Subgroups — C₁₃×#62829 #15749168

Order 3328.

6636 conjugacy classes of subgroups.

The subgroup lattice has 1316 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3566	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3564	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3560	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3557	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3551	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3538	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3537	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3536	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3516	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3515	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3514	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3513	C₂	1	8	yes	maximal, complemented
13	C₁₃×#3513	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3512	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3510	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3493	C₂	1	4	yes	maximal, complemented
17	C₁₃×#3491	C₂	1	4	yes	maximal, complemented
18	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#529	C₂	1	2	yes	maximal, complemented
20	C₁₃×#563	C₂²	1	4	yes	complemented
21	C₁₃×#563	C₂²	1	4	yes	complemented
22	C₁₃×#563	C₂²	1	8	yes	complemented
23	C₁₃×#562	C₂²	1	8	yes	complemented
24	C₁₃×#560	C₂²	1	4	yes	—
25	C₁₃×#560	C₂²	1	4	yes	complemented
26	C₁₃×#559	C₂²	1	4	yes	complemented
27	C₁₃×#559	C₂²	1	8	yes	complemented
28	C₁₃×#557	C₂²	1	4	yes	complemented
29	C₁₃×#556	C₂²	1	4	yes	complemented
30	C₁₃×#556	C₂²	1	8	yes	complemented
31	C₁₃×#556	C₂²	1	8	yes	complemented
32	C₁₃×#555	C₂²	1	4	yes	complemented
33	C₁₃×#555	C₂²	1	8	yes	complemented
34	C₁₃×#554	C₂²	1	4	yes	complemented
35	C₁₃×#554	C₂²	1	4	yes	complemented
36	C₁₃×#554	C₂²	1	8	yes	complemented
37	C₁₃×#553	C₂²	1	4	yes	—
38	C₁₃×#553	C₂²	1	4	yes	complemented
39	C₁₃×#553	C₂²	1	8	yes	complemented
40	C₁₃×#553	C₂²	1	8	yes	complemented
41	C₁₃×#553	C₂²	1	8	yes	complemented
42	C₁₃×#553	C₂²	1	8	yes	complemented
43	C₁₃×#553	C₂²	1	8	yes	complemented
44	C₁₃×#552	C₂²	1	4	yes	complemented
45	C₁₃×#552	C₂²	1	4	yes	complemented
46	C₁₃×#552	C₂²	1	8	yes	complemented
47	C₁₃×#552	C₂²	1	8	yes	complemented
48	C₁₃×#552	C₂²	1	8	yes	complemented
49	C₁₃×#552	C₂²	1	8	yes	complemented
50	C₁₃×#552	C₂²	1	8	yes	complemented
51	C₁₃×#552	C₂²	1	8	yes	complemented
52	C₁₃×#551	C₂²	1	4	yes	complemented
53	C₁₃×#551	C₂²	1	4	yes	complemented
54	C₁₃×#551	C₂²	1	8	yes	complemented
55	C₁₃×#551	C₂²	1	8	yes	complemented
56	C₁₃×#551	C₂²	1	8	yes	complemented
57	C₁₃×#551	C₂²	1	8	yes	complemented
58	C₁₃×#551	C₂²	1	8	yes	complemented
59	C₁₃×#551	C₂²	1	8	yes	complemented
60	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
61	C₁₃×#548	C₂²	1	4	yes	complemented
62	C₁₃×#548	C₂²	1	4	yes	complemented
63	C₁₃×#547	C₂²	1	4	yes	complemented
64	C₁₃×#547	C₂²	1	8	yes	complemented
65	C₁₃×#546	C₂²	1	8	yes	complemented
66	C₁₃×#546	C₂²	1	4	yes	complemented
67	C₁₃×#546	C₂²	1	4	yes	complemented
68	C₁₃×#546	C₂²	1	8	yes	complemented
69	C₁₃×#546	C₂²	1	8	yes	complemented
70	D₄²×C₁₃	C₂²	1	4	yes	—
71	D₄²×C₁₃	C₂²	1	4	yes	—
72	C₁₃×#544	C₂²	1	4	yes	complemented
73	C₁₃×#543	C₂²	1	4	yes	complemented
74	C₁₃×#542	C₂²	1	4	yes	complemented
75	C₁₃×#542	C₂²	1	8	yes	complemented
76	C₁₃×#542	C₂²	1	8	yes	complemented
77	C₁₃×#542	C₂²	1	8	yes	complemented
78	C₁₃×#542	C₂²	1	4	yes	complemented
79	C₁₃×#541	C₂²	1	2	yes	complemented
80	C₁₃×#541	C₂²	1	8	yes	complemented
81	C₁₃×#541	C₂²	1	8	yes	complemented
82	C₁₃×#541	C₂²	1	2	yes	complemented
83	C₁₃×#540	C₂²	1	2	yes	—
84	C₁₃×#540	C₂²	1	8	yes	complemented
85	C₁₃×#540	C₂²	1	2	yes	complemented
86	C₁₃×#539	C₂²	1	4	yes	complemented
87	C₁₃×#539	C₂²	1	4	yes	complemented
88	C₁₃×#539	C₂²	1	8	yes	complemented
89	C₁₃×#539	C₂²	1	8	yes	complemented
90	C₁₃×#539	C₂²	1	8	yes	complemented
91	C₁₃×#539	C₂²	1	8	yes	complemented
92	C₁₃×#538	C₂²	1	4	yes	—
93	C₁₃×#538	C₂²	1	4	yes	complemented
94	C₁₃×#538	C₂²	1	8	yes	complemented
95	C₁₃×#538	C₂²	1	8	yes	complemented
96	C₁₃×#538	C₂²	1	8	yes	complemented
97	C₁₃×#538	C₂²	1	8	yes	complemented
98	C₁₃×#537	C₂²	1	4	yes	complemented
99	C₁₃×#537	C₂²	1	4	yes	complemented
100	C₁₃×#536	C₂²	1	2	yes	complemented
101	C₁₃×#535	C₂²	1	2	yes	—
102	C₁₃×#534	C₂²	1	4	yes	—
103	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#533	C₂²	1	2	yes	complemented
105	C₁₃×#533	C₂²	1	2	yes	complemented
106	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#532	C₂²	1	2	yes	complemented
108	C₁₃×#532	C₂²	1	2	yes	complemented
109	C₁₃×#529	C₂²	1	4	yes	complemented
110	C₁₃×#529	C₂²	1	4	yes	complemented
111	C₁₃×#529	C₂²	1	4	yes	complemented
112	C₁₃×#529	C₂²	1	4	yes	complemented
113	C₁₃×#529	C₂²	1	4	yes	complemented
114	C₁₃×#529	C₂²	1	4	yes	complemented
115	C₁₃×#529	C₂²	1	4	yes	complemented
116	C₁₃×#529	C₂²	1	4	yes	complemented
117	C₁₃×#529	C₂²	1	4	yes	complemented
118	C₁₃×#529	C₂²	1	2	yes	complemented
119	C₁₃×#529	C₂²	1	2	yes	complemented
120	C₁₃×#529	C₂²	1	4	yes	complemented
121	C₁₃×#529	C₂²	1	8	yes	complemented
122	C₁₃×#529	C₂²	1	8	yes	complemented
123	C₁₃×#529	C₂²	1	4	yes	complemented
124	C₁₃×#529	C₂²	1	4	yes	complemented
125	C₂×C₁₃×#126	C₂²	1	4	yes	complemented
126	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
127	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
128	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
129	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
130	C₁₃×#525	C₂²	1	1	yes	characteristic
131	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#525	C₂²	1	4	yes	complemented
133	C₁₃×#525	C₂²	1	8	yes	complemented
134	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
135	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
136	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
137	C₂×C₁₃×#121	C₂²	1	2	yes	—
138	C₁₃×#520	C₂²	1	8	yes	complemented
139	C₁₃×#520	C₂²	1	4	yes	complemented
140	C₁₃×#519	C₂²	1	2	yes	complemented
141	C₁₃×#518	C₂²	1	8	yes	complemented
142	C₁₃×#518	C₂²	1	2	yes	complemented
143	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
144	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
145	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
146	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
147	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
148	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
149	C₂×C₁₃×#117	C₂²	1	4	yes	complemented
150	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
151	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×#41	C₂³	1	4	yes	—
154	C₂×C₁₃×#41	C₂³	1	8	yes	—
155	C₂×C₁₃×#41	C₂³	1	4	yes	—
156	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
157	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
158	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
159	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
161	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
162	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
169	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
170	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
171	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#127	C₂³	1	2	yes	—
174	C₁₃×#127	C₂³	1	4	yes	—
175	C₁₃×#126	C₂³	1	8	yes	—
176	C₁₃×#126	C₂³	1	8	yes	—
177	C₁₃×#126	C₂³	1	8	yes	—
178	C₁₃×#126	C₂³	1	8	yes	—
179	C₁₃×#126	C₂³	1	4	yes	—
180	C₁₃×#126	C₂³	1	4	yes	—
181	C₁₃×#126	C₂³	1	8	yes	—
182	C₁₃×#126	C₂³	1	8	yes	—
183	C₁₃×#126	C₂³	1	8	yes	—
184	C₁₃×#126	C₂³	1	8	yes	—
185	C₁₃×#126	C₂³	1	8	yes	—
186	C₁₃×#126	C₂³	1	8	yes	—
187	C₁₃×#126	C₂³	1	8	yes	—
188	C₁₃×#126	C₂³	1	8	yes	—
189	C₁₃×#126	C₂³	1	8	yes	—
190	C₁₃×#126	C₂³	1	8	yes	—
191	C₁₃×#126	C₂³	1	8	yes	—
192	C₁₃×#126	C₂³	1	8	yes	—
193	C₁₃×#125	C₂³	1	4	yes	—
194	C₁₃×#125	C₂³	1	4	yes	—
195	C₁₃×#125	C₂³	1	4	yes	—
196	C₁₃×#125	C₂³	1	4	yes	—
197	C₁₃×#125	C₂³	1	8	yes	—
198	C₁₃×#125	C₂³	1	2	yes	—
199	C₁₃×#125	C₂³	1	2	yes	—
200	C₁₃×#125	C₂³	1	4	yes	—
201	C₁₃×#125	C₂³	1	2	yes	—
202	C₁₃×#125	C₂³	1	8	yes	—
203	C₁₃×#125	C₂³	1	8	yes	—
204	C₁₃×#125	C₂³	1	8	yes	—
205	C₁₃×#125	C₂³	1	8	yes	—
206	C₁₃×#125	C₂³	1	8	yes	—
207	C₁₃×#125	C₂³	1	8	yes	—
208	C₁₃×#125	C₂³	1	8	yes	—
209	C₁₃×#124	C₂³	1	4	yes	—
210	C₁₃×#124	C₂³	1	4	yes	—
211	C₁₃×#124	C₂³	1	4	yes	—
212	C₁₃×#124	C₂³	1	4	yes	—
213	C₁₃×#124	C₂³	1	8	yes	—
214	C₁₃×#124	C₂³	1	4	yes	—
215	C₁₃×#124	C₂³	1	4	yes	—
216	C₁₃×#124	C₂³	1	1	yes	characteristic
217	C₁₃×#124	C₂³	1	1	yes	characteristic
218	C₁₃×#124	C₂³	1	8	yes	—
219	C₁₃×#124	C₂³	1	8	yes	—
220	C₁₃×#124	C₂³	1	4	yes	—
221	C₁₃×#124	C₂³	1	4	yes	—
222	C₁₃×#124	C₂³	1	8	yes	—
223	C₁₃×#124	C₂³	1	8	yes	—
224	C₁₃×#124	C₂³	1	8	yes	—
225	C₁₃×#123	C₂³	1	8	yes	—
226	C₁₃×#123	C₂³	1	4	yes	—
227	C₁₃×#123	C₂³	1	8	yes	—
228	C₁₃×#123	C₂³	1	8	yes	—
229	C₁₃×#123	C₂³	1	8	yes	—
230	C₁₃×#123	C₂³	1	8	yes	—
231	C₁₃×#123	C₂³	1	8	yes	—
232	C₁₃×#123	C₂³	1	8	yes	—
233	C₁₃×#123	C₂³	1	8	yes	—
234	C₁₃×#123	C₂³	1	8	yes	—
235	C₁₃×#123	C₂³	1	8	yes	—
236	C₁₃×#123	C₂³	1	2	yes	—
237	C₁₃×#123	C₂³	1	4	yes	—
238	C₁₃×#123	C₂³	1	2	yes	—
239	C₁₃×#123	C₂³	1	8	yes	—
240	C₁₃×#123	C₂³	1	8	yes	—
241	C₁₃×#123	C₂³	1	8	yes	—
242	C₁₃×#123	C₂³	1	8	yes	—
243	C₁₃×#123	C₂³	1	4	yes	—
244	C₁₃×#123	C₂³	1	4	yes	—
245	C₁₃×#123	C₂³	1	8	yes	—
246	C₁₃×#123	C₂³	1	8	yes	—
247	C₁₃×#123	C₂³	1	8	yes	—
248	C₁₃×#123	C₂³	1	8	yes	—
249	C₁₃×#123	C₂³	1	8	yes	—
250	C₁₃×#123	C₂³	1	8	yes	—
251	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
252	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
261	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
262	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
263	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
267	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
268	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
270	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
271	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
272	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
273	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
274	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
275	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
276	C₁₃×#121	C₂³	1	4	yes	—
277	C₁₃×#121	C₂³	1	4	yes	—
278	C₁₃×#121	C₂³	1	4	yes	—
279	C₁₃×#121	C₂³	1	4	yes	—
280	C₁₃×#121	C₂³	1	2	yes	—
281	C₁₃×#121	C₂³	1	2	yes	—
282	C₁₃×#121	C₂³	1	4	yes	—
283	C₁₃×#121	C₂³	1	4	yes	—
284	C₁₃×#121	C₂³	1	8	yes	—
285	C₁₃×#121	C₂³	1	8	yes	—
286	C₁₃×#121	C₂³	1	8	yes	—
287	C₁₃×#121	C₂³	1	4	yes	—
288	C₁₃×#121	C₂³	1	8	yes	—
289	C₁₃×#121	C₂³	1	4	yes	—
290	C₁₃×#121	C₂³	1	8	yes	—
291	C₁₃×#121	C₂³	1	8	yes	—
292	C₁₃×#121	C₂³	1	8	yes	—
293	C₁₃×#121	C₂³	1	8	yes	—
294	C₁₃×#121	C₂³	1	8	yes	—
295	C₁₃×#121	C₂³	1	8	yes	—
296	C₁₃×#121	C₂³	1	8	yes	—
297	C₁₃×#121	C₂³	1	8	yes	—
298	C₁₃×#121	C₂³	1	8	yes	—
299	C₁₃×#120	C₂³	1	2	yes	—
300	C₁₃×#120	C₂³	1	2	yes	—
301	C₁₃×#120	C₂³	1	8	yes	—
302	C₁₃×#120	C₂³	1	8	yes	—
303	C₁₃×#120	C₂³	1	4	yes	—
304	C₁₃×#120	C₂³	1	8	yes	—
305	C₁₃×#120	C₂³	1	4	yes	—
306	C₁₃×#120	C₂³	1	8	yes	—
307	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
308	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
309	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
310	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
311	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
312	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
313	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
314	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
315	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
316	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
317	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
318	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
319	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
320	C₄×D₄×C₁₃	C₂³	1	8	yes	—
321	C₄×D₄×C₁₃	C₂³	1	4	yes	—
322	C₄×D₄×C₁₃	C₂³	1	4	yes	—
323	C₄×D₄×C₁₃	C₂³	1	8	yes	—
324	C₄×D₄×C₁₃	C₂³	1	8	yes	—
325	C₄×D₄×C₁₃	C₂³	1	4	yes	—
326	C₄×D₄×C₁₃	C₂³	1	4	yes	—
327	C₄×D₄×C₁₃	C₂³	1	8	yes	—
328	C₄×D₄×C₁₃	C₂³	1	4	yes	—
329	C₄×D₄×C₁₃	C₂³	1	4	yes	—
330	C₄×D₄×C₁₃	C₂³	1	4	yes	—
331	C₄×D₄×C₁₃	C₂³	1	4	yes	—
332	C₄×D₄×C₁₃	C₂³	1	4	yes	—
333	C₄×D₄×C₁₃	C₂³	1	4	yes	—
334	C₄×D₄×C₁₃	C₂³	1	4	yes	—
335	C₄×D₄×C₁₃	C₂³	1	4	yes	—
336	C₄×D₄×C₁₃	C₂³	1	2	yes	—
337	C₄×D₄×C₁₃	C₂³	1	2	yes	—
338	C₄×D₄×C₁₃	C₂³	1	8	yes	—
339	C₄×D₄×C₁₃	C₂³	1	8	yes	—
340	C₄×D₄×C₁₃	C₂³	1	8	yes	—
341	C₄×D₄×C₁₃	C₂³	1	8	yes	—
342	C₄×D₄×C₁₃	C₂³	1	8	yes	—
343	C₄×D₄×C₁₃	C₂³	1	8	yes	—
344	C₄×D₄×C₁₃	C₂³	1	4	yes	—
345	C₄×D₄×C₁₃	C₂³	1	8	yes	—
346	C₄×D₄×C₁₃	C₂³	1	8	yes	—
347	C₄×D₄×C₁₃	C₂³	1	8	yes	—
348	C₄×D₄×C₁₃	C₂³	1	8	yes	—
349	C₄×D₄×C₁₃	C₂³	1	8	yes	—
350	C₄×D₄×C₁₃	C₂³	1	8	yes	—
351	C₄×D₄×C₁₃	C₂³	1	4	yes	—
352	C₄×D₄×C₁₃	C₂³	1	8	yes	—
353	C₁₃×#117	C₂³	1	8	yes	—
354	C₁₃×#117	C₂³	1	8	yes	—
355	C₁₃×#117	C₂³	1	8	yes	—
356	C₁₃×#117	C₂³	1	8	yes	—
357	C₁₃×#117	C₂³	1	2	yes	—
358	C₁₃×#117	C₂³	1	2	yes	—
359	C₁₃×#117	C₂³	1	1	yes	characteristic
360	C₁₃×#117	C₂³	1	1	yes	characteristic
361	C₁₃×#117	C₂³	1	4	yes	—
362	C₁₃×#117	C₂³	1	4	yes	—
363	C₁₃×#117	C₂³	1	4	yes	—
364	C₁₃×#117	C₂³	1	8	yes	—
365	C₁₃×#117	C₂³	1	8	yes	—
366	C₁₃×#117	C₂³	1	2	yes	—
367	C₁₃×#117	C₂³	1	8	yes	—
368	C₁₃×#117	C₂³	1	2	yes	—
369	C₁₃×#117	C₂³	1	8	yes	—
370	C₁₃×#117	C₂³	1	8	yes	—
371	C₁₃×#117	C₂³	1	8	yes	—
372	C₁₃×#117	C₂³	1	8	yes	—
373	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
374	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
375	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
376	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
377	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
378	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
379	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
380	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
381	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
382	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
383	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
384	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
385	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
386	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
387	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
388	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
389	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
390	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
391	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
392	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
393	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
394	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
395	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
396	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
397	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
398	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
399	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
400	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
401	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
402	#62829	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
403	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
405	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
406	C₁₃×#41	—	4	2	no	—
407	C₁₃×#41	—	4	2	no	—
408	C₁₃×#41	—	4	8	no	—
409	C₁₃×#41	—	4	16	no	—
410	C₁₃×#41	—	4	8	no	—
411	C₂×Q₈×C₁₃	—	4	4	no	—
412	C₂×Q₈×C₁₃	—	4	4	no	—
413	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
414	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
416	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
417	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
418	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
419	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂×D₄×C₁₃	—	4	4	no	—
421	C₂×D₄×C₁₃	—	4	4	no	—
422	C₂×D₄×C₁₃	—	4	8	no	—
423	C₂×D₄×C₁₃	—	4	16	no	—
424	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
425	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
426	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
427	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
428	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
430	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
431	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
432	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
433	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
434	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
435	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
436	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
437	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
438	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
439	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₁₃	—	4	2	no	—
441	C₂²×C₄×C₁₃	—	4	4	no	—
442	C₂²×C₄×C₁₃	—	4	8	no	—
443	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
445	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
446	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
448	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
449	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
450	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
451	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
452	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
453	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
454	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
455	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
457	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
458	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
459	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
460	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
461	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
462	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
463	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
464	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
465	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
466	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
467	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
468	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
469	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
470	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
471	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
472	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
473	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
474	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
475	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
476	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
477	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
478	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
479	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
480	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
481	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
482	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
483	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
484	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
485	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
486	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
488	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
489	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
491	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
492	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
493	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
494	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
495	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
496	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
497	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
498	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
499	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
500	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
501	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
502	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
503	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
504	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
505	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
506	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
507	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
508	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
510	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
511	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
512	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
513	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
514	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
515	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
517	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
518	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
519	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
520	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
521	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
522	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
523	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
524	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
525	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
526	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
527	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
528	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₄²×C₁₃	C₂⁴	1	2	yes	—
531	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₄²×C₁₃	C₂⁴	1	2	yes	—
533	C₄²×C₁₃	C₂⁴	1	2	yes	—
534	C₄²×C₁₃	C₂⁴	1	2	yes	—
535	C₄²×C₁₃	C₂⁴	1	2	yes	—
536	C₄²×C₁₃	C₂⁴	1	2	yes	—
537	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₄²×C₁₃	C₂⁴	1	4	yes	—
539	C₄²×C₁₃	C₂⁴	1	8	yes	—
540	C₄²×C₁₃	C₂⁴	1	8	yes	—
541	C₄²×C₁₃	C₂⁴	1	4	yes	—
542	C₄²×C₁₃	C₂⁴	1	2	yes	—
543	C₄²×C₁₃	C₂⁴	1	2	yes	—
544	C₄²×C₁₃	C₂⁴	1	4	yes	—
545	C₄²×C₁₃	C₂⁴	1	8	yes	—
546	C₄²×C₁₃	C₂⁴	1	8	yes	—
547	C₄²×C₁₃	C₂⁴	1	4	yes	—
548	#3566	C₂×C₁₃	1	8	yes	complemented
549	#3564	C₂×C₁₃	1	4	yes	complemented
550	#3560	C₂×C₁₃	1	4	yes	complemented
551	#3557	C₂×C₁₃	1	2	yes	complemented
552	#3551	C₂×C₁₃	1	2	yes	complemented
553	#3538	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#3537	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#3536	C₂×C₁₃	1	2	yes	complemented
556	#3516	C₂×C₁₃	1	4	yes	complemented
557	#3515	C₂×C₁₃	1	4	yes	complemented
558	#3514	C₂×C₁₃	1	4	yes	complemented
559	#3513	C₂×C₁₃	1	8	yes	complemented
560	#3513	C₂×C₁₃	1	4	yes	complemented
561	#3512	C₂×C₁₃	1	2	yes	complemented
562	#3510	C₂×C₁₃	1	2	yes	complemented
563	#3493	C₂×C₁₃	1	4	yes	complemented
564	#3491	C₂×C₁₃	1	4	yes	complemented
565	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
566	C₂×#529	C₂×C₁₃	1	2	yes	complemented
567	C₂³×C₁₃	—	2	4	no	—
568	C₂³×C₁₃	—	2	8	no	—
569	C₂³×C₁₃	—	4	1	no	—
570	C₂³×C₁₃	—	4	4	no	—
571	C₂³×C₁₃	—	4	4	no	—
572	C₂³×C₁₃	—	4	4	no	—
573	C₂³×C₁₃	—	4	8	no	—
574	C₂³×C₁₃	C₂⁵	1	2	yes	—
575	C₂³×C₁₃	C₂⁵	1	8	yes	—
576	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
577	C₂³×C₁₃	C₂⁵	1	2	yes	—
578	C₂³×C₁₃	C₂⁵	1	2	yes	—
579	Q₈×C₁₃	—	2	8	no	—
580	Q₈×C₁₃	—	4	4	no	—
581	Q₈×C₁₃	—	4	4	no	—
582	Q₈×C₁₃	—	4	1	no	—
583	Q₈×C₁₃	—	4	8	no	—
584	Q₈×C₁₃	—	4	1	no	—
585	Q₈×C₁₃	—	4	4	no	—
586	D₄×C₁₃	—	2	16	no	—
587	D₄×C₁₃	—	2	8	no	—
588	D₄×C₁₃	—	2	8	no	—
589	D₄×C₁₃	—	2	8	no	—
590	D₄×C₁₃	—	4	4	no	—
591	D₄×C₁₃	—	4	4	no	—
592	D₄×C₁₃	—	4	8	no	—
593	D₄×C₁₃	—	4	8	no	—
594	D₄×C₁₃	—	4	8	no	—
595	D₄×C₁₃	—	4	2	no	—
596	D₄×C₁₃	—	4	8	no	—
597	D₄×C₁₃	—	4	1	no	—
598	D₄×C₁₃	—	4	1	no	—
599	D₄×C₁₃	—	4	4	no	—
600	D₄×C₁₃	—	4	2	no	—
601	D₄×C₁₃	—	4	8	no	—
602	C₂×C₄×C₁₃	—	2	4	no	—
603	C₂×C₄×C₁₃	—	2	4	no	—
604	C₂×C₄×C₁₃	—	2	8	no	—
605	C₂×C₄×C₁₃	—	2	4	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	4	no	—
608	C₂×C₄×C₁₃	—	2	4	no	—
609	C₂×C₄×C₁₃	—	4	2	no	—
610	C₂×C₄×C₁₃	—	4	2	no	—
611	C₂×C₄×C₁₃	—	4	8	no	—
612	C₂×C₄×C₁₃	—	4	8	no	—
613	C₂×C₄×C₁₃	—	4	2	no	—
614	C₂×C₄×C₁₃	—	4	2	no	—
615	C₂×C₄×C₁₃	—	4	2	no	—
616	C₂×C₄×C₁₃	—	4	1	no	—
617	C₂×C₄×C₁₃	—	4	4	no	—
618	C₂×C₄×C₁₃	—	4	8	no	—
619	C₂×C₄×C₁₃	—	4	4	no	—
620	C₂×C₄×C₁₃	—	4	4	no	—
621	C₂×C₄×C₁₃	—	4	4	no	—
622	C₂×C₄×C₁₃	—	4	4	no	—
623	C₂×C₄×C₁₃	—	4	8	no	—
624	C₂×C₄×C₁₃	—	4	8	no	—
625	C₂×C₄×C₁₃	—	4	8	no	—
626	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
627	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
628	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
629	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
630	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
631	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
632	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
633	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
634	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
635	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
636	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
637	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
638	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
639	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
640	#563	C₂²×C₁₃	1	4	yes	complemented
641	#563	C₂²×C₁₃	1	4	yes	complemented
642	#563	C₂²×C₁₃	1	8	yes	complemented
643	#562	C₂²×C₁₃	1	8	yes	complemented
644	#560	C₂²×C₁₃	1	4	yes	—
645	#560	C₂²×C₁₃	1	4	yes	complemented
646	#559	C₂²×C₁₃	1	8	yes	complemented
647	#559	C₂²×C₁₃	1	4	yes	complemented
648	#557	C₂²×C₁₃	1	4	yes	complemented
649	#556	C₂²×C₁₃	1	8	yes	complemented
650	#556	C₂²×C₁₃	1	8	yes	complemented
651	#556	C₂²×C₁₃	1	4	yes	complemented
652	#555	C₂²×C₁₃	1	4	yes	complemented
653	#555	C₂²×C₁₃	1	8	yes	complemented
654	#554	C₂²×C₁₃	1	4	yes	complemented
655	#554	C₂²×C₁₃	1	8	yes	complemented
656	#554	C₂²×C₁₃	1	4	yes	complemented
657	#553	C₂²×C₁₃	1	4	yes	—
658	#553	C₂²×C₁₃	1	8	yes	complemented
659	#553	C₂²×C₁₃	1	8	yes	complemented
660	#553	C₂²×C₁₃	1	8	yes	complemented
661	#553	C₂²×C₁₃	1	8	yes	complemented
662	#553	C₂²×C₁₃	1	4	yes	complemented
663	#553	C₂²×C₁₃	1	8	yes	complemented
664	#552	C₂²×C₁₃	1	8	yes	complemented
665	#552	C₂²×C₁₃	1	8	yes	complemented
666	#552	C₂²×C₁₃	1	8	yes	complemented
667	#552	C₂²×C₁₃	1	8	yes	complemented
668	#552	C₂²×C₁₃	1	8	yes	complemented
669	#552	C₂²×C₁₃	1	4	yes	complemented
670	#552	C₂²×C₁₃	1	8	yes	complemented
671	#552	C₂²×C₁₃	1	4	yes	complemented
672	#551	C₂²×C₁₃	1	4	yes	complemented
673	#551	C₂²×C₁₃	1	8	yes	complemented
674	#551	C₂²×C₁₃	1	8	yes	complemented
675	#551	C₂²×C₁₃	1	8	yes	complemented
676	#551	C₂²×C₁₃	1	8	yes	complemented
677	#551	C₂²×C₁₃	1	4	yes	complemented
678	#551	C₂²×C₁₃	1	8	yes	complemented
679	#551	C₂²×C₁₃	1	8	yes	complemented
680	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
681	#548	C₂²×C₁₃	1	4	yes	complemented
682	#548	C₂²×C₁₃	1	4	yes	complemented
683	#547	C₂²×C₁₃	1	4	yes	complemented
684	#547	C₂²×C₁₃	1	8	yes	complemented
685	#546	C₂²×C₁₃	1	8	yes	complemented
686	#546	C₂²×C₁₃	1	8	yes	complemented
687	#546	C₂²×C₁₃	1	4	yes	complemented
688	#546	C₂²×C₁₃	1	4	yes	complemented
689	#546	C₂²×C₁₃	1	8	yes	complemented
690	D₄²	C₂²×C₁₃	1	4	yes	—
691	D₄²	C₂²×C₁₃	1	4	yes	—
692	#544	C₂²×C₁₃	1	4	yes	complemented
693	#543	C₂²×C₁₃	1	4	yes	complemented
694	#542	C₂²×C₁₃	1	4	yes	complemented
695	#542	C₂²×C₁₃	1	4	yes	complemented
696	#542	C₂²×C₁₃	1	8	yes	complemented
697	#542	C₂²×C₁₃	1	8	yes	complemented
698	#542	C₂²×C₁₃	1	8	yes	complemented
699	#541	C₂²×C₁₃	1	2	yes	complemented
700	#541	C₂²×C₁₃	1	2	yes	complemented
701	#541	C₂²×C₁₃	1	8	yes	complemented
702	#541	C₂²×C₁₃	1	8	yes	complemented
703	#540	C₂²×C₁₃	1	2	yes	—
704	#540	C₂²×C₁₃	1	2	yes	complemented
705	#540	C₂²×C₁₃	1	8	yes	complemented
706	#539	C₂²×C₁₃	1	8	yes	complemented
707	#539	C₂²×C₁₃	1	4	yes	complemented
708	#539	C₂²×C₁₃	1	4	yes	complemented
709	#539	C₂²×C₁₃	1	8	yes	complemented
710	#539	C₂²×C₁₃	1	8	yes	complemented
711	#539	C₂²×C₁₃	1	8	yes	complemented
712	#538	C₂²×C₁₃	1	4	yes	—
713	#538	C₂²×C₁₃	1	8	yes	complemented
714	#538	C₂²×C₁₃	1	4	yes	complemented
715	#538	C₂²×C₁₃	1	8	yes	complemented
716	#538	C₂²×C₁₃	1	8	yes	complemented
717	#538	C₂²×C₁₃	1	8	yes	complemented
718	#537	C₂²×C₁₃	1	4	yes	complemented
719	#537	C₂²×C₁₃	1	4	yes	complemented
720	#536	C₂²×C₁₃	1	2	yes	complemented
721	#535	C₂²×C₁₃	1	2	yes	—
722	#534	C₂²×C₁₃	1	4	yes	—
723	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	#533	C₂²×C₁₃	1	2	yes	complemented
725	#533	C₂²×C₁₃	1	2	yes	complemented
726	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	#532	C₂²×C₁₃	1	2	yes	complemented
728	#532	C₂²×C₁₃	1	2	yes	complemented
729	#529	C₂²×C₁₃	1	4	yes	complemented
730	#529	C₂²×C₁₃	1	4	yes	complemented
731	#529	C₂²×C₁₃	1	4	yes	complemented
732	#529	C₂²×C₁₃	1	4	yes	complemented
733	#529	C₂²×C₁₃	1	4	yes	complemented
734	#529	C₂²×C₁₃	1	4	yes	complemented
735	#529	C₂²×C₁₃	1	4	yes	complemented
736	#529	C₂²×C₁₃	1	4	yes	complemented
737	#529	C₂²×C₁₃	1	2	yes	complemented
738	#529	C₂²×C₁₃	1	2	yes	complemented
739	#529	C₂²×C₁₃	1	4	yes	complemented
740	#529	C₂²×C₁₃	1	4	yes	complemented
741	#529	C₂²×C₁₃	1	8	yes	complemented
742	#529	C₂²×C₁₃	1	8	yes	complemented
743	#529	C₂²×C₁₃	1	4	yes	complemented
744	#529	C₂²×C₁₃	1	4	yes	complemented
745	C₂×#126	C₂²×C₁₃	1	4	yes	complemented
746	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
747	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
748	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
749	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
750	#525	C₂²×C₁₃	1	1	yes	characteristic
751	#525	C₂²×C₁₃	1	4	yes	complemented
752	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
753	#525	C₂²×C₁₃	1	8	yes	complemented
754	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
755	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
756	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
757	C₂×#121	C₂²×C₁₃	1	2	yes	—
758	#520	C₂²×C₁₃	1	8	yes	complemented
759	#520	C₂²×C₁₃	1	4	yes	complemented
760	#519	C₂²×C₁₃	1	2	yes	complemented
761	#518	C₂²×C₁₃	1	8	yes	complemented
762	#518	C₂²×C₁₃	1	2	yes	complemented
763	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
766	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
767	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
768	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
769	C₂×#117	C₂²×C₁₃	1	4	yes	complemented
770	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
771	C₂²×C₁₃	—	2	2	no	—
772	C₂²×C₁₃	—	2	2	no	—
773	C₂²×C₁₃	—	2	2	no	—
774	C₂²×C₁₃	—	2	1	no	—
775	C₂²×C₁₃	—	2	2	no	—
776	C₂²×C₁₃	—	2	4	no	—
777	C₂²×C₁₃	—	2	8	no	—
778	C₂²×C₁₃	—	2	2	no	—
779	C₂²×C₁₃	—	2	8	no	—
780	C₂²×C₁₃	—	2	8	no	—
781	C₂²×C₁₃	—	2	4	no	—
782	C₂²×C₁₃	—	4	4	no	—
783	C₂²×C₁₃	—	8	8	no	—
784	C₂²×C₁₃	—	16	4	no	—
785	C₂²×C₁₃	#585	1	4	yes	—
786	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
787	C₄×C₁₃	—	2	2	no	—
788	C₄×C₁₃	—	2	2	no	—
789	C₄×C₁₃	—	2	2	no	—
790	C₄×C₁₃	—	2	8	no	—
791	C₄×C₁₃	—	2	2	no	—
792	C₄×C₁₃	—	2	2	no	—
793	C₄×C₁₃	—	2	2	no	—
794	C₄×C₁₃	—	2	1	no	—
795	C₄×C₁₃	—	2	2	no	—
796	C₄×C₁₃	—	2	8	no	—
797	C₄×C₁₃	—	2	4	no	—
798	C₄×C₁₃	—	2	4	no	—
799	C₄×C₁₃	—	2	8	no	—
800	C₄×C₁₃	#585	1	2	yes	—
801	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
802	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
803	C₂×#41	C₂³×C₁₃	1	4	yes	—
804	C₂×#41	C₂³×C₁₃	1	8	yes	—
805	C₂×#41	C₂³×C₁₃	1	4	yes	—
806	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
807	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
808	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
809	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
810	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
811	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
812	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
813	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
814	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
815	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
816	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
817	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
818	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
819	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
820	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
821	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
822	#127	C₂³×C₁₃	1	1	yes	characteristic
823	#127	C₂³×C₁₃	1	2	yes	—
824	#127	C₂³×C₁₃	1	4	yes	—
825	#126	C₂³×C₁₃	1	8	yes	—
826	#126	C₂³×C₁₃	1	8	yes	—
827	#126	C₂³×C₁₃	1	8	yes	—
828	#126	C₂³×C₁₃	1	8	yes	—
829	#126	C₂³×C₁₃	1	4	yes	—
830	#126	C₂³×C₁₃	1	4	yes	—
831	#126	C₂³×C₁₃	1	8	yes	—
832	#126	C₂³×C₁₃	1	8	yes	—
833	#126	C₂³×C₁₃	1	8	yes	—
834	#126	C₂³×C₁₃	1	8	yes	—
835	#126	C₂³×C₁₃	1	8	yes	—
836	#126	C₂³×C₁₃	1	8	yes	—
837	#126	C₂³×C₁₃	1	8	yes	—
838	#126	C₂³×C₁₃	1	8	yes	—
839	#126	C₂³×C₁₃	1	8	yes	—
840	#126	C₂³×C₁₃	1	8	yes	—
841	#126	C₂³×C₁₃	1	8	yes	—
842	#126	C₂³×C₁₃	1	8	yes	—
843	#125	C₂³×C₁₃	1	4	yes	—
844	#125	C₂³×C₁₃	1	4	yes	—
845	#125	C₂³×C₁₃	1	4	yes	—
846	#125	C₂³×C₁₃	1	4	yes	—
847	#125	C₂³×C₁₃	1	8	yes	—
848	#125	C₂³×C₁₃	1	2	yes	—
849	#125	C₂³×C₁₃	1	2	yes	—
850	#125	C₂³×C₁₃	1	4	yes	—
851	#125	C₂³×C₁₃	1	2	yes	—
852	#125	C₂³×C₁₃	1	8	yes	—
853	#125	C₂³×C₁₃	1	8	yes	—
854	#125	C₂³×C₁₃	1	8	yes	—
855	#125	C₂³×C₁₃	1	8	yes	—
856	#125	C₂³×C₁₃	1	8	yes	—
857	#125	C₂³×C₁₃	1	8	yes	—
858	#125	C₂³×C₁₃	1	8	yes	—
859	#124	C₂³×C₁₃	1	4	yes	—
860	#124	C₂³×C₁₃	1	4	yes	—
861	#124	C₂³×C₁₃	1	4	yes	—
862	#124	C₂³×C₁₃	1	4	yes	—
863	#124	C₂³×C₁₃	1	8	yes	—
864	#124	C₂³×C₁₃	1	4	yes	—
865	#124	C₂³×C₁₃	1	4	yes	—
866	#124	C₂³×C₁₃	1	1	yes	characteristic
867	#124	C₂³×C₁₃	1	1	yes	characteristic
868	#124	C₂³×C₁₃	1	8	yes	—
869	#124	C₂³×C₁₃	1	8	yes	—
870	#124	C₂³×C₁₃	1	4	yes	—
871	#124	C₂³×C₁₃	1	4	yes	—
872	#124	C₂³×C₁₃	1	8	yes	—
873	#124	C₂³×C₁₃	1	8	yes	—
874	#124	C₂³×C₁₃	1	8	yes	—
875	#123	C₂³×C₁₃	1	8	yes	—
876	#123	C₂³×C₁₃	1	4	yes	—
877	#123	C₂³×C₁₃	1	8	yes	—
878	#123	C₂³×C₁₃	1	8	yes	—
879	#123	C₂³×C₁₃	1	8	yes	—
880	#123	C₂³×C₁₃	1	8	yes	—
881	#123	C₂³×C₁₃	1	8	yes	—
882	#123	C₂³×C₁₃	1	8	yes	—
883	#123	C₂³×C₁₃	1	8	yes	—
884	#123	C₂³×C₁₃	1	8	yes	—
885	#123	C₂³×C₁₃	1	8	yes	—
886	#123	C₂³×C₁₃	1	2	yes	—
887	#123	C₂³×C₁₃	1	4	yes	—
888	#123	C₂³×C₁₃	1	2	yes	—
889	#123	C₂³×C₁₃	1	8	yes	—
890	#123	C₂³×C₁₃	1	8	yes	—
891	#123	C₂³×C₁₃	1	8	yes	—
892	#123	C₂³×C₁₃	1	8	yes	—
893	#123	C₂³×C₁₃	1	4	yes	—
894	#123	C₂³×C₁₃	1	4	yes	—
895	#123	C₂³×C₁₃	1	8	yes	—
896	#123	C₂³×C₁₃	1	8	yes	—
897	#123	C₂³×C₁₃	1	8	yes	—
898	#123	C₂³×C₁₃	1	8	yes	—
899	#123	C₂³×C₁₃	1	8	yes	—
900	#123	C₂³×C₁₃	1	8	yes	—
901	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
902	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
903	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
904	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
905	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
906	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
907	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
908	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
909	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
910	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
911	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
912	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
913	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
914	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
915	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
916	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
917	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
918	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
919	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
920	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
921	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
922	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
923	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
924	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
925	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
926	#121	C₂³×C₁₃	1	4	yes	—
927	#121	C₂³×C₁₃	1	4	yes	—
928	#121	C₂³×C₁₃	1	4	yes	—
929	#121	C₂³×C₁₃	1	4	yes	—
930	#121	C₂³×C₁₃	1	2	yes	—
931	#121	C₂³×C₁₃	1	2	yes	—
932	#121	C₂³×C₁₃	1	4	yes	—
933	#121	C₂³×C₁₃	1	4	yes	—
934	#121	C₂³×C₁₃	1	8	yes	—
935	#121	C₂³×C₁₃	1	8	yes	—
936	#121	C₂³×C₁₃	1	8	yes	—
937	#121	C₂³×C₁₃	1	4	yes	—
938	#121	C₂³×C₁₃	1	8	yes	—
939	#121	C₂³×C₁₃	1	4	yes	—
940	#121	C₂³×C₁₃	1	8	yes	—
941	#121	C₂³×C₁₃	1	8	yes	—
942	#121	C₂³×C₁₃	1	8	yes	—
943	#121	C₂³×C₁₃	1	8	yes	—
944	#121	C₂³×C₁₃	1	8	yes	—
945	#121	C₂³×C₁₃	1	8	yes	—
946	#121	C₂³×C₁₃	1	8	yes	—
947	#121	C₂³×C₁₃	1	8	yes	—
948	#121	C₂³×C₁₃	1	8	yes	—
949	#120	C₂³×C₁₃	1	2	yes	—
950	#120	C₂³×C₁₃	1	2	yes	—
951	#120	C₂³×C₁₃	1	8	yes	—
952	#120	C₂³×C₁₃	1	8	yes	—
953	#120	C₂³×C₁₃	1	4	yes	—
954	#120	C₂³×C₁₃	1	8	yes	—
955	#120	C₂³×C₁₃	1	4	yes	—
956	#120	C₂³×C₁₃	1	8	yes	—
957	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
958	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
959	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
960	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
961	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
962	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
963	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
964	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
965	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
966	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
967	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
968	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
969	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
970	C₄×D₄	C₂³×C₁₃	1	8	yes	—
971	C₄×D₄	C₂³×C₁₃	1	4	yes	—
972	C₄×D₄	C₂³×C₁₃	1	4	yes	—
973	C₄×D₄	C₂³×C₁₃	1	8	yes	—
974	C₄×D₄	C₂³×C₁₃	1	8	yes	—
975	C₄×D₄	C₂³×C₁₃	1	4	yes	—
976	C₄×D₄	C₂³×C₁₃	1	4	yes	—
977	C₄×D₄	C₂³×C₁₃	1	8	yes	—
978	C₄×D₄	C₂³×C₁₃	1	4	yes	—
979	C₄×D₄	C₂³×C₁₃	1	4	yes	—
980	C₄×D₄	C₂³×C₁₃	1	4	yes	—
981	C₄×D₄	C₂³×C₁₃	1	4	yes	—
982	C₄×D₄	C₂³×C₁₃	1	4	yes	—
983	C₄×D₄	C₂³×C₁₃	1	4	yes	—
984	C₄×D₄	C₂³×C₁₃	1	4	yes	—
985	C₄×D₄	C₂³×C₁₃	1	4	yes	—
986	C₄×D₄	C₂³×C₁₃	1	2	yes	—
987	C₄×D₄	C₂³×C₁₃	1	2	yes	—
988	C₄×D₄	C₂³×C₁₃	1	8	yes	—
989	C₄×D₄	C₂³×C₁₃	1	8	yes	—
990	C₄×D₄	C₂³×C₁₃	1	8	yes	—
991	C₄×D₄	C₂³×C₁₃	1	8	yes	—
992	C₄×D₄	C₂³×C₁₃	1	8	yes	—
993	C₄×D₄	C₂³×C₁₃	1	8	yes	—
994	C₄×D₄	C₂³×C₁₃	1	4	yes	—
995	C₄×D₄	C₂³×C₁₃	1	8	yes	—
996	C₄×D₄	C₂³×C₁₃	1	8	yes	—
997	C₄×D₄	C₂³×C₁₃	1	8	yes	—
998	C₄×D₄	C₂³×C₁₃	1	8	yes	—
999	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1000	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1001	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1002	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1003	#117	C₂³×C₁₃	1	8	yes	—
1004	#117	C₂³×C₁₃	1	8	yes	—
1005	#117	C₂³×C₁₃	1	8	yes	—
1006	#117	C₂³×C₁₃	1	8	yes	—
1007	#117	C₂³×C₁₃	1	2	yes	—
1008	#117	C₂³×C₁₃	1	2	yes	—
1009	#117	C₂³×C₁₃	1	1	yes	characteristic
1010	#117	C₂³×C₁₃	1	1	yes	characteristic
1011	#117	C₂³×C₁₃	1	4	yes	—
1012	#117	C₂³×C₁₃	1	4	yes	—
1013	#117	C₂³×C₁₃	1	4	yes	—
1014	#117	C₂³×C₁₃	1	8	yes	—
1015	#117	C₂³×C₁₃	1	8	yes	—
1016	#117	C₂³×C₁₃	1	2	yes	—
1017	#117	C₂³×C₁₃	1	8	yes	—
1018	#117	C₂³×C₁₃	1	2	yes	—
1019	#117	C₂³×C₁₃	1	8	yes	—
1020	#117	C₂³×C₁₃	1	8	yes	—
1021	#117	C₂³×C₁₃	1	8	yes	—
1022	#117	C₂³×C₁₃	1	8	yes	—
1023	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1024	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1025	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1026	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1027	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1028	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1029	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1030	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1031	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1032	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1033	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1034	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1035	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1036	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1037	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1038	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1039	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1040	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1041	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1042	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1043	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1044	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1045	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1046	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1047	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1048	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1050	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1051	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×C₁₃	—	2	4	no	—
1053	C₂×C₁₃	—	4	2	no	—
1054	C₂×C₁₃	—	4	1	no	—
1055	C₂×C₁₃	—	4	8	no	—
1056	C₂×C₁₃	—	4	2	no	—
1057	C₂×C₁₃	C₂×#585	1	2	yes	—
1058	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1059	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1061	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1062	#41	—	4	2	no	—
1063	#41	—	4	2	no	—
1064	#41	—	4	8	no	—
1065	#41	—	4	16	no	—
1066	#41	—	4	8	no	—
1067	C₂×Q₈	—	4	4	no	—
1068	C₂×Q₈	—	4	4	no	—
1069	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1070	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1071	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1072	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1073	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1074	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1075	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1076	C₂×D₄	—	4	4	no	—
1077	C₂×D₄	—	4	4	no	—
1078	C₂×D₄	—	4	8	no	—
1079	C₂×D₄	—	4	16	no	—
1080	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1081	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1082	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1083	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1084	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1085	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1086	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1087	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1088	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1089	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1090	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1091	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1092	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1093	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1094	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1095	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1096	C₂²×C₄	—	4	2	no	—
1097	C₂²×C₄	—	4	4	no	—
1098	C₂²×C₄	—	4	8	no	—
1099	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1100	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1101	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1102	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1104	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1105	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1106	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1107	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1108	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1109	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1110	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1111	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1113	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1114	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1115	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1116	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1117	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1118	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1119	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1120	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1121	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1122	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1123	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1124	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1125	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1126	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1127	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1128	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1129	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1130	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1131	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1132	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1133	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1134	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1135	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1136	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1137	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1138	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1139	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1140	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1141	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1142	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1143	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1144	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1145	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1146	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1147	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1148	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1149	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1150	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1151	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1152	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1153	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1154	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1155	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1156	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1157	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1158	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1159	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1160	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1161	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1162	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1163	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1164	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1165	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1166	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1167	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1168	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1169	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1170	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1171	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1172	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1173	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1174	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1175	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1176	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1177	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1178	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1179	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1180	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1181	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1182	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1183	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1184	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1185	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₄²	C₂⁴×C₁₃	1	2	yes	—
1187	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1188	C₄²	C₂⁴×C₁₃	1	2	yes	—
1189	C₄²	C₂⁴×C₁₃	1	2	yes	—
1190	C₄²	C₂⁴×C₁₃	1	2	yes	—
1191	C₄²	C₂⁴×C₁₃	1	2	yes	—
1192	C₄²	C₂⁴×C₁₃	1	2	yes	—
1193	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1194	C₄²	C₂⁴×C₁₃	1	4	yes	—
1195	C₄²	C₂⁴×C₁₃	1	8	yes	—
1196	C₄²	C₂⁴×C₁₃	1	8	yes	—
1197	C₄²	C₂⁴×C₁₃	1	4	yes	—
1198	C₄²	C₂⁴×C₁₃	1	2	yes	—
1199	C₄²	C₂⁴×C₁₃	1	2	yes	—
1200	C₄²	C₂⁴×C₁₃	1	4	yes	—
1201	C₄²	C₂⁴×C₁₃	1	8	yes	—
1202	C₄²	C₂⁴×C₁₃	1	8	yes	—
1203	C₄²	C₂⁴×C₁₃	1	4	yes	—
1204	C₁₃	#62829	1	1	yes	characteristic, direct product factor, Sylow
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	8	no	—
1207	C₂³	—	4	1	no	—
1208	C₂³	—	4	4	no	—
1209	C₂³	—	4	4	no	—
1210	C₂³	—	4	4	no	—
1211	C₂³	—	4	8	no	—
1212	C₂³	C₂⁵×C₁₃	1	2	yes	—
1213	C₂³	C₂⁵×C₁₃	1	8	yes	—
1214	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1215	C₂³	C₂⁵×C₁₃	1	2	yes	—
1216	C₂³	C₂⁵×C₁₃	1	2	yes	—
1217	Q₈	—	2	8	no	—
1218	Q₈	—	4	4	no	—
1219	Q₈	—	4	4	no	—
1220	Q₈	—	4	1	no	—
1221	Q₈	—	4	8	no	—
1222	Q₈	—	4	1	no	—
1223	Q₈	—	4	4	no	—
1224	D₄	—	2	16	no	—
1225	D₄	—	2	8	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	4	4	no	—
1229	D₄	—	4	4	no	—
1230	D₄	—	4	8	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	4	8	no	—
1233	D₄	—	4	2	no	—
1234	D₄	—	4	8	no	—
1235	D₄	—	4	1	no	—
1236	D₄	—	4	1	no	—
1237	D₄	—	4	4	no	—
1238	D₄	—	4	2	no	—
1239	D₄	—	4	8	no	—
1240	C₂×C₄	—	2	4	no	—
1241	C₂×C₄	—	2	4	no	—
1242	C₂×C₄	—	2	8	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	4	no	—
1246	C₂×C₄	—	2	4	no	—
1247	C₂×C₄	—	4	2	no	—
1248	C₂×C₄	—	4	2	no	—
1249	C₂×C₄	—	4	8	no	—
1250	C₂×C₄	—	4	8	no	—
1251	C₂×C₄	—	4	2	no	—
1252	C₂×C₄	—	4	2	no	—
1253	C₂×C₄	—	4	2	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	4	no	—
1256	C₂×C₄	—	4	8	no	—
1257	C₂×C₄	—	4	4	no	—
1258	C₂×C₄	—	4	4	no	—
1259	C₂×C₄	—	4	4	no	—
1260	C₂×C₄	—	4	4	no	—
1261	C₂×C₄	—	4	8	no	—
1262	C₂×C₄	—	4	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1265	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1266	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1267	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1268	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1269	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1270	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1271	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1272	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1273	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1274	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1275	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1276	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1277	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	2	no	—
1280	C₂²	—	2	2	no	—
1281	C₂²	—	2	1	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	4	no	—
1284	C₂²	—	2	8	no	—
1285	C₂²	—	2	2	no	—
1286	C₂²	—	2	8	no	—
1287	C₂²	—	2	8	no	—
1288	C₂²	—	2	4	no	—
1289	C₂²	—	4	4	no	—
1290	C₂²	—	8	8	no	—
1291	C₂²	—	16	4	no	—
1292	C₂²	C₁₃×#585	1	4	yes	—
1293	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	2	8	no	—
1298	C₄	—	2	2	no	—
1299	C₄	—	2	2	no	—
1300	C₄	—	2	2	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	2	8	no	—
1304	C₄	—	2	4	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	2	8	no	—
1307	C₄	C₁₃×#585	1	2	yes	—
1308	C₂	—	2	4	no	—
1309	C₂	—	4	1	no	—
1310	C₂	—	4	8	no	—
1311	C₂	—	4	2	no	—
1312	C₂	—	4	2	no	—
1313	C₂	C₂×C₁₃×#585	1	2	yes	—
1314	C₂	C₂×C₁₃×#585	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×#3566	C₂	semidirect
2. C₁₃×#3564	C₂	semidirect
3. C₁₃×#3560	C₂	semidirect
4. C₁₃×#3557	C₂	semidirect
5. C₁₃×#3551	C₂	semidirect
6. C₁₃×#3538	C₂	semidirect
7. C₁₃×#3537	C₂	semidirect
8. C₁₃×#3536	C₂	semidirect
9. C₁₃×#3516	C₂	semidirect
10. C₁₃×#3515	C₂	semidirect
11. C₁₃×#3514	C₂	semidirect
12. C₁₃×#3513	C₂	semidirect
13. C₁₃×#3513	C₂	semidirect
14. C₁₃×#3512	C₂	semidirect
15. C₁₃×#3510	C₂	semidirect
16. C₁₃×#3493	C₂	semidirect
17. C₁₃×#3491	C₂	semidirect
18. C₁₃×#3444	C₂	semidirect
19. C₂×C₁₃×#529	C₂	semidirect
20. C₁₃×#563	C₂²	semidirect
21. C₁₃×#563	C₂²	semidirect
22. C₁₃×#563	C₂²	semidirect
23. C₁₃×#562	C₂²	semidirect
25. C₁₃×#560	C₂²	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#559	C₂²	semidirect
28. C₁₃×#557	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
32. C₁₃×#555	C₂²	semidirect
33. C₁₃×#555	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
38. C₁₃×#553	C₂²	semidirect
39. C₁₃×#553	C₂²	semidirect
40. C₁₃×#553	C₂²	semidirect
41. C₁₃×#553	C₂²	semidirect
42. C₁₃×#553	C₂²	semidirect
43. C₁₃×#553	C₂²	semidirect
44. C₁₃×#552	C₂²	semidirect
45. C₁₃×#552	C₂²	semidirect
46. C₁₃×#552	C₂²	semidirect
47. C₁₃×#552	C₂²	semidirect
48. C₁₃×#552	C₂²	semidirect
49. C₁₃×#552	C₂²	semidirect
50. C₁₃×#552	C₂²	semidirect
51. C₁₃×#552	C₂²	semidirect
52. C₁₃×#551	C₂²	semidirect
53. C₁₃×#551	C₂²	semidirect
54. C₁₃×#551	C₂²	semidirect
55. C₁₃×#551	C₂²	semidirect
56. C₁₃×#551	C₂²	semidirect
57. C₁₃×#551	C₂²	semidirect
58. C₁₃×#551	C₂²	semidirect
59. C₁₃×#551	C₂²	semidirect
60. D₄×Q₈×C₁₃	C₂²	semidirect
61. C₁₃×#548	C₂²	semidirect
62. C₁₃×#548	C₂²	semidirect
63. C₁₃×#547	C₂²	semidirect
64. C₁₃×#547	C₂²	semidirect
65. C₁₃×#546	C₂²	semidirect
66. C₁₃×#546	C₂²	semidirect
67. C₁₃×#546	C₂²	semidirect
68. C₁₃×#546	C₂²	semidirect
69. C₁₃×#546	C₂²	semidirect
72. C₁₃×#544	C₂²	semidirect
73. C₁₃×#543	C₂²	semidirect
74. C₁₃×#542	C₂²	semidirect
75. C₁₃×#542	C₂²	semidirect
76. C₁₃×#542	C₂²	semidirect
77. C₁₃×#542	C₂²	semidirect
78. C₁₃×#542	C₂²	semidirect
79. C₁₃×#541	C₂²	semidirect
80. C₁₃×#541	C₂²	semidirect
81. C₁₃×#541	C₂²	semidirect
82. C₁₃×#541	C₂²	semidirect
84. C₁₃×#540	C₂²	semidirect
85. C₁₃×#540	C₂²	semidirect
86. C₁₃×#539	C₂²	semidirect
87. C₁₃×#539	C₂²	semidirect
88. C₁₃×#539	C₂²	semidirect
89. C₁₃×#539	C₂²	semidirect
90. C₁₃×#539	C₂²	semidirect
91. C₁₃×#539	C₂²	semidirect
93. C₁₃×#538	C₂²	semidirect
94. C₁₃×#538	C₂²	semidirect
95. C₁₃×#538	C₂²	semidirect
96. C₁₃×#538	C₂²	semidirect
97. C₁₃×#538	C₂²	semidirect
98. C₁₃×#537	C₂²	semidirect
99. C₁₃×#537	C₂²	semidirect
100. C₁₃×#536	C₂²	semidirect
103. C₁₃×#533	C₂²	semidirect
104. C₁₃×#533	C₂²	semidirect
105. C₁₃×#533	C₂²	semidirect
106. C₁₃×#532	C₂²	semidirect
107. C₁₃×#532	C₂²	semidirect
108. C₁₃×#532	C₂²	semidirect
109. C₁₃×#529	C₂²	semidirect
110. C₁₃×#529	C₂²	semidirect
111. C₁₃×#529	C₂²	semidirect
112. C₁₃×#529	C₂²	semidirect
113. C₁₃×#529	C₂²	semidirect
114. C₁₃×#529	C₂²	semidirect
115. C₁₃×#529	C₂²	semidirect
116. C₁₃×#529	C₂²	semidirect
117. C₁₃×#529	C₂²	semidirect
118. C₁₃×#529	C₂²	semidirect
119. C₁₃×#529	C₂²	semidirect
120. C₁₃×#529	C₂²	semidirect
121. C₁₃×#529	C₂²	semidirect
122. C₁₃×#529	C₂²	semidirect
123. C₁₃×#529	C₂²	semidirect
124. C₁₃×#529	C₂²	semidirect
125. C₂×C₁₃×#126	C₂²	semidirect
126. C₂×C₁₃×#125	C₂²	semidirect
127. C₂×C₁₃×#125	C₂²	semidirect
128. C₂×C₁₃×#124	C₂²	semidirect
129. C₂×C₁₃×#124	C₂²	semidirect
131. C₁₃×#525	C₂²	semidirect
132. C₁₃×#525	C₂²	semidirect
133. C₁₃×#525	C₂²	semidirect
134. C₂×C₁₃×#123	C₂²	semidirect
135. C₂×C₁₃×#123	C₂²	semidirect
136. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
138. C₁₃×#520	C₂²	semidirect
139. C₁₃×#520	C₂²	semidirect
140. C₁₃×#519	C₂²	semidirect
141. C₁₃×#518	C₂²	semidirect
142. C₁₃×#518	C₂²	semidirect
143. C₄×C₁₃×#41	C₂²	semidirect
144. C₄×C₁₃×#41	C₂²	semidirect
145. C₄×C₁₃×#41	C₂²	semidirect
146. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
147. C₂×C₄×D₄×C₁₃	C₂²	semidirect
148. C₂×C₄×D₄×C₁₃	C₂²	semidirect
149. C₂×C₁₃×#117	C₂²	semidirect
150. C₂²×C₄²×C₁₃	C₂²	semidirect
402. #62829	C₁₃	direct (N × H)
548. #3566	C₂×C₁₃	semidirect
549. #3564	C₂×C₁₃	semidirect
550. #3560	C₂×C₁₃	semidirect
551. #3557	C₂×C₁₃	semidirect
552. #3551	C₂×C₁₃	semidirect
553. #3538	C₂×C₁₃	semidirect
554. #3537	C₂×C₁₃	semidirect
555. #3536	C₂×C₁₃	semidirect
556. #3516	C₂×C₁₃	semidirect
557. #3515	C₂×C₁₃	semidirect
558. #3514	C₂×C₁₃	semidirect
559. #3513	C₂×C₁₃	semidirect
560. #3513	C₂×C₁₃	semidirect
561. #3512	C₂×C₁₃	semidirect
562. #3510	C₂×C₁₃	semidirect
563. #3493	C₂×C₁₃	semidirect
564. #3491	C₂×C₁₃	semidirect
565. #3444	C₂×C₁₃	semidirect
566. C₂×#529	C₂×C₁₃	semidirect
640. #563	C₂²×C₁₃	semidirect
641. #563	C₂²×C₁₃	semidirect
642. #563	C₂²×C₁₃	semidirect
643. #562	C₂²×C₁₃	semidirect
645. #560	C₂²×C₁₃	semidirect
646. #559	C₂²×C₁₃	semidirect
647. #559	C₂²×C₁₃	semidirect
648. #557	C₂²×C₁₃	semidirect
649. #556	C₂²×C₁₃	semidirect
650. #556	C₂²×C₁₃	semidirect
651. #556	C₂²×C₁₃	semidirect
652. #555	C₂²×C₁₃	semidirect
653. #555	C₂²×C₁₃	semidirect
654. #554	C₂²×C₁₃	semidirect
655. #554	C₂²×C₁₃	semidirect
656. #554	C₂²×C₁₃	semidirect
658. #553	C₂²×C₁₃	semidirect
659. #553	C₂²×C₁₃	semidirect
660. #553	C₂²×C₁₃	semidirect
661. #553	C₂²×C₁₃	semidirect
662. #553	C₂²×C₁₃	semidirect
663. #553	C₂²×C₁₃	semidirect
664. #552	C₂²×C₁₃	semidirect
665. #552	C₂²×C₁₃	semidirect
666. #552	C₂²×C₁₃	semidirect
667. #552	C₂²×C₁₃	semidirect
668. #552	C₂²×C₁₃	semidirect
669. #552	C₂²×C₁₃	semidirect
670. #552	C₂²×C₁₃	semidirect
671. #552	C₂²×C₁₃	semidirect
672. #551	C₂²×C₁₃	semidirect
673. #551	C₂²×C₁₃	semidirect
674. #551	C₂²×C₁₃	semidirect
675. #551	C₂²×C₁₃	semidirect
676. #551	C₂²×C₁₃	semidirect
677. #551	C₂²×C₁₃	semidirect
678. #551	C₂²×C₁₃	semidirect
679. #551	C₂²×C₁₃	semidirect
680. D₄×Q₈	C₂²×C₁₃	semidirect
681. #548	C₂²×C₁₃	semidirect
682. #548	C₂²×C₁₃	semidirect
683. #547	C₂²×C₁₃	semidirect
684. #547	C₂²×C₁₃	semidirect
685. #546	C₂²×C₁₃	semidirect
686. #546	C₂²×C₁₃	semidirect
687. #546	C₂²×C₁₃	semidirect
688. #546	C₂²×C₁₃	semidirect
689. #546	C₂²×C₁₃	semidirect
692. #544	C₂²×C₁₃	semidirect
693. #543	C₂²×C₁₃	semidirect
694. #542	C₂²×C₁₃	semidirect
695. #542	C₂²×C₁₃	semidirect
696. #542	C₂²×C₁₃	semidirect
697. #542	C₂²×C₁₃	semidirect
698. #542	C₂²×C₁₃	semidirect
699. #541	C₂²×C₁₃	semidirect
700. #541	C₂²×C₁₃	semidirect
701. #541	C₂²×C₁₃	semidirect
702. #541	C₂²×C₁₃	semidirect
704. #540	C₂²×C₁₃	semidirect
705. #540	C₂²×C₁₃	semidirect
706. #539	C₂²×C₁₃	semidirect
707. #539	C₂²×C₁₃	semidirect
708. #539	C₂²×C₁₃	semidirect
709. #539	C₂²×C₁₃	semidirect
710. #539	C₂²×C₁₃	semidirect
711. #539	C₂²×C₁₃	semidirect
713. #538	C₂²×C₁₃	semidirect
714. #538	C₂²×C₁₃	semidirect
715. #538	C₂²×C₁₃	semidirect
716. #538	C₂²×C₁₃	semidirect
717. #538	C₂²×C₁₃	semidirect
718. #537	C₂²×C₁₃	semidirect
719. #537	C₂²×C₁₃	semidirect
720. #536	C₂²×C₁₃	semidirect
723. #533	C₂²×C₁₃	semidirect
724. #533	C₂²×C₁₃	semidirect
725. #533	C₂²×C₁₃	semidirect
726. #532	C₂²×C₁₃	semidirect
727. #532	C₂²×C₁₃	semidirect
728. #532	C₂²×C₁₃	semidirect
729. #529	C₂²×C₁₃	semidirect
730. #529	C₂²×C₁₃	semidirect
731. #529	C₂²×C₁₃	semidirect
732. #529	C₂²×C₁₃	semidirect
733. #529	C₂²×C₁₃	semidirect
734. #529	C₂²×C₁₃	semidirect
735. #529	C₂²×C₁₃	semidirect
736. #529	C₂²×C₁₃	semidirect
737. #529	C₂²×C₁₃	semidirect
738. #529	C₂²×C₁₃	semidirect
739. #529	C₂²×C₁₃	semidirect
740. #529	C₂²×C₁₃	semidirect
741. #529	C₂²×C₁₃	semidirect
742. #529	C₂²×C₁₃	semidirect
743. #529	C₂²×C₁₃	semidirect
744. #529	C₂²×C₁₃	semidirect
745. C₂×#126	C₂²×C₁₃	semidirect
746. C₂×#125	C₂²×C₁₃	semidirect
747. C₂×#125	C₂²×C₁₃	semidirect
748. C₂×#124	C₂²×C₁₃	semidirect
749. C₂×#124	C₂²×C₁₃	semidirect
751. #525	C₂²×C₁₃	semidirect
752. #525	C₂²×C₁₃	semidirect
753. #525	C₂²×C₁₃	semidirect
754. C₂×#123	C₂²×C₁₃	semidirect
755. C₂×#123	C₂²×C₁₃	semidirect
756. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
758. #520	C₂²×C₁₃	semidirect
759. #520	C₂²×C₁₃	semidirect
760. #519	C₂²×C₁₃	semidirect
761. #518	C₂²×C₁₃	semidirect
762. #518	C₂²×C₁₃	semidirect
763. C₄×#41	C₂²×C₁₃	semidirect
764. C₄×#41	C₂²×C₁₃	semidirect
765. C₄×#41	C₂²×C₁₃	semidirect
766. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
767. C₂×C₄×D₄	C₂²×C₁₃	semidirect
768. C₂×C₄×D₄	C₂²×C₁₃	semidirect
769. C₂×#117	C₂²×C₁₃	semidirect
770. C₂²×C₄²	C₂²×C₁₃	semidirect
1204. C₁₃	#62829	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×#3566	2
C₁₃×#3564	2
C₁₃×#3560	2
C₁₃×#3557	2
C₁₃×#3551	2
C₁₃×#3538	2
C₁₃×#3537	2
C₁₃×#3536	2
C₁₃×#3516	2
C₁₃×#3515	2
C₁₃×#3514	2
C₁₃×#3513	2
C₁₃×#3512	2
C₁₃×#3510	2
C₁₃×#3493	2
C₁₃×#3491	2
C₁₃×#3444	2
C₂×C₁₃×#529	2
#62829	13

Subgroups — C13×#62829 #15749168

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62829 #15749168