Subgroups — C₂×#10617914 #13007261

Order 1280.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#66140	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66125	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂²×C₄×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic, complemented
6	#10617914	C₂	1	32	yes	maximal, direct product factor
7	C₂×#65993	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#65992	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#65989	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#65988	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#65994	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65991	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65998	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65995	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65995	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65984	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65996	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65997	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65983	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65983	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65990	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65848	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65849	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#65838	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#65845	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#65824	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#65824	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#65828	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#65820	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65829	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#65829	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic
34	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
35	C₂³×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂³×C₂²⋊D₅	C₂²	1	1	yes	characteristic
37	C₂²×#711	C₂²	1	1	yes	characteristic, complemented
38	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
39	C₂²×#709	C₂²	1	1	yes	characteristic
40	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
41	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₅×#123	C₂²	1	1	yes	characteristic
43	C₂×C₅×#123	C₂²	1	1	yes	characteristic
44	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₅×#123	C₂²	1	16	yes	complemented
51	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
52	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
53	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
54	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
56	C₂×#4099	C₂²	1	1	yes	characteristic
57	C₂×#4099	C₂²	1	1	yes	characteristic
58	C₂×#4099	C₂²	1	1	yes	characteristic, complemented
59	C₂×#4099	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
61	C₂²×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
62	#66140	C₂²	1	16	yes	complemented
63	C₂×#4086	C₂²	1	1	yes	characteristic
64	C₂×#4085	C₂²	1	1	yes	characteristic
65	C₂×#4085	C₂²	1	1	yes	characteristic
66	C₂×#4085	C₂²	1	1	yes	characteristic
67	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
68	D₄×C₂²⋊D₅	C₂²	1	16	yes	complemented
69	C₂×#4084	C₂²	1	1	yes	characteristic
70	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
71	C₂×#4083	C₂²	1	1	yes	characteristic
72	C₂×#4083	C₂²	1	1	yes	characteristic
73	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
74	C₂×#4081	C₂²	1	1	yes	characteristic
75	C₂×#4081	C₂²	1	1	yes	characteristic, complemented
76	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
77	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
78	#66125	C₂²	1	16	yes	complemented
79	C₂×#4076	C₂²	1	1	yes	characteristic
80	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
82	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
83	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
84	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
85	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
86	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
88	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
89	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
90	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
91	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₄×C₂²⋊D₅	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	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, 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	1	yes	characteristic, complemented
101	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×C₂²⋊D₅	C₂²	1	16	yes	complemented
104	C₂²×#685	C₂²	1	1	yes	characteristic, complemented
105	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
106	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
107	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
108	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
109	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
110	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
111	C₂²×#683	C₂²	1	1	yes	characteristic, complemented
112	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
113	#65998	C₂²	1	16	yes	complemented
114	#65997	C₂²	1	16	yes	complemented
115	#65996	C₂²	1	16	yes	complemented
116	#65995	C₂²	1	16	yes	complemented
117	#65995	C₂²	1	16	yes	complemented
118	#65994	C₂²	1	16	yes	complemented
119	#65993	C₂²	1	16	yes	complemented
120	#65992	C₂²	1	16	yes	complemented
121	#65991	C₂²	1	16	yes	complemented
122	#65990	C₂²	1	16	yes	complemented
123	#65989	C₂²	1	16	yes	complemented
124	#65988	C₂²	1	16	yes	complemented
125	D₅×#123	C₂²	1	16	yes	complemented
126	#65984	C₂²	1	16	yes	complemented
127	#65983	C₂²	1	16	yes	complemented
128	#65983	C₂²	1	16	yes	complemented
129	#65849	C₂²	1	16	yes	complemented
130	#65848	C₂²	1	16	yes	complemented
131	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
132	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
133	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
134	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
135	#65845	C₂²	1	16	yes	complemented
136	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
137	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
138	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
139	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
140	C₂×#4042	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	#65838	C₂²	1	16	yes	complemented
147	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
148	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
149	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
150	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
151	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
152	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
153	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
157	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
158	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
159	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
160	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
161	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
162	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
163	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
164	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
165	#65829	C₂²	1	16	yes	complemented
166	#65829	C₂²	1	16	yes	complemented
167	#65828	C₂²	1	16	yes	complemented
168	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
169	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
170	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
171	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
172	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
173	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
174	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
175	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
176	#65824	C₂²	1	16	yes	complemented
177	#65824	C₂²	1	16	yes	complemented
178	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
179	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
180	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
181	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
182	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
183	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
184	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
185	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
186	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
187	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
188	C₂×#4029	C₂²	1	1	yes	characteristic, complemented
189	C₂×#4029	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	#65820	C₂²	1	16	yes	complemented
193	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
194	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
195	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
196	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
197	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
198	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
199	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
200	C₂×#4027	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×#4025	C₂²	1	1	yes	characteristic, complemented
206	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
207	C₂×#4025	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×#4025	C₂²	1	1	yes	characteristic, complemented
211	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
212	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
213	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
214	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
215	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
216	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
217	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
218	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3513	—	5	1	no	maximal, Sylow
220	C₂⁵×C₅	C₂³	1	1	yes	characteristic
221	C₂⁵×C₅	C₂³	1	1	yes	characteristic
222	C₂⁴×D₅	C₂³	1	1	yes	characteristic
223	C₂⁴×D₅	C₂³	1	1	yes	characteristic
224	C₂²×C₅×D₄	—	4	4	no	—
225	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
226	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
227	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
228	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₂²×C₅×D₄	C₂³	1	8	yes	—
230	C₂³×C₄×C₅	—	4	4	no	—
231	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
232	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
233	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
234	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
235	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
236	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
237	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
238	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
239	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
240	C₂³×C₄×C₅	C₂³	1	8	yes	complemented
241	C₂²×C₂²⋊D₅	—	2	8	no	—
242	C₂²×C₂²⋊D₅	—	2	8	no	—
243	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
244	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
245	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
246	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
247	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
248	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
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	C₂³×Dic₅	C₂³	1	1	yes	characteristic
262	C₂³×Dic₅	C₂³	1	1	yes	characteristic
263	C₂³×Dic₅	C₂³	1	1	yes	characteristic
264	C₂³×Dic₅	C₂³	1	1	yes	characteristic
265	C₂³×Dic₅	C₂³	1	1	yes	characteristic
266	C₂³×Dic₅	C₂³	1	1	yes	characteristic
267	C₂×#711	—	4	4	no	—
268	C₂×#711	C₂³	1	8	yes	complemented
269	C₂×D₄×D₅	—	4	4	no	—
270	C₂×D₄×D₅	C₂³	1	8	yes	—
271	C₂×#709	—	2	8	no	—
272	C₂×#709	—	4	4	no	—
273	C₂×#709	C₂³	1	8	yes	—
274	C₂×#709	C₂³	1	8	yes	complemented
275	C₂²×D₂₀	C₂³	1	1	yes	characteristic
276	C₂²×D₂₀	C₂³	1	1	yes	characteristic
277	C₂²×D₂₀	C₂³	1	1	yes	characteristic
278	C₂²×D₂₀	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₅	—	4	4	no	—
280	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
281	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
283	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
284	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
286	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
287	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
288	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
289	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
290	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
291	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
292	C₂²×C₄×D₅	C₂³	1	8	yes	complemented
293	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
294	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
295	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
296	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
297	C₅×#123	C₂³	1	8	yes	—
298	C₅×#123	C₂³	1	8	yes	—
299	C₅×#123	C₂³	1	8	yes	complemented
300	C₅×#123	C₂³	1	8	yes	complemented
301	C₅×#123	C₂³	1	8	yes	complemented
302	C₅×#123	C₂³	1	8	yes	complemented
303	C₅×#123	C₂³	1	8	yes	complemented
304	C₅×#123	C₂³	1	8	yes	complemented
305	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
314	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
315	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
328	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
329	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
330	#4099	C₂³	1	8	yes	—
331	#4099	C₂³	1	8	yes	—
332	#4099	C₂³	1	8	yes	complemented
333	#4099	C₂³	1	8	yes	complemented
334	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	complemented
351	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	complemented
352	#4086	C₂³	1	8	yes	—
353	#4085	C₂³	1	8	yes	—
354	#4085	C₂³	1	8	yes	—
355	#4085	C₂³	1	8	yes	—
356	#4085	C₂³	1	8	yes	complemented
357	#4084	C₂³	1	8	yes	—
358	#4084	C₂³	1	8	yes	complemented
359	#4083	C₂³	1	8	yes	—
360	#4083	C₂³	1	8	yes	—
361	#4082	C₂³	1	8	yes	complemented
362	#4081	C₂³	1	8	yes	—
363	#4081	C₂³	1	8	yes	complemented
364	D₄×Dic₅	C₂³	1	8	yes	—
365	D₄×Dic₅	C₂³	1	8	yes	complemented
366	#4076	C₂³	1	8	yes	—
367	#4076	C₂³	1	8	yes	complemented
368	#4076	C₂³	1	8	yes	complemented
369	#4076	C₂³	1	8	yes	complemented
370	#4075	C₂³	1	8	yes	complemented
371	#4075	C₂³	1	8	yes	complemented
372	#4075	C₂³	1	8	yes	complemented
373	#4075	C₂³	1	8	yes	complemented
374	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
375	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
376	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
377	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
378	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
379	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
380	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
381	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
382	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
383	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
384	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
385	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
386	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
387	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
388	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
389	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
390	C₂×#685	C₂³	1	1	yes	characteristic
391	C₂×#685	C₂³	1	1	yes	characteristic
392	C₂×#685	C₂³	1	1	yes	characteristic
393	C₂×#685	C₂³	1	1	yes	characteristic
394	C₂×#685	C₂³	1	1	yes	characteristic
395	C₂×#685	C₂³	1	1	yes	characteristic
396	C₂×#685	C₂³	1	1	yes	characteristic
397	C₂×#685	C₂³	1	1	yes	characteristic
398	C₂×#685	C₂³	1	1	yes	characteristic
399	C₂×#685	C₂³	1	1	yes	characteristic
400	C₂×#685	C₂³	1	1	yes	characteristic
401	C₂×#685	C₂³	1	1	yes	characteristic
402	C₂×#685	C₂³	1	1	yes	characteristic
403	C₂×#685	C₂³	1	1	yes	characteristic
404	C₂×#685	C₂³	1	1	yes	characteristic
405	C₂×#685	C₂³	1	1	yes	characteristic
406	C₂×#685	C₂³	1	1	yes	characteristic
407	C₂×#685	C₂³	1	1	yes	characteristic
408	C₂×#685	C₂³	1	1	yes	characteristic
409	C₂×#685	C₂³	1	1	yes	characteristic
410	C₂×#685	C₂³	1	8	yes	complemented
411	#4072	C₂³	1	8	yes	complemented
412	#4072	C₂³	1	8	yes	complemented
413	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
414	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
415	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
416	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
417	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
418	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
419	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
420	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
421	#4070	C₂³	1	8	yes	complemented
422	#4070	C₂³	1	8	yes	complemented
423	#4070	C₂³	1	8	yes	complemented
424	#4070	C₂³	1	8	yes	complemented
425	C₂×#683	C₂³	1	1	yes	characteristic
426	C₂×#683	C₂³	1	1	yes	characteristic
427	C₂×#683	C₂³	1	1	yes	characteristic
428	C₂×#683	C₂³	1	1	yes	characteristic
429	C₂×#683	C₂³	1	1	yes	characteristic
430	C₂×#683	C₂³	1	1	yes	characteristic
431	C₂×#683	C₂³	1	1	yes	characteristic
432	C₂×#683	C₂³	1	1	yes	characteristic
433	C₂×#683	C₂³	1	1	yes	characteristic
434	C₂×#683	C₂³	1	1	yes	characteristic
435	C₂×#683	C₂³	1	1	yes	characteristic
436	C₂×#683	C₂³	1	1	yes	characteristic
437	C₂×#683	C₂³	1	1	yes	characteristic
438	C₂×#683	C₂³	1	1	yes	characteristic
439	C₂×#683	C₂³	1	1	yes	characteristic
440	C₂×#683	C₂³	1	1	yes	characteristic
441	C₂×#683	C₂³	1	1	yes	characteristic
442	C₂×#683	C₂³	1	1	yes	characteristic
443	C₂×#683	C₂³	1	1	yes	characteristic
444	C₂×#683	C₂³	1	1	yes	characteristic
445	C₂×#683	C₂³	1	8	yes	complemented
446	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
447	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
448	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
449	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
450	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
451	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
452	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
453	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
454	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
455	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
456	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
457	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
458	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
459	#4044	C₂³	1	8	yes	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	#4042	C₂³	1	8	yes	complemented
467	#4042	C₂³	1	8	yes	complemented
468	#4041	C₂³	1	8	yes	complemented
469	#4040	C₂³	1	8	yes	complemented
470	#4040	C₂³	1	8	yes	complemented
471	#4040	C₂³	1	8	yes	complemented
472	#4040	C₂³	1	8	yes	complemented
473	#4039	C₂³	1	8	yes	complemented
474	#4039	C₂³	1	8	yes	complemented
475	#4039	C₂³	1	8	yes	complemented
476	#4038	C₂³	1	8	yes	complemented
477	#4038	C₂³	1	8	yes	complemented
478	#4038	C₂³	1	8	yes	complemented
479	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
480	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
481	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
482	#4036	C₂³	1	8	yes	complemented
483	#4035	C₂³	1	8	yes	complemented
484	#4035	C₂³	1	8	yes	complemented
485	#4035	C₂³	1	8	yes	complemented
486	#4035	C₂³	1	8	yes	complemented
487	#4034	C₂³	1	8	yes	complemented
488	#4033	C₂³	1	8	yes	complemented
489	#4033	C₂³	1	8	yes	complemented
490	#4033	C₂³	1	8	yes	complemented
491	#4032	C₂³	1	8	yes	complemented
492	#4032	C₂³	1	8	yes	complemented
493	#4031	C₂³	1	8	yes	complemented
494	#4031	C₂³	1	8	yes	complemented
495	#4031	C₂³	1	8	yes	complemented
496	#4031	C₂³	1	8	yes	complemented
497	#4031	C₂³	1	8	yes	complemented
498	#4031	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	#4030	C₂³	1	8	yes	complemented
504	#4030	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	#4029	C₂³	1	8	yes	complemented
509	#4029	C₂³	1	8	yes	complemented
510	#4029	C₂³	1	8	yes	complemented
511	#4028	C₂³	1	8	yes	complemented
512	#4028	C₂³	1	8	yes	complemented
513	#4027	C₂³	1	8	yes	complemented
514	#4027	C₂³	1	8	yes	complemented
515	#4027	C₂³	1	8	yes	complemented
516	#4027	C₂³	1	8	yes	complemented
517	#4027	C₂³	1	8	yes	complemented
518	#4027	C₂³	1	8	yes	complemented
519	#4027	C₂³	1	8	yes	complemented
520	#4027	C₂³	1	8	yes	complemented
521	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
522	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
523	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
524	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
525	#4025	C₂³	1	8	yes	complemented
526	#4025	C₂³	1	8	yes	complemented
527	#4025	C₂³	1	8	yes	complemented
528	#4025	C₂³	1	8	yes	complemented
529	#4025	C₂³	1	8	yes	complemented
530	#4025	C₂³	1	8	yes	complemented
531	#4024	C₂³	1	8	yes	complemented
532	#4024	C₂³	1	8	yes	complemented
533	#4024	C₂³	1	8	yes	complemented
534	#4024	C₂³	1	8	yes	complemented
535	#4023	C₂³	1	8	yes	complemented
536	#4023	C₂³	1	8	yes	complemented
537	#4023	C₂³	1	8	yes	complemented
538	#4023	C₂³	1	8	yes	complemented
539	#3513	—	5	32	no	—
540	C₂×#559	—	5	1	no	—
541	C₂×#554	—	5	1	no	—
542	C₂×#553	—	5	1	no	—
543	C₂×#553	—	5	1	no	—
544	C₂×#553	—	5	1	no	—
545	C₂×#552	—	5	1	no	—
546	C₂×#551	—	5	1	no	—
547	C₂×#551	—	5	1	no	—
548	C₂×#551	—	5	1	no	—
549	C₂×#551	—	5	1	no	—
550	C₂×#547	—	5	1	no	—
551	C₂×#546	—	5	1	no	—
552	C₂×#546	—	5	1	no	—
553	C₂×#546	—	5	1	no	—
554	C₂×#546	—	5	1	no	—
555	C₂×D₄²	—	5	1	no	—
556	C₂×#542	—	5	1	no	—
557	C₂×#540	—	5	1	no	—
558	C₂×#539	—	5	1	no	—
559	C₂×#539	—	5	1	no	—
560	C₂×#538	—	5	1	no	—
561	C₂×#538	—	5	1	no	—
562	C₂×#529	—	5	1	no	—
563	C₂×#529	—	5	1	no	—
564	C₂×#525	—	5	1	no	—
565	C₂×#525	—	5	1	no	—
566	C₂²×#123	—	5	1	no	—
567	C₂²×#123	D₅	1	1	yes	characteristic, complemented
568	C₂×#520	—	5	1	no	—
569	C₂×#518	—	5	1	no	—
570	C₂²×C₄×D₄	—	5	1	no	—
571	C₂⁴×C₅	—	2	4	no	—
572	C₂⁴×C₅	—	2	4	no	—
573	C₂⁴×C₅	—	2	4	no	—
574	C₂⁴×C₅	—	4	2	no	—
575	C₂⁴×C₅	—	4	2	no	—
576	C₂⁴×C₅	—	4	2	no	—
577	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
578	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
579	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
580	C₂⁴×C₅	C₂⁴	1	4	yes	—
581	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
582	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
583	C₂⁴×C₅	C₂⁴	1	4	yes	—
584	C₂³×D₅	—	2	4	no	—
585	C₂³×D₅	—	2	4	no	—
586	C₂³×D₅	—	2	4	no	—
587	C₂³×D₅	—	4	2	no	—
588	C₂³×D₅	—	4	2	no	—
589	C₂³×D₅	—	4	2	no	—
590	C₂³×D₅	C₂⁴	1	1	yes	characteristic
591	C₂³×D₅	C₂⁴	1	1	yes	characteristic
592	C₂³×D₅	C₂⁴	1	1	yes	characteristic
593	C₂³×D₅	C₂⁴	1	4	yes	—
594	C₂³×D₅	C₂⁴	1	1	yes	characteristic
595	C₂³×D₅	C₂⁴	1	4	yes	—
596	C₂×C₅×D₄	—	2	4	no	—
597	C₂×C₅×D₄	—	2	4	no	—
598	C₂×C₅×D₄	—	4	2	no	—
599	C₂×C₅×D₄	—	4	2	no	—
600	C₂×C₅×D₄	—	4	16	no	—
601	C₂×C₅×D₄	C₂⁴	1	4	yes	—
602	C₂×C₅×D₄	C₂⁴	1	4	yes	—
603	C₂×C₅×D₄	C₂⁴	1	4	yes	—
604	C₂×C₅×D₄	C₂⁴	1	4	yes	—
605	C₂²×C₄×C₅	—	2	4	no	—
606	C₂²×C₄×C₅	—	2	4	no	—
607	C₂²×C₄×C₅	—	2	4	no	—
608	C₂²×C₄×C₅	—	4	2	no	—
609	C₂²×C₄×C₅	—	4	2	no	—
610	C₂²×C₄×C₅	—	4	2	no	—
611	C₂²×C₄×C₅	—	4	2	no	—
612	C₂²×C₄×C₅	—	4	16	no	—
613	C₂²×C₄×C₅	—	4	2	no	—
614	C₂²×C₄×C₅	—	4	2	no	—
615	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
617	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
618	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
619	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
620	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
622	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
624	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
627	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
628	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
629	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
630	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
631	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
632	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
633	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
634	C₂×C₂²⋊D₅	—	2	4	no	—
635	C₂×C₂²⋊D₅	—	2	4	no	—
636	C₂×C₂²⋊D₅	—	2	4	no	—
637	C₂×C₂²⋊D₅	—	2	4	no	—
638	C₂×C₂²⋊D₅	—	2	4	no	—
639	C₂×C₂²⋊D₅	—	2	4	no	—
640	C₂×C₂²⋊D₅	—	2	4	no	—
641	C₂×C₂²⋊D₅	—	2	32	no	—
642	C₂×C₂²⋊D₅	—	2	32	no	—
643	C₂×C₂²⋊D₅	—	2	4	no	—
644	C₂×C₂²⋊D₅	—	2	4	no	—
645	C₂×C₂²⋊D₅	—	4	2	no	—
646	C₂×C₂²⋊D₅	—	4	2	no	—
647	C₂×C₂²⋊D₅	—	4	2	no	—
648	C₂×C₂²⋊D₅	—	4	2	no	—
649	C₂×C₂²⋊D₅	—	4	2	no	—
650	C₂×C₂²⋊D₅	—	4	2	no	—
651	C₂×C₂²⋊D₅	#41	1	8	yes	complemented
652	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
653	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
654	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
655	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
656	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
657	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
658	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
659	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
660	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
661	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
662	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
663	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
664	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
665	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
666	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
667	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
668	C₂²×Dic₅	—	2	4	no	—
669	C₂²×Dic₅	—	2	4	no	—
670	C₂²×Dic₅	—	2	4	no	—
671	C₂²×Dic₅	—	4	2	no	—
672	C₂²×Dic₅	—	4	2	no	—
673	C₂²×Dic₅	—	4	2	no	—
674	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
675	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
676	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
677	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
678	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
679	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
680	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
681	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
682	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
683	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
684	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
685	C₂²×Dic₅	C₂⁴	1	4	yes	—
686	C₂²×Dic₅	C₂⁴	1	4	yes	—
687	C₂²×Dic₅	C₂⁴	1	4	yes	—
688	C₂²×Dic₅	C₂⁴	1	4	yes	—
689	C₂²×Dic₅	C₂⁴	1	4	yes	—
690	C₂²×Dic₅	C₂⁴	1	4	yes	—
691	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
692	#711	—	4	16	no	—
693	D₄×D₅	—	4	16	no	—
694	#709	—	2	32	no	—
695	#709	—	4	16	no	—
696	C₂×D₂₀	—	2	4	no	—
697	C₂×D₂₀	—	4	2	no	—
698	C₂×D₂₀	—	4	2	no	—
699	C₂×D₂₀	—	4	2	no	—
700	C₂×D₂₀	C₂⁴	1	4	yes	—
701	C₂×D₂₀	C₂⁴	1	4	yes	—
702	C₂×D₂₀	C₂⁴	1	4	yes	—
703	C₂×D₂₀	C₂⁴	1	4	yes	—
704	C₂×C₄×D₅	—	2	4	no	—
705	C₂×C₄×D₅	—	2	4	no	—
706	C₂×C₄×D₅	—	4	2	no	—
707	C₂×C₄×D₅	—	4	2	no	—
708	C₂×C₄×D₅	—	4	2	no	—
709	C₂×C₄×D₅	—	4	2	no	—
710	C₂×C₄×D₅	—	4	16	no	—
711	C₂×C₄×D₅	—	4	2	no	—
712	C₂×C₄×D₅	—	4	2	no	—
713	C₂×C₄×D₅	—	4	2	no	—
714	C₂×C₄×D₅	—	4	2	no	—
715	C₂×C₄×D₅	—	4	2	no	—
716	C₂×C₄×D₅	—	4	2	no	—
717	C₂×C₄×D₅	C₂⁴	1	4	yes	—
718	C₂×C₄×D₅	C₂⁴	1	4	yes	—
719	C₂×C₄×D₅	C₂⁴	1	4	yes	—
720	C₂×C₄×D₅	C₂⁴	1	4	yes	—
721	C₂×C₄×D₅	C₂⁴	1	4	yes	—
722	C₂×C₄×D₅	C₂⁴	1	4	yes	—
723	C₂×C₄×D₅	C₂⁴	1	4	yes	—
724	C₂×C₄×D₅	C₂⁴	1	4	yes	—
725	C₂×C₄×D₅	C₂⁴	1	4	yes	—
726	C₂×C₄×D₅	C₂⁴	1	4	yes	—
727	C₂×C₄×D₅	C₂⁴	1	4	yes	—
728	C₂×C₄×D₅	C₂⁴	1	4	yes	—
729	C₂×Dic₁₀	—	2	4	no	—
730	C₂×Dic₁₀	—	4	2	no	—
731	C₂×Dic₁₀	—	4	2	no	—
732	C₂×Dic₁₀	—	4	2	no	—
733	C₂×Dic₁₀	C₂⁴	1	4	yes	—
734	C₂×Dic₁₀	C₂⁴	1	4	yes	—
735	C₂×Dic₁₀	C₂⁴	1	4	yes	—
736	C₂×Dic₁₀	C₂⁴	1	4	yes	—
737	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
738	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
739	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
740	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
741	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
742	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
743	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
744	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
745	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
748	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
749	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
750	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
751	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
752	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
753	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
754	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
755	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
756	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
757	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
758	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
759	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
760	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
761	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
762	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
763	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
764	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
765	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
766	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
767	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
768	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
769	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
770	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
771	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
772	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
773	#685	C₂⁴	1	4	yes	—
774	#685	C₂⁴	1	4	yes	—
775	#685	C₂⁴	1	4	yes	—
776	#685	C₂⁴	1	4	yes	—
777	#685	C₂⁴	1	4	yes	—
778	#685	C₂⁴	1	4	yes	—
779	#685	C₂⁴	1	4	yes	—
780	#685	C₂⁴	1	4	yes	—
781	#685	C₂⁴	1	4	yes	—
782	#685	C₂⁴	1	4	yes	—
783	#685	C₂⁴	1	4	yes	—
784	#685	C₂⁴	1	4	yes	—
785	#685	C₂⁴	1	4	yes	—
786	#685	C₂⁴	1	4	yes	—
787	#685	C₂⁴	1	4	yes	—
788	#685	C₂⁴	1	4	yes	—
789	#685	C₂⁴	1	4	yes	—
790	#685	C₂⁴	1	4	yes	—
791	#685	C₂⁴	1	4	yes	—
792	#685	C₂⁴	1	4	yes	—
793	C₄⋊Dic₅	C₂⁴	1	4	yes	—
794	C₄⋊Dic₅	C₂⁴	1	4	yes	—
795	C₄⋊Dic₅	C₂⁴	1	4	yes	—
796	C₄⋊Dic₅	C₂⁴	1	4	yes	—
797	C₄⋊Dic₅	C₂⁴	1	4	yes	—
798	C₄⋊Dic₅	C₂⁴	1	4	yes	—
799	C₄⋊Dic₅	C₂⁴	1	4	yes	—
800	C₄⋊Dic₅	C₂⁴	1	4	yes	—
801	#683	C₂⁴	1	4	yes	—
802	#683	C₂⁴	1	4	yes	—
803	#683	C₂⁴	1	4	yes	—
804	#683	C₂⁴	1	4	yes	—
805	#683	C₂⁴	1	4	yes	—
806	#683	C₂⁴	1	4	yes	—
807	#683	C₂⁴	1	4	yes	—
808	#683	C₂⁴	1	4	yes	—
809	#683	C₂⁴	1	4	yes	—
810	#683	C₂⁴	1	4	yes	—
811	#683	C₂⁴	1	4	yes	—
812	#683	C₂⁴	1	4	yes	—
813	#683	C₂⁴	1	4	yes	—
814	#683	C₂⁴	1	4	yes	—
815	#683	C₂⁴	1	4	yes	—
816	#683	C₂⁴	1	4	yes	—
817	#683	C₂⁴	1	4	yes	—
818	#683	C₂⁴	1	4	yes	—
819	#683	C₂⁴	1	4	yes	—
820	#683	C₂⁴	1	4	yes	—
821	C₄×Dic₅	C₂⁴	1	4	yes	—
822	C₄×Dic₅	C₂⁴	1	4	yes	—
823	C₄×Dic₅	C₂⁴	1	4	yes	—
824	C₄×Dic₅	C₂⁴	1	4	yes	—
825	C₄×Dic₅	C₂⁴	1	4	yes	—
826	C₄×Dic₅	C₂⁴	1	4	yes	—
827	C₄×Dic₅	C₂⁴	1	4	yes	—
828	C₄×Dic₅	C₂⁴	1	4	yes	—
829	C₄×Dic₅	C₂⁴	1	4	yes	—
830	C₄×Dic₅	C₂⁴	1	4	yes	—
831	C₄×Dic₅	C₂⁴	1	4	yes	—
832	C₄×Dic₅	C₂⁴	1	4	yes	—
833	C₂²×#41	—	5	1	no	—
834	C₂²×#41	—	5	1	no	—
835	C₂²×#41	—	5	1	no	—
836	C₂³×D₄	—	5	1	no	—
837	C₂³×D₄	—	5	1	no	—
838	C₂³×D₄	—	5	1	no	—
839	C₂³×D₄	C₂×D₅	1	1	yes	characteristic
840	C₂⁴×C₄	—	5	1	no	—
841	C₂⁴×C₄	C₂×D₅	1	1	yes	characteristic, complemented
842	#559	—	5	16	no	—
843	#554	—	5	16	no	—
844	#553	—	5	16	no	—
845	#553	—	5	16	no	—
846	#553	—	5	16	no	—
847	#552	—	5	16	no	—
848	#551	—	5	16	no	—
849	#551	—	5	16	no	—
850	#551	—	5	16	no	—
851	#551	—	5	16	no	—
852	#547	—	5	16	no	—
853	#546	—	5	16	no	—
854	#546	—	5	16	no	—
855	#546	—	5	16	no	—
856	#546	—	5	16	no	—
857	D₄²	—	5	16	no	—
858	#542	—	5	16	no	—
859	#540	—	5	16	no	—
860	#539	—	5	16	no	—
861	#539	—	5	16	no	—
862	#538	—	5	16	no	—
863	#538	—	5	16	no	—
864	C₂×C₄⋊Q₈	—	5	1	no	—
865	C₂×#127	—	5	1	no	—
866	#529	—	5	16	no	—
867	#529	—	5	16	no	—
868	C₂×#126	—	5	1	no	—
869	C₂×#126	—	5	1	no	—
870	C₂×#126	—	5	1	no	—
871	C₂×#126	—	5	1	no	—
872	C₂×#126	—	5	1	no	—
873	C₂×#126	—	5	1	no	—
874	C₂×#126	—	5	1	no	—
875	C₂×#126	—	5	1	no	—
876	C₂×#126	—	5	1	no	—
877	C₂×#126	—	5	1	no	—
878	C₂×#125	—	5	1	no	—
879	C₂×#125	—	5	1	no	—
880	C₂×#125	—	5	1	no	—
881	C₂×#125	—	5	1	no	—
882	C₂×#125	—	5	1	no	—
883	C₂×#124	—	5	1	no	—
884	C₂×#124	—	5	1	no	—
885	C₂×#124	—	5	1	no	—
886	C₂×#124	—	5	1	no	—
887	C₂×#124	—	5	1	no	—
888	C₂×#124	—	5	1	no	—
889	C₂×#124	—	5	1	no	—
890	#525	—	5	16	no	—
891	#525	—	5	16	no	—
892	C₂×#123	—	5	1	no	—
893	C₂×#123	—	5	1	no	—
894	C₂×#123	—	5	1	no	—
895	C₂×#123	—	5	1	no	—
896	C₂×#123	—	5	1	no	—
897	C₂×#123	—	5	1	no	—
898	C₂×#123	—	5	16	no	—
899	C₂×#123	—	5	1	no	—
900	C₂×#123	—	5	1	no	—
901	C₂×#123	—	5	1	no	—
902	C₂×#123	—	5	1	no	—
903	C₂×#123	—	5	1	no	—
904	C₂×#123	—	5	1	no	—
905	C₂×#123	—	5	1	no	—
906	C₂×#123	—	5	1	no	—
907	C₂×#123	—	5	1	no	—
908	C₂×#123	—	5	1	no	—
909	C₂×#123	—	5	1	no	—
910	C₂×#123	—	5	1	no	—
911	C₂×#123	C₂×D₅	1	1	yes	characteristic
912	C₂×#123	C₂×D₅	1	1	yes	characteristic
913	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
914	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
915	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
916	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
917	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
918	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
919	C₂×#123	C₂×D₅	1	16	yes	complemented
920	C₂×C₂²⋊Q₈	—	5	1	no	—
921	C₂×C₂²⋊Q₈	—	5	1	no	—
922	C₂×C₂²⋊Q₈	—	5	1	no	—
923	C₂×C₂²⋊Q₈	—	5	1	no	—
924	C₂×C₂²⋊Q₈	—	5	1	no	—
925	C₂×C₂²⋊Q₈	—	5	1	no	—
926	C₂×C₂²⋊Q₈	—	5	1	no	—
927	C₂×C₂²⋊Q₈	—	5	1	no	—
928	C₂×C₂²⋊Q₈	—	5	1	no	—
929	C₂×C₂²⋊Q₈	—	5	1	no	—
930	C₂×C₂²⋊Q₈	—	5	1	no	—
931	C₂×C₂²⋊Q₈	—	5	1	no	—
932	C₂×C₂²⋊Q₈	—	5	1	no	—
933	C₂×#121	—	5	1	no	—
934	C₂×#121	—	5	1	no	—
935	C₂×#121	—	5	1	no	—
936	C₂×#121	—	5	1	no	—
937	C₂×#121	—	5	1	no	—
938	C₂×#121	—	5	1	no	—
939	C₂×#121	—	5	1	no	—
940	C₂×#121	—	5	1	no	—
941	C₂×#121	—	5	1	no	—
942	C₂×#121	—	5	1	no	—
943	C₂×#121	—	5	1	no	—
944	C₂×#121	—	5	1	no	—
945	C₂×#121	—	5	1	no	—
946	C₂×#121	—	5	1	no	—
947	C₂×#121	—	5	1	no	—
948	C₂×#121	—	5	1	no	—
949	C₂×#121	—	5	1	no	—
950	C₂×#120	—	5	1	no	—
951	C₂×#120	—	5	1	no	—
952	C₂×#120	—	5	1	no	—
953	C₂×#120	—	5	1	no	—
954	C₂×#120	—	5	1	no	—
955	C₂×#120	—	5	1	no	—
956	C₂×#120	—	5	1	no	—
957	C₂×#120	—	5	1	no	—
958	#520	—	5	16	no	—
959	#518	—	5	16	no	—
960	C₂×C₄×Q₈	—	5	1	no	—
961	C₂×C₄×Q₈	—	5	1	no	—
962	C₂×C₄×Q₈	—	5	1	no	—
963	C₂×C₄×D₄	—	5	1	no	—
964	C₂×C₄×D₄	—	5	1	no	—
965	C₂×C₄×D₄	—	5	1	no	—
966	C₂×C₄×D₄	—	5	1	no	—
967	C₂×C₄×D₄	—	5	1	no	—
968	C₂×C₄×D₄	—	5	1	no	—
969	C₂×C₄×D₄	—	5	1	no	—
970	C₂×C₄×D₄	—	5	1	no	—
971	C₂×C₄×D₄	—	5	1	no	—
972	C₂×C₄×D₄	—	5	1	no	—
973	C₂×C₄×D₄	—	5	1	no	—
974	C₂×C₄×D₄	—	5	1	no	—
975	C₂×C₄×D₄	—	5	1	no	—
976	C₂×C₄×D₄	—	5	1	no	—
977	C₂×C₄×D₄	—	5	1	no	—
978	C₂×C₄×D₄	—	5	1	no	—
979	C₂×C₄×D₄	—	5	1	no	—
980	C₂×C₄×D₄	—	5	1	no	—
981	C₂×C₄×D₄	—	5	16	no	—
982	C₂×C₄×D₄	—	5	1	no	—
983	C₂×C₄×D₄	—	5	1	no	—
984	C₂×C₄×D₄	—	5	1	no	—
985	C₂×C₄×D₄	—	5	1	no	—
986	C₂×C₄×D₄	—	5	1	no	—
987	C₂×C₄×D₄	—	5	1	no	—
988	C₂×C₄×D₄	—	5	1	no	—
989	C₂×C₄×D₄	—	5	1	no	—
990	C₂×C₄×D₄	—	5	1	no	—
991	C₂×C₄×D₄	—	5	1	no	—
992	C₂×C₄×D₄	—	5	1	no	—
993	C₂×#117	—	5	1	no	—
994	C₂×#117	—	5	1	no	—
995	C₂×#117	—	5	1	no	—
996	C₂×#117	—	5	1	no	—
997	C₂×#117	—	5	1	no	—
998	C₂×#117	—	5	1	no	—
999	C₂×#117	—	5	1	no	—
1000	C₂×#117	—	5	1	no	—
1001	C₂×#117	—	5	1	no	—
1002	C₂²×C₄⋊C₄	—	5	1	no	—
1003	C₂²×C₄⋊C₄	—	5	1	no	—
1004	C₂²×C₄⋊C₄	—	5	1	no	—
1005	C₂²×C₄⋊C₄	—	5	1	no	—
1006	C₂²×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
1007	C₂²×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
1008	C₂²×C₂²⋊C₄	—	5	1	no	—
1009	C₂²×C₂²⋊C₄	—	5	1	no	—
1010	C₂²×C₂²⋊C₄	—	5	1	no	—
1011	C₂²×C₂²⋊C₄	—	5	1	no	—
1012	C₂²×C₂²⋊C₄	—	5	1	no	—
1013	C₂²×C₂²⋊C₄	—	5	1	no	—
1014	C₂²×C₂²⋊C₄	—	5	1	no	—
1015	C₂²×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
1016	C₂²×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
1017	C₂²×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
1018	C₂²×C₄²	—	5	1	no	—
1019	C₂³×C₅	—	2	2	no	—
1020	C₂³×C₅	—	2	2	no	—
1021	C₂³×C₅	—	2	2	no	—
1022	C₂³×C₅	—	2	2	no	—
1023	C₂³×C₅	—	2	2	no	—
1024	C₂³×C₅	—	2	8	no	—
1025	C₂³×C₅	—	2	2	no	—
1026	C₂³×C₅	—	2	2	no	—
1027	C₂³×C₅	—	2	2	no	—
1028	C₂³×C₅	—	2	2	no	—
1029	C₂³×C₅	—	2	8	no	—
1030	C₂³×C₅	—	2	2	no	—
1031	C₂³×C₅	—	2	2	no	—
1032	C₂³×C₅	—	2	2	no	—
1033	C₂³×C₅	—	2	2	no	—
1034	C₂³×C₅	—	2	8	no	—
1035	C₂³×C₅	—	4	4	no	—
1036	C₂³×C₅	—	4	4	no	—
1037	C₂³×C₅	—	4	4	no	—
1038	C₂³×C₅	—	4	16	no	—
1039	C₂³×C₅	—	8	8	no	—
1040	C₂³×C₅	C₂×#41	1	4	yes	—
1041	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
1042	C₂³×C₅	C₂⁵	1	2	yes	—
1043	C₂³×C₅	C₂⁵	1	2	yes	—
1044	C₂³×C₅	C₂⁵	1	2	yes	—
1045	C₂³×C₅	C₂⁵	1	2	yes	—
1046	C₂³×C₅	C₂⁵	1	2	yes	—
1047	C₂³×C₅	C₂⁵	1	1	yes	characteristic
1048	C₂²×D₅	—	2	2	no	—
1049	C₂²×D₅	—	2	2	no	—
1050	C₂²×D₅	—	2	2	no	—
1051	C₂²×D₅	—	2	2	no	—
1052	C₂²×D₅	—	2	2	no	—
1053	C₂²×D₅	—	2	2	no	—
1054	C₂²×D₅	—	2	2	no	—
1055	C₂²×D₅	—	2	8	no	—
1056	C₂²×D₅	—	2	2	no	—
1057	C₂²×D₅	—	2	2	no	—
1058	C₂²×D₅	—	2	2	no	—
1059	C₂²×D₅	—	2	2	no	—
1060	C₂²×D₅	—	2	8	no	—
1061	C₂²×D₅	—	2	8	no	—
1062	C₂²×D₅	—	4	4	no	—
1063	C₂²×D₅	—	4	4	no	—
1064	C₂²×D₅	—	4	4	no	—
1065	C₂²×D₅	—	4	16	no	—
1066	C₂²×D₅	—	8	8	no	—
1067	C₂²×D₅	C₂×#41	1	4	yes	—
1068	C₂²×D₅	C₂⁵	1	2	yes	—
1069	C₂²×D₅	C₂⁵	1	2	yes	—
1070	C₂²×D₅	C₂⁵	1	2	yes	—
1071	C₂²×D₅	C₂⁵	1	2	yes	—
1072	C₅×D₄	—	2	8	no	—
1073	C₅×D₄	—	2	8	no	—
1074	C₅×D₄	—	4	4	no	—
1075	C₅×D₄	—	4	4	no	—
1076	C₂×C₄×C₅	—	2	2	no	—
1077	C₂×C₄×C₅	—	2	2	no	—
1078	C₂×C₄×C₅	—	2	8	no	—
1079	C₂×C₄×C₅	—	2	2	no	—
1080	C₂×C₄×C₅	—	2	2	no	—
1081	C₂×C₄×C₅	—	2	8	no	—
1082	C₂×C₄×C₅	—	2	2	no	—
1083	C₂×C₄×C₅	—	2	2	no	—
1084	C₂×C₄×C₅	—	2	2	no	—
1085	C₂×C₄×C₅	—	2	2	no	—
1086	C₂×C₄×C₅	—	2	8	no	—
1087	C₂×C₄×C₅	—	2	2	no	—
1088	C₂×C₄×C₅	—	2	2	no	—
1089	C₂×C₄×C₅	—	4	4	no	—
1090	C₂×C₄×C₅	—	4	4	no	—
1091	C₂×C₄×C₅	—	4	4	no	—
1092	C₂×C₄×C₅	—	4	4	no	—
1093	C₂×C₄×C₅	—	4	4	no	—
1094	C₂×C₄×C₅	—	4	4	no	—
1095	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1096	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1097	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1098	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1099	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1100	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1101	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1102	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1103	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1104	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1105	C₂²⋊D₅	—	2	8	no	—
1106	C₂²⋊D₅	—	2	8	no	—
1107	C₂²⋊D₅	—	2	8	no	—
1108	C₂²⋊D₅	—	2	8	no	—
1109	C₂²⋊D₅	—	2	8	no	—
1110	C₂²⋊D₅	—	2	8	no	—
1111	C₂²⋊D₅	—	2	8	no	—
1112	C₂²⋊D₅	—	2	8	no	—
1113	C₂²⋊D₅	—	2	8	no	—
1114	C₂²⋊D₅	—	4	4	no	—
1115	C₂²⋊D₅	—	4	4	no	—
1116	C₂²⋊D₅	—	4	4	no	—
1117	C₂²⋊D₅	—	4	4	no	—
1118	C₂²⋊D₅	—	4	4	no	—
1119	C₂²⋊D₅	—	4	4	no	—
1120	C₂²⋊D₅	C₂×#41	1	16	yes	complemented
1121	C₂×Dic₅	—	2	2	no	—
1122	C₂×Dic₅	—	2	2	no	—
1123	C₂×Dic₅	—	2	2	no	—
1124	C₂×Dic₅	—	2	2	no	—
1125	C₂×Dic₅	—	2	2	no	—
1126	C₂×Dic₅	—	2	2	no	—
1127	C₂×Dic₅	—	2	2	no	—
1128	C₂×Dic₅	—	2	8	no	—
1129	C₂×Dic₅	—	2	2	no	—
1130	C₂×Dic₅	—	2	2	no	—
1131	C₂×Dic₅	—	2	2	no	—
1132	C₂×Dic₅	—	2	2	no	—
1133	C₂×Dic₅	—	2	8	no	—
1134	C₂×Dic₅	—	2	8	no	—
1135	C₂×Dic₅	—	4	4	no	—
1136	C₂×Dic₅	—	4	4	no	—
1137	C₂×Dic₅	—	4	4	no	—
1138	C₂×Dic₅	C₂×#41	1	4	yes	—
1139	C₂×Dic₅	C₂⁵	1	2	yes	—
1140	C₂×Dic₅	C₂⁵	1	2	yes	—
1141	C₂×Dic₅	C₂⁵	1	2	yes	—
1142	C₂×Dic₅	C₂⁵	1	2	yes	—
1143	C₂×Dic₅	C₂⁵	1	2	yes	—
1144	C₂×Dic₅	C₂⁵	1	2	yes	—
1145	C₂×Dic₅	C₂⁵	1	2	yes	—
1146	C₂×Dic₅	C₂⁵	1	2	yes	—
1147	C₂×Dic₅	C₂⁵	1	2	yes	—
1148	C₂×Dic₅	C₂⁵	1	2	yes	—
1149	C₂×Dic₅	C₂⁵	1	2	yes	—
1150	C₂×Dic₅	C₂⁵	1	2	yes	—
1151	D₂₀	—	2	8	no	—
1152	D₂₀	—	4	4	no	—
1153	D₂₀	—	4	4	no	—
1154	D₂₀	—	4	4	no	—
1155	C₄×D₅	—	2	8	no	—
1156	C₄×D₅	—	2	8	no	—
1157	C₄×D₅	—	4	4	no	—
1158	C₄×D₅	—	4	4	no	—
1159	C₄×D₅	—	4	4	no	—
1160	C₄×D₅	—	4	4	no	—
1161	C₄×D₅	—	4	4	no	—
1162	C₄×D₅	—	4	4	no	—
1163	C₄×D₅	—	4	4	no	—
1164	C₄×D₅	—	4	4	no	—
1165	C₄×D₅	—	4	4	no	—
1166	C₄×D₅	—	4	4	no	—
1167	Dic₁₀	—	2	8	no	—
1168	Dic₁₀	—	4	4	no	—
1169	Dic₁₀	—	4	4	no	—
1170	Dic₁₀	—	4	4	no	—
1171	C₂⁵	—	5	1	no	—
1172	C₂⁵	—	5	1	no	—
1173	C₂⁵	C₂²×D₅	1	1	yes	characteristic
1174	C₂⁵	C₂²×D₅	1	1	yes	characteristic
1175	C₂×#41	—	5	8	no	—
1176	C₂×#41	—	5	8	no	—
1177	C₂×#41	—	5	8	no	—
1178	C₂×#41	—	10	8	no	—
1179	C₂×#41	—	20	4	no	—
1180	C₂×#41	—	20	4	no	—
1181	C₂²×Q₈	—	5	1	no	—
1182	C₂²×Q₈	—	5	1	no	—
1183	C₂²×Q₈	—	5	1	no	—
1184	C₂²×Q₈	—	5	1	no	—
1185	C₂²×D₄	—	4	4	no	—
1186	C₂²×D₄	—	5	1	no	—
1187	C₂²×D₄	—	5	1	no	—
1188	C₂²×D₄	—	5	1	no	—
1189	C₂²×D₄	—	5	1	no	—
1190	C₂²×D₄	—	5	1	no	—
1191	C₂²×D₄	—	5	1	no	—
1192	C₂²×D₄	—	5	1	no	—
1193	C₂²×D₄	—	5	1	no	—
1194	C₂²×D₄	—	5	8	no	—
1195	C₂²×D₄	—	5	1	no	—
1196	C₂²×D₄	—	5	1	no	—
1197	C₂²×D₄	—	5	8	no	—
1198	C₂²×D₄	—	5	1	no	—
1199	C₂²×D₄	—	5	1	no	—
1200	C₂²×D₄	—	5	1	no	—
1201	C₂²×D₄	—	5	1	no	—
1202	C₂²×D₄	—	5	1	no	—
1203	C₂²×D₄	—	5	1	no	—
1204	C₂²×D₄	—	5	8	no	—
1205	C₂²×D₄	—	5	1	no	—
1206	C₂²×D₄	—	5	1	no	—
1207	C₂²×D₄	—	5	1	no	—
1208	C₂²×D₄	—	5	1	no	—
1209	C₂²×D₄	—	10	8	no	—
1210	C₂²×D₄	—	10	8	no	—
1211	C₂²×D₄	—	20	4	no	—
1212	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1213	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1214	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1215	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1216	C₂²×D₄	C₂²×D₅	1	8	yes	—
1217	C₂³×C₄	—	4	4	no	—
1218	C₂³×C₄	—	5	1	no	—
1219	C₂³×C₄	—	5	1	no	—
1220	C₂³×C₄	—	5	1	no	—
1221	C₂³×C₄	—	5	1	no	—
1222	C₂³×C₄	—	5	1	no	—
1223	C₂³×C₄	—	5	1	no	—
1224	C₂³×C₄	—	5	1	no	—
1225	C₂³×C₄	—	5	1	no	—
1226	C₂³×C₄	—	5	1	no	—
1227	C₂³×C₄	—	5	1	no	—
1228	C₂³×C₄	—	5	1	no	—
1229	C₂³×C₄	—	5	1	no	—
1230	C₂³×C₄	—	5	1	no	—
1231	C₂³×C₄	—	5	1	no	—
1232	C₂³×C₄	—	5	1	no	—
1233	C₂³×C₄	—	5	1	no	—
1234	C₂³×C₄	—	5	1	no	—
1235	C₂³×C₄	—	5	1	no	—
1236	C₂³×C₄	—	5	8	no	—
1237	C₂³×C₄	—	20	4	no	—
1238	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1239	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1240	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1241	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1242	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1243	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1244	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1245	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1246	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1247	C₂³×C₄	C₂²×D₅	1	8	yes	complemented
1248	C₄⋊Q₈	—	5	8	no	—
1249	#127	—	5	8	no	—
1250	#126	—	5	8	no	—
1251	#126	—	5	8	no	—
1252	#126	—	5	8	no	—
1253	#126	—	5	8	no	—
1254	#126	—	5	8	no	—
1255	#126	—	5	8	no	—
1256	#126	—	5	8	no	—
1257	#126	—	5	8	no	—
1258	#126	—	5	8	no	—
1259	#126	—	5	8	no	—
1260	#125	—	5	8	no	—
1261	#125	—	5	8	no	—
1262	#125	—	5	8	no	—
1263	#125	—	5	8	no	—
1264	#125	—	5	8	no	—
1265	#124	—	5	8	no	—
1266	#124	—	5	8	no	—
1267	#124	—	5	8	no	—
1268	#124	—	5	8	no	—
1269	#124	—	5	8	no	—
1270	#124	—	5	8	no	—
1271	#124	—	5	8	no	—
1272	#123	—	5	8	no	—
1273	#123	—	5	8	no	—
1274	#123	—	5	8	no	—
1275	#123	—	5	8	no	—
1276	#123	—	5	8	no	—
1277	#123	—	5	8	no	—
1278	#123	—	5	8	no	—
1279	#123	—	5	8	no	—
1280	#123	—	5	8	no	—
1281	#123	—	5	8	no	—
1282	#123	—	5	8	no	—
1283	#123	—	5	8	no	—
1284	#123	—	5	8	no	—
1285	#123	—	5	8	no	—
1286	#123	—	5	8	no	—
1287	#123	—	5	8	no	—
1288	#123	—	5	8	no	—
1289	#123	—	5	8	no	—
1290	#123	C₂²×D₅	1	8	yes	—
1291	#123	C₂²×D₅	1	8	yes	—
1292	#123	C₂²×D₅	1	8	yes	complemented
1293	#123	C₂²×D₅	1	8	yes	complemented
1294	#123	C₂²×D₅	1	8	yes	complemented
1295	#123	C₂²×D₅	1	8	yes	complemented
1296	#123	C₂²×D₅	1	8	yes	complemented
1297	#123	C₂²×D₅	1	8	yes	complemented
1298	C₂²⋊Q₈	—	5	8	no	—
1299	C₂²⋊Q₈	—	5	8	no	—
1300	C₂²⋊Q₈	—	5	8	no	—
1301	C₂²⋊Q₈	—	5	8	no	—
1302	C₂²⋊Q₈	—	5	8	no	—
1303	C₂²⋊Q₈	—	5	8	no	—
1304	C₂²⋊Q₈	—	5	8	no	—
1305	C₂²⋊Q₈	—	5	8	no	—
1306	C₂²⋊Q₈	—	5	8	no	—
1307	C₂²⋊Q₈	—	5	8	no	—
1308	C₂²⋊Q₈	—	5	8	no	—
1309	C₂²⋊Q₈	—	5	8	no	—
1310	C₂²⋊Q₈	—	5	8	no	—
1311	#121	—	5	8	no	—
1312	#121	—	5	8	no	—
1313	#121	—	5	8	no	—
1314	#121	—	5	8	no	—
1315	#121	—	5	8	no	—
1316	#121	—	5	8	no	—
1317	#121	—	5	8	no	—
1318	#121	—	5	8	no	—
1319	#121	—	5	8	no	—
1320	#121	—	5	8	no	—
1321	#121	—	5	8	no	—
1322	#121	—	5	8	no	—
1323	#121	—	5	8	no	—
1324	#121	—	5	8	no	—
1325	#121	—	5	8	no	—
1326	#121	—	5	8	no	—
1327	#121	—	5	8	no	—
1328	#120	—	5	8	no	—
1329	#120	—	5	8	no	—
1330	#120	—	5	8	no	—
1331	#120	—	5	8	no	—
1332	#120	—	5	8	no	—
1333	#120	—	5	8	no	—
1334	#120	—	5	8	no	—
1335	#120	—	5	8	no	—
1336	C₄×Q₈	—	5	8	no	—
1337	C₄×Q₈	—	5	8	no	—
1338	C₄×Q₈	—	5	8	no	—
1339	C₄×D₄	—	5	8	no	—
1340	C₄×D₄	—	5	8	no	—
1341	C₄×D₄	—	5	8	no	—
1342	C₄×D₄	—	5	8	no	—
1343	C₄×D₄	—	5	8	no	—
1344	C₄×D₄	—	5	8	no	—
1345	C₄×D₄	—	5	8	no	—
1346	C₄×D₄	—	5	8	no	—
1347	C₄×D₄	—	5	8	no	—
1348	C₄×D₄	—	5	8	no	—
1349	C₄×D₄	—	5	8	no	—
1350	C₄×D₄	—	5	8	no	—
1351	C₄×D₄	—	5	8	no	—
1352	C₄×D₄	—	5	8	no	—
1353	C₄×D₄	—	5	8	no	—
1354	C₄×D₄	—	5	8	no	—
1355	C₄×D₄	—	5	8	no	—
1356	C₄×D₄	—	5	8	no	—
1357	C₄×D₄	—	5	8	no	—
1358	C₄×D₄	—	5	8	no	—
1359	C₄×D₄	—	5	8	no	—
1360	C₄×D₄	—	5	8	no	—
1361	C₄×D₄	—	5	8	no	—
1362	C₄×D₄	—	5	8	no	—
1363	C₄×D₄	—	5	8	no	—
1364	C₄×D₄	—	5	8	no	—
1365	C₄×D₄	—	5	8	no	—
1366	C₄×D₄	—	5	8	no	—
1367	C₄×D₄	—	5	8	no	—
1368	#117	—	5	8	no	—
1369	#117	—	5	8	no	—
1370	#117	—	5	8	no	—
1371	#117	—	5	8	no	—
1372	#117	—	5	8	no	—
1373	#117	—	5	8	no	—
1374	#117	—	5	8	no	—
1375	#117	—	5	8	no	—
1376	#117	—	5	8	no	—
1377	C₂×C₄⋊C₄	—	5	1	no	—
1378	C₂×C₄⋊C₄	—	5	1	no	—
1379	C₂×C₄⋊C₄	—	5	1	no	—
1380	C₂×C₄⋊C₄	—	5	1	no	—
1381	C₂×C₄⋊C₄	—	5	1	no	—
1382	C₂×C₄⋊C₄	—	5	1	no	—
1383	C₂×C₄⋊C₄	—	5	8	no	—
1384	C₂×C₄⋊C₄	—	5	1	no	—
1385	C₂×C₄⋊C₄	—	5	1	no	—
1386	C₂×C₄⋊C₄	—	5	1	no	—
1387	C₂×C₄⋊C₄	—	5	1	no	—
1388	C₂×C₄⋊C₄	—	5	1	no	—
1389	C₂×C₄⋊C₄	—	5	1	no	—
1390	C₂×C₄⋊C₄	—	5	1	no	—
1391	C₂×C₄⋊C₄	—	5	1	no	—
1392	C₂×C₄⋊C₄	—	5	1	no	—
1393	C₂×C₄⋊C₄	—	5	1	no	—
1394	C₂×C₄⋊C₄	—	5	1	no	—
1395	C₂×C₄⋊C₄	—	5	1	no	—
1396	C₂×C₄⋊C₄	—	5	1	no	—
1397	C₂×C₄⋊C₄	—	5	1	no	—
1398	C₂×C₄⋊C₄	—	5	1	no	—
1399	C₂×C₄⋊C₄	—	5	1	no	—
1400	C₂×C₄⋊C₄	—	5	1	no	—
1401	C₂×C₄⋊C₄	—	5	1	no	—
1402	C₂×C₄⋊C₄	—	5	1	no	—
1403	C₂×C₄⋊C₄	—	5	1	no	—
1404	C₂×C₄⋊C₄	—	5	1	no	—
1405	C₂×C₄⋊C₄	—	5	1	no	—
1406	C₂×C₄⋊C₄	—	5	8	no	—
1407	C₂×C₄⋊C₄	—	5	8	no	—
1408	C₂×C₄⋊C₄	—	5	8	no	—
1409	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1410	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1411	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1412	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1413	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1414	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1415	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1416	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1417	C₂×C₄⋊C₄	C₂²×D₅	1	8	yes	complemented
1418	C₂×C₄⋊C₄	C₂²×D₅	1	8	yes	complemented
1419	C₂×C₂²⋊C₄	—	5	1	no	—
1420	C₂×C₂²⋊C₄	—	5	1	no	—
1421	C₂×C₂²⋊C₄	—	5	1	no	—
1422	C₂×C₂²⋊C₄	—	5	1	no	—
1423	C₂×C₂²⋊C₄	—	5	1	no	—
1424	C₂×C₂²⋊C₄	—	5	1	no	—
1425	C₂×C₂²⋊C₄	—	5	1	no	—
1426	C₂×C₂²⋊C₄	—	5	1	no	—
1427	C₂×C₂²⋊C₄	—	5	1	no	—
1428	C₂×C₂²⋊C₄	—	5	8	no	—
1429	C₂×C₂²⋊C₄	—	5	8	no	—
1430	C₂×C₂²⋊C₄	—	5	1	no	—
1431	C₂×C₂²⋊C₄	—	5	1	no	—
1432	C₂×C₂²⋊C₄	—	5	1	no	—
1433	C₂×C₂²⋊C₄	—	5	1	no	—
1434	C₂×C₂²⋊C₄	—	5	1	no	—
1435	C₂×C₂²⋊C₄	—	5	1	no	—
1436	C₂×C₂²⋊C₄	—	5	1	no	—
1437	C₂×C₂²⋊C₄	—	5	1	no	—
1438	C₂×C₂²⋊C₄	—	5	1	no	—
1439	C₂×C₂²⋊C₄	—	5	1	no	—
1440	C₂×C₂²⋊C₄	—	5	1	no	—
1441	C₂×C₂²⋊C₄	—	5	1	no	—
1442	C₂×C₂²⋊C₄	—	5	1	no	—
1443	C₂×C₂²⋊C₄	—	5	1	no	—
1444	C₂×C₂²⋊C₄	—	5	1	no	—
1445	C₂×C₂²⋊C₄	—	5	8	no	—
1446	C₂×C₂²⋊C₄	—	5	1	no	—
1447	C₂×C₂²⋊C₄	—	5	1	no	—
1448	C₂×C₂²⋊C₄	—	5	1	no	—
1449	C₂×C₂²⋊C₄	—	5	1	no	—
1450	C₂×C₂²⋊C₄	—	5	1	no	—
1451	C₂×C₂²⋊C₄	—	5	1	no	—
1452	C₂×C₂²⋊C₄	—	5	1	no	—
1453	C₂×C₂²⋊C₄	—	5	1	no	—
1454	C₂×C₂²⋊C₄	—	5	1	no	—
1455	C₂×C₂²⋊C₄	—	5	1	no	—
1456	C₂×C₂²⋊C₄	—	5	1	no	—
1457	C₂×C₂²⋊C₄	—	5	1	no	—
1458	C₂×C₂²⋊C₄	—	5	8	no	—
1459	C₂×C₂²⋊C₄	—	5	8	no	—
1460	C₂×C₂²⋊C₄	—	5	8	no	—
1461	C₂×C₂²⋊C₄	—	5	8	no	—
1462	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1463	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1464	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1465	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1466	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1467	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1468	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1469	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1470	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1471	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1472	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1473	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1474	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	complemented
1475	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	complemented
1476	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	complemented
1477	C₂×C₄²	—	5	1	no	—
1478	C₂×C₄²	—	5	1	no	—
1479	C₂×C₄²	—	5	1	no	—
1480	C₂×C₄²	—	5	1	no	—
1481	C₂×C₄²	—	5	1	no	—
1482	C₂×C₄²	—	5	1	no	—
1483	C₂×C₄²	—	5	1	no	—
1484	C₂×C₄²	—	5	1	no	—
1485	C₂×C₄²	—	5	1	no	—
1486	C₂×C₄²	—	5	1	no	—
1487	C₂×C₄²	—	5	1	no	—
1488	C₂×C₄²	—	5	1	no	—
1489	C₂×C₄²	—	5	8	no	—
1490	C₂²×C₅	—	2	2	no	—
1491	C₂²×C₅	—	2	2	no	—
1492	C₂²×C₅	—	2	2	no	—
1493	C₂²×C₅	—	2	2	no	—
1494	C₂²×C₅	—	2	8	no	—
1495	C₂²×C₅	—	2	8	no	—
1496	C₂²×C₅	—	2	2	no	—
1497	C₂²×C₅	—	2	2	no	—
1498	C₂²×C₅	—	2	2	no	—
1499	C₂²×C₅	—	2	2	no	—
1500	C₂²×C₅	—	2	2	no	—
1501	C₂²×C₅	—	2	2	no	—
1502	C₂²×C₅	—	2	2	no	—
1503	C₂²×C₅	—	2	2	no	—
1504	C₂²×C₅	—	2	2	no	—
1505	C₂²×C₅	—	4	16	no	—
1506	C₂²×C₅	—	4	4	no	—
1507	C₂²×C₅	—	4	4	no	—
1508	C₂²×C₅	—	4	4	no	—
1509	C₂²×C₅	—	8	8	no	—
1510	C₂²×C₅	C₂²×#41	1	4	yes	—
1511	C₂²×C₅	C₂²×#41	1	2	yes	—
1512	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1513	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1514	C₂²×C₅	#585	1	2	yes	—
1515	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1516	C₂×D₅	—	2	2	no	—
1517	C₂×D₅	—	2	2	no	—
1518	C₂×D₅	—	2	8	no	—
1519	C₂×D₅	—	2	2	no	—
1520	C₂×D₅	—	2	2	no	—
1521	C₂×D₅	—	2	2	no	—
1522	C₂×D₅	—	2	2	no	—
1523	C₂×D₅	—	2	2	no	—
1524	C₂×D₅	—	2	2	no	—
1525	C₂×D₅	—	2	2	no	—
1526	C₂×D₅	—	2	2	no	—
1527	C₂×D₅	—	2	2	no	—
1528	C₂×D₅	—	4	16	no	—
1529	C₂×D₅	—	4	4	no	—
1530	C₂×D₅	—	4	4	no	—
1531	C₂×D₅	—	4	4	no	—
1532	C₂×D₅	—	8	8	no	—
1533	C₂×D₅	C₂²×#41	1	4	yes	—
1534	C₄×C₅	—	2	2	no	—
1535	C₄×C₅	—	2	2	no	—
1536	C₄×C₅	—	2	2	no	—
1537	C₄×C₅	—	2	2	no	—
1538	C₄×C₅	—	2	2	no	—
1539	C₄×C₅	—	2	2	no	—
1540	C₄×C₅	—	2	2	no	—
1541	C₄×C₅	—	2	2	no	—
1542	C₄×C₅	—	2	2	no	—
1543	C₄×C₅	—	2	2	no	—
1544	Dic₅	—	2	2	no	—
1545	Dic₅	—	2	2	no	—
1546	Dic₅	—	2	2	no	—
1547	Dic₅	—	2	2	no	—
1548	Dic₅	—	2	2	no	—
1549	Dic₅	—	2	2	no	—
1550	Dic₅	—	2	2	no	—
1551	Dic₅	—	2	2	no	—
1552	Dic₅	—	2	2	no	—
1553	Dic₅	—	2	2	no	—
1554	Dic₅	—	2	2	no	—
1555	Dic₅	C₂²×#41	1	4	yes	—
1556	C₂⁴	—	2	4	no	—
1557	C₂⁴	—	2	4	no	—
1558	C₂⁴	—	2	4	no	—
1559	C₂⁴	—	4	2	no	—
1560	C₂⁴	—	4	2	no	—
1561	C₂⁴	—	4	2	no	—
1562	C₂⁴	—	5	1	no	—
1563	C₂⁴	—	5	1	no	—
1564	C₂⁴	—	5	1	no	—
1565	C₂⁴	—	5	1	no	—
1566	C₂⁴	—	5	4	no	—
1567	C₂⁴	—	5	4	no	—
1568	C₂⁴	—	10	4	no	—
1569	C₂⁴	—	10	4	no	—
1570	C₂⁴	—	10	4	no	—
1571	C₂⁴	—	20	2	no	—
1572	C₂⁴	—	20	2	no	—
1573	C₂⁴	—	20	2	no	—
1574	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1575	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1576	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1577	C₂⁴	C₂³×D₅	1	4	yes	—
1578	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1579	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1580	C₂⁴	C₂³×D₅	1	4	yes	—
1581	#41	—	10	32	no	—
1582	#41	—	20	16	no	—
1583	#41	—	20	16	no	—
1584	C₂×Q₈	—	5	4	no	—
1585	C₂×Q₈	—	5	4	no	—
1586	C₂×Q₈	—	5	4	no	—
1587	C₂×Q₈	—	5	4	no	—
1588	C₂×Q₈	—	10	4	no	—
1589	C₂×Q₈	—	20	2	no	—
1590	C₂×Q₈	—	20	2	no	—
1591	C₂×Q₈	—	20	2	no	—
1592	C₂×D₄	—	2	4	no	—
1593	C₂×D₄	—	2	4	no	—
1594	C₂×D₄	—	4	2	no	—
1595	C₂×D₄	—	4	2	no	—
1596	C₂×D₄	—	4	16	no	—
1597	C₂×D₄	—	5	8	no	—
1598	C₂×D₄	—	5	4	no	—
1599	C₂×D₄	—	5	4	no	—
1600	C₂×D₄	—	5	4	no	—
1601	C₂×D₄	—	5	4	no	—
1602	C₂×D₄	—	5	4	no	—
1603	C₂×D₄	—	5	4	no	—
1604	C₂×D₄	—	5	4	no	—
1605	C₂×D₄	—	5	4	no	—
1606	C₂×D₄	—	5	4	no	—
1607	C₂×D₄	—	5	4	no	—
1608	C₂×D₄	—	5	4	no	—
1609	C₂×D₄	—	5	4	no	—
1610	C₂×D₄	—	5	4	no	—
1611	C₂×D₄	—	5	4	no	—
1612	C₂×D₄	—	5	4	no	—
1613	C₂×D₄	—	5	4	no	—
1614	C₂×D₄	—	5	4	no	—
1615	C₂×D₄	—	5	4	no	—
1616	C₂×D₄	—	5	4	no	—
1617	C₂×D₄	—	5	4	no	—
1618	C₂×D₄	—	10	4	no	—
1619	C₂×D₄	—	10	4	no	—
1620	C₂×D₄	—	10	4	no	—
1621	C₂×D₄	—	10	32	no	—
1622	C₂×D₄	—	10	32	no	—
1623	C₂×D₄	—	10	4	no	—
1624	C₂×D₄	—	10	4	no	—
1625	C₂×D₄	—	10	4	no	—
1626	C₂×D₄	—	10	4	no	—
1627	C₂×D₄	—	10	4	no	—
1628	C₂×D₄	—	10	4	no	—
1629	C₂×D₄	—	10	4	no	—
1630	C₂×D₄	—	20	2	no	—
1631	C₂×D₄	—	20	2	no	—
1632	C₂×D₄	—	20	2	no	—
1633	C₂×D₄	—	20	2	no	—
1634	C₂×D₄	—	20	2	no	—
1635	C₂×D₄	—	20	2	no	—
1636	C₂×D₄	—	20	2	no	—
1637	C₂×D₄	—	20	2	no	—
1638	C₂×D₄	—	20	2	no	—
1639	C₂×D₄	—	20	16	no	—
1640	C₂×D₄	C₂³×D₅	1	4	yes	—
1641	C₂×D₄	C₂³×D₅	1	4	yes	—
1642	C₂×D₄	C₂³×D₅	1	4	yes	—
1643	C₂×D₄	C₂³×D₅	1	4	yes	—
1644	C₂²×C₄	—	2	4	no	—
1645	C₂²×C₄	—	2	4	no	—
1646	C₂²×C₄	—	2	4	no	—
1647	C₂²×C₄	—	4	2	no	—
1648	C₂²×C₄	—	4	2	no	—
1649	C₂²×C₄	—	4	2	no	—
1650	C₂²×C₄	—	4	2	no	—
1651	C₂²×C₄	—	4	16	no	—
1652	C₂²×C₄	—	4	2	no	—
1653	C₂²×C₄	—	4	2	no	—
1654	C₂²×C₄	—	5	1	no	—
1655	C₂²×C₄	—	5	4	no	—
1656	C₂²×C₄	—	5	4	no	—
1657	C₂²×C₄	—	5	4	no	—
1658	C₂²×C₄	—	5	1	no	—
1659	C₂²×C₄	—	5	1	no	—
1660	C₂²×C₄	—	5	1	no	—
1661	C₂²×C₄	—	5	1	no	—
1662	C₂²×C₄	—	5	1	no	—
1663	C₂²×C₄	—	5	1	no	—
1664	C₂²×C₄	—	5	1	no	—
1665	C₂²×C₄	—	5	1	no	—
1666	C₂²×C₄	—	5	1	no	—
1667	C₂²×C₄	—	5	1	no	—
1668	C₂²×C₄	—	5	1	no	—
1669	C₂²×C₄	—	5	4	no	—
1670	C₂²×C₄	—	5	4	no	—
1671	C₂²×C₄	—	5	4	no	—
1672	C₂²×C₄	—	5	4	no	—
1673	C₂²×C₄	—	5	4	no	—
1674	C₂²×C₄	—	5	4	no	—
1675	C₂²×C₄	—	5	4	no	—
1676	C₂²×C₄	—	5	4	no	—
1677	C₂²×C₄	—	5	4	no	—
1678	C₂²×C₄	—	5	4	no	—
1679	C₂²×C₄	—	5	4	no	—
1680	C₂²×C₄	—	5	4	no	—
1681	C₂²×C₄	—	5	4	no	—
1682	C₂²×C₄	—	5	4	no	—
1683	C₂²×C₄	—	5	4	no	—
1684	C₂²×C₄	—	10	4	no	—
1685	C₂²×C₄	—	10	4	no	—
1686	C₂²×C₄	—	10	4	no	—
1687	C₂²×C₄	—	10	4	no	—
1688	C₂²×C₄	—	10	4	no	—
1689	C₂²×C₄	—	20	2	no	—
1690	C₂²×C₄	—	20	2	no	—
1691	C₂²×C₄	—	20	2	no	—
1692	C₂²×C₄	—	20	2	no	—
1693	C₂²×C₄	—	20	16	no	—
1694	C₂²×C₄	—	20	2	no	—
1695	C₂²×C₄	—	20	2	no	—
1696	C₂²×C₄	—	20	2	no	—
1697	C₂²×C₄	—	20	2	no	—
1698	C₂²×C₄	—	20	2	no	—
1699	C₂²×C₄	—	20	2	no	—
1700	C₂²×C₄	—	20	2	no	—
1701	C₂²×C₄	—	20	2	no	—
1702	C₂²×C₄	—	20	2	no	—
1703	C₂²×C₄	C₂³×D₅	1	4	yes	—
1704	C₂²×C₄	C₂³×D₅	1	4	yes	—
1705	C₂²×C₄	C₂³×D₅	1	4	yes	—
1706	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1707	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1708	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1709	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1710	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1711	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1712	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1713	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1714	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1715	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1716	C₂²×C₄	C₂³×D₅	1	4	yes	—
1717	C₂²×C₄	C₂³×D₅	1	4	yes	—
1718	C₂²×C₄	C₂³×D₅	1	4	yes	—
1719	C₂²×C₄	C₂³×D₅	1	4	yes	—
1720	C₂²×C₄	C₂³×D₅	1	4	yes	—
1721	C₂²×C₄	C₂³×D₅	1	4	yes	—
1722	C₄⋊C₄	—	5	4	no	—
1723	C₄⋊C₄	—	5	4	no	—
1724	C₄⋊C₄	—	5	4	no	—
1725	C₄⋊C₄	—	5	4	no	—
1726	C₄⋊C₄	—	5	4	no	—
1727	C₄⋊C₄	—	5	4	no	—
1728	C₄⋊C₄	—	5	4	no	—
1729	C₄⋊C₄	—	5	4	no	—
1730	C₄⋊C₄	—	5	4	no	—
1731	C₄⋊C₄	—	5	4	no	—
1732	C₄⋊C₄	—	5	4	no	—
1733	C₄⋊C₄	—	5	4	no	—
1734	C₄⋊C₄	—	5	4	no	—
1735	C₄⋊C₄	—	5	4	no	—
1736	C₄⋊C₄	—	5	4	no	—
1737	C₄⋊C₄	—	5	4	no	—
1738	C₄⋊C₄	—	5	4	no	—
1739	C₄⋊C₄	—	5	4	no	—
1740	C₄⋊C₄	—	5	4	no	—
1741	C₄⋊C₄	—	5	4	no	—
1742	C₄⋊C₄	—	5	4	no	—
1743	C₄⋊C₄	—	5	4	no	—
1744	C₄⋊C₄	—	5	4	no	—
1745	C₄⋊C₄	—	5	4	no	—
1746	C₄⋊C₄	—	5	4	no	—
1747	C₄⋊C₄	—	5	4	no	—
1748	C₄⋊C₄	—	5	4	no	—
1749	C₄⋊C₄	—	5	4	no	—
1750	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1751	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1752	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1753	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1754	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1755	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1756	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1757	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1758	C₂²⋊C₄	—	5	4	no	—
1759	C₂²⋊C₄	—	5	4	no	—
1760	C₂²⋊C₄	—	5	4	no	—
1761	C₂²⋊C₄	—	5	4	no	—
1762	C₂²⋊C₄	—	5	4	no	—
1763	C₂²⋊C₄	—	5	4	no	—
1764	C₂²⋊C₄	—	5	4	no	—
1765	C₂²⋊C₄	—	5	4	no	—
1766	C₂²⋊C₄	—	5	4	no	—
1767	C₂²⋊C₄	—	5	4	no	—
1768	C₂²⋊C₄	—	5	4	no	—
1769	C₂²⋊C₄	—	5	4	no	—
1770	C₂²⋊C₄	—	5	4	no	—
1771	C₂²⋊C₄	—	5	4	no	—
1772	C₂²⋊C₄	—	5	4	no	—
1773	C₂²⋊C₄	—	5	4	no	—
1774	C₂²⋊C₄	—	5	4	no	—
1775	C₂²⋊C₄	—	5	4	no	—
1776	C₂²⋊C₄	—	5	4	no	—
1777	C₂²⋊C₄	—	5	4	no	—
1778	C₂²⋊C₄	—	5	4	no	—
1779	C₂²⋊C₄	—	5	4	no	—
1780	C₂²⋊C₄	—	5	4	no	—
1781	C₂²⋊C₄	—	5	4	no	—
1782	C₂²⋊C₄	—	5	4	no	—
1783	C₂²⋊C₄	—	5	4	no	—
1784	C₂²⋊C₄	—	5	4	no	—
1785	C₂²⋊C₄	—	5	4	no	—
1786	C₂²⋊C₄	—	5	4	no	—
1787	C₂²⋊C₄	—	5	4	no	—
1788	C₂²⋊C₄	—	5	4	no	—
1789	C₂²⋊C₄	—	5	4	no	—
1790	C₂²⋊C₄	—	5	4	no	—
1791	C₂²⋊C₄	—	5	4	no	—
1792	C₂²⋊C₄	—	5	4	no	—
1793	C₂²⋊C₄	—	5	4	no	—
1794	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1795	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1796	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1797	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1798	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1799	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1800	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1801	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1802	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1803	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1804	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1805	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1806	C₄²	—	5	4	no	—
1807	C₄²	—	5	4	no	—
1808	C₄²	—	5	4	no	—
1809	C₄²	—	5	4	no	—
1810	C₄²	—	5	4	no	—
1811	C₄²	—	5	4	no	—
1812	C₄²	—	5	4	no	—
1813	C₄²	—	5	4	no	—
1814	C₄²	—	5	4	no	—
1815	C₄²	—	5	4	no	—
1816	C₄²	—	5	4	no	—
1817	C₄²	—	5	4	no	—
1818	C₂×C₅	—	2	4	no	—
1819	C₂×C₅	—	2	4	no	—
1820	C₂×C₅	—	4	2	no	—
1821	C₂×C₅	—	4	2	no	—
1822	C₂×C₅	—	4	2	no	—
1823	C₂×C₅	#3513	1	4	yes	complemented
1824	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1825	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1826	C₂×C₅	C₂×#585	1	1	yes	characteristic
1827	D₅	—	2	4	no	—
1828	D₅	—	4	2	no	—
1829	D₅	—	4	2	no	—
1830	D₅	—	4	2	no	—
1831	C₂³	—	2	2	no	—
1832	C₂³	—	2	2	no	—
1833	C₂³	—	2	2	no	—
1834	C₂³	—	2	2	no	—
1835	C₂³	—	2	8	no	—
1836	C₂³	—	2	2	no	—
1837	C₂³	—	2	2	no	—
1838	C₂³	—	2	2	no	—
1839	C₂³	—	2	2	no	—
1840	C₂³	—	2	8	no	—
1841	C₂³	—	2	2	no	—
1842	C₂³	—	2	2	no	—
1843	C₂³	—	2	2	no	—
1844	C₂³	—	2	2	no	—
1845	C₂³	—	2	2	no	—
1846	C₂³	—	2	8	no	—
1847	C₂³	—	4	4	no	—
1848	C₂³	—	4	4	no	—
1849	C₂³	—	4	4	no	—
1850	C₂³	—	4	16	no	—
1851	C₂³	—	5	4	no	—
1852	C₂³	—	5	2	no	—
1853	C₂³	—	5	2	no	—
1854	C₂³	—	5	2	no	—
1855	C₂³	—	5	2	no	—
1856	C₂³	—	8	8	no	—
1857	C₂³	—	10	8	no	—
1858	C₂³	—	10	8	no	—
1859	C₂³	—	10	2	no	—
1860	C₂³	—	10	2	no	—
1861	C₂³	—	10	2	no	—
1862	C₂³	—	10	8	no	—
1863	C₂³	—	10	2	no	—
1864	C₂³	—	10	2	no	—
1865	C₂³	—	10	2	no	—
1866	C₂³	—	10	2	no	—
1867	C₂³	—	10	2	no	—
1868	C₂³	—	10	2	no	—
1869	C₂³	—	10	2	no	—
1870	C₂³	—	10	2	no	—
1871	C₂³	—	20	4	no	—
1872	C₂³	—	20	4	no	—
1873	C₂³	—	20	4	no	—
1874	C₂³	—	20	16	no	—
1875	C₂³	—	40	8	no	—
1876	C₂³	#4144	1	4	yes	—
1877	C₂³	D₅×#41	1	4	yes	—
1878	C₂³	C₂⁴×D₅	1	2	yes	—
1879	C₂³	C₂⁴×D₅	1	2	yes	—
1880	C₂³	C₂⁴×D₅	1	2	yes	—
1881	C₂³	C₂⁴×D₅	1	2	yes	—
1882	C₂³	C₂⁴×D₅	1	2	yes	—
1883	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1884	Q₈	—	10	8	no	—
1885	Q₈	—	20	4	no	—
1886	Q₈	—	20	4	no	—
1887	Q₈	—	20	4	no	—
1888	D₄	—	2	8	no	—
1889	D₄	—	2	8	no	—
1890	D₄	—	4	4	no	—
1891	D₄	—	4	4	no	—
1892	D₄	—	5	16	no	—
1893	D₄	—	10	8	no	—
1894	D₄	—	10	8	no	—
1895	D₄	—	10	8	no	—
1896	D₄	—	10	8	no	—
1897	D₄	—	10	8	no	—
1898	D₄	—	10	8	no	—
1899	D₄	—	10	8	no	—
1900	D₄	—	10	8	no	—
1901	D₄	—	10	8	no	—
1902	D₄	—	10	8	no	—
1903	D₄	—	20	4	no	—
1904	D₄	—	20	4	no	—
1905	D₄	—	20	4	no	—
1906	D₄	—	20	4	no	—
1907	D₄	—	20	4	no	—
1908	D₄	—	20	4	no	—
1909	D₄	—	20	4	no	—
1910	D₄	—	20	4	no	—
1911	D₄	—	20	4	no	—
1912	C₂×C₄	—	2	8	no	—
1913	C₂×C₄	—	2	2	no	—
1914	C₂×C₄	—	2	2	no	—
1915	C₂×C₄	—	2	2	no	—
1916	C₂×C₄	—	2	2	no	—
1917	C₂×C₄	—	2	8	no	—
1918	C₂×C₄	—	2	2	no	—
1919	C₂×C₄	—	2	2	no	—
1920	C₂×C₄	—	2	2	no	—
1921	C₂×C₄	—	2	2	no	—
1922	C₂×C₄	—	2	8	no	—
1923	C₂×C₄	—	2	2	no	—
1924	C₂×C₄	—	2	2	no	—
1925	C₂×C₄	—	4	4	no	—
1926	C₂×C₄	—	4	4	no	—
1927	C₂×C₄	—	4	4	no	—
1928	C₂×C₄	—	4	4	no	—
1929	C₂×C₄	—	4	4	no	—
1930	C₂×C₄	—	4	4	no	—
1931	C₂×C₄	—	5	4	no	—
1932	C₂×C₄	—	5	2	no	—
1933	C₂×C₄	—	5	2	no	—
1934	C₂×C₄	—	5	2	no	—
1935	C₂×C₄	—	5	2	no	—
1936	C₂×C₄	—	5	2	no	—
1937	C₂×C₄	—	5	2	no	—
1938	C₂×C₄	—	5	2	no	—
1939	C₂×C₄	—	5	2	no	—
1940	C₂×C₄	—	5	2	no	—
1941	C₂×C₄	—	5	2	no	—
1942	C₂×C₄	—	5	2	no	—
1943	C₂×C₄	—	5	2	no	—
1944	C₂×C₄	—	10	8	no	—
1945	C₂×C₄	—	10	8	no	—
1946	C₂×C₄	—	10	8	no	—
1947	C₂×C₄	—	10	8	no	—
1948	C₂×C₄	—	10	2	no	—
1949	C₂×C₄	—	10	2	no	—
1950	C₂×C₄	—	10	8	no	—
1951	C₂×C₄	—	10	2	no	—
1952	C₂×C₄	—	10	2	no	—
1953	C₂×C₄	—	10	2	no	—
1954	C₂×C₄	—	10	2	no	—
1955	C₂×C₄	—	10	2	no	—
1956	C₂×C₄	—	10	2	no	—
1957	C₂×C₄	—	10	2	no	—
1958	C₂×C₄	—	10	2	no	—
1959	C₂×C₄	—	10	2	no	—
1960	C₂×C₄	—	20	4	no	—
1961	C₂×C₄	—	20	4	no	—
1962	C₂×C₄	—	20	4	no	—
1963	C₂×C₄	—	20	4	no	—
1964	C₂×C₄	—	20	4	no	—
1965	C₂×C₄	—	20	4	no	—
1966	C₂×C₄	—	20	4	no	—
1967	C₂×C₄	—	20	4	no	—
1968	C₂×C₄	—	20	4	no	—
1969	C₂×C₄	—	20	4	no	—
1970	C₂×C₄	—	20	4	no	—
1971	C₂×C₄	—	20	4	no	—
1972	C₂×C₄	—	20	4	no	—
1973	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1974	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1975	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1976	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1977	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1978	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1979	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1980	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1981	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1982	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1983	C₅	C₂×#3513	1	1	yes	characteristic, complemented, Sylow
1984	C₂²	—	2	2	no	—
1985	C₂²	—	2	2	no	—
1986	C₂²	—	2	2	no	—
1987	C₂²	—	2	2	no	—
1988	C₂²	—	2	8	no	—
1989	C₂²	—	2	8	no	—
1990	C₂²	—	2	2	no	—
1991	C₂²	—	2	2	no	—
1992	C₂²	—	2	2	no	—
1993	C₂²	—	2	2	no	—
1994	C₂²	—	2	2	no	—
1995	C₂²	—	2	2	no	—
1996	C₂²	—	2	2	no	—
1997	C₂²	—	2	2	no	—
1998	C₂²	—	2	2	no	—
1999	C₂²	—	4	16	no	—
2000	C₂²	—	4	4	no	—
2001	C₂²	—	4	4	no	—
2002	C₂²	—	4	4	no	—
2003	C₂²	—	5	4	no	—
2004	C₂²	—	8	8	no	—
2005	C₂²	—	10	2	no	—
2006	C₂²	—	10	2	no	—
2007	C₂²	—	10	8	no	—
2008	C₂²	—	10	2	no	—
2009	C₂²	—	10	2	no	—
2010	C₂²	—	10	2	no	—
2011	C₂²	—	10	2	no	—
2012	C₂²	—	10	2	no	—
2013	C₂²	—	10	2	no	—
2014	C₂²	—	10	2	no	—
2015	C₂²	—	10	2	no	—
2016	C₂²	—	10	2	no	—
2017	C₂²	—	20	16	no	—
2018	C₂²	—	20	4	no	—
2019	C₂²	—	20	4	no	—
2020	C₂²	—	20	4	no	—
2021	C₂²	—	40	8	no	—
2022	C₂²	C₂×#4144	1	4	yes	—
2023	C₂²	C₂×#4144	1	2	yes	—
2024	C₂²	C₂×D₅×#41	1	4	yes	—
2025	C₂²	C₂×D₅×#41	1	2	yes	—
2026	C₂²	#66283	1	2	yes	—
2027	C₂²	C₂⁵×D₅	1	1	yes	characteristic
2028	C₄	—	2	2	no	—
2029	C₄	—	2	2	no	—
2030	C₄	—	2	2	no	—
2031	C₄	—	2	2	no	—
2032	C₄	—	2	2	no	—
2033	C₄	—	2	2	no	—
2034	C₄	—	2	2	no	—
2035	C₄	—	2	2	no	—
2036	C₄	—	2	2	no	—
2037	C₄	—	2	2	no	—
2038	C₄	—	5	4	no	—
2039	C₄	—	10	2	no	—
2040	C₄	—	10	2	no	—
2041	C₄	—	10	2	no	—
2042	C₄	—	10	2	no	—
2043	C₄	—	10	2	no	—
2044	C₄	—	10	2	no	—
2045	C₄	—	10	2	no	—
2046	C₄	—	10	2	no	—
2047	C₄	—	10	2	no	—
2048	C₄	—	10	2	no	—
2049	C₄	—	10	2	no	—
2050	C₂	—	2	4	no	—
2051	C₂	—	2	4	no	—
2052	C₂	—	4	2	no	—
2053	C₂	—	4	2	no	—
2054	C₂	—	4	2	no	—
2055	C₂	—	10	4	no	—
2056	C₂	—	20	2	no	—
2057	C₂	—	20	2	no	—
2058	C₂	—	20	2	no	—
2059	C₂	#10617914	1	4	yes	direct product factor
2060	C₂	C₂²×#4144	1	1	yes	characteristic
2061	C₂	C₂²×D₅×#41	1	1	yes	characteristic
2062	C₂	C₂×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂²×C₅×#123	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂²×#123	D₅
hypocenter	C₅	C₂×#3513
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂²×#123

Complements

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

N	H ≅ G/N	type
1. C₂²×C₅×#123	C₂	semidirect
2. C₂×D₄×C₂²⋊D₅	C₂	semidirect
3. C₂×#66140	C₂	semidirect
4. C₂×#66125	C₂	semidirect
5. C₂²×C₄×C₂²⋊D₅	C₂	semidirect
6. #10617914	C₂	direct (N × H)
7. C₂×#65993	C₂	semidirect
8. C₂×#65992	C₂	semidirect
9. C₂×#65989	C₂	semidirect
10. C₂×#65988	C₂	semidirect
11. C₂×#65994	C₂	semidirect
12. C₂×#65991	C₂	semidirect
13. C₂×D₅×#123	C₂	semidirect
14. C₂×#65998	C₂	semidirect
15. C₂×#65995	C₂	semidirect
16. C₂×#65995	C₂	semidirect
17. C₂×#65984	C₂	semidirect
18. C₂×#65996	C₂	semidirect
19. C₂×#65997	C₂	semidirect
20. C₂×#65983	C₂	semidirect
21. C₂×#65983	C₂	semidirect
22. C₂×#65990	C₂	semidirect
23. C₂×#65848	C₂	semidirect
24. C₂×#65849	C₂	semidirect
25. C₂×#65838	C₂	semidirect
26. C₂×#65845	C₂	semidirect
27. C₂×#65824	C₂	semidirect
28. C₂×#65824	C₂	semidirect
29. C₂×#65828	C₂	semidirect
30. C₂×#65820	C₂	semidirect
31. C₂×#65829	C₂	semidirect
32. C₂×#65829	C₂	semidirect
34. C₂⁴×C₄×C₅	C₂²	semidirect
37. C₂²×#711	C₂²	semidirect
40. C₂²×#709	C₂²	semidirect
41. C₂³×C₄×D₅	C₂²	semidirect
44. C₂×C₅×#123	C₂²	semidirect
45. C₂×C₅×#123	C₂²	semidirect
46. C₂×C₅×#123	C₂²	semidirect
47. C₂×C₅×#123	C₂²	semidirect
48. C₂×C₅×#123	C₂²	semidirect
49. C₂×C₅×#123	C₂²	semidirect
50. C₂×C₅×#123	C₂²	semidirect
51. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
52. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
53. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
54. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
55. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
58. C₂×#4099	C₂²	semidirect
59. C₂×#4099	C₂²	semidirect
60. C₂²×C₂²⋊Dic₅	C₂²	semidirect
61. C₂²×C₂²⋊Dic₅	C₂²	semidirect
62. #66140	C₂²	semidirect
67. C₂×#4085	C₂²	semidirect
68. D₄×C₂²⋊D₅	C₂²	semidirect
70. C₂×#4084	C₂²	semidirect
73. C₂×#4082	C₂²	semidirect
75. C₂×#4081	C₂²	semidirect
77. C₂×D₄×Dic₅	C₂²	semidirect
78. #66125	C₂²	semidirect
80. C₂×#4076	C₂²	semidirect
81. C₂×#4076	C₂²	semidirect
82. C₂×#4076	C₂²	semidirect
83. C₂×#4075	C₂²	semidirect
84. C₂×#4075	C₂²	semidirect
85. C₂×#4075	C₂²	semidirect
86. C₂×#4075	C₂²	semidirect
91. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
92. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
93. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
94. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
95. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
96. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
97. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
98. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
99. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
100. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
101. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
102. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
103. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
104. C₂²×#685	C₂²	semidirect
105. C₂×#4072	C₂²	semidirect
106. C₂×#4072	C₂²	semidirect
107. C₂×#4070	C₂²	semidirect
108. C₂×#4070	C₂²	semidirect
109. C₂×#4070	C₂²	semidirect
110. C₂×#4070	C₂²	semidirect
111. C₂²×#683	C₂²	semidirect
112. C₂²×C₄×Dic₅	C₂²	semidirect
113. #65998	C₂²	semidirect
114. #65997	C₂²	semidirect
115. #65996	C₂²	semidirect
116. #65995	C₂²	semidirect
117. #65995	C₂²	semidirect
118. #65994	C₂²	semidirect
119. #65993	C₂²	semidirect
120. #65992	C₂²	semidirect
121. #65991	C₂²	semidirect
122. #65990	C₂²	semidirect
123. #65989	C₂²	semidirect
124. #65988	C₂²	semidirect
125. D₅×#123	C₂²	semidirect
126. #65984	C₂²	semidirect
127. #65983	C₂²	semidirect
128. #65983	C₂²	semidirect
129. #65849	C₂²	semidirect
130. #65848	C₂²	semidirect
131. C₂×#4044	C₂²	semidirect
132. C₂×#4044	C₂²	semidirect
133. C₂×#4044	C₂²	semidirect
134. C₂×#4044	C₂²	semidirect
135. #65845	C₂²	semidirect
136. C₂×#4043	C₂²	semidirect
137. C₂×#4042	C₂²	semidirect
138. C₂×#4042	C₂²	semidirect
139. C₂×#4042	C₂²	semidirect
140. C₂×#4042	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. #65838	C₂²	semidirect
147. C₂×#4039	C₂²	semidirect
148. C₂×#4039	C₂²	semidirect
149. C₂×#4039	C₂²	semidirect
150. C₂×#4038	C₂²	semidirect
151. C₂×#4038	C₂²	semidirect
152. C₂×#4038	C₂²	semidirect
153. C₂×D₅×C₄⋊C₄	C₂²	semidirect
154. C₂×D₅×C₄⋊C₄	C₂²	semidirect
155. C₂×D₅×C₄⋊C₄	C₂²	semidirect
156. C₂×#4036	C₂²	semidirect
157. C₂×#4035	C₂²	semidirect
158. C₂×#4035	C₂²	semidirect
159. C₂×#4035	C₂²	semidirect
160. C₂×#4035	C₂²	semidirect
161. C₂×#4034	C₂²	semidirect
162. C₂×#4033	C₂²	semidirect
163. C₂×#4033	C₂²	semidirect
164. C₂×#4033	C₂²	semidirect
165. #65829	C₂²	semidirect
166. #65829	C₂²	semidirect
167. #65828	C₂²	semidirect
168. C₂×#4032	C₂²	semidirect
169. C₂×#4032	C₂²	semidirect
170. C₂×#4031	C₂²	semidirect
171. C₂×#4031	C₂²	semidirect
172. C₂×#4031	C₂²	semidirect
173. C₂×#4031	C₂²	semidirect
174. C₂×#4031	C₂²	semidirect
175. C₂×#4031	C₂²	semidirect
176. #65824	C₂²	semidirect
177. #65824	C₂²	semidirect
178. C₂×#4030	C₂²	semidirect
179. C₂×#4030	C₂²	semidirect
180. C₂×#4030	C₂²	semidirect
181. C₂×#4030	C₂²	semidirect
182. C₂×#4030	C₂²	semidirect
183. C₂×#4030	C₂²	semidirect
184. C₂×#4029	C₂²	semidirect
185. C₂×#4029	C₂²	semidirect
186. C₂×#4029	C₂²	semidirect
187. C₂×#4029	C₂²	semidirect
188. C₂×#4029	C₂²	semidirect
189. C₂×#4029	C₂²	semidirect
190. C₂×#4028	C₂²	semidirect
191. C₂×#4028	C₂²	semidirect
192. #65820	C₂²	semidirect
193. C₂×#4027	C₂²	semidirect
194. C₂×#4027	C₂²	semidirect
195. C₂×#4027	C₂²	semidirect
196. C₂×#4027	C₂²	semidirect
197. C₂×#4027	C₂²	semidirect
198. C₂×#4027	C₂²	semidirect
199. C₂×#4027	C₂²	semidirect
200. C₂×#4027	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×#4025	C₂²	semidirect
206. C₂×#4025	C₂²	semidirect
207. C₂×#4025	C₂²	semidirect
208. C₂×#4025	C₂²	semidirect
209. C₂×#4025	C₂²	semidirect
210. C₂×#4025	C₂²	semidirect
211. C₂×#4024	C₂²	semidirect
212. C₂×#4024	C₂²	semidirect
213. C₂×#4024	C₂²	semidirect
214. C₂×#4024	C₂²	semidirect
215. C₂×#4023	C₂²	semidirect
216. C₂×#4023	C₂²	semidirect
217. C₂×#4023	C₂²	semidirect
218. C₂×#4023	C₂²	semidirect
240. C₂³×C₄×C₅	C₂³	semidirect
268. C₂×#711	C₂³	semidirect
274. C₂×#709	C₂³	semidirect
292. C₂²×C₄×D₅	C₂³	semidirect
299. C₅×#123	C₂³	semidirect
300. C₅×#123	C₂³	semidirect
301. C₅×#123	C₂³	semidirect
302. C₅×#123	C₂³	semidirect
303. C₅×#123	C₂³	semidirect
304. C₅×#123	C₂³	semidirect
313. C₂×C₅×C₄⋊C₄	C₂³	semidirect
314. C₂×C₅×C₄⋊C₄	C₂³	semidirect
327. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
328. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
329. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
332. #4099	C₂³	semidirect
333. #4099	C₂³	semidirect
350. C₂×C₂²⋊Dic₅	C₂³	semidirect
351. C₂×C₂²⋊Dic₅	C₂³	semidirect
356. #4085	C₂³	semidirect
358. #4084	C₂³	semidirect
361. #4082	C₂³	semidirect
363. #4081	C₂³	semidirect
365. D₄×Dic₅	C₂³	semidirect
367. #4076	C₂³	semidirect
368. #4076	C₂³	semidirect
369. #4076	C₂³	semidirect
370. #4075	C₂³	semidirect
371. #4075	C₂³	semidirect
372. #4075	C₂³	semidirect
373. #4075	C₂³	semidirect
378. C₄×C₂²⋊D₅	C₂³	semidirect
379. C₄×C₂²⋊D₅	C₂³	semidirect
380. C₄×C₂²⋊D₅	C₂³	semidirect
381. C₄×C₂²⋊D₅	C₂³	semidirect
382. C₄×C₂²⋊D₅	C₂³	semidirect
383. C₄×C₂²⋊D₅	C₂³	semidirect
384. C₄×C₂²⋊D₅	C₂³	semidirect
385. C₄×C₂²⋊D₅	C₂³	semidirect
386. C₄×C₂²⋊D₅	C₂³	semidirect
387. C₄×C₂²⋊D₅	C₂³	semidirect
388. C₄×C₂²⋊D₅	C₂³	semidirect
389. C₄×C₂²⋊D₅	C₂³	semidirect
410. C₂×#685	C₂³	semidirect
411. #4072	C₂³	semidirect
412. #4072	C₂³	semidirect
421. #4070	C₂³	semidirect
422. #4070	C₂³	semidirect
423. #4070	C₂³	semidirect
424. #4070	C₂³	semidirect
445. C₂×#683	C₂³	semidirect
458. C₂×C₄×Dic₅	C₂³	semidirect
459. #4044	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. #4042	C₂³	semidirect
467. #4042	C₂³	semidirect
468. #4041	C₂³	semidirect
469. #4040	C₂³	semidirect
470. #4040	C₂³	semidirect
471. #4040	C₂³	semidirect
472. #4040	C₂³	semidirect
473. #4039	C₂³	semidirect
474. #4039	C₂³	semidirect
475. #4039	C₂³	semidirect
476. #4038	C₂³	semidirect
477. #4038	C₂³	semidirect
478. #4038	C₂³	semidirect
479. D₅×C₄⋊C₄	C₂³	semidirect
480. D₅×C₄⋊C₄	C₂³	semidirect
481. D₅×C₄⋊C₄	C₂³	semidirect
482. #4036	C₂³	semidirect
483. #4035	C₂³	semidirect
484. #4035	C₂³	semidirect
485. #4035	C₂³	semidirect
486. #4035	C₂³	semidirect
487. #4034	C₂³	semidirect
488. #4033	C₂³	semidirect
489. #4033	C₂³	semidirect
490. #4033	C₂³	semidirect
491. #4032	C₂³	semidirect
492. #4032	C₂³	semidirect
493. #4031	C₂³	semidirect
494. #4031	C₂³	semidirect
495. #4031	C₂³	semidirect
496. #4031	C₂³	semidirect
497. #4031	C₂³	semidirect
498. #4031	C₂³	semidirect
499. #4030	C₂³	semidirect
500. #4030	C₂³	semidirect
501. #4030	C₂³	semidirect
502. #4030	C₂³	semidirect
503. #4030	C₂³	semidirect
504. #4030	C₂³	semidirect
505. #4029	C₂³	semidirect
506. #4029	C₂³	semidirect
507. #4029	C₂³	semidirect
508. #4029	C₂³	semidirect
509. #4029	C₂³	semidirect
510. #4029	C₂³	semidirect
511. #4028	C₂³	semidirect
512. #4028	C₂³	semidirect
513. #4027	C₂³	semidirect
514. #4027	C₂³	semidirect
515. #4027	C₂³	semidirect
516. #4027	C₂³	semidirect
517. #4027	C₂³	semidirect
518. #4027	C₂³	semidirect
519. #4027	C₂³	semidirect
520. #4027	C₂³	semidirect
521. D₅×C₂²⋊C₄	C₂³	semidirect
522. D₅×C₂²⋊C₄	C₂³	semidirect
523. D₅×C₂²⋊C₄	C₂³	semidirect
524. D₅×C₂²⋊C₄	C₂³	semidirect
525. #4025	C₂³	semidirect
526. #4025	C₂³	semidirect
527. #4025	C₂³	semidirect
528. #4025	C₂³	semidirect
529. #4025	C₂³	semidirect
530. #4025	C₂³	semidirect
531. #4024	C₂³	semidirect
532. #4024	C₂³	semidirect
533. #4024	C₂³	semidirect
534. #4024	C₂³	semidirect
535. #4023	C₂³	semidirect
536. #4023	C₂³	semidirect
537. #4023	C₂³	semidirect
538. #4023	C₂³	semidirect
567. C₂²×#123	D₅	semidirect
651. C₂×C₂²⋊D₅	#41	semidirect
841. C₂⁴×C₄	C₂×D₅	semidirect
913. C₂×#123	C₂×D₅	semidirect
914. C₂×#123	C₂×D₅	semidirect
915. C₂×#123	C₂×D₅	semidirect
916. C₂×#123	C₂×D₅	semidirect
917. C₂×#123	C₂×D₅	semidirect
918. C₂×#123	C₂×D₅	semidirect
919. C₂×#123	C₂×D₅	semidirect
1006. C₂²×C₄⋊C₄	C₂×D₅	semidirect
1007. C₂²×C₄⋊C₄	C₂×D₅	semidirect
1015. C₂²×C₂²⋊C₄	C₂×D₅	semidirect
1016. C₂²×C₂²⋊C₄	C₂×D₅	semidirect
1017. C₂²×C₂²⋊C₄	C₂×D₅	semidirect
1120. C₂²⋊D₅	C₂×#41	semidirect
1247. C₂³×C₄	C₂²×D₅	semidirect
1292. #123	C₂²×D₅	semidirect
1293. #123	C₂²×D₅	semidirect
1294. #123	C₂²×D₅	semidirect
1295. #123	C₂²×D₅	semidirect
1296. #123	C₂²×D₅	semidirect
1297. #123	C₂²×D₅	semidirect
1417. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1418. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1474. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1475. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1476. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1823. C₂×C₅	#3513	semidirect
1983. C₅	C₂×#3513	semidirect
2059. C₂	#10617914	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×C₅×#123	2
C₂×D₄×C₂²⋊D₅	2
C₂×#66140	2
C₂×#66125	2
C₂²×C₄×C₂²⋊D₅	2
#10617914	2
C₂×#65993	2
C₂×#65992	2
C₂×#65989	2
C₂×#65988	2
C₂×#65994	2
C₂×#65991	2
C₂×D₅×#123	2
C₂×#65998	2
C₂×#65995	2
C₂×#65984	2
C₂×#65996	2
C₂×#65997	2
C₂×#65983	2
C₂×#65990	2
C₂×#65848	2
C₂×#65849	2
C₂×#65838	2
C₂×#65845	2
C₂×#65824	2
C₂×#65828	2
C₂×#65820	2
C₂×#65829	2
C₂×#3513	5

Subgroups — C2×#10617914 #13007261

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10617914 #13007261