Subgroups — C₁₃×#62902 #15749241

Order 3328.

6590 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3564	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3563	C₂	1	2	yes	maximal, complemented
3	C₁₃×#3553	C₂	1	8	yes	maximal, complemented
4	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3541	C₂	1	8	yes	maximal, complemented
6	C₁₃×#3541	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3536	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3535	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3520	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3516	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3505	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3505	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3501	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3492	C₂	1	4	yes	maximal, complemented
17	C₂×C₁₃×#554	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3459	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3459	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#564	C₂²	1	4	yes	complemented
22	C₁₃×#563	C₂²	1	8	yes	complemented
23	C₁₃×#563	C₂²	1	4	yes	complemented
24	C₁₃×#563	C₂²	1	8	yes	complemented
25	C₁₃×#563	C₂²	1	8	yes	complemented
26	C₁₃×#562	C₂²	1	8	yes	complemented
27	C₁₃×#562	C₂²	1	8	yes	complemented
28	C₁₃×#557	C₂²	1	4	yes	complemented
29	C₁₃×#556	C₂²	1	2	yes	complemented
30	C₁₃×#556	C₂²	1	4	yes	complemented
31	C₁₃×#556	C₂²	1	8	yes	complemented
32	C₁₃×#554	C₂²	1	4	yes	complemented
33	C₁₃×#554	C₂²	1	8	yes	complemented
34	C₁₃×#554	C₂²	1	4	yes	complemented
35	C₁₃×#554	C₂²	1	4	yes	complemented
36	C₁₃×#554	C₂²	1	8	yes	complemented
37	C₁₃×#554	C₂²	1	8	yes	complemented
38	C₁₃×#554	C₂²	1	8	yes	complemented
39	C₁₃×#554	C₂²	1	8	yes	complemented
40	C₁₃×#554	C₂²	1	4	yes	complemented
41	C₁₃×#554	C₂²	1	8	yes	complemented
42	C₁₃×#554	C₂²	1	4	yes	complemented
43	C₁₃×#553	C₂²	1	4	yes	complemented
44	C₁₃×#553	C₂²	1	8	yes	complemented
45	C₁₃×#553	C₂²	1	8	yes	complemented
46	C₁₃×#553	C₂²	1	8	yes	complemented
47	C₁₃×#553	C₂²	1	8	yes	complemented
48	C₁₃×#553	C₂²	1	4	yes	complemented
49	C₁₃×#553	C₂²	1	8	yes	complemented
50	C₁₃×#553	C₂²	1	4	yes	complemented
51	C₁₃×#552	C₂²	1	4	yes	complemented
52	C₁₃×#552	C₂²	1	8	yes	complemented
53	C₁₃×#552	C₂²	1	8	yes	complemented
54	C₁₃×#552	C₂²	1	4	yes	complemented
55	C₁₃×#552	C₂²	1	8	yes	complemented
56	C₁₃×#552	C₂²	1	8	yes	complemented
57	C₁₃×#552	C₂²	1	4	yes	complemented
58	C₁₃×#552	C₂²	1	4	yes	complemented
59	C₁₃×#551	C₂²	1	8	yes	complemented
60	C₁₃×#551	C₂²	1	8	yes	complemented
61	C₁₃×#551	C₂²	1	8	yes	complemented
62	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
63	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
64	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
65	C₁₃×#548	C₂²	1	4	yes	complemented
66	C₁₃×#548	C₂²	1	4	yes	complemented
67	C₁₃×#548	C₂²	1	8	yes	complemented
68	C₁₃×#548	C₂²	1	4	yes	complemented
69	C₁₃×#547	C₂²	1	2	yes	complemented
70	C₁₃×#547	C₂²	1	2	yes	complemented
71	C₁₃×#547	C₂²	1	8	yes	complemented
72	C₁₃×#547	C₂²	1	4	yes	complemented
73	C₁₃×#546	C₂²	1	4	yes	complemented
74	C₁₃×#546	C₂²	1	8	yes	complemented
75	C₁₃×#544	C₂²	1	4	yes	complemented
76	C₁₃×#544	C₂²	1	2	yes	complemented
77	C₁₃×#544	C₂²	1	4	yes	complemented
78	C₁₃×#544	C₂²	1	2	yes	complemented
79	C₁₃×#543	C₂²	1	1	yes	characteristic
80	C₁₃×#543	C₂²	1	2	yes	—
81	C₁₃×#543	C₂²	1	2	yes	complemented
82	C₁₃×#543	C₂²	1	4	yes	complemented
83	C₁₃×#542	C₂²	1	4	yes	complemented
84	C₁₃×#542	C₂²	1	8	yes	complemented
85	C₁₃×#542	C₂²	1	4	yes	complemented
86	C₁₃×#542	C₂²	1	8	yes	complemented
87	C₁₃×#542	C₂²	1	4	yes	complemented
88	C₁₃×#541	C₂²	1	8	yes	complemented
89	C₁₃×#541	C₂²	1	4	yes	complemented
90	C₁₃×#541	C₂²	1	8	yes	complemented
91	C₁₃×#541	C₂²	1	4	yes	complemented
92	C₁₃×#541	C₂²	1	8	yes	complemented
93	C₁₃×#539	C₂²	1	4	yes	—
94	C₁₃×#539	C₂²	1	2	yes	—
95	C₁₃×#539	C₂²	1	8	yes	complemented
96	C₁₃×#539	C₂²	1	8	yes	complemented
97	C₁₃×#539	C₂²	1	8	yes	complemented
98	C₁₃×#539	C₂²	1	4	yes	complemented
99	C₁₃×#539	C₂²	1	8	yes	complemented
100	C₁₃×#539	C₂²	1	8	yes	complemented
101	C₁₃×#539	C₂²	1	8	yes	complemented
102	C₁₃×#539	C₂²	1	4	yes	complemented
103	C₁₃×#539	C₂²	1	4	yes	complemented
104	C₁₃×#538	C₂²	1	2	yes	—
105	C₁₃×#538	C₂²	1	4	yes	—
106	C₁₃×#538	C₂²	1	8	yes	complemented
107	C₁₃×#538	C₂²	1	4	yes	complemented
108	C₁₃×#538	C₂²	1	4	yes	complemented
109	C₁₃×#538	C₂²	1	8	yes	complemented
110	C₁₃×#537	C₂²	1	4	yes	complemented
111	C₁₃×#537	C₂²	1	4	yes	complemented
112	C₁₃×#536	C₂²	1	8	yes	complemented
113	C₁₃×#536	C₂²	1	2	yes	complemented
114	C₁₃×#534	C₂²	1	1	yes	characteristic
115	C₁₃×#534	C₂²	1	4	yes	—
116	C₁₃×#534	C₂²	1	2	yes	—
117	C₁₃×#533	C₂²	1	2	yes	complemented
118	C₁₃×#533	C₂²	1	4	yes	complemented
119	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
120	C₁₃×#529	C₂²	1	2	yes	—
121	C₁₃×#529	C₂²	1	4	yes	—
122	C₁₃×#529	C₂²	1	4	yes	complemented
123	C₁₃×#529	C₂²	1	4	yes	complemented
124	C₁₃×#529	C₂²	1	8	yes	complemented
125	C₁₃×#529	C₂²	1	8	yes	complemented
126	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
127	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
128	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#525	C₂²	1	4	yes	—
130	C₁₃×#525	C₂²	1	2	yes	—
131	C₁₃×#525	C₂²	1	4	yes	complemented
132	C₁₃×#525	C₂²	1	8	yes	complemented
133	C₁₃×#525	C₂²	1	4	yes	complemented
134	C₁₃×#525	C₂²	1	8	yes	complemented
135	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
136	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
137	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
138	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
139	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
140	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
141	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
142	C₂×C₁₃×#121	C₂²	1	2	yes	—
143	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
144	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#520	C₂²	1	4	yes	complemented
146	C₁₃×#520	C₂²	1	2	yes	complemented
147	C₁₃×#519	C₂²	1	2	yes	complemented
148	C₁₃×#518	C₂²	1	2	yes	—
149	C₁₃×#518	C₂²	1	4	yes	—
150	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
151	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
152	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
153	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
154	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
155	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
157	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
158	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
159	C₂×C₁₃×#41	C₂³	1	2	yes	—
160	C₂×C₁₃×#41	C₂³	1	4	yes	—
161	C₂×C₁₃×#41	C₂³	1	4	yes	—
162	C₂×C₁₃×#41	C₂³	1	8	yes	—
163	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
164	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
165	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
166	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
167	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
168	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
169	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
170	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
171	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
172	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
173	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
174	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
175	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
176	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
177	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
178	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
179	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
180	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
181	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
182	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
183	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
184	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
185	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
186	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
187	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
188	C₁₃×#126	C₂³	1	8	yes	—
189	C₁₃×#126	C₂³	1	8	yes	—
190	C₁₃×#126	C₂³	1	4	yes	—
191	C₁₃×#126	C₂³	1	8	yes	—
192	C₁₃×#126	C₂³	1	8	yes	—
193	C₁₃×#126	C₂³	1	4	yes	—
194	C₁₃×#126	C₂³	1	8	yes	—
195	C₁₃×#126	C₂³	1	4	yes	—
196	C₁₃×#126	C₂³	1	8	yes	—
197	C₁₃×#126	C₂³	1	8	yes	—
198	C₁₃×#126	C₂³	1	8	yes	—
199	C₁₃×#126	C₂³	1	8	yes	—
200	C₁₃×#126	C₂³	1	8	yes	—
201	C₁₃×#126	C₂³	1	8	yes	—
202	C₁₃×#126	C₂³	1	8	yes	—
203	C₁₃×#126	C₂³	1	8	yes	—
204	C₁₃×#126	C₂³	1	8	yes	—
205	C₁₃×#125	C₂³	1	8	yes	—
206	C₁₃×#125	C₂³	1	8	yes	—
207	C₁₃×#125	C₂³	1	8	yes	—
208	C₁₃×#125	C₂³	1	8	yes	—
209	C₁₃×#125	C₂³	1	4	yes	—
210	C₁₃×#125	C₂³	1	4	yes	—
211	C₁₃×#125	C₂³	1	4	yes	—
212	C₁₃×#125	C₂³	1	2	yes	—
213	C₁₃×#125	C₂³	1	4	yes	—
214	C₁₃×#125	C₂³	1	8	yes	—
215	C₁₃×#125	C₂³	1	8	yes	—
216	C₁₃×#125	C₂³	1	4	yes	—
217	C₁₃×#125	C₂³	1	4	yes	—
218	C₁₃×#125	C₂³	1	8	yes	—
219	C₁₃×#125	C₂³	1	8	yes	—
220	C₁₃×#125	C₂³	1	8	yes	—
221	C₁₃×#125	C₂³	1	8	yes	—
222	C₁₃×#125	C₂³	1	8	yes	—
223	C₁₃×#125	C₂³	1	8	yes	—
224	C₁₃×#125	C₂³	1	8	yes	—
225	C₁₃×#124	C₂³	1	4	yes	—
226	C₁₃×#124	C₂³	1	2	yes	—
227	C₁₃×#124	C₂³	1	4	yes	—
228	C₁₃×#124	C₂³	1	8	yes	—
229	C₁₃×#124	C₂³	1	4	yes	—
230	C₁₃×#124	C₂³	1	8	yes	—
231	C₁₃×#124	C₂³	1	8	yes	—
232	C₁₃×#124	C₂³	1	8	yes	—
233	C₁₃×#124	C₂³	1	8	yes	—
234	C₁₃×#123	C₂³	1	8	yes	—
235	C₁₃×#123	C₂³	1	8	yes	—
236	C₁₃×#123	C₂³	1	8	yes	—
237	C₁₃×#123	C₂³	1	4	yes	—
238	C₁₃×#123	C₂³	1	4	yes	—
239	C₁₃×#123	C₂³	1	8	yes	—
240	C₁₃×#123	C₂³	1	4	yes	—
241	C₁₃×#123	C₂³	1	8	yes	—
242	C₁₃×#123	C₂³	1	8	yes	—
243	C₁₃×#123	C₂³	1	8	yes	—
244	C₁₃×#123	C₂³	1	8	yes	—
245	C₁₃×#123	C₂³	1	4	yes	—
246	C₁₃×#123	C₂³	1	8	yes	—
247	C₁₃×#123	C₂³	1	4	yes	—
248	C₁₃×#123	C₂³	1	4	yes	—
249	C₁₃×#123	C₂³	1	8	yes	—
250	C₁₃×#123	C₂³	1	8	yes	—
251	C₁₃×#123	C₂³	1	8	yes	—
252	C₁₃×#123	C₂³	1	8	yes	—
253	C₁₃×#123	C₂³	1	8	yes	—
254	C₁₃×#123	C₂³	1	8	yes	—
255	C₁₃×#123	C₂³	1	8	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
261	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
262	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
263	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
267	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
268	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
270	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
271	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
272	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
273	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
274	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
275	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
276	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
277	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
278	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
279	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
280	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
281	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
282	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
283	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
285	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
286	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
287	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
288	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
289	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
290	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
291	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
292	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
293	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
294	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
295	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
296	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
297	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
298	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
299	C₁₃×#121	C₂³	1	4	yes	—
300	C₁₃×#121	C₂³	1	8	yes	—
301	C₁₃×#121	C₂³	1	8	yes	—
302	C₁₃×#121	C₂³	1	4	yes	—
303	C₁₃×#121	C₂³	1	4	yes	—
304	C₁₃×#121	C₂³	1	4	yes	—
305	C₁₃×#121	C₂³	1	2	yes	—
306	C₁₃×#121	C₂³	1	2	yes	—
307	C₁₃×#121	C₂³	1	2	yes	—
308	C₁₃×#121	C₂³	1	4	yes	—
309	C₁₃×#121	C₂³	1	8	yes	—
310	C₁₃×#121	C₂³	1	4	yes	—
311	C₁₃×#121	C₂³	1	8	yes	—
312	C₁₃×#121	C₂³	1	8	yes	—
313	C₁₃×#121	C₂³	1	4	yes	—
314	C₁₃×#121	C₂³	1	4	yes	—
315	C₁₃×#121	C₂³	1	4	yes	—
316	C₁₃×#121	C₂³	1	8	yes	—
317	C₁₃×#121	C₂³	1	8	yes	—
318	C₁₃×#121	C₂³	1	8	yes	—
319	C₁₃×#121	C₂³	1	8	yes	—
320	C₁₃×#120	C₂³	1	4	yes	—
321	C₁₃×#120	C₂³	1	8	yes	—
322	C₁₃×#120	C₂³	1	4	yes	—
323	C₁₃×#120	C₂³	1	4	yes	—
324	C₁₃×#120	C₂³	1	8	yes	—
325	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
326	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
327	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
328	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
329	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
330	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
331	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
332	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
333	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
334	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
335	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
336	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
337	C₄×D₄×C₁₃	C₂³	1	4	yes	—
338	C₄×D₄×C₁₃	C₂³	1	8	yes	—
339	C₄×D₄×C₁₃	C₂³	1	4	yes	—
340	C₄×D₄×C₁₃	C₂³	1	4	yes	—
341	C₄×D₄×C₁₃	C₂³	1	8	yes	—
342	C₄×D₄×C₁₃	C₂³	1	8	yes	—
343	C₄×D₄×C₁₃	C₂³	1	8	yes	—
344	C₄×D₄×C₁₃	C₂³	1	4	yes	—
345	C₄×D₄×C₁₃	C₂³	1	8	yes	—
346	C₄×D₄×C₁₃	C₂³	1	8	yes	—
347	C₄×D₄×C₁₃	C₂³	1	4	yes	—
348	C₄×D₄×C₁₃	C₂³	1	4	yes	—
349	C₄×D₄×C₁₃	C₂³	1	2	yes	—
350	C₄×D₄×C₁₃	C₂³	1	4	yes	—
351	C₄×D₄×C₁₃	C₂³	1	2	yes	—
352	C₄×D₄×C₁₃	C₂³	1	8	yes	—
353	C₄×D₄×C₁₃	C₂³	1	8	yes	—
354	C₄×D₄×C₁₃	C₂³	1	8	yes	—
355	C₄×D₄×C₁₃	C₂³	1	8	yes	—
356	C₄×D₄×C₁₃	C₂³	1	8	yes	—
357	C₄×D₄×C₁₃	C₂³	1	8	yes	—
358	C₄×D₄×C₁₃	C₂³	1	8	yes	—
359	C₄×D₄×C₁₃	C₂³	1	4	yes	—
360	C₄×D₄×C₁₃	C₂³	1	8	yes	—
361	C₄×D₄×C₁₃	C₂³	1	8	yes	—
362	C₄×D₄×C₁₃	C₂³	1	4	yes	—
363	C₄×D₄×C₁₃	C₂³	1	4	yes	—
364	C₄×D₄×C₁₃	C₂³	1	2	yes	—
365	C₄×D₄×C₁₃	C₂³	1	8	yes	—
366	C₄×D₄×C₁₃	C₂³	1	8	yes	—
367	C₁₃×#117	C₂³	1	2	yes	—
368	C₁₃×#117	C₂³	1	2	yes	—
369	C₁₃×#117	C₂³	1	4	yes	—
370	C₁₃×#117	C₂³	1	8	yes	—
371	C₁₃×#117	C₂³	1	4	yes	—
372	C₁₃×#117	C₂³	1	2	yes	—
373	C₁₃×#117	C₂³	1	8	yes	—
374	C₁₃×#117	C₂³	1	4	yes	—
375	C₁₃×#117	C₂³	1	4	yes	—
376	C₁₃×#117	C₂³	1	8	yes	—
377	C₁₃×#117	C₂³	1	4	yes	—
378	C₁₃×#117	C₂³	1	8	yes	—
379	C₁₃×#117	C₂³	1	8	yes	—
380	C₁₃×#117	C₂³	1	8	yes	—
381	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
382	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
383	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
384	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
385	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
386	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
387	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
388	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
389	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
390	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
391	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
392	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
394	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
395	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
396	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
398	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
399	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
400	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
401	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
402	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
403	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
404	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
405	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
406	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
407	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
408	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
409	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
410	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
411	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
412	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
413	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
414	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
415	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
416	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
417	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
418	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
419	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
420	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
421	#62902	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
422	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
424	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
425	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
426	C₁₃×#41	—	4	4	no	—
427	C₁₃×#41	—	4	8	no	—
428	C₁₃×#41	—	8	4	no	—
429	C₁₃×#41	—	8	8	no	—
430	C₂×Q₈×C₁₃	—	4	4	no	—
431	C₂×Q₈×C₁₃	—	4	4	no	—
432	C₂×Q₈×C₁₃	—	8	4	no	—
433	C₂×Q₈×C₁₃	—	8	4	no	—
434	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
435	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
436	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
437	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
438	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
439	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
440	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
441	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
442	C₂×D₄×C₁₃	—	2	8	no	—
443	C₂×D₄×C₁₃	—	2	8	no	—
444	C₂×D₄×C₁₃	—	2	4	no	—
445	C₂×D₄×C₁₃	—	4	2	no	—
446	C₂×D₄×C₁₃	—	8	2	no	—
447	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
448	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
449	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
450	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
451	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
452	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
453	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
454	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
455	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
456	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
457	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
458	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
459	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
460	C₂²×C₄×C₁₃	—	4	2	no	—
461	C₂²×C₄×C₁₃	—	4	2	no	—
462	C₂²×C₄×C₁₃	—	4	4	no	—
463	C₂²×C₄×C₁₃	—	8	2	no	—
464	C₂²×C₄×C₁₃	—	8	2	no	—
465	C₂²×C₄×C₁₃	—	8	4	no	—
466	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
467	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
468	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
470	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
472	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
473	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
475	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
476	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
477	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
479	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
483	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
484	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
485	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
486	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
487	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
488	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
489	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
490	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
491	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
492	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
493	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
494	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
495	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
496	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
497	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
498	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
499	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
500	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
501	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
502	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
503	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
504	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
505	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
506	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
507	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
508	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
509	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
510	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
511	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
512	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
513	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
514	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
515	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
516	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
517	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
518	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
519	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
520	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
521	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
522	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
523	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
524	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
525	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
526	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
527	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
528	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
529	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
530	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
531	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
532	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
533	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
534	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
535	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
536	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
537	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
538	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
539	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
540	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
541	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
542	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
543	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
544	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
545	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
546	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
547	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
548	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
549	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
550	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
551	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
552	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
553	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
554	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
555	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
556	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
557	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
558	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
559	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
560	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
561	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
562	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
563	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
564	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
565	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
566	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
567	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
568	C₄²×C₁₃	C₂⁴	1	4	yes	—
569	C₄²×C₁₃	C₂⁴	1	8	yes	—
570	C₄²×C₁₃	C₂⁴	1	2	yes	—
571	C₄²×C₁₃	C₂⁴	1	4	yes	—
572	C₄²×C₁₃	C₂⁴	1	4	yes	—
573	C₄²×C₁₃	C₂⁴	1	4	yes	—
574	C₄²×C₁₃	C₂⁴	1	2	yes	—
575	C₄²×C₁₃	C₂⁴	1	8	yes	—
576	C₄²×C₁₃	C₂⁴	1	8	yes	—
577	C₄²×C₁₃	C₂⁴	1	8	yes	—
578	C₄²×C₁₃	C₂⁴	1	8	yes	—
579	#3564	C₂×C₁₃	1	4	yes	complemented
580	#3563	C₂×C₁₃	1	2	yes	complemented
581	#3553	C₂×C₁₃	1	8	yes	complemented
582	#3552	C₂×C₁₃	1	4	yes	complemented
583	#3541	C₂×C₁₃	1	4	yes	complemented
584	#3541	C₂×C₁₃	1	8	yes	complemented
585	#3536	C₂×C₁₃	1	2	yes	complemented
586	#3535	C₂×C₁₃	1	4	yes	complemented
587	#3520	C₂×C₁₃	1	2	yes	complemented
588	#3516	C₂×C₁₃	1	4	yes	complemented
589	#3505	C₂×C₁₃	1	2	yes	complemented
590	#3505	C₂×C₁₃	1	4	yes	complemented
591	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
592	#3501	C₂×C₁₃	1	2	yes	complemented
593	#3495	C₂×C₁₃	1	2	yes	complemented
594	#3492	C₂×C₁₃	1	4	yes	complemented
595	C₂×#554	C₂×C₁₃	1	2	yes	complemented
596	C₂×#553	C₂×C₁₃	1	1	yes	characteristic, complemented
597	#3459	C₂×C₁₃	1	1	yes	characteristic, complemented
598	#3459	C₂×C₁₃	1	2	yes	complemented
599	C₂³×C₁₃	—	2	4	no	—
600	C₂³×C₁₃	—	2	2	no	—
601	C₂³×C₁₃	—	2	4	no	—
602	C₂³×C₁₃	—	4	1	no	—
603	C₂³×C₁₃	—	4	2	no	—
604	C₂³×C₁₃	—	4	1	no	—
605	C₂³×C₁₃	—	4	2	no	—
606	C₂³×C₁₃	—	4	1	no	—
607	C₂³×C₁₃	—	4	2	no	—
608	C₂³×C₁₃	—	4	2	no	—
609	C₂³×C₁₃	—	4	1	no	—
610	C₂³×C₁₃	2₋¹⁺⁴	1	4	yes	—
611	C₂³×C₁₃	C₂⁵	1	2	yes	—
612	C₂³×C₁₃	C₂⁵	1	4	yes	—
613	C₂³×C₁₃	C₂⁵	1	4	yes	—
614	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
615	C₂³×C₁₃	C₂⁵	1	2	yes	—
616	Q₈×C₁₃	—	2	8	no	—
617	Q₈×C₁₃	—	4	4	no	—
618	Q₈×C₁₃	—	4	4	no	—
619	Q₈×C₁₃	—	4	8	no	—
620	Q₈×C₁₃	—	4	2	no	—
621	Q₈×C₁₃	—	4	8	no	—
622	Q₈×C₁₃	—	4	4	no	—
623	Q₈×C₁₃	—	4	2	no	—
624	D₄×C₁₃	—	2	8	no	—
625	D₄×C₁₃	—	2	8	no	—
626	D₄×C₁₃	—	2	8	no	—
627	D₄×C₁₃	—	2	16	no	—
628	D₄×C₁₃	—	2	4	no	—
629	D₄×C₁₃	—	4	2	no	—
630	D₄×C₁₃	—	4	8	no	—
631	D₄×C₁₃	—	4	4	no	—
632	D₄×C₁₃	—	4	2	no	—
633	D₄×C₁₃	—	4	8	no	—
634	D₄×C₁₃	—	4	2	no	—
635	D₄×C₁₃	—	4	8	no	—
636	D₄×C₁₃	—	4	4	no	—
637	C₂×C₄×C₁₃	—	2	4	no	—
638	C₂×C₄×C₁₃	—	2	2	no	—
639	C₂×C₄×C₁₃	—	2	4	no	—
640	C₂×C₄×C₁₃	—	2	2	no	—
641	C₂×C₄×C₁₃	—	2	4	no	—
642	C₂×C₄×C₁₃	—	2	4	no	—
643	C₂×C₄×C₁₃	—	2	8	no	—
644	C₂×C₄×C₁₃	—	4	2	no	—
645	C₂×C₄×C₁₃	—	4	2	no	—
646	C₂×C₄×C₁₃	—	4	2	no	—
647	C₂×C₄×C₁₃	—	4	4	no	—
648	C₂×C₄×C₁₃	—	4	1	no	—
649	C₂×C₄×C₁₃	—	4	1	no	—
650	C₂×C₄×C₁₃	—	4	4	no	—
651	C₂×C₄×C₁₃	—	4	2	no	—
652	C₂×C₄×C₁₃	—	4	1	no	—
653	C₂×C₄×C₁₃	—	4	2	no	—
654	C₂×C₄×C₁₃	—	4	4	no	—
655	C₂×C₄×C₁₃	—	4	4	no	—
656	C₂×C₄×C₁₃	—	4	4	no	—
657	C₂×C₄×C₁₃	—	4	4	no	—
658	C₂×C₄×C₁₃	—	4	8	no	—
659	C₂×C₄×C₁₃	—	4	8	no	—
660	C₂×C₄×C₁₃	—	4	4	no	—
661	C₂×C₄×C₁₃	—	4	4	no	—
662	C₂×C₄×C₁₃	—	4	2	no	—
663	C₂×C₄×C₁₃	—	4	8	no	—
664	C₂×C₄×C₁₃	—	4	8	no	—
665	C₂×C₄×C₁₃	—	4	4	no	—
666	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
667	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
668	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
669	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
670	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
671	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
672	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
673	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
674	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
675	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
676	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
677	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
678	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
679	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
680	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
681	#564	C₂²×C₁₃	1	4	yes	complemented
682	#563	C₂²×C₁₃	1	8	yes	complemented
683	#563	C₂²×C₁₃	1	4	yes	complemented
684	#563	C₂²×C₁₃	1	8	yes	complemented
685	#563	C₂²×C₁₃	1	8	yes	complemented
686	#562	C₂²×C₁₃	1	8	yes	complemented
687	#562	C₂²×C₁₃	1	8	yes	complemented
688	#557	C₂²×C₁₃	1	4	yes	complemented
689	#556	C₂²×C₁₃	1	4	yes	complemented
690	#556	C₂²×C₁₃	1	2	yes	complemented
691	#556	C₂²×C₁₃	1	8	yes	complemented
692	#554	C₂²×C₁₃	1	4	yes	complemented
693	#554	C₂²×C₁₃	1	4	yes	complemented
694	#554	C₂²×C₁₃	1	8	yes	complemented
695	#554	C₂²×C₁₃	1	4	yes	complemented
696	#554	C₂²×C₁₃	1	4	yes	complemented
697	#554	C₂²×C₁₃	1	8	yes	complemented
698	#554	C₂²×C₁₃	1	4	yes	complemented
699	#554	C₂²×C₁₃	1	8	yes	complemented
700	#554	C₂²×C₁₃	1	8	yes	complemented
701	#554	C₂²×C₁₃	1	8	yes	complemented
702	#554	C₂²×C₁₃	1	8	yes	complemented
703	#553	C₂²×C₁₃	1	4	yes	complemented
704	#553	C₂²×C₁₃	1	4	yes	complemented
705	#553	C₂²×C₁₃	1	8	yes	complemented
706	#553	C₂²×C₁₃	1	4	yes	complemented
707	#553	C₂²×C₁₃	1	8	yes	complemented
708	#553	C₂²×C₁₃	1	8	yes	complemented
709	#553	C₂²×C₁₃	1	8	yes	complemented
710	#553	C₂²×C₁₃	1	8	yes	complemented
711	#552	C₂²×C₁₃	1	4	yes	complemented
712	#552	C₂²×C₁₃	1	4	yes	complemented
713	#552	C₂²×C₁₃	1	8	yes	complemented
714	#552	C₂²×C₁₃	1	4	yes	complemented
715	#552	C₂²×C₁₃	1	8	yes	complemented
716	#552	C₂²×C₁₃	1	8	yes	complemented
717	#552	C₂²×C₁₃	1	8	yes	complemented
718	#552	C₂²×C₁₃	1	4	yes	complemented
719	#551	C₂²×C₁₃	1	8	yes	complemented
720	#551	C₂²×C₁₃	1	8	yes	complemented
721	#551	C₂²×C₁₃	1	8	yes	complemented
722	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
723	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
724	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
725	#548	C₂²×C₁₃	1	4	yes	complemented
726	#548	C₂²×C₁₃	1	8	yes	complemented
727	#548	C₂²×C₁₃	1	4	yes	complemented
728	#548	C₂²×C₁₃	1	4	yes	complemented
729	#547	C₂²×C₁₃	1	2	yes	complemented
730	#547	C₂²×C₁₃	1	8	yes	complemented
731	#547	C₂²×C₁₃	1	4	yes	complemented
732	#547	C₂²×C₁₃	1	2	yes	complemented
733	#546	C₂²×C₁₃	1	4	yes	complemented
734	#546	C₂²×C₁₃	1	8	yes	complemented
735	#544	C₂²×C₁₃	1	4	yes	complemented
736	#544	C₂²×C₁₃	1	2	yes	complemented
737	#544	C₂²×C₁₃	1	4	yes	complemented
738	#544	C₂²×C₁₃	1	2	yes	complemented
739	#543	C₂²×C₁₃	1	1	yes	characteristic
740	#543	C₂²×C₁₃	1	2	yes	—
741	#543	C₂²×C₁₃	1	2	yes	complemented
742	#543	C₂²×C₁₃	1	4	yes	complemented
743	#542	C₂²×C₁₃	1	4	yes	complemented
744	#542	C₂²×C₁₃	1	8	yes	complemented
745	#542	C₂²×C₁₃	1	4	yes	complemented
746	#542	C₂²×C₁₃	1	4	yes	complemented
747	#542	C₂²×C₁₃	1	8	yes	complemented
748	#541	C₂²×C₁₃	1	4	yes	complemented
749	#541	C₂²×C₁₃	1	4	yes	complemented
750	#541	C₂²×C₁₃	1	8	yes	complemented
751	#541	C₂²×C₁₃	1	8	yes	complemented
752	#541	C₂²×C₁₃	1	8	yes	complemented
753	#539	C₂²×C₁₃	1	4	yes	—
754	#539	C₂²×C₁₃	1	2	yes	—
755	#539	C₂²×C₁₃	1	8	yes	complemented
756	#539	C₂²×C₁₃	1	4	yes	complemented
757	#539	C₂²×C₁₃	1	8	yes	complemented
758	#539	C₂²×C₁₃	1	8	yes	complemented
759	#539	C₂²×C₁₃	1	8	yes	complemented
760	#539	C₂²×C₁₃	1	4	yes	complemented
761	#539	C₂²×C₁₃	1	8	yes	complemented
762	#539	C₂²×C₁₃	1	8	yes	complemented
763	#539	C₂²×C₁₃	1	4	yes	complemented
764	#538	C₂²×C₁₃	1	2	yes	—
765	#538	C₂²×C₁₃	1	4	yes	—
766	#538	C₂²×C₁₃	1	8	yes	complemented
767	#538	C₂²×C₁₃	1	4	yes	complemented
768	#538	C₂²×C₁₃	1	4	yes	complemented
769	#538	C₂²×C₁₃	1	8	yes	complemented
770	#537	C₂²×C₁₃	1	4	yes	complemented
771	#537	C₂²×C₁₃	1	4	yes	complemented
772	#536	C₂²×C₁₃	1	2	yes	complemented
773	#536	C₂²×C₁₃	1	8	yes	complemented
774	#534	C₂²×C₁₃	1	1	yes	characteristic
775	#534	C₂²×C₁₃	1	4	yes	—
776	#534	C₂²×C₁₃	1	2	yes	—
777	#533	C₂²×C₁₃	1	4	yes	complemented
778	#533	C₂²×C₁₃	1	2	yes	complemented
779	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
780	#529	C₂²×C₁₃	1	4	yes	—
781	#529	C₂²×C₁₃	1	2	yes	—
782	#529	C₂²×C₁₃	1	4	yes	complemented
783	#529	C₂²×C₁₃	1	8	yes	complemented
784	#529	C₂²×C₁₃	1	4	yes	complemented
785	#529	C₂²×C₁₃	1	8	yes	complemented
786	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
787	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
789	#525	C₂²×C₁₃	1	2	yes	—
790	#525	C₂²×C₁₃	1	4	yes	—
791	#525	C₂²×C₁₃	1	4	yes	complemented
792	#525	C₂²×C₁₃	1	8	yes	complemented
793	#525	C₂²×C₁₃	1	4	yes	complemented
794	#525	C₂²×C₁₃	1	8	yes	complemented
795	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
796	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
797	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
798	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
799	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
800	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
801	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
802	C₂×#121	C₂²×C₁₃	1	2	yes	—
803	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
804	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
805	#520	C₂²×C₁₃	1	2	yes	complemented
806	#520	C₂²×C₁₃	1	4	yes	complemented
807	#519	C₂²×C₁₃	1	2	yes	complemented
808	#518	C₂²×C₁₃	1	2	yes	—
809	#518	C₂²×C₁₃	1	4	yes	—
810	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
811	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
812	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
813	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
814	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
815	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
816	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
817	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
818	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
819	C₂²×C₁₃	—	2	2	no	—
820	C₂²×C₁₃	—	2	1	no	—
821	C₂²×C₁₃	—	2	2	no	—
822	C₂²×C₁₃	—	2	1	no	—
823	C₂²×C₁₃	—	2	4	no	—
824	C₂²×C₁₃	—	2	2	no	—
825	C₂²×C₁₃	—	2	4	no	—
826	C₂²×C₁₃	—	2	2	no	—
827	C₂²×C₁₃	—	2	4	no	—
828	C₂²×C₁₃	—	2	4	no	—
829	C₂²×C₁₃	—	2	4	no	—
830	C₂²×C₁₃	—	2	4	no	—
831	C₂²×C₁₃	—	2	2	no	—
832	C₂²×C₁₃	—	4	4	no	—
833	C₂²×C₁₃	—	4	8	no	—
834	C₂²×C₁₃	—	8	2	no	—
835	C₂²×C₁₃	—	8	4	no	—
836	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
837	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
838	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
839	C₄×C₁₃	—	2	4	no	—
840	C₄×C₁₃	—	2	2	no	—
841	C₄×C₁₃	—	2	4	no	—
842	C₄×C₁₃	—	2	1	no	—
843	C₄×C₁₃	—	2	4	no	—
844	C₄×C₁₃	—	2	2	no	—
845	C₄×C₁₃	—	2	2	no	—
846	C₄×C₁₃	—	2	8	no	—
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	2	4	no	—
849	C₄×C₁₃	—	2	2	no	—
850	C₄×C₁₃	—	2	8	no	—
851	C₄×C₁₃	—	2	2	no	—
852	C₄×C₁₃	—	2	4	no	—
853	C₄×C₁₃	#585	1	2	yes	—
854	C₂×#41	C₂³×C₁₃	1	2	yes	—
855	C₂×#41	C₂³×C₁₃	1	4	yes	—
856	C₂×#41	C₂³×C₁₃	1	4	yes	—
857	C₂×#41	C₂³×C₁₃	1	8	yes	—
858	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
859	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
860	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
861	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
862	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
863	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
864	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
865	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
866	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
867	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
868	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
869	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
870	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
871	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
872	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
873	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
874	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
875	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
876	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
877	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
878	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
879	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
880	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
881	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
882	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
883	#126	C₂³×C₁₃	1	8	yes	—
884	#126	C₂³×C₁₃	1	8	yes	—
885	#126	C₂³×C₁₃	1	4	yes	—
886	#126	C₂³×C₁₃	1	8	yes	—
887	#126	C₂³×C₁₃	1	8	yes	—
888	#126	C₂³×C₁₃	1	4	yes	—
889	#126	C₂³×C₁₃	1	8	yes	—
890	#126	C₂³×C₁₃	1	4	yes	—
891	#126	C₂³×C₁₃	1	8	yes	—
892	#126	C₂³×C₁₃	1	8	yes	—
893	#126	C₂³×C₁₃	1	8	yes	—
894	#126	C₂³×C₁₃	1	8	yes	—
895	#126	C₂³×C₁₃	1	8	yes	—
896	#126	C₂³×C₁₃	1	8	yes	—
897	#126	C₂³×C₁₃	1	8	yes	—
898	#126	C₂³×C₁₃	1	8	yes	—
899	#126	C₂³×C₁₃	1	8	yes	—
900	#125	C₂³×C₁₃	1	8	yes	—
901	#125	C₂³×C₁₃	1	8	yes	—
902	#125	C₂³×C₁₃	1	8	yes	—
903	#125	C₂³×C₁₃	1	8	yes	—
904	#125	C₂³×C₁₃	1	4	yes	—
905	#125	C₂³×C₁₃	1	4	yes	—
906	#125	C₂³×C₁₃	1	4	yes	—
907	#125	C₂³×C₁₃	1	2	yes	—
908	#125	C₂³×C₁₃	1	4	yes	—
909	#125	C₂³×C₁₃	1	8	yes	—
910	#125	C₂³×C₁₃	1	8	yes	—
911	#125	C₂³×C₁₃	1	4	yes	—
912	#125	C₂³×C₁₃	1	4	yes	—
913	#125	C₂³×C₁₃	1	8	yes	—
914	#125	C₂³×C₁₃	1	8	yes	—
915	#125	C₂³×C₁₃	1	8	yes	—
916	#125	C₂³×C₁₃	1	8	yes	—
917	#125	C₂³×C₁₃	1	8	yes	—
918	#125	C₂³×C₁₃	1	8	yes	—
919	#125	C₂³×C₁₃	1	8	yes	—
920	#124	C₂³×C₁₃	1	4	yes	—
921	#124	C₂³×C₁₃	1	2	yes	—
922	#124	C₂³×C₁₃	1	4	yes	—
923	#124	C₂³×C₁₃	1	8	yes	—
924	#124	C₂³×C₁₃	1	4	yes	—
925	#124	C₂³×C₁₃	1	8	yes	—
926	#124	C₂³×C₁₃	1	8	yes	—
927	#124	C₂³×C₁₃	1	8	yes	—
928	#124	C₂³×C₁₃	1	8	yes	—
929	#123	C₂³×C₁₃	1	8	yes	—
930	#123	C₂³×C₁₃	1	8	yes	—
931	#123	C₂³×C₁₃	1	8	yes	—
932	#123	C₂³×C₁₃	1	4	yes	—
933	#123	C₂³×C₁₃	1	4	yes	—
934	#123	C₂³×C₁₃	1	8	yes	—
935	#123	C₂³×C₁₃	1	4	yes	—
936	#123	C₂³×C₁₃	1	8	yes	—
937	#123	C₂³×C₁₃	1	8	yes	—
938	#123	C₂³×C₁₃	1	8	yes	—
939	#123	C₂³×C₁₃	1	8	yes	—
940	#123	C₂³×C₁₃	1	4	yes	—
941	#123	C₂³×C₁₃	1	8	yes	—
942	#123	C₂³×C₁₃	1	4	yes	—
943	#123	C₂³×C₁₃	1	4	yes	—
944	#123	C₂³×C₁₃	1	8	yes	—
945	#123	C₂³×C₁₃	1	8	yes	—
946	#123	C₂³×C₁₃	1	8	yes	—
947	#123	C₂³×C₁₃	1	8	yes	—
948	#123	C₂³×C₁₃	1	8	yes	—
949	#123	C₂³×C₁₃	1	8	yes	—
950	#123	C₂³×C₁₃	1	8	yes	—
951	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
952	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
953	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
954	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
955	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
956	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
957	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
958	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
959	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
960	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
961	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
962	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
963	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
964	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
965	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
966	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
967	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
968	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
969	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
970	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
971	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
972	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
973	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
974	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
975	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
976	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
977	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
978	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
979	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
980	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
981	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
982	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
983	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
984	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
985	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
986	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
987	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
988	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
989	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
990	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
991	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
992	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
993	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
994	#121	C₂³×C₁₃	1	4	yes	—
995	#121	C₂³×C₁₃	1	8	yes	—
996	#121	C₂³×C₁₃	1	8	yes	—
997	#121	C₂³×C₁₃	1	4	yes	—
998	#121	C₂³×C₁₃	1	4	yes	—
999	#121	C₂³×C₁₃	1	4	yes	—
1000	#121	C₂³×C₁₃	1	2	yes	—
1001	#121	C₂³×C₁₃	1	2	yes	—
1002	#121	C₂³×C₁₃	1	2	yes	—
1003	#121	C₂³×C₁₃	1	4	yes	—
1004	#121	C₂³×C₁₃	1	8	yes	—
1005	#121	C₂³×C₁₃	1	4	yes	—
1006	#121	C₂³×C₁₃	1	8	yes	—
1007	#121	C₂³×C₁₃	1	8	yes	—
1008	#121	C₂³×C₁₃	1	4	yes	—
1009	#121	C₂³×C₁₃	1	4	yes	—
1010	#121	C₂³×C₁₃	1	4	yes	—
1011	#121	C₂³×C₁₃	1	8	yes	—
1012	#121	C₂³×C₁₃	1	8	yes	—
1013	#121	C₂³×C₁₃	1	8	yes	—
1014	#121	C₂³×C₁₃	1	8	yes	—
1015	#120	C₂³×C₁₃	1	4	yes	—
1016	#120	C₂³×C₁₃	1	8	yes	—
1017	#120	C₂³×C₁₃	1	4	yes	—
1018	#120	C₂³×C₁₃	1	4	yes	—
1019	#120	C₂³×C₁₃	1	8	yes	—
1020	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1021	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1022	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1023	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1024	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1025	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1026	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1027	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1028	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1029	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1030	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1031	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1032	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1033	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1034	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1035	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1036	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1037	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1038	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1039	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1040	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1041	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1042	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1043	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1044	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1045	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1046	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1047	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1048	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1049	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1050	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1051	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1052	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1053	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1054	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1055	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1056	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1057	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1058	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1059	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1060	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1061	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1062	#117	C₂³×C₁₃	1	2	yes	—
1063	#117	C₂³×C₁₃	1	2	yes	—
1064	#117	C₂³×C₁₃	1	4	yes	—
1065	#117	C₂³×C₁₃	1	8	yes	—
1066	#117	C₂³×C₁₃	1	4	yes	—
1067	#117	C₂³×C₁₃	1	2	yes	—
1068	#117	C₂³×C₁₃	1	8	yes	—
1069	#117	C₂³×C₁₃	1	4	yes	—
1070	#117	C₂³×C₁₃	1	4	yes	—
1071	#117	C₂³×C₁₃	1	8	yes	—
1072	#117	C₂³×C₁₃	1	4	yes	—
1073	#117	C₂³×C₁₃	1	8	yes	—
1074	#117	C₂³×C₁₃	1	8	yes	—
1075	#117	C₂³×C₁₃	1	8	yes	—
1076	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1077	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1080	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1081	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1082	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1083	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1084	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1085	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1086	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1087	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1089	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1090	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1091	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1092	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1093	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1094	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1095	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1096	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1097	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1098	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1099	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1100	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1101	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1103	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1104	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1105	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1106	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1107	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1109	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1110	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1111	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1112	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1113	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1114	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1115	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1116	C₂×C₁₃	—	2	4	no	—
1117	C₂×C₁₃	—	2	2	no	—
1118	C₂×C₁₃	—	4	4	no	—
1119	C₂×C₁₃	—	4	2	no	—
1120	C₂×C₁₃	—	4	4	no	—
1121	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1122	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1123	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1124	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1125	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1126	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1127	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1128	#41	—	4	4	no	—
1129	#41	—	4	8	no	—
1130	#41	—	8	4	no	—
1131	#41	—	8	8	no	—
1132	C₂×Q₈	—	4	4	no	—
1133	C₂×Q₈	—	4	4	no	—
1134	C₂×Q₈	—	8	4	no	—
1135	C₂×Q₈	—	8	4	no	—
1136	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1137	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1138	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1139	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1140	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1141	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1142	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1143	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1144	C₂×D₄	—	2	8	no	—
1145	C₂×D₄	—	2	8	no	—
1146	C₂×D₄	—	2	4	no	—
1147	C₂×D₄	—	4	2	no	—
1148	C₂×D₄	—	8	2	no	—
1149	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1150	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1151	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1152	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1153	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1154	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1155	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1156	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1157	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1158	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1159	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1160	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1161	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1162	C₂²×C₄	—	4	2	no	—
1163	C₂²×C₄	—	4	2	no	—
1164	C₂²×C₄	—	4	4	no	—
1165	C₂²×C₄	—	8	2	no	—
1166	C₂²×C₄	—	8	2	no	—
1167	C₂²×C₄	—	8	4	no	—
1168	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1169	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1170	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1171	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1172	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1174	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1175	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1177	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1178	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1179	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1181	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1183	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1184	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1185	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1186	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1187	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1188	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1189	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1190	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1191	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1192	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1193	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1194	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1195	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1196	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1197	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1198	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1199	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1200	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1201	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1202	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1203	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1204	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1205	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1206	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1207	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1208	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1209	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1210	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1211	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1212	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1213	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1214	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1215	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1216	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1217	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1218	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1219	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1220	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1221	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1222	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1223	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1224	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1225	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1226	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1227	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1228	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1229	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1230	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1231	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1232	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1233	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1234	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1235	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1236	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1237	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1238	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1239	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1240	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1241	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1242	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1243	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1244	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1245	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1246	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1247	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1248	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1249	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1250	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1251	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1252	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1253	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1254	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1255	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1256	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1257	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1258	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1259	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1260	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1261	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1262	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1263	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1264	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1265	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1266	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1267	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1268	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1269	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1270	C₄²	C₂⁴×C₁₃	1	4	yes	—
1271	C₄²	C₂⁴×C₁₃	1	8	yes	—
1272	C₄²	C₂⁴×C₁₃	1	2	yes	—
1273	C₄²	C₂⁴×C₁₃	1	4	yes	—
1274	C₄²	C₂⁴×C₁₃	1	4	yes	—
1275	C₄²	C₂⁴×C₁₃	1	4	yes	—
1276	C₄²	C₂⁴×C₁₃	1	2	yes	—
1277	C₄²	C₂⁴×C₁₃	1	8	yes	—
1278	C₄²	C₂⁴×C₁₃	1	8	yes	—
1279	C₄²	C₂⁴×C₁₃	1	8	yes	—
1280	C₄²	C₂⁴×C₁₃	1	8	yes	—
1281	C₁₃	#62902	1	1	yes	characteristic, direct product factor, Sylow
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	4	no	—
1285	C₂³	—	4	1	no	—
1286	C₂³	—	4	2	no	—
1287	C₂³	—	4	1	no	—
1288	C₂³	—	4	2	no	—
1289	C₂³	—	4	1	no	—
1290	C₂³	—	4	2	no	—
1291	C₂³	—	4	2	no	—
1292	C₂³	—	4	1	no	—
1293	C₂³	C₁₃×2₋¹⁺⁴	1	4	yes	—
1294	C₂³	C₂⁵×C₁₃	1	2	yes	—
1295	C₂³	C₂⁵×C₁₃	1	4	yes	—
1296	C₂³	C₂⁵×C₁₃	1	4	yes	—
1297	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1298	C₂³	C₂⁵×C₁₃	1	2	yes	—
1299	Q₈	—	2	8	no	—
1300	Q₈	—	4	4	no	—
1301	Q₈	—	4	4	no	—
1302	Q₈	—	4	8	no	—
1303	Q₈	—	4	2	no	—
1304	Q₈	—	4	8	no	—
1305	Q₈	—	4	4	no	—
1306	Q₈	—	4	2	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	2	8	no	—
1309	D₄	—	2	8	no	—
1310	D₄	—	2	16	no	—
1311	D₄	—	2	4	no	—
1312	D₄	—	4	2	no	—
1313	D₄	—	4	8	no	—
1314	D₄	—	4	4	no	—
1315	D₄	—	4	2	no	—
1316	D₄	—	4	8	no	—
1317	D₄	—	4	2	no	—
1318	D₄	—	4	8	no	—
1319	D₄	—	4	4	no	—
1320	C₂×C₄	—	2	4	no	—
1321	C₂×C₄	—	2	2	no	—
1322	C₂×C₄	—	2	4	no	—
1323	C₂×C₄	—	2	2	no	—
1324	C₂×C₄	—	2	4	no	—
1325	C₂×C₄	—	2	4	no	—
1326	C₂×C₄	—	2	8	no	—
1327	C₂×C₄	—	4	2	no	—
1328	C₂×C₄	—	4	2	no	—
1329	C₂×C₄	—	4	2	no	—
1330	C₂×C₄	—	4	4	no	—
1331	C₂×C₄	—	4	1	no	—
1332	C₂×C₄	—	4	1	no	—
1333	C₂×C₄	—	4	4	no	—
1334	C₂×C₄	—	4	2	no	—
1335	C₂×C₄	—	4	1	no	—
1336	C₂×C₄	—	4	2	no	—
1337	C₂×C₄	—	4	4	no	—
1338	C₂×C₄	—	4	4	no	—
1339	C₂×C₄	—	4	4	no	—
1340	C₂×C₄	—	4	4	no	—
1341	C₂×C₄	—	4	8	no	—
1342	C₂×C₄	—	4	8	no	—
1343	C₂×C₄	—	4	4	no	—
1344	C₂×C₄	—	4	4	no	—
1345	C₂×C₄	—	4	2	no	—
1346	C₂×C₄	—	4	8	no	—
1347	C₂×C₄	—	4	8	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1350	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1351	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1352	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1353	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1354	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1355	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1356	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1357	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1358	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1359	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1360	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1361	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1362	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1363	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	1	no	—
1366	C₂²	—	2	2	no	—
1367	C₂²	—	2	1	no	—
1368	C₂²	—	2	4	no	—
1369	C₂²	—	2	2	no	—
1370	C₂²	—	2	4	no	—
1371	C₂²	—	2	2	no	—
1372	C₂²	—	2	4	no	—
1373	C₂²	—	2	4	no	—
1374	C₂²	—	2	4	no	—
1375	C₂²	—	2	4	no	—
1376	C₂²	—	2	2	no	—
1377	C₂²	—	4	4	no	—
1378	C₂²	—	4	8	no	—
1379	C₂²	—	8	2	no	—
1380	C₂²	—	8	4	no	—
1381	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1382	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1383	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1384	C₄	—	2	4	no	—
1385	C₄	—	2	2	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	2	1	no	—
1388	C₄	—	2	4	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	8	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	4	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	8	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	4	no	—
1398	C₄	C₁₃×#585	1	2	yes	—
1399	C₂	—	2	4	no	—
1400	C₂	—	2	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	2	no	—
1403	C₂	—	4	4	no	—
1404	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1405	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1406	C₂	C₁₃×H(7,𝔽₂)	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×#3564	C₂	semidirect
2. C₁₃×#3563	C₂	semidirect
3. C₁₃×#3553	C₂	semidirect
4. C₁₃×#3552	C₂	semidirect
5. C₁₃×#3541	C₂	semidirect
6. C₁₃×#3541	C₂	semidirect
7. C₁₃×#3536	C₂	semidirect
8. C₁₃×#3535	C₂	semidirect
9. C₁₃×#3520	C₂	semidirect
10. C₁₃×#3516	C₂	semidirect
11. C₁₃×#3505	C₂	semidirect
12. C₁₃×#3505	C₂	semidirect
13. C₁₃×#3501	C₂	semidirect
14. C₁₃×#3501	C₂	semidirect
15. C₁₃×#3495	C₂	semidirect
16. C₁₃×#3492	C₂	semidirect
17. C₂×C₁₃×#554	C₂	semidirect
18. C₂×C₁₃×#553	C₂	semidirect
19. C₁₃×#3459	C₂	semidirect
20. C₁₃×#3459	C₂	semidirect
21. C₁₃×#564	C₂²	semidirect
22. C₁₃×#563	C₂²	semidirect
23. C₁₃×#563	C₂²	semidirect
24. C₁₃×#563	C₂²	semidirect
25. C₁₃×#563	C₂²	semidirect
26. C₁₃×#562	C₂²	semidirect
27. C₁₃×#562	C₂²	semidirect
28. C₁₃×#557	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
32. C₁₃×#554	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
38. C₁₃×#554	C₂²	semidirect
39. C₁₃×#554	C₂²	semidirect
40. C₁₃×#554	C₂²	semidirect
41. C₁₃×#554	C₂²	semidirect
42. C₁₃×#554	C₂²	semidirect
43. C₁₃×#553	C₂²	semidirect
44. C₁₃×#553	C₂²	semidirect
45. C₁₃×#553	C₂²	semidirect
46. C₁₃×#553	C₂²	semidirect
47. C₁₃×#553	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
49. C₁₃×#553	C₂²	semidirect
50. C₁₃×#553	C₂²	semidirect
51. C₁₃×#552	C₂²	semidirect
52. C₁₃×#552	C₂²	semidirect
53. C₁₃×#552	C₂²	semidirect
54. C₁₃×#552	C₂²	semidirect
55. C₁₃×#552	C₂²	semidirect
56. C₁₃×#552	C₂²	semidirect
57. C₁₃×#552	C₂²	semidirect
58. C₁₃×#552	C₂²	semidirect
59. C₁₃×#551	C₂²	semidirect
60. C₁₃×#551	C₂²	semidirect
61. C₁₃×#551	C₂²	semidirect
62. D₄×Q₈×C₁₃	C₂²	semidirect
63. D₄×Q₈×C₁₃	C₂²	semidirect
64. D₄×Q₈×C₁₃	C₂²	semidirect
65. C₁₃×#548	C₂²	semidirect
66. C₁₃×#548	C₂²	semidirect
67. C₁₃×#548	C₂²	semidirect
68. C₁₃×#548	C₂²	semidirect
69. C₁₃×#547	C₂²	semidirect
70. C₁₃×#547	C₂²	semidirect
71. C₁₃×#547	C₂²	semidirect
72. C₁₃×#547	C₂²	semidirect
73. C₁₃×#546	C₂²	semidirect
74. C₁₃×#546	C₂²	semidirect
75. C₁₃×#544	C₂²	semidirect
76. C₁₃×#544	C₂²	semidirect
77. C₁₃×#544	C₂²	semidirect
78. C₁₃×#544	C₂²	semidirect
81. C₁₃×#543	C₂²	semidirect
82. C₁₃×#543	C₂²	semidirect
83. C₁₃×#542	C₂²	semidirect
84. C₁₃×#542	C₂²	semidirect
85. C₁₃×#542	C₂²	semidirect
86. C₁₃×#542	C₂²	semidirect
87. C₁₃×#542	C₂²	semidirect
88. C₁₃×#541	C₂²	semidirect
89. C₁₃×#541	C₂²	semidirect
90. C₁₃×#541	C₂²	semidirect
91. C₁₃×#541	C₂²	semidirect
92. C₁₃×#541	C₂²	semidirect
95. C₁₃×#539	C₂²	semidirect
96. C₁₃×#539	C₂²	semidirect
97. C₁₃×#539	C₂²	semidirect
98. C₁₃×#539	C₂²	semidirect
99. C₁₃×#539	C₂²	semidirect
100. C₁₃×#539	C₂²	semidirect
101. C₁₃×#539	C₂²	semidirect
102. C₁₃×#539	C₂²	semidirect
103. C₁₃×#539	C₂²	semidirect
106. C₁₃×#538	C₂²	semidirect
107. C₁₃×#538	C₂²	semidirect
108. C₁₃×#538	C₂²	semidirect
109. C₁₃×#538	C₂²	semidirect
110. C₁₃×#537	C₂²	semidirect
111. C₁₃×#537	C₂²	semidirect
112. C₁₃×#536	C₂²	semidirect
113. C₁₃×#536	C₂²	semidirect
117. C₁₃×#533	C₂²	semidirect
118. C₁₃×#533	C₂²	semidirect
119. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
122. C₁₃×#529	C₂²	semidirect
123. C₁₃×#529	C₂²	semidirect
124. C₁₃×#529	C₂²	semidirect
125. C₁₃×#529	C₂²	semidirect
126. C₂×C₁₃×#126	C₂²	semidirect
127. C₂×C₁₃×#125	C₂²	semidirect
128. C₂×C₁₃×#125	C₂²	semidirect
131. C₁₃×#525	C₂²	semidirect
132. C₁₃×#525	C₂²	semidirect
133. C₁₃×#525	C₂²	semidirect
134. C₁₃×#525	C₂²	semidirect
135. C₂×C₁₃×#123	C₂²	semidirect
138. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
139. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
140. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
141. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
144. C₂×C₁₃×#121	C₂²	semidirect
145. C₁₃×#520	C₂²	semidirect
146. C₁₃×#520	C₂²	semidirect
147. C₁₃×#519	C₂²	semidirect
150. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
155. C₂×C₄×D₄×C₁₃	C₂²	semidirect
156. C₂×C₁₃×#117	C₂²	semidirect
158. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
421. #62902	C₁₃	direct (N × H)
579. #3564	C₂×C₁₃	semidirect
580. #3563	C₂×C₁₃	semidirect
581. #3553	C₂×C₁₃	semidirect
582. #3552	C₂×C₁₃	semidirect
583. #3541	C₂×C₁₃	semidirect
584. #3541	C₂×C₁₃	semidirect
585. #3536	C₂×C₁₃	semidirect
586. #3535	C₂×C₁₃	semidirect
587. #3520	C₂×C₁₃	semidirect
588. #3516	C₂×C₁₃	semidirect
589. #3505	C₂×C₁₃	semidirect
590. #3505	C₂×C₁₃	semidirect
591. #3501	C₂×C₁₃	semidirect
592. #3501	C₂×C₁₃	semidirect
593. #3495	C₂×C₁₃	semidirect
594. #3492	C₂×C₁₃	semidirect
595. C₂×#554	C₂×C₁₃	semidirect
596. C₂×#553	C₂×C₁₃	semidirect
597. #3459	C₂×C₁₃	semidirect
598. #3459	C₂×C₁₃	semidirect
681. #564	C₂²×C₁₃	semidirect
682. #563	C₂²×C₁₃	semidirect
683. #563	C₂²×C₁₃	semidirect
684. #563	C₂²×C₁₃	semidirect
685. #563	C₂²×C₁₃	semidirect
686. #562	C₂²×C₁₃	semidirect
687. #562	C₂²×C₁₃	semidirect
688. #557	C₂²×C₁₃	semidirect
689. #556	C₂²×C₁₃	semidirect
690. #556	C₂²×C₁₃	semidirect
691. #556	C₂²×C₁₃	semidirect
692. #554	C₂²×C₁₃	semidirect
693. #554	C₂²×C₁₃	semidirect
694. #554	C₂²×C₁₃	semidirect
695. #554	C₂²×C₁₃	semidirect
696. #554	C₂²×C₁₃	semidirect
697. #554	C₂²×C₁₃	semidirect
698. #554	C₂²×C₁₃	semidirect
699. #554	C₂²×C₁₃	semidirect
700. #554	C₂²×C₁₃	semidirect
701. #554	C₂²×C₁₃	semidirect
702. #554	C₂²×C₁₃	semidirect
703. #553	C₂²×C₁₃	semidirect
704. #553	C₂²×C₁₃	semidirect
705. #553	C₂²×C₁₃	semidirect
706. #553	C₂²×C₁₃	semidirect
707. #553	C₂²×C₁₃	semidirect
708. #553	C₂²×C₁₃	semidirect
709. #553	C₂²×C₁₃	semidirect
710. #553	C₂²×C₁₃	semidirect
711. #552	C₂²×C₁₃	semidirect
712. #552	C₂²×C₁₃	semidirect
713. #552	C₂²×C₁₃	semidirect
714. #552	C₂²×C₁₃	semidirect
715. #552	C₂²×C₁₃	semidirect
716. #552	C₂²×C₁₃	semidirect
717. #552	C₂²×C₁₃	semidirect
718. #552	C₂²×C₁₃	semidirect
719. #551	C₂²×C₁₃	semidirect
720. #551	C₂²×C₁₃	semidirect
721. #551	C₂²×C₁₃	semidirect
722. D₄×Q₈	C₂²×C₁₃	semidirect
723. D₄×Q₈	C₂²×C₁₃	semidirect
724. D₄×Q₈	C₂²×C₁₃	semidirect
725. #548	C₂²×C₁₃	semidirect
726. #548	C₂²×C₁₃	semidirect
727. #548	C₂²×C₁₃	semidirect
728. #548	C₂²×C₁₃	semidirect
729. #547	C₂²×C₁₃	semidirect
730. #547	C₂²×C₁₃	semidirect
731. #547	C₂²×C₁₃	semidirect
732. #547	C₂²×C₁₃	semidirect
733. #546	C₂²×C₁₃	semidirect
734. #546	C₂²×C₁₃	semidirect
735. #544	C₂²×C₁₃	semidirect
736. #544	C₂²×C₁₃	semidirect
737. #544	C₂²×C₁₃	semidirect
738. #544	C₂²×C₁₃	semidirect
741. #543	C₂²×C₁₃	semidirect
742. #543	C₂²×C₁₃	semidirect
743. #542	C₂²×C₁₃	semidirect
744. #542	C₂²×C₁₃	semidirect
745. #542	C₂²×C₁₃	semidirect
746. #542	C₂²×C₁₃	semidirect
747. #542	C₂²×C₁₃	semidirect
748. #541	C₂²×C₁₃	semidirect
749. #541	C₂²×C₁₃	semidirect
750. #541	C₂²×C₁₃	semidirect
751. #541	C₂²×C₁₃	semidirect
752. #541	C₂²×C₁₃	semidirect
755. #539	C₂²×C₁₃	semidirect
756. #539	C₂²×C₁₃	semidirect
757. #539	C₂²×C₁₃	semidirect
758. #539	C₂²×C₁₃	semidirect
759. #539	C₂²×C₁₃	semidirect
760. #539	C₂²×C₁₃	semidirect
761. #539	C₂²×C₁₃	semidirect
762. #539	C₂²×C₁₃	semidirect
763. #539	C₂²×C₁₃	semidirect
766. #538	C₂²×C₁₃	semidirect
767. #538	C₂²×C₁₃	semidirect
768. #538	C₂²×C₁₃	semidirect
769. #538	C₂²×C₁₃	semidirect
770. #537	C₂²×C₁₃	semidirect
771. #537	C₂²×C₁₃	semidirect
772. #536	C₂²×C₁₃	semidirect
773. #536	C₂²×C₁₃	semidirect
777. #533	C₂²×C₁₃	semidirect
778. #533	C₂²×C₁₃	semidirect
779. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
782. #529	C₂²×C₁₃	semidirect
783. #529	C₂²×C₁₃	semidirect
784. #529	C₂²×C₁₃	semidirect
785. #529	C₂²×C₁₃	semidirect
786. C₂×#126	C₂²×C₁₃	semidirect
787. C₂×#125	C₂²×C₁₃	semidirect
788. C₂×#125	C₂²×C₁₃	semidirect
791. #525	C₂²×C₁₃	semidirect
792. #525	C₂²×C₁₃	semidirect
793. #525	C₂²×C₁₃	semidirect
794. #525	C₂²×C₁₃	semidirect
795. C₂×#123	C₂²×C₁₃	semidirect
798. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
799. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
800. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
801. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
804. C₂×#121	C₂²×C₁₃	semidirect
805. #520	C₂²×C₁₃	semidirect
806. #520	C₂²×C₁₃	semidirect
807. #519	C₂²×C₁₃	semidirect
810. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
815. C₂×C₄×D₄	C₂²×C₁₃	semidirect
816. C₂×#117	C₂²×C₁₃	semidirect
818. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
1281. C₁₃	#62902	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×#3564	2
C₁₃×#3563	2
C₁₃×#3553	2
C₁₃×#3552	2
C₁₃×#3541	2
C₁₃×#3536	2
C₁₃×#3535	2
C₁₃×#3520	2
C₁₃×#3516	2
C₁₃×#3505	2
C₁₃×#3501	2
C₁₃×#3495	2
C₁₃×#3492	2
C₂×C₁₃×#554	2
C₂×C₁₃×#553	2
C₁₃×#3459	2
#62902	13

Subgroups — C13×#62902 #15749241

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62902 #15749241