Subgroups — C₁₃×#36725 #15723064

Order 3328.

3282 conjugacy classes of subgroups.

The subgroup lattice has 1092 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2846	C₂	1	2	yes	maximal, complemented
2	C₁₃×#2736	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2735	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2735	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2697	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2685	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2685	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2684	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2678	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2670	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2668	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2626	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2617	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2480	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2472	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2424	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2418	C₂	1	2	yes	maximal, complemented
18	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
19	C₂×C₁₃×#379	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁶×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
22	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
23	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
24	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
26	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×#120	C₂²	1	2	yes	—
28	C₂×C₁₃×#120	C₂²	1	2	yes	—
29	C₂×C₁₃×#120	C₂²	1	2	yes	—
30	C₂×C₁₃×#120	C₂²	1	2	yes	—
31	C₂×C₁₃×#120	C₂²	1	2	yes	—
32	C₂×C₁₃×#120	C₂²	1	2	yes	—
33	C₂×C₁₃×#120	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
35	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
36	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
37	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
38	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
39	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#399	C₂²	1	2	yes	complemented
42	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#397	C₂²	1	2	yes	complemented
45	C₁₃×#397	C₂²	1	2	yes	complemented
46	C₁₃×#397	C₂²	1	2	yes	complemented
47	C₁₃×#397	C₂²	1	2	yes	complemented
48	C₁₃×#397	C₂²	1	2	yes	complemented
49	C₁₃×#396	C₂²	1	2	yes	complemented
50	C₁₃×#396	C₂²	1	2	yes	complemented
51	C₁₃×#396	C₂²	1	2	yes	complemented
52	C₁₃×#396	C₂²	1	2	yes	complemented
53	C₁₃×#394	C₂²	1	2	yes	complemented
54	C₁₃×#394	C₂²	1	2	yes	complemented
55	C₁₃×#394	C₂²	1	2	yes	complemented
56	C₁₃×#394	C₂²	1	2	yes	complemented
57	C₁₃×#394	C₂²	1	2	yes	complemented
58	C₁₃×#394	C₂²	1	2	yes	complemented
59	C₁₃×#394	C₂²	1	2	yes	complemented
60	C₁₃×#394	C₂²	1	2	yes	complemented
61	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#393	C₂²	1	2	yes	complemented
64	C₁₃×#392	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#392	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#392	C₂²	1	2	yes	complemented
67	C₁₃×#390	C₂²	1	2	yes	complemented
68	C₁₃×#390	C₂²	1	2	yes	complemented
69	C₁₃×#390	C₂²	1	2	yes	complemented
70	C₁₃×#390	C₂²	1	2	yes	complemented
71	C₁₃×#388	C₂²	1	2	yes	complemented
72	C₁₃×#388	C₂²	1	2	yes	complemented
73	C₁₃×#388	C₂²	1	2	yes	complemented
74	C₁₃×#388	C₂²	1	2	yes	complemented
75	C₁₃×#388	C₂²	1	2	yes	complemented
76	C₁₃×#388	C₂²	1	2	yes	complemented
77	C₁₃×#388	C₂²	1	2	yes	complemented
78	C₁₃×#388	C₂²	1	2	yes	complemented
79	C₁₃×#388	C₂²	1	2	yes	complemented
80	C₁₃×#388	C₂²	1	2	yes	complemented
81	C₁₃×#388	C₂²	1	2	yes	complemented
82	C₁₃×#388	C₂²	1	2	yes	complemented
83	C₁₃×#386	C₂²	1	2	yes	complemented
84	C₁₃×#386	C₂²	1	2	yes	complemented
85	C₁₃×#386	C₂²	1	2	yes	complemented
86	C₁₃×#386	C₂²	1	2	yes	complemented
87	C₁₃×#386	C₂²	1	2	yes	complemented
88	C₁₃×#386	C₂²	1	2	yes	complemented
89	C₁₃×#385	C₂²	1	2	yes	complemented
90	C₁₃×#385	C₂²	1	2	yes	complemented
91	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#379	C₂²	1	1	yes	characteristic
94	C₁₃×#379	C₂²	1	1	yes	characteristic
95	C₁₃×#379	C₂²	1	2	yes	—
96	C₁₃×#379	C₂²	1	2	yes	—
97	C₁₃×#379	C₂²	1	1	yes	characteristic
98	C₁₃×#379	C₂²	1	1	yes	characteristic
99	C₁₃×#379	C₂²	1	2	yes	—
100	C₁₃×#379	C₂²	1	2	yes	—
101	C₁₃×#379	C₂²	1	2	yes	—
102	C₁₃×#379	C₂²	1	2	yes	—
103	C₁₃×#379	C₂²	1	2	yes	—
104	C₁₃×#379	C₂²	1	2	yes	—
105	C₁₃×#379	C₂²	1	2	yes	—
106	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
107	C₂⁵×C₁₃	—	2	4	no	—
108	C₂⁵×C₁₃	—	4	4	no	—
109	C₂⁵×C₁₃	—	4	4	no	—
110	C₂⁵×C₁₃	—	4	2	no	—
111	C₂⁵×C₁₃	—	4	2	no	—
112	C₂⁵×C₁₃	C₂³	1	2	yes	—
113	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
114	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
115	C₂⁵×C₁₃	C₂³	1	2	yes	—
116	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
117	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
118	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
121	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic, complemented
126	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
128	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₁₃	C₂³	1	2	yes	complemented
130	C₁₃×#126	—	4	4	no	—
131	C₁₃×#124	—	4	4	no	—
132	C₁₃×#123	—	4	4	no	—
133	C₁₃×C₂²⋊Q₈	—	4	2	no	—
134	C₁₃×#121	—	4	4	no	—
135	C₁₃×#121	—	4	2	no	—
136	C₁₃×#120	—	2	8	no	—
137	C₁₃×#120	—	4	4	no	—
138	C₁₃×#120	—	4	4	no	—
139	C₁₃×#120	—	4	4	no	—
140	C₁₃×#120	—	4	4	no	—
141	C₁₃×#120	—	4	4	no	—
142	C₁₃×#120	—	4	4	no	—
143	C₄×D₄×C₁₃	—	4	4	no	—
144	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
145	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
146	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
147	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
151	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
152	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
153	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
154	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
155	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
156	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
157	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
158	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
200	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
201	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
202	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
203	C₁₃×#95	C₂³	1	2	yes	complemented
204	C₁₃×#95	C₂³	1	2	yes	complemented
205	C₁₃×#95	C₂³	1	1	yes	characteristic, complemented
206	C₁₃×#95	C₂³	1	1	yes	characteristic, complemented
207	C₁₃×#95	C₂³	1	1	yes	characteristic, complemented
208	C₁₃×#95	C₂³	1	1	yes	characteristic, complemented
209	C₁₃×#95	C₂³	1	2	yes	complemented
210	C₁₃×#95	C₂³	1	2	yes	complemented
211	C₁₃×#95	C₂³	1	2	yes	complemented
212	C₁₃×#95	C₂³	1	2	yes	complemented
213	C₁₃×#95	C₂³	1	2	yes	complemented
214	C₁₃×#95	C₂³	1	2	yes	complemented
215	C₁₃×#95	C₂³	1	2	yes	complemented
216	C₁₃×#95	C₂³	1	2	yes	complemented
217	#36725	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
218	C₂⁴×C₁₃	—	2	4	no	—
219	C₂⁴×C₁₃	—	2	4	no	—
220	C₂⁴×C₁₃	—	2	4	no	—
221	C₂⁴×C₁₃	—	2	2	no	—
222	C₂⁴×C₁₃	—	2	2	no	—
223	C₂⁴×C₁₃	—	2	2	no	—
224	C₂⁴×C₁₃	—	2	2	no	—
225	C₂⁴×C₁₃	—	2	4	no	—
226	C₂⁴×C₁₃	—	2	4	no	—
227	C₂⁴×C₁₃	—	2	4	no	—
228	C₂⁴×C₁₃	—	2	4	no	—
229	C₂⁴×C₁₃	—	2	4	no	—
230	C₂⁴×C₁₃	—	2	4	no	—
231	C₂⁴×C₁₃	—	2	4	no	—
232	C₂⁴×C₁₃	—	4	2	no	—
233	C₂⁴×C₁₃	—	4	2	no	—
234	C₂⁴×C₁₃	—	4	2	no	—
235	C₂⁴×C₁₃	—	4	2	no	—
236	C₂⁴×C₁₃	—	4	1	no	—
237	C₂⁴×C₁₃	—	4	1	no	—
238	C₂⁴×C₁₃	—	4	2	no	—
239	C₂⁴×C₁₃	—	4	2	no	—
240	C₂⁴×C₁₃	—	4	2	no	—
241	C₂⁴×C₁₃	—	4	2	no	—
242	C₂⁴×C₁₃	—	4	2	no	—
243	C₂⁴×C₁₃	—	4	1	no	—
244	C₂⁴×C₁₃	—	4	1	no	—
245	C₂⁴×C₁₃	—	4	2	no	—
246	C₂⁴×C₁₃	—	4	32	no	—
247	C₂⁴×C₁₃	—	4	16	no	—
248	C₂⁴×C₁₃	—	4	32	no	—
249	C₂⁴×C₁₃	—	4	16	no	—
250	C₂⁴×C₁₃	—	4	16	no	—
251	C₂⁴×C₁₃	#41	1	4	yes	—
252	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
253	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
254	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
255	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
256	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
257	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
258	C₂×Q₈×C₁₃	—	4	1	no	—
259	C₂×Q₈×C₁₃	—	4	2	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	—	4	2	no	—
270	C₂×D₄×C₁₃	—	4	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	1	no	—
283	C₂²×C₄×C₁₃	—	2	4	no	—
284	C₂²×C₄×C₁₃	—	2	2	no	—
285	C₂²×C₄×C₁₃	—	2	2	no	—
286	C₂²×C₄×C₁₃	—	4	2	no	—
287	C₂²×C₄×C₁₃	—	4	2	no	—
288	C₂²×C₄×C₁₃	—	4	2	no	—
289	C₂²×C₄×C₁₃	—	4	2	no	—
290	C₂²×C₄×C₁₃	—	4	2	no	—
291	C₂²×C₄×C₁₃	—	4	2	no	—
292	C₂²×C₄×C₁₃	—	4	2	no	—
293	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₁₃×C₄⋊C₄	—	4	2	no	—
307	C₁₃×C₄⋊C₄	—	4	2	no	—
308	C₁₃×C₄⋊C₄	—	4	1	no	—
309	C₁₃×C₄⋊C₄	—	4	1	no	—
310	C₁₃×C₄⋊C₄	—	4	2	no	—
311	C₁₃×C₄⋊C₄	—	4	2	no	—
312	C₁₃×C₄⋊C₄	—	4	2	no	—
313	C₁₃×C₄⋊C₄	—	4	2	no	—
314	C₁₃×C₄⋊C₄	—	4	2	no	—
315	C₁₃×C₄⋊C₄	—	4	2	no	—
316	C₁₃×C₂²⋊C₄	—	2	4	no	—
317	C₁₃×C₂²⋊C₄	—	2	4	no	—
318	C₁₃×C₂²⋊C₄	—	2	4	no	—
319	C₁₃×C₂²⋊C₄	—	2	4	no	—
320	C₁₃×C₂²⋊C₄	—	2	4	no	—
321	C₁₃×C₂²⋊C₄	—	2	4	no	—
322	C₁₃×C₂²⋊C₄	—	2	4	no	—
323	C₁₃×C₂²⋊C₄	—	2	4	no	—
324	C₁₃×C₂²⋊C₄	—	2	4	no	—
325	C₁₃×C₂²⋊C₄	—	2	4	no	—
326	C₁₃×C₂²⋊C₄	—	2	4	no	—
327	C₁₃×C₂²⋊C₄	—	2	4	no	—
328	C₁₃×C₂²⋊C₄	—	2	4	no	—
329	C₁₃×C₂²⋊C₄	—	4	2	no	—
330	C₁₃×C₂²⋊C₄	—	4	2	no	—
331	C₁₃×C₂²⋊C₄	—	4	1	no	—
332	C₁₃×C₂²⋊C₄	—	4	2	no	—
333	C₁₃×C₂²⋊C₄	—	4	2	no	—
334	C₁₃×C₂²⋊C₄	—	4	2	no	—
335	C₁₃×C₂²⋊C₄	—	4	1	no	—
336	C₁₃×C₂²⋊C₄	—	4	1	no	—
337	C₁₃×C₂²⋊C₄	—	4	1	no	—
338	C₁₃×C₂²⋊C₄	—	4	1	no	—
339	C₁₃×C₂²⋊C₄	—	4	1	no	—
340	C₁₃×C₂²⋊C₄	—	4	2	no	—
341	C₁₃×C₂²⋊C₄	—	4	2	no	—
342	C₁₃×C₂²⋊C₄	—	4	2	no	—
343	C₁₃×C₂²⋊C₄	—	4	2	no	—
344	C₁₃×C₂²⋊C₄	—	4	2	no	—
345	C₁₃×C₂²⋊C₄	—	4	2	no	—
346	C₁₃×C₂²⋊C₄	—	4	2	no	—
347	C₁₃×C₂²⋊C₄	—	4	2	no	—
348	C₁₃×C₂²⋊C₄	—	4	2	no	—
349	C₁₃×C₂²⋊C₄	—	4	2	no	—
350	C₁₃×C₂²⋊C₄	—	4	2	no	—
351	C₁₃×C₂²⋊C₄	—	4	2	no	—
352	C₁₃×C₂²⋊C₄	—	4	2	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	C₄²×C₁₃	—	4	2	no	—
359	C₄²×C₁₃	—	4	2	no	—
360	C₄²×C₁₃	—	4	2	no	—
361	#2846	C₂×C₁₃	1	2	yes	complemented
362	#2736	C₂×C₁₃	1	1	yes	characteristic, complemented
363	#2735	C₂×C₁₃	1	2	yes	complemented
364	#2735	C₂×C₁₃	1	1	yes	characteristic, complemented
365	#2697	C₂×C₁₃	1	2	yes	complemented
366	#2685	C₂×C₁₃	1	2	yes	complemented
367	#2685	C₂×C₁₃	1	2	yes	complemented
368	#2684	C₂×C₁₃	1	2	yes	complemented
369	#2678	C₂×C₁₃	1	2	yes	complemented
370	#2670	C₂×C₁₃	1	1	yes	characteristic, complemented
371	#2668	C₂×C₁₃	1	1	yes	characteristic, complemented
372	#2626	C₂×C₁₃	1	1	yes	characteristic, complemented
373	#2617	C₂×C₁₃	1	1	yes	characteristic, complemented
374	#2480	C₂×C₁₃	1	2	yes	complemented
375	#2472	C₂×C₁₃	1	2	yes	complemented
376	#2424	C₂×C₁₃	1	2	yes	complemented
377	#2418	C₂×C₁₃	1	2	yes	complemented
378	#2321	C₂×C₁₃	1	2	yes	complemented
379	C₂×#379	C₂×C₁₃	1	1	yes	characteristic, complemented
380	C₂³×C₁₃	—	2	2	no	—
381	C₂³×C₁₃	—	2	2	no	—
382	C₂³×C₁₃	—	2	16	no	—
383	C₂³×C₁₃	—	2	8	no	—
384	C₂³×C₁₃	—	2	2	no	—
385	C₂³×C₁₃	—	2	2	no	—
386	C₂³×C₁₃	—	2	1	no	—
387	C₂³×C₁₃	—	2	1	no	—
388	C₂³×C₁₃	—	2	1	no	—
389	C₂³×C₁₃	—	2	1	no	—
390	C₂³×C₁₃	—	2	2	no	—
391	C₂³×C₁₃	—	2	2	no	—
392	C₂³×C₁₃	—	2	2	no	—
393	C₂³×C₁₃	—	2	2	no	—
394	C₂³×C₁₃	—	2	2	no	—
395	C₂³×C₁₃	—	2	2	no	—
396	C₂³×C₁₃	—	2	2	no	—
397	C₂³×C₁₃	—	2	2	no	—
398	C₂³×C₁₃	—	2	2	no	—
399	C₂³×C₁₃	—	2	2	no	—
400	C₂³×C₁₃	—	2	2	no	—
401	C₂³×C₁₃	—	2	2	no	—
402	C₂³×C₁₃	—	2	2	no	—
403	C₂³×C₁₃	—	2	2	no	—
404	C₂³×C₁₃	—	2	2	no	—
405	C₂³×C₁₃	—	2	2	no	—
406	C₂³×C₁₃	—	2	2	no	—
407	C₂³×C₁₃	—	2	2	no	—
408	C₂³×C₁₃	—	2	2	no	—
409	C₂³×C₁₃	—	2	2	no	—
410	C₂³×C₁₃	—	2	2	no	—
411	C₂³×C₁₃	—	4	8	no	—
412	C₂³×C₁₃	—	4	8	no	—
413	C₂³×C₁₃	—	4	8	no	—
414	C₂³×C₁₃	—	4	8	no	—
415	C₂³×C₁₃	—	4	8	no	—
416	C₂³×C₁₃	—	4	8	no	—
417	C₂³×C₁₃	—	4	8	no	—
418	C₂³×C₁₃	—	4	8	no	—
419	C₂³×C₁₃	—	4	8	no	—
420	C₂³×C₁₃	—	4	8	no	—
421	C₂³×C₁₃	—	4	4	no	—
422	C₂³×C₁₃	—	4	4	no	—
423	C₂³×C₁₃	—	4	8	no	—
424	C₂³×C₁₃	—	4	8	no	—
425	C₂³×C₁₃	—	4	4	no	—
426	C₂³×C₁₃	—	4	4	no	—
427	C₂³×C₁₃	—	4	4	no	—
428	C₂³×C₁₃	—	4	4	no	—
429	C₂³×C₁₃	—	4	8	no	—
430	C₂³×C₁₃	—	4	8	no	—
431	C₂³×C₁₃	—	4	8	no	—
432	C₂³×C₁₃	—	4	8	no	—
433	C₂³×C₁₃	—	4	8	no	—
434	C₂³×C₁₃	—	4	128	no	—
435	C₂³×C₁₃	—	4	8	no	—
436	C₂³×C₁₃	—	4	4	no	—
437	C₂³×C₁₃	—	4	4	no	—
438	C₂³×C₁₃	—	4	8	no	—
439	C₂³×C₁₃	C₂×#41	1	2	yes	—
440	C₂³×C₁₃	C₂×#41	1	2	yes	—
441	C₂³×C₁₃	C₂×#41	1	2	yes	—
442	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
443	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
444	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
445	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
446	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
447	Q₈×C₁₃	—	8	2	no	—
448	D₄×C₁₃	—	4	8	no	—
449	D₄×C₁₃	—	8	4	no	—
450	D₄×C₁₃	—	8	4	no	—
451	D₄×C₁₃	—	8	4	no	—
452	D₄×C₁₃	—	8	4	no	—
453	D₄×C₁₃	—	8	4	no	—
454	D₄×C₁₃	—	8	4	no	—
455	D₄×C₁₃	—	8	2	no	—
456	C₂×C₄×C₁₃	—	2	2	no	—
457	C₂×C₄×C₁₃	—	2	2	no	—
458	C₂×C₄×C₁₃	—	2	2	no	—
459	C₂×C₄×C₁₃	—	2	2	no	—
460	C₂×C₄×C₁₃	—	2	2	no	—
461	C₂×C₄×C₁₃	—	2	2	no	—
462	C₂×C₄×C₁₃	—	2	2	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	2	no	—
465	C₂×C₄×C₁₃	—	2	2	no	—
466	C₂×C₄×C₁₃	—	2	2	no	—
467	C₂×C₄×C₁₃	—	2	2	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	2	no	—
473	C₂×C₄×C₁₃	—	2	2	no	—
474	C₂×C₄×C₁₃	—	2	2	no	—
475	C₂×C₄×C₁₃	—	2	2	no	—
476	C₂×C₄×C₁₃	—	2	2	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	1	no	—
483	C₂×C₄×C₁₃	—	2	2	no	—
484	C₂×C₄×C₁₃	—	2	2	no	—
485	C₂×C₄×C₁₃	—	2	2	no	—
486	C₂×C₄×C₁₃	—	2	1	no	—
487	C₂×C₄×C₁₃	—	2	2	no	—
488	C₂×C₄×C₁₃	—	2	1	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	8	4	no	—
492	C₂×C₄×C₁₃	—	8	2	no	—
493	C₂×C₄×C₁₃	—	8	2	no	—
494	C₂×C₄×C₁₃	—	8	4	no	—
495	C₂⁶	C₂²×C₁₃	1	1	yes	characteristic
496	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
497	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
498	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
499	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
500	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
501	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
502	C₂×#120	C₂²×C₁₃	1	2	yes	—
503	C₂×#120	C₂²×C₁₃	1	2	yes	—
504	C₂×#120	C₂²×C₁₃	1	2	yes	—
505	C₂×#120	C₂²×C₁₃	1	2	yes	—
506	C₂×#120	C₂²×C₁₃	1	2	yes	—
507	C₂×#120	C₂²×C₁₃	1	2	yes	—
508	C₂×#120	C₂²×C₁₃	1	2	yes	—
509	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
510	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
511	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
512	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
513	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
514	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
515	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
516	#399	C₂²×C₁₃	1	2	yes	complemented
517	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
518	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
519	#397	C₂²×C₁₃	1	2	yes	complemented
520	#397	C₂²×C₁₃	1	2	yes	complemented
521	#397	C₂²×C₁₃	1	2	yes	complemented
522	#397	C₂²×C₁₃	1	2	yes	complemented
523	#397	C₂²×C₁₃	1	2	yes	complemented
524	#396	C₂²×C₁₃	1	2	yes	complemented
525	#396	C₂²×C₁₃	1	2	yes	complemented
526	#396	C₂²×C₁₃	1	2	yes	complemented
527	#396	C₂²×C₁₃	1	2	yes	complemented
528	#394	C₂²×C₁₃	1	2	yes	complemented
529	#394	C₂²×C₁₃	1	2	yes	complemented
530	#394	C₂²×C₁₃	1	2	yes	complemented
531	#394	C₂²×C₁₃	1	2	yes	complemented
532	#394	C₂²×C₁₃	1	2	yes	complemented
533	#394	C₂²×C₁₃	1	2	yes	complemented
534	#394	C₂²×C₁₃	1	2	yes	complemented
535	#394	C₂²×C₁₃	1	2	yes	complemented
536	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
538	#393	C₂²×C₁₃	1	2	yes	complemented
539	#392	C₂²×C₁₃	1	1	yes	characteristic, complemented
540	#392	C₂²×C₁₃	1	1	yes	characteristic, complemented
541	#392	C₂²×C₁₃	1	2	yes	complemented
542	#390	C₂²×C₁₃	1	2	yes	complemented
543	#390	C₂²×C₁₃	1	2	yes	complemented
544	#390	C₂²×C₁₃	1	2	yes	complemented
545	#390	C₂²×C₁₃	1	2	yes	complemented
546	#388	C₂²×C₁₃	1	2	yes	complemented
547	#388	C₂²×C₁₃	1	2	yes	complemented
548	#388	C₂²×C₁₃	1	2	yes	complemented
549	#388	C₂²×C₁₃	1	2	yes	complemented
550	#388	C₂²×C₁₃	1	2	yes	complemented
551	#388	C₂²×C₁₃	1	2	yes	complemented
552	#388	C₂²×C₁₃	1	2	yes	complemented
553	#388	C₂²×C₁₃	1	2	yes	complemented
554	#388	C₂²×C₁₃	1	2	yes	complemented
555	#388	C₂²×C₁₃	1	2	yes	complemented
556	#388	C₂²×C₁₃	1	2	yes	complemented
557	#388	C₂²×C₁₃	1	2	yes	complemented
558	#386	C₂²×C₁₃	1	2	yes	complemented
559	#386	C₂²×C₁₃	1	2	yes	complemented
560	#386	C₂²×C₁₃	1	2	yes	complemented
561	#386	C₂²×C₁₃	1	2	yes	complemented
562	#386	C₂²×C₁₃	1	2	yes	complemented
563	#386	C₂²×C₁₃	1	2	yes	complemented
564	#385	C₂²×C₁₃	1	2	yes	complemented
565	#385	C₂²×C₁₃	1	2	yes	complemented
566	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	#379	C₂²×C₁₃	1	2	yes	—
569	#379	C₂²×C₁₃	1	2	yes	—
570	#379	C₂²×C₁₃	1	2	yes	—
571	#379	C₂²×C₁₃	1	2	yes	—
572	#379	C₂²×C₁₃	1	2	yes	—
573	#379	C₂²×C₁₃	1	2	yes	—
574	#379	C₂²×C₁₃	1	2	yes	—
575	#379	C₂²×C₁₃	1	1	yes	characteristic
576	#379	C₂²×C₁₃	1	1	yes	characteristic
577	#379	C₂²×C₁₃	1	2	yes	—
578	#379	C₂²×C₁₃	1	2	yes	—
579	#379	C₂²×C₁₃	1	1	yes	characteristic
580	#379	C₂²×C₁₃	1	1	yes	characteristic
581	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
582	C₂²×C₁₃	—	2	4	no	—
583	C₂²×C₁₃	—	2	4	no	—
584	C₂²×C₁₃	—	2	2	no	—
585	C₂²×C₁₃	—	2	2	no	—
586	C₂²×C₁₃	—	2	2	no	—
587	C₂²×C₁₃	—	2	2	no	—
588	C₂²×C₁₃	—	2	4	no	—
589	C₂²×C₁₃	—	2	4	no	—
590	C₂²×C₁₃	—	2	4	no	—
591	C₂²×C₁₃	—	2	4	no	—
592	C₂²×C₁₃	—	2	4	no	—
593	C₂²×C₁₃	—	2	4	no	—
594	C₂²×C₁₃	—	2	4	no	—
595	C₂²×C₁₃	—	2	4	no	—
596	C₂²×C₁₃	—	4	32	no	—
597	C₂²×C₁₃	—	4	16	no	—
598	C₂²×C₁₃	—	4	32	no	—
599	C₂²×C₁₃	—	4	16	no	—
600	C₂²×C₁₃	—	4	16	no	—
601	C₂²×C₁₃	—	4	2	no	—
602	C₂²×C₁₃	—	4	2	no	—
603	C₂²×C₁₃	—	4	2	no	—
604	C₂²×C₁₃	—	4	2	no	—
605	C₂²×C₁₃	—	4	2	no	—
606	C₂²×C₁₃	—	4	1	no	—
607	C₂²×C₁₃	—	4	1	no	—
608	C₂²×C₁₃	—	4	2	no	—
609	C₂²×C₁₃	—	4	2	no	—
610	C₂²×C₁₃	—	4	2	no	—
611	C₂²×C₁₃	—	4	2	no	—
612	C₂²×C₁₃	—	4	2	no	—
613	C₂²×C₁₃	—	4	1	no	—
614	C₂²×C₁₃	—	4	1	no	—
615	C₂²×C₁₃	—	4	2	no	—
616	C₂²×C₁₃	—	4	2	no	—
617	C₂²×C₁₃	—	4	2	no	—
618	C₂²×C₁₃	—	4	2	no	—
619	C₂²×C₁₃	—	4	2	no	—
620	C₂²×C₁₃	—	4	2	no	—
621	C₂²×C₁₃	—	4	2	no	—
622	C₂²×C₁₃	#538	1	4	yes	—
623	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
624	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
625	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
626	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
627	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
628	C₄×C₁₃	—	4	2	no	—
629	C₄×C₁₃	—	4	2	no	—
630	C₄×C₁₃	—	4	2	no	—
631	C₄×C₁₃	—	4	2	no	—
632	C₄×C₁₃	—	4	1	no	—
633	C₄×C₁₃	—	4	1	no	—
634	C₄×C₁₃	—	4	2	no	—
635	C₄×C₁₃	—	4	1	no	—
636	C₄×C₁₃	—	4	2	no	—
637	C₄×C₁₃	—	4	1	no	—
638	C₄×C₁₃	—	4	2	no	—
639	C₄×C₁₃	—	4	2	no	—
640	C₄×C₁₃	—	4	2	no	—
641	C₂⁵	—	2	4	no	—
642	C₂⁵	—	4	4	no	—
643	C₂⁵	—	4	4	no	—
644	C₂⁵	—	4	2	no	—
645	C₂⁵	—	4	2	no	—
646	C₂⁵	C₂³×C₁₃	1	2	yes	—
647	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
648	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
649	C₂⁵	C₂³×C₁₃	1	2	yes	—
650	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
651	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
652	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
653	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
654	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
655	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
656	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
657	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
658	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
659	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
660	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
661	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
662	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
663	C₂³×C₄	C₂³×C₁₃	1	2	yes	complemented
664	#126	—	4	4	no	—
665	#124	—	4	4	no	—
666	#123	—	4	4	no	—
667	C₂²⋊Q₈	—	4	2	no	—
668	#121	—	4	4	no	—
669	#121	—	4	2	no	—
670	#120	—	2	8	no	—
671	#120	—	4	4	no	—
672	#120	—	4	4	no	—
673	#120	—	4	4	no	—
674	#120	—	4	4	no	—
675	#120	—	4	4	no	—
676	#120	—	4	4	no	—
677	C₄×D₄	—	4	4	no	—
678	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
679	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
680	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
681	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
682	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
683	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
684	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
685	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
686	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
687	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
688	C₂×C₂²⋊C₄	—	4	4	no	—
689	C₂×C₂²⋊C₄	—	4	4	no	—
690	C₂×C₂²⋊C₄	—	4	2	no	—
691	C₂×C₂²⋊C₄	—	4	2	no	—
692	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
703	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
705	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
707	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
708	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
709	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
711	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
712	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	complemented
729	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	complemented
730	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	complemented
731	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	complemented
732	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	complemented
733	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	complemented
734	C₂×C₄²	C₂³×C₁₃	1	2	yes	complemented
735	C₂×C₄²	C₂³×C₁₃	1	2	yes	complemented
736	C₂×C₄²	C₂³×C₁₃	1	2	yes	complemented
737	#95	C₂³×C₁₃	1	2	yes	complemented
738	#95	C₂³×C₁₃	1	2	yes	complemented
739	#95	C₂³×C₁₃	1	1	yes	characteristic, complemented
740	#95	C₂³×C₁₃	1	1	yes	characteristic, complemented
741	#95	C₂³×C₁₃	1	1	yes	characteristic, complemented
742	#95	C₂³×C₁₃	1	1	yes	characteristic, complemented
743	#95	C₂³×C₁₃	1	2	yes	complemented
744	#95	C₂³×C₁₃	1	2	yes	complemented
745	#95	C₂³×C₁₃	1	2	yes	complemented
746	#95	C₂³×C₁₃	1	2	yes	complemented
747	#95	C₂³×C₁₃	1	2	yes	complemented
748	#95	C₂³×C₁₃	1	2	yes	complemented
749	#95	C₂³×C₁₃	1	2	yes	complemented
750	#95	C₂³×C₁₃	1	2	yes	complemented
751	C₂×C₁₃	—	2	4	no	—
752	C₂×C₁₃	—	4	2	no	—
753	C₂×C₁₃	—	4	2	no	—
754	C₂×C₁₃	—	4	4	no	—
755	C₂×C₁₃	—	4	4	no	—
756	C₂×C₁₃	—	8	2	no	—
757	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
758	C₂×C₁₃	#3490	1	2	yes	—
759	C₂×C₁₃	#3532	1	2	yes	—
760	C₂×C₁₃	#3532	1	1	yes	characteristic
761	C₂×C₁₃	#3532	1	1	yes	characteristic
762	C₂⁴	—	2	4	no	—
763	C₂⁴	—	2	4	no	—
764	C₂⁴	—	2	4	no	—
765	C₂⁴	—	2	2	no	—
766	C₂⁴	—	2	2	no	—
767	C₂⁴	—	2	2	no	—
768	C₂⁴	—	2	2	no	—
769	C₂⁴	—	2	4	no	—
770	C₂⁴	—	2	4	no	—
771	C₂⁴	—	2	4	no	—
772	C₂⁴	—	2	4	no	—
773	C₂⁴	—	2	4	no	—
774	C₂⁴	—	2	4	no	—
775	C₂⁴	—	2	4	no	—
776	C₂⁴	—	4	2	no	—
777	C₂⁴	—	4	2	no	—
778	C₂⁴	—	4	2	no	—
779	C₂⁴	—	4	2	no	—
780	C₂⁴	—	4	1	no	—
781	C₂⁴	—	4	1	no	—
782	C₂⁴	—	4	2	no	—
783	C₂⁴	—	4	2	no	—
784	C₂⁴	—	4	2	no	—
785	C₂⁴	—	4	2	no	—
786	C₂⁴	—	4	2	no	—
787	C₂⁴	—	4	1	no	—
788	C₂⁴	—	4	1	no	—
789	C₂⁴	—	4	2	no	—
790	C₂⁴	—	4	32	no	—
791	C₂⁴	—	4	16	no	—
792	C₂⁴	—	4	32	no	—
793	C₂⁴	—	4	16	no	—
794	C₂⁴	—	4	16	no	—
795	C₂⁴	C₁₃×#41	1	4	yes	—
796	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
797	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
798	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
799	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
800	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
801	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
802	C₂×Q₈	—	4	1	no	—
803	C₂×Q₈	—	4	2	no	—
804	C₂×D₄	—	2	4	no	—
805	C₂×D₄	—	2	4	no	—
806	C₂×D₄	—	2	4	no	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	4	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	—	4	2	no	—
814	C₂×D₄	—	4	2	no	—
815	C₂×D₄	—	4	2	no	—
816	C₂×D₄	—	4	2	no	—
817	C₂×D₄	—	4	2	no	—
818	C₂×D₄	—	4	2	no	—
819	C₂×D₄	—	4	2	no	—
820	C₂×D₄	—	4	2	no	—
821	C₂×D₄	—	4	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	1	no	—
827	C₂²×C₄	—	2	4	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	4	2	no	—
831	C₂²×C₄	—	4	2	no	—
832	C₂²×C₄	—	4	2	no	—
833	C₂²×C₄	—	4	2	no	—
834	C₂²×C₄	—	4	2	no	—
835	C₂²×C₄	—	4	2	no	—
836	C₂²×C₄	—	4	2	no	—
837	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
838	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
839	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
840	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
841	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
842	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
845	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
846	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
847	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
848	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
849	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
850	C₄⋊C₄	—	4	2	no	—
851	C₄⋊C₄	—	4	2	no	—
852	C₄⋊C₄	—	4	1	no	—
853	C₄⋊C₄	—	4	1	no	—
854	C₄⋊C₄	—	4	2	no	—
855	C₄⋊C₄	—	4	2	no	—
856	C₄⋊C₄	—	4	2	no	—
857	C₄⋊C₄	—	4	2	no	—
858	C₄⋊C₄	—	4	2	no	—
859	C₄⋊C₄	—	4	2	no	—
860	C₂²⋊C₄	—	2	4	no	—
861	C₂²⋊C₄	—	2	4	no	—
862	C₂²⋊C₄	—	2	4	no	—
863	C₂²⋊C₄	—	2	4	no	—
864	C₂²⋊C₄	—	2	4	no	—
865	C₂²⋊C₄	—	2	4	no	—
866	C₂²⋊C₄	—	2	4	no	—
867	C₂²⋊C₄	—	2	4	no	—
868	C₂²⋊C₄	—	2	4	no	—
869	C₂²⋊C₄	—	2	4	no	—
870	C₂²⋊C₄	—	2	4	no	—
871	C₂²⋊C₄	—	2	4	no	—
872	C₂²⋊C₄	—	2	4	no	—
873	C₂²⋊C₄	—	4	2	no	—
874	C₂²⋊C₄	—	4	2	no	—
875	C₂²⋊C₄	—	4	1	no	—
876	C₂²⋊C₄	—	4	2	no	—
877	C₂²⋊C₄	—	4	2	no	—
878	C₂²⋊C₄	—	4	2	no	—
879	C₂²⋊C₄	—	4	1	no	—
880	C₂²⋊C₄	—	4	1	no	—
881	C₂²⋊C₄	—	4	1	no	—
882	C₂²⋊C₄	—	4	1	no	—
883	C₂²⋊C₄	—	4	1	no	—
884	C₂²⋊C₄	—	4	2	no	—
885	C₂²⋊C₄	—	4	2	no	—
886	C₂²⋊C₄	—	4	2	no	—
887	C₂²⋊C₄	—	4	2	no	—
888	C₂²⋊C₄	—	4	2	no	—
889	C₂²⋊C₄	—	4	2	no	—
890	C₂²⋊C₄	—	4	2	no	—
891	C₂²⋊C₄	—	4	2	no	—
892	C₂²⋊C₄	—	4	2	no	—
893	C₂²⋊C₄	—	4	2	no	—
894	C₂²⋊C₄	—	4	2	no	—
895	C₂²⋊C₄	—	4	2	no	—
896	C₂²⋊C₄	—	4	2	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	2	no	—
902	C₄²	—	4	2	no	—
903	C₄²	—	4	2	no	—
904	C₄²	—	4	2	no	—
905	C₁₃	#36725	1	1	yes	characteristic, direct product factor, Sylow
906	C₂³	—	2	2	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	16	no	—
909	C₂³	—	2	8	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	2	2	no	—
912	C₂³	—	2	1	no	—
913	C₂³	—	2	1	no	—
914	C₂³	—	2	1	no	—
915	C₂³	—	2	1	no	—
916	C₂³	—	2	2	no	—
917	C₂³	—	2	2	no	—
918	C₂³	—	2	2	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	2	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	2	2	no	—
924	C₂³	—	2	2	no	—
925	C₂³	—	2	2	no	—
926	C₂³	—	2	2	no	—
927	C₂³	—	2	2	no	—
928	C₂³	—	2	2	no	—
929	C₂³	—	2	2	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	2	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	4	8	no	—
938	C₂³	—	4	8	no	—
939	C₂³	—	4	8	no	—
940	C₂³	—	4	8	no	—
941	C₂³	—	4	8	no	—
942	C₂³	—	4	8	no	—
943	C₂³	—	4	4	no	—
944	C₂³	—	4	4	no	—
945	C₂³	—	4	8	no	—
946	C₂³	—	4	8	no	—
947	C₂³	—	4	8	no	—
948	C₂³	—	4	8	no	—
949	C₂³	—	4	8	no	—
950	C₂³	—	4	4	no	—
951	C₂³	—	4	4	no	—
952	C₂³	—	4	8	no	—
953	C₂³	—	4	8	no	—
954	C₂³	—	4	8	no	—
955	C₂³	—	4	8	no	—
956	C₂³	—	4	8	no	—
957	C₂³	—	4	4	no	—
958	C₂³	—	4	4	no	—
959	C₂³	—	4	8	no	—
960	C₂³	—	4	128	no	—
961	C₂³	—	4	8	no	—
962	C₂³	—	4	4	no	—
963	C₂³	—	4	4	no	—
964	C₂³	—	4	8	no	—
965	C₂³	C₂×C₁₃×#41	1	2	yes	—
966	C₂³	C₂×C₁₃×#41	1	2	yes	—
967	C₂³	C₂×C₁₃×#41	1	2	yes	—
968	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
969	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
970	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
971	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
972	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
973	Q₈	—	8	2	no	—
974	D₄	—	4	8	no	—
975	D₄	—	8	4	no	—
976	D₄	—	8	4	no	—
977	D₄	—	8	4	no	—
978	D₄	—	8	4	no	—
979	D₄	—	8	4	no	—
980	D₄	—	8	4	no	—
981	D₄	—	8	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	2	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	2	no	—
991	C₂×C₄	—	2	2	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	2	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	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	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	1	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	2	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	8	4	no	—
1018	C₂×C₄	—	8	2	no	—
1019	C₂×C₄	—	8	2	no	—
1020	C₂×C₄	—	8	4	no	—
1021	C₂²	—	2	4	no	—
1022	C₂²	—	2	2	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	4	no	—
1025	C₂²	—	2	4	no	—
1026	C₂²	—	2	4	no	—
1027	C₂²	—	2	4	no	—
1028	C₂²	—	2	4	no	—
1029	C₂²	—	2	2	no	—
1030	C₂²	—	2	2	no	—
1031	C₂²	—	2	4	no	—
1032	C₂²	—	2	4	no	—
1033	C₂²	—	2	4	no	—
1034	C₂²	—	2	4	no	—
1035	C₂²	—	4	32	no	—
1036	C₂²	—	4	16	no	—
1037	C₂²	—	4	16	no	—
1038	C₂²	—	4	32	no	—
1039	C₂²	—	4	16	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	1	no	—
1046	C₂²	—	4	1	no	—
1047	C₂²	—	4	2	no	—
1048	C₂²	—	4	1	no	—
1049	C₂²	—	4	1	no	—
1050	C₂²	—	4	2	no	—
1051	C₂²	—	4	2	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	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	C₁₃×#538	1	4	yes	—
1062	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1063	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1064	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1065	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1066	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1067	C₄	—	4	2	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	1	no	—
1070	C₄	—	4	2	no	—
1071	C₄	—	4	1	no	—
1072	C₄	—	4	2	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	2	no	—
1075	C₄	—	4	2	no	—
1076	C₄	—	4	2	no	—
1077	C₄	—	4	2	no	—
1078	C₄	—	4	2	no	—
1079	C₄	—	4	2	no	—
1080	C₂	—	2	4	no	—
1081	C₂	—	4	4	no	—
1082	C₂	—	4	4	no	—
1083	C₂	—	4	2	no	—
1084	C₂	—	4	2	no	—
1085	C₂	—	8	2	no	—
1086	C₂	C₂×C₁₃×#538	1	1	yes	characteristic
1087	C₂	C₁₃×#3490	1	2	yes	—
1088	C₂	C₁₃×#3532	1	2	yes	—
1089	C₂	C₁₃×#3532	1	1	yes	characteristic
1090	C₂	C₁₃×#3532	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×#2846	C₂	semidirect
2. C₁₃×#2736	C₂	semidirect
3. C₁₃×#2735	C₂	semidirect
4. C₁₃×#2735	C₂	semidirect
5. C₁₃×#2697	C₂	semidirect
6. C₁₃×#2685	C₂	semidirect
7. C₁₃×#2685	C₂	semidirect
8. C₁₃×#2684	C₂	semidirect
9. C₁₃×#2678	C₂	semidirect
10. C₁₃×#2670	C₂	semidirect
11. C₁₃×#2668	C₂	semidirect
12. C₁₃×#2626	C₂	semidirect
13. C₁₃×#2617	C₂	semidirect
14. C₁₃×#2480	C₂	semidirect
15. C₁₃×#2472	C₂	semidirect
16. C₁₃×#2424	C₂	semidirect
17. C₁₃×#2418	C₂	semidirect
18. C₁₃×#2321	C₂	semidirect
19. C₂×C₁₃×#379	C₂	semidirect
21. C₂×C₁₃×#126	C₂²	semidirect
22. C₂×C₁₃×#124	C₂²	semidirect
23. C₂×C₁₃×#123	C₂²	semidirect
24. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
25. C₂×C₁₃×#121	C₂²	semidirect
26. C₂×C₁₃×#121	C₂²	semidirect
34. C₂×C₄×D₄×C₁₃	C₂²	semidirect
39. C₁₃×#399	C₂²	semidirect
40. C₁₃×#399	C₂²	semidirect
41. C₁₃×#399	C₂²	semidirect
42. C₁₃×#397	C₂²	semidirect
43. C₁₃×#397	C₂²	semidirect
44. C₁₃×#397	C₂²	semidirect
45. C₁₃×#397	C₂²	semidirect
46. C₁₃×#397	C₂²	semidirect
47. C₁₃×#397	C₂²	semidirect
48. C₁₃×#397	C₂²	semidirect
49. C₁₃×#396	C₂²	semidirect
50. C₁₃×#396	C₂²	semidirect
51. C₁₃×#396	C₂²	semidirect
52. C₁₃×#396	C₂²	semidirect
53. C₁₃×#394	C₂²	semidirect
54. C₁₃×#394	C₂²	semidirect
55. C₁₃×#394	C₂²	semidirect
56. C₁₃×#394	C₂²	semidirect
57. C₁₃×#394	C₂²	semidirect
58. C₁₃×#394	C₂²	semidirect
59. C₁₃×#394	C₂²	semidirect
60. C₁₃×#394	C₂²	semidirect
61. C₁₃×#393	C₂²	semidirect
62. C₁₃×#393	C₂²	semidirect
63. C₁₃×#393	C₂²	semidirect
64. C₁₃×#392	C₂²	semidirect
65. C₁₃×#392	C₂²	semidirect
66. C₁₃×#392	C₂²	semidirect
67. C₁₃×#390	C₂²	semidirect
68. C₁₃×#390	C₂²	semidirect
69. C₁₃×#390	C₂²	semidirect
70. C₁₃×#390	C₂²	semidirect
71. C₁₃×#388	C₂²	semidirect
72. C₁₃×#388	C₂²	semidirect
73. C₁₃×#388	C₂²	semidirect
74. C₁₃×#388	C₂²	semidirect
75. C₁₃×#388	C₂²	semidirect
76. C₁₃×#388	C₂²	semidirect
77. C₁₃×#388	C₂²	semidirect
78. C₁₃×#388	C₂²	semidirect
79. C₁₃×#388	C₂²	semidirect
80. C₁₃×#388	C₂²	semidirect
81. C₁₃×#388	C₂²	semidirect
82. C₁₃×#388	C₂²	semidirect
83. C₁₃×#386	C₂²	semidirect
84. C₁₃×#386	C₂²	semidirect
85. C₁₃×#386	C₂²	semidirect
86. C₁₃×#386	C₂²	semidirect
87. C₁₃×#386	C₂²	semidirect
88. C₁₃×#386	C₂²	semidirect
89. C₁₃×#385	C₂²	semidirect
90. C₁₃×#385	C₂²	semidirect
91. C₁₃×#380	C₂²	semidirect
92. C₁₃×#380	C₂²	semidirect
106. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
117. C₂²×Q₈×C₁₃	C₂³	semidirect
125. C₂²×D₄×C₁₃	C₂³	semidirect
129. C₂³×C₄×C₁₃	C₂³	semidirect
144. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
145. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
146. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
147. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
148. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
149. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
150. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
151. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
152. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
153. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
194. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
195. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
196. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
197. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
198. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
199. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
200. C₂×C₄²×C₁₃	C₂³	semidirect
201. C₂×C₄²×C₁₃	C₂³	semidirect
202. C₂×C₄²×C₁₃	C₂³	semidirect
203. C₁₃×#95	C₂³	semidirect
204. C₁₃×#95	C₂³	semidirect
205. C₁₃×#95	C₂³	semidirect
206. C₁₃×#95	C₂³	semidirect
207. C₁₃×#95	C₂³	semidirect
208. C₁₃×#95	C₂³	semidirect
209. C₁₃×#95	C₂³	semidirect
210. C₁₃×#95	C₂³	semidirect
211. C₁₃×#95	C₂³	semidirect
212. C₁₃×#95	C₂³	semidirect
213. C₁₃×#95	C₂³	semidirect
214. C₁₃×#95	C₂³	semidirect
215. C₁₃×#95	C₂³	semidirect
216. C₁₃×#95	C₂³	semidirect
217. #36725	C₁₃	direct (N × H)
361. #2846	C₂×C₁₃	semidirect
362. #2736	C₂×C₁₃	semidirect
363. #2735	C₂×C₁₃	semidirect
364. #2735	C₂×C₁₃	semidirect
365. #2697	C₂×C₁₃	semidirect
366. #2685	C₂×C₁₃	semidirect
367. #2685	C₂×C₁₃	semidirect
368. #2684	C₂×C₁₃	semidirect
369. #2678	C₂×C₁₃	semidirect
370. #2670	C₂×C₁₃	semidirect
371. #2668	C₂×C₁₃	semidirect
372. #2626	C₂×C₁₃	semidirect
373. #2617	C₂×C₁₃	semidirect
374. #2480	C₂×C₁₃	semidirect
375. #2472	C₂×C₁₃	semidirect
376. #2424	C₂×C₁₃	semidirect
377. #2418	C₂×C₁₃	semidirect
378. #2321	C₂×C₁₃	semidirect
379. C₂×#379	C₂×C₁₃	semidirect
496. C₂×#126	C₂²×C₁₃	semidirect
497. C₂×#124	C₂²×C₁₃	semidirect
498. C₂×#123	C₂²×C₁₃	semidirect
499. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
500. C₂×#121	C₂²×C₁₃	semidirect
501. C₂×#121	C₂²×C₁₃	semidirect
509. C₂×C₄×D₄	C₂²×C₁₃	semidirect
514. #399	C₂²×C₁₃	semidirect
515. #399	C₂²×C₁₃	semidirect
516. #399	C₂²×C₁₃	semidirect
517. #397	C₂²×C₁₃	semidirect
518. #397	C₂²×C₁₃	semidirect
519. #397	C₂²×C₁₃	semidirect
520. #397	C₂²×C₁₃	semidirect
521. #397	C₂²×C₁₃	semidirect
522. #397	C₂²×C₁₃	semidirect
523. #397	C₂²×C₁₃	semidirect
524. #396	C₂²×C₁₃	semidirect
525. #396	C₂²×C₁₃	semidirect
526. #396	C₂²×C₁₃	semidirect
527. #396	C₂²×C₁₃	semidirect
528. #394	C₂²×C₁₃	semidirect
529. #394	C₂²×C₁₃	semidirect
530. #394	C₂²×C₁₃	semidirect
531. #394	C₂²×C₁₃	semidirect
532. #394	C₂²×C₁₃	semidirect
533. #394	C₂²×C₁₃	semidirect
534. #394	C₂²×C₁₃	semidirect
535. #394	C₂²×C₁₃	semidirect
536. #393	C₂²×C₁₃	semidirect
537. #393	C₂²×C₁₃	semidirect
538. #393	C₂²×C₁₃	semidirect
539. #392	C₂²×C₁₃	semidirect
540. #392	C₂²×C₁₃	semidirect
541. #392	C₂²×C₁₃	semidirect
542. #390	C₂²×C₁₃	semidirect
543. #390	C₂²×C₁₃	semidirect
544. #390	C₂²×C₁₃	semidirect
545. #390	C₂²×C₁₃	semidirect
546. #388	C₂²×C₁₃	semidirect
547. #388	C₂²×C₁₃	semidirect
548. #388	C₂²×C₁₃	semidirect
549. #388	C₂²×C₁₃	semidirect
550. #388	C₂²×C₁₃	semidirect
551. #388	C₂²×C₁₃	semidirect
552. #388	C₂²×C₁₃	semidirect
553. #388	C₂²×C₁₃	semidirect
554. #388	C₂²×C₁₃	semidirect
555. #388	C₂²×C₁₃	semidirect
556. #388	C₂²×C₁₃	semidirect
557. #388	C₂²×C₁₃	semidirect
558. #386	C₂²×C₁₃	semidirect
559. #386	C₂²×C₁₃	semidirect
560. #386	C₂²×C₁₃	semidirect
561. #386	C₂²×C₁₃	semidirect
562. #386	C₂²×C₁₃	semidirect
563. #386	C₂²×C₁₃	semidirect
564. #385	C₂²×C₁₃	semidirect
565. #385	C₂²×C₁₃	semidirect
566. #380	C₂²×C₁₃	semidirect
567. #380	C₂²×C₁₃	semidirect
581. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
651. C₂²×Q₈	C₂³×C₁₃	semidirect
659. C₂²×D₄	C₂³×C₁₃	semidirect
663. C₂³×C₄	C₂³×C₁₃	semidirect
678. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
679. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
680. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
681. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
682. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
683. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
684. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
685. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
686. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
687. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
728. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
729. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
730. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
731. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
732. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
733. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
734. C₂×C₄²	C₂³×C₁₃	semidirect
735. C₂×C₄²	C₂³×C₁₃	semidirect
736. C₂×C₄²	C₂³×C₁₃	semidirect
737. #95	C₂³×C₁₃	semidirect
738. #95	C₂³×C₁₃	semidirect
739. #95	C₂³×C₁₃	semidirect
740. #95	C₂³×C₁₃	semidirect
741. #95	C₂³×C₁₃	semidirect
742. #95	C₂³×C₁₃	semidirect
743. #95	C₂³×C₁₃	semidirect
744. #95	C₂³×C₁₃	semidirect
745. #95	C₂³×C₁₃	semidirect
746. #95	C₂³×C₁₃	semidirect
747. #95	C₂³×C₁₃	semidirect
748. #95	C₂³×C₁₃	semidirect
749. #95	C₂³×C₁₃	semidirect
750. #95	C₂³×C₁₃	semidirect
905. C₁₃	#36725	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×#2846	2
C₁₃×#2736	2
C₁₃×#2735	2
C₁₃×#2697	2
C₁₃×#2685	2
C₁₃×#2684	2
C₁₃×#2678	2
C₁₃×#2670	2
C₁₃×#2668	2
C₁₃×#2626	2
C₁₃×#2617	2
C₁₃×#2480	2
C₁₃×#2472	2
C₁₃×#2424	2
C₁₃×#2418	2
C₁₃×#2321	2
C₂×C₁₃×#379	2
#36725	13

Subgroups — C13×#36725 #15723064

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36725 #15723064