Subgroups — C₁₃×#62928 #15749267

Order 3328.

6360 conjugacy classes of subgroups.

The subgroup lattice has 1460 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×#3563	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3563	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3563	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3555	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3544	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3535	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3515	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3509	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3504	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3502	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3495	C₂	1	4	yes	maximal, complemented
17	C₁₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3475	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3458	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#544	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#564	C₂²	1	8	yes	complemented
25	C₁₃×#563	C₂²	1	8	yes	—
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×#562	C₂²	1	8	yes	—
30	Q₈²×C₁₃	C₂²	1	4	yes	complemented
31	C₁₃×#557	C₂²	1	4	yes	complemented
32	C₁₃×#557	C₂²	1	8	yes	complemented
33	C₁₃×#557	C₂²	1	4	yes	complemented
34	C₁₃×#557	C₂²	1	4	yes	complemented
35	C₁₃×#557	C₂²	1	4	yes	complemented
36	C₁₃×#557	C₂²	1	4	yes	complemented
37	C₁₃×#556	C₂²	1	2	yes	—
38	C₁₃×#556	C₂²	1	8	yes	complemented
39	C₁₃×#556	C₂²	1	4	yes	complemented
40	C₁₃×#556	C₂²	1	4	yes	complemented
41	C₁₃×#556	C₂²	1	8	yes	complemented
42	C₁₃×#556	C₂²	1	4	yes	complemented
43	C₁₃×#555	C₂²	1	2	yes	—
44	C₁₃×#555	C₂²	1	4	yes	complemented
45	C₁₃×#554	C₂²	1	8	yes	—
46	C₁₃×#554	C₂²	1	2	yes	—
47	C₁₃×#554	C₂²	1	8	yes	—
48	C₁₃×#554	C₂²	1	4	yes	complemented
49	C₁₃×#554	C₂²	1	4	yes	complemented
50	C₁₃×#554	C₂²	1	4	yes	complemented
51	C₁₃×#554	C₂²	1	4	yes	complemented
52	C₁₃×#554	C₂²	1	4	yes	complemented
53	C₁₃×#553	C₂²	1	2	yes	—
54	C₁₃×#553	C₂²	1	2	yes	—
55	C₁₃×#553	C₂²	1	4	yes	complemented
56	C₁₃×#553	C₂²	1	4	yes	complemented
57	C₁₃×#552	C₂²	1	8	yes	—
58	C₁₃×#552	C₂²	1	4	yes	—
59	C₁₃×#552	C₂²	1	4	yes	—
60	C₁₃×#552	C₂²	1	2	yes	—
61	C₁₃×#552	C₂²	1	4	yes	—
62	C₁₃×#552	C₂²	1	8	yes	—
63	C₁₃×#552	C₂²	1	4	yes	—
64	C₁₃×#552	C₂²	1	8	yes	—
65	C₁₃×#552	C₂²	1	4	yes	—
66	C₁₃×#552	C₂²	1	2	yes	—
67	C₁₃×#552	C₂²	1	8	yes	complemented
68	C₁₃×#552	C₂²	1	4	yes	complemented
69	C₁₃×#552	C₂²	1	4	yes	complemented
70	C₁₃×#552	C₂²	1	4	yes	complemented
71	C₁₃×#552	C₂²	1	8	yes	complemented
72	C₁₃×#552	C₂²	1	4	yes	complemented
73	C₁₃×#552	C₂²	1	4	yes	complemented
74	C₁₃×#552	C₂²	1	8	yes	complemented
75	C₁₃×#552	C₂²	1	8	yes	complemented
76	C₁₃×#552	C₂²	1	4	yes	complemented
77	C₁₃×#552	C₂²	1	8	yes	complemented
78	C₁₃×#551	C₂²	1	8	yes	—
79	C₁₃×#551	C₂²	1	8	yes	—
80	C₁₃×#551	C₂²	1	4	yes	—
81	C₁₃×#551	C₂²	1	4	yes	—
82	C₁₃×#547	C₂²	1	8	yes	—
83	C₁₃×#547	C₂²	1	2	yes	—
84	C₁₃×#547	C₂²	1	4	yes	complemented
85	C₁₃×#546	C₂²	1	4	yes	—
86	C₁₃×#544	C₂²	1	4	yes	—
87	C₁₃×#544	C₂²	1	4	yes	—
88	C₁₃×#544	C₂²	1	1	yes	characteristic
89	C₁₃×#544	C₂²	1	1	yes	characteristic
90	C₁₃×#544	C₂²	1	2	yes	—
91	C₁₃×#544	C₂²	1	1	yes	characteristic
92	C₁₃×#544	C₂²	1	2	yes	—
93	C₁₃×#544	C₂²	1	4	yes	complemented
94	C₁₃×#544	C₂²	1	8	yes	complemented
95	C₁₃×#544	C₂²	1	4	yes	complemented
96	C₁₃×#544	C₂²	1	4	yes	complemented
97	C₁₃×#544	C₂²	1	4	yes	complemented
98	C₁₃×#544	C₂²	1	4	yes	complemented
99	C₁₃×#544	C₂²	1	4	yes	complemented
100	C₁₃×#544	C₂²	1	4	yes	complemented
101	C₁₃×#543	C₂²	1	4	yes	—
102	C₁₃×#542	C₂²	1	8	yes	—
103	C₁₃×#542	C₂²	1	8	yes	complemented
104	C₁₃×#542	C₂²	1	4	yes	complemented
105	C₁₃×#542	C₂²	1	4	yes	complemented
106	C₁₃×#542	C₂²	1	4	yes	complemented
107	C₁₃×#542	C₂²	1	4	yes	complemented
108	C₁₃×#542	C₂²	1	4	yes	complemented
109	C₁₃×#541	C₂²	1	4	yes	complemented
110	C₁₃×#541	C₂²	1	8	yes	complemented
111	C₁₃×#541	C₂²	1	4	yes	complemented
112	C₁₃×#541	C₂²	1	4	yes	complemented
113	C₁₃×#541	C₂²	1	8	yes	complemented
114	C₁₃×#541	C₂²	1	8	yes	complemented
115	C₁₃×#541	C₂²	1	4	yes	complemented
116	C₁₃×#541	C₂²	1	4	yes	complemented
117	C₁₃×#541	C₂²	1	8	yes	complemented
118	C₁₃×#541	C₂²	1	8	yes	complemented
119	C₁₃×#539	C₂²	1	8	yes	—
120	C₁₃×#539	C₂²	1	4	yes	—
121	C₁₃×#539	C₂²	1	8	yes	—
122	C₁₃×#539	C₂²	1	4	yes	—
123	C₁₃×#539	C₂²	1	8	yes	complemented
124	C₁₃×#538	C₂²	1	4	yes	—
125	C₁₃×#537	C₂²	1	1	yes	characteristic
126	C₁₃×#536	C₂²	1	8	yes	—
127	C₁₃×#536	C₂²	1	2	yes	—
128	C₁₃×#536	C₂²	1	4	yes	complemented
129	C₁₃×#533	C₂²	1	4	yes	—
130	C₁₃×#533	C₂²	1	4	yes	—
131	C₁₃×#533	C₂²	1	2	yes	—
132	C₁₃×#533	C₂²	1	4	yes	complemented
133	C₁₃×#533	C₂²	1	4	yes	complemented
134	C₁₃×#533	C₂²	1	4	yes	complemented
135	C₁₃×#533	C₂²	1	4	yes	complemented
136	C₁₃×#533	C₂²	1	4	yes	complemented
137	C₁₃×#533	C₂²	1	4	yes	complemented
138	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
139	C₁₃×#529	C₂²	1	4	yes	—
140	C₁₃×#529	C₂²	1	4	yes	—
141	C₁₃×#529	C₂²	1	4	yes	—
142	C₁₃×#529	C₂²	1	4	yes	—
143	C₁₃×#529	C₂²	1	4	yes	—
144	C₁₃×#529	C₂²	1	4	yes	complemented
145	C₁₃×#529	C₂²	1	4	yes	complemented
146	C₁₃×#529	C₂²	1	4	yes	complemented
147	C₂×C₁₃×#126	C₂²	1	2	yes	—
148	C₂×C₁₃×#125	C₂²	1	2	yes	—
149	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
150	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
151	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
152	C₁₃×#525	C₂²	1	4	yes	—
153	C₁₃×#525	C₂²	1	2	yes	—
154	C₁₃×#525	C₂²	1	2	yes	—
155	C₂×C₁₃×#123	C₂²	1	2	yes	—
156	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
157	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
158	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
159	C₁₃×#520	C₂²	1	2	yes	—
160	C₁₃×#520	C₂²	1	2	yes	—
161	C₁₃×#520	C₂²	1	4	yes	complemented
162	C₁₃×#519	C₂²	1	2	yes	—
163	C₁₃×#519	C₂²	1	4	yes	complemented
164	C₄×C₁₃×#41	C₂²	1	2	yes	—
165	C₄×C₁₃×#41	C₂²	1	4	yes	—
166	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
167	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
168	C₂×C₁₃×#117	C₂²	1	2	yes	—
169	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
170	C₂×C₁₃×#117	C₂²	1	2	yes	—
171	C₂×C₁₃×#117	C₂²	1	2	yes	—
172	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
173	C₂×C₁₃×#41	C₂³	1	2	yes	—
174	C₂×C₁₃×#41	C₂³	1	4	yes	—
175	C₂×C₁₃×#41	C₂³	1	4	yes	—
176	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
177	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
178	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
179	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
180	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
181	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
182	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
183	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
184	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
185	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
186	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
187	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
188	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
189	C₁₃×C₄⋊Q₈	C₂³	1	4	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	2	yes	—
194	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
195	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
196	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
197	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
198	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
199	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
200	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
201	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
202	C₁₃×#126	C₂³	1	8	yes	—
203	C₁₃×#126	C₂³	1	8	yes	—
204	C₁₃×#126	C₂³	1	4	yes	—
205	C₁₃×#126	C₂³	1	4	yes	—
206	C₁₃×#126	C₂³	1	4	yes	—
207	C₁₃×#126	C₂³	1	4	yes	—
208	C₁₃×#126	C₂³	1	4	yes	—
209	C₁₃×#126	C₂³	1	4	yes	—
210	C₁₃×#126	C₂³	1	8	yes	—
211	C₁₃×#126	C₂³	1	8	yes	—
212	C₁₃×#126	C₂³	1	8	yes	—
213	C₁₃×#126	C₂³	1	8	yes	—
214	C₁₃×#126	C₂³	1	8	yes	—
215	C₁₃×#126	C₂³	1	8	yes	—
216	C₁₃×#126	C₂³	1	8	yes	—
217	C₁₃×#126	C₂³	1	8	yes	—
218	C₁₃×#126	C₂³	1	8	yes	—
219	C₁₃×#126	C₂³	1	8	yes	—
220	C₁₃×#126	C₂³	1	8	yes	—
221	C₁₃×#126	C₂³	1	8	yes	—
222	C₁₃×#126	C₂³	1	8	yes	—
223	C₁₃×#125	C₂³	1	4	yes	—
224	C₁₃×#125	C₂³	1	8	yes	—
225	C₁₃×#125	C₂³	1	8	yes	—
226	C₁₃×#125	C₂³	1	4	yes	—
227	C₁₃×#125	C₂³	1	4	yes	—
228	C₁₃×#125	C₂³	1	2	yes	—
229	C₁₃×#125	C₂³	1	4	yes	—
230	C₁₃×#125	C₂³	1	4	yes	—
231	C₁₃×#125	C₂³	1	8	yes	—
232	C₁₃×#125	C₂³	1	8	yes	—
233	C₁₃×#125	C₂³	1	8	yes	—
234	C₁₃×#125	C₂³	1	4	yes	—
235	C₁₃×#125	C₂³	1	8	yes	—
236	C₁₃×#125	C₂³	1	4	yes	—
237	C₁₃×#125	C₂³	1	4	yes	—
238	C₁₃×#125	C₂³	1	4	yes	—
239	C₁₃×#125	C₂³	1	4	yes	—
240	C₁₃×#125	C₂³	1	4	yes	—
241	C₁₃×#125	C₂³	1	4	yes	—
242	C₁₃×#125	C₂³	1	2	yes	—
243	C₁₃×#125	C₂³	1	8	yes	—
244	C₁₃×#125	C₂³	1	8	yes	—
245	C₁₃×#125	C₂³	1	8	yes	—
246	C₁₃×#125	C₂³	1	8	yes	—
247	C₁₃×#125	C₂³	1	8	yes	—
248	C₁₃×#125	C₂³	1	4	yes	—
249	C₁₃×#125	C₂³	1	4	yes	—
250	C₁₃×#125	C₂³	1	8	yes	—
251	C₁₃×#125	C₂³	1	8	yes	—
252	C₁₃×#125	C₂³	1	8	yes	—
253	C₁₃×#125	C₂³	1	8	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	8	yes	—
259	C₁₃×#124	C₂³	1	4	yes	—
260	C₁₃×#124	C₂³	1	4	yes	—
261	C₁₃×#124	C₂³	1	4	yes	—
262	C₁₃×#124	C₂³	1	4	yes	—
263	C₁₃×#124	C₂³	1	4	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	8	yes	—
268	C₁₃×#123	C₂³	1	8	yes	—
269	C₁₃×#123	C₂³	1	8	yes	—
270	C₁₃×#123	C₂³	1	4	yes	—
271	C₁₃×#123	C₂³	1	8	yes	—
272	C₁₃×#123	C₂³	1	4	yes	—
273	C₁₃×#123	C₂³	1	4	yes	—
274	C₁₃×#123	C₂³	1	8	yes	—
275	C₁₃×#123	C₂³	1	4	yes	—
276	C₁₃×#123	C₂³	1	4	yes	—
277	C₁₃×#123	C₂³	1	4	yes	—
278	C₁₃×#123	C₂³	1	4	yes	—
279	C₁₃×#123	C₂³	1	4	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	8	yes	—
284	C₁₃×#123	C₂³	1	8	yes	—
285	C₁₃×#123	C₂³	1	8	yes	—
286	C₁₃×#123	C₂³	1	8	yes	—
287	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
288	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
289	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
290	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
291	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
292	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
293	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
294	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
295	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
296	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
297	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
298	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
299	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
300	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
301	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
303	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
304	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
305	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
306	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
307	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
308	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
309	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
310	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
311	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
312	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
313	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
314	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
315	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
316	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
317	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
318	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
319	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
320	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
321	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
322	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
324	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₁₃×#121	C₂³	1	4	yes	—
329	C₁₃×#121	C₂³	1	2	yes	—
330	C₁₃×#121	C₂³	1	2	yes	—
331	C₁₃×#121	C₂³	1	2	yes	—
332	C₁₃×#121	C₂³	1	2	yes	—
333	C₁₃×#121	C₂³	1	4	yes	—
334	C₁₃×#121	C₂³	1	4	yes	—
335	C₁₃×#121	C₂³	1	4	yes	—
336	C₁₃×#121	C₂³	1	4	yes	—
337	C₁₃×#121	C₂³	1	4	yes	—
338	C₁₃×#121	C₂³	1	8	yes	—
339	C₁₃×#120	C₂³	1	4	yes	—
340	C₁₃×#120	C₂³	1	4	yes	—
341	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
342	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
343	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
344	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
345	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
346	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
347	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
348	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
349	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
350	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
351	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
352	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
353	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
354	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
355	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
356	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
357	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
358	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
359	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
360	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
361	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
362	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
363	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
364	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
365	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
366	C₄×D₄×C₁₃	C₂³	1	2	yes	—
367	C₄×D₄×C₁₃	C₂³	1	2	yes	—
368	C₄×D₄×C₁₃	C₂³	1	2	yes	—
369	C₄×D₄×C₁₃	C₂³	1	2	yes	—
370	C₄×D₄×C₁₃	C₂³	1	4	yes	—
371	C₄×D₄×C₁₃	C₂³	1	4	yes	—
372	C₄×D₄×C₁₃	C₂³	1	4	yes	—
373	C₄×D₄×C₁₃	C₂³	1	4	yes	—
374	C₄×D₄×C₁₃	C₂³	1	2	yes	—
375	C₄×D₄×C₁₃	C₂³	1	4	yes	—
376	C₄×D₄×C₁₃	C₂³	1	4	yes	—
377	C₄×D₄×C₁₃	C₂³	1	4	yes	—
378	C₄×D₄×C₁₃	C₂³	1	2	yes	—
379	C₄×D₄×C₁₃	C₂³	1	8	yes	—
380	C₄×D₄×C₁₃	C₂³	1	8	yes	—
381	C₄×D₄×C₁₃	C₂³	1	4	yes	—
382	C₄×D₄×C₁₃	C₂³	1	4	yes	—
383	C₄×D₄×C₁₃	C₂³	1	4	yes	—
384	C₄×D₄×C₁₃	C₂³	1	4	yes	—
385	C₄×D₄×C₁₃	C₂³	1	8	yes	—
386	C₄×D₄×C₁₃	C₂³	1	4	yes	—
387	C₄×D₄×C₁₃	C₂³	1	4	yes	—
388	C₄×D₄×C₁₃	C₂³	1	8	yes	—
389	C₄×D₄×C₁₃	C₂³	1	8	yes	—
390	C₁₃×#117	C₂³	1	2	yes	—
391	C₁₃×#117	C₂³	1	2	yes	—
392	C₁₃×#117	C₂³	1	2	yes	—
393	C₁₃×#117	C₂³	1	4	yes	—
394	C₁₃×#117	C₂³	1	4	yes	—
395	C₁₃×#117	C₂³	1	4	yes	—
396	C₁₃×#117	C₂³	1	4	yes	—
397	C₁₃×#117	C₂³	1	4	yes	—
398	C₁₃×#117	C₂³	1	2	yes	—
399	C₁₃×#117	C₂³	1	2	yes	—
400	C₁₃×#117	C₂³	1	4	yes	—
401	C₁₃×#117	C₂³	1	4	yes	—
402	C₁₃×#117	C₂³	1	4	yes	—
403	C₁₃×#117	C₂³	1	4	yes	—
404	C₁₃×#117	C₂³	1	4	yes	—
405	C₁₃×#117	C₂³	1	2	yes	—
406	C₁₃×#117	C₂³	1	2	yes	—
407	C₁₃×#117	C₂³	1	4	yes	—
408	C₁₃×#117	C₂³	1	4	yes	—
409	C₁₃×#117	C₂³	1	4	yes	—
410	C₁₃×#117	C₂³	1	4	yes	—
411	C₁₃×#117	C₂³	1	8	yes	—
412	C₁₃×#117	C₂³	1	4	yes	—
413	C₁₃×#117	C₂³	1	8	yes	—
414	C₁₃×#117	C₂³	1	4	yes	—
415	C₁₃×#117	C₂³	1	4	yes	—
416	C₁₃×#117	C₂³	1	8	yes	—
417	C₁₃×#117	C₂³	1	8	yes	—
418	C₁₃×#117	C₂³	1	8	yes	—
419	C₁₃×#117	C₂³	1	8	yes	—
420	C₁₃×#117	C₂³	1	8	yes	—
421	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
423	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
424	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
425	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
426	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
428	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
429	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
430	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
431	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
432	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
433	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
434	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
435	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
436	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
437	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
438	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
439	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
440	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
441	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
442	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
443	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
444	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
445	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
446	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
447	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
448	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
449	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
450	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
451	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
452	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
453	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
454	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
455	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
456	#62928	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
457	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
458	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₁₃×#41	—	2	8	no	—
460	C₁₃×#41	—	4	8	no	—
461	C₁₃×#41	—	4	8	no	—
462	C₂×Q₈×C₁₃	—	2	4	no	—
463	C₂×Q₈×C₁₃	—	4	8	no	—
464	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
465	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
466	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
467	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
468	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
469	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
470	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
471	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
472	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
473	C₂×D₄×C₁₃	—	4	2	no	—
474	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
475	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
476	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
477	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
478	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
479	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
480	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
481	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
482	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
483	C₂²×C₄×C₁₃	—	2	4	no	—
484	C₂²×C₄×C₁₃	—	2	4	no	—
485	C₂²×C₄×C₁₃	—	4	4	no	—
486	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
488	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
489	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
490	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
491	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
492	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
494	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
495	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
496	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
498	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
499	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
500	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
501	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
502	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
504	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
505	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
506	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
507	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
508	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
510	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
511	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
512	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
513	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
514	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
515	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
516	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
517	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
518	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
519	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
520	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
521	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
522	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
523	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
524	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
525	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
526	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
527	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
528	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
529	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
530	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
531	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
532	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
533	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
534	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
535	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
536	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
537	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
538	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
539	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
540	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
541	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
542	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
543	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
544	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
545	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
546	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
547	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
548	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
549	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
550	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
551	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
552	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
553	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
554	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
555	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
556	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
557	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
558	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
559	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
560	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
561	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
562	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
563	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
564	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
565	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
566	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
567	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
568	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
569	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
573	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
574	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
575	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
576	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
577	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
578	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
579	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
580	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
581	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
582	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
583	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
584	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
585	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
586	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
587	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
588	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
589	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
590	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
591	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
592	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
594	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
595	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
596	C₄²×C₁₃	C₂⁴	1	4	yes	—
597	C₄²×C₁₃	C₂⁴	1	2	yes	—
598	C₄²×C₁₃	C₂⁴	1	4	yes	—
599	C₄²×C₁₃	C₂⁴	1	4	yes	—
600	C₄²×C₁₃	C₂⁴	1	4	yes	—
601	C₄²×C₁₃	C₂⁴	1	4	yes	—
602	C₄²×C₁₃	C₂⁴	1	4	yes	—
603	C₄²×C₁₃	C₂⁴	1	4	yes	—
604	C₄²×C₁₃	C₂⁴	1	4	yes	—
605	C₄²×C₁₃	C₂⁴	1	2	yes	—
606	C₄²×C₁₃	C₂⁴	1	4	yes	—
607	C₄²×C₁₃	C₂⁴	1	4	yes	—
608	C₄²×C₁₃	C₂⁴	1	4	yes	—
609	C₄²×C₁₃	C₂⁴	1	4	yes	—
610	C₄²×C₁₃	C₂⁴	1	4	yes	—
611	C₄²×C₁₃	C₂⁴	1	8	yes	—
612	C₄²×C₁₃	C₂⁴	1	8	yes	—
613	C₄²×C₁₃	C₂⁴	1	8	yes	—
614	C₄²×C₁₃	C₂⁴	1	8	yes	—
615	#3565	C₂×C₁₃	1	4	yes	complemented
616	#3565	C₂×C₁₃	1	4	yes	complemented
617	#3564	C₂×C₁₃	1	4	yes	complemented
618	#3563	C₂×C₁₃	1	4	yes	complemented
619	#3563	C₂×C₁₃	1	4	yes	complemented
620	#3563	C₂×C₁₃	1	4	yes	complemented
621	#3555	C₂×C₁₃	1	4	yes	complemented
622	#3544	C₂×C₁₃	1	4	yes	complemented
623	#3535	C₂×C₁₃	1	4	yes	complemented
624	#3515	C₂×C₁₃	1	4	yes	complemented
625	#3509	C₂×C₁₃	1	4	yes	complemented
626	#3504	C₂×C₁₃	1	2	yes	complemented
627	#3502	C₂×C₁₃	1	1	yes	characteristic, complemented
628	#3495	C₂×C₁₃	1	2	yes	complemented
629	#3495	C₂×C₁₃	1	2	yes	complemented
630	#3495	C₂×C₁₃	1	4	yes	complemented
631	#3493	C₂×C₁₃	1	1	yes	characteristic, complemented
632	#3492	C₂×C₁₃	1	1	yes	characteristic, complemented
633	#3475	C₂×C₁₃	1	2	yes	complemented
634	C₂×#552	C₂×C₁₃	1	1	yes	characteristic, complemented
635	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
636	#3458	C₂×C₁₃	1	1	yes	characteristic, complemented
637	C₂×#544	C₂×C₁₃	1	1	yes	characteristic, complemented
638	C₂³×C₁₃	—	2	2	no	—
639	C₂³×C₁₃	—	2	2	no	—
640	C₂³×C₁₃	—	2	2	no	—
641	C₂³×C₁₃	—	4	1	no	—
642	C₂³×C₁₃	—	4	1	no	—
643	C₂³×C₁₃	—	4	1	no	—
644	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
645	C₂³×C₁₃	C₂⁵	1	2	yes	—
646	C₂³×C₁₃	C₂⁵	1	4	yes	—
647	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
648	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
649	Q₈×C₁₃	—	2	8	no	—
650	Q₈×C₁₃	—	2	4	no	—
651	Q₈×C₁₃	—	4	8	no	—
652	Q₈×C₁₃	—	4	4	no	—
653	Q₈×C₁₃	—	4	4	no	—
654	Q₈×C₁₃	—	4	4	no	—
655	Q₈×C₁₃	—	4	8	no	—
656	Q₈×C₁₃	—	4	4	no	—
657	Q₈×C₁₃	—	4	4	no	—
658	D₄×C₁₃	—	2	8	no	—
659	D₄×C₁₃	—	2	4	no	—
660	D₄×C₁₃	—	2	8	no	—
661	D₄×C₁₃	—	2	4	no	—
662	D₄×C₁₃	—	4	2	no	—
663	D₄×C₁₃	—	4	4	no	—
664	D₄×C₁₃	—	4	4	no	—
665	D₄×C₁₃	—	4	4	no	—
666	D₄×C₁₃	—	4	4	no	—
667	C₂×C₄×C₁₃	—	2	2	no	—
668	C₂×C₄×C₁₃	—	2	2	no	—
669	C₂×C₄×C₁₃	—	2	4	no	—
670	C₂×C₄×C₁₃	—	2	8	no	—
671	C₂×C₄×C₁₃	—	2	8	no	—
672	C₂×C₄×C₁₃	—	2	4	no	—
673	C₂×C₄×C₁₃	—	2	4	no	—
674	C₂×C₄×C₁₃	—	2	4	no	—
675	C₂×C₄×C₁₃	—	2	4	no	—
676	C₂×C₄×C₁₃	—	2	8	no	—
677	C₂×C₄×C₁₃	—	4	2	no	—
678	C₂×C₄×C₁₃	—	4	4	no	—
679	C₂×C₄×C₁₃	—	4	2	no	—
680	C₂×C₄×C₁₃	—	4	4	no	—
681	C₂×C₄×C₁₃	—	4	1	no	—
682	C₂×C₄×C₁₃	—	4	4	no	—
683	C₂×C₄×C₁₃	—	4	8	no	—
684	C₂×C₄×C₁₃	—	4	2	no	—
685	C₂×C₄×C₁₃	—	4	4	no	—
686	C₂×C₄×C₁₃	—	4	1	no	—
687	C₂×C₄×C₁₃	—	4	8	no	—
688	C₂×C₄×C₁₃	—	4	4	no	—
689	C₂×C₄×C₁₃	—	4	4	no	—
690	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
691	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
692	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
693	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
694	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
695	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
696	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
697	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
698	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
699	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
700	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
701	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
702	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
703	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
704	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
705	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
706	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
707	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
708	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
709	#564	C₂²×C₁₃	1	8	yes	complemented
710	#563	C₂²×C₁₃	1	8	yes	—
711	#563	C₂²×C₁₃	1	8	yes	complemented
712	#563	C₂²×C₁₃	1	8	yes	complemented
713	#563	C₂²×C₁₃	1	8	yes	complemented
714	#562	C₂²×C₁₃	1	8	yes	—
715	Q₈²	C₂²×C₁₃	1	4	yes	complemented
716	#557	C₂²×C₁₃	1	4	yes	complemented
717	#557	C₂²×C₁₃	1	4	yes	complemented
718	#557	C₂²×C₁₃	1	4	yes	complemented
719	#557	C₂²×C₁₃	1	4	yes	complemented
720	#557	C₂²×C₁₃	1	4	yes	complemented
721	#557	C₂²×C₁₃	1	8	yes	complemented
722	#556	C₂²×C₁₃	1	2	yes	—
723	#556	C₂²×C₁₃	1	4	yes	complemented
724	#556	C₂²×C₁₃	1	4	yes	complemented
725	#556	C₂²×C₁₃	1	8	yes	complemented
726	#556	C₂²×C₁₃	1	4	yes	complemented
727	#556	C₂²×C₁₃	1	8	yes	complemented
728	#555	C₂²×C₁₃	1	2	yes	—
729	#555	C₂²×C₁₃	1	4	yes	complemented
730	#554	C₂²×C₁₃	1	2	yes	—
731	#554	C₂²×C₁₃	1	8	yes	—
732	#554	C₂²×C₁₃	1	8	yes	—
733	#554	C₂²×C₁₃	1	4	yes	complemented
734	#554	C₂²×C₁₃	1	4	yes	complemented
735	#554	C₂²×C₁₃	1	4	yes	complemented
736	#554	C₂²×C₁₃	1	4	yes	complemented
737	#554	C₂²×C₁₃	1	4	yes	complemented
738	#553	C₂²×C₁₃	1	2	yes	—
739	#553	C₂²×C₁₃	1	2	yes	—
740	#553	C₂²×C₁₃	1	4	yes	complemented
741	#553	C₂²×C₁₃	1	4	yes	complemented
742	#552	C₂²×C₁₃	1	4	yes	—
743	#552	C₂²×C₁₃	1	4	yes	—
744	#552	C₂²×C₁₃	1	4	yes	—
745	#552	C₂²×C₁₃	1	4	yes	—
746	#552	C₂²×C₁₃	1	2	yes	—
747	#552	C₂²×C₁₃	1	2	yes	—
748	#552	C₂²×C₁₃	1	4	yes	—
749	#552	C₂²×C₁₃	1	8	yes	—
750	#552	C₂²×C₁₃	1	8	yes	—
751	#552	C₂²×C₁₃	1	8	yes	—
752	#552	C₂²×C₁₃	1	4	yes	complemented
753	#552	C₂²×C₁₃	1	4	yes	complemented
754	#552	C₂²×C₁₃	1	8	yes	complemented
755	#552	C₂²×C₁₃	1	4	yes	complemented
756	#552	C₂²×C₁₃	1	4	yes	complemented
757	#552	C₂²×C₁₃	1	8	yes	complemented
758	#552	C₂²×C₁₃	1	4	yes	complemented
759	#552	C₂²×C₁₃	1	4	yes	complemented
760	#552	C₂²×C₁₃	1	8	yes	complemented
761	#552	C₂²×C₁₃	1	8	yes	complemented
762	#552	C₂²×C₁₃	1	8	yes	complemented
763	#551	C₂²×C₁₃	1	4	yes	—
764	#551	C₂²×C₁₃	1	4	yes	—
765	#551	C₂²×C₁₃	1	8	yes	—
766	#551	C₂²×C₁₃	1	8	yes	—
767	#547	C₂²×C₁₃	1	2	yes	—
768	#547	C₂²×C₁₃	1	8	yes	—
769	#547	C₂²×C₁₃	1	4	yes	complemented
770	#546	C₂²×C₁₃	1	4	yes	—
771	#544	C₂²×C₁₃	1	1	yes	characteristic
772	#544	C₂²×C₁₃	1	1	yes	characteristic
773	#544	C₂²×C₁₃	1	2	yes	—
774	#544	C₂²×C₁₃	1	4	yes	—
775	#544	C₂²×C₁₃	1	1	yes	characteristic
776	#544	C₂²×C₁₃	1	2	yes	—
777	#544	C₂²×C₁₃	1	4	yes	—
778	#544	C₂²×C₁₃	1	4	yes	complemented
779	#544	C₂²×C₁₃	1	4	yes	complemented
780	#544	C₂²×C₁₃	1	4	yes	complemented
781	#544	C₂²×C₁₃	1	4	yes	complemented
782	#544	C₂²×C₁₃	1	4	yes	complemented
783	#544	C₂²×C₁₃	1	4	yes	complemented
784	#544	C₂²×C₁₃	1	4	yes	complemented
785	#544	C₂²×C₁₃	1	8	yes	complemented
786	#543	C₂²×C₁₃	1	4	yes	—
787	#542	C₂²×C₁₃	1	8	yes	—
788	#542	C₂²×C₁₃	1	4	yes	complemented
789	#542	C₂²×C₁₃	1	4	yes	complemented
790	#542	C₂²×C₁₃	1	4	yes	complemented
791	#542	C₂²×C₁₃	1	4	yes	complemented
792	#542	C₂²×C₁₃	1	4	yes	complemented
793	#542	C₂²×C₁₃	1	8	yes	complemented
794	#541	C₂²×C₁₃	1	4	yes	complemented
795	#541	C₂²×C₁₃	1	4	yes	complemented
796	#541	C₂²×C₁₃	1	4	yes	complemented
797	#541	C₂²×C₁₃	1	4	yes	complemented
798	#541	C₂²×C₁₃	1	4	yes	complemented
799	#541	C₂²×C₁₃	1	8	yes	complemented
800	#541	C₂²×C₁₃	1	8	yes	complemented
801	#541	C₂²×C₁₃	1	8	yes	complemented
802	#541	C₂²×C₁₃	1	8	yes	complemented
803	#541	C₂²×C₁₃	1	8	yes	complemented
804	#539	C₂²×C₁₃	1	4	yes	—
805	#539	C₂²×C₁₃	1	4	yes	—
806	#539	C₂²×C₁₃	1	8	yes	—
807	#539	C₂²×C₁₃	1	8	yes	—
808	#539	C₂²×C₁₃	1	8	yes	complemented
809	#538	C₂²×C₁₃	1	4	yes	—
810	#537	C₂²×C₁₃	1	1	yes	characteristic
811	#536	C₂²×C₁₃	1	2	yes	—
812	#536	C₂²×C₁₃	1	8	yes	—
813	#536	C₂²×C₁₃	1	4	yes	complemented
814	#533	C₂²×C₁₃	1	4	yes	—
815	#533	C₂²×C₁₃	1	2	yes	—
816	#533	C₂²×C₁₃	1	4	yes	—
817	#533	C₂²×C₁₃	1	4	yes	complemented
818	#533	C₂²×C₁₃	1	4	yes	complemented
819	#533	C₂²×C₁₃	1	4	yes	complemented
820	#533	C₂²×C₁₃	1	4	yes	complemented
821	#533	C₂²×C₁₃	1	4	yes	complemented
822	#533	C₂²×C₁₃	1	4	yes	complemented
823	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
824	#529	C₂²×C₁₃	1	4	yes	—
825	#529	C₂²×C₁₃	1	4	yes	—
826	#529	C₂²×C₁₃	1	4	yes	—
827	#529	C₂²×C₁₃	1	4	yes	—
828	#529	C₂²×C₁₃	1	4	yes	—
829	#529	C₂²×C₁₃	1	4	yes	complemented
830	#529	C₂²×C₁₃	1	4	yes	complemented
831	#529	C₂²×C₁₃	1	4	yes	complemented
832	C₂×#126	C₂²×C₁₃	1	2	yes	—
833	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
834	C₂×#125	C₂²×C₁₃	1	2	yes	—
835	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
836	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
837	#525	C₂²×C₁₃	1	2	yes	—
838	#525	C₂²×C₁₃	1	2	yes	—
839	#525	C₂²×C₁₃	1	4	yes	—
840	C₂×#123	C₂²×C₁₃	1	2	yes	—
841	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
842	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
843	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
844	#520	C₂²×C₁₃	1	2	yes	—
845	#520	C₂²×C₁₃	1	2	yes	—
846	#520	C₂²×C₁₃	1	4	yes	complemented
847	#519	C₂²×C₁₃	1	2	yes	—
848	#519	C₂²×C₁₃	1	4	yes	complemented
849	C₄×#41	C₂²×C₁₃	1	2	yes	—
850	C₄×#41	C₂²×C₁₃	1	4	yes	—
851	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
852	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
853	C₂×#117	C₂²×C₁₃	1	2	yes	—
854	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
855	C₂×#117	C₂²×C₁₃	1	2	yes	—
856	C₂×#117	C₂²×C₁₃	1	2	yes	—
857	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
858	C₂²×C₁₃	—	2	1	no	—
859	C₂²×C₁₃	—	2	1	no	—
860	C₂²×C₁₃	—	2	1	no	—
861	C₂²×C₁₃	—	2	1	no	—
862	C₂²×C₁₃	—	2	1	no	—
863	C₂²×C₁₃	—	2	2	no	—
864	C₂²×C₁₃	—	2	4	no	—
865	C₂²×C₁₃	—	2	1	no	—
866	C₂²×C₁₃	—	2	4	no	—
867	C₂²×C₁₃	—	2	2	no	—
868	C₂²×C₁₃	—	2	4	no	—
869	C₂²×C₁₃	—	2	2	no	—
870	C₂²×C₁₃	—	2	1	no	—
871	C₂²×C₁₃	—	4	4	no	—
872	C₂²×C₁₃	—	8	2	no	—
873	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
874	C₂²×C₁₃	#585	1	2	yes	—
875	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
876	C₄×C₁₃	—	2	1	no	—
877	C₄×C₁₃	—	2	1	no	—
878	C₄×C₁₃	—	2	2	no	—
879	C₄×C₁₃	—	2	4	no	—
880	C₄×C₁₃	—	2	4	no	—
881	C₄×C₁₃	—	2	4	no	—
882	C₄×C₁₃	—	2	4	no	—
883	C₄×C₁₃	—	2	4	no	—
884	C₄×C₁₃	—	2	4	no	—
885	C₄×C₁₃	—	2	2	no	—
886	C₄×C₁₃	—	2	4	no	—
887	C₄×C₁₃	—	2	1	no	—
888	C₄×C₁₃	—	2	4	no	—
889	C₄×C₁₃	—	2	4	no	—
890	C₄×C₁₃	—	2	4	no	—
891	C₄×C₁₃	—	2	4	no	—
892	C₄×C₁₃	—	2	1	no	—
893	C₄×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
894	C₂×#41	C₂³×C₁₃	1	2	yes	—
895	C₂×#41	C₂³×C₁₃	1	4	yes	—
896	C₂×#41	C₂³×C₁₃	1	4	yes	—
897	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
898	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
899	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
900	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
901	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
903	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
904	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
905	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
906	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
907	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
908	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
909	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
910	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
911	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
912	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
913	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
914	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
915	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
916	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
917	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
918	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
919	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
920	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
921	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
922	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
923	#126	C₂³×C₁₃	1	8	yes	—
924	#126	C₂³×C₁₃	1	8	yes	—
925	#126	C₂³×C₁₃	1	4	yes	—
926	#126	C₂³×C₁₃	1	4	yes	—
927	#126	C₂³×C₁₃	1	4	yes	—
928	#126	C₂³×C₁₃	1	4	yes	—
929	#126	C₂³×C₁₃	1	4	yes	—
930	#126	C₂³×C₁₃	1	4	yes	—
931	#126	C₂³×C₁₃	1	8	yes	—
932	#126	C₂³×C₁₃	1	8	yes	—
933	#126	C₂³×C₁₃	1	8	yes	—
934	#126	C₂³×C₁₃	1	8	yes	—
935	#126	C₂³×C₁₃	1	8	yes	—
936	#126	C₂³×C₁₃	1	8	yes	—
937	#126	C₂³×C₁₃	1	8	yes	—
938	#126	C₂³×C₁₃	1	8	yes	—
939	#126	C₂³×C₁₃	1	8	yes	—
940	#126	C₂³×C₁₃	1	8	yes	—
941	#126	C₂³×C₁₃	1	8	yes	—
942	#126	C₂³×C₁₃	1	8	yes	—
943	#126	C₂³×C₁₃	1	8	yes	—
944	#125	C₂³×C₁₃	1	4	yes	—
945	#125	C₂³×C₁₃	1	8	yes	—
946	#125	C₂³×C₁₃	1	8	yes	—
947	#125	C₂³×C₁₃	1	4	yes	—
948	#125	C₂³×C₁₃	1	4	yes	—
949	#125	C₂³×C₁₃	1	2	yes	—
950	#125	C₂³×C₁₃	1	4	yes	—
951	#125	C₂³×C₁₃	1	4	yes	—
952	#125	C₂³×C₁₃	1	8	yes	—
953	#125	C₂³×C₁₃	1	8	yes	—
954	#125	C₂³×C₁₃	1	8	yes	—
955	#125	C₂³×C₁₃	1	4	yes	—
956	#125	C₂³×C₁₃	1	8	yes	—
957	#125	C₂³×C₁₃	1	4	yes	—
958	#125	C₂³×C₁₃	1	4	yes	—
959	#125	C₂³×C₁₃	1	4	yes	—
960	#125	C₂³×C₁₃	1	4	yes	—
961	#125	C₂³×C₁₃	1	4	yes	—
962	#125	C₂³×C₁₃	1	4	yes	—
963	#125	C₂³×C₁₃	1	2	yes	—
964	#125	C₂³×C₁₃	1	8	yes	—
965	#125	C₂³×C₁₃	1	8	yes	—
966	#125	C₂³×C₁₃	1	8	yes	—
967	#125	C₂³×C₁₃	1	8	yes	—
968	#125	C₂³×C₁₃	1	8	yes	—
969	#125	C₂³×C₁₃	1	4	yes	—
970	#125	C₂³×C₁₃	1	4	yes	—
971	#125	C₂³×C₁₃	1	8	yes	—
972	#125	C₂³×C₁₃	1	8	yes	—
973	#125	C₂³×C₁₃	1	8	yes	—
974	#125	C₂³×C₁₃	1	8	yes	—
975	#125	C₂³×C₁₃	1	8	yes	—
976	#125	C₂³×C₁₃	1	8	yes	—
977	#125	C₂³×C₁₃	1	8	yes	—
978	#125	C₂³×C₁₃	1	8	yes	—
979	#125	C₂³×C₁₃	1	8	yes	—
980	#124	C₂³×C₁₃	1	4	yes	—
981	#124	C₂³×C₁₃	1	4	yes	—
982	#124	C₂³×C₁₃	1	4	yes	—
983	#124	C₂³×C₁₃	1	4	yes	—
984	#124	C₂³×C₁₃	1	4	yes	—
985	#124	C₂³×C₁₃	1	4	yes	—
986	#124	C₂³×C₁₃	1	8	yes	—
987	#124	C₂³×C₁₃	1	8	yes	—
988	#124	C₂³×C₁₃	1	8	yes	—
989	#123	C₂³×C₁₃	1	8	yes	—
990	#123	C₂³×C₁₃	1	8	yes	—
991	#123	C₂³×C₁₃	1	4	yes	—
992	#123	C₂³×C₁₃	1	8	yes	—
993	#123	C₂³×C₁₃	1	4	yes	—
994	#123	C₂³×C₁₃	1	4	yes	—
995	#123	C₂³×C₁₃	1	8	yes	—
996	#123	C₂³×C₁₃	1	4	yes	—
997	#123	C₂³×C₁₃	1	4	yes	—
998	#123	C₂³×C₁₃	1	4	yes	—
999	#123	C₂³×C₁₃	1	4	yes	—
1000	#123	C₂³×C₁₃	1	4	yes	—
1001	#123	C₂³×C₁₃	1	8	yes	—
1002	#123	C₂³×C₁₃	1	8	yes	—
1003	#123	C₂³×C₁₃	1	8	yes	—
1004	#123	C₂³×C₁₃	1	8	yes	—
1005	#123	C₂³×C₁₃	1	8	yes	—
1006	#123	C₂³×C₁₃	1	8	yes	—
1007	#123	C₂³×C₁₃	1	8	yes	—
1008	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1009	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1010	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1011	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1012	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1013	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1014	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1015	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1016	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1017	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1018	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1019	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1020	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1021	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1022	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1023	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1024	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1025	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1026	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1027	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1028	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1029	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1030	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1031	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1032	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1033	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1034	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1035	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1036	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1037	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1038	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1039	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1040	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1041	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1042	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1043	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1044	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1045	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1046	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1047	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1048	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1049	#121	C₂³×C₁₃	1	4	yes	—
1050	#121	C₂³×C₁₃	1	2	yes	—
1051	#121	C₂³×C₁₃	1	2	yes	—
1052	#121	C₂³×C₁₃	1	2	yes	—
1053	#121	C₂³×C₁₃	1	2	yes	—
1054	#121	C₂³×C₁₃	1	4	yes	—
1055	#121	C₂³×C₁₃	1	4	yes	—
1056	#121	C₂³×C₁₃	1	4	yes	—
1057	#121	C₂³×C₁₃	1	4	yes	—
1058	#121	C₂³×C₁₃	1	4	yes	—
1059	#121	C₂³×C₁₃	1	8	yes	—
1060	#120	C₂³×C₁₃	1	4	yes	—
1061	#120	C₂³×C₁₃	1	4	yes	—
1062	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1063	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1064	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1065	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1066	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1067	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1068	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1069	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1070	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1071	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1072	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1073	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1074	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1075	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1076	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1077	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1078	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1079	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1080	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1081	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1082	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1083	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1084	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1085	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1086	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1087	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1088	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1089	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1090	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1091	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1092	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1093	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1094	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1095	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1096	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1097	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1098	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1099	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1100	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1101	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1102	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1103	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1104	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1105	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1106	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1107	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1108	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1109	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1110	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1111	#117	C₂³×C₁₃	1	2	yes	—
1112	#117	C₂³×C₁₃	1	2	yes	—
1113	#117	C₂³×C₁₃	1	2	yes	—
1114	#117	C₂³×C₁₃	1	4	yes	—
1115	#117	C₂³×C₁₃	1	4	yes	—
1116	#117	C₂³×C₁₃	1	4	yes	—
1117	#117	C₂³×C₁₃	1	4	yes	—
1118	#117	C₂³×C₁₃	1	4	yes	—
1119	#117	C₂³×C₁₃	1	2	yes	—
1120	#117	C₂³×C₁₃	1	2	yes	—
1121	#117	C₂³×C₁₃	1	4	yes	—
1122	#117	C₂³×C₁₃	1	4	yes	—
1123	#117	C₂³×C₁₃	1	4	yes	—
1124	#117	C₂³×C₁₃	1	4	yes	—
1125	#117	C₂³×C₁₃	1	4	yes	—
1126	#117	C₂³×C₁₃	1	2	yes	—
1127	#117	C₂³×C₁₃	1	2	yes	—
1128	#117	C₂³×C₁₃	1	4	yes	—
1129	#117	C₂³×C₁₃	1	4	yes	—
1130	#117	C₂³×C₁₃	1	4	yes	—
1131	#117	C₂³×C₁₃	1	4	yes	—
1132	#117	C₂³×C₁₃	1	8	yes	—
1133	#117	C₂³×C₁₃	1	4	yes	—
1134	#117	C₂³×C₁₃	1	8	yes	—
1135	#117	C₂³×C₁₃	1	4	yes	—
1136	#117	C₂³×C₁₃	1	4	yes	—
1137	#117	C₂³×C₁₃	1	8	yes	—
1138	#117	C₂³×C₁₃	1	8	yes	—
1139	#117	C₂³×C₁₃	1	8	yes	—
1140	#117	C₂³×C₁₃	1	8	yes	—
1141	#117	C₂³×C₁₃	1	8	yes	—
1142	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1144	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1145	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1146	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1147	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1149	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1150	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1151	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1152	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1153	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1154	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1156	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1157	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1158	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1159	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1160	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1161	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1162	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1163	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1164	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1166	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1167	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1168	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1169	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1171	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1172	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1173	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1174	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1175	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1176	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1177	C₂×C₁₃	—	2	2	no	—
1178	C₂×C₁₃	—	2	2	no	—
1179	C₂×C₁₃	—	4	4	no	—
1180	C₂×C₁₃	—	4	1	no	—
1181	C₂×C₁₃	—	4	2	no	—
1182	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1183	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1184	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1185	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1187	#41	—	2	8	no	—
1188	#41	—	4	8	no	—
1189	#41	—	4	8	no	—
1190	C₂×Q₈	—	2	4	no	—
1191	C₂×Q₈	—	4	8	no	—
1192	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1193	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1194	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1195	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1196	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1197	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1198	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1199	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1200	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1201	C₂×D₄	—	4	2	no	—
1202	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1203	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1204	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1205	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1206	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1207	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1208	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1209	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1210	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1211	C₂²×C₄	—	2	4	no	—
1212	C₂²×C₄	—	2	4	no	—
1213	C₂²×C₄	—	4	4	no	—
1214	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1216	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1217	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1218	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1219	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1220	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1222	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1223	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1224	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1225	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1226	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1227	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1228	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1229	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1230	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1232	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1233	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1234	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1235	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1236	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1237	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1238	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1239	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1240	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1241	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1242	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1243	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1244	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1245	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1246	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1247	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1248	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1249	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1250	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1251	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1252	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1253	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1254	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1255	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1256	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1257	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1258	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1259	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1260	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1261	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1262	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1263	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1264	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1265	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1266	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1267	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1268	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1269	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1270	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1271	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1272	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1273	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1274	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1275	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1276	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1277	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1278	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1279	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1280	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1281	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1282	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1283	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1284	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1285	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1286	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1287	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1288	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1289	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1290	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1291	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1292	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1293	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1294	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1295	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1296	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1297	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1298	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1299	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1300	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1301	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1302	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1303	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1304	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1305	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1306	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1307	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1308	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1309	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1310	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1311	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1312	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1313	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1314	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1315	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1316	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1317	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1318	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1319	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1320	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1321	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1322	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1323	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1324	C₄²	C₂⁴×C₁₃	1	4	yes	—
1325	C₄²	C₂⁴×C₁₃	1	2	yes	—
1326	C₄²	C₂⁴×C₁₃	1	4	yes	—
1327	C₄²	C₂⁴×C₁₃	1	4	yes	—
1328	C₄²	C₂⁴×C₁₃	1	4	yes	—
1329	C₄²	C₂⁴×C₁₃	1	4	yes	—
1330	C₄²	C₂⁴×C₁₃	1	4	yes	—
1331	C₄²	C₂⁴×C₁₃	1	4	yes	—
1332	C₄²	C₂⁴×C₁₃	1	4	yes	—
1333	C₄²	C₂⁴×C₁₃	1	2	yes	—
1334	C₄²	C₂⁴×C₁₃	1	4	yes	—
1335	C₄²	C₂⁴×C₁₃	1	4	yes	—
1336	C₄²	C₂⁴×C₁₃	1	4	yes	—
1337	C₄²	C₂⁴×C₁₃	1	4	yes	—
1338	C₄²	C₂⁴×C₁₃	1	4	yes	—
1339	C₄²	C₂⁴×C₁₃	1	8	yes	—
1340	C₄²	C₂⁴×C₁₃	1	8	yes	—
1341	C₄²	C₂⁴×C₁₃	1	8	yes	—
1342	C₄²	C₂⁴×C₁₃	1	8	yes	—
1343	C₁₃	#62928	1	1	yes	characteristic, direct product factor, Sylow
1344	C₂³	—	2	2	no	—
1345	C₂³	—	2	2	no	—
1346	C₂³	—	2	2	no	—
1347	C₂³	—	4	1	no	—
1348	C₂³	—	4	1	no	—
1349	C₂³	—	4	1	no	—
1350	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1351	C₂³	C₂⁵×C₁₃	1	2	yes	—
1352	C₂³	C₂⁵×C₁₃	1	4	yes	—
1353	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1354	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1355	Q₈	—	2	8	no	—
1356	Q₈	—	2	4	no	—
1357	Q₈	—	4	8	no	—
1358	Q₈	—	4	4	no	—
1359	Q₈	—	4	4	no	—
1360	Q₈	—	4	4	no	—
1361	Q₈	—	4	4	no	—
1362	Q₈	—	4	4	no	—
1363	Q₈	—	4	8	no	—
1364	D₄	—	2	8	no	—
1365	D₄	—	2	4	no	—
1366	D₄	—	2	8	no	—
1367	D₄	—	2	4	no	—
1368	D₄	—	4	2	no	—
1369	D₄	—	4	4	no	—
1370	D₄	—	4	4	no	—
1371	D₄	—	4	4	no	—
1372	D₄	—	4	4	no	—
1373	C₂×C₄	—	2	2	no	—
1374	C₂×C₄	—	2	2	no	—
1375	C₂×C₄	—	2	4	no	—
1376	C₂×C₄	—	2	8	no	—
1377	C₂×C₄	—	2	8	no	—
1378	C₂×C₄	—	2	4	no	—
1379	C₂×C₄	—	2	4	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	4	no	—
1382	C₂×C₄	—	2	8	no	—
1383	C₂×C₄	—	4	2	no	—
1384	C₂×C₄	—	4	4	no	—
1385	C₂×C₄	—	4	2	no	—
1386	C₂×C₄	—	4	1	no	—
1387	C₂×C₄	—	4	4	no	—
1388	C₂×C₄	—	4	1	no	—
1389	C₂×C₄	—	4	4	no	—
1390	C₂×C₄	—	4	8	no	—
1391	C₂×C₄	—	4	2	no	—
1392	C₂×C₄	—	4	4	no	—
1393	C₂×C₄	—	4	8	no	—
1394	C₂×C₄	—	4	4	no	—
1395	C₂×C₄	—	4	4	no	—
1396	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1397	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1398	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1399	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1400	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1401	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1402	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1403	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1404	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1405	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1406	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1407	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1408	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1409	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1410	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1411	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1412	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1413	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1414	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1415	C₂²	—	2	1	no	—
1416	C₂²	—	2	1	no	—
1417	C₂²	—	2	1	no	—
1418	C₂²	—	2	1	no	—
1419	C₂²	—	2	1	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	4	no	—
1422	C₂²	—	2	1	no	—
1423	C₂²	—	2	4	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	4	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	1	no	—
1428	C₂²	—	4	4	no	—
1429	C₂²	—	8	2	no	—
1430	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1431	C₂²	C₁₃×#585	1	2	yes	—
1432	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1433	C₄	—	2	1	no	—
1434	C₄	—	2	1	no	—
1435	C₄	—	2	2	no	—
1436	C₄	—	2	4	no	—
1437	C₄	—	2	4	no	—
1438	C₄	—	2	4	no	—
1439	C₄	—	2	4	no	—
1440	C₄	—	2	4	no	—
1441	C₄	—	2	4	no	—
1442	C₄	—	2	2	no	—
1443	C₄	—	2	4	no	—
1444	C₄	—	2	1	no	—
1445	C₄	—	2	4	no	—
1446	C₄	—	2	4	no	—
1447	C₄	—	2	4	no	—
1448	C₄	—	2	4	no	—
1449	C₄	—	2	1	no	—
1450	C₄	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1451	C₂	—	2	2	no	—
1452	C₂	—	2	2	no	—
1453	C₂	—	4	1	no	—
1454	C₂	—	4	2	no	—
1455	C₂	—	4	4	no	—
1456	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1457	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1458	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×#3563	C₂	semidirect
5. C₁₃×#3563	C₂	semidirect
6. C₁₃×#3563	C₂	semidirect
7. C₁₃×#3555	C₂	semidirect
8. C₁₃×#3544	C₂	semidirect
9. C₁₃×#3535	C₂	semidirect
10. C₁₃×#3515	C₂	semidirect
11. C₁₃×#3509	C₂	semidirect
12. C₁₃×#3504	C₂	semidirect
13. C₁₃×#3502	C₂	semidirect
14. C₁₃×#3495	C₂	semidirect
15. C₁₃×#3495	C₂	semidirect
16. C₁₃×#3495	C₂	semidirect
17. C₁₃×#3493	C₂	semidirect
18. C₁₃×#3492	C₂	semidirect
19. C₁₃×#3475	C₂	semidirect
20. C₂×C₁₃×#552	C₂	semidirect
21. C₁₃×#3461	C₂	semidirect
22. C₁₃×#3458	C₂	semidirect
23. C₂×C₁₃×#544	C₂	semidirect
24. C₁₃×#564	C₂²	semidirect
26. C₁₃×#563	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#563	C₂²	semidirect
30. Q₈²×C₁₃	C₂²	semidirect
31. C₁₃×#557	C₂²	semidirect
32. C₁₃×#557	C₂²	semidirect
33. C₁₃×#557	C₂²	semidirect
34. C₁₃×#557	C₂²	semidirect
35. C₁₃×#557	C₂²	semidirect
36. C₁₃×#557	C₂²	semidirect
38. C₁₃×#556	C₂²	semidirect
39. C₁₃×#556	C₂²	semidirect
40. C₁₃×#556	C₂²	semidirect
41. C₁₃×#556	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
44. 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×#554	C₂²	semidirect
55. C₁₃×#553	C₂²	semidirect
56. 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
73. C₁₃×#552	C₂²	semidirect
74. C₁₃×#552	C₂²	semidirect
75. C₁₃×#552	C₂²	semidirect
76. C₁₃×#552	C₂²	semidirect
77. C₁₃×#552	C₂²	semidirect
84. 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
100. C₁₃×#544	C₂²	semidirect
103. C₁₃×#542	C₂²	semidirect
104. C₁₃×#542	C₂²	semidirect
105. C₁₃×#542	C₂²	semidirect
106. C₁₃×#542	C₂²	semidirect
107. C₁₃×#542	C₂²	semidirect
108. C₁₃×#542	C₂²	semidirect
109. C₁₃×#541	C₂²	semidirect
110. C₁₃×#541	C₂²	semidirect
111. C₁₃×#541	C₂²	semidirect
112. C₁₃×#541	C₂²	semidirect
113. C₁₃×#541	C₂²	semidirect
114. C₁₃×#541	C₂²	semidirect
115. C₁₃×#541	C₂²	semidirect
116. C₁₃×#541	C₂²	semidirect
117. C₁₃×#541	C₂²	semidirect
118. C₁₃×#541	C₂²	semidirect
123. C₁₃×#539	C₂²	semidirect
128. C₁₃×#536	C₂²	semidirect
132. C₁₃×#533	C₂²	semidirect
133. C₁₃×#533	C₂²	semidirect
134. C₁₃×#533	C₂²	semidirect
135. C₁₃×#533	C₂²	semidirect
136. C₁₃×#533	C₂²	semidirect
137. C₁₃×#533	C₂²	semidirect
138. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
144. C₁₃×#529	C₂²	semidirect
145. C₁₃×#529	C₂²	semidirect
146. C₁₃×#529	C₂²	semidirect
150. C₂×C₁₃×#125	C₂²	semidirect
151. C₂×C₁₃×#125	C₂²	semidirect
161. C₁₃×#520	C₂²	semidirect
163. C₁₃×#519	C₂²	semidirect
456. #62928	C₁₃	direct (N × H)
615. #3565	C₂×C₁₃	semidirect
616. #3565	C₂×C₁₃	semidirect
617. #3564	C₂×C₁₃	semidirect
618. #3563	C₂×C₁₃	semidirect
619. #3563	C₂×C₁₃	semidirect
620. #3563	C₂×C₁₃	semidirect
621. #3555	C₂×C₁₃	semidirect
622. #3544	C₂×C₁₃	semidirect
623. #3535	C₂×C₁₃	semidirect
624. #3515	C₂×C₁₃	semidirect
625. #3509	C₂×C₁₃	semidirect
626. #3504	C₂×C₁₃	semidirect
627. #3502	C₂×C₁₃	semidirect
628. #3495	C₂×C₁₃	semidirect
629. #3495	C₂×C₁₃	semidirect
630. #3495	C₂×C₁₃	semidirect
631. #3493	C₂×C₁₃	semidirect
632. #3492	C₂×C₁₃	semidirect
633. #3475	C₂×C₁₃	semidirect
634. C₂×#552	C₂×C₁₃	semidirect
635. #3461	C₂×C₁₃	semidirect
636. #3458	C₂×C₁₃	semidirect
637. C₂×#544	C₂×C₁₃	semidirect
709. #564	C₂²×C₁₃	semidirect
711. #563	C₂²×C₁₃	semidirect
712. #563	C₂²×C₁₃	semidirect
713. #563	C₂²×C₁₃	semidirect
715. Q₈²	C₂²×C₁₃	semidirect
716. #557	C₂²×C₁₃	semidirect
717. #557	C₂²×C₁₃	semidirect
718. #557	C₂²×C₁₃	semidirect
719. #557	C₂²×C₁₃	semidirect
720. #557	C₂²×C₁₃	semidirect
721. #557	C₂²×C₁₃	semidirect
723. #556	C₂²×C₁₃	semidirect
724. #556	C₂²×C₁₃	semidirect
725. #556	C₂²×C₁₃	semidirect
726. #556	C₂²×C₁₃	semidirect
727. #556	C₂²×C₁₃	semidirect
729. #555	C₂²×C₁₃	semidirect
733. #554	C₂²×C₁₃	semidirect
734. #554	C₂²×C₁₃	semidirect
735. #554	C₂²×C₁₃	semidirect
736. #554	C₂²×C₁₃	semidirect
737. #554	C₂²×C₁₃	semidirect
740. #553	C₂²×C₁₃	semidirect
741. #553	C₂²×C₁₃	semidirect
752. #552	C₂²×C₁₃	semidirect
753. #552	C₂²×C₁₃	semidirect
754. #552	C₂²×C₁₃	semidirect
755. #552	C₂²×C₁₃	semidirect
756. #552	C₂²×C₁₃	semidirect
757. #552	C₂²×C₁₃	semidirect
758. #552	C₂²×C₁₃	semidirect
759. #552	C₂²×C₁₃	semidirect
760. #552	C₂²×C₁₃	semidirect
761. #552	C₂²×C₁₃	semidirect
762. #552	C₂²×C₁₃	semidirect
769. #547	C₂²×C₁₃	semidirect
778. #544	C₂²×C₁₃	semidirect
779. #544	C₂²×C₁₃	semidirect
780. #544	C₂²×C₁₃	semidirect
781. #544	C₂²×C₁₃	semidirect
782. #544	C₂²×C₁₃	semidirect
783. #544	C₂²×C₁₃	semidirect
784. #544	C₂²×C₁₃	semidirect
785. #544	C₂²×C₁₃	semidirect
788. #542	C₂²×C₁₃	semidirect
789. #542	C₂²×C₁₃	semidirect
790. #542	C₂²×C₁₃	semidirect
791. #542	C₂²×C₁₃	semidirect
792. #542	C₂²×C₁₃	semidirect
793. #542	C₂²×C₁₃	semidirect
794. #541	C₂²×C₁₃	semidirect
795. #541	C₂²×C₁₃	semidirect
796. #541	C₂²×C₁₃	semidirect
797. #541	C₂²×C₁₃	semidirect
798. #541	C₂²×C₁₃	semidirect
799. #541	C₂²×C₁₃	semidirect
800. #541	C₂²×C₁₃	semidirect
801. #541	C₂²×C₁₃	semidirect
802. #541	C₂²×C₁₃	semidirect
803. #541	C₂²×C₁₃	semidirect
808. #539	C₂²×C₁₃	semidirect
813. #536	C₂²×C₁₃	semidirect
817. #533	C₂²×C₁₃	semidirect
818. #533	C₂²×C₁₃	semidirect
819. #533	C₂²×C₁₃	semidirect
820. #533	C₂²×C₁₃	semidirect
821. #533	C₂²×C₁₃	semidirect
822. #533	C₂²×C₁₃	semidirect
823. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
829. #529	C₂²×C₁₃	semidirect
830. #529	C₂²×C₁₃	semidirect
831. #529	C₂²×C₁₃	semidirect
835. C₂×#125	C₂²×C₁₃	semidirect
836. C₂×#125	C₂²×C₁₃	semidirect
846. #520	C₂²×C₁₃	semidirect
848. #519	C₂²×C₁₃	semidirect
1343. C₁₃	#62928	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×#3555	2
C₁₃×#3544	2
C₁₃×#3535	2
C₁₃×#3515	2
C₁₃×#3509	2
C₁₃×#3504	2
C₁₃×#3502	2
C₁₃×#3495	2
C₁₃×#3493	2
C₁₃×#3492	2
C₁₃×#3475	2
C₂×C₁₃×#552	2
C₁₃×#3461	2
C₁₃×#3458	2
C₂×C₁₃×#544	2
#62928	13

Subgroups — C13×#62928 #15749267

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62928 #15749267