Subgroups — C₁₃×#61495 #15747834

Order 3328.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3387	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3354	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3350	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3304	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3167	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3126	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2947	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
26	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#557	C₂²	1	1	yes	characteristic
28	C₁₃×#556	—	2	2	no	—
29	C₁₃×#556	—	2	1	no	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	2	yes	—
32	C₁₃×#555	—	2	1	no	—
33	C₁₃×#555	C₂²	1	1	yes	characteristic
34	C₁₃×#553	—	2	2	no	—
35	C₁₃×#553	C₂²	1	2	yes	—
36	C₁₃×#550	—	2	1	no	—
37	C₁₃×#550	C₂²	1	2	yes	—
38	C₁₃×#550	C₂²	1	1	yes	characteristic
39	C₁₃×#550	C₂²	1	1	yes	characteristic
40	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#547	—	2	1	no	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	2	no	—
45	C₁₃×#542	C₂²	1	2	yes	—
46	C₁₃×#540	—	2	2	no	—
47	C₁₃×#540	C₂²	1	2	yes	—
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#532	—	2	1	no	—
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	—	2	1	no	—
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	2	yes	—
56	C₁₃×#519	C₂²	1	2	yes	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₁₃×#501	C₂²	1	2	yes	—
60	C₁₃×#498	C₂²	1	1	yes	characteristic
61	C₁₃×#496	C₂²	1	2	yes	—
62	C₁₃×#492	C₂²	1	1	yes	characteristic
63	C₁₃×#488	C₂²	1	2	yes	—
64	C₁₃×#487	C₂²	1	1	yes	characteristic
65	C₁₃×#486	C₂²	1	2	yes	—
66	C₁₃×#486	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#483	C₂²	1	2	yes	—
69	C₁₃×#482	C₂²	1	2	yes	—
70	C₁₃×#482	C₂²	1	2	yes	—
71	C₁₃×#482	C₂²	1	2	yes	—
72	C₁₃×#481	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	2	yes	—
75	C₁₃×#477	C₂²	1	1	yes	characteristic
76	C₁₃×#476	C₂²	1	2	yes	—
77	C₁₃×#476	C₂²	1	1	yes	characteristic
78	C₁₃×#475	C₂²	1	1	yes	characteristic
79	C₁₃×#475	C₂²	1	2	yes	—
80	C₁₃×#474	C₂²	1	1	yes	characteristic
81	C₁₃×#469	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	—
83	C₁₃×#466	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#465	C₂²	1	2	yes	—
86	C₁₃×#465	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#462	C₂²	1	1	yes	characteristic
90	C₁₃×#461	C₂²	1	1	yes	characteristic
91	C₁₃×#460	C₂²	1	2	yes	—
92	C₁₃×#460	C₂²	1	1	yes	characteristic
93	C₁₃×#460	C₂²	1	2	yes	—
94	C₁₃×#459	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#452	C₂²	1	2	yes	—
97	C₁₃×#449	C₂²	1	2	yes	—
98	C₁₃×#449	C₂²	1	2	yes	—
99	C₁₃×#448	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
103	C₁₃×#442	C₂²	1	2	yes	—
104	C₁₃×#441	C₂²	1	2	yes	—
105	C₁₃×#441	C₂²	1	2	yes	—
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₁₃×#440	C₂²	1	2	yes	—
108	C₁₃×#440	C₂²	1	2	yes	—
109	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
111	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
114	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#435	C₂²	1	2	yes	—
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₁₃	C₂²	1	2	yes	—
125	C₁₃×#433	C₂²	1	2	yes	—
126	C₁₃×#432	C₂²	1	1	yes	characteristic
127	C₁₃×#428	C₂²	1	2	yes	—
128	C₁₃×#427	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₁₃×#416	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	2	yes	—
132	C₂×C₁₃×#103	C₂²	1	2	yes	—
133	C₁₃×#405	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
142	C₁₃×#137	—	2	8	no	—
143	C₁₃×#135	—	2	4	no	—
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
157	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	2	no	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×#127	—	2	1	no	—
167	C₁₃×#127	—	2	2	no	—
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#127	C₂³	1	2	yes	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	D₄	1	2	yes	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	D₄	1	1	yes	characteristic
179	C₁₃×#125	C₂³	1	2	yes	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	D₄	1	1	yes	characteristic
186	C₁₃×#124	C₂³	1	2	yes	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	D₄	1	2	yes	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	D₄	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₁₃×#121	C₂³	1	2	yes	—
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	2	no	—
220	C₄×Q₈×C₁₃	—	2	2	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	2	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	C₂³	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	1	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	C₂³	1	1	yes	characteristic
262	C₁₃×#117	C₂³	1	1	yes	characteristic
263	C₁₃×#117	C₂³	1	2	yes	—
264	C₁₃×#117	C₂³	1	2	yes	—
265	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	1	yes	characteristic
275	C₁₃×#106	C₂³	1	1	yes	characteristic
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	2	yes	—
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61495	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₁₃×#41	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	1	no	—
320	C₁₃×#41	—	4	1	no	—
321	C₁₃×#41	—	8	2	no	—
322	C₁₃×#41	—	8	2	no	—
323	C₁₃×#41	—	8	2	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	—	2	4	no	—
329	C₂×Q₈×C₁₃	—	4	2	no	—
330	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
346	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
347	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
365	C₁₃×Q₁₆	—	2	4	no	—
366	C₁₃×Q₁₆	#41	1	4	yes	complemented
367	C₁₃×SD₁₆	—	2	2	no	—
368	C₁₃×SD₁₆	—	2	2	no	—
369	C₁₃×SD₁₆	—	2	4	no	—
370	C₁₃×SD₁₆	—	2	4	no	—
371	C₁₃×SD₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	4	2	no	—
373	C₁₃×D₈	—	2	2	no	—
374	C₁₃×D₈	—	4	2	no	—
375	C₁₃×M₁₆	—	2	4	no	—
376	C₂×C₈×C₁₃	—	2	2	no	—
377	C₂×C₈×C₁₃	—	4	2	no	—
378	C₂×C₈×C₁₃	—	4	1	no	—
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
383	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
436	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
437	C₄²×C₁₃	—	2	1	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₄²×C₁₃	C₂⁴	1	2	yes	—
453	#3518	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3387	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3362	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3354	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3350	C₂×C₁₃	1	2	yes	complemented
461	#3305	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3304	C₂×C₁₃	1	2	yes	complemented
463	#3301	C₂×C₁₃	1	2	yes	complemented
464	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3271	C₂×C₁₃	1	2	yes	complemented
467	#3179	C₂×C₁₃	1	2	yes	complemented
468	#3167	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3126	C₂×C₁₃	1	2	yes	complemented
470	#3125	C₂×C₁₃	1	2	yes	complemented
471	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#2947	C₂×C₁₃	1	2	yes	complemented
475	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	1	no	—
478	C₂³×C₁₃	—	2	2	no	—
479	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	4	4	no	—
487	Q₈×C₁₃	—	4	2	no	—
488	Q₈×C₁₃	—	8	1	no	—
489	Q₈×C₁₃	—	8	2	no	—
490	Q₈×C₁₃	C₂×#41	1	2	yes	—
491	Q₈×C₁₃	C₂×#41	1	2	yes	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	2	2	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	2	1	no	—
499	D₄×C₁₃	—	4	2	no	—
500	D₄×C₁₃	—	4	4	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	8	1	no	—
505	D₄×C₁₃	—	8	2	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	2	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	4	1	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	4	4	no	—
529	C₂×C₄×C₁₃	—	4	4	no	—
530	C₂×C₄×C₁₃	—	4	2	no	—
531	C₂×C₄×C₁₃	—	4	2	no	—
532	C₂×C₄×C₁₃	—	8	1	no	—
533	C₂×C₄×C₁₃	—	8	1	no	—
534	C₂×C₄×C₁₃	—	8	2	no	—
535	C₂×C₄×C₁₃	—	8	2	no	—
536	C₂×C₄×C₁₃	—	8	2	no	—
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
542	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
543	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	—	2	2	no	—
548	C₈×C₁₃	—	2	1	no	—
549	C₈×C₁₃	—	2	2	no	—
550	C₈×C₁₃	—	2	1	no	—
551	C₈×C₁₃	C₂×#41	1	2	yes	—
552	C₂×#137	C₂²×C₁₃	1	2	yes	—
553	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
554	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
555	#557	C₂²×C₁₃	1	1	yes	characteristic
556	#556	—	2	2	no	—
557	#556	—	2	1	no	—
558	#556	C₂²×C₁₃	1	1	yes	characteristic
559	#556	C₂²×C₁₃	1	2	yes	—
560	#555	—	2	1	no	—
561	#555	C₂²×C₁₃	1	1	yes	characteristic
562	#553	—	2	2	no	—
563	#553	C₂²×C₁₃	1	2	yes	—
564	#550	—	2	1	no	—
565	#550	C₂²×C₁₃	1	2	yes	—
566	#550	C₂²×C₁₃	1	1	yes	characteristic
567	#550	C₂²×C₁₃	1	1	yes	characteristic
568	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
569	#548	C₂²×C₁₃	1	2	yes	—
570	#547	—	2	1	no	—
571	#547	C₂²×C₁₃	1	1	yes	characteristic
572	#542	—	2	2	no	—
573	#542	C₂²×C₁₃	1	2	yes	—
574	#540	—	2	2	no	—
575	#540	C₂²×C₁₃	1	2	yes	—
576	#533	—	2	1	no	—
577	#533	C₂²×C₁₃	1	1	yes	characteristic
578	#532	—	2	1	no	—
579	#532	C₂²×C₁₃	1	1	yes	characteristic
580	#529	—	2	1	no	—
581	#529	—	2	1	no	—
582	#529	C₂²×C₁₃	1	1	yes	characteristic
583	#520	C₂²×C₁₃	1	2	yes	—
584	#519	C₂²×C₁₃	1	2	yes	—
585	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
586	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
587	#501	C₂²×C₁₃	1	2	yes	—
588	#498	C₂²×C₁₃	1	1	yes	characteristic
589	#496	C₂²×C₁₃	1	2	yes	—
590	#492	C₂²×C₁₃	1	1	yes	characteristic
591	#488	C₂²×C₁₃	1	2	yes	—
592	#487	C₂²×C₁₃	1	1	yes	characteristic
593	#486	C₂²×C₁₃	1	1	yes	characteristic
594	#486	C₂²×C₁₃	1	2	yes	—
595	#485	C₂²×C₁₃	1	2	yes	—
596	#483	C₂²×C₁₃	1	2	yes	—
597	#482	C₂²×C₁₃	1	2	yes	—
598	#482	C₂²×C₁₃	1	2	yes	—
599	#482	C₂²×C₁₃	1	2	yes	—
600	#481	C₂²×C₁₃	1	2	yes	—
601	#479	C₂²×C₁₃	1	2	yes	—
602	#479	C₂²×C₁₃	1	2	yes	—
603	#477	C₂²×C₁₃	1	1	yes	characteristic
604	#476	C₂²×C₁₃	1	2	yes	—
605	#476	C₂²×C₁₃	1	1	yes	characteristic
606	#475	C₂²×C₁₃	1	1	yes	characteristic
607	#475	C₂²×C₁₃	1	2	yes	—
608	#474	C₂²×C₁₃	1	1	yes	characteristic
609	#469	C₂²×C₁₃	1	2	yes	—
610	#468	C₂²×C₁₃	1	2	yes	—
611	#466	C₂²×C₁₃	1	2	yes	—
612	#465	C₂²×C₁₃	1	2	yes	—
613	#465	C₂²×C₁₃	1	2	yes	—
614	#465	C₂²×C₁₃	1	2	yes	—
615	#464	C₂²×C₁₃	1	2	yes	—
616	#463	C₂²×C₁₃	1	2	yes	—
617	#462	C₂²×C₁₃	1	1	yes	characteristic
618	#461	C₂²×C₁₃	1	1	yes	characteristic
619	#460	C₂²×C₁₃	1	1	yes	characteristic
620	#460	C₂²×C₁₃	1	2	yes	—
621	#460	C₂²×C₁₃	1	2	yes	—
622	#459	C₂²×C₁₃	1	1	yes	characteristic
623	#452	C₂²×C₁₃	1	2	yes	—
624	#452	C₂²×C₁₃	1	2	yes	—
625	#449	C₂²×C₁₃	1	2	yes	—
626	#449	C₂²×C₁₃	1	2	yes	—
627	#448	C₂²×C₁₃	1	2	yes	—
628	#448	C₂²×C₁₃	1	2	yes	—
629	#446	C₂²×C₁₃	1	1	yes	characteristic
630	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
631	#442	C₂²×C₁₃	1	2	yes	—
632	#441	C₂²×C₁₃	1	2	yes	—
633	#441	C₂²×C₁₃	1	2	yes	—
634	#440	C₂²×C₁₃	1	2	yes	—
635	#440	C₂²×C₁₃	1	2	yes	—
636	#440	C₂²×C₁₃	1	2	yes	—
637	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
638	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
640	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
641	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
642	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
643	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
644	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
645	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
646	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
647	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
648	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
649	#436	C₂²×C₁₃	1	1	yes	characteristic
650	#435	C₂²×C₁₃	1	2	yes	—
651	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
652	C₈×D₄	C₂²×C₁₃	1	2	yes	—
653	#433	C₂²×C₁₃	1	2	yes	—
654	#432	C₂²×C₁₃	1	1	yes	characteristic
655	#428	C₂²×C₁₃	1	2	yes	—
656	#427	C₂²×C₁₃	1	1	yes	characteristic
657	#416	C₂²×C₁₃	1	1	yes	characteristic
658	#416	C₂²×C₁₃	1	1	yes	characteristic
659	#416	C₂²×C₁₃	1	2	yes	—
660	C₂×#103	C₂²×C₁₃	1	2	yes	—
661	#405	C₂²×C₁₃	1	2	yes	—
662	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	1	no	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	2	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	1	no	—
674	C₂²×C₁₃	—	4	2	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
679	C₄×C₁₃	—	2	1	no	—
680	C₄×C₁₃	—	2	1	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	2	1	no	—
683	C₄×C₁₃	—	2	2	no	—
684	C₄×C₁₃	—	2	2	no	—
685	C₄×C₁₃	—	2	2	no	—
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	—	4	1	no	—
690	C₄×C₁₃	—	4	2	no	—
691	C₄×C₁₃	—	4	2	no	—
692	C₄×C₁₃	—	4	1	no	—
693	C₄×C₁₃	—	4	1	no	—
694	C₄×C₁₃	—	4	2	no	—
695	C₄×C₁₃	#577	1	2	yes	—
696	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
697	C₄×C₁₃	#585	1	1	yes	characteristic
698	C₂×#41	—	2	1	no	—
699	C₂×#41	—	2	1	no	—
700	C₂×#41	—	2	1	no	—
701	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×#41	C₂³×C₁₃	1	2	yes	—
704	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
705	#137	—	2	8	no	—
706	#135	—	2	4	no	—
707	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
714	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
715	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×D₈	C₂³×C₁₃	1	2	yes	—
717	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
718	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
719	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
721	C₄⋊Q₈	—	2	1	no	—
722	C₄⋊Q₈	—	2	1	no	—
723	C₄⋊Q₈	—	2	1	no	—
724	C₄⋊Q₈	—	2	2	no	—
725	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
726	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
727	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
728	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
729	#127	—	2	1	no	—
730	#127	—	2	2	no	—
731	#127	C₂³×C₁₃	1	1	yes	characteristic
732	#127	C₂³×C₁₃	1	2	yes	—
733	#126	—	2	2	no	—
734	#126	—	2	2	no	—
735	#126	—	2	2	no	—
736	#126	—	2	2	no	—
737	#126	—	2	2	no	—
738	#126	D₄×C₁₃	1	2	yes	—
739	#125	—	2	2	no	—
740	#125	—	2	1	no	—
741	#125	D₄×C₁₃	1	1	yes	characteristic
742	#125	C₂³×C₁₃	1	2	yes	—
743	#124	—	2	2	no	—
744	#124	—	2	2	no	—
745	#124	—	2	2	no	—
746	#124	—	2	2	no	—
747	#124	—	2	1	no	—
748	#124	D₄×C₁₃	1	1	yes	characteristic
749	#124	C₂³×C₁₃	1	2	yes	—
750	#123	—	2	2	no	—
751	#123	—	2	2	no	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	D₄×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
763	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
765	#121	—	2	1	no	—
766	#121	—	2	2	no	—
767	#121	—	2	2	no	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#121	—	2	2	no	—
771	#121	—	2	2	no	—
772	#121	—	2	2	no	—
773	#121	—	2	2	no	—
774	#121	—	2	2	no	—
775	#121	—	2	2	no	—
776	#121	D₄×C₁₃	1	1	yes	characteristic
777	#121	C₂³×C₁₃	1	2	yes	—
778	#121	C₂³×C₁₃	1	2	yes	—
779	#121	C₂³×C₁₃	1	2	yes	—
780	#121	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	2	2	no	—
783	C₄×Q₈	—	2	2	no	—
784	C₄×Q₈	—	2	1	no	—
785	C₄×Q₈	—	2	2	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
789	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
791	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
792	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
793	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
794	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
795	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	1	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	2	no	—
804	C₄×D₄	—	2	2	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
809	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
811	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
812	C₄×D₄	C₂³×C₁₃	1	2	yes	—
813	C₄×D₄	C₂³×C₁₃	1	2	yes	—
814	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₁₃	1	2	yes	—
816	#117	—	2	1	no	—
817	#117	—	2	2	no	—
818	#117	—	2	1	no	—
819	#117	—	2	1	no	—
820	#117	—	2	2	no	—
821	#117	—	2	2	no	—
822	#117	—	2	1	no	—
823	#117	—	2	1	no	—
824	#117	C₂³×C₁₃	1	1	yes	characteristic
825	#117	C₂³×C₁₃	1	1	yes	characteristic
826	#117	C₂³×C₁₃	1	2	yes	—
827	#117	C₂³×C₁₃	1	2	yes	—
828	C₂×C₄⋊C₄	—	2	2	no	—
829	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
830	C₂×C₄²	—	2	1	no	—
831	C₂×C₄²	—	2	1	no	—
832	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
833	#107	C₂³×C₁₃	1	1	yes	characteristic
834	#107	C₂³×C₁₃	1	1	yes	characteristic
835	#107	C₂³×C₁₃	1	2	yes	—
836	#107	C₂³×C₁₃	1	2	yes	—
837	#106	C₂³×C₁₃	1	1	yes	characteristic
838	#106	C₂³×C₁₃	1	1	yes	characteristic
839	#106	C₂³×C₁₃	1	2	yes	—
840	#106	C₂³×C₁₃	1	2	yes	—
841	#106	C₂³×C₁₃	1	2	yes	—
842	#106	C₂³×C₁₃	1	2	yes	—
843	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
846	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
847	#103	C₂³×C₁₃	1	1	yes	characteristic
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	2	yes	—
850	#103	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	1	yes	characteristic
852	#103	C₂³×C₁₃	1	1	yes	characteristic
853	#103	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	2	yes	—
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#102	C₂³×C₁₃	1	1	yes	characteristic
858	#102	C₂³×C₁₃	1	1	yes	characteristic
859	#102	C₂³×C₁₃	1	1	yes	characteristic
860	#102	C₂³×C₁₃	1	1	yes	characteristic
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	2	yes	—
867	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
870	#97	C₂³×C₁₃	1	2	yes	—
871	#97	C₂³×C₁₃	1	2	yes	—
872	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
873	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₄×C₈	C₂³×C₁₃	1	2	yes	—
877	C₂×C₁₃	—	4	1	no	—
878	C₂×C₁₃	—	4	2	no	—
879	C₂×C₁₃	—	8	1	no	—
880	C₂×C₁₃	—	8	1	no	—
881	C₂×C₁₃	—	8	2	no	—
882	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
883	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
884	C₂×C₁₃	#3584	1	1	yes	characteristic
885	#41	—	2	2	no	—
886	#41	—	2	2	no	—
887	#41	—	2	4	no	—
888	#41	—	4	2	no	—
889	#41	—	4	1	no	—
890	#41	—	4	1	no	—
891	#41	—	8	2	no	—
892	#41	—	8	2	no	—
893	#41	—	8	2	no	—
894	C₂×Q₈	—	2	2	no	—
895	C₂×Q₈	—	2	1	no	—
896	C₂×Q₈	—	2	1	no	—
897	C₂×Q₈	—	2	2	no	—
898	C₂×Q₈	—	2	4	no	—
899	C₂×Q₈	—	4	2	no	—
900	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
901	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
902	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	2	1	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
916	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
917	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
919	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
932	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
934	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
935	Q₁₆	—	2	4	no	—
936	Q₁₆	C₁₃×#41	1	4	yes	complemented
937	SD₁₆	—	2	2	no	—
938	SD₁₆	—	2	2	no	—
939	SD₁₆	—	2	4	no	—
940	SD₁₆	—	2	4	no	—
941	SD₁₆	—	4	2	no	—
942	SD₁₆	—	4	2	no	—
943	D₈	—	2	2	no	—
944	D₈	—	4	2	no	—
945	M₁₆	—	2	4	no	—
946	C₂×C₈	—	2	2	no	—
947	C₂×C₈	—	4	2	no	—
948	C₂×C₈	—	4	1	no	—
949	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
953	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
954	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
974	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
975	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
981	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
984	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1003	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1004	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1005	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1006	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1019	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1021	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1022	C₄²	C₂⁴×C₁₃	1	2	yes	—
1023	C₁₃	#61495	1	1	yes	characteristic, direct product factor, Sylow
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1028	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1029	Q₈	—	2	2	no	—
1030	Q₈	—	2	1	no	—
1031	Q₈	—	2	1	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	2	no	—
1034	Q₈	—	4	4	no	—
1035	Q₈	—	4	2	no	—
1036	Q₈	—	8	1	no	—
1037	Q₈	—	8	2	no	—
1038	Q₈	C₂×C₁₃×#41	1	2	yes	—
1039	Q₈	C₂×C₁₃×#41	1	2	yes	—
1040	D₄	—	2	2	no	—
1041	D₄	—	2	1	no	—
1042	D₄	—	2	1	no	—
1043	D₄	—	2	2	no	—
1044	D₄	—	2	1	no	—
1045	D₄	—	2	2	no	—
1046	D₄	—	2	1	no	—
1047	D₄	—	4	2	no	—
1048	D₄	—	4	4	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	4	2	no	—
1051	D₄	—	4	2	no	—
1052	D₄	—	8	1	no	—
1053	D₄	—	8	2	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	2	no	—
1056	D₄	—	8	2	no	—
1057	D₄	—	8	2	no	—
1058	D₄	—	8	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	4	4	no	—
1077	C₂×C₄	—	4	4	no	—
1078	C₂×C₄	—	4	2	no	—
1079	C₂×C₄	—	4	2	no	—
1080	C₂×C₄	—	8	1	no	—
1081	C₂×C₄	—	8	1	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	2	no	—
1085	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1086	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1087	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1088	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1089	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1090	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1091	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1092	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1093	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1094	C₈	—	2	1	no	—
1095	C₈	—	2	2	no	—
1096	C₈	—	2	1	no	—
1097	C₈	—	2	2	no	—
1098	C₈	—	2	1	no	—
1099	C₈	C₂×C₁₃×#41	1	2	yes	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	2	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	2	1	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	2	no	—
1112	C₂²	—	4	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	2	no	—
1115	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1116	C₄	—	2	1	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	1	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	2	2	no	—
1121	C₄	—	2	1	no	—
1122	C₄	—	2	2	no	—
1123	C₄	—	2	2	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	1	no	—
1129	C₄	—	4	1	no	—
1130	C₄	—	4	2	no	—
1131	C₄	—	4	2	no	—
1132	C₄	C₁₃×#577	1	2	yes	—
1133	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1134	C₄	C₁₃×#585	1	1	yes	characteristic
1135	C₂	—	4	1	no	—
1136	C₂	—	4	2	no	—
1137	C₂	—	8	1	no	—
1138	C₂	—	8	1	no	—
1139	C₂	—	8	2	no	—
1140	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1141	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1142	C₂	C₁₃×#3584	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×#3518	C₂	semidirect
2. C₁₃×#3517	C₂	semidirect
3. C₁₃×#3397	C₂	semidirect
4. C₁₃×#3387	C₂	semidirect
5. C₁₃×#3364	C₂	semidirect
6. C₁₃×#3362	C₂	semidirect
7. C₁₃×#3354	C₂	semidirect
8. C₁₃×#3350	C₂	semidirect
9. C₁₃×#3305	C₂	semidirect
10. C₁₃×#3304	C₂	semidirect
11. C₁₃×#3301	C₂	semidirect
12. C₁₃×#3298	C₂	semidirect
13. C₁₃×#3278	C₂	semidirect
14. C₁₃×#3271	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3167	C₂	semidirect
17. C₁₃×#3126	C₂	semidirect
18. C₁₃×#3125	C₂	semidirect
19. C₁₃×#3116	C₂	semidirect
20. C₁₃×#3115	C₂	semidirect
21. C₁₃×#2966	C₂	semidirect
22. C₁₃×#2947	C₂	semidirect
23. C₄×C₁₃×#135	C₂	semidirect
314. #61495	C₁₃	direct (N × H)
366. C₁₃×Q₁₆	#41	semidirect
453. #3518	C₂×C₁₃	semidirect
454. #3517	C₂×C₁₃	semidirect
455. #3397	C₂×C₁₃	semidirect
456. #3387	C₂×C₁₃	semidirect
457. #3364	C₂×C₁₃	semidirect
458. #3362	C₂×C₁₃	semidirect
459. #3354	C₂×C₁₃	semidirect
460. #3350	C₂×C₁₃	semidirect
461. #3305	C₂×C₁₃	semidirect
462. #3304	C₂×C₁₃	semidirect
463. #3301	C₂×C₁₃	semidirect
464. #3298	C₂×C₁₃	semidirect
465. #3278	C₂×C₁₃	semidirect
466. #3271	C₂×C₁₃	semidirect
467. #3179	C₂×C₁₃	semidirect
468. #3167	C₂×C₁₃	semidirect
469. #3126	C₂×C₁₃	semidirect
470. #3125	C₂×C₁₃	semidirect
471. #3116	C₂×C₁₃	semidirect
472. #3115	C₂×C₁₃	semidirect
473. #2966	C₂×C₁₃	semidirect
474. #2947	C₂×C₁₃	semidirect
475. C₄×#135	C₂×C₁₃	semidirect
936. Q₁₆	C₁₃×#41	semidirect
1023. C₁₃	#61495	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×#3518	2
C₁₃×#3517	2
C₁₃×#3397	2
C₁₃×#3387	2
C₁₃×#3364	2
C₁₃×#3362	2
C₁₃×#3354	2
C₁₃×#3350	2
C₁₃×#3305	2
C₁₃×#3304	2
C₁₃×#3301	2
C₁₃×#3298	2
C₁₃×#3278	2
C₁₃×#3271	2
C₁₃×#3179	2
C₁₃×#3167	2
C₁₃×#3126	2
C₁₃×#3125	2
C₁₃×#3116	2
C₁₃×#3115	2
C₁₃×#2966	2
C₁₃×#2947	2
C₄×C₁₃×#135	2
#61495	13

Subgroups — C13×#61495 #15747834

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61495 #15747834