Subgroups — C₂×#10618998 #13006440

Order 1280.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#562	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618998	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66027	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#66032	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#66013	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#66008	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#66008	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66004	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66000	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#65988	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#65988	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65991	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#65987	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#65995	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#65997	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#65990	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65981	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#65971	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#65965	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#65964	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×#65974	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#65961	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×#65943	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#65941	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#65939	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×D₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65933	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#65949	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×D₄×D₅	C₂²	1	1	yes	characteristic
38	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
43	C₂³×D₂₀	C₂²	1	1	yes	characteristic
44	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic, complemented
45	C₅×#562	C₂²	1	16	yes	complemented
46	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₅×#123	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
61	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
62	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
64	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
65	C₂×#4092	C₂²	1	1	yes	characteristic, complemented
66	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
67	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
68	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
69	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
70	C₂×#4086	C₂²	1	1	yes	characteristic, complemented
71	C₂×#4085	C₂²	1	1	yes	characteristic
72	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
73	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
74	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
75	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
76	C₂×#4085	C₂²	1	1	yes	characteristic, complemented
77	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
78	C₂×#4084	C₂²	1	1	yes	characteristic, complemented
79	C₂×#4083	C₂²	1	1	yes	characteristic
80	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
82	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
83	C₂×#4083	C₂²	1	1	yes	characteristic, complemented
84	C₂×#4081	C₂²	1	1	yes	characteristic, complemented
85	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
86	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
87	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
88	C₂×#4076	C₂²	1	1	yes	characteristic, complemented
89	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
90	C₂×#4075	C₂²	1	1	yes	characteristic, complemented
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	C₂²×#685	C₂²	1	1	yes	characteristic, complemented
96	C₂²×#685	C₂²	1	1	yes	characteristic, complemented
97	#66032	C₂²	1	16	yes	complemented
98	#66027	C₂²	1	16	yes	complemented
99	#66013	C₂²	1	16	yes	complemented
100	#66008	C₂²	1	16	yes	complemented
101	#66008	C₂²	1	16	yes	complemented
102	#66004	C₂²	1	16	yes	complemented
103	#66000	C₂²	1	16	yes	complemented
104	#65997	C₂²	1	16	yes	complemented
105	#65995	C₂²	1	16	yes	complemented
106	#65991	C₂²	1	16	yes	complemented
107	#65990	C₂²	1	16	yes	complemented
108	#65988	C₂²	1	16	yes	complemented
109	#65988	C₂²	1	16	yes	complemented
110	#65987	C₂²	1	16	yes	complemented
111	#65981	C₂²	1	16	yes	complemented
112	#65978	C₂²	1	16	yes	complemented
113	#65974	C₂²	1	16	yes	complemented
114	#65971	C₂²	1	16	yes	complemented
115	#65965	C₂²	1	16	yes	complemented
116	#65964	C₂²	1	16	yes	complemented
117	#65963	C₂²	1	16	yes	complemented
118	#65961	C₂²	1	16	yes	complemented
119	#65954	C₂²	1	16	yes	complemented
120	#65949	C₂²	1	16	yes	complemented
121	#65944	C₂²	1	16	yes	complemented
122	#65943	C₂²	1	16	yes	complemented
123	#65941	C₂²	1	16	yes	complemented
124	#65939	C₂²	1	16	yes	complemented
125	D₅×#121	C₂²	1	16	yes	complemented
126	#65933	C₂²	1	16	yes	complemented
127	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
128	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
129	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
130	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
131	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
132	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
133	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
134	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
135	C₂×#4042	C₂²	1	1	yes	characteristic, complemented
136	C₂×#4041	C₂²	1	1	yes	characteristic
137	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
138	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
139	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
140	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
141	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
142	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
143	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
144	C₂×#4041	C₂²	1	1	yes	characteristic, complemented
145	C₂×#4040	C₂²	1	1	yes	characteristic
146	C₂×#4040	C₂²	1	1	yes	characteristic
147	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
148	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
149	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
150	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
151	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
152	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
153	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
154	C₂×#4040	C₂²	1	1	yes	characteristic, complemented
155	C₂×#4039	C₂²	1	1	yes	characteristic
156	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
157	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
158	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
159	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
160	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
161	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
162	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
165	C₂×#4035	C₂²	1	1	yes	characteristic, complemented
166	C₂×#4033	C₂²	1	1	yes	characteristic, complemented
167	C₂×#4032	C₂²	1	1	yes	characteristic, complemented
168	C₂×#4031	C₂²	1	1	yes	characteristic, complemented
169	C₂×#4031	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×#4030	C₂²	1	1	yes	characteristic
173	C₂×#4030	C₂²	1	1	yes	characteristic
174	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
175	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
176	C₂×#4030	C₂²	1	1	yes	characteristic, complemented
177	C₂×#4030	C₂²	1	1	yes	characteristic, 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×#4030	C₂²	1	1	yes	characteristic, complemented
185	C₂×#4030	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
191	C₂×#4028	C₂²	1	1	yes	characteristic
192	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
193	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
194	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
195	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
196	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
197	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
198	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
199	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
200	C₂×#4028	C₂²	1	1	yes	characteristic, complemented
201	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
202	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
203	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
204	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
205	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
206	C₂×#4027	C₂²	1	1	yes	characteristic, complemented
207	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
208	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
209	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
210	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
211	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
212	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
213	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
214	C₂×#4023	C₂²	1	1	yes	characteristic, complemented
215	C₂×#4020	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×#4018	C₂²	1	1	yes	characteristic, complemented
219	C₂×#3542	—	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	C₂⁴×D₅	C₂³	1	1	yes	characteristic
224	C₂⁴×D₅	C₂³	1	1	yes	characteristic
225	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₂²×C₅×Q₈	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	1	yes	characteristic
230	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₂²×C₅×D₄	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	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	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	1	yes	characteristic
248	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
250	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
251	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
252	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
253	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
254	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
255	C₂³×Dic₅	C₂³	1	1	yes	characteristic
256	C₂³×Dic₅	C₂³	1	1	yes	characteristic
257	C₂³×Dic₅	C₂³	1	1	yes	characteristic
258	C₂×#713	—	4	4	no	—
259	C₂×#713	—	4	4	no	—
260	C₂×#713	C₂³	1	8	yes	complemented
261	C₂×#713	C₂³	1	8	yes	complemented
262	C₂×#711	—	4	4	no	—
263	C₂×#711	C₂³	1	8	yes	complemented
264	C₂×D₄×D₅	—	4	4	no	—
265	C₂×D₄×D₅	—	4	4	no	—
266	C₂×D₄×D₅	—	4	4	no	—
267	C₂×D₄×D₅	—	4	4	no	—
268	C₂×D₄×D₅	—	4	4	no	—
269	C₂×D₄×D₅	C₂³	1	8	yes	—
270	C₂×D₄×D₅	C₂³	1	8	yes	—
271	C₂×D₄×D₅	C₂³	1	8	yes	complemented
272	C₂×D₄×D₅	C₂³	1	8	yes	complemented
273	C₂×D₄×D₅	C₂³	1	8	yes	complemented
274	C₂×#709	—	4	4	no	—
275	C₂×#709	—	4	4	no	—
276	C₂×#709	C₂³	1	8	yes	complemented
277	C₂×#709	C₂³	1	8	yes	complemented
278	C₂²×D₂₀	—	4	4	no	—
279	C₂²×D₂₀	C₂³	1	1	yes	characteristic
280	C₂²×D₂₀	C₂³	1	1	yes	characteristic
281	C₂²×D₂₀	C₂³	1	1	yes	characteristic
282	C₂²×D₂₀	C₂³	1	1	yes	characteristic
283	C₂²×D₂₀	C₂³	1	1	yes	characteristic
284	C₂²×D₂₀	C₂³	1	1	yes	characteristic
285	C₂²×D₂₀	C₂³	1	1	yes	characteristic
286	C₂²×D₂₀	C₂³	1	1	yes	characteristic
287	C₂²×D₂₀	C₂³	1	1	yes	characteristic
288	C₂²×D₂₀	C₂³	1	1	yes	characteristic
289	C₂²×D₂₀	C₂³	1	1	yes	characteristic
290	C₂²×D₂₀	C₂³	1	1	yes	characteristic
291	C₂²×D₂₀	C₂³	1	1	yes	characteristic
292	C₂²×D₂₀	C₂³	1	1	yes	characteristic
293	C₂²×D₂₀	C₂³	1	1	yes	characteristic
294	C₂²×D₂₀	C₂³	1	1	yes	characteristic
295	C₂²×D₂₀	C₂³	1	8	yes	—
296	C₂²×C₄×D₅	—	4	4	no	—
297	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
298	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
299	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
300	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
301	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
302	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
303	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
304	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
305	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
306	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
307	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
308	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
309	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
310	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
311	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
312	C₂²×C₄×D₅	C₂³	1	8	yes	complemented
313	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
314	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
315	C₅×#125	C₂³	1	8	yes	complemented
316	C₅×#124	C₂³	1	8	yes	complemented
317	C₅×#124	C₂³	1	8	yes	complemented
318	C₅×#123	C₂³	1	8	yes	complemented
319	C₅×#123	C₂³	1	8	yes	complemented
320	C₅×#123	C₂³	1	8	yes	complemented
321	C₅×#123	C₂³	1	8	yes	complemented
322	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
323	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
324	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
325	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
326	C₅×#121	C₂³	1	8	yes	complemented
327	C₅×#121	C₂³	1	8	yes	complemented
328	C₅×#121	C₂³	1	8	yes	complemented
329	C₅×#121	C₂³	1	8	yes	complemented
330	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
351	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
359	#4093	C₂³	1	8	yes	complemented
360	#4093	C₂³	1	8	yes	complemented
361	#4093	C₂³	1	8	yes	complemented
362	#4092	C₂³	1	8	yes	complemented
363	#4092	C₂³	1	8	yes	complemented
364	#4090	C₂³	1	8	yes	complemented
365	#4086	C₂³	1	8	yes	complemented
366	#4086	C₂³	1	8	yes	complemented
367	#4086	C₂³	1	8	yes	complemented
368	#4086	C₂³	1	8	yes	complemented
369	#4085	C₂³	1	8	yes	—
370	#4085	C₂³	1	8	yes	complemented
371	#4085	C₂³	1	8	yes	complemented
372	#4085	C₂³	1	8	yes	complemented
373	#4085	C₂³	1	8	yes	complemented
374	#4085	C₂³	1	8	yes	complemented
375	#4084	C₂³	1	8	yes	complemented
376	#4084	C₂³	1	8	yes	complemented
377	#4083	C₂³	1	8	yes	—
378	#4083	C₂³	1	8	yes	complemented
379	#4083	C₂³	1	8	yes	complemented
380	#4083	C₂³	1	8	yes	complemented
381	#4083	C₂³	1	8	yes	complemented
382	#4081	C₂³	1	8	yes	complemented
383	#4076	C₂³	1	8	yes	complemented
384	#4076	C₂³	1	8	yes	complemented
385	#4076	C₂³	1	8	yes	complemented
386	#4076	C₂³	1	8	yes	complemented
387	#4075	C₂³	1	8	yes	complemented
388	#4075	C₂³	1	8	yes	complemented
389	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
390	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
391	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
392	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
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	1	yes	characteristic
411	C₂×#685	C₂³	1	1	yes	characteristic
412	C₂×#685	C₂³	1	1	yes	characteristic
413	C₂×#685	C₂³	1	1	yes	characteristic
414	C₂×#685	C₂³	1	1	yes	characteristic
415	C₂×#685	C₂³	1	1	yes	characteristic
416	C₂×#685	C₂³	1	1	yes	characteristic
417	C₂×#685	C₂³	1	1	yes	characteristic
418	C₂×#685	C₂³	1	1	yes	characteristic
419	C₂×#685	C₂³	1	1	yes	characteristic
420	C₂×#685	C₂³	1	1	yes	characteristic
421	C₂×#685	C₂³	1	1	yes	characteristic
422	C₂×#685	C₂³	1	1	yes	characteristic
423	C₂×#685	C₂³	1	8	yes	complemented
424	C₂×#685	C₂³	1	8	yes	complemented
425	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
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×#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×C₄×Dic₅	C₂³	1	1	yes	characteristic
444	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
445	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
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	#4044	C₂³	1	8	yes	complemented
451	#4044	C₂³	1	8	yes	complemented
452	#4044	C₂³	1	8	yes	complemented
453	#4044	C₂³	1	8	yes	complemented
454	#4043	C₂³	1	8	yes	complemented
455	#4042	C₂³	1	8	yes	complemented
456	#4042	C₂³	1	8	yes	complemented
457	#4042	C₂³	1	8	yes	complemented
458	#4042	C₂³	1	8	yes	complemented
459	#4041	C₂³	1	8	yes	—
460	#4041	C₂³	1	8	yes	complemented
461	#4041	C₂³	1	8	yes	complemented
462	#4041	C₂³	1	8	yes	complemented
463	#4041	C₂³	1	8	yes	complemented
464	#4041	C₂³	1	8	yes	complemented
465	#4041	C₂³	1	8	yes	complemented
466	#4041	C₂³	1	8	yes	complemented
467	#4041	C₂³	1	8	yes	complemented
468	#4040	C₂³	1	8	yes	—
469	#4040	C₂³	1	8	yes	—
470	#4040	C₂³	1	8	yes	complemented
471	#4040	C₂³	1	8	yes	complemented
472	#4040	C₂³	1	8	yes	complemented
473	#4040	C₂³	1	8	yes	complemented
474	#4040	C₂³	1	8	yes	complemented
475	#4040	C₂³	1	8	yes	complemented
476	#4040	C₂³	1	8	yes	complemented
477	#4040	C₂³	1	8	yes	complemented
478	#4039	C₂³	1	8	yes	—
479	#4039	C₂³	1	8	yes	complemented
480	#4039	C₂³	1	8	yes	complemented
481	#4039	C₂³	1	8	yes	complemented
482	#4039	C₂³	1	8	yes	complemented
483	#4038	C₂³	1	8	yes	complemented
484	#4038	C₂³	1	8	yes	complemented
485	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
486	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
487	#4035	C₂³	1	8	yes	complemented
488	#4035	C₂³	1	8	yes	complemented
489	#4033	C₂³	1	8	yes	complemented
490	#4032	C₂³	1	8	yes	complemented
491	#4031	C₂³	1	8	yes	complemented
492	#4031	C₂³	1	8	yes	complemented
493	#4031	C₂³	1	8	yes	complemented
494	#4031	C₂³	1	8	yes	complemented
495	#4030	C₂³	1	8	yes	—
496	#4030	C₂³	1	8	yes	—
497	#4030	C₂³	1	8	yes	complemented
498	#4030	C₂³	1	8	yes	complemented
499	#4030	C₂³	1	8	yes	complemented
500	#4030	C₂³	1	8	yes	complemented
501	#4030	C₂³	1	8	yes	complemented
502	#4030	C₂³	1	8	yes	complemented
503	#4030	C₂³	1	8	yes	complemented
504	#4030	C₂³	1	8	yes	complemented
505	#4030	C₂³	1	8	yes	complemented
506	#4030	C₂³	1	8	yes	complemented
507	#4030	C₂³	1	8	yes	complemented
508	#4030	C₂³	1	8	yes	complemented
509	#4029	C₂³	1	8	yes	complemented
510	#4029	C₂³	1	8	yes	complemented
511	#4029	C₂³	1	8	yes	complemented
512	#4029	C₂³	1	8	yes	complemented
513	#4028	C₂³	1	8	yes	—
514	#4028	C₂³	1	8	yes	—
515	#4028	C₂³	1	8	yes	complemented
516	#4028	C₂³	1	8	yes	complemented
517	#4028	C₂³	1	8	yes	complemented
518	#4028	C₂³	1	8	yes	complemented
519	#4028	C₂³	1	8	yes	complemented
520	#4028	C₂³	1	8	yes	complemented
521	#4028	C₂³	1	8	yes	complemented
522	#4028	C₂³	1	8	yes	complemented
523	#4028	C₂³	1	8	yes	complemented
524	#4027	C₂³	1	8	yes	complemented
525	#4027	C₂³	1	8	yes	complemented
526	#4027	C₂³	1	8	yes	complemented
527	#4027	C₂³	1	8	yes	complemented
528	#4027	C₂³	1	8	yes	complemented
529	#4027	C₂³	1	8	yes	complemented
530	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
531	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
532	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
533	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
534	#4025	C₂³	1	8	yes	complemented
535	#4025	C₂³	1	8	yes	complemented
536	#4023	C₂³	1	8	yes	complemented
537	#4023	C₂³	1	8	yes	complemented
538	#4020	C₂³	1	8	yes	complemented
539	#4018	C₂³	1	8	yes	complemented
540	#4018	C₂³	1	8	yes	complemented
541	#4018	C₂³	1	8	yes	complemented
542	#3542	—	5	32	no	—
543	C₂×#562	—	5	1	no	—
544	C₂×#562	D₅	1	1	yes	characteristic, complemented
545	C₂×#560	—	5	1	no	—
546	C₂×#560	—	5	1	no	—
547	C₂×#555	—	5	1	no	—
548	C₂×#553	—	5	1	no	—
549	C₂×#552	—	5	1	no	—
550	C₂×#551	—	5	1	no	—
551	C₂×#551	—	5	1	no	—
552	C₂×#550	—	5	1	no	—
553	C₂×#547	—	5	1	no	—
554	C₂×#546	—	5	1	no	—
555	C₂×#546	—	5	1	no	—
556	C₂×#546	—	5	1	no	—
557	C₂×#546	—	5	1	no	—
558	C₂×D₄²	—	5	1	no	—
559	C₂×#542	—	5	1	no	—
560	C₂×#540	—	5	1	no	—
561	C₂×#540	—	5	1	no	—
562	C₂×#540	—	5	1	no	—
563	C₂×#538	—	5	1	no	—
564	C₂×#538	—	5	1	no	—
565	C₂×#537	—	5	1	no	—
566	C₂×#535	—	5	1	no	—
567	C₂×#535	—	5	1	no	—
568	C₂×#535	—	5	1	no	—
569	C₂×#534	—	5	1	no	—
570	C₂×#534	—	5	1	no	—
571	C₂×#525	—	5	1	no	—
572	C₂×#525	—	5	1	no	—
573	C₂²×#121	—	5	1	no	—
574	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
575	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
576	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
577	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
578	C₂³×D₅	—	2	4	no	—
579	C₂³×D₅	—	2	4	no	—
580	C₂³×D₅	—	2	4	no	—
581	C₂³×D₅	—	4	2	no	—
582	C₂³×D₅	—	4	2	no	—
583	C₂³×D₅	—	4	2	no	—
584	C₂³×D₅	—	4	2	no	—
585	C₂³×D₅	—	4	2	no	—
586	C₂³×D₅	—	4	2	no	—
587	C₂³×D₅	—	4	2	no	—
588	C₂³×D₅	—	4	2	no	—
589	C₂³×D₅	—	4	2	no	—
590	C₂³×D₅	—	4	2	no	—
591	C₂³×D₅	—	4	2	no	—
592	C₂³×D₅	—	4	2	no	—
593	C₂³×D₅	C₂⁴	1	1	yes	characteristic
594	C₂³×D₅	C₂⁴	1	1	yes	characteristic
595	C₂³×D₅	C₂⁴	1	1	yes	characteristic
596	C₂³×D₅	C₂⁴	1	1	yes	characteristic
597	C₂³×D₅	C₂⁴	1	1	yes	characteristic
598	C₂³×D₅	C₂⁴	1	1	yes	characteristic
599	C₂³×D₅	C₂⁴	1	1	yes	characteristic
600	C₂³×D₅	C₂⁴	1	4	yes	—
601	C₂³×D₅	C₂⁴	1	4	yes	—
602	C₂³×D₅	C₂⁴	1	4	yes	—
603	C₂³×D₅	C₂⁴	1	4	yes	—
604	C₂³×D₅	C₂⁴	1	4	yes	—
605	C₂×C₅×Q₈	—	4	2	no	—
606	C₂×C₅×Q₈	—	4	2	no	—
607	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
608	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
609	C₂×C₅×D₄	—	4	2	no	—
610	C₂×C₅×D₄	—	4	2	no	—
611	C₂×C₅×D₄	—	4	2	no	—
612	C₂×C₅×D₄	—	4	2	no	—
613	C₂×C₅×D₄	—	4	2	no	—
614	C₂×C₅×D₄	—	4	2	no	—
615	C₂×C₅×D₄	C₂⁴	1	4	yes	—
616	C₂×C₅×D₄	C₂⁴	1	4	yes	—
617	C₂×C₅×D₄	C₂⁴	1	4	yes	—
618	C₂×C₅×D₄	C₂⁴	1	4	yes	—
619	C₂×C₅×D₄	C₂⁴	1	4	yes	—
620	C₂×C₅×D₄	C₂⁴	1	4	yes	—
621	C₂²×C₄×C₅	—	4	2	no	—
622	C₂²×C₄×C₅	—	4	2	no	—
623	C₂²×C₄×C₅	—	4	2	no	—
624	C₂²×C₄×C₅	—	4	2	no	—
625	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
629	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
630	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
631	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
632	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
633	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
634	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
635	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
636	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
637	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
638	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
639	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
640	C₂×C₂²⋊D₅	—	2	4	no	—
641	C₂×C₂²⋊D₅	—	2	4	no	—
642	C₂×C₂²⋊D₅	—	2	4	no	—
643	C₂×C₂²⋊D₅	—	2	4	no	—
644	C₂×C₂²⋊D₅	—	4	2	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	—	4	2	no	—
652	C₂×C₂²⋊D₅	—	4	2	no	—
653	C₂×C₂²⋊D₅	—	4	2	no	—
654	C₂×C₂²⋊D₅	—	4	2	no	—
655	C₂×C₂²⋊D₅	—	4	2	no	—
656	C₂×C₂²⋊D₅	—	4	2	no	—
657	C₂×C₂²⋊D₅	—	4	2	no	—
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	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
669	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
670	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
671	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
672	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
673	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
674	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
675	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
676	C₂²×Dic₅	—	2	4	no	—
677	C₂²×Dic₅	—	4	2	no	—
678	C₂²×Dic₅	—	4	2	no	—
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	1	yes	characteristic
686	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
691	#713	—	4	16	no	—
692	#713	—	4	16	no	—
693	#711	—	4	16	no	—
694	D₄×D₅	—	4	16	no	—
695	D₄×D₅	—	4	16	no	—
696	D₄×D₅	—	4	16	no	—
697	D₄×D₅	—	4	16	no	—
698	D₄×D₅	—	4	16	no	—
699	#709	—	4	16	no	—
700	#709	—	4	16	no	—
701	C₂×D₂₀	—	2	4	no	—
702	C₂×D₂₀	—	2	4	no	—
703	C₂×D₂₀	—	2	4	no	—
704	C₂×D₂₀	—	4	16	no	—
705	C₂×D₂₀	—	4	2	no	—
706	C₂×D₂₀	—	4	2	no	—
707	C₂×D₂₀	—	4	2	no	—
708	C₂×D₂₀	—	4	2	no	—
709	C₂×D₂₀	—	4	2	no	—
710	C₂×D₂₀	—	4	2	no	—
711	C₂×D₂₀	—	4	2	no	—
712	C₂×D₂₀	—	4	2	no	—
713	C₂×D₂₀	—	4	2	no	—
714	C₂×D₂₀	—	4	2	no	—
715	C₂×D₂₀	—	4	2	no	—
716	C₂×D₂₀	—	4	2	no	—
717	C₂×D₂₀	—	4	2	no	—
718	C₂×D₂₀	C₂⁴	1	4	yes	—
719	C₂×D₂₀	C₂⁴	1	4	yes	—
720	C₂×D₂₀	C₂⁴	1	4	yes	—
721	C₂×D₂₀	C₂⁴	1	4	yes	—
722	C₂×D₂₀	C₂⁴	1	4	yes	—
723	C₂×D₂₀	C₂⁴	1	4	yes	—
724	C₂×D₂₀	C₂⁴	1	4	yes	—
725	C₂×D₂₀	C₂⁴	1	4	yes	—
726	C₂×D₂₀	C₂⁴	1	4	yes	—
727	C₂×D₂₀	C₂⁴	1	4	yes	—
728	C₂×D₂₀	C₂⁴	1	4	yes	—
729	C₂×D₂₀	C₂⁴	1	4	yes	—
730	C₂×D₂₀	C₂⁴	1	4	yes	—
731	C₂×D₂₀	C₂⁴	1	4	yes	—
732	C₂×D₂₀	C₂⁴	1	4	yes	—
733	C₂×D₂₀	C₂⁴	1	4	yes	—
734	C₂×C₄×D₅	—	2	4	no	—
735	C₂×C₄×D₅	—	2	4	no	—
736	C₂×C₄×D₅	—	2	4	no	—
737	C₂×C₄×D₅	—	2	4	no	—
738	C₂×C₄×D₅	—	2	4	no	—
739	C₂×C₄×D₅	—	2	4	no	—
740	C₂×C₄×D₅	—	4	16	no	—
741	C₂×C₄×D₅	—	4	2	no	—
742	C₂×C₄×D₅	—	4	2	no	—
743	C₂×C₄×D₅	—	4	2	no	—
744	C₂×C₄×D₅	—	4	2	no	—
745	C₂×C₄×D₅	—	4	2	no	—
746	C₂×C₄×D₅	—	4	2	no	—
747	C₂×C₄×D₅	—	4	2	no	—
748	C₂×C₄×D₅	—	4	2	no	—
749	C₂×C₄×D₅	—	4	2	no	—
750	C₂×C₄×D₅	C₂⁴	1	4	yes	—
751	C₂×C₄×D₅	C₂⁴	1	4	yes	—
752	C₂×C₄×D₅	C₂⁴	1	4	yes	—
753	C₂×C₄×D₅	C₂⁴	1	4	yes	—
754	C₂×C₄×D₅	C₂⁴	1	4	yes	—
755	C₂×C₄×D₅	C₂⁴	1	4	yes	—
756	C₂×C₄×D₅	C₂⁴	1	4	yes	—
757	C₂×C₄×D₅	C₂⁴	1	4	yes	—
758	C₂×C₄×D₅	C₂⁴	1	4	yes	—
759	C₂×C₄×D₅	C₂⁴	1	4	yes	—
760	C₂×C₄×D₅	C₂⁴	1	4	yes	—
761	C₂×C₄×D₅	C₂⁴	1	4	yes	—
762	C₂×C₄×D₅	C₂⁴	1	4	yes	—
763	C₂×C₄×D₅	C₂⁴	1	4	yes	—
764	C₂×C₄×D₅	C₂⁴	1	4	yes	—
765	C₂×Dic₁₀	—	2	4	no	—
766	C₂×Dic₁₀	—	4	2	no	—
767	C₂×Dic₁₀	C₂⁴	1	4	yes	—
768	C₂×Dic₁₀	C₂⁴	1	4	yes	—
769	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
770	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
771	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
772	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
773	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
774	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
775	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
776	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
777	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
778	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
779	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
780	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
781	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
782	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
783	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
784	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
785	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
786	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
787	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
788	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
789	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
790	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
791	C₄²×C₅	C₂⁴	1	4	yes	—
792	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
793	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
794	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
795	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
796	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
797	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
798	#685	C₂⁴	1	4	yes	—
799	#685	C₂⁴	1	4	yes	—
800	#685	C₂⁴	1	4	yes	—
801	#685	C₂⁴	1	4	yes	—
802	#685	C₂⁴	1	4	yes	—
803	#685	C₂⁴	1	4	yes	—
804	#685	C₂⁴	1	4	yes	—
805	#685	C₂⁴	1	4	yes	—
806	#685	C₂⁴	1	4	yes	—
807	#685	C₂⁴	1	4	yes	—
808	#685	C₂⁴	1	4	yes	—
809	#685	C₂⁴	1	4	yes	—
810	#685	C₂⁴	1	4	yes	—
811	#685	C₂⁴	1	4	yes	—
812	#685	C₂⁴	1	4	yes	—
813	#685	C₂⁴	1	4	yes	—
814	#685	C₂⁴	1	4	yes	—
815	#685	C₂⁴	1	4	yes	—
816	#685	C₂⁴	1	4	yes	—
817	#685	C₂⁴	1	4	yes	—
818	#685	C₂⁴	1	4	yes	—
819	#685	C₂⁴	1	4	yes	—
820	#685	C₂⁴	1	4	yes	—
821	#685	C₂⁴	1	4	yes	—
822	#685	C₂⁴	1	4	yes	—
823	#685	C₂⁴	1	4	yes	—
824	#685	C₂⁴	1	4	yes	—
825	#685	C₂⁴	1	4	yes	—
826	#685	C₂⁴	1	4	yes	—
827	#685	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	#683	C₂⁴	1	4	yes	—
833	#683	C₂⁴	1	4	yes	—
834	#683	C₂⁴	1	4	yes	—
835	#683	C₂⁴	1	4	yes	—
836	#683	C₂⁴	1	4	yes	—
837	#683	C₂⁴	1	4	yes	—
838	#683	C₂⁴	1	4	yes	—
839	#683	C₂⁴	1	4	yes	—
840	#683	C₂⁴	1	4	yes	—
841	#683	C₂⁴	1	4	yes	—
842	#683	C₂⁴	1	4	yes	—
843	#683	C₂⁴	1	4	yes	—
844	#683	C₂⁴	1	4	yes	—
845	#683	C₂⁴	1	4	yes	—
846	C₄×Dic₅	C₂⁴	1	4	yes	—
847	C₄×Dic₅	C₂⁴	1	4	yes	—
848	C₄×Dic₅	C₂⁴	1	4	yes	—
849	C₄×Dic₅	C₂⁴	1	4	yes	—
850	C₄×Dic₅	C₂⁴	1	4	yes	—
851	C₄×Dic₅	C₂⁴	1	4	yes	—
852	C₄×Dic₅	C₂⁴	1	4	yes	—
853	C₂²×#41	—	5	1	no	—
854	C₂²×#41	—	5	1	no	—
855	C₂²×#41	—	5	1	no	—
856	C₂²×#41	—	5	1	no	—
857	C₂²×#41	—	5	1	no	—
858	C₂³×D₄	—	5	1	no	—
859	C₂³×D₄	—	5	1	no	—
860	C₂³×D₄	—	5	1	no	—
861	C₂³×D₄	—	5	1	no	—
862	C₂³×D₄	—	5	1	no	—
863	C₂³×D₄	—	5	1	no	—
864	C₂⁴×C₄	—	5	1	no	—
865	#562	—	5	16	no	—
866	#562	C₂×D₅	1	16	yes	complemented
867	#560	—	5	16	no	—
868	#560	—	5	16	no	—
869	#555	—	5	16	no	—
870	#553	—	5	16	no	—
871	#552	—	5	16	no	—
872	#551	—	5	16	no	—
873	#551	—	5	16	no	—
874	#550	—	5	16	no	—
875	#547	—	5	16	no	—
876	#546	—	5	16	no	—
877	#546	—	5	16	no	—
878	#546	—	5	16	no	—
879	#546	—	5	16	no	—
880	D₄²	—	5	16	no	—
881	#542	—	5	16	no	—
882	#540	—	5	16	no	—
883	#540	—	5	16	no	—
884	#540	—	5	16	no	—
885	#538	—	5	16	no	—
886	#538	—	5	16	no	—
887	#537	—	5	16	no	—
888	#535	—	5	16	no	—
889	#535	—	5	16	no	—
890	#535	—	5	16	no	—
891	#534	—	5	16	no	—
892	#534	—	5	16	no	—
893	C₂×C₄⋊Q₈	—	5	1	no	—
894	C₂×#127	—	5	1	no	—
895	C₂×#127	—	5	1	no	—
896	C₂×#127	—	5	1	no	—
897	C₂×#127	—	5	1	no	—
898	C₂×#127	—	5	1	no	—
899	C₂×#126	—	5	1	no	—
900	C₂×#126	—	5	1	no	—
901	C₂×#126	—	5	1	no	—
902	C₂×#126	—	5	1	no	—
903	C₂×#126	—	5	1	no	—
904	C₂×#126	—	5	1	no	—
905	C₂×#125	—	5	1	no	—
906	C₂×#125	—	5	1	no	—
907	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
908	C₂×#124	—	5	1	no	—
909	C₂×#124	—	5	1	no	—
910	C₂×#124	—	5	1	no	—
911	C₂×#124	—	5	1	no	—
912	C₂×#124	—	5	1	no	—
913	C₂×#124	—	5	1	no	—
914	C₂×#124	—	5	1	no	—
915	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
916	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
917	#525	—	5	16	no	—
918	#525	—	5	16	no	—
919	C₂×#123	—	5	1	no	—
920	C₂×#123	—	5	1	no	—
921	C₂×#123	—	5	1	no	—
922	C₂×#123	—	5	1	no	—
923	C₂×#123	—	5	1	no	—
924	C₂×#123	—	5	1	no	—
925	C₂×#123	—	5	1	no	—
926	C₂×#123	—	5	1	no	—
927	C₂×#123	—	5	1	no	—
928	C₂×#123	—	5	1	no	—
929	C₂×#123	—	5	1	no	—
930	C₂×#123	—	5	1	no	—
931	C₂×#123	—	5	1	no	—
932	C₂×#123	—	5	1	no	—
933	C₂×#123	—	5	1	no	—
934	C₂×#123	—	5	1	no	—
935	C₂×#123	—	5	1	no	—
936	C₂×#123	—	5	1	no	—
937	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
938	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
939	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
940	C₂×#123	C₂×D₅	1	1	yes	characteristic, complemented
941	C₂×C₂²⋊Q₈	—	5	1	no	—
942	C₂×C₂²⋊Q₈	—	5	1	no	—
943	C₂×C₂²⋊Q₈	—	5	1	no	—
944	C₂×C₂²⋊Q₈	—	5	1	no	—
945	C₂×C₂²⋊Q₈	—	5	1	no	—
946	C₂×C₂²⋊Q₈	—	5	1	no	—
947	C₂×C₂²⋊Q₈	—	5	1	no	—
948	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
949	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
950	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
951	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
962	C₂×#121	—	5	1	no	—
963	C₂×#121	—	5	1	no	—
964	C₂×#121	—	5	16	no	—
965	C₂×#121	—	5	1	no	—
966	C₂×#121	—	5	1	no	—
967	C₂×#121	—	5	1	no	—
968	C₂×#121	—	5	1	no	—
969	C₂×#121	—	5	1	no	—
970	C₂×#121	—	5	1	no	—
971	C₂×#121	—	5	1	no	—
972	C₂×#121	—	5	1	no	—
973	C₂×#121	—	5	1	no	—
974	C₂×#121	—	5	1	no	—
975	C₂×#121	—	5	1	no	—
976	C₂×#121	—	5	1	no	—
977	C₂×#121	—	5	1	no	—
978	C₂×#121	—	5	1	no	—
979	C₂×#121	—	5	1	no	—
980	C₂×#121	—	5	1	no	—
981	C₂×#121	—	5	1	no	—
982	C₂×#121	—	5	1	no	—
983	C₂×#121	—	5	1	no	—
984	C₂×#121	—	5	1	no	—
985	C₂×#121	—	5	1	no	—
986	C₂×#121	—	5	1	no	—
987	C₂×#121	—	5	1	no	—
988	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
989	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
990	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
991	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
992	C₂×#120	—	5	1	no	—
993	C₂×#120	—	5	1	no	—
994	C₂×#120	—	5	1	no	—
995	C₂×#120	—	5	1	no	—
996	C₂×#120	—	5	1	no	—
997	C₂×#120	—	5	1	no	—
998	C₂×#120	—	5	1	no	—
999	C₂×#120	—	5	1	no	—
1000	C₂×#120	—	5	1	no	—
1001	C₂×#120	—	5	1	no	—
1002	C₂×#120	—	5	1	no	—
1003	C₂×#120	—	5	1	no	—
1004	C₂×#120	—	5	1	no	—
1005	C₂×#120	—	5	1	no	—
1006	C₂×#120	—	5	1	no	—
1007	C₂×#120	—	5	1	no	—
1008	C₂×C₄×Q₈	—	5	1	no	—
1009	C₂×C₄×D₄	—	5	1	no	—
1010	C₂×C₄×D₄	—	5	1	no	—
1011	C₂×C₄×D₄	—	5	1	no	—
1012	C₂×C₄×D₄	—	5	1	no	—
1013	C₂×C₄×D₄	—	5	1	no	—
1014	C₂×C₄×D₄	—	5	1	no	—
1015	C₂×C₄×D₄	—	5	1	no	—
1016	C₂×C₄×D₄	—	5	1	no	—
1017	C₂×C₄×D₄	—	5	1	no	—
1018	C₂×C₄×D₄	—	5	1	no	—
1019	C₂×C₄×D₄	—	5	1	no	—
1020	C₂×C₄×D₄	—	5	1	no	—
1021	C₂×C₄×D₄	—	5	1	no	—
1022	C₂×C₄×D₄	—	5	1	no	—
1023	C₂×C₄×D₄	—	5	1	no	—
1024	C₂×#117	—	5	1	no	—
1025	C₂×#117	—	5	1	no	—
1026	C₂×#117	—	5	1	no	—
1027	C₂×#117	—	5	1	no	—
1028	C₂×#117	—	5	1	no	—
1029	C₂×#117	—	5	1	no	—
1030	C₂×#117	—	5	1	no	—
1031	C₂²×C₄⋊C₄	—	5	1	no	—
1032	C₂²×C₄⋊C₄	—	5	1	no	—
1033	C₂²×C₂²⋊C₄	—	5	1	no	—
1034	C₂²×C₂²⋊C₄	—	5	1	no	—
1035	C₂²×C₂²⋊C₄	—	5	1	no	—
1036	C₂²×C₂²⋊C₄	—	5	1	no	—
1037	C₂²×C₂²⋊C₄	—	5	1	no	—
1038	C₂²×C₂²⋊C₄	—	5	1	no	—
1039	C₂³×C₅	—	2	2	no	—
1040	C₂³×C₅	—	2	2	no	—
1041	C₂³×C₅	—	2	2	no	—
1042	C₂³×C₅	—	2	2	no	—
1043	C₂³×C₅	—	2	2	no	—
1044	C₂³×C₅	—	2	2	no	—
1045	C₂³×C₅	—	2	2	no	—
1046	C₂³×C₅	—	2	2	no	—
1047	C₂³×C₅	—	2	2	no	—
1048	C₂³×C₅	—	2	2	no	—
1049	C₂³×C₅	—	2	2	no	—
1050	C₂³×C₅	—	2	2	no	—
1051	C₂³×C₅	C₂⁵	1	2	yes	—
1052	C₂³×C₅	C₂⁵	1	2	yes	—
1053	C₂³×C₅	C₂⁵	1	2	yes	—
1054	C₂³×C₅	C₂⁵	1	2	yes	—
1055	C₂³×C₅	C₂⁵	1	1	yes	characteristic
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	2	no	—
1061	C₂²×D₅	—	2	2	no	—
1062	C₂²×D₅	—	2	2	no	—
1063	C₂²×D₅	—	2	2	no	—
1064	C₂²×D₅	—	2	2	no	—
1065	C₂²×D₅	—	2	2	no	—
1066	C₂²×D₅	—	2	2	no	—
1067	C₂²×D₅	—	2	2	no	—
1068	C₂²×D₅	—	2	2	no	—
1069	C₂²×D₅	—	2	2	no	—
1070	C₂²×D₅	—	2	2	no	—
1071	C₂²×D₅	—	2	2	no	—
1072	C₂²×D₅	—	2	2	no	—
1073	C₂²×D₅	—	2	2	no	—
1074	C₂²×D₅	—	2	2	no	—
1075	C₂²×D₅	—	2	2	no	—
1076	C₂²×D₅	—	2	8	no	—
1077	C₂²×D₅	—	2	8	no	—
1078	C₂²×D₅	—	2	8	no	—
1079	C₂²×D₅	—	4	4	no	—
1080	C₂²×D₅	—	4	4	no	—
1081	C₂²×D₅	—	4	4	no	—
1082	C₂²×D₅	—	4	4	no	—
1083	C₂²×D₅	—	4	4	no	—
1084	C₂²×D₅	—	4	4	no	—
1085	C₂²×D₅	—	4	4	no	—
1086	C₂²×D₅	—	4	4	no	—
1087	C₂²×D₅	—	4	4	no	—
1088	C₂²×D₅	—	4	4	no	—
1089	C₂²×D₅	—	4	4	no	—
1090	C₂²×D₅	—	4	4	no	—
1091	C₂²×D₅	—	4	16	no	—
1092	C₂²×D₅	—	8	8	no	—
1093	C₂²×D₅	—	8	8	no	—
1094	C₂²×D₅	—	8	8	no	—
1095	C₂²×D₅	—	8	8	no	—
1096	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
1097	C₂²×D₅	C₂⁵	1	2	yes	—
1098	C₂²×D₅	C₂⁵	1	2	yes	—
1099	C₂²×D₅	C₂⁵	1	2	yes	—
1100	C₂²×D₅	C₂⁵	1	2	yes	—
1101	C₂²×D₅	C₂⁵	1	2	yes	—
1102	C₂²×D₅	C₂⁵	1	2	yes	—
1103	C₂²×D₅	C₂⁵	1	2	yes	—
1104	C₅×Q₈	—	4	4	no	—
1105	C₅×Q₈	—	4	4	no	—
1106	C₅×D₄	—	4	4	no	—
1107	C₅×D₄	—	4	4	no	—
1108	C₅×D₄	—	4	4	no	—
1109	C₅×D₄	—	4	4	no	—
1110	C₅×D₄	—	4	4	no	—
1111	C₅×D₄	—	4	4	no	—
1112	C₂×C₄×C₅	—	2	2	no	—
1113	C₂×C₄×C₅	—	2	2	no	—
1114	C₂×C₄×C₅	—	2	2	no	—
1115	C₂×C₄×C₅	—	2	2	no	—
1116	C₂×C₄×C₅	—	2	2	no	—
1117	C₂×C₄×C₅	—	2	2	no	—
1118	C₂×C₄×C₅	—	2	2	no	—
1119	C₂×C₄×C₅	—	2	2	no	—
1120	C₂×C₄×C₅	—	2	2	no	—
1121	C₂×C₄×C₅	—	2	2	no	—
1122	C₂×C₄×C₅	—	2	2	no	—
1123	C₂×C₄×C₅	—	4	4	no	—
1124	C₂×C₄×C₅	—	4	4	no	—
1125	C₂×C₄×C₅	—	4	4	no	—
1126	C₂×C₄×C₅	—	4	4	no	—
1127	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1128	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1129	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1130	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1131	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1132	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1133	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1134	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1135	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1136	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1137	C₂×C₄×C₅	C₂⁵	1	2	yes	—
1138	C₂²⋊D₅	—	2	8	no	—
1139	C₂²⋊D₅	—	2	8	no	—
1140	C₂²⋊D₅	—	2	8	no	—
1141	C₂²⋊D₅	—	2	8	no	—
1142	C₂²⋊D₅	—	4	4	no	—
1143	C₂²⋊D₅	—	4	4	no	—
1144	C₂²⋊D₅	—	4	4	no	—
1145	C₂²⋊D₅	—	4	4	no	—
1146	C₂²⋊D₅	—	4	4	no	—
1147	C₂²⋊D₅	—	4	4	no	—
1148	C₂²⋊D₅	—	4	4	no	—
1149	C₂²⋊D₅	—	4	4	no	—
1150	C₂²⋊D₅	—	4	4	no	—
1151	C₂²⋊D₅	—	4	4	no	—
1152	C₂²⋊D₅	—	4	4	no	—
1153	C₂²⋊D₅	—	4	4	no	—
1154	C₂²⋊D₅	—	4	4	no	—
1155	C₂²⋊D₅	—	4	4	no	—
1156	C₂×Dic₅	—	2	2	no	—
1157	C₂×Dic₅	—	2	2	no	—
1158	C₂×Dic₅	—	2	2	no	—
1159	C₂×Dic₅	—	2	2	no	—
1160	C₂×Dic₅	—	2	2	no	—
1161	C₂×Dic₅	—	2	2	no	—
1162	C₂×Dic₅	—	2	2	no	—
1163	C₂×Dic₅	—	2	2	no	—
1164	C₂×Dic₅	—	2	8	no	—
1165	C₂×Dic₅	—	4	4	no	—
1166	C₂×Dic₅	—	4	4	no	—
1167	C₂×Dic₅	H(5,𝔽₂)	1	4	yes	—
1168	C₂×Dic₅	C₂⁵	1	2	yes	—
1169	C₂×Dic₅	C₂⁵	1	2	yes	—
1170	C₂×Dic₅	C₂⁵	1	2	yes	—
1171	C₂×Dic₅	C₂⁵	1	2	yes	—
1172	C₂×Dic₅	C₂⁵	1	2	yes	—
1173	C₂×Dic₅	C₂⁵	1	2	yes	—
1174	C₂×Dic₅	C₂⁵	1	2	yes	—
1175	C₂×Dic₅	C₂⁵	1	2	yes	—
1176	C₂×Dic₅	C₂⁵	1	2	yes	—
1177	D₂₀	—	2	8	no	—
1178	D₂₀	—	2	8	no	—
1179	D₂₀	—	2	8	no	—
1180	D₂₀	—	4	4	no	—
1181	D₂₀	—	4	4	no	—
1182	D₂₀	—	4	4	no	—
1183	D₂₀	—	4	4	no	—
1184	D₂₀	—	4	4	no	—
1185	D₂₀	—	4	4	no	—
1186	D₂₀	—	4	4	no	—
1187	D₂₀	—	4	4	no	—
1188	D₂₀	—	4	4	no	—
1189	D₂₀	—	4	4	no	—
1190	D₂₀	—	4	4	no	—
1191	D₂₀	—	4	4	no	—
1192	D₂₀	—	4	4	no	—
1193	C₄×D₅	—	2	8	no	—
1194	C₄×D₅	—	2	8	no	—
1195	C₄×D₅	—	2	8	no	—
1196	C₄×D₅	—	2	8	no	—
1197	C₄×D₅	—	2	8	no	—
1198	C₄×D₅	—	2	8	no	—
1199	C₄×D₅	—	4	4	no	—
1200	C₄×D₅	—	4	4	no	—
1201	C₄×D₅	—	4	4	no	—
1202	C₄×D₅	—	4	4	no	—
1203	C₄×D₅	—	4	4	no	—
1204	C₄×D₅	—	4	4	no	—
1205	C₄×D₅	—	4	4	no	—
1206	C₄×D₅	—	4	4	no	—
1207	C₄×D₅	—	4	4	no	—
1208	Dic₁₀	—	2	8	no	—
1209	Dic₁₀	—	4	4	no	—
1210	C₂⁵	—	5	1	no	—
1211	C₂⁵	—	5	1	no	—
1212	C₂⁵	—	5	1	no	—
1213	C₂⁵	—	5	1	no	—
1214	C₂⁵	—	5	1	no	—
1215	C₂×#41	—	5	8	no	—
1216	C₂×#41	—	5	8	no	—
1217	C₂×#41	—	5	8	no	—
1218	C₂×#41	—	5	8	no	—
1219	C₂×#41	—	5	8	no	—
1220	C₂×#41	—	20	4	no	—
1221	C₂×#41	—	20	4	no	—
1222	C₂×#41	—	20	4	no	—
1223	C₂×#41	—	20	4	no	—
1224	C₂×#41	—	20	4	no	—
1225	C₂²×Q₈	—	5	1	no	—
1226	C₂²×Q₈	—	5	1	no	—
1227	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1228	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1229	C₂²×D₄	—	5	1	no	—
1230	C₂²×D₄	—	5	1	no	—
1231	C₂²×D₄	—	5	1	no	—
1232	C₂²×D₄	—	5	1	no	—
1233	C₂²×D₄	—	5	1	no	—
1234	C₂²×D₄	—	5	1	no	—
1235	C₂²×D₄	—	5	1	no	—
1236	C₂²×D₄	—	5	1	no	—
1237	C₂²×D₄	—	5	1	no	—
1238	C₂²×D₄	—	5	1	no	—
1239	C₂²×D₄	—	5	1	no	—
1240	C₂²×D₄	—	5	1	no	—
1241	C₂²×D₄	—	5	1	no	—
1242	C₂²×D₄	—	5	1	no	—
1243	C₂²×D₄	—	5	1	no	—
1244	C₂²×D₄	—	5	1	no	—
1245	C₂²×D₄	—	5	1	no	—
1246	C₂²×D₄	—	5	1	no	—
1247	C₂²×D₄	—	5	8	no	—
1248	C₂²×D₄	—	5	8	no	—
1249	C₂²×D₄	—	5	8	no	—
1250	C₂²×D₄	—	5	8	no	—
1251	C₂²×D₄	—	5	8	no	—
1252	C₂²×D₄	—	5	1	no	—
1253	C₂²×D₄	—	5	1	no	—
1254	C₂²×D₄	—	5	1	no	—
1255	C₂²×D₄	—	5	1	no	—
1256	C₂²×D₄	—	5	1	no	—
1257	C₂²×D₄	—	5	1	no	—
1258	C₂²×D₄	—	5	1	no	—
1259	C₂²×D₄	—	5	1	no	—
1260	C₂²×D₄	—	5	1	no	—
1261	C₂²×D₄	—	5	1	no	—
1262	C₂²×D₄	—	5	1	no	—
1263	C₂²×D₄	—	5	1	no	—
1264	C₂²×D₄	—	5	1	no	—
1265	C₂²×D₄	—	5	1	no	—
1266	C₂²×D₄	—	5	1	no	—
1267	C₂²×D₄	—	5	1	no	—
1268	C₂²×D₄	—	5	8	no	—
1269	C₂²×D₄	—	20	4	no	—
1270	C₂²×D₄	—	20	4	no	—
1271	C₂²×D₄	—	20	4	no	—
1272	C₂²×D₄	—	20	4	no	—
1273	C₂²×D₄	—	20	4	no	—
1274	C₂²×D₄	—	20	4	no	—
1275	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1276	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1277	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1278	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1279	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1280	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1281	C₂³×C₄	—	5	1	no	—
1282	C₂³×C₄	—	5	1	no	—
1283	C₂³×C₄	—	5	1	no	—
1284	C₂³×C₄	—	5	1	no	—
1285	C₂³×C₄	—	5	1	no	—
1286	C₂³×C₄	—	5	1	no	—
1287	C₂³×C₄	—	5	1	no	—
1288	C₂³×C₄	—	5	1	no	—
1289	C₂³×C₄	—	5	1	no	—
1290	C₂³×C₄	—	5	1	no	—
1291	C₂³×C₄	—	5	1	no	—
1292	C₂³×C₄	—	5	1	no	—
1293	C₂³×C₄	—	5	1	no	—
1294	C₂³×C₄	—	5	1	no	—
1295	C₂³×C₄	—	5	1	no	—
1296	C₂³×C₄	—	5	1	no	—
1297	C₂³×C₄	—	5	1	no	—
1298	C₂³×C₄	—	5	1	no	—
1299	C₂³×C₄	—	5	8	no	—
1300	C₂³×C₄	—	20	4	no	—
1301	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1302	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1303	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1304	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1305	C₄⋊Q₈	—	5	8	no	—
1306	#127	—	5	8	no	—
1307	#127	—	5	8	no	—
1308	#127	—	5	8	no	—
1309	#127	—	5	8	no	—
1310	#127	—	5	8	no	—
1311	#126	—	5	8	no	—
1312	#126	—	5	8	no	—
1313	#126	—	5	8	no	—
1314	#126	—	5	8	no	—
1315	#126	—	5	8	no	—
1316	#126	—	5	8	no	—
1317	#125	—	5	8	no	—
1318	#125	—	5	8	no	—
1319	#125	C₂²×D₅	1	8	yes	complemented
1320	#124	—	5	8	no	—
1321	#124	—	5	8	no	—
1322	#124	—	5	8	no	—
1323	#124	—	5	8	no	—
1324	#124	—	5	8	no	—
1325	#124	—	5	8	no	—
1326	#124	—	5	8	no	—
1327	#124	C₂²×D₅	1	8	yes	complemented
1328	#124	C₂²×D₅	1	8	yes	complemented
1329	#123	—	5	8	no	—
1330	#123	—	5	8	no	—
1331	#123	—	5	8	no	—
1332	#123	—	5	8	no	—
1333	#123	—	5	8	no	—
1334	#123	—	5	8	no	—
1335	#123	—	5	8	no	—
1336	#123	—	5	8	no	—
1337	#123	—	5	8	no	—
1338	#123	—	5	8	no	—
1339	#123	—	5	8	no	—
1340	#123	—	5	8	no	—
1341	#123	—	5	8	no	—
1342	#123	—	5	8	no	—
1343	#123	—	5	8	no	—
1344	#123	—	5	8	no	—
1345	#123	—	5	8	no	—
1346	#123	—	5	8	no	—
1347	#123	C₂²×D₅	1	8	yes	complemented
1348	#123	C₂²×D₅	1	8	yes	complemented
1349	#123	C₂²×D₅	1	8	yes	complemented
1350	#123	C₂²×D₅	1	8	yes	complemented
1351	C₂²⋊Q₈	—	5	8	no	—
1352	C₂²⋊Q₈	—	5	8	no	—
1353	C₂²⋊Q₈	—	5	8	no	—
1354	C₂²⋊Q₈	—	5	8	no	—
1355	C₂²⋊Q₈	—	5	8	no	—
1356	C₂²⋊Q₈	—	5	8	no	—
1357	C₂²⋊Q₈	—	5	8	no	—
1358	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1359	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1360	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1361	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1362	#121	—	5	8	no	—
1363	#121	—	5	8	no	—
1364	#121	—	5	8	no	—
1365	#121	—	5	8	no	—
1366	#121	—	5	8	no	—
1367	#121	—	5	8	no	—
1368	#121	—	5	8	no	—
1369	#121	—	5	8	no	—
1370	#121	—	5	8	no	—
1371	#121	—	5	8	no	—
1372	#121	—	5	8	no	—
1373	#121	—	5	8	no	—
1374	#121	—	5	8	no	—
1375	#121	—	5	8	no	—
1376	#121	—	5	8	no	—
1377	#121	—	5	8	no	—
1378	#121	—	5	8	no	—
1379	#121	—	5	8	no	—
1380	#121	—	5	8	no	—
1381	#121	—	5	8	no	—
1382	#121	—	5	8	no	—
1383	#121	—	5	8	no	—
1384	#121	—	5	8	no	—
1385	#121	—	5	8	no	—
1386	#121	—	5	8	no	—
1387	#121	—	5	8	no	—
1388	#121	—	5	8	no	—
1389	#121	—	5	8	no	—
1390	#121	—	5	8	no	—
1391	#121	—	5	8	no	—
1392	#121	—	5	8	no	—
1393	#121	—	5	8	no	—
1394	#121	—	5	8	no	—
1395	#121	—	5	8	no	—
1396	#121	—	5	8	no	—
1397	#121	C₂²×D₅	1	8	yes	complemented
1398	#121	C₂²×D₅	1	8	yes	complemented
1399	#121	C₂²×D₅	1	8	yes	complemented
1400	#121	C₂²×D₅	1	8	yes	complemented
1401	#120	—	5	8	no	—
1402	#120	—	5	8	no	—
1403	#120	—	5	8	no	—
1404	#120	—	5	8	no	—
1405	#120	—	5	8	no	—
1406	#120	—	5	8	no	—
1407	#120	—	5	8	no	—
1408	#120	—	5	8	no	—
1409	#120	—	5	8	no	—
1410	#120	—	5	8	no	—
1411	#120	—	5	8	no	—
1412	#120	—	5	8	no	—
1413	#120	—	5	8	no	—
1414	#120	—	5	8	no	—
1415	#120	—	5	8	no	—
1416	#120	—	5	8	no	—
1417	C₄×Q₈	—	5	8	no	—
1418	C₄×D₄	—	5	8	no	—
1419	C₄×D₄	—	5	8	no	—
1420	C₄×D₄	—	5	8	no	—
1421	C₄×D₄	—	5	8	no	—
1422	C₄×D₄	—	5	8	no	—
1423	C₄×D₄	—	5	8	no	—
1424	C₄×D₄	—	5	8	no	—
1425	C₄×D₄	—	5	8	no	—
1426	C₄×D₄	—	5	8	no	—
1427	C₄×D₄	—	5	8	no	—
1428	C₄×D₄	—	5	8	no	—
1429	C₄×D₄	—	5	8	no	—
1430	C₄×D₄	—	5	8	no	—
1431	C₄×D₄	—	5	8	no	—
1432	C₄×D₄	—	5	8	no	—
1433	#117	—	5	8	no	—
1434	#117	—	5	8	no	—
1435	#117	—	5	8	no	—
1436	#117	—	5	8	no	—
1437	#117	—	5	8	no	—
1438	#117	—	5	8	no	—
1439	#117	—	5	8	no	—
1440	C₂×C₄⋊C₄	—	5	1	no	—
1441	C₂×C₄⋊C₄	—	5	1	no	—
1442	C₂×C₄⋊C₄	—	5	1	no	—
1443	C₂×C₄⋊C₄	—	5	1	no	—
1444	C₂×C₄⋊C₄	—	5	1	no	—
1445	C₂×C₄⋊C₄	—	5	1	no	—
1446	C₂×C₄⋊C₄	—	5	1	no	—
1447	C₂×C₄⋊C₄	—	5	1	no	—
1448	C₂×C₄⋊C₄	—	5	1	no	—
1449	C₂×C₄⋊C₄	—	5	1	no	—
1450	C₂×C₄⋊C₄	—	5	1	no	—
1451	C₂×C₄⋊C₄	—	5	1	no	—
1452	C₂×C₄⋊C₄	—	5	1	no	—
1453	C₂×C₄⋊C₄	—	5	1	no	—
1454	C₂×C₄⋊C₄	—	5	1	no	—
1455	C₂×C₄⋊C₄	—	5	1	no	—
1456	C₂×C₄⋊C₄	—	5	1	no	—
1457	C₂×C₄⋊C₄	—	5	1	no	—
1458	C₂×C₄⋊C₄	—	5	8	no	—
1459	C₂×C₄⋊C₄	—	5	8	no	—
1460	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1461	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1462	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1463	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1464	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1465	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1466	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1467	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1468	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1469	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1470	C₂×C₂²⋊C₄	—	5	1	no	—
1471	C₂×C₂²⋊C₄	—	5	1	no	—
1472	C₂×C₂²⋊C₄	—	5	1	no	—
1473	C₂×C₂²⋊C₄	—	5	1	no	—
1474	C₂×C₂²⋊C₄	—	5	1	no	—
1475	C₂×C₂²⋊C₄	—	5	1	no	—
1476	C₂×C₂²⋊C₄	—	5	1	no	—
1477	C₂×C₂²⋊C₄	—	5	1	no	—
1478	C₂×C₂²⋊C₄	—	5	1	no	—
1479	C₂×C₂²⋊C₄	—	5	1	no	—
1480	C₂×C₂²⋊C₄	—	5	1	no	—
1481	C₂×C₂²⋊C₄	—	5	1	no	—
1482	C₂×C₂²⋊C₄	—	5	1	no	—
1483	C₂×C₂²⋊C₄	—	5	1	no	—
1484	C₂×C₂²⋊C₄	—	5	1	no	—
1485	C₂×C₂²⋊C₄	—	5	1	no	—
1486	C₂×C₂²⋊C₄	—	5	1	no	—
1487	C₂×C₂²⋊C₄	—	5	1	no	—
1488	C₂×C₂²⋊C₄	—	5	1	no	—
1489	C₂×C₂²⋊C₄	—	5	8	no	—
1490	C₂×C₂²⋊C₄	—	5	8	no	—
1491	C₂×C₂²⋊C₄	—	5	1	no	—
1492	C₂×C₂²⋊C₄	—	5	1	no	—
1493	C₂×C₂²⋊C₄	—	5	1	no	—
1494	C₂×C₂²⋊C₄	—	5	1	no	—
1495	C₂×C₂²⋊C₄	—	5	1	no	—
1496	C₂×C₂²⋊C₄	—	5	1	no	—
1497	C₂×C₂²⋊C₄	—	5	1	no	—
1498	C₂×C₂²⋊C₄	—	5	1	no	—
1499	C₂×C₂²⋊C₄	—	5	1	no	—
1500	C₂×C₂²⋊C₄	—	5	1	no	—
1501	C₂×C₂²⋊C₄	—	5	1	no	—
1502	C₂×C₂²⋊C₄	—	5	1	no	—
1503	C₂×C₂²⋊C₄	—	5	1	no	—
1504	C₂×C₂²⋊C₄	—	5	1	no	—
1505	C₂×C₂²⋊C₄	—	5	1	no	—
1506	C₂×C₂²⋊C₄	—	5	1	no	—
1507	C₂×C₂²⋊C₄	—	5	1	no	—
1508	C₂×C₂²⋊C₄	—	5	8	no	—
1509	C₂×C₂²⋊C₄	—	5	8	no	—
1510	C₂×C₂²⋊C₄	—	5	8	no	—
1511	C₂×C₂²⋊C₄	—	5	8	no	—
1512	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1513	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1514	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1515	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1516	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1517	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1518	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1519	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1520	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1521	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1522	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1523	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1524	C₂×C₄²	—	5	1	no	—
1525	C₂×C₄²	—	5	1	no	—
1526	C₂×C₄²	—	5	1	no	—
1527	C₂×C₄²	—	5	1	no	—
1528	C₂×C₄²	—	5	1	no	—
1529	C₂×C₄²	—	5	1	no	—
1530	C₂×C₄²	—	5	1	no	—
1531	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1532	C₂²×C₅	—	2	2	no	—
1533	C₂²×C₅	—	2	2	no	—
1534	C₂²×C₅	—	2	2	no	—
1535	C₂²×C₅	—	2	2	no	—
1536	C₂²×C₅	—	2	2	no	—
1537	C₂²×C₅	—	2	2	no	—
1538	C₂²×C₅	—	2	2	no	—
1539	C₂²×C₅	—	2	2	no	—
1540	C₂²×C₅	—	2	2	no	—
1541	C₂²×C₅	—	2	2	no	—
1542	C₂²×C₅	—	2	2	no	—
1543	C₂²×C₅	—	2	2	no	—
1544	C₂²×C₅	—	4	4	no	—
1545	C₂²×C₅	—	4	4	no	—
1546	C₂²×C₅	—	4	4	no	—
1547	C₂²×C₅	—	4	4	no	—
1548	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1549	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1550	C₂²×C₅	#585	1	2	yes	—
1551	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1552	C₂×D₅	—	2	2	no	—
1553	C₂×D₅	—	2	2	no	—
1554	C₂×D₅	—	2	8	no	—
1555	C₂×D₅	—	2	2	no	—
1556	C₂×D₅	—	2	2	no	—
1557	C₂×D₅	—	2	2	no	—
1558	C₂×D₅	—	2	2	no	—
1559	C₂×D₅	—	2	2	no	—
1560	C₂×D₅	—	2	2	no	—
1561	C₂×D₅	—	2	2	no	—
1562	C₂×D₅	—	2	2	no	—
1563	C₂×D₅	—	2	2	no	—
1564	C₂×D₅	—	2	2	no	—
1565	C₂×D₅	—	2	2	no	—
1566	C₂×D₅	—	2	2	no	—
1567	C₂×D₅	—	2	2	no	—
1568	C₂×D₅	—	2	2	no	—
1569	C₂×D₅	—	2	2	no	—
1570	C₂×D₅	—	2	2	no	—
1571	C₂×D₅	—	2	2	no	—
1572	C₂×D₅	—	2	2	no	—
1573	C₂×D₅	—	4	16	no	—
1574	C₂×D₅	—	4	4	no	—
1575	C₂×D₅	—	4	4	no	—
1576	C₂×D₅	—	4	4	no	—
1577	C₂×D₅	—	4	4	no	—
1578	C₂×D₅	—	4	4	no	—
1579	C₂×D₅	—	4	4	no	—
1580	C₂×D₅	—	8	8	no	—
1581	C₂×D₅	—	8	8	no	—
1582	C₂×D₅	—	8	8	no	—
1583	C₂×D₅	—	8	8	no	—
1584	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1585	C₄×C₅	—	2	2	no	—
1586	C₄×C₅	—	2	2	no	—
1587	C₄×C₅	—	2	2	no	—
1588	C₄×C₅	—	2	2	no	—
1589	C₄×C₅	—	2	2	no	—
1590	C₄×C₅	—	2	2	no	—
1591	C₄×C₅	—	2	2	no	—
1592	C₄×C₅	—	2	2	no	—
1593	C₄×C₅	—	2	2	no	—
1594	C₄×C₅	—	2	2	no	—
1595	C₄×C₅	—	2	2	no	—
1596	Dic₅	—	2	2	no	—
1597	Dic₅	—	2	2	no	—
1598	Dic₅	—	2	2	no	—
1599	Dic₅	—	2	2	no	—
1600	Dic₅	—	2	2	no	—
1601	Dic₅	—	2	2	no	—
1602	Dic₅	—	2	2	no	—
1603	Dic₅	—	2	2	no	—
1604	Dic₅	C₂×H(5,𝔽₂)	1	4	yes	—
1605	C₂⁴	—	5	1	no	—
1606	C₂⁴	—	5	1	no	—
1607	C₂⁴	—	5	1	no	—
1608	C₂⁴	—	5	1	no	—
1609	C₂⁴	—	5	1	no	—
1610	C₂⁴	—	5	1	no	—
1611	C₂⁴	—	5	1	no	—
1612	C₂⁴	—	5	4	no	—
1613	C₂⁴	—	5	4	no	—
1614	C₂⁴	—	5	4	no	—
1615	C₂⁴	—	5	4	no	—
1616	C₂⁴	—	5	4	no	—
1617	C₂⁴	—	10	4	no	—
1618	C₂⁴	—	10	4	no	—
1619	C₂⁴	—	10	4	no	—
1620	C₂⁴	—	20	2	no	—
1621	C₂⁴	—	20	2	no	—
1622	C₂⁴	—	20	2	no	—
1623	C₂⁴	—	20	2	no	—
1624	C₂⁴	—	20	2	no	—
1625	C₂⁴	—	20	2	no	—
1626	C₂⁴	—	20	2	no	—
1627	C₂⁴	—	20	2	no	—
1628	C₂⁴	—	20	2	no	—
1629	C₂⁴	—	20	2	no	—
1630	C₂⁴	—	20	2	no	—
1631	C₂⁴	—	20	2	no	—
1632	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1633	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1634	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1635	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1636	#41	—	20	16	no	—
1637	#41	—	20	16	no	—
1638	#41	—	20	16	no	—
1639	#41	—	20	16	no	—
1640	#41	—	20	16	no	—
1641	C₂×Q₈	—	4	2	no	—
1642	C₂×Q₈	—	4	2	no	—
1643	C₂×Q₈	—	5	4	no	—
1644	C₂×Q₈	—	5	4	no	—
1645	C₂×Q₈	—	10	4	no	—
1646	C₂×Q₈	—	20	2	no	—
1647	C₂×Q₈	C₂³×D₅	1	4	yes	—
1648	C₂×Q₈	C₂³×D₅	1	4	yes	—
1649	C₂×D₄	—	4	2	no	—
1650	C₂×D₄	—	4	2	no	—
1651	C₂×D₄	—	4	2	no	—
1652	C₂×D₄	—	4	2	no	—
1653	C₂×D₄	—	4	2	no	—
1654	C₂×D₄	—	4	2	no	—
1655	C₂×D₄	—	5	4	no	—
1656	C₂×D₄	—	5	4	no	—
1657	C₂×D₄	—	5	4	no	—
1658	C₂×D₄	—	5	4	no	—
1659	C₂×D₄	—	5	4	no	—
1660	C₂×D₄	—	5	4	no	—
1661	C₂×D₄	—	5	4	no	—
1662	C₂×D₄	—	5	4	no	—
1663	C₂×D₄	—	5	4	no	—
1664	C₂×D₄	—	5	4	no	—
1665	C₂×D₄	—	5	4	no	—
1666	C₂×D₄	—	5	4	no	—
1667	C₂×D₄	—	5	4	no	—
1668	C₂×D₄	—	5	4	no	—
1669	C₂×D₄	—	5	4	no	—
1670	C₂×D₄	—	5	4	no	—
1671	C₂×D₄	—	5	4	no	—
1672	C₂×D₄	—	5	4	no	—
1673	C₂×D₄	—	5	4	no	—
1674	C₂×D₄	—	5	4	no	—
1675	C₂×D₄	—	5	4	no	—
1676	C₂×D₄	—	5	4	no	—
1677	C₂×D₄	—	5	4	no	—
1678	C₂×D₄	—	5	4	no	—
1679	C₂×D₄	—	5	4	no	—
1680	C₂×D₄	—	5	4	no	—
1681	C₂×D₄	—	5	4	no	—
1682	C₂×D₄	—	5	4	no	—
1683	C₂×D₄	—	5	4	no	—
1684	C₂×D₄	—	5	4	no	—
1685	C₂×D₄	—	5	4	no	—
1686	C₂×D₄	—	5	4	no	—
1687	C₂×D₄	—	5	4	no	—
1688	C₂×D₄	—	5	4	no	—
1689	C₂×D₄	—	10	4	no	—
1690	C₂×D₄	—	10	4	no	—
1691	C₂×D₄	—	10	4	no	—
1692	C₂×D₄	—	10	4	no	—
1693	C₂×D₄	—	10	4	no	—
1694	C₂×D₄	—	10	4	no	—
1695	C₂×D₄	—	10	4	no	—
1696	C₂×D₄	—	20	2	no	—
1697	C₂×D₄	—	20	2	no	—
1698	C₂×D₄	—	20	2	no	—
1699	C₂×D₄	—	20	2	no	—
1700	C₂×D₄	—	20	2	no	—
1701	C₂×D₄	—	20	2	no	—
1702	C₂×D₄	—	20	2	no	—
1703	C₂×D₄	—	20	2	no	—
1704	C₂×D₄	—	20	2	no	—
1705	C₂×D₄	—	20	2	no	—
1706	C₂×D₄	—	20	2	no	—
1707	C₂×D₄	—	20	2	no	—
1708	C₂×D₄	—	20	2	no	—
1709	C₂×D₄	—	20	16	no	—
1710	C₂×D₄	—	20	16	no	—
1711	C₂×D₄	—	20	16	no	—
1712	C₂×D₄	—	20	16	no	—
1713	C₂×D₄	—	20	16	no	—
1714	C₂×D₄	—	20	2	no	—
1715	C₂×D₄	—	20	2	no	—
1716	C₂×D₄	—	20	2	no	—
1717	C₂×D₄	—	20	2	no	—
1718	C₂×D₄	—	20	2	no	—
1719	C₂×D₄	—	20	2	no	—
1720	C₂×D₄	—	20	2	no	—
1721	C₂×D₄	—	20	2	no	—
1722	C₂×D₄	—	20	2	no	—
1723	C₂×D₄	—	20	2	no	—
1724	C₂×D₄	—	20	2	no	—
1725	C₂×D₄	—	20	2	no	—
1726	C₂×D₄	—	20	2	no	—
1727	C₂×D₄	—	20	2	no	—
1728	C₂×D₄	—	20	16	no	—
1729	C₂×D₄	C₂³×D₅	1	4	yes	—
1730	C₂×D₄	C₂³×D₅	1	4	yes	—
1731	C₂×D₄	C₂³×D₅	1	4	yes	—
1732	C₂×D₄	C₂³×D₅	1	4	yes	—
1733	C₂×D₄	C₂³×D₅	1	4	yes	—
1734	C₂×D₄	C₂³×D₅	1	4	yes	—
1735	C₂²×C₄	—	4	2	no	—
1736	C₂²×C₄	—	4	2	no	—
1737	C₂²×C₄	—	4	2	no	—
1738	C₂²×C₄	—	4	2	no	—
1739	C₂²×C₄	—	5	1	no	—
1740	C₂²×C₄	—	5	4	no	—
1741	C₂²×C₄	—	5	1	no	—
1742	C₂²×C₄	—	5	1	no	—
1743	C₂²×C₄	—	5	1	no	—
1744	C₂²×C₄	—	5	1	no	—
1745	C₂²×C₄	—	5	1	no	—
1746	C₂²×C₄	—	5	1	no	—
1747	C₂²×C₄	—	5	1	no	—
1748	C₂²×C₄	—	5	1	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	—	10	4	no	—
1767	C₂²×C₄	—	10	4	no	—
1768	C₂²×C₄	—	10	4	no	—
1769	C₂²×C₄	—	10	4	no	—
1770	C₂²×C₄	—	10	4	no	—
1771	C₂²×C₄	—	10	4	no	—
1772	C₂²×C₄	—	10	4	no	—
1773	C₂²×C₄	—	20	2	no	—
1774	C₂²×C₄	—	20	2	no	—
1775	C₂²×C₄	—	20	2	no	—
1776	C₂²×C₄	—	20	2	no	—
1777	C₂²×C₄	—	20	2	no	—
1778	C₂²×C₄	—	20	2	no	—
1779	C₂²×C₄	—	20	2	no	—
1780	C₂²×C₄	—	20	2	no	—
1781	C₂²×C₄	—	20	2	no	—
1782	C₂²×C₄	—	20	16	no	—
1783	C₂²×C₄	—	20	2	no	—
1784	C₂²×C₄	—	20	2	no	—
1785	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1786	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1787	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1788	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1789	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1790	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1791	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1792	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1793	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1794	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1795	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
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	C₄⋊C₄	—	5	4	no	—
1801	C₄⋊C₄	—	5	4	no	—
1802	C₄⋊C₄	—	5	4	no	—
1803	C₄⋊C₄	—	5	4	no	—
1804	C₄⋊C₄	—	5	4	no	—
1805	C₄⋊C₄	—	5	4	no	—
1806	C₄⋊C₄	—	5	4	no	—
1807	C₄⋊C₄	—	5	4	no	—
1808	C₄⋊C₄	—	5	4	no	—
1809	C₄⋊C₄	—	5	4	no	—
1810	C₄⋊C₄	—	5	4	no	—
1811	C₄⋊C₄	—	5	4	no	—
1812	C₄⋊C₄	—	5	4	no	—
1813	C₄⋊C₄	—	5	4	no	—
1814	C₄⋊C₄	—	5	4	no	—
1815	C₄⋊C₄	—	5	4	no	—
1816	C₄⋊C₄	—	5	4	no	—
1817	C₄⋊C₄	—	5	4	no	—
1818	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1819	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1820	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1821	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1822	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1823	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1824	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1825	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1826	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1827	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1828	C₂²⋊C₄	—	5	4	no	—
1829	C₂²⋊C₄	—	5	4	no	—
1830	C₂²⋊C₄	—	5	4	no	—
1831	C₂²⋊C₄	—	5	4	no	—
1832	C₂²⋊C₄	—	5	4	no	—
1833	C₂²⋊C₄	—	5	4	no	—
1834	C₂²⋊C₄	—	5	4	no	—
1835	C₂²⋊C₄	—	5	4	no	—
1836	C₂²⋊C₄	—	5	4	no	—
1837	C₂²⋊C₄	—	5	4	no	—
1838	C₂²⋊C₄	—	5	4	no	—
1839	C₂²⋊C₄	—	5	4	no	—
1840	C₂²⋊C₄	—	5	4	no	—
1841	C₂²⋊C₄	—	5	4	no	—
1842	C₂²⋊C₄	—	5	4	no	—
1843	C₂²⋊C₄	—	5	4	no	—
1844	C₂²⋊C₄	—	5	4	no	—
1845	C₂²⋊C₄	—	5	4	no	—
1846	C₂²⋊C₄	—	5	4	no	—
1847	C₂²⋊C₄	—	5	4	no	—
1848	C₂²⋊C₄	—	5	4	no	—
1849	C₂²⋊C₄	—	5	4	no	—
1850	C₂²⋊C₄	—	5	4	no	—
1851	C₂²⋊C₄	—	5	4	no	—
1852	C₂²⋊C₄	—	5	4	no	—
1853	C₂²⋊C₄	—	5	4	no	—
1854	C₂²⋊C₄	—	5	4	no	—
1855	C₂²⋊C₄	—	5	4	no	—
1856	C₂²⋊C₄	—	5	4	no	—
1857	C₂²⋊C₄	—	5	4	no	—
1858	C₂²⋊C₄	—	5	4	no	—
1859	C₂²⋊C₄	—	5	4	no	—
1860	C₂²⋊C₄	—	5	4	no	—
1861	C₂²⋊C₄	—	5	4	no	—
1862	C₂²⋊C₄	—	5	4	no	—
1863	C₂²⋊C₄	—	5	4	no	—
1864	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1865	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1866	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1867	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1868	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1869	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1870	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1871	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1872	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1873	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1874	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1875	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1876	C₄²	—	5	4	no	—
1877	C₄²	—	5	4	no	—
1878	C₄²	—	5	4	no	—
1879	C₄²	—	5	4	no	—
1880	C₄²	—	5	4	no	—
1881	C₄²	—	5	4	no	—
1882	C₄²	—	5	4	no	—
1883	C₄²	C₂³×D₅	1	4	yes	—
1884	C₂×C₅	—	4	2	no	—
1885	C₂×C₅	—	4	2	no	—
1886	C₂×C₅	—	4	2	no	—
1887	C₂×C₅	—	4	2	no	—
1888	C₂×C₅	#3542	1	4	yes	complemented
1889	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1890	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1891	C₂×C₅	C₂×#585	1	1	yes	characteristic
1892	D₅	—	2	4	no	—
1893	D₅	—	4	2	no	—
1894	D₅	—	4	2	no	—
1895	D₅	—	4	2	no	—
1896	D₅	—	4	2	no	—
1897	D₅	—	4	2	no	—
1898	D₅	—	4	2	no	—
1899	C₂³	—	2	2	no	—
1900	C₂³	—	2	2	no	—
1901	C₂³	—	2	2	no	—
1902	C₂³	—	2	2	no	—
1903	C₂³	—	2	2	no	—
1904	C₂³	—	2	2	no	—
1905	C₂³	—	2	2	no	—
1906	C₂³	—	2	2	no	—
1907	C₂³	—	2	2	no	—
1908	C₂³	—	2	2	no	—
1909	C₂³	—	2	2	no	—
1910	C₂³	—	2	2	no	—
1911	C₂³	—	5	4	no	—
1912	C₂³	—	5	2	no	—
1913	C₂³	—	5	2	no	—
1914	C₂³	—	5	2	no	—
1915	C₂³	—	5	2	no	—
1916	C₂³	—	5	2	no	—
1917	C₂³	—	5	2	no	—
1918	C₂³	—	5	2	no	—
1919	C₂³	—	10	8	no	—
1920	C₂³	—	10	8	no	—
1921	C₂³	—	10	8	no	—
1922	C₂³	—	10	2	no	—
1923	C₂³	—	10	2	no	—
1924	C₂³	—	10	2	no	—
1925	C₂³	—	10	2	no	—
1926	C₂³	—	10	2	no	—
1927	C₂³	—	10	2	no	—
1928	C₂³	—	10	2	no	—
1929	C₂³	—	10	2	no	—
1930	C₂³	—	10	2	no	—
1931	C₂³	—	10	2	no	—
1932	C₂³	—	10	2	no	—
1933	C₂³	—	10	2	no	—
1934	C₂³	—	10	2	no	—
1935	C₂³	—	10	2	no	—
1936	C₂³	—	10	2	no	—
1937	C₂³	—	10	2	no	—
1938	C₂³	—	10	2	no	—
1939	C₂³	—	10	2	no	—
1940	C₂³	—	10	2	no	—
1941	C₂³	—	10	2	no	—
1942	C₂³	—	20	4	no	—
1943	C₂³	—	20	4	no	—
1944	C₂³	—	20	4	no	—
1945	C₂³	—	20	4	no	—
1946	C₂³	—	20	4	no	—
1947	C₂³	—	20	4	no	—
1948	C₂³	—	20	4	no	—
1949	C₂³	—	20	4	no	—
1950	C₂³	—	20	4	no	—
1951	C₂³	—	20	4	no	—
1952	C₂³	—	20	4	no	—
1953	C₂³	—	20	4	no	—
1954	C₂³	—	20	16	no	—
1955	C₂³	—	40	8	no	—
1956	C₂³	—	40	8	no	—
1957	C₂³	—	40	8	no	—
1958	C₂³	—	40	8	no	—
1959	C₂³	C₂⁴×D₅	1	2	yes	—
1960	C₂³	C₂⁴×D₅	1	2	yes	—
1961	C₂³	C₂⁴×D₅	1	2	yes	—
1962	C₂³	C₂⁴×D₅	1	2	yes	—
1963	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1964	Q₈	—	4	4	no	—
1965	Q₈	—	4	4	no	—
1966	Q₈	—	10	8	no	—
1967	Q₈	—	20	4	no	—
1968	D₄	—	4	4	no	—
1969	D₄	—	4	4	no	—
1970	D₄	—	4	4	no	—
1971	D₄	—	4	4	no	—
1972	D₄	—	4	4	no	—
1973	D₄	—	4	4	no	—
1974	D₄	—	10	8	no	—
1975	D₄	—	10	8	no	—
1976	D₄	—	10	8	no	—
1977	D₄	—	10	8	no	—
1978	D₄	—	10	8	no	—
1979	D₄	—	10	8	no	—
1980	D₄	—	10	8	no	—
1981	D₄	—	20	4	no	—
1982	D₄	—	20	4	no	—
1983	D₄	—	20	4	no	—
1984	D₄	—	20	4	no	—
1985	D₄	—	20	4	no	—
1986	D₄	—	20	4	no	—
1987	D₄	—	20	4	no	—
1988	D₄	—	20	4	no	—
1989	D₄	—	20	4	no	—
1990	D₄	—	20	4	no	—
1991	D₄	—	20	4	no	—
1992	D₄	—	20	4	no	—
1993	D₄	—	20	4	no	—
1994	D₄	—	20	4	no	—
1995	D₄	—	20	4	no	—
1996	D₄	—	20	4	no	—
1997	D₄	—	20	4	no	—
1998	D₄	—	20	4	no	—
1999	D₄	—	20	4	no	—
2000	D₄	—	20	4	no	—
2001	D₄	—	20	4	no	—
2002	D₄	—	20	4	no	—
2003	D₄	—	20	4	no	—
2004	D₄	—	20	4	no	—
2005	D₄	—	20	4	no	—
2006	D₄	—	20	4	no	—
2007	D₄	—	20	4	no	—
2008	C₂×C₄	—	2	2	no	—
2009	C₂×C₄	—	2	2	no	—
2010	C₂×C₄	—	2	2	no	—
2011	C₂×C₄	—	2	2	no	—
2012	C₂×C₄	—	2	2	no	—
2013	C₂×C₄	—	2	2	no	—
2014	C₂×C₄	—	2	2	no	—
2015	C₂×C₄	—	2	2	no	—
2016	C₂×C₄	—	2	2	no	—
2017	C₂×C₄	—	2	2	no	—
2018	C₂×C₄	—	2	2	no	—
2019	C₂×C₄	—	4	4	no	—
2020	C₂×C₄	—	4	4	no	—
2021	C₂×C₄	—	4	4	no	—
2022	C₂×C₄	—	4	4	no	—
2023	C₂×C₄	—	5	4	no	—
2024	C₂×C₄	—	5	2	no	—
2025	C₂×C₄	—	5	2	no	—
2026	C₂×C₄	—	5	2	no	—
2027	C₂×C₄	—	5	2	no	—
2028	C₂×C₄	—	5	2	no	—
2029	C₂×C₄	—	5	2	no	—
2030	C₂×C₄	—	5	2	no	—
2031	C₂×C₄	—	5	2	no	—
2032	C₂×C₄	—	5	2	no	—
2033	C₂×C₄	—	10	8	no	—
2034	C₂×C₄	—	10	8	no	—
2035	C₂×C₄	—	10	8	no	—
2036	C₂×C₄	—	10	8	no	—
2037	C₂×C₄	—	10	8	no	—
2038	C₂×C₄	—	10	8	no	—
2039	C₂×C₄	—	10	8	no	—
2040	C₂×C₄	—	10	2	no	—
2041	C₂×C₄	—	10	2	no	—
2042	C₂×C₄	—	10	2	no	—
2043	C₂×C₄	—	10	2	no	—
2044	C₂×C₄	—	10	2	no	—
2045	C₂×C₄	—	10	2	no	—
2046	C₂×C₄	—	10	2	no	—
2047	C₂×C₄	—	10	2	no	—
2048	C₂×C₄	—	20	4	no	—
2049	C₂×C₄	—	20	4	no	—
2050	C₂×C₄	—	20	4	no	—
2051	C₂×C₄	—	20	4	no	—
2052	C₂×C₄	—	20	4	no	—
2053	C₂×C₄	—	20	4	no	—
2054	C₂×C₄	—	20	4	no	—
2055	C₂×C₄	—	20	4	no	—
2056	C₂×C₄	—	20	4	no	—
2057	C₂×C₄	—	20	4	no	—
2058	C₂×C₄	—	20	4	no	—
2059	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2060	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2061	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2062	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2063	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2064	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2065	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2066	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2067	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2068	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2069	C₂×C₄	C₂⁴×D₅	1	2	yes	—
2070	C₅	C₂×#3542	1	1	yes	characteristic, complemented, Sylow
2071	C₂²	—	2	2	no	—
2072	C₂²	—	2	2	no	—
2073	C₂²	—	2	2	no	—
2074	C₂²	—	2	2	no	—
2075	C₂²	—	2	2	no	—
2076	C₂²	—	2	2	no	—
2077	C₂²	—	2	2	no	—
2078	C₂²	—	2	2	no	—
2079	C₂²	—	2	2	no	—
2080	C₂²	—	2	2	no	—
2081	C₂²	—	2	2	no	—
2082	C₂²	—	2	2	no	—
2083	C₂²	—	4	4	no	—
2084	C₂²	—	4	4	no	—
2085	C₂²	—	4	4	no	—
2086	C₂²	—	4	4	no	—
2087	C₂²	—	5	4	no	—
2088	C₂²	—	10	2	no	—
2089	C₂²	—	10	2	no	—
2090	C₂²	—	10	8	no	—
2091	C₂²	—	10	2	no	—
2092	C₂²	—	10	2	no	—
2093	C₂²	—	10	2	no	—
2094	C₂²	—	10	2	no	—
2095	C₂²	—	10	2	no	—
2096	C₂²	—	10	2	no	—
2097	C₂²	—	10	2	no	—
2098	C₂²	—	10	2	no	—
2099	C₂²	—	10	2	no	—
2100	C₂²	—	10	2	no	—
2101	C₂²	—	10	2	no	—
2102	C₂²	—	10	2	no	—
2103	C₂²	—	10	2	no	—
2104	C₂²	—	10	2	no	—
2105	C₂²	—	10	2	no	—
2106	C₂²	—	10	2	no	—
2107	C₂²	—	10	2	no	—
2108	C₂²	—	10	2	no	—
2109	C₂²	—	20	16	no	—
2110	C₂²	—	20	4	no	—
2111	C₂²	—	20	4	no	—
2112	C₂²	—	20	4	no	—
2113	C₂²	—	20	4	no	—
2114	C₂²	—	20	4	no	—
2115	C₂²	—	20	4	no	—
2116	C₂²	—	40	8	no	—
2117	C₂²	—	40	8	no	—
2118	C₂²	—	40	8	no	—
2119	C₂²	—	40	8	no	—
2120	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
2121	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
2122	C₂²	#66287	1	2	yes	—
2123	C₂²	C₂⁵×D₅	1	1	yes	characteristic
2124	C₄	—	2	2	no	—
2125	C₄	—	2	2	no	—
2126	C₄	—	2	2	no	—
2127	C₄	—	2	2	no	—
2128	C₄	—	2	2	no	—
2129	C₄	—	2	2	no	—
2130	C₄	—	2	2	no	—
2131	C₄	—	2	2	no	—
2132	C₄	—	2	2	no	—
2133	C₄	—	2	2	no	—
2134	C₄	—	2	2	no	—
2135	C₄	—	5	4	no	—
2136	C₄	—	10	2	no	—
2137	C₄	—	10	2	no	—
2138	C₄	—	10	2	no	—
2139	C₄	—	10	2	no	—
2140	C₄	—	10	2	no	—
2141	C₄	—	10	2	no	—
2142	C₄	—	10	2	no	—
2143	C₄	—	10	2	no	—
2144	C₂	—	4	2	no	—
2145	C₂	—	4	2	no	—
2146	C₂	—	4	2	no	—
2147	C₂	—	4	2	no	—
2148	C₂	—	10	4	no	—
2149	C₂	—	20	2	no	—
2150	C₂	—	20	2	no	—
2151	C₂	—	20	2	no	—
2152	C₂	—	20	2	no	—
2153	C₂	—	20	2	no	—
2154	C₂	—	20	2	no	—
2155	C₂	#10618998	1	4	yes	direct product factor
2156	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
2157	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
2158	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×#562	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#562	D₅
hypocenter	C₅	C₂×#3542
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#562

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#562	C₂	semidirect
2. #10618998	C₂	direct (N × H)
3. C₂×#66027	C₂	semidirect
4. C₂×#66032	C₂	semidirect
5. C₂×#66013	C₂	semidirect
6. C₂×#66008	C₂	semidirect
7. C₂×#66008	C₂	semidirect
8. C₂×#66004	C₂	semidirect
9. C₂×#66000	C₂	semidirect
10. C₂×#65988	C₂	semidirect
11. C₂×#65988	C₂	semidirect
12. C₂×#65991	C₂	semidirect
13. C₂×#65987	C₂	semidirect
14. C₂×#65995	C₂	semidirect
15. C₂×#65997	C₂	semidirect
16. C₂×#65990	C₂	semidirect
17. C₂×#65981	C₂	semidirect
18. C₂×#65971	C₂	semidirect
19. C₂×#65965	C₂	semidirect
20. C₂×#65964	C₂	semidirect
21. C₂×#65978	C₂	semidirect
22. C₂×#65963	C₂	semidirect
23. C₂×#65974	C₂	semidirect
24. C₂×#65961	C₂	semidirect
25. C₂×#65954	C₂	semidirect
26. C₂×#65944	C₂	semidirect
27. C₂×#65943	C₂	semidirect
28. C₂×#65941	C₂	semidirect
29. C₂×#65939	C₂	semidirect
30. C₂×D₅×#121	C₂	semidirect
31. C₂×#65933	C₂	semidirect
32. C₂×#65949	C₂	semidirect
33. C₂²×#713	C₂²	semidirect
34. C₂²×#713	C₂²	semidirect
35. C₂²×#711	C₂²	semidirect
38. C₂²×D₄×D₅	C₂²	semidirect
39. C₂²×D₄×D₅	C₂²	semidirect
40. C₂²×D₄×D₅	C₂²	semidirect
41. C₂²×#709	C₂²	semidirect
42. C₂²×#709	C₂²	semidirect
44. C₂³×C₄×D₅	C₂²	semidirect
45. C₅×#562	C₂²	semidirect
46. C₂×C₅×#125	C₂²	semidirect
47. C₂×C₅×#124	C₂²	semidirect
48. C₂×C₅×#124	C₂²	semidirect
49. C₂×C₅×#123	C₂²	semidirect
50. C₂×C₅×#123	C₂²	semidirect
51. C₂×C₅×#123	C₂²	semidirect
52. C₂×C₅×#123	C₂²	semidirect
53. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
54. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
55. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
56. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
57. C₂×C₅×#121	C₂²	semidirect
58. C₂×C₅×#121	C₂²	semidirect
59. C₂×C₅×#121	C₂²	semidirect
60. C₂×C₅×#121	C₂²	semidirect
61. C₂×#4093	C₂²	semidirect
62. C₂×#4093	C₂²	semidirect
63. C₂×#4093	C₂²	semidirect
64. C₂×#4092	C₂²	semidirect
65. C₂×#4092	C₂²	semidirect
66. C₂×#4090	C₂²	semidirect
67. C₂×#4086	C₂²	semidirect
68. C₂×#4086	C₂²	semidirect
69. C₂×#4086	C₂²	semidirect
70. C₂×#4086	C₂²	semidirect
72. C₂×#4085	C₂²	semidirect
73. C₂×#4085	C₂²	semidirect
74. C₂×#4085	C₂²	semidirect
75. C₂×#4085	C₂²	semidirect
76. C₂×#4085	C₂²	semidirect
77. C₂×#4084	C₂²	semidirect
78. C₂×#4084	C₂²	semidirect
80. C₂×#4083	C₂²	semidirect
81. C₂×#4083	C₂²	semidirect
82. C₂×#4083	C₂²	semidirect
83. C₂×#4083	C₂²	semidirect
84. C₂×#4081	C₂²	semidirect
85. C₂×#4076	C₂²	semidirect
86. C₂×#4076	C₂²	semidirect
87. C₂×#4076	C₂²	semidirect
88. C₂×#4076	C₂²	semidirect
89. C₂×#4075	C₂²	semidirect
90. 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. C₂²×#685	C₂²	semidirect
96. C₂²×#685	C₂²	semidirect
97. #66032	C₂²	semidirect
98. #66027	C₂²	semidirect
99. #66013	C₂²	semidirect
100. #66008	C₂²	semidirect
101. #66008	C₂²	semidirect
102. #66004	C₂²	semidirect
103. #66000	C₂²	semidirect
104. #65997	C₂²	semidirect
105. #65995	C₂²	semidirect
106. #65991	C₂²	semidirect
107. #65990	C₂²	semidirect
108. #65988	C₂²	semidirect
109. #65988	C₂²	semidirect
110. #65987	C₂²	semidirect
111. #65981	C₂²	semidirect
112. #65978	C₂²	semidirect
113. #65974	C₂²	semidirect
114. #65971	C₂²	semidirect
115. #65965	C₂²	semidirect
116. #65964	C₂²	semidirect
117. #65963	C₂²	semidirect
118. #65961	C₂²	semidirect
119. #65954	C₂²	semidirect
120. #65949	C₂²	semidirect
121. #65944	C₂²	semidirect
122. #65943	C₂²	semidirect
123. #65941	C₂²	semidirect
124. #65939	C₂²	semidirect
125. D₅×#121	C₂²	semidirect
126. #65933	C₂²	semidirect
127. C₂×#4044	C₂²	semidirect
128. C₂×#4044	C₂²	semidirect
129. C₂×#4044	C₂²	semidirect
130. C₂×#4044	C₂²	semidirect
131. C₂×#4043	C₂²	semidirect
132. C₂×#4042	C₂²	semidirect
133. C₂×#4042	C₂²	semidirect
134. C₂×#4042	C₂²	semidirect
135. C₂×#4042	C₂²	semidirect
137. C₂×#4041	C₂²	semidirect
138. C₂×#4041	C₂²	semidirect
139. C₂×#4041	C₂²	semidirect
140. C₂×#4041	C₂²	semidirect
141. C₂×#4041	C₂²	semidirect
142. C₂×#4041	C₂²	semidirect
143. C₂×#4041	C₂²	semidirect
144. C₂×#4041	C₂²	semidirect
147. C₂×#4040	C₂²	semidirect
148. C₂×#4040	C₂²	semidirect
149. C₂×#4040	C₂²	semidirect
150. C₂×#4040	C₂²	semidirect
151. C₂×#4040	C₂²	semidirect
152. C₂×#4040	C₂²	semidirect
153. C₂×#4040	C₂²	semidirect
154. C₂×#4040	C₂²	semidirect
156. C₂×#4039	C₂²	semidirect
157. C₂×#4039	C₂²	semidirect
158. C₂×#4039	C₂²	semidirect
159. C₂×#4039	C₂²	semidirect
160. C₂×#4038	C₂²	semidirect
161. C₂×#4038	C₂²	semidirect
162. C₂×D₅×C₄⋊C₄	C₂²	semidirect
163. C₂×D₅×C₄⋊C₄	C₂²	semidirect
164. C₂×#4035	C₂²	semidirect
165. C₂×#4035	C₂²	semidirect
166. C₂×#4033	C₂²	semidirect
167. C₂×#4032	C₂²	semidirect
168. C₂×#4031	C₂²	semidirect
169. C₂×#4031	C₂²	semidirect
170. C₂×#4031	C₂²	semidirect
171. C₂×#4031	C₂²	semidirect
174. C₂×#4030	C₂²	semidirect
175. C₂×#4030	C₂²	semidirect
176. C₂×#4030	C₂²	semidirect
177. C₂×#4030	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×#4030	C₂²	semidirect
185. C₂×#4030	C₂²	semidirect
186. C₂×#4029	C₂²	semidirect
187. C₂×#4029	C₂²	semidirect
188. C₂×#4029	C₂²	semidirect
189. C₂×#4029	C₂²	semidirect
192. C₂×#4028	C₂²	semidirect
193. C₂×#4028	C₂²	semidirect
194. C₂×#4028	C₂²	semidirect
195. C₂×#4028	C₂²	semidirect
196. C₂×#4028	C₂²	semidirect
197. C₂×#4028	C₂²	semidirect
198. C₂×#4028	C₂²	semidirect
199. C₂×#4028	C₂²	semidirect
200. C₂×#4028	C₂²	semidirect
201. C₂×#4027	C₂²	semidirect
202. C₂×#4027	C₂²	semidirect
203. C₂×#4027	C₂²	semidirect
204. C₂×#4027	C₂²	semidirect
205. C₂×#4027	C₂²	semidirect
206. C₂×#4027	C₂²	semidirect
207. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
208. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
209. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
210. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
211. C₂×#4025	C₂²	semidirect
212. C₂×#4025	C₂²	semidirect
213. C₂×#4023	C₂²	semidirect
214. C₂×#4023	C₂²	semidirect
215. C₂×#4020	C₂²	semidirect
216. C₂×#4018	C₂²	semidirect
217. C₂×#4018	C₂²	semidirect
218. C₂×#4018	C₂²	semidirect
260. C₂×#713	C₂³	semidirect
261. C₂×#713	C₂³	semidirect
263. C₂×#711	C₂³	semidirect
271. C₂×D₄×D₅	C₂³	semidirect
272. C₂×D₄×D₅	C₂³	semidirect
273. C₂×D₄×D₅	C₂³	semidirect
276. C₂×#709	C₂³	semidirect
277. C₂×#709	C₂³	semidirect
312. C₂²×C₄×D₅	C₂³	semidirect
315. C₅×#125	C₂³	semidirect
316. C₅×#124	C₂³	semidirect
317. C₅×#124	C₂³	semidirect
318. C₅×#123	C₂³	semidirect
319. C₅×#123	C₂³	semidirect
320. C₅×#123	C₂³	semidirect
321. C₅×#123	C₂³	semidirect
322. C₅×C₂²⋊Q₈	C₂³	semidirect
323. C₅×C₂²⋊Q₈	C₂³	semidirect
324. C₅×C₂²⋊Q₈	C₂³	semidirect
325. C₅×C₂²⋊Q₈	C₂³	semidirect
326. C₅×#121	C₂³	semidirect
327. C₅×#121	C₂³	semidirect
328. C₅×#121	C₂³	semidirect
329. C₅×#121	C₂³	semidirect
359. #4093	C₂³	semidirect
360. #4093	C₂³	semidirect
361. #4093	C₂³	semidirect
362. #4092	C₂³	semidirect
363. #4092	C₂³	semidirect
364. #4090	C₂³	semidirect
365. #4086	C₂³	semidirect
366. #4086	C₂³	semidirect
367. #4086	C₂³	semidirect
368. #4086	C₂³	semidirect
370. #4085	C₂³	semidirect
371. #4085	C₂³	semidirect
372. #4085	C₂³	semidirect
373. #4085	C₂³	semidirect
374. #4085	C₂³	semidirect
375. #4084	C₂³	semidirect
376. #4084	C₂³	semidirect
378. #4083	C₂³	semidirect
379. #4083	C₂³	semidirect
380. #4083	C₂³	semidirect
381. #4083	C₂³	semidirect
382. #4081	C₂³	semidirect
383. #4076	C₂³	semidirect
384. #4076	C₂³	semidirect
385. #4076	C₂³	semidirect
386. #4076	C₂³	semidirect
387. #4075	C₂³	semidirect
388. #4075	C₂³	semidirect
389. C₄×C₂²⋊D₅	C₂³	semidirect
390. C₄×C₂²⋊D₅	C₂³	semidirect
391. C₄×C₂²⋊D₅	C₂³	semidirect
392. C₄×C₂²⋊D₅	C₂³	semidirect
423. C₂×#685	C₂³	semidirect
424. C₂×#685	C₂³	semidirect
450. #4044	C₂³	semidirect
451. #4044	C₂³	semidirect
452. #4044	C₂³	semidirect
453. #4044	C₂³	semidirect
454. #4043	C₂³	semidirect
455. #4042	C₂³	semidirect
456. #4042	C₂³	semidirect
457. #4042	C₂³	semidirect
458. #4042	C₂³	semidirect
460. #4041	C₂³	semidirect
461. #4041	C₂³	semidirect
462. #4041	C₂³	semidirect
463. #4041	C₂³	semidirect
464. #4041	C₂³	semidirect
465. #4041	C₂³	semidirect
466. #4041	C₂³	semidirect
467. #4041	C₂³	semidirect
470. #4040	C₂³	semidirect
471. #4040	C₂³	semidirect
472. #4040	C₂³	semidirect
473. #4040	C₂³	semidirect
474. #4040	C₂³	semidirect
475. #4040	C₂³	semidirect
476. #4040	C₂³	semidirect
477. #4040	C₂³	semidirect
479. #4039	C₂³	semidirect
480. #4039	C₂³	semidirect
481. #4039	C₂³	semidirect
482. #4039	C₂³	semidirect
483. #4038	C₂³	semidirect
484. #4038	C₂³	semidirect
485. D₅×C₄⋊C₄	C₂³	semidirect
486. D₅×C₄⋊C₄	C₂³	semidirect
487. #4035	C₂³	semidirect
488. #4035	C₂³	semidirect
489. #4033	C₂³	semidirect
490. #4032	C₂³	semidirect
491. #4031	C₂³	semidirect
492. #4031	C₂³	semidirect
493. #4031	C₂³	semidirect
494. #4031	C₂³	semidirect
497. #4030	C₂³	semidirect
498. #4030	C₂³	semidirect
499. #4030	C₂³	semidirect
500. #4030	C₂³	semidirect
501. #4030	C₂³	semidirect
502. #4030	C₂³	semidirect
503. #4030	C₂³	semidirect
504. #4030	C₂³	semidirect
505. #4030	C₂³	semidirect
506. #4030	C₂³	semidirect
507. #4030	C₂³	semidirect
508. #4030	C₂³	semidirect
509. #4029	C₂³	semidirect
510. #4029	C₂³	semidirect
511. #4029	C₂³	semidirect
512. #4029	C₂³	semidirect
515. #4028	C₂³	semidirect
516. #4028	C₂³	semidirect
517. #4028	C₂³	semidirect
518. #4028	C₂³	semidirect
519. #4028	C₂³	semidirect
520. #4028	C₂³	semidirect
521. #4028	C₂³	semidirect
522. #4028	C₂³	semidirect
523. #4028	C₂³	semidirect
524. #4027	C₂³	semidirect
525. #4027	C₂³	semidirect
526. #4027	C₂³	semidirect
527. #4027	C₂³	semidirect
528. #4027	C₂³	semidirect
529. #4027	C₂³	semidirect
530. D₅×C₂²⋊C₄	C₂³	semidirect
531. D₅×C₂²⋊C₄	C₂³	semidirect
532. D₅×C₂²⋊C₄	C₂³	semidirect
533. D₅×C₂²⋊C₄	C₂³	semidirect
534. #4025	C₂³	semidirect
535. #4025	C₂³	semidirect
536. #4023	C₂³	semidirect
537. #4023	C₂³	semidirect
538. #4020	C₂³	semidirect
539. #4018	C₂³	semidirect
540. #4018	C₂³	semidirect
541. #4018	C₂³	semidirect
544. C₂×#562	D₅	semidirect
866. #562	C₂×D₅	semidirect
907. C₂×#125	C₂×D₅	semidirect
915. C₂×#124	C₂×D₅	semidirect
916. C₂×#124	C₂×D₅	semidirect
937. C₂×#123	C₂×D₅	semidirect
938. C₂×#123	C₂×D₅	semidirect
939. C₂×#123	C₂×D₅	semidirect
940. C₂×#123	C₂×D₅	semidirect
948. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
949. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
950. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
951. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
988. C₂×#121	C₂×D₅	semidirect
989. C₂×#121	C₂×D₅	semidirect
990. C₂×#121	C₂×D₅	semidirect
991. C₂×#121	C₂×D₅	semidirect
1319. #125	C₂²×D₅	semidirect
1327. #124	C₂²×D₅	semidirect
1328. #124	C₂²×D₅	semidirect
1347. #123	C₂²×D₅	semidirect
1348. #123	C₂²×D₅	semidirect
1349. #123	C₂²×D₅	semidirect
1350. #123	C₂²×D₅	semidirect
1358. C₂²⋊Q₈	C₂²×D₅	semidirect
1359. C₂²⋊Q₈	C₂²×D₅	semidirect
1360. C₂²⋊Q₈	C₂²×D₅	semidirect
1361. C₂²⋊Q₈	C₂²×D₅	semidirect
1397. #121	C₂²×D₅	semidirect
1398. #121	C₂²×D₅	semidirect
1399. #121	C₂²×D₅	semidirect
1400. #121	C₂²×D₅	semidirect
1888. C₂×C₅	#3542	semidirect
2070. C₅	C₂×#3542	semidirect
2155. C₂	#10618998	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×#562	2
#10618998	2
C₂×#66027	2
C₂×#66032	2
C₂×#66013	2
C₂×#66008	2
C₂×#66004	2
C₂×#66000	2
C₂×#65988	2
C₂×#65991	2
C₂×#65987	2
C₂×#65995	2
C₂×#65997	2
C₂×#65990	2
C₂×#65981	2
C₂×#65971	2
C₂×#65965	2
C₂×#65964	2
C₂×#65978	2
C₂×#65963	2
C₂×#65974	2
C₂×#65961	2
C₂×#65954	2
C₂×#65944	2
C₂×#65943	2
C₂×#65941	2
C₂×#65939	2
C₂×D₅×#121	2
C₂×#65933	2
C₂×#65949	2
C₂×#3542	5

Subgroups — C2×#10618998 #13006440

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618998 #13006440