Subgroups — C₂×#10618319 #13006416

Order 1280.

9542 conjugacy classes of subgroups.

The subgroup lattice has 2308 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618319	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66045	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66039	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66038	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#66038	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#66017	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66010	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66012	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66008	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#66000	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65988	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65991	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65987	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65971	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65964	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65954	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65944	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65943	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65943	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65941	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65939	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65923	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₅×#120	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×D₅×#120	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#65926	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#65890	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#65884	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#65888	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×D₄×D₂₀	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65828	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#4028	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂⁵×D₅	C₂²	1	1	yes	characteristic, complemented
34	C₂³×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#713	C₂²	1	1	yes	characteristic, complemented
36	C₂²×#711	C₂²	1	1	yes	characteristic, complemented
37	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
38	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
41	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
42	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
43	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
44	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
46	C₂³×D₂₀	C₂²	1	1	yes	characteristic, complemented
47	C₂³×D₂₀	C₂²	1	1	yes	characteristic, complemented
48	C₂³×D₂₀	C₂²	1	1	yes	characteristic, complemented
49	C₅×#538	C₂²	1	16	yes	complemented
50	C₂×C₅×#126	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₅×#126	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₅×#120	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₅×#120	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
64	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
65	C₂×#4099	C₂²	1	1	yes	characteristic, complemented
66	C₂×#4099	C₂²	1	1	yes	characteristic, complemented
67	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
68	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
69	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
70	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
71	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
72	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
73	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
74	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
75	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
76	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
77	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
78	C₂×#4083	C₂²	1	1	yes	characteristic
79	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
80	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
82	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
83	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
84	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
85	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
86	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
87	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
88	C₂×#4081	C₂²	1	1	yes	characteristic, complemented
89	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
90	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
91	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
92	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
93	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
97	C₂²×#685	C₂²	1	1	yes	characteristic, complemented
98	C₂²×#685	C₂²	1	1	yes	characteristic, complemented
99	C₂²×#685	C₂²	1	1	yes	characteristic, complemented
100	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
101	#66045	C₂²	1	16	yes	complemented
102	#66039	C₂²	1	16	yes	complemented
103	#66038	C₂²	1	16	yes	complemented
104	#66038	C₂²	1	16	yes	complemented
105	#66017	C₂²	1	16	yes	complemented
106	#66012	C₂²	1	16	yes	complemented
107	#66010	C₂²	1	16	yes	complemented
108	#66008	C₂²	1	16	yes	complemented
109	#66000	C₂²	1	16	yes	complemented
110	#65991	C₂²	1	16	yes	complemented
111	#65988	C₂²	1	16	yes	complemented
112	#65987	C₂²	1	16	yes	complemented
113	#65971	C₂²	1	16	yes	complemented
114	#65964	C₂²	1	16	yes	complemented
115	#65954	C₂²	1	16	yes	complemented
116	#65944	C₂²	1	16	yes	complemented
117	#65943	C₂²	1	16	yes	complemented
118	#65943	C₂²	1	16	yes	complemented
119	#65941	C₂²	1	16	yes	complemented
120	#65939	C₂²	1	16	yes	complemented
121	#65926	C₂²	1	16	yes	complemented
122	#65923	C₂²	1	16	yes	complemented
123	D₅×#120	C₂²	1	16	yes	complemented
124	D₅×#120	C₂²	1	16	yes	complemented
125	#65890	C₂²	1	16	yes	complemented
126	#65888	C₂²	1	16	yes	complemented
127	#65884	C₂²	1	16	yes	complemented
128	D₄×D₂₀	C₂²	1	16	yes	complemented
129	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
130	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
132	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
133	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
134	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
135	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
136	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
137	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
138	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
139	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
140	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
141	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
142	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
143	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
144	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
145	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
146	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
147	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
148	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
149	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
150	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
151	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
152	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
153	#65828	C₂²	1	16	yes	complemented
154	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
155	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
156	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
157	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
158	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
159	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
160	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
161	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
162	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
163	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
164	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
165	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
166	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
167	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
168	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
169	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
170	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
171	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
172	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
173	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
174	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
175	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
176	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
177	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
178	C₂×#4028	C₂²	1	1	yes	characteristic
179	C₂×#4028	C₂²	1	1	yes	characteristic
180	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
181	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
182	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
183	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
184	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
185	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
186	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
187	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
188	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
189	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
190	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
191	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
192	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
193	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
194	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
195	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
196	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
197	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
198	C₂×#4028	C₂²	1	16	yes	complemented
199	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
200	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
201	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
202	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
203	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
204	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
205	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
206	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
207	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
208	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
209	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
210	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
211	C₂×#4022	C₂²	1	1	yes	characteristic, complemented
212	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
213	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
214	C₂×#4020	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
216	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
218	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3532	—	5	1	no	maximal, Sylow
220	C₂⁵×C₅	C₂³	1	1	yes	characteristic
221	C₂⁴×D₅	—	4	4	no	—
222	C₂⁴×D₅	—	4	4	no	—
223	C₂⁴×D₅	—	4	4	no	—
224	C₂⁴×D₅	C₂³	1	1	yes	characteristic
225	C₂⁴×D₅	C₂³	1	1	yes	characteristic
226	C₂⁴×D₅	C₂³	1	1	yes	characteristic
227	C₂⁴×D₅	C₂³	1	1	yes	characteristic
228	C₂⁴×D₅	C₂³	1	1	yes	characteristic
229	C₂⁴×D₅	C₂³	1	1	yes	characteristic
230	C₂⁴×D₅	C₂³	1	1	yes	characteristic
231	C₂⁴×D₅	C₂³	1	1	yes	characteristic
232	C₂⁴×D₅	C₂³	1	1	yes	characteristic
233	C₂⁴×D₅	C₂³	1	8	yes	complemented
234	C₂⁴×D₅	C₂³	1	1	yes	characteristic, complemented
235	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
236	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
239	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
240	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
243	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
244	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
245	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic, complemented
246	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic, complemented
247	C₂²×C₂²⋊D₅	—	4	4	no	—
248	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
254	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
255	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
256	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
257	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
258	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
259	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
260	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
261	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
262	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
263	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
264	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
265	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic, complemented
266	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic, complemented
267	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic, complemented
268	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic, complemented
269	C₂³×Dic₅	C₂³	1	1	yes	characteristic
270	C₂³×Dic₅	C₂³	1	1	yes	characteristic, complemented
271	C₂×#713	—	4	4	no	—
272	C₂×#713	C₂³	1	8	yes	complemented
273	C₂×#711	—	4	4	no	—
274	C₂×#711	C₂³	1	8	yes	complemented
275	C₂×D₄×D₅	—	4	4	no	—
276	C₂×D₄×D₅	—	4	4	no	—
277	C₂×D₄×D₅	—	4	4	no	—
278	C₂×D₄×D₅	—	4	4	no	—
279	C₂×D₄×D₅	—	4	4	no	—
280	C₂×D₄×D₅	—	4	4	no	—
281	C₂×D₄×D₅	—	4	4	no	—
282	C₂×D₄×D₅	—	4	4	no	—
283	C₂×D₄×D₅	C₂³	1	8	yes	complemented
284	C₂×D₄×D₅	C₂³	1	8	yes	complemented
285	C₂×D₄×D₅	C₂³	1	8	yes	complemented
286	C₂×D₄×D₅	C₂³	1	8	yes	complemented
287	C₂×D₄×D₅	C₂³	1	8	yes	complemented
288	C₂×D₄×D₅	C₂³	1	8	yes	complemented
289	C₂×D₄×D₅	C₂³	1	8	yes	complemented
290	C₂×D₄×D₅	C₂³	1	8	yes	complemented
291	C₂×#709	—	4	4	no	—
292	C₂×#709	C₂³	1	8	yes	complemented
293	C₂²×D₂₀	—	4	4	no	—
294	C₂²×D₂₀	—	4	4	no	—
295	C₂²×D₂₀	—	4	4	no	—
296	C₂²×D₂₀	C₂³	1	1	yes	characteristic
297	C₂²×D₂₀	C₂³	1	1	yes	characteristic
298	C₂²×D₂₀	C₂³	1	1	yes	characteristic
299	C₂²×D₂₀	C₂³	1	1	yes	characteristic
300	C₂²×D₂₀	C₂³	1	1	yes	characteristic
301	C₂²×D₂₀	C₂³	1	1	yes	characteristic
302	C₂²×D₂₀	C₂³	1	1	yes	characteristic
303	C₂²×D₂₀	C₂³	1	1	yes	characteristic
304	C₂²×D₂₀	C₂³	1	1	yes	characteristic
305	C₂²×D₂₀	C₂³	1	1	yes	characteristic
306	C₂²×D₂₀	C₂³	1	1	yes	characteristic
307	C₂²×D₂₀	C₂³	1	1	yes	characteristic
308	C₂²×D₂₀	C₂³	1	1	yes	characteristic
309	C₂²×D₂₀	C₂³	1	1	yes	characteristic
310	C₂²×D₂₀	C₂³	1	8	yes	complemented
311	C₂²×D₂₀	C₂³	1	8	yes	complemented
312	C₂²×D₂₀	C₂³	1	8	yes	complemented
313	C₂²×D₂₀	C₂³	1	1	yes	characteristic, complemented
314	C₂²×D₂₀	C₂³	1	1	yes	characteristic, complemented
315	C₂²×D₂₀	C₂³	1	1	yes	characteristic, complemented
316	C₂²×D₂₀	C₂³	1	1	yes	characteristic, complemented
317	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
318	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
319	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
320	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
321	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
322	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
324	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
325	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
326	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
327	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
328	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic, complemented
329	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
330	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
331	C₅×#126	C₂³	1	8	yes	complemented
332	C₅×#126	C₂³	1	8	yes	complemented
333	C₅×#124	C₂³	1	8	yes	complemented
334	C₅×#124	C₂³	1	8	yes	complemented
335	C₅×#123	C₂³	1	8	yes	complemented
336	C₅×#123	C₂³	1	8	yes	complemented
337	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
338	C₅×#121	C₂³	1	8	yes	complemented
339	C₅×#121	C₂³	1	8	yes	complemented
340	C₅×#121	C₂³	1	8	yes	complemented
341	C₅×#120	C₂³	1	8	yes	complemented
342	C₅×#120	C₂³	1	8	yes	complemented
343	C₄×C₅×D₄	C₂³	1	8	yes	complemented
344	C₄×C₅×D₄	C₂³	1	8	yes	complemented
345	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
347	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
348	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
349	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
350	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
351	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
353	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
359	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
360	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
361	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
362	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
363	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
364	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
365	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
366	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
367	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
368	#4099	C₂³	1	8	yes	complemented
369	#4099	C₂³	1	8	yes	complemented
370	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
377	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
378	#4093	C₂³	1	8	yes	complemented
379	#4093	C₂³	1	8	yes	complemented
380	#4092	C₂³	1	8	yes	complemented
381	#4086	C₂³	1	8	yes	complemented
382	#4086	C₂³	1	8	yes	complemented
383	#4086	C₂³	1	8	yes	complemented
384	#4085	C₂³	1	8	yes	complemented
385	#4085	C₂³	1	8	yes	complemented
386	#4085	C₂³	1	8	yes	complemented
387	#4084	C₂³	1	8	yes	complemented
388	#4084	C₂³	1	8	yes	complemented
389	#4083	C₂³	1	8	yes	—
390	#4083	C₂³	1	8	yes	complemented
391	#4083	C₂³	1	8	yes	complemented
392	#4083	C₂³	1	8	yes	complemented
393	#4083	C₂³	1	8	yes	complemented
394	#4083	C₂³	1	8	yes	complemented
395	#4083	C₂³	1	8	yes	complemented
396	#4083	C₂³	1	8	yes	complemented
397	#4083	C₂³	1	8	yes	complemented
398	#4083	C₂³	1	8	yes	complemented
399	#4081	C₂³	1	8	yes	complemented
400	#4076	C₂³	1	8	yes	complemented
401	#4076	C₂³	1	8	yes	complemented
402	#4076	C₂³	1	8	yes	complemented
403	#4076	C₂³	1	8	yes	complemented
404	#4075	C₂³	1	8	yes	complemented
405	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
406	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
407	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
408	C₂×#685	C₂³	1	1	yes	characteristic
409	C₂×#685	C₂³	1	1	yes	characteristic
410	C₂×#685	C₂³	1	1	yes	characteristic
411	C₂×#685	C₂³	1	1	yes	characteristic
412	C₂×#685	C₂³	1	1	yes	characteristic
413	C₂×#685	C₂³	1	1	yes	characteristic
414	C₂×#685	C₂³	1	1	yes	characteristic
415	C₂×#685	C₂³	1	1	yes	characteristic
416	C₂×#685	C₂³	1	1	yes	characteristic
417	C₂×#685	C₂³	1	1	yes	characteristic
418	C₂×#685	C₂³	1	1	yes	characteristic
419	C₂×#685	C₂³	1	1	yes	characteristic
420	C₂×#685	C₂³	1	1	yes	characteristic
421	C₂×#685	C₂³	1	1	yes	characteristic
422	C₂×#685	C₂³	1	1	yes	characteristic
423	C₂×#685	C₂³	1	1	yes	characteristic
424	C₂×#685	C₂³	1	1	yes	characteristic
425	C₂×#685	C₂³	1	1	yes	characteristic
426	C₂×#685	C₂³	1	1	yes	characteristic
427	C₂×#685	C₂³	1	1	yes	characteristic
428	C₂×#685	C₂³	1	8	yes	complemented
429	C₂×#685	C₂³	1	8	yes	complemented
430	C₂×#685	C₂³	1	8	yes	complemented
431	C₂×#685	C₂³	1	1	yes	characteristic, complemented
432	C₂×#685	C₂³	1	1	yes	characteristic, complemented
433	C₂×#685	C₂³	1	1	yes	characteristic, complemented
434	C₂×#685	C₂³	1	1	yes	characteristic, complemented
435	C₂×#685	C₂³	1	1	yes	characteristic, complemented
436	C₂×#685	C₂³	1	1	yes	characteristic, complemented
437	C₂×#685	C₂³	1	1	yes	characteristic, complemented
438	C₂×#685	C₂³	1	1	yes	characteristic, complemented
439	C₂×#685	C₂³	1	1	yes	characteristic, complemented
440	C₂×#685	C₂³	1	1	yes	characteristic, complemented
441	C₂×#685	C₂³	1	1	yes	characteristic, complemented
442	C₂×#685	C₂³	1	1	yes	characteristic, complemented
443	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
444	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
445	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
446	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
447	#4070	C₂³	1	8	yes	complemented
448	C₂×#683	C₂³	1	1	yes	characteristic, complemented
449	C₂×#683	C₂³	1	1	yes	characteristic, complemented
450	C₂×#683	C₂³	1	1	yes	characteristic, complemented
451	C₂×#683	C₂³	1	1	yes	characteristic, complemented
452	C₂×#683	C₂³	1	1	yes	characteristic, complemented
453	C₂×#683	C₂³	1	1	yes	characteristic, complemented
454	C₂×#683	C₂³	1	1	yes	characteristic, complemented
455	C₂×#683	C₂³	1	1	yes	characteristic, complemented
456	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
457	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
458	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
459	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
460	#4044	C₂³	1	8	yes	complemented
461	#4044	C₂³	1	8	yes	complemented
462	#4044	C₂³	1	8	yes	complemented
463	#4043	C₂³	1	8	yes	complemented
464	#4042	C₂³	1	8	yes	complemented
465	#4042	C₂³	1	8	yes	complemented
466	#4041	C₂³	1	8	yes	complemented
467	#4041	C₂³	1	8	yes	complemented
468	#4041	C₂³	1	8	yes	complemented
469	#4041	C₂³	1	8	yes	complemented
470	#4041	C₂³	1	8	yes	complemented
471	#4041	C₂³	1	8	yes	complemented
472	#4041	C₂³	1	8	yes	complemented
473	#4040	C₂³	1	8	yes	complemented
474	#4040	C₂³	1	8	yes	complemented
475	#4040	C₂³	1	8	yes	complemented
476	#4040	C₂³	1	8	yes	complemented
477	#4040	C₂³	1	8	yes	complemented
478	#4040	C₂³	1	8	yes	complemented
479	#4040	C₂³	1	8	yes	complemented
480	#4039	C₂³	1	8	yes	complemented
481	#4039	C₂³	1	8	yes	complemented
482	#4039	C₂³	1	8	yes	complemented
483	#4038	C₂³	1	8	yes	complemented
484	#4032	C₂³	1	8	yes	complemented
485	#4032	C₂³	1	8	yes	complemented
486	#4031	C₂³	1	8	yes	complemented
487	#4031	C₂³	1	8	yes	complemented
488	#4031	C₂³	1	8	yes	complemented
489	#4031	C₂³	1	8	yes	complemented
490	#4031	C₂³	1	8	yes	complemented
491	#4031	C₂³	1	8	yes	complemented
492	#4030	C₂³	1	8	yes	complemented
493	#4030	C₂³	1	8	yes	complemented
494	#4030	C₂³	1	8	yes	complemented
495	#4030	C₂³	1	8	yes	complemented
496	#4030	C₂³	1	8	yes	complemented
497	#4030	C₂³	1	8	yes	complemented
498	#4030	C₂³	1	8	yes	complemented
499	#4030	C₂³	1	8	yes	complemented
500	#4030	C₂³	1	8	yes	complemented
501	#4030	C₂³	1	8	yes	complemented
502	#4030	C₂³	1	8	yes	complemented
503	#4029	C₂³	1	8	yes	complemented
504	#4029	C₂³	1	8	yes	complemented
505	#4029	C₂³	1	8	yes	complemented
506	#4029	C₂³	1	8	yes	complemented
507	#4029	C₂³	1	8	yes	complemented
508	#4028	C₂³	1	8	yes	—
509	#4028	C₂³	1	8	yes	—
510	#4028	C₂³	1	8	yes	complemented
511	#4028	C₂³	1	8	yes	complemented
512	#4028	C₂³	1	8	yes	complemented
513	#4028	C₂³	1	8	yes	complemented
514	#4028	C₂³	1	8	yes	complemented
515	#4028	C₂³	1	8	yes	complemented
516	#4028	C₂³	1	8	yes	complemented
517	#4028	C₂³	1	8	yes	complemented
518	#4028	C₂³	1	8	yes	complemented
519	#4028	C₂³	1	8	yes	complemented
520	#4028	C₂³	1	8	yes	complemented
521	#4028	C₂³	1	8	yes	complemented
522	#4028	C₂³	1	8	yes	complemented
523	#4028	C₂³	1	8	yes	complemented
524	#4028	C₂³	1	8	yes	complemented
525	#4028	C₂³	1	8	yes	complemented
526	#4028	C₂³	1	8	yes	complemented
527	#4028	C₂³	1	8	yes	complemented
528	#4027	C₂³	1	8	yes	complemented
529	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
530	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
531	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
532	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
533	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
534	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
535	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
536	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
537	#4025	C₂³	1	8	yes	complemented
538	#4025	C₂³	1	8	yes	complemented
539	#4023	C₂³	1	8	yes	complemented
540	#4022	C₂³	1	8	yes	complemented
541	#4021	C₂³	1	8	yes	complemented
542	#4021	C₂³	1	8	yes	complemented
543	#4020	C₂³	1	8	yes	complemented
544	C₄×D₂₀	C₂³	1	8	yes	complemented
545	C₄×D₂₀	C₂³	1	8	yes	complemented
546	C₄×D₂₀	C₂³	1	8	yes	complemented
547	#4018	C₂³	1	8	yes	complemented
548	#3532	—	5	32	no	—
549	C₂×H(3,𝔽₄)	—	5	1	no	—
550	C₂×#560	—	5	1	no	—
551	C₂×#560	—	5	1	no	—
552	C₂×#560	—	5	1	no	—
553	C₂×#551	—	5	1	no	—
554	C₂×#551	—	5	1	no	—
555	C₂×#551	—	5	1	no	—
556	C₂×#546	—	5	1	no	—
557	C₂×#546	—	5	1	no	—
558	C₂×#546	—	5	1	no	—
559	C₂×#546	—	5	1	no	—
560	C₂×#546	—	5	1	no	—
561	C₂×#546	—	5	1	no	—
562	C₂×D₄²	—	5	1	no	—
563	C₂×D₄²	—	5	1	no	—
564	C₂×D₄²	—	5	1	no	—
565	C₂×#538	—	5	1	no	—
566	C₂×#538	—	5	1	no	—
567	C₂×#538	—	5	1	no	—
568	C₂×#538	—	5	1	no	—
569	C₂×#538	—	5	1	no	—
570	C₂×#538	D₅	1	1	yes	characteristic, complemented
571	C₂×#535	—	5	1	no	—
572	C₂×#535	—	5	1	no	—
573	C₂×#535	—	5	1	no	—
574	C₂×#534	—	5	1	no	—
575	C₂×#534	—	5	1	no	—
576	C₂×#534	—	5	1	no	—
577	C₂²×#120	—	5	1	no	—
578	C₂²×#120	—	5	1	no	—
579	C₂²×#120	—	5	1	no	—
580	C₂⁴×C₅	—	2	4	no	—
581	C₂⁴×C₅	—	4	2	no	—
582	C₂⁴×C₅	—	4	2	no	—
583	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
584	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
585	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
586	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
587	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
588	C₂⁴×C₅	C₂⁴	1	4	yes	—
589	C₂³×D₅	—	2	4	no	—
590	C₂³×D₅	—	2	4	no	—
591	C₂³×D₅	—	2	4	no	—
592	C₂³×D₅	—	2	4	no	—
593	C₂³×D₅	—	2	4	no	—
594	C₂³×D₅	—	2	4	no	—
595	C₂³×D₅	—	2	4	no	—
596	C₂³×D₅	—	2	4	no	—
597	C₂³×D₅	—	2	4	no	—
598	C₂³×D₅	—	2	4	no	—
599	C₂³×D₅	—	2	4	no	—
600	C₂³×D₅	—	4	16	no	—
601	C₂³×D₅	—	4	16	no	—
602	C₂³×D₅	—	4	2	no	—
603	C₂³×D₅	—	4	2	no	—
604	C₂³×D₅	—	4	2	no	—
605	C₂³×D₅	—	4	2	no	—
606	C₂³×D₅	—	4	2	no	—
607	C₂³×D₅	—	4	2	no	—
608	C₂³×D₅	—	4	2	no	—
609	C₂³×D₅	—	4	2	no	—
610	C₂³×D₅	—	4	2	no	—
611	C₂³×D₅	—	4	2	no	—
612	C₂³×D₅	—	4	16	no	—
613	C₂³×D₅	—	4	2	no	—
614	C₂³×D₅	—	4	2	no	—
615	C₂³×D₅	—	4	2	no	—
616	C₂³×D₅	—	4	2	no	—
617	C₂³×D₅	—	4	2	no	—
618	C₂³×D₅	—	4	2	no	—
619	C₂³×D₅	—	4	2	no	—
620	C₂³×D₅	—	4	2	no	—
621	C₂³×D₅	—	4	2	no	—
622	C₂³×D₅	—	4	64	no	—
623	C₂³×D₅	C₂⁴	1	1	yes	characteristic
624	C₂³×D₅	C₂⁴	1	1	yes	characteristic
625	C₂³×D₅	C₂⁴	1	1	yes	characteristic
626	C₂³×D₅	C₂⁴	1	1	yes	characteristic
627	C₂³×D₅	C₂⁴	1	1	yes	characteristic
628	C₂³×D₅	C₂⁴	1	1	yes	characteristic
629	C₂³×D₅	C₂⁴	1	4	yes	—
630	C₂³×D₅	C₂⁴	1	4	yes	—
631	C₂³×D₅	C₂⁴	1	4	yes	—
632	C₂³×D₅	C₂⁴	1	1	yes	characteristic
633	C₂³×D₅	C₂⁴	1	1	yes	characteristic
634	C₂³×D₅	C₂⁴	1	4	yes	—
635	C₂³×D₅	C₂⁴	1	4	yes	—
636	C₂³×D₅	C₂⁴	1	4	yes	—
637	C₂³×D₅	C₂⁴	1	4	yes	—
638	C₂³×D₅	C₂⁴	1	4	yes	—
639	C₂³×D₅	C₂⁴	1	4	yes	—
640	C₂³×D₅	C₂⁴	1	4	yes	complemented
641	C₂×C₅×Q₈	—	4	2	no	—
642	C₂×C₅×Q₈	C₂⁴	1	4	yes	complemented
643	C₂×C₅×D₄	—	2	4	no	—
644	C₂×C₅×D₄	—	2	4	no	—
645	C₂×C₅×D₄	—	4	2	no	—
646	C₂×C₅×D₄	—	4	2	no	—
647	C₂×C₅×D₄	—	4	2	no	—
648	C₂×C₅×D₄	—	4	2	no	—
649	C₂×C₅×D₄	—	4	2	no	—
650	C₂×C₅×D₄	C₂⁴	1	4	yes	—
651	C₂×C₅×D₄	C₂⁴	1	4	yes	—
652	C₂×C₅×D₄	C₂⁴	1	4	yes	—
653	C₂×C₅×D₄	C₂⁴	1	4	yes	—
654	C₂×C₅×D₄	C₂⁴	1	4	yes	—
655	C₂×C₅×D₄	C₂⁴	1	4	yes	—
656	C₂×C₅×D₄	C₂⁴	1	4	yes	complemented
657	C₂²×C₄×C₅	—	4	2	no	—
658	C₂²×C₄×C₅	—	4	2	no	—
659	C₂²×C₄×C₅	—	4	2	no	—
660	C₂²×C₄×C₅	—	4	2	no	—
661	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
662	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
663	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
664	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
665	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
666	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
667	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
668	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
669	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
670	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
671	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
672	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
673	C₂²×C₄×C₅	C₂⁴	1	4	yes	complemented
674	C₂²×C₄×C₅	C₂⁴	1	4	yes	complemented
675	C₂×C₂²⋊D₅	—	2	4	no	—
676	C₂×C₂²⋊D₅	—	2	4	no	—
677	C₂×C₂²⋊D₅	—	2	4	no	—
678	C₂×C₂²⋊D₅	—	2	4	no	—
679	C₂×C₂²⋊D₅	—	4	2	no	—
680	C₂×C₂²⋊D₅	—	4	2	no	—
681	C₂×C₂²⋊D₅	—	4	2	no	—
682	C₂×C₂²⋊D₅	—	4	2	no	—
683	C₂×C₂²⋊D₅	—	4	2	no	—
684	C₂×C₂²⋊D₅	—	4	2	no	—
685	C₂×C₂²⋊D₅	—	4	2	no	—
686	C₂×C₂²⋊D₅	—	4	2	no	—
687	C₂×C₂²⋊D₅	—	4	2	no	—
688	C₂×C₂²⋊D₅	—	4	2	no	—
689	C₂×C₂²⋊D₅	—	4	2	no	—
690	C₂×C₂²⋊D₅	—	4	2	no	—
691	C₂×C₂²⋊D₅	—	4	2	no	—
692	C₂×C₂²⋊D₅	—	4	2	no	—
693	C₂×C₂²⋊D₅	—	4	2	no	—
694	C₂×C₂²⋊D₅	—	4	2	no	—
695	C₂×C₂²⋊D₅	—	4	16	no	—
696	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
697	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
698	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
699	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
700	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
701	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
702	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
703	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
704	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
705	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
706	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
707	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
708	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
709	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
710	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
711	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
712	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
713	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
714	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
715	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	complemented
716	C₂²×Dic₅	—	2	4	no	—
717	C₂²×Dic₅	—	4	2	no	—
718	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
719	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
720	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
721	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
724	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
725	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
726	C₂²×Dic₅	C₂⁴	1	4	yes	—
727	C₂²×Dic₅	C₂⁴	1	4	yes	complemented
728	#713	—	4	16	no	—
729	#711	—	4	16	no	—
730	D₄×D₅	—	4	16	no	—
731	D₄×D₅	—	4	16	no	—
732	D₄×D₅	—	4	16	no	—
733	D₄×D₅	—	4	16	no	—
734	D₄×D₅	—	4	16	no	—
735	D₄×D₅	—	4	16	no	—
736	D₄×D₅	—	4	16	no	—
737	D₄×D₅	—	4	16	no	—
738	#709	—	4	16	no	—
739	C₂×D₂₀	—	2	4	no	—
740	C₂×D₂₀	—	2	4	no	—
741	C₂×D₂₀	—	2	4	no	—
742	C₂×D₂₀	—	2	4	no	—
743	C₂×D₂₀	—	2	4	no	—
744	C₂×D₂₀	—	2	4	no	—
745	C₂×D₂₀	—	4	16	no	—
746	C₂×D₂₀	—	4	16	no	—
747	C₂×D₂₀	—	4	16	no	—
748	C₂×D₂₀	—	4	2	no	—
749	C₂×D₂₀	—	4	2	no	—
750	C₂×D₂₀	—	4	2	no	—
751	C₂×D₂₀	—	4	2	no	—
752	C₂×D₂₀	—	4	2	no	—
753	C₂×D₂₀	—	4	2	no	—
754	C₂×D₂₀	—	4	2	no	—
755	C₂×D₂₀	—	4	2	no	—
756	C₂×D₂₀	—	4	2	no	—
757	C₂×D₂₀	—	4	2	no	—
758	C₂×D₂₀	—	4	2	no	—
759	C₂×D₂₀	—	4	2	no	—
760	C₂×D₂₀	C₂⁴	1	4	yes	—
761	C₂×D₂₀	C₂⁴	1	4	yes	—
762	C₂×D₂₀	C₂⁴	1	4	yes	—
763	C₂×D₂₀	C₂⁴	1	4	yes	—
764	C₂×D₂₀	C₂⁴	1	4	yes	—
765	C₂×D₂₀	C₂⁴	1	4	yes	—
766	C₂×D₂₀	C₂⁴	1	4	yes	—
767	C₂×D₂₀	C₂⁴	1	4	yes	—
768	C₂×D₂₀	C₂⁴	1	4	yes	—
769	C₂×D₂₀	C₂⁴	1	4	yes	—
770	C₂×D₂₀	C₂⁴	1	4	yes	—
771	C₂×D₂₀	C₂⁴	1	4	yes	—
772	C₂×D₂₀	C₂⁴	1	4	yes	—
773	C₂×D₂₀	C₂⁴	1	4	yes	—
774	C₂×D₂₀	C₂⁴	1	4	yes	complemented
775	C₂×D₂₀	C₂⁴	1	4	yes	complemented
776	C₂×D₂₀	C₂⁴	1	4	yes	complemented
777	C₂×D₂₀	C₂⁴	1	4	yes	complemented
778	C₂×C₄×D₅	—	2	4	no	—
779	C₂×C₄×D₅	—	2	4	no	—
780	C₂×C₄×D₅	—	4	2	no	—
781	C₂×C₄×D₅	—	4	2	no	—
782	C₂×C₄×D₅	—	4	2	no	—
783	C₂×C₄×D₅	—	4	2	no	—
784	C₂×C₄×D₅	—	4	2	no	—
785	C₂×C₄×D₅	—	4	2	no	—
786	C₂×C₄×D₅	—	4	2	no	—
787	C₂×C₄×D₅	—	4	2	no	—
788	C₂×C₄×D₅	—	4	2	no	—
789	C₂×C₄×D₅	—	4	2	no	—
790	C₂×C₄×D₅	C₂⁴	1	4	yes	—
791	C₂×C₄×D₅	C₂⁴	1	4	yes	—
792	C₂×C₄×D₅	C₂⁴	1	4	yes	—
793	C₂×C₄×D₅	C₂⁴	1	4	yes	—
794	C₂×C₄×D₅	C₂⁴	1	4	yes	—
795	C₂×C₄×D₅	C₂⁴	1	4	yes	—
796	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
797	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
798	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
799	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
800	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
801	C₂×C₄×D₅	C₂⁴	1	4	yes	complemented
802	C₂×Dic₁₀	—	4	2	no	—
803	C₂×Dic₁₀	—	4	2	no	—
804	C₂×Dic₁₀	C₂⁴	1	4	yes	complemented
805	C₂×Dic₁₀	C₂⁴	1	4	yes	complemented
806	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
807	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
808	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
809	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
810	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
811	C₅×C₄⋊C₄	C₂⁴	1	4	yes	complemented
812	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
813	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
814	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
815	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
816	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
817	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
818	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
819	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
820	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
821	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
822	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
823	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
824	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
825	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
826	C₄²×C₅	C₂⁴	1	4	yes	complemented
827	C₄²×C₅	C₂⁴	1	4	yes	complemented
828	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
829	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
830	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
831	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
832	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
833	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
834	C₂²⋊Dic₅	C₂⁴	1	4	yes	complemented
835	C₂²⋊Dic₅	C₂⁴	1	4	yes	complemented
836	#685	C₂⁴	1	4	yes	—
837	#685	C₂⁴	1	4	yes	—
838	#685	C₂⁴	1	4	yes	—
839	#685	C₂⁴	1	4	yes	—
840	#685	C₂⁴	1	4	yes	—
841	#685	C₂⁴	1	4	yes	—
842	#685	C₂⁴	1	4	yes	—
843	#685	C₂⁴	1	4	yes	—
844	#685	C₂⁴	1	4	yes	—
845	#685	C₂⁴	1	4	yes	—
846	#685	C₂⁴	1	4	yes	—
847	#685	C₂⁴	1	4	yes	—
848	#685	C₂⁴	1	4	yes	—
849	#685	C₂⁴	1	4	yes	—
850	#685	C₂⁴	1	4	yes	—
851	#685	C₂⁴	1	4	yes	—
852	#685	C₂⁴	1	4	yes	—
853	#685	C₂⁴	1	4	yes	—
854	#685	C₂⁴	1	4	yes	—
855	#685	C₂⁴	1	4	yes	—
856	#685	C₂⁴	1	4	yes	complemented
857	#685	C₂⁴	1	4	yes	complemented
858	#685	C₂⁴	1	4	yes	complemented
859	#685	C₂⁴	1	4	yes	complemented
860	#685	C₂⁴	1	4	yes	complemented
861	#685	C₂⁴	1	4	yes	complemented
862	#685	C₂⁴	1	4	yes	complemented
863	#685	C₂⁴	1	4	yes	complemented
864	#685	C₂⁴	1	4	yes	complemented
865	#685	C₂⁴	1	4	yes	complemented
866	#685	C₂⁴	1	4	yes	complemented
867	#685	C₂⁴	1	4	yes	complemented
868	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
869	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
870	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
871	C₄⋊Dic₅	C₂⁴	1	4	yes	complemented
872	#683	C₂⁴	1	4	yes	complemented
873	#683	C₂⁴	1	4	yes	complemented
874	#683	C₂⁴	1	4	yes	complemented
875	#683	C₂⁴	1	4	yes	complemented
876	#683	C₂⁴	1	4	yes	complemented
877	#683	C₂⁴	1	4	yes	complemented
878	#683	C₂⁴	1	4	yes	complemented
879	#683	C₂⁴	1	4	yes	complemented
880	C₄×Dic₅	C₂⁴	1	4	yes	complemented
881	C₄×Dic₅	C₂⁴	1	4	yes	complemented
882	C₄×Dic₅	C₂⁴	1	4	yes	complemented
883	C₄×Dic₅	C₂⁴	1	4	yes	complemented
884	C₂⁶	—	5	1	no	—
885	C₂²×#41	—	5	1	no	—
886	C₂²×#41	—	5	1	no	—
887	C₂²×#41	—	5	1	no	—
888	C₂³×D₄	—	5	1	no	—
889	C₂³×D₄	—	5	1	no	—
890	C₂³×D₄	—	5	1	no	—
891	C₂³×D₄	—	5	1	no	—
892	C₂³×D₄	—	5	1	no	—
893	C₂³×D₄	—	5	1	no	—
894	C₂³×D₄	—	5	1	no	—
895	C₂³×D₄	—	5	1	no	—
896	C₂³×D₄	—	5	1	no	—
897	C₂³×D₄	—	5	1	no	—
898	C₂³×D₄	—	5	1	no	—
899	C₂³×D₄	—	5	1	no	—
900	H(3,𝔽₄)	—	5	16	no	—
901	#560	—	5	16	no	—
902	#560	—	5	16	no	—
903	#560	—	5	16	no	—
904	#551	—	5	16	no	—
905	#551	—	5	16	no	—
906	#551	—	5	16	no	—
907	#546	—	5	16	no	—
908	#546	—	5	16	no	—
909	#546	—	5	16	no	—
910	#546	—	5	16	no	—
911	#546	—	5	16	no	—
912	#546	—	5	16	no	—
913	D₄²	—	5	16	no	—
914	D₄²	—	5	16	no	—
915	D₄²	—	5	16	no	—
916	#538	—	5	16	no	—
917	#538	—	5	16	no	—
918	#538	—	5	16	no	—
919	#538	—	5	16	no	—
920	#538	—	5	16	no	—
921	#538	C₂×D₅	1	16	yes	complemented
922	#535	—	5	16	no	—
923	#535	—	5	16	no	—
924	#535	—	5	16	no	—
925	#534	—	5	16	no	—
926	#534	—	5	16	no	—
927	#534	—	5	16	no	—
928	C₂×#127	—	5	1	no	—
929	C₂×#127	—	5	1	no	—
930	C₂×#127	—	5	1	no	—
931	C₂×#127	—	5	1	no	—
932	C₂×#126	—	5	1	no	—
933	C₂×#126	—	5	1	no	—
934	C₂×#126	—	5	1	no	—
935	C₂×#126	—	5	1	no	—
936	C₂×#126	—	5	1	no	—
937	C₂×#126	—	5	1	no	—
938	C₂×#126	C₂×D₅	1	1	yes	characteristic, complemented
939	C₂×#126	C₂×D₅	1	1	yes	characteristic, complemented
940	C₂×#124	—	5	1	no	—
941	C₂×#124	—	5	1	no	—
942	C₂×#124	—	5	1	no	—
943	C₂×#124	—	5	1	no	—
944	C₂×#124	—	5	1	no	—
945	C₂×#124	—	5	1	no	—
946	C₂×#124	—	5	1	no	—
947	C₂×#124	—	5	1	no	—
948	C₂×#124	—	5	1	no	—
949	C₂×#124	—	5	1	no	—
950	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
951	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
952	C₂×#123	—	5	1	no	—
953	C₂×#123	—	5	1	no	—
954	C₂×#123	—	5	1	no	—
955	C₂×#123	—	5	1	no	—
956	C₂×#123	—	5	1	no	—
957	C₂×#123	—	5	1	no	—
958	C₂×#123	—	5	1	no	—
959	C₂×#123	—	5	1	no	—
960	C₂×#123	—	5	1	no	—
961	C₂×#123	—	5	1	no	—
962	C₂×#123	—	5	1	no	—
963	C₂×#123	—	5	1	no	—
964	C₂×#123	—	5	1	no	—
965	C₂×#123	—	5	1	no	—
966	C₂×#123	—	5	1	no	—
967	C₂×#123	—	5	1	no	—
968	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
969	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
970	C₂×C₂²⋊Q₈	—	5	1	no	—
971	C₂×C₂²⋊Q₈	—	5	1	no	—
972	C₂×C₂²⋊Q₈	—	5	1	no	—
973	C₂×C₂²⋊Q₈	—	5	1	no	—
974	C₂×C₂²⋊Q₈	—	5	1	no	—
975	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
976	C₂×#121	—	5	1	no	—
977	C₂×#121	—	5	1	no	—
978	C₂×#121	—	5	1	no	—
979	C₂×#121	—	5	1	no	—
980	C₂×#121	—	5	1	no	—
981	C₂×#121	—	5	1	no	—
982	C₂×#121	—	5	1	no	—
983	C₂×#121	—	5	1	no	—
984	C₂×#121	—	5	1	no	—
985	C₂×#121	—	5	1	no	—
986	C₂×#121	—	5	1	no	—
987	C₂×#121	—	5	1	no	—
988	C₂×#121	—	5	1	no	—
989	C₂×#121	—	5	1	no	—
990	C₂×#121	—	5	1	no	—
991	C₂×#121	—	5	1	no	—
992	C₂×#121	—	5	1	no	—
993	C₂×#121	—	5	1	no	—
994	C₂×#121	—	5	1	no	—
995	C₂×#121	—	5	1	no	—
996	C₂×#121	—	5	1	no	—
997	C₂×#121	—	5	1	no	—
998	C₂×#121	—	5	1	no	—
999	C₂×#121	—	5	1	no	—
1000	C₂×#121	—	5	1	no	—
1001	C₂×#121	—	5	1	no	—
1002	C₂×#121	—	5	1	no	—
1003	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
1004	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
1005	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
1006	C₂×#120	—	5	1	no	—
1007	C₂×#120	—	5	1	no	—
1008	C₂×#120	—	5	1	no	—
1009	C₂×#120	—	5	1	no	—
1010	C₂×#120	—	5	1	no	—
1011	C₂×#120	—	5	1	no	—
1012	C₂×#120	—	5	1	no	—
1013	C₂×#120	—	5	1	no	—
1014	C₂×#120	—	5	1	no	—
1015	C₂×#120	—	5	1	no	—
1016	C₂×#120	—	5	1	no	—
1017	C₂×#120	—	5	1	no	—
1018	C₂×#120	—	5	16	no	—
1019	C₂×#120	—	5	16	no	—
1020	C₂×#120	—	5	1	no	—
1021	C₂×#120	—	5	1	no	—
1022	C₂×#120	—	5	1	no	—
1023	C₂×#120	—	5	1	no	—
1024	C₂×#120	—	5	1	no	—
1025	C₂×#120	—	5	1	no	—
1026	C₂×#120	—	5	1	no	—
1027	C₂×#120	—	5	1	no	—
1028	C₂×#120	—	5	1	no	—
1029	C₂×#120	—	5	1	no	—
1030	C₂×#120	—	5	1	no	—
1031	C₂×#120	—	5	1	no	—
1032	C₂×#120	—	5	1	no	—
1033	C₂×#120	—	5	1	no	—
1034	C₂×#120	—	5	1	no	—
1035	C₂×#120	—	5	16	no	—
1036	C₂×#120	—	5	1	no	—
1037	C₂×#120	—	5	1	no	—
1038	C₂×#120	—	5	1	no	—
1039	C₂×#120	—	5	1	no	—
1040	C₂×#120	—	5	1	no	—
1041	C₂×#120	C₂×D₅	1	1	yes	characteristic, complemented
1042	C₂×#120	C₂×D₅	1	1	yes	characteristic, complemented
1043	C₂×C₄×D₄	—	5	1	no	—
1044	C₂×C₄×D₄	—	5	1	no	—
1045	C₂×C₄×D₄	—	5	1	no	—
1046	C₂×C₄×D₄	—	5	1	no	—
1047	C₂×C₄×D₄	—	5	1	no	—
1048	C₂×C₄×D₄	—	5	1	no	—
1049	C₂×C₄×D₄	—	5	1	no	—
1050	C₂×C₄×D₄	—	5	1	no	—
1051	C₂×C₄×D₄	—	5	1	no	—
1052	C₂×C₄×D₄	—	5	1	no	—
1053	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
1054	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
1055	C₂×#117	—	5	1	no	—
1056	C₂×#117	—	5	1	no	—
1057	C₂×#117	—	5	1	no	—
1058	C₂²×C₂²⋊C₄	—	5	1	no	—
1059	C₂²×C₂²⋊C₄	—	5	1	no	—
1060	C₂²×C₂²⋊C₄	—	5	1	no	—
1061	C₂²×C₂²⋊C₄	—	5	1	no	—
1062	C₂²×C₂²⋊C₄	—	5	1	no	—
1063	C₂²×C₂²⋊C₄	—	5	1	no	—
1064	C₂²×C₂²⋊C₄	—	5	1	no	—
1065	C₂²×C₂²⋊C₄	—	5	1	no	—
1066	C₂²×C₂²⋊C₄	—	5	1	no	—
1067	C₂²×C₂²⋊C₄	—	5	1	no	—
1068	C₂²×C₂²⋊C₄	—	5	1	no	—
1069	C₂²×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
1070	C₂³×C₅	—	2	2	no	—
1071	C₂³×C₅	—	2	2	no	—
1072	C₂³×C₅	—	2	2	no	—
1073	C₂³×C₅	—	2	2	no	—
1074	C₂³×C₅	—	2	2	no	—
1075	C₂³×C₅	—	2	2	no	—
1076	C₂³×C₅	—	2	2	no	—
1077	C₂³×C₅	—	2	8	no	—
1078	C₂³×C₅	—	2	2	no	—
1079	C₂³×C₅	—	2	2	no	—
1080	C₂³×C₅	—	2	2	no	—
1081	C₂³×C₅	—	2	2	no	—
1082	C₂³×C₅	—	2	2	no	—
1083	C₂³×C₅	—	2	2	no	—
1084	C₂³×C₅	—	2	2	no	—
1085	C₂³×C₅	—	4	4	no	—
1086	C₂³×C₅	—	4	4	no	—
1087	C₂³×C₅	—	4	16	no	—
1088	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
1089	C₂³×C₅	C₂⁵	1	2	yes	—
1090	C₂³×C₅	C₂⁵	1	2	yes	—
1091	C₂³×C₅	C₂⁵	1	2	yes	—
1092	C₂³×C₅	C₂⁵	1	2	yes	—
1093	C₂³×C₅	C₂⁵	1	2	yes	—
1094	C₂³×C₅	C₂⁵	1	1	yes	characteristic
1095	C₂²×D₅	—	2	2	no	—
1096	C₂²×D₅	—	2	2	no	—
1097	C₂²×D₅	—	2	2	no	—
1098	C₂²×D₅	—	2	2	no	—
1099	C₂²×D₅	—	2	2	no	—
1100	C₂²×D₅	—	2	2	no	—
1101	C₂²×D₅	—	2	2	no	—
1102	C₂²×D₅	—	2	2	no	—
1103	C₂²×D₅	—	2	2	no	—
1104	C₂²×D₅	—	2	2	no	—
1105	C₂²×D₅	—	2	2	no	—
1106	C₂²×D₅	—	2	2	no	—
1107	C₂²×D₅	—	2	2	no	—
1108	C₂²×D₅	—	2	2	no	—
1109	C₂²×D₅	—	2	2	no	—
1110	C₂²×D₅	—	2	2	no	—
1111	C₂²×D₅	—	2	2	no	—
1112	C₂²×D₅	—	2	2	no	—
1113	C₂²×D₅	—	2	2	no	—
1114	C₂²×D₅	—	2	2	no	—
1115	C₂²×D₅	—	2	2	no	—
1116	C₂²×D₅	—	2	2	no	—
1117	C₂²×D₅	—	2	8	no	—
1118	C₂²×D₅	—	2	8	no	—
1119	C₂²×D₅	—	2	8	no	—
1120	C₂²×D₅	—	2	8	no	—
1121	C₂²×D₅	—	2	8	no	—
1122	C₂²×D₅	—	2	8	no	—
1123	C₂²×D₅	—	2	8	no	—
1124	C₂²×D₅	—	2	8	no	—
1125	C₂²×D₅	—	2	8	no	—
1126	C₂²×D₅	—	2	8	no	—
1127	C₂²×D₅	—	2	8	no	—
1128	C₂²×D₅	—	4	4	no	—
1129	C₂²×D₅	—	4	4	no	—
1130	C₂²×D₅	—	4	4	no	—
1131	C₂²×D₅	—	4	4	no	—
1132	C₂²×D₅	—	4	4	no	—
1133	C₂²×D₅	—	4	4	no	—
1134	C₂²×D₅	—	4	4	no	—
1135	C₂²×D₅	—	4	4	no	—
1136	C₂²×D₅	—	4	4	no	—
1137	C₂²×D₅	—	4	4	no	—
1138	C₂²×D₅	—	4	16	no	—
1139	C₂²×D₅	—	4	4	no	—
1140	C₂²×D₅	—	4	4	no	—
1141	C₂²×D₅	—	4	4	no	—
1142	C₂²×D₅	—	4	4	no	—
1143	C₂²×D₅	—	4	4	no	—
1144	C₂²×D₅	—	4	4	no	—
1145	C₂²×D₅	—	4	4	no	—
1146	C₂²×D₅	—	4	4	no	—
1147	C₂²×D₅	—	4	4	no	—
1148	C₂²×D₅	—	4	16	no	—
1149	C₂²×D₅	—	4	16	no	—
1150	C₂²×D₅	—	4	16	no	—
1151	C₂²×D₅	—	4	16	no	—
1152	C₂²×D₅	—	4	128	no	—
1153	C₂²×D₅	—	4	16	no	—
1154	C₂²×D₅	—	8	8	no	—
1155	C₂²×D₅	—	8	8	no	—
1156	C₂²×D₅	—	8	8	no	—
1157	C₂²×D₅	—	8	8	no	—
1158	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
1159	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
1160	C₂²×D₅	C₂⁵	1	2	yes	—
1161	C₂²×D₅	C₂⁵	1	2	yes	—
1162	C₂²×D₅	C₂⁵	1	2	yes	—
1163	C₂²×D₅	C₂⁵	1	2	yes	—
1164	C₂²×D₅	C₂⁵	1	2	yes	—
1165	C₂²×D₅	C₂⁵	1	2	yes	—
1166	C₂²×D₅	C₂⁵	1	2	yes	—
1167	C₂²×D₅	C₂⁵	1	2	yes	—
1168	C₅×Q₈	—	4	4	no	—
1169	C₅×D₄	—	2	8	no	—
1170	C₅×D₄	—	2	8	no	—
1171	C₅×D₄	—	4	4	no	—
1172	C₅×D₄	—	4	4	no	—
1173	C₅×D₄	—	4	4	no	—
1174	C₅×D₄	—	4	4	no	—
1175	C₅×D₄	—	4	4	no	—
1176	C₂×C₄×C₅	—	2	2	no	—
1177	C₂×C₄×C₅	—	2	2	no	—
1178	C₂×C₄×C₅	—	2	2	no	—
1179	C₂×C₄×C₅	—	2	2	no	—
1180	C₂×C₄×C₅	—	2	2	no	—
1181	C₂×C₄×C₅	—	2	2	no	—
1182	C₂×C₄×C₅	—	2	2	no	—
1183	C₂×C₄×C₅	—	2	2	no	—
1184	C₂×C₄×C₅	—	2	2	no	—
1185	C₂×C₄×C₅	—	2	2	no	—
1186	C₂×C₄×C₅	—	4	4	no	—
1187	C₂×C₄×C₅	—	4	4	no	—
1188	C₂×C₄×C₅	—	4	4	no	—
1189	C₂×C₄×C₅	—	4	4	no	—
1190	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1191	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1192	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1193	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1194	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1195	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1196	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1197	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1198	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1199	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1200	C₂²⋊D₅	—	2	8	no	—
1201	C₂²⋊D₅	—	2	8	no	—
1202	C₂²⋊D₅	—	2	8	no	—
1203	C₂²⋊D₅	—	2	8	no	—
1204	C₂²⋊D₅	—	4	4	no	—
1205	C₂²⋊D₅	—	4	4	no	—
1206	C₂²⋊D₅	—	4	4	no	—
1207	C₂²⋊D₅	—	4	4	no	—
1208	C₂²⋊D₅	—	4	4	no	—
1209	C₂²⋊D₅	—	4	4	no	—
1210	C₂²⋊D₅	—	4	4	no	—
1211	C₂²⋊D₅	—	4	4	no	—
1212	C₂²⋊D₅	—	4	4	no	—
1213	C₂²⋊D₅	—	4	4	no	—
1214	C₂²⋊D₅	—	4	4	no	—
1215	C₂²⋊D₅	—	4	4	no	—
1216	C₂²⋊D₅	—	4	4	no	—
1217	C₂²⋊D₅	—	4	4	no	—
1218	C₂²⋊D₅	—	4	4	no	—
1219	C₂²⋊D₅	—	4	4	no	—
1220	C₂×Dic₅	—	2	2	no	—
1221	C₂×Dic₅	—	2	2	no	—
1222	C₂×Dic₅	—	2	2	no	—
1223	C₂×Dic₅	—	2	2	no	—
1224	C₂×Dic₅	—	2	2	no	—
1225	C₂×Dic₅	—	2	2	no	—
1226	C₂×Dic₅	—	2	2	no	—
1227	C₂×Dic₅	—	2	2	no	—
1228	C₂×Dic₅	—	2	8	no	—
1229	C₂×Dic₅	—	4	4	no	—
1230	C₂×Dic₅	C₂⁵	1	2	yes	—
1231	C₂×Dic₅	C₂⁵	1	2	yes	—
1232	C₂×Dic₅	C₂⁵	1	2	yes	—
1233	C₂×Dic₅	C₂⁵	1	2	yes	—
1234	C₂×Dic₅	C₂⁵	1	2	yes	—
1235	C₂×Dic₅	C₂⁵	1	2	yes	—
1236	C₂×Dic₅	C₂⁵	1	2	yes	—
1237	C₂×Dic₅	C₂⁵	1	2	yes	—
1238	D₂₀	—	2	8	no	—
1239	D₂₀	—	2	8	no	—
1240	D₂₀	—	2	8	no	—
1241	D₂₀	—	2	8	no	—
1242	D₂₀	—	2	8	no	—
1243	D₂₀	—	2	8	no	—
1244	D₂₀	—	4	4	no	—
1245	D₂₀	—	4	4	no	—
1246	D₂₀	—	4	4	no	—
1247	D₂₀	—	4	4	no	—
1248	D₂₀	—	4	4	no	—
1249	D₂₀	—	4	4	no	—
1250	D₂₀	—	4	4	no	—
1251	D₂₀	—	4	4	no	—
1252	D₂₀	—	4	4	no	—
1253	D₂₀	—	4	4	no	—
1254	D₂₀	—	4	4	no	—
1255	D₂₀	—	4	4	no	—
1256	C₄×D₅	—	2	8	no	—
1257	C₄×D₅	—	2	8	no	—
1258	C₄×D₅	—	4	4	no	—
1259	C₄×D₅	—	4	4	no	—
1260	C₄×D₅	—	4	4	no	—
1261	C₄×D₅	—	4	4	no	—
1262	C₄×D₅	—	4	4	no	—
1263	C₄×D₅	—	4	4	no	—
1264	C₄×D₅	—	4	4	no	—
1265	C₄×D₅	—	4	4	no	—
1266	C₄×D₅	—	4	4	no	—
1267	C₄×D₅	—	4	4	no	—
1268	Dic₁₀	—	4	4	no	—
1269	Dic₁₀	—	4	4	no	—
1270	C₂⁵	—	5	1	no	—
1271	C₂⁵	—	5	1	no	—
1272	C₂⁵	—	5	1	no	—
1273	C₂⁵	—	5	1	no	—
1274	C₂⁵	—	5	1	no	—
1275	C₂⁵	—	5	1	no	—
1276	C₂⁵	—	5	1	no	—
1277	C₂⁵	—	5	1	no	—
1278	C₂⁵	—	5	1	no	—
1279	C₂⁵	—	5	8	no	—
1280	C₂⁵	—	5	1	no	—
1281	C₂⁵	—	20	4	no	—
1282	C₂⁵	—	20	4	no	—
1283	C₂⁵	—	20	4	no	—
1284	C₂⁵	C₂²×D₅	1	1	yes	characteristic
1285	C₂×#41	—	5	8	no	—
1286	C₂×#41	—	5	8	no	—
1287	C₂×#41	—	5	8	no	—
1288	C₂×#41	—	20	4	no	—
1289	C₂×#41	—	20	4	no	—
1290	C₂×#41	—	20	4	no	—
1291	C₂²×Q₈	—	5	1	no	—
1292	C₂²×Q₈	—	5	1	no	—
1293	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1294	C₂²×D₄	—	5	1	no	—
1295	C₂²×D₄	—	5	1	no	—
1296	C₂²×D₄	—	5	1	no	—
1297	C₂²×D₄	—	5	1	no	—
1298	C₂²×D₄	—	5	1	no	—
1299	C₂²×D₄	—	5	1	no	—
1300	C₂²×D₄	—	5	1	no	—
1301	C₂²×D₄	—	5	1	no	—
1302	C₂²×D₄	—	5	1	no	—
1303	C₂²×D₄	—	5	1	no	—
1304	C₂²×D₄	—	5	1	no	—
1305	C₂²×D₄	—	5	1	no	—
1306	C₂²×D₄	—	5	1	no	—
1307	C₂²×D₄	—	5	1	no	—
1308	C₂²×D₄	—	5	1	no	—
1309	C₂²×D₄	—	5	1	no	—
1310	C₂²×D₄	—	5	1	no	—
1311	C₂²×D₄	—	5	1	no	—
1312	C₂²×D₄	—	5	8	no	—
1313	C₂²×D₄	—	5	1	no	—
1314	C₂²×D₄	—	5	1	no	—
1315	C₂²×D₄	—	5	8	no	—
1316	C₂²×D₄	—	5	8	no	—
1317	C₂²×D₄	—	5	8	no	—
1318	C₂²×D₄	—	5	8	no	—
1319	C₂²×D₄	—	5	8	no	—
1320	C₂²×D₄	—	5	8	no	—
1321	C₂²×D₄	—	5	8	no	—
1322	C₂²×D₄	—	5	8	no	—
1323	C₂²×D₄	—	5	1	no	—
1324	C₂²×D₄	—	5	1	no	—
1325	C₂²×D₄	—	5	1	no	—
1326	C₂²×D₄	—	5	1	no	—
1327	C₂²×D₄	—	5	1	no	—
1328	C₂²×D₄	—	5	1	no	—
1329	C₂²×D₄	—	5	1	no	—
1330	C₂²×D₄	—	5	1	no	—
1331	C₂²×D₄	—	5	1	no	—
1332	C₂²×D₄	—	5	1	no	—
1333	C₂²×D₄	—	5	1	no	—
1334	C₂²×D₄	—	5	1	no	—
1335	C₂²×D₄	—	5	1	no	—
1336	C₂²×D₄	—	5	1	no	—
1337	C₂²×D₄	—	5	1	no	—
1338	C₂²×D₄	—	5	8	no	—
1339	C₂²×D₄	—	5	8	no	—
1340	C₂²×D₄	—	5	1	no	—
1341	C₂²×D₄	—	5	1	no	—
1342	C₂²×D₄	—	5	1	no	—
1343	C₂²×D₄	—	5	8	no	—
1344	C₂²×D₄	—	20	4	no	—
1345	C₂²×D₄	—	20	4	no	—
1346	C₂²×D₄	—	20	4	no	—
1347	C₂²×D₄	—	20	4	no	—
1348	C₂²×D₄	—	20	4	no	—
1349	C₂²×D₄	—	20	4	no	—
1350	C₂²×D₄	—	20	4	no	—
1351	C₂²×D₄	—	20	4	no	—
1352	C₂²×D₄	—	20	4	no	—
1353	C₂²×D₄	—	20	4	no	—
1354	C₂²×D₄	—	20	4	no	—
1355	C₂²×D₄	—	20	4	no	—
1356	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1357	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1358	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1359	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1360	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1361	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1362	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1363	C₂³×C₄	—	5	1	no	—
1364	C₂³×C₄	—	5	1	no	—
1365	C₂³×C₄	—	5	1	no	—
1366	C₂³×C₄	—	5	1	no	—
1367	C₂³×C₄	—	5	1	no	—
1368	C₂³×C₄	—	5	1	no	—
1369	C₂³×C₄	—	5	1	no	—
1370	C₂³×C₄	—	5	1	no	—
1371	C₂³×C₄	—	5	1	no	—
1372	C₂³×C₄	—	5	1	no	—
1373	C₂³×C₄	—	5	1	no	—
1374	C₂³×C₄	—	5	1	no	—
1375	C₂³×C₄	—	5	1	no	—
1376	C₂³×C₄	—	5	1	no	—
1377	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1378	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1379	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1380	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1381	#127	—	5	8	no	—
1382	#127	—	5	8	no	—
1383	#127	—	5	8	no	—
1384	#127	—	5	8	no	—
1385	#126	—	5	8	no	—
1386	#126	—	5	8	no	—
1387	#126	—	5	8	no	—
1388	#126	—	5	8	no	—
1389	#126	—	5	8	no	—
1390	#126	—	5	8	no	—
1391	#126	C₂²×D₅	1	8	yes	complemented
1392	#126	C₂²×D₅	1	8	yes	complemented
1393	#124	—	5	8	no	—
1394	#124	—	5	8	no	—
1395	#124	—	5	8	no	—
1396	#124	—	5	8	no	—
1397	#124	—	5	8	no	—
1398	#124	—	5	8	no	—
1399	#124	—	5	8	no	—
1400	#124	—	5	8	no	—
1401	#124	—	5	8	no	—
1402	#124	—	5	8	no	—
1403	#124	C₂²×D₅	1	8	yes	complemented
1404	#124	C₂²×D₅	1	8	yes	complemented
1405	#123	—	5	8	no	—
1406	#123	—	5	8	no	—
1407	#123	—	5	8	no	—
1408	#123	—	5	8	no	—
1409	#123	—	5	8	no	—
1410	#123	—	5	8	no	—
1411	#123	—	5	8	no	—
1412	#123	—	5	8	no	—
1413	#123	—	5	8	no	—
1414	#123	—	5	8	no	—
1415	#123	—	5	8	no	—
1416	#123	—	5	8	no	—
1417	#123	—	5	8	no	—
1418	#123	—	5	8	no	—
1419	#123	—	5	8	no	—
1420	#123	—	5	8	no	—
1421	#123	C₂²×D₅	1	8	yes	complemented
1422	#123	C₂²×D₅	1	8	yes	complemented
1423	C₂²⋊Q₈	—	5	8	no	—
1424	C₂²⋊Q₈	—	5	8	no	—
1425	C₂²⋊Q₈	—	5	8	no	—
1426	C₂²⋊Q₈	—	5	8	no	—
1427	C₂²⋊Q₈	—	5	8	no	—
1428	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1429	#121	—	5	8	no	—
1430	#121	—	5	8	no	—
1431	#121	—	5	8	no	—
1432	#121	—	5	8	no	—
1433	#121	—	5	8	no	—
1434	#121	—	5	8	no	—
1435	#121	—	5	8	no	—
1436	#121	—	5	8	no	—
1437	#121	—	5	8	no	—
1438	#121	—	5	8	no	—
1439	#121	—	5	8	no	—
1440	#121	—	5	8	no	—
1441	#121	—	5	8	no	—
1442	#121	—	5	8	no	—
1443	#121	—	5	8	no	—
1444	#121	—	5	8	no	—
1445	#121	—	5	8	no	—
1446	#121	—	5	8	no	—
1447	#121	—	5	8	no	—
1448	#121	—	5	8	no	—
1449	#121	—	5	8	no	—
1450	#121	—	5	8	no	—
1451	#121	—	5	8	no	—
1452	#121	—	5	8	no	—
1453	#121	—	5	8	no	—
1454	#121	—	5	8	no	—
1455	#121	—	5	8	no	—
1456	#121	C₂²×D₅	1	8	yes	complemented
1457	#121	C₂²×D₅	1	8	yes	complemented
1458	#121	C₂²×D₅	1	8	yes	complemented
1459	#120	—	5	8	no	—
1460	#120	—	5	8	no	—
1461	#120	—	5	8	no	—
1462	#120	—	5	8	no	—
1463	#120	—	5	8	no	—
1464	#120	—	5	8	no	—
1465	#120	—	5	8	no	—
1466	#120	—	5	8	no	—
1467	#120	—	5	8	no	—
1468	#120	—	5	8	no	—
1469	#120	—	5	8	no	—
1470	#120	—	5	8	no	—
1471	#120	—	5	8	no	—
1472	#120	—	5	8	no	—
1473	#120	—	5	8	no	—
1474	#120	—	5	8	no	—
1475	#120	—	5	8	no	—
1476	#120	—	5	8	no	—
1477	#120	—	5	8	no	—
1478	#120	—	5	8	no	—
1479	#120	—	5	8	no	—
1480	#120	—	5	8	no	—
1481	#120	—	5	8	no	—
1482	#120	—	5	8	no	—
1483	#120	—	5	8	no	—
1484	#120	—	5	8	no	—
1485	#120	—	5	8	no	—
1486	#120	—	5	8	no	—
1487	#120	—	5	8	no	—
1488	#120	—	5	8	no	—
1489	#120	—	5	8	no	—
1490	#120	—	5	8	no	—
1491	#120	C₂²×D₅	1	8	yes	complemented
1492	#120	C₂²×D₅	1	8	yes	complemented
1493	C₄×D₄	—	5	8	no	—
1494	C₄×D₄	—	5	8	no	—
1495	C₄×D₄	—	5	8	no	—
1496	C₄×D₄	—	5	8	no	—
1497	C₄×D₄	—	5	8	no	—
1498	C₄×D₄	—	5	8	no	—
1499	C₄×D₄	—	5	8	no	—
1500	C₄×D₄	—	5	8	no	—
1501	C₄×D₄	—	5	8	no	—
1502	C₄×D₄	—	5	8	no	—
1503	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1504	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1505	#117	—	5	8	no	—
1506	#117	—	5	8	no	—
1507	#117	—	5	8	no	—
1508	C₂×C₄⋊C₄	—	5	1	no	—
1509	C₂×C₄⋊C₄	—	5	1	no	—
1510	C₂×C₄⋊C₄	—	5	1	no	—
1511	C₂×C₄⋊C₄	—	5	1	no	—
1512	C₂×C₄⋊C₄	—	5	1	no	—
1513	C₂×C₄⋊C₄	—	5	1	no	—
1514	C₂×C₄⋊C₄	—	5	1	no	—
1515	C₂×C₄⋊C₄	—	5	1	no	—
1516	C₂×C₄⋊C₄	—	5	1	no	—
1517	C₂×C₄⋊C₄	—	5	1	no	—
1518	C₂×C₄⋊C₄	—	5	1	no	—
1519	C₂×C₄⋊C₄	—	5	1	no	—
1520	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1521	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1522	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1523	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1524	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1525	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1526	C₂×C₂²⋊C₄	—	5	1	no	—
1527	C₂×C₂²⋊C₄	—	5	1	no	—
1528	C₂×C₂²⋊C₄	—	5	1	no	—
1529	C₂×C₂²⋊C₄	—	5	1	no	—
1530	C₂×C₂²⋊C₄	—	5	1	no	—
1531	C₂×C₂²⋊C₄	—	5	1	no	—
1532	C₂×C₂²⋊C₄	—	5	1	no	—
1533	C₂×C₂²⋊C₄	—	5	1	no	—
1534	C₂×C₂²⋊C₄	—	5	1	no	—
1535	C₂×C₂²⋊C₄	—	5	1	no	—
1536	C₂×C₂²⋊C₄	—	5	1	no	—
1537	C₂×C₂²⋊C₄	—	5	1	no	—
1538	C₂×C₂²⋊C₄	—	5	1	no	—
1539	C₂×C₂²⋊C₄	—	5	1	no	—
1540	C₂×C₂²⋊C₄	—	5	1	no	—
1541	C₂×C₂²⋊C₄	—	5	1	no	—
1542	C₂×C₂²⋊C₄	—	5	1	no	—
1543	C₂×C₂²⋊C₄	—	5	1	no	—
1544	C₂×C₂²⋊C₄	—	5	1	no	—
1545	C₂×C₂²⋊C₄	—	5	1	no	—
1546	C₂×C₂²⋊C₄	—	5	1	no	—
1547	C₂×C₂²⋊C₄	—	5	1	no	—
1548	C₂×C₂²⋊C₄	—	5	1	no	—
1549	C₂×C₂²⋊C₄	—	5	1	no	—
1550	C₂×C₂²⋊C₄	—	5	1	no	—
1551	C₂×C₂²⋊C₄	—	5	1	no	—
1552	C₂×C₂²⋊C₄	—	5	1	no	—
1553	C₂×C₂²⋊C₄	—	5	1	no	—
1554	C₂×C₂²⋊C₄	—	5	8	no	—
1555	C₂×C₂²⋊C₄	—	5	8	no	—
1556	C₂×C₂²⋊C₄	—	5	1	no	—
1557	C₂×C₂²⋊C₄	—	5	1	no	—
1558	C₂×C₂²⋊C₄	—	5	1	no	—
1559	C₂×C₂²⋊C₄	—	5	1	no	—
1560	C₂×C₂²⋊C₄	—	5	1	no	—
1561	C₂×C₂²⋊C₄	—	5	1	no	—
1562	C₂×C₂²⋊C₄	—	5	1	no	—
1563	C₂×C₂²⋊C₄	—	5	1	no	—
1564	C₂×C₂²⋊C₄	—	5	1	no	—
1565	C₂×C₂²⋊C₄	—	5	1	no	—
1566	C₂×C₂²⋊C₄	—	5	1	no	—
1567	C₂×C₂²⋊C₄	—	5	1	no	—
1568	C₂×C₂²⋊C₄	—	5	8	no	—
1569	C₂×C₂²⋊C₄	—	5	8	no	—
1570	C₂×C₂²⋊C₄	—	5	8	no	—
1571	C₂×C₂²⋊C₄	—	5	8	no	—
1572	C₂×C₂²⋊C₄	—	5	8	no	—
1573	C₂×C₂²⋊C₄	—	5	8	no	—
1574	C₂×C₂²⋊C₄	—	5	8	no	—
1575	C₂×C₂²⋊C₄	—	5	8	no	—
1576	C₂×C₂²⋊C₄	—	5	8	no	—
1577	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1578	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1579	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1580	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1581	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1582	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1583	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1584	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1585	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1586	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1587	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	complemented
1588	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1589	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1590	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1591	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1592	C₂×C₄²	—	5	1	no	—
1593	C₂×C₄²	—	5	1	no	—
1594	C₂×C₄²	—	5	1	no	—
1595	C₂×C₄²	—	5	1	no	—
1596	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
1597	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
1598	C₂²×C₅	—	2	2	no	—
1599	C₂²×C₅	—	2	2	no	—
1600	C₂²×C₅	—	2	8	no	—
1601	C₂²×C₅	—	2	2	no	—
1602	C₂²×C₅	—	2	2	no	—
1603	C₂²×C₅	—	2	2	no	—
1604	C₂²×C₅	—	2	2	no	—
1605	C₂²×C₅	—	2	2	no	—
1606	C₂²×C₅	—	2	2	no	—
1607	C₂²×C₅	—	2	2	no	—
1608	C₂²×C₅	—	2	2	no	—
1609	C₂²×C₅	—	2	2	no	—
1610	C₂²×C₅	—	2	2	no	—
1611	C₂²×C₅	—	2	2	no	—
1612	C₂²×C₅	—	2	2	no	—
1613	C₂²×C₅	—	4	16	no	—
1614	C₂²×C₅	—	4	4	no	—
1615	C₂²×C₅	—	4	4	no	—
1616	C₂²×C₅	—	4	4	no	—
1617	C₂²×C₅	—	4	4	no	—
1618	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1619	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1620	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1621	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1622	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1623	C₂×D₅	—	2	2	no	—
1624	C₂×D₅	—	2	2	no	—
1625	C₂×D₅	—	2	2	no	—
1626	C₂×D₅	—	2	2	no	—
1627	C₂×D₅	—	2	8	no	—
1628	C₂×D₅	—	2	8	no	—
1629	C₂×D₅	—	2	2	no	—
1630	C₂×D₅	—	2	2	no	—
1631	C₂×D₅	—	2	2	no	—
1632	C₂×D₅	—	2	2	no	—
1633	C₂×D₅	—	2	2	no	—
1634	C₂×D₅	—	2	2	no	—
1635	C₂×D₅	—	2	2	no	—
1636	C₂×D₅	—	2	2	no	—
1637	C₂×D₅	—	2	2	no	—
1638	C₂×D₅	—	2	2	no	—
1639	C₂×D₅	—	2	2	no	—
1640	C₂×D₅	—	2	2	no	—
1641	C₂×D₅	—	2	2	no	—
1642	C₂×D₅	—	2	2	no	—
1643	C₂×D₅	—	2	2	no	—
1644	C₂×D₅	—	2	2	no	—
1645	C₂×D₅	—	2	2	no	—
1646	C₂×D₅	—	2	2	no	—
1647	C₂×D₅	—	4	16	no	—
1648	C₂×D₅	—	4	16	no	—
1649	C₂×D₅	—	4	16	no	—
1650	C₂×D₅	—	4	16	no	—
1651	C₂×D₅	—	4	16	no	—
1652	C₂×D₅	—	4	16	no	—
1653	C₂×D₅	—	4	4	no	—
1654	C₂×D₅	—	4	4	no	—
1655	C₂×D₅	—	4	4	no	—
1656	C₂×D₅	—	4	4	no	—
1657	C₂×D₅	—	4	4	no	—
1658	C₂×D₅	—	4	4	no	—
1659	C₂×D₅	—	8	8	no	—
1660	C₂×D₅	—	8	8	no	—
1661	C₂×D₅	—	8	8	no	—
1662	C₂×D₅	—	8	8	no	—
1663	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1664	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1665	C₄×C₅	—	2	2	no	—
1666	C₄×C₅	—	2	2	no	—
1667	C₄×C₅	—	2	2	no	—
1668	C₄×C₅	—	2	2	no	—
1669	C₄×C₅	—	2	2	no	—
1670	C₄×C₅	—	2	2	no	—
1671	C₄×C₅	—	2	2	no	—
1672	C₄×C₅	—	2	2	no	—
1673	C₄×C₅	—	2	2	no	—
1674	C₄×C₅	—	2	2	no	—
1675	Dic₅	—	2	2	no	—
1676	Dic₅	—	2	2	no	—
1677	Dic₅	—	2	2	no	—
1678	Dic₅	—	2	2	no	—
1679	Dic₅	—	2	2	no	—
1680	Dic₅	—	2	2	no	—
1681	Dic₅	—	2	2	no	—
1682	Dic₅	—	2	2	no	—
1683	C₂⁴	—	2	4	no	—
1684	C₂⁴	—	4	2	no	—
1685	C₂⁴	—	4	2	no	—
1686	C₂⁴	—	5	1	no	—
1687	C₂⁴	—	5	1	no	—
1688	C₂⁴	—	5	1	no	—
1689	C₂⁴	—	5	1	no	—
1690	C₂⁴	—	5	1	no	—
1691	C₂⁴	—	5	1	no	—
1692	C₂⁴	—	5	1	no	—
1693	C₂⁴	—	5	1	no	—
1694	C₂⁴	—	5	4	no	—
1695	C₂⁴	—	5	4	no	—
1696	C₂⁴	—	5	4	no	—
1697	C₂⁴	—	5	4	no	—
1698	C₂⁴	—	5	4	no	—
1699	C₂⁴	—	5	4	no	—
1700	C₂⁴	—	5	4	no	—
1701	C₂⁴	—	5	4	no	—
1702	C₂⁴	—	5	4	no	—
1703	C₂⁴	—	5	4	no	—
1704	C₂⁴	—	10	4	no	—
1705	C₂⁴	—	10	4	no	—
1706	C₂⁴	—	10	4	no	—
1707	C₂⁴	—	10	4	no	—
1708	C₂⁴	—	10	4	no	—
1709	C₂⁴	—	10	4	no	—
1710	C₂⁴	—	10	4	no	—
1711	C₂⁴	—	10	4	no	—
1712	C₂⁴	—	10	4	no	—
1713	C₂⁴	—	10	4	no	—
1714	C₂⁴	—	10	4	no	—
1715	C₂⁴	—	20	2	no	—
1716	C₂⁴	—	20	2	no	—
1717	C₂⁴	—	20	2	no	—
1718	C₂⁴	—	20	2	no	—
1719	C₂⁴	—	20	2	no	—
1720	C₂⁴	—	20	2	no	—
1721	C₂⁴	—	20	16	no	—
1722	C₂⁴	—	20	2	no	—
1723	C₂⁴	—	20	2	no	—
1724	C₂⁴	—	20	2	no	—
1725	C₂⁴	—	20	2	no	—
1726	C₂⁴	—	20	2	no	—
1727	C₂⁴	—	20	2	no	—
1728	C₂⁴	—	20	2	no	—
1729	C₂⁴	—	20	2	no	—
1730	C₂⁴	—	20	2	no	—
1731	C₂⁴	—	20	2	no	—
1732	C₂⁴	—	20	2	no	—
1733	C₂⁴	—	20	2	no	—
1734	C₂⁴	—	20	2	no	—
1735	C₂⁴	—	20	16	no	—
1736	C₂⁴	—	20	16	no	—
1737	C₂⁴	—	20	64	no	—
1738	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1739	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1740	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1741	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1742	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1743	C₂⁴	C₂³×D₅	1	4	yes	—
1744	#41	—	20	16	no	—
1745	#41	—	20	16	no	—
1746	#41	—	20	16	no	—
1747	C₂×Q₈	—	4	2	no	—
1748	C₂×Q₈	—	5	4	no	—
1749	C₂×Q₈	—	5	4	no	—
1750	C₂×Q₈	—	20	2	no	—
1751	C₂×Q₈	—	20	2	no	—
1752	C₂×Q₈	C₂³×D₅	1	4	yes	complemented
1753	C₂×D₄	—	2	4	no	—
1754	C₂×D₄	—	2	4	no	—
1755	C₂×D₄	—	4	2	no	—
1756	C₂×D₄	—	4	2	no	—
1757	C₂×D₄	—	4	2	no	—
1758	C₂×D₄	—	4	2	no	—
1759	C₂×D₄	—	4	2	no	—
1760	C₂×D₄	—	5	4	no	—
1761	C₂×D₄	—	5	4	no	—
1762	C₂×D₄	—	5	4	no	—
1763	C₂×D₄	—	5	4	no	—
1764	C₂×D₄	—	5	4	no	—
1765	C₂×D₄	—	5	4	no	—
1766	C₂×D₄	—	5	4	no	—
1767	C₂×D₄	—	5	4	no	—
1768	C₂×D₄	—	5	4	no	—
1769	C₂×D₄	—	5	4	no	—
1770	C₂×D₄	—	5	4	no	—
1771	C₂×D₄	—	5	4	no	—
1772	C₂×D₄	—	5	4	no	—
1773	C₂×D₄	—	5	4	no	—
1774	C₂×D₄	—	5	4	no	—
1775	C₂×D₄	—	5	4	no	—
1776	C₂×D₄	—	5	4	no	—
1777	C₂×D₄	—	5	4	no	—
1778	C₂×D₄	—	5	4	no	—
1779	C₂×D₄	—	5	4	no	—
1780	C₂×D₄	—	5	4	no	—
1781	C₂×D₄	—	5	4	no	—
1782	C₂×D₄	—	5	4	no	—
1783	C₂×D₄	—	5	4	no	—
1784	C₂×D₄	—	5	4	no	—
1785	C₂×D₄	—	5	4	no	—
1786	C₂×D₄	—	5	4	no	—
1787	C₂×D₄	—	5	4	no	—
1788	C₂×D₄	—	5	4	no	—
1789	C₂×D₄	—	5	4	no	—
1790	C₂×D₄	—	5	4	no	—
1791	C₂×D₄	—	5	4	no	—
1792	C₂×D₄	—	5	4	no	—
1793	C₂×D₄	—	5	4	no	—
1794	C₂×D₄	—	5	4	no	—
1795	C₂×D₄	—	5	4	no	—
1796	C₂×D₄	—	5	4	no	—
1797	C₂×D₄	—	5	4	no	—
1798	C₂×D₄	—	10	4	no	—
1799	C₂×D₄	—	10	4	no	—
1800	C₂×D₄	—	10	4	no	—
1801	C₂×D₄	—	10	4	no	—
1802	C₂×D₄	—	10	4	no	—
1803	C₂×D₄	—	10	4	no	—
1804	C₂×D₄	—	10	4	no	—
1805	C₂×D₄	—	10	4	no	—
1806	C₂×D₄	—	10	4	no	—
1807	C₂×D₄	—	10	4	no	—
1808	C₂×D₄	—	20	2	no	—
1809	C₂×D₄	—	20	2	no	—
1810	C₂×D₄	—	20	2	no	—
1811	C₂×D₄	—	20	2	no	—
1812	C₂×D₄	—	20	2	no	—
1813	C₂×D₄	—	20	2	no	—
1814	C₂×D₄	—	20	2	no	—
1815	C₂×D₄	—	20	2	no	—
1816	C₂×D₄	—	20	2	no	—
1817	C₂×D₄	—	20	2	no	—
1818	C₂×D₄	—	20	2	no	—
1819	C₂×D₄	—	20	2	no	—
1820	C₂×D₄	—	20	16	no	—
1821	C₂×D₄	—	20	16	no	—
1822	C₂×D₄	—	20	16	no	—
1823	C₂×D₄	—	20	16	no	—
1824	C₂×D₄	—	20	16	no	—
1825	C₂×D₄	—	20	2	no	—
1826	C₂×D₄	—	20	2	no	—
1827	C₂×D₄	—	20	2	no	—
1828	C₂×D₄	—	20	2	no	—
1829	C₂×D₄	—	20	16	no	—
1830	C₂×D₄	—	20	2	no	—
1831	C₂×D₄	—	20	2	no	—
1832	C₂×D₄	—	20	2	no	—
1833	C₂×D₄	—	20	2	no	—
1834	C₂×D₄	—	20	2	no	—
1835	C₂×D₄	—	20	2	no	—
1836	C₂×D₄	—	20	2	no	—
1837	C₂×D₄	—	20	2	no	—
1838	C₂×D₄	—	20	2	no	—
1839	C₂×D₄	—	20	2	no	—
1840	C₂×D₄	—	20	2	no	—
1841	C₂×D₄	—	20	2	no	—
1842	C₂×D₄	—	20	16	no	—
1843	C₂×D₄	—	20	16	no	—
1844	C₂×D₄	—	20	16	no	—
1845	C₂×D₄	—	20	16	no	—
1846	C₂×D₄	—	20	16	no	—
1847	C₂×D₄	—	20	16	no	—
1848	C₂×D₄	C₂³×D₅	1	4	yes	—
1849	C₂×D₄	C₂³×D₅	1	4	yes	—
1850	C₂×D₄	C₂³×D₅	1	4	yes	—
1851	C₂×D₄	C₂³×D₅	1	4	yes	—
1852	C₂×D₄	C₂³×D₅	1	4	yes	—
1853	C₂×D₄	C₂³×D₅	1	4	yes	—
1854	C₂×D₄	C₂³×D₅	1	4	yes	complemented
1855	C₂²×C₄	—	4	2	no	—
1856	C₂²×C₄	—	4	2	no	—
1857	C₂²×C₄	—	4	2	no	—
1858	C₂²×C₄	—	4	2	no	—
1859	C₂²×C₄	—	5	4	no	—
1860	C₂²×C₄	—	5	1	no	—
1861	C₂²×C₄	—	5	1	no	—
1862	C₂²×C₄	—	5	1	no	—
1863	C₂²×C₄	—	5	1	no	—
1864	C₂²×C₄	—	5	1	no	—
1865	C₂²×C₄	—	5	1	no	—
1866	C₂²×C₄	—	5	1	no	—
1867	C₂²×C₄	—	5	1	no	—
1868	C₂²×C₄	—	5	4	no	—
1869	C₂²×C₄	—	5	4	no	—
1870	C₂²×C₄	—	5	4	no	—
1871	C₂²×C₄	—	5	4	no	—
1872	C₂²×C₄	—	5	4	no	—
1873	C₂²×C₄	—	5	4	no	—
1874	C₂²×C₄	—	5	4	no	—
1875	C₂²×C₄	—	5	4	no	—
1876	C₂²×C₄	—	5	4	no	—
1877	C₂²×C₄	—	5	4	no	—
1878	C₂²×C₄	—	5	4	no	—
1879	C₂²×C₄	—	5	4	no	—
1880	C₂²×C₄	—	5	4	no	—
1881	C₂²×C₄	—	10	4	no	—
1882	C₂²×C₄	—	10	4	no	—
1883	C₂²×C₄	—	10	4	no	—
1884	C₂²×C₄	—	20	2	no	—
1885	C₂²×C₄	—	20	2	no	—
1886	C₂²×C₄	—	20	2	no	—
1887	C₂²×C₄	—	20	2	no	—
1888	C₂²×C₄	—	20	2	no	—
1889	C₂²×C₄	—	20	2	no	—
1890	C₂²×C₄	—	20	2	no	—
1891	C₂²×C₄	—	20	2	no	—
1892	C₂²×C₄	—	20	2	no	—
1893	C₂²×C₄	—	20	2	no	—
1894	C₂²×C₄	—	20	2	no	—
1895	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1896	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1897	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1898	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1899	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1900	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1901	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1902	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1903	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1904	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1905	C₂²×C₄	C₂³×D₅	1	4	yes	—
1906	C₂²×C₄	C₂³×D₅	1	4	yes	—
1907	C₂²×C₄	C₂³×D₅	1	4	yes	complemented
1908	C₂²×C₄	C₂³×D₅	1	4	yes	complemented
1909	C₄⋊C₄	—	5	4	no	—
1910	C₄⋊C₄	—	5	4	no	—
1911	C₄⋊C₄	—	5	4	no	—
1912	C₄⋊C₄	—	5	4	no	—
1913	C₄⋊C₄	—	5	4	no	—
1914	C₄⋊C₄	—	5	4	no	—
1915	C₄⋊C₄	—	5	4	no	—
1916	C₄⋊C₄	—	5	4	no	—
1917	C₄⋊C₄	—	5	4	no	—
1918	C₄⋊C₄	—	5	4	no	—
1919	C₄⋊C₄	—	5	4	no	—
1920	C₄⋊C₄	—	5	4	no	—
1921	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1922	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1923	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1924	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1925	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1926	C₄⋊C₄	C₂³×D₅	1	4	yes	complemented
1927	C₂²⋊C₄	—	5	4	no	—
1928	C₂²⋊C₄	—	5	4	no	—
1929	C₂²⋊C₄	—	5	4	no	—
1930	C₂²⋊C₄	—	5	4	no	—
1931	C₂²⋊C₄	—	5	4	no	—
1932	C₂²⋊C₄	—	5	4	no	—
1933	C₂²⋊C₄	—	5	4	no	—
1934	C₂²⋊C₄	—	5	4	no	—
1935	C₂²⋊C₄	—	5	4	no	—
1936	C₂²⋊C₄	—	5	4	no	—
1937	C₂²⋊C₄	—	5	4	no	—
1938	C₂²⋊C₄	—	5	4	no	—
1939	C₂²⋊C₄	—	5	4	no	—
1940	C₂²⋊C₄	—	5	4	no	—
1941	C₂²⋊C₄	—	5	4	no	—
1942	C₂²⋊C₄	—	5	4	no	—
1943	C₂²⋊C₄	—	5	4	no	—
1944	C₂²⋊C₄	—	5	4	no	—
1945	C₂²⋊C₄	—	5	4	no	—
1946	C₂²⋊C₄	—	5	4	no	—
1947	C₂²⋊C₄	—	5	4	no	—
1948	C₂²⋊C₄	—	5	4	no	—
1949	C₂²⋊C₄	—	5	4	no	—
1950	C₂²⋊C₄	—	5	4	no	—
1951	C₂²⋊C₄	—	5	4	no	—
1952	C₂²⋊C₄	—	5	4	no	—
1953	C₂²⋊C₄	—	5	4	no	—
1954	C₂²⋊C₄	—	5	4	no	—
1955	C₂²⋊C₄	—	5	4	no	—
1956	C₂²⋊C₄	—	5	4	no	—
1957	C₂²⋊C₄	—	5	4	no	—
1958	C₂²⋊C₄	—	5	4	no	—
1959	C₂²⋊C₄	—	5	4	no	—
1960	C₂²⋊C₄	—	5	4	no	—
1961	C₂²⋊C₄	—	5	4	no	—
1962	C₂²⋊C₄	—	5	4	no	—
1963	C₂²⋊C₄	—	5	4	no	—
1964	C₂²⋊C₄	—	5	4	no	—
1965	C₂²⋊C₄	—	5	4	no	—
1966	C₂²⋊C₄	—	5	4	no	—
1967	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1968	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1969	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1970	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1971	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1972	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1973	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1974	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1975	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1976	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1977	C₂²⋊C₄	C₂³×D₅	1	4	yes	complemented
1978	C₂²⋊C₄	C₂³×D₅	1	4	yes	complemented
1979	C₂²⋊C₄	C₂³×D₅	1	4	yes	complemented
1980	C₂²⋊C₄	C₂³×D₅	1	4	yes	complemented
1981	C₄²	—	5	4	no	—
1982	C₄²	—	5	4	no	—
1983	C₄²	—	5	4	no	—
1984	C₄²	—	5	4	no	—
1985	C₄²	C₂³×D₅	1	4	yes	complemented
1986	C₄²	C₂³×D₅	1	4	yes	complemented
1987	C₂×C₅	—	2	4	no	—
1988	C₂×C₅	—	4	2	no	—
1989	C₂×C₅	—	4	2	no	—
1990	C₂×C₅	—	4	2	no	—
1991	C₂×C₅	—	4	2	no	—
1992	C₂×C₅	#3532	1	4	yes	complemented
1993	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1994	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1995	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1996	D₅	—	2	4	no	—
1997	D₅	—	2	4	no	—
1998	D₅	—	4	2	no	—
1999	D₅	—	4	2	no	—
2000	D₅	—	4	2	no	—
2001	D₅	—	4	2	no	—
2002	D₅	—	4	2	no	—
2003	D₅	—	4	2	no	—
2004	C₂³	—	2	2	no	—
2005	C₂³	—	2	2	no	—
2006	C₂³	—	2	2	no	—
2007	C₂³	—	2	2	no	—
2008	C₂³	—	2	8	no	—
2009	C₂³	—	2	2	no	—
2010	C₂³	—	2	2	no	—
2011	C₂³	—	2	2	no	—
2012	C₂³	—	2	2	no	—
2013	C₂³	—	2	2	no	—
2014	C₂³	—	2	2	no	—
2015	C₂³	—	2	2	no	—
2016	C₂³	—	2	2	no	—
2017	C₂³	—	2	2	no	—
2018	C₂³	—	2	2	no	—
2019	C₂³	—	4	4	no	—
2020	C₂³	—	4	4	no	—
2021	C₂³	—	4	16	no	—
2022	C₂³	—	5	4	no	—
2023	C₂³	—	5	4	no	—
2024	C₂³	—	5	2	no	—
2025	C₂³	—	5	2	no	—
2026	C₂³	—	5	2	no	—
2027	C₂³	—	5	2	no	—
2028	C₂³	—	5	2	no	—
2029	C₂³	—	5	2	no	—
2030	C₂³	—	5	2	no	—
2031	C₂³	—	5	2	no	—
2032	C₂³	—	10	8	no	—
2033	C₂³	—	10	8	no	—
2034	C₂³	—	10	8	no	—
2035	C₂³	—	10	8	no	—
2036	C₂³	—	10	8	no	—
2037	C₂³	—	10	8	no	—
2038	C₂³	—	10	8	no	—
2039	C₂³	—	10	8	no	—
2040	C₂³	—	10	2	no	—
2041	C₂³	—	10	2	no	—
2042	C₂³	—	10	2	no	—
2043	C₂³	—	10	2	no	—
2044	C₂³	—	10	2	no	—
2045	C₂³	—	10	2	no	—
2046	C₂³	—	10	2	no	—
2047	C₂³	—	10	2	no	—
2048	C₂³	—	10	8	no	—
2049	C₂³	—	10	8	no	—
2050	C₂³	—	10	2	no	—
2051	C₂³	—	10	2	no	—
2052	C₂³	—	10	2	no	—
2053	C₂³	—	10	2	no	—
2054	C₂³	—	10	2	no	—
2055	C₂³	—	10	2	no	—
2056	C₂³	—	10	2	no	—
2057	C₂³	—	10	2	no	—
2058	C₂³	—	10	2	no	—
2059	C₂³	—	10	2	no	—
2060	C₂³	—	10	2	no	—
2061	C₂³	—	10	2	no	—
2062	C₂³	—	10	2	no	—
2063	C₂³	—	10	2	no	—
2064	C₂³	—	10	8	no	—
2065	C₂³	—	20	4	no	—
2066	C₂³	—	20	4	no	—
2067	C₂³	—	20	4	no	—
2068	C₂³	—	20	4	no	—
2069	C₂³	—	20	4	no	—
2070	C₂³	—	20	4	no	—
2071	C₂³	—	20	4	no	—
2072	C₂³	—	20	4	no	—
2073	C₂³	—	20	4	no	—
2074	C₂³	—	20	4	no	—
2075	C₂³	—	20	4	no	—
2076	C₂³	—	20	4	no	—
2077	C₂³	—	20	4	no	—
2078	C₂³	—	20	4	no	—
2079	C₂³	—	20	4	no	—
2080	C₂³	—	20	4	no	—
2081	C₂³	—	20	4	no	—
2082	C₂³	—	20	4	no	—
2083	C₂³	—	20	4	no	—
2084	C₂³	—	20	16	no	—
2085	C₂³	—	20	16	no	—
2086	C₂³	—	20	16	no	—
2087	C₂³	—	20	16	no	—
2088	C₂³	—	20	16	no	—
2089	C₂³	—	20	128	no	—
2090	C₂³	—	20	16	no	—
2091	C₂³	—	40	8	no	—
2092	C₂³	—	40	8	no	—
2093	C₂³	—	40	8	no	—
2094	C₂³	—	40	8	no	—
2095	C₂³	#4149	1	4	yes	—
2096	C₂³	C₂⁴×D₅	1	2	yes	—
2097	C₂³	C₂⁴×D₅	1	2	yes	—
2098	C₂³	C₂⁴×D₅	1	2	yes	—
2099	C₂³	C₂⁴×D₅	1	2	yes	—
2100	C₂³	C₂⁴×D₅	1	2	yes	—
2101	C₂³	C₂⁴×D₅	1	1	yes	characteristic
2102	Q₈	—	4	4	no	—
2103	Q₈	—	20	4	no	—
2104	Q₈	—	20	4	no	—
2105	D₄	—	2	8	no	—
2106	D₄	—	2	8	no	—
2107	D₄	—	4	4	no	—
2108	D₄	—	4	4	no	—
2109	D₄	—	4	4	no	—
2110	D₄	—	4	4	no	—
2111	D₄	—	4	4	no	—
2112	D₄	—	10	8	no	—
2113	D₄	—	10	8	no	—
2114	D₄	—	10	8	no	—
2115	D₄	—	10	8	no	—
2116	D₄	—	10	8	no	—
2117	D₄	—	10	8	no	—
2118	D₄	—	10	8	no	—
2119	D₄	—	10	8	no	—
2120	D₄	—	10	8	no	—
2121	D₄	—	10	8	no	—
2122	D₄	—	20	4	no	—
2123	D₄	—	20	4	no	—
2124	D₄	—	20	4	no	—
2125	D₄	—	20	4	no	—
2126	D₄	—	20	4	no	—
2127	D₄	—	20	4	no	—
2128	D₄	—	20	4	no	—
2129	D₄	—	20	4	no	—
2130	D₄	—	20	4	no	—
2131	D₄	—	20	4	no	—
2132	D₄	—	20	4	no	—
2133	D₄	—	20	4	no	—
2134	D₄	—	20	4	no	—
2135	D₄	—	20	4	no	—
2136	D₄	—	20	4	no	—
2137	D₄	—	20	4	no	—
2138	D₄	—	20	4	no	—
2139	D₄	—	20	4	no	—
2140	D₄	—	20	4	no	—
2141	D₄	—	20	4	no	—
2142	D₄	—	20	4	no	—
2143	D₄	—	20	4	no	—
2144	D₄	—	20	4	no	—
2145	D₄	—	20	4	no	—
2146	D₄	—	20	4	no	—
2147	D₄	—	20	4	no	—
2148	D₄	—	20	4	no	—
2149	D₄	—	20	4	no	—
2150	C₂×C₄	—	2	2	no	—
2151	C₂×C₄	—	2	2	no	—
2152	C₂×C₄	—	2	2	no	—
2153	C₂×C₄	—	2	2	no	—
2154	C₂×C₄	—	2	2	no	—
2155	C₂×C₄	—	2	2	no	—
2156	C₂×C₄	—	2	2	no	—
2157	C₂×C₄	—	2	2	no	—
2158	C₂×C₄	—	2	2	no	—
2159	C₂×C₄	—	2	2	no	—
2160	C₂×C₄	—	4	4	no	—
2161	C₂×C₄	—	4	4	no	—
2162	C₂×C₄	—	4	4	no	—
2163	C₂×C₄	—	4	4	no	—
2164	C₂×C₄	—	5	2	no	—
2165	C₂×C₄	—	5	2	no	—
2166	C₂×C₄	—	5	2	no	—
2167	C₂×C₄	—	5	2	no	—
2168	C₂×C₄	—	5	2	no	—
2169	C₂×C₄	—	5	2	no	—
2170	C₂×C₄	—	5	2	no	—
2171	C₂×C₄	—	5	2	no	—
2172	C₂×C₄	—	10	8	no	—
2173	C₂×C₄	—	10	8	no	—
2174	C₂×C₄	—	10	2	no	—
2175	C₂×C₄	—	10	2	no	—
2176	C₂×C₄	—	10	8	no	—
2177	C₂×C₄	—	10	2	no	—
2178	C₂×C₄	—	10	2	no	—
2179	C₂×C₄	—	10	2	no	—
2180	C₂×C₄	—	10	2	no	—
2181	C₂×C₄	—	10	2	no	—
2182	C₂×C₄	—	10	2	no	—
2183	C₂×C₄	—	20	4	no	—
2184	C₂×C₄	—	20	4	no	—
2185	C₂×C₄	—	20	4	no	—
2186	C₂×C₄	—	20	4	no	—
2187	C₂×C₄	—	20	4	no	—
2188	C₂×C₄	—	20	4	no	—
2189	C₂×C₄	—	20	4	no	—
2190	C₂×C₄	—	20	4	no	—
2191	C₂×C₄	—	20	4	no	—
2192	C₂×C₄	—	20	4	no	—
2193	C₂×C₄	—	20	4	no	—
2194	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2195	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2196	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2197	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2198	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2199	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2200	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2201	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2202	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2203	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2204	C₅	C₂×#3532	1	1	yes	characteristic, complemented, Sylow
2205	C₂²	—	2	2	no	—
2206	C₂²	—	2	2	no	—
2207	C₂²	—	2	8	no	—
2208	C₂²	—	2	2	no	—
2209	C₂²	—	2	2	no	—
2210	C₂²	—	2	2	no	—
2211	C₂²	—	2	2	no	—
2212	C₂²	—	2	2	no	—
2213	C₂²	—	2	2	no	—
2214	C₂²	—	2	2	no	—
2215	C₂²	—	2	2	no	—
2216	C₂²	—	2	2	no	—
2217	C₂²	—	2	2	no	—
2218	C₂²	—	2	2	no	—
2219	C₂²	—	2	2	no	—
2220	C₂²	—	4	16	no	—
2221	C₂²	—	4	4	no	—
2222	C₂²	—	4	4	no	—
2223	C₂²	—	4	4	no	—
2224	C₂²	—	4	4	no	—
2225	C₂²	—	5	4	no	—
2226	C₂²	—	5	4	no	—
2227	C₂²	—	10	2	no	—
2228	C₂²	—	10	2	no	—
2229	C₂²	—	10	2	no	—
2230	C₂²	—	10	2	no	—
2231	C₂²	—	10	8	no	—
2232	C₂²	—	10	8	no	—
2233	C₂²	—	10	2	no	—
2234	C₂²	—	10	2	no	—
2235	C₂²	—	10	2	no	—
2236	C₂²	—	10	2	no	—
2237	C₂²	—	10	2	no	—
2238	C₂²	—	10	2	no	—
2239	C₂²	—	10	2	no	—
2240	C₂²	—	10	2	no	—
2241	C₂²	—	10	2	no	—
2242	C₂²	—	10	2	no	—
2243	C₂²	—	10	2	no	—
2244	C₂²	—	10	2	no	—
2245	C₂²	—	10	2	no	—
2246	C₂²	—	10	2	no	—
2247	C₂²	—	10	2	no	—
2248	C₂²	—	10	2	no	—
2249	C₂²	—	10	2	no	—
2250	C₂²	—	10	2	no	—
2251	C₂²	—	20	16	no	—
2252	C₂²	—	20	16	no	—
2253	C₂²	—	20	16	no	—
2254	C₂²	—	20	16	no	—
2255	C₂²	—	20	16	no	—
2256	C₂²	—	20	16	no	—
2257	C₂²	—	20	4	no	—
2258	C₂²	—	20	4	no	—
2259	C₂²	—	20	4	no	—
2260	C₂²	—	20	4	no	—
2261	C₂²	—	20	4	no	—
2262	C₂²	—	20	4	no	—
2263	C₂²	—	40	8	no	—
2264	C₂²	—	40	8	no	—
2265	C₂²	—	40	8	no	—
2266	C₂²	—	40	8	no	—
2267	C₂²	C₂×#4149	1	4	yes	—
2268	C₂²	C₂×#4149	1	2	yes	—
2269	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
2270	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
2271	C₂²	C₂⁵×D₅	1	1	yes	characteristic
2272	C₄	—	2	2	no	—
2273	C₄	—	2	2	no	—
2274	C₄	—	2	2	no	—
2275	C₄	—	2	2	no	—
2276	C₄	—	2	2	no	—
2277	C₄	—	2	2	no	—
2278	C₄	—	2	2	no	—
2279	C₄	—	2	2	no	—
2280	C₄	—	2	2	no	—
2281	C₄	—	2	2	no	—
2282	C₄	—	10	2	no	—
2283	C₄	—	10	2	no	—
2284	C₄	—	10	2	no	—
2285	C₄	—	10	2	no	—
2286	C₄	—	10	2	no	—
2287	C₄	—	10	2	no	—
2288	C₄	—	10	2	no	—
2289	C₄	—	10	2	no	—
2290	C₂	—	2	4	no	—
2291	C₂	—	4	2	no	—
2292	C₂	—	4	2	no	—
2293	C₂	—	4	2	no	—
2294	C₂	—	4	2	no	—
2295	C₂	—	10	4	no	—
2296	C₂	—	10	4	no	—
2297	C₂	—	20	2	no	—
2298	C₂	—	20	2	no	—
2299	C₂	—	20	2	no	—
2300	C₂	—	20	2	no	—
2301	C₂	—	20	2	no	—
2302	C₂	—	20	2	no	—
2303	C₂	#10618319	1	4	yes	direct product factor
2304	C₂	C₂²×#4149	1	1	yes	characteristic
2305	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
2306	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×#538	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#538	D₅
hypocenter	C₅	C₂×#3532
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#538

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#538	C₂	semidirect
2. #10618319	C₂	direct (N × H)
3. C₂×#66045	C₂	semidirect
4. C₂×#66039	C₂	semidirect
5. C₂×#66038	C₂	semidirect
6. C₂×#66038	C₂	semidirect
7. C₂×#66017	C₂	semidirect
8. C₂×#66010	C₂	semidirect
9. C₂×#66012	C₂	semidirect
10. C₂×#66008	C₂	semidirect
11. C₂×#66000	C₂	semidirect
12. C₂×#65988	C₂	semidirect
13. C₂×#65991	C₂	semidirect
14. C₂×#65987	C₂	semidirect
15. C₂×#65971	C₂	semidirect
16. C₂×#65964	C₂	semidirect
17. C₂×#65954	C₂	semidirect
18. C₂×#65944	C₂	semidirect
19. C₂×#65943	C₂	semidirect
20. C₂×#65943	C₂	semidirect
21. C₂×#65941	C₂	semidirect
22. C₂×#65939	C₂	semidirect
23. C₂×#65923	C₂	semidirect
24. C₂×D₅×#120	C₂	semidirect
25. C₂×D₅×#120	C₂	semidirect
26. C₂×#65926	C₂	semidirect
27. C₂×#65890	C₂	semidirect
28. C₂×#65884	C₂	semidirect
29. C₂×#65888	C₂	semidirect
30. C₂×D₄×D₂₀	C₂	semidirect
31. C₂×#65828	C₂	semidirect
32. C₂²×#4028	C₂	semidirect
33. C₂⁵×D₅	C₂²	semidirect
34. C₂³×C₂²⋊D₅	C₂²	semidirect
35. C₂²×#713	C₂²	semidirect
36. C₂²×#711	C₂²	semidirect
37. C₂²×D₄×D₅	C₂²	semidirect
38. C₂²×D₄×D₅	C₂²	semidirect
39. C₂²×D₄×D₅	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×#709	C₂²	semidirect
46. C₂³×D₂₀	C₂²	semidirect
47. C₂³×D₂₀	C₂²	semidirect
48. C₂³×D₂₀	C₂²	semidirect
49. C₅×#538	C₂²	semidirect
50. C₂×C₅×#126	C₂²	semidirect
51. C₂×C₅×#126	C₂²	semidirect
52. C₂×C₅×#124	C₂²	semidirect
53. C₂×C₅×#124	C₂²	semidirect
54. C₂×C₅×#123	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×#121	C₂²	semidirect
60. C₂×C₅×#120	C₂²	semidirect
61. C₂×C₅×#120	C₂²	semidirect
62. C₂×C₄×C₅×D₄	C₂²	semidirect
63. C₂×C₄×C₅×D₄	C₂²	semidirect
64. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
65. C₂×#4099	C₂²	semidirect
66. C₂×#4099	C₂²	semidirect
67. C₂×#4093	C₂²	semidirect
68. C₂×#4093	C₂²	semidirect
69. C₂×#4092	C₂²	semidirect
70. C₂×#4086	C₂²	semidirect
71. C₂×#4086	C₂²	semidirect
72. C₂×#4086	C₂²	semidirect
73. C₂×#4085	C₂²	semidirect
74. C₂×#4085	C₂²	semidirect
75. C₂×#4085	C₂²	semidirect
76. C₂×#4084	C₂²	semidirect
77. C₂×#4084	C₂²	semidirect
79. C₂×#4083	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×#4081	C₂²	semidirect
89. C₂×#4076	C₂²	semidirect
90. C₂×#4076	C₂²	semidirect
91. C₂×#4076	C₂²	semidirect
92. C₂×#4076	C₂²	semidirect
93. C₂×#4075	C₂²	semidirect
94. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
95. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
96. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
97. C₂²×#685	C₂²	semidirect
98. C₂²×#685	C₂²	semidirect
99. C₂²×#685	C₂²	semidirect
100. C₂×#4070	C₂²	semidirect
101. #66045	C₂²	semidirect
102. #66039	C₂²	semidirect
103. #66038	C₂²	semidirect
104. #66038	C₂²	semidirect
105. #66017	C₂²	semidirect
106. #66012	C₂²	semidirect
107. #66010	C₂²	semidirect
108. #66008	C₂²	semidirect
109. #66000	C₂²	semidirect
110. #65991	C₂²	semidirect
111. #65988	C₂²	semidirect
112. #65987	C₂²	semidirect
113. #65971	C₂²	semidirect
114. #65964	C₂²	semidirect
115. #65954	C₂²	semidirect
116. #65944	C₂²	semidirect
117. #65943	C₂²	semidirect
118. #65943	C₂²	semidirect
119. #65941	C₂²	semidirect
120. #65939	C₂²	semidirect
121. #65926	C₂²	semidirect
122. #65923	C₂²	semidirect
123. D₅×#120	C₂²	semidirect
124. D₅×#120	C₂²	semidirect
125. #65890	C₂²	semidirect
126. #65888	C₂²	semidirect
127. #65884	C₂²	semidirect
128. D₄×D₂₀	C₂²	semidirect
129. C₂×#4044	C₂²	semidirect
130. C₂×#4044	C₂²	semidirect
131. C₂×#4044	C₂²	semidirect
132. C₂×#4043	C₂²	semidirect
133. C₂×#4042	C₂²	semidirect
134. C₂×#4042	C₂²	semidirect
135. C₂×#4041	C₂²	semidirect
136. C₂×#4041	C₂²	semidirect
137. C₂×#4041	C₂²	semidirect
138. C₂×#4041	C₂²	semidirect
139. C₂×#4041	C₂²	semidirect
140. C₂×#4041	C₂²	semidirect
141. C₂×#4041	C₂²	semidirect
142. C₂×#4040	C₂²	semidirect
143. C₂×#4040	C₂²	semidirect
144. C₂×#4040	C₂²	semidirect
145. C₂×#4040	C₂²	semidirect
146. C₂×#4040	C₂²	semidirect
147. C₂×#4040	C₂²	semidirect
148. C₂×#4040	C₂²	semidirect
149. C₂×#4039	C₂²	semidirect
150. C₂×#4039	C₂²	semidirect
151. C₂×#4039	C₂²	semidirect
152. C₂×#4038	C₂²	semidirect
153. #65828	C₂²	semidirect
154. C₂×#4032	C₂²	semidirect
155. C₂×#4032	C₂²	semidirect
156. C₂×#4031	C₂²	semidirect
157. C₂×#4031	C₂²	semidirect
158. C₂×#4031	C₂²	semidirect
159. C₂×#4031	C₂²	semidirect
160. C₂×#4031	C₂²	semidirect
161. C₂×#4031	C₂²	semidirect
162. C₂×#4030	C₂²	semidirect
163. C₂×#4030	C₂²	semidirect
164. C₂×#4030	C₂²	semidirect
165. C₂×#4030	C₂²	semidirect
166. C₂×#4030	C₂²	semidirect
167. C₂×#4030	C₂²	semidirect
168. C₂×#4030	C₂²	semidirect
169. C₂×#4030	C₂²	semidirect
170. C₂×#4030	C₂²	semidirect
171. C₂×#4030	C₂²	semidirect
172. C₂×#4030	C₂²	semidirect
173. C₂×#4029	C₂²	semidirect
174. C₂×#4029	C₂²	semidirect
175. C₂×#4029	C₂²	semidirect
176. C₂×#4029	C₂²	semidirect
177. C₂×#4029	C₂²	semidirect
180. C₂×#4028	C₂²	semidirect
181. C₂×#4028	C₂²	semidirect
182. C₂×#4028	C₂²	semidirect
183. C₂×#4028	C₂²	semidirect
184. C₂×#4028	C₂²	semidirect
185. C₂×#4028	C₂²	semidirect
186. C₂×#4028	C₂²	semidirect
187. C₂×#4028	C₂²	semidirect
188. C₂×#4028	C₂²	semidirect
189. C₂×#4028	C₂²	semidirect
190. C₂×#4028	C₂²	semidirect
191. C₂×#4028	C₂²	semidirect
192. C₂×#4028	C₂²	semidirect
193. C₂×#4028	C₂²	semidirect
194. C₂×#4028	C₂²	semidirect
195. C₂×#4028	C₂²	semidirect
196. C₂×#4028	C₂²	semidirect
197. C₂×#4028	C₂²	semidirect
198. C₂×#4028	C₂²	semidirect
199. C₂×#4027	C₂²	semidirect
200. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
201. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
202. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
203. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
204. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
205. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
206. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
207. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
208. C₂×#4025	C₂²	semidirect
209. C₂×#4025	C₂²	semidirect
210. C₂×#4023	C₂²	semidirect
211. C₂×#4022	C₂²	semidirect
212. C₂×#4021	C₂²	semidirect
213. C₂×#4021	C₂²	semidirect
214. C₂×#4020	C₂²	semidirect
215. C₂×C₄×D₂₀	C₂²	semidirect
216. C₂×C₄×D₂₀	C₂²	semidirect
217. C₂×C₄×D₂₀	C₂²	semidirect
218. C₂×#4018	C₂²	semidirect
233. C₂⁴×D₅	C₂³	semidirect
234. C₂⁴×D₅	C₂³	semidirect
235. C₂²×C₅×Q₈	C₂³	semidirect
242. C₂²×C₅×D₄	C₂³	semidirect
245. C₂³×C₄×C₅	C₂³	semidirect
246. C₂³×C₄×C₅	C₂³	semidirect
264. C₂²×C₂²⋊D₅	C₂³	semidirect
265. C₂²×C₂²⋊D₅	C₂³	semidirect
266. C₂²×C₂²⋊D₅	C₂³	semidirect
267. C₂²×C₂²⋊D₅	C₂³	semidirect
268. C₂²×C₂²⋊D₅	C₂³	semidirect
270. C₂³×Dic₅	C₂³	semidirect
272. C₂×#713	C₂³	semidirect
274. C₂×#711	C₂³	semidirect
283. C₂×D₄×D₅	C₂³	semidirect
284. C₂×D₄×D₅	C₂³	semidirect
285. C₂×D₄×D₅	C₂³	semidirect
286. C₂×D₄×D₅	C₂³	semidirect
287. C₂×D₄×D₅	C₂³	semidirect
288. C₂×D₄×D₅	C₂³	semidirect
289. C₂×D₄×D₅	C₂³	semidirect
290. C₂×D₄×D₅	C₂³	semidirect
292. C₂×#709	C₂³	semidirect
310. C₂²×D₂₀	C₂³	semidirect
311. C₂²×D₂₀	C₂³	semidirect
312. C₂²×D₂₀	C₂³	semidirect
313. C₂²×D₂₀	C₂³	semidirect
314. C₂²×D₂₀	C₂³	semidirect
315. C₂²×D₂₀	C₂³	semidirect
316. C₂²×D₂₀	C₂³	semidirect
323. C₂²×C₄×D₅	C₂³	semidirect
324. C₂²×C₄×D₅	C₂³	semidirect
325. C₂²×C₄×D₅	C₂³	semidirect
326. C₂²×C₄×D₅	C₂³	semidirect
327. C₂²×C₄×D₅	C₂³	semidirect
328. C₂²×C₄×D₅	C₂³	semidirect
329. C₂²×Dic₁₀	C₂³	semidirect
330. C₂²×Dic₁₀	C₂³	semidirect
331. C₅×#126	C₂³	semidirect
332. C₅×#126	C₂³	semidirect
333. C₅×#124	C₂³	semidirect
334. C₅×#124	C₂³	semidirect
335. C₅×#123	C₂³	semidirect
336. C₅×#123	C₂³	semidirect
337. C₅×C₂²⋊Q₈	C₂³	semidirect
338. C₅×#121	C₂³	semidirect
339. C₅×#121	C₂³	semidirect
340. C₅×#121	C₂³	semidirect
341. C₅×#120	C₂³	semidirect
342. C₅×#120	C₂³	semidirect
343. C₄×C₅×D₄	C₂³	semidirect
344. C₄×C₅×D₄	C₂³	semidirect
345. C₂×C₅×C₄⋊C₄	C₂³	semidirect
346. C₂×C₅×C₄⋊C₄	C₂³	semidirect
347. C₂×C₅×C₄⋊C₄	C₂³	semidirect
348. C₂×C₅×C₄⋊C₄	C₂³	semidirect
349. C₂×C₅×C₄⋊C₄	C₂³	semidirect
350. C₂×C₅×C₄⋊C₄	C₂³	semidirect
361. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
362. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
363. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
364. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
365. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
366. C₂×C₄²×C₅	C₂³	semidirect
367. C₂×C₄²×C₅	C₂³	semidirect
368. #4099	C₂³	semidirect
369. #4099	C₂³	semidirect
376. C₂×C₂²⋊Dic₅	C₂³	semidirect
377. C₂×C₂²⋊Dic₅	C₂³	semidirect
378. #4093	C₂³	semidirect
379. #4093	C₂³	semidirect
380. #4092	C₂³	semidirect
381. #4086	C₂³	semidirect
382. #4086	C₂³	semidirect
383. #4086	C₂³	semidirect
384. #4085	C₂³	semidirect
385. #4085	C₂³	semidirect
386. #4085	C₂³	semidirect
387. #4084	C₂³	semidirect
388. #4084	C₂³	semidirect
390. #4083	C₂³	semidirect
391. #4083	C₂³	semidirect
392. #4083	C₂³	semidirect
393. #4083	C₂³	semidirect
394. #4083	C₂³	semidirect
395. #4083	C₂³	semidirect
396. #4083	C₂³	semidirect
397. #4083	C₂³	semidirect
398. #4083	C₂³	semidirect
399. #4081	C₂³	semidirect
400. #4076	C₂³	semidirect
401. #4076	C₂³	semidirect
402. #4076	C₂³	semidirect
403. #4076	C₂³	semidirect
404. #4075	C₂³	semidirect
405. C₄×C₂²⋊D₅	C₂³	semidirect
406. C₄×C₂²⋊D₅	C₂³	semidirect
407. C₄×C₂²⋊D₅	C₂³	semidirect
428. C₂×#685	C₂³	semidirect
429. C₂×#685	C₂³	semidirect
430. C₂×#685	C₂³	semidirect
431. C₂×#685	C₂³	semidirect
432. C₂×#685	C₂³	semidirect
433. C₂×#685	C₂³	semidirect
434. C₂×#685	C₂³	semidirect
435. C₂×#685	C₂³	semidirect
436. C₂×#685	C₂³	semidirect
437. C₂×#685	C₂³	semidirect
438. C₂×#685	C₂³	semidirect
439. C₂×#685	C₂³	semidirect
440. C₂×#685	C₂³	semidirect
441. C₂×#685	C₂³	semidirect
442. C₂×#685	C₂³	semidirect
443. C₂×C₄⋊Dic₅	C₂³	semidirect
444. C₂×C₄⋊Dic₅	C₂³	semidirect
445. C₂×C₄⋊Dic₅	C₂³	semidirect
446. C₂×C₄⋊Dic₅	C₂³	semidirect
447. #4070	C₂³	semidirect
448. C₂×#683	C₂³	semidirect
449. C₂×#683	C₂³	semidirect
450. C₂×#683	C₂³	semidirect
451. C₂×#683	C₂³	semidirect
452. C₂×#683	C₂³	semidirect
453. C₂×#683	C₂³	semidirect
454. C₂×#683	C₂³	semidirect
455. C₂×#683	C₂³	semidirect
456. C₂×C₄×Dic₅	C₂³	semidirect
457. C₂×C₄×Dic₅	C₂³	semidirect
458. C₂×C₄×Dic₅	C₂³	semidirect
459. C₂×C₄×Dic₅	C₂³	semidirect
460. #4044	C₂³	semidirect
461. #4044	C₂³	semidirect
462. #4044	C₂³	semidirect
463. #4043	C₂³	semidirect
464. #4042	C₂³	semidirect
465. #4042	C₂³	semidirect
466. #4041	C₂³	semidirect
467. #4041	C₂³	semidirect
468. #4041	C₂³	semidirect
469. #4041	C₂³	semidirect
470. #4041	C₂³	semidirect
471. #4041	C₂³	semidirect
472. #4041	C₂³	semidirect
473. #4040	C₂³	semidirect
474. #4040	C₂³	semidirect
475. #4040	C₂³	semidirect
476. #4040	C₂³	semidirect
477. #4040	C₂³	semidirect
478. #4040	C₂³	semidirect
479. #4040	C₂³	semidirect
480. #4039	C₂³	semidirect
481. #4039	C₂³	semidirect
482. #4039	C₂³	semidirect
483. #4038	C₂³	semidirect
484. #4032	C₂³	semidirect
485. #4032	C₂³	semidirect
486. #4031	C₂³	semidirect
487. #4031	C₂³	semidirect
488. #4031	C₂³	semidirect
489. #4031	C₂³	semidirect
490. #4031	C₂³	semidirect
491. #4031	C₂³	semidirect
492. #4030	C₂³	semidirect
493. #4030	C₂³	semidirect
494. #4030	C₂³	semidirect
495. #4030	C₂³	semidirect
496. #4030	C₂³	semidirect
497. #4030	C₂³	semidirect
498. #4030	C₂³	semidirect
499. #4030	C₂³	semidirect
500. #4030	C₂³	semidirect
501. #4030	C₂³	semidirect
502. #4030	C₂³	semidirect
503. #4029	C₂³	semidirect
504. #4029	C₂³	semidirect
505. #4029	C₂³	semidirect
506. #4029	C₂³	semidirect
507. #4029	C₂³	semidirect
510. #4028	C₂³	semidirect
511. #4028	C₂³	semidirect
512. #4028	C₂³	semidirect
513. #4028	C₂³	semidirect
514. #4028	C₂³	semidirect
515. #4028	C₂³	semidirect
516. #4028	C₂³	semidirect
517. #4028	C₂³	semidirect
518. #4028	C₂³	semidirect
519. #4028	C₂³	semidirect
520. #4028	C₂³	semidirect
521. #4028	C₂³	semidirect
522. #4028	C₂³	semidirect
523. #4028	C₂³	semidirect
524. #4028	C₂³	semidirect
525. #4028	C₂³	semidirect
526. #4028	C₂³	semidirect
527. #4028	C₂³	semidirect
528. #4027	C₂³	semidirect
529. D₅×C₂²⋊C₄	C₂³	semidirect
530. D₅×C₂²⋊C₄	C₂³	semidirect
531. D₅×C₂²⋊C₄	C₂³	semidirect
532. D₅×C₂²⋊C₄	C₂³	semidirect
533. D₅×C₂²⋊C₄	C₂³	semidirect
534. D₅×C₂²⋊C₄	C₂³	semidirect
535. D₅×C₂²⋊C₄	C₂³	semidirect
536. D₅×C₂²⋊C₄	C₂³	semidirect
537. #4025	C₂³	semidirect
538. #4025	C₂³	semidirect
539. #4023	C₂³	semidirect
540. #4022	C₂³	semidirect
541. #4021	C₂³	semidirect
542. #4021	C₂³	semidirect
543. #4020	C₂³	semidirect
544. C₄×D₂₀	C₂³	semidirect
545. C₄×D₂₀	C₂³	semidirect
546. C₄×D₂₀	C₂³	semidirect
547. #4018	C₂³	semidirect
570. C₂×#538	D₅	semidirect
640. C₂³×D₅	C₂⁴	semidirect
642. C₂×C₅×Q₈	C₂⁴	semidirect
656. C₂×C₅×D₄	C₂⁴	semidirect
673. C₂²×C₄×C₅	C₂⁴	semidirect
674. C₂²×C₄×C₅	C₂⁴	semidirect
712. C₂×C₂²⋊D₅	C₂⁴	semidirect
713. C₂×C₂²⋊D₅	C₂⁴	semidirect
714. C₂×C₂²⋊D₅	C₂⁴	semidirect
715. C₂×C₂²⋊D₅	C₂⁴	semidirect
727. C₂²×Dic₅	C₂⁴	semidirect
774. C₂×D₂₀	C₂⁴	semidirect
775. C₂×D₂₀	C₂⁴	semidirect
776. C₂×D₂₀	C₂⁴	semidirect
777. C₂×D₂₀	C₂⁴	semidirect
796. C₂×C₄×D₅	C₂⁴	semidirect
797. C₂×C₄×D₅	C₂⁴	semidirect
798. C₂×C₄×D₅	C₂⁴	semidirect
799. C₂×C₄×D₅	C₂⁴	semidirect
800. C₂×C₄×D₅	C₂⁴	semidirect
801. C₂×C₄×D₅	C₂⁴	semidirect
804. C₂×Dic₁₀	C₂⁴	semidirect
805. C₂×Dic₁₀	C₂⁴	semidirect
806. C₅×C₄⋊C₄	C₂⁴	semidirect
807. C₅×C₄⋊C₄	C₂⁴	semidirect
808. C₅×C₄⋊C₄	C₂⁴	semidirect
809. C₅×C₄⋊C₄	C₂⁴	semidirect
810. C₅×C₄⋊C₄	C₂⁴	semidirect
811. C₅×C₄⋊C₄	C₂⁴	semidirect
822. C₅×C₂²⋊C₄	C₂⁴	semidirect
823. C₅×C₂²⋊C₄	C₂⁴	semidirect
824. C₅×C₂²⋊C₄	C₂⁴	semidirect
825. C₅×C₂²⋊C₄	C₂⁴	semidirect
826. C₄²×C₅	C₂⁴	semidirect
827. C₄²×C₅	C₂⁴	semidirect
834. C₂²⋊Dic₅	C₂⁴	semidirect
835. C₂²⋊Dic₅	C₂⁴	semidirect
856. #685	C₂⁴	semidirect
857. #685	C₂⁴	semidirect
858. #685	C₂⁴	semidirect
859. #685	C₂⁴	semidirect
860. #685	C₂⁴	semidirect
861. #685	C₂⁴	semidirect
862. #685	C₂⁴	semidirect
863. #685	C₂⁴	semidirect
864. #685	C₂⁴	semidirect
865. #685	C₂⁴	semidirect
866. #685	C₂⁴	semidirect
867. #685	C₂⁴	semidirect
868. C₄⋊Dic₅	C₂⁴	semidirect
869. C₄⋊Dic₅	C₂⁴	semidirect
870. C₄⋊Dic₅	C₂⁴	semidirect
871. C₄⋊Dic₅	C₂⁴	semidirect
872. #683	C₂⁴	semidirect
873. #683	C₂⁴	semidirect
874. #683	C₂⁴	semidirect
875. #683	C₂⁴	semidirect
876. #683	C₂⁴	semidirect
877. #683	C₂⁴	semidirect
878. #683	C₂⁴	semidirect
879. #683	C₂⁴	semidirect
880. C₄×Dic₅	C₂⁴	semidirect
881. C₄×Dic₅	C₂⁴	semidirect
882. C₄×Dic₅	C₂⁴	semidirect
883. C₄×Dic₅	C₂⁴	semidirect
921. #538	C₂×D₅	semidirect
938. C₂×#126	C₂×D₅	semidirect
939. C₂×#126	C₂×D₅	semidirect
950. C₂×#124	C₂×D₅	semidirect
951. C₂×#124	C₂×D₅	semidirect
968. C₂×#123	C₂×D₅	semidirect
969. C₂×#123	C₂×D₅	semidirect
975. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
1003. C₂×#121	C₂×D₅	semidirect
1004. C₂×#121	C₂×D₅	semidirect
1005. C₂×#121	C₂×D₅	semidirect
1041. C₂×#120	C₂×D₅	semidirect
1042. C₂×#120	C₂×D₅	semidirect
1053. C₂×C₄×D₄	C₂×D₅	semidirect
1054. C₂×C₄×D₄	C₂×D₅	semidirect
1069. C₂²×C₂²⋊C₄	C₂×D₅	semidirect
1293. C₂²×Q₈	C₂²×D₅	semidirect
1362. C₂²×D₄	C₂²×D₅	semidirect
1379. C₂³×C₄	C₂²×D₅	semidirect
1380. C₂³×C₄	C₂²×D₅	semidirect
1391. #126	C₂²×D₅	semidirect
1392. #126	C₂²×D₅	semidirect
1403. #124	C₂²×D₅	semidirect
1404. #124	C₂²×D₅	semidirect
1421. #123	C₂²×D₅	semidirect
1422. #123	C₂²×D₅	semidirect
1428. C₂²⋊Q₈	C₂²×D₅	semidirect
1456. #121	C₂²×D₅	semidirect
1457. #121	C₂²×D₅	semidirect
1458. #121	C₂²×D₅	semidirect
1491. #120	C₂²×D₅	semidirect
1492. #120	C₂²×D₅	semidirect
1503. C₄×D₄	C₂²×D₅	semidirect
1504. C₄×D₄	C₂²×D₅	semidirect
1520. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1521. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1522. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1523. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1524. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1525. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1587. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1588. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1589. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1590. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1591. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1596. C₂×C₄²	C₂²×D₅	semidirect
1597. C₂×C₄²	C₂²×D₅	semidirect
1752. C₂×Q₈	C₂³×D₅	semidirect
1854. C₂×D₄	C₂³×D₅	semidirect
1907. C₂²×C₄	C₂³×D₅	semidirect
1908. C₂²×C₄	C₂³×D₅	semidirect
1921. C₄⋊C₄	C₂³×D₅	semidirect
1922. C₄⋊C₄	C₂³×D₅	semidirect
1923. C₄⋊C₄	C₂³×D₅	semidirect
1924. C₄⋊C₄	C₂³×D₅	semidirect
1925. C₄⋊C₄	C₂³×D₅	semidirect
1926. C₄⋊C₄	C₂³×D₅	semidirect
1977. C₂²⋊C₄	C₂³×D₅	semidirect
1978. C₂²⋊C₄	C₂³×D₅	semidirect
1979. C₂²⋊C₄	C₂³×D₅	semidirect
1980. C₂²⋊C₄	C₂³×D₅	semidirect
1985. C₄²	C₂³×D₅	semidirect
1986. C₄²	C₂³×D₅	semidirect
1992. C₂×C₅	#3532	semidirect
2204. C₅	C₂×#3532	semidirect
2303. C₂	#10618319	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₅×#538	2
#10618319	2
C₂×#66045	2
C₂×#66039	2
C₂×#66038	2
C₂×#66017	2
C₂×#66010	2
C₂×#66012	2
C₂×#66008	2
C₂×#66000	2
C₂×#65988	2
C₂×#65991	2
C₂×#65987	2
C₂×#65971	2
C₂×#65964	2
C₂×#65954	2
C₂×#65944	2
C₂×#65943	2
C₂×#65941	2
C₂×#65939	2
C₂×#65923	2
C₂×D₅×#120	2
C₂×#65926	2
C₂×#65890	2
C₂×#65884	2
C₂×#65888	2
C₂×D₄×D₂₀	2
C₂×#65828	2
C₂²×#4028	2
C₂×#3532	5

Subgroups — C2×#10618319 #13006416

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618319 #13006416