Subgroups — C₃×#10617938 #14483034

Order 1920.

3296 conjugacy classes of subgroups.

The subgroup lattice has 1556 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×#66166	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×C₄×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#65989	C₂	1	2	yes	maximal, complemented
7	C₃×#65988	C₂	1	2	yes	maximal, complemented
8	C₃×#65967	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#65966	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#65965	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#65964	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#65946	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#65943	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#65933	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#65932	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#65925	C₂	1	2	yes	maximal, complemented
17	C₃×#65924	C₂	1	2	yes	maximal, complemented
18	C₃×#65882	C₂	1	2	yes	maximal, complemented
19	C₃×#65881	C₂	1	2	yes	maximal, complemented
20	C₃×#65881	C₂	1	2	yes	maximal, complemented
21	C₃×C₄×D₄×D₅	C₂	1	2	yes	maximal, complemented
22	C₃×#65858	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#65856	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617938	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃×C₂²⋊D₅	C₂²	1	1	yes	characteristic
28	C₂²×C₃×C₂²⋊D₅	C₂²	1	2	yes	complemented
29	C₃×D₅×#41	—	2	8	no	—
30	C₂×C₃×#713	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×#711	C₂²	1	2	yes	complemented
33	C₂×C₃×#711	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
35	C₂×C₃×D₄×D₅	C₂²	1	2	yes	complemented
36	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#709	—	2	8	no	—
38	C₂×C₃×#709	C₂²	1	1	yes	characteristic
39	C₂×C₃×#709	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×#709	C₂²	1	2	yes	complemented
41	C₂×C₃×#709	C₂²	1	2	yes	complemented
42	C₂×C₃×#709	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×#709	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₃×#709	C₂²	1	2	yes	complemented
45	C₂²×C₃×D₂₀	C₂²	1	1	yes	characteristic, complemented
46	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
48	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
49	C₂²×C₃×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
50	C₃×C₅×#123	C₂²	1	2	yes	complemented
51	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
54	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
55	C₃×C₅×#120	C₂²	1	2	yes	complemented
56	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
57	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
58	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
60	C₃×#4093	C₂²	1	1	yes	characteristic, complemented
61	C₃×#4090	C₂²	1	1	yes	characteristic, complemented
62	C₃×#4086	C₂²	1	2	yes	complemented
63	C₃×#4086	C₂²	1	1	yes	characteristic, complemented
64	C₃×#4085	C₂²	1	2	yes	complemented
65	C₃×#4085	C₂²	1	2	yes	complemented
66	C₃×#4085	C₂²	1	2	yes	complemented
67	C₃×#4085	C₂²	1	2	yes	complemented
68	C₃×#4084	C₂²	1	2	yes	complemented
69	C₃×#4083	C₂²	1	2	yes	complemented
70	C₃×#4083	C₂²	1	2	yes	complemented
71	C₃×#4082	C₂²	1	1	yes	characteristic, complemented
72	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
73	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
74	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
75	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
76	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
78	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
79	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
80	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
81	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
82	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
83	C₂×C₃×#685	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₃×#683	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
86	C₃×#4043	C₂²	1	1	yes	characteristic, complemented
87	C₃×#4043	C₂²	1	1	yes	characteristic, complemented
88	C₃×#4042	C₂²	1	2	yes	complemented
89	C₃×#4042	C₂²	1	2	yes	complemented
90	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
91	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
92	C₃×#4041	C₂²	1	2	yes	complemented
93	C₃×#4040	C₂²	1	2	yes	complemented
94	C₃×#4040	C₂²	1	2	yes	complemented
95	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
96	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
97	C₃×#4039	C₂²	1	2	yes	complemented
98	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
99	C₃×#4034	C₂²	1	2	yes	complemented
100	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
101	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
102	C₃×#4032	C₂²	1	2	yes	complemented
103	C₃×#4031	C₂²	1	2	yes	complemented
104	C₃×#4031	C₂²	1	2	yes	complemented
105	C₃×#4030	C₂²	1	2	yes	complemented
106	C₃×#4030	C₂²	1	2	yes	complemented
107	C₃×#4030	C₂²	1	2	yes	complemented
108	C₃×#4030	C₂²	1	2	yes	complemented
109	C₃×#4029	C₂²	1	2	yes	complemented
110	C₃×#4029	C₂²	1	2	yes	complemented
111	C₃×#4028	C₂²	1	2	yes	complemented
112	C₃×#4028	C₂²	1	2	yes	complemented
113	C₃×#4028	C₂²	1	2	yes	complemented
114	C₃×#4027	C₂²	1	2	yes	—
115	C₃×#4027	C₂²	1	2	yes	complemented
116	C₃×#4027	C₂²	1	2	yes	complemented
117	C₃×#4027	C₂²	1	2	yes	complemented
118	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
119	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₃×#4024	C₂²	1	2	yes	complemented
121	C₃×#4024	C₂²	1	2	yes	complemented
122	C₃×C₄×D₂₀	C₂²	1	2	yes	complemented
123	C₃×C₄×D₂₀	C₂²	1	2	yes	complemented
124	C₃×#4018	C₂²	1	2	yes	complemented
125	C₃×C₄²×D₅	C₂²	1	2	yes	complemented
126	C₃×D₄×#41	—	5	1	no	maximal, Hall
127	C₂×D₅×#41	C₂×C₃	1	1	yes	characteristic, complemented
128	C₂²×#709	C₂×C₃	1	1	yes	characteristic, complemented
129	C₅×#525	C₂×C₃	1	1	yes	characteristic, complemented
130	#66166	C₂×C₃	1	1	yes	characteristic, complemented
131	C₂×C₄×C₂²⋊D₅	C₂×C₃	1	1	yes	characteristic, complemented
132	#65989	C₂×C₃	1	2	yes	complemented
133	#65988	C₂×C₃	1	2	yes	complemented
134	#65967	C₂×C₃	1	1	yes	characteristic, complemented
135	#65966	C₂×C₃	1	1	yes	characteristic, complemented
136	#65965	C₂×C₃	1	1	yes	characteristic, complemented
137	#65964	C₂×C₃	1	1	yes	characteristic, complemented
138	#65946	C₂×C₃	1	1	yes	characteristic, complemented
139	#65943	C₂×C₃	1	1	yes	characteristic, complemented
140	#65933	C₂×C₃	1	1	yes	characteristic, complemented
141	#65932	C₂×C₃	1	1	yes	characteristic, complemented
142	#65925	C₂×C₃	1	2	yes	complemented
143	#65924	C₂×C₃	1	2	yes	complemented
144	#65882	C₂×C₃	1	2	yes	complemented
145	#65881	C₂×C₃	1	2	yes	complemented
146	#65881	C₂×C₃	1	2	yes	complemented
147	C₄×D₄×D₅	C₂×C₃	1	2	yes	complemented
148	#65858	C₂×C₃	1	1	yes	characteristic, complemented
149	#65856	C₂×C₃	1	1	yes	characteristic, complemented
150	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
151	C₂³×C₃×D₅	C₂³	1	2	yes	—
152	C₂³×C₃×D₅	C₂³	1	2	yes	—
153	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
154	C₃×C₅×#41	—	2	4	no	—
155	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
156	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
157	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
159	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
160	C₂²×C₃×C₄×C₅	—	2	4	no	—
161	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
162	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
163	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
164	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
165	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
166	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
167	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
168	C₂×C₃×C₂²⋊D₅	—	2	8	no	—
169	C₂×C₃×C₂²⋊D₅	—	2	4	no	—
170	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
171	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
172	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
173	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
174	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
175	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
176	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
177	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
178	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
179	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
180	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
181	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
182	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
183	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
184	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
185	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
186	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
187	C₃×#713	—	2	4	no	—
188	C₃×Q₈×D₅	—	2	4	no	—
189	C₃×#711	—	2	8	no	—
190	C₃×#711	—	2	4	no	—
191	C₃×D₄×D₅	—	2	8	no	—
192	C₃×D₄×D₅	—	2	8	no	—
193	C₃×D₄×D₅	—	2	4	no	—
194	C₃×#709	—	2	4	no	—
195	C₃×#709	—	2	8	no	—
196	C₃×#709	—	2	4	no	—
197	C₃×#709	—	2	8	no	—
198	C₃×#709	—	2	8	no	—
199	C₃×#709	—	2	4	no	—
200	C₃×#709	D₄	1	8	yes	complemented
201	C₂×C₃×D₂₀	—	2	4	no	—
202	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
203	C₂×C₃×D₂₀	C₂³	1	2	yes	—
204	C₂×C₃×D₂₀	C₂³	1	2	yes	—
205	C₂×C₃×D₂₀	C₂³	1	2	yes	—
206	C₂×C₃×D₂₀	C₂³	1	2	yes	—
207	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
208	C₂×C₃×C₄×D₅	—	2	4	no	—
209	C₂×C₃×C₄×D₅	—	2	8	no	—
210	C₂×C₃×C₄×D₅	—	2	8	no	—
211	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
214	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
215	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
216	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
217	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
219	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
220	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
221	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
222	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
223	C₂×C₃×Dic₁₀	—	2	4	no	—
224	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
225	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
226	C₂×C₃×Dic₁₀	C₂³	1	2	yes	—
227	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
228	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
231	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
232	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₃×C₄²×C₅	C₂³	1	2	yes	—
238	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
240	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
241	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
242	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
243	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₃×#685	C₂³	1	2	yes	—
245	C₃×#685	C₂³	1	2	yes	—
246	C₃×#685	C₂³	1	2	yes	—
247	C₃×#685	C₂³	1	2	yes	—
248	C₃×#685	C₂³	1	2	yes	—
249	C₃×#685	C₂³	1	2	yes	—
250	C₃×#685	C₂³	1	2	yes	—
251	C₃×#685	C₂³	1	2	yes	—
252	C₃×#685	C₂³	1	1	yes	characteristic
253	C₃×#685	C₂³	1	1	yes	characteristic
254	C₃×#685	C₂³	1	1	yes	characteristic
255	C₃×#685	C₂³	1	1	yes	characteristic
256	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
257	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
258	C₃×#683	C₂³	1	2	yes	—
259	C₃×#683	C₂³	1	2	yes	—
260	C₃×#683	C₂³	1	2	yes	—
261	C₃×#683	C₂³	1	2	yes	—
262	C₃×#683	C₂³	1	1	yes	characteristic
263	C₃×#683	C₂³	1	1	yes	characteristic
264	C₃×#683	C₂³	1	1	yes	characteristic
265	C₃×#683	C₂³	1	1	yes	characteristic
266	C₃×C₄×Dic₅	C₂³	1	2	yes	—
267	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
268	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
269	C₃×C₄×Dic₅	C₂³	1	2	yes	—
270	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
271	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
272	C₂²×C₃×#41	—	5	1	no	—
273	C₂²×C₃×#41	—	5	1	no	—
274	C₃×#550	—	5	1	no	—
275	C₃×D₄×Q₈	—	5	1	no	—
276	C₃×#548	—	5	1	no	—
277	C₃×#548	—	5	1	no	—
278	C₃×#547	—	5	2	no	—
279	C₃×#547	—	5	1	no	—
280	C₃×#546	—	5	2	no	—
281	C₃×#546	—	5	1	no	—
282	C₃×#546	—	5	1	no	—
283	C₃×#546	—	5	2	no	—
284	C₃×D₄²	—	5	1	no	—
285	C₃×D₄²	—	5	2	no	—
286	C₃×#532	—	5	1	no	—
287	C₃×#532	—	5	2	no	—
288	C₃×#525	—	5	2	no	—
289	C₃×#525	—	5	2	no	—
290	C₃×#525	—	5	1	no	—
291	C₃×#525	D₅	1	1	yes	characteristic, complemented
292	C₃×C₄×#41	—	5	1	no	—
293	C₂×C₃×C₄×D₄	—	5	1	no	—
294	C₂×C₃×C₄×D₄	—	5	2	no	—
295	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic, complemented
296	C₂³×C₄×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
297	C₂²×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
298	C₂²×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
299	D₅×#41	—	2	8	no	—
300	C₂×#713	C₂²×C₃	1	1	yes	characteristic, complemented
301	C₂×Q₈×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
302	C₂×#711	C₂²×C₃	1	2	yes	complemented
303	C₂×#711	C₂²×C₃	1	1	yes	characteristic, complemented
304	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
305	C₂×D₄×D₅	C₂²×C₃	1	2	yes	complemented
306	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
307	C₂×#709	—	2	8	no	—
308	C₂×#709	C₂²×C₃	1	1	yes	characteristic
309	C₂×#709	C₂²×C₃	1	1	yes	characteristic, complemented
310	C₂×#709	C₂²×C₃	1	2	yes	complemented
311	C₂×#709	C₂²×C₃	1	2	yes	complemented
312	C₂×#709	C₂²×C₃	1	1	yes	characteristic, complemented
313	C₂×#709	C₂²×C₃	1	1	yes	characteristic, complemented
314	C₂×#709	C₂²×C₃	1	2	yes	complemented
315	C₂²×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
316	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
317	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
318	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
319	C₂²×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
320	C₅×#123	C₂²×C₃	1	2	yes	complemented
321	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
322	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
323	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
324	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
325	C₅×#120	C₂²×C₃	1	2	yes	complemented
326	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
327	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
328	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
329	C₂×C₂²⋊Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
330	#4093	C₂²×C₃	1	1	yes	characteristic, complemented
331	#4090	C₂²×C₃	1	1	yes	characteristic, complemented
332	#4086	C₂²×C₃	1	2	yes	complemented
333	#4086	C₂²×C₃	1	1	yes	characteristic, complemented
334	#4085	C₂²×C₃	1	2	yes	complemented
335	#4085	C₂²×C₃	1	2	yes	complemented
336	#4085	C₂²×C₃	1	2	yes	complemented
337	#4085	C₂²×C₃	1	2	yes	complemented
338	#4084	C₂²×C₃	1	2	yes	complemented
339	#4083	C₂²×C₃	1	2	yes	complemented
340	#4083	C₂²×C₃	1	2	yes	complemented
341	#4082	C₂²×C₃	1	1	yes	characteristic, complemented
342	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
343	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
344	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
345	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
346	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
347	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
348	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
349	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
350	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
351	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
352	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
353	C₂×#685	C₂²×C₃	1	1	yes	characteristic, complemented
354	C₂×#683	C₂²×C₃	1	1	yes	characteristic, complemented
355	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
356	#4043	C₂²×C₃	1	1	yes	characteristic, complemented
357	#4043	C₂²×C₃	1	1	yes	characteristic, complemented
358	#4042	C₂²×C₃	1	2	yes	complemented
359	#4042	C₂²×C₃	1	2	yes	complemented
360	#4041	C₂²×C₃	1	1	yes	characteristic, complemented
361	#4041	C₂²×C₃	1	1	yes	characteristic, complemented
362	#4041	C₂²×C₃	1	2	yes	complemented
363	#4040	C₂²×C₃	1	2	yes	complemented
364	#4040	C₂²×C₃	1	2	yes	complemented
365	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
366	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
367	#4039	C₂²×C₃	1	2	yes	complemented
368	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
369	#4034	C₂²×C₃	1	2	yes	complemented
370	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
371	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
372	#4032	C₂²×C₃	1	2	yes	complemented
373	#4031	C₂²×C₃	1	2	yes	complemented
374	#4031	C₂²×C₃	1	2	yes	complemented
375	#4030	C₂²×C₃	1	2	yes	complemented
376	#4030	C₂²×C₃	1	2	yes	complemented
377	#4030	C₂²×C₃	1	2	yes	complemented
378	#4030	C₂²×C₃	1	2	yes	complemented
379	#4029	C₂²×C₃	1	2	yes	complemented
380	#4029	C₂²×C₃	1	2	yes	complemented
381	#4028	C₂²×C₃	1	2	yes	complemented
382	#4028	C₂²×C₃	1	2	yes	complemented
383	#4028	C₂²×C₃	1	2	yes	complemented
384	#4027	C₂²×C₃	1	2	yes	—
385	#4027	C₂²×C₃	1	2	yes	complemented
386	#4027	C₂²×C₃	1	2	yes	complemented
387	#4027	C₂²×C₃	1	2	yes	complemented
388	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
389	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
390	#4024	C₂²×C₃	1	2	yes	complemented
391	#4024	C₂²×C₃	1	2	yes	complemented
392	C₄×D₂₀	C₂²×C₃	1	2	yes	complemented
393	C₄×D₂₀	C₂²×C₃	1	2	yes	complemented
394	#4018	C₂²×C₃	1	2	yes	complemented
395	C₄²×D₅	C₂²×C₃	1	2	yes	complemented
396	D₄×#41	—	5	1	no	Sylow
397	C₂³×C₃×C₅	—	2	2	no	—
398	C₂³×C₃×C₅	—	2	2	no	—
399	C₂³×C₃×C₅	—	4	1	no	—
400	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
401	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
402	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
403	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
404	C₂²×C₃×D₅	—	2	2	no	—
405	C₂²×C₃×D₅	—	2	4	no	—
406	C₂²×C₃×D₅	—	2	4	no	—
407	C₂²×C₃×D₅	—	2	4	no	—
408	C₂²×C₃×D₅	—	2	4	no	—
409	C₂²×C₃×D₅	—	2	2	no	—
410	C₂²×C₃×D₅	—	4	2	no	—
411	C₂²×C₃×D₅	—	4	2	no	—
412	C₂²×C₃×D₅	—	4	1	no	—
413	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
414	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
415	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
416	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
417	C₃×C₅×Q₈	—	2	2	no	—
418	C₃×C₅×D₄	—	2	4	no	—
419	C₃×C₅×D₄	—	2	4	no	—
420	C₃×C₅×D₄	—	2	2	no	—
421	C₃×C₅×D₄	—	4	2	no	—
422	C₂×C₃×C₄×C₅	—	2	2	no	—
423	C₂×C₃×C₄×C₅	—	2	2	no	—
424	C₂×C₃×C₄×C₅	—	2	2	no	—
425	C₂×C₃×C₄×C₅	—	2	4	no	—
426	C₂×C₃×C₄×C₅	—	2	2	no	—
427	C₂×C₃×C₄×C₅	—	2	2	no	—
428	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	complemented
429	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
430	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
431	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
432	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
433	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
434	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
435	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
436	C₃×C₂²⋊D₅	—	2	4	no	—
437	C₃×C₂²⋊D₅	—	2	2	no	—
438	C₃×C₂²⋊D₅	—	2	4	no	—
439	C₃×C₂²⋊D₅	—	2	4	no	—
440	C₃×C₂²⋊D₅	—	2	2	no	—
441	C₃×C₂²⋊D₅	—	2	4	no	—
442	C₃×C₂²⋊D₅	—	2	4	no	—
443	C₃×C₂²⋊D₅	—	2	4	no	—
444	C₃×C₂²⋊D₅	—	2	2	no	—
445	C₃×C₂²⋊D₅	—	4	2	no	—
446	C₃×C₂²⋊D₅	C₂×D₄	1	8	yes	complemented
447	C₃×C₂²⋊D₅	#41	1	4	yes	complemented
448	C₂×C₃×Dic₅	—	2	2	no	—
449	C₂×C₃×Dic₅	—	2	4	no	—
450	C₂×C₃×Dic₅	—	2	4	no	—
451	C₂×C₃×Dic₅	—	2	2	no	—
452	C₂×C₃×Dic₅	—	4	1	no	—
453	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
454	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
455	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
456	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
457	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
458	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
459	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
460	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
461	C₃×D₂₀	—	2	4	no	—
462	C₃×D₂₀	—	2	4	no	—
463	C₃×D₂₀	—	2	4	no	—
464	C₃×D₂₀	—	2	2	no	—
465	C₃×D₂₀	—	4	2	no	—
466	C₃×D₂₀	C₂×D₄	1	4	yes	complemented
467	C₃×C₄×D₅	—	2	4	no	—
468	C₃×C₄×D₅	—	2	4	no	—
469	C₃×C₄×D₅	—	2	2	no	—
470	C₃×C₄×D₅	—	2	2	no	—
471	C₃×C₄×D₅	—	2	4	no	—
472	C₃×C₄×D₅	—	2	2	no	—
473	C₃×C₄×D₅	—	2	2	no	—
474	C₃×C₄×D₅	—	2	4	no	—
475	C₃×C₄×D₅	—	2	4	no	—
476	C₃×C₄×D₅	—	2	4	no	—
477	C₃×C₄×D₅	—	4	2	no	—
478	C₃×C₄×D₅	C₂×D₄	1	8	yes	complemented
479	C₃×Dic₁₀	—	2	2	no	—
480	C₃×Dic₁₀	—	2	4	no	—
481	C₃×Dic₁₀	—	2	4	no	—
482	C₃×Dic₁₀	C₂×D₄	1	4	yes	complemented
483	C₂×C₃×#41	—	5	1	no	—
484	C₂×C₃×#41	—	5	2	no	—
485	C₂×C₃×#41	—	5	1	no	—
486	C₂×C₃×#41	—	5	1	no	—
487	C₂×C₃×#41	—	5	2	no	—
488	C₂×C₃×#41	—	5	2	no	—
489	C₂×C₃×#41	—	5	1	no	—
490	C₂×C₃×#41	—	5	1	no	—
491	C₂×C₃×#41	—	5	2	no	—
492	C₂×C₃×#41	—	5	1	no	—
493	C₂×C₃×#41	—	10	8	no	—
494	C₂×C₃×#41	—	10	8	no	—
495	C₂×C₃×#41	C₂×D₅	1	1	yes	characteristic, complemented
496	C₂²×C₃×Q₈	—	5	1	no	—
497	C₂²×C₃×Q₈	—	5	1	no	—
498	C₂²×C₃×D₄	—	5	2	no	—
499	C₂²×C₃×D₄	—	5	1	no	—
500	C₂²×C₃×D₄	—	5	2	no	—
501	C₂²×C₃×D₄	—	5	1	no	—
502	C₂²×C₃×D₄	—	5	2	no	—
503	C₂²×C₃×D₄	—	5	1	no	—
504	C₂³×C₃×C₄	—	5	2	no	—
505	C₂³×C₃×C₄	—	5	2	no	—
506	C₂³×C₃×C₄	—	5	1	no	—
507	C₂³×C₃×C₄	C₂×D₅	1	1	yes	characteristic, complemented
508	C₃×C₄⋊Q₈	—	5	1	no	—
509	C₃×C₄⋊Q₈	—	5	2	no	—
510	C₃×#127	—	5	2	no	—
511	C₃×#127	—	5	1	no	—
512	C₃×#124	—	5	1	no	—
513	C₃×#124	—	5	1	no	—
514	C₃×#124	—	5	2	no	—
515	C₃×#124	—	5	2	no	—
516	C₃×#123	—	5	2	no	—
517	C₃×#123	—	5	2	no	—
518	C₃×#123	—	5	2	no	—
519	C₃×#123	—	5	2	no	—
520	C₃×#123	—	5	2	no	—
521	C₃×#123	C₂×D₅	1	2	yes	complemented
522	C₃×C₂²⋊Q₈	—	5	2	no	—
523	C₃×C₂²⋊Q₈	—	5	2	no	—
524	C₃×C₂²⋊Q₈	—	5	1	no	—
525	C₃×C₂²⋊Q₈	—	5	1	no	—
526	C₃×C₂²⋊Q₈	—	5	2	no	—
527	C₃×C₂²⋊Q₈	—	5	2	no	—
528	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
529	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
530	C₃×#121	—	5	2	no	—
531	C₃×#121	—	5	2	no	—
532	C₃×#121	—	5	2	no	—
533	C₃×#121	—	5	2	no	—
534	C₃×#121	—	5	2	no	—
535	C₃×#121	—	5	1	no	—
536	C₃×#121	—	5	1	no	—
537	C₃×#121	—	5	2	no	—
538	C₃×#121	—	5	2	no	—
539	C₃×#121	—	5	2	no	—
540	C₃×#121	—	5	2	no	—
541	C₃×#121	—	5	2	no	—
542	C₃×#121	C₂×D₅	1	1	yes	characteristic, complemented
543	C₃×#121	C₂×D₅	1	1	yes	characteristic, complemented
544	C₃×#120	—	5	2	no	—
545	C₃×#120	—	5	2	no	—
546	C₃×#120	—	5	2	no	—
547	C₃×#120	—	5	2	no	—
548	C₃×#120	—	5	2	no	—
549	C₃×#120	C₂×D₅	1	2	yes	complemented
550	C₃×C₄×Q₈	—	5	1	no	—
551	C₃×C₄×Q₈	—	5	1	no	—
552	C₃×C₄×D₄	—	5	2	no	—
553	C₃×C₄×D₄	—	5	1	no	—
554	C₃×C₄×D₄	—	5	1	no	—
555	C₃×C₄×D₄	—	5	1	no	—
556	C₃×C₄×D₄	—	5	2	no	—
557	C₃×C₄×D₄	—	5	1	no	—
558	C₃×C₄×D₄	—	5	1	no	—
559	C₃×C₄×D₄	—	5	1	no	—
560	C₃×C₄×D₄	—	5	1	no	—
561	C₃×C₄×D₄	—	5	1	no	—
562	C₃×C₄×D₄	—	5	2	no	—
563	C₃×C₄×D₄	—	5	2	no	—
564	C₃×C₄×D₄	—	5	1	no	—
565	C₃×C₄×D₄	—	5	1	no	—
566	C₃×C₄×D₄	—	5	2	no	—
567	C₃×C₄×D₄	—	5	2	no	—
568	C₃×C₄×D₄	—	5	2	no	—
569	C₃×C₄×D₄	—	5	2	no	—
570	C₃×C₄×D₄	—	5	2	no	—
571	C₃×C₄×D₄	—	5	2	no	—
572	C₃×C₄×D₄	C₂×D₅	1	2	yes	complemented
573	C₃×C₄×D₄	C₂×D₅	1	2	yes	complemented
574	C₃×#117	—	5	2	no	—
575	C₃×#117	C₂×D₅	1	1	yes	characteristic, complemented
576	C₂×C₃×C₄⋊C₄	—	5	1	no	—
577	C₂×C₃×C₄⋊C₄	—	5	2	no	—
578	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
579	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
580	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
581	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
582	C₂×C₃×C₄²	—	5	1	no	—
583	C₂×C₃×C₄²	—	5	2	no	—
584	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
585	C₂³×D₅	C₂³×C₃	1	2	yes	—
586	C₂³×D₅	C₂³×C₃	1	2	yes	—
587	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
588	C₅×#41	—	2	4	no	—
589	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
590	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
591	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
592	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
593	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
594	C₂²×C₄×C₅	—	2	4	no	—
595	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
596	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
597	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
598	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
599	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
600	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
601	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
602	C₂×C₂²⋊D₅	—	2	8	no	—
603	C₂×C₂²⋊D₅	—	2	4	no	—
604	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
605	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
606	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
607	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
608	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
609	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
610	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
611	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
612	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
613	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
614	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
615	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
616	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
617	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
618	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
619	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
620	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
621	#713	—	2	4	no	—
622	Q₈×D₅	—	2	4	no	—
623	#711	—	2	8	no	—
624	#711	—	2	4	no	—
625	D₄×D₅	—	2	8	no	—
626	D₄×D₅	—	2	8	no	—
627	D₄×D₅	—	2	4	no	—
628	#709	—	2	4	no	—
629	#709	—	2	8	no	—
630	#709	—	2	4	no	—
631	#709	—	2	8	no	—
632	#709	—	2	8	no	—
633	#709	—	2	4	no	—
634	#709	C₃×D₄	1	8	yes	complemented
635	C₂×D₂₀	—	2	4	no	—
636	C₂×D₂₀	C₂³×C₃	1	2	yes	—
637	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
638	C₂×D₂₀	C₂³×C₃	1	2	yes	—
639	C₂×D₂₀	C₂³×C₃	1	2	yes	—
640	C₂×D₂₀	C₂³×C₃	1	2	yes	—
641	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
642	C₂×C₄×D₅	—	2	4	no	—
643	C₂×C₄×D₅	—	2	8	no	—
644	C₂×C₄×D₅	—	2	8	no	—
645	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
646	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
647	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
648	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
649	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
650	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
651	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
652	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
653	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
654	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
655	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
656	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
657	C₂×Dic₁₀	—	2	4	no	—
658	C₂×Dic₁₀	C₂³×C₃	1	2	yes	—
659	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
660	C₂×Dic₁₀	C₂³×C₃	1	2	yes	—
661	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
662	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
663	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
664	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
665	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
666	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
667	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
668	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
669	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
670	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
671	C₄²×C₅	C₂³×C₃	1	2	yes	—
672	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
673	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
674	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
675	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
676	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
677	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
678	#685	C₂³×C₃	1	2	yes	—
679	#685	C₂³×C₃	1	2	yes	—
680	#685	C₂³×C₃	1	2	yes	—
681	#685	C₂³×C₃	1	2	yes	—
682	#685	C₂³×C₃	1	2	yes	—
683	#685	C₂³×C₃	1	2	yes	—
684	#685	C₂³×C₃	1	1	yes	characteristic
685	#685	C₂³×C₃	1	2	yes	—
686	#685	C₂³×C₃	1	1	yes	characteristic
687	#685	C₂³×C₃	1	2	yes	—
688	#685	C₂³×C₃	1	1	yes	characteristic
689	#685	C₂³×C₃	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
691	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
692	#683	C₂³×C₃	1	2	yes	—
693	#683	C₂³×C₃	1	2	yes	—
694	#683	C₂³×C₃	1	1	yes	characteristic
695	#683	C₂³×C₃	1	2	yes	—
696	#683	C₂³×C₃	1	2	yes	—
697	#683	C₂³×C₃	1	1	yes	characteristic
698	#683	C₂³×C₃	1	1	yes	characteristic
699	#683	C₂³×C₃	1	1	yes	characteristic
700	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
701	C₄×Dic₅	C₂³×C₃	1	2	yes	—
702	C₄×Dic₅	C₂³×C₃	1	2	yes	—
703	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
704	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
705	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
706	C₂²×#41	—	5	1	no	—
707	C₂²×#41	—	5	1	no	—
708	#550	—	5	1	no	—
709	D₄×Q₈	—	5	1	no	—
710	#548	—	5	1	no	—
711	#548	—	5	1	no	—
712	#547	—	5	2	no	—
713	#547	—	5	1	no	—
714	#546	—	5	2	no	—
715	#546	—	5	1	no	—
716	#546	—	5	1	no	—
717	#546	—	5	2	no	—
718	D₄²	—	5	1	no	—
719	D₄²	—	5	2	no	—
720	#532	—	5	1	no	—
721	#532	—	5	2	no	—
722	#525	—	5	2	no	—
723	#525	—	5	2	no	—
724	#525	—	5	1	no	—
725	#525	C₃×D₅	1	1	yes	characteristic, complemented
726	C₄×#41	—	5	1	no	—
727	C₂×C₄×D₄	—	5	1	no	—
728	C₂×C₄×D₄	—	5	2	no	—
729	C₂²×C₃×C₅	—	2	1	no	—
730	C₂²×C₃×C₅	—	2	1	no	—
731	C₂²×C₃×C₅	—	2	1	no	—
732	C₂²×C₃×C₅	—	2	1	no	—
733	C₂²×C₃×C₅	—	2	2	no	—
734	C₂²×C₃×C₅	—	2	1	no	—
735	C₂²×C₃×C₅	—	2	1	no	—
736	C₂²×C₃×C₅	—	2	2	no	—
737	C₂²×C₃×C₅	—	2	2	no	—
738	C₂²×C₃×C₅	—	2	1	no	—
739	C₂²×C₃×C₅	—	4	4	no	—
740	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
741	C₂²×C₃×C₅	C₂×#41	1	2	yes	complemented
742	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
743	C₂×C₃×D₅	—	2	1	no	—
744	C₂×C₃×D₅	—	2	2	no	—
745	C₂×C₃×D₅	—	2	2	no	—
746	C₂×C₃×D₅	—	2	1	no	—
747	C₂×C₃×D₅	—	2	1	no	—
748	C₂×C₃×D₅	—	2	2	no	—
749	C₂×C₃×D₅	—	2	2	no	—
750	C₂×C₃×D₅	—	2	1	no	—
751	C₂×C₃×D₅	—	2	1	no	—
752	C₂×C₃×D₅	—	2	2	no	—
753	C₂×C₃×D₅	—	4	8	no	—
754	C₂×C₃×D₅	—	4	4	no	—
755	C₂×C₃×D₅	—	4	8	no	—
756	C₂×C₃×D₅	C₂²×D₄	1	4	yes	—
757	C₂×C₃×D₅	C₂×#41	1	2	yes	complemented
758	C₃×C₄×C₅	—	2	1	no	—
759	C₃×C₄×C₅	—	2	2	no	—
760	C₃×C₄×C₅	—	2	1	no	—
761	C₃×C₄×C₅	—	2	2	no	—
762	C₃×C₄×C₅	—	2	2	no	—
763	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
764	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
765	C₃×Dic₅	—	2	2	no	—
766	C₃×Dic₅	—	2	1	no	—
767	C₃×Dic₅	—	2	1	no	—
768	C₃×Dic₅	—	2	1	no	—
769	C₃×Dic₅	—	2	1	no	—
770	C₃×Dic₅	—	2	1	no	—
771	C₃×Dic₅	C₂²×D₄	1	4	yes	—
772	C₃×Dic₅	C₂×#41	1	2	yes	complemented
773	C₂⁴×C₃	—	5	2	no	—
774	C₂⁴×C₃	—	5	1	no	—
775	C₂⁴×C₃	—	5	2	no	—
776	C₂⁴×C₃	C₂²×D₅	1	1	yes	characteristic
777	C₃×#41	—	2	4	no	—
778	C₃×#41	—	5	8	no	—
779	C₃×#41	—	10	8	no	—
780	C₃×#41	—	10	8	no	—
781	C₃×#41	—	10	8	no	—
782	C₃×#41	—	10	4	no	—
783	C₃×#41	—	10	4	no	—
784	C₃×#41	—	10	8	no	—
785	C₃×#41	—	10	4	no	—
786	C₃×#41	—	10	4	no	—
787	C₃×#41	—	10	4	no	—
788	C₂×C₃×Q₈	—	5	1	no	—
789	C₂×C₃×Q₈	—	5	2	no	—
790	C₂×C₃×Q₈	—	5	2	no	—
791	C₂×C₃×Q₈	—	5	1	no	—
792	C₂×C₃×Q₈	—	10	4	no	—
793	C₂×C₃×Q₈	—	10	4	no	—
794	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
795	C₂×C₃×D₄	—	5	1	no	—
796	C₂×C₃×D₄	—	5	2	no	—
797	C₂×C₃×D₄	—	5	1	no	—
798	C₂×C₃×D₄	—	5	1	no	—
799	C₂×C₃×D₄	—	5	2	no	—
800	C₂×C₃×D₄	—	5	1	no	—
801	C₂×C₃×D₄	—	5	2	no	—
802	C₂×C₃×D₄	—	5	2	no	—
803	C₂×C₃×D₄	—	5	2	no	—
804	C₂×C₃×D₄	—	5	2	no	—
805	C₂×C₃×D₄	—	5	2	no	—
806	C₂×C₃×D₄	—	5	2	no	—
807	C₂×C₃×D₄	—	5	1	no	—
808	C₂×C₃×D₄	—	5	2	no	—
809	C₂×C₃×D₄	—	5	2	no	—
810	C₂×C₃×D₄	—	5	2	no	—
811	C₂×C₃×D₄	—	5	1	no	—
812	C₂×C₃×D₄	—	5	2	no	—
813	C₂×C₃×D₄	—	10	4	no	—
814	C₂×C₃×D₄	—	10	8	no	—
815	C₂×C₃×D₄	—	10	8	no	—
816	C₂×C₃×D₄	—	10	4	no	—
817	C₂×C₃×D₄	—	10	4	no	—
818	C₂×C₃×D₄	—	10	8	no	—
819	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
820	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
821	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
822	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
823	C₂²×C₃×C₄	—	2	4	no	—
824	C₂²×C₃×C₄	—	5	2	no	—
825	C₂²×C₃×C₄	—	5	1	no	—
826	C₂²×C₃×C₄	—	5	1	no	—
827	C₂²×C₃×C₄	—	5	2	no	—
828	C₂²×C₃×C₄	—	5	2	no	—
829	C₂²×C₃×C₄	—	5	1	no	—
830	C₂²×C₃×C₄	—	5	2	no	—
831	C₂²×C₃×C₄	—	5	2	no	—
832	C₂²×C₃×C₄	—	5	2	no	—
833	C₂²×C₃×C₄	—	5	2	no	—
834	C₂²×C₃×C₄	—	5	1	no	—
835	C₂²×C₃×C₄	—	5	2	no	—
836	C₂²×C₃×C₄	—	5	1	no	—
837	C₂²×C₃×C₄	—	5	1	no	—
838	C₂²×C₃×C₄	—	5	1	no	—
839	C₂²×C₃×C₄	—	5	2	no	—
840	C₂²×C₃×C₄	—	5	2	no	—
841	C₂²×C₃×C₄	—	10	8	no	—
842	C₂²×C₃×C₄	—	10	8	no	—
843	C₂²×C₃×C₄	—	10	4	no	—
844	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
845	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
846	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
847	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
848	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
849	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
850	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
851	C₃×C₄⋊C₄	—	5	1	no	—
852	C₃×C₄⋊C₄	—	5	2	no	—
853	C₃×C₄⋊C₄	—	5	1	no	—
854	C₃×C₄⋊C₄	—	5	1	no	—
855	C₃×C₄⋊C₄	—	5	1	no	—
856	C₃×C₄⋊C₄	—	5	2	no	—
857	C₃×C₄⋊C₄	—	5	2	no	—
858	C₃×C₄⋊C₄	—	5	2	no	—
859	C₃×C₄⋊C₄	—	5	2	no	—
860	C₃×C₄⋊C₄	—	5	2	no	—
861	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
862	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
863	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
864	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
865	C₃×C₂²⋊C₄	—	5	1	no	—
866	C₃×C₂²⋊C₄	—	5	1	no	—
867	C₃×C₂²⋊C₄	—	5	1	no	—
868	C₃×C₂²⋊C₄	—	5	2	no	—
869	C₃×C₂²⋊C₄	—	5	1	no	—
870	C₃×C₂²⋊C₄	—	5	2	no	—
871	C₃×C₂²⋊C₄	—	5	1	no	—
872	C₃×C₂²⋊C₄	—	5	1	no	—
873	C₃×C₂²⋊C₄	—	5	2	no	—
874	C₃×C₂²⋊C₄	—	5	1	no	—
875	C₃×C₂²⋊C₄	—	5	2	no	—
876	C₃×C₂²⋊C₄	—	5	2	no	—
877	C₃×C₂²⋊C₄	—	5	1	no	—
878	C₃×C₂²⋊C₄	—	5	2	no	—
879	C₃×C₂²⋊C₄	—	5	2	no	—
880	C₃×C₂²⋊C₄	—	5	2	no	—
881	C₃×C₂²⋊C₄	—	5	2	no	—
882	C₃×C₂²⋊C₄	—	5	2	no	—
883	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
884	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
885	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
886	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
887	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
888	C₃×C₄²	—	5	2	no	—
889	C₃×C₄²	—	5	1	no	—
890	C₃×C₄²	—	5	2	no	—
891	C₃×C₄²	—	5	1	no	—
892	C₃×C₄²	—	5	1	no	—
893	C₃×C₄²	—	5	1	no	—
894	C₃×C₄²	C₂²×D₅	1	2	yes	—
895	C₂³×C₅	—	2	2	no	—
896	C₂³×C₅	—	2	2	no	—
897	C₂³×C₅	—	4	1	no	—
898	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
899	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
900	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
901	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
902	C₂²×D₅	—	2	2	no	—
903	C₂²×D₅	—	2	4	no	—
904	C₂²×D₅	—	2	4	no	—
905	C₂²×D₅	—	2	4	no	—
906	C₂²×D₅	—	2	4	no	—
907	C₂²×D₅	—	2	2	no	—
908	C₂²×D₅	—	4	2	no	—
909	C₂²×D₅	—	4	2	no	—
910	C₂²×D₅	—	4	1	no	—
911	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
912	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
913	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
914	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
915	C₅×Q₈	—	2	2	no	—
916	C₅×D₄	—	2	4	no	—
917	C₅×D₄	—	2	4	no	—
918	C₅×D₄	—	2	2	no	—
919	C₅×D₄	—	4	2	no	—
920	C₂×C₄×C₅	—	2	2	no	—
921	C₂×C₄×C₅	—	2	2	no	—
922	C₂×C₄×C₅	—	2	2	no	—
923	C₂×C₄×C₅	—	2	4	no	—
924	C₂×C₄×C₅	—	2	2	no	—
925	C₂×C₄×C₅	—	2	2	no	—
926	C₂×C₄×C₅	C₂×C₃×D₄	1	4	yes	complemented
927	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
928	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
929	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
931	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
932	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
933	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
934	C₂²⋊D₅	—	2	4	no	—
935	C₂²⋊D₅	—	2	2	no	—
936	C₂²⋊D₅	—	2	4	no	—
937	C₂²⋊D₅	—	2	4	no	—
938	C₂²⋊D₅	—	2	2	no	—
939	C₂²⋊D₅	—	2	4	no	—
940	C₂²⋊D₅	—	2	4	no	—
941	C₂²⋊D₅	—	2	4	no	—
942	C₂²⋊D₅	—	2	2	no	—
943	C₂²⋊D₅	—	4	2	no	—
944	C₂²⋊D₅	C₂×C₃×D₄	1	8	yes	complemented
945	C₂²⋊D₅	C₃×#41	1	4	yes	complemented
946	C₂×Dic₅	—	2	2	no	—
947	C₂×Dic₅	—	2	4	no	—
948	C₂×Dic₅	—	2	4	no	—
949	C₂×Dic₅	—	2	2	no	—
950	C₂×Dic₅	—	4	1	no	—
951	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
952	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
953	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
954	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
955	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
956	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
957	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
958	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
959	D₂₀	—	2	4	no	—
960	D₂₀	—	2	4	no	—
961	D₂₀	—	2	4	no	—
962	D₂₀	—	2	2	no	—
963	D₂₀	—	4	2	no	—
964	D₂₀	C₂×C₃×D₄	1	4	yes	complemented
965	C₄×D₅	—	2	4	no	—
966	C₄×D₅	—	2	4	no	—
967	C₄×D₅	—	2	2	no	—
968	C₄×D₅	—	2	2	no	—
969	C₄×D₅	—	2	4	no	—
970	C₄×D₅	—	2	2	no	—
971	C₄×D₅	—	2	2	no	—
972	C₄×D₅	—	2	4	no	—
973	C₄×D₅	—	2	4	no	—
974	C₄×D₅	—	2	4	no	—
975	C₄×D₅	—	4	2	no	—
976	C₄×D₅	C₂×C₃×D₄	1	8	yes	complemented
977	Dic₁₀	—	2	2	no	—
978	Dic₁₀	—	2	4	no	—
979	Dic₁₀	—	2	4	no	—
980	Dic₁₀	C₂×C₃×D₄	1	4	yes	complemented
981	C₂×#41	—	5	1	no	—
982	C₂×#41	—	5	2	no	—
983	C₂×#41	—	5	1	no	—
984	C₂×#41	—	5	1	no	—
985	C₂×#41	—	5	2	no	—
986	C₂×#41	—	5	2	no	—
987	C₂×#41	—	5	1	no	—
988	C₂×#41	—	5	1	no	—
989	C₂×#41	—	5	2	no	—
990	C₂×#41	—	5	1	no	—
991	C₂×#41	—	10	8	no	—
992	C₂×#41	—	10	8	no	—
993	C₂×#41	C₂×C₃×D₅	1	1	yes	characteristic, complemented
994	C₂²×Q₈	—	5	1	no	—
995	C₂²×Q₈	—	5	1	no	—
996	C₂²×D₄	—	5	1	no	—
997	C₂²×D₄	—	5	2	no	—
998	C₂²×D₄	—	5	2	no	—
999	C₂²×D₄	—	5	2	no	—
1000	C₂²×D₄	—	5	1	no	—
1001	C₂²×D₄	—	5	1	no	—
1002	C₂³×C₄	—	5	2	no	—
1003	C₂³×C₄	—	5	2	no	—
1004	C₂³×C₄	—	5	1	no	—
1005	C₂³×C₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1006	C₄⋊Q₈	—	5	1	no	—
1007	C₄⋊Q₈	—	5	2	no	—
1008	#127	—	5	2	no	—
1009	#127	—	5	1	no	—
1010	#124	—	5	1	no	—
1011	#124	—	5	1	no	—
1012	#124	—	5	2	no	—
1013	#124	—	5	2	no	—
1014	#123	—	5	2	no	—
1015	#123	—	5	2	no	—
1016	#123	—	5	2	no	—
1017	#123	—	5	2	no	—
1018	#123	—	5	2	no	—
1019	#123	C₂×C₃×D₅	1	2	yes	complemented
1020	C₂²⋊Q₈	—	5	2	no	—
1021	C₂²⋊Q₈	—	5	1	no	—
1022	C₂²⋊Q₈	—	5	2	no	—
1023	C₂²⋊Q₈	—	5	1	no	—
1024	C₂²⋊Q₈	—	5	2	no	—
1025	C₂²⋊Q₈	—	5	2	no	—
1026	C₂²⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1027	C₂²⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1028	#121	—	5	2	no	—
1029	#121	—	5	2	no	—
1030	#121	—	5	2	no	—
1031	#121	—	5	2	no	—
1032	#121	—	5	2	no	—
1033	#121	—	5	1	no	—
1034	#121	—	5	1	no	—
1035	#121	—	5	2	no	—
1036	#121	—	5	2	no	—
1037	#121	—	5	2	no	—
1038	#121	—	5	2	no	—
1039	#121	—	5	2	no	—
1040	#121	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1041	#121	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1042	#120	—	5	2	no	—
1043	#120	—	5	2	no	—
1044	#120	—	5	2	no	—
1045	#120	—	5	2	no	—
1046	#120	—	5	2	no	—
1047	#120	C₂×C₃×D₅	1	2	yes	complemented
1048	C₄×Q₈	—	5	1	no	—
1049	C₄×Q₈	—	5	1	no	—
1050	C₄×D₄	—	5	2	no	—
1051	C₄×D₄	—	5	1	no	—
1052	C₄×D₄	—	5	1	no	—
1053	C₄×D₄	—	5	1	no	—
1054	C₄×D₄	—	5	2	no	—
1055	C₄×D₄	—	5	1	no	—
1056	C₄×D₄	—	5	1	no	—
1057	C₄×D₄	—	5	1	no	—
1058	C₄×D₄	—	5	1	no	—
1059	C₄×D₄	—	5	1	no	—
1060	C₄×D₄	—	5	2	no	—
1061	C₄×D₄	—	5	2	no	—
1062	C₄×D₄	—	5	1	no	—
1063	C₄×D₄	—	5	1	no	—
1064	C₄×D₄	—	5	2	no	—
1065	C₄×D₄	—	5	2	no	—
1066	C₄×D₄	—	5	2	no	—
1067	C₄×D₄	—	5	2	no	—
1068	C₄×D₄	—	5	2	no	—
1069	C₄×D₄	—	5	2	no	—
1070	C₄×D₄	C₂×C₃×D₅	1	2	yes	complemented
1071	C₄×D₄	C₂×C₃×D₅	1	2	yes	complemented
1072	#117	—	5	2	no	—
1073	#117	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1074	C₂×C₄⋊C₄	—	5	1	no	—
1075	C₂×C₄⋊C₄	—	5	2	no	—
1076	C₂×C₂²⋊C₄	—	5	1	no	—
1077	C₂×C₂²⋊C₄	—	5	1	no	—
1078	C₂×C₂²⋊C₄	—	5	2	no	—
1079	C₂×C₂²⋊C₄	—	5	2	no	—
1080	C₂×C₄²	—	5	1	no	—
1081	C₂×C₄²	—	5	2	no	—
1082	C₂×C₃×C₅	—	2	2	no	—
1083	C₂×C₃×C₅	—	2	2	no	—
1084	C₂×C₃×C₅	—	4	2	no	—
1085	C₂×C₃×C₅	—	4	1	no	—
1086	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
1087	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1088	C₂×C₃×C₅	#585	1	1	yes	characteristic
1089	C₃×D₅	—	2	2	no	—
1090	C₃×D₅	—	2	4	no	—
1091	C₃×D₅	—	4	2	no	—
1092	C₃×D₅	—	4	1	no	—
1093	C₂³×C₃	—	2	2	no	—
1094	C₂³×C₃	—	2	2	no	—
1095	C₂³×C₃	—	4	1	no	—
1096	C₂³×C₃	—	5	1	no	—
1097	C₂³×C₃	—	5	2	no	—
1098	C₂³×C₃	—	5	1	no	—
1099	C₂³×C₃	—	5	2	no	—
1100	C₂³×C₃	—	10	4	no	—
1101	C₂³×C₃	—	10	4	no	—
1102	C₂³×C₃	—	10	2	no	—
1103	C₂³×C₃	—	10	4	no	—
1104	C₂³×C₃	—	10	2	no	—
1105	C₂³×C₃	—	10	4	no	—
1106	C₂³×C₃	—	20	1	no	—
1107	C₂³×C₃	—	20	2	no	—
1108	C₂³×C₃	—	20	2	no	—
1109	C₂³×C₃	C₂³×D₅	1	2	yes	—
1110	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1111	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1112	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1113	C₃×Q₈	—	2	2	no	—
1114	C₃×Q₈	—	5	4	no	—
1115	C₃×Q₈	—	10	4	no	—
1116	C₃×Q₈	—	10	4	no	—
1117	C₃×Q₈	—	10	2	no	—
1118	C₃×D₄	—	2	4	no	—
1119	C₃×D₄	—	2	4	no	—
1120	C₃×D₄	—	2	2	no	—
1121	C₃×D₄	—	4	2	no	—
1122	C₃×D₄	—	5	8	no	—
1123	C₃×D₄	—	5	4	no	—
1124	C₃×D₄	—	5	4	no	—
1125	C₃×D₄	—	10	4	no	—
1126	C₃×D₄	—	10	4	no	—
1127	C₃×D₄	—	10	4	no	—
1128	C₃×D₄	—	10	4	no	—
1129	C₃×D₄	—	10	2	no	—
1130	C₃×D₄	—	10	4	no	—
1131	C₃×D₄	—	10	4	no	—
1132	C₃×D₄	—	10	2	no	—
1133	C₃×D₄	—	10	4	no	—
1134	C₃×D₄	—	10	4	no	—
1135	C₃×D₄	—	10	4	no	—
1136	C₃×D₄	—	10	2	no	—
1137	C₃×D₄	—	10	2	no	—
1138	C₃×D₄	—	20	2	no	—
1139	C₃×D₄	—	20	2	no	—
1140	C₂×C₃×C₄	—	2	2	no	—
1141	C₂×C₃×C₄	—	2	2	no	—
1142	C₂×C₃×C₄	—	2	2	no	—
1143	C₂×C₃×C₄	—	2	2	no	—
1144	C₂×C₃×C₄	—	2	2	no	—
1145	C₂×C₃×C₄	—	2	4	no	—
1146	C₂×C₃×C₄	—	5	1	no	—
1147	C₂×C₃×C₄	—	5	2	no	—
1148	C₂×C₃×C₄	—	5	8	no	—
1149	C₂×C₃×C₄	—	5	1	no	—
1150	C₂×C₃×C₄	—	5	1	no	—
1151	C₂×C₃×C₄	—	5	1	no	—
1152	C₂×C₃×C₄	—	5	1	no	—
1153	C₂×C₃×C₄	—	5	1	no	—
1154	C₂×C₃×C₄	—	5	2	no	—
1155	C₂×C₃×C₄	—	10	4	no	—
1156	C₂×C₃×C₄	—	10	4	no	—
1157	C₂×C₃×C₄	—	10	4	no	—
1158	C₂×C₃×C₄	—	10	4	no	—
1159	C₂×C₃×C₄	—	10	4	no	—
1160	C₂×C₃×C₄	—	10	4	no	—
1161	C₂×C₃×C₄	—	10	4	no	—
1162	C₂×C₃×C₄	—	10	2	no	—
1163	C₂×C₃×C₄	—	10	2	no	—
1164	C₂×C₃×C₄	—	10	2	no	—
1165	C₂×C₃×C₄	—	10	2	no	—
1166	C₂×C₃×C₄	—	10	2	no	—
1167	C₂×C₃×C₄	—	10	4	no	—
1168	C₂×C₃×C₄	—	10	2	no	—
1169	C₂×C₃×C₄	—	20	2	no	—
1170	C₂×C₃×C₄	—	20	1	no	—
1171	C₂×C₃×C₄	D₄×D₅	1	4	yes	complemented
1172	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1173	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1174	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1175	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1176	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1177	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1178	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1179	C₂²×C₅	—	2	1	no	—
1180	C₂²×C₅	—	2	1	no	—
1181	C₂²×C₅	—	2	1	no	—
1182	C₂²×C₅	—	2	1	no	—
1183	C₂²×C₅	—	2	2	no	—
1184	C₂²×C₅	—	2	1	no	—
1185	C₂²×C₅	—	2	1	no	—
1186	C₂²×C₅	—	2	2	no	—
1187	C₂²×C₅	—	2	2	no	—
1188	C₂²×C₅	—	2	1	no	—
1189	C₂²×C₅	—	4	4	no	—
1190	C₂²×C₅	C₂²×C₃×D₄	1	2	yes	—
1191	C₂²×C₅	C₂×C₃×#41	1	2	yes	complemented
1192	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1193	C₂×D₅	—	2	1	no	—
1194	C₂×D₅	—	2	2	no	—
1195	C₂×D₅	—	2	2	no	—
1196	C₂×D₅	—	2	1	no	—
1197	C₂×D₅	—	2	1	no	—
1198	C₂×D₅	—	2	2	no	—
1199	C₂×D₅	—	2	2	no	—
1200	C₂×D₅	—	2	1	no	—
1201	C₂×D₅	—	2	1	no	—
1202	C₂×D₅	—	2	2	no	—
1203	C₂×D₅	—	4	8	no	—
1204	C₂×D₅	—	4	4	no	—
1205	C₂×D₅	—	4	8	no	—
1206	C₂×D₅	C₂²×C₃×D₄	1	4	yes	—
1207	C₂×D₅	C₂×C₃×#41	1	2	yes	complemented
1208	C₄×C₅	—	2	1	no	—
1209	C₄×C₅	—	2	2	no	—
1210	C₄×C₅	—	2	1	no	—
1211	C₄×C₅	—	2	2	no	—
1212	C₄×C₅	—	2	2	no	—
1213	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
1214	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
1215	Dic₅	—	2	2	no	—
1216	Dic₅	—	2	1	no	—
1217	Dic₅	—	2	1	no	—
1218	Dic₅	—	2	1	no	—
1219	Dic₅	—	2	1	no	—
1220	Dic₅	—	2	1	no	—
1221	Dic₅	C₂²×C₃×D₄	1	4	yes	—
1222	Dic₅	C₂×C₃×#41	1	2	yes	complemented
1223	C₂⁴	—	5	2	no	—
1224	C₂⁴	—	5	1	no	—
1225	C₂⁴	—	5	2	no	—
1226	C₂⁴	C₂²×C₃×D₅	1	1	yes	characteristic
1227	#41	—	2	4	no	—
1228	#41	—	5	8	no	—
1229	#41	—	10	8	no	—
1230	#41	—	10	8	no	—
1231	#41	—	10	8	no	—
1232	#41	—	10	4	no	—
1233	#41	—	10	4	no	—
1234	#41	—	10	8	no	—
1235	#41	—	10	4	no	—
1236	#41	—	10	4	no	—
1237	#41	—	10	4	no	—
1238	C₂×Q₈	—	5	1	no	—
1239	C₂×Q₈	—	5	2	no	—
1240	C₂×Q₈	—	5	2	no	—
1241	C₂×Q₈	—	5	1	no	—
1242	C₂×Q₈	—	10	4	no	—
1243	C₂×Q₈	—	10	4	no	—
1244	C₂×Q₈	C₂²×C₃×D₅	1	1	yes	characteristic
1245	C₂×D₄	—	5	1	no	—
1246	C₂×D₄	—	5	2	no	—
1247	C₂×D₄	—	5	1	no	—
1248	C₂×D₄	—	5	1	no	—
1249	C₂×D₄	—	5	2	no	—
1250	C₂×D₄	—	5	1	no	—
1251	C₂×D₄	—	5	2	no	—
1252	C₂×D₄	—	5	2	no	—
1253	C₂×D₄	—	5	2	no	—
1254	C₂×D₄	—	5	2	no	—
1255	C₂×D₄	—	5	2	no	—
1256	C₂×D₄	—	5	2	no	—
1257	C₂×D₄	—	5	1	no	—
1258	C₂×D₄	—	5	2	no	—
1259	C₂×D₄	—	5	2	no	—
1260	C₂×D₄	—	5	2	no	—
1261	C₂×D₄	—	5	1	no	—
1262	C₂×D₄	—	5	2	no	—
1263	C₂×D₄	—	10	4	no	—
1264	C₂×D₄	—	10	8	no	—
1265	C₂×D₄	—	10	4	no	—
1266	C₂×D₄	—	10	8	no	—
1267	C₂×D₄	—	10	8	no	—
1268	C₂×D₄	—	10	4	no	—
1269	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1270	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1271	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1272	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1273	C₂²×C₄	—	2	4	no	—
1274	C₂²×C₄	—	5	2	no	—
1275	C₂²×C₄	—	5	1	no	—
1276	C₂²×C₄	—	5	1	no	—
1277	C₂²×C₄	—	5	2	no	—
1278	C₂²×C₄	—	5	2	no	—
1279	C₂²×C₄	—	5	1	no	—
1280	C₂²×C₄	—	5	2	no	—
1281	C₂²×C₄	—	5	2	no	—
1282	C₂²×C₄	—	5	2	no	—
1283	C₂²×C₄	—	5	1	no	—
1284	C₂²×C₄	—	5	1	no	—
1285	C₂²×C₄	—	5	2	no	—
1286	C₂²×C₄	—	5	2	no	—
1287	C₂²×C₄	—	5	1	no	—
1288	C₂²×C₄	—	5	2	no	—
1289	C₂²×C₄	—	5	1	no	—
1290	C₂²×C₄	—	5	2	no	—
1291	C₂²×C₄	—	10	8	no	—
1292	C₂²×C₄	—	10	8	no	—
1293	C₂²×C₄	—	10	4	no	—
1294	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1295	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1296	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
1297	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1298	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1299	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1300	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1301	C₄⋊C₄	—	5	1	no	—
1302	C₄⋊C₄	—	5	2	no	—
1303	C₄⋊C₄	—	5	1	no	—
1304	C₄⋊C₄	—	5	1	no	—
1305	C₄⋊C₄	—	5	1	no	—
1306	C₄⋊C₄	—	5	2	no	—
1307	C₄⋊C₄	—	5	2	no	—
1308	C₄⋊C₄	—	5	2	no	—
1309	C₄⋊C₄	—	5	2	no	—
1310	C₄⋊C₄	—	5	2	no	—
1311	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1312	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1313	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1314	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1315	C₂²⋊C₄	—	5	1	no	—
1316	C₂²⋊C₄	—	5	1	no	—
1317	C₂²⋊C₄	—	5	1	no	—
1318	C₂²⋊C₄	—	5	2	no	—
1319	C₂²⋊C₄	—	5	1	no	—
1320	C₂²⋊C₄	—	5	2	no	—
1321	C₂²⋊C₄	—	5	1	no	—
1322	C₂²⋊C₄	—	5	1	no	—
1323	C₂²⋊C₄	—	5	2	no	—
1324	C₂²⋊C₄	—	5	1	no	—
1325	C₂²⋊C₄	—	5	2	no	—
1326	C₂²⋊C₄	—	5	2	no	—
1327	C₂²⋊C₄	—	5	1	no	—
1328	C₂²⋊C₄	—	5	2	no	—
1329	C₂²⋊C₄	—	5	2	no	—
1330	C₂²⋊C₄	—	5	2	no	—
1331	C₂²⋊C₄	—	5	2	no	—
1332	C₂²⋊C₄	—	5	2	no	—
1333	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1334	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1335	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1336	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1337	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1338	C₄²	—	5	1	no	—
1339	C₄²	—	5	1	no	—
1340	C₄²	—	5	2	no	—
1341	C₄²	—	5	1	no	—
1342	C₄²	—	5	2	no	—
1343	C₄²	—	5	1	no	—
1344	C₄²	C₂²×C₃×D₅	1	2	yes	—
1345	C₃×C₅	D₄×#41	1	1	yes	characteristic, complemented, Hall
1346	C₂²×C₃	—	2	1	no	—
1347	C₂²×C₃	—	2	1	no	—
1348	C₂²×C₃	—	2	1	no	—
1349	C₂²×C₃	—	2	1	no	—
1350	C₂²×C₃	—	2	1	no	—
1351	C₂²×C₃	—	2	2	no	—
1352	C₂²×C₃	—	2	2	no	—
1353	C₂²×C₃	—	2	1	no	—
1354	C₂²×C₃	—	2	1	no	—
1355	C₂²×C₃	—	2	2	no	—
1356	C₂²×C₃	—	4	4	no	—
1357	C₂²×C₃	—	5	4	no	—
1358	C₂²×C₃	—	5	2	no	—
1359	C₂²×C₃	—	10	1	no	—
1360	C₂²×C₃	—	10	2	no	—
1361	C₂²×C₃	—	10	2	no	—
1362	C₂²×C₃	—	10	1	no	—
1363	C₂²×C₃	—	10	2	no	—
1364	C₂²×C₃	—	10	1	no	—
1365	C₂²×C₃	—	10	2	no	—
1366	C₂²×C₃	—	10	1	no	—
1367	C₂²×C₃	—	10	1	no	—
1368	C₂²×C₃	—	10	2	no	—
1369	C₂²×C₃	—	20	8	no	—
1370	C₂²×C₃	—	20	4	no	—
1371	C₂²×C₃	—	20	8	no	—
1372	C₂²×C₃	C₂×D₄×D₅	1	2	yes	—
1373	C₂²×C₃	D₅×#41	1	2	yes	complemented
1374	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1375	C₃×C₄	—	2	1	no	—
1376	C₃×C₄	—	2	1	no	—
1377	C₃×C₄	—	2	2	no	—
1378	C₃×C₄	—	2	2	no	—
1379	C₃×C₄	—	2	2	no	—
1380	C₃×C₄	—	5	4	no	—
1381	C₃×C₄	—	5	2	no	—
1382	C₃×C₄	—	10	1	no	—
1383	C₃×C₄	—	10	2	no	—
1384	C₃×C₄	—	10	1	no	—
1385	C₃×C₄	—	10	1	no	—
1386	C₃×C₄	—	10	1	no	—
1387	C₃×C₄	—	10	1	no	—
1388	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
1389	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
1390	C₂×C₅	—	2	2	no	—
1391	C₂×C₅	—	2	2	no	—
1392	C₂×C₅	—	4	2	no	—
1393	C₂×C₅	—	4	1	no	—
1394	C₂×C₅	C₂³×C₃×D₄	1	1	yes	characteristic
1395	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1396	C₂×C₅	C₃×#585	1	1	yes	characteristic
1397	D₅	—	2	2	no	—
1398	D₅	—	2	4	no	—
1399	D₅	—	4	2	no	—
1400	D₅	—	4	1	no	—
1401	C₂³	—	2	2	no	—
1402	C₂³	—	2	2	no	—
1403	C₂³	—	4	1	no	—
1404	C₂³	—	5	1	no	—
1405	C₂³	—	5	2	no	—
1406	C₂³	—	5	1	no	—
1407	C₂³	—	5	2	no	—
1408	C₂³	—	10	4	no	—
1409	C₂³	—	10	4	no	—
1410	C₂³	—	10	2	no	—
1411	C₂³	—	10	4	no	—
1412	C₂³	—	10	2	no	—
1413	C₂³	—	10	4	no	—
1414	C₂³	—	20	1	no	—
1415	C₂³	—	20	2	no	—
1416	C₂³	—	20	2	no	—
1417	C₂³	C₂³×C₃×D₅	1	2	yes	—
1418	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1419	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1420	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1421	Q₈	—	2	2	no	—
1422	Q₈	—	5	4	no	—
1423	Q₈	—	10	4	no	—
1424	Q₈	—	10	4	no	—
1425	Q₈	—	10	2	no	—
1426	D₄	—	2	4	no	—
1427	D₄	—	2	4	no	—
1428	D₄	—	2	2	no	—
1429	D₄	—	4	2	no	—
1430	D₄	—	5	8	no	—
1431	D₄	—	5	4	no	—
1432	D₄	—	5	4	no	—
1433	D₄	—	10	4	no	—
1434	D₄	—	10	4	no	—
1435	D₄	—	10	4	no	—
1436	D₄	—	10	4	no	—
1437	D₄	—	10	4	no	—
1438	D₄	—	10	4	no	—
1439	D₄	—	10	2	no	—
1440	D₄	—	10	4	no	—
1441	D₄	—	10	4	no	—
1442	D₄	—	10	2	no	—
1443	D₄	—	10	4	no	—
1444	D₄	—	10	2	no	—
1445	D₄	—	10	2	no	—
1446	D₄	—	20	2	no	—
1447	D₄	—	20	2	no	—
1448	C₂×C₄	—	2	2	no	—
1449	C₂×C₄	—	2	2	no	—
1450	C₂×C₄	—	2	2	no	—
1451	C₂×C₄	—	2	2	no	—
1452	C₂×C₄	—	2	2	no	—
1453	C₂×C₄	—	2	4	no	—
1454	C₂×C₄	—	5	1	no	—
1455	C₂×C₄	—	5	2	no	—
1456	C₂×C₄	—	5	8	no	—
1457	C₂×C₄	—	5	1	no	—
1458	C₂×C₄	—	5	1	no	—
1459	C₂×C₄	—	5	1	no	—
1460	C₂×C₄	—	5	1	no	—
1461	C₂×C₄	—	5	1	no	—
1462	C₂×C₄	—	5	2	no	—
1463	C₂×C₄	—	10	4	no	—
1464	C₂×C₄	—	10	4	no	—
1465	C₂×C₄	—	10	4	no	—
1466	C₂×C₄	—	10	4	no	—
1467	C₂×C₄	—	10	4	no	—
1468	C₂×C₄	—	10	4	no	—
1469	C₂×C₄	—	10	4	no	—
1470	C₂×C₄	—	10	2	no	—
1471	C₂×C₄	—	10	2	no	—
1472	C₂×C₄	—	10	2	no	—
1473	C₂×C₄	—	10	2	no	—
1474	C₂×C₄	—	10	2	no	—
1475	C₂×C₄	—	10	4	no	—
1476	C₂×C₄	—	10	2	no	—
1477	C₂×C₄	—	20	2	no	—
1478	C₂×C₄	—	20	1	no	—
1479	C₂×C₄	C₃×D₄×D₅	1	4	yes	complemented
1480	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1481	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1482	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1483	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1484	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1485	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1486	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1487	C₂×C₃	—	2	2	no	—
1488	C₂×C₃	—	2	2	no	—
1489	C₂×C₃	—	4	1	no	—
1490	C₂×C₃	—	4	2	no	—
1491	C₂×C₃	—	10	2	no	—
1492	C₂×C₃	—	10	4	no	—
1493	C₂×C₃	—	20	2	no	—
1494	C₂×C₃	—	20	1	no	—
1495	C₂×C₃	C₂²×D₄×D₅	1	1	yes	characteristic
1496	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1497	C₂×C₃	#66283	1	1	yes	characteristic
1498	C₅	C₃×D₄×#41	1	1	yes	characteristic, complemented, Sylow
1499	C₂²	—	2	1	no	—
1500	C₂²	—	2	1	no	—
1501	C₂²	—	2	1	no	—
1502	C₂²	—	2	1	no	—
1503	C₂²	—	2	1	no	—
1504	C₂²	—	2	2	no	—
1505	C₂²	—	2	2	no	—
1506	C₂²	—	2	1	no	—
1507	C₂²	—	2	1	no	—
1508	C₂²	—	2	2	no	—
1509	C₂²	—	4	4	no	—
1510	C₂²	—	5	4	no	—
1511	C₂²	—	5	2	no	—
1512	C₂²	—	10	1	no	—
1513	C₂²	—	10	2	no	—
1514	C₂²	—	10	2	no	—
1515	C₂²	—	10	1	no	—
1516	C₂²	—	10	2	no	—
1517	C₂²	—	10	1	no	—
1518	C₂²	—	10	2	no	—
1519	C₂²	—	10	1	no	—
1520	C₂²	—	10	1	no	—
1521	C₂²	—	10	2	no	—
1522	C₂²	—	20	8	no	—
1523	C₂²	—	20	4	no	—
1524	C₂²	—	20	8	no	—
1525	C₂²	C₂×C₃×D₄×D₅	1	2	yes	—
1526	C₂²	C₃×D₅×#41	1	2	yes	complemented
1527	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1528	C₄	—	2	1	no	—
1529	C₄	—	2	1	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	5	4	no	—
1534	C₄	—	5	2	no	—
1535	C₄	—	10	1	no	—
1536	C₄	—	10	2	no	—
1537	C₄	—	10	1	no	—
1538	C₄	—	10	1	no	—
1539	C₄	—	10	1	no	—
1540	C₄	—	10	1	no	—
1541	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1542	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1543	C₃	#10617938	1	1	yes	characteristic, direct product factor, Sylow
1544	C₂	—	2	2	no	—
1545	C₂	—	2	2	no	—
1546	C₂	—	4	1	no	—
1547	C₂	—	4	2	no	—
1548	C₂	—	10	2	no	—
1549	C₂	—	10	4	no	—
1550	C₂	—	20	2	no	—
1551	C₂	—	20	1	no	—
1552	C₂	C₂²×C₃×D₄×D₅	1	1	yes	characteristic
1553	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1554	C₂	C₃×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₃×C₅×#525	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#525	D₅
hypocenter	C₅	C₃×D₄×#41
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×#66166	C₂	semidirect
5. C₂×C₃×C₄×C₂²⋊D₅	C₂	semidirect
6. C₃×#65989	C₂	semidirect
7. C₃×#65988	C₂	semidirect
8. C₃×#65967	C₂	semidirect
9. C₃×#65966	C₂	semidirect
10. C₃×#65965	C₂	semidirect
11. C₃×#65964	C₂	semidirect
12. C₃×#65946	C₂	semidirect
13. C₃×#65943	C₂	semidirect
14. C₃×#65933	C₂	semidirect
15. C₃×#65932	C₂	semidirect
16. C₃×#65925	C₂	semidirect
17. C₃×#65924	C₂	semidirect
18. C₃×#65882	C₂	semidirect
19. C₃×#65881	C₂	semidirect
20. C₃×#65881	C₂	semidirect
21. C₃×C₄×D₄×D₅	C₂	semidirect
22. C₃×#65858	C₂	semidirect
23. C₃×#65856	C₂	semidirect
24. #10617938	C₃	direct (N × H)
25. C₂×C₃×C₅×#41	C₂²	semidirect
26. C₂³×C₃×C₄×C₅	C₂²	semidirect
28. C₂²×C₃×C₂²⋊D₅	C₂²	semidirect
30. C₂×C₃×#713	C₂²	semidirect
31. C₂×C₃×Q₈×D₅	C₂²	semidirect
32. C₂×C₃×#711	C₂²	semidirect
33. C₂×C₃×#711	C₂²	semidirect
35. C₂×C₃×D₄×D₅	C₂²	semidirect
36. C₂×C₃×D₄×D₅	C₂²	semidirect
39. C₂×C₃×#709	C₂²	semidirect
40. C₂×C₃×#709	C₂²	semidirect
41. C₂×C₃×#709	C₂²	semidirect
42. C₂×C₃×#709	C₂²	semidirect
43. C₂×C₃×#709	C₂²	semidirect
44. C₂×C₃×#709	C₂²	semidirect
45. C₂²×C₃×D₂₀	C₂²	semidirect
46. C₂²×C₃×C₄×D₅	C₂²	semidirect
47. C₂²×C₃×C₄×D₅	C₂²	semidirect
48. C₂²×C₃×C₄×D₅	C₂²	semidirect
49. C₂²×C₃×Dic₁₀	C₂²	semidirect
50. C₃×C₅×#123	C₂²	semidirect
51. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
52. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
53. C₃×C₅×#121	C₂²	semidirect
54. C₃×C₅×#121	C₂²	semidirect
55. C₃×C₅×#120	C₂²	semidirect
56. C₃×C₄×C₅×D₄	C₂²	semidirect
57. C₃×C₄×C₅×D₄	C₂²	semidirect
58. C₃×C₅×#117	C₂²	semidirect
59. C₂×C₃×C₂²⋊Dic₅	C₂²	semidirect
60. C₃×#4093	C₂²	semidirect
61. C₃×#4090	C₂²	semidirect
62. C₃×#4086	C₂²	semidirect
63. C₃×#4086	C₂²	semidirect
64. C₃×#4085	C₂²	semidirect
65. C₃×#4085	C₂²	semidirect
66. C₃×#4085	C₂²	semidirect
67. C₃×#4085	C₂²	semidirect
68. C₃×#4084	C₂²	semidirect
69. C₃×#4083	C₂²	semidirect
70. C₃×#4083	C₂²	semidirect
71. C₃×#4082	C₂²	semidirect
72. C₃×D₄×Dic₅	C₂²	semidirect
75. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
76. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
77. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
78. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
79. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
80. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
81. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
82. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
83. C₂×C₃×#685	C₂²	semidirect
84. C₂×C₃×#683	C₂²	semidirect
85. C₂×C₃×C₄×Dic₅	C₂²	semidirect
86. C₃×#4043	C₂²	semidirect
87. C₃×#4043	C₂²	semidirect
88. C₃×#4042	C₂²	semidirect
89. C₃×#4042	C₂²	semidirect
90. C₃×#4041	C₂²	semidirect
91. C₃×#4041	C₂²	semidirect
92. C₃×#4041	C₂²	semidirect
93. C₃×#4040	C₂²	semidirect
94. C₃×#4040	C₂²	semidirect
95. C₃×#4039	C₂²	semidirect
96. C₃×#4039	C₂²	semidirect
97. C₃×#4039	C₂²	semidirect
98. C₃×D₅×C₄⋊C₄	C₂²	semidirect
99. C₃×#4034	C₂²	semidirect
100. C₃×#4033	C₂²	semidirect
101. C₃×#4033	C₂²	semidirect
102. C₃×#4032	C₂²	semidirect
103. C₃×#4031	C₂²	semidirect
104. C₃×#4031	C₂²	semidirect
105. C₃×#4030	C₂²	semidirect
106. C₃×#4030	C₂²	semidirect
107. C₃×#4030	C₂²	semidirect
108. C₃×#4030	C₂²	semidirect
109. C₃×#4029	C₂²	semidirect
110. C₃×#4029	C₂²	semidirect
111. C₃×#4028	C₂²	semidirect
112. C₃×#4028	C₂²	semidirect
113. C₃×#4028	C₂²	semidirect
115. C₃×#4027	C₂²	semidirect
116. C₃×#4027	C₂²	semidirect
117. C₃×#4027	C₂²	semidirect
118. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
119. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
120. C₃×#4024	C₂²	semidirect
121. C₃×#4024	C₂²	semidirect
122. C₃×C₄×D₂₀	C₂²	semidirect
123. C₃×C₄×D₂₀	C₂²	semidirect
124. C₃×#4018	C₂²	semidirect
125. C₃×C₄²×D₅	C₂²	semidirect
127. C₂×D₅×#41	C₂×C₃	semidirect
128. C₂²×#709	C₂×C₃	semidirect
129. C₅×#525	C₂×C₃	semidirect
130. #66166	C₂×C₃	semidirect
131. C₂×C₄×C₂²⋊D₅	C₂×C₃	semidirect
132. #65989	C₂×C₃	semidirect
133. #65988	C₂×C₃	semidirect
134. #65967	C₂×C₃	semidirect
135. #65966	C₂×C₃	semidirect
136. #65965	C₂×C₃	semidirect
137. #65964	C₂×C₃	semidirect
138. #65946	C₂×C₃	semidirect
139. #65943	C₂×C₃	semidirect
140. #65933	C₂×C₃	semidirect
141. #65932	C₂×C₃	semidirect
142. #65925	C₂×C₃	semidirect
143. #65924	C₂×C₃	semidirect
144. #65882	C₂×C₃	semidirect
145. #65881	C₂×C₃	semidirect
146. #65881	C₂×C₃	semidirect
147. C₄×D₄×D₅	C₂×C₃	semidirect
148. #65858	C₂×C₃	semidirect
149. #65856	C₂×C₃	semidirect
200. C₃×#709	D₄	semidirect
291. C₃×#525	D₅	semidirect
295. C₂×C₅×#41	C₂²×C₃	semidirect
296. C₂³×C₄×C₅	C₂²×C₃	semidirect
298. C₂²×C₂²⋊D₅	C₂²×C₃	semidirect
300. C₂×#713	C₂²×C₃	semidirect
301. C₂×Q₈×D₅	C₂²×C₃	semidirect
302. C₂×#711	C₂²×C₃	semidirect
303. C₂×#711	C₂²×C₃	semidirect
305. C₂×D₄×D₅	C₂²×C₃	semidirect
306. C₂×D₄×D₅	C₂²×C₃	semidirect
309. C₂×#709	C₂²×C₃	semidirect
310. C₂×#709	C₂²×C₃	semidirect
311. C₂×#709	C₂²×C₃	semidirect
312. C₂×#709	C₂²×C₃	semidirect
313. C₂×#709	C₂²×C₃	semidirect
314. C₂×#709	C₂²×C₃	semidirect
315. C₂²×D₂₀	C₂²×C₃	semidirect
316. C₂²×C₄×D₅	C₂²×C₃	semidirect
317. C₂²×C₄×D₅	C₂²×C₃	semidirect
318. C₂²×C₄×D₅	C₂²×C₃	semidirect
319. C₂²×Dic₁₀	C₂²×C₃	semidirect
320. C₅×#123	C₂²×C₃	semidirect
321. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
322. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
323. C₅×#121	C₂²×C₃	semidirect
324. C₅×#121	C₂²×C₃	semidirect
325. C₅×#120	C₂²×C₃	semidirect
326. C₄×C₅×D₄	C₂²×C₃	semidirect
327. C₄×C₅×D₄	C₂²×C₃	semidirect
328. C₅×#117	C₂²×C₃	semidirect
329. C₂×C₂²⋊Dic₅	C₂²×C₃	semidirect
330. #4093	C₂²×C₃	semidirect
331. #4090	C₂²×C₃	semidirect
332. #4086	C₂²×C₃	semidirect
333. #4086	C₂²×C₃	semidirect
334. #4085	C₂²×C₃	semidirect
335. #4085	C₂²×C₃	semidirect
336. #4085	C₂²×C₃	semidirect
337. #4085	C₂²×C₃	semidirect
338. #4084	C₂²×C₃	semidirect
339. #4083	C₂²×C₃	semidirect
340. #4083	C₂²×C₃	semidirect
341. #4082	C₂²×C₃	semidirect
342. D₄×Dic₅	C₂²×C₃	semidirect
345. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
346. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
347. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
348. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
349. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
350. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
351. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
352. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
353. C₂×#685	C₂²×C₃	semidirect
354. C₂×#683	C₂²×C₃	semidirect
355. C₂×C₄×Dic₅	C₂²×C₃	semidirect
356. #4043	C₂²×C₃	semidirect
357. #4043	C₂²×C₃	semidirect
358. #4042	C₂²×C₃	semidirect
359. #4042	C₂²×C₃	semidirect
360. #4041	C₂²×C₃	semidirect
361. #4041	C₂²×C₃	semidirect
362. #4041	C₂²×C₃	semidirect
363. #4040	C₂²×C₃	semidirect
364. #4040	C₂²×C₃	semidirect
365. #4039	C₂²×C₃	semidirect
366. #4039	C₂²×C₃	semidirect
367. #4039	C₂²×C₃	semidirect
368. D₅×C₄⋊C₄	C₂²×C₃	semidirect
369. #4034	C₂²×C₃	semidirect
370. #4033	C₂²×C₃	semidirect
371. #4033	C₂²×C₃	semidirect
372. #4032	C₂²×C₃	semidirect
373. #4031	C₂²×C₃	semidirect
374. #4031	C₂²×C₃	semidirect
375. #4030	C₂²×C₃	semidirect
376. #4030	C₂²×C₃	semidirect
377. #4030	C₂²×C₃	semidirect
378. #4030	C₂²×C₃	semidirect
379. #4029	C₂²×C₃	semidirect
380. #4029	C₂²×C₃	semidirect
381. #4028	C₂²×C₃	semidirect
382. #4028	C₂²×C₃	semidirect
383. #4028	C₂²×C₃	semidirect
385. #4027	C₂²×C₃	semidirect
386. #4027	C₂²×C₃	semidirect
387. #4027	C₂²×C₃	semidirect
388. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
389. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
390. #4024	C₂²×C₃	semidirect
391. #4024	C₂²×C₃	semidirect
392. C₄×D₂₀	C₂²×C₃	semidirect
393. C₄×D₂₀	C₂²×C₃	semidirect
394. #4018	C₂²×C₃	semidirect
395. C₄²×D₅	C₂²×C₃	semidirect
428. C₂×C₃×C₄×C₅	C₂×D₄	semidirect
446. C₃×C₂²⋊D₅	C₂×D₄	semidirect
447. C₃×C₂²⋊D₅	#41	semidirect
466. C₃×D₂₀	C₂×D₄	semidirect
478. C₃×C₄×D₅	C₂×D₄	semidirect
482. C₃×Dic₁₀	C₂×D₄	semidirect
495. C₂×C₃×#41	C₂×D₅	semidirect
507. C₂³×C₃×C₄	C₂×D₅	semidirect
521. C₃×#123	C₂×D₅	semidirect
528. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
529. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
542. C₃×#121	C₂×D₅	semidirect
543. C₃×#121	C₂×D₅	semidirect
549. C₃×#120	C₂×D₅	semidirect
572. C₃×C₄×D₄	C₂×D₅	semidirect
573. C₃×C₄×D₄	C₂×D₅	semidirect
575. C₃×#117	C₂×D₅	semidirect
634. #709	C₃×D₄	semidirect
725. #525	C₃×D₅	semidirect
741. C₂²×C₃×C₅	C₂×#41	semidirect
757. C₂×C₃×D₅	C₂×#41	semidirect
772. C₃×Dic₅	C₂×#41	semidirect
926. C₂×C₄×C₅	C₂×C₃×D₄	semidirect
944. C₂²⋊D₅	C₂×C₃×D₄	semidirect
945. C₂²⋊D₅	C₃×#41	semidirect
964. D₂₀	C₂×C₃×D₄	semidirect
976. C₄×D₅	C₂×C₃×D₄	semidirect
980. Dic₁₀	C₂×C₃×D₄	semidirect
993. C₂×#41	C₂×C₃×D₅	semidirect
1005. C₂³×C₄	C₂×C₃×D₅	semidirect
1019. #123	C₂×C₃×D₅	semidirect
1026. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
1027. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
1040. #121	C₂×C₃×D₅	semidirect
1041. #121	C₂×C₃×D₅	semidirect
1047. #120	C₂×C₃×D₅	semidirect
1070. C₄×D₄	C₂×C₃×D₅	semidirect
1071. C₄×D₄	C₂×C₃×D₅	semidirect
1073. #117	C₂×C₃×D₅	semidirect
1171. C₂×C₃×C₄	D₄×D₅	semidirect
1191. C₂²×C₅	C₂×C₃×#41	semidirect
1207. C₂×D₅	C₂×C₃×#41	semidirect
1222. Dic₅	C₂×C₃×#41	semidirect
1345. C₃×C₅	D₄×#41	semidirect
1373. C₂²×C₃	D₅×#41	semidirect
1479. C₂×C₄	C₃×D₄×D₅	semidirect
1498. C₅	C₃×D₄×#41	semidirect
1526. C₂²	C₃×D₅×#41	semidirect
1543. C₃	#10617938	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×#66166	2
C₂×C₃×C₄×C₂²⋊D₅	2
C₃×#65989	2
C₃×#65988	2
C₃×#65967	2
C₃×#65966	2
C₃×#65965	2
C₃×#65964	2
C₃×#65946	2
C₃×#65943	2
C₃×#65933	2
C₃×#65932	2
C₃×#65925	2
C₃×#65924	2
C₃×#65882	2
C₃×#65881	2
C₃×C₄×D₄×D₅	2
C₃×#65858	2
C₃×#65856	2
#10617938	3
C₃×D₄×#41	5

Subgroups — C3×#10617938 #14483034

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10617938 #14483034