Subgroups — C₁₃×#34323 #15720662

Order 3328.

2472 conjugacy classes of subgroups.

The subgroup lattice has 1064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2373	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2370	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2361	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2359	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2352	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2349	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2346	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2345	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2335	C₂	1	2	yes	maximal, complemented
14	C₁₃×#2334	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2325	C₂	1	2	yes	maximal, complemented
16	C₄×C₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2296	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#389	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2275	C₂	1	2	yes	maximal, complemented
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#553	C₄	1	16	yes	complemented
25	C₂×C₁₃×#126	C₂²	1	2	yes	—
26	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#123	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×D₄×C₁₃	C₂²	1	1	yes	characteristic
32	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
35	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#117	C₂²	1	2	yes	—
42	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
44	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
46	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
48	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
49	C₁₃×#390	C₂²	1	1	yes	characteristic
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	2	yes	—
55	C₁₃×#389	C₂²	1	1	yes	characteristic
56	C₁₃×#389	C₂²	1	2	yes	—
57	C₁₃×#389	C₂²	1	1	yes	characteristic
58	C₁₃×#389	C₂²	1	1	yes	characteristic
59	C₁₃×#389	C₂²	1	1	yes	characteristic
60	C₁₃×#389	C₂²	1	1	yes	characteristic
61	C₁₃×#389	C₂²	1	1	yes	characteristic
62	C₁₃×#389	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×#388	C₂²	1	2	yes	—
70	C₁₃×#388	C₂²	1	2	yes	—
71	C₁₃×#388	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×#387	C₂²	1	2	yes	—
77	C₁₃×#387	C₂²	1	2	yes	—
78	C₁₃×#387	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×#386	C₂²	1	2	yes	—
84	C₁₃×#385	C₂²	1	2	yes	—
85	C₁₃×#385	C₂²	1	2	yes	—
86	C₁₃×#385	C₂²	1	2	yes	—
87	C₁₃×#385	C₂²	1	2	yes	—
88	C₁₃×#385	C₂²	1	2	yes	—
89	C₁₃×#382	C₂²	1	1	yes	characteristic
90	C₁₃×#382	C₂²	1	2	yes	—
91	C₁₃×#380	C₂²	1	1	yes	characteristic
92	C₁₃×#380	C₂²	1	1	yes	characteristic
93	C₁₃×#380	C₂²	1	2	yes	—
94	C₁₃×#380	C₂²	1	2	yes	—
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	1	yes	characteristic
98	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
99	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
100	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
101	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
102	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
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	1	yes	characteristic
106	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
108	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
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	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₁₃×#376	C₂²	1	2	yes	—
121	C₂×C₁₃×#95	C₂²	1	2	yes	—
122	C₂×C₁₃×#95	C₂²	1	2	yes	—
123	C₄³×C₁₃	C₂²	1	1	yes	characteristic
124	C₂²×D₄×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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₁₃×#126	C₂×C₄	1	16	yes	complemented
140	C₁₃×#125	C₂×C₄	1	8	yes	complemented
141	C₁₃×#123	C₂×C₄	1	16	yes	complemented
142	C₁₃×#121	C₂×C₄	1	16	yes	complemented
143	C₁₃×#121	C₂×C₄	1	8	yes	complemented
144	C₁₃×#121	C₂×C₄	1	8	yes	complemented
145	C₄×D₄×C₁₃	—	2	4	no	—
146	C₄×D₄×C₁₃	—	2	8	no	—
147	C₄×D₄×C₁₃	—	2	4	no	—
148	C₄×D₄×C₁₃	—	2	8	no	—
149	C₄×D₄×C₁₃	—	4	2	no	—
150	C₄×D₄×C₁₃	—	4	2	no	—
151	C₄×D₄×C₁₃	—	4	4	no	—
152	C₄×D₄×C₁₃	C₂×C₄	1	16	yes	complemented
153	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
154	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
155	C₁₃×#117	—	4	4	no	—
156	C₁₃×#117	—	4	2	no	—
157	C₁₃×#117	C₂×C₄	1	8	yes	complemented
158	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
159	C₂×C₁₃×C₄⋊C₄	—	4	4	no	—
160	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
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	1	yes	characteristic
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
168	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₃	—	4	2	no	—
203	C₂×C₄²×C₁₃	—	4	2	no	—
204	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
217	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
218	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
219	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₁₃×#95	C₂³	1	1	yes	characteristic
225	C₁₃×#95	C₂³	1	1	yes	characteristic
226	C₁₃×#95	C₂³	1	1	yes	characteristic
227	C₁₃×#95	C₂³	1	1	yes	characteristic
228	C₁₃×#95	C₂³	1	1	yes	characteristic
229	C₁₃×#95	C₂³	1	1	yes	characteristic
230	C₁₃×#95	C₂³	1	2	yes	—
231	C₁₃×#95	C₂³	1	2	yes	—
232	C₁₃×#95	C₂³	1	2	yes	—
233	C₁₃×#95	C₂³	1	2	yes	—
234	C₁₃×#95	C₂³	1	2	yes	—
235	C₁₃×#95	C₂³	1	2	yes	—
236	C₁₃×#95	C₂³	1	2	yes	—
237	C₁₃×#95	C₂³	1	2	yes	—
238	C₁₃×#95	C₂³	1	2	yes	—
239	C₁₃×#95	C₂³	1	2	yes	—
240	C₁₃×#95	C₂³	1	2	yes	—
241	C₁₃×#95	C₂³	1	2	yes	—
242	C₁₃×#95	C₂³	1	2	yes	—
243	C₁₃×#95	C₂³	1	2	yes	—
244	C₁₃×#95	C₂³	1	2	yes	—
245	C₁₃×#95	C₂³	1	2	yes	—
246	C₁₃×#95	C₂³	1	2	yes	—
247	#34323	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
248	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
249	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
250	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
251	C₂×D₄×C₁₃	—	2	2	no	—
252	C₂×D₄×C₁₃	—	2	4	no	—
253	C₂×D₄×C₁₃	—	2	2	no	—
254	C₂×D₄×C₁₃	—	2	4	no	—
255	C₂×D₄×C₁₃	—	2	2	no	—
256	C₂×D₄×C₁₃	—	2	2	no	—
257	C₂×D₄×C₁₃	—	4	2	no	—
258	C₂×D₄×C₁₃	—	4	2	no	—
259	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
260	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
261	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
262	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
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	4	no	—
269	C₂²×C₄×C₁₃	—	2	2	no	—
270	C₂²×C₄×C₁₃	—	2	2	no	—
271	C₂²×C₄×C₁₃	—	2	2	no	—
272	C₂²×C₄×C₁₃	—	2	2	no	—
273	C₂²×C₄×C₁₃	—	2	4	no	—
274	C₂²×C₄×C₁₃	—	2	4	no	—
275	C₂²×C₄×C₁₃	—	4	1	no	—
276	C₂²×C₄×C₁₃	—	4	1	no	—
277	C₂²×C₄×C₁₃	—	4	1	no	—
278	C₂²×C₄×C₁₃	—	4	1	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	1	no	—
283	C₂²×C₄×C₁₃	—	4	1	no	—
284	C₂²×C₄×C₁₃	—	4	2	no	—
285	C₂²×C₄×C₁₃	—	4	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	C₂²×C₄	1	4	yes	—
292	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
293	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
294	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
295	C₂²×C₄×C₁₃	#41	1	4	yes	—
296	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
306	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
313	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₁₃×C₄⋊C₄	—	2	2	no	—
317	C₁₃×C₄⋊C₄	—	2	4	no	—
318	C₁₃×C₄⋊C₄	—	2	2	no	—
319	C₁₃×C₄⋊C₄	—	2	4	no	—
320	C₁₃×C₄⋊C₄	—	2	4	no	—
321	C₁₃×C₄⋊C₄	—	2	2	no	—
322	C₁₃×C₄⋊C₄	—	2	4	no	—
323	C₁₃×C₄⋊C₄	—	2	2	no	—
324	C₁₃×C₄⋊C₄	—	2	2	no	—
325	C₁₃×C₄⋊C₄	—	2	2	no	—
326	C₁₃×C₄⋊C₄	—	4	2	no	—
327	C₁₃×C₄⋊C₄	—	4	2	no	—
328	C₁₃×C₄⋊C₄	—	4	2	no	—
329	C₁₃×C₄⋊C₄	—	4	2	no	—
330	C₁₃×C₄⋊C₄	—	4	2	no	—
331	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
332	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
333	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
334	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
335	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
336	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
337	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
338	C₁₃×C₂²⋊C₄	—	2	2	no	—
339	C₁₃×C₂²⋊C₄	—	2	4	no	—
340	C₁₃×C₂²⋊C₄	—	2	2	no	—
341	C₁₃×C₂²⋊C₄	—	2	4	no	—
342	C₁₃×C₂²⋊C₄	—	2	2	no	—
343	C₁₃×C₂²⋊C₄	—	2	4	no	—
344	C₁₃×C₂²⋊C₄	—	2	4	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	C₂²×C₄	1	8	yes	—
351	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
352	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
353	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
354	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
355	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
356	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
357	C₄²×C₁₃	—	2	2	no	—
358	C₄²×C₁₃	—	2	4	no	—
359	C₄²×C₁₃	—	2	2	no	—
360	C₄²×C₁₃	—	2	4	no	—
361	C₄²×C₁₃	—	2	2	no	—
362	C₄²×C₁₃	—	2	2	no	—
363	C₄²×C₁₃	—	2	2	no	—
364	C₄²×C₁₃	—	2	2	no	—
365	C₄²×C₁₃	—	2	2	no	—
366	C₄²×C₁₃	—	4	1	no	—
367	C₄²×C₁₃	—	4	1	no	—
368	C₄²×C₁₃	—	4	1	no	—
369	C₄²×C₁₃	—	4	1	no	—
370	C₄²×C₁₃	—	4	1	no	—
371	C₄²×C₁₃	—	4	2	no	—
372	C₄²×C₁₃	—	4	2	no	—
373	C₄²×C₁₃	—	4	2	no	—
374	C₄²×C₁₃	—	4	2	no	—
375	C₄²×C₁₃	C₂²×C₄	1	8	yes	—
376	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
377	C₂×#553	C₂×C₁₃	1	1	yes	characteristic
378	#2373	C₂×C₁₃	1	2	yes	complemented
379	#2370	C₂×C₁₃	1	1	yes	characteristic, complemented
380	#2363	C₂×C₁₃	1	1	yes	characteristic, complemented
381	#2361	C₂×C₁₃	1	2	yes	complemented
382	#2361	C₂×C₁₃	1	1	yes	characteristic, complemented
383	#2359	C₂×C₁₃	1	2	yes	complemented
384	#2352	C₂×C₁₃	1	2	yes	complemented
385	#2352	C₂×C₁₃	1	1	yes	characteristic, complemented
386	#2349	C₂×C₁₃	1	1	yes	characteristic, complemented
387	#2346	C₂×C₁₃	1	1	yes	characteristic, complemented
388	#2345	C₂×C₁₃	1	1	yes	characteristic, complemented
389	#2335	C₂×C₁₃	1	2	yes	complemented
390	#2334	C₂×C₁₃	1	2	yes	complemented
391	#2325	C₂×C₁₃	1	2	yes	complemented
392	C₄×#125	C₂×C₁₃	1	1	yes	characteristic, complemented
393	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
394	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
395	#2296	C₂×C₁₃	1	1	yes	characteristic, complemented
396	#2293	C₂×C₁₃	1	1	yes	characteristic, complemented
397	C₂×#389	C₂×C₁₃	1	1	yes	characteristic, complemented
398	#2275	C₂×C₁₃	1	2	yes	complemented
399	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
400	C₂³×C₁₃	—	2	1	no	—
401	C₂³×C₁₃	—	2	1	no	—
402	C₂³×C₁₃	—	2	1	no	—
403	C₂³×C₁₃	—	2	1	no	—
404	C₂³×C₁₃	—	2	1	no	—
405	C₂³×C₁₃	—	2	2	no	—
406	C₂³×C₁₃	—	2	1	no	—
407	C₂³×C₁₃	—	2	2	no	—
408	C₂³×C₁₃	—	2	2	no	—
409	C₂³×C₁₃	—	2	1	no	—
410	C₂³×C₁₃	—	2	1	no	—
411	C₂³×C₁₃	—	2	2	no	—
412	C₂³×C₁₃	—	2	1	no	—
413	C₂³×C₁₃	—	2	2	no	—
414	C₂³×C₁₃	—	2	2	no	—
415	C₂³×C₁₃	—	2	1	no	—
416	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
417	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
418	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
419	C₂³×C₁₃	C₂×#41	1	2	yes	—
420	C₂³×C₁₃	C₂×#41	1	2	yes	—
421	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
422	D₄×C₁₃	—	2	16	no	—
423	D₄×C₁₃	—	2	8	no	—
424	D₄×C₁₃	—	2	8	no	—
425	D₄×C₁₃	—	4	8	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	2	no	—
430	C₂×C₄×C₁₃	—	2	1	no	—
431	C₂×C₄×C₁₃	—	2	1	no	—
432	C₂×C₄×C₁₃	—	2	1	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	1	no	—
438	C₂×C₄×C₁₃	—	2	1	no	—
439	C₂×C₄×C₁₃	—	2	2	no	—
440	C₂×C₄×C₁₃	—	2	2	no	—
441	C₂×C₄×C₁₃	—	2	1	no	—
442	C₂×C₄×C₁₃	—	2	1	no	—
443	C₂×C₄×C₁₃	—	2	1	no	—
444	C₂×C₄×C₁₃	—	2	1	no	—
445	C₂×C₄×C₁₃	—	2	1	no	—
446	C₂×C₄×C₁₃	—	2	1	no	—
447	C₂×C₄×C₁₃	—	2	2	no	—
448	C₂×C₄×C₁₃	—	2	2	no	—
449	C₂×C₄×C₁₃	—	2	1	no	—
450	C₂×C₄×C₁₃	—	2	8	no	—
451	C₂×C₄×C₁₃	—	2	8	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	1	no	—
456	C₂×C₄×C₁₃	—	2	2	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	2	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	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	1	no	—
469	C₂×C₄×C₁₃	—	2	1	no	—
470	C₂×C₄×C₁₃	—	2	2	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	1	no	—
473	C₂×C₄×C₁₃	—	4	8	no	—
474	C₂×C₄×C₁₃	—	4	8	no	—
475	C₂×C₄×C₁₃	—	4	4	no	—
476	C₂×C₄×C₁₃	—	4	4	no	—
477	C₂×C₄×C₁₃	—	4	4	no	—
478	C₂×C₄×C₁₃	—	4	4	no	—
479	C₂×C₄×C₁₃	—	8	4	no	—
480	C₂×C₄×C₁₃	—	8	4	no	—
481	C₂×C₄×C₁₃	—	8	4	no	—
482	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
483	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
484	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
485	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
486	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
487	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
488	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
489	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
490	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
491	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
492	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
493	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
494	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
495	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
496	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
497	#553	C₄×C₁₃	1	16	yes	complemented
498	C₂×#126	C₂²×C₁₃	1	2	yes	—
499	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
500	C₂×#123	C₂²×C₁₃	1	2	yes	—
501	C₂×#121	C₂²×C₁₃	1	2	yes	—
502	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
503	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
504	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
505	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
506	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
507	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
508	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
509	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
510	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
511	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
512	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
513	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
514	C₂×#117	C₂²×C₁₃	1	2	yes	—
515	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
516	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
517	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
518	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
519	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
520	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
521	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
522	#390	C₂²×C₁₃	1	2	yes	—
523	#390	C₂²×C₁₃	1	1	yes	characteristic
524	#390	C₂²×C₁₃	1	1	yes	characteristic
525	#389	C₂²×C₁₃	1	1	yes	characteristic
526	#389	C₂²×C₁₃	1	1	yes	characteristic
527	#389	C₂²×C₁₃	1	2	yes	—
528	#389	C₂²×C₁₃	1	2	yes	—
529	#389	C₂²×C₁₃	1	1	yes	characteristic
530	#389	C₂²×C₁₃	1	1	yes	characteristic
531	#389	C₂²×C₁₃	1	1	yes	characteristic
532	#389	C₂²×C₁₃	1	2	yes	—
533	#389	C₂²×C₁₃	1	1	yes	characteristic
534	#389	C₂²×C₁₃	1	1	yes	characteristic
535	#389	C₂²×C₁₃	1	1	yes	characteristic
536	#388	C₂²×C₁₃	1	2	yes	—
537	#388	C₂²×C₁₃	1	2	yes	—
538	#388	C₂²×C₁₃	1	2	yes	—
539	#388	C₂²×C₁₃	1	2	yes	—
540	#388	C₂²×C₁₃	1	2	yes	—
541	#388	C₂²×C₁₃	1	2	yes	—
542	#388	C₂²×C₁₃	1	2	yes	—
543	#388	C₂²×C₁₃	1	2	yes	—
544	#388	C₂²×C₁₃	1	2	yes	—
545	#387	C₂²×C₁₃	1	2	yes	—
546	#387	C₂²×C₁₃	1	2	yes	—
547	#387	C₂²×C₁₃	1	2	yes	—
548	#387	C₂²×C₁₃	1	2	yes	—
549	#387	C₂²×C₁₃	1	2	yes	—
550	#387	C₂²×C₁₃	1	2	yes	—
551	#387	C₂²×C₁₃	1	2	yes	—
552	#386	C₂²×C₁₃	1	2	yes	—
553	#386	C₂²×C₁₃	1	2	yes	—
554	#386	C₂²×C₁₃	1	2	yes	—
555	#386	C₂²×C₁₃	1	2	yes	—
556	#386	C₂²×C₁₃	1	2	yes	—
557	#385	C₂²×C₁₃	1	2	yes	—
558	#385	C₂²×C₁₃	1	2	yes	—
559	#385	C₂²×C₁₃	1	2	yes	—
560	#385	C₂²×C₁₃	1	2	yes	—
561	#385	C₂²×C₁₃	1	2	yes	—
562	#382	C₂²×C₁₃	1	1	yes	characteristic
563	#382	C₂²×C₁₃	1	2	yes	—
564	#380	C₂²×C₁₃	1	2	yes	—
565	#380	C₂²×C₁₃	1	2	yes	—
566	#380	C₂²×C₁₃	1	1	yes	characteristic
567	#380	C₂²×C₁₃	1	1	yes	characteristic
568	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
569	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
570	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
571	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
572	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
573	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
574	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
575	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
576	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
577	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
578	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
579	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
580	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
581	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
582	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
583	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
584	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
585	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
586	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
587	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
588	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
589	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
590	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
591	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
592	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
593	#376	C₂²×C₁₃	1	2	yes	—
594	C₂×#95	C₂²×C₁₃	1	2	yes	—
595	C₂×#95	C₂²×C₁₃	1	2	yes	—
596	C₄³	C₂²×C₁₃	1	1	yes	characteristic
597	C₂²×C₁₃	—	2	2	no	—
598	C₂²×C₁₃	—	2	2	no	—
599	C₂²×C₁₃	—	2	2	no	—
600	C₂²×C₁₃	—	2	2	no	—
601	C₂²×C₁₃	—	2	2	no	—
602	C₂²×C₁₃	—	2	2	no	—
603	C₂²×C₁₃	—	2	2	no	—
604	C₂²×C₁₃	—	2	4	no	—
605	C₂²×C₁₃	—	2	2	no	—
606	C₂²×C₁₃	—	2	4	no	—
607	C₂²×C₁₃	—	2	4	no	—
608	C₂²×C₁₃	—	2	2	no	—
609	C₂²×C₁₃	—	4	1	no	—
610	C₂²×C₁₃	—	4	2	no	—
611	C₂²×C₁₃	—	4	2	no	—
612	C₂²×C₁₃	—	4	1	no	—
613	C₂²×C₁₃	—	4	1	no	—
614	C₂²×C₁₃	—	4	2	no	—
615	C₂²×C₁₃	—	4	1	no	—
616	C₂²×C₁₃	—	4	2	no	—
617	C₂²×C₁₃	C₄×#41	1	4	yes	—
618	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
619	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
620	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
621	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
622	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
623	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
624	C₂²×C₁₃	#585	1	1	yes	characteristic
625	C₄×C₁₃	—	2	4	no	—
626	C₄×C₁₃	—	2	2	no	—
627	C₄×C₁₃	—	2	2	no	—
628	C₄×C₁₃	—	2	2	no	—
629	C₄×C₁₃	—	2	2	no	—
630	C₄×C₁₃	—	2	4	no	—
631	C₄×C₁₃	—	2	4	no	—
632	C₄×C₁₃	—	2	2	no	—
633	C₄×C₁₃	—	2	2	no	—
634	C₄×C₁₃	—	2	2	no	—
635	C₄×C₁₃	—	2	2	no	—
636	C₄×C₁₃	—	2	2	no	—
637	C₄×C₁₃	—	4	1	no	—
638	C₄×C₁₃	—	4	2	no	—
639	C₄×C₁₃	—	4	1	no	—
640	C₄×C₁₃	—	4	2	no	—
641	C₄×C₁₃	—	4	1	no	—
642	C₄×C₁₃	—	4	2	no	—
643	C₄×C₁₃	—	4	2	no	—
644	C₄×C₁₃	#520	1	4	yes	—
645	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
646	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
647	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
648	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
649	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
650	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
651	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
652	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
653	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
654	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
655	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
656	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
657	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
658	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
659	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
660	#126	C₂×C₄×C₁₃	1	16	yes	complemented
661	#125	C₂×C₄×C₁₃	1	8	yes	complemented
662	#123	C₂×C₄×C₁₃	1	16	yes	complemented
663	#121	C₂×C₄×C₁₃	1	16	yes	complemented
664	#121	C₂×C₄×C₁₃	1	8	yes	complemented
665	#121	C₂×C₄×C₁₃	1	8	yes	complemented
666	C₄×D₄	—	2	4	no	—
667	C₄×D₄	—	2	8	no	—
668	C₄×D₄	—	2	4	no	—
669	C₄×D₄	—	2	8	no	—
670	C₄×D₄	—	4	2	no	—
671	C₄×D₄	—	4	2	no	—
672	C₄×D₄	—	4	4	no	—
673	C₄×D₄	C₂×C₄×C₁₃	1	16	yes	complemented
674	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
675	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
676	#117	—	4	4	no	—
677	#117	—	4	2	no	—
678	#117	C₂×C₄×C₁₃	1	8	yes	complemented
679	C₂×C₄⋊C₄	—	4	2	no	—
680	C₂×C₄⋊C₄	—	4	4	no	—
681	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	8	yes	complemented
682	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
683	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
686	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
688	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
689	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
690	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
691	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
692	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
693	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
694	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
695	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
696	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
697	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
700	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×C₄⋊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	1	yes	characteristic
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	2	yes	—
713	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
714	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
715	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
716	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
717	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
721	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
723	C₂×C₄²	—	4	2	no	—
724	C₂×C₄²	—	4	2	no	—
725	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
726	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
727	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
728	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
729	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
730	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
732	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
734	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
735	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
736	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
737	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
738	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
739	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
740	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
741	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
742	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
743	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
744	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
745	#95	C₂³×C₁₃	1	2	yes	—
746	#95	C₂³×C₁₃	1	1	yes	characteristic
747	#95	C₂³×C₁₃	1	2	yes	—
748	#95	C₂³×C₁₃	1	2	yes	—
749	#95	C₂³×C₁₃	1	2	yes	—
750	#95	C₂³×C₁₃	1	2	yes	—
751	#95	C₂³×C₁₃	1	2	yes	—
752	#95	C₂³×C₁₃	1	1	yes	characteristic
753	#95	C₂³×C₁₃	1	2	yes	—
754	#95	C₂³×C₁₃	1	2	yes	—
755	#95	C₂³×C₁₃	1	1	yes	characteristic
756	#95	C₂³×C₁₃	1	1	yes	characteristic
757	#95	C₂³×C₁₃	1	1	yes	characteristic
758	#95	C₂³×C₁₃	1	1	yes	characteristic
759	#95	C₂³×C₁₃	1	2	yes	—
760	#95	C₂³×C₁₃	1	2	yes	—
761	#95	C₂³×C₁₃	1	2	yes	—
762	#95	C₂³×C₁₃	1	2	yes	—
763	#95	C₂³×C₁₃	1	2	yes	—
764	#95	C₂³×C₁₃	1	2	yes	—
765	#95	C₂³×C₁₃	1	2	yes	—
766	#95	C₂³×C₁₃	1	2	yes	—
767	#95	C₂³×C₁₃	1	2	yes	—
768	C₂×C₁₃	—	2	4	no	—
769	C₂×C₁₃	—	4	2	no	—
770	C₂×C₁₃	—	4	4	no	—
771	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
772	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
773	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
774	C₂×C₁₃	#3505	1	1	yes	characteristic
775	C₂×C₁₃	#3511	1	1	yes	characteristic
776	C₂×C₁₃	#3515	1	1	yes	characteristic
777	C₂×C₁₃	#3519	1	1	yes	characteristic
778	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
779	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
780	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
781	C₂×D₄	—	2	2	no	—
782	C₂×D₄	—	2	4	no	—
783	C₂×D₄	—	2	2	no	—
784	C₂×D₄	—	2	4	no	—
785	C₂×D₄	—	2	2	no	—
786	C₂×D₄	—	2	2	no	—
787	C₂×D₄	—	4	2	no	—
788	C₂×D₄	—	4	2	no	—
789	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
790	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
791	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
792	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	2	2	no	—
796	C₂²×C₄	—	2	2	no	—
797	C₂²×C₄	—	2	2	no	—
798	C₂²×C₄	—	2	4	no	—
799	C₂²×C₄	—	2	2	no	—
800	C₂²×C₄	—	2	2	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	2	2	no	—
803	C₂²×C₄	—	2	4	no	—
804	C₂²×C₄	—	2	4	no	—
805	C₂²×C₄	—	4	1	no	—
806	C₂²×C₄	—	4	1	no	—
807	C₂²×C₄	—	4	1	no	—
808	C₂²×C₄	—	4	1	no	—
809	C₂²×C₄	—	4	2	no	—
810	C₂²×C₄	—	4	2	no	—
811	C₂²×C₄	—	4	2	no	—
812	C₂²×C₄	—	4	1	no	—
813	C₂²×C₄	—	4	1	no	—
814	C₂²×C₄	—	4	2	no	—
815	C₂²×C₄	—	4	2	no	—
816	C₂²×C₄	—	4	2	no	—
817	C₂²×C₄	—	4	2	no	—
818	C₂²×C₄	—	4	2	no	—
819	C₂²×C₄	—	4	2	no	—
820	C₂²×C₄	—	4	2	no	—
821	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
822	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
823	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
824	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
825	C₂²×C₄	C₁₃×#41	1	4	yes	—
826	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
827	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
828	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
829	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
830	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
831	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
832	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
833	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
836	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
837	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
838	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
839	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
840	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
841	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
842	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
843	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
846	C₄⋊C₄	—	2	2	no	—
847	C₄⋊C₄	—	2	4	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	4	no	—
850	C₄⋊C₄	—	2	4	no	—
851	C₄⋊C₄	—	2	2	no	—
852	C₄⋊C₄	—	2	4	no	—
853	C₄⋊C₄	—	2	2	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	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	C₄⋊C₄	—	4	2	no	—
861	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
862	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
863	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
864	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
865	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
866	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
867	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
868	C₂²⋊C₄	—	2	2	no	—
869	C₂²⋊C₄	—	2	4	no	—
870	C₂²⋊C₄	—	2	2	no	—
871	C₂²⋊C₄	—	2	4	no	—
872	C₂²⋊C₄	—	2	2	no	—
873	C₂²⋊C₄	—	2	4	no	—
874	C₂²⋊C₄	—	2	4	no	—
875	C₂²⋊C₄	—	4	2	no	—
876	C₂²⋊C₄	—	4	2	no	—
877	C₂²⋊C₄	—	4	2	no	—
878	C₂²⋊C₄	—	4	2	no	—
879	C₂²⋊C₄	—	4	2	no	—
880	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
881	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
882	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
883	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
884	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
885	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
886	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
887	C₄²	—	2	2	no	—
888	C₄²	—	2	4	no	—
889	C₄²	—	2	2	no	—
890	C₄²	—	2	4	no	—
891	C₄²	—	2	2	no	—
892	C₄²	—	2	2	no	—
893	C₄²	—	2	2	no	—
894	C₄²	—	2	2	no	—
895	C₄²	—	2	2	no	—
896	C₄²	—	4	1	no	—
897	C₄²	—	4	1	no	—
898	C₄²	—	4	1	no	—
899	C₄²	—	4	1	no	—
900	C₄²	—	4	2	no	—
901	C₄²	—	4	2	no	—
902	C₄²	—	4	2	no	—
903	C₄²	—	4	1	no	—
904	C₄²	—	4	2	no	—
905	C₄²	C₂²×C₄×C₁₃	1	8	yes	—
906	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
907	C₁₃	#34323	1	1	yes	characteristic, direct product factor, Sylow
908	C₂³	—	2	1	no	—
909	C₂³	—	2	1	no	—
910	C₂³	—	2	1	no	—
911	C₂³	—	2	1	no	—
912	C₂³	—	2	1	no	—
913	C₂³	—	2	2	no	—
914	C₂³	—	2	1	no	—
915	C₂³	—	2	2	no	—
916	C₂³	—	2	2	no	—
917	C₂³	—	2	1	no	—
918	C₂³	—	2	1	no	—
919	C₂³	—	2	2	no	—
920	C₂³	—	2	1	no	—
921	C₂³	—	2	2	no	—
922	C₂³	—	2	2	no	—
923	C₂³	—	2	1	no	—
924	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
925	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
926	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
927	C₂³	C₂×C₁₃×#41	1	2	yes	—
928	C₂³	C₂×C₁₃×#41	1	2	yes	—
929	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
930	D₄	—	2	16	no	—
931	D₄	—	2	8	no	—
932	D₄	—	2	8	no	—
933	D₄	—	4	8	no	—
934	C₂×C₄	—	2	1	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	1	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	1	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	1	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	1	no	—
950	C₂×C₄	—	2	1	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	2	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	8	no	—
959	C₂×C₄	—	2	8	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	2	no	—
962	C₂×C₄	—	2	2	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	2	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	2	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	2	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	4	8	no	—
982	C₂×C₄	—	4	8	no	—
983	C₂×C₄	—	4	4	no	—
984	C₂×C₄	—	4	4	no	—
985	C₂×C₄	—	4	4	no	—
986	C₂×C₄	—	4	4	no	—
987	C₂×C₄	—	8	4	no	—
988	C₂×C₄	—	8	4	no	—
989	C₂×C₄	—	8	4	no	—
990	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
991	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
992	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
993	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
994	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
995	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
996	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
997	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
998	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
999	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1000	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1001	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1002	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1003	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1004	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1005	C₂²	—	2	2	no	—
1006	C₂²	—	2	2	no	—
1007	C₂²	—	2	2	no	—
1008	C₂²	—	2	2	no	—
1009	C₂²	—	2	2	no	—
1010	C₂²	—	2	2	no	—
1011	C₂²	—	2	2	no	—
1012	C₂²	—	2	4	no	—
1013	C₂²	—	2	2	no	—
1014	C₂²	—	2	4	no	—
1015	C₂²	—	2	4	no	—
1016	C₂²	—	2	2	no	—
1017	C₂²	—	4	1	no	—
1018	C₂²	—	4	2	no	—
1019	C₂²	—	4	1	no	—
1020	C₂²	—	4	2	no	—
1021	C₂²	—	4	2	no	—
1022	C₂²	—	4	1	no	—
1023	C₂²	—	4	1	no	—
1024	C₂²	—	4	2	no	—
1025	C₂²	C₄×C₁₃×#41	1	4	yes	—
1026	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1027	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1028	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1029	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1030	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1031	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1032	C₂²	C₁₃×#585	1	1	yes	characteristic
1033	C₄	—	2	2	no	—
1034	C₄	—	2	2	no	—
1035	C₄	—	2	4	no	—
1036	C₄	—	2	2	no	—
1037	C₄	—	2	2	no	—
1038	C₄	—	2	2	no	—
1039	C₄	—	2	2	no	—
1040	C₄	—	2	4	no	—
1041	C₄	—	2	4	no	—
1042	C₄	—	2	2	no	—
1043	C₄	—	2	2	no	—
1044	C₄	—	2	2	no	—
1045	C₄	—	4	1	no	—
1046	C₄	—	4	2	no	—
1047	C₄	—	4	2	no	—
1048	C₄	—	4	1	no	—
1049	C₄	—	4	2	no	—
1050	C₄	—	4	1	no	—
1051	C₄	—	4	2	no	—
1052	C₄	C₁₃×#520	1	4	yes	—
1053	C₂	—	2	4	no	—
1054	C₂	—	4	2	no	—
1055	C₂	—	4	4	no	—
1056	C₂	C₂×C₄×C₁₃×#41	1	1	yes	characteristic
1057	C₂	C₂×C₁₃×#520	1	1	yes	characteristic
1058	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1059	C₂	C₁₃×#3505	1	1	yes	characteristic
1060	C₂	C₁₃×#3511	1	1	yes	characteristic
1061	C₂	C₁₃×#3515	1	1	yes	characteristic
1062	C₂	C₁₃×#3519	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×#553	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×#2373	C₂	semidirect
3. C₁₃×#2370	C₂	semidirect
4. C₁₃×#2363	C₂	semidirect
5. C₁₃×#2361	C₂	semidirect
6. C₁₃×#2361	C₂	semidirect
7. C₁₃×#2359	C₂	semidirect
8. C₁₃×#2352	C₂	semidirect
9. C₁₃×#2352	C₂	semidirect
10. C₁₃×#2349	C₂	semidirect
11. C₁₃×#2346	C₂	semidirect
12. C₁₃×#2345	C₂	semidirect
13. C₁₃×#2335	C₂	semidirect
14. C₁₃×#2334	C₂	semidirect
15. C₁₃×#2325	C₂	semidirect
16. C₄×C₁₃×#125	C₂	semidirect
17. C₄×C₁₃×#121	C₂	semidirect
18. C₄×C₁₃×#121	C₂	semidirect
19. C₁₃×#2296	C₂	semidirect
20. C₁₃×#2293	C₂	semidirect
21. C₂×C₁₃×#389	C₂	semidirect
22. C₁₃×#2275	C₂	semidirect
23. C₄²×D₄×C₁₃	C₂	semidirect
24. C₁₃×#553	C₄	semidirect
139. C₁₃×#126	C₂×C₄	semidirect
140. C₁₃×#125	C₂×C₄	semidirect
141. C₁₃×#123	C₂×C₄	semidirect
142. C₁₃×#121	C₂×C₄	semidirect
143. C₁₃×#121	C₂×C₄	semidirect
144. C₁₃×#121	C₂×C₄	semidirect
152. C₄×D₄×C₁₃	C₂×C₄	semidirect
153. C₄×D₄×C₁₃	C₂×C₄	semidirect
154. C₄×D₄×C₁₃	C₂×C₄	semidirect
157. C₁₃×#117	C₂×C₄	semidirect
160. C₂×C₁₃×C₄⋊C₄	C₂×C₄	semidirect
247. #34323	C₁₃	direct (N × H)
378. #2373	C₂×C₁₃	semidirect
379. #2370	C₂×C₁₃	semidirect
380. #2363	C₂×C₁₃	semidirect
381. #2361	C₂×C₁₃	semidirect
382. #2361	C₂×C₁₃	semidirect
383. #2359	C₂×C₁₃	semidirect
384. #2352	C₂×C₁₃	semidirect
385. #2352	C₂×C₁₃	semidirect
386. #2349	C₂×C₁₃	semidirect
387. #2346	C₂×C₁₃	semidirect
388. #2345	C₂×C₁₃	semidirect
389. #2335	C₂×C₁₃	semidirect
390. #2334	C₂×C₁₃	semidirect
391. #2325	C₂×C₁₃	semidirect
392. C₄×#125	C₂×C₁₃	semidirect
393. C₄×#121	C₂×C₁₃	semidirect
394. C₄×#121	C₂×C₁₃	semidirect
395. #2296	C₂×C₁₃	semidirect
396. #2293	C₂×C₁₃	semidirect
397. C₂×#389	C₂×C₁₃	semidirect
398. #2275	C₂×C₁₃	semidirect
399. C₄²×D₄	C₂×C₁₃	semidirect
497. #553	C₄×C₁₃	semidirect
660. #126	C₂×C₄×C₁₃	semidirect
661. #125	C₂×C₄×C₁₃	semidirect
662. #123	C₂×C₄×C₁₃	semidirect
663. #121	C₂×C₄×C₁₃	semidirect
664. #121	C₂×C₄×C₁₃	semidirect
665. #121	C₂×C₄×C₁₃	semidirect
673. C₄×D₄	C₂×C₄×C₁₃	semidirect
674. C₄×D₄	C₂×C₄×C₁₃	semidirect
675. C₄×D₄	C₂×C₄×C₁₃	semidirect
678. #117	C₂×C₄×C₁₃	semidirect
681. C₂×C₄⋊C₄	C₂×C₄×C₁₃	semidirect
907. C₁₃	#34323	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×#553	2
C₁₃×#2373	2
C₁₃×#2370	2
C₁₃×#2363	2
C₁₃×#2361	2
C₁₃×#2359	2
C₁₃×#2352	2
C₁₃×#2349	2
C₁₃×#2346	2
C₁₃×#2345	2
C₁₃×#2335	2
C₁₃×#2334	2
C₁₃×#2325	2
C₄×C₁₃×#125	2
C₄×C₁₃×#121	2
C₁₃×#2296	2
C₁₃×#2293	2
C₂×C₁₃×#389	2
C₁₃×#2275	2
C₄²×D₄×C₁₃	2
#34323	13

Subgroups — C13×#34323 #15720662

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34323 #15720662