Subgroups — #16731387

Order 3328.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128223	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125087	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125085	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125084	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125082	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125078	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125076	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125075	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125073	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125027	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125025	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125022	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125020	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125019	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125017	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125014	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124768	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124764	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124634	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124628	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124298	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124298	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124064	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124060	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123647	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88168	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123641	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88165	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123470	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#518	C₂²	1	1	yes	characteristic
35	#11719503	C₂²	1	1	yes	characteristic
36	C₂×#88168	C₂²	1	1	yes	characteristic
37	C₂×#88168	C₂²	1	1	yes	characteristic
38	C₂×#88165	C₂²	1	1	yes	characteristic
39	C₂×#88165	C₂²	1	1	yes	characteristic
40	#11719438	C₂²	1	1	yes	characteristic, complemented
41	#11719433	C₂²	1	1	yes	characteristic, complemented
42	#11719412	—	2	1	no	—
43	#11719411	—	2	1	no	—
44	#11719387	C₂²	1	1	yes	characteristic, complemented
45	#11719385	—	2	1	no	—
46	#11719383	—	2	1	no	—
47	#11719373	C₂²	1	1	yes	characteristic, complemented
48	#11719362	—	2	1	no	—
49	#11719354	—	2	1	no	—
50	#11719343	—	2	1	no	—
51	#11719332	C₂²	1	1	yes	characteristic
52	#11719330	C₂²	1	1	yes	characteristic, complemented
53	#11719329	—	2	1	no	—
54	#11719324	C₂²	1	1	yes	characteristic, complemented
55	#11719311	C₂²	1	1	yes	characteristic
56	#11719288	C₂²	1	1	yes	characteristic, complemented
57	C₄×#6131	C₂²	1	1	yes	characteristic, complemented
58	#11719267	C₂²	1	1	yes	characteristic, complemented
59	#11719250	—	2	1	no	—
60	#11719250	—	2	1	no	—
61	#11719250	C₂²	1	1	yes	characteristic
62	#11719250	C₂²	1	1	yes	characteristic
63	#11719250	C₂²	1	1	yes	characteristic
64	#11719250	C₂²	1	1	yes	characteristic
65	C₄×D₄×D₁₃	—	2	1	no	—
66	C₄×D₄×D₁₃	—	2	1	no	—
67	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
70	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
71	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
72	#11719239	C₂²	1	1	yes	characteristic, complemented
73	#11719226	C₂²	1	1	yes	characteristic
74	#11719226	C₂²	1	1	yes	characteristic
75	D₁₃×#117	C₂²	1	1	yes	characteristic
76	D₁₃×#117	C₂²	1	1	yes	characteristic
77	#11719191	—	2	1	no	—
78	#11719191	—	2	1	no	—
79	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
80	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
81	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#450	C₂²	1	1	yes	characteristic
88	C₁₃×#447	C₂²	1	1	yes	characteristic
89	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
94	#11718879	C₂²	1	1	yes	characteristic
95	#11718878	C₂²	1	1	yes	characteristic
96	#11718830	C₂²	1	1	yes	characteristic
97	#11718830	C₂²	1	1	yes	characteristic
98	#11718825	C₂²	1	1	yes	characteristic, complemented
99	#11718823	C₂²	1	1	yes	characteristic, complemented
100	#11718823	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
102	#11718817	C₂²	1	1	yes	characteristic
103	#11718817	C₂²	1	1	yes	characteristic
104	#11718813	C₂²	1	1	yes	characteristic, complemented
105	#11718811	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718748	C₂²	1	1	yes	characteristic, complemented
109	#11718745	C₂²	1	1	yes	characteristic, complemented
110	#11718718	C₂²	1	1	yes	characteristic, complemented
111	#11718718	C₂²	1	1	yes	characteristic, complemented
112	#11718707	C₂²	1	1	yes	characteristic
113	#11718706	C₂²	1	1	yes	characteristic, complemented
114	#11718697	C₂²	1	1	yes	characteristic
115	#11718696	C₂²	1	1	yes	characteristic, complemented
116	#11718687	C₂²	1	1	yes	characteristic, complemented
117	C₄×#6106	C₂²	1	1	yes	characteristic, complemented
118	#11718679	C₂²	1	1	yes	characteristic, complemented
119	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
120	#11718677	C₂²	1	1	yes	characteristic, complemented
121	#11718677	C₂²	1	1	yes	characteristic, complemented
122	#11718675	C₂²	1	1	yes	characteristic, complemented
123	#11718675	C₂²	1	1	yes	characteristic, complemented
124	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
126	#11718669	C₂²	1	1	yes	characteristic, complemented
127	#11718668	C₂²	1	1	yes	characteristic, complemented
128	#11718664	C₂²	1	1	yes	characteristic, complemented
129	#11718661	C₂²	1	1	yes	characteristic, complemented
130	#11718657	C₂²	1	1	yes	characteristic, complemented
131	#11718552	C₂²	1	1	yes	characteristic, complemented
132	#11718552	C₂²	1	1	yes	characteristic, complemented
133	#11718550	C₂²	1	1	yes	characteristic, complemented
134	#11718549	C₂²	1	1	yes	characteristic, complemented
135	#11718546	C₂²	1	1	yes	characteristic, complemented
136	#11718542	C₂²	1	1	yes	characteristic, complemented
137	#11718542	C₂²	1	1	yes	characteristic, complemented
138	#11718533	C₂²	1	1	yes	characteristic, complemented
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718532	C₂²	1	1	yes	characteristic, complemented
141	#11718530	C₂²	1	1	yes	characteristic, complemented
142	#11718528	C₂²	1	1	yes	characteristic, complemented
143	#11718527	C₂²	1	1	yes	characteristic, complemented
144	#11718522	C₂²	1	1	yes	characteristic, complemented
145	#11718522	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718507	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718505	C₂²	1	1	yes	characteristic, complemented
150	#11718503	C₂²	1	1	yes	characteristic, complemented
151	#11718501	C₂²	1	1	yes	characteristic, complemented
152	#11718501	C₂²	1	1	yes	characteristic, complemented
153	#11718498	C₂²	1	1	yes	characteristic, complemented
154	#11718498	C₂²	1	1	yes	characteristic, complemented
155	#11718479	C₂²	1	1	yes	characteristic, complemented
156	#11718479	C₂²	1	1	yes	characteristic, complemented
157	#11718478	C₂²	1	1	yes	characteristic, complemented
158	#11718476	C₂²	1	1	yes	characteristic, complemented
159	#11718475	C₂²	1	1	yes	characteristic, complemented
160	#11718464	C₂²	1	1	yes	characteristic, complemented
161	#11718464	C₂²	1	1	yes	characteristic, complemented
162	#11718449	C₂²	1	1	yes	characteristic, complemented
163	#11718447	C₂²	1	1	yes	characteristic, complemented
164	#11718447	C₂²	1	1	yes	characteristic, complemented
165	#11718446	C₂²	1	1	yes	characteristic, complemented
166	#11718446	C₂²	1	1	yes	characteristic, complemented
167	#11718445	C₂²	1	1	yes	characteristic, complemented
168	#11718440	C₂²	1	1	yes	characteristic, complemented
169	#11718437	C₂²	1	1	yes	characteristic
170	#11718437	C₂²	1	1	yes	characteristic
171	#11718434	C₂²	1	1	yes	characteristic
172	#11718434	C₂²	1	1	yes	characteristic
173	#11718432	C₂²	1	1	yes	characteristic, complemented
174	#11718432	C₂²	1	1	yes	characteristic, complemented
175	#11718431	C₂²	1	1	yes	characteristic
176	#11718431	C₂²	1	1	yes	characteristic
177	#11718431	C₂²	1	1	yes	characteristic
178	#11718431	C₂²	1	1	yes	characteristic
179	#11718427	C₂²	1	1	yes	characteristic, complemented
180	#11718427	C₂²	1	1	yes	characteristic, complemented
181	#11718424	C₂²	1	1	yes	characteristic, complemented
182	#11718424	C₂²	1	1	yes	characteristic, complemented
183	#11718419	C₂²	1	1	yes	characteristic, complemented
184	#11718418	C₂²	1	1	yes	characteristic, complemented
185	#11718417	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718398	C₂²	1	1	yes	characteristic, complemented
188	#11718393	C₂²	1	1	yes	characteristic
189	#11718392	C₂²	1	1	yes	characteristic
190	#11718387	C₂²	1	1	yes	characteristic
191	#11718387	C₂²	1	1	yes	characteristic
192	#11718384	C₂²	1	1	yes	characteristic, complemented
193	#11718381	C₂²	1	1	yes	characteristic, complemented
194	#11718381	C₂²	1	1	yes	characteristic, complemented
195	#11718372	C₂²	1	1	yes	characteristic, complemented
196	#11718371	C₂²	1	1	yes	characteristic, complemented
197	#11718370	C₂²	1	1	yes	characteristic, complemented
198	#11718368	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718351	C₂²	1	1	yes	characteristic, complemented
202	C₄×#6094	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₁₃	—	2	1	no	—
206	C₂×#6131	C₂³	1	1	yes	characteristic
207	C₂×#6129	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₁₃	—	2	4	no	—
209	C₂×D₄×D₁₃	—	2	4	no	—
210	C₂×D₄×D₁₃	—	2	1	no	—
211	C₂×D₄×D₁₃	—	2	1	no	—
212	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂²×D₅₂	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₁₃	—	2	1	no	—
218	C₂²×C₄×D₁₃	—	2	1	no	—
219	C₂²×C₄×D₁₃	—	2	1	no	—
220	C₂²×C₄×D₁₃	—	2	1	no	—
221	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
227	C₁₃×#126	—	2	1	no	—
228	C₁₃×#124	—	2	1	no	—
229	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
230	C₁₃×#123	—	2	1	no	—
231	C₁₃×C₂²⋊Q₈	—	2	1	no	—
232	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×#121	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
242	C₁₃×#117	C₂³	1	1	yes	characteristic
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
245	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
246	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
247	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
248	#88201	—	2	1	no	—
249	#88200	—	2	1	no	—
250	#88200	—	2	1	no	—
251	#88200	C₂³	1	1	yes	characteristic
252	Q₈×Dic₁₃	—	2	1	no	—
253	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
254	#88198	C₂³	1	1	yes	characteristic, complemented
255	C₂×#6106	C₂³	1	1	yes	characteristic
256	C₂×#6106	C₂³	1	1	yes	characteristic
257	#88194	C₂³	1	1	yes	characteristic, complemented
258	#88193	—	2	1	no	—
259	#88192	—	2	1	no	—
260	#88192	C₂³	1	1	yes	characteristic
261	#88191	—	2	1	no	—
262	D₄×Dic₁₃	—	2	1	no	—
263	D₄×Dic₁₃	—	2	1	no	—
264	D₄×Dic₁₃	—	2	1	no	—
265	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
267	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
270	C₂×#6105	C₂³	1	1	yes	characteristic
271	C₂×#6105	C₂³	1	1	yes	characteristic
272	C₂×#6104	C₂³	1	1	yes	characteristic
273	C₂×#6104	C₂³	1	1	yes	characteristic
274	C₂×#6104	C₂³	1	1	yes	characteristic
275	C₂×#6104	C₂³	1	1	yes	characteristic
276	#88184	—	2	1	no	—
277	#88184	C₂³	1	1	yes	characteristic
278	#88183	—	2	1	no	—
279	C₄×C₂²⋊D₁₃	—	2	1	no	—
280	C₄×C₂²⋊D₁₃	—	2	1	no	—
281	C₄×C₂²⋊D₁₃	—	2	1	no	—
282	C₄×C₂²⋊D₁₃	—	2	1	no	—
283	C₄×C₂²⋊D₁₃	—	2	1	no	—
284	C₄×C₂²⋊D₁₃	—	2	1	no	—
285	C₄×C₂²⋊D₁₃	—	2	1	no	—
286	C₄×C₂²⋊D₁₃	—	2	1	no	—
287	C₄×C₂²⋊D₁₃	—	2	1	no	—
288	C₂×#6103	—	2	1	no	—
289	C₂×#6103	—	2	1	no	—
290	C₂×#6103	—	2	1	no	—
291	C₂×#6103	—	2	1	no	—
292	#88180	C₂³	1	1	yes	characteristic
293	#88180	C₂³	1	1	yes	characteristic
294	#88178	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	—	2	1	no	—
296	#88168	—	2	4	no	—
297	#88168	—	2	4	no	—
298	#88165	—	2	4	no	—
299	#88165	—	2	4	no	—
300	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
301	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
302	C₂×#6095	C₂³	1	1	yes	characteristic
303	C₂×#6095	C₂³	1	1	yes	characteristic
304	C₂×#6094	C₂³	1	1	yes	characteristic
305	C₂×#6094	C₂³	1	1	yes	characteristic
306	C₂×#6094	C₂³	1	1	yes	characteristic
307	C₂×#6094	C₂³	1	1	yes	characteristic
308	#88152	—	2	1	no	—
309	#88152	—	2	1	no	—
310	#88152	—	2	1	no	—
311	#88151	—	2	1	no	—
312	#88151	C₂³	1	1	yes	characteristic
313	#88150	—	2	1	no	—
314	#88149	C₂³	1	1	yes	characteristic
315	#88148	—	2	1	no	—
316	#88148	—	2	1	no	—
317	#88147	—	2	1	no	—
318	#88147	—	2	1	no	—
319	#88147	—	2	1	no	—
320	#88147	—	2	1	no	—
321	#88147	C₂³	1	1	yes	characteristic
322	#88147	C₂³	1	1	yes	characteristic
323	#88147	C₂³	1	1	yes	characteristic
324	#88147	C₂³	1	1	yes	characteristic
325	#88147	C₂³	1	1	yes	characteristic, complemented
326	#88146	—	2	1	no	—
327	#88146	D₄	1	1	yes	characteristic
328	#88146	D₄	1	1	yes	characteristic
329	#88146	C₂³	1	1	yes	characteristic
330	#88146	C₂³	1	1	yes	characteristic
331	#88146	C₂³	1	1	yes	characteristic
332	#88146	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
334	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
335	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
336	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
337	#88144	—	2	1	no	—
338	#88144	C₂³	1	1	yes	characteristic, complemented
339	#88144	C₂³	1	1	yes	characteristic, complemented
340	#88143	—	2	1	no	—
341	#88143	—	2	1	no	—
342	#88141	—	2	1	no	—
343	#88141	C₂³	1	1	yes	characteristic, complemented
344	#88140	—	2	1	no	—
345	#88140	—	2	1	no	—
346	#88139	—	2	1	no	—
347	#88139	—	2	1	no	—
348	#88138	—	2	1	no	—
349	#88138	—	2	1	no	—
350	#88138	—	2	1	no	—
351	#88137	—	2	1	no	—
352	#88137	—	2	1	no	—
353	#88137	—	2	1	no	—
354	#88137	—	2	1	no	—
355	#88136	—	2	1	no	—
356	#88135	—	2	1	no	—
357	#88135	—	2	1	no	—
358	#88135	—	2	1	no	—
359	#88135	—	2	1	no	—
360	#88135	—	2	1	no	—
361	#88135	—	2	1	no	—
362	#88135	—	2	1	no	—
363	#88135	—	2	1	no	—
364	#88135	—	2	1	no	—
365	#88135	—	2	1	no	—
366	#88135	—	2	1	no	—
367	#88135	—	2	1	no	—
368	#88135	—	2	1	no	—
369	C₂²⋊C₄×D₁₃	—	2	1	no	—
370	C₂²⋊C₄×D₁₃	—	2	1	no	—
371	C₂²⋊C₄×D₁₃	—	2	1	no	—
372	C₂²⋊C₄×D₁₃	—	2	1	no	—
373	C₂²⋊C₄×D₁₃	—	2	1	no	—
374	C₂²⋊C₄×D₁₃	—	2	1	no	—
375	C₂²⋊C₄×D₁₃	—	2	1	no	—
376	C₂²⋊C₄×D₁₃	—	2	1	no	—
377	C₂²⋊C₄×D₁₃	—	2	1	no	—
378	C₂²⋊C₄×D₁₃	—	2	1	no	—
379	C₂²⋊C₄×D₁₃	—	2	1	no	—
380	C₂²⋊C₄×D₁₃	—	2	1	no	—
381	C₂²⋊C₄×D₁₃	—	2	1	no	—
382	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
383	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
384	#88133	—	2	1	no	—
385	#88133	—	2	1	no	—
386	#88133	—	2	1	no	—
387	#88132	—	2	1	no	—
388	#88131	—	2	1	no	—
389	#88131	—	2	1	no	—
390	#88131	D₄	1	1	yes	characteristic
391	#88131	D₄	1	1	yes	characteristic
392	#88130	—	2	1	no	—
393	#88129	C₂³	1	1	yes	characteristic, complemented
394	C₄×D₅₂	—	2	1	no	—
395	C₄×D₅₂	—	2	1	no	—
396	C₄×D₅₂	—	2	1	no	—
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	C₄×D₅₂	C₂³	1	1	yes	characteristic
399	C₄×D₅₂	C₂³	1	1	yes	characteristic
400	C₄×D₅₂	C₂³	1	1	yes	characteristic
401	C₄×D₅₂	C₂³	1	1	yes	characteristic, complemented
402	#88126	—	2	1	no	—
403	#88126	C₂³	1	1	yes	characteristic
404	#88126	C₂³	1	1	yes	characteristic
405	C₄²×D₁₃	—	2	1	no	—
406	C₄²×D₁₃	—	2	1	no	—
407	C₄²×D₁₃	C₂³	1	1	yes	characteristic
408	C₄²×D₁₃	C₂³	1	1	yes	characteristic
409	#88124	—	2	1	no	—
410	#88123	C₂³	1	1	yes	characteristic, complemented
411	C₄×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
412	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
413	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
414	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
415	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
418	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
419	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
420	C₁₃×#102	C₂³	1	1	yes	characteristic
421	C₁₃×#102	C₂³	1	1	yes	characteristic
422	C₁₃×#102	C₂³	1	1	yes	characteristic
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
425	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
426	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
429	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
430	#88075	C₂³	1	1	yes	characteristic, complemented
431	#88075	C₂³	1	1	yes	characteristic, complemented
432	#88072	C₂³	1	1	yes	characteristic
433	#88072	C₂³	1	1	yes	characteristic
434	#88072	C₂³	1	1	yes	characteristic
435	#88072	C₂³	1	1	yes	characteristic
436	#88072	C₂³	1	1	yes	characteristic, complemented
437	#88072	C₂³	1	1	yes	characteristic, complemented
438	C₂²⋊#1055	C₂³	1	1	yes	characteristic
439	C₂²⋊#1055	C₂³	1	1	yes	characteristic
440	#88061	C₂³	1	1	yes	characteristic
441	#88061	C₂³	1	1	yes	characteristic
442	#88061	C₂³	1	1	yes	characteristic
443	#88061	C₂³	1	1	yes	characteristic
444	#88061	C₂³	1	1	yes	characteristic, complemented
445	#88061	C₂³	1	1	yes	characteristic, complemented
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88060	C₂³	1	1	yes	characteristic
449	#88060	C₂³	1	1	yes	characteristic
450	#88058	C₂³	1	1	yes	characteristic, complemented
451	#88058	C₂³	1	1	yes	characteristic, complemented
452	#88057	C₂³	1	1	yes	characteristic, complemented
453	#88057	C₂³	1	1	yes	characteristic, complemented
454	#88056	C₂³	1	1	yes	characteristic, complemented
455	#88056	C₂³	1	1	yes	characteristic, complemented
456	#88055	C₂³	1	1	yes	characteristic, complemented
457	#88055	C₂³	1	1	yes	characteristic, complemented
458	#88054	C₂³	1	1	yes	characteristic, complemented
459	#88054	C₂³	1	1	yes	characteristic, complemented
460	#88054	C₂³	1	1	yes	characteristic, complemented
461	#88054	C₂³	1	1	yes	characteristic, complemented
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
464	#88050	C₂³	1	1	yes	characteristic, complemented
465	#88050	C₂³	1	1	yes	characteristic, complemented
466	#88049	C₂³	1	1	yes	characteristic
467	#88049	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic, complemented
471	#88049	C₂³	1	1	yes	characteristic, complemented
472	#88048	C₂³	1	1	yes	characteristic, complemented
473	#88048	C₂³	1	1	yes	characteristic, complemented
474	#88048	C₂³	1	1	yes	characteristic, complemented
475	#88048	C₂³	1	1	yes	characteristic, complemented
476	#88047	C₂³	1	1	yes	characteristic, complemented
477	#88047	C₂³	1	1	yes	characteristic, complemented
478	#88047	C₂³	1	1	yes	characteristic, complemented
479	#88047	C₂³	1	1	yes	characteristic, complemented
480	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
481	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
482	#88043	C₂³	1	1	yes	characteristic, complemented
483	C₄×#1055	C₂³	1	1	yes	characteristic, complemented
484	#60564	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	—	2	8	no	—
487	C₂³×D₁₃	—	2	1	no	—
488	C₂³×D₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	8	2	no	—
493	C₂³×D₁₃	—	8	2	no	—
494	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂×D₄×C₁₃	—	2	2	no	—
498	C₂×D₄×C₁₃	—	2	2	no	—
499	C₂×D₄×C₁₃	—	2	1	no	—
500	C₂×D₄×C₁₃	—	2	1	no	—
501	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₁₃	—	2	1	no	—
505	C₂²×C₄×C₁₃	—	2	1	no	—
506	C₂²×C₄×C₁₃	—	2	1	no	—
507	C₂²×C₄×C₁₃	—	2	1	no	—
508	C₂²×C₄×C₁₃	—	2	1	no	—
509	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₂×C₂²⋊D₁₃	—	2	8	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂×C₂²⋊D₁₃	—	2	1	no	—
513	C₂×C₂²⋊D₁₃	—	2	1	no	—
514	C₂×C₂²⋊D₁₃	—	2	1	no	—
515	C₂×C₂²⋊D₁₃	—	2	1	no	—
516	C₂×C₂²⋊D₁₃	—	2	1	no	—
517	C₂×C₂²⋊D₁₃	—	2	1	no	—
518	C₂×C₂²⋊D₁₃	—	2	1	no	—
519	C₂×C₂²⋊D₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	—	2	1	no	—
524	C₂²×Dic₁₃	—	2	1	no	—
525	C₂²×Dic₁₃	—	2	1	no	—
526	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
527	#6131	—	2	2	no	—
528	#6131	—	2	2	no	—
529	#6129	—	2	2	no	—
530	#6129	—	2	2	no	—
531	D₄×D₁₃	—	2	8	no	—
532	D₄×D₁₃	—	2	8	no	—
533	D₄×D₁₃	—	2	2	no	—
534	D₄×D₁₃	—	2	2	no	—
535	D₄×D₁₃	—	2	2	no	—
536	D₄×D₁₃	—	2	2	no	—
537	D₄×D₁₃	—	2	2	no	—
538	D₄×D₁₃	—	2	2	no	—
539	D₄×D₁₃	#41	1	4	yes	—
540	D₄×D₁₃	#41	1	4	yes	—
541	C₂×D₅₂	—	2	1	no	—
542	C₂×D₅₂	—	2	2	no	—
543	C₂×D₅₂	—	2	2	no	—
544	C₂×D₅₂	—	2	1	no	—
545	C₂×D₅₂	—	2	1	no	—
546	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
547	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
548	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
549	C₂×C₄×D₁₃	—	2	2	no	—
550	C₂×C₄×D₁₃	—	2	2	no	—
551	C₂×C₄×D₁₃	—	2	1	no	—
552	C₂×C₄×D₁₃	—	2	1	no	—
553	C₂×C₄×D₁₃	—	2	1	no	—
554	C₂×C₄×D₁₃	—	2	1	no	—
555	C₂×C₄×D₁₃	—	2	1	no	—
556	C₂×C₄×D₁₃	—	2	1	no	—
557	C₂×C₄×D₁₃	—	2	1	no	—
558	C₂×C₄×D₁₃	—	2	1	no	—
559	C₂×C₄×D₁₃	—	2	1	no	—
560	C₂×C₄×D₁₃	—	2	1	no	—
561	C₂×C₄×D₁₃	—	2	1	no	—
562	C₂×C₄×D₁₃	—	2	1	no	—
563	C₂×C₄×D₁₃	—	2	1	no	—
564	C₂×C₄×D₁₃	—	8	2	no	—
565	C₂×C₄×D₁₃	—	8	2	no	—
566	C₂×C₄×D₁₃	—	8	2	no	—
567	C₂×C₄×D₁₃	—	8	2	no	—
568	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₂₆	—	2	1	no	—
577	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
578	C₁₃×SD₁₆	—	2	2	no	—
579	C₁₃×SD₁₆	—	2	2	no	—
580	C₁₃×D₈	—	2	2	no	—
581	C₁₃×D₈	—	2	2	no	—
582	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₁₃×C₂²⋊C₄	—	2	1	no	—
596	C₁₃×C₂²⋊C₄	—	2	1	no	—
597	C₁₃×C₂²⋊C₄	—	2	1	no	—
598	C₁₃×C₂²⋊C₄	—	2	1	no	—
599	C₁₃×C₂²⋊C₄	—	2	1	no	—
600	C₁₃×C₂²⋊C₄	—	2	1	no	—
601	C₁₃×C₂²⋊C₄	—	2	1	no	—
602	C₁₃×C₂²⋊C₄	—	2	1	no	—
603	C₁₃×C₂²⋊C₄	—	2	1	no	—
604	C₁₃×C₂²⋊C₄	—	2	1	no	—
605	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₁₃	—	2	1	no	—
608	C₄²×C₁₃	—	2	1	no	—
609	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂²⋊Dic₁₃	—	2	1	no	—
612	C₂²⋊Dic₁₃	—	2	1	no	—
613	C₂²⋊Dic₁₃	—	2	1	no	—
614	C₂²⋊Dic₁₃	—	2	1	no	—
615	C₂²⋊Dic₁₃	—	2	1	no	—
616	C₂²⋊Dic₁₃	—	2	1	no	—
617	C₂²⋊Dic₁₃	—	2	1	no	—
618	C₂²⋊Dic₁₃	—	2	1	no	—
619	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
620	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
621	#6106	—	2	2	no	—
622	#6106	—	2	2	no	—
623	#6105	—	2	2	no	—
624	#6105	—	2	2	no	—
625	#6104	—	2	2	no	—
626	#6104	—	2	2	no	—
627	#6104	—	2	2	no	—
628	#6104	—	2	2	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	—	2	1	no	—
642	#6103	—	2	1	no	—
643	#6103	—	2	1	no	—
644	#6103	—	2	1	no	—
645	#6103	—	2	1	no	—
646	#6103	—	2	1	no	—
647	#6103	—	2	1	no	—
648	#6103	—	2	1	no	—
649	#6103	C₂×D₄	1	1	yes	characteristic
650	#6103	C₂×D₄	1	1	yes	characteristic
651	#6103	C₂×D₄	1	1	yes	characteristic
652	#6103	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₁₃	—	2	1	no	—
654	C₄⋊Dic₁₃	—	2	1	no	—
655	C₄⋊Dic₁₃	—	2	1	no	—
656	C₄⋊Dic₁₃	—	2	1	no	—
657	C₄⋊Dic₁₃	—	2	1	no	—
658	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
659	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
660	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	—	2	1	no	—
674	#6101	C₂×D₄	1	1	yes	characteristic
675	#6101	C₂×D₄	1	1	yes	characteristic
676	#6101	C₂×D₄	1	1	yes	characteristic
677	#6101	C₂×D₄	1	1	yes	characteristic
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	—	2	1	no	—
681	C₄×Dic₁₃	—	2	1	no	—
682	C₄×Dic₁₃	—	2	1	no	—
683	C₄×Dic₁₃	—	2	1	no	—
684	C₄×Dic₁₃	—	2	1	no	—
685	C₄×Dic₁₃	—	2	1	no	—
686	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
692	C₂×#1055	C₂⁴	1	1	yes	characteristic
693	C₂×#1055	C₂⁴	1	1	yes	characteristic
694	C₂×#1055	C₂⁴	1	1	yes	characteristic
695	C₂×#1055	C₂⁴	1	1	yes	characteristic
696	D₁₀₄	—	2	2	no	—
697	D₁₀₄	—	2	2	no	—
698	#6095	—	2	2	no	—
699	#6095	—	2	2	no	—
700	#6094	—	2	2	no	—
701	#6094	—	2	2	no	—
702	#6094	—	2	2	no	—
703	#6094	—	2	2	no	—
704	#3455	—	13	1	no	—
705	C₂×#518	—	13	1	no	—
706	#3123	—	13	1	no	—
707	#3123	—	13	1	no	—
708	#3123	—	13	1	no	—
709	#3123	—	13	1	no	—
710	#3122	—	13	1	no	—
711	#3122	—	13	1	no	—
712	#3122	—	13	1	no	—
713	#3122	—	13	1	no	—
714	#3118	—	13	1	no	—
715	#3118	—	13	1	no	—
716	#3118	—	13	1	no	—
717	#3118	—	13	1	no	—
718	#3118	—	13	1	no	—
719	#3118	—	13	1	no	—
720	#3118	—	13	1	no	—
721	#3118	D₁₃	1	1	yes	characteristic, complemented
722	#3093	—	13	1	no	—
723	#3093	—	13	1	no	—
724	#3077	—	13	1	no	—
725	#3077	—	13	1	no	—
726	#3036	—	13	1	no	—
727	#3036	—	13	1	no	—
728	#3003	—	13	1	no	—
729	#3003	—	13	1	no	—
730	C₄×AGL(1,ℤ/8)	—	13	1	no	—
731	C₄×AGL(1,ℤ/8)	—	13	1	no	—
732	C₄×AGL(1,ℤ/8)	—	13	1	no	—
733	C₄×AGL(1,ℤ/8)	—	13	1	no	—
734	#2921	—	13	1	no	—
735	C₂³×C₁₃	—	2	4	no	—
736	C₂³×C₁₃	—	2	1	no	—
737	C₂³×C₁₃	—	2	1	no	—
738	C₂³×C₁₃	—	2	1	no	—
739	C₂³×C₁₃	—	8	1	no	—
740	C₂³×C₁₃	—	8	1	no	—
741	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
742	C₂²×D₁₃	—	2	1	no	—
743	C₂²×D₁₃	—	2	1	no	—
744	C₂²×D₁₃	—	2	4	no	—
745	C₂²×D₁₃	—	2	4	no	—
746	C₂²×D₁₃	—	2	4	no	—
747	C₂²×D₁₃	—	2	2	no	—
748	C₂²×D₁₃	—	2	4	no	—
749	C₂²×D₁₃	—	2	4	no	—
750	C₂²×D₁₃	—	2	1	no	—
751	C₂²×D₁₃	—	4	1	no	—
752	C₂²×D₁₃	—	4	1	no	—
753	C₂²×D₁₃	—	4	2	no	—
754	C₂²×D₁₃	—	4	2	no	—
755	C₂²×D₁₃	—	4	2	no	—
756	C₂²×D₁₃	—	4	2	no	—
757	C₂²×D₁₃	—	8	1	no	—
758	C₂²×D₁₃	—	8	1	no	—
759	C₂²×D₁₃	—	8	1	no	—
760	C₂²×D₁₃	—	8	1	no	—
761	C₂²×D₁₃	—	8	16	no	—
762	C₂²×D₁₃	—	8	1	no	—
763	C₂²×D₁₃	—	8	1	no	—
764	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
765	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
766	Q₈×C₁₃	—	2	1	no	—
767	Q₈×C₁₃	—	2	1	no	—
768	Q₈×C₁₃	—	8	1	no	—
769	D₄×C₁₃	—	2	4	no	—
770	D₄×C₁₃	—	2	1	no	—
771	D₄×C₁₃	—	2	1	no	—
772	D₄×C₁₃	—	2	1	no	—
773	D₄×C₁₃	—	2	1	no	—
774	D₄×C₁₃	—	8	1	no	—
775	D₄×C₁₃	C₂×#41	1	2	yes	—
776	D₄×C₁₃	C₂×#41	1	2	yes	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	8	1	no	—
785	C₂×C₄×C₁₃	—	8	1	no	—
786	C₂×C₄×C₁₃	—	8	1	no	—
787	C₂×C₄×C₁₃	—	8	1	no	—
788	C₂×C₄×C₁₃	—	8	1	no	—
789	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
793	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
794	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
795	C₂²⋊D₁₃	—	2	4	no	—
796	C₂²⋊D₁₃	—	2	4	no	—
797	C₂²⋊D₁₃	—	2	4	no	—
798	C₂²⋊D₁₃	—	2	4	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂²⋊D₁₃	—	8	1	no	—
801	C₂²⋊D₁₃	—	8	1	no	—
802	C₂²⋊D₁₃	—	8	1	no	—
803	C₂²⋊D₁₃	—	8	1	no	—
804	C₂×Dic₁₃	—	2	2	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	2	1	no	—
808	C₂×Dic₁₃	—	2	1	no	—
809	C₂×Dic₁₃	—	2	1	no	—
810	C₂×Dic₁₃	—	4	2	no	—
811	C₂×Dic₁₃	—	8	1	no	—
812	C₂×Dic₁₃	—	8	1	no	—
813	C₂×Dic₁₃	—	8	1	no	—
814	C₂×Dic₁₃	—	8	1	no	—
815	C₂×Dic₁₃	—	8	1	no	—
816	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
819	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
820	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
822	D₅₂	—	2	4	no	—
823	D₅₂	—	2	1	no	—
824	D₅₂	—	2	1	no	—
825	D₅₂	—	2	1	no	—
826	D₅₂	—	2	1	no	—
827	D₅₂	—	4	2	no	—
828	D₅₂	—	8	1	no	—
829	D₅₂	C₂×#41	1	2	yes	—
830	D₅₂	C₂×#41	1	2	yes	—
831	C₄×D₁₃	—	2	2	no	—
832	C₄×D₁₃	—	2	1	no	—
833	C₄×D₁₃	—	2	1	no	—
834	C₄×D₁₃	—	2	2	no	—
835	C₄×D₁₃	—	4	1	no	—
836	C₄×D₁₃	—	4	1	no	—
837	C₄×D₁₃	—	4	1	no	—
838	C₄×D₁₃	—	4	1	no	—
839	C₄×D₁₃	—	4	2	no	—
840	C₄×D₁₃	—	4	2	no	—
841	C₄×D₁₃	—	4	2	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	—	8	1	no	—
845	C₄×D₁₃	—	8	1	no	—
846	C₄×D₁₃	—	8	1	no	—
847	C₄×D₁₃	—	8	1	no	—
848	C₄×D₁₃	—	8	1	no	—
849	C₄×D₁₃	—	8	1	no	—
850	C₄×D₁₃	—	8	1	no	—
851	C₄×D₁₃	—	8	1	no	—
852	C₄×D₁₃	C₂×#41	1	2	yes	—
853	C₄×D₁₃	C₂×#41	1	2	yes	—
854	Dic₂₆	—	2	1	no	—
855	Dic₂₆	—	2	1	no	—
856	Dic₂₆	—	8	1	no	—
857	C₈×C₁₃	—	2	1	no	—
858	C₈×C₁₃	—	2	1	no	—
859	C₈×C₁₃	—	2	1	no	—
860	C₈×C₁₃	—	2	1	no	—
861	#1055	—	2	1	no	—
862	#1055	—	2	1	no	—
863	#1055	—	2	1	no	—
864	#1055	—	2	1	no	—
865	C₂³×D₄	—	13	1	no	—
866	C₂×AGL(1,ℤ/8)	—	13	1	no	—
867	C₂×AGL(1,ℤ/8)	—	13	1	no	—
868	C₂×AGL(1,ℤ/8)	—	13	1	no	—
869	C₂×AGL(1,ℤ/8)	—	13	1	no	—
870	#542	—	13	1	no	—
871	#542	—	13	1	no	—
872	#542	—	13	1	no	—
873	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
874	#541	—	13	1	no	—
875	#541	—	13	1	no	—
876	#540	—	13	1	no	—
877	#540	—	13	1	no	—
878	#539	—	26	1	no	—
879	#539	—	26	1	no	—
880	#538	—	26	1	no	—
881	#538	—	26	1	no	—
882	#533	—	13	1	no	—
883	#532	—	13	1	no	—
884	#529	—	26	1	no	—
885	#529	—	26	1	no	—
886	#529	—	26	1	no	—
887	#529	—	26	1	no	—
888	#525	—	13	1	no	—
889	#525	—	13	1	no	—
890	#518	—	13	1	no	—
891	#518	—	13	1	no	—
892	#518	—	13	1	no	—
893	#518	—	13	1	no	—
894	#518	—	13	1	no	—
895	#518	—	13	1	no	—
896	#518	—	13	1	no	—
897	#518	—	26	1	no	—
898	#518	—	26	1	no	—
899	#518	—	26	1	no	—
900	#518	—	26	1	no	—
901	#518	C₂×D₁₃	1	1	yes	characteristic
902	C₄×#41	—	13	1	no	—
903	C₄×#41	—	13	1	no	—
904	C₂×C₄×D₄	—	13	1	no	—
905	C₂×C₄×D₄	—	13	1	no	—
906	C₂×C₄×D₄	—	13	1	no	—
907	C₂×C₄×D₄	—	13	1	no	—
908	C₂×C₄×D₄	—	26	1	no	—
909	C₂×C₄×D₄	—	26	1	no	—
910	C₂×#117	—	13	1	no	—
911	C₂×#117	—	13	1	no	—
912	C₂²×C₂²⋊C₄	—	26	1	no	—
913	C₂²×C₂²⋊C₄	—	26	1	no	—
914	#485	—	13	1	no	—
915	#485	—	13	1	no	—
916	#485	—	13	1	no	—
917	#485	—	13	1	no	—
918	#485	—	13	1	no	—
919	#485	—	13	1	no	—
920	#485	—	13	1	no	—
921	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
922	#482	—	13	1	no	—
923	#482	—	13	1	no	—
924	#482	—	13	1	no	—
925	#482	—	13	1	no	—
926	#482	—	13	1	no	—
927	#482	—	13	1	no	—
928	#482	—	13	1	no	—
929	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
930	#478	—	13	1	no	—
931	#478	—	13	1	no	—
932	#478	—	13	1	no	—
933	#478	—	13	1	no	—
934	#478	—	13	1	no	—
935	#478	—	13	1	no	—
936	#478	—	13	1	no	—
937	#478	—	13	1	no	—
938	#476	—	13	1	no	—
939	#476	—	13	1	no	—
940	#476	—	13	1	no	—
941	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
942	#474	—	13	1	no	—
943	#474	—	13	1	no	—
944	#474	—	13	1	no	—
945	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
946	#463	—	13	1	no	—
947	#463	—	13	1	no	—
948	#463	—	13	1	no	—
949	#463	—	13	1	no	—
950	#463	—	13	1	no	—
951	#463	—	13	1	no	—
952	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
953	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
954	#461	—	13	1	no	—
955	#461	—	13	1	no	—
956	#461	—	13	1	no	—
957	#461	—	13	1	no	—
958	#459	—	13	1	no	—
959	#459	—	13	1	no	—
960	#459	—	13	1	no	—
961	#459	—	13	1	no	—
962	#450	—	13	1	no	—
963	#450	—	13	1	no	—
964	#450	—	13	1	no	—
965	#450	—	13	1	no	—
966	#450	—	13	1	no	—
967	#450	—	13	1	no	—
968	#450	—	13	1	no	—
969	#450	C₂×D₁₃	1	1	yes	characteristic
970	#447	—	13	1	no	—
971	#447	—	13	1	no	—
972	#447	—	13	1	no	—
973	#447	—	13	1	no	—
974	#447	—	13	1	no	—
975	#447	—	13	1	no	—
976	#447	—	13	1	no	—
977	#447	C₂×D₁₃	1	1	yes	characteristic
978	#442	—	13	1	no	—
979	#442	—	13	1	no	—
980	#442	—	13	1	no	—
981	#442	—	13	1	no	—
982	#442	—	13	1	no	—
983	#442	—	13	1	no	—
984	#442	—	13	1	no	—
985	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
986	#440	—	13	1	no	—
987	#440	—	13	1	no	—
988	#440	—	13	1	no	—
989	#440	—	13	1	no	—
990	#440	—	13	1	no	—
991	#440	—	13	1	no	—
992	#440	—	13	1	no	—
993	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
994	C₄×SD₁₆	—	13	1	no	—
995	C₄×SD₁₆	—	13	1	no	—
996	C₄×SD₁₆	—	13	1	no	—
997	C₄×SD₁₆	—	13	1	no	—
998	C₄×SD₁₆	—	13	1	no	—
999	C₄×SD₁₆	—	13	1	no	—
1000	C₄×SD₁₆	—	13	1	no	—
1001	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	C₄×D₈	—	13	1	no	—
1003	C₄×D₈	—	13	1	no	—
1004	C₄×D₈	—	13	1	no	—
1005	C₄×D₈	—	13	1	no	—
1006	C₄×D₈	—	13	1	no	—
1007	C₄×D₈	—	13	1	no	—
1008	C₄×D₈	—	13	1	no	—
1009	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1010	#433	—	13	1	no	—
1011	#433	—	13	1	no	—
1012	#433	—	13	1	no	—
1013	#433	—	13	1	no	—
1014	#433	—	13	1	no	—
1015	#433	—	13	1	no	—
1016	#433	—	13	1	no	—
1017	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1018	#428	—	13	1	no	—
1019	#428	—	13	1	no	—
1020	#428	—	13	1	no	—
1021	#428	—	13	1	no	—
1022	#423	—	13	1	no	—
1023	#423	—	13	1	no	—
1024	#418	—	13	1	no	—
1025	#418	—	13	1	no	—
1026	#418	—	13	1	no	—
1027	#418	—	13	1	no	—
1028	#417	—	13	1	no	—
1029	#417	—	13	1	no	—
1030	#417	—	13	1	no	—
1031	#417	—	13	1	no	—
1032	#407	—	13	1	no	—
1033	#407	—	13	1	no	—
1034	C₄×M₁₆	—	13	1	no	—
1035	C₄×M₁₆	—	13	1	no	—
1036	C₂²×C₁₃	—	2	1	no	—
1037	C₂²×C₁₃	—	2	1	no	—
1038	C₂²×C₁₃	—	2	1	no	—
1039	C₂²×C₁₃	—	2	2	no	—
1040	C₂²×C₁₃	—	2	2	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	4	1	no	—
1043	C₂²×C₁₃	—	4	1	no	—
1044	C₂²×C₁₃	—	4	1	no	—
1045	C₂²×C₁₃	—	4	1	no	—
1046	C₂²×C₁₃	—	4	1	no	—
1047	C₂²×C₁₃	—	4	1	no	—
1048	C₂²×C₁₃	—	8	4	no	—
1049	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1050	C₂×D₁₃	—	2	1	no	—
1051	C₂×D₁₃	—	2	1	no	—
1052	C₂×D₁₃	—	2	1	no	—
1053	C₂×D₁₃	—	2	1	no	—
1054	C₂×D₁₃	—	2	1	no	—
1055	C₂×D₁₃	—	2	2	no	—
1056	C₂×D₁₃	—	2	2	no	—
1057	C₂×D₁₃	—	4	8	no	—
1058	C₂×D₁₃	—	4	8	no	—
1059	C₂×D₁₃	—	4	4	no	—
1060	C₂×D₁₃	—	4	1	no	—
1061	C₂×D₁₃	—	4	1	no	—
1062	C₂×D₁₃	—	4	1	no	—
1063	C₂×D₁₃	—	4	1	no	—
1064	C₂×D₁₃	—	4	1	no	—
1065	C₂×D₁₃	—	4	1	no	—
1066	C₂×D₁₃	—	4	1	no	—
1067	C₂×D₁₃	—	8	4	no	—
1068	C₂×D₁₃	—	8	4	no	—
1069	C₂×D₁₃	—	8	4	no	—
1070	C₂×D₁₃	#525	1	2	yes	—
1071	C₄×C₁₃	—	2	1	no	—
1072	C₄×C₁₃	—	2	1	no	—
1073	C₄×C₁₃	—	2	1	no	—
1074	C₄×C₁₃	—	2	1	no	—
1075	C₄×C₁₃	—	2	1	no	—
1076	C₄×C₁₃	—	4	1	no	—
1077	C₄×C₁₃	—	4	1	no	—
1078	C₄×C₁₃	—	4	1	no	—
1079	C₄×C₁₃	—	4	1	no	—
1080	C₄×C₁₃	—	4	1	no	—
1081	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1082	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1083	Dic₁₃	—	2	1	no	—
1084	Dic₁₃	—	2	1	no	—
1085	Dic₁₃	—	2	1	no	—
1086	Dic₁₃	—	2	1	no	—
1087	Dic₁₃	—	2	1	no	—
1088	Dic₁₃	—	4	1	no	—
1089	Dic₁₃	—	4	1	no	—
1090	Dic₁₃	—	4	1	no	—
1091	Dic₁₃	—	4	1	no	—
1092	Dic₁₃	—	4	1	no	—
1093	Dic₁₃	#525	1	2	yes	—
1094	C₂⁵	—	26	1	no	—
1095	C₂×#41	—	13	1	no	—
1096	C₂×#41	—	13	1	no	—
1097	C₂²×D₄	—	13	1	no	—
1098	C₂²×D₄	—	13	1	no	—
1099	C₂²×D₄	—	13	1	no	—
1100	C₂²×D₄	—	13	1	no	—
1101	C₂²×D₄	—	13	1	no	—
1102	C₂²×D₄	—	26	1	no	—
1103	C₂²×D₄	—	26	1	no	—
1104	C₂²×D₄	—	26	1	no	—
1105	C₂²×D₄	—	26	4	no	—
1106	C₂²×D₄	—	26	4	no	—
1107	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1108	C₂³×C₄	—	13	1	no	—
1109	C₂³×C₄	—	26	1	no	—
1110	C₂³×C₄	—	26	1	no	—
1111	C₂³×C₄	—	26	1	no	—
1112	C₂³×C₄	—	26	1	no	—
1113	AGL(1,ℤ/8)	—	26	4	no	—
1114	AGL(1,ℤ/8)	—	26	4	no	—
1115	AGL(1,ℤ/8)	—	26	4	no	—
1116	AGL(1,ℤ/8)	—	26	4	no	—
1117	C₂×SD₁₆	—	13	1	no	—
1118	C₂×SD₁₆	—	13	1	no	—
1119	C₂×SD₁₆	—	13	1	no	—
1120	C₂×SD₁₆	—	13	1	no	—
1121	C₂×SD₁₆	—	13	1	no	—
1122	C₂×SD₁₆	—	13	1	no	—
1123	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1124	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂×D₈	—	13	1	no	—
1126	C₂×D₈	—	13	1	no	—
1127	C₂×D₈	—	13	1	no	—
1128	C₂×D₈	—	13	1	no	—
1129	C₂×D₈	—	13	1	no	—
1130	C₂×D₈	—	13	1	no	—
1131	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂×M₁₆	—	13	1	no	—
1134	C₂×M₁₆	—	13	1	no	—
1135	C₂×M₁₆	—	13	1	no	—
1136	C₂×M₁₆	—	13	1	no	—
1137	C₄⋊Q₈	—	13	1	no	—
1138	C₄⋊Q₈	—	13	1	no	—
1139	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1140	#127	—	13	1	no	—
1141	#126	—	2	1	no	—
1142	#126	—	26	1	no	—
1143	#126	—	26	1	no	—
1144	#126	—	26	1	no	—
1145	#126	—	26	1	no	—
1146	#126	—	26	1	no	—
1147	#126	—	26	1	no	—
1148	#126	—	26	1	no	—
1149	#125	—	13	1	no	—
1150	#125	—	13	1	no	—
1151	#125	—	26	1	no	—
1152	#125	—	26	1	no	—
1153	#125	—	26	1	no	—
1154	#125	—	26	1	no	—
1155	#124	—	2	1	no	—
1156	#124	—	13	1	no	—
1157	#124	—	26	1	no	—
1158	#124	—	26	1	no	—
1159	#124	—	26	1	no	—
1160	#124	C₂²×D₁₃	1	1	yes	characteristic, complemented
1161	#123	—	2	1	no	—
1162	#123	—	26	1	no	—
1163	#123	—	26	1	no	—
1164	#123	—	26	1	no	—
1165	#123	—	26	1	no	—
1166	#123	—	26	1	no	—
1167	#123	—	26	1	no	—
1168	#123	—	26	1	no	—
1169	#123	—	26	1	no	—
1170	#123	—	26	1	no	—
1171	C₂²⋊Q₈	—	2	1	no	—
1172	C₂²⋊Q₈	—	13	1	no	—
1173	C₂²⋊Q₈	—	13	1	no	—
1174	C₂²⋊Q₈	—	13	1	no	—
1175	C₂²⋊Q₈	—	26	1	no	—
1176	C₂²⋊Q₈	—	26	1	no	—
1177	C₂²⋊Q₈	—	26	1	no	—
1178	C₂²⋊Q₈	—	26	1	no	—
1179	C₂²⋊Q₈	—	26	1	no	—
1180	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1181	#121	—	13	1	no	—
1182	#121	—	13	1	no	—
1183	#121	—	13	1	no	—
1184	#121	—	26	1	no	—
1185	#121	—	26	1	no	—
1186	#121	—	26	1	no	—
1187	#121	—	26	1	no	—
1188	#121	—	26	1	no	—
1189	#121	—	26	1	no	—
1190	#121	C₂²×D₁₃	1	1	yes	characteristic
1191	#120	—	26	1	no	—
1192	#120	—	26	1	no	—
1193	C₄×Q₈	—	13	1	no	—
1194	C₄×Q₈	—	13	1	no	—
1195	C₄×Q₈	—	13	1	no	—
1196	C₄×Q₈	—	26	1	no	—
1197	C₄×Q₈	—	26	1	no	—
1198	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1199	C₄×D₄	—	2	1	no	—
1200	C₄×D₄	—	2	1	no	—
1201	C₄×D₄	—	13	1	no	—
1202	C₄×D₄	—	13	1	no	—
1203	C₄×D₄	—	13	1	no	—
1204	C₄×D₄	—	13	1	no	—
1205	C₄×D₄	—	13	1	no	—
1206	C₄×D₄	—	13	1	no	—
1207	C₄×D₄	—	13	1	no	—
1208	C₄×D₄	—	13	1	no	—
1209	C₄×D₄	—	13	1	no	—
1210	C₄×D₄	—	13	1	no	—
1211	C₄×D₄	—	13	1	no	—
1212	C₄×D₄	—	13	1	no	—
1213	C₄×D₄	—	13	1	no	—
1214	C₄×D₄	—	13	1	no	—
1215	C₄×D₄	—	13	1	no	—
1216	C₄×D₄	—	26	1	no	—
1217	C₄×D₄	—	26	1	no	—
1218	C₄×D₄	—	26	1	no	—
1219	C₄×D₄	—	26	1	no	—
1220	C₄×D₄	—	26	1	no	—
1221	C₄×D₄	—	26	1	no	—
1222	C₄×D₄	—	26	1	no	—
1223	C₄×D₄	—	26	1	no	—
1224	C₄×D₄	—	26	1	no	—
1225	C₄×D₄	—	26	1	no	—
1226	C₄×D₄	—	26	1	no	—
1227	C₄×D₄	—	26	1	no	—
1228	C₄×D₄	—	26	1	no	—
1229	C₄×D₄	—	26	1	no	—
1230	C₄×D₄	—	26	1	no	—
1231	C₄×D₄	—	26	1	no	—
1232	C₄×D₄	—	26	1	no	—
1233	C₄×D₄	—	26	1	no	—
1234	C₄×D₄	—	26	1	no	—
1235	C₄×D₄	—	26	1	no	—
1236	C₄×D₄	—	26	1	no	—
1237	C₄×D₄	—	26	1	no	—
1238	C₄×D₄	—	26	1	no	—
1239	C₄×D₄	—	26	1	no	—
1240	C₄×D₄	—	26	1	no	—
1241	C₄×D₄	—	26	1	no	—
1242	C₄×D₄	—	26	1	no	—
1243	C₄×D₄	—	26	1	no	—
1244	C₄×D₄	—	26	1	no	—
1245	C₄×D₄	—	26	1	no	—
1246	C₄×D₄	—	26	1	no	—
1247	C₄×D₄	—	26	1	no	—
1248	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1249	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1250	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1251	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1252	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1253	#117	—	13	1	no	—
1254	#117	—	13	1	no	—
1255	#117	—	13	1	no	—
1256	#117	—	13	1	no	—
1257	#117	—	13	1	no	—
1258	#117	—	13	1	no	—
1259	#117	—	13	1	no	—
1260	#117	—	13	1	no	—
1261	#117	—	13	1	no	—
1262	#117	—	13	1	no	—
1263	#117	—	13	1	no	—
1264	#117	—	13	1	no	—
1265	#117	—	26	1	no	—
1266	#117	—	26	1	no	—
1267	#117	—	26	1	no	—
1268	#117	—	26	1	no	—
1269	#117	C₂²×D₁₃	1	1	yes	characteristic
1270	#117	C₂²×D₁₃	1	1	yes	characteristic
1271	C₂×C₄⋊C₄	—	13	1	no	—
1272	C₂×C₄⋊C₄	—	13	1	no	—
1273	C₂×C₄⋊C₄	—	13	1	no	—
1274	C₂×C₄⋊C₄	—	13	1	no	—
1275	C₂×C₂²⋊C₄	—	2	1	no	—
1276	C₂×C₂²⋊C₄	—	2	1	no	—
1277	C₂×C₂²⋊C₄	—	13	1	no	—
1278	C₂×C₂²⋊C₄	—	13	1	no	—
1279	C₂×C₂²⋊C₄	—	26	1	no	—
1280	C₂×C₂²⋊C₄	—	26	1	no	—
1281	C₂×C₂²⋊C₄	—	26	1	no	—
1282	C₂×C₂²⋊C₄	—	26	1	no	—
1283	C₂×C₂²⋊C₄	—	26	1	no	—
1284	C₂×C₂²⋊C₄	—	26	1	no	—
1285	C₂×C₂²⋊C₄	—	26	1	no	—
1286	C₂×C₂²⋊C₄	—	26	1	no	—
1287	C₂×C₂²⋊C₄	—	26	1	no	—
1288	C₂×C₂²⋊C₄	—	26	1	no	—
1289	C₂×C₂²⋊C₄	—	26	1	no	—
1290	C₂×C₂²⋊C₄	—	26	1	no	—
1291	C₂×C₂²⋊C₄	—	26	1	no	—
1292	C₂×C₂²⋊C₄	—	26	1	no	—
1293	C₂×C₂²⋊C₄	—	26	1	no	—
1294	C₂×C₂²⋊C₄	—	26	1	no	—
1295	C₂×C₂²⋊C₄	—	26	1	no	—
1296	C₂×C₂²⋊C₄	—	26	1	no	—
1297	C₂×C₂²⋊C₄	—	26	1	no	—
1298	C₂×C₄²	—	13	1	no	—
1299	C₂×C₄²	—	13	1	no	—
1300	C₂×C₄²	—	26	1	no	—
1301	C₂×C₄²	—	26	1	no	—
1302	C₂×C₄²	—	26	1	no	—
1303	#107	—	13	1	no	—
1304	#107	—	13	1	no	—
1305	#107	—	13	1	no	—
1306	#107	—	13	1	no	—
1307	#107	—	13	1	no	—
1308	#107	—	13	1	no	—
1309	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1310	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1311	#106	—	13	1	no	—
1312	#106	—	13	1	no	—
1313	#106	—	13	1	no	—
1314	#106	—	13	1	no	—
1315	#106	—	13	1	no	—
1316	#106	—	13	1	no	—
1317	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1318	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1319	C₄⋊C₈	—	13	1	no	—
1320	C₄⋊C₈	—	13	1	no	—
1321	C₄⋊C₈	—	13	1	no	—
1322	C₄⋊C₈	—	13	1	no	—
1323	C₄⋊C₈	—	13	1	no	—
1324	C₄⋊C₈	—	13	1	no	—
1325	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1326	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	—	13	1	no	—
1331	#103	—	13	1	no	—
1332	#103	—	13	1	no	—
1333	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1334	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1335	#102	—	13	1	no	—
1336	#102	—	13	1	no	—
1337	#102	—	13	1	no	—
1338	#102	—	13	1	no	—
1339	#102	—	13	1	no	—
1340	#102	—	13	1	no	—
1341	#102	—	13	1	no	—
1342	#102	—	13	1	no	—
1343	#102	—	13	1	no	—
1344	#102	—	13	1	no	—
1345	#102	—	13	1	no	—
1346	#102	—	13	1	no	—
1347	#102	—	13	1	no	—
1348	#102	—	13	1	no	—
1349	#102	—	13	1	no	—
1350	#102	—	13	1	no	—
1351	#102	—	13	1	no	—
1352	#102	—	13	1	no	—
1353	#102	C₂²×D₁₃	1	1	yes	characteristic
1354	#102	C₂²×D₁₃	1	1	yes	characteristic
1355	#102	C₂²×D₁₃	1	1	yes	characteristic
1356	#102	C₂²×D₁₃	1	1	yes	characteristic
1357	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1358	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1359	C₂²⋊C₈	—	13	1	no	—
1360	C₂²⋊C₈	—	13	1	no	—
1361	C₂²⋊C₈	—	13	1	no	—
1362	C₂²⋊C₈	—	13	1	no	—
1363	C₂²⋊C₈	—	13	1	no	—
1364	C₂²⋊C₈	—	13	1	no	—
1365	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1367	#97	—	13	1	no	—
1368	#97	—	13	1	no	—
1369	#97	—	13	1	no	—
1370	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1371	C₄×C₈	—	13	1	no	—
1372	C₄×C₈	—	13	1	no	—
1373	C₄×C₈	—	13	1	no	—
1374	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1375	C₂×C₁₃	—	4	1	no	—
1376	C₂×C₁₃	—	4	2	no	—
1377	C₂×C₁₃	—	4	2	no	—
1378	C₂×C₁₃	—	8	1	no	—
1379	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1380	C₂×C₁₃	#3585	1	1	yes	characteristic
1381	C₂×C₁₃	#3585	1	1	yes	characteristic
1382	D₁₃	—	2	2	no	—
1383	D₁₃	—	4	1	no	—
1384	D₁₃	—	4	2	no	—
1385	D₁₃	—	4	2	no	—
1386	D₁₃	—	8	1	no	—
1387	C₂⁴	—	2	1	no	—
1388	C₂⁴	—	13	1	no	—
1389	C₂⁴	—	26	1	no	—
1390	C₂⁴	—	26	1	no	—
1391	C₂⁴	—	26	1	no	—
1392	C₂⁴	—	26	1	no	—
1393	C₂⁴	—	26	8	no	—
1394	C₂⁴	—	26	1	no	—
1395	C₂⁴	—	104	2	no	—
1396	C₂⁴	—	104	2	no	—
1397	#41	—	26	2	no	—
1398	#41	—	26	2	no	—
1399	#41	—	26	2	no	—
1400	#41	—	26	2	no	—
1401	C₂×Q₈	—	2	1	no	—
1402	C₂×Q₈	—	13	1	no	—
1403	C₂×Q₈	—	26	1	no	—
1404	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1405	C₂×D₄	—	2	2	no	—
1406	C₂×D₄	—	2	2	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	13	4	no	—
1410	C₂×D₄	—	13	4	no	—
1411	C₂×D₄	—	13	1	no	—
1412	C₂×D₄	—	13	1	no	—
1413	C₂×D₄	—	13	1	no	—
1414	C₂×D₄	—	26	2	no	—
1415	C₂×D₄	—	26	2	no	—
1416	C₂×D₄	—	26	1	no	—
1417	C₂×D₄	—	26	1	no	—
1418	C₂×D₄	—	26	2	no	—
1419	C₂×D₄	—	26	2	no	—
1420	C₂×D₄	—	26	1	no	—
1421	C₂×D₄	—	26	1	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	1	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	—	26	1	no	—
1426	C₂×D₄	—	26	2	no	—
1427	C₂×D₄	—	26	2	no	—
1428	C₂×D₄	—	26	8	no	—
1429	C₂×D₄	—	26	8	no	—
1430	C₂×D₄	—	26	8	no	—
1431	C₂×D₄	—	26	2	no	—
1432	C₂×D₄	—	26	2	no	—
1433	C₂×D₄	—	26	1	no	—
1434	C₂×D₄	—	26	1	no	—
1435	C₂×D₄	—	26	1	no	—
1436	C₂×D₄	—	26	1	no	—
1437	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1438	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1439	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	13	1	no	—
1446	C₂²×C₄	—	13	1	no	—
1447	C₂²×C₄	—	13	1	no	—
1448	C₂²×C₄	—	13	1	no	—
1449	C₂²×C₄	—	13	1	no	—
1450	C₂²×C₄	—	13	1	no	—
1451	C₂²×C₄	—	13	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	1	no	—
1454	C₂²×C₄	—	26	2	no	—
1455	C₂²×C₄	—	26	2	no	—
1456	C₂²×C₄	—	26	1	no	—
1457	C₂²×C₄	—	26	1	no	—
1458	C₂²×C₄	—	26	1	no	—
1459	C₂²×C₄	—	26	1	no	—
1460	C₂²×C₄	—	26	1	no	—
1461	C₂²×C₄	—	26	1	no	—
1462	C₂²×C₄	—	26	1	no	—
1463	C₂²×C₄	—	26	1	no	—
1464	C₂²×C₄	—	26	1	no	—
1465	C₂²×C₄	—	26	1	no	—
1466	C₂²×C₄	—	26	1	no	—
1467	C₂²×C₄	—	26	1	no	—
1468	C₂²×C₄	—	26	1	no	—
1469	C₂²×C₄	—	26	1	no	—
1470	C₂²×C₄	—	26	1	no	—
1471	C₂²×C₄	—	26	1	no	—
1472	C₂²×C₄	—	26	1	no	—
1473	C₂²×C₄	—	26	1	no	—
1474	C₂²×C₄	—	26	1	no	—
1475	C₂²×C₄	—	104	2	no	—
1476	C₂²×C₄	—	104	2	no	—
1477	C₂²×C₄	—	104	2	no	—
1478	C₂²×C₄	—	104	2	no	—
1479	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1480	SD₁₆	—	2	2	no	—
1481	SD₁₆	—	2	2	no	—
1482	SD₁₆	—	26	2	no	—
1483	SD₁₆	—	26	2	no	—
1484	SD₁₆	—	26	2	no	—
1485	SD₁₆	—	26	2	no	—
1486	SD₁₆	—	26	2	no	—
1487	SD₁₆	—	26	2	no	—
1488	D₈	—	2	2	no	—
1489	D₈	—	2	2	no	—
1490	D₈	—	26	2	no	—
1491	D₈	—	26	2	no	—
1492	D₈	—	26	2	no	—
1493	D₈	—	26	2	no	—
1494	D₈	—	26	2	no	—
1495	D₈	—	26	2	no	—
1496	M₁₆	—	26	2	no	—
1497	M₁₆	—	26	2	no	—
1498	M₁₆	—	26	2	no	—
1499	M₁₆	—	26	2	no	—
1500	C₂×C₈	—	13	1	no	—
1501	C₂×C₈	—	13	1	no	—
1502	C₂×C₈	—	13	1	no	—
1503	C₂×C₈	—	13	1	no	—
1504	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1505	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1506	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1507	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	13	1	no	—
1512	C₄⋊C₄	—	13	1	no	—
1513	C₄⋊C₄	—	13	1	no	—
1514	C₄⋊C₄	—	13	1	no	—
1515	C₄⋊C₄	—	13	1	no	—
1516	C₄⋊C₄	—	13	1	no	—
1517	C₄⋊C₄	—	13	1	no	—
1518	C₄⋊C₄	—	13	1	no	—
1519	C₄⋊C₄	—	13	1	no	—
1520	C₄⋊C₄	—	13	1	no	—
1521	C₄⋊C₄	—	26	1	no	—
1522	C₄⋊C₄	—	26	1	no	—
1523	C₄⋊C₄	—	26	1	no	—
1524	C₄⋊C₄	—	26	1	no	—
1525	C₄⋊C₄	—	26	1	no	—
1526	C₄⋊C₄	—	26	1	no	—
1527	C₄⋊C₄	—	26	1	no	—
1528	C₄⋊C₄	—	26	1	no	—
1529	C₄⋊C₄	—	26	1	no	—
1530	C₄⋊C₄	—	26	1	no	—
1531	C₄⋊C₄	—	26	1	no	—
1532	C₄⋊C₄	—	26	1	no	—
1533	C₄⋊C₄	—	26	1	no	—
1534	C₄⋊C₄	—	26	1	no	—
1535	C₄⋊C₄	—	26	1	no	—
1536	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1537	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1538	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1539	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1540	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1541	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1542	C₂²⋊C₄	—	2	1	no	—
1543	C₂²⋊C₄	—	2	1	no	—
1544	C₂²⋊C₄	—	2	1	no	—
1545	C₂²⋊C₄	—	2	1	no	—
1546	C₂²⋊C₄	—	2	1	no	—
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	13	1	no	—
1553	C₂²⋊C₄	—	13	1	no	—
1554	C₂²⋊C₄	—	13	1	no	—
1555	C₂²⋊C₄	—	13	1	no	—
1556	C₂²⋊C₄	—	13	1	no	—
1557	C₂²⋊C₄	—	13	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	C₂²⋊C₄	—	26	1	no	—
1562	C₂²⋊C₄	—	26	1	no	—
1563	C₂²⋊C₄	—	26	1	no	—
1564	C₂²⋊C₄	—	26	1	no	—
1565	C₂²⋊C₄	—	26	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	—	26	1	no	—
1581	C₂²⋊C₄	—	26	1	no	—
1582	C₂²⋊C₄	—	26	1	no	—
1583	C₂²⋊C₄	—	26	1	no	—
1584	C₂²⋊C₄	—	26	1	no	—
1585	C₂²⋊C₄	—	26	1	no	—
1586	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1587	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	13	1	no	—
1591	C₄²	—	13	1	no	—
1592	C₄²	—	13	1	no	—
1593	C₄²	—	13	1	no	—
1594	C₄²	—	13	1	no	—
1595	C₄²	—	13	1	no	—
1596	C₄²	—	26	1	no	—
1597	C₄²	—	26	1	no	—
1598	C₄²	—	26	1	no	—
1599	C₄²	—	26	1	no	—
1600	C₄²	—	26	1	no	—
1601	C₄²	—	26	1	no	—
1602	C₄²	—	26	1	no	—
1603	C₄²	—	26	1	no	—
1604	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1605	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1606	C₁₃	#60564	1	1	yes	characteristic, complemented, Sylow
1607	C₂³	—	2	4	no	—
1608	C₂³	—	2	1	no	—
1609	C₂³	—	2	1	no	—
1610	C₂³	—	2	1	no	—
1611	C₂³	—	8	1	no	—
1612	C₂³	—	8	1	no	—
1613	C₂³	—	13	1	no	—
1614	C₂³	—	13	1	no	—
1615	C₂³	—	26	2	no	—
1616	C₂³	—	26	4	no	—
1617	C₂³	—	26	4	no	—
1618	C₂³	—	26	4	no	—
1619	C₂³	—	26	4	no	—
1620	C₂³	—	26	4	no	—
1621	C₂³	—	26	1	no	—
1622	C₂³	—	26	1	no	—
1623	C₂³	—	26	1	no	—
1624	C₂³	—	52	1	no	—
1625	C₂³	—	52	1	no	—
1626	C₂³	—	52	2	no	—
1627	C₂³	—	52	2	no	—
1628	C₂³	—	52	2	no	—
1629	C₂³	—	52	2	no	—
1630	C₂³	—	104	1	no	—
1631	C₂³	—	104	1	no	—
1632	C₂³	—	104	1	no	—
1633	C₂³	—	104	1	no	—
1634	C₂³	—	104	1	no	—
1635	C₂³	—	104	1	no	—
1636	C₂³	—	104	16	no	—
1637	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1638	Q₈	—	2	1	no	—
1639	Q₈	—	2	1	no	—
1640	Q₈	—	8	1	no	—
1641	Q₈	—	26	1	no	—
1642	Q₈	—	26	1	no	—
1643	Q₈	—	104	1	no	—
1644	D₄	—	2	4	no	—
1645	D₄	—	2	1	no	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	2	1	no	—
1649	D₄	—	8	1	no	—
1650	D₄	—	13	2	no	—
1651	D₄	—	13	2	no	—
1652	D₄	—	26	4	no	—
1653	D₄	—	26	4	no	—
1654	D₄	—	26	4	no	—
1655	D₄	—	26	4	no	—
1656	D₄	—	26	4	no	—
1657	D₄	—	26	1	no	—
1658	D₄	—	26	1	no	—
1659	D₄	—	26	1	no	—
1660	D₄	—	26	1	no	—
1661	D₄	—	52	2	no	—
1662	D₄	—	52	2	no	—
1663	D₄	—	104	1	no	—
1664	D₄	—	104	1	no	—
1665	D₄	—	104	1	no	—
1666	D₄	—	104	1	no	—
1667	D₄	—	104	1	no	—
1668	D₄	#41×D₁₃	1	2	yes	—
1669	D₄	#41×D₁₃	1	2	yes	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	2	1	no	—
1677	C₂×C₄	—	8	1	no	—
1678	C₂×C₄	—	8	1	no	—
1679	C₂×C₄	—	8	1	no	—
1680	C₂×C₄	—	8	1	no	—
1681	C₂×C₄	—	8	1	no	—
1682	C₂×C₄	—	13	1	no	—
1683	C₂×C₄	—	13	2	no	—
1684	C₂×C₄	—	13	2	no	—
1685	C₂×C₄	—	13	1	no	—
1686	C₂×C₄	—	13	1	no	—
1687	C₂×C₄	—	13	1	no	—
1688	C₂×C₄	—	13	1	no	—
1689	C₂×C₄	—	13	1	no	—
1690	C₂×C₄	—	26	2	no	—
1691	C₂×C₄	—	26	2	no	—
1692	C₂×C₄	—	26	2	no	—
1693	C₂×C₄	—	26	1	no	—
1694	C₂×C₄	—	26	1	no	—
1695	C₂×C₄	—	26	1	no	—
1696	C₂×C₄	—	26	1	no	—
1697	C₂×C₄	—	26	1	no	—
1698	C₂×C₄	—	26	1	no	—
1699	C₂×C₄	—	26	1	no	—
1700	C₂×C₄	—	52	1	no	—
1701	C₂×C₄	—	52	1	no	—
1702	C₂×C₄	—	52	1	no	—
1703	C₂×C₄	—	52	1	no	—
1704	C₂×C₄	—	52	2	no	—
1705	C₂×C₄	—	52	2	no	—
1706	C₂×C₄	—	52	2	no	—
1707	C₂×C₄	—	52	2	no	—
1708	C₂×C₄	—	104	1	no	—
1709	C₂×C₄	—	104	1	no	—
1710	C₂×C₄	—	104	1	no	—
1711	C₂×C₄	—	104	1	no	—
1712	C₂×C₄	—	104	1	no	—
1713	C₂×C₄	—	104	1	no	—
1714	C₂×C₄	—	104	1	no	—
1715	C₂×C₄	—	104	1	no	—
1716	C₂×C₄	—	104	1	no	—
1717	C₂×C₄	—	104	1	no	—
1718	C₂×C₄	—	104	1	no	—
1719	C₂×C₄	—	104	1	no	—
1720	C₂×C₄	—	104	1	no	—
1721	C₂×C₄	—	104	1	no	—
1722	C₂×C₄	—	104	1	no	—
1723	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1724	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1727	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1728	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	2	1	no	—
1733	C₈	—	26	1	no	—
1734	C₈	—	26	1	no	—
1735	C₈	—	26	1	no	—
1736	C₈	—	26	1	no	—
1737	C₂²	—	2	1	no	—
1738	C₂²	—	2	2	no	—
1739	C₂²	—	2	2	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	8	4	no	—
1750	C₂²	—	13	2	no	—
1751	C₂²	—	26	1	no	—
1752	C₂²	—	26	1	no	—
1753	C₂²	—	26	1	no	—
1754	C₂²	—	26	2	no	—
1755	C₂²	—	26	2	no	—
1756	C₂²	—	26	1	no	—
1757	C₂²	—	26	1	no	—
1758	C₂²	—	52	8	no	—
1759	C₂²	—	52	8	no	—
1760	C₂²	—	52	4	no	—
1761	C₂²	—	52	1	no	—
1762	C₂²	—	52	1	no	—
1763	C₂²	—	52	1	no	—
1764	C₂²	—	52	1	no	—
1765	C₂²	—	52	1	no	—
1766	C₂²	—	52	1	no	—
1767	C₂²	—	52	1	no	—
1768	C₂²	—	104	4	no	—
1769	C₂²	—	104	4	no	—
1770	C₂²	—	104	4	no	—
1771	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	4	1	no	—
1781	C₄	—	4	1	no	—
1782	C₄	—	13	2	no	—
1783	C₄	—	26	1	no	—
1784	C₄	—	26	1	no	—
1785	C₄	—	26	1	no	—
1786	C₄	—	26	1	no	—
1787	C₄	—	26	1	no	—
1788	C₄	—	52	1	no	—
1789	C₄	—	52	1	no	—
1790	C₄	—	52	1	no	—
1791	C₄	—	52	1	no	—
1792	C₄	—	52	1	no	—
1793	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1794	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1795	C₂	—	4	1	no	—
1796	C₂	—	4	2	no	—
1797	C₂	—	4	2	no	—
1798	C₂	—	8	1	no	—
1799	C₂	—	26	2	no	—
1800	C₂	—	52	1	no	—
1801	C₂	—	52	2	no	—
1802	C₂	—	52	2	no	—
1803	C₂	—	104	1	no	—
1804	C₂	D₁₃×#525	1	1	yes	characteristic
1805	C₂	#13129611	1	1	yes	characteristic
1806	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×#3118	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3118	D₁₃
hypocenter	C₁₃	#60564
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3118

Complements

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

N	H ≅ G/N	type
1. #13128223	C₂	semidirect
2. D₁₃×#518	C₂	semidirect
3. #13125087	C₂	semidirect
4. #13125085	C₂	semidirect
5. #13125084	C₂	semidirect
6. #13125082	C₂	semidirect
7. #13125078	C₂	semidirect
8. #13125076	C₂	semidirect
9. #13125075	C₂	semidirect
10. #13125073	C₂	semidirect
11. #13125027	C₂	semidirect
12. #13125025	C₂	semidirect
13. #13125022	C₂	semidirect
14. #13125020	C₂	semidirect
15. #13125019	C₂	semidirect
16. #13125017	C₂	semidirect
17. #13125014	C₂	semidirect
18. #13124768	C₂	semidirect
19. #13124764	C₂	semidirect
20. #13124634	C₂	semidirect
21. #13124628	C₂	semidirect
22. #13124298	C₂	semidirect
23. #13124298	C₂	semidirect
24. #13124064	C₂	semidirect
25. #13124060	C₂	semidirect
26. #13123647	C₂	semidirect
27. C₄×#88168	C₂	semidirect
28. #13123641	C₂	semidirect
29. C₄×#88165	C₂	semidirect
30. #13123470	C₂	semidirect
31. C₁₃×#3118	C₂	semidirect
33. C₁₃×#542	C₂²	semidirect
40. #11719438	C₂²	semidirect
41. #11719433	C₂²	semidirect
44. #11719387	C₂²	semidirect
47. #11719373	C₂²	semidirect
52. #11719330	C₂²	semidirect
54. #11719324	C₂²	semidirect
56. #11719288	C₂²	semidirect
57. C₄×#6131	C₂²	semidirect
58. #11719267	C₂²	semidirect
71. C₄×#6129	C₂²	semidirect
72. #11719239	C₂²	semidirect
81. C₁₃×#485	C₂²	semidirect
82. C₁₃×#482	C₂²	semidirect
83. C₁₃×#476	C₂²	semidirect
84. C₁₃×#474	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
89. C₁₃×#442	C₂²	semidirect
90. C₁₃×#440	C₂²	semidirect
91. C₄×C₁₃×SD₁₆	C₂²	semidirect
92. C₄×C₁₃×D₈	C₂²	semidirect
93. C₁₃×#433	C₂²	semidirect
98. #11718825	C₂²	semidirect
99. #11718823	C₂²	semidirect
100. #11718823	C₂²	semidirect
101. SD₁₆×Dic₁₃	C₂²	semidirect
104. #11718813	C₂²	semidirect
105. #11718811	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718748	C₂²	semidirect
109. #11718745	C₂²	semidirect
110. #11718718	C₂²	semidirect
111. #11718718	C₂²	semidirect
113. #11718706	C₂²	semidirect
115. #11718696	C₂²	semidirect
116. #11718687	C₂²	semidirect
117. C₄×#6106	C₂²	semidirect
118. #11718679	C₂²	semidirect
119. C₄×#6105	C₂²	semidirect
120. #11718677	C₂²	semidirect
121. #11718677	C₂²	semidirect
122. #11718675	C₂²	semidirect
123. #11718675	C₂²	semidirect
124. C₄×#6104	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. #11718669	C₂²	semidirect
127. #11718668	C₂²	semidirect
128. #11718664	C₂²	semidirect
129. #11718661	C₂²	semidirect
130. #11718657	C₂²	semidirect
131. #11718552	C₂²	semidirect
132. #11718552	C₂²	semidirect
133. #11718550	C₂²	semidirect
134. #11718549	C₂²	semidirect
135. #11718546	C₂²	semidirect
136. #11718542	C₂²	semidirect
137. #11718542	C₂²	semidirect
138. #11718533	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718532	C₂²	semidirect
141. #11718530	C₂²	semidirect
142. #11718528	C₂²	semidirect
143. #11718527	C₂²	semidirect
144. #11718522	C₂²	semidirect
145. #11718522	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718507	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718505	C₂²	semidirect
150. #11718503	C₂²	semidirect
151. #11718501	C₂²	semidirect
152. #11718501	C₂²	semidirect
153. #11718498	C₂²	semidirect
154. #11718498	C₂²	semidirect
155. #11718479	C₂²	semidirect
156. #11718479	C₂²	semidirect
157. #11718478	C₂²	semidirect
158. #11718476	C₂²	semidirect
159. #11718475	C₂²	semidirect
160. #11718464	C₂²	semidirect
161. #11718464	C₂²	semidirect
162. #11718449	C₂²	semidirect
163. #11718447	C₂²	semidirect
164. #11718447	C₂²	semidirect
165. #11718446	C₂²	semidirect
166. #11718446	C₂²	semidirect
167. #11718445	C₂²	semidirect
168. #11718440	C₂²	semidirect
173. #11718432	C₂²	semidirect
174. #11718432	C₂²	semidirect
179. #11718427	C₂²	semidirect
180. #11718427	C₂²	semidirect
181. #11718424	C₂²	semidirect
182. #11718424	C₂²	semidirect
183. #11718419	C₂²	semidirect
184. #11718418	C₂²	semidirect
185. #11718417	C₂²	semidirect
186. #11718417	C₂²	semidirect
187. #11718398	C₂²	semidirect
192. #11718384	C₂²	semidirect
193. #11718381	C₂²	semidirect
194. #11718381	C₂²	semidirect
195. #11718372	C₂²	semidirect
196. #11718371	C₂²	semidirect
197. #11718370	C₂²	semidirect
198. #11718368	C₂²	semidirect
199. C₄×D₁₀₄	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. C₄×#6094	C₂²	semidirect
226. C₁₃×C₄⋊Q₈	C₂³	semidirect
229. C₁₃×#124	C₂³	semidirect
234. C₄×Q₈×C₁₃	C₂³	semidirect
241. C₄×D₄×C₁₃	C₂³	semidirect
253. Q₈×Dic₁₃	C₂³	semidirect
254. #88198	C₂³	semidirect
257. #88194	C₂³	semidirect
269. D₄×Dic₁₃	C₂³	semidirect
325. #88147	C₂³	semidirect
338. #88144	C₂³	semidirect
339. #88144	C₂³	semidirect
343. #88141	C₂³	semidirect
393. #88129	C₂³	semidirect
401. C₄×D₅₂	C₂³	semidirect
410. #88123	C₂³	semidirect
411. C₄×Dic₂₆	C₂³	semidirect
412. C₁₃×#107	C₂³	semidirect
413. C₁₃×#107	C₂³	semidirect
414. C₁₃×#106	C₂³	semidirect
415. C₁₃×#106	C₂³	semidirect
416. C₁₃×C₄⋊C₈	C₂³	semidirect
417. C₁₃×C₄⋊C₈	C₂³	semidirect
418. C₁₃×#103	C₂³	semidirect
419. C₁₃×#103	C₂³	semidirect
424. C₁₃×#102	C₂³	semidirect
425. C₁₃×#102	C₂³	semidirect
428. C₁₃×#97	C₂³	semidirect
429. C₄×C₈×C₁₃	C₂³	semidirect
430. #88075	C₂³	semidirect
431. #88075	C₂³	semidirect
436. #88072	C₂³	semidirect
437. #88072	C₂³	semidirect
444. #88061	C₂³	semidirect
445. #88061	C₂³	semidirect
450. #88058	C₂³	semidirect
451. #88058	C₂³	semidirect
452. #88057	C₂³	semidirect
453. #88057	C₂³	semidirect
454. #88056	C₂³	semidirect
455. #88056	C₂³	semidirect
456. #88055	C₂³	semidirect
457. #88055	C₂³	semidirect
458. #88054	C₂³	semidirect
459. #88054	C₂³	semidirect
460. #88054	C₂³	semidirect
461. #88054	C₂³	semidirect
462. C₈×Dic₁₃	C₂³	semidirect
463. C₈×Dic₁₃	C₂³	semidirect
464. #88050	C₂³	semidirect
465. #88050	C₂³	semidirect
470. #88049	C₂³	semidirect
471. #88049	C₂³	semidirect
472. #88048	C₂³	semidirect
473. #88048	C₂³	semidirect
474. #88048	C₂³	semidirect
475. #88048	C₂³	semidirect
476. #88047	C₂³	semidirect
477. #88047	C₂³	semidirect
478. #88047	C₂³	semidirect
479. #88047	C₂³	semidirect
480. C₄⋊#1055	C₂³	semidirect
481. C₄⋊#1055	C₂³	semidirect
482. #88043	C₂³	semidirect
483. C₄×#1055	C₂³	semidirect
721. #3118	D₁₃	semidirect
873. #542	C₂×D₁₃	semidirect
921. #485	C₂×D₁₃	semidirect
929. #482	C₂×D₁₃	semidirect
941. #476	C₂×D₁₃	semidirect
945. #474	C₂×D₁₃	semidirect
952. #463	C₂×D₁₃	semidirect
953. #463	C₂×D₁₃	semidirect
985. #442	C₂×D₁₃	semidirect
993. #440	C₂×D₁₃	semidirect
1001. C₄×SD₁₆	C₂×D₁₃	semidirect
1009. C₄×D₈	C₂×D₁₃	semidirect
1017. #433	C₂×D₁₃	semidirect
1139. C₄⋊Q₈	C₂²×D₁₃	semidirect
1160. #124	C₂²×D₁₃	semidirect
1198. C₄×Q₈	C₂²×D₁₃	semidirect
1252. C₄×D₄	C₂²×D₁₃	semidirect
1309. #107	C₂²×D₁₃	semidirect
1310. #107	C₂²×D₁₃	semidirect
1317. #106	C₂²×D₁₃	semidirect
1318. #106	C₂²×D₁₃	semidirect
1325. C₄⋊C₈	C₂²×D₁₃	semidirect
1326. C₄⋊C₈	C₂²×D₁₃	semidirect
1333. #103	C₂²×D₁₃	semidirect
1334. #103	C₂²×D₁₃	semidirect
1357. #102	C₂²×D₁₃	semidirect
1358. #102	C₂²×D₁₃	semidirect
1370. #97	C₂²×D₁₃	semidirect
1374. C₄×C₈	C₂²×D₁₃	semidirect
1606. C₁₃	#60564	semidirect

Maximal subgroups

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

subgroup	index
#13128223	2
D₁₃×#518	2
#13125087	2
#13125085	2
#13125084	2
#13125082	2
#13125078	2
#13125076	2
#13125075	2
#13125073	2
#13125027	2
#13125025	2
#13125022	2
#13125020	2
#13125019	2
#13125017	2
#13125014	2
#13124768	2
#13124764	2
#13124634	2
#13124628	2
#13124298	2
#13124064	2
#13124060	2
#13123647	2
C₄×#88168	2
#13123641	2
C₄×#88165	2
#13123470	2
C₁₃×#3118	2
#60564	13