Subgroups — C₂×#13129101 #16770205

Order 3328.

7418 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129101	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719388	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719388	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719416	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719325	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719290	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719369	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719273	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719407	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719237	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719375	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719342	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719232	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719338	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719382	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719359	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719315	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719438	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719345	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719345	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719415	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719374	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719349	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#11719409	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#11719362	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#11719265	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#11719429	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11719379	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11719332	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11719252	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#11719361	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂²×#6131	C₂²	1	1	yes	characteristic
34	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#6129	C₂²	1	1	yes	characteristic
36	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#6127	C₂²	1	1	yes	characteristic
38	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#542	C₂²	1	16	yes	complemented
40	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
52	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88201	C₂²	1	1	yes	characteristic
56	C₂×#88201	C₂²	1	1	yes	characteristic
57	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88194	C₂²	1	1	yes	characteristic
66	C₂×#88193	C₂²	1	1	yes	characteristic
67	C₂×#88193	C₂²	1	1	yes	characteristic
68	C₂×#88193	C₂²	1	1	yes	characteristic, complemented
69	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
70	C₂×#88191	C₂²	1	1	yes	characteristic
71	C₂×#88191	C₂²	1	1	yes	characteristic
72	C₂×#88191	C₂²	1	1	yes	characteristic, complemented
73	C₂×#88191	C₂²	1	1	yes	characteristic, complemented
74	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
75	C₂×#88184	C₂²	1	1	yes	characteristic
76	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
77	C₂×#88183	C₂²	1	1	yes	characteristic, complemented
78	C₂×#88183	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
83	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
84	C₂²×#6103	C₂²	1	1	yes	characteristic, complemented
85	#11719438	C₂²	1	16	yes	complemented
86	#11719429	C₂²	1	16	yes	complemented
87	#11719416	C₂²	1	16	yes	complemented
88	#11719415	C₂²	1	16	yes	complemented
89	#11719409	C₂²	1	16	yes	complemented
90	#11719407	C₂²	1	16	yes	complemented
91	#11719388	C₂²	1	16	yes	complemented
92	#11719388	C₂²	1	16	yes	complemented
93	#11719382	C₂²	1	16	yes	complemented
94	#11719379	C₂²	1	16	yes	complemented
95	#11719375	C₂²	1	16	yes	complemented
96	#11719374	C₂²	1	16	yes	complemented
97	#11719369	C₂²	1	16	yes	complemented
98	#11719362	C₂²	1	16	yes	complemented
99	#11719361	C₂²	1	16	yes	complemented
100	#11719359	C₂²	1	16	yes	complemented
101	#11719349	C₂²	1	16	yes	complemented
102	#11719345	C₂²	1	16	yes	complemented
103	#11719345	C₂²	1	16	yes	complemented
104	#11719342	C₂²	1	16	yes	complemented
105	#11719338	C₂²	1	16	yes	complemented
106	#11719332	C₂²	1	16	yes	complemented
107	#11719325	C₂²	1	16	yes	complemented
108	#11719315	C₂²	1	16	yes	complemented
109	#11719290	C₂²	1	16	yes	complemented
110	#11719273	C₂²	1	16	yes	complemented
111	#11719265	C₂²	1	16	yes	complemented
112	#11719252	C₂²	1	16	yes	complemented
113	#11719237	C₂²	1	16	yes	complemented
114	#11719232	C₂²	1	16	yes	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×#88152	C₂²	1	1	yes	characteristic, complemented
120	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
121	C₂×#88151	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×#88150	C₂²	1	1	yes	characteristic, complemented
127	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
129	C₂×#88149	C₂²	1	1	yes	characteristic
130	C₂×#88149	C₂²	1	1	yes	characteristic
131	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
132	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
133	C₂×#88148	C₂²	1	1	yes	characteristic
134	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
135	C₂×#88148	C₂²	1	1	yes	characteristic, 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×#88147	C₂²	1	1	yes	characteristic
145	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
146	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
147	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
148	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
149	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
150	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
151	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
152	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
153	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
154	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
155	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
156	C₂×#88139	C₂²	1	1	yes	characteristic
157	C₂×#88139	C₂²	1	1	yes	characteristic
158	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
159	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
160	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
161	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
162	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
163	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
164	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
165	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
166	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
167	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
168	C₂×#88138	C₂²	1	1	yes	characteristic
169	C₂×#88138	C₂²	1	1	yes	characteristic
170	C₂×#88138	C₂²	1	1	yes	characteristic
171	C₂×#88138	C₂²	1	1	yes	characteristic
172	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
173	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
174	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
175	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
176	C₂×#88138	C₂²	1	1	yes	characteristic, complemented
177	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
178	C₂×#88136	C₂²	1	1	yes	characteristic
179	C₂×#88136	C₂²	1	1	yes	characteristic
180	C₂×#88136	C₂²	1	1	yes	characteristic
181	C₂×#88136	C₂²	1	1	yes	characteristic
182	C₂×#88136	C₂²	1	1	yes	characteristic
183	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
184	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
185	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
186	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
187	C₂×#88136	C₂²	1	1	yes	characteristic, complemented
188	C₂×#88135	C₂²	1	1	yes	characteristic
189	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
190	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
191	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
192	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
193	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
196	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
197	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
198	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
199	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
200	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
201	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
202	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
203	C₂×#88130	C₂²	1	1	yes	characteristic, complemented
204	C₂×#88130	C₂²	1	1	yes	characteristic, complemented
205	C₂×#88129	C₂²	1	1	yes	characteristic
206	C₂×#88129	C₂²	1	1	yes	characteristic
207	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
208	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
209	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
210	C₂×#88128	C₂²	1	1	yes	characteristic
211	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
212	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
213	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
214	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
215	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
216	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
217	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₄×Dic₂₆	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	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×Q₈×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	C₂²×D₄×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	C₂²×C₂²⋊D₁₃	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	C₂²×C₂²⋊D₁₃	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	—
248	C₂×Q₈×D₁₃	—	4	4	no	—
249	C₂×Q₈×D₁₃	C₂³	1	8	yes	complemented
250	C₂×#6129	—	4	4	no	—
251	C₂×#6129	C₂³	1	8	yes	—
252	C₂×D₄×D₁₃	—	4	4	no	—
253	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
254	C₂×#6127	—	4	4	no	—
255	C₂×#6127	C₂³	1	8	yes	—
256	C₂²×D₅₂	C₂³	1	1	yes	characteristic
257	C₂²×D₅₂	C₂³	1	1	yes	characteristic
258	C₂²×D₅₂	C₂³	1	1	yes	characteristic
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×C₄×D₁₃	—	4	4	no	—
269	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
270	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
271	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
272	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
282	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
283	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
284	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
285	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
286	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
287	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
288	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
289	C₁₃×#126	C₂³	1	8	yes	complemented
290	C₁₃×#126	C₂³	1	8	yes	complemented
291	C₁₃×#124	C₂³	1	8	yes	complemented
292	C₁₃×#124	C₂³	1	8	yes	complemented
293	C₁₃×#124	C₂³	1	8	yes	complemented
294	C₁₃×#123	C₂³	1	8	yes	complemented
295	C₁₃×#123	C₂³	1	8	yes	complemented
296	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
297	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
298	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
299	C₁₃×#121	C₂³	1	8	yes	—
300	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
301	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
302	C₁₃×#117	C₂³	1	8	yes	complemented
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
335	#88201	C₂³	1	8	yes	—
336	#88201	C₂³	1	8	yes	—
337	#88201	C₂³	1	8	yes	complemented
338	#88201	C₂³	1	8	yes	complemented
339	#88201	C₂³	1	8	yes	complemented
340	#88201	C₂³	1	8	yes	complemented
341	#88200	C₂³	1	8	yes	complemented
342	#88200	C₂³	1	8	yes	complemented
343	#88198	C₂³	1	8	yes	complemented
344	#88198	C₂³	1	8	yes	complemented
345	#88194	C₂³	1	8	yes	—
346	#88193	C₂³	1	8	yes	—
347	#88193	C₂³	1	8	yes	—
348	#88193	C₂³	1	8	yes	complemented
349	#88192	C₂³	1	8	yes	complemented
350	#88191	C₂³	1	8	yes	—
351	#88191	C₂³	1	8	yes	—
352	#88191	C₂³	1	8	yes	complemented
353	#88191	C₂³	1	8	yes	complemented
354	#88189	C₂³	1	8	yes	complemented
355	#88184	C₂³	1	8	yes	—
356	#88184	C₂³	1	8	yes	complemented
357	#88183	C₂³	1	8	yes	complemented
358	#88183	C₂³	1	8	yes	complemented
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	C₂×#6103	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
397	C₂×#6103	C₂³	1	1	yes	characteristic
398	C₂×#6103	C₂³	1	1	yes	characteristic
399	C₂×#6103	C₂³	1	8	yes	complemented
400	C₂×#6103	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×#6101	C₂³	1	1	yes	characteristic
406	C₂×#6101	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×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
422	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
423	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
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	#88152	C₂³	1	8	yes	complemented
432	#88152	C₂³	1	8	yes	complemented
433	#88152	C₂³	1	8	yes	complemented
434	#88152	C₂³	1	8	yes	complemented
435	#88152	C₂³	1	8	yes	complemented
436	#88152	C₂³	1	8	yes	complemented
437	#88151	C₂³	1	8	yes	complemented
438	#88150	C₂³	1	8	yes	complemented
439	#88150	C₂³	1	8	yes	complemented
440	#88150	C₂³	1	8	yes	complemented
441	#88150	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	#88149	C₂³	1	8	yes	—
446	#88149	C₂³	1	8	yes	—
447	#88149	C₂³	1	8	yes	complemented
448	#88149	C₂³	1	8	yes	complemented
449	#88148	C₂³	1	8	yes	—
450	#88148	C₂³	1	8	yes	complemented
451	#88148	C₂³	1	8	yes	complemented
452	#88148	C₂³	1	8	yes	complemented
453	#88148	C₂³	1	8	yes	complemented
454	#88148	C₂³	1	8	yes	complemented
455	#88148	C₂³	1	8	yes	complemented
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	#88147	C₂³	1	8	yes	—
461	#88147	C₂³	1	8	yes	complemented
462	#88147	C₂³	1	8	yes	complemented
463	#88147	C₂³	1	8	yes	complemented
464	#88147	C₂³	1	8	yes	complemented
465	#88146	C₂³	1	8	yes	complemented
466	#88146	C₂³	1	8	yes	complemented
467	#88142	C₂³	1	8	yes	complemented
468	#88141	C₂³	1	8	yes	complemented
469	#88141	C₂³	1	8	yes	complemented
470	#88141	C₂³	1	8	yes	complemented
471	#88140	C₂³	1	8	yes	complemented
472	#88139	C₂³	1	8	yes	—
473	#88139	C₂³	1	8	yes	—
474	#88139	C₂³	1	8	yes	complemented
475	#88139	C₂³	1	8	yes	complemented
476	#88139	C₂³	1	8	yes	complemented
477	#88139	C₂³	1	8	yes	complemented
478	#88139	C₂³	1	8	yes	complemented
479	#88139	C₂³	1	8	yes	complemented
480	#88139	C₂³	1	8	yes	complemented
481	#88139	C₂³	1	8	yes	complemented
482	#88139	C₂³	1	8	yes	complemented
483	#88139	C₂³	1	8	yes	complemented
484	#88138	C₂³	1	8	yes	—
485	#88138	C₂³	1	8	yes	—
486	#88138	C₂³	1	8	yes	—
487	#88138	C₂³	1	8	yes	—
488	#88138	C₂³	1	8	yes	complemented
489	#88138	C₂³	1	8	yes	complemented
490	#88138	C₂³	1	8	yes	complemented
491	#88138	C₂³	1	8	yes	complemented
492	#88138	C₂³	1	8	yes	complemented
493	#88137	C₂³	1	8	yes	complemented
494	#88136	C₂³	1	8	yes	—
495	#88136	C₂³	1	8	yes	—
496	#88136	C₂³	1	8	yes	—
497	#88136	C₂³	1	8	yes	—
498	#88136	C₂³	1	8	yes	—
499	#88136	C₂³	1	8	yes	complemented
500	#88136	C₂³	1	8	yes	complemented
501	#88136	C₂³	1	8	yes	complemented
502	#88136	C₂³	1	8	yes	complemented
503	#88136	C₂³	1	8	yes	complemented
504	#88135	C₂³	1	8	yes	—
505	#88135	C₂³	1	8	yes	complemented
506	#88135	C₂³	1	8	yes	complemented
507	#88135	C₂³	1	8	yes	complemented
508	#88135	C₂³	1	8	yes	complemented
509	#88135	C₂³	1	8	yes	complemented
510	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
511	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
512	#88133	C₂³	1	8	yes	complemented
513	#88133	C₂³	1	8	yes	complemented
514	#88132	C₂³	1	8	yes	complemented
515	#88132	C₂³	1	8	yes	complemented
516	#88132	C₂³	1	8	yes	complemented
517	#88131	C₂³	1	8	yes	complemented
518	#88131	C₂³	1	8	yes	complemented
519	#88130	C₂³	1	8	yes	complemented
520	#88130	C₂³	1	8	yes	complemented
521	#88129	C₂³	1	8	yes	—
522	#88129	C₂³	1	8	yes	—
523	#88129	C₂³	1	8	yes	complemented
524	#88129	C₂³	1	8	yes	complemented
525	#88129	C₂³	1	8	yes	complemented
526	#88128	C₂³	1	8	yes	—
527	C₄×D₅₂	C₂³	1	8	yes	complemented
528	C₄×D₅₂	C₂³	1	8	yes	complemented
529	#88126	C₂³	1	8	yes	complemented
530	#88126	C₂³	1	8	yes	complemented
531	#88126	C₂³	1	8	yes	complemented
532	#88126	C₂³	1	8	yes	complemented
533	C₄×Dic₂₆	C₂³	1	8	yes	complemented
534	C₄×Dic₂₆	C₂³	1	8	yes	complemented
535	C₂×#3540	—	13	1	no	maximal, Sylow
536	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂³×D₁₃	—	4	2	no	—
540	C₂³×D₁₃	—	4	2	no	—
541	C₂³×D₁₃	—	4	2	no	—
542	C₂³×D₁₃	—	4	2	no	—
543	C₂³×D₁₃	—	4	2	no	—
544	C₂³×D₁₃	—	4	2	no	—
545	C₂³×D₁₃	—	4	2	no	—
546	C₂³×D₁₃	—	4	2	no	—
547	C₂³×D₁₃	—	4	2	no	—
548	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
549	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
550	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
551	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
552	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
553	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
554	C₂³×D₁₃	C₂⁴	1	4	yes	—
555	C₂³×D₁₃	C₂⁴	1	4	yes	—
556	C₂³×D₁₃	C₂⁴	1	4	yes	—
557	C₂×Q₈×C₁₃	—	4	2	no	—
558	C₂×Q₈×C₁₃	—	4	2	no	—
559	C₂×Q₈×C₁₃	—	4	2	no	—
560	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
561	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
562	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
563	C₂×D₄×C₁₃	—	4	2	no	—
564	C₂×D₄×C₁₃	—	4	2	no	—
565	C₂×D₄×C₁₃	—	4	2	no	—
566	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
567	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
568	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
569	C₂²×C₄×C₁₃	—	4	2	no	—
570	C₂²×C₄×C₁₃	—	4	2	no	—
571	C₂²×C₄×C₁₃	—	4	2	no	—
572	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
585	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
586	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
587	C₂×C₂²⋊D₁₃	—	2	4	no	—
588	C₂×C₂²⋊D₁₃	—	2	4	no	—
589	C₂×C₂²⋊D₁₃	—	4	2	no	—
590	C₂×C₂²⋊D₁₃	—	4	2	no	—
591	C₂×C₂²⋊D₁₃	—	4	2	no	—
592	C₂×C₂²⋊D₁₃	—	4	2	no	—
593	C₂×C₂²⋊D₁₃	—	4	2	no	—
594	C₂×C₂²⋊D₁₃	—	4	2	no	—
595	C₂×C₂²⋊D₁₃	—	4	2	no	—
596	C₂×C₂²⋊D₁₃	—	4	2	no	—
597	C₂×C₂²⋊D₁₃	—	4	2	no	—
598	C₂×C₂²⋊D₁₃	—	4	2	no	—
599	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
600	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
601	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
602	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
603	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
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	C₂²×Dic₁₃	—	2	4	no	—
612	C₂²×Dic₁₃	—	4	2	no	—
613	C₂²×Dic₁₃	—	4	2	no	—
614	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
615	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
617	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
625	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
626	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
627	#6131	—	4	16	no	—
628	Q₈×D₁₃	—	4	16	no	—
629	#6129	—	4	16	no	—
630	D₄×D₁₃	—	4	16	no	—
631	#6127	—	4	16	no	—
632	C₂×D₅₂	—	4	2	no	—
633	C₂×D₅₂	—	4	2	no	—
634	C₂×D₅₂	—	4	2	no	—
635	C₂×D₅₂	—	4	2	no	—
636	C₂×D₅₂	—	4	2	no	—
637	C₂×D₅₂	—	4	2	no	—
638	C₂×D₅₂	—	4	2	no	—
639	C₂×D₅₂	—	4	2	no	—
640	C₂×D₅₂	—	4	2	no	—
641	C₂×D₅₂	—	4	2	no	—
642	C₂×D₅₂	—	4	2	no	—
643	C₂×D₅₂	—	4	2	no	—
644	C₂×D₅₂	C₂⁴	1	4	yes	—
645	C₂×D₅₂	C₂⁴	1	4	yes	—
646	C₂×D₅₂	C₂⁴	1	4	yes	—
647	C₂×D₅₂	C₂⁴	1	4	yes	—
648	C₂×D₅₂	C₂⁴	1	4	yes	—
649	C₂×D₅₂	C₂⁴	1	4	yes	—
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×C₄×D₁₃	—	2	4	no	—
657	C₂×C₄×D₁₃	—	2	4	no	—
658	C₂×C₄×D₁₃	—	2	4	no	—
659	C₂×C₄×D₁₃	—	2	4	no	—
660	C₂×C₄×D₁₃	—	4	16	no	—
661	C₂×C₄×D₁₃	—	4	2	no	—
662	C₂×C₄×D₁₃	—	4	2	no	—
663	C₂×C₄×D₁₃	—	4	2	no	—
664	C₂×C₄×D₁₃	—	4	2	no	—
665	C₂×C₄×D₁₃	—	4	2	no	—
666	C₂×C₄×D₁₃	—	4	2	no	—
667	C₂×C₄×D₁₃	—	4	2	no	—
668	C₂×C₄×D₁₃	—	4	2	no	—
669	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
670	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
671	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
672	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
673	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
674	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
675	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
676	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
677	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
678	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
679	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
680	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
681	C₂×Dic₂₆	—	2	4	no	—
682	C₂×Dic₂₆	—	2	4	no	—
683	C₂×Dic₂₆	—	4	2	no	—
684	C₂×Dic₂₆	—	4	2	no	—
685	C₂×Dic₂₆	—	4	2	no	—
686	C₂×Dic₂₆	—	4	2	no	—
687	C₂×Dic₂₆	C₂⁴	1	4	yes	—
688	C₂×Dic₂₆	C₂⁴	1	4	yes	—
689	C₂×Dic₂₆	C₂⁴	1	4	yes	—
690	C₂×Dic₂₆	C₂⁴	1	4	yes	—
691	C₂×Dic₂₆	C₂⁴	1	4	yes	—
692	C₂×Dic₂₆	C₂⁴	1	4	yes	—
693	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
694	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
695	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
696	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
697	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
698	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
699	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
700	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
701	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
702	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
703	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
708	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
709	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
710	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
711	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
714	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
715	C₄²×C₁₃	C₂⁴	1	4	yes	—
716	C₄²×C₁₃	C₂⁴	1	4	yes	—
717	C₄²×C₁₃	C₂⁴	1	4	yes	—
718	C₄²×C₁₃	C₂⁴	1	4	yes	—
719	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
720	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
721	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
722	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
723	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
724	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
725	#6103	C₂⁴	1	4	yes	—
726	#6103	C₂⁴	1	4	yes	—
727	#6103	C₂⁴	1	4	yes	—
728	#6103	C₂⁴	1	4	yes	—
729	#6103	C₂⁴	1	4	yes	—
730	#6103	C₂⁴	1	4	yes	—
731	#6103	C₂⁴	1	4	yes	—
732	#6103	C₂⁴	1	4	yes	—
733	#6103	C₂⁴	1	4	yes	—
734	#6103	C₂⁴	1	4	yes	—
735	#6103	C₂⁴	1	4	yes	—
736	#6103	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	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
762	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
763	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
764	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
765	#6101	C₂⁴	1	4	yes	—
766	#6101	C₂⁴	1	4	yes	—
767	#6101	C₂⁴	1	4	yes	—
768	#6101	C₂⁴	1	4	yes	—
769	#6101	C₂⁴	1	4	yes	—
770	#6101	C₂⁴	1	4	yes	—
771	#6101	C₂⁴	1	4	yes	—
772	#6101	C₂⁴	1	4	yes	—
773	#6101	C₂⁴	1	4	yes	—
774	#6101	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	C₄×Dic₁₃	C₂⁴	1	4	yes	—
782	C₄×Dic₁₃	C₂⁴	1	4	yes	—
783	C₄×Dic₁₃	C₂⁴	1	4	yes	—
784	C₄×Dic₁₃	C₂⁴	1	4	yes	—
785	C₄×Dic₁₃	C₂⁴	1	4	yes	—
786	C₄×Dic₁₃	C₂⁴	1	4	yes	—
787	C₄×Dic₁₃	C₂⁴	1	4	yes	—
788	C₄×Dic₁₃	C₂⁴	1	4	yes	—
789	C₄×Dic₁₃	C₂⁴	1	4	yes	—
790	C₄×Dic₁₃	C₂⁴	1	4	yes	—
791	#3540	—	13	32	no	—
792	C₂×H(3,𝔽₄)	—	13	1	no	—
793	C₂×H(3,𝔽₄)	—	13	1	no	—
794	C₂×#560	—	13	1	no	—
795	C₂×#560	—	13	1	no	—
796	C₂×#559	—	13	1	no	—
797	C₂×#559	—	13	1	no	—
798	C₂×#556	—	13	1	no	—
799	C₂×#556	—	13	1	no	—
800	C₂×#555	—	13	1	no	—
801	C₂×#555	—	13	1	no	—
802	C₂×#551	—	13	1	no	—
803	C₂×#551	—	13	1	no	—
804	C₂×#548	—	13	1	no	—
805	C₂×#548	—	13	1	no	—
806	C₂×#546	—	13	1	no	—
807	C₂×#546	—	13	1	no	—
808	C₂×#542	—	13	1	no	—
809	C₂×#542	—	13	1	no	—
810	C₂×#542	—	13	1	no	—
811	C₂×#542	—	13	1	no	—
812	C₂×#542	—	13	1	no	—
813	C₂×#542	D₁₃	1	1	yes	characteristic, complemented
814	C₂×#538	—	13	1	no	—
815	C₂×#538	—	13	1	no	—
816	C₂×#538	—	13	1	no	—
817	C₂×#538	—	13	1	no	—
818	C₂×#536	—	13	1	no	—
819	C₂×#535	—	13	1	no	—
820	C₂×#525	—	13	1	no	—
821	C₂×#525	—	13	1	no	—
822	C₂×#525	—	13	1	no	—
823	C₂³×C₁₃	—	2	2	no	—
824	C₂³×C₁₃	—	2	2	no	—
825	C₂³×C₁₃	—	2	2	no	—
826	C₂³×C₁₃	—	2	2	no	—
827	C₂³×C₁₃	—	2	2	no	—
828	C₂³×C₁₃	—	2	2	no	—
829	C₂³×C₁₃	—	2	2	no	—
830	C₂³×C₁₃	—	2	2	no	—
831	C₂³×C₁₃	—	2	2	no	—
832	C₂³×C₁₃	C₂⁵	1	2	yes	—
833	C₂³×C₁₃	C₂⁵	1	2	yes	—
834	C₂³×C₁₃	C₂⁵	1	2	yes	—
835	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
836	C₂²×D₁₃	—	2	2	no	—
837	C₂²×D₁₃	—	2	2	no	—
838	C₂²×D₁₃	—	2	2	no	—
839	C₂²×D₁₃	—	2	2	no	—
840	C₂²×D₁₃	—	2	2	no	—
841	C₂²×D₁₃	—	2	2	no	—
842	C₂²×D₁₃	—	2	2	no	—
843	C₂²×D₁₃	—	2	2	no	—
844	C₂²×D₁₃	—	2	2	no	—
845	C₂²×D₁₃	—	2	2	no	—
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	—	4	4	no	—
855	C₂²×D₁₃	—	4	4	no	—
856	C₂²×D₁₃	—	4	4	no	—
857	C₂²×D₁₃	—	4	4	no	—
858	C₂²×D₁₃	—	4	4	no	—
859	C₂²×D₁₃	—	4	4	no	—
860	C₂²×D₁₃	—	4	4	no	—
861	C₂²×D₁₃	—	4	4	no	—
862	C₂²×D₁₃	—	4	4	no	—
863	C₂²×D₁₃	—	4	16	no	—
864	C₂²×D₁₃	—	8	8	no	—
865	C₂²×D₁₃	—	8	8	no	—
866	C₂²×D₁₃	C₂⁵	1	2	yes	—
867	C₂²×D₁₃	C₂⁵	1	2	yes	—
868	C₂²×D₁₃	C₂⁵	1	2	yes	—
869	C₂²×D₁₃	C₂⁵	1	2	yes	—
870	C₂²×D₁₃	C₂⁵	1	2	yes	—
871	C₂²×D₁₃	C₂⁵	1	2	yes	—
872	Q₈×C₁₃	—	4	4	no	—
873	Q₈×C₁₃	—	4	4	no	—
874	Q₈×C₁₃	—	4	4	no	—
875	D₄×C₁₃	—	4	4	no	—
876	D₄×C₁₃	—	4	4	no	—
877	D₄×C₁₃	—	4	4	no	—
878	C₂×C₄×C₁₃	—	2	2	no	—
879	C₂×C₄×C₁₃	—	2	2	no	—
880	C₂×C₄×C₁₃	—	2	2	no	—
881	C₂×C₄×C₁₃	—	2	2	no	—
882	C₂×C₄×C₁₃	—	2	2	no	—
883	C₂×C₄×C₁₃	—	2	2	no	—
884	C₂×C₄×C₁₃	—	2	2	no	—
885	C₂×C₄×C₁₃	—	2	2	no	—
886	C₂×C₄×C₁₃	—	2	2	no	—
887	C₂×C₄×C₁₃	—	2	2	no	—
888	C₂×C₄×C₁₃	—	2	2	no	—
889	C₂×C₄×C₁₃	—	2	2	no	—
890	C₂×C₄×C₁₃	—	4	4	no	—
891	C₂×C₄×C₁₃	—	4	4	no	—
892	C₂×C₄×C₁₃	—	4	4	no	—
893	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
894	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
895	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
896	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
897	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
898	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
899	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
900	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
901	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
902	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
903	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
904	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
905	C₂²⋊D₁₃	—	2	8	no	—
906	C₂²⋊D₁₃	—	2	8	no	—
907	C₂²⋊D₁₃	—	4	4	no	—
908	C₂²⋊D₁₃	—	4	4	no	—
909	C₂²⋊D₁₃	—	4	4	no	—
910	C₂²⋊D₁₃	—	4	4	no	—
911	C₂²⋊D₁₃	—	4	4	no	—
912	C₂²⋊D₁₃	—	4	4	no	—
913	C₂²⋊D₁₃	—	4	4	no	—
914	C₂²⋊D₁₃	—	4	4	no	—
915	C₂²⋊D₁₃	—	4	4	no	—
916	C₂²⋊D₁₃	—	4	4	no	—
917	C₂×Dic₁₃	—	2	2	no	—
918	C₂×Dic₁₃	—	2	2	no	—
919	C₂×Dic₁₃	—	2	2	no	—
920	C₂×Dic₁₃	—	2	2	no	—
921	C₂×Dic₁₃	—	2	2	no	—
922	C₂×Dic₁₃	—	2	2	no	—
923	C₂×Dic₁₃	—	2	2	no	—
924	C₂×Dic₁₃	—	2	2	no	—
925	C₂×Dic₁₃	—	2	2	no	—
926	C₂×Dic₁₃	—	2	8	no	—
927	C₂×Dic₁₃	—	4	4	no	—
928	C₂×Dic₁₃	—	4	4	no	—
929	C₂×Dic₁₃	H(5,𝔽₂)	1	4	yes	—
930	C₂×Dic₁₃	C₂⁵	1	2	yes	—
931	C₂×Dic₁₃	C₂⁵	1	2	yes	—
932	C₂×Dic₁₃	C₂⁵	1	2	yes	—
933	C₂×Dic₁₃	C₂⁵	1	2	yes	—
934	C₂×Dic₁₃	C₂⁵	1	2	yes	—
935	C₂×Dic₁₃	C₂⁵	1	2	yes	—
936	C₂×Dic₁₃	C₂⁵	1	2	yes	—
937	C₂×Dic₁₃	C₂⁵	1	2	yes	—
938	C₂×Dic₁₃	C₂⁵	1	2	yes	—
939	C₂×Dic₁₃	C₂⁵	1	2	yes	—
940	D₅₂	—	4	4	no	—
941	D₅₂	—	4	4	no	—
942	D₅₂	—	4	4	no	—
943	D₅₂	—	4	4	no	—
944	D₅₂	—	4	4	no	—
945	D₅₂	—	4	4	no	—
946	D₅₂	—	4	4	no	—
947	D₅₂	—	4	4	no	—
948	D₅₂	—	4	4	no	—
949	D₅₂	—	4	4	no	—
950	D₅₂	—	4	4	no	—
951	D₅₂	—	4	4	no	—
952	C₄×D₁₃	—	2	8	no	—
953	C₄×D₁₃	—	2	8	no	—
954	C₄×D₁₃	—	2	8	no	—
955	C₄×D₁₃	—	2	8	no	—
956	C₄×D₁₃	—	4	4	no	—
957	C₄×D₁₃	—	4	4	no	—
958	C₄×D₁₃	—	4	4	no	—
959	C₄×D₁₃	—	4	4	no	—
960	C₄×D₁₃	—	4	4	no	—
961	C₄×D₁₃	—	4	4	no	—
962	C₄×D₁₃	—	4	4	no	—
963	C₄×D₁₃	—	4	4	no	—
964	Dic₂₆	—	2	8	no	—
965	Dic₂₆	—	2	8	no	—
966	Dic₂₆	—	4	4	no	—
967	Dic₂₆	—	4	4	no	—
968	Dic₂₆	—	4	4	no	—
969	Dic₂₆	—	4	4	no	—
970	C₂²×#41	—	13	1	no	—
971	C₂²×#41	—	13	1	no	—
972	C₂²×#41	—	13	1	no	—
973	C₂³×Q₈	—	13	1	no	—
974	C₂³×D₄	—	13	1	no	—
975	C₂⁴×C₄	—	13	1	no	—
976	H(3,𝔽₄)	—	13	16	no	—
977	H(3,𝔽₄)	—	13	16	no	—
978	#560	—	13	16	no	—
979	#560	—	13	16	no	—
980	#559	—	13	16	no	—
981	#559	—	13	16	no	—
982	#556	—	13	16	no	—
983	#556	—	13	16	no	—
984	#555	—	13	16	no	—
985	#555	—	13	16	no	—
986	#551	—	13	16	no	—
987	#551	—	13	16	no	—
988	#548	—	13	16	no	—
989	#548	—	13	16	no	—
990	#546	—	13	16	no	—
991	#546	—	13	16	no	—
992	#542	—	13	16	no	—
993	#542	—	13	16	no	—
994	#542	—	13	16	no	—
995	#542	—	13	16	no	—
996	#542	—	13	16	no	—
997	#542	C₂×D₁₃	1	16	yes	complemented
998	#538	—	13	16	no	—
999	#538	—	13	16	no	—
1000	#538	—	13	16	no	—
1001	#538	—	13	16	no	—
1002	#536	—	13	16	no	—
1003	#535	—	13	16	no	—
1004	C₂×C₄⋊Q₈	—	13	1	no	—
1005	C₂×C₄⋊Q₈	—	13	1	no	—
1006	C₂×C₄⋊Q₈	—	13	1	no	—
1007	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	C₂×#127	—	13	1	no	—
1009	C₂×#127	—	13	1	no	—
1010	C₂×#126	—	13	1	no	—
1011	C₂×#126	—	13	1	no	—
1012	C₂×#126	—	13	1	no	—
1013	C₂×#126	—	13	1	no	—
1014	C₂×#126	—	13	1	no	—
1015	C₂×#126	—	13	1	no	—
1016	C₂×#126	—	13	1	no	—
1017	C₂×#126	—	13	1	no	—
1018	C₂×#126	—	13	1	no	—
1019	C₂×#126	—	13	1	no	—
1020	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	C₂×#126	C₂×D₁₃	1	1	yes	characteristic, complemented
1022	C₂×#124	—	13	1	no	—
1023	C₂×#124	—	13	1	no	—
1024	C₂×#124	—	13	1	no	—
1025	C₂×#124	—	13	1	no	—
1026	C₂×#124	—	13	1	no	—
1027	C₂×#124	—	13	1	no	—
1028	C₂×#124	—	13	1	no	—
1029	C₂×#124	—	13	1	no	—
1030	C₂×#124	—	13	1	no	—
1031	C₂×#124	—	13	1	no	—
1032	C₂×#124	—	13	1	no	—
1033	C₂×#124	—	13	1	no	—
1034	C₂×#124	—	13	1	no	—
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	C₂×#124	—	13	1	no	—
1043	C₂×#124	—	13	1	no	—
1044	C₂×#124	—	13	1	no	—
1045	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
1046	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
1048	#525	—	13	16	no	—
1049	#525	—	13	16	no	—
1050	#525	—	13	16	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	1	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	C₂×D₁₃	1	1	yes	characteristic, complemented
1068	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
1069	C₂×C₂²⋊Q₈	—	13	1	no	—
1070	C₂×C₂²⋊Q₈	—	13	1	no	—
1071	C₂×C₂²⋊Q₈	—	13	1	no	—
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	—	13	1	no	—
1102	C₂×#121	—	13	1	no	—
1103	C₂×#121	—	13	1	no	—
1104	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
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	C₂×#120	—	13	1	no	—
1111	C₂×#120	—	13	1	no	—
1112	C₂×#120	—	13	1	no	—
1113	C₂×#120	—	13	1	no	—
1114	C₂×#120	—	13	1	no	—
1115	C₂×#120	—	13	1	no	—
1116	C₂×#120	—	13	1	no	—
1117	C₂×#120	—	13	1	no	—
1118	C₂×#120	—	13	1	no	—
1119	C₂×C₄×Q₈	—	13	1	no	—
1120	C₂×C₄×Q₈	—	13	1	no	—
1121	C₂×C₄×Q₈	—	13	1	no	—
1122	C₂×C₄×Q₈	—	13	1	no	—
1123	C₂×C₄×Q₈	—	13	1	no	—
1124	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1143	C₂×#117	—	13	1	no	—
1144	C₂×#117	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1152	C₂²×C₂²⋊C₄	—	13	1	no	—
1153	C₂²×C₂²⋊C₄	—	13	1	no	—
1154	C₂²×C₂²⋊C₄	—	13	1	no	—
1155	C₂²×C₂²⋊C₄	—	13	1	no	—
1156	C₂²×C₁₃	—	2	2	no	—
1157	C₂²×C₁₃	—	2	2	no	—
1158	C₂²×C₁₃	—	2	2	no	—
1159	C₂²×C₁₃	—	2	2	no	—
1160	C₂²×C₁₃	—	2	2	no	—
1161	C₂²×C₁₃	—	2	2	no	—
1162	C₂²×C₁₃	—	2	2	no	—
1163	C₂²×C₁₃	—	2	2	no	—
1164	C₂²×C₁₃	—	2	2	no	—
1165	C₂²×C₁₃	—	4	4	no	—
1166	C₂²×C₁₃	—	4	4	no	—
1167	C₂²×C₁₃	—	4	4	no	—
1168	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1169	C₂²×C₁₃	#585	1	2	yes	—
1170	C₂²×C₁₃	#585	1	2	yes	—
1171	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1172	C₂×D₁₃	—	2	2	no	—
1173	C₂×D₁₃	—	2	2	no	—
1174	C₂×D₁₃	—	2	2	no	—
1175	C₂×D₁₃	—	2	2	no	—
1176	C₂×D₁₃	—	2	2	no	—
1177	C₂×D₁₃	—	2	2	no	—
1178	C₂×D₁₃	—	2	2	no	—
1179	C₂×D₁₃	—	2	2	no	—
1180	C₂×D₁₃	—	2	2	no	—
1181	C₂×D₁₃	—	2	2	no	—
1182	C₂×D₁₃	—	2	2	no	—
1183	C₂×D₁₃	—	2	2	no	—
1184	C₂×D₁₃	—	2	2	no	—
1185	C₂×D₁₃	—	2	2	no	—
1186	C₂×D₁₃	—	2	2	no	—
1187	C₂×D₁₃	—	2	2	no	—
1188	C₂×D₁₃	—	2	2	no	—
1189	C₂×D₁₃	—	2	2	no	—
1190	C₂×D₁₃	—	4	16	no	—
1191	C₂×D₁₃	—	4	4	no	—
1192	C₂×D₁₃	—	4	4	no	—
1193	C₂×D₁₃	—	4	4	no	—
1194	C₂×D₁₃	—	4	4	no	—
1195	C₂×D₁₃	—	4	4	no	—
1196	C₂×D₁₃	—	4	4	no	—
1197	C₂×D₁₃	—	8	8	no	—
1198	C₂×D₁₃	—	8	8	no	—
1199	C₄×C₁₃	—	2	2	no	—
1200	C₄×C₁₃	—	2	2	no	—
1201	C₄×C₁₃	—	2	2	no	—
1202	C₄×C₁₃	—	2	2	no	—
1203	C₄×C₁₃	—	2	2	no	—
1204	C₄×C₁₃	—	2	2	no	—
1205	C₄×C₁₃	—	2	2	no	—
1206	C₄×C₁₃	—	2	2	no	—
1207	C₄×C₁₃	—	2	2	no	—
1208	C₄×C₁₃	—	2	2	no	—
1209	C₄×C₁₃	—	2	2	no	—
1210	C₄×C₁₃	—	2	2	no	—
1211	Dic₁₃	—	2	2	no	—
1212	Dic₁₃	—	2	2	no	—
1213	Dic₁₃	—	2	2	no	—
1214	Dic₁₃	—	2	2	no	—
1215	Dic₁₃	—	2	2	no	—
1216	Dic₁₃	—	2	2	no	—
1217	Dic₁₃	—	2	2	no	—
1218	Dic₁₃	—	2	2	no	—
1219	Dic₁₃	—	2	2	no	—
1220	Dic₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
1221	C₂⁵	—	13	1	no	—
1222	C₂⁵	—	13	1	no	—
1223	C₂⁵	—	13	1	no	—
1224	C₂×#41	—	13	8	no	—
1225	C₂×#41	—	13	8	no	—
1226	C₂×#41	—	13	8	no	—
1227	C₂×#41	—	52	4	no	—
1228	C₂×#41	—	52	4	no	—
1229	C₂×#41	—	52	4	no	—
1230	C₂²×Q₈	—	13	8	no	—
1231	C₂²×Q₈	—	13	1	no	—
1232	C₂²×Q₈	—	13	1	no	—
1233	C₂²×Q₈	—	13	1	no	—
1234	C₂²×Q₈	—	13	1	no	—
1235	C₂²×Q₈	—	13	1	no	—
1236	C₂²×Q₈	—	13	1	no	—
1237	C₂²×Q₈	—	52	4	no	—
1238	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1239	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1240	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1241	C₂²×D₄	—	13	1	no	—
1242	C₂²×D₄	—	13	1	no	—
1243	C₂²×D₄	—	13	1	no	—
1244	C₂²×D₄	—	13	1	no	—
1245	C₂²×D₄	—	13	1	no	—
1246	C₂²×D₄	—	13	1	no	—
1247	C₂²×D₄	—	13	1	no	—
1248	C₂²×D₄	—	13	1	no	—
1249	C₂²×D₄	—	13	1	no	—
1250	C₂²×D₄	—	13	1	no	—
1251	C₂²×D₄	—	13	1	no	—
1252	C₂²×D₄	—	13	1	no	—
1253	C₂²×D₄	—	13	8	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	1	no	—
1262	C₂²×D₄	—	13	1	no	—
1263	C₂²×D₄	—	13	1	no	—
1264	C₂²×D₄	—	13	1	no	—
1265	C₂²×D₄	—	13	1	no	—
1266	C₂²×D₄	—	52	4	no	—
1267	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1268	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1269	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1270	C₂³×C₄	—	13	1	no	—
1271	C₂³×C₄	—	13	1	no	—
1272	C₂³×C₄	—	13	1	no	—
1273	C₂³×C₄	—	13	1	no	—
1274	C₂³×C₄	—	13	1	no	—
1275	C₂³×C₄	—	13	1	no	—
1276	C₂³×C₄	—	13	1	no	—
1277	C₂³×C₄	—	13	1	no	—
1278	C₂³×C₄	—	13	1	no	—
1279	C₂³×C₄	—	13	1	no	—
1280	C₂³×C₄	—	13	1	no	—
1281	C₂³×C₄	—	13	1	no	—
1282	C₂³×C₄	—	13	1	no	—
1283	C₂³×C₄	—	13	1	no	—
1284	C₂³×C₄	—	13	1	no	—
1285	C₂³×C₄	—	13	8	no	—
1286	C₂³×C₄	—	52	4	no	—
1287	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1288	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1289	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1290	C₄⋊Q₈	—	13	8	no	—
1291	C₄⋊Q₈	—	13	8	no	—
1292	C₄⋊Q₈	—	13	8	no	—
1293	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1294	#127	—	13	8	no	—
1295	#127	—	13	8	no	—
1296	#126	—	13	8	no	—
1297	#126	—	13	8	no	—
1298	#126	—	13	8	no	—
1299	#126	—	13	8	no	—
1300	#126	—	13	8	no	—
1301	#126	—	13	8	no	—
1302	#126	—	13	8	no	—
1303	#126	—	13	8	no	—
1304	#126	—	13	8	no	—
1305	#126	—	13	8	no	—
1306	#126	C₂²×D₁₃	1	8	yes	complemented
1307	#126	C₂²×D₁₃	1	8	yes	complemented
1308	#124	—	13	8	no	—
1309	#124	—	13	8	no	—
1310	#124	—	13	8	no	—
1311	#124	—	13	8	no	—
1312	#124	—	13	8	no	—
1313	#124	—	13	8	no	—
1314	#124	—	13	8	no	—
1315	#124	—	13	8	no	—
1316	#124	—	13	8	no	—
1317	#124	—	13	8	no	—
1318	#124	—	13	8	no	—
1319	#124	—	13	8	no	—
1320	#124	—	13	8	no	—
1321	#124	—	13	8	no	—
1322	#124	—	13	8	no	—
1323	#124	—	13	8	no	—
1324	#124	—	13	8	no	—
1325	#124	—	13	8	no	—
1326	#124	—	13	8	no	—
1327	#124	—	13	8	no	—
1328	#124	—	13	8	no	—
1329	#124	—	13	8	no	—
1330	#124	—	13	8	no	—
1331	#124	C₂²×D₁₃	1	8	yes	complemented
1332	#124	C₂²×D₁₃	1	8	yes	complemented
1333	#124	C₂²×D₁₃	1	8	yes	complemented
1334	#123	—	13	8	no	—
1335	#123	—	13	8	no	—
1336	#123	—	13	8	no	—
1337	#123	—	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	C₂²×D₁₃	1	8	yes	complemented
1351	#123	C₂²×D₁₃	1	8	yes	complemented
1352	C₂²⋊Q₈	—	13	8	no	—
1353	C₂²⋊Q₈	—	13	8	no	—
1354	C₂²⋊Q₈	—	13	8	no	—
1355	C₂²⋊Q₈	—	13	8	no	—
1356	C₂²⋊Q₈	—	13	8	no	—
1357	C₂²⋊Q₈	—	13	8	no	—
1358	C₂²⋊Q₈	—	13	8	no	—
1359	C₂²⋊Q₈	—	13	8	no	—
1360	C₂²⋊Q₈	—	13	8	no	—
1361	C₂²⋊Q₈	—	13	8	no	—
1362	C₂²⋊Q₈	—	13	8	no	—
1363	C₂²⋊Q₈	—	13	8	no	—
1364	C₂²⋊Q₈	—	13	8	no	—
1365	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1366	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1367	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
1368	#121	—	13	8	no	—
1369	#121	—	13	8	no	—
1370	#121	—	13	8	no	—
1371	#121	—	13	8	no	—
1372	#121	—	13	8	no	—
1373	#121	—	13	8	no	—
1374	#121	—	13	8	no	—
1375	#121	—	13	8	no	—
1376	#121	—	13	8	no	—
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	C₂²×D₁₃	1	8	yes	—
1388	#120	—	13	8	no	—
1389	#120	—	13	8	no	—
1390	#120	—	13	8	no	—
1391	#120	—	13	8	no	—
1392	#120	—	13	8	no	—
1393	#120	—	13	8	no	—
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×Q₈	—	13	8	no	—
1406	C₄×Q₈	—	13	8	no	—
1407	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
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	C₂²×D₁₃	1	8	yes	complemented
1426	#117	—	13	8	no	—
1427	#117	—	13	8	no	—
1428	#117	—	13	8	no	—
1429	#117	—	13	8	no	—
1430	#117	—	13	8	no	—
1431	#117	—	13	8	no	—
1432	#117	—	13	8	no	—
1433	#117	—	13	8	no	—
1434	#117	C₂²×D₁₃	1	8	yes	complemented
1435	C₂×C₄⋊C₄	—	13	1	no	—
1436	C₂×C₄⋊C₄	—	13	1	no	—
1437	C₂×C₄⋊C₄	—	13	1	no	—
1438	C₂×C₄⋊C₄	—	13	1	no	—
1439	C₂×C₄⋊C₄	—	13	1	no	—
1440	C₂×C₄⋊C₄	—	13	1	no	—
1441	C₂×C₄⋊C₄	—	13	1	no	—
1442	C₂×C₄⋊C₄	—	13	1	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	C₂²×D₁₃	1	1	yes	characteristic
1456	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1457	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1458	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1459	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1460	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1461	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1462	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1463	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1464	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1465	C₂×C₂²⋊C₄	—	13	1	no	—
1466	C₂×C₂²⋊C₄	—	13	1	no	—
1467	C₂×C₂²⋊C₄	—	13	1	no	—
1468	C₂×C₂²⋊C₄	—	13	1	no	—
1469	C₂×C₂²⋊C₄	—	13	1	no	—
1470	C₂×C₂²⋊C₄	—	13	1	no	—
1471	C₂×C₂²⋊C₄	—	13	1	no	—
1472	C₂×C₂²⋊C₄	—	13	1	no	—
1473	C₂×C₂²⋊C₄	—	13	1	no	—
1474	C₂×C₂²⋊C₄	—	13	1	no	—
1475	C₂×C₂²⋊C₄	—	13	1	no	—
1476	C₂×C₂²⋊C₄	—	13	1	no	—
1477	C₂×C₂²⋊C₄	—	13	1	no	—
1478	C₂×C₂²⋊C₄	—	13	1	no	—
1479	C₂×C₂²⋊C₄	—	13	1	no	—
1480	C₂×C₂²⋊C₄	—	13	1	no	—
1481	C₂×C₂²⋊C₄	—	13	8	no	—
1482	C₂×C₂²⋊C₄	—	13	8	no	—
1483	C₂×C₂²⋊C₄	—	13	1	no	—
1484	C₂×C₂²⋊C₄	—	13	1	no	—
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	1	no	—
1508	C₂×C₂²⋊C₄	—	13	1	no	—
1509	C₂×C₂²⋊C₄	—	13	8	no	—
1510	C₂×C₂²⋊C₄	—	13	8	no	—
1511	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1512	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1513	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1514	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1515	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1516	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1517	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1518	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1519	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1520	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1521	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1522	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1523	C₂×C₄²	—	13	1	no	—
1524	C₂×C₄²	—	13	1	no	—
1525	C₂×C₄²	—	13	1	no	—
1526	C₂×C₄²	—	13	1	no	—
1527	C₂×C₄²	—	13	1	no	—
1528	C₂×C₄²	—	13	1	no	—
1529	C₂×C₄²	—	13	1	no	—
1530	C₂×C₄²	—	13	1	no	—
1531	C₂×C₄²	—	13	1	no	—
1532	C₂×C₄²	—	13	1	no	—
1533	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1534	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1535	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1536	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1537	C₂×C₁₃	—	4	2	no	—
1538	C₂×C₁₃	—	4	2	no	—
1539	C₂×C₁₃	—	4	2	no	—
1540	C₂×C₁₃	#3540	1	4	yes	complemented
1541	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1542	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1543	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1544	D₁₃	—	4	2	no	—
1545	D₁₃	—	4	2	no	—
1546	D₁₃	—	4	2	no	—
1547	D₁₃	—	4	2	no	—
1548	D₁₃	—	4	2	no	—
1549	D₁₃	—	4	2	no	—
1550	C₂⁴	—	13	1	no	—
1551	C₂⁴	—	13	1	no	—
1552	C₂⁴	—	13	1	no	—
1553	C₂⁴	—	13	1	no	—
1554	C₂⁴	—	13	1	no	—
1555	C₂⁴	—	13	1	no	—
1556	C₂⁴	—	13	4	no	—
1557	C₂⁴	—	13	4	no	—
1558	C₂⁴	—	13	4	no	—
1559	C₂⁴	—	52	2	no	—
1560	C₂⁴	—	52	2	no	—
1561	C₂⁴	—	52	2	no	—
1562	C₂⁴	—	52	2	no	—
1563	C₂⁴	—	52	2	no	—
1564	C₂⁴	—	52	2	no	—
1565	C₂⁴	—	52	2	no	—
1566	C₂⁴	—	52	2	no	—
1567	C₂⁴	—	52	2	no	—
1568	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1569	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1570	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1571	#41	—	52	16	no	—
1572	#41	—	52	16	no	—
1573	#41	—	52	16	no	—
1574	C₂×Q₈	—	4	2	no	—
1575	C₂×Q₈	—	4	2	no	—
1576	C₂×Q₈	—	4	2	no	—
1577	C₂×Q₈	—	13	4	no	—
1578	C₂×Q₈	—	13	4	no	—
1579	C₂×Q₈	—	13	4	no	—
1580	C₂×Q₈	—	13	4	no	—
1581	C₂×Q₈	—	13	4	no	—
1582	C₂×Q₈	—	13	4	no	—
1583	C₂×Q₈	—	26	4	no	—
1584	C₂×Q₈	—	26	4	no	—
1585	C₂×Q₈	—	52	2	no	—
1586	C₂×Q₈	—	52	2	no	—
1587	C₂×Q₈	—	52	2	no	—
1588	C₂×Q₈	—	52	2	no	—
1589	C₂×Q₈	—	52	16	no	—
1590	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1591	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1592	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1593	C₂×D₄	—	4	2	no	—
1594	C₂×D₄	—	4	2	no	—
1595	C₂×D₄	—	4	2	no	—
1596	C₂×D₄	—	13	4	no	—
1597	C₂×D₄	—	13	4	no	—
1598	C₂×D₄	—	13	4	no	—
1599	C₂×D₄	—	13	4	no	—
1600	C₂×D₄	—	13	4	no	—
1601	C₂×D₄	—	13	4	no	—
1602	C₂×D₄	—	13	4	no	—
1603	C₂×D₄	—	13	4	no	—
1604	C₂×D₄	—	13	4	no	—
1605	C₂×D₄	—	13	4	no	—
1606	C₂×D₄	—	13	4	no	—
1607	C₂×D₄	—	13	4	no	—
1608	C₂×D₄	—	13	4	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	—	26	4	no	—
1621	C₂×D₄	—	26	4	no	—
1622	C₂×D₄	—	52	2	no	—
1623	C₂×D₄	—	52	2	no	—
1624	C₂×D₄	—	52	2	no	—
1625	C₂×D₄	—	52	2	no	—
1626	C₂×D₄	—	52	2	no	—
1627	C₂×D₄	—	52	2	no	—
1628	C₂×D₄	—	52	2	no	—
1629	C₂×D₄	—	52	2	no	—
1630	C₂×D₄	—	52	2	no	—
1631	C₂×D₄	—	52	2	no	—
1632	C₂×D₄	—	52	2	no	—
1633	C₂×D₄	—	52	2	no	—
1634	C₂×D₄	—	52	16	no	—
1635	C₂×D₄	—	52	2	no	—
1636	C₂×D₄	—	52	2	no	—
1637	C₂×D₄	—	52	2	no	—
1638	C₂×D₄	—	52	2	no	—
1639	C₂×D₄	—	52	2	no	—
1640	C₂×D₄	—	52	2	no	—
1641	C₂×D₄	—	52	2	no	—
1642	C₂×D₄	—	52	2	no	—
1643	C₂×D₄	—	52	2	no	—
1644	C₂×D₄	—	52	2	no	—
1645	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1646	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1647	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1648	C₂²×C₄	—	4	2	no	—
1649	C₂²×C₄	—	4	2	no	—
1650	C₂²×C₄	—	4	2	no	—
1651	C₂²×C₄	—	13	1	no	—
1652	C₂²×C₄	—	13	4	no	—
1653	C₂²×C₄	—	13	1	no	—
1654	C₂²×C₄	—	13	1	no	—
1655	C₂²×C₄	—	13	1	no	—
1656	C₂²×C₄	—	13	1	no	—
1657	C₂²×C₄	—	13	1	no	—
1658	C₂²×C₄	—	13	1	no	—
1659	C₂²×C₄	—	13	1	no	—
1660	C₂²×C₄	—	13	1	no	—
1661	C₂²×C₄	—	13	1	no	—
1662	C₂²×C₄	—	13	4	no	—
1663	C₂²×C₄	—	13	4	no	—
1664	C₂²×C₄	—	13	4	no	—
1665	C₂²×C₄	—	13	4	no	—
1666	C₂²×C₄	—	13	4	no	—
1667	C₂²×C₄	—	13	4	no	—
1668	C₂²×C₄	—	13	4	no	—
1669	C₂²×C₄	—	13	4	no	—
1670	C₂²×C₄	—	13	4	no	—
1671	C₂²×C₄	—	13	4	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	—	26	4	no	—
1677	C₂²×C₄	—	26	4	no	—
1678	C₂²×C₄	—	26	4	no	—
1679	C₂²×C₄	—	26	4	no	—
1680	C₂²×C₄	—	26	4	no	—
1681	C₂²×C₄	—	52	2	no	—
1682	C₂²×C₄	—	52	2	no	—
1683	C₂²×C₄	—	52	2	no	—
1684	C₂²×C₄	—	52	2	no	—
1685	C₂²×C₄	—	52	2	no	—
1686	C₂²×C₄	—	52	2	no	—
1687	C₂²×C₄	—	52	2	no	—
1688	C₂²×C₄	—	52	2	no	—
1689	C₂²×C₄	—	52	16	no	—
1690	C₂²×C₄	—	52	2	no	—
1691	C₂²×C₄	—	52	2	no	—
1692	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1693	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1694	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1695	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1696	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1697	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1698	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1699	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1700	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1701	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1702	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1703	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1704	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1705	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1706	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1707	C₄⋊C₄	—	13	4	no	—
1708	C₄⋊C₄	—	13	4	no	—
1709	C₄⋊C₄	—	13	4	no	—
1710	C₄⋊C₄	—	13	4	no	—
1711	C₄⋊C₄	—	13	4	no	—
1712	C₄⋊C₄	—	13	4	no	—
1713	C₄⋊C₄	—	13	4	no	—
1714	C₄⋊C₄	—	13	4	no	—
1715	C₄⋊C₄	—	13	4	no	—
1716	C₄⋊C₄	—	13	4	no	—
1717	C₄⋊C₄	—	13	4	no	—
1718	C₄⋊C₄	—	13	4	no	—
1719	C₄⋊C₄	—	13	4	no	—
1720	C₄⋊C₄	—	13	4	no	—
1721	C₄⋊C₄	—	13	4	no	—
1722	C₄⋊C₄	—	13	4	no	—
1723	C₄⋊C₄	—	13	4	no	—
1724	C₄⋊C₄	—	13	4	no	—
1725	C₄⋊C₄	—	13	4	no	—
1726	C₄⋊C₄	—	13	4	no	—
1727	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1728	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1729	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1730	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1731	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1732	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1733	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1734	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1735	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1736	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1737	C₂²⋊C₄	—	13	4	no	—
1738	C₂²⋊C₄	—	13	4	no	—
1739	C₂²⋊C₄	—	13	4	no	—
1740	C₂²⋊C₄	—	13	4	no	—
1741	C₂²⋊C₄	—	13	4	no	—
1742	C₂²⋊C₄	—	13	4	no	—
1743	C₂²⋊C₄	—	13	4	no	—
1744	C₂²⋊C₄	—	13	4	no	—
1745	C₂²⋊C₄	—	13	4	no	—
1746	C₂²⋊C₄	—	13	4	no	—
1747	C₂²⋊C₄	—	13	4	no	—
1748	C₂²⋊C₄	—	13	4	no	—
1749	C₂²⋊C₄	—	13	4	no	—
1750	C₂²⋊C₄	—	13	4	no	—
1751	C₂²⋊C₄	—	13	4	no	—
1752	C₂²⋊C₄	—	13	4	no	—
1753	C₂²⋊C₄	—	13	4	no	—
1754	C₂²⋊C₄	—	13	4	no	—
1755	C₂²⋊C₄	—	13	4	no	—
1756	C₂²⋊C₄	—	13	4	no	—
1757	C₂²⋊C₄	—	13	4	no	—
1758	C₂²⋊C₄	—	13	4	no	—
1759	C₂²⋊C₄	—	13	4	no	—
1760	C₂²⋊C₄	—	13	4	no	—
1761	C₂²⋊C₄	—	13	4	no	—
1762	C₂²⋊C₄	—	13	4	no	—
1763	C₂²⋊C₄	—	13	4	no	—
1764	C₂²⋊C₄	—	13	4	no	—
1765	C₂²⋊C₄	—	13	4	no	—
1766	C₂²⋊C₄	—	13	4	no	—
1767	C₂²⋊C₄	—	13	4	no	—
1768	C₂²⋊C₄	—	13	4	no	—
1769	C₂²⋊C₄	—	13	4	no	—
1770	C₂²⋊C₄	—	13	4	no	—
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	C₂³×D₁₃	1	4	yes	—
1780	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1781	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1782	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1783	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1784	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1785	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1786	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1787	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1788	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1789	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1790	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1791	C₄²	—	13	4	no	—
1792	C₄²	—	13	4	no	—
1793	C₄²	—	13	4	no	—
1794	C₄²	—	13	4	no	—
1795	C₄²	—	13	4	no	—
1796	C₄²	—	13	4	no	—
1797	C₄²	—	13	4	no	—
1798	C₄²	—	13	4	no	—
1799	C₄²	—	13	4	no	—
1800	C₄²	—	13	4	no	—
1801	C₄²	C₂³×D₁₃	1	4	yes	—
1802	C₄²	C₂³×D₁₃	1	4	yes	—
1803	C₄²	C₂³×D₁₃	1	4	yes	—
1804	C₄²	C₂³×D₁₃	1	4	yes	—
1805	C₁₃	C₂×#3540	1	1	yes	characteristic, complemented, Sylow
1806	C₂³	—	2	2	no	—
1807	C₂³	—	2	2	no	—
1808	C₂³	—	2	2	no	—
1809	C₂³	—	2	2	no	—
1810	C₂³	—	2	2	no	—
1811	C₂³	—	2	2	no	—
1812	C₂³	—	2	2	no	—
1813	C₂³	—	2	2	no	—
1814	C₂³	—	2	2	no	—
1815	C₂³	—	13	2	no	—
1816	C₂³	—	13	2	no	—
1817	C₂³	—	13	2	no	—
1818	C₂³	—	13	2	no	—
1819	C₂³	—	13	2	no	—
1820	C₂³	—	13	2	no	—
1821	C₂³	—	26	2	no	—
1822	C₂³	—	26	2	no	—
1823	C₂³	—	26	2	no	—
1824	C₂³	—	26	2	no	—
1825	C₂³	—	26	2	no	—
1826	C₂³	—	26	2	no	—
1827	C₂³	—	26	2	no	—
1828	C₂³	—	26	2	no	—
1829	C₂³	—	26	2	no	—
1830	C₂³	—	26	2	no	—
1831	C₂³	—	26	2	no	—
1832	C₂³	—	26	2	no	—
1833	C₂³	—	26	2	no	—
1834	C₂³	—	26	2	no	—
1835	C₂³	—	26	2	no	—
1836	C₂³	—	26	2	no	—
1837	C₂³	—	26	2	no	—
1838	C₂³	—	26	2	no	—
1839	C₂³	—	52	4	no	—
1840	C₂³	—	52	4	no	—
1841	C₂³	—	52	4	no	—
1842	C₂³	—	52	4	no	—
1843	C₂³	—	52	4	no	—
1844	C₂³	—	52	4	no	—
1845	C₂³	—	52	4	no	—
1846	C₂³	—	52	4	no	—
1847	C₂³	—	52	4	no	—
1848	C₂³	—	52	16	no	—
1849	C₂³	—	104	8	no	—
1850	C₂³	—	104	8	no	—
1851	C₂³	C₂⁴×D₁₃	1	2	yes	—
1852	C₂³	C₂⁴×D₁₃	1	2	yes	—
1853	C₂³	C₂⁴×D₁₃	1	2	yes	—
1854	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1855	Q₈	—	4	4	no	—
1856	Q₈	—	4	4	no	—
1857	Q₈	—	4	4	no	—
1858	Q₈	—	26	8	no	—
1859	Q₈	—	26	8	no	—
1860	Q₈	—	52	4	no	—
1861	Q₈	—	52	4	no	—
1862	Q₈	—	52	4	no	—
1863	Q₈	—	52	4	no	—
1864	D₄	—	4	4	no	—
1865	D₄	—	4	4	no	—
1866	D₄	—	4	4	no	—
1867	D₄	—	26	8	no	—
1868	D₄	—	26	8	no	—
1869	D₄	—	52	4	no	—
1870	D₄	—	52	4	no	—
1871	D₄	—	52	4	no	—
1872	D₄	—	52	4	no	—
1873	D₄	—	52	4	no	—
1874	D₄	—	52	4	no	—
1875	D₄	—	52	4	no	—
1876	D₄	—	52	4	no	—
1877	D₄	—	52	4	no	—
1878	D₄	—	52	4	no	—
1879	D₄	—	52	4	no	—
1880	D₄	—	52	4	no	—
1881	D₄	—	52	4	no	—
1882	D₄	—	52	4	no	—
1883	D₄	—	52	4	no	—
1884	D₄	—	52	4	no	—
1885	D₄	—	52	4	no	—
1886	D₄	—	52	4	no	—
1887	D₄	—	52	4	no	—
1888	D₄	—	52	4	no	—
1889	D₄	—	52	4	no	—
1890	D₄	—	52	4	no	—
1891	C₂×C₄	—	2	2	no	—
1892	C₂×C₄	—	2	2	no	—
1893	C₂×C₄	—	2	2	no	—
1894	C₂×C₄	—	2	2	no	—
1895	C₂×C₄	—	2	2	no	—
1896	C₂×C₄	—	2	2	no	—
1897	C₂×C₄	—	2	2	no	—
1898	C₂×C₄	—	2	2	no	—
1899	C₂×C₄	—	2	2	no	—
1900	C₂×C₄	—	2	2	no	—
1901	C₂×C₄	—	2	2	no	—
1902	C₂×C₄	—	2	2	no	—
1903	C₂×C₄	—	4	4	no	—
1904	C₂×C₄	—	4	4	no	—
1905	C₂×C₄	—	4	4	no	—
1906	C₂×C₄	—	13	4	no	—
1907	C₂×C₄	—	13	2	no	—
1908	C₂×C₄	—	13	2	no	—
1909	C₂×C₄	—	13	2	no	—
1910	C₂×C₄	—	13	2	no	—
1911	C₂×C₄	—	13	2	no	—
1912	C₂×C₄	—	13	2	no	—
1913	C₂×C₄	—	13	2	no	—
1914	C₂×C₄	—	13	2	no	—
1915	C₂×C₄	—	13	2	no	—
1916	C₂×C₄	—	13	2	no	—
1917	C₂×C₄	—	26	8	no	—
1918	C₂×C₄	—	26	8	no	—
1919	C₂×C₄	—	26	8	no	—
1920	C₂×C₄	—	26	8	no	—
1921	C₂×C₄	—	26	8	no	—
1922	C₂×C₄	—	26	2	no	—
1923	C₂×C₄	—	26	2	no	—
1924	C₂×C₄	—	26	2	no	—
1925	C₂×C₄	—	26	2	no	—
1926	C₂×C₄	—	26	2	no	—
1927	C₂×C₄	—	26	2	no	—
1928	C₂×C₄	—	26	2	no	—
1929	C₂×C₄	—	26	2	no	—
1930	C₂×C₄	—	26	2	no	—
1931	C₂×C₄	—	52	4	no	—
1932	C₂×C₄	—	52	4	no	—
1933	C₂×C₄	—	52	4	no	—
1934	C₂×C₄	—	52	4	no	—
1935	C₂×C₄	—	52	4	no	—
1936	C₂×C₄	—	52	4	no	—
1937	C₂×C₄	—	52	4	no	—
1938	C₂×C₄	—	52	4	no	—
1939	C₂×C₄	—	52	4	no	—
1940	C₂×C₄	—	52	4	no	—
1941	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1942	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1943	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1944	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1945	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1946	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1947	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1948	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1949	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1950	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1951	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1952	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1953	C₂²	—	2	2	no	—
1954	C₂²	—	2	2	no	—
1955	C₂²	—	2	2	no	—
1956	C₂²	—	2	2	no	—
1957	C₂²	—	2	2	no	—
1958	C₂²	—	2	2	no	—
1959	C₂²	—	2	2	no	—
1960	C₂²	—	2	2	no	—
1961	C₂²	—	2	2	no	—
1962	C₂²	—	4	4	no	—
1963	C₂²	—	4	4	no	—
1964	C₂²	—	4	4	no	—
1965	C₂²	—	26	2	no	—
1966	C₂²	—	26	2	no	—
1967	C₂²	—	26	2	no	—
1968	C₂²	—	26	2	no	—
1969	C₂²	—	26	2	no	—
1970	C₂²	—	26	2	no	—
1971	C₂²	—	26	2	no	—
1972	C₂²	—	26	2	no	—
1973	C₂²	—	26	2	no	—
1974	C₂²	—	26	2	no	—
1975	C₂²	—	26	2	no	—
1976	C₂²	—	26	2	no	—
1977	C₂²	—	26	2	no	—
1978	C₂²	—	26	2	no	—
1979	C₂²	—	26	2	no	—
1980	C₂²	—	26	2	no	—
1981	C₂²	—	26	2	no	—
1982	C₂²	—	26	2	no	—
1983	C₂²	—	52	16	no	—
1984	C₂²	—	52	4	no	—
1985	C₂²	—	52	4	no	—
1986	C₂²	—	52	4	no	—
1987	C₂²	—	52	4	no	—
1988	C₂²	—	52	4	no	—
1989	C₂²	—	52	4	no	—
1990	C₂²	—	104	8	no	—
1991	C₂²	—	104	8	no	—
1992	C₂²	#11719648	1	2	yes	—
1993	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1994	C₂²	#11719652	1	2	yes	—
1995	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1996	C₄	—	2	2	no	—
1997	C₄	—	2	2	no	—
1998	C₄	—	2	2	no	—
1999	C₄	—	2	2	no	—
2000	C₄	—	2	2	no	—
2001	C₄	—	2	2	no	—
2002	C₄	—	2	2	no	—
2003	C₄	—	2	2	no	—
2004	C₄	—	2	2	no	—
2005	C₄	—	2	2	no	—
2006	C₄	—	2	2	no	—
2007	C₄	—	2	2	no	—
2008	C₄	—	13	4	no	—
2009	C₄	—	26	2	no	—
2010	C₄	—	26	2	no	—
2011	C₄	—	26	2	no	—
2012	C₄	—	26	2	no	—
2013	C₄	—	26	2	no	—
2014	C₄	—	26	2	no	—
2015	C₄	—	26	2	no	—
2016	C₄	—	26	2	no	—
2017	C₄	—	26	2	no	—
2018	C₂	—	4	2	no	—
2019	C₂	—	4	2	no	—
2020	C₂	—	4	2	no	—
2021	C₂	—	52	2	no	—
2022	C₂	—	52	2	no	—
2023	C₂	—	52	2	no	—
2024	C₂	—	52	2	no	—
2025	C₂	—	52	2	no	—
2026	C₂	—	52	2	no	—
2027	C₂	#13129101	1	4	yes	direct product factor
2028	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
2029	C₂	C₂×#11719648	1	1	yes	characteristic
2030	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×#542	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#542	D₁₃
hypocenter	C₁₃	C₂×#3540
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #13129101	C₂	direct (N × H)
2. C₂×#11719388	C₂	semidirect
3. C₂×#11719388	C₂	semidirect
4. C₂×#11719416	C₂	semidirect
5. C₂×#11719325	C₂	semidirect
6. C₂×#11719290	C₂	semidirect
7. C₂×#11719369	C₂	semidirect
8. C₂×#11719273	C₂	semidirect
9. C₂×#11719407	C₂	semidirect
10. C₂×#11719237	C₂	semidirect
11. C₂×#11719375	C₂	semidirect
12. C₂×#11719342	C₂	semidirect
13. C₂×#11719232	C₂	semidirect
14. C₂×#11719338	C₂	semidirect
15. C₂×#11719382	C₂	semidirect
16. C₂×#11719359	C₂	semidirect
17. C₂×#11719315	C₂	semidirect
18. C₂×#11719438	C₂	semidirect
19. C₂×#11719345	C₂	semidirect
20. C₂×#11719345	C₂	semidirect
21. C₂×#11719415	C₂	semidirect
22. C₂×#11719374	C₂	semidirect
23. C₂×#11719349	C₂	semidirect
24. C₂×#11719409	C₂	semidirect
25. C₂×#11719362	C₂	semidirect
26. C₂×#11719265	C₂	semidirect
27. C₂×#11719429	C₂	semidirect
28. C₂×#11719379	C₂	semidirect
29. C₂×#11719332	C₂	semidirect
30. C₂×#11719252	C₂	semidirect
31. C₂×#11719361	C₂	semidirect
32. C₂×C₁₃×#542	C₂	semidirect
34. C₂²×Q₈×D₁₃	C₂²	semidirect
36. C₂²×D₄×D₁₃	C₂²	semidirect
38. C₂³×C₄×D₁₃	C₂²	semidirect
39. C₁₃×#542	C₂²	semidirect
40. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
41. C₂×C₁₃×#126	C₂²	semidirect
42. C₂×C₁₃×#126	C₂²	semidirect
43. C₂×C₁₃×#124	C₂²	semidirect
44. C₂×C₁₃×#124	C₂²	semidirect
45. C₂×C₁₃×#124	C₂²	semidirect
46. C₂×C₁₃×#123	C₂²	semidirect
47. C₂×C₁₃×#123	C₂²	semidirect
48. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
49. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
53. C₂×C₄×D₄×C₁₃	C₂²	semidirect
54. C₂×C₁₃×#117	C₂²	semidirect
57. C₂×#88201	C₂²	semidirect
58. C₂×#88201	C₂²	semidirect
59. C₂×#88201	C₂²	semidirect
60. C₂×#88201	C₂²	semidirect
61. C₂×#88200	C₂²	semidirect
62. C₂×#88200	C₂²	semidirect
63. C₂×#88198	C₂²	semidirect
64. C₂×#88198	C₂²	semidirect
68. C₂×#88193	C₂²	semidirect
69. C₂×#88192	C₂²	semidirect
72. C₂×#88191	C₂²	semidirect
73. C₂×#88191	C₂²	semidirect
74. C₂×#88189	C₂²	semidirect
76. C₂×#88184	C₂²	semidirect
77. C₂×#88183	C₂²	semidirect
78. C₂×#88183	C₂²	semidirect
79. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
81. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
82. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
83. C₂²×#6103	C₂²	semidirect
84. C₂²×#6103	C₂²	semidirect
85. #11719438	C₂²	semidirect
86. #11719429	C₂²	semidirect
87. #11719416	C₂²	semidirect
88. #11719415	C₂²	semidirect
89. #11719409	C₂²	semidirect
90. #11719407	C₂²	semidirect
91. #11719388	C₂²	semidirect
92. #11719388	C₂²	semidirect
93. #11719382	C₂²	semidirect
94. #11719379	C₂²	semidirect
95. #11719375	C₂²	semidirect
96. #11719374	C₂²	semidirect
97. #11719369	C₂²	semidirect
98. #11719362	C₂²	semidirect
99. #11719361	C₂²	semidirect
100. #11719359	C₂²	semidirect
101. #11719349	C₂²	semidirect
102. #11719345	C₂²	semidirect
103. #11719345	C₂²	semidirect
104. #11719342	C₂²	semidirect
105. #11719338	C₂²	semidirect
106. #11719332	C₂²	semidirect
107. #11719325	C₂²	semidirect
108. #11719315	C₂²	semidirect
109. #11719290	C₂²	semidirect
110. #11719273	C₂²	semidirect
111. #11719265	C₂²	semidirect
112. #11719252	C₂²	semidirect
113. #11719237	C₂²	semidirect
114. #11719232	C₂²	semidirect
115. C₂×#88152	C₂²	semidirect
116. C₂×#88152	C₂²	semidirect
117. C₂×#88152	C₂²	semidirect
118. C₂×#88152	C₂²	semidirect
119. C₂×#88152	C₂²	semidirect
120. C₂×#88152	C₂²	semidirect
121. C₂×#88151	C₂²	semidirect
122. C₂×#88150	C₂²	semidirect
123. C₂×#88150	C₂²	semidirect
124. C₂×#88150	C₂²	semidirect
125. C₂×#88150	C₂²	semidirect
126. C₂×#88150	C₂²	semidirect
127. C₂×#88150	C₂²	semidirect
128. C₂×#88150	C₂²	semidirect
131. C₂×#88149	C₂²	semidirect
132. C₂×#88149	C₂²	semidirect
134. C₂×#88148	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
145. C₂×#88147	C₂²	semidirect
146. C₂×#88147	C₂²	semidirect
147. C₂×#88147	C₂²	semidirect
148. C₂×#88147	C₂²	semidirect
149. C₂×#88146	C₂²	semidirect
150. C₂×#88146	C₂²	semidirect
151. C₂×#88142	C₂²	semidirect
152. C₂×#88141	C₂²	semidirect
153. C₂×#88141	C₂²	semidirect
154. C₂×#88141	C₂²	semidirect
155. C₂×#88140	C₂²	semidirect
158. C₂×#88139	C₂²	semidirect
159. C₂×#88139	C₂²	semidirect
160. C₂×#88139	C₂²	semidirect
161. C₂×#88139	C₂²	semidirect
162. C₂×#88139	C₂²	semidirect
163. C₂×#88139	C₂²	semidirect
164. C₂×#88139	C₂²	semidirect
165. C₂×#88139	C₂²	semidirect
166. C₂×#88139	C₂²	semidirect
167. C₂×#88139	C₂²	semidirect
172. C₂×#88138	C₂²	semidirect
173. C₂×#88138	C₂²	semidirect
174. C₂×#88138	C₂²	semidirect
175. C₂×#88138	C₂²	semidirect
176. C₂×#88138	C₂²	semidirect
177. C₂×#88137	C₂²	semidirect
183. C₂×#88136	C₂²	semidirect
184. C₂×#88136	C₂²	semidirect
185. C₂×#88136	C₂²	semidirect
186. C₂×#88136	C₂²	semidirect
187. C₂×#88136	C₂²	semidirect
189. C₂×#88135	C₂²	semidirect
190. C₂×#88135	C₂²	semidirect
191. C₂×#88135	C₂²	semidirect
192. C₂×#88135	C₂²	semidirect
193. C₂×#88135	C₂²	semidirect
194. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
195. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
196. C₂×#88133	C₂²	semidirect
197. C₂×#88133	C₂²	semidirect
198. C₂×#88132	C₂²	semidirect
199. C₂×#88132	C₂²	semidirect
200. C₂×#88132	C₂²	semidirect
201. C₂×#88131	C₂²	semidirect
202. C₂×#88131	C₂²	semidirect
203. C₂×#88130	C₂²	semidirect
204. C₂×#88130	C₂²	semidirect
207. C₂×#88129	C₂²	semidirect
208. C₂×#88129	C₂²	semidirect
209. C₂×#88129	C₂²	semidirect
211. C₂×C₄×D₅₂	C₂²	semidirect
212. C₂×C₄×D₅₂	C₂²	semidirect
213. C₂×#88126	C₂²	semidirect
214. C₂×#88126	C₂²	semidirect
215. C₂×#88126	C₂²	semidirect
216. C₂×#88126	C₂²	semidirect
217. C₂×C₄×Dic₂₆	C₂²	semidirect
218. C₂×C₄×Dic₂₆	C₂²	semidirect
249. C₂×Q₈×D₁₃	C₂³	semidirect
253. C₂×D₄×D₁₃	C₂³	semidirect
281. C₂²×C₄×D₁₃	C₂³	semidirect
288. C₁₃×C₄⋊Q₈	C₂³	semidirect
289. C₁₃×#126	C₂³	semidirect
290. C₁₃×#126	C₂³	semidirect
291. C₁₃×#124	C₂³	semidirect
292. C₁₃×#124	C₂³	semidirect
293. C₁₃×#124	C₂³	semidirect
294. C₁₃×#123	C₂³	semidirect
295. C₁₃×#123	C₂³	semidirect
296. C₁₃×C₂²⋊Q₈	C₂³	semidirect
297. C₁₃×C₂²⋊Q₈	C₂³	semidirect
298. C₁₃×C₂²⋊Q₈	C₂³	semidirect
300. C₄×Q₈×C₁₃	C₂³	semidirect
301. C₄×D₄×C₁₃	C₂³	semidirect
302. C₁₃×#117	C₂³	semidirect
337. #88201	C₂³	semidirect
338. #88201	C₂³	semidirect
339. #88201	C₂³	semidirect
340. #88201	C₂³	semidirect
341. #88200	C₂³	semidirect
342. #88200	C₂³	semidirect
343. #88198	C₂³	semidirect
344. #88198	C₂³	semidirect
348. #88193	C₂³	semidirect
349. #88192	C₂³	semidirect
352. #88191	C₂³	semidirect
353. #88191	C₂³	semidirect
354. #88189	C₂³	semidirect
356. #88184	C₂³	semidirect
357. #88183	C₂³	semidirect
358. #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
399. C₂×#6103	C₂³	semidirect
400. C₂×#6103	C₂³	semidirect
431. #88152	C₂³	semidirect
432. #88152	C₂³	semidirect
433. #88152	C₂³	semidirect
434. #88152	C₂³	semidirect
435. #88152	C₂³	semidirect
436. #88152	C₂³	semidirect
437. #88151	C₂³	semidirect
438. #88150	C₂³	semidirect
439. #88150	C₂³	semidirect
440. #88150	C₂³	semidirect
441. #88150	C₂³	semidirect
442. #88150	C₂³	semidirect
443. #88150	C₂³	semidirect
444. #88150	C₂³	semidirect
447. #88149	C₂³	semidirect
448. #88149	C₂³	semidirect
450. #88148	C₂³	semidirect
451. #88148	C₂³	semidirect
452. #88148	C₂³	semidirect
453. #88148	C₂³	semidirect
454. #88148	C₂³	semidirect
455. #88148	C₂³	semidirect
456. #88148	C₂³	semidirect
457. #88148	C₂³	semidirect
458. #88148	C₂³	semidirect
459. #88148	C₂³	semidirect
461. #88147	C₂³	semidirect
462. #88147	C₂³	semidirect
463. #88147	C₂³	semidirect
464. #88147	C₂³	semidirect
465. #88146	C₂³	semidirect
466. #88146	C₂³	semidirect
467. #88142	C₂³	semidirect
468. #88141	C₂³	semidirect
469. #88141	C₂³	semidirect
470. #88141	C₂³	semidirect
471. #88140	C₂³	semidirect
474. #88139	C₂³	semidirect
475. #88139	C₂³	semidirect
476. #88139	C₂³	semidirect
477. #88139	C₂³	semidirect
478. #88139	C₂³	semidirect
479. #88139	C₂³	semidirect
480. #88139	C₂³	semidirect
481. #88139	C₂³	semidirect
482. #88139	C₂³	semidirect
483. #88139	C₂³	semidirect
488. #88138	C₂³	semidirect
489. #88138	C₂³	semidirect
490. #88138	C₂³	semidirect
491. #88138	C₂³	semidirect
492. #88138	C₂³	semidirect
493. #88137	C₂³	semidirect
499. #88136	C₂³	semidirect
500. #88136	C₂³	semidirect
501. #88136	C₂³	semidirect
502. #88136	C₂³	semidirect
503. #88136	C₂³	semidirect
505. #88135	C₂³	semidirect
506. #88135	C₂³	semidirect
507. #88135	C₂³	semidirect
508. #88135	C₂³	semidirect
509. #88135	C₂³	semidirect
510. C₂²⋊C₄×D₁₃	C₂³	semidirect
511. C₂²⋊C₄×D₁₃	C₂³	semidirect
512. #88133	C₂³	semidirect
513. #88133	C₂³	semidirect
514. #88132	C₂³	semidirect
515. #88132	C₂³	semidirect
516. #88132	C₂³	semidirect
517. #88131	C₂³	semidirect
518. #88131	C₂³	semidirect
519. #88130	C₂³	semidirect
520. #88130	C₂³	semidirect
523. #88129	C₂³	semidirect
524. #88129	C₂³	semidirect
525. #88129	C₂³	semidirect
527. C₄×D₅₂	C₂³	semidirect
528. C₄×D₅₂	C₂³	semidirect
529. #88126	C₂³	semidirect
530. #88126	C₂³	semidirect
531. #88126	C₂³	semidirect
532. #88126	C₂³	semidirect
533. C₄×Dic₂₆	C₂³	semidirect
534. C₄×Dic₂₆	C₂³	semidirect
813. C₂×#542	D₁₃	semidirect
997. #542	C₂×D₁₃	semidirect
1007. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
1020. C₂×#126	C₂×D₁₃	semidirect
1021. C₂×#126	C₂×D₁₃	semidirect
1045. C₂×#124	C₂×D₁₃	semidirect
1046. C₂×#124	C₂×D₁₃	semidirect
1047. C₂×#124	C₂×D₁₃	semidirect
1067. C₂×#123	C₂×D₁₃	semidirect
1068. 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
1124. C₂×C₄×Q₈	C₂×D₁₃	semidirect
1142. C₂×C₄×D₄	C₂×D₁₃	semidirect
1151. C₂×#117	C₂×D₁₃	semidirect
1293. C₄⋊Q₈	C₂²×D₁₃	semidirect
1306. #126	C₂²×D₁₃	semidirect
1307. #126	C₂²×D₁₃	semidirect
1331. #124	C₂²×D₁₃	semidirect
1332. #124	C₂²×D₁₃	semidirect
1333. #124	C₂²×D₁₃	semidirect
1350. #123	C₂²×D₁₃	semidirect
1351. #123	C₂²×D₁₃	semidirect
1365. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1366. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1367. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1407. C₄×Q₈	C₂²×D₁₃	semidirect
1425. C₄×D₄	C₂²×D₁₃	semidirect
1434. #117	C₂²×D₁₃	semidirect
1540. C₂×C₁₃	#3540	semidirect
1805. C₁₃	C₂×#3540	semidirect
2027. C₂	#13129101	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129101	2
C₂×#11719388	2
C₂×#11719416	2
C₂×#11719325	2
C₂×#11719290	2
C₂×#11719369	2
C₂×#11719273	2
C₂×#11719407	2
C₂×#11719237	2
C₂×#11719375	2
C₂×#11719342	2
C₂×#11719232	2
C₂×#11719338	2
C₂×#11719382	2
C₂×#11719359	2
C₂×#11719315	2
C₂×#11719438	2
C₂×#11719345	2
C₂×#11719415	2
C₂×#11719374	2
C₂×#11719349	2
C₂×#11719409	2
C₂×#11719362	2
C₂×#11719265	2
C₂×#11719429	2
C₂×#11719379	2
C₂×#11719332	2
C₂×#11719252	2
C₂×#11719361	2
C₂×C₁₃×#542	2
C₂×#3540	13

Subgroups — C2×#13129101 #16770205

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129101 #16770205