Subgroups — C₃×D₅×#529 #14479764

Order 1920.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#66040	C₂	1	2	yes	maximal, complemented
3	C₃×D₅×#126	C₂	1	2	yes	maximal, complemented
4	C₃×#66025	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×D₅×#125	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#66014	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×D₅×#123	C₂	1	2	yes	maximal, complemented
9	C₃×#65983	C₂	1	2	yes	maximal, complemented
10	C₃×D₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#65958	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×D₅×#121	C₂	1	1	yes	maximal, characteristic
13	C₃×#65934	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#65914	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₄×Q₈×D₅	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#65891	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₄×D₄×D₅	C₂	1	2	yes	maximal, complemented
18	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#65872	C₂	1	2	yes	maximal, complemented
20	C₃×#65862	C₂	1	2	yes	maximal, complemented
21	C₃×D₅×#117	C₂	1	2	yes	maximal, complemented
22	C₃×#65813	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×C₄²×D₅	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#529	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₂×C₃×Q₈×D₅	C₂²	1	1	yes	characteristic
26	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
27	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
28	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	—
29	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
30	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
31	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
32	C₃×C₅×#126	C₂²	1	2	yes	complemented
33	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#123	C₂²	1	2	yes	complemented
36	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₃×C₅×#121	C₂²	1	1	yes	characteristic
38	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₃×C₅×#117	C₂²	1	2	yes	complemented
42	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
43	C₃×#4093	C₂²	1	1	yes	characteristic, complemented
44	C₃×#4092	C₂²	1	1	yes	characteristic, complemented
45	C₃×Q₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
46	C₃×#4085	C₂²	1	2	yes	—
47	C₃×#4084	C₂²	1	1	yes	characteristic
48	C₃×#4082	C₂²	1	1	yes	characteristic, complemented
49	C₃×#4081	C₂²	1	2	yes	complemented
50	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
51	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
52	C₃×#4076	C₂²	1	1	yes	characteristic
53	C₃×#4075	C₂²	1	2	yes	complemented
54	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
55	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
56	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
57	C₃×#4072	C₂²	1	2	yes	complemented
58	C₃×#4070	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₃×C₄×Dic₅	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	1	yes	characteristic
68	C₃×#4040	C₂²	1	2	yes	complemented
69	C₃×#4040	C₂²	1	2	yes	complemented
70	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
71	C₃×#4039	C₂²	1	2	yes	complemented
72	C₃×#4038	C₂²	1	2	yes	complemented
73	C₃×#4038	C₂²	1	2	yes	complemented
74	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
75	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
76	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
77	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
78	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
79	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
80	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
81	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
82	C₃×#4035	C₂²	1	2	yes	complemented
83	C₃×#4035	C₂²	1	2	yes	complemented
84	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
85	C₃×#4033	C₂²	1	2	yes	complemented
86	C₃×#4032	C₂²	1	2	yes	complemented
87	C₃×#4031	C₂²	1	2	yes	complemented
88	C₃×#4031	C₂²	1	2	yes	complemented
89	C₃×#4030	C₂²	1	2	yes	—
90	C₃×#4029	C₂²	1	2	yes	complemented
91	C₃×#4029	C₂²	1	2	yes	complemented
92	C₃×#4027	C₂²	1	2	yes	complemented
93	C₃×#4027	C₂²	1	2	yes	complemented
94	C₃×#4027	C₂²	1	2	yes	complemented
95	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
96	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
97	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
98	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
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×#4023	C₂²	1	2	yes	complemented
105	C₃×#4023	C₂²	1	2	yes	complemented
106	C₃×#4022	C₂²	1	2	yes	complemented
107	C₃×#4021	C₂²	1	1	yes	characteristic, complemented
108	C₃×C₄×D₂₀	C₂²	1	2	yes	complemented
109	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
110	C₃×#4018	C₂²	1	2	yes	complemented
111	C₃×#4018	C₂²	1	2	yes	complemented
112	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
113	C₃×C₄²×D₅	C₂²	1	2	yes	—
114	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
115	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
116	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
117	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
118	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
119	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
120	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
121	C₃×#4016	C₂²	1	1	yes	characteristic, complemented
122	C₃×C₄×Dic₁₀	C₂²	1	2	yes	complemented
123	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₃×#529	—	5	1	no	maximal, Hall
125	C₅×#529	C₂×C₃	1	1	yes	characteristic, complemented
126	#66040	C₂×C₃	1	2	yes	complemented
127	D₅×#126	C₂×C₃	1	2	yes	complemented
128	#66025	C₂×C₃	1	1	yes	characteristic, complemented
129	D₅×#125	C₂×C₃	1	1	yes	characteristic, complemented
130	#66014	C₂×C₃	1	1	yes	characteristic, complemented
131	D₅×#124	C₂×C₃	1	1	yes	characteristic, complemented
132	D₅×#123	C₂×C₃	1	2	yes	complemented
133	#65983	C₂×C₃	1	2	yes	complemented
134	D₅×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
135	#65958	C₂×C₃	1	1	yes	characteristic, complemented
136	D₅×#121	C₂×C₃	1	1	yes	characteristic
137	#65934	C₂×C₃	1	1	yes	characteristic, complemented
138	#65914	C₂×C₃	1	1	yes	characteristic, complemented
139	C₄×Q₈×D₅	C₂×C₃	1	1	yes	characteristic, complemented
140	#65891	C₂×C₃	1	1	yes	characteristic, complemented
141	C₄×D₄×D₅	C₂×C₃	1	2	yes	complemented
142	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
143	#65872	C₂×C₃	1	2	yes	complemented
144	#65862	C₂×C₃	1	2	yes	complemented
145	D₅×#117	C₂×C₃	1	2	yes	complemented
146	#65813	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂×C₄²×D₅	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂³×C₃×D₅	C₂³	1	2	yes	—
149	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
150	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
151	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
152	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
154	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
155	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
156	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
157	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
158	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
159	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
160	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
161	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
162	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
163	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
164	C₃×Q₈×D₅	—	2	4	no	—
165	C₃×D₄×D₅	—	2	8	no	—
166	C₃×D₄×D₅	—	2	4	no	—
167	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
168	C₂×C₃×D₂₀	C₂³	1	2	yes	—
169	C₂×C₃×C₄×D₅	—	2	4	no	—
170	C₂×C₃×C₄×D₅	—	2	4	no	—
171	C₂×C₃×C₄×D₅	—	2	8	no	—
172	C₂×C₃×C₄×D₅	—	2	4	no	—
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	1	yes	characteristic
176	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
177	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
178	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
179	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
180	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
181	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
182	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
183	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
184	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
185	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
186	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
187	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
188	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
189	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
191	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
192	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
193	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
194	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
196	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
198	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
204	C₃×C₄²×C₅	C₂³	1	2	yes	—
205	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
206	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
207	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
208	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
209	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
210	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
211	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
212	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
213	C₃×#685	C₂³	1	2	yes	—
214	C₃×#685	C₂³	1	2	yes	—
215	C₃×#685	C₂³	1	2	yes	—
216	C₃×#685	C₂³	1	2	yes	—
217	C₃×#685	C₂³	1	2	yes	—
218	C₃×#685	C₂³	1	2	yes	—
219	C₃×#685	C₂³	1	2	yes	—
220	C₃×#685	C₂³	1	2	yes	—
221	C₃×#685	C₂³	1	2	yes	—
222	C₃×#685	C₂³	1	2	yes	—
223	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
224	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
225	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
227	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
228	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
229	C₃×#683	C₂³	1	2	yes	—
230	C₃×#683	C₂³	1	2	yes	—
231	C₃×#683	C₂³	1	2	yes	—
232	C₃×#683	C₂³	1	2	yes	—
233	C₃×#683	C₂³	1	2	yes	—
234	C₃×#683	C₂³	1	2	yes	—
235	C₃×#683	C₂³	1	2	yes	—
236	C₃×#683	C₂³	1	2	yes	—
237	C₃×#683	C₂³	1	2	yes	—
238	C₃×#683	C₂³	1	2	yes	—
239	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
240	C₃×C₄×Dic₅	C₂³	1	2	yes	—
241	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
242	C₃×C₄×Dic₅	C₂³	1	2	yes	—
243	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
244	C₃×C₄×Dic₅	C₂³	1	2	yes	—
245	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
246	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
247	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
248	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
249	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
250	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
251	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
252	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
253	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
254	C₃×#529	—	5	2	no	—
255	C₃×#529	—	5	1	no	—
256	C₃×#529	—	5	1	no	—
257	C₃×#529	—	5	2	no	—
258	C₃×#529	—	5	1	no	—
259	C₃×#529	—	5	1	no	—
260	C₃×#529	—	5	1	no	—
261	C₃×#529	—	5	2	no	—
262	C₃×#529	—	5	1	no	—
263	C₃×#529	—	5	2	no	—
264	C₃×#529	—	5	1	no	—
265	C₃×#529	D₅	1	1	yes	characteristic, direct product factor
266	C₂×C₃×#126	—	5	2	no	—
267	C₂×C₃×#125	—	5	1	no	—
268	C₂×C₃×#124	—	5	1	no	—
269	C₂×C₃×#123	—	5	2	no	—
270	C₂×C₃×C₂²⋊Q₈	—	5	1	no	—
271	C₂×C₃×#121	—	5	1	no	—
272	C₂×C₃×C₄×Q₈	—	5	1	no	—
273	C₂×C₃×C₄×D₄	—	5	1	no	—
274	C₂×C₃×C₄×D₄	—	5	2	no	—
275	C₂×C₃×#117	—	5	2	no	—
276	C₂²×C₃×C₄²	—	5	1	no	—
277	C₂×Q₈×D₅	C₂²×C₃	1	1	yes	characteristic
278	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
279	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
280	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
281	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
282	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
283	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	—
284	C₅×#126	C₂²×C₃	1	2	yes	complemented
285	C₅×#125	C₂²×C₃	1	1	yes	characteristic, complemented
286	C₅×#124	C₂²×C₃	1	1	yes	characteristic, complemented
287	C₅×#123	C₂²×C₃	1	2	yes	complemented
288	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
289	C₅×#121	C₂²×C₃	1	1	yes	characteristic
290	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
291	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
292	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
293	C₅×#117	C₂²×C₃	1	2	yes	complemented
294	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
295	#4093	C₂²×C₃	1	1	yes	characteristic, complemented
296	#4092	C₂²×C₃	1	1	yes	characteristic, complemented
297	Q₈×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
298	#4085	C₂²×C₃	1	2	yes	—
299	#4084	C₂²×C₃	1	1	yes	characteristic
300	#4082	C₂²×C₃	1	1	yes	characteristic, complemented
301	#4081	C₂²×C₃	1	2	yes	complemented
302	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
303	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
304	#4076	C₂²×C₃	1	1	yes	characteristic
305	#4075	C₂²×C₃	1	2	yes	complemented
306	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
307	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
308	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
309	#4072	C₂²×C₃	1	2	yes	complemented
310	#4070	C₂²×C₃	1	1	yes	characteristic, complemented
311	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
312	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
313	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
314	#4044	C₂²×C₃	1	2	yes	complemented
315	#4044	C₂²×C₃	1	2	yes	complemented
316	#4044	C₂²×C₃	1	2	yes	complemented
317	#4043	C₂²×C₃	1	1	yes	characteristic, complemented
318	#4042	C₂²×C₃	1	2	yes	complemented
319	#4041	C₂²×C₃	1	1	yes	characteristic
320	#4040	C₂²×C₃	1	2	yes	complemented
321	#4040	C₂²×C₃	1	2	yes	complemented
322	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
323	#4039	C₂²×C₃	1	2	yes	complemented
324	#4038	C₂²×C₃	1	2	yes	complemented
325	#4038	C₂²×C₃	1	2	yes	complemented
326	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
327	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
328	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
329	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
330	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
331	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
332	#4036	C₂²×C₃	1	1	yes	characteristic, complemented
333	#4036	C₂²×C₃	1	1	yes	characteristic, complemented
334	#4035	C₂²×C₃	1	2	yes	complemented
335	#4035	C₂²×C₃	1	2	yes	complemented
336	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
337	#4033	C₂²×C₃	1	2	yes	complemented
338	#4032	C₂²×C₃	1	2	yes	complemented
339	#4031	C₂²×C₃	1	2	yes	complemented
340	#4031	C₂²×C₃	1	2	yes	complemented
341	#4030	C₂²×C₃	1	2	yes	—
342	#4029	C₂²×C₃	1	2	yes	complemented
343	#4029	C₂²×C₃	1	2	yes	complemented
344	#4027	C₂²×C₃	1	2	yes	complemented
345	#4027	C₂²×C₃	1	2	yes	complemented
346	#4027	C₂²×C₃	1	2	yes	complemented
347	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
348	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
349	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
350	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
351	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
352	#4025	C₂²×C₃	1	2	yes	complemented
353	#4025	C₂²×C₃	1	2	yes	complemented
354	#4025	C₂²×C₃	1	2	yes	complemented
355	#4024	C₂²×C₃	1	2	yes	complemented
356	#4023	C₂²×C₃	1	2	yes	complemented
357	#4023	C₂²×C₃	1	2	yes	complemented
358	#4022	C₂²×C₃	1	2	yes	complemented
359	#4021	C₂²×C₃	1	1	yes	characteristic, complemented
360	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
361	C₄×D₂₀	C₂²×C₃	1	2	yes	complemented
362	#4018	C₂²×C₃	1	2	yes	complemented
363	#4018	C₂²×C₃	1	2	yes	complemented
364	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
365	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
366	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
367	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
368	C₄²×D₅	C₂²×C₃	1	2	yes	—
369	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
370	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
371	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
372	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
373	#4016	C₂²×C₃	1	1	yes	characteristic, complemented
374	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
375	C₄×Dic₁₀	C₂²×C₃	1	2	yes	complemented
376	C₂×#529	—	5	1	no	Sylow
377	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
378	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
379	C₂²×C₃×D₅	—	2	2	no	—
380	C₂²×C₃×D₅	—	2	2	no	—
381	C₂²×C₃×D₅	—	2	4	no	—
382	C₂²×C₃×D₅	—	2	4	no	—
383	C₂²×C₃×D₅	—	2	4	no	—
384	C₂²×C₃×D₅	#41	1	4	yes	—
385	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
386	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
387	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
388	C₃×C₅×Q₈	—	2	2	no	—
389	C₃×C₅×D₄	—	2	4	no	—
390	C₃×C₅×D₄	—	2	2	no	—
391	C₂×C₃×C₄×C₅	—	2	2	no	—
392	C₂×C₃×C₄×C₅	—	2	2	no	—
393	C₂×C₃×C₄×C₅	—	2	2	no	—
394	C₂×C₃×C₄×C₅	—	2	4	no	—
395	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
400	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
401	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
402	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₃×C₂²⋊D₅	—	2	4	no	—
405	C₃×C₂²⋊D₅	—	2	4	no	—
406	C₃×C₂²⋊D₅	—	2	4	no	—
407	C₂×C₃×Dic₅	—	2	2	no	—
408	C₂×C₃×Dic₅	—	2	2	no	—
409	C₂×C₃×Dic₅	—	2	2	no	—
410	C₂×C₃×Dic₅	—	2	4	no	—
411	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
412	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
413	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
414	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
416	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
417	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
418	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
419	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₃×D₂₀	—	2	4	no	—
421	C₃×D₂₀	—	2	2	no	—
422	C₃×C₄×D₅	—	2	2	no	—
423	C₃×C₄×D₅	—	2	2	no	—
424	C₃×C₄×D₅	—	2	2	no	—
425	C₃×C₄×D₅	—	2	2	no	—
426	C₃×C₄×D₅	—	2	2	no	—
427	C₃×C₄×D₅	—	2	2	no	—
428	C₃×C₄×D₅	—	2	4	no	—
429	C₃×C₄×D₅	—	2	4	no	—
430	C₃×C₄×D₅	—	2	4	no	—
431	C₃×C₄×D₅	—	2	2	no	—
432	C₃×C₄×D₅	—	2	2	no	—
433	C₃×C₄×D₅	—	2	4	no	—
434	C₃×C₄×D₅	—	2	2	no	—
435	C₃×C₄×D₅	—	2	2	no	—
436	C₃×C₄×D₅	—	2	4	no	—
437	C₃×C₄×D₅	#41	1	4	yes	—
438	C₃×C₄×D₅	#41	1	4	yes	—
439	C₃×Dic₁₀	—	2	2	no	—
440	C₃×Dic₁₀	—	2	4	no	—
441	C₂²×C₃×Q₈	—	5	1	no	—
442	C₂²×C₃×D₄	—	5	2	no	—
443	C₂²×C₃×D₄	—	5	1	no	—
444	C₂³×C₃×C₄	—	5	1	no	—
445	C₂³×C₃×C₄	—	5	1	no	—
446	C₂³×C₃×C₄	—	5	1	no	—
447	C₂³×C₃×C₄	—	5	2	no	—
448	C₃×#126	—	5	2	no	—
449	C₃×#126	—	5	2	no	—
450	C₃×#126	—	5	2	no	—
451	C₃×#126	—	5	2	no	—
452	C₃×#126	—	5	2	no	—
453	C₃×#126	—	5	2	no	—
454	C₃×#126	—	5	2	no	—
455	C₃×#126	C₂×D₅	1	2	yes	complemented
456	C₃×#125	—	5	2	no	—
457	C₃×#125	—	5	2	no	—
458	C₃×#125	—	5	1	no	—
459	C₃×#125	—	5	1	no	—
460	C₃×#125	—	5	1	no	—
461	C₃×#125	C₂×D₅	1	1	yes	characteristic, complemented
462	C₃×#124	—	5	1	no	—
463	C₃×#124	—	5	1	no	—
464	C₃×#124	—	5	2	no	—
465	C₃×#124	—	5	2	no	—
466	C₃×#124	—	5	1	no	—
467	C₃×#124	C₂×D₅	1	1	yes	characteristic, complemented
468	C₃×#123	—	5	2	no	—
469	C₃×#123	—	5	2	no	—
470	C₃×#123	—	5	2	no	—
471	C₃×#123	—	5	2	no	—
472	C₃×#123	—	5	2	no	—
473	C₃×#123	—	5	2	no	—
474	C₃×#123	—	5	2	no	—
475	C₃×#123	C₂×D₅	1	2	yes	complemented
476	C₃×C₂²⋊Q₈	—	5	1	no	—
477	C₃×C₂²⋊Q₈	—	5	1	no	—
478	C₃×C₂²⋊Q₈	—	5	2	no	—
479	C₃×C₂²⋊Q₈	—	5	1	no	—
480	C₃×C₂²⋊Q₈	—	5	2	no	—
481	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
482	C₃×#121	—	5	1	no	—
483	C₃×#121	—	5	2	no	—
484	C₃×#121	—	5	1	no	—
485	C₃×#121	—	5	1	no	—
486	C₃×#121	—	5	2	no	—
487	C₃×#121	C₂×D₅	1	1	yes	characteristic
488	C₃×C₄×Q₈	—	5	1	no	—
489	C₃×C₄×Q₈	—	5	2	no	—
490	C₃×C₄×Q₈	—	5	1	no	—
491	C₃×C₄×Q₈	—	5	2	no	—
492	C₃×C₄×Q₈	—	5	1	no	—
493	C₃×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
494	C₃×C₄×D₄	—	5	1	no	—
495	C₃×C₄×D₄	—	5	2	no	—
496	C₃×C₄×D₄	—	5	2	no	—
497	C₃×C₄×D₄	—	5	2	no	—
498	C₃×C₄×D₄	—	5	2	no	—
499	C₃×C₄×D₄	—	5	1	no	—
500	C₃×C₄×D₄	—	5	2	no	—
501	C₃×C₄×D₄	—	5	2	no	—
502	C₃×C₄×D₄	—	5	2	no	—
503	C₃×C₄×D₄	—	5	2	no	—
504	C₃×C₄×D₄	—	5	1	no	—
505	C₃×C₄×D₄	—	5	2	no	—
506	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
507	C₃×C₄×D₄	C₂×D₅	1	2	yes	complemented
508	C₃×#117	—	5	2	no	—
509	C₃×#117	—	5	2	no	—
510	C₃×#117	—	5	2	no	—
511	C₃×#117	—	5	2	no	—
512	C₃×#117	—	5	2	no	—
513	C₃×#117	—	5	2	no	—
514	C₃×#117	—	5	2	no	—
515	C₃×#117	C₂×D₅	1	2	yes	complemented
516	C₂×C₃×C₄⋊C₄	—	5	2	no	—
517	C₂×C₃×C₄⋊C₄	—	5	2	no	—
518	C₂×C₃×C₄⋊C₄	—	5	1	no	—
519	C₂×C₃×C₄⋊C₄	—	5	2	no	—
520	C₂×C₃×C₄⋊C₄	—	5	1	no	—
521	C₂×C₃×C₄⋊C₄	—	5	2	no	—
522	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
523	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
524	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
525	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
526	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
527	C₂×C₃×C₄²	—	5	1	no	—
528	C₂×C₃×C₄²	—	5	1	no	—
529	C₂×C₃×C₄²	—	5	1	no	—
530	C₂×C₃×C₄²	—	5	1	no	—
531	C₂×C₃×C₄²	—	5	1	no	—
532	C₂×C₃×C₄²	—	5	1	no	—
533	C₂×C₃×C₄²	—	5	1	no	—
534	C₂×C₃×C₄²	—	5	2	no	—
535	C₂×C₃×C₄²	—	5	1	no	—
536	C₂×C₃×C₄²	—	5	1	no	—
537	C₂×C₃×C₄²	—	5	1	no	—
538	C₂×C₃×C₄²	—	5	1	no	—
539	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic, complemented
540	C₂³×D₅	C₂³×C₃	1	2	yes	—
541	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
542	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
543	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
544	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
545	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
546	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
547	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
548	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
549	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
550	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
551	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
552	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
553	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
554	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
555	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
556	Q₈×D₅	—	2	4	no	—
557	D₄×D₅	—	2	8	no	—
558	D₄×D₅	—	2	4	no	—
559	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
560	C₂×D₂₀	C₂³×C₃	1	2	yes	—
561	C₂×C₄×D₅	—	2	4	no	—
562	C₂×C₄×D₅	—	2	4	no	—
563	C₂×C₄×D₅	—	2	8	no	—
564	C₂×C₄×D₅	—	2	4	no	—
565	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
571	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
572	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
573	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
576	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
577	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
578	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
579	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
580	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
581	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
582	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
583	C₂×Dic₁₀	C₂³×C₃	1	2	yes	—
584	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
585	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
586	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
588	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
590	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
591	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
592	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
593	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
594	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
595	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
596	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
597	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
598	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
599	C₄²×C₅	C₂³×C₃	1	2	yes	—
600	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
601	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
602	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
603	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
604	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
605	#685	C₂³×C₃	1	2	yes	—
606	#685	C₂³×C₃	1	2	yes	—
607	#685	C₂³×C₃	1	2	yes	—
608	#685	C₂³×C₃	1	2	yes	—
609	#685	C₂³×C₃	1	2	yes	—
610	#685	C₂³×C₃	1	2	yes	—
611	#685	C₂³×C₃	1	2	yes	—
612	#685	C₂³×C₃	1	2	yes	—
613	#685	C₂³×C₃	1	2	yes	—
614	#685	C₂³×C₃	1	2	yes	—
615	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
616	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
617	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
618	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
619	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
620	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
621	#683	C₂³×C₃	1	2	yes	—
622	#683	C₂³×C₃	1	2	yes	—
623	#683	C₂³×C₃	1	2	yes	—
624	#683	C₂³×C₃	1	2	yes	—
625	#683	C₂³×C₃	1	2	yes	—
626	#683	C₂³×C₃	1	2	yes	—
627	#683	C₂³×C₃	1	2	yes	—
628	#683	C₂³×C₃	1	2	yes	—
629	#683	C₂³×C₃	1	2	yes	—
630	#683	C₂³×C₃	1	2	yes	—
631	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
632	C₄×Dic₅	C₂³×C₃	1	2	yes	—
633	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
634	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
635	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
636	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
637	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
638	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
639	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
640	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
641	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
642	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
643	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
644	C₄×Dic₅	C₂³×C₃	1	2	yes	—
645	C₄×Dic₅	C₂³×C₃	1	2	yes	—
646	#529	—	5	2	no	—
647	#529	—	5	1	no	—
648	#529	—	5	1	no	—
649	#529	—	5	2	no	—
650	#529	—	5	1	no	—
651	#529	—	5	1	no	—
652	#529	—	5	1	no	—
653	#529	—	5	2	no	—
654	#529	—	5	1	no	—
655	#529	—	5	2	no	—
656	#529	—	5	1	no	—
657	#529	C₃×D₅	1	1	yes	characteristic, direct product factor
658	C₂×#126	—	5	2	no	—
659	C₂×#125	—	5	1	no	—
660	C₂×#124	—	5	1	no	—
661	C₂×#123	—	5	2	no	—
662	C₂×C₂²⋊Q₈	—	5	1	no	—
663	C₂×#121	—	5	1	no	—
664	C₂×C₄×Q₈	—	5	1	no	—
665	C₂×C₄×D₄	—	5	2	no	—
666	C₂×C₄×D₄	—	5	1	no	—
667	C₂×#117	—	5	2	no	—
668	C₂²×C₄²	—	5	1	no	—
669	C₂²×C₃×C₅	—	2	1	no	—
670	C₂²×C₃×C₅	—	2	1	no	—
671	C₂²×C₃×C₅	—	2	2	no	—
672	C₂²×C₃×C₅	—	2	2	no	—
673	C₂²×C₃×C₅	—	2	2	no	—
674	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
675	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
676	C₂×C₃×D₅	—	2	1	no	—
677	C₂×C₃×D₅	—	2	1	no	—
678	C₂×C₃×D₅	—	2	8	no	—
679	C₂×C₃×D₅	—	2	2	no	—
680	C₂×C₃×D₅	—	2	2	no	—
681	C₂×C₃×D₅	—	2	2	no	—
682	C₂×C₃×D₅	—	4	8	no	—
683	C₂×C₃×D₅	C₂×#41	1	2	yes	—
684	C₂×C₃×D₅	C₂×#41	1	2	yes	—
685	C₂×C₃×D₅	C₂×#41	1	2	yes	—
686	C₂×C₃×D₅	C₂×#41	1	2	yes	—
687	C₃×C₄×C₅	—	2	2	no	—
688	C₃×C₄×C₅	—	2	1	no	—
689	C₃×C₄×C₅	—	2	1	no	—
690	C₃×C₄×C₅	—	2	1	no	—
691	C₃×C₄×C₅	—	2	1	no	—
692	C₃×C₄×C₅	—	2	2	no	—
693	C₃×C₄×C₅	—	2	2	no	—
694	C₃×C₄×C₅	C₂×#41	1	2	yes	—
695	C₃×C₄×C₅	C₂×#41	1	2	yes	—
696	C₃×Dic₅	—	2	2	no	—
697	C₃×Dic₅	—	2	1	no	—
698	C₃×Dic₅	—	2	1	no	—
699	C₃×Dic₅	—	2	1	no	—
700	C₃×Dic₅	—	2	1	no	—
701	C₃×Dic₅	—	2	2	no	—
702	C₃×Dic₅	—	2	2	no	—
703	C₃×Dic₅	C₂×#41	1	2	yes	—
704	C₃×Dic₅	C₂×#41	1	2	yes	—
705	C₂⁴×C₃	—	5	1	no	—
706	C₂⁴×C₃	—	5	2	no	—
707	C₂×C₃×Q₈	—	5	2	no	—
708	C₂×C₃×Q₈	—	5	1	no	—
709	C₂×C₃×Q₈	—	10	4	no	—
710	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
711	C₂×C₃×D₄	—	5	2	no	—
712	C₂×C₃×D₄	—	5	2	no	—
713	C₂×C₃×D₄	—	5	2	no	—
714	C₂×C₃×D₄	—	5	2	no	—
715	C₂×C₃×D₄	—	5	1	no	—
716	C₂×C₃×D₄	—	10	4	no	—
717	C₂×C₃×D₄	—	10	8	no	—
718	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
719	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
720	C₂²×C₃×C₄	—	5	1	no	—
721	C₂²×C₃×C₄	—	5	1	no	—
722	C₂²×C₃×C₄	—	5	1	no	—
723	C₂²×C₃×C₄	—	5	1	no	—
724	C₂²×C₃×C₄	—	5	1	no	—
725	C₂²×C₃×C₄	—	5	2	no	—
726	C₂²×C₃×C₄	—	5	1	no	—
727	C₂²×C₃×C₄	—	5	1	no	—
728	C₂²×C₃×C₄	—	5	1	no	—
729	C₂²×C₃×C₄	—	5	1	no	—
730	C₂²×C₃×C₄	—	5	1	no	—
731	C₂²×C₃×C₄	—	5	1	no	—
732	C₂²×C₃×C₄	—	5	1	no	—
733	C₂²×C₃×C₄	—	5	1	no	—
734	C₂²×C₃×C₄	—	5	1	no	—
735	C₂²×C₃×C₄	—	5	2	no	—
736	C₂²×C₃×C₄	—	5	2	no	—
737	C₂²×C₃×C₄	—	5	2	no	—
738	C₂²×C₃×C₄	—	5	2	no	—
739	C₂²×C₃×C₄	—	5	1	no	—
740	C₂²×C₃×C₄	—	5	2	no	—
741	C₂²×C₃×C₄	—	10	4	no	—
742	C₂²×C₃×C₄	—	10	8	no	—
743	C₂²×C₃×C₄	—	10	4	no	—
744	C₂²×C₃×C₄	—	10	4	no	—
745	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
746	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
747	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
748	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
749	C₃×C₄⋊C₄	—	5	2	no	—
750	C₃×C₄⋊C₄	—	5	2	no	—
751	C₃×C₄⋊C₄	—	5	2	no	—
752	C₃×C₄⋊C₄	—	5	2	no	—
753	C₃×C₄⋊C₄	—	5	2	no	—
754	C₃×C₄⋊C₄	—	5	2	no	—
755	C₃×C₄⋊C₄	—	5	2	no	—
756	C₃×C₄⋊C₄	—	5	2	no	—
757	C₃×C₄⋊C₄	—	5	2	no	—
758	C₃×C₄⋊C₄	—	5	2	no	—
759	C₃×C₄⋊C₄	—	5	2	no	—
760	C₃×C₄⋊C₄	—	5	2	no	—
761	C₃×C₄⋊C₄	—	5	1	no	—
762	C₃×C₄⋊C₄	—	5	2	no	—
763	C₃×C₄⋊C₄	—	5	1	no	—
764	C₃×C₄⋊C₄	—	5	2	no	—
765	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
766	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
767	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
768	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
769	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
770	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
771	C₃×C₂²⋊C₄	—	5	2	no	—
772	C₃×C₂²⋊C₄	—	5	2	no	—
773	C₃×C₂²⋊C₄	—	5	2	no	—
774	C₃×C₂²⋊C₄	—	5	2	no	—
775	C₃×C₂²⋊C₄	—	5	2	no	—
776	C₃×C₂²⋊C₄	—	5	2	no	—
777	C₃×C₂²⋊C₄	—	5	2	no	—
778	C₃×C₂²⋊C₄	—	5	2	no	—
779	C₃×C₂²⋊C₄	—	5	2	no	—
780	C₃×C₂²⋊C₄	—	5	2	no	—
781	C₃×C₂²⋊C₄	—	5	2	no	—
782	C₃×C₂²⋊C₄	—	5	2	no	—
783	C₃×C₂²⋊C₄	—	5	2	no	—
784	C₃×C₂²⋊C₄	—	5	2	no	—
785	C₃×C₂²⋊C₄	—	5	2	no	—
786	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
787	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
788	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
789	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
790	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
791	C₃×C₄²	—	5	1	no	—
792	C₃×C₄²	—	5	1	no	—
793	C₃×C₄²	—	5	1	no	—
794	C₃×C₄²	—	5	1	no	—
795	C₃×C₄²	—	5	1	no	—
796	C₃×C₄²	—	5	1	no	—
797	C₃×C₄²	—	5	1	no	—
798	C₃×C₄²	—	5	1	no	—
799	C₃×C₄²	—	5	1	no	—
800	C₃×C₄²	—	5	1	no	—
801	C₃×C₄²	—	5	2	no	—
802	C₃×C₄²	—	5	2	no	—
803	C₃×C₄²	—	5	1	no	—
804	C₃×C₄²	—	5	1	no	—
805	C₃×C₄²	—	5	2	no	—
806	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
807	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
808	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
809	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
810	C₃×C₄²	C₂²×D₅	1	2	yes	—
811	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
812	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
813	C₂²×D₅	—	2	2	no	—
814	C₂²×D₅	—	2	2	no	—
815	C₂²×D₅	—	2	4	no	—
816	C₂²×D₅	—	2	4	no	—
817	C₂²×D₅	—	2	4	no	—
818	C₂²×D₅	C₃×#41	1	4	yes	—
819	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
820	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
821	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
822	C₅×Q₈	—	2	2	no	—
823	C₅×D₄	—	2	4	no	—
824	C₅×D₄	—	2	2	no	—
825	C₂×C₄×C₅	—	2	2	no	—
826	C₂×C₄×C₅	—	2	2	no	—
827	C₂×C₄×C₅	—	2	2	no	—
828	C₂×C₄×C₅	—	2	4	no	—
829	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
830	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
831	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
832	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
833	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
834	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
835	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
836	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
837	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
838	C₂²⋊D₅	—	2	4	no	—
839	C₂²⋊D₅	—	2	4	no	—
840	C₂²⋊D₅	—	2	4	no	—
841	C₂×Dic₅	—	2	2	no	—
842	C₂×Dic₅	—	2	2	no	—
843	C₂×Dic₅	—	2	2	no	—
844	C₂×Dic₅	—	2	4	no	—
845	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
846	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
847	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
848	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
849	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
850	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
851	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
852	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
853	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
854	D₂₀	—	2	4	no	—
855	D₂₀	—	2	2	no	—
856	C₄×D₅	—	2	2	no	—
857	C₄×D₅	—	2	2	no	—
858	C₄×D₅	—	2	2	no	—
859	C₄×D₅	—	2	2	no	—
860	C₄×D₅	—	2	2	no	—
861	C₄×D₅	—	2	2	no	—
862	C₄×D₅	—	2	4	no	—
863	C₄×D₅	—	2	4	no	—
864	C₄×D₅	—	2	4	no	—
865	C₄×D₅	—	2	2	no	—
866	C₄×D₅	—	2	2	no	—
867	C₄×D₅	—	2	4	no	—
868	C₄×D₅	—	2	2	no	—
869	C₄×D₅	—	2	2	no	—
870	C₄×D₅	—	2	4	no	—
871	C₄×D₅	C₃×#41	1	4	yes	—
872	C₄×D₅	C₃×#41	1	4	yes	—
873	Dic₁₀	—	2	2	no	—
874	Dic₁₀	—	2	4	no	—
875	C₂²×Q₈	—	5	1	no	—
876	C₂²×D₄	—	5	2	no	—
877	C₂²×D₄	—	5	1	no	—
878	C₂³×C₄	—	5	2	no	—
879	C₂³×C₄	—	5	1	no	—
880	C₂³×C₄	—	5	1	no	—
881	C₂³×C₄	—	5	1	no	—
882	#126	—	5	2	no	—
883	#126	—	5	2	no	—
884	#126	—	5	2	no	—
885	#126	—	5	2	no	—
886	#126	—	5	2	no	—
887	#126	—	5	2	no	—
888	#126	—	5	2	no	—
889	#126	C₂×C₃×D₅	1	2	yes	complemented
890	#125	—	5	2	no	—
891	#125	—	5	2	no	—
892	#125	—	5	1	no	—
893	#125	—	5	1	no	—
894	#125	—	5	1	no	—
895	#125	C₂×C₃×D₅	1	1	yes	characteristic, complemented
896	#124	—	5	1	no	—
897	#124	—	5	1	no	—
898	#124	—	5	2	no	—
899	#124	—	5	2	no	—
900	#124	—	5	1	no	—
901	#124	C₂×C₃×D₅	1	1	yes	characteristic, complemented
902	#123	—	5	2	no	—
903	#123	—	5	2	no	—
904	#123	—	5	2	no	—
905	#123	—	5	2	no	—
906	#123	—	5	2	no	—
907	#123	—	5	2	no	—
908	#123	—	5	2	no	—
909	#123	C₂×C₃×D₅	1	2	yes	complemented
910	C₂²⋊Q₈	—	5	1	no	—
911	C₂²⋊Q₈	—	5	1	no	—
912	C₂²⋊Q₈	—	5	2	no	—
913	C₂²⋊Q₈	—	5	1	no	—
914	C₂²⋊Q₈	—	5	2	no	—
915	C₂²⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
916	#121	—	5	1	no	—
917	#121	—	5	2	no	—
918	#121	—	5	1	no	—
919	#121	—	5	1	no	—
920	#121	—	5	2	no	—
921	#121	C₂×C₃×D₅	1	1	yes	characteristic
922	C₄×Q₈	—	5	1	no	—
923	C₄×Q₈	—	5	2	no	—
924	C₄×Q₈	—	5	1	no	—
925	C₄×Q₈	—	5	2	no	—
926	C₄×Q₈	—	5	1	no	—
927	C₄×Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
928	C₄×D₄	—	5	1	no	—
929	C₄×D₄	—	5	2	no	—
930	C₄×D₄	—	5	2	no	—
931	C₄×D₄	—	5	2	no	—
932	C₄×D₄	—	5	2	no	—
933	C₄×D₄	—	5	1	no	—
934	C₄×D₄	—	5	2	no	—
935	C₄×D₄	—	5	2	no	—
936	C₄×D₄	—	5	2	no	—
937	C₄×D₄	—	5	2	no	—
938	C₄×D₄	—	5	1	no	—
939	C₄×D₄	—	5	2	no	—
940	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
941	C₄×D₄	C₂×C₃×D₅	1	2	yes	complemented
942	#117	—	5	2	no	—
943	#117	—	5	2	no	—
944	#117	—	5	2	no	—
945	#117	—	5	2	no	—
946	#117	—	5	2	no	—
947	#117	—	5	2	no	—
948	#117	—	5	2	no	—
949	#117	C₂×C₃×D₅	1	2	yes	complemented
950	C₂×C₄⋊C₄	—	5	2	no	—
951	C₂×C₄⋊C₄	—	5	2	no	—
952	C₂×C₄⋊C₄	—	5	1	no	—
953	C₂×C₄⋊C₄	—	5	2	no	—
954	C₂×C₄⋊C₄	—	5	1	no	—
955	C₂×C₄⋊C₄	—	5	2	no	—
956	C₂×C₂²⋊C₄	—	5	2	no	—
957	C₂×C₂²⋊C₄	—	5	2	no	—
958	C₂×C₂²⋊C₄	—	5	2	no	—
959	C₂×C₂²⋊C₄	—	5	2	no	—
960	C₂×C₂²⋊C₄	—	5	2	no	—
961	C₂×C₄²	—	5	1	no	—
962	C₂×C₄²	—	5	1	no	—
963	C₂×C₄²	—	5	1	no	—
964	C₂×C₄²	—	5	1	no	—
965	C₂×C₄²	—	5	2	no	—
966	C₂×C₄²	—	5	1	no	—
967	C₂×C₄²	—	5	1	no	—
968	C₂×C₄²	—	5	1	no	—
969	C₂×C₄²	—	5	1	no	—
970	C₂×C₄²	—	5	1	no	—
971	C₂×C₄²	—	5	1	no	—
972	C₂×C₄²	—	5	1	no	—
973	C₂×C₄²	C₂×C₃×D₅	1	1	yes	characteristic, complemented
974	C₂×C₃×C₅	—	2	2	no	—
975	C₂×C₃×C₅	—	4	2	no	—
976	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
977	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
978	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
979	C₃×D₅	—	2	2	no	—
980	C₃×D₅	—	4	2	no	—
981	C₃×D₅	#529	1	4	yes	direct product factor
982	C₂³×C₃	—	5	1	no	—
983	C₂³×C₃	—	5	4	no	—
984	C₂³×C₃	—	5	1	no	—
985	C₂³×C₃	—	5	2	no	—
986	C₂³×C₃	—	10	2	no	—
987	C₂³×C₃	—	10	2	no	—
988	C₂³×C₃	—	10	4	no	—
989	C₂³×C₃	—	10	4	no	—
990	C₂³×C₃	—	10	4	no	—
991	C₂³×C₃	C₂³×D₅	1	2	yes	—
992	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
993	C₃×Q₈	—	2	2	no	—
994	C₃×Q₈	—	10	4	no	—
995	C₃×Q₈	—	10	2	no	—
996	C₃×D₄	—	2	4	no	—
997	C₃×D₄	—	2	2	no	—
998	C₃×D₄	—	10	4	no	—
999	C₃×D₄	—	10	4	no	—
1000	C₃×D₄	—	10	4	no	—
1001	C₃×D₄	—	10	4	no	—
1002	C₃×D₄	—	10	2	no	—
1003	C₂×C₃×C₄	—	2	2	no	—
1004	C₂×C₃×C₄	—	2	2	no	—
1005	C₂×C₃×C₄	—	2	4	no	—
1006	C₂×C₃×C₄	—	2	2	no	—
1007	C₂×C₃×C₄	—	5	1	no	—
1008	C₂×C₃×C₄	—	5	1	no	—
1009	C₂×C₃×C₄	—	5	4	no	—
1010	C₂×C₃×C₄	—	5	4	no	—
1011	C₂×C₃×C₄	—	5	1	no	—
1012	C₂×C₃×C₄	—	5	1	no	—
1013	C₂×C₃×C₄	—	5	1	no	—
1014	C₂×C₃×C₄	—	5	1	no	—
1015	C₂×C₃×C₄	—	5	2	no	—
1016	C₂×C₃×C₄	—	5	2	no	—
1017	C₂×C₃×C₄	—	5	2	no	—
1018	C₂×C₃×C₄	—	10	2	no	—
1019	C₂×C₃×C₄	—	10	4	no	—
1020	C₂×C₃×C₄	—	10	2	no	—
1021	C₂×C₃×C₄	—	10	2	no	—
1022	C₂×C₃×C₄	—	10	2	no	—
1023	C₂×C₃×C₄	—	10	4	no	—
1024	C₂×C₃×C₄	—	10	2	no	—
1025	C₂×C₃×C₄	—	10	2	no	—
1026	C₂×C₃×C₄	—	10	2	no	—
1027	C₂×C₃×C₄	—	10	2	no	—
1028	C₂×C₃×C₄	—	10	4	no	—
1029	C₂×C₃×C₄	—	10	4	no	—
1030	C₂×C₃×C₄	—	10	2	no	—
1031	C₂×C₃×C₄	—	10	4	no	—
1032	C₂×C₃×C₄	—	10	2	no	—
1033	C₂×C₃×C₄	—	10	2	no	—
1034	C₂×C₃×C₄	—	10	2	no	—
1035	C₂×C₃×C₄	—	10	4	no	—
1036	C₂×C₃×C₄	—	10	2	no	—
1037	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1038	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1039	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1040	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1041	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1042	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1043	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1044	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1045	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1046	C₂²×C₅	—	2	1	no	—
1047	C₂²×C₅	—	2	1	no	—
1048	C₂²×C₅	—	2	2	no	—
1049	C₂²×C₅	—	2	2	no	—
1050	C₂²×C₅	—	2	2	no	—
1051	C₂²×C₅	C₂×C₃×#41	1	2	yes	—
1052	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1053	C₂×D₅	—	2	1	no	—
1054	C₂×D₅	—	2	1	no	—
1055	C₂×D₅	—	2	8	no	—
1056	C₂×D₅	—	2	2	no	—
1057	C₂×D₅	—	2	2	no	—
1058	C₂×D₅	—	2	2	no	—
1059	C₂×D₅	—	4	8	no	—
1060	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1061	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1062	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1063	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1064	C₄×C₅	—	2	2	no	—
1065	C₄×C₅	—	2	1	no	—
1066	C₄×C₅	—	2	1	no	—
1067	C₄×C₅	—	2	1	no	—
1068	C₄×C₅	—	2	1	no	—
1069	C₄×C₅	—	2	2	no	—
1070	C₄×C₅	—	2	2	no	—
1071	C₄×C₅	C₂×C₃×#41	1	2	yes	—
1072	C₄×C₅	C₂×C₃×#41	1	2	yes	—
1073	Dic₅	—	2	2	no	—
1074	Dic₅	—	2	1	no	—
1075	Dic₅	—	2	1	no	—
1076	Dic₅	—	2	1	no	—
1077	Dic₅	—	2	1	no	—
1078	Dic₅	—	2	2	no	—
1079	Dic₅	—	2	2	no	—
1080	Dic₅	C₂×C₃×#41	1	2	yes	—
1081	Dic₅	C₂×C₃×#41	1	2	yes	—
1082	C₂⁴	—	5	1	no	—
1083	C₂⁴	—	5	2	no	—
1084	C₂×Q₈	—	5	2	no	—
1085	C₂×Q₈	—	5	1	no	—
1086	C₂×Q₈	—	10	4	no	—
1087	C₂×Q₈	C₂²×C₃×D₅	1	1	yes	characteristic
1088	C₂×D₄	—	5	2	no	—
1089	C₂×D₄	—	5	2	no	—
1090	C₂×D₄	—	5	2	no	—
1091	C₂×D₄	—	5	2	no	—
1092	C₂×D₄	—	5	1	no	—
1093	C₂×D₄	—	10	4	no	—
1094	C₂×D₄	—	10	8	no	—
1095	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1096	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1097	C₂²×C₄	—	5	1	no	—
1098	C₂²×C₄	—	5	1	no	—
1099	C₂²×C₄	—	5	1	no	—
1100	C₂²×C₄	—	5	1	no	—
1101	C₂²×C₄	—	5	1	no	—
1102	C₂²×C₄	—	5	2	no	—
1103	C₂²×C₄	—	5	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	5	1	no	—
1107	C₂²×C₄	—	5	1	no	—
1108	C₂²×C₄	—	5	1	no	—
1109	C₂²×C₄	—	5	1	no	—
1110	C₂²×C₄	—	5	1	no	—
1111	C₂²×C₄	—	5	1	no	—
1112	C₂²×C₄	—	5	1	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	—	10	4	no	—
1119	C₂²×C₄	—	10	8	no	—
1120	C₂²×C₄	—	10	4	no	—
1121	C₂²×C₄	—	10	4	no	—
1122	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1123	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1124	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1125	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
1126	C₄⋊C₄	—	5	2	no	—
1127	C₄⋊C₄	—	5	2	no	—
1128	C₄⋊C₄	—	5	2	no	—
1129	C₄⋊C₄	—	5	2	no	—
1130	C₄⋊C₄	—	5	2	no	—
1131	C₄⋊C₄	—	5	2	no	—
1132	C₄⋊C₄	—	5	2	no	—
1133	C₄⋊C₄	—	5	1	no	—
1134	C₄⋊C₄	—	5	2	no	—
1135	C₄⋊C₄	—	5	2	no	—
1136	C₄⋊C₄	—	5	2	no	—
1137	C₄⋊C₄	—	5	2	no	—
1138	C₄⋊C₄	—	5	1	no	—
1139	C₄⋊C₄	—	5	2	no	—
1140	C₄⋊C₄	—	5	2	no	—
1141	C₄⋊C₄	—	5	2	no	—
1142	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1143	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1144	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1145	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1146	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1147	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1148	C₂²⋊C₄	—	5	2	no	—
1149	C₂²⋊C₄	—	5	2	no	—
1150	C₂²⋊C₄	—	5	2	no	—
1151	C₂²⋊C₄	—	5	2	no	—
1152	C₂²⋊C₄	—	5	2	no	—
1153	C₂²⋊C₄	—	5	2	no	—
1154	C₂²⋊C₄	—	5	2	no	—
1155	C₂²⋊C₄	—	5	2	no	—
1156	C₂²⋊C₄	—	5	2	no	—
1157	C₂²⋊C₄	—	5	2	no	—
1158	C₂²⋊C₄	—	5	2	no	—
1159	C₂²⋊C₄	—	5	2	no	—
1160	C₂²⋊C₄	—	5	2	no	—
1161	C₂²⋊C₄	—	5	2	no	—
1162	C₂²⋊C₄	—	5	2	no	—
1163	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1164	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1165	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1166	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1167	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1168	C₄²	—	5	1	no	—
1169	C₄²	—	5	1	no	—
1170	C₄²	—	5	1	no	—
1171	C₄²	—	5	1	no	—
1172	C₄²	—	5	1	no	—
1173	C₄²	—	5	1	no	—
1174	C₄²	—	5	1	no	—
1175	C₄²	—	5	1	no	—
1176	C₄²	—	5	1	no	—
1177	C₄²	—	5	1	no	—
1178	C₄²	—	5	1	no	—
1179	C₄²	—	5	1	no	—
1180	C₄²	—	5	2	no	—
1181	C₄²	—	5	2	no	—
1182	C₄²	—	5	2	no	—
1183	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1184	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1185	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1186	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1187	C₄²	C₂²×C₃×D₅	1	2	yes	—
1188	C₃×C₅	C₂×#529	1	1	yes	characteristic, complemented, Hall
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	1	no	—
1191	C₂²×C₃	—	2	2	no	—
1192	C₂²×C₃	—	2	2	no	—
1193	C₂²×C₃	—	2	2	no	—
1194	C₂²×C₃	—	5	2	no	—
1195	C₂²×C₃	—	5	2	no	—
1196	C₂²×C₃	—	5	2	no	—
1197	C₂²×C₃	—	5	2	no	—
1198	C₂²×C₃	—	10	8	no	—
1199	C₂²×C₃	—	10	1	no	—
1200	C₂²×C₃	—	10	1	no	—
1201	C₂²×C₃	—	10	2	no	—
1202	C₂²×C₃	—	10	2	no	—
1203	C₂²×C₃	—	10	2	no	—
1204	C₂²×C₃	—	20	8	no	—
1205	C₂²×C₃	D₅×#41	1	2	yes	—
1206	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1207	C₃×C₄	—	2	1	no	—
1208	C₃×C₄	—	2	1	no	—
1209	C₃×C₄	—	2	1	no	—
1210	C₃×C₄	—	2	1	no	—
1211	C₃×C₄	—	2	2	no	—
1212	C₃×C₄	—	2	2	no	—
1213	C₃×C₄	—	2	2	no	—
1214	C₃×C₄	—	5	2	no	—
1215	C₃×C₄	—	5	2	no	—
1216	C₃×C₄	—	10	1	no	—
1217	C₃×C₄	—	10	1	no	—
1218	C₃×C₄	—	10	1	no	—
1219	C₃×C₄	—	10	1	no	—
1220	C₃×C₄	—	10	2	no	—
1221	C₃×C₄	—	10	2	no	—
1222	C₃×C₄	—	10	2	no	—
1223	C₃×C₄	D₅×#41	1	2	yes	—
1224	C₃×C₄	D₅×#41	1	2	yes	—
1225	C₂×C₅	—	2	2	no	—
1226	C₂×C₅	—	4	2	no	—
1227	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1228	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1229	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1230	D₅	—	2	2	no	—
1231	D₅	—	4	2	no	—
1232	D₅	C₃×#529	1	4	yes	direct product factor
1233	C₂³	—	5	1	no	—
1234	C₂³	—	5	4	no	—
1235	C₂³	—	5	1	no	—
1236	C₂³	—	5	2	no	—
1237	C₂³	—	10	2	no	—
1238	C₂³	—	10	2	no	—
1239	C₂³	—	10	4	no	—
1240	C₂³	—	10	4	no	—
1241	C₂³	—	10	4	no	—
1242	C₂³	C₂³×C₃×D₅	1	2	yes	—
1243	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1244	Q₈	—	2	2	no	—
1245	Q₈	—	10	4	no	—
1246	Q₈	—	10	2	no	—
1247	D₄	—	2	4	no	—
1248	D₄	—	2	2	no	—
1249	D₄	—	10	4	no	—
1250	D₄	—	10	4	no	—
1251	D₄	—	10	4	no	—
1252	D₄	—	10	4	no	—
1253	D₄	—	10	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	5	1	no	—
1259	C₂×C₄	—	5	1	no	—
1260	C₂×C₄	—	5	4	no	—
1261	C₂×C₄	—	5	4	no	—
1262	C₂×C₄	—	5	1	no	—
1263	C₂×C₄	—	5	1	no	—
1264	C₂×C₄	—	5	1	no	—
1265	C₂×C₄	—	5	1	no	—
1266	C₂×C₄	—	5	2	no	—
1267	C₂×C₄	—	5	2	no	—
1268	C₂×C₄	—	5	2	no	—
1269	C₂×C₄	—	10	2	no	—
1270	C₂×C₄	—	10	4	no	—
1271	C₂×C₄	—	10	2	no	—
1272	C₂×C₄	—	10	2	no	—
1273	C₂×C₄	—	10	2	no	—
1274	C₂×C₄	—	10	4	no	—
1275	C₂×C₄	—	10	2	no	—
1276	C₂×C₄	—	10	2	no	—
1277	C₂×C₄	—	10	2	no	—
1278	C₂×C₄	—	10	2	no	—
1279	C₂×C₄	—	10	4	no	—
1280	C₂×C₄	—	10	4	no	—
1281	C₂×C₄	—	10	2	no	—
1282	C₂×C₄	—	10	4	no	—
1283	C₂×C₄	—	10	2	no	—
1284	C₂×C₄	—	10	2	no	—
1285	C₂×C₄	—	10	2	no	—
1286	C₂×C₄	—	10	4	no	—
1287	C₂×C₄	—	10	2	no	—
1288	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1289	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1290	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1291	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1292	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1293	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1294	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1295	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1296	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1297	C₂×C₃	—	2	2	no	—
1298	C₂×C₃	—	4	2	no	—
1299	C₂×C₃	—	5	4	no	—
1300	C₂×C₃	—	10	2	no	—
1301	C₂×C₃	—	20	2	no	—
1302	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1303	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1304	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1305	C₅	C₂×C₃×#529	1	1	yes	characteristic, complemented, Sylow
1306	C₂²	—	2	1	no	—
1307	C₂²	—	2	1	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	2	no	—
1310	C₂²	—	2	2	no	—
1311	C₂²	—	5	2	no	—
1312	C₂²	—	5	2	no	—
1313	C₂²	—	5	2	no	—
1314	C₂²	—	5	2	no	—
1315	C₂²	—	10	8	no	—
1316	C₂²	—	10	1	no	—
1317	C₂²	—	10	1	no	—
1318	C₂²	—	10	2	no	—
1319	C₂²	—	10	2	no	—
1320	C₂²	—	10	2	no	—
1321	C₂²	—	20	8	no	—
1322	C₂²	C₃×D₅×#41	1	2	yes	—
1323	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1324	C₄	—	2	1	no	—
1325	C₄	—	2	1	no	—
1326	C₄	—	2	1	no	—
1327	C₄	—	2	1	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	5	2	no	—
1332	C₄	—	5	2	no	—
1333	C₄	—	10	1	no	—
1334	C₄	—	10	1	no	—
1335	C₄	—	10	1	no	—
1336	C₄	—	10	1	no	—
1337	C₄	—	10	2	no	—
1338	C₄	—	10	2	no	—
1339	C₄	—	10	2	no	—
1340	C₄	C₃×D₅×#41	1	2	yes	—
1341	C₄	C₃×D₅×#41	1	2	yes	—
1342	C₃	D₅×#529	1	1	yes	characteristic, direct product factor, Sylow
1343	C₂	—	2	2	no	—
1344	C₂	—	4	2	no	—
1345	C₂	—	5	4	no	—
1346	C₂	—	10	2	no	—
1347	C₂	—	20	2	no	—
1348	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1349	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1350	C₂	C₂×C₃×D₅×#41	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×#529	C₂
socle	C₂²×C₃×C₅	C₂⁵
prime radical	C₃×D₅×#121	C₂
hypercenter	C₃×#529	D₅
hypocenter	C₅	C₂×C₃×#529
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#529

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#529	C₂	semidirect
2. C₃×#66040	C₂	semidirect
3. C₃×D₅×#126	C₂	semidirect
4. C₃×#66025	C₂	semidirect
5. C₃×D₅×#125	C₂	semidirect
6. C₃×#66014	C₂	semidirect
7. C₃×D₅×#124	C₂	semidirect
8. C₃×D₅×#123	C₂	semidirect
9. C₃×#65983	C₂	semidirect
10. C₃×D₅×C₂²⋊Q₈	C₂	semidirect
11. C₃×#65958	C₂	semidirect
13. C₃×#65934	C₂	semidirect
14. C₃×#65914	C₂	semidirect
15. C₃×C₄×Q₈×D₅	C₂	semidirect
16. C₃×#65891	C₂	semidirect
17. C₃×C₄×D₄×D₅	C₂	semidirect
18. C₃×C₄×D₄×D₅	C₂	semidirect
19. C₃×#65872	C₂	semidirect
20. C₃×#65862	C₂	semidirect
21. C₃×D₅×#117	C₂	semidirect
22. C₃×#65813	C₂	semidirect
23. C₂×C₃×C₄²×D₅	C₂	semidirect
24. D₅×#529	C₃	direct (N × H)
32. C₃×C₅×#126	C₂²	semidirect
33. C₃×C₅×#125	C₂²	semidirect
34. C₃×C₅×#124	C₂²	semidirect
35. C₃×C₅×#123	C₂²	semidirect
36. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
38. C₃×C₄×C₅×Q₈	C₂²	semidirect
39. C₃×C₄×C₅×D₄	C₂²	semidirect
40. C₃×C₄×C₅×D₄	C₂²	semidirect
41. C₃×C₅×#117	C₂²	semidirect
42. C₂×C₃×C₄²×C₅	C₂²	semidirect
43. C₃×#4093	C₂²	semidirect
44. C₃×#4092	C₂²	semidirect
45. C₃×Q₈×Dic₅	C₂²	semidirect
48. C₃×#4082	C₂²	semidirect
49. C₃×#4081	C₂²	semidirect
50. C₃×D₄×Dic₅	C₂²	semidirect
51. C₃×D₄×Dic₅	C₂²	semidirect
53. C₃×#4075	C₂²	semidirect
54. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
55. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
56. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
57. C₃×#4072	C₂²	semidirect
58. C₃×#4070	C₂²	semidirect
59. C₂×C₃×C₄×Dic₅	C₂²	semidirect
60. C₂×C₃×C₄×Dic₅	C₂²	semidirect
61. C₂×C₃×C₄×Dic₅	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
68. C₃×#4040	C₂²	semidirect
69. C₃×#4040	C₂²	semidirect
70. C₃×#4039	C₂²	semidirect
71. C₃×#4039	C₂²	semidirect
72. C₃×#4038	C₂²	semidirect
73. C₃×#4038	C₂²	semidirect
80. C₃×#4036	C₂²	semidirect
81. C₃×#4036	C₂²	semidirect
82. C₃×#4035	C₂²	semidirect
83. C₃×#4035	C₂²	semidirect
84. C₃×#4033	C₂²	semidirect
85. C₃×#4033	C₂²	semidirect
86. C₃×#4032	C₂²	semidirect
87. C₃×#4031	C₂²	semidirect
88. C₃×#4031	C₂²	semidirect
90. C₃×#4029	C₂²	semidirect
91. C₃×#4029	C₂²	semidirect
92. C₃×#4027	C₂²	semidirect
93. C₃×#4027	C₂²	semidirect
94. C₃×#4027	C₂²	semidirect
100. C₃×#4025	C₂²	semidirect
101. C₃×#4025	C₂²	semidirect
102. C₃×#4025	C₂²	semidirect
103. C₃×#4024	C₂²	semidirect
104. C₃×#4023	C₂²	semidirect
105. C₃×#4023	C₂²	semidirect
106. C₃×#4022	C₂²	semidirect
107. C₃×#4021	C₂²	semidirect
108. C₃×C₄×D₂₀	C₂²	semidirect
109. C₃×C₄×D₂₀	C₂²	semidirect
110. C₃×#4018	C₂²	semidirect
111. C₃×#4018	C₂²	semidirect
117. C₃×C₄²×D₅	C₂²	semidirect
118. C₃×C₄²×D₅	C₂²	semidirect
119. C₃×C₄²×D₅	C₂²	semidirect
120. C₃×C₄²×D₅	C₂²	semidirect
121. C₃×#4016	C₂²	semidirect
122. C₃×C₄×Dic₁₀	C₂²	semidirect
123. C₃×C₄×Dic₁₀	C₂²	semidirect
125. C₅×#529	C₂×C₃	semidirect
126. #66040	C₂×C₃	semidirect
127. D₅×#126	C₂×C₃	semidirect
128. #66025	C₂×C₃	semidirect
129. D₅×#125	C₂×C₃	semidirect
130. #66014	C₂×C₃	semidirect
131. D₅×#124	C₂×C₃	semidirect
132. D₅×#123	C₂×C₃	semidirect
133. #65983	C₂×C₃	semidirect
134. D₅×C₂²⋊Q₈	C₂×C₃	semidirect
135. #65958	C₂×C₃	semidirect
137. #65934	C₂×C₃	semidirect
138. #65914	C₂×C₃	semidirect
139. C₄×Q₈×D₅	C₂×C₃	semidirect
140. #65891	C₂×C₃	semidirect
141. C₄×D₄×D₅	C₂×C₃	semidirect
142. C₄×D₄×D₅	C₂×C₃	semidirect
143. #65872	C₂×C₃	semidirect
144. #65862	C₂×C₃	semidirect
145. D₅×#117	C₂×C₃	semidirect
146. #65813	C₂×C₃	semidirect
147. C₂×C₄²×D₅	C₂×C₃	semidirect
265. C₃×#529	D₅	direct (N × H)
284. C₅×#126	C₂²×C₃	semidirect
285. C₅×#125	C₂²×C₃	semidirect
286. C₅×#124	C₂²×C₃	semidirect
287. C₅×#123	C₂²×C₃	semidirect
288. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
290. C₄×C₅×Q₈	C₂²×C₃	semidirect
291. C₄×C₅×D₄	C₂²×C₃	semidirect
292. C₄×C₅×D₄	C₂²×C₃	semidirect
293. C₅×#117	C₂²×C₃	semidirect
294. C₂×C₄²×C₅	C₂²×C₃	semidirect
295. #4093	C₂²×C₃	semidirect
296. #4092	C₂²×C₃	semidirect
297. Q₈×Dic₅	C₂²×C₃	semidirect
300. #4082	C₂²×C₃	semidirect
301. #4081	C₂²×C₃	semidirect
302. D₄×Dic₅	C₂²×C₃	semidirect
303. D₄×Dic₅	C₂²×C₃	semidirect
305. #4075	C₂²×C₃	semidirect
306. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
307. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
308. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
309. #4072	C₂²×C₃	semidirect
310. #4070	C₂²×C₃	semidirect
311. C₂×C₄×Dic₅	C₂²×C₃	semidirect
312. C₂×C₄×Dic₅	C₂²×C₃	semidirect
313. C₂×C₄×Dic₅	C₂²×C₃	semidirect
314. #4044	C₂²×C₃	semidirect
315. #4044	C₂²×C₃	semidirect
316. #4044	C₂²×C₃	semidirect
317. #4043	C₂²×C₃	semidirect
318. #4042	C₂²×C₃	semidirect
320. #4040	C₂²×C₃	semidirect
321. #4040	C₂²×C₃	semidirect
322. #4039	C₂²×C₃	semidirect
323. #4039	C₂²×C₃	semidirect
324. #4038	C₂²×C₃	semidirect
325. #4038	C₂²×C₃	semidirect
332. #4036	C₂²×C₃	semidirect
333. #4036	C₂²×C₃	semidirect
334. #4035	C₂²×C₃	semidirect
335. #4035	C₂²×C₃	semidirect
336. #4033	C₂²×C₃	semidirect
337. #4033	C₂²×C₃	semidirect
338. #4032	C₂²×C₃	semidirect
339. #4031	C₂²×C₃	semidirect
340. #4031	C₂²×C₃	semidirect
342. #4029	C₂²×C₃	semidirect
343. #4029	C₂²×C₃	semidirect
344. #4027	C₂²×C₃	semidirect
345. #4027	C₂²×C₃	semidirect
346. #4027	C₂²×C₃	semidirect
352. #4025	C₂²×C₃	semidirect
353. #4025	C₂²×C₃	semidirect
354. #4025	C₂²×C₃	semidirect
355. #4024	C₂²×C₃	semidirect
356. #4023	C₂²×C₃	semidirect
357. #4023	C₂²×C₃	semidirect
358. #4022	C₂²×C₃	semidirect
359. #4021	C₂²×C₃	semidirect
360. C₄×D₂₀	C₂²×C₃	semidirect
361. C₄×D₂₀	C₂²×C₃	semidirect
362. #4018	C₂²×C₃	semidirect
363. #4018	C₂²×C₃	semidirect
369. C₄²×D₅	C₂²×C₃	semidirect
370. C₄²×D₅	C₂²×C₃	semidirect
371. C₄²×D₅	C₂²×C₃	semidirect
372. C₄²×D₅	C₂²×C₃	semidirect
373. #4016	C₂²×C₃	semidirect
374. C₄×Dic₁₀	C₂²×C₃	semidirect
375. C₄×Dic₁₀	C₂²×C₃	semidirect
455. C₃×#126	C₂×D₅	semidirect
461. C₃×#125	C₂×D₅	semidirect
467. C₃×#124	C₂×D₅	semidirect
475. C₃×#123	C₂×D₅	semidirect
481. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
493. C₃×C₄×Q₈	C₂×D₅	semidirect
506. C₃×C₄×D₄	C₂×D₅	semidirect
507. C₃×C₄×D₄	C₂×D₅	semidirect
515. C₃×#117	C₂×D₅	semidirect
539. C₂×C₃×C₄²	C₂×D₅	semidirect
657. #529	C₃×D₅	direct (N × H)
889. #126	C₂×C₃×D₅	semidirect
895. #125	C₂×C₃×D₅	semidirect
901. #124	C₂×C₃×D₅	semidirect
909. #123	C₂×C₃×D₅	semidirect
915. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
927. C₄×Q₈	C₂×C₃×D₅	semidirect
940. C₄×D₄	C₂×C₃×D₅	semidirect
941. C₄×D₄	C₂×C₃×D₅	semidirect
949. #117	C₂×C₃×D₅	semidirect
973. C₂×C₄²	C₂×C₃×D₅	semidirect
981. C₃×D₅	#529	direct (N × H)
1188. C₃×C₅	C₂×#529	semidirect
1232. D₅	C₃×#529	direct (N × H)
1305. C₅	C₂×C₃×#529	semidirect
1342. C₃	D₅×#529	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×#529	2
C₃×#66040	2
C₃×D₅×#126	2
C₃×#66025	2
C₃×D₅×#125	2
C₃×#66014	2
C₃×D₅×#124	2
C₃×D₅×#123	2
C₃×#65983	2
C₃×D₅×C₂²⋊Q₈	2
C₃×#65958	2
C₃×D₅×#121	2
C₃×#65934	2
C₃×#65914	2
C₃×C₄×Q₈×D₅	2
C₃×#65891	2
C₃×C₄×D₄×D₅	2
C₃×#65872	2
C₃×#65862	2
C₃×D₅×#117	2
C₃×#65813	2
C₂×C₃×C₄²×D₅	2
D₅×#529	3
C₂×C₃×#529	5

Subgroups — C3×D5×#529 #14479764

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₅×#529 #14479764