Subgroups — #16731670

Order 3328.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128586	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125089	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125088	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	#13125015	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125014	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125013	C₂	1	1	yes	maximal, characteristic, complemented
10	#13124973	C₂	1	1	yes	maximal, characteristic, complemented
11	#13124972	C₂	1	1	yes	maximal, characteristic, complemented
12	#13124937	C₂	1	1	yes	maximal, characteristic, complemented
13	#13124933	C₂	1	1	yes	maximal, characteristic, complemented
14	#13124882	C₂	1	1	yes	maximal, characteristic, complemented
15	#13124881	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124846	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124842	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124783	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124662	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124660	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124346	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124346	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124060	C₂	1	1	yes	maximal, characteristic
25	D₁₃×#450	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123692	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123690	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123665	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123661	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123492	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×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
37	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic
38	C₂×#88165	C₂²	1	1	yes	characteristic
39	C₂×#88165	C₂²	1	1	yes	characteristic
40	#11719434	C₂²	1	1	yes	characteristic, complemented
41	#11719433	C₂²	1	1	yes	characteristic, complemented
42	#11719413	—	2	1	no	—
43	#11719413	—	2	1	no	—
44	#11719385	C₂²	1	1	yes	characteristic, complemented
45	#11719384	—	2	1	no	—
46	#11719380	C₂²	1	1	yes	characteristic, complemented
47	#11719376	—	2	1	no	—
48	#11719364	—	2	1	no	—
49	#11719355	—	2	1	no	—
50	#11719344	—	2	1	no	—
51	#11719341	—	2	1	no	—
52	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	#11719330	C₂²	1	1	yes	characteristic, complemented
54	#11719311	C₂²	1	1	yes	characteristic
55	#11719308	C₂²	1	1	yes	characteristic, complemented
56	#11719283	C₂²	1	1	yes	characteristic, complemented
57	#11719277	C₂²	1	1	yes	characteristic, complemented
58	#11719262	C₂²	1	1	yes	characteristic, complemented
59	#11719251	C₂²	1	1	yes	characteristic, complemented
60	#11719250	—	2	1	no	—
61	#11719250	—	2	1	no	—
62	#11719250	C₂²	1	1	yes	characteristic
63	#11719250	C₂²	1	1	yes	characteristic
64	#11719250	C₂²	1	1	yes	characteristic
65	#11719250	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₁₃	—	2	1	no	—
67	C₄×D₄×D₁₃	—	2	1	no	—
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×D₄×D₁₃	C₂²	1	1	yes	characteristic
72	#11719226	C₂²	1	1	yes	characteristic
73	#11719226	C₂²	1	1	yes	characteristic
74	D₁₃×#117	C₂²	1	1	yes	characteristic
75	D₁₃×#117	C₂²	1	1	yes	characteristic
76	#11719223	C₂²	1	1	yes	characteristic, complemented
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	#11718879	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	#11718814	C₂²	1	1	yes	characteristic, complemented
105	#11718814	C₂²	1	1	yes	characteristic, complemented
106	#11718813	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	#11718680	C₂²	1	1	yes	characteristic, complemented
119	#11718680	C₂²	1	1	yes	characteristic, complemented
120	#11718679	C₂²	1	1	yes	characteristic, complemented
121	#11718679	C₂²	1	1	yes	characteristic, complemented
122	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
123	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
124	#11718675	C₂²	1	1	yes	characteristic, complemented
125	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
126	#11718670	C₂²	1	1	yes	characteristic, complemented
127	#11718670	C₂²	1	1	yes	characteristic, complemented
128	#11718661	C₂²	1	1	yes	characteristic, complemented
129	#11718657	C₂²	1	1	yes	characteristic, complemented
130	#11718657	C₂²	1	1	yes	characteristic, complemented
131	#11718552	C₂²	1	1	yes	characteristic, complemented
132	#11718551	C₂²	1	1	yes	characteristic, complemented
133	#11718550	C₂²	1	1	yes	characteristic, complemented
134	#11718550	C₂²	1	1	yes	characteristic, complemented
135	#11718545	C₂²	1	1	yes	characteristic, complemented
136	#11718545	C₂²	1	1	yes	characteristic, complemented
137	#11718542	C₂²	1	1	yes	characteristic, complemented
138	#11718541	C₂²	1	1	yes	characteristic, complemented
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718523	C₂²	1	1	yes	characteristic, complemented
142	#11718523	C₂²	1	1	yes	characteristic, complemented
143	#11718522	C₂²	1	1	yes	characteristic, complemented
144	#11718521	C₂²	1	1	yes	characteristic, complemented
145	#11718513	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718508	C₂²	1	1	yes	characteristic, complemented
149	#11718502	C₂²	1	1	yes	characteristic, complemented
150	#11718502	C₂²	1	1	yes	characteristic, complemented
151	#11718500	C₂²	1	1	yes	characteristic, complemented
152	#11718500	C₂²	1	1	yes	characteristic, complemented
153	#11718496	C₂²	1	1	yes	characteristic, complemented
154	#11718494	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	#11718470	C₂²	1	1	yes	characteristic, complemented
159	#11718466	C₂²	1	1	yes	characteristic, complemented
160	#11718463	C₂²	1	1	yes	characteristic, complemented
161	#11718463	C₂²	1	1	yes	characteristic, complemented
162	#11718449	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718448	C₂²	1	1	yes	characteristic, complemented
165	#11718446	C₂²	1	1	yes	characteristic, complemented
166	#11718438	C₂²	1	1	yes	characteristic, complemented
167	#11718437	C₂²	1	1	yes	characteristic
168	#11718437	C₂²	1	1	yes	characteristic
169	#11718437	C₂²	1	1	yes	characteristic
170	#11718437	C₂²	1	1	yes	characteristic
171	#11718435	C₂²	1	1	yes	characteristic, complemented
172	#11718433	C₂²	1	1	yes	characteristic, complemented
173	#11718433	C₂²	1	1	yes	characteristic, complemented
174	#11718431	C₂²	1	1	yes	characteristic
175	#11718431	C₂²	1	1	yes	characteristic
176	D₁₃×#102	C₂²	1	1	yes	characteristic
177	D₁₃×#102	C₂²	1	1	yes	characteristic
178	#11718427	C₂²	1	1	yes	characteristic, complemented
179	#11718424	C₂²	1	1	yes	characteristic, complemented
180	#11718422	C₂²	1	1	yes	characteristic, complemented
181	#11718420	C₂²	1	1	yes	characteristic, complemented
182	#11718419	C₂²	1	1	yes	characteristic, complemented
183	#11718419	C₂²	1	1	yes	characteristic, complemented
184	#11718418	C₂²	1	1	yes	characteristic, complemented
185	#11718418	C₂²	1	1	yes	characteristic, complemented
186	#11718417	C₂²	1	1	yes	characteristic, complemented
187	#11718392	C₂²	1	1	yes	characteristic
188	#11718392	C₂²	1	1	yes	characteristic
189	#11718387	C₂²	1	1	yes	characteristic
190	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
191	#11718384	C₂²	1	1	yes	characteristic, complemented
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	#11718371	C₂²	1	1	yes	characteristic, complemented
196	#11718371	C₂²	1	1	yes	characteristic, complemented
197	#11718369	C₂²	1	1	yes	characteristic, complemented
198	#11718366	C₂²	1	1	yes	characteristic, complemented
199	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
200	C₄×#6095	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic, complemented
202	#11718346	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×Q₈×D₁₃	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	#88200	—	2	1	no	—
249	#88200	—	2	1	no	—
250	#88200	C₂³	1	1	yes	characteristic
251	Q₈×Dic₁₃	—	2	1	no	—
252	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
253	#88198	—	2	1	no	—
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	#88192	C₂³	1	1	yes	characteristic
258	#88191	—	2	1	no	—
259	#88190	—	2	1	no	—
260	#88190	C₂³	1	1	yes	characteristic, complemented
261	#88189	—	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×#6105	C₂³	1	1	yes	characteristic
273	C₂×#6105	C₂³	1	1	yes	characteristic
274	C₂×#6104	C₂³	1	1	yes	characteristic
275	C₂×#6104	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₁₃	—	2	1	no	—
277	C₄×C₂²⋊D₁₃	—	2	1	no	—
278	C₄×C₂²⋊D₁₃	—	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	C₂×#6103	—	2	1	no	—
287	C₂×#6103	—	2	1	no	—
288	C₂×#6103	—	2	1	no	—
289	C₂×#6103	—	2	1	no	—
290	#88180	—	2	1	no	—
291	#88180	C₂³	1	1	yes	characteristic
292	#88180	C₂³	1	1	yes	characteristic
293	#88178	C₂³	1	1	yes	characteristic
294	#88178	C₂³	1	1	yes	characteristic
295	C₂×#6101	—	2	1	no	—
296	SD₁₆×D₁₃	—	2	4	no	—
297	SD₁₆×D₁₃	—	2	4	no	—
298	#88165	—	2	4	no	—
299	#88165	—	2	4	no	—
300	C₂×#6095	C₂³	1	1	yes	characteristic
301	C₂×#6095	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×C₈×D₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
308	#88151	C₂³	1	1	yes	characteristic
309	#88151	C₂³	1	1	yes	characteristic
310	#88150	—	2	1	no	—
311	#88150	—	2	1	no	—
312	#88150	—	2	1	no	—
313	#88147	—	2	1	no	—
314	#88147	—	2	1	no	—
315	#88147	C₂³	1	1	yes	characteristic
316	#88147	C₂³	1	1	yes	characteristic
317	#88147	C₂³	1	1	yes	characteristic
318	#88147	C₂³	1	1	yes	characteristic
319	#88146	—	2	1	no	—
320	#88146	—	2	1	no	—
321	#88146	D₄	1	1	yes	characteristic
322	#88146	D₄	1	1	yes	characteristic
323	#88146	C₂³	1	1	yes	characteristic
324	#88146	C₂³	1	1	yes	characteristic
325	#88146	C₂³	1	1	yes	characteristic
326	C₄⋊C₄×D₁₃	—	2	1	no	—
327	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
328	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
329	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
330	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
332	#88144	—	2	1	no	—
333	#88144	—	2	1	no	—
334	#88144	C₂³	1	1	yes	characteristic, complemented
335	#88143	—	2	1	no	—
336	#88143	—	2	1	no	—
337	#88143	—	2	1	no	—
338	#88143	—	2	1	no	—
339	#88143	—	2	1	no	—
340	#88142	C₂³	1	1	yes	characteristic, complemented
341	#88141	—	2	1	no	—
342	#88141	C₂³	1	1	yes	characteristic, complemented
343	#88141	C₂³	1	1	yes	characteristic, complemented
344	#88137	—	2	1	no	—
345	#88137	—	2	1	no	—
346	#88137	—	2	1	no	—
347	#88137	—	2	1	no	—
348	#88137	—	2	1	no	—
349	#88135	—	2	1	no	—
350	#88135	—	2	1	no	—
351	#88135	—	2	1	no	—
352	#88135	—	2	1	no	—
353	#88135	—	2	1	no	—
354	#88135	—	2	1	no	—
355	#88135	—	2	1	no	—
356	#88135	—	2	1	no	—
357	#88135	—	2	1	no	—
358	#88135	—	2	1	no	—
359	#88135	—	2	1	no	—
360	C₂²⋊C₄×D₁₃	—	2	1	no	—
361	C₂²⋊C₄×D₁₃	—	2	1	no	—
362	C₂²⋊C₄×D₁₃	—	2	1	no	—
363	C₂²⋊C₄×D₁₃	—	2	1	no	—
364	C₂²⋊C₄×D₁₃	—	2	1	no	—
365	C₂²⋊C₄×D₁₃	—	2	1	no	—
366	C₂²⋊C₄×D₁₃	—	2	1	no	—
367	C₂²⋊C₄×D₁₃	—	2	1	no	—
368	C₂²⋊C₄×D₁₃	—	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	D₄	1	1	yes	characteristic
375	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
376	#88133	—	2	1	no	—
377	#88133	—	2	1	no	—
378	#88133	—	2	1	no	—
379	#88133	—	2	1	no	—
380	#88133	—	2	1	no	—
381	#88133	—	2	1	no	—
382	#88133	—	2	1	no	—
383	#88132	—	2	1	no	—
384	#88132	—	2	1	no	—
385	#88132	—	2	1	no	—
386	#88132	—	2	1	no	—
387	#88131	—	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	C₄×D₅₂	—	2	1	no	—
393	C₄×D₅₂	—	2	1	no	—
394	C₄×D₅₂	C₂³	1	1	yes	characteristic
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	C₄×D₅₂	C₂³	1	1	yes	characteristic
397	C₄×D₅₂	C₂³	1	1	yes	characteristic
398	#88126	—	2	1	no	—
399	#88126	—	2	1	no	—
400	#88126	—	2	1	no	—
401	#88126	C₂³	1	1	yes	characteristic
402	#88126	C₂³	1	1	yes	characteristic
403	C₄²×D₁₃	—	2	1	no	—
404	C₄²×D₁₃	C₂³	1	1	yes	characteristic
405	C₄²×D₁₃	C₂³	1	1	yes	characteristic
406	#88124	C₂³	1	1	yes	characteristic, complemented
407	#88123	C₂³	1	1	yes	characteristic, complemented
408	C₄×Dic₂₆	—	2	1	no	—
409	C₄×Dic₂₆	—	2	1	no	—
410	C₄×Dic₂₆	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	#88060	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88060	C₂³	1	1	yes	characteristic
447	#88060	C₂³	1	1	yes	characteristic
448	#88058	C₂³	1	1	yes	characteristic, complemented
449	#88058	C₂³	1	1	yes	characteristic, complemented
450	#88057	C₂³	1	1	yes	characteristic, complemented
451	#88057	C₂³	1	1	yes	characteristic, complemented
452	#88056	C₂³	1	1	yes	characteristic, complemented
453	#88056	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	#88050	C₂³	1	1	yes	characteristic, complemented
467	#88050	C₂³	1	1	yes	characteristic, complemented
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
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	#60579	—	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	C₂²×Dic₁₃	—	2	1	no	—
518	C₂²×Dic₁₃	—	2	1	no	—
519	C₂²×Dic₁₃	—	2	1	no	—
520	C₂²×Dic₁₃	—	2	1	no	—
521	C₂²×Dic₁₃	—	2	1	no	—
522	C₂²×Dic₁₃	—	2	1	no	—
523	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
524	Q₈×D₁₃	—	2	2	no	—
525	Q₈×D₁₃	—	2	2	no	—
526	#6129	—	2	2	no	—
527	#6129	—	2	2	no	—
528	D₄×D₁₃	—	2	8	no	—
529	D₄×D₁₃	—	2	8	no	—
530	D₄×D₁₃	—	2	2	no	—
531	D₄×D₁₃	—	2	2	no	—
532	D₄×D₁₃	—	2	2	no	—
533	D₄×D₁₃	—	2	2	no	—
534	D₄×D₁₃	—	2	2	no	—
535	D₄×D₁₃	—	2	2	no	—
536	D₄×D₁₃	#41	1	4	yes	—
537	D₄×D₁₃	#41	1	4	yes	—
538	C₂×D₅₂	—	2	1	no	—
539	C₂×D₅₂	—	2	2	no	—
540	C₂×D₅₂	—	2	2	no	—
541	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
542	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
543	C₂×C₄×D₁₃	—	2	2	no	—
544	C₂×C₄×D₁₃	—	2	2	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×C₄×D₁₃	—	2	1	no	—
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	—	2	1	no	—
550	C₂×C₄×D₁₃	—	2	1	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	—	8	2	no	—
558	C₂×C₄×D₁₃	—	8	2	no	—
559	C₂×C₄×D₁₃	—	8	2	no	—
560	C₂×C₄×D₁₃	—	8	2	no	—
561	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₂₆	—	2	1	no	—
570	C₂×Dic₂₆	—	2	1	no	—
571	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
573	C₁₃×SD₁₆	—	2	2	no	—
574	C₁₃×SD₁₆	—	2	2	no	—
575	C₁₃×D₈	—	2	2	no	—
576	C₁₃×D₈	—	2	2	no	—
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	—	2	1	no	—
592	C₁₃×C₂²⋊C₄	—	2	1	no	—
593	C₁₃×C₂²⋊C₄	—	2	1	no	—
594	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
601	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₄²×C₁₃	—	2	1	no	—
603	C₄²×C₁₃	—	2	1	no	—
604	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂²⋊Dic₁₃	—	2	1	no	—
607	C₂²⋊Dic₁₃	—	2	1	no	—
608	C₂²⋊Dic₁₃	—	2	1	no	—
609	C₂²⋊Dic₁₃	—	2	1	no	—
610	C₂²⋊Dic₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
618	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
619	#6106	—	2	2	no	—
620	#6106	—	2	2	no	—
621	#6105	—	2	2	no	—
622	#6105	—	2	2	no	—
623	#6105	—	2	2	no	—
624	#6105	—	2	2	no	—
625	#6104	—	2	2	no	—
626	#6104	—	2	2	no	—
627	#6103	—	2	1	no	—
628	#6103	—	2	1	no	—
629	#6103	—	2	1	no	—
630	#6103	—	2	1	no	—
631	#6103	—	2	1	no	—
632	#6103	—	2	1	no	—
633	#6103	—	2	1	no	—
634	#6103	—	2	1	no	—
635	#6103	—	2	1	no	—
636	#6103	—	2	1	no	—
637	#6103	—	2	1	no	—
638	#6103	—	2	1	no	—
639	#6103	—	2	1	no	—
640	#6103	—	2	1	no	—
641	#6103	C₂×D₄	1	1	yes	characteristic
642	#6103	C₂×D₄	1	1	yes	characteristic
643	#6103	C₂×D₄	1	1	yes	characteristic
644	#6103	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₁₃	—	2	1	no	—
646	C₄⋊Dic₁₃	—	2	1	no	—
647	C₄⋊Dic₁₃	—	2	1	no	—
648	C₄⋊Dic₁₃	—	2	1	no	—
649	C₄⋊Dic₁₃	—	2	1	no	—
650	C₄⋊Dic₁₃	—	2	1	no	—
651	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	—	2	1	no	—
661	#6101	—	2	1	no	—
662	#6101	—	2	1	no	—
663	#6101	—	2	1	no	—
664	#6101	—	2	1	no	—
665	#6101	—	2	1	no	—
666	#6101	—	2	1	no	—
667	#6101	—	2	1	no	—
668	#6101	—	2	1	no	—
669	#6101	—	2	1	no	—
670	#6101	—	2	1	no	—
671	#6101	—	2	1	no	—
672	#6101	—	2	1	no	—
673	#6101	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₁₃	—	2	1	no	—
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	#6095	—	2	2	no	—
697	#6095	—	2	2	no	—
698	#6095	—	2	2	no	—
699	#6095	—	2	2	no	—
700	#6094	—	2	2	no	—
701	#6094	—	2	2	no	—
702	C₈×D₁₃	—	2	2	no	—
703	C₈×D₁₃	—	2	2	no	—
704	#3495	—	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	#3118	—	13	1	no	—
711	#3118	—	13	1	no	—
712	#3118	—	13	1	no	—
713	#3118	D₁₃	1	1	yes	characteristic, complemented
714	#3114	—	13	1	no	—
715	#3114	—	13	1	no	—
716	#3110	—	13	1	no	—
717	#3110	—	13	1	no	—
718	#3105	—	13	1	no	—
719	#3105	—	13	1	no	—
720	#3101	—	13	1	no	—
721	#3101	—	13	1	no	—
722	#3095	—	13	1	no	—
723	#3091	—	13	1	no	—
724	#3081	—	13	1	no	—
725	#3081	—	13	1	no	—
726	#3042	—	13	1	no	—
727	#3042	—	13	1	no	—
728	#3003	—	13	1	no	—
729	C₂×#450	—	13	1	no	—
730	#2949	—	13	1	no	—
731	#2949	—	13	1	no	—
732	#2946	—	13	1	no	—
733	#2946	—	13	1	no	—
734	#2924	—	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	4	no	—
743	C₂²×D₁₃	—	2	4	no	—
744	C₂²×D₁₃	—	2	1	no	—
745	C₂²×D₁₃	—	2	1	no	—
746	C₂²×D₁₃	—	2	4	no	—
747	C₂²×D₁₃	—	2	2	no	—
748	C₂²×D₁₃	—	2	2	no	—
749	C₂²×D₁₃	—	2	4	no	—
750	C₂²×D₁₃	—	2	4	no	—
751	C₂²×D₁₃	—	4	1	no	—
752	C₂²×D₁₃	—	4	2	no	—
753	C₂²×D₁₃	—	4	2	no	—
754	C₂²×D₁₃	—	4	2	no	—
755	C₂²×D₁₃	—	4	2	no	—
756	C₂²×D₁₃	—	8	1	no	—
757	C₂²×D₁₃	—	8	1	no	—
758	C₂²×D₁₃	—	8	1	no	—
759	C₂²×D₁₃	—	8	1	no	—
760	C₂²×D₁₃	—	8	16	no	—
761	C₂²×D₁₃	—	8	1	no	—
762	C₂²×D₁₃	—	8	1	no	—
763	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
764	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
765	Q₈×C₁₃	—	2	1	no	—
766	Q₈×C₁₃	—	2	1	no	—
767	Q₈×C₁₃	—	8	1	no	—
768	D₄×C₁₃	—	2	4	no	—
769	D₄×C₁₃	—	2	1	no	—
770	D₄×C₁₃	—	2	1	no	—
771	D₄×C₁₃	—	2	1	no	—
772	D₄×C₁₃	—	2	1	no	—
773	D₄×C₁₃	—	8	1	no	—
774	D₄×C₁₃	C₂×#41	1	2	yes	—
775	D₄×C₁₃	C₂×#41	1	2	yes	—
776	C₂×C₄×C₁₃	—	2	1	no	—
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	—	8	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	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
794	C₂²⋊D₁₃	—	2	4	no	—
795	C₂²⋊D₁₃	—	2	4	no	—
796	C₂²⋊D₁₃	—	2	4	no	—
797	C₂²⋊D₁₃	—	2	4	no	—
798	C₂²⋊D₁₃	—	4	2	no	—
799	C₂²⋊D₁₃	—	4	2	no	—
800	C₂×Dic₁₃	—	2	2	no	—
801	C₂×Dic₁₃	—	2	1	no	—
802	C₂×Dic₁₃	—	2	1	no	—
803	C₂×Dic₁₃	—	2	1	no	—
804	C₂×Dic₁₃	—	2	1	no	—
805	C₂×Dic₁₃	—	2	1	no	—
806	C₂×Dic₁₃	—	2	1	no	—
807	C₂×Dic₁₃	—	4	2	no	—
808	C₂×Dic₁₃	—	8	1	no	—
809	C₂×Dic₁₃	—	8	1	no	—
810	C₂×Dic₁₃	—	8	1	no	—
811	C₂×Dic₁₃	—	8	1	no	—
812	C₂×Dic₁₃	—	8	1	no	—
813	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
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	D₅₂	—	2	4	no	—
820	D₅₂	—	2	1	no	—
821	D₅₂	—	2	1	no	—
822	D₅₂	C₂×#41	1	2	yes	—
823	D₅₂	C₂×#41	1	2	yes	—
824	C₄×D₁₃	—	2	2	no	—
825	C₄×D₁₃	—	2	2	no	—
826	C₄×D₁₃	—	2	2	no	—
827	C₄×D₁₃	—	2	1	no	—
828	C₄×D₁₃	—	2	1	no	—
829	C₄×D₁₃	—	2	2	no	—
830	C₄×D₁₃	—	4	1	no	—
831	C₄×D₁₃	—	4	1	no	—
832	C₄×D₁₃	—	4	2	no	—
833	C₄×D₁₃	—	4	2	no	—
834	C₄×D₁₃	—	4	2	no	—
835	C₄×D₁₃	—	8	1	no	—
836	C₄×D₁₃	—	8	1	no	—
837	C₄×D₁₃	—	8	1	no	—
838	C₄×D₁₃	—	8	1	no	—
839	C₄×D₁₃	—	8	1	no	—
840	C₄×D₁₃	—	8	1	no	—
841	C₄×D₁₃	—	8	1	no	—
842	C₄×D₁₃	—	8	1	no	—
843	C₄×D₁₃	—	8	1	no	—
844	C₄×D₁₃	C₂×#41	1	2	yes	—
845	C₄×D₁₃	C₂×#41	1	2	yes	—
846	Dic₂₆	—	2	1	no	—
847	Dic₂₆	—	2	1	no	—
848	Dic₂₆	—	2	1	no	—
849	Dic₂₆	—	2	1	no	—
850	Dic₂₆	—	4	2	no	—
851	Dic₂₆	—	8	1	no	—
852	C₈×C₁₃	—	2	1	no	—
853	C₈×C₁₃	—	2	1	no	—
854	C₈×C₁₃	—	2	1	no	—
855	C₈×C₁₃	—	2	1	no	—
856	#1055	—	2	1	no	—
857	#1055	—	2	1	no	—
858	#1055	—	2	1	no	—
859	#1055	—	2	1	no	—
860	C₂³×D₄	—	13	1	no	—
861	C₂×AGL(1,ℤ/8)	—	13	1	no	—
862	C₂×AGL(1,ℤ/8)	—	13	1	no	—
863	C₂²×SD₁₆	—	13	1	no	—
864	C₂²×SD₁₆	—	13	1	no	—
865	#556	—	26	1	no	—
866	#554	—	26	1	no	—
867	#552	—	26	1	no	—
868	#552	—	26	1	no	—
869	#552	—	26	1	no	—
870	#552	—	26	1	no	—
871	#551	—	26	1	no	—
872	#551	—	26	1	no	—
873	#544	—	13	1	no	—
874	#542	—	13	1	no	—
875	#542	C₂×D₁₃	1	1	yes	characteristic, complemented
876	#541	—	13	1	no	—
877	#541	—	13	1	no	—
878	#536	—	13	1	no	—
879	#533	—	13	1	no	—
880	#533	—	13	1	no	—
881	#529	—	13	1	no	—
882	#529	—	13	1	no	—
883	#525	—	13	1	no	—
884	C₂×C₂²⋊Q₈	—	13	1	no	—
885	#520	—	13	1	no	—
886	#519	—	13	1	no	—
887	#518	—	13	1	no	—
888	#518	—	13	1	no	—
889	#518	—	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	—	26	1	no	—
895	#518	—	26	1	no	—
896	#518	—	26	1	no	—
897	#518	—	26	1	no	—
898	#518	C₂×D₁₃	1	1	yes	characteristic
899	C₂×C₄×D₄	—	13	1	no	—
900	C₂×C₄×D₄	—	13	1	no	—
901	C₂×C₄×D₄	—	13	1	no	—
902	C₂×C₄×D₄	—	13	1	no	—
903	C₂×C₄×D₄	—	26	1	no	—
904	C₂×C₄×D₄	—	26	1	no	—
905	C₂×#117	—	13	1	no	—
906	C₂×#117	—	13	1	no	—
907	C₂²×C₂²⋊C₄	—	26	1	no	—
908	C₂²×C₂²⋊C₄	—	26	1	no	—
909	#485	—	13	1	no	—
910	#485	—	13	1	no	—
911	#485	—	13	1	no	—
912	#485	—	13	1	no	—
913	#485	—	13	1	no	—
914	#485	C₂×D₁₃	1	1	yes	characteristic, complemented
915	#484	—	13	1	no	—
916	#484	—	13	1	no	—
917	#484	—	13	1	no	—
918	#483	—	13	1	no	—
919	#483	—	13	1	no	—
920	#483	—	13	1	no	—
921	#482	—	13	1	no	—
922	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
923	#481	—	13	1	no	—
924	#480	—	13	1	no	—
925	#478	—	13	1	no	—
926	#478	—	13	1	no	—
927	#478	—	13	1	no	—
928	#478	—	13	1	no	—
929	#478	—	13	1	no	—
930	#478	—	13	1	no	—
931	#478	—	13	1	no	—
932	#478	—	13	1	no	—
933	#476	—	13	1	no	—
934	#476	—	13	1	no	—
935	#476	—	13	1	no	—
936	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
937	#474	—	13	1	no	—
938	#474	—	13	1	no	—
939	#474	—	13	1	no	—
940	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
941	#463	—	13	1	no	—
942	#463	—	13	1	no	—
943	#463	—	13	1	no	—
944	#463	—	13	1	no	—
945	#463	—	13	1	no	—
946	#463	—	13	1	no	—
947	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
949	#461	—	13	1	no	—
950	#461	—	13	1	no	—
951	#461	—	13	1	no	—
952	#461	—	13	1	no	—
953	#461	—	13	1	no	—
954	#461	—	13	1	no	—
955	#461	—	13	1	no	—
956	#461	—	13	1	no	—
957	#450	—	13	1	no	—
958	#450	—	13	1	no	—
959	#450	—	13	1	no	—
960	#450	—	13	1	no	—
961	#450	—	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	C₂×D₁₃	1	1	yes	characteristic
969	#447	—	13	1	no	—
970	#447	—	13	1	no	—
971	#447	—	13	1	no	—
972	#447	C₂×D₁₃	1	1	yes	characteristic
973	#442	—	13	1	no	—
974	#442	—	13	1	no	—
975	#442	—	13	1	no	—
976	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
977	#440	—	13	1	no	—
978	#440	—	13	1	no	—
979	#440	—	13	1	no	—
980	#440	—	13	1	no	—
981	#440	—	13	1	no	—
982	#440	—	13	1	no	—
983	#440	—	13	1	no	—
984	#440	—	13	1	no	—
985	#440	—	13	1	no	—
986	#440	—	13	1	no	—
987	#440	—	13	1	no	—
988	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
989	C₄×SD₁₆	—	13	1	no	—
990	C₄×SD₁₆	—	13	1	no	—
991	C₄×SD₁₆	—	13	1	no	—
992	C₄×SD₁₆	—	13	1	no	—
993	C₄×SD₁₆	—	13	1	no	—
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	C₂×D₁₃	1	1	yes	characteristic, complemented
1001	C₄×D₈	—	13	1	no	—
1002	C₄×D₈	—	13	1	no	—
1003	C₄×D₈	—	13	1	no	—
1004	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1005	#433	—	13	1	no	—
1006	#433	—	13	1	no	—
1007	#433	—	13	1	no	—
1008	#433	C₂×D₁₃	1	1	yes	characteristic, complemented
1009	#432	—	13	1	no	—
1010	#432	—	13	1	no	—
1011	#431	—	13	1	no	—
1012	#431	—	13	1	no	—
1013	#428	—	13	1	no	—
1014	#428	—	13	1	no	—
1015	#427	—	13	1	no	—
1016	#427	—	13	1	no	—
1017	#424	—	13	1	no	—
1018	#424	—	13	1	no	—
1019	#419	—	13	1	no	—
1020	#419	—	13	1	no	—
1021	#418	—	13	1	no	—
1022	#418	—	13	1	no	—
1023	#416	—	13	1	no	—
1024	#416	—	13	1	no	—
1025	C₂×#102	—	13	1	no	—
1026	C₂×#102	—	13	1	no	—
1027	#407	—	13	1	no	—
1028	C₂×C₂²⋊C₈	—	13	1	no	—
1029	#405	—	13	1	no	—
1030	#405	—	13	1	no	—
1031	C₂²×C₁₃	—	2	1	no	—
1032	C₂²×C₁₃	—	2	1	no	—
1033	C₂²×C₁₃	—	2	2	no	—
1034	C₂²×C₁₃	—	2	2	no	—
1035	C₂²×C₁₃	—	2	1	no	—
1036	C₂²×C₁₃	—	4	1	no	—
1037	C₂²×C₁₃	—	4	1	no	—
1038	C₂²×C₁₃	—	4	1	no	—
1039	C₂²×C₁₃	—	4	1	no	—
1040	C₂²×C₁₃	—	4	1	no	—
1041	C₂²×C₁₃	—	4	1	no	—
1042	C₂²×C₁₃	—	4	1	no	—
1043	C₂²×C₁₃	—	8	4	no	—
1044	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1045	C₂×D₁₃	—	2	1	no	—
1046	C₂×D₁₃	—	2	1	no	—
1047	C₂×D₁₃	—	2	1	no	—
1048	C₂×D₁₃	—	2	1	no	—
1049	C₂×D₁₃	—	2	2	no	—
1050	C₂×D₁₃	—	2	2	no	—
1051	C₂×D₁₃	—	4	4	no	—
1052	C₂×D₁₃	—	4	8	no	—
1053	C₂×D₁₃	—	4	8	no	—
1054	C₂×D₁₃	—	4	1	no	—
1055	C₂×D₁₃	—	4	1	no	—
1056	C₂×D₁₃	—	4	1	no	—
1057	C₂×D₁₃	—	4	1	no	—
1058	C₂×D₁₃	—	8	4	no	—
1059	C₂×D₁₃	—	8	4	no	—
1060	C₂×D₁₃	—	8	4	no	—
1061	C₂×D₁₃	#525	1	2	yes	—
1062	C₂×D₁₃	#577	1	2	yes	—
1063	C₄×C₁₃	—	2	1	no	—
1064	C₄×C₁₃	—	2	1	no	—
1065	C₄×C₁₃	—	2	1	no	—
1066	C₄×C₁₃	—	2	1	no	—
1067	C₄×C₁₃	—	2	1	no	—
1068	C₄×C₁₃	—	4	1	no	—
1069	C₄×C₁₃	—	4	1	no	—
1070	C₄×C₁₃	—	4	1	no	—
1071	C₄×C₁₃	—	4	1	no	—
1072	C₄×C₁₃	—	4	1	no	—
1073	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1074	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1075	Dic₁₃	—	2	1	no	—
1076	Dic₁₃	—	2	1	no	—
1077	Dic₁₃	—	2	1	no	—
1078	Dic₁₃	—	2	1	no	—
1079	Dic₁₃	—	2	1	no	—
1080	Dic₁₃	—	4	1	no	—
1081	Dic₁₃	—	4	1	no	—
1082	Dic₁₃	—	4	1	no	—
1083	Dic₁₃	—	4	1	no	—
1084	Dic₁₃	—	4	1	no	—
1085	Dic₁₃	—	4	1	no	—
1086	Dic₁₃	#525	1	2	yes	—
1087	C₂⁵	—	26	1	no	—
1088	C₂×#41	—	13	1	no	—
1089	C₂²×Q₈	—	13	1	no	—
1090	C₂²×D₄	—	13	1	no	—
1091	C₂²×D₄	—	13	1	no	—
1092	C₂²×D₄	—	13	1	no	—
1093	C₂²×D₄	—	13	1	no	—
1094	C₂²×D₄	—	13	1	no	—
1095	C₂²×D₄	—	26	1	no	—
1096	C₂²×D₄	—	26	1	no	—
1097	C₂²×D₄	—	26	1	no	—
1098	C₂²×D₄	—	26	4	no	—
1099	C₂²×D₄	—	26	4	no	—
1100	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1101	C₂³×C₄	—	13	1	no	—
1102	C₂³×C₄	—	26	1	no	—
1103	C₂³×C₄	—	26	1	no	—
1104	C₂³×C₄	—	26	1	no	—
1105	C₂³×C₄	—	26	1	no	—
1106	AGL(1,ℤ/8)	—	26	4	no	—
1107	AGL(1,ℤ/8)	—	26	4	no	—
1108	C₂×SD₁₆	—	13	1	no	—
1109	C₂×SD₁₆	—	13	1	no	—
1110	C₂×SD₁₆	—	13	1	no	—
1111	C₂×SD₁₆	—	13	1	no	—
1112	C₂×SD₁₆	—	13	1	no	—
1113	C₂×SD₁₆	—	13	1	no	—
1114	C₂×SD₁₆	—	13	1	no	—
1115	C₂×SD₁₆	—	13	1	no	—
1116	C₂×SD₁₆	—	13	1	no	—
1117	C₂×SD₁₆	—	13	1	no	—
1118	C₂×SD₁₆	—	26	4	no	—
1119	C₂×SD₁₆	—	26	4	no	—
1120	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1122	C₂×D₈	—	13	1	no	—
1123	C₂×D₈	—	13	1	no	—
1124	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1125	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1126	C₂×M₁₆	—	13	1	no	—
1127	C₂×M₁₆	—	13	1	no	—
1128	C₂²×C₈	—	13	1	no	—
1129	C₂²×C₈	—	13	1	no	—
1130	C₄⋊Q₈	—	13	1	no	—
1131	C₄⋊Q₈	—	13	1	no	—
1132	C₄⋊Q₈	—	13	1	no	—
1133	C₄⋊Q₈	—	26	1	no	—
1134	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1135	#126	—	2	1	no	—
1136	#126	—	26	1	no	—
1137	#126	—	26	1	no	—
1138	#126	—	26	1	no	—
1139	#126	—	26	1	no	—
1140	#126	—	26	1	no	—
1141	#126	—	26	1	no	—
1142	#126	—	26	1	no	—
1143	#125	—	13	1	no	—
1144	#125	—	13	1	no	—
1145	#125	—	26	1	no	—
1146	#125	—	26	1	no	—
1147	#125	—	26	1	no	—
1148	#125	—	26	1	no	—
1149	#125	—	26	1	no	—
1150	#125	—	26	1	no	—
1151	#125	—	26	1	no	—
1152	#124	—	2	1	no	—
1153	#124	—	13	1	no	—
1154	#124	—	26	1	no	—
1155	#124	C₂²×D₁₃	1	1	yes	characteristic, complemented
1156	#123	—	2	1	no	—
1157	#123	—	26	1	no	—
1158	#123	—	26	1	no	—
1159	#123	—	26	1	no	—
1160	#123	—	26	1	no	—
1161	#123	—	26	1	no	—
1162	#123	—	26	1	no	—
1163	C₂²⋊Q₈	—	2	1	no	—
1164	C₂²⋊Q₈	—	13	1	no	—
1165	C₂²⋊Q₈	—	13	1	no	—
1166	C₂²⋊Q₈	—	13	1	no	—
1167	C₂²⋊Q₈	—	13	1	no	—
1168	C₂²⋊Q₈	—	13	1	no	—
1169	C₂²⋊Q₈	—	26	1	no	—
1170	C₂²⋊Q₈	—	26	1	no	—
1171	C₂²⋊Q₈	—	26	1	no	—
1172	C₂²⋊Q₈	—	26	1	no	—
1173	C₂²⋊Q₈	—	26	1	no	—
1174	C₂²⋊Q₈	—	26	1	no	—
1175	C₂²⋊Q₈	—	26	1	no	—
1176	C₂²⋊Q₈	—	26	1	no	—
1177	C₂²⋊Q₈	—	26	1	no	—
1178	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1179	#121	—	13	1	no	—
1180	#121	C₂²×D₁₃	1	1	yes	characteristic
1181	#120	—	26	1	no	—
1182	C₄×Q₈	—	13	1	no	—
1183	C₄×Q₈	—	13	1	no	—
1184	C₄×Q₈	—	13	1	no	—
1185	C₄×Q₈	—	13	1	no	—
1186	C₄×Q₈	—	13	1	no	—
1187	C₄×Q₈	—	26	1	no	—
1188	C₄×Q₈	—	26	1	no	—
1189	C₄×Q₈	—	26	1	no	—
1190	C₄×Q₈	—	26	1	no	—
1191	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1192	C₄×D₄	—	2	1	no	—
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	13	1	no	—
1195	C₄×D₄	—	13	1	no	—
1196	C₄×D₄	—	13	1	no	—
1197	C₄×D₄	—	13	1	no	—
1198	C₄×D₄	—	13	1	no	—
1199	C₄×D₄	—	13	1	no	—
1200	C₄×D₄	—	13	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	—	26	1	no	—
1208	C₄×D₄	—	26	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	—	26	1	no	—
1211	C₄×D₄	—	26	1	no	—
1212	C₄×D₄	—	26	1	no	—
1213	C₄×D₄	—	26	1	no	—
1214	C₄×D₄	—	26	1	no	—
1215	C₄×D₄	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1236	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1237	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1238	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1239	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1240	#117	—	13	1	no	—
1241	#117	—	13	1	no	—
1242	#117	—	13	1	no	—
1243	#117	—	13	1	no	—
1244	#117	—	13	1	no	—
1245	#117	—	13	1	no	—
1246	#117	—	13	1	no	—
1247	#117	—	13	1	no	—
1248	#117	—	13	1	no	—
1249	#117	—	13	1	no	—
1250	#117	—	13	1	no	—
1251	#117	—	26	1	no	—
1252	#117	—	26	1	no	—
1253	#117	—	26	1	no	—
1254	#117	—	26	1	no	—
1255	#117	—	26	1	no	—
1256	#117	—	26	1	no	—
1257	#117	—	26	1	no	—
1258	#117	—	26	1	no	—
1259	#117	—	26	1	no	—
1260	#117	C₂²×D₁₃	1	1	yes	characteristic
1261	#117	C₂²×D₁₃	1	1	yes	characteristic
1262	C₂×C₄⋊C₄	—	13	1	no	—
1263	C₂×C₄⋊C₄	—	13	1	no	—
1264	C₂×C₄⋊C₄	—	13	1	no	—
1265	C₂×C₄⋊C₄	—	13	1	no	—
1266	C₂×C₄⋊C₄	—	13	1	no	—
1267	C₂×C₄⋊C₄	—	26	1	no	—
1268	C₂×C₄⋊C₄	—	26	1	no	—
1269	C₂×C₂²⋊C₄	—	2	1	no	—
1270	C₂×C₂²⋊C₄	—	2	1	no	—
1271	C₂×C₂²⋊C₄	—	13	1	no	—
1272	C₂×C₂²⋊C₄	—	13	1	no	—
1273	C₂×C₂²⋊C₄	—	26	1	no	—
1274	C₂×C₂²⋊C₄	—	26	1	no	—
1275	C₂×C₂²⋊C₄	—	26	1	no	—
1276	C₂×C₂²⋊C₄	—	26	1	no	—
1277	C₂×C₂²⋊C₄	—	26	1	no	—
1278	C₂×C₂²⋊C₄	—	26	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×C₄²	—	13	1	no	—
1294	C₂×C₄²	—	13	1	no	—
1295	C₂×C₄²	—	26	1	no	—
1296	#107	—	13	1	no	—
1297	#107	—	13	1	no	—
1298	#107	—	13	1	no	—
1299	#107	—	13	1	no	—
1300	#107	—	13	1	no	—
1301	#107	—	13	1	no	—
1302	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1303	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1304	#106	—	13	1	no	—
1305	#106	—	13	1	no	—
1306	#106	—	13	1	no	—
1307	#106	—	13	1	no	—
1308	#106	—	13	1	no	—
1309	#106	—	13	1	no	—
1310	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1311	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1312	C₄⋊C₈	—	13	1	no	—
1313	C₄⋊C₈	—	13	1	no	—
1314	C₄⋊C₈	—	13	1	no	—
1315	C₄⋊C₈	—	13	1	no	—
1316	C₄⋊C₈	—	13	1	no	—
1317	C₄⋊C₈	—	13	1	no	—
1318	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1319	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1320	#103	—	13	1	no	—
1321	#103	—	13	1	no	—
1322	#103	—	13	1	no	—
1323	#103	—	13	1	no	—
1324	#103	—	13	1	no	—
1325	#103	—	13	1	no	—
1326	#103	—	13	1	no	—
1327	#103	—	13	1	no	—
1328	#103	—	13	1	no	—
1329	#103	—	13	1	no	—
1330	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1331	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1332	#102	—	13	1	no	—
1333	#102	—	13	1	no	—
1334	#102	—	13	1	no	—
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	C₂²×D₁₃	1	1	yes	characteristic
1347	#102	C₂²×D₁₃	1	1	yes	characteristic
1348	#102	C₂²×D₁₃	1	1	yes	characteristic
1349	#102	C₂²×D₁₃	1	1	yes	characteristic
1350	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1351	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1352	C₂²⋊C₈	—	13	1	no	—
1353	C₂²⋊C₈	—	13	1	no	—
1354	C₂²⋊C₈	—	13	1	no	—
1355	C₂²⋊C₈	—	13	1	no	—
1356	C₂²⋊C₈	—	13	1	no	—
1357	C₂²⋊C₈	—	13	1	no	—
1358	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1360	#97	—	13	1	no	—
1361	#97	—	13	1	no	—
1362	#97	—	13	1	no	—
1363	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1364	C₄×C₈	—	13	1	no	—
1365	C₄×C₈	—	13	1	no	—
1366	C₄×C₈	—	13	1	no	—
1367	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1368	C₂×C₁₃	—	4	1	no	—
1369	C₂×C₁₃	—	4	2	no	—
1370	C₂×C₁₃	—	4	2	no	—
1371	C₂×C₁₃	—	8	1	no	—
1372	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1373	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1374	C₂×C₁₃	#3585	1	1	yes	characteristic
1375	D₁₃	—	2	2	no	—
1376	D₁₃	—	2	2	no	—
1377	D₁₃	—	4	2	no	—
1378	D₁₃	—	4	2	no	—
1379	C₂⁴	—	2	1	no	—
1380	C₂⁴	—	13	1	no	—
1381	C₂⁴	—	26	1	no	—
1382	C₂⁴	—	26	1	no	—
1383	C₂⁴	—	26	1	no	—
1384	C₂⁴	—	26	1	no	—
1385	C₂⁴	—	26	8	no	—
1386	C₂⁴	—	26	1	no	—
1387	C₂⁴	—	104	2	no	—
1388	C₂⁴	—	104	2	no	—
1389	#41	—	26	2	no	—
1390	#41	—	26	2	no	—
1391	C₂×Q₈	—	2	1	no	—
1392	C₂×Q₈	—	13	1	no	—
1393	C₂×Q₈	—	13	1	no	—
1394	C₂×Q₈	—	26	1	no	—
1395	C₂×Q₈	—	26	1	no	—
1396	C₂×Q₈	—	26	2	no	—
1397	C₂×Q₈	—	26	2	no	—
1398	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1399	C₂×D₄	—	2	2	no	—
1400	C₂×D₄	—	2	2	no	—
1401	C₂×D₄	—	2	1	no	—
1402	C₂×D₄	—	2	1	no	—
1403	C₂×D₄	—	13	4	no	—
1404	C₂×D₄	—	13	4	no	—
1405	C₂×D₄	—	13	1	no	—
1406	C₂×D₄	—	13	1	no	—
1407	C₂×D₄	—	26	2	no	—
1408	C₂×D₄	—	26	2	no	—
1409	C₂×D₄	—	26	2	no	—
1410	C₂×D₄	—	26	2	no	—
1411	C₂×D₄	—	26	1	no	—
1412	C₂×D₄	—	26	1	no	—
1413	C₂×D₄	—	26	1	no	—
1414	C₂×D₄	—	26	1	no	—
1415	C₂×D₄	—	26	2	no	—
1416	C₂×D₄	—	26	2	no	—
1417	C₂×D₄	—	26	8	no	—
1418	C₂×D₄	—	26	8	no	—
1419	C₂×D₄	—	26	8	no	—
1420	C₂×D₄	—	26	2	no	—
1421	C₂×D₄	—	26	2	no	—
1422	C₂×D₄	—	26	1	no	—
1423	C₂×D₄	—	26	1	no	—
1424	C₂×D₄	—	26	1	no	—
1425	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1426	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1427	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	13	1	no	—
1434	C₂²×C₄	—	13	1	no	—
1435	C₂²×C₄	—	13	1	no	—
1436	C₂²×C₄	—	13	1	no	—
1437	C₂²×C₄	—	13	1	no	—
1438	C₂²×C₄	—	13	1	no	—
1439	C₂²×C₄	—	13	1	no	—
1440	C₂²×C₄	—	13	1	no	—
1441	C₂²×C₄	—	13	1	no	—
1442	C₂²×C₄	—	26	2	no	—
1443	C₂²×C₄	—	26	2	no	—
1444	C₂²×C₄	—	26	1	no	—
1445	C₂²×C₄	—	26	1	no	—
1446	C₂²×C₄	—	26	1	no	—
1447	C₂²×C₄	—	26	1	no	—
1448	C₂²×C₄	—	26	1	no	—
1449	C₂²×C₄	—	26	1	no	—
1450	C₂²×C₄	—	26	1	no	—
1451	C₂²×C₄	—	26	1	no	—
1452	C₂²×C₄	—	26	1	no	—
1453	C₂²×C₄	—	26	1	no	—
1454	C₂²×C₄	—	26	1	no	—
1455	C₂²×C₄	—	26	1	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	—	104	2	no	—
1463	C₂²×C₄	—	104	2	no	—
1464	C₂²×C₄	—	104	2	no	—
1465	C₂²×C₄	—	104	2	no	—
1466	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1467	SD₁₆	—	2	2	no	—
1468	SD₁₆	—	2	2	no	—
1469	SD₁₆	—	26	2	no	—
1470	SD₁₆	—	26	2	no	—
1471	SD₁₆	—	26	2	no	—
1472	SD₁₆	—	26	2	no	—
1473	SD₁₆	—	26	2	no	—
1474	SD₁₆	—	26	2	no	—
1475	SD₁₆	—	26	2	no	—
1476	SD₁₆	—	26	2	no	—
1477	SD₁₆	—	26	2	no	—
1478	SD₁₆	—	26	2	no	—
1479	D₈	—	2	2	no	—
1480	D₈	—	2	2	no	—
1481	D₈	—	26	2	no	—
1482	D₈	—	26	2	no	—
1483	M₁₆	—	26	2	no	—
1484	M₁₆	—	26	2	no	—
1485	C₂×C₈	—	13	1	no	—
1486	C₂×C₈	—	13	1	no	—
1487	C₂×C₈	—	13	1	no	—
1488	C₂×C₈	—	13	1	no	—
1489	C₂×C₈	—	26	2	no	—
1490	C₂×C₈	—	26	2	no	—
1491	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1492	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1494	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1495	C₄⋊C₄	—	2	1	no	—
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	13	1	no	—
1499	C₄⋊C₄	—	13	1	no	—
1500	C₄⋊C₄	—	13	1	no	—
1501	C₄⋊C₄	—	13	1	no	—
1502	C₄⋊C₄	—	13	1	no	—
1503	C₄⋊C₄	—	13	1	no	—
1504	C₄⋊C₄	—	13	1	no	—
1505	C₄⋊C₄	—	13	1	no	—
1506	C₄⋊C₄	—	13	1	no	—
1507	C₄⋊C₄	—	13	1	no	—
1508	C₄⋊C₄	—	26	1	no	—
1509	C₄⋊C₄	—	26	1	no	—
1510	C₄⋊C₄	—	26	1	no	—
1511	C₄⋊C₄	—	26	1	no	—
1512	C₄⋊C₄	—	26	1	no	—
1513	C₄⋊C₄	—	26	1	no	—
1514	C₄⋊C₄	—	26	1	no	—
1515	C₄⋊C₄	—	26	1	no	—
1516	C₄⋊C₄	—	26	1	no	—
1517	C₄⋊C₄	—	26	1	no	—
1518	C₄⋊C₄	—	26	1	no	—
1519	C₄⋊C₄	—	26	1	no	—
1520	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1531	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1532	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1533	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1534	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1535	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	2	1	no	—
1541	C₂²⋊C₄	—	2	1	no	—
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	—	13	1	no	—
1547	C₂²⋊C₄	—	13	1	no	—
1548	C₂²⋊C₄	—	13	1	no	—
1549	C₂²⋊C₄	—	13	1	no	—
1550	C₂²⋊C₄	—	13	1	no	—
1551	C₂²⋊C₄	—	13	1	no	—
1552	C₂²⋊C₄	—	26	1	no	—
1553	C₂²⋊C₄	—	26	1	no	—
1554	C₂²⋊C₄	—	26	1	no	—
1555	C₂²⋊C₄	—	26	1	no	—
1556	C₂²⋊C₄	—	26	1	no	—
1557	C₂²⋊C₄	—	26	1	no	—
1558	C₂²⋊C₄	—	26	1	no	—
1559	C₂²⋊C₄	—	26	1	no	—
1560	C₂²⋊C₄	—	26	1	no	—
1561	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	D₄×D₁₃	1	1	yes	characteristic
1578	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1579	C₄²	—	2	1	no	—
1580	C₄²	—	2	1	no	—
1581	C₄²	—	13	1	no	—
1582	C₄²	—	13	1	no	—
1583	C₄²	—	13	1	no	—
1584	C₄²	—	13	1	no	—
1585	C₄²	—	13	1	no	—
1586	C₄²	—	13	1	no	—
1587	C₄²	—	26	1	no	—
1588	C₄²	—	26	1	no	—
1589	C₄²	—	26	1	no	—
1590	C₄²	—	26	1	no	—
1591	C₄²	—	26	1	no	—
1592	C₄²	—	26	1	no	—
1593	C₄²	—	26	1	no	—
1594	C₄²	—	26	1	no	—
1595	C₄²	—	26	1	no	—
1596	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1597	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1598	C₁₃	#60579	1	1	yes	characteristic, complemented, Sylow
1599	C₂³	—	2	4	no	—
1600	C₂³	—	2	1	no	—
1601	C₂³	—	2	1	no	—
1602	C₂³	—	2	1	no	—
1603	C₂³	—	8	1	no	—
1604	C₂³	—	8	1	no	—
1605	C₂³	—	13	1	no	—
1606	C₂³	—	13	1	no	—
1607	C₂³	—	26	2	no	—
1608	C₂³	—	26	2	no	—
1609	C₂³	—	26	4	no	—
1610	C₂³	—	26	4	no	—
1611	C₂³	—	26	4	no	—
1612	C₂³	—	26	4	no	—
1613	C₂³	—	26	4	no	—
1614	C₂³	—	26	1	no	—
1615	C₂³	—	26	1	no	—
1616	C₂³	—	52	1	no	—
1617	C₂³	—	52	2	no	—
1618	C₂³	—	52	2	no	—
1619	C₂³	—	52	2	no	—
1620	C₂³	—	52	2	no	—
1621	C₂³	—	104	1	no	—
1622	C₂³	—	104	1	no	—
1623	C₂³	—	104	1	no	—
1624	C₂³	—	104	1	no	—
1625	C₂³	—	104	1	no	—
1626	C₂³	—	104	1	no	—
1627	C₂³	—	104	16	no	—
1628	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1629	Q₈	—	2	1	no	—
1630	Q₈	—	2	1	no	—
1631	Q₈	—	8	1	no	—
1632	Q₈	—	26	1	no	—
1633	Q₈	—	26	1	no	—
1634	Q₈	—	26	1	no	—
1635	Q₈	—	26	1	no	—
1636	Q₈	—	52	2	no	—
1637	Q₈	—	104	1	no	—
1638	D₄	—	2	4	no	—
1639	D₄	—	2	1	no	—
1640	D₄	—	2	1	no	—
1641	D₄	—	2	1	no	—
1642	D₄	—	2	1	no	—
1643	D₄	—	8	1	no	—
1644	D₄	—	13	2	no	—
1645	D₄	—	13	2	no	—
1646	D₄	—	26	4	no	—
1647	D₄	—	26	4	no	—
1648	D₄	—	26	4	no	—
1649	D₄	—	26	4	no	—
1650	D₄	—	26	4	no	—
1651	D₄	—	26	1	no	—
1652	D₄	—	26	1	no	—
1653	D₄	—	52	2	no	—
1654	D₄	—	52	2	no	—
1655	D₄	#41×D₁₃	1	2	yes	—
1656	D₄	#41×D₁₃	1	2	yes	—
1657	C₂×C₄	—	2	1	no	—
1658	C₂×C₄	—	2	1	no	—
1659	C₂×C₄	—	2	1	no	—
1660	C₂×C₄	—	2	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	8	1	no	—
1665	C₂×C₄	—	8	1	no	—
1666	C₂×C₄	—	8	1	no	—
1667	C₂×C₄	—	8	1	no	—
1668	C₂×C₄	—	8	1	no	—
1669	C₂×C₄	—	13	1	no	—
1670	C₂×C₄	—	13	2	no	—
1671	C₂×C₄	—	13	2	no	—
1672	C₂×C₄	—	13	1	no	—
1673	C₂×C₄	—	13	1	no	—
1674	C₂×C₄	—	13	1	no	—
1675	C₂×C₄	—	13	1	no	—
1676	C₂×C₄	—	13	1	no	—
1677	C₂×C₄	—	26	2	no	—
1678	C₂×C₄	—	26	2	no	—
1679	C₂×C₄	—	26	2	no	—
1680	C₂×C₄	—	26	2	no	—
1681	C₂×C₄	—	26	2	no	—
1682	C₂×C₄	—	26	1	no	—
1683	C₂×C₄	—	26	1	no	—
1684	C₂×C₄	—	26	1	no	—
1685	C₂×C₄	—	26	1	no	—
1686	C₂×C₄	—	26	1	no	—
1687	C₂×C₄	—	26	1	no	—
1688	C₂×C₄	—	26	1	no	—
1689	C₂×C₄	—	26	1	no	—
1690	C₂×C₄	—	52	1	no	—
1691	C₂×C₄	—	52	1	no	—
1692	C₂×C₄	—	52	2	no	—
1693	C₂×C₄	—	52	2	no	—
1694	C₂×C₄	—	52	2	no	—
1695	C₂×C₄	—	52	2	no	—
1696	C₂×C₄	—	104	1	no	—
1697	C₂×C₄	—	104	1	no	—
1698	C₂×C₄	—	104	1	no	—
1699	C₂×C₄	—	104	1	no	—
1700	C₂×C₄	—	104	1	no	—
1701	C₂×C₄	—	104	1	no	—
1702	C₂×C₄	—	104	1	no	—
1703	C₂×C₄	—	104	1	no	—
1704	C₂×C₄	—	104	1	no	—
1705	C₂×C₄	—	104	1	no	—
1706	C₂×C₄	—	104	1	no	—
1707	C₂×C₄	—	104	1	no	—
1708	C₂×C₄	—	104	1	no	—
1709	C₂×C₄	—	104	1	no	—
1710	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1711	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1712	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1713	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1714	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1715	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1716	C₈	—	2	1	no	—
1717	C₈	—	2	1	no	—
1718	C₈	—	2	1	no	—
1719	C₈	—	2	1	no	—
1720	C₈	—	26	1	no	—
1721	C₈	—	26	1	no	—
1722	C₈	—	26	1	no	—
1723	C₈	—	26	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	2	1	no	—
1726	C₂²	—	2	2	no	—
1727	C₂²	—	2	2	no	—
1728	C₂²	—	2	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	4	1	no	—
1735	C₂²	—	4	1	no	—
1736	C₂²	—	8	4	no	—
1737	C₂²	—	13	2	no	—
1738	C₂²	—	13	2	no	—
1739	C₂²	—	26	1	no	—
1740	C₂²	—	26	1	no	—
1741	C₂²	—	26	1	no	—
1742	C₂²	—	26	1	no	—
1743	C₂²	—	26	2	no	—
1744	C₂²	—	26	2	no	—
1745	C₂²	—	52	4	no	—
1746	C₂²	—	52	8	no	—
1747	C₂²	—	52	8	no	—
1748	C₂²	—	52	1	no	—
1749	C₂²	—	52	1	no	—
1750	C₂²	—	52	1	no	—
1751	C₂²	—	52	1	no	—
1752	C₂²	—	104	4	no	—
1753	C₂²	—	104	4	no	—
1754	C₂²	—	104	4	no	—
1755	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	2	1	no	—
1760	C₄	—	2	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	4	1	no	—
1765	C₄	—	4	1	no	—
1766	C₄	—	13	2	no	—
1767	C₄	—	26	1	no	—
1768	C₄	—	26	1	no	—
1769	C₄	—	26	1	no	—
1770	C₄	—	26	1	no	—
1771	C₄	—	26	1	no	—
1772	C₄	—	52	1	no	—
1773	C₄	—	52	1	no	—
1774	C₄	—	52	1	no	—
1775	C₄	—	52	1	no	—
1776	C₄	—	52	1	no	—
1777	C₄	—	52	1	no	—
1778	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1779	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1780	C₂	—	4	1	no	—
1781	C₂	—	4	2	no	—
1782	C₂	—	4	2	no	—
1783	C₂	—	8	1	no	—
1784	C₂	—	26	2	no	—
1785	C₂	—	26	2	no	—
1786	C₂	—	52	2	no	—
1787	C₂	—	52	2	no	—
1788	C₂	D₁₃×#525	1	1	yes	characteristic
1789	C₂	D₁₃×#577	1	1	yes	characteristic
1790	C₂	#13129611	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
prime radical	#13124060	C₂
hypercenter	#3118	D₁₃
hypocenter	C₁₃	#60579
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. #13128586	C₂	semidirect
2. D₁₃×#518	C₂	semidirect
3. #13125089	C₂	semidirect
4. #13125088	C₂	semidirect
5. #13125084	C₂	semidirect
6. #13125082	C₂	semidirect
7. #13125015	C₂	semidirect
8. #13125014	C₂	semidirect
9. #13125013	C₂	semidirect
10. #13124973	C₂	semidirect
11. #13124972	C₂	semidirect
12. #13124937	C₂	semidirect
13. #13124933	C₂	semidirect
14. #13124882	C₂	semidirect
15. #13124881	C₂	semidirect
16. #13124846	C₂	semidirect
17. #13124842	C₂	semidirect
18. #13124783	C₂	semidirect
19. #13124748	C₂	semidirect
20. #13124662	C₂	semidirect
21. #13124660	C₂	semidirect
22. #13124346	C₂	semidirect
23. #13124346	C₂	semidirect
25. D₁₃×#450	C₂	semidirect
26. #13123692	C₂	semidirect
27. #13123690	C₂	semidirect
28. #13123665	C₂	semidirect
29. #13123661	C₂	semidirect
30. #13123492	C₂	semidirect
31. C₁₃×#3118	C₂	semidirect
33. C₁₃×#542	C₂²	semidirect
40. #11719434	C₂²	semidirect
41. #11719433	C₂²	semidirect
44. #11719385	C₂²	semidirect
46. #11719380	C₂²	semidirect
53. #11719330	C₂²	semidirect
55. #11719308	C₂²	semidirect
56. #11719283	C₂²	semidirect
57. #11719277	C₂²	semidirect
58. #11719262	C₂²	semidirect
59. #11719251	C₂²	semidirect
76. #11719223	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. #11718814	C₂²	semidirect
105. #11718814	C₂²	semidirect
106. #11718813	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. #11718680	C₂²	semidirect
119. #11718680	C₂²	semidirect
120. #11718679	C₂²	semidirect
121. #11718679	C₂²	semidirect
122. C₄×#6105	C₂²	semidirect
123. C₄×#6105	C₂²	semidirect
124. #11718675	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. #11718670	C₂²	semidirect
127. #11718670	C₂²	semidirect
128. #11718661	C₂²	semidirect
129. #11718657	C₂²	semidirect
130. #11718657	C₂²	semidirect
131. #11718552	C₂²	semidirect
132. #11718551	C₂²	semidirect
133. #11718550	C₂²	semidirect
134. #11718550	C₂²	semidirect
135. #11718545	C₂²	semidirect
136. #11718545	C₂²	semidirect
137. #11718542	C₂²	semidirect
138. #11718541	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718523	C₂²	semidirect
142. #11718523	C₂²	semidirect
143. #11718522	C₂²	semidirect
144. #11718521	C₂²	semidirect
145. #11718513	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718508	C₂²	semidirect
149. #11718502	C₂²	semidirect
150. #11718502	C₂²	semidirect
151. #11718500	C₂²	semidirect
152. #11718500	C₂²	semidirect
153. #11718496	C₂²	semidirect
154. #11718494	C₂²	semidirect
155. #11718479	C₂²	semidirect
156. #11718479	C₂²	semidirect
157. #11718478	C₂²	semidirect
158. #11718470	C₂²	semidirect
159. #11718466	C₂²	semidirect
160. #11718463	C₂²	semidirect
161. #11718463	C₂²	semidirect
162. #11718449	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718448	C₂²	semidirect
165. #11718446	C₂²	semidirect
166. #11718438	C₂²	semidirect
171. #11718435	C₂²	semidirect
172. #11718433	C₂²	semidirect
173. #11718433	C₂²	semidirect
178. #11718427	C₂²	semidirect
179. #11718424	C₂²	semidirect
180. #11718422	C₂²	semidirect
181. #11718420	C₂²	semidirect
182. #11718419	C₂²	semidirect
183. #11718419	C₂²	semidirect
184. #11718418	C₂²	semidirect
185. #11718418	C₂²	semidirect
186. #11718417	C₂²	semidirect
191. #11718384	C₂²	semidirect
192. #11718384	C₂²	semidirect
193. #11718381	C₂²	semidirect
194. #11718381	C₂²	semidirect
195. #11718371	C₂²	semidirect
196. #11718371	C₂²	semidirect
197. #11718369	C₂²	semidirect
198. #11718366	C₂²	semidirect
199. C₄×#6095	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718350	C₂²	semidirect
202. #11718346	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
252. Q₈×Dic₁₃	C₂³	semidirect
254. #88198	C₂³	semidirect
260. #88190	C₂³	semidirect
269. D₄×Dic₁₃	C₂³	semidirect
334. #88144	C₂³	semidirect
340. #88142	C₂³	semidirect
342. #88141	C₂³	semidirect
343. #88141	C₂³	semidirect
406. #88124	C₂³	semidirect
407. #88123	C₂³	semidirect
410. C₄×Dic₂₆	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
448. #88058	C₂³	semidirect
449. #88058	C₂³	semidirect
450. #88057	C₂³	semidirect
451. #88057	C₂³	semidirect
452. #88056	C₂³	semidirect
453. #88056	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
466. #88050	C₂³	semidirect
467. #88050	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
713. #3118	D₁₃	semidirect
875. #542	C₂×D₁₃	semidirect
914. #485	C₂×D₁₃	semidirect
922. #482	C₂×D₁₃	semidirect
936. #476	C₂×D₁₃	semidirect
940. #474	C₂×D₁₃	semidirect
947. #463	C₂×D₁₃	semidirect
948. #463	C₂×D₁₃	semidirect
976. #442	C₂×D₁₃	semidirect
988. #440	C₂×D₁₃	semidirect
1000. C₄×SD₁₆	C₂×D₁₃	semidirect
1004. C₄×D₈	C₂×D₁₃	semidirect
1008. #433	C₂×D₁₃	semidirect
1134. C₄⋊Q₈	C₂²×D₁₃	semidirect
1155. #124	C₂²×D₁₃	semidirect
1191. C₄×Q₈	C₂²×D₁₃	semidirect
1239. C₄×D₄	C₂²×D₁₃	semidirect
1302. #107	C₂²×D₁₃	semidirect
1303. #107	C₂²×D₁₃	semidirect
1310. #106	C₂²×D₁₃	semidirect
1311. #106	C₂²×D₁₃	semidirect
1318. C₄⋊C₈	C₂²×D₁₃	semidirect
1319. C₄⋊C₈	C₂²×D₁₃	semidirect
1330. #103	C₂²×D₁₃	semidirect
1331. #103	C₂²×D₁₃	semidirect
1350. #102	C₂²×D₁₃	semidirect
1351. #102	C₂²×D₁₃	semidirect
1363. #97	C₂²×D₁₃	semidirect
1367. C₄×C₈	C₂²×D₁₃	semidirect
1598. C₁₃	#60579	semidirect

Maximal subgroups

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

subgroup	index
#13128586	2
D₁₃×#518	2
#13125089	2
#13125088	2
#13125084	2
#13125082	2
#13125015	2
#13125014	2
#13125013	2
#13124973	2
#13124972	2
#13124937	2
#13124933	2
#13124882	2
#13124881	2
#13124846	2
#13124842	2
#13124783	2
#13124748	2
#13124662	2
#13124660	2
#13124346	2
#13124060	2
D₁₃×#450	2
#13123692	2
#13123690	2
#13123665	2
#13123661	2
#13123492	2
C₁₃×#3118	2
#60579	13