Subgroups — C₁₃×#61703 #15748042

Order 3328.

1780 conjugacy classes of subgroups.

The subgroup lattice has 1132 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3342	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3340	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3337	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3336	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3334	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3231	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3191	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3190	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3091	C₂	1	2	yes	maximal, complemented
22	C₂×C₁₃×#485	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2972	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#556	C₂²	1	1	yes	characteristic
25	C₁₃×#556	C₂²	1	1	yes	characteristic
26	C₁₃×#555	C₂²	1	1	yes	characteristic
27	C₁₃×#554	—	2	1	no	—
28	C₁₃×#554	C₂²	1	1	yes	characteristic
29	C₁₃×#553	C₂²	1	2	yes	—
30	C₁₃×#552	—	2	1	no	—
31	C₁₃×#552	C₂²	1	2	yes	—
32	C₁₃×#552	C₂²	1	2	yes	—
33	C₁₃×#551	—	2	2	no	—
34	C₁₃×#551	—	2	2	no	—
35	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
36	C₁₃×#548	C₂²	1	2	yes	—
37	C₁₃×#547	C₂²	1	1	yes	characteristic
38	C₁₃×#547	C₂²	1	1	yes	characteristic
39	C₁₃×#547	C₂²	1	1	yes	characteristic
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#542	—	2	1	no	—
43	C₁₃×#539	—	2	2	no	—
44	C₁₃×#533	C₂²	1	1	yes	characteristic
45	C₁₃×#533	C₂²	1	1	yes	characteristic
46	C₁₃×#529	—	2	2	no	—
47	C₁₃×#529	—	2	1	no	—
48	C₁₃×#529	C₂²	1	1	yes	characteristic
49	C₁₃×#525	C₂²	1	2	yes	—
50	C₁₃×#525	C₂²	1	2	yes	—
51	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
52	C₁₃×#520	—	2	1	no	—
53	C₄×C₁₃×#41	—	2	1	no	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#117	C₂²	1	2	yes	—
57	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#499	C₂²	1	2	yes	complemented
59	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#488	C₂²	1	2	yes	complemented
61	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#485	C₂²	1	1	yes	characteristic
64	C₁₃×#485	C₂²	1	2	yes	—
65	C₁₃×#485	C₂²	1	2	yes	—
66	C₁₃×#485	C₂²	1	2	yes	—
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#485	C₂²	1	2	yes	complemented
70	C₁₃×#485	C₂²	1	2	yes	complemented
71	C₁₃×#485	C₂²	1	2	yes	complemented
72	C₁₃×#485	C₂²	1	2	yes	complemented
73	C₁₃×#484	C₂²	1	2	yes	complemented
74	C₁₃×#483	C₂²	1	2	yes	complemented
75	C₁₃×#483	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	1	yes	characteristic
77	C₁₃×#482	C₂²	1	2	yes	—
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	2	yes	complemented
80	C₁₃×#480	C₂²	1	2	yes	complemented
81	C₁₃×#480	C₂²	1	2	yes	complemented
82	C₁₃×#479	C₂²	1	2	yes	complemented
83	C₁₃×#479	C₂²	1	2	yes	complemented
84	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#467	C₂²	1	2	yes	complemented
93	C₁₃×#467	C₂²	1	2	yes	complemented
94	C₁₃×#467	C₂²	1	2	yes	complemented
95	C₁₃×#466	C₂²	1	2	yes	complemented
96	C₁₃×#465	C₂²	1	2	yes	complemented
97	C₁₃×#465	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#451	C₂²	1	2	yes	complemented
108	C₁₃×#449	C₂²	1	1	yes	characteristic
109	C₁₃×#449	C₂²	1	2	yes	complemented
110	C₁₃×#448	C₂²	1	2	yes	complemented
111	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
113	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
117	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
118	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
119	C₈×D₄×C₁₃	C₂²	1	2	yes	—
120	C₈×D₄×C₁₃	C₂²	1	2	yes	—
121	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
122	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
123	C₁₃×#431	C₂²	1	1	yes	characteristic
124	C₁₃×#431	C₂²	1	1	yes	characteristic
125	C₁₃×#427	C₂²	1	2	yes	complemented
126	C₁₃×#427	C₂²	1	2	yes	complemented
127	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
128	C₂×C₁₃×#106	C₂²	1	2	yes	complemented
129	C₁₃×#416	C₂²	1	2	yes	complemented
130	C₁₃×#416	C₂²	1	2	yes	complemented
131	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
133	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
134	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
142	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
148	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
149	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
150	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
152	C₁₃×C₄⋊Q₈	—	2	1	no	—
153	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
154	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
155	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
156	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
157	C₁₃×#126	—	2	2	no	—
158	C₁₃×#126	—	2	2	no	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	—	2	2	no	—
162	C₁₃×#126	—	2	1	no	—
163	C₁₃×#125	—	2	2	no	—
164	C₁₃×#125	—	2	1	no	—
165	C₁₃×#125	—	2	2	no	—
166	C₁₃×#125	—	2	1	no	—
167	C₁₃×#125	C₂³	1	1	yes	characteristic
168	C₁₃×#125	C₂³	1	2	yes	—
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	—	2	1	no	—
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	2	no	—
173	C₁₃×#124	C₂³	1	1	yes	characteristic
174	C₁₃×#123	—	2	2	no	—
175	C₁₃×#123	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	1	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×C₂²⋊Q₈	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	1	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
195	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	1	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	1	no	—
204	C₁₃×#121	C₂³	1	2	yes	—
205	C₁₃×#121	C₂³	1	1	yes	characteristic
206	C₁₃×#121	C₂³	1	2	yes	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₁₃×#120	—	2	2	no	—
209	C₁₃×#120	—	2	2	no	—
210	C₄×Q₈×C₁₃	—	2	1	no	—
211	C₄×Q₈×C₁₃	—	2	1	no	—
212	C₄×Q₈×C₁₃	—	2	1	no	—
213	C₄×Q₈×C₁₃	—	2	1	no	—
214	C₄×Q₈×C₁₃	—	2	1	no	—
215	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
217	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
218	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
219	C₄×D₄×C₁₃	—	2	1	no	—
220	C₄×D₄×C₁₃	—	2	1	no	—
221	C₄×D₄×C₁₃	—	2	2	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	2	no	—
226	C₄×D₄×C₁₃	—	2	2	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
231	C₄×D₄×C₁₃	D₄	1	2	yes	—
232	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
233	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	C₁₃×#117	—	2	2	no	—
240	C₁₃×#117	—	2	2	no	—
241	C₁₃×#117	—	2	1	no	—
242	C₁₃×#117	—	2	1	no	—
243	C₁₃×#117	—	2	2	no	—
244	C₁₃×#117	—	2	2	no	—
245	C₁₃×#117	—	2	1	no	—
246	C₁₃×#117	—	2	1	no	—
247	C₁₃×#117	C₂³	1	2	yes	—
248	C₁₃×#117	C₂³	1	2	yes	—
249	C₁₃×#117	C₂³	1	2	yes	—
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	2	yes	—
252	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
260	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
261	C₂×C₄²×C₁₃	—	2	2	no	—
262	C₂×C₄²×C₁₃	—	2	1	no	—
263	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
264	C₁₃×#107	C₂³	1	1	yes	characteristic
265	C₁₃×#107	C₂³	1	2	yes	—
266	C₁₃×#107	C₂³	1	2	yes	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	2	yes	—
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	1	yes	characteristic
283	C₁₃×#103	C₂³	1	1	yes	characteristic
284	C₁₃×#103	C₂³	1	2	yes	—
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	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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×C₂²⋊C₈	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	2	yes	—
312	#61703	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
314	C₁₃×#41	—	4	1	no	—
315	C₁₃×#41	—	4	1	no	—
316	C₁₃×#41	—	4	2	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	4	4	no	—
319	C₁₃×#41	—	4	4	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	1	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	4	2	no	—
325	C₂×Q₈×C₁₃	—	4	2	no	—
326	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
327	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₁₃	—	2	4	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	1	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	—	2	2	no	—
336	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
340	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	4	2	no	—
351	C₂²×C₄×C₁₃	—	4	2	no	—
352	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
354	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
356	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
357	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
360	C₁₃×Q₁₆	—	4	1	no	—
361	C₁₃×Q₁₆	—	4	2	no	—
362	C₁₃×SD₁₆	—	4	1	no	—
363	C₁₃×SD₁₆	—	4	2	no	—
364	C₁₃×SD₁₆	—	4	1	no	—
365	C₁₃×D₈	—	4	1	no	—
366	C₂×C₈×C₁₃	—	4	2	no	—
367	C₂×C₈×C₁₃	—	4	2	no	—
368	C₂×C₈×C₁₃	—	4	2	no	—
369	C₂×C₈×C₁₃	—	4	2	no	—
370	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
372	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₁₃×C₄⋊C₄	—	2	1	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	1	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	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	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	—	2	1	no	—
437	C₄²×C₁₃	—	2	2	no	—
438	C₄²×C₁₃	—	2	2	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
447	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
449	#3342	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3340	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3337	C₂×C₁₃	1	2	yes	complemented
452	#3336	C₂×C₁₃	1	2	yes	complemented
453	#3335	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3334	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3303	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3301	C₂×C₁₃	1	2	yes	complemented
458	#3300	C₂×C₁₃	1	2	yes	complemented
459	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3231	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3191	C₂×C₁₃	1	2	yes	complemented
464	#3190	C₂×C₁₃	1	2	yes	complemented
465	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3091	C₂×C₁₃	1	2	yes	complemented
468	C₂×#485	C₂×C₁₃	1	2	yes	complemented
469	#2972	C₂×C₁₃	1	1	yes	characteristic, complemented
470	C₂³×C₁₃	—	2	4	no	—
471	C₂³×C₁₃	—	2	1	no	—
472	C₂³×C₁₃	—	2	1	no	—
473	C₂³×C₁₃	—	4	2	no	—
474	C₂³×C₁₃	—	4	2	no	—
475	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
476	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
478	Q₈×C₁₃	—	2	1	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	4	2	no	—
485	Q₈×C₁₃	—	4	2	no	—
486	Q₈×C₁₃	—	8	1	no	—
487	Q₈×C₁₃	—	8	2	no	—
488	D₄×C₁₃	—	2	4	no	—
489	D₄×C₁₃	—	2	2	no	—
490	D₄×C₁₃	—	2	1	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	4	4	no	—
497	D₄×C₁₃	—	4	4	no	—
498	D₄×C₁₃	—	8	2	no	—
499	D₄×C₁₃	—	8	2	no	—
500	D₄×C₁₃	#135	1	4	yes	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	4	2	no	—
521	C₂×C₄×C₁₃	—	4	1	no	—
522	C₂×C₄×C₁₃	—	4	2	no	—
523	C₂×C₄×C₁₃	—	4	4	no	—
524	C₂×C₄×C₁₃	—	4	4	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	8	1	no	—
528	C₂×C₄×C₁₃	—	8	2	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
534	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
539	C₈×C₁₃	—	2	1	no	—
540	C₈×C₁₃	—	2	1	no	—
541	C₈×C₁₃	—	2	1	no	—
542	C₈×C₁₃	—	2	2	no	—
543	C₈×C₁₃	—	2	2	no	—
544	C₈×C₁₃	—	2	1	no	—
545	#556	C₂²×C₁₃	1	1	yes	characteristic
546	#556	C₂²×C₁₃	1	1	yes	characteristic
547	#555	C₂²×C₁₃	1	1	yes	characteristic
548	#554	—	2	1	no	—
549	#554	C₂²×C₁₃	1	1	yes	characteristic
550	#553	C₂²×C₁₃	1	2	yes	—
551	#552	—	2	1	no	—
552	#552	C₂²×C₁₃	1	2	yes	—
553	#552	C₂²×C₁₃	1	2	yes	—
554	#551	—	2	2	no	—
555	#551	—	2	2	no	—
556	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
557	#548	C₂²×C₁₃	1	2	yes	—
558	#547	C₂²×C₁₃	1	1	yes	characteristic
559	#547	C₂²×C₁₃	1	1	yes	characteristic
560	#547	C₂²×C₁₃	1	1	yes	characteristic
561	#546	—	2	1	no	—
562	#546	—	2	1	no	—
563	#542	—	2	1	no	—
564	#539	—	2	2	no	—
565	#533	C₂²×C₁₃	1	1	yes	characteristic
566	#533	C₂²×C₁₃	1	1	yes	characteristic
567	#529	—	2	2	no	—
568	#529	—	2	1	no	—
569	#529	C₂²×C₁₃	1	1	yes	characteristic
570	#525	C₂²×C₁₃	1	2	yes	—
571	#525	C₂²×C₁₃	1	2	yes	—
572	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
573	#520	—	2	1	no	—
574	C₄×#41	—	2	1	no	—
575	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
576	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
577	C₂×#117	C₂²×C₁₃	1	2	yes	—
578	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
579	#499	C₂²×C₁₃	1	2	yes	complemented
580	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
581	#488	C₂²×C₁₃	1	2	yes	complemented
582	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#485	C₂²×C₁₃	1	1	yes	characteristic
585	#485	C₂²×C₁₃	1	2	yes	—
586	#485	C₂²×C₁₃	1	2	yes	—
587	#485	C₂²×C₁₃	1	2	yes	—
588	#485	C₂²×C₁₃	1	2	yes	—
589	#485	C₂²×C₁₃	1	2	yes	complemented
590	#485	C₂²×C₁₃	1	2	yes	complemented
591	#485	C₂²×C₁₃	1	2	yes	complemented
592	#485	C₂²×C₁₃	1	2	yes	complemented
593	#485	C₂²×C₁₃	1	2	yes	complemented
594	#484	C₂²×C₁₃	1	2	yes	complemented
595	#483	C₂²×C₁₃	1	2	yes	complemented
596	#483	C₂²×C₁₃	1	2	yes	complemented
597	#482	C₂²×C₁₃	1	1	yes	characteristic
598	#482	C₂²×C₁₃	1	2	yes	—
599	#482	C₂²×C₁₃	1	2	yes	complemented
600	#481	C₂²×C₁₃	1	2	yes	complemented
601	#480	C₂²×C₁₃	1	2	yes	complemented
602	#480	C₂²×C₁₃	1	2	yes	complemented
603	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#479	C₂²×C₁₃	1	2	yes	complemented
605	#479	C₂²×C₁₃	1	2	yes	complemented
606	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
609	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
610	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
613	#467	C₂²×C₁₃	1	2	yes	complemented
614	#467	C₂²×C₁₃	1	2	yes	complemented
615	#467	C₂²×C₁₃	1	2	yes	complemented
616	#466	C₂²×C₁₃	1	2	yes	complemented
617	#465	C₂²×C₁₃	1	2	yes	complemented
618	#465	C₂²×C₁₃	1	2	yes	complemented
619	#465	C₂²×C₁₃	1	2	yes	complemented
620	#465	C₂²×C₁₃	1	2	yes	complemented
621	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
623	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#452	C₂²×C₁₃	1	1	yes	characteristic
626	#452	C₂²×C₁₃	1	2	yes	—
627	#452	C₂²×C₁₃	1	2	yes	complemented
628	#451	C₂²×C₁₃	1	2	yes	complemented
629	#449	C₂²×C₁₃	1	1	yes	characteristic
630	#449	C₂²×C₁₃	1	2	yes	complemented
631	#448	C₂²×C₁₃	1	2	yes	complemented
632	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
633	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
636	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
639	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
640	C₈×D₄	C₂²×C₁₃	1	2	yes	—
641	C₈×D₄	C₂²×C₁₃	1	2	yes	—
642	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
643	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
644	#431	C₂²×C₁₃	1	1	yes	characteristic
645	#431	C₂²×C₁₃	1	1	yes	characteristic
646	#427	C₂²×C₁₃	1	2	yes	complemented
647	#427	C₂²×C₁₃	1	2	yes	complemented
648	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
649	C₂×#106	C₂²×C₁₃	1	2	yes	complemented
650	#416	C₂²×C₁₃	1	2	yes	complemented
651	#416	C₂²×C₁₃	1	2	yes	complemented
652	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
653	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
654	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
655	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	—
656	C₂²×C₁₃	—	2	2	no	—
657	C₂²×C₁₃	—	2	2	no	—
658	C₂²×C₁₃	—	2	1	no	—
659	C₂²×C₁₃	—	2	2	no	—
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	4	1	no	—
665	C₂²×C₁₃	—	4	1	no	—
666	C₂²×C₁₃	—	4	1	no	—
667	C₂²×C₁₃	—	4	1	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	8	4	no	—
671	C₂²×C₁₃	C₂×#135	1	4	yes	—
672	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
673	C₄×C₁₃	—	2	1	no	—
674	C₄×C₁₃	—	2	1	no	—
675	C₄×C₁₃	—	2	1	no	—
676	C₄×C₁₃	—	2	2	no	—
677	C₄×C₁₃	—	2	2	no	—
678	C₄×C₁₃	—	2	1	no	—
679	C₄×C₁₃	—	4	1	no	—
680	C₄×C₁₃	—	4	2	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	—	4	2	no	—
684	C₄×C₁₃	—	4	1	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	2	no	—
688	C₄×C₁₃	—	4	2	no	—
689	C₄×C₁₃	C₂×#135	1	2	yes	—
690	C₄×C₁₃	#585	1	1	yes	characteristic
691	C₄×C₁₃	#585	1	1	yes	characteristic
692	C₂×#41	—	2	1	no	—
693	C₂×#41	—	2	1	no	—
694	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×#41	C₂³×C₁₃	1	2	yes	—
696	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
697	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
698	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
699	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
700	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
701	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
705	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
706	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
707	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
708	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
709	C₄⋊Q₈	—	2	1	no	—
710	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
711	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
714	#126	—	2	2	no	—
715	#126	—	2	2	no	—
716	#126	—	2	2	no	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#126	—	2	1	no	—
720	#125	—	2	2	no	—
721	#125	—	2	1	no	—
722	#125	—	2	2	no	—
723	#125	—	2	1	no	—
724	#125	C₂³×C₁₃	1	1	yes	characteristic
725	#125	C₂³×C₁₃	1	2	yes	—
726	#124	—	2	1	no	—
727	#124	—	2	1	no	—
728	#124	—	2	2	no	—
729	#124	—	2	2	no	—
730	#124	C₂³×C₁₃	1	1	yes	characteristic
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	—	2	1	no	—
736	#123	—	2	2	no	—
737	#123	—	2	2	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	2	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
751	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
752	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
753	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
757	#121	—	2	2	no	—
758	#121	—	2	1	no	—
759	#121	—	2	2	no	—
760	#121	—	2	1	no	—
761	#121	C₂³×C₁₃	1	1	yes	characteristic
762	#121	C₂³×C₁₃	1	2	yes	—
763	#121	C₂³×C₁₃	1	2	yes	—
764	#121	C₂³×C₁₃	1	2	yes	—
765	#120	—	2	2	no	—
766	#120	—	2	2	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	1	no	—
769	C₄×Q₈	—	2	1	no	—
770	C₄×Q₈	—	2	1	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
776	C₄×D₄	—	2	1	no	—
777	C₄×D₄	—	2	1	no	—
778	C₄×D₄	—	2	2	no	—
779	C₄×D₄	—	2	1	no	—
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	2	no	—
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	—	2	2	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
788	C₄×D₄	D₄×C₁₃	1	2	yes	—
789	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
790	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
791	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
792	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
794	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×D₄	C₂³×C₁₃	1	2	yes	—
796	#117	—	2	2	no	—
797	#117	—	2	2	no	—
798	#117	—	2	1	no	—
799	#117	—	2	1	no	—
800	#117	—	2	2	no	—
801	#117	—	2	2	no	—
802	#117	—	2	1	no	—
803	#117	—	2	1	no	—
804	#117	C₂³×C₁₃	1	1	yes	characteristic
805	#117	C₂³×C₁₃	1	2	yes	—
806	#117	C₂³×C₁₃	1	2	yes	—
807	#117	C₂³×C₁₃	1	2	yes	—
808	#117	C₂³×C₁₃	1	2	yes	—
809	C₂×C₄⋊C₄	—	2	2	no	—
810	C₂×C₄⋊C₄	—	2	1	no	—
811	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
812	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
813	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
814	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
815	C₂×C₂²⋊C₄	—	2	2	no	—
816	C₂×C₂²⋊C₄	—	2	2	no	—
817	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
818	C₂×C₄²	—	2	2	no	—
819	C₂×C₄²	—	2	1	no	—
820	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
821	#107	C₂³×C₁₃	1	1	yes	characteristic
822	#107	C₂³×C₁₃	1	2	yes	—
823	#107	C₂³×C₁₃	1	2	yes	—
824	#107	C₂³×C₁₃	1	2	yes	—
825	#107	C₂³×C₁₃	1	1	yes	characteristic
826	#107	C₂³×C₁₃	1	2	yes	—
827	#107	C₂³×C₁₃	1	2	yes	—
828	#106	C₂³×C₁₃	1	1	yes	characteristic
829	#106	C₂³×C₁₃	1	2	yes	—
830	#106	C₂³×C₁₃	1	2	yes	—
831	#106	C₂³×C₁₃	1	2	yes	—
832	#106	C₂³×C₁₃	1	1	yes	characteristic
833	#106	C₂³×C₁₃	1	2	yes	—
834	#106	C₂³×C₁₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
836	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
837	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
839	#103	C₂³×C₁₃	1	1	yes	characteristic
840	#103	C₂³×C₁₃	1	1	yes	characteristic
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#103	C₂³×C₁₃	1	2	yes	—
847	#103	C₂³×C₁₃	1	2	yes	—
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	1	yes	characteristic
850	#103	C₂³×C₁₃	1	1	yes	characteristic
851	#103	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	1	yes	characteristic
853	#102	C₂³×C₁₃	1	1	yes	characteristic
854	#102	C₂³×C₁₃	1	2	yes	—
855	#102	C₂³×C₁₃	1	2	yes	—
856	#102	C₂³×C₁₃	1	1	yes	characteristic
857	#102	C₂³×C₁₃	1	1	yes	characteristic
858	#102	C₂³×C₁₃	1	2	yes	—
859	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
864	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
865	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
866	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₁₃	1	2	yes	—
869	C₂×C₁₃	—	2	4	no	—
870	C₂×C₁₃	—	4	2	no	—
871	C₂×C₁₃	—	4	1	no	—
872	C₂×C₁₃	—	8	1	no	—
873	C₂×C₁₃	—	8	1	no	—
874	C₂×C₁₃	#3485	1	1	yes	characteristic
875	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
876	C₂×C₁₃	#3586	1	1	yes	characteristic
877	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
878	#41	—	4	1	no	—
879	#41	—	4	1	no	—
880	#41	—	4	2	no	—
881	#41	—	4	2	no	—
882	#41	—	4	4	no	—
883	#41	—	4	4	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	4	2	no	—
889	C₂×Q₈	—	4	2	no	—
890	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
891	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
892	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
893	C₂×D₄	—	2	4	no	—
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
901	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
902	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
903	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
904	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	4	2	no	—
915	C₂²×C₄	—	4	2	no	—
916	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
917	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
918	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
919	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
920	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
921	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
923	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
924	Q₁₆	—	4	1	no	—
925	Q₁₆	—	4	2	no	—
926	SD₁₆	—	4	1	no	—
927	SD₁₆	—	4	2	no	—
928	SD₁₆	—	4	1	no	—
929	D₈	—	4	1	no	—
930	C₂×C₈	—	4	2	no	—
931	C₂×C₈	—	4	2	no	—
932	C₂×C₈	—	4	2	no	—
933	C₂×C₈	—	4	2	no	—
934	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
936	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
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	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
965	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
966	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
968	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₂²⋊C₄	—	2	1	no	—
974	C₂²⋊C₄	—	2	1	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
995	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	2	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1010	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1011	C₁₃	#61703	1	1	yes	characteristic, direct product factor, Sylow
1012	C₂³	—	2	4	no	—
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	—	4	2	no	—
1016	C₂³	—	4	2	no	—
1017	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1018	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1019	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1020	Q₈	—	2	1	no	—
1021	Q₈	—	2	1	no	—
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	1	no	—
1024	Q₈	—	2	1	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	4	2	no	—
1027	Q₈	—	4	2	no	—
1028	Q₈	—	8	2	no	—
1029	Q₈	—	8	1	no	—
1030	D₄	—	2	4	no	—
1031	D₄	—	2	2	no	—
1032	D₄	—	2	1	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	2	1	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	4	no	—
1039	D₄	—	4	4	no	—
1040	D₄	—	8	2	no	—
1041	D₄	—	8	2	no	—
1042	D₄	C₁₃×#135	1	4	yes	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	2	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	4	4	no	—
1066	C₂×C₄	—	4	4	no	—
1067	C₂×C₄	—	4	2	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	8	1	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	—	8	2	no	—
1073	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1077	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1078	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1079	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1080	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1081	C₈	—	2	1	no	—
1082	C₈	—	2	1	no	—
1083	C₈	—	2	1	no	—
1084	C₈	—	2	2	no	—
1085	C₈	—	2	2	no	—
1086	C₈	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	1	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	1	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	—	4	1	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	8	4	no	—
1102	C₂²	C₂×C₁₃×#135	1	4	yes	—
1103	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	1	no	—
1108	C₄	—	2	2	no	—
1109	C₄	—	2	2	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	2	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	2	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	C₂×C₁₃×#135	1	2	yes	—
1121	C₄	C₁₃×#585	1	1	yes	characteristic
1122	C₄	C₁₃×#585	1	1	yes	characteristic
1123	C₂	—	2	4	no	—
1124	C₂	—	4	1	no	—
1125	C₂	—	4	2	no	—
1126	C₂	—	8	1	no	—
1127	C₂	—	8	1	no	—
1128	C₂	C₁₃×#3485	1	1	yes	characteristic
1129	C₂	C₂²×C₁₃×#135	1	1	yes	characteristic
1130	C₂	C₁₃×#3586	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3520	C₂	semidirect
2. C₁₃×#3475	C₂	semidirect
3. C₁₃×#3342	C₂	semidirect
4. C₁₃×#3340	C₂	semidirect
5. C₁₃×#3337	C₂	semidirect
6. C₁₃×#3336	C₂	semidirect
7. C₁₃×#3335	C₂	semidirect
8. C₁₃×#3334	C₂	semidirect
9. C₁₃×#3303	C₂	semidirect
10. C₁₃×#3302	C₂	semidirect
11. C₁₃×#3301	C₂	semidirect
12. C₁₃×#3300	C₂	semidirect
13. C₁₃×#3299	C₂	semidirect
14. C₁₃×#3298	C₂	semidirect
15. C₁₃×#3233	C₂	semidirect
16. C₁₃×#3231	C₂	semidirect
17. C₁₃×#3191	C₂	semidirect
18. C₁₃×#3190	C₂	semidirect
19. C₁₃×#3107	C₂	semidirect
20. C₁₃×#3102	C₂	semidirect
21. C₁₃×#3091	C₂	semidirect
22. C₂×C₁₃×#485	C₂	semidirect
23. C₁₃×#2972	C₂	semidirect
57. C₁₃×#500	C₂²	semidirect
58. C₁₃×#499	C₂²	semidirect
59. C₁₃×#498	C₂²	semidirect
60. C₁₃×#488	C₂²	semidirect
61. C₁₃×#487	C₂²	semidirect
62. C₁₃×#487	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
69. C₁₃×#485	C₂²	semidirect
70. C₁₃×#485	C₂²	semidirect
71. C₁₃×#485	C₂²	semidirect
72. C₁₃×#485	C₂²	semidirect
73. C₁₃×#484	C₂²	semidirect
74. C₁₃×#483	C₂²	semidirect
75. C₁₃×#483	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#480	C₂²	semidirect
82. C₁₃×#479	C₂²	semidirect
83. C₁₃×#479	C₂²	semidirect
84. C₁₃×#479	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#477	C₂²	semidirect
87. C₁₃×#476	C₂²	semidirect
88. C₁₃×#475	C₂²	semidirect
89. C₁₃×#475	C₂²	semidirect
90. C₁₃×#474	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
92. C₁₃×#467	C₂²	semidirect
93. C₁₃×#467	C₂²	semidirect
94. C₁₃×#467	C₂²	semidirect
95. C₁₃×#466	C₂²	semidirect
96. C₁₃×#465	C₂²	semidirect
97. C₁₃×#465	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
100. C₁₃×#464	C₂²	semidirect
101. C₁₃×#463	C₂²	semidirect
102. C₁₃×#462	C₂²	semidirect
103. C₁₃×#461	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
107. C₁₃×#451	C₂²	semidirect
109. C₁₃×#449	C₂²	semidirect
110. C₁₃×#448	C₂²	semidirect
111. C₄×C₁₃×Q₁₆	C₂²	semidirect
112. C₄×C₁₃×Q₁₆	C₂²	semidirect
113. C₄×C₁₃×SD₁₆	C₂²	semidirect
114. C₄×C₁₃×SD₁₆	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
116. C₄×C₁₃×D₈	C₂²	semidirect
125. C₁₃×#427	C₂²	semidirect
126. C₁₃×#427	C₂²	semidirect
127. C₂×C₁₃×#107	C₂²	semidirect
128. C₂×C₁₃×#106	C₂²	semidirect
129. C₁₃×#416	C₂²	semidirect
130. C₁₃×#416	C₂²	semidirect
131. C₂×C₁₃×#103	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
312. #61703	C₁₃	direct (N × H)
447. #3520	C₂×C₁₃	semidirect
448. #3475	C₂×C₁₃	semidirect
449. #3342	C₂×C₁₃	semidirect
450. #3340	C₂×C₁₃	semidirect
451. #3337	C₂×C₁₃	semidirect
452. #3336	C₂×C₁₃	semidirect
453. #3335	C₂×C₁₃	semidirect
454. #3334	C₂×C₁₃	semidirect
455. #3303	C₂×C₁₃	semidirect
456. #3302	C₂×C₁₃	semidirect
457. #3301	C₂×C₁₃	semidirect
458. #3300	C₂×C₁₃	semidirect
459. #3299	C₂×C₁₃	semidirect
460. #3298	C₂×C₁₃	semidirect
461. #3233	C₂×C₁₃	semidirect
462. #3231	C₂×C₁₃	semidirect
463. #3191	C₂×C₁₃	semidirect
464. #3190	C₂×C₁₃	semidirect
465. #3107	C₂×C₁₃	semidirect
466. #3102	C₂×C₁₃	semidirect
467. #3091	C₂×C₁₃	semidirect
468. C₂×#485	C₂×C₁₃	semidirect
469. #2972	C₂×C₁₃	semidirect
578. #500	C₂²×C₁₃	semidirect
579. #499	C₂²×C₁₃	semidirect
580. #498	C₂²×C₁₃	semidirect
581. #488	C₂²×C₁₃	semidirect
582. #487	C₂²×C₁₃	semidirect
583. #487	C₂²×C₁₃	semidirect
589. #485	C₂²×C₁₃	semidirect
590. #485	C₂²×C₁₃	semidirect
591. #485	C₂²×C₁₃	semidirect
592. #485	C₂²×C₁₃	semidirect
593. #485	C₂²×C₁₃	semidirect
594. #484	C₂²×C₁₃	semidirect
595. #483	C₂²×C₁₃	semidirect
596. #483	C₂²×C₁₃	semidirect
599. #482	C₂²×C₁₃	semidirect
600. #481	C₂²×C₁₃	semidirect
601. #480	C₂²×C₁₃	semidirect
602. #480	C₂²×C₁₃	semidirect
603. #479	C₂²×C₁₃	semidirect
604. #479	C₂²×C₁₃	semidirect
605. #479	C₂²×C₁₃	semidirect
606. #478	C₂²×C₁₃	semidirect
607. #477	C₂²×C₁₃	semidirect
608. #476	C₂²×C₁₃	semidirect
609. #475	C₂²×C₁₃	semidirect
610. #475	C₂²×C₁₃	semidirect
611. #474	C₂²×C₁₃	semidirect
612. #474	C₂²×C₁₃	semidirect
613. #467	C₂²×C₁₃	semidirect
614. #467	C₂²×C₁₃	semidirect
615. #467	C₂²×C₁₃	semidirect
616. #466	C₂²×C₁₃	semidirect
617. #465	C₂²×C₁₃	semidirect
618. #465	C₂²×C₁₃	semidirect
619. #465	C₂²×C₁₃	semidirect
620. #465	C₂²×C₁₃	semidirect
621. #464	C₂²×C₁₃	semidirect
622. #463	C₂²×C₁₃	semidirect
623. #462	C₂²×C₁₃	semidirect
624. #461	C₂²×C₁₃	semidirect
627. #452	C₂²×C₁₃	semidirect
628. #451	C₂²×C₁₃	semidirect
630. #449	C₂²×C₁₃	semidirect
631. #448	C₂²×C₁₃	semidirect
632. C₄×Q₁₆	C₂²×C₁₃	semidirect
633. C₄×Q₁₆	C₂²×C₁₃	semidirect
634. C₄×SD₁₆	C₂²×C₁₃	semidirect
635. C₄×SD₁₆	C₂²×C₁₃	semidirect
636. C₄×SD₁₆	C₂²×C₁₃	semidirect
637. C₄×D₈	C₂²×C₁₃	semidirect
646. #427	C₂²×C₁₃	semidirect
647. #427	C₂²×C₁₃	semidirect
648. C₂×#107	C₂²×C₁₃	semidirect
649. C₂×#106	C₂²×C₁₃	semidirect
650. #416	C₂²×C₁₃	semidirect
651. #416	C₂²×C₁₃	semidirect
652. C₂×#103	C₂²×C₁₃	semidirect
653. C₂×#103	C₂²×C₁₃	semidirect
1011. C₁₃	#61703	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×#3520	2
C₁₃×#3475	2
C₁₃×#3342	2
C₁₃×#3340	2
C₁₃×#3337	2
C₁₃×#3336	2
C₁₃×#3335	2
C₁₃×#3334	2
C₁₃×#3303	2
C₁₃×#3302	2
C₁₃×#3301	2
C₁₃×#3300	2
C₁₃×#3299	2
C₁₃×#3298	2
C₁₃×#3233	2
C₁₃×#3231	2
C₁₃×#3191	2
C₁₃×#3190	2
C₁₃×#3107	2
C₁₃×#3102	2
C₁₃×#3091	2
C₂×C₁₃×#485	2
C₁₃×#2972	2
#61703	13

Subgroups — C13×#61703 #15748042

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61703 #15748042