Subgroups — C₁₃×#62877 #15749216

Order 3328.

6394 conjugacy classes of subgroups.

The subgroup lattice has 1368 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3563	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3559	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3555	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3553	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3547	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3544	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3541	C₂	1	8	yes	maximal, complemented
12	C₁₃×#3512	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3511	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3504	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3503	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3492	C₂	1	2	yes	maximal, complemented
19	C₂×C₁₃×#544	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3455	C₂	1	2	yes	maximal, complemented
21	C₁₃×#564	C₂²	1	4	yes	complemented
22	C₁₃×#563	C₂²	1	8	yes	—
23	C₁₃×#563	C₂²	1	8	yes	—
24	C₁₃×#563	C₂²	1	4	yes	complemented
25	C₁₃×#563	C₂²	1	8	yes	complemented
26	C₁₃×#563	C₂²	1	8	yes	complemented
27	C₁₃×#563	C₂²	1	4	yes	complemented
28	C₁₃×#562	C₂²	1	8	yes	—
29	C₁₃×#562	C₂²	1	8	yes	—
30	C₁₃×#562	C₂²	1	4	yes	complemented
31	Q₈²×C₁₃	C₂²	1	4	yes	complemented
32	C₁₃×#557	C₂²	1	4	yes	complemented
33	C₁₃×#557	C₂²	1	4	yes	complemented
34	C₁₃×#557	C₂²	1	4	yes	complemented
35	C₁₃×#557	C₂²	1	4	yes	complemented
36	C₁₃×#556	C₂²	1	8	yes	—
37	C₁₃×#556	C₂²	1	4	yes	—
38	C₁₃×#556	C₂²	1	4	yes	—
39	C₁₃×#556	C₂²	1	4	yes	complemented
40	C₁₃×#556	C₂²	1	4	yes	complemented
41	C₁₃×#555	C₂²	1	4	yes	—
42	C₁₃×#555	C₂²	1	4	yes	—
43	C₁₃×#555	C₂²	1	4	yes	complemented
44	C₁₃×#554	C₂²	1	8	yes	—
45	C₁₃×#554	C₂²	1	8	yes	—
46	C₁₃×#554	C₂²	1	8	yes	—
47	C₁₃×#554	C₂²	1	4	yes	—
48	C₁₃×#554	C₂²	1	4	yes	—
49	C₁₃×#554	C₂²	1	4	yes	complemented
50	C₁₃×#554	C₂²	1	4	yes	complemented
51	C₁₃×#554	C₂²	1	4	yes	complemented
52	C₁₃×#554	C₂²	1	4	yes	complemented
53	C₁₃×#553	C₂²	1	8	yes	—
54	C₁₃×#553	C₂²	1	8	yes	—
55	C₁₃×#553	C₂²	1	8	yes	—
56	C₁₃×#553	C₂²	1	4	yes	—
57	C₁₃×#553	C₂²	1	4	yes	—
58	C₁₃×#553	C₂²	1	4	yes	—
59	C₁₃×#553	C₂²	1	4	yes	—
60	C₁₃×#553	C₂²	1	4	yes	complemented
61	C₁₃×#553	C₂²	1	4	yes	complemented
62	C₁₃×#552	C₂²	1	8	yes	—
63	C₁₃×#552	C₂²	1	4	yes	—
64	C₁₃×#552	C₂²	1	4	yes	—
65	C₁₃×#552	C₂²	1	4	yes	—
66	C₁₃×#552	C₂²	1	4	yes	—
67	C₁₃×#552	C₂²	1	8	yes	complemented
68	C₁₃×#552	C₂²	1	4	yes	complemented
69	C₁₃×#552	C₂²	1	8	yes	complemented
70	C₁₃×#552	C₂²	1	4	yes	complemented
71	D₄×Q₈×C₁₃	C₂²	1	8	yes	—
72	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
73	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
74	C₁₃×#548	C₂²	1	8	yes	—
75	C₁₃×#548	C₂²	1	8	yes	—
76	C₁₃×#547	C₂²	1	8	yes	—
77	C₁₃×#547	C₂²	1	4	yes	—
78	C₁₃×#547	C₂²	1	4	yes	—
79	C₁₃×#547	C₂²	1	4	yes	complemented
80	C₁₃×#547	C₂²	1	4	yes	complemented
81	C₁₃×#544	C₂²	1	4	yes	—
82	C₁₃×#544	C₂²	1	4	yes	—
83	C₁₃×#544	C₂²	1	4	yes	—
84	C₁₃×#544	C₂²	1	4	yes	—
85	C₁₃×#544	C₂²	1	2	yes	—
86	C₁₃×#544	C₂²	1	1	yes	characteristic
87	C₁₃×#544	C₂²	1	1	yes	characteristic
88	C₁₃×#544	C₂²	1	8	yes	complemented
89	C₁₃×#544	C₂²	1	4	yes	complemented
90	C₁₃×#544	C₂²	1	4	yes	complemented
91	C₁₃×#544	C₂²	1	4	yes	complemented
92	C₁₃×#544	C₂²	1	4	yes	complemented
93	C₁₃×#542	C₂²	1	8	yes	—
94	C₁₃×#542	C₂²	1	8	yes	—
95	C₁₃×#542	C₂²	1	8	yes	—
96	C₁₃×#542	C₂²	1	2	yes	—
97	C₁₃×#542	C₂²	1	2	yes	—
98	C₁₃×#542	C₂²	1	2	yes	—
99	C₁₃×#542	C₂²	1	2	yes	—
100	C₁₃×#542	C₂²	1	4	yes	complemented
101	C₁₃×#542	C₂²	1	8	yes	complemented
102	C₁₃×#542	C₂²	1	4	yes	complemented
103	C₁₃×#541	C₂²	1	8	yes	—
104	C₁₃×#541	C₂²	1	2	yes	—
105	C₁₃×#541	C₂²	1	2	yes	—
106	C₁₃×#541	C₂²	1	8	yes	complemented
107	C₁₃×#541	C₂²	1	8	yes	complemented
108	C₁₃×#541	C₂²	1	8	yes	complemented
109	C₁₃×#541	C₂²	1	4	yes	complemented
110	C₁₃×#540	C₂²	1	2	yes	—
111	C₁₃×#540	C₂²	1	2	yes	—
112	C₁₃×#540	C₂²	1	4	yes	complemented
113	C₁₃×#539	C₂²	1	8	yes	—
114	C₁₃×#539	C₂²	1	8	yes	—
115	C₁₃×#539	C₂²	1	4	yes	—
116	C₁₃×#539	C₂²	1	8	yes	—
117	C₁₃×#539	C₂²	1	4	yes	—
118	C₁₃×#539	C₂²	1	8	yes	complemented
119	C₁₃×#539	C₂²	1	8	yes	complemented
120	C₁₃×#538	C₂²	1	4	yes	—
121	C₁₃×#538	C₂²	1	4	yes	—
122	C₁₃×#538	C₂²	1	4	yes	—
123	C₁₃×#538	C₂²	1	4	yes	—
124	C₁₃×#537	C₂²	1	8	yes	—
125	C₁₃×#537	C₂²	1	2	yes	—
126	C₁₃×#537	C₂²	1	1	yes	characteristic
127	C₁₃×#537	C₂²	1	1	yes	characteristic
128	C₁₃×#536	C₂²	1	8	yes	—
129	C₁₃×#536	C₂²	1	8	yes	complemented
130	C₁₃×#533	C₂²	1	2	yes	—
131	C₁₃×#533	C₂²	1	4	yes	complemented
132	C₁₃×#533	C₂²	1	4	yes	complemented
133	C₁₃×#533	C₂²	1	4	yes	complemented
134	C₁₃×#532	C₂²	1	2	yes	—
135	C₁₃×#532	C₂²	1	4	yes	complemented
136	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
137	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
138	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
139	C₁₃×#529	C₂²	1	4	yes	—
140	C₁₃×#529	C₂²	1	4	yes	—
141	C₁₃×#529	C₂²	1	4	yes	—
142	C₁₃×#529	C₂²	1	4	yes	—
143	C₁₃×#529	C₂²	1	4	yes	—
144	C₁₃×#529	C₂²	1	4	yes	—
145	C₁₃×#529	C₂²	1	4	yes	complemented
146	C₁₃×#529	C₂²	1	4	yes	complemented
147	C₂×C₁₃×#125	C₂²	1	2	yes	—
148	C₂×C₁₃×#125	C₂²	1	2	yes	—
149	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
150	C₁₃×#525	C₂²	1	8	yes	—
151	C₁₃×#525	C₂²	1	2	yes	—
152	C₁₃×#525	C₂²	1	2	yes	—
153	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
154	C₁₃×#520	C₂²	1	2	yes	—
155	C₁₃×#520	C₂²	1	2	yes	—
156	C₁₃×#520	C₂²	1	2	yes	—
157	C₁₃×#520	C₂²	1	2	yes	—
158	C₄×C₁₃×#41	C₂²	1	2	yes	—
159	C₄×C₁₃×#41	C₂²	1	2	yes	—
160	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
161	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
162	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
163	C₂×C₁₃×#41	C₂³	1	2	yes	—
164	C₂×C₁₃×#41	C₂³	1	2	yes	—
165	C₂×C₁₃×#41	C₂³	1	8	yes	—
166	C₂×C₁₃×#41	C₂³	1	8	yes	—
167	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
168	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
169	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
171	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
172	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
173	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
174	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
175	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
176	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
177	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
178	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
179	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
180	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
181	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
182	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
183	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
184	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
185	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
186	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
187	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
188	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
189	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
190	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
191	C₁₃×#127	C₂³	1	2	yes	—
192	C₁₃×#126	C₂³	1	4	yes	—
193	C₁₃×#126	C₂³	1	4	yes	—
194	C₁₃×#126	C₂³	1	4	yes	—
195	C₁₃×#126	C₂³	1	4	yes	—
196	C₁₃×#126	C₂³	1	4	yes	—
197	C₁₃×#126	C₂³	1	4	yes	—
198	C₁₃×#126	C₂³	1	4	yes	—
199	C₁₃×#126	C₂³	1	4	yes	—
200	C₁₃×#126	C₂³	1	8	yes	—
201	C₁₃×#126	C₂³	1	8	yes	—
202	C₁₃×#126	C₂³	1	8	yes	—
203	C₁₃×#126	C₂³	1	8	yes	—
204	C₁₃×#126	C₂³	1	8	yes	—
205	C₁₃×#126	C₂³	1	8	yes	—
206	C₁₃×#126	C₂³	1	8	yes	—
207	C₁₃×#126	C₂³	1	8	yes	—
208	C₁₃×#126	C₂³	1	8	yes	—
209	C₁₃×#126	C₂³	1	8	yes	—
210	C₁₃×#126	C₂³	1	8	yes	—
211	C₁₃×#126	C₂³	1	8	yes	—
212	C₁₃×#125	C₂³	1	4	yes	—
213	C₁₃×#125	C₂³	1	4	yes	—
214	C₁₃×#125	C₂³	1	8	yes	—
215	C₁₃×#125	C₂³	1	4	yes	—
216	C₁₃×#125	C₂³	1	4	yes	—
217	C₁₃×#125	C₂³	1	4	yes	—
218	C₁₃×#125	C₂³	1	4	yes	—
219	C₁₃×#125	C₂³	1	2	yes	—
220	C₁₃×#125	C₂³	1	8	yes	—
221	C₁₃×#125	C₂³	1	8	yes	—
222	C₁₃×#125	C₂³	1	4	yes	—
223	C₁₃×#125	C₂³	1	4	yes	—
224	C₁₃×#125	C₂³	1	4	yes	—
225	C₁₃×#125	C₂³	1	4	yes	—
226	C₁₃×#125	C₂³	1	4	yes	—
227	C₁₃×#125	C₂³	1	4	yes	—
228	C₁₃×#125	C₂³	1	4	yes	—
229	C₁₃×#125	C₂³	1	4	yes	—
230	C₁₃×#125	C₂³	1	2	yes	—
231	C₁₃×#125	C₂³	1	8	yes	—
232	C₁₃×#125	C₂³	1	4	yes	—
233	C₁₃×#125	C₂³	1	4	yes	—
234	C₁₃×#125	C₂³	1	8	yes	—
235	C₁₃×#125	C₂³	1	8	yes	—
236	C₁₃×#125	C₂³	1	8	yes	—
237	C₁₃×#125	C₂³	1	8	yes	—
238	C₁₃×#125	C₂³	1	8	yes	—
239	C₁₃×#125	C₂³	1	8	yes	—
240	C₁₃×#125	C₂³	1	8	yes	—
241	C₁₃×#125	C₂³	1	8	yes	—
242	C₁₃×#124	C₂³	1	4	yes	—
243	C₁₃×#124	C₂³	1	4	yes	—
244	C₁₃×#124	C₂³	1	4	yes	—
245	C₁₃×#124	C₂³	1	4	yes	—
246	C₁₃×#124	C₂³	1	4	yes	—
247	C₁₃×#124	C₂³	1	4	yes	—
248	C₁₃×#124	C₂³	1	2	yes	—
249	C₁₃×#124	C₂³	1	2	yes	—
250	C₁₃×#124	C₂³	1	8	yes	—
251	C₁₃×#124	C₂³	1	8	yes	—
252	C₁₃×#124	C₂³	1	8	yes	—
253	C₁₃×#124	C₂³	1	8	yes	—
254	C₁₃×#124	C₂³	1	8	yes	—
255	C₁₃×#123	C₂³	1	4	yes	—
256	C₁₃×#123	C₂³	1	4	yes	—
257	C₁₃×#123	C₂³	1	8	yes	—
258	C₁₃×#123	C₂³	1	8	yes	—
259	C₁₃×#123	C₂³	1	4	yes	—
260	C₁₃×#123	C₂³	1	4	yes	—
261	C₁₃×#123	C₂³	1	4	yes	—
262	C₁₃×#123	C₂³	1	4	yes	—
263	C₁₃×#123	C₂³	1	4	yes	—
264	C₁₃×#123	C₂³	1	4	yes	—
265	C₁₃×#123	C₂³	1	4	yes	—
266	C₁₃×#123	C₂³	1	4	yes	—
267	C₁₃×#123	C₂³	1	8	yes	—
268	C₁₃×#123	C₂³	1	8	yes	—
269	C₁₃×#123	C₂³	1	8	yes	—
270	C₁₃×#123	C₂³	1	8	yes	—
271	C₁₃×#123	C₂³	1	8	yes	—
272	C₁₃×#123	C₂³	1	8	yes	—
273	C₁₃×#123	C₂³	1	8	yes	—
274	C₁₃×#123	C₂³	1	8	yes	—
275	C₁₃×#123	C₂³	1	8	yes	—
276	C₁₃×#123	C₂³	1	8	yes	—
277	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
278	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
279	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
280	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
281	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
282	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
283	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
284	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
285	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
286	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
287	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
288	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
289	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
290	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
291	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
292	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
293	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
294	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
295	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
296	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
297	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
298	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
299	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
300	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
304	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
307	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
308	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
309	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
310	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
311	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
312	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
313	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
314	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
316	C₁₃×#121	C₂³	1	8	yes	—
317	C₁₃×#121	C₂³	1	8	yes	—
318	C₁₃×#121	C₂³	1	2	yes	—
319	C₁₃×#121	C₂³	1	2	yes	—
320	C₁₃×#121	C₂³	1	2	yes	—
321	C₁₃×#121	C₂³	1	2	yes	—
322	C₁₃×#121	C₂³	1	4	yes	—
323	C₁₃×#121	C₂³	1	4	yes	—
324	C₁₃×#121	C₂³	1	4	yes	—
325	C₁₃×#121	C₂³	1	4	yes	—
326	C₁₃×#121	C₂³	1	4	yes	—
327	C₁₃×#121	C₂³	1	4	yes	—
328	C₁₃×#121	C₂³	1	4	yes	—
329	C₁₃×#121	C₂³	1	4	yes	—
330	C₁₃×#121	C₂³	1	4	yes	—
331	C₁₃×#121	C₂³	1	4	yes	—
332	C₁₃×#121	C₂³	1	8	yes	—
333	C₁₃×#121	C₂³	1	4	yes	—
334	C₁₃×#121	C₂³	1	4	yes	—
335	C₁₃×#121	C₂³	1	8	yes	—
336	C₁₃×#121	C₂³	1	8	yes	—
337	C₁₃×#121	C₂³	1	8	yes	—
338	C₁₃×#121	C₂³	1	8	yes	—
339	C₁₃×#120	C₂³	1	4	yes	—
340	C₁₃×#120	C₂³	1	4	yes	—
341	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
342	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
343	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
344	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
345	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
346	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
347	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
348	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
349	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
350	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
351	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
352	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
353	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
354	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
355	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
356	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
357	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
358	C₄×D₄×C₁₃	C₂³	1	4	yes	—
359	C₄×D₄×C₁₃	C₂³	1	4	yes	—
360	C₄×D₄×C₁₃	C₂³	1	4	yes	—
361	C₄×D₄×C₁₃	C₂³	1	4	yes	—
362	C₄×D₄×C₁₃	C₂³	1	2	yes	—
363	C₄×D₄×C₁₃	C₂³	1	2	yes	—
364	C₄×D₄×C₁₃	C₂³	1	2	yes	—
365	C₄×D₄×C₁₃	C₂³	1	2	yes	—
366	C₄×D₄×C₁₃	C₂³	1	8	yes	—
367	C₄×D₄×C₁₃	C₂³	1	8	yes	—
368	C₄×D₄×C₁₃	C₂³	1	8	yes	—
369	C₄×D₄×C₁₃	C₂³	1	8	yes	—
370	C₄×D₄×C₁₃	C₂³	1	4	yes	—
371	C₄×D₄×C₁₃	C₂³	1	4	yes	—
372	C₄×D₄×C₁₃	C₂³	1	4	yes	—
373	C₄×D₄×C₁₃	C₂³	1	4	yes	—
374	C₄×D₄×C₁₃	C₂³	1	4	yes	—
375	C₄×D₄×C₁₃	C₂³	1	4	yes	—
376	C₄×D₄×C₁₃	C₂³	1	4	yes	—
377	C₄×D₄×C₁₃	C₂³	1	4	yes	—
378	C₄×D₄×C₁₃	C₂³	1	8	yes	—
379	C₄×D₄×C₁₃	C₂³	1	8	yes	—
380	C₄×D₄×C₁₃	C₂³	1	4	yes	—
381	C₄×D₄×C₁₃	C₂³	1	4	yes	—
382	C₄×D₄×C₁₃	C₂³	1	4	yes	—
383	C₄×D₄×C₁₃	C₂³	1	4	yes	—
384	C₄×D₄×C₁₃	C₂³	1	8	yes	—
385	C₄×D₄×C₁₃	C₂³	1	8	yes	—
386	C₄×D₄×C₁₃	C₂³	1	8	yes	—
387	C₁₃×#117	C₂³	1	2	yes	—
388	C₁₃×#117	C₂³	1	2	yes	—
389	C₁₃×#117	C₂³	1	2	yes	—
390	C₁₃×#117	C₂³	1	2	yes	—
391	C₁₃×#117	C₂³	1	4	yes	—
392	C₁₃×#117	C₂³	1	4	yes	—
393	C₁₃×#117	C₂³	1	2	yes	—
394	C₁₃×#117	C₂³	1	2	yes	—
395	C₁₃×#117	C₂³	1	4	yes	—
396	C₁₃×#117	C₂³	1	4	yes	—
397	C₁₃×#117	C₂³	1	4	yes	—
398	C₁₃×#117	C₂³	1	4	yes	—
399	C₁₃×#117	C₂³	1	4	yes	—
400	C₁₃×#117	C₂³	1	4	yes	—
401	C₁₃×#117	C₂³	1	8	yes	—
402	C₁₃×#117	C₂³	1	8	yes	—
403	C₁₃×#117	C₂³	1	8	yes	—
404	C₁₃×#117	C₂³	1	8	yes	—
405	C₁₃×#117	C₂³	1	8	yes	—
406	C₁₃×#117	C₂³	1	8	yes	—
407	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
408	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
409	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
410	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
411	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
414	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
415	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
416	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
417	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
418	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
419	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
420	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
421	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
422	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
423	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
424	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
425	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
426	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
427	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
428	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
429	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
430	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
431	#62877	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
432	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₁₃×#41	—	2	8	no	—
434	C₁₃×#41	—	2	8	no	—
435	C₁₃×#41	—	8	8	no	—
436	C₁₃×#41	—	8	8	no	—
437	C₂×Q₈×C₁₃	—	8	4	no	—
438	C₂×Q₈×C₁₃	—	8	8	no	—
439	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
440	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
441	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
442	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
443	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
444	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
445	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
446	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
447	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
448	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
449	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
450	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
451	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
452	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
453	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
454	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
455	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
456	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
457	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
458	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
459	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
460	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
461	C₂²×C₄×C₁₃	—	2	4	no	—
462	C₂²×C₄×C₁₃	—	8	2	no	—
463	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
465	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
466	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
468	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
470	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
471	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
472	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
473	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
474	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
475	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
476	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
477	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
478	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
479	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
480	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
481	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
482	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
483	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
484	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
485	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
486	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
488	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
489	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
491	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
492	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
493	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
494	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
495	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
496	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
497	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
498	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
499	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
500	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
501	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
502	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
503	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
504	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
505	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
506	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
507	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
508	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
509	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
510	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
511	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
512	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
513	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
514	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
515	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
516	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
517	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
518	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
519	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
520	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
521	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
522	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
523	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
524	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
525	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
526	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
527	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
528	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
529	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
530	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
531	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
532	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
533	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
534	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
535	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
536	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
537	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
538	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
539	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
540	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
542	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
543	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
544	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
545	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
546	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
547	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
548	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
549	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
550	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
551	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
552	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
553	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
554	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
555	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
556	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
557	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
558	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
559	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
560	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
561	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
562	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
563	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
564	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
565	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
566	C₄²×C₁₃	C₂⁴	1	2	yes	—
567	C₄²×C₁₃	C₂⁴	1	2	yes	—
568	C₄²×C₁₃	C₂⁴	1	4	yes	—
569	C₄²×C₁₃	C₂⁴	1	4	yes	—
570	C₄²×C₁₃	C₂⁴	1	2	yes	—
571	C₄²×C₁₃	C₂⁴	1	2	yes	—
572	C₄²×C₁₃	C₂⁴	1	4	yes	—
573	C₄²×C₁₃	C₂⁴	1	4	yes	—
574	C₄²×C₁₃	C₂⁴	1	4	yes	—
575	C₄²×C₁₃	C₂⁴	1	4	yes	—
576	C₄²×C₁₃	C₂⁴	1	4	yes	—
577	C₄²×C₁₃	C₂⁴	1	4	yes	—
578	C₄²×C₁₃	C₂⁴	1	8	yes	—
579	C₄²×C₁₃	C₂⁴	1	8	yes	—
580	C₄²×C₁₃	C₂⁴	1	8	yes	—
581	C₄²×C₁₃	C₂⁴	1	8	yes	—
582	#3565	C₂×C₁₃	1	4	yes	complemented
583	#3565	C₂×C₁₃	1	4	yes	complemented
584	#3563	C₂×C₁₃	1	4	yes	complemented
585	#3559	C₂×C₁₃	1	4	yes	complemented
586	#3555	C₂×C₁₃	1	4	yes	complemented
587	#3553	C₂×C₁₃	1	4	yes	complemented
588	#3552	C₂×C₁₃	1	4	yes	complemented
589	#3552	C₂×C₁₃	1	4	yes	complemented
590	#3547	C₂×C₁₃	1	4	yes	complemented
591	#3544	C₂×C₁₃	1	4	yes	complemented
592	#3541	C₂×C₁₃	1	8	yes	complemented
593	#3512	C₂×C₁₃	1	2	yes	complemented
594	#3511	C₂×C₁₃	1	2	yes	complemented
595	#3504	C₂×C₁₃	1	2	yes	complemented
596	#3503	C₂×C₁₃	1	2	yes	complemented
597	#3493	C₂×C₁₃	1	1	yes	characteristic, complemented
598	#3493	C₂×C₁₃	1	1	yes	characteristic, complemented
599	#3492	C₂×C₁₃	1	2	yes	complemented
600	C₂×#544	C₂×C₁₃	1	1	yes	characteristic, complemented
601	#3455	C₂×C₁₃	1	2	yes	complemented
602	C₂³×C₁₃	—	2	2	no	—
603	C₂³×C₁₃	—	4	1	no	—
604	C₂³×C₁₃	—	4	1	no	—
605	C₂³×C₁₃	C₂⁵	1	2	yes	—
606	C₂³×C₁₃	C₂⁵	1	4	yes	—
607	C₂³×C₁₃	C₂⁵	1	4	yes	—
608	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
609	Q₈×C₁₃	—	2	4	no	—
610	Q₈×C₁₃	—	2	4	no	—
611	Q₈×C₁₃	—	4	8	no	—
612	Q₈×C₁₃	—	4	4	no	—
613	Q₈×C₁₃	—	4	4	no	—
614	Q₈×C₁₃	—	4	8	no	—
615	Q₈×C₁₃	—	4	8	no	—
616	Q₈×C₁₃	—	4	4	no	—
617	Q₈×C₁₃	—	4	4	no	—
618	D₄×C₁₃	—	2	8	no	—
619	D₄×C₁₃	—	2	8	no	—
620	D₄×C₁₃	—	2	4	no	—
621	D₄×C₁₃	—	2	4	no	—
622	D₄×C₁₃	—	4	4	no	—
623	D₄×C₁₃	—	4	4	no	—
624	D₄×C₁₃	—	4	4	no	—
625	D₄×C₁₃	—	4	4	no	—
626	D₄×C₁₃	—	4	4	no	—
627	D₄×C₁₃	—	4	8	no	—
628	D₄×C₁₃	—	4	4	no	—
629	D₄×C₁₃	—	4	4	no	—
630	D₄×C₁₃	—	4	4	no	—
631	C₂×C₄×C₁₃	—	2	2	no	—
632	C₂×C₄×C₁₃	—	2	4	no	—
633	C₂×C₄×C₁₃	—	2	4	no	—
634	C₂×C₄×C₁₃	—	2	8	no	—
635	C₂×C₄×C₁₃	—	2	8	no	—
636	C₂×C₄×C₁₃	—	4	4	no	—
637	C₂×C₄×C₁₃	—	4	8	no	—
638	C₂×C₄×C₁₃	—	4	2	no	—
639	C₂×C₄×C₁₃	—	4	4	no	—
640	C₂×C₄×C₁₃	—	4	2	no	—
641	C₂×C₄×C₁₃	—	4	8	no	—
642	C₂×C₄×C₁₃	—	4	4	no	—
643	C₂×C₄×C₁₃	—	4	2	no	—
644	C₂×C₄×C₁₃	—	4	2	no	—
645	C₂×C₄×C₁₃	—	4	4	no	—
646	C₂×C₄×C₁₃	—	4	8	no	—
647	C₂×C₄×C₁₃	—	4	8	no	—
648	C₂×C₄×C₁₃	—	4	8	no	—
649	C₂×C₄×C₁₃	—	4	4	no	—
650	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
651	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
652	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
653	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
654	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
655	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
656	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
657	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
658	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
659	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
660	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
661	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
662	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
663	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
664	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
665	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
666	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
667	#564	C₂²×C₁₃	1	4	yes	complemented
668	#563	C₂²×C₁₃	1	8	yes	—
669	#563	C₂²×C₁₃	1	8	yes	—
670	#563	C₂²×C₁₃	1	4	yes	complemented
671	#563	C₂²×C₁₃	1	8	yes	complemented
672	#563	C₂²×C₁₃	1	8	yes	complemented
673	#563	C₂²×C₁₃	1	4	yes	complemented
674	#562	C₂²×C₁₃	1	8	yes	—
675	#562	C₂²×C₁₃	1	8	yes	—
676	#562	C₂²×C₁₃	1	4	yes	complemented
677	Q₈²	C₂²×C₁₃	1	4	yes	complemented
678	#557	C₂²×C₁₃	1	4	yes	complemented
679	#557	C₂²×C₁₃	1	4	yes	complemented
680	#557	C₂²×C₁₃	1	4	yes	complemented
681	#557	C₂²×C₁₃	1	4	yes	complemented
682	#556	C₂²×C₁₃	1	4	yes	—
683	#556	C₂²×C₁₃	1	4	yes	—
684	#556	C₂²×C₁₃	1	8	yes	—
685	#556	C₂²×C₁₃	1	4	yes	complemented
686	#556	C₂²×C₁₃	1	4	yes	complemented
687	#555	C₂²×C₁₃	1	4	yes	—
688	#555	C₂²×C₁₃	1	4	yes	—
689	#555	C₂²×C₁₃	1	4	yes	complemented
690	#554	C₂²×C₁₃	1	4	yes	—
691	#554	C₂²×C₁₃	1	4	yes	—
692	#554	C₂²×C₁₃	1	8	yes	—
693	#554	C₂²×C₁₃	1	8	yes	—
694	#554	C₂²×C₁₃	1	8	yes	—
695	#554	C₂²×C₁₃	1	4	yes	complemented
696	#554	C₂²×C₁₃	1	4	yes	complemented
697	#554	C₂²×C₁₃	1	4	yes	complemented
698	#554	C₂²×C₁₃	1	4	yes	complemented
699	#553	C₂²×C₁₃	1	4	yes	—
700	#553	C₂²×C₁₃	1	4	yes	—
701	#553	C₂²×C₁₃	1	4	yes	—
702	#553	C₂²×C₁₃	1	4	yes	—
703	#553	C₂²×C₁₃	1	8	yes	—
704	#553	C₂²×C₁₃	1	8	yes	—
705	#553	C₂²×C₁₃	1	8	yes	—
706	#553	C₂²×C₁₃	1	4	yes	complemented
707	#553	C₂²×C₁₃	1	4	yes	complemented
708	#552	C₂²×C₁₃	1	4	yes	—
709	#552	C₂²×C₁₃	1	4	yes	—
710	#552	C₂²×C₁₃	1	4	yes	—
711	#552	C₂²×C₁₃	1	4	yes	—
712	#552	C₂²×C₁₃	1	8	yes	—
713	#552	C₂²×C₁₃	1	4	yes	complemented
714	#552	C₂²×C₁₃	1	4	yes	complemented
715	#552	C₂²×C₁₃	1	8	yes	complemented
716	#552	C₂²×C₁₃	1	8	yes	complemented
717	D₄×Q₈	C₂²×C₁₃	1	8	yes	—
718	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
719	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
720	#548	C₂²×C₁₃	1	8	yes	—
721	#548	C₂²×C₁₃	1	8	yes	—
722	#547	C₂²×C₁₃	1	4	yes	—
723	#547	C₂²×C₁₃	1	4	yes	—
724	#547	C₂²×C₁₃	1	8	yes	—
725	#547	C₂²×C₁₃	1	4	yes	complemented
726	#547	C₂²×C₁₃	1	4	yes	complemented
727	#544	C₂²×C₁₃	1	4	yes	—
728	#544	C₂²×C₁₃	1	4	yes	—
729	#544	C₂²×C₁₃	1	4	yes	—
730	#544	C₂²×C₁₃	1	4	yes	—
731	#544	C₂²×C₁₃	1	2	yes	—
732	#544	C₂²×C₁₃	1	1	yes	characteristic
733	#544	C₂²×C₁₃	1	1	yes	characteristic
734	#544	C₂²×C₁₃	1	4	yes	complemented
735	#544	C₂²×C₁₃	1	4	yes	complemented
736	#544	C₂²×C₁₃	1	4	yes	complemented
737	#544	C₂²×C₁₃	1	4	yes	complemented
738	#544	C₂²×C₁₃	1	8	yes	complemented
739	#542	C₂²×C₁₃	1	2	yes	—
740	#542	C₂²×C₁₃	1	2	yes	—
741	#542	C₂²×C₁₃	1	2	yes	—
742	#542	C₂²×C₁₃	1	2	yes	—
743	#542	C₂²×C₁₃	1	8	yes	—
744	#542	C₂²×C₁₃	1	8	yes	—
745	#542	C₂²×C₁₃	1	8	yes	—
746	#542	C₂²×C₁₃	1	4	yes	complemented
747	#542	C₂²×C₁₃	1	4	yes	complemented
748	#542	C₂²×C₁₃	1	8	yes	complemented
749	#541	C₂²×C₁₃	1	2	yes	—
750	#541	C₂²×C₁₃	1	2	yes	—
751	#541	C₂²×C₁₃	1	8	yes	—
752	#541	C₂²×C₁₃	1	4	yes	complemented
753	#541	C₂²×C₁₃	1	8	yes	complemented
754	#541	C₂²×C₁₃	1	8	yes	complemented
755	#541	C₂²×C₁₃	1	8	yes	complemented
756	#540	C₂²×C₁₃	1	2	yes	—
757	#540	C₂²×C₁₃	1	2	yes	—
758	#540	C₂²×C₁₃	1	4	yes	complemented
759	#539	C₂²×C₁₃	1	4	yes	—
760	#539	C₂²×C₁₃	1	4	yes	—
761	#539	C₂²×C₁₃	1	8	yes	—
762	#539	C₂²×C₁₃	1	8	yes	—
763	#539	C₂²×C₁₃	1	8	yes	—
764	#539	C₂²×C₁₃	1	8	yes	complemented
765	#539	C₂²×C₁₃	1	8	yes	complemented
766	#538	C₂²×C₁₃	1	4	yes	—
767	#538	C₂²×C₁₃	1	4	yes	—
768	#538	C₂²×C₁₃	1	4	yes	—
769	#538	C₂²×C₁₃	1	4	yes	—
770	#537	C₂²×C₁₃	1	2	yes	—
771	#537	C₂²×C₁₃	1	1	yes	characteristic
772	#537	C₂²×C₁₃	1	1	yes	characteristic
773	#537	C₂²×C₁₃	1	8	yes	—
774	#536	C₂²×C₁₃	1	8	yes	—
775	#536	C₂²×C₁₃	1	8	yes	complemented
776	#533	C₂²×C₁₃	1	2	yes	—
777	#533	C₂²×C₁₃	1	4	yes	complemented
778	#533	C₂²×C₁₃	1	4	yes	complemented
779	#533	C₂²×C₁₃	1	4	yes	complemented
780	#532	C₂²×C₁₃	1	2	yes	—
781	#532	C₂²×C₁₃	1	4	yes	complemented
782	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
783	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
784	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
785	#529	C₂²×C₁₃	1	4	yes	—
786	#529	C₂²×C₁₃	1	4	yes	—
787	#529	C₂²×C₁₃	1	4	yes	—
788	#529	C₂²×C₁₃	1	4	yes	—
789	#529	C₂²×C₁₃	1	4	yes	—
790	#529	C₂²×C₁₃	1	4	yes	—
791	#529	C₂²×C₁₃	1	4	yes	complemented
792	#529	C₂²×C₁₃	1	4	yes	complemented
793	C₂×#125	C₂²×C₁₃	1	2	yes	—
794	C₂×#125	C₂²×C₁₃	1	2	yes	—
795	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
796	#525	C₂²×C₁₃	1	2	yes	—
797	#525	C₂²×C₁₃	1	2	yes	—
798	#525	C₂²×C₁₃	1	8	yes	—
799	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
800	#520	C₂²×C₁₃	1	2	yes	—
801	#520	C₂²×C₁₃	1	2	yes	—
802	#520	C₂²×C₁₃	1	2	yes	—
803	#520	C₂²×C₁₃	1	2	yes	—
804	C₄×#41	C₂²×C₁₃	1	2	yes	—
805	C₄×#41	C₂²×C₁₃	1	2	yes	—
806	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
807	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
808	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	2	1	no	—
811	C₂²×C₁₃	—	2	2	no	—
812	C₂²×C₁₃	—	2	4	no	—
813	C₂²×C₁₃	—	2	4	no	—
814	C₂²×C₁₃	—	2	4	no	—
815	C₂²×C₁₃	—	2	2	no	—
816	C₂²×C₁₃	—	2	4	no	—
817	C₂²×C₁₃	—	2	4	no	—
818	C₂²×C₁₃	—	2	4	no	—
819	C₂²×C₁₃	—	2	2	no	—
820	C₂²×C₁₃	—	4	4	no	—
821	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
822	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
823	C₄×C₁₃	—	2	1	no	—
824	C₄×C₁₃	—	2	1	no	—
825	C₄×C₁₃	—	2	4	no	—
826	C₄×C₁₃	—	2	4	no	—
827	C₄×C₁₃	—	2	8	no	—
828	C₄×C₁₃	—	2	4	no	—
829	C₄×C₁₃	—	2	2	no	—
830	C₄×C₁₃	—	2	4	no	—
831	C₄×C₁₃	—	2	4	no	—
832	C₄×C₁₃	—	2	2	no	—
833	C₄×C₁₃	—	2	2	no	—
834	C₄×C₁₃	—	2	4	no	—
835	C₄×C₁₃	—	2	4	no	—
836	C₄×C₁₃	—	2	2	no	—
837	C₄×C₁₃	—	2	4	no	—
838	C₄×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
839	C₂×#41	C₂³×C₁₃	1	2	yes	—
840	C₂×#41	C₂³×C₁₃	1	2	yes	—
841	C₂×#41	C₂³×C₁₃	1	8	yes	—
842	C₂×#41	C₂³×C₁₃	1	8	yes	—
843	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
844	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
845	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
846	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
847	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
848	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
849	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
850	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
851	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
852	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
853	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
854	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
855	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
856	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
857	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
858	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
859	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
860	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
861	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
862	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
863	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
864	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
865	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
866	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
867	#127	C₂³×C₁₃	1	2	yes	—
868	#126	C₂³×C₁₃	1	4	yes	—
869	#126	C₂³×C₁₃	1	4	yes	—
870	#126	C₂³×C₁₃	1	4	yes	—
871	#126	C₂³×C₁₃	1	4	yes	—
872	#126	C₂³×C₁₃	1	4	yes	—
873	#126	C₂³×C₁₃	1	4	yes	—
874	#126	C₂³×C₁₃	1	4	yes	—
875	#126	C₂³×C₁₃	1	4	yes	—
876	#126	C₂³×C₁₃	1	8	yes	—
877	#126	C₂³×C₁₃	1	8	yes	—
878	#126	C₂³×C₁₃	1	8	yes	—
879	#126	C₂³×C₁₃	1	8	yes	—
880	#126	C₂³×C₁₃	1	8	yes	—
881	#126	C₂³×C₁₃	1	8	yes	—
882	#126	C₂³×C₁₃	1	8	yes	—
883	#126	C₂³×C₁₃	1	8	yes	—
884	#126	C₂³×C₁₃	1	8	yes	—
885	#126	C₂³×C₁₃	1	8	yes	—
886	#126	C₂³×C₁₃	1	8	yes	—
887	#126	C₂³×C₁₃	1	8	yes	—
888	#125	C₂³×C₁₃	1	4	yes	—
889	#125	C₂³×C₁₃	1	4	yes	—
890	#125	C₂³×C₁₃	1	8	yes	—
891	#125	C₂³×C₁₃	1	4	yes	—
892	#125	C₂³×C₁₃	1	4	yes	—
893	#125	C₂³×C₁₃	1	4	yes	—
894	#125	C₂³×C₁₃	1	4	yes	—
895	#125	C₂³×C₁₃	1	2	yes	—
896	#125	C₂³×C₁₃	1	8	yes	—
897	#125	C₂³×C₁₃	1	8	yes	—
898	#125	C₂³×C₁₃	1	4	yes	—
899	#125	C₂³×C₁₃	1	4	yes	—
900	#125	C₂³×C₁₃	1	4	yes	—
901	#125	C₂³×C₁₃	1	4	yes	—
902	#125	C₂³×C₁₃	1	4	yes	—
903	#125	C₂³×C₁₃	1	4	yes	—
904	#125	C₂³×C₁₃	1	4	yes	—
905	#125	C₂³×C₁₃	1	4	yes	—
906	#125	C₂³×C₁₃	1	2	yes	—
907	#125	C₂³×C₁₃	1	8	yes	—
908	#125	C₂³×C₁₃	1	4	yes	—
909	#125	C₂³×C₁₃	1	4	yes	—
910	#125	C₂³×C₁₃	1	8	yes	—
911	#125	C₂³×C₁₃	1	8	yes	—
912	#125	C₂³×C₁₃	1	8	yes	—
913	#125	C₂³×C₁₃	1	8	yes	—
914	#125	C₂³×C₁₃	1	8	yes	—
915	#125	C₂³×C₁₃	1	8	yes	—
916	#125	C₂³×C₁₃	1	8	yes	—
917	#125	C₂³×C₁₃	1	8	yes	—
918	#124	C₂³×C₁₃	1	4	yes	—
919	#124	C₂³×C₁₃	1	4	yes	—
920	#124	C₂³×C₁₃	1	4	yes	—
921	#124	C₂³×C₁₃	1	4	yes	—
922	#124	C₂³×C₁₃	1	4	yes	—
923	#124	C₂³×C₁₃	1	4	yes	—
924	#124	C₂³×C₁₃	1	2	yes	—
925	#124	C₂³×C₁₃	1	2	yes	—
926	#124	C₂³×C₁₃	1	8	yes	—
927	#124	C₂³×C₁₃	1	8	yes	—
928	#124	C₂³×C₁₃	1	8	yes	—
929	#124	C₂³×C₁₃	1	8	yes	—
930	#124	C₂³×C₁₃	1	8	yes	—
931	#123	C₂³×C₁₃	1	4	yes	—
932	#123	C₂³×C₁₃	1	4	yes	—
933	#123	C₂³×C₁₃	1	8	yes	—
934	#123	C₂³×C₁₃	1	8	yes	—
935	#123	C₂³×C₁₃	1	4	yes	—
936	#123	C₂³×C₁₃	1	4	yes	—
937	#123	C₂³×C₁₃	1	4	yes	—
938	#123	C₂³×C₁₃	1	4	yes	—
939	#123	C₂³×C₁₃	1	4	yes	—
940	#123	C₂³×C₁₃	1	4	yes	—
941	#123	C₂³×C₁₃	1	4	yes	—
942	#123	C₂³×C₁₃	1	4	yes	—
943	#123	C₂³×C₁₃	1	8	yes	—
944	#123	C₂³×C₁₃	1	8	yes	—
945	#123	C₂³×C₁₃	1	8	yes	—
946	#123	C₂³×C₁₃	1	8	yes	—
947	#123	C₂³×C₁₃	1	8	yes	—
948	#123	C₂³×C₁₃	1	8	yes	—
949	#123	C₂³×C₁₃	1	8	yes	—
950	#123	C₂³×C₁₃	1	8	yes	—
951	#123	C₂³×C₁₃	1	8	yes	—
952	#123	C₂³×C₁₃	1	8	yes	—
953	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
954	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
955	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
956	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
957	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
958	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
959	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
960	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
961	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
962	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
963	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
964	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
965	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
966	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
967	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
968	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
969	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
970	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
971	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
972	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
973	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
974	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
975	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
976	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
977	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
978	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
979	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
980	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
981	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
982	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
983	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
984	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
985	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
986	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
987	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
988	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
989	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
990	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
991	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
992	#121	C₂³×C₁₃	1	8	yes	—
993	#121	C₂³×C₁₃	1	8	yes	—
994	#121	C₂³×C₁₃	1	2	yes	—
995	#121	C₂³×C₁₃	1	2	yes	—
996	#121	C₂³×C₁₃	1	2	yes	—
997	#121	C₂³×C₁₃	1	2	yes	—
998	#121	C₂³×C₁₃	1	4	yes	—
999	#121	C₂³×C₁₃	1	4	yes	—
1000	#121	C₂³×C₁₃	1	4	yes	—
1001	#121	C₂³×C₁₃	1	4	yes	—
1002	#121	C₂³×C₁₃	1	4	yes	—
1003	#121	C₂³×C₁₃	1	4	yes	—
1004	#121	C₂³×C₁₃	1	4	yes	—
1005	#121	C₂³×C₁₃	1	4	yes	—
1006	#121	C₂³×C₁₃	1	4	yes	—
1007	#121	C₂³×C₁₃	1	4	yes	—
1008	#121	C₂³×C₁₃	1	8	yes	—
1009	#121	C₂³×C₁₃	1	4	yes	—
1010	#121	C₂³×C₁₃	1	4	yes	—
1011	#121	C₂³×C₁₃	1	8	yes	—
1012	#121	C₂³×C₁₃	1	8	yes	—
1013	#121	C₂³×C₁₃	1	8	yes	—
1014	#121	C₂³×C₁₃	1	8	yes	—
1015	#120	C₂³×C₁₃	1	4	yes	—
1016	#120	C₂³×C₁₃	1	4	yes	—
1017	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1018	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1019	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1020	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1021	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1022	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1023	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1024	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1025	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1026	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1027	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1028	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1029	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1030	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1031	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1032	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1033	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1034	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1035	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1036	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1037	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1038	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1039	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1040	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1041	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1042	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1043	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1044	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1045	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1046	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1047	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1048	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1049	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1050	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1051	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1052	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1053	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1054	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1055	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1056	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1057	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1058	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1059	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1060	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1061	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1062	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1063	#117	C₂³×C₁₃	1	2	yes	—
1064	#117	C₂³×C₁₃	1	2	yes	—
1065	#117	C₂³×C₁₃	1	2	yes	—
1066	#117	C₂³×C₁₃	1	2	yes	—
1067	#117	C₂³×C₁₃	1	4	yes	—
1068	#117	C₂³×C₁₃	1	4	yes	—
1069	#117	C₂³×C₁₃	1	2	yes	—
1070	#117	C₂³×C₁₃	1	2	yes	—
1071	#117	C₂³×C₁₃	1	4	yes	—
1072	#117	C₂³×C₁₃	1	4	yes	—
1073	#117	C₂³×C₁₃	1	4	yes	—
1074	#117	C₂³×C₁₃	1	4	yes	—
1075	#117	C₂³×C₁₃	1	4	yes	—
1076	#117	C₂³×C₁₃	1	4	yes	—
1077	#117	C₂³×C₁₃	1	8	yes	—
1078	#117	C₂³×C₁₃	1	8	yes	—
1079	#117	C₂³×C₁₃	1	8	yes	—
1080	#117	C₂³×C₁₃	1	8	yes	—
1081	#117	C₂³×C₁₃	1	8	yes	—
1082	#117	C₂³×C₁₃	1	8	yes	—
1083	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1084	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1085	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1086	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1087	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1092	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1093	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1094	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1095	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1096	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1097	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1098	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1099	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1100	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1101	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1102	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1103	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1104	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1105	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1106	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1107	C₂×C₁₃	—	2	2	no	—
1108	C₂×C₁₃	—	4	4	no	—
1109	C₂×C₁₃	—	4	4	no	—
1110	C₂×C₁₃	—	4	2	no	—
1111	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1112	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1113	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1114	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1115	#41	—	2	8	no	—
1116	#41	—	2	8	no	—
1117	#41	—	8	8	no	—
1118	#41	—	8	8	no	—
1119	C₂×Q₈	—	8	4	no	—
1120	C₂×Q₈	—	8	8	no	—
1121	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1122	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1123	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1124	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1125	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1126	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1127	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1128	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1129	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1130	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1131	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1132	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1133	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1134	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1135	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1136	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1137	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1138	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1139	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1140	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1141	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1142	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1143	C₂²×C₄	—	2	4	no	—
1144	C₂²×C₄	—	8	2	no	—
1145	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1147	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1148	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1149	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1150	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1151	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1152	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1153	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1154	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1155	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1156	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1157	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1158	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1159	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1160	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1161	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1162	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1163	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1164	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1165	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1166	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1167	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1168	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1169	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1170	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1171	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1172	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1173	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1174	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1175	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1176	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1177	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1178	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1179	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1180	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1181	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1182	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1183	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1184	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1185	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1186	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1187	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1188	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1189	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1190	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1191	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1192	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1193	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1194	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1195	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1196	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1197	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1198	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1199	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1200	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1201	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1202	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1203	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1204	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1205	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1206	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1207	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1208	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1209	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1210	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1211	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1212	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1213	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1214	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1215	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1216	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1217	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1218	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1219	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1220	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1221	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1222	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1223	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1224	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1225	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1226	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1227	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1228	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1229	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1230	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1231	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1232	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1233	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1234	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1235	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1236	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1237	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1238	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1239	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1240	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1241	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1242	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1243	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1244	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1245	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1246	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1247	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1248	C₄²	C₂⁴×C₁₃	1	2	yes	—
1249	C₄²	C₂⁴×C₁₃	1	2	yes	—
1250	C₄²	C₂⁴×C₁₃	1	4	yes	—
1251	C₄²	C₂⁴×C₁₃	1	4	yes	—
1252	C₄²	C₂⁴×C₁₃	1	2	yes	—
1253	C₄²	C₂⁴×C₁₃	1	2	yes	—
1254	C₄²	C₂⁴×C₁₃	1	4	yes	—
1255	C₄²	C₂⁴×C₁₃	1	4	yes	—
1256	C₄²	C₂⁴×C₁₃	1	4	yes	—
1257	C₄²	C₂⁴×C₁₃	1	4	yes	—
1258	C₄²	C₂⁴×C₁₃	1	4	yes	—
1259	C₄²	C₂⁴×C₁₃	1	4	yes	—
1260	C₄²	C₂⁴×C₁₃	1	8	yes	—
1261	C₄²	C₂⁴×C₁₃	1	8	yes	—
1262	C₄²	C₂⁴×C₁₃	1	8	yes	—
1263	C₄²	C₂⁴×C₁₃	1	8	yes	—
1264	C₁₃	#62877	1	1	yes	characteristic, direct product factor, Sylow
1265	C₂³	—	2	2	no	—
1266	C₂³	—	4	1	no	—
1267	C₂³	—	4	1	no	—
1268	C₂³	C₂⁵×C₁₃	1	2	yes	—
1269	C₂³	C₂⁵×C₁₃	1	4	yes	—
1270	C₂³	C₂⁵×C₁₃	1	4	yes	—
1271	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1272	Q₈	—	2	4	no	—
1273	Q₈	—	2	4	no	—
1274	Q₈	—	4	8	no	—
1275	Q₈	—	4	4	no	—
1276	Q₈	—	4	4	no	—
1277	Q₈	—	4	8	no	—
1278	Q₈	—	4	8	no	—
1279	Q₈	—	4	4	no	—
1280	Q₈	—	4	4	no	—
1281	D₄	—	2	8	no	—
1282	D₄	—	2	8	no	—
1283	D₄	—	2	4	no	—
1284	D₄	—	2	4	no	—
1285	D₄	—	4	4	no	—
1286	D₄	—	4	4	no	—
1287	D₄	—	4	4	no	—
1288	D₄	—	4	4	no	—
1289	D₄	—	4	4	no	—
1290	D₄	—	4	8	no	—
1291	D₄	—	4	4	no	—
1292	D₄	—	4	4	no	—
1293	D₄	—	4	4	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	8	no	—
1298	C₂×C₄	—	2	8	no	—
1299	C₂×C₄	—	4	4	no	—
1300	C₂×C₄	—	4	8	no	—
1301	C₂×C₄	—	4	2	no	—
1302	C₂×C₄	—	4	4	no	—
1303	C₂×C₄	—	4	2	no	—
1304	C₂×C₄	—	4	8	no	—
1305	C₂×C₄	—	4	4	no	—
1306	C₂×C₄	—	4	2	no	—
1307	C₂×C₄	—	4	2	no	—
1308	C₂×C₄	—	4	4	no	—
1309	C₂×C₄	—	4	8	no	—
1310	C₂×C₄	—	4	8	no	—
1311	C₂×C₄	—	4	8	no	—
1312	C₂×C₄	—	4	4	no	—
1313	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1314	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1315	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1316	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1317	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1318	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1319	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1320	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1321	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1322	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1323	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1324	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1325	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1326	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1327	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1328	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1329	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1330	C₂²	—	2	1	no	—
1331	C₂²	—	2	1	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	2	4	no	—
1334	C₂²	—	2	4	no	—
1335	C₂²	—	2	4	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	2	4	no	—
1338	C₂²	—	2	4	no	—
1339	C₂²	—	2	4	no	—
1340	C₂²	—	2	2	no	—
1341	C₂²	—	4	4	no	—
1342	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1343	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1344	C₄	—	2	1	no	—
1345	C₄	—	2	1	no	—
1346	C₄	—	2	4	no	—
1347	C₄	—	2	4	no	—
1348	C₄	—	2	8	no	—
1349	C₄	—	2	4	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	4	no	—
1352	C₄	—	2	4	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	2	4	no	—
1356	C₄	—	2	4	no	—
1357	C₄	—	2	2	no	—
1358	C₄	—	2	4	no	—
1359	C₄	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1360	C₂	—	2	2	no	—
1361	C₂	—	4	2	no	—
1362	C₂	—	4	4	no	—
1363	C₂	—	4	4	no	—
1364	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1365	C₂	C₁₃×H(7,𝔽₂)	1	1	yes	characteristic
1366	C₂	C₁₃×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3565	C₂	semidirect
2. C₁₃×#3565	C₂	semidirect
3. C₁₃×#3563	C₂	semidirect
4. C₁₃×#3559	C₂	semidirect
5. C₁₃×#3555	C₂	semidirect
6. C₁₃×#3553	C₂	semidirect
7. C₁₃×#3552	C₂	semidirect
8. C₁₃×#3552	C₂	semidirect
9. C₁₃×#3547	C₂	semidirect
10. C₁₃×#3544	C₂	semidirect
11. C₁₃×#3541	C₂	semidirect
12. C₁₃×#3512	C₂	semidirect
13. C₁₃×#3511	C₂	semidirect
14. C₁₃×#3504	C₂	semidirect
15. C₁₃×#3503	C₂	semidirect
16. C₁₃×#3493	C₂	semidirect
17. C₁₃×#3493	C₂	semidirect
18. C₁₃×#3492	C₂	semidirect
19. C₂×C₁₃×#544	C₂	semidirect
20. C₁₃×#3455	C₂	semidirect
21. C₁₃×#564	C₂²	semidirect
24. C₁₃×#563	C₂²	semidirect
25. C₁₃×#563	C₂²	semidirect
26. C₁₃×#563	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. Q₈²×C₁₃	C₂²	semidirect
32. C₁₃×#557	C₂²	semidirect
33. C₁₃×#557	C₂²	semidirect
34. C₁₃×#557	C₂²	semidirect
35. C₁₃×#557	C₂²	semidirect
39. C₁₃×#556	C₂²	semidirect
40. C₁₃×#556	C₂²	semidirect
43. C₁₃×#555	C₂²	semidirect
49. C₁₃×#554	C₂²	semidirect
50. C₁₃×#554	C₂²	semidirect
51. C₁₃×#554	C₂²	semidirect
52. C₁₃×#554	C₂²	semidirect
60. C₁₃×#553	C₂²	semidirect
61. C₁₃×#553	C₂²	semidirect
67. C₁₃×#552	C₂²	semidirect
68. C₁₃×#552	C₂²	semidirect
69. C₁₃×#552	C₂²	semidirect
70. C₁₃×#552	C₂²	semidirect
72. D₄×Q₈×C₁₃	C₂²	semidirect
73. D₄×Q₈×C₁₃	C₂²	semidirect
79. C₁₃×#547	C₂²	semidirect
80. C₁₃×#547	C₂²	semidirect
88. C₁₃×#544	C₂²	semidirect
89. C₁₃×#544	C₂²	semidirect
90. C₁₃×#544	C₂²	semidirect
91. C₁₃×#544	C₂²	semidirect
92. C₁₃×#544	C₂²	semidirect
100. C₁₃×#542	C₂²	semidirect
101. C₁₃×#542	C₂²	semidirect
102. C₁₃×#542	C₂²	semidirect
106. C₁₃×#541	C₂²	semidirect
107. C₁₃×#541	C₂²	semidirect
108. C₁₃×#541	C₂²	semidirect
109. C₁₃×#541	C₂²	semidirect
112. C₁₃×#540	C₂²	semidirect
118. C₁₃×#539	C₂²	semidirect
119. C₁₃×#539	C₂²	semidirect
129. C₁₃×#536	C₂²	semidirect
131. C₁₃×#533	C₂²	semidirect
132. C₁₃×#533	C₂²	semidirect
133. C₁₃×#533	C₂²	semidirect
135. C₁₃×#532	C₂²	semidirect
138. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
145. C₁₃×#529	C₂²	semidirect
146. C₁₃×#529	C₂²	semidirect
149. C₂×C₁₃×#125	C₂²	semidirect
431. #62877	C₁₃	direct (N × H)
582. #3565	C₂×C₁₃	semidirect
583. #3565	C₂×C₁₃	semidirect
584. #3563	C₂×C₁₃	semidirect
585. #3559	C₂×C₁₃	semidirect
586. #3555	C₂×C₁₃	semidirect
587. #3553	C₂×C₁₃	semidirect
588. #3552	C₂×C₁₃	semidirect
589. #3552	C₂×C₁₃	semidirect
590. #3547	C₂×C₁₃	semidirect
591. #3544	C₂×C₁₃	semidirect
592. #3541	C₂×C₁₃	semidirect
593. #3512	C₂×C₁₃	semidirect
594. #3511	C₂×C₁₃	semidirect
595. #3504	C₂×C₁₃	semidirect
596. #3503	C₂×C₁₃	semidirect
597. #3493	C₂×C₁₃	semidirect
598. #3493	C₂×C₁₃	semidirect
599. #3492	C₂×C₁₃	semidirect
600. C₂×#544	C₂×C₁₃	semidirect
601. #3455	C₂×C₁₃	semidirect
667. #564	C₂²×C₁₃	semidirect
670. #563	C₂²×C₁₃	semidirect
671. #563	C₂²×C₁₃	semidirect
672. #563	C₂²×C₁₃	semidirect
673. #563	C₂²×C₁₃	semidirect
676. #562	C₂²×C₁₃	semidirect
677. Q₈²	C₂²×C₁₃	semidirect
678. #557	C₂²×C₁₃	semidirect
679. #557	C₂²×C₁₃	semidirect
680. #557	C₂²×C₁₃	semidirect
681. #557	C₂²×C₁₃	semidirect
685. #556	C₂²×C₁₃	semidirect
686. #556	C₂²×C₁₃	semidirect
689. #555	C₂²×C₁₃	semidirect
695. #554	C₂²×C₁₃	semidirect
696. #554	C₂²×C₁₃	semidirect
697. #554	C₂²×C₁₃	semidirect
698. #554	C₂²×C₁₃	semidirect
706. #553	C₂²×C₁₃	semidirect
707. #553	C₂²×C₁₃	semidirect
713. #552	C₂²×C₁₃	semidirect
714. #552	C₂²×C₁₃	semidirect
715. #552	C₂²×C₁₃	semidirect
716. #552	C₂²×C₁₃	semidirect
718. D₄×Q₈	C₂²×C₁₃	semidirect
719. D₄×Q₈	C₂²×C₁₃	semidirect
725. #547	C₂²×C₁₃	semidirect
726. #547	C₂²×C₁₃	semidirect
734. #544	C₂²×C₁₃	semidirect
735. #544	C₂²×C₁₃	semidirect
736. #544	C₂²×C₁₃	semidirect
737. #544	C₂²×C₁₃	semidirect
738. #544	C₂²×C₁₃	semidirect
746. #542	C₂²×C₁₃	semidirect
747. #542	C₂²×C₁₃	semidirect
748. #542	C₂²×C₁₃	semidirect
752. #541	C₂²×C₁₃	semidirect
753. #541	C₂²×C₁₃	semidirect
754. #541	C₂²×C₁₃	semidirect
755. #541	C₂²×C₁₃	semidirect
758. #540	C₂²×C₁₃	semidirect
764. #539	C₂²×C₁₃	semidirect
765. #539	C₂²×C₁₃	semidirect
775. #536	C₂²×C₁₃	semidirect
777. #533	C₂²×C₁₃	semidirect
778. #533	C₂²×C₁₃	semidirect
779. #533	C₂²×C₁₃	semidirect
781. #532	C₂²×C₁₃	semidirect
784. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
791. #529	C₂²×C₁₃	semidirect
792. #529	C₂²×C₁₃	semidirect
795. C₂×#125	C₂²×C₁₃	semidirect
1264. C₁₃	#62877	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×#3565	2
C₁₃×#3563	2
C₁₃×#3559	2
C₁₃×#3555	2
C₁₃×#3553	2
C₁₃×#3552	2
C₁₃×#3547	2
C₁₃×#3544	2
C₁₃×#3541	2
C₁₃×#3512	2
C₁₃×#3511	2
C₁₃×#3504	2
C₁₃×#3503	2
C₁₃×#3493	2
C₁₃×#3492	2
C₂×C₁₃×#544	2
C₁₃×#3455	2
#62877	13

Subgroups — C13×#62877 #15749216

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62877 #15749216