Subgroups — C₁₃×#34290 #15720629

Order 3328.

3960 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2364	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2358	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2358	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2349	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₁₃×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
13	D₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2328	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2325	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
19	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×#120	C₂	1	2	yes	maximal, complemented
21	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#386	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃	C₂²	1	2	yes	—
27	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	complemented
28	D₄²×C₁₃	C₄	1	16	yes	complemented
29	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#121	C₂²	1	2	yes	—
33	C₂×C₁₃×#120	C₂²	1	2	yes	—
34	C₂×C₁₃×#120	C₂²	1	2	yes	—
35	C₁₃×#518	—	2	8	no	—
36	C₂×C₄×D₄×C₁₃	—	2	8	no	—
37	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
48	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
52	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
53	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
54	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
58	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
59	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
60	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
61	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
62	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#390	C₂²	1	2	yes	complemented
65	C₁₃×#390	C₂²	1	2	yes	complemented
66	C₁₃×#390	C₂²	1	2	yes	complemented
67	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#388	C₂²	1	2	yes	complemented
75	C₁₃×#388	C₂²	1	2	yes	complemented
76	C₁₃×#388	C₂²	1	2	yes	complemented
77	C₁₃×#388	C₂²	1	2	yes	complemented
78	C₁₃×#388	C₂²	1	2	yes	complemented
79	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#387	C₂²	1	2	yes	complemented
82	C₁₃×#386	C₂²	1	1	yes	characteristic
83	C₁₃×#386	C₂²	1	2	yes	—
84	C₁₃×#386	C₂²	1	1	yes	characteristic
85	C₁₃×#386	C₂²	1	2	yes	complemented
86	C₁₃×#386	C₂²	1	2	yes	complemented
87	C₁₃×#386	C₂²	1	2	yes	complemented
88	C₁₃×#386	C₂²	1	2	yes	complemented
89	C₁₃×#386	C₂²	1	2	yes	complemented
90	C₁₃×#386	C₂²	1	2	yes	complemented
91	C₁₃×#386	C₂²	1	2	yes	complemented
92	C₁₃×#386	C₂²	1	2	yes	complemented
93	C₁₃×#386	C₂²	1	2	yes	complemented
94	C₁₃×#386	C₂²	1	2	yes	complemented
95	C₁₃×#386	C₂²	1	2	yes	complemented
96	C₁₃×#386	C₂²	1	2	yes	complemented
97	C₁₃×#386	C₂²	1	2	yes	complemented
98	C₁₃×#386	C₂²	1	2	yes	complemented
99	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#385	C₂²	1	2	yes	complemented
102	C₁₃×#385	C₂²	1	2	yes	complemented
103	C₁₃×#385	C₂²	1	2	yes	complemented
104	C₁₃×#385	C₂²	1	2	yes	complemented
105	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#380	C₂²	1	2	yes	complemented
109	C₁₃×#379	C₂²	1	2	yes	complemented
110	C₁₃×#379	C₂²	1	2	yes	complemented
111	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
123	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
125	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
126	C₂⁵×C₁₃	C₂³	1	2	yes	—
127	C₂⁵×C₁₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃	—	2	4	no	—
129	C₂²×D₄×C₁₃	—	2	4	no	—
130	C₂²×D₄×C₁₃	—	2	4	no	—
131	C₂²×D₄×C₁₃	—	2	4	no	—
132	C₂²×D₄×C₁₃	—	4	4	no	—
133	C₂²×D₄×C₁₃	—	4	4	no	—
134	C₂²×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
135	C₂²×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
136	C₂²×D₄×C₁₃	C₂×C₄	1	16	yes	complemented
137	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
142	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃	—	2	8	no	—
148	C₂³×C₄×C₁₃	—	4	4	no	—
149	C₂³×C₄×C₁₃	—	4	4	no	—
150	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
152	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
158	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
159	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
160	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
161	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
162	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
164	C₁₃×#127	C₂×C₄	1	8	yes	complemented
165	C₁₃×#121	C₂×C₄	1	8	yes	complemented
166	C₁₃×#121	C₂×C₄	1	8	yes	complemented
167	C₁₃×#121	C₂×C₄	1	16	yes	complemented
168	C₁₃×#120	C₂×C₄	1	16	yes	complemented
169	C₁₃×#120	C₂×C₄	1	16	yes	complemented
170	C₄×D₄×C₁₃	—	2	4	no	—
171	C₄×D₄×C₁₃	—	2	4	no	—
172	C₄×D₄×C₁₃	—	2	4	no	—
173	C₄×D₄×C₁₃	—	2	8	no	—
174	C₄×D₄×C₁₃	—	2	8	no	—
175	C₄×D₄×C₁₃	—	2	4	no	—
176	C₄×D₄×C₁₃	—	2	4	no	—
177	C₄×D₄×C₁₃	—	2	8	no	—
178	C₄×D₄×C₁₃	—	2	8	no	—
179	C₄×D₄×C₁₃	—	2	4	no	—
180	C₄×D₄×C₁₃	—	2	4	no	—
181	C₄×D₄×C₁₃	—	4	4	no	—
182	C₄×D₄×C₁₃	—	4	4	no	—
183	C₄×D₄×C₁₃	—	4	4	no	—
184	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
185	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
186	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
187	C₁₃×#117	—	2	4	no	—
188	C₁₃×#117	—	2	4	no	—
189	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
204	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
205	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
206	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
207	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₂×C₄²×C₁₃	—	2	4	no	—
239	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
242	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
246	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
247	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
248	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
250	C₁₃×#95	C₂³	1	1	yes	characteristic
251	C₁₃×#95	C₂³	1	1	yes	characteristic
252	C₁₃×#95	C₂³	1	1	yes	characteristic
253	C₁₃×#95	C₂³	1	2	yes	—
254	C₁₃×#95	C₂³	1	1	yes	characteristic
255	C₁₃×#95	C₂³	1	2	yes	—
256	C₁₃×#95	C₂³	1	2	yes	—
257	C₁₃×#95	C₂³	1	2	yes	—
258	C₁₃×#95	C₂³	1	2	yes	—
259	C₁₃×#95	C₂³	1	2	yes	—
260	C₁₃×#95	C₂³	1	2	yes	—
261	C₁₃×#95	C₂³	1	1	yes	characteristic
262	C₁₃×#95	C₂³	1	1	yes	characteristic
263	C₁₃×#95	C₂³	1	1	yes	characteristic
264	C₁₃×#95	C₂³	1	1	yes	characteristic
265	C₁₃×#95	C₂³	1	1	yes	characteristic
266	C₁₃×#95	C₂³	1	2	yes	—
267	C₁₃×#95	C₂³	1	2	yes	—
268	C₁₃×#95	C₂³	1	1	yes	characteristic
269	#34290	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
270	C₂⁴×C₁₃	—	2	4	no	—
271	C₂⁴×C₁₃	—	2	4	no	—
272	C₂⁴×C₁₃	—	2	4	no	—
273	C₂⁴×C₁₃	—	2	4	no	—
274	C₂⁴×C₁₃	—	2	4	no	—
275	C₂⁴×C₁₃	—	2	4	no	—
276	C₂⁴×C₁₃	—	4	2	no	—
277	C₂⁴×C₁₃	—	4	2	no	—
278	C₂⁴×C₁₃	—	4	2	no	—
279	C₂⁴×C₁₃	—	4	2	no	—
280	C₂⁴×C₁₃	—	4	2	no	—
281	C₂⁴×C₁₃	—	4	2	no	—
282	C₂⁴×C₁₃	C₂²×C₄	1	8	yes	—
283	C₂⁴×C₁₃	C₂²×C₄	1	8	yes	complemented
284	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
285	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
286	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
287	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
288	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
289	C₂×D₄×C₁₃	—	2	4	no	—
290	C₂×D₄×C₁₃	—	2	4	no	—
291	C₂×D₄×C₁₃	—	2	4	no	—
292	C₂×D₄×C₁₃	—	2	4	no	—
293	C₂×D₄×C₁₃	—	2	4	no	—
294	C₂×D₄×C₁₃	—	2	4	no	—
295	C₂×D₄×C₁₃	—	2	2	no	—
296	C₂×D₄×C₁₃	—	2	2	no	—
297	C₂×D₄×C₁₃	—	2	32	no	—
298	C₂×D₄×C₁₃	—	2	32	no	—
299	C₂×D₄×C₁₃	—	2	2	no	—
300	C₂×D₄×C₁₃	—	2	2	no	—
301	C₂×D₄×C₁₃	—	2	2	no	—
302	C₂×D₄×C₁₃	—	2	2	no	—
303	C₂×D₄×C₁₃	—	4	2	no	—
304	C₂×D₄×C₁₃	—	4	2	no	—
305	C₂×D₄×C₁₃	—	4	2	no	—
306	C₂×D₄×C₁₃	—	4	2	no	—
307	C₂×D₄×C₁₃	—	4	2	no	—
308	C₂×D₄×C₁₃	—	4	2	no	—
309	C₂×D₄×C₁₃	—	4	32	no	—
310	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
311	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
312	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
313	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
314	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
315	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
316	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	complemented
317	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
318	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
319	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
320	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
321	C₂×D₄×C₁₃	#41	1	4	yes	—
322	C₂²×C₄×C₁₃	—	2	2	no	—
323	C₂²×C₄×C₁₃	—	2	2	no	—
324	C₂²×C₄×C₁₃	—	2	2	no	—
325	C₂²×C₄×C₁₃	—	2	2	no	—
326	C₂²×C₄×C₁₃	—	2	2	no	—
327	C₂²×C₄×C₁₃	—	2	2	no	—
328	C₂²×C₄×C₁₃	—	2	2	no	—
329	C₂²×C₄×C₁₃	—	2	4	no	—
330	C₂²×C₄×C₁₃	—	2	2	no	—
331	C₂²×C₄×C₁₃	—	2	4	no	—
332	C₂²×C₄×C₁₃	—	2	4	no	—
333	C₂²×C₄×C₁₃	—	2	4	no	—
334	C₂²×C₄×C₁₃	—	2	2	no	—
335	C₂²×C₄×C₁₃	—	2	4	no	—
336	C₂²×C₄×C₁₃	—	2	4	no	—
337	C₂²×C₄×C₁₃	—	2	4	no	—
338	C₂²×C₄×C₁₃	—	2	4	no	—
339	C₂²×C₄×C₁₃	—	2	4	no	—
340	C₂²×C₄×C₁₃	—	2	4	no	—
341	C₂²×C₄×C₁₃	—	2	4	no	—
342	C₂²×C₄×C₁₃	—	4	2	no	—
343	C₂²×C₄×C₁₃	—	4	2	no	—
344	C₂²×C₄×C₁₃	—	4	2	no	—
345	C₂²×C₄×C₁₃	—	4	2	no	—
346	C₂²×C₄×C₁₃	—	4	2	no	—
347	C₂²×C₄×C₁₃	—	4	2	no	—
348	C₂²×C₄×C₁₃	—	4	2	no	—
349	C₂²×C₄×C₁₃	—	4	1	no	—
350	C₂²×C₄×C₁₃	—	4	2	no	—
351	C₂²×C₄×C₁₃	—	4	2	no	—
352	C₂²×C₄×C₁₃	—	4	2	no	—
353	C₂²×C₄×C₁₃	—	4	2	no	—
354	C₂²×C₄×C₁₃	—	4	2	no	—
355	C₂²×C₄×C₁₃	—	4	2	no	—
356	C₂²×C₄×C₁₃	—	4	2	no	—
357	C₂²×C₄×C₁₃	—	4	2	no	—
358	C₂²×C₄×C₁₃	—	4	2	no	—
359	C₂²×C₄×C₁₃	—	4	2	no	—
360	C₂²×C₄×C₁₃	—	4	32	no	—
361	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
362	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	complemented
363	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
364	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	complemented
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
368	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₁₃×C₄⋊C₄	—	2	4	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	4	1	no	—
391	C₁₃×C₄⋊C₄	—	4	2	no	—
392	C₁₃×C₄⋊C₄	—	4	2	no	—
393	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
394	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
395	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	complemented
396	C₁₃×C₂²⋊C₄	—	2	4	no	—
397	C₁₃×C₂²⋊C₄	—	2	4	no	—
398	C₁₃×C₂²⋊C₄	—	2	4	no	—
399	C₁₃×C₂²⋊C₄	—	2	2	no	—
400	C₁₃×C₂²⋊C₄	—	2	4	no	—
401	C₁₃×C₂²⋊C₄	—	2	2	no	—
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	2	no	—
404	C₁₃×C₂²⋊C₄	—	2	4	no	—
405	C₁₃×C₂²⋊C₄	—	2	4	no	—
406	C₁₃×C₂²⋊C₄	—	2	4	no	—
407	C₁₃×C₂²⋊C₄	—	2	4	no	—
408	C₁₃×C₂²⋊C₄	—	2	4	no	—
409	C₁₃×C₂²⋊C₄	—	2	2	no	—
410	C₁₃×C₂²⋊C₄	—	2	4	no	—
411	C₁₃×C₂²⋊C₄	—	4	2	no	—
412	C₁₃×C₂²⋊C₄	—	4	2	no	—
413	C₁₃×C₂²⋊C₄	—	4	2	no	—
414	C₁₃×C₂²⋊C₄	—	4	2	no	—
415	C₁₃×C₂²⋊C₄	—	4	1	no	—
416	C₁₃×C₂²⋊C₄	—	4	2	no	—
417	C₁₃×C₂²⋊C₄	—	4	2	no	—
418	C₁₃×C₂²⋊C₄	—	4	2	no	—
419	C₁₃×C₂²⋊C₄	—	4	2	no	—
420	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
421	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
422	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
423	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
424	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
425	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
426	C₄²×C₁₃	—	2	2	no	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	—	2	2	no	—
429	C₄²×C₁₃	—	2	4	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	2	no	—
432	C₄²×C₁₃	—	4	2	no	—
433	C₄²×C₁₃	—	4	2	no	—
434	C₄²×C₁₃	—	4	2	no	—
435	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
436	C₄²×C₁₃	C₂×D₄	1	4	yes	complemented
437	C₂×D₄²	C₂×C₁₃	1	1	yes	characteristic
438	C₂×#518	C₂×C₁₃	1	1	yes	characteristic, complemented
439	C₂²×C₄×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
440	#2366	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#2364	C₂×C₁₃	1	2	yes	complemented
442	#2363	C₂×C₁₃	1	1	yes	characteristic, complemented
443	#2361	C₂×C₁₃	1	1	yes	characteristic, complemented
444	#2358	C₂×C₁₃	1	2	yes	complemented
445	#2358	C₂×C₁₃	1	2	yes	complemented
446	#2352	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#2349	C₂×C₁₃	1	1	yes	characteristic, complemented
448	D₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
449	D₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
450	D₄×C₂²⋊C₄	C₂×C₁₃	1	2	yes	complemented
451	#2328	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#2325	C₂×C₁₃	1	2	yes	complemented
453	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#2321	C₂×C₁₃	1	2	yes	complemented
455	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
456	C₄×#120	C₂×C₁₃	1	2	yes	complemented
457	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
458	C₂×#386	C₂×C₁₃	1	2	yes	complemented
459	#2275	C₂×C₁₃	1	1	yes	characteristic, complemented
460	C₂³×C₁₃	—	2	1	no	—
461	C₂³×C₁₃	—	2	1	no	—
462	C₂³×C₁₃	—	2	1	no	—
463	C₂³×C₁₃	—	2	2	no	—
464	C₂³×C₁₃	—	2	2	no	—
465	C₂³×C₁₃	—	2	2	no	—
466	C₂³×C₁₃	—	2	1	no	—
467	C₂³×C₁₃	—	2	2	no	—
468	C₂³×C₁₃	—	2	16	no	—
469	C₂³×C₁₃	—	2	16	no	—
470	C₂³×C₁₃	—	2	1	no	—
471	C₂³×C₁₃	—	2	2	no	—
472	C₂³×C₁₃	—	2	2	no	—
473	C₂³×C₁₃	—	2	1	no	—
474	C₂³×C₁₃	—	2	2	no	—
475	C₂³×C₁₃	—	2	2	no	—
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	2	no	—
478	C₂³×C₁₃	—	2	2	no	—
479	C₂³×C₁₃	—	2	2	no	—
480	C₂³×C₁₃	—	2	2	no	—
481	C₂³×C₁₃	—	2	2	no	—
482	C₂³×C₁₃	—	2	2	no	—
483	C₂³×C₁₃	—	2	1	no	—
484	C₂³×C₁₃	—	2	1	no	—
485	C₂³×C₁₃	—	2	2	no	—
486	C₂³×C₁₃	—	2	1	no	—
487	C₂³×C₁₃	—	2	2	no	—
488	C₂³×C₁₃	—	2	16	no	—
489	C₂³×C₁₃	—	4	8	no	—
490	C₂³×C₁₃	—	4	8	no	—
491	C₂³×C₁₃	—	4	8	no	—
492	C₂³×C₁₃	—	4	8	no	—
493	C₂³×C₁₃	—	4	8	no	—
494	C₂³×C₁₃	—	4	8	no	—
495	C₂³×C₁₃	—	4	8	no	—
496	C₂³×C₁₃	—	8	4	no	—
497	C₂³×C₁₃	—	8	4	no	—
498	C₂³×C₁₃	—	8	4	no	—
499	C₂³×C₁₃	—	8	4	no	—
500	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
501	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
502	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
503	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
504	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
505	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
506	C₂³×C₁₃	C₂×#41	1	4	yes	—
507	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
508	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
509	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
510	D₄×C₁₃	—	2	16	no	—
511	D₄×C₁₃	—	2	16	no	—
512	D₄×C₁₃	—	2	8	no	—
513	D₄×C₁₃	—	2	16	no	—
514	D₄×C₁₃	—	2	8	no	—
515	D₄×C₁₃	—	2	8	no	—
516	D₄×C₁₃	—	4	8	no	—
517	D₄×C₁₃	—	4	8	no	—
518	D₄×C₁₃	—	4	8	no	—
519	D₄×C₁₃	C₄×D₄	1	16	yes	complemented
520	C₂×C₄×C₁₃	—	2	8	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	2	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	2	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	1	no	—
537	C₂×C₄×C₁₃	—	2	1	no	—
538	C₂×C₄×C₁₃	—	2	1	no	—
539	C₂×C₄×C₁₃	—	2	8	no	—
540	C₂×C₄×C₁₃	—	2	8	no	—
541	C₂×C₄×C₁₃	—	2	1	no	—
542	C₂×C₄×C₁₃	—	2	1	no	—
543	C₂×C₄×C₁₃	—	2	2	no	—
544	C₂×C₄×C₁₃	—	2	1	no	—
545	C₂×C₄×C₁₃	—	2	2	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	—	2	1	no	—
548	C₂×C₄×C₁₃	—	2	2	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	2	no	—
551	C₂×C₄×C₁₃	—	2	2	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	2	no	—
560	C₂×C₄×C₁₃	—	2	2	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	2	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	4	8	no	—
566	C₂×C₄×C₁₃	—	4	8	no	—
567	C₂×C₄×C₁₃	—	4	8	no	—
568	C₂×C₄×C₁₃	—	4	4	no	—
569	C₂×C₄×C₁₃	—	4	8	no	—
570	C₂×C₄×C₁₃	—	4	8	no	—
571	C₂×C₄×C₁₃	—	4	8	no	—
572	C₂×C₄×C₁₃	—	8	4	no	—
573	C₂×C₄×C₁₃	—	8	4	no	—
574	C₂×C₄×C₁₃	—	8	4	no	—
575	C₂×C₄×C₁₃	—	8	4	no	—
576	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
577	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
578	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
579	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
580	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
581	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
582	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
583	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
584	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
585	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
586	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
587	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
588	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
589	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
590	C₂³×D₄	C₂²×C₁₃	1	2	yes	—
591	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	complemented
592	D₄²	C₄×C₁₃	1	16	yes	complemented
593	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
594	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
595	C₂×#121	C₂²×C₁₃	1	2	yes	—
596	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
597	C₂×#120	C₂²×C₁₃	1	2	yes	—
598	C₂×#120	C₂²×C₁₃	1	2	yes	—
599	#518	—	2	8	no	—
600	C₂×C₄×D₄	—	2	8	no	—
601	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
602	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
603	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
604	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
605	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
606	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
607	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
608	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
610	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
612	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
613	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
616	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
617	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
618	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
622	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
623	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
624	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
625	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
626	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#390	C₂²×C₁₃	1	2	yes	complemented
628	#390	C₂²×C₁₃	1	2	yes	complemented
629	#390	C₂²×C₁₃	1	2	yes	complemented
630	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
636	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#388	C₂²×C₁₃	1	2	yes	complemented
638	#388	C₂²×C₁₃	1	2	yes	complemented
639	#388	C₂²×C₁₃	1	2	yes	complemented
640	#388	C₂²×C₁₃	1	2	yes	complemented
641	#388	C₂²×C₁₃	1	2	yes	complemented
642	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#387	C₂²×C₁₃	1	2	yes	complemented
645	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#386	C₂²×C₁₃	1	1	yes	characteristic
647	#386	C₂²×C₁₃	1	2	yes	—
648	#386	C₂²×C₁₃	1	1	yes	characteristic
649	#386	C₂²×C₁₃	1	2	yes	complemented
650	#386	C₂²×C₁₃	1	2	yes	complemented
651	#386	C₂²×C₁₃	1	2	yes	complemented
652	#386	C₂²×C₁₃	1	2	yes	complemented
653	#386	C₂²×C₁₃	1	2	yes	complemented
654	#386	C₂²×C₁₃	1	2	yes	complemented
655	#386	C₂²×C₁₃	1	2	yes	complemented
656	#386	C₂²×C₁₃	1	2	yes	complemented
657	#386	C₂²×C₁₃	1	2	yes	complemented
658	#386	C₂²×C₁₃	1	2	yes	complemented
659	#386	C₂²×C₁₃	1	2	yes	complemented
660	#386	C₂²×C₁₃	1	2	yes	complemented
661	#386	C₂²×C₁₃	1	2	yes	complemented
662	#386	C₂²×C₁₃	1	2	yes	complemented
663	#385	C₂²×C₁₃	1	2	yes	complemented
664	#385	C₂²×C₁₃	1	2	yes	complemented
665	#385	C₂²×C₁₃	1	2	yes	complemented
666	#385	C₂²×C₁₃	1	2	yes	complemented
667	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	#380	C₂²×C₁₃	1	2	yes	complemented
672	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	#379	C₂²×C₁₃	1	2	yes	complemented
674	#379	C₂²×C₁₃	1	2	yes	complemented
675	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
680	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
683	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
684	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
685	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
686	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
687	#376	C₂²×C₁₃	1	1	yes	characteristic, complemented
688	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
689	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
690	C₂²×C₁₃	—	2	2	no	—
691	C₂²×C₁₃	—	2	4	no	—
692	C₂²×C₁₃	—	2	2	no	—
693	C₂²×C₁₃	—	2	4	no	—
694	C₂²×C₁₃	—	2	2	no	—
695	C₂²×C₁₃	—	2	4	no	—
696	C₂²×C₁₃	—	2	2	no	—
697	C₂²×C₁₃	—	2	4	no	—
698	C₂²×C₁₃	—	2	2	no	—
699	C₂²×C₁₃	—	2	4	no	—
700	C₂²×C₁₃	—	2	4	no	—
701	C₂²×C₁₃	—	2	2	no	—
702	C₂²×C₁₃	—	2	2	no	—
703	C₂²×C₁₃	—	2	4	no	—
704	C₂²×C₁₃	—	2	4	no	—
705	C₂²×C₁₃	—	2	2	no	—
706	C₂²×C₁₃	—	2	4	no	—
707	C₂²×C₁₃	—	2	4	no	—
708	C₂²×C₁₃	—	2	4	no	—
709	C₂²×C₁₃	—	2	4	no	—
710	C₂²×C₁₃	—	2	2	no	—
711	C₂²×C₁₃	—	4	32	no	—
712	C₂²×C₁₃	—	4	2	no	—
713	C₂²×C₁₃	—	4	2	no	—
714	C₂²×C₁₃	—	4	1	no	—
715	C₂²×C₁₃	—	4	2	no	—
716	C₂²×C₁₃	—	4	2	no	—
717	C₂²×C₁₃	—	4	1	no	—
718	C₂²×C₁₃	—	4	2	no	—
719	C₂²×C₁₃	—	4	2	no	—
720	C₂²×C₁₃	—	4	1	no	—
721	C₂²×C₁₃	—	4	2	no	—
722	C₂²×C₁₃	—	4	2	no	—
723	C₂²×C₁₃	—	4	1	no	—
724	C₂²×C₁₃	—	8	16	no	—
725	C₂²×C₁₃	C₂×C₄×D₄	1	8	yes	—
726	C₂²×C₁₃	#518	1	4	yes	complemented
727	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
728	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
729	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
730	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
731	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
732	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
733	C₂²×C₁₃	#585	1	1	yes	characteristic
734	C₄×C₁₃	—	2	2	no	—
735	C₄×C₁₃	—	2	2	no	—
736	C₄×C₁₃	—	2	2	no	—
737	C₄×C₁₃	—	2	4	no	—
738	C₄×C₁₃	—	2	2	no	—
739	C₄×C₁₃	—	2	2	no	—
740	C₄×C₁₃	—	2	2	no	—
741	C₄×C₁₃	—	2	4	no	—
742	C₄×C₁₃	—	2	2	no	—
743	C₄×C₁₃	—	4	2	no	—
744	C₄×C₁₃	—	4	1	no	—
745	C₄×C₁₃	—	4	1	no	—
746	C₄×C₁₃	—	4	1	no	—
747	C₄×C₁₃	—	4	2	no	—
748	C₄×C₁₃	—	4	1	no	—
749	C₄×C₁₃	—	4	2	no	—
750	C₄×C₁₃	—	4	1	no	—
751	C₄×C₁₃	C₂×C₄×D₄	1	4	yes	—
752	C₂⁵	C₂³×C₁₃	1	2	yes	—
753	C₂⁵	C₂³×C₁₃	1	2	yes	—
754	C₂²×D₄	—	2	4	no	—
755	C₂²×D₄	—	2	4	no	—
756	C₂²×D₄	—	2	4	no	—
757	C₂²×D₄	—	2	4	no	—
758	C₂²×D₄	—	4	4	no	—
759	C₂²×D₄	—	4	4	no	—
760	C₂²×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
761	C₂²×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
762	C₂²×D₄	C₂×C₄×C₁₃	1	16	yes	complemented
763	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
764	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
765	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
766	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
768	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
769	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
770	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
771	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
772	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
773	C₂³×C₄	—	2	8	no	—
774	C₂³×C₄	—	4	4	no	—
775	C₂³×C₄	—	4	4	no	—
776	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
778	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
779	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
780	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
781	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
782	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
783	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
784	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
785	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
786	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
787	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
788	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
789	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
790	#127	C₂×C₄×C₁₃	1	8	yes	complemented
791	#121	C₂×C₄×C₁₃	1	8	yes	complemented
792	#121	C₂×C₄×C₁₃	1	8	yes	complemented
793	#121	C₂×C₄×C₁₃	1	16	yes	complemented
794	#120	C₂×C₄×C₁₃	1	16	yes	complemented
795	#120	C₂×C₄×C₁₃	1	16	yes	complemented
796	C₄×D₄	—	2	4	no	—
797	C₄×D₄	—	2	4	no	—
798	C₄×D₄	—	2	4	no	—
799	C₄×D₄	—	2	8	no	—
800	C₄×D₄	—	2	8	no	—
801	C₄×D₄	—	2	4	no	—
802	C₄×D₄	—	2	4	no	—
803	C₄×D₄	—	2	8	no	—
804	C₄×D₄	—	2	8	no	—
805	C₄×D₄	—	2	4	no	—
806	C₄×D₄	—	2	4	no	—
807	C₄×D₄	—	4	4	no	—
808	C₄×D₄	—	4	4	no	—
809	C₄×D₄	—	4	4	no	—
810	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
811	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
812	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
813	#117	—	2	4	no	—
814	#117	—	2	4	no	—
815	C₂×C₄⋊C₄	—	2	4	no	—
816	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
818	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
826	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
827	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
829	C₂×C₂²⋊C₄	—	2	8	no	—
830	C₂×C₂²⋊C₄	—	2	8	no	—
831	C₂×C₂²⋊C₄	—	2	8	no	—
832	C₂×C₂²⋊C₄	—	4	4	no	—
833	C₂×C₂²⋊C₄	—	4	4	no	—
834	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
837	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
838	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
839	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
845	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
846	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
849	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
850	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
851	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
852	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
853	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
854	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
857	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
859	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
861	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
864	C₂×C₄²	—	2	4	no	—
865	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
866	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
867	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
868	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
869	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
870	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
871	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
872	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
873	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
874	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
875	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
876	#95	C₂³×C₁₃	1	1	yes	characteristic
877	#95	C₂³×C₁₃	1	1	yes	characteristic
878	#95	C₂³×C₁₃	1	2	yes	—
879	#95	C₂³×C₁₃	1	2	yes	—
880	#95	C₂³×C₁₃	1	2	yes	—
881	#95	C₂³×C₁₃	1	2	yes	—
882	#95	C₂³×C₁₃	1	2	yes	—
883	#95	C₂³×C₁₃	1	2	yes	—
884	#95	C₂³×C₁₃	1	1	yes	characteristic
885	#95	C₂³×C₁₃	1	1	yes	characteristic
886	#95	C₂³×C₁₃	1	1	yes	characteristic
887	#95	C₂³×C₁₃	1	1	yes	characteristic
888	#95	C₂³×C₁₃	1	2	yes	—
889	#95	C₂³×C₁₃	1	2	yes	—
890	#95	C₂³×C₁₃	1	2	yes	—
891	#95	C₂³×C₁₃	1	1	yes	characteristic
892	#95	C₂³×C₁₃	1	1	yes	characteristic
893	#95	C₂³×C₁₃	1	1	yes	characteristic
894	#95	C₂³×C₁₃	1	1	yes	characteristic
895	C₂×C₁₃	—	2	4	no	—
896	C₂×C₁₃	—	2	8	no	—
897	C₂×C₁₃	—	4	4	no	—
898	C₂×C₁₃	—	4	4	no	—
899	C₂×C₁₃	—	4	2	no	—
900	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
901	C₂×C₁₃	C₂×#518	1	1	yes	characteristic
902	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
903	C₂×C₁₃	#3484	1	1	yes	characteristic
904	C₂×C₁₃	#3488	1	1	yes	characteristic
905	C₂×C₁₃	#3513	1	1	yes	characteristic
906	C₂×C₁₃	#3519	1	1	yes	characteristic
907	C₂⁴	—	2	4	no	—
908	C₂⁴	—	2	4	no	—
909	C₂⁴	—	2	4	no	—
910	C₂⁴	—	2	4	no	—
911	C₂⁴	—	2	4	no	—
912	C₂⁴	—	2	4	no	—
913	C₂⁴	—	4	2	no	—
914	C₂⁴	—	4	2	no	—
915	C₂⁴	—	4	2	no	—
916	C₂⁴	—	4	2	no	—
917	C₂⁴	—	4	2	no	—
918	C₂⁴	—	4	2	no	—
919	C₂⁴	C₂²×C₄×C₁₃	1	8	yes	—
920	C₂⁴	C₂²×C₄×C₁₃	1	8	yes	complemented
921	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
923	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
924	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
925	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₂×D₄	—	2	4	no	—
927	C₂×D₄	—	2	4	no	—
928	C₂×D₄	—	2	4	no	—
929	C₂×D₄	—	2	4	no	—
930	C₂×D₄	—	2	4	no	—
931	C₂×D₄	—	2	4	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	32	no	—
935	C₂×D₄	—	2	32	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	2	no	—
940	C₂×D₄	—	4	2	no	—
941	C₂×D₄	—	4	2	no	—
942	C₂×D₄	—	4	2	no	—
943	C₂×D₄	—	4	2	no	—
944	C₂×D₄	—	4	2	no	—
945	C₂×D₄	—	4	2	no	—
946	C₂×D₄	—	4	32	no	—
947	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
948	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
949	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
950	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
951	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
952	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
953	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	complemented
954	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
955	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
956	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
957	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
958	C₂×D₄	C₁₃×#41	1	4	yes	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	4	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	4	no	—
969	C₂²×C₄	—	2	4	no	—
970	C₂²×C₄	—	2	4	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	—	2	4	no	—
973	C₂²×C₄	—	2	4	no	—
974	C₂²×C₄	—	2	4	no	—
975	C₂²×C₄	—	2	4	no	—
976	C₂²×C₄	—	2	4	no	—
977	C₂²×C₄	—	2	4	no	—
978	C₂²×C₄	—	2	4	no	—
979	C₂²×C₄	—	4	2	no	—
980	C₂²×C₄	—	4	2	no	—
981	C₂²×C₄	—	4	2	no	—
982	C₂²×C₄	—	4	2	no	—
983	C₂²×C₄	—	4	2	no	—
984	C₂²×C₄	—	4	2	no	—
985	C₂²×C₄	—	4	2	no	—
986	C₂²×C₄	—	4	2	no	—
987	C₂²×C₄	—	4	2	no	—
988	C₂²×C₄	—	4	1	no	—
989	C₂²×C₄	—	4	2	no	—
990	C₂²×C₄	—	4	2	no	—
991	C₂²×C₄	—	4	2	no	—
992	C₂²×C₄	—	4	2	no	—
993	C₂²×C₄	—	4	2	no	—
994	C₂²×C₄	—	4	2	no	—
995	C₂²×C₄	—	4	2	no	—
996	C₂²×C₄	—	4	2	no	—
997	C₂²×C₄	—	4	32	no	—
998	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
999	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
1000	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1001	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	complemented
1002	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1005	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1007	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1008	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1012	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1015	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1018	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1020	C₄⋊C₄	—	2	4	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	2	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	2	no	—
1027	C₄⋊C₄	—	4	2	no	—
1028	C₄⋊C₄	—	4	2	no	—
1029	C₄⋊C₄	—	4	1	no	—
1030	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
1031	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
1032	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	complemented
1033	C₂²⋊C₄	—	2	4	no	—
1034	C₂²⋊C₄	—	2	4	no	—
1035	C₂²⋊C₄	—	2	4	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	4	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	4	no	—
1042	C₂²⋊C₄	—	2	4	no	—
1043	C₂²⋊C₄	—	2	4	no	—
1044	C₂²⋊C₄	—	2	4	no	—
1045	C₂²⋊C₄	—	2	4	no	—
1046	C₂²⋊C₄	—	2	2	no	—
1047	C₂²⋊C₄	—	2	4	no	—
1048	C₂²⋊C₄	—	4	2	no	—
1049	C₂²⋊C₄	—	4	2	no	—
1050	C₂²⋊C₄	—	4	2	no	—
1051	C₂²⋊C₄	—	4	2	no	—
1052	C₂²⋊C₄	—	4	2	no	—
1053	C₂²⋊C₄	—	4	2	no	—
1054	C₂²⋊C₄	—	4	2	no	—
1055	C₂²⋊C₄	—	4	1	no	—
1056	C₂²⋊C₄	—	4	2	no	—
1057	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1058	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
1059	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1060	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1061	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1062	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	complemented
1063	C₄²	—	2	2	no	—
1064	C₄²	—	2	2	no	—
1065	C₄²	—	2	2	no	—
1066	C₄²	—	2	4	no	—
1067	C₄²	—	2	2	no	—
1068	C₄²	—	2	2	no	—
1069	C₄²	—	4	2	no	—
1070	C₄²	—	4	2	no	—
1071	C₄²	—	4	2	no	—
1072	C₄²	C₂²×C₄×C₁₃	1	4	yes	complemented
1073	C₄²	C₂×D₄×C₁₃	1	4	yes	complemented
1074	C₁₃	#34290	1	1	yes	characteristic, direct product factor, Sylow
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	2	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	2	no	—
1081	C₂³	—	2	1	no	—
1082	C₂³	—	2	2	no	—
1083	C₂³	—	2	16	no	—
1084	C₂³	—	2	16	no	—
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	2	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	2	no	—
1091	C₂³	—	2	1	no	—
1092	C₂³	—	2	2	no	—
1093	C₂³	—	2	2	no	—
1094	C₂³	—	2	2	no	—
1095	C₂³	—	2	2	no	—
1096	C₂³	—	2	2	no	—
1097	C₂³	—	2	2	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	1	no	—
1100	C₂³	—	2	2	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	2	no	—
1103	C₂³	—	2	16	no	—
1104	C₂³	—	4	8	no	—
1105	C₂³	—	4	8	no	—
1106	C₂³	—	4	8	no	—
1107	C₂³	—	4	8	no	—
1108	C₂³	—	4	8	no	—
1109	C₂³	—	4	8	no	—
1110	C₂³	—	4	8	no	—
1111	C₂³	—	8	4	no	—
1112	C₂³	—	8	4	no	—
1113	C₂³	—	8	4	no	—
1114	C₂³	—	8	4	no	—
1115	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1116	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
1117	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
1118	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
1119	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1120	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
1121	C₂³	C₂×C₁₃×#41	1	4	yes	—
1122	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1123	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1124	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1125	D₄	—	2	16	no	—
1126	D₄	—	2	16	no	—
1127	D₄	—	2	8	no	—
1128	D₄	—	2	16	no	—
1129	D₄	—	2	8	no	—
1130	D₄	—	2	8	no	—
1131	D₄	—	4	8	no	—
1132	D₄	—	4	8	no	—
1133	D₄	—	4	8	no	—
1134	D₄	C₄×D₄×C₁₃	1	16	yes	complemented
1135	C₂×C₄	—	2	8	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	8	no	—
1155	C₂×C₄	—	2	8	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	2	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	2	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	4	8	no	—
1181	C₂×C₄	—	4	8	no	—
1182	C₂×C₄	—	4	8	no	—
1183	C₂×C₄	—	4	8	no	—
1184	C₂×C₄	—	4	8	no	—
1185	C₂×C₄	—	4	4	no	—
1186	C₂×C₄	—	4	8	no	—
1187	C₂×C₄	—	8	4	no	—
1188	C₂×C₄	—	8	4	no	—
1189	C₂×C₄	—	8	4	no	—
1190	C₂×C₄	—	8	4	no	—
1191	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1192	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1193	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1194	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1195	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
1196	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1197	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1198	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1199	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1200	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1201	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1202	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1203	C₂²	—	2	4	no	—
1204	C₂²	—	2	2	no	—
1205	C₂²	—	2	2	no	—
1206	C₂²	—	2	4	no	—
1207	C₂²	—	2	2	no	—
1208	C₂²	—	2	4	no	—
1209	C₂²	—	2	2	no	—
1210	C₂²	—	2	4	no	—
1211	C₂²	—	2	2	no	—
1212	C₂²	—	2	4	no	—
1213	C₂²	—	2	2	no	—
1214	C₂²	—	2	4	no	—
1215	C₂²	—	2	2	no	—
1216	C₂²	—	2	4	no	—
1217	C₂²	—	2	4	no	—
1218	C₂²	—	2	2	no	—
1219	C₂²	—	2	4	no	—
1220	C₂²	—	2	4	no	—
1221	C₂²	—	2	4	no	—
1222	C₂²	—	2	4	no	—
1223	C₂²	—	2	2	no	—
1224	C₂²	—	4	32	no	—
1225	C₂²	—	4	2	no	—
1226	C₂²	—	4	2	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	2	no	—
1229	C₂²	—	4	2	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	2	no	—
1232	C₂²	—	4	2	no	—
1233	C₂²	—	4	1	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	2	no	—
1236	C₂²	—	4	1	no	—
1237	C₂²	—	8	16	no	—
1238	C₂²	C₂×C₄×D₄×C₁₃	1	8	yes	—
1239	C₂²	C₁₃×#518	1	4	yes	complemented
1240	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1241	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1242	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1243	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1244	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1245	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1246	C₂²	C₁₃×#585	1	1	yes	characteristic
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	2	4	no	—
1251	C₄	—	2	2	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	4	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	4	2	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	2	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	1	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	2	no	—
1263	C₄	—	4	1	no	—
1264	C₄	C₂×C₄×D₄×C₁₃	1	4	yes	—
1265	C₂	—	2	4	no	—
1266	C₂	—	2	8	no	—
1267	C₂	—	4	4	no	—
1268	C₂	—	4	2	no	—
1269	C₂	—	4	4	no	—
1270	C₂	C₂²×C₄×D₄×C₁₃	1	1	yes	characteristic
1271	C₂	C₂×C₁₃×#518	1	1	yes	characteristic
1272	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1273	C₂	C₁₃×#3484	1	1	yes	characteristic
1274	C₂	C₁₃×#3488	1	1	yes	characteristic
1275	C₂	C₁₃×#3513	1	1	yes	characteristic
1276	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×D₄²×C₁₃	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. C₂×C₁₃×#518	C₂	semidirect
3. C₂²×C₄×D₄×C₁₃	C₂	semidirect
4. C₁₃×#2366	C₂	semidirect
5. C₁₃×#2364	C₂	semidirect
6. C₁₃×#2363	C₂	semidirect
7. C₁₃×#2361	C₂	semidirect
8. C₁₃×#2358	C₂	semidirect
9. C₁₃×#2358	C₂	semidirect
10. C₁₃×#2352	C₂	semidirect
11. C₁₃×#2349	C₂	semidirect
12. D₄×C₁₃×C₂²⋊C₄	C₂	semidirect
13. D₄×C₁₃×C₂²⋊C₄	C₂	semidirect
14. D₄×C₁₃×C₂²⋊C₄	C₂	semidirect
15. C₁₃×#2328	C₂	semidirect
16. C₁₃×#2325	C₂	semidirect
17. C₁₃×#2324	C₂	semidirect
18. C₁₃×#2321	C₂	semidirect
19. C₄×C₁₃×#121	C₂	semidirect
20. C₄×C₁₃×#120	C₂	semidirect
21. C₁₃×#2290	C₂	semidirect
22. C₂×C₁₃×#386	C₂	semidirect
23. C₁₃×#2275	C₂	semidirect
27. C₂⁴×C₄×C₁₃	C₂²	semidirect
28. D₄²×C₁₃	C₄	semidirect
43. C₂×C₄×D₄×C₁₃	C₂²	semidirect
44. C₂×C₄×D₄×C₁₃	C₂²	semidirect
45. C₂×C₄×D₄×C₁₃	C₂²	semidirect
46. C₂×C₄×D₄×C₁₃	C₂²	semidirect
47. C₂×C₄×D₄×C₁₃	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃	C₂²	semidirect
51. C₂×C₄×D₄×C₁₃	C₂²	semidirect
52. C₂×C₄×D₄×C₁₃	C₂²	semidirect
53. C₂×C₄×D₄×C₁₃	C₂²	semidirect
54. C₂×C₁₃×#117	C₂²	semidirect
55. C₂×C₁₃×#117	C₂²	semidirect
56. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
57. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
58. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
59. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
60. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
61. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
62. C₂²×C₄²×C₁₃	C₂²	semidirect
63. C₁₃×#390	C₂²	semidirect
64. C₁₃×#390	C₂²	semidirect
65. C₁₃×#390	C₂²	semidirect
66. C₁₃×#390	C₂²	semidirect
67. C₁₃×#390	C₂²	semidirect
68. C₁₃×#390	C₂²	semidirect
69. C₁₃×#390	C₂²	semidirect
70. C₁₃×#389	C₂²	semidirect
71. C₁₃×#389	C₂²	semidirect
72. C₁₃×#388	C₂²	semidirect
73. C₁₃×#388	C₂²	semidirect
74. C₁₃×#388	C₂²	semidirect
75. C₁₃×#388	C₂²	semidirect
76. C₁₃×#388	C₂²	semidirect
77. C₁₃×#388	C₂²	semidirect
78. C₁₃×#388	C₂²	semidirect
79. C₁₃×#387	C₂²	semidirect
80. C₁₃×#387	C₂²	semidirect
81. C₁₃×#387	C₂²	semidirect
85. C₁₃×#386	C₂²	semidirect
86. C₁₃×#386	C₂²	semidirect
87. C₁₃×#386	C₂²	semidirect
88. C₁₃×#386	C₂²	semidirect
89. C₁₃×#386	C₂²	semidirect
90. C₁₃×#386	C₂²	semidirect
91. C₁₃×#386	C₂²	semidirect
92. C₁₃×#386	C₂²	semidirect
93. C₁₃×#386	C₂²	semidirect
94. C₁₃×#386	C₂²	semidirect
95. C₁₃×#386	C₂²	semidirect
96. C₁₃×#386	C₂²	semidirect
97. C₁₃×#386	C₂²	semidirect
98. C₁₃×#386	C₂²	semidirect
99. C₁₃×#385	C₂²	semidirect
100. C₁₃×#385	C₂²	semidirect
101. C₁₃×#385	C₂²	semidirect
102. C₁₃×#385	C₂²	semidirect
103. C₁₃×#385	C₂²	semidirect
104. C₁₃×#385	C₂²	semidirect
105. C₁₃×#382	C₂²	semidirect
106. C₁₃×#380	C₂²	semidirect
107. C₁₃×#380	C₂²	semidirect
108. C₁₃×#380	C₂²	semidirect
109. C₁₃×#379	C₂²	semidirect
110. C₁₃×#379	C₂²	semidirect
111. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
112. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
113. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
114. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
115. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
116. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
117. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
118. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
119. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
120. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
121. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
122. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
123. C₁₃×#376	C₂²	semidirect
124. C₂×C₁₃×#95	C₂²	semidirect
125. C₂×C₁₃×#95	C₂²	semidirect
134. C₂²×D₄×C₁₃	C₂×C₄	semidirect
135. C₂²×D₄×C₁₃	C₂×C₄	semidirect
136. C₂²×D₄×C₁₃	C₂×C₄	semidirect
164. C₁₃×#127	C₂×C₄	semidirect
165. C₁₃×#121	C₂×C₄	semidirect
166. C₁₃×#121	C₂×C₄	semidirect
167. C₁₃×#121	C₂×C₄	semidirect
168. C₁₃×#120	C₂×C₄	semidirect
169. C₁₃×#120	C₂×C₄	semidirect
184. C₄×D₄×C₁₃	C₂×C₄	semidirect
185. C₄×D₄×C₁₃	C₂×C₄	semidirect
186. C₄×D₄×C₁₃	D₄	semidirect
269. #34290	C₁₃	direct (N × H)
283. C₂⁴×C₁₃	C₂²×C₄	semidirect
315. C₂×D₄×C₁₃	C₂²×C₄	semidirect
316. C₂×D₄×C₁₃	C₂²×C₄	semidirect
317. C₂×D₄×C₁₃	C₂²×C₄	semidirect
318. C₂×D₄×C₁₃	C₂²×C₄	semidirect
319. C₂×D₄×C₁₃	C₂²×C₄	semidirect
362. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
363. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
364. C₂²×C₄×C₁₃	C₂×D₄	semidirect
393. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
394. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
395. C₁₃×C₄⋊C₄	C₂×D₄	semidirect
421. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
422. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
423. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
424. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
425. C₁₃×C₂²⋊C₄	C₂×D₄	semidirect
435. C₄²×C₁₃	C₂²×C₄	semidirect
436. C₄²×C₁₃	C₂×D₄	semidirect
438. C₂×#518	C₂×C₁₃	semidirect
439. C₂²×C₄×D₄	C₂×C₁₃	semidirect
440. #2366	C₂×C₁₃	semidirect
441. #2364	C₂×C₁₃	semidirect
442. #2363	C₂×C₁₃	semidirect
443. #2361	C₂×C₁₃	semidirect
444. #2358	C₂×C₁₃	semidirect
445. #2358	C₂×C₁₃	semidirect
446. #2352	C₂×C₁₃	semidirect
447. #2349	C₂×C₁₃	semidirect
448. D₄×C₂²⋊C₄	C₂×C₁₃	semidirect
449. D₄×C₂²⋊C₄	C₂×C₁₃	semidirect
450. D₄×C₂²⋊C₄	C₂×C₁₃	semidirect
451. #2328	C₂×C₁₃	semidirect
452. #2325	C₂×C₁₃	semidirect
453. #2324	C₂×C₁₃	semidirect
454. #2321	C₂×C₁₃	semidirect
455. C₄×#121	C₂×C₁₃	semidirect
456. C₄×#120	C₂×C₁₃	semidirect
457. #2290	C₂×C₁₃	semidirect
458. C₂×#386	C₂×C₁₃	semidirect
459. #2275	C₂×C₁₃	semidirect
519. D₄×C₁₃	C₄×D₄	semidirect
591. C₂⁴×C₄	C₂²×C₁₃	semidirect
592. D₄²	C₄×C₁₃	semidirect
607. C₂×C₄×D₄	C₂²×C₁₃	semidirect
608. C₂×C₄×D₄	C₂²×C₁₃	semidirect
609. C₂×C₄×D₄	C₂²×C₁₃	semidirect
610. C₂×C₄×D₄	C₂²×C₁₃	semidirect
611. C₂×C₄×D₄	C₂²×C₁₃	semidirect
612. C₂×C₄×D₄	C₂²×C₁₃	semidirect
613. C₂×C₄×D₄	C₂²×C₁₃	semidirect
614. C₂×C₄×D₄	C₂²×C₁₃	semidirect
615. C₂×C₄×D₄	C₂²×C₁₃	semidirect
616. C₂×C₄×D₄	C₂²×C₁₃	semidirect
617. C₂×C₄×D₄	C₂²×C₁₃	semidirect
618. C₂×#117	C₂²×C₁₃	semidirect
619. C₂×#117	C₂²×C₁₃	semidirect
620. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
621. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
622. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
623. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
624. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
625. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
626. C₂²×C₄²	C₂²×C₁₃	semidirect
627. #390	C₂²×C₁₃	semidirect
628. #390	C₂²×C₁₃	semidirect
629. #390	C₂²×C₁₃	semidirect
630. #390	C₂²×C₁₃	semidirect
631. #390	C₂²×C₁₃	semidirect
632. #390	C₂²×C₁₃	semidirect
633. #390	C₂²×C₁₃	semidirect
634. #389	C₂²×C₁₃	semidirect
635. #389	C₂²×C₁₃	semidirect
636. #388	C₂²×C₁₃	semidirect
637. #388	C₂²×C₁₃	semidirect
638. #388	C₂²×C₁₃	semidirect
639. #388	C₂²×C₁₃	semidirect
640. #388	C₂²×C₁₃	semidirect
641. #388	C₂²×C₁₃	semidirect
642. #388	C₂²×C₁₃	semidirect
643. #387	C₂²×C₁₃	semidirect
644. #387	C₂²×C₁₃	semidirect
645. #387	C₂²×C₁₃	semidirect
649. #386	C₂²×C₁₃	semidirect
650. #386	C₂²×C₁₃	semidirect
651. #386	C₂²×C₁₃	semidirect
652. #386	C₂²×C₁₃	semidirect
653. #386	C₂²×C₁₃	semidirect
654. #386	C₂²×C₁₃	semidirect
655. #386	C₂²×C₁₃	semidirect
656. #386	C₂²×C₁₃	semidirect
657. #386	C₂²×C₁₃	semidirect
658. #386	C₂²×C₁₃	semidirect
659. #386	C₂²×C₁₃	semidirect
660. #386	C₂²×C₁₃	semidirect
661. #386	C₂²×C₁₃	semidirect
662. #386	C₂²×C₁₃	semidirect
663. #385	C₂²×C₁₃	semidirect
664. #385	C₂²×C₁₃	semidirect
665. #385	C₂²×C₁₃	semidirect
666. #385	C₂²×C₁₃	semidirect
667. #385	C₂²×C₁₃	semidirect
668. #385	C₂²×C₁₃	semidirect
669. #382	C₂²×C₁₃	semidirect
670. #380	C₂²×C₁₃	semidirect
671. #380	C₂²×C₁₃	semidirect
672. #380	C₂²×C₁₃	semidirect
673. #379	C₂²×C₁₃	semidirect
674. #379	C₂²×C₁₃	semidirect
675. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
676. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
677. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
678. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
679. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
680. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
681. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
682. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
683. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
684. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
685. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
686. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
687. #376	C₂²×C₁₃	semidirect
688. C₂×#95	C₂²×C₁₃	semidirect
689. C₂×#95	C₂²×C₁₃	semidirect
726. C₂²×C₁₃	#518	semidirect
760. C₂²×D₄	C₂×C₄×C₁₃	semidirect
761. C₂²×D₄	C₂×C₄×C₁₃	semidirect
762. C₂²×D₄	C₂×C₄×C₁₃	semidirect
790. #127	C₂×C₄×C₁₃	semidirect
791. #121	C₂×C₄×C₁₃	semidirect
792. #121	C₂×C₄×C₁₃	semidirect
793. #121	C₂×C₄×C₁₃	semidirect
794. #120	C₂×C₄×C₁₃	semidirect
795. #120	C₂×C₄×C₁₃	semidirect
810. C₄×D₄	C₂×C₄×C₁₃	semidirect
811. C₄×D₄	C₂×C₄×C₁₃	semidirect
812. C₄×D₄	D₄×C₁₃	semidirect
920. C₂⁴	C₂²×C₄×C₁₃	semidirect
952. C₂×D₄	C₂²×C₄×C₁₃	semidirect
953. C₂×D₄	C₂²×C₄×C₁₃	semidirect
954. C₂×D₄	C₂²×C₄×C₁₃	semidirect
955. C₂×D₄	C₂²×C₄×C₁₃	semidirect
956. C₂×D₄	C₂²×C₄×C₁₃	semidirect
999. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
1000. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
1001. C₂²×C₄	C₂×D₄×C₁₃	semidirect
1030. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
1031. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
1032. C₄⋊C₄	C₂×D₄×C₁₃	semidirect
1058. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1059. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1060. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1061. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1062. C₂²⋊C₄	C₂×D₄×C₁₃	semidirect
1072. C₄²	C₂²×C₄×C₁₃	semidirect
1073. C₄²	C₂×D₄×C₁₃	semidirect
1074. C₁₃	#34290	direct (N × H)
1134. D₄	C₄×D₄×C₁₃	semidirect
1239. C₂²	C₁₃×#518	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×D₄²×C₁₃	2
C₂×C₁₃×#518	2
C₂²×C₄×D₄×C₁₃	2
C₁₃×#2366	2
C₁₃×#2364	2
C₁₃×#2363	2
C₁₃×#2361	2
C₁₃×#2358	2
C₁₃×#2352	2
C₁₃×#2349	2
D₄×C₁₃×C₂²⋊C₄	2
C₁₃×#2328	2
C₁₃×#2325	2
C₁₃×#2324	2
C₁₃×#2321	2
C₄×C₁₃×#121	2
C₄×C₁₃×#120	2
C₁₃×#2290	2
C₂×C₁₃×#386	2
C₁₃×#2275	2
#34290	13

Subgroups — C13×#34290 #15720629

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34290 #15720629