Subgroups — C₁₃×#35025 #15721364

Order 3328.

2176 conjugacy classes of subgroups.

The subgroup lattice has 1112 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2861	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2860	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2854	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2651	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2648	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2593	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2554	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2513	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2490	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2480	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2448	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2442	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2435	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2426	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2418	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2417	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2408	C₂	1	1	yes	maximal, characteristic
19	C₁₃×#2321	C₂	1	2	yes	maximal, complemented
20	C₁₃×#2312	C₂	1	2	yes	maximal, complemented
21	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#390	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
26	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
30	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#120	C₂²	1	2	yes	—
35	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
41	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
42	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
43	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#400	C₂²	1	2	yes	complemented
45	C₁₃×#399	C₂²	1	2	yes	complemented
46	C₁₃×#398	C₂²	1	2	yes	complemented
47	C₁₃×#398	C₂²	1	2	yes	complemented
48	C₁₃×#397	C₂²	1	2	yes	complemented
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×#396	C₂²	1	2	yes	complemented
54	C₁₃×#394	C₂²	1	2	yes	—
55	C₁₃×#394	C₂²	1	2	yes	—
56	C₁₃×#394	C₂²	1	2	yes	—
57	C₁₃×#394	C₂²	1	2	yes	complemented
58	C₁₃×#394	C₂²	1	2	yes	complemented
59	C₁₃×#392	C₂²	1	2	yes	—
60	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#390	C₂²	1	1	yes	characteristic
63	C₁₃×#390	C₂²	1	1	yes	characteristic
64	C₁₃×#390	C₂²	1	1	yes	characteristic
65	C₁₃×#390	C₂²	1	2	yes	—
66	C₁₃×#390	C₂²	1	1	yes	characteristic
67	C₁₃×#390	C₂²	1	1	yes	characteristic
68	C₁₃×#390	C₂²	1	2	yes	—
69	C₁₃×#390	C₂²	1	1	yes	characteristic
70	C₁₃×#390	C₂²	1	1	yes	characteristic
71	C₁₃×#390	C₂²	1	1	yes	characteristic
72	C₁₃×#390	C₂²	1	2	yes	complemented
73	C₁₃×#390	C₂²	1	2	yes	complemented
74	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#388	C₂²	1	2	yes	complemented
79	C₁₃×#388	C₂²	1	2	yes	complemented
80	C₁₃×#388	C₂²	1	2	yes	complemented
81	C₁₃×#388	C₂²	1	2	yes	complemented
82	C₁₃×#388	C₂²	1	2	yes	complemented
83	C₁₃×#388	C₂²	1	2	yes	complemented
84	C₁₃×#388	C₂²	1	2	yes	complemented
85	C₁₃×#388	C₂²	1	2	yes	complemented
86	C₁₃×#388	C₂²	1	2	yes	complemented
87	C₁₃×#388	C₂²	1	2	yes	complemented
88	C₁₃×#388	C₂²	1	2	yes	complemented
89	C₁₃×#388	C₂²	1	2	yes	complemented
90	C₁₃×#388	C₂²	1	2	yes	complemented
91	C₁₃×#388	C₂²	1	2	yes	complemented
92	C₁₃×#388	C₂²	1	2	yes	complemented
93	C₁₃×#388	C₂²	1	2	yes	complemented
94	C₁₃×#388	C₂²	1	2	yes	complemented
95	C₁₃×#387	C₂²	1	2	yes	complemented
96	C₁₃×#386	C₂²	1	2	yes	—
97	C₁₃×#386	C₂²	1	2	yes	complemented
98	C₁₃×#386	C₂²	1	2	yes	complemented
99	C₁₃×#386	C₂²	1	2	yes	complemented
100	C₁₃×#385	C₂²	1	2	yes	—
101	C₁₃×#385	C₂²	1	2	yes	—
102	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#380	C₂²	1	1	yes	characteristic
104	C₁₃×#380	C₂²	1	2	yes	—
105	C₁₃×#380	C₂²	1	2	yes	—
106	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#379	C₂²	1	2	yes	—
108	C₁₃×#379	C₂²	1	2	yes	—
109	C₁₃×#379	C₂²	1	2	yes	—
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, 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	2	yes	complemented
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	2	yes	—
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
122	C₄³×C₁₃	C₂²	1	1	yes	characteristic, complemented
123	C₂⁵×C₁₃	C₂³	1	2	yes	—
124	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
125	C₂²×D₄×C₁₃	—	2	4	no	—
126	C₂²×D₄×C₁₃	—	4	2	no	—
127	C₂²×D₄×C₁₃	—	4	2	no	—
128	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
132	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic
138	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×#126	—	4	4	no	—
142	C₁₃×#125	—	4	2	no	—
143	C₁₃×#124	—	4	2	no	—
144	C₁₃×#124	—	4	2	no	—
145	C₁₃×#123	—	4	4	no	—
146	C₁₃×C₂²⋊Q₈	—	2	4	no	—
147	C₁₃×C₂²⋊Q₈	—	4	2	no	—
148	C₁₃×#121	—	4	2	no	—
149	C₁₃×#121	—	4	2	no	—
150	C₁₃×#120	—	2	8	no	—
151	C₄×Q₈×C₁₃	—	4	2	no	—
152	C₄×D₄×C₁₃	—	2	4	no	—
153	C₄×D₄×C₁₃	—	2	4	no	—
154	C₄×D₄×C₁₃	—	2	4	no	—
155	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
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	1	yes	characteristic
160	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
162	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
168	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
169	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
170	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
171	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
172	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
173	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
174	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
175	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
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	2	yes	—
180	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₁₃×C₂²⋊C₄	C₂³	1	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×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₃	—	4	2	no	—
209	C₂×C₄²×C₁₃	—	4	2	no	—
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
220	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
225	C₁₃×#95	C₂³	1	1	yes	characteristic
226	C₁₃×#95	C₂³	1	1	yes	characteristic
227	C₁₃×#95	C₂³	1	1	yes	characteristic
228	C₁₃×#95	C₂³	1	1	yes	characteristic
229	C₁₃×#95	C₂³	1	1	yes	characteristic
230	C₁₃×#95	C₂³	1	1	yes	characteristic
231	C₁₃×#95	C₂³	1	2	yes	—
232	C₁₃×#95	C₂³	1	2	yes	—
233	C₁₃×#95	C₂³	1	2	yes	—
234	C₁₃×#95	C₂³	1	2	yes	—
235	C₁₃×#95	C₂³	1	2	yes	—
236	C₁₃×#95	C₂³	1	2	yes	—
237	C₁₃×#95	C₂³	1	2	yes	—
238	C₁₃×#95	C₂³	1	2	yes	—
239	C₁₃×#95	C₂³	1	2	yes	—
240	C₁₃×#95	C₂³	1	2	yes	—
241	C₁₃×#95	C₂³	1	2	yes	—
242	C₁₃×#95	C₂³	1	2	yes	—
243	C₁₃×#95	C₂³	1	2	yes	—
244	#35025	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
245	C₂⁴×C₁₃	—	2	4	no	—
246	C₂⁴×C₁₃	—	2	4	no	—
247	C₂⁴×C₁₃	—	2	4	no	—
248	C₂⁴×C₁₃	—	4	2	no	—
249	C₂⁴×C₁₃	—	4	2	no	—
250	C₂⁴×C₁₃	—	4	2	no	—
251	C₂⁴×C₁₃	—	4	2	no	—
252	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
253	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
254	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
255	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
256	C₂×Q₈×C₁₃	—	2	2	no	—
257	C₂×Q₈×C₁₃	—	2	2	no	—
258	C₂×Q₈×C₁₃	—	2	2	no	—
259	C₂×D₄×C₁₃	—	2	2	no	—
260	C₂×D₄×C₁₃	—	2	2	no	—
261	C₂×D₄×C₁₃	—	2	4	no	—
262	C₂×D₄×C₁₃	—	2	4	no	—
263	C₂×D₄×C₁₃	—	2	4	no	—
264	C₂×D₄×C₁₃	—	2	2	no	—
265	C₂×D₄×C₁₃	—	2	2	no	—
266	C₂×D₄×C₁₃	—	2	2	no	—
267	C₂×D₄×C₁₃	—	2	2	no	—
268	C₂×D₄×C₁₃	—	2	2	no	—
269	C₂×D₄×C₁₃	—	2	2	no	—
270	C₂×D₄×C₁₃	—	4	2	no	—
271	C₂×D₄×C₁₃	—	4	2	no	—
272	C₂×D₄×C₁₃	—	4	16	no	—
273	C₂×D₄×C₁₃	—	4	2	no	—
274	C₂×D₄×C₁₃	—	4	2	no	—
275	C₂×D₄×C₁₃	—	4	2	no	—
276	C₂×D₄×C₁₃	—	4	2	no	—
277	C₂×D₄×C₁₃	#41	1	4	yes	—
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	—	2	2	no	—
284	C₂²×C₄×C₁₃	—	2	2	no	—
285	C₂²×C₄×C₁₃	—	2	2	no	—
286	C₂²×C₄×C₁₃	—	2	2	no	—
287	C₂²×C₄×C₁₃	—	2	2	no	—
288	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
296	C₂²×C₄×C₁₃	—	4	2	no	—
297	C₂²×C₄×C₁₃	#41	1	4	yes	—
298	C₂²×C₄×C₁₃	#41	1	4	yes	—
299	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	yes	—
307	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
311	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
312	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
313	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
318	C₁₃×C₄⋊C₄	—	2	2	no	—
319	C₁₃×C₄⋊C₄	—	2	2	no	—
320	C₁₃×C₄⋊C₄	—	2	2	no	—
321	C₁₃×C₄⋊C₄	—	2	2	no	—
322	C₁₃×C₄⋊C₄	—	2	4	no	—
323	C₁₃×C₄⋊C₄	—	2	2	no	—
324	C₁₃×C₄⋊C₄	—	2	2	no	—
325	C₁₃×C₄⋊C₄	—	2	2	no	—
326	C₁₃×C₄⋊C₄	—	2	2	no	—
327	C₁₃×C₄⋊C₄	—	2	4	no	—
328	C₁₃×C₄⋊C₄	—	4	2	no	—
329	C₁₃×C₄⋊C₄	—	4	2	no	—
330	C₁₃×C₄⋊C₄	—	4	2	no	—
331	C₁₃×C₄⋊C₄	—	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×C₂²⋊C₄	—	2	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	4	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	4	no	—
349	C₁₃×C₂²⋊C₄	—	2	4	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	C₁₃×C₂²⋊C₄	—	4	2	no	—
365	C₁₃×C₂²⋊C₄	—	4	2	no	—
366	C₁₃×C₂²⋊C₄	—	4	2	no	—
367	C₁₃×C₂²⋊C₄	—	4	2	no	—
368	C₄²×C₁₃	—	2	2	no	—
369	C₄²×C₁₃	—	2	2	no	—
370	C₄²×C₁₃	—	2	2	no	—
371	C₄²×C₁₃	—	2	2	no	—
372	C₄²×C₁₃	—	2	2	no	—
373	C₄²×C₁₃	—	2	2	no	—
374	C₄²×C₁₃	—	2	2	no	—
375	C₄²×C₁₃	—	2	2	no	—
376	C₄²×C₁₃	—	4	1	no	—
377	C₄²×C₁₃	—	4	1	no	—
378	C₄²×C₁₃	—	4	1	no	—
379	C₄²×C₁₃	—	4	1	no	—
380	C₄²×C₁₃	—	4	2	no	—
381	C₄²×C₁₃	—	4	1	no	—
382	C₄²×C₁₃	—	4	2	no	—
383	#2861	C₂×C₁₃	1	1	yes	characteristic, complemented
384	#2860	C₂×C₁₃	1	1	yes	characteristic, complemented
385	#2854	C₂×C₁₃	1	1	yes	characteristic, complemented
386	#2850	C₂×C₁₃	1	1	yes	characteristic, complemented
387	#2651	C₂×C₁₃	1	2	yes	complemented
388	#2648	C₂×C₁₃	1	2	yes	complemented
389	#2593	C₂×C₁₃	1	2	yes	complemented
390	#2554	C₂×C₁₃	1	2	yes	complemented
391	#2513	C₂×C₁₃	1	1	yes	characteristic, complemented
392	#2490	C₂×C₁₃	1	1	yes	characteristic, complemented
393	#2480	C₂×C₁₃	1	2	yes	complemented
394	#2448	C₂×C₁₃	1	1	yes	characteristic, complemented
395	#2442	C₂×C₁₃	1	1	yes	characteristic, complemented
396	#2435	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#2426	C₂×C₁₃	1	1	yes	characteristic, complemented
398	#2418	C₂×C₁₃	1	2	yes	complemented
399	#2417	C₂×C₁₃	1	1	yes	characteristic, complemented
400	#2408	C₂×C₁₃	1	1	yes	characteristic
401	#2321	C₂×C₁₃	1	2	yes	complemented
402	#2312	C₂×C₁₃	1	2	yes	complemented
403	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
404	C₂×#390	C₂×C₁₃	1	1	yes	characteristic, complemented
405	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
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	1	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	—	2	2	no	—
423	C₂³×C₁₃	—	2	2	no	—
424	C₂³×C₁₃	—	2	2	no	—
425	C₂³×C₁₃	—	2	2	no	—
426	C₂³×C₁₃	—	2	2	no	—
427	C₂³×C₁₃	—	2	2	no	—
428	C₂³×C₁₃	—	2	2	no	—
429	C₂³×C₁₃	—	2	2	no	—
430	C₂³×C₁₃	—	4	8	no	—
431	C₂³×C₁₃	—	4	8	no	—
432	C₂³×C₁₃	—	4	8	no	—
433	C₂³×C₁₃	—	8	4	no	—
434	C₂³×C₁₃	—	8	4	no	—
435	C₂³×C₁₃	—	8	4	no	—
436	C₂³×C₁₃	—	8	4	no	—
437	C₂³×C₁₃	C₂×#41	1	2	yes	—
438	C₂³×C₁₃	C₂×#41	1	2	yes	—
439	C₂³×C₁₃	C₂×#41	1	2	yes	—
440	C₂³×C₁₃	C₂×#41	1	2	yes	—
441	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
442	Q₈×C₁₃	—	4	4	no	—
443	D₄×C₁₃	—	2	8	no	—
444	D₄×C₁₃	—	4	8	no	—
445	D₄×C₁₃	—	4	4	no	—
446	D₄×C₁₃	—	4	4	no	—
447	D₄×C₁₃	—	8	4	no	—
448	D₄×C₁₃	—	8	4	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	1	no	—
455	C₂×C₄×C₁₃	—	2	1	no	—
456	C₂×C₄×C₁₃	—	2	1	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	1	no	—
459	C₂×C₄×C₁₃	—	2	8	no	—
460	C₂×C₄×C₁₃	—	2	1	no	—
461	C₂×C₄×C₁₃	—	2	1	no	—
462	C₂×C₄×C₁₃	—	2	1	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	2	no	—
465	C₂×C₄×C₁₃	—	2	2	no	—
466	C₂×C₄×C₁₃	—	2	2	no	—
467	C₂×C₄×C₁₃	—	2	2	no	—
468	C₂×C₄×C₁₃	—	2	1	no	—
469	C₂×C₄×C₁₃	—	2	1	no	—
470	C₂×C₄×C₁₃	—	2	1	no	—
471	C₂×C₄×C₁₃	—	2	1	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	1	no	—
476	C₂×C₄×C₁₃	—	2	1	no	—
477	C₂×C₄×C₁₃	—	2	1	no	—
478	C₂×C₄×C₁₃	—	2	1	no	—
479	C₂×C₄×C₁₃	—	2	1	no	—
480	C₂×C₄×C₁₃	—	2	1	no	—
481	C₂×C₄×C₁₃	—	2	2	no	—
482	C₂×C₄×C₁₃	—	2	2	no	—
483	C₂×C₄×C₁₃	—	2	2	no	—
484	C₂×C₄×C₁₃	—	2	2	no	—
485	C₂×C₄×C₁₃	—	2	1	no	—
486	C₂×C₄×C₁₃	—	2	2	no	—
487	C₂×C₄×C₁₃	—	2	2	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	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	1	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	1	no	—
499	C₂×C₄×C₁₃	—	4	4	no	—
500	C₂×C₄×C₁₃	—	4	4	no	—
501	C₂×C₄×C₁₃	—	4	4	no	—
502	C₂×C₄×C₁₃	—	4	4	no	—
503	C₂×C₄×C₁₃	—	4	4	no	—
504	C₂×C₄×C₁₃	—	8	4	no	—
505	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
506	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
507	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
508	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
509	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
510	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
511	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
512	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
513	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
514	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
515	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
516	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
517	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
518	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
519	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
520	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
521	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
522	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
523	C₂×#120	C₂²×C₁₃	1	2	yes	—
524	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
525	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
526	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
527	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
528	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
529	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
530	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
531	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
532	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
533	#400	C₂²×C₁₃	1	2	yes	complemented
534	#399	C₂²×C₁₃	1	2	yes	complemented
535	#398	C₂²×C₁₃	1	2	yes	complemented
536	#398	C₂²×C₁₃	1	2	yes	complemented
537	#397	C₂²×C₁₃	1	2	yes	complemented
538	#397	C₂²×C₁₃	1	2	yes	complemented
539	#397	C₂²×C₁₃	1	2	yes	complemented
540	#397	C₂²×C₁₃	1	2	yes	complemented
541	#396	C₂²×C₁₃	1	2	yes	complemented
542	#396	C₂²×C₁₃	1	2	yes	complemented
543	#394	C₂²×C₁₃	1	2	yes	—
544	#394	C₂²×C₁₃	1	2	yes	—
545	#394	C₂²×C₁₃	1	2	yes	—
546	#394	C₂²×C₁₃	1	2	yes	complemented
547	#394	C₂²×C₁₃	1	2	yes	complemented
548	#392	C₂²×C₁₃	1	2	yes	—
549	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
550	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
551	#390	C₂²×C₁₃	1	2	yes	—
552	#390	C₂²×C₁₃	1	1	yes	characteristic
553	#390	C₂²×C₁₃	1	1	yes	characteristic
554	#390	C₂²×C₁₃	1	1	yes	characteristic
555	#390	C₂²×C₁₃	1	1	yes	characteristic
556	#390	C₂²×C₁₃	1	1	yes	characteristic
557	#390	C₂²×C₁₃	1	1	yes	characteristic
558	#390	C₂²×C₁₃	1	2	yes	—
559	#390	C₂²×C₁₃	1	1	yes	characteristic
560	#390	C₂²×C₁₃	1	1	yes	characteristic
561	#390	C₂²×C₁₃	1	2	yes	complemented
562	#390	C₂²×C₁₃	1	2	yes	complemented
563	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
564	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
565	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
566	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#388	C₂²×C₁₃	1	2	yes	complemented
568	#388	C₂²×C₁₃	1	2	yes	complemented
569	#388	C₂²×C₁₃	1	2	yes	complemented
570	#388	C₂²×C₁₃	1	2	yes	complemented
571	#388	C₂²×C₁₃	1	2	yes	complemented
572	#388	C₂²×C₁₃	1	2	yes	complemented
573	#388	C₂²×C₁₃	1	2	yes	complemented
574	#388	C₂²×C₁₃	1	2	yes	complemented
575	#388	C₂²×C₁₃	1	2	yes	complemented
576	#388	C₂²×C₁₃	1	2	yes	complemented
577	#388	C₂²×C₁₃	1	2	yes	complemented
578	#388	C₂²×C₁₃	1	2	yes	complemented
579	#388	C₂²×C₁₃	1	2	yes	complemented
580	#388	C₂²×C₁₃	1	2	yes	complemented
581	#388	C₂²×C₁₃	1	2	yes	complemented
582	#388	C₂²×C₁₃	1	2	yes	complemented
583	#388	C₂²×C₁₃	1	2	yes	complemented
584	#387	C₂²×C₁₃	1	2	yes	complemented
585	#386	C₂²×C₁₃	1	2	yes	—
586	#386	C₂²×C₁₃	1	2	yes	complemented
587	#386	C₂²×C₁₃	1	2	yes	complemented
588	#386	C₂²×C₁₃	1	2	yes	complemented
589	#385	C₂²×C₁₃	1	2	yes	—
590	#385	C₂²×C₁₃	1	2	yes	—
591	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#380	C₂²×C₁₃	1	2	yes	—
593	#380	C₂²×C₁₃	1	2	yes	—
594	#380	C₂²×C₁₃	1	1	yes	characteristic
595	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#379	C₂²×C₁₃	1	2	yes	—
597	#379	C₂²×C₁₃	1	2	yes	—
598	#379	C₂²×C₁₃	1	2	yes	—
599	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
601	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
605	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
606	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
607	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
608	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
610	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	C₄³	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	—	2	2	no	—
619	C₂²×C₁₃	—	2	2	no	—
620	C₂²×C₁₃	—	2	2	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	2	no	—
626	C₂²×C₁₃	—	4	2	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	—	4	2	no	—
635	C₂²×C₁₃	—	4	2	no	—
636	C₂²×C₁₃	—	4	2	no	—
637	C₂²×C₁₃	—	4	2	no	—
638	C₂²×C₁₃	—	4	2	no	—
639	C₂²×C₁₃	—	8	16	no	—
640	C₂²×C₁₃	#529	1	4	yes	—
641	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
642	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
643	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
644	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
645	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
646	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
647	C₂²×C₁₃	#585	1	1	yes	characteristic
648	C₄×C₁₃	—	2	2	no	—
649	C₄×C₁₃	—	2	2	no	—
650	C₄×C₁₃	—	2	2	no	—
651	C₄×C₁₃	—	2	2	no	—
652	C₄×C₁₃	—	2	2	no	—
653	C₄×C₁₃	—	4	1	no	—
654	C₄×C₁₃	—	4	2	no	—
655	C₄×C₁₃	—	4	1	no	—
656	C₄×C₁₃	—	4	2	no	—
657	C₄×C₁₃	—	4	1	no	—
658	C₄×C₁₃	—	4	1	no	—
659	C₄×C₁₃	—	4	2	no	—
660	C₄×C₁₃	—	4	2	no	—
661	C₄×C₁₃	—	4	1	no	—
662	C₄×C₁₃	—	4	2	no	—
663	C₄×C₁₃	—	4	1	no	—
664	C₄×C₁₃	—	4	1	no	—
665	C₄×C₁₃	—	4	2	no	—
666	C₄×C₁₃	#538	1	4	yes	—
667	C₂⁵	C₂³×C₁₃	1	2	yes	—
668	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
669	C₂²×D₄	—	2	4	no	—
670	C₂²×D₄	—	4	2	no	—
671	C₂²×D₄	—	4	2	no	—
672	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
673	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
674	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
675	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
676	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
677	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
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	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
682	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
683	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
684	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
685	#126	—	4	4	no	—
686	#125	—	4	2	no	—
687	#124	—	4	2	no	—
688	#124	—	4	2	no	—
689	#123	—	4	4	no	—
690	C₂²⋊Q₈	—	2	4	no	—
691	C₂²⋊Q₈	—	4	2	no	—
692	#121	—	4	2	no	—
693	#121	—	4	2	no	—
694	#120	—	2	8	no	—
695	C₄×Q₈	—	4	2	no	—
696	C₄×D₄	—	2	4	no	—
697	C₄×D₄	—	2	4	no	—
698	C₄×D₄	—	2	4	no	—
699	C₂×C₄⋊C₄	—	4	2	no	—
700	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
709	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
710	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
711	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
712	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
713	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
714	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
715	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
716	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
717	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
718	C₂×C₂²⋊C₄	—	2	8	no	—
719	C₂×C₂²⋊C₄	—	4	4	no	—
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	1	yes	characteristic
727	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
728	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
730	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
749	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
750	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
751	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
752	C₂×C₄²	—	4	2	no	—
753	C₂×C₄²	—	4	2	no	—
754	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
755	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
756	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
757	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
759	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
760	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
761	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
762	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
763	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
764	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
765	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
766	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
767	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
768	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
769	#95	C₂³×C₁₃	1	1	yes	characteristic
770	#95	C₂³×C₁₃	1	1	yes	characteristic
771	#95	C₂³×C₁₃	1	1	yes	characteristic
772	#95	C₂³×C₁₃	1	1	yes	characteristic
773	#95	C₂³×C₁₃	1	1	yes	characteristic
774	#95	C₂³×C₁₃	1	1	yes	characteristic
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	#95	C₂³×C₁₃	1	2	yes	—
780	#95	C₂³×C₁₃	1	2	yes	—
781	#95	C₂³×C₁₃	1	2	yes	—
782	#95	C₂³×C₁₃	1	2	yes	—
783	#95	C₂³×C₁₃	1	2	yes	—
784	#95	C₂³×C₁₃	1	2	yes	—
785	#95	C₂³×C₁₃	1	2	yes	—
786	#95	C₂³×C₁₃	1	2	yes	—
787	#95	C₂³×C₁₃	1	2	yes	—
788	C₂×C₁₃	—	2	4	no	—
789	C₂×C₁₃	—	4	2	no	—
790	C₂×C₁₃	—	8	2	no	—
791	C₂×C₁₃	—	8	2	no	—
792	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
793	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
794	C₂×C₁₃	#3460	1	1	yes	characteristic
795	C₂×C₁₃	#3505	1	1	yes	characteristic
796	C₂×C₁₃	#3508	1	1	yes	characteristic
797	C₂×C₁₃	#3514	1	1	yes	characteristic
798	C₂×C₁₃	#3519	1	1	yes	characteristic
799	C₂⁴	—	2	4	no	—
800	C₂⁴	—	2	4	no	—
801	C₂⁴	—	2	4	no	—
802	C₂⁴	—	4	2	no	—
803	C₂⁴	—	4	2	no	—
804	C₂⁴	—	4	2	no	—
805	C₂⁴	—	4	2	no	—
806	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
807	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
808	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
809	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
810	C₂×Q₈	—	2	2	no	—
811	C₂×Q₈	—	2	2	no	—
812	C₂×Q₈	—	2	2	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	2	2	no	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	2	4	no	—
817	C₂×D₄	—	2	4	no	—
818	C₂×D₄	—	2	2	no	—
819	C₂×D₄	—	2	2	no	—
820	C₂×D₄	—	2	2	no	—
821	C₂×D₄	—	2	2	no	—
822	C₂×D₄	—	2	2	no	—
823	C₂×D₄	—	2	2	no	—
824	C₂×D₄	—	4	2	no	—
825	C₂×D₄	—	4	2	no	—
826	C₂×D₄	—	4	16	no	—
827	C₂×D₄	—	4	2	no	—
828	C₂×D₄	—	4	2	no	—
829	C₂×D₄	—	4	2	no	—
830	C₂×D₄	—	4	2	no	—
831	C₂×D₄	C₁₃×#41	1	4	yes	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	4	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	2	no	—
839	C₂²×C₄	—	2	2	no	—
840	C₂²×C₄	—	2	2	no	—
841	C₂²×C₄	—	2	2	no	—
842	C₂²×C₄	—	2	2	no	—
843	C₂²×C₄	—	4	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	—	4	1	no	—
847	C₂²×C₄	—	4	1	no	—
848	C₂²×C₄	—	4	1	no	—
849	C₂²×C₄	—	4	2	no	—
850	C₂²×C₄	—	4	2	no	—
851	C₂²×C₄	C₁₃×#41	1	4	yes	—
852	C₂²×C₄	C₁₃×#41	1	4	yes	—
853	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
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	1	yes	characteristic
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	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
871	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	2	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	4	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	2	2	no	—
880	C₄⋊C₄	—	2	2	no	—
881	C₄⋊C₄	—	2	4	no	—
882	C₄⋊C₄	—	4	2	no	—
883	C₄⋊C₄	—	4	2	no	—
884	C₄⋊C₄	—	4	2	no	—
885	C₄⋊C₄	—	4	2	no	—
886	C₄⋊C₄	—	4	2	no	—
887	C₄⋊C₄	—	4	2	no	—
888	C₄⋊C₄	—	4	2	no	—
889	C₄⋊C₄	—	4	2	no	—
890	C₂²⋊C₄	—	2	2	no	—
891	C₂²⋊C₄	—	2	2	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	—	2	4	no	—
895	C₂²⋊C₄	—	2	4	no	—
896	C₂²⋊C₄	—	2	4	no	—
897	C₂²⋊C₄	—	2	4	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	4	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	2	4	no	—
904	C₂²⋊C₄	—	2	4	no	—
905	C₂²⋊C₄	—	2	4	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	C₂²⋊C₄	—	4	2	no	—
913	C₂²⋊C₄	—	4	2	no	—
914	C₂²⋊C₄	—	4	2	no	—
915	C₂²⋊C₄	—	4	2	no	—
916	C₂²⋊C₄	—	4	2	no	—
917	C₂²⋊C₄	—	4	2	no	—
918	C₂²⋊C₄	—	4	2	no	—
919	C₂²⋊C₄	—	4	2	no	—
920	C₂²⋊C₄	—	4	2	no	—
921	C₂²⋊C₄	—	4	2	no	—
922	C₄²	—	2	2	no	—
923	C₄²	—	2	2	no	—
924	C₄²	—	2	2	no	—
925	C₄²	—	2	2	no	—
926	C₄²	—	2	2	no	—
927	C₄²	—	2	2	no	—
928	C₄²	—	2	2	no	—
929	C₄²	—	2	2	no	—
930	C₄²	—	4	1	no	—
931	C₄²	—	4	1	no	—
932	C₄²	—	4	1	no	—
933	C₄²	—	4	1	no	—
934	C₄²	—	4	2	no	—
935	C₄²	—	4	2	no	—
936	C₄²	—	4	1	no	—
937	C₁₃	#35025	1	1	yes	characteristic, direct product factor, Sylow
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	1	no	—
944	C₂³	—	2	1	no	—
945	C₂³	—	2	1	no	—
946	C₂³	—	2	1	no	—
947	C₂³	—	2	1	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	2	2	no	—
951	C₂³	—	2	2	no	—
952	C₂³	—	2	2	no	—
953	C₂³	—	2	2	no	—
954	C₂³	—	2	2	no	—
955	C₂³	—	2	2	no	—
956	C₂³	—	2	2	no	—
957	C₂³	—	2	2	no	—
958	C₂³	—	2	2	no	—
959	C₂³	—	2	2	no	—
960	C₂³	—	2	2	no	—
961	C₂³	—	2	2	no	—
962	C₂³	—	4	8	no	—
963	C₂³	—	4	8	no	—
964	C₂³	—	4	8	no	—
965	C₂³	—	8	4	no	—
966	C₂³	—	8	4	no	—
967	C₂³	—	8	4	no	—
968	C₂³	—	8	4	no	—
969	C₂³	C₂×C₁₃×#41	1	2	yes	—
970	C₂³	C₂×C₁₃×#41	1	2	yes	—
971	C₂³	C₂×C₁₃×#41	1	2	yes	—
972	C₂³	C₂×C₁₃×#41	1	2	yes	—
973	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
974	Q₈	—	4	4	no	—
975	D₄	—	2	8	no	—
976	D₄	—	4	8	no	—
977	D₄	—	4	4	no	—
978	D₄	—	4	4	no	—
979	D₄	—	8	4	no	—
980	D₄	—	8	4	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	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	8	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	2	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	2	no	—
1019	C₂×C₄	—	2	2	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	4	4	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	4	4	no	—
1036	C₂×C₄	—	8	4	no	—
1037	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1038	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1039	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1040	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1041	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1042	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1043	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1044	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1045	C₂²	—	2	2	no	—
1046	C₂²	—	2	2	no	—
1047	C₂²	—	2	2	no	—
1048	C₂²	—	2	2	no	—
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	2	no	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	4	1	no	—
1056	C₂²	—	4	1	no	—
1057	C₂²	—	4	1	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	4	2	no	—
1063	C₂²	—	4	2	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	8	16	no	—
1073	C₂²	C₁₃×#529	1	4	yes	—
1074	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1075	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1076	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1077	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1078	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1079	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1080	C₂²	C₁₃×#585	1	1	yes	characteristic
1081	C₄	—	2	2	no	—
1082	C₄	—	2	2	no	—
1083	C₄	—	2	2	no	—
1084	C₄	—	2	2	no	—
1085	C₄	—	2	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	2	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	2	no	—
1091	C₄	—	4	1	no	—
1092	C₄	—	4	2	no	—
1093	C₄	—	4	1	no	—
1094	C₄	—	4	1	no	—
1095	C₄	—	4	2	no	—
1096	C₄	—	4	2	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	2	no	—
1099	C₄	C₁₃×#538	1	4	yes	—
1100	C₂	—	2	4	no	—
1101	C₂	—	4	2	no	—
1102	C₂	—	8	2	no	—
1103	C₂	—	8	2	no	—
1104	C₂	C₂×C₁₃×#529	1	1	yes	characteristic
1105	C₂	C₂×C₁₃×#538	1	1	yes	characteristic
1106	C₂	C₁₃×#3460	1	1	yes	characteristic
1107	C₂	C₁₃×#3505	1	1	yes	characteristic
1108	C₂	C₁₃×#3508	1	1	yes	characteristic
1109	C₂	C₁₃×#3514	1	1	yes	characteristic
1110	C₂	C₁₃×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₁₃×#2408	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×#2861	C₂	semidirect
2. C₁₃×#2860	C₂	semidirect
3. C₁₃×#2854	C₂	semidirect
4. C₁₃×#2850	C₂	semidirect
5. C₁₃×#2651	C₂	semidirect
6. C₁₃×#2648	C₂	semidirect
7. C₁₃×#2593	C₂	semidirect
8. C₁₃×#2554	C₂	semidirect
9. C₁₃×#2513	C₂	semidirect
10. C₁₃×#2490	C₂	semidirect
11. C₁₃×#2480	C₂	semidirect
12. C₁₃×#2448	C₂	semidirect
13. C₁₃×#2442	C₂	semidirect
14. C₁₃×#2435	C₂	semidirect
15. C₁₃×#2426	C₂	semidirect
16. C₁₃×#2418	C₂	semidirect
17. C₁₃×#2417	C₂	semidirect
19. C₁₃×#2321	C₂	semidirect
20. C₁₃×#2312	C₂	semidirect
21. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
22. C₂×C₁₃×#390	C₂	semidirect
23. C₄²×D₄×C₁₃	C₂	semidirect
25. C₂×C₁₃×#126	C₂²	semidirect
26. C₂×C₁₃×#125	C₂²	semidirect
29. C₂×C₁₃×#123	C₂²	semidirect
31. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
43. C₂²×C₄²×C₁₃	C₂²	semidirect
44. C₁₃×#400	C₂²	semidirect
45. C₁₃×#399	C₂²	semidirect
46. C₁₃×#398	C₂²	semidirect
47. C₁₃×#398	C₂²	semidirect
48. C₁₃×#397	C₂²	semidirect
49. C₁₃×#397	C₂²	semidirect
50. C₁₃×#397	C₂²	semidirect
51. C₁₃×#397	C₂²	semidirect
52. C₁₃×#396	C₂²	semidirect
53. C₁₃×#396	C₂²	semidirect
57. C₁₃×#394	C₂²	semidirect
58. C₁₃×#394	C₂²	semidirect
60. C₁₃×#391	C₂²	semidirect
61. C₁₃×#391	C₂²	semidirect
72. C₁₃×#390	C₂²	semidirect
73. C₁₃×#390	C₂²	semidirect
74. C₁₃×#389	C₂²	semidirect
75. C₁₃×#389	C₂²	semidirect
76. C₁₃×#389	C₂²	semidirect
77. C₁₃×#389	C₂²	semidirect
78. C₁₃×#388	C₂²	semidirect
79. C₁₃×#388	C₂²	semidirect
80. C₁₃×#388	C₂²	semidirect
81. C₁₃×#388	C₂²	semidirect
82. C₁₃×#388	C₂²	semidirect
83. C₁₃×#388	C₂²	semidirect
84. C₁₃×#388	C₂²	semidirect
85. C₁₃×#388	C₂²	semidirect
86. C₁₃×#388	C₂²	semidirect
87. C₁₃×#388	C₂²	semidirect
88. C₁₃×#388	C₂²	semidirect
89. C₁₃×#388	C₂²	semidirect
90. C₁₃×#388	C₂²	semidirect
91. C₁₃×#388	C₂²	semidirect
92. C₁₃×#388	C₂²	semidirect
93. C₁₃×#388	C₂²	semidirect
94. C₁₃×#388	C₂²	semidirect
95. C₁₃×#387	C₂²	semidirect
97. C₁₃×#386	C₂²	semidirect
98. C₁₃×#386	C₂²	semidirect
99. C₁₃×#386	C₂²	semidirect
102. C₁₃×#382	C₂²	semidirect
106. C₁₃×#380	C₂²	semidirect
110. C₄×C₁₃×C₄⋊C₄	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
119. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
120. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
121. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
122. C₄³×C₁₃	C₂²	semidirect
244. #35025	C₁₃	direct (N × H)
383. #2861	C₂×C₁₃	semidirect
384. #2860	C₂×C₁₃	semidirect
385. #2854	C₂×C₁₃	semidirect
386. #2850	C₂×C₁₃	semidirect
387. #2651	C₂×C₁₃	semidirect
388. #2648	C₂×C₁₃	semidirect
389. #2593	C₂×C₁₃	semidirect
390. #2554	C₂×C₁₃	semidirect
391. #2513	C₂×C₁₃	semidirect
392. #2490	C₂×C₁₃	semidirect
393. #2480	C₂×C₁₃	semidirect
394. #2448	C₂×C₁₃	semidirect
395. #2442	C₂×C₁₃	semidirect
396. #2435	C₂×C₁₃	semidirect
397. #2426	C₂×C₁₃	semidirect
398. #2418	C₂×C₁₃	semidirect
399. #2417	C₂×C₁₃	semidirect
401. #2321	C₂×C₁₃	semidirect
402. #2312	C₂×C₁₃	semidirect
403. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
404. C₂×#390	C₂×C₁₃	semidirect
405. C₄²×D₄	C₂×C₁₃	semidirect
514. C₂×#126	C₂²×C₁₃	semidirect
515. C₂×#125	C₂²×C₁₃	semidirect
518. C₂×#123	C₂²×C₁₃	semidirect
520. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
524. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
532. C₂²×C₄²	C₂²×C₁₃	semidirect
533. #400	C₂²×C₁₃	semidirect
534. #399	C₂²×C₁₃	semidirect
535. #398	C₂²×C₁₃	semidirect
536. #398	C₂²×C₁₃	semidirect
537. #397	C₂²×C₁₃	semidirect
538. #397	C₂²×C₁₃	semidirect
539. #397	C₂²×C₁₃	semidirect
540. #397	C₂²×C₁₃	semidirect
541. #396	C₂²×C₁₃	semidirect
542. #396	C₂²×C₁₃	semidirect
546. #394	C₂²×C₁₃	semidirect
547. #394	C₂²×C₁₃	semidirect
549. #391	C₂²×C₁₃	semidirect
550. #391	C₂²×C₁₃	semidirect
561. #390	C₂²×C₁₃	semidirect
562. #390	C₂²×C₁₃	semidirect
563. #389	C₂²×C₁₃	semidirect
564. #389	C₂²×C₁₃	semidirect
565. #389	C₂²×C₁₃	semidirect
566. #389	C₂²×C₁₃	semidirect
567. #388	C₂²×C₁₃	semidirect
568. #388	C₂²×C₁₃	semidirect
569. #388	C₂²×C₁₃	semidirect
570. #388	C₂²×C₁₃	semidirect
571. #388	C₂²×C₁₃	semidirect
572. #388	C₂²×C₁₃	semidirect
573. #388	C₂²×C₁₃	semidirect
574. #388	C₂²×C₁₃	semidirect
575. #388	C₂²×C₁₃	semidirect
576. #388	C₂²×C₁₃	semidirect
577. #388	C₂²×C₁₃	semidirect
578. #388	C₂²×C₁₃	semidirect
579. #388	C₂²×C₁₃	semidirect
580. #388	C₂²×C₁₃	semidirect
581. #388	C₂²×C₁₃	semidirect
582. #388	C₂²×C₁₃	semidirect
583. #388	C₂²×C₁₃	semidirect
584. #387	C₂²×C₁₃	semidirect
586. #386	C₂²×C₁₃	semidirect
587. #386	C₂²×C₁₃	semidirect
588. #386	C₂²×C₁₃	semidirect
591. #382	C₂²×C₁₃	semidirect
595. #380	C₂²×C₁₃	semidirect
599. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
600. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
601. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
602. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
603. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
608. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
609. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
610. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
611. C₄³	C₂²×C₁₃	semidirect
937. C₁₃	#35025	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×#2861	2
C₁₃×#2860	2
C₁₃×#2854	2
C₁₃×#2850	2
C₁₃×#2651	2
C₁₃×#2648	2
C₁₃×#2593	2
C₁₃×#2554	2
C₁₃×#2513	2
C₁₃×#2490	2
C₁₃×#2480	2
C₁₃×#2448	2
C₁₃×#2442	2
C₁₃×#2435	2
C₁₃×#2426	2
C₁₃×#2418	2
C₁₃×#2417	2
C₁₃×#2408	2
C₁₃×#2321	2
C₁₃×#2312	2
C₄×C₁₃×C₂²⋊Q₈	2
C₂×C₁₃×#390	2
C₄²×D₄×C₁₃	2
#35025	13

Subgroups — C13×#35025 #15721364

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#35025 #15721364