Subgroups — C₃×#10618139 #14483043

Order 1920.

3296 conjugacy classes of subgroups.

The subgroup lattice has 1024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₅×#41	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×#532	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66162	C₂	1	2	yes	maximal, complemented
4	C₃×#66061	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#66060	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#66052	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#66051	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#66011	C₂	1	2	yes	maximal, complemented
9	C₃×#66010	C₂	1	2	yes	maximal, complemented
10	C₃×#65945	C₂	1	2	yes	maximal, complemented
11	C₃×#65944	C₂	1	4	yes	maximal, complemented
12	C₃×#65943	C₂	1	2	yes	maximal, complemented
13	C₃×#65882	C₂	1	2	yes	maximal, complemented
14	C₃×#65881	C₂	1	4	yes	maximal, complemented
15	C₃×C₄×D₄×D₅	C₂	1	2	yes	maximal, complemented
16	C₃×C₄×#709	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₃×C₄×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
18	#10618139	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
19	C₂×C₃×C₅×#41	C₂²	1	2	yes	complemented
20	C₃×D₅×#41	—	2	16	no	—
21	C₂×C₃×#713	C₂²	1	2	yes	complemented
22	C₂×C₃×Q₈×D₅	C₂²	1	2	yes	complemented
23	C₂×C₃×#711	C₂²	1	4	yes	complemented
24	C₂×C₃×#711	C₂²	1	2	yes	complemented
25	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
26	C₂×C₃×D₄×D₅	C₂²	1	4	yes	complemented
27	C₂×C₃×D₄×D₅	C₂²	1	2	yes	complemented
28	C₂×C₃×#709	C₂²	1	1	yes	characteristic
29	C₂×C₃×#709	C₂²	1	4	yes	complemented
30	C₂²×C₃×D₂₀	C₂²	1	1	yes	characteristic
31	C₂²×C₃×C₄×D₅	C₂²	1	4	yes	complemented
32	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
33	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#127	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#124	C₂²	1	2	yes	complemented
36	C₃×C₅×#121	C₂²	1	2	yes	complemented
37	C₃×C₅×#121	C₂²	1	2	yes	complemented
38	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
39	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
41	C₃×#4092	C₂²	1	2	yes	complemented
42	C₃×#4092	C₂²	1	2	yes	complemented
43	C₃×#4086	C₂²	1	2	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×#4083	C₂²	1	4	yes	complemented
50	C₃×#4081	C₂²	1	4	yes	complemented
51	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
52	C₃×C₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
53	C₃×C₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
54	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
55	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
56	C₂×C₃×#685	C₂²	1	2	yes	complemented
57	C₃×#4072	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
59	C₃×#4042	C₂²	1	4	yes	complemented
60	C₃×#4041	C₂²	1	2	yes	complemented
61	C₃×#4040	C₂²	1	4	yes	complemented
62	C₃×#4039	C₂²	1	2	yes	—
63	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
64	C₃×#4034	C₂²	1	2	yes	complemented
65	C₃×#4031	C₂²	1	4	yes	complemented
66	C₃×#4030	C₂²	1	4	yes	complemented
67	C₃×#4030	C₂²	1	4	yes	complemented
68	C₃×#4029	C₂²	1	4	yes	complemented
69	C₃×#4028	C₂²	1	4	yes	complemented
70	C₃×#4027	C₂²	1	4	yes	complemented
71	C₃×D₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
72	C₃×#4024	C₂²	1	4	yes	complemented
73	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
74	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
75	C₃×C₄×D₂₀	C₂²	1	2	yes	complemented
76	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
78	C₃×C₄×D₂₀	C₂²	1	2	yes	complemented
79	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
80	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
81	C₃×#4018	C₂²	1	2	yes	complemented
82	C₃×C₄²×D₅	C₂²	1	2	yes	complemented
83	C₃×C₄×Dic₁₀	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	C₂×D₅×#41	C₂×C₃	1	2	yes	complemented
87	C₅×#532	C₂×C₃	1	1	yes	characteristic, complemented
88	#66162	C₂×C₃	1	2	yes	complemented
89	#66061	C₂×C₃	1	1	yes	characteristic, complemented
90	#66060	C₂×C₃	1	1	yes	characteristic, complemented
91	#66052	C₂×C₃	1	1	yes	characteristic, complemented
92	#66051	C₂×C₃	1	1	yes	characteristic, complemented
93	#66011	C₂×C₃	1	2	yes	complemented
94	#66010	C₂×C₃	1	2	yes	complemented
95	#65945	C₂×C₃	1	2	yes	complemented
96	#65944	C₂×C₃	1	4	yes	complemented
97	#65943	C₂×C₃	1	2	yes	complemented
98	#65882	C₂×C₃	1	2	yes	complemented
99	#65881	C₂×C₃	1	4	yes	complemented
100	C₄×D₄×D₅	C₂×C₃	1	2	yes	complemented
101	C₄×#709	C₂×C₃	1	1	yes	characteristic, complemented
102	C₂×C₄×D₂₀	C₂×C₃	1	1	yes	characteristic, complemented
103	C₂³×C₃×D₅	C₂³	1	2	yes	—
104	C₂³×C₃×D₅	C₂³	1	4	yes	—
105	C₃×C₅×#41	—	2	8	no	—
106	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
107	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
108	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
109	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
110	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
111	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
112	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
113	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
114	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
115	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
116	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
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	C₂²×C₃×Dic₅	C₂³	1	4	yes	—
121	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
122	C₃×#713	—	2	8	no	—
123	C₃×Q₈×D₅	—	2	8	no	—
124	C₃×#711	—	2	16	no	—
125	C₃×#711	—	2	8	no	—
126	C₃×D₄×D₅	—	2	16	no	—
127	C₃×D₄×D₅	—	2	8	no	—
128	C₃×D₄×D₅	—	2	8	no	—
129	C₃×#709	—	2	16	no	—
130	C₃×#709	D₄	1	8	yes	complemented
131	C₂×C₃×D₂₀	—	2	4	no	—
132	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
133	C₂×C₃×D₂₀	C₂³	1	2	yes	—
134	C₂×C₃×D₂₀	C₂³	1	4	yes	—
135	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
136	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
137	C₂×C₃×C₄×D₅	—	2	8	no	—
138	C₂×C₃×C₄×D₅	—	2	16	no	—
139	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
140	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
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	4	yes	—
145	C₂×C₃×C₄×D₅	C₂³	1	4	yes	—
146	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
147	C₂×C₃×C₄×D₅	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	2	yes	—
151	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
152	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
153	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
154	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
155	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
156	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
157	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
158	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
159	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
160	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
161	C₃×#685	C₂³	1	2	yes	—
162	C₃×#685	C₂³	1	2	yes	—
163	C₃×#685	C₂³	1	4	yes	—
164	C₃×#685	C₂³	1	4	yes	—
165	C₃×#685	C₂³	1	2	yes	—
166	C₃×#685	C₂³	1	2	yes	—
167	C₃×#685	C₂³	1	2	yes	—
168	C₃×#685	C₂³	1	2	yes	—
169	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
170	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
171	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
172	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
173	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
174	C₃×#683	C₂³	1	4	yes	—
175	C₃×#683	C₂³	1	4	yes	—
176	C₃×#683	C₂³	1	2	yes	—
177	C₃×#683	C₂³	1	2	yes	—
178	C₃×C₄×Dic₅	C₂³	1	2	yes	—
179	C₃×C₄×Dic₅	C₂³	1	2	yes	—
180	C₃×C₄×Dic₅	C₂³	1	2	yes	—
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	1	no	—
186	C₃×#547	—	5	2	no	—
187	C₃×#546	—	5	2	no	—
188	C₃×#546	—	5	4	no	—
189	C₃×D₄²	—	5	1	no	—
190	C₃×D₄²	—	5	2	no	—
191	C₃×#532	—	5	2	no	—
192	C₃×#532	D₅	1	1	yes	characteristic, complemented
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	C₂×C₅×#41	C₂²×C₃	1	2	yes	complemented
199	D₅×#41	—	2	16	no	—
200	C₂×#713	C₂²×C₃	1	2	yes	complemented
201	C₂×Q₈×D₅	C₂²×C₃	1	2	yes	complemented
202	C₂×#711	C₂²×C₃	1	2	yes	complemented
203	C₂×#711	C₂²×C₃	1	4	yes	complemented
204	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
205	C₂×D₄×D₅	C₂²×C₃	1	2	yes	complemented
206	C₂×D₄×D₅	C₂²×C₃	1	4	yes	complemented
207	C₂×#709	C₂²×C₃	1	1	yes	characteristic
208	C₂×#709	C₂²×C₃	1	4	yes	complemented
209	C₂²×D₂₀	C₂²×C₃	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
211	C₂²×C₄×D₅	C₂²×C₃	1	4	yes	complemented
212	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
213	C₅×#127	C₂²×C₃	1	1	yes	characteristic, complemented
214	C₅×#124	C₂²×C₃	1	2	yes	complemented
215	C₅×#121	C₂²×C₃	1	2	yes	complemented
216	C₅×#121	C₂²×C₃	1	2	yes	complemented
217	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
218	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
219	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
220	#4092	C₂²×C₃	1	2	yes	complemented
221	#4092	C₂²×C₃	1	2	yes	complemented
222	#4086	C₂²×C₃	1	2	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	#4083	C₂²×C₃	1	4	yes	complemented
229	#4081	C₂²×C₃	1	4	yes	complemented
230	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
231	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
232	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
233	C₄×C₂²⋊D₅	C₂²×C₃	1	4	yes	complemented
234	C₄×C₂²⋊D₅	C₂²×C₃	1	4	yes	complemented
235	C₂×#685	C₂²×C₃	1	2	yes	complemented
236	#4072	C₂²×C₃	1	1	yes	characteristic, complemented
237	C₂×C₄⋊Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
238	#4042	C₂²×C₃	1	4	yes	complemented
239	#4041	C₂²×C₃	1	2	yes	complemented
240	#4040	C₂²×C₃	1	4	yes	complemented
241	#4039	C₂²×C₃	1	2	yes	—
242	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
243	#4034	C₂²×C₃	1	2	yes	complemented
244	#4031	C₂²×C₃	1	4	yes	complemented
245	#4030	C₂²×C₃	1	4	yes	complemented
246	#4030	C₂²×C₃	1	4	yes	complemented
247	#4029	C₂²×C₃	1	4	yes	complemented
248	#4028	C₂²×C₃	1	4	yes	complemented
249	#4027	C₂²×C₃	1	4	yes	complemented
250	D₅×C₂²⋊C₄	C₂²×C₃	1	4	yes	complemented
251	#4024	C₂²×C₃	1	4	yes	complemented
252	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
253	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
254	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
255	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
256	C₄×D₂₀	C₂²×C₃	1	2	yes	complemented
257	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
258	C₄×D₂₀	C₂²×C₃	1	2	yes	complemented
259	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
260	#4018	C₂²×C₃	1	2	yes	complemented
261	C₄²×D₅	C₂²×C₃	1	2	yes	complemented
262	C₄×Dic₁₀	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	C₂⁴	1	4	yes	—
266	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
267	C₂²×C₃×D₅	—	2	4	no	—
268	C₂²×C₃×D₅	—	2	8	no	—
269	C₂²×C₃×D₅	—	2	4	no	—
270	C₂²×C₃×D₅	—	2	8	no	—
271	C₂²×C₃×D₅	—	4	4	no	—
272	C₂²×C₃×D₅	—	4	2	no	—
273	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
274	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
275	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
276	C₃×C₅×Q₈	—	2	4	no	—
277	C₃×C₅×D₄	—	2	8	no	—
278	C₃×C₅×D₄	—	2	4	no	—
279	C₃×C₅×D₄	—	2	4	no	—
280	C₃×C₅×D₄	—	4	2	no	—
281	C₂×C₃×C₄×C₅	—	2	8	no	—
282	C₂×C₃×C₄×C₅	—	2	2	no	—
283	C₂×C₃×C₄×C₅	—	4	1	no	—
284	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	complemented
285	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
286	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
287	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
288	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
289	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
290	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
291	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
292	C₃×C₂²⋊D₅	—	2	8	no	—
293	C₃×C₂²⋊D₅	—	2	8	no	—
294	C₃×C₂²⋊D₅	—	2	8	no	—
295	C₃×C₂²⋊D₅	—	4	4	no	—
296	C₃×C₂²⋊D₅	C₂×D₄	1	8	yes	complemented
297	C₂×C₃×Dic₅	—	2	4	no	—
298	C₂×C₃×Dic₅	—	2	8	no	—
299	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
300	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
301	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
302	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
303	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
304	C₃×D₂₀	—	2	8	no	—
305	C₃×D₂₀	—	2	4	no	—
306	C₃×D₂₀	—	2	2	no	—
307	C₃×D₂₀	C₂×D₄	1	4	yes	complemented
308	C₃×D₂₀	#41	1	4	yes	complemented
309	C₃×C₄×D₅	—	2	8	no	—
310	C₃×C₄×D₅	—	2	4	no	—
311	C₃×C₄×D₅	—	2	4	no	—
312	C₃×C₄×D₅	—	2	4	no	—
313	C₃×C₄×D₅	—	2	4	no	—
314	C₃×C₄×D₅	—	2	4	no	—
315	C₃×C₄×D₅	—	2	8	no	—
316	C₃×C₄×D₅	—	4	2	no	—
317	C₃×C₄×D₅	C₂×D₄	1	8	yes	complemented
318	C₃×Dic₁₀	—	2	8	no	—
319	C₃×Dic₁₀	C₂×D₄	1	4	yes	complemented
320	C₂×C₃×#41	—	5	2	no	—
321	C₂×C₃×#41	—	5	4	no	—
322	C₂×C₃×#41	—	5	2	no	—
323	C₂×C₃×#41	—	5	1	no	—
324	C₂×C₃×#41	—	5	4	no	—
325	C₂×C₃×#41	—	10	16	no	—
326	C₂×C₃×#41	C₂×D₅	1	2	yes	complemented
327	C₂²×C₃×Q₈	—	5	2	no	—
328	C₂²×C₃×D₄	—	5	4	no	—
329	C₂²×C₃×D₄	—	5	2	no	—
330	C₂²×C₃×D₄	—	5	2	no	—
331	C₂²×C₃×D₄	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
336	C₃×#127	—	5	2	no	—
337	C₃×#127	C₂×D₅	1	1	yes	characteristic, complemented
338	C₃×#124	—	5	4	no	—
339	C₃×#124	C₂×D₅	1	2	yes	complemented
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	2	no	—
352	C₃×#121	—	5	4	no	—
353	C₃×#121	—	5	4	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	—	5	4	no	—
359	C₃×C₄×Q₈	—	5	1	no	—
360	C₃×C₄×Q₈	—	5	1	no	—
361	C₃×C₄×D₄	—	5	2	no	—
362	C₃×C₄×D₄	—	5	4	no	—
363	C₃×C₄×D₄	—	5	2	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	4	no	—
368	C₃×C₄×D₄	—	5	1	no	—
369	C₃×C₄×D₄	—	5	1	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	1	no	—
374	C₃×C₄×D₄	—	5	1	no	—
375	C₃×C₄×D₄	—	5	1	no	—
376	C₃×C₄×D₄	C₂×D₅	1	2	yes	complemented
377	C₃×C₄×D₄	C₂×D₅	1	2	yes	complemented
378	C₃×#117	—	5	1	no	—
379	C₃×#117	—	5	2	no	—
380	C₂×C₃×C₄⋊C₄	—	5	1	no	—
381	C₂×C₃×C₄⋊C₄	—	5	2	no	—
382	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
383	C₂×C₃×C₂²⋊C₄	—	5	4	no	—
384	C₂×C₃×C₄²	—	5	2	no	—
385	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic, complemented
386	C₂³×D₅	C₂³×C₃	1	2	yes	—
387	C₂³×D₅	C₂³×C₃	1	4	yes	—
388	C₅×#41	—	2	8	no	—
389	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
390	C₂×C₅×D₄	C₂³×C₃	1	2	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	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂³×C₃	1	4	yes	—
396	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
398	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
399	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
400	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
401	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
402	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
403	C₂²×Dic₅	C₂³×C₃	1	4	yes	—
404	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
405	#713	—	2	8	no	—
406	Q₈×D₅	—	2	8	no	—
407	#711	—	2	16	no	—
408	#711	—	2	8	no	—
409	D₄×D₅	—	2	16	no	—
410	D₄×D₅	—	2	8	no	—
411	D₄×D₅	—	2	8	no	—
412	#709	—	2	16	no	—
413	#709	C₃×D₄	1	8	yes	complemented
414	C₂×D₂₀	—	2	4	no	—
415	C₂×D₂₀	C₂³×C₃	1	2	yes	—
416	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
417	C₂×D₂₀	C₂³×C₃	1	4	yes	—
418	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
419	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
420	C₂×C₄×D₅	—	2	8	no	—
421	C₂×C₄×D₅	—	2	16	no	—
422	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
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	4	yes	—
426	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
427	C₂×C₄×D₅	C₂³×C₃	1	4	yes	—
428	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
429	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
430	C₂×C₄×D₅	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	2	yes	—
434	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
435	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
436	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
437	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
438	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
439	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
440	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
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	#685	C₂³×C₃	1	2	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	2	yes	—
449	#685	C₂³×C₃	1	2	yes	—
450	#685	C₂³×C₃	1	4	yes	—
451	#685	C₂³×C₃	1	4	yes	—
452	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
453	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
454	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
455	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
456	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
457	#683	C₂³×C₃	1	2	yes	—
458	#683	C₂³×C₃	1	2	yes	—
459	#683	C₂³×C₃	1	4	yes	—
460	#683	C₂³×C₃	1	4	yes	—
461	C₄×Dic₅	C₂³×C₃	1	2	yes	—
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	1	no	—
469	#547	—	5	2	no	—
470	#546	—	5	2	no	—
471	#546	—	5	4	no	—
472	D₄²	—	5	1	no	—
473	D₄²	—	5	2	no	—
474	#532	—	5	2	no	—
475	#532	C₃×D₅	1	1	yes	characteristic, complemented
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	1	no	—
482	C₂²×C₃×C₅	—	2	1	no	—
483	C₂²×C₃×C₅	—	2	4	no	—
484	C₂²×C₃×C₅	—	2	4	no	—
485	C₂²×C₃×C₅	—	2	4	no	—
486	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
487	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
488	C₂×C₃×D₅	—	2	2	no	—
489	C₂×C₃×D₅	—	2	2	no	—
490	C₂×C₃×D₅	—	2	2	no	—
491	C₂×C₃×D₅	—	2	2	no	—
492	C₂×C₃×D₅	—	2	2	no	—
493	C₂×C₃×D₅	—	2	2	no	—
494	C₂×C₃×D₅	—	2	2	no	—
495	C₂×C₃×D₅	—	4	16	no	—
496	C₂×C₃×D₅	—	4	8	no	—
497	C₂×C₃×D₅	C₂²×D₄	1	4	yes	—
498	C₂×C₃×D₅	C₂×#41	1	4	yes	complemented
499	C₃×C₄×C₅	—	2	4	no	—
500	C₃×C₄×C₅	—	2	1	no	—
501	C₃×C₄×C₅	—	2	1	no	—
502	C₃×C₄×C₅	—	2	1	no	—
503	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
504	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
505	C₃×C₄×C₅	C₂×#41	1	2	yes	complemented
506	C₃×Dic₅	—	2	2	no	—
507	C₃×Dic₅	—	2	2	no	—
508	C₃×Dic₅	—	2	2	no	—
509	C₃×Dic₅	—	2	2	no	—
510	C₃×Dic₅	C₂²×D₄	1	4	yes	—
511	C₂⁴×C₃	—	5	4	no	—
512	C₂⁴×C₃	—	5	2	no	—
513	C₃×#41	—	2	8	no	—
514	C₃×#41	—	5	8	no	—
515	C₃×#41	—	10	16	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	—	10	8	no	—
522	C₂×C₃×Q₈	C₂²×D₅	1	2	yes	—
523	C₂×C₃×D₄	—	5	2	no	—
524	C₂×C₃×D₄	—	5	4	no	—
525	C₂×C₃×D₄	—	5	4	no	—
526	C₂×C₃×D₄	—	5	4	no	—
527	C₂×C₃×D₄	—	5	4	no	—
528	C₂×C₃×D₄	—	5	1	no	—
529	C₂×C₃×D₄	—	5	1	no	—
530	C₂×C₃×D₄	—	5	2	no	—
531	C₂×C₃×D₄	—	5	1	no	—
532	C₂×C₃×D₄	—	5	4	no	—
533	C₂×C₃×D₄	—	10	4	no	—
534	C₂×C₃×D₄	—	10	8	no	—
535	C₂×C₃×D₄	—	10	16	no	—
536	C₂×C₃×D₄	—	10	8	no	—
537	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
538	C₂×C₃×D₄	C₂²×D₅	1	4	yes	—
539	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
540	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
541	C₂²×C₃×C₄	—	5	2	no	—
542	C₂²×C₃×C₄	—	5	2	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	2	no	—
548	C₂²×C₃×C₄	—	5	2	no	—
549	C₂²×C₃×C₄	—	5	2	no	—
550	C₂²×C₃×C₄	—	5	2	no	—
551	C₂²×C₃×C₄	—	5	2	no	—
552	C₂²×C₃×C₄	—	10	16	no	—
553	C₂²×C₃×C₄	—	10	8	no	—
554	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
555	C₂²×C₃×C₄	C₂²×D₅	1	4	yes	—
556	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
557	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
558	C₃×C₄⋊C₄	—	5	4	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	1	no	—
564	C₃×C₄⋊C₄	—	5	2	no	—
565	C₃×C₄⋊C₄	—	5	1	no	—
566	C₃×C₄⋊C₄	—	5	1	no	—
567	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
568	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
569	C₃×C₂²⋊C₄	—	5	4	no	—
570	C₃×C₂²⋊C₄	—	5	2	no	—
571	C₃×C₂²⋊C₄	—	5	4	no	—
572	C₃×C₂²⋊C₄	—	5	2	no	—
573	C₃×C₂²⋊C₄	—	5	4	no	—
574	C₃×C₂²⋊C₄	—	5	2	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	2	no	—
579	C₃×C₂²⋊C₄	—	5	4	no	—
580	C₃×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
581	C₃×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
582	C₃×C₄²	—	5	2	no	—
583	C₃×C₄²	—	5	2	no	—
584	C₃×C₄²	—	5	2	no	—
585	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
586	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
587	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
588	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
589	C₂³×C₅	C₂⁴×C₃	1	4	yes	—
590	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
591	C₂²×D₅	—	2	4	no	—
592	C₂²×D₅	—	2	8	no	—
593	C₂²×D₅	—	2	4	no	—
594	C₂²×D₅	—	2	8	no	—
595	C₂²×D₅	—	4	4	no	—
596	C₂²×D₅	—	4	2	no	—
597	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
598	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
599	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
600	C₅×Q₈	—	2	4	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	C₂×C₄×C₅	—	2	8	no	—
606	C₂×C₄×C₅	—	2	2	no	—
607	C₂×C₄×C₅	—	4	1	no	—
608	C₂×C₄×C₅	C₂×C₃×D₄	1	4	yes	complemented
609	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
610	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
611	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
612	C₂×C₄×C₅	C₂⁴×C₃	1	4	yes	—
613	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
614	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
615	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
616	C₂²⋊D₅	—	2	8	no	—
617	C₂²⋊D₅	—	2	8	no	—
618	C₂²⋊D₅	—	2	8	no	—
619	C₂²⋊D₅	—	4	4	no	—
620	C₂²⋊D₅	C₂×C₃×D₄	1	8	yes	complemented
621	C₂×Dic₅	—	2	4	no	—
622	C₂×Dic₅	—	2	8	no	—
623	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
624	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
625	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
626	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
627	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
628	D₂₀	—	2	8	no	—
629	D₂₀	—	2	4	no	—
630	D₂₀	—	2	2	no	—
631	D₂₀	C₂×C₃×D₄	1	4	yes	complemented
632	D₂₀	C₃×#41	1	4	yes	complemented
633	C₄×D₅	—	2	8	no	—
634	C₄×D₅	—	2	4	no	—
635	C₄×D₅	—	2	4	no	—
636	C₄×D₅	—	2	4	no	—
637	C₄×D₅	—	2	4	no	—
638	C₄×D₅	—	2	4	no	—
639	C₄×D₅	—	2	8	no	—
640	C₄×D₅	—	4	2	no	—
641	C₄×D₅	C₂×C₃×D₄	1	8	yes	complemented
642	Dic₁₀	—	2	8	no	—
643	Dic₁₀	C₂×C₃×D₄	1	4	yes	complemented
644	C₂×#41	—	5	2	no	—
645	C₂×#41	—	5	4	no	—
646	C₂×#41	—	5	2	no	—
647	C₂×#41	—	5	1	no	—
648	C₂×#41	—	5	4	no	—
649	C₂×#41	—	10	16	no	—
650	C₂×#41	C₂×C₃×D₅	1	2	yes	complemented
651	C₂²×Q₈	—	5	2	no	—
652	C₂²×D₄	—	5	2	no	—
653	C₂²×D₄	—	5	4	no	—
654	C₂²×D₄	—	5	2	no	—
655	C₂²×D₄	—	5	1	no	—
656	C₂³×C₄	—	5	4	no	—
657	C₂³×C₄	—	5	2	no	—
658	C₄⋊Q₈	—	5	2	no	—
659	C₄⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
660	#127	—	5	2	no	—
661	#127	C₂×C₃×D₅	1	1	yes	characteristic, complemented
662	#124	—	5	4	no	—
663	#124	C₂×C₃×D₅	1	2	yes	complemented
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	2	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	4	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	—	5	4	no	—
683	C₄×Q₈	—	5	1	no	—
684	C₄×Q₈	—	5	1	no	—
685	C₄×D₄	—	5	2	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	4	no	—
692	C₄×D₄	—	5	1	no	—
693	C₄×D₄	—	5	2	no	—
694	C₄×D₄	—	5	1	no	—
695	C₄×D₄	—	5	1	no	—
696	C₄×D₄	—	5	2	no	—
697	C₄×D₄	—	5	1	no	—
698	C₄×D₄	—	5	1	no	—
699	C₄×D₄	—	5	1	no	—
700	C₄×D₄	C₂×C₃×D₅	1	2	yes	complemented
701	C₄×D₄	C₂×C₃×D₅	1	2	yes	complemented
702	#117	—	5	1	no	—
703	#117	—	5	2	no	—
704	C₂×C₄⋊C₄	—	5	1	no	—
705	C₂×C₄⋊C₄	—	5	2	no	—
706	C₂×C₂²⋊C₄	—	5	2	no	—
707	C₂×C₂²⋊C₄	—	5	4	no	—
708	C₂×C₄²	—	5	2	no	—
709	C₂×C₄²	C₂×C₃×D₅	1	1	yes	characteristic, complemented
710	C₂×C₃×C₅	—	2	2	no	—
711	C₂×C₃×C₅	—	4	4	no	—
712	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
713	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
714	C₂×C₃×C₅	#585	1	1	yes	characteristic
715	C₃×D₅	—	2	4	no	—
716	C₃×D₅	—	2	4	no	—
717	C₃×D₅	—	4	2	no	—
718	C₂³×C₃	—	5	2	no	—
719	C₂³×C₃	—	5	2	no	—
720	C₂³×C₃	—	5	2	no	—
721	C₂³×C₃	—	10	8	no	—
722	C₂³×C₃	—	10	4	no	—
723	C₂³×C₃	—	10	8	no	—
724	C₂³×C₃	—	10	4	no	—
725	C₂³×C₃	—	20	2	no	—
726	C₂³×C₃	—	20	4	no	—
727	C₂³×C₃	C₂³×D₅	1	4	yes	—
728	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
729	C₃×Q₈	—	2	4	no	—
730	C₃×Q₈	—	5	4	no	—
731	C₃×Q₈	—	10	8	no	—
732	C₃×D₄	—	2	8	no	—
733	C₃×D₄	—	2	4	no	—
734	C₃×D₄	—	2	4	no	—
735	C₃×D₄	—	4	2	no	—
736	C₃×D₄	—	5	8	no	—
737	C₃×D₄	—	5	4	no	—
738	C₃×D₄	—	5	4	no	—
739	C₃×D₄	—	10	4	no	—
740	C₃×D₄	—	10	8	no	—
741	C₃×D₄	—	10	8	no	—
742	C₃×D₄	—	10	8	no	—
743	C₃×D₄	—	10	8	no	—
744	C₃×D₄	—	10	2	no	—
745	C₃×D₄	—	20	4	no	—
746	C₂×C₃×C₄	—	2	8	no	—
747	C₂×C₃×C₄	—	2	2	no	—
748	C₂×C₃×C₄	—	4	1	no	—
749	C₂×C₃×C₄	—	5	2	no	—
750	C₂×C₃×C₄	—	5	8	no	—
751	C₂×C₃×C₄	—	5	2	no	—
752	C₂×C₃×C₄	—	5	2	no	—
753	C₂×C₃×C₄	—	5	2	no	—
754	C₂×C₃×C₄	—	5	2	no	—
755	C₂×C₃×C₄	—	10	8	no	—
756	C₂×C₃×C₄	—	10	8	no	—
757	C₂×C₃×C₄	—	10	8	no	—
758	C₂×C₃×C₄	—	10	4	no	—
759	C₂×C₃×C₄	—	10	4	no	—
760	C₂×C₃×C₄	—	10	4	no	—
761	C₂×C₃×C₄	—	10	4	no	—
762	C₂×C₃×C₄	—	10	4	no	—
763	C₂×C₃×C₄	—	10	4	no	—
764	C₂×C₃×C₄	—	20	2	no	—
765	C₂×C₃×C₄	D₄×D₅	1	4	yes	complemented
766	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
767	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
768	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
769	C₂×C₃×C₄	C₂³×D₅	1	4	yes	—
770	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
771	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
772	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
773	C₂²×C₅	—	2	1	no	—
774	C₂²×C₅	—	2	1	no	—
775	C₂²×C₅	—	2	4	no	—
776	C₂²×C₅	—	2	4	no	—
777	C₂²×C₅	—	2	4	no	—
778	C₂²×C₅	C₂²×C₃×D₄	1	2	yes	—
779	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
780	C₂×D₅	—	2	2	no	—
781	C₂×D₅	—	2	2	no	—
782	C₂×D₅	—	2	2	no	—
783	C₂×D₅	—	2	2	no	—
784	C₂×D₅	—	2	2	no	—
785	C₂×D₅	—	2	2	no	—
786	C₂×D₅	—	2	2	no	—
787	C₂×D₅	—	4	16	no	—
788	C₂×D₅	—	4	8	no	—
789	C₂×D₅	C₂²×C₃×D₄	1	4	yes	—
790	C₂×D₅	C₂×C₃×#41	1	4	yes	complemented
791	C₄×C₅	—	2	4	no	—
792	C₄×C₅	—	2	1	no	—
793	C₄×C₅	—	2	1	no	—
794	C₄×C₅	—	2	1	no	—
795	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
796	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
797	C₄×C₅	C₂×C₃×#41	1	2	yes	complemented
798	Dic₅	—	2	2	no	—
799	Dic₅	—	2	2	no	—
800	Dic₅	—	2	2	no	—
801	Dic₅	—	2	2	no	—
802	Dic₅	C₂²×C₃×D₄	1	4	yes	—
803	C₂⁴	—	5	4	no	—
804	C₂⁴	—	5	2	no	—
805	#41	—	2	8	no	—
806	#41	—	5	8	no	—
807	#41	—	10	16	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	—	10	8	no	—
814	C₂×Q₈	C₂²×C₃×D₅	1	2	yes	—
815	C₂×D₄	—	5	2	no	—
816	C₂×D₄	—	5	4	no	—
817	C₂×D₄	—	5	4	no	—
818	C₂×D₄	—	5	4	no	—
819	C₂×D₄	—	5	4	no	—
820	C₂×D₄	—	5	1	no	—
821	C₂×D₄	—	5	1	no	—
822	C₂×D₄	—	5	2	no	—
823	C₂×D₄	—	5	1	no	—
824	C₂×D₄	—	5	4	no	—
825	C₂×D₄	—	10	4	no	—
826	C₂×D₄	—	10	16	no	—
827	C₂×D₄	—	10	8	no	—
828	C₂×D₄	—	10	8	no	—
829	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
830	C₂×D₄	C₂²×C₃×D₅	1	4	yes	—
831	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
832	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
833	C₂²×C₄	—	5	2	no	—
834	C₂²×C₄	—	5	2	no	—
835	C₂²×C₄	—	5	4	no	—
836	C₂²×C₄	—	5	2	no	—
837	C₂²×C₄	—	5	4	no	—
838	C₂²×C₄	—	5	2	no	—
839	C₂²×C₄	—	5	2	no	—
840	C₂²×C₄	—	5	4	no	—
841	C₂²×C₄	—	5	2	no	—
842	C₂²×C₄	—	5	2	no	—
843	C₂²×C₄	—	5	2	no	—
844	C₂²×C₄	—	10	16	no	—
845	C₂²×C₄	—	10	8	no	—
846	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
847	C₂²×C₄	C₂²×C₃×D₅	1	4	yes	—
848	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
849	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
850	C₄⋊C₄	—	5	1	no	—
851	C₄⋊C₄	—	5	1	no	—
852	C₄⋊C₄	—	5	4	no	—
853	C₄⋊C₄	—	5	2	no	—
854	C₄⋊C₄	—	5	2	no	—
855	C₄⋊C₄	—	5	2	no	—
856	C₄⋊C₄	—	5	1	no	—
857	C₄⋊C₄	—	5	1	no	—
858	C₄⋊C₄	—	5	4	no	—
859	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
860	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
861	C₂²⋊C₄	—	5	4	no	—
862	C₂²⋊C₄	—	5	2	no	—
863	C₂²⋊C₄	—	5	4	no	—
864	C₂²⋊C₄	—	5	2	no	—
865	C₂²⋊C₄	—	5	4	no	—
866	C₂²⋊C₄	—	5	2	no	—
867	C₂²⋊C₄	—	5	2	no	—
868	C₂²⋊C₄	—	5	2	no	—
869	C₂²⋊C₄	—	5	2	no	—
870	C₂²⋊C₄	—	5	2	no	—
871	C₂²⋊C₄	—	5	4	no	—
872	C₂²⋊C₄	C₂²×C₃×D₅	1	4	yes	—
873	C₂²⋊C₄	C₂²×C₃×D₅	1	4	yes	—
874	C₄²	—	5	2	no	—
875	C₄²	—	5	2	no	—
876	C₄²	—	5	2	no	—
877	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
878	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
879	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
880	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
881	C₃×C₅	D₄×#41	1	1	yes	characteristic, complemented, Hall
882	C₂²×C₃	—	2	1	no	—
883	C₂²×C₃	—	2	1	no	—
884	C₂²×C₃	—	2	4	no	—
885	C₂²×C₃	—	2	4	no	—
886	C₂²×C₃	—	2	4	no	—
887	C₂²×C₃	—	5	4	no	—
888	C₂²×C₃	—	5	4	no	—
889	C₂²×C₃	—	10	2	no	—
890	C₂²×C₃	—	10	2	no	—
891	C₂²×C₃	—	10	2	no	—
892	C₂²×C₃	—	10	2	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	—	20	16	no	—
898	C₂²×C₃	C₂×D₄×D₅	1	2	yes	—
899	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
900	C₃×C₄	—	2	4	no	—
901	C₃×C₄	—	2	1	no	—
902	C₃×C₄	—	2	1	no	—
903	C₃×C₄	—	2	1	no	—
904	C₃×C₄	—	5	4	no	—
905	C₃×C₄	—	10	2	no	—
906	C₃×C₄	—	10	2	no	—
907	C₃×C₄	—	10	2	no	—
908	C₃×C₄	—	10	2	no	—
909	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
910	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
911	C₃×C₄	D₅×#41	1	2	yes	complemented
912	C₂×C₅	—	2	2	no	—
913	C₂×C₅	—	4	4	no	—
914	C₂×C₅	C₂³×C₃×D₄	1	1	yes	characteristic
915	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
916	C₂×C₅	C₃×#585	1	1	yes	characteristic
917	D₅	—	2	4	no	—
918	D₅	—	2	4	no	—
919	D₅	—	4	2	no	—
920	C₂³	—	5	2	no	—
921	C₂³	—	5	2	no	—
922	C₂³	—	5	2	no	—
923	C₂³	—	10	8	no	—
924	C₂³	—	10	4	no	—
925	C₂³	—	10	8	no	—
926	C₂³	—	10	4	no	—
927	C₂³	—	20	2	no	—
928	C₂³	—	20	4	no	—
929	C₂³	C₂³×C₃×D₅	1	4	yes	—
930	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
931	Q₈	—	2	4	no	—
932	Q₈	—	5	4	no	—
933	Q₈	—	10	8	no	—
934	D₄	—	2	8	no	—
935	D₄	—	2	4	no	—
936	D₄	—	2	4	no	—
937	D₄	—	4	2	no	—
938	D₄	—	5	8	no	—
939	D₄	—	5	4	no	—
940	D₄	—	5	4	no	—
941	D₄	—	10	8	no	—
942	D₄	—	10	4	no	—
943	D₄	—	10	8	no	—
944	D₄	—	10	8	no	—
945	D₄	—	10	8	no	—
946	D₄	—	10	2	no	—
947	D₄	—	20	4	no	—
948	C₂×C₄	—	2	8	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	4	1	no	—
951	C₂×C₄	—	5	2	no	—
952	C₂×C₄	—	5	8	no	—
953	C₂×C₄	—	5	2	no	—
954	C₂×C₄	—	5	2	no	—
955	C₂×C₄	—	5	2	no	—
956	C₂×C₄	—	5	2	no	—
957	C₂×C₄	—	10	8	no	—
958	C₂×C₄	—	10	8	no	—
959	C₂×C₄	—	10	8	no	—
960	C₂×C₄	—	10	4	no	—
961	C₂×C₄	—	10	4	no	—
962	C₂×C₄	—	10	4	no	—
963	C₂×C₄	—	10	4	no	—
964	C₂×C₄	—	10	4	no	—
965	C₂×C₄	—	10	4	no	—
966	C₂×C₄	—	20	2	no	—
967	C₂×C₄	C₃×D₄×D₅	1	4	yes	complemented
968	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
969	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
970	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
971	C₂×C₄	C₂³×C₃×D₅	1	4	yes	—
972	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
973	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
974	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
975	C₂×C₃	—	2	2	no	—
976	C₂×C₃	—	4	4	no	—
977	C₂×C₃	—	10	4	no	—
978	C₂×C₃	—	10	4	no	—
979	C₂×C₃	—	20	2	no	—
980	C₂×C₃	C₂²×D₄×D₅	1	1	yes	characteristic
981	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
982	C₂×C₃	#66283	1	1	yes	characteristic
983	C₅	C₃×D₄×#41	1	1	yes	characteristic, complemented, Sylow
984	C₂²	—	2	1	no	—
985	C₂²	—	2	1	no	—
986	C₂²	—	2	4	no	—
987	C₂²	—	2	4	no	—
988	C₂²	—	2	4	no	—
989	C₂²	—	5	4	no	—
990	C₂²	—	5	4	no	—
991	C₂²	—	10	2	no	—
992	C₂²	—	10	2	no	—
993	C₂²	—	10	2	no	—
994	C₂²	—	10	2	no	—
995	C₂²	—	10	2	no	—
996	C₂²	—	10	2	no	—
997	C₂²	—	10	2	no	—
998	C₂²	—	20	8	no	—
999	C₂²	—	20	16	no	—
1000	C₂²	C₂×C₃×D₄×D₅	1	2	yes	—
1001	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1002	C₄	—	2	4	no	—
1003	C₄	—	2	1	no	—
1004	C₄	—	2	1	no	—
1005	C₄	—	2	1	no	—
1006	C₄	—	5	4	no	—
1007	C₄	—	10	2	no	—
1008	C₄	—	10	2	no	—
1009	C₄	—	10	2	no	—
1010	C₄	—	10	2	no	—
1011	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1012	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1013	C₄	C₃×D₅×#41	1	2	yes	complemented
1014	C₃	#10618139	1	1	yes	characteristic, direct product factor, Sylow
1015	C₂	—	2	2	no	—
1016	C₂	—	4	4	no	—
1017	C₂	—	10	4	no	—
1018	C₂	—	10	4	no	—
1019	C₂	—	20	2	no	—
1020	C₂	C₂²×C₃×D₄×D₅	1	1	yes	characteristic
1021	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1022	C₂	C₃×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₃×C₅×#532	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#532	D₅
hypocenter	C₅	C₃×D₄×#41
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#532

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₅×#41	C₂	semidirect
2. C₃×C₅×#532	C₂	semidirect
3. C₃×#66162	C₂	semidirect
4. C₃×#66061	C₂	semidirect
5. C₃×#66060	C₂	semidirect
6. C₃×#66052	C₂	semidirect
7. C₃×#66051	C₂	semidirect
8. C₃×#66011	C₂	semidirect
9. C₃×#66010	C₂	semidirect
10. C₃×#65945	C₂	semidirect
11. C₃×#65944	C₂	semidirect
12. C₃×#65943	C₂	semidirect
13. C₃×#65882	C₂	semidirect
14. C₃×#65881	C₂	semidirect
15. C₃×C₄×D₄×D₅	C₂	semidirect
16. C₃×C₄×#709	C₂	semidirect
17. C₂×C₃×C₄×D₂₀	C₂	semidirect
18. #10618139	C₃	direct (N × H)
19. C₂×C₃×C₅×#41	C₂²	semidirect
21. C₂×C₃×#713	C₂²	semidirect
22. C₂×C₃×Q₈×D₅	C₂²	semidirect
23. C₂×C₃×#711	C₂²	semidirect
24. C₂×C₃×#711	C₂²	semidirect
26. C₂×C₃×D₄×D₅	C₂²	semidirect
27. C₂×C₃×D₄×D₅	C₂²	semidirect
29. C₂×C₃×#709	C₂²	semidirect
31. C₂²×C₃×C₄×D₅	C₂²	semidirect
32. C₂²×C₃×C₄×D₅	C₂²	semidirect
33. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
34. C₃×C₅×#127	C₂²	semidirect
35. C₃×C₅×#124	C₂²	semidirect
36. C₃×C₅×#121	C₂²	semidirect
37. C₃×C₅×#121	C₂²	semidirect
38. C₃×C₄×C₅×D₄	C₂²	semidirect
39. C₃×C₄×C₅×D₄	C₂²	semidirect
40. C₂×C₃×C₄²×C₅	C₂²	semidirect
41. C₃×#4092	C₂²	semidirect
42. C₃×#4092	C₂²	semidirect
43. C₃×#4086	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×#4083	C₂²	semidirect
50. C₃×#4081	C₂²	semidirect
51. C₃×D₄×Dic₅	C₂²	semidirect
52. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
53. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
54. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
55. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
56. C₂×C₃×#685	C₂²	semidirect
57. C₃×#4072	C₂²	semidirect
58. C₂×C₃×C₄⋊Dic₅	C₂²	semidirect
59. C₃×#4042	C₂²	semidirect
60. C₃×#4041	C₂²	semidirect
61. C₃×#4040	C₂²	semidirect
63. C₃×D₅×C₄⋊C₄	C₂²	semidirect
64. C₃×#4034	C₂²	semidirect
65. C₃×#4031	C₂²	semidirect
66. C₃×#4030	C₂²	semidirect
67. C₃×#4030	C₂²	semidirect
68. C₃×#4029	C₂²	semidirect
69. C₃×#4028	C₂²	semidirect
70. C₃×#4027	C₂²	semidirect
71. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
72. C₃×#4024	C₂²	semidirect
75. C₃×C₄×D₂₀	C₂²	semidirect
76. C₃×C₄×D₂₀	C₂²	semidirect
77. C₃×C₄×D₂₀	C₂²	semidirect
78. C₃×C₄×D₂₀	C₂²	semidirect
79. C₃×C₄×D₂₀	C₂²	semidirect
80. C₃×C₄×D₂₀	C₂²	semidirect
81. C₃×#4018	C₂²	semidirect
82. C₃×C₄²×D₅	C₂²	semidirect
83. C₃×C₄×Dic₁₀	C₂²	semidirect
84. C₃×C₄×Dic₁₀	C₂²	semidirect
86. C₂×D₅×#41	C₂×C₃	semidirect
87. C₅×#532	C₂×C₃	semidirect
88. #66162	C₂×C₃	semidirect
89. #66061	C₂×C₃	semidirect
90. #66060	C₂×C₃	semidirect
91. #66052	C₂×C₃	semidirect
92. #66051	C₂×C₃	semidirect
93. #66011	C₂×C₃	semidirect
94. #66010	C₂×C₃	semidirect
95. #65945	C₂×C₃	semidirect
96. #65944	C₂×C₃	semidirect
97. #65943	C₂×C₃	semidirect
98. #65882	C₂×C₃	semidirect
99. #65881	C₂×C₃	semidirect
100. C₄×D₄×D₅	C₂×C₃	semidirect
101. C₄×#709	C₂×C₃	semidirect
102. C₂×C₄×D₂₀	C₂×C₃	semidirect
130. C₃×#709	D₄	semidirect
192. C₃×#532	D₅	semidirect
198. C₂×C₅×#41	C₂²×C₃	semidirect
200. C₂×#713	C₂²×C₃	semidirect
201. C₂×Q₈×D₅	C₂²×C₃	semidirect
202. C₂×#711	C₂²×C₃	semidirect
203. C₂×#711	C₂²×C₃	semidirect
205. C₂×D₄×D₅	C₂²×C₃	semidirect
206. C₂×D₄×D₅	C₂²×C₃	semidirect
208. C₂×#709	C₂²×C₃	semidirect
210. C₂²×C₄×D₅	C₂²×C₃	semidirect
211. C₂²×C₄×D₅	C₂²×C₃	semidirect
212. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
213. C₅×#127	C₂²×C₃	semidirect
214. C₅×#124	C₂²×C₃	semidirect
215. C₅×#121	C₂²×C₃	semidirect
216. C₅×#121	C₂²×C₃	semidirect
217. C₄×C₅×D₄	C₂²×C₃	semidirect
218. C₄×C₅×D₄	C₂²×C₃	semidirect
219. C₂×C₄²×C₅	C₂²×C₃	semidirect
220. #4092	C₂²×C₃	semidirect
221. #4092	C₂²×C₃	semidirect
222. #4086	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. #4083	C₂²×C₃	semidirect
229. #4081	C₂²×C₃	semidirect
230. D₄×Dic₅	C₂²×C₃	semidirect
231. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
232. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
233. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
234. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
235. C₂×#685	C₂²×C₃	semidirect
236. #4072	C₂²×C₃	semidirect
237. C₂×C₄⋊Dic₅	C₂²×C₃	semidirect
238. #4042	C₂²×C₃	semidirect
239. #4041	C₂²×C₃	semidirect
240. #4040	C₂²×C₃	semidirect
242. D₅×C₄⋊C₄	C₂²×C₃	semidirect
243. #4034	C₂²×C₃	semidirect
244. #4031	C₂²×C₃	semidirect
245. #4030	C₂²×C₃	semidirect
246. #4030	C₂²×C₃	semidirect
247. #4029	C₂²×C₃	semidirect
248. #4028	C₂²×C₃	semidirect
249. #4027	C₂²×C₃	semidirect
250. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
251. #4024	C₂²×C₃	semidirect
254. C₄×D₂₀	C₂²×C₃	semidirect
255. C₄×D₂₀	C₂²×C₃	semidirect
256. C₄×D₂₀	C₂²×C₃	semidirect
257. C₄×D₂₀	C₂²×C₃	semidirect
258. C₄×D₂₀	C₂²×C₃	semidirect
259. C₄×D₂₀	C₂²×C₃	semidirect
260. #4018	C₂²×C₃	semidirect
261. C₄²×D₅	C₂²×C₃	semidirect
262. C₄×Dic₁₀	C₂²×C₃	semidirect
263. C₄×Dic₁₀	C₂²×C₃	semidirect
284. C₂×C₃×C₄×C₅	C₂×D₄	semidirect
296. C₃×C₂²⋊D₅	C₂×D₄	semidirect
307. C₃×D₂₀	C₂×D₄	semidirect
308. C₃×D₂₀	#41	semidirect
317. C₃×C₄×D₅	C₂×D₄	semidirect
319. C₃×Dic₁₀	C₂×D₄	semidirect
326. C₂×C₃×#41	C₂×D₅	semidirect
335. C₃×C₄⋊Q₈	C₂×D₅	semidirect
337. C₃×#127	C₂×D₅	semidirect
339. C₃×#124	C₂×D₅	semidirect
354. C₃×#121	C₂×D₅	semidirect
355. C₃×#121	C₂×D₅	semidirect
376. C₃×C₄×D₄	C₂×D₅	semidirect
377. C₃×C₄×D₄	C₂×D₅	semidirect
385. C₂×C₃×C₄²	C₂×D₅	semidirect
413. #709	C₃×D₄	semidirect
475. #532	C₃×D₅	semidirect
498. C₂×C₃×D₅	C₂×#41	semidirect
505. C₃×C₄×C₅	C₂×#41	semidirect
608. C₂×C₄×C₅	C₂×C₃×D₄	semidirect
620. C₂²⋊D₅	C₂×C₃×D₄	semidirect
631. D₂₀	C₂×C₃×D₄	semidirect
632. D₂₀	C₃×#41	semidirect
641. C₄×D₅	C₂×C₃×D₄	semidirect
643. Dic₁₀	C₂×C₃×D₄	semidirect
650. C₂×#41	C₂×C₃×D₅	semidirect
659. C₄⋊Q₈	C₂×C₃×D₅	semidirect
661. #127	C₂×C₃×D₅	semidirect
663. #124	C₂×C₃×D₅	semidirect
678. #121	C₂×C₃×D₅	semidirect
679. #121	C₂×C₃×D₅	semidirect
700. C₄×D₄	C₂×C₃×D₅	semidirect
701. C₄×D₄	C₂×C₃×D₅	semidirect
709. C₂×C₄²	C₂×C₃×D₅	semidirect
765. C₂×C₃×C₄	D₄×D₅	semidirect
790. C₂×D₅	C₂×C₃×#41	semidirect
797. C₄×C₅	C₂×C₃×#41	semidirect
881. C₃×C₅	D₄×#41	semidirect
911. C₃×C₄	D₅×#41	semidirect
967. C₂×C₄	C₃×D₄×D₅	semidirect
983. C₅	C₃×D₄×#41	semidirect
1013. C₄	C₃×D₅×#41	semidirect
1014. C₃	#10618139	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×D₅×#41	2
C₃×C₅×#532	2
C₃×#66162	2
C₃×#66061	2
C₃×#66060	2
C₃×#66052	2
C₃×#66051	2
C₃×#66011	2
C₃×#66010	2
C₃×#65945	2
C₃×#65944	2
C₃×#65943	2
C₃×#65882	2
C₃×#65881	2
C₃×C₄×D₄×D₅	2
C₃×C₄×#709	2
C₂×C₃×C₄×D₂₀	2
#10618139	3
C₃×D₄×#41	5

Subgroups — C3×#10618139 #14483043

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10618139 #14483043