Subgroups — C₁₃×#62141 #15748480

Order 3328.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3385	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3349	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3348	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3341	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3340	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3240	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3111	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3076	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
25	C₁₃×#556	—	2	2	no	—
26	C₁₃×#556	—	2	1	no	—
27	C₁₃×#556	C₂²	1	1	yes	characteristic
28	C₁₃×#556	C₂²	1	2	yes	—
29	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#555	C₂²	1	2	yes	—
31	C₁₃×#555	C₂²	1	1	yes	characteristic
32	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#552	C₂²	1	2	yes	—
37	C₁₃×#551	—	2	2	no	—
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#548	—	2	1	no	—
40	C₁₃×#547	C₂²	1	1	yes	characteristic
41	C₁₃×#546	C₂²	1	2	yes	—
42	C₁₃×#542	—	2	1	no	—
43	C₁₃×#542	—	2	2	no	—
44	C₁₃×#533	C₂²	1	1	yes	characteristic
45	C₁₃×#533	C₂²	1	1	yes	characteristic
46	C₁₃×#533	C₂²	1	2	yes	complemented
47	C₁₃×#529	—	2	2	no	—
48	C₁₃×#529	C₂²	1	1	yes	characteristic
49	C₁₃×#529	C₂²	1	2	yes	—
50	C₁₃×#529	C₂²	1	2	yes	complemented
51	C₁₃×#525	—	2	1	no	—
52	C₁₃×#519	—	2	1	no	—
53	C₄×C₁₃×#41	C₂²	1	2	yes	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#117	—	2	1	no	—
57	C₁₃×#501	C₂²	1	2	yes	complemented
58	C₁₃×#501	C₂²	1	2	yes	complemented
59	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#489	C₂²	1	2	yes	—
62	C₁₃×#489	C₂²	1	2	yes	—
63	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#485	C₂²	1	2	yes	—
66	C₁₃×#485	C₂²	1	2	yes	—
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#485	C₂²	1	2	yes	complemented
70	C₁₃×#484	C₂²	1	1	yes	characteristic
71	C₁₃×#482	C₂²	1	2	yes	—
72	C₁₃×#482	C₂²	1	2	yes	—
73	C₁₃×#482	C₂²	1	2	yes	complemented
74	C₁₃×#481	C₂²	1	1	yes	characteristic
75	C₁₃×#479	C₂²	1	2	yes	complemented
76	C₁₃×#479	C₂²	1	2	yes	complemented
77	C₁₃×#479	C₂²	1	2	yes	complemented
78	C₁₃×#479	C₂²	1	2	yes	complemented
79	C₁₃×#478	C₂²	1	1	yes	characteristic
80	C₁₃×#478	C₂²	1	2	yes	—
81	C₁₃×#478	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	1	yes	characteristic
83	C₁₃×#478	C₂²	1	2	yes	complemented
84	C₁₃×#477	C₂²	1	2	yes	complemented
85	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#476	C₂²	1	1	yes	characteristic
87	C₁₃×#476	C₂²	1	2	yes	—
88	C₁₃×#476	C₂²	1	1	yes	characteristic
89	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#475	C₂²	1	2	yes	complemented
91	C₁₃×#474	C₂²	1	1	yes	characteristic
92	C₁₃×#474	C₂²	1	2	yes	—
93	C₁₃×#474	C₂²	1	1	yes	characteristic
94	C₁₃×#470	C₂²	1	2	yes	—
95	C₁₃×#468	C₂²	1	2	yes	—
96	C₁₃×#467	C₂²	1	2	yes	complemented
97	C₁₃×#466	C₂²	1	2	yes	—
98	C₁₃×#465	C₂²	1	2	yes	—
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#464	C₂²	1	2	yes	—
101	C₁₃×#464	C₂²	1	2	yes	complemented
102	C₁₃×#463	C₂²	1	2	yes	—
103	C₁₃×#463	C₂²	1	1	yes	characteristic
104	C₁₃×#463	C₂²	1	1	yes	characteristic
105	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#452	C₂²	1	2	yes	—
108	C₁₃×#450	C₂²	1	1	yes	characteristic
109	C₁₃×#449	C₂²	1	2	yes	—
110	C₁₃×#447	C₂²	1	1	yes	characteristic
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#442	C₂²	1	2	yes	—
114	C₁₃×#441	C₂²	1	2	yes	complemented
115	C₁₃×#440	C₂²	1	2	yes	—
116	C₁₃×#440	C₂²	1	2	yes	complemented
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₁₃×#435	C₂²	1	2	yes	—
122	C₁₃×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#432	C₂²	1	2	yes	complemented
126	C₁₃×#431	C₂²	1	1	yes	characteristic
127	C₁₃×#428	C₂²	1	2	yes	—
128	C₁₃×#427	C₂²	1	2	yes	complemented
129	C₁₃×#427	C₂²	1	2	yes	complemented
130	C₁₃×#423	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
132	C₁₃×#418	C₂²	1	2	yes	—
133	C₁₃×#416	C₂²	1	2	yes	—
134	C₁₃×#416	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
136	C₂×C₁₃×#41	C₂³	1	2	yes	—
137	C₂²×Q₈×C₁₃	—	2	1	no	—
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	—	2	1	no	—
140	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
141	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
147	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
148	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
149	C₁₃×C₄⋊Q₈	—	2	1	no	—
150	C₁₃×C₄⋊Q₈	—	2	2	no	—
151	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
152	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
157	C₁₃×#126	—	2	2	no	—
158	C₁₃×#126	—	2	2	no	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	—	2	2	no	—
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	1	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#125	—	2	2	no	—
166	C₁₃×#125	—	2	1	no	—
167	C₁₃×#125	C₂³	1	1	yes	characteristic
168	C₁₃×#125	C₂³	1	2	yes	—
169	C₁₃×#125	C₂³	1	2	yes	—
170	C₁₃×#124	—	2	2	no	—
171	C₁₃×#124	—	2	1	no	—
172	C₁₃×#124	—	2	2	no	—
173	C₁₃×#124	—	2	2	no	—
174	C₁₃×#124	—	2	2	no	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#124	C₂³	1	1	yes	characteristic
177	C₁₃×#124	C₂³	1	2	yes	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	1	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	—	2	1	no	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	1	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	1	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
195	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	1	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	C₂³	1	1	yes	characteristic
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#120	—	2	2	no	—
207	C₄×Q₈×C₁₃	—	2	1	no	—
208	C₄×Q₈×C₁₃	—	2	2	no	—
209	C₄×Q₈×C₁₃	—	2	1	no	—
210	C₄×Q₈×C₁₃	—	2	1	no	—
211	C₄×Q₈×C₁₃	—	2	2	no	—
212	C₄×Q₈×C₁₃	—	2	1	no	—
213	C₄×Q₈×C₁₃	—	2	1	no	—
214	C₄×Q₈×C₁₃	—	2	2	no	—
215	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
216	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×D₄×C₁₃	—	2	2	no	—
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	D₄	1	2	yes	—
229	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
230	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	C₂³	1	2	yes	—
234	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₁₃×#117	—	2	1	no	—
240	C₁₃×#117	—	2	1	no	—
241	C₁₃×#117	—	2	1	no	—
242	C₁₃×#117	—	2	2	no	—
243	C₁₃×#117	—	2	1	no	—
244	C₁₃×#117	—	2	2	no	—
245	C₁₃×#117	—	2	2	no	—
246	C₁₃×#117	—	2	2	no	—
247	C₁₃×#117	—	2	1	no	—
248	C₁₃×#117	—	2	2	no	—
249	C₁₃×#117	D₄	1	1	yes	characteristic
250	C₁₃×#117	D₄	1	2	yes	—
251	C₁₃×#117	C₂³	1	2	yes	—
252	C₁₃×#117	C₂³	1	2	yes	—
253	C₁₃×#117	C₂³	1	2	yes	—
254	C₁₃×#117	C₂³	1	2	yes	—
255	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
256	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
259	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
260	C₂×C₄²×C₁₃	—	2	2	no	—
261	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
262	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
263	C₁₃×#107	C₂³	1	1	yes	characteristic
264	C₁₃×#107	C₂³	1	2	yes	—
265	C₁₃×#107	C₂³	1	2	yes	—
266	C₁₃×#107	C₂³	1	2	yes	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#106	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	2	yes	—
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	1	yes	characteristic
276	C₁₃×#106	C₂³	1	2	yes	—
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	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×#103	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#102	C₂³	1	1	yes	characteristic
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	#62141	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	1	no	—
314	C₁₃×#41	—	2	4	no	—
315	C₁₃×#41	—	4	2	no	—
316	C₁₃×#41	—	4	2	no	—
317	C₂×Q₈×C₁₃	—	2	2	no	—
318	C₂×Q₈×C₁₃	—	2	1	no	—
319	C₂×Q₈×C₁₃	—	2	1	no	—
320	C₂×Q₈×C₁₃	—	2	2	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	4	4	no	—
323	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
325	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₁₃	—	2	2	no	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	4	1	no	—
333	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
334	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
335	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
338	C₂²×C₄×C₁₃	—	2	1	no	—
339	C₂²×C₄×C₁₃	—	2	1	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	1	no	—
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	4	4	no	—
348	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
351	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
354	C₁₃×Q₁₆	—	4	2	no	—
355	C₁₃×SD₁₆	—	2	2	no	—
356	C₁₃×SD₁₆	—	4	1	no	—
357	C₁₃×SD₁₆	—	4	2	no	—
358	C₁₃×D₈	—	2	2	no	—
359	C₁₃×D₈	—	4	1	no	—
360	C₁₃×M₁₆	—	4	2	no	—
361	C₂×C₈×C₁₃	—	4	2	no	—
362	C₂×C₈×C₁₃	—	4	2	no	—
363	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
368	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
369	C₁₃×C₄⋊C₄	—	2	1	no	—
370	C₁₃×C₄⋊C₄	—	2	1	no	—
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	2	no	—
373	C₁₃×C₄⋊C₄	—	2	1	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	1	no	—
378	C₁₃×C₄⋊C₄	—	2	1	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	1	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	C₂×D₄	1	1	yes	characteristic
392	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
393	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
394	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
395	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
396	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
397	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
398	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
399	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	2	no	—
404	C₁₃×C₂²⋊C₄	—	2	2	no	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
406	C₁₃×C₂²⋊C₄	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	2	no	—
408	C₁₃×C₂²⋊C₄	—	2	1	no	—
409	C₁₃×C₂²⋊C₄	—	2	2	no	—
410	C₁₃×C₂²⋊C₄	—	2	1	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	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	C₂×D₄	1	2	yes	—
425	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
426	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	—	2	2	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	2	no	—
432	C₄²×C₁₃	—	2	2	no	—
433	C₄²×C₁₃	—	2	2	no	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	C₂×D₄	1	2	yes	—
436	C₄²×C₁₃	C₂×D₄	1	2	yes	—
437	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
438	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
439	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₄²×C₁₃	C₂⁴	1	2	yes	—
441	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
442	#3518	C₂×C₁₃	1	1	yes	characteristic, complemented
443	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
444	#3385	C₂×C₁₃	1	1	yes	characteristic, complemented
445	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
446	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3349	C₂×C₁₃	1	2	yes	complemented
449	#3348	C₂×C₁₃	1	2	yes	complemented
450	#3341	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3340	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3319	C₂×C₁₃	1	2	yes	complemented
453	#3311	C₂×C₁₃	1	2	yes	complemented
454	#3303	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3250	C₂×C₁₃	1	2	yes	complemented
458	#3240	C₂×C₁₃	1	2	yes	complemented
459	#3231	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3111	C₂×C₁₃	1	2	yes	complemented
461	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3076	C₂×C₁₃	1	2	yes	complemented
464	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
465	C₂³×C₁₃	—	2	1	no	—
466	C₂³×C₁₃	—	2	1	no	—
467	C₂³×C₁₃	—	2	1	no	—
468	C₂³×C₁₃	—	4	2	no	—
469	C₂³×C₁₃	—	4	2	no	—
470	C₂³×C₁₃	—	8	1	no	—
471	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
472	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
473	Q₈×C₁₃	—	2	2	no	—
474	Q₈×C₁₃	—	2	1	no	—
475	Q₈×C₁₃	—	2	2	no	—
476	Q₈×C₁₃	—	2	1	no	—
477	Q₈×C₁₃	—	2	2	no	—
478	Q₈×C₁₃	—	4	4	no	—
479	Q₈×C₁₃	—	4	2	no	—
480	Q₈×C₁₃	—	8	2	no	—
481	Q₈×C₁₃	—	8	1	no	—
482	Q₈×C₁₃	—	8	1	no	—
483	D₄×C₁₃	—	2	2	no	—
484	D₄×C₁₃	—	2	1	no	—
485	D₄×C₁₃	—	2	1	no	—
486	D₄×C₁₃	—	2	1	no	—
487	D₄×C₁₃	—	2	1	no	—
488	D₄×C₁₃	—	2	1	no	—
489	D₄×C₁₃	—	4	2	no	—
490	D₄×C₁₃	—	4	2	no	—
491	D₄×C₁₃	—	4	4	no	—
492	D₄×C₁₃	—	8	2	no	—
493	D₄×C₁₃	—	8	2	no	—
494	D₄×C₁₃	—	8	1	no	—
495	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	4	2	no	—
511	C₂×C₄×C₁₃	—	4	1	no	—
512	C₂×C₄×C₁₃	—	4	2	no	—
513	C₂×C₄×C₁₃	—	4	4	no	—
514	C₂×C₄×C₁₃	—	4	2	no	—
515	C₂×C₄×C₁₃	—	4	2	no	—
516	C₂×C₄×C₁₃	—	4	4	no	—
517	C₂×C₄×C₁₃	—	4	2	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	4	2	no	—
521	C₂×C₄×C₁₃	—	8	2	no	—
522	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
523	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
524	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
525	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
530	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
531	C₈×C₁₃	—	2	1	no	—
532	C₈×C₁₃	—	2	1	no	—
533	C₈×C₁₃	—	2	1	no	—
534	C₈×C₁₃	—	2	1	no	—
535	C₈×C₁₃	—	2	2	no	—
536	C₈×C₁₃	—	2	2	no	—
537	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
538	#556	—	2	2	no	—
539	#556	—	2	1	no	—
540	#556	C₂²×C₁₃	1	1	yes	characteristic
541	#556	C₂²×C₁₃	1	2	yes	—
542	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
543	#555	C₂²×C₁₃	1	1	yes	characteristic
544	#555	C₂²×C₁₃	1	2	yes	—
545	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
546	#554	C₂²×C₁₃	1	1	yes	characteristic
547	#553	—	2	1	no	—
548	#552	—	2	1	no	—
549	#552	C₂²×C₁₃	1	2	yes	—
550	#551	—	2	2	no	—
551	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
552	#548	—	2	1	no	—
553	#547	C₂²×C₁₃	1	1	yes	characteristic
554	#546	C₂²×C₁₃	1	2	yes	—
555	#542	—	2	1	no	—
556	#542	—	2	2	no	—
557	#533	C₂²×C₁₃	1	1	yes	characteristic
558	#533	C₂²×C₁₃	1	1	yes	characteristic
559	#533	C₂²×C₁₃	1	2	yes	complemented
560	#529	—	2	2	no	—
561	#529	C₂²×C₁₃	1	1	yes	characteristic
562	#529	C₂²×C₁₃	1	2	yes	—
563	#529	C₂²×C₁₃	1	2	yes	complemented
564	#525	—	2	1	no	—
565	#519	—	2	1	no	—
566	C₄×#41	C₂²×C₁₃	1	2	yes	—
567	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
568	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
569	C₂×#117	—	2	1	no	—
570	#501	C₂²×C₁₃	1	2	yes	complemented
571	#501	C₂²×C₁₃	1	2	yes	complemented
572	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
573	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	#489	C₂²×C₁₃	1	2	yes	—
575	#489	C₂²×C₁₃	1	2	yes	—
576	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
578	#485	C₂²×C₁₃	1	2	yes	—
579	#485	C₂²×C₁₃	1	2	yes	—
580	#485	C₂²×C₁₃	1	2	yes	complemented
581	#485	C₂²×C₁₃	1	2	yes	complemented
582	#485	C₂²×C₁₃	1	2	yes	complemented
583	#484	C₂²×C₁₃	1	1	yes	characteristic
584	#482	C₂²×C₁₃	1	2	yes	—
585	#482	C₂²×C₁₃	1	2	yes	—
586	#482	C₂²×C₁₃	1	2	yes	complemented
587	#481	C₂²×C₁₃	1	1	yes	characteristic
588	#479	C₂²×C₁₃	1	2	yes	complemented
589	#479	C₂²×C₁₃	1	2	yes	complemented
590	#479	C₂²×C₁₃	1	2	yes	complemented
591	#479	C₂²×C₁₃	1	2	yes	complemented
592	#478	C₂²×C₁₃	1	1	yes	characteristic
593	#478	C₂²×C₁₃	1	2	yes	—
594	#478	C₂²×C₁₃	1	2	yes	—
595	#478	C₂²×C₁₃	1	1	yes	characteristic
596	#478	C₂²×C₁₃	1	2	yes	complemented
597	#477	C₂²×C₁₃	1	2	yes	complemented
598	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	#476	C₂²×C₁₃	1	2	yes	—
600	#476	C₂²×C₁₃	1	1	yes	characteristic
601	#476	C₂²×C₁₃	1	1	yes	characteristic
602	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#475	C₂²×C₁₃	1	2	yes	complemented
604	#474	C₂²×C₁₃	1	2	yes	—
605	#474	C₂²×C₁₃	1	1	yes	characteristic
606	#474	C₂²×C₁₃	1	1	yes	characteristic
607	#470	C₂²×C₁₃	1	2	yes	—
608	#468	C₂²×C₁₃	1	2	yes	—
609	#467	C₂²×C₁₃	1	2	yes	complemented
610	#466	C₂²×C₁₃	1	2	yes	—
611	#465	C₂²×C₁₃	1	2	yes	—
612	#465	C₂²×C₁₃	1	2	yes	complemented
613	#464	C₂²×C₁₃	1	2	yes	—
614	#464	C₂²×C₁₃	1	2	yes	complemented
615	#463	C₂²×C₁₃	1	1	yes	characteristic
616	#463	C₂²×C₁₃	1	1	yes	characteristic
617	#463	C₂²×C₁₃	1	2	yes	—
618	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#452	C₂²×C₁₃	1	2	yes	—
621	#450	C₂²×C₁₃	1	1	yes	characteristic
622	#449	C₂²×C₁₃	1	2	yes	—
623	#447	C₂²×C₁₃	1	1	yes	characteristic
624	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#442	C₂²×C₁₃	1	2	yes	—
627	#441	C₂²×C₁₃	1	2	yes	complemented
628	#440	C₂²×C₁₃	1	2	yes	—
629	#440	C₂²×C₁₃	1	2	yes	complemented
630	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
631	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
632	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
633	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
634	#435	C₂²×C₁₃	1	2	yes	—
635	#435	C₂²×C₁₃	1	2	yes	—
636	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#432	C₂²×C₁₃	1	2	yes	complemented
639	#431	C₂²×C₁₃	1	1	yes	characteristic
640	#428	C₂²×C₁₃	1	2	yes	—
641	#427	C₂²×C₁₃	1	2	yes	complemented
642	#427	C₂²×C₁₃	1	2	yes	complemented
643	#423	C₂²×C₁₃	1	1	yes	characteristic
644	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
645	#418	C₂²×C₁₃	1	2	yes	—
646	#416	C₂²×C₁₃	1	2	yes	—
647	#416	C₂²×C₁₃	1	2	yes	—
648	C₂²×C₁₃	—	2	2	no	—
649	C₂²×C₁₃	—	2	1	no	—
650	C₂²×C₁₃	—	2	2	no	—
651	C₂²×C₁₃	—	2	1	no	—
652	C₂²×C₁₃	—	2	2	no	—
653	C₂²×C₁₃	—	2	1	no	—
654	C₂²×C₁₃	—	2	2	no	—
655	C₂²×C₁₃	—	4	1	no	—
656	C₂²×C₁₃	—	4	1	no	—
657	C₂²×C₁₃	—	4	1	no	—
658	C₂²×C₁₃	—	4	1	no	—
659	C₂²×C₁₃	—	4	1	no	—
660	C₂²×C₁₃	—	4	1	no	—
661	C₂²×C₁₃	—	4	1	no	—
662	C₂²×C₁₃	—	4	1	no	—
663	C₂²×C₁₃	—	8	4	no	—
664	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
665	C₄×C₁₃	—	2	1	no	—
666	C₄×C₁₃	—	2	2	no	—
667	C₄×C₁₃	—	2	1	no	—
668	C₄×C₁₃	—	2	2	no	—
669	C₄×C₁₃	—	2	1	no	—
670	C₄×C₁₃	—	2	1	no	—
671	C₄×C₁₃	—	2	2	no	—
672	C₄×C₁₃	—	4	2	no	—
673	C₄×C₁₃	—	4	2	no	—
674	C₄×C₁₃	—	4	1	no	—
675	C₄×C₁₃	—	4	2	no	—
676	C₄×C₁₃	—	4	1	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	1	no	—
679	C₄×C₁₃	—	4	2	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	#575	1	2	yes	—
682	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
683	C₄×C₁₃	#585	1	1	yes	characteristic
684	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
685	C₂×#41	C₂³×C₁₃	1	2	yes	—
686	C₂²×Q₈	—	2	1	no	—
687	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
688	C₂³×C₄	—	2	1	no	—
689	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
690	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
691	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
692	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
693	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
696	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
697	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
698	C₄⋊Q₈	—	2	1	no	—
699	C₄⋊Q₈	—	2	2	no	—
700	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
701	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
702	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
703	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
704	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
705	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
706	#126	—	2	2	no	—
707	#126	—	2	2	no	—
708	#126	—	2	2	no	—
709	#126	—	2	2	no	—
710	#126	—	2	2	no	—
711	#126	—	2	2	no	—
712	#126	—	2	1	no	—
713	#126	—	2	2	no	—
714	#125	—	2	2	no	—
715	#125	—	2	1	no	—
716	#125	C₂³×C₁₃	1	1	yes	characteristic
717	#125	C₂³×C₁₃	1	2	yes	—
718	#125	C₂³×C₁₃	1	2	yes	—
719	#124	—	2	2	no	—
720	#124	—	2	1	no	—
721	#124	—	2	2	no	—
722	#124	—	2	2	no	—
723	#124	—	2	2	no	—
724	#124	—	2	2	no	—
725	#124	C₂³×C₁₃	1	1	yes	characteristic
726	#124	C₂³×C₁₃	1	2	yes	—
727	#123	—	2	2	no	—
728	#123	—	2	1	no	—
729	#123	—	2	2	no	—
730	#123	—	2	2	no	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	C₂²⋊Q₈	—	2	1	no	—
734	C₂²⋊Q₈	—	2	1	no	—
735	C₂²⋊Q₈	—	2	1	no	—
736	C₂²⋊Q₈	—	2	1	no	—
737	C₂²⋊Q₈	—	2	1	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	2	no	—
743	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
744	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
745	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
746	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
747	#121	—	2	1	no	—
748	#121	—	2	1	no	—
749	#121	—	2	2	no	—
750	#121	—	2	1	no	—
751	#121	—	2	2	no	—
752	#121	C₂³×C₁₃	1	2	yes	—
753	#121	C₂³×C₁₃	1	1	yes	characteristic
754	#121	C₂³×C₁₃	1	2	yes	—
755	#120	—	2	2	no	—
756	C₄×Q₈	—	2	1	no	—
757	C₄×Q₈	—	2	2	no	—
758	C₄×Q₈	—	2	1	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	—	2	2	no	—
761	C₄×Q₈	—	2	1	no	—
762	C₄×Q₈	—	2	1	no	—
763	C₄×Q₈	—	2	2	no	—
764	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
765	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
766	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
767	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
769	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
770	C₄×D₄	—	2	2	no	—
771	C₄×D₄	—	2	2	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	1	no	—
774	C₄×D₄	—	2	2	no	—
775	C₄×D₄	—	2	1	no	—
776	C₄×D₄	—	2	1	no	—
777	C₄×D₄	D₄×C₁₃	1	2	yes	—
778	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
779	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
780	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
781	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
782	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
783	C₄×D₄	C₂³×C₁₃	1	2	yes	—
784	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
785	C₄×D₄	C₂³×C₁₃	1	2	yes	—
786	C₄×D₄	C₂³×C₁₃	1	2	yes	—
787	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
788	#117	—	2	1	no	—
789	#117	—	2	1	no	—
790	#117	—	2	1	no	—
791	#117	—	2	2	no	—
792	#117	—	2	1	no	—
793	#117	—	2	2	no	—
794	#117	—	2	2	no	—
795	#117	—	2	2	no	—
796	#117	—	2	1	no	—
797	#117	—	2	2	no	—
798	#117	D₄×C₁₃	1	1	yes	characteristic
799	#117	D₄×C₁₃	1	2	yes	—
800	#117	C₂³×C₁₃	1	2	yes	—
801	#117	C₂³×C₁₃	1	2	yes	—
802	#117	C₂³×C₁₃	1	2	yes	—
803	#117	C₂³×C₁₃	1	2	yes	—
804	C₂×C₄⋊C₄	—	2	1	no	—
805	C₂×C₄⋊C₄	—	2	1	no	—
806	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	—	2	1	no	—
808	C₂×C₂²⋊C₄	—	2	2	no	—
809	C₂×C₄²	—	2	2	no	—
810	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
811	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
812	#107	C₂³×C₁₃	1	1	yes	characteristic
813	#107	C₂³×C₁₃	1	2	yes	—
814	#107	C₂³×C₁₃	1	2	yes	—
815	#107	C₂³×C₁₃	1	2	yes	—
816	#107	C₂³×C₁₃	1	2	yes	—
817	#107	C₂³×C₁₃	1	1	yes	characteristic
818	#107	C₂³×C₁₃	1	2	yes	—
819	#106	C₂³×C₁₃	1	1	yes	characteristic
820	#106	C₂³×C₁₃	1	2	yes	—
821	#106	C₂³×C₁₃	1	2	yes	—
822	#106	C₂³×C₁₃	1	2	yes	—
823	#106	C₂³×C₁₃	1	2	yes	—
824	#106	C₂³×C₁₃	1	1	yes	characteristic
825	#106	C₂³×C₁₃	1	2	yes	—
826	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
827	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
828	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
829	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
830	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
832	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
833	#103	C₂³×C₁₃	1	2	yes	—
834	#103	C₂³×C₁₃	1	2	yes	—
835	#103	C₂³×C₁₃	1	2	yes	—
836	#103	C₂³×C₁₃	1	2	yes	—
837	#103	C₂³×C₁₃	1	1	yes	characteristic
838	#103	C₂³×C₁₃	1	1	yes	characteristic
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#102	C₂³×C₁₃	1	1	yes	characteristic
843	#102	C₂³×C₁₃	1	1	yes	characteristic
844	#102	C₂³×C₁₃	1	2	yes	—
845	#102	C₂³×C₁₃	1	2	yes	—
846	#102	C₂³×C₁₃	1	2	yes	—
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	1	yes	characteristic
849	#102	C₂³×C₁₃	1	1	yes	characteristic
850	#102	C₂³×C₁₃	1	1	yes	characteristic
851	#102	C₂³×C₁₃	1	1	yes	characteristic
852	#102	C₂³×C₁₃	1	2	yes	—
853	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
856	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
857	#97	C₂³×C₁₃	1	2	yes	—
858	#97	C₂³×C₁₃	1	2	yes	—
859	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₂×C₁₃	—	4	2	no	—
862	C₂×C₁₃	—	4	1	no	—
863	C₂×C₁₃	—	4	2	no	—
864	C₂×C₁₃	—	8	1	no	—
865	C₂×C₁₃	—	8	1	no	—
866	C₂×C₁₃	#3489	1	1	yes	characteristic
867	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
868	C₂×C₁₃	#3584	1	1	yes	characteristic
869	C₂⁴	—	2	1	no	—
870	#41	—	2	4	no	—
871	#41	—	4	2	no	—
872	#41	—	4	2	no	—
873	C₂×Q₈	—	2	2	no	—
874	C₂×Q₈	—	2	1	no	—
875	C₂×Q₈	—	2	1	no	—
876	C₂×Q₈	—	2	2	no	—
877	C₂×Q₈	—	2	1	no	—
878	C₂×Q₈	—	4	4	no	—
879	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
880	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
881	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	1	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	1	no	—
888	C₂×D₄	—	4	1	no	—
889	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
890	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
891	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
892	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
893	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	4	4	no	—
904	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
905	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
906	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
907	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
908	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
909	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
910	Q₁₆	—	4	2	no	—
911	SD₁₆	—	2	2	no	—
912	SD₁₆	—	4	1	no	—
913	SD₁₆	—	4	2	no	—
914	D₈	—	2	2	no	—
915	D₈	—	4	1	no	—
916	M₁₆	—	4	2	no	—
917	C₂×C₈	—	4	2	no	—
918	C₂×C₈	—	4	2	no	—
919	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
921	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
923	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
924	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	2	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	2	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	1	no	—
934	C₄⋊C₄	—	2	1	no	—
935	C₄⋊C₄	—	2	2	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	1	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	1	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
949	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
950	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
951	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
953	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
955	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
956	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	1	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	1	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	1	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	1	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
981	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
982	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
983	C₄²	—	2	2	no	—
984	C₄²	—	2	2	no	—
985	C₄²	—	2	2	no	—
986	C₄²	—	2	2	no	—
987	C₄²	—	2	2	no	—
988	C₄²	—	2	2	no	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	1	no	—
991	C₄²	C₂×D₄×C₁₃	1	2	yes	—
992	C₄²	C₂×D₄×C₁₃	1	2	yes	—
993	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
994	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
995	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₄²	C₂⁴×C₁₃	1	2	yes	—
997	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₁₃	#62141	1	1	yes	characteristic, direct product factor, Sylow
999	C₂³	—	2	1	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	4	2	no	—
1003	C₂³	—	4	2	no	—
1004	C₂³	—	8	1	no	—
1005	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1006	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1007	Q₈	—	2	2	no	—
1008	Q₈	—	2	1	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	1	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	4	4	no	—
1013	Q₈	—	4	2	no	—
1014	Q₈	—	8	2	no	—
1015	Q₈	—	8	1	no	—
1016	Q₈	—	8	1	no	—
1017	D₄	—	2	2	no	—
1018	D₄	—	2	1	no	—
1019	D₄	—	2	1	no	—
1020	D₄	—	2	1	no	—
1021	D₄	—	2	1	no	—
1022	D₄	—	2	1	no	—
1023	D₄	—	4	2	no	—
1024	D₄	—	4	2	no	—
1025	D₄	—	4	4	no	—
1026	D₄	—	8	2	no	—
1027	D₄	—	8	2	no	—
1028	D₄	—	8	1	no	—
1029	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	4	2	no	—
1045	C₂×C₄	—	4	1	no	—
1046	C₂×C₄	—	4	2	no	—
1047	C₂×C₄	—	4	4	no	—
1048	C₂×C₄	—	4	2	no	—
1049	C₂×C₄	—	4	2	no	—
1050	C₂×C₄	—	4	4	no	—
1051	C₂×C₄	—	4	2	no	—
1052	C₂×C₄	—	4	2	no	—
1053	C₂×C₄	—	4	2	no	—
1054	C₂×C₄	—	4	2	no	—
1055	C₂×C₄	—	8	2	no	—
1056	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1057	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1058	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1059	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1060	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1061	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1063	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1064	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1065	C₈	—	2	1	no	—
1066	C₈	—	2	1	no	—
1067	C₈	—	2	1	no	—
1068	C₈	—	2	1	no	—
1069	C₈	—	2	2	no	—
1070	C₈	—	2	2	no	—
1071	C₂²	—	2	1	no	—
1072	C₂²	—	2	2	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	2	1	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	1	no	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	—	4	1	no	—
1083	C₂²	—	4	1	no	—
1084	C₂²	—	4	1	no	—
1085	C₂²	—	4	1	no	—
1086	C₂²	—	8	4	no	—
1087	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1088	C₄	—	2	1	no	—
1089	C₄	—	2	2	no	—
1090	C₄	—	2	1	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	1	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	1	no	—
1095	C₄	—	4	1	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	2	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	2	no	—
1100	C₄	—	4	2	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	2	no	—
1103	C₄	—	4	1	no	—
1104	C₄	C₁₃×#575	1	2	yes	—
1105	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1106	C₄	C₁₃×#585	1	1	yes	characteristic
1107	C₂	—	4	1	no	—
1108	C₂	—	4	2	no	—
1109	C₂	—	4	2	no	—
1110	C₂	—	8	1	no	—
1111	C₂	—	8	1	no	—
1112	C₂	C₁₃×#3489	1	1	yes	characteristic
1113	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1114	C₂	C₁₃×#3584	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3518	C₂	semidirect
2. C₁₃×#3475	C₂	semidirect
3. C₁₃×#3385	C₂	semidirect
4. C₁₃×#3384	C₂	semidirect
5. C₁₃×#3369	C₂	semidirect
6. C₁₃×#3367	C₂	semidirect
7. C₁₃×#3349	C₂	semidirect
8. C₁₃×#3348	C₂	semidirect
9. C₁₃×#3341	C₂	semidirect
10. C₁₃×#3340	C₂	semidirect
11. C₁₃×#3319	C₂	semidirect
12. C₁₃×#3311	C₂	semidirect
13. C₁₃×#3303	C₂	semidirect
14. C₁₃×#3302	C₂	semidirect
15. C₁₃×#3252	C₂	semidirect
16. C₁₃×#3250	C₂	semidirect
17. C₁₃×#3240	C₂	semidirect
18. C₁₃×#3231	C₂	semidirect
19. C₁₃×#3111	C₂	semidirect
20. C₁₃×#3105	C₂	semidirect
21. C₁₃×#3077	C₂	semidirect
22. C₁₃×#3076	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
24. Q₈²×C₁₃	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
32. C₁₃×#555	C₂²	semidirect
38. D₄×Q₈×C₁₃	C₂²	semidirect
46. C₁₃×#533	C₂²	semidirect
50. C₁₃×#529	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#501	C₂²	semidirect
59. C₁₃×#500	C₂²	semidirect
60. C₁₃×#498	C₂²	semidirect
63. C₁₃×#487	C₂²	semidirect
64. C₁₃×#487	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
69. C₁₃×#485	C₂²	semidirect
73. C₁₃×#482	C₂²	semidirect
75. C₁₃×#479	C₂²	semidirect
76. C₁₃×#479	C₂²	semidirect
77. C₁₃×#479	C₂²	semidirect
78. C₁₃×#479	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#477	C₂²	semidirect
85. C₁₃×#477	C₂²	semidirect
89. C₁₃×#476	C₂²	semidirect
90. C₁₃×#475	C₂²	semidirect
96. C₁₃×#467	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
105. C₁₃×#462	C₂²	semidirect
106. C₁₃×#461	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₁₃×#446	C₂²	semidirect
114. C₁₃×#441	C₂²	semidirect
116. C₁₃×#440	C₂²	semidirect
123. C₈×D₄×C₁₃	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#432	C₂²	semidirect
128. C₁₃×#427	C₂²	semidirect
129. C₁₃×#427	C₂²	semidirect
131. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
312. #62141	C₁₃	direct (N × H)
442. #3518	C₂×C₁₃	semidirect
443. #3475	C₂×C₁₃	semidirect
444. #3385	C₂×C₁₃	semidirect
445. #3384	C₂×C₁₃	semidirect
446. #3369	C₂×C₁₃	semidirect
447. #3367	C₂×C₁₃	semidirect
448. #3349	C₂×C₁₃	semidirect
449. #3348	C₂×C₁₃	semidirect
450. #3341	C₂×C₁₃	semidirect
451. #3340	C₂×C₁₃	semidirect
452. #3319	C₂×C₁₃	semidirect
453. #3311	C₂×C₁₃	semidirect
454. #3303	C₂×C₁₃	semidirect
455. #3302	C₂×C₁₃	semidirect
456. #3252	C₂×C₁₃	semidirect
457. #3250	C₂×C₁₃	semidirect
458. #3240	C₂×C₁₃	semidirect
459. #3231	C₂×C₁₃	semidirect
460. #3111	C₂×C₁₃	semidirect
461. #3105	C₂×C₁₃	semidirect
462. #3077	C₂×C₁₃	semidirect
463. #3076	C₂×C₁₃	semidirect
464. #2990	C₂×C₁₃	semidirect
537. Q₈²	C₂²×C₁₃	semidirect
542. #556	C₂²×C₁₃	semidirect
545. #555	C₂²×C₁₃	semidirect
551. D₄×Q₈	C₂²×C₁₃	semidirect
559. #533	C₂²×C₁₃	semidirect
563. #529	C₂²×C₁₃	semidirect
570. #501	C₂²×C₁₃	semidirect
571. #501	C₂²×C₁₃	semidirect
572. #500	C₂²×C₁₃	semidirect
573. #498	C₂²×C₁₃	semidirect
576. #487	C₂²×C₁₃	semidirect
577. #487	C₂²×C₁₃	semidirect
580. #485	C₂²×C₁₃	semidirect
581. #485	C₂²×C₁₃	semidirect
582. #485	C₂²×C₁₃	semidirect
586. #482	C₂²×C₁₃	semidirect
588. #479	C₂²×C₁₃	semidirect
589. #479	C₂²×C₁₃	semidirect
590. #479	C₂²×C₁₃	semidirect
591. #479	C₂²×C₁₃	semidirect
596. #478	C₂²×C₁₃	semidirect
597. #477	C₂²×C₁₃	semidirect
598. #477	C₂²×C₁₃	semidirect
602. #476	C₂²×C₁₃	semidirect
603. #475	C₂²×C₁₃	semidirect
609. #467	C₂²×C₁₃	semidirect
612. #465	C₂²×C₁₃	semidirect
614. #464	C₂²×C₁₃	semidirect
618. #462	C₂²×C₁₃	semidirect
619. #461	C₂²×C₁₃	semidirect
624. #446	C₂²×C₁₃	semidirect
625. #446	C₂²×C₁₃	semidirect
627. #441	C₂²×C₁₃	semidirect
629. #440	C₂²×C₁₃	semidirect
636. C₈×D₄	C₂²×C₁₃	semidirect
637. C₈×D₄	C₂²×C₁₃	semidirect
638. #432	C₂²×C₁₃	semidirect
641. #427	C₂²×C₁₃	semidirect
642. #427	C₂²×C₁₃	semidirect
644. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
998. C₁₃	#62141	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×#3518	2
C₁₃×#3475	2
C₁₃×#3385	2
C₁₃×#3384	2
C₁₃×#3369	2
C₁₃×#3367	2
C₁₃×#3349	2
C₁₃×#3348	2
C₁₃×#3341	2
C₁₃×#3340	2
C₁₃×#3319	2
C₁₃×#3311	2
C₁₃×#3303	2
C₁₃×#3302	2
C₁₃×#3252	2
C₁₃×#3250	2
C₁₃×#3240	2
C₁₃×#3231	2
C₁₃×#3111	2
C₁₃×#3105	2
C₁₃×#3077	2
C₁₃×#3076	2
C₁₃×#2990	2
#62141	13

Subgroups — C13×#62141 #15748480

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62141 #15748480