	2	yes	complemented
205	C₂²×C₅×Q₈	—	3	2	no	—
206	C₂²×C₅×D₄	—	3	2	no	—
207	C₂²×C₅×D₄	—	3	4	no	—
208	C₂²×C₅×D₄	—	3	2	no	—
209	C₂²×C₅×D₄	—	3	1	no	—
210	C₂³×C₄×C₅	—	3	4	no	—
211	C₂³×C₄×C₅	—	3	2	no	—
212	C₅×C₄⋊Q₈	—	3	2	no	—
213	C₅×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
214	C₅×#127	—	3	2	no	—
215	C₅×#127	C₂×D₃	1	1	yes	characteristic, complemented
216	C₅×#124	—	3	4	no	—
217	C₅×#124	C₂×D₃	1	2	yes	complemented
218	C₅×#123	—	3	4	no	—
219	C₅×#123	—	3	4	no	—
220	C₅×#123	—	3	4	no	—
221	C₅×C₂²⋊Q₈	—	3	2	no	—
222	C₅×C₂²⋊Q₈	—	3	2	no	—
223	C₅×C₂²⋊Q₈	—	3	4	no	—
224	C₅×C₂²⋊Q₈	—	3	4	no	—
225	C₅×#121	—	3	2	no	—
226	C₅×#121	—	3	2	no	—
227	C₅×#121	—	3	2	no	—
228	C₅×#121	—	3	4	no	—
229	C₅×#121	—	3	2	no	—
230	C₅×#121	—	3	4	no	—
231	C₅×#121	—	3	4	no	—
232	C₅×#121	C₂×D₃	1	2	yes	complemented
233	C₅×#121	C₂×D₃	1	2	yes	complemented
234	C₅×#120	—	3	4	no	—
235	C₅×#120	—	3	4	no	—
236	C₅×#120	—	3	4	no	—
237	C₄×C₅×Q₈	—	3	1	no	—
238	C₄×C₅×Q₈	—	3	1	no	—
239	C₄×C₅×D₄	—	3	2	no	—
240	C₄×C₅×D₄	—	3	4	no	—
241	C₄×C₅×D₄	—	3	2	no	—
242	C₄×C₅×D₄	—	3	2	no	—
243	C₄×C₅×D₄	—	3	4	no	—
244	C₄×C₅×D₄	—	3	2	no	—
245	C₄×C₅×D₄	—	3	4	no	—
246	C₄×C₅×D₄	—	3	1	no	—
247	C₄×C₅×D₄	—	3	1	no	—
248	C₄×C₅×D₄	—	3	2	no	—
249	C₄×C₅×D₄	—	3	1	no	—
250	C₄×C₅×D₄	—	3	2	no	—
251	C₄×C₅×D₄	—	3	1	no	—
252	C₄×C₅×D₄	—	3	1	no	—
253	C₄×C₅×D₄	—	3	1	no	—
254	C₄×C₅×D₄	C₂×D₃	1	2	yes	complemented
255	C₄×C₅×D₄	C₂×D₃	1	2	yes	complemented
256	C₅×#117	—	3	1	no	—
257	C₅×#117	—	3	2	no	—
258	C₂×C₅×C₄⋊C₄	—	3	1	no	—
259	C₂×C₅×C₄⋊C₄	—	3	2	no	—
260	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
261	C₂×C₅×C₂²⋊C₄	—	3	4	no	—
262	C₂×C₄²×C₅	—	3	2	no	—
263	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic, complemented
264	D₄×#41	—	3	1	no	Sylow
265	C₂³×C₃×C₅	C₂⁴	1	4	yes	—
266	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
267	C₂²×C₅×D₃	—	2	4	no	—
268	C₂²×C₅×D₃	—	2	8	no	—
269	C₂²×C₅×D₃	—	2	4	no	—
270	C₂²×C₅×D₃	—	2	8	no	—
271	C₂²×C₅×D₃	—	4	4	no	—
272	C₂²×C₅×D₃	—	4	2	no	—
273	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
274	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
275	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
276	C₃×C₅×Q₈	—	2	4	no	—
277	C₃×C₅×D₄	—	2	8	no	—
278	C₃×C₅×D₄	—	2	4	no	—
279	C₃×C₅×D₄	—	2	4	no	—
280	C₃×C₅×D₄	—	4	2	no	—
281	C₂×C₃×C₄×C₅	—	2	8	no	—
282	C₂×C₃×C₄×C₅	—	2	2	no	—
283	C₂×C₃×C₄×C₅	—	4	1	no	—
284	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	complemented
285	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
286	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
287	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
288	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
289	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
290	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
291	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
292	C₅×#67	—	2	8	no	—
293	C₅×#67	—	2	8	no	—
294	C₅×#67	—	2	8	no	—
295	C₅×#67	—	4	4	no	—
296	C₅×#67	C₂×D₄	1	8	yes	complemented
297	C₂×C₅×Dic₃	—	2	4	no	—
298	C₂×C₅×Dic₃	—	2	8	no	—
299	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
300	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
301	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
302	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
303	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
304	C₅×D₁₂	—	2	8	no	—
305	C₅×D₁₂	—	2	4	no	—
306	C₅×D₁₂	—	2	2	no	—
307	C₅×D₁₂	C₂×D₄	1	4	yes	complemented
308	C₅×D₁₂	#41	1	4	yes	complemented
309	C₄×C₅×D₃	—	2	8	no	—
310	C₄×C₅×D₃	—	2	4	no	—
311	C₄×C₅×D₃	—	2	4	no	—
312	C₄×C₅×D₃	—	2	4	no	—
313	C₄×C₅×D₃	—	2	4	no	—
314	C₄×C₅×D₃	—	2	4	no	—
315	C₄×C₅×D₃	—	2	8	no	—
316	C₄×C₅×D₃	—	4	2	no	—
317	C₄×C₅×D₃	C₂×D₄	1	8	yes	complemented
318	C₅×Dic₆	—	2	8	no	—
319	C₅×Dic₆	C₂×D₄	1	4	yes	complemented
320	C₂×C₃×#41	C₂²×C₅	1	2	yes	complemented
321	D₃×#41	—	2	16	no	—
322	C₂×#239	C₂²×C₅	1	2	yes	complemented
323	C₂×D₃×Q₈	C₂²×C₅	1	2	yes	complemented
324	C₂×#237	C₂²×C₅	1	2	yes	complemented
325	C₂×#237	C₂²×C₅	1	4	yes	complemented
326	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
327	C₂×D₃×D₄	C₂²×C₅	1	2	yes	complemented
328	C₂×D₃×D₄	C₂²×C₅	1	4	yes	complemented
329	C₂×#235	C₂²×C₅	1	1	yes	characteristic
330	C₂×#235	C₂²×C₅	1	4	yes	complemented
331	C₂²×D₁₂	C₂²×C₅	1	1	yes	characteristic
332	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	complemented
333	C₂²×C₄×D₃	C₂²×C₅	1	4	yes	complemented
334	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
335	C₃×#127	C₂²×C₅	1	1	yes	characteristic, complemented
336	C₃×#124	C₂²×C₅	1	2	yes	complemented
337	C₃×#121	C₂²×C₅	1	2	yes	complemented
338	C₃×#121	C₂²×C₅	1	2	yes	complemented
339	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
340	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
341	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
342	#946	C₂²×C₅	1	2	yes	complemented
343	#946	C₂²×C₅	1	2	yes	complemented
344	#940	C₂²×C₅	1	2	yes	complemented
345	#939	C₂²×C₅	1	4	yes	complemented
346	#938	C₂²×C₅	1	2	yes	complemented
347	#938	C₂²×C₅	1	2	yes	complemented
348	#938	C₂²×C₅	1	2	yes	complemented
349	#937	C₂²×C₅	1	4	yes	complemented
350	#937	C₂²×C₅	1	4	yes	complemented
351	#935	C₂²×C₅	1	4	yes	complemented
352	D₄×Dic₃	C₂²×C₅	1	2	yes	complemented
353	C₄×#67	C₂²×C₅	1	2	yes	complemented
354	C₄×#67	C₂²×C₅	1	2	yes	complemented
355	C₄×#67	C₂²×C₅	1	4	yes	complemented
356	C₄×#67	C₂²×C₅	1	4	yes	complemented
357	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	2	yes	complemented
358	#926	C₂²×C₅	1	1	yes	characteristic, complemented
359	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
360	#896	C₂²×C₅	1	4	yes	complemented
361	#895	C₂²×C₅	1	2	yes	complemented
362	#894	C₂²×C₅	1	4	yes	complemented
363	#893	C₂²×C₅	1	2	yes	—
364	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
365	#888	C₂²×C₅	1	2	yes	complemented
366	#885	C₂²×C₅	1	4	yes	complemented
367	#884	C₂²×C₅	1	4	yes	complemented
368	#884	C₂²×C₅	1	4	yes	complemented
369	#883	C₂²×C₅	1	4	yes	complemented
370	#882	C₂²×C₅	1	4	yes	complemented
371	#67⋊C₄	C₂²×C₅	1	4	yes	complemented
372	D₃×C₂²⋊C₄	C₂²×C₅	1	4	yes	complemented
373	#878	C₂²×C₅	1	4	yes	complemented
374	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic
375	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic
376	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
377	C₄×D₁₂	C₂²×C₅	1	2	yes	complemented
378	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
379	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
380	C₄×D₁₂	C₂²×C₅	1	2	yes	complemented
381	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
382	#872	C₂²×C₅	1	2	yes	complemented
383	C₄²×D₃	C₂²×C₅	1	2	yes	complemented
384	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
385	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
386	C₂⁴×C₅	—	3	4	no	—
387	C₂⁴×C₅	—	3	2	no	—
388	C₅×#41	—	2	8	no	—
389	C₅×#41	—	3	8	no	—
390	C₅×#41	—	6	16	no	—
391	C₅×#41	—	6	16	no	—
392	C₅×#41	—	6	8	no	—
393	C₅×#41	—	6	8	no	—
394	C₂×C₅×Q₈	—	3	1	no	—
395	C₂×C₅×Q₈	—	3	4	no	—
396	C₂×C₅×Q₈	—	6	8	no	—
397	C₂×C₅×Q₈	C₂²×D₃	1	2	yes	—
398	C₂×C₅×D₄	—	3	2	no	—
399	C₂×C₅×D₄	—	3	4	no	—
400	C₂×C₅×D₄	—	3	4	no	—
401	C₂×C₅×D₄	—	3	4	no	—
402	C₂×C₅×D₄	—	3	4	no	—
403	C₂×C₅×D₄	—	3	1	no	—
404	C₂×C₅×D₄	—	3	1	no	—
405	C₂×C₅×D₄	—	3	2	no	—
406	C₂×C₅×D₄	—	3	1	no	—
407	C₂×C₅×D₄	—	3	4	no	—
408	C₂×C₅×D₄	—	6	4	no	—
409	C₂×C₅×D₄	—	6	16	no	—
410	C₂×C₅×D₄	—	6	8	no	—
411	C₂×C₅×D₄	—	6	8	no	—
412	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
413	C₂×C₅×D₄	C₂²×D₃	1	4	yes	—
414	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
415	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
416	C₂²×C₄×C₅	—	3	2	no	—
417	C₂²×C₄×C₅	—	3	2	no	—
418	C₂²×C₄×C₅	—	3	4	no	—
419	C₂²×C₄×C₅	—	3	2	no	—
420	C₂²×C₄×C₅	—	3	4	no	—
421	C₂²×C₄×C₅	—	3	4	no	—
422	C₂²×C₄×C₅	—	3	2	no	—
423	C₂²×C₄×C₅	—	3	2	no	—
424	C₂²×C₄×C₅	—	3	2	no	—
425	C₂²×C₄×C₅	—	3	2	no	—
426	C₂²×C₄×C₅	—	3	2	no	—
427	C₂²×C₄×C₅	—	6	16	no	—
428	C₂²×C₄×C₅	—	6	8	no	—
429	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
430	C₂²×C₄×C₅	C₂²×D₃	1	4	yes	—
431	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
432	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
433	C₅×C₄⋊C₄	—	3	1	no	—
434	C₅×C₄⋊C₄	—	3	1	no	—
435	C₅×C₄⋊C₄	—	3	4	no	—
436	C₅×C₄⋊C₄	—	3	2	no	—
437	C₅×C₄⋊C₄	—	3	2	no	—
438	C₅×C₄⋊C₄	—	3	2	no	—
439	C₅×C₄⋊C₄	—	3	1	no	—
440	C₅×C₄⋊C₄	—	3	1	no	—
441	C₅×C₄⋊C₄	—	3	4	no	—
442	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
443	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
444	C₅×C₂²⋊C₄	—	3	4	no	—
445	C₅×C₂²⋊C₄	—	3	2	no	—
446	C₅×C₂²⋊C₄	—	3	4	no	—
447	C₅×C₂²⋊C₄	—	3	2	no	—
448	C₅×C₂²⋊C₄	—	3	4	no	—
449	C₅×C₂²⋊C₄	—	3	2	no	—
450	C₅×C₂²⋊C₄	—	3	2	no	—
451	C₅×C₂²⋊C₄	—	3	2	no	—
452	C₅×C₂²⋊C₄	—	3	2	no	—
453	C₅×C₂²⋊C₄	—	3	2	no	—
454	C₅×C₂²⋊C₄	—	3	4	no	—
455	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
456	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
457	C₄²×C₅	—	3	2	no	—
458	C₄²×C₅	—	3	2	no	—
459	C₄²×C₅	—	3	2	no	—
460	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
461	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
462	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
463	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
464	C₂²×#41	—	3	2	no	—
465	#550	—	3	1	no	—
466	D₄×Q₈	—	3	1	no	—
467	#548	—	3	2	no	—
468	#547	—	3	1	no	—
469	#547	—	3	2	no	—
470	#546	—	3	2	no	—
471	#546	—	3	4	no	—
472	D₄²	—	3	1	no	—
473	D₄²	—	3	2	no	—
474	#532	—	3	2	no	—
475	#532	C₅×D₃	1	1	yes	characteristic, complemented
476	#525	—	3	2	no	—
477	#525	—	3	4	no	—
478	C₄×#41	—	3	1	no	—
479	C₂×C₄×D₄	—	3	2	no	—
480	C₂×C₄×D₄	—	3	1	no	—
481	C₂²×C₃×C₅	—	2	1	no	—
482	C₂²×C₃×C₅	—	2	1	no	—
483	C₂²×C₃×C₅	—	2	4	no	—
484	C₂²×C₃×C₅	—	2	4	no	—
485	C₂²×C₃×C₅	—	2	4	no	—
486	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
487	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
488	C₂×C₅×D₃	—	2	2	no	—
489	C₂×C₅×D₃	—	2	2	no	—
490	C₂×C₅×D₃	—	2	2	no	—
491	C₂×C₅×D₃	—	2	2	no	—
492	C₂×C₅×D₃	—	2	2	no	—
493	C₂×C₅×D₃	—	2	2	no	—
494	C₂×C₅×D₃	—	2	2	no	—
495	C₂×C₅×D₃	—	4	16	no	—
496	C₂×C₅×D₃	—	4	8	no	—
497	C₂×C₅×D₃	C₂²×D₄	1	4	yes	—
498	C₂×C₅×D₃	C₂×#41	1	4	yes	complemented
499	C₃×C₄×C₅	—	2	4	no	—
500	C₃×C₄×C₅	—	2	1	no	—
501	C₃×C₄×C₅	—	2	1	no	—
502	C₃×C₄×C₅	—	2	1	no	—
503	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
504	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
505	C₃×C₄×C₅	C₂×#41	1	2	yes	complemented
506	C₅×Dic₃	—	2	2	no	—
507	C₅×Dic₃	—	2	2	no	—
508	C₅×Dic₃	—	2	2	no	—
509	C₅×Dic₃	—	2	2	no	—
510	C₅×Dic₃	C₂²×D₄	1	4	yes	—
511	C₂³×D₃	C₂³×C₅	1	4	yes	—
512	C₂³×D₃	C₂³×C₅	1	2	yes	—
513	C₃×#41	—	2	8	no	—
514	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
515	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
516	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
517	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
518	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
519	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
520	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
521	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
522	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
523	C₂×#67	C₂³×C₅	1	4	yes	—
524	C₂×#67	C₂³×C₅	1	4	yes	—
525	C₂×#67	C₂³×C₅	1	4	yes	—
526	C₂×#67	C₂³×C₅	1	4	yes	—
527	C₂×#67	C₂³×C₅	1	2	yes	—
528	C₂²×Dic₃	C₂³×C₅	1	4	yes	—
529	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
530	#239	—	2	8	no	—
531	D₃×Q₈	—	2	8	no	—
532	#237	—	2	16	no	—
533	#237	—	2	8	no	—
534	D₃×D₄	—	2	16	no	—
535	D₃×D₄	—	2	8	no	—
536	D₃×D₄	—	2	8	no	—
537	#235	—	2	16	no	—
538	#235	C₅×D₄	1	8	yes	complemented
539	C₂×D₁₂	—	2	4	no	—
540	C₂×D₁₂	C₂³×C₅	1	2	yes	—
541	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
542	C₂×D₁₂	C₂³×C₅	1	4	yes	—
543	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
544	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
545	C₂×C₄×D₃	—	2	8	no	—
546	C₂×C₄×D₃	—	2	16	no	—
547	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
548	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
549	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
550	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
551	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
552	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
553	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
554	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
555	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
556	C₂×Dic₆	C₂³×C₅	1	4	yes	—
557	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
558	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
559	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
560	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
561	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
562	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
563	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
564	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
565	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
566	#217	C₂³×C₅	1	4	yes	—
567	#217	C₂³×C₅	1	4	yes	—
568	#217	C₂³×C₅	1	2	yes	—
569	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
570	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
571	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
572	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
573	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
574	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
575	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
576	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
577	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
578	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
579	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
580	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
581	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
582	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
583	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
584	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
585	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
586	C₄×Dic₃	C₂³×C₅	1	2	yes	—
587	C₄×Dic₃	C₂³×C₅	1	2	yes	—
588	C₄×Dic₃	C₂³×C₅	1	2	yes	—
589	C₂³×C₅	—	3	2	no	—
590	C₂³×C₅	—	3	2	no	—
591	C₂³×C₅	—	3	2	no	—
592	C₂³×C₅	—	6	8	no	—
593	C₂³×C₅	—	6	4	no	—
594	C₂³×C₅	—	6	8	no	—
595	C₂³×C₅	—	6	4	no	—
596	C₂³×C₅	—	12	2	no	—
597	C₂³×C₅	—	12	4	no	—
598	C₂³×C₅	C₂³×D₃	1	4	yes	—
599	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
600	C₅×Q₈	—	2	4	no	—
601	C₅×Q₈	—	3	4	no	—
602	C₅×Q₈	—	6	8	no	—
603	C₅×D₄	—	2	8	no	—
604	C₅×D₄	—	2	4	no	—
605	C₅×D₄	—	2	4	no	—
606	C₅×D₄	—	3	8	no	—
607	C₅×D₄	—	3	4	no	—
608	C₅×D₄	—	3	4	no	—
609	C₅×D₄	—	4	2	no	—
610	C₅×D₄	—	6	4	no	—
611	C₅×D₄	—	6	8	no	—
612	C₅×D₄	—	6	8	no	—
613	C₅×D₄	—	6	8	no	—
614	C₅×D₄	—	6	8	no	—
615	C₅×D₄	—	6	2	no	—
616	C₅×D₄	—	12	4	no	—
617	C₂×C₄×C₅	—	2	8	no	—
618	C₂×C₄×C₅	—	2	2	no	—
619	C₂×C₄×C₅	—	3	2	no	—
620	C₂×C₄×C₅	—	3	8	no	—
621	C₂×C₄×C₅	—	3	2	no	—
622	C₂×C₄×C₅	—	3	2	no	—
623	C₂×C₄×C₅	—	3	2	no	—
624	C₂×C₄×C₅	—	3	2	no	—
625	C₂×C₄×C₅	—	4	1	no	—
626	C₂×C₄×C₅	—	6	8	no	—
627	C₂×C₄×C₅	—	6	8	no	—
628	C₂×C₄×C₅	—	6	8	no	—
629	C₂×C₄×C₅	—	6	4	no	—
630	C₂×C₄×C₅	—	6	4	no	—
631	C₂×C₄×C₅	—	6	4	no	—
632	C₂×C₄×C₅	—	6	4	no	—
633	C₂×C₄×C₅	—	6	4	no	—
634	C₂×C₄×C₅	—	6	4	no	—
635	C₂×C₄×C₅	—	12	2	no	—
636	C₂×C₄×C₅	D₃×D₄	1	4	yes	complemented
637	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
638	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
639	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
640	C₂×C₄×C₅	C₂³×D₃	1	4	yes	—
641	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
642	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
643	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
644	C₂×#41	—	3	2	no	—
645	C₂×#41	—	3	4	no	—
646	C₂×#41	—	3	2	no	—
647	C₂×#41	—	3	1	no	—
648	C₂×#41	—	3	4	no	—
649	C₂×#41	—	6	16	no	—
650	C₂×#41	C₂×C₅×D₃	1	2	yes	complemented
651	C₂²×Q₈	—	3	2	no	—
652	C₂²×D₄	—	3	2	no	—
653	C₂²×D₄	—	3	4	no	—
654	C₂²×D₄	—	3	2	no	—
655	C₂²×D₄	—	3	1	no	—
656	C₂³×C₄	—	3	4	no	—
657	C₂³×C₄	—	3	2	no	—
658	C₄⋊Q₈	—	3	2	no	—
659	C₄⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
660	#127	—	3	2	no	—
661	#127	C₂×C₅×D₃	1	1	yes	characteristic, complemented
662	#124	—	3	4	no	—
663	#124	C₂×C₅×D₃	1	2	yes	complemented
664	#123	—	3	4	no	—
665	#123	—	3	4	no	—
666	#123	—	3	4	no	—
667	C₂²⋊Q₈	—	3	2	no	—
668	C₂²⋊Q₈	—	3	2	no	—
669	C₂²⋊Q₈	—	3	4	no	—
670	C₂²⋊Q₈	—	3	4	no	—
671	#121	—	3	2	no	—
672	#121	—	3	2	no	—
673	#121	—	3	4	no	—
674	#121	—	3	2	no	—
675	#121	—	3	2	no	—
676	#121	—	3	4	no	—
677	#121	—	3	4	no	—
678	#121	C₂×C₅×D₃	1	2	yes	complemented
679	#121	C₂×C₅×D₃	1	2	yes	complemented
680	#120	—	3	4	no	—
681	#120	—	3	4	no	—
682	#120	—	3	4	no	—
683	C₄×Q₈	—	3	1	no	—
684	C₄×Q₈	—	3	1	no	—
685	C₄×D₄	—	3	2	no	—
686	C₄×D₄	—	3	4	no	—
687	C₄×D₄	—	3	2	no	—
688	C₄×D₄	—	3	2	no	—
689	C₄×D₄	—	3	4	no	—
690	C₄×D₄	—	3	2	no	—
691	C₄×D₄	—	3	4	no	—
692	C₄×D₄	—	3	1	no	—
693	C₄×D₄	—	3	2	no	—
694	C₄×D₄	—	3	1	no	—
695	C₄×D₄	—	3	1	no	—
696	C₄×D₄	—	3	2	no	—
697	C₄×D₄	—	3	1	no	—
698	C₄×D₄	—	3	1	no	—
699	C₄×D₄	—	3	1	no	—
700	C₄×D₄	C₂×C₅×D₃	1	2	yes	complemented
701	C₄×D₄	C₂×C₅×D₃	1	2	yes	complemented
702	#117	—	3	1	no	—
703	#117	—	3	2	no	—
704	C₂×C₄⋊C₄	—	3	1	no	—
705	C₂×C₄⋊C₄	—	3	2	no	—
706	C₂×C₂²⋊C₄	—	3	2	no	—
707	C₂×C₂²⋊C₄	—	3	4	no	—
708	C₂×C₄²	—	3	2	no	—
709	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic, complemented
710	C₂×C₃×C₅	—	2	2	no	—
711	C₂×C₃×C₅	—	4	4	no	—
712	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
713	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
714	C₂×C₃×C₅	#585	1	1	yes	characteristic
715	C₅×D₃	—	2	4	no	—
716	C₅×D₃	—	2	4	no	—
717	C₅×D₃	—	4	2	no	—
718	C₂³×C₃	C₂⁴×C₅	1	4	yes	—
719	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
720	C₂²×D₃	—	2	4	no	—
721	C₂²×D₃	—	2	8	no	—
722	C₂²×D₃	—	2	4	no	—
723	C₂²×D₃	—	2	8	no	—
724	C₂²×D₃	—	4	4	no	—
725	C₂²×D₃	—	4	2	no	—
726	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
727	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
728	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
729	C₃×Q₈	—	2	4	no	—
730	C₃×D₄	—	2	8	no	—
731	C₃×D₄	—	2	4	no	—
732	C₃×D₄	—	2	4	no	—
733	C₃×D₄	—	4	2	no	—
734	C₂×C₃×C₄	—	2	8	no	—
735	C₂×C₃×C₄	—	2	2	no	—
736	C₂×C₃×C₄	—	4	1	no	—
737	C₂×C₃×C₄	C₂×C₅×D₄	1	4	yes	complemented
738	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
739	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
740	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
741	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
742	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
743	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
744	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
745	#67	—	2	8	no	—
746	#67	—	2	8	no	—
747	#67	—	2	8	no	—
748	#67	—	4	4	no	—
749	#67	C₂×C₅×D₄	1	8	yes	complemented
750	C₂×Dic₃	—	2	4	no	—
751	C₂×Dic₃	—	2	8	no	—
752	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
753	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
754	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
755	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
756	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
757	D₁₂	—	2	8	no	—
758	D₁₂	—	2	4	no	—
759	D₁₂	—	2	2	no	—
760	D₁₂	C₂×C₅×D₄	1	4	yes	complemented
761	D₁₂	C₅×#41	1	4	yes	complemented
762	C₄×D₃	—	2	8	no	—
763	C₄×D₃	—	2	4	no	—
764	C₄×D₃	—	2	4	no	—
765	C₄×D₃	—	2	4	no	—
766	C₄×D₃	—	2	4	no	—
767	C₄×D₃	—	2	4	no	—
768	C₄×D₃	—	2	8	no	—
769	C₄×D₃	—	4	2	no	—
770	C₄×D₃	C₂×C₅×D₄	1	8	yes	complemented
771	Dic₆	—	2	8	no	—
772	Dic₆	C₂×C₅×D₄	1	4	yes	complemented
773	C₂²×C₅	—	2	1	no	—
774	C₂²×C₅	—	2	1	no	—
775	C₂²×C₅	—	2	4	no	—
776	C₂²×C₅	—	2	4	no	—
777	C₂²×C₅	—	2	4	no	—
778	C₂²×C₅	—	3	4	no	—
779	C₂²×C₅	—	3	4	no	—
780	C₂²×C₅	—	6	2	no	—
781	C₂²×C₅	—	6	2	no	—
782	C₂²×C₅	—	6	2	no	—
783	C₂²×C₅	—	6	2	no	—
784	C₂²×C₅	—	6	2	no	—
785	C₂²×C₅	—	6	2	no	—
786	C₂²×C₅	—	6	2	no	—
787	C₂²×C₅	—	12	8	no	—
788	C₂²×C₅	—	12	16	no	—
789	C₂²×C₅	C₂×D₃×D₄	1	2	yes	—
790	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
791	C₄×C₅	—	2	4	no	—
792	C₄×C₅	—	2	1	no	—
793	C₄×C₅	—	2	1	no	—
794	C₄×C₅	—	2	1	no	—
795	C₄×C₅	—	3	4	no	—
796	C₄×C₅	—	6	2	no	—
797	C₄×C₅	—	6	2	no	—
798	C₄×C₅	—	6	2	no	—
799	C₄×C₅	—	6	2	no	—
800	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
801	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
802	C₄×C₅	D₃×#41	1	2	yes	complemented
803	C₂⁴	—	3	4	no	—
804	C₂⁴	—	3	2	no	—
805	#41	—	2	8	no	—
806	#41	—	3	8	no	—
807	#41	—	6	16	no	—
808	#41	—	6	16	no	—
809	#41	—	6	8	no	—
810	#41	—	6	8	no	—
811	C₂×Q₈	—	3	1	no	—
812	C₂×Q₈	—	3	4	no	—
813	C₂×Q₈	—	6	8	no	—
814	C₂×Q₈	C₂²×C₅×D₃	1	2	yes	—
815	C₂×D₄	—	3	2	no	—
816	C₂×D₄	—	3	4	no	—
817	C₂×D₄	—	3	4	no	—
818	C₂×D₄	—	3	4	no	—
819	C₂×D₄	—	3	4	no	—
820	C₂×D₄	—	3	1	no	—
821	C₂×D₄	—	3	1	no	—
822	C₂×D₄	—	3	2	no	—
823	C₂×D₄	—	3	1	no	—
824	C₂×D₄	—	3	4	no	—
825	C₂×D₄	—	6	4	no	—
826	C₂×D₄	—	6	16	no	—
827	C₂×D₄	—	6	8	no	—
828	C₂×D₄	—	6	8	no	—
829	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
830	C₂×D₄	C₂²×C₅×D₃	1	4	yes	—
831	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
832	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
833	C₂²×C₄	—	3	2	no	—
834	C₂²×C₄	—	3	2	no	—
835	C₂²×C₄	—	3	4	no	—
836	C₂²×C₄	—	3	2	no	—
837	C₂²×C₄	—	3	4	no	—
838	C₂²×C₄	—	3	2	no	—
839	C₂²×C₄	—	3	2	no	—
840	C₂²×C₄	—	3	4	no	—
841	C₂²×C₄	—	3	2	no	—
842	C₂²×C₄	—	3	2	no	—
843	C₂²×C₄	—	3	2	no	—
844	C₂²×C₄	—	6	16	no	—
845	C₂²×C₄	—	6	8	no	—
846	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
847	C₂²×C₄	C₂²×C₅×D₃	1	4	yes	—
848	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
849	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
850	C₄⋊C₄	—	3	1	no	—
851	C₄⋊C₄	—	3	1	no	—
852	C₄⋊C₄	—	3	4	no	—
853	C₄⋊C₄	—	3	2	no	—
854	C₄⋊C₄	—	3	2	no	—
855	C₄⋊C₄	—	3	2	no	—
856	C₄⋊C₄	—	3	1	no	—
857	C₄⋊C₄	—	3	1	no	—
858	C₄⋊C₄	—	3	4	no	—
859	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
860	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
861	C₂²⋊C₄	—	3	4	no	—
862	C₂²⋊C₄	—	3	2	no	—
863	C₂²⋊C₄	—	3	4	no	—
864	C₂²⋊C₄	—	3	2	no	—
865	C₂²⋊C₄	—	3	4	no	—
866	C₂²⋊C₄	—	3	2	no	—
867	C₂²⋊C₄	—	3	2	no	—
868	C₂²⋊C₄	—	3	2	no	—
869	C₂²⋊C₄	—	3	2	no	—
870	C₂²⋊C₄	—	3	2	no	—
871	C₂²⋊C₄	—	3	4	no	—
872	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	—
873	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	—
874	C₄²	—	3	2	no	—
875	C₄²	—	3	2	no	—
876	C₄²	—	3	2	no	—
877	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
878	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
879	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
880	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
881	C₃×C₅	D₄×#41	1	1	yes	characteristic, complemented, Hall
882	C₂²×C₃	—	2	1	no	—
883	C₂²×C₃	—	2	1	no	—
884	C₂²×C₃	—	2	4	no	—
885	C₂²×C₃	—	2	4	no	—
886	C₂²×C₃	—	2	4	no	—
887	C₂²×C₃	C₂²×C₅×D₄	1	2	yes	—
888	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
889	C₂×D₃	—	2	2	no	—
890	C₂×D₃	—	2	2	no	—
891	C₂×D₃	—	2	2	no	—
892	C₂×D₃	—	2	2	no	—
893	C₂×D₃	—	2	2	no	—
894	C₂×D₃	—	2	2	no	—
895	C₂×D₃	—	2	2	no	—
896	C₂×D₃	—	4	16	no	—
897	C₂×D₃	—	4	8	no	—
898	C₂×D₃	C₂²×C₅×D₄	1	4	yes	—
899	C₂×D₃	C₂×C₅×#41	1	4	yes	complemented
900	C₃×C₄	—	2	4	no	—
901	C₃×C₄	—	2	1	no	—
902	C₃×C₄	—	2	1	no	—
903	C₃×C₄	—	2	1	no	—
904	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
905	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
906	C₃×C₄	C₂×C₅×#41	1	2	yes	complemented
907	Dic₃	—	2	2	no	—
908	Dic₃	—	2	2	no	—
909	Dic₃	—	2	2	no	—
910	Dic₃	—	2	2	no	—
911	Dic₃	C₂²×C₅×D₄	1	4	yes	—
912	C₂×C₅	—	2	2	no	—
913	C₂×C₅	—	4	4	no	—
914	C₂×C₅	—	6	4	no	—
915	C₂×C₅	—	6	4	no	—
916	C₂×C₅	—	12	2	no	—
917	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
918	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
919	C₂×C₅	#5964	1	1	yes	characteristic
920	C₂³	—	3	2	no	—
921	C₂³	—	3	2	no	—
922	C₂³	—	3	2	no	—
923	C₂³	—	6	8	no	—
924	C₂³	—	6	4	no	—
925	C₂³	—	6	8	no	—
926	C₂³	—	6	4	no	—
927	C₂³	—	12	2	no	—
928	C₂³	—	12	4	no	—
929	C₂³	C₂³×C₅×D₃	1	4	yes	—
930	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
931	Q₈	—	2	4	no	—
932	Q₈	—	3	4	no	—
933	Q₈	—	6	8	no	—
934	D₄	—	2	8	no	—
935	D₄	—	2	4	no	—
936	D₄	—	2	4	no	—
937	D₄	—	3	8	no	—
938	D₄	—	3	4	no	—
939	D₄	—	3	4	no	—
940	D₄	—	4	2	no	—
941	D₄	—	6	8	no	—
942	D₄	—	6	4	no	—
943	D₄	—	6	8	no	—
944	D₄	—	6	8	no	—
945	D₄	—	6	8	no	—
946	D₄	—	6	2	no	—
947	D₄	—	12	4	no	—
948	C₂×C₄	—	2	8	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	3	2	no	—
951	C₂×C₄	—	3	8	no	—
952	C₂×C₄	—	3	2	no	—
953	C₂×C₄	—	3	2	no	—
954	C₂×C₄	—	3	2	no	—
955	C₂×C₄	—	3	2	no	—
956	C₂×C₄	—	4	1	no	—
957	C₂×C₄	—	6	8	no	—
958	C₂×C₄	—	6	8	no	—
959	C₂×C₄	—	6	8	no	—
960	C₂×C₄	—	6	4	no	—
961	C₂×C₄	—	6	4	no	—
962	C₂×C₄	—	6	4	no	—
963	C₂×C₄	—	6	4	no	—
964	C₂×C₄	—	6	4	no	—
965	C₂×C₄	—	6	4	no	—
966	C₂×C₄	—	12	2	no	—
967	C₂×C₄	C₅×D₃×D₄	1	4	yes	complemented
968	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
969	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
970	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
971	C₂×C₄	C₂³×C₅×D₃	1	4	yes	—
972	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
973	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
974	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
975	C₂×C₃	—	2	2	no	—
976	C₂×C₃	—	4	4	no	—
977	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
978	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
979	C₂×C₃	C₅×#585	1	1	yes	characteristic
980	D₃	—	2	4	no	—
981	D₃	—	2	4	no	—
982	D₃	—	4	2	no	—
983	C₅	#86238	1	1	yes	characteristic, direct product factor, Sylow
984	C₂²	—	2	1	no	—
985	C₂²	—	2	1	no	—
986	C₂²	—	2	4	no	—
987	C₂²	—	2	4	no	—
988	C₂²	—	2	4	no	—
989	C₂²	—	3	4	no	—
990	C₂²	—	3	4	no	—
991	C₂²	—	6	2	no	—
992	C₂²	—	6	2	no	—
993	C₂²	—	6	2	no	—
994	C₂²	—	6	2	no	—
995	C₂²	—	6	2	no	—
996	C₂²	—	6	2	no	—
997	C₂²	—	6	2	no	—
998	C₂²	—	12	8	no	—
999	C₂²	—	12	16	no	—
1000	C₂²	C₂×C₅×D₃×D₄	1	2	yes	—
1001	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1002	C₄	—	2	4	no	—
1003	C₄	—	2	1	no	—
1004	C₄	—	2	1	no	—
1005	C₄	—	2	1	no	—
1006	C₄	—	3	4	no	—
1007	C₄	—	6	2	no	—
1008	C₄	—	6	2	no	—
1009	C₄	—	6	2	no	—
1010	C₄	—	6	2	no	—
1011	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
1012	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
1013	C₄	C₅×D₃×#41	1	2	yes	complemented
1014	C₃	C₅×D₄×#41	1	1	yes	characteristic, complemented, Sylow
1015	C₂	—	2	2	no	—
1016	C₂	—	4	4	no	—
1017	C₂	—	6	4	no	—
1018	C₂	—	6	4	no	—
1019	C₂	—	12	2	no	—
1020	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic
1021	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1022	C₂	C₅×#5964	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#532	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#532	D₃
hypocenter	C₃	C₅×D₄×#41
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₅×#532

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×D₃×#41	C₂	semidirect
2. C₃×C₅×#532	C₂	semidirect
3. C₅×#5828	C₂	semidirect
4. C₅×#5727	C₂	semidirect
5. C₅×#5726	C₂	semidirect
6. C₅×#5718	C₂	semidirect
7. C₅×#5717	C₂	semidirect
8. C₅×#5677	C₂	semidirect
9. C₅×#5676	C₂	semidirect
10. C₅×#5611	C₂	semidirect
11. C₅×#5610	C₂	semidirect
12. C₅×#5609	C₂	semidirect
13. C₅×#5548	C₂	semidirect
14. C₅×#5547	C₂	semidirect
15. C₄×C₅×D₃×D₄	C₂	semidirect
16. C₄×C₅×#235	C₂	semidirect
17. C₂×C₄×C₅×D₁₂	C₂	semidirect
19. C₂×C₃×C₅×#41	C₂²	semidirect
21. C₂×C₅×#239	C₂²	semidirect
22. C₂×C₅×D₃×Q₈	C₂²	semidirect
23. C₂×C₅×#237	C₂²	semidirect
24. C₂×C₅×#237	C₂²	semidirect
26. C₂×C₅×D₃×D₄	C₂²	semidirect
27. C₂×C₅×D₃×D₄	C₂²	semidirect
29. C₂×C₅×#235	C₂²	semidirect
31. C₂²×C₄×C₅×D₃	C₂²	semidirect
32. C₂²×C₄×C₅×D₃	C₂²	semidirect
33. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
34. C₃×C₅×#127	C₂²	semidirect
35. C₃×C₅×#124	C₂²	semidirect
36. C₃×C₅×#121	C₂²	semidirect
37. C₃×C₅×#121	C₂²	semidirect
38. C₃×C₄×C₅×D₄	C₂²	semidirect
39. C₃×C₄×C₅×D₄	C₂²	semidirect
40. C₂×C₃×C₄²×C₅	C₂²	semidirect
41. C₅×#946	C₂²	semidirect
42. C₅×#946	C₂²	semidirect
43. C₅×#940	C₂²	semidirect
44. C₅×#939	C₂²	semidirect
45. C₅×#938	C₂²	semidirect
46. C₅×#938	C₂²	semidirect
47. C₅×#938	C₂²	semidirect
48. C₅×#937	C₂²	semidirect
49. C₅×#937	C₂²	semidirect
50. C₅×#935	C₂²	semidirect
51. C₅×D₄×Dic₃	C₂²	semidirect
52. C₄×C₅×#67	C₂²	semidirect
53. C₄×C₅×#67	C₂²	semidirect
54. C₄×C₅×#67	C₂²	semidirect
55. C₄×C₅×#67	C₂²	semidirect
56. C₂×C₅×(C₂×D₃)⋊C₄	C₂²	semidirect
57. C₅×#926	C₂²	semidirect
58. C₂×C₅×C₄⋊Dic₃	C₂²	semidirect
59. C₅×#896	C₂²	semidirect
60. C₅×#895	C₂²	semidirect
61. C₅×#894	C₂²	semidirect
63. C₅×D₃×C₄⋊C₄	C₂²	semidirect
64. C₅×#888	C₂²	semidirect
65. C₅×#885	C₂²	semidirect
66. C₅×#884	C₂²	semidirect
67. C₅×#884	C₂²	semidirect
68. C₅×#883	C₂²	semidirect
69. C₅×#882	C₂²	semidirect
70. C₅×#67⋊C₄	C₂²	semidirect
71. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
72. C₅×#878	C₂²	semidirect
75. C₄×C₅×D₁₂	C₂²	semidirect
76. C₄×C₅×D₁₂	C₂²	semidirect
77. C₄×C₅×D₁₂	C₂²	semidirect
78. C₄×C₅×D₁₂	C₂²	semidirect
79. C₄×C₅×D₁₂	C₂²	semidirect
80. C₄×C₅×D₁₂	C₂²	semidirect
81. C₅×#872	C₂²	semidirect
82. C₄²×C₅×D₃	C₂²	semidirect
83. C₄×C₅×Dic₆	C₂²	semidirect
84. C₄×C₅×Dic₆	C₂²	semidirect
85. #86238	C₅	direct (N × H)
97. C₅×#532	D₃	semidirect
130. C₅×#235	D₄	semidirect
181. C₂×D₃×#41	C₂×C₅	semidirect
182. C₃×#532	C₂×C₅	semidirect
183. #5828	C₂×C₅	semidirect
184. #5727	C₂×C₅	semidirect
185. #5726	C₂×C₅	semidirect
186. #5718	C₂×C₅	semidirect
187. #5717	C₂×C₅	semidirect
188. #5677	C₂×C₅	semidirect
189. #5676	C₂×C₅	semidirect
190. #5611	C₂×C₅	semidirect
191. #5610	C₂×C₅	semidirect
192. #5609	C₂×C₅	semidirect
193. #5548	C₂×C₅	semidirect
194. #5547	C₂×C₅	semidirect
195. C₄×D₃×D₄	C₂×C₅	semidirect
196. C₄×#235	C₂×C₅	semidirect
197. C₂×C₄×D₁₂	C₂×C₅	semidirect
204. C₂×C₅×#41	C₂×D₃	semidirect
213. C₅×C₄⋊Q₈	C₂×D₃	semidirect
215. C₅×#127	C₂×D₃	semidirect
217. C₅×#124	C₂×D₃	semidirect
232. C₅×#121	C₂×D₃	semidirect
233. C₅×#121	C₂×D₃	semidirect
254. C₄×C₅×D₄	C₂×D₃	semidirect
255. C₄×C₅×D₄	C₂×D₃	semidirect
263. C₂×C₄²×C₅	C₂×D₃	semidirect
284. C₂×C₃×C₄×C₅	C₂×D₄	semidirect
296. C₅×#67	C₂×D₄	semidirect
307. C₅×D₁₂	C₂×D₄	semidirect
308. C₅×D₁₂	#41	semidirect
317. C₄×C₅×D₃	C₂×D₄	semidirect
319. C₅×Dic₆	C₂×D₄	semidirect
320. C₂×C₃×#41	C₂²×C₅	semidirect
322. C₂×#239	C₂²×C₅	semidirect
323. C₂×D₃×Q₈	C₂²×C₅	semidirect
324. C₂×#237	C₂²×C₅	semidirect
325. C₂×#237	C₂²×C₅	semidirect
327. C₂×D₃×D₄	C₂²×C₅	semidirect
328. C₂×D₃×D₄	C₂²×C₅	semidirect
330. C₂×#235	C₂²×C₅	semidirect
332. C₂²×C₄×D₃	C₂²×C₅	semidirect
333. C₂²×C₄×D₃	C₂²×C₅	semidirect
334. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
335. C₃×#127	C₂²×C₅	semidirect
336. C₃×#124	C₂²×C₅	semidirect
337. C₃×#121	C₂²×C₅	semidirect
338. C₃×#121	C₂²×C₅	semidirect
339. C₃×C₄×D₄	C₂²×C₅	semidirect
340. C₃×C₄×D₄	C₂²×C₅	semidirect
341. C₂×C₃×C₄²	C₂²×C₅	semidirect
342. #946	C₂²×C₅	semidirect
343. #946	C₂²×C₅	semidirect
344. #940	C₂²×C₅	semidirect
345. #939	C₂²×C₅	semidirect
346. #938	C₂²×C₅	semidirect
347. #938	C₂²×C₅	semidirect
348. #938	C₂²×C₅	semidirect
349. #937	C₂²×C₅	semidirect
350. #937	C₂²×C₅	semidirect
351. #935	C₂²×C₅	semidirect
352. D₄×Dic₃	C₂²×C₅	semidirect
353. C₄×#67	C₂²×C₅	semidirect
354. C₄×#67	C₂²×C₅	semidirect
355. C₄×#67	C₂²×C₅	semidirect
356. C₄×#67	C₂²×C₅	semidirect
357. C₂×(C₂×D₃)⋊C₄	C₂²×C₅	semidirect
358. #926	C₂²×C₅	semidirect
359. C₂×C₄⋊Dic₃	C₂²×C₅	semidirect
360. #896	C₂²×C₅	semidirect
361. #895	C₂²×C₅	semidirect
362. #894	C₂²×C₅	semidirect
364. D₃×C₄⋊C₄	C₂²×C₅	semidirect
365. #888	C₂²×C₅	semidirect
366. #885	C₂²×C₅	semidirect
367. #884	C₂²×C₅	semidirect
368. #884	C₂²×C₅	semidirect
369. #883	C₂²×C₅	semidirect
370. #882	C₂²×C₅	semidirect
371. #67⋊C₄	C₂²×C₅	semidirect
372. D₃×C₂²⋊C₄	C₂²×C₅	semidirect
373. #878	C₂²×C₅	semidirect
376. C₄×D₁₂	C₂²×C₅	semidirect
377. C₄×D₁₂	C₂²×C₅	semidirect
378. C₄×D₁₂	C₂²×C₅	semidirect
379. C₄×D₁₂	C₂²×C₅	semidirect
380. C₄×D₁₂	C₂²×C₅	semidirect
381. C₄×D₁₂	C₂²×C₅	semidirect
382. #872	C₂²×C₅	semidirect
383. C₄²×D₃	C₂²×C₅	semidirect
384. C₄×Dic₆	C₂²×C₅	semidirect
385. C₄×Dic₆	C₂²×C₅	semidirect
475. #532	C₅×D₃	semidirect
498. C₂×C₅×D₃	C₂×#41	semidirect
505. C₃×C₄×C₅	C₂×#41	semidirect
538. #235	C₅×D₄	semidirect
636. C₂×C₄×C₅	D₃×D₄	semidirect
650. C₂×#41	C₂×C₅×D₃	semidirect
659. C₄⋊Q₈	C₂×C₅×D₃	semidirect
661. #127	C₂×C₅×D₃	semidirect
663. #124	C₂×C₅×D₃	semidirect
678. #121	C₂×C₅×D₃	semidirect
679. #121	C₂×C₅×D₃	semidirect
700. C₄×D₄	C₂×C₅×D₃	semidirect
701. C₄×D₄	C₂×C₅×D₃	semidirect
709. C₂×C₄²	C₂×C₅×D₃	semidirect
737. C₂×C₃×C₄	C₂×C₅×D₄	semidirect
749. #67	C₂×C₅×D₄	semidirect
760. D₁₂	C₂×C₅×D₄	semidirect
761. D₁₂	C₅×#41	semidirect
770. C₄×D₃	C₂×C₅×D₄	semidirect
772. Dic₆	C₂×C₅×D₄	semidirect
802. C₄×C₅	D₃×#41	semidirect
881. C₃×C₅	D₄×#41	semidirect
899. C₂×D₃	C₂×C₅×#41	semidirect
906. C₃×C₄	C₂×C₅×#41	semidirect
967. C₂×C₄	C₅×D₃×D₄	semidirect
983. C₅	#86238	direct (N × H)
1013. C₄	C₅×D₃×#41	semidirect
1014. C₃	C₅×D₄×#41	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
C₃×C₅×#532	2
C₅×#5828	2
C₅×#5727	2
C₅×#5726	2
C₅×#5718	2
C₅×#5717	2
C₅×#5677	2
C₅×#5676	2
C₅×#5611	2
C₅×#5610	2
C₅×#5609	2
C₅×#5548	2
C₅×#5547	2
C₄×C₅×D₃×D₄	2
C₄×C₅×#235	2
C₂×C₄×C₅×D₁₂	2
C₅×D₄×#41	3
#86238	5

Subgroups — C5×#86238 #14483042

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#86238 #14483042