Subgroups — C₁₃×#62093 #15748432

Order 3328.

1896 conjugacy classes of subgroups.

The subgroup lattice has 1106 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3558	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3326	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3274	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3253	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3213	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3045	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2995	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
21	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
23	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
24	C₁₃×#562	—	2	1	no	—
25	C₁₃×H(3,𝔽₄)	—	2	1	no	—
26	C₁₃×#559	C₂²	1	2	yes	—
27	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#553	—	2	2	no	—
29	C₁₃×#553	C₂²	1	2	yes	complemented
30	C₁₃×#550	—	2	1	no	—
31	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#550	C₂²	1	2	yes	complemented
33	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#548	C₂²	1	2	yes	—
35	C₁₃×#547	—	2	1	no	—
36	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	—	2	2	no	—
38	C₁₃×#546	C₂²	1	2	yes	—
39	D₄²×C₁₃	C₂²	1	2	yes	—
40	C₁₃×#542	C₂²	1	2	yes	—
41	C₁₃×#540	—	2	2	no	—
42	C₁₃×#540	C₂²	1	2	yes	complemented
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#538	—	2	1	no	—
45	C₁₃×#535	C₂²	1	2	yes	—
46	C₁₃×#534	—	2	1	no	—
47	C₁₃×#532	—	2	1	no	—
48	C₁₃×#532	C₂²	1	1	yes	characteristic
49	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#529	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
53	C₁₃×#520	C₂²	1	2	yes	complemented
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#496	C₂²	1	2	yes	complemented
56	C₁₃×#496	C₂²	1	2	yes	complemented
57	C₁₃×#493	C₂²	1	2	yes	—
58	C₁₃×#490	C₂²	1	2	yes	—
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#488	C₂²	1	2	yes	complemented
61	C₁₃×#483	C₂²	1	2	yes	complemented
62	C₁₃×#482	C₂²	1	2	yes	complemented
63	C₁₃×#481	C₂²	1	2	yes	—
64	C₁₃×#479	C₂²	1	2	yes	complemented
65	C₁₃×#478	C₂²	1	2	yes	complemented
66	C₁₃×#476	C₂²	1	2	yes	complemented
67	C₁₃×#476	C₂²	1	2	yes	complemented
68	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#469	C₂²	1	2	yes	—
71	C₁₃×#469	C₂²	1	2	yes	complemented
72	C₁₃×#469	C₂²	1	2	yes	complemented
73	C₁₃×#468	C₂²	1	2	yes	complemented
74	C₁₃×#466	C₂²	1	2	yes	—
75	C₁₃×#465	C₂²	1	2	yes	complemented
76	C₁₃×#464	C₂²	1	2	yes	complemented
77	C₁₃×#464	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#463	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	complemented
81	C₁₃×#463	C₂²	1	2	yes	complemented
82	C₁₃×#463	C₂²	1	2	yes	complemented
83	C₁₃×#463	C₂²	1	2	yes	complemented
84	C₁₃×#460	C₂²	1	2	yes	—
85	C₁₃×#460	C₂²	1	2	yes	complemented
86	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#459	C₂²	1	2	yes	—
88	C₁₃×#459	C₂²	1	2	yes	complemented
89	C₁₃×#459	C₂²	1	2	yes	complemented
90	C₁₃×#459	C₂²	1	2	yes	complemented
91	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#452	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	—
94	C₁₃×#449	C₂²	1	2	yes	complemented
95	C₁₃×#449	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#448	C₂²	1	2	yes	complemented
98	C₁₃×#447	C₂²	1	2	yes	—
99	C₁₃×#447	C₂²	1	2	yes	complemented
100	C₁₃×#447	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	2	yes	complemented
102	C₁₃×#442	C₂²	1	2	yes	complemented
103	C₁₃×#442	C₂²	1	2	yes	complemented
104	C₁₃×#441	C₂²	1	2	yes	complemented
105	C₁₃×#440	C₂²	1	2	yes	complemented
106	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
107	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
108	C₁₃×#436	C₂²	1	2	yes	complemented
109	C₁₃×#435	C₂²	1	2	yes	complemented
110	C₁₃×#435	C₂²	1	2	yes	complemented
111	C₁₃×#433	C₂²	1	2	yes	complemented
112	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#424	C₂²	1	2	yes	complemented
114	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#418	C₂²	1	1	yes	characteristic
117	C₁₃×#417	C₂²	1	2	yes	complemented
118	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	—	2	1	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	—	2	1	no	—
123	C₂×C₁₃×#41	C₂³	1	2	yes	—
124	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
125	C₂×C₁₃×#41	C₂³	1	2	yes	—
126	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃	—	2	2	no	—
128	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
130	C₁₃×#137	—	4	2	no	—
131	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
132	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
133	C₁₃×#135	—	4	4	no	—
134	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
135	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
136	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
137	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
138	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
139	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
140	C₂×C₁₃×D₈	C₂³	1	2	yes	—
141	C₂×C₁₃×D₈	C₂³	1	2	yes	—
142	C₂×C₁₃×D₈	C₂³	1	2	yes	—
143	C₂×C₁₃×D₈	C₂³	1	2	yes	—
144	C₂×C₁₃×D₈	C₂³	1	2	yes	—
145	C₂×C₁₃×D₈	C₂³	1	2	yes	—
146	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
149	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
150	C₁₃×C₄⋊Q₈	—	2	1	no	—
151	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
152	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
153	C₁₃×#127	—	2	1	no	—
154	C₁₃×#127	—	2	2	no	—
155	C₁₃×#127	C₂³	1	2	yes	—
156	C₁₃×#127	C₂³	1	1	yes	characteristic
157	C₁₃×#127	C₂³	1	1	yes	characteristic
158	C₁₃×#127	C₂³	1	2	yes	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	D₄	1	2	yes	—
162	C₁₃×#125	—	2	2	no	—
163	C₁₃×#125	D₄	1	1	yes	characteristic
164	C₁₃×#125	C₂³	1	2	yes	—
165	C₁₃×#124	—	2	2	no	—
166	C₁₃×#124	—	2	2	no	—
167	C₁₃×#124	—	2	2	no	—
168	C₁₃×#124	—	2	1	no	—
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	—	2	1	no	—
171	C₁₃×#124	—	2	1	no	—
172	C₁₃×#124	D₄	1	1	yes	characteristic
173	C₁₃×#124	C₂³	1	2	yes	—
174	C₁₃×#124	C₂³	1	2	yes	—
175	C₁₃×#124	C₂³	1	2	yes	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	D₄	1	2	yes	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
189	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
190	C₁₃×#121	—	2	2	no	—
191	C₁₃×#121	—	2	2	no	—
192	C₁₃×#121	—	2	1	no	—
193	C₁₃×#121	—	2	1	no	—
194	C₁₃×#121	—	2	1	no	—
195	C₁₃×#121	—	2	2	no	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	2	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	2	no	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	D₄	1	1	yes	characteristic
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#121	C₂³	1	2	yes	—
211	C₁₃×#120	—	2	2	no	—
212	C₁₃×#120	—	2	2	no	—
213	C₁₃×#120	—	2	2	no	—
214	C₁₃×#120	—	2	2	no	—
215	C₁₃×#120	—	2	2	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
218	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
219	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×D₄×C₁₃	—	2	1	no	—
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	2	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	C₂³	1	2	yes	—
234	C₄×D₄×C₁₃	C₂³	1	2	yes	—
235	C₄×D₄×C₁₃	C₂³	1	2	yes	—
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	2	yes	—
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₁₃×#117	—	2	2	no	—
242	C₁₃×#117	—	2	1	no	—
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	C₁₃×#117	C₂³	1	2	yes	—
245	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
247	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
250	C₂×C₄²×C₁₃	—	2	1	no	—
251	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
252	C₁₃×#107	C₂³	1	2	yes	—
253	C₁₃×#106	C₂³	1	2	yes	—
254	C₁₃×#106	C₂³	1	2	yes	—
255	C₁₃×#106	C₂³	1	2	yes	—
256	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
257	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
258	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
259	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
260	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
261	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
262	C₁₃×#103	C₂³	1	2	yes	—
263	C₁₃×#103	C₂³	1	2	yes	—
264	C₁₃×#103	C₂³	1	2	yes	—
265	C₁₃×#103	C₂³	1	2	yes	—
266	C₁₃×#103	C₂³	1	2	yes	—
267	C₁₃×#102	C₂³	1	2	yes	—
268	C₁₃×#102	C₂³	1	2	yes	—
269	C₁₃×#102	C₂³	1	2	yes	—
270	C₁₃×#102	C₂³	1	2	yes	—
271	C₁₃×#102	C₂³	1	2	yes	—
272	C₁₃×#102	C₂³	1	2	yes	—
273	C₁₃×#102	C₂³	1	2	yes	—
274	C₁₃×#102	C₂³	1	2	yes	—
275	C₁₃×#102	C₂³	1	2	yes	—
276	C₁₃×#102	C₂³	1	2	yes	—
277	C₁₃×#102	C₂³	1	2	yes	—
278	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
281	C₁₃×#97	C₂³	1	2	yes	—
282	C₁₃×#97	C₂³	1	2	yes	—
283	C₄×C₈×C₁₃	C₂³	1	2	yes	—
284	#62093	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
285	C₂⁴×C₁₃	—	2	1	no	—
286	C₂⁴×C₁₃	—	2	2	no	—
287	C₁₃×#41	—	2	4	no	—
288	C₁₃×#41	—	2	2	no	—
289	C₁₃×#41	—	4	1	no	—
290	C₁₃×#41	—	4	2	no	—
291	C₁₃×#41	—	4	2	no	—
292	C₁₃×#41	—	4	2	no	—
293	C₁₃×#41	—	8	2	no	—
294	C₁₃×#41	—	8	2	no	—
295	C₁₃×#41	—	8	2	no	—
296	C₁₃×#41	—	8	2	no	—
297	C₂×Q₈×C₁₃	—	2	1	no	—
298	C₂×Q₈×C₁₃	—	2	1	no	—
299	C₂×Q₈×C₁₃	—	2	1	no	—
300	C₂×Q₈×C₁₃	—	4	1	no	—
301	C₂×Q₈×C₁₃	—	4	1	no	—
302	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
303	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
304	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
305	C₂×D₄×C₁₃	—	2	2	no	—
306	C₂×D₄×C₁₃	—	2	1	no	—
307	C₂×D₄×C₁₃	—	2	2	no	—
308	C₂×D₄×C₁₃	—	2	2	no	—
309	C₂×D₄×C₁₃	—	2	2	no	—
310	C₂×D₄×C₁₃	—	2	2	no	—
311	C₂×D₄×C₁₃	—	2	2	no	—
312	C₂×D₄×C₁₃	—	2	2	no	—
313	C₂×D₄×C₁₃	—	2	1	no	—
314	C₂×D₄×C₁₃	—	2	2	no	—
315	C₂×D₄×C₁₃	—	2	1	no	—
316	C₂×D₄×C₁₃	—	2	1	no	—
317	C₂×D₄×C₁₃	—	2	2	no	—
318	C₂×D₄×C₁₃	—	2	1	no	—
319	C₂×D₄×C₁₃	—	2	1	no	—
320	C₂×D₄×C₁₃	—	2	2	no	—
321	C₂×D₄×C₁₃	—	2	2	no	—
322	C₂×D₄×C₁₃	—	2	2	no	—
323	C₂×D₄×C₁₃	—	4	2	no	—
324	C₂×D₄×C₁₃	—	4	1	no	—
325	C₂×D₄×C₁₃	—	4	1	no	—
326	C₂×D₄×C₁₃	—	4	2	no	—
327	C₂×D₄×C₁₃	—	8	4	no	—
328	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
330	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
331	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
332	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
333	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃	—	2	1	no	—
335	C₂²×C₄×C₁₃	—	2	2	no	—
336	C₂²×C₄×C₁₃	—	2	1	no	—
337	C₂²×C₄×C₁₃	—	2	1	no	—
338	C₂²×C₄×C₁₃	—	2	2	no	—
339	C₂²×C₄×C₁₃	—	2	1	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	2	2	no	—
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
349	C₁₃×Q₁₆	—	2	4	no	—
350	C₁₃×SD₁₆	—	2	4	no	—
351	C₁₃×SD₁₆	—	2	4	no	—
352	C₁₃×SD₁₆	—	4	2	no	—
353	C₁₃×SD₁₆	—	4	2	no	—
354	C₁₃×SD₁₆	—	4	2	no	—
355	C₁₃×D₈	—	4	2	no	—
356	C₁₃×D₈	—	4	2	no	—
357	C₁₃×D₈	—	4	2	no	—
358	C₁₃×D₈	—	4	2	no	—
359	C₁₃×D₈	—	4	2	no	—
360	C₁₃×D₈	—	4	2	no	—
361	C₁₃×M₁₆	—	4	2	no	—
362	C₁₃×M₁₆	—	4	1	no	—
363	C₁₃×M₁₆	—	4	1	no	—
364	C₂×C₈×C₁₃	—	4	2	no	—
365	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
366	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
367	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
368	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
369	C₁₃×C₄⋊C₄	—	2	1	no	—
370	C₁₃×C₄⋊C₄	—	2	2	no	—
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	1	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	1	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	1	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
380	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
381	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
382	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
383	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
384	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
386	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
387	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
388	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
389	C₁₃×C₂²⋊C₄	—	2	2	no	—
390	C₁₃×C₂²⋊C₄	—	2	1	no	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	2	no	—
393	C₁₃×C₂²⋊C₄	—	2	2	no	—
394	C₁₃×C₂²⋊C₄	—	2	2	no	—
395	C₁₃×C₂²⋊C₄	—	2	2	no	—
396	C₁₃×C₂²⋊C₄	—	2	2	no	—
397	C₁₃×C₂²⋊C₄	—	2	1	no	—
398	C₁₃×C₂²⋊C₄	—	2	1	no	—
399	C₁₃×C₂²⋊C₄	—	2	2	no	—
400	C₁₃×C₂²⋊C₄	—	2	2	no	—
401	C₁₃×C₂²⋊C₄	—	2	2	no	—
402	C₁₃×C₂²⋊C₄	—	2	2	no	—
403	C₁₃×C₂²⋊C₄	—	2	2	no	—
404	C₁₃×C₂²⋊C₄	—	2	2	no	—
405	C₁₃×C₂²⋊C₄	—	2	2	no	—
406	C₁₃×C₂²⋊C₄	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	2	no	—
408	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
413	C₄²×C₁₃	—	2	1	no	—
414	C₄²×C₁₃	—	2	1	no	—
415	C₄²×C₁₃	—	2	1	no	—
416	C₄²×C₁₃	—	2	2	no	—
417	C₄²×C₁₃	—	2	2	no	—
418	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
419	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
420	C₄²×C₁₃	C₂⁴	1	2	yes	—
421	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
423	#3558	C₂×C₁₃	1	1	yes	characteristic, complemented
424	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
425	#3399	C₂×C₁₃	1	2	yes	complemented
426	#3371	C₂×C₁₃	1	2	yes	complemented
427	#3326	C₂×C₁₃	1	2	yes	complemented
428	#3318	C₂×C₁₃	1	2	yes	complemented
429	#3306	C₂×C₁₃	1	2	yes	complemented
430	#3274	C₂×C₁₃	1	2	yes	complemented
431	#3271	C₂×C₁₃	1	2	yes	complemented
432	#3268	C₂×C₁₃	1	2	yes	complemented
433	#3257	C₂×C₁₃	1	2	yes	complemented
434	#3253	C₂×C₁₃	1	1	yes	characteristic, complemented
435	#3220	C₂×C₁₃	1	2	yes	complemented
436	#3213	C₂×C₁₃	1	1	yes	characteristic, complemented
437	#3125	C₂×C₁₃	1	2	yes	complemented
438	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
439	#3045	C₂×C₁₃	1	2	yes	complemented
440	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#2995	C₂×C₁₃	1	1	yes	characteristic, complemented
442	C₂³×C₁₃	—	2	2	no	—
443	C₂³×C₁₃	—	2	1	no	—
444	C₂³×C₁₃	—	2	2	no	—
445	C₂³×C₁₃	—	2	2	no	—
446	C₂³×C₁₃	—	4	2	no	—
447	C₂³×C₁₃	—	8	1	no	—
448	C₂³×C₁₃	—	8	2	no	—
449	C₂³×C₁₃	—	8	2	no	—
450	C₂³×C₁₃	—	8	1	no	—
451	C₂³×C₁₃	—	8	2	no	—
452	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
453	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
454	Q₈×C₁₃	—	2	1	no	—
455	Q₈×C₁₃	—	2	2	no	—
456	Q₈×C₁₃	—	2	2	no	—
457	Q₈×C₁₃	—	4	1	no	—
458	Q₈×C₁₃	—	4	2	no	—
459	Q₈×C₁₃	—	8	1	no	—
460	Q₈×C₁₃	—	8	1	no	—
461	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
462	D₄×C₁₃	—	2	2	no	—
463	D₄×C₁₃	—	2	2	no	—
464	D₄×C₁₃	—	2	2	no	—
465	D₄×C₁₃	—	2	1	no	—
466	D₄×C₁₃	—	2	1	no	—
467	D₄×C₁₃	—	2	2	no	—
468	D₄×C₁₃	—	2	2	no	—
469	D₄×C₁₃	—	2	2	no	—
470	D₄×C₁₃	—	4	2	no	—
471	D₄×C₁₃	—	4	1	no	—
472	D₄×C₁₃	—	4	2	no	—
473	D₄×C₁₃	—	4	4	no	—
474	D₄×C₁₃	—	4	2	no	—
475	D₄×C₁₃	—	4	4	no	—
476	D₄×C₁₃	—	8	1	no	—
477	D₄×C₁₃	—	8	1	no	—
478	D₄×C₁₃	—	8	2	no	—
479	D₄×C₁₃	—	8	2	no	—
480	D₄×C₁₃	—	8	2	no	—
481	D₄×C₁₃	—	8	1	no	—
482	D₄×C₁₃	—	8	2	no	—
483	D₄×C₁₃	—	8	1	no	—
484	D₄×C₁₃	—	8	2	no	—
485	D₄×C₁₃	—	8	2	no	—
486	D₄×C₁₃	—	8	2	no	—
487	D₄×C₁₃	—	8	2	no	—
488	D₄×C₁₃	—	8	2	no	—
489	D₄×C₁₃	—	8	2	no	—
490	C₂×C₄×C₁₃	—	2	1	no	—
491	C₂×C₄×C₁₃	—	2	2	no	—
492	C₂×C₄×C₁₃	—	2	1	no	—
493	C₂×C₄×C₁₃	—	2	1	no	—
494	C₂×C₄×C₁₃	—	2	2	no	—
495	C₂×C₄×C₁₃	—	2	1	no	—
496	C₂×C₄×C₁₃	—	2	1	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	—	4	1	no	—
501	C₂×C₄×C₁₃	—	4	1	no	—
502	C₂×C₄×C₁₃	—	4	4	no	—
503	C₂×C₄×C₁₃	—	4	2	no	—
504	C₂×C₄×C₁₃	—	4	2	no	—
505	C₂×C₄×C₁₃	—	8	1	no	—
506	C₂×C₄×C₁₃	—	8	2	no	—
507	C₂×C₄×C₁₃	—	8	2	no	—
508	C₂×C₄×C₁₃	—	8	2	no	—
509	C₂×C₄×C₁₃	—	8	2	no	—
510	C₂×C₄×C₁₃	—	8	2	no	—
511	C₂×C₄×C₁₃	—	8	1	no	—
512	C₂×C₄×C₁₃	—	8	2	no	—
513	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
514	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
518	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
520	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
521	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
522	C₈×C₁₃	—	2	2	no	—
523	C₈×C₁₃	—	2	2	no	—
524	C₈×C₁₃	—	2	2	no	—
525	C₈×C₁₃	—	2	2	no	—
526	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
527	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
528	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
529	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
530	#562	—	2	1	no	—
531	H(3,𝔽₄)	—	2	1	no	—
532	#559	C₂²×C₁₃	1	2	yes	—
533	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
534	#553	—	2	2	no	—
535	#553	C₂²×C₁₃	1	2	yes	complemented
536	#550	—	2	1	no	—
537	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
538	#550	C₂²×C₁₃	1	2	yes	complemented
539	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
540	#548	C₂²×C₁₃	1	2	yes	—
541	#547	—	2	1	no	—
542	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
543	#546	—	2	2	no	—
544	#546	C₂²×C₁₃	1	2	yes	—
545	D₄²	C₂²×C₁₃	1	2	yes	—
546	#542	C₂²×C₁₃	1	2	yes	—
547	#540	—	2	2	no	—
548	#540	C₂²×C₁₃	1	2	yes	complemented
549	#538	—	2	2	no	—
550	#538	—	2	1	no	—
551	#535	C₂²×C₁₃	1	2	yes	—
552	#534	—	2	1	no	—
553	#532	—	2	1	no	—
554	#532	C₂²×C₁₃	1	1	yes	characteristic
555	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
556	#529	—	2	1	no	—
557	#529	C₂²×C₁₃	1	1	yes	characteristic
558	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
559	#520	C₂²×C₁₃	1	2	yes	complemented
560	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
561	#496	C₂²×C₁₃	1	2	yes	complemented
562	#496	C₂²×C₁₃	1	2	yes	complemented
563	#493	C₂²×C₁₃	1	2	yes	—
564	#490	C₂²×C₁₃	1	2	yes	—
565	#489	C₂²×C₁₃	1	2	yes	complemented
566	#488	C₂²×C₁₃	1	2	yes	complemented
567	#483	C₂²×C₁₃	1	2	yes	complemented
568	#482	C₂²×C₁₃	1	2	yes	complemented
569	#481	C₂²×C₁₃	1	2	yes	—
570	#479	C₂²×C₁₃	1	2	yes	complemented
571	#478	C₂²×C₁₃	1	2	yes	complemented
572	#476	C₂²×C₁₃	1	2	yes	complemented
573	#476	C₂²×C₁₃	1	2	yes	complemented
574	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	#469	C₂²×C₁₃	1	2	yes	—
577	#469	C₂²×C₁₃	1	2	yes	complemented
578	#469	C₂²×C₁₃	1	2	yes	complemented
579	#468	C₂²×C₁₃	1	2	yes	complemented
580	#466	C₂²×C₁₃	1	2	yes	—
581	#465	C₂²×C₁₃	1	2	yes	complemented
582	#464	C₂²×C₁₃	1	2	yes	complemented
583	#464	C₂²×C₁₃	1	2	yes	complemented
584	#464	C₂²×C₁₃	1	2	yes	complemented
585	#463	C₂²×C₁₃	1	2	yes	complemented
586	#463	C₂²×C₁₃	1	2	yes	complemented
587	#463	C₂²×C₁₃	1	2	yes	complemented
588	#463	C₂²×C₁₃	1	2	yes	complemented
589	#463	C₂²×C₁₃	1	2	yes	complemented
590	#460	C₂²×C₁₃	1	2	yes	—
591	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#460	C₂²×C₁₃	1	2	yes	complemented
593	#459	C₂²×C₁₃	1	2	yes	—
594	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#459	C₂²×C₁₃	1	2	yes	complemented
596	#459	C₂²×C₁₃	1	2	yes	complemented
597	#459	C₂²×C₁₃	1	2	yes	complemented
598	#452	C₂²×C₁₃	1	2	yes	complemented
599	#449	C₂²×C₁₃	1	2	yes	—
600	#449	C₂²×C₁₃	1	2	yes	complemented
601	#449	C₂²×C₁₃	1	2	yes	complemented
602	#449	C₂²×C₁₃	1	2	yes	complemented
603	#448	C₂²×C₁₃	1	2	yes	complemented
604	#447	C₂²×C₁₃	1	2	yes	—
605	#447	C₂²×C₁₃	1	2	yes	complemented
606	#447	C₂²×C₁₃	1	2	yes	complemented
607	#446	C₂²×C₁₃	1	2	yes	complemented
608	#442	C₂²×C₁₃	1	2	yes	complemented
609	#442	C₂²×C₁₃	1	2	yes	complemented
610	#441	C₂²×C₁₃	1	2	yes	complemented
611	#440	C₂²×C₁₃	1	2	yes	complemented
612	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
613	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
614	#436	C₂²×C₁₃	1	2	yes	complemented
615	#435	C₂²×C₁₃	1	2	yes	complemented
616	#435	C₂²×C₁₃	1	2	yes	complemented
617	#433	C₂²×C₁₃	1	2	yes	complemented
618	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#424	C₂²×C₁₃	1	2	yes	complemented
620	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#418	C₂²×C₁₃	1	1	yes	characteristic
623	#417	C₂²×C₁₃	1	2	yes	complemented
624	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
625	C₂²×C₁₃	—	2	1	no	—
626	C₂²×C₁₃	—	2	1	no	—
627	C₂²×C₁₃	—	2	2	no	—
628	C₂²×C₁₃	—	2	2	no	—
629	C₂²×C₁₃	—	2	1	no	—
630	C₂²×C₁₃	—	2	2	no	—
631	C₂²×C₁₃	—	4	1	no	—
632	C₂²×C₁₃	—	4	2	no	—
633	C₂²×C₁₃	—	4	2	no	—
634	C₂²×C₁₃	—	4	1	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	1	no	—
641	C₂²×C₁₃	—	4	2	no	—
642	C₂²×C₁₃	—	4	2	no	—
643	C₂²×C₁₃	—	16	2	no	—
644	C₂²×C₁₃	—	16	4	no	—
645	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
646	C₄×C₁₃	—	2	1	no	—
647	C₄×C₁₃	—	2	1	no	—
648	C₄×C₁₃	—	2	1	no	—
649	C₄×C₁₃	—	2	1	no	—
650	C₄×C₁₃	—	2	2	no	—
651	C₄×C₁₃	—	2	2	no	—
652	C₄×C₁₃	—	2	2	no	—
653	C₄×C₁₃	—	2	1	no	—
654	C₄×C₁₃	—	2	2	no	—
655	C₄×C₁₃	—	4	1	no	—
656	C₄×C₁₃	—	4	2	no	—
657	C₄×C₁₃	—	4	2	no	—
658	C₄×C₁₃	—	4	1	no	—
659	C₄×C₁₃	—	4	2	no	—
660	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
661	C₄×C₁₃	#585	1	1	yes	characteristic
662	C₂×#41	—	2	1	no	—
663	C₂×#41	—	2	1	no	—
664	C₂×#41	—	2	1	no	—
665	C₂×#41	—	2	1	no	—
666	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
667	C₂×#41	C₂³×C₁₃	1	2	yes	—
668	C₂×#41	C₂³×C₁₃	1	2	yes	—
669	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
670	C₂²×D₄	—	2	2	no	—
671	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
672	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
673	#137	—	4	2	no	—
674	AGL(1,ℤ/8)	—	4	2	no	—
675	AGL(1,ℤ/8)	—	4	4	no	—
676	#135	—	4	4	no	—
677	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
678	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
679	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
680	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
681	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
682	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
683	C₂×D₈	C₂³×C₁₃	1	2	yes	—
684	C₂×D₈	C₂³×C₁₃	1	2	yes	—
685	C₂×D₈	C₂³×C₁₃	1	2	yes	—
686	C₂×D₈	C₂³×C₁₃	1	2	yes	—
687	C₂×D₈	C₂³×C₁₃	1	2	yes	—
688	C₂×D₈	C₂³×C₁₃	1	2	yes	—
689	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
690	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
691	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
692	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
693	C₄⋊Q₈	—	2	1	no	—
694	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
695	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
696	#127	—	2	1	no	—
697	#127	—	2	2	no	—
698	#127	C₂³×C₁₃	1	1	yes	characteristic
699	#127	C₂³×C₁₃	1	1	yes	characteristic
700	#127	C₂³×C₁₃	1	2	yes	—
701	#127	C₂³×C₁₃	1	2	yes	—
702	#126	—	2	2	no	—
703	#126	—	2	2	no	—
704	#126	D₄×C₁₃	1	2	yes	—
705	#125	—	2	2	no	—
706	#125	D₄×C₁₃	1	1	yes	characteristic
707	#125	C₂³×C₁₃	1	2	yes	—
708	#124	—	2	2	no	—
709	#124	—	2	2	no	—
710	#124	—	2	2	no	—
711	#124	—	2	1	no	—
712	#124	—	2	1	no	—
713	#124	—	2	1	no	—
714	#124	—	2	1	no	—
715	#124	D₄×C₁₃	1	1	yes	characteristic
716	#124	C₂³×C₁₃	1	2	yes	—
717	#124	C₂³×C₁₃	1	2	yes	—
718	#124	C₂³×C₁₃	1	2	yes	—
719	#123	—	2	2	no	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	—	2	2	no	—
723	#123	—	2	2	no	—
724	#123	—	2	2	no	—
725	#123	—	2	2	no	—
726	#123	—	2	2	no	—
727	#123	D₄×C₁₃	1	2	yes	—
728	C₂²⋊Q₈	—	2	1	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
732	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
733	#121	—	2	2	no	—
734	#121	—	2	2	no	—
735	#121	—	2	1	no	—
736	#121	—	2	1	no	—
737	#121	—	2	1	no	—
738	#121	—	2	2	no	—
739	#121	—	2	2	no	—
740	#121	—	2	2	no	—
741	#121	—	2	2	no	—
742	#121	—	2	2	no	—
743	#121	—	2	2	no	—
744	#121	—	2	2	no	—
745	#121	—	2	2	no	—
746	#121	—	2	2	no	—
747	#121	—	2	2	no	—
748	#121	D₄×C₁₃	1	1	yes	characteristic
749	#121	C₂³×C₁₃	1	2	yes	—
750	#121	C₂³×C₁₃	1	2	yes	—
751	#121	C₂³×C₁₃	1	2	yes	—
752	#121	C₂³×C₁₃	1	2	yes	—
753	#121	C₂³×C₁₃	1	2	yes	—
754	#120	—	2	2	no	—
755	#120	—	2	2	no	—
756	#120	—	2	2	no	—
757	#120	—	2	2	no	—
758	#120	—	2	2	no	—
759	C₄×Q₈	—	2	1	no	—
760	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
761	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
762	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
763	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
764	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	1	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	2	no	—
769	C₄×D₄	—	2	2	no	—
770	C₄×D₄	—	2	2	no	—
771	C₄×D₄	—	2	2	no	—
772	C₄×D₄	—	2	2	no	—
773	C₄×D₄	—	2	2	no	—
774	C₄×D₄	—	2	1	no	—
775	C₄×D₄	—	2	1	no	—
776	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
778	C₄×D₄	C₂³×C₁₃	1	2	yes	—
779	C₄×D₄	C₂³×C₁₃	1	2	yes	—
780	C₄×D₄	C₂³×C₁₃	1	2	yes	—
781	C₄×D₄	C₂³×C₁₃	1	2	yes	—
782	C₄×D₄	C₂³×C₁₃	1	2	yes	—
783	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
784	#117	—	2	2	no	—
785	#117	—	2	1	no	—
786	#117	C₂³×C₁₃	1	1	yes	characteristic
787	#117	C₂³×C₁₃	1	2	yes	—
788	C₂×C₄⋊C₄	—	2	2	no	—
789	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
790	C₂×C₂²⋊C₄	—	2	1	no	—
791	C₂×C₂²⋊C₄	—	2	1	no	—
792	C₂×C₂²⋊C₄	—	2	2	no	—
793	C₂×C₄²	—	2	1	no	—
794	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
795	#107	C₂³×C₁₃	1	2	yes	—
796	#106	C₂³×C₁₃	1	2	yes	—
797	#106	C₂³×C₁₃	1	2	yes	—
798	#106	C₂³×C₁₃	1	2	yes	—
799	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
800	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
801	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
803	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
804	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
805	#103	C₂³×C₁₃	1	2	yes	—
806	#103	C₂³×C₁₃	1	2	yes	—
807	#103	C₂³×C₁₃	1	2	yes	—
808	#103	C₂³×C₁₃	1	2	yes	—
809	#103	C₂³×C₁₃	1	2	yes	—
810	#102	C₂³×C₁₃	1	2	yes	—
811	#102	C₂³×C₁₃	1	2	yes	—
812	#102	C₂³×C₁₃	1	2	yes	—
813	#102	C₂³×C₁₃	1	2	yes	—
814	#102	C₂³×C₁₃	1	2	yes	—
815	#102	C₂³×C₁₃	1	2	yes	—
816	#102	C₂³×C₁₃	1	2	yes	—
817	#102	C₂³×C₁₃	1	2	yes	—
818	#102	C₂³×C₁₃	1	2	yes	—
819	#102	C₂³×C₁₃	1	2	yes	—
820	#102	C₂³×C₁₃	1	2	yes	—
821	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
822	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
823	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
824	#97	C₂³×C₁₃	1	2	yes	—
825	#97	C₂³×C₁₃	1	2	yes	—
826	C₄×C₈	C₂³×C₁₃	1	2	yes	—
827	C₂×C₁₃	—	4	1	no	—
828	C₂×C₁₃	—	4	2	no	—
829	C₂×C₁₃	—	8	1	no	—
830	C₂×C₁₃	—	8	2	no	—
831	C₂×C₁₃	—	8	2	no	—
832	C₂×C₁₃	—	8	2	no	—
833	C₂×C₁₃	#3488	1	1	yes	characteristic
834	C₂×C₁₃	#3585	1	1	yes	characteristic
835	C₂×C₁₃	#3585	1	1	yes	characteristic
836	C₂⁴	—	2	1	no	—
837	C₂⁴	—	2	2	no	—
838	#41	—	2	4	no	—
839	#41	—	2	2	no	—
840	#41	—	4	1	no	—
841	#41	—	4	2	no	—
842	#41	—	4	2	no	—
843	#41	—	4	2	no	—
844	#41	—	8	2	no	—
845	#41	—	8	2	no	—
846	#41	—	8	2	no	—
847	#41	—	8	2	no	—
848	C₂×Q₈	—	2	1	no	—
849	C₂×Q₈	—	2	1	no	—
850	C₂×Q₈	—	2	1	no	—
851	C₂×Q₈	—	4	1	no	—
852	C₂×Q₈	—	4	1	no	—
853	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
854	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
855	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	1	no	—
858	C₂×D₄	—	2	2	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	2	no	—
861	C₂×D₄	—	2	2	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	2	no	—
864	C₂×D₄	—	2	1	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	1	no	—
867	C₂×D₄	—	2	1	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	4	2	no	—
875	C₂×D₄	—	4	1	no	—
876	C₂×D₄	—	4	1	no	—
877	C₂×D₄	—	4	2	no	—
878	C₂×D₄	—	8	4	no	—
879	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
880	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
881	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
882	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
883	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
884	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	1	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	2	no	—
892	C₂²×C₄	—	2	2	no	—
893	C₂²×C₄	—	2	2	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
897	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
898	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
900	Q₁₆	—	2	4	no	—
901	SD₁₆	—	2	4	no	—
902	SD₁₆	—	2	4	no	—
903	SD₁₆	—	4	2	no	—
904	SD₁₆	—	4	2	no	—
905	SD₁₆	—	4	2	no	—
906	D₈	—	4	2	no	—
907	D₈	—	4	2	no	—
908	D₈	—	4	2	no	—
909	D₈	—	4	2	no	—
910	D₈	—	4	2	no	—
911	D₈	—	4	2	no	—
912	M₁₆	—	4	2	no	—
913	M₁₆	—	4	1	no	—
914	M₁₆	—	4	1	no	—
915	C₂×C₈	—	4	2	no	—
916	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
917	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
918	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
919	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
920	C₄⋊C₄	—	2	1	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	1	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	2	no	—
929	C₄⋊C₄	—	2	2	no	—
930	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
931	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
932	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
933	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
934	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
935	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
936	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
938	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
939	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
940	C₂²⋊C₄	—	2	2	no	—
941	C₂²⋊C₄	—	2	1	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	2	no	—
944	C₂²⋊C₄	—	2	2	no	—
945	C₂²⋊C₄	—	2	2	no	—
946	C₂²⋊C₄	—	2	2	no	—
947	C₂²⋊C₄	—	2	2	no	—
948	C₂²⋊C₄	—	2	1	no	—
949	C₂²⋊C₄	—	2	1	no	—
950	C₂²⋊C₄	—	2	2	no	—
951	C₂²⋊C₄	—	2	2	no	—
952	C₂²⋊C₄	—	2	2	no	—
953	C₂²⋊C₄	—	2	2	no	—
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
960	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
961	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
962	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
963	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
964	C₄²	—	2	1	no	—
965	C₄²	—	2	1	no	—
966	C₄²	—	2	1	no	—
967	C₄²	—	2	2	no	—
968	C₄²	—	2	2	no	—
969	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
970	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
971	C₄²	C₂⁴×C₁₃	1	2	yes	—
972	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₁₃	#62093	1	1	yes	characteristic, direct product factor, Sylow
975	C₂³	—	2	2	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	2	no	—
978	C₂³	—	2	2	no	—
979	C₂³	—	4	2	no	—
980	C₂³	—	8	1	no	—
981	C₂³	—	8	2	no	—
982	C₂³	—	8	2	no	—
983	C₂³	—	8	1	no	—
984	C₂³	—	8	2	no	—
985	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
986	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
987	Q₈	—	2	1	no	—
988	Q₈	—	2	2	no	—
989	Q₈	—	2	2	no	—
990	Q₈	—	4	1	no	—
991	Q₈	—	4	2	no	—
992	Q₈	—	8	1	no	—
993	Q₈	—	8	1	no	—
994	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
995	D₄	—	2	2	no	—
996	D₄	—	2	2	no	—
997	D₄	—	2	2	no	—
998	D₄	—	2	1	no	—
999	D₄	—	2	1	no	—
1000	D₄	—	2	2	no	—
1001	D₄	—	2	2	no	—
1002	D₄	—	2	2	no	—
1003	D₄	—	4	2	no	—
1004	D₄	—	4	1	no	—
1005	D₄	—	4	2	no	—
1006	D₄	—	4	4	no	—
1007	D₄	—	4	2	no	—
1008	D₄	—	4	4	no	—
1009	D₄	—	8	2	no	—
1010	D₄	—	8	1	no	—
1011	D₄	—	8	2	no	—
1012	D₄	—	8	1	no	—
1013	D₄	—	8	1	no	—
1014	D₄	—	8	2	no	—
1015	D₄	—	8	2	no	—
1016	D₄	—	8	1	no	—
1017	D₄	—	8	2	no	—
1018	D₄	—	8	2	no	—
1019	D₄	—	8	2	no	—
1020	D₄	—	8	2	no	—
1021	D₄	—	8	2	no	—
1022	D₄	—	8	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	4	1	no	—
1034	C₂×C₄	—	4	1	no	—
1035	C₂×C₄	—	4	4	no	—
1036	C₂×C₄	—	4	2	no	—
1037	C₂×C₄	—	4	2	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	1	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	2	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	—	8	1	no	—
1045	C₂×C₄	—	8	2	no	—
1046	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1047	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1048	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1049	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1050	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1051	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1052	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1053	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1054	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1055	C₈	—	2	2	no	—
1056	C₈	—	2	2	no	—
1057	C₈	—	2	2	no	—
1058	C₈	—	2	2	no	—
1059	C₂²	—	2	1	no	—
1060	C₂²	—	2	1	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	2	1	no	—
1064	C₂²	—	2	2	no	—
1065	C₂²	—	4	1	no	—
1066	C₂²	—	4	2	no	—
1067	C₂²	—	4	2	no	—
1068	C₂²	—	4	1	no	—
1069	C₂²	—	4	2	no	—
1070	C₂²	—	4	2	no	—
1071	C₂²	—	4	2	no	—
1072	C₂²	—	4	2	no	—
1073	C₂²	—	4	2	no	—
1074	C₂²	—	4	1	no	—
1075	C₂²	—	4	2	no	—
1076	C₂²	—	4	2	no	—
1077	C₂²	—	16	2	no	—
1078	C₂²	—	16	4	no	—
1079	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1080	C₄	—	2	1	no	—
1081	C₄	—	2	1	no	—
1082	C₄	—	2	1	no	—
1083	C₄	—	2	1	no	—
1084	C₄	—	2	2	no	—
1085	C₄	—	2	2	no	—
1086	C₄	—	2	2	no	—
1087	C₄	—	2	1	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	4	1	no	—
1090	C₄	—	4	2	no	—
1091	C₄	—	4	2	no	—
1092	C₄	—	4	1	no	—
1093	C₄	—	4	2	no	—
1094	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1095	C₄	C₁₃×#585	1	1	yes	characteristic
1096	C₂	—	4	1	no	—
1097	C₂	—	4	2	no	—
1098	C₂	—	8	2	no	—
1099	C₂	—	8	2	no	—
1100	C₂	—	8	1	no	—
1101	C₂	—	8	2	no	—
1102	C₂	C₁₃×#3488	1	1	yes	characteristic
1103	C₂	C₁₃×#3585	1	1	yes	characteristic
1104	C₂	C₁₃×#3585	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 ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3558	C₂	semidirect
2. C₁₃×#3517	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3371	C₂	semidirect
5. C₁₃×#3326	C₂	semidirect
6. C₁₃×#3318	C₂	semidirect
7. C₁₃×#3306	C₂	semidirect
8. C₁₃×#3274	C₂	semidirect
9. C₁₃×#3271	C₂	semidirect
10. C₁₃×#3268	C₂	semidirect
11. C₁₃×#3257	C₂	semidirect
12. C₁₃×#3253	C₂	semidirect
13. C₁₃×#3220	C₂	semidirect
14. C₁₃×#3213	C₂	semidirect
15. C₁₃×#3125	C₂	semidirect
16. C₁₃×#3115	C₂	semidirect
17. C₁₃×#3045	C₂	semidirect
18. C₁₃×#3040	C₂	semidirect
19. C₁₃×#2995	C₂	semidirect
20. C₂×C₁₃×#137	C₂²	semidirect
22. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
23. C₂×C₁₃×#135	C₂²	semidirect
27. C₁₃×#557	C₂²	semidirect
29. C₁₃×#553	C₂²	semidirect
31. C₁₃×#550	C₂²	semidirect
32. C₁₃×#550	C₂²	semidirect
33. C₁₃×#550	C₂²	semidirect
36. C₁₃×#547	C₂²	semidirect
42. C₁₃×#540	C₂²	semidirect
49. C₁₃×#532	C₂²	semidirect
53. C₁₃×#520	C₂²	semidirect
54. C₄×C₁₃×#41	C₂²	semidirect
55. C₁₃×#496	C₂²	semidirect
56. C₁₃×#496	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
60. C₁₃×#488	C₂²	semidirect
61. C₁₃×#483	C₂²	semidirect
62. C₁₃×#482	C₂²	semidirect
64. C₁₃×#479	C₂²	semidirect
65. C₁₃×#478	C₂²	semidirect
66. C₁₃×#476	C₂²	semidirect
67. C₁₃×#476	C₂²	semidirect
68. C₁₃×#475	C₂²	semidirect
69. C₁₃×#474	C₂²	semidirect
71. C₁₃×#469	C₂²	semidirect
72. C₁₃×#469	C₂²	semidirect
73. C₁₃×#468	C₂²	semidirect
75. C₁₃×#465	C₂²	semidirect
76. C₁₃×#464	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#463	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#463	C₂²	semidirect
82. C₁₃×#463	C₂²	semidirect
83. C₁₃×#463	C₂²	semidirect
85. C₁₃×#460	C₂²	semidirect
86. C₁₃×#460	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
89. C₁₃×#459	C₂²	semidirect
90. C₁₃×#459	C₂²	semidirect
91. C₁₃×#459	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
94. C₁₃×#449	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
97. C₁₃×#448	C₂²	semidirect
99. C₁₃×#447	C₂²	semidirect
100. C₁₃×#447	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#442	C₂²	semidirect
103. C₁₃×#442	C₂²	semidirect
104. C₁₃×#441	C₂²	semidirect
105. C₁₃×#440	C₂²	semidirect
106. C₄×C₁₃×SD₁₆	C₂²	semidirect
107. C₄×C₁₃×SD₁₆	C₂²	semidirect
108. C₁₃×#436	C₂²	semidirect
109. C₁₃×#435	C₂²	semidirect
110. C₁₃×#435	C₂²	semidirect
111. C₁₃×#433	C₂²	semidirect
112. C₁₃×#432	C₂²	semidirect
113. C₁₃×#424	C₂²	semidirect
114. C₁₃×#423	C₂²	semidirect
115. C₁₃×#419	C₂²	semidirect
117. C₁₃×#417	C₂²	semidirect
118. C₂×C₁₃×#102	C₂²	semidirect
284. #62093	C₁₃	direct (N × H)
423. #3558	C₂×C₁₃	semidirect
424. #3517	C₂×C₁₃	semidirect
425. #3399	C₂×C₁₃	semidirect
426. #3371	C₂×C₁₃	semidirect
427. #3326	C₂×C₁₃	semidirect
428. #3318	C₂×C₁₃	semidirect
429. #3306	C₂×C₁₃	semidirect
430. #3274	C₂×C₁₃	semidirect
431. #3271	C₂×C₁₃	semidirect
432. #3268	C₂×C₁₃	semidirect
433. #3257	C₂×C₁₃	semidirect
434. #3253	C₂×C₁₃	semidirect
435. #3220	C₂×C₁₃	semidirect
436. #3213	C₂×C₁₃	semidirect
437. #3125	C₂×C₁₃	semidirect
438. #3115	C₂×C₁₃	semidirect
439. #3045	C₂×C₁₃	semidirect
440. #3040	C₂×C₁₃	semidirect
441. #2995	C₂×C₁₃	semidirect
526. C₂×#137	C₂²×C₁₃	semidirect
528. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
529. C₂×#135	C₂²×C₁₃	semidirect
533. #557	C₂²×C₁₃	semidirect
535. #553	C₂²×C₁₃	semidirect
537. #550	C₂²×C₁₃	semidirect
538. #550	C₂²×C₁₃	semidirect
539. #550	C₂²×C₁₃	semidirect
542. #547	C₂²×C₁₃	semidirect
548. #540	C₂²×C₁₃	semidirect
555. #532	C₂²×C₁₃	semidirect
559. #520	C₂²×C₁₃	semidirect
560. C₄×#41	C₂²×C₁₃	semidirect
561. #496	C₂²×C₁₃	semidirect
562. #496	C₂²×C₁₃	semidirect
565. #489	C₂²×C₁₃	semidirect
566. #488	C₂²×C₁₃	semidirect
567. #483	C₂²×C₁₃	semidirect
568. #482	C₂²×C₁₃	semidirect
570. #479	C₂²×C₁₃	semidirect
571. #478	C₂²×C₁₃	semidirect
572. #476	C₂²×C₁₃	semidirect
573. #476	C₂²×C₁₃	semidirect
574. #475	C₂²×C₁₃	semidirect
575. #474	C₂²×C₁₃	semidirect
577. #469	C₂²×C₁₃	semidirect
578. #469	C₂²×C₁₃	semidirect
579. #468	C₂²×C₁₃	semidirect
581. #465	C₂²×C₁₃	semidirect
582. #464	C₂²×C₁₃	semidirect
583. #464	C₂²×C₁₃	semidirect
584. #464	C₂²×C₁₃	semidirect
585. #463	C₂²×C₁₃	semidirect
586. #463	C₂²×C₁₃	semidirect
587. #463	C₂²×C₁₃	semidirect
588. #463	C₂²×C₁₃	semidirect
589. #463	C₂²×C₁₃	semidirect
591. #460	C₂²×C₁₃	semidirect
592. #460	C₂²×C₁₃	semidirect
594. #459	C₂²×C₁₃	semidirect
595. #459	C₂²×C₁₃	semidirect
596. #459	C₂²×C₁₃	semidirect
597. #459	C₂²×C₁₃	semidirect
598. #452	C₂²×C₁₃	semidirect
600. #449	C₂²×C₁₃	semidirect
601. #449	C₂²×C₁₃	semidirect
602. #449	C₂²×C₁₃	semidirect
603. #448	C₂²×C₁₃	semidirect
605. #447	C₂²×C₁₃	semidirect
606. #447	C₂²×C₁₃	semidirect
607. #446	C₂²×C₁₃	semidirect
608. #442	C₂²×C₁₃	semidirect
609. #442	C₂²×C₁₃	semidirect
610. #441	C₂²×C₁₃	semidirect
611. #440	C₂²×C₁₃	semidirect
612. C₄×SD₁₆	C₂²×C₁₃	semidirect
613. C₄×SD₁₆	C₂²×C₁₃	semidirect
614. #436	C₂²×C₁₃	semidirect
615. #435	C₂²×C₁₃	semidirect
616. #435	C₂²×C₁₃	semidirect
617. #433	C₂²×C₁₃	semidirect
618. #432	C₂²×C₁₃	semidirect
619. #424	C₂²×C₁₃	semidirect
620. #423	C₂²×C₁₃	semidirect
621. #419	C₂²×C₁₃	semidirect
623. #417	C₂²×C₁₃	semidirect
624. C₂×#102	C₂²×C₁₃	semidirect
974. C₁₃	#62093	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×#3558	2
C₁₃×#3517	2
C₁₃×#3399	2
C₁₃×#3371	2
C₁₃×#3326	2
C₁₃×#3318	2
C₁₃×#3306	2
C₁₃×#3274	2
C₁₃×#3271	2
C₁₃×#3268	2
C₁₃×#3257	2
C₁₃×#3253	2
C₁₃×#3220	2
C₁₃×#3213	2
C₁₃×#3125	2
C₁₃×#3115	2
C₁₃×#3045	2
C₁₃×#3040	2
C₁₃×#2995	2
#62093	13

Subgroups — C13×#62093 #15748432

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62093 #15748432