Subgroups — D₁₃×#3224 #16734266

Order 3328.

2278 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125937	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125936	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125935	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125934	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125933	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125932	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125931	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125930	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125929	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125928	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125927	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125926	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125925	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125924	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125923	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#496	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#495	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#486	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#460	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#459	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
27	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
28	D₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
36	#11719535	C₂²	1	1	yes	characteristic, complemented
37	#11719510	C₂²	1	1	yes	characteristic, complemented
38	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
41	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
44	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
45	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
46	#11719438	C₂²	1	1	yes	characteristic, complemented
47	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
48	#11719420	C₂²	1	1	yes	characteristic, complemented
49	#11719420	C₂²	1	1	yes	characteristic, complemented
50	D₁₃×#127	C₂²	1	1	yes	characteristic
51	D₁₃×#127	C₂²	1	1	yes	characteristic
52	#11719415	—	2	1	no	—
53	D₁₃×#126	—	2	1	no	—
54	#11719387	C₂²	1	1	yes	characteristic, complemented
55	#11719379	C₂²	1	1	yes	characteristic, complemented
56	#11719379	C₂²	1	1	yes	characteristic, complemented
57	D₁₃×#124	—	2	1	no	—
58	D₁₃×#124	C₂²	1	1	yes	characteristic
59	D₁₃×#124	C₂²	1	1	yes	characteristic
60	D₁₃×#124	C₂²	1	1	yes	characteristic, complemented
61	#11719374	—	2	1	no	—
62	#11719367	—	2	1	no	—
63	D₁₃×#123	—	2	1	no	—
64	#11719348	C₂²	1	1	yes	characteristic, complemented
65	#11719345	—	2	1	no	—
66	D₁₃×C₂²⋊Q₈	—	2	1	no	—
67	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
68	#11719312	—	2	1	no	—
69	#11719312	—	2	1	no	—
70	D₁₃×#121	—	2	1	no	—
71	D₁₃×#121	—	2	1	no	—
72	D₁₃×#121	C₂²	1	1	yes	characteristic
73	#11719308	C₂²	1	1	yes	characteristic, complemented
74	#11719297	—	2	1	no	—
75	#11719297	—	2	1	no	—
76	D₁₃×#120	—	2	1	no	—
77	D₁₃×#120	—	2	1	no	—
78	#11719287	C₂²	1	1	yes	characteristic, complemented
79	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
80	#11719266	C₂²	1	1	yes	characteristic, complemented
81	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
82	#11719239	C₂²	1	1	yes	characteristic, complemented
83	#11719230	C₂²	1	1	yes	characteristic, complemented
84	D₁₃×#117	C₂²	1	1	yes	characteristic
85	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
98	#11718900	C₂²	1	1	yes	characteristic, complemented
99	#11718899	C₂²	1	1	yes	characteristic, complemented
100	#11718879	C₂²	1	1	yes	characteristic, complemented
101	#11718878	C₂²	1	1	yes	characteristic, complemented
102	#11718852	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718846	C₂²	1	1	yes	characteristic, complemented
105	#11718837	C₂²	1	1	yes	characteristic, complemented
106	#11718837	C₂²	1	1	yes	characteristic, complemented
107	#11718834	C₂²	1	1	yes	characteristic, complemented
108	#11718833	C₂²	1	1	yes	characteristic, complemented
109	#11718830	C₂²	1	1	yes	characteristic, complemented
110	#11718830	C₂²	1	1	yes	characteristic, complemented
111	#11718829	C₂²	1	1	yes	characteristic, complemented
112	#11718829	C₂²	1	1	yes	characteristic, complemented
113	#11718827	C₂²	1	1	yes	characteristic, complemented
114	#11718826	C₂²	1	1	yes	characteristic, complemented
115	#11718824	C₂²	1	1	yes	characteristic, complemented
116	#11718824	C₂²	1	1	yes	characteristic, complemented
117	#11718819	C₂²	1	1	yes	characteristic, complemented
118	#11718817	C₂²	1	1	yes	characteristic, complemented
119	#11718817	C₂²	1	1	yes	characteristic, complemented
120	#11718816	C₂²	1	1	yes	characteristic, complemented
121	#11718815	C₂²	1	1	yes	characteristic, complemented
122	#11718815	C₂²	1	1	yes	characteristic, complemented
123	#11718814	C₂²	1	1	yes	characteristic, complemented
124	#11718811	C₂²	1	1	yes	characteristic, complemented
125	#11718811	C₂²	1	1	yes	characteristic, complemented
126	#11718750	C₂²	1	1	yes	characteristic, complemented
127	#11718749	C₂²	1	1	yes	characteristic, complemented
128	#11718736	C₂²	1	1	yes	characteristic, complemented
129	#11718735	C₂²	1	1	yes	characteristic, complemented
130	#11718733	C₂²	1	1	yes	characteristic, complemented
131	#11718731	C₂²	1	1	yes	characteristic, complemented
132	#11718720	C₂²	1	1	yes	characteristic, complemented
133	#11718720	C₂²	1	1	yes	characteristic, complemented
134	#11718719	C₂²	1	1	yes	characteristic, complemented
135	#11718718	C₂²	1	1	yes	characteristic, complemented
136	#11718716	C₂²	1	1	yes	characteristic, complemented
137	#11718715	C₂²	1	1	yes	characteristic, complemented
138	#11718708	C₂²	1	1	yes	characteristic, complemented
139	#11718707	C₂²	1	1	yes	characteristic, complemented
140	#11718698	C₂²	1	1	yes	characteristic, complemented
141	#11718697	C₂²	1	1	yes	characteristic, complemented
142	#11718689	C₂²	1	1	yes	characteristic, complemented
143	#11718688	C₂²	1	1	yes	characteristic, complemented
144	#11718677	C₂²	1	1	yes	characteristic, complemented
145	#11718676	C₂²	1	1	yes	characteristic, complemented
146	#11718661	C₂²	1	1	yes	characteristic, complemented
147	#11718509	C₂²	1	1	yes	characteristic, complemented
148	#11718506	C₂²	1	1	yes	characteristic, complemented
149	#11718505	C₂²	1	1	yes	characteristic, complemented
150	#11718504	C₂²	1	1	yes	characteristic, complemented
151	#11718501	C₂²	1	1	yes	characteristic, complemented
152	#11718501	C₂²	1	1	yes	characteristic, complemented
153	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#11718480	C₂²	1	1	yes	characteristic, complemented
156	#11718472	C₂²	1	1	yes	characteristic, complemented
157	#11718471	C₂²	1	1	yes	characteristic, complemented
158	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
159	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
160	#11718459	C₂²	1	1	yes	characteristic, complemented
161	#11718456	C₂²	1	1	yes	characteristic, complemented
162	#11718456	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718447	C₂²	1	1	yes	characteristic, complemented
165	#11718447	C₂²	1	1	yes	characteristic, complemented
166	#11718444	C₂²	1	1	yes	characteristic, complemented
167	#11718442	C₂²	1	1	yes	characteristic, complemented
168	#11718437	C₂²	1	1	yes	characteristic, complemented
169	#11718437	C₂²	1	1	yes	characteristic, complemented
170	#11718434	C₂²	1	1	yes	characteristic, complemented
171	#11718434	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#102	C₂²	1	1	yes	characteristic
173	D₁₃×#102	C₂²	1	1	yes	characteristic
174	D₁₃×#102	C₂²	1	1	yes	characteristic
175	D₁₃×#102	C₂²	1	1	yes	characteristic
176	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
177	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
178	#11718428	C₂²	1	1	yes	characteristic, complemented
179	#11718426	C₂²	1	1	yes	characteristic, complemented
180	#11718426	C₂²	1	1	yes	characteristic, complemented
181	#11718423	C₂²	1	1	yes	characteristic, complemented
182	#11718423	C₂²	1	1	yes	characteristic, complemented
183	#11718421	C₂²	1	1	yes	characteristic, complemented
184	#11718421	C₂²	1	1	yes	characteristic, complemented
185	#11718421	C₂²	1	1	yes	characteristic, complemented
186	#11718421	C₂²	1	1	yes	characteristic, complemented
187	#11718395	C₂²	1	1	yes	characteristic, complemented
188	#11718394	C₂²	1	1	yes	characteristic, complemented
189	#11718393	C₂²	1	1	yes	characteristic, complemented
190	#11718392	C₂²	1	1	yes	characteristic, complemented
191	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#11718381	C₂²	1	1	yes	characteristic, complemented
194	#11718381	C₂²	1	1	yes	characteristic, complemented
195	#11718375	C₂²	1	1	yes	characteristic, complemented
196	#11718373	C₂²	1	1	yes	characteristic, complemented
197	#11718370	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
199	#11718357	C₂²	1	1	yes	characteristic, complemented
200	#11718355	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6129	—	2	1	no	—
214	C₂×#6129	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	—	2	1	no	—
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	4	2	no	—
224	C₂×D₄×D₁₃	—	4	2	no	—
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂×#6127	—	2	1	no	—
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂²×D₅₂	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₁₃	—	2	1	no	—
235	C₂²×C₄×D₁₃	—	2	1	no	—
236	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
238	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
242	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
245	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
246	C₁₃×#127	C₂³	1	1	yes	characteristic
247	C₁₃×#127	C₂³	1	1	yes	characteristic
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#124	—	2	1	no	—
250	C₁₃×#124	C₂³	1	1	yes	characteristic
251	C₁₃×#124	C₂³	1	1	yes	characteristic
252	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
253	C₁₃×#123	—	2	1	no	—
254	C₁₃×C₂²⋊Q₈	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₃×#121	—	2	1	no	—
257	C₁₃×#121	—	2	1	no	—
258	C₁₃×#121	C₂³	1	1	yes	characteristic
259	C₁₃×#120	—	2	1	no	—
260	C₁₃×#120	—	2	1	no	—
261	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
263	C₁₃×#117	C₂³	1	1	yes	characteristic
264	#88207	—	2	1	no	—
265	#88207	—	2	1	no	—
266	#88201	—	2	1	no	—
267	#88201	C₂³	1	1	yes	characteristic
268	#88201	C₂³	1	1	yes	characteristic
269	#88201	C₂³	1	1	yes	characteristic, complemented
270	#88200	—	2	1	no	—
271	#88200	C₂³	1	1	yes	characteristic
272	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
273	#88198	—	2	1	no	—
274	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
275	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
276	C₂×#6106	C₂³	1	1	yes	characteristic
277	C₂×#6106	C₂³	1	1	yes	characteristic
278	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
279	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
280	#88194	—	2	1	no	—
281	#88194	—	2	1	no	—
282	#88194	—	2	1	no	—
283	#88194	—	2	1	no	—
284	#88194	C₂³	1	1	yes	characteristic
285	#88194	C₂³	1	1	yes	characteristic
286	#88194	C₂³	1	1	yes	characteristic
287	#88194	C₂³	1	1	yes	characteristic
288	#88193	—	2	1	no	—
289	#88193	—	2	1	no	—
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88192	—	2	1	no	—
294	#88192	—	2	1	no	—
295	#88192	C₂³	1	1	yes	characteristic
296	#88191	—	2	1	no	—
297	#88191	—	2	1	no	—
298	#88191	—	2	1	no	—
299	#88191	—	2	1	no	—
300	#88191	—	2	1	no	—
301	#88191	—	2	1	no	—
302	#88190	—	2	1	no	—
303	#88190	C₂³	1	1	yes	characteristic
304	#88190	C₂³	1	1	yes	characteristic
305	#88190	C₂³	1	1	yes	characteristic, complemented
306	#88189	—	2	1	no	—
307	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
308	C₂×#6105	C₂³	1	1	yes	characteristic
309	C₂×#6105	C₂³	1	1	yes	characteristic
310	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
311	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
312	C₂×#6104	C₂³	1	1	yes	characteristic
313	C₂×#6104	C₂³	1	1	yes	characteristic
314	C₂×#6104	C₂³	1	1	yes	characteristic
315	C₂×#6104	C₂³	1	1	yes	characteristic
316	C₂×#6104	C₂³	1	1	yes	characteristic, complemented
317	C₂×#6104	C₂³	1	1	yes	characteristic, complemented
318	#88184	—	2	1	no	—
319	#88184	—	2	1	no	—
320	#88184	C₂³	1	1	yes	characteristic
321	#88183	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	—	2	1	no	—
323	#88180	C₂³	1	1	yes	characteristic
324	#88178	—	2	1	no	—
325	#88178	C₂³	1	1	yes	characteristic
326	Q₁₆×D₁₃	—	4	2	no	—
327	SD₁₆×D₁₃	—	4	2	no	—
328	SD₁₆×D₁₃	—	4	2	no	—
329	SD₁₆×D₁₃	—	4	2	no	—
330	SD₁₆×D₁₃	—	4	2	no	—
331	D₈×D₁₃	—	4	2	no	—
332	D₈×D₁₃	—	4	2	no	—
333	D₈×D₁₃	—	4	2	no	—
334	C₂×Dic₅₂	C₂³	1	1	yes	characteristic, complemented
335	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
336	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
337	C₂×D₁₀₄	C₂³	1	1	yes	characteristic, complemented
338	C₂×#6095	C₂³	1	1	yes	characteristic
339	C₂×#6095	C₂³	1	1	yes	characteristic
340	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
341	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
342	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
344	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
345	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
346	#88152	—	2	1	no	—
347	#88152	—	2	1	no	—
348	#88152	—	2	1	no	—
349	#88151	—	2	1	no	—
350	#88151	C₂³	1	1	yes	characteristic
351	#88150	—	2	1	no	—
352	#88150	—	2	1	no	—
353	#88150	—	2	1	no	—
354	#88149	—	2	1	no	—
355	#88149	—	2	1	no	—
356	#88149	C₂³	1	1	yes	characteristic
357	#88148	—	2	1	no	—
358	#88148	—	2	1	no	—
359	#88147	C₂³	1	1	yes	characteristic, complemented
360	#88146	D₄	1	1	yes	characteristic
361	#88146	D₄	1	1	yes	characteristic
362	C₄⋊C₄×D₁₃	—	2	1	no	—
363	C₄⋊C₄×D₁₃	—	2	1	no	—
364	C₄⋊C₄×D₁₃	—	2	1	no	—
365	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
367	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
368	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
369	#88142	—	2	1	no	—
370	#88142	C₂³	1	1	yes	characteristic, complemented
371	#88142	C₂³	1	1	yes	characteristic, complemented
372	#88141	—	2	1	no	—
373	#88141	C₂³	1	1	yes	characteristic, complemented
374	#88140	—	2	1	no	—
375	#88139	—	2	1	no	—
376	#88139	—	2	1	no	—
377	#88139	—	2	1	no	—
378	#88139	—	2	1	no	—
379	#88139	—	2	1	no	—
380	#88139	—	2	1	no	—
381	#88139	—	2	1	no	—
382	#88139	—	2	1	no	—
383	#88139	—	2	1	no	—
384	#88139	—	2	1	no	—
385	#88138	—	2	1	no	—
386	#88138	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88136	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88135	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	—	2	1	no	—
403	C₂²⋊C₄×D₁₃	—	2	1	no	—
404	C₂²⋊C₄×D₁₃	—	2	1	no	—
405	C₂²⋊C₄×D₁₃	—	2	1	no	—
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
409	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
410	#88133	—	2	1	no	—
411	#88133	—	2	1	no	—
412	#88133	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88131	D₄	1	1	yes	characteristic
417	#88131	D₄	1	1	yes	characteristic
418	#88130	—	2	1	no	—
419	#88129	—	2	1	no	—
420	#88129	C₂³	1	1	yes	characteristic
421	#88129	C₂³	1	1	yes	characteristic
422	#88129	C₂³	1	1	yes	characteristic, complemented
423	#88128	C₂³	1	1	yes	characteristic
424	#88128	C₂³	1	1	yes	characteristic
425	C₄×D₅₂	C₂³	1	1	yes	characteristic, complemented
426	#88126	C₂³	1	1	yes	characteristic
427	#88126	C₂³	1	1	yes	characteristic
428	C₄²×D₁₃	—	2	1	no	—
429	C₄²×D₁₃	C₂³	1	1	yes	characteristic
430	C₄²×D₁₃	C₂³	1	1	yes	characteristic
431	#88123	C₂³	1	1	yes	characteristic, complemented
432	C₄×Dic₂₆	—	2	1	no	—
433	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
434	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
436	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
437	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
438	C₁₃×#102	C₂³	1	1	yes	characteristic
439	C₁₃×#102	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
443	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
447	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
448	#88075	C₂³	1	1	yes	characteristic, complemented
449	#88075	C₂³	1	1	yes	characteristic, complemented
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	#88072	C₂³	1	1	yes	characteristic, complemented
455	#88072	C₂³	1	1	yes	characteristic, complemented
456	C₂²⋊#1055	C₂³	1	1	yes	characteristic
457	C₂²⋊#1055	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88061	C₂³	1	1	yes	characteristic, complemented
463	#88061	C₂³	1	1	yes	characteristic, complemented
464	#88060	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88060	C₂³	1	1	yes	characteristic
467	#88060	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic, complemented
469	#88056	C₂³	1	1	yes	characteristic, complemented
470	#88055	C₂³	1	1	yes	characteristic, complemented
471	#88055	C₂³	1	1	yes	characteristic, complemented
472	#88054	C₂³	1	1	yes	characteristic, complemented
473	#88054	C₂³	1	1	yes	characteristic, complemented
474	#88054	C₂³	1	1	yes	characteristic, complemented
475	#88054	C₂³	1	1	yes	characteristic, complemented
476	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
477	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
478	#88050	C₂³	1	1	yes	characteristic, complemented
479	#88050	C₂³	1	1	yes	characteristic, complemented
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88049	C₂³	1	1	yes	characteristic, complemented
485	#88049	C₂³	1	1	yes	characteristic, complemented
486	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
487	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
488	#88043	C₂³	1	1	yes	characteristic, complemented
489	C₄×#1055	C₂³	1	1	yes	characteristic, complemented
490	C₂×#3224	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	—	2	1	no	—
498	C₂³×D₁₃	—	2	1	no	—
499	C₂³×D₁₃	—	4	4	no	—
500	C₂³×D₁₃	—	8	2	no	—
501	C₂³×D₁₃	—	8	2	no	—
502	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₂×Q₈×C₁₃	—	2	1	no	—
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	4	1	no	—
516	C₂×D₄×C₁₃	—	4	1	no	—
517	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	—	2	1	no	—
523	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	4	4	no	—
543	C₂²×Dic₁₃	—	2	1	no	—
544	C₂²×Dic₁₃	—	2	1	no	—
545	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
546	#6131	—	4	1	no	—
547	#6131	—	4	1	no	—
548	Q₈×D₁₃	—	2	2	no	—
549	Q₈×D₁₃	—	2	2	no	—
550	Q₈×D₁₃	—	2	2	no	—
551	Q₈×D₁₃	—	2	2	no	—
552	Q₈×D₁₃	—	8	2	no	—
553	#6129	—	4	1	no	—
554	#6129	—	4	1	no	—
555	#6129	—	4	4	no	—
556	D₄×D₁₃	—	2	2	no	—
557	D₄×D₁₃	—	2	2	no	—
558	D₄×D₁₃	—	2	2	no	—
559	D₄×D₁₃	—	2	2	no	—
560	D₄×D₁₃	—	2	2	no	—
561	D₄×D₁₃	—	2	2	no	—
562	D₄×D₁₃	—	2	2	no	—
563	D₄×D₁₃	—	2	2	no	—
564	D₄×D₁₃	—	4	1	no	—
565	D₄×D₁₃	—	4	1	no	—
566	D₄×D₁₃	—	4	1	no	—
567	D₄×D₁₃	—	4	1	no	—
568	D₄×D₁₃	—	4	4	no	—
569	D₄×D₁₃	—	4	4	no	—
570	D₄×D₁₃	—	4	4	no	—
571	D₄×D₁₃	—	8	2	no	—
572	D₄×D₁₃	—	8	2	no	—
573	D₄×D₁₃	—	8	2	no	—
574	D₄×D₁₃	—	8	2	no	—
575	D₄×D₁₃	—	8	2	no	—
576	#6127	—	4	1	no	—
577	#6127	—	4	1	no	—
578	#6127	—	4	4	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	—	4	1	no	—
587	C₂×D₅₂	—	4	1	no	—
588	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
589	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
590	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
591	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
592	C₂×C₄×D₁₃	—	2	2	no	—
593	C₂×C₄×D₁₃	—	2	2	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	2	1	no	—
602	C₂×C₄×D₁₃	—	4	4	no	—
603	C₂×C₄×D₁₃	—	8	2	no	—
604	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
606	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
607	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×Dic₂₆	—	2	1	no	—
613	C₂×Dic₂₆	—	2	1	no	—
614	C₂×Dic₂₆	—	2	1	no	—
615	C₂×Dic₂₆	—	2	1	no	—
616	C₂×Dic₂₆	—	2	1	no	—
617	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
618	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
619	C₁₃×Q₁₆	—	4	1	no	—
620	C₁₃×SD₁₆	—	4	1	no	—
621	C₁₃×SD₁₆	—	4	1	no	—
622	C₁₃×SD₁₆	—	4	1	no	—
623	C₁₃×SD₁₆	—	4	1	no	—
624	C₁₃×D₈	—	4	1	no	—
625	C₁₃×D₈	—	4	1	no	—
626	C₁₃×D₈	—	4	1	no	—
627	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
628	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
629	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
630	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	—	2	1	no	—
632	C₁₃×C₄⋊C₄	—	2	1	no	—
633	C₁₃×C₄⋊C₄	—	2	1	no	—
634	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₄²×C₁₃	—	2	1	no	—
650	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	—	2	1	no	—
654	C₂²⋊Dic₁₃	—	2	1	no	—
655	C₂²⋊Dic₁₃	—	2	1	no	—
656	C₂²⋊Dic₁₃	—	2	1	no	—
657	C₂²⋊Dic₁₃	—	2	1	no	—
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
663	#6107	—	4	1	no	—
664	#6107	—	4	1	no	—
665	#6106	—	4	1	no	—
666	#6106	—	4	1	no	—
667	#6106	—	4	1	no	—
668	#6106	—	4	1	no	—
669	#6105	—	4	1	no	—
670	#6105	—	4	1	no	—
671	#6105	—	4	1	no	—
672	#6105	—	4	1	no	—
673	#6104	—	4	1	no	—
674	#6104	—	4	1	no	—
675	#6104	—	4	1	no	—
676	#6104	—	4	1	no	—
677	#6104	—	4	1	no	—
678	#6104	—	4	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	C₂×D₄	1	1	yes	characteristic
698	#6103	C₂×D₄	1	1	yes	characteristic
699	#6103	C₂×D₄	1	1	yes	characteristic
700	#6103	C₂×D₄	1	1	yes	characteristic
701	C₄⋊Dic₁₃	—	2	1	no	—
702	C₄⋊Dic₁₃	—	2	1	no	—
703	C₄⋊Dic₁₃	—	2	1	no	—
704	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
705	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
706	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
707	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
708	#6101	—	2	1	no	—
709	#6101	—	2	1	no	—
710	#6101	—	2	1	no	—
711	#6101	—	2	1	no	—
712	#6101	—	2	1	no	—
713	#6101	—	2	1	no	—
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	C₂×D₄	1	1	yes	characteristic
717	#6101	C₂×D₄	1	1	yes	characteristic
718	#6101	C₂×D₄	1	1	yes	characteristic
719	#6101	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
725	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
726	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
727	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
728	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	Dic₅₂	—	4	1	no	—
734	D₁₀₄	—	4	1	no	—
735	D₁₀₄	—	4	1	no	—
736	D₁₀₄	—	4	1	no	—
737	#6095	—	4	1	no	—
738	#6095	—	4	1	no	—
739	#6095	—	4	1	no	—
740	#6095	—	4	1	no	—
741	C₈×D₁₃	—	2	2	no	—
742	C₈×D₁₃	—	2	2	no	—
743	C₈×D₁₃	—	2	2	no	—
744	C₈×D₁₃	—	2	2	no	—
745	C₂×#542	—	13	1	no	—
746	C₂×#535	—	13	1	no	—
747	#3224	—	13	1	no	—
748	#3224	—	13	1	no	—
749	#3224	—	13	1	no	—
750	#3224	—	13	1	no	—
751	#3224	—	13	1	no	—
752	#3224	—	13	1	no	—
753	#3224	—	13	1	no	—
754	#3224	—	13	1	no	—
755	#3224	—	13	1	no	—
756	#3224	—	13	1	no	—
757	#3224	—	13	1	no	—
758	#3224	—	13	1	no	—
759	#3224	—	13	1	no	—
760	#3224	—	13	1	no	—
761	#3224	—	13	1	no	—
762	#3224	D₁₃	1	1	yes	characteristic, direct product factor
763	C₂×#496	—	13	1	no	—
764	C₂×#495	—	13	1	no	—
765	C₂×#489	—	13	1	no	—
766	C₂×#486	—	13	1	no	—
767	C₂×#464	—	13	1	no	—
768	C₂×#460	—	13	1	no	—
769	C₂×#463	—	13	1	no	—
770	C₂×#459	—	13	1	no	—
771	C₂×#452	—	13	1	no	—
772	C₂×#449	—	13	1	no	—
773	C₂×#450	—	13	1	no	—
774	C₂×#447	—	13	1	no	—
775	C₂×#433	—	13	1	no	—
776	C₂³×C₁₃	—	2	1	no	—
777	C₂³×C₁₃	—	2	1	no	—
778	C₂³×C₁₃	—	2	1	no	—
779	C₂³×C₁₃	—	2	1	no	—
780	C₂³×C₁₃	—	4	2	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	—	8	1	no	—
783	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂²×D₁₃	—	2	2	no	—
785	C₂²×D₁₃	—	2	2	no	—
786	C₂²×D₁₃	—	2	2	no	—
787	C₂²×D₁₃	—	2	1	no	—
788	C₂²×D₁₃	—	2	1	no	—
789	C₂²×D₁₃	—	2	1	no	—
790	C₂²×D₁₃	—	2	1	no	—
791	C₂²×D₁₃	—	4	2	no	—
792	C₂²×D₁₃	—	4	2	no	—
793	C₂²×D₁₃	—	4	2	no	—
794	C₂²×D₁₃	—	4	2	no	—
795	C₂²×D₁₃	—	4	2	no	—
796	C₂²×D₁₃	—	4	2	no	—
797	C₂²×D₁₃	—	4	2	no	—
798	C₂²×D₁₃	—	4	2	no	—
799	C₂²×D₁₃	—	4	2	no	—
800	C₂²×D₁₃	—	4	2	no	—
801	C₂²×D₁₃	—	4	2	no	—
802	C₂²×D₁₃	—	4	2	no	—
803	C₂²×D₁₃	—	4	2	no	—
804	C₂²×D₁₃	—	4	2	no	—
805	C₂²×D₁₃	—	4	2	no	—
806	C₂²×D₁₃	—	8	1	no	—
807	C₂²×D₁₃	—	8	1	no	—
808	C₂²×D₁₃	—	8	1	no	—
809	C₂²×D₁₃	—	8	1	no	—
810	C₂²×D₁₃	—	8	1	no	—
811	C₂²×D₁₃	—	8	1	no	—
812	C₂²×D₁₃	—	8	16	no	—
813	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
815	Q₈×C₁₃	—	2	1	no	—
816	Q₈×C₁₃	—	2	1	no	—
817	Q₈×C₁₃	—	2	1	no	—
818	Q₈×C₁₃	—	2	1	no	—
819	Q₈×C₁₃	—	8	1	no	—
820	D₄×C₁₃	—	2	1	no	—
821	D₄×C₁₃	—	2	1	no	—
822	D₄×C₁₃	—	2	1	no	—
823	D₄×C₁₃	—	2	1	no	—
824	D₄×C₁₃	—	2	1	no	—
825	D₄×C₁₃	—	2	1	no	—
826	D₄×C₁₃	—	2	1	no	—
827	D₄×C₁₃	—	2	1	no	—
828	D₄×C₁₃	—	4	2	no	—
829	D₄×C₁₃	—	4	2	no	—
830	D₄×C₁₃	—	8	1	no	—
831	D₄×C₁₃	—	8	1	no	—
832	D₄×C₁₃	—	8	1	no	—
833	D₄×C₁₃	—	8	1	no	—
834	D₄×C₁₃	—	8	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	2	1	no	—
837	C₂×C₄×C₁₃	—	2	1	no	—
838	C₂×C₄×C₁₃	—	2	1	no	—
839	C₂×C₄×C₁₃	—	2	1	no	—
840	C₂×C₄×C₁₃	—	2	1	no	—
841	C₂×C₄×C₁₃	—	4	2	no	—
842	C₂×C₄×C₁₃	—	8	1	no	—
843	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
844	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
845	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
846	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
849	C₂²⋊D₁₃	—	4	2	no	—
850	C₂²⋊D₁₃	—	4	2	no	—
851	C₂²⋊D₁₃	—	4	2	no	—
852	C₂²⋊D₁₃	—	4	2	no	—
853	C₂²⋊D₁₃	—	4	2	no	—
854	C₂²⋊D₁₃	—	4	2	no	—
855	C₂²⋊D₁₃	—	4	2	no	—
856	C₂²⋊D₁₃	—	4	2	no	—
857	C₂²⋊D₁₃	—	8	1	no	—
858	C₂²⋊D₁₃	—	8	1	no	—
859	C₂²⋊D₁₃	—	8	1	no	—
860	C₂²⋊D₁₃	—	8	1	no	—
861	C₂²⋊D₁₃	—	8	1	no	—
862	C₂²⋊D₁₃	—	8	1	no	—
863	C₂²⋊D₁₃	—	8	1	no	—
864	C₂²⋊D₁₃	—	8	1	no	—
865	C₂²⋊D₁₃	—	8	1	no	—
866	C₂²⋊D₁₃	—	8	1	no	—
867	C₂×Dic₁₃	—	2	2	no	—
868	C₂×Dic₁₃	—	2	1	no	—
869	C₂×Dic₁₃	—	2	1	no	—
870	C₂×Dic₁₃	—	2	1	no	—
871	C₂×Dic₁₃	—	2	1	no	—
872	C₂×Dic₁₃	—	4	2	no	—
873	C₂×Dic₁₃	—	8	1	no	—
874	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
875	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
876	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
877	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
878	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
879	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
880	D₅₂	—	2	1	no	—
881	D₅₂	—	2	1	no	—
882	D₅₂	—	2	1	no	—
883	D₅₂	—	2	1	no	—
884	D₅₂	—	2	1	no	—
885	D₅₂	—	2	1	no	—
886	D₅₂	—	2	1	no	—
887	D₅₂	—	2	1	no	—
888	D₅₂	—	4	2	no	—
889	D₅₂	—	4	2	no	—
890	D₅₂	—	8	1	no	—
891	D₅₂	—	8	1	no	—
892	D₅₂	—	8	1	no	—
893	D₅₂	—	8	1	no	—
894	D₅₂	—	8	1	no	—
895	C₄×D₁₃	—	2	2	no	—
896	C₄×D₁₃	—	2	2	no	—
897	C₄×D₁₃	—	2	2	no	—
898	C₄×D₁₃	—	2	2	no	—
899	C₄×D₁₃	—	2	2	no	—
900	C₄×D₁₃	—	2	1	no	—
901	C₄×D₁₃	—	2	1	no	—
902	C₄×D₁₃	—	2	2	no	—
903	C₄×D₁₃	—	4	2	no	—
904	C₄×D₁₃	—	4	2	no	—
905	C₄×D₁₃	—	4	2	no	—
906	C₄×D₁₃	—	4	2	no	—
907	C₄×D₁₃	—	4	2	no	—
908	C₄×D₁₃	—	4	2	no	—
909	C₄×D₁₃	—	8	1	no	—
910	C₄×D₁₃	—	8	1	no	—
911	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
912	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
913	Dic₂₆	—	2	1	no	—
914	Dic₂₆	—	2	1	no	—
915	Dic₂₆	—	2	1	no	—
916	Dic₂₆	—	2	1	no	—
917	Dic₂₆	—	4	2	no	—
918	Dic₂₆	—	4	2	no	—
919	Dic₂₆	—	8	1	no	—
920	Dic₂₆	—	8	1	no	—
921	Dic₂₆	—	8	1	no	—
922	C₈×C₁₃	—	2	1	no	—
923	C₈×C₁₃	—	2	1	no	—
924	C₈×C₁₃	—	2	1	no	—
925	C₈×C₁₃	—	2	1	no	—
926	#1055	—	2	1	no	—
927	#1055	—	2	1	no	—
928	#1055	—	2	1	no	—
929	#1055	—	2	1	no	—
930	C₂²×#41	—	13	1	no	—
931	C₂³×D₄	—	13	1	no	—
932	C₂²×Q₁₆	—	13	1	no	—
933	C₂²×SD₁₆	—	13	1	no	—
934	C₂²×SD₁₆	—	13	1	no	—
935	C₂²×SD₁₆	—	13	1	no	—
936	C₂²×SD₁₆	—	13	1	no	—
937	C₂²×D₈	—	13	1	no	—
938	C₂²×D₈	—	13	1	no	—
939	C₂²×D₈	—	13	1	no	—
940	#542	—	13	1	no	—
941	#542	—	13	1	no	—
942	#542	—	13	1	no	—
943	#542	—	13	1	no	—
944	#542	—	13	1	no	—
945	#542	—	13	1	no	—
946	#542	—	13	1	no	—
947	#542	—	26	1	no	—
948	#542	—	26	1	no	—
949	#542	—	26	1	no	—
950	#542	—	26	1	no	—
951	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
952	#535	—	13	1	no	—
953	#535	—	13	1	no	—
954	#535	—	13	1	no	—
955	#535	—	13	1	no	—
956	#535	—	13	1	no	—
957	#535	—	13	1	no	—
958	#535	—	13	1	no	—
959	#535	—	26	1	no	—
960	#535	—	26	1	no	—
961	#535	—	26	1	no	—
962	#535	—	26	1	no	—
963	#535	C₂×D₁₃	1	1	yes	characteristic, complemented
964	C₂×C₄⋊Q₈	—	13	1	no	—
965	C₂×#127	—	13	1	no	—
966	C₂×#127	—	13	1	no	—
967	C₂×#126	—	26	1	no	—
968	C₂×#124	—	13	1	no	—
969	C₂×#124	—	13	1	no	—
970	C₂×#124	—	13	1	no	—
971	C₂×#124	—	26	1	no	—
972	C₂×#123	—	26	1	no	—
973	C₂×C₂²⋊Q₈	—	13	1	no	—
974	C₂×C₂²⋊Q₈	—	26	1	no	—
975	C₂×#121	—	13	1	no	—
976	C₂×#121	—	26	1	no	—
977	C₂×#121	—	26	1	no	—
978	C₂×#120	—	26	1	no	—
979	C₂×#120	—	26	1	no	—
980	C₂×C₄×Q₈	—	13	1	no	—
981	C₂×C₄×D₄	—	13	1	no	—
982	C₂×#117	—	13	1	no	—
983	#496	—	13	1	no	—
984	#496	—	13	1	no	—
985	#496	—	13	1	no	—
986	#496	—	13	1	no	—
987	#496	—	13	1	no	—
988	#496	—	13	1	no	—
989	#496	—	13	1	no	—
990	#496	C₂×D₁₃	1	1	yes	characteristic, complemented
991	#495	—	13	1	no	—
992	#495	—	13	1	no	—
993	#495	—	13	1	no	—
994	#495	—	13	1	no	—
995	#495	—	13	1	no	—
996	#495	—	13	1	no	—
997	#495	—	13	1	no	—
998	#495	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#489	—	13	1	no	—
1000	#489	—	13	1	no	—
1001	#489	—	13	1	no	—
1002	#489	—	13	1	no	—
1003	#489	—	13	1	no	—
1004	#489	—	13	1	no	—
1005	#489	—	13	1	no	—
1006	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
1007	#486	—	13	1	no	—
1008	#486	—	13	1	no	—
1009	#486	—	13	1	no	—
1010	#486	—	13	1	no	—
1011	#486	—	13	1	no	—
1012	#486	—	13	1	no	—
1013	#486	—	13	1	no	—
1014	#486	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#464	—	13	1	no	—
1016	#464	—	13	1	no	—
1017	#464	—	13	1	no	—
1018	#464	—	13	1	no	—
1019	#464	—	13	1	no	—
1020	#464	—	13	1	no	—
1021	#464	—	13	1	no	—
1022	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#463	—	13	1	no	—
1024	#463	—	13	1	no	—
1025	#463	—	13	1	no	—
1026	#463	—	13	1	no	—
1027	#463	—	13	1	no	—
1028	#463	—	13	1	no	—
1029	#463	—	13	1	no	—
1030	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1031	#460	—	13	1	no	—
1032	#460	—	13	1	no	—
1033	#460	—	13	1	no	—
1034	#460	—	13	1	no	—
1035	#460	—	13	1	no	—
1036	#460	—	13	1	no	—
1037	#460	—	13	1	no	—
1038	#460	C₂×D₁₃	1	1	yes	characteristic, complemented
1039	#459	—	13	1	no	—
1040	#459	—	13	1	no	—
1041	#459	—	13	1	no	—
1042	#459	—	13	1	no	—
1043	#459	—	13	1	no	—
1044	#459	—	13	1	no	—
1045	#459	—	13	1	no	—
1046	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	#452	—	13	1	no	—
1048	#452	—	13	1	no	—
1049	#452	—	13	1	no	—
1050	#452	—	13	1	no	—
1051	#452	—	13	1	no	—
1052	#452	—	13	1	no	—
1053	#452	—	13	1	no	—
1054	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1055	#450	—	13	1	no	—
1056	#450	—	13	1	no	—
1057	#450	—	13	1	no	—
1058	#450	—	13	1	no	—
1059	#450	—	13	1	no	—
1060	#450	—	13	1	no	—
1061	#450	—	13	1	no	—
1062	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1063	#449	—	13	1	no	—
1064	#449	—	13	1	no	—
1065	#449	—	13	1	no	—
1066	#449	—	13	1	no	—
1067	#449	—	13	1	no	—
1068	#449	—	13	1	no	—
1069	#449	—	13	1	no	—
1070	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1071	#447	—	13	1	no	—
1072	#447	—	13	1	no	—
1073	#447	—	13	1	no	—
1074	#447	—	13	1	no	—
1075	#447	—	13	1	no	—
1076	#447	—	13	1	no	—
1077	#447	—	13	1	no	—
1078	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1079	#433	—	13	1	no	—
1080	#433	—	13	1	no	—
1081	#433	—	13	1	no	—
1082	#433	—	13	1	no	—
1083	#433	—	13	1	no	—
1084	#433	—	13	1	no	—
1085	#433	—	13	1	no	—
1086	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1087	C₂×C₄⋊C₈	—	13	1	no	—
1088	C₂×C₄⋊C₈	—	13	1	no	—
1089	C₂×#103	—	13	1	no	—
1090	C₂×#103	—	13	1	no	—
1091	C₂×#102	—	13	1	no	—
1092	C₂×#102	—	13	1	no	—
1093	C₂×#102	—	13	1	no	—
1094	C₂×#102	—	13	1	no	—
1095	C₂×#102	—	13	1	no	—
1096	C₂×#102	—	13	1	no	—
1097	C₂×C₂²⋊C₈	—	13	1	no	—
1098	C₂×C₂²⋊C₈	—	13	1	no	—
1099	C₂×#97	—	13	1	no	—
1100	C₂×C₄×C₈	—	13	1	no	—
1101	C₂²×C₁₃	—	2	1	no	—
1102	C₂²×C₁₃	—	2	1	no	—
1103	C₂²×C₁₃	—	2	1	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	—	4	1	no	—
1106	C₂²×C₁₃	—	4	1	no	—
1107	C₂²×C₁₃	—	4	1	no	—
1108	C₂²×C₁₃	—	4	1	no	—
1109	C₂²×C₁₃	—	4	1	no	—
1110	C₂²×C₁₃	—	4	1	no	—
1111	C₂²×C₁₃	—	4	1	no	—
1112	C₂²×C₁₃	—	4	1	no	—
1113	C₂²×C₁₃	—	4	1	no	—
1114	C₂²×C₁₃	—	4	1	no	—
1115	C₂²×C₁₃	—	4	1	no	—
1116	C₂²×C₁₃	—	8	4	no	—
1117	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1118	C₂×D₁₃	—	2	1	no	—
1119	C₂×D₁₃	—	2	1	no	—
1120	C₂×D₁₃	—	2	1	no	—
1121	C₂×D₁₃	—	4	4	no	—
1122	C₂×D₁₃	—	4	1	no	—
1123	C₂×D₁₃	—	4	1	no	—
1124	C₂×D₁₃	—	4	1	no	—
1125	C₂×D₁₃	—	4	1	no	—
1126	C₂×D₁₃	—	4	1	no	—
1127	C₂×D₁₃	—	4	1	no	—
1128	C₂×D₁₃	—	4	1	no	—
1129	C₂×D₁₃	—	4	1	no	—
1130	C₂×D₁₃	—	4	1	no	—
1131	C₂×D₁₃	—	4	1	no	—
1132	C₂×D₁₃	—	4	1	no	—
1133	C₂×D₁₃	—	4	1	no	—
1134	C₂×D₁₃	—	8	4	no	—
1135	C₂×D₁₃	—	8	4	no	—
1136	C₂×D₁₃	—	8	4	no	—
1137	C₂×D₁₃	—	8	4	no	—
1138	C₂×D₁₃	—	8	4	no	—
1139	C₂×D₁₃	—	8	4	no	—
1140	C₂×D₁₃	—	8	4	no	—
1141	C₂×D₁₃	#535	1	2	yes	—
1142	C₂×D₁₃	#576	1	2	yes	—
1143	C₂×D₁₃	#577	1	2	yes	—
1144	C₄×C₁₃	—	2	1	no	—
1145	C₄×C₁₃	—	2	1	no	—
1146	C₄×C₁₃	—	2	1	no	—
1147	C₄×C₁₃	—	2	1	no	—
1148	C₄×C₁₃	—	2	1	no	—
1149	C₄×C₁₃	—	4	1	no	—
1150	C₄×C₁₃	—	4	1	no	—
1151	C₄×C₁₃	—	4	1	no	—
1152	C₄×C₁₃	—	4	1	no	—
1153	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1154	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1155	Dic₁₃	—	2	1	no	—
1156	Dic₁₃	—	2	1	no	—
1157	Dic₁₃	—	2	1	no	—
1158	Dic₁₃	—	2	1	no	—
1159	Dic₁₃	—	2	1	no	—
1160	Dic₁₃	—	4	1	no	—
1161	Dic₁₃	—	4	1	no	—
1162	Dic₁₃	—	4	1	no	—
1163	Dic₁₃	—	4	1	no	—
1164	Dic₁₃	#535	1	2	yes	—
1165	C₂⁵	—	26	1	no	—
1166	C₂×#41	—	13	1	no	—
1167	C₂×#41	—	13	1	no	—
1168	C₂×#41	—	13	1	no	—
1169	C₂×#41	—	26	1	no	—
1170	C₂×#41	—	26	1	no	—
1171	C₂×#41	—	52	2	no	—
1172	C₂×#41	—	52	2	no	—
1173	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1174	C₂²×Q₈	—	13	1	no	—
1175	C₂²×Q₈	—	13	1	no	—
1176	C₂²×Q₈	—	26	1	no	—
1177	C₂²×D₄	—	13	1	no	—
1178	C₂²×D₄	—	13	1	no	—
1179	C₂²×D₄	—	13	1	no	—
1180	C₂²×D₄	—	13	1	no	—
1181	C₂²×D₄	—	13	1	no	—
1182	C₂²×D₄	—	13	1	no	—
1183	C₂²×D₄	—	13	1	no	—
1184	C₂²×D₄	—	26	1	no	—
1185	C₂²×D₄	—	26	1	no	—
1186	C₂²×D₄	—	26	1	no	—
1187	C₂²×D₄	—	26	1	no	—
1188	C₂²×D₄	—	26	1	no	—
1189	C₂²×D₄	—	26	1	no	—
1190	C₂²×D₄	—	26	1	no	—
1191	C₂²×D₄	—	26	1	no	—
1192	C₂²×D₄	—	26	1	no	—
1193	C₂²×D₄	—	52	2	no	—
1194	C₂²×D₄	—	52	2	no	—
1195	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1196	C₂³×C₄	—	13	1	no	—
1197	C₂³×C₄	—	26	1	no	—
1198	C₂³×C₄	—	26	1	no	—
1199	C₂×Q₁₆	—	13	1	no	—
1200	C₂×Q₁₆	—	13	1	no	—
1201	C₂×Q₁₆	—	13	1	no	—
1202	C₂×Q₁₆	—	52	2	no	—
1203	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1204	C₂×SD₁₆	—	13	1	no	—
1205	C₂×SD₁₆	—	13	1	no	—
1206	C₂×SD₁₆	—	13	1	no	—
1207	C₂×SD₁₆	—	13	1	no	—
1208	C₂×SD₁₆	—	13	1	no	—
1209	C₂×SD₁₆	—	13	1	no	—
1210	C₂×SD₁₆	—	13	1	no	—
1211	C₂×SD₁₆	—	13	1	no	—
1212	C₂×SD₁₆	—	13	1	no	—
1213	C₂×SD₁₆	—	13	1	no	—
1214	C₂×SD₁₆	—	13	1	no	—
1215	C₂×SD₁₆	—	13	1	no	—
1216	C₂×SD₁₆	—	52	2	no	—
1217	C₂×SD₁₆	—	52	2	no	—
1218	C₂×SD₁₆	—	52	2	no	—
1219	C₂×SD₁₆	—	52	2	no	—
1220	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1221	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1222	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1223	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1224	C₂×D₈	—	13	1	no	—
1225	C₂×D₈	—	13	1	no	—
1226	C₂×D₈	—	13	1	no	—
1227	C₂×D₈	—	13	1	no	—
1228	C₂×D₈	—	13	1	no	—
1229	C₂×D₈	—	13	1	no	—
1230	C₂×D₈	—	13	1	no	—
1231	C₂×D₈	—	13	1	no	—
1232	C₂×D₈	—	13	1	no	—
1233	C₂×D₈	—	52	2	no	—
1234	C₂×D₈	—	52	2	no	—
1235	C₂×D₈	—	52	2	no	—
1236	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1237	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1238	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1239	C₂²×C₈	—	13	1	no	—
1240	C₂²×C₈	—	13	1	no	—
1241	C₂²×C₈	—	13	1	no	—
1242	C₂²×C₈	—	13	1	no	—
1243	C₄⋊Q₈	—	13	1	no	—
1244	C₄⋊Q₈	—	13	1	no	—
1245	C₄⋊Q₈	—	13	1	no	—
1246	C₄⋊Q₈	—	26	1	no	—
1247	C₄⋊Q₈	—	26	1	no	—
1248	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1249	#127	—	13	1	no	—
1250	#127	—	13	1	no	—
1251	#127	—	13	1	no	—
1252	#127	—	13	1	no	—
1253	#127	—	13	1	no	—
1254	#127	—	13	1	no	—
1255	#127	—	26	1	no	—
1256	#127	—	26	1	no	—
1257	#127	—	26	1	no	—
1258	#127	—	26	1	no	—
1259	#127	C₂²×D₁₃	1	1	yes	characteristic
1260	#127	C₂²×D₁₃	1	1	yes	characteristic
1261	#126	—	2	1	no	—
1262	#126	—	26	1	no	—
1263	#126	—	26	1	no	—
1264	#126	—	26	1	no	—
1265	#126	—	26	1	no	—
1266	#126	—	26	1	no	—
1267	#126	—	26	1	no	—
1268	#126	—	26	1	no	—
1269	#124	—	2	1	no	—
1270	#124	—	13	1	no	—
1271	#124	—	13	1	no	—
1272	#124	—	13	1	no	—
1273	#124	—	13	1	no	—
1274	#124	—	13	1	no	—
1275	#124	—	13	1	no	—
1276	#124	—	13	1	no	—
1277	#124	—	13	1	no	—
1278	#124	—	13	1	no	—
1279	#124	—	26	1	no	—
1280	#124	—	26	1	no	—
1281	#124	—	26	1	no	—
1282	#124	—	26	1	no	—
1283	#124	—	26	1	no	—
1284	#124	—	26	1	no	—
1285	#124	—	26	1	no	—
1286	#124	—	26	1	no	—
1287	#124	—	26	1	no	—
1288	#124	—	26	1	no	—
1289	#124	—	26	1	no	—
1290	#124	—	26	1	no	—
1291	#124	—	26	1	no	—
1292	#124	C₂²×D₁₃	1	1	yes	characteristic
1293	#124	C₂²×D₁₃	1	1	yes	characteristic
1294	#124	C₂²×D₁₃	1	1	yes	characteristic, complemented
1295	#123	—	2	1	no	—
1296	#123	—	26	1	no	—
1297	#123	—	26	1	no	—
1298	#123	—	26	1	no	—
1299	#123	—	26	1	no	—
1300	#123	—	26	1	no	—
1301	#123	—	26	1	no	—
1302	#123	—	26	1	no	—
1303	C₂²⋊Q₈	—	2	1	no	—
1304	C₂²⋊Q₈	—	13	1	no	—
1305	C₂²⋊Q₈	—	13	1	no	—
1306	C₂²⋊Q₈	—	13	1	no	—
1307	C₂²⋊Q₈	—	26	1	no	—
1308	C₂²⋊Q₈	—	26	1	no	—
1309	C₂²⋊Q₈	—	26	1	no	—
1310	C₂²⋊Q₈	—	26	1	no	—
1311	C₂²⋊Q₈	—	26	1	no	—
1312	C₂²⋊Q₈	—	26	1	no	—
1313	C₂²⋊Q₈	—	26	1	no	—
1314	C₂²⋊Q₈	—	26	1	no	—
1315	C₂²⋊Q₈	—	26	1	no	—
1316	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1317	#121	—	2	1	no	—
1318	#121	—	2	1	no	—
1319	#121	—	13	1	no	—
1320	#121	—	13	1	no	—
1321	#121	—	13	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	—	26	1	no	—
1330	#121	—	26	1	no	—
1331	#121	—	26	1	no	—
1332	#121	—	26	1	no	—
1333	#121	—	26	1	no	—
1334	#121	—	26	1	no	—
1335	#121	—	26	1	no	—
1336	#121	—	26	1	no	—
1337	#121	—	26	1	no	—
1338	#121	C₂²×D₁₃	1	1	yes	characteristic
1339	#120	—	2	1	no	—
1340	#120	—	2	1	no	—
1341	#120	—	26	1	no	—
1342	#120	—	26	1	no	—
1343	#120	—	26	1	no	—
1344	#120	—	26	1	no	—
1345	#120	—	26	1	no	—
1346	#120	—	26	1	no	—
1347	#120	—	26	1	no	—
1348	#120	—	26	1	no	—
1349	#120	—	26	1	no	—
1350	#120	—	26	1	no	—
1351	#120	—	26	1	no	—
1352	#120	—	26	1	no	—
1353	#120	—	26	1	no	—
1354	#120	—	26	1	no	—
1355	C₄×Q₈	—	13	1	no	—
1356	C₄×Q₈	—	13	1	no	—
1357	C₄×Q₈	—	13	1	no	—
1358	C₄×Q₈	—	26	1	no	—
1359	C₄×Q₈	—	26	1	no	—
1360	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1361	C₄×D₄	—	13	1	no	—
1362	C₄×D₄	—	13	1	no	—
1363	C₄×D₄	—	13	1	no	—
1364	C₄×D₄	—	26	1	no	—
1365	C₄×D₄	—	26	1	no	—
1366	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1367	#117	—	13	1	no	—
1368	#117	—	13	1	no	—
1369	#117	—	13	1	no	—
1370	#117	—	13	1	no	—
1371	#117	—	13	1	no	—
1372	#117	—	13	1	no	—
1373	#117	—	13	1	no	—
1374	#117	C₂²×D₁₃	1	1	yes	characteristic
1375	C₂×C₄⋊C₄	—	13	1	no	—
1376	C₂×C₄⋊C₄	—	13	1	no	—
1377	C₂×C₄⋊C₄	—	13	1	no	—
1378	C₂×C₄⋊C₄	—	13	1	no	—
1379	C₂×C₄⋊C₄	—	26	1	no	—
1380	C₂×C₄⋊C₄	—	26	1	no	—
1381	C₂×C₄⋊C₄	—	26	1	no	—
1382	C₂×C₂²⋊C₄	—	13	1	no	—
1383	C₂×C₂²⋊C₄	—	13	1	no	—
1384	C₂×C₂²⋊C₄	—	26	1	no	—
1385	C₂×C₂²⋊C₄	—	26	1	no	—
1386	C₂×C₂²⋊C₄	—	26	1	no	—
1387	C₂×C₂²⋊C₄	—	26	1	no	—
1388	C₂×C₂²⋊C₄	—	26	1	no	—
1389	C₂×C₂²⋊C₄	—	26	1	no	—
1390	C₂×C₂²⋊C₄	—	26	1	no	—
1391	C₂×C₂²⋊C₄	—	26	1	no	—
1392	C₂×C₂²⋊C₄	—	26	1	no	—
1393	C₂×C₄²	—	13	1	no	—
1394	C₂×C₄²	—	13	1	no	—
1395	C₂×C₄²	—	26	1	no	—
1396	C₄⋊C₈	—	13	1	no	—
1397	C₄⋊C₈	—	13	1	no	—
1398	C₄⋊C₈	—	13	1	no	—
1399	C₄⋊C₈	—	13	1	no	—
1400	C₄⋊C₈	—	13	1	no	—
1401	C₄⋊C₈	—	13	1	no	—
1402	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1403	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1404	#103	—	13	1	no	—
1405	#103	—	13	1	no	—
1406	#103	—	13	1	no	—
1407	#103	—	13	1	no	—
1408	#103	—	13	1	no	—
1409	#103	—	13	1	no	—
1410	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1411	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	—	13	1	no	—
1420	#102	—	13	1	no	—
1421	#102	—	13	1	no	—
1422	#102	—	13	1	no	—
1423	#102	—	13	1	no	—
1424	#102	—	13	1	no	—
1425	#102	—	13	1	no	—
1426	#102	—	13	1	no	—
1427	#102	—	13	1	no	—
1428	#102	—	13	1	no	—
1429	#102	—	13	1	no	—
1430	#102	C₂²×D₁₃	1	1	yes	characteristic
1431	#102	C₂²×D₁₃	1	1	yes	characteristic
1432	#102	C₂²×D₁₃	1	1	yes	characteristic
1433	#102	C₂²×D₁₃	1	1	yes	characteristic
1434	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1435	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1436	C₂²⋊C₈	—	13	1	no	—
1437	C₂²⋊C₈	—	13	1	no	—
1438	C₂²⋊C₈	—	13	1	no	—
1439	C₂²⋊C₈	—	13	1	no	—
1440	C₂²⋊C₈	—	13	1	no	—
1441	C₂²⋊C₈	—	13	1	no	—
1442	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1443	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1444	#97	—	13	1	no	—
1445	#97	—	13	1	no	—
1446	#97	—	13	1	no	—
1447	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1448	C₄×C₈	—	13	1	no	—
1449	C₄×C₈	—	13	1	no	—
1450	C₄×C₈	—	13	1	no	—
1451	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1452	C₂×C₁₃	—	4	1	no	—
1453	C₂×C₁₃	—	8	1	no	—
1454	C₂×C₁₃	—	8	1	no	—
1455	C₂×C₁₃	—	8	1	no	—
1456	C₂×C₁₃	—	8	1	no	—
1457	C₂×C₁₃	C₂×#535	1	1	yes	characteristic
1458	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1459	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1460	D₁₃	—	4	1	no	—
1461	D₁₃	—	8	1	no	—
1462	D₁₃	—	8	1	no	—
1463	D₁₃	—	8	1	no	—
1464	D₁₃	—	8	1	no	—
1465	D₁₃	#3224	1	4	yes	direct product factor
1466	C₂⁴	—	2	1	no	—
1467	C₂⁴	—	13	1	no	—
1468	C₂⁴	—	26	1	no	—
1469	C₂⁴	—	26	1	no	—
1470	C₂⁴	—	26	1	no	—
1471	C₂⁴	—	26	1	no	—
1472	C₂⁴	—	26	1	no	—
1473	C₂⁴	—	26	1	no	—
1474	C₂⁴	—	26	1	no	—
1475	C₂⁴	—	52	4	no	—
1476	C₂⁴	—	104	2	no	—
1477	C₂⁴	—	104	2	no	—
1478	#41	—	4	1	no	—
1479	#41	—	4	1	no	—
1480	#41	—	52	1	no	—
1481	#41	—	52	1	no	—
1482	#41	—	52	4	no	—
1483	#41	—	52	1	no	—
1484	#41	—	52	1	no	—
1485	#41	—	52	4	no	—
1486	#41	—	52	1	no	—
1487	#41	—	52	1	no	—
1488	C₂×Q₈	—	2	1	no	—
1489	C₂×Q₈	—	13	1	no	—
1490	C₂×Q₈	—	13	1	no	—
1491	C₂×Q₈	—	26	1	no	—
1492	C₂×Q₈	—	26	1	no	—
1493	C₂×Q₈	—	26	1	no	—
1494	C₂×Q₈	—	26	1	no	—
1495	C₂×Q₈	—	26	2	no	—
1496	C₂×Q₈	—	26	2	no	—
1497	C₂×Q₈	—	26	2	no	—
1498	C₂×Q₈	—	26	2	no	—
1499	C₂×Q₈	—	26	1	no	—
1500	C₂×Q₈	—	104	2	no	—
1501	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1502	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	2	1	no	—
1509	C₂×D₄	—	2	1	no	—
1510	C₂×D₄	—	4	1	no	—
1511	C₂×D₄	—	4	1	no	—
1512	C₂×D₄	—	13	1	no	—
1513	C₂×D₄	—	13	1	no	—
1514	C₂×D₄	—	13	1	no	—
1515	C₂×D₄	—	13	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	2	no	—
1519	C₂×D₄	—	26	2	no	—
1520	C₂×D₄	—	26	2	no	—
1521	C₂×D₄	—	26	2	no	—
1522	C₂×D₄	—	26	2	no	—
1523	C₂×D₄	—	26	2	no	—
1524	C₂×D₄	—	26	2	no	—
1525	C₂×D₄	—	26	2	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	26	1	no	—
1538	C₂×D₄	—	26	1	no	—
1539	C₂×D₄	—	26	1	no	—
1540	C₂×D₄	—	26	1	no	—
1541	C₂×D₄	—	26	1	no	—
1542	C₂×D₄	—	26	1	no	—
1543	C₂×D₄	—	26	1	no	—
1544	C₂×D₄	—	26	1	no	—
1545	C₂×D₄	—	26	1	no	—
1546	C₂×D₄	—	26	1	no	—
1547	C₂×D₄	—	26	1	no	—
1548	C₂×D₄	—	26	1	no	—
1549	C₂×D₄	—	52	1	no	—
1550	C₂×D₄	—	52	1	no	—
1551	C₂×D₄	—	52	1	no	—
1552	C₂×D₄	—	52	1	no	—
1553	C₂×D₄	—	52	1	no	—
1554	C₂×D₄	—	52	1	no	—
1555	C₂×D₄	—	52	4	no	—
1556	C₂×D₄	—	52	4	no	—
1557	C₂×D₄	—	52	4	no	—
1558	C₂×D₄	—	52	4	no	—
1559	C₂×D₄	—	104	2	no	—
1560	C₂×D₄	—	104	2	no	—
1561	C₂×D₄	—	104	2	no	—
1562	C₂×D₄	—	104	2	no	—
1563	C₂×D₄	—	104	2	no	—
1564	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1565	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1566	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1567	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1568	C₂²×C₄	—	2	1	no	—
1569	C₂²×C₄	—	2	1	no	—
1570	C₂²×C₄	—	13	1	no	—
1571	C₂²×C₄	—	13	1	no	—
1572	C₂²×C₄	—	13	1	no	—
1573	C₂²×C₄	—	13	1	no	—
1574	C₂²×C₄	—	13	1	no	—
1575	C₂²×C₄	—	13	1	no	—
1576	C₂²×C₄	—	13	1	no	—
1577	C₂²×C₄	—	13	1	no	—
1578	C₂²×C₄	—	13	1	no	—
1579	C₂²×C₄	—	26	2	no	—
1580	C₂²×C₄	—	26	2	no	—
1581	C₂²×C₄	—	26	1	no	—
1582	C₂²×C₄	—	26	1	no	—
1583	C₂²×C₄	—	26	1	no	—
1584	C₂²×C₄	—	26	1	no	—
1585	C₂²×C₄	—	26	1	no	—
1586	C₂²×C₄	—	26	1	no	—
1587	C₂²×C₄	—	26	1	no	—
1588	C₂²×C₄	—	26	1	no	—
1589	C₂²×C₄	—	26	1	no	—
1590	C₂²×C₄	—	26	1	no	—
1591	C₂²×C₄	—	52	4	no	—
1592	C₂²×C₄	—	104	2	no	—
1593	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1594	Q₁₆	—	4	1	no	—
1595	Q₁₆	—	52	1	no	—
1596	Q₁₆	—	52	1	no	—
1597	Q₁₆	—	52	1	no	—
1598	SD₁₆	—	4	1	no	—
1599	SD₁₆	—	4	1	no	—
1600	SD₁₆	—	4	1	no	—
1601	SD₁₆	—	4	1	no	—
1602	SD₁₆	—	52	1	no	—
1603	SD₁₆	—	52	1	no	—
1604	SD₁₆	—	52	1	no	—
1605	SD₁₆	—	52	1	no	—
1606	SD₁₆	—	52	1	no	—
1607	SD₁₆	—	52	1	no	—
1608	SD₁₆	—	52	1	no	—
1609	SD₁₆	—	52	1	no	—
1610	SD₁₆	—	52	1	no	—
1611	SD₁₆	—	52	1	no	—
1612	SD₁₆	—	52	1	no	—
1613	SD₁₆	—	52	1	no	—
1614	D₈	—	4	1	no	—
1615	D₈	—	4	1	no	—
1616	D₈	—	4	1	no	—
1617	D₈	—	52	1	no	—
1618	D₈	—	52	1	no	—
1619	D₈	—	52	1	no	—
1620	D₈	—	52	1	no	—
1621	D₈	—	52	1	no	—
1622	D₈	—	52	1	no	—
1623	D₈	—	52	1	no	—
1624	D₈	—	52	1	no	—
1625	D₈	—	52	1	no	—
1626	C₂×C₈	—	13	1	no	—
1627	C₂×C₈	—	13	1	no	—
1628	C₂×C₈	—	13	1	no	—
1629	C₂×C₈	—	13	1	no	—
1630	C₂×C₈	—	26	2	no	—
1631	C₂×C₈	—	26	2	no	—
1632	C₂×C₈	—	26	2	no	—
1633	C₂×C₈	—	26	2	no	—
1634	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1635	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1636	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1637	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1638	C₄⋊C₄	—	2	1	no	—
1639	C₄⋊C₄	—	2	1	no	—
1640	C₄⋊C₄	—	2	1	no	—
1641	C₄⋊C₄	—	13	1	no	—
1642	C₄⋊C₄	—	13	1	no	—
1643	C₄⋊C₄	—	13	1	no	—
1644	C₄⋊C₄	—	13	1	no	—
1645	C₄⋊C₄	—	13	1	no	—
1646	C₄⋊C₄	—	13	1	no	—
1647	C₄⋊C₄	—	13	1	no	—
1648	C₄⋊C₄	—	13	1	no	—
1649	C₄⋊C₄	—	26	1	no	—
1650	C₄⋊C₄	—	26	1	no	—
1651	C₄⋊C₄	—	26	1	no	—
1652	C₄⋊C₄	—	26	1	no	—
1653	C₄⋊C₄	—	26	1	no	—
1654	C₄⋊C₄	—	26	1	no	—
1655	C₄⋊C₄	—	26	1	no	—
1656	C₄⋊C₄	—	26	1	no	—
1657	C₄⋊C₄	—	26	1	no	—
1658	C₄⋊C₄	—	26	1	no	—
1659	C₄⋊C₄	—	26	1	no	—
1660	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1661	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1662	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1663	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	1	no	—
1671	C₂²⋊C₄	—	2	1	no	—
1672	C₂²⋊C₄	—	2	1	no	—
1673	C₂²⋊C₄	—	13	1	no	—
1674	C₂²⋊C₄	—	13	1	no	—
1675	C₂²⋊C₄	—	13	1	no	—
1676	C₂²⋊C₄	—	13	1	no	—
1677	C₂²⋊C₄	—	13	1	no	—
1678	C₂²⋊C₄	—	13	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	—	26	1	no	—
1696	C₂²⋊C₄	—	26	1	no	—
1697	C₂²⋊C₄	—	26	1	no	—
1698	C₂²⋊C₄	—	26	1	no	—
1699	C₂²⋊C₄	—	26	1	no	—
1700	C₂²⋊C₄	—	26	1	no	—
1701	C₂²⋊C₄	—	26	1	no	—
1702	C₂²⋊C₄	—	26	1	no	—
1703	C₂²⋊C₄	—	26	1	no	—
1704	C₂²⋊C₄	—	26	1	no	—
1705	C₂²⋊C₄	—	26	1	no	—
1706	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1707	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1708	C₄²	—	2	1	no	—
1709	C₄²	—	13	1	no	—
1710	C₄²	—	13	1	no	—
1711	C₄²	—	13	1	no	—
1712	C₄²	—	13	1	no	—
1713	C₄²	—	13	1	no	—
1714	C₄²	—	13	1	no	—
1715	C₄²	—	26	1	no	—
1716	C₄²	—	26	1	no	—
1717	C₄²	—	26	1	no	—
1718	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1719	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1720	C₁₃	C₂×#3224	1	1	yes	characteristic, complemented, Sylow
1721	C₂³	—	2	1	no	—
1722	C₂³	—	2	1	no	—
1723	C₂³	—	2	1	no	—
1724	C₂³	—	2	1	no	—
1725	C₂³	—	4	2	no	—
1726	C₂³	—	8	1	no	—
1727	C₂³	—	8	1	no	—
1728	C₂³	—	13	1	no	—
1729	C₂³	—	13	1	no	—
1730	C₂³	—	26	2	no	—
1731	C₂³	—	26	2	no	—
1732	C₂³	—	26	2	no	—
1733	C₂³	—	26	1	no	—
1734	C₂³	—	26	1	no	—
1735	C₂³	—	26	1	no	—
1736	C₂³	—	26	1	no	—
1737	C₂³	—	52	2	no	—
1738	C₂³	—	52	2	no	—
1739	C₂³	—	52	2	no	—
1740	C₂³	—	52	2	no	—
1741	C₂³	—	52	2	no	—
1742	C₂³	—	52	2	no	—
1743	C₂³	—	52	2	no	—
1744	C₂³	—	52	2	no	—
1745	C₂³	—	52	2	no	—
1746	C₂³	—	52	2	no	—
1747	C₂³	—	52	2	no	—
1748	C₂³	—	52	2	no	—
1749	C₂³	—	52	2	no	—
1750	C₂³	—	52	2	no	—
1751	C₂³	—	52	2	no	—
1752	C₂³	—	104	1	no	—
1753	C₂³	—	104	1	no	—
1754	C₂³	—	104	1	no	—
1755	C₂³	—	104	1	no	—
1756	C₂³	—	104	1	no	—
1757	C₂³	—	104	1	no	—
1758	C₂³	—	104	16	no	—
1759	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1760	Q₈	—	2	1	no	—
1761	Q₈	—	2	1	no	—
1762	Q₈	—	2	1	no	—
1763	Q₈	—	2	1	no	—
1764	Q₈	—	8	1	no	—
1765	Q₈	—	26	1	no	—
1766	Q₈	—	26	1	no	—
1767	Q₈	—	26	1	no	—
1768	Q₈	—	26	1	no	—
1769	Q₈	—	52	2	no	—
1770	Q₈	—	52	2	no	—
1771	Q₈	—	104	1	no	—
1772	Q₈	—	104	1	no	—
1773	Q₈	—	104	1	no	—
1774	D₄	—	2	1	no	—
1775	D₄	—	2	1	no	—
1776	D₄	—	2	1	no	—
1777	D₄	—	2	1	no	—
1778	D₄	—	2	1	no	—
1779	D₄	—	2	1	no	—
1780	D₄	—	2	1	no	—
1781	D₄	—	2	1	no	—
1782	D₄	—	4	2	no	—
1783	D₄	—	4	2	no	—
1784	D₄	—	8	1	no	—
1785	D₄	—	8	1	no	—
1786	D₄	—	8	1	no	—
1787	D₄	—	8	1	no	—
1788	D₄	—	8	1	no	—
1789	D₄	—	26	1	no	—
1790	D₄	—	26	1	no	—
1791	D₄	—	26	1	no	—
1792	D₄	—	26	1	no	—
1793	D₄	—	26	1	no	—
1794	D₄	—	26	1	no	—
1795	D₄	—	26	1	no	—
1796	D₄	—	26	1	no	—
1797	D₄	—	52	2	no	—
1798	D₄	—	52	2	no	—
1799	D₄	—	52	2	no	—
1800	D₄	—	52	2	no	—
1801	D₄	—	52	2	no	—
1802	D₄	—	52	2	no	—
1803	D₄	—	52	2	no	—
1804	D₄	—	52	2	no	—
1805	D₄	—	52	2	no	—
1806	D₄	—	52	2	no	—
1807	D₄	—	104	1	no	—
1808	D₄	—	104	1	no	—
1809	D₄	—	104	1	no	—
1810	D₄	—	104	1	no	—
1811	D₄	—	104	1	no	—
1812	D₄	—	104	1	no	—
1813	D₄	—	104	1	no	—
1814	D₄	—	104	1	no	—
1815	D₄	—	104	1	no	—
1816	D₄	—	104	1	no	—
1817	D₄	—	104	1	no	—
1818	D₄	—	104	1	no	—
1819	D₄	—	104	1	no	—
1820	D₄	—	104	1	no	—
1821	D₄	—	104	1	no	—
1822	C₂×C₄	—	2	1	no	—
1823	C₂×C₄	—	2	1	no	—
1824	C₂×C₄	—	2	1	no	—
1825	C₂×C₄	—	2	1	no	—
1826	C₂×C₄	—	2	1	no	—
1827	C₂×C₄	—	2	1	no	—
1828	C₂×C₄	—	4	2	no	—
1829	C₂×C₄	—	8	1	no	—
1830	C₂×C₄	—	13	1	no	—
1831	C₂×C₄	—	13	2	no	—
1832	C₂×C₄	—	13	2	no	—
1833	C₂×C₄	—	13	1	no	—
1834	C₂×C₄	—	13	1	no	—
1835	C₂×C₄	—	13	1	no	—
1836	C₂×C₄	—	13	1	no	—
1837	C₂×C₄	—	13	1	no	—
1838	C₂×C₄	—	26	2	no	—
1839	C₂×C₄	—	26	2	no	—
1840	C₂×C₄	—	26	2	no	—
1841	C₂×C₄	—	26	2	no	—
1842	C₂×C₄	—	26	2	no	—
1843	C₂×C₄	—	26	2	no	—
1844	C₂×C₄	—	26	2	no	—
1845	C₂×C₄	—	26	1	no	—
1846	C₂×C₄	—	26	1	no	—
1847	C₂×C₄	—	26	1	no	—
1848	C₂×C₄	—	26	1	no	—
1849	C₂×C₄	—	26	1	no	—
1850	C₂×C₄	—	26	1	no	—
1851	C₂×C₄	—	52	2	no	—
1852	C₂×C₄	—	52	2	no	—
1853	C₂×C₄	—	52	2	no	—
1854	C₂×C₄	—	52	2	no	—
1855	C₂×C₄	—	52	2	no	—
1856	C₂×C₄	—	52	2	no	—
1857	C₂×C₄	—	52	2	no	—
1858	C₂×C₄	—	104	1	no	—
1859	C₂×C₄	—	104	1	no	—
1860	C₂×C₄	—	104	1	no	—
1861	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1862	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1863	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1864	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1865	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1866	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1867	C₈	—	2	1	no	—
1868	C₈	—	2	1	no	—
1869	C₈	—	2	1	no	—
1870	C₈	—	2	1	no	—
1871	C₈	—	26	1	no	—
1872	C₈	—	26	1	no	—
1873	C₈	—	26	1	no	—
1874	C₈	—	26	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	4	1	no	—
1882	C₂²	—	4	1	no	—
1883	C₂²	—	4	1	no	—
1884	C₂²	—	4	1	no	—
1885	C₂²	—	4	1	no	—
1886	C₂²	—	4	1	no	—
1887	C₂²	—	4	1	no	—
1888	C₂²	—	4	1	no	—
1889	C₂²	—	4	1	no	—
1890	C₂²	—	8	4	no	—
1891	C₂²	—	13	2	no	—
1892	C₂²	—	13	2	no	—
1893	C₂²	—	13	2	no	—
1894	C₂²	—	26	1	no	—
1895	C₂²	—	26	1	no	—
1896	C₂²	—	26	1	no	—
1897	C₂²	—	52	4	no	—
1898	C₂²	—	52	1	no	—
1899	C₂²	—	52	1	no	—
1900	C₂²	—	52	1	no	—
1901	C₂²	—	52	1	no	—
1902	C₂²	—	52	1	no	—
1903	C₂²	—	52	1	no	—
1904	C₂²	—	52	1	no	—
1905	C₂²	—	52	1	no	—
1906	C₂²	—	52	1	no	—
1907	C₂²	—	52	1	no	—
1908	C₂²	—	52	1	no	—
1909	C₂²	—	52	1	no	—
1910	C₂²	—	104	4	no	—
1911	C₂²	—	104	4	no	—
1912	C₂²	—	104	4	no	—
1913	C₂²	—	104	4	no	—
1914	C₂²	—	104	4	no	—
1915	C₂²	—	104	4	no	—
1916	C₂²	—	104	4	no	—
1917	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	4	1	no	—
1924	C₄	—	4	1	no	—
1925	C₄	—	4	1	no	—
1926	C₄	—	4	1	no	—
1927	C₄	—	13	2	no	—
1928	C₄	—	26	1	no	—
1929	C₄	—	26	1	no	—
1930	C₄	—	26	1	no	—
1931	C₄	—	26	1	no	—
1932	C₄	—	26	1	no	—
1933	C₄	—	52	1	no	—
1934	C₄	—	52	1	no	—
1935	C₄	—	52	1	no	—
1936	C₄	—	52	1	no	—
1937	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1938	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1939	C₂	—	4	1	no	—
1940	C₂	—	8	1	no	—
1941	C₂	—	8	1	no	—
1942	C₂	—	8	1	no	—
1943	C₂	—	8	1	no	—
1944	C₂	—	13	4	no	—
1945	C₂	—	52	1	no	—
1946	C₂	—	104	1	no	—
1947	C₂	—	104	1	no	—
1948	C₂	—	104	1	no	—
1949	C₂	—	104	1	no	—
1950	C₂	D₁₃×#535	1	1	yes	characteristic
1951	C₂	D₁₃×#576	1	1	yes	characteristic
1952	C₂	D₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3224	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3224	D₁₃
hypocenter	C₁₃	C₂×#3224
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3224

Complements

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

N	H ≅ G/N	type
1. D₁₃×#542	C₂	semidirect
2. D₁₃×#535	C₂	semidirect
3. #13125937	C₂	semidirect
4. #13125936	C₂	semidirect
5. #13125935	C₂	semidirect
6. #13125934	C₂	semidirect
7. #13125933	C₂	semidirect
8. #13125932	C₂	semidirect
9. #13125931	C₂	semidirect
10. #13125930	C₂	semidirect
11. #13125929	C₂	semidirect
12. #13125928	C₂	semidirect
13. #13125927	C₂	semidirect
14. #13125926	C₂	semidirect
15. #13125925	C₂	semidirect
16. #13125924	C₂	semidirect
17. #13125923	C₂	semidirect
18. D₁₃×#496	C₂	semidirect
19. D₁₃×#495	C₂	semidirect
20. D₁₃×#489	C₂	semidirect
21. D₁₃×#486	C₂	semidirect
22. D₁₃×#464	C₂	semidirect
23. D₁₃×#460	C₂	semidirect
24. D₁₃×#463	C₂	semidirect
25. D₁₃×#459	C₂	semidirect
26. D₁₃×#452	C₂	semidirect
27. D₁₃×#449	C₂	semidirect
28. D₁₃×#450	C₂	semidirect
29. D₁₃×#447	C₂	semidirect
30. D₁₃×#433	C₂	semidirect
31. C₁₃×#3224	C₂	semidirect
34. C₁₃×#542	C₂²	semidirect
35. C₁₃×#535	C₂²	semidirect
36. #11719535	C₂²	semidirect
37. #11719510	C₂²	semidirect
38. C₂×Q₁₆×D₁₃	C₂²	semidirect
41. C₂×SD₁₆×D₁₃	C₂²	semidirect
42. C₂×SD₁₆×D₁₃	C₂²	semidirect
45. C₂×D₈×D₁₃	C₂²	semidirect
46. #11719438	C₂²	semidirect
47. D₁₃×C₄⋊Q₈	C₂²	semidirect
48. #11719420	C₂²	semidirect
49. #11719420	C₂²	semidirect
54. #11719387	C₂²	semidirect
55. #11719379	C₂²	semidirect
56. #11719379	C₂²	semidirect
60. D₁₃×#124	C₂²	semidirect
64. #11719348	C₂²	semidirect
73. #11719308	C₂²	semidirect
78. #11719287	C₂²	semidirect
79. C₄×Q₈×D₁₃	C₂²	semidirect
80. #11719266	C₂²	semidirect
81. C₄×D₄×D₁₃	C₂²	semidirect
82. #11719239	C₂²	semidirect
83. #11719230	C₂²	semidirect
85. C₁₃×#496	C₂²	semidirect
86. C₁₃×#495	C₂²	semidirect
87. C₁₃×#489	C₂²	semidirect
88. C₁₃×#486	C₂²	semidirect
89. C₁₃×#464	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#460	C₂²	semidirect
92. C₁₃×#459	C₂²	semidirect
93. C₁₃×#452	C₂²	semidirect
94. C₁₃×#450	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#447	C₂²	semidirect
97. C₁₃×#433	C₂²	semidirect
98. #11718900	C₂²	semidirect
99. #11718899	C₂²	semidirect
100. #11718879	C₂²	semidirect
101. #11718878	C₂²	semidirect
102. #11718852	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718846	C₂²	semidirect
105. #11718837	C₂²	semidirect
106. #11718837	C₂²	semidirect
107. #11718834	C₂²	semidirect
108. #11718833	C₂²	semidirect
109. #11718830	C₂²	semidirect
110. #11718830	C₂²	semidirect
111. #11718829	C₂²	semidirect
112. #11718829	C₂²	semidirect
113. #11718827	C₂²	semidirect
114. #11718826	C₂²	semidirect
115. #11718824	C₂²	semidirect
116. #11718824	C₂²	semidirect
117. #11718819	C₂²	semidirect
118. #11718817	C₂²	semidirect
119. #11718817	C₂²	semidirect
120. #11718816	C₂²	semidirect
121. #11718815	C₂²	semidirect
122. #11718815	C₂²	semidirect
123. #11718814	C₂²	semidirect
124. #11718811	C₂²	semidirect
125. #11718811	C₂²	semidirect
126. #11718750	C₂²	semidirect
127. #11718749	C₂²	semidirect
128. #11718736	C₂²	semidirect
129. #11718735	C₂²	semidirect
130. #11718733	C₂²	semidirect
131. #11718731	C₂²	semidirect
132. #11718720	C₂²	semidirect
133. #11718720	C₂²	semidirect
134. #11718719	C₂²	semidirect
135. #11718718	C₂²	semidirect
136. #11718716	C₂²	semidirect
137. #11718715	C₂²	semidirect
138. #11718708	C₂²	semidirect
139. #11718707	C₂²	semidirect
140. #11718698	C₂²	semidirect
141. #11718697	C₂²	semidirect
142. #11718689	C₂²	semidirect
143. #11718688	C₂²	semidirect
144. #11718677	C₂²	semidirect
145. #11718676	C₂²	semidirect
146. #11718661	C₂²	semidirect
147. #11718509	C₂²	semidirect
148. #11718506	C₂²	semidirect
149. #11718505	C₂²	semidirect
150. #11718504	C₂²	semidirect
151. #11718501	C₂²	semidirect
152. #11718501	C₂²	semidirect
153. D₁₃×C₄⋊C₈	C₂²	semidirect
154. D₁₃×C₄⋊C₈	C₂²	semidirect
155. #11718480	C₂²	semidirect
156. #11718472	C₂²	semidirect
157. #11718471	C₂²	semidirect
158. D₁₃×#103	C₂²	semidirect
159. D₁₃×#103	C₂²	semidirect
160. #11718459	C₂²	semidirect
161. #11718456	C₂²	semidirect
162. #11718456	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718447	C₂²	semidirect
165. #11718447	C₂²	semidirect
166. #11718444	C₂²	semidirect
167. #11718442	C₂²	semidirect
168. #11718437	C₂²	semidirect
169. #11718437	C₂²	semidirect
170. #11718434	C₂²	semidirect
171. #11718434	C₂²	semidirect
176. D₁₃×#102	C₂²	semidirect
177. D₁₃×#102	C₂²	semidirect
178. #11718428	C₂²	semidirect
179. #11718426	C₂²	semidirect
180. #11718426	C₂²	semidirect
181. #11718423	C₂²	semidirect
182. #11718423	C₂²	semidirect
183. #11718421	C₂²	semidirect
184. #11718421	C₂²	semidirect
185. #11718421	C₂²	semidirect
186. #11718421	C₂²	semidirect
187. #11718395	C₂²	semidirect
188. #11718394	C₂²	semidirect
189. #11718393	C₂²	semidirect
190. #11718392	C₂²	semidirect
193. #11718381	C₂²	semidirect
194. #11718381	C₂²	semidirect
195. #11718375	C₂²	semidirect
196. #11718373	C₂²	semidirect
197. #11718370	C₂²	semidirect
198. D₁₃×#97	C₂²	semidirect
199. #11718357	C₂²	semidirect
200. #11718355	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. C₄×C₈×D₁₃	C₂²	semidirect
237. C₂×C₁₃×Q₁₆	C₂³	semidirect
240. C₂×C₁₃×SD₁₆	C₂³	semidirect
241. C₂×C₁₃×SD₁₆	C₂³	semidirect
244. C₂×C₁₃×D₈	C₂³	semidirect
245. C₁₃×C₄⋊Q₈	C₂³	semidirect
252. C₁₃×#124	C₂³	semidirect
261. C₄×Q₈×C₁₃	C₂³	semidirect
262. C₄×D₄×C₁₃	C₂³	semidirect
269. #88201	C₂³	semidirect
272. Q₈×Dic₁₃	C₂³	semidirect
274. C₂×#6107	C₂³	semidirect
275. C₂×#6107	C₂³	semidirect
278. C₂×#6106	C₂³	semidirect
279. C₂×#6106	C₂³	semidirect
305. #88190	C₂³	semidirect
307. D₄×Dic₁₃	C₂³	semidirect
310. C₂×#6105	C₂³	semidirect
311. C₂×#6105	C₂³	semidirect
316. C₂×#6104	C₂³	semidirect
317. C₂×#6104	C₂³	semidirect
334. C₂×Dic₅₂	C₂³	semidirect
337. C₂×D₁₀₄	C₂³	semidirect
340. C₂×#6095	C₂³	semidirect
341. C₂×#6095	C₂³	semidirect
359. #88147	C₂³	semidirect
370. #88142	C₂³	semidirect
371. #88142	C₂³	semidirect
373. #88141	C₂³	semidirect
422. #88129	C₂³	semidirect
425. C₄×D₅₂	C₂³	semidirect
431. #88123	C₂³	semidirect
433. C₄×Dic₂₆	C₂³	semidirect
434. C₁₃×C₄⋊C₈	C₂³	semidirect
435. C₁₃×C₄⋊C₈	C₂³	semidirect
436. C₁₃×#103	C₂³	semidirect
437. C₁₃×#103	C₂³	semidirect
442. C₁₃×#102	C₂³	semidirect
443. C₁₃×#102	C₂³	semidirect
446. C₁₃×#97	C₂³	semidirect
447. C₄×C₈×C₁₃	C₂³	semidirect
448. #88075	C₂³	semidirect
449. #88075	C₂³	semidirect
454. #88072	C₂³	semidirect
455. #88072	C₂³	semidirect
462. #88061	C₂³	semidirect
463. #88061	C₂³	semidirect
468. #88056	C₂³	semidirect
469. #88056	C₂³	semidirect
470. #88055	C₂³	semidirect
471. #88055	C₂³	semidirect
472. #88054	C₂³	semidirect
473. #88054	C₂³	semidirect
474. #88054	C₂³	semidirect
475. #88054	C₂³	semidirect
476. C₈×Dic₁₃	C₂³	semidirect
477. C₈×Dic₁₃	C₂³	semidirect
478. #88050	C₂³	semidirect
479. #88050	C₂³	semidirect
484. #88049	C₂³	semidirect
485. #88049	C₂³	semidirect
486. C₄⋊#1055	C₂³	semidirect
487. C₄⋊#1055	C₂³	semidirect
488. #88043	C₂³	semidirect
489. C₄×#1055	C₂³	semidirect
762. #3224	D₁₃	direct (N × H)
951. #542	C₂×D₁₃	semidirect
963. #535	C₂×D₁₃	semidirect
990. #496	C₂×D₁₃	semidirect
998. #495	C₂×D₁₃	semidirect
1006. #489	C₂×D₁₃	semidirect
1014. #486	C₂×D₁₃	semidirect
1022. #464	C₂×D₁₃	semidirect
1030. #463	C₂×D₁₃	semidirect
1038. #460	C₂×D₁₃	semidirect
1046. #459	C₂×D₁₃	semidirect
1054. #452	C₂×D₁₃	semidirect
1062. #450	C₂×D₁₃	semidirect
1070. #449	C₂×D₁₃	semidirect
1078. #447	C₂×D₁₃	semidirect
1086. #433	C₂×D₁₃	semidirect
1203. C₂×Q₁₆	C₂²×D₁₃	semidirect
1222. C₂×SD₁₆	C₂²×D₁₃	semidirect
1223. C₂×SD₁₆	C₂²×D₁₃	semidirect
1238. C₂×D₈	C₂²×D₁₃	semidirect
1248. C₄⋊Q₈	C₂²×D₁₃	semidirect
1294. #124	C₂²×D₁₃	semidirect
1360. C₄×Q₈	C₂²×D₁₃	semidirect
1366. C₄×D₄	C₂²×D₁₃	semidirect
1402. C₄⋊C₈	C₂²×D₁₃	semidirect
1403. C₄⋊C₈	C₂²×D₁₃	semidirect
1410. #103	C₂²×D₁₃	semidirect
1411. #103	C₂²×D₁₃	semidirect
1434. #102	C₂²×D₁₃	semidirect
1435. #102	C₂²×D₁₃	semidirect
1447. #97	C₂²×D₁₃	semidirect
1451. C₄×C₈	C₂²×D₁₃	semidirect
1465. D₁₃	#3224	direct (N × H)
1720. C₁₃	C₂×#3224	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#542	2
D₁₃×#535	2
#13125937	2
#13125936	2
#13125935	2
#13125934	2
#13125933	2
#13125932	2
#13125931	2
#13125930	2
#13125929	2
#13125928	2
#13125927	2
#13125926	2
#13125925	2
#13125924	2
#13125923	2
D₁₃×#496	2
D₁₃×#495	2
D₁₃×#489	2
D₁₃×#486	2
D₁₃×#464	2
D₁₃×#460	2
D₁₃×#463	2
D₁₃×#459	2
D₁₃×#452	2
D₁₃×#449	2
D₁₃×#450	2
D₁₃×#447	2
D₁₃×#433	2
C₁₃×#3224	2
C₂×#3224	13

Subgroups — D13×#3224 #16734266

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3224 #16734266