Subgroups — C₂×#13128766 #16770886

Order 3328.

8082 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128766	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719369	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719341	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719414	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719306	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719398	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719342	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719410	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719363	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719363	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719336	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719359	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719359	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719359	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719335	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719314	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719345	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719368	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719397	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719409	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719265	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719396	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#11719411	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#11719332	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#11719252	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂²×#88148	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×D₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11719209	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11719250	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
35	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
36	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
37	C₂²×#6127	C₂²	1	1	yes	characteristic
38	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
39	C₂³×D₅₂	C₂²	1	1	yes	characteristic
40	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#539	C₂²	1	16	yes	complemented
43	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88194	C₂²	1	1	yes	characteristic
62	C₂×#88193	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88193	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88193	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88191	C₂²	1	1	yes	characteristic
66	C₂×#88191	C₂²	1	1	yes	characteristic
67	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
68	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
69	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
70	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
71	C₂×#88183	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
73	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
74	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
77	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
79	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
80	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
81	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
82	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
83	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
84	C₂²×#6101	C₂²	1	1	yes	characteristic, complemented
85	#11719414	C₂²	1	16	yes	complemented
86	#11719411	C₂²	1	16	yes	complemented
87	#11719410	C₂²	1	16	yes	complemented
88	#11719409	C₂²	1	16	yes	complemented
89	#11719400	C₂²	1	16	yes	complemented
90	#11719398	C₂²	1	16	yes	complemented
91	#11719397	C₂²	1	16	yes	complemented
92	#11719396	C₂²	1	16	yes	complemented
93	#11719369	C₂²	1	16	yes	complemented
94	#11719368	C₂²	1	16	yes	complemented
95	#11719363	C₂²	1	16	yes	complemented
96	#11719363	C₂²	1	16	yes	complemented
97	#11719359	C₂²	1	16	yes	complemented
98	#11719359	C₂²	1	16	yes	complemented
99	#11719359	C₂²	1	16	yes	complemented
100	D₁₃×#123	C₂²	1	16	yes	complemented
101	#11719345	C₂²	1	16	yes	complemented
102	#11719342	C₂²	1	16	yes	complemented
103	#11719341	C₂²	1	16	yes	complemented
104	#11719336	C₂²	1	16	yes	complemented
105	#11719335	C₂²	1	16	yes	complemented
106	#11719332	C₂²	1	16	yes	complemented
107	#11719314	C₂²	1	16	yes	complemented
108	#11719306	C₂²	1	16	yes	complemented
109	#11719265	C₂²	1	16	yes	complemented
110	#11719252	C₂²	1	16	yes	complemented
111	#11719250	C₂²	1	16	yes	complemented
112	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
113	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
114	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
115	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
116	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
117	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
118	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
119	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
120	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
121	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
122	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
123	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
124	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
125	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
126	C₂×#88149	C₂²	1	1	yes	characteristic
127	C₂×#88149	C₂²	1	1	yes	characteristic
128	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
129	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
130	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
131	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
132	C₂×#88148	C₂²	1	1	yes	characteristic
133	C₂×#88148	C₂²	1	1	yes	characteristic
134	C₂×#88148	C₂²	1	1	yes	characteristic
135	C₂×#88148	C₂²	1	16	yes	complemented
136	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
138	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
139	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
142	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
145	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
146	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
147	#11719209	C₂²	1	16	yes	complemented
148	C₂×#88147	C₂²	1	1	yes	characteristic
149	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
150	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
151	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
152	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
153	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
154	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
155	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
156	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
157	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
158	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
159	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
160	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
162	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
163	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
165	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
166	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
167	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
168	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
169	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
170	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
171	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
172	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
173	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
174	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
175	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
176	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
177	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
178	C₂×#88138	C₂²	1	1	yes	characteristic
179	C₂×#88138	C₂²	1	1	yes	characteristic
180	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
181	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
182	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
183	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
184	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
185	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
186	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
187	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
188	C₂×#88136	C₂²	1	1	yes	characteristic
189	C₂×#88136	C₂²	1	1	yes	characteristic
190	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
191	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
192	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
193	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
194	C₂×#88135	C₂²	1	1	yes	characteristic
195	C₂×#88135	C₂²	1	1	yes	characteristic
196	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
197	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
198	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
199	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
200	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
204	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
205	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
206	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
207	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
208	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
209	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
210	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
211	C₂×#88130	C₂²	1	1	yes	characteristic, complemented
212	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
213	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
214	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
215	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
216	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
217	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
219	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
220	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
221	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
222	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
223	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
226	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
230	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
235	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
236	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
237	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
238	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
239	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
240	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
241	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
242	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×#6131	—	4	4	no	—
247	C₂×#6131	C₂³	1	8	yes	complemented
248	C₂×D₄×D₁₃	—	2	8	no	—
249	C₂×D₄×D₁₃	—	2	8	no	—
250	C₂×D₄×D₁₃	—	4	4	no	—
251	C₂×D₄×D₁₃	C₂³	1	8	yes	—
252	C₂×D₄×D₁₃	C₂³	1	8	yes	—
253	C₂×D₄×D₁₃	C₂³	1	8	yes	—
254	C₂×#6127	—	2	8	no	—
255	C₂×#6127	—	4	4	no	—
256	C₂×#6127	C₂³	1	8	yes	—
257	C₂×#6127	C₂³	1	8	yes	complemented
258	C₂²×D₅₂	—	4	4	no	—
259	C₂²×D₅₂	C₂³	1	1	yes	characteristic
260	C₂²×D₅₂	C₂³	1	1	yes	characteristic
261	C₂²×D₅₂	C₂³	1	1	yes	characteristic
262	C₂²×D₅₂	C₂³	1	1	yes	characteristic
263	C₂²×D₅₂	C₂³	1	1	yes	characteristic
264	C₂²×D₅₂	C₂³	1	1	yes	characteristic
265	C₂²×D₅₂	C₂³	1	1	yes	characteristic
266	C₂²×D₅₂	C₂³	1	1	yes	characteristic
267	C₂²×D₅₂	C₂³	1	1	yes	characteristic
268	C₂²×D₅₂	C₂³	1	1	yes	characteristic
269	C₂²×D₅₂	C₂³	1	1	yes	characteristic
270	C₂²×D₅₂	C₂³	1	8	yes	—
271	C₂²×C₄×D₁₃	—	4	4	no	—
272	C₂²×C₄×D₁₃	—	4	4	no	—
273	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
274	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
275	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
276	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
277	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
278	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
279	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
280	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
281	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
282	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
283	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
284	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
285	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
286	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
287	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
288	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
289	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
290	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
291	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
292	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
293	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
294	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
295	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
296	C₁₃×#126	C₂³	1	8	yes	complemented
297	C₁₃×#126	C₂³	1	8	yes	complemented
298	C₁₃×#125	C₂³	1	8	yes	complemented
299	C₁₃×#125	C₂³	1	8	yes	complemented
300	C₁₃×#123	C₂³	1	8	yes	complemented
301	C₁₃×#123	C₂³	1	8	yes	complemented
302	C₁₃×#123	C₂³	1	8	yes	complemented
303	C₁₃×#123	C₂³	1	8	yes	complemented
304	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
305	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
306	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
307	C₁₃×#121	C₂³	1	8	yes	—
308	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
309	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
310	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
325	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
343	#88201	C₂³	1	8	yes	complemented
344	#88200	C₂³	1	8	yes	complemented
345	#88198	C₂³	1	8	yes	complemented
346	#88194	C₂³	1	8	yes	—
347	#88193	C₂³	1	8	yes	complemented
348	#88193	C₂³	1	8	yes	complemented
349	#88193	C₂³	1	8	yes	complemented
350	#88191	C₂³	1	8	yes	—
351	#88191	C₂³	1	8	yes	—
352	#88189	C₂³	1	8	yes	complemented
353	D₄×Dic₁₃	C₂³	1	8	yes	complemented
354	D₄×Dic₁₃	C₂³	1	8	yes	complemented
355	#88184	C₂³	1	8	yes	complemented
356	#88183	C₂³	1	8	yes	complemented
357	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
358	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
359	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
360	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
361	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
362	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
363	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
364	C₂×#6103	C₂³	1	1	yes	characteristic
365	C₂×#6103	C₂³	1	1	yes	characteristic
366	C₂×#6103	C₂³	1	1	yes	characteristic
367	C₂×#6103	C₂³	1	1	yes	characteristic
368	C₂×#6103	C₂³	1	1	yes	characteristic
369	C₂×#6103	C₂³	1	1	yes	characteristic
370	C₂×#6103	C₂³	1	1	yes	characteristic
371	C₂×#6103	C₂³	1	1	yes	characteristic
372	C₂×#6103	C₂³	1	1	yes	characteristic
373	C₂×#6103	C₂³	1	1	yes	characteristic
374	C₂×#6103	C₂³	1	1	yes	characteristic
375	C₂×#6103	C₂³	1	1	yes	characteristic
376	C₂×#6103	C₂³	1	1	yes	characteristic
377	C₂×#6103	C₂³	1	1	yes	characteristic
378	C₂×#6103	C₂³	1	1	yes	characteristic
379	C₂×#6103	C₂³	1	1	yes	characteristic
380	C₂×#6103	C₂³	1	1	yes	characteristic
381	C₂×#6103	C₂³	1	1	yes	characteristic
382	C₂×#6103	C₂³	1	1	yes	characteristic
383	C₂×#6103	C₂³	1	1	yes	characteristic
384	C₂×#6103	C₂³	1	1	yes	characteristic
385	C₂×#6103	C₂³	1	1	yes	characteristic
386	C₂×#6103	C₂³	1	1	yes	characteristic
387	C₂×#6103	C₂³	1	1	yes	characteristic
388	C₂×#6103	C₂³	1	1	yes	characteristic
389	C₂×#6103	C₂³	1	1	yes	characteristic
390	C₂×#6103	C₂³	1	1	yes	characteristic
391	C₂×#6103	C₂³	1	1	yes	characteristic
392	C₂×#6103	C₂³	1	1	yes	characteristic
393	C₂×#6103	C₂³	1	1	yes	characteristic
394	C₂×#6103	C₂³	1	1	yes	characteristic
395	C₂×#6103	C₂³	1	1	yes	characteristic
396	C₂×#6103	C₂³	1	8	yes	complemented
397	C₂×#6103	C₂³	1	8	yes	complemented
398	C₂×#6103	C₂³	1	8	yes	complemented
399	C₂×#6103	C₂³	1	8	yes	complemented
400	#88180	C₂³	1	8	yes	complemented
401	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
402	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
403	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
404	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
405	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
406	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
407	C₂×#6101	C₂³	1	1	yes	characteristic
408	C₂×#6101	C₂³	1	1	yes	characteristic
409	C₂×#6101	C₂³	1	1	yes	characteristic
410	C₂×#6101	C₂³	1	1	yes	characteristic
411	C₂×#6101	C₂³	1	1	yes	characteristic
412	C₂×#6101	C₂³	1	1	yes	characteristic
413	C₂×#6101	C₂³	1	1	yes	characteristic
414	C₂×#6101	C₂³	1	1	yes	characteristic
415	C₂×#6101	C₂³	1	1	yes	characteristic
416	C₂×#6101	C₂³	1	1	yes	characteristic
417	C₂×#6101	C₂³	1	1	yes	characteristic
418	C₂×#6101	C₂³	1	1	yes	characteristic
419	C₂×#6101	C₂³	1	1	yes	characteristic
420	C₂×#6101	C₂³	1	1	yes	characteristic
421	C₂×#6101	C₂³	1	1	yes	characteristic
422	C₂×#6101	C₂³	1	1	yes	characteristic
423	C₂×#6101	C₂³	1	8	yes	complemented
424	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
425	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
426	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
427	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
428	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
429	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
430	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
431	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
432	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
433	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
434	#88152	C₂³	1	8	yes	complemented
435	#88152	C₂³	1	8	yes	complemented
436	#88152	C₂³	1	8	yes	complemented
437	#88152	C₂³	1	8	yes	complemented
438	#88152	C₂³	1	8	yes	complemented
439	#88152	C₂³	1	8	yes	complemented
440	#88151	C₂³	1	8	yes	complemented
441	#88151	C₂³	1	8	yes	complemented
442	#88150	C₂³	1	8	yes	complemented
443	#88150	C₂³	1	8	yes	complemented
444	#88150	C₂³	1	8	yes	complemented
445	#88150	C₂³	1	8	yes	complemented
446	#88150	C₂³	1	8	yes	complemented
447	#88149	C₂³	1	8	yes	—
448	#88149	C₂³	1	8	yes	—
449	#88149	C₂³	1	8	yes	complemented
450	#88149	C₂³	1	8	yes	complemented
451	#88149	C₂³	1	8	yes	complemented
452	#88149	C₂³	1	8	yes	complemented
453	#88148	C₂³	1	8	yes	—
454	#88148	C₂³	1	8	yes	—
455	#88148	C₂³	1	8	yes	—
456	#88148	C₂³	1	8	yes	complemented
457	#88148	C₂³	1	8	yes	complemented
458	#88148	C₂³	1	8	yes	complemented
459	#88148	C₂³	1	8	yes	complemented
460	#88148	C₂³	1	8	yes	complemented
461	#88148	C₂³	1	8	yes	complemented
462	#88148	C₂³	1	8	yes	complemented
463	#88148	C₂³	1	8	yes	complemented
464	#88148	C₂³	1	8	yes	complemented
465	#88148	C₂³	1	8	yes	complemented
466	#88148	C₂³	1	8	yes	complemented
467	#88147	C₂³	1	8	yes	—
468	#88147	C₂³	1	8	yes	complemented
469	#88147	C₂³	1	8	yes	complemented
470	#88147	C₂³	1	8	yes	complemented
471	#88147	C₂³	1	8	yes	complemented
472	#88147	C₂³	1	8	yes	complemented
473	#88147	C₂³	1	8	yes	complemented
474	#88147	C₂³	1	8	yes	complemented
475	#88146	C₂³	1	8	yes	complemented
476	#88146	C₂³	1	8	yes	complemented
477	#88146	C₂³	1	8	yes	complemented
478	#88146	C₂³	1	8	yes	complemented
479	#88146	C₂³	1	8	yes	complemented
480	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
481	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
482	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
483	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
484	#88143	C₂³	1	8	yes	complemented
485	#88143	C₂³	1	8	yes	complemented
486	#88143	C₂³	1	8	yes	complemented
487	#88141	C₂³	1	8	yes	complemented
488	#88141	C₂³	1	8	yes	complemented
489	#88141	C₂³	1	8	yes	complemented
490	#88140	C₂³	1	8	yes	complemented
491	#88140	C₂³	1	8	yes	complemented
492	#88139	C₂³	1	8	yes	complemented
493	#88139	C₂³	1	8	yes	complemented
494	#88139	C₂³	1	8	yes	complemented
495	#88139	C₂³	1	8	yes	complemented
496	#88139	C₂³	1	8	yes	complemented
497	#88138	C₂³	1	8	yes	—
498	#88138	C₂³	1	8	yes	—
499	#88138	C₂³	1	8	yes	complemented
500	#88138	C₂³	1	8	yes	complemented
501	#88138	C₂³	1	8	yes	complemented
502	#88138	C₂³	1	8	yes	complemented
503	#88137	C₂³	1	8	yes	complemented
504	#88137	C₂³	1	8	yes	complemented
505	#88137	C₂³	1	8	yes	complemented
506	#88137	C₂³	1	8	yes	complemented
507	#88136	C₂³	1	8	yes	—
508	#88136	C₂³	1	8	yes	—
509	#88136	C₂³	1	8	yes	complemented
510	#88136	C₂³	1	8	yes	complemented
511	#88136	C₂³	1	8	yes	complemented
512	#88136	C₂³	1	8	yes	complemented
513	#88135	C₂³	1	8	yes	—
514	#88135	C₂³	1	8	yes	—
515	#88135	C₂³	1	8	yes	complemented
516	#88135	C₂³	1	8	yes	complemented
517	#88135	C₂³	1	8	yes	complemented
518	#88135	C₂³	1	8	yes	complemented
519	#88135	C₂³	1	8	yes	complemented
520	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
521	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
522	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
523	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
524	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
525	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
526	#88133	C₂³	1	8	yes	complemented
527	#88132	C₂³	1	8	yes	complemented
528	#88132	C₂³	1	8	yes	complemented
529	#88131	C₂³	1	8	yes	complemented
530	#88130	C₂³	1	8	yes	complemented
531	#88129	C₂³	1	8	yes	complemented
532	C₄×D₅₂	C₂³	1	8	yes	complemented
533	C₄×D₅₂	C₂³	1	8	yes	complemented
534	C₄×D₅₂	C₂³	1	8	yes	complemented
535	#88126	C₂³	1	8	yes	complemented
536	#88126	C₂³	1	8	yes	complemented
537	C₄²×D₁₃	C₂³	1	8	yes	complemented
538	C₂×#3513	—	13	1	no	maximal, Sylow
539	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂³×D₁₃	—	2	4	no	—
543	C₂³×D₁₃	—	2	4	no	—
544	C₂³×D₁₃	—	2	4	no	—
545	C₂³×D₁₃	—	2	4	no	—
546	C₂³×D₁₃	—	2	4	no	—
547	C₂³×D₁₃	—	2	4	no	—
548	C₂³×D₁₃	—	4	2	no	—
549	C₂³×D₁₃	—	4	2	no	—
550	C₂³×D₁₃	—	4	2	no	—
551	C₂³×D₁₃	—	4	2	no	—
552	C₂³×D₁₃	—	4	2	no	—
553	C₂³×D₁₃	—	4	2	no	—
554	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
555	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
556	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
557	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
558	C₂³×D₁₃	C₂⁴	1	4	yes	—
559	C₂³×D₁₃	C₂⁴	1	4	yes	—
560	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
561	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
562	C₂³×D₁₃	C₂⁴	1	4	yes	—
563	C₂³×D₁₃	C₂⁴	1	4	yes	—
564	C₂×Q₈×C₁₃	—	4	2	no	—
565	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
566	C₂×D₄×C₁₃	—	2	4	no	—
567	C₂×D₄×C₁₃	—	2	4	no	—
568	C₂×D₄×C₁₃	—	4	2	no	—
569	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
570	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
571	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₁₃	—	2	4	no	—
573	C₂²×C₄×C₁₃	—	4	2	no	—
574	C₂²×C₄×C₁₃	—	4	2	no	—
575	C₂²×C₄×C₁₃	—	4	2	no	—
576	C₂²×C₄×C₁₃	—	4	2	no	—
577	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
590	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
591	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
592	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
593	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
594	C₂×C₂²⋊D₁₃	—	2	4	no	—
595	C₂×C₂²⋊D₁₃	—	2	4	no	—
596	C₂×C₂²⋊D₁₃	—	2	4	no	—
597	C₂×C₂²⋊D₁₃	—	2	4	no	—
598	C₂×C₂²⋊D₁₃	—	4	2	no	—
599	C₂×C₂²⋊D₁₃	—	4	2	no	—
600	C₂×C₂²⋊D₁₃	—	4	2	no	—
601	C₂×C₂²⋊D₁₃	—	4	2	no	—
602	C₂×C₂²⋊D₁₃	—	4	2	no	—
603	C₂×C₂²⋊D₁₃	#41	1	8	yes	complemented
604	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
605	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
606	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
607	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
608	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
609	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
610	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
611	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
612	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
613	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
614	C₂²×Dic₁₃	—	4	2	no	—
615	C₂²×Dic₁₃	—	4	2	no	—
616	C₂²×Dic₁₃	—	4	2	no	—
617	C₂²×Dic₁₃	—	4	2	no	—
618	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
619	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
620	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
621	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
622	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
623	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
624	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
625	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
626	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
627	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
628	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
629	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
630	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
631	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
632	#6131	—	4	16	no	—
633	D₄×D₁₃	—	2	32	no	—
634	D₄×D₁₃	—	2	32	no	—
635	D₄×D₁₃	—	4	16	no	—
636	#6127	—	2	32	no	—
637	#6127	—	4	16	no	—
638	C₂×D₅₂	—	2	4	no	—
639	C₂×D₅₂	—	2	4	no	—
640	C₂×D₅₂	—	2	4	no	—
641	C₂×D₅₂	—	2	4	no	—
642	C₂×D₅₂	—	2	4	no	—
643	C₂×D₅₂	—	2	4	no	—
644	C₂×D₅₂	—	4	16	no	—
645	C₂×D₅₂	—	4	2	no	—
646	C₂×D₅₂	—	4	2	no	—
647	C₂×D₅₂	—	4	2	no	—
648	C₂×D₅₂	—	4	2	no	—
649	C₂×D₅₂	—	4	2	no	—
650	C₂×D₅₂	C₂⁴	1	4	yes	—
651	C₂×D₅₂	C₂⁴	1	4	yes	—
652	C₂×D₅₂	C₂⁴	1	4	yes	—
653	C₂×D₅₂	C₂⁴	1	4	yes	—
654	C₂×D₅₂	C₂⁴	1	4	yes	—
655	C₂×D₅₂	C₂⁴	1	4	yes	—
656	C₂×D₅₂	C₂⁴	1	4	yes	—
657	C₂×D₅₂	C₂⁴	1	4	yes	—
658	C₂×D₅₂	C₂⁴	1	4	yes	—
659	C₂×D₅₂	C₂⁴	1	4	yes	—
660	C₂×D₅₂	C₂⁴	1	4	yes	—
661	C₂×C₄×D₁₃	—	2	4	no	—
662	C₂×C₄×D₁₃	—	2	4	no	—
663	C₂×C₄×D₁₃	—	2	4	no	—
664	C₂×C₄×D₁₃	—	2	4	no	—
665	C₂×C₄×D₁₃	—	2	4	no	—
666	C₂×C₄×D₁₃	—	2	4	no	—
667	C₂×C₄×D₁₃	—	2	4	no	—
668	C₂×C₄×D₁₃	—	4	16	no	—
669	C₂×C₄×D₁₃	—	4	16	no	—
670	C₂×C₄×D₁₃	—	4	2	no	—
671	C₂×C₄×D₁₃	—	4	2	no	—
672	C₂×C₄×D₁₃	—	4	2	no	—
673	C₂×C₄×D₁₃	—	4	2	no	—
674	C₂×C₄×D₁₃	—	4	2	no	—
675	C₂×C₄×D₁₃	—	4	2	no	—
676	C₂×C₄×D₁₃	—	4	2	no	—
677	C₂×C₄×D₁₃	—	4	2	no	—
678	C₂×C₄×D₁₃	—	4	2	no	—
679	C₂×C₄×D₁₃	—	4	2	no	—
680	C₂×C₄×D₁₃	—	4	2	no	—
681	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
682	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
683	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
684	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
685	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
686	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
687	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
688	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
689	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
690	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
691	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
692	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
693	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
694	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
695	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
696	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
697	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
698	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
699	C₂×Dic₂₆	—	2	4	no	—
700	C₂×Dic₂₆	—	4	2	no	—
701	C₂×Dic₂₆	—	4	2	no	—
702	C₂×Dic₂₆	C₂⁴	1	4	yes	—
703	C₂×Dic₂₆	C₂⁴	1	4	yes	—
704	C₂×Dic₂₆	C₂⁴	1	4	yes	—
705	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
706	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
707	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
708	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
709	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
710	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
711	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
712	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
713	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
714	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
715	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
716	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
717	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
718	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
719	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
720	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
721	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
722	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
723	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
724	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
725	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
726	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
727	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
728	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
729	C₄²×C₁₃	C₂⁴	1	4	yes	—
730	C₄²×C₁₃	C₂⁴	1	4	yes	—
731	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
732	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
733	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
734	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
735	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
736	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
737	#6103	C₂⁴	1	4	yes	—
738	#6103	C₂⁴	1	4	yes	—
739	#6103	C₂⁴	1	4	yes	—
740	#6103	C₂⁴	1	4	yes	—
741	#6103	C₂⁴	1	4	yes	—
742	#6103	C₂⁴	1	4	yes	—
743	#6103	C₂⁴	1	4	yes	—
744	#6103	C₂⁴	1	4	yes	—
745	#6103	C₂⁴	1	4	yes	—
746	#6103	C₂⁴	1	4	yes	—
747	#6103	C₂⁴	1	4	yes	—
748	#6103	C₂⁴	1	4	yes	—
749	#6103	C₂⁴	1	4	yes	—
750	#6103	C₂⁴	1	4	yes	—
751	#6103	C₂⁴	1	4	yes	—
752	#6103	C₂⁴	1	4	yes	—
753	#6103	C₂⁴	1	4	yes	—
754	#6103	C₂⁴	1	4	yes	—
755	#6103	C₂⁴	1	4	yes	—
756	#6103	C₂⁴	1	4	yes	—
757	#6103	C₂⁴	1	4	yes	—
758	#6103	C₂⁴	1	4	yes	—
759	#6103	C₂⁴	1	4	yes	—
760	#6103	C₂⁴	1	4	yes	—
761	#6103	C₂⁴	1	4	yes	—
762	#6103	C₂⁴	1	4	yes	—
763	#6103	C₂⁴	1	4	yes	—
764	#6103	C₂⁴	1	4	yes	—
765	#6103	C₂⁴	1	4	yes	—
766	#6103	C₂⁴	1	4	yes	—
767	#6103	C₂⁴	1	4	yes	—
768	#6103	C₂⁴	1	4	yes	—
769	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
770	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
771	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
772	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
773	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
774	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
775	#6101	C₂⁴	1	4	yes	—
776	#6101	C₂⁴	1	4	yes	—
777	#6101	C₂⁴	1	4	yes	—
778	#6101	C₂⁴	1	4	yes	—
779	#6101	C₂⁴	1	4	yes	—
780	#6101	C₂⁴	1	4	yes	—
781	#6101	C₂⁴	1	4	yes	—
782	#6101	C₂⁴	1	4	yes	—
783	#6101	C₂⁴	1	4	yes	—
784	#6101	C₂⁴	1	4	yes	—
785	#6101	C₂⁴	1	4	yes	—
786	#6101	C₂⁴	1	4	yes	—
787	#6101	C₂⁴	1	4	yes	—
788	#6101	C₂⁴	1	4	yes	—
789	#6101	C₂⁴	1	4	yes	—
790	#6101	C₂⁴	1	4	yes	—
791	C₄×Dic₁₃	C₂⁴	1	4	yes	—
792	C₄×Dic₁₃	C₂⁴	1	4	yes	—
793	C₄×Dic₁₃	C₂⁴	1	4	yes	—
794	C₄×Dic₁₃	C₂⁴	1	4	yes	—
795	C₄×Dic₁₃	C₂⁴	1	4	yes	—
796	C₄×Dic₁₃	C₂⁴	1	4	yes	—
797	C₄×Dic₁₃	C₂⁴	1	4	yes	—
798	C₄×Dic₁₃	C₂⁴	1	4	yes	—
799	C₄×Dic₁₃	C₂⁴	1	4	yes	—
800	C₄×Dic₁₃	C₂⁴	1	4	yes	—
801	#3513	—	13	32	no	—
802	C₂×#559	—	13	1	no	—
803	C₂×#554	—	13	1	no	—
804	C₂×#553	—	13	1	no	—
805	C₂×#553	—	13	1	no	—
806	C₂×#553	—	13	1	no	—
807	C₂×#552	—	13	1	no	—
808	C₂×#551	—	13	1	no	—
809	C₂×#551	—	13	1	no	—
810	C₂×#551	—	13	1	no	—
811	C₂×#551	—	13	1	no	—
812	C₂×#547	—	13	1	no	—
813	C₂×#546	—	13	1	no	—
814	C₂×#546	—	13	1	no	—
815	C₂×#546	—	13	1	no	—
816	C₂×#546	—	13	1	no	—
817	C₂×D₄²	—	13	1	no	—
818	C₂×#542	—	13	1	no	—
819	C₂×#540	—	13	1	no	—
820	C₂×#539	—	13	1	no	—
821	C₂×#539	D₁₃	1	1	yes	characteristic, complemented
822	C₂×#538	—	13	1	no	—
823	C₂×#538	—	13	1	no	—
824	C₂×#529	—	13	1	no	—
825	C₂×#529	—	13	1	no	—
826	C₂×#525	—	13	1	no	—
827	C₂×#525	—	13	1	no	—
828	C₂²×#123	—	13	1	no	—
829	C₂²×#123	—	13	1	no	—
830	C₂×#520	—	13	1	no	—
831	C₂×#518	—	13	1	no	—
832	C₂²×C₄×D₄	—	13	1	no	—
833	C₂³×C₁₃	—	2	2	no	—
834	C₂³×C₁₃	—	2	2	no	—
835	C₂³×C₁₃	—	2	2	no	—
836	C₂³×C₁₃	—	2	2	no	—
837	C₂³×C₁₃	—	2	2	no	—
838	C₂³×C₁₃	—	2	2	no	—
839	C₂³×C₁₃	—	2	2	no	—
840	C₂³×C₁₃	—	2	2	no	—
841	C₂³×C₁₃	C₂×#41	1	4	yes	—
842	C₂³×C₁₃	C₂⁵	1	2	yes	—
843	C₂³×C₁₃	C₂⁵	1	2	yes	—
844	C₂³×C₁₃	C₂⁵	1	2	yes	—
845	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
846	C₂²×D₁₃	—	2	2	no	—
847	C₂²×D₁₃	—	2	2	no	—
848	C₂²×D₁₃	—	2	2	no	—
849	C₂²×D₁₃	—	2	2	no	—
850	C₂²×D₁₃	—	2	2	no	—
851	C₂²×D₁₃	—	2	2	no	—
852	C₂²×D₁₃	—	2	2	no	—
853	C₂²×D₁₃	—	2	2	no	—
854	C₂²×D₁₃	—	2	8	no	—
855	C₂²×D₁₃	—	2	2	no	—
856	C₂²×D₁₃	—	2	2	no	—
857	C₂²×D₁₃	—	2	2	no	—
858	C₂²×D₁₃	—	2	2	no	—
859	C₂²×D₁₃	—	2	2	no	—
860	C₂²×D₁₃	—	2	2	no	—
861	C₂²×D₁₃	—	2	2	no	—
862	C₂²×D₁₃	—	2	2	no	—
863	C₂²×D₁₃	—	2	8	no	—
864	C₂²×D₁₃	—	2	8	no	—
865	C₂²×D₁₃	—	2	8	no	—
866	C₂²×D₁₃	—	2	8	no	—
867	C₂²×D₁₃	—	2	8	no	—
868	C₂²×D₁₃	—	4	4	no	—
869	C₂²×D₁₃	—	4	4	no	—
870	C₂²×D₁₃	—	4	16	no	—
871	C₂²×D₁₃	—	4	4	no	—
872	C₂²×D₁₃	—	4	4	no	—
873	C₂²×D₁₃	—	4	4	no	—
874	C₂²×D₁₃	—	4	4	no	—
875	C₂²×D₁₃	—	4	16	no	—
876	C₂²×D₁₃	—	8	8	no	—
877	C₂²×D₁₃	—	8	8	no	—
878	C₂²×D₁₃	C₂×#41	1	4	yes	—
879	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
880	C₂²×D₁₃	C₂⁵	1	2	yes	—
881	C₂²×D₁₃	C₂⁵	1	2	yes	—
882	C₂²×D₁₃	C₂⁵	1	2	yes	—
883	C₂²×D₁₃	C₂⁵	1	2	yes	—
884	C₂²×D₁₃	C₂⁵	1	2	yes	—
885	C₂²×D₁₃	C₂⁵	1	2	yes	—
886	Q₈×C₁₃	—	4	4	no	—
887	D₄×C₁₃	—	2	8	no	—
888	D₄×C₁₃	—	2	8	no	—
889	D₄×C₁₃	—	4	4	no	—
890	C₂×C₄×C₁₃	—	2	2	no	—
891	C₂×C₄×C₁₃	—	2	2	no	—
892	C₂×C₄×C₁₃	—	2	2	no	—
893	C₂×C₄×C₁₃	—	2	2	no	—
894	C₂×C₄×C₁₃	—	2	8	no	—
895	C₂×C₄×C₁₃	—	2	2	no	—
896	C₂×C₄×C₁₃	—	2	2	no	—
897	C₂×C₄×C₁₃	—	2	2	no	—
898	C₂×C₄×C₁₃	—	2	2	no	—
899	C₂×C₄×C₁₃	—	2	2	no	—
900	C₂×C₄×C₁₃	—	2	2	no	—
901	C₂×C₄×C₁₃	—	2	2	no	—
902	C₂×C₄×C₁₃	—	2	2	no	—
903	C₂×C₄×C₁₃	—	4	4	no	—
904	C₂×C₄×C₁₃	—	4	4	no	—
905	C₂×C₄×C₁₃	—	4	4	no	—
906	C₂×C₄×C₁₃	—	4	4	no	—
907	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
908	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
909	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
910	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
911	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
912	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
913	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
914	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
915	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
916	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
917	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
918	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
919	C₂²⋊D₁₃	—	2	8	no	—
920	C₂²⋊D₁₃	—	2	8	no	—
921	C₂²⋊D₁₃	—	2	8	no	—
922	C₂²⋊D₁₃	—	2	8	no	—
923	C₂²⋊D₁₃	—	4	4	no	—
924	C₂²⋊D₁₃	—	4	4	no	—
925	C₂²⋊D₁₃	—	4	4	no	—
926	C₂²⋊D₁₃	—	4	4	no	—
927	C₂²⋊D₁₃	—	4	4	no	—
928	C₂²⋊D₁₃	C₂×#41	1	16	yes	complemented
929	C₂×Dic₁₃	—	2	2	no	—
930	C₂×Dic₁₃	—	2	2	no	—
931	C₂×Dic₁₃	—	2	2	no	—
932	C₂×Dic₁₃	—	2	2	no	—
933	C₂×Dic₁₃	—	2	2	no	—
934	C₂×Dic₁₃	—	2	2	no	—
935	C₂×Dic₁₃	—	2	2	no	—
936	C₂×Dic₁₃	—	2	2	no	—
937	C₂×Dic₁₃	—	2	2	no	—
938	C₂×Dic₁₃	—	4	4	no	—
939	C₂×Dic₁₃	—	4	4	no	—
940	C₂×Dic₁₃	—	4	4	no	—
941	C₂×Dic₁₃	—	4	4	no	—
942	C₂×Dic₁₃	C₂×#41	1	4	yes	—
943	C₂×Dic₁₃	C₂⁵	1	2	yes	—
944	C₂×Dic₁₃	C₂⁵	1	2	yes	—
945	C₂×Dic₁₃	C₂⁵	1	2	yes	—
946	C₂×Dic₁₃	C₂⁵	1	2	yes	—
947	C₂×Dic₁₃	C₂⁵	1	2	yes	—
948	C₂×Dic₁₃	C₂⁵	1	2	yes	—
949	C₂×Dic₁₃	C₂⁵	1	2	yes	—
950	C₂×Dic₁₃	C₂⁵	1	2	yes	—
951	C₂×Dic₁₃	C₂⁵	1	2	yes	—
952	C₂×Dic₁₃	C₂⁵	1	2	yes	—
953	D₅₂	—	2	8	no	—
954	D₅₂	—	2	8	no	—
955	D₅₂	—	2	8	no	—
956	D₅₂	—	2	8	no	—
957	D₅₂	—	2	8	no	—
958	D₅₂	—	2	8	no	—
959	D₅₂	—	4	4	no	—
960	D₅₂	—	4	4	no	—
961	D₅₂	—	4	4	no	—
962	D₅₂	—	4	4	no	—
963	D₅₂	—	4	4	no	—
964	C₄×D₁₃	—	2	8	no	—
965	C₄×D₁₃	—	2	8	no	—
966	C₄×D₁₃	—	2	8	no	—
967	C₄×D₁₃	—	2	8	no	—
968	C₄×D₁₃	—	2	8	no	—
969	C₄×D₁₃	—	2	8	no	—
970	C₄×D₁₃	—	2	8	no	—
971	C₄×D₁₃	—	4	4	no	—
972	C₄×D₁₃	—	4	4	no	—
973	C₄×D₁₃	—	4	4	no	—
974	C₄×D₁₃	—	4	4	no	—
975	C₄×D₁₃	—	4	4	no	—
976	C₄×D₁₃	—	4	4	no	—
977	C₄×D₁₃	—	4	4	no	—
978	C₄×D₁₃	—	4	4	no	—
979	C₄×D₁₃	—	4	4	no	—
980	C₄×D₁₃	—	4	4	no	—
981	C₄×D₁₃	—	4	4	no	—
982	Dic₂₆	—	2	8	no	—
983	Dic₂₆	—	4	4	no	—
984	Dic₂₆	—	4	4	no	—
985	C₂²×#41	—	13	1	no	—
986	C₂²×#41	—	13	1	no	—
987	C₂²×#41	—	13	1	no	—
988	C₂³×D₄	—	13	1	no	—
989	C₂³×D₄	—	13	1	no	—
990	C₂³×D₄	—	13	1	no	—
991	C₂³×D₄	—	13	1	no	—
992	C₂⁴×C₄	—	13	1	no	—
993	C₂⁴×C₄	—	13	1	no	—
994	#559	—	13	16	no	—
995	#554	—	13	16	no	—
996	#553	—	13	16	no	—
997	#553	—	13	16	no	—
998	#553	—	13	16	no	—
999	#552	—	13	16	no	—
1000	#551	—	13	16	no	—
1001	#551	—	13	16	no	—
1002	#551	—	13	16	no	—
1003	#551	—	13	16	no	—
1004	#547	—	13	16	no	—
1005	#546	—	13	16	no	—
1006	#546	—	13	16	no	—
1007	#546	—	13	16	no	—
1008	#546	—	13	16	no	—
1009	D₄²	—	13	16	no	—
1010	#542	—	13	16	no	—
1011	#540	—	13	16	no	—
1012	#539	—	13	16	no	—
1013	#539	C₂×D₁₃	1	16	yes	complemented
1014	#538	—	13	16	no	—
1015	#538	—	13	16	no	—
1016	C₂×C₄⋊Q₈	—	13	1	no	—
1017	C₂×#127	—	13	1	no	—
1018	#529	—	13	16	no	—
1019	#529	—	13	16	no	—
1020	C₂×#126	—	13	1	no	—
1021	C₂×#126	—	13	1	no	—
1022	C₂×#126	—	13	1	no	—
1023	C₂×#126	—	13	1	no	—
1024	C₂×#126	—	13	1	no	—
1025	C₂×#126	—	13	1	no	—
1026	C₂×#126	—	13	1	no	—
1027	C₂×#126	—	13	1	no	—
1028	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
1029	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
1030	C₂×#125	—	13	1	no	—
1031	C₂×#125	—	13	1	no	—
1032	C₂×#125	—	13	1	no	—
1033	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
1034	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
1035	C₂×#124	—	13	1	no	—
1036	C₂×#124	—	13	1	no	—
1037	C₂×#124	—	13	1	no	—
1038	C₂×#124	—	13	1	no	—
1039	C₂×#124	—	13	1	no	—
1040	C₂×#124	—	13	1	no	—
1041	C₂×#124	—	13	1	no	—
1042	#525	—	13	16	no	—
1043	#525	—	13	16	no	—
1044	C₂×#123	—	13	1	no	—
1045	C₂×#123	—	13	1	no	—
1046	C₂×#123	—	13	16	no	—
1047	C₂×#123	—	13	1	no	—
1048	C₂×#123	—	13	1	no	—
1049	C₂×#123	—	13	1	no	—
1050	C₂×#123	—	13	1	no	—
1051	C₂×#123	—	13	1	no	—
1052	C₂×#123	—	13	1	no	—
1053	C₂×#123	—	13	1	no	—
1054	C₂×#123	—	13	1	no	—
1055	C₂×#123	—	13	1	no	—
1056	C₂×#123	—	13	1	no	—
1057	C₂×#123	—	13	1	no	—
1058	C₂×#123	—	13	1	no	—
1059	C₂×#123	—	13	1	no	—
1060	C₂×#123	—	13	1	no	—
1061	C₂×#123	—	13	16	no	—
1062	C₂×#123	—	13	1	no	—
1063	C₂×#123	—	13	1	no	—
1064	C₂×#123	—	13	1	no	—
1065	C₂×#123	—	13	1	no	—
1066	C₂×#123	—	13	1	no	—
1067	C₂×#123	—	13	1	no	—
1068	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
1070	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
1071	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
1072	C₂×C₂²⋊Q₈	—	13	1	no	—
1073	C₂×C₂²⋊Q₈	—	13	1	no	—
1074	C₂×C₂²⋊Q₈	—	13	1	no	—
1075	C₂×C₂²⋊Q₈	—	13	1	no	—
1076	C₂×C₂²⋊Q₈	—	13	1	no	—
1077	C₂×C₂²⋊Q₈	—	13	1	no	—
1078	C₂×C₂²⋊Q₈	—	13	1	no	—
1079	C₂×C₂²⋊Q₈	—	13	1	no	—
1080	C₂×C₂²⋊Q₈	—	13	1	no	—
1081	C₂×C₂²⋊Q₈	—	13	1	no	—
1082	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1083	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1084	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1085	C₂×#121	—	13	1	no	—
1086	C₂×#121	—	13	1	no	—
1087	C₂×#121	—	13	1	no	—
1088	C₂×#121	—	13	1	no	—
1089	C₂×#121	—	13	1	no	—
1090	C₂×#121	—	13	1	no	—
1091	C₂×#121	—	13	1	no	—
1092	C₂×#121	—	13	1	no	—
1093	C₂×#121	—	13	1	no	—
1094	C₂×#121	—	13	1	no	—
1095	C₂×#121	—	13	1	no	—
1096	C₂×#121	—	13	1	no	—
1097	C₂×#121	—	13	1	no	—
1098	C₂×#121	—	13	1	no	—
1099	C₂×#121	—	13	1	no	—
1100	C₂×#121	—	13	1	no	—
1101	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
1102	C₂×#120	—	13	1	no	—
1103	C₂×#120	—	13	1	no	—
1104	C₂×#120	—	13	1	no	—
1105	C₂×#120	—	13	1	no	—
1106	C₂×#120	—	13	1	no	—
1107	C₂×#120	—	13	1	no	—
1108	C₂×#120	—	13	1	no	—
1109	C₂×#120	—	13	1	no	—
1110	#520	—	13	16	no	—
1111	#518	—	13	16	no	—
1112	C₂×C₄×Q₈	—	13	1	no	—
1113	C₂×C₄×Q₈	—	13	1	no	—
1114	C₂×C₄×Q₈	—	13	1	no	—
1115	C₂×C₄×D₄	—	13	1	no	—
1116	C₂×C₄×D₄	—	13	1	no	—
1117	C₂×C₄×D₄	—	13	1	no	—
1118	C₂×C₄×D₄	—	13	1	no	—
1119	C₂×C₄×D₄	—	13	1	no	—
1120	C₂×C₄×D₄	—	13	1	no	—
1121	C₂×C₄×D₄	—	13	1	no	—
1122	C₂×C₄×D₄	—	13	1	no	—
1123	C₂×C₄×D₄	—	13	1	no	—
1124	C₂×C₄×D₄	—	13	16	no	—
1125	C₂×C₄×D₄	—	13	1	no	—
1126	C₂×C₄×D₄	—	13	1	no	—
1127	C₂×C₄×D₄	—	13	1	no	—
1128	C₂×C₄×D₄	—	13	1	no	—
1129	C₂×C₄×D₄	—	13	1	no	—
1130	C₂×C₄×D₄	—	13	1	no	—
1131	C₂×C₄×D₄	—	13	1	no	—
1132	C₂×C₄×D₄	—	13	1	no	—
1133	C₂×C₄×D₄	—	13	1	no	—
1134	C₂×C₄×D₄	—	13	1	no	—
1135	C₂×C₄×D₄	—	13	1	no	—
1136	C₂×C₄×D₄	—	13	1	no	—
1137	C₂×C₄×D₄	—	13	1	no	—
1138	C₂×C₄×D₄	—	13	1	no	—
1139	C₂×C₄×D₄	—	13	1	no	—
1140	C₂×C₄×D₄	—	13	1	no	—
1141	C₂×C₄×D₄	—	13	1	no	—
1142	C₂×C₄×D₄	—	13	1	no	—
1143	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1144	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1145	C₂×#117	—	13	1	no	—
1146	C₂×#117	—	13	1	no	—
1147	C₂×#117	—	13	1	no	—
1148	C₂×#117	—	13	1	no	—
1149	C₂×#117	—	13	1	no	—
1150	C₂×#117	—	13	1	no	—
1151	C₂×#117	—	13	1	no	—
1152	C₂×#117	—	13	1	no	—
1153	C₂×#117	—	13	1	no	—
1154	C₂²×C₄⋊C₄	—	13	1	no	—
1155	C₂²×C₄⋊C₄	—	13	1	no	—
1156	C₂²×C₄⋊C₄	—	13	1	no	—
1157	C₂²×C₄⋊C₄	—	13	1	no	—
1158	C₂²×C₄⋊C₄	—	13	1	no	—
1159	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1160	C₂²×C₂²⋊C₄	—	13	1	no	—
1161	C₂²×C₂²⋊C₄	—	13	1	no	—
1162	C₂²×C₂²⋊C₄	—	13	1	no	—
1163	C₂²×C₂²⋊C₄	—	13	1	no	—
1164	C₂²×C₂²⋊C₄	—	13	1	no	—
1165	C₂²×C₂²⋊C₄	—	13	1	no	—
1166	C₂²×C₂²⋊C₄	—	13	1	no	—
1167	C₂²×C₂²⋊C₄	—	13	1	no	—
1168	C₂²×C₂²⋊C₄	—	13	1	no	—
1169	C₂²×C₂²⋊C₄	—	13	1	no	—
1170	C₂²×C₄²	—	13	1	no	—
1171	C₂²×C₁₃	—	2	2	no	—
1172	C₂²×C₁₃	—	2	2	no	—
1173	C₂²×C₁₃	—	2	8	no	—
1174	C₂²×C₁₃	—	2	2	no	—
1175	C₂²×C₁₃	—	2	2	no	—
1176	C₂²×C₁₃	—	2	2	no	—
1177	C₂²×C₁₃	—	2	2	no	—
1178	C₂²×C₁₃	—	2	2	no	—
1179	C₂²×C₁₃	—	2	2	no	—
1180	C₂²×C₁₃	—	4	4	no	—
1181	C₂²×C₁₃	—	4	4	no	—
1182	C₂²×C₁₃	C₂²×#41	1	4	yes	—
1183	C₂²×C₁₃	C₂²×#41	1	2	yes	—
1184	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1185	C₂²×C₁₃	#585	1	2	yes	—
1186	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1187	C₂×D₁₃	—	2	2	no	—
1188	C₂×D₁₃	—	2	2	no	—
1189	C₂×D₁₃	—	2	2	no	—
1190	C₂×D₁₃	—	2	2	no	—
1191	C₂×D₁₃	—	2	8	no	—
1192	C₂×D₁₃	—	2	8	no	—
1193	C₂×D₁₃	—	2	2	no	—
1194	C₂×D₁₃	—	2	2	no	—
1195	C₂×D₁₃	—	2	2	no	—
1196	C₂×D₁₃	—	2	2	no	—
1197	C₂×D₁₃	—	2	2	no	—
1198	C₂×D₁₃	—	2	2	no	—
1199	C₂×D₁₃	—	2	2	no	—
1200	C₂×D₁₃	—	2	2	no	—
1201	C₂×D₁₃	—	2	2	no	—
1202	C₂×D₁₃	—	2	2	no	—
1203	C₂×D₁₃	—	2	2	no	—
1204	C₂×D₁₃	—	2	2	no	—
1205	C₂×D₁₃	—	4	16	no	—
1206	C₂×D₁₃	—	4	16	no	—
1207	C₂×D₁₃	—	4	4	no	—
1208	C₂×D₁₃	—	4	4	no	—
1209	C₂×D₁₃	—	4	4	no	—
1210	C₂×D₁₃	—	4	4	no	—
1211	C₂×D₁₃	—	8	8	no	—
1212	C₂×D₁₃	—	8	8	no	—
1213	C₂×D₁₃	C₂²×#41	1	4	yes	—
1214	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
1215	C₄×C₁₃	—	2	2	no	—
1216	C₄×C₁₃	—	2	2	no	—
1217	C₄×C₁₃	—	2	2	no	—
1218	C₄×C₁₃	—	2	2	no	—
1219	C₄×C₁₃	—	2	2	no	—
1220	C₄×C₁₃	—	2	2	no	—
1221	C₄×C₁₃	—	2	2	no	—
1222	C₄×C₁₃	—	2	2	no	—
1223	C₄×C₁₃	—	2	2	no	—
1224	C₄×C₁₃	—	2	2	no	—
1225	C₄×C₁₃	—	2	2	no	—
1226	C₄×C₁₃	—	2	2	no	—
1227	Dic₁₃	—	2	2	no	—
1228	Dic₁₃	—	2	2	no	—
1229	Dic₁₃	—	2	2	no	—
1230	Dic₁₃	—	2	2	no	—
1231	Dic₁₃	—	2	2	no	—
1232	Dic₁₃	—	2	2	no	—
1233	Dic₁₃	—	2	2	no	—
1234	Dic₁₃	—	2	2	no	—
1235	Dic₁₃	—	2	2	no	—
1236	Dic₁₃	C₂²×#41	1	4	yes	—
1237	C₂⁵	—	13	1	no	—
1238	C₂⁵	—	13	1	no	—
1239	C₂⁵	—	13	1	no	—
1240	C₂⁵	—	13	1	no	—
1241	C₂×#41	—	13	8	no	—
1242	C₂×#41	—	13	8	no	—
1243	C₂×#41	—	13	8	no	—
1244	C₂×#41	—	26	8	no	—
1245	C₂×#41	—	52	4	no	—
1246	C₂×#41	—	52	4	no	—
1247	C₂²×Q₈	—	13	1	no	—
1248	C₂²×Q₈	—	13	1	no	—
1249	C₂²×Q₈	—	13	1	no	—
1250	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1251	C₂²×D₄	—	13	1	no	—
1252	C₂²×D₄	—	13	1	no	—
1253	C₂²×D₄	—	13	1	no	—
1254	C₂²×D₄	—	13	1	no	—
1255	C₂²×D₄	—	13	1	no	—
1256	C₂²×D₄	—	13	1	no	—
1257	C₂²×D₄	—	13	1	no	—
1258	C₂²×D₄	—	13	1	no	—
1259	C₂²×D₄	—	13	1	no	—
1260	C₂²×D₄	—	13	1	no	—
1261	C₂²×D₄	—	13	8	no	—
1262	C₂²×D₄	—	13	8	no	—
1263	C₂²×D₄	—	13	8	no	—
1264	C₂²×D₄	—	13	1	no	—
1265	C₂²×D₄	—	13	1	no	—
1266	C₂²×D₄	—	13	1	no	—
1267	C₂²×D₄	—	13	1	no	—
1268	C₂²×D₄	—	13	1	no	—
1269	C₂²×D₄	—	13	1	no	—
1270	C₂²×D₄	—	13	1	no	—
1271	C₂²×D₄	—	13	1	no	—
1272	C₂²×D₄	—	13	1	no	—
1273	C₂²×D₄	—	13	1	no	—
1274	C₂²×D₄	—	13	1	no	—
1275	C₂²×D₄	—	13	8	no	—
1276	C₂²×D₄	—	26	8	no	—
1277	C₂²×D₄	—	26	8	no	—
1278	C₂²×D₄	—	52	4	no	—
1279	C₂²×D₄	—	52	4	no	—
1280	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1281	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1282	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1283	C₂³×C₄	—	13	1	no	—
1284	C₂³×C₄	—	13	1	no	—
1285	C₂³×C₄	—	13	1	no	—
1286	C₂³×C₄	—	13	1	no	—
1287	C₂³×C₄	—	13	1	no	—
1288	C₂³×C₄	—	13	1	no	—
1289	C₂³×C₄	—	13	1	no	—
1290	C₂³×C₄	—	13	1	no	—
1291	C₂³×C₄	—	13	1	no	—
1292	C₂³×C₄	—	13	1	no	—
1293	C₂³×C₄	—	13	1	no	—
1294	C₂³×C₄	—	13	1	no	—
1295	C₂³×C₄	—	13	1	no	—
1296	C₂³×C₄	—	13	1	no	—
1297	C₂³×C₄	—	13	1	no	—
1298	C₂³×C₄	—	13	1	no	—
1299	C₂³×C₄	—	13	1	no	—
1300	C₂³×C₄	—	13	1	no	—
1301	C₂³×C₄	—	13	1	no	—
1302	C₂³×C₄	—	13	1	no	—
1303	C₂³×C₄	—	13	1	no	—
1304	C₂³×C₄	—	13	1	no	—
1305	C₂³×C₄	—	13	8	no	—
1306	C₂³×C₄	—	13	8	no	—
1307	C₂³×C₄	—	52	4	no	—
1308	C₂³×C₄	—	52	4	no	—
1309	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1310	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1311	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1312	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1313	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1314	C₄⋊Q₈	—	13	8	no	—
1315	#127	—	13	8	no	—
1316	#126	—	13	8	no	—
1317	#126	—	13	8	no	—
1318	#126	—	13	8	no	—
1319	#126	—	13	8	no	—
1320	#126	—	13	8	no	—
1321	#126	—	13	8	no	—
1322	#126	—	13	8	no	—
1323	#126	—	13	8	no	—
1324	#126	C₂²×D₁₃	1	8	yes	complemented
1325	#126	C₂²×D₁₃	1	8	yes	complemented
1326	#125	—	13	8	no	—
1327	#125	—	13	8	no	—
1328	#125	—	13	8	no	—
1329	#125	C₂²×D₁₃	1	8	yes	complemented
1330	#125	C₂²×D₁₃	1	8	yes	complemented
1331	#124	—	13	8	no	—
1332	#124	—	13	8	no	—
1333	#124	—	13	8	no	—
1334	#124	—	13	8	no	—
1335	#124	—	13	8	no	—
1336	#124	—	13	8	no	—
1337	#124	—	13	8	no	—
1338	#123	—	13	8	no	—
1339	#123	—	13	8	no	—
1340	#123	—	13	8	no	—
1341	#123	—	13	8	no	—
1342	#123	—	13	8	no	—
1343	#123	—	13	8	no	—
1344	#123	—	13	8	no	—
1345	#123	—	13	8	no	—
1346	#123	—	13	8	no	—
1347	#123	—	13	8	no	—
1348	#123	—	13	8	no	—
1349	#123	—	13	8	no	—
1350	#123	—	13	8	no	—
1351	#123	—	13	8	no	—
1352	#123	—	13	8	no	—
1353	#123	—	13	8	no	—
1354	#123	—	13	8	no	—
1355	#123	—	13	8	no	—
1356	#123	—	13	8	no	—
1357	#123	—	13	8	no	—
1358	#123	—	13	8	no	—
1359	#123	—	13	8	no	—
1360	#123	C₂²×D₁₃	1	8	yes	complemented
1361	#123	C₂²×D₁₃	1	8	yes	complemented
1362	#123	C₂²×D₁₃	1	8	yes	complemented
1363	#123	C₂²×D₁₃	1	8	yes	complemented
1364	C₂²⋊Q₈	—	13	8	no	—
1365	C₂²⋊Q₈	—	13	8	no	—
1366	C₂²⋊Q₈	—	13	8	no	—
1367	C₂²⋊Q₈	—	13	8	no	—
1368	C₂²⋊Q₈	—	13	8	no	—
1369	C₂²⋊Q₈	—	13	8	no	—
1370	C₂²⋊Q₈	—	13	8	no	—
1371	C₂²⋊Q₈	—	13	8	no	—
1372	C₂²⋊Q₈	—	13	8	no	—
1373	C₂²⋊Q₈	—	13	8	no	—
1374	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1375	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1376	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1377	#121	—	13	8	no	—
1378	#121	—	13	8	no	—
1379	#121	—	13	8	no	—
1380	#121	—	13	8	no	—
1381	#121	—	13	8	no	—
1382	#121	—	13	8	no	—
1383	#121	—	13	8	no	—
1384	#121	—	13	8	no	—
1385	#121	—	13	8	no	—
1386	#121	—	13	8	no	—
1387	#121	—	13	8	no	—
1388	#121	—	13	8	no	—
1389	#121	—	13	8	no	—
1390	#121	—	13	8	no	—
1391	#121	—	13	8	no	—
1392	#121	—	13	8	no	—
1393	#121	C₂²×D₁₃	1	8	yes	—
1394	#120	—	13	8	no	—
1395	#120	—	13	8	no	—
1396	#120	—	13	8	no	—
1397	#120	—	13	8	no	—
1398	#120	—	13	8	no	—
1399	#120	—	13	8	no	—
1400	#120	—	13	8	no	—
1401	#120	—	13	8	no	—
1402	C₄×Q₈	—	13	8	no	—
1403	C₄×Q₈	—	13	8	no	—
1404	C₄×Q₈	—	13	8	no	—
1405	C₄×D₄	—	13	8	no	—
1406	C₄×D₄	—	13	8	no	—
1407	C₄×D₄	—	13	8	no	—
1408	C₄×D₄	—	13	8	no	—
1409	C₄×D₄	—	13	8	no	—
1410	C₄×D₄	—	13	8	no	—
1411	C₄×D₄	—	13	8	no	—
1412	C₄×D₄	—	13	8	no	—
1413	C₄×D₄	—	13	8	no	—
1414	C₄×D₄	—	13	8	no	—
1415	C₄×D₄	—	13	8	no	—
1416	C₄×D₄	—	13	8	no	—
1417	C₄×D₄	—	13	8	no	—
1418	C₄×D₄	—	13	8	no	—
1419	C₄×D₄	—	13	8	no	—
1420	C₄×D₄	—	13	8	no	—
1421	C₄×D₄	—	13	8	no	—
1422	C₄×D₄	—	13	8	no	—
1423	C₄×D₄	—	13	8	no	—
1424	C₄×D₄	—	13	8	no	—
1425	C₄×D₄	—	13	8	no	—
1426	C₄×D₄	—	13	8	no	—
1427	C₄×D₄	—	13	8	no	—
1428	C₄×D₄	—	13	8	no	—
1429	C₄×D₄	—	13	8	no	—
1430	C₄×D₄	—	13	8	no	—
1431	C₄×D₄	—	13	8	no	—
1432	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1433	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1434	#117	—	13	8	no	—
1435	#117	—	13	8	no	—
1436	#117	—	13	8	no	—
1437	#117	—	13	8	no	—
1438	#117	—	13	8	no	—
1439	#117	—	13	8	no	—
1440	#117	—	13	8	no	—
1441	#117	—	13	8	no	—
1442	#117	—	13	8	no	—
1443	C₂×C₄⋊C₄	—	13	1	no	—
1444	C₂×C₄⋊C₄	—	13	1	no	—
1445	C₂×C₄⋊C₄	—	13	1	no	—
1446	C₂×C₄⋊C₄	—	13	1	no	—
1447	C₂×C₄⋊C₄	—	13	1	no	—
1448	C₂×C₄⋊C₄	—	13	1	no	—
1449	C₂×C₄⋊C₄	—	13	1	no	—
1450	C₂×C₄⋊C₄	—	13	1	no	—
1451	C₂×C₄⋊C₄	—	13	1	no	—
1452	C₂×C₄⋊C₄	—	13	1	no	—
1453	C₂×C₄⋊C₄	—	13	1	no	—
1454	C₂×C₄⋊C₄	—	13	1	no	—
1455	C₂×C₄⋊C₄	—	13	1	no	—
1456	C₂×C₄⋊C₄	—	13	8	no	—
1457	C₂×C₄⋊C₄	—	13	1	no	—
1458	C₂×C₄⋊C₄	—	13	1	no	—
1459	C₂×C₄⋊C₄	—	13	1	no	—
1460	C₂×C₄⋊C₄	—	13	1	no	—
1461	C₂×C₄⋊C₄	—	13	1	no	—
1462	C₂×C₄⋊C₄	—	13	1	no	—
1463	C₂×C₄⋊C₄	—	13	1	no	—
1464	C₂×C₄⋊C₄	—	13	1	no	—
1465	C₂×C₄⋊C₄	—	13	1	no	—
1466	C₂×C₄⋊C₄	—	13	8	no	—
1467	C₂×C₄⋊C₄	—	13	8	no	—
1468	C₂×C₄⋊C₄	—	13	8	no	—
1469	C₂×C₄⋊C₄	—	13	8	no	—
1470	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1471	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1472	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1473	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1474	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1475	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1476	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1477	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1478	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1479	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1480	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1481	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1482	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1483	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1484	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	complemented
1485	C₂×C₂²⋊C₄	—	13	1	no	—
1486	C₂×C₂²⋊C₄	—	13	1	no	—
1487	C₂×C₂²⋊C₄	—	13	1	no	—
1488	C₂×C₂²⋊C₄	—	13	1	no	—
1489	C₂×C₂²⋊C₄	—	13	1	no	—
1490	C₂×C₂²⋊C₄	—	13	1	no	—
1491	C₂×C₂²⋊C₄	—	13	1	no	—
1492	C₂×C₂²⋊C₄	—	13	1	no	—
1493	C₂×C₂²⋊C₄	—	13	1	no	—
1494	C₂×C₂²⋊C₄	—	13	1	no	—
1495	C₂×C₂²⋊C₄	—	13	1	no	—
1496	C₂×C₂²⋊C₄	—	13	1	no	—
1497	C₂×C₂²⋊C₄	—	13	1	no	—
1498	C₂×C₂²⋊C₄	—	13	1	no	—
1499	C₂×C₂²⋊C₄	—	13	1	no	—
1500	C₂×C₂²⋊C₄	—	13	1	no	—
1501	C₂×C₂²⋊C₄	—	13	1	no	—
1502	C₂×C₂²⋊C₄	—	13	1	no	—
1503	C₂×C₂²⋊C₄	—	13	1	no	—
1504	C₂×C₂²⋊C₄	—	13	1	no	—
1505	C₂×C₂²⋊C₄	—	13	1	no	—
1506	C₂×C₂²⋊C₄	—	13	1	no	—
1507	C₂×C₂²⋊C₄	—	13	8	no	—
1508	C₂×C₂²⋊C₄	—	13	8	no	—
1509	C₂×C₂²⋊C₄	—	13	1	no	—
1510	C₂×C₂²⋊C₄	—	13	1	no	—
1511	C₂×C₂²⋊C₄	—	13	1	no	—
1512	C₂×C₂²⋊C₄	—	13	1	no	—
1513	C₂×C₂²⋊C₄	—	13	1	no	—
1514	C₂×C₂²⋊C₄	—	13	8	no	—
1515	C₂×C₂²⋊C₄	—	13	8	no	—
1516	C₂×C₂²⋊C₄	—	13	1	no	—
1517	C₂×C₂²⋊C₄	—	13	1	no	—
1518	C₂×C₂²⋊C₄	—	13	1	no	—
1519	C₂×C₂²⋊C₄	—	13	1	no	—
1520	C₂×C₂²⋊C₄	—	13	1	no	—
1521	C₂×C₂²⋊C₄	—	13	1	no	—
1522	C₂×C₂²⋊C₄	—	13	1	no	—
1523	C₂×C₂²⋊C₄	—	13	1	no	—
1524	C₂×C₂²⋊C₄	—	13	1	no	—
1525	C₂×C₂²⋊C₄	—	13	1	no	—
1526	C₂×C₂²⋊C₄	—	13	1	no	—
1527	C₂×C₂²⋊C₄	—	13	8	no	—
1528	C₂×C₂²⋊C₄	—	13	8	no	—
1529	C₂×C₂²⋊C₄	—	13	8	no	—
1530	C₂×C₂²⋊C₄	—	13	8	no	—
1531	C₂×C₂²⋊C₄	—	13	8	no	—
1532	C₂×C₂²⋊C₄	—	13	8	no	—
1533	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1534	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1535	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1536	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1537	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1538	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1539	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1540	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1541	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1542	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1543	C₂×C₄²	—	13	1	no	—
1544	C₂×C₄²	—	13	1	no	—
1545	C₂×C₄²	—	13	1	no	—
1546	C₂×C₄²	—	13	1	no	—
1547	C₂×C₄²	—	13	1	no	—
1548	C₂×C₄²	—	13	1	no	—
1549	C₂×C₄²	—	13	1	no	—
1550	C₂×C₄²	—	13	1	no	—
1551	C₂×C₄²	—	13	1	no	—
1552	C₂×C₄²	—	13	1	no	—
1553	C₂×C₄²	—	13	8	no	—
1554	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1555	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1556	C₂×C₁₃	—	2	4	no	—
1557	C₂×C₁₃	—	4	2	no	—
1558	C₂×C₁₃	—	4	2	no	—
1559	C₂×C₁₃	#3513	1	4	yes	complemented
1560	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1561	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1562	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1563	D₁₃	—	2	4	no	—
1564	D₁₃	—	2	4	no	—
1565	D₁₃	—	4	2	no	—
1566	D₁₃	—	4	2	no	—
1567	D₁₃	—	4	2	no	—
1568	D₁₃	—	4	2	no	—
1569	C₂⁴	—	13	1	no	—
1570	C₂⁴	—	13	1	no	—
1571	C₂⁴	—	13	1	no	—
1572	C₂⁴	—	13	1	no	—
1573	C₂⁴	—	13	1	no	—
1574	C₂⁴	—	13	1	no	—
1575	C₂⁴	—	13	4	no	—
1576	C₂⁴	—	13	4	no	—
1577	C₂⁴	—	13	4	no	—
1578	C₂⁴	—	13	4	no	—
1579	C₂⁴	—	26	4	no	—
1580	C₂⁴	—	26	4	no	—
1581	C₂⁴	—	26	4	no	—
1582	C₂⁴	—	26	4	no	—
1583	C₂⁴	—	26	4	no	—
1584	C₂⁴	—	26	4	no	—
1585	C₂⁴	—	52	2	no	—
1586	C₂⁴	—	52	2	no	—
1587	C₂⁴	—	52	2	no	—
1588	C₂⁴	—	52	2	no	—
1589	C₂⁴	—	52	2	no	—
1590	C₂⁴	—	52	2	no	—
1591	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1592	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1593	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1594	#41	—	26	32	no	—
1595	#41	—	52	16	no	—
1596	#41	—	52	16	no	—
1597	C₂×Q₈	—	4	2	no	—
1598	C₂×Q₈	—	13	4	no	—
1599	C₂×Q₈	—	13	4	no	—
1600	C₂×Q₈	—	13	4	no	—
1601	C₂×Q₈	—	26	4	no	—
1602	C₂×Q₈	—	52	2	no	—
1603	C₂×Q₈	—	52	2	no	—
1604	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1605	C₂×D₄	—	2	4	no	—
1606	C₂×D₄	—	2	4	no	—
1607	C₂×D₄	—	4	2	no	—
1608	C₂×D₄	—	13	8	no	—
1609	C₂×D₄	—	13	4	no	—
1610	C₂×D₄	—	13	4	no	—
1611	C₂×D₄	—	13	4	no	—
1612	C₂×D₄	—	13	4	no	—
1613	C₂×D₄	—	13	4	no	—
1614	C₂×D₄	—	13	4	no	—
1615	C₂×D₄	—	13	4	no	—
1616	C₂×D₄	—	13	4	no	—
1617	C₂×D₄	—	13	4	no	—
1618	C₂×D₄	—	13	4	no	—
1619	C₂×D₄	—	13	4	no	—
1620	C₂×D₄	—	13	4	no	—
1621	C₂×D₄	—	13	4	no	—
1622	C₂×D₄	—	13	4	no	—
1623	C₂×D₄	—	13	4	no	—
1624	C₂×D₄	—	13	4	no	—
1625	C₂×D₄	—	13	4	no	—
1626	C₂×D₄	—	13	4	no	—
1627	C₂×D₄	—	13	4	no	—
1628	C₂×D₄	—	13	4	no	—
1629	C₂×D₄	—	13	4	no	—
1630	C₂×D₄	—	26	4	no	—
1631	C₂×D₄	—	26	4	no	—
1632	C₂×D₄	—	26	4	no	—
1633	C₂×D₄	—	26	4	no	—
1634	C₂×D₄	—	26	4	no	—
1635	C₂×D₄	—	26	4	no	—
1636	C₂×D₄	—	26	4	no	—
1637	C₂×D₄	—	26	4	no	—
1638	C₂×D₄	—	26	32	no	—
1639	C₂×D₄	—	26	32	no	—
1640	C₂×D₄	—	26	4	no	—
1641	C₂×D₄	—	26	4	no	—
1642	C₂×D₄	—	52	2	no	—
1643	C₂×D₄	—	52	2	no	—
1644	C₂×D₄	—	52	2	no	—
1645	C₂×D₄	—	52	2	no	—
1646	C₂×D₄	—	52	2	no	—
1647	C₂×D₄	—	52	16	no	—
1648	C₂×D₄	—	52	2	no	—
1649	C₂×D₄	—	52	2	no	—
1650	C₂×D₄	—	52	2	no	—
1651	C₂×D₄	—	52	2	no	—
1652	C₂×D₄	—	52	2	no	—
1653	C₂×D₄	—	52	16	no	—
1654	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1655	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1656	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1657	C₂²×C₄	—	2	4	no	—
1658	C₂²×C₄	—	4	2	no	—
1659	C₂²×C₄	—	4	2	no	—
1660	C₂²×C₄	—	4	2	no	—
1661	C₂²×C₄	—	4	2	no	—
1662	C₂²×C₄	—	13	1	no	—
1663	C₂²×C₄	—	13	1	no	—
1664	C₂²×C₄	—	13	1	no	—
1665	C₂²×C₄	—	13	1	no	—
1666	C₂²×C₄	—	13	1	no	—
1667	C₂²×C₄	—	13	1	no	—
1668	C₂²×C₄	—	13	1	no	—
1669	C₂²×C₄	—	13	1	no	—
1670	C₂²×C₄	—	13	1	no	—
1671	C₂²×C₄	—	13	1	no	—
1672	C₂²×C₄	—	13	4	no	—
1673	C₂²×C₄	—	13	4	no	—
1674	C₂²×C₄	—	13	4	no	—
1675	C₂²×C₄	—	13	4	no	—
1676	C₂²×C₄	—	13	4	no	—
1677	C₂²×C₄	—	13	4	no	—
1678	C₂²×C₄	—	13	4	no	—
1679	C₂²×C₄	—	13	4	no	—
1680	C₂²×C₄	—	13	4	no	—
1681	C₂²×C₄	—	13	4	no	—
1682	C₂²×C₄	—	13	4	no	—
1683	C₂²×C₄	—	13	4	no	—
1684	C₂²×C₄	—	13	4	no	—
1685	C₂²×C₄	—	13	4	no	—
1686	C₂²×C₄	—	13	4	no	—
1687	C₂²×C₄	—	13	4	no	—
1688	C₂²×C₄	—	13	4	no	—
1689	C₂²×C₄	—	13	4	no	—
1690	C₂²×C₄	—	13	4	no	—
1691	C₂²×C₄	—	13	4	no	—
1692	C₂²×C₄	—	13	4	no	—
1693	C₂²×C₄	—	13	4	no	—
1694	C₂²×C₄	—	26	4	no	—
1695	C₂²×C₄	—	26	4	no	—
1696	C₂²×C₄	—	26	4	no	—
1697	C₂²×C₄	—	26	4	no	—
1698	C₂²×C₄	—	26	4	no	—
1699	C₂²×C₄	—	26	4	no	—
1700	C₂²×C₄	—	26	4	no	—
1701	C₂²×C₄	—	52	2	no	—
1702	C₂²×C₄	—	52	2	no	—
1703	C₂²×C₄	—	52	2	no	—
1704	C₂²×C₄	—	52	2	no	—
1705	C₂²×C₄	—	52	2	no	—
1706	C₂²×C₄	—	52	2	no	—
1707	C₂²×C₄	—	52	2	no	—
1708	C₂²×C₄	—	52	2	no	—
1709	C₂²×C₄	—	52	2	no	—
1710	C₂²×C₄	—	52	2	no	—
1711	C₂²×C₄	—	52	2	no	—
1712	C₂²×C₄	—	52	16	no	—
1713	C₂²×C₄	—	52	16	no	—
1714	C₂²×C₄	—	52	2	no	—
1715	C₂²×C₄	—	52	2	no	—
1716	C₂²×C₄	—	52	2	no	—
1717	C₂²×C₄	—	52	2	no	—
1718	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1719	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1720	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1721	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1722	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1723	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1724	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1725	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1726	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1727	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1728	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1729	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1730	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1731	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1732	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1733	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1734	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1735	C₄⋊C₄	—	13	4	no	—
1736	C₄⋊C₄	—	13	4	no	—
1737	C₄⋊C₄	—	13	4	no	—
1738	C₄⋊C₄	—	13	4	no	—
1739	C₄⋊C₄	—	13	4	no	—
1740	C₄⋊C₄	—	13	4	no	—
1741	C₄⋊C₄	—	13	4	no	—
1742	C₄⋊C₄	—	13	4	no	—
1743	C₄⋊C₄	—	13	4	no	—
1744	C₄⋊C₄	—	13	4	no	—
1745	C₄⋊C₄	—	13	4	no	—
1746	C₄⋊C₄	—	13	4	no	—
1747	C₄⋊C₄	—	13	4	no	—
1748	C₄⋊C₄	—	13	4	no	—
1749	C₄⋊C₄	—	13	4	no	—
1750	C₄⋊C₄	—	13	4	no	—
1751	C₄⋊C₄	—	13	4	no	—
1752	C₄⋊C₄	—	13	4	no	—
1753	C₄⋊C₄	—	13	4	no	—
1754	C₄⋊C₄	—	13	4	no	—
1755	C₄⋊C₄	—	13	4	no	—
1756	C₄⋊C₄	—	13	4	no	—
1757	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1758	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1759	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1760	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1761	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1762	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1763	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1764	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1765	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1766	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1767	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1768	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1769	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1770	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1771	C₂²⋊C₄	—	13	4	no	—
1772	C₂²⋊C₄	—	13	4	no	—
1773	C₂²⋊C₄	—	13	4	no	—
1774	C₂²⋊C₄	—	13	4	no	—
1775	C₂²⋊C₄	—	13	4	no	—
1776	C₂²⋊C₄	—	13	4	no	—
1777	C₂²⋊C₄	—	13	4	no	—
1778	C₂²⋊C₄	—	13	4	no	—
1779	C₂²⋊C₄	—	13	4	no	—
1780	C₂²⋊C₄	—	13	4	no	—
1781	C₂²⋊C₄	—	13	4	no	—
1782	C₂²⋊C₄	—	13	4	no	—
1783	C₂²⋊C₄	—	13	4	no	—
1784	C₂²⋊C₄	—	13	4	no	—
1785	C₂²⋊C₄	—	13	4	no	—
1786	C₂²⋊C₄	—	13	4	no	—
1787	C₂²⋊C₄	—	13	4	no	—
1788	C₂²⋊C₄	—	13	4	no	—
1789	C₂²⋊C₄	—	13	4	no	—
1790	C₂²⋊C₄	—	13	4	no	—
1791	C₂²⋊C₄	—	13	4	no	—
1792	C₂²⋊C₄	—	13	4	no	—
1793	C₂²⋊C₄	—	13	4	no	—
1794	C₂²⋊C₄	—	13	4	no	—
1795	C₂²⋊C₄	—	13	4	no	—
1796	C₂²⋊C₄	—	13	4	no	—
1797	C₂²⋊C₄	—	13	4	no	—
1798	C₂²⋊C₄	—	13	4	no	—
1799	C₂²⋊C₄	—	13	4	no	—
1800	C₂²⋊C₄	—	13	4	no	—
1801	C₂²⋊C₄	—	13	4	no	—
1802	C₂²⋊C₄	—	13	4	no	—
1803	C₂²⋊C₄	—	13	4	no	—
1804	C₂²⋊C₄	—	13	4	no	—
1805	C₂²⋊C₄	—	13	4	no	—
1806	C₂²⋊C₄	—	13	4	no	—
1807	C₂²⋊C₄	—	13	4	no	—
1808	C₂²⋊C₄	—	13	4	no	—
1809	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1810	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1811	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1812	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1813	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1814	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1815	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1816	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1817	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1818	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1819	C₄²	—	13	4	no	—
1820	C₄²	—	13	4	no	—
1821	C₄²	—	13	4	no	—
1822	C₄²	—	13	4	no	—
1823	C₄²	—	13	4	no	—
1824	C₄²	—	13	4	no	—
1825	C₄²	—	13	4	no	—
1826	C₄²	—	13	4	no	—
1827	C₄²	—	13	4	no	—
1828	C₄²	—	13	4	no	—
1829	C₄²	C₂³×D₁₃	1	4	yes	—
1830	C₄²	C₂³×D₁₃	1	4	yes	—
1831	C₁₃	C₂×#3513	1	1	yes	characteristic, complemented, Sylow
1832	C₂³	—	2	2	no	—
1833	C₂³	—	2	2	no	—
1834	C₂³	—	2	2	no	—
1835	C₂³	—	2	2	no	—
1836	C₂³	—	2	2	no	—
1837	C₂³	—	2	2	no	—
1838	C₂³	—	2	2	no	—
1839	C₂³	—	2	2	no	—
1840	C₂³	—	13	4	no	—
1841	C₂³	—	13	4	no	—
1842	C₂³	—	13	2	no	—
1843	C₂³	—	13	2	no	—
1844	C₂³	—	13	2	no	—
1845	C₂³	—	13	2	no	—
1846	C₂³	—	13	2	no	—
1847	C₂³	—	13	2	no	—
1848	C₂³	—	26	8	no	—
1849	C₂³	—	26	8	no	—
1850	C₂³	—	26	8	no	—
1851	C₂³	—	26	8	no	—
1852	C₂³	—	26	2	no	—
1853	C₂³	—	26	2	no	—
1854	C₂³	—	26	2	no	—
1855	C₂³	—	26	2	no	—
1856	C₂³	—	26	2	no	—
1857	C₂³	—	26	2	no	—
1858	C₂³	—	26	8	no	—
1859	C₂³	—	26	2	no	—
1860	C₂³	—	26	2	no	—
1861	C₂³	—	26	2	no	—
1862	C₂³	—	26	2	no	—
1863	C₂³	—	26	2	no	—
1864	C₂³	—	26	2	no	—
1865	C₂³	—	26	2	no	—
1866	C₂³	—	26	2	no	—
1867	C₂³	—	26	2	no	—
1868	C₂³	—	26	2	no	—
1869	C₂³	—	26	8	no	—
1870	C₂³	—	52	4	no	—
1871	C₂³	—	52	4	no	—
1872	C₂³	—	52	4	no	—
1873	C₂³	—	52	4	no	—
1874	C₂³	—	52	4	no	—
1875	C₂³	—	52	4	no	—
1876	C₂³	—	52	16	no	—
1877	C₂³	—	52	16	no	—
1878	C₂³	—	104	8	no	—
1879	C₂³	—	104	8	no	—
1880	C₂³	#41×D₁₃	1	4	yes	—
1881	C₂³	C₂⁴×D₁₃	1	2	yes	—
1882	C₂³	C₂⁴×D₁₃	1	2	yes	—
1883	C₂³	C₂⁴×D₁₃	1	2	yes	—
1884	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1885	Q₈	—	4	4	no	—
1886	Q₈	—	26	8	no	—
1887	Q₈	—	52	4	no	—
1888	Q₈	—	52	4	no	—
1889	D₄	—	2	8	no	—
1890	D₄	—	2	8	no	—
1891	D₄	—	4	4	no	—
1892	D₄	—	13	16	no	—
1893	D₄	—	26	8	no	—
1894	D₄	—	26	8	no	—
1895	D₄	—	26	8	no	—
1896	D₄	—	26	8	no	—
1897	D₄	—	26	8	no	—
1898	D₄	—	26	8	no	—
1899	D₄	—	26	8	no	—
1900	D₄	—	26	8	no	—
1901	D₄	—	26	8	no	—
1902	D₄	—	26	8	no	—
1903	D₄	—	52	4	no	—
1904	D₄	—	52	4	no	—
1905	D₄	—	52	4	no	—
1906	D₄	—	52	4	no	—
1907	D₄	—	52	4	no	—
1908	D₄	—	52	4	no	—
1909	D₄	—	52	4	no	—
1910	D₄	—	52	4	no	—
1911	D₄	—	52	4	no	—
1912	D₄	—	52	4	no	—
1913	C₂×C₄	—	2	2	no	—
1914	C₂×C₄	—	2	2	no	—
1915	C₂×C₄	—	2	8	no	—
1916	C₂×C₄	—	2	2	no	—
1917	C₂×C₄	—	2	2	no	—
1918	C₂×C₄	—	2	2	no	—
1919	C₂×C₄	—	2	2	no	—
1920	C₂×C₄	—	2	2	no	—
1921	C₂×C₄	—	2	2	no	—
1922	C₂×C₄	—	2	2	no	—
1923	C₂×C₄	—	2	2	no	—
1924	C₂×C₄	—	2	2	no	—
1925	C₂×C₄	—	2	2	no	—
1926	C₂×C₄	—	4	4	no	—
1927	C₂×C₄	—	4	4	no	—
1928	C₂×C₄	—	4	4	no	—
1929	C₂×C₄	—	4	4	no	—
1930	C₂×C₄	—	13	4	no	—
1931	C₂×C₄	—	13	2	no	—
1932	C₂×C₄	—	13	2	no	—
1933	C₂×C₄	—	13	2	no	—
1934	C₂×C₄	—	13	2	no	—
1935	C₂×C₄	—	13	2	no	—
1936	C₂×C₄	—	13	2	no	—
1937	C₂×C₄	—	13	2	no	—
1938	C₂×C₄	—	13	2	no	—
1939	C₂×C₄	—	13	2	no	—
1940	C₂×C₄	—	13	2	no	—
1941	C₂×C₄	—	26	8	no	—
1942	C₂×C₄	—	26	8	no	—
1943	C₂×C₄	—	26	8	no	—
1944	C₂×C₄	—	26	8	no	—
1945	C₂×C₄	—	26	8	no	—
1946	C₂×C₄	—	26	8	no	—
1947	C₂×C₄	—	26	8	no	—
1948	C₂×C₄	—	26	2	no	—
1949	C₂×C₄	—	26	2	no	—
1950	C₂×C₄	—	26	2	no	—
1951	C₂×C₄	—	26	2	no	—
1952	C₂×C₄	—	26	2	no	—
1953	C₂×C₄	—	26	2	no	—
1954	C₂×C₄	—	26	2	no	—
1955	C₂×C₄	—	26	2	no	—
1956	C₂×C₄	—	26	2	no	—
1957	C₂×C₄	—	52	4	no	—
1958	C₂×C₄	—	52	4	no	—
1959	C₂×C₄	—	52	4	no	—
1960	C₂×C₄	—	52	4	no	—
1961	C₂×C₄	—	52	4	no	—
1962	C₂×C₄	—	52	4	no	—
1963	C₂×C₄	—	52	4	no	—
1964	C₂×C₄	—	52	4	no	—
1965	C₂×C₄	—	52	4	no	—
1966	C₂×C₄	—	52	4	no	—
1967	C₂×C₄	—	52	4	no	—
1968	C₂×C₄	—	52	4	no	—
1969	C₂×C₄	—	52	4	no	—
1970	C₂×C₄	—	52	4	no	—
1971	C₂×C₄	—	52	4	no	—
1972	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1973	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1974	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1975	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1976	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1977	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1978	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1979	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1980	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1981	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1982	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1983	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1984	C₂²	—	2	8	no	—
1985	C₂²	—	2	2	no	—
1986	C₂²	—	2	2	no	—
1987	C₂²	—	2	2	no	—
1988	C₂²	—	2	2	no	—
1989	C₂²	—	2	2	no	—
1990	C₂²	—	2	2	no	—
1991	C₂²	—	2	2	no	—
1992	C₂²	—	2	2	no	—
1993	C₂²	—	4	4	no	—
1994	C₂²	—	4	4	no	—
1995	C₂²	—	13	4	no	—
1996	C₂²	—	13	4	no	—
1997	C₂²	—	26	8	no	—
1998	C₂²	—	26	8	no	—
1999	C₂²	—	26	2	no	—
2000	C₂²	—	26	2	no	—
2001	C₂²	—	26	2	no	—
2002	C₂²	—	26	2	no	—
2003	C₂²	—	26	2	no	—
2004	C₂²	—	26	2	no	—
2005	C₂²	—	26	2	no	—
2006	C₂²	—	26	2	no	—
2007	C₂²	—	26	2	no	—
2008	C₂²	—	26	2	no	—
2009	C₂²	—	26	2	no	—
2010	C₂²	—	26	2	no	—
2011	C₂²	—	26	2	no	—
2012	C₂²	—	26	2	no	—
2013	C₂²	—	26	2	no	—
2014	C₂²	—	26	2	no	—
2015	C₂²	—	52	16	no	—
2016	C₂²	—	52	16	no	—
2017	C₂²	—	52	4	no	—
2018	C₂²	—	52	4	no	—
2019	C₂²	—	52	4	no	—
2020	C₂²	—	52	4	no	—
2021	C₂²	—	104	8	no	—
2022	C₂²	—	104	8	no	—
2023	C₂²	C₂×#41×D₁₃	1	4	yes	—
2024	C₂²	C₂×#41×D₁₃	1	2	yes	—
2025	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
2026	C₂²	#11719652	1	2	yes	—
2027	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
2028	C₄	—	2	2	no	—
2029	C₄	—	2	2	no	—
2030	C₄	—	2	2	no	—
2031	C₄	—	2	2	no	—
2032	C₄	—	2	2	no	—
2033	C₄	—	2	2	no	—
2034	C₄	—	2	2	no	—
2035	C₄	—	2	2	no	—
2036	C₄	—	2	2	no	—
2037	C₄	—	2	2	no	—
2038	C₄	—	2	2	no	—
2039	C₄	—	2	2	no	—
2040	C₄	—	13	4	no	—
2041	C₄	—	26	2	no	—
2042	C₄	—	26	2	no	—
2043	C₄	—	26	2	no	—
2044	C₄	—	26	2	no	—
2045	C₄	—	26	2	no	—
2046	C₄	—	26	2	no	—
2047	C₄	—	26	2	no	—
2048	C₄	—	26	2	no	—
2049	C₄	—	26	2	no	—
2050	C₂	—	2	4	no	—
2051	C₂	—	4	2	no	—
2052	C₂	—	4	2	no	—
2053	C₂	—	26	4	no	—
2054	C₂	—	26	4	no	—
2055	C₂	—	52	2	no	—
2056	C₂	—	52	2	no	—
2057	C₂	—	52	2	no	—
2058	C₂	—	52	2	no	—
2059	C₂	#13128766	1	4	yes	direct product factor
2060	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
2061	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
2062	C₂	C₂×#11719652	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#539	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#539	D₁₃
hypocenter	C₁₃	C₂×#3513
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#539

Complements

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

N	H ≅ G/N	type
1. #13128766	C₂	direct (N × H)
2. C₂×#11719369	C₂	semidirect
3. C₂×#11719341	C₂	semidirect
4. C₂×#11719400	C₂	semidirect
5. C₂×#11719414	C₂	semidirect
6. C₂×#11719306	C₂	semidirect
7. C₂×#11719398	C₂	semidirect
8. C₂×#11719342	C₂	semidirect
9. C₂×#11719410	C₂	semidirect
10. C₂×#11719363	C₂	semidirect
11. C₂×#11719363	C₂	semidirect
12. C₂×#11719336	C₂	semidirect
13. C₂×#11719359	C₂	semidirect
14. C₂×#11719359	C₂	semidirect
15. C₂×#11719359	C₂	semidirect
16. C₂×#11719335	C₂	semidirect
17. C₂×#11719314	C₂	semidirect
18. C₂×#11719345	C₂	semidirect
19. C₂×#11719368	C₂	semidirect
20. C₂×#11719397	C₂	semidirect
21. C₂×#11719409	C₂	semidirect
22. C₂×#11719265	C₂	semidirect
23. C₂×#11719396	C₂	semidirect
24. C₂×#11719411	C₂	semidirect
25. C₂×#11719332	C₂	semidirect
26. C₂×#11719252	C₂	semidirect
27. C₂²×#88148	C₂	semidirect
28. C₂×D₁₃×#123	C₂	semidirect
29. C₂×#11719209	C₂	semidirect
30. C₂×#11719250	C₂	semidirect
31. C₂×C₄×D₄×D₁₃	C₂	semidirect
32. C₂×C₁₃×#539	C₂	semidirect
33. C₂²×#6131	C₂²	semidirect
38. C₂²×#6127	C₂²	semidirect
40. C₂³×C₄×D₁₃	C₂²	semidirect
41. C₂³×C₄×D₁₃	C₂²	semidirect
42. C₁₃×#539	C₂²	semidirect
43. C₂×C₁₃×#126	C₂²	semidirect
44. C₂×C₁₃×#126	C₂²	semidirect
45. C₂×C₁₃×#125	C₂²	semidirect
46. C₂×C₁₃×#125	C₂²	semidirect
47. C₂×C₁₃×#123	C₂²	semidirect
48. C₂×C₁₃×#123	C₂²	semidirect
49. C₂×C₁₃×#123	C₂²	semidirect
50. C₂×C₁₃×#123	C₂²	semidirect
51. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
53. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
55. C₂×C₄×D₄×C₁₃	C₂²	semidirect
56. C₂×C₄×D₄×C₁₃	C₂²	semidirect
57. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
58. C₂×#88201	C₂²	semidirect
59. C₂×#88200	C₂²	semidirect
60. C₂×#88198	C₂²	semidirect
62. C₂×#88193	C₂²	semidirect
63. C₂×#88193	C₂²	semidirect
64. C₂×#88193	C₂²	semidirect
67. C₂×#88189	C₂²	semidirect
68. C₂×D₄×Dic₁₃	C₂²	semidirect
69. C₂×D₄×Dic₁₃	C₂²	semidirect
70. C₂×#88184	C₂²	semidirect
71. C₂×#88183	C₂²	semidirect
74. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
75. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
76. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
77. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
78. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
79. C₂²×#6103	C₂²	semidirect
80. C₂²×#6103	C₂²	semidirect
81. C₂²×#6103	C₂²	semidirect
82. C₂²×#6103	C₂²	semidirect
83. C₂×#88180	C₂²	semidirect
84. C₂²×#6101	C₂²	semidirect
85. #11719414	C₂²	semidirect
86. #11719411	C₂²	semidirect
87. #11719410	C₂²	semidirect
88. #11719409	C₂²	semidirect
89. #11719400	C₂²	semidirect
90. #11719398	C₂²	semidirect
91. #11719397	C₂²	semidirect
92. #11719396	C₂²	semidirect
93. #11719369	C₂²	semidirect
94. #11719368	C₂²	semidirect
95. #11719363	C₂²	semidirect
96. #11719363	C₂²	semidirect
97. #11719359	C₂²	semidirect
98. #11719359	C₂²	semidirect
99. #11719359	C₂²	semidirect
100. D₁₃×#123	C₂²	semidirect
101. #11719345	C₂²	semidirect
102. #11719342	C₂²	semidirect
103. #11719341	C₂²	semidirect
104. #11719336	C₂²	semidirect
105. #11719335	C₂²	semidirect
106. #11719332	C₂²	semidirect
107. #11719314	C₂²	semidirect
108. #11719306	C₂²	semidirect
109. #11719265	C₂²	semidirect
110. #11719252	C₂²	semidirect
111. #11719250	C₂²	semidirect
112. C₄×D₄×D₁₃	C₂²	semidirect
113. C₂×#88152	C₂²	semidirect
114. C₂×#88152	C₂²	semidirect
115. C₂×#88152	C₂²	semidirect
116. C₂×#88152	C₂²	semidirect
117. C₂×#88152	C₂²	semidirect
118. C₂×#88152	C₂²	semidirect
119. C₂×#88151	C₂²	semidirect
120. C₂×#88151	C₂²	semidirect
121. C₂×#88150	C₂²	semidirect
122. C₂×#88150	C₂²	semidirect
123. C₂×#88150	C₂²	semidirect
124. C₂×#88150	C₂²	semidirect
125. C₂×#88150	C₂²	semidirect
128. C₂×#88149	C₂²	semidirect
129. C₂×#88149	C₂²	semidirect
130. C₂×#88149	C₂²	semidirect
131. C₂×#88149	C₂²	semidirect
135. C₂×#88148	C₂²	semidirect
136. C₂×#88148	C₂²	semidirect
137. C₂×#88148	C₂²	semidirect
138. C₂×#88148	C₂²	semidirect
139. C₂×#88148	C₂²	semidirect
140. C₂×#88148	C₂²	semidirect
141. C₂×#88148	C₂²	semidirect
142. C₂×#88148	C₂²	semidirect
143. C₂×#88148	C₂²	semidirect
144. C₂×#88148	C₂²	semidirect
145. C₂×#88148	C₂²	semidirect
146. C₂×#88148	C₂²	semidirect
147. #11719209	C₂²	semidirect
149. C₂×#88147	C₂²	semidirect
150. C₂×#88147	C₂²	semidirect
151. C₂×#88147	C₂²	semidirect
152. C₂×#88147	C₂²	semidirect
153. C₂×#88147	C₂²	semidirect
154. C₂×#88147	C₂²	semidirect
155. C₂×#88147	C₂²	semidirect
156. C₂×#88146	C₂²	semidirect
157. C₂×#88146	C₂²	semidirect
158. C₂×#88146	C₂²	semidirect
159. C₂×#88146	C₂²	semidirect
160. C₂×#88146	C₂²	semidirect
161. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
162. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
163. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
164. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
165. C₂×#88143	C₂²	semidirect
166. C₂×#88143	C₂²	semidirect
167. C₂×#88143	C₂²	semidirect
168. C₂×#88141	C₂²	semidirect
169. C₂×#88141	C₂²	semidirect
170. C₂×#88141	C₂²	semidirect
171. C₂×#88140	C₂²	semidirect
172. C₂×#88140	C₂²	semidirect
173. C₂×#88139	C₂²	semidirect
174. C₂×#88139	C₂²	semidirect
175. C₂×#88139	C₂²	semidirect
176. C₂×#88139	C₂²	semidirect
177. C₂×#88139	C₂²	semidirect
180. C₂×#88138	C₂²	semidirect
181. C₂×#88138	C₂²	semidirect
182. C₂×#88138	C₂²	semidirect
183. C₂×#88138	C₂²	semidirect
184. C₂×#88137	C₂²	semidirect
185. C₂×#88137	C₂²	semidirect
186. C₂×#88137	C₂²	semidirect
187. C₂×#88137	C₂²	semidirect
190. C₂×#88136	C₂²	semidirect
191. C₂×#88136	C₂²	semidirect
192. C₂×#88136	C₂²	semidirect
193. C₂×#88136	C₂²	semidirect
196. C₂×#88135	C₂²	semidirect
197. C₂×#88135	C₂²	semidirect
198. C₂×#88135	C₂²	semidirect
199. C₂×#88135	C₂²	semidirect
200. C₂×#88135	C₂²	semidirect
201. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
202. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
203. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
204. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
205. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
206. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
207. C₂×#88133	C₂²	semidirect
208. C₂×#88132	C₂²	semidirect
209. C₂×#88132	C₂²	semidirect
210. C₂×#88131	C₂²	semidirect
211. C₂×#88130	C₂²	semidirect
212. C₂×#88129	C₂²	semidirect
213. C₂×C₄×D₅₂	C₂²	semidirect
214. C₂×C₄×D₅₂	C₂²	semidirect
215. C₂×C₄×D₅₂	C₂²	semidirect
216. C₂×#88126	C₂²	semidirect
217. C₂×#88126	C₂²	semidirect
218. C₂×C₄²×D₁₃	C₂²	semidirect
247. C₂×#6131	C₂³	semidirect
257. C₂×#6127	C₂³	semidirect
291. C₂²×C₄×D₁₃	C₂³	semidirect
292. C₂²×C₄×D₁₃	C₂³	semidirect
296. C₁₃×#126	C₂³	semidirect
297. C₁₃×#126	C₂³	semidirect
298. C₁₃×#125	C₂³	semidirect
299. C₁₃×#125	C₂³	semidirect
300. C₁₃×#123	C₂³	semidirect
301. C₁₃×#123	C₂³	semidirect
302. C₁₃×#123	C₂³	semidirect
303. C₁₃×#123	C₂³	semidirect
304. C₁₃×C₂²⋊Q₈	C₂³	semidirect
305. C₁₃×C₂²⋊Q₈	C₂³	semidirect
306. C₁₃×C₂²⋊Q₈	C₂³	semidirect
308. C₄×D₄×C₁₃	C₂³	semidirect
309. C₄×D₄×C₁₃	C₂³	semidirect
324. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
343. #88201	C₂³	semidirect
344. #88200	C₂³	semidirect
345. #88198	C₂³	semidirect
347. #88193	C₂³	semidirect
348. #88193	C₂³	semidirect
349. #88193	C₂³	semidirect
352. #88189	C₂³	semidirect
353. D₄×Dic₁₃	C₂³	semidirect
354. D₄×Dic₁₃	C₂³	semidirect
355. #88184	C₂³	semidirect
356. #88183	C₂³	semidirect
359. C₄×C₂²⋊D₁₃	C₂³	semidirect
360. C₄×C₂²⋊D₁₃	C₂³	semidirect
361. C₄×C₂²⋊D₁₃	C₂³	semidirect
362. C₄×C₂²⋊D₁₃	C₂³	semidirect
363. C₄×C₂²⋊D₁₃	C₂³	semidirect
396. C₂×#6103	C₂³	semidirect
397. C₂×#6103	C₂³	semidirect
398. C₂×#6103	C₂³	semidirect
399. C₂×#6103	C₂³	semidirect
400. #88180	C₂³	semidirect
423. C₂×#6101	C₂³	semidirect
434. #88152	C₂³	semidirect
435. #88152	C₂³	semidirect
436. #88152	C₂³	semidirect
437. #88152	C₂³	semidirect
438. #88152	C₂³	semidirect
439. #88152	C₂³	semidirect
440. #88151	C₂³	semidirect
441. #88151	C₂³	semidirect
442. #88150	C₂³	semidirect
443. #88150	C₂³	semidirect
444. #88150	C₂³	semidirect
445. #88150	C₂³	semidirect
446. #88150	C₂³	semidirect
449. #88149	C₂³	semidirect
450. #88149	C₂³	semidirect
451. #88149	C₂³	semidirect
452. #88149	C₂³	semidirect
456. #88148	C₂³	semidirect
457. #88148	C₂³	semidirect
458. #88148	C₂³	semidirect
459. #88148	C₂³	semidirect
460. #88148	C₂³	semidirect
461. #88148	C₂³	semidirect
462. #88148	C₂³	semidirect
463. #88148	C₂³	semidirect
464. #88148	C₂³	semidirect
465. #88148	C₂³	semidirect
466. #88148	C₂³	semidirect
468. #88147	C₂³	semidirect
469. #88147	C₂³	semidirect
470. #88147	C₂³	semidirect
471. #88147	C₂³	semidirect
472. #88147	C₂³	semidirect
473. #88147	C₂³	semidirect
474. #88147	C₂³	semidirect
475. #88146	C₂³	semidirect
476. #88146	C₂³	semidirect
477. #88146	C₂³	semidirect
478. #88146	C₂³	semidirect
479. #88146	C₂³	semidirect
480. C₄⋊C₄×D₁₃	C₂³	semidirect
481. C₄⋊C₄×D₁₃	C₂³	semidirect
482. C₄⋊C₄×D₁₃	C₂³	semidirect
483. C₄⋊C₄×D₁₃	C₂³	semidirect
484. #88143	C₂³	semidirect
485. #88143	C₂³	semidirect
486. #88143	C₂³	semidirect
487. #88141	C₂³	semidirect
488. #88141	C₂³	semidirect
489. #88141	C₂³	semidirect
490. #88140	C₂³	semidirect
491. #88140	C₂³	semidirect
492. #88139	C₂³	semidirect
493. #88139	C₂³	semidirect
494. #88139	C₂³	semidirect
495. #88139	C₂³	semidirect
496. #88139	C₂³	semidirect
499. #88138	C₂³	semidirect
500. #88138	C₂³	semidirect
501. #88138	C₂³	semidirect
502. #88138	C₂³	semidirect
503. #88137	C₂³	semidirect
504. #88137	C₂³	semidirect
505. #88137	C₂³	semidirect
506. #88137	C₂³	semidirect
509. #88136	C₂³	semidirect
510. #88136	C₂³	semidirect
511. #88136	C₂³	semidirect
512. #88136	C₂³	semidirect
515. #88135	C₂³	semidirect
516. #88135	C₂³	semidirect
517. #88135	C₂³	semidirect
518. #88135	C₂³	semidirect
519. #88135	C₂³	semidirect
520. C₂²⋊C₄×D₁₃	C₂³	semidirect
521. C₂²⋊C₄×D₁₃	C₂³	semidirect
522. C₂²⋊C₄×D₁₃	C₂³	semidirect
523. C₂²⋊C₄×D₁₃	C₂³	semidirect
524. C₂²⋊C₄×D₁₃	C₂³	semidirect
525. C₂²⋊C₄×D₁₃	C₂³	semidirect
526. #88133	C₂³	semidirect
527. #88132	C₂³	semidirect
528. #88132	C₂³	semidirect
529. #88131	C₂³	semidirect
530. #88130	C₂³	semidirect
531. #88129	C₂³	semidirect
532. C₄×D₅₂	C₂³	semidirect
533. C₄×D₅₂	C₂³	semidirect
534. C₄×D₅₂	C₂³	semidirect
535. #88126	C₂³	semidirect
536. #88126	C₂³	semidirect
537. C₄²×D₁₃	C₂³	semidirect
603. C₂×C₂²⋊D₁₃	#41	semidirect
821. C₂×#539	D₁₃	semidirect
928. C₂²⋊D₁₃	C₂×#41	semidirect
1013. #539	C₂×D₁₃	semidirect
1028. C₂×#126	C₂×D₁₃	semidirect
1029. C₂×#126	C₂×D₁₃	semidirect
1033. C₂×#125	C₂×D₁₃	semidirect
1034. C₂×#125	C₂×D₁₃	semidirect
1068. C₂×#123	C₂×D₁₃	semidirect
1069. C₂×#123	C₂×D₁₃	semidirect
1070. C₂×#123	C₂×D₁₃	semidirect
1071. C₂×#123	C₂×D₁₃	semidirect
1082. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
1083. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
1084. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
1143. C₂×C₄×D₄	C₂×D₁₃	semidirect
1144. C₂×C₄×D₄	C₂×D₁₃	semidirect
1159. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
1324. #126	C₂²×D₁₃	semidirect
1325. #126	C₂²×D₁₃	semidirect
1329. #125	C₂²×D₁₃	semidirect
1330. #125	C₂²×D₁₃	semidirect
1360. #123	C₂²×D₁₃	semidirect
1361. #123	C₂²×D₁₃	semidirect
1362. #123	C₂²×D₁₃	semidirect
1363. #123	C₂²×D₁₃	semidirect
1374. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1375. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1376. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1432. C₄×D₄	C₂²×D₁₃	semidirect
1433. C₄×D₄	C₂²×D₁₃	semidirect
1484. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1559. C₂×C₁₃	#3513	semidirect
1831. C₁₃	C₂×#3513	semidirect
2059. C₂	#13128766	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128766	2
C₂×#11719369	2
C₂×#11719341	2
C₂×#11719400	2
C₂×#11719414	2
C₂×#11719306	2
C₂×#11719398	2
C₂×#11719342	2
C₂×#11719410	2
C₂×#11719363	2
C₂×#11719336	2
C₂×#11719359	2
C₂×#11719335	2
C₂×#11719314	2
C₂×#11719345	2
C₂×#11719368	2
C₂×#11719397	2
C₂×#11719409	2
C₂×#11719265	2
C₂×#11719396	2
C₂×#11719411	2
C₂×#11719332	2
C₂×#11719252	2
C₂²×#88148	2
C₂×D₁₃×#123	2
C₂×#11719209	2
C₂×#11719250	2
C₂×C₄×D₄×D₁₃	2
C₂×C₁₃×#539	2
C₂×#3513	13

Subgroups — C2×#13128766 #16770886

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128766 #16770886