Subgroups — C₁₃×#62748 #15749087

Order 3328.

7280 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3561	C₂	1	2	yes	maximal, complemented
3	C₁₃×#3560	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3559	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3558	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3558	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3554	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3552	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3546	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3543	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3537	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3536	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3534	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3529	C₂	1	4	yes	maximal, complemented
15	C₁₃×#3481	C₂	1	4	yes	maximal, complemented
16	C₁₃×#3480	C₂	1	2	yes	maximal, complemented
17	D₄×C₁₃×#41	C₂	1	4	yes	maximal, complemented
18	D₄×C₁₃×#41	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3460	C₂	1	4	yes	maximal, complemented
20	C₁₃×#3459	C₂	1	4	yes	maximal, complemented
21	C₁₃×#3455	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3449	C₂	1	2	yes	maximal, complemented
23	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
27	C₂²×C₁₃×#41	C₂²	1	4	yes	complemented
28	C₁₃×#563	C₂²	1	8	yes	complemented
29	C₁₃×#563	C₂²	1	4	yes	complemented
30	C₁₃×#562	C₂²	1	8	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×#562	C₂²	1	4	yes	complemented
33	C₁₃×#562	C₂²	1	4	yes	complemented
34	C₁₃×H(3,𝔽₄)	C₂²	1	4	yes	complemented
35	C₁₃×#560	C₂²	1	8	yes	complemented
36	C₁₃×#560	C₂²	1	8	yes	complemented
37	C₁₃×#560	C₂²	1	8	yes	complemented
38	C₁₃×#559	C₂²	1	2	yes	complemented
39	C₁₃×#559	C₂²	1	4	yes	complemented
40	C₁₃×#559	C₂²	1	4	yes	complemented
41	C₁₃×#557	C₂²	1	2	yes	complemented
42	C₁₃×#556	C₂²	1	2	yes	complemented
43	C₁₃×#556	C₂²	1	4	yes	complemented
44	C₁₃×#554	C₂²	1	4	yes	complemented
45	C₁₃×#554	C₂²	1	4	yes	complemented
46	C₁₃×#553	C₂²	1	8	yes	complemented
47	C₁₃×#553	C₂²	1	4	yes	complemented
48	C₁₃×#553	C₂²	1	4	yes	complemented
49	C₁₃×#553	C₂²	1	4	yes	complemented
50	C₁₃×#553	C₂²	1	8	yes	complemented
51	C₁₃×#551	C₂²	1	8	yes	complemented
52	C₁₃×#551	C₂²	1	8	yes	complemented
53	C₁₃×#550	C₂²	1	2	yes	complemented
54	C₁₃×#550	C₂²	1	2	yes	complemented
55	C₁₃×#550	C₂²	1	4	yes	complemented
56	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
57	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
58	C₁₃×#548	C₂²	1	4	yes	complemented
59	C₁₃×#548	C₂²	1	4	yes	complemented
60	C₁₃×#548	C₂²	1	4	yes	complemented
61	C₁₃×#548	C₂²	1	4	yes	complemented
62	C₁₃×#547	C₂²	1	4	yes	complemented
63	C₁₃×#547	C₂²	1	2	yes	complemented
64	C₁₃×#547	C₂²	1	4	yes	complemented
65	C₁₃×#547	C₂²	1	8	yes	complemented
66	C₁₃×#546	C₂²	1	8	yes	complemented
67	C₁₃×#546	C₂²	1	8	yes	complemented
68	C₁₃×#546	C₂²	1	8	yes	complemented
69	C₁₃×#546	C₂²	1	4	yes	complemented
70	C₁₃×#546	C₂²	1	4	yes	complemented
71	C₁₃×#546	C₂²	1	4	yes	complemented
72	C₁₃×#546	C₂²	1	4	yes	complemented
73	C₁₃×#546	C₂²	1	8	yes	complemented
74	C₁₃×#546	C₂²	1	4	yes	complemented
75	D₄²×C₁₃	C₂²	1	8	yes	complemented
76	D₄²×C₁₃	C₂²	1	4	yes	complemented
77	D₄²×C₁₃	C₂²	1	4	yes	complemented
78	D₄²×C₁₃	C₂²	1	2	yes	complemented
79	D₄²×C₁₃	C₂²	1	4	yes	complemented
80	C₁₃×#544	C₂²	1	4	yes	complemented
81	C₁₃×#543	C₂²	1	4	yes	complemented
82	C₁₃×#542	C₂²	1	4	yes	complemented
83	C₁₃×#542	C₂²	1	4	yes	complemented
84	C₁₃×#542	C₂²	1	4	yes	complemented
85	C₁₃×#542	C₂²	1	4	yes	complemented
86	C₁₃×#542	C₂²	1	8	yes	complemented
87	C₁₃×#541	C₂²	1	4	yes	complemented
88	C₁₃×#540	C₂²	1	8	yes	complemented
89	C₁₃×#540	C₂²	1	4	yes	complemented
90	C₁₃×#540	C₂²	1	4	yes	complemented
91	C₁₃×#540	C₂²	1	4	yes	complemented
92	C₁₃×#539	C₂²	1	8	yes	complemented
93	C₁₃×#539	C₂²	1	4	yes	complemented
94	C₁₃×#539	C₂²	1	4	yes	complemented
95	C₁₃×#539	C₂²	1	8	yes	complemented
96	C₁₃×#539	C₂²	1	8	yes	complemented
97	C₁₃×#538	C₂²	1	4	yes	complemented
98	C₁₃×#538	C₂²	1	8	yes	complemented
99	C₁₃×#538	C₂²	1	4	yes	complemented
100	C₁₃×#538	C₂²	1	4	yes	complemented
101	C₁₃×#538	C₂²	1	4	yes	complemented
102	C₁₃×#538	C₂²	1	8	yes	complemented
103	C₁₃×#538	C₂²	1	8	yes	complemented
104	C₁₃×#538	C₂²	1	8	yes	complemented
105	C₁₃×#537	C₂²	1	4	yes	complemented
106	C₁₃×#537	C₂²	1	4	yes	complemented
107	C₁₃×#537	C₂²	1	4	yes	complemented
108	C₁₃×#536	C₂²	1	4	yes	complemented
109	C₁₃×#536	C₂²	1	4	yes	complemented
110	C₁₃×#535	C₂²	1	4	yes	complemented
111	C₁₃×#535	C₂²	1	4	yes	complemented
112	C₁₃×#535	C₂²	1	4	yes	complemented
113	C₁₃×#535	C₂²	1	4	yes	complemented
114	C₁₃×#534	C₂²	1	8	yes	complemented
115	C₁₃×#534	C₂²	1	4	yes	complemented
116	C₁₃×#534	C₂²	1	4	yes	complemented
117	C₁₃×#534	C₂²	1	4	yes	complemented
118	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#532	C₂²	1	2	yes	complemented
122	C₁₃×#532	C₂²	1	8	yes	complemented
123	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#532	C₂²	1	2	yes	complemented
125	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#532	C₂²	1	2	yes	complemented
127	C₁₃×#532	C₂²	1	2	yes	complemented
128	C₁₃×#532	C₂²	1	2	yes	complemented
129	C₁₃×#532	C₂²	1	2	yes	complemented
130	C₁₃×#532	C₂²	1	2	yes	complemented
131	C₁₃×#532	C₂²	1	2	yes	complemented
132	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#532	C₂²	1	4	yes	complemented
134	C₁₃×#532	C₂²	1	4	yes	complemented
135	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#529	C₂²	1	2	yes	complemented
138	C₁₃×#529	C₂²	1	2	yes	complemented
139	C₁₃×#529	C₂²	1	8	yes	complemented
140	C₁₃×#529	C₂²	1	8	yes	complemented
141	C₁₃×#529	C₂²	1	2	yes	complemented
142	C₁₃×#529	C₂²	1	2	yes	complemented
143	C₁₃×#529	C₂²	1	2	yes	complemented
144	C₁₃×#529	C₂²	1	2	yes	complemented
145	C₁₃×#529	C₂²	1	2	yes	complemented
146	C₁₃×#529	C₂²	1	2	yes	complemented
147	C₁₃×#529	C₂²	1	2	yes	complemented
148	C₁₃×#529	C₂²	1	2	yes	complemented
149	C₁₃×#529	C₂²	1	2	yes	complemented
150	C₁₃×#529	C₂²	1	2	yes	complemented
151	C₁₃×#529	C₂²	1	2	yes	complemented
152	C₁₃×#529	C₂²	1	2	yes	complemented
153	C₁₃×#529	C₂²	1	8	yes	complemented
154	C₁₃×#529	C₂²	1	4	yes	complemented
155	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
156	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
158	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
159	C₁₃×#525	C₂²	1	8	yes	complemented
160	C₁₃×#525	C₂²	1	8	yes	complemented
161	C₁₃×#525	C₂²	1	8	yes	complemented
162	C₁₃×#525	C₂²	1	2	yes	complemented
163	C₁₃×#525	C₂²	1	2	yes	complemented
164	C₁₃×#525	C₂²	1	2	yes	complemented
165	C₁₃×#525	C₂²	1	8	yes	complemented
166	C₁₃×#525	C₂²	1	4	yes	complemented
167	C₁₃×#525	C₂²	1	8	yes	complemented
168	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
169	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
171	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
172	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
173	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
174	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
175	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
176	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
177	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
178	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
180	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
181	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
182	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
183	C₂×C₄×D₄×C₁₃	C₂²	1	8	yes	complemented
184	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
185	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
186	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₁₃×#41	—	4	8	no	—
188	C₂×C₁₃×#41	—	4	16	no	—
189	C₂×C₁₃×#41	C₂³	1	2	yes	—
190	C₂×C₁₃×#41	C₂³	1	4	yes	—
191	C₂×C₁₃×#41	C₂³	1	2	yes	—
192	C₂×C₁₃×#41	C₂³	1	2	yes	—
193	C₂×C₁₃×#41	C₂³	1	4	yes	—
194	C₂×C₁₃×#41	C₂³	1	8	yes	—
195	C₂×C₁₃×#41	C₂³	1	4	yes	—
196	C₂×C₁₃×#41	C₂³	1	4	yes	—
197	C₂×C₁₃×#41	C₂³	1	4	yes	—
198	C₂×C₁₃×#41	C₂³	1	4	yes	—
199	C₂×C₁₃×#41	C₂³	1	4	yes	—
200	C₂×C₁₃×#41	C₂³	1	8	yes	—
201	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
202	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
203	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
204	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
207	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
208	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
209	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
210	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
211	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
212	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
213	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
214	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
216	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
219	C₂³×C₄×C₁₃	C₂³	1	8	yes	—
220	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
222	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
228	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
229	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
230	C₁₃×#127	C₂³	1	2	yes	—
231	C₁₃×#127	C₂³	1	2	yes	—
232	C₁₃×#127	C₂³	1	2	yes	—
233	C₁₃×#127	C₂³	1	2	yes	—
234	C₁₃×#127	C₂³	1	1	yes	characteristic
235	C₁₃×#127	C₂³	1	4	yes	—
236	C₁₃×#127	C₂³	1	4	yes	—
237	C₁₃×#127	C₂³	1	8	yes	—
238	C₁₃×#126	C₂³	1	4	yes	—
239	C₁₃×#126	C₂³	1	4	yes	—
240	C₁₃×#126	C₂³	1	4	yes	—
241	C₁₃×#126	C₂³	1	4	yes	—
242	C₁₃×#126	C₂³	1	4	yes	—
243	C₁₃×#126	C₂³	1	4	yes	—
244	C₁₃×#126	C₂³	1	8	yes	—
245	C₁₃×#126	C₂³	1	8	yes	—
246	C₁₃×#126	C₂³	1	8	yes	—
247	C₁₃×#126	C₂³	1	8	yes	—
248	C₁₃×#126	C₂³	1	8	yes	—
249	C₁₃×#126	C₂³	1	8	yes	—
250	C₁₃×#126	C₂³	1	8	yes	—
251	C₁₃×#125	C₂³	1	2	yes	—
252	C₁₃×#125	C₂³	1	2	yes	—
253	C₁₃×#125	C₂³	1	2	yes	—
254	C₁₃×#125	C₂³	1	2	yes	—
255	C₁₃×#125	C₂³	1	2	yes	—
256	C₁₃×#125	C₂³	1	2	yes	—
257	C₁₃×#125	C₂³	1	2	yes	—
258	C₁₃×#125	C₂³	1	8	yes	—
259	C₁₃×#125	C₂³	1	8	yes	—
260	C₁₃×#125	C₂³	1	8	yes	—
261	C₁₃×#125	C₂³	1	4	yes	—
262	C₁₃×#124	C₂³	1	2	yes	—
263	C₁₃×#124	C₂³	1	2	yes	—
264	C₁₃×#124	C₂³	1	2	yes	—
265	C₁₃×#124	C₂³	1	2	yes	—
266	C₁₃×#124	C₂³	1	4	yes	—
267	C₁₃×#124	C₂³	1	4	yes	—
268	C₁₃×#124	C₂³	1	4	yes	—
269	C₁₃×#124	C₂³	1	4	yes	—
270	C₁₃×#124	C₂³	1	2	yes	—
271	C₁₃×#124	C₂³	1	2	yes	—
272	C₁₃×#124	C₂³	1	2	yes	—
273	C₁₃×#124	C₂³	1	8	yes	—
274	C₁₃×#124	C₂³	1	4	yes	—
275	C₁₃×#124	C₂³	1	8	yes	—
276	C₁₃×#124	C₂³	1	8	yes	—
277	C₁₃×#124	C₂³	1	4	yes	—
278	C₁₃×#124	C₂³	1	4	yes	—
279	C₁₃×#124	C₂³	1	8	yes	—
280	C₁₃×#124	C₂³	1	8	yes	—
281	C₁₃×#124	C₂³	1	8	yes	—
282	C₁₃×#123	C₂³	1	4	yes	—
283	C₁₃×#123	C₂³	1	4	yes	—
284	C₁₃×#123	C₂³	1	4	yes	—
285	C₁₃×#123	C₂³	1	4	yes	—
286	C₁₃×#123	C₂³	1	4	yes	—
287	C₁₃×#123	C₂³	1	4	yes	—
288	C₁₃×#123	C₂³	1	4	yes	—
289	C₁₃×#123	C₂³	1	8	yes	—
290	C₁₃×#123	C₂³	1	8	yes	—
291	C₁₃×#123	C₂³	1	8	yes	—
292	C₁₃×#123	C₂³	1	8	yes	—
293	C₁₃×#123	C₂³	1	8	yes	—
294	C₁₃×#123	C₂³	1	8	yes	—
295	C₁₃×#123	C₂³	1	8	yes	—
296	C₁₃×#123	C₂³	1	8	yes	—
297	C₁₃×#123	C₂³	1	8	yes	—
298	C₁₃×#123	C₂³	1	8	yes	—
299	C₁₃×#123	C₂³	1	8	yes	—
300	C₁₃×#123	C₂³	1	8	yes	—
301	C₁₃×#123	C₂³	1	8	yes	—
302	C₁₃×#123	C₂³	1	8	yes	—
303	C₁₃×#123	C₂³	1	8	yes	—
304	C₁₃×#123	C₂³	1	8	yes	—
305	C₁₃×#123	C₂³	1	8	yes	—
306	C₁₃×#123	C₂³	1	8	yes	—
307	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
308	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
309	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
311	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
312	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
313	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
314	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
316	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
317	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
318	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
319	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
322	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
324	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
331	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₁₃×#121	C₂³	1	2	yes	—
334	C₁₃×#121	C₂³	1	2	yes	—
335	C₁₃×#121	C₂³	1	2	yes	—
336	C₁₃×#121	C₂³	1	2	yes	—
337	C₁₃×#121	C₂³	1	4	yes	—
338	C₁₃×#121	C₂³	1	4	yes	—
339	C₁₃×#121	C₂³	1	4	yes	—
340	C₁₃×#121	C₂³	1	4	yes	—
341	C₁₃×#121	C₂³	1	4	yes	—
342	C₁₃×#121	C₂³	1	4	yes	—
343	C₁₃×#121	C₂³	1	4	yes	—
344	C₁₃×#121	C₂³	1	4	yes	—
345	C₁₃×#121	C₂³	1	2	yes	—
346	C₁₃×#121	C₂³	1	2	yes	—
347	C₁₃×#121	C₂³	1	2	yes	—
348	C₁₃×#121	C₂³	1	2	yes	—
349	C₁₃×#121	C₂³	1	2	yes	—
350	C₁₃×#121	C₂³	1	2	yes	—
351	C₁₃×#121	C₂³	1	8	yes	—
352	C₁₃×#121	C₂³	1	8	yes	—
353	C₁₃×#121	C₂³	1	8	yes	—
354	C₁₃×#121	C₂³	1	8	yes	—
355	C₁₃×#121	C₂³	1	8	yes	—
356	C₁₃×#121	C₂³	1	8	yes	—
357	C₁₃×#121	C₂³	1	8	yes	—
358	C₁₃×#121	C₂³	1	8	yes	—
359	C₁₃×#121	C₂³	1	8	yes	—
360	C₁₃×#121	C₂³	1	8	yes	—
361	C₁₃×#121	C₂³	1	4	yes	—
362	C₁₃×#121	C₂³	1	4	yes	—
363	C₁₃×#121	C₂³	1	8	yes	—
364	C₁₃×#121	C₂³	1	8	yes	—
365	C₁₃×#121	C₂³	1	4	yes	—
366	C₁₃×#121	C₂³	1	8	yes	—
367	C₁₃×#121	C₂³	1	8	yes	—
368	C₁₃×#121	C₂³	1	8	yes	—
369	C₁₃×#121	C₂³	1	4	yes	—
370	C₁₃×#121	C₂³	1	8	yes	—
371	C₁₃×#121	C₂³	1	4	yes	—
372	C₁₃×#121	C₂³	1	8	yes	—
373	C₁₃×#121	C₂³	1	8	yes	—
374	C₁₃×#121	C₂³	1	8	yes	—
375	C₁₃×#121	C₂³	1	8	yes	—
376	C₁₃×#120	C₂³	1	4	yes	—
377	C₁₃×#120	C₂³	1	8	yes	—
378	C₁₃×#120	C₂³	1	8	yes	—
379	C₁₃×#120	C₂³	1	8	yes	—
380	C₁₃×#120	C₂³	1	8	yes	—
381	C₁₃×#120	C₂³	1	8	yes	—
382	C₁₃×#120	C₂³	1	8	yes	—
383	C₁₃×#120	C₂³	1	8	yes	—
384	C₁₃×#120	C₂³	1	8	yes	—
385	C₁₃×#120	C₂³	1	8	yes	—
386	C₁₃×#120	C₂³	1	8	yes	—
387	C₁₃×#120	C₂³	1	8	yes	—
388	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
389	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
390	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
391	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
392	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
393	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
394	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
395	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
396	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
397	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
398	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
399	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
400	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
401	C₄×D₄×C₁₃	C₂³	1	4	yes	—
402	C₄×D₄×C₁₃	C₂³	1	2	yes	—
403	C₄×D₄×C₁₃	C₂³	1	4	yes	—
404	C₄×D₄×C₁₃	C₂³	1	4	yes	—
405	C₄×D₄×C₁₃	C₂³	1	2	yes	—
406	C₄×D₄×C₁₃	C₂³	1	8	yes	—
407	C₄×D₄×C₁₃	C₂³	1	8	yes	—
408	C₄×D₄×C₁₃	C₂³	1	4	yes	—
409	C₄×D₄×C₁₃	C₂³	1	4	yes	—
410	C₄×D₄×C₁₃	C₂³	1	4	yes	—
411	C₄×D₄×C₁₃	C₂³	1	4	yes	—
412	C₄×D₄×C₁₃	C₂³	1	8	yes	—
413	C₄×D₄×C₁₃	C₂³	1	4	yes	—
414	C₄×D₄×C₁₃	C₂³	1	2	yes	—
415	C₄×D₄×C₁₃	C₂³	1	2	yes	—
416	C₄×D₄×C₁₃	C₂³	1	4	yes	—
417	C₄×D₄×C₁₃	C₂³	1	4	yes	—
418	C₄×D₄×C₁₃	C₂³	1	4	yes	—
419	C₄×D₄×C₁₃	C₂³	1	4	yes	—
420	C₄×D₄×C₁₃	C₂³	1	4	yes	—
421	C₄×D₄×C₁₃	C₂³	1	8	yes	—
422	C₄×D₄×C₁₃	C₂³	1	8	yes	—
423	C₄×D₄×C₁₃	C₂³	1	8	yes	—
424	C₄×D₄×C₁₃	C₂³	1	8	yes	—
425	C₄×D₄×C₁₃	C₂³	1	4	yes	—
426	C₄×D₄×C₁₃	C₂³	1	4	yes	—
427	C₄×D₄×C₁₃	C₂³	1	8	yes	—
428	C₄×D₄×C₁₃	C₂³	1	2	yes	—
429	C₄×D₄×C₁₃	C₂³	1	2	yes	—
430	C₄×D₄×C₁₃	C₂³	1	8	yes	—
431	C₄×D₄×C₁₃	C₂³	1	4	yes	—
432	C₄×D₄×C₁₃	C₂³	1	4	yes	—
433	C₄×D₄×C₁₃	C₂³	1	4	yes	—
434	C₄×D₄×C₁₃	C₂³	1	4	yes	—
435	C₄×D₄×C₁₃	C₂³	1	4	yes	—
436	C₄×D₄×C₁₃	C₂³	1	2	yes	—
437	C₄×D₄×C₁₃	C₂³	1	2	yes	—
438	C₄×D₄×C₁₃	C₂³	1	2	yes	—
439	C₄×D₄×C₁₃	C₂³	1	2	yes	—
440	C₄×D₄×C₁₃	C₂³	1	8	yes	—
441	C₄×D₄×C₁₃	C₂³	1	8	yes	—
442	C₄×D₄×C₁₃	C₂³	1	8	yes	—
443	C₄×D₄×C₁₃	C₂³	1	4	yes	—
444	C₄×D₄×C₁₃	C₂³	1	4	yes	—
445	C₄×D₄×C₁₃	C₂³	1	4	yes	—
446	C₁₃×#117	C₂³	1	4	yes	—
447	C₁₃×#117	C₂³	1	4	yes	—
448	C₁₃×#117	C₂³	1	4	yes	—
449	C₁₃×#117	C₂³	1	4	yes	—
450	C₁₃×#117	C₂³	1	2	yes	—
451	C₁₃×#117	C₂³	1	4	yes	—
452	C₁₃×#117	C₂³	1	8	yes	—
453	C₁₃×#117	C₂³	1	2	yes	—
454	C₁₃×#117	C₂³	1	2	yes	—
455	C₁₃×#117	C₂³	1	4	yes	—
456	C₁₃×#117	C₂³	1	4	yes	—
457	C₁₃×#117	C₂³	1	4	yes	—
458	C₁₃×#117	C₂³	1	8	yes	—
459	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
460	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
461	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
462	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
463	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
465	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
466	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
467	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
468	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
469	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
470	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
471	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
472	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
473	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
474	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
475	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
476	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
477	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
478	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
479	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
480	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
481	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
482	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
483	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
484	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
485	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
486	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
487	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
488	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
489	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
490	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
491	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
492	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
493	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
494	#62748	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
495	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
496	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
497	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
498	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
499	C₁₃×#41	—	2	16	no	—
500	C₁₃×#41	—	2	8	no	—
501	C₁₃×#41	—	4	16	no	—
502	C₁₃×#41	—	4	8	no	—
503	C₁₃×#41	—	4	4	no	—
504	C₁₃×#41	—	4	8	no	—
505	C₁₃×#41	—	4	16	no	—
506	C₁₃×#41	—	4	4	no	—
507	C₁₃×#41	—	4	8	no	—
508	C₁₃×#41	—	4	8	no	—
509	C₁₃×#41	—	4	8	no	—
510	C₁₃×#41	—	4	8	no	—
511	C₂×Q₈×C₁₃	—	4	2	no	—
512	C₂×Q₈×C₁₃	—	4	4	no	—
513	C₂×Q₈×C₁₃	—	4	8	no	—
514	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
515	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
516	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
517	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
518	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
519	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
520	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
521	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
522	C₂×D₄×C₁₃	—	4	4	no	—
523	C₂×D₄×C₁₃	—	4	2	no	—
524	C₂×D₄×C₁₃	—	4	8	no	—
525	C₂×D₄×C₁₃	—	4	4	no	—
526	C₂×D₄×C₁₃	—	4	8	no	—
527	C₂×D₄×C₁₃	—	4	4	no	—
528	C₂×D₄×C₁₃	—	4	4	no	—
529	C₂×D₄×C₁₃	—	4	16	no	—
530	C₂×D₄×C₁₃	—	4	8	no	—
531	C₂×D₄×C₁₃	—	4	16	no	—
532	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
533	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
534	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
535	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
536	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
537	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
538	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
539	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
540	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
541	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
542	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
543	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
544	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
545	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
546	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
547	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
548	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
549	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
550	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
551	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
552	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
553	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
554	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
555	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
556	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
557	C₂²×C₄×C₁₃	—	2	4	no	—
558	C₂²×C₄×C₁₃	—	2	8	no	—
559	C₂²×C₄×C₁₃	—	4	2	no	—
560	C₂²×C₄×C₁₃	—	4	8	no	—
561	C₂²×C₄×C₁₃	—	4	16	no	—
562	C₂²×C₄×C₁₃	—	4	2	no	—
563	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
564	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
566	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
573	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
574	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
577	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
578	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
579	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
587	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
588	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
589	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
590	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
591	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
592	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
593	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
594	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
595	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
596	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
599	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
600	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
602	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
605	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
607	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
608	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
609	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
610	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
611	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
612	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
613	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
614	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
615	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
616	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
617	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
618	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
619	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
620	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
621	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
622	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
623	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
626	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
627	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
628	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
629	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
630	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
631	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
632	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
633	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
634	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
637	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
638	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
639	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
640	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
642	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
643	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
644	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
645	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
646	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
647	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
648	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
649	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
650	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
651	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
652	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
653	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
654	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
655	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
656	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
657	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
658	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
659	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
661	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
662	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
663	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
664	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
665	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
666	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
667	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
668	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
669	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
670	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
671	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
672	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
673	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
674	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
675	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
676	C₄²×C₁₃	C₂⁴	1	4	yes	—
677	C₄²×C₁₃	C₂⁴	1	4	yes	—
678	C₄²×C₁₃	C₂⁴	1	4	yes	—
679	C₄²×C₁₃	C₂⁴	1	8	yes	—
680	C₄²×C₁₃	C₂⁴	1	8	yes	—
681	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
682	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
683	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
684	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
685	C₄²×C₁₃	C₂⁴	1	4	yes	—
686	C₄²×C₁₃	C₂⁴	1	4	yes	—
687	#3562	C₂×C₁₃	1	4	yes	complemented
688	#3561	C₂×C₁₃	1	2	yes	complemented
689	#3560	C₂×C₁₃	1	4	yes	complemented
690	#3559	C₂×C₁₃	1	2	yes	complemented
691	#3558	C₂×C₁₃	1	2	yes	complemented
692	#3558	C₂×C₁₃	1	2	yes	complemented
693	#3554	C₂×C₁₃	1	2	yes	complemented
694	#3552	C₂×C₁₃	1	2	yes	complemented
695	#3546	C₂×C₁₃	1	2	yes	complemented
696	#3543	C₂×C₁₃	1	2	yes	complemented
697	#3537	C₂×C₁₃	1	2	yes	complemented
698	#3536	C₂×C₁₃	1	2	yes	complemented
699	#3534	C₂×C₁₃	1	4	yes	complemented
700	#3529	C₂×C₁₃	1	4	yes	complemented
701	#3481	C₂×C₁₃	1	4	yes	complemented
702	#3480	C₂×C₁₃	1	2	yes	complemented
703	D₄×#41	C₂×C₁₃	1	4	yes	complemented
704	D₄×#41	C₂×C₁₃	1	2	yes	complemented
705	#3460	C₂×C₁₃	1	4	yes	complemented
706	#3459	C₂×C₁₃	1	4	yes	complemented
707	#3455	C₂×C₁₃	1	2	yes	complemented
708	#3449	C₂×C₁₃	1	2	yes	complemented
709	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
710	C₂×#532	C₂×C₁₃	1	1	yes	characteristic, complemented
711	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
712	C₂³×C₁₃	—	2	2	no	—
713	C₂³×C₁₃	—	2	2	no	—
714	C₂³×C₁₃	—	2	4	no	—
715	C₂³×C₁₃	—	2	8	no	—
716	C₂³×C₁₃	—	4	1	no	—
717	C₂³×C₁₃	—	4	4	no	—
718	C₂³×C₁₃	—	4	8	no	—
719	C₂³×C₁₃	—	4	2	no	—
720	C₂³×C₁₃	—	4	4	no	—
721	C₂³×C₁₃	—	4	2	no	—
722	C₂³×C₁₃	—	4	8	no	—
723	C₂³×C₁₃	—	4	8	no	—
724	C₂³×C₁₃	C₂⁵	1	4	yes	—
725	C₂³×C₁₃	C₂⁵	1	4	yes	—
726	C₂³×C₁₃	C₂⁵	1	8	yes	—
727	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
728	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
729	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
730	Q₈×C₁₃	—	2	8	no	—
731	Q₈×C₁₃	—	2	4	no	—
732	Q₈×C₁₃	—	2	4	no	—
733	Q₈×C₁₃	—	4	2	no	—
734	Q₈×C₁₃	—	4	8	no	—
735	Q₈×C₁₃	—	4	4	no	—
736	Q₈×C₁₃	—	4	2	no	—
737	Q₈×C₁₃	—	4	2	no	—
738	D₄×C₁₃	—	2	16	no	—
739	D₄×C₁₃	—	2	8	no	—
740	D₄×C₁₃	—	2	8	no	—
741	D₄×C₁₃	—	2	8	no	—
742	D₄×C₁₃	—	2	8	no	—
743	D₄×C₁₃	—	2	4	no	—
744	D₄×C₁₃	—	2	4	no	—
745	D₄×C₁₃	—	2	8	no	—
746	D₄×C₁₃	—	4	4	no	—
747	D₄×C₁₃	—	4	4	no	—
748	D₄×C₁₃	—	4	4	no	—
749	D₄×C₁₃	—	4	8	no	—
750	D₄×C₁₃	—	4	2	no	—
751	D₄×C₁₃	—	4	4	no	—
752	D₄×C₁₃	—	4	8	no	—
753	D₄×C₁₃	—	4	8	no	—
754	D₄×C₁₃	—	4	8	no	—
755	D₄×C₁₃	—	4	4	no	—
756	D₄×C₁₃	—	4	8	no	—
757	D₄×C₁₃	—	4	8	no	—
758	D₄×C₁₃	—	4	8	no	—
759	D₄×C₁₃	—	4	4	no	—
760	D₄×C₁₃	—	4	2	no	—
761	D₄×C₁₃	—	4	2	no	—
762	D₄×C₁₃	—	4	8	no	—
763	C₂×C₄×C₁₃	—	2	2	no	—
764	C₂×C₄×C₁₃	—	2	4	no	—
765	C₂×C₄×C₁₃	—	2	2	no	—
766	C₂×C₄×C₁₃	—	2	2	no	—
767	C₂×C₄×C₁₃	—	2	2	no	—
768	C₂×C₄×C₁₃	—	2	8	no	—
769	C₂×C₄×C₁₃	—	2	2	no	—
770	C₂×C₄×C₁₃	—	2	8	no	—
771	C₂×C₄×C₁₃	—	2	2	no	—
772	C₂×C₄×C₁₃	—	2	2	no	—
773	C₂×C₄×C₁₃	—	2	16	no	—
774	C₂×C₄×C₁₃	—	2	8	no	—
775	C₂×C₄×C₁₃	—	2	2	no	—
776	C₂×C₄×C₁₃	—	2	2	no	—
777	C₂×C₄×C₁₃	—	2	2	no	—
778	C₂×C₄×C₁₃	—	2	8	no	—
779	C₂×C₄×C₁₃	—	4	1	no	—
780	C₂×C₄×C₁₃	—	4	1	no	—
781	C₂×C₄×C₁₃	—	4	1	no	—
782	C₂×C₄×C₁₃	—	4	1	no	—
783	C₂×C₄×C₁₃	—	4	1	no	—
784	C₂×C₄×C₁₃	—	4	1	no	—
785	C₂×C₄×C₁₃	—	4	1	no	—
786	C₂×C₄×C₁₃	—	4	4	no	—
787	C₂×C₄×C₁₃	—	4	8	no	—
788	C₂×C₄×C₁₃	—	4	8	no	—
789	C₂×C₄×C₁₃	—	4	8	no	—
790	C₂×C₄×C₁₃	—	4	8	no	—
791	C₂×C₄×C₁₃	—	4	2	no	—
792	C₂×C₄×C₁₃	—	4	8	no	—
793	C₂×C₄×C₁₃	—	4	2	no	—
794	C₂×C₄×C₁₃	—	4	4	no	—
795	C₂×C₄×C₁₃	—	4	8	no	—
796	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
797	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
798	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
800	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
801	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
802	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
803	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
804	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
805	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
806	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
808	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
811	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
812	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
813	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
816	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
817	C₂²×#41	C₂²×C₁₃	1	4	yes	complemented
818	#563	C₂²×C₁₃	1	8	yes	complemented
819	#563	C₂²×C₁₃	1	4	yes	complemented
820	#562	C₂²×C₁₃	1	8	yes	complemented
821	#562	C₂²×C₁₃	1	8	yes	complemented
822	#562	C₂²×C₁₃	1	4	yes	complemented
823	#562	C₂²×C₁₃	1	4	yes	complemented
824	H(3,𝔽₄)	C₂²×C₁₃	1	4	yes	complemented
825	#560	C₂²×C₁₃	1	8	yes	complemented
826	#560	C₂²×C₁₃	1	8	yes	complemented
827	#560	C₂²×C₁₃	1	8	yes	complemented
828	#559	C₂²×C₁₃	1	2	yes	complemented
829	#559	C₂²×C₁₃	1	4	yes	complemented
830	#559	C₂²×C₁₃	1	4	yes	complemented
831	#557	C₂²×C₁₃	1	2	yes	complemented
832	#556	C₂²×C₁₃	1	2	yes	complemented
833	#556	C₂²×C₁₃	1	4	yes	complemented
834	#554	C₂²×C₁₃	1	4	yes	complemented
835	#554	C₂²×C₁₃	1	4	yes	complemented
836	#553	C₂²×C₁₃	1	8	yes	complemented
837	#553	C₂²×C₁₃	1	4	yes	complemented
838	#553	C₂²×C₁₃	1	4	yes	complemented
839	#553	C₂²×C₁₃	1	4	yes	complemented
840	#553	C₂²×C₁₃	1	8	yes	complemented
841	#551	C₂²×C₁₃	1	8	yes	complemented
842	#551	C₂²×C₁₃	1	8	yes	complemented
843	#550	C₂²×C₁₃	1	2	yes	complemented
844	#550	C₂²×C₁₃	1	4	yes	complemented
845	#550	C₂²×C₁₃	1	2	yes	complemented
846	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
847	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
848	#548	C₂²×C₁₃	1	4	yes	complemented
849	#548	C₂²×C₁₃	1	4	yes	complemented
850	#548	C₂²×C₁₃	1	4	yes	complemented
851	#548	C₂²×C₁₃	1	4	yes	complemented
852	#547	C₂²×C₁₃	1	4	yes	complemented
853	#547	C₂²×C₁₃	1	2	yes	complemented
854	#547	C₂²×C₁₃	1	4	yes	complemented
855	#547	C₂²×C₁₃	1	8	yes	complemented
856	#546	C₂²×C₁₃	1	8	yes	complemented
857	#546	C₂²×C₁₃	1	8	yes	complemented
858	#546	C₂²×C₁₃	1	4	yes	complemented
859	#546	C₂²×C₁₃	1	4	yes	complemented
860	#546	C₂²×C₁₃	1	8	yes	complemented
861	#546	C₂²×C₁₃	1	4	yes	complemented
862	#546	C₂²×C₁₃	1	8	yes	complemented
863	#546	C₂²×C₁₃	1	4	yes	complemented
864	#546	C₂²×C₁₃	1	4	yes	complemented
865	D₄²	C₂²×C₁₃	1	8	yes	complemented
866	D₄²	C₂²×C₁₃	1	4	yes	complemented
867	D₄²	C₂²×C₁₃	1	2	yes	complemented
868	D₄²	C₂²×C₁₃	1	4	yes	complemented
869	D₄²	C₂²×C₁₃	1	4	yes	complemented
870	#544	C₂²×C₁₃	1	4	yes	complemented
871	#543	C₂²×C₁₃	1	4	yes	complemented
872	#542	C₂²×C₁₃	1	4	yes	complemented
873	#542	C₂²×C₁₃	1	4	yes	complemented
874	#542	C₂²×C₁₃	1	4	yes	complemented
875	#542	C₂²×C₁₃	1	4	yes	complemented
876	#542	C₂²×C₁₃	1	8	yes	complemented
877	#541	C₂²×C₁₃	1	4	yes	complemented
878	#540	C₂²×C₁₃	1	4	yes	complemented
879	#540	C₂²×C₁₃	1	8	yes	complemented
880	#540	C₂²×C₁₃	1	4	yes	complemented
881	#540	C₂²×C₁₃	1	4	yes	complemented
882	#539	C₂²×C₁₃	1	4	yes	complemented
883	#539	C₂²×C₁₃	1	4	yes	complemented
884	#539	C₂²×C₁₃	1	8	yes	complemented
885	#539	C₂²×C₁₃	1	8	yes	complemented
886	#539	C₂²×C₁₃	1	8	yes	complemented
887	#538	C₂²×C₁₃	1	4	yes	complemented
888	#538	C₂²×C₁₃	1	4	yes	complemented
889	#538	C₂²×C₁₃	1	4	yes	complemented
890	#538	C₂²×C₁₃	1	4	yes	complemented
891	#538	C₂²×C₁₃	1	8	yes	complemented
892	#538	C₂²×C₁₃	1	8	yes	complemented
893	#538	C₂²×C₁₃	1	8	yes	complemented
894	#538	C₂²×C₁₃	1	8	yes	complemented
895	#537	C₂²×C₁₃	1	4	yes	complemented
896	#537	C₂²×C₁₃	1	4	yes	complemented
897	#537	C₂²×C₁₃	1	4	yes	complemented
898	#536	C₂²×C₁₃	1	4	yes	complemented
899	#536	C₂²×C₁₃	1	4	yes	complemented
900	#535	C₂²×C₁₃	1	4	yes	complemented
901	#535	C₂²×C₁₃	1	4	yes	complemented
902	#535	C₂²×C₁₃	1	4	yes	complemented
903	#535	C₂²×C₁₃	1	4	yes	complemented
904	#534	C₂²×C₁₃	1	4	yes	complemented
905	#534	C₂²×C₁₃	1	4	yes	complemented
906	#534	C₂²×C₁₃	1	8	yes	complemented
907	#534	C₂²×C₁₃	1	4	yes	complemented
908	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#532	C₂²×C₁₃	1	2	yes	complemented
912	#532	C₂²×C₁₃	1	2	yes	complemented
913	#532	C₂²×C₁₃	1	2	yes	complemented
914	#532	C₂²×C₁₃	1	2	yes	complemented
915	#532	C₂²×C₁₃	1	2	yes	complemented
916	#532	C₂²×C₁₃	1	2	yes	complemented
917	#532	C₂²×C₁₃	1	2	yes	complemented
918	#532	C₂²×C₁₃	1	2	yes	complemented
919	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
922	#532	C₂²×C₁₃	1	4	yes	complemented
923	#532	C₂²×C₁₃	1	4	yes	complemented
924	#532	C₂²×C₁₃	1	8	yes	complemented
925	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	#529	C₂²×C₁₃	1	2	yes	complemented
928	#529	C₂²×C₁₃	1	2	yes	complemented
929	#529	C₂²×C₁₃	1	2	yes	complemented
930	#529	C₂²×C₁₃	1	2	yes	complemented
931	#529	C₂²×C₁₃	1	2	yes	complemented
932	#529	C₂²×C₁₃	1	2	yes	complemented
933	#529	C₂²×C₁₃	1	2	yes	complemented
934	#529	C₂²×C₁₃	1	2	yes	complemented
935	#529	C₂²×C₁₃	1	2	yes	complemented
936	#529	C₂²×C₁₃	1	2	yes	complemented
937	#529	C₂²×C₁₃	1	2	yes	complemented
938	#529	C₂²×C₁₃	1	2	yes	complemented
939	#529	C₂²×C₁₃	1	2	yes	complemented
940	#529	C₂²×C₁₃	1	2	yes	complemented
941	#529	C₂²×C₁₃	1	8	yes	complemented
942	#529	C₂²×C₁₃	1	8	yes	complemented
943	#529	C₂²×C₁₃	1	8	yes	complemented
944	#529	C₂²×C₁₃	1	4	yes	complemented
945	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
946	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
949	#525	C₂²×C₁₃	1	2	yes	complemented
950	#525	C₂²×C₁₃	1	2	yes	complemented
951	#525	C₂²×C₁₃	1	2	yes	complemented
952	#525	C₂²×C₁₃	1	8	yes	complemented
953	#525	C₂²×C₁₃	1	8	yes	complemented
954	#525	C₂²×C₁₃	1	4	yes	complemented
955	#525	C₂²×C₁₃	1	8	yes	complemented
956	#525	C₂²×C₁₃	1	8	yes	complemented
957	#525	C₂²×C₁₃	1	8	yes	complemented
958	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
959	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
961	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
962	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
963	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
964	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
965	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
966	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
967	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
968	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
970	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
972	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
973	C₂×C₄×D₄	C₂²×C₁₃	1	8	yes	complemented
974	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
975	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
976	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	C₂²×C₁₃	—	2	1	no	—
978	C₂²×C₁₃	—	2	1	no	—
979	C₂²×C₁₃	—	2	1	no	—
980	C₂²×C₁₃	—	2	1	no	—
981	C₂²×C₁₃	—	2	4	no	—
982	C₂²×C₁₃	—	2	1	no	—
983	C₂²×C₁₃	—	2	4	no	—
984	C₂²×C₁₃	—	2	8	no	—
985	C₂²×C₁₃	—	2	1	no	—
986	C₂²×C₁₃	—	2	4	no	—
987	C₂²×C₁₃	—	2	1	no	—
988	C₂²×C₁₃	—	2	4	no	—
989	C₂²×C₁₃	—	2	8	no	—
990	C₂²×C₁₃	—	2	8	no	—
991	C₂²×C₁₃	—	2	4	no	—
992	C₂²×C₁₃	—	2	4	no	—
993	C₂²×C₁₃	—	4	4	no	—
994	C₂²×C₁₃	—	8	8	no	—
995	C₂²×C₁₃	—	8	4	no	—
996	C₂²×C₁₃	—	8	16	no	—
997	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
998	C₂²×C₁₃	#585	1	2	yes	—
999	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1000	C₄×C₁₃	—	2	1	no	—
1001	C₄×C₁₃	—	2	4	no	—
1002	C₄×C₁₃	—	2	1	no	—
1003	C₄×C₁₃	—	2	8	no	—
1004	C₄×C₁₃	—	2	4	no	—
1005	C₄×C₁₃	—	2	1	no	—
1006	C₄×C₁₃	—	2	1	no	—
1007	C₄×C₁₃	—	2	1	no	—
1008	C₄×C₁₃	—	2	1	no	—
1009	C₄×C₁₃	—	2	4	no	—
1010	C₄×C₁₃	—	2	1	no	—
1011	C₄×C₁₃	—	2	1	no	—
1012	C₄×C₁₃	—	2	1	no	—
1013	C₄×C₁₃	—	2	4	no	—
1014	C₄×C₁₃	—	2	4	no	—
1015	C₄×C₁₃	—	2	4	no	—
1016	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1017	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1018	C₄×C₁₃	#585	1	2	yes	—
1019	C₂×#41	—	4	8	no	—
1020	C₂×#41	—	4	16	no	—
1021	C₂×#41	C₂³×C₁₃	1	2	yes	—
1022	C₂×#41	C₂³×C₁₃	1	4	yes	—
1023	C₂×#41	C₂³×C₁₃	1	2	yes	—
1024	C₂×#41	C₂³×C₁₃	1	2	yes	—
1025	C₂×#41	C₂³×C₁₃	1	4	yes	—
1026	C₂×#41	C₂³×C₁₃	1	8	yes	—
1027	C₂×#41	C₂³×C₁₃	1	4	yes	—
1028	C₂×#41	C₂³×C₁₃	1	4	yes	—
1029	C₂×#41	C₂³×C₁₃	1	4	yes	—
1030	C₂×#41	C₂³×C₁₃	1	4	yes	—
1031	C₂×#41	C₂³×C₁₃	1	4	yes	—
1032	C₂×#41	C₂³×C₁₃	1	8	yes	—
1033	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1035	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1036	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1037	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1039	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1040	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
1041	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1042	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1043	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1044	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
1045	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1046	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1047	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1049	C₂³×C₄	C₂³×C₁₃	1	8	yes	—
1050	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1052	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1053	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1054	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1055	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1056	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1057	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1059	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1060	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1061	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1062	#127	C₂³×C₁₃	1	2	yes	—
1063	#127	C₂³×C₁₃	1	2	yes	—
1064	#127	C₂³×C₁₃	1	2	yes	—
1065	#127	C₂³×C₁₃	1	2	yes	—
1066	#127	C₂³×C₁₃	1	1	yes	characteristic
1067	#127	C₂³×C₁₃	1	4	yes	—
1068	#127	C₂³×C₁₃	1	4	yes	—
1069	#127	C₂³×C₁₃	1	8	yes	—
1070	#126	C₂³×C₁₃	1	4	yes	—
1071	#126	C₂³×C₁₃	1	4	yes	—
1072	#126	C₂³×C₁₃	1	4	yes	—
1073	#126	C₂³×C₁₃	1	4	yes	—
1074	#126	C₂³×C₁₃	1	4	yes	—
1075	#126	C₂³×C₁₃	1	4	yes	—
1076	#126	C₂³×C₁₃	1	8	yes	—
1077	#126	C₂³×C₁₃	1	8	yes	—
1078	#126	C₂³×C₁₃	1	8	yes	—
1079	#126	C₂³×C₁₃	1	8	yes	—
1080	#126	C₂³×C₁₃	1	8	yes	—
1081	#126	C₂³×C₁₃	1	8	yes	—
1082	#126	C₂³×C₁₃	1	8	yes	—
1083	#125	C₂³×C₁₃	1	2	yes	—
1084	#125	C₂³×C₁₃	1	2	yes	—
1085	#125	C₂³×C₁₃	1	2	yes	—
1086	#125	C₂³×C₁₃	1	2	yes	—
1087	#125	C₂³×C₁₃	1	2	yes	—
1088	#125	C₂³×C₁₃	1	2	yes	—
1089	#125	C₂³×C₁₃	1	2	yes	—
1090	#125	C₂³×C₁₃	1	8	yes	—
1091	#125	C₂³×C₁₃	1	8	yes	—
1092	#125	C₂³×C₁₃	1	8	yes	—
1093	#125	C₂³×C₁₃	1	4	yes	—
1094	#124	C₂³×C₁₃	1	2	yes	—
1095	#124	C₂³×C₁₃	1	2	yes	—
1096	#124	C₂³×C₁₃	1	2	yes	—
1097	#124	C₂³×C₁₃	1	2	yes	—
1098	#124	C₂³×C₁₃	1	4	yes	—
1099	#124	C₂³×C₁₃	1	4	yes	—
1100	#124	C₂³×C₁₃	1	4	yes	—
1101	#124	C₂³×C₁₃	1	4	yes	—
1102	#124	C₂³×C₁₃	1	2	yes	—
1103	#124	C₂³×C₁₃	1	2	yes	—
1104	#124	C₂³×C₁₃	1	2	yes	—
1105	#124	C₂³×C₁₃	1	8	yes	—
1106	#124	C₂³×C₁₃	1	4	yes	—
1107	#124	C₂³×C₁₃	1	8	yes	—
1108	#124	C₂³×C₁₃	1	8	yes	—
1109	#124	C₂³×C₁₃	1	4	yes	—
1110	#124	C₂³×C₁₃	1	4	yes	—
1111	#124	C₂³×C₁₃	1	8	yes	—
1112	#124	C₂³×C₁₃	1	8	yes	—
1113	#124	C₂³×C₁₃	1	8	yes	—
1114	#123	C₂³×C₁₃	1	4	yes	—
1115	#123	C₂³×C₁₃	1	4	yes	—
1116	#123	C₂³×C₁₃	1	4	yes	—
1117	#123	C₂³×C₁₃	1	4	yes	—
1118	#123	C₂³×C₁₃	1	4	yes	—
1119	#123	C₂³×C₁₃	1	4	yes	—
1120	#123	C₂³×C₁₃	1	4	yes	—
1121	#123	C₂³×C₁₃	1	8	yes	—
1122	#123	C₂³×C₁₃	1	8	yes	—
1123	#123	C₂³×C₁₃	1	8	yes	—
1124	#123	C₂³×C₁₃	1	8	yes	—
1125	#123	C₂³×C₁₃	1	8	yes	—
1126	#123	C₂³×C₁₃	1	8	yes	—
1127	#123	C₂³×C₁₃	1	8	yes	—
1128	#123	C₂³×C₁₃	1	8	yes	—
1129	#123	C₂³×C₁₃	1	8	yes	—
1130	#123	C₂³×C₁₃	1	8	yes	—
1131	#123	C₂³×C₁₃	1	8	yes	—
1132	#123	C₂³×C₁₃	1	8	yes	—
1133	#123	C₂³×C₁₃	1	8	yes	—
1134	#123	C₂³×C₁₃	1	8	yes	—
1135	#123	C₂³×C₁₃	1	8	yes	—
1136	#123	C₂³×C₁₃	1	8	yes	—
1137	#123	C₂³×C₁₃	1	8	yes	—
1138	#123	C₂³×C₁₃	1	8	yes	—
1139	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1140	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1141	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1142	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1143	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1144	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1145	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1146	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1147	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1148	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1149	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1150	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1151	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1152	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1153	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1154	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1155	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1156	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1157	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1158	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1159	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1160	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1161	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1162	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1163	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1164	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1165	#121	C₂³×C₁₃	1	2	yes	—
1166	#121	C₂³×C₁₃	1	2	yes	—
1167	#121	C₂³×C₁₃	1	2	yes	—
1168	#121	C₂³×C₁₃	1	2	yes	—
1169	#121	C₂³×C₁₃	1	4	yes	—
1170	#121	C₂³×C₁₃	1	4	yes	—
1171	#121	C₂³×C₁₃	1	4	yes	—
1172	#121	C₂³×C₁₃	1	4	yes	—
1173	#121	C₂³×C₁₃	1	4	yes	—
1174	#121	C₂³×C₁₃	1	4	yes	—
1175	#121	C₂³×C₁₃	1	4	yes	—
1176	#121	C₂³×C₁₃	1	4	yes	—
1177	#121	C₂³×C₁₃	1	2	yes	—
1178	#121	C₂³×C₁₃	1	2	yes	—
1179	#121	C₂³×C₁₃	1	2	yes	—
1180	#121	C₂³×C₁₃	1	2	yes	—
1181	#121	C₂³×C₁₃	1	2	yes	—
1182	#121	C₂³×C₁₃	1	2	yes	—
1183	#121	C₂³×C₁₃	1	8	yes	—
1184	#121	C₂³×C₁₃	1	8	yes	—
1185	#121	C₂³×C₁₃	1	8	yes	—
1186	#121	C₂³×C₁₃	1	8	yes	—
1187	#121	C₂³×C₁₃	1	8	yes	—
1188	#121	C₂³×C₁₃	1	8	yes	—
1189	#121	C₂³×C₁₃	1	8	yes	—
1190	#121	C₂³×C₁₃	1	8	yes	—
1191	#121	C₂³×C₁₃	1	8	yes	—
1192	#121	C₂³×C₁₃	1	8	yes	—
1193	#121	C₂³×C₁₃	1	4	yes	—
1194	#121	C₂³×C₁₃	1	4	yes	—
1195	#121	C₂³×C₁₃	1	8	yes	—
1196	#121	C₂³×C₁₃	1	8	yes	—
1197	#121	C₂³×C₁₃	1	4	yes	—
1198	#121	C₂³×C₁₃	1	8	yes	—
1199	#121	C₂³×C₁₃	1	8	yes	—
1200	#121	C₂³×C₁₃	1	8	yes	—
1201	#121	C₂³×C₁₃	1	4	yes	—
1202	#121	C₂³×C₁₃	1	8	yes	—
1203	#121	C₂³×C₁₃	1	4	yes	—
1204	#121	C₂³×C₁₃	1	8	yes	—
1205	#121	C₂³×C₁₃	1	8	yes	—
1206	#121	C₂³×C₁₃	1	8	yes	—
1207	#121	C₂³×C₁₃	1	8	yes	—
1208	#120	C₂³×C₁₃	1	4	yes	—
1209	#120	C₂³×C₁₃	1	8	yes	—
1210	#120	C₂³×C₁₃	1	8	yes	—
1211	#120	C₂³×C₁₃	1	8	yes	—
1212	#120	C₂³×C₁₃	1	8	yes	—
1213	#120	C₂³×C₁₃	1	8	yes	—
1214	#120	C₂³×C₁₃	1	8	yes	—
1215	#120	C₂³×C₁₃	1	8	yes	—
1216	#120	C₂³×C₁₃	1	8	yes	—
1217	#120	C₂³×C₁₃	1	8	yes	—
1218	#120	C₂³×C₁₃	1	8	yes	—
1219	#120	C₂³×C₁₃	1	8	yes	—
1220	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1221	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1222	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1223	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1224	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1225	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1226	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1227	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1228	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1229	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1230	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1231	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1232	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1233	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1234	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1235	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1236	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1237	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1238	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1239	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1240	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1241	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1242	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1243	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1244	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1245	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1246	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1247	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1248	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1249	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1250	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1251	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1252	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1253	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1254	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1255	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1256	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1257	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1258	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1259	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1260	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1261	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1262	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1263	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1264	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1265	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1266	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1267	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1268	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1269	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1270	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1271	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1272	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1273	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1274	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1275	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1276	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1277	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1278	#117	C₂³×C₁₃	1	4	yes	—
1279	#117	C₂³×C₁₃	1	4	yes	—
1280	#117	C₂³×C₁₃	1	4	yes	—
1281	#117	C₂³×C₁₃	1	4	yes	—
1282	#117	C₂³×C₁₃	1	2	yes	—
1283	#117	C₂³×C₁₃	1	4	yes	—
1284	#117	C₂³×C₁₃	1	8	yes	—
1285	#117	C₂³×C₁₃	1	2	yes	—
1286	#117	C₂³×C₁₃	1	2	yes	—
1287	#117	C₂³×C₁₃	1	4	yes	—
1288	#117	C₂³×C₁₃	1	4	yes	—
1289	#117	C₂³×C₁₃	1	4	yes	—
1290	#117	C₂³×C₁₃	1	8	yes	—
1291	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1292	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1293	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1294	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1295	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1296	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1297	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1298	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1299	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1300	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1301	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1302	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1303	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1304	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1305	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1306	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1307	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1308	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1309	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1310	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1311	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1312	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1313	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1314	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1315	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1316	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1317	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
1318	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1319	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1320	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1321	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1322	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1323	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1324	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1325	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1326	C₂×C₁₃	—	2	2	no	—
1327	C₂×C₁₃	—	2	2	no	—
1328	C₂×C₁₃	—	4	1	no	—
1329	C₂×C₁₃	—	4	4	no	—
1330	C₂×C₁₃	—	4	8	no	—
1331	C₂×C₁₃	—	4	4	no	—
1332	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1333	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1334	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1335	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1336	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1337	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1338	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
1339	#41	—	2	16	no	—
1340	#41	—	2	8	no	—
1341	#41	—	4	16	no	—
1342	#41	—	4	8	no	—
1343	#41	—	4	4	no	—
1344	#41	—	4	8	no	—
1345	#41	—	4	16	no	—
1346	#41	—	4	4	no	—
1347	#41	—	4	8	no	—
1348	#41	—	4	8	no	—
1349	#41	—	4	8	no	—
1350	#41	—	4	8	no	—
1351	C₂×Q₈	—	4	4	no	—
1352	C₂×Q₈	—	4	8	no	—
1353	C₂×Q₈	—	4	2	no	—
1354	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1355	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1356	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1357	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1358	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1359	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1360	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1361	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1362	C₂×D₄	—	4	4	no	—
1363	C₂×D₄	—	4	8	no	—
1364	C₂×D₄	—	4	4	no	—
1365	C₂×D₄	—	4	2	no	—
1366	C₂×D₄	—	4	8	no	—
1367	C₂×D₄	—	4	4	no	—
1368	C₂×D₄	—	4	8	no	—
1369	C₂×D₄	—	4	16	no	—
1370	C₂×D₄	—	4	4	no	—
1371	C₂×D₄	—	4	16	no	—
1372	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1373	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1374	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1375	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1376	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1377	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1378	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1379	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1380	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1381	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1382	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1383	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1384	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1385	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1386	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1387	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1388	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1389	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1390	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1391	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1392	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1393	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1394	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1395	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1396	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1397	C₂²×C₄	—	2	4	no	—
1398	C₂²×C₄	—	2	8	no	—
1399	C₂²×C₄	—	4	8	no	—
1400	C₂²×C₄	—	4	16	no	—
1401	C₂²×C₄	—	4	2	no	—
1402	C₂²×C₄	—	4	2	no	—
1403	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1407	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1408	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1409	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1410	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1411	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1412	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1413	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1414	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1415	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1416	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1417	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1418	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1419	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1420	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1421	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1422	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1423	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1424	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1425	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1426	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1427	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1428	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1429	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1430	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1431	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1432	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1433	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1434	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1435	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1436	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1438	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1439	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1440	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1441	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1442	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1443	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1444	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1445	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1446	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1447	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1448	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1449	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1450	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1451	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1452	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1453	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1454	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1455	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1456	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1457	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1458	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1459	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1460	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1461	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1462	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1463	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1464	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1465	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1466	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1467	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1468	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1469	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1470	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1471	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1472	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1473	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1474	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1475	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1476	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1477	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1478	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1479	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1480	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1481	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1482	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1483	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1484	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1485	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1486	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1487	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1488	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1489	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1490	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1491	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1492	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1493	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1494	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1495	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1496	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1497	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1498	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1499	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1500	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1501	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1502	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1503	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1504	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1505	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1506	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1507	C₄²	C₂⁴×C₁₃	1	4	yes	—
1508	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1509	C₄²	C₂⁴×C₁₃	1	4	yes	—
1510	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1511	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1512	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1513	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1514	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1515	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1516	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1517	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1518	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1519	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1520	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1521	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1522	C₄²	C₂⁴×C₁₃	1	4	yes	—
1523	C₄²	C₂⁴×C₁₃	1	4	yes	—
1524	C₄²	C₂⁴×C₁₃	1	4	yes	—
1525	C₄²	C₂⁴×C₁₃	1	8	yes	—
1526	C₄²	C₂⁴×C₁₃	1	8	yes	—
1527	C₁₃	#62748	1	1	yes	characteristic, direct product factor, Sylow
1528	C₂³	—	2	2	no	—
1529	C₂³	—	2	2	no	—
1530	C₂³	—	2	4	no	—
1531	C₂³	—	2	8	no	—
1532	C₂³	—	4	1	no	—
1533	C₂³	—	4	4	no	—
1534	C₂³	—	4	8	no	—
1535	C₂³	—	4	2	no	—
1536	C₂³	—	4	4	no	—
1537	C₂³	—	4	2	no	—
1538	C₂³	—	4	8	no	—
1539	C₂³	—	4	8	no	—
1540	C₂³	C₂⁵×C₁₃	1	4	yes	—
1541	C₂³	C₂⁵×C₁₃	1	4	yes	—
1542	C₂³	C₂⁵×C₁₃	1	8	yes	—
1543	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1544	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1545	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1546	Q₈	—	2	8	no	—
1547	Q₈	—	2	4	no	—
1548	Q₈	—	2	4	no	—
1549	Q₈	—	4	8	no	—
1550	Q₈	—	4	4	no	—
1551	Q₈	—	4	2	no	—
1552	Q₈	—	4	2	no	—
1553	Q₈	—	4	2	no	—
1554	D₄	—	2	16	no	—
1555	D₄	—	2	8	no	—
1556	D₄	—	2	8	no	—
1557	D₄	—	2	8	no	—
1558	D₄	—	2	8	no	—
1559	D₄	—	2	4	no	—
1560	D₄	—	2	4	no	—
1561	D₄	—	2	8	no	—
1562	D₄	—	4	4	no	—
1563	D₄	—	4	4	no	—
1564	D₄	—	4	4	no	—
1565	D₄	—	4	8	no	—
1566	D₄	—	4	2	no	—
1567	D₄	—	4	4	no	—
1568	D₄	—	4	8	no	—
1569	D₄	—	4	8	no	—
1570	D₄	—	4	8	no	—
1571	D₄	—	4	4	no	—
1572	D₄	—	4	8	no	—
1573	D₄	—	4	8	no	—
1574	D₄	—	4	8	no	—
1575	D₄	—	4	4	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	4	8	no	—
1579	C₂×C₄	—	2	2	no	—
1580	C₂×C₄	—	2	4	no	—
1581	C₂×C₄	—	2	2	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	8	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	8	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	2	no	—
1589	C₂×C₄	—	2	16	no	—
1590	C₂×C₄	—	2	8	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	8	no	—
1595	C₂×C₄	—	4	4	no	—
1596	C₂×C₄	—	4	8	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	8	no	—
1605	C₂×C₄	—	4	8	no	—
1606	C₂×C₄	—	4	8	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	4	8	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	4	no	—
1611	C₂×C₄	—	4	8	no	—
1612	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1613	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1614	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1615	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1616	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1617	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1618	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1619	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1620	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1621	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1622	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1623	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1624	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1625	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1626	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1627	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1628	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1629	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1630	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1631	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	4	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	4	no	—
1639	C₂²	—	2	8	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	4	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	4	no	—
1644	C₂²	—	2	8	no	—
1645	C₂²	—	2	8	no	—
1646	C₂²	—	2	4	no	—
1647	C₂²	—	2	4	no	—
1648	C₂²	—	4	4	no	—
1649	C₂²	—	8	8	no	—
1650	C₂²	—	8	4	no	—
1651	C₂²	—	8	16	no	—
1652	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1653	C₂²	C₁₃×#585	1	2	yes	—
1654	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1655	C₄	—	2	1	no	—
1656	C₄	—	2	4	no	—
1657	C₄	—	2	1	no	—
1658	C₄	—	2	8	no	—
1659	C₄	—	2	4	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	4	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	4	no	—
1669	C₄	—	2	4	no	—
1670	C₄	—	2	4	no	—
1671	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1672	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1673	C₄	C₁₃×#585	1	2	yes	—
1674	C₂	—	2	2	no	—
1675	C₂	—	2	2	no	—
1676	C₂	—	4	1	no	—
1677	C₂	—	4	4	no	—
1678	C₂	—	4	4	no	—
1679	C₂	—	4	8	no	—
1680	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1681	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1682	C₂	C₂×C₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
socle	C₂²×C₁₃	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3562	C₂	semidirect
2. C₁₃×#3561	C₂	semidirect
3. C₁₃×#3560	C₂	semidirect
4. C₁₃×#3559	C₂	semidirect
5. C₁₃×#3558	C₂	semidirect
6. C₁₃×#3558	C₂	semidirect
7. C₁₃×#3554	C₂	semidirect
8. C₁₃×#3552	C₂	semidirect
9. C₁₃×#3546	C₂	semidirect
10. C₁₃×#3543	C₂	semidirect
11. C₁₃×#3537	C₂	semidirect
12. C₁₃×#3536	C₂	semidirect
13. C₁₃×#3534	C₂	semidirect
14. C₁₃×#3529	C₂	semidirect
15. C₁₃×#3481	C₂	semidirect
16. C₁₃×#3480	C₂	semidirect
17. D₄×C₁₃×#41	C₂	semidirect
18. D₄×C₁₃×#41	C₂	semidirect
19. C₁₃×#3460	C₂	semidirect
20. C₁₃×#3459	C₂	semidirect
21. C₁₃×#3455	C₂	semidirect
22. C₁₃×#3449	C₂	semidirect
23. C₁₃×#3444	C₂	semidirect
24. C₂×C₁₃×#532	C₂	semidirect
25. C₂×C₁₃×#529	C₂	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂²×C₁₃×#41	C₂²	semidirect
28. C₁₃×#563	C₂²	semidirect
29. C₁₃×#563	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#562	C₂²	semidirect
33. C₁₃×#562	C₂²	semidirect
34. C₁₃×H(3,𝔽₄)	C₂²	semidirect
35. C₁₃×#560	C₂²	semidirect
36. C₁₃×#560	C₂²	semidirect
37. C₁₃×#560	C₂²	semidirect
38. C₁₃×#559	C₂²	semidirect
39. C₁₃×#559	C₂²	semidirect
40. C₁₃×#559	C₂²	semidirect
41. C₁₃×#557	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
43. C₁₃×#556	C₂²	semidirect
44. C₁₃×#554	C₂²	semidirect
45. C₁₃×#554	C₂²	semidirect
46. C₁₃×#553	C₂²	semidirect
47. C₁₃×#553	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
49. C₁₃×#553	C₂²	semidirect
50. C₁₃×#553	C₂²	semidirect
51. C₁₃×#551	C₂²	semidirect
52. C₁₃×#551	C₂²	semidirect
53. C₁₃×#550	C₂²	semidirect
54. C₁₃×#550	C₂²	semidirect
55. C₁₃×#550	C₂²	semidirect
56. D₄×Q₈×C₁₃	C₂²	semidirect
57. D₄×Q₈×C₁₃	C₂²	semidirect
58. C₁₃×#548	C₂²	semidirect
59. C₁₃×#548	C₂²	semidirect
60. C₁₃×#548	C₂²	semidirect
61. C₁₃×#548	C₂²	semidirect
62. C₁₃×#547	C₂²	semidirect
63. C₁₃×#547	C₂²	semidirect
64. C₁₃×#547	C₂²	semidirect
65. C₁₃×#547	C₂²	semidirect
66. C₁₃×#546	C₂²	semidirect
67. C₁₃×#546	C₂²	semidirect
68. C₁₃×#546	C₂²	semidirect
69. C₁₃×#546	C₂²	semidirect
70. C₁₃×#546	C₂²	semidirect
71. C₁₃×#546	C₂²	semidirect
72. C₁₃×#546	C₂²	semidirect
73. C₁₃×#546	C₂²	semidirect
74. C₁₃×#546	C₂²	semidirect
75. D₄²×C₁₃	C₂²	semidirect
76. D₄²×C₁₃	C₂²	semidirect
77. D₄²×C₁₃	C₂²	semidirect
78. D₄²×C₁₃	C₂²	semidirect
79. D₄²×C₁₃	C₂²	semidirect
80. C₁₃×#544	C₂²	semidirect
81. C₁₃×#543	C₂²	semidirect
82. C₁₃×#542	C₂²	semidirect
83. C₁₃×#542	C₂²	semidirect
84. C₁₃×#542	C₂²	semidirect
85. C₁₃×#542	C₂²	semidirect
86. C₁₃×#542	C₂²	semidirect
87. C₁₃×#541	C₂²	semidirect
88. C₁₃×#540	C₂²	semidirect
89. C₁₃×#540	C₂²	semidirect
90. C₁₃×#540	C₂²	semidirect
91. C₁₃×#540	C₂²	semidirect
92. C₁₃×#539	C₂²	semidirect
93. C₁₃×#539	C₂²	semidirect
94. C₁₃×#539	C₂²	semidirect
95. C₁₃×#539	C₂²	semidirect
96. C₁₃×#539	C₂²	semidirect
97. C₁₃×#538	C₂²	semidirect
98. C₁₃×#538	C₂²	semidirect
99. C₁₃×#538	C₂²	semidirect
100. C₁₃×#538	C₂²	semidirect
101. C₁₃×#538	C₂²	semidirect
102. C₁₃×#538	C₂²	semidirect
103. C₁₃×#538	C₂²	semidirect
104. C₁₃×#538	C₂²	semidirect
105. C₁₃×#537	C₂²	semidirect
106. C₁₃×#537	C₂²	semidirect
107. C₁₃×#537	C₂²	semidirect
108. C₁₃×#536	C₂²	semidirect
109. C₁₃×#536	C₂²	semidirect
110. C₁₃×#535	C₂²	semidirect
111. C₁₃×#535	C₂²	semidirect
112. C₁₃×#535	C₂²	semidirect
113. C₁₃×#535	C₂²	semidirect
114. C₁₃×#534	C₂²	semidirect
115. C₁₃×#534	C₂²	semidirect
116. C₁₃×#534	C₂²	semidirect
117. C₁₃×#534	C₂²	semidirect
118. C₁₃×#533	C₂²	semidirect
119. C₁₃×#533	C₂²	semidirect
120. C₁₃×#533	C₂²	semidirect
121. C₁₃×#532	C₂²	semidirect
122. C₁₃×#532	C₂²	semidirect
123. C₁₃×#532	C₂²	semidirect
124. C₁₃×#532	C₂²	semidirect
125. C₁₃×#532	C₂²	semidirect
126. C₁₃×#532	C₂²	semidirect
127. C₁₃×#532	C₂²	semidirect
128. C₁₃×#532	C₂²	semidirect
129. C₁₃×#532	C₂²	semidirect
130. C₁₃×#532	C₂²	semidirect
131. C₁₃×#532	C₂²	semidirect
132. C₁₃×#532	C₂²	semidirect
133. C₁₃×#532	C₂²	semidirect
134. C₁₃×#532	C₂²	semidirect
135. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
136. C₂×C₁₃×#127	C₂²	semidirect
137. C₁₃×#529	C₂²	semidirect
138. C₁₃×#529	C₂²	semidirect
139. C₁₃×#529	C₂²	semidirect
140. C₁₃×#529	C₂²	semidirect
141. C₁₃×#529	C₂²	semidirect
142. C₁₃×#529	C₂²	semidirect
143. C₁₃×#529	C₂²	semidirect
144. C₁₃×#529	C₂²	semidirect
145. C₁₃×#529	C₂²	semidirect
146. C₁₃×#529	C₂²	semidirect
147. C₁₃×#529	C₂²	semidirect
148. C₁₃×#529	C₂²	semidirect
149. C₁₃×#529	C₂²	semidirect
150. C₁₃×#529	C₂²	semidirect
151. C₁₃×#529	C₂²	semidirect
152. C₁₃×#529	C₂²	semidirect
153. C₁₃×#529	C₂²	semidirect
154. C₁₃×#529	C₂²	semidirect
155. C₂×C₁₃×#126	C₂²	semidirect
156. C₂×C₁₃×#125	C₂²	semidirect
157. C₂×C₁₃×#124	C₂²	semidirect
158. C₂×C₁₃×#124	C₂²	semidirect
159. C₁₃×#525	C₂²	semidirect
160. C₁₃×#525	C₂²	semidirect
161. C₁₃×#525	C₂²	semidirect
162. C₁₃×#525	C₂²	semidirect
163. C₁₃×#525	C₂²	semidirect
164. C₁₃×#525	C₂²	semidirect
165. C₁₃×#525	C₂²	semidirect
166. C₁₃×#525	C₂²	semidirect
167. C₁₃×#525	C₂²	semidirect
168. C₂×C₁₃×#123	C₂²	semidirect
169. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
171. C₂×C₁₃×#121	C₂²	semidirect
172. C₂×C₁₃×#121	C₂²	semidirect
173. C₄×C₁₃×#41	C₂²	semidirect
174. C₄×C₁₃×#41	C₂²	semidirect
175. C₄×C₁₃×#41	C₂²	semidirect
176. C₄×C₁₃×#41	C₂²	semidirect
177. C₄×C₁₃×#41	C₂²	semidirect
178. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
179. C₂×C₄×D₄×C₁₃	C₂²	semidirect
180. C₂×C₄×D₄×C₁₃	C₂²	semidirect
181. C₂×C₄×D₄×C₁₃	C₂²	semidirect
182. C₂×C₄×D₄×C₁₃	C₂²	semidirect
183. C₂×C₄×D₄×C₁₃	C₂²	semidirect
184. C₂×C₄×D₄×C₁₃	C₂²	semidirect
185. C₂×C₁₃×#117	C₂²	semidirect
186. C₂²×C₄²×C₁₃	C₂²	semidirect
494. #62748	C₁₃	direct (N × H)
687. #3562	C₂×C₁₃	semidirect
688. #3561	C₂×C₁₃	semidirect
689. #3560	C₂×C₁₃	semidirect
690. #3559	C₂×C₁₃	semidirect
691. #3558	C₂×C₁₃	semidirect
692. #3558	C₂×C₁₃	semidirect
693. #3554	C₂×C₁₃	semidirect
694. #3552	C₂×C₁₃	semidirect
695. #3546	C₂×C₁₃	semidirect
696. #3543	C₂×C₁₃	semidirect
697. #3537	C₂×C₁₃	semidirect
698. #3536	C₂×C₁₃	semidirect
699. #3534	C₂×C₁₃	semidirect
700. #3529	C₂×C₁₃	semidirect
701. #3481	C₂×C₁₃	semidirect
702. #3480	C₂×C₁₃	semidirect
703. D₄×#41	C₂×C₁₃	semidirect
704. D₄×#41	C₂×C₁₃	semidirect
705. #3460	C₂×C₁₃	semidirect
706. #3459	C₂×C₁₃	semidirect
707. #3455	C₂×C₁₃	semidirect
708. #3449	C₂×C₁₃	semidirect
709. #3444	C₂×C₁₃	semidirect
710. C₂×#532	C₂×C₁₃	semidirect
711. C₂×#529	C₂×C₁₃	semidirect
816. C₂²×#41	C₂²×C₁₃	semidirect
817. C₂²×#41	C₂²×C₁₃	semidirect
818. #563	C₂²×C₁₃	semidirect
819. #563	C₂²×C₁₃	semidirect
820. #562	C₂²×C₁₃	semidirect
821. #562	C₂²×C₁₃	semidirect
822. #562	C₂²×C₁₃	semidirect
823. #562	C₂²×C₁₃	semidirect
824. H(3,𝔽₄)	C₂²×C₁₃	semidirect
825. #560	C₂²×C₁₃	semidirect
826. #560	C₂²×C₁₃	semidirect
827. #560	C₂²×C₁₃	semidirect
828. #559	C₂²×C₁₃	semidirect
829. #559	C₂²×C₁₃	semidirect
830. #559	C₂²×C₁₃	semidirect
831. #557	C₂²×C₁₃	semidirect
832. #556	C₂²×C₁₃	semidirect
833. #556	C₂²×C₁₃	semidirect
834. #554	C₂²×C₁₃	semidirect
835. #554	C₂²×C₁₃	semidirect
836. #553	C₂²×C₁₃	semidirect
837. #553	C₂²×C₁₃	semidirect
838. #553	C₂²×C₁₃	semidirect
839. #553	C₂²×C₁₃	semidirect
840. #553	C₂²×C₁₃	semidirect
841. #551	C₂²×C₁₃	semidirect
842. #551	C₂²×C₁₃	semidirect
843. #550	C₂²×C₁₃	semidirect
844. #550	C₂²×C₁₃	semidirect
845. #550	C₂²×C₁₃	semidirect
846. D₄×Q₈	C₂²×C₁₃	semidirect
847. D₄×Q₈	C₂²×C₁₃	semidirect
848. #548	C₂²×C₁₃	semidirect
849. #548	C₂²×C₁₃	semidirect
850. #548	C₂²×C₁₃	semidirect
851. #548	C₂²×C₁₃	semidirect
852. #547	C₂²×C₁₃	semidirect
853. #547	C₂²×C₁₃	semidirect
854. #547	C₂²×C₁₃	semidirect
855. #547	C₂²×C₁₃	semidirect
856. #546	C₂²×C₁₃	semidirect
857. #546	C₂²×C₁₃	semidirect
858. #546	C₂²×C₁₃	semidirect
859. #546	C₂²×C₁₃	semidirect
860. #546	C₂²×C₁₃	semidirect
861. #546	C₂²×C₁₃	semidirect
862. #546	C₂²×C₁₃	semidirect
863. #546	C₂²×C₁₃	semidirect
864. #546	C₂²×C₁₃	semidirect
865. D₄²	C₂²×C₁₃	semidirect
866. D₄²	C₂²×C₁₃	semidirect
867. D₄²	C₂²×C₁₃	semidirect
868. D₄²	C₂²×C₁₃	semidirect
869. D₄²	C₂²×C₁₃	semidirect
870. #544	C₂²×C₁₃	semidirect
871. #543	C₂²×C₁₃	semidirect
872. #542	C₂²×C₁₃	semidirect
873. #542	C₂²×C₁₃	semidirect
874. #542	C₂²×C₁₃	semidirect
875. #542	C₂²×C₁₃	semidirect
876. #542	C₂²×C₁₃	semidirect
877. #541	C₂²×C₁₃	semidirect
878. #540	C₂²×C₁₃	semidirect
879. #540	C₂²×C₁₃	semidirect
880. #540	C₂²×C₁₃	semidirect
881. #540	C₂²×C₁₃	semidirect
882. #539	C₂²×C₁₃	semidirect
883. #539	C₂²×C₁₃	semidirect
884. #539	C₂²×C₁₃	semidirect
885. #539	C₂²×C₁₃	semidirect
886. #539	C₂²×C₁₃	semidirect
887. #538	C₂²×C₁₃	semidirect
888. #538	C₂²×C₁₃	semidirect
889. #538	C₂²×C₁₃	semidirect
890. #538	C₂²×C₁₃	semidirect
891. #538	C₂²×C₁₃	semidirect
892. #538	C₂²×C₁₃	semidirect
893. #538	C₂²×C₁₃	semidirect
894. #538	C₂²×C₁₃	semidirect
895. #537	C₂²×C₁₃	semidirect
896. #537	C₂²×C₁₃	semidirect
897. #537	C₂²×C₁₃	semidirect
898. #536	C₂²×C₁₃	semidirect
899. #536	C₂²×C₁₃	semidirect
900. #535	C₂²×C₁₃	semidirect
901. #535	C₂²×C₁₃	semidirect
902. #535	C₂²×C₁₃	semidirect
903. #535	C₂²×C₁₃	semidirect
904. #534	C₂²×C₁₃	semidirect
905. #534	C₂²×C₁₃	semidirect
906. #534	C₂²×C₁₃	semidirect
907. #534	C₂²×C₁₃	semidirect
908. #533	C₂²×C₁₃	semidirect
909. #533	C₂²×C₁₃	semidirect
910. #533	C₂²×C₁₃	semidirect
911. #532	C₂²×C₁₃	semidirect
912. #532	C₂²×C₁₃	semidirect
913. #532	C₂²×C₁₃	semidirect
914. #532	C₂²×C₁₃	semidirect
915. #532	C₂²×C₁₃	semidirect
916. #532	C₂²×C₁₃	semidirect
917. #532	C₂²×C₁₃	semidirect
918. #532	C₂²×C₁₃	semidirect
919. #532	C₂²×C₁₃	semidirect
920. #532	C₂²×C₁₃	semidirect
921. #532	C₂²×C₁₃	semidirect
922. #532	C₂²×C₁₃	semidirect
923. #532	C₂²×C₁₃	semidirect
924. #532	C₂²×C₁₃	semidirect
925. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
926. C₂×#127	C₂²×C₁₃	semidirect
927. #529	C₂²×C₁₃	semidirect
928. #529	C₂²×C₁₃	semidirect
929. #529	C₂²×C₁₃	semidirect
930. #529	C₂²×C₁₃	semidirect
931. #529	C₂²×C₁₃	semidirect
932. #529	C₂²×C₁₃	semidirect
933. #529	C₂²×C₁₃	semidirect
934. #529	C₂²×C₁₃	semidirect
935. #529	C₂²×C₁₃	semidirect
936. #529	C₂²×C₁₃	semidirect
937. #529	C₂²×C₁₃	semidirect
938. #529	C₂²×C₁₃	semidirect
939. #529	C₂²×C₁₃	semidirect
940. #529	C₂²×C₁₃	semidirect
941. #529	C₂²×C₁₃	semidirect
942. #529	C₂²×C₁₃	semidirect
943. #529	C₂²×C₁₃	semidirect
944. #529	C₂²×C₁₃	semidirect
945. C₂×#126	C₂²×C₁₃	semidirect
946. C₂×#125	C₂²×C₁₃	semidirect
947. C₂×#124	C₂²×C₁₃	semidirect
948. C₂×#124	C₂²×C₁₃	semidirect
949. #525	C₂²×C₁₃	semidirect
950. #525	C₂²×C₁₃	semidirect
951. #525	C₂²×C₁₃	semidirect
952. #525	C₂²×C₁₃	semidirect
953. #525	C₂²×C₁₃	semidirect
954. #525	C₂²×C₁₃	semidirect
955. #525	C₂²×C₁₃	semidirect
956. #525	C₂²×C₁₃	semidirect
957. #525	C₂²×C₁₃	semidirect
958. C₂×#123	C₂²×C₁₃	semidirect
959. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
961. C₂×#121	C₂²×C₁₃	semidirect
962. C₂×#121	C₂²×C₁₃	semidirect
963. C₄×#41	C₂²×C₁₃	semidirect
964. C₄×#41	C₂²×C₁₃	semidirect
965. C₄×#41	C₂²×C₁₃	semidirect
966. C₄×#41	C₂²×C₁₃	semidirect
967. C₄×#41	C₂²×C₁₃	semidirect
968. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
969. C₂×C₄×D₄	C₂²×C₁₃	semidirect
970. C₂×C₄×D₄	C₂²×C₁₃	semidirect
971. C₂×C₄×D₄	C₂²×C₁₃	semidirect
972. C₂×C₄×D₄	C₂²×C₁₃	semidirect
973. C₂×C₄×D₄	C₂²×C₁₃	semidirect
974. C₂×C₄×D₄	C₂²×C₁₃	semidirect
975. C₂×#117	C₂²×C₁₃	semidirect
976. C₂²×C₄²	C₂²×C₁₃	semidirect
1527. C₁₃	#62748	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×#3562	2
C₁₃×#3561	2
C₁₃×#3560	2
C₁₃×#3559	2
C₁₃×#3558	2
C₁₃×#3554	2
C₁₃×#3552	2
C₁₃×#3546	2
C₁₃×#3543	2
C₁₃×#3537	2
C₁₃×#3536	2
C₁₃×#3534	2
C₁₃×#3529	2
C₁₃×#3481	2
C₁₃×#3480	2
D₄×C₁₃×#41	2
C₁₃×#3460	2
C₁₃×#3459	2
C₁₃×#3455	2
C₁₃×#3449	2
C₁₃×#3444	2
C₂×C₁₃×#532	2
C₂×C₁₃×#529	2
#62748	13

Subgroups — C13×#62748 #15749087

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62748 #15749087