Subgroups — C₁₃×#35023 #15721362

Order 3328.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2851	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2848	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2847	C₂	1	1	yes	maximal, characteristic
5	C₁₃×#2643	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2622	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2597	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2595	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2578	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2576	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2495	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2494	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2490	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2489	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2427	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2426	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2421	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2420	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
20	C₁₃×#2318	C₂	1	2	yes	maximal, complemented
21	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×C₂²⋊Q₈	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	1	yes	characteristic
33	C₂×C₁₃×#120	C₂²	1	2	yes	—
34	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, 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×#401	C₂²	1	2	yes	complemented
42	C₁₃×#400	C₂²	1	2	yes	complemented
43	C₁₃×#400	C₂²	1	2	yes	complemented
44	C₁₃×#400	C₂²	1	2	yes	complemented
45	C₁₃×#397	C₂²	1	2	yes	—
46	C₁₃×#397	C₂²	1	2	yes	—
47	C₁₃×#397	C₂²	1	2	yes	—
48	C₁₃×#397	C₂²	1	2	yes	—
49	C₁₃×#397	C₂²	1	2	yes	complemented
50	C₁₃×#397	C₂²	1	2	yes	complemented
51	C₁₃×#397	C₂²	1	2	yes	complemented
52	C₁₃×#396	C₂²	1	2	yes	complemented
53	C₁₃×#394	C₂²	1	2	yes	—
54	C₁₃×#394	C₂²	1	2	yes	—
55	C₁₃×#394	C₂²	1	2	yes	—
56	C₁₃×#394	C₂²	1	2	yes	—
57	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#390	C₂²	1	2	yes	—
60	C₁₃×#390	C₂²	1	2	yes	—
61	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#388	C₂²	1	2	yes	—
68	C₁₃×#388	C₂²	1	2	yes	—
69	C₁₃×#388	C₂²	1	2	yes	—
70	C₁₃×#388	C₂²	1	2	yes	—
71	C₁₃×#388	C₂²	1	2	yes	complemented
72	C₁₃×#388	C₂²	1	2	yes	complemented
73	C₁₃×#388	C₂²	1	2	yes	complemented
74	C₁₃×#388	C₂²	1	2	yes	complemented
75	C₁₃×#388	C₂²	1	2	yes	complemented
76	C₁₃×#387	C₂²	1	2	yes	complemented
77	C₁₃×#387	C₂²	1	2	yes	complemented
78	C₁₃×#387	C₂²	1	2	yes	complemented
79	C₁₃×#387	C₂²	1	2	yes	complemented
80	C₁₃×#387	C₂²	1	2	yes	complemented
81	C₁₃×#386	C₂²	1	2	yes	—
82	C₁₃×#386	C₂²	1	2	yes	—
83	C₁₃×#386	C₂²	1	2	yes	—
84	C₁₃×#386	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×#385	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×#383	C₂²	1	2	yes	complemented
96	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#382	C₂²	1	2	yes	complemented
98	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#381	C₂²	1	2	yes	complemented
100	C₁₃×#380	C₂²	1	1	yes	characteristic
101	C₁₃×#380	C₂²	1	1	yes	characteristic
102	C₁₃×#380	C₂²	1	1	yes	characteristic
103	C₁₃×#380	C₂²	1	1	yes	characteristic
104	C₁₃×#380	C₂²	1	1	yes	characteristic
105	C₁₃×#380	C₂²	1	1	yes	characteristic
106	C₁₃×#380	C₂²	1	2	yes	complemented
107	C₁₃×#379	C₂²	1	2	yes	—
108	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
111	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
123	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×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	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₃	—	2	4	no	—
130	C₂³×C₄×C₁₃	—	4	2	no	—
131	C₂³×C₄×C₁₃	—	4	2	no	—
132	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
138	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₁₃×#125	—	4	2	no	—
144	C₁₃×#124	—	4	2	no	—
145	C₁₃×C₂²⋊Q₈	—	2	4	no	—
146	C₁₃×C₂²⋊Q₈	—	4	2	no	—
147	C₁₃×C₂²⋊Q₈	—	4	2	no	—
148	C₁₃×#121	—	2	4	no	—
149	C₁₃×#121	—	4	2	no	—
150	C₁₃×#121	—	4	2	no	—
151	C₁₃×#120	—	2	8	no	—
152	C₄×Q₈×C₁₃	—	4	2	no	—
153	C₄×D₄×C₁₃	—	2	8	no	—
154	C₄×D₄×C₁₃	—	4	2	no	—
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	1	yes	characteristic
159	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
172	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
173	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
177	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
181	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
182	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
183	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₃	—	4	2	no	—
201	C₂×C₄²×C₁₃	—	4	2	no	—
202	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₃	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	2	yes	—
207	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
212	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
213	C₁₃×#95	C₂³	1	1	yes	characteristic
214	C₁₃×#95	C₂³	1	1	yes	characteristic
215	C₁₃×#95	C₂³	1	1	yes	characteristic
216	C₁₃×#95	C₂³	1	1	yes	characteristic
217	C₁₃×#95	C₂³	1	1	yes	characteristic
218	C₁₃×#95	C₂³	1	1	yes	characteristic
219	C₁₃×#95	C₂³	1	1	yes	characteristic
220	C₁₃×#95	C₂³	1	1	yes	characteristic
221	C₁₃×#95	C₂³	1	2	yes	—
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	2	yes	—
228	C₁₃×#95	C₂³	1	2	yes	—
229	C₁₃×#95	C₂³	1	2	yes	—
230	C₁₃×#95	C₂³	1	2	yes	—
231	C₁₃×#95	C₂³	1	2	yes	—
232	C₁₃×#95	C₂³	1	2	yes	—
233	C₁₃×#95	C₂³	1	2	yes	—
234	C₁₃×#95	C₂³	1	2	yes	—
235	C₁₃×#95	C₂³	1	2	yes	—
236	C₁₃×#95	C₂³	1	2	yes	—
237	C₁₃×#95	C₂³	1	2	yes	—
238	C₁₃×#95	C₂³	1	2	yes	—
239	C₁₃×#95	C₂³	1	2	yes	—
240	C₁₃×#95	C₂³	1	2	yes	—
241	#35023	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
242	C₂⁴×C₁₃	—	2	2	no	—
243	C₂⁴×C₁₃	—	2	2	no	—
244	C₂⁴×C₁₃	—	4	1	no	—
245	C₂⁴×C₁₃	—	4	1	no	—
246	C₂⁴×C₁₃	—	4	1	no	—
247	C₂⁴×C₁₃	—	4	1	no	—
248	C₂⁴×C₁₃	#41	1	4	yes	—
249	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
250	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
251	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
252	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
253	C₂×Q₈×C₁₃	—	2	2	no	—
254	C₂×Q₈×C₁₃	—	2	2	no	—
255	C₂×Q₈×C₁₃	—	2	2	no	—
256	C₂×D₄×C₁₃	—	2	4	no	—
257	C₂×D₄×C₁₃	—	2	4	no	—
258	C₂×D₄×C₁₃	—	2	4	no	—
259	C₂×D₄×C₁₃	—	2	4	no	—
260	C₂×D₄×C₁₃	—	2	4	no	—
261	C₂×D₄×C₁₃	—	2	2	no	—
262	C₂×D₄×C₁₃	—	2	2	no	—
263	C₂×D₄×C₁₃	—	2	2	no	—
264	C₂×D₄×C₁₃	—	4	2	no	—
265	C₂×D₄×C₁₃	—	4	2	no	—
266	C₂×D₄×C₁₃	—	4	2	no	—
267	C₂×D₄×C₁₃	—	4	2	no	—
268	C₂²×C₄×C₁₃	—	2	2	no	—
269	C₂²×C₄×C₁₃	—	2	2	no	—
270	C₂²×C₄×C₁₃	—	2	2	no	—
271	C₂²×C₄×C₁₃	—	2	2	no	—
272	C₂²×C₄×C₁₃	—	2	2	no	—
273	C₂²×C₄×C₁₃	—	2	2	no	—
274	C₂²×C₄×C₁₃	—	2	2	no	—
275	C₂²×C₄×C₁₃	—	2	2	no	—
276	C₂²×C₄×C₁₃	—	2	2	no	—
277	C₂²×C₄×C₁₃	—	2	2	no	—
278	C₂²×C₄×C₁₃	—	2	2	no	—
279	C₂²×C₄×C₁₃	—	2	2	no	—
280	C₂²×C₄×C₁₃	—	2	2	no	—
281	C₂²×C₄×C₁₃	—	2	2	no	—
282	C₂²×C₄×C₁₃	—	2	4	no	—
283	C₂²×C₄×C₁₃	—	4	1	no	—
284	C₂²×C₄×C₁₃	—	4	1	no	—
285	C₂²×C₄×C₁₃	—	4	1	no	—
286	C₂²×C₄×C₁₃	—	4	1	no	—
287	C₂²×C₄×C₁₃	—	4	1	no	—
288	C₂²×C₄×C₁₃	—	4	1	no	—
289	C₂²×C₄×C₁₃	—	4	1	no	—
290	C₂²×C₄×C₁₃	—	4	1	no	—
291	C₂²×C₄×C₁₃	—	4	1	no	—
292	C₂²×C₄×C₁₃	—	4	1	no	—
293	C₂²×C₄×C₁₃	—	4	1	no	—
294	C₂²×C₄×C₁₃	—	4	1	no	—
295	C₂²×C₄×C₁₃	—	4	1	no	—
296	C₂²×C₄×C₁₃	—	4	1	no	—
297	C₂²×C₄×C₁₃	—	4	2	no	—
298	C₂²×C₄×C₁₃	—	4	2	no	—
299	C₂²×C₄×C₁₃	—	4	16	no	—
300	C₂²×C₄×C₁₃	#41	1	4	yes	—
301	C₂²×C₄×C₁₃	#41	1	4	yes	—
302	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
310	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
314	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
315	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
316	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
317	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₁₃×C₄⋊C₄	—	2	4	no	—
322	C₁₃×C₄⋊C₄	—	2	2	no	—
323	C₁₃×C₄⋊C₄	—	2	2	no	—
324	C₁₃×C₄⋊C₄	—	2	4	no	—
325	C₁₃×C₄⋊C₄	—	2	2	no	—
326	C₁₃×C₄⋊C₄	—	2	2	no	—
327	C₁₃×C₄⋊C₄	—	2	2	no	—
328	C₁₃×C₄⋊C₄	—	2	2	no	—
329	C₁₃×C₄⋊C₄	—	4	2	no	—
330	C₁₃×C₄⋊C₄	—	4	2	no	—
331	C₁₃×C₄⋊C₄	—	4	2	no	—
332	C₁₃×C₄⋊C₄	—	4	2	no	—
333	C₁₃×C₄⋊C₄	—	4	2	no	—
334	C₁₃×C₄⋊C₄	—	4	2	no	—
335	C₁₃×C₄⋊C₄	—	4	2	no	—
336	C₁₃×C₄⋊C₄	—	4	2	no	—
337	C₁₃×C₂²⋊C₄	—	2	2	no	—
338	C₁₃×C₂²⋊C₄	—	2	2	no	—
339	C₁₃×C₂²⋊C₄	—	2	2	no	—
340	C₁₃×C₂²⋊C₄	—	2	2	no	—
341	C₁₃×C₂²⋊C₄	—	2	4	no	—
342	C₁₃×C₂²⋊C₄	—	2	4	no	—
343	C₁₃×C₂²⋊C₄	—	2	4	no	—
344	C₁₃×C₂²⋊C₄	—	2	4	no	—
345	C₁₃×C₂²⋊C₄	—	2	4	no	—
346	C₁₃×C₂²⋊C₄	—	2	2	no	—
347	C₁₃×C₂²⋊C₄	—	2	2	no	—
348	C₁₃×C₂²⋊C₄	—	2	2	no	—
349	C₁₃×C₂²⋊C₄	—	2	2	no	—
350	C₁₃×C₂²⋊C₄	—	2	4	no	—
351	C₁₃×C₂²⋊C₄	—	2	4	no	—
352	C₁₃×C₂²⋊C₄	—	4	2	no	—
353	C₁₃×C₂²⋊C₄	—	4	2	no	—
354	C₁₃×C₂²⋊C₄	—	4	2	no	—
355	C₁₃×C₂²⋊C₄	—	4	2	no	—
356	C₁₃×C₂²⋊C₄	—	4	2	no	—
357	C₁₃×C₂²⋊C₄	—	4	2	no	—
358	C₁₃×C₂²⋊C₄	—	4	2	no	—
359	C₁₃×C₂²⋊C₄	—	4	2	no	—
360	C₁₃×C₂²⋊C₄	—	4	2	no	—
361	C₁₃×C₂²⋊C₄	—	4	2	no	—
362	C₁₃×C₂²⋊C₄	—	4	2	no	—
363	C₁₃×C₂²⋊C₄	—	4	2	no	—
364	C₄²×C₁₃	—	2	4	no	—
365	C₄²×C₁₃	—	2	2	no	—
366	C₄²×C₁₃	—	2	2	no	—
367	C₄²×C₁₃	—	2	2	no	—
368	C₄²×C₁₃	—	2	2	no	—
369	C₄²×C₁₃	—	4	1	no	—
370	C₄²×C₁₃	—	4	1	no	—
371	C₄²×C₁₃	—	4	1	no	—
372	C₄²×C₁₃	—	4	1	no	—
373	C₄²×C₁₃	—	4	2	no	—
374	C₄²×C₁₃	—	4	2	no	—
375	#2851	C₂×C₁₃	1	1	yes	characteristic, complemented
376	#2850	C₂×C₁₃	1	1	yes	characteristic, complemented
377	#2848	C₂×C₁₃	1	1	yes	characteristic, complemented
378	#2847	C₂×C₁₃	1	1	yes	characteristic
379	#2643	C₂×C₁₃	1	2	yes	complemented
380	#2622	C₂×C₁₃	1	2	yes	complemented
381	#2597	C₂×C₁₃	1	2	yes	complemented
382	#2595	C₂×C₁₃	1	2	yes	complemented
383	#2578	C₂×C₁₃	1	2	yes	complemented
384	#2576	C₂×C₁₃	1	2	yes	complemented
385	#2495	C₂×C₁₃	1	1	yes	characteristic, complemented
386	#2494	C₂×C₁₃	1	1	yes	characteristic, complemented
387	#2490	C₂×C₁₃	1	1	yes	characteristic, complemented
388	#2489	C₂×C₁₃	1	1	yes	characteristic, complemented
389	#2427	C₂×C₁₃	1	1	yes	characteristic, complemented
390	#2426	C₂×C₁₃	1	1	yes	characteristic, complemented
391	#2421	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#2420	C₂×C₁₃	1	1	yes	characteristic, complemented
393	#2321	C₂×C₁₃	1	2	yes	complemented
394	#2318	C₂×C₁₃	1	2	yes	complemented
395	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
396	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
397	C₂×C₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
398	C₂³×C₁₃	—	2	1	no	—
399	C₂³×C₁₃	—	2	1	no	—
400	C₂³×C₁₃	—	2	1	no	—
401	C₂³×C₁₃	—	2	1	no	—
402	C₂³×C₁₃	—	2	8	no	—
403	C₂³×C₁₃	—	2	1	no	—
404	C₂³×C₁₃	—	2	1	no	—
405	C₂³×C₁₃	—	2	1	no	—
406	C₂³×C₁₃	—	2	1	no	—
407	C₂³×C₁₃	—	2	1	no	—
408	C₂³×C₁₃	—	2	1	no	—
409	C₂³×C₁₃	—	2	1	no	—
410	C₂³×C₁₃	—	2	1	no	—
411	C₂³×C₁₃	—	2	1	no	—
412	C₂³×C₁₃	—	2	1	no	—
413	C₂³×C₁₃	—	2	1	no	—
414	C₂³×C₁₃	—	2	1	no	—
415	C₂³×C₁₃	—	2	2	no	—
416	C₂³×C₁₃	—	2	2	no	—
417	C₂³×C₁₃	—	2	2	no	—
418	C₂³×C₁₃	—	2	2	no	—
419	C₂³×C₁₃	—	2	2	no	—
420	C₂³×C₁₃	—	2	2	no	—
421	C₂³×C₁₃	—	2	2	no	—
422	C₂³×C₁₃	—	4	4	no	—
423	C₂³×C₁₃	—	4	4	no	—
424	C₂³×C₁₃	—	4	4	no	—
425	C₂³×C₁₃	—	4	4	no	—
426	C₂³×C₁₃	—	4	4	no	—
427	C₂³×C₁₃	—	4	4	no	—
428	C₂³×C₁₃	C₂×#41	1	2	yes	—
429	C₂³×C₁₃	C₂×#41	1	2	yes	—
430	C₂³×C₁₃	C₂×#41	1	2	yes	—
431	C₂³×C₁₃	C₂×#41	1	2	yes	—
432	C₂³×C₁₃	C₂×#41	1	2	yes	—
433	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
434	Q₈×C₁₃	—	4	4	no	—
435	D₄×C₁₃	—	4	8	no	—
436	D₄×C₁₃	—	4	4	no	—
437	D₄×C₁₃	—	8	4	no	—
438	D₄×C₁₃	—	8	4	no	—
439	C₂×C₄×C₁₃	—	2	1	no	—
440	C₂×C₄×C₁₃	—	2	1	no	—
441	C₂×C₄×C₁₃	—	2	1	no	—
442	C₂×C₄×C₁₃	—	2	1	no	—
443	C₂×C₄×C₁₃	—	2	1	no	—
444	C₂×C₄×C₁₃	—	2	1	no	—
445	C₂×C₄×C₁₃	—	2	8	no	—
446	C₂×C₄×C₁₃	—	2	2	no	—
447	C₂×C₄×C₁₃	—	2	2	no	—
448	C₂×C₄×C₁₃	—	2	1	no	—
449	C₂×C₄×C₁₃	—	2	1	no	—
450	C₂×C₄×C₁₃	—	2	1	no	—
451	C₂×C₄×C₁₃	—	2	1	no	—
452	C₂×C₄×C₁₃	—	2	1	no	—
453	C₂×C₄×C₁₃	—	2	1	no	—
454	C₂×C₄×C₁₃	—	2	2	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	2	no	—
457	C₂×C₄×C₁₃	—	2	2	no	—
458	C₂×C₄×C₁₃	—	2	2	no	—
459	C₂×C₄×C₁₃	—	2	2	no	—
460	C₂×C₄×C₁₃	—	2	2	no	—
461	C₂×C₄×C₁₃	—	2	1	no	—
462	C₂×C₄×C₁₃	—	2	1	no	—
463	C₂×C₄×C₁₃	—	2	1	no	—
464	C₂×C₄×C₁₃	—	2	1	no	—
465	C₂×C₄×C₁₃	—	2	1	no	—
466	C₂×C₄×C₁₃	—	2	1	no	—
467	C₂×C₄×C₁₃	—	2	1	no	—
468	C₂×C₄×C₁₃	—	2	1	no	—
469	C₂×C₄×C₁₃	—	2	2	no	—
470	C₂×C₄×C₁₃	—	2	2	no	—
471	C₂×C₄×C₁₃	—	2	2	no	—
472	C₂×C₄×C₁₃	—	2	2	no	—
473	C₂×C₄×C₁₃	—	2	1	no	—
474	C₂×C₄×C₁₃	—	2	1	no	—
475	C₂×C₄×C₁₃	—	2	2	no	—
476	C₂×C₄×C₁₃	—	2	2	no	—
477	C₂×C₄×C₁₃	—	2	1	no	—
478	C₂×C₄×C₁₃	—	2	1	no	—
479	C₂×C₄×C₁₃	—	2	2	no	—
480	C₂×C₄×C₁₃	—	2	2	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	1	no	—
484	C₂×C₄×C₁₃	—	2	1	no	—
485	C₂×C₄×C₁₃	—	2	1	no	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	1	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	4	4	no	—
492	C₂×C₄×C₁₃	—	4	4	no	—
493	C₂×C₄×C₁₃	—	4	4	no	—
494	C₂×C₄×C₁₃	—	4	4	no	—
495	C₂×C₄×C₁₃	—	4	4	no	—
496	C₂×C₄×C₁₃	—	4	4	no	—
497	C₂×C₄×C₁₃	—	4	4	no	—
498	C₂×C₄×C₁₃	—	4	4	no	—
499	C₂×C₄×C₁₃	—	4	4	no	—
500	C₂×C₄×C₁₃	—	8	4	no	—
501	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
502	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
503	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
504	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
505	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
506	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
507	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
508	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
509	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
510	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
511	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
512	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
513	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
514	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
515	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
516	C₂×#120	C₂²×C₁₃	1	2	yes	—
517	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
518	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
519	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
520	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
521	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
522	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
523	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
524	#401	C₂²×C₁₃	1	2	yes	complemented
525	#400	C₂²×C₁₃	1	2	yes	complemented
526	#400	C₂²×C₁₃	1	2	yes	complemented
527	#400	C₂²×C₁₃	1	2	yes	complemented
528	#397	C₂²×C₁₃	1	2	yes	—
529	#397	C₂²×C₁₃	1	2	yes	—
530	#397	C₂²×C₁₃	1	2	yes	—
531	#397	C₂²×C₁₃	1	2	yes	—
532	#397	C₂²×C₁₃	1	2	yes	complemented
533	#397	C₂²×C₁₃	1	2	yes	complemented
534	#397	C₂²×C₁₃	1	2	yes	complemented
535	#396	C₂²×C₁₃	1	2	yes	complemented
536	#394	C₂²×C₁₃	1	2	yes	—
537	#394	C₂²×C₁₃	1	2	yes	—
538	#394	C₂²×C₁₃	1	2	yes	—
539	#394	C₂²×C₁₃	1	2	yes	—
540	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
541	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
542	#390	C₂²×C₁₃	1	2	yes	—
543	#390	C₂²×C₁₃	1	2	yes	—
544	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
545	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
546	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
547	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
548	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
549	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
550	#388	C₂²×C₁₃	1	2	yes	—
551	#388	C₂²×C₁₃	1	2	yes	—
552	#388	C₂²×C₁₃	1	2	yes	—
553	#388	C₂²×C₁₃	1	2	yes	—
554	#388	C₂²×C₁₃	1	2	yes	complemented
555	#388	C₂²×C₁₃	1	2	yes	complemented
556	#388	C₂²×C₁₃	1	2	yes	complemented
557	#388	C₂²×C₁₃	1	2	yes	complemented
558	#388	C₂²×C₁₃	1	2	yes	complemented
559	#387	C₂²×C₁₃	1	2	yes	complemented
560	#387	C₂²×C₁₃	1	2	yes	complemented
561	#387	C₂²×C₁₃	1	2	yes	complemented
562	#387	C₂²×C₁₃	1	2	yes	complemented
563	#387	C₂²×C₁₃	1	2	yes	complemented
564	#386	C₂²×C₁₃	1	2	yes	—
565	#386	C₂²×C₁₃	1	2	yes	—
566	#386	C₂²×C₁₃	1	2	yes	—
567	#386	C₂²×C₁₃	1	2	yes	—
568	#386	C₂²×C₁₃	1	2	yes	—
569	#386	C₂²×C₁₃	1	2	yes	—
570	#386	C₂²×C₁₃	1	2	yes	—
571	#386	C₂²×C₁₃	1	2	yes	—
572	#385	C₂²×C₁₃	1	2	yes	—
573	#385	C₂²×C₁₃	1	2	yes	—
574	#385	C₂²×C₁₃	1	2	yes	—
575	#385	C₂²×C₁₃	1	2	yes	—
576	#385	C₂²×C₁₃	1	2	yes	—
577	#385	C₂²×C₁₃	1	2	yes	—
578	#383	C₂²×C₁₃	1	2	yes	complemented
579	#382	C₂²×C₁₃	1	2	yes	complemented
580	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
581	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	#381	C₂²×C₁₃	1	2	yes	complemented
583	#380	C₂²×C₁₃	1	1	yes	characteristic
584	#380	C₂²×C₁₃	1	1	yes	characteristic
585	#380	C₂²×C₁₃	1	1	yes	characteristic
586	#380	C₂²×C₁₃	1	1	yes	characteristic
587	#380	C₂²×C₁₃	1	1	yes	characteristic
588	#380	C₂²×C₁₃	1	1	yes	characteristic
589	#380	C₂²×C₁₃	1	2	yes	complemented
590	#379	C₂²×C₁₃	1	2	yes	—
591	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
592	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
595	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
596	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
597	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
598	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
599	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
600	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
601	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
602	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
603	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
604	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
605	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
606	C₂²×C₁₃	—	2	2	no	—
607	C₂²×C₁₃	—	2	2	no	—
608	C₂²×C₁₃	—	2	2	no	—
609	C₂²×C₁₃	—	2	2	no	—
610	C₂²×C₁₃	—	2	2	no	—
611	C₂²×C₁₃	—	2	2	no	—
612	C₂²×C₁₃	—	2	2	no	—
613	C₂²×C₁₃	—	2	2	no	—
614	C₂²×C₁₃	—	2	2	no	—
615	C₂²×C₁₃	—	2	2	no	—
616	C₂²×C₁₃	—	2	2	no	—
617	C₂²×C₁₃	—	2	2	no	—
618	C₂²×C₁₃	—	4	16	no	—
619	C₂²×C₁₃	—	4	1	no	—
620	C₂²×C₁₃	—	4	1	no	—
621	C₂²×C₁₃	—	4	1	no	—
622	C₂²×C₁₃	—	4	1	no	—
623	C₂²×C₁₃	—	4	1	no	—
624	C₂²×C₁₃	—	4	1	no	—
625	C₂²×C₁₃	—	4	1	no	—
626	C₂²×C₁₃	—	4	1	no	—
627	C₂²×C₁₃	—	4	2	no	—
628	C₂²×C₁₃	—	4	2	no	—
629	C₂²×C₁₃	—	4	2	no	—
630	C₂²×C₁₃	—	4	2	no	—
631	C₂²×C₁₃	—	4	2	no	—
632	C₂²×C₁₃	—	4	2	no	—
633	C₂²×C₁₃	—	4	2	no	—
634	C₂²×C₁₃	#529	1	4	yes	—
635	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
636	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
637	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
638	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
639	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
640	C₂²×C₁₃	#585	1	1	yes	characteristic
641	C₂²×C₁₃	#585	1	1	yes	characteristic
642	C₄×C₁₃	—	2	2	no	—
643	C₄×C₁₃	—	2	2	no	—
644	C₄×C₁₃	—	2	2	no	—
645	C₄×C₁₃	—	4	2	no	—
646	C₄×C₁₃	—	4	1	no	—
647	C₄×C₁₃	—	4	1	no	—
648	C₄×C₁₃	—	4	2	no	—
649	C₄×C₁₃	—	4	2	no	—
650	C₄×C₁₃	—	4	1	no	—
651	C₄×C₁₃	—	4	1	no	—
652	C₄×C₁₃	—	4	1	no	—
653	C₄×C₁₃	—	4	1	no	—
654	C₄×C₁₃	—	4	2	no	—
655	C₄×C₁₃	—	4	2	no	—
656	C₄×C₁₃	—	4	2	no	—
657	C₄×C₁₃	—	4	2	no	—
658	C₄×C₁₃	—	4	1	no	—
659	C₄×C₁₃	—	4	1	no	—
660	C₄×C₁₃	#538	1	4	yes	—
661	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
662	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
663	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
664	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
665	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
666	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
667	C₂³×C₄	—	2	4	no	—
668	C₂³×C₄	—	4	2	no	—
669	C₂³×C₄	—	4	2	no	—
670	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
671	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
672	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
673	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
674	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
675	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
676	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
677	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
678	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
679	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
680	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
681	#125	—	4	2	no	—
682	#124	—	4	2	no	—
683	C₂²⋊Q₈	—	2	4	no	—
684	C₂²⋊Q₈	—	4	2	no	—
685	C₂²⋊Q₈	—	4	2	no	—
686	#121	—	2	4	no	—
687	#121	—	4	2	no	—
688	#121	—	4	2	no	—
689	#120	—	2	8	no	—
690	C₄×Q₈	—	4	2	no	—
691	C₄×D₄	—	2	8	no	—
692	C₄×D₄	—	4	2	no	—
693	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
694	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
696	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
701	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
702	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
703	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
705	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
706	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
707	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
708	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
709	C₂×C₂²⋊C₄	—	2	4	no	—
710	C₂×C₂²⋊C₄	—	2	4	no	—
711	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
715	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
722	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
724	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
725	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
726	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
727	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
728	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
729	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
730	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
738	C₂×C₄²	—	4	2	no	—
739	C₂×C₄²	—	4	2	no	—
740	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
741	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
742	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
743	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
744	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
745	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
746	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
747	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
748	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
750	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
751	#95	C₂³×C₁₃	1	1	yes	characteristic
752	#95	C₂³×C₁₃	1	1	yes	characteristic
753	#95	C₂³×C₁₃	1	1	yes	characteristic
754	#95	C₂³×C₁₃	1	1	yes	characteristic
755	#95	C₂³×C₁₃	1	1	yes	characteristic
756	#95	C₂³×C₁₃	1	1	yes	characteristic
757	#95	C₂³×C₁₃	1	1	yes	characteristic
758	#95	C₂³×C₁₃	1	1	yes	characteristic
759	#95	C₂³×C₁₃	1	2	yes	—
760	#95	C₂³×C₁₃	1	2	yes	—
761	#95	C₂³×C₁₃	1	2	yes	—
762	#95	C₂³×C₁₃	1	2	yes	—
763	#95	C₂³×C₁₃	1	2	yes	—
764	#95	C₂³×C₁₃	1	2	yes	—
765	#95	C₂³×C₁₃	1	2	yes	—
766	#95	C₂³×C₁₃	1	2	yes	—
767	#95	C₂³×C₁₃	1	2	yes	—
768	#95	C₂³×C₁₃	1	2	yes	—
769	#95	C₂³×C₁₃	1	2	yes	—
770	#95	C₂³×C₁₃	1	2	yes	—
771	#95	C₂³×C₁₃	1	2	yes	—
772	#95	C₂³×C₁₃	1	2	yes	—
773	#95	C₂³×C₁₃	1	2	yes	—
774	#95	C₂³×C₁₃	1	2	yes	—
775	#95	C₂³×C₁₃	1	2	yes	—
776	#95	C₂³×C₁₃	1	2	yes	—
777	#95	C₂³×C₁₃	1	2	yes	—
778	#95	C₂³×C₁₃	1	2	yes	—
779	C₂×C₁₃	—	2	4	no	—
780	C₂×C₁₃	—	4	2	no	—
781	C₂×C₁₃	—	4	2	no	—
782	C₂×C₁₃	—	8	2	no	—
783	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
784	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
785	C₂×C₁₃	#3455	1	1	yes	characteristic
786	C₂×C₁₃	#3505	1	1	yes	characteristic
787	C₂×C₁₃	#3505	1	1	yes	characteristic
788	C₂×C₁₃	#3505	1	1	yes	characteristic
789	C₂×C₁₃	#3506	1	1	yes	characteristic
790	C₂⁴	—	2	2	no	—
791	C₂⁴	—	2	2	no	—
792	C₂⁴	—	4	1	no	—
793	C₂⁴	—	4	1	no	—
794	C₂⁴	—	4	1	no	—
795	C₂⁴	—	4	1	no	—
796	C₂⁴	C₁₃×#41	1	4	yes	—
797	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
798	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
799	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
800	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
801	C₂×Q₈	—	2	2	no	—
802	C₂×Q₈	—	2	2	no	—
803	C₂×Q₈	—	2	2	no	—
804	C₂×D₄	—	2	4	no	—
805	C₂×D₄	—	2	4	no	—
806	C₂×D₄	—	2	4	no	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	4	no	—
809	C₂×D₄	—	2	2	no	—
810	C₂×D₄	—	2	2	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	4	2	no	—
813	C₂×D₄	—	4	2	no	—
814	C₂×D₄	—	4	2	no	—
815	C₂×D₄	—	4	2	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	2	no	—
822	C₂²×C₄	—	2	2	no	—
823	C₂²×C₄	—	2	2	no	—
824	C₂²×C₄	—	2	2	no	—
825	C₂²×C₄	—	2	2	no	—
826	C₂²×C₄	—	2	2	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	2	4	no	—
831	C₂²×C₄	—	4	1	no	—
832	C₂²×C₄	—	4	1	no	—
833	C₂²×C₄	—	4	1	no	—
834	C₂²×C₄	—	4	1	no	—
835	C₂²×C₄	—	4	1	no	—
836	C₂²×C₄	—	4	1	no	—
837	C₂²×C₄	—	4	1	no	—
838	C₂²×C₄	—	4	1	no	—
839	C₂²×C₄	—	4	1	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	2	no	—
846	C₂²×C₄	—	4	2	no	—
847	C₂²×C₄	—	4	16	no	—
848	C₂²×C₄	C₁₃×#41	1	4	yes	—
849	C₂²×C₄	C₁₃×#41	1	4	yes	—
850	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
851	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
852	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
855	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
856	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
858	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
859	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
860	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
861	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
862	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
865	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
869	C₄⋊C₄	—	2	4	no	—
870	C₄⋊C₄	—	2	2	no	—
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	4	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	4	2	no	—
878	C₄⋊C₄	—	4	2	no	—
879	C₄⋊C₄	—	4	2	no	—
880	C₄⋊C₄	—	4	2	no	—
881	C₄⋊C₄	—	4	2	no	—
882	C₄⋊C₄	—	4	2	no	—
883	C₄⋊C₄	—	4	2	no	—
884	C₄⋊C₄	—	4	2	no	—
885	C₂²⋊C₄	—	2	2	no	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	—	2	2	no	—
888	C₂²⋊C₄	—	2	2	no	—
889	C₂²⋊C₄	—	2	4	no	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	4	no	—
893	C₂²⋊C₄	—	2	4	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	4	no	—
900	C₂²⋊C₄	—	4	2	no	—
901	C₂²⋊C₄	—	4	2	no	—
902	C₂²⋊C₄	—	4	2	no	—
903	C₂²⋊C₄	—	4	2	no	—
904	C₂²⋊C₄	—	4	2	no	—
905	C₂²⋊C₄	—	4	2	no	—
906	C₂²⋊C₄	—	4	2	no	—
907	C₂²⋊C₄	—	4	2	no	—
908	C₂²⋊C₄	—	4	2	no	—
909	C₂²⋊C₄	—	4	2	no	—
910	C₂²⋊C₄	—	4	2	no	—
911	C₂²⋊C₄	—	4	2	no	—
912	C₄²	—	2	4	no	—
913	C₄²	—	2	2	no	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	2	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	4	1	no	—
918	C₄²	—	4	1	no	—
919	C₄²	—	4	1	no	—
920	C₄²	—	4	1	no	—
921	C₄²	—	4	2	no	—
922	C₄²	—	4	2	no	—
923	C₁₃	#35023	1	1	yes	characteristic, direct product factor, Sylow
924	C₂³	—	2	1	no	—
925	C₂³	—	2	1	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	8	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	1	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	1	no	—
933	C₂³	—	2	1	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	2	no	—
942	C₂³	—	2	2	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	4	4	no	—
949	C₂³	—	4	4	no	—
950	C₂³	—	4	4	no	—
951	C₂³	—	4	4	no	—
952	C₂³	—	4	4	no	—
953	C₂³	—	4	4	no	—
954	C₂³	C₂×C₁₃×#41	1	2	yes	—
955	C₂³	C₂×C₁₃×#41	1	2	yes	—
956	C₂³	C₂×C₁₃×#41	1	2	yes	—
957	C₂³	C₂×C₁₃×#41	1	2	yes	—
958	C₂³	C₂×C₁₃×#41	1	2	yes	—
959	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
960	Q₈	—	4	4	no	—
961	D₄	—	4	8	no	—
962	D₄	—	4	4	no	—
963	D₄	—	8	4	no	—
964	D₄	—	8	4	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	8	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	2	no	—
983	C₂×C₄	—	2	2	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	2	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	2	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	2	no	—
1008	C₂×C₄	—	2	2	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	4	4	no	—
1018	C₂×C₄	—	4	4	no	—
1019	C₂×C₄	—	4	4	no	—
1020	C₂×C₄	—	4	4	no	—
1021	C₂×C₄	—	4	4	no	—
1022	C₂×C₄	—	4	4	no	—
1023	C₂×C₄	—	4	4	no	—
1024	C₂×C₄	—	4	4	no	—
1025	C₂×C₄	—	4	4	no	—
1026	C₂×C₄	—	8	4	no	—
1027	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1028	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1029	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1030	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1031	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1032	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1033	C₂²	—	2	2	no	—
1034	C₂²	—	2	2	no	—
1035	C₂²	—	2	2	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	2	no	—
1038	C₂²	—	2	2	no	—
1039	C₂²	—	2	2	no	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	2	2	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	2	no	—
1045	C₂²	—	4	16	no	—
1046	C₂²	—	4	1	no	—
1047	C₂²	—	4	1	no	—
1048	C₂²	—	4	1	no	—
1049	C₂²	—	4	1	no	—
1050	C₂²	—	4	1	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	2	no	—
1055	C₂²	—	4	2	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	C₁₃×#529	1	4	yes	—
1062	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1063	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1064	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1065	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1066	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1067	C₂²	C₁₃×#585	1	1	yes	characteristic
1068	C₂²	C₁₃×#585	1	1	yes	characteristic
1069	C₄	—	2	2	no	—
1070	C₄	—	2	2	no	—
1071	C₄	—	2	2	no	—
1072	C₄	—	4	2	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	1	no	—
1075	C₄	—	4	2	no	—
1076	C₄	—	4	2	no	—
1077	C₄	—	4	1	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	1	no	—
1081	C₄	—	4	2	no	—
1082	C₄	—	4	2	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	1	no	—
1086	C₄	—	4	1	no	—
1087	C₄	C₁₃×#538	1	4	yes	—
1088	C₂	—	2	4	no	—
1089	C₂	—	4	2	no	—
1090	C₂	—	4	2	no	—
1091	C₂	—	8	2	no	—
1092	C₂	C₂×C₁₃×#529	1	1	yes	characteristic
1093	C₂	C₂×C₁₃×#538	1	1	yes	characteristic
1094	C₂	C₁₃×#3455	1	1	yes	characteristic
1095	C₂	C₁₃×#3505	1	1	yes	characteristic
1096	C₂	C₁₃×#3505	1	1	yes	characteristic
1097	C₂	C₁₃×#3505	1	1	yes	characteristic
1098	C₂	C₁₃×#3506	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₁₃×#2847	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2851	C₂	semidirect
2. C₁₃×#2850	C₂	semidirect
3. C₁₃×#2848	C₂	semidirect
5. C₁₃×#2643	C₂	semidirect
6. C₁₃×#2622	C₂	semidirect
7. C₁₃×#2597	C₂	semidirect
8. C₁₃×#2595	C₂	semidirect
9. C₁₃×#2578	C₂	semidirect
10. C₁₃×#2576	C₂	semidirect
11. C₁₃×#2495	C₂	semidirect
12. C₁₃×#2494	C₂	semidirect
13. C₁₃×#2490	C₂	semidirect
14. C₁₃×#2489	C₂	semidirect
15. C₁₃×#2427	C₂	semidirect
16. C₁₃×#2426	C₂	semidirect
17. C₁₃×#2421	C₂	semidirect
18. C₁₃×#2420	C₂	semidirect
19. C₁₃×#2321	C₂	semidirect
20. C₁₃×#2318	C₂	semidirect
21. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
22. C₄×C₁₃×#121	C₂	semidirect
23. C₂×C₄×C₁₃×C₂²⋊C₄	C₂	semidirect
25. C₂×C₁₃×#125	C₂²	semidirect
26. C₂×C₁₃×#124	C₂²	semidirect
34. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
36. C₂×C₄×D₄×C₁₃	C₂²	semidirect
41. C₁₃×#401	C₂²	semidirect
42. C₁₃×#400	C₂²	semidirect
43. C₁₃×#400	C₂²	semidirect
44. C₁₃×#400	C₂²	semidirect
49. C₁₃×#397	C₂²	semidirect
50. C₁₃×#397	C₂²	semidirect
51. C₁₃×#397	C₂²	semidirect
52. C₁₃×#396	C₂²	semidirect
57. C₁₃×#391	C₂²	semidirect
58. C₁₃×#391	C₂²	semidirect
61. C₁₃×#390	C₂²	semidirect
62. C₁₃×#390	C₂²	semidirect
63. C₁₃×#389	C₂²	semidirect
64. C₁₃×#389	C₂²	semidirect
65. C₁₃×#389	C₂²	semidirect
66. C₁₃×#389	C₂²	semidirect
71. C₁₃×#388	C₂²	semidirect
72. C₁₃×#388	C₂²	semidirect
73. C₁₃×#388	C₂²	semidirect
74. C₁₃×#388	C₂²	semidirect
75. C₁₃×#388	C₂²	semidirect
76. C₁₃×#387	C₂²	semidirect
77. C₁₃×#387	C₂²	semidirect
78. C₁₃×#387	C₂²	semidirect
79. C₁₃×#387	C₂²	semidirect
80. C₁₃×#387	C₂²	semidirect
95. C₁₃×#383	C₂²	semidirect
96. C₁₃×#382	C₂²	semidirect
97. C₁₃×#382	C₂²	semidirect
98. C₁₃×#382	C₂²	semidirect
99. C₁₃×#381	C₂²	semidirect
106. C₁₃×#380	C₂²	semidirect
108. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
109. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
110. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
120. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
241. #35023	C₁₃	direct (N × H)
375. #2851	C₂×C₁₃	semidirect
376. #2850	C₂×C₁₃	semidirect
377. #2848	C₂×C₁₃	semidirect
379. #2643	C₂×C₁₃	semidirect
380. #2622	C₂×C₁₃	semidirect
381. #2597	C₂×C₁₃	semidirect
382. #2595	C₂×C₁₃	semidirect
383. #2578	C₂×C₁₃	semidirect
384. #2576	C₂×C₁₃	semidirect
385. #2495	C₂×C₁₃	semidirect
386. #2494	C₂×C₁₃	semidirect
387. #2490	C₂×C₁₃	semidirect
388. #2489	C₂×C₁₃	semidirect
389. #2427	C₂×C₁₃	semidirect
390. #2426	C₂×C₁₃	semidirect
391. #2421	C₂×C₁₃	semidirect
392. #2420	C₂×C₁₃	semidirect
393. #2321	C₂×C₁₃	semidirect
394. #2318	C₂×C₁₃	semidirect
395. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
396. C₄×#121	C₂×C₁₃	semidirect
397. C₂×C₄×C₂²⋊C₄	C₂×C₁₃	semidirect
508. C₂×#125	C₂²×C₁₃	semidirect
509. C₂×#124	C₂²×C₁₃	semidirect
517. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
519. C₂×C₄×D₄	C₂²×C₁₃	semidirect
524. #401	C₂²×C₁₃	semidirect
525. #400	C₂²×C₁₃	semidirect
526. #400	C₂²×C₁₃	semidirect
527. #400	C₂²×C₁₃	semidirect
532. #397	C₂²×C₁₃	semidirect
533. #397	C₂²×C₁₃	semidirect
534. #397	C₂²×C₁₃	semidirect
535. #396	C₂²×C₁₃	semidirect
540. #391	C₂²×C₁₃	semidirect
541. #391	C₂²×C₁₃	semidirect
544. #390	C₂²×C₁₃	semidirect
545. #390	C₂²×C₁₃	semidirect
546. #389	C₂²×C₁₃	semidirect
547. #389	C₂²×C₁₃	semidirect
548. #389	C₂²×C₁₃	semidirect
549. #389	C₂²×C₁₃	semidirect
554. #388	C₂²×C₁₃	semidirect
555. #388	C₂²×C₁₃	semidirect
556. #388	C₂²×C₁₃	semidirect
557. #388	C₂²×C₁₃	semidirect
558. #388	C₂²×C₁₃	semidirect
559. #387	C₂²×C₁₃	semidirect
560. #387	C₂²×C₁₃	semidirect
561. #387	C₂²×C₁₃	semidirect
562. #387	C₂²×C₁₃	semidirect
563. #387	C₂²×C₁₃	semidirect
578. #383	C₂²×C₁₃	semidirect
579. #382	C₂²×C₁₃	semidirect
580. #382	C₂²×C₁₃	semidirect
581. #382	C₂²×C₁₃	semidirect
582. #381	C₂²×C₁₃	semidirect
589. #380	C₂²×C₁₃	semidirect
591. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
592. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
593. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
603. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
923. C₁₃	#35023	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#2851	2
C₁₃×#2850	2
C₁₃×#2848	2
C₁₃×#2847	2
C₁₃×#2643	2
C₁₃×#2622	2
C₁₃×#2597	2
C₁₃×#2595	2
C₁₃×#2578	2
C₁₃×#2576	2
C₁₃×#2495	2
C₁₃×#2494	2
C₁₃×#2490	2
C₁₃×#2489	2
C₁₃×#2427	2
C₁₃×#2426	2
C₁₃×#2421	2
C₁₃×#2420	2
C₁₃×#2321	2
C₁₃×#2318	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#121	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
#35023	13

Subgroups — C13×#35023 #15721362

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#35023 #15721362