Subgroups — #16748111

Order 3328.

2148 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128865	C₂	1	1	yes	maximal, characteristic
2	D₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127125	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127123	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127014	C₂	1	1	yes	maximal, characteristic, complemented
6	#13127012	C₂	1	1	yes	maximal, characteristic, complemented
7	#13127009	C₂	1	1	yes	maximal, characteristic, complemented
8	#13127007	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126707	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126705	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126530	C₂	1	1	yes	maximal, characteristic, complemented
12	SD₁₆×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126496	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126495	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126345	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126342	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126341	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125859	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125760	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125639	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125637	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125618	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125615	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124956	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124915	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124071	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124068	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11718831	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123866	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	C₂²	1	1	yes	characteristic
38	#11719539	C₂²	1	1	yes	characteristic
39	#11719533	C₂²	1	1	yes	characteristic
40	C₂×#88205	C₂²	1	1	yes	characteristic, complemented
41	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
42	Q₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
44	C₂×#88192	C₂²	1	1	yes	characteristic
45	C₂²×#6105	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88172	C₂²	1	1	yes	characteristic, complemented
48	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
49	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
50	#11719432	—	2	1	no	—
51	#11719432	C₂²	1	1	yes	characteristic, complemented
52	D₁₃×C₄⋊Q₈	—	2	1	no	—
53	D₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	#11719385	C₂²	1	1	yes	characteristic
55	#11719381	C₂²	1	1	yes	characteristic
56	#11719366	—	2	1	no	—
57	#11719362	—	2	1	no	—
58	#11719340	C₂²	1	1	yes	characteristic
59	#11719337	—	2	1	no	—
60	#11719337	—	2	1	no	—
61	#11719337	C₂²	1	1	yes	characteristic
62	#11719337	C₂²	1	1	yes	characteristic, complemented
63	#11719332	C₂²	1	1	yes	characteristic
64	D₁₃×C₂²⋊Q₈	—	2	1	no	—
65	D₁₃×C₂²⋊Q₈	—	2	1	no	—
66	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
67	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
68	#11719321	C₂²	1	1	yes	characteristic
69	#11719320	—	2	1	no	—
70	#11719317	—	2	1	no	—
71	D₁₃×#121	C₂²	1	1	yes	characteristic
72	#11719298	—	2	1	no	—
73	#11719295	—	2	1	no	—
74	Q₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
75	C₄×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
76	#11719270	C₂²	1	1	yes	characteristic
77	#11719263	C₂²	1	1	yes	characteristic
78	#11719253	C₂²	1	1	yes	characteristic
79	C₄×D₄×D₁₃	—	2	1	no	—
80	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
81	D₄×Dic₂₆	—	2	1	no	—
82	D₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
83	#11719195	—	2	1	no	—
84	#11719191	—	2	1	no	—
85	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	#11718900	C₂²	1	1	yes	characteristic, complemented
97	#11718888	C₂²	1	1	yes	characteristic, complemented
98	#11718888	C₂²	1	1	yes	characteristic, complemented
99	#11718886	C₂²	1	1	yes	characteristic, complemented
100	C₂×#88075	C₂²	1	1	yes	characteristic, complemented
101	#11718879	C₂²	1	1	yes	characteristic, complemented
102	#11718849	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718847	C₂²	1	1	yes	characteristic, complemented
105	#11718847	C₂²	1	1	yes	characteristic, complemented
106	#11718847	C₂²	1	1	yes	characteristic, complemented
107	#11718847	C₂²	1	1	yes	characteristic, complemented
108	#11718847	C₂²	1	1	yes	characteristic, complemented
109	Q₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
110	#11718843	C₂²	1	1	yes	characteristic, complemented
111	#11718843	C₂²	1	1	yes	characteristic, complemented
112	#11718836	C₂²	1	1	yes	characteristic, complemented
113	#11718836	C₂²	1	1	yes	characteristic, complemented
114	#11718835	C₂²	1	1	yes	characteristic, complemented
115	#11718835	C₂²	1	1	yes	characteristic, complemented
116	#11718832	C₂²	1	1	yes	characteristic, complemented
117	#11718831	C₂²	1	1	yes	characteristic
118	#11718831	C₂²	1	1	yes	characteristic
119	#11718831	C₂²	1	1	yes	characteristic
120	#11718831	C₂²	1	1	yes	characteristic, complemented
121	#11718831	C₂²	1	1	yes	characteristic, complemented
122	#11718831	C₂²	1	1	yes	characteristic, complemented
123	#11718831	C₂²	1	1	yes	characteristic, complemented
124	#11718831	C₂²	1	1	yes	characteristic, complemented
125	#11718831	C₂²	1	1	yes	characteristic, complemented
126	#11718831	C₂²	1	1	yes	characteristic, complemented
127	#11718831	C₂²	1	1	yes	characteristic, complemented
128	#11718831	C₂²	1	1	yes	characteristic, complemented
129	#11718830	C₂²	1	1	yes	characteristic, complemented
130	#11718824	C₂²	1	1	yes	characteristic, complemented
131	#11718823	C₂²	1	1	yes	characteristic, complemented
132	#11718823	C₂²	1	1	yes	characteristic, complemented
133	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
134	#11718795	C₂²	1	1	yes	characteristic, complemented
135	#11718789	C₂²	1	1	yes	characteristic, complemented
136	#11718787	C₂²	1	1	yes	characteristic, complemented
137	#11718781	C₂²	1	1	yes	characteristic, complemented
138	#11718775	C₂²	1	1	yes	characteristic, complemented
139	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
140	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88056	C₂²	1	1	yes	characteristic, complemented
142	#11718744	C₂²	1	1	yes	characteristic, complemented
143	#11718743	C₂²	1	1	yes	characteristic, complemented
144	#11718721	C₂²	1	1	yes	characteristic, complemented
145	#11718715	C₂²	1	1	yes	characteristic, complemented
146	#11718712	C₂²	1	1	yes	characteristic, complemented
147	#11718711	C₂²	1	1	yes	characteristic, complemented
148	#11718710	C₂²	1	1	yes	characteristic, complemented
149	#11718709	C₂²	1	1	yes	characteristic, complemented
150	#11718706	C₂²	1	1	yes	characteristic, complemented
151	#11718705	C₂²	1	1	yes	characteristic, complemented
152	#11718703	C₂²	1	1	yes	characteristic, complemented
153	#11718701	C₂²	1	1	yes	characteristic, complemented
154	#11718687	C₂²	1	1	yes	characteristic, complemented
155	#11718683	C₂²	1	1	yes	characteristic, complemented
156	#11718680	C₂²	1	1	yes	characteristic, complemented
157	#11718679	C₂²	1	1	yes	characteristic, complemented
158	#11718672	C₂²	1	1	yes	characteristic, complemented
159	#11718549	C₂²	1	1	yes	characteristic, complemented
160	#11718545	C₂²	1	1	yes	characteristic, complemented
161	#11718543	C₂²	1	1	yes	characteristic, complemented
162	#11718536	C₂²	1	1	yes	characteristic, complemented
163	#11718502	C₂²	1	1	yes	characteristic, complemented
164	#11718497	C₂²	1	1	yes	characteristic, complemented
165	#11718494	C₂²	1	1	yes	characteristic, complemented
166	#11718490	C₂²	1	1	yes	characteristic, complemented
167	#11718476	C₂²	1	1	yes	characteristic, complemented
168	#11718474	C₂²	1	1	yes	characteristic, complemented
169	#11718471	C₂²	1	1	yes	characteristic, complemented
170	#11718470	C₂²	1	1	yes	characteristic, complemented
171	#11718467	C₂²	1	1	yes	characteristic, complemented
172	#11718467	C₂²	1	1	yes	characteristic, complemented
173	#11718467	C₂²	1	1	yes	characteristic, complemented
174	#11718466	C₂²	1	1	yes	characteristic, complemented
175	#11718463	C₂²	1	1	yes	characteristic, complemented
176	#11718463	C₂²	1	1	yes	characteristic, complemented
177	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
178	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
179	#11718455	C₂²	1	1	yes	characteristic, complemented
180	#11718453	C₂²	1	1	yes	characteristic, complemented
181	#11718453	C₂²	1	1	yes	characteristic, complemented
182	#11718451	C₂²	1	1	yes	characteristic, complemented
183	#11718441	C₂²	1	1	yes	characteristic, complemented
184	#11718441	C₂²	1	1	yes	characteristic, complemented
185	#11718439	C₂²	1	1	yes	characteristic, complemented
186	#11718437	C₂²	1	1	yes	characteristic, complemented
187	#11718435	C₂²	1	1	yes	characteristic
188	#11718435	C₂²	1	1	yes	characteristic, complemented
189	#11718423	C₂²	1	1	yes	characteristic, complemented
190	#11718419	C₂²	1	1	yes	characteristic, complemented
191	#11718399	C₂²	1	1	yes	characteristic, complemented
192	#11718399	C₂²	1	1	yes	characteristic, complemented
193	#11718390	C₂²	1	1	yes	characteristic, complemented
194	#11718387	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	#11718384	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	#11718371	C₂²	1	1	yes	characteristic, complemented
200	#11718367	C₂²	1	1	yes	characteristic, complemented
201	#11718366	C₂²	1	1	yes	characteristic, complemented
202	#11718364	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	—	2	1	no	—
211	C₂×Q₈×D₁₃	—	2	1	no	—
212	C₂×Q₈×D₁₃	—	2	1	no	—
213	C₂×Q₈×D₁₃	—	2	1	no	—
214	C₂×Q₈×D₁₃	—	4	2	no	—
215	C₂×Q₈×D₁₃	—	4	2	no	—
216	C₂×Q₈×D₁₃	—	4	2	no	—
217	C₂×Q₈×D₁₃	—	4	2	no	—
218	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
220	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
221	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
224	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	—	2	1	no	—
226	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×#6127	—	2	1	no	—
229	C₂²×C₄×D₁₃	—	2	1	no	—
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂²×Dic₂₆	—	2	1	no	—
234	C₂²×Dic₂₆	—	2	1	no	—
235	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
236	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
237	C₁₃×#137	—	4	2	no	—
238	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	—	4	2	no	—
242	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
249	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₁₃×C₄⋊Q₈	—	2	1	no	—
251	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₃×#124	C₂³	1	1	yes	characteristic
253	C₁₃×#123	—	2	1	no	—
254	C₁₃×C₂²⋊Q₈	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	—	2	1	no	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
259	C₁₃×#121	—	2	1	no	—
260	C₁₃×#121	C₂³	1	1	yes	characteristic
261	C₁₃×#120	—	2	1	no	—
262	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
267	#88207	—	2	1	no	—
268	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
269	#88205	—	4	2	no	—
270	#88200	—	2	1	no	—
271	#88200	—	2	1	no	—
272	#88200	C₂³	1	1	yes	characteristic
273	#88200	C₂³	1	1	yes	characteristic
274	#88200	C₂³	1	1	yes	characteristic
275	#88200	C₂³	1	1	yes	characteristic
276	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
277	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
278	#88198	—	2	1	no	—
279	#88198	—	2	1	no	—
280	#88198	C₂³	1	1	yes	characteristic
281	#88198	C₂³	1	1	yes	characteristic
282	C₂×#6107	C₂³	1	1	yes	characteristic
283	C₂×#6107	C₂³	1	1	yes	characteristic
284	C₂×#6107	C₂³	1	1	yes	characteristic
285	C₂×#6106	C₂³	1	1	yes	characteristic
286	C₂×#6106	C₂³	1	1	yes	characteristic
287	C₂×#6106	C₂³	1	1	yes	characteristic
288	#88194	—	2	1	no	—
289	#88194	C₂³	1	1	yes	characteristic
290	#88193	—	2	1	no	—
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	—	2	1	no	—
294	#88192	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	—	2	1	no	—
297	#88192	C₂³	1	1	yes	characteristic
298	#88192	C₂³	1	1	yes	characteristic
299	#88192	C₂³	1	1	yes	characteristic
300	#88192	C₂³	1	1	yes	characteristic
301	#88192	C₂³	1	1	yes	characteristic
302	#88191	—	2	1	no	—
303	#88191	—	2	1	no	—
304	#88190	—	2	1	no	—
305	#88189	—	2	1	no	—
306	D₄×Dic₁₃	—	2	1	no	—
307	D₄×Dic₁₃	D₄	1	1	yes	characteristic
308	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×#6105	—	4	2	no	—
310	C₂×#6105	C₂³	1	1	yes	characteristic
311	C₂×#6105	C₂³	1	1	yes	characteristic
312	C₂×#6105	C₂³	1	1	yes	characteristic
313	C₂×#6105	C₂³	1	1	yes	characteristic
314	C₂×#6105	C₂³	1	1	yes	characteristic
315	C₂×#6105	C₂³	1	1	yes	characteristic
316	#88184	—	2	1	no	—
317	#88184	C₂³	1	1	yes	characteristic
318	#88184	C₂³	1	1	yes	characteristic
319	#88183	—	2	1	no	—
320	C₄×C₂²⋊D₁₃	—	2	1	no	—
321	C₄×C₂²⋊D₁₃	—	2	1	no	—
322	C₄×C₂²⋊D₁₃	—	2	1	no	—
323	C₄×C₂²⋊D₁₃	—	2	1	no	—
324	C₄×C₂²⋊D₁₃	—	2	1	no	—
325	C₄×C₂²⋊D₁₃	—	2	1	no	—
326	C₄×C₂²⋊D₁₃	—	2	1	no	—
327	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
328	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
329	#88180	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
331	#88178	—	2	1	no	—
332	#88178	—	2	1	no	—
333	#88178	C₂³	1	1	yes	characteristic
334	#88178	C₂³	1	1	yes	characteristic
335	C₂×#6099	C₂³	1	1	yes	characteristic
336	C₂²×#1055	C₂³	1	1	yes	characteristic
337	#88172	—	4	2	no	—
338	#88172	—	4	2	no	—
339	SD₁₆×D₁₃	—	4	2	no	—
340	SD₁₆×D₁₃	—	4	2	no	—
341	C₂×#6095	C₂³	1	1	yes	characteristic
342	C₂×#6095	C₂³	1	1	yes	characteristic
343	C₂×#6095	C₂³	1	1	yes	characteristic
344	C₂×#6094	C₂³	1	1	yes	characteristic
345	C₂×#6094	C₂³	1	1	yes	characteristic
346	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
347	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
348	#88152	—	2	1	no	—
349	#88151	—	2	1	no	—
350	#88151	—	2	1	no	—
351	#88151	—	2	1	no	—
352	#88151	C₂³	1	1	yes	characteristic
353	#88151	C₂³	1	1	yes	characteristic
354	#88150	—	2	1	no	—
355	#88150	—	2	1	no	—
356	#88150	—	2	1	no	—
357	#88150	—	2	1	no	—
358	#88150	—	2	1	no	—
359	#88150	—	2	1	no	—
360	#88149	C₂³	1	1	yes	characteristic
361	#88148	—	2	1	no	—
362	#88147	—	2	1	no	—
363	#88147	—	2	1	no	—
364	#88147	D₄	1	1	yes	characteristic
365	#88146	C₂³	1	1	yes	characteristic
366	C₄⋊C₄×D₁₃	—	2	1	no	—
367	C₄⋊C₄×D₁₃	—	2	1	no	—
368	C₄⋊C₄×D₁₃	—	2	1	no	—
369	C₄⋊C₄×D₁₃	—	2	1	no	—
370	C₄⋊C₄×D₁₃	—	2	1	no	—
371	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
372	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
373	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
374	#88143	—	2	1	no	—
375	#88142	—	2	1	no	—
376	#88142	—	2	1	no	—
377	#88142	—	2	1	no	—
378	#88142	—	2	1	no	—
379	#88142	—	2	1	no	—
380	#88142	—	2	1	no	—
381	#88142	C₂³	1	1	yes	characteristic
382	#88141	—	2	1	no	—
383	#88141	C₂³	1	1	yes	characteristic
384	#88139	—	2	1	no	—
385	#88139	—	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	#88137	—	2	1	no	—
393	#88136	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88135	—	2	1	no	—
396	#88135	—	2	1	no	—
397	#88135	—	2	1	no	—
398	#88135	—	2	1	no	—
399	#88135	—	2	1	no	—
400	#88135	—	2	1	no	—
401	#88135	D₄	1	1	yes	characteristic
402	#88135	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
408	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
409	#88133	—	2	1	no	—
410	#88133	—	2	1	no	—
411	#88132	—	2	1	no	—
412	#88132	—	2	1	no	—
413	#88132	—	2	1	no	—
414	#88132	—	2	1	no	—
415	#88132	—	2	1	no	—
416	#88132	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88131	—	2	1	no	—
419	#88131	—	2	1	no	—
420	C₄×D₅₂	—	2	1	no	—
421	C₄×D₅₂	C₂³	1	1	yes	characteristic
422	C₄×D₅₂	C₂³	1	1	yes	characteristic
423	C₄²×D₁₃	—	2	1	no	—
424	C₄²×D₁₃	C₂³	1	1	yes	characteristic
425	#88124	C₂³	1	1	yes	characteristic
426	#88123	—	2	1	no	—
427	#88123	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₆	—	2	1	no	—
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#102	C₂³	1	1	yes	characteristic
437	C₁₃×#102	C₂³	1	1	yes	characteristic
438	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×#97	C₂³	1	1	yes	characteristic
441	#88075	C₂³	1	1	yes	characteristic
442	#88075	C₂³	1	1	yes	characteristic
443	#88075	C₂³	1	1	yes	characteristic
444	#88075	C₂³	1	1	yes	characteristic
445	#88075	C₂³	1	1	yes	characteristic
446	#88075	C₂³	1	1	yes	characteristic
447	#88075	C₂³	1	1	yes	characteristic
448	#88075	C₂³	1	1	yes	characteristic
449	#88075	C₂³	1	1	yes	characteristic
450	#88075	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	C₂²⋊#1055	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88058	C₂³	1	1	yes	characteristic
465	#88058	C₂³	1	1	yes	characteristic
466	#88057	C₂³	1	1	yes	characteristic
467	#88056	C₂³	1	1	yes	characteristic
468	#88056	C₂³	1	1	yes	characteristic
469	#88056	C₂³	1	1	yes	characteristic
470	#88056	C₂³	1	1	yes	characteristic
471	#88056	C₂³	1	1	yes	characteristic
472	#88056	C₂³	1	1	yes	characteristic
473	#88056	C₂³	1	1	yes	characteristic
474	#88056	C₂³	1	1	yes	characteristic
475	#88056	C₂³	1	1	yes	characteristic
476	#88054	C₂³	1	1	yes	characteristic
477	#88054	C₂³	1	1	yes	characteristic
478	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
480	#88050	C₂³	1	1	yes	characteristic
481	#88050	C₂³	1	1	yes	characteristic
482	#88050	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88047	C₂³	1	1	yes	characteristic
486	#88047	C₂³	1	1	yes	characteristic
487	#88047	C₂³	1	1	yes	characteristic
488	C₄⋊#1055	C₂³	1	1	yes	characteristic
489	#88043	C₂³	1	1	yes	characteristic
490	#61593	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
495	C₁₃×#41	—	4	1	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₂×Q₈×C₁₃	—	2	1	no	—
498	C₂×Q₈×C₁₃	—	2	1	no	—
499	C₂×Q₈×C₁₃	—	2	2	no	—
500	C₂×Q₈×C₁₃	—	2	2	no	—
501	C₂×Q₈×C₁₃	—	4	1	no	—
502	C₂×Q₈×C₁₃	—	4	1	no	—
503	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	4	1	no	—
511	C₂×D₄×C₁₃	—	4	1	no	—
512	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	—	4	4	no	—
532	C₂×C₂²⋊D₁₃	—	8	2	no	—
533	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
535	C₂²×Dic₁₃	—	2	1	no	—
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	—	2	1	no	—
539	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
541	#6131	—	4	1	no	—
542	#6131	—	4	1	no	—
543	Q₈×D₁₃	—	2	2	no	—
544	Q₈×D₁₃	—	2	2	no	—
545	Q₈×D₁₃	—	2	2	no	—
546	Q₈×D₁₃	—	2	2	no	—
547	Q₈×D₁₃	—	2	2	no	—
548	Q₈×D₁₃	—	2	2	no	—
549	Q₈×D₁₃	—	4	1	no	—
550	Q₈×D₁₃	—	4	1	no	—
551	Q₈×D₁₃	—	4	1	no	—
552	Q₈×D₁₃	—	4	1	no	—
553	Q₈×D₁₃	—	4	1	no	—
554	Q₈×D₁₃	—	4	1	no	—
555	Q₈×D₁₃	—	4	1	no	—
556	Q₈×D₁₃	—	4	1	no	—
557	Q₈×D₁₃	—	4	4	no	—
558	Q₈×D₁₃	—	4	4	no	—
559	Q₈×D₁₃	—	4	4	no	—
560	Q₈×D₁₃	—	4	4	no	—
561	D₄×D₁₃	—	2	4	no	—
562	D₄×D₁₃	—	4	1	no	—
563	D₄×D₁₃	—	4	1	no	—
564	D₄×D₁₃	—	8	2	no	—
565	#6127	—	8	2	no	—
566	C₂×D₅₂	—	2	1	no	—
567	C₂×D₅₂	—	2	1	no	—
568	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
569	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₁₃	—	2	1	no	—
571	C₂×C₄×D₁₃	—	2	1	no	—
572	C₂×C₄×D₁₃	—	2	1	no	—
573	C₂×C₄×D₁₃	—	2	1	no	—
574	C₂×C₄×D₁₃	—	2	1	no	—
575	C₂×C₄×D₁₃	—	2	1	no	—
576	C₂×C₄×D₁₃	—	2	1	no	—
577	C₂×C₄×D₁₃	—	2	1	no	—
578	C₂×C₄×D₁₃	—	2	1	no	—
579	C₂×C₄×D₁₃	—	2	1	no	—
580	C₂×C₄×D₁₃	—	2	1	no	—
581	C₂×C₄×D₁₃	—	4	1	no	—
582	C₂×C₄×D₁₃	—	4	1	no	—
583	C₂×C₄×D₁₃	—	4	1	no	—
584	C₂×C₄×D₁₃	—	4	1	no	—
585	C₂×C₄×D₁₃	—	4	4	no	—
586	C₂×C₄×D₁₃	—	4	4	no	—
587	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
588	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
589	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
592	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₂₆	—	2	1	no	—
597	C₂×Dic₂₆	—	2	2	no	—
598	C₂×Dic₂₆	—	2	2	no	—
599	C₂×Dic₂₆	—	2	1	no	—
600	C₂×Dic₂₆	—	2	1	no	—
601	C₂×Dic₂₆	—	2	1	no	—
602	C₂×Dic₂₆	—	2	1	no	—
603	C₂×Dic₂₆	—	2	1	no	—
604	C₂×Dic₂₆	—	2	1	no	—
605	C₂×Dic₂₆	—	2	1	no	—
606	C₂×Dic₂₆	—	2	1	no	—
607	C₂×Dic₂₆	—	2	1	no	—
608	C₂×Dic₂₆	—	4	1	no	—
609	C₂×Dic₂₆	—	4	1	no	—
610	C₂×Dic₂₆	—	4	4	no	—
611	C₂×Dic₂₆	—	4	4	no	—
612	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
613	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
614	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
615	C₁₃×Q₁₆	—	2	2	no	—
616	C₁₃×Q₁₆	—	4	1	no	—
617	C₁₃×Q₁₆	—	4	1	no	—
618	C₁₃×SD₁₆	—	2	2	no	—
619	C₁₃×SD₁₆	—	2	2	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×M₁₆	—	4	1	no	—
625	C₂×C₈×C₁₃	—	4	1	no	—
626	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
635	C₁₃×C₄⋊C₄	—	2	1	no	—
636	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₄²×C₁₃	—	2	1	no	—
649	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
660	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
661	#6107	—	2	2	no	—
662	#6107	—	4	1	no	—
663	#6107	—	4	1	no	—
664	#6106	—	2	2	no	—
665	#6106	—	4	1	no	—
666	#6106	—	4	1	no	—
667	#6105	—	2	2	no	—
668	#6105	—	2	2	no	—
669	#6105	—	4	1	no	—
670	#6105	—	4	1	no	—
671	#6105	—	4	1	no	—
672	#6105	—	4	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	—	2	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	C₂×D₄	1	1	yes	characteristic
685	#6103	C₂×D₄	1	1	yes	characteristic
686	#6103	C₂×D₄	1	1	yes	characteristic
687	#6103	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₁₃	—	2	1	no	—
689	C₄⋊Dic₁₃	—	2	1	no	—
690	C₄⋊Dic₁₃	—	2	1	no	—
691	C₄⋊Dic₁₃	—	2	1	no	—
692	C₄⋊Dic₁₃	—	2	1	no	—
693	C₄⋊Dic₁₃	—	2	1	no	—
694	C₄⋊Dic₁₃	—	2	1	no	—
695	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
696	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
697	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
698	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
700	#6101	—	2	1	no	—
701	#6101	—	2	1	no	—
702	#6101	—	2	1	no	—
703	#6101	—	2	1	no	—
704	#6101	—	2	1	no	—
705	#6101	—	2	1	no	—
706	#6101	—	2	1	no	—
707	#6101	—	2	1	no	—
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	—	2	1	no	—
717	#6101	C₂×D₄	1	1	yes	characteristic
718	#6101	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₁₃	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	—	2	1	no	—
724	C₄×Dic₁₃	—	2	1	no	—
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	#6099	—	4	1	no	—
729	C₂×#1055	—	4	1	no	—
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	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	#6095	—	2	2	no	—
735	#6095	—	4	1	no	—
736	#6095	—	4	1	no	—
737	#6094	—	4	1	no	—
738	#6094	—	4	1	no	—
739	C₈×D₁₃	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	#3519	—	13	1	no	—
742	C₂×D₄×Q₈	—	13	1	no	—
743	#3329	—	13	1	no	—
744	#3329	—	13	1	no	—
745	#3320	—	13	1	no	—
746	#3320	—	13	1	no	—
747	#3320	—	13	1	no	—
748	#3320	—	13	1	no	—
749	#3299	—	13	1	no	—
750	#3299	—	13	1	no	—
751	D₄×SD₁₆	—	13	1	no	—
752	D₄×SD₁₆	—	13	1	no	—
753	#3278	—	13	1	no	—
754	#3278	—	13	1	no	—
755	#3266	—	13	1	no	—
756	#3266	—	13	1	no	—
757	#3266	—	13	1	no	—
758	#3266	D₁₃	1	1	yes	characteristic, complemented
759	#3218	—	13	1	no	—
760	#3206	—	13	1	no	—
761	#3193	—	13	1	no	—
762	#3193	—	13	1	no	—
763	#3190	—	13	1	no	—
764	#3190	—	13	1	no	—
765	#3112	—	13	1	no	—
766	#3108	—	13	1	no	—
767	#3004	—	13	1	no	—
768	#3004	—	13	1	no	—
769	C₂×#448	—	13	1	no	—
770	C₂×#448	—	13	1	no	—
771	#2974	—	13	1	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	4	2	no	—
775	C₂³×C₁₃	—	8	1	no	—
776	C₂³×C₁₃	—	8	1	no	—
777	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
778	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂²×D₁₃	—	2	2	no	—
780	C₂²×D₁₃	—	2	2	no	—
781	C₂²×D₁₃	—	2	2	no	—
782	C₂²×D₁₃	—	2	2	no	—
783	C₂²×D₁₃	—	2	1	no	—
784	C₂²×D₁₃	—	4	1	no	—
785	C₂²×D₁₃	—	4	1	no	—
786	C₂²×D₁₃	—	4	2	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	2	1	no	—
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	2	1	no	—
799	Q₈×C₁₃	—	4	2	no	—
800	Q₈×C₁₃	—	4	2	no	—
801	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
802	D₄×C₁₃	—	2	2	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	2	1	no	—
807	D₄×C₁₃	—	8	1	no	—
808	D₄×C₁₃	—	8	1	no	—
809	D₄×C₁₃	—	8	1	no	—
810	C₂×C₄×C₁₃	—	2	1	no	—
811	C₂×C₄×C₁₃	—	2	1	no	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	4	2	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	8	1	no	—
823	C₂×C₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
829	C₂²⋊D₁₃	—	2	2	no	—
830	C₂²⋊D₁₃	—	4	2	no	—
831	C₂²⋊D₁₃	—	4	2	no	—
832	C₂²⋊D₁₃	—	4	2	no	—
833	C₂²⋊D₁₃	—	4	2	no	—
834	C₂²⋊D₁₃	—	4	2	no	—
835	C₂²⋊D₁₃	—	8	1	no	—
836	C₂²⋊D₁₃	—	8	1	no	—
837	C₂²⋊D₁₃	—	8	1	no	—
838	C₂²⋊D₁₃	—	8	1	no	—
839	C₂²⋊D₁₃	—	8	1	no	—
840	C₂²⋊D₁₃	#137	1	4	yes	complemented
841	C₂×Dic₁₃	—	2	1	no	—
842	C₂×Dic₁₃	—	2	1	no	—
843	C₂×Dic₁₃	—	2	1	no	—
844	C₂×Dic₁₃	—	2	1	no	—
845	C₂×Dic₁₃	—	2	1	no	—
846	C₂×Dic₁₃	—	2	1	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	4	1	no	—
849	C₂×Dic₁₃	—	4	1	no	—
850	C₂×Dic₁₃	—	4	2	no	—
851	C₂×Dic₁₃	—	4	2	no	—
852	C₂×Dic₁₃	—	4	2	no	—
853	C₂×Dic₁₃	—	8	1	no	—
854	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
855	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
856	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
859	D₅₂	—	2	2	no	—
860	D₅₂	—	2	1	no	—
861	D₅₂	—	2	1	no	—
862	D₅₂	—	4	2	no	—
863	D₅₂	—	8	1	no	—
864	C₄×D₁₃	—	2	4	no	—
865	C₄×D₁₃	—	2	2	no	—
866	C₄×D₁₃	—	2	1	no	—
867	C₄×D₁₃	—	2	1	no	—
868	C₄×D₁₃	—	2	1	no	—
869	C₄×D₁₃	—	2	1	no	—
870	C₄×D₁₃	—	2	1	no	—
871	C₄×D₁₃	—	2	1	no	—
872	C₄×D₁₃	—	2	2	no	—
873	C₄×D₁₃	—	4	1	no	—
874	C₄×D₁₃	—	4	1	no	—
875	C₄×D₁₃	—	4	1	no	—
876	C₄×D₁₃	—	4	1	no	—
877	C₄×D₁₃	—	4	2	no	—
878	C₄×D₁₃	—	4	2	no	—
879	C₄×D₁₃	—	4	2	no	—
880	C₄×D₁₃	—	4	2	no	—
881	C₄×D₁₃	—	4	2	no	—
882	C₄×D₁₃	—	4	2	no	—
883	C₄×D₁₃	—	4	2	no	—
884	C₄×D₁₃	—	8	1	no	—
885	C₄×D₁₃	—	8	1	no	—
886	C₄×D₁₃	—	8	1	no	—
887	Dic₂₆	—	2	4	no	—
888	Dic₂₆	—	2	1	no	—
889	Dic₂₆	—	2	1	no	—
890	Dic₂₆	—	2	1	no	—
891	Dic₂₆	—	2	1	no	—
892	Dic₂₆	—	2	1	no	—
893	Dic₂₆	—	4	2	no	—
894	Dic₂₆	—	4	2	no	—
895	Dic₂₆	—	4	2	no	—
896	Dic₂₆	—	4	2	no	—
897	Dic₂₆	—	4	2	no	—
898	Dic₂₆	—	4	2	no	—
899	Dic₂₆	—	4	2	no	—
900	Dic₂₆	—	4	2	no	—
901	Dic₂₆	—	8	1	no	—
902	Dic₂₆	H(5,𝔽₂)	1	2	yes	—
903	C₈×C₁₃	—	2	1	no	—
904	C₈×C₁₃	—	2	1	no	—
905	C₈×C₁₃	—	2	1	no	—
906	C₈×C₁₃	—	2	1	no	—
907	#1055	—	2	1	no	—
908	#1055	—	2	1	no	—
909	#1055	—	2	1	no	—
910	#1055	—	2	1	no	—
911	C₂³×Q₈	—	13	1	no	—
912	C₂³×Q₈	—	13	1	no	—
913	C₂×#137	—	13	1	no	—
914	C₂×#137	—	13	1	no	—
915	C₂×#137	—	13	1	no	—
916	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
917	C₂²×SD₁₆	—	13	1	no	—
918	C₂²×SD₁₆	—	13	1	no	—
919	C₂²×SD₁₆	—	13	1	no	—
920	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
921	#555	—	13	1	no	—
922	#554	—	13	1	no	—
923	#553	—	13	1	no	—
924	#553	—	13	1	no	—
925	#553	—	26	1	no	—
926	#550	—	13	1	no	—
927	D₄×Q₈	—	13	1	no	—
928	D₄×Q₈	—	13	1	no	—
929	D₄×Q₈	—	13	1	no	—
930	D₄×Q₈	—	13	1	no	—
931	D₄×Q₈	—	13	1	no	—
932	D₄×Q₈	—	13	1	no	—
933	D₄×Q₈	—	13	1	no	—
934	D₄×Q₈	—	26	1	no	—
935	D₄×Q₈	—	26	1	no	—
936	D₄×Q₈	—	26	1	no	—
937	D₄×Q₈	—	26	1	no	—
938	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
939	#546	—	13	1	no	—
940	#546	—	26	1	no	—
941	#546	—	26	1	no	—
942	#546	C₂×D₁₃	1	1	yes	characteristic
943	D₄²	—	13	1	no	—
944	D₄²	—	26	1	no	—
945	#540	—	26	1	no	—
946	#538	—	26	1	no	—
947	#538	—	26	1	no	—
948	#532	—	13	1	no	—
949	C₂×C₄⋊Q₈	—	13	1	no	—
950	C₂×C₄⋊Q₈	—	26	1	no	—
951	#529	—	13	1	no	—
952	#525	—	13	1	no	—
953	#525	—	13	1	no	—
954	C₂×C₂²⋊Q₈	—	13	1	no	—
955	C₂×C₂²⋊Q₈	—	13	1	no	—
956	C₂×C₂²⋊Q₈	—	26	1	no	—
957	C₂×C₂²⋊Q₈	—	26	1	no	—
958	C₂×#121	—	13	1	no	—
959	C₂×#121	—	13	1	no	—
960	#518	—	26	1	no	—
961	C₂×C₄×Q₈	—	13	1	no	—
962	C₂×C₄×D₄	—	13	1	no	—
963	C₂×C₄×D₄	—	26	1	no	—
964	#497	—	13	1	no	—
965	#497	C₂×D₁₃	1	1	yes	characteristic, complemented
966	#492	—	13	1	no	—
967	#492	—	13	1	no	—
968	#491	—	13	1	no	—
969	#491	—	13	1	no	—
970	#487	—	13	1	no	—
971	#487	—	13	1	no	—
972	#485	—	13	1	no	—
973	#485	—	13	1	no	—
974	#485	—	13	1	no	—
975	#485	—	13	1	no	—
976	#484	—	13	1	no	—
977	#484	—	13	1	no	—
978	#484	—	13	1	no	—
979	#484	—	13	1	no	—
980	#483	—	13	1	no	—
981	#480	—	13	1	no	—
982	#480	—	13	1	no	—
983	#480	—	13	1	no	—
984	#479	—	13	1	no	—
985	#479	—	13	1	no	—
986	#477	—	13	1	no	—
987	#477	—	13	1	no	—
988	#468	—	13	1	no	—
989	#468	—	13	1	no	—
990	#468	—	13	1	no	—
991	#468	—	13	1	no	—
992	#468	—	13	1	no	—
993	#468	—	13	1	no	—
994	#468	—	13	1	no	—
995	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
996	#467	—	13	1	no	—
997	#467	—	13	1	no	—
998	#467	—	13	1	no	—
999	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
1000	#465	—	13	1	no	—
1001	#465	—	13	1	no	—
1002	#465	—	13	1	no	—
1003	#465	—	13	1	no	—
1004	#464	—	13	1	no	—
1005	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1006	#462	—	13	1	no	—
1007	#462	—	13	1	no	—
1008	#461	—	13	1	no	—
1009	#461	—	13	1	no	—
1010	#461	—	13	1	no	—
1011	#461	—	13	1	no	—
1012	#461	—	13	1	no	—
1013	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
1014	#460	—	13	1	no	—
1015	#460	—	13	1	no	—
1016	#452	—	13	1	no	—
1017	#452	—	13	1	no	—
1018	#452	—	13	1	no	—
1019	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1020	#451	—	13	1	no	—
1021	#451	—	13	1	no	—
1022	#451	—	13	1	no	—
1023	#451	—	13	1	no	—
1024	#451	—	13	1	no	—
1025	#451	—	13	1	no	—
1026	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1027	#450	—	13	1	no	—
1028	#450	—	13	1	no	—
1029	#450	—	13	1	no	—
1030	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1031	#448	—	13	1	no	—
1032	#448	—	13	1	no	—
1033	#448	—	13	1	no	—
1034	#448	—	13	1	no	—
1035	#448	—	13	1	no	—
1036	#448	—	13	1	no	—
1037	#448	—	13	1	no	—
1038	#448	—	13	1	no	—
1039	#448	—	13	1	no	—
1040	#448	—	13	1	no	—
1041	#448	—	13	1	no	—
1042	#448	—	13	1	no	—
1043	#448	—	13	1	no	—
1044	#448	—	13	1	no	—
1045	#448	—	13	1	no	—
1046	#448	—	13	1	no	—
1047	#448	—	13	1	no	—
1048	#448	—	13	1	no	—
1049	#448	—	13	1	no	—
1050	#448	—	13	1	no	—
1051	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#440	—	13	1	no	—
1053	#440	—	13	1	no	—
1054	#440	—	13	1	no	—
1055	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1056	C₄×Q₁₆	—	13	1	no	—
1057	C₄×Q₁₆	—	13	1	no	—
1058	C₄×SD₁₆	—	13	1	no	—
1059	C₄×SD₁₆	—	13	1	no	—
1060	#436	—	13	1	no	—
1061	#436	—	13	1	no	—
1062	#435	—	13	1	no	—
1063	#435	—	13	1	no	—
1064	#435	—	13	1	no	—
1065	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1066	C₈×D₄	—	13	1	no	—
1067	C₈×D₄	—	13	1	no	—
1068	#432	—	13	1	no	—
1069	#431	—	13	1	no	—
1070	#419	—	13	1	no	—
1071	#419	—	13	1	no	—
1072	#419	—	13	1	no	—
1073	#419	—	13	1	no	—
1074	C₂×#103	—	13	1	no	—
1075	C₂×#103	—	13	1	no	—
1076	C₂×#103	—	13	1	no	—
1077	C₂×#103	—	13	1	no	—
1078	#407	—	13	1	no	—
1079	#407	—	13	1	no	—
1080	C₂×C₂²⋊C₈	—	13	1	no	—
1081	C₂×C₂²⋊C₈	—	13	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	2	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	—	4	1	no	—
1089	C₂²×C₁₃	—	4	1	no	—
1090	C₂²×C₁₃	—	4	1	no	—
1091	C₂²×C₁₃	—	4	1	no	—
1092	C₂²×C₁₃	—	4	1	no	—
1093	C₂²×C₁₃	—	16	2	no	—
1094	C₂²×C₁₃	C₂×#137	1	2	yes	—
1095	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1096	C₂×D₁₃	—	2	1	no	—
1097	C₂×D₁₃	—	2	1	no	—
1098	C₂×D₁₃	—	2	1	no	—
1099	C₂×D₁₃	—	2	1	no	—
1100	C₂×D₁₃	—	2	1	no	—
1101	C₂×D₁₃	—	2	1	no	—
1102	C₂×D₁₃	—	2	1	no	—
1103	C₂×D₁₃	—	4	4	no	—
1104	C₂×D₁₃	—	4	4	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	4	1	no	—
1107	C₂×D₁₃	—	4	1	no	—
1108	C₂×D₁₃	—	16	2	no	—
1109	C₂×D₁₃	C₂×#137	1	2	yes	—
1110	C₂×D₁₃	#577	1	2	yes	—
1111	C₄×C₁₃	—	2	2	no	—
1112	C₄×C₁₃	—	2	1	no	—
1113	C₄×C₁₃	—	2	1	no	—
1114	C₄×C₁₃	—	2	1	no	—
1115	C₄×C₁₃	—	2	1	no	—
1116	C₄×C₁₃	—	4	1	no	—
1117	C₄×C₁₃	—	4	1	no	—
1118	C₄×C₁₃	—	4	1	no	—
1119	C₄×C₁₃	—	4	1	no	—
1120	C₄×C₁₃	—	4	1	no	—
1121	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1122	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1123	Dic₁₃	—	2	1	no	—
1124	Dic₁₃	—	2	2	no	—
1125	Dic₁₃	—	2	1	no	—
1126	Dic₁₃	—	2	1	no	—
1127	Dic₁₃	—	2	1	no	—
1128	Dic₁₃	—	4	1	no	—
1129	Dic₁₃	—	4	1	no	—
1130	Dic₁₃	—	4	1	no	—
1131	Dic₁₃	—	4	1	no	—
1132	Dic₁₃	—	4	1	no	—
1133	Dic₁₃	—	4	1	no	—
1134	Dic₁₃	C₂×#137	1	2	yes	—
1135	C₂×#41	—	13	1	no	—
1136	C₂×#41	—	26	1	no	—
1137	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1138	C₂²×Q₈	—	13	1	no	—
1139	C₂²×Q₈	—	13	1	no	—
1140	C₂²×Q₈	—	13	1	no	—
1141	C₂²×Q₈	—	13	1	no	—
1142	C₂²×Q₈	—	13	1	no	—
1143	C₂²×Q₈	—	13	1	no	—
1144	C₂²×Q₈	—	13	1	no	—
1145	C₂²×Q₈	—	13	1	no	—
1146	C₂²×Q₈	—	13	1	no	—
1147	C₂²×Q₈	—	26	1	no	—
1148	C₂²×Q₈	—	26	1	no	—
1149	C₂²×Q₈	—	26	1	no	—
1150	C₂²×Q₈	—	26	1	no	—
1151	C₂²×Q₈	—	26	1	no	—
1152	C₂²×Q₈	—	26	1	no	—
1153	C₂²×Q₈	—	52	2	no	—
1154	C₂²×Q₈	—	52	2	no	—
1155	C₂²×Q₈	—	52	2	no	—
1156	C₂²×Q₈	—	52	2	no	—
1157	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1158	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂²×D₄	—	13	1	no	—
1160	C₂²×D₄	—	13	1	no	—
1161	C₂²×D₄	—	26	1	no	—
1162	C₂²×D₄	—	26	1	no	—
1163	C₂²×D₄	—	26	1	no	—
1164	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂³×C₄	—	13	1	no	—
1166	C₂³×C₄	—	13	1	no	—
1167	C₂³×C₄	—	26	1	no	—
1168	C₂³×C₄	—	26	1	no	—
1169	#137	—	4	2	no	—
1170	#137	—	52	2	no	—
1171	#137	—	52	2	no	—
1172	#137	—	52	2	no	—
1173	C₂×Q₁₆	—	13	1	no	—
1174	C₂×Q₁₆	—	13	1	no	—
1175	C₂×Q₁₆	—	13	1	no	—
1176	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1177	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1179	C₂×SD₁₆	—	4	2	no	—
1180	C₂×SD₁₆	—	13	1	no	—
1181	C₂×SD₁₆	—	13	1	no	—
1182	C₂×SD₁₆	—	13	1	no	—
1183	C₂×SD₁₆	—	13	1	no	—
1184	C₂×SD₁₆	—	13	1	no	—
1185	C₂×SD₁₆	—	13	1	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×SD₁₆	—	13	1	no	—
1189	C₂×SD₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	52	2	no	—
1193	C₂×SD₁₆	—	52	2	no	—
1194	C₂×SD₁₆	—	52	2	no	—
1195	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1196	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1199	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1200	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1201	C₂×M₁₆	—	13	1	no	—
1202	C₂×M₁₆	—	13	1	no	—
1203	C₂×M₁₆	—	13	1	no	—
1204	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1205	C₂²×C₈	—	13	1	no	—
1206	C₂²×C₈	—	13	1	no	—
1207	C₂²×C₈	—	13	1	no	—
1208	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1209	C₄⋊Q₈	—	2	1	no	—
1210	C₄⋊Q₈	—	13	1	no	—
1211	C₄⋊Q₈	—	13	1	no	—
1212	C₄⋊Q₈	—	13	1	no	—
1213	C₄⋊Q₈	—	13	1	no	—
1214	C₄⋊Q₈	—	26	1	no	—
1215	C₄⋊Q₈	—	26	1	no	—
1216	C₄⋊Q₈	—	26	1	no	—
1217	C₄⋊Q₈	—	26	1	no	—
1218	C₄⋊Q₈	—	26	1	no	—
1219	C₄⋊Q₈	—	26	1	no	—
1220	C₄⋊Q₈	—	26	1	no	—
1221	C₄⋊Q₈	—	26	1	no	—
1222	C₄⋊Q₈	—	26	1	no	—
1223	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1224	#127	—	13	1	no	—
1225	#127	—	26	1	no	—
1226	#126	—	26	1	no	—
1227	#126	—	26	1	no	—
1228	#126	—	26	1	no	—
1229	#125	—	13	1	no	—
1230	#125	—	26	1	no	—
1231	#124	—	26	1	no	—
1232	#124	—	26	1	no	—
1233	#124	—	26	1	no	—
1234	#124	C₂²×D₁₃	1	1	yes	characteristic
1235	#123	—	2	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	C₂²⋊Q₈	—	2	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	13	1	no	—
1245	C₂²⋊Q₈	—	13	1	no	—
1246	C₂²⋊Q₈	—	13	1	no	—
1247	C₂²⋊Q₈	—	13	1	no	—
1248	C₂²⋊Q₈	—	13	1	no	—
1249	C₂²⋊Q₈	—	13	1	no	—
1250	C₂²⋊Q₈	—	13	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	26	1	no	—
1253	C₂²⋊Q₈	—	26	1	no	—
1254	C₂²⋊Q₈	—	26	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	C₂²⋊Q₈	—	26	1	no	—
1260	C₂²⋊Q₈	—	26	1	no	—
1261	C₂²⋊Q₈	—	26	1	no	—
1262	C₂²⋊Q₈	—	26	1	no	—
1263	C₂²⋊Q₈	—	26	1	no	—
1264	C₂²⋊Q₈	—	26	1	no	—
1265	C₂²⋊Q₈	—	26	1	no	—
1266	C₂²⋊Q₈	—	26	1	no	—
1267	C₂²⋊Q₈	—	26	1	no	—
1268	C₂²⋊Q₈	—	26	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1273	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1275	#121	—	2	1	no	—
1276	#121	—	13	1	no	—
1277	#121	—	13	1	no	—
1278	#121	—	13	1	no	—
1279	#121	—	13	1	no	—
1280	#121	—	13	1	no	—
1281	#121	—	13	1	no	—
1282	#121	—	13	1	no	—
1283	#121	—	13	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	—	26	1	no	—
1290	#121	—	26	1	no	—
1291	#121	—	26	1	no	—
1292	#121	—	26	1	no	—
1293	#121	—	26	1	no	—
1294	#121	—	26	1	no	—
1295	#121	—	26	1	no	—
1296	#121	C₂²×D₁₃	1	1	yes	characteristic
1297	#120	—	2	1	no	—
1298	#120	—	26	1	no	—
1299	#120	—	26	1	no	—
1300	#120	—	26	1	no	—
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	C₄×Q₈	—	13	1	no	—
1304	C₄×Q₈	—	13	1	no	—
1305	C₄×Q₈	—	13	1	no	—
1306	C₄×Q₈	—	13	1	no	—
1307	C₄×Q₈	—	26	1	no	—
1308	C₄×Q₈	—	26	1	no	—
1309	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1310	C₄×D₄	—	2	1	no	—
1311	C₄×D₄	—	13	1	no	—
1312	C₄×D₄	—	13	1	no	—
1313	C₄×D₄	—	13	1	no	—
1314	C₄×D₄	—	13	1	no	—
1315	C₄×D₄	—	13	1	no	—
1316	C₄×D₄	—	13	1	no	—
1317	C₄×D₄	—	13	1	no	—
1318	C₄×D₄	—	13	1	no	—
1319	C₄×D₄	—	13	1	no	—
1320	C₄×D₄	—	26	1	no	—
1321	C₄×D₄	—	26	1	no	—
1322	C₄×D₄	—	26	1	no	—
1323	C₄×D₄	—	26	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	C₄×D₄	—	26	1	no	—
1335	C₄×D₄	—	26	1	no	—
1336	C₄×D₄	—	26	1	no	—
1337	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1338	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1339	#117	—	13	1	no	—
1340	#117	—	13	1	no	—
1341	#117	—	26	1	no	—
1342	#117	—	26	1	no	—
1343	C₂×C₄⋊C₄	—	13	1	no	—
1344	C₂×C₄⋊C₄	—	13	1	no	—
1345	C₂×C₄⋊C₄	—	13	1	no	—
1346	C₂×C₄⋊C₄	—	13	1	no	—
1347	C₂×C₄⋊C₄	—	26	1	no	—
1348	C₂×C₄⋊C₄	—	26	1	no	—
1349	C₂×C₄⋊C₄	—	26	1	no	—
1350	C₂×C₄⋊C₄	—	26	1	no	—
1351	C₂×C₄⋊C₄	—	26	1	no	—
1352	C₂×C₂²⋊C₄	—	2	1	no	—
1353	C₂×C₂²⋊C₄	—	13	1	no	—
1354	C₂×C₂²⋊C₄	—	13	1	no	—
1355	C₂×C₂²⋊C₄	—	26	1	no	—
1356	C₂×C₂²⋊C₄	—	26	1	no	—
1357	C₂×C₂²⋊C₄	—	26	1	no	—
1358	C₂×C₂²⋊C₄	—	26	1	no	—
1359	C₂×C₂²⋊C₄	—	26	1	no	—
1360	C₂×C₄²	—	13	1	no	—
1361	C₂×C₄²	—	26	1	no	—
1362	#107	—	13	1	no	—
1363	#107	—	13	1	no	—
1364	#107	—	13	1	no	—
1365	#107	—	13	1	no	—
1366	#107	—	13	1	no	—
1367	#107	C₂²×D₁₃	1	1	yes	characteristic
1368	#106	—	13	1	no	—
1369	#106	—	13	1	no	—
1370	C₄⋊C₈	—	13	1	no	—
1371	C₄⋊C₈	—	13	1	no	—
1372	C₄⋊C₈	—	13	1	no	—
1373	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1374	#103	—	13	1	no	—
1375	#103	—	13	1	no	—
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
1385	#103	—	13	1	no	—
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	C₂²×D₁₃	1	1	yes	characteristic
1397	#103	C₂²×D₁₃	1	1	yes	characteristic
1398	#103	C₂²×D₁₃	1	1	yes	characteristic
1399	#103	C₂²×D₁₃	1	1	yes	characteristic
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	C₂²×D₁₃	1	1	yes	characteristic
1405	#102	C₂²×D₁₃	1	1	yes	characteristic
1406	C₂²⋊C₈	—	13	1	no	—
1407	C₂²⋊C₈	—	13	1	no	—
1408	C₂²⋊C₈	—	13	1	no	—
1409	C₂²⋊C₈	—	13	1	no	—
1410	C₂²⋊C₈	—	13	1	no	—
1411	C₂²⋊C₈	—	13	1	no	—
1412	C₂²⋊C₈	—	13	1	no	—
1413	C₂²⋊C₈	—	13	1	no	—
1414	C₂²⋊C₈	—	13	1	no	—
1415	C₂²⋊C₈	—	13	1	no	—
1416	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1417	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1418	#97	—	13	1	no	—
1419	#97	C₂²×D₁₃	1	1	yes	characteristic
1420	C₄×C₈	—	13	1	no	—
1421	C₄×C₈	—	13	1	no	—
1422	C₂×C₁₃	—	2	2	no	—
1423	C₂×C₁₃	—	4	1	no	—
1424	C₂×C₁₃	—	8	1	no	—
1425	C₂×C₁₃	—	8	1	no	—
1426	C₂×C₁₃	#3484	1	1	yes	characteristic
1427	C₂×C₁₃	C₂²×#137	1	1	yes	characteristic
1428	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1429	D₁₃	—	2	2	no	—
1430	D₁₃	—	2	2	no	—
1431	D₁₃	—	4	1	no	—
1432	D₁₃	—	8	1	no	—
1433	C₂⁴	—	2	1	no	—
1434	C₂⁴	—	13	1	no	—
1435	C₂⁴	—	13	1	no	—
1436	C₂⁴	—	26	1	no	—
1437	#41	—	4	1	no	—
1438	#41	—	4	1	no	—
1439	#41	—	52	1	no	—
1440	#41	—	52	1	no	—
1441	#41	—	104	2	no	—
1442	C₂×Q₈	—	2	1	no	—
1443	C₂×Q₈	—	2	1	no	—
1444	C₂×Q₈	—	2	2	no	—
1445	C₂×Q₈	—	2	2	no	—
1446	C₂×Q₈	—	4	1	no	—
1447	C₂×Q₈	—	4	1	no	—
1448	C₂×Q₈	—	13	1	no	—
1449	C₂×Q₈	—	13	1	no	—
1450	C₂×Q₈	—	13	1	no	—
1451	C₂×Q₈	—	26	1	no	—
1452	C₂×Q₈	—	26	1	no	—
1453	C₂×Q₈	—	26	1	no	—
1454	C₂×Q₈	—	26	1	no	—
1455	C₂×Q₈	—	26	1	no	—
1456	C₂×Q₈	—	26	1	no	—
1457	C₂×Q₈	—	26	1	no	—
1458	C₂×Q₈	—	26	1	no	—
1459	C₂×Q₈	—	26	2	no	—
1460	C₂×Q₈	—	26	2	no	—
1461	C₂×Q₈	—	26	2	no	—
1462	C₂×Q₈	—	26	2	no	—
1463	C₂×Q₈	—	26	1	no	—
1464	C₂×Q₈	—	26	1	no	—
1465	C₂×Q₈	—	26	2	no	—
1466	C₂×Q₈	—	26	2	no	—
1467	C₂×Q₈	—	26	2	no	—
1468	C₂×Q₈	—	26	2	no	—
1469	C₂×Q₈	—	52	1	no	—
1470	C₂×Q₈	—	52	1	no	—
1471	C₂×Q₈	—	52	4	no	—
1472	C₂×Q₈	—	52	4	no	—
1473	C₂×Q₈	—	52	1	no	—
1474	C₂×Q₈	—	52	1	no	—
1475	C₂×Q₈	—	52	1	no	—
1476	C₂×Q₈	—	52	1	no	—
1477	C₂×Q₈	—	52	1	no	—
1478	C₂×Q₈	—	52	1	no	—
1479	C₂×Q₈	—	52	1	no	—
1480	C₂×Q₈	—	52	1	no	—
1481	C₂×Q₈	—	52	4	no	—
1482	C₂×Q₈	—	52	4	no	—
1483	C₂×Q₈	—	52	4	no	—
1484	C₂×Q₈	—	52	4	no	—
1485	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1487	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1488	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	4	1	no	—
1493	C₂×D₄	—	4	1	no	—
1494	C₂×D₄	—	13	1	no	—
1495	C₂×D₄	—	13	1	no	—
1496	C₂×D₄	—	13	1	no	—
1497	C₂×D₄	—	13	1	no	—
1498	C₂×D₄	—	26	1	no	—
1499	C₂×D₄	—	26	1	no	—
1500	C₂×D₄	—	26	1	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	4	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	52	1	no	—
1512	C₂×D₄	—	52	1	no	—
1513	C₂×D₄	—	52	4	no	—
1514	C₂×D₄	—	104	2	no	—
1515	C₂×D₄	—	104	2	no	—
1516	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1517	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1518	C₂×D₄	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	—	13	1	no	—
1524	C₂²×C₄	—	13	1	no	—
1525	C₂²×C₄	—	13	1	no	—
1526	C₂²×C₄	—	13	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	—	13	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	—	52	1	no	—
1550	C₂²×C₄	—	52	1	no	—
1551	C₂²×C₄	—	52	1	no	—
1552	C₂²×C₄	—	52	1	no	—
1553	C₂²×C₄	—	52	4	no	—
1554	C₂²×C₄	—	52	4	no	—
1555	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1556	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1557	Q₁₆	—	2	2	no	—
1558	Q₁₆	—	4	1	no	—
1559	Q₁₆	—	4	1	no	—
1560	Q₁₆	—	26	2	no	—
1561	Q₁₆	—	52	1	no	—
1562	Q₁₆	—	52	1	no	—
1563	SD₁₆	—	2	2	no	—
1564	SD₁₆	—	2	2	no	—
1565	SD₁₆	—	4	1	no	—
1566	SD₁₆	—	4	1	no	—
1567	SD₁₆	—	4	1	no	—
1568	SD₁₆	—	4	1	no	—
1569	SD₁₆	—	26	2	no	—
1570	SD₁₆	—	26	2	no	—
1571	SD₁₆	—	26	2	no	—
1572	SD₁₆	—	26	2	no	—
1573	SD₁₆	—	52	1	no	—
1574	SD₁₆	—	52	1	no	—
1575	SD₁₆	—	52	1	no	—
1576	SD₁₆	—	52	1	no	—
1577	SD₁₆	—	52	1	no	—
1578	SD₁₆	—	52	1	no	—
1579	SD₁₆	—	52	1	no	—
1580	SD₁₆	—	52	1	no	—
1581	M₁₆	—	4	1	no	—
1582	M₁₆	—	52	1	no	—
1583	M₁₆	—	52	1	no	—
1584	M₁₆	—	52	1	no	—
1585	C₂×C₈	—	4	1	no	—
1586	C₂×C₈	—	13	1	no	—
1587	C₂×C₈	—	13	1	no	—
1588	C₂×C₈	—	13	1	no	—
1589	C₂×C₈	—	13	1	no	—
1590	C₂×C₈	—	52	1	no	—
1591	C₂×C₈	—	52	1	no	—
1592	C₂×C₈	—	52	1	no	—
1593	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1594	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1595	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1596	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	13	1	no	—
1604	C₄⋊C₄	—	13	1	no	—
1605	C₄⋊C₄	—	13	1	no	—
1606	C₄⋊C₄	—	13	1	no	—
1607	C₄⋊C₄	—	13	1	no	—
1608	C₄⋊C₄	—	13	1	no	—
1609	C₄⋊C₄	—	13	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	—	26	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1635	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1636	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	13	1	no	—
1645	C₂²⋊C₄	—	13	1	no	—
1646	C₂²⋊C₄	—	13	1	no	—
1647	C₂²⋊C₄	—	13	1	no	—
1648	C₂²⋊C₄	—	13	1	no	—
1649	C₂²⋊C₄	—	13	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1671	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1672	C₄²	—	2	1	no	—
1673	C₄²	—	13	1	no	—
1674	C₄²	—	13	1	no	—
1675	C₄²	—	13	1	no	—
1676	C₄²	—	26	1	no	—
1677	C₄²	—	26	1	no	—
1678	C₄²	—	26	1	no	—
1679	C₄²	—	26	1	no	—
1680	C₄²	—	26	1	no	—
1681	C₄²	—	26	1	no	—
1682	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1683	C₁₃	#61593	1	1	yes	characteristic, complemented, Sylow
1684	C₂³	—	2	1	no	—
1685	C₂³	—	2	1	no	—
1686	C₂³	—	4	2	no	—
1687	C₂³	—	8	1	no	—
1688	C₂³	—	8	1	no	—
1689	C₂³	—	13	1	no	—
1690	C₂³	—	13	1	no	—
1691	C₂³	—	13	1	no	—
1692	C₂³	—	26	2	no	—
1693	C₂³	—	26	2	no	—
1694	C₂³	—	26	2	no	—
1695	C₂³	—	26	2	no	—
1696	C₂³	—	26	1	no	—
1697	C₂³	—	52	1	no	—
1698	C₂³	—	52	1	no	—
1699	C₂³	—	52	2	no	—
1700	C₂³	—	104	1	no	—
1701	C₂³	—	104	1	no	—
1702	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1703	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	2	1	no	—
1709	Q₈	—	2	1	no	—
1710	Q₈	—	2	1	no	—
1711	Q₈	—	4	2	no	—
1712	Q₈	—	4	2	no	—
1713	Q₈	—	13	2	no	—
1714	Q₈	—	26	4	no	—
1715	Q₈	—	26	1	no	—
1716	Q₈	—	26	1	no	—
1717	Q₈	—	26	1	no	—
1718	Q₈	—	26	1	no	—
1719	Q₈	—	26	1	no	—
1720	Q₈	—	52	2	no	—
1721	Q₈	—	52	2	no	—
1722	Q₈	—	52	2	no	—
1723	Q₈	—	52	2	no	—
1724	Q₈	—	52	2	no	—
1725	Q₈	—	52	2	no	—
1726	Q₈	—	52	2	no	—
1727	Q₈	—	52	2	no	—
1728	Q₈	—	104	1	no	—
1729	Q₈	#88251	1	2	yes	—
1730	D₄	—	2	2	no	—
1731	D₄	—	2	1	no	—
1732	D₄	—	2	1	no	—
1733	D₄	—	2	1	no	—
1734	D₄	—	2	1	no	—
1735	D₄	—	8	1	no	—
1736	D₄	—	8	1	no	—
1737	D₄	—	8	1	no	—
1738	D₄	—	13	4	no	—
1739	D₄	—	26	2	no	—
1740	D₄	—	26	2	no	—
1741	D₄	—	26	1	no	—
1742	D₄	—	26	1	no	—
1743	D₄	—	52	2	no	—
1744	D₄	—	52	2	no	—
1745	D₄	—	52	2	no	—
1746	D₄	—	52	2	no	—
1747	D₄	—	52	2	no	—
1748	D₄	—	52	2	no	—
1749	D₄	—	104	1	no	—
1750	D₄	—	104	1	no	—
1751	D₄	—	104	1	no	—
1752	D₄	—	104	1	no	—
1753	D₄	—	104	1	no	—
1754	D₄	—	104	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	4	2	no	—
1766	C₂×C₄	—	4	2	no	—
1767	C₂×C₄	—	8	1	no	—
1768	C₂×C₄	—	8	1	no	—
1769	C₂×C₄	—	13	1	no	—
1770	C₂×C₄	—	13	1	no	—
1771	C₂×C₄	—	13	1	no	—
1772	C₂×C₄	—	13	1	no	—
1773	C₂×C₄	—	13	1	no	—
1774	C₂×C₄	—	26	2	no	—
1775	C₂×C₄	—	26	2	no	—
1776	C₂×C₄	—	26	4	no	—
1777	C₂×C₄	—	26	1	no	—
1778	C₂×C₄	—	26	1	no	—
1779	C₂×C₄	—	26	1	no	—
1780	C₂×C₄	—	26	1	no	—
1781	C₂×C₄	—	26	1	no	—
1782	C₂×C₄	—	26	1	no	—
1783	C₂×C₄	—	26	1	no	—
1784	C₂×C₄	—	26	1	no	—
1785	C₂×C₄	—	26	1	no	—
1786	C₂×C₄	—	26	1	no	—
1787	C₂×C₄	—	26	1	no	—
1788	C₂×C₄	—	26	1	no	—
1789	C₂×C₄	—	26	1	no	—
1790	C₂×C₄	—	52	1	no	—
1791	C₂×C₄	—	52	1	no	—
1792	C₂×C₄	—	52	1	no	—
1793	C₂×C₄	—	52	1	no	—
1794	C₂×C₄	—	52	2	no	—
1795	C₂×C₄	—	52	2	no	—
1796	C₂×C₄	—	52	2	no	—
1797	C₂×C₄	—	52	2	no	—
1798	C₂×C₄	—	52	2	no	—
1799	C₂×C₄	—	52	2	no	—
1800	C₂×C₄	—	52	2	no	—
1801	C₂×C₄	—	52	2	no	—
1802	C₂×C₄	—	52	1	no	—
1803	C₂×C₄	—	52	1	no	—
1804	C₂×C₄	—	52	2	no	—
1805	C₂×C₄	—	52	2	no	—
1806	C₂×C₄	—	104	1	no	—
1807	C₂×C₄	—	104	1	no	—
1808	C₂×C₄	—	104	1	no	—
1809	C₂×C₄	—	104	1	no	—
1810	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1811	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1812	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1813	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1814	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1815	C₈	—	2	1	no	—
1816	C₈	—	2	1	no	—
1817	C₈	—	2	1	no	—
1818	C₈	—	2	1	no	—
1819	C₈	—	26	1	no	—
1820	C₈	—	26	1	no	—
1821	C₈	—	26	1	no	—
1822	C₈	—	26	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	4	1	no	—
1829	C₂²	—	4	1	no	—
1830	C₂²	—	4	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	13	2	no	—
1835	C₂²	—	13	2	no	—
1836	C₂²	—	16	2	no	—
1837	C₂²	—	26	1	no	—
1838	C₂²	—	26	1	no	—
1839	C₂²	—	26	1	no	—
1840	C₂²	—	26	1	no	—
1841	C₂²	—	26	1	no	—
1842	C₂²	—	26	1	no	—
1843	C₂²	—	26	1	no	—
1844	C₂²	—	52	4	no	—
1845	C₂²	—	52	4	no	—
1846	C₂²	—	52	1	no	—
1847	C₂²	—	52	1	no	—
1848	C₂²	—	52	1	no	—
1849	C₂²	—	208	2	no	—
1850	C₂²	D₁₃×#137	1	2	yes	—
1851	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1852	C₄	—	2	1	no	—
1853	C₄	—	2	1	no	—
1854	C₄	—	2	2	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	4	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	4	1	no	—
1862	C₄	—	13	2	no	—
1863	C₄	—	26	1	no	—
1864	C₄	—	26	1	no	—
1865	C₄	—	26	1	no	—
1866	C₄	—	26	2	no	—
1867	C₄	—	26	1	no	—
1868	C₄	—	52	1	no	—
1869	C₄	—	52	1	no	—
1870	C₄	—	52	1	no	—
1871	C₄	—	52	1	no	—
1872	C₄	—	52	1	no	—
1873	C₄	—	52	1	no	—
1874	C₄	C₂×#88251	1	1	yes	characteristic
1875	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1876	C₂	—	2	2	no	—
1877	C₂	—	4	1	no	—
1878	C₂	—	8	1	no	—
1879	C₂	—	8	1	no	—
1880	C₂	—	26	2	no	—
1881	C₂	—	26	2	no	—
1882	C₂	—	52	1	no	—
1883	C₂	—	104	1	no	—
1884	C₂	#13128464	1	1	yes	characteristic
1885	C₂	C₂×D₁₃×#137	1	1	yes	characteristic
1886	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×#3266	C₂
socle	C₂²×C₁₃	C₂³×D₄
prime radical	#13128865	C₂
hypercenter	#3266	D₁₃
hypocenter	C₁₃	#61593
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3266

Complements

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

N	H ≅ G/N	type
2. D₄×Q₈×D₁₃	C₂	semidirect
3. #13127125	C₂	semidirect
4. #13127123	C₂	semidirect
5. #13127014	C₂	semidirect
6. #13127012	C₂	semidirect
7. #13127009	C₂	semidirect
8. #13127007	C₂	semidirect
9. #13126707	C₂	semidirect
10. #13126705	C₂	semidirect
11. #13126530	C₂	semidirect
12. SD₁₆×C₂²⋊D₁₃	C₂	semidirect
13. #13126496	C₂	semidirect
14. #13126495	C₂	semidirect
15. #13126345	C₂	semidirect
16. #13126342	C₂	semidirect
17. #13126341	C₂	semidirect
18. #13125859	C₂	semidirect
19. #13125760	C₂	semidirect
20. #13125639	C₂	semidirect
21. #13125637	C₂	semidirect
22. #13125618	C₂	semidirect
23. #13125615	C₂	semidirect
24. #13124956	C₂	semidirect
25. #13124915	C₂	semidirect
26. #13124071	C₂	semidirect
27. #13124068	C₂	semidirect
28. C₂×#11718831	C₂	semidirect
29. D₁₃×#448	C₂	semidirect
30. #13123866	C₂	semidirect
31. C₁₃×#3266	C₂	semidirect
32. C₂²×Q₈×D₁₃	C₂²	semidirect
33. C₂²×Q₈×D₁₃	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂²×C₁₃×SD₁₆	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
40. C₂×#88205	C₂²	semidirect
42. Q₈×C₂²⋊D₁₃	C₂²	semidirect
45. C₂²×#6105	C₂²	semidirect
46. C₂×#88172	C₂²	semidirect
47. C₂×#88172	C₂²	semidirect
48. C₂×SD₁₆×D₁₃	C₂²	semidirect
49. C₂×SD₁₆×D₁₃	C₂²	semidirect
51. #11719432	C₂²	semidirect
53. D₁₃×C₄⋊Q₈	C₂²	semidirect
62. #11719337	C₂²	semidirect
66. D₁₃×C₂²⋊Q₈	C₂²	semidirect
67. D₁₃×C₂²⋊Q₈	C₂²	semidirect
74. Q₈×D₅₂	C₂²	semidirect
75. C₄×Q₈×D₁₃	C₂²	semidirect
82. D₄×Dic₂₆	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
86. C₁₃×#468	C₂²	semidirect
87. C₁₃×#467	C₂²	semidirect
88. C₁₃×#464	C₂²	semidirect
89. C₁₃×#461	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
92. C₁₃×#450	C₂²	semidirect
93. C₁₃×#448	C₂²	semidirect
94. C₁₃×#440	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
96. #11718900	C₂²	semidirect
97. #11718888	C₂²	semidirect
98. #11718888	C₂²	semidirect
99. #11718886	C₂²	semidirect
100. C₂×#88075	C₂²	semidirect
101. #11718879	C₂²	semidirect
102. #11718849	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718847	C₂²	semidirect
105. #11718847	C₂²	semidirect
106. #11718847	C₂²	semidirect
107. #11718847	C₂²	semidirect
108. #11718847	C₂²	semidirect
109. Q₁₆×Dic₁₃	C₂²	semidirect
110. #11718843	C₂²	semidirect
111. #11718843	C₂²	semidirect
112. #11718836	C₂²	semidirect
113. #11718836	C₂²	semidirect
114. #11718835	C₂²	semidirect
115. #11718835	C₂²	semidirect
116. #11718832	C₂²	semidirect
120. #11718831	C₂²	semidirect
121. #11718831	C₂²	semidirect
122. #11718831	C₂²	semidirect
123. #11718831	C₂²	semidirect
124. #11718831	C₂²	semidirect
125. #11718831	C₂²	semidirect
126. #11718831	C₂²	semidirect
127. #11718831	C₂²	semidirect
128. #11718831	C₂²	semidirect
129. #11718830	C₂²	semidirect
130. #11718824	C₂²	semidirect
131. #11718823	C₂²	semidirect
132. #11718823	C₂²	semidirect
133. SD₁₆×Dic₁₃	C₂²	semidirect
134. #11718795	C₂²	semidirect
135. #11718789	C₂²	semidirect
136. #11718787	C₂²	semidirect
137. #11718781	C₂²	semidirect
138. #11718775	C₂²	semidirect
140. C₂×#88060	C₂²	semidirect
141. C₂×#88056	C₂²	semidirect
142. #11718744	C₂²	semidirect
143. #11718743	C₂²	semidirect
144. #11718721	C₂²	semidirect
145. #11718715	C₂²	semidirect
146. #11718712	C₂²	semidirect
147. #11718711	C₂²	semidirect
148. #11718710	C₂²	semidirect
149. #11718709	C₂²	semidirect
150. #11718706	C₂²	semidirect
151. #11718705	C₂²	semidirect
152. #11718703	C₂²	semidirect
153. #11718701	C₂²	semidirect
154. #11718687	C₂²	semidirect
155. #11718683	C₂²	semidirect
156. #11718680	C₂²	semidirect
157. #11718679	C₂²	semidirect
158. #11718672	C₂²	semidirect
159. #11718549	C₂²	semidirect
160. #11718545	C₂²	semidirect
161. #11718543	C₂²	semidirect
162. #11718536	C₂²	semidirect
163. #11718502	C₂²	semidirect
164. #11718497	C₂²	semidirect
165. #11718494	C₂²	semidirect
166. #11718490	C₂²	semidirect
167. #11718476	C₂²	semidirect
168. #11718474	C₂²	semidirect
169. #11718471	C₂²	semidirect
170. #11718470	C₂²	semidirect
171. #11718467	C₂²	semidirect
172. #11718467	C₂²	semidirect
173. #11718467	C₂²	semidirect
174. #11718466	C₂²	semidirect
175. #11718463	C₂²	semidirect
176. #11718463	C₂²	semidirect
177. D₁₃×#103	C₂²	semidirect
178. D₁₃×#103	C₂²	semidirect
179. #11718455	C₂²	semidirect
180. #11718453	C₂²	semidirect
181. #11718453	C₂²	semidirect
182. #11718451	C₂²	semidirect
183. #11718441	C₂²	semidirect
184. #11718441	C₂²	semidirect
185. #11718439	C₂²	semidirect
186. #11718437	C₂²	semidirect
188. #11718435	C₂²	semidirect
189. #11718423	C₂²	semidirect
190. #11718419	C₂²	semidirect
191. #11718399	C₂²	semidirect
192. #11718399	C₂²	semidirect
193. #11718390	C₂²	semidirect
194. #11718387	C₂²	semidirect
196. D₁₃×C₂²⋊C₈	C₂²	semidirect
197. #11718384	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718371	C₂²	semidirect
200. #11718367	C₂²	semidirect
201. #11718366	C₂²	semidirect
202. #11718364	C₂²	semidirect
758. #3266	D₁₃	semidirect
840. C₂²⋊D₁₃	#137	semidirect
916. C₂×#137	C₂×D₁₃	semidirect
920. C₂²×SD₁₆	C₂×D₁₃	semidirect
938. D₄×Q₈	C₂×D₁₃	semidirect
965. #497	C₂×D₁₃	semidirect
995. #468	C₂×D₁₃	semidirect
999. #467	C₂×D₁₃	semidirect
1005. #464	C₂×D₁₃	semidirect
1013. #461	C₂×D₁₃	semidirect
1019. #452	C₂×D₁₃	semidirect
1026. #451	C₂×D₁₃	semidirect
1030. #450	C₂×D₁₃	semidirect
1051. #448	C₂×D₁₃	semidirect
1055. #440	C₂×D₁₃	semidirect
1065. #435	C₂×D₁₃	semidirect
1683. C₁₃	#61593	semidirect

Maximal subgroups

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

subgroup	index
#13128865	2
D₄×Q₈×D₁₃	2
#13127125	2
#13127123	2
#13127014	2
#13127012	2
#13127009	2
#13127007	2
#13126707	2
#13126705	2
#13126530	2
SD₁₆×C₂²⋊D₁₃	2
#13126496	2
#13126495	2
#13126345	2
#13126342	2
#13126341	2
#13125859	2
#13125760	2
#13125639	2
#13125637	2
#13125618	2
#13125615	2
#13124956	2
#13124915	2
#13124071	2
#13124068	2
C₂×#11718831	2
D₁₃×#448	2
#13123866	2
C₁₃×#3266	2
#61593	13