Subgroups — C₂×D₅×#546 #13006218

Order 1280.

14462 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	C₂²×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×#546	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66163	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66140	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#546	C₂	1	32	yes	maximal, direct product factor
7	C₂×#66010	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#65988	C₂	1	2	yes	maximal, complemented
10	C₂×D₅×#123	C₂	1	2	yes	maximal, complemented
11	C₂×#65964	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65946	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65944	C₂	1	2	yes	maximal, complemented
15	C₂×D₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₅×#121	C₂	1	2	yes	maximal, complemented
17	C₂×#65925	C₂	1	2	yes	maximal, complemented
18	C₂×D₅×#120	C₂	1	2	yes	maximal, complemented
19	C₂×#65884	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65888	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65824	C₂	1	2	yes	maximal, complemented
24	C₂²×D₅×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
25	C₂⁵×D₅	C₂²	1	2	yes	—
26	C₂²×C₅×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₂²⋊D₅	C₂²	1	2	yes	complemented
29	C₂×D₅×#41	—	2	16	no	—
30	C₂×D₅×#41	C₂²	1	16	yes	complemented
31	C₂²×#713	C₂²	1	1	yes	characteristic, complemented
32	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#711	C₂²	1	2	yes	complemented
34	C₂²×#711	C₂²	1	1	yes	characteristic, complemented
35	C₂²×D₄×D₅	—	2	16	no	—
36	C₂²×D₄×D₅	C₂²	1	2	yes	—
37	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
38	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
39	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
40	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
42	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
43	C₂²×D₄×D₅	C₂²	1	16	yes	complemented
44	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
45	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
46	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#709	C₂²	1	2	yes	complemented
48	C₂³×D₂₀	C₂²	1	1	yes	characteristic, complemented
49	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
50	C₂³×C₄×D₅	C₂²	1	2	yes	complemented
51	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
52	C₂³×C₄×D₅	C₂²	1	2	yes	complemented
53	C₅×#546	C₂²	1	16	yes	complemented
54	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₅×#123	C₂²	1	2	yes	complemented
56	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₅×#121	C₂²	1	2	yes	complemented
58	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₅×#120	C₂²	1	2	yes	complemented
60	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
62	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
63	C₂×#4099	C₂²	1	2	yes	complemented
64	C₂²×C₂²⋊Dic₅	C₂²	1	2	yes	complemented
65	#66163	C₂²	1	16	yes	complemented
66	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
67	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
68	#66140	C₂²	1	16	yes	complemented
69	C₂×#4085	C₂²	1	2	yes	complemented
70	C₂×#4085	C₂²	1	2	yes	complemented
71	C₂×#4085	C₂²	1	2	yes	complemented
72	C₂×#4084	C₂²	1	2	yes	complemented
73	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
74	C₂×#4083	C₂²	1	2	yes	complemented
75	C₂×#4083	C₂²	1	2	yes	complemented
76	C₂×#4083	C₂²	1	2	yes	complemented
77	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
78	C₂×#4081	C₂²	1	2	yes	complemented
79	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
80	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
82	C₂×#4076	C₂²	1	2	yes	complemented
83	C₂×#4075	C₂²	1	2	yes	complemented
84	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
87	C₂²×#685	C₂²	1	2	yes	complemented
88	C₂²×#685	C₂²	1	2	yes	complemented
89	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
90	#66010	C₂²	1	16	yes	complemented
91	D₅×#124	C₂²	1	16	yes	complemented
92	#65988	C₂²	1	32	yes	complemented
93	D₅×#123	C₂²	1	32	yes	complemented
94	#65964	C₂²	1	16	yes	complemented
95	D₅×C₂²⋊Q₈	C₂²	1	16	yes	complemented
96	#65946	C₂²	1	16	yes	complemented
97	#65944	C₂²	1	32	yes	complemented
98	D₅×#121	C₂²	1	32	yes	complemented
99	D₅×#121	C₂²	1	16	yes	complemented
100	#65925	C₂²	1	32	yes	complemented
101	D₅×#120	C₂²	1	32	yes	complemented
102	#65888	C₂²	1	16	yes	complemented
103	#65884	C₂²	1	16	yes	complemented
104	C₄×D₄×D₅	C₂²	1	16	yes	complemented
105	C₄×D₄×D₅	C₂²	1	16	yes	complemented
106	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
107	C₂×#4042	C₂²	1	2	yes	complemented
108	C₂×#4041	C₂²	1	2	yes	complemented
109	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
110	C₂×#4040	C₂²	1	2	yes	complemented
111	C₂×#4040	C₂²	1	2	yes	complemented
112	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
113	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
114	C₂×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
115	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
116	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4032	C₂²	1	2	yes	complemented
118	C₂×#4031	C₂²	1	2	yes	complemented
119	C₂×#4031	C₂²	1	2	yes	complemented
120	#65824	C₂²	1	32	yes	complemented
121	C₂×#4030	C₂²	1	2	yes	complemented
122	C₂×#4030	C₂²	1	2	yes	complemented
123	C₂×#4030	C₂²	1	2	yes	complemented
124	C₂×#4029	C₂²	1	2	yes	complemented
125	C₂×#4029	C₂²	1	2	yes	complemented
126	C₂×#4028	C₂²	1	2	yes	complemented
127	C₂×#4028	C₂²	1	2	yes	complemented
128	C₂×#4028	C₂²	1	2	yes	complemented
129	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
130	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4027	C₂²	1	2	yes	complemented
132	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
133	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
134	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
135	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
136	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
137	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
138	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
139	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
140	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
141	C₂×D₅×C₂²⋊C₄	C₂²	1	32	yes	complemented
142	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
143	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
144	C₂×#4024	C₂²	1	2	yes	complemented
145	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
147	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
148	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
149	C₂²×#546	—	5	1	no	maximal, Sylow
150	C₂⁵×C₅	C₂³	1	2	yes	—
151	C₂⁴×D₅	—	2	16	no	—
152	C₂⁴×D₅	—	2	16	no	—
153	C₂⁴×D₅	—	4	8	no	—
154	C₂⁴×D₅	C₂³	1	2	yes	—
155	C₂⁴×D₅	C₂³	1	1	yes	characteristic
156	C₂⁴×D₅	C₂³	1	2	yes	—
157	C₂⁴×D₅	C₂³	1	2	yes	—
158	C₂⁴×D₅	C₂³	1	16	yes	—
159	C₂⁴×D₅	C₂³	1	2	yes	—
160	C₂⁴×D₅	C₂³	1	2	yes	—
161	C₂⁴×D₅	C₂³	1	1	yes	characteristic
162	C₂×C₅×#41	—	2	8	no	—
163	C₂×C₅×#41	C₂³	1	8	yes	complemented
164	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
165	C₂²×C₅×D₄	—	2	8	no	—
166	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
167	C₂²×C₅×D₄	C₂³	1	2	yes	—
168	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
169	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
170	C₂²×C₅×D₄	C₂³	1	8	yes	complemented
171	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
172	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
173	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
174	C₂³×C₄×C₅	C₂³	1	2	yes	complemented
175	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic, complemented
176	C₂³×C₄×C₅	C₂³	1	2	yes	complemented
177	C₂²×C₂²⋊D₅	—	2	16	no	—
178	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
179	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
180	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
181	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
183	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
184	C₂²×C₂²⋊D₅	C₂³	1	16	yes	complemented
185	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
186	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
187	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
188	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
189	C₂³×Dic₅	C₂³	1	1	yes	characteristic
190	C₂³×Dic₅	C₂³	1	1	yes	characteristic, complemented
191	C₂³×Dic₅	C₂³	1	2	yes	complemented
192	C₂³×Dic₅	C₂³	1	2	yes	complemented
193	D₅×#41	—	2	128	no	—
194	C₂×#713	—	2	8	no	—
195	C₂×#713	C₂³	1	8	yes	complemented
196	C₂×Q₈×D₅	—	2	8	no	—
197	C₂×Q₈×D₅	C₂³	1	8	yes	complemented
198	C₂×#711	—	2	8	no	—
199	C₂×#711	—	2	16	no	—
200	C₂×#711	C₂³	1	16	yes	complemented
201	C₂×#711	C₂³	1	8	yes	complemented
202	C₂×D₄×D₅	—	2	16	no	—
203	C₂×D₄×D₅	—	2	16	no	—
204	C₂×D₄×D₅	—	2	8	no	—
205	C₂×D₄×D₅	—	2	8	no	—
206	C₂×D₄×D₅	—	2	16	no	—
207	C₂×D₄×D₅	—	2	128	no	—
208	C₂×D₄×D₅	—	2	8	no	—
209	C₂×D₄×D₅	—	2	8	no	—
210	C₂×D₄×D₅	—	4	8	no	—
211	C₂×D₄×D₅	D₄	1	16	yes	complemented
212	C₂×D₄×D₅	C₂³	1	8	yes	—
213	C₂×D₄×D₅	C₂³	1	16	yes	—
214	C₂×D₄×D₅	C₂³	1	8	yes	—
215	C₂×D₄×D₅	C₂³	1	8	yes	—
216	C₂×D₄×D₅	C₂³	1	8	yes	complemented
217	C₂×D₄×D₅	C₂³	1	16	yes	complemented
218	C₂×D₄×D₅	C₂³	1	8	yes	complemented
219	C₂×D₄×D₅	C₂³	1	16	yes	complemented
220	C₂×D₄×D₅	C₂³	1	16	yes	complemented
221	C₂×#709	—	2	16	no	—
222	C₂×#709	—	2	8	no	—
223	C₂×#709	C₂³	1	8	yes	complemented
224	C₂×#709	C₂³	1	16	yes	complemented
225	C₂²×D₂₀	—	2	8	no	—
226	C₂²×D₂₀	C₂³	1	1	yes	characteristic
227	C₂²×D₂₀	C₂³	1	1	yes	characteristic
228	C₂²×D₂₀	C₂³	1	2	yes	—
229	C₂²×D₂₀	C₂³	1	1	yes	characteristic
230	C₂²×D₂₀	C₂³	1	8	yes	complemented
231	C₂²×D₂₀	C₂³	1	2	yes	complemented
232	C₂²×D₂₀	C₂³	1	2	yes	complemented
233	C₂²×C₄×D₅	—	2	16	no	—
234	C₂²×C₄×D₅	—	2	8	no	—
235	C₂²×C₄×D₅	—	2	8	no	—
236	C₂²×C₄×D₅	—	4	8	no	—
237	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
240	C₂²×C₄×D₅	C₂³	1	2	yes	—
241	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
242	C₂²×C₄×D₅	C₂³	1	2	yes	—
243	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₅	C₂³	1	8	yes	—
246	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
247	C₂²×C₄×D₅	C₂³	1	16	yes	complemented
248	C₂²×C₄×D₅	C₂³	1	8	yes	complemented
249	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
250	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
251	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
252	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
253	C₂²×C₄×D₅	C₂³	1	16	yes	complemented
254	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
255	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
256	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
257	C₂²×Dic₁₀	C₂³	1	2	yes	complemented
258	C₅×#124	C₂³	1	8	yes	complemented
259	C₅×#123	C₂³	1	16	yes	complemented
260	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
261	C₅×#121	C₂³	1	16	yes	complemented
262	C₅×#121	C₂³	1	8	yes	complemented
263	C₅×#120	C₂³	1	16	yes	complemented
264	C₄×C₅×D₄	C₂³	1	8	yes	complemented
265	C₄×C₅×D₄	C₂³	1	8	yes	complemented
266	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
267	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
268	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	complemented
269	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
270	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
272	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
273	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
274	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
275	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
276	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
277	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
278	#4099	C₂³	1	16	yes	complemented
279	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
280	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₅	C₂³	1	16	yes	complemented
282	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
283	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
284	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
285	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
286	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
287	#4093	C₂³	1	8	yes	complemented
288	#4092	C₂³	1	8	yes	complemented
289	#4085	C₂³	1	16	yes	complemented
290	#4085	C₂³	1	16	yes	complemented
291	#4085	C₂³	1	16	yes	complemented
292	#4084	C₂³	1	16	yes	complemented
293	#4084	C₂³	1	8	yes	complemented
294	#4083	C₂³	1	16	yes	complemented
295	#4083	C₂³	1	16	yes	complemented
296	#4083	C₂³	1	16	yes	complemented
297	#4082	C₂³	1	8	yes	complemented
298	#4081	C₂³	1	16	yes	complemented
299	D₄×Dic₅	C₂³	1	8	yes	complemented
300	D₄×Dic₅	C₂³	1	8	yes	complemented
301	#4076	C₂³	1	8	yes	complemented
302	#4076	C₂³	1	16	yes	complemented
303	#4075	C₂³	1	16	yes	complemented
304	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
305	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
306	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
307	C₂×#685	C₂³	1	1	yes	characteristic
308	C₂×#685	C₂³	1	1	yes	characteristic
309	C₂×#685	C₂³	1	2	yes	—
310	C₂×#685	C₂³	1	2	yes	—
311	C₂×#685	C₂³	1	16	yes	complemented
312	C₂×#685	C₂³	1	16	yes	complemented
313	C₂×#685	C₂³	1	2	yes	complemented
314	C₂×#685	C₂³	1	1	yes	characteristic, complemented
315	C₂×#685	C₂³	1	2	yes	complemented
316	C₂×#685	C₂³	1	2	yes	complemented
317	C₂×#685	C₂³	1	2	yes	complemented
318	C₂×#685	C₂³	1	2	yes	complemented
319	C₂×#685	C₂³	1	2	yes	complemented
320	C₂×#685	C₂³	1	2	yes	complemented
321	C₂×#685	C₂³	1	2	yes	complemented
322	C₂×#685	C₂³	1	1	yes	characteristic, complemented
323	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
324	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
325	C₂×C₄⋊Dic₅	C₂³	1	2	yes	complemented
326	#4070	C₂³	1	8	yes	complemented
327	C₂×#683	C₂³	1	2	yes	complemented
328	C₂×#683	C₂³	1	2	yes	complemented
329	C₂×#683	C₂³	1	1	yes	characteristic, complemented
330	C₂×#683	C₂³	1	1	yes	characteristic, complemented
331	C₂×#683	C₂³	1	2	yes	complemented
332	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
333	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
334	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
335	#4043	C₂³	1	8	yes	complemented
336	#4042	C₂³	1	16	yes	complemented
337	#4041	C₂³	1	8	yes	complemented
338	#4041	C₂³	1	16	yes	complemented
339	#4040	C₂³	1	16	yes	complemented
340	#4040	C₂³	1	16	yes	complemented
341	#4039	C₂³	1	8	yes	complemented
342	#4039	C₂³	1	8	yes	complemented
343	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
344	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
345	D₅×C₄⋊C₄	C₂³	1	16	yes	complemented
346	#4032	C₂³	1	16	yes	complemented
347	#4031	C₂³	1	16	yes	complemented
348	#4031	C₂³	1	16	yes	complemented
349	#4030	C₂³	1	16	yes	complemented
350	#4030	C₂³	1	16	yes	complemented
351	#4030	C₂³	1	16	yes	complemented
352	#4029	C₂³	1	16	yes	complemented
353	#4029	C₂³	1	16	yes	complemented
354	#4028	C₂³	1	16	yes	complemented
355	#4028	C₂³	1	16	yes	complemented
356	#4028	C₂³	1	16	yes	complemented
357	#4027	C₂³	1	8	yes	complemented
358	#4027	C₂³	1	8	yes	complemented
359	#4027	C₂³	1	16	yes	complemented
360	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
361	D₅×C₂²⋊C₄	C₂³	1	16	yes	—
362	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
363	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
364	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
365	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
366	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
367	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
368	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
369	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
370	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
371	#4024	C₂³	1	16	yes	complemented
372	#4021	C₂³	1	8	yes	complemented
373	C₄×D₂₀	C₂³	1	8	yes	complemented
374	C₄×D₂₀	C₂³	1	8	yes	complemented
375	C₄²×D₅	C₂³	1	8	yes	complemented
376	C₂³×#41	—	5	1	no	—
377	C₂⁴×D₄	—	5	1	no	—
378	C₂×#546	—	5	1	no	—
379	C₂×#546	—	5	1	no	—
380	C₂×#546	—	5	32	no	—
381	C₂×#546	—	5	1	no	—
382	C₂×#546	—	5	2	no	—
383	C₂×#546	—	5	1	no	—
384	C₂×#546	—	5	2	no	—
385	C₂×#546	—	5	1	no	—
386	C₂×#546	—	5	2	no	—
387	C₂×#546	—	5	1	no	—
388	C₂×#546	—	5	1	no	—
389	C₂×#546	—	5	2	no	—
390	C₂×#546	D₅	1	1	yes	characteristic, direct product factor
391	C₂²×#124	—	5	1	no	—
392	C₂²×#123	—	5	2	no	—
393	C₂²×C₂²⋊Q₈	—	5	1	no	—
394	C₂²×#121	—	5	1	no	—
395	C₂²×#121	—	5	2	no	—
396	C₂²×#120	—	5	2	no	—
397	C₂²×C₄×D₄	—	5	1	no	—
398	C₂²×C₄×D₄	—	5	1	no	—
399	C₂³×C₂²⋊C₄	—	5	2	no	—
400	C₂⁴×C₅	—	2	8	no	—
401	C₂⁴×C₅	—	2	8	no	—
402	C₂⁴×C₅	—	4	4	no	—
403	C₂⁴×C₅	C₂⁴	1	2	yes	—
404	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
405	C₂⁴×C₅	C₂⁴	1	8	yes	—
406	C₂⁴×C₅	C₂⁴	1	2	yes	—
407	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
408	C₂³×D₅	—	2	4	no	—
409	C₂³×D₅	—	2	8	no	—
410	C₂³×D₅	—	2	8	no	—
411	C₂³×D₅	—	2	4	no	—
412	C₂³×D₅	—	2	8	no	—
413	C₂³×D₅	—	2	8	no	—
414	C₂³×D₅	—	2	4	no	—
415	C₂³×D₅	—	2	8	no	—
416	C₂³×D₅	—	2	8	no	—
417	C₂³×D₅	—	2	64	no	—
418	C₂³×D₅	—	2	8	no	—
419	C₂³×D₅	—	2	4	no	—
420	C₂³×D₅	—	2	8	no	—
421	C₂³×D₅	—	2	8	no	—
422	C₂³×D₅	—	2	64	no	—
423	C₂³×D₅	—	2	8	no	—
424	C₂³×D₅	—	2	4	no	—
425	C₂³×D₅	—	2	8	no	—
426	C₂³×D₅	—	4	32	no	—
427	C₂³×D₅	—	4	4	no	—
428	C₂³×D₅	—	4	4	no	—
429	C₂³×D₅	—	4	4	no	—
430	C₂³×D₅	—	4	128	no	—
431	C₂³×D₅	C₂×D₄	1	16	yes	—
432	C₂³×D₅	#41	1	8	yes	complemented
433	C₂³×D₅	C₂⁴	1	1	yes	characteristic
434	C₂³×D₅	C₂⁴	1	4	yes	—
435	C₂³×D₅	C₂⁴	1	2	yes	—
436	C₂³×D₅	C₂⁴	1	8	yes	—
437	C₂³×D₅	C₂⁴	1	8	yes	—
438	C₂³×D₅	C₂⁴	1	8	yes	—
439	C₂³×D₅	C₂⁴	1	8	yes	—
440	C₂³×D₅	C₂⁴	1	2	yes	—
441	C₂³×D₅	C₂⁴	1	8	yes	—
442	C₂³×D₅	C₂⁴	1	1	yes	characteristic
443	C₂³×D₅	C₂⁴	1	4	yes	—
444	C₂³×D₅	C₂⁴	1	1	yes	characteristic
445	C₅×#41	—	2	32	no	—
446	C₂×C₅×Q₈	—	2	4	no	—
447	C₂×C₅×Q₈	C₂⁴	1	4	yes	complemented
448	C₂×C₅×D₄	—	2	8	no	—
449	C₂×C₅×D₄	—	2	8	no	—
450	C₂×C₅×D₄	—	2	4	no	—
451	C₂×C₅×D₄	—	2	32	no	—
452	C₂×C₅×D₄	—	2	4	no	—
453	C₂×C₅×D₄	—	4	4	no	—
454	C₂×C₅×D₄	C₂×D₄	1	8	yes	complemented
455	C₂×C₅×D₄	C₂⁴	1	4	yes	—
456	C₂×C₅×D₄	C₂⁴	1	8	yes	—
457	C₂×C₅×D₄	C₂⁴	1	4	yes	—
458	C₂×C₅×D₄	C₂⁴	1	4	yes	—
459	C₂×C₅×D₄	C₂⁴	1	8	yes	complemented
460	C₂×C₅×D₄	C₂⁴	1	8	yes	complemented
461	C₂²×C₄×C₅	—	2	8	no	—
462	C₂²×C₄×C₅	—	2	4	no	—
463	C₂²×C₄×C₅	—	2	4	no	—
464	C₂²×C₄×C₅	—	4	4	no	—
465	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
468	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
472	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₅	C₂⁴	1	8	yes	complemented
474	C₂²×C₄×C₅	C₂⁴	1	4	yes	complemented
475	C₂²×C₄×C₅	C₂⁴	1	8	yes	complemented
476	C₂×C₂²⋊D₅	—	2	8	no	—
477	C₂×C₂²⋊D₅	—	2	8	no	—
478	C₂×C₂²⋊D₅	—	2	4	no	—
479	C₂×C₂²⋊D₅	—	2	8	no	—
480	C₂×C₂²⋊D₅	—	2	8	no	—
481	C₂×C₂²⋊D₅	—	2	4	no	—
482	C₂×C₂²⋊D₅	—	2	64	no	—
483	C₂×C₂²⋊D₅	—	2	8	no	—
484	C₂×C₂²⋊D₅	—	4	4	no	—
485	C₂×C₂²⋊D₅	—	4	4	no	—
486	C₂×C₂²⋊D₅	C₂×D₄	1	16	yes	complemented
487	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
488	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
489	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
490	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
491	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
492	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
493	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
494	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
495	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
496	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
497	C₂²×Dic₅	—	2	8	no	—
498	C₂²×Dic₅	—	2	4	no	—
499	C₂²×Dic₅	—	2	4	no	—
500	C₂²×Dic₅	—	4	4	no	—
501	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
502	C₂²×Dic₅	C₂⁴	1	2	yes	—
503	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
504	C₂²×Dic₅	C₂⁴	1	2	yes	—
505	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
506	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
507	C₂²×Dic₅	C₂⁴	1	4	yes	—
508	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
509	C₂²×Dic₅	C₂⁴	1	8	yes	complemented
510	C₂²×Dic₅	C₂⁴	1	4	yes	complemented
511	C₂²×Dic₅	C₂⁴	1	8	yes	complemented
512	#713	—	2	32	no	—
513	Q₈×D₅	—	2	32	no	—
514	#711	—	2	32	no	—
515	#711	—	2	64	no	—
516	D₄×D₅	—	2	64	no	—
517	D₄×D₅	—	2	64	no	—
518	D₄×D₅	—	2	32	no	—
519	D₄×D₅	—	2	32	no	—
520	D₄×D₅	—	2	64	no	—
521	D₄×D₅	—	2	32	no	—
522	D₄×D₅	—	2	32	no	—
523	D₄×D₅	—	4	32	no	—
524	D₄×D₅	C₂×D₄	1	64	yes	complemented
525	#709	—	2	64	no	—
526	#709	—	2	32	no	—
527	C₂×D₂₀	—	2	8	no	—
528	C₂×D₂₀	—	2	8	no	—
529	C₂×D₂₀	—	2	4	no	—
530	C₂×D₂₀	—	2	4	no	—
531	C₂×D₂₀	—	2	32	no	—
532	C₂×D₂₀	—	4	4	no	—
533	C₂×D₂₀	C₂×D₄	1	8	yes	complemented
534	C₂×D₂₀	C₂⁴	1	4	yes	—
535	C₂×D₂₀	C₂⁴	1	8	yes	—
536	C₂×D₂₀	C₂⁴	1	4	yes	—
537	C₂×D₂₀	C₂⁴	1	4	yes	—
538	C₂×D₂₀	C₂⁴	1	8	yes	complemented
539	C₂×D₂₀	C₂⁴	1	8	yes	complemented
540	C₂×C₄×D₅	—	2	4	no	—
541	C₂×C₄×D₅	—	2	4	no	—
542	C₂×C₄×D₅	—	2	8	no	—
543	C₂×C₄×D₅	—	2	8	no	—
544	C₂×C₄×D₅	—	2	8	no	—
545	C₂×C₄×D₅	—	2	64	no	—
546	C₂×C₄×D₅	—	2	4	no	—
547	C₂×C₄×D₅	—	2	4	no	—
548	C₂×C₄×D₅	—	2	8	no	—
549	C₂×C₄×D₅	—	2	4	no	—
550	C₂×C₄×D₅	—	2	4	no	—
551	C₂×C₄×D₅	—	2	4	no	—
552	C₂×C₄×D₅	—	2	4	no	—
553	C₂×C₄×D₅	—	2	32	no	—
554	C₂×C₄×D₅	—	2	32	no	—
555	C₂×C₄×D₅	—	4	32	no	—
556	C₂×C₄×D₅	—	4	4	no	—
557	C₂×C₄×D₅	—	4	4	no	—
558	C₂×C₄×D₅	C₂×D₄	1	8	yes	—
559	C₂×C₄×D₅	C₂⁴	1	4	yes	—
560	C₂×C₄×D₅	C₂⁴	1	4	yes	—
561	C₂×C₄×D₅	C₂⁴	1	4	yes	—
562	C₂×C₄×D₅	C₂⁴	1	4	yes	—
563	C₂×C₄×D₅	C₂⁴	1	4	yes	—
564	C₂×C₄×D₅	C₂⁴	1	8	yes	—
565	C₂×C₄×D₅	C₂⁴	1	8	yes	—
566	C₂×C₄×D₅	C₂⁴	1	4	yes	—
567	C₂×C₄×D₅	C₂⁴	1	4	yes	—
568	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
569	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
570	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
571	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
572	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
573	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
574	C₂×Dic₁₀	—	2	4	no	—
575	C₂×Dic₁₀	—	2	8	no	—
576	C₂×Dic₁₀	C₂⁴	1	4	yes	complemented
577	C₂×Dic₁₀	C₂⁴	1	8	yes	complemented
578	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
579	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
580	C₅×C₄⋊C₄	C₂⁴	1	8	yes	complemented
581	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
582	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
583	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
584	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
585	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
586	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
587	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
588	C₄²×C₅	C₂⁴	1	4	yes	complemented
589	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
590	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
591	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
592	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
593	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
594	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
595	C₂²⋊Dic₅	C₂⁴	1	4	yes	complemented
596	#685	C₂⁴	1	4	yes	—
597	#685	C₂⁴	1	4	yes	—
598	#685	C₂⁴	1	8	yes	—
599	#685	C₂⁴	1	8	yes	—
600	#685	C₂⁴	1	8	yes	complemented
601	#685	C₂⁴	1	4	yes	complemented
602	#685	C₂⁴	1	8	yes	complemented
603	#685	C₂⁴	1	8	yes	complemented
604	#685	C₂⁴	1	8	yes	complemented
605	#685	C₂⁴	1	8	yes	complemented
606	#685	C₂⁴	1	8	yes	complemented
607	#685	C₂⁴	1	8	yes	complemented
608	#685	C₂⁴	1	8	yes	complemented
609	#685	C₂⁴	1	4	yes	complemented
610	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
611	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
612	C₄⋊Dic₅	C₂⁴	1	8	yes	complemented
613	#683	C₂⁴	1	8	yes	complemented
614	#683	C₂⁴	1	8	yes	complemented
615	#683	C₂⁴	1	4	yes	complemented
616	#683	C₂⁴	1	4	yes	complemented
617	#683	C₂⁴	1	8	yes	complemented
618	C₄×Dic₅	C₂⁴	1	4	yes	complemented
619	C₄×Dic₅	C₂⁴	1	4	yes	complemented
620	C₄×Dic₅	C₂⁴	1	4	yes	complemented
621	C₂⁶	—	5	2	no	—
622	C₂²×#41	—	5	16	no	—
623	C₂²×#41	—	5	1	no	—
624	C₂²×#41	—	5	1	no	—
625	C₂²×#41	—	5	2	no	—
626	C₂²×#41	—	5	1	no	—
627	C₂²×#41	—	5	2	no	—
628	C₂²×#41	—	10	16	no	—
629	C₂²×#41	C₂×D₅	1	1	yes	characteristic, complemented
630	C₂³×Q₈	—	5	1	no	—
631	C₂³×D₄	—	5	1	no	—
632	C₂³×D₄	—	5	2	no	—
633	C₂³×D₄	—	5	2	no	—
634	C₂³×D₄	—	5	1	no	—
635	C₂³×D₄	—	5	2	no	—
636	C₂³×D₄	—	5	1	no	—
637	C₂³×D₄	—	5	1	no	—
638	C₂³×D₄	—	5	1	no	—
639	C₂³×D₄	—	5	16	no	—
640	C₂³×D₄	—	5	2	no	—
641	C₂³×D₄	—	5	2	no	—
642	C₂³×D₄	—	5	1	no	—
643	C₂³×D₄	—	10	16	no	—
644	C₂³×D₄	C₂×D₅	1	1	yes	characteristic, complemented
645	C₂⁴×C₄	—	5	1	no	—
646	C₂⁴×C₄	—	5	2	no	—
647	C₂⁴×C₄	—	5	1	no	—
648	C₂⁴×C₄	—	5	2	no	—
649	#546	—	5	16	no	—
650	#546	—	5	16	no	—
651	#546	—	5	16	no	—
652	#546	—	5	32	no	—
653	#546	—	5	16	no	—
654	#546	—	5	32	no	—
655	#546	—	5	16	no	—
656	#546	—	5	32	no	—
657	#546	—	5	16	no	—
658	#546	—	5	16	no	—
659	#546	—	5	32	no	—
660	#546	C₂×D₅	1	16	yes	direct product factor
661	C₂×#124	—	5	1	no	—
662	C₂×#124	—	5	1	no	—
663	C₂×#124	—	5	16	no	—
664	C₂×#124	—	5	2	no	—
665	C₂×#124	—	5	2	no	—
666	C₂×#124	—	5	1	no	—
667	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
668	C₂×#123	—	5	2	no	—
669	C₂×#123	—	5	2	no	—
670	C₂×#123	—	5	32	no	—
671	C₂×#123	—	5	2	no	—
672	C₂×#123	—	5	2	no	—
673	C₂×#123	—	5	2	no	—
674	C₂×#123	—	5	2	no	—
675	C₂×#123	—	5	2	no	—
676	C₂×#123	C₂×D₅	1	2	yes	complemented
677	C₂×C₂²⋊Q₈	—	5	1	no	—
678	C₂×C₂²⋊Q₈	—	5	1	no	—
679	C₂×C₂²⋊Q₈	—	5	16	no	—
680	C₂×C₂²⋊Q₈	—	5	2	no	—
681	C₂×C₂²⋊Q₈	—	5	1	no	—
682	C₂×C₂²⋊Q₈	—	5	2	no	—
683	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
684	C₂×#121	—	5	1	no	—
685	C₂×#121	—	5	2	no	—
686	C₂×#121	—	5	2	no	—
687	C₂×#121	—	5	2	no	—
688	C₂×#121	—	5	2	no	—
689	C₂×#121	—	5	1	no	—
690	C₂×#121	—	5	2	no	—
691	C₂×#121	—	5	16	no	—
692	C₂×#121	—	5	32	no	—
693	C₂×#121	—	5	1	no	—
694	C₂×#121	—	5	2	no	—
695	C₂×#121	—	5	2	no	—
696	C₂×#121	—	5	2	no	—
697	C₂×#121	—	5	2	no	—
698	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
699	C₂×#121	C₂×D₅	1	2	yes	complemented
700	C₂×#120	—	5	2	no	—
701	C₂×#120	—	5	2	no	—
702	C₂×#120	—	5	2	no	—
703	C₂×#120	—	5	2	no	—
704	C₂×#120	—	5	32	no	—
705	C₂×#120	—	5	2	no	—
706	C₂×#120	—	5	2	no	—
707	C₂×#120	—	5	2	no	—
708	C₂×#120	C₂×D₅	1	2	yes	complemented
709	C₂×C₄×D₄	—	5	1	no	—
710	C₂×C₄×D₄	—	5	1	no	—
711	C₂×C₄×D₄	—	5	1	no	—
712	C₂×C₄×D₄	—	5	2	no	—
713	C₂×C₄×D₄	—	5	1	no	—
714	C₂×C₄×D₄	—	5	16	no	—
715	C₂×C₄×D₄	—	5	16	no	—
716	C₂×C₄×D₄	—	5	1	no	—
717	C₂×C₄×D₄	—	5	1	no	—
718	C₂×C₄×D₄	—	5	1	no	—
719	C₂×C₄×D₄	—	5	1	no	—
720	C₂×C₄×D₄	—	5	2	no	—
721	C₂×C₄×D₄	—	5	1	no	—
722	C₂×C₄×D₄	—	5	1	no	—
723	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
724	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
725	C₂²×C₄⋊C₄	—	5	1	no	—
726	C₂²×C₄⋊C₄	—	5	1	no	—
727	C₂²×C₄⋊C₄	—	5	2	no	—
728	C₂²×C₂²⋊C₄	—	5	2	no	—
729	C₂²×C₂²⋊C₄	—	5	2	no	—
730	C₂²×C₂²⋊C₄	—	5	2	no	—
731	C₂²×C₂²⋊C₄	—	5	1	no	—
732	C₂²×C₂²⋊C₄	—	5	2	no	—
733	C₂²×C₂²⋊C₄	—	5	2	no	—
734	C₂²×C₂²⋊C₄	—	5	2	no	—
735	C₂²×C₂²⋊C₄	—	5	2	no	—
736	C₂²×C₂²⋊C₄	—	5	2	no	—
737	C₂²×C₂²⋊C₄	—	5	2	no	—
738	C₂²×C₂²⋊C₄	—	5	2	no	—
739	C₂²×C₂²⋊C₄	—	5	32	no	—
740	C₂²×C₂²⋊C₄	—	5	2	no	—
741	C₂²×C₂²⋊C₄	—	5	1	no	—
742	C₂²×C₂²⋊C₄	—	5	2	no	—
743	C₂²×C₂²⋊C₄	C₂×D₅	1	2	yes	complemented
744	C₂²×C₄²	—	5	1	no	—
745	C₂³×C₅	—	2	2	no	—
746	C₂³×C₅	—	2	4	no	—
747	C₂³×C₅	—	2	4	no	—
748	C₂³×C₅	—	2	2	no	—
749	C₂³×C₅	—	2	2	no	—
750	C₂³×C₅	—	2	16	no	—
751	C₂³×C₅	—	2	4	no	—
752	C₂³×C₅	—	2	2	no	—
753	C₂³×C₅	—	2	4	no	—
754	C₂³×C₅	—	2	16	no	—
755	C₂³×C₅	—	2	2	no	—
756	C₂³×C₅	—	2	4	no	—
757	C₂³×C₅	—	4	8	no	—
758	C₂³×C₅	—	4	32	no	—
759	C₂³×C₅	C₂²×D₄	1	8	yes	—
760	C₂³×C₅	C₂×#41	1	4	yes	complemented
761	C₂³×C₅	C₂⁵	1	4	yes	—
762	C₂³×C₅	C₂⁵	1	2	yes	—
763	C₂³×C₅	C₂⁵	1	4	yes	—
764	C₂³×C₅	C₂⁵	1	2	yes	—
765	C₂³×C₅	C₂⁵	1	1	yes	characteristic
766	C₂²×D₅	—	2	2	no	—
767	C₂²×D₅	—	2	4	no	—
768	C₂²×D₅	—	2	4	no	—
769	C₂²×D₅	—	2	2	no	—
770	C₂²×D₅	—	2	32	no	—
771	C₂²×D₅	—	2	64	no	—
772	C₂²×D₅	—	2	8	no	—
773	C₂²×D₅	—	2	16	no	—
774	C₂²×D₅	—	2	16	no	—
775	C₂²×D₅	—	2	8	no	—
776	C₂²×D₅	—	2	2	no	—
777	C₂²×D₅	—	2	4	no	—
778	C₂²×D₅	—	2	16	no	—
779	C₂²×D₅	—	2	2	no	—
780	C₂²×D₅	—	2	4	no	—
781	C₂²×D₅	—	2	16	no	—
782	C₂²×D₅	—	2	2	no	—
783	C₂²×D₅	—	2	4	no	—
784	C₂²×D₅	—	2	8	no	—
785	C₂²×D₅	—	2	16	no	—
786	C₂²×D₅	—	2	16	no	—
787	C₂²×D₅	—	2	16	no	—
788	C₂²×D₅	—	2	8	no	—
789	C₂²×D₅	—	2	16	no	—
790	C₂²×D₅	—	2	16	no	—
791	C₂²×D₅	—	2	16	no	—
792	C₂²×D₅	—	2	8	no	—
793	C₂²×D₅	—	2	16	no	—
794	C₂²×D₅	—	4	8	no	—
795	C₂²×D₅	—	4	8	no	—
796	C₂²×D₅	—	4	8	no	—
797	C₂²×D₅	—	4	32	no	—
798	C₂²×D₅	—	4	256	no	—
799	C₂²×D₅	—	4	32	no	—
800	C₂²×D₅	—	4	32	no	—
801	C₂²×D₅	—	4	16	no	—
802	C₂²×D₅	—	4	32	no	—
803	C₂²×D₅	C₂²×D₄	1	8	yes	—
804	C₂²×D₅	C₂²×D₄	1	32	yes	—
805	C₂²×D₅	C₂²×D₄	1	4	yes	—
806	C₂²×D₅	C₂×#41	1	4	yes	—
807	C₂²×D₅	C₂×#41	1	16	yes	complemented
808	C₂²×D₅	C₂×#41	1	4	yes	complemented
809	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
810	C₂²×D₅	C₂⁵	1	4	yes	—
811	C₂²×D₅	C₂⁵	1	2	yes	—
812	C₂²×D₅	C₂⁵	1	4	yes	—
813	C₂²×D₅	C₂⁵	1	2	yes	—
814	C₂²×D₅	C₂⁵	1	2	yes	—
815	C₅×Q₈	—	2	8	no	—
816	C₅×D₄	—	2	16	no	—
817	C₅×D₄	—	2	16	no	—
818	C₅×D₄	—	2	8	no	—
819	C₅×D₄	—	2	8	no	—
820	C₅×D₄	—	4	8	no	—
821	C₅×D₄	C₂²×D₄	1	16	yes	complemented
822	C₂×C₄×C₅	—	2	4	no	—
823	C₂×C₄×C₅	—	2	2	no	—
824	C₂×C₄×C₅	—	2	2	no	—
825	C₂×C₄×C₅	—	2	16	no	—
826	C₂×C₄×C₅	—	2	2	no	—
827	C₂×C₄×C₅	—	2	2	no	—
828	C₂×C₄×C₅	—	2	4	no	—
829	C₂×C₄×C₅	—	2	8	no	—
830	C₂×C₄×C₅	—	2	8	no	—
831	C₂×C₄×C₅	—	4	8	no	—
832	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
833	C₂×C₄×C₅	C₂⁵	1	2	yes	—
834	C₂×C₄×C₅	C₂⁵	1	2	yes	—
835	C₂×C₄×C₅	C₂⁵	1	2	yes	—
836	C₂×C₄×C₅	C₂⁵	1	4	yes	—
837	C₂×C₄×C₅	C₂⁵	1	4	yes	—
838	C₂×C₄×C₅	C₂⁵	1	2	yes	—
839	C₂×C₄×C₅	C₂⁵	1	2	yes	—
840	C₂²⋊D₅	—	2	16	no	—
841	C₂²⋊D₅	—	2	16	no	—
842	C₂²⋊D₅	—	2	8	no	—
843	C₂²⋊D₅	—	2	16	no	—
844	C₂²⋊D₅	—	2	16	no	—
845	C₂²⋊D₅	—	2	8	no	—
846	C₂²⋊D₅	—	2	16	no	—
847	C₂²⋊D₅	—	4	8	no	—
848	C₂²⋊D₅	—	4	8	no	—
849	C₂²⋊D₅	C₂²×D₄	1	32	yes	complemented
850	C₂×Dic₅	—	2	4	no	—
851	C₂×Dic₅	—	2	2	no	—
852	C₂×Dic₅	—	2	16	no	—
853	C₂×Dic₅	—	2	2	no	—
854	C₂×Dic₅	—	2	2	no	—
855	C₂×Dic₅	—	2	2	no	—
856	C₂×Dic₅	—	2	4	no	—
857	C₂×Dic₅	—	2	8	no	—
858	C₂×Dic₅	—	2	8	no	—
859	C₂×Dic₅	—	4	8	no	—
860	C₂×Dic₅	C₂²×D₄	1	4	yes	—
861	C₂×Dic₅	C₂⁵	1	2	yes	—
862	C₂×Dic₅	C₂⁵	1	2	yes	—
863	C₂×Dic₅	C₂⁵	1	2	yes	—
864	C₂×Dic₅	C₂⁵	1	4	yes	—
865	C₂×Dic₅	C₂⁵	1	4	yes	—
866	C₂×Dic₅	C₂⁵	1	2	yes	—
867	C₂×Dic₅	C₂⁵	1	2	yes	—
868	D₂₀	—	2	16	no	—
869	D₂₀	—	2	16	no	—
870	D₂₀	—	2	8	no	—
871	D₂₀	—	2	8	no	—
872	D₂₀	—	4	8	no	—
873	D₂₀	C₂²×D₄	1	16	yes	complemented
874	C₄×D₅	—	2	8	no	—
875	C₄×D₅	—	2	8	no	—
876	C₄×D₅	—	2	16	no	—
877	C₄×D₅	—	2	16	no	—
878	C₄×D₅	—	2	16	no	—
879	C₄×D₅	—	2	8	no	—
880	C₄×D₅	—	2	8	no	—
881	C₄×D₅	—	2	16	no	—
882	C₄×D₅	—	2	8	no	—
883	C₄×D₅	—	2	8	no	—
884	C₄×D₅	—	2	8	no	—
885	C₄×D₅	—	2	8	no	—
886	C₄×D₅	—	4	8	no	—
887	C₄×D₅	—	4	8	no	—
888	C₄×D₅	C₂²×D₄	1	16	yes	—
889	Dic₁₀	—	2	8	no	—
890	Dic₁₀	—	2	16	no	—
891	C₂⁵	—	5	1	no	—
892	C₂⁵	—	5	2	no	—
893	C₂⁵	—	5	2	no	—
894	C₂⁵	—	5	1	no	—
895	C₂⁵	—	5	16	no	—
896	C₂⁵	—	5	2	no	—
897	C₂⁵	—	5	2	no	—
898	C₂⁵	—	5	2	no	—
899	C₂⁵	—	10	16	no	—
900	C₂⁵	—	10	16	no	—
901	C₂⁵	—	20	8	no	—
902	C₂⁵	C₂²×D₅	1	2	yes	—
903	C₂×#41	—	2	8	no	—
904	C₂×#41	—	5	8	no	—
905	C₂×#41	—	5	8	no	—
906	C₂×#41	—	5	16	no	—
907	C₂×#41	—	5	8	no	—
908	C₂×#41	—	5	16	no	—
909	C₂×#41	—	10	16	no	—
910	C₂×#41	—	10	8	no	—
911	C₂×#41	—	10	16	no	—
912	C₂×#41	—	10	8	no	—
913	C₂×#41	—	10	128	no	—
914	C₂×#41	—	10	8	no	—
915	C₂×#41	C₂²×D₅	1	8	yes	complemented
916	C₂²×Q₈	—	5	8	no	—
917	C₂²×Q₈	—	5	2	no	—
918	C₂²×Q₈	—	5	1	no	—
919	C₂²×Q₈	—	10	8	no	—
920	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
921	C₂²×D₄	—	2	8	no	—
922	C₂²×D₄	—	5	2	no	—
923	C₂²×D₄	—	5	16	no	—
924	C₂²×D₄	—	5	8	no	—
925	C₂²×D₄	—	5	1	no	—
926	C₂²×D₄	—	5	1	no	—
927	C₂²×D₄	—	5	2	no	—
928	C₂²×D₄	—	5	2	no	—
929	C₂²×D₄	—	5	2	no	—
930	C₂²×D₄	—	5	2	no	—
931	C₂²×D₄	—	5	2	no	—
932	C₂²×D₄	—	5	16	no	—
933	C₂²×D₄	—	5	2	no	—
934	C₂²×D₄	—	5	2	no	—
935	C₂²×D₄	—	5	8	no	—
936	C₂²×D₄	—	5	16	no	—
937	C₂²×D₄	—	5	8	no	—
938	C₂²×D₄	—	5	16	no	—
939	C₂²×D₄	—	5	8	no	—
940	C₂²×D₄	—	5	8	no	—
941	C₂²×D₄	—	5	16	no	—
942	C₂²×D₄	—	5	16	no	—
943	C₂²×D₄	—	5	1	no	—
944	C₂²×D₄	—	5	1	no	—
945	C₂²×D₄	—	5	2	no	—
946	C₂²×D₄	—	5	2	no	—
947	C₂²×D₄	—	5	1	no	—
948	C₂²×D₄	—	5	8	no	—
949	C₂²×D₄	—	5	2	no	—
950	C₂²×D₄	—	10	8	no	—
951	C₂²×D₄	—	10	8	no	—
952	C₂²×D₄	—	10	16	no	—
953	C₂²×D₄	—	10	128	no	—
954	C₂²×D₄	—	10	8	no	—
955	C₂²×D₄	—	10	8	no	—
956	C₂²×D₄	—	10	16	no	—
957	C₂²×D₄	—	10	16	no	—
958	C₂²×D₄	—	10	16	no	—
959	C₂²×D₄	—	10	8	no	—
960	C₂²×D₄	—	20	8	no	—
961	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
962	C₂²×D₄	C₂²×D₅	1	2	yes	—
963	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
964	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
965	C₂²×D₄	C₂²×D₅	1	8	yes	complemented
966	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
967	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
968	C₂³×C₄	—	5	1	no	—
969	C₂³×C₄	—	5	2	no	—
970	C₂³×C₄	—	5	1	no	—
971	C₂³×C₄	—	5	1	no	—
972	C₂³×C₄	—	5	2	no	—
973	C₂³×C₄	—	5	1	no	—
974	C₂³×C₄	—	5	1	no	—
975	C₂³×C₄	—	5	2	no	—
976	C₂³×C₄	—	5	1	no	—
977	C₂³×C₄	—	5	2	no	—
978	C₂³×C₄	—	5	2	no	—
979	C₂³×C₄	—	5	2	no	—
980	C₂³×C₄	—	5	1	no	—
981	C₂³×C₄	—	5	1	no	—
982	C₂³×C₄	—	5	1	no	—
983	C₂³×C₄	—	5	1	no	—
984	C₂³×C₄	—	5	8	no	—
985	C₂³×C₄	—	5	1	no	—
986	C₂³×C₄	—	5	16	no	—
987	C₂³×C₄	—	5	8	no	—
988	C₂³×C₄	—	5	2	no	—
989	C₂³×C₄	—	5	2	no	—
990	C₂³×C₄	—	5	16	no	—
991	C₂³×C₄	—	10	8	no	—
992	C₂³×C₄	—	10	8	no	—
993	C₂³×C₄	—	10	16	no	—
994	C₂³×C₄	—	20	8	no	—
995	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
996	C₂³×C₄	C₂²×D₅	1	2	yes	complemented
997	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic, complemented
998	C₂³×C₄	C₂²×D₅	1	2	yes	complemented
999	#124	—	5	8	no	—
1000	#124	—	5	8	no	—
1001	#124	—	5	16	no	—
1002	#124	—	5	16	no	—
1003	#124	—	5	8	no	—
1004	#124	C₂²×D₅	1	8	yes	complemented
1005	#123	—	5	16	no	—
1006	#123	—	5	16	no	—
1007	#123	—	5	16	no	—
1008	#123	—	5	16	no	—
1009	#123	—	5	16	no	—
1010	#123	—	5	16	no	—
1011	#123	—	5	16	no	—
1012	#123	C₂²×D₅	1	16	yes	complemented
1013	C₂²⋊Q₈	—	5	8	no	—
1014	C₂²⋊Q₈	—	5	8	no	—
1015	C₂²⋊Q₈	—	5	16	no	—
1016	C₂²⋊Q₈	—	5	8	no	—
1017	C₂²⋊Q₈	—	5	16	no	—
1018	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1019	#121	—	5	8	no	—
1020	#121	—	5	16	no	—
1021	#121	—	5	16	no	—
1022	#121	—	5	16	no	—
1023	#121	—	5	16	no	—
1024	#121	—	5	8	no	—
1025	#121	—	5	16	no	—
1026	#121	—	5	8	no	—
1027	#121	—	5	16	no	—
1028	#121	—	5	16	no	—
1029	#121	—	5	16	no	—
1030	#121	—	5	16	no	—
1031	#121	C₂²×D₅	1	8	yes	complemented
1032	#121	C₂²×D₅	1	16	yes	complemented
1033	#120	—	5	16	no	—
1034	#120	—	5	16	no	—
1035	#120	—	5	16	no	—
1036	#120	—	5	16	no	—
1037	#120	—	5	16	no	—
1038	#120	—	5	16	no	—
1039	#120	—	5	16	no	—
1040	#120	C₂²×D₅	1	16	yes	complemented
1041	C₄×D₄	—	5	8	no	—
1042	C₄×D₄	—	5	8	no	—
1043	C₄×D₄	—	5	8	no	—
1044	C₄×D₄	—	5	16	no	—
1045	C₄×D₄	—	5	8	no	—
1046	C₄×D₄	—	5	8	no	—
1047	C₄×D₄	—	5	8	no	—
1048	C₄×D₄	—	5	8	no	—
1049	C₄×D₄	—	5	8	no	—
1050	C₄×D₄	—	5	16	no	—
1051	C₄×D₄	—	5	8	no	—
1052	C₄×D₄	—	5	8	no	—
1053	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1054	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1055	C₂×C₄⋊C₄	—	5	2	no	—
1056	C₂×C₄⋊C₄	—	5	1	no	—
1057	C₂×C₄⋊C₄	—	5	1	no	—
1058	C₂×C₄⋊C₄	—	5	1	no	—
1059	C₂×C₄⋊C₄	—	5	1	no	—
1060	C₂×C₄⋊C₄	—	5	2	no	—
1061	C₂×C₄⋊C₄	—	5	2	no	—
1062	C₂×C₄⋊C₄	—	5	2	no	—
1063	C₂×C₄⋊C₄	—	5	8	no	—
1064	C₂×C₄⋊C₄	—	5	8	no	—
1065	C₂×C₄⋊C₄	—	5	16	no	—
1066	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1067	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1068	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	complemented
1069	C₂×C₂²⋊C₄	—	5	1	no	—
1070	C₂×C₂²⋊C₄	—	5	2	no	—
1071	C₂×C₂²⋊C₄	—	5	2	no	—
1072	C₂×C₂²⋊C₄	—	5	2	no	—
1073	C₂×C₂²⋊C₄	—	5	16	no	—
1074	C₂×C₂²⋊C₄	—	5	2	no	—
1075	C₂×C₂²⋊C₄	—	5	1	no	—
1076	C₂×C₂²⋊C₄	—	5	2	no	—
1077	C₂×C₂²⋊C₄	—	5	1	no	—
1078	C₂×C₂²⋊C₄	—	5	1	no	—
1079	C₂×C₂²⋊C₄	—	5	2	no	—
1080	C₂×C₂²⋊C₄	—	5	2	no	—
1081	C₂×C₂²⋊C₄	—	5	2	no	—
1082	C₂×C₂²⋊C₄	—	5	2	no	—
1083	C₂×C₂²⋊C₄	—	5	2	no	—
1084	C₂×C₂²⋊C₄	—	5	2	no	—
1085	C₂×C₂²⋊C₄	—	5	2	no	—
1086	C₂×C₂²⋊C₄	—	5	2	no	—
1087	C₂×C₂²⋊C₄	—	5	1	no	—
1088	C₂×C₂²⋊C₄	—	5	1	no	—
1089	C₂×C₂²⋊C₄	—	5	2	no	—
1090	C₂×C₂²⋊C₄	—	5	2	no	—
1091	C₂×C₂²⋊C₄	—	5	16	no	—
1092	C₂×C₂²⋊C₄	—	5	16	no	—
1093	C₂×C₂²⋊C₄	—	5	8	no	—
1094	C₂×C₂²⋊C₄	—	5	16	no	—
1095	C₂×C₂²⋊C₄	—	5	16	no	—
1096	C₂×C₂²⋊C₄	—	5	16	no	—
1097	C₂×C₂²⋊C₄	—	5	16	no	—
1098	C₂×C₂²⋊C₄	—	5	16	no	—
1099	C₂×C₂²⋊C₄	—	5	16	no	—
1100	C₂×C₂²⋊C₄	—	5	16	no	—
1101	C₂×C₂²⋊C₄	—	5	16	no	—
1102	C₂×C₂²⋊C₄	—	5	8	no	—
1103	C₂×C₂²⋊C₄	—	5	16	no	—
1104	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1106	C₂×C₂²⋊C₄	C₂²×D₅	1	16	yes	complemented
1107	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1108	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1109	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1110	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1111	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1112	C₂×C₄²	—	5	1	no	—
1113	C₂×C₄²	—	5	1	no	—
1114	C₂×C₄²	—	5	1	no	—
1115	C₂×C₄²	—	5	8	no	—
1116	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
1117	C₂²×C₅	—	2	2	no	—
1118	C₂²×C₅	—	2	4	no	—
1119	C₂²×C₅	—	2	4	no	—
1120	C₂²×C₅	—	2	2	no	—
1121	C₂²×C₅	—	2	8	no	—
1122	C₂²×C₅	—	2	16	no	—
1123	C₂²×C₅	—	2	2	no	—
1124	C₂²×C₅	—	2	4	no	—
1125	C₂²×C₅	—	2	2	no	—
1126	C₂²×C₅	—	2	4	no	—
1127	C₂²×C₅	—	2	2	no	—
1128	C₂²×C₅	—	2	4	no	—
1129	C₂²×C₅	—	4	32	no	—
1130	C₂²×C₅	—	4	8	no	—
1131	C₂²×C₅	—	4	4	no	—
1132	C₂²×C₅	C₂³×D₄	1	8	yes	—
1133	C₂²×C₅	C₂³×D₄	1	2	yes	—
1134	C₂²×C₅	C₂²×#41	1	2	yes	—
1135	C₂²×C₅	C₂²×#41	1	4	yes	complemented
1136	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1137	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1138	C₂×D₅	—	2	2	no	—
1139	C₂×D₅	—	2	4	no	—
1140	C₂×D₅	—	2	4	no	—
1141	C₂×D₅	—	2	2	no	—
1142	C₂×D₅	—	2	8	no	—
1143	C₂×D₅	—	2	16	no	—
1144	C₂×D₅	—	2	32	no	—
1145	C₂×D₅	—	2	64	no	—
1146	C₂×D₅	—	2	2	no	—
1147	C₂×D₅	—	2	4	no	—
1148	C₂×D₅	—	2	2	no	—
1149	C₂×D₅	—	2	4	no	—
1150	C₂×D₅	—	2	2	no	—
1151	C₂×D₅	—	2	4	no	—
1152	C₂×D₅	—	4	32	no	—
1153	C₂×D₅	—	4	32	no	—
1154	C₂×D₅	—	4	32	no	—
1155	C₂×D₅	—	4	4	no	—
1156	C₂×D₅	—	4	8	no	—
1157	C₂×D₅	—	4	16	no	—
1158	C₂×D₅	—	4	32	no	—
1159	C₂×D₅	#546	1	16	yes	direct product factor
1160	C₂×D₅	C₂³×D₄	1	8	yes	—
1161	C₂×D₅	C₂³×D₄	1	4	yes	—
1162	C₂×D₅	C₂²×#41	1	4	yes	—
1163	C₂×D₅	C₂²×#41	1	4	yes	complemented
1164	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1165	C₄×C₅	—	2	4	no	—
1166	C₄×C₅	—	2	2	no	—
1167	C₄×C₅	—	2	2	no	—
1168	C₄×C₅	—	2	2	no	—
1169	C₄×C₅	—	2	2	no	—
1170	C₄×C₅	—	2	4	no	—
1171	C₄×C₅	C₂³×D₄	1	4	yes	—
1172	Dic₅	—	2	4	no	—
1173	Dic₅	—	2	2	no	—
1174	Dic₅	—	2	2	no	—
1175	Dic₅	—	2	2	no	—
1176	Dic₅	—	2	2	no	—
1177	Dic₅	—	2	4	no	—
1178	Dic₅	C₂³×D₄	1	4	yes	—
1179	C₂⁴	—	2	8	no	—
1180	C₂⁴	—	2	8	no	—
1181	C₂⁴	—	4	4	no	—
1182	C₂⁴	—	5	1	no	—
1183	C₂⁴	—	5	16	no	—
1184	C₂⁴	—	5	8	no	—
1185	C₂⁴	—	5	4	no	—
1186	C₂⁴	—	5	8	no	—
1187	C₂⁴	—	5	1	no	—
1188	C₂⁴	—	5	2	no	—
1189	C₂⁴	—	5	8	no	—
1190	C₂⁴	—	5	4	no	—
1191	C₂⁴	—	5	2	no	—
1192	C₂⁴	—	5	1	no	—
1193	C₂⁴	—	5	8	no	—
1194	C₂⁴	—	5	8	no	—
1195	C₂⁴	—	5	8	no	—
1196	C₂⁴	—	10	4	no	—
1197	C₂⁴	—	10	8	no	—
1198	C₂⁴	—	10	8	no	—
1199	C₂⁴	—	10	4	no	—
1200	C₂⁴	—	10	4	no	—
1201	C₂⁴	—	10	8	no	—
1202	C₂⁴	—	10	8	no	—
1203	C₂⁴	—	10	64	no	—
1204	C₂⁴	—	10	8	no	—
1205	C₂⁴	—	10	4	no	—
1206	C₂⁴	—	10	4	no	—
1207	C₂⁴	—	10	8	no	—
1208	C₂⁴	—	10	8	no	—
1209	C₂⁴	—	10	8	no	—
1210	C₂⁴	—	10	8	no	—
1211	C₂⁴	—	10	64	no	—
1212	C₂⁴	—	10	8	no	—
1213	C₂⁴	—	10	8	no	—
1214	C₂⁴	—	20	4	no	—
1215	C₂⁴	—	20	4	no	—
1216	C₂⁴	—	20	4	no	—
1217	C₂⁴	—	20	32	no	—
1218	C₂⁴	—	20	128	no	—
1219	C₂⁴	C₂³×D₅	1	2	yes	—
1220	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1221	C₂⁴	C₂³×D₅	1	8	yes	—
1222	C₂⁴	C₂³×D₅	1	2	yes	—
1223	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1224	#41	—	2	32	no	—
1225	#41	—	10	64	no	—
1226	#41	—	10	32	no	—
1227	#41	—	10	64	no	—
1228	#41	—	10	32	no	—
1229	#41	—	10	32	no	—
1230	C₂×Q₈	—	2	4	no	—
1231	C₂×Q₈	—	5	8	no	—
1232	C₂×Q₈	—	5	4	no	—
1233	C₂×Q₈	—	10	8	no	—
1234	C₂×Q₈	—	10	32	no	—
1235	C₂×Q₈	—	10	4	no	—
1236	C₂×Q₈	C₂³×D₅	1	4	yes	complemented
1237	C₂×D₄	—	2	8	no	—
1238	C₂×D₄	—	2	8	no	—
1239	C₂×D₄	—	2	4	no	—
1240	C₂×D₄	—	2	32	no	—
1241	C₂×D₄	—	2	4	no	—
1242	C₂×D₄	—	4	4	no	—
1243	C₂×D₄	—	5	16	no	—
1244	C₂×D₄	—	5	8	no	—
1245	C₂×D₄	—	5	64	no	—
1246	C₂×D₄	—	5	4	no	—
1247	C₂×D₄	—	5	4	no	—
1248	C₂×D₄	—	5	8	no	—
1249	C₂×D₄	—	5	8	no	—
1250	C₂×D₄	—	5	8	no	—
1251	C₂×D₄	—	5	8	no	—
1252	C₂×D₄	—	5	8	no	—
1253	C₂×D₄	—	5	8	no	—
1254	C₂×D₄	—	5	8	no	—
1255	C₂×D₄	—	5	8	no	—
1256	C₂×D₄	—	5	4	no	—
1257	C₂×D₄	—	5	4	no	—
1258	C₂×D₄	—	5	8	no	—
1259	C₂×D₄	—	5	8	no	—
1260	C₂×D₄	—	5	4	no	—
1261	C₂×D₄	—	5	8	no	—
1262	C₂×D₄	—	10	32	no	—
1263	C₂×D₄	—	10	8	no	—
1264	C₂×D₄	—	10	8	no	—
1265	C₂×D₄	—	10	4	no	—
1266	C₂×D₄	—	10	32	no	—
1267	C₂×D₄	—	10	8	no	—
1268	C₂×D₄	—	10	64	no	—
1269	C₂×D₄	—	10	32	no	—
1270	C₂×D₄	—	10	64	no	—
1271	C₂×D₄	—	10	64	no	—
1272	C₂×D₄	—	10	32	no	—
1273	C₂×D₄	—	10	64	no	—
1274	C₂×D₄	—	10	8	no	—
1275	C₂×D₄	—	10	8	no	—
1276	C₂×D₄	—	10	4	no	—
1277	C₂×D₄	—	10	8	no	—
1278	C₂×D₄	—	10	8	no	—
1279	C₂×D₄	—	10	4	no	—
1280	C₂×D₄	—	10	32	no	—
1281	C₂×D₄	—	10	4	no	—
1282	C₂×D₄	—	20	4	no	—
1283	C₂×D₄	—	20	32	no	—
1284	C₂×D₄	—	20	4	no	—
1285	C₂×D₄	—	20	4	no	—
1286	C₂×D₄	D₄×D₅	1	8	yes	complemented
1287	C₂×D₄	C₂³×D₅	1	4	yes	—
1288	C₂×D₄	C₂³×D₅	1	8	yes	—
1289	C₂×D₄	C₂³×D₅	1	4	yes	—
1290	C₂×D₄	C₂³×D₅	1	4	yes	—
1291	C₂×D₄	C₂³×D₅	1	8	yes	complemented
1292	C₂×D₄	C₂³×D₅	1	8	yes	complemented
1293	C₂²×C₄	—	2	8	no	—
1294	C₂²×C₄	—	2	4	no	—
1295	C₂²×C₄	—	2	4	no	—
1296	C₂²×C₄	—	4	4	no	—
1297	C₂²×C₄	—	5	1	no	—
1298	C₂²×C₄	—	5	8	no	—
1299	C₂²×C₄	—	5	4	no	—
1300	C₂²×C₄	—	5	8	no	—
1301	C₂²×C₄	—	5	4	no	—
1302	C₂²×C₄	—	5	4	no	—
1303	C₂²×C₄	—	5	1	no	—
1304	C₂²×C₄	—	5	1	no	—
1305	C₂²×C₄	—	5	2	no	—
1306	C₂²×C₄	—	5	1	no	—
1307	C₂²×C₄	—	5	2	no	—
1308	C₂²×C₄	—	5	1	no	—
1309	C₂²×C₄	—	5	8	no	—
1310	C₂²×C₄	—	5	4	no	—
1311	C₂²×C₄	—	5	4	no	—
1312	C₂²×C₄	—	5	8	no	—
1313	C₂²×C₄	—	5	4	no	—
1314	C₂²×C₄	—	5	8	no	—
1315	C₂²×C₄	—	5	8	no	—
1316	C₂²×C₄	—	5	8	no	—
1317	C₂²×C₄	—	5	4	no	—
1318	C₂²×C₄	—	5	4	no	—
1319	C₂²×C₄	—	5	4	no	—
1320	C₂²×C₄	—	5	4	no	—
1321	C₂²×C₄	—	5	4	no	—
1322	C₂²×C₄	—	5	8	no	—
1323	C₂²×C₄	—	5	8	no	—
1324	C₂²×C₄	—	10	4	no	—
1325	C₂²×C₄	—	10	32	no	—
1326	C₂²×C₄	—	10	4	no	—
1327	C₂²×C₄	—	10	32	no	—
1328	C₂²×C₄	—	10	4	no	—
1329	C₂²×C₄	—	10	4	no	—
1330	C₂²×C₄	—	10	8	no	—
1331	C₂²×C₄	—	10	8	no	—
1332	C₂²×C₄	—	10	8	no	—
1333	C₂²×C₄	—	10	64	no	—
1334	C₂²×C₄	—	10	4	no	—
1335	C₂²×C₄	—	10	8	no	—
1336	C₂²×C₄	—	10	4	no	—
1337	C₂²×C₄	—	10	4	no	—
1338	C₂²×C₄	—	10	4	no	—
1339	C₂²×C₄	—	10	8	no	—
1340	C₂²×C₄	—	10	4	no	—
1341	C₂²×C₄	—	10	4	no	—
1342	C₂²×C₄	—	20	4	no	—
1343	C₂²×C₄	—	20	4	no	—
1344	C₂²×C₄	—	20	32	no	—
1345	C₂²×C₄	—	20	4	no	—
1346	C₂²×C₄	C₂³×D₅	1	4	yes	—
1347	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1348	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1349	C₂²×C₄	C₂³×D₅	1	2	yes	—
1350	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1351	C₂²×C₄	C₂³×D₅	1	2	yes	—
1352	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1353	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1354	C₂²×C₄	C₂³×D₅	1	8	yes	complemented
1355	C₂²×C₄	C₂³×D₅	1	4	yes	complemented
1356	C₂²×C₄	C₂³×D₅	1	8	yes	complemented
1357	C₄⋊C₄	—	5	8	no	—
1358	C₄⋊C₄	—	5	4	no	—
1359	C₄⋊C₄	—	5	4	no	—
1360	C₄⋊C₄	—	5	4	no	—
1361	C₄⋊C₄	—	5	4	no	—
1362	C₄⋊C₄	—	5	8	no	—
1363	C₄⋊C₄	—	5	8	no	—
1364	C₄⋊C₄	—	5	8	no	—
1365	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1366	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1367	C₄⋊C₄	C₂³×D₅	1	8	yes	complemented
1368	C₂²⋊C₄	—	5	4	no	—
1369	C₂²⋊C₄	—	5	8	no	—
1370	C₂²⋊C₄	—	5	8	no	—
1371	C₂²⋊C₄	—	5	8	no	—
1372	C₂²⋊C₄	—	5	8	no	—
1373	C₂²⋊C₄	—	5	4	no	—
1374	C₂²⋊C₄	—	5	8	no	—
1375	C₂²⋊C₄	—	5	4	no	—
1376	C₂²⋊C₄	—	5	4	no	—
1377	C₂²⋊C₄	—	5	8	no	—
1378	C₂²⋊C₄	—	5	8	no	—
1379	C₂²⋊C₄	—	5	8	no	—
1380	C₂²⋊C₄	—	5	8	no	—
1381	C₂²⋊C₄	—	5	8	no	—
1382	C₂²⋊C₄	—	5	8	no	—
1383	C₂²⋊C₄	—	5	8	no	—
1384	C₂²⋊C₄	—	5	8	no	—
1385	C₂²⋊C₄	—	5	4	no	—
1386	C₂²⋊C₄	—	5	4	no	—
1387	C₂²⋊C₄	—	5	8	no	—
1388	C₂²⋊C₄	—	5	8	no	—
1389	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1390	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1391	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1392	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1393	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1394	C₂²⋊C₄	C₂³×D₅	1	4	yes	complemented
1395	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1396	C₄²	—	5	4	no	—
1397	C₄²	—	5	4	no	—
1398	C₄²	—	5	4	no	—
1399	C₄²	C₂³×D₅	1	4	yes	complemented
1400	C₂×C₅	—	2	4	no	—
1401	C₂×C₅	—	2	8	no	—
1402	C₂×C₅	—	4	4	no	—
1403	C₂×C₅	—	4	2	no	—
1404	C₂×C₅	C₂×#546	1	4	yes	complemented
1405	C₂×C₅	C₂⁴×D₄	1	1	yes	characteristic
1406	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1407	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1408	D₅	—	2	4	no	—
1409	D₅	—	2	8	no	—
1410	D₅	—	4	2	no	—
1411	D₅	—	4	4	no	—
1412	D₅	C₂×#546	1	8	yes	direct product factor
1413	C₂³	—	2	2	no	—
1414	C₂³	—	2	4	no	—
1415	C₂³	—	2	4	no	—
1416	C₂³	—	2	2	no	—
1417	C₂³	—	2	2	no	—
1418	C₂³	—	2	16	no	—
1419	C₂³	—	2	4	no	—
1420	C₂³	—	2	2	no	—
1421	C₂³	—	2	4	no	—
1422	C₂³	—	2	16	no	—
1423	C₂³	—	2	2	no	—
1424	C₂³	—	2	4	no	—
1425	C₂³	—	4	8	no	—
1426	C₂³	—	4	32	no	—
1427	C₂³	—	5	4	no	—
1428	C₂³	—	5	4	no	—
1429	C₂³	—	5	4	no	—
1430	C₂³	—	5	2	no	—
1431	C₂³	—	5	32	no	—
1432	C₂³	—	5	8	no	—
1433	C₂³	—	5	4	no	—
1434	C₂³	—	5	16	no	—
1435	C₂³	—	5	2	no	—
1436	C₂³	—	5	4	no	—
1437	C₂³	—	5	4	no	—
1438	C₂³	—	5	2	no	—
1439	C₂³	—	10	8	no	—
1440	C₂³	—	10	16	no	—
1441	C₂³	—	10	16	no	—
1442	C₂³	—	10	8	no	—
1443	C₂³	—	10	32	no	—
1444	C₂³	—	10	64	no	—
1445	C₂³	—	10	8	no	—
1446	C₂³	—	10	16	no	—
1447	C₂³	—	10	16	no	—
1448	C₂³	—	10	16	no	—
1449	C₂³	—	10	8	no	—
1450	C₂³	—	10	8	no	—
1451	C₂³	—	10	16	no	—
1452	C₂³	—	10	16	no	—
1453	C₂³	—	10	16	no	—
1454	C₂³	—	10	16	no	—
1455	C₂³	—	10	2	no	—
1456	C₂³	—	10	4	no	—
1457	C₂³	—	10	4	no	—
1458	C₂³	—	10	2	no	—
1459	C₂³	—	10	2	no	—
1460	C₂³	—	10	16	no	—
1461	C₂³	—	10	4	no	—
1462	C₂³	—	10	2	no	—
1463	C₂³	—	10	4	no	—
1464	C₂³	—	10	16	no	—
1465	C₂³	—	10	2	no	—
1466	C₂³	—	10	4	no	—
1467	C₂³	—	20	8	no	—
1468	C₂³	—	20	8	no	—
1469	C₂³	—	20	8	no	—
1470	C₂³	—	20	32	no	—
1471	C₂³	—	20	32	no	—
1472	C₂³	—	20	32	no	—
1473	C₂³	—	20	16	no	—
1474	C₂³	—	20	256	no	—
1475	C₂³	—	20	32	no	—
1476	C₂³	C₂×D₄×D₅	1	8	yes	—
1477	C₂³	D₅×#41	1	4	yes	complemented
1478	C₂³	C₂⁴×D₅	1	4	yes	—
1479	C₂³	C₂⁴×D₅	1	2	yes	—
1480	C₂³	C₂⁴×D₅	1	4	yes	—
1481	C₂³	C₂⁴×D₅	1	2	yes	—
1482	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1483	Q₈	—	2	8	no	—
1484	Q₈	—	10	16	no	—
1485	Q₈	—	10	8	no	—
1486	D₄	—	2	16	no	—
1487	D₄	—	2	16	no	—
1488	D₄	—	2	8	no	—
1489	D₄	—	2	8	no	—
1490	D₄	—	4	8	no	—
1491	D₄	—	5	32	no	—
1492	D₄	—	5	16	no	—
1493	D₄	—	10	16	no	—
1494	D₄	—	10	16	no	—
1495	D₄	—	10	8	no	—
1496	D₄	—	10	16	no	—
1497	D₄	—	10	16	no	—
1498	D₄	—	10	16	no	—
1499	D₄	—	10	8	no	—
1500	D₄	—	10	16	no	—
1501	D₄	—	10	16	no	—
1502	D₄	—	10	8	no	—
1503	D₄	—	10	8	no	—
1504	D₄	—	20	8	no	—
1505	D₄	—	20	8	no	—
1506	D₄	—	20	8	no	—
1507	D₄	C₂×D₄×D₅	1	16	yes	complemented
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	2	no	—
1510	C₂×C₄	—	2	4	no	—
1511	C₂×C₄	—	2	16	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	2	no	—
1514	C₂×C₄	—	2	4	no	—
1515	C₂×C₄	—	2	8	no	—
1516	C₂×C₄	—	2	8	no	—
1517	C₂×C₄	—	4	8	no	—
1518	C₂×C₄	—	5	4	no	—
1519	C₂×C₄	—	5	2	no	—
1520	C₂×C₄	—	5	16	no	—
1521	C₂×C₄	—	5	2	no	—
1522	C₂×C₄	—	5	2	no	—
1523	C₂×C₄	—	5	4	no	—
1524	C₂×C₄	—	5	2	no	—
1525	C₂×C₄	—	5	4	no	—
1526	C₂×C₄	—	5	2	no	—
1527	C₂×C₄	—	10	8	no	—
1528	C₂×C₄	—	10	8	no	—
1529	C₂×C₄	—	10	8	no	—
1530	C₂×C₄	—	10	8	no	—
1531	C₂×C₄	—	10	16	no	—
1532	C₂×C₄	—	10	16	no	—
1533	C₂×C₄	—	10	16	no	—
1534	C₂×C₄	—	10	8	no	—
1535	C₂×C₄	—	10	16	no	—
1536	C₂×C₄	—	10	8	no	—
1537	C₂×C₄	—	10	8	no	—
1538	C₂×C₄	—	10	8	no	—
1539	C₂×C₄	—	10	2	no	—
1540	C₂×C₄	—	10	2	no	—
1541	C₂×C₄	—	10	4	no	—
1542	C₂×C₄	—	10	16	no	—
1543	C₂×C₄	—	10	2	no	—
1544	C₂×C₄	—	10	2	no	—
1545	C₂×C₄	—	10	4	no	—
1546	C₂×C₄	—	10	8	no	—
1547	C₂×C₄	—	10	8	no	—
1548	C₂×C₄	—	20	8	no	—
1549	C₂×C₄	—	20	8	no	—
1550	C₂×C₄	—	20	8	no	—
1551	C₂×C₄	C₂×D₄×D₅	1	4	yes	—
1552	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1553	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1554	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1555	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1556	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1557	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1558	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1559	C₅	C₂²×#546	1	1	yes	characteristic, complemented, Sylow
1560	C₂²	—	2	2	no	—
1561	C₂²	—	2	4	no	—
1562	C₂²	—	2	4	no	—
1563	C₂²	—	2	2	no	—
1564	C₂²	—	2	8	no	—
1565	C₂²	—	2	16	no	—
1566	C₂²	—	2	2	no	—
1567	C₂²	—	2	4	no	—
1568	C₂²	—	2	2	no	—
1569	C₂²	—	2	4	no	—
1570	C₂²	—	2	2	no	—
1571	C₂²	—	2	4	no	—
1572	C₂²	—	4	32	no	—
1573	C₂²	—	4	8	no	—
1574	C₂²	—	4	4	no	—
1575	C₂²	—	5	4	no	—
1576	C₂²	—	5	4	no	—
1577	C₂²	—	5	4	no	—
1578	C₂²	—	5	16	no	—
1579	C₂²	—	5	8	no	—
1580	C₂²	—	5	4	no	—
1581	C₂²	—	10	32	no	—
1582	C₂²	—	10	64	no	—
1583	C₂²	—	10	2	no	—
1584	C₂²	—	10	4	no	—
1585	C₂²	—	10	4	no	—
1586	C₂²	—	10	2	no	—
1587	C₂²	—	10	8	no	—
1588	C₂²	—	10	16	no	—
1589	C₂²	—	10	2	no	—
1590	C₂²	—	10	4	no	—
1591	C₂²	—	10	2	no	—
1592	C₂²	—	10	4	no	—
1593	C₂²	—	10	2	no	—
1594	C₂²	—	10	4	no	—
1595	C₂²	—	20	32	no	—
1596	C₂²	—	20	32	no	—
1597	C₂²	—	20	32	no	—
1598	C₂²	—	20	16	no	—
1599	C₂²	—	20	32	no	—
1600	C₂²	—	20	8	no	—
1601	C₂²	—	20	4	no	—
1602	C₂²	C₂²×D₄×D₅	1	8	yes	—
1603	C₂²	C₂²×D₄×D₅	1	2	yes	—
1604	C₂²	C₂×D₅×#41	1	2	yes	—
1605	C₂²	C₂×D₅×#41	1	4	yes	complemented
1606	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1607	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1608	C₄	—	2	2	no	—
1609	C₄	—	2	2	no	—
1610	C₄	—	2	4	no	—
1611	C₄	—	2	2	no	—
1612	C₄	—	2	2	no	—
1613	C₄	—	2	4	no	—
1614	C₄	—	5	4	no	—
1615	C₄	—	10	2	no	—
1616	C₄	—	10	2	no	—
1617	C₄	—	10	4	no	—
1618	C₄	—	10	2	no	—
1619	C₄	—	10	2	no	—
1620	C₄	—	10	4	no	—
1621	C₄	C₂²×D₄×D₅	1	4	yes	—
1622	C₂	—	2	4	no	—
1623	C₂	—	2	8	no	—
1624	C₂	—	4	4	no	—
1625	C₂	—	4	2	no	—
1626	C₂	—	5	8	no	—
1627	C₂	—	10	4	no	—
1628	C₂	—	10	8	no	—
1629	C₂	—	20	4	no	—
1630	C₂	—	20	2	no	—
1631	C₂	D₅×#546	1	4	yes	direct product factor
1632	C₂	C₂³×D₄×D₅	1	1	yes	characteristic
1633	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1634	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#546	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#546	D₅
hypocenter	C₅	C₂²×#546
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. C₂²×D₅×#41	C₂	semidirect
2. C₂³×D₄×D₅	C₂	semidirect
3. C₂×C₅×#546	C₂	semidirect
4. C₂×#66163	C₂	semidirect
5. C₂×#66140	C₂	semidirect
6. D₅×#546	C₂	direct (N × H)
7. C₂×#66010	C₂	semidirect
8. C₂×D₅×#124	C₂	semidirect
9. C₂×#65988	C₂	semidirect
10. C₂×D₅×#123	C₂	semidirect
11. C₂×#65964	C₂	semidirect
12. C₂×D₅×C₂²⋊Q₈	C₂	semidirect
13. C₂×#65946	C₂	semidirect
14. C₂×#65944	C₂	semidirect
15. C₂×D₅×#121	C₂	semidirect
16. C₂×D₅×#121	C₂	semidirect
17. C₂×#65925	C₂	semidirect
18. C₂×D₅×#120	C₂	semidirect
19. C₂×#65884	C₂	semidirect
20. C₂×#65888	C₂	semidirect
21. C₂×C₄×D₄×D₅	C₂	semidirect
22. C₂×C₄×D₄×D₅	C₂	semidirect
23. C₂×#65824	C₂	semidirect
24. C₂²×D₅×C₂²⋊C₄	C₂	semidirect
26. C₂²×C₅×#41	C₂²	semidirect
27. C₂³×C₅×D₄	C₂²	semidirect
28. C₂³×C₂²⋊D₅	C₂²	semidirect
30. C₂×D₅×#41	C₂²	semidirect
31. C₂²×#713	C₂²	semidirect
32. C₂²×Q₈×D₅	C₂²	semidirect
33. C₂²×#711	C₂²	semidirect
34. C₂²×#711	C₂²	semidirect
40. C₂²×D₄×D₅	C₂²	semidirect
41. C₂²×D₄×D₅	C₂²	semidirect
42. C₂²×D₄×D₅	C₂²	semidirect
43. C₂²×D₄×D₅	C₂²	semidirect
44. C₂²×D₄×D₅	C₂²	semidirect
45. C₂²×D₄×D₅	C₂²	semidirect
46. C₂²×#709	C₂²	semidirect
47. C₂²×#709	C₂²	semidirect
48. C₂³×D₂₀	C₂²	semidirect
50. C₂³×C₄×D₅	C₂²	semidirect
51. C₂³×C₄×D₅	C₂²	semidirect
52. C₂³×C₄×D₅	C₂²	semidirect
53. C₅×#546	C₂²	semidirect
54. C₂×C₅×#124	C₂²	semidirect
55. C₂×C₅×#123	C₂²	semidirect
56. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
57. C₂×C₅×#121	C₂²	semidirect
58. C₂×C₅×#121	C₂²	semidirect
59. C₂×C₅×#120	C₂²	semidirect
60. C₂×C₄×C₅×D₄	C₂²	semidirect
61. C₂×C₄×C₅×D₄	C₂²	semidirect
62. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
63. C₂×#4099	C₂²	semidirect
64. C₂²×C₂²⋊Dic₅	C₂²	semidirect
65. #66163	C₂²	semidirect
66. C₂×#4093	C₂²	semidirect
67. C₂×#4092	C₂²	semidirect
68. #66140	C₂²	semidirect
69. C₂×#4085	C₂²	semidirect
70. C₂×#4085	C₂²	semidirect
71. C₂×#4085	C₂²	semidirect
72. C₂×#4084	C₂²	semidirect
73. C₂×#4084	C₂²	semidirect
74. C₂×#4083	C₂²	semidirect
75. C₂×#4083	C₂²	semidirect
76. C₂×#4083	C₂²	semidirect
77. C₂×#4082	C₂²	semidirect
78. C₂×#4081	C₂²	semidirect
79. C₂×D₄×Dic₅	C₂²	semidirect
80. C₂×D₄×Dic₅	C₂²	semidirect
81. C₂×#4076	C₂²	semidirect
82. C₂×#4076	C₂²	semidirect
83. C₂×#4075	C₂²	semidirect
84. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
85. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
86. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
87. C₂²×#685	C₂²	semidirect
88. C₂²×#685	C₂²	semidirect
89. C₂×#4070	C₂²	semidirect
90. #66010	C₂²	semidirect
91. D₅×#124	C₂²	semidirect
92. #65988	C₂²	semidirect
93. D₅×#123	C₂²	semidirect
94. #65964	C₂²	semidirect
95. D₅×C₂²⋊Q₈	C₂²	semidirect
96. #65946	C₂²	semidirect
97. #65944	C₂²	semidirect
98. D₅×#121	C₂²	semidirect
99. D₅×#121	C₂²	semidirect
100. #65925	C₂²	semidirect
101. D₅×#120	C₂²	semidirect
102. #65888	C₂²	semidirect
103. #65884	C₂²	semidirect
104. C₄×D₄×D₅	C₂²	semidirect
105. C₄×D₄×D₅	C₂²	semidirect
106. C₂×#4043	C₂²	semidirect
107. C₂×#4042	C₂²	semidirect
108. C₂×#4041	C₂²	semidirect
109. C₂×#4041	C₂²	semidirect
110. C₂×#4040	C₂²	semidirect
111. C₂×#4040	C₂²	semidirect
112. C₂×#4039	C₂²	semidirect
113. C₂×#4039	C₂²	semidirect
114. C₂×D₅×C₄⋊C₄	C₂²	semidirect
115. C₂×D₅×C₄⋊C₄	C₂²	semidirect
116. C₂×D₅×C₄⋊C₄	C₂²	semidirect
117. C₂×#4032	C₂²	semidirect
118. C₂×#4031	C₂²	semidirect
119. C₂×#4031	C₂²	semidirect
120. #65824	C₂²	semidirect
121. C₂×#4030	C₂²	semidirect
122. C₂×#4030	C₂²	semidirect
123. C₂×#4030	C₂²	semidirect
124. C₂×#4029	C₂²	semidirect
125. C₂×#4029	C₂²	semidirect
126. C₂×#4028	C₂²	semidirect
127. C₂×#4028	C₂²	semidirect
128. C₂×#4028	C₂²	semidirect
129. C₂×#4027	C₂²	semidirect
130. C₂×#4027	C₂²	semidirect
131. C₂×#4027	C₂²	semidirect
134. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
135. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
136. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
137. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
138. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
139. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
140. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
141. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
142. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
143. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
144. C₂×#4024	C₂²	semidirect
145. C₂×#4021	C₂²	semidirect
146. C₂×C₄×D₂₀	C₂²	semidirect
147. C₂×C₄×D₂₀	C₂²	semidirect
148. C₂×C₄²×D₅	C₂²	semidirect
163. C₂×C₅×#41	C₂³	semidirect
164. C₂²×C₅×Q₈	C₂³	semidirect
170. C₂²×C₅×D₄	C₂³	semidirect
171. C₂²×C₅×D₄	C₂³	semidirect
172. C₂²×C₅×D₄	C₂³	semidirect
174. C₂³×C₄×C₅	C₂³	semidirect
175. C₂³×C₄×C₅	C₂³	semidirect
176. C₂³×C₄×C₅	C₂³	semidirect
184. C₂²×C₂²⋊D₅	C₂³	semidirect
185. C₂²×C₂²⋊D₅	C₂³	semidirect
186. C₂²×C₂²⋊D₅	C₂³	semidirect
187. C₂²×C₂²⋊D₅	C₂³	semidirect
188. C₂²×C₂²⋊D₅	C₂³	semidirect
190. C₂³×Dic₅	C₂³	semidirect
191. C₂³×Dic₅	C₂³	semidirect
192. C₂³×Dic₅	C₂³	semidirect
195. C₂×#713	C₂³	semidirect
197. C₂×Q₈×D₅	C₂³	semidirect
200. C₂×#711	C₂³	semidirect
201. C₂×#711	C₂³	semidirect
211. C₂×D₄×D₅	D₄	semidirect
216. C₂×D₄×D₅	C₂³	semidirect
217. C₂×D₄×D₅	C₂³	semidirect
218. C₂×D₄×D₅	C₂³	semidirect
219. C₂×D₄×D₅	C₂³	semidirect
220. C₂×D₄×D₅	C₂³	semidirect
223. C₂×#709	C₂³	semidirect
224. C₂×#709	C₂³	semidirect
230. C₂²×D₂₀	C₂³	semidirect
231. C₂²×D₂₀	C₂³	semidirect
232. C₂²×D₂₀	C₂³	semidirect
247. C₂²×C₄×D₅	C₂³	semidirect
248. C₂²×C₄×D₅	C₂³	semidirect
249. C₂²×C₄×D₅	C₂³	semidirect
250. C₂²×C₄×D₅	C₂³	semidirect
251. C₂²×C₄×D₅	C₂³	semidirect
252. C₂²×C₄×D₅	C₂³	semidirect
253. C₂²×C₄×D₅	C₂³	semidirect
254. C₂²×C₄×D₅	C₂³	semidirect
255. C₂²×C₄×D₅	C₂³	semidirect
256. C₂²×Dic₁₀	C₂³	semidirect
257. C₂²×Dic₁₀	C₂³	semidirect
258. C₅×#124	C₂³	semidirect
259. C₅×#123	C₂³	semidirect
260. C₅×C₂²⋊Q₈	C₂³	semidirect
261. C₅×#121	C₂³	semidirect
262. C₅×#121	C₂³	semidirect
263. C₅×#120	C₂³	semidirect
264. C₄×C₅×D₄	C₂³	semidirect
265. C₄×C₅×D₄	C₂³	semidirect
266. C₂×C₅×C₄⋊C₄	C₂³	semidirect
267. C₂×C₅×C₄⋊C₄	C₂³	semidirect
268. C₂×C₅×C₄⋊C₄	C₂³	semidirect
271. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
272. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
273. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
274. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
275. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
276. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
277. C₂×C₄²×C₅	C₂³	semidirect
278. #4099	C₂³	semidirect
281. C₂×C₂²⋊Dic₅	C₂³	semidirect
282. C₂×C₂²⋊Dic₅	C₂³	semidirect
283. C₂×C₂²⋊Dic₅	C₂³	semidirect
284. C₂×C₂²⋊Dic₅	C₂³	semidirect
285. C₂×C₂²⋊Dic₅	C₂³	semidirect
286. C₂×C₂²⋊Dic₅	C₂³	semidirect
287. #4093	C₂³	semidirect
288. #4092	C₂³	semidirect
289. #4085	C₂³	semidirect
290. #4085	C₂³	semidirect
291. #4085	C₂³	semidirect
292. #4084	C₂³	semidirect
293. #4084	C₂³	semidirect
294. #4083	C₂³	semidirect
295. #4083	C₂³	semidirect
296. #4083	C₂³	semidirect
297. #4082	C₂³	semidirect
298. #4081	C₂³	semidirect
299. D₄×Dic₅	C₂³	semidirect
300. D₄×Dic₅	C₂³	semidirect
301. #4076	C₂³	semidirect
302. #4076	C₂³	semidirect
303. #4075	C₂³	semidirect
304. C₄×C₂²⋊D₅	C₂³	semidirect
305. C₄×C₂²⋊D₅	C₂³	semidirect
306. C₄×C₂²⋊D₅	C₂³	semidirect
311. C₂×#685	C₂³	semidirect
312. C₂×#685	C₂³	semidirect
313. C₂×#685	C₂³	semidirect
314. C₂×#685	C₂³	semidirect
315. C₂×#685	C₂³	semidirect
316. C₂×#685	C₂³	semidirect
317. C₂×#685	C₂³	semidirect
318. C₂×#685	C₂³	semidirect
319. C₂×#685	C₂³	semidirect
320. C₂×#685	C₂³	semidirect
321. C₂×#685	C₂³	semidirect
322. C₂×#685	C₂³	semidirect
323. C₂×C₄⋊Dic₅	C₂³	semidirect
324. C₂×C₄⋊Dic₅	C₂³	semidirect
325. C₂×C₄⋊Dic₅	C₂³	semidirect
326. #4070	C₂³	semidirect
327. C₂×#683	C₂³	semidirect
328. C₂×#683	C₂³	semidirect
329. C₂×#683	C₂³	semidirect
330. C₂×#683	C₂³	semidirect
331. C₂×#683	C₂³	semidirect
332. C₂×C₄×Dic₅	C₂³	semidirect
333. C₂×C₄×Dic₅	C₂³	semidirect
334. C₂×C₄×Dic₅	C₂³	semidirect
335. #4043	C₂³	semidirect
336. #4042	C₂³	semidirect
337. #4041	C₂³	semidirect
338. #4041	C₂³	semidirect
339. #4040	C₂³	semidirect
340. #4040	C₂³	semidirect
341. #4039	C₂³	semidirect
342. #4039	C₂³	semidirect
343. D₅×C₄⋊C₄	C₂³	semidirect
344. D₅×C₄⋊C₄	C₂³	semidirect
345. D₅×C₄⋊C₄	C₂³	semidirect
346. #4032	C₂³	semidirect
347. #4031	C₂³	semidirect
348. #4031	C₂³	semidirect
349. #4030	C₂³	semidirect
350. #4030	C₂³	semidirect
351. #4030	C₂³	semidirect
352. #4029	C₂³	semidirect
353. #4029	C₂³	semidirect
354. #4028	C₂³	semidirect
355. #4028	C₂³	semidirect
356. #4028	C₂³	semidirect
357. #4027	C₂³	semidirect
358. #4027	C₂³	semidirect
359. #4027	C₂³	semidirect
362. D₅×C₂²⋊C₄	C₂³	semidirect
363. D₅×C₂²⋊C₄	C₂³	semidirect
364. D₅×C₂²⋊C₄	C₂³	semidirect
365. D₅×C₂²⋊C₄	C₂³	semidirect
366. D₅×C₂²⋊C₄	C₂³	semidirect
367. D₅×C₂²⋊C₄	C₂³	semidirect
368. D₅×C₂²⋊C₄	C₂³	semidirect
369. D₅×C₂²⋊C₄	C₂³	semidirect
370. D₅×C₂²⋊C₄	C₂³	semidirect
371. #4024	C₂³	semidirect
372. #4021	C₂³	semidirect
373. C₄×D₂₀	C₂³	semidirect
374. C₄×D₂₀	C₂³	semidirect
375. C₄²×D₅	C₂³	semidirect
390. C₂×#546	D₅	direct (N × H)
432. C₂³×D₅	#41	semidirect
447. C₂×C₅×Q₈	C₂⁴	semidirect
454. C₂×C₅×D₄	C₂×D₄	semidirect
459. C₂×C₅×D₄	C₂⁴	semidirect
460. C₂×C₅×D₄	C₂⁴	semidirect
473. C₂²×C₄×C₅	C₂⁴	semidirect
474. C₂²×C₄×C₅	C₂⁴	semidirect
475. C₂²×C₄×C₅	C₂⁴	semidirect
486. C₂×C₂²⋊D₅	C₂×D₄	semidirect
493. C₂×C₂²⋊D₅	C₂⁴	semidirect
494. C₂×C₂²⋊D₅	C₂⁴	semidirect
495. C₂×C₂²⋊D₅	C₂⁴	semidirect
496. C₂×C₂²⋊D₅	C₂⁴	semidirect
509. C₂²×Dic₅	C₂⁴	semidirect
510. C₂²×Dic₅	C₂⁴	semidirect
511. C₂²×Dic₅	C₂⁴	semidirect
524. D₄×D₅	C₂×D₄	semidirect
533. C₂×D₂₀	C₂×D₄	semidirect
538. C₂×D₂₀	C₂⁴	semidirect
539. C₂×D₂₀	C₂⁴	semidirect
568. C₂×C₄×D₅	C₂⁴	semidirect
569. C₂×C₄×D₅	C₂⁴	semidirect
570. C₂×C₄×D₅	C₂⁴	semidirect
571. C₂×C₄×D₅	C₂⁴	semidirect
572. C₂×C₄×D₅	C₂⁴	semidirect
573. C₂×C₄×D₅	C₂⁴	semidirect
576. C₂×Dic₁₀	C₂⁴	semidirect
577. C₂×Dic₁₀	C₂⁴	semidirect
578. C₅×C₄⋊C₄	C₂⁴	semidirect
579. C₅×C₄⋊C₄	C₂⁴	semidirect
580. C₅×C₄⋊C₄	C₂⁴	semidirect
583. C₅×C₂²⋊C₄	C₂⁴	semidirect
584. C₅×C₂²⋊C₄	C₂⁴	semidirect
585. C₅×C₂²⋊C₄	C₂⁴	semidirect
586. C₅×C₂²⋊C₄	C₂⁴	semidirect
587. C₅×C₂²⋊C₄	C₂⁴	semidirect
588. C₄²×C₅	C₂⁴	semidirect
591. C₂²⋊Dic₅	C₂⁴	semidirect
592. C₂²⋊Dic₅	C₂⁴	semidirect
593. C₂²⋊Dic₅	C₂⁴	semidirect
594. C₂²⋊Dic₅	C₂⁴	semidirect
595. C₂²⋊Dic₅	C₂⁴	semidirect
600. #685	C₂⁴	semidirect
601. #685	C₂⁴	semidirect
602. #685	C₂⁴	semidirect
603. #685	C₂⁴	semidirect
604. #685	C₂⁴	semidirect
605. #685	C₂⁴	semidirect
606. #685	C₂⁴	semidirect
607. #685	C₂⁴	semidirect
608. #685	C₂⁴	semidirect
609. #685	C₂⁴	semidirect
610. C₄⋊Dic₅	C₂⁴	semidirect
611. C₄⋊Dic₅	C₂⁴	semidirect
612. C₄⋊Dic₅	C₂⁴	semidirect
613. #683	C₂⁴	semidirect
614. #683	C₂⁴	semidirect
615. #683	C₂⁴	semidirect
616. #683	C₂⁴	semidirect
617. #683	C₂⁴	semidirect
618. C₄×Dic₅	C₂⁴	semidirect
619. C₄×Dic₅	C₂⁴	semidirect
620. C₄×Dic₅	C₂⁴	semidirect
629. C₂²×#41	C₂×D₅	semidirect
644. C₂³×D₄	C₂×D₅	semidirect
660. #546	C₂×D₅	direct (N × H)
667. C₂×#124	C₂×D₅	semidirect
676. C₂×#123	C₂×D₅	semidirect
683. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
698. C₂×#121	C₂×D₅	semidirect
699. C₂×#121	C₂×D₅	semidirect
708. C₂×#120	C₂×D₅	semidirect
723. C₂×C₄×D₄	C₂×D₅	semidirect
724. C₂×C₄×D₄	C₂×D₅	semidirect
743. C₂²×C₂²⋊C₄	C₂×D₅	semidirect
760. C₂³×C₅	C₂×#41	semidirect
807. C₂²×D₅	C₂×#41	semidirect
808. C₂²×D₅	C₂×#41	semidirect
821. C₅×D₄	C₂²×D₄	semidirect
849. C₂²⋊D₅	C₂²×D₄	semidirect
873. D₂₀	C₂²×D₄	semidirect
915. C₂×#41	C₂²×D₅	semidirect
920. C₂²×Q₈	C₂²×D₅	semidirect
965. C₂²×D₄	C₂²×D₅	semidirect
966. C₂²×D₄	C₂²×D₅	semidirect
967. C₂²×D₄	C₂²×D₅	semidirect
996. C₂³×C₄	C₂²×D₅	semidirect
997. C₂³×C₄	C₂²×D₅	semidirect
998. C₂³×C₄	C₂²×D₅	semidirect
1004. #124	C₂²×D₅	semidirect
1012. #123	C₂²×D₅	semidirect
1018. C₂²⋊Q₈	C₂²×D₅	semidirect
1031. #121	C₂²×D₅	semidirect
1032. #121	C₂²×D₅	semidirect
1040. #120	C₂²×D₅	semidirect
1053. C₄×D₄	C₂²×D₅	semidirect
1054. C₄×D₄	C₂²×D₅	semidirect
1066. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1067. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1068. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1106. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1107. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1108. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1109. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1110. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1111. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1116. C₂×C₄²	C₂²×D₅	semidirect
1135. C₂²×C₅	C₂²×#41	semidirect
1159. C₂×D₅	#546	direct (N × H)
1163. C₂×D₅	C₂²×#41	semidirect
1236. C₂×Q₈	C₂³×D₅	semidirect
1286. C₂×D₄	D₄×D₅	semidirect
1291. C₂×D₄	C₂³×D₅	semidirect
1292. C₂×D₄	C₂³×D₅	semidirect
1354. C₂²×C₄	C₂³×D₅	semidirect
1355. C₂²×C₄	C₂³×D₅	semidirect
1356. C₂²×C₄	C₂³×D₅	semidirect
1365. C₄⋊C₄	C₂³×D₅	semidirect
1366. C₄⋊C₄	C₂³×D₅	semidirect
1367. C₄⋊C₄	C₂³×D₅	semidirect
1391. C₂²⋊C₄	C₂³×D₅	semidirect
1392. C₂²⋊C₄	C₂³×D₅	semidirect
1393. C₂²⋊C₄	C₂³×D₅	semidirect
1394. C₂²⋊C₄	C₂³×D₅	semidirect
1395. C₂²⋊C₄	C₂³×D₅	semidirect
1399. C₄²	C₂³×D₅	semidirect
1404. C₂×C₅	C₂×#546	semidirect
1412. D₅	C₂×#546	direct (N × H)
1477. C₂³	D₅×#41	semidirect
1507. D₄	C₂×D₄×D₅	semidirect
1559. C₅	C₂²×#546	semidirect
1605. C₂²	C₂×D₅×#41	semidirect
1631. C₂	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
C₂²×D₅×#41	2
C₂³×D₄×D₅	2
C₂×C₅×#546	2
C₂×#66163	2
C₂×#66140	2
D₅×#546	2
C₂×#66010	2
C₂×D₅×#124	2
C₂×#65988	2
C₂×D₅×#123	2
C₂×#65964	2
C₂×D₅×C₂²⋊Q₈	2
C₂×#65946	2
C₂×#65944	2
C₂×D₅×#121	2
C₂×#65925	2
C₂×D₅×#120	2
C₂×#65884	2
C₂×#65888	2
C₂×C₄×D₄×D₅	2
C₂×#65824	2
C₂²×D₅×C₂²⋊C₄	2
C₂²×#546	5

Subgroups — C2×D5×#546 #13006218

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₅×#546 #13006218