Subgroups — C₁₃×#34306 #15720645

Order 3328.

2344 conjugacy classes of subgroups.

The subgroup lattice has 1036 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#555	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2372	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2367	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2365	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2364	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2357	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2347	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2346	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2343	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2337	C₂	1	2	yes	maximal, complemented
14	C₁₃×#2333	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2331	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₁₃×#124	C₂	1	2	yes	maximal, complemented
18	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2298	C₂	1	2	yes	maximal, complemented
20	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2274	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#555	C₄	1	16	yes	complemented
25	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#124	C₂²	1	2	yes	—
27	C₂×C₁₃×#124	C₂²	1	2	yes	—
28	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#121	C₂²	1	2	yes	—
31	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
35	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#117	C₂²	1	2	yes	—
43	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
45	C₁₃×#391	C₂²	1	2	yes	—
46	C₁₃×#391	C₂²	1	2	yes	—
47	C₁₃×#391	C₂²	1	2	yes	—
48	C₁₃×#390	C₂²	1	1	yes	characteristic
49	C₁₃×#390	C₂²	1	2	yes	—
50	C₁₃×#390	C₂²	1	1	yes	characteristic
51	C₁₃×#390	C₂²	1	2	yes	—
52	C₁₃×#389	C₂²	1	1	yes	characteristic
53	C₁₃×#389	C₂²	1	1	yes	characteristic
54	C₁₃×#389	C₂²	1	1	yes	characteristic
55	C₁₃×#389	C₂²	1	1	yes	characteristic
56	C₁₃×#388	C₂²	1	1	yes	characteristic
57	C₁₃×#388	C₂²	1	1	yes	characteristic
58	C₁₃×#388	C₂²	1	2	yes	—
59	C₁₃×#388	C₂²	1	2	yes	—
60	C₁₃×#388	C₂²	1	2	yes	—
61	C₁₃×#388	C₂²	1	2	yes	—
62	C₁₃×#388	C₂²	1	2	yes	—
63	C₁₃×#388	C₂²	1	2	yes	—
64	C₁₃×#388	C₂²	1	2	yes	—
65	C₁₃×#388	C₂²	1	2	yes	—
66	C₁₃×#388	C₂²	1	2	yes	—
67	C₁₃×#388	C₂²	1	2	yes	—
68	C₁₃×#388	C₂²	1	2	yes	—
69	C₁₃×#387	C₂²	1	1	yes	characteristic
70	C₁₃×#387	C₂²	1	1	yes	characteristic
71	C₁₃×#387	C₂²	1	2	yes	—
72	C₁₃×#387	C₂²	1	2	yes	—
73	C₁₃×#387	C₂²	1	2	yes	—
74	C₁₃×#387	C₂²	1	2	yes	—
75	C₁₃×#387	C₂²	1	2	yes	—
76	C₁₃×#386	C₂²	1	1	yes	characteristic
77	C₁₃×#386	C₂²	1	1	yes	characteristic
78	C₁₃×#386	C₂²	1	2	yes	—
79	C₁₃×#386	C₂²	1	2	yes	—
80	C₁₃×#386	C₂²	1	2	yes	—
81	C₁₃×#386	C₂²	1	2	yes	—
82	C₁₃×#386	C₂²	1	2	yes	—
83	C₁₃×#385	C₂²	1	1	yes	characteristic
84	C₁₃×#385	C₂²	1	1	yes	characteristic
85	C₁₃×#385	C₂²	1	2	yes	—
86	C₁₃×#385	C₂²	1	2	yes	—
87	C₁₃×#383	C₂²	1	2	yes	—
88	C₁₃×#382	C₂²	1	2	yes	—
89	C₁₃×#382	C₂²	1	1	yes	characteristic
90	C₁₃×#381	C₂²	1	2	yes	—
91	C₁₃×#380	C₂²	1	1	yes	characteristic
92	C₁₃×#380	C₂²	1	1	yes	characteristic
93	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
94	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
95	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
96	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
97	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
98	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
99	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
100	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
101	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
102	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
103	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
104	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
106	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
107	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
108	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
109	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
110	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
111	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
112	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
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	2	yes	—
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
119	C₁₃×#376	C₂²	1	2	yes	—
120	C₁₃×#376	C₂²	1	1	yes	characteristic
121	C₁₃×#376	C₂²	1	2	yes	—
122	C₂×C₁₃×#95	C₂²	1	2	yes	—
123	C₄³×C₁₃	C₂²	1	2	yes	—
124	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
135	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
137	C₁₃×C₄⋊Q₈	C₂×C₄	1	8	yes	complemented
138	C₁₃×#124	C₂×C₄	1	16	yes	complemented
139	C₁₃×#124	C₂×C₄	1	16	yes	complemented
140	C₁₃×#121	C₂×C₄	1	8	yes	complemented
141	C₁₃×#121	C₂×C₄	1	8	yes	complemented
142	C₁₃×#121	C₂×C₄	1	16	yes	complemented
143	C₄×Q₈×C₁₃	—	4	4	no	—
144	C₄×D₄×C₁₃	—	2	4	no	—
145	C₄×D₄×C₁₃	—	2	4	no	—
146	C₄×D₄×C₁₃	—	4	4	no	—
147	C₄×D₄×C₁₃	—	4	4	no	—
148	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
149	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
150	C₁₃×#117	—	2	4	no	—
151	C₁₃×#117	—	2	4	no	—
152	C₁₃×#117	C₂×C₄	1	8	yes	complemented
153	C₁₃×#117	C₂×C₄	1	8	yes	complemented
154	C₁₃×#117	C₂×C₄	1	16	yes	complemented
155	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
156	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	1	yes	characteristic
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₁₃	—	2	4	no	—
197	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
198	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
201	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
205	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
206	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
211	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
212	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₁₃×#95	C₂³	1	2	yes	—
217	C₁₃×#95	C₂³	1	1	yes	characteristic
218	C₁₃×#95	C₂³	1	1	yes	characteristic
219	C₁₃×#95	C₂³	1	2	yes	—
220	C₁₃×#95	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	2	yes	—
224	C₁₃×#95	C₂³	1	1	yes	characteristic
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	C₁₃×#95	C₂³	1	2	yes	—
234	C₁₃×#95	C₂³	1	1	yes	characteristic
235	C₁₃×#95	C₂³	1	2	yes	—
236	C₁₃×#95	C₂³	1	2	yes	—
237	C₁₃×#95	C₂³	1	1	yes	characteristic
238	C₁₃×#95	C₂³	1	2	yes	—
239	C₁₃×#95	C₂³	1	1	yes	characteristic
240	C₁₃×#95	C₂³	1	1	yes	characteristic
241	C₁₃×#95	C₂³	1	2	yes	—
242	C₁₃×#95	C₂³	1	2	yes	—
243	#34306	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
244	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
245	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
246	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
247	C₂×Q₈×C₁₃	—	4	2	no	—
248	C₂×Q₈×C₁₃	—	4	2	no	—
249	C₂×Q₈×C₁₃	C₂²×C₄	1	8	yes	—
250	C₂×D₄×C₁₃	—	2	2	no	—
251	C₂×D₄×C₁₃	—	2	2	no	—
252	C₂×D₄×C₁₃	—	4	2	no	—
253	C₂×D₄×C₁₃	—	4	2	no	—
254	C₂×D₄×C₁₃	—	4	2	no	—
255	C₂×D₄×C₁₃	—	4	2	no	—
256	C₂×D₄×C₁₃	—	4	1	no	—
257	C₂×D₄×C₁₃	—	4	1	no	—
258	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
259	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
260	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
261	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
262	C₂²×C₄×C₁₃	—	2	2	no	—
263	C₂²×C₄×C₁₃	—	2	2	no	—
264	C₂²×C₄×C₁₃	—	2	2	no	—
265	C₂²×C₄×C₁₃	—	2	2	no	—
266	C₂²×C₄×C₁₃	—	2	2	no	—
267	C₂²×C₄×C₁₃	—	2	2	no	—
268	C₂²×C₄×C₁₃	—	2	2	no	—
269	C₂²×C₄×C₁₃	—	2	4	no	—
270	C₂²×C₄×C₁₃	—	2	4	no	—
271	C₂²×C₄×C₁₃	—	2	4	no	—
272	C₂²×C₄×C₁₃	—	4	1	no	—
273	C₂²×C₄×C₁₃	—	4	2	no	—
274	C₂²×C₄×C₁₃	—	4	2	no	—
275	C₂²×C₄×C₁₃	—	4	1	no	—
276	C₂²×C₄×C₁₃	—	4	1	no	—
277	C₂²×C₄×C₁₃	—	4	2	no	—
278	C₂²×C₄×C₁₃	—	4	2	no	—
279	C₂²×C₄×C₁₃	—	4	2	no	—
280	C₂²×C₄×C₁₃	—	4	2	no	—
281	C₂²×C₄×C₁₃	—	4	2	no	—
282	C₂²×C₄×C₁₃	—	4	2	no	—
283	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
284	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
285	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
286	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	4	no	—
307	C₁₃×C₄⋊C₄	—	2	2	no	—
308	C₁₃×C₄⋊C₄	—	2	2	no	—
309	C₁₃×C₄⋊C₄	—	2	2	no	—
310	C₁₃×C₄⋊C₄	—	2	2	no	—
311	C₁₃×C₄⋊C₄	—	2	2	no	—
312	C₁₃×C₄⋊C₄	—	2	4	no	—
313	C₁₃×C₄⋊C₄	—	2	2	no	—
314	C₁₃×C₄⋊C₄	—	4	2	no	—
315	C₁₃×C₄⋊C₄	—	4	1	no	—
316	C₁₃×C₄⋊C₄	—	4	2	no	—
317	C₁₃×C₄⋊C₄	—	4	2	no	—
318	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
319	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
320	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
321	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
322	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
323	C₁₃×C₄⋊C₄	#41	1	4	yes	—
324	C₁₃×C₂²⋊C₄	—	2	2	no	—
325	C₁₃×C₂²⋊C₄	—	2	2	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	—	2	4	no	—
330	C₁₃×C₂²⋊C₄	—	2	2	no	—
331	C₁₃×C₂²⋊C₄	—	4	1	no	—
332	C₁₃×C₂²⋊C₄	—	4	1	no	—
333	C₁₃×C₂²⋊C₄	—	4	2	no	—
334	C₁₃×C₂²⋊C₄	—	4	2	no	—
335	C₁₃×C₂²⋊C₄	—	4	2	no	—
336	C₁₃×C₂²⋊C₄	—	4	2	no	—
337	C₁₃×C₂²⋊C₄	—	4	1	no	—
338	C₁₃×C₂²⋊C₄	—	4	2	no	—
339	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
340	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
341	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
342	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
343	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
344	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
345	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
346	C₄²×C₁₃	—	2	2	no	—
347	C₄²×C₁₃	—	2	2	no	—
348	C₄²×C₁₃	—	2	2	no	—
349	C₄²×C₁₃	—	2	4	no	—
350	C₄²×C₁₃	—	2	2	no	—
351	C₄²×C₁₃	—	2	2	no	—
352	C₄²×C₁₃	—	2	4	no	—
353	C₄²×C₁₃	—	4	2	no	—
354	C₄²×C₁₃	—	4	2	no	—
355	C₄²×C₁₃	—	4	2	no	—
356	C₄²×C₁₃	—	4	2	no	—
357	C₄²×C₁₃	—	4	2	no	—
358	C₄²×C₁₃	—	4	2	no	—
359	C₄²×C₁₃	—	4	2	no	—
360	C₄²×C₁₃	—	4	2	no	—
361	C₄²×C₁₃	C₂²×C₄	1	8	yes	—
362	C₄²×C₁₃	C₂²×C₄	1	8	yes	—
363	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
364	C₄²×C₁₃	#41	1	4	yes	—
365	C₂×#555	C₂×C₁₃	1	1	yes	characteristic
366	#2372	C₂×C₁₃	1	2	yes	complemented
367	#2367	C₂×C₁₃	1	2	yes	complemented
368	#2365	C₂×C₁₃	1	1	yes	characteristic, complemented
369	#2364	C₂×C₁₃	1	2	yes	complemented
370	#2363	C₂×C₁₃	1	1	yes	characteristic, complemented
371	#2361	C₂×C₁₃	1	1	yes	characteristic, complemented
372	#2357	C₂×C₁₃	1	1	yes	characteristic, complemented
373	#2352	C₂×C₁₃	1	1	yes	characteristic, complemented
374	#2347	C₂×C₁₃	1	1	yes	characteristic, complemented
375	#2346	C₂×C₁₃	1	1	yes	characteristic, complemented
376	#2343	C₂×C₁₃	1	2	yes	complemented
377	#2337	C₂×C₁₃	1	2	yes	complemented
378	#2333	C₂×C₁₃	1	2	yes	complemented
379	#2331	C₂×C₁₃	1	1	yes	characteristic, complemented
380	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
381	C₄×#124	C₂×C₁₃	1	2	yes	complemented
382	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
383	#2298	C₂×C₁₃	1	2	yes	complemented
384	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
385	#2275	C₂×C₁₃	1	1	yes	characteristic, complemented
386	#2274	C₂×C₁₃	1	1	yes	characteristic, complemented
387	C₄×#117	C₂×C₁₃	1	1	yes	characteristic, complemented
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	1	no	—
393	C₂³×C₁₃	—	2	1	no	—
394	C₂³×C₁₃	—	2	2	no	—
395	C₂³×C₁₃	—	2	1	no	—
396	C₂³×C₁₃	—	2	1	no	—
397	C₂³×C₁₃	—	2	1	no	—
398	C₂³×C₁₃	—	2	2	no	—
399	C₂³×C₁₃	—	2	2	no	—
400	C₂³×C₁₃	—	2	1	no	—
401	C₂³×C₁₃	—	2	1	no	—
402	C₂³×C₁₃	—	2	1	no	—
403	C₂³×C₁₃	—	2	2	no	—
404	C₂³×C₁₃	—	2	1	no	—
405	C₂³×C₁₃	—	2	1	no	—
406	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
407	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
408	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
409	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
410	Q₈×C₁₃	—	4	8	no	—
411	D₄×C₁₃	—	2	8	no	—
412	D₄×C₁₃	—	4	4	no	—
413	D₄×C₁₃	—	4	8	no	—
414	D₄×C₁₃	—	4	8	no	—
415	C₂×C₄×C₁₃	—	2	1	no	—
416	C₂×C₄×C₁₃	—	2	1	no	—
417	C₂×C₄×C₁₃	—	2	1	no	—
418	C₂×C₄×C₁₃	—	2	1	no	—
419	C₂×C₄×C₁₃	—	2	1	no	—
420	C₂×C₄×C₁₃	—	2	2	no	—
421	C₂×C₄×C₁₃	—	2	2	no	—
422	C₂×C₄×C₁₃	—	2	2	no	—
423	C₂×C₄×C₁₃	—	2	1	no	—
424	C₂×C₄×C₁₃	—	2	1	no	—
425	C₂×C₄×C₁₃	—	2	2	no	—
426	C₂×C₄×C₁₃	—	2	2	no	—
427	C₂×C₄×C₁₃	—	2	1	no	—
428	C₂×C₄×C₁₃	—	2	1	no	—
429	C₂×C₄×C₁₃	—	2	1	no	—
430	C₂×C₄×C₁₃	—	2	2	no	—
431	C₂×C₄×C₁₃	—	2	2	no	—
432	C₂×C₄×C₁₃	—	2	2	no	—
433	C₂×C₄×C₁₃	—	2	1	no	—
434	C₂×C₄×C₁₃	—	2	1	no	—
435	C₂×C₄×C₁₃	—	2	1	no	—
436	C₂×C₄×C₁₃	—	2	1	no	—
437	C₂×C₄×C₁₃	—	2	8	no	—
438	C₂×C₄×C₁₃	—	2	8	no	—
439	C₂×C₄×C₁₃	—	2	1	no	—
440	C₂×C₄×C₁₃	—	2	1	no	—
441	C₂×C₄×C₁₃	—	2	1	no	—
442	C₂×C₄×C₁₃	—	2	1	no	—
443	C₂×C₄×C₁₃	—	2	2	no	—
444	C₂×C₄×C₁₃	—	2	1	no	—
445	C₂×C₄×C₁₃	—	2	2	no	—
446	C₂×C₄×C₁₃	—	2	2	no	—
447	C₂×C₄×C₁₃	—	2	1	no	—
448	C₂×C₄×C₁₃	—	2	2	no	—
449	C₂×C₄×C₁₃	—	2	2	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	2	no	—
454	C₂×C₄×C₁₃	—	2	2	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	2	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	1	no	—
461	C₂×C₄×C₁₃	—	2	1	no	—
462	C₂×C₄×C₁₃	—	2	1	no	—
463	C₂×C₄×C₁₃	—	4	8	no	—
464	C₂×C₄×C₁₃	—	4	4	no	—
465	C₂×C₄×C₁₃	—	4	4	no	—
466	C₂×C₄×C₁₃	—	8	4	no	—
467	C₂×C₄×C₁₃	—	8	4	no	—
468	C₂×C₄×C₁₃	—	8	4	no	—
469	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
470	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
471	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
472	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
473	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
474	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
475	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
476	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
477	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
478	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
479	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
480	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
481	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
482	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
483	#555	C₄×C₁₃	1	16	yes	complemented
484	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
485	C₂×#124	C₂²×C₁₃	1	2	yes	—
486	C₂×#124	C₂²×C₁₃	1	2	yes	—
487	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
488	C₂×#121	C₂²×C₁₃	1	2	yes	—
489	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
490	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
491	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
492	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
493	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
494	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
495	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
496	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
497	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
498	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
499	C₂×#117	C₂²×C₁₃	1	2	yes	—
500	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
501	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
502	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
503	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
504	#391	C₂²×C₁₃	1	2	yes	—
505	#391	C₂²×C₁₃	1	2	yes	—
506	#391	C₂²×C₁₃	1	2	yes	—
507	#390	C₂²×C₁₃	1	2	yes	—
508	#390	C₂²×C₁₃	1	1	yes	characteristic
509	#390	C₂²×C₁₃	1	2	yes	—
510	#390	C₂²×C₁₃	1	1	yes	characteristic
511	#389	C₂²×C₁₃	1	1	yes	characteristic
512	#389	C₂²×C₁₃	1	1	yes	characteristic
513	#389	C₂²×C₁₃	1	1	yes	characteristic
514	#389	C₂²×C₁₃	1	1	yes	characteristic
515	#388	C₂²×C₁₃	1	2	yes	—
516	#388	C₂²×C₁₃	1	2	yes	—
517	#388	C₂²×C₁₃	1	2	yes	—
518	#388	C₂²×C₁₃	1	2	yes	—
519	#388	C₂²×C₁₃	1	2	yes	—
520	#388	C₂²×C₁₃	1	2	yes	—
521	#388	C₂²×C₁₃	1	2	yes	—
522	#388	C₂²×C₁₃	1	2	yes	—
523	#388	C₂²×C₁₃	1	2	yes	—
524	#388	C₂²×C₁₃	1	2	yes	—
525	#388	C₂²×C₁₃	1	1	yes	characteristic
526	#388	C₂²×C₁₃	1	1	yes	characteristic
527	#388	C₂²×C₁₃	1	2	yes	—
528	#387	C₂²×C₁₃	1	2	yes	—
529	#387	C₂²×C₁₃	1	2	yes	—
530	#387	C₂²×C₁₃	1	2	yes	—
531	#387	C₂²×C₁₃	1	1	yes	characteristic
532	#387	C₂²×C₁₃	1	2	yes	—
533	#387	C₂²×C₁₃	1	2	yes	—
534	#387	C₂²×C₁₃	1	1	yes	characteristic
535	#386	C₂²×C₁₃	1	2	yes	—
536	#386	C₂²×C₁₃	1	1	yes	characteristic
537	#386	C₂²×C₁₃	1	2	yes	—
538	#386	C₂²×C₁₃	1	2	yes	—
539	#386	C₂²×C₁₃	1	2	yes	—
540	#386	C₂²×C₁₃	1	2	yes	—
541	#386	C₂²×C₁₃	1	1	yes	characteristic
542	#385	C₂²×C₁₃	1	2	yes	—
543	#385	C₂²×C₁₃	1	1	yes	characteristic
544	#385	C₂²×C₁₃	1	2	yes	—
545	#385	C₂²×C₁₃	1	1	yes	characteristic
546	#383	C₂²×C₁₃	1	2	yes	—
547	#382	C₂²×C₁₃	1	1	yes	characteristic
548	#382	C₂²×C₁₃	1	2	yes	—
549	#381	C₂²×C₁₃	1	2	yes	—
550	#380	C₂²×C₁₃	1	1	yes	characteristic
551	#380	C₂²×C₁₃	1	1	yes	characteristic
552	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
553	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
554	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
555	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
556	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
557	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
558	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
559	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
560	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
561	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
562	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
563	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
564	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
565	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
566	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
567	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
568	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
569	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
570	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
571	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
572	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
573	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
574	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
575	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
576	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
577	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
578	#376	C₂²×C₁₃	1	1	yes	characteristic
579	#376	C₂²×C₁₃	1	2	yes	—
580	#376	C₂²×C₁₃	1	2	yes	—
581	C₂×#95	C₂²×C₁₃	1	2	yes	—
582	C₄³	C₂²×C₁₃	1	2	yes	—
583	C₂²×C₁₃	—	2	2	no	—
584	C₂²×C₁₃	—	2	2	no	—
585	C₂²×C₁₃	—	2	4	no	—
586	C₂²×C₁₃	—	2	4	no	—
587	C₂²×C₁₃	—	2	2	no	—
588	C₂²×C₁₃	—	2	2	no	—
589	C₂²×C₁₃	—	2	2	no	—
590	C₂²×C₁₃	—	2	4	no	—
591	C₂²×C₁₃	—	2	2	no	—
592	C₂²×C₁₃	—	4	1	no	—
593	C₂²×C₁₃	—	4	1	no	—
594	C₂²×C₁₃	—	4	2	no	—
595	C₂²×C₁₃	—	4	1	no	—
596	C₂²×C₁₃	—	4	2	no	—
597	C₂²×C₁₃	—	4	1	no	—
598	C₂²×C₁₃	—	4	1	no	—
599	C₂²×C₁₃	—	4	2	no	—
600	C₂²×C₁₃	—	4	1	no	—
601	C₂²×C₁₃	—	4	1	no	—
602	C₂²×C₁₃	—	4	2	no	—
603	C₂²×C₁₃	—	4	1	no	—
604	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
605	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
606	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
607	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
608	C₂²×C₁₃	#585	1	1	yes	characteristic
609	C₂²×C₁₃	#585	1	1	yes	characteristic
610	C₂²×C₁₃	#585	1	1	yes	characteristic
611	C₄×C₁₃	—	2	2	no	—
612	C₄×C₁₃	—	2	2	no	—
613	C₄×C₁₃	—	2	2	no	—
614	C₄×C₁₃	—	2	4	no	—
615	C₄×C₁₃	—	2	4	no	—
616	C₄×C₁₃	—	2	4	no	—
617	C₄×C₁₃	—	2	2	no	—
618	C₄×C₁₃	—	2	2	no	—
619	C₄×C₁₃	—	2	2	no	—
620	C₄×C₁₃	—	2	2	no	—
621	C₄×C₁₃	—	2	4	no	—
622	C₄×C₁₃	—	4	1	no	—
623	C₄×C₁₃	—	4	1	no	—
624	C₄×C₁₃	—	4	1	no	—
625	C₄×C₁₃	—	4	2	no	—
626	C₄×C₁₃	—	4	2	no	—
627	C₄×C₁₃	—	4	1	no	—
628	C₄×C₁₃	—	4	1	no	—
629	C₄×C₁₃	—	4	2	no	—
630	C₄×C₁₃	C₄×#41	1	4	yes	—
631	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
632	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
633	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
634	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
635	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
636	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
637	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
638	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
639	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
640	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
641	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
642	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
643	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
644	C₄⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
645	#124	C₂×C₄×C₁₃	1	16	yes	complemented
646	#124	C₂×C₄×C₁₃	1	16	yes	complemented
647	#121	C₂×C₄×C₁₃	1	8	yes	complemented
648	#121	C₂×C₄×C₁₃	1	8	yes	complemented
649	#121	C₂×C₄×C₁₃	1	16	yes	complemented
650	C₄×Q₈	—	4	4	no	—
651	C₄×D₄	—	2	4	no	—
652	C₄×D₄	—	2	4	no	—
653	C₄×D₄	—	4	4	no	—
654	C₄×D₄	—	4	4	no	—
655	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
656	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
657	#117	—	2	4	no	—
658	#117	—	2	4	no	—
659	#117	C₂×C₄×C₁₃	1	8	yes	complemented
660	#117	C₂×C₄×C₁₃	1	8	yes	complemented
661	#117	C₂×C₄×C₁₃	1	16	yes	complemented
662	C₂×C₄⋊C₄	—	2	4	no	—
663	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
666	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
667	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
668	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
669	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
673	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
674	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
675	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
676	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
677	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
680	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
682	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
684	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
692	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
701	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×C₄²	—	2	4	no	—
704	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
705	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
707	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
712	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
713	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
714	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
715	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
716	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
717	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
718	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
719	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
720	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
721	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
722	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
723	#95	C₂³×C₁₃	1	1	yes	characteristic
724	#95	C₂³×C₁₃	1	2	yes	—
725	#95	C₂³×C₁₃	1	2	yes	—
726	#95	C₂³×C₁₃	1	2	yes	—
727	#95	C₂³×C₁₃	1	1	yes	characteristic
728	#95	C₂³×C₁₃	1	2	yes	—
729	#95	C₂³×C₁₃	1	1	yes	characteristic
730	#95	C₂³×C₁₃	1	1	yes	characteristic
731	#95	C₂³×C₁₃	1	1	yes	characteristic
732	#95	C₂³×C₁₃	1	2	yes	—
733	#95	C₂³×C₁₃	1	2	yes	—
734	#95	C₂³×C₁₃	1	2	yes	—
735	#95	C₂³×C₁₃	1	2	yes	—
736	#95	C₂³×C₁₃	1	2	yes	—
737	#95	C₂³×C₁₃	1	1	yes	characteristic
738	#95	C₂³×C₁₃	1	1	yes	characteristic
739	#95	C₂³×C₁₃	1	2	yes	—
740	#95	C₂³×C₁₃	1	1	yes	characteristic
741	#95	C₂³×C₁₃	1	2	yes	—
742	#95	C₂³×C₁₃	1	2	yes	—
743	#95	C₂³×C₁₃	1	2	yes	—
744	#95	C₂³×C₁₃	1	2	yes	—
745	#95	C₂³×C₁₃	1	1	yes	characteristic
746	#95	C₂³×C₁₃	1	2	yes	—
747	#95	C₂³×C₁₃	1	2	yes	—
748	#95	C₂³×C₁₃	1	2	yes	—
749	#95	C₂³×C₁₃	1	1	yes	characteristic
750	C₂×C₁₃	—	4	2	no	—
751	C₂×C₁₃	—	4	2	no	—
752	C₂×C₁₃	—	4	4	no	—
753	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
754	C₂×C₁₃	#3428	1	1	yes	characteristic
755	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
756	C₂×C₁₃	#3493	1	1	yes	characteristic
757	C₂×C₁₃	#3494	1	1	yes	characteristic
758	C₂×C₁₃	#3514	1	1	yes	characteristic
759	C₂×C₁₃	#3524	1	1	yes	characteristic
760	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
761	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
762	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
763	C₂×Q₈	—	4	2	no	—
764	C₂×Q₈	—	4	2	no	—
765	C₂×Q₈	C₂²×C₄×C₁₃	1	8	yes	—
766	C₂×D₄	—	2	2	no	—
767	C₂×D₄	—	2	2	no	—
768	C₂×D₄	—	4	2	no	—
769	C₂×D₄	—	4	2	no	—
770	C₂×D₄	—	4	2	no	—
771	C₂×D₄	—	4	2	no	—
772	C₂×D₄	—	4	1	no	—
773	C₂×D₄	—	4	1	no	—
774	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
775	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
776	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
777	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
778	C₂²×C₄	—	2	2	no	—
779	C₂²×C₄	—	2	2	no	—
780	C₂²×C₄	—	2	2	no	—
781	C₂²×C₄	—	2	2	no	—
782	C₂²×C₄	—	2	2	no	—
783	C₂²×C₄	—	2	2	no	—
784	C₂²×C₄	—	2	2	no	—
785	C₂²×C₄	—	2	4	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	4	1	no	—
789	C₂²×C₄	—	4	2	no	—
790	C₂²×C₄	—	4	2	no	—
791	C₂²×C₄	—	4	1	no	—
792	C₂²×C₄	—	4	1	no	—
793	C₂²×C₄	—	4	2	no	—
794	C₂²×C₄	—	4	2	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	2	no	—
799	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
800	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
801	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
802	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
803	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
805	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
806	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
807	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
808	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
809	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
811	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
812	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
814	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
815	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
816	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
817	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
818	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
820	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
821	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
822	C₄⋊C₄	—	2	4	no	—
823	C₄⋊C₄	—	2	2	no	—
824	C₄⋊C₄	—	2	2	no	—
825	C₄⋊C₄	—	2	2	no	—
826	C₄⋊C₄	—	2	2	no	—
827	C₄⋊C₄	—	2	2	no	—
828	C₄⋊C₄	—	2	4	no	—
829	C₄⋊C₄	—	2	2	no	—
830	C₄⋊C₄	—	4	2	no	—
831	C₄⋊C₄	—	4	2	no	—
832	C₄⋊C₄	—	4	2	no	—
833	C₄⋊C₄	—	4	1	no	—
834	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
835	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
836	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
837	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
838	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
839	C₄⋊C₄	C₁₃×#41	1	4	yes	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	4	no	—
843	C₂²⋊C₄	—	2	4	no	—
844	C₂²⋊C₄	—	2	4	no	—
845	C₂²⋊C₄	—	2	4	no	—
846	C₂²⋊C₄	—	2	2	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	1	no	—
849	C₂²⋊C₄	—	4	1	no	—
850	C₂²⋊C₄	—	4	2	no	—
851	C₂²⋊C₄	—	4	2	no	—
852	C₂²⋊C₄	—	4	2	no	—
853	C₂²⋊C₄	—	4	2	no	—
854	C₂²⋊C₄	—	4	1	no	—
855	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
856	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
857	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
858	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
859	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
860	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
861	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
862	C₄²	—	2	2	no	—
863	C₄²	—	2	2	no	—
864	C₄²	—	2	2	no	—
865	C₄²	—	2	4	no	—
866	C₄²	—	2	2	no	—
867	C₄²	—	2	2	no	—
868	C₄²	—	2	4	no	—
869	C₄²	—	4	2	no	—
870	C₄²	—	4	2	no	—
871	C₄²	—	4	2	no	—
872	C₄²	—	4	2	no	—
873	C₄²	—	4	2	no	—
874	C₄²	—	4	2	no	—
875	C₄²	—	4	2	no	—
876	C₄²	—	4	2	no	—
877	C₄²	C₂²×C₄×C₁₃	1	8	yes	—
878	C₄²	C₂²×C₄×C₁₃	1	8	yes	—
879	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
880	C₄²	C₁₃×#41	1	4	yes	—
881	C₁₃	#34306	1	1	yes	characteristic, direct product factor, Sylow
882	C₂³	—	2	1	no	—
883	C₂³	—	2	1	no	—
884	C₂³	—	2	2	no	—
885	C₂³	—	2	2	no	—
886	C₂³	—	2	1	no	—
887	C₂³	—	2	1	no	—
888	C₂³	—	2	2	no	—
889	C₂³	—	2	1	no	—
890	C₂³	—	2	1	no	—
891	C₂³	—	2	1	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	1	no	—
895	C₂³	—	2	1	no	—
896	C₂³	—	2	2	no	—
897	C₂³	—	2	1	no	—
898	C₂³	—	2	1	no	—
899	C₂³	—	2	1	no	—
900	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
901	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
902	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
903	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
904	Q₈	—	4	8	no	—
905	D₄	—	2	8	no	—
906	D₄	—	4	4	no	—
907	D₄	—	4	8	no	—
908	D₄	—	4	8	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	2	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	8	no	—
932	C₂×C₄	—	2	8	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	1	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	1	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	1	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	1	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	4	8	no	—
958	C₂×C₄	—	4	4	no	—
959	C₂×C₄	—	4	4	no	—
960	C₂×C₄	—	8	4	no	—
961	C₂×C₄	—	8	4	no	—
962	C₂×C₄	—	8	4	no	—
963	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
964	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
965	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
966	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
967	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
968	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
969	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
970	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
971	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
972	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
973	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
974	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
975	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
976	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	2	no	—
979	C₂²	—	2	4	no	—
980	C₂²	—	2	4	no	—
981	C₂²	—	2	2	no	—
982	C₂²	—	2	2	no	—
983	C₂²	—	2	2	no	—
984	C₂²	—	2	4	no	—
985	C₂²	—	2	2	no	—
986	C₂²	—	4	1	no	—
987	C₂²	—	4	2	no	—
988	C₂²	—	4	1	no	—
989	C₂²	—	4	1	no	—
990	C₂²	—	4	1	no	—
991	C₂²	—	4	2	no	—
992	C₂²	—	4	1	no	—
993	C₂²	—	4	2	no	—
994	C₂²	—	4	1	no	—
995	C₂²	—	4	1	no	—
996	C₂²	—	4	2	no	—
997	C₂²	—	4	1	no	—
998	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
999	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1000	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1001	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₂²	C₁₃×#585	1	1	yes	characteristic
1003	C₂²	C₁₃×#585	1	1	yes	characteristic
1004	C₂²	C₁₃×#585	1	1	yes	characteristic
1005	C₄	—	2	2	no	—
1006	C₄	—	2	2	no	—
1007	C₄	—	2	2	no	—
1008	C₄	—	2	4	no	—
1009	C₄	—	2	4	no	—
1010	C₄	—	2	4	no	—
1011	C₄	—	2	2	no	—
1012	C₄	—	2	2	no	—
1013	C₄	—	2	2	no	—
1014	C₄	—	2	2	no	—
1015	C₄	—	2	4	no	—
1016	C₄	—	4	1	no	—
1017	C₄	—	4	2	no	—
1018	C₄	—	4	1	no	—
1019	C₄	—	4	1	no	—
1020	C₄	—	4	1	no	—
1021	C₄	—	4	2	no	—
1022	C₄	—	4	2	no	—
1023	C₄	—	4	1	no	—
1024	C₄	C₄×C₁₃×#41	1	4	yes	—
1025	C₂	—	4	2	no	—
1026	C₂	—	4	2	no	—
1027	C₂	—	4	4	no	—
1028	C₂	C₂×C₄×C₁₃×#41	1	1	yes	characteristic
1029	C₂	C₁₃×#3428	1	1	yes	characteristic
1030	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1031	C₂	C₁₃×#3493	1	1	yes	characteristic
1032	C₂	C₁₃×#3494	1	1	yes	characteristic
1033	C₂	C₁₃×#3514	1	1	yes	characteristic
1034	C₂	C₁₃×#3524	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#555	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2372	C₂	semidirect
3. C₁₃×#2367	C₂	semidirect
4. C₁₃×#2365	C₂	semidirect
5. C₁₃×#2364	C₂	semidirect
6. C₁₃×#2363	C₂	semidirect
7. C₁₃×#2361	C₂	semidirect
8. C₁₃×#2357	C₂	semidirect
9. C₁₃×#2352	C₂	semidirect
10. C₁₃×#2347	C₂	semidirect
11. C₁₃×#2346	C₂	semidirect
12. C₁₃×#2343	C₂	semidirect
13. C₁₃×#2337	C₂	semidirect
14. C₁₃×#2333	C₂	semidirect
15. C₁₃×#2331	C₂	semidirect
16. C₁₃×#2324	C₂	semidirect
17. C₄×C₁₃×#124	C₂	semidirect
18. C₄×C₁₃×#121	C₂	semidirect
19. C₁₃×#2298	C₂	semidirect
20. C₁₃×#2290	C₂	semidirect
21. C₁₃×#2275	C₂	semidirect
22. C₁₃×#2274	C₂	semidirect
23. C₄×C₁₃×#117	C₂	semidirect
24. C₁₃×#555	C₄	semidirect
137. C₁₃×C₄⋊Q₈	C₂×C₄	semidirect
138. C₁₃×#124	C₂×C₄	semidirect
139. C₁₃×#124	C₂×C₄	semidirect
140. C₁₃×#121	C₂×C₄	semidirect
141. C₁₃×#121	C₂×C₄	semidirect
142. C₁₃×#121	C₂×C₄	semidirect
148. C₄×D₄×C₁₃	C₂×C₄	semidirect
149. C₄×D₄×C₁₃	C₂×C₄	semidirect
152. C₁₃×#117	C₂×C₄	semidirect
153. C₁₃×#117	C₂×C₄	semidirect
154. C₁₃×#117	C₂×C₄	semidirect
243. #34306	C₁₃	direct (N × H)
366. #2372	C₂×C₁₃	semidirect
367. #2367	C₂×C₁₃	semidirect
368. #2365	C₂×C₁₃	semidirect
369. #2364	C₂×C₁₃	semidirect
370. #2363	C₂×C₁₃	semidirect
371. #2361	C₂×C₁₃	semidirect
372. #2357	C₂×C₁₃	semidirect
373. #2352	C₂×C₁₃	semidirect
374. #2347	C₂×C₁₃	semidirect
375. #2346	C₂×C₁₃	semidirect
376. #2343	C₂×C₁₃	semidirect
377. #2337	C₂×C₁₃	semidirect
378. #2333	C₂×C₁₃	semidirect
379. #2331	C₂×C₁₃	semidirect
380. #2324	C₂×C₁₃	semidirect
381. C₄×#124	C₂×C₁₃	semidirect
382. C₄×#121	C₂×C₁₃	semidirect
383. #2298	C₂×C₁₃	semidirect
384. #2290	C₂×C₁₃	semidirect
385. #2275	C₂×C₁₃	semidirect
386. #2274	C₂×C₁₃	semidirect
387. C₄×#117	C₂×C₁₃	semidirect
483. #555	C₄×C₁₃	semidirect
644. C₄⋊Q₈	C₂×C₄×C₁₃	semidirect
645. #124	C₂×C₄×C₁₃	semidirect
646. #124	C₂×C₄×C₁₃	semidirect
647. #121	C₂×C₄×C₁₃	semidirect
648. #121	C₂×C₄×C₁₃	semidirect
649. #121	C₂×C₄×C₁₃	semidirect
655. C₄×D₄	C₂×C₄×C₁₃	semidirect
656. C₄×D₄	C₂×C₄×C₁₃	semidirect
659. #117	C₂×C₄×C₁₃	semidirect
660. #117	C₂×C₄×C₁₃	semidirect
661. #117	C₂×C₄×C₁₃	semidirect
881. C₁₃	#34306	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×#555	2
C₁₃×#2372	2
C₁₃×#2367	2
C₁₃×#2365	2
C₁₃×#2364	2
C₁₃×#2363	2
C₁₃×#2361	2
C₁₃×#2357	2
C₁₃×#2352	2
C₁₃×#2347	2
C₁₃×#2346	2
C₁₃×#2343	2
C₁₃×#2337	2
C₁₃×#2333	2
C₁₃×#2331	2
C₁₃×#2324	2
C₄×C₁₃×#124	2
C₄×C₁₃×#121	2
C₁₃×#2298	2
C₁₃×#2290	2
C₁₃×#2275	2
C₁₃×#2274	2
C₄×C₁₃×#117	2
#34306	13

Subgroups — C13×#34306 #15720645

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34306 #15720645