Subgroups — C₃×D₄×#711 #14483031

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	C₂²×C₃×#711	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66140	C₂	1	2	yes	maximal, complemented
4	C₃×D₄×C₂²⋊D₅	C₂	1	2	yes	maximal, complemented
5	C₂×C₃×D₄×Dic₅	C₂	1	2	yes	maximal, complemented
6	C₃×#66052	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#66050	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#65945	C₂	1	2	yes	maximal, complemented
9	C₃×#65940	C₂	1	2	yes	maximal, complemented
10	C₃×#65932	C₂	1	2	yes	maximal, complemented
11	C₃×#65930	C₂	1	2	yes	maximal, complemented
12	C₃×#65925	C₂	1	4	yes	maximal, complemented
13	C₃×#65920	C₂	1	4	yes	maximal, complemented
14	C₃×#65889	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×D₄×Dic₁₀	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₄×#711	C₂	1	1	yes	maximal, characteristic, complemented
18	D₄×#711	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
19	C₂²×C₃×C₅×D₄	C₂²	1	2	yes	—
20	C₂²×C₃×C₅×D₄	C₂²	1	2	yes	complemented
21	C₂²×C₃×C₂²⋊D₅	C₂²	1	4	yes	complemented
22	C₂³×C₃×Dic₅	C₂²	1	4	yes	complemented
23	C₂×C₃×#711	—	2	16	no	—
24	C₂×C₃×#711	C₂²	1	1	yes	characteristic
25	C₂×C₃×#711	C₂²	1	2	yes	complemented
26	C₂×C₃×#711	C₂²	1	4	yes	complemented
27	C₂×C₃×#711	C₂²	1	4	yes	complemented
28	C₂×C₃×#711	C₂²	1	2	yes	complemented
29	C₂×C₃×#711	C₂²	1	2	yes	complemented
30	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
31	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
32	C₂²×C₃×Dic₁₀	C₂²	1	2	yes	complemented
33	C₃×C₅×#127	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#121	C₂²	1	2	yes	complemented
35	C₃×C₅×#121	C₂²	1	2	yes	complemented
36	C₃×C₅×#120	C₂²	1	4	yes	complemented
37	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
38	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₃×#4099	C₂²	1	4	yes	complemented
40	C₂×C₃×C₂²⋊Dic₅	C₂²	1	4	yes	complemented
41	C₃×#4086	C₂²	1	2	yes	complemented
42	C₃×#4085	C₂²	1	4	yes	complemented
43	C₃×#4085	C₂²	1	4	yes	complemented
44	C₃×#4085	C₂²	1	4	yes	complemented
45	C₃×#4084	C₂²	1	2	yes	complemented
46	C₃×#4084	C₂²	1	2	yes	complemented
47	C₃×#4084	C₂²	1	2	yes	complemented
48	C₃×#4083	C₂²	1	4	yes	complemented
49	C₃×#4082	C₂²	1	2	yes	complemented
50	C₃×#4081	C₂²	1	4	yes	complemented
51	C₃×D₄×Dic₅	C₂²	1	2	yes	—
52	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic
53	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
54	C₃×D₄×Dic₅	C₂²	1	4	yes	complemented
55	C₃×D₄×Dic₅	C₂²	1	4	yes	complemented
56	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
57	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
58	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
59	C₃×#4076	C₂²	1	2	yes	complemented
60	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
61	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
62	C₂×C₃×C₄⋊Dic₅	C₂²	1	2	yes	complemented
63	C₃×#4070	C₂²	1	2	yes	complemented
64	C₂×C₃×C₄×Dic₅	C₂²	1	2	yes	complemented
65	C₃×#4043	C₂²	1	2	yes	complemented
66	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
67	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
68	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
69	C₃×#4034	C₂²	1	2	yes	complemented
70	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
71	C₃×#4032	C₂²	1	4	yes	complemented
72	C₃×#4031	C₂²	1	4	yes	complemented
73	C₃×#4029	C₂²	1	4	yes	complemented
74	C₃×#4027	C₂²	1	2	yes	complemented
75	C₃×#4027	C₂²	1	2	yes	complemented
76	C₃×#4027	C₂²	1	4	yes	complemented
77	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
78	C₃×#4024	C₂²	1	4	yes	complemented
79	C₃×#4024	C₂²	1	4	yes	complemented
80	C₃×#4023	C₂²	1	2	yes	complemented
81	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
82	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
83	C₃×#4015	C₂²	1	1	yes	characteristic, complemented
84	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
85	C₃×D₄×#41	—	5	1	no	maximal, Hall
86	C₂²×#711	C₂×C₃	1	2	yes	complemented
87	C₅×D₄²	C₂×C₃	1	1	yes	characteristic, complemented
88	#66140	C₂×C₃	1	2	yes	complemented
89	D₄×C₂²⋊D₅	C₂×C₃	1	2	yes	complemented
90	C₂×D₄×Dic₅	C₂×C₃	1	2	yes	complemented
91	#66052	C₂×C₃	1	1	yes	characteristic, complemented
92	#66050	C₂×C₃	1	1	yes	characteristic, complemented
93	#65945	C₂×C₃	1	2	yes	complemented
94	#65940	C₂×C₃	1	2	yes	complemented
95	#65932	C₂×C₃	1	2	yes	complemented
96	#65930	C₂×C₃	1	2	yes	complemented
97	#65925	C₂×C₃	1	4	yes	complemented
98	#65920	C₂×C₃	1	4	yes	complemented
99	#65889	C₂×C₃	1	1	yes	characteristic, complemented
100	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
101	D₄×Dic₁₀	C₂×C₃	1	1	yes	characteristic, complemented
102	C₄×#711	C₂×C₃	1	1	yes	characteristic, complemented
103	C₂⁴×C₃×C₅	C₂³	1	4	yes	—
104	C₂³×C₃×D₅	C₂³	1	2	yes	—
105	C₂×C₃×C₅×D₄	—	2	8	no	—
106	C₂×C₃×C₅×D₄	—	2	8	no	—
107	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
108	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
109	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
110	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
111	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
112	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
113	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
114	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
115	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
116	C₂×C₃×C₂²⋊D₅	—	2	16	no	—
117	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
118	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
119	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
120	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
121	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
122	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
123	C₂²×C₃×Dic₅	—	2	16	no	—
124	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
125	C₂²×C₃×Dic₅	C₂³	1	4	yes	—
126	C₂²×C₃×Dic₅	C₂³	1	4	yes	—
127	C₂²×C₃×Dic₅	C₂³	1	4	yes	—
128	C₂²×C₃×Dic₅	C₂³	1	4	yes	—
129	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
130	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
131	C₃×#711	—	2	8	no	—
132	C₃×#711	—	2	16	no	—
133	C₃×#711	—	2	16	no	—
134	C₃×#711	—	2	8	no	—
135	C₃×#711	—	2	8	no	—
136	C₃×#711	D₄	1	8	yes	direct product factor
137	C₃×D₄×D₅	—	2	4	no	—
138	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
139	C₂×C₃×C₄×D₅	—	2	8	no	—
140	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
141	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
142	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
143	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
144	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
145	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
146	C₂×C₃×Dic₁₀	—	2	8	no	—
147	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
148	C₂×C₃×Dic₁₀	C₂³	1	4	yes	—
149	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
150	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
153	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
154	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
155	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
156	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
157	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
158	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
159	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
160	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
161	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
162	C₃×#685	C₂³	1	2	yes	—
163	C₃×#685	C₂³	1	4	yes	—
164	C₃×#685	C₂³	1	2	yes	—
165	C₃×#685	C₂³	1	2	yes	—
166	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
167	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
168	C₃×C₄⋊Dic₅	C₂³	1	4	yes	—
169	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
170	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
171	C₃×#683	C₂³	1	2	yes	—
172	C₃×#683	C₂³	1	4	yes	—
173	C₃×#683	C₂³	1	2	yes	—
174	C₃×#683	C₂³	1	2	yes	—
175	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
176	C₃×C₄×Dic₅	C₂³	1	2	yes	—
177	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
178	C₃×C₄×Dic₅	C₂³	1	2	yes	—
179	C₃×C₄×Dic₅	C₂³	1	2	yes	—
180	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
181	C₂²×C₃×#41	—	5	2	no	—
182	C₃×#550	—	5	1	no	—
183	C₃×D₄×Q₈	—	5	1	no	—
184	C₃×#548	—	5	2	no	—
185	C₃×#547	—	5	2	no	—
186	C₃×#547	—	5	1	no	—
187	C₃×#546	—	5	2	no	—
188	C₃×#546	—	5	4	no	—
189	C₃×D₄²	—	5	2	no	—
190	C₃×D₄²	D₅	1	1	yes	characteristic, complemented
191	C₃×#532	—	5	1	no	—
192	C₃×#532	—	5	2	no	—
193	C₃×#525	—	5	2	no	—
194	C₃×#525	—	5	4	no	—
195	C₃×C₄×#41	—	5	1	no	—
196	C₂×C₃×C₄×D₄	—	5	2	no	—
197	C₂×C₃×C₄×D₄	—	5	1	no	—
198	C₂²×C₅×D₄	C₂²×C₃	1	2	yes	—
199	C₂²×C₅×D₄	C₂²×C₃	1	2	yes	complemented
200	C₂²×C₂²⋊D₅	C₂²×C₃	1	4	yes	complemented
201	C₂³×Dic₅	C₂²×C₃	1	4	yes	complemented
202	C₂×#711	—	2	16	no	—
203	C₂×#711	C₂²×C₃	1	1	yes	characteristic
204	C₂×#711	C₂²×C₃	1	2	yes	complemented
205	C₂×#711	C₂²×C₃	1	2	yes	complemented
206	C₂×#711	C₂²×C₃	1	2	yes	complemented
207	C₂×#711	C₂²×C₃	1	4	yes	complemented
208	C₂×#711	C₂²×C₃	1	4	yes	complemented
209	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
211	C₂²×Dic₁₀	C₂²×C₃	1	2	yes	complemented
212	C₅×#127	C₂²×C₃	1	1	yes	characteristic, complemented
213	C₅×#121	C₂²×C₃	1	2	yes	complemented
214	C₅×#121	C₂²×C₃	1	2	yes	complemented
215	C₅×#120	C₂²×C₃	1	4	yes	complemented
216	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
217	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
218	#4099	C₂²×C₃	1	4	yes	complemented
219	C₂×C₂²⋊Dic₅	C₂²×C₃	1	4	yes	complemented
220	#4086	C₂²×C₃	1	2	yes	complemented
221	#4085	C₂²×C₃	1	4	yes	complemented
222	#4085	C₂²×C₃	1	4	yes	complemented
223	#4085	C₂²×C₃	1	4	yes	complemented
224	#4084	C₂²×C₃	1	2	yes	complemented
225	#4084	C₂²×C₃	1	2	yes	complemented
226	#4084	C₂²×C₃	1	2	yes	complemented
227	#4083	C₂²×C₃	1	4	yes	complemented
228	#4082	C₂²×C₃	1	2	yes	complemented
229	#4081	C₂²×C₃	1	4	yes	complemented
230	D₄×Dic₅	C₂²×C₃	1	2	yes	—
231	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic
232	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
233	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
234	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
235	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
236	D₄×Dic₅	C₂²×C₃	1	4	yes	complemented
237	D₄×Dic₅	C₂²×C₃	1	4	yes	complemented
238	#4076	C₂²×C₃	1	2	yes	complemented
239	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
240	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
241	C₂×C₄⋊Dic₅	C₂²×C₃	1	2	yes	complemented
242	#4070	C₂²×C₃	1	2	yes	complemented
243	C₂×C₄×Dic₅	C₂²×C₃	1	2	yes	complemented
244	#4043	C₂²×C₃	1	2	yes	complemented
245	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
246	#4038	C₂²×C₃	1	1	yes	characteristic, complemented
247	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
248	#4034	C₂²×C₃	1	2	yes	complemented
249	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
250	#4032	C₂²×C₃	1	4	yes	complemented
251	#4031	C₂²×C₃	1	4	yes	complemented
252	#4029	C₂²×C₃	1	4	yes	complemented
253	#4027	C₂²×C₃	1	2	yes	complemented
254	#4027	C₂²×C₃	1	2	yes	complemented
255	#4027	C₂²×C₃	1	4	yes	complemented
256	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
257	#4024	C₂²×C₃	1	4	yes	complemented
258	#4024	C₂²×C₃	1	4	yes	complemented
259	#4023	C₂²×C₃	1	2	yes	complemented
260	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
261	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
262	#4015	C₂²×C₃	1	1	yes	characteristic, complemented
263	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
264	D₄×#41	—	5	1	no	Sylow
265	C₂³×C₃×C₅	—	2	8	no	—
266	C₂³×C₃×C₅	—	2	8	no	—
267	C₂³×C₃×C₅	—	4	4	no	—
268	C₂³×C₃×C₅	C₂⁴	1	4	yes	—
269	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
270	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
271	C₂²×C₃×D₅	—	2	4	no	—
272	C₂²×C₃×D₅	—	2	4	no	—
273	C₂²×C₃×D₅	—	4	2	no	—
274	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
275	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
276	C₃×C₅×D₄	—	2	8	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	C₃×C₅×D₄	C₂×D₄	1	4	yes	complemented
282	C₃×C₅×D₄	#41	1	4	yes	complemented
283	C₂×C₃×C₄×C₅	—	2	4	no	—
284	C₂×C₃×C₄×C₅	—	2	4	no	—
285	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
286	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
287	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
288	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
289	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
290	C₃×C₂²⋊D₅	—	2	8	no	—
291	C₃×C₂²⋊D₅	—	2	4	no	—
292	C₃×C₂²⋊D₅	—	2	8	no	—
293	C₃×C₂²⋊D₅	—	2	8	no	—
294	C₃×C₂²⋊D₅	—	4	4	no	—
295	C₃×C₂²⋊D₅	C₂×D₄	1	8	yes	complemented
296	C₂×C₃×Dic₅	—	2	8	no	—
297	C₂×C₃×Dic₅	—	2	8	no	—
298	C₂×C₃×Dic₅	—	2	4	no	—
299	C₂×C₃×Dic₅	—	2	8	no	—
300	C₂×C₃×Dic₅	—	2	8	no	—
301	C₂×C₃×Dic₅	—	4	2	no	—
302	C₂×C₃×Dic₅	C₂×D₄	1	8	yes	complemented
303	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
304	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
305	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
306	C₂×C₃×Dic₅	C₂⁴	1	4	yes	—
307	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
308	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
309	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
310	C₃×D₂₀	—	2	2	no	—
311	C₃×C₄×D₅	—	2	4	no	—
312	C₃×C₄×D₅	—	2	4	no	—
313	C₃×C₄×D₅	—	2	2	no	—
314	C₃×C₄×D₅	—	2	4	no	—
315	C₃×C₄×D₅	—	4	1	no	—
316	C₃×C₄×D₅	C₂×D₄	1	4	yes	complemented
317	C₃×Dic₁₀	—	2	4	no	—
318	C₃×Dic₁₀	—	2	8	no	—
319	C₃×Dic₁₀	C₂×D₄	1	4	yes	complemented
320	C₂×C₃×#41	—	5	1	no	—
321	C₂×C₃×#41	—	5	4	no	—
322	C₂×C₃×#41	—	5	2	no	—
323	C₂×C₃×#41	—	5	2	no	—
324	C₂×C₃×#41	—	5	4	no	—
325	C₂×C₃×#41	—	5	2	no	—
326	C₂×C₃×#41	—	10	16	no	—
327	C₂²×C₃×Q₈	—	5	2	no	—
328	C₂²×C₃×D₄	—	5	4	no	—
329	C₂²×C₃×D₄	—	5	1	no	—
330	C₂²×C₃×D₄	C₂×D₅	1	2	yes	—
331	C₂²×C₃×D₄	C₂×D₅	1	2	yes	complemented
332	C₂³×C₃×C₄	—	5	4	no	—
333	C₂³×C₃×C₄	—	5	2	no	—
334	C₃×C₄⋊Q₈	—	5	2	no	—
335	C₃×C₄⋊Q₈	—	5	1	no	—
336	C₃×#127	—	5	2	no	—
337	C₃×#127	C₂×D₅	1	1	yes	characteristic, complemented
338	C₃×#124	—	5	2	no	—
339	C₃×#124	—	5	4	no	—
340	C₃×#123	—	5	4	no	—
341	C₃×#123	—	5	4	no	—
342	C₃×#123	—	5	4	no	—
343	C₃×C₂²⋊Q₈	—	5	2	no	—
344	C₃×C₂²⋊Q₈	—	5	2	no	—
345	C₃×C₂²⋊Q₈	—	5	4	no	—
346	C₃×C₂²⋊Q₈	—	5	4	no	—
347	C₃×#121	—	5	2	no	—
348	C₃×#121	—	5	2	no	—
349	C₃×#121	—	5	2	no	—
350	C₃×#121	—	5	4	no	—
351	C₃×#121	—	5	4	no	—
352	C₃×#121	—	5	4	no	—
353	C₃×#121	—	5	2	no	—
354	C₃×#121	C₂×D₅	1	2	yes	complemented
355	C₃×#121	C₂×D₅	1	2	yes	complemented
356	C₃×#120	—	5	4	no	—
357	C₃×#120	—	5	4	no	—
358	C₃×#120	C₂×D₅	1	4	yes	complemented
359	C₃×C₄×Q₈	—	5	1	no	—
360	C₃×C₄×Q₈	—	5	1	no	—
361	C₃×C₄×D₄	—	5	1	no	—
362	C₃×C₄×D₄	—	5	2	no	—
363	C₃×C₄×D₄	—	5	4	no	—
364	C₃×C₄×D₄	—	5	2	no	—
365	C₃×C₄×D₄	—	5	4	no	—
366	C₃×C₄×D₄	—	5	2	no	—
367	C₃×C₄×D₄	—	5	1	no	—
368	C₃×C₄×D₄	—	5	2	no	—
369	C₃×C₄×D₄	—	5	2	no	—
370	C₃×C₄×D₄	—	5	2	no	—
371	C₃×C₄×D₄	—	5	1	no	—
372	C₃×C₄×D₄	—	5	2	no	—
373	C₃×C₄×D₄	—	5	2	no	—
374	C₃×C₄×D₄	—	5	4	no	—
375	C₃×C₄×D₄	—	5	1	no	—
376	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic
377	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
378	C₃×#117	—	5	1	no	—
379	C₃×#117	—	5	2	no	—
380	C₂×C₃×C₄⋊C₄	—	5	2	no	—
381	C₂×C₃×C₄⋊C₄	—	5	1	no	—
382	C₂×C₃×C₂²⋊C₄	—	5	4	no	—
383	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
384	C₂×C₃×C₄²	—	5	2	no	—
385	C₂×C₃×C₄²	—	5	1	no	—
386	C₂⁴×C₅	C₂³×C₃	1	4	yes	—
387	C₂³×D₅	C₂³×C₃	1	2	yes	—
388	C₂×C₅×D₄	—	2	8	no	—
389	C₂×C₅×D₄	—	2	8	no	—
390	C₂×C₅×D₄	C₂³×C₃	1	4	yes	—
391	C₂×C₅×D₄	C₂³×C₃	1	4	yes	—
392	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
393	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
394	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
395	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
396	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
398	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
399	C₂×C₂²⋊D₅	—	2	16	no	—
400	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
401	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
402	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
403	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
404	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
405	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
406	C₂²×Dic₅	—	2	16	no	—
407	C₂²×Dic₅	C₂³×C₃	1	4	yes	—
408	C₂²×Dic₅	C₂³×C₃	1	4	yes	—
409	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
410	C₂²×Dic₅	C₂³×C₃	1	4	yes	—
411	C₂²×Dic₅	C₂³×C₃	1	4	yes	—
412	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
413	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
414	#711	—	2	8	no	—
415	#711	—	2	16	no	—
416	#711	—	2	16	no	—
417	#711	—	2	8	no	—
418	#711	—	2	8	no	—
419	#711	C₃×D₄	1	8	yes	direct product factor
420	D₄×D₅	—	2	4	no	—
421	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
422	C₂×C₄×D₅	—	2	8	no	—
423	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
424	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
425	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
426	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
427	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
428	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
429	C₂×Dic₁₀	—	2	8	no	—
430	C₂×Dic₁₀	C₂³×C₃	1	2	yes	—
431	C₂×Dic₁₀	C₂³×C₃	1	4	yes	—
432	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
433	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
434	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
435	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
436	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
437	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
438	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
439	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
440	C₂²⋊Dic₅	C₂³×C₃	1	4	yes	—
441	C₂²⋊Dic₅	C₂³×C₃	1	4	yes	—
442	C₂²⋊Dic₅	C₂³×C₃	1	4	yes	—
443	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
444	C₂²⋊Dic₅	C₂³×C₃	1	4	yes	—
445	#685	C₂³×C₃	1	2	yes	—
446	#685	C₂³×C₃	1	2	yes	—
447	#685	C₂³×C₃	1	2	yes	—
448	#685	C₂³×C₃	1	4	yes	—
449	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
450	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
451	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
452	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
453	C₄⋊Dic₅	C₂³×C₃	1	4	yes	—
454	#683	C₂³×C₃	1	2	yes	—
455	#683	C₂³×C₃	1	2	yes	—
456	#683	C₂³×C₃	1	2	yes	—
457	#683	C₂³×C₃	1	4	yes	—
458	C₄×Dic₅	C₂³×C₃	1	2	yes	—
459	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
460	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
461	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
462	C₄×Dic₅	C₂³×C₃	1	2	yes	—
463	C₄×Dic₅	C₂³×C₃	1	2	yes	—
464	C₂²×#41	—	5	2	no	—
465	#550	—	5	1	no	—
466	D₄×Q₈	—	5	1	no	—
467	#548	—	5	2	no	—
468	#547	—	5	2	no	—
469	#547	—	5	1	no	—
470	#546	—	5	2	no	—
471	#546	—	5	4	no	—
472	D₄²	—	5	2	no	—
473	D₄²	C₃×D₅	1	1	yes	characteristic, complemented
474	#532	—	5	1	no	—
475	#532	—	5	2	no	—
476	#525	—	5	2	no	—
477	#525	—	5	4	no	—
478	C₄×#41	—	5	1	no	—
479	C₂×C₄×D₄	—	5	2	no	—
480	C₂×C₄×D₄	—	5	1	no	—
481	C₂²×C₃×C₅	—	2	2	no	—
482	C₂²×C₃×C₅	—	2	2	no	—
483	C₂²×C₃×C₅	—	2	2	no	—
484	C₂²×C₃×C₅	—	2	2	no	—
485	C₂²×C₃×C₅	—	2	4	no	—
486	C₂²×C₃×C₅	—	2	4	no	—
487	C₂²×C₃×C₅	—	2	4	no	—
488	C₂²×C₃×C₅	—	4	16	no	—
489	C₂²×C₃×C₅	C₂²×D₄	1	4	yes	—
490	C₂²×C₃×C₅	C₂×#41	1	4	yes	complemented
491	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
492	C₂×C₃×D₅	—	2	1	no	—
493	C₂×C₃×D₅	—	2	1	no	—
494	C₂×C₃×D₅	—	2	2	no	—
495	C₂×C₃×D₅	—	2	2	no	—
496	C₂×C₃×D₅	—	2	2	no	—
497	C₂×C₃×D₅	—	4	8	no	—
498	C₂×C₃×D₅	C₂²×D₄	1	2	yes	—
499	C₃×C₄×C₅	—	2	2	no	—
500	C₃×C₄×C₅	—	2	2	no	—
501	C₃×C₄×C₅	—	2	1	no	—
502	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
503	C₃×C₄×C₅	C₂×#41	1	2	yes	complemented
504	C₃×Dic₅	—	2	4	no	—
505	C₃×Dic₅	—	2	2	no	—
506	C₃×Dic₅	—	2	1	no	—
507	C₃×Dic₅	—	2	1	no	—
508	C₃×Dic₅	—	2	2	no	—
509	C₃×Dic₅	C₂²×D₄	1	4	yes	—
510	C₃×Dic₅	C₂²×D₄	1	2	yes	—
511	C₂⁴×C₃	—	5	2	no	—
512	C₂⁴×C₃	C₂²×D₅	1	4	yes	—
513	C₃×#41	—	5	8	no	—
514	C₃×#41	—	10	16	no	—
515	C₃×#41	—	10	8	no	—
516	C₃×#41	—	10	16	no	—
517	C₃×#41	—	10	8	no	—
518	C₃×#41	—	10	8	no	—
519	C₂×C₃×Q₈	—	5	1	no	—
520	C₂×C₃×Q₈	—	5	4	no	—
521	C₂×C₃×Q₈	—	5	2	no	—
522	C₂×C₃×Q₈	—	10	8	no	—
523	C₂×C₃×D₄	—	2	8	no	—
524	C₂×C₃×D₄	—	2	8	no	—
525	C₂×C₃×D₄	—	5	2	no	—
526	C₂×C₃×D₄	—	5	2	no	—
527	C₂×C₃×D₄	—	5	4	no	—
528	C₂×C₃×D₄	—	5	4	no	—
529	C₂×C₃×D₄	—	5	4	no	—
530	C₂×C₃×D₄	—	5	4	no	—
531	C₂×C₃×D₄	—	5	1	no	—
532	C₂×C₃×D₄	—	10	16	no	—
533	C₂×C₃×D₄	—	10	4	no	—
534	C₂×C₃×D₄	C₂²×D₅	1	4	yes	—
535	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
536	C₂×C₃×D₄	C₂²×D₅	1	4	yes	—
537	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
538	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
539	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
540	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
541	C₂²×C₃×C₄	—	5	2	no	—
542	C₂²×C₃×C₄	—	5	1	no	—
543	C₂²×C₃×C₄	—	5	4	no	—
544	C₂²×C₃×C₄	—	5	2	no	—
545	C₂²×C₃×C₄	—	5	4	no	—
546	C₂²×C₃×C₄	—	5	4	no	—
547	C₂²×C₃×C₄	—	5	4	no	—
548	C₂²×C₃×C₄	—	5	2	no	—
549	C₂²×C₃×C₄	—	5	1	no	—
550	C₂²×C₃×C₄	—	5	2	no	—
551	C₂²×C₃×C₄	—	5	2	no	—
552	C₂²×C₃×C₄	—	5	2	no	—
553	C₂²×C₃×C₄	—	5	1	no	—
554	C₂²×C₃×C₄	—	10	8	no	—
555	C₂²×C₃×C₄	—	10	16	no	—
556	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
557	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
558	C₃×C₄⋊C₄	—	5	2	no	—
559	C₃×C₄⋊C₄	—	5	2	no	—
560	C₃×C₄⋊C₄	—	5	2	no	—
561	C₃×C₄⋊C₄	—	5	4	no	—
562	C₃×C₄⋊C₄	—	5	1	no	—
563	C₃×C₄⋊C₄	—	5	2	no	—
564	C₃×C₄⋊C₄	—	5	4	no	—
565	C₃×C₄⋊C₄	—	5	1	no	—
566	C₃×C₄⋊C₄	—	5	2	no	—
567	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
568	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
569	C₃×C₂²⋊C₄	—	5	2	no	—
570	C₃×C₂²⋊C₄	—	5	4	no	—
571	C₃×C₂²⋊C₄	—	5	4	no	—
572	C₃×C₂²⋊C₄	—	5	4	no	—
573	C₃×C₂²⋊C₄	—	5	2	no	—
574	C₃×C₂²⋊C₄	—	5	4	no	—
575	C₃×C₂²⋊C₄	—	5	2	no	—
576	C₃×C₂²⋊C₄	—	5	2	no	—
577	C₃×C₂²⋊C₄	—	5	2	no	—
578	C₃×C₂²⋊C₄	—	5	4	no	—
579	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
580	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
581	C₃×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
582	C₃×C₄²	—	5	1	no	—
583	C₃×C₄²	—	5	2	no	—
584	C₃×C₄²	—	5	1	no	—
585	C₃×C₄²	—	5	2	no	—
586	C₃×C₄²	—	5	1	no	—
587	C₃×C₄²	—	5	2	no	—
588	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
589	C₂³×C₅	—	2	8	no	—
590	C₂³×C₅	—	2	8	no	—
591	C₂³×C₅	—	4	4	no	—
592	C₂³×C₅	C₂⁴×C₃	1	4	yes	—
593	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
594	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
595	C₂²×D₅	—	2	4	no	—
596	C₂²×D₅	—	2	4	no	—
597	C₂²×D₅	—	4	2	no	—
598	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
599	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
600	C₅×D₄	—	2	8	no	—
601	C₅×D₄	—	2	8	no	—
602	C₅×D₄	—	2	4	no	—
603	C₅×D₄	—	2	4	no	—
604	C₅×D₄	—	4	2	no	—
605	C₅×D₄	C₂×C₃×D₄	1	4	yes	complemented
606	C₅×D₄	C₃×#41	1	4	yes	complemented
607	C₂×C₄×C₅	—	2	4	no	—
608	C₂×C₄×C₅	—	2	4	no	—
609	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
610	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
611	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
612	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
613	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
614	C₂²⋊D₅	—	2	8	no	—
615	C₂²⋊D₅	—	2	4	no	—
616	C₂²⋊D₅	—	2	8	no	—
617	C₂²⋊D₅	—	2	8	no	—
618	C₂²⋊D₅	—	4	4	no	—
619	C₂²⋊D₅	C₂×C₃×D₄	1	8	yes	complemented
620	C₂×Dic₅	—	2	8	no	—
621	C₂×Dic₅	—	2	8	no	—
622	C₂×Dic₅	—	2	4	no	—
623	C₂×Dic₅	—	2	8	no	—
624	C₂×Dic₅	—	2	8	no	—
625	C₂×Dic₅	—	4	2	no	—
626	C₂×Dic₅	C₂×C₃×D₄	1	8	yes	complemented
627	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
628	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
629	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
630	C₂×Dic₅	C₂⁴×C₃	1	4	yes	—
631	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
632	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
633	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
634	D₂₀	—	2	2	no	—
635	C₄×D₅	—	2	4	no	—
636	C₄×D₅	—	2	4	no	—
637	C₄×D₅	—	2	2	no	—
638	C₄×D₅	—	2	4	no	—
639	C₄×D₅	—	4	1	no	—
640	C₄×D₅	C₂×C₃×D₄	1	4	yes	complemented
641	Dic₁₀	—	2	4	no	—
642	Dic₁₀	—	2	8	no	—
643	Dic₁₀	C₂×C₃×D₄	1	4	yes	complemented
644	C₂×#41	—	5	1	no	—
645	C₂×#41	—	5	4	no	—
646	C₂×#41	—	5	2	no	—
647	C₂×#41	—	5	2	no	—
648	C₂×#41	—	5	4	no	—
649	C₂×#41	—	5	2	no	—
650	C₂×#41	—	10	16	no	—
651	C₂²×Q₈	—	5	2	no	—
652	C₂²×D₄	—	5	4	no	—
653	C₂²×D₄	—	5	1	no	—
654	C₂²×D₄	C₂×C₃×D₅	1	2	yes	—
655	C₂²×D₄	C₂×C₃×D₅	1	2	yes	complemented
656	C₂³×C₄	—	5	4	no	—
657	C₂³×C₄	—	5	2	no	—
658	C₄⋊Q₈	—	5	2	no	—
659	C₄⋊Q₈	—	5	1	no	—
660	#127	—	5	2	no	—
661	#127	C₂×C₃×D₅	1	1	yes	characteristic, complemented
662	#124	—	5	2	no	—
663	#124	—	5	4	no	—
664	#123	—	5	4	no	—
665	#123	—	5	4	no	—
666	#123	—	5	4	no	—
667	C₂²⋊Q₈	—	5	2	no	—
668	C₂²⋊Q₈	—	5	2	no	—
669	C₂²⋊Q₈	—	5	4	no	—
670	C₂²⋊Q₈	—	5	4	no	—
671	#121	—	5	4	no	—
672	#121	—	5	2	no	—
673	#121	—	5	4	no	—
674	#121	—	5	2	no	—
675	#121	—	5	2	no	—
676	#121	—	5	4	no	—
677	#121	—	5	2	no	—
678	#121	C₂×C₃×D₅	1	2	yes	complemented
679	#121	C₂×C₃×D₅	1	2	yes	complemented
680	#120	—	5	4	no	—
681	#120	—	5	4	no	—
682	#120	C₂×C₃×D₅	1	4	yes	complemented
683	C₄×Q₈	—	5	1	no	—
684	C₄×Q₈	—	5	1	no	—
685	C₄×D₄	—	5	1	no	—
686	C₄×D₄	—	5	4	no	—
687	C₄×D₄	—	5	2	no	—
688	C₄×D₄	—	5	2	no	—
689	C₄×D₄	—	5	4	no	—
690	C₄×D₄	—	5	2	no	—
691	C₄×D₄	—	5	1	no	—
692	C₄×D₄	—	5	2	no	—
693	C₄×D₄	—	5	2	no	—
694	C₄×D₄	—	5	2	no	—
695	C₄×D₄	—	5	1	no	—
696	C₄×D₄	—	5	2	no	—
697	C₄×D₄	—	5	2	no	—
698	C₄×D₄	—	5	4	no	—
699	C₄×D₄	—	5	1	no	—
700	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic
701	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
702	#117	—	5	1	no	—
703	#117	—	5	2	no	—
704	C₂×C₄⋊C₄	—	5	2	no	—
705	C₂×C₄⋊C₄	—	5	1	no	—
706	C₂×C₂²⋊C₄	—	5	4	no	—
707	C₂×C₂²⋊C₄	—	5	2	no	—
708	C₂×C₄²	—	5	2	no	—
709	C₂×C₄²	—	5	1	no	—
710	C₂×C₃×C₅	—	2	4	no	—
711	C₂×C₃×C₅	—	2	4	no	—
712	C₂×C₃×C₅	—	4	4	no	—
713	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
714	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
715	C₂×C₃×C₅	#585	1	1	yes	characteristic
716	C₃×D₅	—	2	2	no	—
717	C₃×D₅	—	4	2	no	—
718	C₂³×C₃	—	2	8	no	—
719	C₂³×C₃	—	2	8	no	—
720	C₂³×C₃	—	4	4	no	—
721	C₂³×C₃	—	5	1	no	—
722	C₂³×C₃	—	5	2	no	—
723	C₂³×C₃	—	10	4	no	—
724	C₂³×C₃	—	10	4	no	—
725	C₂³×C₃	—	20	2	no	—
726	C₂³×C₃	C₂³×D₅	1	4	yes	—
727	C₂³×C₃	C₂³×D₅	1	2	yes	—
728	C₂³×C₃	C₂³×D₅	1	2	yes	—
729	C₃×Q₈	—	5	4	no	—
730	C₃×Q₈	—	10	8	no	—
731	C₃×Q₈	—	10	4	no	—
732	C₃×D₄	—	2	8	no	—
733	C₃×D₄	—	2	8	no	—
734	C₃×D₄	—	2	4	no	—
735	C₃×D₄	—	2	4	no	—
736	C₃×D₄	—	4	2	no	—
737	C₃×D₄	—	5	8	no	—
738	C₃×D₄	—	10	8	no	—
739	C₃×D₄	—	10	8	no	—
740	C₃×D₄	—	10	8	no	—
741	C₃×D₄	—	10	4	no	—
742	C₃×D₄	—	10	2	no	—
743	C₃×D₄	—	20	4	no	—
744	C₃×D₄	D₄×D₅	1	4	yes	complemented
745	C₃×D₄	#711	1	4	yes	direct product factor
746	C₂×C₃×C₄	—	2	4	no	—
747	C₂×C₃×C₄	—	2	4	no	—
748	C₂×C₃×C₄	—	5	8	no	—
749	C₂×C₃×C₄	—	5	1	no	—
750	C₂×C₃×C₄	—	5	2	no	—
751	C₂×C₃×C₄	—	5	4	no	—
752	C₂×C₃×C₄	—	5	1	no	—
753	C₂×C₃×C₄	—	5	1	no	—
754	C₂×C₃×C₄	—	5	2	no	—
755	C₂×C₃×C₄	—	5	2	no	—
756	C₂×C₃×C₄	—	5	4	no	—
757	C₂×C₃×C₄	—	10	4	no	—
758	C₂×C₃×C₄	—	10	4	no	—
759	C₂×C₃×C₄	—	10	4	no	—
760	C₂×C₃×C₄	—	10	8	no	—
761	C₂×C₃×C₄	—	10	8	no	—
762	C₂×C₃×C₄	—	10	8	no	—
763	C₂×C₃×C₄	—	10	8	no	—
764	C₂×C₃×C₄	—	10	4	no	—
765	C₂×C₃×C₄	—	10	2	no	—
766	C₂×C₃×C₄	—	20	1	no	—
767	C₂×C₃×C₄	—	20	2	no	—
768	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
769	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
770	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
771	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
772	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
773	C₂²×C₅	—	2	2	no	—
774	C₂²×C₅	—	2	2	no	—
775	C₂²×C₅	—	2	2	no	—
776	C₂²×C₅	—	2	2	no	—
777	C₂²×C₅	—	2	4	no	—
778	C₂²×C₅	—	2	4	no	—
779	C₂²×C₅	—	2	4	no	—
780	C₂²×C₅	—	4	16	no	—
781	C₂²×C₅	C₂²×C₃×D₄	1	4	yes	—
782	C₂²×C₅	C₂×C₃×#41	1	4	yes	complemented
783	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
784	C₂×D₅	—	2	1	no	—
785	C₂×D₅	—	2	1	no	—
786	C₂×D₅	—	2	2	no	—
787	C₂×D₅	—	2	2	no	—
788	C₂×D₅	—	2	2	no	—
789	C₂×D₅	—	4	8	no	—
790	C₂×D₅	C₂²×C₃×D₄	1	2	yes	—
791	C₄×C₅	—	2	2	no	—
792	C₄×C₅	—	2	2	no	—
793	C₄×C₅	—	2	1	no	—
794	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
795	C₄×C₅	C₂×C₃×#41	1	2	yes	complemented
796	Dic₅	—	2	4	no	—
797	Dic₅	—	2	2	no	—
798	Dic₅	—	2	1	no	—
799	Dic₅	—	2	1	no	—
800	Dic₅	—	2	2	no	—
801	Dic₅	C₂²×C₃×D₄	1	4	yes	—
802	Dic₅	C₂²×C₃×D₄	1	2	yes	—
803	C₂⁴	—	5	2	no	—
804	C₂⁴	C₂²×C₃×D₅	1	4	yes	—
805	#41	—	5	8	no	—
806	#41	—	10	16	no	—
807	#41	—	10	8	no	—
808	#41	—	10	16	no	—
809	#41	—	10	8	no	—
810	#41	—	10	8	no	—
811	C₂×Q₈	—	5	1	no	—
812	C₂×Q₈	—	5	4	no	—
813	C₂×Q₈	—	5	2	no	—
814	C₂×Q₈	—	10	8	no	—
815	C₂×D₄	—	2	8	no	—
816	C₂×D₄	—	2	8	no	—
817	C₂×D₄	—	5	2	no	—
818	C₂×D₄	—	5	2	no	—
819	C₂×D₄	—	5	4	no	—
820	C₂×D₄	—	5	4	no	—
821	C₂×D₄	—	5	4	no	—
822	C₂×D₄	—	5	4	no	—
823	C₂×D₄	—	5	1	no	—
824	C₂×D₄	—	10	16	no	—
825	C₂×D₄	—	10	4	no	—
826	C₂×D₄	C₂²×C₃×D₅	1	4	yes	—
827	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
828	C₂×D₄	C₂²×C₃×D₅	1	4	yes	—
829	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
830	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
831	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
832	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
833	C₂²×C₄	—	5	2	no	—
834	C₂²×C₄	—	5	1	no	—
835	C₂²×C₄	—	5	4	no	—
836	C₂²×C₄	—	5	2	no	—
837	C₂²×C₄	—	5	4	no	—
838	C₂²×C₄	—	5	4	no	—
839	C₂²×C₄	—	5	4	no	—
840	C₂²×C₄	—	5	2	no	—
841	C₂²×C₄	—	5	1	no	—
842	C₂²×C₄	—	5	2	no	—
843	C₂²×C₄	—	5	2	no	—
844	C₂²×C₄	—	5	2	no	—
845	C₂²×C₄	—	5	1	no	—
846	C₂²×C₄	—	10	8	no	—
847	C₂²×C₄	—	10	16	no	—
848	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
849	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
850	C₄⋊C₄	—	5	1	no	—
851	C₄⋊C₄	—	5	2	no	—
852	C₄⋊C₄	—	5	2	no	—
853	C₄⋊C₄	—	5	4	no	—
854	C₄⋊C₄	—	5	2	no	—
855	C₄⋊C₄	—	5	2	no	—
856	C₄⋊C₄	—	5	1	no	—
857	C₄⋊C₄	—	5	4	no	—
858	C₄⋊C₄	—	5	2	no	—
859	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
860	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
861	C₂²⋊C₄	—	5	2	no	—
862	C₂²⋊C₄	—	5	4	no	—
863	C₂²⋊C₄	—	5	4	no	—
864	C₂²⋊C₄	—	5	4	no	—
865	C₂²⋊C₄	—	5	2	no	—
866	C₂²⋊C₄	—	5	4	no	—
867	C₂²⋊C₄	—	5	2	no	—
868	C₂²⋊C₄	—	5	2	no	—
869	C₂²⋊C₄	—	5	2	no	—
870	C₂²⋊C₄	—	5	4	no	—
871	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
872	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
873	C₂²⋊C₄	C₂²×C₃×D₅	1	4	yes	—
874	C₄²	—	5	1	no	—
875	C₄²	—	5	2	no	—
876	C₄²	—	5	1	no	—
877	C₄²	—	5	2	no	—
878	C₄²	—	5	1	no	—
879	C₄²	—	5	2	no	—
880	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
881	C₃×C₅	D₄×#41	1	1	yes	characteristic, complemented, Hall
882	C₂²×C₃	—	2	2	no	—
883	C₂²×C₃	—	2	2	no	—
884	C₂²×C₃	—	2	2	no	—
885	C₂²×C₃	—	2	2	no	—
886	C₂²×C₃	—	2	4	no	—
887	C₂²×C₃	—	2	4	no	—
888	C₂²×C₃	—	2	4	no	—
889	C₂²×C₃	—	4	16	no	—
890	C₂²×C₃	—	5	2	no	—
891	C₂²×C₃	—	10	1	no	—
892	C₂²×C₃	—	10	1	no	—
893	C₂²×C₃	—	10	2	no	—
894	C₂²×C₃	—	10	2	no	—
895	C₂²×C₃	—	10	2	no	—
896	C₂²×C₃	—	20	8	no	—
897	C₂²×C₃	C₂×D₄×D₅	1	4	yes	—
898	C₂²×C₃	C₂×#711	1	4	yes	complemented
899	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
900	C₃×C₄	—	2	2	no	—
901	C₃×C₄	—	2	2	no	—
902	C₃×C₄	—	2	1	no	—
903	C₃×C₄	—	5	2	no	—
904	C₃×C₄	—	5	4	no	—
905	C₃×C₄	—	10	2	no	—
906	C₃×C₄	—	10	4	no	—
907	C₃×C₄	—	10	1	no	—
908	C₃×C₄	—	10	1	no	—
909	C₃×C₄	—	10	2	no	—
910	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
911	C₃×C₄	C₂×#711	1	2	yes	complemented
912	C₂×C₅	—	2	4	no	—
913	C₂×C₅	—	2	4	no	—
914	C₂×C₅	—	4	4	no	—
915	C₂×C₅	C₂³×C₃×D₄	1	1	yes	characteristic
916	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
917	C₂×C₅	C₃×#585	1	1	yes	characteristic
918	D₅	—	2	2	no	—
919	D₅	—	4	2	no	—
920	C₂³	—	2	8	no	—
921	C₂³	—	2	8	no	—
922	C₂³	—	4	4	no	—
923	C₂³	—	5	1	no	—
924	C₂³	—	5	2	no	—
925	C₂³	—	10	4	no	—
926	C₂³	—	10	4	no	—
927	C₂³	—	20	2	no	—
928	C₂³	C₂³×C₃×D₅	1	4	yes	—
929	C₂³	C₂³×C₃×D₅	1	2	yes	—
930	C₂³	C₂³×C₃×D₅	1	2	yes	—
931	Q₈	—	5	4	no	—
932	Q₈	—	10	8	no	—
933	Q₈	—	10	4	no	—
934	D₄	—	2	8	no	—
935	D₄	—	2	8	no	—
936	D₄	—	2	4	no	—
937	D₄	—	2	4	no	—
938	D₄	—	4	2	no	—
939	D₄	—	5	8	no	—
940	D₄	—	10	8	no	—
941	D₄	—	10	8	no	—
942	D₄	—	10	8	no	—
943	D₄	—	10	4	no	—
944	D₄	—	10	2	no	—
945	D₄	—	20	4	no	—
946	D₄	C₃×D₄×D₅	1	4	yes	complemented
947	D₄	C₃×#711	1	4	yes	direct product factor
948	C₂×C₄	—	2	4	no	—
949	C₂×C₄	—	2	4	no	—
950	C₂×C₄	—	5	8	no	—
951	C₂×C₄	—	5	1	no	—
952	C₂×C₄	—	5	2	no	—
953	C₂×C₄	—	5	4	no	—
954	C₂×C₄	—	5	1	no	—
955	C₂×C₄	—	5	1	no	—
956	C₂×C₄	—	5	2	no	—
957	C₂×C₄	—	5	2	no	—
958	C₂×C₄	—	5	4	no	—
959	C₂×C₄	—	10	4	no	—
960	C₂×C₄	—	10	4	no	—
961	C₂×C₄	—	10	4	no	—
962	C₂×C₄	—	10	8	no	—
963	C₂×C₄	—	10	8	no	—
964	C₂×C₄	—	10	8	no	—
965	C₂×C₄	—	10	8	no	—
966	C₂×C₄	—	10	4	no	—
967	C₂×C₄	—	10	2	no	—
968	C₂×C₄	—	20	1	no	—
969	C₂×C₄	—	20	2	no	—
970	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
971	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
972	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
973	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
974	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
975	C₂×C₃	—	2	4	no	—
976	C₂×C₃	—	2	4	no	—
977	C₂×C₃	—	4	4	no	—
978	C₂×C₃	—	10	2	no	—
979	C₂×C₃	—	20	2	no	—
980	C₂×C₃	C₂²×D₄×D₅	1	1	yes	characteristic
981	C₂×C₃	C₂²×#711	1	1	yes	characteristic
982	C₂×C₃	#66285	1	1	yes	characteristic
983	C₅	C₃×D₄×#41	1	1	yes	characteristic, complemented, Sylow
984	C₂²	—	2	2	no	—
985	C₂²	—	2	2	no	—
986	C₂²	—	2	2	no	—
987	C₂²	—	2	2	no	—
988	C₂²	—	2	4	no	—
989	C₂²	—	2	4	no	—
990	C₂²	—	2	4	no	—
991	C₂²	—	4	16	no	—
992	C₂²	—	5	2	no	—
993	C₂²	—	10	1	no	—
994	C₂²	—	10	1	no	—
995	C₂²	—	10	2	no	—
996	C₂²	—	10	2	no	—
997	C₂²	—	10	2	no	—
998	C₂²	—	20	8	no	—
999	C₂²	C₂×C₃×D₄×D₅	1	4	yes	—
1000	C₂²	C₂×C₃×#711	1	4	yes	complemented
1001	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1002	C₄	—	2	2	no	—
1003	C₄	—	2	2	no	—
1004	C₄	—	2	1	no	—
1005	C₄	—	5	2	no	—
1006	C₄	—	5	4	no	—
1007	C₄	—	10	2	no	—
1008	C₄	—	10	4	no	—
1009	C₄	—	10	1	no	—
1010	C₄	—	10	1	no	—
1011	C₄	—	10	2	no	—
1012	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1013	C₄	C₂×C₃×#711	1	2	yes	complemented
1014	C₃	D₄×#711	1	1	yes	characteristic, direct product factor, Sylow
1015	C₂	—	2	4	no	—
1016	C₂	—	2	4	no	—
1017	C₂	—	4	4	no	—
1018	C₂	—	10	2	no	—
1019	C₂	—	20	2	no	—
1020	C₂	C₂²×C₃×D₄×D₅	1	1	yes	characteristic
1021	C₂	C₂²×C₃×#711	1	1	yes	characteristic
1022	C₂	C₃×#66285	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₃×C₅×D₄²	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×D₄²	D₅
hypocenter	C₅	C₃×D₄×#41
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×#711	C₂	semidirect
2. C₃×C₅×D₄²	C₂	semidirect
3. C₃×#66140	C₂	semidirect
4. C₃×D₄×C₂²⋊D₅	C₂	semidirect
5. C₂×C₃×D₄×Dic₅	C₂	semidirect
6. C₃×#66052	C₂	semidirect
7. C₃×#66050	C₂	semidirect
8. C₃×#65945	C₂	semidirect
9. C₃×#65940	C₂	semidirect
10. C₃×#65932	C₂	semidirect
11. C₃×#65930	C₂	semidirect
12. C₃×#65925	C₂	semidirect
13. C₃×#65920	C₂	semidirect
14. C₃×#65889	C₂	semidirect
15. C₃×C₄×D₄×D₅	C₂	semidirect
16. C₃×D₄×Dic₁₀	C₂	semidirect
17. C₃×C₄×#711	C₂	semidirect
18. D₄×#711	C₃	direct (N × H)
20. C₂²×C₃×C₅×D₄	C₂²	semidirect
21. C₂²×C₃×C₂²⋊D₅	C₂²	semidirect
22. C₂³×C₃×Dic₅	C₂²	semidirect
25. C₂×C₃×#711	C₂²	semidirect
26. C₂×C₃×#711	C₂²	semidirect
27. C₂×C₃×#711	C₂²	semidirect
28. C₂×C₃×#711	C₂²	semidirect
29. C₂×C₃×#711	C₂²	semidirect
31. C₂²×C₃×C₄×D₅	C₂²	semidirect
32. C₂²×C₃×Dic₁₀	C₂²	semidirect
33. C₃×C₅×#127	C₂²	semidirect
34. C₃×C₅×#121	C₂²	semidirect
35. C₃×C₅×#121	C₂²	semidirect
36. C₃×C₅×#120	C₂²	semidirect
38. C₃×C₄×C₅×D₄	C₂²	semidirect
39. C₃×#4099	C₂²	semidirect
40. C₂×C₃×C₂²⋊Dic₅	C₂²	semidirect
41. C₃×#4086	C₂²	semidirect
42. C₃×#4085	C₂²	semidirect
43. C₃×#4085	C₂²	semidirect
44. C₃×#4085	C₂²	semidirect
45. C₃×#4084	C₂²	semidirect
46. C₃×#4084	C₂²	semidirect
47. C₃×#4084	C₂²	semidirect
48. C₃×#4083	C₂²	semidirect
49. C₃×#4082	C₂²	semidirect
50. C₃×#4081	C₂²	semidirect
53. C₃×D₄×Dic₅	C₂²	semidirect
54. C₃×D₄×Dic₅	C₂²	semidirect
55. C₃×D₄×Dic₅	C₂²	semidirect
56. C₃×D₄×Dic₅	C₂²	semidirect
57. C₃×D₄×Dic₅	C₂²	semidirect
58. C₃×D₄×Dic₅	C₂²	semidirect
59. C₃×#4076	C₂²	semidirect
60. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
61. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
62. C₂×C₃×C₄⋊Dic₅	C₂²	semidirect
63. C₃×#4070	C₂²	semidirect
64. C₂×C₃×C₄×Dic₅	C₂²	semidirect
65. C₃×#4043	C₂²	semidirect
66. C₃×#4039	C₂²	semidirect
67. C₃×#4038	C₂²	semidirect
68. C₃×D₅×C₄⋊C₄	C₂²	semidirect
69. C₃×#4034	C₂²	semidirect
70. C₃×#4033	C₂²	semidirect
71. C₃×#4032	C₂²	semidirect
72. C₃×#4031	C₂²	semidirect
73. C₃×#4029	C₂²	semidirect
74. C₃×#4027	C₂²	semidirect
75. C₃×#4027	C₂²	semidirect
76. C₃×#4027	C₂²	semidirect
77. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
78. C₃×#4024	C₂²	semidirect
79. C₃×#4024	C₂²	semidirect
80. C₃×#4023	C₂²	semidirect
81. C₃×C₄×D₂₀	C₂²	semidirect
82. C₃×C₄²×D₅	C₂²	semidirect
83. C₃×#4015	C₂²	semidirect
84. C₃×C₄×Dic₁₀	C₂²	semidirect
86. C₂²×#711	C₂×C₃	semidirect
87. C₅×D₄²	C₂×C₃	semidirect
88. #66140	C₂×C₃	semidirect
89. D₄×C₂²⋊D₅	C₂×C₃	semidirect
90. C₂×D₄×Dic₅	C₂×C₃	semidirect
91. #66052	C₂×C₃	semidirect
92. #66050	C₂×C₃	semidirect
93. #65945	C₂×C₃	semidirect
94. #65940	C₂×C₃	semidirect
95. #65932	C₂×C₃	semidirect
96. #65930	C₂×C₃	semidirect
97. #65925	C₂×C₃	semidirect
98. #65920	C₂×C₃	semidirect
99. #65889	C₂×C₃	semidirect
100. C₄×D₄×D₅	C₂×C₃	semidirect
101. D₄×Dic₁₀	C₂×C₃	semidirect
102. C₄×#711	C₂×C₃	semidirect
136. C₃×#711	D₄	direct (N × H)
190. C₃×D₄²	D₅	semidirect
199. C₂²×C₅×D₄	C₂²×C₃	semidirect
200. C₂²×C₂²⋊D₅	C₂²×C₃	semidirect
201. C₂³×Dic₅	C₂²×C₃	semidirect
204. C₂×#711	C₂²×C₃	semidirect
205. C₂×#711	C₂²×C₃	semidirect
206. C₂×#711	C₂²×C₃	semidirect
207. C₂×#711	C₂²×C₃	semidirect
208. C₂×#711	C₂²×C₃	semidirect
210. C₂²×C₄×D₅	C₂²×C₃	semidirect
211. C₂²×Dic₁₀	C₂²×C₃	semidirect
212. C₅×#127	C₂²×C₃	semidirect
213. C₅×#121	C₂²×C₃	semidirect
214. C₅×#121	C₂²×C₃	semidirect
215. C₅×#120	C₂²×C₃	semidirect
217. C₄×C₅×D₄	C₂²×C₃	semidirect
218. #4099	C₂²×C₃	semidirect
219. C₂×C₂²⋊Dic₅	C₂²×C₃	semidirect
220. #4086	C₂²×C₃	semidirect
221. #4085	C₂²×C₃	semidirect
222. #4085	C₂²×C₃	semidirect
223. #4085	C₂²×C₃	semidirect
224. #4084	C₂²×C₃	semidirect
225. #4084	C₂²×C₃	semidirect
226. #4084	C₂²×C₃	semidirect
227. #4083	C₂²×C₃	semidirect
228. #4082	C₂²×C₃	semidirect
229. #4081	C₂²×C₃	semidirect
232. D₄×Dic₅	C₂²×C₃	semidirect
233. D₄×Dic₅	C₂²×C₃	semidirect
234. D₄×Dic₅	C₂²×C₃	semidirect
235. D₄×Dic₅	C₂²×C₃	semidirect
236. D₄×Dic₅	C₂²×C₃	semidirect
237. D₄×Dic₅	C₂²×C₃	semidirect
238. #4076	C₂²×C₃	semidirect
239. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
240. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
241. C₂×C₄⋊Dic₅	C₂²×C₃	semidirect
242. #4070	C₂²×C₃	semidirect
243. C₂×C₄×Dic₅	C₂²×C₃	semidirect
244. #4043	C₂²×C₃	semidirect
245. #4039	C₂²×C₃	semidirect
246. #4038	C₂²×C₃	semidirect
247. D₅×C₄⋊C₄	C₂²×C₃	semidirect
248. #4034	C₂²×C₃	semidirect
249. #4033	C₂²×C₃	semidirect
250. #4032	C₂²×C₃	semidirect
251. #4031	C₂²×C₃	semidirect
252. #4029	C₂²×C₃	semidirect
253. #4027	C₂²×C₃	semidirect
254. #4027	C₂²×C₃	semidirect
255. #4027	C₂²×C₃	semidirect
256. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
257. #4024	C₂²×C₃	semidirect
258. #4024	C₂²×C₃	semidirect
259. #4023	C₂²×C₃	semidirect
260. C₄×D₂₀	C₂²×C₃	semidirect
261. C₄²×D₅	C₂²×C₃	semidirect
262. #4015	C₂²×C₃	semidirect
263. C₄×Dic₁₀	C₂²×C₃	semidirect
281. C₃×C₅×D₄	C₂×D₄	semidirect
282. C₃×C₅×D₄	#41	semidirect
295. C₃×C₂²⋊D₅	C₂×D₄	semidirect
302. C₂×C₃×Dic₅	C₂×D₄	semidirect
316. C₃×C₄×D₅	C₂×D₄	semidirect
319. C₃×Dic₁₀	C₂×D₄	semidirect
331. C₂²×C₃×D₄	C₂×D₅	semidirect
337. C₃×#127	C₂×D₅	semidirect
354. C₃×#121	C₂×D₅	semidirect
355. C₃×#121	C₂×D₅	semidirect
358. C₃×#120	C₂×D₅	semidirect
377. C₃×C₄×D₄	C₂×D₅	semidirect
419. #711	C₃×D₄	direct (N × H)
473. D₄²	C₃×D₅	semidirect
490. C₂²×C₃×C₅	C₂×#41	semidirect
503. C₃×C₄×C₅	C₂×#41	semidirect
605. C₅×D₄	C₂×C₃×D₄	semidirect
606. C₅×D₄	C₃×#41	semidirect
619. C₂²⋊D₅	C₂×C₃×D₄	semidirect
626. C₂×Dic₅	C₂×C₃×D₄	semidirect
640. C₄×D₅	C₂×C₃×D₄	semidirect
643. Dic₁₀	C₂×C₃×D₄	semidirect
655. C₂²×D₄	C₂×C₃×D₅	semidirect
661. #127	C₂×C₃×D₅	semidirect
678. #121	C₂×C₃×D₅	semidirect
679. #121	C₂×C₃×D₅	semidirect
682. #120	C₂×C₃×D₅	semidirect
701. C₄×D₄	C₂×C₃×D₅	semidirect
744. C₃×D₄	D₄×D₅	semidirect
745. C₃×D₄	#711	direct (N × H)
782. C₂²×C₅	C₂×C₃×#41	semidirect
795. C₄×C₅	C₂×C₃×#41	semidirect
881. C₃×C₅	D₄×#41	semidirect
898. C₂²×C₃	C₂×#711	semidirect
911. C₃×C₄	C₂×#711	semidirect
946. D₄	C₃×D₄×D₅	semidirect
947. D₄	C₃×#711	direct (N × H)
983. C₅	C₃×D₄×#41	semidirect
1000. C₂²	C₂×C₃×#711	semidirect
1013. C₄	C₂×C₃×#711	semidirect
1014. C₃	D₄×#711	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×C₃×#711	2
C₃×C₅×D₄²	2
C₃×#66140	2
C₃×D₄×C₂²⋊D₅	2
C₂×C₃×D₄×Dic₅	2
C₃×#66052	2
C₃×#66050	2
C₃×#65945	2
C₃×#65940	2
C₃×#65932	2
C₃×#65930	2
C₃×#65925	2
C₃×#65920	2
C₃×#65889	2
C₃×C₄×D₄×D₅	2
C₃×D₄×Dic₁₀	2
C₃×C₄×#711	2
D₄×#711	3
C₃×D₄×#41	5

Subgroups — C3×D4×#711 #14483031

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₄×#711 #14483031