Subgroups — C₃×D₅×#547 #14482668

Order 1920.

3264 conjugacy classes of subgroups.

The subgroup lattice has 1020 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×#547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66158	C₂	1	2	yes	maximal, complemented
4	C₃×#66060	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×D₅×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#65989	C₂	1	4	yes	maximal, complemented
7	C₃×D₅×#123	C₂	1	4	yes	maximal, complemented
8	C₃×#65965	C₂	1	2	yes	maximal, complemented
9	C₃×D₅×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
10	C₃×#65945	C₂	1	2	yes	maximal, complemented
11	C₃×D₅×#121	C₂	1	2	yes	maximal, complemented
12	C₃×#65889	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#65885	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#65841	C₂	1	2	yes	maximal, complemented
17	C₂×C₃×D₅×C₄⋊C₄	C₂	1	2	yes	maximal, complemented
18	D₅×#547	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	—
23	C₂×C₃×#711	C₂²	1	2	yes	complemented
24	C₂×C₃×#711	C₂²	1	4	yes	complemented
25	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
26	C₂×C₃×D₄×D₅	C₂²	1	4	yes	—
27	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
28	C₂×C₃×#709	C₂²	1	2	yes	complemented
29	C₂×C₃×#709	C₂²	1	4	yes	complemented
30	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	—
31	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	—
32	C₂²×C₃×C₄×D₅	C₂²	1	4	yes	—
33	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#123	C₂²	1	4	yes	complemented
35	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₃×C₅×#121	C₂²	1	2	yes	complemented
37	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	complemented
40	C₃×#4092	C₂²	1	2	yes	complemented
41	C₃×#4090	C₂²	1	2	yes	complemented
42	C₃×#4085	C₂²	1	4	yes	complemented
43	C₃×#4084	C₂²	1	2	yes	complemented
44	C₃×#4081	C₂²	1	4	yes	complemented
45	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
46	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
47	C₃×#4076	C₂²	1	2	yes	complemented
48	C₃×#4075	C₂²	1	4	yes	complemented
49	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
50	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
51	C₂×C₃×C₄⋊Dic₅	C₂²	1	2	yes	complemented
52	C₃×#4070	C₂²	1	2	yes	complemented
53	C₂×C₃×#683	C₂²	1	4	yes	complemented
54	C₃×#4043	C₂²	1	2	yes	complemented
55	C₃×#4042	C₂²	1	4	yes	complemented
56	C₃×#4041	C₂²	1	2	yes	complemented
57	C₃×#4040	C₂²	1	4	yes	complemented
58	C₃×#4040	C₂²	1	4	yes	complemented
59	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
60	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
61	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
63	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
64	C₃×D₅×C₄⋊C₄	C₂²	1	4	yes	—
65	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
66	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
67	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
68	C₃×D₅×C₄⋊C₄	C₂²	1	4	yes	complemented
69	C₃×#4034	C₂²	1	2	yes	complemented
70	C₃×#4034	C₂²	1	2	yes	complemented
71	C₃×#4032	C₂²	1	4	yes	complemented
72	C₃×#4030	C₂²	1	4	yes	complemented
73	C₃×#4029	C₂²	1	4	yes	complemented
74	C₃×#4029	C₂²	1	4	yes	complemented
75	C₃×#4027	C₂²	1	2	yes	complemented
76	C₃×#4027	C₂²	1	2	yes	complemented
77	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
78	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
79	C₃×D₅×C₂²⋊C₄	C₂²	1	4	yes	—
80	C₃×#4024	C₂²	1	4	yes	complemented
81	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
82	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
83	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
84	C₃×#4015	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₃×#547	—	5	1	no	maximal, Hall
86	C₂×D₅×#41	C₂×C₃	1	2	yes	complemented
87	C₅×#547	C₂×C₃	1	1	yes	characteristic, complemented
88	#66158	C₂×C₃	1	2	yes	complemented
89	#66060	C₂×C₃	1	1	yes	characteristic, complemented
90	D₅×C₄⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
91	#65989	C₂×C₃	1	4	yes	complemented
92	D₅×#123	C₂×C₃	1	4	yes	complemented
93	#65965	C₂×C₃	1	2	yes	complemented
94	D₅×C₂²⋊Q₈	C₂×C₃	1	2	yes	complemented
95	#65945	C₂×C₃	1	2	yes	complemented
96	D₅×#121	C₂×C₃	1	2	yes	complemented
97	#65889	C₂×C₃	1	1	yes	characteristic, complemented
98	#65885	C₂×C₃	1	1	yes	characteristic, complemented
99	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
100	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
101	#65841	C₂×C₃	1	2	yes	complemented
102	C₂×D₅×C₄⋊C₄	C₂×C₃	1	2	yes	complemented
103	C₂³×C₃×D₅	C₂³	1	2	yes	—
104	C₂³×C₃×D₅	C₂³	1	2	yes	—
105	C₃×C₅×#41	—	2	8	no	—
106	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
107	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
108	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
109	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
110	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
111	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
112	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
113	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
114	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
115	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
116	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
117	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
118	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
119	C₂²×C₃×Dic₅	C₂³	1	4	yes	—
120	C₃×#713	—	2	8	no	—
121	C₃×Q₈×D₅	—	2	8	no	—
122	C₃×#711	—	2	8	no	—
123	C₃×#711	—	2	16	no	—
124	C₃×D₄×D₅	—	2	16	no	—
125	C₃×D₄×D₅	—	2	4	no	—
126	C₃×D₄×D₅	D₄	1	8	yes	complemented
127	C₃×#709	—	2	16	no	—
128	C₃×#709	—	2	8	no	—
129	C₂×C₃×D₂₀	C₂³	1	4	yes	—
130	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
131	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
132	C₂×C₃×C₄×D₅	—	2	16	no	—
133	C₂×C₃×C₄×D₅	—	2	8	no	—
134	C₂×C₃×C₄×D₅	—	2	8	no	—
135	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
136	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
137	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
138	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
139	C₂×C₃×C₄×D₅	C₂³	1	4	yes	—
140	C₂×C₃×C₄×D₅	C₂³	1	4	yes	—
141	C₂×C₃×C₄×D₅	C₂³	1	4	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×C₄×D₅	C₂³	1	1	yes	characteristic
147	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
148	C₂×C₃×Dic₁₀	C₂³	1	4	yes	—
149	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
150	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
151	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
152	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
153	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
154	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
155	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
156	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
157	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
158	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
159	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
160	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
161	C₃×#685	C₂³	1	4	yes	—
162	C₃×#685	C₂³	1	2	yes	—
163	C₃×#685	C₂³	1	2	yes	—
164	C₃×#685	C₂³	1	2	yes	—
165	C₃×#685	C₂³	1	4	yes	—
166	C₃×#685	C₂³	1	2	yes	—
167	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
168	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
169	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
170	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
171	C₃×C₄⋊Dic₅	C₂³	1	4	yes	—
172	C₃×#683	C₂³	1	4	yes	—
173	C₃×#683	C₂³	1	4	yes	—
174	C₃×#683	C₂³	1	4	yes	—
175	C₃×#683	C₂³	1	2	yes	—
176	C₃×#683	C₂³	1	2	yes	—
177	C₃×#683	C₂³	1	4	yes	—
178	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
179	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
180	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
181	C₂²×C₃×#41	—	5	2	no	—
182	C₃×#547	—	5	2	no	—
183	C₃×#547	—	5	1	no	—
184	C₃×#547	—	5	4	no	—
185	C₃×#547	—	5	2	no	—
186	C₃×#547	—	5	2	no	—
187	C₃×#547	—	5	1	no	—
188	C₃×#547	—	5	1	no	—
189	C₃×#547	—	5	2	no	—
190	C₃×#547	D₅	1	1	yes	characteristic, direct product factor
191	C₂×C₃×C₄⋊Q₈	—	5	1	no	—
192	C₂×C₃×#123	—	5	4	no	—
193	C₂×C₃×C₂²⋊Q₈	—	5	2	no	—
194	C₂×C₃×#121	—	5	2	no	—
195	C₂×C₃×C₄×D₄	—	5	1	no	—
196	C₂×C₃×C₄×D₄	—	5	1	no	—
197	C₂²×C₃×C₄⋊C₄	—	5	2	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	—
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	1	yes	characteristic
205	C₂×D₄×D₅	C₂²×C₃	1	4	yes	—
206	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
207	C₂×#709	C₂²×C₃	1	4	yes	complemented
208	C₂×#709	C₂²×C₃	1	2	yes	complemented
209	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	—
210	C₂²×C₄×D₅	C₂²×C₃	1	4	yes	—
211	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	—
212	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
213	C₅×#123	C₂²×C₃	1	4	yes	complemented
214	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
215	C₅×#121	C₂²×C₃	1	2	yes	complemented
216	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
217	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
218	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
219	#4092	C₂²×C₃	1	2	yes	complemented
220	#4090	C₂²×C₃	1	2	yes	complemented
221	#4085	C₂²×C₃	1	4	yes	complemented
222	#4084	C₂²×C₃	1	2	yes	complemented
223	#4081	C₂²×C₃	1	4	yes	complemented
224	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
225	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
226	#4076	C₂²×C₃	1	2	yes	complemented
227	#4075	C₂²×C₃	1	4	yes	complemented
228	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
229	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
230	C₂×C₄⋊Dic₅	C₂²×C₃	1	2	yes	complemented
231	#4070	C₂²×C₃	1	2	yes	complemented
232	C₂×#683	C₂²×C₃	1	4	yes	complemented
233	#4043	C₂²×C₃	1	2	yes	complemented
234	#4042	C₂²×C₃	1	4	yes	complemented
235	#4041	C₂²×C₃	1	2	yes	complemented
236	#4040	C₂²×C₃	1	4	yes	complemented
237	#4040	C₂²×C₃	1	4	yes	complemented
238	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
239	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
240	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
241	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
242	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
243	D₅×C₄⋊C₄	C₂²×C₃	1	4	yes	—
244	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
245	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
246	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
247	D₅×C₄⋊C₄	C₂²×C₃	1	4	yes	complemented
248	#4034	C₂²×C₃	1	2	yes	complemented
249	#4034	C₂²×C₃	1	2	yes	complemented
250	#4032	C₂²×C₃	1	4	yes	complemented
251	#4030	C₂²×C₃	1	4	yes	complemented
252	#4029	C₂²×C₃	1	4	yes	complemented
253	#4029	C₂²×C₃	1	4	yes	complemented
254	#4027	C₂²×C₃	1	2	yes	complemented
255	#4027	C₂²×C₃	1	2	yes	complemented
256	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
257	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
258	D₅×C₂²⋊C₄	C₂²×C₃	1	4	yes	—
259	#4024	C₂²×C₃	1	4	yes	complemented
260	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
261	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
262	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
263	#4015	C₂²×C₃	1	1	yes	characteristic, complemented
264	C₂×#547	—	5	1	no	Sylow
265	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
266	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
267	C₂²×C₃×D₅	—	2	4	no	—
268	C₂²×C₃×D₅	—	2	4	no	—
269	C₂²×C₃×D₅	—	2	4	no	—
270	C₂²×C₃×D₅	—	2	4	no	—
271	C₂²×C₃×D₅	—	2	4	no	—
272	C₂²×C₃×D₅	C₂×D₄	1	8	yes	—
273	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
274	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
275	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
276	C₃×C₅×Q₈	—	2	4	no	—
277	C₃×C₅×D₄	—	2	8	no	—
278	C₃×C₅×D₄	—	2	2	no	—
279	C₃×C₅×D₄	C₂×D₄	1	4	yes	complemented
280	C₂×C₃×C₄×C₅	—	2	8	no	—
281	C₂×C₃×C₄×C₅	—	2	4	no	—
282	C₂×C₃×C₄×C₅	—	2	4	no	—
283	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
284	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
285	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
286	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
287	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
288	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
289	C₃×C₂²⋊D₅	—	2	8	no	—
290	C₃×C₂²⋊D₅	—	2	8	no	—
291	C₃×C₂²⋊D₅	—	2	4	no	—
292	C₃×C₂²⋊D₅	C₂×D₄	1	8	yes	complemented
293	C₂×C₃×Dic₅	—	2	8	no	—
294	C₂×C₃×Dic₅	—	2	4	no	—
295	C₂×C₃×Dic₅	—	2	4	no	—
296	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
297	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
298	C₂×C₃×Dic₅	C₂⁴	1	4	yes	—
299	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
300	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
301	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
302	C₃×D₂₀	—	2	8	no	—
303	C₃×D₂₀	—	2	2	no	—
304	C₃×D₂₀	C₂×D₄	1	4	yes	complemented
305	C₃×C₄×D₅	—	2	4	no	—
306	C₃×C₄×D₅	—	2	8	no	—
307	C₃×C₄×D₅	—	2	8	no	—
308	C₃×C₄×D₅	—	2	8	no	—
309	C₃×C₄×D₅	—	2	4	no	—
310	C₃×C₄×D₅	—	2	2	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	C₂×D₄	1	4	yes	—
316	C₃×C₄×D₅	#41	1	4	yes	complemented
317	C₃×Dic₁₀	—	2	4	no	—
318	C₃×Dic₁₀	—	2	8	no	—
319	C₂×C₃×#41	—	5	2	no	—
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	4	no	—
324	C₂×C₃×#41	—	10	16	no	—
325	C₂×C₃×#41	C₂×D₅	1	2	yes	complemented
326	C₂²×C₃×Q₈	—	5	2	no	—
327	C₂²×C₃×D₄	—	5	1	no	—
328	C₂²×C₃×D₄	—	5	4	no	—
329	C₂²×C₃×D₄	—	5	1	no	—
330	C₂³×C₃×C₄	—	5	4	no	—
331	C₂³×C₃×C₄	—	5	2	no	—
332	C₂³×C₃×C₄	—	5	2	no	—
333	C₃×C₄⋊Q₈	—	5	2	no	—
334	C₃×C₄⋊Q₈	—	5	2	no	—
335	C₃×C₄⋊Q₈	—	5	2	no	—
336	C₃×C₄⋊Q₈	—	5	1	no	—
337	C₃×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
338	C₃×#123	—	5	4	no	—
339	C₃×#123	—	5	4	no	—
340	C₃×#123	—	5	4	no	—
341	C₃×#123	—	5	4	no	—
342	C₃×#123	—	5	4	no	—
343	C₃×#123	—	5	4	no	—
344	C₃×#123	—	5	4	no	—
345	C₃×#123	C₂×D₅	1	4	yes	complemented
346	C₃×C₂²⋊Q₈	—	5	2	no	—
347	C₃×C₂²⋊Q₈	—	5	2	no	—
348	C₃×C₂²⋊Q₈	—	5	4	no	—
349	C₃×C₂²⋊Q₈	—	5	2	no	—
350	C₃×C₂²⋊Q₈	—	5	4	no	—
351	C₃×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
352	C₃×#121	—	5	2	no	—
353	C₃×#121	—	5	4	no	—
354	C₃×#121	—	5	2	no	—
355	C₃×#121	—	5	2	no	—
356	C₃×#121	—	5	4	no	—
357	C₃×#121	C₂×D₅	1	2	yes	complemented
358	C₃×C₄×D₄	—	5	1	no	—
359	C₃×C₄×D₄	—	5	1	no	—
360	C₃×C₄×D₄	—	5	2	no	—
361	C₃×C₄×D₄	—	5	2	no	—
362	C₃×C₄×D₄	—	5	1	no	—
363	C₃×C₄×D₄	—	5	1	no	—
364	C₃×C₄×D₄	—	5	2	no	—
365	C₃×C₄×D₄	—	5	2	no	—
366	C₃×C₄×D₄	—	5	1	no	—
367	C₃×C₄×D₄	—	5	1	no	—
368	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
369	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
370	C₂×C₃×C₄⋊C₄	—	5	4	no	—
371	C₂×C₃×C₄⋊C₄	—	5	2	no	—
372	C₂×C₃×C₄⋊C₄	—	5	1	no	—
373	C₂×C₃×C₄⋊C₄	—	5	2	no	—
374	C₂×C₃×C₄⋊C₄	—	5	4	no	—
375	C₂×C₃×C₄⋊C₄	—	5	4	no	—
376	C₂×C₃×C₄⋊C₄	—	5	2	no	—
377	C₂×C₃×C₄⋊C₄	—	5	2	no	—
378	C₂×C₃×C₄⋊C₄	—	5	1	no	—
379	C₂×C₃×C₄⋊C₄	—	5	2	no	—
380	C₂×C₃×C₄⋊C₄	C₂×D₅	1	2	yes	complemented
381	C₂×C₃×C₂²⋊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	1	no	—
385	C₂³×D₅	C₂³×C₃	1	2	yes	—
386	C₂³×D₅	C₂³×C₃	1	2	yes	—
387	C₅×#41	—	2	8	no	—
388	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
389	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
390	C₂×C₅×D₄	C₂³×C₃	1	4	yes	—
391	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
393	C₂²×C₄×C₅	C₂³×C₃	1	4	yes	—
394	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
395	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
396	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
397	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
398	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
399	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
400	C₂²×Dic₅	C₂³×C₃	1	4	yes	—
401	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
402	#713	—	2	8	no	—
403	Q₈×D₅	—	2	8	no	—
404	#711	—	2	8	no	—
405	#711	—	2	16	no	—
406	D₄×D₅	—	2	16	no	—
407	D₄×D₅	—	2	4	no	—
408	D₄×D₅	C₃×D₄	1	8	yes	complemented
409	#709	—	2	16	no	—
410	#709	—	2	8	no	—
411	C₂×D₂₀	C₂³×C₃	1	4	yes	—
412	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
413	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
414	C₂×C₄×D₅	—	2	16	no	—
415	C₂×C₄×D₅	—	2	8	no	—
416	C₂×C₄×D₅	—	2	8	no	—
417	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
418	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
419	C₂×C₄×D₅	C₂³×C₃	1	4	yes	—
420	C₂×C₄×D₅	C₂³×C₃	1	4	yes	—
421	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
422	C₂×C₄×D₅	C₂³×C₃	1	4	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	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	C₂³×C₃	1	2	yes	—
430	C₂×Dic₁₀	C₂³×C₃	1	4	yes	—
431	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
432	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
433	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
434	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
435	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
436	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
437	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
438	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
439	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
440	C₂²⋊Dic₅	C₂³×C₃	1	4	yes	—
441	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
442	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
443	#685	C₂³×C₃	1	2	yes	—
444	#685	C₂³×C₃	1	2	yes	—
445	#685	C₂³×C₃	1	2	yes	—
446	#685	C₂³×C₃	1	4	yes	—
447	#685	C₂³×C₃	1	2	yes	—
448	#685	C₂³×C₃	1	4	yes	—
449	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
450	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
451	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
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	4	yes	—
456	#683	C₂³×C₃	1	2	yes	—
457	#683	C₂³×C₃	1	4	yes	—
458	#683	C₂³×C₃	1	4	yes	—
459	#683	C₂³×C₃	1	4	yes	—
460	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
461	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
462	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
463	C₂²×#41	—	5	2	no	—
464	#547	—	5	2	no	—
465	#547	—	5	1	no	—
466	#547	—	5	4	no	—
467	#547	—	5	2	no	—
468	#547	—	5	2	no	—
469	#547	—	5	1	no	—
470	#547	—	5	1	no	—
471	#547	—	5	2	no	—
472	#547	C₃×D₅	1	1	yes	characteristic, direct product factor
473	C₂×C₄⋊Q₈	—	5	1	no	—
474	C₂×#123	—	5	4	no	—
475	C₂×C₂²⋊Q₈	—	5	2	no	—
476	C₂×#121	—	5	2	no	—
477	C₂×C₄×D₄	—	5	1	no	—
478	C₂×C₄×D₄	—	5	1	no	—
479	C₂²×C₄⋊C₄	—	5	2	no	—
480	C₂²×C₃×C₅	—	2	2	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	C₂²×D₄	1	4	yes	—
486	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
487	C₂×C₃×D₅	—	2	2	no	—
488	C₂×C₃×D₅	—	2	2	no	—
489	C₂×C₃×D₅	—	2	16	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	—	4	8	no	—
494	C₂×C₃×D₅	C₂²×D₄	1	4	yes	—
495	C₂×C₃×D₅	C₂²×D₄	1	2	yes	—
496	C₂×C₃×D₅	C₂×#41	1	2	yes	—
497	C₂×C₃×D₅	2₋¹⁺⁴	1	2	yes	—
498	C₃×C₄×C₅	—	2	4	no	—
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	2	no	—
507	C₃×Dic₅	—	2	1	no	—
508	C₃×Dic₅	C₂²×D₄	1	2	yes	—
509	C₃×Dic₅	C₂×#41	1	2	yes	complemented
510	C₂⁴×C₃	—	5	2	no	—
511	C₂⁴×C₃	—	5	2	no	—
512	C₃×#41	—	2	8	no	—
513	C₃×#41	—	10	16	no	—
514	C₃×#41	—	10	8	no	—
515	C₃×#41	—	10	16	no	—
516	C₃×#41	—	10	8	no	—
517	C₃×#41	—	10	8	no	—
518	C₂×C₃×Q₈	—	5	4	no	—
519	C₂×C₃×Q₈	—	5	2	no	—
520	C₂×C₃×Q₈	—	10	8	no	—
521	C₂×C₃×Q₈	C₂²×D₅	1	2	yes	—
522	C₂×C₃×D₄	—	5	2	no	—
523	C₂×C₃×D₄	—	5	8	no	—
524	C₂×C₃×D₄	—	5	2	no	—
525	C₂×C₃×D₄	—	5	4	no	—
526	C₂×C₃×D₄	—	5	4	no	—
527	C₂×C₃×D₄	—	5	1	no	—
528	C₂×C₃×D₄	—	5	1	no	—
529	C₂×C₃×D₄	—	5	4	no	—
530	C₂×C₃×D₄	—	10	4	no	—
531	C₂×C₃×D₄	—	10	16	no	—
532	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
533	C₂×C₃×D₄	C₂²×D₅	1	4	yes	—
534	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
535	C₂²×C₃×C₄	—	5	1	no	—
536	C₂²×C₃×C₄	—	5	1	no	—
537	C₂²×C₃×C₄	—	5	2	no	—
538	C₂²×C₃×C₄	—	5	4	no	—
539	C₂²×C₃×C₄	—	5	2	no	—
540	C₂²×C₃×C₄	—	5	1	no	—
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	2	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	2	no	—
550	C₂²×C₃×C₄	—	10	8	no	—
551	C₂²×C₃×C₄	—	10	8	no	—
552	C₂²×C₃×C₄	—	10	16	no	—
553	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
554	C₂²×C₃×C₄	C₂²×D₅	1	4	yes	—
555	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
556	C₃×C₄⋊C₄	—	5	2	no	—
557	C₃×C₄⋊C₄	—	5	4	no	—
558	C₃×C₄⋊C₄	—	5	4	no	—
559	C₃×C₄⋊C₄	—	5	4	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	2	yes	—
569	C₃×C₄⋊C₄	C₂²×D₅	1	4	yes	—
570	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
571	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
572	C₃×C₂²⋊C₄	—	5	2	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	2	no	—
579	C₃×C₂²⋊C₄	—	5	4	no	—
580	C₃×C₂²⋊C₄	—	5	4	no	—
581	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
582	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
583	C₃×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
584	C₃×C₄²	—	5	1	no	—
585	C₃×C₄²	—	5	1	no	—
586	C₃×C₄²	—	5	1	no	—
587	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
588	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
589	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
590	C₂²×D₅	—	2	4	no	—
591	C₂²×D₅	—	2	4	no	—
592	C₂²×D₅	—	2	4	no	—
593	C₂²×D₅	—	2	4	no	—
594	C₂²×D₅	—	2	4	no	—
595	C₂²×D₅	C₂×C₃×D₄	1	8	yes	—
596	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
597	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
598	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
599	C₅×Q₈	—	2	4	no	—
600	C₅×D₄	—	2	8	no	—
601	C₅×D₄	—	2	2	no	—
602	C₅×D₄	C₂×C₃×D₄	1	4	yes	complemented
603	C₂×C₄×C₅	—	2	8	no	—
604	C₂×C₄×C₅	—	2	4	no	—
605	C₂×C₄×C₅	—	2	4	no	—
606	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
607	C₂×C₄×C₅	C₂⁴×C₃	1	4	yes	—
608	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
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	1	yes	characteristic
612	C₂²⋊D₅	—	2	8	no	—
613	C₂²⋊D₅	—	2	8	no	—
614	C₂²⋊D₅	—	2	4	no	—
615	C₂²⋊D₅	C₂×C₃×D₄	1	8	yes	complemented
616	C₂×Dic₅	—	2	8	no	—
617	C₂×Dic₅	—	2	4	no	—
618	C₂×Dic₅	—	2	4	no	—
619	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
620	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
621	C₂×Dic₅	C₂⁴×C₃	1	4	yes	—
622	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
623	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
624	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
625	D₂₀	—	2	8	no	—
626	D₂₀	—	2	2	no	—
627	D₂₀	C₂×C₃×D₄	1	4	yes	complemented
628	C₄×D₅	—	2	4	no	—
629	C₄×D₅	—	2	8	no	—
630	C₄×D₅	—	2	8	no	—
631	C₄×D₅	—	2	8	no	—
632	C₄×D₅	—	2	4	no	—
633	C₄×D₅	—	2	2	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	C₂×C₃×D₄	1	4	yes	—
639	C₄×D₅	C₃×#41	1	4	yes	complemented
640	Dic₁₀	—	2	4	no	—
641	Dic₁₀	—	2	8	no	—
642	C₂×#41	—	5	2	no	—
643	C₂×#41	—	5	2	no	—
644	C₂×#41	—	5	4	no	—
645	C₂×#41	—	5	2	no	—
646	C₂×#41	—	5	4	no	—
647	C₂×#41	—	10	16	no	—
648	C₂×#41	C₂×C₃×D₅	1	2	yes	complemented
649	C₂²×Q₈	—	5	2	no	—
650	C₂²×D₄	—	5	1	no	—
651	C₂²×D₄	—	5	1	no	—
652	C₂²×D₄	—	5	4	no	—
653	C₂³×C₄	—	5	2	no	—
654	C₂³×C₄	—	5	4	no	—
655	C₂³×C₄	—	5	2	no	—
656	C₄⋊Q₈	—	5	2	no	—
657	C₄⋊Q₈	—	5	2	no	—
658	C₄⋊Q₈	—	5	2	no	—
659	C₄⋊Q₈	—	5	1	no	—
660	C₄⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
661	#123	—	5	4	no	—
662	#123	—	5	4	no	—
663	#123	—	5	4	no	—
664	#123	—	5	4	no	—
665	#123	—	5	4	no	—
666	#123	—	5	4	no	—
667	#123	—	5	4	no	—
668	#123	C₂×C₃×D₅	1	4	yes	complemented
669	C₂²⋊Q₈	—	5	2	no	—
670	C₂²⋊Q₈	—	5	2	no	—
671	C₂²⋊Q₈	—	5	4	no	—
672	C₂²⋊Q₈	—	5	2	no	—
673	C₂²⋊Q₈	—	5	4	no	—
674	C₂²⋊Q₈	C₂×C₃×D₅	1	2	yes	complemented
675	#121	—	5	2	no	—
676	#121	—	5	4	no	—
677	#121	—	5	2	no	—
678	#121	—	5	2	no	—
679	#121	—	5	4	no	—
680	#121	C₂×C₃×D₅	1	2	yes	complemented
681	C₄×D₄	—	5	1	no	—
682	C₄×D₄	—	5	1	no	—
683	C₄×D₄	—	5	2	no	—
684	C₄×D₄	—	5	2	no	—
685	C₄×D₄	—	5	1	no	—
686	C₄×D₄	—	5	1	no	—
687	C₄×D₄	—	5	2	no	—
688	C₄×D₄	—	5	2	no	—
689	C₄×D₄	—	5	1	no	—
690	C₄×D₄	—	5	1	no	—
691	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
692	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
693	C₂×C₄⋊C₄	—	5	4	no	—
694	C₂×C₄⋊C₄	—	5	2	no	—
695	C₂×C₄⋊C₄	—	5	1	no	—
696	C₂×C₄⋊C₄	—	5	2	no	—
697	C₂×C₄⋊C₄	—	5	4	no	—
698	C₂×C₄⋊C₄	—	5	4	no	—
699	C₂×C₄⋊C₄	—	5	2	no	—
700	C₂×C₄⋊C₄	—	5	2	no	—
701	C₂×C₄⋊C₄	—	5	1	no	—
702	C₂×C₄⋊C₄	—	5	2	no	—
703	C₂×C₄⋊C₄	C₂×C₃×D₅	1	2	yes	complemented
704	C₂×C₂²⋊C₄	—	5	2	no	—
705	C₂×C₂²⋊C₄	—	5	2	no	—
706	C₂×C₂²⋊C₄	—	5	4	no	—
707	C₂×C₄²	—	5	1	no	—
708	C₂×C₃×C₅	—	2	4	no	—
709	C₂×C₃×C₅	—	4	2	no	—
710	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
711	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
712	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
713	C₃×D₅	—	2	4	no	—
714	C₃×D₅	—	4	2	no	—
715	C₃×D₅	#547	1	4	yes	direct product factor
716	C₂³×C₃	—	5	1	no	—
717	C₂³×C₃	—	5	8	no	—
718	C₂³×C₃	—	5	2	no	—
719	C₂³×C₃	—	5	2	no	—
720	C₂³×C₃	—	10	4	no	—
721	C₂³×C₃	—	10	4	no	—
722	C₂³×C₃	—	10	4	no	—
723	C₂³×C₃	—	10	4	no	—
724	C₂³×C₃	—	10	4	no	—
725	C₂³×C₃	C₂³×D₅	1	2	yes	—
726	C₂³×C₃	C₂³×D₅	1	2	yes	—
727	C₃×Q₈	—	2	4	no	—
728	C₃×Q₈	—	10	8	no	—
729	C₃×Q₈	—	10	4	no	—
730	C₃×D₄	—	2	8	no	—
731	C₃×D₄	—	2	2	no	—
732	C₃×D₄	—	5	8	no	—
733	C₃×D₄	—	5	4	no	—
734	C₃×D₄	—	10	8	no	—
735	C₃×D₄	—	10	4	no	—
736	C₃×D₄	—	10	8	no	—
737	C₃×D₄	—	10	8	no	—
738	C₃×D₄	—	10	2	no	—
739	C₃×D₄	D₄×D₅	1	4	yes	complemented
740	C₂×C₃×C₄	—	2	8	no	—
741	C₂×C₃×C₄	—	2	4	no	—
742	C₂×C₃×C₄	—	2	4	no	—
743	C₂×C₃×C₄	—	5	1	no	—
744	C₂×C₃×C₄	—	5	1	no	—
745	C₂×C₃×C₄	—	5	4	no	—
746	C₂×C₃×C₄	—	5	4	no	—
747	C₂×C₃×C₄	—	5	1	no	—
748	C₂×C₃×C₄	—	5	2	no	—
749	C₂×C₃×C₄	—	5	2	no	—
750	C₂×C₃×C₄	—	5	4	no	—
751	C₂×C₃×C₄	—	10	4	no	—
752	C₂×C₃×C₄	—	10	4	no	—
753	C₂×C₃×C₄	—	10	2	no	—
754	C₂×C₃×C₄	—	10	4	no	—
755	C₂×C₃×C₄	—	10	4	no	—
756	C₂×C₃×C₄	—	10	8	no	—
757	C₂×C₃×C₄	—	10	8	no	—
758	C₂×C₃×C₄	—	10	8	no	—
759	C₂×C₃×C₄	—	10	4	no	—
760	C₂×C₃×C₄	—	10	4	no	—
761	C₂×C₃×C₄	—	10	8	no	—
762	C₂×C₃×C₄	—	10	4	no	—
763	C₂×C₃×C₄	—	10	4	no	—
764	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
765	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
766	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
767	C₂×C₃×C₄	C₂³×D₅	1	4	yes	—
768	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
769	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
770	C₂²×C₅	—	2	2	no	—
771	C₂²×C₅	—	2	2	no	—
772	C₂²×C₅	—	2	2	no	—
773	C₂²×C₅	—	2	2	no	—
774	C₂²×C₅	—	2	2	no	—
775	C₂²×C₅	C₂²×C₃×D₄	1	4	yes	—
776	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
777	C₂×D₅	—	2	2	no	—
778	C₂×D₅	—	2	2	no	—
779	C₂×D₅	—	2	16	no	—
780	C₂×D₅	—	2	2	no	—
781	C₂×D₅	—	2	2	no	—
782	C₂×D₅	—	2	2	no	—
783	C₂×D₅	—	4	8	no	—
784	C₂×D₅	C₂²×C₃×D₄	1	4	yes	—
785	C₂×D₅	C₂²×C₃×D₄	1	2	yes	—
786	C₂×D₅	C₂×C₃×#41	1	2	yes	—
787	C₂×D₅	C₃×2₋¹⁺⁴	1	2	yes	—
788	C₄×C₅	—	2	4	no	—
789	C₄×C₅	—	2	2	no	—
790	C₄×C₅	—	2	2	no	—
791	C₄×C₅	—	2	1	no	—
792	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
793	C₄×C₅	C₂×C₃×#41	1	2	yes	complemented
794	Dic₅	—	2	4	no	—
795	Dic₅	—	2	2	no	—
796	Dic₅	—	2	2	no	—
797	Dic₅	—	2	1	no	—
798	Dic₅	C₂²×C₃×D₄	1	2	yes	—
799	Dic₅	C₂×C₃×#41	1	2	yes	complemented
800	C₂⁴	—	5	2	no	—
801	C₂⁴	—	5	2	no	—
802	#41	—	2	8	no	—
803	#41	—	10	16	no	—
804	#41	—	10	8	no	—
805	#41	—	10	16	no	—
806	#41	—	10	8	no	—
807	#41	—	10	8	no	—
808	C₂×Q₈	—	5	4	no	—
809	C₂×Q₈	—	5	2	no	—
810	C₂×Q₈	—	10	8	no	—
811	C₂×Q₈	C₂²×C₃×D₅	1	2	yes	—
812	C₂×D₄	—	5	2	no	—
813	C₂×D₄	—	5	8	no	—
814	C₂×D₄	—	5	2	no	—
815	C₂×D₄	—	5	4	no	—
816	C₂×D₄	—	5	4	no	—
817	C₂×D₄	—	5	1	no	—
818	C₂×D₄	—	5	1	no	—
819	C₂×D₄	—	5	4	no	—
820	C₂×D₄	—	10	4	no	—
821	C₂×D₄	—	10	16	no	—
822	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
823	C₂×D₄	C₂²×C₃×D₅	1	4	yes	—
824	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
825	C₂²×C₄	—	5	1	no	—
826	C₂²×C₄	—	5	1	no	—
827	C₂²×C₄	—	5	2	no	—
828	C₂²×C₄	—	5	4	no	—
829	C₂²×C₄	—	5	2	no	—
830	C₂²×C₄	—	5	1	no	—
831	C₂²×C₄	—	5	2	no	—
832	C₂²×C₄	—	5	2	no	—
833	C₂²×C₄	—	5	4	no	—
834	C₂²×C₄	—	5	2	no	—
835	C₂²×C₄	—	5	2	no	—
836	C₂²×C₄	—	5	4	no	—
837	C₂²×C₄	—	5	4	no	—
838	C₂²×C₄	—	5	2	no	—
839	C₂²×C₄	—	5	2	no	—
840	C₂²×C₄	—	10	8	no	—
841	C₂²×C₄	—	10	8	no	—
842	C₂²×C₄	—	10	16	no	—
843	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
844	C₂²×C₄	C₂²×C₃×D₅	1	4	yes	—
845	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
846	C₄⋊C₄	—	5	2	no	—
847	C₄⋊C₄	—	5	1	no	—
848	C₄⋊C₄	—	5	4	no	—
849	C₄⋊C₄	—	5	2	no	—
850	C₄⋊C₄	—	5	4	no	—
851	C₄⋊C₄	—	5	4	no	—
852	C₄⋊C₄	—	5	4	no	—
853	C₄⋊C₄	—	5	2	no	—
854	C₄⋊C₄	—	5	1	no	—
855	C₄⋊C₄	—	5	4	no	—
856	C₄⋊C₄	—	5	2	no	—
857	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
858	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
859	C₄⋊C₄	C₂²×C₃×D₅	1	4	yes	—
860	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
861	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
862	C₂²⋊C₄	—	5	2	no	—
863	C₂²⋊C₄	—	5	2	no	—
864	C₂²⋊C₄	—	5	4	no	—
865	C₂²⋊C₄	—	5	2	no	—
866	C₂²⋊C₄	—	5	2	no	—
867	C₂²⋊C₄	—	5	2	no	—
868	C₂²⋊C₄	—	5	2	no	—
869	C₂²⋊C₄	—	5	4	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	1	no	—
876	C₄²	—	5	1	no	—
877	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
878	C₃×C₅	C₂×#547	1	1	yes	characteristic, complemented, Hall
879	C₂²×C₃	—	2	2	no	—
880	C₂²×C₃	—	2	2	no	—
881	C₂²×C₃	—	2	2	no	—
882	C₂²×C₃	—	2	2	no	—
883	C₂²×C₃	—	2	2	no	—
884	C₂²×C₃	—	5	2	no	—
885	C₂²×C₃	—	5	2	no	—
886	C₂²×C₃	—	5	2	no	—
887	C₂²×C₃	—	5	4	no	—
888	C₂²×C₃	—	10	16	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	—	20	8	no	—
895	C₂²×C₃	C₂×D₄×D₅	1	4	yes	—
896	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
897	C₃×C₄	—	2	2	no	—
898	C₃×C₄	—	2	4	no	—
899	C₃×C₄	—	2	2	no	—
900	C₃×C₄	—	2	1	no	—
901	C₃×C₄	—	5	2	no	—
902	C₃×C₄	—	5	2	no	—
903	C₃×C₄	—	10	2	no	—
904	C₃×C₄	—	10	4	no	—
905	C₃×C₄	—	10	2	no	—
906	C₃×C₄	—	10	1	no	—
907	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
908	C₃×C₄	D₅×#41	1	2	yes	complemented
909	C₂×C₅	—	2	4	no	—
910	C₂×C₅	—	4	2	no	—
911	C₂×C₅	C₂³×C₃×D₄	1	1	yes	characteristic
912	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
913	C₂×C₅	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
914	D₅	—	2	4	no	—
915	D₅	—	4	2	no	—
916	D₅	C₃×#547	1	4	yes	direct product factor
917	C₂³	—	5	1	no	—
918	C₂³	—	5	8	no	—
919	C₂³	—	5	2	no	—
920	C₂³	—	5	2	no	—
921	C₂³	—	10	4	no	—
922	C₂³	—	10	4	no	—
923	C₂³	—	10	4	no	—
924	C₂³	—	10	4	no	—
925	C₂³	—	10	4	no	—
926	C₂³	C₂³×C₃×D₅	1	2	yes	—
927	C₂³	C₂³×C₃×D₅	1	2	yes	—
928	Q₈	—	2	4	no	—
929	Q₈	—	10	8	no	—
930	Q₈	—	10	4	no	—
931	D₄	—	2	8	no	—
932	D₄	—	2	2	no	—
933	D₄	—	5	8	no	—
934	D₄	—	5	4	no	—
935	D₄	—	10	8	no	—
936	D₄	—	10	4	no	—
937	D₄	—	10	8	no	—
938	D₄	—	10	8	no	—
939	D₄	—	10	2	no	—
940	D₄	C₃×D₄×D₅	1	4	yes	complemented
941	C₂×C₄	—	2	8	no	—
942	C₂×C₄	—	2	4	no	—
943	C₂×C₄	—	2	4	no	—
944	C₂×C₄	—	5	1	no	—
945	C₂×C₄	—	5	1	no	—
946	C₂×C₄	—	5	4	no	—
947	C₂×C₄	—	5	4	no	—
948	C₂×C₄	—	5	1	no	—
949	C₂×C₄	—	5	2	no	—
950	C₂×C₄	—	5	2	no	—
951	C₂×C₄	—	5	4	no	—
952	C₂×C₄	—	10	4	no	—
953	C₂×C₄	—	10	4	no	—
954	C₂×C₄	—	10	4	no	—
955	C₂×C₄	—	10	8	no	—
956	C₂×C₄	—	10	8	no	—
957	C₂×C₄	—	10	8	no	—
958	C₂×C₄	—	10	4	no	—
959	C₂×C₄	—	10	2	no	—
960	C₂×C₄	—	10	4	no	—
961	C₂×C₄	—	10	4	no	—
962	C₂×C₄	—	10	8	no	—
963	C₂×C₄	—	10	4	no	—
964	C₂×C₄	—	10	4	no	—
965	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
966	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
967	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
968	C₂×C₄	C₂³×C₃×D₅	1	4	yes	—
969	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
970	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
971	C₂×C₃	—	2	4	no	—
972	C₂×C₃	—	4	2	no	—
973	C₂×C₃	—	5	4	no	—
974	C₂×C₃	—	10	4	no	—
975	C₂×C₃	—	20	2	no	—
976	C₂×C₃	C₂²×D₄×D₅	1	1	yes	characteristic
977	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
978	C₂×C₃	D₅×2₋¹⁺⁴	1	1	yes	characteristic
979	C₅	C₂×C₃×#547	1	1	yes	characteristic, complemented, Sylow
980	C₂²	—	2	2	no	—
981	C₂²	—	2	2	no	—
982	C₂²	—	2	2	no	—
983	C₂²	—	2	2	no	—
984	C₂²	—	2	2	no	—
985	C₂²	—	5	2	no	—
986	C₂²	—	5	2	no	—
987	C₂²	—	5	2	no	—
988	C₂²	—	5	4	no	—
989	C₂²	—	10	16	no	—
990	C₂²	—	10	2	no	—
991	C₂²	—	10	2	no	—
992	C₂²	—	10	2	no	—
993	C₂²	—	10	2	no	—
994	C₂²	—	10	2	no	—
995	C₂²	—	20	8	no	—
996	C₂²	C₂×C₃×D₄×D₅	1	4	yes	—
997	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
998	C₄	—	2	2	no	—
999	C₄	—	2	4	no	—
1000	C₄	—	2	2	no	—
1001	C₄	—	2	1	no	—
1002	C₄	—	5	2	no	—
1003	C₄	—	5	2	no	—
1004	C₄	—	10	2	no	—
1005	C₄	—	10	4	no	—
1006	C₄	—	10	2	no	—
1007	C₄	—	10	1	no	—
1008	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1009	C₄	C₃×D₅×#41	1	2	yes	complemented
1010	C₃	D₅×#547	1	1	yes	characteristic, direct product factor, Sylow
1011	C₂	—	2	4	no	—
1012	C₂	—	4	2	no	—
1013	C₂	—	5	4	no	—
1014	C₂	—	10	4	no	—
1015	C₂	—	20	2	no	—
1016	C₂	C₂²×C₃×D₄×D₅	1	1	yes	characteristic
1017	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1018	C₂	C₃×D₅×2₋¹⁺⁴	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×#547	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#547	D₅
hypocenter	C₅	C₂×C₃×#547
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#547

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×#547	C₂	semidirect
3. C₃×#66158	C₂	semidirect
4. C₃×#66060	C₂	semidirect
5. C₃×D₅×C₄⋊Q₈	C₂	semidirect
6. C₃×#65989	C₂	semidirect
7. C₃×D₅×#123	C₂	semidirect
8. C₃×#65965	C₂	semidirect
9. C₃×D₅×C₂²⋊Q₈	C₂	semidirect
10. C₃×#65945	C₂	semidirect
11. C₃×D₅×#121	C₂	semidirect
12. C₃×#65889	C₂	semidirect
13. C₃×#65885	C₂	semidirect
14. C₃×C₄×D₄×D₅	C₂	semidirect
15. C₃×C₄×D₄×D₅	C₂	semidirect
16. C₃×#65841	C₂	semidirect
17. C₂×C₃×D₅×C₄⋊C₄	C₂	semidirect
18. D₅×#547	C₃	direct (N × H)
19. C₂×C₃×C₅×#41	C₂²	semidirect
21. C₂×C₃×#713	C₂²	semidirect
23. C₂×C₃×#711	C₂²	semidirect
24. C₂×C₃×#711	C₂²	semidirect
28. C₂×C₃×#709	C₂²	semidirect
29. C₂×C₃×#709	C₂²	semidirect
33. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
34. C₃×C₅×#123	C₂²	semidirect
35. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
36. C₃×C₅×#121	C₂²	semidirect
37. C₃×C₄×C₅×D₄	C₂²	semidirect
38. C₃×C₄×C₅×D₄	C₂²	semidirect
39. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
40. C₃×#4092	C₂²	semidirect
41. C₃×#4090	C₂²	semidirect
42. C₃×#4085	C₂²	semidirect
43. C₃×#4084	C₂²	semidirect
44. C₃×#4081	C₂²	semidirect
45. C₃×D₄×Dic₅	C₂²	semidirect
46. C₃×D₄×Dic₅	C₂²	semidirect
47. C₃×#4076	C₂²	semidirect
48. C₃×#4075	C₂²	semidirect
49. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
50. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
51. C₂×C₃×C₄⋊Dic₅	C₂²	semidirect
52. C₃×#4070	C₂²	semidirect
53. C₂×C₃×#683	C₂²	semidirect
54. C₃×#4043	C₂²	semidirect
55. C₃×#4042	C₂²	semidirect
56. C₃×#4041	C₂²	semidirect
57. C₃×#4040	C₂²	semidirect
58. C₃×#4040	C₂²	semidirect
59. C₃×#4039	C₂²	semidirect
60. C₃×#4039	C₂²	semidirect
66. C₃×D₅×C₄⋊C₄	C₂²	semidirect
67. C₃×D₅×C₄⋊C₄	C₂²	semidirect
68. C₃×D₅×C₄⋊C₄	C₂²	semidirect
69. C₃×#4034	C₂²	semidirect
70. C₃×#4034	C₂²	semidirect
71. C₃×#4032	C₂²	semidirect
72. C₃×#4030	C₂²	semidirect
73. C₃×#4029	C₂²	semidirect
74. C₃×#4029	C₂²	semidirect
75. C₃×#4027	C₂²	semidirect
76. C₃×#4027	C₂²	semidirect
80. C₃×#4024	C₂²	semidirect
81. C₃×C₄×D₂₀	C₂²	semidirect
82. C₃×C₄×D₂₀	C₂²	semidirect
84. C₃×#4015	C₂²	semidirect
86. C₂×D₅×#41	C₂×C₃	semidirect
87. C₅×#547	C₂×C₃	semidirect
88. #66158	C₂×C₃	semidirect
89. #66060	C₂×C₃	semidirect
90. D₅×C₄⋊Q₈	C₂×C₃	semidirect
91. #65989	C₂×C₃	semidirect
92. D₅×#123	C₂×C₃	semidirect
93. #65965	C₂×C₃	semidirect
94. D₅×C₂²⋊Q₈	C₂×C₃	semidirect
95. #65945	C₂×C₃	semidirect
96. D₅×#121	C₂×C₃	semidirect
97. #65889	C₂×C₃	semidirect
98. #65885	C₂×C₃	semidirect
99. C₄×D₄×D₅	C₂×C₃	semidirect
100. C₄×D₄×D₅	C₂×C₃	semidirect
101. #65841	C₂×C₃	semidirect
102. C₂×D₅×C₄⋊C₄	C₂×C₃	semidirect
126. C₃×D₄×D₅	D₄	semidirect
190. C₃×#547	D₅	direct (N × H)
198. C₂×C₅×#41	C₂²×C₃	semidirect
200. C₂×#713	C₂²×C₃	semidirect
202. C₂×#711	C₂²×C₃	semidirect
203. C₂×#711	C₂²×C₃	semidirect
207. C₂×#709	C₂²×C₃	semidirect
208. C₂×#709	C₂²×C₃	semidirect
212. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
213. C₅×#123	C₂²×C₃	semidirect
214. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
215. C₅×#121	C₂²×C₃	semidirect
216. C₄×C₅×D₄	C₂²×C₃	semidirect
217. C₄×C₅×D₄	C₂²×C₃	semidirect
218. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
219. #4092	C₂²×C₃	semidirect
220. #4090	C₂²×C₃	semidirect
221. #4085	C₂²×C₃	semidirect
222. #4084	C₂²×C₃	semidirect
223. #4081	C₂²×C₃	semidirect
224. D₄×Dic₅	C₂²×C₃	semidirect
225. D₄×Dic₅	C₂²×C₃	semidirect
226. #4076	C₂²×C₃	semidirect
227. #4075	C₂²×C₃	semidirect
228. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
229. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
230. C₂×C₄⋊Dic₅	C₂²×C₃	semidirect
231. #4070	C₂²×C₃	semidirect
232. C₂×#683	C₂²×C₃	semidirect
233. #4043	C₂²×C₃	semidirect
234. #4042	C₂²×C₃	semidirect
235. #4041	C₂²×C₃	semidirect
236. #4040	C₂²×C₃	semidirect
237. #4040	C₂²×C₃	semidirect
238. #4039	C₂²×C₃	semidirect
239. #4039	C₂²×C₃	semidirect
245. D₅×C₄⋊C₄	C₂²×C₃	semidirect
246. D₅×C₄⋊C₄	C₂²×C₃	semidirect
247. D₅×C₄⋊C₄	C₂²×C₃	semidirect
248. #4034	C₂²×C₃	semidirect
249. #4034	C₂²×C₃	semidirect
250. #4032	C₂²×C₃	semidirect
251. #4030	C₂²×C₃	semidirect
252. #4029	C₂²×C₃	semidirect
253. #4029	C₂²×C₃	semidirect
254. #4027	C₂²×C₃	semidirect
255. #4027	C₂²×C₃	semidirect
259. #4024	C₂²×C₃	semidirect
260. C₄×D₂₀	C₂²×C₃	semidirect
261. C₄×D₂₀	C₂²×C₃	semidirect
263. #4015	C₂²×C₃	semidirect
279. C₃×C₅×D₄	C₂×D₄	semidirect
292. C₃×C₂²⋊D₅	C₂×D₄	semidirect
304. C₃×D₂₀	C₂×D₄	semidirect
316. C₃×C₄×D₅	#41	semidirect
325. C₂×C₃×#41	C₂×D₅	semidirect
337. C₃×C₄⋊Q₈	C₂×D₅	semidirect
345. C₃×#123	C₂×D₅	semidirect
351. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
357. C₃×#121	C₂×D₅	semidirect
368. C₃×C₄×D₄	C₂×D₅	semidirect
369. C₃×C₄×D₄	C₂×D₅	semidirect
380. C₂×C₃×C₄⋊C₄	C₂×D₅	semidirect
408. D₄×D₅	C₃×D₄	semidirect
472. #547	C₃×D₅	direct (N × H)
503. C₃×C₄×C₅	C₂×#41	semidirect
509. C₃×Dic₅	C₂×#41	semidirect
602. C₅×D₄	C₂×C₃×D₄	semidirect
615. C₂²⋊D₅	C₂×C₃×D₄	semidirect
627. D₂₀	C₂×C₃×D₄	semidirect
639. C₄×D₅	C₃×#41	semidirect
648. C₂×#41	C₂×C₃×D₅	semidirect
660. C₄⋊Q₈	C₂×C₃×D₅	semidirect
668. #123	C₂×C₃×D₅	semidirect
674. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
680. #121	C₂×C₃×D₅	semidirect
691. C₄×D₄	C₂×C₃×D₅	semidirect
692. C₄×D₄	C₂×C₃×D₅	semidirect
703. C₂×C₄⋊C₄	C₂×C₃×D₅	semidirect
715. C₃×D₅	#547	direct (N × H)
739. C₃×D₄	D₄×D₅	semidirect
793. C₄×C₅	C₂×C₃×#41	semidirect
799. Dic₅	C₂×C₃×#41	semidirect
878. C₃×C₅	C₂×#547	semidirect
908. C₃×C₄	D₅×#41	semidirect
916. D₅	C₃×#547	direct (N × H)
940. D₄	C₃×D₄×D₅	semidirect
979. C₅	C₂×C₃×#547	semidirect
1009. C₄	C₃×D₅×#41	semidirect
1010. C₃	D₅×#547	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×#547	2
C₃×#66158	2
C₃×#66060	2
C₃×D₅×C₄⋊Q₈	2
C₃×#65989	2
C₃×D₅×#123	2
C₃×#65965	2
C₃×D₅×C₂²⋊Q₈	2
C₃×#65945	2
C₃×D₅×#121	2
C₃×#65889	2
C₃×#65885	2
C₃×C₄×D₄×D₅	2
C₃×#65841	2
C₂×C₃×D₅×C₄⋊C₄	2
D₅×#547	3
C₂×C₃×#547	5

Subgroups — C3×D5×#547 #14482668

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₅×#547 #14482668