Subgroups — C₁₃×#35044 #15721383

Order 3328.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1106 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2863	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2858	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2854	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2648	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2631	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2597	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2557	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2513	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2492	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2459	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2456	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2447	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2439	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2431	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2428	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2414	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2407	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2337	C₂	1	2	yes	maximal, complemented
20	C₁₃×#2333	C₂	1	2	yes	maximal, complemented
21	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2297	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#124	C₂²	1	2	yes	—
28	C₂×C₁₃×#124	C₂²	1	2	yes	—
29	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#123	C₂²	1	2	yes	—
31	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#121	C₂²	1	2	yes	—
34	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
41	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
42	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
43	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#400	C₂²	1	2	yes	—
45	C₁₃×#397	C₂²	1	2	yes	—
46	C₁₃×#397	C₂²	1	2	yes	—
47	C₁₃×#397	C₂²	1	2	yes	—
48	C₁₃×#397	C₂²	1	2	yes	—
49	C₁₃×#396	C₂²	1	2	yes	—
50	C₁₃×#394	C₂²	1	2	yes	—
51	C₁₃×#394	C₂²	1	2	yes	—
52	C₁₃×#394	C₂²	1	2	yes	—
53	C₁₃×#393	C₂²	1	2	yes	—
54	C₁₃×#393	C₂²	1	2	yes	—
55	C₁₃×#392	C₂²	1	2	yes	—
56	C₁₃×#392	C₂²	1	2	yes	—
57	C₁₃×#392	C₂²	1	2	yes	—
58	C₁₃×#392	C₂²	1	2	yes	—
59	C₁₃×#392	C₂²	1	2	yes	—
60	C₁₃×#391	C₂²	1	1	yes	characteristic
61	C₁₃×#391	C₂²	1	1	yes	characteristic
62	C₁₃×#391	C₂²	1	2	yes	—
63	C₁₃×#391	C₂²	1	2	yes	—
64	C₁₃×#391	C₂²	1	1	yes	characteristic
65	C₁₃×#391	C₂²	1	1	yes	characteristic
66	C₁₃×#390	C₂²	1	1	yes	characteristic
67	C₁₃×#390	C₂²	1	1	yes	characteristic
68	C₁₃×#390	C₂²	1	1	yes	characteristic
69	C₁₃×#390	C₂²	1	1	yes	characteristic
70	C₁₃×#390	C₂²	1	1	yes	characteristic
71	C₁₃×#390	C₂²	1	2	yes	—
72	C₁₃×#390	C₂²	1	2	yes	—
73	C₁₃×#390	C₂²	1	2	yes	—
74	C₁₃×#390	C₂²	1	1	yes	characteristic
75	C₁₃×#389	C₂²	1	1	yes	characteristic
76	C₁₃×#389	C₂²	1	1	yes	characteristic
77	C₁₃×#389	C₂²	1	1	yes	characteristic
78	C₁₃×#389	C₂²	1	1	yes	characteristic
79	C₁₃×#388	C₂²	1	2	yes	—
80	C₁₃×#388	C₂²	1	2	yes	—
81	C₁₃×#388	C₂²	1	2	yes	—
82	C₁₃×#388	C₂²	1	2	yes	—
83	C₁₃×#388	C₂²	1	2	yes	—
84	C₁₃×#388	C₂²	1	2	yes	—
85	C₁₃×#388	C₂²	1	2	yes	—
86	C₁₃×#388	C₂²	1	2	yes	—
87	C₁₃×#388	C₂²	1	2	yes	—
88	C₁₃×#387	C₂²	1	2	yes	—
89	C₁₃×#387	C₂²	1	2	yes	—
90	C₁₃×#387	C₂²	1	2	yes	—
91	C₁₃×#387	C₂²	1	2	yes	—
92	C₁₃×#386	C₂²	1	2	yes	—
93	C₁₃×#386	C₂²	1	2	yes	—
94	C₁₃×#386	C₂²	1	2	yes	—
95	C₁₃×#386	C₂²	1	2	yes	—
96	C₁₃×#386	C₂²	1	2	yes	—
97	C₁₃×#386	C₂²	1	2	yes	—
98	C₁₃×#386	C₂²	1	2	yes	—
99	C₁₃×#386	C₂²	1	2	yes	—
100	C₁₃×#386	C₂²	1	2	yes	—
101	C₁₃×#386	C₂²	1	2	yes	—
102	C₁₃×#385	C₂²	1	2	yes	—
103	C₁₃×#385	C₂²	1	2	yes	—
104	C₁₃×#383	C₂²	1	2	yes	—
105	C₁₃×#382	C₂²	1	1	yes	characteristic
106	C₁₃×#381	C₂²	1	2	yes	—
107	C₁₃×#380	C₂²	1	1	yes	characteristic
108	C₁₃×#380	C₂²	1	1	yes	characteristic
109	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
122	C₄³×C₁₃	C₂²	1	1	yes	characteristic
123	C₂×C₁₃×#41	—	2	4	no	—
124	C₂×C₁₃×#41	—	4	2	no	—
125	C₂×C₁₃×#41	—	4	2	no	—
126	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
127	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
137	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
143	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₁₃×C₄⋊Q₈	—	4	2	no	—
146	C₁₃×#127	—	4	2	no	—
147	C₁₃×#124	—	2	8	no	—
148	C₁₃×#124	—	4	4	no	—
149	C₁₃×#124	—	4	2	no	—
150	C₁₃×#123	—	4	4	no	—
151	C₁₃×C₂²⋊Q₈	—	4	2	no	—
152	C₁₃×#121	—	2	4	no	—
153	C₁₃×#121	—	2	8	no	—
154	C₁₃×#121	—	4	2	no	—
155	C₁₃×#121	—	4	2	no	—
156	C₄×D₄×C₁₃	—	2	4	no	—
157	C₄×D₄×C₁₃	—	2	4	no	—
158	C₄×D₄×C₁₃	—	2	4	no	—
159	C₄×D₄×C₁₃	—	4	2	no	—
160	C₄×D₄×C₁₃	—	4	4	no	—
161	C₁₃×#117	—	4	2	no	—
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃	—	4	2	no	—
205	C₂×C₄²×C₁₃	—	4	2	no	—
206	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₁₃×#95	C₂³	1	1	yes	characteristic
222	C₁₃×#95	C₂³	1	1	yes	characteristic
223	C₁₃×#95	C₂³	1	1	yes	characteristic
224	C₁₃×#95	C₂³	1	1	yes	characteristic
225	C₁₃×#95	C₂³	1	1	yes	characteristic
226	C₁₃×#95	C₂³	1	1	yes	characteristic
227	C₁₃×#95	C₂³	1	2	yes	—
228	C₁₃×#95	C₂³	1	2	yes	—
229	C₁₃×#95	C₂³	1	2	yes	—
230	C₁₃×#95	C₂³	1	2	yes	—
231	C₁₃×#95	C₂³	1	2	yes	—
232	C₁₃×#95	C₂³	1	2	yes	—
233	C₁₃×#95	C₂³	1	2	yes	—
234	C₁₃×#95	C₂³	1	2	yes	—
235	C₁₃×#95	C₂³	1	2	yes	—
236	C₁₃×#95	C₂³	1	2	yes	—
237	C₁₃×#95	C₂³	1	2	yes	—
238	C₁₃×#95	C₂³	1	2	yes	—
239	C₁₃×#95	C₂³	1	2	yes	—
240	C₁₃×#95	C₂³	1	2	yes	—
241	C₁₃×#95	C₂³	1	2	yes	—
242	C₁₃×#95	C₂³	1	2	yes	—
243	C₁₃×#95	C₂³	1	2	yes	—
244	#35044	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
245	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
246	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
247	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
248	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
249	C₁₃×#41	—	4	16	no	—
250	C₂×Q₈×C₁₃	—	2	2	no	—
251	C₂×Q₈×C₁₃	—	2	4	no	—
252	C₂×Q₈×C₁₃	—	2	2	no	—
253	C₂×Q₈×C₁₃	—	2	2	no	—
254	C₂×Q₈×C₁₃	—	4	2	no	—
255	C₂×Q₈×C₁₃	—	4	2	no	—
256	C₂×D₄×C₁₃	—	2	2	no	—
257	C₂×D₄×C₁₃	—	2	2	no	—
258	C₂×D₄×C₁₃	—	2	4	no	—
259	C₂×D₄×C₁₃	—	2	4	no	—
260	C₂×D₄×C₁₃	—	2	4	no	—
261	C₂×D₄×C₁₃	—	2	4	no	—
262	C₂×D₄×C₁₃	—	2	2	no	—
263	C₂×D₄×C₁₃	—	2	2	no	—
264	C₂×D₄×C₁₃	—	2	2	no	—
265	C₂×D₄×C₁₃	—	2	4	no	—
266	C₂×D₄×C₁₃	—	2	4	no	—
267	C₂×D₄×C₁₃	—	2	2	no	—
268	C₂×D₄×C₁₃	—	2	2	no	—
269	C₂×D₄×C₁₃	—	2	2	no	—
270	C₂×D₄×C₁₃	—	2	2	no	—
271	C₂×D₄×C₁₃	—	4	2	no	—
272	C₂×D₄×C₁₃	—	4	2	no	—
273	C₂×D₄×C₁₃	—	4	2	no	—
274	C₂×D₄×C₁₃	—	4	2	no	—
275	C₂×D₄×C₁₃	—	4	2	no	—
276	C₂×D₄×C₁₃	—	4	2	no	—
277	C₂×D₄×C₁₃	—	4	2	no	—
278	C₂×D₄×C₁₃	—	4	2	no	—
279	C₂×D₄×C₁₃	—	4	2	no	—
280	C₂×D₄×C₁₃	—	4	2	no	—
281	C₂×D₄×C₁₃	—	4	2	no	—
282	C₂×D₄×C₁₃	—	4	2	no	—
283	C₂²×C₄×C₁₃	—	2	2	no	—
284	C₂²×C₄×C₁₃	—	2	2	no	—
285	C₂²×C₄×C₁₃	—	2	2	no	—
286	C₂²×C₄×C₁₃	—	2	2	no	—
287	C₂²×C₄×C₁₃	—	2	2	no	—
288	C₂²×C₄×C₁₃	—	2	2	no	—
289	C₂²×C₄×C₁₃	—	2	2	no	—
290	C₂²×C₄×C₁₃	—	2	4	no	—
291	C₂²×C₄×C₁₃	—	2	2	no	—
292	C₂²×C₄×C₁₃	—	2	2	no	—
293	C₂²×C₄×C₁₃	—	2	2	no	—
294	C₂²×C₄×C₁₃	—	2	2	no	—
295	C₂²×C₄×C₁₃	—	2	4	no	—
296	C₂²×C₄×C₁₃	—	4	1	no	—
297	C₂²×C₄×C₁₃	—	4	1	no	—
298	C₂²×C₄×C₁₃	—	4	1	no	—
299	C₂²×C₄×C₁₃	—	4	1	no	—
300	C₂²×C₄×C₁₃	—	4	1	no	—
301	C₂²×C₄×C₁₃	—	4	1	no	—
302	C₂²×C₄×C₁₃	—	4	2	no	—
303	C₂²×C₄×C₁₃	—	4	2	no	—
304	C₂²×C₄×C₁₃	—	4	2	no	—
305	C₂²×C₄×C₁₃	—	4	2	no	—
306	C₂²×C₄×C₁₃	#41	1	4	yes	—
307	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
318	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
325	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₁₃×C₄⋊C₄	—	2	2	no	—
327	C₁₃×C₄⋊C₄	—	2	2	no	—
328	C₁₃×C₄⋊C₄	—	2	2	no	—
329	C₁₃×C₄⋊C₄	—	2	2	no	—
330	C₁₃×C₄⋊C₄	—	2	4	no	—
331	C₁₃×C₄⋊C₄	—	2	2	no	—
332	C₁₃×C₄⋊C₄	—	2	2	no	—
333	C₁₃×C₄⋊C₄	—	2	2	no	—
334	C₁₃×C₄⋊C₄	—	2	4	no	—
335	C₁₃×C₄⋊C₄	—	2	2	no	—
336	C₁₃×C₄⋊C₄	—	4	2	no	—
337	C₁₃×C₄⋊C₄	—	4	2	no	—
338	C₁₃×C₄⋊C₄	—	4	2	no	—
339	C₁₃×C₄⋊C₄	—	4	2	no	—
340	C₁₃×C₂²⋊C₄	—	2	2	no	—
341	C₁₃×C₂²⋊C₄	—	2	2	no	—
342	C₁₃×C₂²⋊C₄	—	2	2	no	—
343	C₁₃×C₂²⋊C₄	—	2	2	no	—
344	C₁₃×C₂²⋊C₄	—	2	2	no	—
345	C₁₃×C₂²⋊C₄	—	2	4	no	—
346	C₁₃×C₂²⋊C₄	—	2	4	no	—
347	C₁₃×C₂²⋊C₄	—	2	4	no	—
348	C₁₃×C₂²⋊C₄	—	2	4	no	—
349	C₁₃×C₂²⋊C₄	—	2	4	no	—
350	C₁₃×C₂²⋊C₄	—	2	4	no	—
351	C₁₃×C₂²⋊C₄	—	2	4	no	—
352	C₁₃×C₂²⋊C₄	—	2	4	no	—
353	C₁₃×C₂²⋊C₄	—	4	2	no	—
354	C₁₃×C₂²⋊C₄	—	4	2	no	—
355	C₁₃×C₂²⋊C₄	—	4	2	no	—
356	C₁₃×C₂²⋊C₄	—	4	2	no	—
357	C₁₃×C₂²⋊C₄	—	4	2	no	—
358	C₁₃×C₂²⋊C₄	—	4	2	no	—
359	C₁₃×C₂²⋊C₄	—	4	2	no	—
360	C₁₃×C₂²⋊C₄	—	4	2	no	—
361	C₁₃×C₂²⋊C₄	—	4	2	no	—
362	C₁₃×C₂²⋊C₄	—	4	2	no	—
363	C₁₃×C₂²⋊C₄	—	4	2	no	—
364	C₁₃×C₂²⋊C₄	—	4	2	no	—
365	C₁₃×C₂²⋊C₄	—	4	2	no	—
366	C₁₃×C₂²⋊C₄	—	4	2	no	—
367	C₁₃×C₂²⋊C₄	#41	1	4	yes	complemented
368	C₄²×C₁₃	—	2	2	no	—
369	C₄²×C₁₃	—	2	2	no	—
370	C₄²×C₁₃	—	2	2	no	—
371	C₄²×C₁₃	—	2	2	no	—
372	C₄²×C₁₃	—	2	2	no	—
373	C₄²×C₁₃	—	2	2	no	—
374	C₄²×C₁₃	—	2	2	no	—
375	C₄²×C₁₃	—	4	1	no	—
376	C₄²×C₁₃	—	4	1	no	—
377	C₄²×C₁₃	—	4	1	no	—
378	C₄²×C₁₃	—	4	1	no	—
379	C₄²×C₁₃	—	4	1	no	—
380	C₄²×C₁₃	—	4	2	no	—
381	C₄²×C₁₃	—	4	2	no	—
382	C₄²×C₁₃	#41	1	4	yes	complemented
383	#2863	C₂×C₁₃	1	1	yes	characteristic, complemented
384	#2858	C₂×C₁₃	1	1	yes	characteristic, complemented
385	#2854	C₂×C₁₃	1	1	yes	characteristic, complemented
386	#2850	C₂×C₁₃	1	1	yes	characteristic, complemented
387	#2648	C₂×C₁₃	1	2	yes	complemented
388	#2631	C₂×C₁₃	1	2	yes	complemented
389	#2597	C₂×C₁₃	1	2	yes	complemented
390	#2557	C₂×C₁₃	1	2	yes	complemented
391	#2513	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#2492	C₂×C₁₃	1	1	yes	characteristic, complemented
393	#2459	C₂×C₁₃	1	2	yes	complemented
394	#2456	C₂×C₁₃	1	2	yes	complemented
395	#2447	C₂×C₁₃	1	1	yes	characteristic, complemented
396	#2439	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#2431	C₂×C₁₃	1	1	yes	characteristic, complemented
398	#2428	C₂×C₁₃	1	1	yes	characteristic, complemented
399	#2414	C₂×C₁₃	1	1	yes	characteristic, complemented
400	#2407	C₂×C₁₃	1	1	yes	characteristic, complemented
401	#2337	C₂×C₁₃	1	2	yes	complemented
402	#2333	C₂×C₁₃	1	2	yes	complemented
403	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
404	#2297	C₂×C₁₃	1	1	yes	characteristic, complemented
405	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
406	C₂³×C₁₃	—	2	1	no	—
407	C₂³×C₁₃	—	2	1	no	—
408	C₂³×C₁₃	—	2	1	no	—
409	C₂³×C₁₃	—	2	1	no	—
410	C₂³×C₁₃	—	2	1	no	—
411	C₂³×C₁₃	—	2	1	no	—
412	C₂³×C₁₃	—	2	1	no	—
413	C₂³×C₁₃	—	2	1	no	—
414	C₂³×C₁₃	—	2	1	no	—
415	C₂³×C₁₃	—	2	1	no	—
416	C₂³×C₁₃	—	2	1	no	—
417	C₂³×C₁₃	—	2	1	no	—
418	C₂³×C₁₃	—	2	2	no	—
419	C₂³×C₁₃	—	2	2	no	—
420	C₂³×C₁₃	—	2	2	no	—
421	C₂³×C₁₃	—	2	2	no	—
422	C₂³×C₁₃	—	2	2	no	—
423	C₂³×C₁₃	—	2	2	no	—
424	C₂³×C₁₃	—	2	2	no	—
425	C₂³×C₁₃	—	2	2	no	—
426	C₂³×C₁₃	—	2	2	no	—
427	C₂³×C₁₃	—	2	2	no	—
428	C₂³×C₁₃	—	2	2	no	—
429	C₂³×C₁₃	—	2	2	no	—
430	C₂³×C₁₃	—	2	2	no	—
431	C₂³×C₁₃	—	2	2	no	—
432	C₂³×C₁₃	C₂×#41	1	2	yes	—
433	C₂³×C₁₃	C₂×#41	1	2	yes	—
434	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
435	Q₈×C₁₃	—	4	4	no	—
436	Q₈×C₁₃	—	8	4	no	—
437	D₄×C₁₃	—	2	8	no	—
438	D₄×C₁₃	—	4	8	no	—
439	D₄×C₁₃	—	4	8	no	—
440	D₄×C₁₃	—	4	4	no	—
441	D₄×C₁₃	—	4	4	no	—
442	D₄×C₁₃	—	8	4	no	—
443	D₄×C₁₃	—	8	4	no	—
444	D₄×C₁₃	—	8	4	no	—
445	D₄×C₁₃	—	8	4	no	—
446	C₂×C₄×C₁₃	—	2	1	no	—
447	C₂×C₄×C₁₃	—	2	1	no	—
448	C₂×C₄×C₁₃	—	2	1	no	—
449	C₂×C₄×C₁₃	—	2	1	no	—
450	C₂×C₄×C₁₃	—	2	1	no	—
451	C₂×C₄×C₁₃	—	2	1	no	—
452	C₂×C₄×C₁₃	—	2	1	no	—
453	C₂×C₄×C₁₃	—	2	1	no	—
454	C₂×C₄×C₁₃	—	2	1	no	—
455	C₂×C₄×C₁₃	—	2	1	no	—
456	C₂×C₄×C₁₃	—	2	1	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	1	no	—
459	C₂×C₄×C₁₃	—	2	1	no	—
460	C₂×C₄×C₁₃	—	2	8	no	—
461	C₂×C₄×C₁₃	—	2	1	no	—
462	C₂×C₄×C₁₃	—	2	2	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	1	no	—
465	C₂×C₄×C₁₃	—	2	1	no	—
466	C₂×C₄×C₁₃	—	2	1	no	—
467	C₂×C₄×C₁₃	—	2	1	no	—
468	C₂×C₄×C₁₃	—	2	2	no	—
469	C₂×C₄×C₁₃	—	2	2	no	—
470	C₂×C₄×C₁₃	—	2	2	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	1	no	—
473	C₂×C₄×C₁₃	—	2	1	no	—
474	C₂×C₄×C₁₃	—	2	1	no	—
475	C₂×C₄×C₁₃	—	2	1	no	—
476	C₂×C₄×C₁₃	—	2	1	no	—
477	C₂×C₄×C₁₃	—	2	2	no	—
478	C₂×C₄×C₁₃	—	2	2	no	—
479	C₂×C₄×C₁₃	—	2	2	no	—
480	C₂×C₄×C₁₃	—	2	2	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	1	no	—
484	C₂×C₄×C₁₃	—	2	1	no	—
485	C₂×C₄×C₁₃	—	2	2	no	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	2	no	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	1	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	4	4	no	—
495	C₂×C₄×C₁₃	—	4	4	no	—
496	C₂×C₄×C₁₃	—	4	4	no	—
497	C₂×C₄×C₁₃	—	4	4	no	—
498	C₂×C₄×C₁₃	—	4	8	no	—
499	C₂×C₄×C₁₃	—	4	4	no	—
500	C₂×C₄×C₁₃	—	8	4	no	—
501	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
502	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
503	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
504	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
505	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
506	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
507	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
508	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
509	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
510	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
511	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
512	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
513	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
514	C₂×#124	C₂²×C₁₃	1	2	yes	—
515	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
516	C₂×#124	C₂²×C₁₃	1	2	yes	—
517	C₂×#123	C₂²×C₁₃	1	2	yes	—
518	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
519	C₂×#121	C₂²×C₁₃	1	2	yes	—
520	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
521	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
522	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
523	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
524	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
525	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
526	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
527	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
528	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
529	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
530	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
531	#400	C₂²×C₁₃	1	2	yes	—
532	#397	C₂²×C₁₃	1	2	yes	—
533	#397	C₂²×C₁₃	1	2	yes	—
534	#397	C₂²×C₁₃	1	2	yes	—
535	#397	C₂²×C₁₃	1	2	yes	—
536	#396	C₂²×C₁₃	1	2	yes	—
537	#394	C₂²×C₁₃	1	2	yes	—
538	#394	C₂²×C₁₃	1	2	yes	—
539	#394	C₂²×C₁₃	1	2	yes	—
540	#393	C₂²×C₁₃	1	2	yes	—
541	#393	C₂²×C₁₃	1	2	yes	—
542	#392	C₂²×C₁₃	1	2	yes	—
543	#392	C₂²×C₁₃	1	2	yes	—
544	#392	C₂²×C₁₃	1	2	yes	—
545	#392	C₂²×C₁₃	1	2	yes	—
546	#392	C₂²×C₁₃	1	2	yes	—
547	#391	C₂²×C₁₃	1	2	yes	—
548	#391	C₂²×C₁₃	1	2	yes	—
549	#391	C₂²×C₁₃	1	1	yes	characteristic
550	#391	C₂²×C₁₃	1	1	yes	characteristic
551	#391	C₂²×C₁₃	1	1	yes	characteristic
552	#391	C₂²×C₁₃	1	1	yes	characteristic
553	#390	C₂²×C₁₃	1	2	yes	—
554	#390	C₂²×C₁₃	1	2	yes	—
555	#390	C₂²×C₁₃	1	1	yes	characteristic
556	#390	C₂²×C₁₃	1	2	yes	—
557	#390	C₂²×C₁₃	1	1	yes	characteristic
558	#390	C₂²×C₁₃	1	1	yes	characteristic
559	#390	C₂²×C₁₃	1	1	yes	characteristic
560	#390	C₂²×C₁₃	1	1	yes	characteristic
561	#390	C₂²×C₁₃	1	1	yes	characteristic
562	#389	C₂²×C₁₃	1	1	yes	characteristic
563	#389	C₂²×C₁₃	1	1	yes	characteristic
564	#389	C₂²×C₁₃	1	1	yes	characteristic
565	#389	C₂²×C₁₃	1	1	yes	characteristic
566	#388	C₂²×C₁₃	1	2	yes	—
567	#388	C₂²×C₁₃	1	2	yes	—
568	#388	C₂²×C₁₃	1	2	yes	—
569	#388	C₂²×C₁₃	1	2	yes	—
570	#388	C₂²×C₁₃	1	2	yes	—
571	#388	C₂²×C₁₃	1	2	yes	—
572	#388	C₂²×C₁₃	1	2	yes	—
573	#388	C₂²×C₁₃	1	2	yes	—
574	#388	C₂²×C₁₃	1	2	yes	—
575	#387	C₂²×C₁₃	1	2	yes	—
576	#387	C₂²×C₁₃	1	2	yes	—
577	#387	C₂²×C₁₃	1	2	yes	—
578	#387	C₂²×C₁₃	1	2	yes	—
579	#386	C₂²×C₁₃	1	2	yes	—
580	#386	C₂²×C₁₃	1	2	yes	—
581	#386	C₂²×C₁₃	1	2	yes	—
582	#386	C₂²×C₁₃	1	2	yes	—
583	#386	C₂²×C₁₃	1	2	yes	—
584	#386	C₂²×C₁₃	1	2	yes	—
585	#386	C₂²×C₁₃	1	2	yes	—
586	#386	C₂²×C₁₃	1	2	yes	—
587	#386	C₂²×C₁₃	1	2	yes	—
588	#386	C₂²×C₁₃	1	2	yes	—
589	#385	C₂²×C₁₃	1	2	yes	—
590	#385	C₂²×C₁₃	1	2	yes	—
591	#383	C₂²×C₁₃	1	2	yes	—
592	#382	C₂²×C₁₃	1	1	yes	characteristic
593	#381	C₂²×C₁₃	1	2	yes	—
594	#380	C₂²×C₁₃	1	1	yes	characteristic
595	#380	C₂²×C₁₃	1	1	yes	characteristic
596	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
597	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
598	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
599	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
600	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
601	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
602	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
603	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
604	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
605	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
606	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
607	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
608	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
609	C₄³	C₂²×C₁₃	1	1	yes	characteristic
610	C₂²×C₁₃	—	2	2	no	—
611	C₂²×C₁₃	—	2	2	no	—
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	2	2	no	—
614	C₂²×C₁₃	—	2	2	no	—
615	C₂²×C₁₃	—	2	2	no	—
616	C₂²×C₁₃	—	4	1	no	—
617	C₂²×C₁₃	—	4	1	no	—
618	C₂²×C₁₃	—	4	1	no	—
619	C₂²×C₁₃	—	4	1	no	—
620	C₂²×C₁₃	—	4	1	no	—
621	C₂²×C₁₃	—	4	1	no	—
622	C₂²×C₁₃	—	4	1	no	—
623	C₂²×C₁₃	—	4	1	no	—
624	C₂²×C₁₃	—	4	2	no	—
625	C₂²×C₁₃	—	4	2	no	—
626	C₂²×C₁₃	—	4	2	no	—
627	C₂²×C₁₃	—	4	2	no	—
628	C₂²×C₁₃	—	4	2	no	—
629	C₂²×C₁₃	—	4	2	no	—
630	C₂²×C₁₃	—	4	2	no	—
631	C₂²×C₁₃	—	4	2	no	—
632	C₂²×C₁₃	—	4	2	no	—
633	C₂²×C₁₃	—	4	2	no	—
634	C₂²×C₁₃	—	4	2	no	—
635	C₂²×C₁₃	—	4	2	no	—
636	C₂²×C₁₃	—	4	2	no	—
637	C₂²×C₁₃	—	4	2	no	—
638	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
639	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
640	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
641	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
642	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
643	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
644	C₂²×C₁₃	#585	1	1	yes	characteristic
645	C₄×C₁₃	—	2	2	no	—
646	C₄×C₁₃	—	2	2	no	—
647	C₄×C₁₃	—	2	2	no	—
648	C₄×C₁₃	—	2	2	no	—
649	C₄×C₁₃	—	2	2	no	—
650	C₄×C₁₃	—	2	2	no	—
651	C₄×C₁₃	—	2	2	no	—
652	C₄×C₁₃	—	4	1	no	—
653	C₄×C₁₃	—	4	2	no	—
654	C₄×C₁₃	—	4	1	no	—
655	C₄×C₁₃	—	4	2	no	—
656	C₄×C₁₃	—	4	1	no	—
657	C₄×C₁₃	—	4	1	no	—
658	C₄×C₁₃	—	4	2	no	—
659	C₄×C₁₃	—	4	2	no	—
660	C₄×C₁₃	—	4	2	no	—
661	C₄×C₁₃	—	4	1	no	—
662	C₄×C₁₃	—	4	2	no	—
663	C₄×C₁₃	#538	1	4	yes	—
664	C₂×#41	—	2	4	no	—
665	C₂×#41	—	4	2	no	—
666	C₂×#41	—	4	2	no	—
667	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
668	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
669	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
670	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
671	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
672	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
673	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
674	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
675	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
676	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
677	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
678	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
679	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
680	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
681	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
682	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
683	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
684	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
685	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
686	C₄⋊Q₈	—	4	2	no	—
687	#127	—	4	2	no	—
688	#124	—	2	8	no	—
689	#124	—	4	4	no	—
690	#124	—	4	2	no	—
691	#123	—	4	4	no	—
692	C₂²⋊Q₈	—	4	2	no	—
693	#121	—	2	4	no	—
694	#121	—	2	8	no	—
695	#121	—	4	2	no	—
696	#121	—	4	2	no	—
697	C₄×D₄	—	2	4	no	—
698	C₄×D₄	—	2	4	no	—
699	C₄×D₄	—	2	4	no	—
700	C₄×D₄	—	4	2	no	—
701	C₄×D₄	—	4	4	no	—
702	#117	—	4	2	no	—
703	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
707	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
712	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
714	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
715	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
716	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
723	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
728	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
738	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
745	C₂×C₄²	—	4	2	no	—
746	C₂×C₄²	—	4	2	no	—
747	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
748	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
750	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
753	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
754	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
755	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
756	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
757	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
759	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
760	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
761	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
762	#95	C₂³×C₁₃	1	1	yes	characteristic
763	#95	C₂³×C₁₃	1	1	yes	characteristic
764	#95	C₂³×C₁₃	1	1	yes	characteristic
765	#95	C₂³×C₁₃	1	1	yes	characteristic
766	#95	C₂³×C₁₃	1	1	yes	characteristic
767	#95	C₂³×C₁₃	1	1	yes	characteristic
768	#95	C₂³×C₁₃	1	2	yes	—
769	#95	C₂³×C₁₃	1	2	yes	—
770	#95	C₂³×C₁₃	1	2	yes	—
771	#95	C₂³×C₁₃	1	2	yes	—
772	#95	C₂³×C₁₃	1	2	yes	—
773	#95	C₂³×C₁₃	1	2	yes	—
774	#95	C₂³×C₁₃	1	2	yes	—
775	#95	C₂³×C₁₃	1	2	yes	—
776	#95	C₂³×C₁₃	1	2	yes	—
777	#95	C₂³×C₁₃	1	2	yes	—
778	#95	C₂³×C₁₃	1	2	yes	—
779	#95	C₂³×C₁₃	1	2	yes	—
780	#95	C₂³×C₁₃	1	2	yes	—
781	#95	C₂³×C₁₃	1	2	yes	—
782	#95	C₂³×C₁₃	1	2	yes	—
783	#95	C₂³×C₁₃	1	2	yes	—
784	#95	C₂³×C₁₃	1	2	yes	—
785	C₂×C₁₃	—	4	2	no	—
786	C₂×C₁₃	—	4	2	no	—
787	C₂×C₁₃	—	8	2	no	—
788	C₂×C₁₃	—	8	2	no	—
789	C₂×C₁₃	#3444	1	1	yes	characteristic
790	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
791	C₂×C₁₃	#3460	1	1	yes	characteristic
792	C₂×C₁₃	#3506	1	1	yes	characteristic
793	C₂×C₁₃	#3508	1	1	yes	characteristic
794	C₂×C₁₃	#3514	1	1	yes	characteristic
795	C₂×C₁₃	#3519	1	1	yes	characteristic
796	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
797	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
798	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
799	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
800	#41	—	4	16	no	—
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	4	no	—
803	C₂×Q₈	—	2	2	no	—
804	C₂×Q₈	—	2	2	no	—
805	C₂×Q₈	—	4	2	no	—
806	C₂×Q₈	—	4	2	no	—
807	C₂×D₄	—	2	2	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	2	4	no	—
812	C₂×D₄	—	2	4	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	2	no	—
816	C₂×D₄	—	2	4	no	—
817	C₂×D₄	—	2	4	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	4	2	no	—
823	C₂×D₄	—	4	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	4	2	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	—	4	2	no	—
832	C₂×D₄	—	4	2	no	—
833	C₂×D₄	—	4	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	4	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	2	2	no	—
844	C₂²×C₄	—	2	2	no	—
845	C₂²×C₄	—	2	2	no	—
846	C₂²×C₄	—	2	4	no	—
847	C₂²×C₄	—	4	1	no	—
848	C₂²×C₄	—	4	1	no	—
849	C₂²×C₄	—	4	1	no	—
850	C₂²×C₄	—	4	1	no	—
851	C₂²×C₄	—	4	2	no	—
852	C₂²×C₄	—	4	2	no	—
853	C₂²×C₄	—	4	1	no	—
854	C₂²×C₄	—	4	1	no	—
855	C₂²×C₄	—	4	2	no	—
856	C₂²×C₄	—	4	2	no	—
857	C₂²×C₄	C₁₃×#41	1	4	yes	—
858	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
859	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
860	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
861	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
868	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
869	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
872	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
873	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
874	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
875	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
876	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	4	no	—
882	C₄⋊C₄	—	2	2	no	—
883	C₄⋊C₄	—	2	2	no	—
884	C₄⋊C₄	—	2	2	no	—
885	C₄⋊C₄	—	2	4	no	—
886	C₄⋊C₄	—	2	2	no	—
887	C₄⋊C₄	—	4	2	no	—
888	C₄⋊C₄	—	4	2	no	—
889	C₄⋊C₄	—	4	2	no	—
890	C₄⋊C₄	—	4	2	no	—
891	C₂²⋊C₄	—	2	2	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	4	no	—
897	C₂²⋊C₄	—	2	4	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	4	no	—
900	C₂²⋊C₄	—	2	4	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	4	2	no	—
905	C₂²⋊C₄	—	4	2	no	—
906	C₂²⋊C₄	—	4	2	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	—	4	2	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₂²⋊C₄	—	4	2	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	—	4	2	no	—
915	C₂²⋊C₄	—	4	2	no	—
916	C₂²⋊C₄	—	4	2	no	—
917	C₂²⋊C₄	—	4	2	no	—
918	C₂²⋊C₄	C₁₃×#41	1	4	yes	complemented
919	C₄²	—	2	2	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	2	no	—
922	C₄²	—	2	2	no	—
923	C₄²	—	2	2	no	—
924	C₄²	—	2	2	no	—
925	C₄²	—	2	2	no	—
926	C₄²	—	4	1	no	—
927	C₄²	—	4	1	no	—
928	C₄²	—	4	1	no	—
929	C₄²	—	4	1	no	—
930	C₄²	—	4	2	no	—
931	C₄²	—	4	2	no	—
932	C₄²	—	4	1	no	—
933	C₄²	C₁₃×#41	1	4	yes	complemented
934	C₁₃	#35044	1	1	yes	characteristic, direct product factor, Sylow
935	C₂³	—	2	1	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	2	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	C₂×C₁₃×#41	1	2	yes	—
962	C₂³	C₂×C₁₃×#41	1	2	yes	—
963	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
964	Q₈	—	4	4	no	—
965	Q₈	—	8	4	no	—
966	D₄	—	2	8	no	—
967	D₄	—	4	8	no	—
968	D₄	—	4	8	no	—
969	D₄	—	4	4	no	—
970	D₄	—	4	4	no	—
971	D₄	—	8	4	no	—
972	D₄	—	8	4	no	—
973	D₄	—	8	4	no	—
974	D₄	—	8	4	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	8	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	2	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	2	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	2	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	2	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	4	4	no	—
1024	C₂×C₄	—	4	4	no	—
1025	C₂×C₄	—	4	4	no	—
1026	C₂×C₄	—	4	4	no	—
1027	C₂×C₄	—	4	8	no	—
1028	C₂×C₄	—	4	4	no	—
1029	C₂×C₄	—	8	4	no	—
1030	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1031	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1032	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1033	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1034	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1035	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1036	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1037	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1038	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1039	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	2	2	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	2	no	—
1045	C₂²	—	2	2	no	—
1046	C₂²	—	4	1	no	—
1047	C₂²	—	4	1	no	—
1048	C₂²	—	4	1	no	—
1049	C₂²	—	4	1	no	—
1050	C₂²	—	4	1	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	4	2	no	—
1063	C₂²	—	4	2	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1069	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1070	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1071	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1072	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1073	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1074	C₂²	C₁₃×#585	1	1	yes	characteristic
1075	C₄	—	2	2	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	2	2	no	—
1080	C₄	—	2	2	no	—
1081	C₄	—	2	2	no	—
1082	C₄	—	4	1	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	1	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	2	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	2	no	—
1093	C₄	C₁₃×#538	1	4	yes	—
1094	C₂	—	4	2	no	—
1095	C₂	—	4	2	no	—
1096	C₂	—	8	2	no	—
1097	C₂	—	8	2	no	—
1098	C₂	C₁₃×#3444	1	1	yes	characteristic
1099	C₂	C₂×C₁₃×#538	1	1	yes	characteristic
1100	C₂	C₁₃×#3460	1	1	yes	characteristic
1101	C₂	C₁₃×#3506	1	1	yes	characteristic
1102	C₂	C₁₃×#3508	1	1	yes	characteristic
1103	C₂	C₁₃×#3514	1	1	yes	characteristic
1104	C₂	C₁₃×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2863	C₂	semidirect
2. C₁₃×#2858	C₂	semidirect
3. C₁₃×#2854	C₂	semidirect
4. C₁₃×#2850	C₂	semidirect
5. C₁₃×#2648	C₂	semidirect
6. C₁₃×#2631	C₂	semidirect
7. C₁₃×#2597	C₂	semidirect
8. C₁₃×#2557	C₂	semidirect
9. C₁₃×#2513	C₂	semidirect
10. C₁₃×#2492	C₂	semidirect
11. C₁₃×#2459	C₂	semidirect
12. C₁₃×#2456	C₂	semidirect
13. C₁₃×#2447	C₂	semidirect
14. C₁₃×#2439	C₂	semidirect
15. C₁₃×#2431	C₂	semidirect
16. C₁₃×#2428	C₂	semidirect
17. C₁₃×#2414	C₂	semidirect
18. C₁₃×#2407	C₂	semidirect
19. C₁₃×#2337	C₂	semidirect
20. C₁₃×#2333	C₂	semidirect
21. C₄×C₁₃×#121	C₂	semidirect
22. C₁₃×#2297	C₂	semidirect
23. C₄²×D₄×C₁₃	C₂	semidirect
244. #35044	C₁₃	direct (N × H)
367. C₁₃×C₂²⋊C₄	#41	semidirect
382. C₄²×C₁₃	#41	semidirect
383. #2863	C₂×C₁₃	semidirect
384. #2858	C₂×C₁₃	semidirect
385. #2854	C₂×C₁₃	semidirect
386. #2850	C₂×C₁₃	semidirect
387. #2648	C₂×C₁₃	semidirect
388. #2631	C₂×C₁₃	semidirect
389. #2597	C₂×C₁₃	semidirect
390. #2557	C₂×C₁₃	semidirect
391. #2513	C₂×C₁₃	semidirect
392. #2492	C₂×C₁₃	semidirect
393. #2459	C₂×C₁₃	semidirect
394. #2456	C₂×C₁₃	semidirect
395. #2447	C₂×C₁₃	semidirect
396. #2439	C₂×C₁₃	semidirect
397. #2431	C₂×C₁₃	semidirect
398. #2428	C₂×C₁₃	semidirect
399. #2414	C₂×C₁₃	semidirect
400. #2407	C₂×C₁₃	semidirect
401. #2337	C₂×C₁₃	semidirect
402. #2333	C₂×C₁₃	semidirect
403. C₄×#121	C₂×C₁₃	semidirect
404. #2297	C₂×C₁₃	semidirect
405. C₄²×D₄	C₂×C₁₃	semidirect
918. C₂²⋊C₄	C₁₃×#41	semidirect
933. C₄²	C₁₃×#41	semidirect
934. C₁₃	#35044	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×#2863	2
C₁₃×#2858	2
C₁₃×#2854	2
C₁₃×#2850	2
C₁₃×#2648	2
C₁₃×#2631	2
C₁₃×#2597	2
C₁₃×#2557	2
C₁₃×#2513	2
C₁₃×#2492	2
C₁₃×#2459	2
C₁₃×#2456	2
C₁₃×#2447	2
C₁₃×#2439	2
C₁₃×#2431	2
C₁₃×#2428	2
C₁₃×#2414	2
C₁₃×#2407	2
C₁₃×#2337	2
C₁₃×#2333	2
C₄×C₁₃×#121	2
C₁₃×#2297	2
C₄²×D₄×C₁₃	2
#35044	13

Subgroups — C13×#35044 #15721383

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#35044 #15721383