Subgroups — C₁₃×#62879 #15749218

Order 3328.

6398 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3564	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3561	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3557	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3555	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3554	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3550	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3544	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3538	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3535	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3510	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3503	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3502	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3494	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3455	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#563	C₂²	1	8	yes	complemented
25	C₁₃×#563	C₂²	1	8	yes	complemented
26	C₁₃×#563	C₂²	1	8	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×#562	C₂²	1	8	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×#559	C₂²	1	4	yes	complemented
33	C₁₃×#559	C₂²	1	4	yes	complemented
34	C₁₃×#559	C₂²	1	2	yes	complemented
35	C₁₃×#559	C₂²	1	4	yes	complemented
36	Q₈²×C₁₃	C₂²	1	2	yes	complemented
37	Q₈²×C₁₃	C₂²	1	2	yes	complemented
38	Q₈²×C₁₃	C₂²	1	4	yes	complemented
39	C₁₃×#557	C₂²	1	4	yes	complemented
40	C₁₃×#557	C₂²	1	4	yes	complemented
41	C₁₃×#557	C₂²	1	2	yes	complemented
42	C₁₃×#557	C₂²	1	4	yes	complemented
43	C₁₃×#557	C₂²	1	2	yes	complemented
44	C₁₃×#557	C₂²	1	2	yes	complemented
45	C₁₃×#556	C₂²	1	4	yes	complemented
46	C₁₃×#556	C₂²	1	4	yes	complemented
47	C₁₃×#556	C₂²	1	8	yes	complemented
48	C₁₃×#556	C₂²	1	4	yes	complemented
49	C₁₃×#556	C₂²	1	2	yes	complemented
50	C₁₃×#556	C₂²	1	4	yes	complemented
51	C₁₃×#556	C₂²	1	8	yes	complemented
52	C₁₃×#556	C₂²	1	2	yes	complemented
53	C₁₃×#555	C₂²	1	4	yes	—
54	C₁₃×#555	C₂²	1	2	yes	complemented
55	C₁₃×#554	C₂²	1	8	yes	—
56	C₁₃×#554	C₂²	1	4	yes	complemented
57	C₁₃×#554	C₂²	1	4	yes	complemented
58	C₁₃×#554	C₂²	1	2	yes	complemented
59	C₁₃×#554	C₂²	1	4	yes	complemented
60	C₁₃×#554	C₂²	1	4	yes	complemented
61	C₁₃×#554	C₂²	1	2	yes	complemented
62	C₁₃×#554	C₂²	1	2	yes	complemented
63	C₁₃×#553	C₂²	1	4	yes	—
64	C₁₃×#553	C₂²	1	4	yes	—
65	C₁₃×#553	C₂²	1	4	yes	complemented
66	C₁₃×#552	C₂²	1	8	yes	—
67	C₁₃×#552	C₂²	1	8	yes	complemented
68	C₁₃×#552	C₂²	1	8	yes	complemented
69	C₁₃×#552	C₂²	1	8	yes	complemented
70	C₁₃×#552	C₂²	1	4	yes	complemented
71	C₁₃×#552	C₂²	1	4	yes	complemented
72	C₁₃×#552	C₂²	1	4	yes	complemented
73	C₁₃×#551	C₂²	1	8	yes	—
74	C₁₃×#551	C₂²	1	8	yes	—
75	C₁₃×#551	C₂²	1	8	yes	—
76	C₁₃×#551	C₂²	1	8	yes	—
77	C₁₃×#550	C₂²	1	2	yes	complemented
78	D₄×Q₈×C₁₃	C₂²	1	8	yes	—
79	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
80	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
81	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
82	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
83	C₁₃×#548	C₂²	1	8	yes	complemented
84	C₁₃×#547	C₂²	1	4	yes	—
85	C₁₃×#547	C₂²	1	8	yes	complemented
86	C₁₃×#547	C₂²	1	2	yes	complemented
87	C₁₃×#546	C₂²	1	8	yes	—
88	C₁₃×#544	C₂²	1	4	yes	—
89	C₁₃×#544	C₂²	1	2	yes	—
90	C₁₃×#544	C₂²	1	2	yes	—
91	C₁₃×#544	C₂²	1	2	yes	—
92	C₁₃×#544	C₂²	1	2	yes	—
93	C₁₃×#544	C₂²	1	8	yes	complemented
94	C₁₃×#544	C₂²	1	2	yes	complemented
95	C₁₃×#544	C₂²	1	4	yes	complemented
96	C₁₃×#544	C₂²	1	2	yes	complemented
97	C₁₃×#544	C₂²	1	4	yes	complemented
98	C₁₃×#544	C₂²	1	2	yes	complemented
99	C₁₃×#544	C₂²	1	2	yes	complemented
100	C₁₃×#543	C₂²	1	2	yes	—
101	C₁₃×#543	C₂²	1	2	yes	—
102	C₁₃×#543	C₂²	1	4	yes	—
103	C₁₃×#542	C₂²	1	4	yes	—
104	C₁₃×#542	C₂²	1	4	yes	—
105	C₁₃×#542	C₂²	1	4	yes	—
106	C₁₃×#542	C₂²	1	4	yes	—
107	C₁₃×#542	C₂²	1	4	yes	—
108	C₁₃×#542	C₂²	1	8	yes	complemented
109	C₁₃×#542	C₂²	1	4	yes	complemented
110	C₁₃×#542	C₂²	1	8	yes	complemented
111	C₁₃×#542	C₂²	1	2	yes	complemented
112	C₁₃×#542	C₂²	1	4	yes	complemented
113	C₁₃×#542	C₂²	1	8	yes	complemented
114	C₁₃×#542	C₂²	1	8	yes	complemented
115	C₁₃×#542	C₂²	1	2	yes	complemented
116	C₁₃×#542	C₂²	1	8	yes	complemented
117	C₁₃×#542	C₂²	1	4	yes	complemented
118	C₁₃×#541	C₂²	1	8	yes	complemented
119	C₁₃×#541	C₂²	1	8	yes	complemented
120	C₁₃×#541	C₂²	1	2	yes	complemented
121	C₁₃×#541	C₂²	1	4	yes	complemented
122	C₁₃×#541	C₂²	1	8	yes	complemented
123	C₁₃×#540	C₂²	1	4	yes	—
124	C₁₃×#540	C₂²	1	2	yes	complemented
125	C₁₃×#539	C₂²	1	4	yes	—
126	C₁₃×#539	C₂²	1	2	yes	—
127	C₁₃×#539	C₂²	1	2	yes	—
128	C₁₃×#539	C₂²	1	8	yes	complemented
129	C₁₃×#539	C₂²	1	8	yes	complemented
130	C₁₃×#539	C₂²	1	8	yes	complemented
131	C₁₃×#539	C₂²	1	8	yes	complemented
132	C₁₃×#538	C₂²	1	2	yes	—
133	C₁₃×#538	C₂²	1	2	yes	—
134	C₁₃×#538	C₂²	1	4	yes	—
135	C₁₃×#536	C₂²	1	2	yes	—
136	C₁₃×#536	C₂²	1	8	yes	complemented
137	C₁₃×#536	C₂²	1	8	yes	complemented
138	C₁₃×#536	C₂²	1	8	yes	complemented
139	C₁₃×#535	C₂²	1	2	yes	—
140	C₁₃×#533	C₂²	1	4	yes	—
141	C₁₃×#533	C₂²	1	1	yes	characteristic
142	C₁₃×#533	C₂²	1	1	yes	characteristic
143	C₁₃×#533	C₂²	1	1	yes	characteristic
144	C₁₃×#533	C₂²	1	2	yes	—
145	C₁₃×#533	C₂²	1	4	yes	complemented
146	C₁₃×#533	C₂²	1	4	yes	complemented
147	C₁₃×#533	C₂²	1	4	yes	complemented
148	C₁₃×#533	C₂²	1	4	yes	complemented
149	C₁₃×#532	C₂²	1	4	yes	—
150	C₁₃×#532	C₂²	1	1	yes	characteristic
151	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
152	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
153	C₁₃×#529	C₂²	1	4	yes	—
154	C₁₃×#529	C₂²	1	4	yes	—
155	C₁₃×#529	C₂²	1	4	yes	complemented
156	C₁₃×#529	C₂²	1	4	yes	complemented
157	C₁₃×#529	C₂²	1	4	yes	complemented
158	C₁₃×#529	C₂²	1	4	yes	complemented
159	C₁₃×#529	C₂²	1	4	yes	complemented
160	C₂×C₁₃×#126	C₂²	1	2	yes	—
161	C₂×C₁₃×#124	C₂²	1	2	yes	—
162	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
163	C₁₃×#525	C₂²	1	4	yes	—
164	C₁₃×#525	C₂²	1	2	yes	—
165	C₂×C₁₃×#123	C₂²	1	2	yes	—
166	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
167	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
168	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
169	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
170	C₁₃×#520	C₂²	1	2	yes	—
171	C₁₃×#520	C₂²	1	2	yes	—
172	C₁₃×#519	C₂²	1	2	yes	—
173	C₁₃×#518	C₂²	1	2	yes	—
174	C₄×C₁₃×#41	C₂²	1	2	yes	—
175	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
176	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
177	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
178	C₂×C₁₃×#117	C₂²	1	2	yes	—
179	C₂×C₁₃×#41	C₂³	1	2	yes	—
180	C₂×C₁₃×#41	C₂³	1	4	yes	—
181	C₂×C₁₃×#41	C₂³	1	8	yes	—
182	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
183	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
184	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
185	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
186	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
187	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
188	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
190	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
191	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
192	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
193	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
194	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
195	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
196	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
197	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
198	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
199	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
201	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
202	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
203	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
204	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
205	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
206	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
207	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
208	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
209	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
210	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
211	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
212	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
213	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
214	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
215	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
216	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
217	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
218	C₁₃×#127	C₂³	1	4	yes	—
219	C₁₃×#127	C₂³	1	1	yes	characteristic
220	C₁₃×#126	C₂³	1	8	yes	—
221	C₁₃×#126	C₂³	1	8	yes	—
222	C₁₃×#126	C₂³	1	8	yes	—
223	C₁₃×#126	C₂³	1	8	yes	—
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	8	yes	—
229	C₁₃×#126	C₂³	1	8	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×#125	C₂³	1	4	yes	—
240	C₁₃×#125	C₂³	1	4	yes	—
241	C₁₃×#125	C₂³	1	2	yes	—
242	C₁₃×#125	C₂³	1	2	yes	—
243	C₁₃×#125	C₂³	1	4	yes	—
244	C₁₃×#125	C₂³	1	4	yes	—
245	C₁₃×#125	C₂³	1	4	yes	—
246	C₁₃×#125	C₂³	1	8	yes	—
247	C₁₃×#125	C₂³	1	2	yes	—
248	C₁₃×#125	C₂³	1	2	yes	—
249	C₁₃×#125	C₂³	1	2	yes	—
250	C₁₃×#125	C₂³	1	4	yes	—
251	C₁₃×#125	C₂³	1	4	yes	—
252	C₁₃×#125	C₂³	1	8	yes	—
253	C₁₃×#125	C₂³	1	4	yes	—
254	C₁₃×#125	C₂³	1	4	yes	—
255	C₁₃×#125	C₂³	1	4	yes	—
256	C₁₃×#125	C₂³	1	4	yes	—
257	C₁₃×#125	C₂³	1	8	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	8	yes	—
262	C₁₃×#125	C₂³	1	8	yes	—
263	C₁₃×#125	C₂³	1	8	yes	—
264	C₁₃×#124	C₂³	1	4	yes	—
265	C₁₃×#124	C₂³	1	8	yes	—
266	C₁₃×#124	C₂³	1	8	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	4	yes	—
271	C₁₃×#124	C₂³	1	4	yes	—
272	C₁₃×#124	C₂³	1	4	yes	—
273	C₁₃×#124	C₂³	1	8	yes	—
274	C₁₃×#124	C₂³	1	2	yes	—
275	C₁₃×#124	C₂³	1	8	yes	—
276	C₁₃×#124	C₂³	1	8	yes	—
277	C₁₃×#124	C₂³	1	8	yes	—
278	C₁₃×#124	C₂³	1	8	yes	—
279	C₁₃×#124	C₂³	1	8	yes	—
280	C₁₃×#123	C₂³	1	8	yes	—
281	C₁₃×#123	C₂³	1	8	yes	—
282	C₁₃×#123	C₂³	1	8	yes	—
283	C₁₃×#123	C₂³	1	4	yes	—
284	C₁₃×#123	C₂³	1	8	yes	—
285	C₁₃×#123	C₂³	1	8	yes	—
286	C₁₃×#123	C₂³	1	4	yes	—
287	C₁₃×#123	C₂³	1	4	yes	—
288	C₁₃×#123	C₂³	1	8	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×C₂²⋊Q₈	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
303	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
305	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
306	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
307	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
308	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
309	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₁₃×C₂²⋊Q₈	C₂³	1	8	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	4	yes	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
316	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
317	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
318	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
319	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
320	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
321	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
322	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
323	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
326	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
329	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
334	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
335	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₁₃×C₂²⋊Q₈	C₂³	1	8	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	8	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	4	yes	—
350	C₁₃×#121	C₂³	1	4	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	4	yes	—
355	C₁₃×#121	C₂³	1	2	yes	—
356	C₁₃×#121	C₂³	1	4	yes	—
357	C₁₃×#121	C₂³	1	4	yes	—
358	C₁₃×#121	C₂³	1	4	yes	—
359	C₁₃×#121	C₂³	1	4	yes	—
360	C₁₃×#121	C₂³	1	8	yes	—
361	C₁₃×#121	C₂³	1	8	yes	—
362	C₁₃×#121	C₂³	1	8	yes	—
363	C₁₃×#121	C₂³	1	8	yes	—
364	C₁₃×#120	C₂³	1	8	yes	—
365	C₁₃×#120	C₂³	1	4	yes	—
366	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
367	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
368	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
369	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
370	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
371	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
372	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
373	C₄×Q₈×C₁₃	C₂³	1	4	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	4	yes	—
379	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
380	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
381	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
382	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
383	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
384	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
385	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
386	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
387	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
388	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
389	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
390	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
391	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
392	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
393	C₄×D₄×C₁₃	C₂³	1	2	yes	—
394	C₄×D₄×C₁₃	C₂³	1	2	yes	—
395	C₄×D₄×C₁₃	C₂³	1	2	yes	—
396	C₄×D₄×C₁₃	C₂³	1	2	yes	—
397	C₄×D₄×C₁₃	C₂³	1	4	yes	—
398	C₄×D₄×C₁₃	C₂³	1	4	yes	—
399	C₄×D₄×C₁₃	C₂³	1	2	yes	—
400	C₄×D₄×C₁₃	C₂³	1	2	yes	—
401	C₄×D₄×C₁₃	C₂³	1	4	yes	—
402	C₄×D₄×C₁₃	C₂³	1	4	yes	—
403	C₄×D₄×C₁₃	C₂³	1	4	yes	—
404	C₄×D₄×C₁₃	C₂³	1	4	yes	—
405	C₄×D₄×C₁₃	C₂³	1	8	yes	—
406	C₄×D₄×C₁₃	C₂³	1	8	yes	—
407	C₄×D₄×C₁₃	C₂³	1	4	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	8	yes	—
412	C₄×D₄×C₁₃	C₂³	1	4	yes	—
413	C₄×D₄×C₁₃	C₂³	1	8	yes	—
414	C₄×D₄×C₁₃	C₂³	1	2	yes	—
415	C₄×D₄×C₁₃	C₂³	1	2	yes	—
416	C₄×D₄×C₁₃	C₂³	1	8	yes	—
417	C₄×D₄×C₁₃	C₂³	1	8	yes	—
418	C₄×D₄×C₁₃	C₂³	1	8	yes	—
419	C₄×D₄×C₁₃	C₂³	1	8	yes	—
420	C₁₃×#117	C₂³	1	2	yes	—
421	C₁₃×#117	C₂³	1	2	yes	—
422	C₁₃×#117	C₂³	1	2	yes	—
423	C₁₃×#117	C₂³	1	2	yes	—
424	C₁₃×#117	C₂³	1	4	yes	—
425	C₁₃×#117	C₂³	1	2	yes	—
426	C₁₃×#117	C₂³	1	2	yes	—
427	C₁₃×#117	C₂³	1	4	yes	—
428	C₁₃×#117	C₂³	1	2	yes	—
429	C₁₃×#117	C₂³	1	2	yes	—
430	C₁₃×#117	C₂³	1	2	yes	—
431	C₁₃×#117	C₂³	1	4	yes	—
432	C₁₃×#117	C₂³	1	8	yes	—
433	C₁₃×#117	C₂³	1	4	yes	—
434	C₁₃×#117	C₂³	1	4	yes	—
435	C₁₃×#117	C₂³	1	4	yes	—
436	C₁₃×#117	C₂³	1	8	yes	—
437	C₁₃×#117	C₂³	1	8	yes	—
438	C₁₃×#117	C₂³	1	8	yes	—
439	C₁₃×#117	C₂³	1	8	yes	—
440	C₁₃×#117	C₂³	1	8	yes	—
441	C₁₃×#117	C₂³	1	8	yes	—
442	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
443	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
444	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
445	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
446	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
447	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
448	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
449	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
450	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
451	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
452	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
453	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
454	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
455	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
456	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
458	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
459	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
460	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
461	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
462	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
463	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
464	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
465	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
466	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
467	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
468	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
469	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
470	#62879	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
471	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
472	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
473	C₁₃×#41	—	2	8	no	—
474	C₁₃×#41	—	8	4	no	—
475	C₁₃×#41	—	8	8	no	—
476	C₂×Q₈×C₁₃	—	2	4	no	—
477	C₂×Q₈×C₁₃	—	8	2	no	—
478	C₂×Q₈×C₁₃	—	8	4	no	—
479	C₂×Q₈×C₁₃	—	8	8	no	—
480	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
481	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
482	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
483	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
484	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
485	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
486	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
487	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
488	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
489	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
490	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
491	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
492	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
493	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
494	C₂×D₄×C₁₃	—	2	4	no	—
495	C₂×D₄×C₁₃	—	8	2	no	—
496	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
497	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
498	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
499	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
500	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
501	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
502	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
503	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
504	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
505	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
506	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
507	C₂²×C₄×C₁₃	—	2	4	no	—
508	C₂²×C₄×C₁₃	—	8	2	no	—
509	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
511	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
514	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
521	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
522	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
523	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
524	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
525	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
526	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
527	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
528	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
529	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
530	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
532	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
533	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
534	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
535	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
536	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
537	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
538	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
539	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
540	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
541	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
542	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
543	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
544	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
545	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
546	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
547	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
548	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
549	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
550	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
551	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
552	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
553	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
554	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
555	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
556	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
557	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
558	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
559	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
560	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
561	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
562	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
563	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
564	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
565	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
566	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
567	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
568	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
569	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
570	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
571	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
572	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
573	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
574	C₁₃×C₄⋊C₄	C₂⁴	1	2	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	8	yes	—
579	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
580	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
581	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
582	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
583	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
584	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
585	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
586	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
587	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
588	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
589	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
590	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
591	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
592	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
594	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
595	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
596	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
597	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
598	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
599	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
600	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
601	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
602	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
603	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
605	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
606	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
607	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
608	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
609	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
610	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
611	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
612	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
613	C₁₃×C₂²⋊C₄	C₂⁴	1	4	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	8	yes	—
618	C₄²×C₁₃	C₂⁴	1	2	yes	—
619	C₄²×C₁₃	C₂⁴	1	4	yes	—
620	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
622	C₄²×C₁₃	C₂⁴	1	4	yes	—
623	C₄²×C₁₃	C₂⁴	1	4	yes	—
624	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
625	C₄²×C₁₃	C₂⁴	1	2	yes	—
626	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
627	C₄²×C₁₃	C₂⁴	1	4	yes	—
628	C₄²×C₁₃	C₂⁴	1	4	yes	—
629	C₄²×C₁₃	C₂⁴	1	4	yes	—
630	C₄²×C₁₃	C₂⁴	1	4	yes	—
631	C₄²×C₁₃	C₂⁴	1	4	yes	—
632	C₄²×C₁₃	C₂⁴	1	4	yes	—
633	C₄²×C₁₃	C₂⁴	1	8	yes	—
634	C₄²×C₁₃	C₂⁴	1	8	yes	—
635	C₄²×C₁₃	C₂⁴	1	8	yes	—
636	C₄²×C₁₃	C₂⁴	1	8	yes	—
637	#3565	C₂×C₁₃	1	4	yes	complemented
638	#3565	C₂×C₁₃	1	4	yes	complemented
639	#3564	C₂×C₁₃	1	4	yes	complemented
640	#3561	C₂×C₁₃	1	4	yes	complemented
641	#3557	C₂×C₁₃	1	4	yes	complemented
642	#3555	C₂×C₁₃	1	4	yes	complemented
643	#3554	C₂×C₁₃	1	4	yes	complemented
644	#3552	C₂×C₁₃	1	4	yes	complemented
645	#3550	C₂×C₁₃	1	4	yes	complemented
646	#3544	C₂×C₁₃	1	4	yes	complemented
647	#3538	C₂×C₁₃	1	4	yes	complemented
648	#3535	C₂×C₁₃	1	4	yes	complemented
649	#3510	C₂×C₁₃	1	2	yes	complemented
650	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
651	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
652	#3503	C₂×C₁₃	1	2	yes	complemented
653	#3502	C₂×C₁₃	1	1	yes	characteristic, complemented
654	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
655	#3495	C₂×C₁₃	1	2	yes	complemented
656	#3494	C₂×C₁₃	1	2	yes	complemented
657	#3458	C₂×C₁₃	1	1	yes	characteristic, complemented
658	#3455	C₂×C₁₃	1	1	yes	characteristic, complemented
659	C₂×#542	C₂×C₁₃	1	1	yes	characteristic, complemented
660	C₂³×C₁₃	—	2	2	no	—
661	C₂³×C₁₃	—	2	4	no	—
662	C₂³×C₁₃	—	4	2	no	—
663	C₂³×C₁₃	—	4	1	no	—
664	C₂³×C₁₃	—	4	1	no	—
665	C₂³×C₁₃	—	4	2	no	—
666	C₂³×C₁₃	C₂⁵	1	2	yes	—
667	C₂³×C₁₃	C₂⁵	1	4	yes	—
668	C₂³×C₁₃	C₂⁵	1	4	yes	—
669	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
670	Q₈×C₁₃	—	2	4	no	—
671	Q₈×C₁₃	—	2	4	no	—
672	Q₈×C₁₃	—	2	4	no	—
673	Q₈×C₁₃	—	4	2	no	—
674	Q₈×C₁₃	—	4	8	no	—
675	Q₈×C₁₃	—	4	8	no	—
676	Q₈×C₁₃	—	4	4	no	—
677	Q₈×C₁₃	—	4	2	no	—
678	Q₈×C₁₃	—	4	8	no	—
679	Q₈×C₁₃	—	4	2	no	—
680	Q₈×C₁₃	—	4	2	no	—
681	Q₈×C₁₃	—	4	4	no	—
682	Q₈×C₁₃	—	4	2	no	—
683	Q₈×C₁₃	—	4	2	no	—
684	D₄×C₁₃	—	2	8	no	—
685	D₄×C₁₃	—	2	4	no	—
686	D₄×C₁₃	—	2	4	no	—
687	D₄×C₁₃	—	2	4	no	—
688	D₄×C₁₃	—	4	8	no	—
689	D₄×C₁₃	—	4	4	no	—
690	D₄×C₁₃	—	4	8	no	—
691	D₄×C₁₃	—	4	2	no	—
692	D₄×C₁₃	—	4	2	no	—
693	D₄×C₁₃	—	4	8	no	—
694	D₄×C₁₃	—	4	4	no	—
695	C₂×C₄×C₁₃	—	2	2	no	—
696	C₂×C₄×C₁₃	—	2	4	no	—
697	C₂×C₄×C₁₃	—	2	4	no	—
698	C₂×C₄×C₁₃	—	2	4	no	—
699	C₂×C₄×C₁₃	—	2	8	no	—
700	C₂×C₄×C₁₃	—	4	1	no	—
701	C₂×C₄×C₁₃	—	4	2	no	—
702	C₂×C₄×C₁₃	—	4	4	no	—
703	C₂×C₄×C₁₃	—	4	4	no	—
704	C₂×C₄×C₁₃	—	4	8	no	—
705	C₂×C₄×C₁₃	—	4	4	no	—
706	C₂×C₄×C₁₃	—	4	1	no	—
707	C₂×C₄×C₁₃	—	4	4	no	—
708	C₂×C₄×C₁₃	—	4	1	no	—
709	C₂×C₄×C₁₃	—	4	2	no	—
710	C₂×C₄×C₁₃	—	4	4	no	—
711	C₂×C₄×C₁₃	—	4	1	no	—
712	C₂×C₄×C₁₃	—	4	8	no	—
713	C₂×C₄×C₁₃	—	4	8	no	—
714	C₂×C₄×C₁₃	—	4	8	no	—
715	C₂×C₄×C₁₃	—	4	4	no	—
716	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
717	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
718	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
719	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
720	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
721	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
722	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
723	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
724	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
725	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
726	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
727	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
728	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
729	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
730	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
731	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
732	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
733	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
734	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
735	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
736	#563	C₂²×C₁₃	1	8	yes	complemented
737	#563	C₂²×C₁₃	1	8	yes	complemented
738	#563	C₂²×C₁₃	1	8	yes	complemented
739	#563	C₂²×C₁₃	1	8	yes	complemented
740	#563	C₂²×C₁₃	1	8	yes	complemented
741	#563	C₂²×C₁₃	1	8	yes	complemented
742	#562	C₂²×C₁₃	1	8	yes	complemented
743	#562	C₂²×C₁₃	1	8	yes	complemented
744	#559	C₂²×C₁₃	1	4	yes	complemented
745	#559	C₂²×C₁₃	1	2	yes	complemented
746	#559	C₂²×C₁₃	1	4	yes	complemented
747	#559	C₂²×C₁₃	1	4	yes	complemented
748	Q₈²	C₂²×C₁₃	1	2	yes	complemented
749	Q₈²	C₂²×C₁₃	1	2	yes	complemented
750	Q₈²	C₂²×C₁₃	1	4	yes	complemented
751	#557	C₂²×C₁₃	1	4	yes	complemented
752	#557	C₂²×C₁₃	1	4	yes	complemented
753	#557	C₂²×C₁₃	1	2	yes	complemented
754	#557	C₂²×C₁₃	1	2	yes	complemented
755	#557	C₂²×C₁₃	1	4	yes	complemented
756	#557	C₂²×C₁₃	1	2	yes	complemented
757	#556	C₂²×C₁₃	1	4	yes	complemented
758	#556	C₂²×C₁₃	1	2	yes	complemented
759	#556	C₂²×C₁₃	1	4	yes	complemented
760	#556	C₂²×C₁₃	1	2	yes	complemented
761	#556	C₂²×C₁₃	1	4	yes	complemented
762	#556	C₂²×C₁₃	1	4	yes	complemented
763	#556	C₂²×C₁₃	1	8	yes	complemented
764	#556	C₂²×C₁₃	1	8	yes	complemented
765	#555	C₂²×C₁₃	1	4	yes	—
766	#555	C₂²×C₁₃	1	2	yes	complemented
767	#554	C₂²×C₁₃	1	8	yes	—
768	#554	C₂²×C₁₃	1	4	yes	complemented
769	#554	C₂²×C₁₃	1	4	yes	complemented
770	#554	C₂²×C₁₃	1	4	yes	complemented
771	#554	C₂²×C₁₃	1	2	yes	complemented
772	#554	C₂²×C₁₃	1	2	yes	complemented
773	#554	C₂²×C₁₃	1	4	yes	complemented
774	#554	C₂²×C₁₃	1	2	yes	complemented
775	#553	C₂²×C₁₃	1	4	yes	—
776	#553	C₂²×C₁₃	1	4	yes	—
777	#553	C₂²×C₁₃	1	4	yes	complemented
778	#552	C₂²×C₁₃	1	8	yes	—
779	#552	C₂²×C₁₃	1	4	yes	complemented
780	#552	C₂²×C₁₃	1	4	yes	complemented
781	#552	C₂²×C₁₃	1	4	yes	complemented
782	#552	C₂²×C₁₃	1	8	yes	complemented
783	#552	C₂²×C₁₃	1	8	yes	complemented
784	#552	C₂²×C₁₃	1	8	yes	complemented
785	#551	C₂²×C₁₃	1	8	yes	—
786	#551	C₂²×C₁₃	1	8	yes	—
787	#551	C₂²×C₁₃	1	8	yes	—
788	#551	C₂²×C₁₃	1	8	yes	—
789	#550	C₂²×C₁₃	1	2	yes	complemented
790	D₄×Q₈	C₂²×C₁₃	1	8	yes	—
791	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
792	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
793	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
794	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
795	#548	C₂²×C₁₃	1	8	yes	complemented
796	#547	C₂²×C₁₃	1	4	yes	—
797	#547	C₂²×C₁₃	1	2	yes	complemented
798	#547	C₂²×C₁₃	1	8	yes	complemented
799	#546	C₂²×C₁₃	1	8	yes	—
800	#544	C₂²×C₁₃	1	2	yes	—
801	#544	C₂²×C₁₃	1	2	yes	—
802	#544	C₂²×C₁₃	1	2	yes	—
803	#544	C₂²×C₁₃	1	2	yes	—
804	#544	C₂²×C₁₃	1	4	yes	—
805	#544	C₂²×C₁₃	1	2	yes	complemented
806	#544	C₂²×C₁₃	1	2	yes	complemented
807	#544	C₂²×C₁₃	1	2	yes	complemented
808	#544	C₂²×C₁₃	1	2	yes	complemented
809	#544	C₂²×C₁₃	1	4	yes	complemented
810	#544	C₂²×C₁₃	1	4	yes	complemented
811	#544	C₂²×C₁₃	1	8	yes	complemented
812	#543	C₂²×C₁₃	1	2	yes	—
813	#543	C₂²×C₁₃	1	2	yes	—
814	#543	C₂²×C₁₃	1	4	yes	—
815	#542	C₂²×C₁₃	1	4	yes	—
816	#542	C₂²×C₁₃	1	4	yes	—
817	#542	C₂²×C₁₃	1	4	yes	—
818	#542	C₂²×C₁₃	1	4	yes	—
819	#542	C₂²×C₁₃	1	4	yes	—
820	#542	C₂²×C₁₃	1	2	yes	complemented
821	#542	C₂²×C₁₃	1	2	yes	complemented
822	#542	C₂²×C₁₃	1	4	yes	complemented
823	#542	C₂²×C₁₃	1	4	yes	complemented
824	#542	C₂²×C₁₃	1	4	yes	complemented
825	#542	C₂²×C₁₃	1	8	yes	complemented
826	#542	C₂²×C₁₃	1	8	yes	complemented
827	#542	C₂²×C₁₃	1	8	yes	complemented
828	#542	C₂²×C₁₃	1	8	yes	complemented
829	#542	C₂²×C₁₃	1	8	yes	complemented
830	#541	C₂²×C₁₃	1	2	yes	complemented
831	#541	C₂²×C₁₃	1	4	yes	complemented
832	#541	C₂²×C₁₃	1	8	yes	complemented
833	#541	C₂²×C₁₃	1	8	yes	complemented
834	#541	C₂²×C₁₃	1	8	yes	complemented
835	#540	C₂²×C₁₃	1	4	yes	—
836	#540	C₂²×C₁₃	1	2	yes	complemented
837	#539	C₂²×C₁₃	1	2	yes	—
838	#539	C₂²×C₁₃	1	2	yes	—
839	#539	C₂²×C₁₃	1	4	yes	—
840	#539	C₂²×C₁₃	1	8	yes	complemented
841	#539	C₂²×C₁₃	1	8	yes	complemented
842	#539	C₂²×C₁₃	1	8	yes	complemented
843	#539	C₂²×C₁₃	1	8	yes	complemented
844	#538	C₂²×C₁₃	1	2	yes	—
845	#538	C₂²×C₁₃	1	2	yes	—
846	#538	C₂²×C₁₃	1	4	yes	—
847	#536	C₂²×C₁₃	1	2	yes	—
848	#536	C₂²×C₁₃	1	8	yes	complemented
849	#536	C₂²×C₁₃	1	8	yes	complemented
850	#536	C₂²×C₁₃	1	8	yes	complemented
851	#535	C₂²×C₁₃	1	2	yes	—
852	#533	C₂²×C₁₃	1	1	yes	characteristic
853	#533	C₂²×C₁₃	1	1	yes	characteristic
854	#533	C₂²×C₁₃	1	1	yes	characteristic
855	#533	C₂²×C₁₃	1	2	yes	—
856	#533	C₂²×C₁₃	1	4	yes	—
857	#533	C₂²×C₁₃	1	4	yes	complemented
858	#533	C₂²×C₁₃	1	4	yes	complemented
859	#533	C₂²×C₁₃	1	4	yes	complemented
860	#533	C₂²×C₁₃	1	4	yes	complemented
861	#532	C₂²×C₁₃	1	1	yes	characteristic
862	#532	C₂²×C₁₃	1	4	yes	—
863	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
864	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
865	#529	C₂²×C₁₃	1	4	yes	—
866	#529	C₂²×C₁₃	1	4	yes	—
867	#529	C₂²×C₁₃	1	4	yes	complemented
868	#529	C₂²×C₁₃	1	4	yes	complemented
869	#529	C₂²×C₁₃	1	4	yes	complemented
870	#529	C₂²×C₁₃	1	4	yes	complemented
871	#529	C₂²×C₁₃	1	4	yes	complemented
872	C₂×#126	C₂²×C₁₃	1	2	yes	—
873	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
874	C₂×#124	C₂²×C₁₃	1	2	yes	—
875	#525	C₂²×C₁₃	1	2	yes	—
876	#525	C₂²×C₁₃	1	4	yes	—
877	C₂×#123	C₂²×C₁₃	1	2	yes	—
878	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
879	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
880	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
881	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
882	#520	C₂²×C₁₃	1	2	yes	—
883	#520	C₂²×C₁₃	1	2	yes	—
884	#519	C₂²×C₁₃	1	2	yes	—
885	#518	C₂²×C₁₃	1	2	yes	—
886	C₄×#41	C₂²×C₁₃	1	2	yes	—
887	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
888	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
889	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
890	C₂×#117	C₂²×C₁₃	1	2	yes	—
891	C₂²×C₁₃	—	2	1	no	—
892	C₂²×C₁₃	—	2	1	no	—
893	C₂²×C₁₃	—	2	2	no	—
894	C₂²×C₁₃	—	2	4	no	—
895	C₂²×C₁₃	—	2	4	no	—
896	C₂²×C₁₃	—	2	4	no	—
897	C₂²×C₁₃	—	2	4	no	—
898	C₂²×C₁₃	—	2	2	no	—
899	C₂²×C₁₃	—	2	2	no	—
900	C₂²×C₁₃	—	2	4	no	—
901	C₂²×C₁₃	—	2	4	no	—
902	C₂²×C₁₃	—	8	2	no	—
903	C₂²×C₁₃	—	8	4	no	—
904	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
905	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
906	C₄×C₁₃	—	2	2	no	—
907	C₄×C₁₃	—	2	4	no	—
908	C₄×C₁₃	—	2	4	no	—
909	C₄×C₁₃	—	2	1	no	—
910	C₄×C₁₃	—	2	1	no	—
911	C₄×C₁₃	—	2	4	no	—
912	C₄×C₁₃	—	2	4	no	—
913	C₄×C₁₃	—	2	4	no	—
914	C₄×C₁₃	—	2	4	no	—
915	C₄×C₁₃	—	2	4	no	—
916	C₄×C₁₃	—	2	2	no	—
917	C₄×C₁₃	—	2	4	no	—
918	C₄×C₁₃	—	2	4	no	—
919	C₄×C₁₃	—	2	2	no	—
920	C₄×C₁₃	—	2	4	no	—
921	C₄×C₁₃	—	2	1	no	—
922	C₄×C₁₃	—	2	1	no	—
923	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
924	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
925	C₂×#41	C₂³×C₁₃	1	2	yes	—
926	C₂×#41	C₂³×C₁₃	1	4	yes	—
927	C₂×#41	C₂³×C₁₃	1	8	yes	—
928	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
929	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
930	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
931	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
932	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
933	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
934	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
935	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
936	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
937	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
938	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
939	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
940	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
941	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
942	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
943	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
944	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
945	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
946	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
947	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
948	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
949	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
950	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
951	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
952	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
953	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
954	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
955	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
956	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
957	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
958	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
959	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
960	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
961	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
962	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
963	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
964	#127	C₂³×C₁₃	1	4	yes	—
965	#127	C₂³×C₁₃	1	1	yes	characteristic
966	#126	C₂³×C₁₃	1	8	yes	—
967	#126	C₂³×C₁₃	1	8	yes	—
968	#126	C₂³×C₁₃	1	8	yes	—
969	#126	C₂³×C₁₃	1	8	yes	—
970	#126	C₂³×C₁₃	1	4	yes	—
971	#126	C₂³×C₁₃	1	4	yes	—
972	#126	C₂³×C₁₃	1	4	yes	—
973	#126	C₂³×C₁₃	1	4	yes	—
974	#126	C₂³×C₁₃	1	8	yes	—
975	#126	C₂³×C₁₃	1	8	yes	—
976	#126	C₂³×C₁₃	1	8	yes	—
977	#126	C₂³×C₁₃	1	8	yes	—
978	#126	C₂³×C₁₃	1	8	yes	—
979	#126	C₂³×C₁₃	1	8	yes	—
980	#126	C₂³×C₁₃	1	8	yes	—
981	#126	C₂³×C₁₃	1	8	yes	—
982	#126	C₂³×C₁₃	1	8	yes	—
983	#126	C₂³×C₁₃	1	8	yes	—
984	#126	C₂³×C₁₃	1	8	yes	—
985	#125	C₂³×C₁₃	1	4	yes	—
986	#125	C₂³×C₁₃	1	4	yes	—
987	#125	C₂³×C₁₃	1	2	yes	—
988	#125	C₂³×C₁₃	1	2	yes	—
989	#125	C₂³×C₁₃	1	4	yes	—
990	#125	C₂³×C₁₃	1	4	yes	—
991	#125	C₂³×C₁₃	1	4	yes	—
992	#125	C₂³×C₁₃	1	8	yes	—
993	#125	C₂³×C₁₃	1	2	yes	—
994	#125	C₂³×C₁₃	1	2	yes	—
995	#125	C₂³×C₁₃	1	2	yes	—
996	#125	C₂³×C₁₃	1	4	yes	—
997	#125	C₂³×C₁₃	1	4	yes	—
998	#125	C₂³×C₁₃	1	8	yes	—
999	#125	C₂³×C₁₃	1	4	yes	—
1000	#125	C₂³×C₁₃	1	4	yes	—
1001	#125	C₂³×C₁₃	1	4	yes	—
1002	#125	C₂³×C₁₃	1	4	yes	—
1003	#125	C₂³×C₁₃	1	8	yes	—
1004	#125	C₂³×C₁₃	1	8	yes	—
1005	#125	C₂³×C₁₃	1	8	yes	—
1006	#125	C₂³×C₁₃	1	8	yes	—
1007	#125	C₂³×C₁₃	1	8	yes	—
1008	#125	C₂³×C₁₃	1	8	yes	—
1009	#125	C₂³×C₁₃	1	8	yes	—
1010	#124	C₂³×C₁₃	1	4	yes	—
1011	#124	C₂³×C₁₃	1	8	yes	—
1012	#124	C₂³×C₁₃	1	8	yes	—
1013	#124	C₂³×C₁₃	1	4	yes	—
1014	#124	C₂³×C₁₃	1	4	yes	—
1015	#124	C₂³×C₁₃	1	4	yes	—
1016	#124	C₂³×C₁₃	1	4	yes	—
1017	#124	C₂³×C₁₃	1	4	yes	—
1018	#124	C₂³×C₁₃	1	4	yes	—
1019	#124	C₂³×C₁₃	1	8	yes	—
1020	#124	C₂³×C₁₃	1	2	yes	—
1021	#124	C₂³×C₁₃	1	8	yes	—
1022	#124	C₂³×C₁₃	1	8	yes	—
1023	#124	C₂³×C₁₃	1	8	yes	—
1024	#124	C₂³×C₁₃	1	8	yes	—
1025	#124	C₂³×C₁₃	1	8	yes	—
1026	#123	C₂³×C₁₃	1	8	yes	—
1027	#123	C₂³×C₁₃	1	8	yes	—
1028	#123	C₂³×C₁₃	1	8	yes	—
1029	#123	C₂³×C₁₃	1	4	yes	—
1030	#123	C₂³×C₁₃	1	8	yes	—
1031	#123	C₂³×C₁₃	1	8	yes	—
1032	#123	C₂³×C₁₃	1	4	yes	—
1033	#123	C₂³×C₁₃	1	4	yes	—
1034	#123	C₂³×C₁₃	1	8	yes	—
1035	#123	C₂³×C₁₃	1	4	yes	—
1036	#123	C₂³×C₁₃	1	4	yes	—
1037	#123	C₂³×C₁₃	1	8	yes	—
1038	#123	C₂³×C₁₃	1	8	yes	—
1039	#123	C₂³×C₁₃	1	8	yes	—
1040	#123	C₂³×C₁₃	1	8	yes	—
1041	#123	C₂³×C₁₃	1	8	yes	—
1042	#123	C₂³×C₁₃	1	8	yes	—
1043	#123	C₂³×C₁₃	1	8	yes	—
1044	#123	C₂³×C₁₃	1	8	yes	—
1045	#123	C₂³×C₁₃	1	8	yes	—
1046	#123	C₂³×C₁₃	1	8	yes	—
1047	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1048	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1049	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1050	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1051	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1052	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1053	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1054	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1055	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1056	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1057	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1058	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1059	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1060	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1061	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1062	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1063	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1064	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1065	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1066	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1067	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1068	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1069	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1070	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1071	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1072	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1073	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1074	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1075	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1076	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1077	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1078	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1079	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1080	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1081	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1082	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1083	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1084	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1085	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1086	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1087	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1088	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1089	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1090	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1091	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1092	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1093	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1094	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1095	#121	C₂³×C₁₃	1	4	yes	—
1096	#121	C₂³×C₁₃	1	4	yes	—
1097	#121	C₂³×C₁₃	1	2	yes	—
1098	#121	C₂³×C₁₃	1	2	yes	—
1099	#121	C₂³×C₁₃	1	2	yes	—
1100	#121	C₂³×C₁₃	1	4	yes	—
1101	#121	C₂³×C₁₃	1	2	yes	—
1102	#121	C₂³×C₁₃	1	4	yes	—
1103	#121	C₂³×C₁₃	1	4	yes	—
1104	#121	C₂³×C₁₃	1	4	yes	—
1105	#121	C₂³×C₁₃	1	4	yes	—
1106	#121	C₂³×C₁₃	1	8	yes	—
1107	#121	C₂³×C₁₃	1	8	yes	—
1108	#121	C₂³×C₁₃	1	8	yes	—
1109	#121	C₂³×C₁₃	1	8	yes	—
1110	#120	C₂³×C₁₃	1	8	yes	—
1111	#120	C₂³×C₁₃	1	4	yes	—
1112	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1113	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1114	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1115	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1116	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1117	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1118	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1119	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1120	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1121	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1122	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1123	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1124	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1125	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1126	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1127	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1128	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1129	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1130	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1131	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1132	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1133	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1134	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1135	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1136	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1137	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1138	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1139	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1140	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1141	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1142	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1143	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1144	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1145	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1146	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1147	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1148	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1149	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1150	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1151	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1152	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1153	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1154	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1155	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1156	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1157	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1158	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1159	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1160	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1161	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1162	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1163	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1164	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1165	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1166	#117	C₂³×C₁₃	1	2	yes	—
1167	#117	C₂³×C₁₃	1	2	yes	—
1168	#117	C₂³×C₁₃	1	2	yes	—
1169	#117	C₂³×C₁₃	1	2	yes	—
1170	#117	C₂³×C₁₃	1	4	yes	—
1171	#117	C₂³×C₁₃	1	2	yes	—
1172	#117	C₂³×C₁₃	1	2	yes	—
1173	#117	C₂³×C₁₃	1	4	yes	—
1174	#117	C₂³×C₁₃	1	2	yes	—
1175	#117	C₂³×C₁₃	1	2	yes	—
1176	#117	C₂³×C₁₃	1	2	yes	—
1177	#117	C₂³×C₁₃	1	4	yes	—
1178	#117	C₂³×C₁₃	1	8	yes	—
1179	#117	C₂³×C₁₃	1	4	yes	—
1180	#117	C₂³×C₁₃	1	4	yes	—
1181	#117	C₂³×C₁₃	1	4	yes	—
1182	#117	C₂³×C₁₃	1	8	yes	—
1183	#117	C₂³×C₁₃	1	8	yes	—
1184	#117	C₂³×C₁₃	1	8	yes	—
1185	#117	C₂³×C₁₃	1	8	yes	—
1186	#117	C₂³×C₁₃	1	8	yes	—
1187	#117	C₂³×C₁₃	1	8	yes	—
1188	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1189	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1190	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1191	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1192	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1193	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1194	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1195	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1196	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1197	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1198	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1199	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1200	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1201	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1202	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1203	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1204	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1205	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1206	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1207	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1208	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1209	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1210	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1211	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1212	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1213	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1214	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1215	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1216	C₂×C₁₃	—	2	2	no	—
1217	C₂×C₁₃	—	4	4	no	—
1218	C₂×C₁₃	—	4	2	no	—
1219	C₂×C₁₃	—	4	4	no	—
1220	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1221	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1222	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1223	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1224	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1225	#41	—	2	8	no	—
1226	#41	—	8	4	no	—
1227	#41	—	8	8	no	—
1228	C₂×Q₈	—	2	4	no	—
1229	C₂×Q₈	—	8	2	no	—
1230	C₂×Q₈	—	8	4	no	—
1231	C₂×Q₈	—	8	8	no	—
1232	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1233	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1234	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1235	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1236	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1237	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1238	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1239	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1240	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1241	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1242	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1243	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1244	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1245	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1246	C₂×D₄	—	2	4	no	—
1247	C₂×D₄	—	8	2	no	—
1248	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1249	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1250	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1251	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1252	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1253	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1254	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1255	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1256	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1257	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1258	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1259	C₂²×C₄	—	2	4	no	—
1260	C₂²×C₄	—	8	2	no	—
1261	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1262	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1263	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1264	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1265	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1266	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1268	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1269	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1270	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1271	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1272	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1273	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1274	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1275	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1276	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1277	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1278	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1279	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1280	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1281	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1282	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1283	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1284	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1285	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1286	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1287	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1288	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1289	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1290	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1291	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1292	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1293	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1294	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1295	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1296	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1297	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1298	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1299	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1300	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1301	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1302	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1303	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1304	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1305	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1306	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1307	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1308	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1309	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1310	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1311	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1312	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1313	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1314	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1315	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1316	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1317	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1318	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1319	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1320	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1321	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1322	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1323	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1324	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1325	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1326	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1327	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1328	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1329	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1330	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1331	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1332	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1333	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1334	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1335	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1336	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1337	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1338	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1339	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1340	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1341	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1342	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1343	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1344	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1345	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1346	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1347	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1348	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1349	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1350	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1351	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1352	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1353	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1354	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1356	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1357	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1358	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1359	C₂²⋊C₄	C₂⁴×C₁₃	1	4	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	8	yes	—
1364	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1365	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1366	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1367	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1368	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1369	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1370	C₄²	C₂⁴×C₁₃	1	2	yes	—
1371	C₄²	C₂⁴×C₁₃	1	4	yes	—
1372	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1373	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1374	C₄²	C₂⁴×C₁₃	1	4	yes	—
1375	C₄²	C₂⁴×C₁₃	1	4	yes	—
1376	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1377	C₄²	C₂⁴×C₁₃	1	2	yes	—
1378	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1379	C₄²	C₂⁴×C₁₃	1	4	yes	—
1380	C₄²	C₂⁴×C₁₃	1	4	yes	—
1381	C₄²	C₂⁴×C₁₃	1	4	yes	—
1382	C₄²	C₂⁴×C₁₃	1	4	yes	—
1383	C₄²	C₂⁴×C₁₃	1	4	yes	—
1384	C₄²	C₂⁴×C₁₃	1	4	yes	—
1385	C₄²	C₂⁴×C₁₃	1	8	yes	—
1386	C₄²	C₂⁴×C₁₃	1	8	yes	—
1387	C₄²	C₂⁴×C₁₃	1	8	yes	—
1388	C₄²	C₂⁴×C₁₃	1	8	yes	—
1389	C₁₃	#62879	1	1	yes	characteristic, direct product factor, Sylow
1390	C₂³	—	2	2	no	—
1391	C₂³	—	2	4	no	—
1392	C₂³	—	4	2	no	—
1393	C₂³	—	4	1	no	—
1394	C₂³	—	4	1	no	—
1395	C₂³	—	4	2	no	—
1396	C₂³	C₂⁵×C₁₃	1	2	yes	—
1397	C₂³	C₂⁵×C₁₃	1	4	yes	—
1398	C₂³	C₂⁵×C₁₃	1	4	yes	—
1399	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1400	Q₈	—	2	4	no	—
1401	Q₈	—	2	4	no	—
1402	Q₈	—	2	4	no	—
1403	Q₈	—	4	2	no	—
1404	Q₈	—	4	8	no	—
1405	Q₈	—	4	8	no	—
1406	Q₈	—	4	4	no	—
1407	Q₈	—	4	2	no	—
1408	Q₈	—	4	8	no	—
1409	Q₈	—	4	2	no	—
1410	Q₈	—	4	2	no	—
1411	Q₈	—	4	2	no	—
1412	Q₈	—	4	4	no	—
1413	Q₈	—	4	2	no	—
1414	D₄	—	2	8	no	—
1415	D₄	—	2	4	no	—
1416	D₄	—	2	4	no	—
1417	D₄	—	2	4	no	—
1418	D₄	—	4	8	no	—
1419	D₄	—	4	4	no	—
1420	D₄	—	4	8	no	—
1421	D₄	—	4	2	no	—
1422	D₄	—	4	2	no	—
1423	D₄	—	4	8	no	—
1424	D₄	—	4	4	no	—
1425	C₂×C₄	—	2	2	no	—
1426	C₂×C₄	—	2	4	no	—
1427	C₂×C₄	—	2	4	no	—
1428	C₂×C₄	—	2	4	no	—
1429	C₂×C₄	—	2	8	no	—
1430	C₂×C₄	—	4	1	no	—
1431	C₂×C₄	—	4	2	no	—
1432	C₂×C₄	—	4	4	no	—
1433	C₂×C₄	—	4	4	no	—
1434	C₂×C₄	—	4	2	no	—
1435	C₂×C₄	—	4	8	no	—
1436	C₂×C₄	—	4	4	no	—
1437	C₂×C₄	—	4	1	no	—
1438	C₂×C₄	—	4	4	no	—
1439	C₂×C₄	—	4	1	no	—
1440	C₂×C₄	—	4	4	no	—
1441	C₂×C₄	—	4	1	no	—
1442	C₂×C₄	—	4	8	no	—
1443	C₂×C₄	—	4	8	no	—
1444	C₂×C₄	—	4	8	no	—
1445	C₂×C₄	—	4	4	no	—
1446	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1447	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1448	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1449	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1450	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1451	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1452	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1453	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1454	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1455	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1456	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1457	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1458	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1459	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1460	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1461	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1462	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1463	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1464	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1465	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1466	C₂²	—	2	1	no	—
1467	C₂²	—	2	1	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	4	no	—
1470	C₂²	—	2	4	no	—
1471	C₂²	—	2	4	no	—
1472	C₂²	—	2	4	no	—
1473	C₂²	—	2	2	no	—
1474	C₂²	—	2	2	no	—
1475	C₂²	—	2	4	no	—
1476	C₂²	—	2	4	no	—
1477	C₂²	—	8	2	no	—
1478	C₂²	—	8	4	no	—
1479	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1480	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1481	C₄	—	2	2	no	—
1482	C₄	—	2	4	no	—
1483	C₄	—	2	4	no	—
1484	C₄	—	2	1	no	—
1485	C₄	—	2	1	no	—
1486	C₄	—	2	4	no	—
1487	C₄	—	2	4	no	—
1488	C₄	—	2	4	no	—
1489	C₄	—	2	4	no	—
1490	C₄	—	2	4	no	—
1491	C₄	—	2	2	no	—
1492	C₄	—	2	4	no	—
1493	C₄	—	2	4	no	—
1494	C₄	—	2	2	no	—
1495	C₄	—	2	4	no	—
1496	C₄	—	2	1	no	—
1497	C₄	—	2	1	no	—
1498	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1499	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1500	C₂	—	2	2	no	—
1501	C₂	—	4	2	no	—
1502	C₂	—	4	4	no	—
1503	C₂	—	4	4	no	—
1504	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1505	C₂	C₁₃×H(7,𝔽₂)	1	1	yes	characteristic
1506	C₂	C₁₃×2₋¹⁺⁶	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3565	C₂	semidirect
2. C₁₃×#3565	C₂	semidirect
3. C₁₃×#3564	C₂	semidirect
4. C₁₃×#3561	C₂	semidirect
5. C₁₃×#3557	C₂	semidirect
6. C₁₃×#3555	C₂	semidirect
7. C₁₃×#3554	C₂	semidirect
8. C₁₃×#3552	C₂	semidirect
9. C₁₃×#3550	C₂	semidirect
10. C₁₃×#3544	C₂	semidirect
11. C₁₃×#3538	C₂	semidirect
12. C₁₃×#3535	C₂	semidirect
13. C₁₃×#3510	C₂	semidirect
14. C₁₃×#3507	C₂	semidirect
15. C₁₃×#3506	C₂	semidirect
16. C₁₃×#3503	C₂	semidirect
17. C₁₃×#3502	C₂	semidirect
18. C₁₃×#3501	C₂	semidirect
19. C₁₃×#3495	C₂	semidirect
20. C₁₃×#3494	C₂	semidirect
21. C₁₃×#3458	C₂	semidirect
22. C₁₃×#3455	C₂	semidirect
23. C₂×C₁₃×#542	C₂	semidirect
24. C₁₃×#563	C₂²	semidirect
25. C₁₃×#563	C₂²	semidirect
26. C₁₃×#563	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#563	C₂²	semidirect
29. C₁₃×#563	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#559	C₂²	semidirect
33. C₁₃×#559	C₂²	semidirect
34. C₁₃×#559	C₂²	semidirect
35. C₁₃×#559	C₂²	semidirect
36. Q₈²×C₁₃	C₂²	semidirect
37. Q₈²×C₁₃	C₂²	semidirect
38. Q₈²×C₁₃	C₂²	semidirect
39. C₁₃×#557	C₂²	semidirect
40. C₁₃×#557	C₂²	semidirect
41. C₁₃×#557	C₂²	semidirect
42. C₁₃×#557	C₂²	semidirect
43. C₁₃×#557	C₂²	semidirect
44. C₁₃×#557	C₂²	semidirect
45. C₁₃×#556	C₂²	semidirect
46. C₁₃×#556	C₂²	semidirect
47. C₁₃×#556	C₂²	semidirect
48. C₁₃×#556	C₂²	semidirect
49. C₁₃×#556	C₂²	semidirect
50. C₁₃×#556	C₂²	semidirect
51. C₁₃×#556	C₂²	semidirect
52. C₁₃×#556	C₂²	semidirect
54. C₁₃×#555	C₂²	semidirect
56. C₁₃×#554	C₂²	semidirect
57. C₁₃×#554	C₂²	semidirect
58. C₁₃×#554	C₂²	semidirect
59. C₁₃×#554	C₂²	semidirect
60. C₁₃×#554	C₂²	semidirect
61. C₁₃×#554	C₂²	semidirect
62. C₁₃×#554	C₂²	semidirect
65. C₁₃×#553	C₂²	semidirect
67. C₁₃×#552	C₂²	semidirect
68. C₁₃×#552	C₂²	semidirect
69. C₁₃×#552	C₂²	semidirect
70. C₁₃×#552	C₂²	semidirect
71. C₁₃×#552	C₂²	semidirect
72. C₁₃×#552	C₂²	semidirect
77. C₁₃×#550	C₂²	semidirect
79. D₄×Q₈×C₁₃	C₂²	semidirect
80. D₄×Q₈×C₁₃	C₂²	semidirect
81. D₄×Q₈×C₁₃	C₂²	semidirect
82. D₄×Q₈×C₁₃	C₂²	semidirect
83. C₁₃×#548	C₂²	semidirect
85. C₁₃×#547	C₂²	semidirect
86. C₁₃×#547	C₂²	semidirect
93. C₁₃×#544	C₂²	semidirect
94. C₁₃×#544	C₂²	semidirect
95. C₁₃×#544	C₂²	semidirect
96. C₁₃×#544	C₂²	semidirect
97. C₁₃×#544	C₂²	semidirect
98. C₁₃×#544	C₂²	semidirect
99. C₁₃×#544	C₂²	semidirect
108. C₁₃×#542	C₂²	semidirect
109. C₁₃×#542	C₂²	semidirect
110. C₁₃×#542	C₂²	semidirect
111. C₁₃×#542	C₂²	semidirect
112. C₁₃×#542	C₂²	semidirect
113. C₁₃×#542	C₂²	semidirect
114. C₁₃×#542	C₂²	semidirect
115. C₁₃×#542	C₂²	semidirect
116. C₁₃×#542	C₂²	semidirect
117. C₁₃×#542	C₂²	semidirect
118. C₁₃×#541	C₂²	semidirect
119. C₁₃×#541	C₂²	semidirect
120. C₁₃×#541	C₂²	semidirect
121. C₁₃×#541	C₂²	semidirect
122. C₁₃×#541	C₂²	semidirect
124. C₁₃×#540	C₂²	semidirect
128. C₁₃×#539	C₂²	semidirect
129. C₁₃×#539	C₂²	semidirect
130. C₁₃×#539	C₂²	semidirect
131. C₁₃×#539	C₂²	semidirect
136. C₁₃×#536	C₂²	semidirect
137. C₁₃×#536	C₂²	semidirect
138. C₁₃×#536	C₂²	semidirect
145. C₁₃×#533	C₂²	semidirect
146. C₁₃×#533	C₂²	semidirect
147. C₁₃×#533	C₂²	semidirect
148. C₁₃×#533	C₂²	semidirect
152. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
155. C₁₃×#529	C₂²	semidirect
156. C₁₃×#529	C₂²	semidirect
157. C₁₃×#529	C₂²	semidirect
158. C₁₃×#529	C₂²	semidirect
159. C₁₃×#529	C₂²	semidirect
470. #62879	C₁₃	direct (N × H)
637. #3565	C₂×C₁₃	semidirect
638. #3565	C₂×C₁₃	semidirect
639. #3564	C₂×C₁₃	semidirect
640. #3561	C₂×C₁₃	semidirect
641. #3557	C₂×C₁₃	semidirect
642. #3555	C₂×C₁₃	semidirect
643. #3554	C₂×C₁₃	semidirect
644. #3552	C₂×C₁₃	semidirect
645. #3550	C₂×C₁₃	semidirect
646. #3544	C₂×C₁₃	semidirect
647. #3538	C₂×C₁₃	semidirect
648. #3535	C₂×C₁₃	semidirect
649. #3510	C₂×C₁₃	semidirect
650. #3507	C₂×C₁₃	semidirect
651. #3506	C₂×C₁₃	semidirect
652. #3503	C₂×C₁₃	semidirect
653. #3502	C₂×C₁₃	semidirect
654. #3501	C₂×C₁₃	semidirect
655. #3495	C₂×C₁₃	semidirect
656. #3494	C₂×C₁₃	semidirect
657. #3458	C₂×C₁₃	semidirect
658. #3455	C₂×C₁₃	semidirect
659. C₂×#542	C₂×C₁₃	semidirect
736. #563	C₂²×C₁₃	semidirect
737. #563	C₂²×C₁₃	semidirect
738. #563	C₂²×C₁₃	semidirect
739. #563	C₂²×C₁₃	semidirect
740. #563	C₂²×C₁₃	semidirect
741. #563	C₂²×C₁₃	semidirect
742. #562	C₂²×C₁₃	semidirect
743. #562	C₂²×C₁₃	semidirect
744. #559	C₂²×C₁₃	semidirect
745. #559	C₂²×C₁₃	semidirect
746. #559	C₂²×C₁₃	semidirect
747. #559	C₂²×C₁₃	semidirect
748. Q₈²	C₂²×C₁₃	semidirect
749. Q₈²	C₂²×C₁₃	semidirect
750. Q₈²	C₂²×C₁₃	semidirect
751. #557	C₂²×C₁₃	semidirect
752. #557	C₂²×C₁₃	semidirect
753. #557	C₂²×C₁₃	semidirect
754. #557	C₂²×C₁₃	semidirect
755. #557	C₂²×C₁₃	semidirect
756. #557	C₂²×C₁₃	semidirect
757. #556	C₂²×C₁₃	semidirect
758. #556	C₂²×C₁₃	semidirect
759. #556	C₂²×C₁₃	semidirect
760. #556	C₂²×C₁₃	semidirect
761. #556	C₂²×C₁₃	semidirect
762. #556	C₂²×C₁₃	semidirect
763. #556	C₂²×C₁₃	semidirect
764. #556	C₂²×C₁₃	semidirect
766. #555	C₂²×C₁₃	semidirect
768. #554	C₂²×C₁₃	semidirect
769. #554	C₂²×C₁₃	semidirect
770. #554	C₂²×C₁₃	semidirect
771. #554	C₂²×C₁₃	semidirect
772. #554	C₂²×C₁₃	semidirect
773. #554	C₂²×C₁₃	semidirect
774. #554	C₂²×C₁₃	semidirect
777. #553	C₂²×C₁₃	semidirect
779. #552	C₂²×C₁₃	semidirect
780. #552	C₂²×C₁₃	semidirect
781. #552	C₂²×C₁₃	semidirect
782. #552	C₂²×C₁₃	semidirect
783. #552	C₂²×C₁₃	semidirect
784. #552	C₂²×C₁₃	semidirect
789. #550	C₂²×C₁₃	semidirect
791. D₄×Q₈	C₂²×C₁₃	semidirect
792. D₄×Q₈	C₂²×C₁₃	semidirect
793. D₄×Q₈	C₂²×C₁₃	semidirect
794. D₄×Q₈	C₂²×C₁₃	semidirect
795. #548	C₂²×C₁₃	semidirect
797. #547	C₂²×C₁₃	semidirect
798. #547	C₂²×C₁₃	semidirect
805. #544	C₂²×C₁₃	semidirect
806. #544	C₂²×C₁₃	semidirect
807. #544	C₂²×C₁₃	semidirect
808. #544	C₂²×C₁₃	semidirect
809. #544	C₂²×C₁₃	semidirect
810. #544	C₂²×C₁₃	semidirect
811. #544	C₂²×C₁₃	semidirect
820. #542	C₂²×C₁₃	semidirect
821. #542	C₂²×C₁₃	semidirect
822. #542	C₂²×C₁₃	semidirect
823. #542	C₂²×C₁₃	semidirect
824. #542	C₂²×C₁₃	semidirect
825. #542	C₂²×C₁₃	semidirect
826. #542	C₂²×C₁₃	semidirect
827. #542	C₂²×C₁₃	semidirect
828. #542	C₂²×C₁₃	semidirect
829. #542	C₂²×C₁₃	semidirect
830. #541	C₂²×C₁₃	semidirect
831. #541	C₂²×C₁₃	semidirect
832. #541	C₂²×C₁₃	semidirect
833. #541	C₂²×C₁₃	semidirect
834. #541	C₂²×C₁₃	semidirect
836. #540	C₂²×C₁₃	semidirect
840. #539	C₂²×C₁₃	semidirect
841. #539	C₂²×C₁₃	semidirect
842. #539	C₂²×C₁₃	semidirect
843. #539	C₂²×C₁₃	semidirect
848. #536	C₂²×C₁₃	semidirect
849. #536	C₂²×C₁₃	semidirect
850. #536	C₂²×C₁₃	semidirect
857. #533	C₂²×C₁₃	semidirect
858. #533	C₂²×C₁₃	semidirect
859. #533	C₂²×C₁₃	semidirect
860. #533	C₂²×C₁₃	semidirect
864. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
867. #529	C₂²×C₁₃	semidirect
868. #529	C₂²×C₁₃	semidirect
869. #529	C₂²×C₁₃	semidirect
870. #529	C₂²×C₁₃	semidirect
871. #529	C₂²×C₁₃	semidirect
1389. C₁₃	#62879	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×#3561	2
C₁₃×#3557	2
C₁₃×#3555	2
C₁₃×#3554	2
C₁₃×#3552	2
C₁₃×#3550	2
C₁₃×#3544	2
C₁₃×#3538	2
C₁₃×#3535	2
C₁₃×#3510	2
C₁₃×#3507	2
C₁₃×#3506	2
C₁₃×#3503	2
C₁₃×#3502	2
C₁₃×#3501	2
C₁₃×#3495	2
C₁₃×#3494	2
C₁₃×#3458	2
C₁₃×#3455	2
C₂×C₁₃×#542	2
#62879	13

Subgroups — C13×#62879 #15749218

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62879 #15749218