Subgroups — C₁₃×#34483 #15720822

Order 3328.

2232 conjugacy classes of subgroups.

The subgroup lattice has 1032 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×#2383	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2370	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2359	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2354	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×#2347	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2344	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×#2324	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2318	C₂	1	2	yes	maximal, complemented
19	C₁₃×#2317	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2316	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2293	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2293	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	1	yes	characteristic
35	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
37	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#117	C₂²	1	2	yes	—
40	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#117	C₂²	1	2	yes	—
42	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
43	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	C₁₃×#390	C₂²	1	1	yes	characteristic
46	C₁₃×#390	C₂²	1	1	yes	characteristic
47	C₁₃×#390	C₂²	1	1	yes	characteristic
48	C₁₃×#390	C₂²	1	1	yes	characteristic
49	C₁₃×#390	C₂²	1	2	yes	—
50	C₁₃×#390	C₂²	1	2	yes	—
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×#389	C₂²	1	1	yes	characteristic
57	C₁₃×#389	C₂²	1	1	yes	characteristic
58	C₁₃×#389	C₂²	1	2	yes	—
59	C₁₃×#389	C₂²	1	1	yes	characteristic
60	C₁₃×#389	C₂²	1	2	yes	—
61	C₁₃×#389	C₂²	1	1	yes	characteristic
62	C₁₃×#389	C₂²	1	1	yes	characteristic
63	C₁₃×#389	C₂²	1	1	yes	characteristic
64	C₁₃×#389	C₂²	1	2	yes	—
65	C₁₃×#388	C₂²	1	1	yes	characteristic
66	C₁₃×#388	C₂²	1	2	yes	—
67	C₁₃×#388	C₂²	1	1	yes	characteristic
68	C₁₃×#388	C₂²	1	1	yes	characteristic
69	C₁₃×#388	C₂²	1	1	yes	characteristic
70	C₁₃×#388	C₂²	1	2	yes	—
71	C₁₃×#388	C₂²	1	2	yes	—
72	C₁₃×#388	C₂²	1	2	yes	—
73	C₁₃×#388	C₂²	1	2	yes	—
74	C₁₃×#388	C₂²	1	2	yes	—
75	C₁₃×#388	C₂²	1	2	yes	—
76	C₁₃×#388	C₂²	1	2	yes	—
77	C₁₃×#388	C₂²	1	2	yes	—
78	C₁₃×#387	C₂²	1	2	yes	—
79	C₁₃×#387	C₂²	1	2	yes	—
80	C₁₃×#387	C₂²	1	2	yes	—
81	C₁₃×#387	C₂²	1	2	yes	—
82	C₁₃×#387	C₂²	1	2	yes	—
83	C₁₃×#387	C₂²	1	2	yes	—
84	C₁₃×#387	C₂²	1	2	yes	—
85	C₁₃×#386	C₂²	1	2	yes	—
86	C₁₃×#386	C₂²	1	2	yes	—
87	C₁₃×#386	C₂²	1	2	yes	—
88	C₁₃×#386	C₂²	1	2	yes	—
89	C₁₃×#386	C₂²	1	2	yes	—
90	C₁₃×#385	C₂²	1	2	yes	—
91	C₁₃×#385	C₂²	1	2	yes	—
92	C₁₃×#385	C₂²	1	2	yes	—
93	C₁₃×#385	C₂²	1	2	yes	—
94	C₁₃×#385	C₂²	1	2	yes	—
95	C₁₃×#385	C₂²	1	2	yes	—
96	C₁₃×#385	C₂²	1	2	yes	—
97	C₁₃×#384	C₂²	1	2	yes	—
98	C₁₃×#383	C₂²	1	2	yes	—
99	C₁₃×#382	C₂²	1	1	yes	characteristic
100	C₁₃×#382	C₂²	1	2	yes	—
101	C₁₃×#381	C₂²	1	2	yes	—
102	C₁₃×#380	C₂²	1	2	yes	—
103	C₁₃×#380	C₂²	1	2	yes	—
104	C₁₃×#380	C₂²	1	1	yes	characteristic
105	C₁₃×#380	C₂²	1	1	yes	characteristic
106	C₁₃×#380	C₂²	1	2	yes	—
107	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
113	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
116	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
121	C₄×C₁₃×C₂²⋊C₄	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	1	yes	characteristic
125	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
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	2	yes	—
131	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
132	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
135	C₁₃×#126	C₂×C₄	1	16	yes	complemented
136	C₁₃×#125	C₂×C₄	1	8	yes	complemented
137	C₁₃×#123	C₂×C₄	1	16	yes	complemented
138	C₁₃×#121	C₂×C₄	1	8	yes	—
139	C₁₃×#121	C₂×C₄	1	16	yes	complemented
140	C₁₃×#121	C₂×C₄	1	8	yes	complemented
141	C₄×D₄×C₁₃	—	4	4	no	—
142	C₄×D₄×C₁₃	—	4	2	no	—
143	C₄×D₄×C₁₃	—	4	2	no	—
144	C₄×D₄×C₁₃	C₂×C₄	1	16	yes	complemented
145	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
146	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
147	C₁₃×#117	—	4	2	no	—
148	C₁₃×#117	—	4	2	no	—
149	C₁₃×#117	—	4	4	no	—
150	C₁₃×#117	—	4	4	no	—
151	C₁₃×#117	—	4	2	no	—
152	C₁₃×#117	C₂×C₄	1	8	yes	complemented
153	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
154	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	8	yes	complemented
155	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
173	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
188	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	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	1	yes	characteristic
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
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	2	yes	—
213	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
214	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
215	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
220	C₁₃×#95	C₂³	1	1	yes	characteristic
221	C₁₃×#95	C₂³	1	1	yes	characteristic
222	C₁₃×#95	C₂³	1	2	yes	—
223	C₁₃×#95	C₂³	1	2	yes	—
224	C₁₃×#95	C₂³	1	2	yes	—
225	C₁₃×#95	C₂³	1	2	yes	—
226	C₁₃×#95	C₂³	1	2	yes	—
227	C₁₃×#95	C₂³	1	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	1	yes	characteristic
241	C₁₃×#95	C₂³	1	2	yes	—
242	C₁₃×#95	C₂³	1	2	yes	—
243	#34483	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
244	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
245	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
246	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
247	C₂×D₄×C₁₃	—	2	2	no	—
248	C₂×D₄×C₁₃	—	2	2	no	—
249	C₂×D₄×C₁₃	—	4	2	no	—
250	C₂×D₄×C₁₃	—	4	2	no	—
251	C₂×D₄×C₁₃	—	4	1	no	—
252	C₂×D₄×C₁₃	—	4	1	no	—
253	C₂×D₄×C₁₃	—	4	2	no	—
254	C₂×D₄×C₁₃	—	4	2	no	—
255	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
256	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
257	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
258	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
259	C₂²×C₄×C₁₃	—	2	2	no	—
260	C₂²×C₄×C₁₃	—	2	2	no	—
261	C₂²×C₄×C₁₃	—	2	2	no	—
262	C₂²×C₄×C₁₃	—	2	2	no	—
263	C₂²×C₄×C₁₃	—	4	2	no	—
264	C₂²×C₄×C₁₃	—	4	2	no	—
265	C₂²×C₄×C₁₃	—	4	2	no	—
266	C₂²×C₄×C₁₃	—	4	2	no	—
267	C₂²×C₄×C₁₃	—	4	2	no	—
268	C₂²×C₄×C₁₃	—	4	2	no	—
269	C₂²×C₄×C₁₃	—	4	2	no	—
270	C₂²×C₄×C₁₃	—	4	2	no	—
271	C₂²×C₄×C₁₃	—	4	2	no	—
272	C₂²×C₄×C₁₃	—	4	2	no	—
273	C₂²×C₄×C₁₃	—	4	2	no	—
274	C₂²×C₄×C₁₃	—	4	2	no	—
275	C₂²×C₄×C₁₃	—	4	2	no	—
276	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
277	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
278	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
279	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	—
280	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
281	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
282	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₂²×C₄×C₁₃	C₂⁴	1	2	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	2	yes	—
289	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	yes	—
298	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
300	C₁₃×C₄⋊C₄	—	2	2	no	—
301	C₁₃×C₄⋊C₄	—	2	2	no	—
302	C₁₃×C₄⋊C₄	—	2	4	no	—
303	C₁₃×C₄⋊C₄	—	2	2	no	—
304	C₁₃×C₄⋊C₄	—	2	2	no	—
305	C₁₃×C₄⋊C₄	—	4	2	no	—
306	C₁₃×C₄⋊C₄	—	4	1	no	—
307	C₁₃×C₄⋊C₄	—	4	1	no	—
308	C₁₃×C₄⋊C₄	—	4	2	no	—
309	C₁₃×C₄⋊C₄	—	4	2	no	—
310	C₁₃×C₄⋊C₄	—	4	2	no	—
311	C₁₃×C₄⋊C₄	—	4	2	no	—
312	C₁₃×C₄⋊C₄	—	4	1	no	—
313	C₁₃×C₄⋊C₄	—	4	1	no	—
314	C₁₃×C₄⋊C₄	—	4	2	no	—
315	C₁₃×C₄⋊C₄	—	4	2	no	—
316	C₁₃×C₄⋊C₄	—	4	1	no	—
317	C₁₃×C₄⋊C₄	—	4	1	no	—
318	C₁₃×C₄⋊C₄	—	4	2	no	—
319	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
320	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
321	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
322	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
323	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
324	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
325	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	—
326	C₁₃×C₂²⋊C₄	—	2	2	no	—
327	C₁₃×C₂²⋊C₄	—	2	4	no	—
328	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
334	C₁₃×C₂²⋊C₄	—	4	1	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	2	no	—
339	C₁₃×C₂²⋊C₄	—	4	2	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	C₂²×C₄	1	8	yes	—
344	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
345	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
346	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
347	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
348	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
349	C₄²×C₁₃	—	2	2	no	—
350	C₄²×C₁₃	—	2	2	no	—
351	C₄²×C₁₃	—	2	4	no	—
352	C₄²×C₁₃	—	2	2	no	—
353	C₄²×C₁₃	—	2	2	no	—
354	C₄²×C₁₃	—	2	2	no	—
355	C₄²×C₁₃	—	4	2	no	—
356	C₄²×C₁₃	—	4	1	no	—
357	C₄²×C₁₃	—	4	2	no	—
358	C₄²×C₁₃	—	4	1	no	—
359	C₄²×C₁₃	—	4	1	no	—
360	C₄²×C₁₃	—	4	2	no	—
361	C₄²×C₁₃	—	4	2	no	—
362	C₄²×C₁₃	—	4	2	no	—
363	C₄²×C₁₃	C₂²×C₄	1	8	yes	—
364	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
365	C₂×#553	C₂×C₁₃	1	1	yes	characteristic
366	#2383	C₂×C₁₃	1	2	yes	complemented
367	#2377	C₂×C₁₃	1	2	yes	complemented
368	#2370	C₂×C₁₃	1	1	yes	characteristic, complemented
369	#2363	C₂×C₁₃	1	1	yes	characteristic, complemented
370	#2361	C₂×C₁₃	1	1	yes	characteristic, complemented
371	#2359	C₂×C₁₃	1	2	yes	complemented
372	#2354	C₂×C₁₃	1	2	yes	complemented
373	#2352	C₂×C₁₃	1	1	yes	characteristic, complemented
374	#2349	C₂×C₁₃	1	1	yes	characteristic, complemented
375	#2347	C₂×C₁₃	1	1	yes	characteristic, complemented
376	#2344	C₂×C₁₃	1	1	yes	characteristic, complemented
377	#2335	C₂×C₁₃	1	2	yes	complemented
378	#2334	C₂×C₁₃	1	2	yes	complemented
379	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
380	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
381	#2324	C₂×C₁₃	1	2	yes	complemented
382	#2318	C₂×C₁₃	1	2	yes	complemented
383	#2317	C₂×C₁₃	1	1	yes	characteristic, complemented
384	#2316	C₂×C₁₃	1	1	yes	characteristic, complemented
385	C₄×#125	C₂×C₁₃	1	1	yes	characteristic, complemented
386	#2293	C₂×C₁₃	1	1	yes	characteristic, complemented
387	#2293	C₂×C₁₃	1	1	yes	characteristic, complemented
388	C₂³×C₁₃	—	2	1	no	—
389	C₂³×C₁₃	—	2	2	no	—
390	C₂³×C₁₃	—	2	1	no	—
391	C₂³×C₁₃	—	2	1	no	—
392	C₂³×C₁₃	—	2	1	no	—
393	C₂³×C₁₃	—	2	2	no	—
394	C₂³×C₁₃	—	2	1	no	—
395	C₂³×C₁₃	—	2	1	no	—
396	C₂³×C₁₃	—	2	2	no	—
397	C₂³×C₁₃	—	2	1	no	—
398	C₂³×C₁₃	—	2	1	no	—
399	C₂³×C₁₃	—	2	2	no	—
400	C₂³×C₁₃	—	2	2	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	4	yes	—
408	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
409	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
410	D₄×C₁₃	—	2	8	no	—
411	D₄×C₁₃	—	4	8	no	—
412	D₄×C₁₃	—	4	4	no	—
413	D₄×C₁₃	—	4	8	no	—
414	C₂×C₄×C₁₃	—	2	1	no	—
415	C₂×C₄×C₁₃	—	2	2	no	—
416	C₂×C₄×C₁₃	—	2	1	no	—
417	C₂×C₄×C₁₃	—	2	2	no	—
418	C₂×C₄×C₁₃	—	2	1	no	—
419	C₂×C₄×C₁₃	—	2	1	no	—
420	C₂×C₄×C₁₃	—	2	1	no	—
421	C₂×C₄×C₁₃	—	2	1	no	—
422	C₂×C₄×C₁₃	—	2	1	no	—
423	C₂×C₄×C₁₃	—	2	2	no	—
424	C₂×C₄×C₁₃	—	2	1	no	—
425	C₂×C₄×C₁₃	—	2	1	no	—
426	C₂×C₄×C₁₃	—	2	1	no	—
427	C₂×C₄×C₁₃	—	2	2	no	—
428	C₂×C₄×C₁₃	—	2	2	no	—
429	C₂×C₄×C₁₃	—	2	2	no	—
430	C₂×C₄×C₁₃	—	2	8	no	—
431	C₂×C₄×C₁₃	—	2	8	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	2	no	—
439	C₂×C₄×C₁₃	—	2	1	no	—
440	C₂×C₄×C₁₃	—	2	1	no	—
441	C₂×C₄×C₁₃	—	2	2	no	—
442	C₂×C₄×C₁₃	—	2	2	no	—
443	C₂×C₄×C₁₃	—	2	2	no	—
444	C₂×C₄×C₁₃	—	2	2	no	—
445	C₂×C₄×C₁₃	—	2	1	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	1	no	—
450	C₂×C₄×C₁₃	—	2	1	no	—
451	C₂×C₄×C₁₃	—	2	2	no	—
452	C₂×C₄×C₁₃	—	2	1	no	—
453	C₂×C₄×C₁₃	—	2	1	no	—
454	C₂×C₄×C₁₃	—	2	2	no	—
455	C₂×C₄×C₁₃	—	2	1	no	—
456	C₂×C₄×C₁₃	—	2	1	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	2	no	—
459	C₂×C₄×C₁₃	—	2	1	no	—
460	C₂×C₄×C₁₃	—	2	1	no	—
461	C₂×C₄×C₁₃	—	2	2	no	—
462	C₂×C₄×C₁₃	—	2	1	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	1	no	—
465	C₂×C₄×C₁₃	—	4	8	no	—
466	C₂×C₄×C₁₃	—	4	8	no	—
467	C₂×C₄×C₁₃	—	8	4	no	—
468	C₂×C₄×C₁₃	—	8	4	no	—
469	C₂×C₄×C₁₃	—	8	4	no	—
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	2	yes	—
475	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
476	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
477	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
478	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
479	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
480	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
481	#553	C₄×C₁₃	1	16	yes	complemented
482	C₂×#126	C₂²×C₁₃	1	2	yes	—
483	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
484	C₂×#123	C₂²×C₁₃	1	2	yes	—
485	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
486	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
487	C₂×#121	C₂²×C₁₃	1	2	yes	—
488	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
489	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
490	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
491	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
492	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
493	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
494	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
495	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
496	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
497	C₂×#117	C₂²×C₁₃	1	2	yes	—
498	C₂×#117	C₂²×C₁₃	1	2	yes	—
499	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
500	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
501	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
502	#390	C₂²×C₁₃	1	2	yes	—
503	#390	C₂²×C₁₃	1	1	yes	characteristic
504	#390	C₂²×C₁₃	1	1	yes	characteristic
505	#390	C₂²×C₁₃	1	2	yes	—
506	#390	C₂²×C₁₃	1	2	yes	—
507	#390	C₂²×C₁₃	1	1	yes	characteristic
508	#390	C₂²×C₁₃	1	1	yes	characteristic
509	#389	C₂²×C₁₃	1	1	yes	characteristic
510	#389	C₂²×C₁₃	1	1	yes	characteristic
511	#389	C₂²×C₁₃	1	1	yes	characteristic
512	#389	C₂²×C₁₃	1	2	yes	—
513	#389	C₂²×C₁₃	1	1	yes	characteristic
514	#389	C₂²×C₁₃	1	2	yes	—
515	#389	C₂²×C₁₃	1	1	yes	characteristic
516	#389	C₂²×C₁₃	1	1	yes	characteristic
517	#389	C₂²×C₁₃	1	1	yes	characteristic
518	#389	C₂²×C₁₃	1	2	yes	—
519	#389	C₂²×C₁₃	1	1	yes	characteristic
520	#389	C₂²×C₁₃	1	1	yes	characteristic
521	#389	C₂²×C₁₃	1	1	yes	characteristic
522	#388	C₂²×C₁₃	1	1	yes	characteristic
523	#388	C₂²×C₁₃	1	2	yes	—
524	#388	C₂²×C₁₃	1	2	yes	—
525	#388	C₂²×C₁₃	1	2	yes	—
526	#388	C₂²×C₁₃	1	2	yes	—
527	#388	C₂²×C₁₃	1	2	yes	—
528	#388	C₂²×C₁₃	1	2	yes	—
529	#388	C₂²×C₁₃	1	1	yes	characteristic
530	#388	C₂²×C₁₃	1	2	yes	—
531	#388	C₂²×C₁₃	1	2	yes	—
532	#388	C₂²×C₁₃	1	1	yes	characteristic
533	#388	C₂²×C₁₃	1	1	yes	characteristic
534	#388	C₂²×C₁₃	1	2	yes	—
535	#387	C₂²×C₁₃	1	2	yes	—
536	#387	C₂²×C₁₃	1	2	yes	—
537	#387	C₂²×C₁₃	1	2	yes	—
538	#387	C₂²×C₁₃	1	2	yes	—
539	#387	C₂²×C₁₃	1	2	yes	—
540	#387	C₂²×C₁₃	1	2	yes	—
541	#387	C₂²×C₁₃	1	2	yes	—
542	#386	C₂²×C₁₃	1	2	yes	—
543	#386	C₂²×C₁₃	1	2	yes	—
544	#386	C₂²×C₁₃	1	2	yes	—
545	#386	C₂²×C₁₃	1	2	yes	—
546	#386	C₂²×C₁₃	1	2	yes	—
547	#385	C₂²×C₁₃	1	2	yes	—
548	#385	C₂²×C₁₃	1	2	yes	—
549	#385	C₂²×C₁₃	1	2	yes	—
550	#385	C₂²×C₁₃	1	2	yes	—
551	#385	C₂²×C₁₃	1	2	yes	—
552	#385	C₂²×C₁₃	1	2	yes	—
553	#385	C₂²×C₁₃	1	2	yes	—
554	#384	C₂²×C₁₃	1	2	yes	—
555	#383	C₂²×C₁₃	1	2	yes	—
556	#382	C₂²×C₁₃	1	1	yes	characteristic
557	#382	C₂²×C₁₃	1	2	yes	—
558	#381	C₂²×C₁₃	1	2	yes	—
559	#380	C₂²×C₁₃	1	2	yes	—
560	#380	C₂²×C₁₃	1	2	yes	—
561	#380	C₂²×C₁₃	1	1	yes	characteristic
562	#380	C₂²×C₁₃	1	1	yes	characteristic
563	#380	C₂²×C₁₃	1	2	yes	—
564	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
565	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
566	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
567	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
568	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
569	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
570	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
578	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
579	C₂×#95	C₂²×C₁₃	1	2	yes	—
580	C₄³	C₂²×C₁₃	1	1	yes	characteristic
581	C₂²×C₁₃	—	2	2	no	—
582	C₂²×C₁₃	—	2	2	no	—
583	C₂²×C₁₃	—	2	4	no	—
584	C₂²×C₁₃	—	2	2	no	—
585	C₂²×C₁₃	—	2	2	no	—
586	C₂²×C₁₃	—	2	4	no	—
587	C₂²×C₁₃	—	2	2	no	—
588	C₂²×C₁₃	—	2	4	no	—
589	C₂²×C₁₃	—	2	2	no	—
590	C₂²×C₁₃	—	4	1	no	—
591	C₂²×C₁₃	—	4	2	no	—
592	C₂²×C₁₃	—	4	1	no	—
593	C₂²×C₁₃	—	4	2	no	—
594	C₂²×C₁₃	—	4	1	no	—
595	C₂²×C₁₃	—	4	1	no	—
596	C₂²×C₁₃	—	4	1	no	—
597	C₂²×C₁₃	—	4	2	no	—
598	C₂²×C₁₃	—	4	1	no	—
599	C₂²×C₁₃	—	4	1	no	—
600	C₂²×C₁₃	—	4	1	no	—
601	C₂²×C₁₃	—	4	2	no	—
602	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
603	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
604	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
605	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
606	C₂²×C₁₃	#585	1	1	yes	characteristic
607	C₂²×C₁₃	#585	1	1	yes	characteristic
608	C₂²×C₁₃	#585	1	1	yes	characteristic
609	C₄×C₁₃	—	2	2	no	—
610	C₄×C₁₃	—	2	2	no	—
611	C₄×C₁₃	—	2	4	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	2	no	—
617	C₄×C₁₃	—	4	1	no	—
618	C₄×C₁₃	—	4	1	no	—
619	C₄×C₁₃	—	4	2	no	—
620	C₄×C₁₃	—	4	1	no	—
621	C₄×C₁₃	—	4	2	no	—
622	C₄×C₁₃	—	4	1	no	—
623	C₄×C₁₃	—	4	1	no	—
624	C₄×C₁₃	—	4	2	no	—
625	C₄×C₁₃	—	4	1	no	—
626	C₄×C₁₃	—	4	2	no	—
627	C₄×C₁₃	—	4	1	no	—
628	C₄×C₁₃	#520	1	4	yes	—
629	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
630	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
631	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
632	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
633	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
634	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
635	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
636	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
637	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
638	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
639	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
640	#126	C₂×C₄×C₁₃	1	16	yes	complemented
641	#125	C₂×C₄×C₁₃	1	8	yes	complemented
642	#123	C₂×C₄×C₁₃	1	16	yes	complemented
643	#121	C₂×C₄×C₁₃	1	8	yes	—
644	#121	C₂×C₄×C₁₃	1	16	yes	complemented
645	#121	C₂×C₄×C₁₃	1	8	yes	complemented
646	C₄×D₄	—	4	4	no	—
647	C₄×D₄	—	4	2	no	—
648	C₄×D₄	—	4	2	no	—
649	C₄×D₄	C₂×C₄×C₁₃	1	16	yes	complemented
650	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
651	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
652	#117	—	4	2	no	—
653	#117	—	4	2	no	—
654	#117	—	4	4	no	—
655	#117	—	4	4	no	—
656	#117	—	4	2	no	—
657	#117	C₂×C₄×C₁₃	1	8	yes	complemented
658	C₂×C₄⋊C₄	—	4	2	no	—
659	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	8	yes	complemented
660	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
661	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
665	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
668	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
672	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
673	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
674	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
675	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
676	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
680	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
681	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
682	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
683	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
684	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
685	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
687	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
688	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
691	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
704	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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×C₄²	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
714	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
719	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
722	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
723	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
724	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
725	#95	C₂³×C₁₃	1	1	yes	characteristic
726	#95	C₂³×C₁₃	1	2	yes	—
727	#95	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
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	1	yes	characteristic
736	#95	C₂³×C₁₃	1	1	yes	characteristic
737	#95	C₂³×C₁₃	1	1	yes	characteristic
738	#95	C₂³×C₁₃	1	2	yes	—
739	#95	C₂³×C₁₃	1	2	yes	—
740	#95	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
746	#95	C₂³×C₁₃	1	2	yes	—
747	#95	C₂³×C₁₃	1	2	yes	—
748	C₂×C₁₃	—	4	2	no	—
749	C₂×C₁₃	—	4	2	no	—
750	C₂×C₁₃	—	4	4	no	—
751	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
752	C₂×C₁₃	#3428	1	1	yes	characteristic
753	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
754	C₂×C₁₃	#3546	1	1	yes	characteristic
755	C₂×C₁₃	#3551	1	1	yes	characteristic
756	C₂×C₁₃	#3559	1	1	yes	characteristic
757	C₂×C₁₃	#3565	1	1	yes	characteristic
758	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
759	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
760	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
761	C₂×D₄	—	2	2	no	—
762	C₂×D₄	—	2	2	no	—
763	C₂×D₄	—	4	2	no	—
764	C₂×D₄	—	4	2	no	—
765	C₂×D₄	—	4	1	no	—
766	C₂×D₄	—	4	1	no	—
767	C₂×D₄	—	4	2	no	—
768	C₂×D₄	—	4	2	no	—
769	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
770	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
771	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
772	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
773	C₂²×C₄	—	2	2	no	—
774	C₂²×C₄	—	2	2	no	—
775	C₂²×C₄	—	2	2	no	—
776	C₂²×C₄	—	2	2	no	—
777	C₂²×C₄	—	4	2	no	—
778	C₂²×C₄	—	4	2	no	—
779	C₂²×C₄	—	4	2	no	—
780	C₂²×C₄	—	4	2	no	—
781	C₂²×C₄	—	4	2	no	—
782	C₂²×C₄	—	4	2	no	—
783	C₂²×C₄	—	4	2	no	—
784	C₂²×C₄	—	4	2	no	—
785	C₂²×C₄	—	4	2	no	—
786	C₂²×C₄	—	4	2	no	—
787	C₂²×C₄	—	4	2	no	—
788	C₂²×C₄	—	4	2	no	—
789	C₂²×C₄	—	4	2	no	—
790	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
791	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
792	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
793	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	—
794	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
795	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
796	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
797	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
798	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
799	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
800	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
801	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
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	1	yes	characteristic
808	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
809	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
810	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
811	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
812	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
813	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	4	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	2	no	—
819	C₄⋊C₄	—	4	2	no	—
820	C₄⋊C₄	—	4	1	no	—
821	C₄⋊C₄	—	4	1	no	—
822	C₄⋊C₄	—	4	2	no	—
823	C₄⋊C₄	—	4	2	no	—
824	C₄⋊C₄	—	4	1	no	—
825	C₄⋊C₄	—	4	1	no	—
826	C₄⋊C₄	—	4	2	no	—
827	C₄⋊C₄	—	4	1	no	—
828	C₄⋊C₄	—	4	1	no	—
829	C₄⋊C₄	—	4	2	no	—
830	C₄⋊C₄	—	4	2	no	—
831	C₄⋊C₄	—	4	2	no	—
832	C₄⋊C₄	—	4	2	no	—
833	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
834	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
835	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
836	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
837	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
838	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
839	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	4	no	—
842	C₂²⋊C₄	—	2	2	no	—
843	C₂²⋊C₄	—	4	1	no	—
844	C₂²⋊C₄	—	4	1	no	—
845	C₂²⋊C₄	—	4	1	no	—
846	C₂²⋊C₄	—	4	1	no	—
847	C₂²⋊C₄	—	4	2	no	—
848	C₂²⋊C₄	—	4	2	no	—
849	C₂²⋊C₄	—	4	2	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	—	4	2	no	—
856	C₂²⋊C₄	—	4	1	no	—
857	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
858	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
859	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
860	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
861	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
862	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
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	2	no	—
869	C₄²	—	4	2	no	—
870	C₄²	—	4	2	no	—
871	C₄²	—	4	2	no	—
872	C₄²	—	4	2	no	—
873	C₄²	—	4	1	no	—
874	C₄²	—	4	2	no	—
875	C₄²	—	4	1	no	—
876	C₄²	—	4	1	no	—
877	C₄²	C₂²×C₄×C₁₃	1	8	yes	—
878	C₄²	C₂²×C₄×C₁₃	1	4	yes	—
879	C₁₃	#34483	1	1	yes	characteristic, direct product factor, Sylow
880	C₂³	—	2	1	no	—
881	C₂³	—	2	2	no	—
882	C₂³	—	2	1	no	—
883	C₂³	—	2	1	no	—
884	C₂³	—	2	1	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	2	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	1	no	—
894	C₂³	—	2	1	no	—
895	C₂³	—	2	2	no	—
896	C₂³	—	2	1	no	—
897	C₂³	—	2	1	no	—
898	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
899	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
900	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
901	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
902	D₄	—	2	8	no	—
903	D₄	—	4	8	no	—
904	D₄	—	4	4	no	—
905	D₄	—	4	8	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	2	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	1	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	1	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	2	no	—
922	C₂×C₄	—	2	8	no	—
923	C₂×C₄	—	2	8	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	1	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	2	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	1	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	2	2	no	—
935	C₂×C₄	—	2	2	no	—
936	C₂×C₄	—	2	2	no	—
937	C₂×C₄	—	2	1	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	1	no	—
942	C₂×C₄	—	2	1	no	—
943	C₂×C₄	—	2	2	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	1	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	1	no	—
948	C₂×C₄	—	2	1	no	—
949	C₂×C₄	—	2	1	no	—
950	C₂×C₄	—	2	2	no	—
951	C₂×C₄	—	2	1	no	—
952	C₂×C₄	—	2	1	no	—
953	C₂×C₄	—	2	2	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	2	no	—
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	4	8	no	—
958	C₂×C₄	—	4	8	no	—
959	C₂×C₄	—	8	4	no	—
960	C₂×C₄	—	8	4	no	—
961	C₂×C₄	—	8	4	no	—
962	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
963	C₂×C₄	C₂³×C₄×C₁₃	1	4	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	2	yes	—
968	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
969	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
970	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
971	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
972	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	2	no	—
975	C₂²	—	2	4	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	2	no	—
980	C₂²	—	2	4	no	—
981	C₂²	—	2	2	no	—
982	C₂²	—	4	1	no	—
983	C₂²	—	4	2	no	—
984	C₂²	—	4	1	no	—
985	C₂²	—	4	2	no	—
986	C₂²	—	4	1	no	—
987	C₂²	—	4	1	no	—
988	C₂²	—	4	1	no	—
989	C₂²	—	4	2	no	—
990	C₂²	—	4	1	no	—
991	C₂²	—	4	1	no	—
992	C₂²	—	4	1	no	—
993	C₂²	—	4	2	no	—
994	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
995	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
996	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
997	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
998	C₂²	C₁₃×#585	1	1	yes	characteristic
999	C₂²	C₁₃×#585	1	1	yes	characteristic
1000	C₂²	C₁₃×#585	1	1	yes	characteristic
1001	C₄	—	2	2	no	—
1002	C₄	—	2	2	no	—
1003	C₄	—	2	2	no	—
1004	C₄	—	2	4	no	—
1005	C₄	—	2	2	no	—
1006	C₄	—	2	2	no	—
1007	C₄	—	2	4	no	—
1008	C₄	—	2	4	no	—
1009	C₄	—	4	1	no	—
1010	C₄	—	4	1	no	—
1011	C₄	—	4	2	no	—
1012	C₄	—	4	1	no	—
1013	C₄	—	4	2	no	—
1014	C₄	—	4	1	no	—
1015	C₄	—	4	1	no	—
1016	C₄	—	4	2	no	—
1017	C₄	—	4	1	no	—
1018	C₄	—	4	2	no	—
1019	C₄	—	4	1	no	—
1020	C₄	C₁₃×#520	1	4	yes	—
1021	C₂	—	4	2	no	—
1022	C₂	—	4	2	no	—
1023	C₂	—	4	4	no	—
1024	C₂	C₂×C₁₃×#520	1	1	yes	characteristic
1025	C₂	C₁₃×#3428	1	1	yes	characteristic
1026	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1027	C₂	C₁₃×#3546	1	1	yes	characteristic
1028	C₂	C₁₃×#3551	1	1	yes	characteristic
1029	C₂	C₁₃×#3559	1	1	yes	characteristic
1030	C₂	C₁₃×#3565	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×#2383	C₂	semidirect
3. C₁₃×#2377	C₂	semidirect
4. C₁₃×#2370	C₂	semidirect
5. C₁₃×#2363	C₂	semidirect
6. C₁₃×#2361	C₂	semidirect
7. C₁₃×#2359	C₂	semidirect
8. C₁₃×#2354	C₂	semidirect
9. C₁₃×#2352	C₂	semidirect
10. C₁₃×#2349	C₂	semidirect
11. C₁₃×#2347	C₂	semidirect
12. C₁₃×#2344	C₂	semidirect
13. C₁₃×#2335	C₂	semidirect
14. C₁₃×#2334	C₂	semidirect
15. C₁₃×#2324	C₂	semidirect
16. C₁₃×#2324	C₂	semidirect
17. C₁₃×#2324	C₂	semidirect
18. C₁₃×#2318	C₂	semidirect
19. C₁₃×#2317	C₂	semidirect
20. C₁₃×#2316	C₂	semidirect
21. C₄×C₁₃×#125	C₂	semidirect
22. C₁₃×#2293	C₂	semidirect
23. C₁₃×#2293	C₂	semidirect
24. C₁₃×#553	C₄	semidirect
135. C₁₃×#126	C₂×C₄	semidirect
136. C₁₃×#125	C₂×C₄	semidirect
137. C₁₃×#123	C₂×C₄	semidirect
139. C₁₃×#121	C₂×C₄	semidirect
140. C₁₃×#121	C₂×C₄	semidirect
144. C₄×D₄×C₁₃	C₂×C₄	semidirect
145. C₄×D₄×C₁₃	C₂×C₄	semidirect
146. C₄×D₄×C₁₃	C₂×C₄	semidirect
152. C₁₃×#117	C₂×C₄	semidirect
154. C₂×C₁₃×C₄⋊C₄	C₂×C₄	semidirect
243. #34483	C₁₃	direct (N × H)
366. #2383	C₂×C₁₃	semidirect
367. #2377	C₂×C₁₃	semidirect
368. #2370	C₂×C₁₃	semidirect
369. #2363	C₂×C₁₃	semidirect
370. #2361	C₂×C₁₃	semidirect
371. #2359	C₂×C₁₃	semidirect
372. #2354	C₂×C₁₃	semidirect
373. #2352	C₂×C₁₃	semidirect
374. #2349	C₂×C₁₃	semidirect
375. #2347	C₂×C₁₃	semidirect
376. #2344	C₂×C₁₃	semidirect
377. #2335	C₂×C₁₃	semidirect
378. #2334	C₂×C₁₃	semidirect
379. #2324	C₂×C₁₃	semidirect
380. #2324	C₂×C₁₃	semidirect
381. #2324	C₂×C₁₃	semidirect
382. #2318	C₂×C₁₃	semidirect
383. #2317	C₂×C₁₃	semidirect
384. #2316	C₂×C₁₃	semidirect
385. C₄×#125	C₂×C₁₃	semidirect
386. #2293	C₂×C₁₃	semidirect
387. #2293	C₂×C₁₃	semidirect
481. #553	C₄×C₁₃	semidirect
640. #126	C₂×C₄×C₁₃	semidirect
641. #125	C₂×C₄×C₁₃	semidirect
642. #123	C₂×C₄×C₁₃	semidirect
644. #121	C₂×C₄×C₁₃	semidirect
645. #121	C₂×C₄×C₁₃	semidirect
649. C₄×D₄	C₂×C₄×C₁₃	semidirect
650. C₄×D₄	C₂×C₄×C₁₃	semidirect
651. C₄×D₄	C₂×C₄×C₁₃	semidirect
657. #117	C₂×C₄×C₁₃	semidirect
659. C₂×C₄⋊C₄	C₂×C₄×C₁₃	semidirect
879. C₁₃	#34483	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×#2383	2
C₁₃×#2377	2
C₁₃×#2370	2
C₁₃×#2363	2
C₁₃×#2361	2
C₁₃×#2359	2
C₁₃×#2354	2
C₁₃×#2352	2
C₁₃×#2349	2
C₁₃×#2347	2
C₁₃×#2344	2
C₁₃×#2335	2
C₁₃×#2334	2
C₁₃×#2324	2
C₁₃×#2318	2
C₁₃×#2317	2
C₁₃×#2316	2
C₄×C₁₃×#125	2
C₁₃×#2293	2
#34483	13

Subgroups — C13×#34483 #15720822

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34483 #15720822