Subgroups — C₃×#10617936 #14480642

Order 1920.

3112 conjugacy classes of subgroups.

The subgroup lattice has 1108 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₃×#709	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₅×#525	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#66162	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#66125	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#65987	C₂	1	2	yes	maximal, complemented
7	C₃×#65982	C₂	1	2	yes	maximal, complemented
8	C₃×#65963	C₂	1	2	yes	maximal, complemented
9	C₃×#65962	C₂	1	2	yes	maximal, complemented
10	C₃×#65942	C₂	1	2	yes	maximal, complemented
11	C₃×#65941	C₂	1	2	yes	maximal, complemented
12	C₃×#65926	C₂	1	2	yes	maximal, complemented
13	C₃×#65923	C₂	1	2	yes	maximal, complemented
14	C₃×#65882	C₂	1	4	yes	maximal, complemented
15	C₃×#65881	C₂	1	4	yes	maximal, complemented
16	C₃×#65858	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×D₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
18	#10617936	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
19	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic
20	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
22	C₂²×C₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
23	C₃×D₅×#41	—	2	8	no	—
24	C₂×C₃×#713	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₃×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×#711	C₂²	1	2	yes	—
27	C₂×C₃×#711	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
29	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₃×#709	—	2	8	no	—
31	C₂×C₃×#709	C₂²	1	1	yes	characteristic
32	C₂×C₃×#709	C₂²	1	2	yes	—
33	C₂×C₃×#709	C₂²	1	2	yes	—
34	C₂×C₃×#709	C₂²	1	2	yes	complemented
35	C₂×C₃×#709	C₂²	1	2	yes	complemented
36	C₂×C₃×#709	C₂²	1	2	yes	complemented
37	C₂²×C₃×D₂₀	C₂²	1	1	yes	characteristic
38	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
39	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
41	C₂²×C₃×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×#123	C₂²	1	2	yes	complemented
43	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
44	C₃×C₅×#121	C₂²	1	2	yes	complemented
45	C₃×C₅×#120	C₂²	1	2	yes	complemented
46	C₃×C₄×C₅×D₄	C₂²	1	4	yes	complemented
47	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
48	C₃×#4099	C₂²	1	2	yes	complemented
49	C₃×#4092	C₂²	1	2	yes	complemented
50	C₃×#4086	C₂²	1	4	yes	complemented
51	C₃×#4085	C₂²	1	4	yes	complemented
52	C₃×#4084	C₂²	1	4	yes	complemented
53	C₃×#4084	C₂²	1	2	yes	complemented
54	C₃×#4083	C₂²	1	4	yes	complemented
55	C₃×#4083	C₂²	1	2	yes	complemented
56	C₃×#4081	C₂²	1	2	yes	complemented
57	C₃×#4076	C₂²	1	2	yes	complemented
58	C₃×#4075	C₂²	1	2	yes	complemented
59	C₃×C₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
60	C₃×C₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
61	C₃×#4072	C₂²	1	1	yes	characteristic, complemented
62	C₃×#4070	C₂²	1	2	yes	complemented
63	C₃×#4043	C₂²	1	2	yes	complemented
64	C₃×#4042	C₂²	1	4	yes	complemented
65	C₃×#4041	C₂²	1	2	yes	complemented
66	C₃×#4041	C₂²	1	4	yes	complemented
67	C₃×#4040	C₂²	1	4	yes	complemented
68	C₃×#4038	C₂²	1	2	yes	complemented
69	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
70	C₃×#4034	C₂²	1	4	yes	complemented
71	C₃×#4032	C₂²	1	2	yes	complemented
72	C₃×#4031	C₂²	1	4	yes	complemented
73	C₃×#4031	C₂²	1	4	yes	complemented
74	C₃×#4030	C₂²	1	4	yes	complemented
75	C₃×#4030	C₂²	1	4	yes	complemented
76	C₃×#4030	C₂²	1	4	yes	complemented
77	C₃×#4029	C₂²	1	4	yes	complemented
78	C₃×#4028	C₂²	1	2	yes	complemented
79	C₃×#4028	C₂²	1	4	yes	complemented
80	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
81	C₃×#4024	C₂²	1	4	yes	complemented
82	C₃×#4023	C₂²	1	2	yes	complemented
83	C₃×C₄×D₂₀	C₂²	1	4	yes	complemented
84	C₃×#4018	C₂²	1	2	yes	complemented
85	C₃×C₄²×D₅	C₂²	1	2	yes	complemented
86	C₃×#3449	—	5	1	no	maximal, Hall
87	C₂×D₅×#41	C₂×C₃	1	1	yes	characteristic, complemented
88	C₂²×#709	C₂×C₃	1	1	yes	characteristic, complemented
89	C₅×#525	C₂×C₃	1	1	yes	characteristic, complemented
90	#66162	C₂×C₃	1	1	yes	characteristic, complemented
91	#66125	C₂×C₃	1	1	yes	characteristic, complemented
92	#65987	C₂×C₃	1	2	yes	complemented
93	#65982	C₂×C₃	1	2	yes	complemented
94	#65963	C₂×C₃	1	2	yes	complemented
95	#65962	C₂×C₃	1	2	yes	complemented
96	#65942	C₂×C₃	1	2	yes	complemented
97	#65941	C₂×C₃	1	2	yes	complemented
98	#65926	C₂×C₃	1	2	yes	complemented
99	#65923	C₂×C₃	1	2	yes	complemented
100	#65882	C₂×C₃	1	4	yes	complemented
101	#65881	C₂×C₃	1	4	yes	complemented
102	#65858	C₂×C₃	1	1	yes	characteristic, complemented
103	D₅×#117	C₂×C₃	1	1	yes	characteristic, complemented
104	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
105	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
106	C₂³×C₃×D₅	C₂³	1	2	yes	—
107	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
108	C₃×C₅×#41	—	2	4	no	—
109	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
110	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
111	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
112	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
113	C₂²×C₃×C₄×C₅	—	2	4	no	—
114	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
115	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
116	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
117	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
118	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
119	C₂×C₃×C₂²⋊D₅	—	2	4	no	—
120	C₂×C₃×C₂²⋊D₅	—	2	4	no	—
121	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
122	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
123	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
124	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
125	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
126	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
127	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
128	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
129	C₂×C₃×C₂²⋊D₅	C₂³	1	4	yes	—
130	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
131	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
132	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
133	C₃×#713	—	2	4	no	—
134	C₃×Q₈×D₅	—	2	4	no	—
135	C₃×#711	—	2	8	no	—
136	C₃×#711	—	2	4	no	—
137	C₃×D₄×D₅	—	2	8	no	—
138	C₃×D₄×D₅	—	2	4	no	—
139	C₃×#709	—	2	4	no	—
140	C₃×#709	—	2	8	no	—
141	C₃×#709	—	2	8	no	—
142	C₃×#709	—	2	8	no	—
143	C₃×#709	—	2	8	no	—
144	C₃×#709	—	2	8	no	—
145	C₂×C₃×D₂₀	—	2	4	no	—
146	C₂×C₃×D₂₀	C₂³	1	2	yes	—
147	C₂×C₃×D₂₀	C₂³	1	2	yes	—
148	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
149	C₂×C₃×D₂₀	C₂³	1	2	yes	—
150	C₂×C₃×D₂₀	C₂³	1	4	yes	—
151	C₂×C₃×C₄×D₅	—	2	4	no	—
152	C₂×C₃×C₄×D₅	—	2	8	no	—
153	C₂×C₃×C₄×D₅	D₄	1	8	yes	complemented
154	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
155	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
156	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
157	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
158	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
159	C₂×C₃×C₄×D₅	C₂³	1	4	yes	—
160	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
161	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
162	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
163	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
164	C₂×C₃×Dic₁₀	—	2	4	no	—
165	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
166	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
167	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
168	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
169	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
170	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
171	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
173	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
174	C₃×C₄²×C₅	C₂³	1	2	yes	—
175	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
176	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
177	C₃×C₂²⋊Dic₅	C₂³	1	4	yes	—
178	C₃×#685	C₂³	1	4	yes	—
179	C₃×#685	C₂³	1	4	yes	—
180	C₃×#685	C₂³	1	4	yes	—
181	C₃×#685	C₂³	1	4	yes	—
182	C₃×#685	C₂³	1	4	yes	—
183	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
184	C₃×C₄⋊Dic₅	C₂³	1	4	yes	—
185	C₃×#683	C₂³	1	4	yes	—
186	C₃×#683	C₂³	1	4	yes	—
187	C₃×#683	C₂³	1	4	yes	—
188	C₃×C₄×Dic₅	C₂³	1	4	yes	—
189	C₃×C₄×Dic₅	C₂³	1	2	yes	—
190	C₂²×C₃×#41	—	5	1	no	—
191	C₂²×C₃×#41	—	5	1	no	—
192	C₃×#537	—	5	2	no	—
193	C₃×#537	—	5	2	no	—
194	C₃×#536	—	5	2	no	—
195	C₃×#536	—	5	2	no	—
196	C₃×#535	—	5	2	no	—
197	C₃×#535	—	5	2	no	—
198	C₃×#534	—	5	2	no	—
199	C₃×#534	—	5	2	no	—
200	C₃×#532	—	5	4	no	—
201	C₃×#525	—	5	1	no	—
202	C₃×#525	—	5	1	no	—
203	C₃×#525	—	5	4	no	—
204	C₃×#525	—	5	1	no	—
205	C₃×#525	D₅	1	1	yes	characteristic, complemented
206	C₂×C₃×#117	—	5	1	no	—
207	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic
208	C₂³×C₄×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
209	C₂²×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
210	C₂²×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
211	D₅×#41	—	2	8	no	—
212	C₂×#713	C₂²×C₃	1	1	yes	characteristic, complemented
213	C₂×Q₈×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
214	C₂×#711	C₂²×C₃	1	2	yes	—
215	C₂×#711	C₂²×C₃	1	1	yes	characteristic, complemented
216	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
217	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
218	C₂×#709	—	2	8	no	—
219	C₂×#709	C₂²×C₃	1	1	yes	characteristic
220	C₂×#709	C₂²×C₃	1	2	yes	—
221	C₂×#709	C₂²×C₃	1	2	yes	—
222	C₂×#709	C₂²×C₃	1	2	yes	complemented
223	C₂×#709	C₂²×C₃	1	2	yes	complemented
224	C₂×#709	C₂²×C₃	1	2	yes	complemented
225	C₂²×D₂₀	C₂²×C₃	1	1	yes	characteristic
226	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
227	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
228	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
229	C₂²×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
230	C₅×#123	C₂²×C₃	1	2	yes	complemented
231	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
232	C₅×#121	C₂²×C₃	1	2	yes	complemented
233	C₅×#120	C₂²×C₃	1	2	yes	complemented
234	C₄×C₅×D₄	C₂²×C₃	1	4	yes	complemented
235	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
236	#4099	C₂²×C₃	1	2	yes	complemented
237	#4092	C₂²×C₃	1	2	yes	complemented
238	#4086	C₂²×C₃	1	4	yes	complemented
239	#4085	C₂²×C₃	1	4	yes	complemented
240	#4084	C₂²×C₃	1	4	yes	complemented
241	#4084	C₂²×C₃	1	2	yes	complemented
242	#4083	C₂²×C₃	1	4	yes	complemented
243	#4083	C₂²×C₃	1	2	yes	complemented
244	#4081	C₂²×C₃	1	2	yes	complemented
245	#4076	C₂²×C₃	1	2	yes	complemented
246	#4075	C₂²×C₃	1	2	yes	complemented
247	C₄×C₂²⋊D₅	C₂²×C₃	1	4	yes	complemented
248	C₄×C₂²⋊D₅	C₂²×C₃	1	4	yes	complemented
249	#4072	C₂²×C₃	1	1	yes	characteristic, complemented
250	#4070	C₂²×C₃	1	2	yes	complemented
251	#4043	C₂²×C₃	1	2	yes	complemented
252	#4042	C₂²×C₃	1	4	yes	complemented
253	#4041	C₂²×C₃	1	2	yes	complemented
254	#4041	C₂²×C₃	1	4	yes	complemented
255	#4040	C₂²×C₃	1	4	yes	complemented
256	#4038	C₂²×C₃	1	2	yes	complemented
257	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
258	#4034	C₂²×C₃	1	4	yes	complemented
259	#4032	C₂²×C₃	1	2	yes	complemented
260	#4031	C₂²×C₃	1	4	yes	complemented
261	#4031	C₂²×C₃	1	4	yes	complemented
262	#4030	C₂²×C₃	1	4	yes	complemented
263	#4030	C₂²×C₃	1	4	yes	complemented
264	#4030	C₂²×C₃	1	4	yes	complemented
265	#4029	C₂²×C₃	1	4	yes	complemented
266	#4028	C₂²×C₃	1	2	yes	complemented
267	#4028	C₂²×C₃	1	4	yes	complemented
268	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
269	#4024	C₂²×C₃	1	4	yes	complemented
270	#4023	C₂²×C₃	1	2	yes	complemented
271	C₄×D₂₀	C₂²×C₃	1	4	yes	complemented
272	#4018	C₂²×C₃	1	2	yes	complemented
273	C₄²×D₅	C₂²×C₃	1	2	yes	complemented
274	#3449	—	5	1	no	Sylow
275	C₂³×C₃×C₅	—	2	2	no	—
276	C₂³×C₃×C₅	—	4	2	no	—
277	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
278	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
279	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
280	C₂²×C₃×D₅	—	2	2	no	—
281	C₂²×C₃×D₅	—	2	4	no	—
282	C₂²×C₃×D₅	—	4	2	no	—
283	C₂²×C₃×D₅	—	4	4	no	—
284	C₂²×C₃×D₅	—	4	2	no	—
285	C₂²×C₃×D₅	C₂×D₄	1	4	yes	—
286	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
287	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
288	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
289	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
290	C₃×C₅×Q₈	—	2	2	no	—
291	C₃×C₅×D₄	—	2	4	no	—
292	C₃×C₅×D₄	—	2	2	no	—
293	C₃×C₅×D₄	—	4	4	no	—
294	C₂×C₃×C₄×C₅	—	2	2	no	—
295	C₂×C₃×C₄×C₅	—	2	4	no	—
296	C₂×C₃×C₄×C₅	—	2	4	no	—
297	C₂×C₃×C₄×C₅	—	2	4	no	—
298	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	—
299	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
300	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
301	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
302	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
303	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
304	C₃×C₂²⋊D₅	—	2	4	no	—
305	C₃×C₂²⋊D₅	—	2	4	no	—
306	C₃×C₂²⋊D₅	—	2	4	no	—
307	C₃×C₂²⋊D₅	—	2	4	no	—
308	C₃×C₂²⋊D₅	—	2	4	no	—
309	C₃×C₂²⋊D₅	—	2	4	no	—
310	C₃×C₂²⋊D₅	—	2	4	no	—
311	C₃×C₂²⋊D₅	—	4	4	no	—
312	C₃×C₂²⋊D₅	—	4	4	no	—
313	C₂×C₃×Dic₅	—	2	2	no	—
314	C₂×C₃×Dic₅	—	2	4	no	—
315	C₂×C₃×Dic₅	C₂×D₄	1	4	yes	—
316	C₂×C₃×Dic₅	C₂⁴	1	4	yes	—
317	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
318	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
319	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
320	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
321	C₃×D₂₀	—	2	4	no	—
322	C₃×D₂₀	—	2	4	no	—
323	C₃×D₂₀	—	2	4	no	—
324	C₃×D₂₀	—	2	2	no	—
325	C₃×D₂₀	—	4	4	no	—
326	C₃×C₄×D₅	—	2	4	no	—
327	C₃×C₄×D₅	—	2	4	no	—
328	C₃×C₄×D₅	—	2	4	no	—
329	C₃×C₄×D₅	—	2	4	no	—
330	C₃×C₄×D₅	—	2	4	no	—
331	C₃×C₄×D₅	—	4	4	no	—
332	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
333	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
334	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
335	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
336	C₃×Dic₁₀	—	2	2	no	—
337	C₃×Dic₁₀	—	2	4	no	—
338	C₃×Dic₁₀	—	2	4	no	—
339	C₃×Dic₁₀	—	2	4	no	—
340	C₂×C₃×#41	—	5	1	no	—
341	C₂×C₃×#41	—	5	2	no	—
342	C₂×C₃×#41	—	5	1	no	—
343	C₂×C₃×#41	—	5	2	no	—
344	C₂×C₃×#41	—	5	1	no	—
345	C₂×C₃×#41	—	5	2	no	—
346	C₂×C₃×#41	—	5	2	no	—
347	C₂×C₃×#41	—	5	2	no	—
348	C₂×C₃×#41	—	5	2	no	—
349	C₂×C₃×#41	—	10	8	no	—
350	C₂×C₃×#41	—	10	8	no	—
351	C₂×C₃×#41	C₂×D₅	1	1	yes	characteristic
352	C₂²×C₃×Q₈	—	5	1	no	—
353	C₂²×C₃×Q₈	—	5	1	no	—
354	C₂²×C₃×D₄	—	5	1	no	—
355	C₂²×C₃×D₄	—	5	1	no	—
356	C₂²×C₃×D₄	—	5	2	no	—
357	C₂²×C₃×D₄	—	5	1	no	—
358	C₂²×C₃×D₄	—	5	1	no	—
359	C₂³×C₃×C₄	—	5	1	no	—
360	C₂³×C₃×C₄	—	5	2	no	—
361	C₂³×C₃×C₄	—	5	1	no	—
362	C₂³×C₃×C₄	C₂×D₅	1	1	yes	characteristic, complemented
363	C₃×C₄⋊Q₈	—	5	4	no	—
364	C₃×#127	—	5	4	no	—
365	C₃×#124	—	5	4	no	—
366	C₃×#124	—	5	4	no	—
367	C₃×#123	—	5	2	no	—
368	C₃×#123	—	5	2	no	—
369	C₃×#123	—	5	4	no	—
370	C₃×#123	—	5	4	no	—
371	C₃×#123	—	5	2	no	—
372	C₃×#123	C₂×D₅	1	2	yes	complemented
373	C₃×C₂²⋊Q₈	—	5	2	no	—
374	C₃×C₂²⋊Q₈	—	5	2	no	—
375	C₃×C₂²⋊Q₈	—	5	4	no	—
376	C₃×C₂²⋊Q₈	—	5	2	no	—
377	C₃×C₂²⋊Q₈	—	5	4	no	—
378	C₃×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
379	C₃×#121	—	5	2	no	—
380	C₃×#121	—	5	4	no	—
381	C₃×#121	—	5	4	no	—
382	C₃×#121	—	5	2	no	—
383	C₃×#121	—	5	2	no	—
384	C₃×#121	—	5	4	no	—
385	C₃×#121	—	5	4	no	—
386	C₃×#121	—	5	4	no	—
387	C₃×#121	—	5	4	no	—
388	C₃×#121	C₂×D₅	1	2	yes	complemented
389	C₃×#120	—	5	2	no	—
390	C₃×#120	—	5	2	no	—
391	C₃×#120	—	5	4	no	—
392	C₃×#120	—	5	4	no	—
393	C₃×#120	—	5	2	no	—
394	C₃×#120	C₂×D₅	1	2	yes	complemented
395	C₃×C₄×D₄	—	5	4	no	—
396	C₃×C₄×D₄	—	5	4	no	—
397	C₃×C₄×D₄	—	5	4	no	—
398	C₃×C₄×D₄	C₂×D₅	1	4	yes	complemented
399	C₃×#117	—	5	1	no	—
400	C₃×#117	—	5	2	no	—
401	C₃×#117	—	5	2	no	—
402	C₃×#117	—	5	2	no	—
403	C₃×#117	C₂×D₅	1	1	yes	characteristic, complemented
404	C₂×C₃×C₄⋊C₄	—	5	2	no	—
405	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
406	C₂×C₃×C₄²	—	5	2	no	—
407	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
408	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
409	C₂³×D₅	C₂³×C₃	1	2	yes	—
410	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
411	C₅×#41	—	2	4	no	—
412	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
413	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
414	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
415	C₂×C₅×D₄	C₂³×C₃	1	4	yes	—
416	C₂²×C₄×C₅	—	2	4	no	—
417	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
418	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
419	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
420	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
421	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
422	C₂×C₂²⋊D₅	—	2	4	no	—
423	C₂×C₂²⋊D₅	—	2	4	no	—
424	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
425	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
426	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
427	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
428	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
429	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
430	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
431	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
432	C₂×C₂²⋊D₅	C₂³×C₃	1	4	yes	—
433	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
434	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
435	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
436	#713	—	2	4	no	—
437	Q₈×D₅	—	2	4	no	—
438	#711	—	2	8	no	—
439	#711	—	2	4	no	—
440	D₄×D₅	—	2	8	no	—
441	D₄×D₅	—	2	4	no	—
442	#709	—	2	4	no	—
443	#709	—	2	8	no	—
444	#709	—	2	8	no	—
445	#709	—	2	8	no	—
446	#709	—	2	8	no	—
447	#709	—	2	8	no	—
448	C₂×D₂₀	—	2	4	no	—
449	C₂×D₂₀	C₂³×C₃	1	2	yes	—
450	C₂×D₂₀	C₂³×C₃	1	2	yes	—
451	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
452	C₂×D₂₀	C₂³×C₃	1	2	yes	—
453	C₂×D₂₀	C₂³×C₃	1	4	yes	—
454	C₂×C₄×D₅	—	2	4	no	—
455	C₂×C₄×D₅	—	2	8	no	—
456	C₂×C₄×D₅	C₃×D₄	1	8	yes	complemented
457	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
458	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
459	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
460	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
461	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
462	C₂×C₄×D₅	C₂³×C₃	1	4	yes	—
463	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
464	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
465	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
466	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
467	C₂×Dic₁₀	—	2	4	no	—
468	C₂×Dic₁₀	C₂³×C₃	1	2	yes	—
469	C₂×Dic₁₀	C₂³×C₃	1	2	yes	—
470	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
471	C₂×Dic₁₀	C₂³×C₃	1	2	yes	—
472	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
473	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
474	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
475	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
476	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
477	C₄²×C₅	C₂³×C₃	1	2	yes	—
478	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
479	C₂²⋊Dic₅	C₂³×C₃	1	4	yes	—
480	C₂²⋊Dic₅	C₂³×C₃	1	4	yes	—
481	#685	C₂³×C₃	1	4	yes	—
482	#685	C₂³×C₃	1	4	yes	—
483	#685	C₂³×C₃	1	4	yes	—
484	#685	C₂³×C₃	1	4	yes	—
485	#685	C₂³×C₃	1	4	yes	—
486	C₄⋊Dic₅	C₂³×C₃	1	4	yes	—
487	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
488	#683	C₂³×C₃	1	4	yes	—
489	#683	C₂³×C₃	1	4	yes	—
490	#683	C₂³×C₃	1	4	yes	—
491	C₄×Dic₅	C₂³×C₃	1	2	yes	—
492	C₄×Dic₅	C₂³×C₃	1	4	yes	—
493	C₂²×#41	—	5	1	no	—
494	C₂²×#41	—	5	1	no	—
495	#537	—	5	2	no	—
496	#537	—	5	2	no	—
497	#536	—	5	2	no	—
498	#536	—	5	2	no	—
499	#535	—	5	2	no	—
500	#535	—	5	2	no	—
501	#534	—	5	2	no	—
502	#534	—	5	2	no	—
503	#532	—	5	4	no	—
504	#525	—	5	1	no	—
505	#525	—	5	1	no	—
506	#525	—	5	4	no	—
507	#525	—	5	1	no	—
508	#525	C₃×D₅	1	1	yes	characteristic, complemented
509	C₂×#117	—	5	1	no	—
510	C₂²×C₃×C₅	—	2	2	no	—
511	C₂²×C₃×C₅	—	2	2	no	—
512	C₂²×C₃×C₅	—	2	2	no	—
513	C₂²×C₃×C₅	—	2	2	no	—
514	C₂²×C₃×C₅	—	2	4	no	—
515	C₂²×C₃×C₅	—	2	2	no	—
516	C₂²×C₃×C₅	—	4	4	no	—
517	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
518	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
519	C₂×C₃×D₅	—	2	2	no	—
520	C₂×C₃×D₅	—	2	2	no	—
521	C₂×C₃×D₅	—	2	2	no	—
522	C₂×C₃×D₅	—	2	2	no	—
523	C₂×C₃×D₅	—	2	2	no	—
524	C₂×C₃×D₅	—	2	4	no	—
525	C₂×C₃×D₅	—	2	2	no	—
526	C₂×C₃×D₅	—	4	4	no	—
527	C₂×C₃×D₅	—	4	8	no	—
528	C₂×C₃×D₅	—	4	4	no	—
529	C₂×C₃×D₅	C₂²×D₄	1	2	yes	—
530	C₂×C₃×D₅	C₂²×D₄	1	2	yes	—
531	C₃×C₄×C₅	—	2	2	no	—
532	C₃×C₄×C₅	—	2	2	no	—
533	C₃×C₄×C₅	—	2	4	no	—
534	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
535	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
536	C₃×Dic₅	—	2	2	no	—
537	C₃×Dic₅	—	2	2	no	—
538	C₃×Dic₅	—	2	4	no	—
539	C₃×Dic₅	C₂²×D₄	1	2	yes	—
540	C₃×Dic₅	C₂²×D₄	1	2	yes	—
541	C₂⁴×C₃	—	5	1	no	—
542	C₂⁴×C₃	—	5	2	no	—
543	C₂⁴×C₃	—	5	1	no	—
544	C₂⁴×C₃	C₂²×D₅	1	1	yes	characteristic
545	C₃×#41	—	2	4	no	—
546	C₃×#41	—	10	8	no	—
547	C₃×#41	—	10	8	no	—
548	C₃×#41	—	10	8	no	—
549	C₃×#41	—	10	8	no	—
550	C₃×#41	—	10	8	no	—
551	C₃×#41	—	10	8	no	—
552	C₃×#41	—	10	4	no	—
553	C₃×#41	—	10	4	no	—
554	C₃×#41	—	10	4	no	—
555	C₂×C₃×Q₈	—	5	2	no	—
556	C₂×C₃×Q₈	—	5	1	no	—
557	C₂×C₃×Q₈	—	5	2	no	—
558	C₂×C₃×Q₈	—	5	2	no	—
559	C₂×C₃×Q₈	—	10	4	no	—
560	C₂×C₃×Q₈	—	10	4	no	—
561	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
562	C₂×C₃×D₄	—	5	2	no	—
563	C₂×C₃×D₄	—	5	2	no	—
564	C₂×C₃×D₄	—	5	2	no	—
565	C₂×C₃×D₄	—	5	2	no	—
566	C₂×C₃×D₄	—	5	2	no	—
567	C₂×C₃×D₄	—	5	2	no	—
568	C₂×C₃×D₄	—	5	2	no	—
569	C₂×C₃×D₄	—	5	4	no	—
570	C₂×C₃×D₄	—	5	4	no	—
571	C₂×C₃×D₄	—	5	2	no	—
572	C₂×C₃×D₄	—	5	2	no	—
573	C₂×C₃×D₄	—	5	2	no	—
574	C₂×C₃×D₄	—	5	1	no	—
575	C₂×C₃×D₄	—	5	4	no	—
576	C₂×C₃×D₄	—	10	4	no	—
577	C₂×C₃×D₄	—	10	4	no	—
578	C₂×C₃×D₄	—	10	4	no	—
579	C₂×C₃×D₄	—	10	8	no	—
580	C₂×C₃×D₄	—	10	4	no	—
581	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
582	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
583	C₂×C₃×D₄	C₂²×D₅	1	4	yes	—
584	C₂²×C₃×C₄	—	2	4	no	—
585	C₂²×C₃×C₄	—	5	1	no	—
586	C₂²×C₃×C₄	—	5	8	no	—
587	C₂²×C₃×C₄	—	5	1	no	—
588	C₂²×C₃×C₄	—	5	1	no	—
589	C₂²×C₃×C₄	—	5	1	no	—
590	C₂²×C₃×C₄	—	5	1	no	—
591	C₂²×C₃×C₄	—	5	2	no	—
592	C₂²×C₃×C₄	—	5	1	no	—
593	C₂²×C₃×C₄	—	5	2	no	—
594	C₂²×C₃×C₄	—	5	2	no	—
595	C₂²×C₃×C₄	—	5	2	no	—
596	C₂²×C₃×C₄	—	5	2	no	—
597	C₂²×C₃×C₄	—	5	2	no	—
598	C₂²×C₃×C₄	—	5	4	no	—
599	C₂²×C₃×C₄	—	10	8	no	—
600	C₂²×C₃×C₄	—	10	4	no	—
601	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
602	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
603	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
604	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
605	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
606	C₃×C₄⋊C₄	—	5	4	no	—
607	C₃×C₄⋊C₄	—	5	4	no	—
608	C₃×C₄⋊C₄	—	5	4	no	—
609	C₃×C₄⋊C₄	—	5	2	no	—
610	C₃×C₄⋊C₄	—	5	4	no	—
611	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
612	C₃×C₄⋊C₄	C₂²×D₅	1	4	yes	—
613	C₃×C₂²⋊C₄	—	5	2	no	—
614	C₃×C₂²⋊C₄	—	5	4	no	—
615	C₃×C₂²⋊C₄	—	5	4	no	—
616	C₃×C₂²⋊C₄	—	5	4	no	—
617	C₃×C₂²⋊C₄	—	5	4	no	—
618	C₃×C₂²⋊C₄	—	5	4	no	—
619	C₃×C₂²⋊C₄	—	5	4	no	—
620	C₃×C₂²⋊C₄	—	5	4	no	—
621	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
622	C₃×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
623	C₃×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
624	C₃×C₄²	—	5	4	no	—
625	C₃×C₄²	—	5	2	no	—
626	C₃×C₄²	C₂²×D₅	1	2	yes	—
627	C₂³×C₅	—	2	2	no	—
628	C₂³×C₅	—	4	2	no	—
629	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
630	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
631	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
632	C₂²×D₅	—	2	2	no	—
633	C₂²×D₅	—	2	4	no	—
634	C₂²×D₅	—	4	2	no	—
635	C₂²×D₅	—	4	4	no	—
636	C₂²×D₅	—	4	2	no	—
637	C₂²×D₅	C₂×C₃×D₄	1	4	yes	—
638	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
639	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
640	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
641	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
642	C₅×Q₈	—	2	2	no	—
643	C₅×D₄	—	2	4	no	—
644	C₅×D₄	—	2	2	no	—
645	C₅×D₄	—	4	4	no	—
646	C₂×C₄×C₅	—	2	2	no	—
647	C₂×C₄×C₅	—	2	4	no	—
648	C₂×C₄×C₅	—	2	4	no	—
649	C₂×C₄×C₅	—	2	4	no	—
650	C₂×C₄×C₅	C₂×C₃×D₄	1	4	yes	—
651	C₂×C₄×C₅	C₂⁴×C₃	1	4	yes	—
652	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
653	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
654	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
655	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
656	C₂²⋊D₅	—	2	4	no	—
657	C₂²⋊D₅	—	2	4	no	—
658	C₂²⋊D₅	—	2	4	no	—
659	C₂²⋊D₅	—	2	4	no	—
660	C₂²⋊D₅	—	2	4	no	—
661	C₂²⋊D₅	—	2	4	no	—
662	C₂²⋊D₅	—	2	4	no	—
663	C₂²⋊D₅	—	4	4	no	—
664	C₂²⋊D₅	—	4	4	no	—
665	C₂×Dic₅	—	2	2	no	—
666	C₂×Dic₅	—	2	4	no	—
667	C₂×Dic₅	C₂×C₃×D₄	1	4	yes	—
668	C₂×Dic₅	C₂⁴×C₃	1	4	yes	—
669	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
670	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
671	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
672	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
673	D₂₀	—	2	4	no	—
674	D₂₀	—	2	4	no	—
675	D₂₀	—	2	4	no	—
676	D₂₀	—	2	2	no	—
677	D₂₀	—	4	4	no	—
678	C₄×D₅	—	2	4	no	—
679	C₄×D₅	—	2	4	no	—
680	C₄×D₅	—	2	4	no	—
681	C₄×D₅	—	2	4	no	—
682	C₄×D₅	—	2	4	no	—
683	C₄×D₅	—	4	4	no	—
684	C₄×D₅	C₂×C₃×D₄	1	4	yes	—
685	C₄×D₅	C₂×C₃×D₄	1	4	yes	—
686	C₄×D₅	C₂×C₃×D₄	1	4	yes	—
687	C₄×D₅	C₂×C₃×D₄	1	4	yes	—
688	Dic₁₀	—	2	2	no	—
689	Dic₁₀	—	2	4	no	—
690	Dic₁₀	—	2	4	no	—
691	Dic₁₀	—	2	4	no	—
692	C₂×#41	—	5	1	no	—
693	C₂×#41	—	5	2	no	—
694	C₂×#41	—	5	1	no	—
695	C₂×#41	—	5	2	no	—
696	C₂×#41	—	5	1	no	—
697	C₂×#41	—	5	2	no	—
698	C₂×#41	—	5	2	no	—
699	C₂×#41	—	5	2	no	—
700	C₂×#41	—	5	2	no	—
701	C₂×#41	—	10	8	no	—
702	C₂×#41	—	10	8	no	—
703	C₂×#41	C₂×C₃×D₅	1	1	yes	characteristic
704	C₂²×Q₈	—	5	1	no	—
705	C₂²×Q₈	—	5	1	no	—
706	C₂²×D₄	—	5	1	no	—
707	C₂²×D₄	—	5	1	no	—
708	C₂²×D₄	—	5	2	no	—
709	C₂²×D₄	—	5	1	no	—
710	C₂²×D₄	—	5	1	no	—
711	C₂³×C₄	—	5	1	no	—
712	C₂³×C₄	—	5	2	no	—
713	C₂³×C₄	—	5	1	no	—
714	C₂³×C₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
715	C₄⋊Q₈	—	5	4	no	—
716	#127	—	5	4	no	—
717	#124	—	5	4	no	—
718	#124	—	5	4	no	—
719	#123	—	5	2	no	—
720	#123	—	5	2	no	—
721	#123	—	5	4	no	—
722	#123	—	5	4	no	—
723	#123	—	5	2	no	—
724	#123	C₂×C₃×D₅	1	2	yes	complemented
725	C₂²⋊Q₈	—	5	2	no	—
726	C₂²⋊Q₈	—	5	2	no	—
727	C₂²⋊Q₈	—	5	4	no	—
728	C₂²⋊Q₈	—	5	2	no	—
729	C₂²⋊Q₈	—	5	4	no	—
730	C₂²⋊Q₈	C₂×C₃×D₅	1	2	yes	complemented
731	#121	—	5	2	no	—
732	#121	—	5	4	no	—
733	#121	—	5	4	no	—
734	#121	—	5	2	no	—
735	#121	—	5	2	no	—
736	#121	—	5	4	no	—
737	#121	—	5	4	no	—
738	#121	—	5	4	no	—
739	#121	—	5	4	no	—
740	#121	C₂×C₃×D₅	1	2	yes	complemented
741	#120	—	5	2	no	—
742	#120	—	5	2	no	—
743	#120	—	5	4	no	—
744	#120	—	5	4	no	—
745	#120	—	5	2	no	—
746	#120	C₂×C₃×D₅	1	2	yes	complemented
747	C₄×D₄	—	5	4	no	—
748	C₄×D₄	—	5	4	no	—
749	C₄×D₄	—	5	4	no	—
750	C₄×D₄	C₂×C₃×D₅	1	4	yes	complemented
751	#117	—	5	1	no	—
752	#117	—	5	2	no	—
753	#117	—	5	2	no	—
754	#117	—	5	2	no	—
755	#117	C₂×C₃×D₅	1	1	yes	characteristic, complemented
756	C₂×C₄⋊C₄	—	5	2	no	—
757	C₂×C₂²⋊C₄	—	5	2	no	—
758	C₂×C₄²	—	5	2	no	—
759	C₂×C₃×C₅	—	2	2	no	—
760	C₂×C₃×C₅	—	4	2	no	—
761	C₂×C₃×C₅	—	4	2	no	—
762	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
763	C₂×C₃×C₅	#585	1	2	yes	—
764	C₃×D₅	—	2	2	no	—
765	C₃×D₅	—	2	2	no	—
766	C₃×D₅	—	4	2	no	—
767	C₃×D₅	—	4	2	no	—
768	C₂³×C₃	—	2	2	no	—
769	C₂³×C₃	—	4	2	no	—
770	C₂³×C₃	—	5	1	no	—
771	C₂³×C₃	—	5	1	no	—
772	C₂³×C₃	—	5	4	no	—
773	C₂³×C₃	—	5	2	no	—
774	C₂³×C₃	—	5	2	no	—
775	C₂³×C₃	—	10	4	no	—
776	C₂³×C₃	—	10	2	no	—
777	C₂³×C₃	—	20	2	no	—
778	C₂³×C₃	—	20	2	no	—
779	C₂³×C₃	—	20	4	no	—
780	C₂³×C₃	C₂³×D₅	1	2	yes	—
781	C₂³×C₃	C₂³×D₅	1	2	yes	—
782	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
783	C₃×Q₈	—	2	2	no	—
784	C₃×Q₈	—	10	4	no	—
785	C₃×Q₈	—	10	4	no	—
786	C₃×Q₈	—	10	4	no	—
787	C₃×Q₈	—	10	2	no	—
788	C₃×D₄	—	2	4	no	—
789	C₃×D₄	—	2	2	no	—
790	C₃×D₄	—	4	4	no	—
791	C₃×D₄	—	10	4	no	—
792	C₃×D₄	—	10	4	no	—
793	C₃×D₄	—	10	4	no	—
794	C₃×D₄	—	10	4	no	—
795	C₃×D₄	—	10	4	no	—
796	C₃×D₄	—	10	4	no	—
797	C₃×D₄	—	10	4	no	—
798	C₃×D₄	—	10	4	no	—
799	C₃×D₄	—	10	4	no	—
800	C₃×D₄	—	10	4	no	—
801	C₃×D₄	—	10	2	no	—
802	C₃×D₄	—	20	4	no	—
803	C₃×D₄	—	20	4	no	—
804	C₃×D₄	—	20	4	no	—
805	C₂×C₃×C₄	—	2	2	no	—
806	C₂×C₃×C₄	—	2	4	no	—
807	C₂×C₃×C₄	—	2	4	no	—
808	C₂×C₃×C₄	—	2	4	no	—
809	C₂×C₃×C₄	—	5	4	no	—
810	C₂×C₃×C₄	—	5	1	no	—
811	C₂×C₃×C₄	—	5	1	no	—
812	C₂×C₃×C₄	—	5	4	no	—
813	C₂×C₃×C₄	—	5	4	no	—
814	C₂×C₃×C₄	—	5	4	no	—
815	C₂×C₃×C₄	—	5	4	no	—
816	C₂×C₃×C₄	—	5	4	no	—
817	C₂×C₃×C₄	—	5	2	no	—
818	C₂×C₃×C₄	—	5	2	no	—
819	C₂×C₃×C₄	—	10	4	no	—
820	C₂×C₃×C₄	—	10	4	no	—
821	C₂×C₃×C₄	—	10	4	no	—
822	C₂×C₃×C₄	—	10	2	no	—
823	C₂×C₃×C₄	—	10	4	no	—
824	C₂×C₃×C₄	—	10	4	no	—
825	C₂×C₃×C₄	—	10	4	no	—
826	C₂×C₃×C₄	—	20	4	no	—
827	C₂×C₃×C₄	D₄×D₅	1	4	yes	—
828	C₂×C₃×C₄	C₂³×D₅	1	4	yes	—
829	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
830	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
831	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
832	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
833	C₂²×C₅	—	2	2	no	—
834	C₂²×C₅	—	2	2	no	—
835	C₂²×C₅	—	2	2	no	—
836	C₂²×C₅	—	2	2	no	—
837	C₂²×C₅	—	2	4	no	—
838	C₂²×C₅	—	2	2	no	—
839	C₂²×C₅	—	4	4	no	—
840	C₂²×C₅	C₂²×C₃×D₄	1	2	yes	—
841	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
842	C₂×D₅	—	2	2	no	—
843	C₂×D₅	—	2	2	no	—
844	C₂×D₅	—	2	2	no	—
845	C₂×D₅	—	2	2	no	—
846	C₂×D₅	—	2	2	no	—
847	C₂×D₅	—	2	4	no	—
848	C₂×D₅	—	2	2	no	—
849	C₂×D₅	—	4	4	no	—
850	C₂×D₅	—	4	8	no	—
851	C₂×D₅	—	4	4	no	—
852	C₂×D₅	C₂²×C₃×D₄	1	2	yes	—
853	C₂×D₅	C₂²×C₃×D₄	1	2	yes	—
854	C₄×C₅	—	2	2	no	—
855	C₄×C₅	—	2	2	no	—
856	C₄×C₅	—	2	4	no	—
857	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
858	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
859	Dic₅	—	2	2	no	—
860	Dic₅	—	2	2	no	—
861	Dic₅	—	2	4	no	—
862	Dic₅	C₂²×C₃×D₄	1	2	yes	—
863	Dic₅	C₂²×C₃×D₄	1	2	yes	—
864	C₂⁴	—	5	1	no	—
865	C₂⁴	—	5	2	no	—
866	C₂⁴	—	5	1	no	—
867	C₂⁴	C₂²×C₃×D₅	1	1	yes	characteristic
868	#41	—	2	4	no	—
869	#41	—	10	8	no	—
870	#41	—	10	8	no	—
871	#41	—	10	8	no	—
872	#41	—	10	8	no	—
873	#41	—	10	8	no	—
874	#41	—	10	8	no	—
875	#41	—	10	4	no	—
876	#41	—	10	4	no	—
877	#41	—	10	4	no	—
878	C₂×Q₈	—	5	2	no	—
879	C₂×Q₈	—	5	1	no	—
880	C₂×Q₈	—	5	2	no	—
881	C₂×Q₈	—	5	2	no	—
882	C₂×Q₈	—	10	4	no	—
883	C₂×Q₈	—	10	4	no	—
884	C₂×Q₈	C₂²×C₃×D₅	1	1	yes	characteristic
885	C₂×D₄	—	5	2	no	—
886	C₂×D₄	—	5	2	no	—
887	C₂×D₄	—	5	2	no	—
888	C₂×D₄	—	5	2	no	—
889	C₂×D₄	—	5	2	no	—
890	C₂×D₄	—	5	2	no	—
891	C₂×D₄	—	5	2	no	—
892	C₂×D₄	—	5	4	no	—
893	C₂×D₄	—	5	4	no	—
894	C₂×D₄	—	5	2	no	—
895	C₂×D₄	—	5	2	no	—
896	C₂×D₄	—	5	2	no	—
897	C₂×D₄	—	5	1	no	—
898	C₂×D₄	—	5	4	no	—
899	C₂×D₄	—	10	4	no	—
900	C₂×D₄	—	10	4	no	—
901	C₂×D₄	—	10	4	no	—
902	C₂×D₄	—	10	8	no	—
903	C₂×D₄	—	10	4	no	—
904	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
905	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
906	C₂×D₄	C₂²×C₃×D₅	1	4	yes	—
907	C₂²×C₄	—	2	4	no	—
908	C₂²×C₄	—	5	1	no	—
909	C₂²×C₄	—	5	8	no	—
910	C₂²×C₄	—	5	1	no	—
911	C₂²×C₄	—	5	1	no	—
912	C₂²×C₄	—	5	1	no	—
913	C₂²×C₄	—	5	1	no	—
914	C₂²×C₄	—	5	2	no	—
915	C₂²×C₄	—	5	1	no	—
916	C₂²×C₄	—	5	2	no	—
917	C₂²×C₄	—	5	2	no	—
918	C₂²×C₄	—	5	2	no	—
919	C₂²×C₄	—	5	2	no	—
920	C₂²×C₄	—	5	2	no	—
921	C₂²×C₄	—	5	4	no	—
922	C₂²×C₄	—	10	8	no	—
923	C₂²×C₄	—	10	4	no	—
924	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
925	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
926	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
927	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
928	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
929	C₄⋊C₄	—	5	4	no	—
930	C₄⋊C₄	—	5	2	no	—
931	C₄⋊C₄	—	5	4	no	—
932	C₄⋊C₄	—	5	4	no	—
933	C₄⋊C₄	—	5	4	no	—
934	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
935	C₄⋊C₄	C₂²×C₃×D₅	1	4	yes	—
936	C₂²⋊C₄	—	5	2	no	—
937	C₂²⋊C₄	—	5	4	no	—
938	C₂²⋊C₄	—	5	4	no	—
939	C₂²⋊C₄	—	5	4	no	—
940	C₂²⋊C₄	—	5	4	no	—
941	C₂²⋊C₄	—	5	4	no	—
942	C₂²⋊C₄	—	5	4	no	—
943	C₂²⋊C₄	—	5	4	no	—
944	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
945	C₂²⋊C₄	C₂²×C₃×D₅	1	4	yes	—
946	C₂²⋊C₄	C₂²×C₃×D₅	1	4	yes	—
947	C₄²	—	5	2	no	—
948	C₄²	—	5	4	no	—
949	C₄²	C₂²×C₃×D₅	1	2	yes	—
950	C₃×C₅	#3449	1	1	yes	characteristic, complemented, Hall
951	C₂²×C₃	—	2	2	no	—
952	C₂²×C₃	—	2	2	no	—
953	C₂²×C₃	—	2	2	no	—
954	C₂²×C₃	—	2	2	no	—
955	C₂²×C₃	—	2	4	no	—
956	C₂²×C₃	—	2	2	no	—
957	C₂²×C₃	—	4	4	no	—
958	C₂²×C₃	—	5	2	no	—
959	C₂²×C₃	—	5	2	no	—
960	C₂²×C₃	—	10	2	no	—
961	C₂²×C₃	—	10	2	no	—
962	C₂²×C₃	—	10	2	no	—
963	C₂²×C₃	—	10	2	no	—
964	C₂²×C₃	—	10	2	no	—
965	C₂²×C₃	—	10	4	no	—
966	C₂²×C₃	—	10	2	no	—
967	C₂²×C₃	—	20	4	no	—
968	C₂²×C₃	—	20	4	no	—
969	C₂²×C₃	—	20	8	no	—
970	C₂²×C₃	C₂×D₄×D₅	1	2	yes	—
971	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
972	C₃×C₄	—	2	2	no	—
973	C₃×C₄	—	2	2	no	—
974	C₃×C₄	—	2	4	no	—
975	C₃×C₄	—	5	2	no	—
976	C₃×C₄	—	5	2	no	—
977	C₃×C₄	—	10	2	no	—
978	C₃×C₄	—	10	2	no	—
979	C₃×C₄	—	10	4	no	—
980	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
981	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
982	C₂×C₅	—	2	2	no	—
983	C₂×C₅	—	4	2	no	—
984	C₂×C₅	—	4	2	no	—
985	C₂×C₅	C₂³×C₃×D₄	1	1	yes	characteristic
986	C₂×C₅	C₃×#585	1	2	yes	—
987	D₅	—	2	2	no	—
988	D₅	—	2	2	no	—
989	D₅	—	4	2	no	—
990	D₅	—	4	2	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	4	2	no	—
993	C₂³	—	5	1	no	—
994	C₂³	—	5	1	no	—
995	C₂³	—	5	4	no	—
996	C₂³	—	5	2	no	—
997	C₂³	—	5	2	no	—
998	C₂³	—	10	4	no	—
999	C₂³	—	10	2	no	—
1000	C₂³	—	20	2	no	—
1001	C₂³	—	20	2	no	—
1002	C₂³	—	20	4	no	—
1003	C₂³	C₂³×C₃×D₅	1	2	yes	—
1004	C₂³	C₂³×C₃×D₅	1	2	yes	—
1005	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1006	Q₈	—	2	2	no	—
1007	Q₈	—	10	4	no	—
1008	Q₈	—	10	4	no	—
1009	Q₈	—	10	4	no	—
1010	Q₈	—	10	2	no	—
1011	D₄	—	2	4	no	—
1012	D₄	—	2	2	no	—
1013	D₄	—	4	4	no	—
1014	D₄	—	10	4	no	—
1015	D₄	—	10	4	no	—
1016	D₄	—	10	4	no	—
1017	D₄	—	10	4	no	—
1018	D₄	—	10	4	no	—
1019	D₄	—	10	4	no	—
1020	D₄	—	10	4	no	—
1021	D₄	—	10	4	no	—
1022	D₄	—	10	4	no	—
1023	D₄	—	10	4	no	—
1024	D₄	—	10	2	no	—
1025	D₄	—	20	4	no	—
1026	D₄	—	20	4	no	—
1027	D₄	—	20	4	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	4	no	—
1030	C₂×C₄	—	2	4	no	—
1031	C₂×C₄	—	2	4	no	—
1032	C₂×C₄	—	5	4	no	—
1033	C₂×C₄	—	5	1	no	—
1034	C₂×C₄	—	5	1	no	—
1035	C₂×C₄	—	5	4	no	—
1036	C₂×C₄	—	5	4	no	—
1037	C₂×C₄	—	5	4	no	—
1038	C₂×C₄	—	5	4	no	—
1039	C₂×C₄	—	5	4	no	—
1040	C₂×C₄	—	5	2	no	—
1041	C₂×C₄	—	5	2	no	—
1042	C₂×C₄	—	10	4	no	—
1043	C₂×C₄	—	10	4	no	—
1044	C₂×C₄	—	10	4	no	—
1045	C₂×C₄	—	10	2	no	—
1046	C₂×C₄	—	10	4	no	—
1047	C₂×C₄	—	10	4	no	—
1048	C₂×C₄	—	10	4	no	—
1049	C₂×C₄	—	20	4	no	—
1050	C₂×C₄	C₃×D₄×D₅	1	4	yes	—
1051	C₂×C₄	C₂³×C₃×D₅	1	4	yes	—
1052	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1053	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1054	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1055	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1056	C₂×C₃	—	2	2	no	—
1057	C₂×C₃	—	4	2	no	—
1058	C₂×C₃	—	4	2	no	—
1059	C₂×C₃	—	10	2	no	—
1060	C₂×C₃	—	10	2	no	—
1061	C₂×C₃	—	20	2	no	—
1062	C₂×C₃	—	20	2	no	—
1063	C₂×C₃	C₂²×D₄×D₅	1	1	yes	characteristic
1064	C₂×C₃	#66283	1	2	yes	—
1065	C₅	C₃×#3449	1	1	yes	characteristic, complemented, Sylow
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	2	no	—
1068	C₂²	—	2	2	no	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	4	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	4	4	no	—
1073	C₂²	—	5	2	no	—
1074	C₂²	—	5	2	no	—
1075	C₂²	—	10	2	no	—
1076	C₂²	—	10	2	no	—
1077	C₂²	—	10	2	no	—
1078	C₂²	—	10	2	no	—
1079	C₂²	—	10	2	no	—
1080	C₂²	—	10	4	no	—
1081	C₂²	—	10	2	no	—
1082	C₂²	—	20	4	no	—
1083	C₂²	—	20	4	no	—
1084	C₂²	—	20	8	no	—
1085	C₂²	C₂×C₃×D₄×D₅	1	2	yes	—
1086	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1087	C₄	—	2	2	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	4	no	—
1090	C₄	—	5	2	no	—
1091	C₄	—	5	2	no	—
1092	C₄	—	10	2	no	—
1093	C₄	—	10	2	no	—
1094	C₄	—	10	4	no	—
1095	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1096	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1097	C₃	#10617936	1	1	yes	characteristic, direct product factor, Sylow
1098	C₂	—	2	2	no	—
1099	C₂	—	4	2	no	—
1100	C₂	—	4	2	no	—
1101	C₂	—	10	2	no	—
1102	C₂	—	10	2	no	—
1103	C₂	—	20	2	no	—
1104	C₂	—	20	2	no	—
1105	C₂	C₂²×C₃×D₄×D₅	1	1	yes	characteristic
1106	C₂	C₃×#66283	1	2	yes	—

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₃×C₅×#525	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#525	D₅
hypocenter	C₅	C₃×#3449
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#525

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₅×#41	C₂	semidirect
2. C₂²×C₃×#709	C₂	semidirect
3. C₃×C₅×#525	C₂	semidirect
4. C₃×#66162	C₂	semidirect
5. C₃×#66125	C₂	semidirect
6. C₃×#65987	C₂	semidirect
7. C₃×#65982	C₂	semidirect
8. C₃×#65963	C₂	semidirect
9. C₃×#65962	C₂	semidirect
10. C₃×#65942	C₂	semidirect
11. C₃×#65941	C₂	semidirect
12. C₃×#65926	C₂	semidirect
13. C₃×#65923	C₂	semidirect
14. C₃×#65882	C₂	semidirect
15. C₃×#65881	C₂	semidirect
16. C₃×#65858	C₂	semidirect
17. C₃×D₅×#117	C₂	semidirect
18. #10617936	C₃	direct (N × H)
20. C₂³×C₃×C₄×C₅	C₂²	semidirect
22. C₂²×C₃×C₂²⋊D₅	C₂²	semidirect
24. C₂×C₃×#713	C₂²	semidirect
25. C₂×C₃×Q₈×D₅	C₂²	semidirect
27. C₂×C₃×#711	C₂²	semidirect
29. C₂×C₃×D₄×D₅	C₂²	semidirect
34. C₂×C₃×#709	C₂²	semidirect
35. C₂×C₃×#709	C₂²	semidirect
36. C₂×C₃×#709	C₂²	semidirect
39. C₂²×C₃×C₄×D₅	C₂²	semidirect
40. C₂²×C₃×C₄×D₅	C₂²	semidirect
41. C₂²×C₃×Dic₁₀	C₂²	semidirect
42. C₃×C₅×#123	C₂²	semidirect
43. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
44. C₃×C₅×#121	C₂²	semidirect
45. C₃×C₅×#120	C₂²	semidirect
46. C₃×C₄×C₅×D₄	C₂²	semidirect
47. C₃×C₅×#117	C₂²	semidirect
48. C₃×#4099	C₂²	semidirect
49. C₃×#4092	C₂²	semidirect
50. C₃×#4086	C₂²	semidirect
51. C₃×#4085	C₂²	semidirect
52. C₃×#4084	C₂²	semidirect
53. C₃×#4084	C₂²	semidirect
54. C₃×#4083	C₂²	semidirect
55. C₃×#4083	C₂²	semidirect
56. C₃×#4081	C₂²	semidirect
57. C₃×#4076	C₂²	semidirect
58. C₃×#4075	C₂²	semidirect
59. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
60. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
61. C₃×#4072	C₂²	semidirect
62. C₃×#4070	C₂²	semidirect
63. C₃×#4043	C₂²	semidirect
64. C₃×#4042	C₂²	semidirect
65. C₃×#4041	C₂²	semidirect
66. C₃×#4041	C₂²	semidirect
67. C₃×#4040	C₂²	semidirect
68. C₃×#4038	C₂²	semidirect
69. C₃×D₅×C₄⋊C₄	C₂²	semidirect
70. C₃×#4034	C₂²	semidirect
71. C₃×#4032	C₂²	semidirect
72. C₃×#4031	C₂²	semidirect
73. C₃×#4031	C₂²	semidirect
74. C₃×#4030	C₂²	semidirect
75. C₃×#4030	C₂²	semidirect
76. C₃×#4030	C₂²	semidirect
77. C₃×#4029	C₂²	semidirect
78. C₃×#4028	C₂²	semidirect
79. C₃×#4028	C₂²	semidirect
81. C₃×#4024	C₂²	semidirect
82. C₃×#4023	C₂²	semidirect
83. C₃×C₄×D₂₀	C₂²	semidirect
84. C₃×#4018	C₂²	semidirect
85. C₃×C₄²×D₅	C₂²	semidirect
87. C₂×D₅×#41	C₂×C₃	semidirect
88. C₂²×#709	C₂×C₃	semidirect
89. C₅×#525	C₂×C₃	semidirect
90. #66162	C₂×C₃	semidirect
91. #66125	C₂×C₃	semidirect
92. #65987	C₂×C₃	semidirect
93. #65982	C₂×C₃	semidirect
94. #65963	C₂×C₃	semidirect
95. #65962	C₂×C₃	semidirect
96. #65942	C₂×C₃	semidirect
97. #65941	C₂×C₃	semidirect
98. #65926	C₂×C₃	semidirect
99. #65923	C₂×C₃	semidirect
100. #65882	C₂×C₃	semidirect
101. #65881	C₂×C₃	semidirect
102. #65858	C₂×C₃	semidirect
103. D₅×#117	C₂×C₃	semidirect
153. C₂×C₃×C₄×D₅	D₄	semidirect
205. C₃×#525	D₅	semidirect
208. C₂³×C₄×C₅	C₂²×C₃	semidirect
210. C₂²×C₂²⋊D₅	C₂²×C₃	semidirect
212. C₂×#713	C₂²×C₃	semidirect
213. C₂×Q₈×D₅	C₂²×C₃	semidirect
215. C₂×#711	C₂²×C₃	semidirect
217. C₂×D₄×D₅	C₂²×C₃	semidirect
222. C₂×#709	C₂²×C₃	semidirect
223. C₂×#709	C₂²×C₃	semidirect
224. C₂×#709	C₂²×C₃	semidirect
227. C₂²×C₄×D₅	C₂²×C₃	semidirect
228. C₂²×C₄×D₅	C₂²×C₃	semidirect
229. C₂²×Dic₁₀	C₂²×C₃	semidirect
230. C₅×#123	C₂²×C₃	semidirect
231. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
232. C₅×#121	C₂²×C₃	semidirect
233. C₅×#120	C₂²×C₃	semidirect
234. C₄×C₅×D₄	C₂²×C₃	semidirect
235. C₅×#117	C₂²×C₃	semidirect
236. #4099	C₂²×C₃	semidirect
237. #4092	C₂²×C₃	semidirect
238. #4086	C₂²×C₃	semidirect
239. #4085	C₂²×C₃	semidirect
240. #4084	C₂²×C₃	semidirect
241. #4084	C₂²×C₃	semidirect
242. #4083	C₂²×C₃	semidirect
243. #4083	C₂²×C₃	semidirect
244. #4081	C₂²×C₃	semidirect
245. #4076	C₂²×C₃	semidirect
246. #4075	C₂²×C₃	semidirect
247. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
248. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
249. #4072	C₂²×C₃	semidirect
250. #4070	C₂²×C₃	semidirect
251. #4043	C₂²×C₃	semidirect
252. #4042	C₂²×C₃	semidirect
253. #4041	C₂²×C₃	semidirect
254. #4041	C₂²×C₃	semidirect
255. #4040	C₂²×C₃	semidirect
256. #4038	C₂²×C₃	semidirect
257. D₅×C₄⋊C₄	C₂²×C₃	semidirect
258. #4034	C₂²×C₃	semidirect
259. #4032	C₂²×C₃	semidirect
260. #4031	C₂²×C₃	semidirect
261. #4031	C₂²×C₃	semidirect
262. #4030	C₂²×C₃	semidirect
263. #4030	C₂²×C₃	semidirect
264. #4030	C₂²×C₃	semidirect
265. #4029	C₂²×C₃	semidirect
266. #4028	C₂²×C₃	semidirect
267. #4028	C₂²×C₃	semidirect
269. #4024	C₂²×C₃	semidirect
270. #4023	C₂²×C₃	semidirect
271. C₄×D₂₀	C₂²×C₃	semidirect
272. #4018	C₂²×C₃	semidirect
273. C₄²×D₅	C₂²×C₃	semidirect
362. C₂³×C₃×C₄	C₂×D₅	semidirect
372. C₃×#123	C₂×D₅	semidirect
378. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
388. C₃×#121	C₂×D₅	semidirect
394. C₃×#120	C₂×D₅	semidirect
398. C₃×C₄×D₄	C₂×D₅	semidirect
403. C₃×#117	C₂×D₅	semidirect
456. C₂×C₄×D₅	C₃×D₄	semidirect
508. #525	C₃×D₅	semidirect
714. C₂³×C₄	C₂×C₃×D₅	semidirect
724. #123	C₂×C₃×D₅	semidirect
730. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
740. #121	C₂×C₃×D₅	semidirect
746. #120	C₂×C₃×D₅	semidirect
750. C₄×D₄	C₂×C₃×D₅	semidirect
755. #117	C₂×C₃×D₅	semidirect
950. C₃×C₅	#3449	semidirect
1065. C₅	C₃×#3449	semidirect
1097. C₃	#10617936	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×D₅×#41	2
C₂²×C₃×#709	2
C₃×C₅×#525	2
C₃×#66162	2
C₃×#66125	2
C₃×#65987	2
C₃×#65982	2
C₃×#65963	2
C₃×#65962	2
C₃×#65942	2
C₃×#65941	2
C₃×#65926	2
C₃×#65923	2
C₃×#65882	2
C₃×#65881	2
C₃×#65858	2
C₃×D₅×#117	2
#10617936	3
C₃×#3449	5

Subgroups — C3×#10617936 #14480642

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10617936 #14480642