Subgroups — C₁₃×#36737 #15723076

Order 3328.

2954 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#534	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2847	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2717	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2709	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2708	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2688	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2686	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2684	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2673	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2671	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2669	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2668	C₂	1	2	yes	maximal, complemented
14	C₁₃×#2617	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2498	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2430	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2412	C₂	1	2	yes	maximal, complemented
18	C₁₃×#2410	C₂	1	2	yes	maximal, complemented
19	C₂×C₁₃×#386	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
21	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
22	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
23	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
24	C₁₃×#535	—	2	8	no	—
25	C₁₃×#534	—	2	8	no	—
26	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₁₃×#123	C₂²	1	2	yes	—
31	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#121	C₂²	1	2	yes	—
35	C₂×C₁₃×#121	C₂²	1	2	yes	—
36	C₂×C₁₃×#121	C₂²	1	2	yes	—
37	C₂×C₁₃×#121	C₂²	1	2	yes	—
38	C₂×C₁₃×#121	C₂²	1	2	yes	—
39	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
40	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
41	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
42	C₂×C₁₃×#120	C₂²	1	2	yes	—
43	C₂×C₁₃×#120	C₂²	1	2	yes	—
44	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
47	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
48	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
51	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#400	C₂²	1	2	yes	complemented
53	C₁₃×#399	C₂²	1	2	yes	complemented
54	C₁₃×#398	C₂²	1	2	yes	complemented
55	C₁₃×#397	C₂²	1	2	yes	complemented
56	C₁₃×#397	C₂²	1	2	yes	complemented
57	C₁₃×#397	C₂²	1	2	yes	complemented
58	C₁₃×#397	C₂²	1	2	yes	complemented
59	C₁₃×#397	C₂²	1	2	yes	complemented
60	C₁₃×#395	C₂²	1	2	yes	complemented
61	C₁₃×#394	C₂²	1	2	yes	complemented
62	C₁₃×#394	C₂²	1	2	yes	complemented
63	C₁₃×#394	C₂²	1	2	yes	complemented
64	C₁₃×#394	C₂²	1	2	yes	complemented
65	C₁₃×#394	C₂²	1	2	yes	complemented
66	C₁₃×#394	C₂²	1	2	yes	complemented
67	C₁₃×#394	C₂²	1	2	yes	complemented
68	C₁₃×#394	C₂²	1	2	yes	complemented
69	C₁₃×#394	C₂²	1	2	yes	complemented
70	C₁₃×#393	C₂²	1	2	yes	complemented
71	C₁₃×#392	C₂²	1	2	yes	complemented
72	C₁₃×#392	C₂²	1	2	yes	complemented
73	C₁₃×#392	C₂²	1	2	yes	complemented
74	C₁₃×#392	C₂²	1	2	yes	complemented
75	C₁₃×#392	C₂²	1	2	yes	complemented
76	C₁₃×#388	C₂²	1	2	yes	complemented
77	C₁₃×#388	C₂²	1	2	yes	complemented
78	C₁₃×#387	C₂²	1	2	yes	complemented
79	C₁₃×#387	C₂²	1	2	yes	complemented
80	C₁₃×#386	C₂²	1	2	yes	—
81	C₁₃×#386	C₂²	1	2	yes	—
82	C₁₃×#386	C₂²	1	2	yes	—
83	C₁₃×#386	C₂²	1	1	yes	characteristic
84	C₁₃×#386	C₂²	1	1	yes	characteristic
85	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#386	C₂²	1	2	yes	complemented
87	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#386	C₂²	1	2	yes	complemented
89	C₁₃×#386	C₂²	1	2	yes	complemented
90	C₁₃×#386	C₂²	1	2	yes	complemented
91	C₁₃×#386	C₂²	1	2	yes	complemented
92	C₁₃×#386	C₂²	1	2	yes	complemented
93	C₁₃×#386	C₂²	1	2	yes	complemented
94	C₁₃×#386	C₂²	1	2	yes	complemented
95	C₁₃×#386	C₂²	1	2	yes	complemented
96	C₁₃×#386	C₂²	1	2	yes	complemented
97	C₁₃×#386	C₂²	1	2	yes	complemented
98	C₁₃×#385	C₂²	1	2	yes	complemented
99	C₁₃×#385	C₂²	1	2	yes	complemented
100	C₁₃×#385	C₂²	1	2	yes	complemented
101	C₁₃×#385	C₂²	1	2	yes	complemented
102	C₁₃×#381	C₂²	1	2	yes	complemented
103	C₁₃×#380	C₂²	1	2	yes	complemented
104	C₁₃×#380	C₂²	1	2	yes	complemented
105	C₁₃×#380	C₂²	1	2	yes	complemented
106	C₁₃×#380	C₂²	1	2	yes	complemented
107	C₁₃×#379	C₂²	1	2	yes	complemented
108	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
109	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
110	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
111	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
112	C₂×C₁₃×#41	—	2	4	no	—
113	C₂×C₁₃×#41	—	4	2	no	—
114	C₂×C₁₃×#41	—	4	2	no	—
115	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
116	C₂²×D₄×C₁₃	—	2	4	no	—
117	C₂²×D₄×C₁₃	—	4	2	no	—
118	C₂²×D₄×C₁₃	—	4	2	no	—
119	C₂²×D₄×C₁₃	—	4	2	no	—
120	C₂²×D₄×C₁₃	—	4	2	no	—
121	C₂²×D₄×C₁₃	D₄	1	8	yes	complemented
122	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
123	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
124	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
127	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
130	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
131	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
134	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃	—	4	4	no	—
139	C₂³×C₄×C₁₃	—	4	2	no	—
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₁₃×#127	—	2	4	no	—
150	C₁₃×#127	—	2	4	no	—
151	C₁₃×#124	—	2	4	no	—
152	C₁₃×#124	—	2	4	no	—
153	C₁₃×#123	—	2	4	no	—
154	C₁₃×#123	—	2	4	no	—
155	C₁₃×#123	—	2	8	no	—
156	C₁₃×#123	—	4	4	no	—
157	C₁₃×#121	—	2	8	no	—
158	C₁₃×#121	—	2	8	no	—
159	C₁₃×#121	—	2	8	no	—
160	C₁₃×#121	—	2	8	no	—
161	C₁₃×#121	—	4	4	no	—
162	C₁₃×#121	—	4	4	no	—
163	C₁₃×#121	—	4	4	no	—
164	C₁₃×#121	—	4	4	no	—
165	C₁₃×#120	—	2	8	no	—
166	C₁₃×#120	—	2	8	no	—
167	C₁₃×#120	—	2	8	no	—
168	C₁₃×#120	—	2	4	no	—
169	C₁₃×#120	—	2	4	no	—
170	C₁₃×#120	—	4	4	no	—
171	C₁₃×#117	—	2	4	no	—
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×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
182	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
183	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
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	1	yes	characteristic
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₁₃×#95	C₂³	1	2	yes	—
218	C₁₃×#95	C₂³	1	2	yes	—
219	C₁₃×#95	C₂³	1	2	yes	—
220	C₁₃×#95	C₂³	1	2	yes	—
221	C₁₃×#95	C₂³	1	2	yes	—
222	C₁₃×#95	C₂³	1	2	yes	—
223	C₁₃×#95	C₂³	1	2	yes	—
224	C₁₃×#95	C₂³	1	2	yes	—
225	C₁₃×#95	C₂³	1	2	yes	—
226	C₁₃×#95	C₂³	1	2	yes	—
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	#36737	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
234	C₂⁴×C₁₃	—	2	2	no	—
235	C₂⁴×C₁₃	—	2	2	no	—
236	C₂⁴×C₁₃	—	2	2	no	—
237	C₂⁴×C₁₃	—	2	2	no	—
238	C₂⁴×C₁₃	—	2	2	no	—
239	C₂⁴×C₁₃	—	4	2	no	—
240	C₂⁴×C₁₃	—	4	2	no	—
241	C₂⁴×C₁₃	—	4	2	no	—
242	C₂⁴×C₁₃	—	4	1	no	—
243	C₂⁴×C₁₃	—	4	1	no	—
244	C₂⁴×C₁₃	—	4	2	no	—
245	C₂⁴×C₁₃	—	4	2	no	—
246	C₂⁴×C₁₃	—	4	2	no	—
247	C₂⁴×C₁₃	C₂×D₄	1	4	yes	—
248	C₂⁴×C₁₃	C₂×D₄	1	4	yes	—
249	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
250	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
251	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
252	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
253	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
254	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
255	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
256	C₁₃×#41	—	4	16	no	—
257	C₂×Q₈×C₁₃	—	2	2	no	—
258	C₂×Q₈×C₁₃	—	4	1	no	—
259	C₂×Q₈×C₁₃	—	4	1	no	—
260	C₂×D₄×C₁₃	—	2	4	no	—
261	C₂×D₄×C₁₃	—	2	4	no	—
262	C₂×D₄×C₁₃	—	2	4	no	—
263	C₂×D₄×C₁₃	—	2	4	no	—
264	C₂×D₄×C₁₃	—	2	4	no	—
265	C₂×D₄×C₁₃	—	2	4	no	—
266	C₂×D₄×C₁₃	—	2	4	no	—
267	C₂×D₄×C₁₃	—	2	4	no	—
268	C₂×D₄×C₁₃	—	2	4	no	—
269	C₂×D₄×C₁₃	—	2	4	no	—
270	C₂×D₄×C₁₃	—	2	4	no	—
271	C₂×D₄×C₁₃	—	2	4	no	—
272	C₂×D₄×C₁₃	—	2	4	no	—
273	C₂×D₄×C₁₃	—	2	2	no	—
274	C₂×D₄×C₁₃	—	2	4	no	—
275	C₂×D₄×C₁₃	—	4	16	no	—
276	C₂×D₄×C₁₃	—	4	1	no	—
277	C₂×D₄×C₁₃	—	4	1	no	—
278	C₂×D₄×C₁₃	—	4	1	no	—
279	C₂×D₄×C₁₃	—	4	1	no	—
280	C₂×D₄×C₁₃	—	4	1	no	—
281	C₂×D₄×C₁₃	—	4	1	no	—
282	C₂×D₄×C₁₃	—	4	1	no	—
283	C₂×D₄×C₁₃	—	4	1	no	—
284	C₂×D₄×C₁₃	—	4	2	no	—
285	C₂×D₄×C₁₃	—	4	2	no	—
286	C₂×D₄×C₁₃	—	4	1	no	—
287	C₂×D₄×C₁₃	—	4	1	no	—
288	C₂×D₄×C₁₃	—	4	2	no	—
289	C₂×D₄×C₁₃	—	4	2	no	—
290	C₂×D₄×C₁₃	—	4	2	no	—
291	C₂×D₄×C₁₃	—	4	2	no	—
292	C₂×D₄×C₁₃	—	4	2	no	—
293	C₂×D₄×C₁₃	—	4	2	no	—
294	C₂×D₄×C₁₃	—	4	2	no	—
295	C₂×D₄×C₁₃	—	4	2	no	—
296	C₂×D₄×C₁₃	—	4	2	no	—
297	C₂×D₄×C₁₃	—	4	2	no	—
298	C₂×D₄×C₁₃	—	4	2	no	—
299	C₂×D₄×C₁₃	—	4	2	no	—
300	C₂×D₄×C₁₃	—	4	2	no	—
301	C₂×D₄×C₁₃	—	4	2	no	—
302	C₂×D₄×C₁₃	—	4	2	no	—
303	C₂×D₄×C₁₃	—	4	2	no	—
304	C₂×D₄×C₁₃	—	4	2	no	—
305	C₂×D₄×C₁₃	—	4	16	no	—
306	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
307	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
308	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
309	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
310	C₂²×C₄×C₁₃	—	2	2	no	—
311	C₂²×C₄×C₁₃	—	2	2	no	—
312	C₂²×C₄×C₁₃	—	2	2	no	—
313	C₂²×C₄×C₁₃	—	2	4	no	—
314	C₂²×C₄×C₁₃	—	2	4	no	—
315	C₂²×C₄×C₁₃	—	2	4	no	—
316	C₂²×C₄×C₁₃	—	2	4	no	—
317	C₂²×C₄×C₁₃	—	2	4	no	—
318	C₂²×C₄×C₁₃	—	2	4	no	—
319	C₂²×C₄×C₁₃	—	2	4	no	—
320	C₂²×C₄×C₁₃	—	4	1	no	—
321	C₂²×C₄×C₁₃	—	4	2	no	—
322	C₂²×C₄×C₁₃	—	4	2	no	—
323	C₂²×C₄×C₁₃	—	4	2	no	—
324	C₂²×C₄×C₁₃	—	4	2	no	—
325	C₂²×C₄×C₁₃	—	4	1	no	—
326	C₂²×C₄×C₁₃	—	4	1	no	—
327	C₂²×C₄×C₁₃	—	4	1	no	—
328	C₂²×C₄×C₁₃	—	4	2	no	—
329	C₂²×C₄×C₁₃	—	4	2	no	—
330	C₂²×C₄×C₁₃	—	4	2	no	—
331	C₂²×C₄×C₁₃	—	4	2	no	—
332	C₂²×C₄×C₁₃	—	4	2	no	—
333	C₂²×C₄×C₁₃	—	4	2	no	—
334	C₂²×C₄×C₁₃	—	4	16	no	—
335	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
336	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
339	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
348	C₁₃×C₄⋊C₄	—	2	4	no	—
349	C₁₃×C₄⋊C₄	—	2	4	no	—
350	C₁₃×C₄⋊C₄	—	2	4	no	—
351	C₁₃×C₄⋊C₄	—	2	4	no	—
352	C₁₃×C₄⋊C₄	—	4	2	no	—
353	C₁₃×C₄⋊C₄	—	4	2	no	—
354	C₁₃×C₄⋊C₄	—	4	2	no	—
355	C₁₃×C₄⋊C₄	—	4	2	no	—
356	C₁₃×C₄⋊C₄	—	4	2	no	—
357	C₁₃×C₂²⋊C₄	—	2	2	no	—
358	C₁₃×C₂²⋊C₄	—	2	2	no	—
359	C₁₃×C₂²⋊C₄	—	2	4	no	—
360	C₁₃×C₂²⋊C₄	—	2	4	no	—
361	C₁₃×C₂²⋊C₄	—	2	4	no	—
362	C₁₃×C₂²⋊C₄	—	2	4	no	—
363	C₁₃×C₂²⋊C₄	—	2	4	no	—
364	C₁₃×C₂²⋊C₄	—	2	4	no	—
365	C₁₃×C₂²⋊C₄	—	2	4	no	—
366	C₁₃×C₂²⋊C₄	—	2	4	no	—
367	C₁₃×C₂²⋊C₄	—	2	4	no	—
368	C₁₃×C₂²⋊C₄	—	2	4	no	—
369	C₁₃×C₂²⋊C₄	—	2	4	no	—
370	C₁₃×C₂²⋊C₄	—	2	4	no	—
371	C₁₃×C₂²⋊C₄	—	2	4	no	—
372	C₁₃×C₂²⋊C₄	—	2	4	no	—
373	C₁₃×C₂²⋊C₄	—	4	2	no	—
374	C₁₃×C₂²⋊C₄	—	4	2	no	—
375	C₁₃×C₂²⋊C₄	—	4	1	no	—
376	C₁₃×C₂²⋊C₄	—	4	2	no	—
377	C₁₃×C₂²⋊C₄	—	4	1	no	—
378	C₁₃×C₂²⋊C₄	—	4	2	no	—
379	C₁₃×C₂²⋊C₄	—	4	2	no	—
380	C₁₃×C₂²⋊C₄	—	4	2	no	—
381	C₁₃×C₂²⋊C₄	—	4	2	no	—
382	C₁₃×C₂²⋊C₄	—	4	2	no	—
383	C₁₃×C₂²⋊C₄	—	4	2	no	—
384	C₁₃×C₂²⋊C₄	—	4	2	no	—
385	C₁₃×C₂²⋊C₄	—	4	2	no	—
386	C₁₃×C₂²⋊C₄	—	4	2	no	—
387	C₁₃×C₂²⋊C₄	—	4	2	no	—
388	C₄²×C₁₃	—	2	2	no	—
389	C₄²×C₁₃	—	2	2	no	—
390	C₂×#535	C₂×C₁₃	1	1	yes	characteristic, complemented
391	C₂×#534	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#2847	C₂×C₁₃	1	2	yes	complemented
393	#2717	C₂×C₁₃	1	1	yes	characteristic, complemented
394	#2709	C₂×C₁₃	1	1	yes	characteristic, complemented
395	#2708	C₂×C₁₃	1	2	yes	complemented
396	#2688	C₂×C₁₃	1	2	yes	complemented
397	#2686	C₂×C₁₃	1	2	yes	complemented
398	#2684	C₂×C₁₃	1	1	yes	characteristic, complemented
399	#2673	C₂×C₁₃	1	2	yes	complemented
400	#2671	C₂×C₁₃	1	2	yes	complemented
401	#2669	C₂×C₁₃	1	1	yes	characteristic, complemented
402	#2668	C₂×C₁₃	1	2	yes	complemented
403	#2617	C₂×C₁₃	1	2	yes	complemented
404	#2498	C₂×C₁₃	1	2	yes	complemented
405	#2430	C₂×C₁₃	1	2	yes	complemented
406	#2412	C₂×C₁₃	1	2	yes	complemented
407	#2410	C₂×C₁₃	1	2	yes	complemented
408	C₂×#386	C₂×C₁₃	1	1	yes	characteristic, complemented
409	C₂³×C₁₃	—	2	2	no	—
410	C₂³×C₁₃	—	2	2	no	—
411	C₂³×C₁₃	—	2	8	no	—
412	C₂³×C₁₃	—	2	2	no	—
413	C₂³×C₁₃	—	2	2	no	—
414	C₂³×C₁₃	—	2	1	no	—
415	C₂³×C₁₃	—	2	1	no	—
416	C₂³×C₁₃	—	2	2	no	—
417	C₂³×C₁₃	—	2	2	no	—
418	C₂³×C₁₃	—	2	1	no	—
419	C₂³×C₁₃	—	2	1	no	—
420	C₂³×C₁₃	—	2	1	no	—
421	C₂³×C₁₃	—	2	1	no	—
422	C₂³×C₁₃	—	2	1	no	—
423	C₂³×C₁₃	—	2	1	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	8	no	—
429	C₂³×C₁₃	—	2	2	no	—
430	C₂³×C₁₃	—	2	2	no	—
431	C₂³×C₁₃	—	2	2	no	—
432	C₂³×C₁₃	—	2	2	no	—
433	C₂³×C₁₃	—	2	2	no	—
434	C₂³×C₁₃	—	2	2	no	—
435	C₂³×C₁₃	—	2	2	no	—
436	C₂³×C₁₃	—	2	2	no	—
437	C₂³×C₁₃	—	2	2	no	—
438	C₂³×C₁₃	—	2	2	no	—
439	C₂³×C₁₃	—	2	2	no	—
440	C₂³×C₁₃	—	2	2	no	—
441	C₂³×C₁₃	—	2	2	no	—
442	C₂³×C₁₃	—	2	2	no	—
443	C₂³×C₁₃	—	4	8	no	—
444	C₂³×C₁₃	—	4	8	no	—
445	C₂³×C₁₃	—	4	4	no	—
446	C₂³×C₁₃	—	4	4	no	—
447	C₂³×C₁₃	—	4	8	no	—
448	C₂³×C₁₃	—	4	4	no	—
449	C₂³×C₁₃	—	8	2	no	—
450	C₂³×C₁₃	—	8	2	no	—
451	C₂³×C₁₃	—	8	4	no	—
452	C₂³×C₁₃	—	8	4	no	—
453	C₂³×C₁₃	—	8	2	no	—
454	C₂³×C₁₃	—	8	2	no	—
455	C₂³×C₁₃	—	8	4	no	—
456	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
457	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
458	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
459	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
460	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
461	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
462	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
463	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
464	Q₈×C₁₃	—	4	4	no	—
465	D₄×C₁₃	—	4	4	no	—
466	D₄×C₁₃	—	4	4	no	—
467	D₄×C₁₃	—	4	4	no	—
468	D₄×C₁₃	—	4	4	no	—
469	D₄×C₁₃	—	4	4	no	—
470	D₄×C₁₃	—	4	8	no	—
471	D₄×C₁₃	—	4	8	no	—
472	D₄×C₁₃	—	4	8	no	—
473	D₄×C₁₃	—	8	4	no	—
474	D₄×C₁₃	—	8	4	no	—
475	D₄×C₁₃	—	8	4	no	—
476	D₄×C₁₃	—	8	4	no	—
477	D₄×C₁₃	—	8	4	no	—
478	D₄×C₁₃	—	8	4	no	—
479	D₄×C₁₃	—	8	4	no	—
480	D₄×C₁₃	—	8	4	no	—
481	C₂×C₄×C₁₃	—	2	8	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	2	no	—
484	C₂×C₄×C₁₃	—	2	1	no	—
485	C₂×C₄×C₁₃	—	2	1	no	—
486	C₂×C₄×C₁₃	—	2	1	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	2	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	2	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	2	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	2	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	4	4	no	—
516	C₂×C₄×C₁₃	—	4	8	no	—
517	C₂×C₄×C₁₃	—	4	8	no	—
518	C₂×C₄×C₁₃	—	4	8	no	—
519	C₂×C₄×C₁₃	—	4	4	no	—
520	C₂×C₄×C₁₃	—	4	4	no	—
521	C₂×C₄×C₁₃	—	8	4	no	—
522	C₂×C₄×C₁₃	—	8	4	no	—
523	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
524	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
525	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
526	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
527	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
528	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
529	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	#535	—	2	8	no	—
531	#534	—	2	8	no	—
532	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
533	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
534	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
535	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
536	C₂×#123	C₂²×C₁₃	1	2	yes	—
537	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
538	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
539	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
540	C₂×#121	C₂²×C₁₃	1	2	yes	—
541	C₂×#121	C₂²×C₁₃	1	2	yes	—
542	C₂×#121	C₂²×C₁₃	1	2	yes	—
543	C₂×#121	C₂²×C₁₃	1	2	yes	—
544	C₂×#121	C₂²×C₁₃	1	2	yes	—
545	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
546	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
547	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
548	C₂×#120	C₂²×C₁₃	1	2	yes	—
549	C₂×#120	C₂²×C₁₃	1	2	yes	—
550	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
551	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
552	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
553	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
554	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
555	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
556	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
557	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
558	#400	C₂²×C₁₃	1	2	yes	complemented
559	#399	C₂²×C₁₃	1	2	yes	complemented
560	#398	C₂²×C₁₃	1	2	yes	complemented
561	#397	C₂²×C₁₃	1	2	yes	complemented
562	#397	C₂²×C₁₃	1	2	yes	complemented
563	#397	C₂²×C₁₃	1	2	yes	complemented
564	#397	C₂²×C₁₃	1	2	yes	complemented
565	#397	C₂²×C₁₃	1	2	yes	complemented
566	#395	C₂²×C₁₃	1	2	yes	complemented
567	#394	C₂²×C₁₃	1	2	yes	complemented
568	#394	C₂²×C₁₃	1	2	yes	complemented
569	#394	C₂²×C₁₃	1	2	yes	complemented
570	#394	C₂²×C₁₃	1	2	yes	complemented
571	#394	C₂²×C₁₃	1	2	yes	complemented
572	#394	C₂²×C₁₃	1	2	yes	complemented
573	#394	C₂²×C₁₃	1	2	yes	complemented
574	#394	C₂²×C₁₃	1	2	yes	complemented
575	#394	C₂²×C₁₃	1	2	yes	complemented
576	#393	C₂²×C₁₃	1	2	yes	complemented
577	#392	C₂²×C₁₃	1	2	yes	complemented
578	#392	C₂²×C₁₃	1	2	yes	complemented
579	#392	C₂²×C₁₃	1	2	yes	complemented
580	#392	C₂²×C₁₃	1	2	yes	complemented
581	#392	C₂²×C₁₃	1	2	yes	complemented
582	#388	C₂²×C₁₃	1	2	yes	complemented
583	#388	C₂²×C₁₃	1	2	yes	complemented
584	#387	C₂²×C₁₃	1	2	yes	complemented
585	#387	C₂²×C₁₃	1	2	yes	complemented
586	#386	C₂²×C₁₃	1	2	yes	—
587	#386	C₂²×C₁₃	1	2	yes	—
588	#386	C₂²×C₁₃	1	2	yes	—
589	#386	C₂²×C₁₃	1	1	yes	characteristic
590	#386	C₂²×C₁₃	1	1	yes	characteristic
591	#386	C₂²×C₁₃	1	2	yes	complemented
592	#386	C₂²×C₁₃	1	2	yes	complemented
593	#386	C₂²×C₁₃	1	2	yes	complemented
594	#386	C₂²×C₁₃	1	2	yes	complemented
595	#386	C₂²×C₁₃	1	2	yes	complemented
596	#386	C₂²×C₁₃	1	2	yes	complemented
597	#386	C₂²×C₁₃	1	2	yes	complemented
598	#386	C₂²×C₁₃	1	2	yes	complemented
599	#386	C₂²×C₁₃	1	2	yes	complemented
600	#386	C₂²×C₁₃	1	2	yes	complemented
601	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#386	C₂²×C₁₃	1	2	yes	complemented
603	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#385	C₂²×C₁₃	1	2	yes	complemented
605	#385	C₂²×C₁₃	1	2	yes	complemented
606	#385	C₂²×C₁₃	1	2	yes	complemented
607	#385	C₂²×C₁₃	1	2	yes	complemented
608	#381	C₂²×C₁₃	1	2	yes	complemented
609	#380	C₂²×C₁₃	1	2	yes	complemented
610	#380	C₂²×C₁₃	1	2	yes	complemented
611	#380	C₂²×C₁₃	1	2	yes	complemented
612	#380	C₂²×C₁₃	1	2	yes	complemented
613	#379	C₂²×C₁₃	1	2	yes	complemented
614	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
615	C₂²×C₁₃	—	2	4	no	—
616	C₂²×C₁₃	—	2	2	no	—
617	C₂²×C₁₃	—	2	2	no	—
618	C₂²×C₁₃	—	2	4	no	—
619	C₂²×C₁₃	—	2	2	no	—
620	C₂²×C₁₃	—	2	2	no	—
621	C₂²×C₁₃	—	2	2	no	—
622	C₂²×C₁₃	—	2	2	no	—
623	C₂²×C₁₃	—	2	4	no	—
624	C₂²×C₁₃	—	2	4	no	—
625	C₂²×C₁₃	—	2	4	no	—
626	C₂²×C₁₃	—	2	4	no	—
627	C₂²×C₁₃	—	4	16	no	—
628	C₂²×C₁₃	—	4	1	no	—
629	C₂²×C₁₃	—	4	1	no	—
630	C₂²×C₁₃	—	4	1	no	—
631	C₂²×C₁₃	—	4	1	no	—
632	C₂²×C₁₃	—	4	1	no	—
633	C₂²×C₁₃	—	4	1	no	—
634	C₂²×C₁₃	—	4	1	no	—
635	C₂²×C₁₃	—	4	1	no	—
636	C₂²×C₁₃	—	4	2	no	—
637	C₂²×C₁₃	—	4	2	no	—
638	C₂²×C₁₃	—	4	2	no	—
639	C₂²×C₁₃	—	4	2	no	—
640	C₂²×C₁₃	—	4	2	no	—
641	C₂²×C₁₃	—	4	2	no	—
642	C₂²×C₁₃	—	4	2	no	—
643	C₂²×C₁₃	—	4	2	no	—
644	C₂²×C₁₃	—	4	2	no	—
645	C₂²×C₁₃	—	4	2	no	—
646	C₂²×C₁₃	—	4	2	no	—
647	C₂²×C₁₃	—	4	2	no	—
648	C₂²×C₁₃	—	4	2	no	—
649	C₂²×C₁₃	—	4	2	no	—
650	C₂²×C₁₃	—	4	2	no	—
651	C₂²×C₁₃	—	4	2	no	—
652	C₂²×C₁₃	—	4	2	no	—
653	C₂²×C₁₃	—	4	2	no	—
654	C₂²×C₁₃	—	8	8	no	—
655	C₂²×C₁₃	—	8	8	no	—
656	C₂²×C₁₃	#534	1	4	yes	—
657	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
658	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
659	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
660	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
661	C₂²×C₁₃	#585	1	2	yes	—
662	C₄×C₁₃	—	2	2	no	—
663	C₄×C₁₃	—	2	2	no	—
664	C₄×C₁₃	—	2	4	no	—
665	C₄×C₁₃	—	4	2	no	—
666	C₄×C₁₃	—	4	2	no	—
667	C₄×C₁₃	—	4	2	no	—
668	C₄×C₁₃	—	4	2	no	—
669	C₄×C₁₃	—	4	2	no	—
670	C₄×C₁₃	—	4	2	no	—
671	C₄×C₁₃	—	4	2	no	—
672	C₄×C₁₃	—	4	2	no	—
673	C₄×C₁₃	—	4	2	no	—
674	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
675	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
676	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
677	C₂×#41	—	2	4	no	—
678	C₂×#41	—	4	2	no	—
679	C₂×#41	—	4	2	no	—
680	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
681	C₂²×D₄	—	2	4	no	—
682	C₂²×D₄	—	4	2	no	—
683	C₂²×D₄	—	4	2	no	—
684	C₂²×D₄	—	4	2	no	—
685	C₂²×D₄	—	4	2	no	—
686	C₂²×D₄	D₄×C₁₃	1	8	yes	complemented
687	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
688	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
689	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
690	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
691	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
692	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
693	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
694	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
695	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
696	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
697	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
698	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
699	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
700	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
701	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
702	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
703	C₂³×C₄	—	4	4	no	—
704	C₂³×C₄	—	4	2	no	—
705	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
706	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
707	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
708	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
709	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
710	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
711	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
712	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
714	#127	—	2	4	no	—
715	#127	—	2	4	no	—
716	#124	—	2	4	no	—
717	#124	—	2	4	no	—
718	#123	—	2	4	no	—
719	#123	—	2	4	no	—
720	#123	—	2	8	no	—
721	#123	—	4	4	no	—
722	#121	—	2	8	no	—
723	#121	—	2	8	no	—
724	#121	—	2	8	no	—
725	#121	—	2	8	no	—
726	#121	—	4	4	no	—
727	#121	—	4	4	no	—
728	#121	—	4	4	no	—
729	#121	—	4	4	no	—
730	#120	—	2	8	no	—
731	#120	—	2	8	no	—
732	#120	—	2	8	no	—
733	#120	—	2	4	no	—
734	#120	—	2	4	no	—
735	#120	—	4	4	no	—
736	#117	—	2	4	no	—
737	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
738	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
739	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
740	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
741	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
742	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
743	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
744	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
745	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
746	C₂×C₂²⋊C₄	—	2	4	no	—
747	C₂×C₂²⋊C₄	—	4	4	no	—
748	C₂×C₂²⋊C₄	—	4	2	no	—
749	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
769	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
780	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
781	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
782	#95	C₂³×C₁₃	1	2	yes	—
783	#95	C₂³×C₁₃	1	2	yes	—
784	#95	C₂³×C₁₃	1	2	yes	—
785	#95	C₂³×C₁₃	1	2	yes	—
786	#95	C₂³×C₁₃	1	2	yes	—
787	#95	C₂³×C₁₃	1	2	yes	—
788	#95	C₂³×C₁₃	1	2	yes	—
789	#95	C₂³×C₁₃	1	2	yes	—
790	#95	C₂³×C₁₃	1	2	yes	—
791	#95	C₂³×C₁₃	1	2	yes	—
792	#95	C₂³×C₁₃	1	2	yes	—
793	#95	C₂³×C₁₃	1	2	yes	—
794	#95	C₂³×C₁₃	1	2	yes	—
795	#95	C₂³×C₁₃	1	2	yes	—
796	#95	C₂³×C₁₃	1	2	yes	—
797	#95	C₂³×C₁₃	1	2	yes	—
798	C₂×C₁₃	—	2	4	no	—
799	C₂×C₁₃	—	4	2	no	—
800	C₂×C₁₃	—	4	2	no	—
801	C₂×C₁₃	—	4	2	no	—
802	C₂×C₁₃	—	4	2	no	—
803	C₂×C₁₃	—	8	2	no	—
804	C₂×C₁₃	—	8	2	no	—
805	C₂×C₁₃	C₂×#534	1	1	yes	characteristic
806	C₂×C₁₃	#3496	1	2	yes	—
807	C₂×C₁₃	#3532	1	1	yes	characteristic
808	C₂×C₁₃	#3533	1	1	yes	characteristic
809	C₂×C₁₃	#3542	1	2	yes	—
810	C₂⁴	—	2	2	no	—
811	C₂⁴	—	2	2	no	—
812	C₂⁴	—	2	2	no	—
813	C₂⁴	—	2	2	no	—
814	C₂⁴	—	2	2	no	—
815	C₂⁴	—	4	2	no	—
816	C₂⁴	—	4	2	no	—
817	C₂⁴	—	4	2	no	—
818	C₂⁴	—	4	1	no	—
819	C₂⁴	—	4	1	no	—
820	C₂⁴	—	4	2	no	—
821	C₂⁴	—	4	2	no	—
822	C₂⁴	—	4	2	no	—
823	C₂⁴	C₂×D₄×C₁₃	1	4	yes	—
824	C₂⁴	C₂×D₄×C₁₃	1	4	yes	—
825	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
826	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
827	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
828	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
829	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
830	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
831	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
832	#41	—	4	16	no	—
833	C₂×Q₈	—	2	2	no	—
834	C₂×Q₈	—	4	1	no	—
835	C₂×Q₈	—	4	1	no	—
836	C₂×D₄	—	2	4	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	4	no	—
840	C₂×D₄	—	2	4	no	—
841	C₂×D₄	—	2	4	no	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	2	4	no	—
845	C₂×D₄	—	2	4	no	—
846	C₂×D₄	—	2	4	no	—
847	C₂×D₄	—	2	4	no	—
848	C₂×D₄	—	2	4	no	—
849	C₂×D₄	—	2	2	no	—
850	C₂×D₄	—	2	4	no	—
851	C₂×D₄	—	4	16	no	—
852	C₂×D₄	—	4	1	no	—
853	C₂×D₄	—	4	1	no	—
854	C₂×D₄	—	4	1	no	—
855	C₂×D₄	—	4	1	no	—
856	C₂×D₄	—	4	1	no	—
857	C₂×D₄	—	4	1	no	—
858	C₂×D₄	—	4	1	no	—
859	C₂×D₄	—	4	1	no	—
860	C₂×D₄	—	4	2	no	—
861	C₂×D₄	—	4	2	no	—
862	C₂×D₄	—	4	1	no	—
863	C₂×D₄	—	4	1	no	—
864	C₂×D₄	—	4	2	no	—
865	C₂×D₄	—	4	2	no	—
866	C₂×D₄	—	4	2	no	—
867	C₂×D₄	—	4	2	no	—
868	C₂×D₄	—	4	2	no	—
869	C₂×D₄	—	4	2	no	—
870	C₂×D₄	—	4	2	no	—
871	C₂×D₄	—	4	2	no	—
872	C₂×D₄	—	4	2	no	—
873	C₂×D₄	—	4	2	no	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	4	2	no	—
876	C₂×D₄	—	4	2	no	—
877	C₂×D₄	—	4	2	no	—
878	C₂×D₄	—	4	2	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	2	no	—
881	C₂×D₄	—	4	16	no	—
882	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
883	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
884	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
885	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	4	no	—
890	C₂²×C₄	—	2	4	no	—
891	C₂²×C₄	—	2	4	no	—
892	C₂²×C₄	—	2	4	no	—
893	C₂²×C₄	—	2	4	no	—
894	C₂²×C₄	—	2	4	no	—
895	C₂²×C₄	—	2	4	no	—
896	C₂²×C₄	—	4	1	no	—
897	C₂²×C₄	—	4	2	no	—
898	C₂²×C₄	—	4	2	no	—
899	C₂²×C₄	—	4	2	no	—
900	C₂²×C₄	—	4	2	no	—
901	C₂²×C₄	—	4	1	no	—
902	C₂²×C₄	—	4	1	no	—
903	C₂²×C₄	—	4	1	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	16	no	—
911	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
912	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
913	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
914	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
915	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
916	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
917	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
918	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
919	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
920	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
921	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
924	C₄⋊C₄	—	2	4	no	—
925	C₄⋊C₄	—	2	4	no	—
926	C₄⋊C₄	—	2	4	no	—
927	C₄⋊C₄	—	2	4	no	—
928	C₄⋊C₄	—	4	2	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₄⋊C₄	—	4	2	no	—
931	C₄⋊C₄	—	4	2	no	—
932	C₄⋊C₄	—	4	2	no	—
933	C₂²⋊C₄	—	2	2	no	—
934	C₂²⋊C₄	—	2	2	no	—
935	C₂²⋊C₄	—	2	4	no	—
936	C₂²⋊C₄	—	2	4	no	—
937	C₂²⋊C₄	—	2	4	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	4	no	—
940	C₂²⋊C₄	—	2	4	no	—
941	C₂²⋊C₄	—	2	4	no	—
942	C₂²⋊C₄	—	2	4	no	—
943	C₂²⋊C₄	—	2	4	no	—
944	C₂²⋊C₄	—	2	4	no	—
945	C₂²⋊C₄	—	2	4	no	—
946	C₂²⋊C₄	—	2	4	no	—
947	C₂²⋊C₄	—	2	4	no	—
948	C₂²⋊C₄	—	2	4	no	—
949	C₂²⋊C₄	—	4	2	no	—
950	C₂²⋊C₄	—	4	2	no	—
951	C₂²⋊C₄	—	4	1	no	—
952	C₂²⋊C₄	—	4	2	no	—
953	C₂²⋊C₄	—	4	1	no	—
954	C₂²⋊C₄	—	4	2	no	—
955	C₂²⋊C₄	—	4	2	no	—
956	C₂²⋊C₄	—	4	2	no	—
957	C₂²⋊C₄	—	4	2	no	—
958	C₂²⋊C₄	—	4	2	no	—
959	C₂²⋊C₄	—	4	2	no	—
960	C₂²⋊C₄	—	4	2	no	—
961	C₂²⋊C₄	—	4	2	no	—
962	C₂²⋊C₄	—	4	2	no	—
963	C₂²⋊C₄	—	4	2	no	—
964	C₄²	—	2	2	no	—
965	C₄²	—	2	2	no	—
966	C₁₃	#36737	1	1	yes	characteristic, direct product factor, Sylow
967	C₂³	—	2	2	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	8	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	2	1	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	2	2	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	1	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	2	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	2	2	no	—
986	C₂³	—	2	8	no	—
987	C₂³	—	2	2	no	—
988	C₂³	—	2	2	no	—
989	C₂³	—	2	2	no	—
990	C₂³	—	2	2	no	—
991	C₂³	—	2	2	no	—
992	C₂³	—	2	2	no	—
993	C₂³	—	2	2	no	—
994	C₂³	—	2	2	no	—
995	C₂³	—	2	2	no	—
996	C₂³	—	2	2	no	—
997	C₂³	—	2	2	no	—
998	C₂³	—	2	2	no	—
999	C₂³	—	2	2	no	—
1000	C₂³	—	2	2	no	—
1001	C₂³	—	4	8	no	—
1002	C₂³	—	4	8	no	—
1003	C₂³	—	4	4	no	—
1004	C₂³	—	4	4	no	—
1005	C₂³	—	4	8	no	—
1006	C₂³	—	4	4	no	—
1007	C₂³	—	8	2	no	—
1008	C₂³	—	8	2	no	—
1009	C₂³	—	8	4	no	—
1010	C₂³	—	8	4	no	—
1011	C₂³	—	8	2	no	—
1012	C₂³	—	8	2	no	—
1013	C₂³	—	8	4	no	—
1014	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1015	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1016	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1017	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1018	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1019	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1020	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1021	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1022	Q₈	—	4	4	no	—
1023	D₄	—	4	4	no	—
1024	D₄	—	4	4	no	—
1025	D₄	—	4	4	no	—
1026	D₄	—	4	4	no	—
1027	D₄	—	4	4	no	—
1028	D₄	—	4	8	no	—
1029	D₄	—	4	8	no	—
1030	D₄	—	4	8	no	—
1031	D₄	—	8	4	no	—
1032	D₄	—	8	4	no	—
1033	D₄	—	8	4	no	—
1034	D₄	—	8	4	no	—
1035	D₄	—	8	4	no	—
1036	D₄	—	8	4	no	—
1037	D₄	—	8	4	no	—
1038	D₄	—	8	4	no	—
1039	C₂×C₄	—	2	8	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	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	4	4	no	—
1074	C₂×C₄	—	4	8	no	—
1075	C₂×C₄	—	4	8	no	—
1076	C₂×C₄	—	4	8	no	—
1077	C₂×C₄	—	4	4	no	—
1078	C₂×C₄	—	4	4	no	—
1079	C₂×C₄	—	8	4	no	—
1080	C₂×C₄	—	8	4	no	—
1081	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1082	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1083	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	4	no	—
1087	C₂²	—	2	4	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	4	no	—
1093	C₂²	—	2	4	no	—
1094	C₂²	—	2	4	no	—
1095	C₂²	—	2	4	no	—
1096	C₂²	—	4	16	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	2	no	—
1110	C₂²	—	4	2	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	—	4	2	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	2	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	8	8	no	—
1124	C₂²	—	8	8	no	—
1125	C₂²	C₁₃×#534	1	4	yes	—
1126	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1127	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1128	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1129	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1130	C₂²	C₁₃×#585	1	2	yes	—
1131	C₄	—	2	4	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	2	no	—
1136	C₄	—	4	2	no	—
1137	C₄	—	4	2	no	—
1138	C₄	—	4	2	no	—
1139	C₄	—	4	2	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	2	no	—
1143	C₂	—	2	4	no	—
1144	C₂	—	4	2	no	—
1145	C₂	—	4	2	no	—
1146	C₂	—	4	2	no	—
1147	C₂	—	4	2	no	—
1148	C₂	—	8	2	no	—
1149	C₂	—	8	2	no	—
1150	C₂	C₂×C₁₃×#534	1	1	yes	characteristic
1151	C₂	C₁₃×#3496	1	2	yes	—
1152	C₂	C₁₃×#3532	1	1	yes	characteristic
1153	C₂	C₁₃×#3533	1	1	yes	characteristic
1154	C₂	C₁₃×#3542	1	2	yes	—

	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. C₂×C₁₃×#535	C₂	semidirect
2. C₂×C₁₃×#534	C₂	semidirect
3. C₁₃×#2847	C₂	semidirect
4. C₁₃×#2717	C₂	semidirect
5. C₁₃×#2709	C₂	semidirect
6. C₁₃×#2708	C₂	semidirect
7. C₁₃×#2688	C₂	semidirect
8. C₁₃×#2686	C₂	semidirect
9. C₁₃×#2684	C₂	semidirect
10. C₁₃×#2673	C₂	semidirect
11. C₁₃×#2671	C₂	semidirect
12. C₁₃×#2669	C₂	semidirect
13. C₁₃×#2668	C₂	semidirect
14. C₁₃×#2617	C₂	semidirect
15. C₁₃×#2498	C₂	semidirect
16. C₁₃×#2430	C₂	semidirect
17. C₁₃×#2412	C₂	semidirect
18. C₁₃×#2410	C₂	semidirect
19. C₂×C₁₃×#386	C₂	semidirect
20. C₂²×C₁₃×#41	C₂²	semidirect
23. C₂⁴×C₄×C₁₃	C₂²	semidirect
27. C₂×C₁₃×#127	C₂²	semidirect
29. C₂×C₁₃×#124	C₂²	semidirect
33. C₂×C₁₃×#123	C₂²	semidirect
39. C₂×C₁₃×#121	C₂²	semidirect
40. C₂×C₁₃×#121	C₂²	semidirect
41. C₂×C₁₃×#121	C₂²	semidirect
46. C₂×C₁₃×#120	C₂²	semidirect
47. C₂×C₁₃×#120	C₂²	semidirect
48. C₂×C₁₃×#117	C₂²	semidirect
51. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
52. C₁₃×#400	C₂²	semidirect
53. C₁₃×#399	C₂²	semidirect
54. C₁₃×#398	C₂²	semidirect
55. C₁₃×#397	C₂²	semidirect
56. C₁₃×#397	C₂²	semidirect
57. C₁₃×#397	C₂²	semidirect
58. C₁₃×#397	C₂²	semidirect
59. C₁₃×#397	C₂²	semidirect
60. C₁₃×#395	C₂²	semidirect
61. C₁₃×#394	C₂²	semidirect
62. C₁₃×#394	C₂²	semidirect
63. C₁₃×#394	C₂²	semidirect
64. C₁₃×#394	C₂²	semidirect
65. C₁₃×#394	C₂²	semidirect
66. C₁₃×#394	C₂²	semidirect
67. C₁₃×#394	C₂²	semidirect
68. C₁₃×#394	C₂²	semidirect
69. C₁₃×#394	C₂²	semidirect
70. C₁₃×#393	C₂²	semidirect
71. C₁₃×#392	C₂²	semidirect
72. C₁₃×#392	C₂²	semidirect
73. C₁₃×#392	C₂²	semidirect
74. C₁₃×#392	C₂²	semidirect
75. C₁₃×#392	C₂²	semidirect
76. C₁₃×#388	C₂²	semidirect
77. C₁₃×#388	C₂²	semidirect
78. C₁₃×#387	C₂²	semidirect
79. C₁₃×#387	C₂²	semidirect
85. C₁₃×#386	C₂²	semidirect
86. C₁₃×#386	C₂²	semidirect
87. C₁₃×#386	C₂²	semidirect
88. C₁₃×#386	C₂²	semidirect
89. C₁₃×#386	C₂²	semidirect
90. C₁₃×#386	C₂²	semidirect
91. C₁₃×#386	C₂²	semidirect
92. C₁₃×#386	C₂²	semidirect
93. C₁₃×#386	C₂²	semidirect
94. C₁₃×#386	C₂²	semidirect
95. C₁₃×#386	C₂²	semidirect
96. C₁₃×#386	C₂²	semidirect
97. C₁₃×#386	C₂²	semidirect
98. C₁₃×#385	C₂²	semidirect
99. C₁₃×#385	C₂²	semidirect
100. C₁₃×#385	C₂²	semidirect
101. C₁₃×#385	C₂²	semidirect
102. C₁₃×#381	C₂²	semidirect
103. C₁₃×#380	C₂²	semidirect
104. C₁₃×#380	C₂²	semidirect
105. C₁₃×#380	C₂²	semidirect
106. C₁₃×#380	C₂²	semidirect
107. C₁₃×#379	C₂²	semidirect
108. C₂×C₁₃×#95	C₂²	semidirect
121. C₂²×D₄×C₁₃	D₄	semidirect
233. #36737	C₁₃	direct (N × H)
390. C₂×#535	C₂×C₁₃	semidirect
391. C₂×#534	C₂×C₁₃	semidirect
392. #2847	C₂×C₁₃	semidirect
393. #2717	C₂×C₁₃	semidirect
394. #2709	C₂×C₁₃	semidirect
395. #2708	C₂×C₁₃	semidirect
396. #2688	C₂×C₁₃	semidirect
397. #2686	C₂×C₁₃	semidirect
398. #2684	C₂×C₁₃	semidirect
399. #2673	C₂×C₁₃	semidirect
400. #2671	C₂×C₁₃	semidirect
401. #2669	C₂×C₁₃	semidirect
402. #2668	C₂×C₁₃	semidirect
403. #2617	C₂×C₁₃	semidirect
404. #2498	C₂×C₁₃	semidirect
405. #2430	C₂×C₁₃	semidirect
406. #2412	C₂×C₁₃	semidirect
407. #2410	C₂×C₁₃	semidirect
408. C₂×#386	C₂×C₁₃	semidirect
526. C₂²×#41	C₂²×C₁₃	semidirect
529. C₂⁴×C₄	C₂²×C₁₃	semidirect
533. C₂×#127	C₂²×C₁₃	semidirect
535. C₂×#124	C₂²×C₁₃	semidirect
539. C₂×#123	C₂²×C₁₃	semidirect
545. C₂×#121	C₂²×C₁₃	semidirect
546. C₂×#121	C₂²×C₁₃	semidirect
547. C₂×#121	C₂²×C₁₃	semidirect
552. C₂×#120	C₂²×C₁₃	semidirect
553. C₂×#120	C₂²×C₁₃	semidirect
554. C₂×#117	C₂²×C₁₃	semidirect
557. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
558. #400	C₂²×C₁₃	semidirect
559. #399	C₂²×C₁₃	semidirect
560. #398	C₂²×C₁₃	semidirect
561. #397	C₂²×C₁₃	semidirect
562. #397	C₂²×C₁₃	semidirect
563. #397	C₂²×C₁₃	semidirect
564. #397	C₂²×C₁₃	semidirect
565. #397	C₂²×C₁₃	semidirect
566. #395	C₂²×C₁₃	semidirect
567. #394	C₂²×C₁₃	semidirect
568. #394	C₂²×C₁₃	semidirect
569. #394	C₂²×C₁₃	semidirect
570. #394	C₂²×C₁₃	semidirect
571. #394	C₂²×C₁₃	semidirect
572. #394	C₂²×C₁₃	semidirect
573. #394	C₂²×C₁₃	semidirect
574. #394	C₂²×C₁₃	semidirect
575. #394	C₂²×C₁₃	semidirect
576. #393	C₂²×C₁₃	semidirect
577. #392	C₂²×C₁₃	semidirect
578. #392	C₂²×C₁₃	semidirect
579. #392	C₂²×C₁₃	semidirect
580. #392	C₂²×C₁₃	semidirect
581. #392	C₂²×C₁₃	semidirect
582. #388	C₂²×C₁₃	semidirect
583. #388	C₂²×C₁₃	semidirect
584. #387	C₂²×C₁₃	semidirect
585. #387	C₂²×C₁₃	semidirect
591. #386	C₂²×C₁₃	semidirect
592. #386	C₂²×C₁₃	semidirect
593. #386	C₂²×C₁₃	semidirect
594. #386	C₂²×C₁₃	semidirect
595. #386	C₂²×C₁₃	semidirect
596. #386	C₂²×C₁₃	semidirect
597. #386	C₂²×C₁₃	semidirect
598. #386	C₂²×C₁₃	semidirect
599. #386	C₂²×C₁₃	semidirect
600. #386	C₂²×C₁₃	semidirect
601. #386	C₂²×C₁₃	semidirect
602. #386	C₂²×C₁₃	semidirect
603. #386	C₂²×C₁₃	semidirect
604. #385	C₂²×C₁₃	semidirect
605. #385	C₂²×C₁₃	semidirect
606. #385	C₂²×C₁₃	semidirect
607. #385	C₂²×C₁₃	semidirect
608. #381	C₂²×C₁₃	semidirect
609. #380	C₂²×C₁₃	semidirect
610. #380	C₂²×C₁₃	semidirect
611. #380	C₂²×C₁₃	semidirect
612. #380	C₂²×C₁₃	semidirect
613. #379	C₂²×C₁₃	semidirect
614. C₂×#95	C₂²×C₁₃	semidirect
686. C₂²×D₄	D₄×C₁₃	semidirect
966. C₁₃	#36737	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#535	2
C₂×C₁₃×#534	2
C₁₃×#2847	2
C₁₃×#2717	2
C₁₃×#2709	2
C₁₃×#2708	2
C₁₃×#2688	2
C₁₃×#2686	2
C₁₃×#2684	2
C₁₃×#2673	2
C₁₃×#2671	2
C₁₃×#2669	2
C₁₃×#2668	2
C₁₃×#2617	2
C₁₃×#2498	2
C₁₃×#2430	2
C₁₃×#2412	2
C₁₃×#2410	2
C₂×C₁₃×#386	2
#36737	13

Subgroups — C13×#36737 #15723076

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36737 #15723076