Subgroups — C₅×#86235 #14480632

Order 1920.

3112 conjugacy classes of subgroups.

The subgroup lattice has 700 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×#5832	C₂	1	2	yes	maximal, complemented
4	C₅×#5724	C₂	1	2	yes	maximal, complemented
5	C₅×#5715	C₂	1	2	yes	maximal, complemented
6	C₅×#5675	C₂	1	2	yes	maximal, complemented
7	C₅×#5674	C₂	1	2	yes	maximal, complemented
8	C₅×#5605	C₂	1	4	yes	maximal, complemented
9	C₅×#5597	C₂	1	4	yes	maximal, complemented
10	C₅×#5547	C₂	1	8	yes	maximal, complemented
11	C₅×#5477	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₅×#872	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#3449	—	3	1	no	maximal, Hall
14	C₂×C₃×C₅×#41	C₂²	1	2	yes	complemented
15	C₅×D₃×#41	—	2	16	no	—
16	C₂×C₅×#239	C₂²	1	2	yes	—
17	C₂×C₅×D₃×Q₈	C₂²	1	2	yes	complemented
18	C₂×C₅×#237	C₂²	1	2	yes	—
19	C₂×C₅×#237	C₂²	1	4	yes	complemented
20	C₂×C₅×D₃×D₄	C₂²	1	4	yes	—
21	C₂×C₅×D₃×D₄	C₂²	1	2	yes	complemented
22	C₂×C₅×#235	C₂²	1	4	yes	—
23	C₂×C₅×#235	C₂²	1	2	yes	complemented
24	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
25	C₂²×C₄×C₅×D₃	C₂²	1	4	yes	complemented
26	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
27	C₃×C₅×#127	C₂²	1	1	yes	characteristic, complemented
28	C₃×C₅×#124	C₂²	1	2	yes	complemented
29	C₃×C₅×#121	C₂²	1	4	yes	complemented
30	C₃×C₄×C₅×D₄	C₂²	1	4	yes	complemented
31	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
32	C₅×#947	C₂²	1	2	yes	complemented
33	C₅×#944	C₂²	1	2	yes	complemented
34	C₅×#940	C₂²	1	2	yes	complemented
35	C₅×#939	C₂²	1	8	yes	complemented
36	C₅×#939	C₂²	1	8	yes	complemented
37	C₅×#937	C₂²	1	8	yes	complemented
38	C₅×#936	C₂²	1	2	yes	complemented
39	C₅×#930	C₂²	1	4	yes	complemented
40	C₄×C₅×#67	C₂²	1	8	yes	complemented
41	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
42	C₂×C₅×Dic₃⋊C₄	C₂²	1	2	yes	complemented
43	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
44	C₅×#896	C₂²	1	8	yes	complemented
45	C₅×#894	C₂²	1	8	yes	complemented
46	C₅×#884	C₂²	1	8	yes	complemented
47	C₅×#883	C₂²	1	8	yes	complemented
48	C₅×#882	C₂²	1	8	yes	complemented
49	C₅×#878	C₂²	1	8	yes	complemented
50	C₅×#875	C₂²	1	2	yes	complemented
51	C₅×#874	C₂²	1	1	yes	characteristic, complemented
52	C₄×C₅×D₁₂	C₂²	1	4	yes	complemented
53	C₅×#872	C₂²	1	2	yes	complemented
54	C₅×#872	C₂²	1	2	yes	complemented
55	C₅×#872	C₂²	1	4	yes	complemented
56	C₅×#869	C₂²	1	1	yes	characteristic, complemented
57	#86235	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
58	C₂²×C₅×#41	—	3	2	no	—
59	C₅×#537	—	3	4	no	—
60	C₅×#536	—	3	2	no	—
61	C₅×#536	—	3	2	no	—
62	C₅×#535	—	3	2	no	—
63	C₅×#535	—	3	2	no	—
64	C₅×#534	—	3	4	no	—
65	C₅×#532	—	3	2	no	—
66	C₅×#532	—	3	1	no	—
67	C₅×#532	D₃	1	1	yes	characteristic, complemented
68	C₅×#525	—	3	8	no	—
69	C₂×C₅×#117	—	3	1	no	—
70	C₂³×C₅×D₃	C₂³	1	4	yes	—
71	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
72	C₃×C₅×#41	—	2	8	no	—
73	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
74	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
75	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
76	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
77	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
78	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
79	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
80	C₂×C₅×#67	C₂³	1	4	yes	—
81	C₂×C₅×#67	C₂³	1	4	yes	—
82	C₂×C₅×#67	C₂³	1	4	yes	—
83	C₂×C₅×#67	C₂³	1	8	yes	—
84	C₂²×C₅×Dic₃	C₂³	1	4	yes	—
85	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
86	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
87	C₅×#239	—	2	8	no	—
88	C₅×D₃×Q₈	—	2	8	no	—
89	C₅×#237	—	2	16	no	—
90	C₅×#237	—	2	8	no	—
91	C₅×D₃×D₄	—	2	16	no	—
92	C₅×D₃×D₄	—	2	8	no	—
93	C₅×#235	—	2	8	no	—
94	C₅×#235	—	2	16	no	—
95	C₂×C₅×D₁₂	C₂³	1	2	yes	—
96	C₂×C₅×D₁₂	C₂³	1	4	yes	—
97	C₂×C₅×D₁₂	C₂³	1	4	yes	—
98	C₂×C₄×C₅×D₃	—	2	16	no	—
99	C₂×C₄×C₅×D₃	D₄	1	8	yes	complemented
100	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
101	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
102	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
103	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
104	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
105	C₂×C₅×Dic₆	C₂³	1	2	yes	—
106	C₂×C₅×Dic₆	C₂³	1	4	yes	—
107	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
108	C₃×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
109	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
110	C₃×C₄²×C₅	C₂³	1	2	yes	—
111	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
112	C₅×#217	C₂³	1	8	yes	—
113	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
114	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
115	C₅×(C₂×D₃)⋊C₄	C₂³	1	8	yes	—
116	C₅×(C₂×D₃)⋊C₄	C₂³	1	8	yes	—
117	C₅×C₄⋊Dic₃	C₂³	1	4	yes	—
118	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
119	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
120	C₅×Dic₃⋊C₄	C₂³	1	8	yes	—
121	C₄×C₅×Dic₃	C₂³	1	2	yes	—
122	C₄×C₅×Dic₃	C₂³	1	2	yes	—
123	C₂×D₃×#41	C₂×C₅	1	2	yes	complemented
124	C₃×#532	C₂×C₅	1	1	yes	characteristic, complemented
125	#5832	C₂×C₅	1	2	yes	complemented
126	#5724	C₂×C₅	1	2	yes	complemented
127	#5715	C₂×C₅	1	2	yes	complemented
128	#5675	C₂×C₅	1	2	yes	complemented
129	#5674	C₂×C₅	1	2	yes	complemented
130	#5605	C₂×C₅	1	4	yes	complemented
131	#5597	C₂×C₅	1	4	yes	complemented
132	#5547	C₂×C₅	1	8	yes	complemented
133	#5477	C₂×C₅	1	1	yes	characteristic, complemented
134	C₂×#872	C₂×C₅	1	1	yes	characteristic, complemented
135	C₂×C₅×#41	—	3	2	no	—
136	C₂×C₅×#41	—	3	2	no	—
137	C₂×C₅×#41	—	3	4	no	—
138	C₂×C₅×#41	—	3	4	no	—
139	C₂×C₅×#41	—	3	2	no	—
140	C₂×C₅×#41	—	6	16	no	—
141	C₂×C₅×#41	C₂×D₃	1	2	yes	complemented
142	C₂²×C₅×Q₈	—	3	2	no	—
143	C₂²×C₅×D₄	—	3	4	no	—
144	C₂²×C₅×D₄	—	3	2	no	—
145	C₂³×C₄×C₅	—	3	1	no	—
146	C₂³×C₄×C₅	—	3	4	no	—
147	C₅×C₄⋊Q₈	—	3	2	no	—
148	C₅×C₄⋊Q₈	—	3	1	no	—
149	C₅×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
150	C₅×#127	—	3	2	no	—
151	C₅×#127	—	3	1	no	—
152	C₅×#127	C₂×D₃	1	1	yes	characteristic, complemented
153	C₅×#124	—	3	2	no	—
154	C₅×#124	—	3	2	no	—
155	C₅×#124	—	3	2	no	—
156	C₅×#124	C₂×D₃	1	2	yes	complemented
157	C₅×#123	—	3	8	no	—
158	C₅×#123	—	3	8	no	—
159	C₅×C₂²⋊Q₈	—	3	8	no	—
160	C₅×C₂²⋊Q₈	—	3	8	no	—
161	C₅×#121	—	3	8	no	—
162	C₅×#121	—	3	8	no	—
163	C₅×#121	—	3	4	no	—
164	C₅×#121	—	3	8	no	—
165	C₅×#121	C₂×D₃	1	4	yes	complemented
166	C₅×#120	—	3	8	no	—
167	C₅×#120	—	3	8	no	—
168	C₄×C₅×D₄	—	3	8	no	—
169	C₄×C₅×D₄	—	3	4	no	—
170	C₄×C₅×D₄	C₂×D₃	1	4	yes	complemented
171	C₅×#117	—	3	4	no	—
172	C₅×#117	—	3	2	no	—
173	C₅×#117	—	3	2	no	—
174	C₂×C₅×C₄⋊C₄	—	3	2	no	—
175	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
176	C₂×C₄²×C₅	—	3	1	no	—
177	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic, complemented
178	#3449	—	3	1	no	Sylow
179	C₂³×C₃×C₅	C₂⁴	1	4	yes	—
180	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
181	C₂²×C₅×D₃	—	2	8	no	—
182	C₂²×C₅×D₃	—	4	2	no	—
183	C₂²×C₅×D₃	—	4	8	no	—
184	C₂²×C₅×D₃	C₂×D₄	1	4	yes	—
185	C₂²×C₅×D₃	C₂⁴	1	4	yes	—
186	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
187	C₃×C₅×Q₈	—	2	4	no	—
188	C₃×C₅×D₄	—	2	8	no	—
189	C₃×C₅×D₄	—	2	4	no	—
190	C₃×C₅×D₄	—	4	4	no	—
191	C₂×C₃×C₄×C₅	—	2	8	no	—
192	C₂×C₃×C₄×C₅	—	4	2	no	—
193	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	—
194	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
195	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
196	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
197	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
198	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
199	C₅×#67	—	2	8	no	—
200	C₅×#67	—	2	8	no	—
201	C₅×#67	—	2	8	no	—
202	C₅×#67	—	4	8	no	—
203	C₂×C₅×Dic₃	—	2	8	no	—
204	C₂×C₅×Dic₃	—	4	2	no	—
205	C₂×C₅×Dic₃	C₂×D₄	1	4	yes	—
206	C₂×C₅×Dic₃	C₂⁴	1	4	yes	—
207	C₂×C₅×Dic₃	C₂⁴	1	4	yes	—
208	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
209	C₅×D₁₂	—	2	8	no	—
210	C₅×D₁₂	—	2	4	no	—
211	C₅×D₁₂	—	4	4	no	—
212	C₄×C₅×D₃	—	2	8	no	—
213	C₄×C₅×D₃	—	2	8	no	—
214	C₄×C₅×D₃	—	2	8	no	—
215	C₄×C₅×D₃	C₂×D₄	1	8	yes	—
216	C₄×C₅×D₃	C₂×D₄	1	8	yes	—
217	C₅×Dic₆	—	2	4	no	—
218	C₅×Dic₆	—	2	8	no	—
219	C₂×C₃×#41	C₂²×C₅	1	2	yes	complemented
220	D₃×#41	—	2	16	no	—
221	C₂×#239	C₂²×C₅	1	2	yes	—
222	C₂×D₃×Q₈	C₂²×C₅	1	2	yes	complemented
223	C₂×#237	C₂²×C₅	1	2	yes	—
224	C₂×#237	C₂²×C₅	1	4	yes	complemented
225	C₂×D₃×D₄	C₂²×C₅	1	4	yes	—
226	C₂×D₃×D₄	C₂²×C₅	1	2	yes	complemented
227	C₂×#235	C₂²×C₅	1	4	yes	—
228	C₂×#235	C₂²×C₅	1	2	yes	complemented
229	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
230	C₂²×C₄×D₃	C₂²×C₅	1	4	yes	complemented
231	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
232	C₃×#127	C₂²×C₅	1	1	yes	characteristic, complemented
233	C₃×#124	C₂²×C₅	1	2	yes	complemented
234	C₃×#121	C₂²×C₅	1	4	yes	complemented
235	C₃×C₄×D₄	C₂²×C₅	1	4	yes	complemented
236	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
237	#947	C₂²×C₅	1	2	yes	complemented
238	#944	C₂²×C₅	1	2	yes	complemented
239	#940	C₂²×C₅	1	2	yes	complemented
240	#939	C₂²×C₅	1	8	yes	complemented
241	#939	C₂²×C₅	1	8	yes	complemented
242	#937	C₂²×C₅	1	8	yes	complemented
243	#936	C₂²×C₅	1	2	yes	complemented
244	#930	C₂²×C₅	1	4	yes	complemented
245	C₄×#67	C₂²×C₅	1	8	yes	complemented
246	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	2	yes	—
247	C₂×Dic₃⋊C₄	C₂²×C₅	1	2	yes	complemented
248	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
249	#896	C₂²×C₅	1	8	yes	complemented
250	#894	C₂²×C₅	1	8	yes	complemented
251	#884	C₂²×C₅	1	8	yes	complemented
252	#883	C₂²×C₅	1	8	yes	complemented
253	#882	C₂²×C₅	1	8	yes	complemented
254	#878	C₂²×C₅	1	8	yes	complemented
255	#875	C₂²×C₅	1	2	yes	complemented
256	#874	C₂²×C₅	1	1	yes	characteristic, complemented
257	C₄×D₁₂	C₂²×C₅	1	4	yes	complemented
258	#872	C₂²×C₅	1	2	yes	complemented
259	#872	C₂²×C₅	1	2	yes	complemented
260	#872	C₂²×C₅	1	4	yes	complemented
261	#869	C₂²×C₅	1	1	yes	characteristic, complemented
262	C₂⁴×C₅	—	3	1	no	—
263	C₂⁴×C₅	—	3	4	no	—
264	C₅×#41	—	2	8	no	—
265	C₅×#41	—	6	16	no	—
266	C₅×#41	—	6	16	no	—
267	C₅×#41	—	6	8	no	—
268	C₅×#41	—	6	8	no	—
269	C₅×#41	—	6	8	no	—
270	C₂×C₅×Q₈	—	3	4	no	—
271	C₂×C₅×Q₈	—	3	2	no	—
272	C₂×C₅×Q₈	—	6	8	no	—
273	C₂×C₅×Q₈	C₂²×D₃	1	2	yes	—
274	C₂×C₅×D₄	—	3	4	no	—
275	C₂×C₅×D₄	—	3	4	no	—
276	C₂×C₅×D₄	—	3	4	no	—
277	C₂×C₅×D₄	—	3	8	no	—
278	C₂×C₅×D₄	—	3	4	no	—
279	C₂×C₅×D₄	—	3	2	no	—
280	C₂×C₅×D₄	—	3	4	no	—
281	C₂×C₅×D₄	—	6	8	no	—
282	C₂×C₅×D₄	—	6	16	no	—
283	C₂×C₅×D₄	C₂²×D₃	1	4	yes	—
284	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
285	C₂×C₅×D₄	C₂²×D₃	1	4	yes	—
286	C₂²×C₄×C₅	—	3	1	no	—
287	C₂²×C₄×C₅	—	3	8	no	—
288	C₂²×C₄×C₅	—	3	2	no	—
289	C₂²×C₄×C₅	—	3	2	no	—
290	C₂²×C₄×C₅	—	3	4	no	—
291	C₂²×C₄×C₅	—	3	2	no	—
292	C₂²×C₄×C₅	—	3	4	no	—
293	C₂²×C₄×C₅	—	3	4	no	—
294	C₂²×C₄×C₅	—	3	4	no	—
295	C₂²×C₄×C₅	—	6	16	no	—
296	C₂²×C₄×C₅	C₂²×D₃	1	4	yes	—
297	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
298	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
299	C₅×C₄⋊C₄	—	3	4	no	—
300	C₅×C₄⋊C₄	—	3	4	no	—
301	C₅×C₄⋊C₄	—	3	8	no	—
302	C₅×C₄⋊C₄	—	3	4	no	—
303	C₅×C₄⋊C₄	C₂²×D₃	1	4	yes	—
304	C₅×C₂²⋊C₄	—	3	8	no	—
305	C₅×C₂²⋊C₄	—	3	4	no	—
306	C₅×C₂²⋊C₄	—	3	4	no	—
307	C₅×C₂²⋊C₄	—	3	8	no	—
308	C₅×C₂²⋊C₄	—	3	8	no	—
309	C₅×C₂²⋊C₄	C₂²×D₃	1	8	yes	—
310	C₄²×C₅	—	3	2	no	—
311	C₄²×C₅	—	3	2	no	—
312	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
313	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
314	C₄²×C₅	C₂²×D₃	1	2	yes	—
315	C₂²×#41	—	3	2	no	—
316	#537	—	3	4	no	—
317	#536	—	3	2	no	—
318	#536	—	3	2	no	—
319	#535	—	3	2	no	—
320	#535	—	3	2	no	—
321	#534	—	3	4	no	—
322	#532	—	3	2	no	—
323	#532	—	3	1	no	—
324	#532	C₅×D₃	1	1	yes	characteristic, complemented
325	#525	—	3	8	no	—
326	C₂×#117	—	3	1	no	—
327	C₂²×C₃×C₅	—	2	2	no	—
328	C₂²×C₃×C₅	—	2	4	no	—
329	C₂²×C₃×C₅	—	2	8	no	—
330	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
331	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
332	C₂×C₅×D₃	—	2	4	no	—
333	C₂×C₅×D₃	—	2	4	no	—
334	C₂×C₅×D₃	—	2	8	no	—
335	C₂×C₅×D₃	—	4	4	no	—
336	C₂×C₅×D₃	—	4	16	no	—
337	C₂×C₅×D₃	C₂²×D₄	1	4	yes	—
338	C₃×C₄×C₅	—	2	4	no	—
339	C₃×C₄×C₅	—	2	2	no	—
340	C₃×C₄×C₅	—	2	2	no	—
341	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
342	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
343	C₅×Dic₃	—	2	4	no	—
344	C₅×Dic₃	—	2	4	no	—
345	C₅×Dic₃	C₂²×D₄	1	4	yes	—
346	C₂³×D₃	C₂³×C₅	1	4	yes	—
347	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
348	C₃×#41	—	2	8	no	—
349	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
350	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
351	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
352	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
353	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
354	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
355	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
356	C₂×#67	C₂³×C₅	1	4	yes	—
357	C₂×#67	C₂³×C₅	1	4	yes	—
358	C₂×#67	C₂³×C₅	1	4	yes	—
359	C₂×#67	C₂³×C₅	1	8	yes	—
360	C₂²×Dic₃	C₂³×C₅	1	4	yes	—
361	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
362	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
363	#239	—	2	8	no	—
364	D₃×Q₈	—	2	8	no	—
365	#237	—	2	16	no	—
366	#237	—	2	8	no	—
367	D₃×D₄	—	2	16	no	—
368	D₃×D₄	—	2	8	no	—
369	#235	—	2	8	no	—
370	#235	—	2	16	no	—
371	C₂×D₁₂	C₂³×C₅	1	2	yes	—
372	C₂×D₁₂	C₂³×C₅	1	4	yes	—
373	C₂×D₁₂	C₂³×C₅	1	4	yes	—
374	C₂×C₄×D₃	—	2	16	no	—
375	C₂×C₄×D₃	C₅×D₄	1	8	yes	complemented
376	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
377	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
378	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
379	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
380	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
381	C₂×Dic₆	C₂³×C₅	1	2	yes	—
382	C₂×Dic₆	C₂³×C₅	1	4	yes	—
383	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
384	C₃×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
385	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
386	C₃×C₄²	C₂³×C₅	1	2	yes	—
387	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
388	#217	C₂³×C₅	1	8	yes	—
389	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
390	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
391	(C₂×D₃)⋊C₄	C₂³×C₅	1	8	yes	—
392	(C₂×D₃)⋊C₄	C₂³×C₅	1	8	yes	—
393	C₄⋊Dic₃	C₂³×C₅	1	4	yes	—
394	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
395	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
396	Dic₃⋊C₄	C₂³×C₅	1	8	yes	—
397	C₄×Dic₃	C₂³×C₅	1	2	yes	—
398	C₄×Dic₃	C₂³×C₅	1	2	yes	—
399	C₂³×C₅	—	3	2	no	—
400	C₂³×C₅	—	3	4	no	—
401	C₂³×C₅	—	3	4	no	—
402	C₂³×C₅	—	6	8	no	—
403	C₂³×C₅	—	12	2	no	—
404	C₂³×C₅	—	12	8	no	—
405	C₂³×C₅	C₂³×D₃	1	4	yes	—
406	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
407	C₅×Q₈	—	2	4	no	—
408	C₅×Q₈	—	6	8	no	—
409	C₅×Q₈	—	6	4	no	—
410	C₅×D₄	—	2	8	no	—
411	C₅×D₄	—	2	4	no	—
412	C₅×D₄	—	4	4	no	—
413	C₅×D₄	—	6	8	no	—
414	C₅×D₄	—	6	8	no	—
415	C₅×D₄	—	6	8	no	—
416	C₅×D₄	—	6	8	no	—
417	C₅×D₄	—	6	4	no	—
418	C₅×D₄	—	12	4	no	—
419	C₅×D₄	—	12	8	no	—
420	C₂×C₄×C₅	—	2	8	no	—
421	C₂×C₄×C₅	—	3	4	no	—
422	C₂×C₄×C₅	—	3	2	no	—
423	C₂×C₄×C₅	—	3	8	no	—
424	C₂×C₄×C₅	—	3	8	no	—
425	C₂×C₄×C₅	—	3	4	no	—
426	C₂×C₄×C₅	—	3	4	no	—
427	C₂×C₄×C₅	—	4	2	no	—
428	C₂×C₄×C₅	—	6	8	no	—
429	C₂×C₄×C₅	—	6	8	no	—
430	C₂×C₄×C₅	—	6	8	no	—
431	C₂×C₄×C₅	—	6	8	no	—
432	C₂×C₄×C₅	—	12	2	no	—
433	C₂×C₄×C₅	D₃×D₄	1	4	yes	—
434	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
435	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
436	C₂×C₄×C₅	C₂³×D₃	1	4	yes	—
437	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
438	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
439	C₂×#41	—	3	2	no	—
440	C₂×#41	—	3	2	no	—
441	C₂×#41	—	3	4	no	—
442	C₂×#41	—	3	4	no	—
443	C₂×#41	—	3	2	no	—
444	C₂×#41	—	6	16	no	—
445	C₂×#41	C₂×C₅×D₃	1	2	yes	complemented
446	C₂²×Q₈	—	3	2	no	—
447	C₂²×D₄	—	3	4	no	—
448	C₂²×D₄	—	3	2	no	—
449	C₂³×C₄	—	3	1	no	—
450	C₂³×C₄	—	3	4	no	—
451	C₄⋊Q₈	—	3	2	no	—
452	C₄⋊Q₈	—	3	1	no	—
453	C₄⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
454	#127	—	3	2	no	—
455	#127	—	3	1	no	—
456	#127	C₂×C₅×D₃	1	1	yes	characteristic, complemented
457	#124	—	3	2	no	—
458	#124	—	3	2	no	—
459	#124	—	3	2	no	—
460	#124	C₂×C₅×D₃	1	2	yes	complemented
461	#123	—	3	8	no	—
462	#123	—	3	8	no	—
463	C₂²⋊Q₈	—	3	8	no	—
464	C₂²⋊Q₈	—	3	8	no	—
465	#121	—	3	8	no	—
466	#121	—	3	8	no	—
467	#121	—	3	4	no	—
468	#121	—	3	8	no	—
469	#121	C₂×C₅×D₃	1	4	yes	complemented
470	#120	—	3	8	no	—
471	#120	—	3	8	no	—
472	C₄×D₄	—	3	8	no	—
473	C₄×D₄	—	3	4	no	—
474	C₄×D₄	C₂×C₅×D₃	1	4	yes	complemented
475	#117	—	3	4	no	—
476	#117	—	3	2	no	—
477	#117	—	3	2	no	—
478	C₂×C₄⋊C₄	—	3	2	no	—
479	C₂×C₂²⋊C₄	—	3	2	no	—
480	C₂×C₄²	—	3	1	no	—
481	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic, complemented
482	C₂×C₃×C₅	—	2	2	no	—
483	C₂×C₃×C₅	—	4	4	no	—
484	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
485	C₂×C₃×C₅	#585	1	2	yes	—
486	C₅×D₃	—	2	4	no	—
487	C₅×D₃	—	4	4	no	—
488	C₂³×C₃	C₂⁴×C₅	1	4	yes	—
489	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
490	C₂²×D₃	—	2	8	no	—
491	C₂²×D₃	—	4	2	no	—
492	C₂²×D₃	—	4	8	no	—
493	C₂²×D₃	C₂×C₅×D₄	1	4	yes	—
494	C₂²×D₃	C₂⁴×C₅	1	4	yes	—
495	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
496	C₃×Q₈	—	2	4	no	—
497	C₃×D₄	—	2	8	no	—
498	C₃×D₄	—	2	4	no	—
499	C₃×D₄	—	4	4	no	—
500	C₂×C₃×C₄	—	2	8	no	—
501	C₂×C₃×C₄	—	4	2	no	—
502	C₂×C₃×C₄	C₂×C₅×D₄	1	4	yes	—
503	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
504	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
505	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
506	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
507	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
508	#67	—	2	8	no	—
509	#67	—	2	8	no	—
510	#67	—	2	8	no	—
511	#67	—	4	8	no	—
512	C₂×Dic₃	—	2	8	no	—
513	C₂×Dic₃	—	4	2	no	—
514	C₂×Dic₃	C₂×C₅×D₄	1	4	yes	—
515	C₂×Dic₃	C₂⁴×C₅	1	4	yes	—
516	C₂×Dic₃	C₂⁴×C₅	1	4	yes	—
517	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
518	D₁₂	—	2	8	no	—
519	D₁₂	—	2	4	no	—
520	D₁₂	—	4	4	no	—
521	C₄×D₃	—	2	8	no	—
522	C₄×D₃	—	2	8	no	—
523	C₄×D₃	—	2	8	no	—
524	C₄×D₃	C₂×C₅×D₄	1	8	yes	—
525	C₄×D₃	C₂×C₅×D₄	1	8	yes	—
526	Dic₆	—	2	4	no	—
527	Dic₆	—	2	8	no	—
528	C₂²×C₅	—	2	2	no	—
529	C₂²×C₅	—	2	4	no	—
530	C₂²×C₅	—	2	8	no	—
531	C₂²×C₅	—	3	4	no	—
532	C₂²×C₅	—	6	4	no	—
533	C₂²×C₅	—	6	4	no	—
534	C₂²×C₅	—	6	8	no	—
535	C₂²×C₅	—	12	4	no	—
536	C₂²×C₅	—	12	16	no	—
537	C₂²×C₅	C₂×D₃×D₄	1	2	yes	—
538	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
539	C₄×C₅	—	2	4	no	—
540	C₄×C₅	—	2	2	no	—
541	C₄×C₅	—	2	2	no	—
542	C₄×C₅	—	3	4	no	—
543	C₄×C₅	—	6	4	no	—
544	C₄×C₅	—	6	4	no	—
545	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
546	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
547	C₂⁴	—	3	1	no	—
548	C₂⁴	—	3	4	no	—
549	#41	—	2	8	no	—
550	#41	—	6	16	no	—
551	#41	—	6	16	no	—
552	#41	—	6	8	no	—
553	#41	—	6	8	no	—
554	#41	—	6	8	no	—
555	C₂×Q₈	—	3	4	no	—
556	C₂×Q₈	—	3	2	no	—
557	C₂×Q₈	—	6	8	no	—
558	C₂×Q₈	C₂²×C₅×D₃	1	2	yes	—
559	C₂×D₄	—	3	4	no	—
560	C₂×D₄	—	3	4	no	—
561	C₂×D₄	—	3	4	no	—
562	C₂×D₄	—	3	8	no	—
563	C₂×D₄	—	3	4	no	—
564	C₂×D₄	—	3	2	no	—
565	C₂×D₄	—	3	4	no	—
566	C₂×D₄	—	6	8	no	—
567	C₂×D₄	—	6	16	no	—
568	C₂×D₄	C₂²×C₅×D₃	1	4	yes	—
569	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
570	C₂×D₄	C₂²×C₅×D₃	1	4	yes	—
571	C₂²×C₄	—	3	1	no	—
572	C₂²×C₄	—	3	8	no	—
573	C₂²×C₄	—	3	2	no	—
574	C₂²×C₄	—	3	2	no	—
575	C₂²×C₄	—	3	4	no	—
576	C₂²×C₄	—	3	2	no	—
577	C₂²×C₄	—	3	4	no	—
578	C₂²×C₄	—	3	4	no	—
579	C₂²×C₄	—	3	4	no	—
580	C₂²×C₄	—	6	16	no	—
581	C₂²×C₄	C₂²×C₅×D₃	1	4	yes	—
582	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
583	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
584	C₄⋊C₄	—	3	4	no	—
585	C₄⋊C₄	—	3	4	no	—
586	C₄⋊C₄	—	3	8	no	—
587	C₄⋊C₄	—	3	4	no	—
588	C₄⋊C₄	C₂²×C₅×D₃	1	4	yes	—
589	C₂²⋊C₄	—	3	8	no	—
590	C₂²⋊C₄	—	3	4	no	—
591	C₂²⋊C₄	—	3	4	no	—
592	C₂²⋊C₄	—	3	8	no	—
593	C₂²⋊C₄	—	3	8	no	—
594	C₂²⋊C₄	C₂²×C₅×D₃	1	8	yes	—
595	C₄²	—	3	2	no	—
596	C₄²	—	3	2	no	—
597	C₄²	C₂²×C₅×D₃	1	2	yes	—
598	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
599	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
600	C₃×C₅	#3449	1	1	yes	characteristic, complemented, Hall
601	C₂²×C₃	—	2	2	no	—
602	C₂²×C₃	—	2	4	no	—
603	C₂²×C₃	—	2	8	no	—
604	C₂²×C₃	C₂²×C₅×D₄	1	2	yes	—
605	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
606	C₂×D₃	—	2	4	no	—
607	C₂×D₃	—	2	4	no	—
608	C₂×D₃	—	2	8	no	—
609	C₂×D₃	—	4	4	no	—
610	C₂×D₃	—	4	16	no	—
611	C₂×D₃	C₂²×C₅×D₄	1	4	yes	—
612	C₃×C₄	—	2	4	no	—
613	C₃×C₄	—	2	2	no	—
614	C₃×C₄	—	2	2	no	—
615	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
616	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
617	Dic₃	—	2	4	no	—
618	Dic₃	—	2	4	no	—
619	Dic₃	C₂²×C₅×D₄	1	4	yes	—
620	C₂×C₅	—	2	2	no	—
621	C₂×C₅	—	4	4	no	—
622	C₂×C₅	—	6	4	no	—
623	C₂×C₅	—	12	4	no	—
624	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
625	C₂×C₅	#5964	1	2	yes	—
626	C₂³	—	3	2	no	—
627	C₂³	—	3	4	no	—
628	C₂³	—	3	4	no	—
629	C₂³	—	6	8	no	—
630	C₂³	—	12	2	no	—
631	C₂³	—	12	8	no	—
632	C₂³	C₂³×C₅×D₃	1	4	yes	—
633	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
634	Q₈	—	2	4	no	—
635	Q₈	—	6	8	no	—
636	Q₈	—	6	4	no	—
637	D₄	—	2	8	no	—
638	D₄	—	2	4	no	—
639	D₄	—	4	4	no	—
640	D₄	—	6	8	no	—
641	D₄	—	6	8	no	—
642	D₄	—	6	8	no	—
643	D₄	—	6	8	no	—
644	D₄	—	6	4	no	—
645	D₄	—	12	4	no	—
646	D₄	—	12	8	no	—
647	C₂×C₄	—	2	8	no	—
648	C₂×C₄	—	3	4	no	—
649	C₂×C₄	—	3	2	no	—
650	C₂×C₄	—	3	8	no	—
651	C₂×C₄	—	3	8	no	—
652	C₂×C₄	—	3	4	no	—
653	C₂×C₄	—	3	4	no	—
654	C₂×C₄	—	4	2	no	—
655	C₂×C₄	—	6	8	no	—
656	C₂×C₄	—	6	8	no	—
657	C₂×C₄	—	6	8	no	—
658	C₂×C₄	—	6	8	no	—
659	C₂×C₄	—	12	2	no	—
660	C₂×C₄	C₅×D₃×D₄	1	4	yes	—
661	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
662	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
663	C₂×C₄	C₂³×C₅×D₃	1	4	yes	—
664	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
665	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
666	C₂×C₃	—	2	2	no	—
667	C₂×C₃	—	4	4	no	—
668	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
669	C₂×C₃	C₅×#585	1	2	yes	—
670	D₃	—	2	4	no	—
671	D₃	—	4	4	no	—
672	C₅	#86235	1	1	yes	characteristic, direct product factor, Sylow
673	C₂²	—	2	2	no	—
674	C₂²	—	2	4	no	—
675	C₂²	—	2	8	no	—
676	C₂²	—	3	4	no	—
677	C₂²	—	6	4	no	—
678	C₂²	—	6	4	no	—
679	C₂²	—	6	8	no	—
680	C₂²	—	12	4	no	—
681	C₂²	—	12	16	no	—
682	C₂²	C₂×C₅×D₃×D₄	1	2	yes	—
683	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
684	C₄	—	2	4	no	—
685	C₄	—	2	2	no	—
686	C₄	—	2	2	no	—
687	C₄	—	3	4	no	—
688	C₄	—	6	4	no	—
689	C₄	—	6	4	no	—
690	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
691	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
692	C₃	C₅×#3449	1	1	yes	characteristic, complemented, Sylow
693	C₂	—	2	2	no	—
694	C₂	—	4	4	no	—
695	C₂	—	6	4	no	—
696	C₂	—	12	4	no	—
697	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic
698	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×#532	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#532	D₃
hypocenter	C₃	C₅×#3449
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×#5832	C₂	semidirect
4. C₅×#5724	C₂	semidirect
5. C₅×#5715	C₂	semidirect
6. C₅×#5675	C₂	semidirect
7. C₅×#5674	C₂	semidirect
8. C₅×#5605	C₂	semidirect
9. C₅×#5597	C₂	semidirect
10. C₅×#5547	C₂	semidirect
11. C₅×#5477	C₂	semidirect
12. C₂×C₅×#872	C₂	semidirect
14. C₂×C₃×C₅×#41	C₂²	semidirect
17. C₂×C₅×D₃×Q₈	C₂²	semidirect
19. C₂×C₅×#237	C₂²	semidirect
21. C₂×C₅×D₃×D₄	C₂²	semidirect
23. C₂×C₅×#235	C₂²	semidirect
25. C₂²×C₄×C₅×D₃	C₂²	semidirect
26. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
27. C₃×C₅×#127	C₂²	semidirect
28. C₃×C₅×#124	C₂²	semidirect
29. C₃×C₅×#121	C₂²	semidirect
30. C₃×C₄×C₅×D₄	C₂²	semidirect
31. C₂×C₃×C₄²×C₅	C₂²	semidirect
32. C₅×#947	C₂²	semidirect
33. C₅×#944	C₂²	semidirect
34. C₅×#940	C₂²	semidirect
35. C₅×#939	C₂²	semidirect
36. C₅×#939	C₂²	semidirect
37. C₅×#937	C₂²	semidirect
38. C₅×#936	C₂²	semidirect
39. C₅×#930	C₂²	semidirect
40. C₄×C₅×#67	C₂²	semidirect
42. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
43. C₂×C₄×C₅×Dic₃	C₂²	semidirect
44. C₅×#896	C₂²	semidirect
45. C₅×#894	C₂²	semidirect
46. C₅×#884	C₂²	semidirect
47. C₅×#883	C₂²	semidirect
48. C₅×#882	C₂²	semidirect
49. C₅×#878	C₂²	semidirect
50. C₅×#875	C₂²	semidirect
51. C₅×#874	C₂²	semidirect
52. C₄×C₅×D₁₂	C₂²	semidirect
53. C₅×#872	C₂²	semidirect
54. C₅×#872	C₂²	semidirect
55. C₅×#872	C₂²	semidirect
56. C₅×#869	C₂²	semidirect
57. #86235	C₅	direct (N × H)
67. C₅×#532	D₃	semidirect
99. C₂×C₄×C₅×D₃	D₄	semidirect
123. C₂×D₃×#41	C₂×C₅	semidirect
124. C₃×#532	C₂×C₅	semidirect
125. #5832	C₂×C₅	semidirect
126. #5724	C₂×C₅	semidirect
127. #5715	C₂×C₅	semidirect
128. #5675	C₂×C₅	semidirect
129. #5674	C₂×C₅	semidirect
130. #5605	C₂×C₅	semidirect
131. #5597	C₂×C₅	semidirect
132. #5547	C₂×C₅	semidirect
133. #5477	C₂×C₅	semidirect
134. C₂×#872	C₂×C₅	semidirect
141. C₂×C₅×#41	C₂×D₃	semidirect
149. C₅×C₄⋊Q₈	C₂×D₃	semidirect
152. C₅×#127	C₂×D₃	semidirect
156. C₅×#124	C₂×D₃	semidirect
165. C₅×#121	C₂×D₃	semidirect
170. C₄×C₅×D₄	C₂×D₃	semidirect
177. C₂×C₄²×C₅	C₂×D₃	semidirect
219. C₂×C₃×#41	C₂²×C₅	semidirect
222. C₂×D₃×Q₈	C₂²×C₅	semidirect
224. C₂×#237	C₂²×C₅	semidirect
226. C₂×D₃×D₄	C₂²×C₅	semidirect
228. C₂×#235	C₂²×C₅	semidirect
230. C₂²×C₄×D₃	C₂²×C₅	semidirect
231. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
232. C₃×#127	C₂²×C₅	semidirect
233. C₃×#124	C₂²×C₅	semidirect
234. C₃×#121	C₂²×C₅	semidirect
235. C₃×C₄×D₄	C₂²×C₅	semidirect
236. C₂×C₃×C₄²	C₂²×C₅	semidirect
237. #947	C₂²×C₅	semidirect
238. #944	C₂²×C₅	semidirect
239. #940	C₂²×C₅	semidirect
240. #939	C₂²×C₅	semidirect
241. #939	C₂²×C₅	semidirect
242. #937	C₂²×C₅	semidirect
243. #936	C₂²×C₅	semidirect
244. #930	C₂²×C₅	semidirect
245. C₄×#67	C₂²×C₅	semidirect
247. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
248. C₂×C₄×Dic₃	C₂²×C₅	semidirect
249. #896	C₂²×C₅	semidirect
250. #894	C₂²×C₅	semidirect
251. #884	C₂²×C₅	semidirect
252. #883	C₂²×C₅	semidirect
253. #882	C₂²×C₅	semidirect
254. #878	C₂²×C₅	semidirect
255. #875	C₂²×C₅	semidirect
256. #874	C₂²×C₅	semidirect
257. C₄×D₁₂	C₂²×C₅	semidirect
258. #872	C₂²×C₅	semidirect
259. #872	C₂²×C₅	semidirect
260. #872	C₂²×C₅	semidirect
261. #869	C₂²×C₅	semidirect
324. #532	C₅×D₃	semidirect
375. C₂×C₄×D₃	C₅×D₄	semidirect
445. C₂×#41	C₂×C₅×D₃	semidirect
453. C₄⋊Q₈	C₂×C₅×D₃	semidirect
456. #127	C₂×C₅×D₃	semidirect
460. #124	C₂×C₅×D₃	semidirect
469. #121	C₂×C₅×D₃	semidirect
474. C₄×D₄	C₂×C₅×D₃	semidirect
481. C₂×C₄²	C₂×C₅×D₃	semidirect
600. C₃×C₅	#3449	semidirect
672. C₅	#86235	direct (N × H)
692. 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
C₃×C₅×#532	2
C₅×#5832	2
C₅×#5724	2
C₅×#5715	2
C₅×#5675	2
C₅×#5674	2
C₅×#5605	2
C₅×#5597	2
C₅×#5547	2
C₅×#5477	2
C₂×C₅×#872	2
C₅×#3449	3
#86235	5

Subgroups — C5×#86235 #14480632

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#86235 #14480632