Subgroups — C₁₃×#62752 #15749091

Order 3328.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3564	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3563	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3563	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3561	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3559	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3555	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3552	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3547	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3544	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3538	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3536	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3535	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3531	C₂	1	4	yes	maximal, complemented
15	C₁₃×#3482	C₂	1	4	yes	maximal, complemented
16	Q₈×C₁₃×#41	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3475	C₂	1	4	yes	maximal, complemented
18	C₁₃×#3475	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3461	C₂	1	4	yes	maximal, complemented
20	C₁₃×#3461	C₂	1	4	yes	maximal, complemented
21	C₁₃×#3458	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3455	C₂	1	2	yes	maximal, complemented
23	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#564	C₂²	1	4	yes	complemented
27	C₁₃×#563	C₂²	1	8	yes	complemented
28	C₁₃×#563	C₂²	1	8	yes	complemented
29	C₁₃×#563	C₂²	1	8	yes	complemented
30	C₁₃×#563	C₂²	1	8	yes	complemented
31	C₁₃×#563	C₂²	1	4	yes	complemented
32	C₁₃×#563	C₂²	1	4	yes	complemented
33	C₁₃×#562	C₂²	1	8	yes	—
34	C₁₃×#562	C₂²	1	8	yes	complemented
35	C₁₃×#562	C₂²	1	4	yes	complemented
36	Q₈²×C₁₃	C₂²	1	2	yes	complemented
37	C₁₃×#557	C₂²	1	2	yes	complemented
38	C₁₃×#557	C₂²	1	4	yes	complemented
39	C₁₃×#557	C₂²	1	4	yes	complemented
40	C₁₃×#556	C₂²	1	2	yes	complemented
41	C₁₃×#556	C₂²	1	4	yes	complemented
42	C₁₃×#556	C₂²	1	4	yes	complemented
43	C₁₃×#556	C₂²	1	8	yes	complemented
44	C₁₃×#555	C₂²	1	2	yes	complemented
45	C₁₃×#555	C₂²	1	4	yes	complemented
46	C₁₃×#554	C₂²	1	8	yes	—
47	C₁₃×#554	C₂²	1	4	yes	—
48	C₁₃×#554	C₂²	1	2	yes	complemented
49	C₁₃×#554	C₂²	1	2	yes	complemented
50	C₁₃×#554	C₂²	1	4	yes	complemented
51	C₁₃×#554	C₂²	1	4	yes	complemented
52	C₁₃×#553	C₂²	1	4	yes	complemented
53	C₁₃×#553	C₂²	1	4	yes	complemented
54	C₁₃×#553	C₂²	1	4	yes	complemented
55	C₁₃×#552	C₂²	1	4	yes	—
56	C₁₃×#552	C₂²	1	8	yes	—
57	C₁₃×#552	C₂²	1	8	yes	complemented
58	C₁₃×#552	C₂²	1	4	yes	complemented
59	C₁₃×#552	C₂²	1	4	yes	complemented
60	C₁₃×#552	C₂²	1	4	yes	complemented
61	C₁₃×#552	C₂²	1	4	yes	complemented
62	C₁₃×#552	C₂²	1	4	yes	complemented
63	C₁₃×#552	C₂²	1	8	yes	complemented
64	C₁₃×#551	C₂²	1	8	yes	—
65	C₁₃×#551	C₂²	1	8	yes	—
66	C₁₃×#551	C₂²	1	8	yes	—
67	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
68	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
69	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
70	C₁₃×#548	C₂²	1	4	yes	—
71	C₁₃×#548	C₂²	1	4	yes	complemented
72	C₁₃×#547	C₂²	1	4	yes	—
73	C₁₃×#547	C₂²	1	8	yes	complemented
74	C₁₃×#547	C₂²	1	4	yes	complemented
75	C₁₃×#547	C₂²	1	2	yes	complemented
76	C₁₃×#546	C₂²	1	8	yes	—
77	C₁₃×#546	C₂²	1	4	yes	—
78	C₁₃×#544	C₂²	1	4	yes	—
79	C₁₃×#544	C₂²	1	4	yes	—
80	C₁₃×#544	C₂²	1	4	yes	complemented
81	C₁₃×#544	C₂²	1	4	yes	complemented
82	C₁₃×#544	C₂²	1	4	yes	complemented
83	C₁₃×#544	C₂²	1	4	yes	complemented
84	C₁₃×#544	C₂²	1	4	yes	complemented
85	C₁₃×#544	C₂²	1	4	yes	complemented
86	C₁₃×#543	C₂²	1	4	yes	—
87	C₁₃×#543	C₂²	1	4	yes	—
88	C₁₃×#542	C₂²	1	4	yes	—
89	C₁₃×#542	C₂²	1	8	yes	complemented
90	C₁₃×#542	C₂²	1	4	yes	complemented
91	C₁₃×#542	C₂²	1	4	yes	complemented
92	C₁₃×#542	C₂²	1	8	yes	complemented
93	C₁₃×#542	C₂²	1	4	yes	complemented
94	C₁₃×#542	C₂²	1	8	yes	complemented
95	C₁₃×#541	C₂²	1	4	yes	complemented
96	C₁₃×#541	C₂²	1	4	yes	complemented
97	C₁₃×#541	C₂²	1	4	yes	complemented
98	C₁₃×#541	C₂²	1	8	yes	complemented
99	C₁₃×#541	C₂²	1	8	yes	complemented
100	C₁₃×#541	C₂²	1	8	yes	complemented
101	C₁₃×#540	C₂²	1	4	yes	complemented
102	C₁₃×#539	C₂²	1	4	yes	—
103	C₁₃×#539	C₂²	1	4	yes	—
104	C₁₃×#539	C₂²	1	4	yes	—
105	C₁₃×#539	C₂²	1	8	yes	complemented
106	C₁₃×#539	C₂²	1	8	yes	complemented
107	C₁₃×#539	C₂²	1	4	yes	complemented
108	C₁₃×#539	C₂²	1	8	yes	complemented
109	C₁₃×#538	C₂²	1	4	yes	—
110	C₁₃×#538	C₂²	1	4	yes	—
111	C₁₃×#537	C₂²	1	4	yes	—
112	C₁₃×#537	C₂²	1	4	yes	—
113	C₁₃×#536	C₂²	1	8	yes	complemented
114	C₁₃×#536	C₂²	1	4	yes	complemented
115	C₁₃×#536	C₂²	1	4	yes	complemented
116	C₁₃×#533	C₂²	1	2	yes	—
117	C₁₃×#533	C₂²	1	2	yes	—
118	C₁₃×#533	C₂²	1	2	yes	—
119	C₁₃×#533	C₂²	1	2	yes	—
120	C₁₃×#533	C₂²	1	1	yes	characteristic
121	C₁₃×#533	C₂²	1	4	yes	—
122	C₁₃×#533	C₂²	1	2	yes	complemented
123	C₁₃×#533	C₂²	1	8	yes	complemented
124	C₁₃×#533	C₂²	1	8	yes	complemented
125	C₁₃×#533	C₂²	1	2	yes	complemented
126	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#533	C₂²	1	2	yes	complemented
129	C₁₃×#533	C₂²	1	2	yes	complemented
130	C₁₃×#533	C₂²	1	8	yes	complemented
131	C₁₃×#533	C₂²	1	4	yes	complemented
132	C₁₃×#532	C₂²	1	1	yes	characteristic
133	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#529	C₂²	1	2	yes	—
138	C₁₃×#529	C₂²	1	2	yes	—
139	C₁₃×#529	C₂²	1	2	yes	—
140	C₁₃×#529	C₂²	1	2	yes	—
141	C₁₃×#529	C₂²	1	2	yes	—
142	C₁₃×#529	C₂²	1	2	yes	—
143	C₁₃×#529	C₂²	1	2	yes	—
144	C₁₃×#529	C₂²	1	2	yes	—
145	C₁₃×#529	C₂²	1	2	yes	—
146	C₁₃×#529	C₂²	1	2	yes	—
147	C₁₃×#529	C₂²	1	2	yes	complemented
148	C₁₃×#529	C₂²	1	8	yes	complemented
149	C₁₃×#529	C₂²	1	8	yes	complemented
150	C₁₃×#529	C₂²	1	8	yes	complemented
151	C₁₃×#529	C₂²	1	8	yes	complemented
152	C₁₃×#529	C₂²	1	2	yes	complemented
153	C₁₃×#529	C₂²	1	2	yes	complemented
154	C₁₃×#529	C₂²	1	2	yes	complemented
155	C₁₃×#529	C₂²	1	8	yes	complemented
156	C₁₃×#529	C₂²	1	8	yes	complemented
157	C₁₃×#529	C₂²	1	4	yes	complemented
158	C₂×C₁₃×#126	C₂²	1	2	yes	—
159	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
160	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
161	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
162	C₁₃×#525	C₂²	1	2	yes	—
163	C₁₃×#525	C₂²	1	2	yes	—
164	C₁₃×#525	C₂²	1	2	yes	—
165	C₁₃×#525	C₂²	1	4	yes	—
166	C₂×C₁₃×#123	C₂²	1	2	yes	—
167	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
168	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
169	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
170	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×#41	C₂²	1	2	yes	—
172	C₄×C₁₃×#41	C₂²	1	4	yes	—
173	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
174	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
175	C₄×C₁₃×#41	C₂²	1	8	yes	complemented
176	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
177	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
178	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
179	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
180	C₂×C₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
181	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
182	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
183	C₂×C₁₃×#117	C₂²	1	2	yes	—
184	C₂×C₁₃×#117	C₂²	1	2	yes	—
185	C₂×C₁₃×#117	C₂²	1	4	yes	—
186	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
187	C₂×C₁₃×#41	C₂³	1	2	yes	—
188	C₂×C₁₃×#41	C₂³	1	2	yes	—
189	C₂×C₁₃×#41	C₂³	1	2	yes	—
190	C₂×C₁₃×#41	C₂³	1	8	yes	—
191	C₂×C₁₃×#41	C₂³	1	4	yes	—
192	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
194	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
195	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
196	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
197	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
203	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
205	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
206	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
207	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
214	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
216	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
217	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
218	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
219	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
220	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
221	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
222	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
223	C₁₃×#127	C₂³	1	1	yes	characteristic
224	C₁₃×#126	C₂³	1	4	yes	—
225	C₁₃×#126	C₂³	1	4	yes	—
226	C₁₃×#126	C₂³	1	4	yes	—
227	C₁₃×#126	C₂³	1	4	yes	—
228	C₁₃×#126	C₂³	1	4	yes	—
229	C₁₃×#126	C₂³	1	4	yes	—
230	C₁₃×#126	C₂³	1	8	yes	—
231	C₁₃×#126	C₂³	1	8	yes	—
232	C₁₃×#126	C₂³	1	8	yes	—
233	C₁₃×#126	C₂³	1	8	yes	—
234	C₁₃×#126	C₂³	1	8	yes	—
235	C₁₃×#126	C₂³	1	8	yes	—
236	C₁₃×#126	C₂³	1	8	yes	—
237	C₁₃×#126	C₂³	1	8	yes	—
238	C₁₃×#126	C₂³	1	8	yes	—
239	C₁₃×#126	C₂³	1	8	yes	—
240	C₁₃×#126	C₂³	1	8	yes	—
241	C₁₃×#126	C₂³	1	8	yes	—
242	C₁₃×#126	C₂³	1	8	yes	—
243	C₁₃×#125	C₂³	1	2	yes	—
244	C₁₃×#125	C₂³	1	2	yes	—
245	C₁₃×#125	C₂³	1	2	yes	—
246	C₁₃×#125	C₂³	1	2	yes	—
247	C₁₃×#125	C₂³	1	4	yes	—
248	C₁₃×#125	C₂³	1	4	yes	—
249	C₁₃×#125	C₂³	1	4	yes	—
250	C₁₃×#125	C₂³	1	4	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	8	yes	—
255	C₁₃×#125	C₂³	1	8	yes	—
256	C₁₃×#125	C₂³	1	8	yes	—
257	C₁₃×#125	C₂³	1	8	yes	—
258	C₁₃×#125	C₂³	1	4	yes	—
259	C₁₃×#125	C₂³	1	8	yes	—
260	C₁₃×#125	C₂³	1	8	yes	—
261	C₁₃×#125	C₂³	1	4	yes	—
262	C₁₃×#125	C₂³	1	4	yes	—
263	C₁₃×#125	C₂³	1	8	yes	—
264	C₁₃×#125	C₂³	1	8	yes	—
265	C₁₃×#125	C₂³	1	8	yes	—
266	C₁₃×#125	C₂³	1	8	yes	—
267	C₁₃×#125	C₂³	1	8	yes	—
268	C₁₃×#125	C₂³	1	8	yes	—
269	C₁₃×#125	C₂³	1	8	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	2	yes	—
274	C₁₃×#124	C₂³	1	2	yes	—
275	C₁₃×#124	C₂³	1	2	yes	—
276	C₁₃×#124	C₂³	1	2	yes	—
277	C₁₃×#124	C₂³	1	8	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×#124	C₂³	1	8	yes	—
283	C₁₃×#124	C₂³	1	8	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	4	yes	—
290	C₁₃×#123	C₂³	1	4	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×C₂²⋊Q₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
308	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
309	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
311	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
312	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
313	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
314	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
318	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
319	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
320	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
321	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
322	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
323	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
325	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
329	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
334	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
335	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
336	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
338	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
339	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
340	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
341	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
343	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
345	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
346	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
349	C₁₃×#121	C₂³	1	2	yes	—
350	C₁₃×#121	C₂³	1	2	yes	—
351	C₁₃×#121	C₂³	1	2	yes	—
352	C₁₃×#121	C₂³	1	2	yes	—
353	C₁₃×#121	C₂³	1	2	yes	—
354	C₁₃×#121	C₂³	1	2	yes	—
355	C₁₃×#121	C₂³	1	2	yes	—
356	C₁₃×#121	C₂³	1	2	yes	—
357	C₁₃×#121	C₂³	1	2	yes	—
358	C₁₃×#121	C₂³	1	2	yes	—
359	C₁₃×#121	C₂³	1	4	yes	—
360	C₁₃×#121	C₂³	1	4	yes	—
361	C₁₃×#121	C₂³	1	8	yes	—
362	C₁₃×#121	C₂³	1	8	yes	—
363	C₁₃×#121	C₂³	1	8	yes	—
364	C₁₃×#121	C₂³	1	4	yes	—
365	C₁₃×#121	C₂³	1	8	yes	—
366	C₁₃×#121	C₂³	1	8	yes	—
367	C₁₃×#121	C₂³	1	8	yes	—
368	C₁₃×#120	C₂³	1	4	yes	—
369	C₁₃×#120	C₂³	1	8	yes	—
370	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
371	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
372	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
373	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
374	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
375	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
376	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
377	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
378	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
379	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
380	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
381	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
382	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
383	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
384	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
385	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
386	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
387	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
388	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
389	C₄×Q₈×C₁₃	C₂³	1	4	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	8	yes	—
395	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
396	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
397	C₄×D₄×C₁₃	C₂³	1	2	yes	—
398	C₄×D₄×C₁₃	C₂³	1	4	yes	—
399	C₄×D₄×C₁₃	C₂³	1	2	yes	—
400	C₄×D₄×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	2	yes	—
404	C₄×D₄×C₁₃	C₂³	1	4	yes	—
405	C₄×D₄×C₁₃	C₂³	1	4	yes	—
406	C₄×D₄×C₁₃	C₂³	1	4	yes	—
407	C₄×D₄×C₁₃	C₂³	1	2	yes	—
408	C₄×D₄×C₁₃	C₂³	1	2	yes	—
409	C₄×D₄×C₁₃	C₂³	1	8	yes	—
410	C₄×D₄×C₁₃	C₂³	1	8	yes	—
411	C₄×D₄×C₁₃	C₂³	1	4	yes	—
412	C₄×D₄×C₁₃	C₂³	1	4	yes	—
413	C₄×D₄×C₁₃	C₂³	1	4	yes	—
414	C₄×D₄×C₁₃	C₂³	1	4	yes	—
415	C₄×D₄×C₁₃	C₂³	1	8	yes	—
416	C₄×D₄×C₁₃	C₂³	1	8	yes	—
417	C₄×D₄×C₁₃	C₂³	1	4	yes	—
418	C₄×D₄×C₁₃	C₂³	1	4	yes	—
419	C₄×D₄×C₁₃	C₂³	1	2	yes	—
420	C₄×D₄×C₁₃	C₂³	1	2	yes	—
421	C₄×D₄×C₁₃	C₂³	1	2	yes	—
422	C₄×D₄×C₁₃	C₂³	1	2	yes	—
423	C₄×D₄×C₁₃	C₂³	1	8	yes	—
424	C₄×D₄×C₁₃	C₂³	1	8	yes	—
425	C₄×D₄×C₁₃	C₂³	1	8	yes	—
426	C₄×D₄×C₁₃	C₂³	1	4	yes	—
427	C₄×D₄×C₁₃	C₂³	1	8	yes	—
428	C₁₃×#117	C₂³	1	4	yes	—
429	C₁₃×#117	C₂³	1	2	yes	—
430	C₁₃×#117	C₂³	1	4	yes	—
431	C₁₃×#117	C₂³	1	4	yes	—
432	C₁₃×#117	C₂³	1	4	yes	—
433	C₁₃×#117	C₂³	1	4	yes	—
434	C₁₃×#117	C₂³	1	4	yes	—
435	C₁₃×#117	C₂³	1	8	yes	—
436	C₁₃×#117	C₂³	1	4	yes	—
437	C₁₃×#117	C₂³	1	4	yes	—
438	C₁₃×#117	C₂³	1	8	yes	—
439	C₁₃×#117	C₂³	1	4	yes	—
440	C₁₃×#117	C₂³	1	4	yes	—
441	C₁₃×#117	C₂³	1	4	yes	—
442	C₁₃×#117	C₂³	1	8	yes	—
443	C₁₃×#117	C₂³	1	2	yes	—
444	C₁₃×#117	C₂³	1	2	yes	—
445	C₁₃×#117	C₂³	1	4	yes	—
446	C₁₃×#117	C₂³	1	4	yes	—
447	C₁₃×#117	C₂³	1	8	yes	—
448	C₁₃×#117	C₂³	1	4	yes	—
449	C₁₃×#117	C₂³	1	8	yes	—
450	C₁₃×#117	C₂³	1	8	yes	—
451	C₁₃×#117	C₂³	1	8	yes	—
452	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
453	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
454	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
456	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
457	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
458	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
459	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
460	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
461	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
462	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
463	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
464	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
465	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
466	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
467	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
468	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
469	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
470	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
471	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
472	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
473	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
474	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
475	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
476	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
477	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
478	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
488	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
489	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
490	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
491	C₂×C₄²×C₁₃	C₂³	1	8	yes	—
492	#62752	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
493	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
494	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
495	C₁₃×#41	—	2	8	no	—
496	C₁₃×#41	—	4	4	no	—
497	C₁₃×#41	—	4	4	no	—
498	C₁₃×#41	—	4	16	no	—
499	C₁₃×#41	—	4	8	no	—
500	C₂×Q₈×C₁₃	—	4	4	no	—
501	C₂×Q₈×C₁₃	—	4	2	no	—
502	C₂×Q₈×C₁₃	—	4	4	no	—
503	C₂×Q₈×C₁₃	—	4	8	no	—
504	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
505	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
506	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
507	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
508	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
509	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
510	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
511	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
512	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
513	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
514	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
515	C₂×D₄×C₁₃	—	4	2	no	—
516	C₂×D₄×C₁₃	—	4	4	no	—
517	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
518	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
519	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
520	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
521	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
522	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
523	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
524	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
525	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
526	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
527	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
528	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
529	C₂²×C₄×C₁₃	—	2	4	no	—
530	C₂²×C₄×C₁₃	—	2	8	no	—
531	C₂²×C₄×C₁₃	—	4	2	no	—
532	C₂²×C₄×C₁₃	—	4	2	no	—
533	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
542	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
543	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
544	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
545	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
547	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
549	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
557	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
558	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
559	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
560	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
561	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
562	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
563	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
564	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
565	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
566	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
567	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
568	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
569	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
571	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
572	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
573	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
574	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
575	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
576	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
577	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
578	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
579	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
580	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
581	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
582	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
583	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
584	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
585	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
586	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
587	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
588	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
589	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
590	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
591	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
592	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
593	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
594	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
595	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
596	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
597	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
600	C₁₃×C₄⋊C₄	C₂⁴	1	2	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	8	yes	—
605	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
607	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
608	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
609	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
610	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
611	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
612	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
613	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
614	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
615	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
616	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
617	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
618	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
619	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
620	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
621	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
622	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
623	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
624	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
625	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
626	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
627	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
628	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
629	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
630	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
631	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
632	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
633	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
634	C₁₃×C₂²⋊C₄	C₂⁴	1	8	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	8	yes	—
639	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
640	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
642	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
643	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
644	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
645	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
646	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
647	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
648	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
650	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
652	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
653	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
654	C₄²×C₁₃	C₂⁴	1	8	yes	—
655	C₄²×C₁₃	C₂⁴	1	4	yes	—
656	C₄²×C₁₃	C₂⁴	1	8	yes	—
657	C₄²×C₁₃	C₂⁴	1	4	yes	—
658	C₄²×C₁₃	C₂⁴	1	4	yes	—
659	C₄²×C₁₃	C₂⁴	1	8	yes	—
660	C₄²×C₁₃	C₂⁴	1	8	yes	—
661	C₄²×C₁₃	C₂⁴	1	8	yes	—
662	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
663	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
664	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
665	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
666	C₄²×C₁₃	C₂⁴	1	4	yes	—
667	C₄²×C₁₃	C₂⁴	1	8	yes	—
668	C₄²×C₁₃	C₂⁴	1	4	yes	—
669	#3565	C₂×C₁₃	1	4	yes	complemented
670	#3564	C₂×C₁₃	1	4	yes	complemented
671	#3563	C₂×C₁₃	1	2	yes	complemented
672	#3563	C₂×C₁₃	1	2	yes	complemented
673	#3561	C₂×C₁₃	1	2	yes	complemented
674	#3559	C₂×C₁₃	1	2	yes	complemented
675	#3555	C₂×C₁₃	1	2	yes	complemented
676	#3552	C₂×C₁₃	1	2	yes	complemented
677	#3547	C₂×C₁₃	1	2	yes	complemented
678	#3544	C₂×C₁₃	1	2	yes	complemented
679	#3538	C₂×C₁₃	1	2	yes	complemented
680	#3536	C₂×C₁₃	1	2	yes	complemented
681	#3535	C₂×C₁₃	1	4	yes	complemented
682	#3531	C₂×C₁₃	1	4	yes	complemented
683	#3482	C₂×C₁₃	1	4	yes	complemented
684	Q₈×#41	C₂×C₁₃	1	2	yes	complemented
685	#3475	C₂×C₁₃	1	4	yes	complemented
686	#3475	C₂×C₁₃	1	2	yes	complemented
687	#3461	C₂×C₁₃	1	4	yes	complemented
688	#3461	C₂×C₁₃	1	4	yes	complemented
689	#3458	C₂×C₁₃	1	2	yes	complemented
690	#3455	C₂×C₁₃	1	2	yes	complemented
691	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
692	C₂×#533	C₂×C₁₃	1	1	yes	characteristic, complemented
693	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
694	C₂³×C₁₃	—	2	2	no	—
695	C₂³×C₁₃	—	2	2	no	—
696	C₂³×C₁₃	—	2	4	no	—
697	C₂³×C₁₃	—	4	1	no	—
698	C₂³×C₁₃	—	4	2	no	—
699	C₂³×C₁₃	—	4	2	no	—
700	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
701	C₂³×C₁₃	C₂⁵	1	4	yes	—
702	C₂³×C₁₃	C₂⁵	1	4	yes	—
703	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
704	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
705	Q₈×C₁₃	—	2	4	no	—
706	Q₈×C₁₃	—	2	4	no	—
707	Q₈×C₁₃	—	2	8	no	—
708	Q₈×C₁₃	—	4	2	no	—
709	Q₈×C₁₃	—	4	4	no	—
710	Q₈×C₁₃	—	4	4	no	—
711	Q₈×C₁₃	—	4	8	no	—
712	Q₈×C₁₃	—	4	4	no	—
713	Q₈×C₁₃	—	4	2	no	—
714	Q₈×C₁₃	—	4	2	no	—
715	Q₈×C₁₃	—	4	8	no	—
716	D₄×C₁₃	—	2	8	no	—
717	D₄×C₁₃	—	2	8	no	—
718	D₄×C₁₃	—	2	8	no	—
719	D₄×C₁₃	—	2	4	no	—
720	D₄×C₁₃	—	2	4	no	—
721	D₄×C₁₃	—	4	2	no	—
722	D₄×C₁₃	—	4	4	no	—
723	D₄×C₁₃	—	4	2	no	—
724	D₄×C₁₃	—	4	2	no	—
725	D₄×C₁₃	—	4	4	no	—
726	D₄×C₁₃	—	4	8	no	—
727	D₄×C₁₃	—	4	8	no	—
728	C₂×C₄×C₁₃	—	2	2	no	—
729	C₂×C₄×C₁₃	—	2	4	no	—
730	C₂×C₄×C₁₃	—	2	2	no	—
731	C₂×C₄×C₁₃	—	2	2	no	—
732	C₂×C₄×C₁₃	—	2	8	no	—
733	C₂×C₄×C₁₃	—	2	2	no	—
734	C₂×C₄×C₁₃	—	2	2	no	—
735	C₂×C₄×C₁₃	—	2	8	no	—
736	C₂×C₄×C₁₃	—	2	2	no	—
737	C₂×C₄×C₁₃	—	2	2	no	—
738	C₂×C₄×C₁₃	—	2	8	no	—
739	C₂×C₄×C₁₃	—	2	8	no	—
740	C₂×C₄×C₁₃	—	2	2	no	—
741	C₂×C₄×C₁₃	—	2	2	no	—
742	C₂×C₄×C₁₃	—	2	2	no	—
743	C₂×C₄×C₁₃	—	2	8	no	—
744	C₂×C₄×C₁₃	—	4	1	no	—
745	C₂×C₄×C₁₃	—	4	1	no	—
746	C₂×C₄×C₁₃	—	4	1	no	—
747	C₂×C₄×C₁₃	—	4	1	no	—
748	C₂×C₄×C₁₃	—	4	1	no	—
749	C₂×C₄×C₁₃	—	4	1	no	—
750	C₂×C₄×C₁₃	—	4	1	no	—
751	C₂×C₄×C₁₃	—	4	2	no	—
752	C₂×C₄×C₁₃	—	4	4	no	—
753	C₂×C₄×C₁₃	—	4	8	no	—
754	C₂×C₄×C₁₃	—	4	2	no	—
755	C₂×C₄×C₁₃	—	4	4	no	—
756	C₂×C₄×C₁₃	—	4	8	no	—
757	C₂×C₄×C₁₃	—	4	8	no	—
758	C₂×C₄×C₁₃	—	4	8	no	—
759	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
760	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
761	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
762	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
763	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
764	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
765	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
766	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
767	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
768	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
769	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
770	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
771	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
772	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
773	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
774	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
775	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
776	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
777	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
778	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
779	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
780	#564	C₂²×C₁₃	1	4	yes	complemented
781	#563	C₂²×C₁₃	1	8	yes	complemented
782	#563	C₂²×C₁₃	1	8	yes	complemented
783	#563	C₂²×C₁₃	1	8	yes	complemented
784	#563	C₂²×C₁₃	1	8	yes	complemented
785	#563	C₂²×C₁₃	1	4	yes	complemented
786	#563	C₂²×C₁₃	1	4	yes	complemented
787	#562	C₂²×C₁₃	1	8	yes	—
788	#562	C₂²×C₁₃	1	8	yes	complemented
789	#562	C₂²×C₁₃	1	4	yes	complemented
790	Q₈²	C₂²×C₁₃	1	2	yes	complemented
791	#557	C₂²×C₁₃	1	2	yes	complemented
792	#557	C₂²×C₁₃	1	4	yes	complemented
793	#557	C₂²×C₁₃	1	4	yes	complemented
794	#556	C₂²×C₁₃	1	2	yes	complemented
795	#556	C₂²×C₁₃	1	4	yes	complemented
796	#556	C₂²×C₁₃	1	4	yes	complemented
797	#556	C₂²×C₁₃	1	8	yes	complemented
798	#555	C₂²×C₁₃	1	2	yes	complemented
799	#555	C₂²×C₁₃	1	4	yes	complemented
800	#554	C₂²×C₁₃	1	8	yes	—
801	#554	C₂²×C₁₃	1	4	yes	—
802	#554	C₂²×C₁₃	1	2	yes	complemented
803	#554	C₂²×C₁₃	1	4	yes	complemented
804	#554	C₂²×C₁₃	1	2	yes	complemented
805	#554	C₂²×C₁₃	1	4	yes	complemented
806	#553	C₂²×C₁₃	1	4	yes	complemented
807	#553	C₂²×C₁₃	1	4	yes	complemented
808	#553	C₂²×C₁₃	1	4	yes	complemented
809	#552	C₂²×C₁₃	1	4	yes	—
810	#552	C₂²×C₁₃	1	8	yes	—
811	#552	C₂²×C₁₃	1	4	yes	complemented
812	#552	C₂²×C₁₃	1	4	yes	complemented
813	#552	C₂²×C₁₃	1	4	yes	complemented
814	#552	C₂²×C₁₃	1	8	yes	complemented
815	#552	C₂²×C₁₃	1	4	yes	complemented
816	#552	C₂²×C₁₃	1	4	yes	complemented
817	#552	C₂²×C₁₃	1	8	yes	complemented
818	#551	C₂²×C₁₃	1	8	yes	—
819	#551	C₂²×C₁₃	1	8	yes	—
820	#551	C₂²×C₁₃	1	8	yes	—
821	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
822	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
823	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
824	#548	C₂²×C₁₃	1	4	yes	—
825	#548	C₂²×C₁₃	1	4	yes	complemented
826	#547	C₂²×C₁₃	1	4	yes	—
827	#547	C₂²×C₁₃	1	4	yes	complemented
828	#547	C₂²×C₁₃	1	2	yes	complemented
829	#547	C₂²×C₁₃	1	8	yes	complemented
830	#546	C₂²×C₁₃	1	8	yes	—
831	#546	C₂²×C₁₃	1	4	yes	—
832	#544	C₂²×C₁₃	1	4	yes	—
833	#544	C₂²×C₁₃	1	4	yes	—
834	#544	C₂²×C₁₃	1	4	yes	complemented
835	#544	C₂²×C₁₃	1	4	yes	complemented
836	#544	C₂²×C₁₃	1	4	yes	complemented
837	#544	C₂²×C₁₃	1	4	yes	complemented
838	#544	C₂²×C₁₃	1	4	yes	complemented
839	#544	C₂²×C₁₃	1	4	yes	complemented
840	#543	C₂²×C₁₃	1	4	yes	—
841	#543	C₂²×C₁₃	1	4	yes	—
842	#542	C₂²×C₁₃	1	4	yes	—
843	#542	C₂²×C₁₃	1	4	yes	complemented
844	#542	C₂²×C₁₃	1	4	yes	complemented
845	#542	C₂²×C₁₃	1	8	yes	complemented
846	#542	C₂²×C₁₃	1	4	yes	complemented
847	#542	C₂²×C₁₃	1	8	yes	complemented
848	#542	C₂²×C₁₃	1	8	yes	complemented
849	#541	C₂²×C₁₃	1	4	yes	complemented
850	#541	C₂²×C₁₃	1	4	yes	complemented
851	#541	C₂²×C₁₃	1	4	yes	complemented
852	#541	C₂²×C₁₃	1	8	yes	complemented
853	#541	C₂²×C₁₃	1	8	yes	complemented
854	#541	C₂²×C₁₃	1	8	yes	complemented
855	#540	C₂²×C₁₃	1	4	yes	complemented
856	#539	C₂²×C₁₃	1	4	yes	—
857	#539	C₂²×C₁₃	1	4	yes	—
858	#539	C₂²×C₁₃	1	4	yes	—
859	#539	C₂²×C₁₃	1	8	yes	complemented
860	#539	C₂²×C₁₃	1	8	yes	complemented
861	#539	C₂²×C₁₃	1	4	yes	complemented
862	#539	C₂²×C₁₃	1	8	yes	complemented
863	#538	C₂²×C₁₃	1	4	yes	—
864	#538	C₂²×C₁₃	1	4	yes	—
865	#537	C₂²×C₁₃	1	4	yes	—
866	#537	C₂²×C₁₃	1	4	yes	—
867	#536	C₂²×C₁₃	1	8	yes	complemented
868	#536	C₂²×C₁₃	1	4	yes	complemented
869	#536	C₂²×C₁₃	1	4	yes	complemented
870	#533	C₂²×C₁₃	1	2	yes	—
871	#533	C₂²×C₁₃	1	2	yes	—
872	#533	C₂²×C₁₃	1	2	yes	—
873	#533	C₂²×C₁₃	1	2	yes	—
874	#533	C₂²×C₁₃	1	1	yes	characteristic
875	#533	C₂²×C₁₃	1	4	yes	—
876	#533	C₂²×C₁₃	1	2	yes	complemented
877	#533	C₂²×C₁₃	1	2	yes	complemented
878	#533	C₂²×C₁₃	1	2	yes	complemented
879	#533	C₂²×C₁₃	1	2	yes	complemented
880	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
881	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#533	C₂²×C₁₃	1	8	yes	complemented
883	#533	C₂²×C₁₃	1	8	yes	complemented
884	#533	C₂²×C₁₃	1	4	yes	complemented
885	#533	C₂²×C₁₃	1	8	yes	complemented
886	#532	C₂²×C₁₃	1	1	yes	characteristic
887	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#529	C₂²×C₁₃	1	2	yes	—
892	#529	C₂²×C₁₃	1	2	yes	—
893	#529	C₂²×C₁₃	1	2	yes	—
894	#529	C₂²×C₁₃	1	2	yes	—
895	#529	C₂²×C₁₃	1	2	yes	—
896	#529	C₂²×C₁₃	1	2	yes	—
897	#529	C₂²×C₁₃	1	2	yes	—
898	#529	C₂²×C₁₃	1	2	yes	—
899	#529	C₂²×C₁₃	1	2	yes	—
900	#529	C₂²×C₁₃	1	2	yes	—
901	#529	C₂²×C₁₃	1	2	yes	complemented
902	#529	C₂²×C₁₃	1	2	yes	complemented
903	#529	C₂²×C₁₃	1	2	yes	complemented
904	#529	C₂²×C₁₃	1	2	yes	complemented
905	#529	C₂²×C₁₃	1	8	yes	complemented
906	#529	C₂²×C₁₃	1	8	yes	complemented
907	#529	C₂²×C₁₃	1	8	yes	complemented
908	#529	C₂²×C₁₃	1	4	yes	complemented
909	#529	C₂²×C₁₃	1	8	yes	complemented
910	#529	C₂²×C₁₃	1	8	yes	complemented
911	#529	C₂²×C₁₃	1	8	yes	complemented
912	C₂×#126	C₂²×C₁₃	1	2	yes	—
913	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
914	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
915	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
916	#525	C₂²×C₁₃	1	2	yes	—
917	#525	C₂²×C₁₃	1	2	yes	—
918	#525	C₂²×C₁₃	1	2	yes	—
919	#525	C₂²×C₁₃	1	4	yes	—
920	C₂×#123	C₂²×C₁₃	1	2	yes	—
921	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
922	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
923	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
924	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
925	C₄×#41	C₂²×C₁₃	1	2	yes	—
926	C₄×#41	C₂²×C₁₃	1	4	yes	—
927	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
928	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
929	C₄×#41	C₂²×C₁₃	1	8	yes	complemented
930	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
931	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
932	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
933	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
934	C₂×C₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
935	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
936	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
937	C₂×#117	C₂²×C₁₃	1	2	yes	—
938	C₂×#117	C₂²×C₁₃	1	2	yes	—
939	C₂×#117	C₂²×C₁₃	1	4	yes	—
940	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
941	C₂²×C₁₃	—	2	1	no	—
942	C₂²×C₁₃	—	2	1	no	—
943	C₂²×C₁₃	—	2	1	no	—
944	C₂²×C₁₃	—	2	1	no	—
945	C₂²×C₁₃	—	2	1	no	—
946	C₂²×C₁₃	—	2	4	no	—
947	C₂²×C₁₃	—	2	4	no	—
948	C₂²×C₁₃	—	2	4	no	—
949	C₂²×C₁₃	—	2	1	no	—
950	C₂²×C₁₃	—	2	4	no	—
951	C₂²×C₁₃	—	2	4	no	—
952	C₂²×C₁₃	—	2	4	no	—
953	C₂²×C₁₃	—	2	1	no	—
954	C₂²×C₁₃	—	4	4	no	—
955	C₂²×C₁₃	—	8	4	no	—
956	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
957	C₂²×C₁₃	#585	1	2	yes	—
958	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
959	C₄×C₁₃	—	2	1	no	—
960	C₄×C₁₃	—	2	1	no	—
961	C₄×C₁₃	—	2	4	no	—
962	C₄×C₁₃	—	2	4	no	—
963	C₄×C₁₃	—	2	1	no	—
964	C₄×C₁₃	—	2	1	no	—
965	C₄×C₁₃	—	2	1	no	—
966	C₄×C₁₃	—	2	1	no	—
967	C₄×C₁₃	—	2	8	no	—
968	C₄×C₁₃	—	2	4	no	—
969	C₄×C₁₃	—	2	1	no	—
970	C₄×C₁₃	—	2	1	no	—
971	C₄×C₁₃	—	2	1	no	—
972	C₄×C₁₃	—	2	4	no	—
973	C₄×C₁₃	—	2	4	no	—
974	C₄×C₁₃	—	2	8	no	—
975	C₄×C₁₃	—	2	4	no	—
976	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
977	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
978	C₄×C₁₃	#585	1	2	yes	—
979	C₂×#41	C₂³×C₁₃	1	2	yes	—
980	C₂×#41	C₂³×C₁₃	1	2	yes	—
981	C₂×#41	C₂³×C₁₃	1	2	yes	—
982	C₂×#41	C₂³×C₁₃	1	8	yes	—
983	C₂×#41	C₂³×C₁₃	1	4	yes	—
984	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
985	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
986	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
987	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
988	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
989	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
991	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
995	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
996	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
997	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
998	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
999	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1000	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1001	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1002	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1003	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1004	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1005	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1006	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1007	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1008	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1009	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1010	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1011	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1012	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1013	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1014	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1015	#127	C₂³×C₁₃	1	1	yes	characteristic
1016	#126	C₂³×C₁₃	1	4	yes	—
1017	#126	C₂³×C₁₃	1	4	yes	—
1018	#126	C₂³×C₁₃	1	4	yes	—
1019	#126	C₂³×C₁₃	1	4	yes	—
1020	#126	C₂³×C₁₃	1	4	yes	—
1021	#126	C₂³×C₁₃	1	4	yes	—
1022	#126	C₂³×C₁₃	1	8	yes	—
1023	#126	C₂³×C₁₃	1	8	yes	—
1024	#126	C₂³×C₁₃	1	8	yes	—
1025	#126	C₂³×C₁₃	1	8	yes	—
1026	#126	C₂³×C₁₃	1	8	yes	—
1027	#126	C₂³×C₁₃	1	8	yes	—
1028	#126	C₂³×C₁₃	1	8	yes	—
1029	#126	C₂³×C₁₃	1	8	yes	—
1030	#126	C₂³×C₁₃	1	8	yes	—
1031	#126	C₂³×C₁₃	1	8	yes	—
1032	#126	C₂³×C₁₃	1	8	yes	—
1033	#126	C₂³×C₁₃	1	8	yes	—
1034	#126	C₂³×C₁₃	1	8	yes	—
1035	#125	C₂³×C₁₃	1	2	yes	—
1036	#125	C₂³×C₁₃	1	2	yes	—
1037	#125	C₂³×C₁₃	1	2	yes	—
1038	#125	C₂³×C₁₃	1	2	yes	—
1039	#125	C₂³×C₁₃	1	4	yes	—
1040	#125	C₂³×C₁₃	1	4	yes	—
1041	#125	C₂³×C₁₃	1	4	yes	—
1042	#125	C₂³×C₁₃	1	4	yes	—
1043	#125	C₂³×C₁₃	1	2	yes	—
1044	#125	C₂³×C₁₃	1	2	yes	—
1045	#125	C₂³×C₁₃	1	2	yes	—
1046	#125	C₂³×C₁₃	1	8	yes	—
1047	#125	C₂³×C₁₃	1	8	yes	—
1048	#125	C₂³×C₁₃	1	8	yes	—
1049	#125	C₂³×C₁₃	1	8	yes	—
1050	#125	C₂³×C₁₃	1	4	yes	—
1051	#125	C₂³×C₁₃	1	8	yes	—
1052	#125	C₂³×C₁₃	1	8	yes	—
1053	#125	C₂³×C₁₃	1	4	yes	—
1054	#125	C₂³×C₁₃	1	4	yes	—
1055	#125	C₂³×C₁₃	1	8	yes	—
1056	#125	C₂³×C₁₃	1	8	yes	—
1057	#125	C₂³×C₁₃	1	8	yes	—
1058	#125	C₂³×C₁₃	1	8	yes	—
1059	#125	C₂³×C₁₃	1	8	yes	—
1060	#125	C₂³×C₁₃	1	8	yes	—
1061	#125	C₂³×C₁₃	1	8	yes	—
1062	#124	C₂³×C₁₃	1	2	yes	—
1063	#124	C₂³×C₁₃	1	2	yes	—
1064	#124	C₂³×C₁₃	1	2	yes	—
1065	#124	C₂³×C₁₃	1	2	yes	—
1066	#124	C₂³×C₁₃	1	2	yes	—
1067	#124	C₂³×C₁₃	1	2	yes	—
1068	#124	C₂³×C₁₃	1	2	yes	—
1069	#124	C₂³×C₁₃	1	8	yes	—
1070	#124	C₂³×C₁₃	1	4	yes	—
1071	#124	C₂³×C₁₃	1	8	yes	—
1072	#124	C₂³×C₁₃	1	8	yes	—
1073	#124	C₂³×C₁₃	1	8	yes	—
1074	#124	C₂³×C₁₃	1	8	yes	—
1075	#124	C₂³×C₁₃	1	8	yes	—
1076	#123	C₂³×C₁₃	1	4	yes	—
1077	#123	C₂³×C₁₃	1	4	yes	—
1078	#123	C₂³×C₁₃	1	4	yes	—
1079	#123	C₂³×C₁₃	1	4	yes	—
1080	#123	C₂³×C₁₃	1	4	yes	—
1081	#123	C₂³×C₁₃	1	4	yes	—
1082	#123	C₂³×C₁₃	1	4	yes	—
1083	#123	C₂³×C₁₃	1	8	yes	—
1084	#123	C₂³×C₁₃	1	8	yes	—
1085	#123	C₂³×C₁₃	1	8	yes	—
1086	#123	C₂³×C₁₃	1	8	yes	—
1087	#123	C₂³×C₁₃	1	8	yes	—
1088	#123	C₂³×C₁₃	1	8	yes	—
1089	#123	C₂³×C₁₃	1	8	yes	—
1090	#123	C₂³×C₁₃	1	8	yes	—
1091	#123	C₂³×C₁₃	1	8	yes	—
1092	#123	C₂³×C₁₃	1	8	yes	—
1093	#123	C₂³×C₁₃	1	8	yes	—
1094	#123	C₂³×C₁₃	1	8	yes	—
1095	#123	C₂³×C₁₃	1	8	yes	—
1096	#123	C₂³×C₁₃	1	8	yes	—
1097	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1098	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1099	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1100	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1101	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1102	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1103	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1104	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1105	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1106	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1107	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1108	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1109	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1110	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1111	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1112	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1113	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1114	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1115	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1116	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1117	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1118	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1119	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1120	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1121	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1122	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1123	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1124	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1125	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1126	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1127	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1128	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1129	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1130	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1131	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1132	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1133	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1134	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1135	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1136	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1137	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1138	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1139	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1140	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1141	#121	C₂³×C₁₃	1	2	yes	—
1142	#121	C₂³×C₁₃	1	2	yes	—
1143	#121	C₂³×C₁₃	1	2	yes	—
1144	#121	C₂³×C₁₃	1	2	yes	—
1145	#121	C₂³×C₁₃	1	2	yes	—
1146	#121	C₂³×C₁₃	1	2	yes	—
1147	#121	C₂³×C₁₃	1	2	yes	—
1148	#121	C₂³×C₁₃	1	2	yes	—
1149	#121	C₂³×C₁₃	1	2	yes	—
1150	#121	C₂³×C₁₃	1	2	yes	—
1151	#121	C₂³×C₁₃	1	4	yes	—
1152	#121	C₂³×C₁₃	1	4	yes	—
1153	#121	C₂³×C₁₃	1	8	yes	—
1154	#121	C₂³×C₁₃	1	8	yes	—
1155	#121	C₂³×C₁₃	1	8	yes	—
1156	#121	C₂³×C₁₃	1	4	yes	—
1157	#121	C₂³×C₁₃	1	8	yes	—
1158	#121	C₂³×C₁₃	1	8	yes	—
1159	#121	C₂³×C₁₃	1	8	yes	—
1160	#120	C₂³×C₁₃	1	4	yes	—
1161	#120	C₂³×C₁₃	1	8	yes	—
1162	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1163	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1164	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1165	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1166	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1167	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1168	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1169	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1170	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1171	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1172	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1173	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1174	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1175	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1176	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1177	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1178	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1179	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1180	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1181	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1182	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1183	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1184	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1185	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1186	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1187	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1188	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1189	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1190	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1191	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1192	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1193	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1194	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1195	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1196	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1197	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1198	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1199	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1200	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1201	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1202	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1203	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1204	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1205	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1206	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1207	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1208	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1209	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1210	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1211	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1212	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1213	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1214	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1215	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1216	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1217	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1218	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1219	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1220	#117	C₂³×C₁₃	1	4	yes	—
1221	#117	C₂³×C₁₃	1	2	yes	—
1222	#117	C₂³×C₁₃	1	4	yes	—
1223	#117	C₂³×C₁₃	1	4	yes	—
1224	#117	C₂³×C₁₃	1	4	yes	—
1225	#117	C₂³×C₁₃	1	4	yes	—
1226	#117	C₂³×C₁₃	1	4	yes	—
1227	#117	C₂³×C₁₃	1	8	yes	—
1228	#117	C₂³×C₁₃	1	4	yes	—
1229	#117	C₂³×C₁₃	1	4	yes	—
1230	#117	C₂³×C₁₃	1	8	yes	—
1231	#117	C₂³×C₁₃	1	4	yes	—
1232	#117	C₂³×C₁₃	1	4	yes	—
1233	#117	C₂³×C₁₃	1	4	yes	—
1234	#117	C₂³×C₁₃	1	8	yes	—
1235	#117	C₂³×C₁₃	1	2	yes	—
1236	#117	C₂³×C₁₃	1	2	yes	—
1237	#117	C₂³×C₁₃	1	4	yes	—
1238	#117	C₂³×C₁₃	1	4	yes	—
1239	#117	C₂³×C₁₃	1	8	yes	—
1240	#117	C₂³×C₁₃	1	4	yes	—
1241	#117	C₂³×C₁₃	1	8	yes	—
1242	#117	C₂³×C₁₃	1	8	yes	—
1243	#117	C₂³×C₁₃	1	8	yes	—
1244	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1245	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1246	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1247	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1248	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1249	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1250	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1251	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1252	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1253	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1254	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1255	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1256	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1257	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1258	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1259	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1260	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1261	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1262	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1263	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1264	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1265	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1266	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1267	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1268	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1269	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1270	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
1271	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1272	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1273	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1274	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1275	C₂×C₄²	C₂³×C₁₃	1	8	yes	—
1276	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1277	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1278	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1279	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1280	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1281	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1282	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1283	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1284	C₂×C₁₃	—	2	2	no	—
1285	C₂×C₁₃	—	2	2	no	—
1286	C₂×C₁₃	—	4	4	no	—
1287	C₂×C₁₃	—	4	1	no	—
1288	C₂×C₁₃	—	4	4	no	—
1289	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1290	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1291	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1292	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1293	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1294	#41	—	2	8	no	—
1295	#41	—	4	4	no	—
1296	#41	—	4	4	no	—
1297	#41	—	4	16	no	—
1298	#41	—	4	8	no	—
1299	C₂×Q₈	—	4	4	no	—
1300	C₂×Q₈	—	4	2	no	—
1301	C₂×Q₈	—	4	4	no	—
1302	C₂×Q₈	—	4	8	no	—
1303	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1304	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1305	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1306	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1307	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1308	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1309	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1310	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1311	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1312	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1313	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1314	C₂×D₄	—	4	2	no	—
1315	C₂×D₄	—	4	4	no	—
1316	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1317	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1318	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1319	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1320	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1321	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1322	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1323	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1324	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1325	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1326	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1327	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1328	C₂²×C₄	—	2	4	no	—
1329	C₂²×C₄	—	2	8	no	—
1330	C₂²×C₄	—	4	2	no	—
1331	C₂²×C₄	—	4	2	no	—
1332	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1333	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1334	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1335	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1336	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1337	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1338	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1339	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1340	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1341	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1342	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1343	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1344	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1345	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1346	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1347	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1348	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1349	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1350	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1351	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1352	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1353	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1354	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1355	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1356	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1357	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1358	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1359	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1360	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1361	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1362	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1363	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1364	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1365	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1366	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1367	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1368	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1369	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1370	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1371	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1372	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1373	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1374	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1375	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1376	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1377	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1378	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1379	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1380	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1381	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1382	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1383	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1384	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1385	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1386	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1387	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1388	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1389	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1390	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1391	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1392	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1393	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1394	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1395	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1396	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1397	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1398	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1399	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1400	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1401	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1402	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1403	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1404	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1405	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1406	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1407	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1408	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1409	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1410	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1411	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1412	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1413	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1414	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1415	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1416	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1417	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1418	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1419	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1420	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1421	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1422	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1423	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1424	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1425	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1426	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1427	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1428	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1429	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1430	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1431	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1432	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1433	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1434	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1435	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1436	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1437	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1438	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1439	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1440	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1441	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1442	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1443	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1444	C₄²	C₂⁴×C₁₃	1	4	yes	—
1445	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1446	C₄²	C₂⁴×C₁₃	1	8	yes	—
1447	C₄²	C₂⁴×C₁₃	1	4	yes	—
1448	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1449	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1450	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1451	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1452	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1453	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1454	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1455	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1456	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1457	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1458	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1459	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1460	C₄²	C₂⁴×C₁₃	1	8	yes	—
1461	C₄²	C₂⁴×C₁₃	1	4	yes	—
1462	C₄²	C₂⁴×C₁₃	1	8	yes	—
1463	C₄²	C₂⁴×C₁₃	1	4	yes	—
1464	C₄²	C₂⁴×C₁₃	1	4	yes	—
1465	C₄²	C₂⁴×C₁₃	1	8	yes	—
1466	C₄²	C₂⁴×C₁₃	1	8	yes	—
1467	C₄²	C₂⁴×C₁₃	1	8	yes	—
1468	C₁₃	#62752	1	1	yes	characteristic, direct product factor, Sylow
1469	C₂³	—	2	2	no	—
1470	C₂³	—	2	2	no	—
1471	C₂³	—	2	4	no	—
1472	C₂³	—	4	1	no	—
1473	C₂³	—	4	2	no	—
1474	C₂³	—	4	2	no	—
1475	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1476	C₂³	C₂⁵×C₁₃	1	4	yes	—
1477	C₂³	C₂⁵×C₁₃	1	4	yes	—
1478	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1479	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1480	Q₈	—	2	4	no	—
1481	Q₈	—	2	4	no	—
1482	Q₈	—	2	8	no	—
1483	Q₈	—	4	2	no	—
1484	Q₈	—	4	4	no	—
1485	Q₈	—	4	4	no	—
1486	Q₈	—	4	8	no	—
1487	Q₈	—	4	4	no	—
1488	Q₈	—	4	2	no	—
1489	Q₈	—	4	2	no	—
1490	Q₈	—	4	8	no	—
1491	D₄	—	2	8	no	—
1492	D₄	—	2	8	no	—
1493	D₄	—	2	8	no	—
1494	D₄	—	2	4	no	—
1495	D₄	—	2	4	no	—
1496	D₄	—	4	2	no	—
1497	D₄	—	4	4	no	—
1498	D₄	—	4	2	no	—
1499	D₄	—	4	2	no	—
1500	D₄	—	4	4	no	—
1501	D₄	—	4	8	no	—
1502	D₄	—	4	8	no	—
1503	C₂×C₄	—	2	2	no	—
1504	C₂×C₄	—	2	4	no	—
1505	C₂×C₄	—	2	2	no	—
1506	C₂×C₄	—	2	2	no	—
1507	C₂×C₄	—	2	8	no	—
1508	C₂×C₄	—	2	2	no	—
1509	C₂×C₄	—	2	2	no	—
1510	C₂×C₄	—	2	8	no	—
1511	C₂×C₄	—	2	2	no	—
1512	C₂×C₄	—	2	2	no	—
1513	C₂×C₄	—	2	8	no	—
1514	C₂×C₄	—	2	8	no	—
1515	C₂×C₄	—	2	2	no	—
1516	C₂×C₄	—	2	2	no	—
1517	C₂×C₄	—	2	2	no	—
1518	C₂×C₄	—	2	8	no	—
1519	C₂×C₄	—	4	1	no	—
1520	C₂×C₄	—	4	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	1	no	—
1525	C₂×C₄	—	4	1	no	—
1526	C₂×C₄	—	4	2	no	—
1527	C₂×C₄	—	4	4	no	—
1528	C₂×C₄	—	4	8	no	—
1529	C₂×C₄	—	4	2	no	—
1530	C₂×C₄	—	4	4	no	—
1531	C₂×C₄	—	4	8	no	—
1532	C₂×C₄	—	4	8	no	—
1533	C₂×C₄	—	4	8	no	—
1534	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1535	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1536	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1537	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1538	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1539	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1540	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1541	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1542	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1543	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1544	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1545	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1546	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1547	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1548	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1549	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1550	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1551	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1552	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1553	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1554	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1555	C₂²	—	2	1	no	—
1556	C₂²	—	2	1	no	—
1557	C₂²	—	2	1	no	—
1558	C₂²	—	2	1	no	—
1559	C₂²	—	2	1	no	—
1560	C₂²	—	2	4	no	—
1561	C₂²	—	2	4	no	—
1562	C₂²	—	2	4	no	—
1563	C₂²	—	2	1	no	—
1564	C₂²	—	2	4	no	—
1565	C₂²	—	2	4	no	—
1566	C₂²	—	2	4	no	—
1567	C₂²	—	2	1	no	—
1568	C₂²	—	4	4	no	—
1569	C₂²	—	8	4	no	—
1570	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1571	C₂²	C₁₃×#585	1	2	yes	—
1572	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1573	C₄	—	2	1	no	—
1574	C₄	—	2	1	no	—
1575	C₄	—	2	4	no	—
1576	C₄	—	2	4	no	—
1577	C₄	—	2	1	no	—
1578	C₄	—	2	1	no	—
1579	C₄	—	2	1	no	—
1580	C₄	—	2	1	no	—
1581	C₄	—	2	8	no	—
1582	C₄	—	2	4	no	—
1583	C₄	—	2	1	no	—
1584	C₄	—	2	1	no	—
1585	C₄	—	2	1	no	—
1586	C₄	—	2	4	no	—
1587	C₄	—	2	4	no	—
1588	C₄	—	2	8	no	—
1589	C₄	—	2	4	no	—
1590	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1591	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1592	C₄	C₁₃×#585	1	2	yes	—
1593	C₂	—	2	2	no	—
1594	C₂	—	2	2	no	—
1595	C₂	—	4	1	no	—
1596	C₂	—	4	4	no	—
1597	C₂	—	4	4	no	—
1598	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1599	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1600	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×#3565	C₂	semidirect
2. C₁₃×#3564	C₂	semidirect
3. C₁₃×#3563	C₂	semidirect
4. C₁₃×#3563	C₂	semidirect
5. C₁₃×#3561	C₂	semidirect
6. C₁₃×#3559	C₂	semidirect
7. C₁₃×#3555	C₂	semidirect
8. C₁₃×#3552	C₂	semidirect
9. C₁₃×#3547	C₂	semidirect
10. C₁₃×#3544	C₂	semidirect
11. C₁₃×#3538	C₂	semidirect
12. C₁₃×#3536	C₂	semidirect
13. C₁₃×#3535	C₂	semidirect
14. C₁₃×#3531	C₂	semidirect
15. C₁₃×#3482	C₂	semidirect
16. Q₈×C₁₃×#41	C₂	semidirect
17. C₁₃×#3475	C₂	semidirect
18. C₁₃×#3475	C₂	semidirect
19. C₁₃×#3461	C₂	semidirect
20. C₁₃×#3461	C₂	semidirect
21. C₁₃×#3458	C₂	semidirect
22. C₁₃×#3455	C₂	semidirect
23. C₁₃×#3444	C₂	semidirect
24. C₂×C₁₃×#533	C₂	semidirect
25. C₂×C₁₃×#529	C₂	semidirect
26. C₁₃×#564	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#563	C₂²	semidirect
29. C₁₃×#563	C₂²	semidirect
30. C₁₃×#563	C₂²	semidirect
31. C₁₃×#563	C₂²	semidirect
32. C₁₃×#563	C₂²	semidirect
34. C₁₃×#562	C₂²	semidirect
35. C₁₃×#562	C₂²	semidirect
36. Q₈²×C₁₃	C₂²	semidirect
37. C₁₃×#557	C₂²	semidirect
38. C₁₃×#557	C₂²	semidirect
39. C₁₃×#557	C₂²	semidirect
40. C₁₃×#556	C₂²	semidirect
41. C₁₃×#556	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
43. C₁₃×#556	C₂²	semidirect
44. C₁₃×#555	C₂²	semidirect
45. C₁₃×#555	C₂²	semidirect
48. C₁₃×#554	C₂²	semidirect
49. C₁₃×#554	C₂²	semidirect
50. C₁₃×#554	C₂²	semidirect
51. C₁₃×#554	C₂²	semidirect
52. C₁₃×#553	C₂²	semidirect
53. C₁₃×#553	C₂²	semidirect
54. C₁₃×#553	C₂²	semidirect
57. C₁₃×#552	C₂²	semidirect
58. C₁₃×#552	C₂²	semidirect
59. C₁₃×#552	C₂²	semidirect
60. C₁₃×#552	C₂²	semidirect
61. C₁₃×#552	C₂²	semidirect
62. C₁₃×#552	C₂²	semidirect
63. C₁₃×#552	C₂²	semidirect
68. D₄×Q₈×C₁₃	C₂²	semidirect
69. D₄×Q₈×C₁₃	C₂²	semidirect
71. C₁₃×#548	C₂²	semidirect
73. C₁₃×#547	C₂²	semidirect
74. C₁₃×#547	C₂²	semidirect
75. C₁₃×#547	C₂²	semidirect
80. C₁₃×#544	C₂²	semidirect
81. C₁₃×#544	C₂²	semidirect
82. C₁₃×#544	C₂²	semidirect
83. C₁₃×#544	C₂²	semidirect
84. C₁₃×#544	C₂²	semidirect
85. C₁₃×#544	C₂²	semidirect
89. C₁₃×#542	C₂²	semidirect
90. C₁₃×#542	C₂²	semidirect
91. C₁₃×#542	C₂²	semidirect
92. C₁₃×#542	C₂²	semidirect
93. C₁₃×#542	C₂²	semidirect
94. C₁₃×#542	C₂²	semidirect
95. C₁₃×#541	C₂²	semidirect
96. C₁₃×#541	C₂²	semidirect
97. C₁₃×#541	C₂²	semidirect
98. C₁₃×#541	C₂²	semidirect
99. C₁₃×#541	C₂²	semidirect
100. C₁₃×#541	C₂²	semidirect
101. C₁₃×#540	C₂²	semidirect
105. C₁₃×#539	C₂²	semidirect
106. C₁₃×#539	C₂²	semidirect
107. C₁₃×#539	C₂²	semidirect
108. C₁₃×#539	C₂²	semidirect
113. C₁₃×#536	C₂²	semidirect
114. C₁₃×#536	C₂²	semidirect
115. C₁₃×#536	C₂²	semidirect
122. C₁₃×#533	C₂²	semidirect
123. C₁₃×#533	C₂²	semidirect
124. C₁₃×#533	C₂²	semidirect
125. C₁₃×#533	C₂²	semidirect
126. C₁₃×#533	C₂²	semidirect
127. C₁₃×#533	C₂²	semidirect
128. C₁₃×#533	C₂²	semidirect
129. C₁₃×#533	C₂²	semidirect
130. C₁₃×#533	C₂²	semidirect
131. C₁₃×#533	C₂²	semidirect
133. C₁₃×#532	C₂²	semidirect
134. C₁₃×#532	C₂²	semidirect
135. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
136. C₂×C₁₃×C₄⋊Q₈	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. C₁₃×#529	C₂²	semidirect
156. C₁₃×#529	C₂²	semidirect
157. C₁₃×#529	C₂²	semidirect
160. C₂×C₁₃×#125	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
178. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
179. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
180. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
492. #62752	C₁₃	direct (N × H)
669. #3565	C₂×C₁₃	semidirect
670. #3564	C₂×C₁₃	semidirect
671. #3563	C₂×C₁₃	semidirect
672. #3563	C₂×C₁₃	semidirect
673. #3561	C₂×C₁₃	semidirect
674. #3559	C₂×C₁₃	semidirect
675. #3555	C₂×C₁₃	semidirect
676. #3552	C₂×C₁₃	semidirect
677. #3547	C₂×C₁₃	semidirect
678. #3544	C₂×C₁₃	semidirect
679. #3538	C₂×C₁₃	semidirect
680. #3536	C₂×C₁₃	semidirect
681. #3535	C₂×C₁₃	semidirect
682. #3531	C₂×C₁₃	semidirect
683. #3482	C₂×C₁₃	semidirect
684. Q₈×#41	C₂×C₁₃	semidirect
685. #3475	C₂×C₁₃	semidirect
686. #3475	C₂×C₁₃	semidirect
687. #3461	C₂×C₁₃	semidirect
688. #3461	C₂×C₁₃	semidirect
689. #3458	C₂×C₁₃	semidirect
690. #3455	C₂×C₁₃	semidirect
691. #3444	C₂×C₁₃	semidirect
692. C₂×#533	C₂×C₁₃	semidirect
693. C₂×#529	C₂×C₁₃	semidirect
780. #564	C₂²×C₁₃	semidirect
781. #563	C₂²×C₁₃	semidirect
782. #563	C₂²×C₁₃	semidirect
783. #563	C₂²×C₁₃	semidirect
784. #563	C₂²×C₁₃	semidirect
785. #563	C₂²×C₁₃	semidirect
786. #563	C₂²×C₁₃	semidirect
788. #562	C₂²×C₁₃	semidirect
789. #562	C₂²×C₁₃	semidirect
790. Q₈²	C₂²×C₁₃	semidirect
791. #557	C₂²×C₁₃	semidirect
792. #557	C₂²×C₁₃	semidirect
793. #557	C₂²×C₁₃	semidirect
794. #556	C₂²×C₁₃	semidirect
795. #556	C₂²×C₁₃	semidirect
796. #556	C₂²×C₁₃	semidirect
797. #556	C₂²×C₁₃	semidirect
798. #555	C₂²×C₁₃	semidirect
799. #555	C₂²×C₁₃	semidirect
802. #554	C₂²×C₁₃	semidirect
803. #554	C₂²×C₁₃	semidirect
804. #554	C₂²×C₁₃	semidirect
805. #554	C₂²×C₁₃	semidirect
806. #553	C₂²×C₁₃	semidirect
807. #553	C₂²×C₁₃	semidirect
808. #553	C₂²×C₁₃	semidirect
811. #552	C₂²×C₁₃	semidirect
812. #552	C₂²×C₁₃	semidirect
813. #552	C₂²×C₁₃	semidirect
814. #552	C₂²×C₁₃	semidirect
815. #552	C₂²×C₁₃	semidirect
816. #552	C₂²×C₁₃	semidirect
817. #552	C₂²×C₁₃	semidirect
822. D₄×Q₈	C₂²×C₁₃	semidirect
823. D₄×Q₈	C₂²×C₁₃	semidirect
825. #548	C₂²×C₁₃	semidirect
827. #547	C₂²×C₁₃	semidirect
828. #547	C₂²×C₁₃	semidirect
829. #547	C₂²×C₁₃	semidirect
834. #544	C₂²×C₁₃	semidirect
835. #544	C₂²×C₁₃	semidirect
836. #544	C₂²×C₁₃	semidirect
837. #544	C₂²×C₁₃	semidirect
838. #544	C₂²×C₁₃	semidirect
839. #544	C₂²×C₁₃	semidirect
843. #542	C₂²×C₁₃	semidirect
844. #542	C₂²×C₁₃	semidirect
845. #542	C₂²×C₁₃	semidirect
846. #542	C₂²×C₁₃	semidirect
847. #542	C₂²×C₁₃	semidirect
848. #542	C₂²×C₁₃	semidirect
849. #541	C₂²×C₁₃	semidirect
850. #541	C₂²×C₁₃	semidirect
851. #541	C₂²×C₁₃	semidirect
852. #541	C₂²×C₁₃	semidirect
853. #541	C₂²×C₁₃	semidirect
854. #541	C₂²×C₁₃	semidirect
855. #540	C₂²×C₁₃	semidirect
859. #539	C₂²×C₁₃	semidirect
860. #539	C₂²×C₁₃	semidirect
861. #539	C₂²×C₁₃	semidirect
862. #539	C₂²×C₁₃	semidirect
867. #536	C₂²×C₁₃	semidirect
868. #536	C₂²×C₁₃	semidirect
869. #536	C₂²×C₁₃	semidirect
876. #533	C₂²×C₁₃	semidirect
877. #533	C₂²×C₁₃	semidirect
878. #533	C₂²×C₁₃	semidirect
879. #533	C₂²×C₁₃	semidirect
880. #533	C₂²×C₁₃	semidirect
881. #533	C₂²×C₁₃	semidirect
882. #533	C₂²×C₁₃	semidirect
883. #533	C₂²×C₁₃	semidirect
884. #533	C₂²×C₁₃	semidirect
885. #533	C₂²×C₁₃	semidirect
887. #532	C₂²×C₁₃	semidirect
888. #532	C₂²×C₁₃	semidirect
889. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
890. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
901. #529	C₂²×C₁₃	semidirect
902. #529	C₂²×C₁₃	semidirect
903. #529	C₂²×C₁₃	semidirect
904. #529	C₂²×C₁₃	semidirect
905. #529	C₂²×C₁₃	semidirect
906. #529	C₂²×C₁₃	semidirect
907. #529	C₂²×C₁₃	semidirect
908. #529	C₂²×C₁₃	semidirect
909. #529	C₂²×C₁₃	semidirect
910. #529	C₂²×C₁₃	semidirect
911. #529	C₂²×C₁₃	semidirect
914. C₂×#125	C₂²×C₁₃	semidirect
927. C₄×#41	C₂²×C₁₃	semidirect
928. C₄×#41	C₂²×C₁₃	semidirect
929. C₄×#41	C₂²×C₁₃	semidirect
930. C₄×#41	C₂²×C₁₃	semidirect
932. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
933. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
934. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1468. C₁₃	#62752	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3565	2
C₁₃×#3564	2
C₁₃×#3563	2
C₁₃×#3561	2
C₁₃×#3559	2
C₁₃×#3555	2
C₁₃×#3552	2
C₁₃×#3547	2
C₁₃×#3544	2
C₁₃×#3538	2
C₁₃×#3536	2
C₁₃×#3535	2
C₁₃×#3531	2
C₁₃×#3482	2
Q₈×C₁₃×#41	2
C₁₃×#3475	2
C₁₃×#3461	2
C₁₃×#3458	2
C₁₃×#3455	2
C₁₃×#3444	2
C₂×C₁₃×#533	2
C₂×C₁₃×#529	2
#62752	13

Subgroups — C13×#62752 #15749091

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62752 #15749091