Subgroups — C₁₃×#62069 #15748408

Order 3328.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3515	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3395	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3372	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3333	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3283	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3249	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3223	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3046	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	2	yes	—
26	C₂×C₁₃×#135	C₂²	1	2	yes	—
27	C₁₃×#562	—	2	2	no	—
28	C₁₃×#559	—	2	1	no	—
29	C₁₃×#559	C₂²	1	1	yes	characteristic
30	C₁₃×#557	C₂²	1	1	yes	characteristic
31	C₁₃×#557	C₂²	1	1	yes	characteristic
32	C₁₃×#554	—	2	1	no	—
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#554	C₂²	1	1	yes	characteristic
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#552	—	2	2	no	—
37	C₁₃×#552	—	2	1	no	—
38	C₁₃×#552	C₂²	1	2	yes	—
39	C₁₃×#550	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#547	C₂²	1	2	yes	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#547	C₂²	1	2	yes	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#542	C₂²	1	2	yes	—
47	C₁₃×#541	C₂²	1	2	yes	—
48	C₁₃×#540	—	2	1	no	—
49	C₁₃×#539	—	2	2	no	—
50	C₁₃×#539	—	2	2	no	—
51	C₁₃×#536	C₂²	1	2	yes	—
52	C₁₃×#533	C₂²	1	1	yes	characteristic
53	C₁₃×#533	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#529	—	2	1	no	—
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×#125	—	2	1	no	—
58	C₁₃×#520	C₂²	1	2	yes	—
59	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
60	C₁₃×#497	C₂²	1	2	yes	—
61	C₁₃×#494	C₂²	1	1	yes	characteristic
62	C₁₃×#494	C₂²	1	2	yes	—
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	—
65	C₁₃×#488	C₂²	1	2	yes	—
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#486	C₂²	1	1	yes	characteristic
68	C₁₃×#485	C₂²	1	1	yes	characteristic
69	C₁₃×#485	C₂²	1	1	yes	characteristic
70	C₁₃×#484	C₂²	1	2	yes	—
71	C₁₃×#480	C₂²	1	2	yes	—
72	C₁₃×#479	C₂²	1	2	yes	—
73	C₁₃×#478	C₂²	1	2	yes	—
74	C₁₃×#477	C₂²	1	1	yes	characteristic
75	C₁₃×#477	C₂²	1	1	yes	characteristic
76	C₁₃×#477	C₂²	1	2	yes	—
77	C₁₃×#475	C₂²	1	1	yes	characteristic
78	C₁₃×#474	C₂²	1	1	yes	characteristic
79	C₁₃×#470	C₂²	1	2	yes	—
80	C₁₃×#468	C₂²	1	2	yes	—
81	C₁₃×#467	C₂²	1	2	yes	—
82	C₁₃×#467	C₂²	1	2	yes	—
83	C₁₃×#467	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	—
91	C₁₃×#462	C₂²	1	2	yes	—
92	C₁₃×#462	C₂²	1	1	yes	characteristic
93	C₁₃×#462	C₂²	1	1	yes	characteristic
94	C₁₃×#462	C₂²	1	1	yes	characteristic
95	C₁₃×#462	C₂²	1	2	yes	—
96	C₁₃×#462	C₂²	1	2	yes	—
97	C₁₃×#462	C₂²	1	1	yes	characteristic
98	C₁₃×#461	C₂²	1	1	yes	characteristic
99	C₁₃×#461	C₂²	1	2	yes	—
100	C₁₃×#461	C₂²	1	2	yes	—
101	C₁₃×#461	C₂²	1	1	yes	characteristic
102	C₁₃×#460	C₂²	1	1	yes	characteristic
103	C₁₃×#459	C₂²	1	1	yes	characteristic
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#452	C₂²	1	2	yes	—
107	C₁₃×#452	C₂²	1	1	yes	characteristic
108	C₁₃×#452	C₂²	1	2	yes	—
109	C₁₃×#452	C₂²	1	2	yes	—
110	C₁₃×#452	C₂²	1	2	yes	—
111	C₁₃×#451	C₂²	1	2	yes	—
112	C₁₃×#451	C₂²	1	2	yes	—
113	C₁₃×#449	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
116	C₁₃×#440	C₂²	1	2	yes	—
117	C₁₃×#440	C₂²	1	2	yes	—
118	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
120	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
122	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×D₈	C₂²	1	2	yes	—
124	C₁₃×#436	C₂²	1	1	yes	characteristic
125	C₁₃×#435	C₂²	1	2	yes	—
126	C₈×D₄×C₁₃	C₂²	1	2	yes	—
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
128	C₁₃×#433	C₂²	1	2	yes	—
129	C₁₃×#431	C₂²	1	1	yes	characteristic
130	C₁₃×#424	C₂²	1	2	yes	—
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
132	C₁₃×#417	C₂²	1	2	yes	—
133	C₁₃×#416	C₂²	1	2	yes	—
134	C₂×C₁₃×#103	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	C₂³	1	2	yes	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₁₃×#137	—	4	4	no	—
141	C₁₃×#135	—	4	4	no	—
142	C₁₃×#135	—	4	4	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
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×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×#127	—	2	1	no	—
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	D₄	1	2	yes	—
175	C₁₃×#125	—	2	2	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	D₄	1	1	yes	characteristic
186	C₁₃×#125	C₂³	1	2	yes	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	D₄	1	1	yes	characteristic
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#124	C₂³	1	2	yes	—
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	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	D₄	1	2	yes	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	2	no	—
214	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
215	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
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	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	D₄	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	—	2	1	no	—
231	C₄×Q₈×C₁₃	—	2	1	no	—
232	C₄×Q₈×C₁₃	—	2	1	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	2	no	—
249	C₄×D₄×C₁₃	—	2	2	no	—
250	C₄×D₄×C₁₃	—	2	2	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	2	yes	—
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	—	2	2	no	—
262	C₁₃×#117	—	2	2	no	—
263	C₁₃×#117	—	2	1	no	—
264	C₁₃×#117	C₂³	1	1	yes	characteristic
265	C₁₃×#117	C₂³	1	2	yes	—
266	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
267	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
268	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
272	C₂×C₄²×C₁₃	—	2	1	no	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	1	yes	characteristic
277	C₁₃×#107	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	1	yes	characteristic
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×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	1	yes	characteristic
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	1	yes	characteristic
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#62069	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	1	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	4	2	no	—
323	C₁₃×#41	—	4	2	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	4	2	no	—
328	C₂×Q₈×C₁₃	—	4	2	no	—
329	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
343	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	1	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	2	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	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
360	C₁₃×Q₁₆	—	4	1	no	—
361	C₁₃×Q₁₆	—	4	2	no	—
362	C₁₃×Q₁₆	—	4	1	no	—
363	C₁₃×Q₁₆	—	4	2	no	—
364	C₁₃×Q₁₆	—	4	2	no	—
365	C₁₃×Q₁₆	—	4	2	no	—
366	C₁₃×Q₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	—	2	2	no	—
368	C₁₃×SD₁₆	—	2	4	no	—
369	C₁₃×SD₁₆	—	2	2	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×SD₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	4	2	no	—
373	C₁₃×D₈	—	2	4	no	—
374	C₁₃×M₁₆	—	4	2	no	—
375	C₂×C₈×C₁₃	—	4	2	no	—
376	C₂×C₈×C₁₃	—	4	2	no	—
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	1	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	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
413	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
415	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	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	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₄²×C₁₃	—	2	1	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	—	2	1	no	—
449	C₄²×C₁₃	—	2	1	no	—
450	C₄²×C₁₃	—	2	2	no	—
451	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	2	yes	—
455	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
456	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3515	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3400	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3395	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3372	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3333	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3315	C₂×C₁₃	1	2	yes	complemented
464	#3300	C₂×C₁₃	1	2	yes	complemented
465	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3284	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3283	C₂×C₁₃	1	2	yes	complemented
468	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3269	C₂×C₁₃	1	2	yes	complemented
470	#3258	C₂×C₁₃	1	2	yes	complemented
471	#3249	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3223	C₂×C₁₃	1	2	yes	complemented
473	#3210	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3124	C₂×C₁₃	1	2	yes	complemented
475	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3046	C₂×C₁₃	1	2	yes	complemented
477	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#2994	C₂×C₁₃	1	1	yes	characteristic, complemented
479	C₂³×C₁₃	—	2	1	no	—
480	C₂³×C₁₃	—	2	2	no	—
481	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	2	no	—
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	2	2	no	—
493	Q₈×C₁₃	—	2	1	no	—
494	Q₈×C₁₃	—	8	1	no	—
495	Q₈×C₁₃	—	8	1	no	—
496	Q₈×C₁₃	—	8	2	no	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	4	4	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	4	2	no	—
505	D₄×C₁₃	—	8	1	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	2	no	—
509	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	4	1	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	4	4	no	—
528	C₂×C₄×C₁₃	—	4	2	no	—
529	C₂×C₄×C₁₃	—	8	1	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	—	8	2	no	—
534	C₂×C₄×C₁₃	—	8	2	no	—
535	C₂×C₄×C₁₃	—	8	2	no	—
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	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
542	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
543	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
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	C₈×C₁₃	—	2	1	no	—
550	C₈×C₁₃	—	2	1	no	—
551	C₂×#137	C₂²×C₁₃	1	2	yes	—
552	C₂×#135	C₂²×C₁₃	1	2	yes	—
553	C₂×#135	C₂²×C₁₃	1	2	yes	—
554	#562	—	2	2	no	—
555	#559	—	2	1	no	—
556	#559	C₂²×C₁₃	1	1	yes	characteristic
557	#557	C₂²×C₁₃	1	1	yes	characteristic
558	#557	C₂²×C₁₃	1	1	yes	characteristic
559	#554	—	2	1	no	—
560	#554	C₂²×C₁₃	1	1	yes	characteristic
561	#554	C₂²×C₁₃	1	1	yes	characteristic
562	#553	—	2	1	no	—
563	#552	—	2	2	no	—
564	#552	—	2	1	no	—
565	#552	C₂²×C₁₃	1	2	yes	—
566	#550	C₂²×C₁₃	1	1	yes	characteristic
567	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
568	#548	C₂²×C₁₃	1	2	yes	—
569	#547	C₂²×C₁₃	1	2	yes	—
570	#547	C₂²×C₁₃	1	1	yes	characteristic
571	#547	C₂²×C₁₃	1	2	yes	—
572	#542	—	2	1	no	—
573	#542	C₂²×C₁₃	1	2	yes	—
574	#541	C₂²×C₁₃	1	2	yes	—
575	#540	—	2	1	no	—
576	#539	—	2	2	no	—
577	#539	—	2	2	no	—
578	#536	C₂²×C₁₃	1	2	yes	—
579	#533	C₂²×C₁₃	1	1	yes	characteristic
580	#533	C₂²×C₁₃	1	1	yes	characteristic
581	#532	C₂²×C₁₃	1	1	yes	characteristic
582	#529	—	2	1	no	—
583	#529	C₂²×C₁₃	1	1	yes	characteristic
584	C₂×#125	—	2	1	no	—
585	#520	C₂²×C₁₃	1	2	yes	—
586	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
587	#497	C₂²×C₁₃	1	2	yes	—
588	#494	C₂²×C₁₃	1	1	yes	characteristic
589	#494	C₂²×C₁₃	1	2	yes	—
590	#492	C₂²×C₁₃	1	1	yes	characteristic
591	#491	C₂²×C₁₃	1	2	yes	—
592	#488	C₂²×C₁₃	1	2	yes	—
593	#487	C₂²×C₁₃	1	1	yes	characteristic
594	#486	C₂²×C₁₃	1	1	yes	characteristic
595	#485	C₂²×C₁₃	1	1	yes	characteristic
596	#485	C₂²×C₁₃	1	1	yes	characteristic
597	#484	C₂²×C₁₃	1	2	yes	—
598	#480	C₂²×C₁₃	1	2	yes	—
599	#479	C₂²×C₁₃	1	2	yes	—
600	#478	C₂²×C₁₃	1	2	yes	—
601	#477	C₂²×C₁₃	1	1	yes	characteristic
602	#477	C₂²×C₁₃	1	1	yes	characteristic
603	#477	C₂²×C₁₃	1	2	yes	—
604	#475	C₂²×C₁₃	1	1	yes	characteristic
605	#474	C₂²×C₁₃	1	1	yes	characteristic
606	#470	C₂²×C₁₃	1	2	yes	—
607	#468	C₂²×C₁₃	1	2	yes	—
608	#467	C₂²×C₁₃	1	2	yes	—
609	#467	C₂²×C₁₃	1	2	yes	—
610	#467	C₂²×C₁₃	1	2	yes	—
611	#465	C₂²×C₁₃	1	2	yes	—
612	#464	C₂²×C₁₃	1	2	yes	—
613	#464	C₂²×C₁₃	1	2	yes	—
614	#464	C₂²×C₁₃	1	2	yes	—
615	#464	C₂²×C₁₃	1	2	yes	—
616	#463	C₂²×C₁₃	1	2	yes	—
617	#463	C₂²×C₁₃	1	2	yes	—
618	#462	C₂²×C₁₃	1	1	yes	characteristic
619	#462	C₂²×C₁₃	1	1	yes	characteristic
620	#462	C₂²×C₁₃	1	2	yes	—
621	#462	C₂²×C₁₃	1	1	yes	characteristic
622	#462	C₂²×C₁₃	1	2	yes	—
623	#462	C₂²×C₁₃	1	1	yes	characteristic
624	#462	C₂²×C₁₃	1	2	yes	—
625	#461	C₂²×C₁₃	1	1	yes	characteristic
626	#461	C₂²×C₁₃	1	1	yes	characteristic
627	#461	C₂²×C₁₃	1	2	yes	—
628	#461	C₂²×C₁₃	1	2	yes	—
629	#460	C₂²×C₁₃	1	1	yes	characteristic
630	#459	C₂²×C₁₃	1	1	yes	characteristic
631	#452	C₂²×C₁₃	1	2	yes	—
632	#452	C₂²×C₁₃	1	1	yes	characteristic
633	#452	C₂²×C₁₃	1	1	yes	characteristic
634	#452	C₂²×C₁₃	1	2	yes	—
635	#452	C₂²×C₁₃	1	2	yes	—
636	#452	C₂²×C₁₃	1	2	yes	—
637	#452	C₂²×C₁₃	1	2	yes	—
638	#451	C₂²×C₁₃	1	2	yes	—
639	#451	C₂²×C₁₃	1	2	yes	—
640	#449	C₂²×C₁₃	1	2	yes	—
641	#446	C₂²×C₁₃	1	1	yes	characteristic
642	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
643	#440	C₂²×C₁₃	1	2	yes	—
644	#440	C₂²×C₁₃	1	2	yes	—
645	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
646	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
647	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
648	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
649	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
650	C₄×D₈	C₂²×C₁₃	1	2	yes	—
651	#436	C₂²×C₁₃	1	1	yes	characteristic
652	#435	C₂²×C₁₃	1	2	yes	—
653	C₈×D₄	C₂²×C₁₃	1	2	yes	—
654	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
655	#433	C₂²×C₁₃	1	2	yes	—
656	#431	C₂²×C₁₃	1	1	yes	characteristic
657	#424	C₂²×C₁₃	1	2	yes	—
658	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
659	#417	C₂²×C₁₃	1	2	yes	—
660	#416	C₂²×C₁₃	1	2	yes	—
661	C₂×#103	C₂²×C₁₃	1	2	yes	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	2	2	no	—
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	—	4	1	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	2	no	—
672	C₂²×C₁₃	—	4	2	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
675	C₄×C₁₃	—	2	1	no	—
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	2	2	no	—
678	C₄×C₁₃	—	2	1	no	—
679	C₄×C₁₃	—	2	2	no	—
680	C₄×C₁₃	—	2	1	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	2	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	—	4	2	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	#578	1	2	yes	—
693	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
694	C₄×C₁₃	#585	1	1	yes	characteristic
695	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×#41	C₂³×C₁₃	1	2	yes	—
697	C₂×#41	C₂³×C₁₃	1	2	yes	—
698	C₂×#41	C₂³×C₁₃	1	2	yes	—
699	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
700	#137	—	4	4	no	—
701	#135	—	4	4	no	—
702	#135	—	4	4	no	—
703	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
716	C₂×D₈	C₂³×C₁₃	1	2	yes	—
717	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
718	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
719	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
720	C₄⋊Q₈	—	2	1	no	—
721	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
723	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
724	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
725	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
726	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
727	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
728	#127	—	2	1	no	—
729	#127	C₂³×C₁₃	1	1	yes	characteristic
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	D₄×C₁₃	1	2	yes	—
735	#125	—	2	2	no	—
736	#125	—	2	2	no	—
737	#125	—	2	1	no	—
738	#125	—	2	1	no	—
739	#125	—	2	2	no	—
740	#125	—	2	2	no	—
741	#125	—	2	1	no	—
742	#125	—	2	2	no	—
743	#125	—	2	1	no	—
744	#125	—	2	1	no	—
745	#125	D₄×C₁₃	1	1	yes	characteristic
746	#125	C₂³×C₁₃	1	2	yes	—
747	#124	—	2	1	no	—
748	#124	—	2	2	no	—
749	#124	—	2	2	no	—
750	#124	D₄×C₁₃	1	1	yes	characteristic
751	#124	C₂³×C₁₃	1	2	yes	—
752	#124	C₂³×C₁₃	1	2	yes	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	—	2	2	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	D₄×C₁₃	1	2	yes	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
775	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
776	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
777	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
778	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
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	2	no	—
784	#121	—	2	2	no	—
785	#121	—	2	1	no	—
786	#121	—	2	1	no	—
787	#121	—	2	2	no	—
788	#121	D₄×C₁₃	1	1	yes	characteristic
789	#121	C₂³×C₁₃	1	2	yes	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
797	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
798	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	2	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
814	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₁₃	1	2	yes	—
816	C₄×D₄	C₂³×C₁₃	1	2	yes	—
817	C₄×D₄	C₂³×C₁₃	1	2	yes	—
818	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
819	#117	—	2	1	no	—
820	#117	—	2	1	no	—
821	#117	—	2	2	no	—
822	#117	—	2	2	no	—
823	#117	—	2	1	no	—
824	#117	C₂³×C₁₃	1	1	yes	characteristic
825	#117	C₂³×C₁₃	1	2	yes	—
826	C₂×C₄⋊C₄	—	2	2	no	—
827	C₂×C₄⋊C₄	—	2	1	no	—
828	C₂×C₄⋊C₄	—	2	2	no	—
829	C₂×C₄⋊C₄	—	2	1	no	—
830	C₂×C₄⋊C₄	—	2	2	no	—
831	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
832	C₂×C₄²	—	2	1	no	—
833	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
834	#107	C₂³×C₁₃	1	2	yes	—
835	#107	C₂³×C₁₃	1	1	yes	characteristic
836	#107	C₂³×C₁₃	1	1	yes	characteristic
837	#107	C₂³×C₁₃	1	2	yes	—
838	#106	C₂³×C₁₃	1	1	yes	characteristic
839	#106	C₂³×C₁₃	1	1	yes	characteristic
840	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
841	C₄⋊C₈	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	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
847	#103	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	1	yes	characteristic
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	1	yes	characteristic
858	#103	C₂³×C₁₃	1	1	yes	characteristic
859	#103	C₂³×C₁₃	1	2	yes	—
860	#103	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	1	yes	characteristic
867	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
871	#97	C₂³×C₁₃	1	2	yes	—
872	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
873	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₁₃	1	2	yes	—
875	C₂×C₁₃	—	4	1	no	—
876	C₂×C₁₃	—	4	2	no	—
877	C₂×C₁₃	—	4	2	no	—
878	C₂×C₁₃	—	8	2	no	—
879	C₂×C₁₃	#3488	1	1	yes	characteristic
880	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
881	C₂×C₁₃	#3584	1	1	yes	characteristic
882	#41	—	2	2	no	—
883	#41	—	2	4	no	—
884	#41	—	4	2	no	—
885	#41	—	4	1	no	—
886	#41	—	4	2	no	—
887	#41	—	4	2	no	—
888	#41	—	4	2	no	—
889	#41	—	4	2	no	—
890	C₂×Q₈	—	2	1	no	—
891	C₂×Q₈	—	2	1	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	4	2	no	—
894	C₂×Q₈	—	4	2	no	—
895	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
896	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
898	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
909	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
910	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
911	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
923	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
926	Q₁₆	—	4	2	no	—
927	Q₁₆	—	4	2	no	—
928	Q₁₆	—	4	2	no	—
929	Q₁₆	—	4	2	no	—
930	Q₁₆	—	4	1	no	—
931	Q₁₆	—	4	2	no	—
932	Q₁₆	—	4	1	no	—
933	SD₁₆	—	2	2	no	—
934	SD₁₆	—	2	4	no	—
935	SD₁₆	—	2	2	no	—
936	SD₁₆	—	4	2	no	—
937	SD₁₆	—	4	2	no	—
938	SD₁₆	—	4	2	no	—
939	D₈	—	2	4	no	—
940	M₁₆	—	4	2	no	—
941	C₂×C₈	—	4	2	no	—
942	C₂×C₈	—	4	2	no	—
943	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
947	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
982	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
983	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
986	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1005	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1006	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1007	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	2	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	1	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1018	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1019	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1020	C₄²	C₂⁴×C₁₃	1	2	yes	—
1021	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1022	C₁₃	#62069	1	1	yes	characteristic, direct product factor, Sylow
1023	C₂³	—	2	1	no	—
1024	C₂³	—	2	2	no	—
1025	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1026	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	2	no	—
1030	Q₈	—	2	1	no	—
1031	Q₈	—	2	1	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	2	no	—
1034	Q₈	—	2	1	no	—
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	2	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	8	2	no	—
1039	Q₈	—	8	1	no	—
1040	Q₈	—	8	1	no	—
1041	D₄	—	2	2	no	—
1042	D₄	—	2	2	no	—
1043	D₄	—	2	1	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	4	2	no	—
1046	D₄	—	4	4	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	2	no	—
1049	D₄	—	8	1	no	—
1050	D₄	—	8	2	no	—
1051	D₄	—	8	2	no	—
1052	D₄	—	8	2	no	—
1053	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	4	4	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	—	8	2	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1081	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1082	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1083	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1084	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1085	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1086	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1087	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1088	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1089	C₈	—	2	2	no	—
1090	C₈	—	2	1	no	—
1091	C₈	—	2	2	no	—
1092	C₈	—	2	1	no	—
1093	C₈	—	2	1	no	—
1094	C₈	—	2	1	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	2	1	no	—
1098	C₂²	—	2	2	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	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	2	no	—
1107	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1108	C₄	—	2	1	no	—
1109	C₄	—	2	2	no	—
1110	C₄	—	2	1	no	—
1111	C₄	—	2	1	no	—
1112	C₄	—	2	2	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	2	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	2	no	—
1124	C₄	—	4	1	no	—
1125	C₄	C₁₃×#578	1	2	yes	—
1126	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1127	C₄	C₁₃×#585	1	1	yes	characteristic
1128	C₂	—	4	1	no	—
1129	C₂	—	4	2	no	—
1130	C₂	—	4	2	no	—
1131	C₂	—	8	2	no	—
1132	C₂	C₁₃×#3488	1	1	yes	characteristic
1133	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1134	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 ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3515	C₂	semidirect
3. C₁₃×#3400	C₂	semidirect
4. C₁₃×#3395	C₂	semidirect
5. C₁₃×#3372	C₂	semidirect
6. C₁₃×#3361	C₂	semidirect
7. C₁₃×#3333	C₂	semidirect
8. C₁₃×#3315	C₂	semidirect
9. C₁₃×#3300	C₂	semidirect
10. C₁₃×#3299	C₂	semidirect
11. C₁₃×#3284	C₂	semidirect
12. C₁₃×#3283	C₂	semidirect
13. C₁₃×#3276	C₂	semidirect
14. C₁₃×#3269	C₂	semidirect
15. C₁₃×#3258	C₂	semidirect
16. C₁₃×#3249	C₂	semidirect
17. C₁₃×#3223	C₂	semidirect
18. C₁₃×#3210	C₂	semidirect
19. C₁₃×#3124	C₂	semidirect
20. C₁₃×#3107	C₂	semidirect
21. C₁₃×#3046	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2994	C₂	semidirect
315. #62069	C₁₃	direct (N × H)
456. #3554	C₂×C₁₃	semidirect
457. #3515	C₂×C₁₃	semidirect
458. #3400	C₂×C₁₃	semidirect
459. #3395	C₂×C₁₃	semidirect
460. #3372	C₂×C₁₃	semidirect
461. #3361	C₂×C₁₃	semidirect
462. #3333	C₂×C₁₃	semidirect
463. #3315	C₂×C₁₃	semidirect
464. #3300	C₂×C₁₃	semidirect
465. #3299	C₂×C₁₃	semidirect
466. #3284	C₂×C₁₃	semidirect
467. #3283	C₂×C₁₃	semidirect
468. #3276	C₂×C₁₃	semidirect
469. #3269	C₂×C₁₃	semidirect
470. #3258	C₂×C₁₃	semidirect
471. #3249	C₂×C₁₃	semidirect
472. #3223	C₂×C₁₃	semidirect
473. #3210	C₂×C₁₃	semidirect
474. #3124	C₂×C₁₃	semidirect
475. #3107	C₂×C₁₃	semidirect
476. #3046	C₂×C₁₃	semidirect
477. #3035	C₂×C₁₃	semidirect
478. #2994	C₂×C₁₃	semidirect
1022. C₁₃	#62069	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×#3554	2
C₁₃×#3515	2
C₁₃×#3400	2
C₁₃×#3395	2
C₁₃×#3372	2
C₁₃×#3361	2
C₁₃×#3333	2
C₁₃×#3315	2
C₁₃×#3300	2
C₁₃×#3299	2
C₁₃×#3284	2
C₁₃×#3283	2
C₁₃×#3276	2
C₁₃×#3269	2
C₁₃×#3258	2
C₁₃×#3249	2
C₁₃×#3223	2
C₁₃×#3210	2
C₁₃×#3124	2
C₁₃×#3107	2
C₁₃×#3046	2
C₁₃×#3035	2
C₁₃×#2994	2
#62069	13

Subgroups — C13×#62069 #15748408

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62069 #15748408