Subgroups — C₂×#10618521 #13007176

Order 1280.

14438 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#4144	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×D₄×C₂²⋊D₅	C₂	1	2	yes	maximal, complemented
6	C₂²×#4083	C₂	1	2	yes	maximal, complemented
7	C₂×#66140	C₂	1	1	yes	maximal, characteristic, complemented
8	#10618521	C₂	1	32	yes	maximal, direct product factor
9	C₂×#66051	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66049	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#65946	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65944	C₂	1	2	yes	maximal, complemented
13	C₂×#65943	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65941	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65939	C₂	1	2	yes	maximal, complemented
16	C₂×#65940	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65925	C₂	1	2	yes	maximal, complemented
18	C₂×#65924	C₂	1	2	yes	maximal, complemented
19	C₂×#65923	C₂	1	2	yes	maximal, complemented
20	C₂×D₅×#120	C₂	1	2	yes	maximal, complemented
21	C₂×#65884	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65888	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65881	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65879	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂⁵×D₅	C₂²	1	2	yes	complemented
26	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
27	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₅×D₄	C₂²	1	2	yes	complemented
29	C₂³×C₂²⋊D₅	C₂²	1	2	yes	complemented
30	C₂³×C₂²⋊D₅	C₂²	1	2	yes	complemented
31	C₂³×C₂²⋊D₅	C₂²	1	2	yes	complemented
32	C₂³×C₂²⋊D₅	C₂²	1	2	yes	complemented
33	C₂×#4144	—	2	16	no	—
34	C₂×#4144	C₂²	1	16	yes	complemented
35	C₂²×#711	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#711	C₂²	1	2	yes	complemented
37	C₂²×#711	C₂²	1	1	yes	characteristic, complemented
38	C₂²×D₄×D₅	—	2	16	no	—
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	2	yes	complemented
43	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
44	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
46	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
48	C₂²×D₄×D₅	C₂²	1	16	yes	complemented
49	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
50	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
51	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
52	C₂³×D₂₀	C₂²	1	1	yes	characteristic, complemented
53	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
54	C₅×D₄²	C₂²	1	16	yes	complemented
55	C₂×C₅×#127	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₅×#121	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×C₅×#120	C₂²	1	2	yes	complemented
61	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4099	C₂²	1	2	yes	complemented
64	C₂×#4099	C₂²	1	2	yes	complemented
65	C₂²×C₂²⋊Dic₅	C₂²	1	2	yes	complemented
66	#66140	C₂²	1	16	yes	complemented
67	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
68	C₂×#4086	C₂²	1	2	yes	complemented
69	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
70	C₂×#4085	C₂²	1	2	yes	complemented
71	C₂×#4085	C₂²	1	2	yes	complemented
72	C₂×#4085	C₂²	1	2	yes	complemented
73	C₂×#4085	C₂²	1	2	yes	complemented
74	D₄×C₂²⋊D₅	C₂²	1	32	yes	complemented
75	D₄×C₂²⋊D₅	C₂²	1	16	yes	complemented
76	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
77	C₂×#4084	C₂²	1	2	yes	complemented
78	C₂×#4084	C₂²	1	2	yes	complemented
79	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
80	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4083	C₂²	1	2	yes	complemented
82	C₂×#4083	C₂²	1	2	yes	complemented
83	C₂×#4083	C₂²	1	2	yes	complemented
84	C₂×#4083	C₂²	1	2	yes	complemented
85	C₂×#4083	C₂²	1	2	yes	complemented
86	C₂×#4083	C₂²	1	2	yes	complemented
87	C₂×#4083	C₂²	1	2	yes	complemented
88	C₂×#4083	C₂²	1	2	yes	complemented
89	C₂×#4083	C₂²	1	2	yes	complemented
90	C₂×#4083	C₂²	1	2	yes	complemented
91	C₂×#4083	C₂²	1	32	yes	complemented
92	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
93	C₂×#4081	C₂²	1	2	yes	complemented
94	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
95	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
96	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
97	C₂×#4076	C₂²	1	2	yes	complemented
98	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
100	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
101	C₂²×#685	C₂²	1	2	yes	complemented
102	C₂²×#685	C₂²	1	2	yes	complemented
103	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
104	#66051	C₂²	1	16	yes	complemented
105	#66049	C₂²	1	16	yes	complemented
106	#65946	C₂²	1	16	yes	complemented
107	#65944	C₂²	1	32	yes	complemented
108	#65943	C₂²	1	16	yes	complemented
109	#65941	C₂²	1	16	yes	complemented
110	#65940	C₂²	1	16	yes	complemented
111	#65939	C₂²	1	32	yes	complemented
112	#65925	C₂²	1	32	yes	complemented
113	#65924	C₂²	1	32	yes	complemented
114	#65923	C₂²	1	32	yes	complemented
115	D₅×#120	C₂²	1	32	yes	complemented
116	#65888	C₂²	1	16	yes	complemented
117	#65884	C₂²	1	16	yes	complemented
118	#65881	C₂²	1	16	yes	complemented
119	#65879	C₂²	1	16	yes	complemented
120	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
121	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
122	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
123	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
124	C₂×#4040	C₂²	1	2	yes	complemented
125	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
126	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
127	C₂×#4032	C₂²	1	2	yes	complemented
128	C₂×#4031	C₂²	1	2	yes	complemented
129	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
130	C₂×#4030	C₂²	1	2	yes	complemented
131	C₂×#4030	C₂²	1	2	yes	complemented
132	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
133	C₂×#4029	C₂²	1	2	yes	complemented
134	C₂×#4029	C₂²	1	2	yes	complemented
135	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
136	C₂×#4028	C₂²	1	2	yes	complemented
137	C₂×#4028	C₂²	1	2	yes	complemented
138	C₂×#4028	C₂²	1	2	yes	complemented
139	C₂×#4027	C₂²	1	2	yes	complemented
140	C₂×#4027	C₂²	1	2	yes	complemented
141	C₂×D₅×C₂²⋊C₄	C₂²	1	2	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	1	yes	characteristic, 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×#4018	C₂²	1	1	yes	characteristic, complemented
149	C₂×#3484	—	5	1	no	maximal, Sylow
150	C₂⁵×C₅	C₂³	1	2	yes	—
151	C₂⁵×C₅	C₂³	1	2	yes	complemented
152	C₂⁴×D₅	—	2	16	no	—
153	C₂⁴×D₅	—	4	8	no	—
154	C₂⁴×D₅	—	4	8	no	—
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	2	yes	—
159	C₂⁴×D₅	C₂³	1	2	yes	—
160	C₂⁴×D₅	C₂³	1	2	yes	—
161	C₂⁴×D₅	C₂³	1	16	yes	complemented
162	C₂⁴×D₅	C₂³	1	2	yes	complemented
163	C₂²×C₅×D₄	—	2	8	no	—
164	C₂²×C₅×D₄	—	2	8	no	—
165	C₂²×C₅×D₄	—	4	8	no	—
166	C₂²×C₅×D₄	C₂³	1	2	yes	—
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	1	yes	characteristic
171	C₂²×C₅×D₄	C₂³	1	8	yes	complemented
172	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
173	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
174	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
175	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
176	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
177	C₂²×C₅×D₄	C₂³	1	8	yes	complemented
178	C₂²×C₅×D₄	C₂³	1	16	yes	complemented
179	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
180	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic, complemented
181	C₂³×C₄×C₅	C₂³	1	2	yes	complemented
182	C₂²×C₂²⋊D₅	—	2	16	no	—
183	C₂²×C₂²⋊D₅	—	2	16	no	—
184	C₂²×C₂²⋊D₅	—	2	16	no	—
185	C₂²×C₂²⋊D₅	—	4	8	no	—
186	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
187	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
190	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
191	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
193	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
194	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
195	C₂²×C₂²⋊D₅	C₂³	1	16	yes	complemented
196	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
197	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
198	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
199	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic, complemented
200	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
201	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
202	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
203	C₂²×C₂²⋊D₅	C₂³	1	2	yes	complemented
204	C₂²×C₂²⋊D₅	C₂³	1	16	yes	complemented
205	C₂²×C₂²⋊D₅	C₂³	1	16	yes	complemented
206	C₂²×C₂²⋊D₅	C₂³	1	16	yes	complemented
207	C₂³×Dic₅	C₂³	1	1	yes	characteristic
208	C₂³×Dic₅	C₂³	1	2	yes	complemented
209	C₂³×Dic₅	C₂³	1	2	yes	complemented
210	C₂³×Dic₅	C₂³	1	2	yes	complemented
211	#4144	—	2	128	no	—
212	C₂×#711	—	2	8	no	—
213	C₂×#711	—	2	16	no	—
214	C₂×#711	—	2	8	no	—
215	C₂×#711	C₂³	1	8	yes	complemented
216	C₂×#711	C₂³	1	16	yes	complemented
217	C₂×#711	C₂³	1	8	yes	complemented
218	C₂×D₄×D₅	—	2	16	no	—
219	C₂×D₄×D₅	—	2	16	no	—
220	C₂×D₄×D₅	—	2	8	no	—
221	C₂×D₄×D₅	—	2	16	no	—
222	C₂×D₄×D₅	—	2	128	no	—
223	C₂×D₄×D₅	—	2	8	no	—
224	C₂×D₄×D₅	—	2	8	no	—
225	C₂×D₄×D₅	—	2	8	no	—
226	C₂×D₄×D₅	—	4	8	no	—
227	C₂×D₄×D₅	—	4	8	no	—
228	C₂×D₄×D₅	D₄	1	16	yes	complemented
229	C₂×D₄×D₅	C₂³	1	8	yes	—
230	C₂×D₄×D₅	C₂³	1	8	yes	complemented
231	C₂×D₄×D₅	C₂³	1	8	yes	complemented
232	C₂×D₄×D₅	C₂³	1	8	yes	complemented
233	C₂×D₄×D₅	C₂³	1	16	yes	complemented
234	C₂×D₄×D₅	C₂³	1	16	yes	complemented
235	C₂×D₄×D₅	C₂³	1	16	yes	complemented
236	C₂×D₄×D₅	C₂³	1	8	yes	complemented
237	C₂×D₄×D₅	C₂³	1	16	yes	complemented
238	C₂×D₄×D₅	C₂³	1	16	yes	complemented
239	C₂×#709	—	2	8	no	—
240	C₂×#709	—	2	8	no	—
241	C₂×#709	C₂³	1	8	yes	complemented
242	C₂×#709	C₂³	1	8	yes	complemented
243	C₂²×D₂₀	—	2	8	no	—
244	C₂²×D₂₀	C₂³	1	1	yes	characteristic
245	C₂²×D₂₀	C₂³	1	1	yes	characteristic
246	C₂²×D₂₀	C₂³	1	1	yes	characteristic
247	C₂²×D₂₀	C₂³	1	2	yes	—
248	C₂²×D₂₀	C₂³	1	1	yes	characteristic
249	C₂²×D₂₀	C₂³	1	8	yes	complemented
250	C₂²×D₂₀	C₂³	1	2	yes	complemented
251	C₂²×C₄×D₅	—	2	8	no	—
252	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
253	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
254	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
255	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
256	C₂²×C₄×D₅	C₂³	1	8	yes	complemented
257	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
258	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
259	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
260	C₂²×C₄×D₅	C₂³	1	2	yes	complemented
261	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
262	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
263	C₅×#127	C₂³	1	8	yes	complemented
264	C₅×#121	C₂³	1	8	yes	complemented
265	C₅×#121	C₂³	1	16	yes	complemented
266	C₅×#121	C₂³	1	8	yes	complemented
267	C₅×#120	C₂³	1	16	yes	complemented
268	C₅×#120	C₂³	1	16	yes	complemented
269	C₄×C₅×D₄	C₂³	1	8	yes	complemented
270	C₄×C₅×D₄	C₂³	1	8	yes	complemented
271	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
272	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
273	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
275	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
276	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	complemented
277	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
278	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
279	#4099	C₂³	1	16	yes	complemented
280	#4099	C₂³	1	16	yes	complemented
281	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₅	C₂³	1	16	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	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
288	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
289	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	complemented
290	#4086	C₂³	1	8	yes	complemented
291	#4086	C₂³	1	16	yes	complemented
292	#4085	C₂³	1	8	yes	complemented
293	#4085	C₂³	1	16	yes	complemented
294	#4085	C₂³	1	16	yes	complemented
295	#4085	C₂³	1	16	yes	complemented
296	#4085	C₂³	1	16	yes	complemented
297	#4084	C₂³	1	8	yes	complemented
298	#4084	C₂³	1	16	yes	complemented
299	#4084	C₂³	1	16	yes	complemented
300	#4084	C₂³	1	8	yes	complemented
301	#4083	C₂³	1	8	yes	complemented
302	#4083	C₂³	1	16	yes	complemented
303	#4083	C₂³	1	16	yes	complemented
304	#4083	C₂³	1	16	yes	complemented
305	#4083	C₂³	1	16	yes	complemented
306	#4083	C₂³	1	16	yes	complemented
307	#4083	C₂³	1	16	yes	complemented
308	#4083	C₂³	1	16	yes	complemented
309	#4083	C₂³	1	16	yes	complemented
310	#4083	C₂³	1	16	yes	complemented
311	#4083	C₂³	1	16	yes	complemented
312	#4082	C₂³	1	8	yes	complemented
313	#4081	C₂³	1	16	yes	complemented
314	D₄×Dic₅	C₂³	1	16	yes	complemented
315	D₄×Dic₅	C₂³	1	8	yes	complemented
316	#4076	C₂³	1	8	yes	complemented
317	#4076	C₂³	1	16	yes	complemented
318	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
319	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
320	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
321	C₂×#685	C₂³	1	1	yes	characteristic
322	C₂×#685	C₂³	1	1	yes	characteristic
323	C₂×#685	C₂³	1	1	yes	characteristic
324	C₂×#685	C₂³	1	1	yes	characteristic
325	C₂×#685	C₂³	1	2	yes	—
326	C₂×#685	C₂³	1	2	yes	—
327	C₂×#685	C₂³	1	16	yes	complemented
328	C₂×#685	C₂³	1	16	yes	complemented
329	C₂×#685	C₂³	1	2	yes	complemented
330	C₂×#685	C₂³	1	1	yes	characteristic, complemented
331	C₂×#685	C₂³	1	2	yes	complemented
332	C₂×#685	C₂³	1	2	yes	complemented
333	C₂×#685	C₂³	1	2	yes	complemented
334	C₂×#685	C₂³	1	2	yes	complemented
335	C₂×#685	C₂³	1	1	yes	characteristic, complemented
336	C₂×#685	C₂³	1	2	yes	complemented
337	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
338	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
339	C₂×C₄⋊Dic₅	C₂³	1	2	yes	complemented
340	#4070	C₂³	1	8	yes	complemented
341	C₂×#683	C₂³	1	1	yes	characteristic, complemented
342	C₂×#683	C₂³	1	1	yes	characteristic, complemented
343	C₂×#683	C₂³	1	1	yes	characteristic, complemented
344	C₂×#683	C₂³	1	2	yes	complemented
345	C₂×#683	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
347	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
348	#4043	C₂³	1	8	yes	complemented
349	#4042	C₂³	1	8	yes	complemented
350	#4041	C₂³	1	8	yes	complemented
351	#4040	C₂³	1	8	yes	complemented
352	#4040	C₂³	1	16	yes	complemented
353	#4039	C₂³	1	8	yes	complemented
354	#4038	C₂³	1	8	yes	complemented
355	#4032	C₂³	1	16	yes	complemented
356	#4031	C₂³	1	16	yes	complemented
357	#4030	C₂³	1	8	yes	complemented
358	#4030	C₂³	1	16	yes	complemented
359	#4030	C₂³	1	16	yes	complemented
360	#4029	C₂³	1	8	yes	complemented
361	#4029	C₂³	1	16	yes	complemented
362	#4029	C₂³	1	16	yes	complemented
363	#4028	C₂³	1	8	yes	complemented
364	#4028	C₂³	1	16	yes	complemented
365	#4028	C₂³	1	16	yes	complemented
366	#4028	C₂³	1	16	yes	complemented
367	#4027	C₂³	1	16	yes	complemented
368	#4027	C₂³	1	16	yes	complemented
369	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
370	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
371	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
372	#4024	C₂³	1	8	yes	complemented
373	#4021	C₂³	1	8	yes	complemented
374	C₄×D₂₀	C₂³	1	8	yes	complemented
375	C₄×D₂₀	C₂³	1	8	yes	complemented
376	#4018	C₂³	1	8	yes	complemented
377	C₂²×H(5,𝔽₂)	—	5	1	no	—
378	C₂⁴×D₄	—	5	1	no	—
379	#3484	—	5	32	no	—
380	C₂×#546	—	5	1	no	—
381	C₂×#546	—	5	2	no	—
382	C₂×#546	—	5	1	no	—
383	C₂×#546	—	5	2	no	—
384	C₂×#546	—	5	1	no	—
385	C₂×#546	—	5	1	no	—
386	C₂×D₄²	—	5	1	no	—
387	C₂×D₄²	—	5	2	no	—
388	C₂×D₄²	—	5	1	no	—
389	C₂×D₄²	—	5	1	no	—
390	C₂×D₄²	—	5	2	no	—
391	C₂×D₄²	D₅	1	1	yes	characteristic, complemented
392	C₂×#535	—	5	1	no	—
393	C₂×#535	—	5	1	no	—
394	C₂×#534	—	5	2	no	—
395	C₂×#534	—	5	2	no	—
396	C₂×#525	—	5	1	no	—
397	C₂×#525	—	5	1	no	—
398	C₂²×#120	—	5	2	no	—
399	C₂²×#120	—	5	2	no	—
400	C₂×#518	—	5	1	no	—
401	C₂⁴×C₅	—	2	8	no	—
402	C₂⁴×C₅	—	2	8	no	—
403	C₂⁴×C₅	—	2	8	no	—
404	C₂⁴×C₅	—	4	4	no	—
405	C₂⁴×C₅	—	4	4	no	—
406	C₂⁴×C₅	—	4	4	no	—
407	C₂⁴×C₅	C₂⁴	1	2	yes	—
408	C₂⁴×C₅	C₂⁴	1	2	yes	—
409	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
410	C₂⁴×C₅	C₂⁴	1	8	yes	—
411	C₂⁴×C₅	C₂⁴	1	2	yes	—
412	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
413	C₂⁴×C₅	C₂⁴	1	8	yes	complemented
414	C₂³×D₅	—	2	4	no	—
415	C₂³×D₅	—	2	4	no	—
416	C₂³×D₅	—	2	4	no	—
417	C₂³×D₅	—	2	8	no	—
418	C₂³×D₅	—	2	8	no	—
419	C₂³×D₅	—	2	8	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	8	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	4	no	—
431	C₂³×D₅	—	4	4	no	—
432	C₂³×D₅	—	4	4	no	—
433	C₂³×D₅	—	4	4	no	—
434	C₂³×D₅	—	4	32	no	—
435	C₂³×D₅	—	4	4	no	—
436	C₂³×D₅	—	4	4	no	—
437	C₂³×D₅	—	4	128	no	—
438	C₂³×D₅	C₂×D₄	1	16	yes	complemented
439	C₂³×D₅	C₂⁴	1	4	yes	—
440	C₂³×D₅	C₂⁴	1	1	yes	characteristic
441	C₂³×D₅	C₂⁴	1	2	yes	—
442	C₂³×D₅	C₂⁴	1	8	yes	—
443	C₂³×D₅	C₂⁴	1	8	yes	—
444	C₂³×D₅	C₂⁴	1	8	yes	—
445	C₂³×D₅	C₂⁴	1	1	yes	characteristic
446	C₂³×D₅	C₂⁴	1	2	yes	—
447	C₂³×D₅	C₂⁴	1	1	yes	characteristic
448	C₂³×D₅	C₂⁴	1	8	yes	—
449	C₂³×D₅	C₂⁴	1	8	yes	—
450	C₂³×D₅	C₂⁴	1	8	yes	complemented
451	C₂×C₅×D₄	—	2	8	no	—
452	C₂×C₅×D₄	—	2	8	no	—
453	C₂×C₅×D₄	—	2	8	no	—
454	C₂×C₅×D₄	—	2	4	no	—
455	C₂×C₅×D₄	—	2	32	no	—
456	C₂×C₅×D₄	—	2	32	no	—
457	C₂×C₅×D₄	—	2	4	no	—
458	C₂×C₅×D₄	—	2	4	no	—
459	C₂×C₅×D₄	—	4	4	no	—
460	C₂×C₅×D₄	—	4	4	no	—
461	C₂×C₅×D₄	—	4	4	no	—
462	C₂×C₅×D₄	—	4	32	no	—
463	C₂×C₅×D₄	C₂×D₄	1	8	yes	complemented
464	C₂×C₅×D₄	C₂⁴	1	4	yes	—
465	C₂×C₅×D₄	C₂⁴	1	8	yes	—
466	C₂×C₅×D₄	C₂⁴	1	8	yes	—
467	C₂×C₅×D₄	C₂⁴	1	4	yes	—
468	C₂×C₅×D₄	C₂⁴	1	4	yes	—
469	C₂×C₅×D₄	C₂⁴	1	8	yes	complemented
470	C₂×C₅×D₄	C₂⁴	1	4	yes	complemented
471	C₂×C₅×D₄	C₂⁴	1	8	yes	complemented
472	C₂×C₅×D₄	C₂⁴	1	8	yes	complemented
473	C₂×C₅×D₄	C₂⁴	1	8	yes	complemented
474	C₂²×C₄×C₅	—	2	4	no	—
475	C₂²×C₄×C₅	—	2	4	no	—
476	C₂²×C₄×C₅	—	4	4	no	—
477	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×C₅	C₂⁴	1	4	yes	complemented
485	C₂²×C₄×C₅	C₂⁴	1	8	yes	complemented
486	C₂×C₂²⋊D₅	—	2	8	no	—
487	C₂×C₂²⋊D₅	—	2	8	no	—
488	C₂×C₂²⋊D₅	—	2	4	no	—
489	C₂×C₂²⋊D₅	—	2	4	no	—
490	C₂×C₂²⋊D₅	—	2	8	no	—
491	C₂×C₂²⋊D₅	—	2	8	no	—
492	C₂×C₂²⋊D₅	—	2	8	no	—
493	C₂×C₂²⋊D₅	—	2	8	no	—
494	C₂×C₂²⋊D₅	—	2	64	no	—
495	C₂×C₂²⋊D₅	—	2	8	no	—
496	C₂×C₂²⋊D₅	—	2	4	no	—
497	C₂×C₂²⋊D₅	—	2	64	no	—
498	C₂×C₂²⋊D₅	—	2	64	no	—
499	C₂×C₂²⋊D₅	—	2	4	no	—
500	C₂×C₂²⋊D₅	—	2	8	no	—
501	C₂×C₂²⋊D₅	—	4	4	no	—
502	C₂×C₂²⋊D₅	—	4	4	no	—
503	C₂×C₂²⋊D₅	—	4	4	no	—
504	C₂×C₂²⋊D₅	—	4	4	no	—
505	C₂×C₂²⋊D₅	—	4	32	no	—
506	C₂×C₂²⋊D₅	C₂×D₄	1	16	yes	complemented
507	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
508	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
509	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
510	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
511	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
512	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
513	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
514	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
515	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
516	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
517	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
518	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
519	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
520	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
521	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
522	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
523	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	complemented
524	C₂²×Dic₅	—	2	8	no	—
525	C₂²×Dic₅	—	2	4	no	—
526	C₂²×Dic₅	—	2	8	no	—
527	C₂²×Dic₅	—	4	4	no	—
528	C₂²×Dic₅	C₂⁴	1	2	yes	—
529	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
530	C₂²×Dic₅	C₂⁴	1	2	yes	—
531	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
532	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
533	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
534	C₂²×Dic₅	C₂⁴	1	4	yes	—
535	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
536	C₂²×Dic₅	C₂⁴	1	8	yes	complemented
537	C₂²×Dic₅	C₂⁴	1	8	yes	complemented
538	C₂²×Dic₅	C₂⁴	1	8	yes	complemented
539	#711	—	2	32	no	—
540	#711	—	2	64	no	—
541	#711	—	2	32	no	—
542	D₄×D₅	—	2	64	no	—
543	D₄×D₅	—	2	64	no	—
544	D₄×D₅	—	2	32	no	—
545	D₄×D₅	—	2	64	no	—
546	D₄×D₅	—	2	32	no	—
547	D₄×D₅	—	2	32	no	—
548	D₄×D₅	—	2	32	no	—
549	D₄×D₅	—	4	32	no	—
550	D₄×D₅	—	4	32	no	—
551	D₄×D₅	C₂×D₄	1	64	yes	complemented
552	#709	—	2	32	no	—
553	#709	—	2	32	no	—
554	C₂×D₂₀	—	2	8	no	—
555	C₂×D₂₀	—	2	4	no	—
556	C₂×D₂₀	—	2	4	no	—
557	C₂×D₂₀	—	2	4	no	—
558	C₂×D₂₀	—	2	32	no	—
559	C₂×D₂₀	—	4	4	no	—
560	C₂×D₂₀	C₂×D₄	1	8	yes	complemented
561	C₂×D₂₀	C₂⁴	1	4	yes	—
562	C₂×D₂₀	C₂⁴	1	8	yes	—
563	C₂×D₂₀	C₂⁴	1	4	yes	—
564	C₂×D₂₀	C₂⁴	1	4	yes	—
565	C₂×D₂₀	C₂⁴	1	4	yes	—
566	C₂×D₂₀	C₂⁴	1	8	yes	complemented
567	C₂×C₄×D₅	—	2	4	no	—
568	C₂×C₄×D₅	—	2	8	no	—
569	C₂×C₄×D₅	—	2	4	no	—
570	C₂×C₄×D₅	—	2	4	no	—
571	C₂×C₄×D₅	—	2	4	no	—
572	C₂×C₄×D₅	—	2	32	no	—
573	C₂×C₄×D₅	—	4	4	no	—
574	C₂×C₄×D₅	—	4	4	no	—
575	C₂×C₄×D₅	C₂×D₄	1	8	yes	complemented
576	C₂×C₄×D₅	C₂⁴	1	4	yes	—
577	C₂×C₄×D₅	C₂⁴	1	4	yes	—
578	C₂×C₄×D₅	C₂⁴	1	4	yes	—
579	C₂×C₄×D₅	C₂⁴	1	4	yes	—
580	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
581	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
582	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
583	C₂×C₄×D₅	C₂⁴	1	8	yes	complemented
584	C₂×Dic₁₀	—	2	4	no	—
585	C₂×Dic₁₀	—	2	4	no	—
586	C₂×Dic₁₀	C₂⁴	1	4	yes	complemented
587	C₂×Dic₁₀	C₂⁴	1	4	yes	complemented
588	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
589	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
590	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
591	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
592	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
593	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
594	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
595	C₄²×C₅	C₂⁴	1	4	yes	complemented
596	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
597	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
598	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
599	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
600	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
601	C₂²⋊Dic₅	C₂⁴	1	4	yes	complemented
602	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
603	C₂²⋊Dic₅	C₂⁴	1	8	yes	complemented
604	#685	C₂⁴	1	4	yes	—
605	#685	C₂⁴	1	4	yes	—
606	#685	C₂⁴	1	4	yes	—
607	#685	C₂⁴	1	4	yes	—
608	#685	C₂⁴	1	8	yes	—
609	#685	C₂⁴	1	8	yes	—
610	#685	C₂⁴	1	8	yes	complemented
611	#685	C₂⁴	1	4	yes	complemented
612	#685	C₂⁴	1	8	yes	complemented
613	#685	C₂⁴	1	8	yes	complemented
614	#685	C₂⁴	1	8	yes	complemented
615	#685	C₂⁴	1	8	yes	complemented
616	#685	C₂⁴	1	4	yes	complemented
617	#685	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	8	yes	complemented
621	#683	C₂⁴	1	4	yes	complemented
622	#683	C₂⁴	1	4	yes	complemented
623	#683	C₂⁴	1	4	yes	complemented
624	#683	C₂⁴	1	8	yes	complemented
625	#683	C₂⁴	1	4	yes	complemented
626	C₄×Dic₅	C₂⁴	1	4	yes	complemented
627	C₄×Dic₅	C₂⁴	1	8	yes	complemented
628	C₂⁶	—	5	2	no	—
629	C₂×H(5,𝔽₂)	—	5	16	no	—
630	C₂×H(5,𝔽₂)	—	10	16	no	—
631	C₂²×#41	—	5	1	no	—
632	C₂²×#41	—	5	1	no	—
633	C₂²×#41	—	5	2	no	—
634	C₂²×#41	—	5	1	no	—
635	C₂²×#41	—	5	1	no	—
636	C₂³×D₄	—	5	1	no	—
637	C₂³×D₄	—	5	2	no	—
638	C₂³×D₄	—	5	2	no	—
639	C₂³×D₄	—	5	2	no	—
640	C₂³×D₄	—	5	2	no	—
641	C₂³×D₄	—	5	2	no	—
642	C₂³×D₄	—	5	1	no	—
643	C₂³×D₄	—	5	2	no	—
644	C₂³×D₄	—	5	1	no	—
645	C₂³×D₄	—	5	1	no	—
646	C₂³×D₄	—	5	16	no	—
647	C₂³×D₄	—	5	2	no	—
648	C₂³×D₄	—	5	1	no	—
649	C₂³×D₄	—	5	2	no	—
650	C₂³×D₄	—	5	2	no	—
651	C₂³×D₄	—	5	1	no	—
652	C₂³×D₄	—	10	16	no	—
653	C₂³×D₄	C₂×D₅	1	1	yes	characteristic, complemented
654	C₂³×D₄	C₂×D₅	1	1	yes	characteristic, complemented
655	C₂³×D₄	C₂×D₅	1	2	yes	complemented
656	C₂⁴×C₄	—	5	1	no	—
657	#546	—	5	16	no	—
658	#546	—	5	32	no	—
659	#546	—	5	16	no	—
660	#546	—	5	32	no	—
661	#546	—	5	16	no	—
662	#546	—	5	16	no	—
663	D₄²	—	5	16	no	—
664	D₄²	—	5	32	no	—
665	D₄²	—	5	16	no	—
666	D₄²	—	5	16	no	—
667	D₄²	—	5	32	no	—
668	D₄²	C₂×D₅	1	16	yes	complemented
669	#535	—	5	16	no	—
670	#535	—	5	16	no	—
671	#534	—	5	32	no	—
672	#534	—	5	32	no	—
673	C₂×#127	—	5	2	no	—
674	C₂×#127	—	5	1	no	—
675	C₂×#127	C₂×D₅	1	1	yes	characteristic, complemented
676	C₂×#124	—	5	1	no	—
677	C₂×#124	—	5	2	no	—
678	C₂×#124	—	5	1	no	—
679	#525	—	5	16	no	—
680	#525	—	5	16	no	—
681	C₂×#123	—	5	2	no	—
682	C₂×#123	—	5	1	no	—
683	C₂×#123	—	5	2	no	—
684	C₂×#123	—	5	2	no	—
685	C₂×#123	—	5	1	no	—
686	C₂×#123	—	5	2	no	—
687	C₂×#123	—	5	2	no	—
688	C₂×C₂²⋊Q₈	—	5	1	no	—
689	C₂×C₂²⋊Q₈	—	5	1	no	—
690	C₂×C₂²⋊Q₈	—	5	1	no	—
691	C₂×C₂²⋊Q₈	—	5	1	no	—
692	C₂×#121	—	5	1	no	—
693	C₂×#121	—	5	1	no	—
694	C₂×#121	—	5	2	no	—
695	C₂×#121	—	5	1	no	—
696	C₂×#121	—	5	2	no	—
697	C₂×#121	—	5	2	no	—
698	C₂×#121	—	5	2	no	—
699	C₂×#121	—	5	2	no	—
700	C₂×#121	—	5	2	no	—
701	C₂×#121	—	5	2	no	—
702	C₂×#121	—	5	1	no	—
703	C₂×#121	—	5	1	no	—
704	C₂×#121	—	5	1	no	—
705	C₂×#121	—	5	2	no	—
706	C₂×#121	—	5	2	no	—
707	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
708	C₂×#121	C₂×D₅	1	2	yes	complemented
709	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
710	C₂×#120	—	5	2	no	—
711	C₂×#120	—	5	2	no	—
712	C₂×#120	—	5	2	no	—
713	C₂×#120	—	5	1	no	—
714	C₂×#120	—	5	2	no	—
715	C₂×#120	—	5	2	no	—
716	C₂×#120	—	5	2	no	—
717	C₂×#120	—	5	2	no	—
718	C₂×#120	—	5	2	no	—
719	C₂×#120	—	5	2	no	—
720	C₂×#120	—	5	2	no	—
721	C₂×#120	—	5	2	no	—
722	C₂×#120	—	5	32	no	—
723	C₂×#120	—	5	2	no	—
724	C₂×#120	—	5	32	no	—
725	C₂×#120	—	5	1	no	—
726	C₂×#120	—	5	2	no	—
727	C₂×#120	—	5	2	no	—
728	C₂×#120	—	5	2	no	—
729	C₂×#120	C₂×D₅	1	2	yes	complemented
730	C₂×#120	C₂×D₅	1	2	yes	complemented
731	#518	—	5	16	no	—
732	C₂×C₄×D₄	—	5	1	no	—
733	C₂×C₄×D₄	—	5	2	no	—
734	C₂×C₄×D₄	—	5	1	no	—
735	C₂×C₄×D₄	—	5	2	no	—
736	C₂×C₄×D₄	—	5	1	no	—
737	C₂×C₄×D₄	—	5	1	no	—
738	C₂×C₄×D₄	—	5	2	no	—
739	C₂×C₄×D₄	—	5	2	no	—
740	C₂×C₄×D₄	—	5	1	no	—
741	C₂×C₄×D₄	—	5	1	no	—
742	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
743	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
744	C₂×#117	—	5	1	no	—
745	C₂×#117	—	5	1	no	—
746	C₂²×C₂²⋊C₄	—	5	2	no	—
747	C₂²×C₂²⋊C₄	—	5	2	no	—
748	C₂²×C₂²⋊C₄	—	5	2	no	—
749	C₂²×C₂²⋊C₄	—	5	2	no	—
750	C₂²×C₂²⋊C₄	—	5	2	no	—
751	C₂²×C₂²⋊C₄	—	5	2	no	—
752	C₂³×C₅	—	2	2	no	—
753	C₂³×C₅	—	2	4	no	—
754	C₂³×C₅	—	2	4	no	—
755	C₂³×C₅	—	2	2	no	—
756	C₂³×C₅	—	2	4	no	—
757	C₂³×C₅	—	2	2	no	—
758	C₂³×C₅	—	2	16	no	—
759	C₂³×C₅	—	2	4	no	—
760	C₂³×C₅	—	2	2	no	—
761	C₂³×C₅	—	2	4	no	—
762	C₂³×C₅	—	2	4	no	—
763	C₂³×C₅	—	2	4	no	—
764	C₂³×C₅	—	2	2	no	—
765	C₂³×C₅	—	2	4	no	—
766	C₂³×C₅	—	2	16	no	—
767	C₂³×C₅	—	2	16	no	—
768	C₂³×C₅	—	4	8	no	—
769	C₂³×C₅	—	4	8	no	—
770	C₂³×C₅	—	4	8	no	—
771	C₂³×C₅	—	4	32	no	—
772	C₂³×C₅	—	8	16	no	—
773	C₂³×C₅	C₂²×D₄	1	8	yes	—
774	C₂³×C₅	H(5,𝔽₂)	1	4	yes	complemented
775	C₂³×C₅	C₂⁵	1	4	yes	—
776	C₂³×C₅	C₂⁵	1	4	yes	—
777	C₂³×C₅	C₂⁵	1	2	yes	—
778	C₂³×C₅	C₂⁵	1	4	yes	—
779	C₂³×C₅	C₂⁵	1	2	yes	—
780	C₂³×C₅	C₂⁵	1	1	yes	characteristic
781	C₂²×D₅	—	2	32	no	—
782	C₂²×D₅	—	2	2	no	—
783	C₂²×D₅	—	2	4	no	—
784	C₂²×D₅	—	2	4	no	—
785	C₂²×D₅	—	2	2	no	—
786	C₂²×D₅	—	2	2	no	—
787	C₂²×D₅	—	2	2	no	—
788	C₂²×D₅	—	2	8	no	—
789	C₂²×D₅	—	2	8	no	—
790	C₂²×D₅	—	2	8	no	—
791	C₂²×D₅	—	2	2	no	—
792	C₂²×D₅	—	2	4	no	—
793	C₂²×D₅	—	2	16	no	—
794	C₂²×D₅	—	2	2	no	—
795	C₂²×D₅	—	2	2	no	—
796	C₂²×D₅	—	2	4	no	—
797	C₂²×D₅	—	2	4	no	—
798	C₂²×D₅	—	2	16	no	—
799	C₂²×D₅	—	2	16	no	—
800	C₂²×D₅	—	2	16	no	—
801	C₂²×D₅	—	2	16	no	—
802	C₂²×D₅	—	2	16	no	—
803	C₂²×D₅	—	2	16	no	—
804	C₂²×D₅	—	2	16	no	—
805	C₂²×D₅	—	4	32	no	—
806	C₂²×D₅	—	4	8	no	—
807	C₂²×D₅	—	4	8	no	—
808	C₂²×D₅	—	4	8	no	—
809	C₂²×D₅	—	4	8	no	—
810	C₂²×D₅	—	4	8	no	—
811	C₂²×D₅	—	4	8	no	—
812	C₂²×D₅	—	4	8	no	—
813	C₂²×D₅	—	4	32	no	—
814	C₂²×D₅	—	4	8	no	—
815	C₂²×D₅	—	4	8	no	—
816	C₂²×D₅	—	4	32	no	—
817	C₂²×D₅	—	4	32	no	—
818	C₂²×D₅	—	4	256	no	—
819	C₂²×D₅	—	4	32	no	—
820	C₂²×D₅	—	8	16	no	—
821	C₂²×D₅	C₂²×D₄	1	4	yes	—
822	C₂²×D₅	C₂²×D₄	1	8	yes	—
823	C₂²×D₅	C₂²×D₄	1	32	yes	complemented
824	C₂²×D₅	H(5,𝔽₂)	1	4	yes	complemented
825	C₂²×D₅	C₂⁵	1	4	yes	—
826	C₂²×D₅	C₂⁵	1	2	yes	—
827	C₂²×D₅	C₂⁵	1	2	yes	—
828	C₂²×D₅	C₂⁵	1	4	yes	—
829	C₂²×D₅	C₂⁵	1	2	yes	—
830	C₅×D₄	—	2	16	no	—
831	C₅×D₄	—	2	16	no	—
832	C₅×D₄	—	2	16	no	—
833	C₅×D₄	—	2	8	no	—
834	C₅×D₄	—	2	8	no	—
835	C₅×D₄	—	2	8	no	—
836	C₅×D₄	—	4	8	no	—
837	C₅×D₄	—	4	8	no	—
838	C₅×D₄	—	4	8	no	—
839	C₅×D₄	C₂²×D₄	1	16	yes	complemented
840	C₂×C₄×C₅	—	2	2	no	—
841	C₂×C₄×C₅	—	2	2	no	—
842	C₂×C₄×C₅	—	2	2	no	—
843	C₂×C₄×C₅	—	2	4	no	—
844	C₂×C₄×C₅	—	2	2	no	—
845	C₂×C₄×C₅	—	2	8	no	—
846	C₂×C₄×C₅	—	2	8	no	—
847	C₂×C₄×C₅	—	4	8	no	—
848	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
849	C₂×C₄×C₅	C₂⁵	1	4	yes	—
850	C₂×C₄×C₅	C₂⁵	1	2	yes	—
851	C₂×C₄×C₅	C₂⁵	1	2	yes	—
852	C₂×C₄×C₅	C₂⁵	1	2	yes	—
853	C₂×C₄×C₅	C₂⁵	1	2	yes	—
854	C₂×C₄×C₅	C₂⁵	1	2	yes	—
855	C₂²⋊D₅	—	2	16	no	—
856	C₂²⋊D₅	—	2	16	no	—
857	C₂²⋊D₅	—	2	8	no	—
858	C₂²⋊D₅	—	2	8	no	—
859	C₂²⋊D₅	—	2	16	no	—
860	C₂²⋊D₅	—	2	16	no	—
861	C₂²⋊D₅	—	2	16	no	—
862	C₂²⋊D₅	—	2	16	no	—
863	C₂²⋊D₅	—	2	16	no	—
864	C₂²⋊D₅	—	2	8	no	—
865	C₂²⋊D₅	—	2	8	no	—
866	C₂²⋊D₅	—	2	16	no	—
867	C₂²⋊D₅	—	4	8	no	—
868	C₂²⋊D₅	—	4	8	no	—
869	C₂²⋊D₅	—	4	8	no	—
870	C₂²⋊D₅	—	4	8	no	—
871	C₂²⋊D₅	C₂²×D₄	1	32	yes	complemented
872	C₂×Dic₅	—	2	4	no	—
873	C₂×Dic₅	—	2	2	no	—
874	C₂×Dic₅	—	2	2	no	—
875	C₂×Dic₅	—	2	16	no	—
876	C₂×Dic₅	—	2	2	no	—
877	C₂×Dic₅	—	2	4	no	—
878	C₂×Dic₅	—	2	2	no	—
879	C₂×Dic₅	—	2	8	no	—
880	C₂×Dic₅	—	2	16	no	—
881	C₂×Dic₅	—	4	8	no	—
882	C₂×Dic₅	C₂²×D₄	1	4	yes	—
883	C₂×Dic₅	C₂⁵	1	2	yes	—
884	C₂×Dic₅	C₂⁵	1	2	yes	—
885	C₂×Dic₅	C₂⁵	1	4	yes	—
886	C₂×Dic₅	C₂⁵	1	2	yes	—
887	C₂×Dic₅	C₂⁵	1	4	yes	—
888	C₂×Dic₅	C₂⁵	1	2	yes	—
889	C₂×Dic₅	C₂⁵	1	2	yes	—
890	D₂₀	—	2	16	no	—
891	D₂₀	—	2	8	no	—
892	D₂₀	—	2	8	no	—
893	D₂₀	—	2	8	no	—
894	D₂₀	—	4	8	no	—
895	D₂₀	C₂²×D₄	1	16	yes	complemented
896	C₄×D₅	—	2	8	no	—
897	C₄×D₅	—	2	16	no	—
898	C₄×D₅	—	2	8	no	—
899	C₄×D₅	—	2	8	no	—
900	C₄×D₅	—	2	8	no	—
901	C₄×D₅	—	4	8	no	—
902	C₄×D₅	—	4	8	no	—
903	C₄×D₅	C₂²×D₄	1	16	yes	complemented
904	Dic₁₀	—	2	8	no	—
905	Dic₁₀	—	2	8	no	—
906	C₂⁵	—	5	2	no	—
907	C₂⁵	—	5	1	no	—
908	C₂⁵	—	5	2	no	—
909	C₂⁵	—	5	2	no	—
910	C₂⁵	—	5	2	no	—
911	C₂⁵	—	5	2	no	—
912	C₂⁵	—	5	16	no	—
913	C₂⁵	—	5	2	no	—
914	C₂⁵	—	10	16	no	—
915	C₂⁵	—	20	8	no	—
916	C₂⁵	—	20	8	no	—
917	C₂⁵	C₂²×D₅	1	2	yes	—
918	C₂⁵	C₂²×D₅	1	2	yes	complemented
919	H(5,𝔽₂)	—	10	128	no	—
920	C₂×#41	—	5	8	no	—
921	C₂×#41	—	5	8	no	—
922	C₂×#41	—	5	16	no	—
923	C₂×#41	—	5	8	no	—
924	C₂×#41	—	5	8	no	—
925	C₂×#41	—	10	8	no	—
926	C₂×#41	—	10	8	no	—
927	C₂×#41	—	10	8	no	—
928	C₂×#41	—	10	16	no	—
929	C₂×#41	—	10	8	no	—
930	C₂²×Q₈	—	5	1	no	—
931	C₂²×Q₈	—	5	1	no	—
932	C₂²×D₄	—	2	8	no	—
933	C₂²×D₄	—	2	8	no	—
934	C₂²×D₄	—	4	8	no	—
935	C₂²×D₄	—	5	2	no	—
936	C₂²×D₄	—	5	16	no	—
937	C₂²×D₄	—	5	8	no	—
938	C₂²×D₄	—	5	2	no	—
939	C₂²×D₄	—	5	1	no	—
940	C₂²×D₄	—	5	1	no	—
941	C₂²×D₄	—	5	2	no	—
942	C₂²×D₄	—	5	1	no	—
943	C₂²×D₄	—	5	2	no	—
944	C₂²×D₄	—	5	2	no	—
945	C₂²×D₄	—	5	2	no	—
946	C₂²×D₄	—	5	2	no	—
947	C₂²×D₄	—	5	2	no	—
948	C₂²×D₄	—	5	2	no	—
949	C₂²×D₄	—	5	1	no	—
950	C₂²×D₄	—	5	16	no	—
951	C₂²×D₄	—	5	16	no	—
952	C₂²×D₄	—	5	16	no	—
953	C₂²×D₄	—	5	2	no	—
954	C₂²×D₄	—	5	2	no	—
955	C₂²×D₄	—	5	2	no	—
956	C₂²×D₄	—	5	2	no	—
957	C₂²×D₄	—	5	16	no	—
958	C₂²×D₄	—	5	16	no	—
959	C₂²×D₄	—	5	8	no	—
960	C₂²×D₄	—	5	16	no	—
961	C₂²×D₄	—	5	8	no	—
962	C₂²×D₄	—	5	8	no	—
963	C₂²×D₄	—	5	16	no	—
964	C₂²×D₄	—	5	8	no	—
965	C₂²×D₄	—	5	16	no	—
966	C₂²×D₄	—	5	16	no	—
967	C₂²×D₄	—	5	1	no	—
968	C₂²×D₄	—	5	1	no	—
969	C₂²×D₄	—	5	1	no	—
970	C₂²×D₄	—	5	2	no	—
971	C₂²×D₄	—	5	1	no	—
972	C₂²×D₄	—	5	8	no	—
973	C₂²×D₄	—	5	2	no	—
974	C₂²×D₄	—	10	8	no	—
975	C₂²×D₄	—	10	8	no	—
976	C₂²×D₄	—	10	16	no	—
977	C₂²×D₄	—	10	128	no	—
978	C₂²×D₄	—	10	8	no	—
979	C₂²×D₄	—	10	8	no	—
980	C₂²×D₄	—	10	16	no	—
981	C₂²×D₄	—	10	16	no	—
982	C₂²×D₄	—	10	16	no	—
983	C₂²×D₄	—	10	16	no	—
984	C₂²×D₄	—	10	16	no	—
985	C₂²×D₄	—	10	8	no	—
986	C₂²×D₄	—	20	8	no	—
987	C₂²×D₄	—	20	8	no	—
988	C₂²×D₄	—	20	8	no	—
989	C₂²×D₄	C₂²×D₅	1	2	yes	—
990	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
991	C₂²×D₄	C₂²×D₅	1	2	yes	—
992	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
993	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
994	C₂²×D₄	C₂²×D₅	1	8	yes	complemented
995	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
996	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
997	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
998	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
999	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
1000	C₂²×D₄	C₂²×D₅	1	8	yes	complemented
1001	C₂²×D₄	C₂²×D₅	1	16	yes	complemented
1002	C₂³×C₄	—	5	1	no	—
1003	C₂³×C₄	—	5	2	no	—
1004	C₂³×C₄	—	5	2	no	—
1005	C₂³×C₄	—	5	1	no	—
1006	C₂³×C₄	—	5	2	no	—
1007	C₂³×C₄	—	5	2	no	—
1008	C₂³×C₄	—	5	1	no	—
1009	C₂³×C₄	—	5	1	no	—
1010	C₂³×C₄	—	5	1	no	—
1011	C₂³×C₄	—	5	1	no	—
1012	C₂³×C₄	—	5	8	no	—
1013	C₂³×C₄	—	5	2	no	—
1014	C₂³×C₄	—	5	2	no	—
1015	C₂³×C₄	—	10	8	no	—
1016	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1017	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1018	C₂³×C₄	C₂²×D₅	1	2	yes	complemented
1019	#127	—	5	16	no	—
1020	#127	—	5	8	no	—
1021	#127	C₂²×D₅	1	8	yes	complemented
1022	#124	—	5	8	no	—
1023	#124	—	5	16	no	—
1024	#124	—	5	8	no	—
1025	#123	—	5	16	no	—
1026	#123	—	5	8	no	—
1027	#123	—	5	16	no	—
1028	#123	—	5	16	no	—
1029	#123	—	5	8	no	—
1030	#123	—	5	16	no	—
1031	#123	—	5	16	no	—
1032	C₂²⋊Q₈	—	5	8	no	—
1033	C₂²⋊Q₈	—	5	8	no	—
1034	C₂²⋊Q₈	—	5	8	no	—
1035	C₂²⋊Q₈	—	5	8	no	—
1036	#121	—	5	8	no	—
1037	#121	—	5	16	no	—
1038	#121	—	5	8	no	—
1039	#121	—	5	8	no	—
1040	#121	—	5	16	no	—
1041	#121	—	5	16	no	—
1042	#121	—	5	16	no	—
1043	#121	—	5	16	no	—
1044	#121	—	5	16	no	—
1045	#121	—	5	16	no	—
1046	#121	—	5	8	no	—
1047	#121	—	5	8	no	—
1048	#121	—	5	8	no	—
1049	#121	—	5	16	no	—
1050	#121	—	5	16	no	—
1051	#121	C₂²×D₅	1	8	yes	complemented
1052	#121	C₂²×D₅	1	16	yes	complemented
1053	#121	C₂²×D₅	1	8	yes	complemented
1054	#120	—	5	16	no	—
1055	#120	—	5	16	no	—
1056	#120	—	5	16	no	—
1057	#120	—	5	8	no	—
1058	#120	—	5	16	no	—
1059	#120	—	5	16	no	—
1060	#120	—	5	16	no	—
1061	#120	—	5	16	no	—
1062	#120	—	5	16	no	—
1063	#120	—	5	16	no	—
1064	#120	—	5	16	no	—
1065	#120	—	5	16	no	—
1066	#120	—	5	16	no	—
1067	#120	—	5	8	no	—
1068	#120	—	5	16	no	—
1069	#120	—	5	16	no	—
1070	#120	—	5	16	no	—
1071	#120	C₂²×D₅	1	16	yes	complemented
1072	#120	C₂²×D₅	1	16	yes	complemented
1073	C₄×D₄	—	5	8	no	—
1074	C₄×D₄	—	5	16	no	—
1075	C₄×D₄	—	5	8	no	—
1076	C₄×D₄	—	5	16	no	—
1077	C₄×D₄	—	5	8	no	—
1078	C₄×D₄	—	5	8	no	—
1079	C₄×D₄	—	5	16	no	—
1080	C₄×D₄	—	5	16	no	—
1081	C₄×D₄	—	5	8	no	—
1082	C₄×D₄	—	5	8	no	—
1083	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1084	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1085	#117	—	5	8	no	—
1086	#117	—	5	8	no	—
1087	C₂×C₄⋊C₄	—	5	1	no	—
1088	C₂×C₄⋊C₄	—	5	1	no	—
1089	C₂×C₄⋊C₄	—	5	1	no	—
1090	C₂×C₄⋊C₄	—	5	1	no	—
1091	C₂×C₄⋊C₄	—	5	2	no	—
1092	C₂×C₄⋊C₄	—	5	1	no	—
1093	C₂×C₄⋊C₄	—	5	2	no	—
1094	C₂×C₄⋊C₄	—	5	1	no	—
1095	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1096	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1097	C₂×C₂²⋊C₄	—	5	1	no	—
1098	C₂×C₂²⋊C₄	—	5	2	no	—
1099	C₂×C₂²⋊C₄	—	5	2	no	—
1100	C₂×C₂²⋊C₄	—	5	2	no	—
1101	C₂×C₂²⋊C₄	—	5	2	no	—
1102	C₂×C₂²⋊C₄	—	5	2	no	—
1103	C₂×C₂²⋊C₄	—	5	16	no	—
1104	C₂×C₂²⋊C₄	—	5	2	no	—
1105	C₂×C₂²⋊C₄	—	5	1	no	—
1106	C₂×C₂²⋊C₄	—	5	2	no	—
1107	C₂×C₂²⋊C₄	—	5	1	no	—
1108	C₂×C₂²⋊C₄	—	5	1	no	—
1109	C₂×C₂²⋊C₄	—	5	1	no	—
1110	C₂×C₂²⋊C₄	—	5	2	no	—
1111	C₂×C₂²⋊C₄	—	5	1	no	—
1112	C₂×C₂²⋊C₄	—	5	2	no	—
1113	C₂×C₂²⋊C₄	—	5	2	no	—
1114	C₂×C₂²⋊C₄	—	5	2	no	—
1115	C₂×C₂²⋊C₄	—	5	2	no	—
1116	C₂×C₂²⋊C₄	—	5	2	no	—
1117	C₂×C₂²⋊C₄	—	5	2	no	—
1118	C₂×C₂²⋊C₄	—	5	1	no	—
1119	C₂×C₂²⋊C₄	—	5	1	no	—
1120	C₂×C₂²⋊C₄	—	5	16	no	—
1121	C₂×C₂²⋊C₄	—	5	16	no	—
1122	C₂×C₂²⋊C₄	—	5	16	no	—
1123	C₂×C₂²⋊C₄	—	5	16	no	—
1124	C₂×C₂²⋊C₄	—	5	16	no	—
1125	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1126	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1127	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1128	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	complemented
1129	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1130	C₂×C₄²	—	5	2	no	—
1131	C₂×C₄²	—	5	1	no	—
1132	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
1133	C₂²×C₅	—	2	2	no	—
1134	C₂²×C₅	—	2	4	no	—
1135	C₂²×C₅	—	2	4	no	—
1136	C₂²×C₅	—	2	2	no	—
1137	C₂²×C₅	—	2	8	no	—
1138	C₂²×C₅	—	2	16	no	—
1139	C₂²×C₅	—	2	4	no	—
1140	C₂²×C₅	—	2	2	no	—
1141	C₂²×C₅	—	2	4	no	—
1142	C₂²×C₅	—	2	2	no	—
1143	C₂²×C₅	—	2	4	no	—
1144	C₂²×C₅	—	2	4	no	—
1145	C₂²×C₅	—	2	4	no	—
1146	C₂²×C₅	—	2	2	no	—
1147	C₂²×C₅	—	2	4	no	—
1148	C₂²×C₅	—	4	32	no	—
1149	C₂²×C₅	—	4	8	no	—
1150	C₂²×C₅	—	4	8	no	—
1151	C₂²×C₅	—	4	4	no	—
1152	C₂²×C₅	—	8	16	no	—
1153	C₂²×C₅	C₂³×D₄	1	8	yes	—
1154	C₂²×C₅	C₂³×D₄	1	2	yes	—
1155	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1156	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1157	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	complemented
1158	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1159	C₂×D₅	—	2	32	no	—
1160	C₂×D₅	—	2	2	no	—
1161	C₂×D₅	—	2	4	no	—
1162	C₂×D₅	—	2	4	no	—
1163	C₂×D₅	—	2	2	no	—
1164	C₂×D₅	—	2	2	no	—
1165	C₂×D₅	—	2	2	no	—
1166	C₂×D₅	—	2	8	no	—
1167	C₂×D₅	—	2	8	no	—
1168	C₂×D₅	—	2	16	no	—
1169	C₂×D₅	—	2	2	no	—
1170	C₂×D₅	—	2	4	no	—
1171	C₂×D₅	—	2	2	no	—
1172	C₂×D₅	—	2	2	no	—
1173	C₂×D₅	—	2	4	no	—
1174	C₂×D₅	—	2	4	no	—
1175	C₂×D₅	—	4	32	no	—
1176	C₂×D₅	—	4	32	no	—
1177	C₂×D₅	—	4	32	no	—
1178	C₂×D₅	—	4	32	no	—
1179	C₂×D₅	—	4	32	no	—
1180	C₂×D₅	—	4	8	no	—
1181	C₂×D₅	—	4	4	no	—
1182	C₂×D₅	—	8	16	no	—
1183	C₂×D₅	C₂³×D₄	1	4	yes	—
1184	C₂×D₅	C₂³×D₄	1	8	yes	—
1185	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	complemented
1186	C₄×C₅	—	2	2	no	—
1187	C₄×C₅	—	2	2	no	—
1188	C₄×C₅	—	2	2	no	—
1189	C₄×C₅	—	2	4	no	—
1190	C₄×C₅	—	2	2	no	—
1191	C₄×C₅	C₂³×D₄	1	4	yes	—
1192	Dic₅	—	2	4	no	—
1193	Dic₅	—	2	2	no	—
1194	Dic₅	—	2	2	no	—
1195	Dic₅	—	2	2	no	—
1196	Dic₅	—	2	4	no	—
1197	Dic₅	—	2	2	no	—
1198	Dic₅	C₂³×D₄	1	4	yes	—
1199	C₂⁴	—	2	8	no	—
1200	C₂⁴	—	2	8	no	—
1201	C₂⁴	—	2	8	no	—
1202	C₂⁴	—	4	4	no	—
1203	C₂⁴	—	4	4	no	—
1204	C₂⁴	—	4	4	no	—
1205	C₂⁴	—	5	1	no	—
1206	C₂⁴	—	5	1	no	—
1207	C₂⁴	—	5	2	no	—
1208	C₂⁴	—	5	16	no	—
1209	C₂⁴	—	5	8	no	—
1210	C₂⁴	—	5	4	no	—
1211	C₂⁴	—	5	2	no	—
1212	C₂⁴	—	5	1	no	—
1213	C₂⁴	—	5	8	no	—
1214	C₂⁴	—	5	8	no	—
1215	C₂⁴	—	5	8	no	—
1216	C₂⁴	—	5	8	no	—
1217	C₂⁴	—	5	8	no	—
1218	C₂⁴	—	10	4	no	—
1219	C₂⁴	—	10	4	no	—
1220	C₂⁴	—	10	8	no	—
1221	C₂⁴	—	10	8	no	—
1222	C₂⁴	—	10	8	no	—
1223	C₂⁴	—	10	64	no	—
1224	C₂⁴	—	10	8	no	—
1225	C₂⁴	—	10	8	no	—
1226	C₂⁴	—	10	8	no	—
1227	C₂⁴	—	10	4	no	—
1228	C₂⁴	—	10	8	no	—
1229	C₂⁴	—	10	8	no	—
1230	C₂⁴	—	20	4	no	—
1231	C₂⁴	—	20	4	no	—
1232	C₂⁴	—	20	4	no	—
1233	C₂⁴	—	20	4	no	—
1234	C₂⁴	—	20	4	no	—
1235	C₂⁴	—	20	4	no	—
1236	C₂⁴	—	20	32	no	—
1237	C₂⁴	—	20	4	no	—
1238	C₂⁴	—	20	4	no	—
1239	C₂⁴	—	20	4	no	—
1240	C₂⁴	—	20	32	no	—
1241	C₂⁴	—	20	128	no	—
1242	C₂⁴	C₂³×D₅	1	2	yes	—
1243	C₂⁴	C₂³×D₅	1	2	yes	—
1244	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1245	C₂⁴	C₂³×D₅	1	8	yes	—
1246	C₂⁴	C₂³×D₅	1	2	yes	—
1247	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1248	C₂⁴	C₂³×D₅	1	8	yes	complemented
1249	#41	—	10	32	no	—
1250	#41	—	10	32	no	—
1251	#41	—	10	32	no	—
1252	#41	—	10	64	no	—
1253	#41	—	10	32	no	—
1254	C₂×Q₈	—	5	4	no	—
1255	C₂×Q₈	—	5	4	no	—
1256	C₂×Q₈	—	10	4	no	—
1257	C₂×Q₈	—	10	4	no	—
1258	C₂×D₄	—	2	8	no	—
1259	C₂×D₄	—	2	8	no	—
1260	C₂×D₄	—	2	4	no	—
1261	C₂×D₄	—	2	8	no	—
1262	C₂×D₄	—	2	32	no	—
1263	C₂×D₄	—	2	32	no	—
1264	C₂×D₄	—	2	4	no	—
1265	C₂×D₄	—	2	4	no	—
1266	C₂×D₄	—	4	4	no	—
1267	C₂×D₄	—	4	4	no	—
1268	C₂×D₄	—	4	4	no	—
1269	C₂×D₄	—	4	32	no	—
1270	C₂×D₄	—	5	16	no	—
1271	C₂×D₄	—	5	8	no	—
1272	C₂×D₄	—	5	64	no	—
1273	C₂×D₄	—	5	8	no	—
1274	C₂×D₄	—	5	4	no	—
1275	C₂×D₄	—	5	4	no	—
1276	C₂×D₄	—	5	8	no	—
1277	C₂×D₄	—	5	4	no	—
1278	C₂×D₄	—	5	8	no	—
1279	C₂×D₄	—	5	8	no	—
1280	C₂×D₄	—	5	8	no	—
1281	C₂×D₄	—	5	8	no	—
1282	C₂×D₄	—	5	8	no	—
1283	C₂×D₄	—	5	8	no	—
1284	C₂×D₄	—	5	4	no	—
1285	C₂×D₄	—	5	8	no	—
1286	C₂×D₄	—	5	8	no	—
1287	C₂×D₄	—	5	8	no	—
1288	C₂×D₄	—	5	8	no	—
1289	C₂×D₄	—	5	8	no	—
1290	C₂×D₄	—	5	4	no	—
1291	C₂×D₄	—	5	4	no	—
1292	C₂×D₄	—	5	4	no	—
1293	C₂×D₄	—	5	8	no	—
1294	C₂×D₄	—	5	4	no	—
1295	C₂×D₄	—	5	8	no	—
1296	C₂×D₄	—	10	32	no	—
1297	C₂×D₄	—	10	8	no	—
1298	C₂×D₄	—	10	4	no	—
1299	C₂×D₄	—	10	4	no	—
1300	C₂×D₄	—	10	32	no	—
1301	C₂×D₄	—	10	8	no	—
1302	C₂×D₄	—	10	4	no	—
1303	C₂×D₄	—	10	64	no	—
1304	C₂×D₄	—	10	32	no	—
1305	C₂×D₄	—	10	32	no	—
1306	C₂×D₄	—	10	64	no	—
1307	C₂×D₄	—	10	64	no	—
1308	C₂×D₄	—	10	64	no	—
1309	C₂×D₄	—	10	64	no	—
1310	C₂×D₄	—	10	8	no	—
1311	C₂×D₄	—	10	4	no	—
1312	C₂×D₄	—	10	8	no	—
1313	C₂×D₄	—	10	8	no	—
1314	C₂×D₄	—	10	8	no	—
1315	C₂×D₄	—	10	64	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	32	no	—
1322	C₂×D₄	—	10	4	no	—
1323	C₂×D₄	—	20	4	no	—
1324	C₂×D₄	—	20	4	no	—
1325	C₂×D₄	—	20	4	no	—
1326	C₂×D₄	—	20	4	no	—
1327	C₂×D₄	—	20	4	no	—
1328	C₂×D₄	—	20	32	no	—
1329	C₂×D₄	—	20	32	no	—
1330	C₂×D₄	—	20	32	no	—
1331	C₂×D₄	D₄×D₅	1	8	yes	complemented
1332	C₂×D₄	C₂³×D₅	1	8	yes	—
1333	C₂×D₄	C₂³×D₅	1	4	yes	—
1334	C₂×D₄	C₂³×D₅	1	8	yes	—
1335	C₂×D₄	C₂³×D₅	1	4	yes	—
1336	C₂×D₄	C₂³×D₅	1	4	yes	—
1337	C₂×D₄	C₂³×D₅	1	8	yes	complemented
1338	C₂×D₄	C₂³×D₅	1	4	yes	complemented
1339	C₂×D₄	C₂³×D₅	1	8	yes	complemented
1340	C₂×D₄	C₂³×D₅	1	8	yes	complemented
1341	C₂×D₄	C₂³×D₅	1	8	yes	complemented
1342	C₂²×C₄	—	2	4	no	—
1343	C₂²×C₄	—	2	4	no	—
1344	C₂²×C₄	—	4	4	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	5	8	no	—
1347	C₂²×C₄	—	5	4	no	—
1348	C₂²×C₄	—	5	8	no	—
1349	C₂²×C₄	—	5	8	no	—
1350	C₂²×C₄	—	5	4	no	—
1351	C₂²×C₄	—	5	1	no	—
1352	C₂²×C₄	—	5	2	no	—
1353	C₂²×C₄	—	5	1	no	—
1354	C₂²×C₄	—	5	1	no	—
1355	C₂²×C₄	—	5	2	no	—
1356	C₂²×C₄	—	5	1	no	—
1357	C₂²×C₄	—	5	8	no	—
1358	C₂²×C₄	—	5	8	no	—
1359	C₂²×C₄	—	5	4	no	—
1360	C₂²×C₄	—	5	4	no	—
1361	C₂²×C₄	—	5	4	no	—
1362	C₂²×C₄	—	5	4	no	—
1363	C₂²×C₄	—	5	8	no	—
1364	C₂²×C₄	—	5	8	no	—
1365	C₂²×C₄	—	10	4	no	—
1366	C₂²×C₄	—	10	32	no	—
1367	C₂²×C₄	—	10	4	no	—
1368	C₂²×C₄	—	10	8	no	—
1369	C₂²×C₄	—	10	4	no	—
1370	C₂²×C₄	—	10	8	no	—
1371	C₂²×C₄	—	10	8	no	—
1372	C₂²×C₄	—	10	4	no	—
1373	C₂²×C₄	—	10	4	no	—
1374	C₂²×C₄	—	20	4	no	—
1375	C₂²×C₄	—	20	4	no	—
1376	C₂²×C₄	—	20	4	no	—
1377	C₂²×C₄	C₂³×D₅	1	4	yes	—
1378	C₂²×C₄	C₂³×D₅	1	2	yes	—
1379	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1380	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1381	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1382	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1383	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1384	C₂²×C₄	C₂³×D₅	1	4	yes	complemented
1385	C₂²×C₄	C₂³×D₅	1	8	yes	complemented
1386	C₄⋊C₄	—	5	4	no	—
1387	C₄⋊C₄	—	5	4	no	—
1388	C₄⋊C₄	—	5	4	no	—
1389	C₄⋊C₄	—	5	4	no	—
1390	C₄⋊C₄	—	5	8	no	—
1391	C₄⋊C₄	—	5	4	no	—
1392	C₄⋊C₄	—	5	8	no	—
1393	C₄⋊C₄	—	5	4	no	—
1394	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1395	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1396	C₂²⋊C₄	—	5	4	no	—
1397	C₂²⋊C₄	—	5	8	no	—
1398	C₂²⋊C₄	—	5	8	no	—
1399	C₂²⋊C₄	—	5	8	no	—
1400	C₂²⋊C₄	—	5	8	no	—
1401	C₂²⋊C₄	—	5	8	no	—
1402	C₂²⋊C₄	—	5	8	no	—
1403	C₂²⋊C₄	—	5	4	no	—
1404	C₂²⋊C₄	—	5	8	no	—
1405	C₂²⋊C₄	—	5	4	no	—
1406	C₂²⋊C₄	—	5	4	no	—
1407	C₂²⋊C₄	—	5	4	no	—
1408	C₂²⋊C₄	—	5	8	no	—
1409	C₂²⋊C₄	—	5	4	no	—
1410	C₂²⋊C₄	—	5	8	no	—
1411	C₂²⋊C₄	—	5	8	no	—
1412	C₂²⋊C₄	—	5	8	no	—
1413	C₂²⋊C₄	—	5	8	no	—
1414	C₂²⋊C₄	—	5	8	no	—
1415	C₂²⋊C₄	—	5	8	no	—
1416	C₂²⋊C₄	—	5	4	no	—
1417	C₂²⋊C₄	—	5	4	no	—
1418	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1419	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1420	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1421	C₂²⋊C₄	C₂³×D₅	1	8	yes	complemented
1422	C₂²⋊C₄	C₂³×D₅	1	4	yes	complemented
1423	C₄²	—	5	8	no	—
1424	C₄²	—	5	4	no	—
1425	C₄²	C₂³×D₅	1	4	yes	complemented
1426	C₂×C₅	—	2	4	no	—
1427	C₂×C₅	—	2	8	no	—
1428	C₂×C₅	—	4	4	no	—
1429	C₂×C₅	—	4	4	no	—
1430	C₂×C₅	—	4	2	no	—
1431	C₂×C₅	#3484	1	4	yes	complemented
1432	C₂×C₅	C₂⁴×D₄	1	1	yes	characteristic
1433	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1434	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1435	D₅	—	2	4	no	—
1436	D₅	—	2	4	no	—
1437	D₅	—	2	8	no	—
1438	D₅	—	4	4	no	—
1439	D₅	—	4	2	no	—
1440	C₂³	—	2	2	no	—
1441	C₂³	—	2	4	no	—
1442	C₂³	—	2	4	no	—
1443	C₂³	—	2	2	no	—
1444	C₂³	—	2	2	no	—
1445	C₂³	—	2	4	no	—
1446	C₂³	—	2	16	no	—
1447	C₂³	—	2	4	no	—
1448	C₂³	—	2	2	no	—
1449	C₂³	—	2	4	no	—
1450	C₂³	—	2	4	no	—
1451	C₂³	—	2	16	no	—
1452	C₂³	—	2	4	no	—
1453	C₂³	—	2	4	no	—
1454	C₂³	—	2	2	no	—
1455	C₂³	—	2	16	no	—
1456	C₂³	—	4	8	no	—
1457	C₂³	—	4	8	no	—
1458	C₂³	—	4	8	no	—
1459	C₂³	—	4	32	no	—
1460	C₂³	—	5	4	no	—
1461	C₂³	—	5	8	no	—
1462	C₂³	—	5	4	no	—
1463	C₂³	—	5	2	no	—
1464	C₂³	—	5	2	no	—
1465	C₂³	—	5	4	no	—
1466	C₂³	—	5	32	no	—
1467	C₂³	—	5	4	no	—
1468	C₂³	—	5	2	no	—
1469	C₂³	—	8	16	no	—
1470	C₂³	—	10	8	no	—
1471	C₂³	—	10	8	no	—
1472	C₂³	—	10	16	no	—
1473	C₂³	—	10	16	no	—
1474	C₂³	—	10	16	no	—
1475	C₂³	—	10	16	no	—
1476	C₂³	—	10	16	no	—
1477	C₂³	—	10	16	no	—
1478	C₂³	—	10	32	no	—
1479	C₂³	—	10	2	no	—
1480	C₂³	—	10	4	no	—
1481	C₂³	—	10	2	no	—
1482	C₂³	—	10	2	no	—
1483	C₂³	—	10	8	no	—
1484	C₂³	—	10	4	no	—
1485	C₂³	—	10	2	no	—
1486	C₂³	—	10	2	no	—
1487	C₂³	—	10	16	no	—
1488	C₂³	—	10	4	no	—
1489	C₂³	—	10	2	no	—
1490	C₂³	—	10	4	no	—
1491	C₂³	—	10	16	no	—
1492	C₂³	—	10	2	no	—
1493	C₂³	—	10	4	no	—
1494	C₂³	—	20	8	no	—
1495	C₂³	—	20	8	no	—
1496	C₂³	—	20	8	no	—
1497	C₂³	—	20	8	no	—
1498	C₂³	—	20	32	no	—
1499	C₂³	—	20	8	no	—
1500	C₂³	—	20	8	no	—
1501	C₂³	—	20	8	no	—
1502	C₂³	—	20	8	no	—
1503	C₂³	—	20	8	no	—
1504	C₂³	—	20	32	no	—
1505	C₂³	—	20	32	no	—
1506	C₂³	—	20	32	no	—
1507	C₂³	—	20	256	no	—
1508	C₂³	—	20	32	no	—
1509	C₂³	—	40	16	no	—
1510	C₂³	C₂×D₄×D₅	1	8	yes	—
1511	C₂³	#4144	1	4	yes	complemented
1512	C₂³	C₂⁴×D₅	1	4	yes	—
1513	C₂³	C₂⁴×D₅	1	4	yes	—
1514	C₂³	C₂⁴×D₅	1	2	yes	—
1515	C₂³	C₂⁴×D₅	1	4	yes	—
1516	C₂³	C₂⁴×D₅	1	2	yes	—
1517	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1518	Q₈	—	10	8	no	—
1519	Q₈	—	10	8	no	—
1520	D₄	—	2	16	no	—
1521	D₄	—	2	16	no	—
1522	D₄	—	2	8	no	—
1523	D₄	—	2	16	no	—
1524	D₄	—	2	8	no	—
1525	D₄	—	2	8	no	—
1526	D₄	—	4	8	no	—
1527	D₄	—	4	8	no	—
1528	D₄	—	4	8	no	—
1529	D₄	—	5	32	no	—
1530	D₄	—	5	16	no	—
1531	D₄	—	10	16	no	—
1532	D₄	—	10	8	no	—
1533	D₄	—	10	8	no	—
1534	D₄	—	10	16	no	—
1535	D₄	—	10	8	no	—
1536	D₄	—	10	16	no	—
1537	D₄	—	10	8	no	—
1538	D₄	—	10	16	no	—
1539	D₄	—	10	16	no	—
1540	D₄	—	10	16	no	—
1541	D₄	—	10	16	no	—
1542	D₄	—	10	8	no	—
1543	D₄	—	10	16	no	—
1544	D₄	—	10	16	no	—
1545	D₄	—	10	8	no	—
1546	D₄	—	10	8	no	—
1547	D₄	—	20	8	no	—
1548	D₄	—	20	8	no	—
1549	D₄	—	20	8	no	—
1550	D₄	—	20	8	no	—
1551	D₄	—	20	8	no	—
1552	D₄	C₂×D₄×D₅	1	16	yes	complemented
1553	C₂×C₄	—	2	2	no	—
1554	C₂×C₄	—	2	2	no	—
1555	C₂×C₄	—	2	2	no	—
1556	C₂×C₄	—	2	4	no	—
1557	C₂×C₄	—	2	2	no	—
1558	C₂×C₄	—	2	8	no	—
1559	C₂×C₄	—	2	8	no	—
1560	C₂×C₄	—	4	8	no	—
1561	C₂×C₄	—	5	4	no	—
1562	C₂×C₄	—	5	2	no	—
1563	C₂×C₄	—	5	16	no	—
1564	C₂×C₄	—	5	2	no	—
1565	C₂×C₄	—	5	4	no	—
1566	C₂×C₄	—	5	2	no	—
1567	C₂×C₄	—	5	2	no	—
1568	C₂×C₄	—	5	4	no	—
1569	C₂×C₄	—	5	2	no	—
1570	C₂×C₄	—	10	8	no	—
1571	C₂×C₄	—	10	8	no	—
1572	C₂×C₄	—	10	16	no	—
1573	C₂×C₄	—	10	8	no	—
1574	C₂×C₄	—	10	16	no	—
1575	C₂×C₄	—	10	2	no	—
1576	C₂×C₄	—	10	4	no	—
1577	C₂×C₄	—	10	2	no	—
1578	C₂×C₄	—	10	16	no	—
1579	C₂×C₄	—	10	2	no	—
1580	C₂×C₄	—	10	4	no	—
1581	C₂×C₄	—	10	2	no	—
1582	C₂×C₄	—	10	8	no	—
1583	C₂×C₄	—	10	8	no	—
1584	C₂×C₄	—	20	8	no	—
1585	C₂×C₄	—	20	8	no	—
1586	C₂×C₄	—	20	8	no	—
1587	C₂×C₄	C₂×D₄×D₅	1	4	yes	—
1588	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1589	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1590	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1591	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1592	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1593	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1594	C₅	C₂×#3484	1	1	yes	characteristic, complemented, Sylow
1595	C₂²	—	2	2	no	—
1596	C₂²	—	2	4	no	—
1597	C₂²	—	2	4	no	—
1598	C₂²	—	2	2	no	—
1599	C₂²	—	2	8	no	—
1600	C₂²	—	2	16	no	—
1601	C₂²	—	2	2	no	—
1602	C₂²	—	2	4	no	—
1603	C₂²	—	2	4	no	—
1604	C₂²	—	2	2	no	—
1605	C₂²	—	2	4	no	—
1606	C₂²	—	2	4	no	—
1607	C₂²	—	2	4	no	—
1608	C₂²	—	2	4	no	—
1609	C₂²	—	2	2	no	—
1610	C₂²	—	4	32	no	—
1611	C₂²	—	4	8	no	—
1612	C₂²	—	4	4	no	—
1613	C₂²	—	4	8	no	—
1614	C₂²	—	5	4	no	—
1615	C₂²	—	5	8	no	—
1616	C₂²	—	5	4	no	—
1617	C₂²	—	8	16	no	—
1618	C₂²	—	10	32	no	—
1619	C₂²	—	10	2	no	—
1620	C₂²	—	10	4	no	—
1621	C₂²	—	10	2	no	—
1622	C₂²	—	10	2	no	—
1623	C₂²	—	10	4	no	—
1624	C₂²	—	10	2	no	—
1625	C₂²	—	10	8	no	—
1626	C₂²	—	10	8	no	—
1627	C₂²	—	10	16	no	—
1628	C₂²	—	10	2	no	—
1629	C₂²	—	10	4	no	—
1630	C₂²	—	10	2	no	—
1631	C₂²	—	10	4	no	—
1632	C₂²	—	10	2	no	—
1633	C₂²	—	10	4	no	—
1634	C₂²	—	20	32	no	—
1635	C₂²	—	20	32	no	—
1636	C₂²	—	20	32	no	—
1637	C₂²	—	20	32	no	—
1638	C₂²	—	20	32	no	—
1639	C₂²	—	20	8	no	—
1640	C₂²	—	20	4	no	—
1641	C₂²	—	40	16	no	—
1642	C₂²	C₂²×D₄×D₅	1	8	yes	—
1643	C₂²	C₂²×D₄×D₅	1	2	yes	—
1644	C₂²	C₂×#4144	1	2	yes	—
1645	C₂²	C₂×#4144	1	4	yes	complemented
1646	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1647	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1648	C₄	—	2	2	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	2	no	—
1651	C₄	—	2	4	no	—
1652	C₄	—	2	2	no	—
1653	C₄	—	5	4	no	—
1654	C₄	—	10	2	no	—
1655	C₄	—	10	4	no	—
1656	C₄	—	10	2	no	—
1657	C₄	—	10	2	no	—
1658	C₄	—	10	4	no	—
1659	C₄	—	10	2	no	—
1660	C₄	C₂²×D₄×D₅	1	4	yes	—
1661	C₂	—	2	4	no	—
1662	C₂	—	2	8	no	—
1663	C₂	—	4	4	no	—
1664	C₂	—	4	2	no	—
1665	C₂	—	4	4	no	—
1666	C₂	—	10	4	no	—
1667	C₂	—	10	4	no	—
1668	C₂	—	10	8	no	—
1669	C₂	—	20	4	no	—
1670	C₂	—	20	2	no	—
1671	C₂	#10618521	1	4	yes	direct product factor
1672	C₂	C₂³×D₄×D₅	1	1	yes	characteristic
1673	C₂	C₂²×#4144	1	1	yes	characteristic
1674	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×D₄²	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×D₄²	D₅
hypocenter	C₅	C₂×#3484
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×D₄²

Complements

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

N	H ≅ G/N	type
1. C₂²×#4144	C₂	semidirect
2. C₂³×D₄×D₅	C₂	semidirect
3. C₂×C₅×D₄²	C₂	semidirect
4. C₂×D₄×C₂²⋊D₅	C₂	semidirect
5. C₂×D₄×C₂²⋊D₅	C₂	semidirect
6. C₂²×#4083	C₂	semidirect
7. C₂×#66140	C₂	semidirect
8. #10618521	C₂	direct (N × H)
9. C₂×#66051	C₂	semidirect
10. C₂×#66049	C₂	semidirect
11. C₂×#65946	C₂	semidirect
12. C₂×#65944	C₂	semidirect
13. C₂×#65943	C₂	semidirect
14. C₂×#65941	C₂	semidirect
15. C₂×#65939	C₂	semidirect
16. C₂×#65940	C₂	semidirect
17. C₂×#65925	C₂	semidirect
18. C₂×#65924	C₂	semidirect
19. C₂×#65923	C₂	semidirect
20. C₂×D₅×#120	C₂	semidirect
21. C₂×#65884	C₂	semidirect
22. C₂×#65888	C₂	semidirect
23. C₂×#65881	C₂	semidirect
24. C₂×#65879	C₂	semidirect
25. C₂⁵×D₅	C₂²	semidirect
26. C₂³×C₅×D₄	C₂²	semidirect
27. C₂³×C₅×D₄	C₂²	semidirect
28. C₂³×C₅×D₄	C₂²	semidirect
29. C₂³×C₂²⋊D₅	C₂²	semidirect
30. C₂³×C₂²⋊D₅	C₂²	semidirect
31. C₂³×C₂²⋊D₅	C₂²	semidirect
32. C₂³×C₂²⋊D₅	C₂²	semidirect
34. C₂×#4144	C₂²	semidirect
35. C₂²×#711	C₂²	semidirect
36. C₂²×#711	C₂²	semidirect
37. 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×D₄×D₅	C₂²	semidirect
47. C₂²×D₄×D₅	C₂²	semidirect
48. C₂²×D₄×D₅	C₂²	semidirect
49. C₂²×D₄×D₅	C₂²	semidirect
50. C₂²×#709	C₂²	semidirect
51. C₂²×#709	C₂²	semidirect
52. C₂³×D₂₀	C₂²	semidirect
53. C₂³×C₄×D₅	C₂²	semidirect
54. C₅×D₄²	C₂²	semidirect
55. C₂×C₅×#127	C₂²	semidirect
56. C₂×C₅×#121	C₂²	semidirect
57. C₂×C₅×#121	C₂²	semidirect
58. C₂×C₅×#121	C₂²	semidirect
59. C₂×C₅×#120	C₂²	semidirect
60. C₂×C₅×#120	C₂²	semidirect
61. C₂×C₄×C₅×D₄	C₂²	semidirect
62. C₂×C₄×C₅×D₄	C₂²	semidirect
63. C₂×#4099	C₂²	semidirect
64. C₂×#4099	C₂²	semidirect
65. C₂²×C₂²⋊Dic₅	C₂²	semidirect
66. #66140	C₂²	semidirect
67. C₂×#4086	C₂²	semidirect
68. C₂×#4086	C₂²	semidirect
69. C₂×#4085	C₂²	semidirect
70. C₂×#4085	C₂²	semidirect
71. C₂×#4085	C₂²	semidirect
72. C₂×#4085	C₂²	semidirect
73. C₂×#4085	C₂²	semidirect
74. D₄×C₂²⋊D₅	C₂²	semidirect
75. D₄×C₂²⋊D₅	C₂²	semidirect
76. C₂×#4084	C₂²	semidirect
77. C₂×#4084	C₂²	semidirect
78. C₂×#4084	C₂²	semidirect
79. C₂×#4084	C₂²	semidirect
80. C₂×#4083	C₂²	semidirect
81. C₂×#4083	C₂²	semidirect
82. C₂×#4083	C₂²	semidirect
83. C₂×#4083	C₂²	semidirect
84. C₂×#4083	C₂²	semidirect
85. C₂×#4083	C₂²	semidirect
86. C₂×#4083	C₂²	semidirect
87. C₂×#4083	C₂²	semidirect
88. C₂×#4083	C₂²	semidirect
89. C₂×#4083	C₂²	semidirect
90. C₂×#4083	C₂²	semidirect
91. C₂×#4083	C₂²	semidirect
92. C₂×#4082	C₂²	semidirect
93. C₂×#4081	C₂²	semidirect
94. C₂×D₄×Dic₅	C₂²	semidirect
95. C₂×D₄×Dic₅	C₂²	semidirect
96. C₂×#4076	C₂²	semidirect
97. C₂×#4076	C₂²	semidirect
98. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
99. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
100. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
101. C₂²×#685	C₂²	semidirect
102. C₂²×#685	C₂²	semidirect
103. C₂×#4070	C₂²	semidirect
104. #66051	C₂²	semidirect
105. #66049	C₂²	semidirect
106. #65946	C₂²	semidirect
107. #65944	C₂²	semidirect
108. #65943	C₂²	semidirect
109. #65941	C₂²	semidirect
110. #65940	C₂²	semidirect
111. #65939	C₂²	semidirect
112. #65925	C₂²	semidirect
113. #65924	C₂²	semidirect
114. #65923	C₂²	semidirect
115. D₅×#120	C₂²	semidirect
116. #65888	C₂²	semidirect
117. #65884	C₂²	semidirect
118. #65881	C₂²	semidirect
119. #65879	C₂²	semidirect
120. C₂×#4043	C₂²	semidirect
121. C₂×#4042	C₂²	semidirect
122. C₂×#4041	C₂²	semidirect
123. C₂×#4040	C₂²	semidirect
124. C₂×#4040	C₂²	semidirect
125. C₂×#4039	C₂²	semidirect
126. C₂×#4038	C₂²	semidirect
127. C₂×#4032	C₂²	semidirect
128. C₂×#4031	C₂²	semidirect
129. C₂×#4030	C₂²	semidirect
130. C₂×#4030	C₂²	semidirect
131. C₂×#4030	C₂²	semidirect
132. C₂×#4029	C₂²	semidirect
133. C₂×#4029	C₂²	semidirect
134. C₂×#4029	C₂²	semidirect
135. C₂×#4028	C₂²	semidirect
136. C₂×#4028	C₂²	semidirect
137. C₂×#4028	C₂²	semidirect
138. C₂×#4028	C₂²	semidirect
139. C₂×#4027	C₂²	semidirect
140. C₂×#4027	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×#4018	C₂²	semidirect
151. C₂⁵×C₅	C₂³	semidirect
161. C₂⁴×D₅	C₂³	semidirect
162. C₂⁴×D₅	C₂³	semidirect
171. C₂²×C₅×D₄	C₂³	semidirect
172. C₂²×C₅×D₄	C₂³	semidirect
173. C₂²×C₅×D₄	C₂³	semidirect
174. C₂²×C₅×D₄	C₂³	semidirect
175. C₂²×C₅×D₄	C₂³	semidirect
176. C₂²×C₅×D₄	C₂³	semidirect
177. C₂²×C₅×D₄	C₂³	semidirect
178. C₂²×C₅×D₄	C₂³	semidirect
180. C₂³×C₄×C₅	C₂³	semidirect
181. C₂³×C₄×C₅	C₂³	semidirect
195. C₂²×C₂²⋊D₅	C₂³	semidirect
196. C₂²×C₂²⋊D₅	C₂³	semidirect
197. C₂²×C₂²⋊D₅	C₂³	semidirect
198. C₂²×C₂²⋊D₅	C₂³	semidirect
199. C₂²×C₂²⋊D₅	C₂³	semidirect
200. C₂²×C₂²⋊D₅	C₂³	semidirect
201. C₂²×C₂²⋊D₅	C₂³	semidirect
202. C₂²×C₂²⋊D₅	C₂³	semidirect
203. C₂²×C₂²⋊D₅	C₂³	semidirect
204. C₂²×C₂²⋊D₅	C₂³	semidirect
205. C₂²×C₂²⋊D₅	C₂³	semidirect
206. C₂²×C₂²⋊D₅	C₂³	semidirect
208. C₂³×Dic₅	C₂³	semidirect
209. C₂³×Dic₅	C₂³	semidirect
210. C₂³×Dic₅	C₂³	semidirect
215. C₂×#711	C₂³	semidirect
216. C₂×#711	C₂³	semidirect
217. C₂×#711	C₂³	semidirect
228. C₂×D₄×D₅	D₄	semidirect
230. C₂×D₄×D₅	C₂³	semidirect
231. C₂×D₄×D₅	C₂³	semidirect
232. C₂×D₄×D₅	C₂³	semidirect
233. C₂×D₄×D₅	C₂³	semidirect
234. C₂×D₄×D₅	C₂³	semidirect
235. C₂×D₄×D₅	C₂³	semidirect
236. C₂×D₄×D₅	C₂³	semidirect
237. C₂×D₄×D₅	C₂³	semidirect
238. C₂×D₄×D₅	C₂³	semidirect
241. C₂×#709	C₂³	semidirect
242. C₂×#709	C₂³	semidirect
249. C₂²×D₂₀	C₂³	semidirect
250. C₂²×D₂₀	C₂³	semidirect
256. C₂²×C₄×D₅	C₂³	semidirect
257. C₂²×C₄×D₅	C₂³	semidirect
258. C₂²×C₄×D₅	C₂³	semidirect
259. C₂²×C₄×D₅	C₂³	semidirect
260. C₂²×C₄×D₅	C₂³	semidirect
261. C₂²×Dic₁₀	C₂³	semidirect
262. C₂²×Dic₁₀	C₂³	semidirect
263. C₅×#127	C₂³	semidirect
264. C₅×#121	C₂³	semidirect
265. C₅×#121	C₂³	semidirect
266. C₅×#121	C₂³	semidirect
267. C₅×#120	C₂³	semidirect
268. C₅×#120	C₂³	semidirect
269. C₄×C₅×D₄	C₂³	semidirect
270. C₄×C₅×D₄	C₂³	semidirect
271. C₂×C₅×C₄⋊C₄	C₂³	semidirect
272. C₂×C₅×C₄⋊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×C₅×C₂²⋊C₄	C₂³	semidirect
278. C₂×C₄²×C₅	C₂³	semidirect
279. #4099	C₂³	semidirect
280. #4099	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. C₂×C₂²⋊Dic₅	C₂³	semidirect
288. C₂×C₂²⋊Dic₅	C₂³	semidirect
289. C₂×C₂²⋊Dic₅	C₂³	semidirect
290. #4086	C₂³	semidirect
291. #4086	C₂³	semidirect
292. #4085	C₂³	semidirect
293. #4085	C₂³	semidirect
294. #4085	C₂³	semidirect
295. #4085	C₂³	semidirect
296. #4085	C₂³	semidirect
297. #4084	C₂³	semidirect
298. #4084	C₂³	semidirect
299. #4084	C₂³	semidirect
300. #4084	C₂³	semidirect
301. #4083	C₂³	semidirect
302. #4083	C₂³	semidirect
303. #4083	C₂³	semidirect
304. #4083	C₂³	semidirect
305. #4083	C₂³	semidirect
306. #4083	C₂³	semidirect
307. #4083	C₂³	semidirect
308. #4083	C₂³	semidirect
309. #4083	C₂³	semidirect
310. #4083	C₂³	semidirect
311. #4083	C₂³	semidirect
312. #4082	C₂³	semidirect
313. #4081	C₂³	semidirect
314. D₄×Dic₅	C₂³	semidirect
315. D₄×Dic₅	C₂³	semidirect
316. #4076	C₂³	semidirect
317. #4076	C₂³	semidirect
318. C₄×C₂²⋊D₅	C₂³	semidirect
319. C₄×C₂²⋊D₅	C₂³	semidirect
320. C₄×C₂²⋊D₅	C₂³	semidirect
327. C₂×#685	C₂³	semidirect
328. C₂×#685	C₂³	semidirect
329. C₂×#685	C₂³	semidirect
330. C₂×#685	C₂³	semidirect
331. C₂×#685	C₂³	semidirect
332. C₂×#685	C₂³	semidirect
333. C₂×#685	C₂³	semidirect
334. C₂×#685	C₂³	semidirect
335. C₂×#685	C₂³	semidirect
336. C₂×#685	C₂³	semidirect
337. C₂×C₄⋊Dic₅	C₂³	semidirect
338. C₂×C₄⋊Dic₅	C₂³	semidirect
339. C₂×C₄⋊Dic₅	C₂³	semidirect
340. #4070	C₂³	semidirect
341. C₂×#683	C₂³	semidirect
342. C₂×#683	C₂³	semidirect
343. C₂×#683	C₂³	semidirect
344. C₂×#683	C₂³	semidirect
345. C₂×#683	C₂³	semidirect
346. C₂×C₄×Dic₅	C₂³	semidirect
347. C₂×C₄×Dic₅	C₂³	semidirect
348. #4043	C₂³	semidirect
349. #4042	C₂³	semidirect
350. #4041	C₂³	semidirect
351. #4040	C₂³	semidirect
352. #4040	C₂³	semidirect
353. #4039	C₂³	semidirect
354. #4038	C₂³	semidirect
355. #4032	C₂³	semidirect
356. #4031	C₂³	semidirect
357. #4030	C₂³	semidirect
358. #4030	C₂³	semidirect
359. #4030	C₂³	semidirect
360. #4029	C₂³	semidirect
361. #4029	C₂³	semidirect
362. #4029	C₂³	semidirect
363. #4028	C₂³	semidirect
364. #4028	C₂³	semidirect
365. #4028	C₂³	semidirect
366. #4028	C₂³	semidirect
367. #4027	C₂³	semidirect
368. #4027	C₂³	semidirect
369. D₅×C₂²⋊C₄	C₂³	semidirect
370. D₅×C₂²⋊C₄	C₂³	semidirect
371. D₅×C₂²⋊C₄	C₂³	semidirect
372. #4024	C₂³	semidirect
373. #4021	C₂³	semidirect
374. C₄×D₂₀	C₂³	semidirect
375. C₄×D₂₀	C₂³	semidirect
376. #4018	C₂³	semidirect
391. C₂×D₄²	D₅	semidirect
413. C₂⁴×C₅	C₂⁴	semidirect
438. C₂³×D₅	C₂×D₄	semidirect
450. C₂³×D₅	C₂⁴	semidirect
463. C₂×C₅×D₄	C₂×D₄	semidirect
469. C₂×C₅×D₄	C₂⁴	semidirect
470. C₂×C₅×D₄	C₂⁴	semidirect
471. C₂×C₅×D₄	C₂⁴	semidirect
472. C₂×C₅×D₄	C₂⁴	semidirect
473. C₂×C₅×D₄	C₂⁴	semidirect
484. C₂²×C₄×C₅	C₂⁴	semidirect
485. C₂²×C₄×C₅	C₂⁴	semidirect
506. C₂×C₂²⋊D₅	C₂×D₄	semidirect
516. C₂×C₂²⋊D₅	C₂⁴	semidirect
517. C₂×C₂²⋊D₅	C₂⁴	semidirect
518. C₂×C₂²⋊D₅	C₂⁴	semidirect
519. C₂×C₂²⋊D₅	C₂⁴	semidirect
520. C₂×C₂²⋊D₅	C₂⁴	semidirect
521. C₂×C₂²⋊D₅	C₂⁴	semidirect
522. C₂×C₂²⋊D₅	C₂⁴	semidirect
523. C₂×C₂²⋊D₅	C₂⁴	semidirect
536. C₂²×Dic₅	C₂⁴	semidirect
537. C₂²×Dic₅	C₂⁴	semidirect
538. C₂²×Dic₅	C₂⁴	semidirect
551. D₄×D₅	C₂×D₄	semidirect
560. C₂×D₂₀	C₂×D₄	semidirect
566. C₂×D₂₀	C₂⁴	semidirect
575. C₂×C₄×D₅	C₂×D₄	semidirect
580. C₂×C₄×D₅	C₂⁴	semidirect
581. C₂×C₄×D₅	C₂⁴	semidirect
582. C₂×C₄×D₅	C₂⁴	semidirect
583. C₂×C₄×D₅	C₂⁴	semidirect
586. C₂×Dic₁₀	C₂⁴	semidirect
587. C₂×Dic₁₀	C₂⁴	semidirect
588. C₅×C₄⋊C₄	C₂⁴	semidirect
589. C₅×C₄⋊C₄	C₂⁴	semidirect
591. C₅×C₂²⋊C₄	C₂⁴	semidirect
592. C₅×C₂²⋊C₄	C₂⁴	semidirect
593. C₅×C₂²⋊C₄	C₂⁴	semidirect
594. C₅×C₂²⋊C₄	C₂⁴	semidirect
595. C₄²×C₅	C₂⁴	semidirect
598. C₂²⋊Dic₅	C₂⁴	semidirect
599. C₂²⋊Dic₅	C₂⁴	semidirect
600. C₂²⋊Dic₅	C₂⁴	semidirect
601. C₂²⋊Dic₅	C₂⁴	semidirect
602. C₂²⋊Dic₅	C₂⁴	semidirect
603. C₂²⋊Dic₅	C₂⁴	semidirect
610. #685	C₂⁴	semidirect
611. #685	C₂⁴	semidirect
612. #685	C₂⁴	semidirect
613. #685	C₂⁴	semidirect
614. #685	C₂⁴	semidirect
615. #685	C₂⁴	semidirect
616. #685	C₂⁴	semidirect
617. #685	C₂⁴	semidirect
618. C₄⋊Dic₅	C₂⁴	semidirect
619. C₄⋊Dic₅	C₂⁴	semidirect
620. C₄⋊Dic₅	C₂⁴	semidirect
621. #683	C₂⁴	semidirect
622. #683	C₂⁴	semidirect
623. #683	C₂⁴	semidirect
624. #683	C₂⁴	semidirect
625. #683	C₂⁴	semidirect
626. C₄×Dic₅	C₂⁴	semidirect
627. C₄×Dic₅	C₂⁴	semidirect
653. C₂³×D₄	C₂×D₅	semidirect
654. C₂³×D₄	C₂×D₅	semidirect
655. C₂³×D₄	C₂×D₅	semidirect
668. D₄²	C₂×D₅	semidirect
675. C₂×#127	C₂×D₅	semidirect
707. C₂×#121	C₂×D₅	semidirect
708. C₂×#121	C₂×D₅	semidirect
709. C₂×#121	C₂×D₅	semidirect
729. C₂×#120	C₂×D₅	semidirect
730. C₂×#120	C₂×D₅	semidirect
742. C₂×C₄×D₄	C₂×D₅	semidirect
743. C₂×C₄×D₄	C₂×D₅	semidirect
774. C₂³×C₅	H(5,𝔽₂)	semidirect
823. C₂²×D₅	C₂²×D₄	semidirect
824. C₂²×D₅	H(5,𝔽₂)	semidirect
839. C₅×D₄	C₂²×D₄	semidirect
871. C₂²⋊D₅	C₂²×D₄	semidirect
895. D₂₀	C₂²×D₄	semidirect
903. C₄×D₅	C₂²×D₄	semidirect
918. C₂⁵	C₂²×D₅	semidirect
994. C₂²×D₄	C₂²×D₅	semidirect
995. C₂²×D₄	C₂²×D₅	semidirect
996. C₂²×D₄	C₂²×D₅	semidirect
997. C₂²×D₄	C₂²×D₅	semidirect
998. C₂²×D₄	C₂²×D₅	semidirect
999. C₂²×D₄	C₂²×D₅	semidirect
1000. C₂²×D₄	C₂²×D₅	semidirect
1001. C₂²×D₄	C₂²×D₅	semidirect
1017. C₂³×C₄	C₂²×D₅	semidirect
1018. C₂³×C₄	C₂²×D₅	semidirect
1021. #127	C₂²×D₅	semidirect
1051. #121	C₂²×D₅	semidirect
1052. #121	C₂²×D₅	semidirect
1053. #121	C₂²×D₅	semidirect
1071. #120	C₂²×D₅	semidirect
1072. #120	C₂²×D₅	semidirect
1083. C₄×D₄	C₂²×D₅	semidirect
1084. C₄×D₄	C₂²×D₅	semidirect
1095. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1096. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1126. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1127. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1128. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1129. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1132. C₂×C₄²	C₂²×D₅	semidirect
1157. C₂²×C₅	C₂×H(5,𝔽₂)	semidirect
1185. C₂×D₅	C₂×H(5,𝔽₂)	semidirect
1248. C₂⁴	C₂³×D₅	semidirect
1331. C₂×D₄	D₄×D₅	semidirect
1337. C₂×D₄	C₂³×D₅	semidirect
1338. C₂×D₄	C₂³×D₅	semidirect
1339. C₂×D₄	C₂³×D₅	semidirect
1340. C₂×D₄	C₂³×D₅	semidirect
1341. C₂×D₄	C₂³×D₅	semidirect
1384. C₂²×C₄	C₂³×D₅	semidirect
1385. C₂²×C₄	C₂³×D₅	semidirect
1394. C₄⋊C₄	C₂³×D₅	semidirect
1395. C₄⋊C₄	C₂³×D₅	semidirect
1419. C₂²⋊C₄	C₂³×D₅	semidirect
1420. C₂²⋊C₄	C₂³×D₅	semidirect
1421. C₂²⋊C₄	C₂³×D₅	semidirect
1422. C₂²⋊C₄	C₂³×D₅	semidirect
1425. C₄²	C₂³×D₅	semidirect
1431. C₂×C₅	#3484	semidirect
1511. C₂³	#4144	semidirect
1552. D₄	C₂×D₄×D₅	semidirect
1594. C₅	C₂×#3484	semidirect
1645. C₂²	C₂×#4144	semidirect
1671. C₂	#10618521	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×#4144	2
C₂³×D₄×D₅	2
C₂×C₅×D₄²	2
C₂×D₄×C₂²⋊D₅	2
C₂²×#4083	2
C₂×#66140	2
#10618521	2
C₂×#66051	2
C₂×#66049	2
C₂×#65946	2
C₂×#65944	2
C₂×#65943	2
C₂×#65941	2
C₂×#65939	2
C₂×#65940	2
C₂×#65925	2
C₂×#65924	2
C₂×#65923	2
C₂×D₅×#120	2
C₂×#65884	2
C₂×#65888	2
C₂×#65881	2
C₂×#65879	2
C₂×#3484	5

Subgroups — C2×#10618521 #13007176

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618521 #13007176