Subgroups — C₁₃×#61896 #15748235

Order 3328.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1138 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3219	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3214	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3115	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3111	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2983	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	C₂²	1	1	yes	characteristic
25	C₁₃×#559	C₂²	1	2	yes	—
26	C₁₃×#559	C₂²	1	2	yes	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
29	C₁₃×#557	C₂²	1	1	yes	characteristic
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	2	yes	—
32	C₁₃×#554	C₂²	1	1	yes	characteristic
33	C₁₃×#554	C₂²	1	2	yes	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#553	—	2	2	no	—
36	C₁₃×#550	C₂²	1	1	yes	characteristic
37	C₁₃×#550	C₂²	1	1	yes	characteristic
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#548	—	2	1	no	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#547	—	2	2	no	—
42	C₁₃×#542	—	2	1	no	—
43	C₁₃×#542	—	2	2	no	—
44	C₁₃×#532	C₂²	1	1	yes	characteristic
45	C₁₃×#532	C₂²	1	2	yes	—
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	2	yes	—
48	C₁₃×#529	—	2	1	no	—
49	C₁₃×#529	—	2	2	no	—
50	C₁₃×#529	C₂²	1	1	yes	characteristic
51	C₁₃×#529	C₂²	1	2	yes	—
52	C₁₃×#520	—	2	1	no	—
53	C₄×C₁₃×#41	—	2	1	no	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×#41	C₂²	1	2	yes	—
56	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#497	C₂²	1	2	yes	—
58	C₁₃×#496	C₂²	1	2	yes	—
59	C₁₃×#496	C₂²	1	2	yes	—
60	C₁₃×#496	C₂²	1	2	yes	—
61	C₁₃×#495	C₂²	1	2	yes	—
62	C₁₃×#493	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	—
65	C₁₃×#490	C₂²	1	2	yes	—
66	C₁₃×#489	C₂²	1	2	yes	—
67	C₁₃×#489	C₂²	1	2	yes	—
68	C₁₃×#488	C₂²	1	2	yes	—
69	C₁₃×#487	C₂²	1	1	yes	characteristic
70	C₁₃×#486	C₂²	1	1	yes	characteristic
71	C₁₃×#485	C₂²	1	1	yes	characteristic
72	C₁₃×#482	C₂²	1	1	yes	characteristic
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	1	yes	characteristic
75	C₁₃×#479	C₂²	1	2	yes	—
76	C₁₃×#478	C₂²	1	1	yes	characteristic
77	C₁₃×#478	C₂²	1	2	yes	—
78	C₁₃×#477	C₂²	1	1	yes	characteristic
79	C₁₃×#476	C₂²	1	1	yes	characteristic
80	C₁₃×#475	C₂²	1	2	yes	—
81	C₁₃×#474	C₂²	1	2	yes	—
82	C₁₃×#464	C₂²	1	1	yes	characteristic
83	C₁₃×#464	C₂²	1	2	yes	—
84	C₁₃×#464	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#463	C₂²	1	1	yes	characteristic
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	—
91	C₁₃×#463	C₂²	1	2	yes	—
92	C₁₃×#462	C₂²	1	1	yes	characteristic
93	C₁₃×#461	C₂²	1	1	yes	characteristic
94	C₁₃×#461	C₂²	1	2	yes	—
95	C₁₃×#461	C₂²	1	2	yes	—
96	C₁₃×#460	C₂²	1	1	yes	characteristic
97	C₁₃×#460	C₂²	1	2	yes	—
98	C₁₃×#460	C₂²	1	1	yes	characteristic
99	C₁₃×#459	C₂²	1	1	yes	characteristic
100	C₁₃×#459	C₂²	1	1	yes	characteristic
101	C₁₃×#459	C₂²	1	2	yes	—
102	C₁₃×#459	C₂²	1	2	yes	—
103	C₁₃×#459	C₂²	1	2	yes	—
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#449	C₂²	1	1	yes	characteristic
107	C₁₃×#449	C₂²	1	2	yes	—
108	C₁₃×#449	C₂²	1	2	yes	—
109	C₁₃×#449	C₂²	1	2	yes	—
110	C₁₃×#449	C₂²	1	2	yes	—
111	C₁₃×#446	C₂²	1	1	yes	characteristic
112	C₁₃×#446	C₂²	1	1	yes	characteristic
113	C₁₃×#446	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic
115	C₁₃×#446	C₂²	1	1	yes	characteristic
116	C₁₃×#446	C₂²	1	2	yes	—
117	C₁₃×#442	C₂²	1	2	yes	—
118	C₁₃×#442	C₂²	1	2	yes	—
119	C₁₃×#442	C₂²	1	2	yes	—
120	C₁₃×#441	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	—
122	C₁₃×#440	C₂²	1	2	yes	—
123	C₁₃×#440	C₂²	1	2	yes	—
124	C₁₃×#440	C₂²	1	2	yes	—
125	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
126	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
127	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
128	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
129	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
130	C₄×C₁₃×D₈	C₂²	1	2	yes	—
131	C₁₃×#432	C₂²	1	2	yes	—
132	C₁₃×#432	C₂²	1	2	yes	—
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
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	—	2	2	no	—
139	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
140	C₂×C₁₃×#41	C₂³	1	2	yes	—
141	C₂²×Q₈×C₁₃	D₄	1	1	yes	characteristic
142	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	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×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×D₈	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	2	no	—
158	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×#127	C₂³	1	2	yes	—
163	C₁₃×#127	C₂³	1	1	yes	characteristic
164	C₁₃×#127	C₂³	1	1	yes	characteristic
165	C₁₃×#127	C₂³	1	2	yes	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#125	—	2	1	no	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	C₂³	1	1	yes	characteristic
174	C₁₃×#125	C₂³	1	2	yes	—
175	C₁₃×#124	—	2	1	no	—
176	C₁₃×#124	—	2	2	no	—
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	—	2	2	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	1	no	—
181	C₁₃×#124	C₂³	1	2	yes	—
182	C₁₃×#124	C₂³	1	2	yes	—
183	C₁₃×#124	C₂³	1	2	yes	—
184	C₁₃×#124	C₂³	1	1	yes	characteristic
185	C₁₃×#124	C₂³	1	2	yes	—
186	C₁₃×#123	—	2	1	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	C₂³	1	1	yes	characteristic
213	C₁₃×#121	C₂³	1	2	yes	—
214	C₄×Q₈×C₁₃	—	2	1	no	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
217	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
218	C₄×Q₈×C₁₃	D₄	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
249	C₄×D₄×C₁₃	C₂³	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
262	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
264	C₂×C₄²×C₁₃	—	2	1	no	—
265	C₂×C₄²×C₁₃	—	2	2	no	—
266	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
267	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	2	yes	—
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#106	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	1	yes	characteristic
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
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	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×#97	C₂³	1	2	yes	—
306	C₁₃×#97	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	#61896	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₁₃×#41	—	4	1	no	—
314	C₁₃×#41	—	4	2	no	—
315	C₁₃×#41	—	4	1	no	—
316	C₁₃×#41	—	4	2	no	—
317	C₁₃×#41	—	4	4	no	—
318	C₁₃×#41	—	4	4	no	—
319	C₁₃×#41	—	8	2	no	—
320	C₁₃×#41	—	8	4	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	4	2	no	—
324	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
325	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
327	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	2	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	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	1	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
344	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
360	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₁₃×Q₁₆	—	4	2	no	—
363	C₁₃×Q₁₆	—	4	1	no	—
364	C₁₃×SD₁₆	—	4	1	no	—
365	C₁₃×SD₁₆	—	4	1	no	—
366	C₁₃×SD₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	—	4	2	no	—
368	C₁₃×SD₁₆	—	4	2	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×D₈	—	4	2	no	—
372	C₁₃×D₈	—	4	2	no	—
373	C₁₃×D₈	—	4	1	no	—
374	C₁₃×D₈	—	4	2	no	—
375	C₁₃×D₈	—	4	2	no	—
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
378	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₂²⋊C₄	—	2	1	no	—
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	1	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	1	no	—
436	C₄²×C₁₃	—	2	2	no	—
437	C₄²×C₁₃	—	2	2	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	2	no	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
442	C₄²×C₁₃	C₂×D₄	1	2	yes	—
443	C₄²×C₁₃	C₂×D₄	1	2	yes	—
444	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
447	C₄²×C₁₃	C₂⁴	1	2	yes	—
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	#3522	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3403	C₂×C₁₃	1	2	yes	complemented
452	#3401	C₂×C₁₃	1	2	yes	complemented
453	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3376	C₂×C₁₃	1	2	yes	complemented
458	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3370	C₂×C₁₃	1	2	yes	complemented
461	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3219	C₂×C₁₃	1	2	yes	complemented
464	#3214	C₂×C₁₃	1	2	yes	complemented
465	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3115	C₂×C₁₃	1	2	yes	complemented
468	#3111	C₂×C₁₃	1	2	yes	complemented
469	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2983	C₂×C₁₃	1	1	yes	characteristic, complemented
472	C₂³×C₁₃	—	2	1	no	—
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	2	2	no	—
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	Q₈×C₁₃	—	2	2	no	—
478	Q₈×C₁₃	—	2	2	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	4	2	no	—
486	Q₈×C₁₃	—	8	2	no	—
487	Q₈×C₁₃	—	8	1	no	—
488	D₄×C₁₃	—	2	1	no	—
489	D₄×C₁₃	—	2	2	no	—
490	D₄×C₁₃	—	2	1	no	—
491	D₄×C₁₃	—	2	2	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	4	4	no	—
497	D₄×C₁₃	—	4	4	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	4	4	no	—
500	D₄×C₁₃	—	4	4	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	8	2	no	—
505	D₄×C₁₃	—	8	1	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	1	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	4	1	no	—
521	C₂×C₄×C₁₃	—	4	2	no	—
522	C₂×C₄×C₁₃	—	4	2	no	—
523	C₂×C₄×C₁₃	—	4	4	no	—
524	C₂×C₄×C₁₃	—	4	4	no	—
525	C₂×C₄×C₁₃	—	4	4	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	8	1	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
535	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
543	C₈×C₁₃	—	2	1	no	—
544	C₈×C₁₃	—	2	1	no	—
545	C₈×C₁₃	—	2	2	no	—
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	—	2	2	no	—
548	C₈×C₁₃	—	2	1	no	—
549	#559	C₂²×C₁₃	1	2	yes	—
550	#559	C₂²×C₁₃	1	1	yes	characteristic
551	#559	C₂²×C₁₃	1	1	yes	characteristic
552	#559	C₂²×C₁₃	1	2	yes	—
553	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
554	#557	C₂²×C₁₃	1	1	yes	characteristic
555	#556	C₂²×C₁₃	1	1	yes	characteristic
556	#556	C₂²×C₁₃	1	2	yes	—
557	#554	C₂²×C₁₃	1	1	yes	characteristic
558	#554	C₂²×C₁₃	1	2	yes	—
559	#553	—	2	1	no	—
560	#553	—	2	2	no	—
561	#550	C₂²×C₁₃	1	1	yes	characteristic
562	#550	C₂²×C₁₃	1	1	yes	characteristic
563	#548	—	2	1	no	—
564	#548	—	2	1	no	—
565	#547	—	2	1	no	—
566	#547	—	2	2	no	—
567	#542	—	2	1	no	—
568	#542	—	2	2	no	—
569	#532	C₂²×C₁₃	1	1	yes	characteristic
570	#532	C₂²×C₁₃	1	2	yes	—
571	#532	C₂²×C₁₃	1	1	yes	characteristic
572	#532	C₂²×C₁₃	1	2	yes	—
573	#529	—	2	1	no	—
574	#529	—	2	2	no	—
575	#529	C₂²×C₁₃	1	1	yes	characteristic
576	#529	C₂²×C₁₃	1	2	yes	—
577	#520	—	2	1	no	—
578	C₄×#41	—	2	1	no	—
579	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
580	C₄×#41	C₂²×C₁₃	1	2	yes	—
581	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
582	#497	C₂²×C₁₃	1	2	yes	—
583	#496	C₂²×C₁₃	1	2	yes	—
584	#496	C₂²×C₁₃	1	2	yes	—
585	#496	C₂²×C₁₃	1	2	yes	—
586	#495	C₂²×C₁₃	1	2	yes	—
587	#493	C₂²×C₁₃	1	1	yes	characteristic
588	#492	C₂²×C₁₃	1	1	yes	characteristic
589	#491	C₂²×C₁₃	1	2	yes	—
590	#490	C₂²×C₁₃	1	2	yes	—
591	#489	C₂²×C₁₃	1	2	yes	—
592	#489	C₂²×C₁₃	1	2	yes	—
593	#488	C₂²×C₁₃	1	2	yes	—
594	#487	C₂²×C₁₃	1	1	yes	characteristic
595	#486	C₂²×C₁₃	1	1	yes	characteristic
596	#485	C₂²×C₁₃	1	1	yes	characteristic
597	#482	C₂²×C₁₃	1	1	yes	characteristic
598	#482	C₂²×C₁₃	1	2	yes	—
599	#479	C₂²×C₁₃	1	1	yes	characteristic
600	#479	C₂²×C₁₃	1	2	yes	—
601	#478	C₂²×C₁₃	1	1	yes	characteristic
602	#478	C₂²×C₁₃	1	2	yes	—
603	#477	C₂²×C₁₃	1	1	yes	characteristic
604	#476	C₂²×C₁₃	1	1	yes	characteristic
605	#475	C₂²×C₁₃	1	2	yes	—
606	#474	C₂²×C₁₃	1	2	yes	—
607	#464	C₂²×C₁₃	1	1	yes	characteristic
608	#464	C₂²×C₁₃	1	2	yes	—
609	#464	C₂²×C₁₃	1	2	yes	—
610	#464	C₂²×C₁₃	1	2	yes	—
611	#463	C₂²×C₁₃	1	1	yes	characteristic
612	#463	C₂²×C₁₃	1	2	yes	—
613	#463	C₂²×C₁₃	1	2	yes	—
614	#463	C₂²×C₁₃	1	2	yes	—
615	#463	C₂²×C₁₃	1	2	yes	—
616	#463	C₂²×C₁₃	1	2	yes	—
617	#462	C₂²×C₁₃	1	1	yes	characteristic
618	#461	C₂²×C₁₃	1	1	yes	characteristic
619	#461	C₂²×C₁₃	1	2	yes	—
620	#461	C₂²×C₁₃	1	2	yes	—
621	#460	C₂²×C₁₃	1	1	yes	characteristic
622	#460	C₂²×C₁₃	1	2	yes	—
623	#460	C₂²×C₁₃	1	1	yes	characteristic
624	#459	C₂²×C₁₃	1	1	yes	characteristic
625	#459	C₂²×C₁₃	1	1	yes	characteristic
626	#459	C₂²×C₁₃	1	2	yes	—
627	#459	C₂²×C₁₃	1	2	yes	—
628	#459	C₂²×C₁₃	1	2	yes	—
629	#452	C₂²×C₁₃	1	1	yes	characteristic
630	#452	C₂²×C₁₃	1	2	yes	—
631	#449	C₂²×C₁₃	1	1	yes	characteristic
632	#449	C₂²×C₁₃	1	2	yes	—
633	#449	C₂²×C₁₃	1	2	yes	—
634	#449	C₂²×C₁₃	1	2	yes	—
635	#449	C₂²×C₁₃	1	2	yes	—
636	#446	C₂²×C₁₃	1	1	yes	characteristic
637	#446	C₂²×C₁₃	1	1	yes	characteristic
638	#446	C₂²×C₁₃	1	2	yes	—
639	#446	C₂²×C₁₃	1	1	yes	characteristic
640	#446	C₂²×C₁₃	1	1	yes	characteristic
641	#446	C₂²×C₁₃	1	2	yes	—
642	#442	C₂²×C₁₃	1	2	yes	—
643	#442	C₂²×C₁₃	1	2	yes	—
644	#442	C₂²×C₁₃	1	2	yes	—
645	#441	C₂²×C₁₃	1	2	yes	—
646	#440	C₂²×C₁₃	1	2	yes	—
647	#440	C₂²×C₁₃	1	2	yes	—
648	#440	C₂²×C₁₃	1	2	yes	—
649	#440	C₂²×C₁₃	1	2	yes	—
650	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
651	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
652	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
653	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
654	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
655	C₄×D₈	C₂²×C₁₃	1	2	yes	—
656	#432	C₂²×C₁₃	1	2	yes	—
657	#432	C₂²×C₁₃	1	2	yes	—
658	#431	C₂²×C₁₃	1	1	yes	characteristic
659	#431	C₂²×C₁₃	1	1	yes	characteristic
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	4	2	no	—
664	C₂²×C₁₃	—	4	1	no	—
665	C₂²×C₁₃	—	4	1	no	—
666	C₂²×C₁₃	—	4	2	no	—
667	C₂²×C₁₃	—	4	2	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	4	2	no	—
671	C₂²×C₁₃	—	4	2	no	—
672	C₂²×C₁₃	—	4	2	no	—
673	C₂²×C₁₃	—	4	1	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	2	2	no	—
678	C₄×C₁₃	—	2	2	no	—
679	C₄×C₁₃	—	2	1	no	—
680	C₄×C₁₃	—	2	1	no	—
681	C₄×C₁₃	—	2	1	no	—
682	C₄×C₁₃	—	2	2	no	—
683	C₄×C₁₃	—	2	2	no	—
684	C₄×C₁₃	—	4	1	no	—
685	C₄×C₁₃	—	4	2	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	—	4	2	no	—
689	C₄×C₁₃	—	4	1	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	#575	1	2	yes	—
693	C₄×C₁₃	#585	1	1	yes	characteristic
694	C₄×C₁₃	#585	1	1	yes	characteristic
695	C₂×#41	—	2	1	no	—
696	C₂×#41	—	2	1	no	—
697	C₂×#41	—	2	1	no	—
698	C₂×#41	—	2	2	no	—
699	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
700	C₂×#41	C₂³×C₁₃	1	2	yes	—
701	C₂²×Q₈	D₄×C₁₃	1	1	yes	characteristic
702	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
707	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×D₈	C₂³×C₁₃	1	2	yes	—
713	C₂×D₈	C₂³×C₁₃	1	2	yes	—
714	C₂×D₈	C₂³×C₁₃	1	2	yes	—
715	C₂×D₈	C₂³×C₁₃	1	2	yes	—
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
719	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
721	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
722	#127	C₂³×C₁₃	1	2	yes	—
723	#127	C₂³×C₁₃	1	1	yes	characteristic
724	#127	C₂³×C₁₃	1	1	yes	characteristic
725	#127	C₂³×C₁₃	1	2	yes	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	1	no	—
731	#125	—	2	1	no	—
732	#125	—	2	2	no	—
733	#125	C₂³×C₁₃	1	1	yes	characteristic
734	#125	C₂³×C₁₃	1	2	yes	—
735	#124	—	2	1	no	—
736	#124	—	2	2	no	—
737	#124	—	2	1	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	2	1	no	—
741	#124	C₂³×C₁₃	1	1	yes	characteristic
742	#124	C₂³×C₁₃	1	2	yes	—
743	#124	C₂³×C₁₃	1	2	yes	—
744	#124	C₂³×C₁₃	1	2	yes	—
745	#124	C₂³×C₁₃	1	2	yes	—
746	#123	—	2	1	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
762	#121	—	2	1	no	—
763	#121	—	2	2	no	—
764	#121	—	2	1	no	—
765	#121	—	2	2	no	—
766	#121	—	2	1	no	—
767	#121	—	2	2	no	—
768	#121	—	2	1	no	—
769	#121	—	2	2	no	—
770	#121	—	2	1	no	—
771	#121	—	2	2	no	—
772	#121	C₂³×C₁₃	1	1	yes	characteristic
773	#121	C₂³×C₁₃	1	2	yes	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
777	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
778	C₄×Q₈	D₄×C₁₃	1	2	yes	—
779	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
783	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
785	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	1	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	2	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	2	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×D₄	C₂³×C₁₃	1	2	yes	—
806	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
807	C₄×D₄	C₂³×C₁₃	1	2	yes	—
808	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
809	C₄×D₄	C₂³×C₁₃	1	2	yes	—
810	C₄×D₄	C₂³×C₁₃	1	2	yes	—
811	C₄×D₄	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	C₂³×C₁₃	1	2	yes	—
813	#117	—	2	1	no	—
814	#117	—	2	2	no	—
815	#117	—	2	2	no	—
816	#117	—	2	1	no	—
817	#117	—	2	1	no	—
818	#117	—	2	2	no	—
819	#117	C₂³×C₁₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	—	2	1	no	—
821	C₂×C₄⋊C₄	—	2	2	no	—
822	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
824	C₂×C₄²	—	2	1	no	—
825	C₂×C₄²	—	2	2	no	—
826	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
827	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
828	#107	C₂³×C₁₃	1	2	yes	—
829	#107	C₂³×C₁₃	1	1	yes	characteristic
830	#107	C₂³×C₁₃	1	1	yes	characteristic
831	#106	C₂³×C₁₃	1	2	yes	—
832	#106	C₂³×C₁₃	1	1	yes	characteristic
833	#106	C₂³×C₁₃	1	1	yes	characteristic
834	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
835	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
839	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
840	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
841	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	1	yes	characteristic
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	1	yes	characteristic
845	#103	C₂³×C₁₃	1	1	yes	characteristic
846	#103	C₂³×C₁₃	1	1	yes	characteristic
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	#102	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	1	yes	characteristic
853	#102	C₂³×C₁₃	1	2	yes	—
854	#102	C₂³×C₁₃	1	1	yes	characteristic
855	#102	C₂³×C₁₃	1	1	yes	characteristic
856	#102	C₂³×C₁₃	1	2	yes	—
857	#102	C₂³×C₁₃	1	1	yes	characteristic
858	#102	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
865	#97	C₂³×C₁₃	1	2	yes	—
866	#97	C₂³×C₁₃	1	2	yes	—
867	#97	C₂³×C₁₃	1	2	yes	—
868	#97	C₂³×C₁₃	1	2	yes	—
869	C₄×C₈	C₂³×C₁₃	1	2	yes	—
870	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
871	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
872	C₂×C₁₃	—	4	1	no	—
873	C₂×C₁₃	—	8	1	no	—
874	C₂×C₁₃	—	8	2	no	—
875	C₂×C₁₃	—	8	2	no	—
876	C₂×C₁₃	—	8	1	no	—
877	C₂×C₁₃	#3487	1	1	yes	characteristic
878	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
879	C₂×C₁₃	#3585	1	1	yes	characteristic
880	#41	—	4	1	no	—
881	#41	—	4	2	no	—
882	#41	—	4	1	no	—
883	#41	—	4	2	no	—
884	#41	—	4	4	no	—
885	#41	—	4	4	no	—
886	#41	—	8	2	no	—
887	#41	—	8	4	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	—	4	2	no	—
891	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
892	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
893	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
894	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
896	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₂×D₄	—	2	1	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
911	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	2	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
925	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
926	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
927	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
928	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
929	Q₁₆	—	4	2	no	—
930	Q₁₆	—	4	1	no	—
931	SD₁₆	—	4	1	no	—
932	SD₁₆	—	4	1	no	—
933	SD₁₆	—	4	2	no	—
934	SD₁₆	—	4	2	no	—
935	SD₁₆	—	4	2	no	—
936	SD₁₆	—	4	2	no	—
937	SD₁₆	—	4	2	no	—
938	D₈	—	4	2	no	—
939	D₈	—	4	2	no	—
940	D₈	—	4	1	no	—
941	D₈	—	4	2	no	—
942	D₈	—	4	2	no	—
943	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
945	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
946	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	2	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
968	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
975	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₂²⋊C₄	—	2	1	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	1	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	2	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1010	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1011	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₄²	C₂⁴×C₁₃	1	2	yes	—
1015	C₄²	C₂⁴×C₁₃	1	2	yes	—
1016	C₁₃	#61896	1	1	yes	characteristic, direct product factor, Sylow
1017	C₂³	—	2	2	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	2	no	—
1024	Q₈	—	2	1	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	2	1	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	2	no	—
1030	Q₈	—	4	2	no	—
1031	Q₈	—	8	2	no	—
1032	Q₈	—	8	1	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	2	2	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	2	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	2	1	no	—
1040	D₄	—	2	1	no	—
1041	D₄	—	4	4	no	—
1042	D₄	—	4	4	no	—
1043	D₄	—	4	2	no	—
1044	D₄	—	4	4	no	—
1045	D₄	—	4	4	no	—
1046	D₄	—	4	2	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	8	2	no	—
1050	D₄	—	8	1	no	—
1051	D₄	—	8	2	no	—
1052	D₄	—	8	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	4	1	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	4	4	no	—
1068	C₂×C₄	—	4	4	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	4	4	no	—
1071	C₂×C₄	—	4	2	no	—
1072	C₂×C₄	—	4	2	no	—
1073	C₂×C₄	—	8	1	no	—
1074	C₂×C₄	—	8	2	no	—
1075	C₂×C₄	—	8	2	no	—
1076	C₂×C₄	—	8	2	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1079	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1080	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1081	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1082	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1083	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1084	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1085	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1086	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1087	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1088	C₈	—	2	1	no	—
1089	C₈	—	2	1	no	—
1090	C₈	—	2	2	no	—
1091	C₈	—	2	1	no	—
1092	C₈	—	2	2	no	—
1093	C₈	—	2	1	no	—
1094	C₂²	—	2	1	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1110	C₄	—	2	1	no	—
1111	C₄	—	2	2	no	—
1112	C₄	—	2	2	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	2	1	no	—
1117	C₄	—	2	1	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	2	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	2	no	—
1125	C₄	—	4	1	no	—
1126	C₄	C₁₃×#575	1	2	yes	—
1127	C₄	C₁₃×#585	1	1	yes	characteristic
1128	C₄	C₁₃×#585	1	1	yes	characteristic
1129	C₂	—	4	1	no	—
1130	C₂	—	8	2	no	—
1131	C₂	—	8	1	no	—
1132	C₂	—	8	2	no	—
1133	C₂	—	8	1	no	—
1134	C₂	C₁₃×#3487	1	1	yes	characteristic
1135	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1136	C₂	C₁₃×#3585	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 ◁ C₂×C₄×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3522	C₂	semidirect
2. C₁₃×#3480	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3401	C₂	semidirect
5. C₁₃×#3400	C₂	semidirect
6. C₁₃×#3399	C₂	semidirect
7. C₁₃×#3399	C₂	semidirect
8. C₁₃×#3397	C₂	semidirect
9. C₁₃×#3376	C₂	semidirect
10. C₁₃×#3375	C₂	semidirect
11. C₁₃×#3372	C₂	semidirect
12. C₁₃×#3370	C₂	semidirect
13. C₁₃×#3369	C₂	semidirect
14. C₁₃×#3366	C₂	semidirect
15. C₁₃×#3219	C₂	semidirect
16. C₁₃×#3214	C₂	semidirect
17. C₁₃×#3212	C₂	semidirect
18. C₁₃×#3207	C₂	semidirect
19. C₁₃×#3115	C₂	semidirect
20. C₁₃×#3111	C₂	semidirect
21. C₁₃×#3106	C₂	semidirect
22. C₁₃×#3102	C₂	semidirect
23. C₁₃×#2983	C₂	semidirect
312. #61896	C₁₃	direct (N × H)
449. #3522	C₂×C₁₃	semidirect
450. #3480	C₂×C₁₃	semidirect
451. #3403	C₂×C₁₃	semidirect
452. #3401	C₂×C₁₃	semidirect
453. #3400	C₂×C₁₃	semidirect
454. #3399	C₂×C₁₃	semidirect
455. #3399	C₂×C₁₃	semidirect
456. #3397	C₂×C₁₃	semidirect
457. #3376	C₂×C₁₃	semidirect
458. #3375	C₂×C₁₃	semidirect
459. #3372	C₂×C₁₃	semidirect
460. #3370	C₂×C₁₃	semidirect
461. #3369	C₂×C₁₃	semidirect
462. #3366	C₂×C₁₃	semidirect
463. #3219	C₂×C₁₃	semidirect
464. #3214	C₂×C₁₃	semidirect
465. #3212	C₂×C₁₃	semidirect
466. #3207	C₂×C₁₃	semidirect
467. #3115	C₂×C₁₃	semidirect
468. #3111	C₂×C₁₃	semidirect
469. #3106	C₂×C₁₃	semidirect
470. #3102	C₂×C₁₃	semidirect
471. #2983	C₂×C₁₃	semidirect
1016. C₁₃	#61896	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×#3522	2
C₁₃×#3480	2
C₁₃×#3403	2
C₁₃×#3401	2
C₁₃×#3400	2
C₁₃×#3399	2
C₁₃×#3397	2
C₁₃×#3376	2
C₁₃×#3375	2
C₁₃×#3372	2
C₁₃×#3370	2
C₁₃×#3369	2
C₁₃×#3366	2
C₁₃×#3219	2
C₁₃×#3214	2
C₁₃×#3212	2
C₁₃×#3207	2
C₁₃×#3115	2
C₁₃×#3111	2
C₁₃×#3106	2
C₁₃×#3102	2
C₁₃×#2983	2
#61896	13

Subgroups — C13×#61896 #15748235

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61896 #15748235