Subgroups — C₁₃×#61600 #15747939

Order 3328.

2568 conjugacy classes of subgroups.

The subgroup lattice has 970 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3324	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3310	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3294	C₂	1	2	yes	maximal, complemented
6	D₄×C₁₃×SD₁₆	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3272	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3265	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3208	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3193	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3188	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3110	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3003	C₂	1	2	yes	maximal, complemented
16	C₂×C₁₃×#450	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂³×D₄×C₁₃	—	2	1	no	—
19	C₂³×D₄×C₁₃	C₂²	1	2	yes	—
20	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
21	C₂²×C₁₃×SD₁₆	C₂²	1	4	yes	complemented
22	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
23	C₁₃×#554	—	2	1	no	—
24	C₁₃×#552	C₂²	1	2	yes	complemented
25	C₁₃×#551	—	2	2	no	—
26	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#548	C₂²	1	2	yes	complemented
28	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#546	—	2	1	no	—
31	D₄²×C₁₃	—	2	1	no	—
32	D₄²×C₁₃	—	2	2	no	—
33	D₄²×C₁₃	—	2	1	no	—
34	D₄²×C₁₃	C₂²	1	4	yes	—
35	D₄²×C₁₃	C₂²	1	2	yes	—
36	D₄²×C₁₃	C₂²	1	2	yes	—
37	C₁₃×#542	—	2	1	no	—
38	C₁₃×#539	—	2	2	no	—
39	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
41	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#525	C₂²	1	2	yes	complemented
43	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
44	C₂×C₁₃×#121	—	2	1	no	—
45	C₂×C₁₃×#121	C₂²	1	2	yes	—
46	C₂×C₁₃×#120	—	2	2	no	—
47	C₁₃×#520	—	2	1	no	—
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
50	C₁₃×#496	C₂²	1	2	yes	complemented
51	C₁₃×#492	C₂²	1	2	yes	complemented
52	C₁₃×#490	C₂²	1	2	yes	complemented
53	C₁₃×#486	C₂²	1	2	yes	complemented
54	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#484	C₂²	1	2	yes	complemented
56	C₁₃×#482	C₂²	1	4	yes	complemented
57	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#480	C₂²	1	4	yes	complemented
59	C₁₃×#478	C₂²	1	2	yes	complemented
60	C₁₃×#474	C₂²	1	2	yes	complemented
61	C₁₃×#468	C₂²	1	4	yes	complemented
62	C₁₃×#468	C₂²	1	4	yes	complemented
63	C₁₃×#466	C₂²	1	4	yes	complemented
64	C₁₃×#465	C₂²	1	4	yes	complemented
65	C₁₃×#463	C₂²	1	2	yes	complemented
66	C₁₃×#461	C₂²	1	2	yes	complemented
67	C₁₃×#460	C₂²	1	4	yes	complemented
68	C₁₃×#460	C₂²	1	2	yes	complemented
69	C₁₃×#459	C₂²	1	2	yes	complemented
70	C₁₃×#450	C₂²	1	1	yes	characteristic
71	C₁₃×#450	C₂²	1	2	yes	—
72	C₁₃×#450	C₂²	1	2	yes	complemented
73	C₁₃×#450	C₂²	1	2	yes	complemented
74	C₁₃×#450	C₂²	1	2	yes	complemented
75	C₁₃×#450	C₂²	1	4	yes	complemented
76	C₁₃×#450	C₂²	1	4	yes	complemented
77	C₁₃×#450	C₂²	1	4	yes	complemented
78	C₁₃×#449	C₂²	1	4	yes	complemented
79	C₁₃×#448	C₂²	1	4	yes	complemented
80	C₁₃×#447	C₂²	1	1	yes	characteristic
81	C₁₃×#447	C₂²	1	2	yes	complemented
82	C₁₃×#447	C₂²	1	4	yes	complemented
83	C₁₃×#440	C₂²	1	4	yes	complemented
84	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
85	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
86	C₁₃×#436	C₂²	1	2	yes	complemented
87	C₁₃×#435	C₂²	1	4	yes	complemented
88	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
89	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#418	C₂²	1	4	yes	complemented
92	C₂×C₁₃×#102	C₂²	1	4	yes	complemented
93	C₁₃×#407	C₂²	1	2	yes	complemented
94	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
95	C₂⁵×C₁₃	—	2	2	no	—
96	C₂×C₁₃×#41	—	2	1	no	—
97	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
98	C₂²×Q₈×C₁₃	C₂³	1	2	yes	complemented
99	C₂²×D₄×C₁₃	—	2	2	no	—
100	C₂²×D₄×C₁₃	—	2	4	no	—
101	C₂²×D₄×C₁₃	—	2	2	no	—
102	C₂²×D₄×C₁₃	—	2	2	no	—
103	C₂²×D₄×C₁₃	—	2	2	no	—
104	C₂²×D₄×C₁₃	—	2	1	no	—
105	C₂²×D₄×C₁₃	—	2	2	no	—
106	C₂²×D₄×C₁₃	—	2	2	no	—
107	C₂²×D₄×C₁₃	—	2	1	no	—
108	C₂²×D₄×C₁₃	—	4	8	no	—
109	C₂²×D₄×C₁₃	—	4	8	no	—
110	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
111	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
112	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
113	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
114	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
115	C₂³×C₄×C₁₃	—	2	1	no	—
116	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
117	C₁₃×AGL(1,ℤ/8)	—	4	8	no	—
118	C₂×C₁₃×SD₁₆	—	4	8	no	—
119	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
120	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
121	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
122	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
123	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
124	C₂×C₁₃×D₈	C₂³	1	2	yes	—
125	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
126	C₂×C₁₃×M₁₆	C₂³	1	4	yes	complemented
127	C₂²×C₈×C₁₃	C₂³	1	4	yes	complemented
128	C₁₃×C₄⋊Q₈	—	2	1	no	—
129	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
130	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
131	C₁₃×#127	—	2	1	no	—
132	C₁₃×#127	—	2	1	no	—
133	C₁₃×#127	C₂³	1	2	yes	—
134	C₁₃×#127	C₂³	1	2	yes	—
135	C₁₃×#126	—	2	2	no	—
136	C₁₃×#126	—	2	2	no	—
137	C₁₃×#126	—	2	1	no	—
138	C₁₃×#125	—	2	2	no	—
139	C₁₃×#125	—	2	1	no	—
140	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
141	C₁₃×#124	—	2	1	no	—
142	C₁₃×#124	—	2	2	no	—
143	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
144	C₁₃×#123	—	2	2	no	—
145	C₁₃×#123	—	2	2	no	—
146	C₁₃×#123	—	2	1	no	—
147	C₁₃×#123	—	2	2	no	—
148	C₁₃×#123	—	2	2	no	—
149	C₁₃×C₂²⋊Q₈	—	2	2	no	—
150	C₁₃×C₂²⋊Q₈	—	2	2	no	—
151	C₁₃×C₂²⋊Q₈	—	2	1	no	—
152	C₁₃×C₂²⋊Q₈	—	2	2	no	—
153	C₁₃×C₂²⋊Q₈	—	2	1	no	—
154	C₁₃×C₂²⋊Q₈	—	2	2	no	—
155	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
156	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
157	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
158	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
159	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
160	C₁₃×#121	—	2	2	no	—
161	C₁₃×#121	—	2	1	no	—
162	C₁₃×#121	—	2	2	no	—
163	C₁₃×#121	—	2	2	no	—
164	C₁₃×#121	—	2	2	no	—
165	C₁₃×#121	—	2	4	no	—
166	C₁₃×#121	—	2	2	no	—
167	C₁₃×#121	C₂³	1	1	yes	characteristic
168	C₁₃×#121	C₂³	1	4	yes	—
169	C₁₃×#121	C₂³	1	4	yes	—
170	C₁₃×#121	C₂³	1	2	yes	complemented
171	C₁₃×#120	—	2	2	no	—
172	C₁₃×#120	—	2	4	no	—
173	C₁₃×#120	—	2	4	no	—
174	C₁₃×#120	—	2	4	no	—
175	C₁₃×#120	—	2	4	no	—
176	C₄×Q₈×C₁₃	—	2	1	no	—
177	C₄×Q₈×C₁₃	—	2	1	no	—
178	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
179	C₄×Q₈×C₁₃	C₂³	1	2	yes	complemented
180	C₄×D₄×C₁₃	—	2	1	no	—
181	C₄×D₄×C₁₃	—	2	2	no	—
182	C₄×D₄×C₁₃	—	2	2	no	—
183	C₄×D₄×C₁₃	—	2	1	no	—
184	C₄×D₄×C₁₃	—	2	2	no	—
185	C₄×D₄×C₁₃	—	2	1	no	—
186	C₄×D₄×C₁₃	—	2	1	no	—
187	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
188	C₄×D₄×C₁₃	D₄	1	2	yes	—
189	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
190	C₄×D₄×C₁₃	C₂³	1	2	yes	—
191	C₄×D₄×C₁₃	C₂³	1	2	yes	—
192	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₄×D₄×C₁₃	C₂³	1	2	yes	—
194	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
196	C₁₃×#117	—	2	1	no	—
197	C₁₃×#117	—	2	2	no	—
198	C₁₃×#117	—	2	1	no	—
199	C₁₃×#117	C₂³	1	2	yes	complemented
200	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
201	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
202	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
205	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
206	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
207	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
208	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₁₃×#107	C₂³	1	2	yes	complemented
211	C₁₃×#107	C₂³	1	4	yes	complemented
212	C₁₃×#106	C₂³	1	2	yes	complemented
213	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
214	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
215	C₁₃×#103	C₂³	1	2	yes	complemented
216	C₁₃×#103	C₂³	1	4	yes	complemented
217	C₁₃×#102	C₂³	1	2	yes	—
218	C₁₃×#102	C₂³	1	4	yes	—
219	C₁₃×#102	C₂³	1	2	yes	—
220	C₁₃×#102	C₂³	1	4	yes	complemented
221	C₁₃×#102	C₂³	1	4	yes	complemented
222	C₁₃×#102	C₂³	1	4	yes	complemented
223	C₁₃×#102	C₂³	1	4	yes	complemented
224	C₁₃×#102	C₂³	1	2	yes	complemented
225	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
227	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
229	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
230	C₁₃×#97	C₂³	1	2	yes	complemented
231	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
232	#61600	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
233	C₂⁴×C₁₃	—	2	1	no	—
234	C₂⁴×C₁₃	—	2	2	no	—
235	C₂⁴×C₁₃	—	2	4	no	—
236	C₂⁴×C₁₃	—	2	4	no	—
237	C₂⁴×C₁₃	—	4	8	no	—
238	C₂⁴×C₁₃	—	4	8	no	—
239	C₂⁴×C₁₃	—	8	4	no	—
240	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
241	C₁₃×#41	—	4	4	no	—
242	C₁₃×#41	—	4	4	no	—
243	C₂×Q₈×C₁₃	—	2	1	no	—
244	C₂×Q₈×C₁₃	—	2	2	no	—
245	C₂×Q₈×C₁₃	—	4	4	no	—
246	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
247	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
248	C₂×D₄×C₁₃	—	2	4	no	—
249	C₂×D₄×C₁₃	—	2	4	no	—
250	C₂×D₄×C₁₃	—	2	8	no	—
251	C₂×D₄×C₁₃	—	2	8	no	—
252	C₂×D₄×C₁₃	—	2	1	no	—
253	C₂×D₄×C₁₃	—	2	2	no	—
254	C₂×D₄×C₁₃	—	2	4	no	—
255	C₂×D₄×C₁₃	—	2	4	no	—
256	C₂×D₄×C₁₃	—	2	2	no	—
257	C₂×D₄×C₁₃	—	2	1	no	—
258	C₂×D₄×C₁₃	—	2	4	no	—
259	C₂×D₄×C₁₃	—	2	4	no	—
260	C₂×D₄×C₁₃	—	2	2	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	—	2	2	no	—
265	C₂×D₄×C₁₃	—	4	4	no	—
266	C₂×D₄×C₁₃	—	4	4	no	—
267	C₂×D₄×C₁₃	—	4	4	no	—
268	C₂×D₄×C₁₃	—	4	4	no	—
269	C₂×D₄×C₁₃	—	4	8	no	—
270	C₂×D₄×C₁₃	—	4	8	no	—
271	C₂×D₄×C₁₃	—	4	16	no	—
272	C₂×D₄×C₁₃	—	4	8	no	—
273	C₂×D₄×C₁₃	—	4	8	no	—
274	C₂×D₄×C₁₃	—	4	8	no	—
275	C₂×D₄×C₁₃	—	4	8	no	—
276	C₂×D₄×C₁₃	—	8	2	no	—
277	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
278	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
279	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
280	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
281	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
282	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃	—	2	1	no	—
284	C₂²×C₄×C₁₃	—	2	2	no	—
285	C₂²×C₄×C₁₃	—	2	2	no	—
286	C₂²×C₄×C₁₃	—	2	1	no	—
287	C₂²×C₄×C₁₃	—	2	2	no	—
288	C₂²×C₄×C₁₃	—	2	2	no	—
289	C₂²×C₄×C₁₃	—	2	2	no	—
290	C₂²×C₄×C₁₃	—	4	4	no	—
291	C₂²×C₄×C₁₃	—	4	4	no	—
292	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
293	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
294	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
295	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
296	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
297	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
300	C₁₃×SD₁₆	—	2	4	no	—
301	C₁₃×SD₁₆	—	2	8	no	—
302	C₁₃×SD₁₆	—	4	4	no	—
303	C₁₃×SD₁₆	—	4	4	no	—
304	C₁₃×SD₁₆	—	4	4	no	—
305	C₁₃×D₈	—	2	4	no	—
306	C₁₃×D₈	—	4	4	no	—
307	C₁₃×M₁₆	—	4	4	no	—
308	C₂×C₈×C₁₃	—	4	4	no	—
309	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
310	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
311	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
312	C₁₃×C₄⋊C₄	—	2	1	no	—
313	C₁₃×C₄⋊C₄	—	2	2	no	—
314	C₁₃×C₄⋊C₄	—	2	1	no	—
315	C₁₃×C₄⋊C₄	—	2	2	no	—
316	C₁₃×C₄⋊C₄	—	2	2	no	—
317	C₁₃×C₄⋊C₄	—	2	1	no	—
318	C₁₃×C₄⋊C₄	—	2	2	no	—
319	C₁₃×C₄⋊C₄	—	2	1	no	—
320	C₁₃×C₄⋊C₄	—	2	1	no	—
321	C₁₃×C₄⋊C₄	—	2	1	no	—
322	C₁₃×C₄⋊C₄	—	2	2	no	—
323	C₁₃×C₄⋊C₄	—	2	1	no	—
324	C₁₃×C₄⋊C₄	—	2	2	no	—
325	C₁₃×C₄⋊C₄	—	2	1	no	—
326	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
327	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
328	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
329	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
330	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
331	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
332	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
333	C₁₃×C₂²⋊C₄	—	2	1	no	—
334	C₁₃×C₂²⋊C₄	—	2	2	no	—
335	C₁₃×C₂²⋊C₄	—	2	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	2	no	—
341	C₁₃×C₂²⋊C₄	—	2	4	no	—
342	C₁₃×C₂²⋊C₄	—	2	4	no	—
343	C₁₃×C₂²⋊C₄	—	2	1	no	—
344	C₁₃×C₂²⋊C₄	—	2	1	no	—
345	C₁₃×C₂²⋊C₄	—	2	1	no	—
346	C₁₃×C₂²⋊C₄	—	2	2	no	—
347	C₁₃×C₂²⋊C₄	—	2	1	no	—
348	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
349	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
350	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
351	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
352	C₄²×C₁₃	—	2	2	no	—
353	C₄²×C₁₃	—	2	2	no	—
354	C₄²×C₁₃	—	2	1	no	—
355	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
359	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
360	C₂×D₄²	C₂×C₁₃	1	1	yes	characteristic, complemented
361	#3324	C₂×C₁₃	1	2	yes	complemented
362	#3310	C₂×C₁₃	1	4	yes	complemented
363	#3294	C₂×C₁₃	1	2	yes	complemented
364	D₄×SD₁₆	C₂×C₁₃	1	2	yes	complemented
365	#3272	C₂×C₁₃	1	2	yes	complemented
366	#3265	C₂×C₁₃	1	4	yes	complemented
367	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
368	#3208	C₂×C₁₃	1	1	yes	characteristic, complemented
369	#3193	C₂×C₁₃	1	2	yes	complemented
370	#3188	C₂×C₁₃	1	2	yes	complemented
371	#3110	C₂×C₁₃	1	1	yes	characteristic, complemented
372	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
373	#3003	C₂×C₁₃	1	2	yes	complemented
374	C₂×#450	C₂×C₁₃	1	2	yes	complemented
375	#2974	C₂×C₁₃	1	1	yes	characteristic, complemented
376	C₂³×C₁₃	—	2	4	no	—
377	C₂³×C₁₃	—	2	4	no	—
378	C₂³×C₁₃	—	2	4	no	—
379	C₂³×C₁₃	—	2	2	no	—
380	C₂³×C₁₃	—	2	1	no	—
381	C₂³×C₁₃	—	2	4	no	—
382	C₂³×C₁₃	—	4	2	no	—
383	C₂³×C₁₃	—	4	8	no	—
384	C₂³×C₁₃	—	4	8	no	—
385	C₂³×C₁₃	—	4	2	no	—
386	C₂³×C₁₃	—	4	4	no	—
387	C₂³×C₁₃	—	4	4	no	—
388	C₂³×C₁₃	—	4	8	no	—
389	C₂³×C₁₃	—	4	2	no	—
390	C₂³×C₁₃	—	4	8	no	—
391	C₂³×C₁₃	—	4	4	no	—
392	C₂³×C₁₃	—	8	4	no	—
393	C₂³×C₁₃	—	8	4	no	—
394	C₂³×C₁₃	—	8	32	no	—
395	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
396	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
397	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
398	Q₈×C₁₃	—	2	2	no	—
399	Q₈×C₁₃	—	2	4	no	—
400	Q₈×C₁₃	—	4	2	no	—
401	Q₈×C₁₃	—	8	2	no	—
402	D₄×C₁₃	—	2	4	no	—
403	D₄×C₁₃	—	2	4	no	—
404	D₄×C₁₃	—	2	2	no	—
405	D₄×C₁₃	—	2	2	no	—
406	D₄×C₁₃	—	2	2	no	—
407	D₄×C₁₃	—	2	4	no	—
408	D₄×C₁₃	—	2	4	no	—
409	D₄×C₁₃	—	4	8	no	—
410	D₄×C₁₃	—	4	8	no	—
411	D₄×C₁₃	—	4	4	no	—
412	D₄×C₁₃	—	4	4	no	—
413	D₄×C₁₃	—	4	8	no	—
414	D₄×C₁₃	—	4	8	no	—
415	D₄×C₁₃	—	4	4	no	—
416	D₄×C₁₃	—	4	2	no	—
417	D₄×C₁₃	—	4	4	no	—
418	D₄×C₁₃	—	8	2	no	—
419	D₄×C₁₃	—	8	2	no	—
420	D₄×C₁₃	—	8	2	no	—
421	D₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
422	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
423	C₂×C₄×C₁₃	—	2	2	no	—
424	C₂×C₄×C₁₃	—	2	2	no	—
425	C₂×C₄×C₁₃	—	2	4	no	—
426	C₂×C₄×C₁₃	—	2	4	no	—
427	C₂×C₄×C₁₃	—	2	2	no	—
428	C₂×C₄×C₁₃	—	2	1	no	—
429	C₂×C₄×C₁₃	—	2	2	no	—
430	C₂×C₄×C₁₃	—	2	1	no	—
431	C₂×C₄×C₁₃	—	2	2	no	—
432	C₂×C₄×C₁₃	—	2	2	no	—
433	C₂×C₄×C₁₃	—	2	1	no	—
434	C₂×C₄×C₁₃	—	4	2	no	—
435	C₂×C₄×C₁₃	—	4	2	no	—
436	C₂×C₄×C₁₃	—	4	2	no	—
437	C₂×C₄×C₁₃	—	4	4	no	—
438	C₂×C₄×C₁₃	—	4	2	no	—
439	C₂×C₄×C₁₃	—	4	4	no	—
440	C₂×C₄×C₁₃	—	4	4	no	—
441	C₂×C₄×C₁₃	—	4	2	no	—
442	C₂×C₄×C₁₃	—	8	2	no	—
443	C₂×C₄×C₁₃	—	8	2	no	—
444	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
445	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
446	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
447	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
448	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
449	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
450	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
451	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
452	C₈×C₁₃	—	2	2	no	—
453	C₈×C₁₃	—	2	4	no	—
454	C₈×C₁₃	—	2	2	no	—
455	C₂³×D₄	—	2	1	no	—
456	C₂³×D₄	C₂²×C₁₃	1	2	yes	—
457	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	4	yes	complemented
458	C₂²×SD₁₆	C₂²×C₁₃	1	4	yes	complemented
459	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
460	#554	—	2	1	no	—
461	#552	C₂²×C₁₃	1	2	yes	complemented
462	#551	—	2	2	no	—
463	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
464	#548	C₂²×C₁₃	1	2	yes	complemented
465	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
466	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
467	#546	—	2	1	no	—
468	D₄²	—	2	1	no	—
469	D₄²	—	2	2	no	—
470	D₄²	—	2	1	no	—
471	D₄²	C₂²×C₁₃	1	4	yes	—
472	D₄²	C₂²×C₁₃	1	2	yes	—
473	D₄²	C₂²×C₁₃	1	2	yes	—
474	#542	—	2	1	no	—
475	#539	—	2	2	no	—
476	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
477	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
478	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
479	#525	C₂²×C₁₃	1	2	yes	complemented
480	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
481	C₂×#121	—	2	1	no	—
482	C₂×#121	C₂²×C₁₃	1	2	yes	—
483	C₂×#120	—	2	2	no	—
484	#520	—	2	1	no	—
485	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
486	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
487	#496	C₂²×C₁₃	1	2	yes	complemented
488	#492	C₂²×C₁₃	1	2	yes	complemented
489	#490	C₂²×C₁₃	1	2	yes	complemented
490	#486	C₂²×C₁₃	1	2	yes	complemented
491	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
492	#484	C₂²×C₁₃	1	2	yes	complemented
493	#482	C₂²×C₁₃	1	4	yes	complemented
494	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
495	#480	C₂²×C₁₃	1	4	yes	complemented
496	#478	C₂²×C₁₃	1	2	yes	complemented
497	#474	C₂²×C₁₃	1	2	yes	complemented
498	#468	C₂²×C₁₃	1	4	yes	complemented
499	#468	C₂²×C₁₃	1	4	yes	complemented
500	#466	C₂²×C₁₃	1	4	yes	complemented
501	#465	C₂²×C₁₃	1	4	yes	complemented
502	#463	C₂²×C₁₃	1	2	yes	complemented
503	#461	C₂²×C₁₃	1	2	yes	complemented
504	#460	C₂²×C₁₃	1	4	yes	complemented
505	#460	C₂²×C₁₃	1	2	yes	complemented
506	#459	C₂²×C₁₃	1	2	yes	complemented
507	#450	C₂²×C₁₃	1	1	yes	characteristic
508	#450	C₂²×C₁₃	1	2	yes	—
509	#450	C₂²×C₁₃	1	2	yes	complemented
510	#450	C₂²×C₁₃	1	2	yes	complemented
511	#450	C₂²×C₁₃	1	2	yes	complemented
512	#450	C₂²×C₁₃	1	4	yes	complemented
513	#450	C₂²×C₁₃	1	4	yes	complemented
514	#450	C₂²×C₁₃	1	4	yes	complemented
515	#449	C₂²×C₁₃	1	4	yes	complemented
516	#448	C₂²×C₁₃	1	4	yes	complemented
517	#447	C₂²×C₁₃	1	1	yes	characteristic
518	#447	C₂²×C₁₃	1	2	yes	complemented
519	#447	C₂²×C₁₃	1	4	yes	complemented
520	#440	C₂²×C₁₃	1	4	yes	complemented
521	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
522	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
523	#436	C₂²×C₁₃	1	2	yes	complemented
524	#435	C₂²×C₁₃	1	4	yes	complemented
525	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
526	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
527	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
528	#418	C₂²×C₁₃	1	4	yes	complemented
529	C₂×#102	C₂²×C₁₃	1	4	yes	complemented
530	#407	C₂²×C₁₃	1	2	yes	complemented
531	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	complemented
532	C₂²×C₁₃	—	2	1	no	—
533	C₂²×C₁₃	—	2	2	no	—
534	C₂²×C₁₃	—	2	1	no	—
535	C₂²×C₁₃	—	2	2	no	—
536	C₂²×C₁₃	—	2	2	no	—
537	C₂²×C₁₃	—	2	4	no	—
538	C₂²×C₁₃	—	2	2	no	—
539	C₂²×C₁₃	—	2	2	no	—
540	C₂²×C₁₃	—	4	8	no	—
541	C₂²×C₁₃	—	4	8	no	—
542	C₂²×C₁₃	—	4	2	no	—
543	C₂²×C₁₃	—	4	2	no	—
544	C₂²×C₁₃	—	4	1	no	—
545	C₂²×C₁₃	—	4	4	no	—
546	C₂²×C₁₃	—	4	1	no	—
547	C₂²×C₁₃	—	4	4	no	—
548	C₂²×C₁₃	—	4	1	no	—
549	C₂²×C₁₃	—	4	4	no	—
550	C₂²×C₁₃	—	8	16	no	—
551	C₂²×C₁₃	—	8	8	no	—
552	C₂²×C₁₃	—	8	16	no	—
553	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	4	yes	—
554	C₂²×C₁₃	#577	1	2	yes	—
555	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
556	C₄×C₁₃	—	2	1	no	—
557	C₄×C₁₃	—	2	2	no	—
558	C₄×C₁₃	—	2	2	no	—
559	C₄×C₁₃	—	2	1	no	—
560	C₄×C₁₃	—	2	1	no	—
561	C₄×C₁₃	—	2	1	no	—
562	C₄×C₁₃	—	4	2	no	—
563	C₄×C₁₃	—	4	1	no	—
564	C₄×C₁₃	—	4	1	no	—
565	C₄×C₁₃	—	4	2	no	—
566	C₄×C₁₃	—	4	2	no	—
567	C₄×C₁₃	—	4	1	no	—
568	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
569	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
570	C₂⁵	—	2	2	no	—
571	C₂×#41	—	2	1	no	—
572	C₂×#41	C₂³×C₁₃	1	2	yes	complemented
573	C₂²×Q₈	C₂³×C₁₃	1	2	yes	complemented
574	C₂²×D₄	—	2	2	no	—
575	C₂²×D₄	—	2	4	no	—
576	C₂²×D₄	—	2	2	no	—
577	C₂²×D₄	—	2	2	no	—
578	C₂²×D₄	—	2	2	no	—
579	C₂²×D₄	—	2	1	no	—
580	C₂²×D₄	—	2	2	no	—
581	C₂²×D₄	—	2	2	no	—
582	C₂²×D₄	—	2	1	no	—
583	C₂²×D₄	—	4	8	no	—
584	C₂²×D₄	—	4	8	no	—
585	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
586	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
587	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
588	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
589	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
590	C₂³×C₄	—	2	1	no	—
591	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
592	AGL(1,ℤ/8)	—	4	8	no	—
593	C₂×SD₁₆	—	4	8	no	—
594	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
595	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
596	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
597	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
598	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
599	C₂×D₈	C₂³×C₁₃	1	2	yes	—
600	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
601	C₂×M₁₆	C₂³×C₁₃	1	4	yes	complemented
602	C₂²×C₈	C₂³×C₁₃	1	4	yes	complemented
603	C₄⋊Q₈	—	2	1	no	—
604	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
605	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
606	#127	—	2	1	no	—
607	#127	—	2	1	no	—
608	#127	C₂³×C₁₃	1	2	yes	—
609	#127	C₂³×C₁₃	1	2	yes	—
610	#126	—	2	2	no	—
611	#126	—	2	2	no	—
612	#126	—	2	1	no	—
613	#125	—	2	2	no	—
614	#125	—	2	1	no	—
615	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
616	#124	—	2	1	no	—
617	#124	—	2	2	no	—
618	#124	C₂³×C₁₃	1	1	yes	characteristic, complemented
619	#123	—	2	2	no	—
620	#123	—	2	2	no	—
621	#123	—	2	1	no	—
622	#123	—	2	2	no	—
623	#123	—	2	2	no	—
624	C₂²⋊Q₈	—	2	2	no	—
625	C₂²⋊Q₈	—	2	2	no	—
626	C₂²⋊Q₈	—	2	1	no	—
627	C₂²⋊Q₈	—	2	2	no	—
628	C₂²⋊Q₈	—	2	1	no	—
629	C₂²⋊Q₈	—	2	2	no	—
630	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
631	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
632	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
633	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
634	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
635	#121	—	2	2	no	—
636	#121	—	2	1	no	—
637	#121	—	2	2	no	—
638	#121	—	2	2	no	—
639	#121	—	2	2	no	—
640	#121	—	2	4	no	—
641	#121	—	2	2	no	—
642	#121	C₂³×C₁₃	1	4	yes	—
643	#121	C₂³×C₁₃	1	4	yes	—
644	#121	C₂³×C₁₃	1	1	yes	characteristic
645	#121	C₂³×C₁₃	1	2	yes	complemented
646	#120	—	2	2	no	—
647	#120	—	2	4	no	—
648	#120	—	2	4	no	—
649	#120	—	2	4	no	—
650	#120	—	2	4	no	—
651	C₄×Q₈	—	2	1	no	—
652	C₄×Q₈	—	2	1	no	—
653	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
654	C₄×Q₈	C₂³×C₁₃	1	2	yes	complemented
655	C₄×D₄	—	2	1	no	—
656	C₄×D₄	—	2	2	no	—
657	C₄×D₄	—	2	2	no	—
658	C₄×D₄	—	2	1	no	—
659	C₄×D₄	—	2	2	no	—
660	C₄×D₄	—	2	1	no	—
661	C₄×D₄	—	2	1	no	—
662	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
663	C₄×D₄	D₄×C₁₃	1	2	yes	—
664	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
665	C₄×D₄	C₂³×C₁₃	1	2	yes	—
666	C₄×D₄	C₂³×C₁₃	1	2	yes	—
667	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
668	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
669	C₄×D₄	C₂³×C₁₃	1	2	yes	—
670	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
671	#117	—	2	1	no	—
672	#117	—	2	2	no	—
673	#117	—	2	1	no	—
674	#117	C₂³×C₁₃	1	2	yes	complemented
675	C₂×C₄⋊C₄	—	2	2	no	—
676	C₂×C₄⋊C₄	—	2	1	no	—
677	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
678	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
679	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
680	C₂×C₂²⋊C₄	—	2	2	no	—
681	C₂×C₂²⋊C₄	—	2	1	no	—
682	C₂×C₂²⋊C₄	—	2	2	no	—
683	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
684	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
685	#107	C₂³×C₁₃	1	2	yes	complemented
686	#107	C₂³×C₁₃	1	4	yes	complemented
687	#106	C₂³×C₁₃	1	2	yes	complemented
688	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
689	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
690	#103	C₂³×C₁₃	1	2	yes	complemented
691	#103	C₂³×C₁₃	1	4	yes	complemented
692	#102	C₂³×C₁₃	1	2	yes	—
693	#102	C₂³×C₁₃	1	4	yes	—
694	#102	C₂³×C₁₃	1	2	yes	—
695	#102	C₂³×C₁₃	1	4	yes	complemented
696	#102	C₂³×C₁₃	1	4	yes	complemented
697	#102	C₂³×C₁₃	1	4	yes	complemented
698	#102	C₂³×C₁₃	1	4	yes	complemented
699	#102	C₂³×C₁₃	1	2	yes	complemented
700	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
701	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
702	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
703	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
704	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
705	#97	C₂³×C₁₃	1	2	yes	complemented
706	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
707	C₂×C₁₃	—	2	2	no	—
708	C₂×C₁₃	—	2	4	no	—
709	C₂×C₁₃	—	4	2	no	—
710	C₂×C₁₃	—	4	4	no	—
711	C₂×C₁₃	—	8	1	no	—
712	C₂×C₁₃	—	8	4	no	—
713	C₂×C₁₃	#3484	1	1	yes	characteristic
714	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
715	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
716	C₂⁴	—	2	1	no	—
717	C₂⁴	—	2	2	no	—
718	C₂⁴	—	2	4	no	—
719	C₂⁴	—	2	4	no	—
720	C₂⁴	—	4	8	no	—
721	C₂⁴	—	4	8	no	—
722	C₂⁴	—	8	4	no	—
723	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
724	#41	—	4	4	no	—
725	#41	—	4	4	no	—
726	C₂×Q₈	—	2	1	no	—
727	C₂×Q₈	—	2	2	no	—
728	C₂×Q₈	—	4	4	no	—
729	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
730	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
731	C₂×D₄	—	2	4	no	—
732	C₂×D₄	—	2	4	no	—
733	C₂×D₄	—	2	8	no	—
734	C₂×D₄	—	2	8	no	—
735	C₂×D₄	—	2	1	no	—
736	C₂×D₄	—	2	2	no	—
737	C₂×D₄	—	2	4	no	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	2	no	—
740	C₂×D₄	—	2	1	no	—
741	C₂×D₄	—	2	4	no	—
742	C₂×D₄	—	2	4	no	—
743	C₂×D₄	—	2	2	no	—
744	C₂×D₄	—	2	2	no	—
745	C₂×D₄	—	2	2	no	—
746	C₂×D₄	—	2	2	no	—
747	C₂×D₄	—	2	2	no	—
748	C₂×D₄	—	4	4	no	—
749	C₂×D₄	—	4	4	no	—
750	C₂×D₄	—	4	4	no	—
751	C₂×D₄	—	4	4	no	—
752	C₂×D₄	—	4	8	no	—
753	C₂×D₄	—	4	8	no	—
754	C₂×D₄	—	4	16	no	—
755	C₂×D₄	—	4	8	no	—
756	C₂×D₄	—	4	8	no	—
757	C₂×D₄	—	4	8	no	—
758	C₂×D₄	—	4	8	no	—
759	C₂×D₄	—	8	2	no	—
760	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
761	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
762	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
763	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
764	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
765	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
766	C₂²×C₄	—	2	1	no	—
767	C₂²×C₄	—	2	2	no	—
768	C₂²×C₄	—	2	2	no	—
769	C₂²×C₄	—	2	1	no	—
770	C₂²×C₄	—	2	2	no	—
771	C₂²×C₄	—	2	2	no	—
772	C₂²×C₄	—	2	2	no	—
773	C₂²×C₄	—	4	4	no	—
774	C₂²×C₄	—	4	4	no	—
775	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
776	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
777	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
778	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
779	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
780	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
781	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
782	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
783	SD₁₆	—	2	4	no	—
784	SD₁₆	—	2	8	no	—
785	SD₁₆	—	4	4	no	—
786	SD₁₆	—	4	4	no	—
787	SD₁₆	—	4	4	no	—
788	D₈	—	2	4	no	—
789	D₈	—	4	4	no	—
790	M₁₆	—	4	4	no	—
791	C₂×C₈	—	4	4	no	—
792	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
793	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
794	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
795	C₄⋊C₄	—	2	1	no	—
796	C₄⋊C₄	—	2	2	no	—
797	C₄⋊C₄	—	2	1	no	—
798	C₄⋊C₄	—	2	2	no	—
799	C₄⋊C₄	—	2	2	no	—
800	C₄⋊C₄	—	2	1	no	—
801	C₄⋊C₄	—	2	2	no	—
802	C₄⋊C₄	—	2	1	no	—
803	C₄⋊C₄	—	2	1	no	—
804	C₄⋊C₄	—	2	1	no	—
805	C₄⋊C₄	—	2	2	no	—
806	C₄⋊C₄	—	2	1	no	—
807	C₄⋊C₄	—	2	2	no	—
808	C₄⋊C₄	—	2	1	no	—
809	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
810	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
811	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
812	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
813	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
814	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
815	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
816	C₂²⋊C₄	—	2	1	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	4	no	—
825	C₂²⋊C₄	—	2	4	no	—
826	C₂²⋊C₄	—	2	1	no	—
827	C₂²⋊C₄	—	2	1	no	—
828	C₂²⋊C₄	—	2	1	no	—
829	C₂²⋊C₄	—	2	2	no	—
830	C₂²⋊C₄	—	2	1	no	—
831	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
832	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
833	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
834	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
835	C₄²	—	2	2	no	—
836	C₄²	—	2	2	no	—
837	C₄²	—	2	1	no	—
838	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
839	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
840	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
841	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
842	C₁₃	#61600	1	1	yes	characteristic, direct product factor, Sylow
843	C₂³	—	2	4	no	—
844	C₂³	—	2	4	no	—
845	C₂³	—	2	4	no	—
846	C₂³	—	2	2	no	—
847	C₂³	—	2	1	no	—
848	C₂³	—	2	4	no	—
849	C₂³	—	4	2	no	—
850	C₂³	—	4	8	no	—
851	C₂³	—	4	8	no	—
852	C₂³	—	4	2	no	—
853	C₂³	—	4	4	no	—
854	C₂³	—	4	4	no	—
855	C₂³	—	4	8	no	—
856	C₂³	—	4	2	no	—
857	C₂³	—	4	8	no	—
858	C₂³	—	4	4	no	—
859	C₂³	—	8	4	no	—
860	C₂³	—	8	4	no	—
861	C₂³	—	8	32	no	—
862	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
863	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
864	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
865	Q₈	—	2	2	no	—
866	Q₈	—	2	4	no	—
867	Q₈	—	4	2	no	—
868	Q₈	—	8	2	no	—
869	D₄	—	2	4	no	—
870	D₄	—	2	4	no	—
871	D₄	—	2	2	no	—
872	D₄	—	2	2	no	—
873	D₄	—	2	2	no	—
874	D₄	—	2	4	no	—
875	D₄	—	2	4	no	—
876	D₄	—	4	8	no	—
877	D₄	—	4	8	no	—
878	D₄	—	4	4	no	—
879	D₄	—	4	4	no	—
880	D₄	—	4	8	no	—
881	D₄	—	4	8	no	—
882	D₄	—	4	4	no	—
883	D₄	—	4	2	no	—
884	D₄	—	4	4	no	—
885	D₄	—	8	2	no	—
886	D₄	—	8	2	no	—
887	D₄	—	8	2	no	—
888	D₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
889	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	2	no	—
892	C₂×C₄	—	2	4	no	—
893	C₂×C₄	—	2	4	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	4	2	no	—
902	C₂×C₄	—	4	2	no	—
903	C₂×C₄	—	4	2	no	—
904	C₂×C₄	—	4	4	no	—
905	C₂×C₄	—	4	2	no	—
906	C₂×C₄	—	4	4	no	—
907	C₂×C₄	—	4	4	no	—
908	C₂×C₄	—	4	2	no	—
909	C₂×C₄	—	8	2	no	—
910	C₂×C₄	—	8	2	no	—
911	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
912	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
913	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
914	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
915	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
916	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
917	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
918	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
919	C₈	—	2	2	no	—
920	C₈	—	2	4	no	—
921	C₈	—	2	2	no	—
922	C₂²	—	2	1	no	—
923	C₂²	—	2	2	no	—
924	C₂²	—	2	1	no	—
925	C₂²	—	2	2	no	—
926	C₂²	—	2	2	no	—
927	C₂²	—	2	2	no	—
928	C₂²	—	2	2	no	—
929	C₂²	—	2	4	no	—
930	C₂²	—	4	8	no	—
931	C₂²	—	4	8	no	—
932	C₂²	—	4	2	no	—
933	C₂²	—	4	2	no	—
934	C₂²	—	4	1	no	—
935	C₂²	—	4	4	no	—
936	C₂²	—	4	1	no	—
937	C₂²	—	4	4	no	—
938	C₂²	—	4	1	no	—
939	C₂²	—	4	4	no	—
940	C₂²	—	8	16	no	—
941	C₂²	—	8	8	no	—
942	C₂²	—	8	16	no	—
943	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	4	yes	—
944	C₂²	C₁₃×#577	1	2	yes	—
945	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
946	C₄	—	2	1	no	—
947	C₄	—	2	1	no	—
948	C₄	—	2	1	no	—
949	C₄	—	2	1	no	—
950	C₄	—	2	2	no	—
951	C₄	—	2	2	no	—
952	C₄	—	4	1	no	—
953	C₄	—	4	2	no	—
954	C₄	—	4	2	no	—
955	C₄	—	4	1	no	—
956	C₄	—	4	2	no	—
957	C₄	—	4	1	no	—
958	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
959	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
960	C₂	—	2	2	no	—
961	C₂	—	2	4	no	—
962	C₂	—	4	2	no	—
963	C₂	—	4	4	no	—
964	C₂	—	8	4	no	—
965	C₂	—	8	1	no	—
966	C₂	C₁₃×#3484	1	1	yes	characteristic
967	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
968	C₂	C₂×C₁₃×#577	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3520	C₂	semidirect
2. C₂×D₄²×C₁₃	C₂	semidirect
3. C₁₃×#3324	C₂	semidirect
4. C₁₃×#3310	C₂	semidirect
5. C₁₃×#3294	C₂	semidirect
6. D₄×C₁₃×SD₁₆	C₂	semidirect
7. C₁₃×#3272	C₂	semidirect
8. C₁₃×#3265	C₂	semidirect
9. C₁₃×#3217	C₂	semidirect
10. C₁₃×#3208	C₂	semidirect
11. C₁₃×#3193	C₂	semidirect
12. C₁₃×#3188	C₂	semidirect
13. C₁₃×#3110	C₂	semidirect
14. C₁₃×#3105	C₂	semidirect
15. C₁₃×#3003	C₂	semidirect
16. C₂×C₁₃×#450	C₂	semidirect
17. C₁₃×#2974	C₂	semidirect
20. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂²×C₁₃×SD₁₆	C₂²	semidirect
22. C₁₃×#556	C₂²	semidirect
24. C₁₃×#552	C₂²	semidirect
26. D₄×Q₈×C₁₃	C₂²	semidirect
27. C₁₃×#548	C₂²	semidirect
28. C₁₃×#547	C₂²	semidirect
29. C₁₃×#547	C₂²	semidirect
39. C₁₃×#533	C₂²	semidirect
41. C₁₃×#529	C₂²	semidirect
42. C₁₃×#525	C₂²	semidirect
43. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
50. C₁₃×#496	C₂²	semidirect
51. C₁₃×#492	C₂²	semidirect
52. C₁₃×#490	C₂²	semidirect
53. C₁₃×#486	C₂²	semidirect
54. C₁₃×#484	C₂²	semidirect
55. C₁₃×#484	C₂²	semidirect
56. C₁₃×#482	C₂²	semidirect
57. C₁₃×#481	C₂²	semidirect
58. C₁₃×#480	C₂²	semidirect
59. C₁₃×#478	C₂²	semidirect
60. C₁₃×#474	C₂²	semidirect
61. C₁₃×#468	C₂²	semidirect
62. C₁₃×#468	C₂²	semidirect
63. C₁₃×#466	C₂²	semidirect
64. C₁₃×#465	C₂²	semidirect
65. C₁₃×#463	C₂²	semidirect
66. C₁₃×#461	C₂²	semidirect
67. C₁₃×#460	C₂²	semidirect
68. C₁₃×#460	C₂²	semidirect
69. C₁₃×#459	C₂²	semidirect
72. C₁₃×#450	C₂²	semidirect
73. C₁₃×#450	C₂²	semidirect
74. C₁₃×#450	C₂²	semidirect
75. C₁₃×#450	C₂²	semidirect
76. C₁₃×#450	C₂²	semidirect
77. C₁₃×#450	C₂²	semidirect
78. C₁₃×#449	C₂²	semidirect
79. C₁₃×#448	C₂²	semidirect
81. C₁₃×#447	C₂²	semidirect
82. C₁₃×#447	C₂²	semidirect
83. C₁₃×#440	C₂²	semidirect
84. C₄×C₁₃×SD₁₆	C₂²	semidirect
85. C₄×C₁₃×D₈	C₂²	semidirect
86. C₁₃×#436	C₂²	semidirect
87. C₁₃×#435	C₂²	semidirect
88. C₈×D₄×C₁₃	C₂²	semidirect
89. C₁₃×#432	C₂²	semidirect
90. C₁₃×#431	C₂²	semidirect
91. C₁₃×#418	C₂²	semidirect
92. C₂×C₁₃×#102	C₂²	semidirect
93. C₁₃×#407	C₂²	semidirect
94. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
97. C₂×C₁₃×#41	C₂³	semidirect
98. C₂²×Q₈×C₁₃	C₂³	semidirect
121. C₂×C₁₃×SD₁₆	C₂³	semidirect
122. C₂×C₁₃×SD₁₆	C₂³	semidirect
123. C₂×C₁₃×SD₁₆	C₂³	semidirect
125. C₂×C₁₃×D₈	C₂³	semidirect
126. C₂×C₁₃×M₁₆	C₂³	semidirect
127. C₂²×C₈×C₁₃	C₂³	semidirect
129. C₁₃×C₄⋊Q₈	C₂³	semidirect
130. C₁₃×C₄⋊Q₈	C₂³	semidirect
140. C₁₃×#125	C₂³	semidirect
143. C₁₃×#124	C₂³	semidirect
157. C₁₃×C₂²⋊Q₈	C₂³	semidirect
158. C₁₃×C₂²⋊Q₈	C₂³	semidirect
159. C₁₃×C₂²⋊Q₈	C₂³	semidirect
170. C₁₃×#121	C₂³	semidirect
178. C₄×Q₈×C₁₃	C₂³	semidirect
179. C₄×Q₈×C₁₃	C₂³	semidirect
195. C₄×D₄×C₁₃	C₂³	semidirect
199. C₁₃×#117	C₂³	semidirect
204. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
210. C₁₃×#107	C₂³	semidirect
211. C₁₃×#107	C₂³	semidirect
212. C₁₃×#106	C₂³	semidirect
213. C₁₃×C₄⋊C₈	C₂³	semidirect
214. C₁₃×C₄⋊C₈	C₂³	semidirect
215. C₁₃×#103	C₂³	semidirect
216. C₁₃×#103	C₂³	semidirect
220. C₁₃×#102	C₂³	semidirect
221. C₁₃×#102	C₂³	semidirect
222. C₁₃×#102	C₂³	semidirect
223. C₁₃×#102	C₂³	semidirect
224. C₁₃×#102	C₂³	semidirect
228. C₁₃×C₂²⋊C₈	C₂³	semidirect
229. C₁₃×C₂²⋊C₈	C₂³	semidirect
230. C₁₃×#97	C₂³	semidirect
231. C₄×C₈×C₁₃	C₂³	semidirect
232. #61600	C₁₃	direct (N × H)
359. #3520	C₂×C₁₃	semidirect
360. C₂×D₄²	C₂×C₁₃	semidirect
361. #3324	C₂×C₁₃	semidirect
362. #3310	C₂×C₁₃	semidirect
363. #3294	C₂×C₁₃	semidirect
364. D₄×SD₁₆	C₂×C₁₃	semidirect
365. #3272	C₂×C₁₃	semidirect
366. #3265	C₂×C₁₃	semidirect
367. #3217	C₂×C₁₃	semidirect
368. #3208	C₂×C₁₃	semidirect
369. #3193	C₂×C₁₃	semidirect
370. #3188	C₂×C₁₃	semidirect
371. #3110	C₂×C₁₃	semidirect
372. #3105	C₂×C₁₃	semidirect
373. #3003	C₂×C₁₃	semidirect
374. C₂×#450	C₂×C₁₃	semidirect
375. #2974	C₂×C₁₃	semidirect
421. D₄×C₁₃	AGL(1,ℤ/8)	semidirect
457. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
458. C₂²×SD₁₆	C₂²×C₁₃	semidirect
459. #556	C₂²×C₁₃	semidirect
461. #552	C₂²×C₁₃	semidirect
463. D₄×Q₈	C₂²×C₁₃	semidirect
464. #548	C₂²×C₁₃	semidirect
465. #547	C₂²×C₁₃	semidirect
466. #547	C₂²×C₁₃	semidirect
476. #533	C₂²×C₁₃	semidirect
478. #529	C₂²×C₁₃	semidirect
479. #525	C₂²×C₁₃	semidirect
480. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
487. #496	C₂²×C₁₃	semidirect
488. #492	C₂²×C₁₃	semidirect
489. #490	C₂²×C₁₃	semidirect
490. #486	C₂²×C₁₃	semidirect
491. #484	C₂²×C₁₃	semidirect
492. #484	C₂²×C₁₃	semidirect
493. #482	C₂²×C₁₃	semidirect
494. #481	C₂²×C₁₃	semidirect
495. #480	C₂²×C₁₃	semidirect
496. #478	C₂²×C₁₃	semidirect
497. #474	C₂²×C₁₃	semidirect
498. #468	C₂²×C₁₃	semidirect
499. #468	C₂²×C₁₃	semidirect
500. #466	C₂²×C₁₃	semidirect
501. #465	C₂²×C₁₃	semidirect
502. #463	C₂²×C₁₃	semidirect
503. #461	C₂²×C₁₃	semidirect
504. #460	C₂²×C₁₃	semidirect
505. #460	C₂²×C₁₃	semidirect
506. #459	C₂²×C₁₃	semidirect
509. #450	C₂²×C₁₃	semidirect
510. #450	C₂²×C₁₃	semidirect
511. #450	C₂²×C₁₃	semidirect
512. #450	C₂²×C₁₃	semidirect
513. #450	C₂²×C₁₃	semidirect
514. #450	C₂²×C₁₃	semidirect
515. #449	C₂²×C₁₃	semidirect
516. #448	C₂²×C₁₃	semidirect
518. #447	C₂²×C₁₃	semidirect
519. #447	C₂²×C₁₃	semidirect
520. #440	C₂²×C₁₃	semidirect
521. C₄×SD₁₆	C₂²×C₁₃	semidirect
522. C₄×D₈	C₂²×C₁₃	semidirect
523. #436	C₂²×C₁₃	semidirect
524. #435	C₂²×C₁₃	semidirect
525. C₈×D₄	C₂²×C₁₃	semidirect
526. #432	C₂²×C₁₃	semidirect
527. #431	C₂²×C₁₃	semidirect
528. #418	C₂²×C₁₃	semidirect
529. C₂×#102	C₂²×C₁₃	semidirect
530. #407	C₂²×C₁₃	semidirect
531. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
572. C₂×#41	C₂³×C₁₃	semidirect
573. C₂²×Q₈	C₂³×C₁₃	semidirect
596. C₂×SD₁₆	C₂³×C₁₃	semidirect
597. C₂×SD₁₆	C₂³×C₁₃	semidirect
598. C₂×SD₁₆	C₂³×C₁₃	semidirect
600. C₂×D₈	C₂³×C₁₃	semidirect
601. C₂×M₁₆	C₂³×C₁₃	semidirect
602. C₂²×C₈	C₂³×C₁₃	semidirect
604. C₄⋊Q₈	C₂³×C₁₃	semidirect
605. C₄⋊Q₈	C₂³×C₁₃	semidirect
615. #125	C₂³×C₁₃	semidirect
618. #124	C₂³×C₁₃	semidirect
632. C₂²⋊Q₈	C₂³×C₁₃	semidirect
633. C₂²⋊Q₈	C₂³×C₁₃	semidirect
634. C₂²⋊Q₈	C₂³×C₁₃	semidirect
645. #121	C₂³×C₁₃	semidirect
653. C₄×Q₈	C₂³×C₁₃	semidirect
654. C₄×Q₈	C₂³×C₁₃	semidirect
670. C₄×D₄	C₂³×C₁₃	semidirect
674. #117	C₂³×C₁₃	semidirect
679. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
685. #107	C₂³×C₁₃	semidirect
686. #107	C₂³×C₁₃	semidirect
687. #106	C₂³×C₁₃	semidirect
688. C₄⋊C₈	C₂³×C₁₃	semidirect
689. C₄⋊C₈	C₂³×C₁₃	semidirect
690. #103	C₂³×C₁₃	semidirect
691. #103	C₂³×C₁₃	semidirect
695. #102	C₂³×C₁₃	semidirect
696. #102	C₂³×C₁₃	semidirect
697. #102	C₂³×C₁₃	semidirect
698. #102	C₂³×C₁₃	semidirect
699. #102	C₂³×C₁₃	semidirect
703. C₂²⋊C₈	C₂³×C₁₃	semidirect
704. C₂²⋊C₈	C₂³×C₁₃	semidirect
705. #97	C₂³×C₁₃	semidirect
706. C₄×C₈	C₂³×C₁₃	semidirect
842. C₁₃	#61600	direct (N × H)
888. D₄	C₁₃×AGL(1,ℤ/8)	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#3520	2
C₂×D₄²×C₁₃	2
C₁₃×#3324	2
C₁₃×#3310	2
C₁₃×#3294	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3272	2
C₁₃×#3265	2
C₁₃×#3217	2
C₁₃×#3208	2
C₁₃×#3193	2
C₁₃×#3188	2
C₁₃×#3110	2
C₁₃×#3105	2
C₁₃×#3003	2
C₂×C₁₃×#450	2
C₁₃×#2974	2
#61600	13

Subgroups — C13×#61600 #15747939

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61600 #15747939