Subgroups — C₂×C₅×#5591 #14482475

Order 1920.

3800 conjugacy classes of subgroups.

The subgroup lattice has 1040 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×C₅×#67	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₅×#237	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×C₅×#120	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₅×#217	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#939	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₅×#939	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₅×#938	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₅×#937	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₅×D₄×Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#5591	C₂	1	16	yes	maximal, direct product factor
11	C₂×C₅×#886	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₅×#885	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₅×#883	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₅×#67⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₅×D₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₅×#878	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₅×#546	—	3	1	no	maximal, Hall
18	C₂⁵×C₃×C₅	C₂²	1	1	yes	characteristic
19	C₂⁴×C₅×D₃	C₂²	1	1	yes	characteristic
20	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
21	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
22	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
23	C₂²×C₅×#67	—	2	8	no	—
24	C₂²×C₅×#67	C₂²	1	1	yes	characteristic
25	C₂²×C₅×#67	C₂²	1	1	yes	characteristic
26	C₂²×C₅×#67	C₂²	1	1	yes	characteristic
27	C₂²×C₅×#67	C₂²	1	1	yes	characteristic
28	C₂²×C₅×#67	C₂²	1	8	yes	complemented
29	C₂²×C₅×#67	C₂²	1	1	yes	characteristic, complemented
30	C₂²×C₅×#67	C₂²	1	1	yes	characteristic, complemented
31	C₂³×C₅×Dic₃	C₂²	1	1	yes	characteristic
32	C₂³×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
33	C₂³×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
34	C₂³×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₅×#237	—	2	8	no	—
36	C₂×C₅×#237	C₂²	1	8	yes	complemented
37	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
38	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
40	C₃×C₅×#120	C₂²	1	8	yes	complemented
41	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₅×#217	C₂²	1	1	yes	characteristic
45	C₂×C₅×#217	C₂²	1	1	yes	characteristic
46	C₂×C₅×#217	C₂²	1	8	yes	complemented
47	C₂×C₅×#217	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₅×#217	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₅×#217	C₂²	1	1	yes	characteristic, complemented
50	C₅×#939	C₂²	1	8	yes	complemented
51	C₅×#939	C₂²	1	8	yes	complemented
52	C₅×#938	C₂²	1	8	yes	complemented
53	C₅×#937	C₂²	1	8	yes	complemented
54	C₅×D₄×Dic₃	C₂²	1	8	yes	complemented
55	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₅×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
64	C₅×#886	C₂²	1	8	yes	complemented
65	C₅×#885	C₂²	1	8	yes	complemented
66	C₅×#883	C₂²	1	8	yes	complemented
67	C₅×#67⋊C₄	C₂²	1	8	yes	complemented
68	C₅×D₃×C₂²⋊C₄	C₂²	1	8	yes	complemented
69	C₅×#878	C₂²	1	8	yes	complemented
70	C₂×#5591	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
71	C₂²×C₅×#41	—	3	1	no	—
72	C₂³×C₅×D₄	—	3	1	no	—
73	C₅×#546	—	3	16	no	—
74	C₂×C₅×#124	—	3	1	no	—
75	C₂×C₅×#123	—	3	1	no	—
76	C₂×C₅×#123	—	3	1	no	—
77	C₂×C₅×C₂²⋊Q₈	—	3	1	no	—
78	C₂×C₅×#121	—	3	1	no	—
79	C₂×C₅×#121	—	3	1	no	—
80	C₂×C₅×#121	—	3	1	no	—
81	C₂×C₅×#120	—	3	1	no	—
82	C₂×C₅×#120	D₃	1	1	yes	characteristic, complemented
83	C₂×C₄×C₅×D₄	—	3	1	no	—
84	C₂×C₄×C₅×D₄	—	3	1	no	—
85	C₂²×C₅×C₂²⋊C₄	—	3	1	no	—
86	C₂²×C₅×C₂²⋊C₄	—	3	1	no	—
87	C₂⁴×C₃×C₅	—	2	4	no	—
88	C₂⁴×C₃×C₅	—	2	4	no	—
89	C₂⁴×C₃×C₅	—	4	2	no	—
90	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
91	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
92	C₂⁴×C₃×C₅	C₂³	1	4	yes	—
93	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
94	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
95	C₂³×C₅×D₃	—	2	4	no	—
96	C₂³×C₅×D₃	—	2	4	no	—
97	C₂³×C₅×D₃	—	4	2	no	—
98	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
99	C₂³×C₅×D₃	C₂³	1	4	yes	—
100	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
101	C₂×C₃×C₅×D₄	—	2	4	no	—
102	C₂×C₃×C₅×D₄	—	2	4	no	—
103	C₂×C₃×C₅×D₄	—	4	2	no	—
104	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
105	C₂×C₃×C₅×D₄	C₂³	1	4	yes	complemented
106	C₂×C₃×C₅×D₄	C₂³	1	4	yes	complemented
107	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
108	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
109	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
110	C₂×C₅×#67	—	2	4	no	—
111	C₂×C₅×#67	—	2	4	no	—
112	C₂×C₅×#67	—	2	4	no	—
113	C₂×C₅×#67	—	2	32	no	—
114	C₂×C₅×#67	—	2	4	no	—
115	C₂×C₅×#67	—	4	2	no	—
116	C₂×C₅×#67	D₄	1	8	yes	complemented
117	C₂×C₅×#67	C₂³	1	4	yes	—
118	C₂×C₅×#67	C₂³	1	4	yes	—
119	C₂×C₅×#67	C₂³	1	4	yes	—
120	C₂×C₅×#67	C₂³	1	4	yes	—
121	C₂×C₅×#67	C₂³	1	4	yes	complemented
122	C₂×C₅×#67	C₂³	1	4	yes	complemented
123	C₂²×C₅×Dic₃	—	2	4	no	—
124	C₂²×C₅×Dic₃	—	2	4	no	—
125	C₂²×C₅×Dic₃	—	2	4	no	—
126	C₂²×C₅×Dic₃	—	4	2	no	—
127	C₂²×C₅×Dic₃	C₂³	1	4	yes	—
128	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
129	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
130	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
131	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
132	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
133	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
134	C₂²×C₅×Dic₃	C₂³	1	4	yes	complemented
135	C₂²×C₅×Dic₃	C₂³	1	4	yes	complemented
136	C₂²×C₅×Dic₃	C₂³	1	4	yes	complemented
137	C₅×#237	—	2	32	no	—
138	C₂×C₄×C₅×D₃	—	2	4	no	—
139	C₂×C₄×C₅×D₃	—	4	2	no	—
140	C₂×C₄×C₅×D₃	C₂³	1	4	yes	complemented
141	C₂×C₄×C₅×D₃	C₂³	1	4	yes	complemented
142	C₂×C₅×Dic₆	—	2	4	no	—
143	C₂×C₅×Dic₆	C₂³	1	4	yes	complemented
144	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
145	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
146	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
147	C₅×#217	C₂³	1	4	yes	—
148	C₅×#217	C₂³	1	4	yes	—
149	C₅×#217	C₂³	1	4	yes	complemented
150	C₅×#217	C₂³	1	4	yes	complemented
151	C₅×#217	C₂³	1	4	yes	complemented
152	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
153	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
154	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
155	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	complemented
156	C₅×C₄⋊Dic₃	C₂³	1	4	yes	complemented
157	C₅×C₄⋊Dic₃	C₂³	1	4	yes	complemented
158	C₅×Dic₃⋊C₄	C₂³	1	4	yes	complemented
159	C₅×Dic₃⋊C₄	C₂³	1	4	yes	complemented
160	C₄×C₅×Dic₃	C₂³	1	4	yes	complemented
161	C₂³×#67	C₂×C₅	1	1	yes	characteristic, complemented
162	C₂²×#237	C₂×C₅	1	1	yes	characteristic, complemented
163	C₂×C₃×#120	C₂×C₅	1	1	yes	characteristic, complemented
164	C₂²×#217	C₂×C₅	1	1	yes	characteristic, complemented
165	C₂×#939	C₂×C₅	1	1	yes	characteristic, complemented
166	C₂×#939	C₂×C₅	1	1	yes	characteristic, complemented
167	C₂×#938	C₂×C₅	1	1	yes	characteristic, complemented
168	C₂×#937	C₂×C₅	1	1	yes	characteristic, complemented
169	C₂×D₄×Dic₃	C₂×C₅	1	1	yes	characteristic, complemented
170	#5591	C₂×C₅	1	16	yes	direct product factor
171	C₂×#886	C₂×C₅	1	1	yes	characteristic, complemented
172	C₂×#885	C₂×C₅	1	1	yes	characteristic, complemented
173	C₂×#883	C₂×C₅	1	1	yes	characteristic, complemented
174	C₂×#67⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
175	C₂×D₃×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
176	C₂×#878	C₂×C₅	1	1	yes	characteristic, complemented
177	C₂⁵×C₅	—	3	1	no	—
178	C₂⁵×C₅	C₂×D₃	1	1	yes	characteristic
179	C₂×C₅×#41	—	3	8	no	—
180	C₂×C₅×#41	—	6	8	no	—
181	C₂²×C₅×Q₈	—	3	1	no	—
182	C₂²×C₅×D₄	—	3	1	no	—
183	C₂²×C₅×D₄	—	3	1	no	—
184	C₂²×C₅×D₄	—	3	1	no	—
185	C₂²×C₅×D₄	—	3	1	no	—
186	C₂²×C₅×D₄	—	3	1	no	—
187	C₂²×C₅×D₄	—	3	8	no	—
188	C₂²×C₅×D₄	—	3	1	no	—
189	C₂²×C₅×D₄	—	6	8	no	—
190	C₂²×C₅×D₄	C₂×D₃	1	1	yes	characteristic
191	C₂²×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
192	C₂²×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
193	C₂³×C₄×C₅	—	3	1	no	—
194	C₂³×C₄×C₅	—	3	1	no	—
195	C₂³×C₄×C₅	—	3	1	no	—
196	C₂³×C₄×C₅	—	3	1	no	—
197	C₂³×C₄×C₅	—	3	1	no	—
198	C₂³×C₄×C₅	—	3	1	no	—
199	C₅×#124	—	3	8	no	—
200	C₅×#123	—	3	8	no	—
201	C₅×#123	—	3	8	no	—
202	C₅×C₂²⋊Q₈	—	3	8	no	—
203	C₅×#121	—	3	8	no	—
204	C₅×#121	—	3	8	no	—
205	C₅×#121	—	3	8	no	—
206	C₅×#120	—	3	8	no	—
207	C₅×#120	C₂×D₃	1	8	yes	complemented
208	C₄×C₅×D₄	—	3	8	no	—
209	C₄×C₅×D₄	—	3	8	no	—
210	C₂×C₅×C₄⋊C₄	—	3	1	no	—
211	C₂×C₅×C₄⋊C₄	—	3	1	no	—
212	C₂×C₅×C₄⋊C₄	—	3	1	no	—
213	C₂×C₅×C₄⋊C₄	—	3	1	no	—
214	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
215	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
216	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
217	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
218	C₂×C₅×C₂²⋊C₄	—	3	8	no	—
219	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
220	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
221	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
222	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
223	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
224	C₂×C₅×C₂²⋊C₄	—	3	8	no	—
225	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
226	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
227	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
228	C₂×C₄²×C₅	—	3	1	no	—
229	C₂×#546	—	3	1	no	Sylow
230	C₂³×C₃×C₅	—	2	2	no	—
231	C₂³×C₃×C₅	—	2	2	no	—
232	C₂³×C₃×C₅	—	2	2	no	—
233	C₂³×C₃×C₅	—	2	2	no	—
234	C₂³×C₃×C₅	—	2	2	no	—
235	C₂³×C₃×C₅	—	2	8	no	—
236	C₂³×C₃×C₅	—	2	2	no	—
237	C₂³×C₃×C₅	—	2	2	no	—
238	C₂³×C₃×C₅	—	2	2	no	—
239	C₂³×C₃×C₅	—	2	8	no	—
240	C₂³×C₃×C₅	—	2	2	no	—
241	C₂³×C₃×C₅	—	2	2	no	—
242	C₂³×C₃×C₅	—	4	4	no	—
243	C₂³×C₃×C₅	—	4	16	no	—
244	C₂³×C₃×C₅	C₂×D₄	1	4	yes	—
245	C₂³×C₃×C₅	#41	1	4	yes	complemented
246	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
247	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
248	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
249	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
250	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
251	C₂²×C₅×D₃	—	2	2	no	—
252	C₂²×C₅×D₃	—	2	2	no	—
253	C₂²×C₅×D₃	—	2	2	no	—
254	C₂²×C₅×D₃	—	2	2	no	—
255	C₂²×C₅×D₃	—	2	8	no	—
256	C₂²×C₅×D₃	—	2	2	no	—
257	C₂²×C₅×D₃	—	2	8	no	—
258	C₂²×C₅×D₃	—	4	4	no	—
259	C₂²×C₅×D₃	—	4	16	no	—
260	C₂²×C₅×D₃	C₂×D₄	1	4	yes	—
261	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
262	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
263	C₃×C₅×D₄	—	2	8	no	—
264	C₃×C₅×D₄	—	2	8	no	—
265	C₃×C₅×D₄	—	4	4	no	—
266	C₂×C₃×C₄×C₅	—	2	2	no	—
267	C₂×C₃×C₄×C₅	—	2	2	no	—
268	C₂×C₃×C₄×C₅	—	2	2	no	—
269	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
270	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
271	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
272	C₅×#67	—	2	8	no	—
273	C₅×#67	—	2	8	no	—
274	C₅×#67	—	2	8	no	—
275	C₅×#67	—	2	8	no	—
276	C₅×#67	—	4	4	no	—
277	C₅×#67	C₂×D₄	1	16	yes	complemented
278	C₂×C₅×Dic₃	—	2	2	no	—
279	C₂×C₅×Dic₃	—	2	2	no	—
280	C₂×C₅×Dic₃	—	2	8	no	—
281	C₂×C₅×Dic₃	—	2	2	no	—
282	C₂×C₅×Dic₃	—	2	2	no	—
283	C₂×C₅×Dic₃	—	2	2	no	—
284	C₂×C₅×Dic₃	—	2	8	no	—
285	C₂×C₅×Dic₃	—	2	8	no	—
286	C₂×C₅×Dic₃	—	4	4	no	—
287	C₂×C₅×Dic₃	C₂×D₄	1	4	yes	—
288	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
289	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
290	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
291	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
292	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
293	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
294	C₄×C₅×D₃	—	2	8	no	—
295	C₄×C₅×D₃	—	4	4	no	—
296	C₅×Dic₆	—	2	8	no	—
297	C₂⁵×C₃	C₂²×C₅	1	1	yes	characteristic
298	C₂⁴×D₃	C₂²×C₅	1	1	yes	characteristic
299	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
300	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
301	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
302	C₂²×#67	—	2	8	no	—
303	C₂²×#67	C₂²×C₅	1	1	yes	characteristic
304	C₂²×#67	C₂²×C₅	1	1	yes	characteristic
305	C₂²×#67	C₂²×C₅	1	1	yes	characteristic
306	C₂²×#67	C₂²×C₅	1	1	yes	characteristic
307	C₂²×#67	C₂²×C₅	1	8	yes	complemented
308	C₂²×#67	C₂²×C₅	1	1	yes	characteristic, complemented
309	C₂²×#67	C₂²×C₅	1	1	yes	characteristic, complemented
310	C₂³×Dic₃	C₂²×C₅	1	1	yes	characteristic
311	C₂³×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
312	C₂³×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
313	C₂³×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
314	C₂×#237	—	2	8	no	—
315	C₂×#237	C₂²×C₅	1	8	yes	complemented
316	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
317	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
318	C₂²×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
319	C₃×#120	C₂²×C₅	1	8	yes	complemented
320	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
321	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
322	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
323	C₂×#217	C₂²×C₅	1	1	yes	characteristic
324	C₂×#217	C₂²×C₅	1	1	yes	characteristic
325	C₂×#217	C₂²×C₅	1	8	yes	complemented
326	C₂×#217	C₂²×C₅	1	1	yes	characteristic, complemented
327	C₂×#217	C₂²×C₅	1	1	yes	characteristic, complemented
328	C₂×#217	C₂²×C₅	1	1	yes	characteristic, complemented
329	#939	C₂²×C₅	1	8	yes	complemented
330	#939	C₂²×C₅	1	8	yes	complemented
331	#938	C₂²×C₅	1	8	yes	complemented
332	#937	C₂²×C₅	1	8	yes	complemented
333	D₄×Dic₃	C₂²×C₅	1	8	yes	complemented
334	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
335	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
336	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
337	C₂×(C₂×D₃)⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
338	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
339	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
340	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
341	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
342	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
343	#886	C₂²×C₅	1	8	yes	complemented
344	#885	C₂²×C₅	1	8	yes	complemented
345	#883	C₂²×C₅	1	8	yes	complemented
346	#67⋊C₄	C₂²×C₅	1	8	yes	complemented
347	D₃×C₂²⋊C₄	C₂²×C₅	1	8	yes	complemented
348	#878	C₂²×C₅	1	8	yes	complemented
349	C₂⁴×C₅	—	2	4	no	—
350	C₂⁴×C₅	—	2	4	no	—
351	C₂⁴×C₅	—	3	1	no	—
352	C₂⁴×C₅	—	3	1	no	—
353	C₂⁴×C₅	—	3	4	no	—
354	C₂⁴×C₅	—	4	2	no	—
355	C₂⁴×C₅	—	6	4	no	—
356	C₂⁴×C₅	—	6	4	no	—
357	C₂⁴×C₅	—	12	2	no	—
358	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
359	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
360	C₂⁴×C₅	C₂²×D₃	1	4	yes	—
361	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
362	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
363	C₅×#41	—	6	32	no	—
364	C₂×C₅×Q₈	—	3	4	no	—
365	C₂×C₅×Q₈	—	6	4	no	—
366	C₂×C₅×D₄	—	2	4	no	—
367	C₂×C₅×D₄	—	2	4	no	—
368	C₂×C₅×D₄	—	3	8	no	—
369	C₂×C₅×D₄	—	3	4	no	—
370	C₂×C₅×D₄	—	3	4	no	—
371	C₂×C₅×D₄	—	3	4	no	—
372	C₂×C₅×D₄	—	3	4	no	—
373	C₂×C₅×D₄	—	3	4	no	—
374	C₂×C₅×D₄	—	3	4	no	—
375	C₂×C₅×D₄	—	4	2	no	—
376	C₂×C₅×D₄	—	6	4	no	—
377	C₂×C₅×D₄	—	6	32	no	—
378	C₂×C₅×D₄	—	6	4	no	—
379	C₂×C₅×D₄	—	6	4	no	—
380	C₂×C₅×D₄	—	6	4	no	—
381	C₂×C₅×D₄	—	12	2	no	—
382	C₂×C₅×D₄	C₂²×D₃	1	4	yes	—
383	C₂×C₅×D₄	C₂²×D₃	1	4	yes	complemented
384	C₂×C₅×D₄	C₂²×D₃	1	4	yes	complemented
385	C₂²×C₄×C₅	—	3	1	no	—
386	C₂²×C₄×C₅	—	3	4	no	—
387	C₂²×C₄×C₅	—	3	4	no	—
388	C₂²×C₄×C₅	—	3	4	no	—
389	C₂²×C₄×C₅	—	3	1	no	—
390	C₂²×C₄×C₅	—	3	1	no	—
391	C₂²×C₄×C₅	—	3	1	no	—
392	C₂²×C₄×C₅	—	3	1	no	—
393	C₂²×C₄×C₅	—	3	1	no	—
394	C₂²×C₄×C₅	—	3	4	no	—
395	C₂²×C₄×C₅	—	3	4	no	—
396	C₂²×C₄×C₅	—	3	4	no	—
397	C₂²×C₄×C₅	—	6	4	no	—
398	C₂²×C₄×C₅	—	6	4	no	—
399	C₂²×C₄×C₅	—	6	4	no	—
400	C₂²×C₄×C₅	—	6	4	no	—
401	C₂²×C₄×C₅	—	12	2	no	—
402	C₂²×C₄×C₅	—	12	2	no	—
403	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
404	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
406	C₅×C₄⋊C₄	—	3	4	no	—
407	C₅×C₄⋊C₄	—	3	4	no	—
408	C₅×C₄⋊C₄	—	3	4	no	—
409	C₅×C₄⋊C₄	—	3	4	no	—
410	C₅×C₂²⋊C₄	—	3	4	no	—
411	C₅×C₂²⋊C₄	—	3	4	no	—
412	C₅×C₂²⋊C₄	—	3	4	no	—
413	C₅×C₂²⋊C₄	—	3	4	no	—
414	C₅×C₂²⋊C₄	—	3	4	no	—
415	C₅×C₂²⋊C₄	—	3	4	no	—
416	C₅×C₂²⋊C₄	—	3	4	no	—
417	C₅×C₂²⋊C₄	—	3	4	no	—
418	C₅×C₂²⋊C₄	—	3	4	no	—
419	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
420	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
421	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	complemented
422	C₄²×C₅	—	3	4	no	—
423	C₂²×#41	—	3	1	no	—
424	C₂³×D₄	—	3	1	no	—
425	#546	—	3	16	no	—
426	C₂×#124	—	3	1	no	—
427	C₂×#123	—	3	1	no	—
428	C₂×#123	—	3	1	no	—
429	C₂×C₂²⋊Q₈	—	3	1	no	—
430	C₂×#121	—	3	1	no	—
431	C₂×#121	—	3	1	no	—
432	C₂×#121	—	3	1	no	—
433	C₂×#120	—	3	1	no	—
434	C₂×#120	C₅×D₃	1	1	yes	characteristic, complemented
435	C₂×C₄×D₄	—	3	1	no	—
436	C₂×C₄×D₄	—	3	1	no	—
437	C₂²×C₂²⋊C₄	—	3	1	no	—
438	C₂²×C₂²⋊C₄	—	3	1	no	—
439	C₂²×C₃×C₅	—	2	8	no	—
440	C₂²×C₃×C₅	—	2	8	no	—
441	C₂²×C₃×C₅	—	2	2	no	—
442	C₂²×C₃×C₅	—	2	2	no	—
443	C₂²×C₃×C₅	—	2	2	no	—
444	C₂²×C₃×C₅	—	2	2	no	—
445	C₂²×C₃×C₅	—	2	2	no	—
446	C₂²×C₃×C₅	—	2	2	no	—
447	C₂²×C₃×C₅	—	2	2	no	—
448	C₂²×C₃×C₅	—	2	2	no	—
449	C₂²×C₃×C₅	—	2	2	no	—
450	C₂²×C₃×C₅	—	2	2	no	—
451	C₂²×C₃×C₅	—	4	16	no	—
452	C₂²×C₃×C₅	—	4	4	no	—
453	C₂²×C₃×C₅	—	4	4	no	—
454	C₂²×C₃×C₅	C₂²×D₄	1	4	yes	—
455	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
456	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
457	C₂²×C₃×C₅	C₂×#41	1	4	yes	complemented
458	C₂²×C₃×C₅	H(5,𝔽₂)	1	2	yes	—
459	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
460	C₂×C₅×D₃	—	2	8	no	—
461	C₂×C₅×D₃	—	2	2	no	—
462	C₂×C₅×D₃	—	2	2	no	—
463	C₂×C₅×D₃	—	2	2	no	—
464	C₂×C₅×D₃	—	2	2	no	—
465	C₂×C₅×D₃	—	2	2	no	—
466	C₂×C₅×D₃	—	4	16	no	—
467	C₂×C₅×D₃	—	4	4	no	—
468	C₂×C₅×D₃	C₂²×D₄	1	4	yes	—
469	C₃×C₄×C₅	—	2	2	no	—
470	C₃×C₄×C₅	—	2	2	no	—
471	C₃×C₄×C₅	—	2	2	no	—
472	C₅×Dic₃	—	2	2	no	—
473	C₅×Dic₃	—	2	2	no	—
474	C₅×Dic₃	—	2	2	no	—
475	C₅×Dic₃	—	2	2	no	—
476	C₅×Dic₃	—	2	2	no	—
477	C₅×Dic₃	C₂²×D₄	1	4	yes	—
478	C₂⁴×C₃	—	2	4	no	—
479	C₂⁴×C₃	—	2	4	no	—
480	C₂⁴×C₃	—	4	2	no	—
481	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
482	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
483	C₂⁴×C₃	C₂³×C₅	1	4	yes	—
484	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
485	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
486	C₂³×D₃	—	2	4	no	—
487	C₂³×D₃	—	2	4	no	—
488	C₂³×D₃	—	4	2	no	—
489	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
490	C₂³×D₃	C₂³×C₅	1	4	yes	—
491	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
492	C₂×C₃×D₄	—	2	4	no	—
493	C₂×C₃×D₄	—	2	4	no	—
494	C₂×C₃×D₄	—	4	2	no	—
495	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
496	C₂×C₃×D₄	C₂³×C₅	1	4	yes	complemented
497	C₂×C₃×D₄	C₂³×C₅	1	4	yes	complemented
498	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
499	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
500	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
501	C₂×#67	—	2	4	no	—
502	C₂×#67	—	2	4	no	—
503	C₂×#67	—	2	4	no	—
504	C₂×#67	—	2	32	no	—
505	C₂×#67	—	2	4	no	—
506	C₂×#67	—	4	2	no	—
507	C₂×#67	C₅×D₄	1	8	yes	complemented
508	C₂×#67	C₂³×C₅	1	4	yes	—
509	C₂×#67	C₂³×C₅	1	4	yes	—
510	C₂×#67	C₂³×C₅	1	4	yes	—
511	C₂×#67	C₂³×C₅	1	4	yes	—
512	C₂×#67	C₂³×C₅	1	4	yes	complemented
513	C₂×#67	C₂³×C₅	1	4	yes	complemented
514	C₂²×Dic₃	—	2	4	no	—
515	C₂²×Dic₃	—	2	4	no	—
516	C₂²×Dic₃	—	2	4	no	—
517	C₂²×Dic₃	—	4	2	no	—
518	C₂²×Dic₃	C₂³×C₅	1	4	yes	—
519	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
520	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
521	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
522	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
523	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
524	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
525	C₂²×Dic₃	C₂³×C₅	1	4	yes	complemented
526	C₂²×Dic₃	C₂³×C₅	1	4	yes	complemented
527	C₂²×Dic₃	C₂³×C₅	1	4	yes	complemented
528	#237	—	2	32	no	—
529	C₂×C₄×D₃	—	2	4	no	—
530	C₂×C₄×D₃	—	4	2	no	—
531	C₂×C₄×D₃	C₂³×C₅	1	4	yes	complemented
532	C₂×C₄×D₃	C₂³×C₅	1	4	yes	complemented
533	C₂×Dic₆	—	2	4	no	—
534	C₂×Dic₆	C₂³×C₅	1	4	yes	complemented
535	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
536	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	complemented
537	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	complemented
538	#217	C₂³×C₅	1	4	yes	—
539	#217	C₂³×C₅	1	4	yes	—
540	#217	C₂³×C₅	1	4	yes	complemented
541	#217	C₂³×C₅	1	4	yes	complemented
542	#217	C₂³×C₅	1	4	yes	complemented
543	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	complemented
544	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	complemented
545	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	complemented
546	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	complemented
547	C₄⋊Dic₃	C₂³×C₅	1	4	yes	complemented
548	C₄⋊Dic₃	C₂³×C₅	1	4	yes	complemented
549	Dic₃⋊C₄	C₂³×C₅	1	4	yes	complemented
550	Dic₃⋊C₄	C₂³×C₅	1	4	yes	complemented
551	C₄×Dic₃	C₂³×C₅	1	4	yes	complemented
552	C₂³×C₅	—	2	2	no	—
553	C₂³×C₅	—	2	2	no	—
554	C₂³×C₅	—	2	2	no	—
555	C₂³×C₅	—	2	2	no	—
556	C₂³×C₅	—	2	2	no	—
557	C₂³×C₅	—	2	8	no	—
558	C₂³×C₅	—	2	2	no	—
559	C₂³×C₅	—	2	2	no	—
560	C₂³×C₅	—	2	2	no	—
561	C₂³×C₅	—	2	8	no	—
562	C₂³×C₅	—	2	2	no	—
563	C₂³×C₅	—	2	2	no	—
564	C₂³×C₅	—	3	4	no	—
565	C₂³×C₅	—	3	2	no	—
566	C₂³×C₅	—	3	2	no	—
567	C₂³×C₅	—	4	4	no	—
568	C₂³×C₅	—	4	16	no	—
569	C₂³×C₅	—	6	8	no	—
570	C₂³×C₅	—	6	2	no	—
571	C₂³×C₅	—	6	2	no	—
572	C₂³×C₅	—	6	2	no	—
573	C₂³×C₅	—	6	2	no	—
574	C₂³×C₅	—	6	8	no	—
575	C₂³×C₅	—	6	2	no	—
576	C₂³×C₅	—	12	4	no	—
577	C₂³×C₅	—	12	16	no	—
578	C₂³×C₅	D₃×D₄	1	4	yes	—
579	C₂³×C₅	#237	1	4	yes	complemented
580	C₂³×C₅	C₂³×D₃	1	2	yes	—
581	C₂³×C₅	C₂³×D₃	1	2	yes	—
582	C₂³×C₅	C₂³×D₃	1	2	yes	—
583	C₂³×C₅	C₂³×D₃	1	2	yes	—
584	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
585	C₅×Q₈	—	6	8	no	—
586	C₅×D₄	—	2	8	no	—
587	C₅×D₄	—	2	8	no	—
588	C₅×D₄	—	3	16	no	—
589	C₅×D₄	—	4	4	no	—
590	C₅×D₄	—	6	8	no	—
591	C₅×D₄	—	6	8	no	—
592	C₅×D₄	—	6	8	no	—
593	C₅×D₄	—	6	8	no	—
594	C₅×D₄	—	12	4	no	—
595	C₂×C₄×C₅	—	2	2	no	—
596	C₂×C₄×C₅	—	2	2	no	—
597	C₂×C₄×C₅	—	2	2	no	—
598	C₂×C₄×C₅	—	3	4	no	—
599	C₂×C₄×C₅	—	3	2	no	—
600	C₂×C₄×C₅	—	3	2	no	—
601	C₂×C₄×C₅	—	3	2	no	—
602	C₂×C₄×C₅	—	3	2	no	—
603	C₂×C₄×C₅	—	3	2	no	—
604	C₂×C₄×C₅	—	3	2	no	—
605	C₂×C₄×C₅	—	6	8	no	—
606	C₂×C₄×C₅	—	6	8	no	—
607	C₂×C₄×C₅	—	6	8	no	—
608	C₂×C₄×C₅	—	6	2	no	—
609	C₂×C₄×C₅	—	6	2	no	—
610	C₂×C₄×C₅	—	6	2	no	—
611	C₂×C₄×C₅	—	6	8	no	—
612	C₂×C₄×C₅	—	6	2	no	—
613	C₂×C₄×C₅	—	6	2	no	—
614	C₂×C₄×C₅	—	12	4	no	—
615	C₂×C₄×C₅	—	12	4	no	—
616	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
617	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
618	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
619	C₂⁵	—	3	1	no	—
620	C₂⁵	C₂×C₅×D₃	1	1	yes	characteristic
621	C₂×#41	—	3	8	no	—
622	C₂×#41	—	6	8	no	—
623	C₂²×Q₈	—	3	1	no	—
624	C₂²×D₄	—	3	1	no	—
625	C₂²×D₄	—	3	1	no	—
626	C₂²×D₄	—	3	1	no	—
627	C₂²×D₄	—	3	1	no	—
628	C₂²×D₄	—	3	1	no	—
629	C₂²×D₄	—	3	8	no	—
630	C₂²×D₄	—	3	1	no	—
631	C₂²×D₄	—	6	8	no	—
632	C₂²×D₄	C₂×C₅×D₃	1	1	yes	characteristic
633	C₂²×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
634	C₂²×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
635	C₂³×C₄	—	3	1	no	—
636	C₂³×C₄	—	3	1	no	—
637	C₂³×C₄	—	3	1	no	—
638	C₂³×C₄	—	3	1	no	—
639	C₂³×C₄	—	3	1	no	—
640	C₂³×C₄	—	3	1	no	—
641	#124	—	3	8	no	—
642	#123	—	3	8	no	—
643	#123	—	3	8	no	—
644	C₂²⋊Q₈	—	3	8	no	—
645	#121	—	3	8	no	—
646	#121	—	3	8	no	—
647	#121	—	3	8	no	—
648	#120	—	3	8	no	—
649	#120	C₂×C₅×D₃	1	8	yes	complemented
650	C₄×D₄	—	3	8	no	—
651	C₄×D₄	—	3	8	no	—
652	C₂×C₄⋊C₄	—	3	1	no	—
653	C₂×C₄⋊C₄	—	3	1	no	—
654	C₂×C₄⋊C₄	—	3	1	no	—
655	C₂×C₄⋊C₄	—	3	1	no	—
656	C₂×C₂²⋊C₄	—	3	1	no	—
657	C₂×C₂²⋊C₄	—	3	1	no	—
658	C₂×C₂²⋊C₄	—	3	1	no	—
659	C₂×C₂²⋊C₄	—	3	1	no	—
660	C₂×C₂²⋊C₄	—	3	8	no	—
661	C₂×C₂²⋊C₄	—	3	1	no	—
662	C₂×C₂²⋊C₄	—	3	1	no	—
663	C₂×C₂²⋊C₄	—	3	1	no	—
664	C₂×C₂²⋊C₄	—	3	1	no	—
665	C₂×C₂²⋊C₄	—	3	1	no	—
666	C₂×C₂²⋊C₄	—	3	8	no	—
667	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
668	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
669	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
670	C₂×C₄²	—	3	1	no	—
671	C₂×C₃×C₅	—	2	4	no	—
672	C₂×C₃×C₅	—	2	4	no	—
673	C₂×C₃×C₅	—	4	2	no	—
674	C₂×C₃×C₅	—	4	2	no	—
675	C₂×C₃×C₅	#546	1	4	yes	complemented
676	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
677	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
678	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
679	C₅×D₃	—	2	4	no	—
680	C₅×D₃	—	4	2	no	—
681	C₂³×C₃	—	2	2	no	—
682	C₂³×C₃	—	2	2	no	—
683	C₂³×C₃	—	2	2	no	—
684	C₂³×C₃	—	2	2	no	—
685	C₂³×C₃	—	2	2	no	—
686	C₂³×C₃	—	2	8	no	—
687	C₂³×C₃	—	2	2	no	—
688	C₂³×C₃	—	2	2	no	—
689	C₂³×C₃	—	2	2	no	—
690	C₂³×C₃	—	2	8	no	—
691	C₂³×C₃	—	2	2	no	—
692	C₂³×C₃	—	2	2	no	—
693	C₂³×C₃	—	4	4	no	—
694	C₂³×C₃	—	4	16	no	—
695	C₂³×C₃	C₂×C₅×D₄	1	4	yes	—
696	C₂³×C₃	C₅×#41	1	4	yes	complemented
697	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
698	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
699	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
700	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
701	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
702	C₂²×D₃	—	2	2	no	—
703	C₂²×D₃	—	2	2	no	—
704	C₂²×D₃	—	2	2	no	—
705	C₂²×D₃	—	2	2	no	—
706	C₂²×D₃	—	2	8	no	—
707	C₂²×D₃	—	2	2	no	—
708	C₂²×D₃	—	2	8	no	—
709	C₂²×D₃	—	4	4	no	—
710	C₂²×D₃	—	4	16	no	—
711	C₂²×D₃	C₂×C₅×D₄	1	4	yes	—
712	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
713	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
714	C₃×D₄	—	2	8	no	—
715	C₃×D₄	—	2	8	no	—
716	C₃×D₄	—	4	4	no	—
717	C₂×C₃×C₄	—	2	2	no	—
718	C₂×C₃×C₄	—	2	2	no	—
719	C₂×C₃×C₄	—	2	2	no	—
720	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
721	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
722	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
723	#67	—	2	8	no	—
724	#67	—	2	8	no	—
725	#67	—	2	8	no	—
726	#67	—	2	8	no	—
727	#67	—	4	4	no	—
728	#67	C₂×C₅×D₄	1	16	yes	complemented
729	C₂×Dic₃	—	2	2	no	—
730	C₂×Dic₃	—	2	2	no	—
731	C₂×Dic₃	—	2	8	no	—
732	C₂×Dic₃	—	2	2	no	—
733	C₂×Dic₃	—	2	2	no	—
734	C₂×Dic₃	—	2	2	no	—
735	C₂×Dic₃	—	2	8	no	—
736	C₂×Dic₃	—	2	8	no	—
737	C₂×Dic₃	—	4	4	no	—
738	C₂×Dic₃	C₂×C₅×D₄	1	4	yes	—
739	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
740	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
741	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
742	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
743	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
744	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
745	C₄×D₃	—	2	8	no	—
746	C₄×D₃	—	4	4	no	—
747	Dic₆	—	2	8	no	—
748	C₂²×C₅	—	2	2	no	—
749	C₂²×C₅	—	2	2	no	—
750	C₂²×C₅	—	2	2	no	—
751	C₂²×C₅	—	2	2	no	—
752	C₂²×C₅	—	2	8	no	—
753	C₂²×C₅	—	2	8	no	—
754	C₂²×C₅	—	2	2	no	—
755	C₂²×C₅	—	2	2	no	—
756	C₂²×C₅	—	2	2	no	—
757	C₂²×C₅	—	2	2	no	—
758	C₂²×C₅	—	2	2	no	—
759	C₂²×C₅	—	2	2	no	—
760	C₂²×C₅	—	3	4	no	—
761	C₂²×C₅	—	4	16	no	—
762	C₂²×C₅	—	4	4	no	—
763	C₂²×C₅	—	4	4	no	—
764	C₂²×C₅	—	6	2	no	—
765	C₂²×C₅	—	6	2	no	—
766	C₂²×C₅	—	6	8	no	—
767	C₂²×C₅	—	6	2	no	—
768	C₂²×C₅	—	6	2	no	—
769	C₂²×C₅	—	6	2	no	—
770	C₂²×C₅	—	12	16	no	—
771	C₂²×C₅	—	12	4	no	—
772	C₂²×C₅	C₂×D₃×D₄	1	4	yes	—
773	C₂²×C₅	C₂×D₃×D₄	1	2	yes	—
774	C₂²×C₅	C₂×#237	1	2	yes	—
775	C₂²×C₅	C₂×#237	1	4	yes	complemented
776	C₂²×C₅	#1004	1	2	yes	—
777	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
778	C₄×C₅	—	2	2	no	—
779	C₄×C₅	—	2	2	no	—
780	C₄×C₅	—	2	2	no	—
781	C₄×C₅	—	3	4	no	—
782	C₄×C₅	—	6	2	no	—
783	C₄×C₅	—	6	2	no	—
784	C₄×C₅	—	6	2	no	—
785	C₄×C₅	—	6	2	no	—
786	C₄×C₅	—	6	2	no	—
787	C₂⁴	—	2	4	no	—
788	C₂⁴	—	2	4	no	—
789	C₂⁴	—	3	1	no	—
790	C₂⁴	—	3	1	no	—
791	C₂⁴	—	3	4	no	—
792	C₂⁴	—	4	2	no	—
793	C₂⁴	—	6	4	no	—
794	C₂⁴	—	6	4	no	—
795	C₂⁴	—	12	2	no	—
796	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
797	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
798	C₂⁴	C₂²×C₅×D₃	1	4	yes	—
799	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
800	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
801	#41	—	6	32	no	—
802	C₂×Q₈	—	3	4	no	—
803	C₂×Q₈	—	6	4	no	—
804	C₂×D₄	—	2	4	no	—
805	C₂×D₄	—	2	4	no	—
806	C₂×D₄	—	3	8	no	—
807	C₂×D₄	—	3	4	no	—
808	C₂×D₄	—	3	4	no	—
809	C₂×D₄	—	3	4	no	—
810	C₂×D₄	—	3	4	no	—
811	C₂×D₄	—	3	4	no	—
812	C₂×D₄	—	3	4	no	—
813	C₂×D₄	—	4	2	no	—
814	C₂×D₄	—	6	4	no	—
815	C₂×D₄	—	6	32	no	—
816	C₂×D₄	—	6	4	no	—
817	C₂×D₄	—	6	4	no	—
818	C₂×D₄	—	6	4	no	—
819	C₂×D₄	—	12	2	no	—
820	C₂×D₄	C₂²×C₅×D₃	1	4	yes	—
821	C₂×D₄	C₂²×C₅×D₃	1	4	yes	complemented
822	C₂×D₄	C₂²×C₅×D₃	1	4	yes	complemented
823	C₂²×C₄	—	3	1	no	—
824	C₂²×C₄	—	3	1	no	—
825	C₂²×C₄	—	3	1	no	—
826	C₂²×C₄	—	3	1	no	—
827	C₂²×C₄	—	3	1	no	—
828	C₂²×C₄	—	3	4	no	—
829	C₂²×C₄	—	3	1	no	—
830	C₂²×C₄	—	3	4	no	—
831	C₂²×C₄	—	3	4	no	—
832	C₂²×C₄	—	3	4	no	—
833	C₂²×C₄	—	3	4	no	—
834	C₂²×C₄	—	3	4	no	—
835	C₂²×C₄	—	6	4	no	—
836	C₂²×C₄	—	6	4	no	—
837	C₂²×C₄	—	6	4	no	—
838	C₂²×C₄	—	6	4	no	—
839	C₂²×C₄	—	12	2	no	—
840	C₂²×C₄	—	12	2	no	—
841	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
842	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
843	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
844	C₄⋊C₄	—	3	4	no	—
845	C₄⋊C₄	—	3	4	no	—
846	C₄⋊C₄	—	3	4	no	—
847	C₄⋊C₄	—	3	4	no	—
848	C₂²⋊C₄	—	3	4	no	—
849	C₂²⋊C₄	—	3	4	no	—
850	C₂²⋊C₄	—	3	4	no	—
851	C₂²⋊C₄	—	3	4	no	—
852	C₂²⋊C₄	—	3	4	no	—
853	C₂²⋊C₄	—	3	4	no	—
854	C₂²⋊C₄	—	3	4	no	—
855	C₂²⋊C₄	—	3	4	no	—
856	C₂²⋊C₄	—	3	4	no	—
857	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	—
858	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	complemented
859	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	complemented
860	C₄²	—	3	4	no	—
861	C₃×C₅	C₂×#546	1	1	yes	characteristic, complemented, Hall
862	C₂²×C₃	—	2	8	no	—
863	C₂²×C₃	—	2	8	no	—
864	C₂²×C₃	—	2	2	no	—
865	C₂²×C₃	—	2	2	no	—
866	C₂²×C₃	—	2	2	no	—
867	C₂²×C₃	—	2	2	no	—
868	C₂²×C₃	—	2	2	no	—
869	C₂²×C₃	—	2	2	no	—
870	C₂²×C₃	—	2	2	no	—
871	C₂²×C₃	—	2	2	no	—
872	C₂²×C₃	—	2	2	no	—
873	C₂²×C₃	—	2	2	no	—
874	C₂²×C₃	—	4	16	no	—
875	C₂²×C₃	—	4	4	no	—
876	C₂²×C₃	—	4	4	no	—
877	C₂²×C₃	C₂²×C₅×D₄	1	4	yes	—
878	C₂²×C₃	C₂²×C₅×D₄	1	2	yes	—
879	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
880	C₂²×C₃	C₂×C₅×#41	1	4	yes	complemented
881	C₂²×C₃	C₅×H(5,𝔽₂)	1	2	yes	—
882	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
883	C₂×D₃	—	2	8	no	—
884	C₂×D₃	—	2	2	no	—
885	C₂×D₃	—	2	2	no	—
886	C₂×D₃	—	2	2	no	—
887	C₂×D₃	—	2	2	no	—
888	C₂×D₃	—	2	2	no	—
889	C₂×D₃	—	4	16	no	—
890	C₂×D₃	—	4	4	no	—
891	C₂×D₃	C₂²×C₅×D₄	1	4	yes	—
892	C₃×C₄	—	2	2	no	—
893	C₃×C₄	—	2	2	no	—
894	C₃×C₄	—	2	2	no	—
895	Dic₃	—	2	2	no	—
896	Dic₃	—	2	2	no	—
897	Dic₃	—	2	2	no	—
898	Dic₃	—	2	2	no	—
899	Dic₃	—	2	2	no	—
900	Dic₃	C₂²×C₅×D₄	1	4	yes	—
901	C₂×C₅	—	2	4	no	—
902	C₂×C₅	—	2	4	no	—
903	C₂×C₅	—	4	2	no	—
904	C₂×C₅	—	4	2	no	—
905	C₂×C₅	—	6	4	no	—
906	C₂×C₅	—	12	2	no	—
907	C₂×C₅	#5591	1	4	yes	direct product factor
908	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
909	C₂×C₅	C₂²×#237	1	1	yes	characteristic
910	C₂×C₅	C₂×#1004	1	1	yes	characteristic
911	C₂³	—	2	2	no	—
912	C₂³	—	2	2	no	—
913	C₂³	—	2	2	no	—
914	C₂³	—	2	2	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	8	no	—
917	C₂³	—	2	2	no	—
918	C₂³	—	2	2	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	8	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	3	4	no	—
924	C₂³	—	3	2	no	—
925	C₂³	—	3	2	no	—
926	C₂³	—	4	4	no	—
927	C₂³	—	4	16	no	—
928	C₂³	—	6	8	no	—
929	C₂³	—	6	2	no	—
930	C₂³	—	6	2	no	—
931	C₂³	—	6	2	no	—
932	C₂³	—	6	2	no	—
933	C₂³	—	6	8	no	—
934	C₂³	—	6	2	no	—
935	C₂³	—	12	4	no	—
936	C₂³	—	12	16	no	—
937	C₂³	C₅×D₃×D₄	1	4	yes	—
938	C₂³	C₅×#237	1	4	yes	complemented
939	C₂³	C₂³×C₅×D₃	1	2	yes	—
940	C₂³	C₂³×C₅×D₃	1	2	yes	—
941	C₂³	C₂³×C₅×D₃	1	2	yes	—
942	C₂³	C₂³×C₅×D₃	1	2	yes	—
943	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
944	Q₈	—	6	8	no	—
945	D₄	—	2	8	no	—
946	D₄	—	2	8	no	—
947	D₄	—	3	16	no	—
948	D₄	—	4	4	no	—
949	D₄	—	6	8	no	—
950	D₄	—	6	8	no	—
951	D₄	—	6	8	no	—
952	D₄	—	6	8	no	—
953	D₄	—	12	4	no	—
954	C₂×C₄	—	2	2	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	3	4	no	—
958	C₂×C₄	—	3	2	no	—
959	C₂×C₄	—	3	2	no	—
960	C₂×C₄	—	3	2	no	—
961	C₂×C₄	—	3	2	no	—
962	C₂×C₄	—	3	2	no	—
963	C₂×C₄	—	3	2	no	—
964	C₂×C₄	—	6	8	no	—
965	C₂×C₄	—	6	8	no	—
966	C₂×C₄	—	6	8	no	—
967	C₂×C₄	—	6	2	no	—
968	C₂×C₄	—	6	2	no	—
969	C₂×C₄	—	6	2	no	—
970	C₂×C₄	—	6	8	no	—
971	C₂×C₄	—	6	2	no	—
972	C₂×C₄	—	6	2	no	—
973	C₂×C₄	—	12	4	no	—
974	C₂×C₄	—	12	4	no	—
975	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
976	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
977	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
978	C₂×C₃	—	2	4	no	—
979	C₂×C₃	—	2	4	no	—
980	C₂×C₃	—	4	2	no	—
981	C₂×C₃	—	4	2	no	—
982	C₂×C₃	C₅×#546	1	4	yes	complemented
983	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
984	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
985	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
986	D₃	—	2	4	no	—
987	D₃	—	4	2	no	—
988	C₅	C₂×#5591	1	1	yes	characteristic, direct product factor, Sylow
989	C₂²	—	2	2	no	—
990	C₂²	—	2	2	no	—
991	C₂²	—	2	2	no	—
992	C₂²	—	2	2	no	—
993	C₂²	—	2	8	no	—
994	C₂²	—	2	8	no	—
995	C₂²	—	2	2	no	—
996	C₂²	—	2	2	no	—
997	C₂²	—	2	2	no	—
998	C₂²	—	2	2	no	—
999	C₂²	—	2	2	no	—
1000	C₂²	—	2	2	no	—
1001	C₂²	—	3	4	no	—
1002	C₂²	—	4	16	no	—
1003	C₂²	—	4	4	no	—
1004	C₂²	—	4	4	no	—
1005	C₂²	—	6	2	no	—
1006	C₂²	—	6	2	no	—
1007	C₂²	—	6	8	no	—
1008	C₂²	—	6	2	no	—
1009	C₂²	—	6	2	no	—
1010	C₂²	—	6	2	no	—
1011	C₂²	—	12	16	no	—
1012	C₂²	—	12	4	no	—
1013	C₂²	C₂×C₅×D₃×D₄	1	4	yes	—
1014	C₂²	C₂×C₅×D₃×D₄	1	2	yes	—
1015	C₂²	C₂×C₅×#237	1	2	yes	—
1016	C₂²	C₂×C₅×#237	1	4	yes	complemented
1017	C₂²	C₅×#1004	1	2	yes	—
1018	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1019	C₄	—	2	2	no	—
1020	C₄	—	2	2	no	—
1021	C₄	—	2	2	no	—
1022	C₄	—	3	4	no	—
1023	C₄	—	6	2	no	—
1024	C₄	—	6	2	no	—
1025	C₄	—	6	2	no	—
1026	C₄	—	6	2	no	—
1027	C₄	—	6	2	no	—
1028	C₃	C₂×C₅×#546	1	1	yes	characteristic, complemented, Sylow
1029	C₂	—	2	4	no	—
1030	C₂	—	2	4	no	—
1031	C₂	—	4	2	no	—
1032	C₂	—	4	2	no	—
1033	C₂	—	6	4	no	—
1034	C₂	—	12	2	no	—
1035	C₂	C₅×#5591	1	4	yes	direct product factor
1036	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic
1037	C₂	C₂²×C₅×#237	1	1	yes	characteristic
1038	C₂	C₂×C₅×#1004	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×#120	C₂
socle	C₂³×C₃×C₅	C₂⁴
hypercenter	C₂×C₅×#120	D₃
hypocenter	C₃	C₂×C₅×#546
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₅ ◁ C₂×C₅×#120

Complements

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

N	H ≅ G/N	type
1. C₂³×C₅×#67	C₂	semidirect
2. C₂²×C₅×#237	C₂	semidirect
3. C₂×C₃×C₅×#120	C₂	semidirect
4. C₂²×C₅×#217	C₂	semidirect
5. C₂×C₅×#939	C₂	semidirect
6. C₂×C₅×#939	C₂	semidirect
7. C₂×C₅×#938	C₂	semidirect
8. C₂×C₅×#937	C₂	semidirect
9. C₂×C₅×D₄×Dic₃	C₂	semidirect
10. C₅×#5591	C₂	direct (N × H)
11. C₂×C₅×#886	C₂	semidirect
12. C₂×C₅×#885	C₂	semidirect
13. C₂×C₅×#883	C₂	semidirect
14. C₂×C₅×#67⋊C₄	C₂	semidirect
15. C₂×C₅×D₃×C₂²⋊C₄	C₂	semidirect
16. C₂×C₅×#878	C₂	semidirect
21. C₂²×C₃×C₅×D₄	C₂²	semidirect
22. C₂²×C₃×C₅×D₄	C₂²	semidirect
28. C₂²×C₅×#67	C₂²	semidirect
29. C₂²×C₅×#67	C₂²	semidirect
30. C₂²×C₅×#67	C₂²	semidirect
32. C₂³×C₅×Dic₃	C₂²	semidirect
33. C₂³×C₅×Dic₃	C₂²	semidirect
34. C₂³×C₅×Dic₃	C₂²	semidirect
36. C₂×C₅×#237	C₂²	semidirect
37. C₂²×C₄×C₅×D₃	C₂²	semidirect
38. C₂²×C₄×C₅×D₃	C₂²	semidirect
39. C₂²×C₅×Dic₆	C₂²	semidirect
40. C₃×C₅×#120	C₂²	semidirect
42. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
43. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
46. C₂×C₅×#217	C₂²	semidirect
47. C₂×C₅×#217	C₂²	semidirect
48. C₂×C₅×#217	C₂²	semidirect
49. C₂×C₅×#217	C₂²	semidirect
50. C₅×#939	C₂²	semidirect
51. C₅×#939	C₂²	semidirect
52. C₅×#938	C₂²	semidirect
53. C₅×#937	C₂²	semidirect
54. C₅×D₄×Dic₃	C₂²	semidirect
55. C₂×C₅×(C₂×D₃)⋊C₄	C₂²	semidirect
56. C₂×C₅×(C₂×D₃)⋊C₄	C₂²	semidirect
57. C₂×C₅×(C₂×D₃)⋊C₄	C₂²	semidirect
58. C₂×C₅×(C₂×D₃)⋊C₄	C₂²	semidirect
59. C₂×C₅×C₄⋊Dic₃	C₂²	semidirect
60. C₂×C₅×C₄⋊Dic₃	C₂²	semidirect
61. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
62. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
63. C₂×C₄×C₅×Dic₃	C₂²	semidirect
64. C₅×#886	C₂²	semidirect
65. C₅×#885	C₂²	semidirect
66. C₅×#883	C₂²	semidirect
67. C₅×#67⋊C₄	C₂²	semidirect
68. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
69. C₅×#878	C₂²	semidirect
70. C₂×#5591	C₅	direct (N × H)
82. C₂×C₅×#120	D₃	semidirect
105. C₂×C₃×C₅×D₄	C₂³	semidirect
106. C₂×C₃×C₅×D₄	C₂³	semidirect
116. C₂×C₅×#67	D₄	semidirect
121. C₂×C₅×#67	C₂³	semidirect
122. C₂×C₅×#67	C₂³	semidirect
134. C₂²×C₅×Dic₃	C₂³	semidirect
135. C₂²×C₅×Dic₃	C₂³	semidirect
136. C₂²×C₅×Dic₃	C₂³	semidirect
140. C₂×C₄×C₅×D₃	C₂³	semidirect
141. C₂×C₄×C₅×D₃	C₂³	semidirect
143. C₂×C₅×Dic₆	C₂³	semidirect
145. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
146. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
149. C₅×#217	C₂³	semidirect
150. C₅×#217	C₂³	semidirect
151. C₅×#217	C₂³	semidirect
152. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
153. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
154. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
155. C₅×(C₂×D₃)⋊C₄	C₂³	semidirect
156. C₅×C₄⋊Dic₃	C₂³	semidirect
157. C₅×C₄⋊Dic₃	C₂³	semidirect
158. C₅×Dic₃⋊C₄	C₂³	semidirect
159. C₅×Dic₃⋊C₄	C₂³	semidirect
160. C₄×C₅×Dic₃	C₂³	semidirect
161. C₂³×#67	C₂×C₅	semidirect
162. C₂²×#237	C₂×C₅	semidirect
163. C₂×C₃×#120	C₂×C₅	semidirect
164. C₂²×#217	C₂×C₅	semidirect
165. C₂×#939	C₂×C₅	semidirect
166. C₂×#939	C₂×C₅	semidirect
167. C₂×#938	C₂×C₅	semidirect
168. C₂×#937	C₂×C₅	semidirect
169. C₂×D₄×Dic₃	C₂×C₅	semidirect
170. #5591	C₂×C₅	direct (N × H)
171. C₂×#886	C₂×C₅	semidirect
172. C₂×#885	C₂×C₅	semidirect
173. C₂×#883	C₂×C₅	semidirect
174. C₂×#67⋊C₄	C₂×C₅	semidirect
175. C₂×D₃×C₂²⋊C₄	C₂×C₅	semidirect
176. C₂×#878	C₂×C₅	semidirect
191. C₂²×C₅×D₄	C₂×D₃	semidirect
192. C₂²×C₅×D₄	C₂×D₃	semidirect
207. C₅×#120	C₂×D₃	semidirect
226. C₂×C₅×C₂²⋊C₄	C₂×D₃	semidirect
227. C₂×C₅×C₂²⋊C₄	C₂×D₃	semidirect
245. C₂³×C₃×C₅	#41	semidirect
277. C₅×#67	C₂×D₄	semidirect
300. C₂²×C₃×D₄	C₂²×C₅	semidirect
301. C₂²×C₃×D₄	C₂²×C₅	semidirect
307. C₂²×#67	C₂²×C₅	semidirect
308. C₂²×#67	C₂²×C₅	semidirect
309. C₂²×#67	C₂²×C₅	semidirect
311. C₂³×Dic₃	C₂²×C₅	semidirect
312. C₂³×Dic₃	C₂²×C₅	semidirect
313. C₂³×Dic₃	C₂²×C₅	semidirect
315. C₂×#237	C₂²×C₅	semidirect
316. C₂²×C₄×D₃	C₂²×C₅	semidirect
317. C₂²×C₄×D₃	C₂²×C₅	semidirect
318. C₂²×Dic₆	C₂²×C₅	semidirect
319. C₃×#120	C₂²×C₅	semidirect
321. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
322. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
325. C₂×#217	C₂²×C₅	semidirect
326. C₂×#217	C₂²×C₅	semidirect
327. C₂×#217	C₂²×C₅	semidirect
328. C₂×#217	C₂²×C₅	semidirect
329. #939	C₂²×C₅	semidirect
330. #939	C₂²×C₅	semidirect
331. #938	C₂²×C₅	semidirect
332. #937	C₂²×C₅	semidirect
333. D₄×Dic₃	C₂²×C₅	semidirect
334. C₂×(C₂×D₃)⋊C₄	C₂²×C₅	semidirect
335. C₂×(C₂×D₃)⋊C₄	C₂²×C₅	semidirect
336. C₂×(C₂×D₃)⋊C₄	C₂²×C₅	semidirect
337. C₂×(C₂×D₃)⋊C₄	C₂²×C₅	semidirect
338. C₂×C₄⋊Dic₃	C₂²×C₅	semidirect
339. C₂×C₄⋊Dic₃	C₂²×C₅	semidirect
340. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
341. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
342. C₂×C₄×Dic₃	C₂²×C₅	semidirect
343. #886	C₂²×C₅	semidirect
344. #885	C₂²×C₅	semidirect
345. #883	C₂²×C₅	semidirect
346. #67⋊C₄	C₂²×C₅	semidirect
347. D₃×C₂²⋊C₄	C₂²×C₅	semidirect
348. #878	C₂²×C₅	semidirect
383. C₂×C₅×D₄	C₂²×D₃	semidirect
384. C₂×C₅×D₄	C₂²×D₃	semidirect
420. C₅×C₂²⋊C₄	C₂²×D₃	semidirect
421. C₅×C₂²⋊C₄	C₂²×D₃	semidirect
434. C₂×#120	C₅×D₃	semidirect
457. C₂²×C₃×C₅	C₂×#41	semidirect
496. C₂×C₃×D₄	C₂³×C₅	semidirect
497. C₂×C₃×D₄	C₂³×C₅	semidirect
507. C₂×#67	C₅×D₄	semidirect
512. C₂×#67	C₂³×C₅	semidirect
513. C₂×#67	C₂³×C₅	semidirect
525. C₂²×Dic₃	C₂³×C₅	semidirect
526. C₂²×Dic₃	C₂³×C₅	semidirect
527. C₂²×Dic₃	C₂³×C₅	semidirect
531. C₂×C₄×D₃	C₂³×C₅	semidirect
532. C₂×C₄×D₃	C₂³×C₅	semidirect
534. C₂×Dic₆	C₂³×C₅	semidirect
536. C₃×C₂²⋊C₄	C₂³×C₅	semidirect
537. C₃×C₂²⋊C₄	C₂³×C₅	semidirect
540. #217	C₂³×C₅	semidirect
541. #217	C₂³×C₅	semidirect
542. #217	C₂³×C₅	semidirect
543. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
544. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
545. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
546. (C₂×D₃)⋊C₄	C₂³×C₅	semidirect
547. C₄⋊Dic₃	C₂³×C₅	semidirect
548. C₄⋊Dic₃	C₂³×C₅	semidirect
549. Dic₃⋊C₄	C₂³×C₅	semidirect
550. Dic₃⋊C₄	C₂³×C₅	semidirect
551. C₄×Dic₃	C₂³×C₅	semidirect
579. C₂³×C₅	#237	semidirect
633. C₂²×D₄	C₂×C₅×D₃	semidirect
634. C₂²×D₄	C₂×C₅×D₃	semidirect
649. #120	C₂×C₅×D₃	semidirect
668. C₂×C₂²⋊C₄	C₂×C₅×D₃	semidirect
669. C₂×C₂²⋊C₄	C₂×C₅×D₃	semidirect
675. C₂×C₃×C₅	#546	semidirect
696. C₂³×C₃	C₅×#41	semidirect
728. #67	C₂×C₅×D₄	semidirect
775. C₂²×C₅	C₂×#237	semidirect
821. C₂×D₄	C₂²×C₅×D₃	semidirect
822. C₂×D₄	C₂²×C₅×D₃	semidirect
858. C₂²⋊C₄	C₂²×C₅×D₃	semidirect
859. C₂²⋊C₄	C₂²×C₅×D₃	semidirect
861. C₃×C₅	C₂×#546	semidirect
880. C₂²×C₃	C₂×C₅×#41	semidirect
907. C₂×C₅	#5591	direct (N × H)
938. C₂³	C₅×#237	semidirect
982. C₂×C₃	C₅×#546	semidirect
988. C₅	C₂×#5591	direct (N × H)
1016. C₂²	C₂×C₅×#237	semidirect
1028. C₃	C₂×C₅×#546	semidirect
1035. C₂	C₅×#5591	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×C₅×#67	2
C₂²×C₅×#237	2
C₂×C₃×C₅×#120	2
C₂²×C₅×#217	2
C₂×C₅×#939	2
C₂×C₅×#938	2
C₂×C₅×#937	2
C₂×C₅×D₄×Dic₃	2
C₅×#5591	2
C₂×C₅×#886	2
C₂×C₅×#885	2
C₂×C₅×#883	2
C₂×C₅×#67⋊C₄	2
C₂×C₅×D₃×C₂²⋊C₄	2
C₂×C₅×#878	2
C₂×C₅×#546	3
C₂×#5591	5

Subgroups — C2×C5×#5591 #14482475

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#5591 #14482475