Subgroups — #16731278

Order 3328.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 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	#13128034	C₂	1	1	yes	maximal, characteristic, complemented
3	#13125132	C₂	1	1	yes	maximal, characteristic, complemented
4	#13125123	C₂	1	1	yes	maximal, characteristic, complemented
5	#13125118	C₂	1	1	yes	maximal, characteristic, complemented
6	#13125110	C₂	1	1	yes	maximal, characteristic, complemented
7	#13125103	C₂	1	1	yes	maximal, characteristic, complemented
8	#13125095	C₂	1	1	yes	maximal, characteristic, complemented
9	#13125082	C₂	1	1	yes	maximal, characteristic, complemented
10	#13125073	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125067	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125059	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125054	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125046	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125039	C₂	1	1	yes	maximal, characteristic, complemented
16	#13125031	C₂	1	1	yes	maximal, characteristic, complemented
17	#13125020	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124754	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124625	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124617	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124288	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124288	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124055	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124049	C₂	1	1	yes	maximal, characteristic, complemented
26	#13123633	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123631	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88170	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#88166	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3118	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#6129	C₂²	1	1	yes	characteristic
33	C₁₃×#542	C₂²	1	1	yes	characteristic
34	C₁₃×#518	C₂²	1	1	yes	characteristic
35	#11719503	C₂²	1	1	yes	characteristic
36	C₂×#88170	C₂²	1	1	yes	characteristic
37	C₂×#88170	C₂²	1	1	yes	characteristic
38	C₂×#88166	C₂²	1	1	yes	characteristic
39	C₂×#88166	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
53	#11719329	—	2	1	no	—
54	#11719324	C₂²	1	1	yes	characteristic
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	#11719251	—	2	1	no	—
60	#11719251	—	2	1	no	—
61	#11719251	C₂²	1	1	yes	characteristic
62	#11719251	C₂²	1	1	yes	characteristic
63	#11719251	C₂²	1	1	yes	characteristic
64	#11719251	C₂²	1	1	yes	characteristic
65	C₄×#6129	—	2	1	no	—
66	C₄×#6129	—	2	1	no	—
67	C₄×#6129	C₂²	1	1	yes	characteristic
68	C₄×#6129	C₂²	1	1	yes	characteristic
69	C₄×#6129	C₂²	1	1	yes	characteristic
70	C₄×#6129	C₂²	1	1	yes	characteristic
71	C₄×#6129	C₂²	1	1	yes	characteristic, complemented
72	#11719239	C₂²	1	1	yes	characteristic
73	D₁₃×#117	C₂²	1	1	yes	characteristic
74	D₁₃×#117	C₂²	1	1	yes	characteristic
75	#11719221	C₂²	1	1	yes	characteristic
76	#11719221	C₂²	1	1	yes	characteristic
77	#11719191	—	2	1	no	—
78	#11719191	—	2	1	no	—
79	C₂×#88131	—	2	1	no	—
80	C₂×#88131	—	2	1	no	—
81	C₁₃×#485	C₂²	1	1	yes	characteristic
82	C₁₃×#482	C₂²	1	1	yes	characteristic
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
94	#11718879	C₂²	1	1	yes	characteristic
95	#11718878	C₂²	1	1	yes	characteristic
96	#11718834	C₂²	1	1	yes	characteristic
97	#11718834	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	#11718819	C₂²	1	1	yes	characteristic
103	#11718819	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	#11718755	C₂²	1	1	yes	characteristic, complemented
109	#11718752	C₂²	1	1	yes	characteristic, complemented
110	#11718715	C₂²	1	1	yes	characteristic, complemented
111	#11718715	C₂²	1	1	yes	characteristic, complemented
112	#11718711	C₂²	1	1	yes	characteristic
113	#11718706	C₂²	1	1	yes	characteristic
114	#11718701	C₂²	1	1	yes	characteristic
115	#11718696	C₂²	1	1	yes	characteristic
116	#11718691	C₂²	1	1	yes	characteristic, complemented
117	C₄×#6107	C₂²	1	1	yes	characteristic, complemented
118	#11718679	C₂²	1	1	yes	characteristic, complemented
119	#11718679	C₂²	1	1	yes	characteristic, complemented
120	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
121	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
122	#11718677	C₂²	1	1	yes	characteristic, complemented
123	#11718677	C₂²	1	1	yes	characteristic, complemented
124	#11718675	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
129	#11718661	C₂²	1	1	yes	characteristic
130	#11718657	C₂²	1	1	yes	characteristic
131	#11718550	C₂²	1	1	yes	characteristic, complemented
132	#11718545	C₂²	1	1	yes	characteristic, complemented
133	#11718543	C₂²	1	1	yes	characteristic, complemented
134	#11718541	C₂²	1	1	yes	characteristic, complemented
135	#11718541	C₂²	1	1	yes	characteristic, complemented
136	#11718538	C₂²	1	1	yes	characteristic, complemented
137	#11718538	C₂²	1	1	yes	characteristic, complemented
138	#11718534	C₂²	1	1	yes	characteristic, complemented
139	#11718524	C₂²	1	1	yes	characteristic, complemented
140	#11718523	C₂²	1	1	yes	characteristic, complemented
141	#11718521	C₂²	1	1	yes	characteristic, complemented
142	#11718521	C₂²	1	1	yes	characteristic, complemented
143	#11718518	C₂²	1	1	yes	characteristic, complemented
144	#11718518	C₂²	1	1	yes	characteristic, complemented
145	#11718514	C₂²	1	1	yes	characteristic, complemented
146	#11718513	C₂²	1	1	yes	characteristic, complemented
147	#11718512	C₂²	1	1	yes	characteristic, complemented
148	#11718511	C₂²	1	1	yes	characteristic, complemented
149	#11718506	C₂²	1	1	yes	characteristic, complemented
150	#11718506	C₂²	1	1	yes	characteristic, complemented
151	#11718501	C₂²	1	1	yes	characteristic, complemented
152	#11718501	C₂²	1	1	yes	characteristic, complemented
153	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
154	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#11718470	C₂²	1	1	yes	characteristic, complemented
156	#11718466	C₂²	1	1	yes	characteristic, complemented
157	#11718465	C₂²	1	1	yes	characteristic, complemented
158	#11718465	C₂²	1	1	yes	characteristic, complemented
159	#11718454	C₂²	1	1	yes	characteristic, complemented
160	#11718454	C₂²	1	1	yes	characteristic, complemented
161	#11718451	C₂²	1	1	yes	characteristic, complemented
162	#11718450	C₂²	1	1	yes	characteristic, complemented
163	#11718446	C₂²	1	1	yes	characteristic, complemented
164	#11718444	C₂²	1	1	yes	characteristic
165	#11718444	C₂²	1	1	yes	characteristic
166	#11718442	C₂²	1	1	yes	characteristic
167	#11718442	C₂²	1	1	yes	characteristic
168	#11718438	C₂²	1	1	yes	characteristic, complemented
169	#11718435	C₂²	1	1	yes	characteristic, complemented
170	#11718433	C₂²	1	1	yes	characteristic
171	#11718433	C₂²	1	1	yes	characteristic
172	#11718433	C₂²	1	1	yes	characteristic
173	#11718433	C₂²	1	1	yes	characteristic
174	#11718433	C₂²	1	1	yes	characteristic, complemented
175	#11718433	C₂²	1	1	yes	characteristic, complemented
176	#11718427	C₂²	1	1	yes	characteristic, complemented
177	#11718427	C₂²	1	1	yes	characteristic, complemented
178	#11718424	C₂²	1	1	yes	characteristic, complemented
179	#11718424	C₂²	1	1	yes	characteristic, complemented
180	#11718423	C₂²	1	1	yes	characteristic, complemented
181	#11718423	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	#11718400	C₂²	1	1	yes	characteristic
188	#11718399	C₂²	1	1	yes	characteristic
189	#11718398	C₂²	1	1	yes	characteristic
190	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
191	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	#11718384	C₂²	1	1	yes	characteristic
193	#11718381	C₂²	1	1	yes	characteristic
194	#11718381	C₂²	1	1	yes	characteristic
195	#11718377	C₂²	1	1	yes	characteristic, complemented
196	#11718371	C₂²	1	1	yes	characteristic, complemented
197	#11718370	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×#97	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₅₂	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×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
203	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₂²⋊D₁₃	—	2	1	no	—
205	C₂³×Dic₁₃	—	2	1	no	—
206	C₂×#6131	C₂³	1	1	yes	characteristic
207	C₂×#6129	—	2	4	no	—
208	C₂×#6129	—	2	4	no	—
209	C₂×#6129	—	2	1	no	—
210	C₂×#6129	—	2	1	no	—
211	C₂×#6129	C₂³	1	1	yes	characteristic
212	C₂×#6129	C₂³	1	1	yes	characteristic
213	C₂×#6129	C₂³	1	1	yes	characteristic
214	C₂×#6129	C₂³	1	1	yes	characteristic
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×#126	—	2	1	no	—
224	C₁₃×#124	—	2	1	no	—
225	C₁₃×#124	C₂³	1	1	yes	characteristic
226	C₁₃×#123	—	2	1	no	—
227	C₁₃×C₂²⋊Q₈	—	2	1	no	—
228	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	1	yes	characteristic
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₁₃×#117	C₂³	1	1	yes	characteristic
239	C₁₃×#117	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
241	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
242	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
243	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
244	#88201	—	2	1	no	—
245	#88200	—	2	1	no	—
246	#88200	—	2	1	no	—
247	#88200	C₂³	1	1	yes	characteristic
248	Q₈×Dic₁₃	—	2	1	no	—
249	Q₈×Dic₁₃	C₂³	1	1	yes	characteristic
250	#88198	C₂³	1	1	yes	characteristic
251	C₂×#6107	C₂³	1	1	yes	characteristic
252	C₂×#6107	C₂³	1	1	yes	characteristic
253	#88194	C₂³	1	1	yes	characteristic
254	#88193	—	2	1	no	—
255	#88192	—	2	1	no	—
256	#88192	C₂³	1	1	yes	characteristic
257	#88191	—	2	1	no	—
258	D₄×Dic₁₃	—	2	1	no	—
259	D₄×Dic₁₃	—	2	1	no	—
260	D₄×Dic₁₃	—	2	1	no	—
261	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
262	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
263	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
264	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
265	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
266	C₂×#6105	C₂³	1	1	yes	characteristic
267	C₂×#6105	C₂³	1	1	yes	characteristic
268	C₂×#6105	C₂³	1	1	yes	characteristic
269	C₂×#6105	C₂³	1	1	yes	characteristic
270	C₂×#6104	C₂³	1	1	yes	characteristic
271	C₂×#6104	C₂³	1	1	yes	characteristic
272	#88184	—	2	1	no	—
273	#88184	C₂³	1	1	yes	characteristic
274	#88183	—	2	1	no	—
275	C₄×C₂²⋊D₁₃	—	2	1	no	—
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	#88180	C₂³	1	1	yes	characteristic
285	#88180	C₂³	1	1	yes	characteristic
286	#88178	C₂³	1	1	yes	characteristic
287	C₂×#6101	—	2	1	no	—
288	C₂×#6101	—	2	1	no	—
289	C₂×#6101	—	2	1	no	—
290	C₂×#6101	—	2	1	no	—
291	C₂×C₄×Dic₁₃	—	2	1	no	—
292	C₂×C₄×Dic₁₃	—	2	1	no	—
293	C₂×C₄×Dic₁₃	—	2	1	no	—
294	C₂×C₄×Dic₁₃	—	2	1	no	—
295	C₂×C₄×Dic₁₃	—	2	1	no	—
296	#88170	—	2	4	no	—
297	#88170	—	2	4	no	—
298	#88166	—	2	4	no	—
299	#88166	—	2	4	no	—
300	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
301	C₂×Dic₅₂	C₂³	1	1	yes	characteristic
302	C₂×#6095	C₂³	1	1	yes	characteristic
303	C₂×#6095	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₁₃	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	C₂³	1	1	yes	characteristic
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	#88146	C₂³	1	1	yes	characteristic
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	#88144	—	2	1	no	—
332	#88144	C₂³	1	1	yes	characteristic
333	#88144	C₂³	1	1	yes	characteristic
334	#88143	—	2	1	no	—
335	#88143	—	2	1	no	—
336	#88141	—	2	1	no	—
337	#88141	—	2	1	no	—
338	#88141	—	2	1	no	—
339	#88141	C₂³	1	1	yes	characteristic
340	#88141	C₂³	1	1	yes	characteristic
341	#88141	C₂³	1	1	yes	characteristic
342	#88141	C₂³	1	1	yes	characteristic
343	#88141	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
371	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
372	#88133	—	2	1	no	—
373	#88133	—	2	1	no	—
374	#88133	—	2	1	no	—
375	#88132	—	2	1	no	—
376	#88131	—	2	1	no	—
377	#88131	—	2	1	no	—
378	#88131	—	2	1	no	—
379	#88131	—	2	1	no	—
380	#88131	—	2	1	no	—
381	#88131	—	2	1	no	—
382	#88131	—	2	1	no	—
383	#88131	—	2	1	no	—
384	#88131	—	2	1	no	—
385	#88131	—	2	1	no	—
386	#88131	—	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	#88130	—	2	1	no	—
393	#88129	C₂³	1	1	yes	characteristic
394	C₄×D₅₂	—	2	1	no	—
395	C₄×D₅₂	C₂³	1	1	yes	characteristic
396	#88126	—	2	1	no	—
397	#88126	C₂³	1	1	yes	characteristic
398	#88126	C₂³	1	1	yes	characteristic
399	C₄²×D₁₃	—	2	1	no	—
400	C₄²×D₁₃	—	2	1	no	—
401	C₄²×D₁₃	C₂³	1	1	yes	characteristic
402	C₄²×D₁₃	C₂³	1	1	yes	characteristic
403	#88124	—	2	1	no	—
404	#88123	C₂³	1	1	yes	characteristic
405	C₄×Dic₂₆	—	2	1	no	—
406	C₄×Dic₂₆	—	2	1	no	—
407	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
408	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
409	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
410	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
411	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
412	C₁₃×#107	C₂³	1	1	yes	characteristic
413	C₁₃×#107	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₁₃×#103	C₂³	1	1	yes	characteristic
419	C₁₃×#103	C₂³	1	1	yes	characteristic
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
425	C₁₃×#102	C₂³	1	1	yes	characteristic
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
429	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
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
437	#88072	C₂³	1	1	yes	characteristic
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	#88060	C₂³	1	1	yes	characteristic
443	#88060	C₂³	1	1	yes	characteristic
444	#88060	C₂³	1	1	yes	characteristic
445	#88060	C₂³	1	1	yes	characteristic
446	#88058	C₂³	1	1	yes	characteristic
447	#88058	C₂³	1	1	yes	characteristic
448	#88057	C₂³	1	1	yes	characteristic
449	#88057	C₂³	1	1	yes	characteristic
450	#88056	C₂³	1	1	yes	characteristic
451	#88056	C₂³	1	1	yes	characteristic
452	#88056	C₂³	1	1	yes	characteristic
453	#88056	C₂³	1	1	yes	characteristic
454	#88056	C₂³	1	1	yes	characteristic
455	#88056	C₂³	1	1	yes	characteristic
456	#88055	C₂³	1	1	yes	characteristic
457	#88055	C₂³	1	1	yes	characteristic
458	#88054	C₂³	1	1	yes	characteristic
459	#88054	C₂³	1	1	yes	characteristic
460	#88054	C₂³	1	1	yes	characteristic
461	#88054	C₂³	1	1	yes	characteristic
462	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
463	C₈×Dic₁₃	C₂³	1	1	yes	characteristic
464	#88050	C₂³	1	1	yes	characteristic
465	#88050	C₂³	1	1	yes	characteristic
466	#88050	C₂³	1	1	yes	characteristic
467	#88050	C₂³	1	1	yes	characteristic
468	#88050	C₂³	1	1	yes	characteristic
469	#88050	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
473	#88048	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88047	C₂³	1	1	yes	characteristic
477	#88047	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	C₄⋊#1055	C₂³	1	1	yes	characteristic
481	C₄⋊#1055	C₂³	1	1	yes	characteristic
482	#88043	C₂³	1	1	yes	characteristic
483	C₄×#1055	C₂³	1	1	yes	characteristic
484	#60557	—	13	1	no	maximal, Sylow
485	C₂⁴×C₁₃	—	2	1	no	—
486	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
487	C₂×Q₈×C₁₃	—	2	1	no	—
488	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
489	C₂×D₄×C₁₃	—	2	2	no	—
490	C₂×D₄×C₁₃	—	2	2	no	—
491	C₂×D₄×C₁₃	—	2	1	no	—
492	C₂×D₄×C₁₃	—	2	1	no	—
493	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
495	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄×C₁₃	—	2	1	no	—
497	C₂²×C₄×C₁₃	—	2	1	no	—
498	C₂²×C₄×C₁₃	—	2	1	no	—
499	C₂²×C₄×C₁₃	—	2	1	no	—
500	C₂²×C₄×C₁₃	—	2	1	no	—
501	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×C₂²⋊D₁₃	—	2	8	no	—
503	C₂×C₂²⋊D₁₃	—	2	1	no	—
504	C₂×C₂²⋊D₁₃	—	2	1	no	—
505	C₂×C₂²⋊D₁₃	—	2	1	no	—
506	C₂×C₂²⋊D₁₃	—	2	1	no	—
507	C₂×C₂²⋊D₁₃	—	2	1	no	—
508	C₂×C₂²⋊D₁₃	—	2	1	no	—
509	C₂×C₂²⋊D₁₃	—	2	1	no	—
510	C₂×C₂²⋊D₁₃	—	2	1	no	—
511	C₂×C₂²⋊D₁₃	—	2	1	no	—
512	C₂²×Dic₁₃	—	2	8	no	—
513	C₂²×Dic₁₃	—	2	1	no	—
514	C₂²×Dic₁₃	—	2	1	no	—
515	C₂²×Dic₁₃	—	2	1	no	—
516	C₂²×Dic₁₃	—	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	—	2	1	no	—
524	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
525	#6131	—	2	2	no	—
526	#6131	—	2	2	no	—
527	#6129	—	2	8	no	—
528	#6129	—	2	8	no	—
529	#6129	—	2	2	no	—
530	#6129	—	2	2	no	—
531	#6129	—	2	2	no	—
532	#6129	—	2	2	no	—
533	#6129	—	2	2	no	—
534	#6129	—	2	2	no	—
535	#6129	—	2	2	no	—
536	#6129	—	2	2	no	—
537	#6129	#41	1	4	yes	—
538	#6129	#41	1	4	yes	—
539	C₂×D₅₂	—	2	1	no	—
540	C₂×D₅₂	—	2	1	no	—
541	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
542	C₂×C₄×D₁₃	—	2	2	no	—
543	C₂×C₄×D₁₃	—	2	2	no	—
544	C₂×C₄×D₁₃	—	2	1	no	—
545	C₂×C₄×D₁₃	—	2	1	no	—
546	C₂×C₄×D₁₃	—	2	1	no	—
547	C₂×C₄×D₁₃	—	2	1	no	—
548	C₂×C₄×D₁₃	—	2	1	no	—
549	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
557	C₂×Dic₂₆	—	2	1	no	—
558	C₂×Dic₂₆	—	2	2	no	—
559	C₂×Dic₂₆	—	2	2	no	—
560	C₂×Dic₂₆	—	2	1	no	—
561	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
562	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
563	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
564	C₁₃×SD₁₆	—	2	2	no	—
565	C₁₃×SD₁₆	—	2	2	no	—
566	C₁₃×D₈	—	2	2	no	—
567	C₁₃×D₈	—	2	2	no	—
568	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
572	C₁₃×C₄⋊C₄	—	2	1	no	—
573	C₁₃×C₄⋊C₄	—	2	1	no	—
574	C₁₃×C₄⋊C₄	—	2	1	no	—
575	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
578	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₁₃×C₂²⋊C₄	—	2	1	no	—
582	C₁₃×C₂²⋊C₄	—	2	1	no	—
583	C₁₃×C₂²⋊C₄	—	2	1	no	—
584	C₁₃×C₂²⋊C₄	—	2	1	no	—
585	C₁₃×C₂²⋊C₄	—	2	1	no	—
586	C₁₃×C₂²⋊C₄	—	2	1	no	—
587	C₁₃×C₂²⋊C₄	—	2	1	no	—
588	C₁₃×C₂²⋊C₄	—	2	1	no	—
589	C₁₃×C₂²⋊C₄	—	2	1	no	—
590	C₁₃×C₂²⋊C₄	—	2	1	no	—
591	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₄²×C₁₃	—	2	1	no	—
594	C₄²×C₁₃	—	2	1	no	—
595	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
597	C₂²⋊Dic₁₃	—	2	1	no	—
598	C₂²⋊Dic₁₃	—	2	1	no	—
599	C₂²⋊Dic₁₃	—	2	1	no	—
600	C₂²⋊Dic₁₃	—	2	1	no	—
601	C₂²⋊Dic₁₃	—	2	1	no	—
602	C₂²⋊Dic₁₃	—	2	1	no	—
603	C₂²⋊Dic₁₃	—	2	1	no	—
604	C₂²⋊Dic₁₃	—	2	1	no	—
605	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
606	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
607	#6107	—	2	2	no	—
608	#6107	—	2	2	no	—
609	#6105	—	2	2	no	—
610	#6105	—	2	2	no	—
611	#6105	—	2	2	no	—
612	#6105	—	2	2	no	—
613	#6104	—	2	2	no	—
614	#6104	—	2	2	no	—
615	#6103	—	2	1	no	—
616	#6103	—	2	1	no	—
617	#6103	—	2	1	no	—
618	#6103	—	2	1	no	—
619	#6103	—	2	1	no	—
620	#6103	—	2	1	no	—
621	#6103	—	2	1	no	—
622	#6103	—	2	1	no	—
623	#6103	—	2	1	no	—
624	#6103	—	2	1	no	—
625	#6103	—	2	1	no	—
626	#6103	—	2	1	no	—
627	#6103	C₂×D₄	1	1	yes	characteristic
628	#6103	C₂×D₄	1	1	yes	characteristic
629	#6103	C₂×D₄	1	1	yes	characteristic
630	#6103	C₂×D₄	1	1	yes	characteristic
631	C₄⋊Dic₁₃	—	2	1	no	—
632	C₄⋊Dic₁₃	—	2	1	no	—
633	C₄⋊Dic₁₃	—	2	1	no	—
634	C₄⋊Dic₁₃	—	2	1	no	—
635	C₄⋊Dic₁₃	—	2	1	no	—
636	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
637	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
638	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
641	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
642	#6101	—	2	1	no	—
643	#6101	—	2	1	no	—
644	#6101	—	2	1	no	—
645	#6101	—	2	1	no	—
646	#6101	—	2	1	no	—
647	#6101	—	2	1	no	—
648	#6101	—	2	1	no	—
649	#6101	—	2	1	no	—
650	#6101	—	2	1	no	—
651	#6101	—	2	1	no	—
652	#6101	—	2	1	no	—
653	#6101	—	2	1	no	—
654	#6101	—	2	1	no	—
655	#6101	—	2	1	no	—
656	#6101	—	2	1	no	—
657	#6101	—	2	1	no	—
658	#6101	—	2	1	no	—
659	#6101	—	2	1	no	—
660	#6101	C₂×D₄	1	1	yes	characteristic
661	#6101	C₂×D₄	1	1	yes	characteristic
662	#6101	C₂×D₄	1	1	yes	characteristic
663	#6101	C₂×D₄	1	1	yes	characteristic
664	C₄×Dic₁₃	—	2	1	no	—
665	C₄×Dic₁₃	—	2	1	no	—
666	C₄×Dic₁₃	—	2	1	no	—
667	C₄×Dic₁₃	—	2	1	no	—
668	C₄×Dic₁₃	—	2	1	no	—
669	C₄×Dic₁₃	—	2	1	no	—
670	C₄×Dic₁₃	—	2	1	no	—
671	C₄×Dic₁₃	—	2	1	no	—
672	C₄×Dic₁₃	—	2	1	no	—
673	C₄×Dic₁₃	—	2	1	no	—
674	C₄×Dic₁₃	—	2	1	no	—
675	C₄×Dic₁₃	—	2	1	no	—
676	C₄×Dic₁₃	—	2	1	no	—
677	C₄×Dic₁₃	—	2	1	no	—
678	C₄×Dic₁₃	—	2	1	no	—
679	C₄×Dic₁₃	—	2	1	no	—
680	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
685	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
686	C₂×#1055	C₂⁴	1	1	yes	characteristic
687	C₂×#1055	C₂⁴	1	1	yes	characteristic
688	C₂×#1055	C₂⁴	1	1	yes	characteristic
689	C₂×#1055	C₂⁴	1	1	yes	characteristic
690	Dic₅₂	—	2	2	no	—
691	Dic₅₂	—	2	2	no	—
692	#6095	—	2	2	no	—
693	#6095	—	2	2	no	—
694	C₈×D₁₃	—	2	2	no	—
695	C₈×D₁₃	—	2	2	no	—
696	C₈×D₁₃	—	2	2	no	—
697	C₈×D₁₃	—	2	2	no	—
698	#3455	—	13	1	no	—
699	#3428	—	13	1	no	—
700	#3127	—	13	1	no	—
701	#3126	—	13	1	no	—
702	#3125	—	13	1	no	—
703	#3125	—	13	1	no	—
704	#3124	—	13	1	no	—
705	#3124	—	13	1	no	—
706	#3123	—	13	1	no	—
707	#3122	—	13	1	no	—
708	#3121	—	13	1	no	—
709	#3121	—	13	1	no	—
710	#3120	—	13	1	no	—
711	#3120	—	13	1	no	—
712	#3119	—	13	1	no	—
713	#3119	—	13	1	no	—
714	#3118	—	13	1	no	—
715	#3118	D₁₃	1	1	yes	characteristic, complemented
716	#3091	—	13	1	no	—
717	#3091	—	13	1	no	—
718	#3076	—	13	1	no	—
719	#3076	—	13	1	no	—
720	#3035	—	13	1	no	—
721	#3035	—	13	1	no	—
722	#3002	—	13	1	no	—
723	#3002	—	13	1	no	—
724	#2943	—	13	1	no	—
725	#2943	—	13	1	no	—
726	C₄×#135	—	13	1	no	—
727	C₄×#135	—	13	1	no	—
728	C₂×#433	—	13	1	no	—
729	C₂³×C₁₃	—	2	4	no	—
730	C₂³×C₁₃	—	2	1	no	—
731	C₂³×C₁₃	—	2	1	no	—
732	C₂³×C₁₃	—	2	1	no	—
733	C₂³×C₁₃	—	8	1	no	—
734	C₂³×C₁₃	—	8	1	no	—
735	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
736	C₂²×D₁₃	—	2	2	no	—
737	C₂²×D₁₃	—	2	1	no	—
738	C₂²×D₁₃	—	4	1	no	—
739	C₂²×D₁₃	—	4	1	no	—
740	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
741	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
742	Q₈×C₁₃	—	2	1	no	—
743	Q₈×C₁₃	—	2	1	no	—
744	Q₈×C₁₃	—	8	1	no	—
745	D₄×C₁₃	—	2	4	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	2	1	no	—
748	D₄×C₁₃	—	2	1	no	—
749	D₄×C₁₃	—	2	1	no	—
750	D₄×C₁₃	—	8	1	no	—
751	D₄×C₁₃	C₂×#41	1	2	yes	—
752	D₄×C₁₃	C₂×#41	1	2	yes	—
753	C₂×C₄×C₁₃	—	2	1	no	—
754	C₂×C₄×C₁₃	—	2	1	no	—
755	C₂×C₄×C₁₃	—	2	1	no	—
756	C₂×C₄×C₁₃	—	2	1	no	—
757	C₂×C₄×C₁₃	—	2	1	no	—
758	C₂×C₄×C₁₃	—	2	1	no	—
759	C₂×C₄×C₁₃	—	2	1	no	—
760	C₂×C₄×C₁₃	—	8	1	no	—
761	C₂×C₄×C₁₃	—	8	1	no	—
762	C₂×C₄×C₁₃	—	8	1	no	—
763	C₂×C₄×C₁₃	—	8	1	no	—
764	C₂×C₄×C₁₃	—	8	1	no	—
765	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
766	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
768	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
769	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
771	C₂²⋊D₁₃	—	2	4	no	—
772	C₂²⋊D₁₃	—	2	4	no	—
773	C₂²⋊D₁₃	—	2	4	no	—
774	C₂²⋊D₁₃	—	2	4	no	—
775	C₂²⋊D₁₃	—	4	2	no	—
776	C₂²⋊D₁₃	—	8	1	no	—
777	C₂²⋊D₁₃	—	8	1	no	—
778	C₂²⋊D₁₃	—	8	1	no	—
779	C₂²⋊D₁₃	—	8	1	no	—
780	C₂×Dic₁₃	—	2	4	no	—
781	C₂×Dic₁₃	—	2	4	no	—
782	C₂×Dic₁₃	—	2	4	no	—
783	C₂×Dic₁₃	—	2	1	no	—
784	C₂×Dic₁₃	—	2	1	no	—
785	C₂×Dic₁₃	—	2	2	no	—
786	C₂×Dic₁₃	—	2	4	no	—
787	C₂×Dic₁₃	—	2	4	no	—
788	C₂×Dic₁₃	—	2	1	no	—
789	C₂×Dic₁₃	—	2	1	no	—
790	C₂×Dic₁₃	—	2	1	no	—
791	C₂×Dic₁₃	—	2	1	no	—
792	C₂×Dic₁₃	—	2	1	no	—
793	C₂×Dic₁₃	—	4	2	no	—
794	C₂×Dic₁₃	—	8	1	no	—
795	C₂×Dic₁₃	—	8	1	no	—
796	C₂×Dic₁₃	—	8	1	no	—
797	C₂×Dic₁₃	—	8	1	no	—
798	C₂×Dic₁₃	—	8	1	no	—
799	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
802	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
803	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
804	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
805	D₅₂	—	2	1	no	—
806	D₅₂	—	2	1	no	—
807	D₅₂	—	4	2	no	—
808	D₅₂	—	8	1	no	—
809	C₄×D₁₃	—	2	2	no	—
810	C₄×D₁₃	—	2	1	no	—
811	C₄×D₁₃	—	2	1	no	—
812	C₄×D₁₃	—	2	2	no	—
813	C₄×D₁₃	—	4	1	no	—
814	C₄×D₁₃	—	4	1	no	—
815	C₄×D₁₃	—	4	1	no	—
816	C₄×D₁₃	—	4	1	no	—
817	C₄×D₁₃	—	4	2	no	—
818	C₄×D₁₃	—	8	1	no	—
819	C₄×D₁₃	—	8	1	no	—
820	C₄×D₁₃	—	8	1	no	—
821	C₄×D₁₃	—	8	1	no	—
822	C₄×D₁₃	C₂×#41	1	2	yes	—
823	C₄×D₁₃	C₂×#41	1	2	yes	—
824	Dic₂₆	—	2	4	no	—
825	Dic₂₆	—	2	1	no	—
826	Dic₂₆	—	2	1	no	—
827	Dic₂₆	—	2	1	no	—
828	Dic₂₆	—	2	1	no	—
829	Dic₂₆	—	8	1	no	—
830	Dic₂₆	C₂×#41	1	2	yes	—
831	Dic₂₆	C₂×#41	1	2	yes	—
832	C₈×C₁₃	—	2	1	no	—
833	C₈×C₁₃	—	2	1	no	—
834	C₈×C₁₃	—	2	1	no	—
835	C₈×C₁₃	—	2	1	no	—
836	#1055	—	2	1	no	—
837	#1055	—	2	1	no	—
838	#1055	—	2	1	no	—
839	#1055	—	2	1	no	—
840	C₂²×#41	—	13	1	no	—
841	C₂×#135	—	13	1	no	—
842	C₂×#135	—	13	1	no	—
843	C₂×#135	—	13	1	no	—
844	C₂×#135	—	13	1	no	—
845	#542	—	13	1	no	—
846	#542	—	13	1	no	—
847	#542	—	13	1	no	—
848	#542	C₂×D₁₃	1	1	yes	characteristic
849	#541	—	13	1	no	—
850	#541	—	13	1	no	—
851	#540	—	13	1	no	—
852	#540	—	13	1	no	—
853	#539	—	26	1	no	—
854	#539	—	26	1	no	—
855	#538	—	26	1	no	—
856	#538	—	26	1	no	—
857	#533	—	13	1	no	—
858	#532	—	13	1	no	—
859	#529	—	26	1	no	—
860	#529	—	26	1	no	—
861	#529	—	26	1	no	—
862	#529	—	26	1	no	—
863	#525	—	13	1	no	—
864	#525	—	13	1	no	—
865	#520	—	13	1	no	—
866	#520	—	13	1	no	—
867	#520	—	13	1	no	—
868	#520	—	13	1	no	—
869	#520	—	26	1	no	—
870	#520	—	26	1	no	—
871	#519	—	13	1	no	—
872	#519	—	13	1	no	—
873	#518	—	13	1	no	—
874	#518	—	26	1	no	—
875	#518	—	26	1	no	—
876	#518	C₂×D₁₃	1	1	yes	characteristic
877	C₄×#41	—	13	1	no	—
878	C₄×#41	—	13	1	no	—
879	C₄×#41	—	13	1	no	—
880	C₄×#41	—	13	1	no	—
881	C₄×#41	—	13	1	no	—
882	C₄×#41	—	13	1	no	—
883	C₄×#41	—	26	1	no	—
884	C₄×#41	—	26	1	no	—
885	C₂×#117	—	13	1	no	—
886	C₂×#117	—	13	1	no	—
887	C₂×#117	—	26	1	no	—
888	C₂×#117	—	26	1	no	—
889	#485	—	13	1	no	—
890	#485	—	13	1	no	—
891	#485	—	13	1	no	—
892	#485	C₂×D₁₃	1	1	yes	characteristic
893	#484	—	13	1	no	—
894	#484	—	13	1	no	—
895	#483	—	13	1	no	—
896	#483	—	13	1	no	—
897	#482	—	13	1	no	—
898	#482	—	13	1	no	—
899	#482	—	13	1	no	—
900	#482	C₂×D₁₃	1	1	yes	characteristic
901	#481	—	13	1	no	—
902	#481	—	13	1	no	—
903	#480	—	13	1	no	—
904	#480	—	13	1	no	—
905	#479	—	13	1	no	—
906	#479	—	13	1	no	—
907	#479	—	13	1	no	—
908	#479	—	13	1	no	—
909	#478	—	13	1	no	—
910	#478	—	13	1	no	—
911	#478	—	13	1	no	—
912	#478	—	13	1	no	—
913	#477	—	13	1	no	—
914	#477	—	13	1	no	—
915	#476	—	13	1	no	—
916	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
917	#475	—	13	1	no	—
918	#475	—	13	1	no	—
919	#474	—	13	1	no	—
920	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
921	#464	—	13	1	no	—
922	#464	—	13	1	no	—
923	#464	—	13	1	no	—
924	#464	—	13	1	no	—
925	#463	—	13	1	no	—
926	#463	—	13	1	no	—
927	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
928	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
929	#462	—	13	1	no	—
930	#462	—	13	1	no	—
931	#461	—	13	1	no	—
932	#461	—	13	1	no	—
933	#460	—	13	1	no	—
934	#460	—	13	1	no	—
935	#459	—	13	1	no	—
936	#459	—	13	1	no	—
937	#452	—	13	1	no	—
938	#452	—	13	1	no	—
939	#452	—	13	1	no	—
940	#452	—	13	1	no	—
941	#451	—	13	1	no	—
942	#451	—	13	1	no	—
943	#450	—	13	1	no	—
944	#450	C₂×D₁₃	1	1	yes	characteristic
945	#449	—	13	1	no	—
946	#449	—	13	1	no	—
947	#449	—	13	1	no	—
948	#449	—	13	1	no	—
949	#448	—	13	1	no	—
950	#448	—	13	1	no	—
951	#447	—	13	1	no	—
952	#447	C₂×D₁₃	1	1	yes	characteristic
953	#442	—	13	1	no	—
954	#442	—	13	1	no	—
955	#442	—	13	1	no	—
956	#442	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#441	—	13	1	no	—
958	#441	—	13	1	no	—
959	#441	—	13	1	no	—
960	#441	—	13	1	no	—
961	#440	—	13	1	no	—
962	#440	—	13	1	no	—
963	#440	—	13	1	no	—
964	#440	—	13	1	no	—
965	#440	—	13	1	no	—
966	#440	—	13	1	no	—
967	#440	—	13	1	no	—
968	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
969	C₄×Q₁₆	—	13	1	no	—
970	C₄×Q₁₆	—	13	1	no	—
971	C₄×Q₁₆	—	13	1	no	—
972	C₄×Q₁₆	—	13	1	no	—
973	C₄×SD₁₆	—	13	1	no	—
974	C₄×SD₁₆	—	13	1	no	—
975	C₄×SD₁₆	—	13	1	no	—
976	C₄×SD₁₆	—	13	1	no	—
977	C₄×SD₁₆	—	13	1	no	—
978	C₄×SD₁₆	—	13	1	no	—
979	C₄×SD₁₆	—	13	1	no	—
980	C₄×SD₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
981	C₄×D₈	—	13	1	no	—
982	C₄×D₈	—	13	1	no	—
983	C₄×D₈	—	13	1	no	—
984	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
985	#433	—	13	1	no	—
986	#433	—	13	1	no	—
987	#433	—	13	1	no	—
988	#433	—	13	1	no	—
989	#433	—	13	1	no	—
990	#433	—	13	1	no	—
991	#433	—	13	1	no	—
992	#433	C₂×D₁₃	1	1	yes	characteristic
993	#427	—	13	1	no	—
994	#427	—	13	1	no	—
995	#427	—	13	1	no	—
996	#427	—	13	1	no	—
997	C₂×C₄⋊C₈	—	13	1	no	—
998	C₂×C₄⋊C₈	—	13	1	no	—
999	#416	—	13	1	no	—
1000	#416	—	13	1	no	—
1001	#416	—	13	1	no	—
1002	#416	—	13	1	no	—
1003	#416	—	13	1	no	—
1004	#416	—	13	1	no	—
1005	#416	—	13	1	no	—
1006	#416	—	13	1	no	—
1007	C₂×C₂²⋊C₈	—	13	1	no	—
1008	C₂×C₂²⋊C₈	—	13	1	no	—
1009	C₂×#97	—	13	1	no	—
1010	C₂×C₄×C₈	—	13	1	no	—
1011	C₂²×C₁₃	—	2	1	no	—
1012	C₂²×C₁₃	—	2	1	no	—
1013	C₂²×C₁₃	—	2	1	no	—
1014	C₂²×C₁₃	—	2	2	no	—
1015	C₂²×C₁₃	—	2	2	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	—	4	1	no	—
1018	C₂²×C₁₃	—	4	1	no	—
1019	C₂²×C₁₃	—	4	1	no	—
1020	C₂²×C₁₃	—	4	1	no	—
1021	C₂²×C₁₃	—	4	1	no	—
1022	C₂²×C₁₃	—	4	1	no	—
1023	C₂²×C₁₃	—	8	4	no	—
1024	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1025	C₂×D₁₃	—	2	1	no	—
1026	C₂×D₁₃	—	2	1	no	—
1027	C₂×D₁₃	—	2	1	no	—
1028	C₂×D₁₃	—	2	1	no	—
1029	C₂×D₁₃	—	2	1	no	—
1030	C₂×D₁₃	—	4	1	no	—
1031	C₂×D₁₃	—	4	1	no	—
1032	C₂×D₁₃	—	4	1	no	—
1033	C₂×D₁₃	—	8	2	no	—
1034	C₂×D₁₃	#525	1	2	yes	—
1035	C₄×C₁₃	—	2	1	no	—
1036	C₄×C₁₃	—	2	1	no	—
1037	C₄×C₁₃	—	2	1	no	—
1038	C₄×C₁₃	—	2	1	no	—
1039	C₄×C₁₃	—	2	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	4	1	no	—
1045	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1046	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1047	Dic₁₃	—	2	1	no	—
1048	Dic₁₃	—	2	1	no	—
1049	Dic₁₃	—	2	1	no	—
1050	Dic₁₃	—	2	1	no	—
1051	Dic₁₃	—	2	2	no	—
1052	Dic₁₃	—	2	2	no	—
1053	Dic₁₃	—	2	1	no	—
1054	Dic₁₃	—	4	1	no	—
1055	Dic₁₃	—	4	1	no	—
1056	Dic₁₃	—	4	1	no	—
1057	Dic₁₃	—	4	1	no	—
1058	Dic₁₃	—	4	1	no	—
1059	Dic₁₃	#525	1	2	yes	—
1060	C₂×#41	—	13	1	no	—
1061	C₂×#41	—	13	1	no	—
1062	C₂×#41	—	13	1	no	—
1063	C₂×#41	—	13	1	no	—
1064	C₂×#41	—	13	1	no	—
1065	C₂×#41	—	13	1	no	—
1066	C₂×#41	—	26	1	no	—
1067	C₂×#41	—	26	1	no	—
1068	C₂×#41	—	26	4	no	—
1069	C₂×#41	—	26	4	no	—
1070	C₂²×Q₈	—	13	1	no	—
1071	C₂²×D₄	—	26	1	no	—
1072	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1073	C₂³×C₄	—	13	1	no	—
1074	C₂³×C₄	—	26	1	no	—
1075	#135	—	26	4	no	—
1076	#135	—	26	4	no	—
1077	#135	—	26	4	no	—
1078	#135	—	26	4	no	—
1079	C₂×Q₁₆	—	13	1	no	—
1080	C₂×Q₁₆	—	13	1	no	—
1081	C₂×Q₁₆	—	13	1	no	—
1082	C₂×Q₁₆	—	13	1	no	—
1083	C₂×SD₁₆	—	13	1	no	—
1084	C₂×SD₁₆	—	13	1	no	—
1085	C₂×SD₁₆	—	13	1	no	—
1086	C₂×SD₁₆	—	13	1	no	—
1087	C₂×SD₁₆	—	13	1	no	—
1088	C₂×SD₁₆	—	13	1	no	—
1089	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1090	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1091	C₂×D₈	—	13	1	no	—
1092	C₂×D₈	—	13	1	no	—
1093	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1094	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1095	C₂²×C₈	—	13	1	no	—
1096	C₂²×C₈	—	13	1	no	—
1097	C₂²×C₈	—	13	1	no	—
1098	C₂²×C₈	—	13	1	no	—
1099	C₄⋊Q₈	—	13	1	no	—
1100	C₄⋊Q₈	—	13	1	no	—
1101	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1102	#127	—	13	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	26	1	no	—
1105	#126	—	26	1	no	—
1106	#126	—	26	1	no	—
1107	#126	—	26	1	no	—
1108	#126	—	26	1	no	—
1109	#126	—	26	1	no	—
1110	#126	—	26	1	no	—
1111	#125	—	13	1	no	—
1112	#125	—	13	1	no	—
1113	#125	—	26	1	no	—
1114	#125	—	26	1	no	—
1115	#125	—	26	1	no	—
1116	#125	—	26	1	no	—
1117	#124	—	2	1	no	—
1118	#124	—	13	1	no	—
1119	#124	—	26	1	no	—
1120	#124	—	26	1	no	—
1121	#124	—	26	1	no	—
1122	#124	C₂²×D₁₃	1	1	yes	characteristic
1123	#123	—	2	1	no	—
1124	#123	—	26	1	no	—
1125	#123	—	26	1	no	—
1126	#123	—	26	1	no	—
1127	#123	—	26	1	no	—
1128	#123	—	26	1	no	—
1129	#123	—	26	1	no	—
1130	#123	—	26	1	no	—
1131	#123	—	26	1	no	—
1132	#123	—	26	1	no	—
1133	C₂²⋊Q₈	—	2	1	no	—
1134	C₂²⋊Q₈	—	13	1	no	—
1135	C₂²⋊Q₈	—	13	1	no	—
1136	C₂²⋊Q₈	—	13	1	no	—
1137	C₂²⋊Q₈	—	26	1	no	—
1138	C₂²⋊Q₈	—	26	1	no	—
1139	C₂²⋊Q₈	—	26	1	no	—
1140	C₂²⋊Q₈	—	26	1	no	—
1141	C₂²⋊Q₈	—	26	1	no	—
1142	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1143	#121	—	13	1	no	—
1144	#121	—	13	1	no	—
1145	#121	—	13	1	no	—
1146	#121	—	26	1	no	—
1147	#121	—	26	1	no	—
1148	#121	—	26	1	no	—
1149	#121	—	26	1	no	—
1150	#121	—	26	1	no	—
1151	#121	—	26	1	no	—
1152	#121	C₂²×D₁₃	1	1	yes	characteristic
1153	#120	—	26	1	no	—
1154	#120	—	26	1	no	—
1155	C₄×Q₈	—	13	1	no	—
1156	C₄×Q₈	—	13	1	no	—
1157	C₄×Q₈	—	13	1	no	—
1158	C₄×Q₈	—	13	1	no	—
1159	C₄×Q₈	—	13	1	no	—
1160	C₄×Q₈	—	13	1	no	—
1161	C₄×Q₈	—	13	1	no	—
1162	C₄×Q₈	—	13	1	no	—
1163	C₄×Q₈	—	13	1	no	—
1164	C₄×Q₈	—	13	1	no	—
1165	C₄×Q₈	—	13	1	no	—
1166	C₄×Q₈	—	26	1	no	—
1167	C₄×Q₈	—	26	1	no	—
1168	C₄×Q₈	—	26	1	no	—
1169	C₄×Q₈	—	26	1	no	—
1170	C₄×Q₈	—	26	1	no	—
1171	C₄×Q₈	—	26	1	no	—
1172	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1173	C₄×D₄	—	2	1	no	—
1174	C₄×D₄	—	2	1	no	—
1175	C₄×D₄	—	13	1	no	—
1176	C₄×D₄	—	13	1	no	—
1177	C₄×D₄	—	13	1	no	—
1178	C₄×D₄	—	13	1	no	—
1179	C₄×D₄	—	13	1	no	—
1180	C₄×D₄	—	13	1	no	—
1181	C₄×D₄	—	13	1	no	—
1182	C₄×D₄	—	26	1	no	—
1183	C₄×D₄	—	26	1	no	—
1184	C₄×D₄	—	26	1	no	—
1185	C₄×D₄	—	26	1	no	—
1186	C₄×D₄	—	26	1	no	—
1187	C₄×D₄	—	26	1	no	—
1188	C₄×D₄	—	26	1	no	—
1189	C₄×D₄	—	26	1	no	—
1190	C₄×D₄	—	26	1	no	—
1191	C₄×D₄	—	26	1	no	—
1192	C₄×D₄	—	26	1	no	—
1193	C₄×D₄	—	26	1	no	—
1194	C₄×D₄	—	26	1	no	—
1195	C₄×D₄	—	26	1	no	—
1196	C₄×D₄	—	26	1	no	—
1197	C₄×D₄	—	26	1	no	—
1198	C₄×D₄	—	26	1	no	—
1199	C₄×D₄	—	26	1	no	—
1200	C₄×D₄	—	26	1	no	—
1201	C₄×D₄	—	26	1	no	—
1202	C₄×D₄	—	26	1	no	—
1203	C₄×D₄	—	26	1	no	—
1204	C₄×D₄	—	26	1	no	—
1205	C₄×D₄	—	26	1	no	—
1206	C₄×D₄	—	26	1	no	—
1207	C₄×D₄	—	26	1	no	—
1208	C₄×D₄	—	26	1	no	—
1209	C₄×D₄	—	26	1	no	—
1210	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1211	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1212	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1213	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1214	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1215	#117	—	13	1	no	—
1216	#117	—	13	1	no	—
1217	#117	—	13	1	no	—
1218	#117	—	13	1	no	—
1219	#117	—	13	1	no	—
1220	#117	—	13	1	no	—
1221	#117	—	13	1	no	—
1222	#117	—	13	1	no	—
1223	#117	—	13	1	no	—
1224	#117	—	13	1	no	—
1225	#117	—	13	1	no	—
1226	#117	—	13	1	no	—
1227	#117	—	26	1	no	—
1228	#117	—	26	1	no	—
1229	#117	—	26	1	no	—
1230	#117	—	26	1	no	—
1231	#117	—	26	1	no	—
1232	#117	—	26	1	no	—
1233	#117	—	26	1	no	—
1234	#117	—	26	1	no	—
1235	#117	—	26	1	no	—
1236	#117	—	26	1	no	—
1237	#117	—	26	1	no	—
1238	#117	—	26	1	no	—
1239	#117	—	26	1	no	—
1240	#117	—	26	1	no	—
1241	#117	—	26	1	no	—
1242	#117	—	26	1	no	—
1243	#117	C₂²×D₁₃	1	1	yes	characteristic
1244	#117	C₂²×D₁₃	1	1	yes	characteristic
1245	C₂×C₄⋊C₄	—	13	1	no	—
1246	C₂×C₄⋊C₄	—	13	1	no	—
1247	C₂×C₄⋊C₄	—	13	1	no	—
1248	C₂×C₄⋊C₄	—	13	1	no	—
1249	C₂×C₄⋊C₄	—	26	1	no	—
1250	C₂×C₄⋊C₄	—	26	1	no	—
1251	C₂×C₄⋊C₄	—	26	1	no	—
1252	C₂×C₄⋊C₄	—	26	1	no	—
1253	C₂×C₂²⋊C₄	—	2	1	no	—
1254	C₂×C₂²⋊C₄	—	2	1	no	—
1255	C₂×C₂²⋊C₄	—	13	1	no	—
1256	C₂×C₂²⋊C₄	—	13	1	no	—
1257	C₂×C₂²⋊C₄	—	26	1	no	—
1258	C₂×C₂²⋊C₄	—	26	1	no	—
1259	C₂×C₂²⋊C₄	—	26	1	no	—
1260	C₂×C₄²	—	13	1	no	—
1261	C₂×C₄²	—	13	1	no	—
1262	C₂×C₄²	—	26	1	no	—
1263	C₂×C₄²	—	26	1	no	—
1264	C₂×C₄²	—	26	1	no	—
1265	C₂×C₄²	—	26	1	no	—
1266	C₂×C₄²	—	26	1	no	—
1267	C₂×C₄²	—	26	1	no	—
1268	C₂×C₄²	—	26	1	no	—
1269	#107	—	13	1	no	—
1270	#107	—	13	1	no	—
1271	#107	—	13	1	no	—
1272	#107	—	13	1	no	—
1273	#107	—	13	1	no	—
1274	#107	—	13	1	no	—
1275	#107	C₂²×D₁₃	1	1	yes	characteristic
1276	#107	C₂²×D₁₃	1	1	yes	characteristic
1277	#106	—	13	1	no	—
1278	#106	—	13	1	no	—
1279	#106	—	13	1	no	—
1280	#106	—	13	1	no	—
1281	#106	—	13	1	no	—
1282	#106	—	13	1	no	—
1283	#106	C₂²×D₁₃	1	1	yes	characteristic
1284	#106	C₂²×D₁₃	1	1	yes	characteristic
1285	C₄⋊C₈	—	13	1	no	—
1286	C₄⋊C₈	—	13	1	no	—
1287	C₄⋊C₈	—	13	1	no	—
1288	C₄⋊C₈	—	13	1	no	—
1289	C₄⋊C₈	—	13	1	no	—
1290	C₄⋊C₈	—	13	1	no	—
1291	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1292	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1293	#103	—	13	1	no	—
1294	#103	—	13	1	no	—
1295	#103	—	13	1	no	—
1296	#103	—	13	1	no	—
1297	#103	—	13	1	no	—
1298	#103	—	13	1	no	—
1299	#103	—	13	1	no	—
1300	#103	—	13	1	no	—
1301	#103	—	13	1	no	—
1302	#103	—	13	1	no	—
1303	#103	—	13	1	no	—
1304	#103	—	13	1	no	—
1305	#103	—	13	1	no	—
1306	#103	—	13	1	no	—
1307	#103	C₂²×D₁₃	1	1	yes	characteristic
1308	#103	C₂²×D₁₃	1	1	yes	characteristic
1309	#102	—	13	1	no	—
1310	#102	—	13	1	no	—
1311	#102	—	13	1	no	—
1312	#102	—	13	1	no	—
1313	#102	—	13	1	no	—
1314	#102	—	13	1	no	—
1315	#102	—	13	1	no	—
1316	#102	—	13	1	no	—
1317	#102	—	13	1	no	—
1318	#102	—	13	1	no	—
1319	#102	C₂²×D₁₃	1	1	yes	characteristic
1320	#102	C₂²×D₁₃	1	1	yes	characteristic
1321	#102	C₂²×D₁₃	1	1	yes	characteristic
1322	#102	C₂²×D₁₃	1	1	yes	characteristic
1323	#102	C₂²×D₁₃	1	1	yes	characteristic
1324	#102	C₂²×D₁₃	1	1	yes	characteristic
1325	C₂²⋊C₈	—	13	1	no	—
1326	C₂²⋊C₈	—	13	1	no	—
1327	C₂²⋊C₈	—	13	1	no	—
1328	C₂²⋊C₈	—	13	1	no	—
1329	C₂²⋊C₈	—	13	1	no	—
1330	C₂²⋊C₈	—	13	1	no	—
1331	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1332	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1333	#97	—	13	1	no	—
1334	#97	—	13	1	no	—
1335	#97	—	13	1	no	—
1336	#97	C₂²×D₁₃	1	1	yes	characteristic
1337	C₄×C₈	—	13	1	no	—
1338	C₄×C₈	—	13	1	no	—
1339	C₄×C₈	—	13	1	no	—
1340	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic
1341	C₂×C₁₃	—	4	1	no	—
1342	C₂×C₁₃	—	4	2	no	—
1343	C₂×C₁₃	—	4	2	no	—
1344	C₂×C₁₃	—	8	1	no	—
1345	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1346	C₂×C₁₃	#3584	1	1	yes	characteristic
1347	C₂×C₁₃	#3584	1	1	yes	characteristic
1348	D₁₃	—	2	2	no	—
1349	D₁₃	—	4	1	no	—
1350	D₁₃	—	8	1	no	—
1351	C₂⁴	—	2	1	no	—
1352	C₂⁴	—	13	1	no	—
1353	#41	—	13	4	no	—
1354	#41	—	13	4	no	—
1355	#41	—	26	2	no	—
1356	#41	—	26	2	no	—
1357	#41	—	26	2	no	—
1358	#41	—	26	2	no	—
1359	#41	—	26	2	no	—
1360	#41	—	26	2	no	—
1361	#41	—	26	2	no	—
1362	#41	—	26	2	no	—
1363	#41	—	26	8	no	—
1364	#41	—	26	8	no	—
1365	#41	—	26	2	no	—
1366	#41	—	26	2	no	—
1367	C₂×Q₈	—	2	1	no	—
1368	C₂×Q₈	—	13	1	no	—
1369	C₂×Q₈	—	13	1	no	—
1370	C₂×Q₈	—	13	1	no	—
1371	C₂×Q₈	—	26	2	no	—
1372	C₂×Q₈	—	26	2	no	—
1373	C₂×Q₈	—	26	1	no	—
1374	C₂×Q₈	—	26	1	no	—
1375	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1376	C₂×D₄	—	2	2	no	—
1377	C₂×D₄	—	2	2	no	—
1378	C₂×D₄	—	2	1	no	—
1379	C₂×D₄	—	2	1	no	—
1380	C₂×D₄	—	13	1	no	—
1381	C₂×D₄	—	26	1	no	—
1382	C₂×D₄	—	26	1	no	—
1383	C₂×D₄	—	26	1	no	—
1384	C₂×D₄	—	26	1	no	—
1385	C₂×D₄	—	26	1	no	—
1386	C₂×D₄	—	26	1	no	—
1387	C₂×D₄	—	26	1	no	—
1388	C₂×D₄	—	26	1	no	—
1389	C₂×D₄	—	26	8	no	—
1390	C₂×D₄	—	26	1	no	—
1391	C₂×D₄	—	26	1	no	—
1392	C₂×D₄	—	26	1	no	—
1393	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1394	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1395	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	13	1	no	—
1402	C₂²×C₄	—	13	1	no	—
1403	C₂²×C₄	—	13	1	no	—
1404	C₂²×C₄	—	13	1	no	—
1405	C₂²×C₄	—	13	1	no	—
1406	C₂²×C₄	—	13	1	no	—
1407	C₂²×C₄	—	13	1	no	—
1408	C₂²×C₄	—	13	1	no	—
1409	C₂²×C₄	—	13	1	no	—
1410	C₂²×C₄	—	26	2	no	—
1411	C₂²×C₄	—	26	2	no	—
1412	C₂²×C₄	—	26	1	no	—
1413	C₂²×C₄	—	26	1	no	—
1414	C₂²×C₄	—	26	1	no	—
1415	C₂²×C₄	—	26	1	no	—
1416	C₂²×C₄	—	26	1	no	—
1417	C₂²×C₄	—	26	1	no	—
1418	C₂²×C₄	—	26	1	no	—
1419	C₂²×C₄	—	26	1	no	—
1420	C₂²×C₄	—	26	1	no	—
1421	C₂²×C₄	—	26	1	no	—
1422	C₂²×C₄	—	26	1	no	—
1423	C₂²×C₄	—	26	1	no	—
1424	C₂²×C₄	—	26	1	no	—
1425	C₂²×C₄	—	26	1	no	—
1426	C₂²×C₄	—	26	8	no	—
1427	C₂²×C₄	—	26	1	no	—
1428	C₂²×C₄	—	26	1	no	—
1429	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1430	Q₁₆	—	26	2	no	—
1431	Q₁₆	—	26	2	no	—
1432	Q₁₆	—	26	2	no	—
1433	Q₁₆	—	26	2	no	—
1434	SD₁₆	—	2	2	no	—
1435	SD₁₆	—	2	2	no	—
1436	SD₁₆	—	26	2	no	—
1437	SD₁₆	—	26	2	no	—
1438	SD₁₆	—	26	2	no	—
1439	SD₁₆	—	26	2	no	—
1440	SD₁₆	—	26	2	no	—
1441	SD₁₆	—	26	2	no	—
1442	D₈	—	2	2	no	—
1443	D₈	—	2	2	no	—
1444	D₈	—	26	2	no	—
1445	D₈	—	26	2	no	—
1446	C₂×C₈	—	13	1	no	—
1447	C₂×C₈	—	13	1	no	—
1448	C₂×C₈	—	13	1	no	—
1449	C₂×C₈	—	13	1	no	—
1450	C₂×C₈	—	26	2	no	—
1451	C₂×C₈	—	26	2	no	—
1452	C₂×C₈	—	26	2	no	—
1453	C₂×C₈	—	26	2	no	—
1454	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1455	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1456	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1457	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	13	1	no	—
1462	C₄⋊C₄	—	13	1	no	—
1463	C₄⋊C₄	—	13	1	no	—
1464	C₄⋊C₄	—	13	1	no	—
1465	C₄⋊C₄	—	13	1	no	—
1466	C₄⋊C₄	—	13	1	no	—
1467	C₄⋊C₄	—	13	1	no	—
1468	C₄⋊C₄	—	13	1	no	—
1469	C₄⋊C₄	—	13	1	no	—
1470	C₄⋊C₄	—	13	1	no	—
1471	C₄⋊C₄	—	26	1	no	—
1472	C₄⋊C₄	—	26	1	no	—
1473	C₄⋊C₄	—	26	1	no	—
1474	C₄⋊C₄	—	26	1	no	—
1475	C₄⋊C₄	—	26	1	no	—
1476	C₄⋊C₄	—	26	1	no	—
1477	C₄⋊C₄	—	26	1	no	—
1478	C₄⋊C₄	—	26	1	no	—
1479	C₄⋊C₄	—	26	1	no	—
1480	C₄⋊C₄	—	26	1	no	—
1481	C₄⋊C₄	—	26	1	no	—
1482	C₄⋊C₄	—	26	1	no	—
1483	C₄⋊C₄	—	26	1	no	—
1484	C₄⋊C₄	—	26	1	no	—
1485	C₄⋊C₄	—	26	1	no	—
1486	C₄⋊C₄	—	26	1	no	—
1487	C₄⋊C₄	—	26	1	no	—
1488	C₄⋊C₄	—	26	1	no	—
1489	C₄⋊C₄	—	26	1	no	—
1490	C₄⋊C₄	—	26	1	no	—
1491	C₄⋊C₄	—	26	1	no	—
1492	C₄⋊C₄	—	26	1	no	—
1493	C₄⋊C₄	—	26	1	no	—
1494	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1495	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1497	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1498	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1499	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	13	1	no	—
1511	C₂²⋊C₄	—	13	1	no	—
1512	C₂²⋊C₄	—	13	1	no	—
1513	C₂²⋊C₄	—	13	1	no	—
1514	C₂²⋊C₄	—	13	1	no	—
1515	C₂²⋊C₄	—	13	1	no	—
1516	C₂²⋊C₄	—	26	1	no	—
1517	C₂²⋊C₄	—	26	1	no	—
1518	C₂²⋊C₄	—	26	1	no	—
1519	C₂²⋊C₄	—	26	1	no	—
1520	C₂²⋊C₄	—	26	1	no	—
1521	C₂²⋊C₄	—	26	1	no	—
1522	C₂²⋊C₄	—	26	1	no	—
1523	C₂²⋊C₄	—	26	1	no	—
1524	C₂²⋊C₄	—	26	1	no	—
1525	C₂²⋊C₄	—	26	1	no	—
1526	C₂²⋊C₄	—	26	1	no	—
1527	C₂²⋊C₄	—	26	1	no	—
1528	C₂²⋊C₄	—	26	1	no	—
1529	C₂²⋊C₄	—	26	1	no	—
1530	C₂²⋊C₄	—	26	1	no	—
1531	C₂²⋊C₄	—	26	1	no	—
1532	C₂²⋊C₄	—	26	1	no	—
1533	C₂²⋊C₄	—	26	1	no	—
1534	C₂²⋊C₄	—	26	1	no	—
1535	C₂²⋊C₄	—	26	1	no	—
1536	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1537	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1538	C₄²	—	2	1	no	—
1539	C₄²	—	2	1	no	—
1540	C₄²	—	13	1	no	—
1541	C₄²	—	13	1	no	—
1542	C₄²	—	13	1	no	—
1543	C₄²	—	13	1	no	—
1544	C₄²	—	13	1	no	—
1545	C₄²	—	13	1	no	—
1546	C₄²	—	26	1	no	—
1547	C₄²	—	26	1	no	—
1548	C₄²	—	26	1	no	—
1549	C₄²	—	26	1	no	—
1550	C₄²	—	26	1	no	—
1551	C₄²	—	26	1	no	—
1552	C₄²	—	26	1	no	—
1553	C₄²	—	26	1	no	—
1554	C₄²	—	26	1	no	—
1555	C₄²	—	26	1	no	—
1556	C₄²	—	26	1	no	—
1557	C₄²	—	26	1	no	—
1558	C₄²	—	26	1	no	—
1559	C₄²	—	26	1	no	—
1560	C₄²	—	26	1	no	—
1561	C₄²	—	26	1	no	—
1562	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1563	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1564	C₁₃	#60557	1	1	yes	characteristic, complemented, Sylow
1565	C₂³	—	2	4	no	—
1566	C₂³	—	2	1	no	—
1567	C₂³	—	2	1	no	—
1568	C₂³	—	2	1	no	—
1569	C₂³	—	8	1	no	—
1570	C₂³	—	8	1	no	—
1571	C₂³	—	13	1	no	—
1572	C₂³	—	13	1	no	—
1573	C₂³	—	26	2	no	—
1574	C₂³	—	26	1	no	—
1575	C₂³	—	52	1	no	—
1576	C₂³	—	52	1	no	—
1577	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	8	1	no	—
1581	Q₈	—	13	2	no	—
1582	Q₈	—	13	2	no	—
1583	Q₈	—	26	4	no	—
1584	Q₈	—	26	1	no	—
1585	Q₈	—	26	1	no	—
1586	Q₈	—	26	1	no	—
1587	Q₈	—	26	1	no	—
1588	Q₈	—	104	1	no	—
1589	D₄	—	2	4	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	2	1	no	—
1592	D₄	—	2	1	no	—
1593	D₄	—	2	1	no	—
1594	D₄	—	8	1	no	—
1595	D₄	—	26	4	no	—
1596	D₄	—	26	4	no	—
1597	D₄	—	26	4	no	—
1598	D₄	—	26	4	no	—
1599	D₄	—	26	1	no	—
1600	D₄	—	26	1	no	—
1601	D₄	—	52	2	no	—
1602	D₄	—	52	2	no	—
1603	D₄	—	104	1	no	—
1604	D₄	—	104	1	no	—
1605	D₄	—	104	1	no	—
1606	D₄	—	104	1	no	—
1607	D₄	—	104	1	no	—
1608	D₄	#41×D₁₃	1	2	yes	—
1609	D₄	#41×D₁₃	1	2	yes	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	2	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	—	8	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	13	1	no	—
1623	C₂×C₄	—	13	2	no	—
1624	C₂×C₄	—	13	2	no	—
1625	C₂×C₄	—	13	1	no	—
1626	C₂×C₄	—	13	1	no	—
1627	C₂×C₄	—	13	1	no	—
1628	C₂×C₄	—	13	1	no	—
1629	C₂×C₄	—	13	1	no	—
1630	C₂×C₄	—	26	2	no	—
1631	C₂×C₄	—	26	2	no	—
1632	C₂×C₄	—	26	2	no	—
1633	C₂×C₄	—	26	4	no	—
1634	C₂×C₄	—	26	4	no	—
1635	C₂×C₄	—	26	4	no	—
1636	C₂×C₄	—	26	4	no	—
1637	C₂×C₄	—	26	4	no	—
1638	C₂×C₄	—	26	1	no	—
1639	C₂×C₄	—	26	1	no	—
1640	C₂×C₄	—	26	1	no	—
1641	C₂×C₄	—	26	1	no	—
1642	C₂×C₄	—	26	1	no	—
1643	C₂×C₄	—	26	1	no	—
1644	C₂×C₄	—	26	1	no	—
1645	C₂×C₄	—	26	1	no	—
1646	C₂×C₄	—	26	1	no	—
1647	C₂×C₄	—	52	1	no	—
1648	C₂×C₄	—	52	1	no	—
1649	C₂×C₄	—	52	1	no	—
1650	C₂×C₄	—	52	1	no	—
1651	C₂×C₄	—	52	2	no	—
1652	C₂×C₄	—	52	2	no	—
1653	C₂×C₄	—	104	1	no	—
1654	C₂×C₄	—	104	1	no	—
1655	C₂×C₄	—	104	1	no	—
1656	C₂×C₄	—	104	1	no	—
1657	C₂×C₄	—	104	1	no	—
1658	C₂×C₄	—	104	1	no	—
1659	C₂×C₄	—	104	1	no	—
1660	C₂×C₄	—	104	1	no	—
1661	C₂×C₄	—	104	1	no	—
1662	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1663	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1664	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1665	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1666	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1667	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1668	C₈	—	2	1	no	—
1669	C₈	—	2	1	no	—
1670	C₈	—	2	1	no	—
1671	C₈	—	2	1	no	—
1672	C₈	—	26	1	no	—
1673	C₈	—	26	1	no	—
1674	C₈	—	26	1	no	—
1675	C₈	—	26	1	no	—
1676	C₂²	—	2	1	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	2	2	no	—
1679	C₂²	—	2	2	no	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	8	4	no	—
1689	C₂²	—	13	2	no	—
1690	C₂²	—	26	1	no	—
1691	C₂²	—	26	1	no	—
1692	C₂²	—	26	1	no	—
1693	C₂²	—	26	1	no	—
1694	C₂²	—	26	1	no	—
1695	C₂²	—	52	1	no	—
1696	C₂²	—	52	1	no	—
1697	C₂²	—	52	1	no	—
1698	C₂²	—	104	2	no	—
1699	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1700	C₄	—	2	1	no	—
1701	C₄	—	2	1	no	—
1702	C₄	—	2	1	no	—
1703	C₄	—	2	1	no	—
1704	C₄	—	2	1	no	—
1705	C₄	—	4	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	13	2	no	—
1711	C₄	—	26	1	no	—
1712	C₄	—	26	1	no	—
1713	C₄	—	26	1	no	—
1714	C₄	—	26	2	no	—
1715	C₄	—	26	2	no	—
1716	C₄	—	26	1	no	—
1717	C₄	—	26	1	no	—
1718	C₄	—	52	1	no	—
1719	C₄	—	52	1	no	—
1720	C₄	—	52	1	no	—
1721	C₄	—	52	1	no	—
1722	C₄	—	52	1	no	—
1723	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1724	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1725	C₂	—	4	1	no	—
1726	C₂	—	4	2	no	—
1727	C₂	—	4	2	no	—
1728	C₂	—	8	1	no	—
1729	C₂	—	26	2	no	—
1730	C₂	—	52	1	no	—
1731	C₂	—	104	1	no	—
1732	C₂	D₁₃×#525	1	1	yes	characteristic
1733	C₂	#13129604	1	1	yes	characteristic
1734	C₂	#13129608	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	#60557
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. #13128034	C₂	semidirect
3. #13125132	C₂	semidirect
4. #13125123	C₂	semidirect
5. #13125118	C₂	semidirect
6. #13125110	C₂	semidirect
7. #13125103	C₂	semidirect
8. #13125095	C₂	semidirect
9. #13125082	C₂	semidirect
10. #13125073	C₂	semidirect
11. #13125067	C₂	semidirect
12. #13125059	C₂	semidirect
13. #13125054	C₂	semidirect
14. #13125046	C₂	semidirect
15. #13125039	C₂	semidirect
16. #13125031	C₂	semidirect
17. #13125020	C₂	semidirect
18. #13124754	C₂	semidirect
19. #13124748	C₂	semidirect
20. #13124625	C₂	semidirect
21. #13124617	C₂	semidirect
22. #13124288	C₂	semidirect
23. #13124288	C₂	semidirect
24. #13124055	C₂	semidirect
25. #13124049	C₂	semidirect
26. #13123633	C₂	semidirect
27. #13123631	C₂	semidirect
28. C₄×#88170	C₂	semidirect
29. C₄×#88166	C₂	semidirect
30. D₁₃×#433	C₂	semidirect
31. C₁₃×#3118	C₂	semidirect
40. #11719438	C₂²	semidirect
41. #11719433	C₂²	semidirect
44. #11719387	C₂²	semidirect
47. #11719373	C₂²	semidirect
56. #11719288	C₂²	semidirect
57. C₄×#6131	C₂²	semidirect
58. #11719267	C₂²	semidirect
71. C₄×#6129	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
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. #11718755	C₂²	semidirect
109. #11718752	C₂²	semidirect
110. #11718715	C₂²	semidirect
111. #11718715	C₂²	semidirect
116. #11718691	C₂²	semidirect
117. C₄×#6107	C₂²	semidirect
118. #11718679	C₂²	semidirect
119. #11718679	C₂²	semidirect
120. C₄×#6105	C₂²	semidirect
121. C₄×#6105	C₂²	semidirect
122. #11718677	C₂²	semidirect
123. #11718677	C₂²	semidirect
124. #11718675	C₂²	semidirect
125. C₄×#6104	C₂²	semidirect
126. #11718669	C₂²	semidirect
127. #11718668	C₂²	semidirect
131. #11718550	C₂²	semidirect
132. #11718545	C₂²	semidirect
133. #11718543	C₂²	semidirect
134. #11718541	C₂²	semidirect
135. #11718541	C₂²	semidirect
136. #11718538	C₂²	semidirect
137. #11718538	C₂²	semidirect
138. #11718534	C₂²	semidirect
139. #11718524	C₂²	semidirect
140. #11718523	C₂²	semidirect
141. #11718521	C₂²	semidirect
142. #11718521	C₂²	semidirect
143. #11718518	C₂²	semidirect
144. #11718518	C₂²	semidirect
145. #11718514	C₂²	semidirect
146. #11718513	C₂²	semidirect
147. #11718512	C₂²	semidirect
148. #11718511	C₂²	semidirect
149. #11718506	C₂²	semidirect
150. #11718506	C₂²	semidirect
151. #11718501	C₂²	semidirect
152. #11718501	C₂²	semidirect
153. D₁₃×C₄⋊C₈	C₂²	semidirect
154. D₁₃×C₄⋊C₈	C₂²	semidirect
155. #11718470	C₂²	semidirect
156. #11718466	C₂²	semidirect
157. #11718465	C₂²	semidirect
158. #11718465	C₂²	semidirect
159. #11718454	C₂²	semidirect
160. #11718454	C₂²	semidirect
161. #11718451	C₂²	semidirect
162. #11718450	C₂²	semidirect
163. #11718446	C₂²	semidirect
168. #11718438	C₂²	semidirect
169. #11718435	C₂²	semidirect
174. #11718433	C₂²	semidirect
175. #11718433	C₂²	semidirect
176. #11718427	C₂²	semidirect
177. #11718427	C₂²	semidirect
178. #11718424	C₂²	semidirect
179. #11718424	C₂²	semidirect
180. #11718423	C₂²	semidirect
181. #11718423	C₂²	semidirect
182. #11718419	C₂²	semidirect
183. #11718419	C₂²	semidirect
184. #11718418	C₂²	semidirect
185. #11718418	C₂²	semidirect
186. #11718417	C₂²	semidirect
195. #11718377	C₂²	semidirect
196. #11718371	C₂²	semidirect
197. #11718370	C₂²	semidirect
198. D₁₃×#97	C₂²	semidirect
199. C₄×Dic₅₂	C₂²	semidirect
200. C₄×#6095	C₂²	semidirect
201. #11718351	C₂²	semidirect
202. C₄×C₈×D₁₃	C₂²	semidirect
715. #3118	D₁₃	semidirect
916. #476	C₂×D₁₃	semidirect
920. #474	C₂×D₁₃	semidirect
927. #463	C₂×D₁₃	semidirect
928. #463	C₂×D₁₃	semidirect
956. #442	C₂×D₁₃	semidirect
968. #440	C₂×D₁₃	semidirect
980. C₄×SD₁₆	C₂×D₁₃	semidirect
984. C₄×D₈	C₂×D₁₃	semidirect
1564. C₁₃	#60557	semidirect

Maximal subgroups

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

subgroup	index
#13128223	2
#13128034	2
#13125132	2
#13125123	2
#13125118	2
#13125110	2
#13125103	2
#13125095	2
#13125082	2
#13125073	2
#13125067	2
#13125059	2
#13125054	2
#13125046	2
#13125039	2
#13125031	2
#13125020	2
#13124754	2
#13124748	2
#13124625	2
#13124617	2
#13124288	2
#13124055	2
#13124049	2
#13123633	2
#13123631	2
C₄×#88170	2
C₄×#88166	2
D₁₃×#433	2
C₁₃×#3118	2
#60557	13