Subgroups — C₂×C₅×#5599 #14482966

Order 1920.

3472 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×#237	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₅×#235	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×C₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₅×#940	C₂	1	2	yes	maximal, complemented
5	C₂×C₅×#940	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₅×#939	C₂	1	2	yes	maximal, complemented
7	C₂×C₄×C₅×#67	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#5599	C₂	1	16	yes	maximal, direct product factor
9	C₂×C₅×#895	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₅×#887	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₅×#884	C₂	1	2	yes	maximal, complemented
12	C₂×C₅×#67⋊C₄	C₂	1	2	yes	maximal, complemented
13	C₂×C₅×#550	—	3	1	no	maximal, Hall
14	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
15	C₂²×C₃×C₅×D₄	C₂²	1	2	yes	—
16	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic
17	C₂²×C₅×#67	C₂²	1	2	yes	—
18	C₂²×C₅×#67	C₂²	1	2	yes	—
19	C₂²×C₅×#67	C₂²	1	2	yes	—
20	C₂²×C₅×#67	C₂²	1	1	yes	characteristic
21	C₂²×C₅×#67	C₂²	1	2	yes	—
22	C₂³×C₅×Dic₃	C₂²	1	2	yes	—
23	C₂×C₅×#237	—	2	8	no	—
24	C₂×C₅×#237	C₂²	1	8	yes	complemented
25	C₂×C₅×#235	—	2	8	no	—
26	C₂×C₅×#235	C₂²	1	8	yes	complemented
27	C₂²×C₅×D₁₂	C₂²	1	1	yes	characteristic
28	C₂²×C₅×D₁₂	C₂²	1	2	yes	—
29	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
30	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
31	C₂²×C₅×Dic₆	C₂²	1	1	yes	characteristic
32	C₃×C₅×#121	C₂²	1	8	yes	complemented
33	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
35	C₂×C₅×#217	C₂²	1	1	yes	characteristic
36	C₅×#940	C₂²	1	16	yes	complemented
37	C₅×#940	C₂²	1	8	yes	complemented
38	C₅×#939	C₂²	1	16	yes	complemented
39	C₄×C₅×#67	C₂²	1	8	yes	complemented
40	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	2	yes	—
41	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×C₅×Dic₃⋊C₄	C₂²	1	2	yes	—
44	C₂×C₄×C₅×Dic₃	C₂²	1	2	yes	—
45	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
46	C₅×#895	C₂²	1	8	yes	complemented
47	C₅×#887	C₂²	1	8	yes	complemented
48	C₅×#884	C₂²	1	16	yes	complemented
49	C₅×#67⋊C₄	C₂²	1	16	yes	complemented
50	C₂×#5599	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
51	C₂²×C₅×#41	—	3	1	no	—
52	C₂²×C₅×#41	—	3	1	no	—
53	C₅×#550	—	3	16	no	—
54	C₂×C₅×#127	—	3	2	no	—
55	C₂×C₅×#127	—	3	1	no	—
56	C₂×C₅×#121	—	3	2	no	—
57	C₂×C₅×#121	—	3	1	no	—
58	C₂×C₅×#121	—	3	2	no	—
59	C₂×C₅×#121	D₃	1	1	yes	characteristic, complemented
60	C₂×C₄×C₅×Q₈	—	3	1	no	—
61	C₂×C₄×C₅×D₄	—	3	1	no	—
62	C₂×C₄×C₅×D₄	—	3	2	no	—
63	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
64	C₂⁴×C₃×C₅	C₂³	1	2	yes	—
65	C₂³×C₅×D₃	C₂³	1	2	yes	—
66	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
67	C₂×C₃×C₅×D₄	—	2	4	no	—
68	C₂×C₃×C₅×D₄	—	4	4	no	—
69	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
70	C₂×C₃×C₅×D₄	C₂³	1	8	yes	—
71	C₂²×C₃×C₄×C₅	—	2	4	no	—
72	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
73	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
74	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
75	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
76	C₂×C₅×#67	—	2	8	no	—
77	C₂×C₅×#67	—	2	8	no	—
78	C₂×C₅×#67	—	2	8	no	—
79	C₂×C₅×#67	—	2	4	no	—
80	C₂×C₅×#67	—	4	4	no	—
81	C₂×C₅×#67	C₂³	1	8	yes	—
82	C₂×C₅×#67	C₂³	1	8	yes	—
83	C₂×C₅×#67	C₂³	1	4	yes	—
84	C₂×C₅×#67	C₂³	1	8	yes	—
85	C₂×C₅×#67	C₂³	1	8	yes	—
86	C₂²×C₅×Dic₃	—	2	8	no	—
87	C₂²×C₅×Dic₃	C₂³	1	8	yes	—
88	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
89	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
90	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
91	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
92	C₅×#237	—	2	32	no	—
93	C₅×#235	—	2	32	no	—
94	C₂×C₅×D₁₂	—	2	4	no	—
95	C₂×C₅×D₁₂	—	4	4	no	—
96	C₂×C₅×D₁₂	C₂³	1	4	yes	—
97	C₂×C₅×D₁₂	C₂³	1	8	yes	—
98	C₂×C₄×C₅×D₃	—	2	4	no	—
99	C₂×C₄×C₅×D₃	—	2	8	no	—
100	C₂×C₄×C₅×D₃	C₂³	1	8	yes	—
101	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
102	C₂×C₅×Dic₆	D₄	1	8	yes	complemented
103	C₂×C₅×Dic₆	C₂³	1	4	yes	—
104	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
105	C₃×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
106	C₅×#217	C₂³	1	4	yes	—
107	C₅×(C₂×D₃)⋊C₄	C₂³	1	8	yes	—
108	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
109	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
110	C₅×Dic₃⋊C₄	C₂³	1	8	yes	—
111	C₄×C₅×Dic₃	C₂³	1	8	yes	—
112	C₄×C₅×Dic₃	C₂³	1	4	yes	—
113	C₂²×#237	C₂×C₅	1	1	yes	characteristic, complemented
114	C₂²×#235	C₂×C₅	1	1	yes	characteristic, complemented
115	C₂×C₃×#121	C₂×C₅	1	1	yes	characteristic, complemented
116	C₂×#940	C₂×C₅	1	2	yes	complemented
117	C₂×#940	C₂×C₅	1	1	yes	characteristic, complemented
118	C₂×#939	C₂×C₅	1	2	yes	complemented
119	C₂×C₄×#67	C₂×C₅	1	1	yes	characteristic, complemented
120	#5599	C₂×C₅	1	16	yes	direct product factor
121	C₂×#895	C₂×C₅	1	1	yes	characteristic, complemented
122	C₂×#887	C₂×C₅	1	1	yes	characteristic, complemented
123	C₂×#884	C₂×C₅	1	2	yes	complemented
124	C₂×#67⋊C₄	C₂×C₅	1	2	yes	complemented
125	C₂×C₅×#41	—	3	8	no	—
126	C₂×C₅×#41	—	3	8	no	—
127	C₂×C₅×#41	—	6	8	no	—
128	C₂×C₅×#41	—	6	8	no	—
129	C₂²×C₅×Q₈	—	3	1	no	—
130	C₂²×C₅×D₄	—	3	1	no	—
131	C₂²×C₅×D₄	—	3	2	no	—
132	C₂²×C₅×D₄	—	3	2	no	—
133	C₂²×C₅×D₄	—	3	2	no	—
134	C₂²×C₅×D₄	—	3	2	no	—
135	C₂²×C₅×D₄	—	3	1	no	—
136	C₂²×C₅×D₄	—	3	2	no	—
137	C₂²×C₅×D₄	C₂×D₃	1	1	yes	characteristic
138	C₂²×C₅×D₄	C₂×D₃	1	2	yes	—
139	C₂³×C₄×C₅	—	3	2	no	—
140	C₂³×C₄×C₅	—	3	2	no	—
141	C₂³×C₄×C₅	—	3	1	no	—
142	C₂³×C₄×C₅	C₂×D₃	1	1	yes	characteristic
143	C₅×#127	—	3	16	no	—
144	C₅×#127	—	3	8	no	—
145	C₅×#121	—	3	16	no	—
146	C₅×#121	—	3	8	no	—
147	C₅×#121	—	3	16	no	—
148	C₅×#121	C₂×D₃	1	8	yes	complemented
149	C₄×C₅×Q₈	—	3	8	no	—
150	C₄×C₅×D₄	—	3	8	no	—
151	C₄×C₅×D₄	—	3	16	no	—
152	C₂×C₅×C₄⋊C₄	—	3	1	no	—
153	C₂×C₅×C₄⋊C₄	—	3	2	no	—
154	C₂×C₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
155	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
156	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
157	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
158	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	2	yes	—
159	C₂×C₄²×C₅	—	3	2	no	—
160	C₂×C₄²×C₅	—	3	1	no	—
161	C₂×#550	—	3	1	no	Sylow
162	C₂³×C₃×C₅	—	2	4	no	—
163	C₂³×C₃×C₅	—	2	2	no	—
164	C₂³×C₃×C₅	—	2	2	no	—
165	C₂³×C₃×C₅	—	2	4	no	—
166	C₂³×C₃×C₅	—	2	4	no	—
167	C₂³×C₃×C₅	—	2	2	no	—
168	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
169	C₂³×C₃×C₅	C₂⁴	1	4	yes	—
170	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
171	C₂²×C₅×D₃	—	2	4	no	—
172	C₂²×C₅×D₃	—	2	2	no	—
173	C₂²×C₅×D₃	—	2	4	no	—
174	C₂²×C₅×D₃	—	2	2	no	—
175	C₂²×C₅×D₃	—	2	2	no	—
176	C₂²×C₅×D₃	—	2	4	no	—
177	C₂²×C₅×D₃	C₂⁴	1	4	yes	—
178	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
179	C₃×C₅×D₄	—	2	8	no	—
180	C₃×C₅×D₄	—	4	8	no	—
181	C₂×C₃×C₄×C₅	—	2	2	no	—
182	C₂×C₃×C₄×C₅	—	2	4	no	—
183	C₂×C₃×C₄×C₅	—	2	8	no	—
184	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	—
185	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
186	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
187	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
188	C₅×#67	—	2	16	no	—
189	C₅×#67	—	2	16	no	—
190	C₅×#67	—	2	16	no	—
191	C₅×#67	—	2	8	no	—
192	C₅×#67	—	4	8	no	—
193	C₂×C₅×Dic₃	—	2	2	no	—
194	C₂×C₅×Dic₃	—	2	2	no	—
195	C₂×C₅×Dic₃	—	2	16	no	—
196	C₂×C₅×Dic₃	C₂×D₄	1	8	yes	—
197	C₂×C₅×Dic₃	#41	1	4	yes	complemented
198	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
199	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
200	C₂×C₅×Dic₃	C₂⁴	1	4	yes	—
201	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
202	C₅×D₁₂	—	2	8	no	—
203	C₅×D₁₂	—	4	8	no	—
204	C₄×C₅×D₃	—	2	8	no	—
205	C₄×C₅×D₃	—	2	16	no	—
206	C₅×Dic₆	C₂×D₄	1	16	yes	complemented
207	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
208	C₂²×C₃×D₄	C₂²×C₅	1	2	yes	—
209	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic
210	C₂²×#67	C₂²×C₅	1	2	yes	—
211	C₂²×#67	C₂²×C₅	1	2	yes	—
212	C₂²×#67	C₂²×C₅	1	2	yes	—
213	C₂²×#67	C₂²×C₅	1	1	yes	characteristic
214	C₂²×#67	C₂²×C₅	1	2	yes	—
215	C₂³×Dic₃	C₂²×C₅	1	2	yes	—
216	C₂×#237	—	2	8	no	—
217	C₂×#237	C₂²×C₅	1	8	yes	complemented
218	C₂×#235	—	2	8	no	—
219	C₂×#235	C₂²×C₅	1	8	yes	complemented
220	C₂²×D₁₂	C₂²×C₅	1	1	yes	characteristic
221	C₂²×D₁₂	C₂²×C₅	1	2	yes	—
222	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
223	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
224	C₂²×Dic₆	C₂²×C₅	1	1	yes	characteristic
225	C₃×#121	C₂²×C₅	1	8	yes	complemented
226	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
227	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
228	C₂×#217	C₂²×C₅	1	1	yes	characteristic
229	#940	C₂²×C₅	1	16	yes	complemented
230	#940	C₂²×C₅	1	8	yes	complemented
231	#939	C₂²×C₅	1	16	yes	complemented
232	C₄×#67	C₂²×C₅	1	8	yes	complemented
233	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	2	yes	—
234	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic
235	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic
236	C₂×Dic₃⋊C₄	C₂²×C₅	1	2	yes	—
237	C₂×C₄×Dic₃	C₂²×C₅	1	2	yes	—
238	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
239	#895	C₂²×C₅	1	8	yes	complemented
240	#887	C₂²×C₅	1	8	yes	complemented
241	#884	C₂²×C₅	1	16	yes	complemented
242	#67⋊C₄	C₂²×C₅	1	16	yes	complemented
243	C₂⁴×C₅	—	3	1	no	—
244	C₂⁴×C₅	—	3	2	no	—
245	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
246	C₂⁴×C₅	C₂²×D₃	1	2	yes	—
247	C₅×#41	—	6	32	no	—
248	C₅×#41	—	6	32	no	—
249	C₂×C₅×Q₈	—	3	8	no	—
250	C₂×C₅×Q₈	—	3	4	no	—
251	C₂×C₅×D₄	—	2	4	no	—
252	C₂×C₅×D₄	—	3	4	no	—
253	C₂×C₅×D₄	—	3	8	no	—
254	C₂×C₅×D₄	—	3	8	no	—
255	C₂×C₅×D₄	—	3	8	no	—
256	C₂×C₅×D₄	—	3	8	no	—
257	C₂×C₅×D₄	—	3	4	no	—
258	C₂×C₅×D₄	—	3	8	no	—
259	C₂×C₅×D₄	—	4	4	no	—
260	C₂×C₅×D₄	—	6	8	no	—
261	C₂×C₅×D₄	—	6	8	no	—
262	C₂×C₅×D₄	—	6	4	no	—
263	C₂×C₅×D₄	—	6	8	no	—
264	C₂×C₅×D₄	—	6	4	no	—
265	C₂×C₅×D₄	—	12	4	no	—
266	C₂×C₅×D₄	—	12	4	no	—
267	C₂×C₅×D₄	C₂²×D₃	1	4	yes	—
268	C₂×C₅×D₄	C₂²×D₃	1	8	yes	—
269	C₂²×C₄×C₅	—	2	4	no	—
270	C₂²×C₄×C₅	—	3	1	no	—
271	C₂²×C₄×C₅	—	3	2	no	—
272	C₂²×C₄×C₅	—	3	8	no	—
273	C₂²×C₄×C₅	—	3	1	no	—
274	C₂²×C₄×C₅	—	3	1	no	—
275	C₂²×C₄×C₅	—	3	8	no	—
276	C₂²×C₄×C₅	—	3	4	no	—
277	C₂²×C₄×C₅	—	6	8	no	—
278	C₂²×C₄×C₅	—	6	8	no	—
279	C₂²×C₄×C₅	—	6	4	no	—
280	C₂²×C₄×C₅	C₂²×D₃	1	4	yes	—
281	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
282	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
283	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
284	C₅×C₄⋊C₄	—	3	4	no	—
285	C₅×C₄⋊C₄	—	3	8	no	—
286	C₅×C₄⋊C₄	C₂²×D₃	1	4	yes	—
287	C₅×C₂²⋊C₄	—	3	4	no	—
288	C₅×C₂²⋊C₄	—	3	4	no	—
289	C₅×C₂²⋊C₄	—	3	8	no	—
290	C₅×C₂²⋊C₄	C₂²×D₃	1	8	yes	—
291	C₄²×C₅	—	3	8	no	—
292	C₄²×C₅	—	3	4	no	—
293	C₂²×#41	—	3	1	no	—
294	C₂²×#41	—	3	1	no	—
295	#550	—	3	16	no	—
296	C₂×#127	—	3	2	no	—
297	C₂×#127	—	3	1	no	—
298	C₂×#121	—	3	2	no	—
299	C₂×#121	—	3	1	no	—
300	C₂×#121	—	3	2	no	—
301	C₂×#121	C₅×D₃	1	1	yes	characteristic, complemented
302	C₂×C₄×Q₈	—	3	1	no	—
303	C₂×C₄×D₄	—	3	1	no	—
304	C₂×C₄×D₄	—	3	2	no	—
305	C₂²×C₃×C₅	—	2	4	no	—
306	C₂²×C₃×C₅	—	2	2	no	—
307	C₂²×C₃×C₅	—	2	2	no	—
308	C₂²×C₃×C₅	—	2	4	no	—
309	C₂²×C₃×C₅	—	2	4	no	—
310	C₂²×C₃×C₅	—	2	2	no	—
311	C₂²×C₃×C₅	—	4	8	no	—
312	C₂²×C₃×C₅	—	4	4	no	—
313	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
314	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
315	C₂²×C₃×C₅	H(5,𝔽₂)	1	2	yes	—
316	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
317	C₂×C₅×D₃	—	2	4	no	—
318	C₂×C₅×D₃	—	2	2	no	—
319	C₂×C₅×D₃	—	2	4	no	—
320	C₂×C₅×D₃	—	2	2	no	—
321	C₂×C₅×D₃	—	2	2	no	—
322	C₂×C₅×D₃	—	2	4	no	—
323	C₂×C₅×D₃	—	4	8	no	—
324	C₂×C₅×D₃	—	4	4	no	—
325	C₃×C₄×C₅	—	2	2	no	—
326	C₃×C₄×C₅	—	2	4	no	—
327	C₃×C₄×C₅	C₂²×D₄	1	4	yes	—
328	C₅×Dic₃	—	2	2	no	—
329	C₅×Dic₃	—	2	2	no	—
330	C₅×Dic₃	C₂²×D₄	1	8	yes	—
331	C₅×Dic₃	C₂×#41	1	4	yes	complemented
332	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
333	C₂⁴×C₃	C₂³×C₅	1	2	yes	—
334	C₂³×D₃	C₂³×C₅	1	2	yes	—
335	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
336	C₂×C₃×D₄	—	2	4	no	—
337	C₂×C₃×D₄	—	4	4	no	—
338	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
339	C₂×C₃×D₄	C₂³×C₅	1	8	yes	—
340	C₂²×C₃×C₄	—	2	4	no	—
341	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
342	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
343	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
344	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
345	C₂×#67	—	2	8	no	—
346	C₂×#67	—	2	8	no	—
347	C₂×#67	—	2	8	no	—
348	C₂×#67	—	2	4	no	—
349	C₂×#67	—	4	4	no	—
350	C₂×#67	C₂³×C₅	1	8	yes	—
351	C₂×#67	C₂³×C₅	1	8	yes	—
352	C₂×#67	C₂³×C₅	1	4	yes	—
353	C₂×#67	C₂³×C₅	1	8	yes	—
354	C₂×#67	C₂³×C₅	1	8	yes	—
355	C₂²×Dic₃	—	2	8	no	—
356	C₂²×Dic₃	C₂³×C₅	1	8	yes	—
357	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
358	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
359	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
360	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
361	#237	—	2	32	no	—
362	#235	—	2	32	no	—
363	C₂×D₁₂	—	2	4	no	—
364	C₂×D₁₂	—	4	4	no	—
365	C₂×D₁₂	C₂³×C₅	1	4	yes	—
366	C₂×D₁₂	C₂³×C₅	1	8	yes	—
367	C₂×C₄×D₃	—	2	4	no	—
368	C₂×C₄×D₃	—	2	8	no	—
369	C₂×C₄×D₃	C₂³×C₅	1	8	yes	—
370	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
371	C₂×Dic₆	C₅×D₄	1	8	yes	complemented
372	C₂×Dic₆	C₂³×C₅	1	4	yes	—
373	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
374	C₃×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
375	#217	C₂³×C₅	1	4	yes	—
376	(C₂×D₃)⋊C₄	C₂³×C₅	1	8	yes	—
377	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
378	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
379	Dic₃⋊C₄	C₂³×C₅	1	8	yes	—
380	C₄×Dic₃	C₂³×C₅	1	8	yes	—
381	C₄×Dic₃	C₂³×C₅	1	4	yes	—
382	C₂³×C₅	—	2	2	no	—
383	C₂³×C₅	—	2	4	no	—
384	C₂³×C₅	—	2	2	no	—
385	C₂³×C₅	—	2	4	no	—
386	C₂³×C₅	—	2	2	no	—
387	C₂³×C₅	—	2	4	no	—
388	C₂³×C₅	—	3	2	no	—
389	C₂³×C₅	—	3	4	no	—
390	C₂³×C₅	—	6	4	no	—
391	C₂³×C₅	—	6	2	no	—
392	C₂³×C₅	—	6	2	no	—
393	C₂³×C₅	—	6	4	no	—
394	C₂³×C₅	—	6	2	no	—
395	C₂³×C₅	—	6	4	no	—
396	C₂³×C₅	C₂³×D₃	1	2	yes	—
397	C₂³×C₅	C₂³×D₃	1	4	yes	—
398	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
399	C₅×Q₈	—	3	16	no	—
400	C₅×D₄	—	2	8	no	—
401	C₅×D₄	—	4	8	no	—
402	C₅×D₄	—	6	8	no	—
403	C₅×D₄	—	6	16	no	—
404	C₅×D₄	—	6	16	no	—
405	C₅×D₄	—	6	16	no	—
406	C₅×D₄	—	6	8	no	—
407	C₅×D₄	—	12	8	no	—
408	C₅×D₄	—	12	8	no	—
409	C₂×C₄×C₅	—	2	2	no	—
410	C₂×C₄×C₅	—	2	4	no	—
411	C₂×C₄×C₅	—	2	8	no	—
412	C₂×C₄×C₅	—	3	8	no	—
413	C₂×C₄×C₅	—	3	4	no	—
414	C₂×C₄×C₅	—	3	2	no	—
415	C₂×C₄×C₅	—	3	4	no	—
416	C₂×C₄×C₅	—	3	2	no	—
417	C₂×C₄×C₅	—	3	2	no	—
418	C₂×C₄×C₅	—	6	16	no	—
419	C₂×C₄×C₅	—	6	16	no	—
420	C₂×C₄×C₅	—	6	2	no	—
421	C₂×C₄×C₅	—	6	2	no	—
422	C₂×C₄×C₅	—	6	8	no	—
423	C₂×C₄×C₅	D₃×D₄	1	4	yes	—
424	C₂×C₄×C₅	C₂³×D₃	1	4	yes	—
425	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
426	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
427	C₂×#41	—	3	8	no	—
428	C₂×#41	—	3	8	no	—
429	C₂×#41	—	6	8	no	—
430	C₂×#41	—	6	8	no	—
431	C₂²×Q₈	—	3	1	no	—
432	C₂²×D₄	—	3	1	no	—
433	C₂²×D₄	—	3	2	no	—
434	C₂²×D₄	—	3	2	no	—
435	C₂²×D₄	—	3	2	no	—
436	C₂²×D₄	—	3	2	no	—
437	C₂²×D₄	—	3	1	no	—
438	C₂²×D₄	—	3	2	no	—
439	C₂²×D₄	C₂×C₅×D₃	1	1	yes	characteristic
440	C₂²×D₄	C₂×C₅×D₃	1	2	yes	—
441	C₂³×C₄	—	3	2	no	—
442	C₂³×C₄	—	3	2	no	—
443	C₂³×C₄	—	3	1	no	—
444	C₂³×C₄	C₂×C₅×D₃	1	1	yes	characteristic
445	#127	—	3	16	no	—
446	#127	—	3	8	no	—
447	#121	—	3	16	no	—
448	#121	—	3	8	no	—
449	#121	—	3	16	no	—
450	#121	C₂×C₅×D₃	1	8	yes	complemented
451	C₄×Q₈	—	3	8	no	—
452	C₄×D₄	—	3	8	no	—
453	C₄×D₄	—	3	16	no	—
454	C₂×C₄⋊C₄	—	3	1	no	—
455	C₂×C₄⋊C₄	—	3	2	no	—
456	C₂×C₄⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
457	C₂×C₂²⋊C₄	—	3	1	no	—
458	C₂×C₂²⋊C₄	—	3	1	no	—
459	C₂×C₂²⋊C₄	—	3	2	no	—
460	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	2	yes	—
461	C₂×C₄²	—	3	2	no	—
462	C₂×C₄²	—	3	1	no	—
463	C₂×C₃×C₅	—	4	4	no	—
464	C₂×C₃×C₅	—	4	2	no	—
465	C₂×C₃×C₅	#550	1	4	yes	complemented
466	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
467	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
468	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
469	C₅×D₃	—	4	4	no	—
470	C₅×D₃	—	4	2	no	—
471	C₂³×C₃	—	2	4	no	—
472	C₂³×C₃	—	2	2	no	—
473	C₂³×C₃	—	2	2	no	—
474	C₂³×C₃	—	2	4	no	—
475	C₂³×C₃	—	2	4	no	—
476	C₂³×C₃	—	2	2	no	—
477	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
478	C₂³×C₃	C₂⁴×C₅	1	4	yes	—
479	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
480	C₂²×D₃	—	2	4	no	—
481	C₂²×D₃	—	2	2	no	—
482	C₂²×D₃	—	2	4	no	—
483	C₂²×D₃	—	2	2	no	—
484	C₂²×D₃	—	2	2	no	—
485	C₂²×D₃	—	2	4	no	—
486	C₂²×D₃	C₂⁴×C₅	1	4	yes	—
487	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
488	C₃×D₄	—	2	8	no	—
489	C₃×D₄	—	4	8	no	—
490	C₂×C₃×C₄	—	2	2	no	—
491	C₂×C₃×C₄	—	2	4	no	—
492	C₂×C₃×C₄	—	2	8	no	—
493	C₂×C₃×C₄	C₂×C₅×D₄	1	4	yes	—
494	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
495	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
496	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
497	#67	—	2	16	no	—
498	#67	—	2	16	no	—
499	#67	—	2	16	no	—
500	#67	—	2	8	no	—
501	#67	—	4	8	no	—
502	C₂×Dic₃	—	2	2	no	—
503	C₂×Dic₃	—	2	2	no	—
504	C₂×Dic₃	—	2	16	no	—
505	C₂×Dic₃	C₂×C₅×D₄	1	8	yes	—
506	C₂×Dic₃	C₅×#41	1	4	yes	complemented
507	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
508	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
509	C₂×Dic₃	C₂⁴×C₅	1	4	yes	—
510	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
511	D₁₂	—	2	8	no	—
512	D₁₂	—	4	8	no	—
513	C₄×D₃	—	2	8	no	—
514	C₄×D₃	—	2	16	no	—
515	Dic₆	C₂×C₅×D₄	1	16	yes	complemented
516	C₂²×C₅	—	2	2	no	—
517	C₂²×C₅	—	2	4	no	—
518	C₂²×C₅	—	2	2	no	—
519	C₂²×C₅	—	2	4	no	—
520	C₂²×C₅	—	2	2	no	—
521	C₂²×C₅	—	2	4	no	—
522	C₂²×C₅	—	4	4	no	—
523	C₂²×C₅	—	4	8	no	—
524	C₂²×C₅	—	6	4	no	—
525	C₂²×C₅	—	6	2	no	—
526	C₂²×C₅	—	6	2	no	—
527	C₂²×C₅	—	6	4	no	—
528	C₂²×C₅	—	6	2	no	—
529	C₂²×C₅	—	6	4	no	—
530	C₂²×C₅	—	12	8	no	—
531	C₂²×C₅	—	12	4	no	—
532	C₂²×C₅	C₂×D₃×D₄	1	2	yes	—
533	C₂²×C₅	#1004	1	2	yes	—
534	C₂²×C₅	D₃×#41	1	2	yes	—
535	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
536	C₄×C₅	—	2	2	no	—
537	C₄×C₅	—	2	4	no	—
538	C₄×C₅	—	3	8	no	—
539	C₄×C₅	—	3	4	no	—
540	C₄×C₅	—	6	2	no	—
541	C₄×C₅	—	6	2	no	—
542	C₄×C₅	C₂×D₃×D₄	1	4	yes	—
543	C₂⁴	—	3	1	no	—
544	C₂⁴	—	3	2	no	—
545	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
546	C₂⁴	C₂²×C₅×D₃	1	2	yes	—
547	#41	—	6	32	no	—
548	#41	—	6	32	no	—
549	C₂×Q₈	—	3	8	no	—
550	C₂×Q₈	—	3	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	3	4	no	—
553	C₂×D₄	—	3	8	no	—
554	C₂×D₄	—	3	8	no	—
555	C₂×D₄	—	3	8	no	—
556	C₂×D₄	—	3	8	no	—
557	C₂×D₄	—	3	4	no	—
558	C₂×D₄	—	3	8	no	—
559	C₂×D₄	—	4	4	no	—
560	C₂×D₄	—	6	8	no	—
561	C₂×D₄	—	6	8	no	—
562	C₂×D₄	—	6	4	no	—
563	C₂×D₄	—	6	8	no	—
564	C₂×D₄	—	6	4	no	—
565	C₂×D₄	—	12	4	no	—
566	C₂×D₄	—	12	4	no	—
567	C₂×D₄	C₂²×C₅×D₃	1	4	yes	—
568	C₂×D₄	C₂²×C₅×D₃	1	8	yes	—
569	C₂²×C₄	—	2	4	no	—
570	C₂²×C₄	—	3	1	no	—
571	C₂²×C₄	—	3	2	no	—
572	C₂²×C₄	—	3	1	no	—
573	C₂²×C₄	—	3	1	no	—
574	C₂²×C₄	—	3	8	no	—
575	C₂²×C₄	—	3	8	no	—
576	C₂²×C₄	—	3	4	no	—
577	C₂²×C₄	—	6	8	no	—
578	C₂²×C₄	—	6	8	no	—
579	C₂²×C₄	—	6	4	no	—
580	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
581	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
582	C₂²×C₄	C₂²×C₅×D₃	1	4	yes	—
583	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
584	C₄⋊C₄	—	3	4	no	—
585	C₄⋊C₄	—	3	8	no	—
586	C₄⋊C₄	C₂²×C₅×D₃	1	4	yes	—
587	C₂²⋊C₄	—	3	4	no	—
588	C₂²⋊C₄	—	3	4	no	—
589	C₂²⋊C₄	—	3	8	no	—
590	C₂²⋊C₄	C₂²×C₅×D₃	1	8	yes	—
591	C₄²	—	3	8	no	—
592	C₄²	—	3	4	no	—
593	C₃×C₅	C₂×#550	1	1	yes	characteristic, complemented, Hall
594	C₂²×C₃	—	2	4	no	—
595	C₂²×C₃	—	2	2	no	—
596	C₂²×C₃	—	2	2	no	—
597	C₂²×C₃	—	2	4	no	—
598	C₂²×C₃	—	2	4	no	—
599	C₂²×C₃	—	2	2	no	—
600	C₂²×C₃	—	4	8	no	—
601	C₂²×C₃	—	4	4	no	—
602	C₂²×C₃	C₂²×C₅×D₄	1	2	yes	—
603	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
604	C₂²×C₃	C₅×H(5,𝔽₂)	1	2	yes	—
605	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
606	C₂×D₃	—	2	4	no	—
607	C₂×D₃	—	2	2	no	—
608	C₂×D₃	—	2	4	no	—
609	C₂×D₃	—	2	2	no	—
610	C₂×D₃	—	2	2	no	—
611	C₂×D₃	—	2	4	no	—
612	C₂×D₃	—	4	8	no	—
613	C₂×D₃	—	4	4	no	—
614	C₃×C₄	—	2	2	no	—
615	C₃×C₄	—	2	4	no	—
616	C₃×C₄	C₂²×C₅×D₄	1	4	yes	—
617	Dic₃	—	2	2	no	—
618	Dic₃	—	2	2	no	—
619	Dic₃	C₂²×C₅×D₄	1	8	yes	—
620	Dic₃	C₂×C₅×#41	1	4	yes	complemented
621	C₂×C₅	—	4	2	no	—
622	C₂×C₅	—	4	4	no	—
623	C₂×C₅	—	12	4	no	—
624	C₂×C₅	—	12	2	no	—
625	C₂×C₅	#5599	1	4	yes	direct product factor
626	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
627	C₂×C₅	C₂×#1004	1	1	yes	characteristic
628	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
629	C₂³	—	2	2	no	—
630	C₂³	—	2	4	no	—
631	C₂³	—	2	2	no	—
632	C₂³	—	2	4	no	—
633	C₂³	—	2	2	no	—
634	C₂³	—	2	4	no	—
635	C₂³	—	3	2	no	—
636	C₂³	—	3	4	no	—
637	C₂³	—	6	4	no	—
638	C₂³	—	6	2	no	—
639	C₂³	—	6	2	no	—
640	C₂³	—	6	4	no	—
641	C₂³	—	6	2	no	—
642	C₂³	—	6	4	no	—
643	C₂³	C₂³×C₅×D₃	1	2	yes	—
644	C₂³	C₂³×C₅×D₃	1	4	yes	—
645	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
646	Q₈	—	3	16	no	—
647	D₄	—	2	8	no	—
648	D₄	—	4	8	no	—
649	D₄	—	6	16	no	—
650	D₄	—	6	16	no	—
651	D₄	—	6	8	no	—
652	D₄	—	6	16	no	—
653	D₄	—	6	8	no	—
654	D₄	—	12	8	no	—
655	D₄	—	12	8	no	—
656	C₂×C₄	—	2	2	no	—
657	C₂×C₄	—	2	4	no	—
658	C₂×C₄	—	2	8	no	—
659	C₂×C₄	—	3	8	no	—
660	C₂×C₄	—	3	4	no	—
661	C₂×C₄	—	3	2	no	—
662	C₂×C₄	—	3	4	no	—
663	C₂×C₄	—	3	2	no	—
664	C₂×C₄	—	3	2	no	—
665	C₂×C₄	—	6	16	no	—
666	C₂×C₄	—	6	16	no	—
667	C₂×C₄	—	6	2	no	—
668	C₂×C₄	—	6	2	no	—
669	C₂×C₄	—	6	8	no	—
670	C₂×C₄	C₅×D₃×D₄	1	4	yes	—
671	C₂×C₄	C₂³×C₅×D₃	1	4	yes	—
672	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
673	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
674	C₂×C₃	—	4	4	no	—
675	C₂×C₃	—	4	2	no	—
676	C₂×C₃	C₅×#550	1	4	yes	complemented
677	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
678	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
679	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
680	D₃	—	4	4	no	—
681	D₃	—	4	2	no	—
682	C₅	C₂×#5599	1	1	yes	characteristic, direct product factor, Sylow
683	C₂²	—	2	2	no	—
684	C₂²	—	2	4	no	—
685	C₂²	—	2	2	no	—
686	C₂²	—	2	4	no	—
687	C₂²	—	2	2	no	—
688	C₂²	—	2	4	no	—
689	C₂²	—	4	4	no	—
690	C₂²	—	4	8	no	—
691	C₂²	—	6	4	no	—
692	C₂²	—	6	2	no	—
693	C₂²	—	6	2	no	—
694	C₂²	—	6	4	no	—
695	C₂²	—	6	2	no	—
696	C₂²	—	6	4	no	—
697	C₂²	—	12	8	no	—
698	C₂²	—	12	4	no	—
699	C₂²	C₂×C₅×D₃×D₄	1	2	yes	—
700	C₂²	C₅×#1004	1	2	yes	—
701	C₂²	C₅×D₃×#41	1	2	yes	—
702	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
703	C₄	—	2	2	no	—
704	C₄	—	2	4	no	—
705	C₄	—	3	8	no	—
706	C₄	—	3	4	no	—
707	C₄	—	6	2	no	—
708	C₄	—	6	2	no	—
709	C₄	C₂×C₅×D₃×D₄	1	4	yes	—
710	C₃	C₂×C₅×#550	1	1	yes	characteristic, complemented, Sylow
711	C₂	—	4	2	no	—
712	C₂	—	4	4	no	—
713	C₂	—	12	4	no	—
714	C₂	—	12	2	no	—
715	C₂	C₅×#5599	1	4	yes	direct product factor
716	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic
717	C₂	C₂×C₅×#1004	1	1	yes	characteristic
718	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₅	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₂×C₃×C₅×#121	C₂
socle	C₂³×C₃×C₅	C₂⁴
hypercenter	C₂×C₅×#121	D₃
hypocenter	C₃	C₂×C₅×#550
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₅ ◁ C₂×C₅×#121

Complements

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

N	H ≅ G/N	type
1. C₂²×C₅×#237	C₂	semidirect
2. C₂²×C₅×#235	C₂	semidirect
3. C₂×C₃×C₅×#121	C₂	semidirect
4. C₂×C₅×#940	C₂	semidirect
5. C₂×C₅×#940	C₂	semidirect
6. C₂×C₅×#939	C₂	semidirect
7. C₂×C₄×C₅×#67	C₂	semidirect
8. C₅×#5599	C₂	direct (N × H)
9. C₂×C₅×#895	C₂	semidirect
10. C₂×C₅×#887	C₂	semidirect
11. C₂×C₅×#884	C₂	semidirect
12. C₂×C₅×#67⋊C₄	C₂	semidirect
24. C₂×C₅×#237	C₂²	semidirect
26. C₂×C₅×#235	C₂²	semidirect
32. C₃×C₅×#121	C₂²	semidirect
36. C₅×#940	C₂²	semidirect
37. C₅×#940	C₂²	semidirect
38. C₅×#939	C₂²	semidirect
39. C₄×C₅×#67	C₂²	semidirect
46. C₅×#895	C₂²	semidirect
47. C₅×#887	C₂²	semidirect
48. C₅×#884	C₂²	semidirect
49. C₅×#67⋊C₄	C₂²	semidirect
50. C₂×#5599	C₅	direct (N × H)
59. C₂×C₅×#121	D₃	semidirect
102. C₂×C₅×Dic₆	D₄	semidirect
113. C₂²×#237	C₂×C₅	semidirect
114. C₂²×#235	C₂×C₅	semidirect
115. C₂×C₃×#121	C₂×C₅	semidirect
116. C₂×#940	C₂×C₅	semidirect
117. C₂×#940	C₂×C₅	semidirect
118. C₂×#939	C₂×C₅	semidirect
119. C₂×C₄×#67	C₂×C₅	semidirect
120. #5599	C₂×C₅	direct (N × H)
121. C₂×#895	C₂×C₅	semidirect
122. C₂×#887	C₂×C₅	semidirect
123. C₂×#884	C₂×C₅	semidirect
124. C₂×#67⋊C₄	C₂×C₅	semidirect
148. C₅×#121	C₂×D₃	semidirect
197. C₂×C₅×Dic₃	#41	semidirect
206. C₅×Dic₆	C₂×D₄	semidirect
217. C₂×#237	C₂²×C₅	semidirect
219. C₂×#235	C₂²×C₅	semidirect
225. C₃×#121	C₂²×C₅	semidirect
229. #940	C₂²×C₅	semidirect
230. #940	C₂²×C₅	semidirect
231. #939	C₂²×C₅	semidirect
232. C₄×#67	C₂²×C₅	semidirect
239. #895	C₂²×C₅	semidirect
240. #887	C₂²×C₅	semidirect
241. #884	C₂²×C₅	semidirect
242. #67⋊C₄	C₂²×C₅	semidirect
301. C₂×#121	C₅×D₃	semidirect
331. C₅×Dic₃	C₂×#41	semidirect
371. C₂×Dic₆	C₅×D₄	semidirect
450. #121	C₂×C₅×D₃	semidirect
465. C₂×C₃×C₅	#550	semidirect
506. C₂×Dic₃	C₅×#41	semidirect
515. Dic₆	C₂×C₅×D₄	semidirect
593. C₃×C₅	C₂×#550	semidirect
620. Dic₃	C₂×C₅×#41	semidirect
625. C₂×C₅	#5599	direct (N × H)
676. C₂×C₃	C₅×#550	semidirect
682. C₅	C₂×#5599	direct (N × H)
710. C₃	C₂×C₅×#550	semidirect
715. C₂	C₅×#5599	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₅×#237	2
C₂²×C₅×#235	2
C₂×C₃×C₅×#121	2
C₂×C₅×#940	2
C₂×C₅×#939	2
C₂×C₄×C₅×#67	2
C₅×#5599	2
C₂×C₅×#895	2
C₂×C₅×#887	2
C₂×C₅×#884	2
C₂×C₅×#67⋊C₄	2
C₂×C₅×#550	3
C₂×#5599	5

Subgroups — C2×C5×#5599 #14482966

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#5599 #14482966