Subgroups — C₁₃×#60890 #15747229

Order 3328.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1100 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3244	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3240	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3234	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3232	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3228	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3163	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#557	—	2	1	no	—
25	C₁₃×#557	—	2	1	no	—
26	C₁₃×#554	—	2	2	no	—
27	C₁₃×#554	—	2	2	no	—
28	C₁₃×#554	—	2	1	no	—
29	C₁₃×#554	—	2	1	no	—
30	C₁₃×#544	C₂²	1	1	yes	characteristic
31	C₁₃×#544	C₂²	1	1	yes	characteristic
32	C₁₃×#544	C₂²	1	1	yes	characteristic
33	C₁₃×#544	C₂²	1	2	yes	complemented
34	C₁₃×#544	C₂²	1	2	yes	complemented
35	C₁₃×#542	—	2	1	no	—
36	C₁₃×#542	C₂²	1	2	yes	—
37	C₁₃×#540	—	2	1	no	—
38	C₁₃×#540	C₂²	1	2	yes	—
39	C₁₃×#538	—	2	2	no	—
40	C₁₃×#537	C₂²	1	1	yes	characteristic
41	C₁₃×#535	C₂²	1	1	yes	characteristic
42	C₁₃×#535	C₂²	1	1	yes	characteristic
43	C₁₃×#533	C₂²	1	1	yes	characteristic
44	C₁₃×#533	C₂²	1	2	yes	complemented
45	C₁₃×#532	—	2	1	no	—
46	C₁₃×#532	C₂²	1	2	yes	—
47	C₁₃×#529	—	2	1	no	—
48	C₁₃×#529	C₂²	1	2	yes	—
49	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
51	C₁₃×#525	—	2	2	no	—
52	C₁₃×#520	C₂²	1	1	yes	characteristic
53	C₁₃×#520	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	2	yes	complemented
58	C₁₃×#501	C₂²	1	2	yes	complemented
59	C₁₃×#501	C₂²	1	2	yes	complemented
60	C₁₃×#501	C₂²	1	2	yes	complemented
61	C₁₃×#500	C₂²	1	2	yes	complemented
62	C₁₃×#499	C₂²	1	2	yes	complemented
63	C₁₃×#499	C₂²	1	2	yes	complemented
64	C₁₃×#498	C₂²	1	2	yes	complemented
65	C₁₃×#490	C₂²	1	2	yes	—
66	C₁₃×#490	C₂²	1	2	yes	—
67	C₁₃×#489	C₂²	1	2	yes	—
68	C₁₃×#489	C₂²	1	2	yes	—
69	C₁₃×#488	C₂²	1	2	yes	—
70	C₁₃×#488	C₂²	1	2	yes	—
71	C₁₃×#486	C₂²	1	2	yes	—
72	C₁₃×#486	C₂²	1	2	yes	—
73	C₁₃×#485	C₂²	1	2	yes	complemented
74	C₁₃×#485	C₂²	1	2	yes	complemented
75	C₁₃×#484	C₂²	1	2	yes	complemented
76	C₁₃×#483	C₂²	1	2	yes	complemented
77	C₁₃×#482	C₂²	1	2	yes	—
78	C₁₃×#482	C₂²	1	2	yes	—
79	C₁₃×#482	C₂²	1	2	yes	—
80	C₁₃×#482	C₂²	1	2	yes	—
81	C₁₃×#482	C₂²	1	2	yes	complemented
82	C₁₃×#482	C₂²	1	2	yes	complemented
83	C₁₃×#481	C₂²	1	2	yes	—
84	C₁₃×#481	C₂²	1	2	yes	—
85	C₁₃×#481	C₂²	1	2	yes	complemented
86	C₁₃×#480	C₂²	1	2	yes	—
87	C₁₃×#480	C₂²	1	2	yes	—
88	C₁₃×#480	C₂²	1	2	yes	complemented
89	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#479	C₂²	1	2	yes	complemented
92	C₁₃×#479	C₂²	1	2	yes	complemented
93	C₁₃×#478	C₂²	1	2	yes	—
94	C₁₃×#478	C₂²	1	2	yes	—
95	C₁₃×#478	C₂²	1	2	yes	—
96	C₁₃×#478	C₂²	1	2	yes	—
97	C₁₃×#478	C₂²	1	2	yes	—
98	C₁₃×#478	C₂²	1	2	yes	—
99	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#478	C₂²	1	2	yes	complemented
102	C₁₃×#478	C₂²	1	2	yes	complemented
103	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#476	C₂²	1	2	yes	—
105	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#474	C₂²	1	2	yes	—
108	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#433	C₂²	1	2	yes	complemented
111	C₁₃×#432	C₂²	1	2	yes	complemented
112	C₁₃×#431	C₂²	1	2	yes	complemented
113	C₁₃×#428	C₂²	1	1	yes	characteristic
114	C₁₃×#428	C₂²	1	1	yes	characteristic
115	C₁₃×#428	C₂²	1	1	yes	characteristic
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₁₃×#427	C₂²	1	1	yes	characteristic
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
120	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
121	C₁₃×#423	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
123	C₁₃×#418	C₂²	1	1	yes	characteristic
124	C₁₃×#418	C₂²	1	1	yes	characteristic
125	C₁₃×#417	C₂²	1	1	yes	characteristic
126	C₁₃×#417	C₂²	1	1	yes	characteristic
127	C₁₃×#416	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
131	C₁₃×#408	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₁₃×#405	C₂²	1	1	yes	characteristic
134	C₁₃×#405	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	—	2	1	no	—
140	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
142	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₁₃×C₄⋊Q₈	—	2	1	no	—
145	C₁₃×C₄⋊Q₈	—	2	1	no	—
146	C₁₃×C₄⋊Q₈	—	2	1	no	—
147	C₁₃×C₄⋊Q₈	—	2	2	no	—
148	C₁₃×C₄⋊Q₈	—	2	2	no	—
149	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
150	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
151	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
153	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
154	C₁₃×#127	—	2	1	no	—
155	C₁₃×#127	C₂³	1	2	yes	—
156	C₁₃×#126	—	2	2	no	—
157	C₁₃×#126	—	2	2	no	—
158	C₁₃×#125	—	2	1	no	—
159	C₁₃×#125	—	2	1	no	—
160	C₁₃×#125	—	2	1	no	—
161	C₁₃×#125	—	2	2	no	—
162	C₁₃×#125	—	2	2	no	—
163	C₁₃×#125	—	2	1	no	—
164	C₁₃×#125	—	2	1	no	—
165	C₁₃×#125	—	2	2	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	C₂³	1	2	yes	—
168	C₁₃×#125	C₂³	1	2	yes	—
169	C₁₃×#125	C₂³	1	1	yes	characteristic
170	C₁₃×#125	C₂³	1	1	yes	characteristic
171	C₁₃×#125	C₂³	1	2	yes	—
172	C₁₃×#125	C₂³	1	2	yes	—
173	C₁₃×#125	C₂³	1	2	yes	—
174	C₁₃×#124	—	2	1	no	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#124	—	2	2	no	—
177	C₁₃×#124	C₂³	1	2	yes	—
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×C₂²⋊Q₈	—	2	1	no	—
183	C₁₃×C₂²⋊Q₈	—	2	1	no	—
184	C₁₃×C₂²⋊Q₈	—	2	1	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₁₃×#121	—	2	2	no	—
197	C₁₃×#121	—	2	1	no	—
198	C₁₃×#121	—	2	2	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	C₂³	1	2	yes	—
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	2	yes	—
206	C₁₃×#120	—	2	2	no	—
207	C₁₃×#120	—	2	2	no	—
208	C₄×Q₈×C₁₃	—	2	1	no	—
209	C₄×Q₈×C₁₃	—	2	1	no	—
210	C₄×Q₈×C₁₃	—	2	1	no	—
211	C₄×Q₈×C₁₃	—	2	1	no	—
212	C₄×Q₈×C₁₃	—	2	2	no	—
213	C₄×Q₈×C₁₃	—	2	2	no	—
214	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
215	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
216	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₄×D₄×C₁₃	—	2	2	no	—
219	C₄×D₄×C₁₃	—	2	2	no	—
220	C₄×D₄×C₁₃	—	2	1	no	—
221	C₄×D₄×C₁₃	—	2	1	no	—
222	C₄×D₄×C₁₃	—	2	1	no	—
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	2	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	D₄	1	2	yes	—
229	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
230	C₄×D₄×C₁₃	D₄	1	2	yes	—
231	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
232	C₄×D₄×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	2	yes	—
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₁₃×#117	—	2	1	no	—
237	C₁₃×#117	—	2	2	no	—
238	C₁₃×#117	C₂³	1	1	yes	characteristic
239	C₁₃×#117	C₂³	1	1	yes	characteristic
240	C₁₃×#117	C₂³	1	1	yes	characteristic
241	C₁₃×#117	C₂³	1	2	yes	—
242	C₁₃×#117	C₂³	1	2	yes	—
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	C₁₃×#117	C₂³	1	2	yes	—
245	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
246	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
247	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
248	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
254	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
255	C₂×C₄²×C₁₃	—	2	1	no	—
256	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
258	C₁₃×#107	C₂³	1	2	yes	—
259	C₁₃×#107	C₂³	1	2	yes	—
260	C₁₃×#107	C₂³	1	1	yes	characteristic
261	C₁₃×#107	C₂³	1	1	yes	characteristic
262	C₁₃×#107	C₂³	1	1	yes	characteristic
263	C₁₃×#107	C₂³	1	1	yes	characteristic
264	C₁₃×#107	C₂³	1	2	yes	—
265	C₁₃×#107	C₂³	1	2	yes	—
266	C₁₃×#107	C₂³	1	2	yes	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#106	C₂³	1	2	yes	—
269	C₁₃×#106	C₂³	1	2	yes	—
270	C₁₃×#106	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	2	yes	—
278	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	2	yes	—
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#60890	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	1	no	—
314	C₁₃×#41	—	2	2	no	—
315	C₁₃×#41	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	8	4	no	—
319	C₂×Q₈×C₁₃	—	2	1	no	—
320	C₂×Q₈×C₁₃	—	2	2	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
325	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
326	C₂×D₄×C₁₃	—	2	1	no	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
336	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
337	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	8	2	no	—
350	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
353	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
354	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₁₃×M₁₆	—	2	2	no	—
357	C₁₃×M₁₆	—	2	2	no	—
358	C₂×C₈×C₁₃	—	2	2	no	—
359	C₂×C₈×C₁₃	—	2	2	no	—
360	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
363	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
364	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	1	no	—
368	C₁₃×C₄⋊C₄	—	2	2	no	—
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	2	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	2	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	—	2	1	no	—
380	C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
394	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
395	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
396	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
397	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
398	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
402	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₁₃×C₂²⋊C₄	—	2	1	no	—
407	C₁₃×C₂²⋊C₄	—	2	2	no	—
408	C₁₃×C₂²⋊C₄	—	2	2	no	—
409	C₁₃×C₂²⋊C₄	—	2	1	no	—
410	C₁₃×C₂²⋊C₄	—	2	1	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
423	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
424	C₄²×C₁₃	—	2	1	no	—
425	C₄²×C₁₃	—	2	1	no	—
426	C₄²×C₁₃	—	2	1	no	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	—	2	2	no	—
429	C₄²×C₁₃	—	2	1	no	—
430	C₄²×C₁₃	—	2	1	no	—
431	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
432	C₄²×C₁₃	C₂×D₄	1	2	yes	—
433	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
434	C₄²×C₁₃	C₂×D₄	1	2	yes	—
435	C₄²×C₁₃	C₂⁴	1	2	yes	—
436	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
438	#3504	C₂×C₁₃	1	1	yes	characteristic, complemented
439	#3460	C₂×C₁₃	1	1	yes	characteristic
440	#3244	C₂×C₁₃	1	2	yes	complemented
441	#3243	C₂×C₁₃	1	2	yes	complemented
442	#3241	C₂×C₁₃	1	2	yes	complemented
443	#3241	C₂×C₁₃	1	2	yes	complemented
444	#3240	C₂×C₁₃	1	2	yes	complemented
445	#3234	C₂×C₁₃	1	2	yes	complemented
446	#3232	C₂×C₁₃	1	2	yes	complemented
447	#3228	C₂×C₁₃	1	2	yes	complemented
448	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3080	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
459	C₂×#478	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
461	C₂³×C₁₃	—	2	2	no	—
462	C₂³×C₁₃	—	2	1	no	—
463	C₂³×C₁₃	—	4	2	no	—
464	C₂³×C₁₃	—	8	1	no	—
465	C₂³×C₁₃	—	8	1	no	—
466	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
467	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
468	Q₈×C₁₃	—	2	2	no	—
469	Q₈×C₁₃	—	2	1	no	—
470	Q₈×C₁₃	—	2	1	no	—
471	Q₈×C₁₃	—	8	1	no	—
472	Q₈×C₁₃	—	8	2	no	—
473	Q₈×C₁₃	—	8	1	no	—
474	Q₈×C₁₃	—	8	2	no	—
475	Q₈×C₁₃	—	8	2	no	—
476	D₄×C₁₃	—	2	4	no	—
477	D₄×C₁₃	—	2	2	no	—
478	D₄×C₁₃	—	2	2	no	—
479	D₄×C₁₃	—	2	2	no	—
480	D₄×C₁₃	—	2	1	no	—
481	D₄×C₁₃	—	2	1	no	—
482	D₄×C₁₃	—	4	2	no	—
483	D₄×C₁₃	—	4	2	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	C₂×C₄×C₁₃	—	2	2	no	—
490	C₂×C₄×C₁₃	—	2	2	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	1	no	—
493	C₂×C₄×C₁₃	—	2	1	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	1	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	1	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	1	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	4	1	no	—
502	C₂×C₄×C₁₃	—	4	1	no	—
503	C₂×C₄×C₁₃	—	4	2	no	—
504	C₂×C₄×C₁₃	—	4	2	no	—
505	C₂×C₄×C₁₃	—	4	4	no	—
506	C₂×C₄×C₁₃	—	4	2	no	—
507	C₂×C₄×C₁₃	—	4	2	no	—
508	C₂×C₄×C₁₃	—	8	1	no	—
509	C₂×C₄×C₁₃	—	8	2	no	—
510	C₂×C₄×C₁₃	—	8	1	no	—
511	C₂×C₄×C₁₃	—	8	2	no	—
512	C₂×C₄×C₁₃	—	8	1	no	—
513	C₂×C₄×C₁₃	—	8	2	no	—
514	C₂×C₄×C₁₃	—	8	1	no	—
515	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
516	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
517	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
518	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
521	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
523	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
524	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
525	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
526	C₈×C₁₃	—	2	1	no	—
527	C₈×C₁₃	—	2	1	no	—
528	C₈×C₁₃	—	2	1	no	—
529	C₈×C₁₃	—	2	1	no	—
530	C₈×C₁₃	—	2	2	no	—
531	C₈×C₁₃	—	2	2	no	—
532	#557	—	2	1	no	—
533	#557	—	2	1	no	—
534	#554	—	2	2	no	—
535	#554	—	2	2	no	—
536	#554	—	2	1	no	—
537	#554	—	2	1	no	—
538	#544	C₂²×C₁₃	1	1	yes	characteristic
539	#544	C₂²×C₁₃	1	1	yes	characteristic
540	#544	C₂²×C₁₃	1	1	yes	characteristic
541	#544	C₂²×C₁₃	1	2	yes	complemented
542	#544	C₂²×C₁₃	1	2	yes	complemented
543	#542	—	2	1	no	—
544	#542	C₂²×C₁₃	1	2	yes	—
545	#540	—	2	1	no	—
546	#540	C₂²×C₁₃	1	2	yes	—
547	#538	—	2	2	no	—
548	#537	C₂²×C₁₃	1	1	yes	characteristic
549	#535	C₂²×C₁₃	1	1	yes	characteristic
550	#535	C₂²×C₁₃	1	1	yes	characteristic
551	#533	C₂²×C₁₃	1	1	yes	characteristic
552	#533	C₂²×C₁₃	1	2	yes	complemented
553	#532	—	2	1	no	—
554	#532	C₂²×C₁₃	1	2	yes	—
555	#529	—	2	1	no	—
556	#529	C₂²×C₁₃	1	2	yes	—
557	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
558	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
559	#525	—	2	2	no	—
560	#520	C₂²×C₁₃	1	1	yes	characteristic
561	#520	C₂²×C₁₃	1	1	yes	characteristic
562	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
563	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
564	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
565	#501	C₂²×C₁₃	1	2	yes	complemented
566	#501	C₂²×C₁₃	1	2	yes	complemented
567	#501	C₂²×C₁₃	1	2	yes	complemented
568	#501	C₂²×C₁₃	1	2	yes	complemented
569	#500	C₂²×C₁₃	1	2	yes	complemented
570	#499	C₂²×C₁₃	1	2	yes	complemented
571	#499	C₂²×C₁₃	1	2	yes	complemented
572	#498	C₂²×C₁₃	1	2	yes	complemented
573	#490	C₂²×C₁₃	1	2	yes	—
574	#490	C₂²×C₁₃	1	2	yes	—
575	#489	C₂²×C₁₃	1	2	yes	—
576	#489	C₂²×C₁₃	1	2	yes	—
577	#488	C₂²×C₁₃	1	2	yes	—
578	#488	C₂²×C₁₃	1	2	yes	—
579	#486	C₂²×C₁₃	1	2	yes	—
580	#486	C₂²×C₁₃	1	2	yes	—
581	#485	C₂²×C₁₃	1	2	yes	complemented
582	#485	C₂²×C₁₃	1	2	yes	complemented
583	#484	C₂²×C₁₃	1	2	yes	complemented
584	#483	C₂²×C₁₃	1	2	yes	complemented
585	#482	C₂²×C₁₃	1	2	yes	—
586	#482	C₂²×C₁₃	1	2	yes	—
587	#482	C₂²×C₁₃	1	2	yes	—
588	#482	C₂²×C₁₃	1	2	yes	—
589	#482	C₂²×C₁₃	1	2	yes	complemented
590	#482	C₂²×C₁₃	1	2	yes	complemented
591	#481	C₂²×C₁₃	1	2	yes	—
592	#481	C₂²×C₁₃	1	2	yes	—
593	#481	C₂²×C₁₃	1	2	yes	complemented
594	#480	C₂²×C₁₃	1	2	yes	—
595	#480	C₂²×C₁₃	1	2	yes	—
596	#480	C₂²×C₁₃	1	2	yes	complemented
597	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
598	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	#479	C₂²×C₁₃	1	2	yes	complemented
600	#479	C₂²×C₁₃	1	2	yes	complemented
601	#478	C₂²×C₁₃	1	2	yes	—
602	#478	C₂²×C₁₃	1	2	yes	—
603	#478	C₂²×C₁₃	1	2	yes	—
604	#478	C₂²×C₁₃	1	2	yes	—
605	#478	C₂²×C₁₃	1	2	yes	—
606	#478	C₂²×C₁₃	1	2	yes	—
607	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#478	C₂²×C₁₃	1	2	yes	complemented
610	#478	C₂²×C₁₃	1	2	yes	complemented
611	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#476	C₂²×C₁₃	1	2	yes	—
613	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#474	C₂²×C₁₃	1	2	yes	—
616	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#433	C₂²×C₁₃	1	2	yes	complemented
618	#433	C₂²×C₁₃	1	2	yes	complemented
619	#432	C₂²×C₁₃	1	2	yes	complemented
620	#431	C₂²×C₁₃	1	2	yes	complemented
621	#428	C₂²×C₁₃	1	1	yes	characteristic
622	#428	C₂²×C₁₃	1	1	yes	characteristic
623	#428	C₂²×C₁₃	1	1	yes	characteristic
624	#428	C₂²×C₁₃	1	1	yes	characteristic
625	#427	C₂²×C₁₃	1	1	yes	characteristic
626	#427	C₂²×C₁₃	1	1	yes	characteristic
627	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
628	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
629	#423	C₂²×C₁₃	1	1	yes	characteristic
630	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
631	#418	C₂²×C₁₃	1	1	yes	characteristic
632	#418	C₂²×C₁₃	1	1	yes	characteristic
633	#417	C₂²×C₁₃	1	1	yes	characteristic
634	#417	C₂²×C₁₃	1	1	yes	characteristic
635	#416	C₂²×C₁₃	1	1	yes	characteristic
636	#416	C₂²×C₁₃	1	1	yes	characteristic
637	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
638	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
639	#408	C₂²×C₁₃	1	1	yes	characteristic
640	#408	C₂²×C₁₃	1	1	yes	characteristic
641	#405	C₂²×C₁₃	1	1	yes	characteristic
642	#405	C₂²×C₁₃	1	1	yes	characteristic
643	C₂²×C₁₃	—	2	1	no	—
644	C₂²×C₁₃	—	2	1	no	—
645	C₂²×C₁₃	—	2	2	no	—
646	C₂²×C₁₃	—	2	2	no	—
647	C₂²×C₁₃	—	2	2	no	—
648	C₂²×C₁₃	—	4	1	no	—
649	C₂²×C₁₃	—	4	2	no	—
650	C₂²×C₁₃	—	4	2	no	—
651	C₂²×C₁₃	—	4	1	no	—
652	C₂²×C₁₃	—	4	1	no	—
653	C₂²×C₁₃	—	4	2	no	—
654	C₂²×C₁₃	—	8	4	no	—
655	C₂²×C₁₃	#536	1	2	yes	—
656	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
657	C₄×C₁₃	—	2	1	no	—
658	C₄×C₁₃	—	2	1	no	—
659	C₄×C₁₃	—	2	2	no	—
660	C₄×C₁₃	—	2	1	no	—
661	C₄×C₁₃	—	2	1	no	—
662	C₄×C₁₃	—	2	2	no	—
663	C₄×C₁₃	—	2	2	no	—
664	C₄×C₁₃	—	4	2	no	—
665	C₄×C₁₃	—	4	1	no	—
666	C₄×C₁₃	—	4	1	no	—
667	C₄×C₁₃	—	4	1	no	—
668	C₄×C₁₃	—	4	2	no	—
669	C₄×C₁₃	—	4	1	no	—
670	C₄×C₁₃	—	4	2	no	—
671	C₄×C₁₃	—	4	1	no	—
672	C₄×C₁₃	—	4	1	no	—
673	C₄×C₁₃	—	4	1	no	—
674	C₄×C₁₃	#536	1	2	yes	—
675	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
676	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
677	C₂×#41	—	2	2	no	—
678	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
679	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
680	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
681	C₂³×C₄	—	2	1	no	—
682	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
683	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
684	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
685	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
686	C₄⋊Q₈	—	2	1	no	—
687	C₄⋊Q₈	—	2	1	no	—
688	C₄⋊Q₈	—	2	1	no	—
689	C₄⋊Q₈	—	2	2	no	—
690	C₄⋊Q₈	—	2	2	no	—
691	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
692	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
693	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
694	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
695	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
696	#127	—	2	1	no	—
697	#127	C₂³×C₁₃	1	2	yes	—
698	#126	—	2	2	no	—
699	#126	—	2	2	no	—
700	#125	—	2	1	no	—
701	#125	—	2	1	no	—
702	#125	—	2	1	no	—
703	#125	—	2	2	no	—
704	#125	—	2	2	no	—
705	#125	—	2	1	no	—
706	#125	—	2	1	no	—
707	#125	—	2	2	no	—
708	#125	—	2	2	no	—
709	#125	C₂³×C₁₃	1	2	yes	—
710	#125	C₂³×C₁₃	1	2	yes	—
711	#125	C₂³×C₁₃	1	1	yes	characteristic
712	#125	C₂³×C₁₃	1	2	yes	—
713	#125	C₂³×C₁₃	1	2	yes	—
714	#125	C₂³×C₁₃	1	2	yes	—
715	#125	C₂³×C₁₃	1	1	yes	characteristic
716	#124	—	2	1	no	—
717	#124	—	2	2	no	—
718	#124	—	2	2	no	—
719	#124	C₂³×C₁₃	1	2	yes	—
720	#123	—	2	2	no	—
721	#123	—	2	2	no	—
722	#123	—	2	2	no	—
723	#123	—	2	2	no	—
724	C₂²⋊Q₈	—	2	1	no	—
725	C₂²⋊Q₈	—	2	1	no	—
726	C₂²⋊Q₈	—	2	1	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
738	#121	—	2	2	no	—
739	#121	—	2	1	no	—
740	#121	—	2	2	no	—
741	#121	—	2	1	no	—
742	#121	—	2	1	no	—
743	#121	—	2	2	no	—
744	#121	—	2	2	no	—
745	#121	C₂³×C₁₃	1	2	yes	—
746	#121	C₂³×C₁₃	1	2	yes	—
747	#121	C₂³×C₁₃	1	2	yes	—
748	#120	—	2	2	no	—
749	#120	—	2	2	no	—
750	C₄×Q₈	—	2	1	no	—
751	C₄×Q₈	—	2	1	no	—
752	C₄×Q₈	—	2	1	no	—
753	C₄×Q₈	—	2	1	no	—
754	C₄×Q₈	—	2	2	no	—
755	C₄×Q₈	—	2	2	no	—
756	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
757	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
758	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
759	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
760	C₄×D₄	—	2	2	no	—
761	C₄×D₄	—	2	2	no	—
762	C₄×D₄	—	2	1	no	—
763	C₄×D₄	—	2	1	no	—
764	C₄×D₄	—	2	1	no	—
765	C₄×D₄	—	2	1	no	—
766	C₄×D₄	—	2	2	no	—
767	C₄×D₄	—	2	1	no	—
768	C₄×D₄	—	2	1	no	—
769	C₄×D₄	—	2	2	no	—
770	C₄×D₄	D₄×C₁₃	1	2	yes	—
771	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
772	C₄×D₄	D₄×C₁₃	1	2	yes	—
773	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
774	C₄×D₄	C₂³×C₁₃	1	2	yes	—
775	C₄×D₄	C₂³×C₁₃	1	2	yes	—
776	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
778	#117	—	2	1	no	—
779	#117	—	2	2	no	—
780	#117	C₂³×C₁₃	1	1	yes	characteristic
781	#117	C₂³×C₁₃	1	1	yes	characteristic
782	#117	C₂³×C₁₃	1	1	yes	characteristic
783	#117	C₂³×C₁₃	1	2	yes	—
784	#117	C₂³×C₁₃	1	2	yes	—
785	#117	C₂³×C₁₃	1	1	yes	characteristic
786	#117	C₂³×C₁₃	1	2	yes	—
787	C₂×C₄⋊C₄	—	2	1	no	—
788	C₂×C₄⋊C₄	—	2	1	no	—
789	C₂×C₄⋊C₄	—	2	2	no	—
790	C₂×C₄⋊C₄	—	2	2	no	—
791	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
792	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
794	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
795	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
796	C₂×C₂²⋊C₄	—	2	1	no	—
797	C₂×C₄²	—	2	1	no	—
798	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
799	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
800	#107	C₂³×C₁₃	1	2	yes	—
801	#107	C₂³×C₁₃	1	2	yes	—
802	#107	C₂³×C₁₃	1	1	yes	characteristic
803	#107	C₂³×C₁₃	1	1	yes	characteristic
804	#107	C₂³×C₁₃	1	1	yes	characteristic
805	#107	C₂³×C₁₃	1	1	yes	characteristic
806	#107	C₂³×C₁₃	1	2	yes	—
807	#107	C₂³×C₁₃	1	2	yes	—
808	#107	C₂³×C₁₃	1	2	yes	—
809	#107	C₂³×C₁₃	1	2	yes	—
810	#106	C₂³×C₁₃	1	2	yes	—
811	#106	C₂³×C₁₃	1	2	yes	—
812	#106	C₂³×C₁₃	1	1	yes	characteristic
813	#106	C₂³×C₁₃	1	1	yes	characteristic
814	#106	C₂³×C₁₃	1	1	yes	characteristic
815	#106	C₂³×C₁₃	1	1	yes	characteristic
816	#106	C₂³×C₁₃	1	2	yes	—
817	#106	C₂³×C₁₃	1	2	yes	—
818	#106	C₂³×C₁₃	1	2	yes	—
819	#106	C₂³×C₁₃	1	2	yes	—
820	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
821	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
822	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
825	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
826	#103	C₂³×C₁₃	1	1	yes	characteristic
827	#103	C₂³×C₁₃	1	1	yes	characteristic
828	#103	C₂³×C₁₃	1	1	yes	characteristic
829	#103	C₂³×C₁₃	1	1	yes	characteristic
830	#103	C₂³×C₁₃	1	2	yes	—
831	#103	C₂³×C₁₃	1	2	yes	—
832	#102	C₂³×C₁₃	1	2	yes	—
833	#102	C₂³×C₁₃	1	2	yes	—
834	#102	C₂³×C₁₃	1	2	yes	—
835	#102	C₂³×C₁₃	1	2	yes	—
836	#102	C₂³×C₁₃	1	1	yes	characteristic
837	#102	C₂³×C₁₃	1	1	yes	characteristic
838	#102	C₂³×C₁₃	1	1	yes	characteristic
839	#102	C₂³×C₁₃	1	1	yes	characteristic
840	#102	C₂³×C₁₃	1	2	yes	—
841	#102	C₂³×C₁₃	1	2	yes	—
842	#102	C₂³×C₁₃	1	2	yes	—
843	#102	C₂³×C₁₃	1	2	yes	—
844	#102	C₂³×C₁₃	1	2	yes	—
845	#102	C₂³×C₁₃	1	2	yes	—
846	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
847	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
848	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
849	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
850	#97	C₂³×C₁₃	1	2	yes	—
851	#97	C₂³×C₁₃	1	2	yes	—
852	C₄×C₈	C₂³×C₁₃	1	2	yes	—
853	C₄×C₈	C₂³×C₁₃	1	2	yes	—
854	C₂×C₁₃	—	2	2	no	—
855	C₂×C₁₃	—	4	2	no	—
856	C₂×C₁₃	—	8	1	no	—
857	C₂×C₁₃	—	8	2	no	—
858	C₂×C₁₃	C₂×#536	1	1	yes	characteristic
859	C₂×C₁₃	#3584	1	1	yes	characteristic
860	C₂×C₁₃	#3585	1	1	yes	characteristic
861	C₂⁴	—	2	1	no	—
862	#41	—	2	2	no	—
863	#41	—	2	2	no	—
864	#41	—	2	2	no	—
865	#41	—	2	2	no	—
866	#41	—	8	4	no	—
867	C₂×Q₈	—	2	1	no	—
868	C₂×Q₈	—	2	2	no	—
869	C₂×Q₈	—	2	1	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	2	2	no	—
872	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
873	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
874	C₂×D₄	—	2	1	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	1	no	—
879	C₂×D₄	—	2	2	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
884	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
885	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
886	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
887	C₂²×C₄	—	2	1	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	2	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	8	2	no	—
898	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
899	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
900	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
901	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
902	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
903	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
904	M₁₆	—	2	2	no	—
905	M₁₆	—	2	2	no	—
906	C₂×C₈	—	2	2	no	—
907	C₂×C₈	—	2	2	no	—
908	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
909	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
910	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
911	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
912	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
913	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	1	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	1	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	1	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	—	2	2	no	—
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	1	no	—
936	C₄⋊C₄	—	2	1	no	—
937	C₄⋊C₄	—	2	1	no	—
938	C₄⋊C₄	—	2	2	no	—
939	C₄⋊C₄	—	2	1	no	—
940	C₄⋊C₄	—	2	2	no	—
941	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
942	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
943	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
944	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
945	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
946	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
949	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
952	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
953	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₂²⋊C₄	—	2	1	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	1	no	—
958	C₂²⋊C₄	—	2	1	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	1	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	—	2	2	no	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
972	C₄²	—	2	1	no	—
973	C₄²	—	2	1	no	—
974	C₄²	—	2	1	no	—
975	C₄²	—	2	2	no	—
976	C₄²	—	2	2	no	—
977	C₄²	—	2	1	no	—
978	C₄²	—	2	1	no	—
979	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
980	C₄²	C₂×D₄×C₁₃	1	2	yes	—
981	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
982	C₄²	C₂×D₄×C₁₃	1	2	yes	—
983	C₄²	C₂⁴×C₁₃	1	2	yes	—
984	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
986	C₁₃	#60890	1	1	yes	characteristic, direct product factor, Sylow
987	C₂³	—	2	2	no	—
988	C₂³	—	2	1	no	—
989	C₂³	—	4	2	no	—
990	C₂³	—	8	1	no	—
991	C₂³	—	8	1	no	—
992	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
993	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
994	Q₈	—	2	2	no	—
995	Q₈	—	2	1	no	—
996	Q₈	—	2	1	no	—
997	Q₈	—	8	2	no	—
998	Q₈	—	8	1	no	—
999	Q₈	—	8	2	no	—
1000	Q₈	—	8	1	no	—
1001	Q₈	—	8	2	no	—
1002	D₄	—	2	4	no	—
1003	D₄	—	2	2	no	—
1004	D₄	—	2	2	no	—
1005	D₄	—	2	2	no	—
1006	D₄	—	2	1	no	—
1007	D₄	—	2	1	no	—
1008	D₄	—	4	2	no	—
1009	D₄	—	4	2	no	—
1010	D₄	—	8	2	no	—
1011	D₄	—	8	2	no	—
1012	D₄	—	8	2	no	—
1013	D₄	—	8	2	no	—
1014	D₄	—	8	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	2	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	2	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	4	1	no	—
1028	C₂×C₄	—	4	1	no	—
1029	C₂×C₄	—	4	2	no	—
1030	C₂×C₄	—	4	2	no	—
1031	C₂×C₄	—	4	4	no	—
1032	C₂×C₄	—	4	2	no	—
1033	C₂×C₄	—	4	2	no	—
1034	C₂×C₄	—	8	2	no	—
1035	C₂×C₄	—	8	1	no	—
1036	C₂×C₄	—	8	1	no	—
1037	C₂×C₄	—	8	1	no	—
1038	C₂×C₄	—	8	2	no	—
1039	C₂×C₄	—	8	1	no	—
1040	C₂×C₄	—	8	2	no	—
1041	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1042	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1043	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1044	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1045	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1046	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1047	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1048	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1049	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1050	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1051	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1052	C₈	—	2	1	no	—
1053	C₈	—	2	1	no	—
1054	C₈	—	2	1	no	—
1055	C₈	—	2	1	no	—
1056	C₈	—	2	2	no	—
1057	C₈	—	2	2	no	—
1058	C₂²	—	2	1	no	—
1059	C₂²	—	2	1	no	—
1060	C₂²	—	2	2	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	2	no	—
1063	C₂²	—	4	1	no	—
1064	C₂²	—	4	2	no	—
1065	C₂²	—	4	2	no	—
1066	C₂²	—	4	1	no	—
1067	C₂²	—	4	1	no	—
1068	C₂²	—	4	2	no	—
1069	C₂²	—	8	4	no	—
1070	C₂²	C₁₃×#536	1	2	yes	—
1071	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1072	C₄	—	2	1	no	—
1073	C₄	—	2	1	no	—
1074	C₄	—	2	2	no	—
1075	C₄	—	2	1	no	—
1076	C₄	—	2	1	no	—
1077	C₄	—	2	2	no	—
1078	C₄	—	2	2	no	—
1079	C₄	—	4	2	no	—
1080	C₄	—	4	1	no	—
1081	C₄	—	4	1	no	—
1082	C₄	—	4	1	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	1	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	1	no	—
1088	C₄	—	4	1	no	—
1089	C₄	C₁₃×#536	1	2	yes	—
1090	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1091	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1092	C₂	—	2	2	no	—
1093	C₂	—	4	2	no	—
1094	C₂	—	8	2	no	—
1095	C₂	—	8	1	no	—
1096	C₂	C₂×C₁₃×#536	1	1	yes	characteristic
1097	C₂	C₁₃×#3584	1	1	yes	characteristic
1098	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3460	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3504	C₂	semidirect
3. C₁₃×#3244	C₂	semidirect
4. C₁₃×#3243	C₂	semidirect
5. C₁₃×#3241	C₂	semidirect
6. C₁₃×#3241	C₂	semidirect
7. C₁₃×#3240	C₂	semidirect
8. C₁₃×#3234	C₂	semidirect
9. C₁₃×#3232	C₂	semidirect
10. C₁₃×#3228	C₂	semidirect
11. C₁₃×#3164	C₂	semidirect
12. C₁₃×#3163	C₂	semidirect
13. C₁₃×#3136	C₂	semidirect
14. C₁₃×#3136	C₂	semidirect
15. C₁₃×#3099	C₂	semidirect
16. C₁₃×#3098	C₂	semidirect
17. C₁₃×#3096	C₂	semidirect
18. C₁₃×#3096	C₂	semidirect
19. C₁₃×#3080	C₂	semidirect
20. C₁₃×#3077	C₂	semidirect
21. C₁₃×#3076	C₂	semidirect
22. C₂×C₁₃×#478	C₂	semidirect
23. C₁₃×#2925	C₂	semidirect
33. C₁₃×#544	C₂²	semidirect
34. C₁₃×#544	C₂²	semidirect
44. C₁₃×#533	C₂²	semidirect
50. C₂×C₁₃×#125	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#501	C₂²	semidirect
59. C₁₃×#501	C₂²	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#500	C₂²	semidirect
62. C₁₃×#499	C₂²	semidirect
63. C₁₃×#499	C₂²	semidirect
64. C₁₃×#498	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
74. C₁₃×#485	C₂²	semidirect
75. C₁₃×#484	C₂²	semidirect
76. C₁₃×#483	C₂²	semidirect
81. C₁₃×#482	C₂²	semidirect
82. C₁₃×#482	C₂²	semidirect
85. C₁₃×#481	C₂²	semidirect
88. C₁₃×#480	C₂²	semidirect
89. C₁₃×#479	C₂²	semidirect
90. C₁₃×#479	C₂²	semidirect
91. C₁₃×#479	C₂²	semidirect
92. C₁₃×#479	C₂²	semidirect
99. C₁₃×#478	C₂²	semidirect
100. C₁₃×#478	C₂²	semidirect
101. C₁₃×#478	C₂²	semidirect
102. C₁₃×#478	C₂²	semidirect
103. C₁₃×#477	C₂²	semidirect
105. C₁₃×#476	C₂²	semidirect
106. C₁₃×#475	C₂²	semidirect
108. C₁₃×#474	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
110. C₁₃×#433	C₂²	semidirect
111. C₁₃×#432	C₂²	semidirect
112. C₁₃×#431	C₂²	semidirect
312. #60890	C₁₃	direct (N × H)
438. #3504	C₂×C₁₃	semidirect
440. #3244	C₂×C₁₃	semidirect
441. #3243	C₂×C₁₃	semidirect
442. #3241	C₂×C₁₃	semidirect
443. #3241	C₂×C₁₃	semidirect
444. #3240	C₂×C₁₃	semidirect
445. #3234	C₂×C₁₃	semidirect
446. #3232	C₂×C₁₃	semidirect
447. #3228	C₂×C₁₃	semidirect
448. #3164	C₂×C₁₃	semidirect
449. #3163	C₂×C₁₃	semidirect
450. #3136	C₂×C₁₃	semidirect
451. #3136	C₂×C₁₃	semidirect
452. #3099	C₂×C₁₃	semidirect
453. #3098	C₂×C₁₃	semidirect
454. #3096	C₂×C₁₃	semidirect
455. #3096	C₂×C₁₃	semidirect
456. #3080	C₂×C₁₃	semidirect
457. #3077	C₂×C₁₃	semidirect
458. #3076	C₂×C₁₃	semidirect
459. C₂×#478	C₂×C₁₃	semidirect
460. #2925	C₂×C₁₃	semidirect
541. #544	C₂²×C₁₃	semidirect
542. #544	C₂²×C₁₃	semidirect
552. #533	C₂²×C₁₃	semidirect
558. C₂×#125	C₂²×C₁₃	semidirect
565. #501	C₂²×C₁₃	semidirect
566. #501	C₂²×C₁₃	semidirect
567. #501	C₂²×C₁₃	semidirect
568. #501	C₂²×C₁₃	semidirect
569. #500	C₂²×C₁₃	semidirect
570. #499	C₂²×C₁₃	semidirect
571. #499	C₂²×C₁₃	semidirect
572. #498	C₂²×C₁₃	semidirect
581. #485	C₂²×C₁₃	semidirect
582. #485	C₂²×C₁₃	semidirect
583. #484	C₂²×C₁₃	semidirect
584. #483	C₂²×C₁₃	semidirect
589. #482	C₂²×C₁₃	semidirect
590. #482	C₂²×C₁₃	semidirect
593. #481	C₂²×C₁₃	semidirect
596. #480	C₂²×C₁₃	semidirect
597. #479	C₂²×C₁₃	semidirect
598. #479	C₂²×C₁₃	semidirect
599. #479	C₂²×C₁₃	semidirect
600. #479	C₂²×C₁₃	semidirect
607. #478	C₂²×C₁₃	semidirect
608. #478	C₂²×C₁₃	semidirect
609. #478	C₂²×C₁₃	semidirect
610. #478	C₂²×C₁₃	semidirect
611. #477	C₂²×C₁₃	semidirect
613. #476	C₂²×C₁₃	semidirect
614. #475	C₂²×C₁₃	semidirect
616. #474	C₂²×C₁₃	semidirect
617. #433	C₂²×C₁₃	semidirect
618. #433	C₂²×C₁₃	semidirect
619. #432	C₂²×C₁₃	semidirect
620. #431	C₂²×C₁₃	semidirect
986. C₁₃	#60890	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×#3504	2
C₁₃×#3460	2
C₁₃×#3244	2
C₁₃×#3243	2
C₁₃×#3241	2
C₁₃×#3240	2
C₁₃×#3234	2
C₁₃×#3232	2
C₁₃×#3228	2
C₁₃×#3164	2
C₁₃×#3163	2
C₁₃×#3136	2
C₁₃×#3099	2
C₁₃×#3098	2
C₁₃×#3096	2
C₁₃×#3080	2
C₁₃×#3077	2
C₁₃×#3076	2
C₂×C₁₃×#478	2
C₁₃×#2925	2
#60890	13

Subgroups — C13×#60890 #15747229

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60890 #15747229