Subgroups — C₁₃×#36739 #15723078

Order 3328.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#534	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2856	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2850	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2718	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2710	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2706	C₂	1	2	yes	maximal, complemented
8	C₁₃×#2703	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2685	C₂	1	2	yes	maximal, complemented
10	C₁₃×#2678	C₂	1	2	yes	maximal, complemented
11	C₁₃×#2670	C₂	1	2	yes	maximal, complemented
12	C₁₃×#2669	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2656	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2639	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2543	C₂	1	2	yes	maximal, complemented
16	C₁₃×#2416	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2410	C₂	1	2	yes	maximal, complemented
18	C₁₃×#2410	C₂	1	2	yes	maximal, complemented
19	C₂×C₁₃×#388	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂³×D₄×C₁₃	C₂²	1	2	yes	—
21	C₁₃×#538	—	2	8	no	—
22	C₁₃×#534	—	2	8	no	—
23	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
25	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
26	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₁₃×#123	C₂²	1	2	yes	—
28	C₂×C₁₃×#123	C₂²	1	2	yes	—
29	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
30	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#121	C₂²	1	2	yes	—
32	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
36	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
37	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
38	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
40	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
41	C₂×C₁₃×#120	C₂²	1	2	yes	—
42	C₂×C₁₃×#120	C₂²	1	2	yes	—
43	C₂×C₁₃×#120	C₂²	1	2	yes	—
44	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
45	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
46	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
47	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
48	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#400	C₂²	1	2	yes	complemented
53	C₁₃×#399	C₂²	1	2	yes	complemented
54	C₁₃×#399	C₂²	1	2	yes	complemented
55	C₁₃×#398	C₂²	1	2	yes	complemented
56	C₁₃×#397	C₂²	1	2	yes	complemented
57	C₁₃×#397	C₂²	1	2	yes	complemented
58	C₁₃×#396	C₂²	1	2	yes	complemented
59	C₁₃×#396	C₂²	1	2	yes	complemented
60	C₁₃×#394	C₂²	1	2	yes	—
61	C₁₃×#394	C₂²	1	2	yes	—
62	C₁₃×#394	C₂²	1	2	yes	—
63	C₁₃×#394	C₂²	1	2	yes	—
64	C₁₃×#394	C₂²	1	2	yes	complemented
65	C₁₃×#394	C₂²	1	2	yes	complemented
66	C₁₃×#394	C₂²	1	2	yes	complemented
67	C₁₃×#394	C₂²	1	2	yes	complemented
68	C₁₃×#393	C₂²	1	2	yes	complemented
69	C₁₃×#392	C₂²	1	2	yes	—
70	C₁₃×#392	C₂²	1	2	yes	—
71	C₁₃×#392	C₂²	1	2	yes	—
72	C₁₃×#392	C₂²	1	2	yes	—
73	C₁₃×#392	C₂²	1	2	yes	complemented
74	C₁₃×#392	C₂²	1	2	yes	complemented
75	C₁₃×#392	C₂²	1	2	yes	complemented
76	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#390	C₂²	1	2	yes	complemented
79	C₁₃×#390	C₂²	1	2	yes	complemented
80	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#390	C₂²	1	2	yes	complemented
83	C₁₃×#389	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×#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×#386	C₂²	1	2	yes	complemented
100	C₁₃×#385	C₂²	1	2	yes	complemented
101	C₁₃×#385	C₂²	1	2	yes	complemented
102	C₁₃×#384	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#380	C₂²	1	2	yes	complemented
105	C₁₃×#379	C₂²	1	2	yes	complemented
106	C₁₃×#379	C₂²	1	2	yes	complemented
107	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic, complemented
109	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
110	C₂⁵×C₁₃	C₂³	1	2	yes	—
111	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₁₃	—	2	8	no	—
113	C₂²×D₄×C₁₃	—	4	4	no	—
114	C₂²×D₄×C₁₃	—	4	4	no	—
115	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
121	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
123	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
127	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
131	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
133	C₂³×C₄×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	C₁₃×#127	—	4	2	no	—
139	C₁₃×#126	—	2	8	no	—
140	C₁₃×#124	—	2	8	no	—
141	C₁₃×#124	—	4	2	no	—
142	C₁₃×#123	—	2	8	no	—
143	C₁₃×#123	—	2	8	no	—
144	C₁₃×#123	—	2	8	no	—
145	C₁₃×C₂²⋊Q₈	—	2	4	no	—
146	C₁₃×#121	—	2	8	no	—
147	C₁₃×#121	—	2	4	no	—
148	C₁₃×#121	—	2	4	no	—
149	C₁₃×#121	—	2	4	no	—
150	C₁₃×#121	—	2	8	no	—
151	C₁₃×#121	—	4	4	no	—
152	C₁₃×#121	—	4	4	no	—
153	C₁₃×#121	—	4	4	no	—
154	C₁₃×#121	—	4	4	no	—
155	C₁₃×#121	—	4	4	no	—
156	C₁₃×#120	—	2	8	no	—
157	C₁₃×#120	—	2	8	no	—
158	C₁₃×#120	—	2	8	no	—
159	C₁₃×#120	—	4	4	no	—
160	C₁₃×#120	—	4	4	no	—
161	C₄×D₄×C₁₃	—	2	8	no	—
162	C₂×C₁₃×C₄⋊C₄	—	4	2	no	—
163	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
164	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
167	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₄⋊C₄	C₂³	1	2	yes	—
175	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
177	C₂×C₁₃×C₂²⋊C₄	—	4	2	no	—
178	C₂×C₁₃×C₂²⋊C₄	D₄	1	8	yes	complemented
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	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×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×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃	—	4	2	no	—
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₁₃×#95	C₂³	1	2	yes	—
217	C₁₃×#95	C₂³	1	2	yes	—
218	C₁₃×#95	C₂³	1	2	yes	—
219	C₁₃×#95	C₂³	1	2	yes	—
220	C₁₃×#95	C₂³	1	2	yes	—
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	#36739	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
229	C₂⁴×C₁₃	—	2	2	no	—
230	C₂⁴×C₁₃	—	2	2	no	—
231	C₂⁴×C₁₃	—	2	4	no	—
232	C₂⁴×C₁₃	—	4	1	no	—
233	C₂⁴×C₁₃	—	4	1	no	—
234	C₂⁴×C₁₃	—	4	2	no	—
235	C₂⁴×C₁₃	—	4	2	no	—
236	C₂⁴×C₁₃	—	4	1	no	—
237	C₂⁴×C₁₃	—	4	1	no	—
238	C₂⁴×C₁₃	—	4	2	no	—
239	C₂⁴×C₁₃	—	4	2	no	—
240	C₂⁴×C₁₃	—	4	2	no	—
241	C₂⁴×C₁₃	—	4	2	no	—
242	C₂⁴×C₁₃	C₂×D₄	1	4	yes	—
243	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
244	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
245	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
246	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
247	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
248	C₂×Q₈×C₁₃	—	2	2	no	—
249	C₂×Q₈×C₁₃	—	4	1	no	—
250	C₂×Q₈×C₁₃	—	4	1	no	—
251	C₂×D₄×C₁₃	—	2	4	no	—
252	C₂×D₄×C₁₃	—	2	4	no	—
253	C₂×D₄×C₁₃	—	2	4	no	—
254	C₂×D₄×C₁₃	—	2	4	no	—
255	C₂×D₄×C₁₃	—	2	4	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	4	no	—
262	C₂×D₄×C₁₃	—	2	4	no	—
263	C₂×D₄×C₁₃	—	2	4	no	—
264	C₂×D₄×C₁₃	—	2	4	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	4	no	—
269	C₂×D₄×C₁₃	—	2	4	no	—
270	C₂×D₄×C₁₃	—	4	2	no	—
271	C₂×D₄×C₁₃	—	4	2	no	—
272	C₂×D₄×C₁₃	—	4	2	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	—	4	2	no	—
278	C₂×D₄×C₁₃	—	4	2	no	—
279	C₂×D₄×C₁₃	—	4	2	no	—
280	C₂×D₄×C₁₃	—	4	2	no	—
281	C₂×D₄×C₁₃	—	4	2	no	—
282	C₂×D₄×C₁₃	—	4	2	no	—
283	C₂×D₄×C₁₃	—	4	2	no	—
284	C₂×D₄×C₁₃	—	4	1	no	—
285	C₂×D₄×C₁₃	—	4	1	no	—
286	C₂×D₄×C₁₃	—	4	2	no	—
287	C₂×D₄×C₁₃	—	4	1	no	—
288	C₂×D₄×C₁₃	—	4	2	no	—
289	C₂×D₄×C₁₃	—	4	1	no	—
290	C₂×D₄×C₁₃	—	4	2	no	—
291	C₂×D₄×C₁₃	—	4	1	no	—
292	C₂×D₄×C₁₃	—	4	1	no	—
293	C₂×D₄×C₁₃	—	4	2	no	—
294	C₂×D₄×C₁₃	—	4	2	no	—
295	C₂×D₄×C₁₃	—	4	2	no	—
296	C₂×D₄×C₁₃	—	4	32	no	—
297	C₂²×C₄×C₁₃	—	2	4	no	—
298	C₂²×C₄×C₁₃	—	2	2	no	—
299	C₂²×C₄×C₁₃	—	2	2	no	—
300	C₂²×C₄×C₁₃	—	2	2	no	—
301	C₂²×C₄×C₁₃	—	2	2	no	—
302	C₂²×C₄×C₁₃	—	2	2	no	—
303	C₂²×C₄×C₁₃	—	2	2	no	—
304	C₂²×C₄×C₁₃	—	2	4	no	—
305	C₂²×C₄×C₁₃	—	4	1	no	—
306	C₂²×C₄×C₁₃	—	4	1	no	—
307	C₂²×C₄×C₁₃	—	4	1	no	—
308	C₂²×C₄×C₁₃	—	4	1	no	—
309	C₂²×C₄×C₁₃	—	4	1	no	—
310	C₂²×C₄×C₁₃	—	4	1	no	—
311	C₂²×C₄×C₁₃	—	4	2	no	—
312	C₂²×C₄×C₁₃	—	4	2	no	—
313	C₂²×C₄×C₁₃	—	4	1	no	—
314	C₂²×C₄×C₁₃	—	4	1	no	—
315	C₂²×C₄×C₁₃	—	4	1	no	—
316	C₂²×C₄×C₁₃	—	4	2	no	—
317	C₂²×C₄×C₁₃	—	4	2	no	—
318	C₂²×C₄×C₁₃	—	4	1	no	—
319	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
320	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
321	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
323	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
330	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
333	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₁₃×C₄⋊C₄	—	2	4	no	—
336	C₁₃×C₄⋊C₄	—	2	4	no	—
337	C₁₃×C₄⋊C₄	—	2	4	no	—
338	C₁₃×C₄⋊C₄	—	2	2	no	—
339	C₁₃×C₄⋊C₄	—	2	2	no	—
340	C₁₃×C₄⋊C₄	—	2	2	no	—
341	C₁₃×C₄⋊C₄	—	2	2	no	—
342	C₁₃×C₄⋊C₄	—	2	4	no	—
343	C₁₃×C₄⋊C₄	—	4	2	no	—
344	C₁₃×C₄⋊C₄	—	4	2	no	—
345	C₁₃×C₄⋊C₄	—	4	2	no	—
346	C₁₃×C₄⋊C₄	—	4	2	no	—
347	C₁₃×C₄⋊C₄	—	4	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	—	2	4	no	—
353	C₁₃×C₂²⋊C₄	—	2	4	no	—
354	C₁₃×C₂²⋊C₄	—	2	4	no	—
355	C₁₃×C₂²⋊C₄	—	2	4	no	—
356	C₁₃×C₂²⋊C₄	—	2	4	no	—
357	C₁₃×C₂²⋊C₄	—	2	4	no	—
358	C₁₃×C₂²⋊C₄	—	2	4	no	—
359	C₁₃×C₂²⋊C₄	—	2	4	no	—
360	C₁₃×C₂²⋊C₄	—	2	4	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	C₁₃×C₂²⋊C₄	—	4	2	no	—
369	C₁₃×C₂²⋊C₄	—	4	2	no	—
370	C₁₃×C₂²⋊C₄	—	4	2	no	—
371	C₁₃×C₂²⋊C₄	—	4	2	no	—
372	C₁₃×C₂²⋊C₄	—	4	2	no	—
373	C₁₃×C₂²⋊C₄	—	4	2	no	—
374	C₁₃×C₂²⋊C₄	—	4	2	no	—
375	C₁₃×C₂²⋊C₄	—	4	2	no	—
376	C₁₃×C₂²⋊C₄	—	4	2	no	—
377	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
378	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
379	C₄²×C₁₃	—	2	4	no	—
380	C₄²×C₁₃	—	2	2	no	—
381	C₄²×C₁₃	—	2	2	no	—
382	C₄²×C₁₃	—	4	1	no	—
383	C₄²×C₁₃	—	4	1	no	—
384	C₂×#538	C₂×C₁₃	1	1	yes	characteristic, complemented
385	C₂×#534	C₂×C₁₃	1	1	yes	characteristic, complemented
386	#2856	C₂×C₁₃	1	1	yes	characteristic, complemented
387	#2850	C₂×C₁₃	1	1	yes	characteristic, complemented
388	#2718	C₂×C₁₃	1	2	yes	complemented
389	#2710	C₂×C₁₃	1	2	yes	complemented
390	#2706	C₂×C₁₃	1	2	yes	complemented
391	#2703	C₂×C₁₃	1	2	yes	complemented
392	#2685	C₂×C₁₃	1	2	yes	complemented
393	#2678	C₂×C₁₃	1	2	yes	complemented
394	#2670	C₂×C₁₃	1	2	yes	complemented
395	#2669	C₂×C₁₃	1	2	yes	complemented
396	#2656	C₂×C₁₃	1	1	yes	characteristic, complemented
397	#2639	C₂×C₁₃	1	1	yes	characteristic, complemented
398	#2543	C₂×C₁₃	1	2	yes	complemented
399	#2416	C₂×C₁₃	1	2	yes	complemented
400	#2410	C₂×C₁₃	1	2	yes	complemented
401	#2410	C₂×C₁₃	1	2	yes	complemented
402	C₂×#388	C₂×C₁₃	1	1	yes	characteristic, complemented
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	2	no	—
408	C₂³×C₁₃	—	2	2	no	—
409	C₂³×C₁₃	—	2	2	no	—
410	C₂³×C₁₃	—	2	2	no	—
411	C₂³×C₁₃	—	2	2	no	—
412	C₂³×C₁₃	—	2	2	no	—
413	C₂³×C₁₃	—	2	8	no	—
414	C₂³×C₁₃	—	2	2	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	—	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	—	2	2	no	—
431	C₂³×C₁₃	—	2	2	no	—
432	C₂³×C₁₃	—	2	2	no	—
433	C₂³×C₁₃	—	2	2	no	—
434	C₂³×C₁₃	—	2	2	no	—
435	C₂³×C₁₃	—	4	4	no	—
436	C₂³×C₁₃	—	4	4	no	—
437	C₂³×C₁₃	—	4	8	no	—
438	C₂³×C₁₃	—	8	2	no	—
439	C₂³×C₁₃	—	8	2	no	—
440	C₂³×C₁₃	—	8	2	no	—
441	C₂³×C₁₃	—	8	2	no	—
442	C₂³×C₁₃	—	8	4	no	—
443	C₂³×C₁₃	—	8	4	no	—
444	C₂³×C₁₃	—	8	4	no	—
445	C₂³×C₁₃	—	8	4	no	—
446	C₂³×C₁₃	—	8	4	no	—
447	C₂³×C₁₃	—	8	4	no	—
448	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
449	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
450	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
451	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
452	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
453	Q₈×C₁₃	—	8	2	no	—
454	D₄×C₁₃	—	4	8	no	—
455	D₄×C₁₃	—	4	8	no	—
456	D₄×C₁₃	—	4	8	no	—
457	D₄×C₁₃	—	4	8	no	—
458	D₄×C₁₃	—	4	8	no	—
459	D₄×C₁₃	—	8	4	no	—
460	D₄×C₁₃	—	8	2	no	—
461	D₄×C₁₃	—	8	2	no	—
462	D₄×C₁₃	—	8	2	no	—
463	D₄×C₁₃	—	8	4	no	—
464	D₄×C₁₃	—	8	4	no	—
465	D₄×C₁₃	—	8	4	no	—
466	D₄×C₁₃	—	8	4	no	—
467	D₄×C₁₃	—	8	4	no	—
468	D₄×C₁₃	—	8	4	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	2	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	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	2	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	2	no	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	2	no	—
490	C₂×C₄×C₁₃	—	2	1	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	1	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	2	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	4	4	no	—
507	C₂×C₄×C₁₃	—	4	4	no	—
508	C₂×C₄×C₁₃	—	4	4	no	—
509	C₂×C₄×C₁₃	—	4	4	no	—
510	C₂×C₄×C₁₃	—	4	8	no	—
511	C₂×C₄×C₁₃	—	8	4	no	—
512	C₂×C₄×C₁₃	—	8	2	no	—
513	C₂×C₄×C₁₃	—	8	2	no	—
514	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
515	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
518	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
519	C₂³×D₄	C₂²×C₁₃	1	2	yes	—
520	#538	—	2	8	no	—
521	#534	—	2	8	no	—
522	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
523	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
524	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
525	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
526	C₂×#123	C₂²×C₁₃	1	2	yes	—
527	C₂×#123	C₂²×C₁₃	1	2	yes	—
528	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
529	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
531	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
532	C₂×#121	C₂²×C₁₃	1	2	yes	—
533	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
534	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
535	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
536	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
537	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
538	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
539	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
540	C₂×#120	C₂²×C₁₃	1	2	yes	—
541	C₂×#120	C₂²×C₁₃	1	2	yes	—
542	C₂×#120	C₂²×C₁₃	1	2	yes	—
543	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
544	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
545	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
546	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
547	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
548	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
549	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
550	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
551	#400	C₂²×C₁₃	1	2	yes	complemented
552	#399	C₂²×C₁₃	1	2	yes	complemented
553	#399	C₂²×C₁₃	1	2	yes	complemented
554	#398	C₂²×C₁₃	1	2	yes	complemented
555	#397	C₂²×C₁₃	1	2	yes	complemented
556	#397	C₂²×C₁₃	1	2	yes	complemented
557	#396	C₂²×C₁₃	1	2	yes	complemented
558	#396	C₂²×C₁₃	1	2	yes	complemented
559	#394	C₂²×C₁₃	1	2	yes	—
560	#394	C₂²×C₁₃	1	2	yes	—
561	#394	C₂²×C₁₃	1	2	yes	—
562	#394	C₂²×C₁₃	1	2	yes	—
563	#394	C₂²×C₁₃	1	2	yes	complemented
564	#394	C₂²×C₁₃	1	2	yes	complemented
565	#394	C₂²×C₁₃	1	2	yes	complemented
566	#394	C₂²×C₁₃	1	2	yes	complemented
567	#393	C₂²×C₁₃	1	2	yes	complemented
568	#392	C₂²×C₁₃	1	2	yes	—
569	#392	C₂²×C₁₃	1	2	yes	—
570	#392	C₂²×C₁₃	1	2	yes	—
571	#392	C₂²×C₁₃	1	2	yes	—
572	#392	C₂²×C₁₃	1	2	yes	complemented
573	#392	C₂²×C₁₃	1	2	yes	complemented
574	#392	C₂²×C₁₃	1	2	yes	complemented
575	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#390	C₂²×C₁₃	1	2	yes	complemented
578	#390	C₂²×C₁₃	1	2	yes	complemented
579	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
580	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
581	#390	C₂²×C₁₃	1	2	yes	complemented
582	#389	C₂²×C₁₃	1	2	yes	complemented
583	#388	C₂²×C₁₃	1	2	yes	complemented
584	#388	C₂²×C₁₃	1	2	yes	complemented
585	#388	C₂²×C₁₃	1	2	yes	complemented
586	#388	C₂²×C₁₃	1	2	yes	complemented
587	#388	C₂²×C₁₃	1	2	yes	complemented
588	#388	C₂²×C₁₃	1	2	yes	complemented
589	#388	C₂²×C₁₃	1	2	yes	complemented
590	#388	C₂²×C₁₃	1	2	yes	complemented
591	#386	C₂²×C₁₃	1	2	yes	complemented
592	#386	C₂²×C₁₃	1	2	yes	complemented
593	#386	C₂²×C₁₃	1	2	yes	complemented
594	#386	C₂²×C₁₃	1	2	yes	complemented
595	#386	C₂²×C₁₃	1	2	yes	complemented
596	#386	C₂²×C₁₃	1	2	yes	complemented
597	#386	C₂²×C₁₃	1	2	yes	complemented
598	#386	C₂²×C₁₃	1	2	yes	complemented
599	#385	C₂²×C₁₃	1	2	yes	complemented
600	#385	C₂²×C₁₃	1	2	yes	complemented
601	#384	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#380	C₂²×C₁₃	1	2	yes	complemented
604	#379	C₂²×C₁₃	1	2	yes	complemented
605	#379	C₂²×C₁₃	1	2	yes	complemented
606	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	4	no	—
615	C₂²×C₁₃	—	2	4	no	—
616	C₂²×C₁₃	—	2	4	no	—
617	C₂²×C₁₃	—	4	2	no	—
618	C₂²×C₁₃	—	4	2	no	—
619	C₂²×C₁₃	—	4	2	no	—
620	C₂²×C₁₃	—	4	2	no	—
621	C₂²×C₁₃	—	4	2	no	—
622	C₂²×C₁₃	—	4	2	no	—
623	C₂²×C₁₃	—	4	2	no	—
624	C₂²×C₁₃	—	4	2	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	—	4	2	no	—
640	C₂²×C₁₃	—	4	2	no	—
641	C₂²×C₁₃	—	4	2	no	—
642	C₂²×C₁₃	—	8	8	no	—
643	C₂²×C₁₃	—	8	16	no	—
644	C₂²×C₁₃	#535	1	4	yes	—
645	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
646	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
647	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
648	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
649	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
650	C₂²×C₁₃	#585	1	1	yes	characteristic
651	C₂²×C₁₃	#585	1	1	yes	characteristic
652	C₄×C₁₃	—	2	4	no	—
653	C₄×C₁₃	—	2	2	no	—
654	C₄×C₁₃	—	2	2	no	—
655	C₄×C₁₃	—	2	2	no	—
656	C₄×C₁₃	—	2	2	no	—
657	C₄×C₁₃	—	4	2	no	—
658	C₄×C₁₃	—	4	2	no	—
659	C₄×C₁₃	—	4	2	no	—
660	C₄×C₁₃	—	4	2	no	—
661	C₄×C₁₃	—	4	2	no	—
662	C₄×C₁₃	—	4	1	no	—
663	C₄×C₁₃	—	4	1	no	—
664	C₄×C₁₃	—	4	2	no	—
665	C₄×C₁₃	—	4	2	no	—
666	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
667	C₂⁵	C₂³×C₁₃	1	2	yes	—
668	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
669	C₂²×D₄	—	2	8	no	—
670	C₂²×D₄	—	4	4	no	—
671	C₂²×D₄	—	4	4	no	—
672	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
673	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
674	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
675	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
676	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
677	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
678	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
679	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
680	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
681	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
682	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
683	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
684	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
685	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
686	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
687	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
688	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
689	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
690	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
691	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
692	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
693	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
694	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
695	#127	—	4	2	no	—
696	#126	—	2	8	no	—
697	#124	—	2	8	no	—
698	#124	—	4	2	no	—
699	#123	—	2	8	no	—
700	#123	—	2	8	no	—
701	#123	—	2	8	no	—
702	C₂²⋊Q₈	—	2	4	no	—
703	#121	—	2	8	no	—
704	#121	—	2	4	no	—
705	#121	—	2	4	no	—
706	#121	—	2	4	no	—
707	#121	—	2	8	no	—
708	#121	—	4	4	no	—
709	#121	—	4	4	no	—
710	#121	—	4	4	no	—
711	#121	—	4	4	no	—
712	#121	—	4	4	no	—
713	#120	—	2	8	no	—
714	#120	—	2	8	no	—
715	#120	—	2	8	no	—
716	#120	—	4	4	no	—
717	#120	—	4	4	no	—
718	C₄×D₄	—	2	8	no	—
719	C₂×C₄⋊C₄	—	4	2	no	—
720	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
721	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
722	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
723	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
724	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
725	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
726	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
727	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
728	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
729	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
730	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
731	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
732	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
733	C₂×C₂²⋊C₄	—	4	2	no	—
734	C₂×C₂²⋊C₄	—	4	2	no	—
735	C₂×C₂²⋊C₄	D₄×C₁₃	1	8	yes	complemented
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×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
753	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
754	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
755	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
756	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
757	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
758	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
759	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
760	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
761	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
762	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
763	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
767	C₂×C₄²	—	4	2	no	—
768	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
769	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
770	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
771	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
772	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
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	#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	C₂×C₁₃	—	2	4	no	—
786	C₂×C₁₃	—	4	4	no	—
787	C₂×C₁₃	—	8	2	no	—
788	C₂×C₁₃	—	8	2	no	—
789	C₂×C₁₃	—	8	2	no	—
790	C₂×C₁₃	C₂×#535	1	1	yes	characteristic
791	C₂×C₁₃	#3496	1	1	yes	characteristic
792	C₂×C₁₃	#3496	1	1	yes	characteristic
793	C₂×C₁₃	#3534	1	1	yes	characteristic
794	C₂×C₁₃	#3537	1	1	yes	characteristic
795	C₂×C₁₃	#3558	1	1	yes	characteristic
796	C₂×C₁₃	#3560	1	1	yes	characteristic
797	C₂⁴	—	2	2	no	—
798	C₂⁴	—	2	2	no	—
799	C₂⁴	—	2	4	no	—
800	C₂⁴	—	4	1	no	—
801	C₂⁴	—	4	1	no	—
802	C₂⁴	—	4	2	no	—
803	C₂⁴	—	4	2	no	—
804	C₂⁴	—	4	1	no	—
805	C₂⁴	—	4	1	no	—
806	C₂⁴	—	4	2	no	—
807	C₂⁴	—	4	2	no	—
808	C₂⁴	—	4	2	no	—
809	C₂⁴	—	4	2	no	—
810	C₂⁴	C₂×D₄×C₁₃	1	4	yes	—
811	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
812	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
813	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
814	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
815	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
816	C₂×Q₈	—	2	2	no	—
817	C₂×Q₈	—	4	1	no	—
818	C₂×Q₈	—	4	1	no	—
819	C₂×D₄	—	2	4	no	—
820	C₂×D₄	—	2	4	no	—
821	C₂×D₄	—	2	4	no	—
822	C₂×D₄	—	2	4	no	—
823	C₂×D₄	—	2	4	no	—
824	C₂×D₄	—	2	4	no	—
825	C₂×D₄	—	2	4	no	—
826	C₂×D₄	—	2	4	no	—
827	C₂×D₄	—	2	4	no	—
828	C₂×D₄	—	2	4	no	—
829	C₂×D₄	—	2	4	no	—
830	C₂×D₄	—	2	4	no	—
831	C₂×D₄	—	2	4	no	—
832	C₂×D₄	—	2	4	no	—
833	C₂×D₄	—	2	2	no	—
834	C₂×D₄	—	2	2	no	—
835	C₂×D₄	—	2	2	no	—
836	C₂×D₄	—	2	4	no	—
837	C₂×D₄	—	2	4	no	—
838	C₂×D₄	—	4	2	no	—
839	C₂×D₄	—	4	2	no	—
840	C₂×D₄	—	4	2	no	—
841	C₂×D₄	—	4	2	no	—
842	C₂×D₄	—	4	2	no	—
843	C₂×D₄	—	4	2	no	—
844	C₂×D₄	—	4	2	no	—
845	C₂×D₄	—	4	2	no	—
846	C₂×D₄	—	4	2	no	—
847	C₂×D₄	—	4	2	no	—
848	C₂×D₄	—	4	2	no	—
849	C₂×D₄	—	4	2	no	—
850	C₂×D₄	—	4	2	no	—
851	C₂×D₄	—	4	2	no	—
852	C₂×D₄	—	4	1	no	—
853	C₂×D₄	—	4	1	no	—
854	C₂×D₄	—	4	2	no	—
855	C₂×D₄	—	4	1	no	—
856	C₂×D₄	—	4	2	no	—
857	C₂×D₄	—	4	1	no	—
858	C₂×D₄	—	4	2	no	—
859	C₂×D₄	—	4	1	no	—
860	C₂×D₄	—	4	1	no	—
861	C₂×D₄	—	4	2	no	—
862	C₂×D₄	—	4	2	no	—
863	C₂×D₄	—	4	2	no	—
864	C₂×D₄	—	4	32	no	—
865	C₂²×C₄	—	2	4	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	2	no	—
868	C₂²×C₄	—	2	2	no	—
869	C₂²×C₄	—	2	2	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	4	no	—
873	C₂²×C₄	—	4	1	no	—
874	C₂²×C₄	—	4	1	no	—
875	C₂²×C₄	—	4	1	no	—
876	C₂²×C₄	—	4	2	no	—
877	C₂²×C₄	—	4	2	no	—
878	C₂²×C₄	—	4	1	no	—
879	C₂²×C₄	—	4	1	no	—
880	C₂²×C₄	—	4	1	no	—
881	C₂²×C₄	—	4	1	no	—
882	C₂²×C₄	—	4	1	no	—
883	C₂²×C₄	—	4	1	no	—
884	C₂²×C₄	—	4	2	no	—
885	C₂²×C₄	—	4	2	no	—
886	C₂²×C₄	—	4	1	no	—
887	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
888	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
889	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
890	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
892	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
893	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
894	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
895	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
896	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
897	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
898	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
901	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₄⋊C₄	—	2	4	no	—
904	C₄⋊C₄	—	2	4	no	—
905	C₄⋊C₄	—	2	4	no	—
906	C₄⋊C₄	—	2	2	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	2	no	—
910	C₄⋊C₄	—	2	4	no	—
911	C₄⋊C₄	—	4	2	no	—
912	C₄⋊C₄	—	4	2	no	—
913	C₄⋊C₄	—	4	2	no	—
914	C₄⋊C₄	—	4	2	no	—
915	C₄⋊C₄	—	4	2	no	—
916	C₂²⋊C₄	—	2	4	no	—
917	C₂²⋊C₄	—	2	4	no	—
918	C₂²⋊C₄	—	2	4	no	—
919	C₂²⋊C₄	—	2	4	no	—
920	C₂²⋊C₄	—	2	4	no	—
921	C₂²⋊C₄	—	2	4	no	—
922	C₂²⋊C₄	—	2	4	no	—
923	C₂²⋊C₄	—	2	4	no	—
924	C₂²⋊C₄	—	2	4	no	—
925	C₂²⋊C₄	—	2	4	no	—
926	C₂²⋊C₄	—	2	4	no	—
927	C₂²⋊C₄	—	2	4	no	—
928	C₂²⋊C₄	—	2	4	no	—
929	C₂²⋊C₄	—	4	2	no	—
930	C₂²⋊C₄	—	4	2	no	—
931	C₂²⋊C₄	—	4	2	no	—
932	C₂²⋊C₄	—	4	2	no	—
933	C₂²⋊C₄	—	4	2	no	—
934	C₂²⋊C₄	—	4	2	no	—
935	C₂²⋊C₄	—	4	2	no	—
936	C₂²⋊C₄	—	4	2	no	—
937	C₂²⋊C₄	—	4	2	no	—
938	C₂²⋊C₄	—	4	2	no	—
939	C₂²⋊C₄	—	4	2	no	—
940	C₂²⋊C₄	—	4	2	no	—
941	C₂²⋊C₄	—	4	2	no	—
942	C₂²⋊C₄	—	4	2	no	—
943	C₂²⋊C₄	—	4	2	no	—
944	C₂²⋊C₄	—	4	2	no	—
945	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
946	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
947	C₄²	—	2	4	no	—
948	C₄²	—	2	2	no	—
949	C₄²	—	2	2	no	—
950	C₄²	—	4	1	no	—
951	C₄²	—	4	1	no	—
952	C₁₃	#36739	1	1	yes	characteristic, direct product factor, Sylow
953	C₂³	—	2	1	no	—
954	C₂³	—	2	1	no	—
955	C₂³	—	2	1	no	—
956	C₂³	—	2	1	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	—	2	2	no	—
963	C₂³	—	2	8	no	—
964	C₂³	—	2	2	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	2	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	2	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	2	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	2	no	—
974	C₂³	—	2	2	no	—
975	C₂³	—	2	2	no	—
976	C₂³	—	2	2	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	2	2	no	—
979	C₂³	—	2	2	no	—
980	C₂³	—	2	2	no	—
981	C₂³	—	2	2	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	2	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	4	4	no	—
986	C₂³	—	4	4	no	—
987	C₂³	—	4	8	no	—
988	C₂³	—	8	2	no	—
989	C₂³	—	8	2	no	—
990	C₂³	—	8	2	no	—
991	C₂³	—	8	2	no	—
992	C₂³	—	8	4	no	—
993	C₂³	—	8	4	no	—
994	C₂³	—	8	4	no	—
995	C₂³	—	8	4	no	—
996	C₂³	—	8	4	no	—
997	C₂³	—	8	4	no	—
998	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
999	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1000	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1001	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1002	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1003	Q₈	—	8	2	no	—
1004	D₄	—	4	8	no	—
1005	D₄	—	4	8	no	—
1006	D₄	—	4	8	no	—
1007	D₄	—	4	8	no	—
1008	D₄	—	4	8	no	—
1009	D₄	—	8	4	no	—
1010	D₄	—	8	4	no	—
1011	D₄	—	8	4	no	—
1012	D₄	—	8	2	no	—
1013	D₄	—	8	2	no	—
1014	D₄	—	8	2	no	—
1015	D₄	—	8	4	no	—
1016	D₄	—	8	4	no	—
1017	D₄	—	8	4	no	—
1018	D₄	—	8	4	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	2	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	1	no	—
1041	C₂×C₄	—	2	1	no	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	4	4	no	—
1058	C₂×C₄	—	4	4	no	—
1059	C₂×C₄	—	4	4	no	—
1060	C₂×C₄	—	4	8	no	—
1061	C₂×C₄	—	8	4	no	—
1062	C₂×C₄	—	8	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1065	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1066	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1067	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1068	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1069	C₂²	—	2	2	no	—
1070	C₂²	—	2	2	no	—
1071	C₂²	—	2	2	no	—
1072	C₂²	—	2	2	no	—
1073	C₂²	—	2	2	no	—
1074	C₂²	—	2	2	no	—
1075	C₂²	—	2	4	no	—
1076	C₂²	—	2	4	no	—
1077	C₂²	—	2	4	no	—
1078	C₂²	—	4	2	no	—
1079	C₂²	—	4	2	no	—
1080	C₂²	—	4	2	no	—
1081	C₂²	—	4	2	no	—
1082	C₂²	—	4	2	no	—
1083	C₂²	—	4	2	no	—
1084	C₂²	—	4	2	no	—
1085	C₂²	—	4	2	no	—
1086	C₂²	—	4	2	no	—
1087	C₂²	—	4	2	no	—
1088	C₂²	—	4	2	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	2	no	—
1091	C₂²	—	4	2	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	2	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	4	2	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	4	2	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	2	no	—
1103	C₂²	—	8	8	no	—
1104	C₂²	—	8	16	no	—
1105	C₂²	C₁₃×#535	1	4	yes	—
1106	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1107	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1108	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1109	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1110	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1111	C₂²	C₁₃×#585	1	1	yes	characteristic
1112	C₂²	C₁₃×#585	1	1	yes	characteristic
1113	C₄	—	2	2	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	4	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	2	no	—
1122	C₄	—	4	2	no	—
1123	C₄	—	4	2	no	—
1124	C₄	—	4	2	no	—
1125	C₄	—	4	2	no	—
1126	C₄	—	4	2	no	—
1127	C₂	—	2	4	no	—
1128	C₂	—	4	4	no	—
1129	C₂	—	8	2	no	—
1130	C₂	—	8	2	no	—
1131	C₂	—	8	2	no	—
1132	C₂	C₂×C₁₃×#535	1	1	yes	characteristic
1133	C₂	C₁₃×#3496	1	1	yes	characteristic
1134	C₂	C₁₃×#3496	1	1	yes	characteristic
1135	C₂	C₁₃×#3534	1	1	yes	characteristic
1136	C₂	C₁₃×#3537	1	1	yes	characteristic
1137	C₂	C₁₃×#3558	1	1	yes	characteristic
1138	C₂	C₁₃×#3560	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
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. C₂×C₁₃×#538	C₂	semidirect
2. C₂×C₁₃×#534	C₂	semidirect
3. C₁₃×#2856	C₂	semidirect
4. C₁₃×#2850	C₂	semidirect
5. C₁₃×#2718	C₂	semidirect
6. C₁₃×#2710	C₂	semidirect
7. C₁₃×#2706	C₂	semidirect
8. C₁₃×#2703	C₂	semidirect
9. C₁₃×#2685	C₂	semidirect
10. C₁₃×#2678	C₂	semidirect
11. C₁₃×#2670	C₂	semidirect
12. C₁₃×#2669	C₂	semidirect
13. C₁₃×#2656	C₂	semidirect
14. C₁₃×#2639	C₂	semidirect
15. C₁₃×#2543	C₂	semidirect
16. C₁₃×#2416	C₂	semidirect
17. C₁₃×#2410	C₂	semidirect
18. C₁₃×#2410	C₂	semidirect
19. C₂×C₁₃×#388	C₂	semidirect
23. C₂×C₁₃×#127	C₂²	semidirect
24. C₂×C₁₃×#126	C₂²	semidirect
25. C₂×C₁₃×#124	C₂²	semidirect
26. C₂×C₁₃×#124	C₂²	semidirect
29. C₂×C₁₃×#123	C₂²	semidirect
30. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
34. C₂×C₁₃×#121	C₂²	semidirect
35. C₂×C₁₃×#121	C₂²	semidirect
36. C₂×C₁₃×#121	C₂²	semidirect
37. C₂×C₁₃×#121	C₂²	semidirect
38. C₂×C₁₃×#121	C₂²	semidirect
39. C₂×C₁₃×#121	C₂²	semidirect
40. C₂×C₁₃×#121	C₂²	semidirect
44. C₂×C₁₃×#120	C₂²	semidirect
45. C₂×C₁₃×#120	C₂²	semidirect
46. C₂×C₄×D₄×C₁₃	C₂²	semidirect
47. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
51. C₂²×C₄²×C₁₃	C₂²	semidirect
52. C₁₃×#400	C₂²	semidirect
53. C₁₃×#399	C₂²	semidirect
54. C₁₃×#399	C₂²	semidirect
55. C₁₃×#398	C₂²	semidirect
56. C₁₃×#397	C₂²	semidirect
57. C₁₃×#397	C₂²	semidirect
58. C₁₃×#396	C₂²	semidirect
59. C₁₃×#396	C₂²	semidirect
64. C₁₃×#394	C₂²	semidirect
65. C₁₃×#394	C₂²	semidirect
66. C₁₃×#394	C₂²	semidirect
67. C₁₃×#394	C₂²	semidirect
68. C₁₃×#393	C₂²	semidirect
73. C₁₃×#392	C₂²	semidirect
74. C₁₃×#392	C₂²	semidirect
75. C₁₃×#392	C₂²	semidirect
76. C₁₃×#391	C₂²	semidirect
77. C₁₃×#390	C₂²	semidirect
78. C₁₃×#390	C₂²	semidirect
79. C₁₃×#390	C₂²	semidirect
80. C₁₃×#390	C₂²	semidirect
81. C₁₃×#390	C₂²	semidirect
82. C₁₃×#390	C₂²	semidirect
83. C₁₃×#389	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×#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×#386	C₂²	semidirect
100. C₁₃×#385	C₂²	semidirect
101. C₁₃×#385	C₂²	semidirect
102. C₁₃×#384	C₂²	semidirect
103. C₁₃×#382	C₂²	semidirect
104. C₁₃×#380	C₂²	semidirect
105. C₁₃×#379	C₂²	semidirect
106. C₁₃×#379	C₂²	semidirect
107. C₂×C₁₃×#95	C₂²	semidirect
108. C₂×C₁₃×#95	C₂²	semidirect
178. C₂×C₁₃×C₂²⋊C₄	D₄	semidirect
228. #36739	C₁₃	direct (N × H)
384. C₂×#538	C₂×C₁₃	semidirect
385. C₂×#534	C₂×C₁₃	semidirect
386. #2856	C₂×C₁₃	semidirect
387. #2850	C₂×C₁₃	semidirect
388. #2718	C₂×C₁₃	semidirect
389. #2710	C₂×C₁₃	semidirect
390. #2706	C₂×C₁₃	semidirect
391. #2703	C₂×C₁₃	semidirect
392. #2685	C₂×C₁₃	semidirect
393. #2678	C₂×C₁₃	semidirect
394. #2670	C₂×C₁₃	semidirect
395. #2669	C₂×C₁₃	semidirect
396. #2656	C₂×C₁₃	semidirect
397. #2639	C₂×C₁₃	semidirect
398. #2543	C₂×C₁₃	semidirect
399. #2416	C₂×C₁₃	semidirect
400. #2410	C₂×C₁₃	semidirect
401. #2410	C₂×C₁₃	semidirect
402. C₂×#388	C₂×C₁₃	semidirect
522. C₂×#127	C₂²×C₁₃	semidirect
523. C₂×#126	C₂²×C₁₃	semidirect
524. C₂×#124	C₂²×C₁₃	semidirect
525. C₂×#124	C₂²×C₁₃	semidirect
528. C₂×#123	C₂²×C₁₃	semidirect
529. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
533. C₂×#121	C₂²×C₁₃	semidirect
534. C₂×#121	C₂²×C₁₃	semidirect
535. C₂×#121	C₂²×C₁₃	semidirect
536. C₂×#121	C₂²×C₁₃	semidirect
537. C₂×#121	C₂²×C₁₃	semidirect
538. C₂×#121	C₂²×C₁₃	semidirect
539. C₂×#121	C₂²×C₁₃	semidirect
543. C₂×#120	C₂²×C₁₃	semidirect
544. C₂×#120	C₂²×C₁₃	semidirect
545. C₂×C₄×D₄	C₂²×C₁₃	semidirect
546. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
550. C₂²×C₄²	C₂²×C₁₃	semidirect
551. #400	C₂²×C₁₃	semidirect
552. #399	C₂²×C₁₃	semidirect
553. #399	C₂²×C₁₃	semidirect
554. #398	C₂²×C₁₃	semidirect
555. #397	C₂²×C₁₃	semidirect
556. #397	C₂²×C₁₃	semidirect
557. #396	C₂²×C₁₃	semidirect
558. #396	C₂²×C₁₃	semidirect
563. #394	C₂²×C₁₃	semidirect
564. #394	C₂²×C₁₃	semidirect
565. #394	C₂²×C₁₃	semidirect
566. #394	C₂²×C₁₃	semidirect
567. #393	C₂²×C₁₃	semidirect
572. #392	C₂²×C₁₃	semidirect
573. #392	C₂²×C₁₃	semidirect
574. #392	C₂²×C₁₃	semidirect
575. #391	C₂²×C₁₃	semidirect
576. #390	C₂²×C₁₃	semidirect
577. #390	C₂²×C₁₃	semidirect
578. #390	C₂²×C₁₃	semidirect
579. #390	C₂²×C₁₃	semidirect
580. #390	C₂²×C₁₃	semidirect
581. #390	C₂²×C₁₃	semidirect
582. #389	C₂²×C₁₃	semidirect
583. #388	C₂²×C₁₃	semidirect
584. #388	C₂²×C₁₃	semidirect
585. #388	C₂²×C₁₃	semidirect
586. #388	C₂²×C₁₃	semidirect
587. #388	C₂²×C₁₃	semidirect
588. #388	C₂²×C₁₃	semidirect
589. #388	C₂²×C₁₃	semidirect
590. #388	C₂²×C₁₃	semidirect
591. #386	C₂²×C₁₃	semidirect
592. #386	C₂²×C₁₃	semidirect
593. #386	C₂²×C₁₃	semidirect
594. #386	C₂²×C₁₃	semidirect
595. #386	C₂²×C₁₃	semidirect
596. #386	C₂²×C₁₃	semidirect
597. #386	C₂²×C₁₃	semidirect
598. #386	C₂²×C₁₃	semidirect
599. #385	C₂²×C₁₃	semidirect
600. #385	C₂²×C₁₃	semidirect
601. #384	C₂²×C₁₃	semidirect
602. #382	C₂²×C₁₃	semidirect
603. #380	C₂²×C₁₃	semidirect
604. #379	C₂²×C₁₃	semidirect
605. #379	C₂²×C₁₃	semidirect
606. C₂×#95	C₂²×C₁₃	semidirect
607. C₂×#95	C₂²×C₁₃	semidirect
735. C₂×C₂²⋊C₄	D₄×C₁₃	semidirect
952. C₁₃	#36739	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#538	2
C₂×C₁₃×#534	2
C₁₃×#2856	2
C₁₃×#2850	2
C₁₃×#2718	2
C₁₃×#2710	2
C₁₃×#2706	2
C₁₃×#2703	2
C₁₃×#2685	2
C₁₃×#2678	2
C₁₃×#2670	2
C₁₃×#2669	2
C₁₃×#2656	2
C₁₃×#2639	2
C₁₃×#2543	2
C₁₃×#2416	2
C₁₃×#2410	2
C₂×C₁₃×#388	2
#36739	13

Subgroups — C13×#36739 #15723078

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36739 #15723078