Subgroups — #16755177

Order 3328.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128791	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128453	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127827	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127819	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127527	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127516	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126730	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126719	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126697	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126678	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126667	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126645	C₂	1	1	yes	maximal, characteristic, complemented
13	Q₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126577	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126572	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126543	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126538	C₂	1	1	yes	maximal, characteristic, complemented
18	SD₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#13126188	C₂	1	1	yes	maximal, characteristic, complemented
20	#13126186	C₂	1	1	yes	maximal, characteristic, complemented
21	#13126170	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125805	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125801	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125791	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124916	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124915	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124853	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124290	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123945	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
35	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	#11719522	C₂²	1	1	yes	characteristic
37	#11719522	C₂²	1	1	yes	characteristic, complemented
38	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
40	#11719511	C₂²	1	1	yes	characteristic
41	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
42	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
43	C₂×Q₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
45	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
46	#11719386	C₂²	1	1	yes	characteristic
47	#11719385	C₂²	1	1	yes	characteristic
48	#11719385	C₂²	1	1	yes	characteristic
49	#11719384	—	2	1	no	—
50	#11719383	—	2	1	no	—
51	#11719382	C₂²	1	1	yes	characteristic
52	#11719381	C₂²	1	1	yes	characteristic
53	D₁₃×#124	C₂²	1	1	yes	characteristic
54	#11719376	C₂²	1	1	yes	characteristic
55	#11719375	—	2	1	no	—
56	#11719374	—	2	1	no	—
57	#11719373	C₂²	1	1	yes	characteristic
58	#11719286	—	2	1	no	—
59	#11719286	C₂²	1	1	yes	characteristic, complemented
60	#11719285	—	2	1	no	—
61	#11719285	C₂²	1	1	yes	characteristic, complemented
62	#11719283	—	2	1	no	—
63	#11719283	C₂²	1	1	yes	characteristic, complemented
64	#11719281	C₂²	1	1	yes	characteristic, complemented
65	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
66	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
67	#11719274	C₂²	1	1	yes	characteristic, complemented
68	#11719273	—	2	1	no	—
69	#11719273	C₂²	1	1	yes	characteristic, complemented
70	#11719218	—	2	1	no	—
71	#11719218	C₂²	1	1	yes	characteristic, complemented
72	#11719212	—	2	1	no	—
73	#11719212	C₂²	1	1	yes	characteristic
74	#11719200	—	2	1	no	—
75	#11719199	—	2	1	no	—
76	#11719195	—	2	1	no	—
77	#11719191	—	2	1	no	—
78	#11719184	—	2	1	no	—
79	#11719184	C₂²	1	1	yes	characteristic
80	#11719184	C₂²	1	1	yes	characteristic, complemented
81	C₄×#6127	—	2	1	no	—
82	C₄×#6127	C₂²	1	1	yes	characteristic
83	C₁₃×#464	C₂²	1	1	yes	characteristic
84	C₁₃×#464	C₂²	1	1	yes	characteristic
85	C₁₃×#464	C₂²	1	1	yes	characteristic
86	C₁₃×#464	C₂²	1	1	yes	characteristic
87	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
91	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
93	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
94	#11718889	C₂²	1	1	yes	characteristic, complemented
95	#11718889	C₂²	1	1	yes	characteristic, complemented
96	#11718888	C₂²	1	1	yes	characteristic
97	#11718888	C₂²	1	1	yes	characteristic, complemented
98	#11718879	C₂²	1	1	yes	characteristic
99	#11718878	C₂²	1	1	yes	characteristic
100	#11718852	C₂²	1	1	yes	characteristic, complemented
101	#11718849	C₂²	1	1	yes	characteristic, complemented
102	#11718849	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718848	C₂²	1	1	yes	characteristic, complemented
105	#11718847	C₂²	1	1	yes	characteristic, complemented
106	#11718847	C₂²	1	1	yes	characteristic, complemented
107	#11718846	C₂²	1	1	yes	characteristic, complemented
108	#11718846	C₂²	1	1	yes	characteristic, complemented
109	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
110	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
111	#11718843	C₂²	1	1	yes	characteristic, complemented
112	#11718843	C₂²	1	1	yes	characteristic, complemented
113	#11718842	C₂²	1	1	yes	characteristic, complemented
114	#11718836	C₂²	1	1	yes	characteristic
115	#11718834	C₂²	1	1	yes	characteristic, complemented
116	#11718833	C₂²	1	1	yes	characteristic
117	#11718832	C₂²	1	1	yes	characteristic
118	#11718832	C₂²	1	1	yes	characteristic
119	#11718831	C₂²	1	1	yes	characteristic
120	#11718830	C₂²	1	1	yes	characteristic
121	#11718829	C₂²	1	1	yes	characteristic
122	#11718827	C₂²	1	1	yes	characteristic
123	#11718826	C₂²	1	1	yes	characteristic, complemented
124	#11718824	C₂²	1	1	yes	characteristic
125	#11718823	C₂²	1	1	yes	characteristic
126	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic
127	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
128	#11718777	C₂²	1	1	yes	characteristic, complemented
129	#11718776	C₂²	1	1	yes	characteristic
130	#11718775	C₂²	1	1	yes	characteristic
131	#11718775	C₂²	1	1	yes	characteristic, complemented
132	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
133	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
134	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
135	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
136	#11718720	C₂²	1	1	yes	characteristic
137	#11718720	C₂²	1	1	yes	characteristic, complemented
138	#11718718	C₂²	1	1	yes	characteristic
139	#11718718	C₂²	1	1	yes	characteristic, complemented
140	#11718717	C₂²	1	1	yes	characteristic
141	#11718717	C₂²	1	1	yes	characteristic, complemented
142	#11718715	C₂²	1	1	yes	characteristic
143	#11718715	C₂²	1	1	yes	characteristic, complemented
144	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
145	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
146	#11718689	C₂²	1	1	yes	characteristic, complemented
147	#11718689	C₂²	1	1	yes	characteristic, complemented
148	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
149	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
150	#11718683	C₂²	1	1	yes	characteristic, complemented
151	#11718683	C₂²	1	1	yes	characteristic, complemented
152	#11718632	C₂²	1	1	yes	characteristic, complemented
153	#11718628	C₂²	1	1	yes	characteristic
154	#11718586	C₂²	1	1	yes	characteristic, complemented
155	#11718508	C₂²	1	1	yes	characteristic, complemented
156	#11718508	C₂²	1	1	yes	characteristic, complemented
157	#11718506	C₂²	1	1	yes	characteristic, complemented
158	#11718506	C₂²	1	1	yes	characteristic, complemented
159	#11718505	C₂²	1	1	yes	characteristic, complemented
160	#11718505	C₂²	1	1	yes	characteristic, complemented
161	#11718495	C₂²	1	1	yes	characteristic, complemented
162	#11718495	C₂²	1	1	yes	characteristic, complemented
163	#11718494	C₂²	1	1	yes	characteristic, complemented
164	#11718494	C₂²	1	1	yes	characteristic, complemented
165	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	#11718491	C₂²	1	1	yes	characteristic, complemented
168	#11718491	C₂²	1	1	yes	characteristic, complemented
169	#11718490	C₂²	1	1	yes	characteristic, complemented
170	#11718490	C₂²	1	1	yes	characteristic, complemented
171	#11718479	C₂²	1	1	yes	characteristic, complemented
172	#11718476	C₂²	1	1	yes	characteristic, complemented
173	#11718474	C₂²	1	1	yes	characteristic, complemented
174	#11718471	C₂²	1	1	yes	characteristic, complemented
175	#11718468	C₂²	1	1	yes	characteristic, complemented
176	#11718467	C₂²	1	1	yes	characteristic, complemented
177	#11718466	C₂²	1	1	yes	characteristic, complemented
178	#11718465	C₂²	1	1	yes	characteristic, complemented
179	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
180	#11718461	C₂²	1	1	yes	characteristic, complemented
181	#11718460	C₂²	1	1	yes	characteristic, complemented
182	#11718459	C₂²	1	1	yes	characteristic, complemented
183	#11718453	C₂²	1	1	yes	characteristic, complemented
184	#11718452	C₂²	1	1	yes	characteristic, complemented
185	#11718451	C₂²	1	1	yes	characteristic, complemented
186	#11718449	C₂²	1	1	yes	characteristic, complemented
187	#11718447	C₂²	1	1	yes	characteristic
188	#11718445	C₂²	1	1	yes	characteristic
189	#11718444	C₂²	1	1	yes	characteristic, complemented
190	#11718439	C₂²	1	1	yes	characteristic
191	#11718436	C₂²	1	1	yes	characteristic
192	#11718435	C₂²	1	1	yes	characteristic
193	#11718434	C₂²	1	1	yes	characteristic
194	#11718433	C₂²	1	1	yes	characteristic, complemented
195	D₁₃×#102	C₂²	1	1	yes	characteristic
196	#11718429	C₂²	1	1	yes	characteristic
197	#11718428	C₂²	1	1	yes	characteristic
198	#11718427	C₂²	1	1	yes	characteristic, complemented
199	#11718421	C₂²	1	1	yes	characteristic
200	#11718420	C₂²	1	1	yes	characteristic
201	#11718419	C₂²	1	1	yes	characteristic, complemented
202	#11718417	C₂²	1	1	yes	characteristic
203	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	C₂×#6131	C₂³	1	1	yes	characteristic
208	C₂×#6131	C₂³	1	1	yes	characteristic
209	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×#6129	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×#6127	—	2	1	no	—
214	C₂×#6127	D₄	1	1	yes	characteristic
215	C₂×C₁₃×Q₁₆	—	4	2	no	—
216	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×SD₁₆	—	4	2	no	—
221	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₁₃×#124	—	2	1	no	—
228	C₁₃×#124	—	2	1	no	—
229	C₁₃×#124	C₂³	1	1	yes	characteristic
230	C₁₃×#124	C₂³	1	1	yes	characteristic
231	C₁₃×#124	C₂³	1	1	yes	characteristic
232	C₁₃×#124	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
242	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
243	C₂×C₄²×C₁₃	—	2	1	no	—
244	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
245	#88207	—	2	1	no	—
246	#88207	—	2	1	no	—
247	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
248	#88201	—	2	1	no	—
249	#88201	—	2	1	no	—
250	#88201	C₂³	1	1	yes	characteristic
251	#88201	C₂³	1	1	yes	characteristic
252	#88200	—	2	1	no	—
253	#88200	—	2	1	no	—
254	#88200	—	2	1	no	—
255	#88200	—	2	1	no	—
256	#88200	C₂³	1	1	yes	characteristic
257	#88200	C₂³	1	1	yes	characteristic
258	#88200	C₂³	1	1	yes	characteristic
259	#88200	C₂³	1	1	yes	characteristic
260	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
261	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
263	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
264	#88198	—	2	1	no	—
265	#88198	—	2	1	no	—
266	#88198	C₂³	1	1	yes	characteristic
267	#88198	C₂³	1	1	yes	characteristic
268	C₂×#6107	C₂³	1	1	yes	characteristic
269	C₂×#6107	C₂³	1	1	yes	characteristic
270	C₂×#6107	C₂³	1	1	yes	characteristic
271	C₂×#6107	C₂³	1	1	yes	characteristic
272	C₂×#6106	C₂³	1	1	yes	characteristic
273	C₂×#6106	C₂³	1	1	yes	characteristic
274	C₂×#6106	C₂³	1	1	yes	characteristic
275	C₂×#6106	C₂³	1	1	yes	characteristic
276	#88194	C₂³	1	1	yes	characteristic
277	#88193	—	2	1	no	—
278	#88193	—	2	1	no	—
279	#88192	C₂³	1	1	yes	characteristic
280	#88192	C₂³	1	1	yes	characteristic
281	#88191	—	2	1	no	—
282	#88190	C₂³	1	1	yes	characteristic
283	#88189	—	2	1	no	—
284	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×#6105	C₂³	1	1	yes	characteristic
287	C₂×#6105	C₂³	1	1	yes	characteristic
288	C₂×#6104	C₂³	1	1	yes	characteristic
289	C₂×#6104	C₂³	1	1	yes	characteristic
290	#88184	—	2	1	no	—
291	#88184	—	2	1	no	—
292	#88184	C₂³	1	1	yes	characteristic
293	#88184	C₂³	1	1	yes	characteristic
294	#88183	—	2	1	no	—
295	#88183	—	2	1	no	—
296	#88183	—	2	1	no	—
297	#88183	—	2	1	no	—
298	C₄×C₂²⋊D₁₃	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	—	2	1	no	—
300	C₄×C₂²⋊D₁₃	—	2	1	no	—
301	C₄×C₂²⋊D₁₃	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	—	2	1	no	—
304	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
305	C₄×C₂²⋊D₁₃	D₄	1	1	yes	characteristic
306	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
307	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
308	#88180	—	2	1	no	—
309	#88180	D₄	1	1	yes	characteristic
310	#88178	—	2	1	no	—
311	#88178	—	2	1	no	—
312	#88178	C₂³	1	1	yes	characteristic
313	#88178	C₂³	1	1	yes	characteristic
314	#88173	—	4	2	no	—
315	Q₁₆×D₁₃	—	4	2	no	—
316	#88170	—	4	2	no	—
317	SD₁₆×D₁₃	—	4	2	no	—
318	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
319	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
320	C₂×#6095	C₂³	1	1	yes	characteristic
321	C₂×#6095	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
326	#88152	—	2	1	no	—
327	#88152	—	2	1	no	—
328	#88152	—	2	1	no	—
329	#88151	—	2	1	no	—
330	#88151	C₂³	1	1	yes	characteristic
331	#88150	—	2	1	no	—
332	#88150	—	2	1	no	—
333	#88150	—	2	1	no	—
334	#88149	—	2	1	no	—
335	#88149	C₂³	1	1	yes	characteristic
336	#88148	—	2	1	no	—
337	#88148	—	2	1	no	—
338	#88148	—	2	1	no	—
339	#88147	—	2	1	no	—
340	#88147	C₂³	1	1	yes	characteristic
341	#88146	—	2	1	no	—
342	#88146	C₂³	1	1	yes	characteristic
343	C₄⋊C₄×D₁₃	—	2	1	no	—
344	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
345	#88144	—	2	1	no	—
346	#88144	C₂³	1	1	yes	characteristic
347	#88143	—	2	1	no	—
348	#88143	—	2	1	no	—
349	#88143	—	2	1	no	—
350	#88142	—	2	1	no	—
351	#88142	C₂³	1	1	yes	characteristic
352	#88141	—	2	1	no	—
353	#88141	C₂³	1	1	yes	characteristic
354	#88140	—	2	1	no	—
355	#88139	—	2	1	no	—
356	#88139	—	2	1	no	—
357	#88139	—	2	1	no	—
358	#88139	—	2	1	no	—
359	#88138	—	2	1	no	—
360	#88138	—	2	1	no	—
361	#88138	—	2	1	no	—
362	#88138	—	2	1	no	—
363	#88137	—	2	1	no	—
364	#88137	—	2	1	no	—
365	#88137	—	2	1	no	—
366	#88137	—	2	1	no	—
367	#88136	—	2	1	no	—
368	#88135	—	2	1	no	—
369	#88135	—	2	1	no	—
370	#88135	—	2	1	no	—
371	#88135	—	2	1	no	—
372	#88135	—	2	1	no	—
373	#88135	—	2	1	no	—
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	#88133	—	2	1	no	—
378	#88133	—	2	1	no	—
379	#88133	—	2	1	no	—
380	#88133	—	2	1	no	—
381	#88132	—	2	1	no	—
382	#88132	—	2	1	no	—
383	#88131	—	2	1	no	—
384	#88131	—	2	1	no	—
385	#88131	—	2	1	no	—
386	#88130	—	2	1	no	—
387	#88130	—	2	1	no	—
388	#88130	—	2	1	no	—
389	#88130	—	2	1	no	—
390	#88129	—	2	1	no	—
391	#88129	C₂³	1	1	yes	characteristic
392	#88129	C₂³	1	1	yes	characteristic
393	C₄×D₅₂	—	2	1	no	—
394	C₄×D₅₂	—	2	1	no	—
395	C₄×D₅₂	—	2	1	no	—
396	C₄×D₅₂	D₄	1	1	yes	characteristic
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	C₄×D₅₂	C₂³	1	1	yes	characteristic
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	#88126	—	2	1	no	—
401	#88126	—	2	1	no	—
402	#88126	—	2	1	no	—
403	#88126	—	2	1	no	—
404	#88126	—	2	1	no	—
405	#88126	—	2	1	no	—
406	#88126	D₄	1	1	yes	characteristic
407	#88126	D₄	1	1	yes	characteristic
408	C₄²×D₁₃	—	2	1	no	—
409	C₄²×D₁₃	—	2	1	no	—
410	C₄²×D₁₃	C₂³	1	1	yes	characteristic
411	C₄²×D₁₃	C₂³	1	1	yes	characteristic
412	#88124	—	2	1	no	—
413	#88124	C₂³	1	1	yes	characteristic
414	#88124	C₂³	1	1	yes	characteristic
415	C₄×Dic₂₆	—	2	1	no	—
416	C₄×Dic₂₆	—	2	1	no	—
417	C₄×Dic₂₆	—	2	1	no	—
418	C₄×Dic₂₆	D₄	1	1	yes	characteristic
419	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
420	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
421	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
423	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
432	C₁₃×#102	C₂³	1	1	yes	characteristic
433	C₁₃×#102	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
445	#88072	C₂³	1	1	yes	characteristic
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88060	C₂³	1	1	yes	characteristic
453	#88060	C₂³	1	1	yes	characteristic
454	#88060	C₂³	1	1	yes	characteristic
455	#88060	C₂³	1	1	yes	characteristic
456	#88058	C₂³	1	1	yes	characteristic
457	#88058	C₂³	1	1	yes	characteristic
458	#88057	C₂³	1	1	yes	characteristic
459	#88057	C₂³	1	1	yes	characteristic
460	#88056	C₂³	1	1	yes	characteristic
461	#88056	C₂³	1	1	yes	characteristic
462	#88056	C₂³	1	1	yes	characteristic
463	#88056	C₂³	1	1	yes	characteristic
464	#88054	C₂³	1	1	yes	characteristic
465	#88054	C₂³	1	1	yes	characteristic
466	#88054	C₂³	1	1	yes	characteristic
467	#88054	C₂³	1	1	yes	characteristic
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
469	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
472	#88050	C₂³	1	1	yes	characteristic
473	#88050	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
475	#88049	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	C₄⋊#1055	C₂³	1	1	yes	characteristic
482	C₄×#1055	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#61956	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	1	no	—
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	—	2	1	no	—
489	C₂×Q₈×C₁₃	—	2	2	no	—
490	C₂×Q₈×C₁₃	—	4	1	no	—
491	C₂×Q₈×C₁₃	—	4	1	no	—
492	C₂×Q₈×C₁₃	—	4	1	no	—
493	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	—	2	1	no	—
498	C₂×D₄×C₁₃	—	4	1	no	—
499	C₂×D₄×C₁₃	—	4	1	no	—
500	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₁₃	—	2	1	no	—
503	C₂²×C₄×C₁₃	—	2	1	no	—
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	4	4	no	—
517	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
518	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
519	C₂²×Dic₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	#6131	—	2	2	no	—
523	#6131	—	4	1	no	—
524	#6131	—	4	1	no	—
525	#6131	—	4	1	no	—
526	Q₈×D₁₃	—	2	2	no	—
527	Q₈×D₁₃	—	4	1	no	—
528	Q₈×D₁₃	—	4	1	no	—
529	Q₈×D₁₃	—	4	1	no	—
530	#6129	—	4	1	no	—
531	#6129	—	4	1	no	—
532	D₄×D₁₃	—	4	1	no	—
533	D₄×D₁₃	—	4	1	no	—
534	#6127	—	2	4	no	—
535	#6127	—	4	4	no	—
536	C₂×D₅₂	—	2	1	no	—
537	C₂×D₅₂	—	2	1	no	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
540	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
541	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₁₃	—	2	1	no	—
543	C₂×C₄×D₁₃	—	2	1	no	—
544	C₂×C₄×D₁₃	—	2	1	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×C₄×D₁₃	—	2	1	no	—
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
556	C₂×Dic₂₆	—	2	1	no	—
557	C₂×Dic₂₆	—	2	1	no	—
558	C₂×Dic₂₆	—	2	1	no	—
559	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
560	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
561	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
562	C₁₃×Q₁₆	—	2	2	no	—
563	C₁₃×Q₁₆	—	2	2	no	—
564	C₁₃×Q₁₆	—	4	1	no	—
565	C₁₃×Q₁₆	—	4	1	no	—
566	C₁₃×SD₁₆	—	2	2	no	—
567	C₁₃×SD₁₆	—	2	2	no	—
568	C₁₃×SD₁₆	—	4	1	no	—
569	C₁₃×SD₁₆	—	4	1	no	—
570	C₂×C₈×C₁₃	—	4	1	no	—
571	C₂×C₈×C₁₃	—	4	1	no	—
572	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	—	2	1	no	—
577	C₁₃×C₄⋊C₄	—	2	1	no	—
578	C₁₃×C₄⋊C₄	—	2	1	no	—
579	C₁₃×C₄⋊C₄	—	2	1	no	—
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₁₃×C₂²⋊C₄	—	2	1	no	—
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₄²×C₁₃	—	2	1	no	—
592	C₄²×C₁₃	—	2	1	no	—
593	C₄²×C₁₃	—	2	1	no	—
594	C₄²×C₁₃	—	2	1	no	—
595	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
596	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
597	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
598	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₂²⋊Dic₁₃	—	2	1	no	—
600	C₂²⋊Dic₁₃	—	2	1	no	—
601	C₂²⋊Dic₁₃	—	2	1	no	—
602	C₂²⋊Dic₁₃	—	2	1	no	—
603	C₂²⋊Dic₁₃	—	2	1	no	—
604	C₂²⋊Dic₁₃	—	2	1	no	—
605	C₂²⋊Dic₁₃	—	2	1	no	—
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
608	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
609	#6107	—	2	2	no	—
610	#6107	—	4	1	no	—
611	#6107	—	4	1	no	—
612	#6107	—	4	1	no	—
613	#6106	—	2	2	no	—
614	#6106	—	4	1	no	—
615	#6106	—	4	1	no	—
616	#6106	—	4	1	no	—
617	#6105	—	4	1	no	—
618	#6105	—	4	1	no	—
619	#6104	—	4	1	no	—
620	#6104	—	4	1	no	—
621	#6103	—	2	1	no	—
622	#6103	—	2	1	no	—
623	#6103	—	2	1	no	—
624	#6103	—	2	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	C₂×D₄	1	1	yes	characteristic
642	#6103	C₂×D₄	1	1	yes	characteristic
643	#6103	C₂×D₄	1	1	yes	characteristic
644	#6103	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₁₃	—	2	1	no	—
646	C₄⋊Dic₁₃	—	2	1	no	—
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	—	2	1	no	—
651	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	—	2	1	no	—
675	#6101	—	2	1	no	—
676	#6101	—	2	1	no	—
677	#6101	C₂×D₄	1	1	yes	characteristic
678	#6101	C₂×D₄	1	1	yes	characteristic
679	#6101	C₂×D₄	1	1	yes	characteristic
680	#6101	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	—	2	1	no	—
685	C₄×Dic₁₃	—	2	1	no	—
686	C₄×Dic₁₃	—	2	1	no	—
687	C₄×Dic₁₃	—	2	1	no	—
688	C₄×Dic₁₃	—	2	1	no	—
689	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	C₂×#1055	C₂⁴	1	1	yes	characteristic
697	C₂×#1055	C₂⁴	1	1	yes	characteristic
698	C₂×#1055	C₂⁴	1	1	yes	characteristic
699	Dic₅₂	—	4	1	no	—
700	D₁₀₄	—	4	1	no	—
701	#6095	—	4	1	no	—
702	#6095	—	4	1	no	—
703	C₈×D₁₃	—	4	1	no	—
704	C₈×D₁₃	—	4	1	no	—
705	C₈×D₁₃	—	4	1	no	—
706	C₈×D₁₃	—	4	1	no	—
707	#3514	—	13	1	no	—
708	#3482	—	13	1	no	—
709	#3394	—	13	1	no	—
710	#3393	—	13	1	no	—
711	#3365	—	13	1	no	—
712	#3364	—	13	1	no	—
713	#3300	—	13	1	no	—
714	#3300	—	13	1	no	—
715	#3298	—	13	1	no	—
716	#3296	—	13	1	no	—
717	#3296	—	13	1	no	—
718	#3294	—	13	1	no	—
719	D₄×Q₁₆	—	13	1	no	—
720	#3285	—	13	1	no	—
721	#3285	—	13	1	no	—
722	#3282	—	13	1	no	—
723	#3282	—	13	1	no	—
724	D₄×SD₁₆	—	13	1	no	—
725	#3250	—	13	1	no	—
726	#3250	—	13	1	no	—
727	#3248	—	13	1	no	—
728	#3211	—	13	1	no	—
729	#3211	—	13	1	no	—
730	#3210	—	13	1	no	—
731	#3108	—	13	1	no	—
732	#3108	—	13	1	no	—
733	#3102	—	13	1	no	—
734	#3035	—	13	1	no	—
735	C₂×#464	—	13	1	no	—
736	C₂×#464	D₁₃	1	1	yes	characteristic, complemented
737	#2988	—	13	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	2	1	no	—
740	C₂³×C₁₃	—	4	2	no	—
741	C₂³×C₁₃	—	8	1	no	—
742	C₂³×C₁₃	—	8	1	no	—
743	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
744	C₂²×D₁₃	—	2	1	no	—
745	C₂²×D₁₃	—	2	1	no	—
746	C₂²×D₁₃	—	4	2	no	—
747	C₂²×D₁₃	—	8	1	no	—
748	C₂²×D₁₃	—	8	1	no	—
749	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
750	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
751	Q₈×C₁₃	—	2	1	no	—
752	Q₈×C₁₃	—	2	1	no	—
753	Q₈×C₁₃	—	2	1	no	—
754	Q₈×C₁₃	—	2	1	no	—
755	Q₈×C₁₃	—	2	1	no	—
756	Q₈×C₁₃	—	2	1	no	—
757	Q₈×C₁₃	—	2	1	no	—
758	Q₈×C₁₃	—	4	2	no	—
759	Q₈×C₁₃	—	8	1	no	—
760	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
761	D₄×C₁₃	—	2	1	no	—
762	D₄×C₁₃	—	2	1	no	—
763	D₄×C₁₃	—	2	1	no	—
764	D₄×C₁₃	—	2	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	C₂×C₄×C₁₃	—	2	2	no	—
767	C₂×C₄×C₁₃	—	2	1	no	—
768	C₂×C₄×C₁₃	—	2	1	no	—
769	C₂×C₄×C₁₃	—	2	1	no	—
770	C₂×C₄×C₁₃	—	2	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	4	1	no	—
776	C₂×C₄×C₁₃	—	4	2	no	—
777	C₂×C₄×C₁₃	—	4	2	no	—
778	C₂×C₄×C₁₃	—	8	1	no	—
779	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
785	C₂²⋊D₁₃	—	2	2	no	—
786	C₂²⋊D₁₃	—	4	2	no	—
787	C₂²⋊D₁₃	—	4	2	no	—
788	C₂²⋊D₁₃	—	4	2	no	—
789	C₂²⋊D₁₃	—	4	2	no	—
790	C₂²⋊D₁₃	—	8	1	no	—
791	C₂²⋊D₁₃	—	8	1	no	—
792	C₂²⋊D₁₃	—	8	1	no	—
793	C₂²⋊D₁₃	—	8	1	no	—
794	C₂²⋊D₁₃	#135	1	4	yes	complemented
795	C₂×Dic₁₃	—	2	1	no	—
796	C₂×Dic₁₃	—	2	1	no	—
797	C₂×Dic₁₃	—	2	1	no	—
798	C₂×Dic₁₃	—	2	1	no	—
799	C₂×Dic₁₃	—	2	1	no	—
800	C₂×Dic₁₃	—	2	1	no	—
801	C₂×Dic₁₃	—	4	2	no	—
802	C₂×Dic₁₃	—	8	1	no	—
803	C₂×Dic₁₃	—	8	1	no	—
804	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
805	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
806	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
810	D₅₂	—	2	2	no	—
811	D₅₂	—	2	1	no	—
812	D₅₂	—	2	1	no	—
813	D₅₂	—	2	1	no	—
814	D₅₂	—	2	1	no	—
815	D₅₂	—	4	2	no	—
816	D₅₂	—	4	2	no	—
817	D₅₂	—	8	1	no	—
818	C₄×D₁₃	—	2	2	no	—
819	C₄×D₁₃	—	2	1	no	—
820	C₄×D₁₃	—	2	1	no	—
821	C₄×D₁₃	—	2	1	no	—
822	C₄×D₁₃	—	2	1	no	—
823	C₄×D₁₃	—	2	2	no	—
824	C₄×D₁₃	—	4	1	no	—
825	C₄×D₁₃	—	4	1	no	—
826	C₄×D₁₃	—	4	2	no	—
827	C₄×D₁₃	—	4	2	no	—
828	C₄×D₁₃	—	4	2	no	—
829	C₄×D₁₃	—	4	2	no	—
830	C₄×D₁₃	—	4	2	no	—
831	C₄×D₁₃	—	8	1	no	—
832	C₄×D₁₃	—	8	1	no	—
833	C₄×D₁₃	—	8	1	no	—
834	Dic₂₆	—	2	2	no	—
835	Dic₂₆	—	2	1	no	—
836	Dic₂₆	—	2	1	no	—
837	Dic₂₆	—	2	1	no	—
838	Dic₂₆	—	2	1	no	—
839	Dic₂₆	—	4	2	no	—
840	Dic₂₆	—	4	2	no	—
841	Dic₂₆	—	8	1	no	—
842	C₈×C₁₃	—	2	1	no	—
843	C₈×C₁₃	—	2	1	no	—
844	C₈×C₁₃	—	2	1	no	—
845	C₈×C₁₃	—	2	1	no	—
846	#1055	—	2	1	no	—
847	#1055	—	2	1	no	—
848	#1055	—	2	1	no	—
849	#1055	—	2	1	no	—
850	C₂×#135	—	13	1	no	—
851	C₂×#135	—	13	1	no	—
852	C₂²×Q₁₆	—	13	1	no	—
853	C₂²×Q₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
854	C₂²×SD₁₆	—	13	1	no	—
855	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic
856	#559	—	13	1	no	—
857	#557	—	13	1	no	—
858	#556	—	13	1	no	—
859	#556	—	13	1	no	—
860	#556	—	26	1	no	—
861	#555	—	26	1	no	—
862	#552	—	13	1	no	—
863	#552	—	13	1	no	—
864	#552	—	26	1	no	—
865	#552	—	26	1	no	—
866	#551	—	26	1	no	—
867	#551	—	26	1	no	—
868	D₄×Q₈	—	13	1	no	—
869	D₄×Q₈	—	13	1	no	—
870	#548	—	13	1	no	—
871	#548	—	13	1	no	—
872	#548	—	13	1	no	—
873	#548	—	13	1	no	—
874	#547	—	13	1	no	—
875	#547	—	26	1	no	—
876	#546	—	13	1	no	—
877	#546	—	13	1	no	—
878	#546	—	26	1	no	—
879	D₄²	—	13	1	no	—
880	#542	—	26	1	no	—
881	#538	—	26	1	no	—
882	#538	—	26	1	no	—
883	#533	—	13	1	no	—
884	#533	—	26	1	no	—
885	#532	—	13	1	no	—
886	#529	—	13	1	no	—
887	#529	—	13	1	no	—
888	#529	—	13	1	no	—
889	#529	—	13	1	no	—
890	#529	—	13	1	no	—
891	#529	—	26	1	no	—
892	#529	—	26	1	no	—
893	C₂×#124	—	13	1	no	—
894	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
895	#518	—	26	1	no	—
896	C₄×#41	—	13	1	no	—
897	C₄×#41	—	13	1	no	—
898	C₄×#41	—	26	1	no	—
899	C₂×C₄×Q₈	—	13	1	no	—
900	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
901	#495	—	13	1	no	—
902	#495	—	13	1	no	—
903	#495	—	13	1	no	—
904	#495	—	13	1	no	—
905	#494	—	13	1	no	—
906	#492	—	13	1	no	—
907	#488	—	13	1	no	—
908	#488	—	13	1	no	—
909	#488	—	13	1	no	—
910	#488	—	13	1	no	—
911	#487	—	13	1	no	—
912	#486	—	13	1	no	—
913	#485	—	13	1	no	—
914	#483	—	13	1	no	—
915	#483	—	13	1	no	—
916	#482	—	13	1	no	—
917	#480	—	13	1	no	—
918	#480	—	13	1	no	—
919	#479	—	13	1	no	—
920	#479	—	13	1	no	—
921	#479	—	13	1	no	—
922	#479	—	13	1	no	—
923	#479	—	13	1	no	—
924	#478	—	13	1	no	—
925	#478	—	13	1	no	—
926	#478	—	13	1	no	—
927	#475	—	13	1	no	—
928	#474	—	13	1	no	—
929	#467	—	13	1	no	—
930	#467	—	13	1	no	—
931	#467	—	13	1	no	—
932	#467	—	13	1	no	—
933	#466	—	13	1	no	—
934	#466	—	13	1	no	—
935	#465	—	13	1	no	—
936	#465	—	13	1	no	—
937	#465	—	13	1	no	—
938	#465	—	13	1	no	—
939	#465	—	13	1	no	—
940	#465	—	13	1	no	—
941	#464	—	13	1	no	—
942	#464	—	13	1	no	—
943	#464	—	13	1	no	—
944	#464	—	13	1	no	—
945	#464	—	13	1	no	—
946	#464	—	13	1	no	—
947	#464	—	13	1	no	—
948	#464	—	13	1	no	—
949	#464	—	13	1	no	—
950	#464	—	13	1	no	—
951	#464	—	13	1	no	—
952	#464	C₂×D₁₃	1	1	yes	characteristic
953	#464	C₂×D₁₃	1	1	yes	characteristic
954	#464	C₂×D₁₃	1	1	yes	characteristic
955	#464	C₂×D₁₃	1	1	yes	characteristic
956	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
958	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
959	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
960	#463	—	13	1	no	—
961	#463	—	13	1	no	—
962	#463	—	13	1	no	—
963	#463	—	13	1	no	—
964	#463	—	13	1	no	—
965	#462	—	13	1	no	—
966	#462	—	13	1	no	—
967	#461	—	13	1	no	—
968	#461	—	13	1	no	—
969	#460	—	13	1	no	—
970	#459	—	13	1	no	—
971	#452	—	13	1	no	—
972	#452	—	13	1	no	—
973	#452	—	13	1	no	—
974	#452	—	13	1	no	—
975	#452	—	13	1	no	—
976	#451	—	13	1	no	—
977	#451	—	13	1	no	—
978	#451	—	13	1	no	—
979	#451	—	13	1	no	—
980	#450	—	13	1	no	—
981	#450	—	13	1	no	—
982	#449	—	13	1	no	—
983	#448	—	13	1	no	—
984	#448	—	13	1	no	—
985	#448	—	13	1	no	—
986	#448	—	13	1	no	—
987	#447	—	13	1	no	—
988	#447	—	13	1	no	—
989	C₈×Q₈	—	13	1	no	—
990	C₈×Q₈	—	13	1	no	—
991	C₄×Q₁₆	—	13	1	no	—
992	C₄×Q₁₆	—	13	1	no	—
993	C₄×Q₁₆	—	13	1	no	—
994	C₄×Q₁₆	—	13	1	no	—
995	C₄×Q₁₆	—	13	1	no	—
996	C₄×SD₁₆	—	13	1	no	—
997	C₄×SD₁₆	—	13	1	no	—
998	C₄×SD₁₆	—	13	1	no	—
999	C₄×SD₁₆	—	13	1	no	—
1000	C₄×SD₁₆	—	13	1	no	—
1001	C₄×SD₁₆	—	13	1	no	—
1002	C₄×D₈	—	13	1	no	—
1003	C₈×D₄	—	13	1	no	—
1004	C₈×D₄	—	13	1	no	—
1005	C₈×D₄	—	13	1	no	—
1006	C₈×D₄	—	13	1	no	—
1007	C₈×D₄	—	13	1	no	—
1008	C₈×D₄	—	13	1	no	—
1009	#431	—	13	1	no	—
1010	#431	—	13	1	no	—
1011	#431	—	13	1	no	—
1012	C₂×C₄⋊C₈	—	13	1	no	—
1013	C₂×C₄⋊C₈	—	13	1	no	—
1014	C₂×C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#416	—	13	1	no	—
1016	#416	—	13	1	no	—
1017	C₂×#103	—	13	1	no	—
1018	C₂×#103	C₂×D₁₃	1	1	yes	characteristic, complemented
1019	C₂×#102	—	13	1	no	—
1020	C₂×#102	C₂×D₁₃	1	1	yes	characteristic
1021	C₂²×C₁₃	—	2	1	no	—
1022	C₂²×C₁₃	—	2	1	no	—
1023	C₂²×C₁₃	—	4	1	no	—
1024	C₂²×C₁₃	—	4	1	no	—
1025	C₂²×C₁₃	—	4	1	no	—
1026	C₂²×C₁₃	—	4	1	no	—
1027	C₂²×C₁₃	—	4	1	no	—
1028	C₂²×C₁₃	—	4	1	no	—
1029	C₂²×C₁₃	—	16	2	no	—
1030	C₂²×C₁₃	C₂×#135	1	2	yes	—
1031	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1032	C₂×D₁₃	—	2	1	no	—
1033	C₂×D₁₃	—	2	1	no	—
1034	C₂×D₁₃	—	2	1	no	—
1035	C₂×D₁₃	—	2	1	no	—
1036	C₂×D₁₃	—	2	1	no	—
1037	C₂×D₁₃	—	4	1	no	—
1038	C₂×D₁₃	—	4	1	no	—
1039	C₂×D₁₃	—	4	1	no	—
1040	C₂×D₁₃	—	4	1	no	—
1041	C₂×D₁₃	—	4	1	no	—
1042	C₂×D₁₃	—	4	1	no	—
1043	C₂×D₁₃	—	16	2	no	—
1044	C₂×D₁₃	C₂×#135	1	2	yes	—
1045	C₄×C₁₃	—	2	1	no	—
1046	C₄×C₁₃	—	2	1	no	—
1047	C₄×C₁₃	—	2	2	no	—
1048	C₄×C₁₃	—	2	1	no	—
1049	C₄×C₁₃	—	2	1	no	—
1050	C₄×C₁₃	—	2	1	no	—
1051	C₄×C₁₃	—	4	1	no	—
1052	C₄×C₁₃	—	4	1	no	—
1053	C₄×C₁₃	—	4	1	no	—
1054	C₄×C₁₃	—	4	1	no	—
1055	C₄×C₁₃	—	4	1	no	—
1056	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1057	C₄×C₁₃	#585	1	1	yes	characteristic
1058	Dic₁₃	—	2	1	no	—
1059	Dic₁₃	—	2	1	no	—
1060	Dic₁₃	—	2	1	no	—
1061	Dic₁₃	—	2	1	no	—
1062	Dic₁₃	—	2	1	no	—
1063	Dic₁₃	—	4	1	no	—
1064	Dic₁₃	—	4	1	no	—
1065	Dic₁₃	—	4	1	no	—
1066	Dic₁₃	—	4	1	no	—
1067	Dic₁₃	—	4	1	no	—
1068	Dic₁₃	—	4	1	no	—
1069	Dic₁₃	C₂×#135	1	2	yes	—
1070	C₂×#41	—	13	1	no	—
1071	C₂×#41	—	13	1	no	—
1072	C₂×#41	—	13	1	no	—
1073	C₂×#41	—	13	1	no	—
1074	C₂×#41	—	26	1	no	—
1075	C₂²×Q₈	—	13	1	no	—
1076	C₂²×Q₈	—	13	1	no	—
1077	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1078	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1079	C₂²×D₄	—	13	1	no	—
1080	C₂²×D₄	—	26	1	no	—
1081	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1082	#135	—	52	2	no	—
1083	#135	—	52	2	no	—
1084	C₂×Q₁₆	—	4	2	no	—
1085	C₂×Q₁₆	—	13	1	no	—
1086	C₂×Q₁₆	—	13	1	no	—
1087	C₂×Q₁₆	—	13	1	no	—
1088	C₂×Q₁₆	—	13	1	no	—
1089	C₂×Q₁₆	—	13	1	no	—
1090	C₂×Q₁₆	—	52	2	no	—
1091	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1092	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1093	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1094	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1095	C₂×SD₁₆	—	4	2	no	—
1096	C₂×SD₁₆	—	13	1	no	—
1097	C₂×SD₁₆	—	13	1	no	—
1098	C₂×SD₁₆	—	13	1	no	—
1099	C₂×SD₁₆	—	13	1	no	—
1100	C₂×SD₁₆	—	13	1	no	—
1101	C₂×SD₁₆	—	13	1	no	—
1102	C₂×SD₁₆	—	13	1	no	—
1103	C₂×SD₁₆	—	13	1	no	—
1104	C₂×SD₁₆	—	52	2	no	—
1105	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1106	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1107	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1108	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1109	C₂×D₈	—	13	1	no	—
1110	C₂×D₈	—	13	1	no	—
1111	C₂×D₈	—	13	1	no	—
1112	C₂²×C₈	—	13	1	no	—
1113	C₂²×C₈	—	13	1	no	—
1114	C₂²×C₈	—	13	1	no	—
1115	C₂²×C₈	—	13	1	no	—
1116	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1117	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1118	C₄⋊Q₈	—	13	1	no	—
1119	C₄⋊Q₈	—	13	1	no	—
1120	C₄⋊Q₈	—	13	1	no	—
1121	C₄⋊Q₈	—	26	1	no	—
1122	C₄⋊Q₈	—	26	1	no	—
1123	C₄⋊Q₈	—	26	1	no	—
1124	#127	—	13	1	no	—
1125	#126	—	26	1	no	—
1126	#126	—	26	1	no	—
1127	#126	—	26	1	no	—
1128	#126	—	26	1	no	—
1129	#126	—	26	1	no	—
1130	#126	—	26	1	no	—
1131	#126	—	26	1	no	—
1132	#126	—	26	1	no	—
1133	#126	—	26	1	no	—
1134	#126	—	26	1	no	—
1135	#126	—	26	1	no	—
1136	#125	—	13	1	no	—
1137	#125	—	13	1	no	—
1138	#125	—	13	1	no	—
1139	#125	—	26	1	no	—
1140	#125	—	26	1	no	—
1141	#125	—	26	1	no	—
1142	#125	—	26	1	no	—
1143	#125	—	26	1	no	—
1144	#124	—	2	1	no	—
1145	#124	—	2	1	no	—
1146	#124	—	13	1	no	—
1147	#124	—	13	1	no	—
1148	#124	—	13	1	no	—
1149	#124	—	13	1	no	—
1150	#124	—	13	1	no	—
1151	#124	—	26	1	no	—
1152	#124	—	26	1	no	—
1153	#124	—	26	1	no	—
1154	#124	—	26	1	no	—
1155	#124	—	26	1	no	—
1156	#124	—	26	1	no	—
1157	#124	—	26	1	no	—
1158	#124	C₂²×D₁₃	1	1	yes	characteristic
1159	#124	C₂²×D₁₃	1	1	yes	characteristic
1160	#124	C₂²×D₁₃	1	1	yes	characteristic
1161	#124	C₂²×D₁₃	1	1	yes	characteristic
1162	#123	—	26	1	no	—
1163	#123	—	26	1	no	—
1164	#123	—	26	1	no	—
1165	#123	—	26	1	no	—
1166	#123	—	26	1	no	—
1167	#123	—	26	1	no	—
1168	#123	—	26	1	no	—
1169	#123	—	26	1	no	—
1170	#123	—	26	1	no	—
1171	#123	—	26	1	no	—
1172	#123	—	26	1	no	—
1173	#123	—	26	1	no	—
1174	#123	—	26	1	no	—
1175	C₂²⋊Q₈	—	13	1	no	—
1176	C₂²⋊Q₈	—	13	1	no	—
1177	C₂²⋊Q₈	—	13	1	no	—
1178	C₂²⋊Q₈	—	13	1	no	—
1179	C₂²⋊Q₈	—	13	1	no	—
1180	C₂²⋊Q₈	—	13	1	no	—
1181	C₂²⋊Q₈	—	13	1	no	—
1182	C₂²⋊Q₈	—	26	1	no	—
1183	C₂²⋊Q₈	—	26	1	no	—
1184	C₂²⋊Q₈	—	26	1	no	—
1185	C₂²⋊Q₈	—	26	1	no	—
1186	C₂²⋊Q₈	—	26	1	no	—
1187	C₂²⋊Q₈	—	26	1	no	—
1188	C₂²⋊Q₈	—	26	1	no	—
1189	C₂²⋊Q₈	—	26	1	no	—
1190	C₂²⋊Q₈	—	26	1	no	—
1191	C₂²⋊Q₈	—	26	1	no	—
1192	C₂²⋊Q₈	—	26	1	no	—
1193	C₂²⋊Q₈	—	26	1	no	—
1194	#121	—	13	1	no	—
1195	#121	—	13	1	no	—
1196	#121	—	13	1	no	—
1197	#121	—	13	1	no	—
1198	#121	—	13	1	no	—
1199	#121	—	26	1	no	—
1200	#121	—	26	1	no	—
1201	#121	—	26	1	no	—
1202	#121	—	26	1	no	—
1203	#121	—	26	1	no	—
1204	#121	—	26	1	no	—
1205	#121	—	26	1	no	—
1206	#121	—	26	1	no	—
1207	#121	—	26	1	no	—
1208	#120	—	26	1	no	—
1209	#120	—	26	1	no	—
1210	#120	—	26	1	no	—
1211	#120	—	26	1	no	—
1212	C₄×Q₈	—	2	1	no	—
1213	C₄×Q₈	—	2	1	no	—
1214	C₄×Q₈	—	13	1	no	—
1215	C₄×Q₈	—	13	1	no	—
1216	C₄×Q₈	—	13	1	no	—
1217	C₄×Q₈	—	13	1	no	—
1218	C₄×Q₈	—	13	1	no	—
1219	C₄×Q₈	—	13	1	no	—
1220	C₄×Q₈	—	13	1	no	—
1221	C₄×Q₈	—	13	1	no	—
1222	C₄×Q₈	—	13	1	no	—
1223	C₄×Q₈	—	26	1	no	—
1224	C₄×Q₈	—	26	1	no	—
1225	C₄×Q₈	—	26	1	no	—
1226	C₄×Q₈	—	26	1	no	—
1227	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1228	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1229	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1231	C₄×D₄	—	13	1	no	—
1232	C₄×D₄	—	13	1	no	—
1233	C₄×D₄	—	13	1	no	—
1234	C₄×D₄	—	13	1	no	—
1235	C₄×D₄	—	13	1	no	—
1236	C₄×D₄	—	13	1	no	—
1237	C₄×D₄	—	13	1	no	—
1238	C₄×D₄	—	13	1	no	—
1239	C₄×D₄	—	13	1	no	—
1240	C₄×D₄	—	13	1	no	—
1241	C₄×D₄	—	13	1	no	—
1242	C₄×D₄	—	26	1	no	—
1243	C₄×D₄	—	26	1	no	—
1244	C₄×D₄	—	26	1	no	—
1245	C₄×D₄	—	26	1	no	—
1246	C₄×D₄	—	26	1	no	—
1247	C₄×D₄	—	26	1	no	—
1248	C₄×D₄	—	26	1	no	—
1249	C₄×D₄	—	26	1	no	—
1250	C₄×D₄	—	26	1	no	—
1251	C₄×D₄	—	26	1	no	—
1252	C₄×D₄	—	26	1	no	—
1253	C₄×D₄	—	26	1	no	—
1254	C₄×D₄	—	26	1	no	—
1255	C₄×D₄	—	26	1	no	—
1256	C₄×D₄	—	26	1	no	—
1257	C₄×D₄	—	26	1	no	—
1258	#117	—	13	1	no	—
1259	#117	—	13	1	no	—
1260	#117	—	13	1	no	—
1261	#117	—	13	1	no	—
1262	#117	—	26	1	no	—
1263	#117	—	26	1	no	—
1264	#117	—	26	1	no	—
1265	#117	—	26	1	no	—
1266	#117	—	26	1	no	—
1267	#117	—	26	1	no	—
1268	#117	—	26	1	no	—
1269	#117	—	26	1	no	—
1270	#117	—	26	1	no	—
1271	#117	—	26	1	no	—
1272	#117	—	26	1	no	—
1273	C₂×C₄⋊C₄	—	2	1	no	—
1274	C₂×C₄⋊C₄	—	13	1	no	—
1275	C₂×C₄⋊C₄	—	26	1	no	—
1276	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1277	C₂×C₂²⋊C₄	—	2	1	no	—
1278	C₂×C₂²⋊C₄	—	2	1	no	—
1279	C₂×C₂²⋊C₄	—	26	1	no	—
1280	C₂×C₂²⋊C₄	—	26	1	no	—
1281	C₂×C₂²⋊C₄	—	26	1	no	—
1282	C₂×C₂²⋊C₄	—	26	1	no	—
1283	C₂×C₄²	—	2	1	no	—
1284	C₂×C₄²	—	13	1	no	—
1285	C₂×C₄²	—	13	1	no	—
1286	C₂×C₄²	—	26	1	no	—
1287	C₂×C₄²	—	26	1	no	—
1288	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1289	#107	—	13	1	no	—
1290	#107	—	13	1	no	—
1291	#107	—	13	1	no	—
1292	#107	—	13	1	no	—
1293	#106	—	13	1	no	—
1294	#106	—	13	1	no	—
1295	#106	—	13	1	no	—
1296	#106	—	13	1	no	—
1297	C₄⋊C₈	—	13	1	no	—
1298	C₄⋊C₈	—	13	1	no	—
1299	C₄⋊C₈	—	13	1	no	—
1300	C₄⋊C₈	—	13	1	no	—
1301	C₄⋊C₈	—	13	1	no	—
1302	C₄⋊C₈	—	13	1	no	—
1303	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1304	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1305	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1306	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1307	#103	—	13	1	no	—
1308	#103	—	13	1	no	—
1309	#103	—	13	1	no	—
1310	#103	—	13	1	no	—
1311	#103	—	13	1	no	—
1312	#103	—	13	1	no	—
1313	#103	—	13	1	no	—
1314	#103	—	13	1	no	—
1315	#103	—	13	1	no	—
1316	#103	—	13	1	no	—
1317	#103	—	13	1	no	—
1318	#103	—	13	1	no	—
1319	#103	—	13	1	no	—
1320	#103	—	13	1	no	—
1321	#103	C₂²×D₁₃	1	1	yes	characteristic
1322	#103	C₂²×D₁₃	1	1	yes	characteristic
1323	#103	C₂²×D₁₃	1	1	yes	characteristic
1324	#103	C₂²×D₁₃	1	1	yes	characteristic
1325	#102	—	13	1	no	—
1326	#102	—	13	1	no	—
1327	#102	—	13	1	no	—
1328	#102	—	13	1	no	—
1329	#102	—	13	1	no	—
1330	#102	—	13	1	no	—
1331	#102	—	13	1	no	—
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
1335	#102	C₂²×D₁₃	1	1	yes	characteristic
1336	#102	C₂²×D₁₃	1	1	yes	characteristic
1337	#102	C₂²×D₁₃	1	1	yes	characteristic
1338	#102	C₂²×D₁₃	1	1	yes	characteristic
1339	C₂²⋊C₈	—	13	1	no	—
1340	C₂²⋊C₈	—	13	1	no	—
1341	C₂²⋊C₈	—	13	1	no	—
1342	C₂²⋊C₈	—	13	1	no	—
1343	C₂²⋊C₈	—	13	1	no	—
1344	C₂²⋊C₈	—	13	1	no	—
1345	C₄×C₈	—	13	1	no	—
1346	C₄×C₈	—	13	1	no	—
1347	C₄×C₈	—	13	1	no	—
1348	C₄×C₈	—	13	1	no	—
1349	C₄×C₈	—	13	1	no	—
1350	C₄×C₈	—	13	1	no	—
1351	C₂×C₁₃	—	2	2	no	—
1352	C₂×C₁₃	—	8	1	no	—
1353	C₂×C₁₃	—	8	1	no	—
1354	C₂×C₁₃	#3488	1	1	yes	characteristic
1355	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1356	C₂×C₁₃	#3586	1	1	yes	characteristic
1357	D₁₃	—	2	2	no	—
1358	D₁₃	—	4	1	no	—
1359	D₁₃	—	8	1	no	—
1360	D₁₃	—	8	1	no	—
1361	C₂⁴	—	2	1	no	—
1362	C₂⁴	—	26	1	no	—
1363	#41	—	26	4	no	—
1364	#41	—	26	2	no	—
1365	#41	—	52	4	no	—
1366	#41	—	52	1	no	—
1367	#41	—	52	1	no	—
1368	#41	—	52	1	no	—
1369	#41	—	52	1	no	—
1370	#41	—	52	1	no	—
1371	C₂×Q₈	—	2	1	no	—
1372	C₂×Q₈	—	2	1	no	—
1373	C₂×Q₈	—	2	2	no	—
1374	C₂×Q₈	—	4	1	no	—
1375	C₂×Q₈	—	4	1	no	—
1376	C₂×Q₈	—	4	1	no	—
1377	C₂×Q₈	—	13	1	no	—
1378	C₂×Q₈	—	13	1	no	—
1379	C₂×Q₈	—	13	1	no	—
1380	C₂×Q₈	—	26	1	no	—
1381	C₂×Q₈	—	26	1	no	—
1382	C₂×Q₈	—	26	1	no	—
1383	C₂×Q₈	—	26	2	no	—
1384	C₂×Q₈	—	52	1	no	—
1385	C₂×Q₈	—	52	1	no	—
1386	C₂×Q₈	—	52	1	no	—
1387	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1388	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1389	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1390	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1391	C₂×D₄	—	2	1	no	—
1392	C₂×D₄	—	4	1	no	—
1393	C₂×D₄	—	4	1	no	—
1394	C₂×D₄	—	13	1	no	—
1395	C₂×D₄	—	13	1	no	—
1396	C₂×D₄	—	13	1	no	—
1397	C₂×D₄	—	13	1	no	—
1398	C₂×D₄	—	13	1	no	—
1399	C₂×D₄	—	26	1	no	—
1400	C₂×D₄	—	26	1	no	—
1401	C₂×D₄	—	26	1	no	—
1402	C₂×D₄	—	26	1	no	—
1403	C₂×D₄	—	26	1	no	—
1404	C₂×D₄	—	26	1	no	—
1405	C₂×D₄	—	26	1	no	—
1406	C₂×D₄	—	26	1	no	—
1407	C₂×D₄	—	26	1	no	—
1408	C₂×D₄	—	26	1	no	—
1409	C₂×D₄	—	26	1	no	—
1410	C₂×D₄	—	52	1	no	—
1411	C₂×D₄	—	52	1	no	—
1412	C₂×D₄	—	52	4	no	—
1413	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1414	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1415	C₂²×C₄	—	2	1	no	—
1416	C₂²×C₄	—	2	1	no	—
1417	C₂²×C₄	—	2	1	no	—
1418	C₂²×C₄	—	13	1	no	—
1419	C₂²×C₄	—	13	1	no	—
1420	C₂²×C₄	—	13	1	no	—
1421	C₂²×C₄	—	13	1	no	—
1422	C₂²×C₄	—	13	1	no	—
1423	C₂²×C₄	—	13	1	no	—
1424	C₂²×C₄	—	26	1	no	—
1425	C₂²×C₄	—	26	1	no	—
1426	C₂²×C₄	—	26	1	no	—
1427	C₂²×C₄	—	26	1	no	—
1428	C₂²×C₄	—	26	1	no	—
1429	C₂²×C₄	—	26	1	no	—
1430	C₂²×C₄	—	26	1	no	—
1431	C₂²×C₄	—	26	1	no	—
1432	C₂²×C₄	—	26	1	no	—
1433	C₂²×C₄	—	26	1	no	—
1434	C₂²×C₄	—	26	1	no	—
1435	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1436	C₂²×C₄	D₄×D₁₃	1	1	yes	characteristic
1437	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1438	Q₁₆	—	2	2	no	—
1439	Q₁₆	—	2	2	no	—
1440	Q₁₆	—	4	1	no	—
1441	Q₁₆	—	4	1	no	—
1442	Q₁₆	—	26	2	no	—
1443	Q₁₆	—	52	1	no	—
1444	Q₁₆	—	52	1	no	—
1445	Q₁₆	—	52	1	no	—
1446	Q₁₆	—	52	1	no	—
1447	SD₁₆	—	2	2	no	—
1448	SD₁₆	—	2	2	no	—
1449	SD₁₆	—	4	1	no	—
1450	SD₁₆	—	4	1	no	—
1451	SD₁₆	—	26	2	no	—
1452	SD₁₆	—	52	1	no	—
1453	SD₁₆	—	52	1	no	—
1454	SD₁₆	—	52	1	no	—
1455	SD₁₆	—	52	1	no	—
1456	SD₁₆	—	52	1	no	—
1457	SD₁₆	—	52	1	no	—
1458	SD₁₆	—	52	1	no	—
1459	D₈	—	52	1	no	—
1460	D₈	—	52	1	no	—
1461	D₈	—	52	1	no	—
1462	C₂×C₈	—	4	1	no	—
1463	C₂×C₈	—	4	1	no	—
1464	C₂×C₈	—	13	1	no	—
1465	C₂×C₈	—	13	1	no	—
1466	C₂×C₈	—	13	1	no	—
1467	C₂×C₈	—	13	1	no	—
1468	C₂×C₈	—	52	1	no	—
1469	C₂×C₈	—	52	1	no	—
1470	C₂×C₈	—	52	1	no	—
1471	C₂×C₈	—	52	1	no	—
1472	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1473	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1474	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1475	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	13	1	no	—
1482	C₄⋊C₄	—	13	1	no	—
1483	C₄⋊C₄	—	13	1	no	—
1484	C₄⋊C₄	—	13	1	no	—
1485	C₄⋊C₄	—	13	1	no	—
1486	C₄⋊C₄	—	13	1	no	—
1487	C₄⋊C₄	—	13	1	no	—
1488	C₄⋊C₄	—	13	1	no	—
1489	C₄⋊C₄	—	13	1	no	—
1490	C₄⋊C₄	—	13	1	no	—
1491	C₄⋊C₄	—	26	1	no	—
1492	C₄⋊C₄	—	26	1	no	—
1493	C₄⋊C₄	—	26	1	no	—
1494	C₄⋊C₄	—	26	1	no	—
1495	C₄⋊C₄	—	26	1	no	—
1496	C₄⋊C₄	—	26	1	no	—
1497	C₄⋊C₄	—	26	1	no	—
1498	C₄⋊C₄	—	26	1	no	—
1499	C₄⋊C₄	—	26	1	no	—
1500	C₄⋊C₄	—	26	1	no	—
1501	C₄⋊C₄	—	26	1	no	—
1502	C₄⋊C₄	—	26	1	no	—
1503	C₄⋊C₄	—	26	1	no	—
1504	C₄⋊C₄	—	26	1	no	—
1505	C₄⋊C₄	—	26	1	no	—
1506	C₄⋊C₄	—	26	1	no	—
1507	C₄⋊C₄	—	26	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1518	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	2	1	no	—
1527	C₂²⋊C₄	—	13	1	no	—
1528	C₂²⋊C₄	—	13	1	no	—
1529	C₂²⋊C₄	—	13	1	no	—
1530	C₂²⋊C₄	—	13	1	no	—
1531	C₂²⋊C₄	—	13	1	no	—
1532	C₂²⋊C₄	—	13	1	no	—
1533	C₂²⋊C₄	—	26	1	no	—
1534	C₂²⋊C₄	—	26	1	no	—
1535	C₂²⋊C₄	—	26	1	no	—
1536	C₂²⋊C₄	—	26	1	no	—
1537	C₂²⋊C₄	—	26	1	no	—
1538	C₂²⋊C₄	—	26	1	no	—
1539	C₂²⋊C₄	—	26	1	no	—
1540	C₂²⋊C₄	—	26	1	no	—
1541	C₂²⋊C₄	—	26	1	no	—
1542	C₂²⋊C₄	—	26	1	no	—
1543	C₂²⋊C₄	—	26	1	no	—
1544	C₂²⋊C₄	—	26	1	no	—
1545	C₂²⋊C₄	—	26	1	no	—
1546	C₂²⋊C₄	—	26	1	no	—
1547	C₂²⋊C₄	—	26	1	no	—
1548	C₂²⋊C₄	—	26	1	no	—
1549	C₂²⋊C₄	—	26	1	no	—
1550	C₂²⋊C₄	—	26	1	no	—
1551	C₂²⋊C₄	—	26	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₄²	—	2	1	no	—
1562	C₄²	—	2	1	no	—
1563	C₄²	—	2	1	no	—
1564	C₄²	—	2	1	no	—
1565	C₄²	—	13	1	no	—
1566	C₄²	—	13	1	no	—
1567	C₄²	—	13	1	no	—
1568	C₄²	—	13	1	no	—
1569	C₄²	—	13	1	no	—
1570	C₄²	—	13	1	no	—
1571	C₄²	—	26	1	no	—
1572	C₄²	—	26	1	no	—
1573	C₄²	—	26	1	no	—
1574	C₄²	—	26	1	no	—
1575	C₄²	—	26	1	no	—
1576	C₄²	—	26	1	no	—
1577	C₄²	—	26	1	no	—
1578	C₄²	—	26	1	no	—
1579	C₄²	D₄×D₁₃	1	1	yes	characteristic
1580	C₄²	D₄×D₁₃	1	1	yes	characteristic
1581	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1582	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1583	C₁₃	#61956	1	1	yes	characteristic, complemented, Sylow
1584	C₂³	—	2	1	no	—
1585	C₂³	—	2	1	no	—
1586	C₂³	—	4	2	no	—
1587	C₂³	—	8	1	no	—
1588	C₂³	—	8	1	no	—
1589	C₂³	—	13	1	no	—
1590	C₂³	—	13	1	no	—
1591	C₂³	—	26	1	no	—
1592	C₂³	—	26	1	no	—
1593	C₂³	—	52	2	no	—
1594	C₂³	—	104	1	no	—
1595	C₂³	—	104	1	no	—
1596	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1597	Q₈	—	2	1	no	—
1598	Q₈	—	2	1	no	—
1599	Q₈	—	2	1	no	—
1600	Q₈	—	2	1	no	—
1601	Q₈	—	2	1	no	—
1602	Q₈	—	2	1	no	—
1603	Q₈	—	2	1	no	—
1604	Q₈	—	4	2	no	—
1605	Q₈	—	8	1	no	—
1606	Q₈	—	26	2	no	—
1607	Q₈	—	26	1	no	—
1608	Q₈	—	26	1	no	—
1609	Q₈	—	26	1	no	—
1610	Q₈	—	26	1	no	—
1611	Q₈	—	52	2	no	—
1612	Q₈	—	52	2	no	—
1613	Q₈	—	104	1	no	—
1614	Q₈	#88251	1	2	yes	—
1615	D₄	—	2	1	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	2	1	no	—
1619	D₄	—	8	1	no	—
1620	D₄	—	13	4	no	—
1621	D₄	—	26	2	no	—
1622	D₄	—	26	2	no	—
1623	D₄	—	26	1	no	—
1624	D₄	—	26	1	no	—
1625	D₄	—	26	1	no	—
1626	D₄	—	26	1	no	—
1627	D₄	—	52	2	no	—
1628	D₄	—	52	2	no	—
1629	D₄	—	52	2	no	—
1630	D₄	—	52	2	no	—
1631	D₄	—	52	2	no	—
1632	D₄	—	52	2	no	—
1633	D₄	—	104	1	no	—
1634	D₄	—	104	1	no	—
1635	D₄	—	104	1	no	—
1636	D₄	—	104	1	no	—
1637	D₄	—	104	1	no	—
1638	C₂×C₄	—	2	2	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	2	1	no	—
1646	C₂×C₄	—	2	1	no	—
1647	C₂×C₄	—	4	1	no	—
1648	C₂×C₄	—	4	2	no	—
1649	C₂×C₄	—	4	2	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	13	1	no	—
1652	C₂×C₄	—	13	1	no	—
1653	C₂×C₄	—	13	1	no	—
1654	C₂×C₄	—	13	1	no	—
1655	C₂×C₄	—	13	1	no	—
1656	C₂×C₄	—	13	1	no	—
1657	C₂×C₄	—	26	2	no	—
1658	C₂×C₄	—	26	2	no	—
1659	C₂×C₄	—	26	1	no	—
1660	C₂×C₄	—	26	1	no	—
1661	C₂×C₄	—	26	1	no	—
1662	C₂×C₄	—	26	1	no	—
1663	C₂×C₄	—	26	1	no	—
1664	C₂×C₄	—	26	1	no	—
1665	C₂×C₄	—	26	1	no	—
1666	C₂×C₄	—	26	1	no	—
1667	C₂×C₄	—	26	1	no	—
1668	C₂×C₄	—	26	1	no	—
1669	C₂×C₄	—	52	1	no	—
1670	C₂×C₄	—	52	1	no	—
1671	C₂×C₄	—	52	2	no	—
1672	C₂×C₄	—	52	2	no	—
1673	C₂×C₄	—	52	2	no	—
1674	C₂×C₄	—	52	2	no	—
1675	C₂×C₄	—	52	2	no	—
1676	C₂×C₄	—	52	2	no	—
1677	C₂×C₄	—	104	1	no	—
1678	C₂×C₄	—	104	1	no	—
1679	C₂×C₄	—	104	1	no	—
1680	C₂×C₄	—	104	1	no	—
1681	C₂×C₄	—	104	1	no	—
1682	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1683	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1684	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1685	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1686	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1687	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	2	1	no	—
1691	C₈	—	2	1	no	—
1692	C₈	—	26	1	no	—
1693	C₈	—	26	1	no	—
1694	C₈	—	26	1	no	—
1695	C₈	—	26	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	13	2	no	—
1705	C₂²	—	16	2	no	—
1706	C₂²	—	26	1	no	—
1707	C₂²	—	26	1	no	—
1708	C₂²	—	26	1	no	—
1709	C₂²	—	26	1	no	—
1710	C₂²	—	26	1	no	—
1711	C₂²	—	52	1	no	—
1712	C₂²	—	52	1	no	—
1713	C₂²	—	52	1	no	—
1714	C₂²	—	52	1	no	—
1715	C₂²	—	52	1	no	—
1716	C₂²	—	52	1	no	—
1717	C₂²	—	208	2	no	—
1718	C₂²	D₁₃×#135	1	2	yes	—
1719	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1720	C₄	—	2	1	no	—
1721	C₄	—	2	2	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	2	1	no	—
1724	C₄	—	2	1	no	—
1725	C₄	—	2	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	4	1	no	—
1730	C₄	—	4	1	no	—
1731	C₄	—	13	2	no	—
1732	C₄	—	26	1	no	—
1733	C₄	—	26	1	no	—
1734	C₄	—	26	1	no	—
1735	C₄	—	26	1	no	—
1736	C₄	—	26	1	no	—
1737	C₄	—	52	1	no	—
1738	C₄	—	52	1	no	—
1739	C₄	—	52	1	no	—
1740	C₄	—	52	1	no	—
1741	C₄	—	52	1	no	—
1742	C₄	—	52	1	no	—
1743	C₄	C₂×#88251	1	1	yes	characteristic
1744	C₄	#11719648	1	1	yes	characteristic
1745	C₂	—	2	2	no	—
1746	C₂	—	8	1	no	—
1747	C₂	—	8	1	no	—
1748	C₂	—	26	2	no	—
1749	C₂	—	52	1	no	—
1750	C₂	—	104	1	no	—
1751	C₂	—	104	1	no	—
1752	C₂	#13128501	1	1	yes	characteristic
1753	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1754	C₂	#13129619	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₂×C₁₃×#464	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	C₂×#464	D₁₃
hypocenter	C₁₃	#61956
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#464

Complements

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

N	H ≅ G/N	type
1. #13128791	C₂	semidirect
2. #13128453	C₂	semidirect
3. #13127827	C₂	semidirect
4. #13127819	C₂	semidirect
5. #13127527	C₂	semidirect
6. #13127516	C₂	semidirect
7. #13126730	C₂	semidirect
8. #13126719	C₂	semidirect
9. #13126697	C₂	semidirect
10. #13126678	C₂	semidirect
11. #13126667	C₂	semidirect
12. #13126645	C₂	semidirect
13. Q₁₆×C₂²⋊D₁₃	C₂	semidirect
14. #13126577	C₂	semidirect
15. #13126572	C₂	semidirect
16. #13126543	C₂	semidirect
17. #13126538	C₂	semidirect
18. SD₁₆×C₂²⋊D₁₃	C₂	semidirect
19. #13126188	C₂	semidirect
20. #13126186	C₂	semidirect
21. #13126170	C₂	semidirect
22. #13125805	C₂	semidirect
23. #13125801	C₂	semidirect
24. #13125791	C₂	semidirect
25. #13124916	C₂	semidirect
26. #13124915	C₂	semidirect
27. #13124853	C₂	semidirect
28. #13124290	C₂	semidirect
29. D₁₃×#464	C₂	semidirect
30. #13123945	C₂	semidirect
31. C₂×C₁₃×#464	C₂	semidirect
32. C₂²×C₁₃×Q₁₆	C₂²	semidirect
35. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
37. #11719522	C₂²	semidirect
42. C₂×#88173	C₂²	semidirect
43. C₂×Q₁₆×D₁₃	C₂²	semidirect
44. C₂×#88170	C₂²	semidirect
59. #11719286	C₂²	semidirect
61. #11719285	C₂²	semidirect
63. #11719283	C₂²	semidirect
64. #11719281	C₂²	semidirect
65. C₄×#6131	C₂²	semidirect
66. C₄×Q₈×D₁₃	C₂²	semidirect
67. #11719274	C₂²	semidirect
69. #11719273	C₂²	semidirect
71. #11719218	C₂²	semidirect
80. #11719184	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#464	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
92. C₂×C₁₃×#103	C₂²	semidirect
94. #11718889	C₂²	semidirect
95. #11718889	C₂²	semidirect
97. #11718888	C₂²	semidirect
100. #11718852	C₂²	semidirect
101. #11718849	C₂²	semidirect
102. #11718849	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718848	C₂²	semidirect
105. #11718847	C₂²	semidirect
106. #11718847	C₂²	semidirect
107. #11718846	C₂²	semidirect
108. #11718846	C₂²	semidirect
109. Q₁₆×Dic₁₃	C₂²	semidirect
110. Q₁₆×Dic₁₃	C₂²	semidirect
111. #11718843	C₂²	semidirect
112. #11718843	C₂²	semidirect
113. #11718842	C₂²	semidirect
115. #11718834	C₂²	semidirect
123. #11718826	C₂²	semidirect
127. SD₁₆×Dic₁₃	C₂²	semidirect
128. #11718777	C₂²	semidirect
131. #11718775	C₂²	semidirect
134. C₈×C₂²⋊D₁₃	C₂²	semidirect
135. C₈×C₂²⋊D₁₃	C₂²	semidirect
137. #11718720	C₂²	semidirect
139. #11718718	C₂²	semidirect
141. #11718717	C₂²	semidirect
143. #11718715	C₂²	semidirect
144. C₄×#6107	C₂²	semidirect
145. C₄×#6107	C₂²	semidirect
146. #11718689	C₂²	semidirect
147. #11718689	C₂²	semidirect
148. C₄×#6106	C₂²	semidirect
149. C₄×#6106	C₂²	semidirect
150. #11718683	C₂²	semidirect
151. #11718683	C₂²	semidirect
152. #11718632	C₂²	semidirect
154. #11718586	C₂²	semidirect
155. #11718508	C₂²	semidirect
156. #11718508	C₂²	semidirect
157. #11718506	C₂²	semidirect
158. #11718506	C₂²	semidirect
159. #11718505	C₂²	semidirect
160. #11718505	C₂²	semidirect
161. #11718495	C₂²	semidirect
162. #11718495	C₂²	semidirect
163. #11718494	C₂²	semidirect
164. #11718494	C₂²	semidirect
165. D₁₃×C₄⋊C₈	C₂²	semidirect
166. D₁₃×C₄⋊C₈	C₂²	semidirect
167. #11718491	C₂²	semidirect
168. #11718491	C₂²	semidirect
169. #11718490	C₂²	semidirect
170. #11718490	C₂²	semidirect
171. #11718479	C₂²	semidirect
172. #11718476	C₂²	semidirect
173. #11718474	C₂²	semidirect
174. #11718471	C₂²	semidirect
175. #11718468	C₂²	semidirect
176. #11718467	C₂²	semidirect
177. #11718466	C₂²	semidirect
178. #11718465	C₂²	semidirect
179. D₁₃×#103	C₂²	semidirect
180. #11718461	C₂²	semidirect
181. #11718460	C₂²	semidirect
182. #11718459	C₂²	semidirect
183. #11718453	C₂²	semidirect
184. #11718452	C₂²	semidirect
185. #11718451	C₂²	semidirect
186. #11718449	C₂²	semidirect
189. #11718444	C₂²	semidirect
194. #11718433	C₂²	semidirect
198. #11718427	C₂²	semidirect
201. #11718419	C₂²	semidirect
736. C₂×#464	D₁₃	semidirect
794. C₂²⋊D₁₃	#135	semidirect
853. C₂²×Q₁₆	C₂×D₁₃	semidirect
900. C₂×C₄×Q₈	C₂×D₁₃	semidirect
956. #464	C₂×D₁₃	semidirect
957. #464	C₂×D₁₃	semidirect
958. #464	C₂×D₁₃	semidirect
959. #464	C₂×D₁₃	semidirect
1014. C₂×C₄⋊C₈	C₂×D₁₃	semidirect
1018. C₂×#103	C₂×D₁₃	semidirect
1583. C₁₃	#61956	semidirect

Maximal subgroups

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

subgroup	index
#13128791	2
#13128453	2
#13127827	2
#13127819	2
#13127527	2
#13127516	2
#13126730	2
#13126719	2
#13126697	2
#13126678	2
#13126667	2
#13126645	2
Q₁₆×C₂²⋊D₁₃	2
#13126577	2
#13126572	2
#13126543	2
#13126538	2
SD₁₆×C₂²⋊D₁₃	2
#13126188	2
#13126186	2
#13126170	2
#13125805	2
#13125801	2
#13125791	2
#13124916	2
#13124915	2
#13124853	2
#13124290	2
D₁₃×#464	2
#13123945	2
C₂×C₁₃×#464	2
#61956	13