Subgroups — C₂×#10618469 #13006711

Order 1280.

7398 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618469	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66069	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66060	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66038	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×D₅×#126	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#66043	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66043	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66013	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66010	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#66012	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#66012	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#66012	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#66002	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#66000	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65989	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65994	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65987	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65964	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65972	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#65978	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#65963	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#65980	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65979	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#65954	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#65944	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#65916	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#65914	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#65884	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#65874	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65864	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#65861	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#713	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#713	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#711	C₂²	1	1	yes	characteristic, complemented
36	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
37	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
38	C₂³×D₂₀	C₂²	1	1	yes	characteristic
39	C₅×#542	C₂²	1	16	yes	complemented
40	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₅×#126	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₅×#126	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₅×#124	C₂²	1	1	yes	characteristic
44	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₅×#123	C₂²	1	1	yes	characteristic
47	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₅×#121	C₂²	1	1	yes	characteristic
52	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
55	C₂×#4093	C₂²	1	1	yes	characteristic
56	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
57	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
58	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
59	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
60	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
61	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
62	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
64	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
65	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
66	C₂×#4085	C₂²	1	1	yes	characteristic
67	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
68	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
69	C₂×#4084	C₂²	1	1	yes	characteristic
70	C₂×#4083	C₂²	1	1	yes	characteristic
71	C₂×#4083	C₂²	1	1	yes	characteristic
72	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
73	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
74	C₂×#4081	C₂²	1	1	yes	characteristic
75	C₂×#4076	C₂²	1	1	yes	characteristic
76	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
77	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
78	C₂×#4075	C₂²	1	1	yes	characteristic
79	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
82	C₂²×#685	C₂²	1	1	yes	characteristic, complemented
83	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
84	C₂²×#683	C₂²	1	1	yes	characteristic, complemented
85	#66069	C₂²	1	16	yes	complemented
86	#66060	C₂²	1	16	yes	complemented
87	#66043	C₂²	1	16	yes	complemented
88	#66043	C₂²	1	16	yes	complemented
89	#66038	C₂²	1	16	yes	complemented
90	D₅×#126	C₂²	1	16	yes	complemented
91	#66013	C₂²	1	16	yes	complemented
92	#66012	C₂²	1	16	yes	complemented
93	#66012	C₂²	1	16	yes	complemented
94	#66012	C₂²	1	16	yes	complemented
95	#66010	C₂²	1	16	yes	complemented
96	#66002	C₂²	1	16	yes	complemented
97	#66000	C₂²	1	16	yes	complemented
98	#65994	C₂²	1	16	yes	complemented
99	#65989	C₂²	1	16	yes	complemented
100	#65987	C₂²	1	16	yes	complemented
101	#65980	C₂²	1	16	yes	complemented
102	#65979	C₂²	1	16	yes	complemented
103	#65978	C₂²	1	16	yes	complemented
104	#65972	C₂²	1	16	yes	complemented
105	#65964	C₂²	1	16	yes	complemented
106	#65963	C₂²	1	16	yes	complemented
107	#65954	C₂²	1	16	yes	complemented
108	#65944	C₂²	1	16	yes	complemented
109	#65916	C₂²	1	16	yes	complemented
110	#65914	C₂²	1	16	yes	complemented
111	#65884	C₂²	1	16	yes	complemented
112	#65874	C₂²	1	16	yes	complemented
113	#65864	C₂²	1	16	yes	complemented
114	#65861	C₂²	1	16	yes	complemented
115	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
116	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
117	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
118	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
119	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
120	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
121	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
122	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
123	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
124	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
125	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
126	C₂×#4041	C₂²	1	1	yes	characteristic
127	C₂×#4041	C₂²	1	1	yes	characteristic
128	C₂×#4041	C₂²	1	1	yes	characteristic
129	C₂×#4041	C₂²	1	1	yes	characteristic
130	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
132	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
133	C₂×#4040	C₂²	1	1	yes	characteristic
134	C₂×#4040	C₂²	1	1	yes	characteristic
135	C₂×#4040	C₂²	1	1	yes	characteristic
136	C₂×#4040	C₂²	1	1	yes	characteristic
137	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
138	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
139	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
140	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
141	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
142	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
143	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
144	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
145	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
150	C₂×#4036	C₂²	1	1	yes	characteristic, complemented
151	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
152	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
153	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
154	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
155	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
156	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
157	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
158	C₂×#4031	C₂²	1	1	yes	characteristic
159	C₂×#4030	C₂²	1	1	yes	characteristic
160	C₂×#4030	C₂²	1	1	yes	characteristic
161	C₂×#4030	C₂²	1	1	yes	characteristic
162	C₂×#4030	C₂²	1	1	yes	characteristic
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×#4029	C₂²	1	1	yes	characteristic
172	C₂×#4029	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×#4028	C₂²	1	1	yes	characteristic
178	C₂×#4028	C₂²	1	1	yes	characteristic
179	C₂×#4028	C₂²	1	1	yes	characteristic
180	C₂×#4028	C₂²	1	1	yes	characteristic
181	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
182	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
183	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
184	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
185	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
186	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
187	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
188	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
189	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
190	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
191	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
192	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
193	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
194	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
195	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
196	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
197	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
198	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
199	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
200	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
201	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
202	C₂×#4024	C₂²	1	1	yes	characteristic, complemented
203	C₂×#4022	C₂²	1	1	yes	characteristic, complemented
204	C₂×#4022	C₂²	1	1	yes	characteristic, complemented
205	C₂×#4022	C₂²	1	1	yes	characteristic, complemented
206	C₂×#4022	C₂²	1	1	yes	characteristic, complemented
207	C₂×#4021	C₂²	1	1	yes	characteristic
208	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
209	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
210	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
211	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
215	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
216	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
217	C₂×#4018	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3560	—	5	1	no	maximal, Sylow
220	C₂⁴×D₅	C₂³	1	1	yes	characteristic
221	C₂⁴×D₅	C₂³	1	1	yes	characteristic
222	C₂⁴×D₅	C₂³	1	1	yes	characteristic
223	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
224	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₂²×C₅×Q₈	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	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
239	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
241	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
242	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
243	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
244	C₂³×Dic₅	C₂³	1	1	yes	characteristic
245	C₂³×Dic₅	C₂³	1	1	yes	characteristic
246	C₂³×Dic₅	C₂³	1	1	yes	characteristic
247	C₂×#713	—	4	4	no	—
248	C₂×#713	—	4	4	no	—
249	C₂×#713	C₂³	1	8	yes	complemented
250	C₂×#713	C₂³	1	8	yes	complemented
251	C₂×#711	—	4	4	no	—
252	C₂×#711	C₂³	1	8	yes	complemented
253	C₂×D₄×D₅	—	4	4	no	—
254	C₂×D₄×D₅	C₂³	1	8	yes	—
255	C₂×#709	—	4	4	no	—
256	C₂×#709	C₂³	1	8	yes	complemented
257	C₂²×D₂₀	—	4	4	no	—
258	C₂²×D₂₀	C₂³	1	1	yes	characteristic
259	C₂²×D₂₀	C₂³	1	1	yes	characteristic
260	C₂²×D₂₀	C₂³	1	1	yes	characteristic
261	C₂²×D₂₀	C₂³	1	1	yes	characteristic
262	C₂²×D₂₀	C₂³	1	1	yes	characteristic
263	C₂²×D₂₀	C₂³	1	1	yes	characteristic
264	C₂²×D₂₀	C₂³	1	1	yes	characteristic
265	C₂²×D₂₀	C₂³	1	1	yes	characteristic
266	C₂²×D₂₀	C₂³	1	1	yes	characteristic
267	C₂²×D₂₀	C₂³	1	1	yes	characteristic
268	C₂²×D₂₀	C₂³	1	1	yes	characteristic
269	C₂²×D₂₀	C₂³	1	1	yes	characteristic
270	C₂²×D₂₀	C₂³	1	8	yes	—
271	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
272	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
273	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
274	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
275	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
277	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
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×Dic₁₀	C₂³	1	1	yes	characteristic
288	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
289	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
290	C₅×#126	C₂³	1	8	yes	complemented
291	C₅×#126	C₂³	1	8	yes	complemented
292	C₅×#124	C₂³	1	8	yes	—
293	C₅×#124	C₂³	1	8	yes	complemented
294	C₅×#124	C₂³	1	8	yes	complemented
295	C₅×#123	C₂³	1	8	yes	—
296	C₅×#123	C₂³	1	8	yes	complemented
297	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
298	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
299	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
300	C₅×#121	C₂³	1	8	yes	—
301	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
302	C₄×C₅×D₄	C₂³	1	8	yes	complemented
303	C₅×#117	C₂³	1	8	yes	complemented
304	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
314	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²×C₅	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
336	#4093	C₂³	1	8	yes	—
337	#4093	C₂³	1	8	yes	complemented
338	#4093	C₂³	1	8	yes	complemented
339	#4092	C₂³	1	8	yes	complemented
340	#4092	C₂³	1	8	yes	complemented
341	#4092	C₂³	1	8	yes	complemented
342	#4092	C₂³	1	8	yes	complemented
343	#4092	C₂³	1	8	yes	complemented
344	#4092	C₂³	1	8	yes	complemented
345	#4090	C₂³	1	8	yes	complemented
346	#4086	C₂³	1	8	yes	complemented
347	#4085	C₂³	1	8	yes	—
348	#4085	C₂³	1	8	yes	complemented
349	#4085	C₂³	1	8	yes	complemented
350	#4084	C₂³	1	8	yes	—
351	#4083	C₂³	1	8	yes	—
352	#4083	C₂³	1	8	yes	—
353	#4083	C₂³	1	8	yes	complemented
354	#4083	C₂³	1	8	yes	complemented
355	#4081	C₂³	1	8	yes	—
356	#4076	C₂³	1	8	yes	—
357	#4076	C₂³	1	8	yes	complemented
358	#4076	C₂³	1	8	yes	complemented
359	#4075	C₂³	1	8	yes	—
360	#4075	C₂³	1	8	yes	complemented
361	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
362	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
363	C₂×#685	C₂³	1	1	yes	characteristic
364	C₂×#685	C₂³	1	1	yes	characteristic
365	C₂×#685	C₂³	1	1	yes	characteristic
366	C₂×#685	C₂³	1	1	yes	characteristic
367	C₂×#685	C₂³	1	1	yes	characteristic
368	C₂×#685	C₂³	1	1	yes	characteristic
369	C₂×#685	C₂³	1	1	yes	characteristic
370	C₂×#685	C₂³	1	1	yes	characteristic
371	C₂×#685	C₂³	1	1	yes	characteristic
372	C₂×#685	C₂³	1	1	yes	characteristic
373	C₂×#685	C₂³	1	1	yes	characteristic
374	C₂×#685	C₂³	1	1	yes	characteristic
375	C₂×#685	C₂³	1	1	yes	characteristic
376	C₂×#685	C₂³	1	1	yes	characteristic
377	C₂×#685	C₂³	1	1	yes	characteristic
378	C₂×#685	C₂³	1	1	yes	characteristic
379	C₂×#685	C₂³	1	1	yes	characteristic
380	C₂×#685	C₂³	1	1	yes	characteristic
381	C₂×#685	C₂³	1	1	yes	characteristic
382	C₂×#685	C₂³	1	1	yes	characteristic
383	C₂×#685	C₂³	1	1	yes	characteristic
384	C₂×#685	C₂³	1	1	yes	characteristic
385	C₂×#685	C₂³	1	1	yes	characteristic
386	C₂×#685	C₂³	1	1	yes	characteristic
387	C₂×#685	C₂³	1	1	yes	characteristic
388	C₂×#685	C₂³	1	1	yes	characteristic
389	C₂×#685	C₂³	1	1	yes	characteristic
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	8	yes	complemented
396	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
397	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
400	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
401	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
404	#4070	C₂³	1	8	yes	complemented
405	C₂×#683	C₂³	1	1	yes	characteristic
406	C₂×#683	C₂³	1	1	yes	characteristic
407	C₂×#683	C₂³	1	1	yes	characteristic
408	C₂×#683	C₂³	1	1	yes	characteristic
409	C₂×#683	C₂³	1	1	yes	characteristic
410	C₂×#683	C₂³	1	1	yes	characteristic
411	C₂×#683	C₂³	1	1	yes	characteristic
412	C₂×#683	C₂³	1	1	yes	characteristic
413	C₂×#683	C₂³	1	1	yes	characteristic
414	C₂×#683	C₂³	1	1	yes	characteristic
415	C₂×#683	C₂³	1	1	yes	characteristic
416	C₂×#683	C₂³	1	1	yes	characteristic
417	C₂×#683	C₂³	1	1	yes	characteristic
418	C₂×#683	C₂³	1	1	yes	characteristic
419	C₂×#683	C₂³	1	1	yes	characteristic
420	C₂×#683	C₂³	1	1	yes	characteristic
421	C₂×#683	C₂³	1	1	yes	characteristic
422	C₂×#683	C₂³	1	1	yes	characteristic
423	C₂×#683	C₂³	1	1	yes	characteristic
424	C₂×#683	C₂³	1	1	yes	characteristic
425	C₂×#683	C₂³	1	8	yes	complemented
426	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
427	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
428	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
429	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
430	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
431	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
432	#4044	C₂³	1	8	yes	complemented
433	#4044	C₂³	1	8	yes	complemented
434	#4044	C₂³	1	8	yes	complemented
435	#4044	C₂³	1	8	yes	complemented
436	#4044	C₂³	1	8	yes	complemented
437	#4044	C₂³	1	8	yes	complemented
438	#4044	C₂³	1	8	yes	complemented
439	#4042	C₂³	1	8	yes	complemented
440	#4042	C₂³	1	8	yes	complemented
441	#4042	C₂³	1	8	yes	complemented
442	#4042	C₂³	1	8	yes	complemented
443	#4041	C₂³	1	8	yes	—
444	#4041	C₂³	1	8	yes	—
445	#4041	C₂³	1	8	yes	—
446	#4041	C₂³	1	8	yes	—
447	#4041	C₂³	1	8	yes	complemented
448	#4041	C₂³	1	8	yes	complemented
449	#4041	C₂³	1	8	yes	complemented
450	#4040	C₂³	1	8	yes	—
451	#4040	C₂³	1	8	yes	—
452	#4040	C₂³	1	8	yes	—
453	#4040	C₂³	1	8	yes	—
454	#4040	C₂³	1	8	yes	complemented
455	#4040	C₂³	1	8	yes	complemented
456	#4040	C₂³	1	8	yes	complemented
457	#4040	C₂³	1	8	yes	complemented
458	#4040	C₂³	1	8	yes	complemented
459	#4040	C₂³	1	8	yes	complemented
460	#4039	C₂³	1	8	yes	complemented
461	#4039	C₂³	1	8	yes	complemented
462	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
463	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
464	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
465	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
466	#4036	C₂³	1	8	yes	complemented
467	#4036	C₂³	1	8	yes	complemented
468	#4035	C₂³	1	8	yes	complemented
469	#4035	C₂³	1	8	yes	complemented
470	#4035	C₂³	1	8	yes	complemented
471	#4034	C₂³	1	8	yes	complemented
472	#4032	C₂³	1	8	yes	complemented
473	#4032	C₂³	1	8	yes	complemented
474	#4032	C₂³	1	8	yes	complemented
475	#4031	C₂³	1	8	yes	—
476	#4030	C₂³	1	8	yes	—
477	#4030	C₂³	1	8	yes	—
478	#4030	C₂³	1	8	yes	—
479	#4030	C₂³	1	8	yes	—
480	#4030	C₂³	1	8	yes	complemented
481	#4030	C₂³	1	8	yes	complemented
482	#4030	C₂³	1	8	yes	complemented
483	#4030	C₂³	1	8	yes	complemented
484	#4030	C₂³	1	8	yes	complemented
485	#4030	C₂³	1	8	yes	complemented
486	#4030	C₂³	1	8	yes	complemented
487	#4030	C₂³	1	8	yes	complemented
488	#4029	C₂³	1	8	yes	—
489	#4029	C₂³	1	8	yes	complemented
490	#4029	C₂³	1	8	yes	complemented
491	#4029	C₂³	1	8	yes	complemented
492	#4029	C₂³	1	8	yes	complemented
493	#4029	C₂³	1	8	yes	complemented
494	#4028	C₂³	1	8	yes	—
495	#4028	C₂³	1	8	yes	—
496	#4028	C₂³	1	8	yes	—
497	#4028	C₂³	1	8	yes	—
498	#4028	C₂³	1	8	yes	complemented
499	#4028	C₂³	1	8	yes	complemented
500	#4027	C₂³	1	8	yes	complemented
501	#4027	C₂³	1	8	yes	complemented
502	#4027	C₂³	1	8	yes	complemented
503	#4027	C₂³	1	8	yes	complemented
504	#4027	C₂³	1	8	yes	complemented
505	#4027	C₂³	1	8	yes	complemented
506	#4027	C₂³	1	8	yes	complemented
507	#4027	C₂³	1	8	yes	complemented
508	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
509	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
510	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
511	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
512	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
513	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
514	#4025	C₂³	1	8	yes	complemented
515	#4025	C₂³	1	8	yes	complemented
516	#4025	C₂³	1	8	yes	complemented
517	#4025	C₂³	1	8	yes	complemented
518	#4025	C₂³	1	8	yes	complemented
519	#4024	C₂³	1	8	yes	complemented
520	#4022	C₂³	1	8	yes	complemented
521	#4022	C₂³	1	8	yes	complemented
522	#4022	C₂³	1	8	yes	complemented
523	#4022	C₂³	1	8	yes	complemented
524	#4021	C₂³	1	8	yes	—
525	#4021	C₂³	1	8	yes	complemented
526	C₄×D₂₀	C₂³	1	8	yes	complemented
527	C₄×D₂₀	C₂³	1	8	yes	complemented
528	C₄×D₂₀	C₂³	1	8	yes	complemented
529	C₄×D₂₀	C₂³	1	8	yes	complemented
530	C₄×D₂₀	C₂³	1	8	yes	complemented
531	C₄×D₂₀	C₂³	1	8	yes	complemented
532	#4018	C₂³	1	8	yes	complemented
533	#4018	C₂³	1	8	yes	complemented
534	#4018	C₂³	1	8	yes	complemented
535	C₄²×D₅	C₂³	1	8	yes	complemented
536	#3560	—	5	32	no	—
537	C₂×#563	—	5	1	no	—
538	C₂×#563	—	5	1	no	—
539	C₂×#560	—	5	1	no	—
540	C₂×#560	—	5	1	no	—
541	C₂×#553	—	5	1	no	—
542	C₂×#553	—	5	1	no	—
543	C₂×#553	—	5	1	no	—
544	C₂×#553	—	5	1	no	—
545	C₂×#551	—	5	1	no	—
546	C₂×#551	—	5	1	no	—
547	C₂×#547	—	5	1	no	—
548	C₂×#547	—	5	1	no	—
549	C₂×#546	—	5	1	no	—
550	C₂×#546	—	5	1	no	—
551	C₂×#546	—	5	1	no	—
552	C₂×#546	—	5	1	no	—
553	C₂×#542	—	5	1	no	—
554	C₂×#542	D₅	1	1	yes	characteristic, complemented
555	C₂×#539	—	5	1	no	—
556	C₂×#539	—	5	1	no	—
557	C₂×#539	—	5	1	no	—
558	C₂×#538	—	5	1	no	—
559	C₂×#538	—	5	1	no	—
560	C₂×#538	—	5	1	no	—
561	C₂×#538	—	5	1	no	—
562	C₂×#538	—	5	1	no	—
563	C₂×#537	—	5	1	no	—
564	C₂×#534	—	5	1	no	—
565	C₂×#532	—	5	1	no	—
566	C₂×#529	—	5	1	no	—
567	C₂²×#126	—	5	1	no	—
568	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
569	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
570	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
571	C₂³×D₅	—	2	4	no	—
572	C₂³×D₅	—	4	2	no	—
573	C₂³×D₅	—	4	2	no	—
574	C₂³×D₅	—	4	2	no	—
575	C₂³×D₅	—	4	2	no	—
576	C₂³×D₅	—	4	2	no	—
577	C₂³×D₅	—	4	2	no	—
578	C₂³×D₅	—	4	2	no	—
579	C₂³×D₅	—	4	2	no	—
580	C₂³×D₅	C₂⁴	1	1	yes	characteristic
581	C₂³×D₅	C₂⁴	1	1	yes	characteristic
582	C₂³×D₅	C₂⁴	1	1	yes	characteristic
583	C₂³×D₅	C₂⁴	1	1	yes	characteristic
584	C₂³×D₅	C₂⁴	1	1	yes	characteristic
585	C₂³×D₅	C₂⁴	1	1	yes	characteristic
586	C₂³×D₅	C₂⁴	1	4	yes	—
587	C₂³×D₅	C₂⁴	1	4	yes	—
588	C₂³×D₅	C₂⁴	1	4	yes	—
589	C₂×C₅×Q₈	—	4	2	no	—
590	C₂×C₅×Q₈	—	4	2	no	—
591	C₂×C₅×Q₈	—	4	2	no	—
592	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
593	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
594	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
595	C₂×C₅×D₄	—	4	2	no	—
596	C₂×C₅×D₄	—	4	2	no	—
597	C₂×C₅×D₄	—	4	2	no	—
598	C₂×C₅×D₄	C₂⁴	1	4	yes	—
599	C₂×C₅×D₄	C₂⁴	1	4	yes	—
600	C₂×C₅×D₄	C₂⁴	1	4	yes	—
601	C₂²×C₄×C₅	—	4	2	no	—
602	C₂²×C₄×C₅	—	4	2	no	—
603	C₂²×C₄×C₅	—	4	2	no	—
604	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
605	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
610	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
612	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
613	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
614	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
615	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
616	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
617	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
618	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
619	C₂×C₂²⋊D₅	—	2	4	no	—
620	C₂×C₂²⋊D₅	—	2	4	no	—
621	C₂×C₂²⋊D₅	—	4	2	no	—
622	C₂×C₂²⋊D₅	—	4	2	no	—
623	C₂×C₂²⋊D₅	—	4	2	no	—
624	C₂×C₂²⋊D₅	—	4	2	no	—
625	C₂×C₂²⋊D₅	—	4	2	no	—
626	C₂×C₂²⋊D₅	—	4	2	no	—
627	C₂×C₂²⋊D₅	—	4	2	no	—
628	C₂×C₂²⋊D₅	—	4	2	no	—
629	C₂×C₂²⋊D₅	—	4	2	no	—
630	C₂×C₂²⋊D₅	—	4	2	no	—
631	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
632	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
633	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
634	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
635	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
636	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
637	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
638	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
639	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
640	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
641	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
642	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
643	C₂²×Dic₅	—	4	2	no	—
644	C₂²×Dic₅	—	4	2	no	—
645	C₂²×Dic₅	—	4	2	no	—
646	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
647	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
648	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
649	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
650	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
651	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
652	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
653	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
654	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
655	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
656	C₂²×Dic₅	C₂⁴	1	4	yes	—
657	C₂²×Dic₅	C₂⁴	1	4	yes	—
658	C₂²×Dic₅	C₂⁴	1	4	yes	—
659	#713	—	4	16	no	—
660	#713	—	4	16	no	—
661	#711	—	4	16	no	—
662	D₄×D₅	—	4	16	no	—
663	#709	—	4	16	no	—
664	C₂×D₂₀	—	2	4	no	—
665	C₂×D₂₀	—	2	4	no	—
666	C₂×D₂₀	—	2	4	no	—
667	C₂×D₂₀	—	2	4	no	—
668	C₂×D₂₀	—	4	16	no	—
669	C₂×D₂₀	—	4	2	no	—
670	C₂×D₂₀	—	4	2	no	—
671	C₂×D₂₀	—	4	2	no	—
672	C₂×D₂₀	—	4	2	no	—
673	C₂×D₂₀	—	4	2	no	—
674	C₂×D₂₀	—	4	2	no	—
675	C₂×D₂₀	—	4	2	no	—
676	C₂×D₂₀	—	4	2	no	—
677	C₂×D₂₀	C₂⁴	1	4	yes	—
678	C₂×D₂₀	C₂⁴	1	4	yes	—
679	C₂×D₂₀	C₂⁴	1	4	yes	—
680	C₂×D₂₀	C₂⁴	1	4	yes	—
681	C₂×D₂₀	C₂⁴	1	4	yes	—
682	C₂×D₂₀	C₂⁴	1	4	yes	—
683	C₂×D₂₀	C₂⁴	1	4	yes	—
684	C₂×D₂₀	C₂⁴	1	4	yes	—
685	C₂×D₂₀	C₂⁴	1	4	yes	—
686	C₂×D₂₀	C₂⁴	1	4	yes	—
687	C₂×D₂₀	C₂⁴	1	4	yes	—
688	C₂×D₂₀	C₂⁴	1	4	yes	—
689	C₂×C₄×D₅	—	2	4	no	—
690	C₂×C₄×D₅	—	2	4	no	—
691	C₂×C₄×D₅	—	4	2	no	—
692	C₂×C₄×D₅	—	4	2	no	—
693	C₂×C₄×D₅	—	4	2	no	—
694	C₂×C₄×D₅	—	4	2	no	—
695	C₂×C₄×D₅	—	4	2	no	—
696	C₂×C₄×D₅	—	4	2	no	—
697	C₂×C₄×D₅	—	4	2	no	—
698	C₂×C₄×D₅	—	4	2	no	—
699	C₂×C₄×D₅	—	4	2	no	—
700	C₂×C₄×D₅	—	4	2	no	—
701	C₂×C₄×D₅	—	4	2	no	—
702	C₂×C₄×D₅	—	4	2	no	—
703	C₂×C₄×D₅	—	4	2	no	—
704	C₂×C₄×D₅	—	4	2	no	—
705	C₂×C₄×D₅	C₂⁴	1	4	yes	—
706	C₂×C₄×D₅	C₂⁴	1	4	yes	—
707	C₂×C₄×D₅	C₂⁴	1	4	yes	—
708	C₂×C₄×D₅	C₂⁴	1	4	yes	—
709	C₂×C₄×D₅	C₂⁴	1	4	yes	—
710	C₂×C₄×D₅	C₂⁴	1	4	yes	—
711	C₂×C₄×D₅	C₂⁴	1	4	yes	—
712	C₂×C₄×D₅	C₂⁴	1	4	yes	—
713	C₂×C₄×D₅	C₂⁴	1	4	yes	—
714	C₂×C₄×D₅	C₂⁴	1	4	yes	—
715	C₂×C₄×D₅	C₂⁴	1	4	yes	—
716	C₂×C₄×D₅	C₂⁴	1	4	yes	—
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×Dic₁₀	—	4	2	no	—
722	C₂×Dic₁₀	—	4	2	no	—
723	C₂×Dic₁₀	C₂⁴	1	4	yes	—
724	C₂×Dic₁₀	C₂⁴	1	4	yes	—
725	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
726	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
727	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
728	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
729	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
730	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
731	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
732	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
733	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
734	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
735	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
736	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
737	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
738	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
739	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
740	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
741	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
742	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
743	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
744	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
745	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
746	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
747	C₄²×C₅	C₂⁴	1	4	yes	—
748	C₄²×C₅	C₂⁴	1	4	yes	—
749	C₄²×C₅	C₂⁴	1	4	yes	—
750	C₄²×C₅	C₂⁴	1	4	yes	—
751	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
752	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
753	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
754	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
755	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
756	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
757	#685	C₂⁴	1	4	yes	—
758	#685	C₂⁴	1	4	yes	—
759	#685	C₂⁴	1	4	yes	—
760	#685	C₂⁴	1	4	yes	—
761	#685	C₂⁴	1	4	yes	—
762	#685	C₂⁴	1	4	yes	—
763	#685	C₂⁴	1	4	yes	—
764	#685	C₂⁴	1	4	yes	—
765	#685	C₂⁴	1	4	yes	—
766	#685	C₂⁴	1	4	yes	—
767	#685	C₂⁴	1	4	yes	—
768	#685	C₂⁴	1	4	yes	—
769	#685	C₂⁴	1	4	yes	—
770	#685	C₂⁴	1	4	yes	—
771	#685	C₂⁴	1	4	yes	—
772	#685	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	C₄⋊Dic₅	C₂⁴	1	4	yes	—
790	C₄⋊Dic₅	C₂⁴	1	4	yes	—
791	C₄⋊Dic₅	C₂⁴	1	4	yes	—
792	C₄⋊Dic₅	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	#683	C₂⁴	1	4	yes	—
798	#683	C₂⁴	1	4	yes	—
799	#683	C₂⁴	1	4	yes	—
800	#683	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	C₄×Dic₅	C₂⁴	1	4	yes	—
818	C₄×Dic₅	C₂⁴	1	4	yes	—
819	C₄×Dic₅	C₂⁴	1	4	yes	—
820	C₄×Dic₅	C₂⁴	1	4	yes	—
821	C₄×Dic₅	C₂⁴	1	4	yes	—
822	C₄×Dic₅	C₂⁴	1	4	yes	—
823	C₂²×#41	—	5	1	no	—
824	C₂²×#41	—	5	1	no	—
825	C₂²×#41	—	5	1	no	—
826	C₂²×#41	—	5	1	no	—
827	C₂³×D₄	—	5	1	no	—
828	C₂³×D₄	—	5	1	no	—
829	#563	—	5	16	no	—
830	#563	—	5	16	no	—
831	#560	—	5	16	no	—
832	#560	—	5	16	no	—
833	#553	—	5	16	no	—
834	#553	—	5	16	no	—
835	#553	—	5	16	no	—
836	#553	—	5	16	no	—
837	#551	—	5	16	no	—
838	#551	—	5	16	no	—
839	#547	—	5	16	no	—
840	#547	—	5	16	no	—
841	#546	—	5	16	no	—
842	#546	—	5	16	no	—
843	#546	—	5	16	no	—
844	#546	—	5	16	no	—
845	#542	—	5	16	no	—
846	#542	C₂×D₅	1	16	yes	complemented
847	#539	—	5	16	no	—
848	#539	—	5	16	no	—
849	#539	—	5	16	no	—
850	#538	—	5	16	no	—
851	#538	—	5	16	no	—
852	#538	—	5	16	no	—
853	#538	—	5	16	no	—
854	#538	—	5	16	no	—
855	#537	—	5	16	no	—
856	#534	—	5	16	no	—
857	#532	—	5	16	no	—
858	C₂×C₄⋊Q₈	—	5	1	no	—
859	C₂×C₄⋊Q₈	—	5	1	no	—
860	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
861	C₂×#127	—	5	1	no	—
862	#529	—	5	16	no	—
863	C₂×#126	—	5	16	no	—
864	C₂×#126	—	5	1	no	—
865	C₂×#126	—	5	1	no	—
866	C₂×#126	—	5	1	no	—
867	C₂×#126	—	5	1	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×#126	—	5	1	no	—
879	C₂×#126	—	5	1	no	—
880	C₂×#126	C₂×D₅	1	1	yes	characteristic, complemented
881	C₂×#126	C₂×D₅	1	1	yes	characteristic, complemented
882	C₂×#125	—	5	1	no	—
883	C₂×#125	—	5	1	no	—
884	C₂×#125	—	5	1	no	—
885	C₂×#125	—	5	1	no	—
886	C₂×#125	—	5	1	no	—
887	C₂×#124	—	5	1	no	—
888	C₂×#124	—	5	1	no	—
889	C₂×#124	—	5	1	no	—
890	C₂×#124	—	5	1	no	—
891	C₂×#124	—	5	1	no	—
892	C₂×#124	—	5	1	no	—
893	C₂×#124	C₂×D₅	1	1	yes	characteristic
894	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
895	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
896	C₂×#123	—	5	1	no	—
897	C₂×#123	—	5	1	no	—
898	C₂×#123	—	5	1	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	—	5	1	no	—
912	C₂×#123	—	5	1	no	—
913	C₂×#123	—	5	1	no	—
914	C₂×#123	—	5	1	no	—
915	C₂×#123	—	5	1	no	—
916	C₂×#123	—	5	1	no	—
917	C₂×#123	—	5	1	no	—
918	C₂×#123	C₂×D₅	1	1	yes	characteristic
919	C₂×#123	C₂×D₅	1	1	yes	characteristic, 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	C₂×D₅	1	1	yes	characteristic, complemented
933	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
934	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
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×#121	—	5	1	no	—
951	C₂×#121	—	5	1	no	—
952	C₂×#121	—	5	1	no	—
953	C₂×#121	—	5	1	no	—
954	C₂×#121	—	5	1	no	—
955	C₂×#121	—	5	1	no	—
956	C₂×#121	—	5	1	no	—
957	C₂×#121	—	5	1	no	—
958	C₂×#121	—	5	1	no	—
959	C₂×#121	—	5	1	no	—
960	C₂×#121	—	5	1	no	—
961	C₂×#121	C₂×D₅	1	1	yes	characteristic
962	C₂×#120	—	5	1	no	—
963	C₂×#120	—	5	1	no	—
964	C₂×#120	—	5	1	no	—
965	C₂×#120	—	5	1	no	—
966	C₂×#120	—	5	1	no	—
967	C₂×#120	—	5	1	no	—
968	C₂×#120	—	5	1	no	—
969	C₂×#120	—	5	1	no	—
970	C₂×#120	—	5	1	no	—
971	C₂×#120	—	5	1	no	—
972	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
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	1	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	C₂×D₅	1	1	yes	characteristic, complemented
992	C₂×#117	—	5	1	no	—
993	C₂×#117	—	5	1	no	—
994	C₂×#117	—	5	1	no	—
995	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
996	C₂²×C₄⋊C₄	—	5	1	no	—
997	C₂²×C₄⋊C₄	—	5	1	no	—
998	C₂²×C₄⋊C₄	—	5	1	no	—
999	C₂²×C₄⋊C₄	—	5	1	no	—
1000	C₂²×C₄⋊C₄	—	5	1	no	—
1001	C₂²×C₂²⋊C₄	—	5	1	no	—
1002	C₂²×C₂²⋊C₄	—	5	1	no	—
1003	C₂²×C₂²⋊C₄	—	5	1	no	—
1004	C₂²×C₂²⋊C₄	—	5	1	no	—
1005	C₂²×C₂²⋊C₄	—	5	1	no	—
1006	C₂²×C₂²⋊C₄	—	5	1	no	—
1007	C₂²×C₂²⋊C₄	—	5	1	no	—
1008	C₂²×C₄²	—	5	1	no	—
1009	C₂³×C₅	—	2	2	no	—
1010	C₂³×C₅	—	2	2	no	—
1011	C₂³×C₅	—	2	2	no	—
1012	C₂³×C₅	—	2	2	no	—
1013	C₂³×C₅	—	2	2	no	—
1014	C₂³×C₅	—	2	2	no	—
1015	C₂³×C₅	—	2	2	no	—
1016	C₂³×C₅	—	2	2	no	—
1017	C₂³×C₅	—	2	2	no	—
1018	C₂³×C₅	C₂⁵	1	2	yes	—
1019	C₂³×C₅	C₂⁵	1	2	yes	—
1020	C₂³×C₅	C₂⁵	1	2	yes	—
1021	C₂³×C₅	C₂⁵	1	1	yes	characteristic
1022	C₂²×D₅	—	2	2	no	—
1023	C₂²×D₅	—	2	2	no	—
1024	C₂²×D₅	—	2	2	no	—
1025	C₂²×D₅	—	2	2	no	—
1026	C₂²×D₅	—	2	2	no	—
1027	C₂²×D₅	—	2	2	no	—
1028	C₂²×D₅	—	2	2	no	—
1029	C₂²×D₅	—	2	2	no	—
1030	C₂²×D₅	—	2	2	no	—
1031	C₂²×D₅	—	2	2	no	—
1032	C₂²×D₅	—	2	2	no	—
1033	C₂²×D₅	—	2	2	no	—
1034	C₂²×D₅	—	2	2	no	—
1035	C₂²×D₅	—	2	2	no	—
1036	C₂²×D₅	—	2	2	no	—
1037	C₂²×D₅	—	2	2	no	—
1038	C₂²×D₅	—	2	2	no	—
1039	C₂²×D₅	—	2	8	no	—
1040	C₂²×D₅	—	4	4	no	—
1041	C₂²×D₅	—	4	4	no	—
1042	C₂²×D₅	—	4	4	no	—
1043	C₂²×D₅	—	4	4	no	—
1044	C₂²×D₅	—	4	4	no	—
1045	C₂²×D₅	—	4	4	no	—
1046	C₂²×D₅	—	4	4	no	—
1047	C₂²×D₅	—	4	4	no	—
1048	C₂²×D₅	—	8	8	no	—
1049	C₂²×D₅	—	8	8	no	—
1050	C₂²×D₅	—	8	8	no	—
1051	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
1052	C₂²×D₅	C₂⁵	1	2	yes	—
1053	C₂²×D₅	C₂⁵	1	2	yes	—
1054	C₂²×D₅	C₂⁵	1	2	yes	—
1055	C₂²×D₅	C₂⁵	1	2	yes	—
1056	C₂²×D₅	C₂⁵	1	2	yes	—
1057	C₂²×D₅	C₂⁵	1	2	yes	—
1058	C₅×Q₈	—	4	4	no	—
1059	C₅×Q₈	—	4	4	no	—
1060	C₅×Q₈	—	4	4	no	—
1061	C₅×D₄	—	4	4	no	—
1062	C₅×D₄	—	4	4	no	—
1063	C₅×D₄	—	4	4	no	—
1064	C₂×C₄×C₅	—	2	2	no	—
1065	C₂×C₄×C₅	—	2	2	no	—
1066	C₂×C₄×C₅	—	2	2	no	—
1067	C₂×C₄×C₅	—	2	2	no	—
1068	C₂×C₄×C₅	—	2	2	no	—
1069	C₂×C₄×C₅	—	2	2	no	—
1070	C₂×C₄×C₅	—	2	2	no	—
1071	C₂×C₄×C₅	—	2	2	no	—
1072	C₂×C₄×C₅	—	2	2	no	—
1073	C₂×C₄×C₅	—	2	2	no	—
1074	C₂×C₄×C₅	—	2	2	no	—
1075	C₂×C₄×C₅	—	2	2	no	—
1076	C₂×C₄×C₅	—	4	4	no	—
1077	C₂×C₄×C₅	—	4	4	no	—
1078	C₂×C₄×C₅	—	4	4	no	—
1079	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1080	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1081	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1082	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1083	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1084	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1085	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1086	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1087	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1088	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1089	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1090	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1091	C₂²⋊D₅	—	2	8	no	—
1092	C₂²⋊D₅	—	2	8	no	—
1093	C₂²⋊D₅	—	4	4	no	—
1094	C₂²⋊D₅	—	4	4	no	—
1095	C₂²⋊D₅	—	4	4	no	—
1096	C₂²⋊D₅	—	4	4	no	—
1097	C₂²⋊D₅	—	4	4	no	—
1098	C₂²⋊D₅	—	4	4	no	—
1099	C₂²⋊D₅	—	4	4	no	—
1100	C₂²⋊D₅	—	4	4	no	—
1101	C₂²⋊D₅	—	4	4	no	—
1102	C₂²⋊D₅	—	4	4	no	—
1103	C₂×Dic₅	—	2	2	no	—
1104	C₂×Dic₅	—	2	2	no	—
1105	C₂×Dic₅	—	2	2	no	—
1106	C₂×Dic₅	—	2	2	no	—
1107	C₂×Dic₅	—	2	2	no	—
1108	C₂×Dic₅	—	2	2	no	—
1109	C₂×Dic₅	—	2	2	no	—
1110	C₂×Dic₅	—	2	2	no	—
1111	C₂×Dic₅	—	2	2	no	—
1112	C₂×Dic₅	—	2	2	no	—
1113	C₂×Dic₅	—	4	4	no	—
1114	C₂×Dic₅	—	4	4	no	—
1115	C₂×Dic₅	—	4	4	no	—
1116	C₂×Dic₅	C₂⁵	1	2	yes	—
1117	C₂×Dic₅	C₂⁵	1	2	yes	—
1118	C₂×Dic₅	C₂⁵	1	2	yes	—
1119	C₂×Dic₅	C₂⁵	1	2	yes	—
1120	C₂×Dic₅	C₂⁵	1	2	yes	—
1121	C₂×Dic₅	C₂⁵	1	2	yes	—
1122	C₂×Dic₅	C₂⁵	1	2	yes	—
1123	C₂×Dic₅	C₂⁵	1	2	yes	—
1124	C₂×Dic₅	C₂⁵	1	2	yes	—
1125	C₂×Dic₅	C₂⁵	1	2	yes	—
1126	D₂₀	—	2	8	no	—
1127	D₂₀	—	2	8	no	—
1128	D₂₀	—	2	8	no	—
1129	D₂₀	—	2	8	no	—
1130	D₂₀	—	4	4	no	—
1131	D₂₀	—	4	4	no	—
1132	D₂₀	—	4	4	no	—
1133	D₂₀	—	4	4	no	—
1134	D₂₀	—	4	4	no	—
1135	D₂₀	—	4	4	no	—
1136	D₂₀	—	4	4	no	—
1137	D₂₀	—	4	4	no	—
1138	C₄×D₅	—	2	8	no	—
1139	C₄×D₅	—	2	8	no	—
1140	C₄×D₅	—	4	4	no	—
1141	C₄×D₅	—	4	4	no	—
1142	C₄×D₅	—	4	4	no	—
1143	C₄×D₅	—	4	4	no	—
1144	C₄×D₅	—	4	4	no	—
1145	C₄×D₅	—	4	4	no	—
1146	C₄×D₅	—	4	4	no	—
1147	C₄×D₅	—	4	4	no	—
1148	C₄×D₅	—	4	4	no	—
1149	C₄×D₅	—	4	4	no	—
1150	C₄×D₅	—	4	4	no	—
1151	C₄×D₅	—	4	4	no	—
1152	C₄×D₅	—	4	4	no	—
1153	C₄×D₅	—	4	4	no	—
1154	Dic₁₀	—	4	4	no	—
1155	Dic₁₀	—	4	4	no	—
1156	C₂⁵	—	5	1	no	—
1157	C₂⁵	—	5	1	no	—
1158	C₂⁵	—	5	1	no	—
1159	C₂×#41	—	5	8	no	—
1160	C₂×#41	—	5	8	no	—
1161	C₂×#41	—	5	8	no	—
1162	C₂×#41	—	5	8	no	—
1163	C₂×#41	—	20	4	no	—
1164	C₂×#41	—	20	4	no	—
1165	C₂×#41	—	20	4	no	—
1166	C₂×#41	—	20	4	no	—
1167	C₂²×Q₈	—	5	1	no	—
1168	C₂²×Q₈	—	5	1	no	—
1169	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1170	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1171	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1172	C₂²×D₄	—	5	1	no	—
1173	C₂²×D₄	—	5	1	no	—
1174	C₂²×D₄	—	5	1	no	—
1175	C₂²×D₄	—	5	1	no	—
1176	C₂²×D₄	—	5	1	no	—
1177	C₂²×D₄	—	5	1	no	—
1178	C₂²×D₄	—	5	1	no	—
1179	C₂²×D₄	—	5	1	no	—
1180	C₂²×D₄	—	5	1	no	—
1181	C₂²×D₄	—	5	1	no	—
1182	C₂²×D₄	—	5	1	no	—
1183	C₂²×D₄	—	5	1	no	—
1184	C₂²×D₄	—	5	8	no	—
1185	C₂²×D₄	—	5	1	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	1	no	—
1195	C₂²×D₄	—	5	1	no	—
1196	C₂²×D₄	—	5	1	no	—
1197	C₂²×D₄	—	5	8	no	—
1198	C₂²×D₄	—	20	4	no	—
1199	C₂²×D₄	—	20	4	no	—
1200	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1201	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1202	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1203	C₂³×C₄	—	5	1	no	—
1204	C₂³×C₄	—	5	1	no	—
1205	C₂³×C₄	—	5	1	no	—
1206	C₂³×C₄	—	5	1	no	—
1207	C₂³×C₄	—	5	1	no	—
1208	C₂³×C₄	—	5	1	no	—
1209	C₂³×C₄	—	5	1	no	—
1210	C₂³×C₄	—	5	1	no	—
1211	C₂³×C₄	—	5	1	no	—
1212	C₂³×C₄	—	5	1	no	—
1213	C₂³×C₄	—	5	1	no	—
1214	C₂³×C₄	—	5	1	no	—
1215	C₂³×C₄	—	5	1	no	—
1216	C₂³×C₄	—	5	1	no	—
1217	C₂³×C₄	—	5	1	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	C₂²×D₅	1	1	yes	characteristic
1223	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1224	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1225	C₄⋊Q₈	—	5	8	no	—
1226	C₄⋊Q₈	—	5	8	no	—
1227	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
1228	#127	—	5	8	no	—
1229	#126	—	5	8	no	—
1230	#126	—	5	8	no	—
1231	#126	—	5	8	no	—
1232	#126	—	5	8	no	—
1233	#126	—	5	8	no	—
1234	#126	—	5	8	no	—
1235	#126	—	5	8	no	—
1236	#126	—	5	8	no	—
1237	#126	—	5	8	no	—
1238	#126	—	5	8	no	—
1239	#126	—	5	8	no	—
1240	#126	—	5	8	no	—
1241	#126	—	5	8	no	—
1242	#126	—	5	8	no	—
1243	#126	—	5	8	no	—
1244	#126	—	5	8	no	—
1245	#126	C₂²×D₅	1	8	yes	complemented
1246	#126	C₂²×D₅	1	8	yes	complemented
1247	#125	—	5	8	no	—
1248	#125	—	5	8	no	—
1249	#125	—	5	8	no	—
1250	#125	—	5	8	no	—
1251	#125	—	5	8	no	—
1252	#124	—	5	8	no	—
1253	#124	—	5	8	no	—
1254	#124	—	5	8	no	—
1255	#124	—	5	8	no	—
1256	#124	—	5	8	no	—
1257	#124	—	5	8	no	—
1258	#124	C₂²×D₅	1	8	yes	—
1259	#124	C₂²×D₅	1	8	yes	complemented
1260	#124	C₂²×D₅	1	8	yes	complemented
1261	#123	—	5	8	no	—
1262	#123	—	5	8	no	—
1263	#123	—	5	8	no	—
1264	#123	—	5	8	no	—
1265	#123	—	5	8	no	—
1266	#123	—	5	8	no	—
1267	#123	—	5	8	no	—
1268	#123	—	5	8	no	—
1269	#123	—	5	8	no	—
1270	#123	—	5	8	no	—
1271	#123	—	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	C₂²×D₅	1	8	yes	—
1284	#123	C₂²×D₅	1	8	yes	complemented
1285	C₂²⋊Q₈	—	5	8	no	—
1286	C₂²⋊Q₈	—	5	8	no	—
1287	C₂²⋊Q₈	—	5	8	no	—
1288	C₂²⋊Q₈	—	5	8	no	—
1289	C₂²⋊Q₈	—	5	8	no	—
1290	C₂²⋊Q₈	—	5	8	no	—
1291	C₂²⋊Q₈	—	5	8	no	—
1292	C₂²⋊Q₈	—	5	8	no	—
1293	C₂²⋊Q₈	—	5	8	no	—
1294	C₂²⋊Q₈	—	5	8	no	—
1295	C₂²⋊Q₈	—	5	8	no	—
1296	C₂²⋊Q₈	—	5	8	no	—
1297	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1298	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1299	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1300	#121	—	5	8	no	—
1301	#121	—	5	8	no	—
1302	#121	—	5	8	no	—
1303	#121	—	5	8	no	—
1304	#121	—	5	8	no	—
1305	#121	—	5	8	no	—
1306	#121	—	5	8	no	—
1307	#121	—	5	8	no	—
1308	#121	—	5	8	no	—
1309	#121	—	5	8	no	—
1310	#121	—	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	C₂²×D₅	1	8	yes	—
1327	#120	—	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	#120	—	5	8	no	—
1337	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
1338	C₄×D₄	—	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	C₂²×D₅	1	8	yes	complemented
1357	#117	—	5	8	no	—
1358	#117	—	5	8	no	—
1359	#117	—	5	8	no	—
1360	#117	C₂²×D₅	1	8	yes	complemented
1361	C₂×C₄⋊C₄	—	5	1	no	—
1362	C₂×C₄⋊C₄	—	5	1	no	—
1363	C₂×C₄⋊C₄	—	5	1	no	—
1364	C₂×C₄⋊C₄	—	5	1	no	—
1365	C₂×C₄⋊C₄	—	5	1	no	—
1366	C₂×C₄⋊C₄	—	5	1	no	—
1367	C₂×C₄⋊C₄	—	5	1	no	—
1368	C₂×C₄⋊C₄	—	5	1	no	—
1369	C₂×C₄⋊C₄	—	5	1	no	—
1370	C₂×C₄⋊C₄	—	5	1	no	—
1371	C₂×C₄⋊C₄	—	5	1	no	—
1372	C₂×C₄⋊C₄	—	5	1	no	—
1373	C₂×C₄⋊C₄	—	5	1	no	—
1374	C₂×C₄⋊C₄	—	5	1	no	—
1375	C₂×C₄⋊C₄	—	5	8	no	—
1376	C₂×C₄⋊C₄	—	5	1	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	1	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	8	no	—
1391	C₂×C₄⋊C₄	—	5	8	no	—
1392	C₂×C₄⋊C₄	—	5	8	no	—
1393	C₂×C₄⋊C₄	—	5	8	no	—
1394	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1395	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1396	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1397	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1398	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1399	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1400	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1401	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1402	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1403	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1404	C₂×C₂²⋊C₄	—	5	1	no	—
1405	C₂×C₂²⋊C₄	—	5	1	no	—
1406	C₂×C₂²⋊C₄	—	5	1	no	—
1407	C₂×C₂²⋊C₄	—	5	1	no	—
1408	C₂×C₂²⋊C₄	—	5	1	no	—
1409	C₂×C₂²⋊C₄	—	5	1	no	—
1410	C₂×C₂²⋊C₄	—	5	1	no	—
1411	C₂×C₂²⋊C₄	—	5	1	no	—
1412	C₂×C₂²⋊C₄	—	5	1	no	—
1413	C₂×C₂²⋊C₄	—	5	1	no	—
1414	C₂×C₂²⋊C₄	—	5	1	no	—
1415	C₂×C₂²⋊C₄	—	5	1	no	—
1416	C₂×C₂²⋊C₄	—	5	1	no	—
1417	C₂×C₂²⋊C₄	—	5	1	no	—
1418	C₂×C₂²⋊C₄	—	5	1	no	—
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	8	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	1	no	—
1429	C₂×C₂²⋊C₄	—	5	1	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	8	no	—
1444	C₂×C₂²⋊C₄	—	5	8	no	—
1445	C₂×C₂²⋊C₄	—	5	8	no	—
1446	C₂×C₂²⋊C₄	—	5	8	no	—
1447	C₂×C₂²⋊C₄	—	5	8	no	—
1448	C₂×C₂²⋊C₄	—	5	8	no	—
1449	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1450	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1451	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1452	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1453	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1454	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1455	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1456	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1457	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1458	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1459	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1460	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1461	C₂×C₄²	—	5	1	no	—
1462	C₂×C₄²	—	5	1	no	—
1463	C₂×C₄²	—	5	1	no	—
1464	C₂×C₄²	—	5	1	no	—
1465	C₂×C₄²	—	5	1	no	—
1466	C₂×C₄²	—	5	1	no	—
1467	C₂×C₄²	—	5	8	no	—
1468	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1469	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1470	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1471	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1472	C₂²×C₅	—	2	2	no	—
1473	C₂²×C₅	—	2	2	no	—
1474	C₂²×C₅	—	2	2	no	—
1475	C₂²×C₅	—	2	2	no	—
1476	C₂²×C₅	—	2	2	no	—
1477	C₂²×C₅	—	2	2	no	—
1478	C₂²×C₅	—	2	2	no	—
1479	C₂²×C₅	—	2	2	no	—
1480	C₂²×C₅	—	2	2	no	—
1481	C₂²×C₅	—	4	4	no	—
1482	C₂²×C₅	—	4	4	no	—
1483	C₂²×C₅	—	4	4	no	—
1484	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1485	C₂²×C₅	#585	1	2	yes	—
1486	C₂²×C₅	#585	1	2	yes	—
1487	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1488	C₂×D₅	—	2	2	no	—
1489	C₂×D₅	—	2	2	no	—
1490	C₂×D₅	—	2	8	no	—
1491	C₂×D₅	—	2	2	no	—
1492	C₂×D₅	—	2	2	no	—
1493	C₂×D₅	—	2	2	no	—
1494	C₂×D₅	—	2	2	no	—
1495	C₂×D₅	—	2	2	no	—
1496	C₂×D₅	—	2	2	no	—
1497	C₂×D₅	—	2	2	no	—
1498	C₂×D₅	—	2	2	no	—
1499	C₂×D₅	—	2	2	no	—
1500	C₂×D₅	—	2	2	no	—
1501	C₂×D₅	—	2	2	no	—
1502	C₂×D₅	—	2	2	no	—
1503	C₂×D₅	—	2	2	no	—
1504	C₂×D₅	—	2	2	no	—
1505	C₂×D₅	—	2	2	no	—
1506	C₂×D₅	—	4	4	no	—
1507	C₂×D₅	—	4	4	no	—
1508	C₂×D₅	—	4	4	no	—
1509	C₂×D₅	—	4	4	no	—
1510	C₂×D₅	—	4	4	no	—
1511	C₂×D₅	—	8	8	no	—
1512	C₂×D₅	—	8	8	no	—
1513	C₂×D₅	—	8	8	no	—
1514	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1515	C₄×C₅	—	2	2	no	—
1516	C₄×C₅	—	2	2	no	—
1517	C₄×C₅	—	2	2	no	—
1518	C₄×C₅	—	2	2	no	—
1519	C₄×C₅	—	2	2	no	—
1520	C₄×C₅	—	2	2	no	—
1521	C₄×C₅	—	2	2	no	—
1522	C₄×C₅	—	2	2	no	—
1523	C₄×C₅	—	2	2	no	—
1524	C₄×C₅	—	2	2	no	—
1525	C₄×C₅	—	2	2	no	—
1526	C₄×C₅	—	2	2	no	—
1527	Dic₅	—	2	2	no	—
1528	Dic₅	—	2	2	no	—
1529	Dic₅	—	2	2	no	—
1530	Dic₅	—	2	2	no	—
1531	Dic₅	—	2	2	no	—
1532	Dic₅	—	2	2	no	—
1533	Dic₅	—	2	2	no	—
1534	Dic₅	—	2	2	no	—
1535	Dic₅	—	2	2	no	—
1536	Dic₅	—	2	2	no	—
1537	C₂⁴	—	5	1	no	—
1538	C₂⁴	—	5	1	no	—
1539	C₂⁴	—	5	1	no	—
1540	C₂⁴	—	5	1	no	—
1541	C₂⁴	—	5	1	no	—
1542	C₂⁴	—	5	1	no	—
1543	C₂⁴	—	5	4	no	—
1544	C₂⁴	—	5	4	no	—
1545	C₂⁴	—	5	4	no	—
1546	C₂⁴	—	10	4	no	—
1547	C₂⁴	—	20	2	no	—
1548	C₂⁴	—	20	2	no	—
1549	C₂⁴	—	20	2	no	—
1550	C₂⁴	—	20	2	no	—
1551	C₂⁴	—	20	2	no	—
1552	C₂⁴	—	20	2	no	—
1553	C₂⁴	—	20	2	no	—
1554	C₂⁴	—	20	2	no	—
1555	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1556	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1557	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1558	#41	—	20	16	no	—
1559	#41	—	20	16	no	—
1560	#41	—	20	16	no	—
1561	#41	—	20	16	no	—
1562	C₂×Q₈	—	4	2	no	—
1563	C₂×Q₈	—	4	2	no	—
1564	C₂×Q₈	—	4	2	no	—
1565	C₂×Q₈	—	5	4	no	—
1566	C₂×Q₈	—	5	4	no	—
1567	C₂×Q₈	—	20	2	no	—
1568	C₂×Q₈	—	20	2	no	—
1569	C₂×Q₈	C₂³×D₅	1	4	yes	—
1570	C₂×Q₈	C₂³×D₅	1	4	yes	—
1571	C₂×Q₈	C₂³×D₅	1	4	yes	—
1572	C₂×D₄	—	4	2	no	—
1573	C₂×D₄	—	4	2	no	—
1574	C₂×D₄	—	4	2	no	—
1575	C₂×D₄	—	5	4	no	—
1576	C₂×D₄	—	5	4	no	—
1577	C₂×D₄	—	5	4	no	—
1578	C₂×D₄	—	5	4	no	—
1579	C₂×D₄	—	5	4	no	—
1580	C₂×D₄	—	5	4	no	—
1581	C₂×D₄	—	5	4	no	—
1582	C₂×D₄	—	5	4	no	—
1583	C₂×D₄	—	5	4	no	—
1584	C₂×D₄	—	5	4	no	—
1585	C₂×D₄	—	5	4	no	—
1586	C₂×D₄	—	5	4	no	—
1587	C₂×D₄	—	5	4	no	—
1588	C₂×D₄	—	5	4	no	—
1589	C₂×D₄	—	5	4	no	—
1590	C₂×D₄	—	5	4	no	—
1591	C₂×D₄	—	5	4	no	—
1592	C₂×D₄	—	5	4	no	—
1593	C₂×D₄	—	5	4	no	—
1594	C₂×D₄	—	5	4	no	—
1595	C₂×D₄	—	5	4	no	—
1596	C₂×D₄	—	5	4	no	—
1597	C₂×D₄	—	5	4	no	—
1598	C₂×D₄	—	5	4	no	—
1599	C₂×D₄	—	10	4	no	—
1600	C₂×D₄	—	10	4	no	—
1601	C₂×D₄	—	10	4	no	—
1602	C₂×D₄	—	10	4	no	—
1603	C₂×D₄	—	10	4	no	—
1604	C₂×D₄	—	10	4	no	—
1605	C₂×D₄	—	20	2	no	—
1606	C₂×D₄	—	20	2	no	—
1607	C₂×D₄	—	20	2	no	—
1608	C₂×D₄	—	20	2	no	—
1609	C₂×D₄	—	20	2	no	—
1610	C₂×D₄	—	20	2	no	—
1611	C₂×D₄	—	20	2	no	—
1612	C₂×D₄	—	20	2	no	—
1613	C₂×D₄	—	20	16	no	—
1614	C₂×D₄	—	20	2	no	—
1615	C₂×D₄	—	20	2	no	—
1616	C₂×D₄	—	20	2	no	—
1617	C₂×D₄	—	20	2	no	—
1618	C₂×D₄	—	20	2	no	—
1619	C₂×D₄	—	20	2	no	—
1620	C₂×D₄	—	20	2	no	—
1621	C₂×D₄	—	20	2	no	—
1622	C₂×D₄	—	20	2	no	—
1623	C₂×D₄	—	20	2	no	—
1624	C₂×D₄	—	20	16	no	—
1625	C₂×D₄	C₂³×D₅	1	4	yes	—
1626	C₂×D₄	C₂³×D₅	1	4	yes	—
1627	C₂×D₄	C₂³×D₅	1	4	yes	—
1628	C₂²×C₄	—	4	2	no	—
1629	C₂²×C₄	—	4	2	no	—
1630	C₂²×C₄	—	4	2	no	—
1631	C₂²×C₄	—	5	1	no	—
1632	C₂²×C₄	—	5	1	no	—
1633	C₂²×C₄	—	5	1	no	—
1634	C₂²×C₄	—	5	1	no	—
1635	C₂²×C₄	—	5	1	no	—
1636	C₂²×C₄	—	5	1	no	—
1637	C₂²×C₄	—	5	1	no	—
1638	C₂²×C₄	—	5	1	no	—
1639	C₂²×C₄	—	5	1	no	—
1640	C₂²×C₄	—	5	1	no	—
1641	C₂²×C₄	—	5	4	no	—
1642	C₂²×C₄	—	5	4	no	—
1643	C₂²×C₄	—	5	4	no	—
1644	C₂²×C₄	—	5	4	no	—
1645	C₂²×C₄	—	5	4	no	—
1646	C₂²×C₄	—	5	4	no	—
1647	C₂²×C₄	—	5	4	no	—
1648	C₂²×C₄	—	5	4	no	—
1649	C₂²×C₄	—	5	4	no	—
1650	C₂²×C₄	—	5	4	no	—
1651	C₂²×C₄	—	5	4	no	—
1652	C₂²×C₄	—	5	4	no	—
1653	C₂²×C₄	—	5	4	no	—
1654	C₂²×C₄	—	5	4	no	—
1655	C₂²×C₄	—	5	4	no	—
1656	C₂²×C₄	—	5	4	no	—
1657	C₂²×C₄	—	5	4	no	—
1658	C₂²×C₄	—	5	4	no	—
1659	C₂²×C₄	—	5	4	no	—
1660	C₂²×C₄	—	10	4	no	—
1661	C₂²×C₄	—	10	4	no	—
1662	C₂²×C₄	—	20	2	no	—
1663	C₂²×C₄	—	20	2	no	—
1664	C₂²×C₄	—	20	2	no	—
1665	C₂²×C₄	—	20	2	no	—
1666	C₂²×C₄	—	20	2	no	—
1667	C₂²×C₄	—	20	2	no	—
1668	C₂²×C₄	—	20	2	no	—
1669	C₂²×C₄	—	20	2	no	—
1670	C₂²×C₄	—	20	2	no	—
1671	C₂²×C₄	—	20	2	no	—
1672	C₂²×C₄	—	20	2	no	—
1673	C₂²×C₄	—	20	2	no	—
1674	C₂²×C₄	—	20	2	no	—
1675	C₂²×C₄	—	20	2	no	—
1676	C₂²×C₄	—	20	2	no	—
1677	C₂²×C₄	—	20	2	no	—
1678	C₂²×C₄	—	20	2	no	—
1679	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1680	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1681	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1682	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1683	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1684	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1685	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1686	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1687	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1688	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1689	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1690	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1691	C₂²×C₄	C₂³×D₅	1	4	yes	—
1692	C₂²×C₄	C₂³×D₅	1	4	yes	—
1693	C₂²×C₄	C₂³×D₅	1	4	yes	—
1694	C₄⋊C₄	—	5	4	no	—
1695	C₄⋊C₄	—	5	4	no	—
1696	C₄⋊C₄	—	5	4	no	—
1697	C₄⋊C₄	—	5	4	no	—
1698	C₄⋊C₄	—	5	4	no	—
1699	C₄⋊C₄	—	5	4	no	—
1700	C₄⋊C₄	—	5	4	no	—
1701	C₄⋊C₄	—	5	4	no	—
1702	C₄⋊C₄	—	5	4	no	—
1703	C₄⋊C₄	—	5	4	no	—
1704	C₄⋊C₄	—	5	4	no	—
1705	C₄⋊C₄	—	5	4	no	—
1706	C₄⋊C₄	—	5	4	no	—
1707	C₄⋊C₄	—	5	4	no	—
1708	C₄⋊C₄	—	5	4	no	—
1709	C₄⋊C₄	—	5	4	no	—
1710	C₄⋊C₄	—	5	4	no	—
1711	C₄⋊C₄	—	5	4	no	—
1712	C₄⋊C₄	—	5	4	no	—
1713	C₄⋊C₄	—	5	4	no	—
1714	C₄⋊C₄	—	5	4	no	—
1715	C₄⋊C₄	—	5	4	no	—
1716	C₄⋊C₄	—	5	4	no	—
1717	C₄⋊C₄	—	5	4	no	—
1718	C₄⋊C₄	—	5	4	no	—
1719	C₄⋊C₄	—	5	4	no	—
1720	C₄⋊C₄	—	5	4	no	—
1721	C₄⋊C₄	—	5	4	no	—
1722	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1723	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1724	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1725	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1726	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1727	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1728	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1729	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1730	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1731	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1732	C₂²⋊C₄	—	5	4	no	—
1733	C₂²⋊C₄	—	5	4	no	—
1734	C₂²⋊C₄	—	5	4	no	—
1735	C₂²⋊C₄	—	5	4	no	—
1736	C₂²⋊C₄	—	5	4	no	—
1737	C₂²⋊C₄	—	5	4	no	—
1738	C₂²⋊C₄	—	5	4	no	—
1739	C₂²⋊C₄	—	5	4	no	—
1740	C₂²⋊C₄	—	5	4	no	—
1741	C₂²⋊C₄	—	5	4	no	—
1742	C₂²⋊C₄	—	5	4	no	—
1743	C₂²⋊C₄	—	5	4	no	—
1744	C₂²⋊C₄	—	5	4	no	—
1745	C₂²⋊C₄	—	5	4	no	—
1746	C₂²⋊C₄	—	5	4	no	—
1747	C₂²⋊C₄	—	5	4	no	—
1748	C₂²⋊C₄	—	5	4	no	—
1749	C₂²⋊C₄	—	5	4	no	—
1750	C₂²⋊C₄	—	5	4	no	—
1751	C₂²⋊C₄	—	5	4	no	—
1752	C₂²⋊C₄	—	5	4	no	—
1753	C₂²⋊C₄	—	5	4	no	—
1754	C₂²⋊C₄	—	5	4	no	—
1755	C₂²⋊C₄	—	5	4	no	—
1756	C₂²⋊C₄	—	5	4	no	—
1757	C₂²⋊C₄	—	5	4	no	—
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	C₂³×D₅	1	4	yes	—
1771	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1772	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1773	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1774	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1775	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1776	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1777	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1778	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1779	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1780	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1781	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1782	C₄²	—	5	4	no	—
1783	C₄²	—	5	4	no	—
1784	C₄²	—	5	4	no	—
1785	C₄²	—	5	4	no	—
1786	C₄²	—	5	4	no	—
1787	C₄²	—	5	4	no	—
1788	C₄²	C₂³×D₅	1	4	yes	—
1789	C₄²	C₂³×D₅	1	4	yes	—
1790	C₄²	C₂³×D₅	1	4	yes	—
1791	C₄²	C₂³×D₅	1	4	yes	—
1792	C₂×C₅	—	4	2	no	—
1793	C₂×C₅	—	4	2	no	—
1794	C₂×C₅	—	4	2	no	—
1795	C₂×C₅	#3560	1	4	yes	complemented
1796	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1797	C₂×C₅	C₂×#585	1	1	yes	characteristic
1798	C₂×C₅	C₂×#585	1	1	yes	characteristic
1799	D₅	—	2	4	no	—
1800	D₅	—	4	2	no	—
1801	D₅	—	4	2	no	—
1802	D₅	—	4	2	no	—
1803	D₅	—	4	2	no	—
1804	D₅	—	4	2	no	—
1805	C₂³	—	2	2	no	—
1806	C₂³	—	2	2	no	—
1807	C₂³	—	2	2	no	—
1808	C₂³	—	2	2	no	—
1809	C₂³	—	2	2	no	—
1810	C₂³	—	2	2	no	—
1811	C₂³	—	2	2	no	—
1812	C₂³	—	2	2	no	—
1813	C₂³	—	2	2	no	—
1814	C₂³	—	5	4	no	—
1815	C₂³	—	5	2	no	—
1816	C₂³	—	5	2	no	—
1817	C₂³	—	5	2	no	—
1818	C₂³	—	5	2	no	—
1819	C₂³	—	5	2	no	—
1820	C₂³	—	5	2	no	—
1821	C₂³	—	10	8	no	—
1822	C₂³	—	10	2	no	—
1823	C₂³	—	10	2	no	—
1824	C₂³	—	10	2	no	—
1825	C₂³	—	10	2	no	—
1826	C₂³	—	10	2	no	—
1827	C₂³	—	10	2	no	—
1828	C₂³	—	10	2	no	—
1829	C₂³	—	10	2	no	—
1830	C₂³	—	10	2	no	—
1831	C₂³	—	10	2	no	—
1832	C₂³	—	10	2	no	—
1833	C₂³	—	10	2	no	—
1834	C₂³	—	10	2	no	—
1835	C₂³	—	10	2	no	—
1836	C₂³	—	10	2	no	—
1837	C₂³	—	10	2	no	—
1838	C₂³	—	10	2	no	—
1839	C₂³	—	20	4	no	—
1840	C₂³	—	20	4	no	—
1841	C₂³	—	20	4	no	—
1842	C₂³	—	20	4	no	—
1843	C₂³	—	20	4	no	—
1844	C₂³	—	20	4	no	—
1845	C₂³	—	20	4	no	—
1846	C₂³	—	20	4	no	—
1847	C₂³	—	40	8	no	—
1848	C₂³	—	40	8	no	—
1849	C₂³	—	40	8	no	—
1850	C₂³	C₂⁴×D₅	1	2	yes	—
1851	C₂³	C₂⁴×D₅	1	2	yes	—
1852	C₂³	C₂⁴×D₅	1	2	yes	—
1853	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1854	Q₈	—	4	4	no	—
1855	Q₈	—	4	4	no	—
1856	Q₈	—	4	4	no	—
1857	Q₈	—	20	4	no	—
1858	Q₈	—	20	4	no	—
1859	D₄	—	4	4	no	—
1860	D₄	—	4	4	no	—
1861	D₄	—	4	4	no	—
1862	D₄	—	10	8	no	—
1863	D₄	—	10	8	no	—
1864	D₄	—	10	8	no	—
1865	D₄	—	10	8	no	—
1866	D₄	—	10	8	no	—
1867	D₄	—	10	8	no	—
1868	D₄	—	20	4	no	—
1869	D₄	—	20	4	no	—
1870	D₄	—	20	4	no	—
1871	D₄	—	20	4	no	—
1872	D₄	—	20	4	no	—
1873	D₄	—	20	4	no	—
1874	D₄	—	20	4	no	—
1875	D₄	—	20	4	no	—
1876	D₄	—	20	4	no	—
1877	D₄	—	20	4	no	—
1878	D₄	—	20	4	no	—
1879	D₄	—	20	4	no	—
1880	D₄	—	20	4	no	—
1881	D₄	—	20	4	no	—
1882	D₄	—	20	4	no	—
1883	D₄	—	20	4	no	—
1884	D₄	—	20	4	no	—
1885	D₄	—	20	4	no	—
1886	C₂×C₄	—	2	2	no	—
1887	C₂×C₄	—	2	2	no	—
1888	C₂×C₄	—	2	2	no	—
1889	C₂×C₄	—	2	2	no	—
1890	C₂×C₄	—	2	2	no	—
1891	C₂×C₄	—	2	2	no	—
1892	C₂×C₄	—	2	2	no	—
1893	C₂×C₄	—	2	2	no	—
1894	C₂×C₄	—	2	2	no	—
1895	C₂×C₄	—	2	2	no	—
1896	C₂×C₄	—	2	2	no	—
1897	C₂×C₄	—	2	2	no	—
1898	C₂×C₄	—	4	4	no	—
1899	C₂×C₄	—	4	4	no	—
1900	C₂×C₄	—	4	4	no	—
1901	C₂×C₄	—	5	2	no	—
1902	C₂×C₄	—	5	2	no	—
1903	C₂×C₄	—	5	2	no	—
1904	C₂×C₄	—	5	2	no	—
1905	C₂×C₄	—	5	2	no	—
1906	C₂×C₄	—	5	2	no	—
1907	C₂×C₄	—	5	2	no	—
1908	C₂×C₄	—	5	2	no	—
1909	C₂×C₄	—	5	2	no	—
1910	C₂×C₄	—	5	2	no	—
1911	C₂×C₄	—	10	8	no	—
1912	C₂×C₄	—	10	8	no	—
1913	C₂×C₄	—	10	2	no	—
1914	C₂×C₄	—	10	2	no	—
1915	C₂×C₄	—	10	2	no	—
1916	C₂×C₄	—	10	2	no	—
1917	C₂×C₄	—	10	2	no	—
1918	C₂×C₄	—	10	2	no	—
1919	C₂×C₄	—	10	2	no	—
1920	C₂×C₄	—	10	2	no	—
1921	C₂×C₄	—	10	2	no	—
1922	C₂×C₄	—	10	2	no	—
1923	C₂×C₄	—	20	4	no	—
1924	C₂×C₄	—	20	4	no	—
1925	C₂×C₄	—	20	4	no	—
1926	C₂×C₄	—	20	4	no	—
1927	C₂×C₄	—	20	4	no	—
1928	C₂×C₄	—	20	4	no	—
1929	C₂×C₄	—	20	4	no	—
1930	C₂×C₄	—	20	4	no	—
1931	C₂×C₄	—	20	4	no	—
1932	C₂×C₄	—	20	4	no	—
1933	C₂×C₄	—	20	4	no	—
1934	C₂×C₄	—	20	4	no	—
1935	C₂×C₄	—	20	4	no	—
1936	C₂×C₄	—	20	4	no	—
1937	C₂×C₄	—	20	4	no	—
1938	C₂×C₄	—	20	4	no	—
1939	C₂×C₄	—	20	4	no	—
1940	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1941	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1942	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1943	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1944	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1945	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1946	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1947	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1948	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1949	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1950	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1951	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1952	C₅	C₂×#3560	1	1	yes	characteristic, complemented, Sylow
1953	C₂²	—	2	2	no	—
1954	C₂²	—	2	2	no	—
1955	C₂²	—	2	2	no	—
1956	C₂²	—	2	2	no	—
1957	C₂²	—	2	2	no	—
1958	C₂²	—	2	2	no	—
1959	C₂²	—	2	2	no	—
1960	C₂²	—	2	2	no	—
1961	C₂²	—	2	2	no	—
1962	C₂²	—	4	4	no	—
1963	C₂²	—	4	4	no	—
1964	C₂²	—	4	4	no	—
1965	C₂²	—	5	4	no	—
1966	C₂²	—	10	2	no	—
1967	C₂²	—	10	2	no	—
1968	C₂²	—	10	8	no	—
1969	C₂²	—	10	2	no	—
1970	C₂²	—	10	2	no	—
1971	C₂²	—	10	2	no	—
1972	C₂²	—	10	2	no	—
1973	C₂²	—	10	2	no	—
1974	C₂²	—	10	2	no	—
1975	C₂²	—	10	2	no	—
1976	C₂²	—	10	2	no	—
1977	C₂²	—	10	2	no	—
1978	C₂²	—	10	2	no	—
1979	C₂²	—	10	2	no	—
1980	C₂²	—	10	2	no	—
1981	C₂²	—	10	2	no	—
1982	C₂²	—	10	2	no	—
1983	C₂²	—	10	2	no	—
1984	C₂²	—	20	4	no	—
1985	C₂²	—	20	4	no	—
1986	C₂²	—	20	4	no	—
1987	C₂²	—	20	4	no	—
1988	C₂²	—	20	4	no	—
1989	C₂²	—	40	8	no	—
1990	C₂²	—	40	8	no	—
1991	C₂²	—	40	8	no	—
1992	C₂²	#66283	1	2	yes	—
1993	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1994	C₂²	#66287	1	2	yes	—
1995	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1996	C₄	—	2	2	no	—
1997	C₄	—	2	2	no	—
1998	C₄	—	2	2	no	—
1999	C₄	—	2	2	no	—
2000	C₄	—	2	2	no	—
2001	C₄	—	2	2	no	—
2002	C₄	—	2	2	no	—
2003	C₄	—	2	2	no	—
2004	C₄	—	2	2	no	—
2005	C₄	—	2	2	no	—
2006	C₄	—	2	2	no	—
2007	C₄	—	2	2	no	—
2008	C₄	—	10	2	no	—
2009	C₄	—	10	2	no	—
2010	C₄	—	10	2	no	—
2011	C₄	—	10	2	no	—
2012	C₄	—	10	2	no	—
2013	C₄	—	10	2	no	—
2014	C₄	—	10	2	no	—
2015	C₄	—	10	2	no	—
2016	C₄	—	10	2	no	—
2017	C₄	—	10	2	no	—
2018	C₂	—	4	2	no	—
2019	C₂	—	4	2	no	—
2020	C₂	—	4	2	no	—
2021	C₂	—	10	4	no	—
2022	C₂	—	20	2	no	—
2023	C₂	—	20	2	no	—
2024	C₂	—	20	2	no	—
2025	C₂	—	20	2	no	—
2026	C₂	—	20	2	no	—
2027	C₂	#10618469	1	4	yes	direct product factor
2028	C₂	C₂×#66283	1	1	yes	characteristic
2029	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
2030	C₂	C₂×#66287	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#542	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#542	D₅
hypocenter	C₅	C₂×#3560
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#542	C₂	semidirect
2. #10618469	C₂	direct (N × H)
3. C₂×#66069	C₂	semidirect
4. C₂×#66060	C₂	semidirect
5. C₂×#66038	C₂	semidirect
6. C₂×D₅×#126	C₂	semidirect
7. C₂×#66043	C₂	semidirect
8. C₂×#66043	C₂	semidirect
9. C₂×#66013	C₂	semidirect
10. C₂×#66010	C₂	semidirect
11. C₂×#66012	C₂	semidirect
12. C₂×#66012	C₂	semidirect
13. C₂×#66012	C₂	semidirect
14. C₂×#66002	C₂	semidirect
15. C₂×#66000	C₂	semidirect
16. C₂×#65989	C₂	semidirect
17. C₂×#65994	C₂	semidirect
18. C₂×#65987	C₂	semidirect
19. C₂×#65964	C₂	semidirect
20. C₂×#65972	C₂	semidirect
21. C₂×#65978	C₂	semidirect
22. C₂×#65963	C₂	semidirect
23. C₂×#65980	C₂	semidirect
24. C₂×#65979	C₂	semidirect
25. C₂×#65954	C₂	semidirect
26. C₂×#65944	C₂	semidirect
27. C₂×#65916	C₂	semidirect
28. C₂×#65914	C₂	semidirect
29. C₂×#65884	C₂	semidirect
30. C₂×#65874	C₂	semidirect
31. C₂×#65864	C₂	semidirect
32. C₂×#65861	C₂	semidirect
33. C₂²×#713	C₂²	semidirect
34. C₂²×#713	C₂²	semidirect
35. C₂²×#711	C₂²	semidirect
37. C₂²×#709	C₂²	semidirect
39. C₅×#542	C₂²	semidirect
40. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
41. C₂×C₅×#126	C₂²	semidirect
42. C₂×C₅×#126	C₂²	semidirect
44. C₂×C₅×#124	C₂²	semidirect
45. C₂×C₅×#124	C₂²	semidirect
47. C₂×C₅×#123	C₂²	semidirect
48. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
49. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₄×C₅×Q₈	C₂²	semidirect
53. C₂×C₄×C₅×D₄	C₂²	semidirect
54. C₂×C₅×#117	C₂²	semidirect
56. C₂×#4093	C₂²	semidirect
57. C₂×#4093	C₂²	semidirect
58. C₂×#4092	C₂²	semidirect
59. C₂×#4092	C₂²	semidirect
60. C₂×#4092	C₂²	semidirect
61. C₂×#4092	C₂²	semidirect
62. C₂×#4092	C₂²	semidirect
63. C₂×#4092	C₂²	semidirect
64. C₂×#4090	C₂²	semidirect
65. C₂×#4086	C₂²	semidirect
67. C₂×#4085	C₂²	semidirect
68. C₂×#4085	C₂²	semidirect
72. C₂×#4083	C₂²	semidirect
73. C₂×#4083	C₂²	semidirect
76. C₂×#4076	C₂²	semidirect
77. C₂×#4076	C₂²	semidirect
79. C₂×#4075	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
81. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
82. C₂²×#685	C₂²	semidirect
83. C₂×#4070	C₂²	semidirect
84. C₂²×#683	C₂²	semidirect
85. #66069	C₂²	semidirect
86. #66060	C₂²	semidirect
87. #66043	C₂²	semidirect
88. #66043	C₂²	semidirect
89. #66038	C₂²	semidirect
90. D₅×#126	C₂²	semidirect
91. #66013	C₂²	semidirect
92. #66012	C₂²	semidirect
93. #66012	C₂²	semidirect
94. #66012	C₂²	semidirect
95. #66010	C₂²	semidirect
96. #66002	C₂²	semidirect
97. #66000	C₂²	semidirect
98. #65994	C₂²	semidirect
99. #65989	C₂²	semidirect
100. #65987	C₂²	semidirect
101. #65980	C₂²	semidirect
102. #65979	C₂²	semidirect
103. #65978	C₂²	semidirect
104. #65972	C₂²	semidirect
105. #65964	C₂²	semidirect
106. #65963	C₂²	semidirect
107. #65954	C₂²	semidirect
108. #65944	C₂²	semidirect
109. #65916	C₂²	semidirect
110. #65914	C₂²	semidirect
111. #65884	C₂²	semidirect
112. #65874	C₂²	semidirect
113. #65864	C₂²	semidirect
114. #65861	C₂²	semidirect
115. C₂×#4044	C₂²	semidirect
116. C₂×#4044	C₂²	semidirect
117. C₂×#4044	C₂²	semidirect
118. C₂×#4044	C₂²	semidirect
119. C₂×#4044	C₂²	semidirect
120. C₂×#4044	C₂²	semidirect
121. C₂×#4044	C₂²	semidirect
122. C₂×#4042	C₂²	semidirect
123. C₂×#4042	C₂²	semidirect
124. C₂×#4042	C₂²	semidirect
125. C₂×#4042	C₂²	semidirect
130. C₂×#4041	C₂²	semidirect
131. C₂×#4041	C₂²	semidirect
132. C₂×#4041	C₂²	semidirect
137. C₂×#4040	C₂²	semidirect
138. C₂×#4040	C₂²	semidirect
139. C₂×#4040	C₂²	semidirect
140. C₂×#4040	C₂²	semidirect
141. C₂×#4040	C₂²	semidirect
142. C₂×#4040	C₂²	semidirect
143. C₂×#4039	C₂²	semidirect
144. C₂×#4039	C₂²	semidirect
145. C₂×D₅×C₄⋊C₄	C₂²	semidirect
146. C₂×D₅×C₄⋊C₄	C₂²	semidirect
147. C₂×D₅×C₄⋊C₄	C₂²	semidirect
148. C₂×D₅×C₄⋊C₄	C₂²	semidirect
149. C₂×#4036	C₂²	semidirect
150. C₂×#4036	C₂²	semidirect
151. C₂×#4035	C₂²	semidirect
152. C₂×#4035	C₂²	semidirect
153. C₂×#4035	C₂²	semidirect
154. C₂×#4034	C₂²	semidirect
155. C₂×#4032	C₂²	semidirect
156. C₂×#4032	C₂²	semidirect
157. C₂×#4032	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
172. C₂×#4029	C₂²	semidirect
173. C₂×#4029	C₂²	semidirect
174. C₂×#4029	C₂²	semidirect
175. C₂×#4029	C₂²	semidirect
176. C₂×#4029	C₂²	semidirect
181. C₂×#4028	C₂²	semidirect
182. C₂×#4028	C₂²	semidirect
183. C₂×#4027	C₂²	semidirect
184. C₂×#4027	C₂²	semidirect
185. C₂×#4027	C₂²	semidirect
186. C₂×#4027	C₂²	semidirect
187. C₂×#4027	C₂²	semidirect
188. C₂×#4027	C₂²	semidirect
189. C₂×#4027	C₂²	semidirect
190. C₂×#4027	C₂²	semidirect
194. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
195. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
196. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
197. C₂×#4025	C₂²	semidirect
198. C₂×#4025	C₂²	semidirect
199. C₂×#4025	C₂²	semidirect
200. C₂×#4025	C₂²	semidirect
201. C₂×#4025	C₂²	semidirect
202. C₂×#4024	C₂²	semidirect
203. C₂×#4022	C₂²	semidirect
204. C₂×#4022	C₂²	semidirect
205. C₂×#4022	C₂²	semidirect
206. C₂×#4022	C₂²	semidirect
208. C₂×#4021	C₂²	semidirect
209. C₂×C₄×D₂₀	C₂²	semidirect
210. C₂×C₄×D₂₀	C₂²	semidirect
211. C₂×C₄×D₂₀	C₂²	semidirect
212. C₂×C₄×D₂₀	C₂²	semidirect
213. C₂×C₄×D₂₀	C₂²	semidirect
214. C₂×C₄×D₂₀	C₂²	semidirect
215. C₂×#4018	C₂²	semidirect
216. C₂×#4018	C₂²	semidirect
217. C₂×#4018	C₂²	semidirect
218. C₂×C₄²×D₅	C₂²	semidirect
249. C₂×#713	C₂³	semidirect
250. C₂×#713	C₂³	semidirect
252. C₂×#711	C₂³	semidirect
256. C₂×#709	C₂³	semidirect
289. C₅×C₄⋊Q₈	C₂³	semidirect
290. C₅×#126	C₂³	semidirect
291. C₅×#126	C₂³	semidirect
293. C₅×#124	C₂³	semidirect
294. C₅×#124	C₂³	semidirect
296. C₅×#123	C₂³	semidirect
297. C₅×C₂²⋊Q₈	C₂³	semidirect
298. C₅×C₂²⋊Q₈	C₂³	semidirect
299. C₅×C₂²⋊Q₈	C₂³	semidirect
301. C₄×C₅×Q₈	C₂³	semidirect
302. C₄×C₅×D₄	C₂³	semidirect
303. C₅×#117	C₂³	semidirect
337. #4093	C₂³	semidirect
338. #4093	C₂³	semidirect
339. #4092	C₂³	semidirect
340. #4092	C₂³	semidirect
341. #4092	C₂³	semidirect
342. #4092	C₂³	semidirect
343. #4092	C₂³	semidirect
344. #4092	C₂³	semidirect
345. #4090	C₂³	semidirect
346. #4086	C₂³	semidirect
348. #4085	C₂³	semidirect
349. #4085	C₂³	semidirect
353. #4083	C₂³	semidirect
354. #4083	C₂³	semidirect
357. #4076	C₂³	semidirect
358. #4076	C₂³	semidirect
360. #4075	C₂³	semidirect
361. C₄×C₂²⋊D₅	C₂³	semidirect
362. C₄×C₂²⋊D₅	C₂³	semidirect
395. C₂×#685	C₂³	semidirect
404. #4070	C₂³	semidirect
425. C₂×#683	C₂³	semidirect
432. #4044	C₂³	semidirect
433. #4044	C₂³	semidirect
434. #4044	C₂³	semidirect
435. #4044	C₂³	semidirect
436. #4044	C₂³	semidirect
437. #4044	C₂³	semidirect
438. #4044	C₂³	semidirect
439. #4042	C₂³	semidirect
440. #4042	C₂³	semidirect
441. #4042	C₂³	semidirect
442. #4042	C₂³	semidirect
447. #4041	C₂³	semidirect
448. #4041	C₂³	semidirect
449. #4041	C₂³	semidirect
454. #4040	C₂³	semidirect
455. #4040	C₂³	semidirect
456. #4040	C₂³	semidirect
457. #4040	C₂³	semidirect
458. #4040	C₂³	semidirect
459. #4040	C₂³	semidirect
460. #4039	C₂³	semidirect
461. #4039	C₂³	semidirect
462. D₅×C₄⋊C₄	C₂³	semidirect
463. D₅×C₄⋊C₄	C₂³	semidirect
464. D₅×C₄⋊C₄	C₂³	semidirect
465. D₅×C₄⋊C₄	C₂³	semidirect
466. #4036	C₂³	semidirect
467. #4036	C₂³	semidirect
468. #4035	C₂³	semidirect
469. #4035	C₂³	semidirect
470. #4035	C₂³	semidirect
471. #4034	C₂³	semidirect
472. #4032	C₂³	semidirect
473. #4032	C₂³	semidirect
474. #4032	C₂³	semidirect
480. #4030	C₂³	semidirect
481. #4030	C₂³	semidirect
482. #4030	C₂³	semidirect
483. #4030	C₂³	semidirect
484. #4030	C₂³	semidirect
485. #4030	C₂³	semidirect
486. #4030	C₂³	semidirect
487. #4030	C₂³	semidirect
489. #4029	C₂³	semidirect
490. #4029	C₂³	semidirect
491. #4029	C₂³	semidirect
492. #4029	C₂³	semidirect
493. #4029	C₂³	semidirect
498. #4028	C₂³	semidirect
499. #4028	C₂³	semidirect
500. #4027	C₂³	semidirect
501. #4027	C₂³	semidirect
502. #4027	C₂³	semidirect
503. #4027	C₂³	semidirect
504. #4027	C₂³	semidirect
505. #4027	C₂³	semidirect
506. #4027	C₂³	semidirect
507. #4027	C₂³	semidirect
511. D₅×C₂²⋊C₄	C₂³	semidirect
512. D₅×C₂²⋊C₄	C₂³	semidirect
513. D₅×C₂²⋊C₄	C₂³	semidirect
514. #4025	C₂³	semidirect
515. #4025	C₂³	semidirect
516. #4025	C₂³	semidirect
517. #4025	C₂³	semidirect
518. #4025	C₂³	semidirect
519. #4024	C₂³	semidirect
520. #4022	C₂³	semidirect
521. #4022	C₂³	semidirect
522. #4022	C₂³	semidirect
523. #4022	C₂³	semidirect
525. #4021	C₂³	semidirect
526. C₄×D₂₀	C₂³	semidirect
527. C₄×D₂₀	C₂³	semidirect
528. C₄×D₂₀	C₂³	semidirect
529. C₄×D₂₀	C₂³	semidirect
530. C₄×D₂₀	C₂³	semidirect
531. C₄×D₂₀	C₂³	semidirect
532. #4018	C₂³	semidirect
533. #4018	C₂³	semidirect
534. #4018	C₂³	semidirect
535. C₄²×D₅	C₂³	semidirect
554. C₂×#542	D₅	semidirect
846. #542	C₂×D₅	semidirect
860. C₂×C₄⋊Q₈	C₂×D₅	semidirect
880. C₂×#126	C₂×D₅	semidirect
881. C₂×#126	C₂×D₅	semidirect
894. C₂×#124	C₂×D₅	semidirect
895. C₂×#124	C₂×D₅	semidirect
919. C₂×#123	C₂×D₅	semidirect
932. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
933. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
934. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
972. C₂×C₄×Q₈	C₂×D₅	semidirect
991. C₂×C₄×D₄	C₂×D₅	semidirect
995. C₂×#117	C₂×D₅	semidirect
1227. C₄⋊Q₈	C₂²×D₅	semidirect
1245. #126	C₂²×D₅	semidirect
1246. #126	C₂²×D₅	semidirect
1259. #124	C₂²×D₅	semidirect
1260. #124	C₂²×D₅	semidirect
1284. #123	C₂²×D₅	semidirect
1297. C₂²⋊Q₈	C₂²×D₅	semidirect
1298. C₂²⋊Q₈	C₂²×D₅	semidirect
1299. C₂²⋊Q₈	C₂²×D₅	semidirect
1337. C₄×Q₈	C₂²×D₅	semidirect
1356. C₄×D₄	C₂²×D₅	semidirect
1360. #117	C₂²×D₅	semidirect
1795. C₂×C₅	#3560	semidirect
1952. C₅	C₂×#3560	semidirect
2027. C₂	#10618469	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×#542	2
#10618469	2
C₂×#66069	2
C₂×#66060	2
C₂×#66038	2
C₂×D₅×#126	2
C₂×#66043	2
C₂×#66013	2
C₂×#66010	2
C₂×#66012	2
C₂×#66002	2
C₂×#66000	2
C₂×#65989	2
C₂×#65994	2
C₂×#65987	2
C₂×#65964	2
C₂×#65972	2
C₂×#65978	2
C₂×#65963	2
C₂×#65980	2
C₂×#65979	2
C₂×#65954	2
C₂×#65944	2
C₂×#65916	2
C₂×#65914	2
C₂×#65884	2
C₂×#65874	2
C₂×#65864	2
C₂×#65861	2
C₂×#3560	5

Subgroups — C2×#10618469 #13006711

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618469 #13006711