Subgroups — #16747883

Order 3328.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 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, complemented
2	D₄×#6131	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127015	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127007	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126987	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126979	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126951	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126923	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126847	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126819	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126415	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126379	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126371	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126360	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126331	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126320	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126317	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125870	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125830	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125677	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125651	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125630	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125604	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124985	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124944	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124087	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124077	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124059	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718833	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123861	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#6131	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, complemented
39	#11719533	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
41	#11719522	C₂²	1	1	yes	characteristic
42	#11719522	C₂²	1	1	yes	characteristic, complemented
43	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
50	#11719431	—	2	1	no	—
51	#11719431	C₂²	1	1	yes	characteristic, complemented
52	#11719430	—	2	1	no	—
53	#11719430	C₂²	1	1	yes	characteristic, complemented
54	#11719385	C₂²	1	1	yes	characteristic, complemented
55	#11719381	C₂²	1	1	yes	characteristic, complemented
56	#11719366	—	2	1	no	—
57	#11719362	—	2	1	no	—
58	#11719340	C₂²	1	1	yes	characteristic, complemented
59	#11719335	—	2	1	no	—
60	#11719335	—	2	1	no	—
61	#11719335	C₂²	1	1	yes	characteristic
62	#11719335	C₂²	1	1	yes	characteristic, complemented
63	#11719332	—	2	1	no	—
64	#11719332	—	2	1	no	—
65	#11719332	C₂²	1	1	yes	characteristic, complemented
66	#11719332	C₂²	1	1	yes	characteristic, complemented
67	#11719332	C₂²	1	1	yes	characteristic, complemented
68	#11719321	C₂²	1	1	yes	characteristic, complemented
69	#11719320	—	2	1	no	—
70	#11719317	—	2	1	no	—
71	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
72	#11719298	—	2	1	no	—
73	#11719295	—	2	1	no	—
74	#11719282	C₂²	1	1	yes	characteristic, complemented
75	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
76	#11719270	C₂²	1	1	yes	characteristic
77	#11719263	C₂²	1	1	yes	characteristic, complemented
78	D₄×D₅₂	—	2	1	no	—
79	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
80	#11719253	C₂²	1	1	yes	characteristic, complemented
81	C₄×D₄×D₁₃	—	2	1	no	—
82	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
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	#11718899	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	#11718878	C₂²	1	1	yes	characteristic, complemented
102	#11718850	C₂²	1	1	yes	characteristic, complemented
103	#11718848	C₂²	1	1	yes	characteristic, complemented
104	#11718848	C₂²	1	1	yes	characteristic, complemented
105	#11718848	C₂²	1	1	yes	characteristic, complemented
106	#11718848	C₂²	1	1	yes	characteristic, complemented
107	#11718848	C₂²	1	1	yes	characteristic, complemented
108	#11718848	C₂²	1	1	yes	characteristic, complemented
109	#11718846	C₂²	1	1	yes	characteristic, complemented
110	#11718846	C₂²	1	1	yes	characteristic, complemented
111	#11718845	C₂²	1	1	yes	characteristic, complemented
112	#11718837	C₂²	1	1	yes	characteristic, complemented
113	#11718837	C₂²	1	1	yes	characteristic, complemented
114	#11718835	C₂²	1	1	yes	characteristic, complemented
115	#11718833	C₂²	1	1	yes	characteristic
116	#11718833	C₂²	1	1	yes	characteristic, complemented
117	#11718833	C₂²	1	1	yes	characteristic, complemented
118	#11718833	C₂²	1	1	yes	characteristic, complemented
119	#11718833	C₂²	1	1	yes	characteristic, complemented
120	#11718833	C₂²	1	1	yes	characteristic, complemented
121	#11718833	C₂²	1	1	yes	characteristic, complemented
122	#11718833	C₂²	1	1	yes	characteristic, complemented
123	#11718833	C₂²	1	1	yes	characteristic, complemented
124	#11718833	C₂²	1	1	yes	characteristic, complemented
125	#11718833	C₂²	1	1	yes	characteristic, complemented
126	#11718833	C₂²	1	1	yes	characteristic, complemented
127	#11718832	C₂²	1	1	yes	characteristic, complemented
128	#11718832	C₂²	1	1	yes	characteristic, complemented
129	#11718830	C₂²	1	1	yes	characteristic, complemented
130	#11718826	C₂²	1	1	yes	characteristic, complemented
131	#11718826	C₂²	1	1	yes	characteristic, complemented
132	#11718825	C₂²	1	1	yes	characteristic, complemented
133	#11718824	C₂²	1	1	yes	characteristic, complemented
134	#11718796	C₂²	1	1	yes	characteristic, complemented
135	#11718792	C₂²	1	1	yes	characteristic, complemented
136	#11718788	C₂²	1	1	yes	characteristic, complemented
137	#11718787	C₂²	1	1	yes	characteristic, complemented
138	#11718776	C₂²	1	1	yes	characteristic, complemented
139	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
140	#11718772	C₂²	1	1	yes	characteristic, complemented
141	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
142	#11718744	C₂²	1	1	yes	characteristic, complemented
143	#11718743	C₂²	1	1	yes	characteristic, complemented
144	#11718719	C₂²	1	1	yes	characteristic, complemented
145	#11718718	C₂²	1	1	yes	characteristic, complemented
146	#11718710	C₂²	1	1	yes	characteristic, complemented
147	#11718709	C₂²	1	1	yes	characteristic, complemented
148	#11718709	C₂²	1	1	yes	characteristic, complemented
149	#11718707	C₂²	1	1	yes	characteristic, complemented
150	#11718706	C₂²	1	1	yes	characteristic, complemented
151	#11718705	C₂²	1	1	yes	characteristic, complemented
152	#11718700	C₂²	1	1	yes	characteristic, complemented
153	#11718697	C₂²	1	1	yes	characteristic, complemented
154	#11718687	C₂²	1	1	yes	characteristic, complemented
155	#11718683	C₂²	1	1	yes	characteristic, complemented
156	#11718676	C₂²	1	1	yes	characteristic, complemented
157	#11718675	C₂²	1	1	yes	characteristic, complemented
158	#11718672	C₂²	1	1	yes	characteristic, complemented
159	#11718551	C₂²	1	1	yes	characteristic, complemented
160	#11718546	C₂²	1	1	yes	characteristic, complemented
161	#11718546	C₂²	1	1	yes	characteristic, complemented
162	#11718543	C₂²	1	1	yes	characteristic, complemented
163	#11718508	C₂²	1	1	yes	characteristic, complemented
164	#11718504	C₂²	1	1	yes	characteristic, complemented
165	#11718497	C₂²	1	1	yes	characteristic, complemented
166	#11718496	C₂²	1	1	yes	characteristic, complemented
167	#11718478	C₂²	1	1	yes	characteristic, complemented
168	#11718475	C₂²	1	1	yes	characteristic, complemented
169	#11718475	C₂²	1	1	yes	characteristic, complemented
170	#11718473	C₂²	1	1	yes	characteristic, complemented
171	#11718472	C₂²	1	1	yes	characteristic, complemented
172	#11718472	C₂²	1	1	yes	characteristic, complemented
173	#11718472	C₂²	1	1	yes	characteristic, complemented
174	#11718472	C₂²	1	1	yes	characteristic, complemented
175	#11718466	C₂²	1	1	yes	characteristic, complemented
176	#11718465	C₂²	1	1	yes	characteristic, complemented
177	#11718465	C₂²	1	1	yes	characteristic, complemented
178	#11718464	C₂²	1	1	yes	characteristic, complemented
179	#11718464	C₂²	1	1	yes	characteristic, complemented
180	#11718456	C₂²	1	1	yes	characteristic, complemented
181	#11718456	C₂²	1	1	yes	characteristic, complemented
182	#11718452	C₂²	1	1	yes	characteristic, complemented
183	#11718447	C₂²	1	1	yes	characteristic, complemented
184	#11718446	C₂²	1	1	yes	characteristic, complemented
185	#11718443	C₂²	1	1	yes	characteristic, complemented
186	#11718440	C₂²	1	1	yes	characteristic, complemented
187	#11718440	C₂²	1	1	yes	characteristic, complemented
188	#11718436	C₂²	1	1	yes	characteristic, complemented
189	#11718436	C₂²	1	1	yes	characteristic, complemented
190	#11718434	C₂²	1	1	yes	characteristic, complemented
191	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718396	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718393	C₂²	1	1	yes	characteristic, complemented
195	#11718391	C₂²	1	1	yes	characteristic, complemented
196	#11718389	C₂²	1	1	yes	characteristic, complemented
197	#11718387	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#11718374	C₂²	1	1	yes	characteristic, complemented
200	#11718372	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	#11718366	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	—	2	1	no	—
210	C₂×#6131	—	2	1	no	—
211	C₂×#6131	—	2	1	no	—
212	C₂×#6131	—	2	1	no	—
213	C₂×#6131	—	4	2	no	—
214	C₂×#6131	—	4	2	no	—
215	C₂×#6131	—	4	2	no	—
216	C₂×#6131	—	4	2	no	—
217	C₂×#6131	C₂³	1	1	yes	characteristic
218	C₂×#6131	C₂³	1	1	yes	characteristic
219	C₂×#6131	C₂³	1	1	yes	characteristic
220	C₂×#6131	C₂³	1	1	yes	characteristic
221	C₂×#6131	C₂³	1	1	yes	characteristic
222	C₂×#6131	C₂³	1	1	yes	characteristic
223	C₂×#6131	C₂³	1	1	yes	characteristic
224	C₂×#6131	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	—	2	1	no	—
226	C₂×D₄×D₁₃	—	2	1	no	—
227	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×#6127	—	2	1	no	—
230	C₂²×D₅₂	—	2	1	no	—
231	C₂²×D₅₂	—	2	1	no	—
232	C₂²×D₅₂	C₂³	1	1	yes	characteristic
233	C₂²×D₅₂	C₂³	1	1	yes	characteristic
234	C₂²×C₄×D₁₃	—	2	1	no	—
235	C₂²×C₄×D₁₃	—	2	1	no	—
236	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
238	C₁₃×#137	—	4	2	no	—
239	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×SD₁₆	—	4	2	no	—
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×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
250	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₁₃×C₄⋊Q₈	—	2	1	no	—
252	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
253	C₁₃×#124	C₂³	1	1	yes	characteristic
254	C₁₃×#123	—	2	1	no	—
255	C₁₃×C₂²⋊Q₈	—	2	1	no	—
256	C₁₃×C₂²⋊Q₈	—	2	1	no	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
258	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
259	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
260	C₁₃×#121	—	2	1	no	—
261	C₁₃×#121	C₂³	1	1	yes	characteristic
262	C₁₃×#120	—	2	1	no	—
263	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
268	#88207	—	2	1	no	—
269	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
270	#88203	—	4	2	no	—
271	#88201	—	2	1	no	—
272	#88201	—	2	1	no	—
273	#88201	C₂³	1	1	yes	characteristic
274	#88201	C₂³	1	1	yes	characteristic
275	#88200	—	2	1	no	—
276	#88200	—	2	1	no	—
277	#88200	C₂³	1	1	yes	characteristic
278	#88200	C₂³	1	1	yes	characteristic
279	#88200	C₂³	1	1	yes	characteristic
280	#88200	C₂³	1	1	yes	characteristic
281	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
282	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×#6106	C₂³	1	1	yes	characteristic
284	C₂×#6106	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	C₂×#6106	C₂³	1	1	yes	characteristic
289	#88194	—	2	1	no	—
290	#88194	C₂³	1	1	yes	characteristic
291	#88193	—	2	1	no	—
292	#88193	—	2	1	no	—
293	#88193	—	2	1	no	—
294	#88193	—	2	1	no	—
295	#88192	—	2	1	no	—
296	#88192	—	2	1	no	—
297	#88192	—	2	1	no	—
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	#88192	C₂³	1	1	yes	characteristic
303	#88191	—	2	1	no	—
304	#88191	—	2	1	no	—
305	#88190	—	2	1	no	—
306	#88189	—	2	1	no	—
307	D₄×Dic₁₃	D₄	1	1	yes	characteristic
308	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×#6104	—	4	2	no	—
310	C₂×#6104	C₂³	1	1	yes	characteristic
311	C₂×#6104	C₂³	1	1	yes	characteristic
312	C₂×#6104	C₂³	1	1	yes	characteristic
313	C₂×#6104	C₂³	1	1	yes	characteristic
314	C₂×#6104	C₂³	1	1	yes	characteristic
315	C₂×#6104	C₂³	1	1	yes	characteristic
316	#88184	—	2	1	no	—
317	#88184	—	2	1	no	—
318	#88184	—	2	1	no	—
319	#88184	C₂³	1	1	yes	characteristic
320	#88184	C₂³	1	1	yes	characteristic
321	#88184	C₂³	1	1	yes	characteristic
322	#88184	C₂³	1	1	yes	characteristic
323	#88183	—	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	—	2	1	no	—
328	C₄×C₂²⋊D₁₃	—	2	1	no	—
329	C₄×C₂²⋊D₁₃	—	2	1	no	—
330	C₄×C₂²⋊D₁₃	—	2	1	no	—
331	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
332	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
333	#88180	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
335	C₂×#6099	C₂³	1	1	yes	characteristic
336	C₂²×#1055	C₂³	1	1	yes	characteristic
337	#88173	—	4	2	no	—
338	#88173	—	4	2	no	—
339	#88168	—	4	2	no	—
340	#88168	—	4	2	no	—
341	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
342	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
343	C₂×D₁₀₄	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	#88149	—	2	1	no	—
351	#88149	—	2	1	no	—
352	#88149	—	2	1	no	—
353	#88149	—	2	1	no	—
354	#88149	—	2	1	no	—
355	#88149	—	2	1	no	—
356	#88149	—	2	1	no	—
357	#88149	—	2	1	no	—
358	#88149	C₂³	1	1	yes	characteristic
359	#88149	C₂³	1	1	yes	characteristic
360	#88149	C₂³	1	1	yes	characteristic
361	#88148	—	2	1	no	—
362	#88148	—	2	1	no	—
363	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88148	—	2	1	no	—
366	#88148	—	2	1	no	—
367	#88148	—	2	1	no	—
368	#88147	—	2	1	no	—
369	#88147	—	2	1	no	—
370	#88147	—	2	1	no	—
371	#88147	—	2	1	no	—
372	#88147	—	2	1	no	—
373	#88147	—	2	1	no	—
374	#88147	D₄	1	1	yes	characteristic
375	#88147	C₂³	1	1	yes	characteristic
376	#88146	—	2	1	no	—
377	#88146	C₂³	1	1	yes	characteristic
378	#88146	C₂³	1	1	yes	characteristic
379	C₄⋊C₄×D₁₃	—	2	1	no	—
380	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
381	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
382	#88143	—	2	1	no	—
383	#88142	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	#88136	—	2	1	no	—
396	#88136	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88136	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	#88135	—	2	1	no	—
405	#88135	—	2	1	no	—
406	#88135	—	2	1	no	—
407	#88135	D₄	1	1	yes	characteristic
408	#88135	D₄	1	1	yes	characteristic
409	C₂²⋊C₄×D₁₃	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	C₂²⋊C₄×D₁₃	—	2	1	no	—
412	C₂²⋊C₄×D₁₃	—	2	1	no	—
413	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
414	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
415	#88133	—	2	1	no	—
416	#88133	—	2	1	no	—
417	#88132	—	2	1	no	—
418	#88131	—	2	1	no	—
419	#88131	—	2	1	no	—
420	#88128	—	2	1	no	—
421	#88128	C₂³	1	1	yes	characteristic
422	C₄×D₅₂	—	2	1	no	—
423	C₄×D₅₂	—	2	1	no	—
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	C₄×D₅₂	C₂³	1	1	yes	characteristic
426	C₄×D₅₂	C₂³	1	1	yes	characteristic
427	C₄²×D₁₃	—	2	1	no	—
428	C₄²×D₁₃	C₂³	1	1	yes	characteristic
429	#88124	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	#88061	C₂³	1	1	yes	characteristic
457	#88061	C₂³	1	1	yes	characteristic
458	#88061	C₂³	1	1	yes	characteristic
459	#88061	C₂³	1	1	yes	characteristic
460	#88061	C₂³	1	1	yes	characteristic
461	#88061	C₂³	1	1	yes	characteristic
462	#88061	C₂³	1	1	yes	characteristic
463	#88061	C₂³	1	1	yes	characteristic
464	#88061	C₂³	1	1	yes	characteristic
465	#88060	C₂³	1	1	yes	characteristic
466	#88060	C₂³	1	1	yes	characteristic
467	#88060	C₂³	1	1	yes	characteristic
468	#88060	C₂³	1	1	yes	characteristic
469	#88060	C₂³	1	1	yes	characteristic
470	#88060	C₂³	1	1	yes	characteristic
471	#88060	C₂³	1	1	yes	characteristic
472	#88060	C₂³	1	1	yes	characteristic
473	#88058	C₂³	1	1	yes	characteristic
474	#88057	C₂³	1	1	yes	characteristic
475	#88057	C₂³	1	1	yes	characteristic
476	#88055	C₂³	1	1	yes	characteristic
477	#88055	C₂³	1	1	yes	characteristic
478	#88054	C₂³	1	1	yes	characteristic
479	#88054	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic
482	#88049	C₂³	1	1	yes	characteristic
483	#88049	C₂³	1	1	yes	characteristic
484	#88048	C₂³	1	1	yes	characteristic
485	#88048	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	#61579	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
496	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₂×Q₈×C₁₃	—	2	1	no	—
500	C₂×Q₈×C₁₃	—	2	1	no	—
501	C₂×Q₈×C₁₃	—	2	2	no	—
502	C₂×Q₈×C₁₃	—	2	2	no	—
503	C₂×Q₈×C₁₃	—	4	1	no	—
504	C₂×Q₈×C₁₃	—	4	1	no	—
505	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	4	1	no	—
513	C₂×D₄×C₁₃	—	4	1	no	—
514	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	4	4	no	—
536	C₂×C₂²⋊D₁₃	—	8	2	no	—
537	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	—	2	1	no	—
541	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
542	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
543	#6131	—	2	2	no	—
544	#6131	—	2	2	no	—
545	#6131	—	2	2	no	—
546	#6131	—	2	2	no	—
547	#6131	—	2	2	no	—
548	#6131	—	2	2	no	—
549	#6131	—	4	1	no	—
550	#6131	—	4	1	no	—
551	#6131	—	4	1	no	—
552	#6131	—	4	1	no	—
553	#6131	—	4	1	no	—
554	#6131	—	4	1	no	—
555	#6131	—	4	1	no	—
556	#6131	—	4	1	no	—
557	#6131	—	4	4	no	—
558	#6131	—	4	4	no	—
559	#6131	—	4	1	no	—
560	#6131	—	4	1	no	—
561	#6131	—	4	4	no	—
562	#6131	—	4	4	no	—
563	D₄×D₁₃	—	4	1	no	—
564	D₄×D₁₃	—	4	1	no	—
565	D₄×D₁₃	—	4	2	no	—
566	D₄×D₁₃	—	4	4	no	—
567	D₄×D₁₃	—	8	2	no	—
568	#6127	—	8	2	no	—
569	C₂×D₅₂	—	2	1	no	—
570	C₂×D₅₂	—	2	2	no	—
571	C₂×D₅₂	—	2	2	no	—
572	C₂×D₅₂	—	2	1	no	—
573	C₂×D₅₂	—	2	1	no	—
574	C₂×D₅₂	—	2	1	no	—
575	C₂×D₅₂	—	2	1	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	—	4	1	no	—
587	C₂×D₅₂	—	4	1	no	—
588	C₂×D₅₂	—	4	4	no	—
589	C₂×D₅₂	—	4	4	no	—
590	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
591	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
592	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
593	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
594	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	2	1	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	2	1	no	—
602	C₂×C₄×D₁₃	—	2	1	no	—
603	C₂×C₄×D₁₃	—	2	1	no	—
604	C₂×C₄×D₁₃	—	2	1	no	—
605	C₂×C₄×D₁₃	—	2	1	no	—
606	C₂×C₄×D₁₃	—	2	1	no	—
607	C₂×C₄×D₁₃	—	4	1	no	—
608	C₂×C₄×D₁₃	—	4	1	no	—
609	C₂×C₄×D₁₃	—	4	1	no	—
610	C₂×C₄×D₁₃	—	4	1	no	—
611	C₂×C₄×D₁₃	—	4	4	no	—
612	C₂×C₄×D₁₃	—	4	4	no	—
613	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
615	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
619	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
620	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
621	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
622	C₂×Dic₂₆	—	2	1	no	—
623	C₁₃×Q₁₆	—	2	2	no	—
624	C₁₃×Q₁₆	—	4	1	no	—
625	C₁₃×Q₁₆	—	4	1	no	—
626	C₁₃×SD₁₆	—	2	2	no	—
627	C₁₃×SD₁₆	—	2	2	no	—
628	C₁₃×SD₁₆	—	4	1	no	—
629	C₁₃×SD₁₆	—	4	1	no	—
630	C₁₃×SD₁₆	—	4	1	no	—
631	C₁₃×SD₁₆	—	4	1	no	—
632	C₁₃×M₁₆	—	4	1	no	—
633	C₂×C₈×C₁₃	—	4	1	no	—
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
637	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	—	2	1	no	—
639	C₁₃×C₄⋊C₄	—	2	1	no	—
640	C₁₃×C₄⋊C₄	—	2	1	no	—
641	C₁₃×C₄⋊C₄	—	2	1	no	—
642	C₁₃×C₄⋊C₄	—	2	1	no	—
643	C₁₃×C₄⋊C₄	—	2	1	no	—
644	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₄²×C₁₃	—	2	1	no	—
657	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
658	C₂²⋊Dic₁₃	—	2	1	no	—
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
666	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
667	#6106	—	2	2	no	—
668	#6106	—	2	2	no	—
669	#6106	—	4	1	no	—
670	#6106	—	4	1	no	—
671	#6106	—	4	1	no	—
672	#6106	—	4	1	no	—
673	#6104	—	2	2	no	—
674	#6104	—	2	2	no	—
675	#6104	—	4	1	no	—
676	#6104	—	4	1	no	—
677	#6104	—	4	1	no	—
678	#6104	—	4	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	C₂×D₄	1	1	yes	characteristic
700	#6103	C₂×D₄	1	1	yes	characteristic
701	#6103	C₂×D₄	1	1	yes	characteristic
702	#6103	C₂×D₄	1	1	yes	characteristic
703	C₄⋊Dic₁₃	—	2	1	no	—
704	C₄⋊Dic₁₃	—	2	1	no	—
705	C₄⋊Dic₁₃	—	2	1	no	—
706	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
707	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
708	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
709	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	C₂×D₄	1	1	yes	characteristic
720	#6101	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
726	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
727	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
728	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
729	#6099	—	4	1	no	—
730	C₂×#1055	—	4	1	no	—
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	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	D₁₀₄	—	2	2	no	—
736	D₁₀₄	—	4	1	no	—
737	D₁₀₄	—	4	1	no	—
738	#6094	—	4	1	no	—
739	#6094	—	4	1	no	—
740	C₈×D₁₃	—	4	1	no	—
741	C₈×D₁₃	—	4	1	no	—
742	#3519	—	13	1	no	—
743	D₄×#41	—	13	1	no	—
744	#3321	—	13	1	no	—
745	#3320	—	13	1	no	—
746	#3319	—	13	1	no	—
747	#3318	—	13	1	no	—
748	#3316	—	13	1	no	—
749	#3314	—	13	1	no	—
750	#3309	—	13	1	no	—
751	#3307	—	13	1	no	—
752	#3271	—	13	1	no	—
753	#3268	—	13	1	no	—
754	#3268	—	13	1	no	—
755	#3267	—	13	1	no	—
756	#3266	D₁₃	1	1	yes	characteristic, complemented
757	#3265	—	13	1	no	—
758	#3264	—	13	1	no	—
759	#3264	—	13	1	no	—
760	#3219	—	13	1	no	—
761	#3214	—	13	1	no	—
762	#3197	—	13	1	no	—
763	#3194	—	13	1	no	—
764	#3191	—	13	1	no	—
765	#3188	—	13	1	no	—
766	#3115	—	13	1	no	—
767	#3111	—	13	1	no	—
768	#3006	—	13	1	no	—
769	#3005	—	13	1	no	—
770	#3002	—	13	1	no	—
771	C₂×#449	—	13	1	no	—
772	#2973	—	13	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	4	2	no	—
776	C₂³×C₁₃	—	8	1	no	—
777	C₂³×C₁₃	—	8	1	no	—
778	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
779	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
780	C₂²×D₁₃	—	2	1	no	—
781	C₂²×D₁₃	—	2	2	no	—
782	C₂²×D₁₃	—	2	1	no	—
783	C₂²×D₁₃	—	2	1	no	—
784	C₂²×D₁₃	—	2	1	no	—
785	C₂²×D₁₃	—	4	1	no	—
786	C₂²×D₁₃	—	4	1	no	—
787	C₂²×D₁₃	—	4	1	no	—
788	C₂²×D₁₃	—	4	1	no	—
789	C₂²×D₁₃	—	4	1	no	—
790	C₂²×D₁₃	—	4	2	no	—
791	C₂²×D₁₃	—	4	2	no	—
792	C₂²×D₁₃	—	4	2	no	—
793	C₂²×D₁₃	—	4	2	no	—
794	C₂²×D₁₃	—	4	2	no	—
795	C₂²×D₁₃	—	8	1	no	—
796	C₂²×D₁₃	—	8	1	no	—
797	C₂²×D₁₃	—	8	1	no	—
798	C₂²×D₁₃	—	8	1	no	—
799	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
802	Q₈×C₁₃	—	2	1	no	—
803	Q₈×C₁₃	—	2	1	no	—
804	Q₈×C₁₃	—	2	1	no	—
805	Q₈×C₁₃	—	2	1	no	—
806	Q₈×C₁₃	—	2	1	no	—
807	Q₈×C₁₃	—	2	1	no	—
808	Q₈×C₁₃	—	2	1	no	—
809	Q₈×C₁₃	—	4	2	no	—
810	Q₈×C₁₃	—	4	2	no	—
811	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
812	D₄×C₁₃	—	2	2	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	2	1	no	—
816	D₄×C₁₃	—	2	1	no	—
817	D₄×C₁₃	—	8	1	no	—
818	D₄×C₁₃	—	8	1	no	—
819	D₄×C₁₃	—	8	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	2	1	no	—
829	C₂×C₄×C₁₃	—	2	1	no	—
830	C₂×C₄×C₁₃	—	4	2	no	—
831	C₂×C₄×C₁₃	—	4	2	no	—
832	C₂×C₄×C₁₃	—	8	1	no	—
833	C₂×C₄×C₁₃	—	8	1	no	—
834	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
839	C₂²⋊D₁₃	—	2	2	no	—
840	C₂²⋊D₁₃	—	4	1	no	—
841	C₂²⋊D₁₃	—	4	2	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	4	2	no	—
847	C₂²⋊D₁₃	—	4	2	no	—
848	C₂²⋊D₁₃	—	8	1	no	—
849	C₂²⋊D₁₃	—	8	1	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	—	8	1	no	—
853	C₂×Dic₁₃	—	2	1	no	—
854	C₂×Dic₁₃	—	2	1	no	—
855	C₂×Dic₁₃	—	2	1	no	—
856	C₂×Dic₁₃	—	2	1	no	—
857	C₂×Dic₁₃	—	4	1	no	—
858	C₂×Dic₁₃	—	4	1	no	—
859	C₂×Dic₁₃	—	4	2	no	—
860	C₂×Dic₁₃	—	8	1	no	—
861	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
862	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
865	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
866	D₅₂	—	2	4	no	—
867	D₅₂	—	2	1	no	—
868	D₅₂	—	2	1	no	—
869	D₅₂	—	2	1	no	—
870	D₅₂	—	2	1	no	—
871	D₅₂	—	2	1	no	—
872	D₅₂	—	2	1	no	—
873	D₅₂	—	2	1	no	—
874	D₅₂	—	4	1	no	—
875	D₅₂	—	4	2	no	—
876	D₅₂	—	4	2	no	—
877	D₅₂	—	4	2	no	—
878	D₅₂	—	4	2	no	—
879	D₅₂	—	4	2	no	—
880	D₅₂	—	4	2	no	—
881	D₅₂	—	4	2	no	—
882	D₅₂	—	4	2	no	—
883	D₅₂	—	4	2	no	—
884	D₅₂	—	4	2	no	—
885	D₅₂	—	8	1	no	—
886	D₅₂	—	8	1	no	—
887	D₅₂	—	8	1	no	—
888	D₅₂	—	8	1	no	—
889	D₅₂	H(5,𝔽₂)	1	2	yes	—
890	C₄×D₁₃	—	2	4	no	—
891	C₄×D₁₃	—	2	1	no	—
892	C₄×D₁₃	—	2	1	no	—
893	C₄×D₁₃	—	2	1	no	—
894	C₄×D₁₃	—	2	1	no	—
895	C₄×D₁₃	—	2	1	no	—
896	C₄×D₁₃	—	2	1	no	—
897	C₄×D₁₃	—	4	1	no	—
898	C₄×D₁₃	—	4	1	no	—
899	C₄×D₁₃	—	4	1	no	—
900	C₄×D₁₃	—	4	1	no	—
901	C₄×D₁₃	—	4	1	no	—
902	C₄×D₁₃	—	4	1	no	—
903	C₄×D₁₃	—	4	2	no	—
904	C₄×D₁₃	—	4	2	no	—
905	C₄×D₁₃	—	4	2	no	—
906	C₄×D₁₃	—	4	2	no	—
907	C₄×D₁₃	—	4	2	no	—
908	C₄×D₁₃	—	4	2	no	—
909	C₄×D₁₃	—	4	2	no	—
910	C₄×D₁₃	—	8	1	no	—
911	C₄×D₁₃	—	8	1	no	—
912	C₄×D₁₃	—	8	1	no	—
913	C₄×D₁₃	—	8	1	no	—
914	Dic₂₆	—	8	1	no	—
915	C₈×C₁₃	—	2	1	no	—
916	C₈×C₁₃	—	2	1	no	—
917	C₈×C₁₃	—	2	1	no	—
918	C₈×C₁₃	—	2	1	no	—
919	#1055	—	2	1	no	—
920	#1055	—	2	1	no	—
921	#1055	—	2	1	no	—
922	#1055	—	2	1	no	—
923	C₂²×#41	—	13	1	no	—
924	C₂²×#41	—	13	1	no	—
925	C₂×#137	C₂×D₁₃	1	1	yes	characteristic, complemented
926	C₂×AGL(1,ℤ/8)	—	13	1	no	—
927	C₂×AGL(1,ℤ/8)	—	13	1	no	—
928	C₂×AGL(1,ℤ/8)	—	13	1	no	—
929	C₂×#135	—	13	1	no	—
930	C₂×#135	—	13	1	no	—
931	C₂²×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
932	C₂²×D₈	—	13	1	no	—
933	#555	—	13	1	no	—
934	#554	—	13	1	no	—
935	#553	—	13	1	no	—
936	#553	—	13	1	no	—
937	#553	—	26	1	no	—
938	#550	—	13	1	no	—
939	#550	—	13	1	no	—
940	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
941	#548	—	13	1	no	—
942	#548	—	13	1	no	—
943	#547	—	13	1	no	—
944	#547	—	26	1	no	—
945	#546	—	13	1	no	—
946	#546	—	13	1	no	—
947	#546	—	13	1	no	—
948	#546	—	26	1	no	—
949	#546	—	26	1	no	—
950	#546	—	26	1	no	—
951	#546	—	26	1	no	—
952	#546	C₂×D₁₃	1	1	yes	characteristic
953	D₄²	—	13	1	no	—
954	D₄²	—	13	1	no	—
955	D₄²	—	26	1	no	—
956	D₄²	—	26	1	no	—
957	#540	—	26	1	no	—
958	#538	—	26	1	no	—
959	#538	—	26	1	no	—
960	#532	—	13	1	no	—
961	#532	—	13	1	no	—
962	#532	—	26	1	no	—
963	#529	—	13	1	no	—
964	#525	—	13	1	no	—
965	#525	—	13	1	no	—
966	#525	—	13	1	no	—
967	#525	—	13	1	no	—
968	#525	—	26	1	no	—
969	#525	—	26	1	no	—
970	C₂×#121	—	13	1	no	—
971	C₂×#121	—	13	1	no	—
972	#518	—	26	1	no	—
973	C₄×#41	—	13	1	no	—
974	C₂×C₄×D₄	—	13	1	no	—
975	C₂×C₄×D₄	—	26	1	no	—
976	#497	C₂×D₁₃	1	1	yes	characteristic, complemented
977	#496	—	13	1	no	—
978	#496	—	13	1	no	—
979	#496	—	13	1	no	—
980	#491	—	13	1	no	—
981	#490	—	13	1	no	—
982	#489	—	13	1	no	—
983	#489	—	13	1	no	—
984	#485	—	13	1	no	—
985	#485	—	13	1	no	—
986	#485	—	13	1	no	—
987	#484	—	13	1	no	—
988	#483	—	13	1	no	—
989	#482	—	13	1	no	—
990	#482	—	13	1	no	—
991	#482	—	13	1	no	—
992	#482	—	13	1	no	—
993	#482	—	13	1	no	—
994	#481	—	13	1	no	—
995	#480	—	13	1	no	—
996	#479	—	13	1	no	—
997	#478	—	13	1	no	—
998	#475	—	13	1	no	—
999	#474	—	13	1	no	—
1000	#470	—	13	1	no	—
1001	#469	—	13	1	no	—
1002	#469	—	13	1	no	—
1003	#469	—	13	1	no	—
1004	#468	—	13	1	no	—
1005	#468	—	13	1	no	—
1006	#468	—	13	1	no	—
1007	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1008	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
1009	#466	—	13	1	no	—
1010	#466	—	13	1	no	—
1011	#466	—	13	1	no	—
1012	#465	—	13	1	no	—
1013	#465	—	13	1	no	—
1014	#465	—	13	1	no	—
1015	#465	—	13	1	no	—
1016	#464	—	13	1	no	—
1017	#464	—	13	1	no	—
1018	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1019	#463	—	13	1	no	—
1020	#463	—	13	1	no	—
1021	#463	—	13	1	no	—
1022	#461	—	13	1	no	—
1023	#461	C₂×D₁₃	1	1	yes	characteristic, complemented
1024	#460	—	13	1	no	—
1025	#459	—	13	1	no	—
1026	#459	—	13	1	no	—
1027	#459	—	13	1	no	—
1028	#452	—	13	1	no	—
1029	#452	—	13	1	no	—
1030	#452	—	13	1	no	—
1031	#452	—	13	1	no	—
1032	#452	—	13	1	no	—
1033	#452	—	13	1	no	—
1034	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1035	#451	C₂×D₁₃	1	1	yes	characteristic, complemented
1036	#450	—	13	1	no	—
1037	#450	—	13	1	no	—
1038	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#449	—	13	1	no	—
1048	#449	—	13	1	no	—
1049	#449	—	13	1	no	—
1050	#449	—	13	1	no	—
1051	#449	—	13	1	no	—
1052	#449	—	13	1	no	—
1053	#449	—	13	1	no	—
1054	#449	—	13	1	no	—
1055	#449	—	13	1	no	—
1056	#448	—	13	1	no	—
1057	#448	—	13	1	no	—
1058	#448	C₂×D₁₃	1	1	yes	characteristic, complemented
1059	#447	—	13	1	no	—
1060	#447	—	13	1	no	—
1061	#447	—	13	1	no	—
1062	#447	—	13	1	no	—
1063	#447	—	13	1	no	—
1064	#442	—	13	1	no	—
1065	#442	—	13	1	no	—
1066	#442	—	13	1	no	—
1067	#441	—	13	1	no	—
1068	#440	—	13	1	no	—
1069	#440	—	13	1	no	—
1070	#440	—	13	1	no	—
1071	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1072	#435	—	13	1	no	—
1073	#435	—	13	1	no	—
1074	#435	—	13	1	no	—
1075	#435	—	13	1	no	—
1076	#435	—	13	1	no	—
1077	#435	—	13	1	no	—
1078	#435	—	13	1	no	—
1079	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1080	#432	—	13	1	no	—
1081	#432	—	13	1	no	—
1082	#419	—	13	1	no	—
1083	#418	—	13	1	no	—
1084	#417	—	13	1	no	—
1085	#417	—	13	1	no	—
1086	#416	—	13	1	no	—
1087	#416	—	13	1	no	—
1088	C₂×#103	—	13	1	no	—
1089	C₂×#102	—	13	1	no	—
1090	#407	—	13	1	no	—
1091	#407	—	13	1	no	—
1092	C₂×C₂²⋊C₈	—	13	1	no	—
1093	C₂×C₂²⋊C₈	—	13	1	no	—
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	2	1	no	—
1097	C₂²×C₁₃	—	2	1	no	—
1098	C₂²×C₁₃	—	2	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	4	1	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	—	16	2	no	—
1106	C₂²×C₁₃	#575	1	2	yes	—
1107	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1108	C₂×D₁₃	—	2	1	no	—
1109	C₂×D₁₃	—	2	1	no	—
1110	C₂×D₁₃	—	2	1	no	—
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	2	2	no	—
1113	C₂×D₁₃	—	2	1	no	—
1114	C₂×D₁₃	—	2	1	no	—
1115	C₂×D₁₃	—	2	1	no	—
1116	C₂×D₁₃	—	2	1	no	—
1117	C₂×D₁₃	—	2	1	no	—
1118	C₂×D₁₃	—	4	1	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	4	1	no	—
1122	C₂×D₁₃	—	4	1	no	—
1123	C₂×D₁₃	—	4	1	no	—
1124	C₂×D₁₃	—	4	1	no	—
1125	C₂×D₁₃	—	4	1	no	—
1126	C₂×D₁₃	—	4	1	no	—
1127	C₂×D₁₃	—	4	1	no	—
1128	C₂×D₁₃	—	4	1	no	—
1129	C₂×D₁₃	—	8	2	no	—
1130	C₂×D₁₃	—	8	2	no	—
1131	C₂×D₁₃	—	8	4	no	—
1132	C₂×D₁₃	—	8	4	no	—
1133	C₂×D₁₃	—	16	2	no	—
1134	C₄×C₁₃	—	2	1	no	—
1135	C₄×C₁₃	—	2	2	no	—
1136	C₄×C₁₃	—	2	1	no	—
1137	C₄×C₁₃	—	2	1	no	—
1138	C₄×C₁₃	—	2	1	no	—
1139	C₄×C₁₃	—	4	1	no	—
1140	C₄×C₁₃	—	4	1	no	—
1141	C₄×C₁₃	—	4	1	no	—
1142	C₄×C₁₃	—	4	1	no	—
1143	C₄×C₁₃	—	4	1	no	—
1144	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1145	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1146	Dic₁₃	—	2	1	no	—
1147	Dic₁₃	—	2	1	no	—
1148	Dic₁₃	—	2	1	no	—
1149	Dic₁₃	—	2	1	no	—
1150	Dic₁₃	—	2	1	no	—
1151	Dic₁₃	—	4	1	no	—
1152	Dic₁₃	—	4	1	no	—
1153	Dic₁₃	—	4	1	no	—
1154	Dic₁₃	—	4	1	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	13	1	no	—
1157	C₂×#41	—	13	1	no	—
1158	C₂×#41	—	13	1	no	—
1159	C₂×#41	—	13	1	no	—
1160	C₂×#41	—	13	1	no	—
1161	C₂×#41	—	13	1	no	—
1162	C₂×#41	—	13	1	no	—
1163	C₂×#41	—	26	1	no	—
1164	C₂×#41	—	26	1	no	—
1165	C₂×#41	—	26	1	no	—
1166	C₂×#41	—	26	1	no	—
1167	C₂×#41	—	26	1	no	—
1168	C₂×#41	—	52	2	no	—
1169	C₂×#41	—	52	2	no	—
1170	C₂×#41	—	52	2	no	—
1171	C₂×#41	—	52	2	no	—
1172	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1173	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1174	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1175	C₂²×D₄	—	13	1	no	—
1176	C₂²×D₄	—	13	1	no	—
1177	C₂²×D₄	—	13	1	no	—
1178	C₂²×D₄	—	13	1	no	—
1179	C₂²×D₄	—	26	1	no	—
1180	C₂²×D₄	—	26	1	no	—
1181	C₂²×D₄	—	26	1	no	—
1182	C₂²×D₄	—	26	1	no	—
1183	C₂²×D₄	—	26	1	no	—
1184	C₂²×D₄	—	26	1	no	—
1185	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1186	C₂³×C₄	—	13	1	no	—
1187	C₂³×C₄	—	13	1	no	—
1188	C₂³×C₄	—	26	1	no	—
1189	C₂³×C₄	—	26	1	no	—
1190	#137	—	4	2	no	—
1191	AGL(1,ℤ/8)	—	52	2	no	—
1192	AGL(1,ℤ/8)	—	52	2	no	—
1193	AGL(1,ℤ/8)	—	52	2	no	—
1194	#135	—	52	2	no	—
1195	#135	—	52	2	no	—
1196	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1197	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic
1199	C₂×SD₁₆	—	4	2	no	—
1200	C₂×SD₁₆	—	13	1	no	—
1201	C₂×SD₁₆	—	13	1	no	—
1202	C₂×SD₁₆	—	13	1	no	—
1203	C₂×SD₁₆	—	13	1	no	—
1204	C₂×SD₁₆	—	13	1	no	—
1205	C₂×SD₁₆	—	13	1	no	—
1206	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1207	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1208	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1209	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1210	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1211	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1212	C₂×D₈	—	13	1	no	—
1213	C₂×D₈	—	13	1	no	—
1214	C₂×D₈	—	13	1	no	—
1215	C₂×D₈	—	13	1	no	—
1216	C₂×D₈	—	13	1	no	—
1217	C₂×D₈	—	13	1	no	—
1218	C₂×D₈	—	13	1	no	—
1219	C₂×D₈	—	13	1	no	—
1220	C₂×D₈	—	13	1	no	—
1221	C₂×D₈	—	52	2	no	—
1222	C₂×M₁₆	—	13	1	no	—
1223	C₂×M₁₆	—	13	1	no	—
1224	C₂×M₁₆	—	13	1	no	—
1225	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1226	C₂²×C₈	—	13	1	no	—
1227	C₂²×C₈	—	13	1	no	—
1228	C₂²×C₈	—	13	1	no	—
1229	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1230	C₄⋊Q₈	—	2	1	no	—
1231	C₄⋊Q₈	—	13	1	no	—
1232	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1233	#127	—	13	1	no	—
1234	#127	—	13	1	no	—
1235	#127	—	26	1	no	—
1236	#127	—	26	1	no	—
1237	#126	—	26	1	no	—
1238	#126	—	26	1	no	—
1239	#126	—	26	1	no	—
1240	#125	—	13	1	no	—
1241	#125	—	26	1	no	—
1242	#124	—	13	1	no	—
1243	#124	—	13	1	no	—
1244	#124	—	26	1	no	—
1245	#124	—	26	1	no	—
1246	#124	—	26	1	no	—
1247	#124	—	26	1	no	—
1248	#124	—	26	1	no	—
1249	#124	C₂²×D₁₃	1	1	yes	characteristic
1250	#123	—	2	1	no	—
1251	#123	—	26	1	no	—
1252	#123	—	26	1	no	—
1253	#123	—	26	1	no	—
1254	#123	—	26	1	no	—
1255	#123	—	26	1	no	—
1256	#123	—	26	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	#123	—	26	1	no	—
1260	#123	—	26	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	2	1	no	—
1265	C₂²⋊Q₈	—	13	1	no	—
1266	C₂²⋊Q₈	—	13	1	no	—
1267	C₂²⋊Q₈	—	13	1	no	—
1268	C₂²⋊Q₈	—	13	1	no	—
1269	C₂²⋊Q₈	—	26	1	no	—
1270	C₂²⋊Q₈	—	26	1	no	—
1271	C₂²⋊Q₈	—	26	1	no	—
1272	C₂²⋊Q₈	—	26	1	no	—
1273	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1275	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1276	#121	—	2	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	—	13	1	no	—
1285	#121	—	13	1	no	—
1286	#121	—	13	1	no	—
1287	#121	—	13	1	no	—
1288	#121	—	13	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	—	26	1	no	—
1297	#121	—	26	1	no	—
1298	#121	—	26	1	no	—
1299	#121	—	26	1	no	—
1300	#121	—	26	1	no	—
1301	#121	—	26	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	C₂²×D₁₃	1	1	yes	characteristic
1312	#120	—	2	1	no	—
1313	#120	—	26	1	no	—
1314	#120	—	26	1	no	—
1315	#120	—	26	1	no	—
1316	#120	—	26	1	no	—
1317	#120	—	26	1	no	—
1318	#120	—	26	1	no	—
1319	#120	—	26	1	no	—
1320	#120	—	26	1	no	—
1321	#120	—	26	1	no	—
1322	#120	—	26	1	no	—
1323	#120	—	26	1	no	—
1324	C₄×Q₈	—	13	1	no	—
1325	C₄×Q₈	—	13	1	no	—
1326	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	—	13	1	no	—
1329	C₄×D₄	—	13	1	no	—
1330	C₄×D₄	—	13	1	no	—
1331	C₄×D₄	—	13	1	no	—
1332	C₄×D₄	—	13	1	no	—
1333	C₄×D₄	—	13	1	no	—
1334	C₄×D₄	—	13	1	no	—
1335	C₄×D₄	—	13	1	no	—
1336	C₄×D₄	—	13	1	no	—
1337	C₄×D₄	—	13	1	no	—
1338	C₄×D₄	—	13	1	no	—
1339	C₄×D₄	—	26	1	no	—
1340	C₄×D₄	—	26	1	no	—
1341	C₄×D₄	—	26	1	no	—
1342	C₄×D₄	—	26	1	no	—
1343	C₄×D₄	—	26	1	no	—
1344	C₄×D₄	—	26	1	no	—
1345	C₄×D₄	—	26	1	no	—
1346	C₄×D₄	—	26	1	no	—
1347	C₄×D₄	—	26	1	no	—
1348	C₄×D₄	—	26	1	no	—
1349	C₄×D₄	—	26	1	no	—
1350	C₄×D₄	—	26	1	no	—
1351	C₄×D₄	—	26	1	no	—
1352	C₄×D₄	—	26	1	no	—
1353	C₄×D₄	—	26	1	no	—
1354	C₄×D₄	—	26	1	no	—
1355	C₄×D₄	—	26	1	no	—
1356	C₄×D₄	—	26	1	no	—
1357	C₄×D₄	—	26	1	no	—
1358	C₄×D₄	—	26	1	no	—
1359	C₄×D₄	—	26	1	no	—
1360	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1361	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1362	#117	—	13	1	no	—
1363	#117	—	13	1	no	—
1364	#117	—	13	1	no	—
1365	#117	—	26	1	no	—
1366	#117	—	26	1	no	—
1367	#117	—	26	1	no	—
1368	C₂×C₄⋊C₄	—	13	1	no	—
1369	C₂×C₄⋊C₄	—	13	1	no	—
1370	C₂×C₄⋊C₄	—	13	1	no	—
1371	C₂×C₄⋊C₄	—	26	1	no	—
1372	C₂×C₂²⋊C₄	—	2	1	no	—
1373	C₂×C₂²⋊C₄	—	13	1	no	—
1374	C₂×C₂²⋊C₄	—	13	1	no	—
1375	C₂×C₂²⋊C₄	—	26	1	no	—
1376	C₂×C₂²⋊C₄	—	26	1	no	—
1377	C₂×C₂²⋊C₄	—	26	1	no	—
1378	C₂×C₂²⋊C₄	—	26	1	no	—
1379	C₂×C₂²⋊C₄	—	26	1	no	—
1380	C₂×C₄²	—	13	1	no	—
1381	C₂×C₄²	—	26	1	no	—
1382	#107	—	13	1	no	—
1383	#107	—	13	1	no	—
1384	#107	—	13	1	no	—
1385	#107	C₂²×D₁₃	1	1	yes	characteristic
1386	#106	—	13	1	no	—
1387	#106	—	13	1	no	—
1388	#106	—	13	1	no	—
1389	#106	—	13	1	no	—
1390	C₄⋊C₈	—	13	1	no	—
1391	C₄⋊C₈	—	13	1	no	—
1392	C₄⋊C₈	—	13	1	no	—
1393	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#103	—	13	1	no	—
1400	#103	—	13	1	no	—
1401	#103	—	13	1	no	—
1402	#103	—	13	1	no	—
1403	#103	—	13	1	no	—
1404	#103	C₂²×D₁₃	1	1	yes	characteristic
1405	#103	C₂²×D₁₃	1	1	yes	characteristic
1406	#103	C₂²×D₁₃	1	1	yes	characteristic
1407	#103	C₂²×D₁₃	1	1	yes	characteristic
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	#102	—	13	1	no	—
1420	#102	—	13	1	no	—
1421	#102	—	13	1	no	—
1422	#102	—	13	1	no	—
1423	#102	—	13	1	no	—
1424	#102	C₂²×D₁₃	1	1	yes	characteristic
1425	#102	C₂²×D₁₃	1	1	yes	characteristic
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	—	13	1	no	—
1429	C₂²⋊C₈	—	13	1	no	—
1430	C₂²⋊C₈	—	13	1	no	—
1431	C₂²⋊C₈	—	13	1	no	—
1432	C₂²⋊C₈	—	13	1	no	—
1433	C₂²⋊C₈	—	13	1	no	—
1434	C₂²⋊C₈	—	13	1	no	—
1435	C₂²⋊C₈	—	13	1	no	—
1436	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1437	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1438	#97	—	13	1	no	—
1439	#97	—	13	1	no	—
1440	#97	—	13	1	no	—
1441	#97	C₂²×D₁₃	1	1	yes	characteristic
1442	C₂×C₁₃	—	2	2	no	—
1443	C₂×C₁₃	—	4	1	no	—
1444	C₂×C₁₃	—	8	1	no	—
1445	C₂×C₁₃	—	8	1	no	—
1446	C₂×C₁₃	#3484	1	1	yes	characteristic
1447	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1448	C₂×C₁₃	#3585	1	1	yes	characteristic
1449	D₁₃	—	4	1	no	—
1450	D₁₃	—	4	1	no	—
1451	D₁₃	—	4	1	no	—
1452	D₁₃	—	4	2	no	—
1453	D₁₃	—	8	1	no	—
1454	D₁₃	—	8	1	no	—
1455	D₁₃	—	8	1	no	—
1456	C₂⁴	—	2	1	no	—
1457	C₂⁴	—	13	1	no	—
1458	C₂⁴	—	13	1	no	—
1459	C₂⁴	—	26	1	no	—
1460	C₂⁴	—	26	1	no	—
1461	C₂⁴	—	26	1	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	26	2	no	—
1465	#41	—	26	2	no	—
1466	#41	—	26	2	no	—
1467	#41	—	26	2	no	—
1468	#41	—	26	2	no	—
1469	#41	—	26	2	no	—
1470	#41	—	52	1	no	—
1471	#41	—	52	1	no	—
1472	#41	—	52	1	no	—
1473	#41	—	52	1	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	1	no	—
1476	#41	—	52	1	no	—
1477	#41	—	52	1	no	—
1478	#41	—	52	4	no	—
1479	#41	—	52	4	no	—
1480	#41	—	52	1	no	—
1481	#41	—	52	1	no	—
1482	#41	—	52	4	no	—
1483	#41	—	52	4	no	—
1484	#41	—	104	2	no	—
1485	C₂×Q₈	—	2	1	no	—
1486	C₂×Q₈	—	2	1	no	—
1487	C₂×Q₈	—	2	2	no	—
1488	C₂×Q₈	—	2	2	no	—
1489	C₂×Q₈	—	4	1	no	—
1490	C₂×Q₈	—	4	1	no	—
1491	C₂×Q₈	—	26	1	no	—
1492	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1494	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1495	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	4	1	no	—
1500	C₂×D₄	—	4	1	no	—
1501	C₂×D₄	—	13	1	no	—
1502	C₂×D₄	—	13	1	no	—
1503	C₂×D₄	—	13	1	no	—
1504	C₂×D₄	—	13	1	no	—
1505	C₂×D₄	—	13	1	no	—
1506	C₂×D₄	—	13	1	no	—
1507	C₂×D₄	—	13	1	no	—
1508	C₂×D₄	—	26	2	no	—
1509	C₂×D₄	—	26	2	no	—
1510	C₂×D₄	—	26	1	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	52	1	no	—
1538	C₂×D₄	—	52	1	no	—
1539	C₂×D₄	—	52	4	no	—
1540	C₂×D₄	—	52	4	no	—
1541	C₂×D₄	—	52	1	no	—
1542	C₂×D₄	—	52	1	no	—
1543	C₂×D₄	—	52	2	no	—
1544	C₂×D₄	—	52	4	no	—
1545	C₂×D₄	—	52	4	no	—
1546	C₂×D₄	—	104	2	no	—
1547	C₂×D₄	—	104	2	no	—
1548	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1549	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	13	1	no	—
1556	C₂²×C₄	—	13	1	no	—
1557	C₂²×C₄	—	13	1	no	—
1558	C₂²×C₄	—	13	1	no	—
1559	C₂²×C₄	—	13	1	no	—
1560	C₂²×C₄	—	13	1	no	—
1561	C₂²×C₄	—	13	1	no	—
1562	C₂²×C₄	—	13	1	no	—
1563	C₂²×C₄	—	13	1	no	—
1564	C₂²×C₄	—	13	1	no	—
1565	C₂²×C₄	—	13	1	no	—
1566	C₂²×C₄	—	26	1	no	—
1567	C₂²×C₄	—	26	1	no	—
1568	C₂²×C₄	—	26	1	no	—
1569	C₂²×C₄	—	26	1	no	—
1570	C₂²×C₄	—	26	1	no	—
1571	C₂²×C₄	—	26	1	no	—
1572	C₂²×C₄	—	26	1	no	—
1573	C₂²×C₄	—	26	1	no	—
1574	C₂²×C₄	—	26	1	no	—
1575	C₂²×C₄	—	26	1	no	—
1576	C₂²×C₄	—	26	1	no	—
1577	C₂²×C₄	—	26	1	no	—
1578	C₂²×C₄	—	26	1	no	—
1579	C₂²×C₄	—	26	1	no	—
1580	C₂²×C₄	—	52	1	no	—
1581	C₂²×C₄	—	52	1	no	—
1582	C₂²×C₄	—	52	1	no	—
1583	C₂²×C₄	—	52	1	no	—
1584	C₂²×C₄	—	52	4	no	—
1585	C₂²×C₄	—	52	4	no	—
1586	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1587	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1588	Q₁₆	—	2	2	no	—
1589	Q₁₆	—	4	1	no	—
1590	Q₁₆	—	4	1	no	—
1591	SD₁₆	—	2	2	no	—
1592	SD₁₆	—	2	2	no	—
1593	SD₁₆	—	4	1	no	—
1594	SD₁₆	—	4	1	no	—
1595	SD₁₆	—	4	1	no	—
1596	SD₁₆	—	4	1	no	—
1597	SD₁₆	—	26	2	no	—
1598	SD₁₆	—	26	2	no	—
1599	SD₁₆	—	52	1	no	—
1600	SD₁₆	—	52	1	no	—
1601	SD₁₆	—	52	1	no	—
1602	SD₁₆	—	52	1	no	—
1603	D₈	—	26	2	no	—
1604	D₈	—	26	2	no	—
1605	D₈	—	26	2	no	—
1606	D₈	—	52	1	no	—
1607	D₈	—	52	1	no	—
1608	D₈	—	52	1	no	—
1609	D₈	—	52	1	no	—
1610	D₈	—	52	1	no	—
1611	D₈	—	52	1	no	—
1612	M₁₆	—	4	1	no	—
1613	M₁₆	—	52	1	no	—
1614	M₁₆	—	52	1	no	—
1615	M₁₆	—	52	1	no	—
1616	C₂×C₈	—	4	1	no	—
1617	C₂×C₈	—	13	1	no	—
1618	C₂×C₈	—	13	1	no	—
1619	C₂×C₈	—	13	1	no	—
1620	C₂×C₈	—	13	1	no	—
1621	C₂×C₈	—	52	1	no	—
1622	C₂×C₈	—	52	1	no	—
1623	C₂×C₈	—	52	1	no	—
1624	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1625	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1626	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1627	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1628	C₄⋊C₄	—	2	1	no	—
1629	C₄⋊C₄	—	2	1	no	—
1630	C₄⋊C₄	—	2	1	no	—
1631	C₄⋊C₄	—	2	1	no	—
1632	C₄⋊C₄	—	2	1	no	—
1633	C₄⋊C₄	—	2	1	no	—
1634	C₄⋊C₄	—	13	1	no	—
1635	C₄⋊C₄	—	13	1	no	—
1636	C₄⋊C₄	—	13	1	no	—
1637	C₄⋊C₄	—	13	1	no	—
1638	C₄⋊C₄	—	13	1	no	—
1639	C₄⋊C₄	—	13	1	no	—
1640	C₄⋊C₄	—	13	1	no	—
1641	C₄⋊C₄	—	26	1	no	—
1642	C₄⋊C₄	—	26	1	no	—
1643	C₄⋊C₄	—	26	1	no	—
1644	C₄⋊C₄	—	26	1	no	—
1645	C₄⋊C₄	—	26	1	no	—
1646	C₄⋊C₄	—	26	1	no	—
1647	C₄⋊C₄	—	26	1	no	—
1648	C₄⋊C₄	—	26	1	no	—
1649	C₄⋊C₄	—	26	1	no	—
1650	C₄⋊C₄	—	26	1	no	—
1651	C₄⋊C₄	—	26	1	no	—
1652	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1653	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1654	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	13	1	no	—
1663	C₂²⋊C₄	—	13	1	no	—
1664	C₂²⋊C₄	—	13	1	no	—
1665	C₂²⋊C₄	—	13	1	no	—
1666	C₂²⋊C₄	—	13	1	no	—
1667	C₂²⋊C₄	—	13	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	—	26	1	no	—
1681	C₂²⋊C₄	—	26	1	no	—
1682	C₂²⋊C₄	—	26	1	no	—
1683	C₂²⋊C₄	—	26	1	no	—
1684	C₂²⋊C₄	—	26	1	no	—
1685	C₂²⋊C₄	—	26	1	no	—
1686	C₂²⋊C₄	—	26	1	no	—
1687	C₂²⋊C₄	—	26	1	no	—
1688	C₂²⋊C₄	—	26	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1696	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1697	C₄²	—	2	1	no	—
1698	C₄²	—	13	1	no	—
1699	C₄²	—	13	1	no	—
1700	C₄²	—	13	1	no	—
1701	C₄²	—	26	1	no	—
1702	C₄²	—	26	1	no	—
1703	C₄²	—	26	1	no	—
1704	C₄²	—	26	1	no	—
1705	C₄²	—	26	1	no	—
1706	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1707	C₁₃	#61579	1	1	yes	characteristic, complemented, Sylow
1708	C₂³	—	2	1	no	—
1709	C₂³	—	2	1	no	—
1710	C₂³	—	4	2	no	—
1711	C₂³	—	8	1	no	—
1712	C₂³	—	8	1	no	—
1713	C₂³	—	13	1	no	—
1714	C₂³	—	13	1	no	—
1715	C₂³	—	13	1	no	—
1716	C₂³	—	26	1	no	—
1717	C₂³	—	26	2	no	—
1718	C₂³	—	26	1	no	—
1719	C₂³	—	26	1	no	—
1720	C₂³	—	26	1	no	—
1721	C₂³	—	52	1	no	—
1722	C₂³	—	52	1	no	—
1723	C₂³	—	52	1	no	—
1724	C₂³	—	52	1	no	—
1725	C₂³	—	52	1	no	—
1726	C₂³	—	52	2	no	—
1727	C₂³	—	52	2	no	—
1728	C₂³	—	52	2	no	—
1729	C₂³	—	52	2	no	—
1730	C₂³	—	52	2	no	—
1731	C₂³	—	104	1	no	—
1732	C₂³	—	104	1	no	—
1733	C₂³	—	104	1	no	—
1734	C₂³	—	104	1	no	—
1735	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1736	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1737	Q₈	—	2	1	no	—
1738	Q₈	—	2	1	no	—
1739	Q₈	—	2	1	no	—
1740	Q₈	—	2	1	no	—
1741	Q₈	—	2	1	no	—
1742	Q₈	—	2	1	no	—
1743	Q₈	—	2	1	no	—
1744	Q₈	—	4	2	no	—
1745	Q₈	—	4	2	no	—
1746	Q₈	—	104	1	no	—
1747	Q₈	#88251	1	2	yes	—
1748	D₄	—	2	2	no	—
1749	D₄	—	2	1	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	8	1	no	—
1754	D₄	—	8	1	no	—
1755	D₄	—	8	1	no	—
1756	D₄	—	13	2	no	—
1757	D₄	—	26	4	no	—
1758	D₄	—	26	2	no	—
1759	D₄	—	26	1	no	—
1760	D₄	—	26	1	no	—
1761	D₄	—	26	1	no	—
1762	D₄	—	26	1	no	—
1763	D₄	—	26	1	no	—
1764	D₄	—	26	1	no	—
1765	D₄	—	26	1	no	—
1766	D₄	—	52	1	no	—
1767	D₄	—	52	2	no	—
1768	D₄	—	52	2	no	—
1769	D₄	—	52	2	no	—
1770	D₄	—	52	2	no	—
1771	D₄	—	52	2	no	—
1772	D₄	—	52	2	no	—
1773	D₄	—	52	2	no	—
1774	D₄	—	52	2	no	—
1775	D₄	—	52	2	no	—
1776	D₄	—	52	2	no	—
1777	D₄	—	52	1	no	—
1778	D₄	—	52	2	no	—
1779	D₄	—	52	2	no	—
1780	D₄	—	52	2	no	—
1781	D₄	—	52	2	no	—
1782	D₄	—	52	2	no	—
1783	D₄	—	52	2	no	—
1784	D₄	—	52	2	no	—
1785	D₄	—	104	1	no	—
1786	D₄	—	104	1	no	—
1787	D₄	—	104	1	no	—
1788	D₄	—	104	1	no	—
1789	D₄	—	104	1	no	—
1790	D₄	—	104	1	no	—
1791	D₄	—	104	1	no	—
1792	D₄	—	104	1	no	—
1793	D₄	—	104	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	4	2	no	—
1805	C₂×C₄	—	4	2	no	—
1806	C₂×C₄	—	8	1	no	—
1807	C₂×C₄	—	8	1	no	—
1808	C₂×C₄	—	13	1	no	—
1809	C₂×C₄	—	13	1	no	—
1810	C₂×C₄	—	13	1	no	—
1811	C₂×C₄	—	13	1	no	—
1812	C₂×C₄	—	13	1	no	—
1813	C₂×C₄	—	26	4	no	—
1814	C₂×C₄	—	26	1	no	—
1815	C₂×C₄	—	26	1	no	—
1816	C₂×C₄	—	26	1	no	—
1817	C₂×C₄	—	26	1	no	—
1818	C₂×C₄	—	26	1	no	—
1819	C₂×C₄	—	26	1	no	—
1820	C₂×C₄	—	26	1	no	—
1821	C₂×C₄	—	26	1	no	—
1822	C₂×C₄	—	26	1	no	—
1823	C₂×C₄	—	26	1	no	—
1824	C₂×C₄	—	52	1	no	—
1825	C₂×C₄	—	52	1	no	—
1826	C₂×C₄	—	52	1	no	—
1827	C₂×C₄	—	52	1	no	—
1828	C₂×C₄	—	52	1	no	—
1829	C₂×C₄	—	52	1	no	—
1830	C₂×C₄	—	52	2	no	—
1831	C₂×C₄	—	52	2	no	—
1832	C₂×C₄	—	52	2	no	—
1833	C₂×C₄	—	52	2	no	—
1834	C₂×C₄	—	52	2	no	—
1835	C₂×C₄	—	52	2	no	—
1836	C₂×C₄	—	52	2	no	—
1837	C₂×C₄	—	52	1	no	—
1838	C₂×C₄	—	52	1	no	—
1839	C₂×C₄	—	52	2	no	—
1840	C₂×C₄	—	104	1	no	—
1841	C₂×C₄	—	104	1	no	—
1842	C₂×C₄	—	104	1	no	—
1843	C₂×C₄	—	104	1	no	—
1844	C₂×C₄	—	104	1	no	—
1845	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1846	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1847	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1848	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1849	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1850	C₈	—	2	1	no	—
1851	C₈	—	2	1	no	—
1852	C₈	—	2	1	no	—
1853	C₈	—	2	1	no	—
1854	C₈	—	26	1	no	—
1855	C₈	—	26	1	no	—
1856	C₈	—	26	1	no	—
1857	C₈	—	26	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	2	1	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	4	1	no	—
1864	C₂²	—	4	1	no	—
1865	C₂²	—	4	1	no	—
1866	C₂²	—	4	1	no	—
1867	C₂²	—	4	1	no	—
1868	C₂²	—	4	1	no	—
1869	C₂²	—	16	2	no	—
1870	C₂²	—	26	2	no	—
1871	C₂²	—	26	1	no	—
1872	C₂²	—	26	1	no	—
1873	C₂²	—	26	1	no	—
1874	C₂²	—	26	1	no	—
1875	C₂²	—	26	1	no	—
1876	C₂²	—	26	1	no	—
1877	C₂²	—	26	1	no	—
1878	C₂²	—	26	1	no	—
1879	C₂²	—	26	1	no	—
1880	C₂²	—	52	1	no	—
1881	C₂²	—	52	1	no	—
1882	C₂²	—	52	1	no	—
1883	C₂²	—	52	1	no	—
1884	C₂²	—	52	1	no	—
1885	C₂²	—	52	1	no	—
1886	C₂²	—	52	1	no	—
1887	C₂²	—	52	1	no	—
1888	C₂²	—	52	1	no	—
1889	C₂²	—	52	1	no	—
1890	C₂²	—	52	1	no	—
1891	C₂²	—	104	2	no	—
1892	C₂²	—	104	4	no	—
1893	C₂²	—	104	2	no	—
1894	C₂²	—	104	4	no	—
1895	C₂²	—	208	2	no	—
1896	C₂²	#11719482	1	2	yes	—
1897	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	2	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	2	1	no	—
1903	C₄	—	4	1	no	—
1904	C₄	—	4	1	no	—
1905	C₄	—	4	1	no	—
1906	C₄	—	4	1	no	—
1907	C₄	—	4	1	no	—
1908	C₄	—	26	1	no	—
1909	C₄	—	26	1	no	—
1910	C₄	—	26	1	no	—
1911	C₄	—	26	1	no	—
1912	C₄	—	26	1	no	—
1913	C₄	—	52	1	no	—
1914	C₄	—	52	1	no	—
1915	C₄	—	52	1	no	—
1916	C₄	—	52	1	no	—
1917	C₄	C₂×#88251	1	1	yes	characteristic
1918	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1919	C₂	—	2	2	no	—
1920	C₂	—	4	1	no	—
1921	C₂	—	8	1	no	—
1922	C₂	—	8	1	no	—
1923	C₂	—	52	1	no	—
1924	C₂	—	52	1	no	—
1925	C₂	—	52	1	no	—
1926	C₂	—	52	2	no	—
1927	C₂	—	104	1	no	—
1928	C₂	—	104	1	no	—
1929	C₂	—	104	1	no	—
1930	C₂	#13128464	1	1	yes	characteristic
1931	C₂	C₂×#11719482	1	1	yes	characteristic
1932	C₂	#13129614	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
hypercenter	#3266	D₁₃
hypocenter	C₁₃	#61579
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
1. #13128865	C₂	semidirect
2. D₄×#6131	C₂	semidirect
3. #13127015	C₂	semidirect
4. #13127007	C₂	semidirect
5. #13126987	C₂	semidirect
6. #13126979	C₂	semidirect
7. #13126951	C₂	semidirect
8. #13126923	C₂	semidirect
9. #13126847	C₂	semidirect
10. #13126819	C₂	semidirect
11. #13126415	C₂	semidirect
12. #13126379	C₂	semidirect
13. #13126371	C₂	semidirect
14. #13126360	C₂	semidirect
15. #13126331	C₂	semidirect
16. #13126320	C₂	semidirect
17. #13126317	C₂	semidirect
18. #13125870	C₂	semidirect
19. #13125830	C₂	semidirect
20. #13125677	C₂	semidirect
21. #13125651	C₂	semidirect
22. #13125630	C₂	semidirect
23. #13125604	C₂	semidirect
24. #13124985	C₂	semidirect
25. #13124944	C₂	semidirect
26. #13124087	C₂	semidirect
27. #13124077	C₂	semidirect
28. #13124059	C₂	semidirect
29. C₂×#11718833	C₂	semidirect
30. #13123861	C₂	semidirect
31. C₁₃×#3266	C₂	semidirect
32. C₂²×#6131	C₂²	semidirect
33. C₂²×#6131	C₂²	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂²×C₁₃×SD₁₆	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
38. #11719539	C₂²	semidirect
39. #11719533	C₂²	semidirect
40. C₂×#88203	C₂²	semidirect
42. #11719522	C₂²	semidirect
43. D₄×C₂²⋊D₁₃	C₂²	semidirect
44. C₂×#88192	C₂²	semidirect
45. C₂²×#6104	C₂²	semidirect
46. C₂×#88173	C₂²	semidirect
47. C₂×#88173	C₂²	semidirect
48. C₂×#88168	C₂²	semidirect
49. C₂×#88168	C₂²	semidirect
51. #11719431	C₂²	semidirect
53. #11719430	C₂²	semidirect
54. #11719385	C₂²	semidirect
55. #11719381	C₂²	semidirect
58. #11719340	C₂²	semidirect
62. #11719335	C₂²	semidirect
65. #11719332	C₂²	semidirect
66. #11719332	C₂²	semidirect
67. #11719332	C₂²	semidirect
68. #11719321	C₂²	semidirect
71. D₁₃×#121	C₂²	semidirect
74. #11719282	C₂²	semidirect
75. C₄×#6131	C₂²	semidirect
77. #11719263	C₂²	semidirect
79. D₄×D₅₂	C₂²	semidirect
80. #11719253	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. #11718899	C₂²	semidirect
97. #11718888	C₂²	semidirect
98. #11718888	C₂²	semidirect
99. #11718886	C₂²	semidirect
100. C₂×#88075	C₂²	semidirect
101. #11718878	C₂²	semidirect
102. #11718850	C₂²	semidirect
103. #11718848	C₂²	semidirect
104. #11718848	C₂²	semidirect
105. #11718848	C₂²	semidirect
106. #11718848	C₂²	semidirect
107. #11718848	C₂²	semidirect
108. #11718848	C₂²	semidirect
109. #11718846	C₂²	semidirect
110. #11718846	C₂²	semidirect
111. #11718845	C₂²	semidirect
112. #11718837	C₂²	semidirect
113. #11718837	C₂²	semidirect
114. #11718835	C₂²	semidirect
116. #11718833	C₂²	semidirect
117. #11718833	C₂²	semidirect
118. #11718833	C₂²	semidirect
119. #11718833	C₂²	semidirect
120. #11718833	C₂²	semidirect
121. #11718833	C₂²	semidirect
122. #11718833	C₂²	semidirect
123. #11718833	C₂²	semidirect
124. #11718833	C₂²	semidirect
125. #11718833	C₂²	semidirect
126. #11718833	C₂²	semidirect
127. #11718832	C₂²	semidirect
128. #11718832	C₂²	semidirect
129. #11718830	C₂²	semidirect
130. #11718826	C₂²	semidirect
131. #11718826	C₂²	semidirect
132. #11718825	C₂²	semidirect
133. #11718824	C₂²	semidirect
134. #11718796	C₂²	semidirect
135. #11718792	C₂²	semidirect
136. #11718788	C₂²	semidirect
137. #11718787	C₂²	semidirect
138. #11718776	C₂²	semidirect
139. C₂×#88061	C₂²	semidirect
140. #11718772	C₂²	semidirect
141. C₂×#88060	C₂²	semidirect
142. #11718744	C₂²	semidirect
143. #11718743	C₂²	semidirect
144. #11718719	C₂²	semidirect
145. #11718718	C₂²	semidirect
146. #11718710	C₂²	semidirect
147. #11718709	C₂²	semidirect
148. #11718709	C₂²	semidirect
149. #11718707	C₂²	semidirect
150. #11718706	C₂²	semidirect
151. #11718705	C₂²	semidirect
152. #11718700	C₂²	semidirect
153. #11718697	C₂²	semidirect
154. #11718687	C₂²	semidirect
155. #11718683	C₂²	semidirect
156. #11718676	C₂²	semidirect
157. #11718675	C₂²	semidirect
158. #11718672	C₂²	semidirect
159. #11718551	C₂²	semidirect
160. #11718546	C₂²	semidirect
161. #11718546	C₂²	semidirect
162. #11718543	C₂²	semidirect
163. #11718508	C₂²	semidirect
164. #11718504	C₂²	semidirect
165. #11718497	C₂²	semidirect
166. #11718496	C₂²	semidirect
167. #11718478	C₂²	semidirect
168. #11718475	C₂²	semidirect
169. #11718475	C₂²	semidirect
170. #11718473	C₂²	semidirect
171. #11718472	C₂²	semidirect
172. #11718472	C₂²	semidirect
173. #11718472	C₂²	semidirect
174. #11718472	C₂²	semidirect
175. #11718466	C₂²	semidirect
176. #11718465	C₂²	semidirect
177. #11718465	C₂²	semidirect
178. #11718464	C₂²	semidirect
179. #11718464	C₂²	semidirect
180. #11718456	C₂²	semidirect
181. #11718456	C₂²	semidirect
182. #11718452	C₂²	semidirect
183. #11718447	C₂²	semidirect
184. #11718446	C₂²	semidirect
185. #11718443	C₂²	semidirect
186. #11718440	C₂²	semidirect
187. #11718440	C₂²	semidirect
188. #11718436	C₂²	semidirect
189. #11718436	C₂²	semidirect
190. #11718434	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718396	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718393	C₂²	semidirect
195. #11718391	C₂²	semidirect
196. #11718389	C₂²	semidirect
197. #11718387	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. #11718374	C₂²	semidirect
200. #11718372	C₂²	semidirect
201. #11718367	C₂²	semidirect
202. #11718366	C₂²	semidirect
756. #3266	D₁₃	semidirect
925. C₂×#137	C₂×D₁₃	semidirect
931. C₂²×SD₁₆	C₂×D₁₃	semidirect
940. D₄×Q₈	C₂×D₁₃	semidirect
976. #497	C₂×D₁₃	semidirect
1007. #468	C₂×D₁₃	semidirect
1008. #467	C₂×D₁₃	semidirect
1018. #464	C₂×D₁₃	semidirect
1023. #461	C₂×D₁₃	semidirect
1034. #452	C₂×D₁₃	semidirect
1035. #451	C₂×D₁₃	semidirect
1038. #450	C₂×D₁₃	semidirect
1058. #448	C₂×D₁₃	semidirect
1071. #440	C₂×D₁₃	semidirect
1079. #435	C₂×D₁₃	semidirect
1707. C₁₃	#61579	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×#6131	2
#13127015	2
#13127007	2
#13126987	2
#13126979	2
#13126951	2
#13126923	2
#13126847	2
#13126819	2
#13126415	2
#13126379	2
#13126371	2
#13126360	2
#13126331	2
#13126320	2
#13126317	2
#13125870	2
#13125830	2
#13125677	2
#13125651	2
#13125630	2
#13125604	2
#13124985	2
#13124944	2
#13124087	2
#13124077	2
#13124059	2
C₂×#11718833	2
#13123861	2
C₁₃×#3266	2
#61579	13