Subgroups — C₁₃×#34277 #15720616

Order 3328.

2634 conjugacy classes of subgroups.

The subgroup lattice has 982 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#538	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2374	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2373	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2373	C₂	1	2	yes	maximal, complemented
5	C₁₃×#2372	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2367	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2364	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2363	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2359	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2329	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2312	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×C₁₃×#120	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2290	C₂	1	2	yes	maximal, complemented
18	C₁₃×#2275	C₂	1	2	yes	maximal, complemented
19	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
21	C₁₃×#538	C₄	1	16	yes	complemented
22	C₂×C₁₃×#126	C₂²	1	2	yes	—
23	C₂×C₁₃×#124	C₂²	1	2	yes	—
24	C₂×C₁₃×#123	C₂²	1	2	yes	—
25	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#121	C₂²	1	2	yes	—
28	C₂×C₁₃×#120	C₂²	1	2	yes	—
29	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
31	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
32	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
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, complemented
36	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
37	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#391	C₂²	1	2	yes	complemented
43	C₁₃×#390	C₂²	1	2	yes	—
44	C₁₃×#390	C₂²	1	2	yes	—
45	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#389	C₂²	1	2	yes	complemented
49	C₁₃×#388	C₂²	1	2	yes	—
50	C₁₃×#388	C₂²	1	2	yes	—
51	C₁₃×#388	C₂²	1	2	yes	—
52	C₁₃×#388	C₂²	1	2	yes	—
53	C₁₃×#388	C₂²	1	2	yes	—
54	C₁₃×#388	C₂²	1	2	yes	—
55	C₁₃×#388	C₂²	1	2	yes	—
56	C₁₃×#388	C₂²	1	2	yes	—
57	C₁₃×#388	C₂²	1	2	yes	complemented
58	C₁₃×#388	C₂²	1	2	yes	complemented
59	C₁₃×#388	C₂²	1	2	yes	complemented
60	C₁₃×#388	C₂²	1	2	yes	complemented
61	C₁₃×#387	C₂²	1	2	yes	complemented
62	C₁₃×#387	C₂²	1	2	yes	complemented
63	C₁₃×#387	C₂²	1	2	yes	complemented
64	C₁₃×#387	C₂²	1	2	yes	complemented
65	C₁₃×#387	C₂²	1	2	yes	complemented
66	C₁₃×#387	C₂²	1	2	yes	complemented
67	C₁₃×#386	C₂²	1	2	yes	—
68	C₁₃×#386	C₂²	1	2	yes	—
69	C₁₃×#386	C₂²	1	2	yes	—
70	C₁₃×#386	C₂²	1	2	yes	—
71	C₁₃×#386	C₂²	1	2	yes	—
72	C₁₃×#386	C₂²	1	2	yes	—
73	C₁₃×#386	C₂²	1	2	yes	complemented
74	C₁₃×#385	C₂²	1	2	yes	—
75	C₁₃×#385	C₂²	1	2	yes	—
76	C₁₃×#385	C₂²	1	2	yes	—
77	C₁₃×#385	C₂²	1	2	yes	—
78	C₁₃×#385	C₂²	1	2	yes	complemented
79	C₁₃×#380	C₂²	1	1	yes	characteristic
80	C₁₃×#380	C₂²	1	1	yes	characteristic
81	C₁₃×#379	C₂²	1	2	yes	—
82	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
83	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
84	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
85	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
86	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
88	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
90	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
91	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
92	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
93	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
94	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
95	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
96	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
97	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
98	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
99	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
100	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
101	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
102	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
103	C₁₃×#376	C₂²	1	2	yes	complemented
104	C₁₃×#376	C₂²	1	2	yes	complemented
105	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
106	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
107	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
108	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
109	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
110	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
111	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
112	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
114	C₂³×C₄×C₁₃	—	2	4	no	—
115	C₂³×C₄×C₁₃	—	4	2	no	—
116	C₂³×C₄×C₁₃	—	4	2	no	—
117	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
118	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
119	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
120	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
121	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
122	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
123	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
125	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
128	C₁₃×#126	C₂×C₄	1	16	yes	complemented
129	C₁₃×#124	C₂×C₄	1	16	yes	complemented
130	C₁₃×#123	C₂×C₄	1	16	yes	complemented
131	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
132	C₁₃×#121	C₂×C₄	1	16	yes	complemented
133	C₁₃×#121	C₂×C₄	1	8	yes	complemented
134	C₁₃×#120	C₂×C₄	1	16	yes	complemented
135	C₄×Q₈×C₁₃	—	4	2	no	—
136	C₄×D₄×C₁₃	—	2	8	no	—
137	C₄×D₄×C₁₃	—	2	8	no	—
138	C₄×D₄×C₁₃	—	4	2	no	—
139	C₄×D₄×C₁₃	—	4	4	no	—
140	C₄×D₄×C₁₃	—	4	4	no	—
141	C₄×D₄×C₁₃	C₂×C₄	1	16	yes	complemented
142	C₁₃×#117	—	4	4	no	—
143	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
146	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
147	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
153	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
154	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
155	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
158	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
159	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
161	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
178	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
179	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₄²×C₁₃	—	4	2	no	—
181	C₂×C₄²×C₁₃	—	4	2	no	—
182	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
183	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
184	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
185	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
186	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
187	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
188	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
189	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
190	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
191	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
193	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
196	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
197	C₁₃×#95	C₂³	1	2	yes	—
198	C₁₃×#95	C₂³	1	2	yes	—
199	C₁₃×#95	C₂³	1	2	yes	—
200	C₁₃×#95	C₂³	1	2	yes	—
201	C₁₃×#95	C₂³	1	2	yes	—
202	C₁₃×#95	C₂³	1	2	yes	—
203	C₁₃×#95	C₂³	1	2	yes	—
204	C₁₃×#95	C₂³	1	2	yes	—
205	C₁₃×#95	C₂³	1	2	yes	—
206	C₁₃×#95	C₂³	1	2	yes	—
207	C₁₃×#95	C₂³	1	2	yes	—
208	C₁₃×#95	C₂³	1	2	yes	—
209	C₁₃×#95	C₂³	1	2	yes	—
210	C₁₃×#95	C₂³	1	2	yes	—
211	C₁₃×#95	C₂³	1	2	yes	—
212	C₁₃×#95	C₂³	1	2	yes	—
213	C₁₃×#95	C₂³	1	2	yes	—
214	C₁₃×#95	C₂³	1	2	yes	—
215	C₁₃×#95	C₂³	1	2	yes	—
216	C₁₃×#95	C₂³	1	2	yes	—
217	#34277	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
218	C₂⁴×C₁₃	—	2	2	no	—
219	C₂⁴×C₁₃	—	2	2	no	—
220	C₂⁴×C₁₃	—	4	1	no	—
221	C₂⁴×C₁₃	—	4	1	no	—
222	C₂⁴×C₁₃	—	4	1	no	—
223	C₂⁴×C₁₃	—	4	1	no	—
224	C₂⁴×C₁₃	C₂²×C₄	1	4	yes	—
225	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
226	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
227	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
228	C₂×Q₈×C₁₃	—	4	1	no	—
229	C₂×Q₈×C₁₃	—	4	1	no	—
230	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	complemented
231	C₂×D₄×C₁₃	—	2	4	no	—
232	C₂×D₄×C₁₃	—	2	4	no	—
233	C₂×D₄×C₁₃	—	4	1	no	—
234	C₂×D₄×C₁₃	—	4	2	no	—
235	C₂×D₄×C₁₃	—	4	2	no	—
236	C₂×D₄×C₁₃	—	4	2	no	—
237	C₂×D₄×C₁₃	—	4	1	no	—
238	C₂×D₄×C₁₃	—	4	2	no	—
239	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
240	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
241	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
242	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	complemented
243	C₂²×C₄×C₁₃	—	2	2	no	—
244	C₂²×C₄×C₁₃	—	2	2	no	—
245	C₂²×C₄×C₁₃	—	2	2	no	—
246	C₂²×C₄×C₁₃	—	2	2	no	—
247	C₂²×C₄×C₁₃	—	2	4	no	—
248	C₂²×C₄×C₁₃	—	2	4	no	—
249	C₂²×C₄×C₁₃	—	2	4	no	—
250	C₂²×C₄×C₁₃	—	2	4	no	—
251	C₂²×C₄×C₁₃	—	2	4	no	—
252	C₂²×C₄×C₁₃	—	2	4	no	—
253	C₂²×C₄×C₁₃	—	4	1	no	—
254	C₂²×C₄×C₁₃	—	4	1	no	—
255	C₂²×C₄×C₁₃	—	4	1	no	—
256	C₂²×C₄×C₁₃	—	4	1	no	—
257	C₂²×C₄×C₁₃	—	4	2	no	—
258	C₂²×C₄×C₁₃	—	4	2	no	—
259	C₂²×C₄×C₁₃	—	4	2	no	—
260	C₂²×C₄×C₁₃	—	4	1	no	—
261	C₂²×C₄×C₁₃	—	4	1	no	—
262	C₂²×C₄×C₁₃	—	4	1	no	—
263	C₂²×C₄×C₁₃	—	4	1	no	—
264	C₂²×C₄×C₁₃	—	4	2	no	—
265	C₂²×C₄×C₁₃	—	4	1	no	—
266	C₂²×C₄×C₁₃	—	4	1	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	16	no	—
272	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
273	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
274	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
275	C₂²×C₄×C₁₃	#41	1	4	yes	—
276	C₂²×C₄×C₁₃	#41	1	4	yes	—
277	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
278	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
281	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
285	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
286	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
288	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
290	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
293	C₁₃×C₄⋊C₄	—	2	4	no	—
294	C₁₃×C₄⋊C₄	—	2	4	no	—
295	C₁₃×C₄⋊C₄	—	2	4	no	—
296	C₁₃×C₄⋊C₄	—	2	4	no	—
297	C₁₃×C₄⋊C₄	—	4	1	no	—
298	C₁₃×C₄⋊C₄	—	4	1	no	—
299	C₁₃×C₄⋊C₄	—	4	2	no	—
300	C₁₃×C₄⋊C₄	—	4	2	no	—
301	C₁₃×C₄⋊C₄	—	4	1	no	—
302	C₁₃×C₄⋊C₄	—	4	1	no	—
303	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
304	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
305	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
306	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
307	C₁₃×C₂²⋊C₄	—	2	4	no	—
308	C₁₃×C₂²⋊C₄	—	2	4	no	—
309	C₁₃×C₂²⋊C₄	—	2	4	no	—
310	C₁₃×C₂²⋊C₄	—	2	4	no	—
311	C₁₃×C₂²⋊C₄	—	2	4	no	—
312	C₁₃×C₂²⋊C₄	—	2	4	no	—
313	C₁₃×C₂²⋊C₄	—	2	4	no	—
314	C₁₃×C₂²⋊C₄	—	2	4	no	—
315	C₁₃×C₂²⋊C₄	—	4	2	no	—
316	C₁₃×C₂²⋊C₄	—	4	2	no	—
317	C₁₃×C₂²⋊C₄	—	4	2	no	—
318	C₁₃×C₂²⋊C₄	—	4	2	no	—
319	C₁₃×C₂²⋊C₄	—	4	2	no	—
320	C₁₃×C₂²⋊C₄	—	4	2	no	—
321	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
322	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
323	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
324	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
325	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
326	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
327	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
328	C₄²×C₁₃	—	2	4	no	—
329	C₄²×C₁₃	—	2	4	no	—
330	C₄²×C₁₃	—	2	4	no	—
331	C₄²×C₁₃	—	2	2	no	—
332	C₄²×C₁₃	—	2	2	no	—
333	C₄²×C₁₃	—	4	1	no	—
334	C₄²×C₁₃	—	4	2	no	—
335	C₄²×C₁₃	—	4	1	no	—
336	C₄²×C₁₃	—	4	2	no	—
337	C₄²×C₁₃	—	4	2	no	—
338	C₄²×C₁₃	—	4	2	no	—
339	C₄²×C₁₃	—	4	2	no	—
340	C₄²×C₁₃	—	4	2	no	—
341	C₄²×C₁₃	—	4	2	no	—
342	C₄²×C₁₃	C₂²×C₄	1	8	yes	complemented
343	C₂×#538	C₂×C₁₃	1	1	yes	characteristic
344	#2374	C₂×C₁₃	1	2	yes	complemented
345	#2373	C₂×C₁₃	1	2	yes	complemented
346	#2373	C₂×C₁₃	1	2	yes	complemented
347	#2372	C₂×C₁₃	1	2	yes	complemented
348	#2367	C₂×C₁₃	1	2	yes	complemented
349	#2364	C₂×C₁₃	1	2	yes	complemented
350	#2363	C₂×C₁₃	1	2	yes	complemented
351	#2359	C₂×C₁₃	1	2	yes	complemented
352	#2329	C₂×C₁₃	1	1	yes	characteristic, complemented
353	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
354	#2321	C₂×C₁₃	1	2	yes	complemented
355	#2312	C₂×C₁₃	1	1	yes	characteristic, complemented
356	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
357	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
358	C₄×#120	C₂×C₁₃	1	2	yes	complemented
359	#2290	C₂×C₁₃	1	2	yes	complemented
360	#2275	C₂×C₁₃	1	2	yes	complemented
361	C₂×C₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
362	C₂³×C₁₃	—	2	1	no	—
363	C₂³×C₁₃	—	2	1	no	—
364	C₂³×C₁₃	—	2	1	no	—
365	C₂³×C₁₃	—	2	1	no	—
366	C₂³×C₁₃	—	2	8	no	—
367	C₂³×C₁₃	—	2	2	no	—
368	C₂³×C₁₃	—	2	2	no	—
369	C₂³×C₁₃	—	2	2	no	—
370	C₂³×C₁₃	—	2	2	no	—
371	C₂³×C₁₃	—	2	2	no	—
372	C₂³×C₁₃	—	2	2	no	—
373	C₂³×C₁₃	—	2	2	no	—
374	C₂³×C₁₃	—	2	2	no	—
375	C₂³×C₁₃	—	2	2	no	—
376	C₂³×C₁₃	—	2	2	no	—
377	C₂³×C₁₃	—	2	2	no	—
378	C₂³×C₁₃	—	2	2	no	—
379	C₂³×C₁₃	—	4	4	no	—
380	C₂³×C₁₃	—	4	4	no	—
381	C₂³×C₁₃	—	4	4	no	—
382	C₂³×C₁₃	—	4	4	no	—
383	C₂³×C₁₃	—	4	4	no	—
384	C₂³×C₁₃	—	4	4	no	—
385	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
386	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
387	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
388	C₂³×C₁₃	C₂×#41	1	2	yes	—
389	C₂³×C₁₃	C₂×#41	1	2	yes	—
390	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
391	Q₈×C₁₃	—	4	4	no	—
392	D₄×C₁₃	—	2	16	no	—
393	D₄×C₁₃	—	4	8	no	—
394	D₄×C₁₃	—	4	8	no	—
395	D₄×C₁₃	—	4	4	no	—
396	C₂×C₄×C₁₃	—	2	8	no	—
397	C₂×C₄×C₁₃	—	2	2	no	—
398	C₂×C₄×C₁₃	—	2	2	no	—
399	C₂×C₄×C₁₃	—	2	1	no	—
400	C₂×C₄×C₁₃	—	2	1	no	—
401	C₂×C₄×C₁₃	—	2	1	no	—
402	C₂×C₄×C₁₃	—	2	2	no	—
403	C₂×C₄×C₁₃	—	2	1	no	—
404	C₂×C₄×C₁₃	—	2	1	no	—
405	C₂×C₄×C₁₃	—	2	1	no	—
406	C₂×C₄×C₁₃	—	2	2	no	—
407	C₂×C₄×C₁₃	—	2	1	no	—
408	C₂×C₄×C₁₃	—	2	1	no	—
409	C₂×C₄×C₁₃	—	2	2	no	—
410	C₂×C₄×C₁₃	—	2	2	no	—
411	C₂×C₄×C₁₃	—	2	2	no	—
412	C₂×C₄×C₁₃	—	2	1	no	—
413	C₂×C₄×C₁₃	—	2	2	no	—
414	C₂×C₄×C₁₃	—	2	2	no	—
415	C₂×C₄×C₁₃	—	2	1	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	2	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	2	no	—
424	C₂×C₄×C₁₃	—	2	2	no	—
425	C₂×C₄×C₁₃	—	2	2	no	—
426	C₂×C₄×C₁₃	—	2	2	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	2	no	—
431	C₂×C₄×C₁₃	—	2	2	no	—
432	C₂×C₄×C₁₃	—	2	2	no	—
433	C₂×C₄×C₁₃	—	2	2	no	—
434	C₂×C₄×C₁₃	—	4	4	no	—
435	C₂×C₄×C₁₃	—	4	4	no	—
436	C₂×C₄×C₁₃	—	4	4	no	—
437	C₂×C₄×C₁₃	—	4	8	no	—
438	C₂×C₄×C₁₃	—	4	4	no	—
439	C₂×C₄×C₁₃	—	4	8	no	—
440	C₂×C₄×C₁₃	—	4	8	no	—
441	C₂×C₄×C₁₃	—	4	4	no	—
442	C₂×C₄×C₁₃	—	8	4	no	—
443	C₂×C₄×C₁₃	—	8	4	no	—
444	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
445	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
446	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
447	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
448	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
449	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
450	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
451	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
452	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
453	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
454	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
455	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
456	#538	C₄×C₁₃	1	16	yes	complemented
457	C₂×#126	C₂²×C₁₃	1	2	yes	—
458	C₂×#124	C₂²×C₁₃	1	2	yes	—
459	C₂×#123	C₂²×C₁₃	1	2	yes	—
460	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
461	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
462	C₂×#121	C₂²×C₁₃	1	2	yes	—
463	C₂×#120	C₂²×C₁₃	1	2	yes	—
464	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
465	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
466	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
467	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
468	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
469	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
470	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
471	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
472	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
473	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
474	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
475	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
476	#391	C₂²×C₁₃	1	2	yes	complemented
477	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
478	#390	C₂²×C₁₃	1	2	yes	—
479	#390	C₂²×C₁₃	1	2	yes	—
480	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
481	#389	C₂²×C₁₃	1	2	yes	complemented
482	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
483	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
484	#388	C₂²×C₁₃	1	2	yes	—
485	#388	C₂²×C₁₃	1	2	yes	—
486	#388	C₂²×C₁₃	1	2	yes	—
487	#388	C₂²×C₁₃	1	2	yes	—
488	#388	C₂²×C₁₃	1	2	yes	—
489	#388	C₂²×C₁₃	1	2	yes	—
490	#388	C₂²×C₁₃	1	2	yes	—
491	#388	C₂²×C₁₃	1	2	yes	—
492	#388	C₂²×C₁₃	1	2	yes	complemented
493	#388	C₂²×C₁₃	1	2	yes	complemented
494	#388	C₂²×C₁₃	1	2	yes	complemented
495	#388	C₂²×C₁₃	1	2	yes	complemented
496	#387	C₂²×C₁₃	1	2	yes	complemented
497	#387	C₂²×C₁₃	1	2	yes	complemented
498	#387	C₂²×C₁₃	1	2	yes	complemented
499	#387	C₂²×C₁₃	1	2	yes	complemented
500	#387	C₂²×C₁₃	1	2	yes	complemented
501	#387	C₂²×C₁₃	1	2	yes	complemented
502	#386	C₂²×C₁₃	1	2	yes	—
503	#386	C₂²×C₁₃	1	2	yes	—
504	#386	C₂²×C₁₃	1	2	yes	—
505	#386	C₂²×C₁₃	1	2	yes	—
506	#386	C₂²×C₁₃	1	2	yes	—
507	#386	C₂²×C₁₃	1	2	yes	—
508	#386	C₂²×C₁₃	1	2	yes	complemented
509	#385	C₂²×C₁₃	1	2	yes	—
510	#385	C₂²×C₁₃	1	2	yes	—
511	#385	C₂²×C₁₃	1	2	yes	—
512	#385	C₂²×C₁₃	1	2	yes	—
513	#385	C₂²×C₁₃	1	2	yes	complemented
514	#380	C₂²×C₁₃	1	1	yes	characteristic
515	#380	C₂²×C₁₃	1	1	yes	characteristic
516	#379	C₂²×C₁₃	1	2	yes	—
517	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
518	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
519	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
520	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
521	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
522	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
523	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
524	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
525	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
526	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
527	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
528	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
529	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
530	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
531	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
532	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
533	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
534	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
535	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
536	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
537	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
538	#376	C₂²×C₁₃	1	2	yes	complemented
539	#376	C₂²×C₁₃	1	2	yes	complemented
540	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
541	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
542	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
543	C₂²×C₁₃	—	2	2	no	—
544	C₂²×C₁₃	—	2	2	no	—
545	C₂²×C₁₃	—	2	2	no	—
546	C₂²×C₁₃	—	2	2	no	—
547	C₂²×C₁₃	—	2	2	no	—
548	C₂²×C₁₃	—	2	2	no	—
549	C₂²×C₁₃	—	2	4	no	—
550	C₂²×C₁₃	—	2	4	no	—
551	C₂²×C₁₃	—	2	4	no	—
552	C₂²×C₁₃	—	2	4	no	—
553	C₂²×C₁₃	—	2	4	no	—
554	C₂²×C₁₃	—	2	4	no	—
555	C₂²×C₁₃	—	4	16	no	—
556	C₂²×C₁₃	—	4	2	no	—
557	C₂²×C₁₃	—	4	2	no	—
558	C₂²×C₁₃	—	4	2	no	—
559	C₂²×C₁₃	—	4	2	no	—
560	C₂²×C₁₃	—	4	2	no	—
561	C₂²×C₁₃	—	4	2	no	—
562	C₂²×C₁₃	—	4	2	no	—
563	C₂²×C₁₃	—	4	2	no	—
564	C₂²×C₁₃	C₄×#41	1	4	yes	—
565	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
566	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
567	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
568	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
569	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
570	C₂²×C₁₃	#585	1	1	yes	characteristic
571	C₂²×C₁₃	#585	1	1	yes	characteristic
572	C₄×C₁₃	—	2	4	no	—
573	C₄×C₁₃	—	2	4	no	—
574	C₄×C₁₃	—	2	2	no	—
575	C₄×C₁₃	—	2	4	no	—
576	C₄×C₁₃	—	2	2	no	—
577	C₄×C₁₃	—	2	4	no	—
578	C₄×C₁₃	—	2	2	no	—
579	C₄×C₁₃	—	2	2	no	—
580	C₄×C₁₃	—	2	4	no	—
581	C₄×C₁₃	—	2	2	no	—
582	C₄×C₁₃	—	2	2	no	—
583	C₄×C₁₃	—	4	2	no	—
584	C₄×C₁₃	—	4	2	no	—
585	C₄×C₁₃	—	4	2	no	—
586	C₄×C₁₃	—	4	2	no	—
587	C₄×C₁₃	—	4	2	no	—
588	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
589	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
590	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
591	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
592	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
593	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
594	C₂³×C₄	—	2	4	no	—
595	C₂³×C₄	—	4	2	no	—
596	C₂³×C₄	—	4	2	no	—
597	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
598	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
599	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
600	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
601	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
602	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
603	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
604	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
605	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
606	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
607	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
608	#126	C₂×C₄×C₁₃	1	16	yes	complemented
609	#124	C₂×C₄×C₁₃	1	16	yes	complemented
610	#123	C₂×C₄×C₁₃	1	16	yes	complemented
611	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
612	#121	C₂×C₄×C₁₃	1	16	yes	complemented
613	#121	C₂×C₄×C₁₃	1	8	yes	complemented
614	#120	C₂×C₄×C₁₃	1	16	yes	complemented
615	C₄×Q₈	—	4	2	no	—
616	C₄×D₄	—	2	8	no	—
617	C₄×D₄	—	2	8	no	—
618	C₄×D₄	—	4	2	no	—
619	C₄×D₄	—	4	4	no	—
620	C₄×D₄	—	4	4	no	—
621	C₄×D₄	C₂×C₄×C₁₃	1	16	yes	complemented
622	#117	—	4	4	no	—
623	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
624	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
625	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
626	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
627	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
628	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
629	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
630	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
631	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
632	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
633	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
634	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
635	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
636	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
637	C₂×C₂²⋊C₄	—	2	4	no	—
638	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	8	yes	complemented
639	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
640	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
641	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
642	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
643	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
644	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
645	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
646	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
647	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
648	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
649	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
650	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
651	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
652	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
653	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
654	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
655	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
656	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
657	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
658	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
660	C₂×C₄²	—	4	2	no	—
661	C₂×C₄²	—	4	2	no	—
662	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
663	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
664	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
665	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
666	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
667	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
668	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
669	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
670	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
671	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
672	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
673	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
674	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
675	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
676	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
677	#95	C₂³×C₁₃	1	2	yes	—
678	#95	C₂³×C₁₃	1	2	yes	—
679	#95	C₂³×C₁₃	1	2	yes	—
680	#95	C₂³×C₁₃	1	2	yes	—
681	#95	C₂³×C₁₃	1	2	yes	—
682	#95	C₂³×C₁₃	1	2	yes	—
683	#95	C₂³×C₁₃	1	2	yes	—
684	#95	C₂³×C₁₃	1	2	yes	—
685	#95	C₂³×C₁₃	1	2	yes	—
686	#95	C₂³×C₁₃	1	2	yes	—
687	#95	C₂³×C₁₃	1	2	yes	—
688	#95	C₂³×C₁₃	1	2	yes	—
689	#95	C₂³×C₁₃	1	2	yes	—
690	#95	C₂³×C₁₃	1	2	yes	—
691	#95	C₂³×C₁₃	1	2	yes	—
692	#95	C₂³×C₁₃	1	2	yes	—
693	#95	C₂³×C₁₃	1	2	yes	—
694	#95	C₂³×C₁₃	1	2	yes	—
695	#95	C₂³×C₁₃	1	2	yes	—
696	#95	C₂³×C₁₃	1	2	yes	—
697	C₂×C₁₃	—	2	4	no	—
698	C₂×C₁₃	—	4	4	no	—
699	C₂×C₁₃	—	4	4	no	—
700	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
701	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
702	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
703	C₂×C₁₃	#3490	1	1	yes	characteristic
704	C₂×C₁₃	#3493	1	1	yes	characteristic
705	C₂×C₁₃	#3505	1	1	yes	characteristic
706	C₂×C₁₃	#3506	1	1	yes	characteristic
707	C₂⁴	—	2	2	no	—
708	C₂⁴	—	2	2	no	—
709	C₂⁴	—	4	1	no	—
710	C₂⁴	—	4	1	no	—
711	C₂⁴	—	4	1	no	—
712	C₂⁴	—	4	1	no	—
713	C₂⁴	C₂²×C₄×C₁₃	1	4	yes	—
714	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
715	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
716	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
717	C₂×Q₈	—	4	1	no	—
718	C₂×Q₈	—	4	1	no	—
719	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	complemented
720	C₂×D₄	—	2	4	no	—
721	C₂×D₄	—	2	4	no	—
722	C₂×D₄	—	4	1	no	—
723	C₂×D₄	—	4	2	no	—
724	C₂×D₄	—	4	2	no	—
725	C₂×D₄	—	4	2	no	—
726	C₂×D₄	—	4	1	no	—
727	C₂×D₄	—	4	2	no	—
728	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
729	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
730	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
731	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	complemented
732	C₂²×C₄	—	2	2	no	—
733	C₂²×C₄	—	2	2	no	—
734	C₂²×C₄	—	2	2	no	—
735	C₂²×C₄	—	2	2	no	—
736	C₂²×C₄	—	2	4	no	—
737	C₂²×C₄	—	2	4	no	—
738	C₂²×C₄	—	2	4	no	—
739	C₂²×C₄	—	2	4	no	—
740	C₂²×C₄	—	2	4	no	—
741	C₂²×C₄	—	2	4	no	—
742	C₂²×C₄	—	4	1	no	—
743	C₂²×C₄	—	4	1	no	—
744	C₂²×C₄	—	4	1	no	—
745	C₂²×C₄	—	4	1	no	—
746	C₂²×C₄	—	4	2	no	—
747	C₂²×C₄	—	4	2	no	—
748	C₂²×C₄	—	4	2	no	—
749	C₂²×C₄	—	4	1	no	—
750	C₂²×C₄	—	4	1	no	—
751	C₂²×C₄	—	4	1	no	—
752	C₂²×C₄	—	4	1	no	—
753	C₂²×C₄	—	4	2	no	—
754	C₂²×C₄	—	4	1	no	—
755	C₂²×C₄	—	4	1	no	—
756	C₂²×C₄	—	4	2	no	—
757	C₂²×C₄	—	4	2	no	—
758	C₂²×C₄	—	4	2	no	—
759	C₂²×C₄	—	4	2	no	—
760	C₂²×C₄	—	4	16	no	—
761	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
762	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
763	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
764	C₂²×C₄	C₁₃×#41	1	4	yes	—
765	C₂²×C₄	C₁₃×#41	1	4	yes	—
766	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
767	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
768	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
769	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
770	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
771	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
772	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
773	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
774	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
775	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
776	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
777	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
779	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
780	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
781	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
782	C₄⋊C₄	—	2	4	no	—
783	C₄⋊C₄	—	2	4	no	—
784	C₄⋊C₄	—	2	4	no	—
785	C₄⋊C₄	—	2	4	no	—
786	C₄⋊C₄	—	4	2	no	—
787	C₄⋊C₄	—	4	1	no	—
788	C₄⋊C₄	—	4	1	no	—
789	C₄⋊C₄	—	4	1	no	—
790	C₄⋊C₄	—	4	1	no	—
791	C₄⋊C₄	—	4	2	no	—
792	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
793	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
794	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
795	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
796	C₂²⋊C₄	—	2	4	no	—
797	C₂²⋊C₄	—	2	4	no	—
798	C₂²⋊C₄	—	2	4	no	—
799	C₂²⋊C₄	—	2	4	no	—
800	C₂²⋊C₄	—	2	4	no	—
801	C₂²⋊C₄	—	2	4	no	—
802	C₂²⋊C₄	—	2	4	no	—
803	C₂²⋊C₄	—	2	4	no	—
804	C₂²⋊C₄	—	4	2	no	—
805	C₂²⋊C₄	—	4	2	no	—
806	C₂²⋊C₄	—	4	2	no	—
807	C₂²⋊C₄	—	4	2	no	—
808	C₂²⋊C₄	—	4	2	no	—
809	C₂²⋊C₄	—	4	2	no	—
810	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
811	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
812	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
813	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
814	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
815	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
816	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
817	C₄²	—	2	4	no	—
818	C₄²	—	2	4	no	—
819	C₄²	—	2	4	no	—
820	C₄²	—	2	2	no	—
821	C₄²	—	2	2	no	—
822	C₄²	—	4	1	no	—
823	C₄²	—	4	2	no	—
824	C₄²	—	4	1	no	—
825	C₄²	—	4	2	no	—
826	C₄²	—	4	2	no	—
827	C₄²	—	4	2	no	—
828	C₄²	—	4	2	no	—
829	C₄²	—	4	2	no	—
830	C₄²	—	4	2	no	—
831	C₄²	C₂²×C₄×C₁₃	1	8	yes	complemented
832	C₁₃	#34277	1	1	yes	characteristic, direct product factor, Sylow
833	C₂³	—	2	1	no	—
834	C₂³	—	2	1	no	—
835	C₂³	—	2	1	no	—
836	C₂³	—	2	1	no	—
837	C₂³	—	2	8	no	—
838	C₂³	—	2	2	no	—
839	C₂³	—	2	2	no	—
840	C₂³	—	2	2	no	—
841	C₂³	—	2	2	no	—
842	C₂³	—	2	2	no	—
843	C₂³	—	2	2	no	—
844	C₂³	—	2	2	no	—
845	C₂³	—	2	2	no	—
846	C₂³	—	2	2	no	—
847	C₂³	—	2	2	no	—
848	C₂³	—	2	2	no	—
849	C₂³	—	2	2	no	—
850	C₂³	—	4	4	no	—
851	C₂³	—	4	4	no	—
852	C₂³	—	4	4	no	—
853	C₂³	—	4	4	no	—
854	C₂³	—	4	4	no	—
855	C₂³	—	4	4	no	—
856	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
857	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
858	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
859	C₂³	C₂×C₁₃×#41	1	2	yes	—
860	C₂³	C₂×C₁₃×#41	1	2	yes	—
861	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
862	Q₈	—	4	4	no	—
863	D₄	—	2	16	no	—
864	D₄	—	4	8	no	—
865	D₄	—	4	8	no	—
866	D₄	—	4	4	no	—
867	C₂×C₄	—	2	8	no	—
868	C₂×C₄	—	2	2	no	—
869	C₂×C₄	—	2	2	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	2	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	2	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	2	no	—
881	C₂×C₄	—	2	2	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	2	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	4	4	no	—
906	C₂×C₄	—	4	4	no	—
907	C₂×C₄	—	4	4	no	—
908	C₂×C₄	—	4	8	no	—
909	C₂×C₄	—	4	4	no	—
910	C₂×C₄	—	4	8	no	—
911	C₂×C₄	—	4	8	no	—
912	C₂×C₄	—	4	4	no	—
913	C₂×C₄	—	8	4	no	—
914	C₂×C₄	—	8	4	no	—
915	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
916	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
917	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
918	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
919	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
920	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
921	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
922	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
923	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
924	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
925	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
926	C₂²	—	2	2	no	—
927	C₂²	—	2	2	no	—
928	C₂²	—	2	2	no	—
929	C₂²	—	2	2	no	—
930	C₂²	—	2	2	no	—
931	C₂²	—	2	2	no	—
932	C₂²	—	2	4	no	—
933	C₂²	—	2	4	no	—
934	C₂²	—	2	4	no	—
935	C₂²	—	2	4	no	—
936	C₂²	—	2	4	no	—
937	C₂²	—	2	4	no	—
938	C₂²	—	4	16	no	—
939	C₂²	—	4	2	no	—
940	C₂²	—	4	2	no	—
941	C₂²	—	4	2	no	—
942	C₂²	—	4	2	no	—
943	C₂²	—	4	2	no	—
944	C₂²	—	4	2	no	—
945	C₂²	—	4	2	no	—
946	C₂²	—	4	2	no	—
947	C₂²	C₄×C₁₃×#41	1	4	yes	—
948	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
949	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
950	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
951	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
952	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
953	C₂²	C₁₃×#585	1	1	yes	characteristic
954	C₂²	C₁₃×#585	1	1	yes	characteristic
955	C₄	—	2	4	no	—
956	C₄	—	2	4	no	—
957	C₄	—	2	2	no	—
958	C₄	—	2	4	no	—
959	C₄	—	2	2	no	—
960	C₄	—	2	4	no	—
961	C₄	—	2	2	no	—
962	C₄	—	2	2	no	—
963	C₄	—	2	4	no	—
964	C₄	—	2	2	no	—
965	C₄	—	2	2	no	—
966	C₄	—	4	2	no	—
967	C₄	—	4	2	no	—
968	C₄	—	4	2	no	—
969	C₄	—	4	2	no	—
970	C₄	—	4	2	no	—
971	C₂	—	2	4	no	—
972	C₂	—	4	4	no	—
973	C₂	—	4	4	no	—
974	C₂	C₂×C₄×C₁₃×#41	1	1	yes	characteristic
975	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
976	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
977	C₂	C₁₃×#3490	1	1	yes	characteristic
978	C₂	C₁₃×#3493	1	1	yes	characteristic
979	C₂	C₁₃×#3505	1	1	yes	characteristic
980	C₂	C₁₃×#3506	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×#538	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×#2374	C₂	semidirect
3. C₁₃×#2373	C₂	semidirect
4. C₁₃×#2373	C₂	semidirect
5. C₁₃×#2372	C₂	semidirect
6. C₁₃×#2367	C₂	semidirect
7. C₁₃×#2364	C₂	semidirect
8. C₁₃×#2363	C₂	semidirect
9. C₁₃×#2359	C₂	semidirect
10. C₁₃×#2329	C₂	semidirect
11. C₁₃×#2325	C₂	semidirect
12. C₁₃×#2321	C₂	semidirect
13. C₁₃×#2312	C₂	semidirect
14. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
15. C₄×C₁₃×#121	C₂	semidirect
16. C₄×C₁₃×#120	C₂	semidirect
17. C₁₃×#2290	C₂	semidirect
18. C₁₃×#2275	C₂	semidirect
19. C₂×C₄×C₁₃×C₂²⋊C₄	C₂	semidirect
21. C₁₃×#538	C₄	semidirect
29. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
35. C₂×C₄×D₄×C₁₃	C₂²	semidirect
36. C₂×C₁₃×#117	C₂²	semidirect
41. C₁₃×#391	C₂²	semidirect
42. C₁₃×#391	C₂²	semidirect
45. C₁₃×#390	C₂²	semidirect
46. C₁₃×#389	C₂²	semidirect
47. C₁₃×#389	C₂²	semidirect
48. C₁₃×#389	C₂²	semidirect
57. C₁₃×#388	C₂²	semidirect
58. C₁₃×#388	C₂²	semidirect
59. C₁₃×#388	C₂²	semidirect
60. C₁₃×#388	C₂²	semidirect
61. C₁₃×#387	C₂²	semidirect
62. C₁₃×#387	C₂²	semidirect
63. C₁₃×#387	C₂²	semidirect
64. C₁₃×#387	C₂²	semidirect
65. C₁₃×#387	C₂²	semidirect
66. C₁₃×#387	C₂²	semidirect
73. C₁₃×#386	C₂²	semidirect
78. C₁₃×#385	C₂²	semidirect
82. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
83. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
84. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
85. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
86. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
87. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
88. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
98. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
99. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
100. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
101. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
102. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
103. C₁₃×#376	C₂²	semidirect
104. C₁₃×#376	C₂²	semidirect
107. C₂×C₁₃×#95	C₂²	semidirect
128. C₁₃×#126	C₂×C₄	semidirect
129. C₁₃×#124	C₂×C₄	semidirect
130. C₁₃×#123	C₂×C₄	semidirect
131. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
132. C₁₃×#121	C₂×C₄	semidirect
133. C₁₃×#121	C₂×C₄	semidirect
134. C₁₃×#120	C₂×C₄	semidirect
141. C₄×D₄×C₁₃	C₂×C₄	semidirect
158. C₂×C₁₃×C₂²⋊C₄	C₂×C₄	semidirect
217. #34277	C₁₃	direct (N × H)
230. C₂×Q₈×C₁₃	C₂²×C₄	semidirect
242. C₂×D₄×C₁₃	C₂²×C₄	semidirect
274. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
303. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
304. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
305. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
306. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
326. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
327. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
342. C₄²×C₁₃	C₂²×C₄	semidirect
344. #2374	C₂×C₁₃	semidirect
345. #2373	C₂×C₁₃	semidirect
346. #2373	C₂×C₁₃	semidirect
347. #2372	C₂×C₁₃	semidirect
348. #2367	C₂×C₁₃	semidirect
349. #2364	C₂×C₁₃	semidirect
350. #2363	C₂×C₁₃	semidirect
351. #2359	C₂×C₁₃	semidirect
352. #2329	C₂×C₁₃	semidirect
353. #2325	C₂×C₁₃	semidirect
354. #2321	C₂×C₁₃	semidirect
355. #2312	C₂×C₁₃	semidirect
356. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
357. C₄×#121	C₂×C₁₃	semidirect
358. C₄×#120	C₂×C₁₃	semidirect
359. #2290	C₂×C₁₃	semidirect
360. #2275	C₂×C₁₃	semidirect
361. C₂×C₄×C₂²⋊C₄	C₂×C₁₃	semidirect
456. #538	C₄×C₁₃	semidirect
464. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
470. C₂×C₄×D₄	C₂²×C₁₃	semidirect
471. C₂×#117	C₂²×C₁₃	semidirect
476. #391	C₂²×C₁₃	semidirect
477. #391	C₂²×C₁₃	semidirect
480. #390	C₂²×C₁₃	semidirect
481. #389	C₂²×C₁₃	semidirect
482. #389	C₂²×C₁₃	semidirect
483. #389	C₂²×C₁₃	semidirect
492. #388	C₂²×C₁₃	semidirect
493. #388	C₂²×C₁₃	semidirect
494. #388	C₂²×C₁₃	semidirect
495. #388	C₂²×C₁₃	semidirect
496. #387	C₂²×C₁₃	semidirect
497. #387	C₂²×C₁₃	semidirect
498. #387	C₂²×C₁₃	semidirect
499. #387	C₂²×C₁₃	semidirect
500. #387	C₂²×C₁₃	semidirect
501. #387	C₂²×C₁₃	semidirect
508. #386	C₂²×C₁₃	semidirect
513. #385	C₂²×C₁₃	semidirect
517. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
518. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
519. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
520. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
521. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
522. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
523. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
533. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
534. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
535. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
536. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
537. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
538. #376	C₂²×C₁₃	semidirect
539. #376	C₂²×C₁₃	semidirect
542. C₂×#95	C₂²×C₁₃	semidirect
608. #126	C₂×C₄×C₁₃	semidirect
609. #124	C₂×C₄×C₁₃	semidirect
610. #123	C₂×C₄×C₁₃	semidirect
611. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
612. #121	C₂×C₄×C₁₃	semidirect
613. #121	C₂×C₄×C₁₃	semidirect
614. #120	C₂×C₄×C₁₃	semidirect
621. C₄×D₄	C₂×C₄×C₁₃	semidirect
638. C₂×C₂²⋊C₄	C₂×C₄×C₁₃	semidirect
719. C₂×Q₈	C₂²×C₄×C₁₃	semidirect
731. C₂×D₄	C₂²×C₄×C₁₃	semidirect
763. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
792. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
793. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
794. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
795. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
815. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
816. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
831. C₄²	C₂²×C₄×C₁₃	semidirect
832. C₁₃	#34277	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×#538	2
C₁₃×#2374	2
C₁₃×#2373	2
C₁₃×#2372	2
C₁₃×#2367	2
C₁₃×#2364	2
C₁₃×#2363	2
C₁₃×#2359	2
C₁₃×#2329	2
C₁₃×#2325	2
C₁₃×#2321	2
C₁₃×#2312	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#121	2
C₄×C₁₃×#120	2
C₁₃×#2290	2
C₁₃×#2275	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
#34277	13

Subgroups — C13×#34277 #15720616

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34277 #15720616