Subgroups — C₁₃×#62618 #15748957

Order 3328.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3358	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3333	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3226	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3141	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3136	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#563	—	2	2	no	—
25	C₁₃×#560	—	2	2	no	—
26	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#556	C₂²	1	1	yes	characteristic
28	C₁₃×#556	C₂²	1	1	yes	characteristic
29	C₁₃×#554	C₂²	1	2	yes	complemented
30	C₁₃×#553	—	2	1	no	—
31	C₁₃×#553	C₂²	1	2	yes	complemented
32	C₁₃×#550	C₂²	1	2	yes	—
33	C₁₃×#550	C₂²	1	1	yes	characteristic
34	D₄×Q₈×C₁₃	—	2	1	no	—
35	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#548	—	2	1	no	—
37	C₁₃×#547	C₂²	1	1	yes	characteristic
38	C₁₃×#547	C₂²	1	1	yes	characteristic
39	C₁₃×#546	—	2	1	no	—
40	C₁₃×#546	C₂²	1	2	yes	—
41	D₄²×C₁₃	C₂²	1	1	yes	characteristic
42	C₁₃×#544	C₂²	1	2	yes	complemented
43	C₁₃×#542	C₂²	1	2	yes	—
44	C₁₃×#542	C₂²	1	2	yes	complemented
45	C₁₃×#541	—	2	1	no	—
46	C₁₃×#539	—	2	2	no	—
47	C₁₃×#538	—	2	2	no	—
48	C₁₃×#537	—	2	1	no	—
49	C₁₃×#536	—	2	1	no	—
50	C₁₃×#535	—	2	1	no	—
51	C₁₃×#535	C₂²	1	2	yes	—
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#529	C₂²	1	1	yes	characteristic
56	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#500	C₂²	1	2	yes	complemented
59	C₁₃×#496	C₂²	1	1	yes	characteristic
60	C₁₃×#495	C₂²	1	2	yes	complemented
61	C₁₃×#490	C₂²	1	1	yes	characteristic
62	C₁₃×#490	C₂²	1	2	yes	complemented
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#489	C₂²	1	2	yes	complemented
66	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#488	C₂²	1	2	yes	—
68	C₁₃×#488	C₂²	1	2	yes	complemented
69	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#486	C₂²	1	1	yes	characteristic
72	C₁₃×#486	C₂²	1	1	yes	characteristic
73	C₁₃×#486	C₂²	1	2	yes	—
74	C₁₃×#486	C₂²	1	2	yes	complemented
75	C₁₃×#485	C₂²	1	2	yes	complemented
76	C₁₃×#484	C₂²	1	2	yes	complemented
77	C₁₃×#482	C₂²	1	2	yes	—
78	C₁₃×#480	C₂²	1	2	yes	—
79	C₁₃×#480	C₂²	1	2	yes	—
80	C₁₃×#480	C₂²	1	2	yes	complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#477	C₂²	1	2	yes	complemented
84	C₁₃×#474	C₂²	1	1	yes	characteristic
85	C₁₃×#474	C₂²	1	1	yes	characteristic
86	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#474	C₂²	1	2	yes	complemented
88	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#469	C₂²	1	1	yes	characteristic
90	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#468	C₂²	1	1	yes	characteristic
92	C₁₃×#468	C₂²	1	2	yes	—
93	C₁₃×#468	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#467	C₂²	1	2	yes	complemented
96	C₁₃×#466	C₂²	1	2	yes	—
97	C₁₃×#464	C₂²	1	2	yes	—
98	C₁₃×#463	C₂²	1	2	yes	—
99	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#460	C₂²	1	1	yes	characteristic
102	C₁₃×#460	C₂²	1	2	yes	complemented
103	C₁₃×#459	C₂²	1	1	yes	characteristic
104	C₁₃×#459	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#450	C₂²	1	2	yes	—
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#449	C₂²	1	2	yes	complemented
110	C₁₃×#447	C₂²	1	2	yes	—
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#440	C₂²	1	2	yes	complemented
114	C₁₃×#440	C₂²	1	2	yes	complemented
115	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
116	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#436	C₂²	1	2	yes	complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
125	C₁₃×#433	C₂²	1	2	yes	complemented
126	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#418	C₂²	1	2	yes	—
128	C₁₃×#417	C₂²	1	2	yes	complemented
129	C₁₃×#417	C₂²	1	2	yes	complemented
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₁₃×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#102	C₂²	1	2	yes	—
133	C₁₃×#405	C₂²	1	2	yes	complemented
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₃	—	2	1	no	—
141	C₂²×Q₈×C₁₃	—	2	1	no	—
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	2	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×#127	—	2	2	no	—
167	C₁₃×#127	C₂³	1	1	yes	characteristic
168	C₁₃×#127	C₂³	1	2	yes	—
169	C₁₃×#127	C₂³	1	1	yes	characteristic
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	D₄	1	2	yes	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	D₄	1	1	yes	characteristic
181	C₁₃×#125	C₂³	1	2	yes	—
182	C₁₃×#125	C₂³	1	1	yes	characteristic
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	D₄	1	1	yes	characteristic
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#124	C₂³	1	1	yes	characteristic
191	C₁₃×#123	—	2	1	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	D₄	1	2	yes	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	1	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	D₄	1	1	yes	characteristic
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	1	yes	characteristic
231	C₁₃×#121	C₂³	1	1	yes	characteristic
232	C₁₃×#120	—	2	2	no	—
233	C₁₃×#120	—	2	2	no	—
234	C₁₃×#120	—	2	2	no	—
235	C₁₃×#120	—	2	2	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	C₂³	1	2	yes	—
259	C₁₃×#117	C₂³	1	2	yes	—
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
266	C₁₃×#107	C₂³	1	1	yes	characteristic
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
277	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
278	C₁₃×#103	C₂³	1	2	yes	—
279	C₁₃×#103	C₂³	1	2	yes	—
280	C₁₃×#103	C₂³	1	2	yes	—
281	C₁₃×#103	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	2	yes	—
283	C₁₃×#103	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#102	C₂³	1	1	yes	characteristic
287	C₁₃×#102	C₂³	1	2	yes	—
288	C₁₃×#102	C₂³	1	2	yes	—
289	C₁₃×#102	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	1	yes	characteristic
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	1	yes	characteristic
293	C₁₃×#102	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×#97	C₂³	1	1	yes	characteristic
306	C₁₃×#97	C₂³	1	1	yes	characteristic
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#62618	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	2	no	—
314	C₁₃×#41	—	4	2	no	—
315	C₁₃×#41	—	4	2	no	—
316	C₁₃×#41	—	4	2	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	8	2	no	—
319	C₁₃×#41	—	8	2	no	—
320	C₁₃×#41	—	8	2	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	—	8	2	no	—
327	C₂×Q₈×C₁₃	—	8	2	no	—
328	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	1	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	4	2	no	—
346	C₂×D₄×C₁₃	—	4	2	no	—
347	C₂×D₄×C₁₃	—	8	2	no	—
348	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
367	C₁₃×Q₁₆	—	4	2	no	—
368	C₁₃×SD₁₆	—	4	1	no	—
369	C₁₃×SD₁₆	—	4	1	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×SD₁₆	—	4	2	no	—
372	C₁₃×D₈	—	4	2	no	—
373	C₁₃×D₈	—	4	1	no	—
374	C₁₃×D₈	—	4	1	no	—
375	C₁₃×M₁₆	—	4	1	no	—
376	C₁₃×M₁₆	—	4	1	no	—
377	C₁₃×M₁₆	—	4	2	no	—
378	C₂×C₈×C₁₃	—	4	2	no	—
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
383	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	1	no	—
431	C₁₃×C₂²⋊C₄	—	2	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	no	—
436	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
437	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
438	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₄²×C₁₃	C₂⁴	1	2	yes	—
450	#3552	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3358	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3333	C₂×C₁₃	1	2	yes	complemented
457	#3330	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3324	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3322	C₂×C₁₃	1	2	yes	complemented
460	#3314	C₂×C₁₃	1	2	yes	complemented
461	#3309	C₂×C₁₃	1	2	yes	complemented
462	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3243	C₂×C₁₃	1	2	yes	complemented
465	#3226	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3224	C₂×C₁₃	1	2	yes	complemented
467	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3175	C₂×C₁₃	1	2	yes	complemented
469	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3141	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3136	C₂×C₁₃	1	2	yes	complemented
472	#2969	C₂×C₁₃	1	1	yes	characteristic, complemented
473	C₂³×C₁₃	—	2	1	no	—
474	C₂³×C₁₃	—	2	1	no	—
475	C₂³×C₁₃	—	2	2	no	—
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	8	2	no	—
478	C₂³×C₁₃	—	8	2	no	—
479	C₂³×C₁₃	—	8	2	no	—
480	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
481	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	2	no	—
487	Q₈×C₁₃	—	4	2	no	—
488	Q₈×C₁₃	—	4	2	no	—
489	Q₈×C₁₃	—	8	2	no	—
490	Q₈×C₁₃	—	8	2	no	—
491	Q₈×C₁₃	—	8	1	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	2	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	2	1	no	—
499	D₄×C₁₃	—	2	2	no	—
500	D₄×C₁₃	—	2	1	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	8	1	no	—
505	D₄×C₁₃	—	8	1	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	1	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	—	8	2	no	—
512	D₄×C₁₃	—	8	2	no	—
513	D₄×C₁₃	—	8	1	no	—
514	D₄×C₁₃	—	8	1	no	—
515	D₄×C₁₃	—	8	2	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	2	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	4	1	no	—
530	C₂×C₄×C₁₃	—	4	2	no	—
531	C₂×C₄×C₁₃	—	4	2	no	—
532	C₂×C₄×C₁₃	—	4	2	no	—
533	C₂×C₄×C₁₃	—	8	2	no	—
534	C₂×C₄×C₁₃	—	8	2	no	—
535	C₂×C₄×C₁₃	—	8	2	no	—
536	C₂×C₄×C₁₃	—	8	2	no	—
537	C₂×C₄×C₁₃	—	8	2	no	—
538	C₂×C₄×C₁₃	—	8	2	no	—
539	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
548	C₈×C₁₃	—	2	1	no	—
549	C₈×C₁₃	—	2	2	no	—
550	C₈×C₁₃	—	2	1	no	—
551	C₈×C₁₃	—	2	1	no	—
552	C₈×C₁₃	—	2	1	no	—
553	C₈×C₁₃	—	2	2	no	—
554	#563	—	2	2	no	—
555	#560	—	2	2	no	—
556	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
557	#556	C₂²×C₁₃	1	1	yes	characteristic
558	#556	C₂²×C₁₃	1	1	yes	characteristic
559	#554	C₂²×C₁₃	1	2	yes	complemented
560	#553	—	2	1	no	—
561	#553	C₂²×C₁₃	1	2	yes	complemented
562	#550	C₂²×C₁₃	1	2	yes	—
563	#550	C₂²×C₁₃	1	1	yes	characteristic
564	D₄×Q₈	—	2	1	no	—
565	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
566	#548	—	2	1	no	—
567	#547	C₂²×C₁₃	1	1	yes	characteristic
568	#547	C₂²×C₁₃	1	1	yes	characteristic
569	#546	—	2	1	no	—
570	#546	C₂²×C₁₃	1	2	yes	—
571	D₄²	C₂²×C₁₃	1	1	yes	characteristic
572	#544	C₂²×C₁₃	1	2	yes	complemented
573	#542	C₂²×C₁₃	1	2	yes	—
574	#542	C₂²×C₁₃	1	2	yes	complemented
575	#541	—	2	1	no	—
576	#539	—	2	2	no	—
577	#538	—	2	2	no	—
578	#537	—	2	1	no	—
579	#536	—	2	1	no	—
580	#535	—	2	1	no	—
581	#535	C₂²×C₁₃	1	2	yes	—
582	#532	C₂²×C₁₃	1	1	yes	characteristic
583	#532	C₂²×C₁₃	1	1	yes	characteristic
584	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
585	#529	C₂²×C₁₃	1	1	yes	characteristic
586	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
588	#500	C₂²×C₁₃	1	2	yes	complemented
589	#496	C₂²×C₁₃	1	1	yes	characteristic
590	#495	C₂²×C₁₃	1	2	yes	complemented
591	#490	C₂²×C₁₃	1	1	yes	characteristic
592	#490	C₂²×C₁₃	1	2	yes	complemented
593	#489	C₂²×C₁₃	1	2	yes	—
594	#489	C₂²×C₁₃	1	2	yes	complemented
595	#489	C₂²×C₁₃	1	2	yes	complemented
596	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#488	C₂²×C₁₃	1	2	yes	—
598	#488	C₂²×C₁₃	1	2	yes	complemented
599	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#486	C₂²×C₁₃	1	1	yes	characteristic
602	#486	C₂²×C₁₃	1	1	yes	characteristic
603	#486	C₂²×C₁₃	1	2	yes	—
604	#486	C₂²×C₁₃	1	2	yes	complemented
605	#485	C₂²×C₁₃	1	2	yes	complemented
606	#484	C₂²×C₁₃	1	2	yes	complemented
607	#482	C₂²×C₁₃	1	2	yes	—
608	#480	C₂²×C₁₃	1	2	yes	—
609	#480	C₂²×C₁₃	1	2	yes	—
610	#480	C₂²×C₁₃	1	2	yes	complemented
611	#479	C₂²×C₁₃	1	2	yes	complemented
612	#478	C₂²×C₁₃	1	2	yes	complemented
613	#477	C₂²×C₁₃	1	2	yes	complemented
614	#474	C₂²×C₁₃	1	1	yes	characteristic
615	#474	C₂²×C₁₃	1	1	yes	characteristic
616	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#474	C₂²×C₁₃	1	2	yes	complemented
619	#469	C₂²×C₁₃	1	1	yes	characteristic
620	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#468	C₂²×C₁₃	1	2	yes	—
622	#468	C₂²×C₁₃	1	1	yes	characteristic
623	#468	C₂²×C₁₃	1	2	yes	complemented
624	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#467	C₂²×C₁₃	1	2	yes	complemented
626	#466	C₂²×C₁₃	1	2	yes	—
627	#464	C₂²×C₁₃	1	2	yes	—
628	#463	C₂²×C₁₃	1	2	yes	—
629	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#460	C₂²×C₁₃	1	1	yes	characteristic
632	#460	C₂²×C₁₃	1	2	yes	complemented
633	#459	C₂²×C₁₃	1	1	yes	characteristic
634	#459	C₂²×C₁₃	1	2	yes	complemented
635	#452	C₂²×C₁₃	1	2	yes	complemented
636	#452	C₂²×C₁₃	1	2	yes	complemented
637	#450	C₂²×C₁₃	1	2	yes	—
638	#449	C₂²×C₁₃	1	2	yes	complemented
639	#449	C₂²×C₁₃	1	2	yes	complemented
640	#447	C₂²×C₁₃	1	2	yes	—
641	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#440	C₂²×C₁₃	1	2	yes	complemented
644	#440	C₂²×C₁₃	1	2	yes	complemented
645	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
646	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
647	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
649	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
651	#436	C₂²×C₁₃	1	1	yes	characteristic
652	#436	C₂²×C₁₃	1	2	yes	complemented
653	#435	C₂²×C₁₃	1	2	yes	complemented
654	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
655	#433	C₂²×C₁₃	1	2	yes	complemented
656	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#418	C₂²×C₁₃	1	2	yes	—
658	#417	C₂²×C₁₃	1	2	yes	complemented
659	#417	C₂²×C₁₃	1	2	yes	complemented
660	#417	C₂²×C₁₃	1	2	yes	complemented
661	#416	C₂²×C₁₃	1	2	yes	complemented
662	C₂×#102	C₂²×C₁₃	1	2	yes	—
663	#405	C₂²×C₁₃	1	2	yes	complemented
664	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	C₂²×C₁₃	—	2	1	no	—
666	C₂²×C₁₃	—	2	2	no	—
667	C₂²×C₁₃	—	2	1	no	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	2	1	no	—
670	C₂²×C₁₃	—	2	2	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	—	4	2	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	1	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	16	4	no	—
684	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
685	C₄×C₁₃	—	2	1	no	—
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	2	1	no	—
691	C₄×C₁₃	—	2	2	no	—
692	C₄×C₁₃	—	4	1	no	—
693	C₄×C₁₃	—	4	2	no	—
694	C₄×C₁₃	—	4	1	no	—
695	C₄×C₁₃	—	4	1	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	—	4	2	no	—
699	C₄×C₁₃	—	4	2	no	—
700	C₄×C₁₃	#576	1	2	yes	—
701	C₄×C₁₃	#585	1	1	yes	characteristic
702	C₄×C₁₃	#585	1	1	yes	characteristic
703	C₂×#41	—	2	1	no	—
704	C₂×#41	—	2	1	no	—
705	C₂×#41	—	2	1	no	—
706	C₂×#41	C₂³×C₁₃	1	2	yes	—
707	C₂×#41	C₂³×C₁₃	1	2	yes	—
708	C₂²×Q₈	—	2	1	no	—
709	C₂²×Q₈	—	2	1	no	—
710	C₂²×D₄	—	2	1	no	—
711	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
712	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
715	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
716	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
717	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×D₈	C₂³×C₁₃	1	2	yes	—
719	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
722	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
723	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
724	C₄⋊Q₈	—	2	1	no	—
725	C₄⋊Q₈	—	2	2	no	—
726	C₄⋊Q₈	—	2	1	no	—
727	C₄⋊Q₈	—	2	1	no	—
728	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
729	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
730	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
731	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
732	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
733	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
734	#127	—	2	2	no	—
735	#127	C₂³×C₁₃	1	1	yes	characteristic
736	#127	C₂³×C₁₃	1	1	yes	characteristic
737	#127	C₂³×C₁₃	1	2	yes	—
738	#126	—	2	2	no	—
739	#126	—	2	2	no	—
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#126	—	2	2	no	—
743	#126	—	2	1	no	—
744	#126	D₄×C₁₃	1	2	yes	—
745	#125	—	2	2	no	—
746	#125	—	2	2	no	—
747	#125	—	2	2	no	—
748	#125	D₄×C₁₃	1	1	yes	characteristic
749	#125	C₂³×C₁₃	1	1	yes	characteristic
750	#125	C₂³×C₁₃	1	2	yes	—
751	#124	—	2	1	no	—
752	#124	—	2	2	no	—
753	#124	—	2	2	no	—
754	#124	—	2	1	no	—
755	#124	D₄×C₁₃	1	1	yes	characteristic
756	#124	C₂³×C₁₃	1	1	yes	characteristic
757	#124	C₂³×C₁₃	1	2	yes	—
758	#124	C₂³×C₁₃	1	2	yes	—
759	#123	—	2	1	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	D₄×C₁₃	1	2	yes	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	1	no	—
771	C₂²⋊Q₈	—	2	1	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
778	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
779	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
780	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
781	#121	—	2	1	no	—
782	#121	—	2	2	no	—
783	#121	—	2	1	no	—
784	#121	—	2	1	no	—
785	#121	—	2	1	no	—
786	#121	—	2	1	no	—
787	#121	—	2	2	no	—
788	#121	—	2	2	no	—
789	#121	—	2	1	no	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	2	no	—
793	#121	—	2	2	no	—
794	#121	D₄×C₁₃	1	1	yes	characteristic
795	#121	C₂³×C₁₃	1	1	yes	characteristic
796	#121	C₂³×C₁₃	1	1	yes	characteristic
797	#121	C₂³×C₁₃	1	1	yes	characteristic
798	#121	C₂³×C₁₃	1	2	yes	—
799	#121	C₂³×C₁₃	1	2	yes	—
800	#120	—	2	2	no	—
801	#120	—	2	2	no	—
802	#120	—	2	2	no	—
803	#120	—	2	2	no	—
804	C₄×Q₈	—	2	1	no	—
805	C₄×Q₈	—	2	1	no	—
806	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
807	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
808	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
809	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	2	no	—
813	C₄×D₄	—	2	2	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
819	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×D₄	C₂³×C₁₃	1	2	yes	—
821	C₄×D₄	C₂³×C₁₃	1	2	yes	—
822	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₄×D₄	C₂³×C₁₃	1	2	yes	—
824	#117	—	2	1	no	—
825	#117	—	2	1	no	—
826	#117	C₂³×C₁₃	1	2	yes	—
827	#117	C₂³×C₁₃	1	2	yes	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	—	2	1	no	—
830	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
831	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
832	C₂×C₂²⋊C₄	—	2	2	no	—
833	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
834	#107	C₂³×C₁₃	1	1	yes	characteristic
835	#107	C₂³×C₁₃	1	2	yes	—
836	#107	C₂³×C₁₃	1	1	yes	characteristic
837	#107	C₂³×C₁₃	1	2	yes	—
838	#107	C₂³×C₁₃	1	2	yes	—
839	#107	C₂³×C₁₃	1	2	yes	—
840	#106	C₂³×C₁₃	1	1	yes	characteristic
841	#106	C₂³×C₁₃	1	1	yes	characteristic
842	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
843	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
845	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
846	#103	C₂³×C₁₃	1	2	yes	—
847	#103	C₂³×C₁₃	1	2	yes	—
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	2	yes	—
850	#103	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	2	yes	—
852	#103	C₂³×C₁₃	1	1	yes	characteristic
853	#103	C₂³×C₁₃	1	1	yes	characteristic
854	#102	C₂³×C₁₃	1	1	yes	characteristic
855	#102	C₂³×C₁₃	1	2	yes	—
856	#102	C₂³×C₁₃	1	2	yes	—
857	#102	C₂³×C₁₃	1	2	yes	—
858	#102	C₂³×C₁₃	1	1	yes	characteristic
859	#102	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	1	yes	characteristic
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	1	yes	characteristic
866	#102	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	2	yes	—
868	#102	C₂³×C₁₃	1	1	yes	characteristic
869	#102	C₂³×C₁₃	1	1	yes	characteristic
870	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
873	#97	C₂³×C₁₃	1	1	yes	characteristic
874	#97	C₂³×C₁₃	1	1	yes	characteristic
875	#97	C₂³×C₁₃	1	2	yes	—
876	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
877	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₄×C₈	C₂³×C₁₃	1	2	yes	—
879	C₄×C₈	C₂³×C₁₃	1	2	yes	—
880	C₂×C₁₃	—	4	1	no	—
881	C₂×C₁₃	—	4	2	no	—
882	C₂×C₁₃	—	8	1	no	—
883	C₂×C₁₃	—	8	1	no	—
884	C₂×C₁₃	—	8	2	no	—
885	C₂×C₁₃	—	8	1	no	—
886	C₂×C₁₃	#3500	1	1	yes	characteristic
887	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
888	C₂×C₁₃	#3586	1	1	yes	characteristic
889	C₂⁴	—	2	2	no	—
890	#41	—	4	2	no	—
891	#41	—	4	2	no	—
892	#41	—	4	2	no	—
893	#41	—	4	2	no	—
894	#41	—	8	2	no	—
895	#41	—	8	2	no	—
896	#41	—	8	2	no	—
897	C₂×Q₈	—	2	1	no	—
898	C₂×Q₈	—	2	1	no	—
899	C₂×Q₈	—	2	2	no	—
900	C₂×Q₈	—	2	1	no	—
901	C₂×Q₈	—	2	2	no	—
902	C₂×Q₈	—	8	2	no	—
903	C₂×Q₈	—	8	2	no	—
904	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
905	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
906	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	1	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	1	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	4	2	no	—
922	C₂×D₄	—	4	2	no	—
923	C₂×D₄	—	8	2	no	—
924	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
925	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
926	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
928	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
929	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
940	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
941	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
942	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
943	Q₁₆	—	4	2	no	—
944	SD₁₆	—	4	1	no	—
945	SD₁₆	—	4	1	no	—
946	SD₁₆	—	4	2	no	—
947	SD₁₆	—	4	2	no	—
948	D₈	—	4	2	no	—
949	D₈	—	4	1	no	—
950	D₈	—	4	1	no	—
951	M₁₆	—	4	1	no	—
952	M₁₆	—	4	1	no	—
953	M₁₆	—	4	2	no	—
954	C₂×C₈	—	4	2	no	—
955	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
956	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
957	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
959	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
983	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
984	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
989	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
990	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	1	no	—
1012	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1013	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1014	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1015	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1017	C₄²	—	2	1	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1023	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₄²	C₂⁴×C₁₃	1	2	yes	—
1026	C₁₃	#62618	1	1	yes	characteristic, direct product factor, Sylow
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	8	2	no	—
1032	C₂³	—	8	2	no	—
1033	C₂³	—	8	2	no	—
1034	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1035	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	2	2	no	—
1040	Q₈	—	2	2	no	—
1041	Q₈	—	4	2	no	—
1042	Q₈	—	4	2	no	—
1043	Q₈	—	8	2	no	—
1044	Q₈	—	8	2	no	—
1045	Q₈	—	8	1	no	—
1046	D₄	—	2	2	no	—
1047	D₄	—	2	1	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	1	no	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	1	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	2	no	—
1058	D₄	—	8	2	no	—
1059	D₄	—	8	1	no	—
1060	D₄	—	8	1	no	—
1061	D₄	—	8	2	no	—
1062	D₄	—	8	1	no	—
1063	D₄	—	8	2	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	1	no	—
1068	D₄	—	8	1	no	—
1069	D₄	—	8	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	4	1	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	2	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1094	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1095	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1096	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1097	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1099	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1100	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1101	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1102	C₈	—	2	1	no	—
1103	C₈	—	2	2	no	—
1104	C₈	—	2	1	no	—
1105	C₈	—	2	1	no	—
1106	C₈	—	2	1	no	—
1107	C₈	—	2	2	no	—
1108	C₂²	—	2	1	no	—
1109	C₂²	—	2	2	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	2	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	16	4	no	—
1127	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1128	C₄	—	2	1	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	1	no	—
1131	C₄	—	2	1	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	2	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	1	no	—
1143	C₄	C₁₃×#576	1	2	yes	—
1144	C₄	C₁₃×#585	1	1	yes	characteristic
1145	C₄	C₁₃×#585	1	1	yes	characteristic
1146	C₂	—	4	2	no	—
1147	C₂	—	4	1	no	—
1148	C₂	—	8	1	no	—
1149	C₂	—	8	2	no	—
1150	C₂	—	8	1	no	—
1151	C₂	—	8	1	no	—
1152	C₂	C₁₃×#3500	1	1	yes	characteristic
1153	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1154	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3552	C₂	semidirect
2. C₁₃×#3546	C₂	semidirect
3. C₁₃×#3368	C₂	semidirect
4. C₁₃×#3367	C₂	semidirect
5. C₁₃×#3364	C₂	semidirect
6. C₁₃×#3358	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3330	C₂	semidirect
9. C₁₃×#3324	C₂	semidirect
10. C₁₃×#3322	C₂	semidirect
11. C₁₃×#3314	C₂	semidirect
12. C₁₃×#3309	C₂	semidirect
13. C₁₃×#3302	C₂	semidirect
14. C₁₃×#3294	C₂	semidirect
15. C₁₃×#3243	C₂	semidirect
16. C₁₃×#3226	C₂	semidirect
17. C₁₃×#3224	C₂	semidirect
18. C₁₃×#3212	C₂	semidirect
19. C₁₃×#3175	C₂	semidirect
20. C₁₃×#3171	C₂	semidirect
21. C₁₃×#3141	C₂	semidirect
22. C₁₃×#3136	C₂	semidirect
23. C₁₃×#2969	C₂	semidirect
26. C₁₃×#557	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
31. C₁₃×#553	C₂²	semidirect
35. D₄×Q₈×C₁₃	C₂²	semidirect
42. C₁₃×#544	C₂²	semidirect
44. C₁₃×#542	C₂²	semidirect
54. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
56. C₁₃×#529	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#500	C₂²	semidirect
60. C₁₃×#495	C₂²	semidirect
62. C₁₃×#490	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
65. C₁₃×#489	C₂²	semidirect
66. C₁₃×#489	C₂²	semidirect
68. C₁₃×#488	C₂²	semidirect
69. C₁₃×#487	C₂²	semidirect
70. C₁₃×#487	C₂²	semidirect
74. C₁₃×#486	C₂²	semidirect
75. C₁₃×#485	C₂²	semidirect
76. C₁₃×#484	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#477	C₂²	semidirect
86. C₁₃×#474	C₂²	semidirect
87. C₁₃×#474	C₂²	semidirect
88. C₁₃×#474	C₂²	semidirect
90. C₁₃×#469	C₂²	semidirect
93. C₁₃×#468	C₂²	semidirect
94. C₁₃×#468	C₂²	semidirect
95. C₁₃×#467	C₂²	semidirect
99. C₁₃×#462	C₂²	semidirect
100. C₁₃×#461	C₂²	semidirect
102. C₁₃×#460	C₂²	semidirect
104. C₁₃×#459	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
109. C₁₃×#449	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₈×Q₈×C₁₃	C₂²	semidirect
113. C₁₃×#440	C₂²	semidirect
114. C₁₃×#440	C₂²	semidirect
115. C₄×C₁₃×Q₁₆	C₂²	semidirect
117. C₄×C₁₃×SD₁₆	C₂²	semidirect
119. C₄×C₁₃×D₈	C₂²	semidirect
120. C₄×C₁₃×D₈	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
125. C₁₃×#433	C₂²	semidirect
126. C₁₃×#431	C₂²	semidirect
128. C₁₃×#417	C₂²	semidirect
129. C₁₃×#417	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
133. C₁₃×#405	C₂²	semidirect
134. C₄×C₁₃×M₁₆	C₂²	semidirect
312. #62618	C₁₃	direct (N × H)
450. #3552	C₂×C₁₃	semidirect
451. #3546	C₂×C₁₃	semidirect
452. #3368	C₂×C₁₃	semidirect
453. #3367	C₂×C₁₃	semidirect
454. #3364	C₂×C₁₃	semidirect
455. #3358	C₂×C₁₃	semidirect
456. #3333	C₂×C₁₃	semidirect
457. #3330	C₂×C₁₃	semidirect
458. #3324	C₂×C₁₃	semidirect
459. #3322	C₂×C₁₃	semidirect
460. #3314	C₂×C₁₃	semidirect
461. #3309	C₂×C₁₃	semidirect
462. #3302	C₂×C₁₃	semidirect
463. #3294	C₂×C₁₃	semidirect
464. #3243	C₂×C₁₃	semidirect
465. #3226	C₂×C₁₃	semidirect
466. #3224	C₂×C₁₃	semidirect
467. #3212	C₂×C₁₃	semidirect
468. #3175	C₂×C₁₃	semidirect
469. #3171	C₂×C₁₃	semidirect
470. #3141	C₂×C₁₃	semidirect
471. #3136	C₂×C₁₃	semidirect
472. #2969	C₂×C₁₃	semidirect
556. #557	C₂²×C₁₃	semidirect
559. #554	C₂²×C₁₃	semidirect
561. #553	C₂²×C₁₃	semidirect
565. D₄×Q₈	C₂²×C₁₃	semidirect
572. #544	C₂²×C₁₃	semidirect
574. #542	C₂²×C₁₃	semidirect
584. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
586. #529	C₂²×C₁₃	semidirect
587. #501	C₂²×C₁₃	semidirect
588. #500	C₂²×C₁₃	semidirect
590. #495	C₂²×C₁₃	semidirect
592. #490	C₂²×C₁₃	semidirect
594. #489	C₂²×C₁₃	semidirect
595. #489	C₂²×C₁₃	semidirect
596. #489	C₂²×C₁₃	semidirect
598. #488	C₂²×C₁₃	semidirect
599. #487	C₂²×C₁₃	semidirect
600. #487	C₂²×C₁₃	semidirect
604. #486	C₂²×C₁₃	semidirect
605. #485	C₂²×C₁₃	semidirect
606. #484	C₂²×C₁₃	semidirect
610. #480	C₂²×C₁₃	semidirect
611. #479	C₂²×C₁₃	semidirect
612. #478	C₂²×C₁₃	semidirect
613. #477	C₂²×C₁₃	semidirect
616. #474	C₂²×C₁₃	semidirect
617. #474	C₂²×C₁₃	semidirect
618. #474	C₂²×C₁₃	semidirect
620. #469	C₂²×C₁₃	semidirect
623. #468	C₂²×C₁₃	semidirect
624. #468	C₂²×C₁₃	semidirect
625. #467	C₂²×C₁₃	semidirect
629. #462	C₂²×C₁₃	semidirect
630. #461	C₂²×C₁₃	semidirect
632. #460	C₂²×C₁₃	semidirect
634. #459	C₂²×C₁₃	semidirect
635. #452	C₂²×C₁₃	semidirect
636. #452	C₂²×C₁₃	semidirect
638. #449	C₂²×C₁₃	semidirect
639. #449	C₂²×C₁₃	semidirect
641. #446	C₂²×C₁₃	semidirect
642. C₈×Q₈	C₂²×C₁₃	semidirect
643. #440	C₂²×C₁₃	semidirect
644. #440	C₂²×C₁₃	semidirect
645. C₄×Q₁₆	C₂²×C₁₃	semidirect
647. C₄×SD₁₆	C₂²×C₁₃	semidirect
649. C₄×D₈	C₂²×C₁₃	semidirect
650. C₄×D₈	C₂²×C₁₃	semidirect
652. #436	C₂²×C₁₃	semidirect
653. #435	C₂²×C₁₃	semidirect
655. #433	C₂²×C₁₃	semidirect
656. #431	C₂²×C₁₃	semidirect
658. #417	C₂²×C₁₃	semidirect
659. #417	C₂²×C₁₃	semidirect
660. #417	C₂²×C₁₃	semidirect
661. #416	C₂²×C₁₃	semidirect
663. #405	C₂²×C₁₃	semidirect
664. C₄×M₁₆	C₂²×C₁₃	semidirect
1026. C₁₃	#62618	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3552	2
C₁₃×#3546	2
C₁₃×#3368	2
C₁₃×#3367	2
C₁₃×#3364	2
C₁₃×#3358	2
C₁₃×#3333	2
C₁₃×#3330	2
C₁₃×#3324	2
C₁₃×#3322	2
C₁₃×#3314	2
C₁₃×#3309	2
C₁₃×#3302	2
C₁₃×#3294	2
C₁₃×#3243	2
C₁₃×#3226	2
C₁₃×#3224	2
C₁₃×#3212	2
C₁₃×#3175	2
C₁₃×#3171	2
C₁₃×#3141	2
C₁₃×#3136	2
C₁₃×#2969	2
#62618	13

Subgroups — C13×#62618 #15748957

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62618 #15748957