Subgroups — C₃×D₅×#538 #14480747

Order 1920.

2672 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#66038	C₂	1	2	yes	maximal, complemented
3	C₃×D₅×#126	C₂	1	2	yes	maximal, complemented
4	C₃×#66012	C₂	1	2	yes	maximal, complemented
5	C₃×D₅×#124	C₂	1	2	yes	maximal, complemented
6	C₃×#65991	C₂	1	2	yes	maximal, complemented
7	C₃×D₅×#123	C₂	1	2	yes	maximal, complemented
8	C₃×#65978	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×D₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#65951	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#65947	C₂	1	2	yes	maximal, complemented
12	C₃×D₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×D₅×#121	C₂	1	2	yes	maximal, complemented
14	C₃×#65927	C₂	1	2	yes	maximal, complemented
15	C₃×D₅×#120	C₂	1	2	yes	maximal, complemented
16	C₃×#65894	C₂	1	2	yes	maximal, complemented
17	C₃×C₄×D₄×D₅	C₂	1	2	yes	maximal, complemented
18	C₃×#65828	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₃×D₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
20	D₅×#538	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
21	C₂⁴×C₃×D₅	C₂²	1	1	yes	characteristic
22	C₂×C₃×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
23	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
24	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
25	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
26	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
28	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
29	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
30	C₃×C₅×#126	C₂²	1	2	yes	complemented
31	C₃×C₅×#124	C₂²	1	2	yes	complemented
32	C₃×C₅×#123	C₂²	1	2	yes	complemented
33	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#121	C₂²	1	2	yes	complemented
35	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
36	C₃×C₅×#120	C₂²	1	2	yes	complemented
37	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
38	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
39	C₃×#4099	C₂²	1	2	yes	complemented
40	C₂×C₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
41	C₃×#4093	C₂²	1	2	yes	complemented
42	C₃×#4092	C₂²	1	1	yes	characteristic, complemented
43	C₃×#4085	C₂²	1	2	yes	complemented
44	C₃×#4085	C₂²	1	2	yes	complemented
45	C₃×#4085	C₂²	1	2	yes	complemented
46	C₃×#4084	C₂²	1	2	yes	complemented
47	C₃×#4084	C₂²	1	1	yes	characteristic, complemented
48	C₃×#4083	C₂²	1	2	yes	complemented
49	C₃×#4083	C₂²	1	2	yes	complemented
50	C₃×#4083	C₂²	1	2	yes	complemented
51	C₃×#4082	C₂²	1	2	yes	complemented
52	C₃×#4081	C₂²	1	2	yes	complemented
53	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
54	C₃×#4076	C₂²	1	2	yes	complemented
55	C₃×#4076	C₂²	1	1	yes	characteristic, complemented
56	C₃×#4075	C₂²	1	2	yes	complemented
57	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
58	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
59	C₂×C₃×#685	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×#685	C₂²	1	1	yes	characteristic, complemented
61	C₃×#4070	C₂²	1	1	yes	characteristic, complemented
62	C₃×#4044	C₂²	1	2	yes	complemented
63	C₃×#4044	C₂²	1	2	yes	complemented
64	C₃×#4044	C₂²	1	2	yes	complemented
65	C₃×#4043	C₂²	1	1	yes	characteristic, complemented
66	C₃×#4042	C₂²	1	2	yes	complemented
67	C₃×#4041	C₂²	1	2	yes	complemented
68	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
69	C₃×#4040	C₂²	1	2	yes	complemented
70	C₃×#4040	C₂²	1	2	yes	complemented
71	C₃×#4039	C₂²	1	2	yes	complemented
72	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
73	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
74	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
75	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4032	C₂²	1	2	yes	complemented
77	C₃×#4031	C₂²	1	2	yes	complemented
78	C₃×#4031	C₂²	1	2	yes	complemented
79	C₃×#4031	C₂²	1	2	yes	complemented
80	C₃×#4031	C₂²	1	2	yes	complemented
81	C₃×#4030	C₂²	1	2	yes	complemented
82	C₃×#4030	C₂²	1	2	yes	complemented
83	C₃×#4030	C₂²	1	2	yes	complemented
84	C₃×#4029	C₂²	1	2	yes	complemented
85	C₃×#4029	C₂²	1	2	yes	complemented
86	C₃×#4028	C₂²	1	2	yes	complemented
87	C₃×#4028	C₂²	1	2	yes	complemented
88	C₃×#4028	C₂²	1	2	yes	complemented
89	C₃×#4027	C₂²	1	2	yes	complemented
90	C₃×#4027	C₂²	1	2	yes	complemented
91	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
92	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
93	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
94	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
95	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
96	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
97	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
98	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
99	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
100	C₃×#4025	C₂²	1	2	yes	complemented
101	C₃×#4025	C₂²	1	2	yes	complemented
102	C₃×#4025	C₂²	1	2	yes	complemented
103	C₃×#4024	C₂²	1	2	yes	complemented
104	C₃×#4022	C₂²	1	2	yes	complemented
105	C₃×#4021	C₂²	1	2	yes	complemented
106	C₃×C₄×D₂₀	C₂²	1	2	yes	complemented
107	C₃×C₄²×D₅	C₂²	1	2	yes	complemented
108	C₂×C₃×#538	—	5	1	no	maximal, Hall
109	C₅×#538	C₂×C₃	1	1	yes	characteristic, complemented
110	#66038	C₂×C₃	1	2	yes	complemented
111	D₅×#126	C₂×C₃	1	2	yes	complemented
112	#66012	C₂×C₃	1	2	yes	complemented
113	D₅×#124	C₂×C₃	1	2	yes	complemented
114	#65991	C₂×C₃	1	2	yes	complemented
115	D₅×#123	C₂×C₃	1	2	yes	complemented
116	#65978	C₂×C₃	1	1	yes	characteristic, complemented
117	D₅×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
118	#65951	C₂×C₃	1	1	yes	characteristic, complemented
119	#65947	C₂×C₃	1	2	yes	complemented
120	D₅×#121	C₂×C₃	1	1	yes	characteristic, complemented
121	D₅×#121	C₂×C₃	1	2	yes	complemented
122	#65927	C₂×C₃	1	2	yes	complemented
123	D₅×#120	C₂×C₃	1	2	yes	complemented
124	#65894	C₂×C₃	1	2	yes	complemented
125	C₄×D₄×D₅	C₂×C₃	1	2	yes	complemented
126	#65828	C₂×C₃	1	1	yes	characteristic, complemented
127	C₂×D₅×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
128	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
129	C₂³×C₃×D₅	—	2	4	no	—
130	C₂³×C₃×D₅	—	4	2	no	—
131	C₂³×C₃×D₅	—	4	2	no	—
132	C₂³×C₃×D₅	C₂³	1	2	yes	—
133	C₂³×C₃×D₅	C₂³	1	2	yes	—
134	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
135	C₂³×C₃×D₅	C₂³	1	2	yes	—
136	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
137	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
138	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
139	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
140	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
141	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
142	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
143	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
144	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	complemented
145	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
146	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
147	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
148	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
149	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
150	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
151	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	complemented
152	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
153	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
154	C₂²×C₃×Dic₅	C₂³	1	2	yes	complemented
155	C₃×Q₈×D₅	—	4	2	no	—
156	C₃×D₄×D₅	—	2	8	no	—
157	C₃×D₄×D₅	—	4	4	no	—
158	C₃×D₄×D₅	—	4	4	no	—
159	C₃×D₄×D₅	—	4	2	no	—
160	C₂×C₃×D₂₀	C₂³	1	2	yes	—
161	C₂×C₃×D₂₀	C₂³	1	2	yes	—
162	C₂×C₃×D₂₀	C₂³	1	2	yes	—
163	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic, complemented
164	C₂×C₃×C₄×D₅	—	4	2	no	—
165	C₂×C₃×C₄×D₅	—	4	2	no	—
166	C₂×C₃×C₄×D₅	—	4	4	no	—
167	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
168	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
169	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
170	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
171	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
172	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
173	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
174	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
175	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
176	C₂×C₃×C₄×D₅	C₂³	1	2	yes	complemented
177	C₂×C₃×C₄×D₅	C₂³	1	2	yes	complemented
178	C₂×C₃×Dic₁₀	C₂³	1	2	yes	complemented
179	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
180	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
181	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
182	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
183	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
184	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
190	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
191	C₃×C₄²×C₅	C₂³	1	2	yes	complemented
192	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
193	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
194	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
195	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
196	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
197	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
198	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
199	C₃×#685	C₂³	1	2	yes	—
200	C₃×#685	C₂³	1	2	yes	—
201	C₃×#685	C₂³	1	2	yes	—
202	C₃×#685	C₂³	1	2	yes	—
203	C₃×#685	C₂³	1	2	yes	—
204	C₃×#685	C₂³	1	2	yes	—
205	C₃×#685	C₂³	1	2	yes	—
206	C₃×#685	C₂³	1	2	yes	—
207	C₃×#685	C₂³	1	2	yes	—
208	C₃×#685	C₂³	1	2	yes	—
209	C₃×#685	C₂³	1	2	yes	complemented
210	C₃×#685	C₂³	1	2	yes	complemented
211	C₃×#685	C₂³	1	2	yes	complemented
212	C₃×#685	C₂³	1	2	yes	complemented
213	C₃×C₄⋊Dic₅	C₂³	1	2	yes	complemented
214	C₃×C₄⋊Dic₅	C₂³	1	2	yes	complemented
215	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
216	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
217	C₃×#683	C₂³	1	2	yes	complemented
218	C₃×#683	C₂³	1	2	yes	complemented
219	C₃×#683	C₂³	1	2	yes	complemented
220	C₃×#683	C₂³	1	2	yes	complemented
221	C₃×#683	C₂³	1	2	yes	complemented
222	C₃×#683	C₂³	1	2	yes	complemented
223	C₃×C₄×Dic₅	C₂³	1	2	yes	complemented
224	C₃×C₄×Dic₅	C₂³	1	2	yes	complemented
225	C₃×C₄×Dic₅	C₂³	1	2	yes	complemented
226	C₃×#538	—	5	2	no	—
227	C₃×#538	—	5	2	no	—
228	C₃×#538	—	5	2	no	—
229	C₃×#538	—	5	1	no	—
230	C₃×#538	—	5	2	no	—
231	C₃×#538	—	5	1	no	—
232	C₃×#538	—	5	2	no	—
233	C₃×#538	—	5	2	no	—
234	C₃×#538	—	5	1	no	—
235	C₃×#538	D₅	1	1	yes	characteristic, direct product factor
236	C₂×C₃×#126	—	5	2	no	—
237	C₂×C₃×#124	—	5	2	no	—
238	C₂×C₃×#123	—	5	2	no	—
239	C₂×C₃×C₂²⋊Q₈	—	5	1	no	—
240	C₂×C₃×#121	—	5	2	no	—
241	C₂×C₃×#121	—	5	1	no	—
242	C₂×C₃×#120	—	5	2	no	—
243	C₂×C₃×C₄×D₄	—	5	2	no	—
244	C₂²×C₃×C₂²⋊C₄	—	5	1	no	—
245	C₂⁴×D₅	C₂²×C₃	1	1	yes	characteristic
246	C₂×Q₈×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
247	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
248	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
249	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
250	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
251	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
252	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
253	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
254	C₅×#126	C₂²×C₃	1	2	yes	complemented
255	C₅×#124	C₂²×C₃	1	2	yes	complemented
256	C₅×#123	C₂²×C₃	1	2	yes	complemented
257	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
258	C₅×#121	C₂²×C₃	1	2	yes	complemented
259	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
260	C₅×#120	C₂²×C₃	1	2	yes	complemented
261	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
262	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
263	#4099	C₂²×C₃	1	2	yes	complemented
264	C₂×C₂²⋊Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
265	#4093	C₂²×C₃	1	2	yes	complemented
266	#4092	C₂²×C₃	1	1	yes	characteristic, complemented
267	#4085	C₂²×C₃	1	2	yes	complemented
268	#4085	C₂²×C₃	1	2	yes	complemented
269	#4085	C₂²×C₃	1	2	yes	complemented
270	#4084	C₂²×C₃	1	2	yes	complemented
271	#4084	C₂²×C₃	1	1	yes	characteristic, complemented
272	#4083	C₂²×C₃	1	2	yes	complemented
273	#4083	C₂²×C₃	1	2	yes	complemented
274	#4083	C₂²×C₃	1	2	yes	complemented
275	#4082	C₂²×C₃	1	2	yes	complemented
276	#4081	C₂²×C₃	1	2	yes	complemented
277	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
278	#4076	C₂²×C₃	1	2	yes	complemented
279	#4076	C₂²×C₃	1	1	yes	characteristic, complemented
280	#4075	C₂²×C₃	1	2	yes	complemented
281	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
282	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
283	C₂×#685	C₂²×C₃	1	1	yes	characteristic, complemented
284	C₂×#685	C₂²×C₃	1	1	yes	characteristic, complemented
285	#4070	C₂²×C₃	1	1	yes	characteristic, complemented
286	#4044	C₂²×C₃	1	2	yes	complemented
287	#4044	C₂²×C₃	1	2	yes	complemented
288	#4044	C₂²×C₃	1	2	yes	complemented
289	#4043	C₂²×C₃	1	1	yes	characteristic, complemented
290	#4042	C₂²×C₃	1	2	yes	complemented
291	#4041	C₂²×C₃	1	2	yes	complemented
292	#4041	C₂²×C₃	1	1	yes	characteristic, complemented
293	#4040	C₂²×C₃	1	2	yes	complemented
294	#4040	C₂²×C₃	1	2	yes	complemented
295	#4039	C₂²×C₃	1	2	yes	complemented
296	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
297	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
298	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
299	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
300	#4032	C₂²×C₃	1	2	yes	complemented
301	#4031	C₂²×C₃	1	2	yes	complemented
302	#4031	C₂²×C₃	1	2	yes	complemented
303	#4031	C₂²×C₃	1	2	yes	complemented
304	#4031	C₂²×C₃	1	2	yes	complemented
305	#4030	C₂²×C₃	1	2	yes	complemented
306	#4030	C₂²×C₃	1	2	yes	complemented
307	#4030	C₂²×C₃	1	2	yes	complemented
308	#4029	C₂²×C₃	1	2	yes	complemented
309	#4029	C₂²×C₃	1	2	yes	complemented
310	#4028	C₂²×C₃	1	2	yes	complemented
311	#4028	C₂²×C₃	1	2	yes	complemented
312	#4028	C₂²×C₃	1	2	yes	complemented
313	#4027	C₂²×C₃	1	2	yes	complemented
314	#4027	C₂²×C₃	1	2	yes	complemented
315	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
316	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
317	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
318	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
319	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
320	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
321	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
322	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
323	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
324	#4025	C₂²×C₃	1	2	yes	complemented
325	#4025	C₂²×C₃	1	2	yes	complemented
326	#4025	C₂²×C₃	1	2	yes	complemented
327	#4024	C₂²×C₃	1	2	yes	complemented
328	#4022	C₂²×C₃	1	2	yes	complemented
329	#4021	C₂²×C₃	1	2	yes	complemented
330	C₄×D₂₀	C₂²×C₃	1	2	yes	complemented
331	C₄²×D₅	C₂²×C₃	1	2	yes	complemented
332	C₂×#538	—	5	1	no	Sylow
333	C₂³×C₃×C₅	—	2	2	no	—
334	C₂³×C₃×C₅	—	4	1	no	—
335	C₂³×C₃×C₅	—	4	1	no	—
336	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
337	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
338	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
339	C₂²×C₃×D₅	—	2	2	no	—
340	C₂²×C₃×D₅	—	2	2	no	—
341	C₂²×C₃×D₅	—	2	2	no	—
342	C₂²×C₃×D₅	—	2	4	no	—
343	C₂²×C₃×D₅	—	2	4	no	—
344	C₂²×C₃×D₅	—	2	4	no	—
345	C₂²×C₃×D₅	—	2	4	no	—
346	C₂²×C₃×D₅	—	2	4	no	—
347	C₂²×C₃×D₅	—	2	4	no	—
348	C₂²×C₃×D₅	—	2	4	no	—
349	C₂²×C₃×D₅	—	4	2	no	—
350	C₂²×C₃×D₅	—	4	2	no	—
351	C₂²×C₃×D₅	—	4	1	no	—
352	C₂²×C₃×D₅	—	4	1	no	—
353	C₂²×C₃×D₅	—	4	16	no	—
354	C₂²×C₃×D₅	#41	1	4	yes	—
355	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
356	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
357	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
358	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
359	C₃×C₅×Q₈	—	4	1	no	—
360	C₃×C₅×D₄	—	2	4	no	—
361	C₃×C₅×D₄	—	4	2	no	—
362	C₃×C₅×D₄	—	4	2	no	—
363	C₃×C₅×D₄	—	4	1	no	—
364	C₂×C₃×C₄×C₅	—	4	1	no	—
365	C₂×C₃×C₄×C₅	—	4	1	no	—
366	C₂×C₃×C₄×C₅	—	4	2	no	—
367	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
368	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
369	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
370	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
371	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
372	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
373	C₃×C₂²⋊D₅	—	2	4	no	—
374	C₃×C₂²⋊D₅	—	2	4	no	—
375	C₃×C₂²⋊D₅	—	4	2	no	—
376	C₃×C₂²⋊D₅	—	4	2	no	—
377	C₃×C₂²⋊D₅	—	4	2	no	—
378	C₃×C₂²⋊D₅	—	4	2	no	—
379	C₃×C₂²⋊D₅	—	4	2	no	—
380	C₂×C₃×Dic₅	—	4	1	no	—
381	C₂×C₃×Dic₅	—	4	1	no	—
382	C₂×C₃×Dic₅	—	4	2	no	—
383	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
384	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
385	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
386	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
387	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
388	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
389	C₃×D₂₀	—	2	4	no	—
390	C₃×D₂₀	—	4	2	no	—
391	C₃×D₂₀	—	4	2	no	—
392	C₃×D₂₀	—	4	1	no	—
393	C₃×C₄×D₅	—	2	4	no	—
394	C₃×C₄×D₅	—	2	4	no	—
395	C₃×C₄×D₅	—	2	2	no	—
396	C₃×C₄×D₅	—	2	4	no	—
397	C₃×C₄×D₅	—	2	2	no	—
398	C₃×C₄×D₅	—	2	4	no	—
399	C₃×C₄×D₅	—	4	1	no	—
400	C₃×C₄×D₅	—	4	2	no	—
401	C₃×C₄×D₅	—	4	1	no	—
402	C₃×C₄×D₅	—	4	2	no	—
403	C₃×C₄×D₅	—	4	2	no	—
404	C₃×Dic₁₀	—	4	2	no	—
405	C₃×Dic₁₀	—	4	1	no	—
406	C₂⁵×C₃	—	5	1	no	—
407	C₂²×C₃×Q₈	—	5	1	no	—
408	C₂²×C₃×D₄	—	5	2	no	—
409	C₂²×C₃×D₄	—	5	2	no	—
410	C₂²×C₃×D₄	—	5	2	no	—
411	C₂²×C₃×D₄	—	5	1	no	—
412	C₂³×C₃×C₄	—	5	1	no	—
413	C₂³×C₃×C₄	—	5	1	no	—
414	C₂³×C₃×C₄	—	5	2	no	—
415	C₃×#126	—	5	2	no	—
416	C₃×#126	—	5	2	no	—
417	C₃×#126	—	5	2	no	—
418	C₃×#126	—	5	2	no	—
419	C₃×#126	—	5	2	no	—
420	C₃×#126	—	5	2	no	—
421	C₃×#126	—	5	2	no	—
422	C₃×#126	C₂×D₅	1	2	yes	complemented
423	C₃×#124	—	5	2	no	—
424	C₃×#124	—	5	2	no	—
425	C₃×#124	—	5	2	no	—
426	C₃×#124	—	5	2	no	—
427	C₃×#124	—	5	2	no	—
428	C₃×#124	—	5	2	no	—
429	C₃×#124	—	5	2	no	—
430	C₃×#124	C₂×D₅	1	2	yes	complemented
431	C₃×#123	—	5	2	no	—
432	C₃×#123	—	5	2	no	—
433	C₃×#123	—	5	2	no	—
434	C₃×#123	—	5	2	no	—
435	C₃×#123	—	5	2	no	—
436	C₃×#123	—	5	2	no	—
437	C₃×#123	—	5	2	no	—
438	C₃×#123	C₂×D₅	1	2	yes	complemented
439	C₃×C₂²⋊Q₈	—	5	1	no	—
440	C₃×C₂²⋊Q₈	—	5	1	no	—
441	C₃×C₂²⋊Q₈	—	5	2	no	—
442	C₃×C₂²⋊Q₈	—	5	1	no	—
443	C₃×C₂²⋊Q₈	—	5	2	no	—
444	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
445	C₃×#121	—	5	2	no	—
446	C₃×#121	—	5	2	no	—
447	C₃×#121	—	5	2	no	—
448	C₃×#121	—	5	1	no	—
449	C₃×#121	—	5	2	no	—
450	C₃×#121	—	5	1	no	—
451	C₃×#121	—	5	2	no	—
452	C₃×#121	—	5	2	no	—
453	C₃×#121	—	5	1	no	—
454	C₃×#121	—	5	2	no	—
455	C₃×#121	—	5	2	no	—
456	C₃×#121	—	5	2	no	—
457	C₃×#121	C₂×D₅	1	2	yes	complemented
458	C₃×#121	C₂×D₅	1	1	yes	characteristic, complemented
459	C₃×#120	—	5	2	no	—
460	C₃×#120	—	5	2	no	—
461	C₃×#120	—	5	2	no	—
462	C₃×#120	—	5	2	no	—
463	C₃×#120	—	5	2	no	—
464	C₃×#120	—	5	2	no	—
465	C₃×#120	—	5	2	no	—
466	C₃×#120	C₂×D₅	1	2	yes	complemented
467	C₃×C₄×D₄	—	5	2	no	—
468	C₃×C₄×D₄	—	5	2	no	—
469	C₃×C₄×D₄	—	5	2	no	—
470	C₃×C₄×D₄	—	5	2	no	—
471	C₃×C₄×D₄	—	5	2	no	—
472	C₃×C₄×D₄	—	5	2	no	—
473	C₃×C₄×D₄	—	5	2	no	—
474	C₃×C₄×D₄	C₂×D₅	1	2	yes	complemented
475	C₂×C₃×C₄⋊C₄	—	5	2	no	—
476	C₂×C₃×C₄⋊C₄	—	5	2	no	—
477	C₂×C₃×C₄⋊C₄	—	5	1	no	—
478	C₂×C₃×C₄⋊C₄	—	5	1	no	—
479	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
480	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
481	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
482	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
483	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
484	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
485	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
486	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
487	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
488	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
489	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
490	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
491	C₂×C₃×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
492	C₂×C₃×C₄²	—	5	2	no	—
493	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
494	C₂³×D₅	—	2	4	no	—
495	C₂³×D₅	—	4	2	no	—
496	C₂³×D₅	—	4	2	no	—
497	C₂³×D₅	C₂³×C₃	1	2	yes	—
498	C₂³×D₅	C₂³×C₃	1	2	yes	—
499	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
500	C₂³×D₅	C₂³×C₃	1	2	yes	—
501	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
502	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
503	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
504	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
505	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
506	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic, complemented
507	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
508	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
509	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	complemented
510	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
511	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
512	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
513	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
514	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
515	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
516	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	complemented
517	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
518	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
519	C₂²×Dic₅	C₂³×C₃	1	2	yes	complemented
520	Q₈×D₅	—	4	2	no	—
521	D₄×D₅	—	2	8	no	—
522	D₄×D₅	—	4	4	no	—
523	D₄×D₅	—	4	4	no	—
524	D₄×D₅	—	4	2	no	—
525	C₂×D₂₀	C₂³×C₃	1	2	yes	—
526	C₂×D₂₀	C₂³×C₃	1	2	yes	—
527	C₂×D₂₀	C₂³×C₃	1	2	yes	—
528	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic, complemented
529	C₂×C₄×D₅	—	4	2	no	—
530	C₂×C₄×D₅	—	4	2	no	—
531	C₂×C₄×D₅	—	4	4	no	—
532	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
533	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
534	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
535	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
536	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
537	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
538	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
539	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
540	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
541	C₂×C₄×D₅	C₂³×C₃	1	2	yes	complemented
542	C₂×C₄×D₅	C₂³×C₃	1	2	yes	complemented
543	C₂×Dic₁₀	C₂³×C₃	1	2	yes	complemented
544	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic, complemented
545	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
546	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
547	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
548	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
549	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
550	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
551	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
552	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
553	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
554	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
555	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
556	C₄²×C₅	C₂³×C₃	1	2	yes	complemented
557	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
558	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
559	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
560	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
561	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
562	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	complemented
563	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	complemented
564	#685	C₂³×C₃	1	2	yes	—
565	#685	C₂³×C₃	1	2	yes	—
566	#685	C₂³×C₃	1	2	yes	—
567	#685	C₂³×C₃	1	2	yes	—
568	#685	C₂³×C₃	1	2	yes	—
569	#685	C₂³×C₃	1	2	yes	—
570	#685	C₂³×C₃	1	2	yes	—
571	#685	C₂³×C₃	1	2	yes	—
572	#685	C₂³×C₃	1	2	yes	—
573	#685	C₂³×C₃	1	2	yes	—
574	#685	C₂³×C₃	1	2	yes	complemented
575	#685	C₂³×C₃	1	2	yes	complemented
576	#685	C₂³×C₃	1	2	yes	complemented
577	#685	C₂³×C₃	1	2	yes	complemented
578	C₄⋊Dic₅	C₂³×C₃	1	2	yes	complemented
579	C₄⋊Dic₅	C₂³×C₃	1	2	yes	complemented
580	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
581	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
582	#683	C₂³×C₃	1	2	yes	complemented
583	#683	C₂³×C₃	1	2	yes	complemented
584	#683	C₂³×C₃	1	2	yes	complemented
585	#683	C₂³×C₃	1	2	yes	complemented
586	#683	C₂³×C₃	1	2	yes	complemented
587	#683	C₂³×C₃	1	2	yes	complemented
588	C₄×Dic₅	C₂³×C₃	1	2	yes	complemented
589	C₄×Dic₅	C₂³×C₃	1	2	yes	complemented
590	C₄×Dic₅	C₂³×C₃	1	2	yes	complemented
591	#538	—	5	2	no	—
592	#538	—	5	2	no	—
593	#538	—	5	2	no	—
594	#538	—	5	1	no	—
595	#538	—	5	2	no	—
596	#538	—	5	1	no	—
597	#538	—	5	2	no	—
598	#538	—	5	2	no	—
599	#538	—	5	1	no	—
600	#538	C₃×D₅	1	1	yes	characteristic, direct product factor
601	C₂×#126	—	5	2	no	—
602	C₂×#124	—	5	2	no	—
603	C₂×#123	—	5	2	no	—
604	C₂×C₂²⋊Q₈	—	5	1	no	—
605	C₂×#121	—	5	2	no	—
606	C₂×#121	—	5	1	no	—
607	C₂×#120	—	5	2	no	—
608	C₂×C₄×D₄	—	5	2	no	—
609	C₂²×C₂²⋊C₄	—	5	1	no	—
610	C₂²×C₃×C₅	—	2	1	no	—
611	C₂²×C₃×C₅	—	2	1	no	—
612	C₂²×C₃×C₅	—	2	2	no	—
613	C₂²×C₃×C₅	—	2	2	no	—
614	C₂²×C₃×C₅	—	2	2	no	—
615	C₂²×C₃×C₅	—	2	2	no	—
616	C₂²×C₃×C₅	—	2	2	no	—
617	C₂²×C₃×C₅	—	2	2	no	—
618	C₂²×C₃×C₅	—	4	4	no	—
619	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
620	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
621	C₂×C₃×D₅	—	2	1	no	—
622	C₂×C₃×D₅	—	2	1	no	—
623	C₂×C₃×D₅	—	2	8	no	—
624	C₂×C₃×D₅	—	2	2	no	—
625	C₂×C₃×D₅	—	2	2	no	—
626	C₂×C₃×D₅	—	2	2	no	—
627	C₂×C₃×D₅	—	2	2	no	—
628	C₂×C₃×D₅	—	2	2	no	—
629	C₂×C₃×D₅	—	2	2	no	—
630	C₂×C₃×D₅	—	4	8	no	—
631	C₂×C₃×D₅	—	4	4	no	—
632	C₂×C₃×D₅	—	4	8	no	—
633	C₂×C₃×D₅	—	4	8	no	—
634	C₂×C₃×D₅	C₂×#41	1	2	yes	—
635	C₂×C₃×D₅	C₂×#41	1	2	yes	—
636	C₂×C₃×D₅	H(5,𝔽₂)	1	2	yes	—
637	C₂×C₃×D₅	H(5,𝔽₂)	1	2	yes	—
638	C₃×C₄×C₅	—	2	2	no	—
639	C₃×C₄×C₅	—	2	1	no	—
640	C₃×C₄×C₅	—	2	2	no	—
641	C₃×C₄×C₅	—	2	2	no	—
642	C₃×C₄×C₅	—	2	1	no	—
643	C₃×C₄×C₅	—	2	2	no	—
644	C₃×Dic₅	—	2	2	no	—
645	C₃×Dic₅	—	2	1	no	—
646	C₃×Dic₅	—	2	2	no	—
647	C₃×Dic₅	—	2	2	no	—
648	C₃×Dic₅	—	2	1	no	—
649	C₃×Dic₅	—	2	2	no	—
650	C₂⁴×C₃	—	5	1	no	—
651	C₂⁴×C₃	—	5	2	no	—
652	C₂⁴×C₃	—	5	2	no	—
653	C₂⁴×C₃	—	5	2	no	—
654	C₂⁴×C₃	—	5	1	no	—
655	C₂⁴×C₃	—	10	4	no	—
656	C₂⁴×C₃	—	20	2	no	—
657	C₂⁴×C₃	—	20	2	no	—
658	C₂⁴×C₃	C₂²×D₅	1	1	yes	characteristic
659	C₂×C₃×Q₈	—	5	1	no	—
660	C₂×C₃×Q₈	—	5	2	no	—
661	C₂×C₃×Q₈	—	20	2	no	—
662	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
663	C₂×C₃×D₄	—	5	2	no	—
664	C₂×C₃×D₄	—	5	2	no	—
665	C₂×C₃×D₄	—	5	2	no	—
666	C₂×C₃×D₄	—	5	2	no	—
667	C₂×C₃×D₄	—	5	2	no	—
668	C₂×C₃×D₄	—	5	2	no	—
669	C₂×C₃×D₄	—	5	2	no	—
670	C₂×C₃×D₄	—	5	2	no	—
671	C₂×C₃×D₄	—	5	2	no	—
672	C₂×C₃×D₄	—	5	2	no	—
673	C₂×C₃×D₄	—	5	1	no	—
674	C₂×C₃×D₄	—	10	8	no	—
675	C₂×C₃×D₄	—	20	4	no	—
676	C₂×C₃×D₄	—	20	2	no	—
677	C₂×C₃×D₄	—	20	4	no	—
678	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
679	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
680	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
681	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
682	C₂²×C₃×C₄	—	5	1	no	—
683	C₂²×C₃×C₄	—	5	1	no	—
684	C₂²×C₃×C₄	—	5	2	no	—
685	C₂²×C₃×C₄	—	5	2	no	—
686	C₂²×C₃×C₄	—	5	2	no	—
687	C₂²×C₃×C₄	—	5	2	no	—
688	C₂²×C₃×C₄	—	5	1	no	—
689	C₂²×C₃×C₄	—	5	1	no	—
690	C₂²×C₃×C₄	—	5	2	no	—
691	C₂²×C₃×C₄	—	5	2	no	—
692	C₂²×C₃×C₄	—	5	1	no	—
693	C₂²×C₃×C₄	—	5	1	no	—
694	C₂²×C₃×C₄	—	5	2	no	—
695	C₂²×C₃×C₄	—	5	2	no	—
696	C₂²×C₃×C₄	—	20	2	no	—
697	C₂²×C₃×C₄	—	20	2	no	—
698	C₂²×C₃×C₄	—	20	4	no	—
699	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
700	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
701	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	complemented
702	C₃×C₄⋊C₄	—	5	2	no	—
703	C₃×C₄⋊C₄	—	5	2	no	—
704	C₃×C₄⋊C₄	—	5	2	no	—
705	C₃×C₄⋊C₄	—	5	2	no	—
706	C₃×C₄⋊C₄	—	5	2	no	—
707	C₃×C₄⋊C₄	—	5	2	no	—
708	C₃×C₄⋊C₄	—	5	2	no	—
709	C₃×C₄⋊C₄	—	5	2	no	—
710	C₃×C₄⋊C₄	—	5	1	no	—
711	C₃×C₄⋊C₄	—	5	1	no	—
712	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	complemented
713	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	complemented
714	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
715	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
716	C₃×C₂²⋊C₄	—	5	2	no	—
717	C₃×C₂²⋊C₄	—	5	2	no	—
718	C₃×C₂²⋊C₄	—	5	2	no	—
719	C₃×C₂²⋊C₄	—	5	2	no	—
720	C₃×C₂²⋊C₄	—	5	2	no	—
721	C₃×C₂²⋊C₄	—	5	2	no	—
722	C₃×C₂²⋊C₄	—	5	2	no	—
723	C₃×C₂²⋊C₄	—	5	2	no	—
724	C₃×C₂²⋊C₄	—	5	2	no	—
725	C₃×C₂²⋊C₄	—	5	2	no	—
726	C₃×C₂²⋊C₄	—	5	2	no	—
727	C₃×C₂²⋊C₄	—	5	2	no	—
728	C₃×C₂²⋊C₄	—	5	2	no	—
729	C₃×C₂²⋊C₄	—	5	2	no	—
730	C₃×C₂²⋊C₄	—	5	2	no	—
731	C₃×C₂²⋊C₄	—	5	2	no	—
732	C₃×C₂²⋊C₄	—	5	2	no	—
733	C₃×C₂²⋊C₄	—	5	2	no	—
734	C₃×C₂²⋊C₄	—	5	2	no	—
735	C₃×C₂²⋊C₄	—	5	2	no	—
736	C₃×C₂²⋊C₄	—	5	2	no	—
737	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
738	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
739	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
740	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
741	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
742	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
743	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
744	C₃×C₄²	—	5	2	no	—
745	C₃×C₄²	—	5	2	no	—
746	C₃×C₄²	—	5	2	no	—
747	C₃×C₄²	C₂²×D₅	1	2	yes	complemented
748	C₂³×C₅	—	2	2	no	—
749	C₂³×C₅	—	4	1	no	—
750	C₂³×C₅	—	4	1	no	—
751	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
752	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
753	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
754	C₂²×D₅	—	2	2	no	—
755	C₂²×D₅	—	2	2	no	—
756	C₂²×D₅	—	2	2	no	—
757	C₂²×D₅	—	2	4	no	—
758	C₂²×D₅	—	2	4	no	—
759	C₂²×D₅	—	2	4	no	—
760	C₂²×D₅	—	2	4	no	—
761	C₂²×D₅	—	2	4	no	—
762	C₂²×D₅	—	2	4	no	—
763	C₂²×D₅	—	2	4	no	—
764	C₂²×D₅	—	4	2	no	—
765	C₂²×D₅	—	4	2	no	—
766	C₂²×D₅	—	4	1	no	—
767	C₂²×D₅	—	4	1	no	—
768	C₂²×D₅	—	4	16	no	—
769	C₂²×D₅	C₃×#41	1	4	yes	—
770	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
771	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
772	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
773	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
774	C₅×Q₈	—	4	1	no	—
775	C₅×D₄	—	2	4	no	—
776	C₅×D₄	—	4	2	no	—
777	C₅×D₄	—	4	2	no	—
778	C₅×D₄	—	4	1	no	—
779	C₂×C₄×C₅	—	4	1	no	—
780	C₂×C₄×C₅	—	4	1	no	—
781	C₂×C₄×C₅	—	4	2	no	—
782	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
783	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
784	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
785	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
786	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
787	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
788	C₂²⋊D₅	—	2	4	no	—
789	C₂²⋊D₅	—	2	4	no	—
790	C₂²⋊D₅	—	4	2	no	—
791	C₂²⋊D₅	—	4	2	no	—
792	C₂²⋊D₅	—	4	2	no	—
793	C₂²⋊D₅	—	4	2	no	—
794	C₂²⋊D₅	—	4	2	no	—
795	C₂×Dic₅	—	4	1	no	—
796	C₂×Dic₅	—	4	1	no	—
797	C₂×Dic₅	—	4	2	no	—
798	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
799	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
800	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
801	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
802	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
803	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
804	D₂₀	—	2	4	no	—
805	D₂₀	—	4	2	no	—
806	D₂₀	—	4	2	no	—
807	D₂₀	—	4	1	no	—
808	C₄×D₅	—	2	4	no	—
809	C₄×D₅	—	2	4	no	—
810	C₄×D₅	—	2	2	no	—
811	C₄×D₅	—	2	4	no	—
812	C₄×D₅	—	2	2	no	—
813	C₄×D₅	—	2	4	no	—
814	C₄×D₅	—	4	1	no	—
815	C₄×D₅	—	4	2	no	—
816	C₄×D₅	—	4	1	no	—
817	C₄×D₅	—	4	2	no	—
818	C₄×D₅	—	4	2	no	—
819	Dic₁₀	—	4	2	no	—
820	Dic₁₀	—	4	1	no	—
821	C₂⁵	—	5	1	no	—
822	C₂²×Q₈	—	5	1	no	—
823	C₂²×D₄	—	5	2	no	—
824	C₂²×D₄	—	5	2	no	—
825	C₂²×D₄	—	5	2	no	—
826	C₂²×D₄	—	5	1	no	—
827	C₂³×C₄	—	5	1	no	—
828	C₂³×C₄	—	5	1	no	—
829	C₂³×C₄	—	5	2	no	—
830	#126	—	5	2	no	—
831	#126	—	5	2	no	—
832	#126	—	5	2	no	—
833	#126	—	5	2	no	—
834	#126	—	5	2	no	—
835	#126	—	5	2	no	—
836	#126	—	5	2	no	—
837	#126	C₂×C₃×D₅	1	2	yes	complemented
838	#124	—	5	2	no	—
839	#124	—	5	2	no	—
840	#124	—	5	2	no	—
841	#124	—	5	2	no	—
842	#124	—	5	2	no	—
843	#124	—	5	2	no	—
844	#124	—	5	2	no	—
845	#124	C₂×C₃×D₅	1	2	yes	complemented
846	#123	—	5	2	no	—
847	#123	—	5	2	no	—
848	#123	—	5	2	no	—
849	#123	—	5	2	no	—
850	#123	—	5	2	no	—
851	#123	—	5	2	no	—
852	#123	—	5	2	no	—
853	#123	C₂×C₃×D₅	1	2	yes	complemented
854	C₂²⋊Q₈	—	5	1	no	—
855	C₂²⋊Q₈	—	5	1	no	—
856	C₂²⋊Q₈	—	5	2	no	—
857	C₂²⋊Q₈	—	5	1	no	—
858	C₂²⋊Q₈	—	5	2	no	—
859	C₂²⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
860	#121	—	5	2	no	—
861	#121	—	5	2	no	—
862	#121	—	5	2	no	—
863	#121	—	5	1	no	—
864	#121	—	5	2	no	—
865	#121	—	5	1	no	—
866	#121	—	5	2	no	—
867	#121	—	5	2	no	—
868	#121	—	5	1	no	—
869	#121	—	5	2	no	—
870	#121	—	5	2	no	—
871	#121	—	5	2	no	—
872	#121	C₂×C₃×D₅	1	2	yes	complemented
873	#121	C₂×C₃×D₅	1	1	yes	characteristic, complemented
874	#120	—	5	2	no	—
875	#120	—	5	2	no	—
876	#120	—	5	2	no	—
877	#120	—	5	2	no	—
878	#120	—	5	2	no	—
879	#120	—	5	2	no	—
880	#120	—	5	2	no	—
881	#120	C₂×C₃×D₅	1	2	yes	complemented
882	C₄×D₄	—	5	2	no	—
883	C₄×D₄	—	5	2	no	—
884	C₄×D₄	—	5	2	no	—
885	C₄×D₄	—	5	2	no	—
886	C₄×D₄	—	5	2	no	—
887	C₄×D₄	—	5	2	no	—
888	C₄×D₄	—	5	2	no	—
889	C₄×D₄	C₂×C₃×D₅	1	2	yes	complemented
890	C₂×C₄⋊C₄	—	5	2	no	—
891	C₂×C₄⋊C₄	—	5	2	no	—
892	C₂×C₄⋊C₄	—	5	1	no	—
893	C₂×C₄⋊C₄	—	5	1	no	—
894	C₂×C₂²⋊C₄	—	5	1	no	—
895	C₂×C₂²⋊C₄	—	5	1	no	—
896	C₂×C₂²⋊C₄	—	5	1	no	—
897	C₂×C₂²⋊C₄	—	5	2	no	—
898	C₂×C₂²⋊C₄	—	5	2	no	—
899	C₂×C₂²⋊C₄	—	5	2	no	—
900	C₂×C₂²⋊C₄	—	5	2	no	—
901	C₂×C₂²⋊C₄	—	5	2	no	—
902	C₂×C₂²⋊C₄	—	5	2	no	—
903	C₂×C₂²⋊C₄	—	5	2	no	—
904	C₂×C₂²⋊C₄	—	5	2	no	—
905	C₂×C₂²⋊C₄	—	5	2	no	—
906	C₂×C₂²⋊C₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
907	C₂×C₄²	—	5	2	no	—
908	C₂×C₃×C₅	—	2	2	no	—
909	C₂×C₃×C₅	—	4	2	no	—
910	C₂×C₃×C₅	—	4	2	no	—
911	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
912	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
913	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
914	C₃×D₅	—	2	2	no	—
915	C₃×D₅	—	4	2	no	—
916	C₃×D₅	—	4	2	no	—
917	C₃×D₅	#538	1	4	yes	direct product factor
918	C₂³×C₃	—	2	2	no	—
919	C₂³×C₃	—	4	1	no	—
920	C₂³×C₃	—	4	1	no	—
921	C₂³×C₃	—	5	1	no	—
922	C₂³×C₃	—	5	4	no	—
923	C₂³×C₃	—	5	1	no	—
924	C₂³×C₃	—	5	2	no	—
925	C₂³×C₃	—	5	2	no	—
926	C₂³×C₃	—	10	2	no	—
927	C₂³×C₃	—	10	2	no	—
928	C₂³×C₃	—	10	4	no	—
929	C₂³×C₃	—	10	4	no	—
930	C₂³×C₃	—	10	4	no	—
931	C₂³×C₃	—	10	4	no	—
932	C₂³×C₃	—	10	4	no	—
933	C₂³×C₃	—	10	4	no	—
934	C₂³×C₃	—	10	4	no	—
935	C₂³×C₃	—	10	2	no	—
936	C₂³×C₃	—	20	1	no	—
937	C₂³×C₃	—	20	1	no	—
938	C₂³×C₃	—	20	2	no	—
939	C₂³×C₃	—	20	2	no	—
940	C₂³×C₃	—	20	16	no	—
941	C₂³×C₃	C₂³×D₅	1	2	yes	—
942	C₂³×C₃	C₂³×D₅	1	2	yes	—
943	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
944	C₃×Q₈	—	4	1	no	—
945	C₃×Q₈	—	20	1	no	—
946	C₃×Q₈	—	20	2	no	—
947	C₃×D₄	—	2	4	no	—
948	C₃×D₄	—	4	2	no	—
949	C₃×D₄	—	4	2	no	—
950	C₃×D₄	—	4	1	no	—
951	C₃×D₄	—	10	4	no	—
952	C₃×D₄	—	10	4	no	—
953	C₃×D₄	—	10	4	no	—
954	C₃×D₄	—	20	2	no	—
955	C₃×D₄	—	20	1	no	—
956	C₃×D₄	—	20	2	no	—
957	C₃×D₄	—	20	2	no	—
958	C₃×D₄	—	20	2	no	—
959	C₃×D₄	—	20	2	no	—
960	C₃×D₄	—	20	2	no	—
961	C₃×D₄	—	20	2	no	—
962	C₂×C₃×C₄	—	4	1	no	—
963	C₂×C₃×C₄	—	4	1	no	—
964	C₂×C₃×C₄	—	4	2	no	—
965	C₂×C₃×C₄	—	5	2	no	—
966	C₂×C₃×C₄	—	5	2	no	—
967	C₂×C₃×C₄	—	5	2	no	—
968	C₂×C₃×C₄	—	5	1	no	—
969	C₂×C₃×C₄	—	5	1	no	—
970	C₂×C₃×C₄	—	5	2	no	—
971	C₂×C₃×C₄	—	10	4	no	—
972	C₂×C₃×C₄	—	10	2	no	—
973	C₂×C₃×C₄	—	10	4	no	—
974	C₂×C₃×C₄	—	10	2	no	—
975	C₂×C₃×C₄	—	10	4	no	—
976	C₂×C₃×C₄	—	10	4	no	—
977	C₂×C₃×C₄	—	20	2	no	—
978	C₂×C₃×C₄	—	20	2	no	—
979	C₂×C₃×C₄	—	20	2	no	—
980	C₂×C₃×C₄	—	20	1	no	—
981	C₂×C₃×C₄	—	20	1	no	—
982	C₂×C₃×C₄	—	20	1	no	—
983	C₂×C₃×C₄	—	20	2	no	—
984	C₂×C₃×C₄	—	20	1	no	—
985	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
986	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
987	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
988	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
989	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
990	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
991	C₂²×C₅	—	2	1	no	—
992	C₂²×C₅	—	2	1	no	—
993	C₂²×C₅	—	2	2	no	—
994	C₂²×C₅	—	2	2	no	—
995	C₂²×C₅	—	2	2	no	—
996	C₂²×C₅	—	2	2	no	—
997	C₂²×C₅	—	2	2	no	—
998	C₂²×C₅	—	2	2	no	—
999	C₂²×C₅	—	4	4	no	—
1000	C₂²×C₅	C₂×C₃×#41	1	2	yes	—
1001	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1002	C₂×D₅	—	2	1	no	—
1003	C₂×D₅	—	2	1	no	—
1004	C₂×D₅	—	2	8	no	—
1005	C₂×D₅	—	2	2	no	—
1006	C₂×D₅	—	2	2	no	—
1007	C₂×D₅	—	2	2	no	—
1008	C₂×D₅	—	2	2	no	—
1009	C₂×D₅	—	2	2	no	—
1010	C₂×D₅	—	2	2	no	—
1011	C₂×D₅	—	4	8	no	—
1012	C₂×D₅	—	4	4	no	—
1013	C₂×D₅	—	4	8	no	—
1014	C₂×D₅	—	4	8	no	—
1015	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1016	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1017	C₂×D₅	C₃×H(5,𝔽₂)	1	2	yes	—
1018	C₂×D₅	C₃×H(5,𝔽₂)	1	2	yes	—
1019	C₄×C₅	—	2	2	no	—
1020	C₄×C₅	—	2	1	no	—
1021	C₄×C₅	—	2	2	no	—
1022	C₄×C₅	—	2	2	no	—
1023	C₄×C₅	—	2	1	no	—
1024	C₄×C₅	—	2	2	no	—
1025	Dic₅	—	2	2	no	—
1026	Dic₅	—	2	1	no	—
1027	Dic₅	—	2	2	no	—
1028	Dic₅	—	2	2	no	—
1029	Dic₅	—	2	1	no	—
1030	Dic₅	—	2	2	no	—
1031	C₂⁴	—	5	1	no	—
1032	C₂⁴	—	5	2	no	—
1033	C₂⁴	—	5	2	no	—
1034	C₂⁴	—	5	2	no	—
1035	C₂⁴	—	5	1	no	—
1036	C₂⁴	—	10	4	no	—
1037	C₂⁴	—	20	2	no	—
1038	C₂⁴	—	20	2	no	—
1039	C₂⁴	C₂²×C₃×D₅	1	1	yes	characteristic
1040	C₂×Q₈	—	5	1	no	—
1041	C₂×Q₈	—	5	2	no	—
1042	C₂×Q₈	—	20	2	no	—
1043	C₂×Q₈	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1044	C₂×D₄	—	5	2	no	—
1045	C₂×D₄	—	5	2	no	—
1046	C₂×D₄	—	5	2	no	—
1047	C₂×D₄	—	5	2	no	—
1048	C₂×D₄	—	5	2	no	—
1049	C₂×D₄	—	5	2	no	—
1050	C₂×D₄	—	5	2	no	—
1051	C₂×D₄	—	5	2	no	—
1052	C₂×D₄	—	5	2	no	—
1053	C₂×D₄	—	5	2	no	—
1054	C₂×D₄	—	5	1	no	—
1055	C₂×D₄	—	10	8	no	—
1056	C₂×D₄	—	20	4	no	—
1057	C₂×D₄	—	20	2	no	—
1058	C₂×D₄	—	20	4	no	—
1059	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1060	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1061	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1062	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1063	C₂²×C₄	—	5	1	no	—
1064	C₂²×C₄	—	5	1	no	—
1065	C₂²×C₄	—	5	2	no	—
1066	C₂²×C₄	—	5	2	no	—
1067	C₂²×C₄	—	5	2	no	—
1068	C₂²×C₄	—	5	2	no	—
1069	C₂²×C₄	—	5	1	no	—
1070	C₂²×C₄	—	5	1	no	—
1071	C₂²×C₄	—	5	2	no	—
1072	C₂²×C₄	—	5	2	no	—
1073	C₂²×C₄	—	5	1	no	—
1074	C₂²×C₄	—	5	1	no	—
1075	C₂²×C₄	—	5	2	no	—
1076	C₂²×C₄	—	5	2	no	—
1077	C₂²×C₄	—	20	2	no	—
1078	C₂²×C₄	—	20	2	no	—
1079	C₂²×C₄	—	20	4	no	—
1080	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1081	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1082	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	complemented
1083	C₄⋊C₄	—	5	2	no	—
1084	C₄⋊C₄	—	5	2	no	—
1085	C₄⋊C₄	—	5	2	no	—
1086	C₄⋊C₄	—	5	2	no	—
1087	C₄⋊C₄	—	5	2	no	—
1088	C₄⋊C₄	—	5	2	no	—
1089	C₄⋊C₄	—	5	2	no	—
1090	C₄⋊C₄	—	5	1	no	—
1091	C₄⋊C₄	—	5	2	no	—
1092	C₄⋊C₄	—	5	1	no	—
1093	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1094	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1095	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1096	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1097	C₂²⋊C₄	—	5	2	no	—
1098	C₂²⋊C₄	—	5	2	no	—
1099	C₂²⋊C₄	—	5	2	no	—
1100	C₂²⋊C₄	—	5	2	no	—
1101	C₂²⋊C₄	—	5	2	no	—
1102	C₂²⋊C₄	—	5	2	no	—
1103	C₂²⋊C₄	—	5	2	no	—
1104	C₂²⋊C₄	—	5	2	no	—
1105	C₂²⋊C₄	—	5	2	no	—
1106	C₂²⋊C₄	—	5	2	no	—
1107	C₂²⋊C₄	—	5	2	no	—
1108	C₂²⋊C₄	—	5	2	no	—
1109	C₂²⋊C₄	—	5	2	no	—
1110	C₂²⋊C₄	—	5	2	no	—
1111	C₂²⋊C₄	—	5	2	no	—
1112	C₂²⋊C₄	—	5	2	no	—
1113	C₂²⋊C₄	—	5	2	no	—
1114	C₂²⋊C₄	—	5	2	no	—
1115	C₂²⋊C₄	—	5	2	no	—
1116	C₂²⋊C₄	—	5	2	no	—
1117	C₂²⋊C₄	—	5	2	no	—
1118	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1119	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1120	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1121	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1122	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1123	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1124	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1125	C₄²	—	5	2	no	—
1126	C₄²	—	5	2	no	—
1127	C₄²	—	5	2	no	—
1128	C₄²	C₂²×C₃×D₅	1	2	yes	complemented
1129	C₃×C₅	C₂×#538	1	1	yes	characteristic, complemented, Hall
1130	C₂²×C₃	—	2	1	no	—
1131	C₂²×C₃	—	2	1	no	—
1132	C₂²×C₃	—	2	2	no	—
1133	C₂²×C₃	—	2	2	no	—
1134	C₂²×C₃	—	2	2	no	—
1135	C₂²×C₃	—	2	2	no	—
1136	C₂²×C₃	—	2	2	no	—
1137	C₂²×C₃	—	2	2	no	—
1138	C₂²×C₃	—	4	4	no	—
1139	C₂²×C₃	—	5	2	no	—
1140	C₂²×C₃	—	5	2	no	—
1141	C₂²×C₃	—	5	2	no	—
1142	C₂²×C₃	—	5	2	no	—
1143	C₂²×C₃	—	10	8	no	—
1144	C₂²×C₃	—	10	1	no	—
1145	C₂²×C₃	—	10	1	no	—
1146	C₂²×C₃	—	10	2	no	—
1147	C₂²×C₃	—	10	2	no	—
1148	C₂²×C₃	—	10	2	no	—
1149	C₂²×C₃	—	10	2	no	—
1150	C₂²×C₃	—	10	2	no	—
1151	C₂²×C₃	—	10	2	no	—
1152	C₂²×C₃	—	20	4	no	—
1153	C₂²×C₃	—	20	8	no	—
1154	C₂²×C₃	—	20	8	no	—
1155	C₂²×C₃	—	20	8	no	—
1156	C₂²×C₃	D₅×#41	1	2	yes	—
1157	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1158	C₃×C₄	—	2	2	no	—
1159	C₃×C₄	—	2	2	no	—
1160	C₃×C₄	—	2	1	no	—
1161	C₃×C₄	—	2	2	no	—
1162	C₃×C₄	—	2	1	no	—
1163	C₃×C₄	—	2	2	no	—
1164	C₃×C₄	—	10	2	no	—
1165	C₃×C₄	—	10	2	no	—
1166	C₃×C₄	—	10	2	no	—
1167	C₃×C₄	—	10	1	no	—
1168	C₃×C₄	—	10	1	no	—
1169	C₃×C₄	—	10	2	no	—
1170	C₂×C₅	—	2	2	no	—
1171	C₂×C₅	—	4	2	no	—
1172	C₂×C₅	—	4	2	no	—
1173	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1174	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1175	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1176	D₅	—	2	2	no	—
1177	D₅	—	4	2	no	—
1178	D₅	—	4	2	no	—
1179	D₅	C₃×#538	1	4	yes	direct product factor
1180	C₂³	—	2	2	no	—
1181	C₂³	—	4	1	no	—
1182	C₂³	—	4	1	no	—
1183	C₂³	—	5	1	no	—
1184	C₂³	—	5	4	no	—
1185	C₂³	—	5	1	no	—
1186	C₂³	—	5	2	no	—
1187	C₂³	—	5	2	no	—
1188	C₂³	—	10	2	no	—
1189	C₂³	—	10	2	no	—
1190	C₂³	—	10	4	no	—
1191	C₂³	—	10	4	no	—
1192	C₂³	—	10	4	no	—
1193	C₂³	—	10	4	no	—
1194	C₂³	—	10	4	no	—
1195	C₂³	—	10	4	no	—
1196	C₂³	—	10	4	no	—
1197	C₂³	—	10	2	no	—
1198	C₂³	—	20	1	no	—
1199	C₂³	—	20	1	no	—
1200	C₂³	—	20	2	no	—
1201	C₂³	—	20	2	no	—
1202	C₂³	—	20	16	no	—
1203	C₂³	C₂³×C₃×D₅	1	2	yes	—
1204	C₂³	C₂³×C₃×D₅	1	2	yes	—
1205	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1206	Q₈	—	4	1	no	—
1207	Q₈	—	20	1	no	—
1208	Q₈	—	20	2	no	—
1209	D₄	—	2	4	no	—
1210	D₄	—	4	2	no	—
1211	D₄	—	4	2	no	—
1212	D₄	—	4	1	no	—
1213	D₄	—	10	4	no	—
1214	D₄	—	10	4	no	—
1215	D₄	—	10	4	no	—
1216	D₄	—	20	2	no	—
1217	D₄	—	20	1	no	—
1218	D₄	—	20	2	no	—
1219	D₄	—	20	2	no	—
1220	D₄	—	20	2	no	—
1221	D₄	—	20	2	no	—
1222	D₄	—	20	2	no	—
1223	D₄	—	20	2	no	—
1224	C₂×C₄	—	4	1	no	—
1225	C₂×C₄	—	4	1	no	—
1226	C₂×C₄	—	4	2	no	—
1227	C₂×C₄	—	5	2	no	—
1228	C₂×C₄	—	5	2	no	—
1229	C₂×C₄	—	5	2	no	—
1230	C₂×C₄	—	5	1	no	—
1231	C₂×C₄	—	5	1	no	—
1232	C₂×C₄	—	5	2	no	—
1233	C₂×C₄	—	10	4	no	—
1234	C₂×C₄	—	10	2	no	—
1235	C₂×C₄	—	10	4	no	—
1236	C₂×C₄	—	10	2	no	—
1237	C₂×C₄	—	10	4	no	—
1238	C₂×C₄	—	10	4	no	—
1239	C₂×C₄	—	20	2	no	—
1240	C₂×C₄	—	20	2	no	—
1241	C₂×C₄	—	20	2	no	—
1242	C₂×C₄	—	20	1	no	—
1243	C₂×C₄	—	20	1	no	—
1244	C₂×C₄	—	20	1	no	—
1245	C₂×C₄	—	20	2	no	—
1246	C₂×C₄	—	20	1	no	—
1247	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1248	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1249	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1250	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1251	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1252	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1253	C₂×C₃	—	2	2	no	—
1254	C₂×C₃	—	4	2	no	—
1255	C₂×C₃	—	4	2	no	—
1256	C₂×C₃	—	5	4	no	—
1257	C₂×C₃	—	10	2	no	—
1258	C₂×C₃	—	20	2	no	—
1259	C₂×C₃	—	20	2	no	—
1260	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1261	C₂×C₃	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1262	C₂×C₃	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1263	C₅	C₂×C₃×#538	1	1	yes	characteristic, complemented, Sylow
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	2	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	2	no	—
1269	C₂²	—	2	2	no	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	2	2	no	—
1272	C₂²	—	4	4	no	—
1273	C₂²	—	5	2	no	—
1274	C₂²	—	5	2	no	—
1275	C₂²	—	5	2	no	—
1276	C₂²	—	5	2	no	—
1277	C₂²	—	10	8	no	—
1278	C₂²	—	10	1	no	—
1279	C₂²	—	10	1	no	—
1280	C₂²	—	10	2	no	—
1281	C₂²	—	10	2	no	—
1282	C₂²	—	10	2	no	—
1283	C₂²	—	10	2	no	—
1284	C₂²	—	10	2	no	—
1285	C₂²	—	10	2	no	—
1286	C₂²	—	20	4	no	—
1287	C₂²	—	20	8	no	—
1288	C₂²	—	20	8	no	—
1289	C₂²	—	20	8	no	—
1290	C₂²	C₃×D₅×#41	1	2	yes	—
1291	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	1	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	1	no	—
1297	C₄	—	2	2	no	—
1298	C₄	—	10	2	no	—
1299	C₄	—	10	2	no	—
1300	C₄	—	10	2	no	—
1301	C₄	—	10	1	no	—
1302	C₄	—	10	1	no	—
1303	C₄	—	10	2	no	—
1304	C₃	D₅×#538	1	1	yes	characteristic, direct product factor, Sylow
1305	C₂	—	2	2	no	—
1306	C₂	—	4	2	no	—
1307	C₂	—	4	2	no	—
1308	C₂	—	5	4	no	—
1309	C₂	—	10	2	no	—
1310	C₂	—	20	2	no	—
1311	C₂	—	20	2	no	—
1312	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1313	C₂	C₃×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1314	C₂	C₃×D₅×H(5,𝔽₂)	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×#538	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#538	D₅
hypocenter	C₅	C₂×C₃×#538
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#538

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#538	C₂	semidirect
2. C₃×#66038	C₂	semidirect
3. C₃×D₅×#126	C₂	semidirect
4. C₃×#66012	C₂	semidirect
5. C₃×D₅×#124	C₂	semidirect
6. C₃×#65991	C₂	semidirect
7. C₃×D₅×#123	C₂	semidirect
8. C₃×#65978	C₂	semidirect
9. C₃×D₅×C₂²⋊Q₈	C₂	semidirect
10. C₃×#65951	C₂	semidirect
11. C₃×#65947	C₂	semidirect
12. C₃×D₅×#121	C₂	semidirect
13. C₃×D₅×#121	C₂	semidirect
14. C₃×#65927	C₂	semidirect
15. C₃×D₅×#120	C₂	semidirect
16. C₃×#65894	C₂	semidirect
17. C₃×C₄×D₄×D₅	C₂	semidirect
18. C₃×#65828	C₂	semidirect
19. C₂×C₃×D₅×C₂²⋊C₄	C₂	semidirect
20. D₅×#538	C₃	direct (N × H)
22. C₂×C₃×Q₈×D₅	C₂²	semidirect
26. C₂×C₃×D₄×D₅	C₂²	semidirect
29. C₂²×C₃×C₄×D₅	C₂²	semidirect
30. C₃×C₅×#126	C₂²	semidirect
31. C₃×C₅×#124	C₂²	semidirect
32. C₃×C₅×#123	C₂²	semidirect
33. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
34. C₃×C₅×#121	C₂²	semidirect
35. C₃×C₅×#121	C₂²	semidirect
36. C₃×C₅×#120	C₂²	semidirect
37. C₃×C₄×C₅×D₄	C₂²	semidirect
38. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
39. C₃×#4099	C₂²	semidirect
40. C₂×C₃×C₂²⋊Dic₅	C₂²	semidirect
41. C₃×#4093	C₂²	semidirect
42. C₃×#4092	C₂²	semidirect
43. C₃×#4085	C₂²	semidirect
44. C₃×#4085	C₂²	semidirect
45. C₃×#4085	C₂²	semidirect
46. C₃×#4084	C₂²	semidirect
47. C₃×#4084	C₂²	semidirect
48. C₃×#4083	C₂²	semidirect
49. C₃×#4083	C₂²	semidirect
50. C₃×#4083	C₂²	semidirect
51. C₃×#4082	C₂²	semidirect
52. C₃×#4081	C₂²	semidirect
53. C₃×D₄×Dic₅	C₂²	semidirect
54. C₃×#4076	C₂²	semidirect
55. C₃×#4076	C₂²	semidirect
56. C₃×#4075	C₂²	semidirect
57. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
58. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
59. C₂×C₃×#685	C₂²	semidirect
60. C₂×C₃×#685	C₂²	semidirect
61. C₃×#4070	C₂²	semidirect
62. C₃×#4044	C₂²	semidirect
63. C₃×#4044	C₂²	semidirect
64. C₃×#4044	C₂²	semidirect
65. C₃×#4043	C₂²	semidirect
66. C₃×#4042	C₂²	semidirect
67. C₃×#4041	C₂²	semidirect
68. C₃×#4041	C₂²	semidirect
69. C₃×#4040	C₂²	semidirect
70. C₃×#4040	C₂²	semidirect
71. C₃×#4039	C₂²	semidirect
72. C₃×D₅×C₄⋊C₄	C₂²	semidirect
73. C₃×D₅×C₄⋊C₄	C₂²	semidirect
74. C₃×D₅×C₄⋊C₄	C₂²	semidirect
75. C₃×D₅×C₄⋊C₄	C₂²	semidirect
76. C₃×#4032	C₂²	semidirect
77. C₃×#4031	C₂²	semidirect
78. C₃×#4031	C₂²	semidirect
79. C₃×#4031	C₂²	semidirect
80. C₃×#4031	C₂²	semidirect
81. C₃×#4030	C₂²	semidirect
82. C₃×#4030	C₂²	semidirect
83. C₃×#4030	C₂²	semidirect
84. C₃×#4029	C₂²	semidirect
85. C₃×#4029	C₂²	semidirect
86. C₃×#4028	C₂²	semidirect
87. C₃×#4028	C₂²	semidirect
88. C₃×#4028	C₂²	semidirect
89. C₃×#4027	C₂²	semidirect
90. C₃×#4027	C₂²	semidirect
96. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
97. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
98. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
99. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
100. C₃×#4025	C₂²	semidirect
101. C₃×#4025	C₂²	semidirect
102. C₃×#4025	C₂²	semidirect
103. C₃×#4024	C₂²	semidirect
104. C₃×#4022	C₂²	semidirect
105. C₃×#4021	C₂²	semidirect
106. C₃×C₄×D₂₀	C₂²	semidirect
107. C₃×C₄²×D₅	C₂²	semidirect
109. C₅×#538	C₂×C₃	semidirect
110. #66038	C₂×C₃	semidirect
111. D₅×#126	C₂×C₃	semidirect
112. #66012	C₂×C₃	semidirect
113. D₅×#124	C₂×C₃	semidirect
114. #65991	C₂×C₃	semidirect
115. D₅×#123	C₂×C₃	semidirect
116. #65978	C₂×C₃	semidirect
117. D₅×C₂²⋊Q₈	C₂×C₃	semidirect
118. #65951	C₂×C₃	semidirect
119. #65947	C₂×C₃	semidirect
120. D₅×#121	C₂×C₃	semidirect
121. D₅×#121	C₂×C₃	semidirect
122. #65927	C₂×C₃	semidirect
123. D₅×#120	C₂×C₃	semidirect
124. #65894	C₂×C₃	semidirect
125. C₄×D₄×D₅	C₂×C₃	semidirect
126. #65828	C₂×C₃	semidirect
127. C₂×D₅×C₂²⋊C₄	C₂×C₃	semidirect
137. C₂×C₃×C₅×Q₈	C₂³	semidirect
141. C₂×C₃×C₅×D₄	C₂³	semidirect
144. C₂²×C₃×C₄×C₅	C₂³	semidirect
151. C₂×C₃×C₂²⋊D₅	C₂³	semidirect
154. C₂²×C₃×Dic₅	C₂³	semidirect
163. C₂×C₃×D₂₀	C₂³	semidirect
176. C₂×C₃×C₄×D₅	C₂³	semidirect
177. C₂×C₃×C₄×D₅	C₂³	semidirect
178. C₂×C₃×Dic₁₀	C₂³	semidirect
179. C₂×C₃×Dic₁₀	C₂³	semidirect
180. C₃×C₅×C₄⋊C₄	C₂³	semidirect
181. C₃×C₅×C₄⋊C₄	C₂³	semidirect
182. C₃×C₅×C₄⋊C₄	C₂³	semidirect
183. C₃×C₅×C₄⋊C₄	C₂³	semidirect
189. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
190. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
191. C₃×C₄²×C₅	C₂³	semidirect
197. C₃×C₂²⋊Dic₅	C₂³	semidirect
198. C₃×C₂²⋊Dic₅	C₂³	semidirect
209. C₃×#685	C₂³	semidirect
210. C₃×#685	C₂³	semidirect
211. C₃×#685	C₂³	semidirect
212. C₃×#685	C₂³	semidirect
213. C₃×C₄⋊Dic₅	C₂³	semidirect
214. C₃×C₄⋊Dic₅	C₂³	semidirect
215. C₃×C₄⋊Dic₅	C₂³	semidirect
216. C₃×C₄⋊Dic₅	C₂³	semidirect
217. C₃×#683	C₂³	semidirect
218. C₃×#683	C₂³	semidirect
219. C₃×#683	C₂³	semidirect
220. C₃×#683	C₂³	semidirect
221. C₃×#683	C₂³	semidirect
222. C₃×#683	C₂³	semidirect
223. C₃×C₄×Dic₅	C₂³	semidirect
224. C₃×C₄×Dic₅	C₂³	semidirect
225. C₃×C₄×Dic₅	C₂³	semidirect
235. C₃×#538	D₅	direct (N × H)
246. C₂×Q₈×D₅	C₂²×C₃	semidirect
250. C₂×D₄×D₅	C₂²×C₃	semidirect
253. C₂²×C₄×D₅	C₂²×C₃	semidirect
254. C₅×#126	C₂²×C₃	semidirect
255. C₅×#124	C₂²×C₃	semidirect
256. C₅×#123	C₂²×C₃	semidirect
257. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
258. C₅×#121	C₂²×C₃	semidirect
259. C₅×#121	C₂²×C₃	semidirect
260. C₅×#120	C₂²×C₃	semidirect
261. C₄×C₅×D₄	C₂²×C₃	semidirect
262. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
263. #4099	C₂²×C₃	semidirect
264. C₂×C₂²⋊Dic₅	C₂²×C₃	semidirect
265. #4093	C₂²×C₃	semidirect
266. #4092	C₂²×C₃	semidirect
267. #4085	C₂²×C₃	semidirect
268. #4085	C₂²×C₃	semidirect
269. #4085	C₂²×C₃	semidirect
270. #4084	C₂²×C₃	semidirect
271. #4084	C₂²×C₃	semidirect
272. #4083	C₂²×C₃	semidirect
273. #4083	C₂²×C₃	semidirect
274. #4083	C₂²×C₃	semidirect
275. #4082	C₂²×C₃	semidirect
276. #4081	C₂²×C₃	semidirect
277. D₄×Dic₅	C₂²×C₃	semidirect
278. #4076	C₂²×C₃	semidirect
279. #4076	C₂²×C₃	semidirect
280. #4075	C₂²×C₃	semidirect
281. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
282. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
283. C₂×#685	C₂²×C₃	semidirect
284. C₂×#685	C₂²×C₃	semidirect
285. #4070	C₂²×C₃	semidirect
286. #4044	C₂²×C₃	semidirect
287. #4044	C₂²×C₃	semidirect
288. #4044	C₂²×C₃	semidirect
289. #4043	C₂²×C₃	semidirect
290. #4042	C₂²×C₃	semidirect
291. #4041	C₂²×C₃	semidirect
292. #4041	C₂²×C₃	semidirect
293. #4040	C₂²×C₃	semidirect
294. #4040	C₂²×C₃	semidirect
295. #4039	C₂²×C₃	semidirect
296. D₅×C₄⋊C₄	C₂²×C₃	semidirect
297. D₅×C₄⋊C₄	C₂²×C₃	semidirect
298. D₅×C₄⋊C₄	C₂²×C₃	semidirect
299. D₅×C₄⋊C₄	C₂²×C₃	semidirect
300. #4032	C₂²×C₃	semidirect
301. #4031	C₂²×C₃	semidirect
302. #4031	C₂²×C₃	semidirect
303. #4031	C₂²×C₃	semidirect
304. #4031	C₂²×C₃	semidirect
305. #4030	C₂²×C₃	semidirect
306. #4030	C₂²×C₃	semidirect
307. #4030	C₂²×C₃	semidirect
308. #4029	C₂²×C₃	semidirect
309. #4029	C₂²×C₃	semidirect
310. #4028	C₂²×C₃	semidirect
311. #4028	C₂²×C₃	semidirect
312. #4028	C₂²×C₃	semidirect
313. #4027	C₂²×C₃	semidirect
314. #4027	C₂²×C₃	semidirect
320. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
321. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
322. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
323. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
324. #4025	C₂²×C₃	semidirect
325. #4025	C₂²×C₃	semidirect
326. #4025	C₂²×C₃	semidirect
327. #4024	C₂²×C₃	semidirect
328. #4022	C₂²×C₃	semidirect
329. #4021	C₂²×C₃	semidirect
330. C₄×D₂₀	C₂²×C₃	semidirect
331. C₄²×D₅	C₂²×C₃	semidirect
422. C₃×#126	C₂×D₅	semidirect
430. C₃×#124	C₂×D₅	semidirect
438. C₃×#123	C₂×D₅	semidirect
444. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
457. C₃×#121	C₂×D₅	semidirect
458. C₃×#121	C₂×D₅	semidirect
466. C₃×#120	C₂×D₅	semidirect
474. C₃×C₄×D₄	C₂×D₅	semidirect
491. C₂×C₃×C₂²⋊C₄	C₂×D₅	semidirect
502. C₂×C₅×Q₈	C₂³×C₃	semidirect
506. C₂×C₅×D₄	C₂³×C₃	semidirect
509. C₂²×C₄×C₅	C₂³×C₃	semidirect
516. C₂×C₂²⋊D₅	C₂³×C₃	semidirect
519. C₂²×Dic₅	C₂³×C₃	semidirect
528. C₂×D₂₀	C₂³×C₃	semidirect
541. C₂×C₄×D₅	C₂³×C₃	semidirect
542. C₂×C₄×D₅	C₂³×C₃	semidirect
543. C₂×Dic₁₀	C₂³×C₃	semidirect
544. C₂×Dic₁₀	C₂³×C₃	semidirect
545. C₅×C₄⋊C₄	C₂³×C₃	semidirect
546. C₅×C₄⋊C₄	C₂³×C₃	semidirect
547. C₅×C₄⋊C₄	C₂³×C₃	semidirect
548. C₅×C₄⋊C₄	C₂³×C₃	semidirect
554. C₅×C₂²⋊C₄	C₂³×C₃	semidirect
555. C₅×C₂²⋊C₄	C₂³×C₃	semidirect
556. C₄²×C₅	C₂³×C₃	semidirect
562. C₂²⋊Dic₅	C₂³×C₃	semidirect
563. C₂²⋊Dic₅	C₂³×C₃	semidirect
574. #685	C₂³×C₃	semidirect
575. #685	C₂³×C₃	semidirect
576. #685	C₂³×C₃	semidirect
577. #685	C₂³×C₃	semidirect
578. C₄⋊Dic₅	C₂³×C₃	semidirect
579. C₄⋊Dic₅	C₂³×C₃	semidirect
580. C₄⋊Dic₅	C₂³×C₃	semidirect
581. C₄⋊Dic₅	C₂³×C₃	semidirect
582. #683	C₂³×C₃	semidirect
583. #683	C₂³×C₃	semidirect
584. #683	C₂³×C₃	semidirect
585. #683	C₂³×C₃	semidirect
586. #683	C₂³×C₃	semidirect
587. #683	C₂³×C₃	semidirect
588. C₄×Dic₅	C₂³×C₃	semidirect
589. C₄×Dic₅	C₂³×C₃	semidirect
590. C₄×Dic₅	C₂³×C₃	semidirect
600. #538	C₃×D₅	direct (N × H)
662. C₂×C₃×Q₈	C₂²×D₅	semidirect
681. C₂×C₃×D₄	C₂²×D₅	semidirect
701. C₂²×C₃×C₄	C₂²×D₅	semidirect
712. C₃×C₄⋊C₄	C₂²×D₅	semidirect
713. C₃×C₄⋊C₄	C₂²×D₅	semidirect
714. C₃×C₄⋊C₄	C₂²×D₅	semidirect
715. C₃×C₄⋊C₄	C₂²×D₅	semidirect
742. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
743. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
747. C₃×C₄²	C₂²×D₅	semidirect
837. #126	C₂×C₃×D₅	semidirect
845. #124	C₂×C₃×D₅	semidirect
853. #123	C₂×C₃×D₅	semidirect
859. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
872. #121	C₂×C₃×D₅	semidirect
873. #121	C₂×C₃×D₅	semidirect
881. #120	C₂×C₃×D₅	semidirect
889. C₄×D₄	C₂×C₃×D₅	semidirect
906. C₂×C₂²⋊C₄	C₂×C₃×D₅	semidirect
917. C₃×D₅	#538	direct (N × H)
1043. C₂×Q₈	C₂²×C₃×D₅	semidirect
1062. C₂×D₄	C₂²×C₃×D₅	semidirect
1082. C₂²×C₄	C₂²×C₃×D₅	semidirect
1093. C₄⋊C₄	C₂²×C₃×D₅	semidirect
1094. C₄⋊C₄	C₂²×C₃×D₅	semidirect
1095. C₄⋊C₄	C₂²×C₃×D₅	semidirect
1096. C₄⋊C₄	C₂²×C₃×D₅	semidirect
1123. C₂²⋊C₄	C₂²×C₃×D₅	semidirect
1124. C₂²⋊C₄	C₂²×C₃×D₅	semidirect
1128. C₄²	C₂²×C₃×D₅	semidirect
1129. C₃×C₅	C₂×#538	semidirect
1179. D₅	C₃×#538	direct (N × H)
1263. C₅	C₂×C₃×#538	semidirect
1304. C₃	D₅×#538	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×C₅×#538	2
C₃×#66038	2
C₃×D₅×#126	2
C₃×#66012	2
C₃×D₅×#124	2
C₃×#65991	2
C₃×D₅×#123	2
C₃×#65978	2
C₃×D₅×C₂²⋊Q₈	2
C₃×#65951	2
C₃×#65947	2
C₃×D₅×#121	2
C₃×#65927	2
C₃×D₅×#120	2
C₃×#65894	2
C₃×C₄×D₄×D₅	2
C₃×#65828	2
C₂×C₃×D₅×C₂²⋊C₄	2
D₅×#538	3
C₂×C₃×#538	5

Subgroups — C3×D5×#538 #14480747

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₅×#538 #14480747