Subgroups — C₃×D₅×#546 #14482473

Order 1920.

3800 conjugacy classes of subgroups.

The subgroup lattice has 1636 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×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#66163	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#66140	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#66010	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#65988	C₂	1	2	yes	maximal, complemented
9	C₃×D₅×#123	C₂	1	2	yes	maximal, complemented
10	C₃×#65964	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×D₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#65946	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#65944	C₂	1	2	yes	maximal, complemented
14	C₃×D₅×#121	C₂	1	2	yes	maximal, complemented
15	C₃×D₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#65925	C₂	1	2	yes	maximal, complemented
17	C₃×D₅×#120	C₂	1	2	yes	maximal, complemented
18	C₃×#65888	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#65884	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#65824	C₂	1	2	yes	maximal, complemented
23	C₂×C₃×D₅×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
24	D₅×#546	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₂⁴×C₃×D₅	C₂²	1	2	yes	—
26	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
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	—	2	8	no	—
35	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
36	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
37	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
38	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
39	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×D₄×D₅	C₂²	1	2	yes	complemented
41	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₃×D₄×D₅	C₂²	1	2	yes	complemented
43	C₂×C₃×D₄×D₅	C₂²	1	2	yes	complemented
44	C₂×C₃×#709	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×#709	C₂²	1	2	yes	complemented
46	C₂²×C₃×D₂₀	C₂²	1	1	yes	characteristic, complemented
47	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
48	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
50	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	complemented
51	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₅×#123	C₂²	1	2	yes	complemented
53	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₃×C₅×#121	C₂²	1	2	yes	complemented
55	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
56	C₃×C₅×#120	C₂²	1	2	yes	complemented
57	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
58	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
60	C₃×#4099	C₂²	1	2	yes	complemented
61	C₂×C₃×C₂²⋊Dic₅	C₂²	1	2	yes	complemented
62	C₃×#4093	C₂²	1	1	yes	characteristic, complemented
63	C₃×#4092	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×#4084	C₂²	1	2	yes	complemented
68	C₃×#4084	C₂²	1	1	yes	characteristic, complemented
69	C₃×#4083	C₂²	1	2	yes	complemented
70	C₃×#4083	C₂²	1	2	yes	complemented
71	C₃×#4083	C₂²	1	2	yes	complemented
72	C₃×#4082	C₂²	1	1	yes	characteristic, complemented
73	C₃×#4081	C₂²	1	2	yes	complemented
74	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
75	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4076	C₂²	1	1	yes	characteristic, complemented
77	C₃×#4076	C₂²	1	2	yes	complemented
78	C₃×#4075	C₂²	1	2	yes	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	C₂×C₃×#685	C₂²	1	2	yes	complemented
83	C₂×C₃×#685	C₂²	1	2	yes	complemented
84	C₃×#4070	C₂²	1	1	yes	characteristic, complemented
85	C₃×#4043	C₂²	1	1	yes	characteristic, complemented
86	C₃×#4042	C₂²	1	2	yes	complemented
87	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
88	C₃×#4041	C₂²	1	2	yes	complemented
89	C₃×#4040	C₂²	1	2	yes	complemented
90	C₃×#4040	C₂²	1	2	yes	complemented
91	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
92	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
93	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
94	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
95	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
96	C₃×#4032	C₂²	1	2	yes	complemented
97	C₃×#4031	C₂²	1	2	yes	complemented
98	C₃×#4031	C₂²	1	2	yes	complemented
99	C₃×#4030	C₂²	1	2	yes	complemented
100	C₃×#4030	C₂²	1	2	yes	complemented
101	C₃×#4030	C₂²	1	2	yes	complemented
102	C₃×#4029	C₂²	1	2	yes	complemented
103	C₃×#4029	C₂²	1	2	yes	complemented
104	C₃×#4028	C₂²	1	2	yes	complemented
105	C₃×#4028	C₂²	1	2	yes	complemented
106	C₃×#4028	C₂²	1	2	yes	complemented
107	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
108	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
109	C₃×#4027	C₂²	1	2	yes	complemented
110	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
111	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
112	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
113	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
114	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
115	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
116	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
117	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
119	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₃×#4024	C₂²	1	2	yes	complemented
122	C₃×#4021	C₂²	1	1	yes	characteristic, complemented
123	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
124	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
125	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₃×#546	—	5	1	no	maximal, Hall
127	C₂×D₅×#41	C₂×C₃	1	1	yes	characteristic, complemented
128	C₂²×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
129	C₅×#546	C₂×C₃	1	1	yes	characteristic, complemented
130	#66163	C₂×C₃	1	1	yes	characteristic, complemented
131	#66140	C₂×C₃	1	1	yes	characteristic, complemented
132	#66010	C₂×C₃	1	1	yes	characteristic, complemented
133	D₅×#124	C₂×C₃	1	1	yes	characteristic, complemented
134	#65988	C₂×C₃	1	2	yes	complemented
135	D₅×#123	C₂×C₃	1	2	yes	complemented
136	#65964	C₂×C₃	1	1	yes	characteristic, complemented
137	D₅×C₂²⋊Q₈	C₂×C₃	1	1	yes	characteristic, complemented
138	#65946	C₂×C₃	1	1	yes	characteristic, complemented
139	#65944	C₂×C₃	1	2	yes	complemented
140	D₅×#121	C₂×C₃	1	2	yes	complemented
141	D₅×#121	C₂×C₃	1	1	yes	characteristic, complemented
142	#65925	C₂×C₃	1	2	yes	complemented
143	D₅×#120	C₂×C₃	1	2	yes	complemented
144	#65888	C₂×C₃	1	1	yes	characteristic, complemented
145	#65884	C₂×C₃	1	1	yes	characteristic, complemented
146	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
147	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
148	#65824	C₂×C₃	1	2	yes	complemented
149	C₂×D₅×C₂²⋊C₄	C₂×C₃	1	2	yes	complemented
150	C₂⁴×C₃×C₅	C₂³	1	2	yes	—
151	C₂³×C₃×D₅	—	2	8	no	—
152	C₂³×C₃×D₅	—	2	8	no	—
153	C₂³×C₃×D₅	—	4	4	no	—
154	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
155	C₂³×C₃×D₅	C₂³	1	2	yes	—
156	C₂³×C₃×D₅	C₂³	1	2	yes	—
157	C₂³×C₃×D₅	C₂³	1	2	yes	—
158	C₂³×C₃×D₅	C₂³	1	2	yes	—
159	C₂³×C₃×D₅	C₂³	1	2	yes	—
160	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
161	C₃×C₅×#41	—	2	4	no	—
162	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
163	C₂×C₃×C₅×D₄	—	2	4	no	—
164	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
165	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
166	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
167	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
168	C₂×C₃×C₅×D₄	C₂³	1	2	yes	complemented
169	C₂×C₃×C₅×D₄	C₂³	1	2	yes	complemented
170	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
171	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	complemented
172	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic, complemented
173	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	complemented
174	C₂×C₃×C₂²⋊D₅	—	2	8	no	—
175	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
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	2	yes	—
179	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
180	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
181	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	complemented
182	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	complemented
183	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	complemented
184	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	complemented
185	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
186	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic, complemented
187	C₂²×C₃×Dic₅	C₂³	1	2	yes	complemented
188	C₂²×C₃×Dic₅	C₂³	1	2	yes	complemented
189	C₃×#713	—	2	4	no	—
190	C₃×Q₈×D₅	—	2	4	no	—
191	C₃×#711	—	2	4	no	—
192	C₃×#711	—	2	8	no	—
193	C₃×D₄×D₅	—	2	8	no	—
194	C₃×D₄×D₅	—	2	8	no	—
195	C₃×D₄×D₅	—	2	4	no	—
196	C₃×D₄×D₅	—	2	4	no	—
197	C₃×D₄×D₅	—	2	8	no	—
198	C₃×D₄×D₅	—	2	4	no	—
199	C₃×D₄×D₅	—	2	4	no	—
200	C₃×D₄×D₅	—	4	4	no	—
201	C₃×D₄×D₅	D₄	1	8	yes	complemented
202	C₃×#709	—	2	8	no	—
203	C₃×#709	—	2	4	no	—
204	C₂×C₃×D₂₀	—	2	4	no	—
205	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
206	C₂×C₃×D₂₀	C₂³	1	2	yes	—
207	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
208	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
209	C₂×C₃×D₂₀	C₂³	1	2	yes	complemented
210	C₂×C₃×D₂₀	C₂³	1	2	yes	complemented
211	C₂×C₃×C₄×D₅	—	2	8	no	—
212	C₂×C₃×C₄×D₅	—	2	4	no	—
213	C₂×C₃×C₄×D₅	—	2	4	no	—
214	C₂×C₃×C₄×D₅	—	4	4	no	—
215	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
223	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
225	C₂×C₃×C₄×D₅	C₂³	1	2	yes	complemented
226	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
227	C₂×C₃×C₄×D₅	C₂³	1	2	yes	complemented
228	C₂×C₃×C₄×D₅	C₂³	1	2	yes	complemented
229	C₂×C₃×C₄×D₅	C₂³	1	2	yes	complemented
230	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
231	C₂×C₃×Dic₁₀	C₂³	1	2	yes	complemented
232	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
233	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
234	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
235	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
238	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
239	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
240	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
241	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
242	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
243	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
245	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
246	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
247	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
248	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
249	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
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	2	yes	complemented
255	C₃×#685	C₂³	1	2	yes	complemented
256	C₃×#685	C₂³	1	2	yes	complemented
257	C₃×#685	C₂³	1	2	yes	complemented
258	C₃×#685	C₂³	1	1	yes	characteristic, complemented
259	C₃×#685	C₂³	1	2	yes	complemented
260	C₃×#685	C₂³	1	2	yes	complemented
261	C₃×#685	C₂³	1	1	yes	characteristic, complemented
262	C₃×#685	C₂³	1	2	yes	complemented
263	C₃×#685	C₂³	1	2	yes	complemented
264	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
265	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
266	C₃×C₄⋊Dic₅	C₂³	1	2	yes	complemented
267	C₃×#683	C₂³	1	1	yes	characteristic, complemented
268	C₃×#683	C₂³	1	2	yes	complemented
269	C₃×#683	C₂³	1	2	yes	complemented
270	C₃×#683	C₂³	1	2	yes	complemented
271	C₃×#683	C₂³	1	1	yes	characteristic, complemented
272	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
273	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
274	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
275	C₂²×C₃×#41	—	5	1	no	—
276	C₂³×C₃×D₄	—	5	1	no	—
277	C₃×#546	—	5	1	no	—
278	C₃×#546	—	5	1	no	—
279	C₃×#546	—	5	1	no	—
280	C₃×#546	—	5	2	no	—
281	C₃×#546	—	5	1	no	—
282	C₃×#546	—	5	2	no	—
283	C₃×#546	—	5	1	no	—
284	C₃×#546	—	5	2	no	—
285	C₃×#546	—	5	1	no	—
286	C₃×#546	—	5	1	no	—
287	C₃×#546	—	5	2	no	—
288	C₃×#546	D₅	1	1	yes	characteristic, direct product factor
289	C₂×C₃×#124	—	5	1	no	—
290	C₂×C₃×#123	—	5	2	no	—
291	C₂×C₃×C₂²⋊Q₈	—	5	1	no	—
292	C₂×C₃×#121	—	5	1	no	—
293	C₂×C₃×#121	—	5	2	no	—
294	C₂×C₃×#120	—	5	2	no	—
295	C₂×C₃×C₄×D₄	—	5	1	no	—
296	C₂×C₃×C₄×D₄	—	5	1	no	—
297	C₂²×C₃×C₂²⋊C₄	—	5	2	no	—
298	C₂⁴×D₅	C₂²×C₃	1	2	yes	—
299	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic, complemented
300	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
301	C₂²×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
302	D₅×#41	—	2	8	no	—
303	C₂×#713	C₂²×C₃	1	1	yes	characteristic, complemented
304	C₂×Q₈×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
305	C₂×#711	C₂²×C₃	1	2	yes	complemented
306	C₂×#711	C₂²×C₃	1	1	yes	characteristic, complemented
307	C₂×D₄×D₅	—	2	8	no	—
308	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
309	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
310	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
311	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
312	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
313	C₂×D₄×D₅	C₂²×C₃	1	2	yes	complemented
314	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
315	C₂×D₄×D₅	C₂²×C₃	1	2	yes	complemented
316	C₂×D₄×D₅	C₂²×C₃	1	2	yes	complemented
317	C₂×#709	C₂²×C₃	1	1	yes	characteristic, complemented
318	C₂×#709	C₂²×C₃	1	2	yes	complemented
319	C₂²×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
320	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
321	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
322	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
323	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	complemented
324	C₅×#124	C₂²×C₃	1	1	yes	characteristic, complemented
325	C₅×#123	C₂²×C₃	1	2	yes	complemented
326	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
327	C₅×#121	C₂²×C₃	1	2	yes	complemented
328	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
329	C₅×#120	C₂²×C₃	1	2	yes	complemented
330	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
331	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
332	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
333	#4099	C₂²×C₃	1	2	yes	complemented
334	C₂×C₂²⋊Dic₅	C₂²×C₃	1	2	yes	complemented
335	#4093	C₂²×C₃	1	1	yes	characteristic, complemented
336	#4092	C₂²×C₃	1	1	yes	characteristic, complemented
337	#4085	C₂²×C₃	1	2	yes	complemented
338	#4085	C₂²×C₃	1	2	yes	complemented
339	#4085	C₂²×C₃	1	2	yes	complemented
340	#4084	C₂²×C₃	1	2	yes	complemented
341	#4084	C₂²×C₃	1	1	yes	characteristic, complemented
342	#4083	C₂²×C₃	1	2	yes	complemented
343	#4083	C₂²×C₃	1	2	yes	complemented
344	#4083	C₂²×C₃	1	2	yes	complemented
345	#4082	C₂²×C₃	1	1	yes	characteristic, complemented
346	#4081	C₂²×C₃	1	2	yes	complemented
347	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
348	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
349	#4076	C₂²×C₃	1	1	yes	characteristic, complemented
350	#4076	C₂²×C₃	1	2	yes	complemented
351	#4075	C₂²×C₃	1	2	yes	complemented
352	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
353	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
354	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
355	C₂×#685	C₂²×C₃	1	2	yes	complemented
356	C₂×#685	C₂²×C₃	1	2	yes	complemented
357	#4070	C₂²×C₃	1	1	yes	characteristic, complemented
358	#4043	C₂²×C₃	1	1	yes	characteristic, complemented
359	#4042	C₂²×C₃	1	2	yes	complemented
360	#4041	C₂²×C₃	1	1	yes	characteristic, complemented
361	#4041	C₂²×C₃	1	2	yes	complemented
362	#4040	C₂²×C₃	1	2	yes	complemented
363	#4040	C₂²×C₃	1	2	yes	complemented
364	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
365	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
366	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
367	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
368	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
369	#4032	C₂²×C₃	1	2	yes	complemented
370	#4031	C₂²×C₃	1	2	yes	complemented
371	#4031	C₂²×C₃	1	2	yes	complemented
372	#4030	C₂²×C₃	1	2	yes	complemented
373	#4030	C₂²×C₃	1	2	yes	complemented
374	#4030	C₂²×C₃	1	2	yes	complemented
375	#4029	C₂²×C₃	1	2	yes	complemented
376	#4029	C₂²×C₃	1	2	yes	complemented
377	#4028	C₂²×C₃	1	2	yes	complemented
378	#4028	C₂²×C₃	1	2	yes	complemented
379	#4028	C₂²×C₃	1	2	yes	complemented
380	#4027	C₂²×C₃	1	1	yes	characteristic, complemented
381	#4027	C₂²×C₃	1	1	yes	characteristic, complemented
382	#4027	C₂²×C₃	1	2	yes	complemented
383	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
384	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
385	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
386	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
387	D₅×C₂²⋊C₄	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	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
391	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
392	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
393	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
394	#4024	C₂²×C₃	1	2	yes	complemented
395	#4021	C₂²×C₃	1	1	yes	characteristic, complemented
396	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
397	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
398	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
399	C₂×#546	—	5	1	no	Sylow
400	C₂³×C₃×C₅	—	2	4	no	—
401	C₂³×C₃×C₅	—	2	4	no	—
402	C₂³×C₃×C₅	—	4	2	no	—
403	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
404	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
405	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
406	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
407	C₂²×C₃×D₅	—	2	2	no	—
408	C₂²×C₃×D₅	—	2	4	no	—
409	C₂²×C₃×D₅	—	2	4	no	—
410	C₂²×C₃×D₅	—	2	2	no	—
411	C₂²×C₃×D₅	—	2	4	no	—
412	C₂²×C₃×D₅	—	2	4	no	—
413	C₂²×C₃×D₅	—	2	2	no	—
414	C₂²×C₃×D₅	—	2	4	no	—
415	C₂²×C₃×D₅	—	2	4	no	—
416	C₂²×C₃×D₅	—	2	4	no	—
417	C₂²×C₃×D₅	—	2	2	no	—
418	C₂²×C₃×D₅	—	2	4	no	—
419	C₂²×C₃×D₅	—	2	4	no	—
420	C₂²×C₃×D₅	—	2	4	no	—
421	C₂²×C₃×D₅	—	2	2	no	—
422	C₂²×C₃×D₅	—	2	4	no	—
423	C₂²×C₃×D₅	—	4	2	no	—
424	C₂²×C₃×D₅	—	4	2	no	—
425	C₂²×C₃×D₅	—	4	2	no	—
426	C₂²×C₃×D₅	—	4	32	no	—
427	C₂²×C₃×D₅	C₂×D₄	1	8	yes	—
428	C₂²×C₃×D₅	#41	1	4	yes	complemented
429	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
430	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
431	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
432	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
433	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
434	C₃×C₅×Q₈	—	2	2	no	—
435	C₃×C₅×D₄	—	2	4	no	—
436	C₃×C₅×D₄	—	2	4	no	—
437	C₃×C₅×D₄	—	2	2	no	—
438	C₃×C₅×D₄	—	2	2	no	—
439	C₃×C₅×D₄	—	4	2	no	—
440	C₃×C₅×D₄	C₂×D₄	1	4	yes	complemented
441	C₂×C₃×C₄×C₅	—	2	4	no	—
442	C₂×C₃×C₄×C₅	—	2	2	no	—
443	C₂×C₃×C₄×C₅	—	2	2	no	—
444	C₂×C₃×C₄×C₅	—	4	2	no	—
445	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
446	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
447	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
448	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
449	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
450	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
451	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
452	C₃×C₂²⋊D₅	—	2	4	no	—
453	C₃×C₂²⋊D₅	—	2	4	no	—
454	C₃×C₂²⋊D₅	—	2	2	no	—
455	C₃×C₂²⋊D₅	—	2	4	no	—
456	C₃×C₂²⋊D₅	—	2	4	no	—
457	C₃×C₂²⋊D₅	—	2	2	no	—
458	C₃×C₂²⋊D₅	—	2	4	no	—
459	C₃×C₂²⋊D₅	—	4	2	no	—
460	C₃×C₂²⋊D₅	—	4	2	no	—
461	C₃×C₂²⋊D₅	C₂×D₄	1	8	yes	complemented
462	C₂×C₃×Dic₅	—	2	4	no	—
463	C₂×C₃×Dic₅	—	2	2	no	—
464	C₂×C₃×Dic₅	—	2	2	no	—
465	C₂×C₃×Dic₅	—	4	2	no	—
466	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
467	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
468	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
469	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
470	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
471	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
472	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
473	C₃×D₂₀	—	2	4	no	—
474	C₃×D₂₀	—	2	4	no	—
475	C₃×D₂₀	—	2	2	no	—
476	C₃×D₂₀	—	2	2	no	—
477	C₃×D₂₀	—	4	2	no	—
478	C₃×D₂₀	C₂×D₄	1	4	yes	complemented
479	C₃×C₄×D₅	—	2	2	no	—
480	C₃×C₄×D₅	—	2	2	no	—
481	C₃×C₄×D₅	—	2	4	no	—
482	C₃×C₄×D₅	—	2	4	no	—
483	C₃×C₄×D₅	—	2	4	no	—
484	C₃×C₄×D₅	—	2	2	no	—
485	C₃×C₄×D₅	—	2	2	no	—
486	C₃×C₄×D₅	—	2	4	no	—
487	C₃×C₄×D₅	—	2	2	no	—
488	C₃×C₄×D₅	—	2	2	no	—
489	C₃×C₄×D₅	—	2	2	no	—
490	C₃×C₄×D₅	—	2	2	no	—
491	C₃×C₄×D₅	—	4	2	no	—
492	C₃×C₄×D₅	—	4	2	no	—
493	C₃×C₄×D₅	C₂×D₄	1	4	yes	—
494	C₃×Dic₁₀	—	2	2	no	—
495	C₃×Dic₁₀	—	2	4	no	—
496	C₂⁵×C₃	—	5	2	no	—
497	C₂×C₃×#41	—	5	1	no	—
498	C₂×C₃×#41	—	5	1	no	—
499	C₂×C₃×#41	—	5	2	no	—
500	C₂×C₃×#41	—	5	1	no	—
501	C₂×C₃×#41	—	5	2	no	—
502	C₂×C₃×#41	—	10	8	no	—
503	C₂×C₃×#41	C₂×D₅	1	1	yes	characteristic, complemented
504	C₂²×C₃×Q₈	—	5	1	no	—
505	C₂²×C₃×D₄	—	5	1	no	—
506	C₂²×C₃×D₄	—	5	2	no	—
507	C₂²×C₃×D₄	—	5	2	no	—
508	C₂²×C₃×D₄	—	5	1	no	—
509	C₂²×C₃×D₄	—	5	2	no	—
510	C₂²×C₃×D₄	—	5	1	no	—
511	C₂²×C₃×D₄	—	5	1	no	—
512	C₂²×C₃×D₄	—	5	1	no	—
513	C₂²×C₃×D₄	—	5	2	no	—
514	C₂²×C₃×D₄	—	5	2	no	—
515	C₂²×C₃×D₄	—	5	1	no	—
516	C₂²×C₃×D₄	—	10	8	no	—
517	C₂²×C₃×D₄	C₂×D₅	1	1	yes	characteristic, complemented
518	C₂³×C₃×C₄	—	5	1	no	—
519	C₂³×C₃×C₄	—	5	2	no	—
520	C₂³×C₃×C₄	—	5	1	no	—
521	C₂³×C₃×C₄	—	5	2	no	—
522	C₃×#124	—	5	1	no	—
523	C₃×#124	—	5	1	no	—
524	C₃×#124	—	5	2	no	—
525	C₃×#124	—	5	2	no	—
526	C₃×#124	—	5	1	no	—
527	C₃×#124	C₂×D₅	1	1	yes	characteristic, complemented
528	C₃×#123	—	5	2	no	—
529	C₃×#123	—	5	2	no	—
530	C₃×#123	—	5	2	no	—
531	C₃×#123	—	5	2	no	—
532	C₃×#123	—	5	2	no	—
533	C₃×#123	—	5	2	no	—
534	C₃×#123	—	5	2	no	—
535	C₃×#123	C₂×D₅	1	2	yes	complemented
536	C₃×C₂²⋊Q₈	—	5	1	no	—
537	C₃×C₂²⋊Q₈	—	5	1	no	—
538	C₃×C₂²⋊Q₈	—	5	2	no	—
539	C₃×C₂²⋊Q₈	—	5	1	no	—
540	C₃×C₂²⋊Q₈	—	5	2	no	—
541	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
542	C₃×#121	—	5	1	no	—
543	C₃×#121	—	5	2	no	—
544	C₃×#121	—	5	2	no	—
545	C₃×#121	—	5	2	no	—
546	C₃×#121	—	5	2	no	—
547	C₃×#121	—	5	1	no	—
548	C₃×#121	—	5	2	no	—
549	C₃×#121	—	5	1	no	—
550	C₃×#121	—	5	2	no	—
551	C₃×#121	—	5	2	no	—
552	C₃×#121	—	5	2	no	—
553	C₃×#121	—	5	2	no	—
554	C₃×#121	C₂×D₅	1	1	yes	characteristic, complemented
555	C₃×#121	C₂×D₅	1	2	yes	complemented
556	C₃×#120	—	5	2	no	—
557	C₃×#120	—	5	2	no	—
558	C₃×#120	—	5	2	no	—
559	C₃×#120	—	5	2	no	—
560	C₃×#120	—	5	2	no	—
561	C₃×#120	—	5	2	no	—
562	C₃×#120	—	5	2	no	—
563	C₃×#120	C₂×D₅	1	2	yes	complemented
564	C₃×C₄×D₄	—	5	1	no	—
565	C₃×C₄×D₄	—	5	1	no	—
566	C₃×C₄×D₄	—	5	1	no	—
567	C₃×C₄×D₄	—	5	2	no	—
568	C₃×C₄×D₄	—	5	1	no	—
569	C₃×C₄×D₄	—	5	1	no	—
570	C₃×C₄×D₄	—	5	1	no	—
571	C₃×C₄×D₄	—	5	1	no	—
572	C₃×C₄×D₄	—	5	1	no	—
573	C₃×C₄×D₄	—	5	2	no	—
574	C₃×C₄×D₄	—	5	1	no	—
575	C₃×C₄×D₄	—	5	1	no	—
576	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
577	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
578	C₂×C₃×C₄⋊C₄	—	5	1	no	—
579	C₂×C₃×C₄⋊C₄	—	5	1	no	—
580	C₂×C₃×C₄⋊C₄	—	5	2	no	—
581	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
582	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
583	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
584	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
585	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
586	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
587	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
588	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
589	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
590	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
591	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
592	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
593	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
594	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
595	C₂×C₃×C₂²⋊C₄	C₂×D₅	1	2	yes	complemented
596	C₂×C₃×C₄²	—	5	1	no	—
597	C₂⁴×C₅	C₂³×C₃	1	2	yes	—
598	C₂³×D₅	—	2	8	no	—
599	C₂³×D₅	—	2	8	no	—
600	C₂³×D₅	—	4	4	no	—
601	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
602	C₂³×D₅	C₂³×C₃	1	2	yes	—
603	C₂³×D₅	C₂³×C₃	1	2	yes	—
604	C₂³×D₅	C₂³×C₃	1	2	yes	—
605	C₂³×D₅	C₂³×C₃	1	2	yes	—
606	C₂³×D₅	C₂³×C₃	1	2	yes	—
607	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
608	C₅×#41	—	2	4	no	—
609	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic, complemented
610	C₂×C₅×D₄	—	2	4	no	—
611	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
612	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
613	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
614	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
615	C₂×C₅×D₄	C₂³×C₃	1	2	yes	complemented
616	C₂×C₅×D₄	C₂³×C₃	1	2	yes	complemented
617	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
618	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	complemented
619	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic, complemented
620	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	complemented
621	C₂×C₂²⋊D₅	—	2	8	no	—
622	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
623	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
624	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
625	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
626	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
627	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
628	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	complemented
629	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	complemented
630	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	complemented
631	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	complemented
632	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
633	C₂²×Dic₅	C₂³×C₃	1	2	yes	complemented
634	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
635	C₂²×Dic₅	C₂³×C₃	1	2	yes	complemented
636	#713	—	2	4	no	—
637	Q₈×D₅	—	2	4	no	—
638	#711	—	2	4	no	—
639	#711	—	2	8	no	—
640	D₄×D₅	—	2	8	no	—
641	D₄×D₅	—	2	8	no	—
642	D₄×D₅	—	2	4	no	—
643	D₄×D₅	—	2	4	no	—
644	D₄×D₅	—	2	8	no	—
645	D₄×D₅	—	2	4	no	—
646	D₄×D₅	—	2	4	no	—
647	D₄×D₅	—	4	4	no	—
648	D₄×D₅	C₃×D₄	1	8	yes	complemented
649	#709	—	2	8	no	—
650	#709	—	2	4	no	—
651	C₂×D₂₀	—	2	4	no	—
652	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
653	C₂×D₂₀	C₂³×C₃	1	2	yes	—
654	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
655	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
656	C₂×D₂₀	C₂³×C₃	1	2	yes	complemented
657	C₂×D₂₀	C₂³×C₃	1	2	yes	complemented
658	C₂×C₄×D₅	—	2	8	no	—
659	C₂×C₄×D₅	—	2	4	no	—
660	C₂×C₄×D₅	—	2	4	no	—
661	C₂×C₄×D₅	—	4	4	no	—
662	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
663	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
664	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
665	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
666	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
667	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
668	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
669	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
670	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
671	C₂×C₄×D₅	C₂³×C₃	1	2	yes	complemented
672	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic, complemented
673	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic, complemented
674	C₂×C₄×D₅	C₂³×C₃	1	2	yes	complemented
675	C₂×C₄×D₅	C₂³×C₃	1	2	yes	complemented
676	C₂×C₄×D₅	C₂³×C₃	1	2	yes	complemented
677	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic, complemented
678	C₂×Dic₁₀	C₂³×C₃	1	2	yes	complemented
679	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
680	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
681	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	complemented
682	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
683	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
684	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
685	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
686	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
687	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic, complemented
688	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	complemented
689	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic, complemented
690	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
691	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
692	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	complemented
693	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	complemented
694	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	complemented
695	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	complemented
696	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
697	#685	C₂³×C₃	1	1	yes	characteristic
698	#685	C₂³×C₃	1	1	yes	characteristic
699	#685	C₂³×C₃	1	2	yes	—
700	#685	C₂³×C₃	1	2	yes	—
701	#685	C₂³×C₃	1	2	yes	complemented
702	#685	C₂³×C₃	1	1	yes	characteristic, complemented
703	#685	C₂³×C₃	1	2	yes	complemented
704	#685	C₂³×C₃	1	2	yes	complemented
705	#685	C₂³×C₃	1	2	yes	complemented
706	#685	C₂³×C₃	1	2	yes	complemented
707	#685	C₂³×C₃	1	2	yes	complemented
708	#685	C₂³×C₃	1	2	yes	complemented
709	#685	C₂³×C₃	1	2	yes	complemented
710	#685	C₂³×C₃	1	1	yes	characteristic, complemented
711	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
712	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
713	C₄⋊Dic₅	C₂³×C₃	1	2	yes	complemented
714	#683	C₂³×C₃	1	2	yes	complemented
715	#683	C₂³×C₃	1	2	yes	complemented
716	#683	C₂³×C₃	1	1	yes	characteristic, complemented
717	#683	C₂³×C₃	1	1	yes	characteristic, complemented
718	#683	C₂³×C₃	1	2	yes	complemented
719	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
720	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
721	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic, complemented
722	C₂²×#41	—	5	1	no	—
723	C₂³×D₄	—	5	1	no	—
724	#546	—	5	1	no	—
725	#546	—	5	1	no	—
726	#546	—	5	1	no	—
727	#546	—	5	2	no	—
728	#546	—	5	1	no	—
729	#546	—	5	2	no	—
730	#546	—	5	1	no	—
731	#546	—	5	2	no	—
732	#546	—	5	1	no	—
733	#546	—	5	1	no	—
734	#546	—	5	2	no	—
735	#546	C₃×D₅	1	1	yes	characteristic, direct product factor
736	C₂×#124	—	5	1	no	—
737	C₂×#123	—	5	2	no	—
738	C₂×C₂²⋊Q₈	—	5	1	no	—
739	C₂×#121	—	5	1	no	—
740	C₂×#121	—	5	2	no	—
741	C₂×#120	—	5	2	no	—
742	C₂×C₄×D₄	—	5	1	no	—
743	C₂×C₄×D₄	—	5	1	no	—
744	C₂²×C₂²⋊C₄	—	5	2	no	—
745	C₂²×C₃×C₅	—	2	1	no	—
746	C₂²×C₃×C₅	—	2	2	no	—
747	C₂²×C₃×C₅	—	2	2	no	—
748	C₂²×C₃×C₅	—	2	1	no	—
749	C₂²×C₃×C₅	—	2	1	no	—
750	C₂²×C₃×C₅	—	2	2	no	—
751	C₂²×C₃×C₅	—	2	1	no	—
752	C₂²×C₃×C₅	—	2	2	no	—
753	C₂²×C₃×C₅	—	2	1	no	—
754	C₂²×C₃×C₅	—	2	2	no	—
755	C₂²×C₃×C₅	—	4	8	no	—
756	C₂²×C₃×C₅	C₂²×D₄	1	4	yes	—
757	C₂²×C₃×C₅	C₂×#41	1	2	yes	complemented
758	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
759	C₂×C₃×D₅	—	2	1	no	—
760	C₂×C₃×D₅	—	2	2	no	—
761	C₂×C₃×D₅	—	2	2	no	—
762	C₂×C₃×D₅	—	2	1	no	—
763	C₂×C₃×D₅	—	2	8	no	—
764	C₂×C₃×D₅	—	2	16	no	—
765	C₂×C₃×D₅	—	2	1	no	—
766	C₂×C₃×D₅	—	2	2	no	—
767	C₂×C₃×D₅	—	2	1	no	—
768	C₂×C₃×D₅	—	2	2	no	—
769	C₂×C₃×D₅	—	2	1	no	—
770	C₂×C₃×D₅	—	2	2	no	—
771	C₂×C₃×D₅	—	4	8	no	—
772	C₂×C₃×D₅	—	4	8	no	—
773	C₂×C₃×D₅	—	4	8	no	—
774	C₂×C₃×D₅	—	4	4	no	—
775	C₂×C₃×D₅	—	4	8	no	—
776	C₂×C₃×D₅	C₂²×D₄	1	4	yes	—
777	C₂×C₃×D₅	C₂²×D₄	1	2	yes	—
778	C₂×C₃×D₅	C₂×#41	1	2	yes	—
779	C₂×C₃×D₅	C₂×#41	1	2	yes	complemented
780	C₂×C₃×D₅	H(5,𝔽₂)	1	2	yes	—
781	C₃×C₄×C₅	—	2	2	no	—
782	C₃×C₄×C₅	—	2	1	no	—
783	C₃×C₄×C₅	—	2	1	no	—
784	C₃×C₄×C₅	—	2	1	no	—
785	C₃×C₄×C₅	—	2	1	no	—
786	C₃×C₄×C₅	—	2	2	no	—
787	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
788	C₃×Dic₅	—	2	2	no	—
789	C₃×Dic₅	—	2	1	no	—
790	C₃×Dic₅	—	2	1	no	—
791	C₃×Dic₅	—	2	1	no	—
792	C₃×Dic₅	—	2	1	no	—
793	C₃×Dic₅	—	2	2	no	—
794	C₃×Dic₅	C₂²×D₄	1	2	yes	—
795	C₂⁴×C₃	—	5	1	no	—
796	C₂⁴×C₃	—	5	2	no	—
797	C₂⁴×C₃	—	5	2	no	—
798	C₂⁴×C₃	—	5	1	no	—
799	C₂⁴×C₃	—	5	2	no	—
800	C₂⁴×C₃	—	5	2	no	—
801	C₂⁴×C₃	—	5	2	no	—
802	C₂⁴×C₃	—	10	8	no	—
803	C₂⁴×C₃	—	10	8	no	—
804	C₂⁴×C₃	—	20	4	no	—
805	C₂⁴×C₃	C₂²×D₅	1	2	yes	—
806	C₃×#41	—	2	4	no	—
807	C₃×#41	—	10	8	no	—
808	C₃×#41	—	10	4	no	—
809	C₃×#41	—	10	8	no	—
810	C₃×#41	—	10	4	no	—
811	C₃×#41	—	10	4	no	—
812	C₂×C₃×Q₈	—	5	2	no	—
813	C₂×C₃×Q₈	—	5	1	no	—
814	C₂×C₃×Q₈	—	10	4	no	—
815	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
816	C₂×C₃×D₄	—	2	4	no	—
817	C₂×C₃×D₄	—	5	2	no	—
818	C₂×C₃×D₄	—	5	8	no	—
819	C₂×C₃×D₄	—	5	1	no	—
820	C₂×C₃×D₄	—	5	1	no	—
821	C₂×C₃×D₄	—	5	2	no	—
822	C₂×C₃×D₄	—	5	2	no	—
823	C₂×C₃×D₄	—	5	2	no	—
824	C₂×C₃×D₄	—	5	2	no	—
825	C₂×C₃×D₄	—	5	2	no	—
826	C₂×C₃×D₄	—	5	2	no	—
827	C₂×C₃×D₄	—	5	2	no	—
828	C₂×C₃×D₄	—	5	1	no	—
829	C₂×C₃×D₄	—	5	1	no	—
830	C₂×C₃×D₄	—	5	2	no	—
831	C₂×C₃×D₄	—	5	1	no	—
832	C₂×C₃×D₄	—	5	2	no	—
833	C₂×C₃×D₄	—	5	2	no	—
834	C₂×C₃×D₄	—	10	4	no	—
835	C₂×C₃×D₄	—	10	4	no	—
836	C₂×C₃×D₄	—	10	8	no	—
837	C₂×C₃×D₄	—	10	4	no	—
838	C₂×C₃×D₄	—	10	4	no	—
839	C₂×C₃×D₄	—	10	8	no	—
840	C₂×C₃×D₄	—	10	8	no	—
841	C₂×C₃×D₄	—	10	8	no	—
842	C₂×C₃×D₄	—	10	4	no	—
843	C₂×C₃×D₄	—	20	4	no	—
844	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
845	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
846	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
847	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
848	C₂×C₃×D₄	C₂²×D₅	1	2	yes	complemented
849	C₂×C₃×D₄	C₂²×D₅	1	2	yes	complemented
850	C₂²×C₃×C₄	—	5	1	no	—
851	C₂²×C₃×C₄	—	5	1	no	—
852	C₂²×C₃×C₄	—	5	2	no	—
853	C₂²×C₃×C₄	—	5	1	no	—
854	C₂²×C₃×C₄	—	5	2	no	—
855	C₂²×C₃×C₄	—	5	1	no	—
856	C₂²×C₃×C₄	—	5	1	no	—
857	C₂²×C₃×C₄	—	5	2	no	—
858	C₂²×C₃×C₄	—	5	1	no	—
859	C₂²×C₃×C₄	—	5	2	no	—
860	C₂²×C₃×C₄	—	5	1	no	—
861	C₂²×C₃×C₄	—	5	1	no	—
862	C₂²×C₃×C₄	—	5	1	no	—
863	C₂²×C₃×C₄	—	5	2	no	—
864	C₂²×C₃×C₄	—	5	2	no	—
865	C₂²×C₃×C₄	—	5	1	no	—
866	C₂²×C₃×C₄	—	5	1	no	—
867	C₂²×C₃×C₄	—	5	2	no	—
868	C₂²×C₃×C₄	—	5	2	no	—
869	C₂²×C₃×C₄	—	10	4	no	—
870	C₂²×C₃×C₄	—	10	4	no	—
871	C₂²×C₃×C₄	—	10	8	no	—
872	C₂²×C₃×C₄	—	20	4	no	—
873	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
874	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	complemented
875	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic, complemented
876	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	complemented
877	C₃×C₄⋊C₄	—	5	2	no	—
878	C₃×C₄⋊C₄	—	5	1	no	—
879	C₃×C₄⋊C₄	—	5	1	no	—
880	C₃×C₄⋊C₄	—	5	2	no	—
881	C₃×C₄⋊C₄	—	5	2	no	—
882	C₃×C₄⋊C₄	—	5	1	no	—
883	C₃×C₄⋊C₄	—	5	1	no	—
884	C₃×C₄⋊C₄	—	5	2	no	—
885	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
886	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
887	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	complemented
888	C₃×C₂²⋊C₄	—	5	1	no	—
889	C₃×C₂²⋊C₄	—	5	2	no	—
890	C₃×C₂²⋊C₄	—	5	2	no	—
891	C₃×C₂²⋊C₄	—	5	2	no	—
892	C₃×C₂²⋊C₄	—	5	2	no	—
893	C₃×C₂²⋊C₄	—	5	1	no	—
894	C₃×C₂²⋊C₄	—	5	2	no	—
895	C₃×C₂²⋊C₄	—	5	1	no	—
896	C₃×C₂²⋊C₄	—	5	1	no	—
897	C₃×C₂²⋊C₄	—	5	2	no	—
898	C₃×C₂²⋊C₄	—	5	2	no	—
899	C₃×C₂²⋊C₄	—	5	2	no	—
900	C₃×C₂²⋊C₄	—	5	2	no	—
901	C₃×C₂²⋊C₄	—	5	2	no	—
902	C₃×C₂²⋊C₄	—	5	2	no	—
903	C₃×C₂²⋊C₄	—	5	2	no	—
904	C₃×C₂²⋊C₄	—	5	2	no	—
905	C₃×C₂²⋊C₄	—	5	1	no	—
906	C₃×C₂²⋊C₄	—	5	1	no	—
907	C₃×C₂²⋊C₄	—	5	2	no	—
908	C₃×C₂²⋊C₄	—	5	2	no	—
909	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
910	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
911	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
912	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
913	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
914	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
915	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
916	C₃×C₄²	—	5	1	no	—
917	C₃×C₄²	—	5	1	no	—
918	C₃×C₄²	—	5	1	no	—
919	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
920	C₂³×C₅	—	2	4	no	—
921	C₂³×C₅	—	2	4	no	—
922	C₂³×C₅	—	4	2	no	—
923	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
924	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
925	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
926	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
927	C₂²×D₅	—	2	2	no	—
928	C₂²×D₅	—	2	4	no	—
929	C₂²×D₅	—	2	4	no	—
930	C₂²×D₅	—	2	2	no	—
931	C₂²×D₅	—	2	4	no	—
932	C₂²×D₅	—	2	4	no	—
933	C₂²×D₅	—	2	2	no	—
934	C₂²×D₅	—	2	4	no	—
935	C₂²×D₅	—	2	4	no	—
936	C₂²×D₅	—	2	4	no	—
937	C₂²×D₅	—	2	2	no	—
938	C₂²×D₅	—	2	4	no	—
939	C₂²×D₅	—	2	4	no	—
940	C₂²×D₅	—	2	4	no	—
941	C₂²×D₅	—	2	2	no	—
942	C₂²×D₅	—	2	4	no	—
943	C₂²×D₅	—	4	2	no	—
944	C₂²×D₅	—	4	2	no	—
945	C₂²×D₅	—	4	2	no	—
946	C₂²×D₅	—	4	32	no	—
947	C₂²×D₅	C₂×C₃×D₄	1	8	yes	—
948	C₂²×D₅	C₃×#41	1	4	yes	complemented
949	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
950	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
951	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
952	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
953	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
954	C₅×Q₈	—	2	2	no	—
955	C₅×D₄	—	2	4	no	—
956	C₅×D₄	—	2	4	no	—
957	C₅×D₄	—	2	2	no	—
958	C₅×D₄	—	2	2	no	—
959	C₅×D₄	—	4	2	no	—
960	C₅×D₄	C₂×C₃×D₄	1	4	yes	complemented
961	C₂×C₄×C₅	—	2	4	no	—
962	C₂×C₄×C₅	—	2	2	no	—
963	C₂×C₄×C₅	—	2	2	no	—
964	C₂×C₄×C₅	—	4	2	no	—
965	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
966	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
967	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
968	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
969	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
970	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
971	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
972	C₂²⋊D₅	—	2	4	no	—
973	C₂²⋊D₅	—	2	4	no	—
974	C₂²⋊D₅	—	2	2	no	—
975	C₂²⋊D₅	—	2	4	no	—
976	C₂²⋊D₅	—	2	4	no	—
977	C₂²⋊D₅	—	2	2	no	—
978	C₂²⋊D₅	—	2	4	no	—
979	C₂²⋊D₅	—	4	2	no	—
980	C₂²⋊D₅	—	4	2	no	—
981	C₂²⋊D₅	C₂×C₃×D₄	1	8	yes	complemented
982	C₂×Dic₅	—	2	4	no	—
983	C₂×Dic₅	—	2	2	no	—
984	C₂×Dic₅	—	2	2	no	—
985	C₂×Dic₅	—	4	2	no	—
986	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
987	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
988	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
989	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
990	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
991	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
992	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
993	D₂₀	—	2	4	no	—
994	D₂₀	—	2	4	no	—
995	D₂₀	—	2	2	no	—
996	D₂₀	—	2	2	no	—
997	D₂₀	—	4	2	no	—
998	D₂₀	C₂×C₃×D₄	1	4	yes	complemented
999	C₄×D₅	—	2	2	no	—
1000	C₄×D₅	—	2	2	no	—
1001	C₄×D₅	—	2	4	no	—
1002	C₄×D₅	—	2	4	no	—
1003	C₄×D₅	—	2	4	no	—
1004	C₄×D₅	—	2	2	no	—
1005	C₄×D₅	—	2	2	no	—
1006	C₄×D₅	—	2	4	no	—
1007	C₄×D₅	—	2	2	no	—
1008	C₄×D₅	—	2	2	no	—
1009	C₄×D₅	—	2	2	no	—
1010	C₄×D₅	—	2	2	no	—
1011	C₄×D₅	—	4	2	no	—
1012	C₄×D₅	—	4	2	no	—
1013	C₄×D₅	C₂×C₃×D₄	1	4	yes	—
1014	Dic₁₀	—	2	2	no	—
1015	Dic₁₀	—	2	4	no	—
1016	C₂⁵	—	5	2	no	—
1017	C₂×#41	—	5	1	no	—
1018	C₂×#41	—	5	1	no	—
1019	C₂×#41	—	5	2	no	—
1020	C₂×#41	—	5	1	no	—
1021	C₂×#41	—	5	2	no	—
1022	C₂×#41	—	10	8	no	—
1023	C₂×#41	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1024	C₂²×Q₈	—	5	1	no	—
1025	C₂²×D₄	—	5	1	no	—
1026	C₂²×D₄	—	5	2	no	—
1027	C₂²×D₄	—	5	1	no	—
1028	C₂²×D₄	—	5	2	no	—
1029	C₂²×D₄	—	5	1	no	—
1030	C₂²×D₄	—	5	2	no	—
1031	C₂²×D₄	—	5	1	no	—
1032	C₂²×D₄	—	5	1	no	—
1033	C₂²×D₄	—	5	2	no	—
1034	C₂²×D₄	—	5	2	no	—
1035	C₂²×D₄	—	5	1	no	—
1036	C₂²×D₄	—	10	8	no	—
1037	C₂²×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1038	C₂³×C₄	—	5	1	no	—
1039	C₂³×C₄	—	5	2	no	—
1040	C₂³×C₄	—	5	1	no	—
1041	C₂³×C₄	—	5	2	no	—
1042	#124	—	5	1	no	—
1043	#124	—	5	1	no	—
1044	#124	—	5	2	no	—
1045	#124	—	5	2	no	—
1046	#124	—	5	1	no	—
1047	#124	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1048	#123	—	5	2	no	—
1049	#123	—	5	2	no	—
1050	#123	—	5	2	no	—
1051	#123	—	5	2	no	—
1052	#123	—	5	2	no	—
1053	#123	—	5	2	no	—
1054	#123	—	5	2	no	—
1055	#123	C₂×C₃×D₅	1	2	yes	complemented
1056	C₂²⋊Q₈	—	5	1	no	—
1057	C₂²⋊Q₈	—	5	1	no	—
1058	C₂²⋊Q₈	—	5	2	no	—
1059	C₂²⋊Q₈	—	5	1	no	—
1060	C₂²⋊Q₈	—	5	2	no	—
1061	C₂²⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1062	#121	—	5	1	no	—
1063	#121	—	5	2	no	—
1064	#121	—	5	2	no	—
1065	#121	—	5	2	no	—
1066	#121	—	5	2	no	—
1067	#121	—	5	1	no	—
1068	#121	—	5	2	no	—
1069	#121	—	5	1	no	—
1070	#121	—	5	2	no	—
1071	#121	—	5	2	no	—
1072	#121	—	5	2	no	—
1073	#121	—	5	2	no	—
1074	#121	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1075	#121	C₂×C₃×D₅	1	2	yes	complemented
1076	#120	—	5	2	no	—
1077	#120	—	5	2	no	—
1078	#120	—	5	2	no	—
1079	#120	—	5	2	no	—
1080	#120	—	5	2	no	—
1081	#120	—	5	2	no	—
1082	#120	—	5	2	no	—
1083	#120	C₂×C₃×D₅	1	2	yes	complemented
1084	C₄×D₄	—	5	1	no	—
1085	C₄×D₄	—	5	1	no	—
1086	C₄×D₄	—	5	1	no	—
1087	C₄×D₄	—	5	2	no	—
1088	C₄×D₄	—	5	1	no	—
1089	C₄×D₄	—	5	1	no	—
1090	C₄×D₄	—	5	1	no	—
1091	C₄×D₄	—	5	1	no	—
1092	C₄×D₄	—	5	1	no	—
1093	C₄×D₄	—	5	2	no	—
1094	C₄×D₄	—	5	1	no	—
1095	C₄×D₄	—	5	1	no	—
1096	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1097	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1098	C₂×C₄⋊C₄	—	5	1	no	—
1099	C₂×C₄⋊C₄	—	5	1	no	—
1100	C₂×C₄⋊C₄	—	5	2	no	—
1101	C₂×C₂²⋊C₄	—	5	2	no	—
1102	C₂×C₂²⋊C₄	—	5	2	no	—
1103	C₂×C₂²⋊C₄	—	5	2	no	—
1104	C₂×C₂²⋊C₄	—	5	1	no	—
1105	C₂×C₂²⋊C₄	—	5	2	no	—
1106	C₂×C₂²⋊C₄	—	5	2	no	—
1107	C₂×C₂²⋊C₄	—	5	2	no	—
1108	C₂×C₂²⋊C₄	—	5	2	no	—
1109	C₂×C₂²⋊C₄	—	5	2	no	—
1110	C₂×C₂²⋊C₄	—	5	2	no	—
1111	C₂×C₂²⋊C₄	—	5	2	no	—
1112	C₂×C₂²⋊C₄	—	5	2	no	—
1113	C₂×C₂²⋊C₄	—	5	1	no	—
1114	C₂×C₂²⋊C₄	—	5	2	no	—
1115	C₂×C₂²⋊C₄	C₂×C₃×D₅	1	2	yes	complemented
1116	C₂×C₄²	—	5	1	no	—
1117	C₂×C₃×C₅	—	2	2	no	—
1118	C₂×C₃×C₅	—	2	4	no	—
1119	C₂×C₃×C₅	—	4	2	no	—
1120	C₂×C₃×C₅	—	4	1	no	—
1121	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
1122	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1123	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1124	C₃×D₅	—	2	2	no	—
1125	C₃×D₅	—	2	4	no	—
1126	C₃×D₅	—	4	1	no	—
1127	C₃×D₅	—	4	2	no	—
1128	C₃×D₅	#546	1	4	yes	direct product factor
1129	C₂³×C₃	—	2	4	no	—
1130	C₂³×C₃	—	2	4	no	—
1131	C₂³×C₃	—	4	2	no	—
1132	C₂³×C₃	—	5	1	no	—
1133	C₂³×C₃	—	5	8	no	—
1134	C₂³×C₃	—	5	4	no	—
1135	C₂³×C₃	—	5	1	no	—
1136	C₂³×C₃	—	5	2	no	—
1137	C₂³×C₃	—	5	2	no	—
1138	C₂³×C₃	—	5	1	no	—
1139	C₂³×C₃	—	10	2	no	—
1140	C₂³×C₃	—	10	4	no	—
1141	C₂³×C₃	—	10	4	no	—
1142	C₂³×C₃	—	10	2	no	—
1143	C₂³×C₃	—	10	2	no	—
1144	C₂³×C₃	—	10	4	no	—
1145	C₂³×C₃	—	10	4	no	—
1146	C₂³×C₃	—	10	4	no	—
1147	C₂³×C₃	—	10	2	no	—
1148	C₂³×C₃	—	10	2	no	—
1149	C₂³×C₃	—	10	4	no	—
1150	C₂³×C₃	—	10	4	no	—
1151	C₂³×C₃	—	10	4	no	—
1152	C₂³×C₃	—	10	4	no	—
1153	C₂³×C₃	—	10	4	no	—
1154	C₂³×C₃	—	10	4	no	—
1155	C₂³×C₃	—	20	2	no	—
1156	C₂³×C₃	—	20	2	no	—
1157	C₂³×C₃	—	20	2	no	—
1158	C₂³×C₃	—	20	32	no	—
1159	C₂³×C₃	C₂³×D₅	1	2	yes	—
1160	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1161	C₂³×C₃	C₂³×D₅	1	2	yes	—
1162	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1163	C₃×Q₈	—	2	2	no	—
1164	C₃×Q₈	—	10	4	no	—
1165	C₃×Q₈	—	10	2	no	—
1166	C₃×D₄	—	2	4	no	—
1167	C₃×D₄	—	2	4	no	—
1168	C₃×D₄	—	2	2	no	—
1169	C₃×D₄	—	2	2	no	—
1170	C₃×D₄	—	4	2	no	—
1171	C₃×D₄	—	5	8	no	—
1172	C₃×D₄	—	5	4	no	—
1173	C₃×D₄	—	10	2	no	—
1174	C₃×D₄	—	10	4	no	—
1175	C₃×D₄	—	10	4	no	—
1176	C₃×D₄	—	10	4	no	—
1177	C₃×D₄	—	10	2	no	—
1178	C₃×D₄	—	10	4	no	—
1179	C₃×D₄	—	10	4	no	—
1180	C₃×D₄	—	10	4	no	—
1181	C₃×D₄	—	10	4	no	—
1182	C₃×D₄	—	10	2	no	—
1183	C₃×D₄	—	10	2	no	—
1184	C₃×D₄	—	20	2	no	—
1185	C₃×D₄	—	20	2	no	—
1186	C₃×D₄	—	20	2	no	—
1187	C₃×D₄	D₄×D₅	1	4	yes	complemented
1188	C₂×C₃×C₄	—	2	4	no	—
1189	C₂×C₃×C₄	—	2	2	no	—
1190	C₂×C₃×C₄	—	2	2	no	—
1191	C₂×C₃×C₄	—	4	2	no	—
1192	C₂×C₃×C₄	—	5	1	no	—
1193	C₂×C₃×C₄	—	5	4	no	—
1194	C₂×C₃×C₄	—	5	1	no	—
1195	C₂×C₃×C₄	—	5	1	no	—
1196	C₂×C₃×C₄	—	5	2	no	—
1197	C₂×C₃×C₄	—	5	1	no	—
1198	C₂×C₃×C₄	—	5	2	no	—
1199	C₂×C₃×C₄	—	5	1	no	—
1200	C₂×C₃×C₄	—	10	2	no	—
1201	C₂×C₃×C₄	—	10	2	no	—
1202	C₂×C₃×C₄	—	10	2	no	—
1203	C₂×C₃×C₄	—	10	2	no	—
1204	C₂×C₃×C₄	—	10	4	no	—
1205	C₂×C₃×C₄	—	10	4	no	—
1206	C₂×C₃×C₄	—	10	4	no	—
1207	C₂×C₃×C₄	—	10	2	no	—
1208	C₂×C₃×C₄	—	10	4	no	—
1209	C₂×C₃×C₄	—	10	2	no	—
1210	C₂×C₃×C₄	—	10	2	no	—
1211	C₂×C₃×C₄	—	10	2	no	—
1212	C₂×C₃×C₄	—	10	4	no	—
1213	C₂×C₃×C₄	—	10	2	no	—
1214	C₂×C₃×C₄	—	10	2	no	—
1215	C₂×C₃×C₄	—	20	2	no	—
1216	C₂×C₃×C₄	—	20	2	no	—
1217	C₂×C₃×C₄	—	20	2	no	—
1218	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1219	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1220	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1221	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1222	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1223	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1224	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1225	C₂²×C₅	—	2	1	no	—
1226	C₂²×C₅	—	2	2	no	—
1227	C₂²×C₅	—	2	2	no	—
1228	C₂²×C₅	—	2	1	no	—
1229	C₂²×C₅	—	2	1	no	—
1230	C₂²×C₅	—	2	2	no	—
1231	C₂²×C₅	—	2	1	no	—
1232	C₂²×C₅	—	2	2	no	—
1233	C₂²×C₅	—	2	1	no	—
1234	C₂²×C₅	—	2	2	no	—
1235	C₂²×C₅	—	4	8	no	—
1236	C₂²×C₅	C₂²×C₃×D₄	1	4	yes	—
1237	C₂²×C₅	C₂×C₃×#41	1	2	yes	complemented
1238	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1239	C₂×D₅	—	2	1	no	—
1240	C₂×D₅	—	2	2	no	—
1241	C₂×D₅	—	2	2	no	—
1242	C₂×D₅	—	2	1	no	—
1243	C₂×D₅	—	2	8	no	—
1244	C₂×D₅	—	2	16	no	—
1245	C₂×D₅	—	2	1	no	—
1246	C₂×D₅	—	2	2	no	—
1247	C₂×D₅	—	2	1	no	—
1248	C₂×D₅	—	2	2	no	—
1249	C₂×D₅	—	2	1	no	—
1250	C₂×D₅	—	2	2	no	—
1251	C₂×D₅	—	4	8	no	—
1252	C₂×D₅	—	4	8	no	—
1253	C₂×D₅	—	4	8	no	—
1254	C₂×D₅	—	4	4	no	—
1255	C₂×D₅	—	4	8	no	—
1256	C₂×D₅	C₂²×C₃×D₄	1	4	yes	—
1257	C₂×D₅	C₂²×C₃×D₄	1	2	yes	—
1258	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1259	C₂×D₅	C₂×C₃×#41	1	2	yes	complemented
1260	C₂×D₅	C₃×H(5,𝔽₂)	1	2	yes	—
1261	C₄×C₅	—	2	2	no	—
1262	C₄×C₅	—	2	1	no	—
1263	C₄×C₅	—	2	1	no	—
1264	C₄×C₅	—	2	1	no	—
1265	C₄×C₅	—	2	1	no	—
1266	C₄×C₅	—	2	2	no	—
1267	C₄×C₅	C₂²×C₃×D₄	1	2	yes	—
1268	Dic₅	—	2	2	no	—
1269	Dic₅	—	2	1	no	—
1270	Dic₅	—	2	1	no	—
1271	Dic₅	—	2	1	no	—
1272	Dic₅	—	2	1	no	—
1273	Dic₅	—	2	2	no	—
1274	Dic₅	C₂²×C₃×D₄	1	2	yes	—
1275	C₂⁴	—	5	1	no	—
1276	C₂⁴	—	5	2	no	—
1277	C₂⁴	—	5	2	no	—
1278	C₂⁴	—	5	1	no	—
1279	C₂⁴	—	5	2	no	—
1280	C₂⁴	—	5	2	no	—
1281	C₂⁴	—	5	2	no	—
1282	C₂⁴	—	10	8	no	—
1283	C₂⁴	—	10	8	no	—
1284	C₂⁴	—	20	4	no	—
1285	C₂⁴	C₂²×C₃×D₅	1	2	yes	—
1286	#41	—	2	4	no	—
1287	#41	—	10	8	no	—
1288	#41	—	10	4	no	—
1289	#41	—	10	8	no	—
1290	#41	—	10	4	no	—
1291	#41	—	10	4	no	—
1292	C₂×Q₈	—	5	2	no	—
1293	C₂×Q₈	—	5	1	no	—
1294	C₂×Q₈	—	10	4	no	—
1295	C₂×Q₈	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1296	C₂×D₄	—	2	4	no	—
1297	C₂×D₄	—	5	2	no	—
1298	C₂×D₄	—	5	8	no	—
1299	C₂×D₄	—	5	1	no	—
1300	C₂×D₄	—	5	1	no	—
1301	C₂×D₄	—	5	2	no	—
1302	C₂×D₄	—	5	2	no	—
1303	C₂×D₄	—	5	2	no	—
1304	C₂×D₄	—	5	2	no	—
1305	C₂×D₄	—	5	2	no	—
1306	C₂×D₄	—	5	2	no	—
1307	C₂×D₄	—	5	2	no	—
1308	C₂×D₄	—	5	1	no	—
1309	C₂×D₄	—	5	1	no	—
1310	C₂×D₄	—	5	2	no	—
1311	C₂×D₄	—	5	2	no	—
1312	C₂×D₄	—	5	1	no	—
1313	C₂×D₄	—	5	2	no	—
1314	C₂×D₄	—	10	4	no	—
1315	C₂×D₄	—	10	4	no	—
1316	C₂×D₄	—	10	8	no	—
1317	C₂×D₄	—	10	4	no	—
1318	C₂×D₄	—	10	8	no	—
1319	C₂×D₄	—	10	8	no	—
1320	C₂×D₄	—	10	4	no	—
1321	C₂×D₄	—	10	8	no	—
1322	C₂×D₄	—	10	4	no	—
1323	C₂×D₄	—	20	4	no	—
1324	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1325	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1326	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1327	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1328	C₂×D₄	C₂²×C₃×D₅	1	2	yes	complemented
1329	C₂×D₄	C₂²×C₃×D₅	1	2	yes	complemented
1330	C₂²×C₄	—	5	1	no	—
1331	C₂²×C₄	—	5	2	no	—
1332	C₂²×C₄	—	5	1	no	—
1333	C₂²×C₄	—	5	1	no	—
1334	C₂²×C₄	—	5	2	no	—
1335	C₂²×C₄	—	5	1	no	—
1336	C₂²×C₄	—	5	1	no	—
1337	C₂²×C₄	—	5	2	no	—
1338	C₂²×C₄	—	5	1	no	—
1339	C₂²×C₄	—	5	2	no	—
1340	C₂²×C₄	—	5	2	no	—
1341	C₂²×C₄	—	5	2	no	—
1342	C₂²×C₄	—	5	1	no	—
1343	C₂²×C₄	—	5	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	5	1	no	—
1347	C₂²×C₄	—	5	2	no	—
1348	C₂²×C₄	—	5	2	no	—
1349	C₂²×C₄	—	10	4	no	—
1350	C₂²×C₄	—	10	4	no	—
1351	C₂²×C₄	—	10	8	no	—
1352	C₂²×C₄	—	20	4	no	—
1353	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1354	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	complemented
1355	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1356	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	complemented
1357	C₄⋊C₄	—	5	2	no	—
1358	C₄⋊C₄	—	5	1	no	—
1359	C₄⋊C₄	—	5	1	no	—
1360	C₄⋊C₄	—	5	1	no	—
1361	C₄⋊C₄	—	5	1	no	—
1362	C₄⋊C₄	—	5	2	no	—
1363	C₄⋊C₄	—	5	2	no	—
1364	C₄⋊C₄	—	5	2	no	—
1365	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1366	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1367	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1368	C₂²⋊C₄	—	5	1	no	—
1369	C₂²⋊C₄	—	5	2	no	—
1370	C₂²⋊C₄	—	5	2	no	—
1371	C₂²⋊C₄	—	5	2	no	—
1372	C₂²⋊C₄	—	5	2	no	—
1373	C₂²⋊C₄	—	5	1	no	—
1374	C₂²⋊C₄	—	5	2	no	—
1375	C₂²⋊C₄	—	5	1	no	—
1376	C₂²⋊C₄	—	5	1	no	—
1377	C₂²⋊C₄	—	5	2	no	—
1378	C₂²⋊C₄	—	5	2	no	—
1379	C₂²⋊C₄	—	5	2	no	—
1380	C₂²⋊C₄	—	5	2	no	—
1381	C₂²⋊C₄	—	5	2	no	—
1382	C₂²⋊C₄	—	5	2	no	—
1383	C₂²⋊C₄	—	5	2	no	—
1384	C₂²⋊C₄	—	5	2	no	—
1385	C₂²⋊C₄	—	5	1	no	—
1386	C₂²⋊C₄	—	5	1	no	—
1387	C₂²⋊C₄	—	5	2	no	—
1388	C₂²⋊C₄	—	5	2	no	—
1389	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1390	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1391	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1392	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1393	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1394	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1395	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	complemented
1396	C₄²	—	5	1	no	—
1397	C₄²	—	5	1	no	—
1398	C₄²	—	5	1	no	—
1399	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic, complemented
1400	C₃×C₅	C₂×#546	1	1	yes	characteristic, complemented, Hall
1401	C₂²×C₃	—	2	1	no	—
1402	C₂²×C₃	—	2	2	no	—
1403	C₂²×C₃	—	2	2	no	—
1404	C₂²×C₃	—	2	1	no	—
1405	C₂²×C₃	—	2	1	no	—
1406	C₂²×C₃	—	2	2	no	—
1407	C₂²×C₃	—	2	1	no	—
1408	C₂²×C₃	—	2	2	no	—
1409	C₂²×C₃	—	2	1	no	—
1410	C₂²×C₃	—	2	2	no	—
1411	C₂²×C₃	—	4	8	no	—
1412	C₂²×C₃	—	5	2	no	—
1413	C₂²×C₃	—	5	2	no	—
1414	C₂²×C₃	—	5	2	no	—
1415	C₂²×C₃	—	5	4	no	—
1416	C₂²×C₃	—	5	2	no	—
1417	C₂²×C₃	—	10	16	no	—
1418	C₂²×C₃	—	10	8	no	—
1419	C₂²×C₃	—	10	1	no	—
1420	C₂²×C₃	—	10	2	no	—
1421	C₂²×C₃	—	10	2	no	—
1422	C₂²×C₃	—	10	1	no	—
1423	C₂²×C₃	—	10	1	no	—
1424	C₂²×C₃	—	10	2	no	—
1425	C₂²×C₃	—	10	1	no	—
1426	C₂²×C₃	—	10	2	no	—
1427	C₂²×C₃	—	10	1	no	—
1428	C₂²×C₃	—	10	2	no	—
1429	C₂²×C₃	—	20	8	no	—
1430	C₂²×C₃	—	20	8	no	—
1431	C₂²×C₃	—	20	4	no	—
1432	C₂²×C₃	—	20	8	no	—
1433	C₂²×C₃	—	20	8	no	—
1434	C₂²×C₃	C₂×D₄×D₅	1	4	yes	—
1435	C₂²×C₃	D₅×#41	1	2	yes	complemented
1436	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1437	C₃×C₄	—	2	1	no	—
1438	C₃×C₄	—	2	1	no	—
1439	C₃×C₄	—	2	2	no	—
1440	C₃×C₄	—	2	1	no	—
1441	C₃×C₄	—	2	1	no	—
1442	C₃×C₄	—	2	2	no	—
1443	C₃×C₄	—	5	2	no	—
1444	C₃×C₄	—	10	1	no	—
1445	C₃×C₄	—	10	1	no	—
1446	C₃×C₄	—	10	2	no	—
1447	C₃×C₄	—	10	1	no	—
1448	C₃×C₄	—	10	1	no	—
1449	C₃×C₄	—	10	2	no	—
1450	C₃×C₄	C₂×D₄×D₅	1	2	yes	—
1451	C₂×C₅	—	2	2	no	—
1452	C₂×C₅	—	2	4	no	—
1453	C₂×C₅	—	4	2	no	—
1454	C₂×C₅	—	4	1	no	—
1455	C₂×C₅	C₂³×C₃×D₄	1	1	yes	characteristic
1456	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1457	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1458	D₅	—	2	2	no	—
1459	D₅	—	2	4	no	—
1460	D₅	—	4	2	no	—
1461	D₅	—	4	1	no	—
1462	D₅	C₃×#546	1	4	yes	direct product factor
1463	C₂³	—	2	4	no	—
1464	C₂³	—	2	4	no	—
1465	C₂³	—	4	2	no	—
1466	C₂³	—	5	1	no	—
1467	C₂³	—	5	8	no	—
1468	C₂³	—	5	4	no	—
1469	C₂³	—	5	1	no	—
1470	C₂³	—	5	2	no	—
1471	C₂³	—	5	2	no	—
1472	C₂³	—	5	1	no	—
1473	C₂³	—	10	2	no	—
1474	C₂³	—	10	4	no	—
1475	C₂³	—	10	4	no	—
1476	C₂³	—	10	2	no	—
1477	C₂³	—	10	2	no	—
1478	C₂³	—	10	4	no	—
1479	C₂³	—	10	4	no	—
1480	C₂³	—	10	4	no	—
1481	C₂³	—	10	2	no	—
1482	C₂³	—	10	2	no	—
1483	C₂³	—	10	4	no	—
1484	C₂³	—	10	4	no	—
1485	C₂³	—	10	4	no	—
1486	C₂³	—	10	4	no	—
1487	C₂³	—	10	4	no	—
1488	C₂³	—	10	4	no	—
1489	C₂³	—	20	2	no	—
1490	C₂³	—	20	2	no	—
1491	C₂³	—	20	2	no	—
1492	C₂³	—	20	32	no	—
1493	C₂³	C₂³×C₃×D₅	1	2	yes	—
1494	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1495	C₂³	C₂³×C₃×D₅	1	2	yes	—
1496	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1497	Q₈	—	2	2	no	—
1498	Q₈	—	10	4	no	—
1499	Q₈	—	10	2	no	—
1500	D₄	—	2	4	no	—
1501	D₄	—	2	4	no	—
1502	D₄	—	2	2	no	—
1503	D₄	—	2	2	no	—
1504	D₄	—	4	2	no	—
1505	D₄	—	5	8	no	—
1506	D₄	—	5	4	no	—
1507	D₄	—	10	4	no	—
1508	D₄	—	10	4	no	—
1509	D₄	—	10	2	no	—
1510	D₄	—	10	4	no	—
1511	D₄	—	10	4	no	—
1512	D₄	—	10	4	no	—
1513	D₄	—	10	2	no	—
1514	D₄	—	10	4	no	—
1515	D₄	—	10	4	no	—
1516	D₄	—	10	2	no	—
1517	D₄	—	10	2	no	—
1518	D₄	—	20	2	no	—
1519	D₄	—	20	2	no	—
1520	D₄	—	20	2	no	—
1521	D₄	C₃×D₄×D₅	1	4	yes	complemented
1522	C₂×C₄	—	2	4	no	—
1523	C₂×C₄	—	2	2	no	—
1524	C₂×C₄	—	2	2	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	5	1	no	—
1527	C₂×C₄	—	5	4	no	—
1528	C₂×C₄	—	5	1	no	—
1529	C₂×C₄	—	5	1	no	—
1530	C₂×C₄	—	5	2	no	—
1531	C₂×C₄	—	5	1	no	—
1532	C₂×C₄	—	5	2	no	—
1533	C₂×C₄	—	5	1	no	—
1534	C₂×C₄	—	10	2	no	—
1535	C₂×C₄	—	10	2	no	—
1536	C₂×C₄	—	10	2	no	—
1537	C₂×C₄	—	10	2	no	—
1538	C₂×C₄	—	10	4	no	—
1539	C₂×C₄	—	10	4	no	—
1540	C₂×C₄	—	10	4	no	—
1541	C₂×C₄	—	10	2	no	—
1542	C₂×C₄	—	10	4	no	—
1543	C₂×C₄	—	10	2	no	—
1544	C₂×C₄	—	10	2	no	—
1545	C₂×C₄	—	10	2	no	—
1546	C₂×C₄	—	10	4	no	—
1547	C₂×C₄	—	10	2	no	—
1548	C₂×C₄	—	10	2	no	—
1549	C₂×C₄	—	20	2	no	—
1550	C₂×C₄	—	20	2	no	—
1551	C₂×C₄	—	20	2	no	—
1552	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1553	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1554	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1555	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1556	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1557	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1558	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1559	C₂×C₃	—	2	2	no	—
1560	C₂×C₃	—	2	4	no	—
1561	C₂×C₃	—	4	2	no	—
1562	C₂×C₃	—	4	1	no	—
1563	C₂×C₃	—	5	4	no	—
1564	C₂×C₃	—	10	2	no	—
1565	C₂×C₃	—	10	4	no	—
1566	C₂×C₃	—	20	2	no	—
1567	C₂×C₃	—	20	1	no	—
1568	C₂×C₃	C₂²×D₄×D₅	1	1	yes	characteristic
1569	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1570	C₂×C₃	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1571	C₅	C₂×C₃×#546	1	1	yes	characteristic, complemented, Sylow
1572	C₂²	—	2	1	no	—
1573	C₂²	—	2	2	no	—
1574	C₂²	—	2	2	no	—
1575	C₂²	—	2	1	no	—
1576	C₂²	—	2	1	no	—
1577	C₂²	—	2	2	no	—
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	2	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	2	no	—
1582	C₂²	—	4	8	no	—
1583	C₂²	—	5	2	no	—
1584	C₂²	—	5	2	no	—
1585	C₂²	—	5	2	no	—
1586	C₂²	—	5	4	no	—
1587	C₂²	—	5	2	no	—
1588	C₂²	—	10	8	no	—
1589	C₂²	—	10	16	no	—
1590	C₂²	—	10	1	no	—
1591	C₂²	—	10	2	no	—
1592	C₂²	—	10	2	no	—
1593	C₂²	—	10	1	no	—
1594	C₂²	—	10	1	no	—
1595	C₂²	—	10	2	no	—
1596	C₂²	—	10	1	no	—
1597	C₂²	—	10	2	no	—
1598	C₂²	—	10	1	no	—
1599	C₂²	—	10	2	no	—
1600	C₂²	—	20	8	no	—
1601	C₂²	—	20	8	no	—
1602	C₂²	—	20	8	no	—
1603	C₂²	—	20	4	no	—
1604	C₂²	—	20	8	no	—
1605	C₂²	C₂×C₃×D₄×D₅	1	4	yes	—
1606	C₂²	C₃×D₅×#41	1	2	yes	complemented
1607	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1608	C₄	—	2	1	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	2	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	2	no	—
1614	C₄	—	5	2	no	—
1615	C₄	—	10	1	no	—
1616	C₄	—	10	1	no	—
1617	C₄	—	10	2	no	—
1618	C₄	—	10	1	no	—
1619	C₄	—	10	1	no	—
1620	C₄	—	10	2	no	—
1621	C₄	C₂×C₃×D₄×D₅	1	2	yes	—
1622	C₃	D₅×#546	1	1	yes	characteristic, direct product factor, Sylow
1623	C₂	—	2	2	no	—
1624	C₂	—	2	4	no	—
1625	C₂	—	4	2	no	—
1626	C₂	—	4	1	no	—
1627	C₂	—	5	4	no	—
1628	C₂	—	10	2	no	—
1629	C₂	—	10	4	no	—
1630	C₂	—	20	2	no	—
1631	C₂	—	20	1	no	—
1632	C₂	C₂²×C₃×D₄×D₅	1	1	yes	characteristic
1633	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1634	C₂	C₃×D₅×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₃×C₅×#546	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#546	D₅
hypocenter	C₅	C₂×C₃×#546
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#546

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×D₄×D₅	C₂	semidirect
3. C₃×C₅×#546	C₂	semidirect
4. C₃×#66163	C₂	semidirect
5. C₃×#66140	C₂	semidirect
6. C₃×#66010	C₂	semidirect
7. C₃×D₅×#124	C₂	semidirect
8. C₃×#65988	C₂	semidirect
9. C₃×D₅×#123	C₂	semidirect
10. C₃×#65964	C₂	semidirect
11. C₃×D₅×C₂²⋊Q₈	C₂	semidirect
12. C₃×#65946	C₂	semidirect
13. C₃×#65944	C₂	semidirect
14. C₃×D₅×#121	C₂	semidirect
15. C₃×D₅×#121	C₂	semidirect
16. C₃×#65925	C₂	semidirect
17. C₃×D₅×#120	C₂	semidirect
18. C₃×#65888	C₂	semidirect
19. C₃×#65884	C₂	semidirect
20. C₃×C₄×D₄×D₅	C₂	semidirect
21. C₃×C₄×D₄×D₅	C₂	semidirect
22. C₃×#65824	C₂	semidirect
23. C₂×C₃×D₅×C₂²⋊C₄	C₂	semidirect
24. D₅×#546	C₃	direct (N × H)
26. C₂×C₃×C₅×#41	C₂²	semidirect
27. C₂²×C₃×C₅×D₄	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
39. C₂×C₃×D₄×D₅	C₂²	semidirect
40. C₂×C₃×D₄×D₅	C₂²	semidirect
41. C₂×C₃×D₄×D₅	C₂²	semidirect
42. C₂×C₃×D₄×D₅	C₂²	semidirect
43. C₂×C₃×D₄×D₅	C₂²	semidirect
44. C₂×C₃×#709	C₂²	semidirect
45. C₂×C₃×#709	C₂²	semidirect
46. C₂²×C₃×D₂₀	C₂²	semidirect
48. C₂²×C₃×C₄×D₅	C₂²	semidirect
49. C₂²×C₃×C₄×D₅	C₂²	semidirect
50. C₂²×C₃×C₄×D₅	C₂²	semidirect
51. C₃×C₅×#124	C₂²	semidirect
52. C₃×C₅×#123	C₂²	semidirect
53. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
54. C₃×C₅×#121	C₂²	semidirect
55. C₃×C₅×#121	C₂²	semidirect
56. C₃×C₅×#120	C₂²	semidirect
57. C₃×C₄×C₅×D₄	C₂²	semidirect
58. C₃×C₄×C₅×D₄	C₂²	semidirect
59. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
60. C₃×#4099	C₂²	semidirect
61. C₂×C₃×C₂²⋊Dic₅	C₂²	semidirect
62. C₃×#4093	C₂²	semidirect
63. C₃×#4092	C₂²	semidirect
64. C₃×#4085	C₂²	semidirect
65. C₃×#4085	C₂²	semidirect
66. C₃×#4085	C₂²	semidirect
67. C₃×#4084	C₂²	semidirect
68. C₃×#4084	C₂²	semidirect
69. C₃×#4083	C₂²	semidirect
70. C₃×#4083	C₂²	semidirect
71. C₃×#4083	C₂²	semidirect
72. C₃×#4082	C₂²	semidirect
73. C₃×#4081	C₂²	semidirect
74. C₃×D₄×Dic₅	C₂²	semidirect
75. C₃×D₄×Dic₅	C₂²	semidirect
76. C₃×#4076	C₂²	semidirect
77. C₃×#4076	C₂²	semidirect
78. C₃×#4075	C₂²	semidirect
79. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
80. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
81. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
82. C₂×C₃×#685	C₂²	semidirect
83. C₂×C₃×#685	C₂²	semidirect
84. C₃×#4070	C₂²	semidirect
85. C₃×#4043	C₂²	semidirect
86. C₃×#4042	C₂²	semidirect
87. C₃×#4041	C₂²	semidirect
88. C₃×#4041	C₂²	semidirect
89. C₃×#4040	C₂²	semidirect
90. C₃×#4040	C₂²	semidirect
91. C₃×#4039	C₂²	semidirect
92. C₃×#4039	C₂²	semidirect
93. C₃×D₅×C₄⋊C₄	C₂²	semidirect
94. C₃×D₅×C₄⋊C₄	C₂²	semidirect
95. C₃×D₅×C₄⋊C₄	C₂²	semidirect
96. C₃×#4032	C₂²	semidirect
97. C₃×#4031	C₂²	semidirect
98. C₃×#4031	C₂²	semidirect
99. C₃×#4030	C₂²	semidirect
100. C₃×#4030	C₂²	semidirect
101. C₃×#4030	C₂²	semidirect
102. C₃×#4029	C₂²	semidirect
103. C₃×#4029	C₂²	semidirect
104. C₃×#4028	C₂²	semidirect
105. C₃×#4028	C₂²	semidirect
106. C₃×#4028	C₂²	semidirect
107. C₃×#4027	C₂²	semidirect
108. C₃×#4027	C₂²	semidirect
109. C₃×#4027	C₂²	semidirect
112. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
113. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
114. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
115. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
116. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
117. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
118. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
119. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
120. C₃×D₅×C₂²⋊C₄	C₂²	semidirect
121. C₃×#4024	C₂²	semidirect
122. C₃×#4021	C₂²	semidirect
123. C₃×C₄×D₂₀	C₂²	semidirect
124. C₃×C₄×D₂₀	C₂²	semidirect
125. C₃×C₄²×D₅	C₂²	semidirect
127. C₂×D₅×#41	C₂×C₃	semidirect
128. C₂²×D₄×D₅	C₂×C₃	semidirect
129. C₅×#546	C₂×C₃	semidirect
130. #66163	C₂×C₃	semidirect
131. #66140	C₂×C₃	semidirect
132. #66010	C₂×C₃	semidirect
133. D₅×#124	C₂×C₃	semidirect
134. #65988	C₂×C₃	semidirect
135. D₅×#123	C₂×C₃	semidirect
136. #65964	C₂×C₃	semidirect
137. D₅×C₂²⋊Q₈	C₂×C₃	semidirect
138. #65946	C₂×C₃	semidirect
139. #65944	C₂×C₃	semidirect
140. D₅×#121	C₂×C₃	semidirect
141. D₅×#121	C₂×C₃	semidirect
142. #65925	C₂×C₃	semidirect
143. D₅×#120	C₂×C₃	semidirect
144. #65888	C₂×C₃	semidirect
145. #65884	C₂×C₃	semidirect
146. C₄×D₄×D₅	C₂×C₃	semidirect
147. C₄×D₄×D₅	C₂×C₃	semidirect
148. #65824	C₂×C₃	semidirect
149. C₂×D₅×C₂²⋊C₄	C₂×C₃	semidirect
162. C₂×C₃×C₅×Q₈	C₂³	semidirect
168. C₂×C₃×C₅×D₄	C₂³	semidirect
169. C₂×C₃×C₅×D₄	C₂³	semidirect
171. C₂²×C₃×C₄×C₅	C₂³	semidirect
172. C₂²×C₃×C₄×C₅	C₂³	semidirect
173. C₂²×C₃×C₄×C₅	C₂³	semidirect
181. C₂×C₃×C₂²⋊D₅	C₂³	semidirect
182. C₂×C₃×C₂²⋊D₅	C₂³	semidirect
183. C₂×C₃×C₂²⋊D₅	C₂³	semidirect
184. C₂×C₃×C₂²⋊D₅	C₂³	semidirect
186. C₂²×C₃×Dic₅	C₂³	semidirect
187. C₂²×C₃×Dic₅	C₂³	semidirect
188. C₂²×C₃×Dic₅	C₂³	semidirect
201. C₃×D₄×D₅	D₄	semidirect
209. C₂×C₃×D₂₀	C₂³	semidirect
210. C₂×C₃×D₂₀	C₂³	semidirect
224. C₂×C₃×C₄×D₅	C₂³	semidirect
225. C₂×C₃×C₄×D₅	C₂³	semidirect
226. C₂×C₃×C₄×D₅	C₂³	semidirect
227. C₂×C₃×C₄×D₅	C₂³	semidirect
228. C₂×C₃×C₄×D₅	C₂³	semidirect
229. C₂×C₃×C₄×D₅	C₂³	semidirect
230. C₂×C₃×Dic₁₀	C₂³	semidirect
231. C₂×C₃×Dic₁₀	C₂³	semidirect
232. C₃×C₅×C₄⋊C₄	C₂³	semidirect
233. C₃×C₅×C₄⋊C₄	C₂³	semidirect
234. C₃×C₅×C₄⋊C₄	C₂³	semidirect
237. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
238. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
239. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
240. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
241. C₃×C₅×C₂²⋊C₄	C₂³	semidirect
242. C₃×C₄²×C₅	C₂³	semidirect
245. C₃×C₂²⋊Dic₅	C₂³	semidirect
246. C₃×C₂²⋊Dic₅	C₂³	semidirect
247. C₃×C₂²⋊Dic₅	C₂³	semidirect
248. C₃×C₂²⋊Dic₅	C₂³	semidirect
249. C₃×C₂²⋊Dic₅	C₂³	semidirect
254. C₃×#685	C₂³	semidirect
255. C₃×#685	C₂³	semidirect
256. C₃×#685	C₂³	semidirect
257. C₃×#685	C₂³	semidirect
258. C₃×#685	C₂³	semidirect
259. C₃×#685	C₂³	semidirect
260. C₃×#685	C₂³	semidirect
261. C₃×#685	C₂³	semidirect
262. C₃×#685	C₂³	semidirect
263. C₃×#685	C₂³	semidirect
264. C₃×C₄⋊Dic₅	C₂³	semidirect
265. C₃×C₄⋊Dic₅	C₂³	semidirect
266. C₃×C₄⋊Dic₅	C₂³	semidirect
267. C₃×#683	C₂³	semidirect
268. C₃×#683	C₂³	semidirect
269. C₃×#683	C₂³	semidirect
270. C₃×#683	C₂³	semidirect
271. C₃×#683	C₂³	semidirect
272. C₃×C₄×Dic₅	C₂³	semidirect
273. C₃×C₄×Dic₅	C₂³	semidirect
274. C₃×C₄×Dic₅	C₂³	semidirect
288. C₃×#546	D₅	direct (N × H)
299. C₂×C₅×#41	C₂²×C₃	semidirect
300. C₂²×C₅×D₄	C₂²×C₃	semidirect
301. C₂²×C₂²⋊D₅	C₂²×C₃	semidirect
303. C₂×#713	C₂²×C₃	semidirect
304. C₂×Q₈×D₅	C₂²×C₃	semidirect
305. C₂×#711	C₂²×C₃	semidirect
306. C₂×#711	C₂²×C₃	semidirect
312. C₂×D₄×D₅	C₂²×C₃	semidirect
313. C₂×D₄×D₅	C₂²×C₃	semidirect
314. C₂×D₄×D₅	C₂²×C₃	semidirect
315. C₂×D₄×D₅	C₂²×C₃	semidirect
316. C₂×D₄×D₅	C₂²×C₃	semidirect
317. C₂×#709	C₂²×C₃	semidirect
318. C₂×#709	C₂²×C₃	semidirect
319. C₂²×D₂₀	C₂²×C₃	semidirect
321. C₂²×C₄×D₅	C₂²×C₃	semidirect
322. C₂²×C₄×D₅	C₂²×C₃	semidirect
323. C₂²×C₄×D₅	C₂²×C₃	semidirect
324. C₅×#124	C₂²×C₃	semidirect
325. C₅×#123	C₂²×C₃	semidirect
326. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
327. C₅×#121	C₂²×C₃	semidirect
328. C₅×#121	C₂²×C₃	semidirect
329. C₅×#120	C₂²×C₃	semidirect
330. C₄×C₅×D₄	C₂²×C₃	semidirect
331. C₄×C₅×D₄	C₂²×C₃	semidirect
332. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
333. #4099	C₂²×C₃	semidirect
334. C₂×C₂²⋊Dic₅	C₂²×C₃	semidirect
335. #4093	C₂²×C₃	semidirect
336. #4092	C₂²×C₃	semidirect
337. #4085	C₂²×C₃	semidirect
338. #4085	C₂²×C₃	semidirect
339. #4085	C₂²×C₃	semidirect
340. #4084	C₂²×C₃	semidirect
341. #4084	C₂²×C₃	semidirect
342. #4083	C₂²×C₃	semidirect
343. #4083	C₂²×C₃	semidirect
344. #4083	C₂²×C₃	semidirect
345. #4082	C₂²×C₃	semidirect
346. #4081	C₂²×C₃	semidirect
347. D₄×Dic₅	C₂²×C₃	semidirect
348. D₄×Dic₅	C₂²×C₃	semidirect
349. #4076	C₂²×C₃	semidirect
350. #4076	C₂²×C₃	semidirect
351. #4075	C₂²×C₃	semidirect
352. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
353. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
354. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
355. C₂×#685	C₂²×C₃	semidirect
356. C₂×#685	C₂²×C₃	semidirect
357. #4070	C₂²×C₃	semidirect
358. #4043	C₂²×C₃	semidirect
359. #4042	C₂²×C₃	semidirect
360. #4041	C₂²×C₃	semidirect
361. #4041	C₂²×C₃	semidirect
362. #4040	C₂²×C₃	semidirect
363. #4040	C₂²×C₃	semidirect
364. #4039	C₂²×C₃	semidirect
365. #4039	C₂²×C₃	semidirect
366. D₅×C₄⋊C₄	C₂²×C₃	semidirect
367. D₅×C₄⋊C₄	C₂²×C₃	semidirect
368. D₅×C₄⋊C₄	C₂²×C₃	semidirect
369. #4032	C₂²×C₃	semidirect
370. #4031	C₂²×C₃	semidirect
371. #4031	C₂²×C₃	semidirect
372. #4030	C₂²×C₃	semidirect
373. #4030	C₂²×C₃	semidirect
374. #4030	C₂²×C₃	semidirect
375. #4029	C₂²×C₃	semidirect
376. #4029	C₂²×C₃	semidirect
377. #4028	C₂²×C₃	semidirect
378. #4028	C₂²×C₃	semidirect
379. #4028	C₂²×C₃	semidirect
380. #4027	C₂²×C₃	semidirect
381. #4027	C₂²×C₃	semidirect
382. #4027	C₂²×C₃	semidirect
385. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
386. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
387. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
388. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
389. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
390. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
391. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
392. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
393. D₅×C₂²⋊C₄	C₂²×C₃	semidirect
394. #4024	C₂²×C₃	semidirect
395. #4021	C₂²×C₃	semidirect
396. C₄×D₂₀	C₂²×C₃	semidirect
397. C₄×D₂₀	C₂²×C₃	semidirect
398. C₄²×D₅	C₂²×C₃	semidirect
428. C₂²×C₃×D₅	#41	semidirect
440. C₃×C₅×D₄	C₂×D₄	semidirect
461. C₃×C₂²⋊D₅	C₂×D₄	semidirect
478. C₃×D₂₀	C₂×D₄	semidirect
503. C₂×C₃×#41	C₂×D₅	semidirect
517. C₂²×C₃×D₄	C₂×D₅	semidirect
527. C₃×#124	C₂×D₅	semidirect
535. C₃×#123	C₂×D₅	semidirect
541. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
554. C₃×#121	C₂×D₅	semidirect
555. C₃×#121	C₂×D₅	semidirect
563. C₃×#120	C₂×D₅	semidirect
576. C₃×C₄×D₄	C₂×D₅	semidirect
577. C₃×C₄×D₄	C₂×D₅	semidirect
595. C₂×C₃×C₂²⋊C₄	C₂×D₅	semidirect
609. C₂×C₅×Q₈	C₂³×C₃	semidirect
615. C₂×C₅×D₄	C₂³×C₃	semidirect
616. C₂×C₅×D₄	C₂³×C₃	semidirect
618. C₂²×C₄×C₅	C₂³×C₃	semidirect
619. C₂²×C₄×C₅	C₂³×C₃	semidirect
620. C₂²×C₄×C₅	C₂³×C₃	semidirect
628. C₂×C₂²⋊D₅	C₂³×C₃	semidirect
629. C₂×C₂²⋊D₅	C₂³×C₃	semidirect
630. C₂×C₂²⋊D₅	C₂³×C₃	semidirect
631. C₂×C₂²⋊D₅	C₂³×C₃	semidirect
633. C₂²×Dic₅	C₂³×C₃	semidirect
634. C₂²×Dic₅	C₂³×C₃	semidirect
635. C₂²×Dic₅	C₂³×C₃	semidirect
648. D₄×D₅	C₃×D₄	semidirect
656. C₂×D₂₀	C₂³×C₃	semidirect
657. C₂×D₂₀	C₂³×C₃	semidirect
671. C₂×C₄×D₅	C₂³×C₃	semidirect
672. C₂×C₄×D₅	C₂³×C₃	semidirect
673. C₂×C₄×D₅	C₂³×C₃	semidirect
674. C₂×C₄×D₅	C₂³×C₃	semidirect
675. C₂×C₄×D₅	C₂³×C₃	semidirect
676. C₂×C₄×D₅	C₂³×C₃	semidirect
677. C₂×Dic₁₀	C₂³×C₃	semidirect
678. C₂×Dic₁₀	C₂³×C₃	semidirect
679. C₅×C₄⋊C₄	C₂³×C₃	semidirect
680. C₅×C₄⋊C₄	C₂³×C₃	semidirect
681. C₅×C₄⋊C₄	C₂³×C₃	semidirect
684. C₅×C₂²⋊C₄	C₂³×C₃	semidirect
685. C₅×C₂²⋊C₄	C₂³×C₃	semidirect
686. C₅×C₂²⋊C₄	C₂³×C₃	semidirect
687. C₅×C₂²⋊C₄	C₂³×C₃	semidirect
688. C₅×C₂²⋊C₄	C₂³×C₃	semidirect
689. C₄²×C₅	C₂³×C₃	semidirect
692. C₂²⋊Dic₅	C₂³×C₃	semidirect
693. C₂²⋊Dic₅	C₂³×C₃	semidirect
694. C₂²⋊Dic₅	C₂³×C₃	semidirect
695. C₂²⋊Dic₅	C₂³×C₃	semidirect
696. C₂²⋊Dic₅	C₂³×C₃	semidirect
701. #685	C₂³×C₃	semidirect
702. #685	C₂³×C₃	semidirect
703. #685	C₂³×C₃	semidirect
704. #685	C₂³×C₃	semidirect
705. #685	C₂³×C₃	semidirect
706. #685	C₂³×C₃	semidirect
707. #685	C₂³×C₃	semidirect
708. #685	C₂³×C₃	semidirect
709. #685	C₂³×C₃	semidirect
710. #685	C₂³×C₃	semidirect
711. C₄⋊Dic₅	C₂³×C₃	semidirect
712. C₄⋊Dic₅	C₂³×C₃	semidirect
713. C₄⋊Dic₅	C₂³×C₃	semidirect
714. #683	C₂³×C₃	semidirect
715. #683	C₂³×C₃	semidirect
716. #683	C₂³×C₃	semidirect
717. #683	C₂³×C₃	semidirect
718. #683	C₂³×C₃	semidirect
719. C₄×Dic₅	C₂³×C₃	semidirect
720. C₄×Dic₅	C₂³×C₃	semidirect
721. C₄×Dic₅	C₂³×C₃	semidirect
735. #546	C₃×D₅	direct (N × H)
757. C₂²×C₃×C₅	C₂×#41	semidirect
779. C₂×C₃×D₅	C₂×#41	semidirect
815. C₂×C₃×Q₈	C₂²×D₅	semidirect
848. C₂×C₃×D₄	C₂²×D₅	semidirect
849. C₂×C₃×D₄	C₂²×D₅	semidirect
874. C₂²×C₃×C₄	C₂²×D₅	semidirect
875. C₂²×C₃×C₄	C₂²×D₅	semidirect
876. C₂²×C₃×C₄	C₂²×D₅	semidirect
885. C₃×C₄⋊C₄	C₂²×D₅	semidirect
886. C₃×C₄⋊C₄	C₂²×D₅	semidirect
887. C₃×C₄⋊C₄	C₂²×D₅	semidirect
911. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
912. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
913. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
914. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
915. C₃×C₂²⋊C₄	C₂²×D₅	semidirect
919. C₃×C₄²	C₂²×D₅	semidirect
948. C₂²×D₅	C₃×#41	semidirect
960. C₅×D₄	C₂×C₃×D₄	semidirect
981. C₂²⋊D₅	C₂×C₃×D₄	semidirect
998. D₂₀	C₂×C₃×D₄	semidirect
1023. C₂×#41	C₂×C₃×D₅	semidirect
1037. C₂²×D₄	C₂×C₃×D₅	semidirect
1047. #124	C₂×C₃×D₅	semidirect
1055. #123	C₂×C₃×D₅	semidirect
1061. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
1074. #121	C₂×C₃×D₅	semidirect
1075. #121	C₂×C₃×D₅	semidirect
1083. #120	C₂×C₃×D₅	semidirect
1096. C₄×D₄	C₂×C₃×D₅	semidirect
1097. C₄×D₄	C₂×C₃×D₅	semidirect
1115. C₂×C₂²⋊C₄	C₂×C₃×D₅	semidirect
1128. C₃×D₅	#546	direct (N × H)
1187. C₃×D₄	D₄×D₅	semidirect
1237. C₂²×C₅	C₂×C₃×#41	semidirect
1259. C₂×D₅	C₂×C₃×#41	semidirect
1295. C₂×Q₈	C₂²×C₃×D₅	semidirect
1328. C₂×D₄	C₂²×C₃×D₅	semidirect
1329. C₂×D₄	C₂²×C₃×D₅	semidirect
1354. C₂²×C₄	C₂²×C₃×D₅	semidirect
1355. C₂²×C₄	C₂²×C₃×D₅	semidirect
1356. C₂²×C₄	C₂²×C₃×D₅	semidirect
1365. C₄⋊C₄	C₂²×C₃×D₅	semidirect
1366. C₄⋊C₄	C₂²×C₃×D₅	semidirect
1367. C₄⋊C₄	C₂²×C₃×D₅	semidirect
1391. C₂²⋊C₄	C₂²×C₃×D₅	semidirect
1392. C₂²⋊C₄	C₂²×C₃×D₅	semidirect
1393. C₂²⋊C₄	C₂²×C₃×D₅	semidirect
1394. C₂²⋊C₄	C₂²×C₃×D₅	semidirect
1395. C₂²⋊C₄	C₂²×C₃×D₅	semidirect
1399. C₄²	C₂²×C₃×D₅	semidirect
1400. C₃×C₅	C₂×#546	semidirect
1435. C₂²×C₃	D₅×#41	semidirect
1462. D₅	C₃×#546	direct (N × H)
1521. D₄	C₃×D₄×D₅	semidirect
1571. C₅	C₂×C₃×#546	semidirect
1606. C₂²	C₃×D₅×#41	semidirect
1622. C₃	D₅×#546	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×D₄×D₅	2
C₃×C₅×#546	2
C₃×#66163	2
C₃×#66140	2
C₃×#66010	2
C₃×D₅×#124	2
C₃×#65988	2
C₃×D₅×#123	2
C₃×#65964	2
C₃×D₅×C₂²⋊Q₈	2
C₃×#65946	2
C₃×#65944	2
C₃×D₅×#121	2
C₃×#65925	2
C₃×D₅×#120	2
C₃×#65888	2
C₃×#65884	2
C₃×C₄×D₄×D₅	2
C₃×#65824	2
C₂×C₃×D₅×C₂²⋊C₄	2
D₅×#546	3
C₂×C₃×#546	5

Subgroups — C3×D5×#546 #14482473

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₅×#546 #14482473