Subgroups — C₁₃×#62942 #15749281

Order 3328.

6994 conjugacy classes of subgroups.

The subgroup lattice has 1734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3561	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3554	C₂	1	2	yes	maximal, complemented
3	C₁₃×#3552	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3550	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3547	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3544	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3541	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3538	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3535	C₂	1	8	yes	maximal, complemented
11	C₁₃×#3520	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3514	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3513	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3503	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3501	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3489	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3486	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₄×Q₈×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₁₃×#536	C₂	1	2	yes	maximal, complemented
27	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
28	C₂²×C₁₃×#41	C₂²	1	2	yes	—
29	C₂³×Q₈×C₁₃	C₂²	1	2	yes	complemented
30	C₁₃×#563	C₂²	1	8	yes	complemented
31	C₁₃×#563	C₂²	1	8	yes	complemented
32	C₁₃×#563	C₂²	1	8	yes	complemented
33	C₁₃×#563	C₂²	1	8	yes	complemented
34	C₁₃×#562	C₂²	1	8	yes	complemented
35	C₁₃×#562	C₂²	1	8	yes	complemented
36	C₁₃×#559	C₂²	1	4	yes	complemented
37	C₁₃×#559	C₂²	1	2	yes	complemented
38	Q₈²×C₁₃	C₂²	1	4	yes	complemented
39	C₁₃×#557	C₂²	1	2	yes	complemented
40	C₁₃×#557	C₂²	1	2	yes	complemented
41	C₁₃×#557	C₂²	1	2	yes	complemented
42	C₁₃×#556	C₂²	1	2	yes	complemented
43	C₁₃×#556	C₂²	1	4	yes	complemented
44	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#556	C₂²	1	4	yes	complemented
46	C₁₃×#556	C₂²	1	2	yes	complemented
47	C₁₃×#556	C₂²	1	2	yes	complemented
48	C₁₃×#555	C₂²	1	4	yes	complemented
49	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#554	C₂²	1	1	yes	characteristic
51	C₁₃×#554	C₂²	1	4	yes	—
52	C₁₃×#554	C₂²	1	4	yes	complemented
53	C₁₃×#554	C₂²	1	8	yes	complemented
54	C₁₃×#554	C₂²	1	8	yes	complemented
55	C₁₃×#554	C₂²	1	4	yes	complemented
56	C₁₃×#554	C₂²	1	4	yes	complemented
57	C₁₃×#554	C₂²	1	2	yes	complemented
58	C₁₃×#553	C₂²	1	2	yes	complemented
59	C₁₃×#553	C₂²	1	8	yes	complemented
60	C₁₃×#553	C₂²	1	4	yes	complemented
61	C₁₃×#552	C₂²	1	4	yes	complemented
62	C₁₃×#552	C₂²	1	4	yes	complemented
63	C₁₃×#552	C₂²	1	8	yes	complemented
64	C₁₃×#552	C₂²	1	2	yes	complemented
65	C₁₃×#552	C₂²	1	4	yes	complemented
66	C₁₃×#552	C₂²	1	4	yes	complemented
67	C₁₃×#552	C₂²	1	2	yes	complemented
68	C₁₃×#552	C₂²	1	4	yes	complemented
69	C₁₃×#551	C₂²	1	8	yes	complemented
70	C₁₃×#551	C₂²	1	4	yes	complemented
71	C₁₃×#551	C₂²	1	8	yes	complemented
72	C₁₃×#551	C₂²	1	8	yes	complemented
73	C₁₃×#551	C₂²	1	8	yes	complemented
74	C₁₃×#550	C₂²	1	1	yes	characteristic
75	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
76	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
77	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
78	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
79	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
80	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
81	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
82	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
83	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
84	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
85	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
86	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
87	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
88	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
89	C₁₃×#548	C₂²	1	2	yes	—
90	C₁₃×#548	C₂²	1	4	yes	complemented
91	C₁₃×#548	C₂²	1	4	yes	complemented
92	C₁₃×#548	C₂²	1	4	yes	complemented
93	C₁₃×#548	C₂²	1	4	yes	complemented
94	C₁₃×#548	C₂²	1	4	yes	complemented
95	C₁₃×#547	C₂²	1	1	yes	characteristic
96	C₁₃×#547	C₂²	1	2	yes	—
97	C₁₃×#547	C₂²	1	1	yes	characteristic
98	C₁₃×#547	C₂²	1	2	yes	complemented
99	C₁₃×#547	C₂²	1	4	yes	complemented
100	C₁₃×#547	C₂²	1	8	yes	complemented
101	C₁₃×#547	C₂²	1	2	yes	complemented
102	C₁₃×#547	C₂²	1	4	yes	complemented
103	C₁₃×#547	C₂²	1	4	yes	complemented
104	C₁₃×#546	C₂²	1	4	yes	—
105	C₁₃×#546	C₂²	1	4	yes	—
106	C₁₃×#546	C₂²	1	2	yes	—
107	C₁₃×#546	C₂²	1	2	yes	—
108	C₁₃×#546	C₂²	1	8	yes	complemented
109	C₁₃×#546	C₂²	1	4	yes	complemented
110	D₄²×C₁₃	C₂²	1	2	yes	—
111	D₄²×C₁₃	C₂²	1	1	yes	characteristic
112	C₁₃×#544	C₂²	1	8	yes	complemented
113	C₁₃×#544	C₂²	1	8	yes	complemented
114	C₁₃×#544	C₂²	1	4	yes	complemented
115	C₁₃×#544	C₂²	1	4	yes	complemented
116	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#543	C₂²	1	8	yes	complemented
118	C₁₃×#542	C₂²	1	4	yes	complemented
119	C₁₃×#542	C₂²	1	8	yes	complemented
120	C₁₃×#542	C₂²	1	8	yes	complemented
121	C₁₃×#542	C₂²	1	2	yes	complemented
122	C₁₃×#542	C₂²	1	8	yes	complemented
123	C₁₃×#542	C₂²	1	4	yes	complemented
124	C₁₃×#542	C₂²	1	4	yes	complemented
125	C₁₃×#542	C₂²	1	4	yes	complemented
126	C₁₃×#542	C₂²	1	2	yes	complemented
127	C₁₃×#541	C₂²	1	2	yes	complemented
128	C₁₃×#541	C₂²	1	4	yes	complemented
129	C₁₃×#541	C₂²	1	2	yes	complemented
130	C₁₃×#541	C₂²	1	4	yes	complemented
131	C₁₃×#540	C₂²	1	4	yes	complemented
132	C₁₃×#539	C₂²	1	8	yes	complemented
133	C₁₃×#539	C₂²	1	4	yes	complemented
134	C₁₃×#539	C₂²	1	4	yes	complemented
135	C₁₃×#539	C₂²	1	8	yes	complemented
136	C₁₃×#539	C₂²	1	8	yes	complemented
137	C₁₃×#539	C₂²	1	8	yes	complemented
138	C₁₃×#538	C₂²	1	8	yes	complemented
139	C₁₃×#538	C₂²	1	8	yes	complemented
140	C₁₃×#537	C₂²	1	1	yes	characteristic
141	C₁₃×#537	C₂²	1	4	yes	complemented
142	C₁₃×#536	C₂²	1	1	yes	characteristic
143	C₁₃×#536	C₂²	1	2	yes	—
144	C₁₃×#536	C₂²	1	8	yes	complemented
145	C₁₃×#536	C₂²	1	8	yes	complemented
146	C₁₃×#536	C₂²	1	4	yes	complemented
147	C₁₃×#536	C₂²	1	4	yes	complemented
148	C₁₃×#536	C₂²	1	4	yes	complemented
149	C₁₃×#536	C₂²	1	4	yes	complemented
150	C₁₃×#536	C₂²	1	4	yes	complemented
151	C₁₃×#536	C₂²	1	4	yes	complemented
152	C₁₃×#536	C₂²	1	2	yes	complemented
153	C₁₃×#536	C₂²	1	2	yes	complemented
154	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#533	C₂²	1	2	yes	complemented
156	C₁₃×#533	C₂²	1	2	yes	complemented
157	C₁₃×#533	C₂²	1	2	yes	complemented
158	C₁₃×#533	C₂²	1	2	yes	complemented
159	C₁₃×#533	C₂²	1	4	yes	complemented
160	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#532	C₂²	1	2	yes	—
162	C₁₃×#532	C₂²	1	1	yes	characteristic
163	C₁₃×#532	C₂²	1	2	yes	complemented
164	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
165	C₂×C₁₃×C₄⋊Q₈	C₂²	1	4	yes	complemented
166	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
167	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#529	C₂²	1	2	yes	complemented
169	C₁₃×#529	C₂²	1	4	yes	complemented
170	C₁₃×#529	C₂²	1	4	yes	complemented
171	C₁₃×#529	C₂²	1	2	yes	complemented
172	C₁₃×#529	C₂²	1	4	yes	complemented
173	C₁₃×#529	C₂²	1	2	yes	complemented
174	C₁₃×#529	C₂²	1	4	yes	complemented
175	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
176	C₁₃×#525	C₂²	1	4	yes	—
177	C₁₃×#525	C₂²	1	2	yes	—
178	C₁₃×#525	C₂²	1	4	yes	complemented
179	C₁₃×#525	C₂²	1	8	yes	complemented
180	C₁₃×#525	C₂²	1	2	yes	complemented
181	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
182	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
183	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
184	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
185	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
186	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
187	C₁₃×#520	C₂²	1	4	yes	—
188	C₁₃×#520	C₂²	1	2	yes	complemented
189	C₁₃×#519	C₂²	1	2	yes	complemented
190	C₁₃×#518	C₂²	1	4	yes	—
191	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
192	C₄×C₁₃×#41	C₂²	1	2	yes	—
193	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
194	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
196	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
197	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
198	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
199	C₁₃×2₋¹⁺⁴	—	4	8	no	—
200	C₂×C₁₃×#41	—	4	8	no	—
201	C₂×C₁₃×#41	C₂³	1	2	yes	—
202	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×#41	C₂³	1	2	yes	—
205	C₂×C₁₃×#41	C₂³	1	4	yes	—
206	C₂×C₁₃×#41	C₂³	1	8	yes	—
207	C₂×C₁₃×#41	C₂³	1	4	yes	—
208	C₂×C₁₃×#41	C₂³	1	4	yes	—
209	C₂×C₁₃×#41	C₂³	1	4	yes	—
210	C₂×C₁₃×#41	C₂³	1	2	yes	—
211	C₂×C₁₃×#41	C₂³	1	2	yes	—
212	C₂²×Q₈×C₁₃	—	4	8	no	—
213	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
214	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
215	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
216	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
217	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
218	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
219	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
221	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
222	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
223	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
225	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
226	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
227	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
228	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
229	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
230	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
232	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
233	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
234	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
235	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
236	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
237	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
238	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
239	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
240	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
241	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
242	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
243	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
244	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
245	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
246	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
247	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
248	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
250	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
251	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
252	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
253	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
254	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
255	C₁₃×#127	C₂³	1	1	yes	characteristic
256	C₁₃×#127	C₂³	1	2	yes	—
257	C₁₃×#126	C₂³	1	8	yes	—
258	C₁₃×#126	C₂³	1	8	yes	—
259	C₁₃×#126	C₂³	1	4	yes	—
260	C₁₃×#126	C₂³	1	4	yes	—
261	C₁₃×#126	C₂³	1	4	yes	—
262	C₁₃×#126	C₂³	1	4	yes	—
263	C₁₃×#126	C₂³	1	4	yes	—
264	C₁₃×#126	C₂³	1	4	yes	—
265	C₁₃×#126	C₂³	1	4	yes	—
266	C₁₃×#126	C₂³	1	8	yes	—
267	C₁₃×#126	C₂³	1	8	yes	—
268	C₁₃×#126	C₂³	1	8	yes	—
269	C₁₃×#126	C₂³	1	8	yes	—
270	C₁₃×#126	C₂³	1	8	yes	—
271	C₁₃×#126	C₂³	1	8	yes	—
272	C₁₃×#125	C₂³	1	2	yes	—
273	C₁₃×#125	C₂³	1	4	yes	—
274	C₁₃×#125	C₂³	1	2	yes	—
275	C₁₃×#125	C₂³	1	4	yes	—
276	C₁₃×#125	C₂³	1	2	yes	—
277	C₁₃×#125	C₂³	1	4	yes	—
278	C₁₃×#125	C₂³	1	4	yes	—
279	C₁₃×#125	C₂³	1	4	yes	—
280	C₁₃×#125	C₂³	1	4	yes	—
281	C₁₃×#125	C₂³	1	4	yes	—
282	C₁₃×#125	C₂³	1	2	yes	—
283	C₁₃×#125	C₂³	1	8	yes	—
284	C₁₃×#125	C₂³	1	8	yes	—
285	C₁₃×#125	C₂³	1	8	yes	—
286	C₁₃×#125	C₂³	1	8	yes	—
287	C₁₃×#125	C₂³	1	8	yes	—
288	C₁₃×#125	C₂³	1	8	yes	—
289	C₁₃×#124	C₂³	1	2	yes	—
290	C₁₃×#124	C₂³	1	4	yes	—
291	C₁₃×#124	C₂³	1	4	yes	—
292	C₁₃×#124	C₂³	1	8	yes	—
293	C₁₃×#124	C₂³	1	4	yes	—
294	C₁₃×#124	C₂³	1	8	yes	—
295	C₁₃×#124	C₂³	1	2	yes	—
296	C₁₃×#124	C₂³	1	4	yes	—
297	C₁₃×#124	C₂³	1	2	yes	—
298	C₁₃×#124	C₂³	1	4	yes	—
299	C₁₃×#124	C₂³	1	4	yes	—
300	C₁₃×#124	C₂³	1	2	yes	—
301	C₁₃×#124	C₂³	1	4	yes	—
302	C₁₃×#124	C₂³	1	8	yes	—
303	C₁₃×#124	C₂³	1	8	yes	—
304	C₁₃×#124	C₂³	1	8	yes	—
305	C₁₃×#124	C₂³	1	8	yes	—
306	C₁₃×#123	C₂³	1	4	yes	—
307	C₁₃×#123	C₂³	1	8	yes	—
308	C₁₃×#123	C₂³	1	8	yes	—
309	C₁₃×#123	C₂³	1	8	yes	—
310	C₁₃×#123	C₂³	1	8	yes	—
311	C₁₃×#123	C₂³	1	8	yes	—
312	C₁₃×#123	C₂³	1	8	yes	—
313	C₁₃×#123	C₂³	1	8	yes	—
314	C₁₃×#123	C₂³	1	4	yes	—
315	C₁₃×#123	C₂³	1	4	yes	—
316	C₁₃×#123	C₂³	1	4	yes	—
317	C₁₃×#123	C₂³	1	4	yes	—
318	C₁₃×#123	C₂³	1	4	yes	—
319	C₁₃×#123	C₂³	1	8	yes	—
320	C₁₃×#123	C₂³	1	4	yes	—
321	C₁₃×#123	C₂³	1	4	yes	—
322	C₁₃×#123	C₂³	1	8	yes	—
323	C₁₃×#123	C₂³	1	4	yes	—
324	C₁₃×#123	C₂³	1	4	yes	—
325	C₁₃×#123	C₂³	1	4	yes	—
326	C₁₃×#123	C₂³	1	8	yes	—
327	C₁₃×#123	C₂³	1	8	yes	—
328	C₁₃×#123	C₂³	1	8	yes	—
329	C₁₃×#123	C₂³	1	8	yes	—
330	C₁₃×#123	C₂³	1	8	yes	—
331	C₁₃×#123	C₂³	1	8	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
333	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
339	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
341	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
345	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
346	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
348	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
350	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
351	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
352	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
353	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
354	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
355	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
356	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
357	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
358	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
359	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
360	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
361	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
363	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
364	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
365	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
366	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
367	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
368	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
369	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
370	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
371	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
372	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
373	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
374	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
375	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
376	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
377	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
378	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
379	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
380	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
381	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
382	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
383	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
384	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
385	C₁₃×#121	C₂³	1	2	yes	—
386	C₁₃×#121	C₂³	1	4	yes	—
387	C₁₃×#121	C₂³	1	4	yes	—
388	C₁₃×#121	C₂³	1	2	yes	—
389	C₁₃×#121	C₂³	1	2	yes	—
390	C₁₃×#121	C₂³	1	2	yes	—
391	C₁₃×#121	C₂³	1	2	yes	—
392	C₁₃×#121	C₂³	1	8	yes	—
393	C₁₃×#121	C₂³	1	8	yes	—
394	C₁₃×#121	C₂³	1	2	yes	—
395	C₁₃×#121	C₂³	1	4	yes	—
396	C₁₃×#121	C₂³	1	2	yes	—
397	C₁₃×#121	C₂³	1	4	yes	—
398	C₁₃×#121	C₂³	1	2	yes	—
399	C₁₃×#121	C₂³	1	2	yes	—
400	C₁₃×#121	C₂³	1	2	yes	—
401	C₁₃×#121	C₂³	1	2	yes	—
402	C₁₃×#121	C₂³	1	4	yes	—
403	C₁₃×#121	C₂³	1	4	yes	—
404	C₁₃×#121	C₂³	1	4	yes	—
405	C₁₃×#121	C₂³	1	8	yes	—
406	C₁₃×#121	C₂³	1	8	yes	—
407	C₁₃×#121	C₂³	1	8	yes	—
408	C₁₃×#120	C₂³	1	4	yes	—
409	C₁₃×#120	C₂³	1	4	yes	—
410	C₁₃×#120	C₂³	1	4	yes	—
411	C₁₃×#120	C₂³	1	4	yes	—
412	C₁₃×#120	C₂³	1	8	yes	—
413	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
414	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
415	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
416	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
417	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
418	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
419	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
420	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
421	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
422	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
423	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
424	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
425	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
426	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
427	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
428	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
429	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
430	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
431	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
432	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
433	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
434	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
435	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
436	C₄×D₄×C₁₃	C₂³	1	4	yes	—
437	C₄×D₄×C₁₃	C₂³	1	2	yes	—
438	C₄×D₄×C₁₃	C₂³	1	4	yes	—
439	C₄×D₄×C₁₃	C₂³	1	2	yes	—
440	C₄×D₄×C₁₃	C₂³	1	2	yes	—
441	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
442	C₄×D₄×C₁₃	C₂³	1	2	yes	—
443	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
444	C₄×D₄×C₁₃	C₂³	1	8	yes	—
445	C₄×D₄×C₁₃	C₂³	1	4	yes	—
446	C₄×D₄×C₁₃	C₂³	1	4	yes	—
447	C₄×D₄×C₁₃	C₂³	1	2	yes	—
448	C₄×D₄×C₁₃	C₂³	1	2	yes	—
449	C₄×D₄×C₁₃	C₂³	1	4	yes	—
450	C₄×D₄×C₁₃	C₂³	1	2	yes	—
451	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
452	C₄×D₄×C₁₃	C₂³	1	4	yes	—
453	C₄×D₄×C₁₃	C₂³	1	2	yes	—
454	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₁₃	C₂³	1	2	yes	—
456	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₁₃	C₂³	1	2	yes	—
458	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
459	C₄×D₄×C₁₃	C₂³	1	8	yes	—
460	C₄×D₄×C₁₃	C₂³	1	8	yes	—
461	C₄×D₄×C₁₃	C₂³	1	4	yes	—
462	C₄×D₄×C₁₃	C₂³	1	4	yes	—
463	C₄×D₄×C₁₃	C₂³	1	8	yes	—
464	C₄×D₄×C₁₃	C₂³	1	8	yes	—
465	C₄×D₄×C₁₃	C₂³	1	8	yes	—
466	C₄×D₄×C₁₃	C₂³	1	4	yes	—
467	C₄×D₄×C₁₃	C₂³	1	2	yes	—
468	C₄×D₄×C₁₃	C₂³	1	4	yes	—
469	C₄×D₄×C₁₃	C₂³	1	4	yes	—
470	C₄×D₄×C₁₃	C₂³	1	8	yes	—
471	C₄×D₄×C₁₃	C₂³	1	8	yes	—
472	C₄×D₄×C₁₃	C₂³	1	8	yes	—
473	C₄×D₄×C₁₃	C₂³	1	4	yes	—
474	C₄×D₄×C₁₃	C₂³	1	4	yes	—
475	C₁₃×#117	C₂³	1	1	yes	characteristic
476	C₁₃×#117	C₂³	1	2	yes	—
477	C₁₃×#117	C₂³	1	4	yes	—
478	C₁₃×#117	C₂³	1	4	yes	—
479	C₁₃×#117	C₂³	1	2	yes	—
480	C₁₃×#117	C₂³	1	2	yes	—
481	C₁₃×#117	C₂³	1	1	yes	characteristic
482	C₁₃×#117	C₂³	1	2	yes	—
483	C₁₃×#117	C₂³	1	4	yes	—
484	C₁₃×#117	C₂³	1	2	yes	—
485	C₁₃×#117	C₂³	1	2	yes	—
486	C₁₃×#117	C₂³	1	4	yes	—
487	C₁₃×#117	C₂³	1	4	yes	—
488	C₁₃×#117	C₂³	1	8	yes	—
489	C₁₃×#117	C₂³	1	4	yes	—
490	C₁₃×#117	C₂³	1	8	yes	—
491	C₁₃×#117	C₂³	1	4	yes	—
492	C₁₃×#117	C₂³	1	8	yes	—
493	C₁₃×#117	C₂³	1	8	yes	—
494	C₁₃×#117	C₂³	1	4	yes	—
495	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
496	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
497	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
498	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
499	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
500	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
501	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
502	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
503	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
504	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
505	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
506	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
507	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
508	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
509	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
510	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
511	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
512	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
513	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
514	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
515	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
516	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
517	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
518	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
519	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
520	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
521	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
522	#62942	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
523	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
524	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
525	C₁₃×#41	—	2	8	no	—
526	C₁₃×#41	—	2	4	no	—
527	C₁₃×#41	—	2	8	no	—
528	C₁₃×#41	—	2	4	no	—
529	C₁₃×#41	—	4	8	no	—
530	C₁₃×#41	—	4	8	no	—
531	C₁₃×#41	—	4	16	no	—
532	C₁₃×#41	—	4	4	no	—
533	C₁₃×#41	—	4	4	no	—
534	C₁₃×#41	—	4	8	no	—
535	C₁₃×#41	—	4	8	no	—
536	C₂×Q₈×C₁₃	—	2	4	no	—
537	C₂×Q₈×C₁₃	—	2	8	no	—
538	C₂×Q₈×C₁₃	—	4	8	no	—
539	C₂×Q₈×C₁₃	—	4	8	no	—
540	C₂×Q₈×C₁₃	—	4	8	no	—
541	C₂×Q₈×C₁₃	—	4	8	no	—
542	C₂×Q₈×C₁₃	—	4	8	no	—
543	C₂×Q₈×C₁₃	—	4	4	no	—
544	C₂×Q₈×C₁₃	—	4	8	no	—
545	C₂×Q₈×C₁₃	—	4	8	no	—
546	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
549	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
551	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
552	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
553	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
555	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
556	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
557	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
558	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
559	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
560	C₂×D₄×C₁₃	—	2	4	no	—
561	C₂×D₄×C₁₃	—	2	8	no	—
562	C₂×D₄×C₁₃	—	4	4	no	—
563	C₂×D₄×C₁₃	—	4	8	no	—
564	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
565	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
566	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
567	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
568	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
569	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
570	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
571	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
572	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
573	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
575	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
576	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
577	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
578	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
579	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
580	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
581	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
582	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
583	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₁₃	—	2	8	no	—
585	C₂²×C₄×C₁₃	—	4	8	no	—
586	C₂²×C₄×C₁₃	—	4	8	no	—
587	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
589	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
590	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
591	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
592	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
593	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
594	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
595	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
596	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
597	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
598	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
599	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
600	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
601	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
602	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
603	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
604	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
605	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
606	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
607	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
608	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
609	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
610	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
611	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
612	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
613	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
614	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
616	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
622	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
623	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
624	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
626	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
627	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
628	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
629	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
630	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
631	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
632	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
635	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
636	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
637	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
638	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
639	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
640	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
642	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
644	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
645	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
646	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
647	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
648	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
649	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
650	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
651	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
652	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
653	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
654	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
655	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
658	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
659	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
660	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
661	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
662	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
663	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
664	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
665	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
666	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
667	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
668	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
669	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
670	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
671	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
672	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
673	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
674	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
676	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
677	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
678	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
680	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
681	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
682	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
683	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
684	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
686	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
687	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
688	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
689	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
690	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
691	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
692	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
693	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
694	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
695	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
696	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
697	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
698	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
700	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
701	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
705	C₄²×C₁₃	C₂⁴	1	2	yes	—
706	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
707	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
708	C₄²×C₁₃	C₂⁴	1	4	yes	—
709	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
710	C₄²×C₁₃	C₂⁴	1	2	yes	—
711	C₄²×C₁₃	C₂⁴	1	2	yes	—
712	C₄²×C₁₃	C₂⁴	1	4	yes	—
713	C₄²×C₁₃	C₂⁴	1	4	yes	—
714	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
715	C₄²×C₁₃	C₂⁴	1	2	yes	—
716	C₄²×C₁₃	C₂⁴	1	2	yes	—
717	C₄²×C₁₃	C₂⁴	1	4	yes	—
718	C₄²×C₁₃	C₂⁴	1	4	yes	—
719	C₄²×C₁₃	C₂⁴	1	2	yes	—
720	C₄²×C₁₃	C₂⁴	1	8	yes	—
721	C₄²×C₁₃	C₂⁴	1	8	yes	—
722	C₄²×C₁₃	C₂⁴	1	8	yes	—
723	#3561	C₂×C₁₃	1	4	yes	complemented
724	#3554	C₂×C₁₃	1	2	yes	complemented
725	#3552	C₂×C₁₃	1	2	yes	complemented
726	#3552	C₂×C₁₃	1	4	yes	complemented
727	#3550	C₂×C₁₃	1	2	yes	complemented
728	#3547	C₂×C₁₃	1	2	yes	complemented
729	#3544	C₂×C₁₃	1	4	yes	complemented
730	#3541	C₂×C₁₃	1	4	yes	complemented
731	#3538	C₂×C₁₃	1	4	yes	complemented
732	#3535	C₂×C₁₃	1	8	yes	complemented
733	#3520	C₂×C₁₃	1	2	yes	complemented
734	#3514	C₂×C₁₃	1	2	yes	complemented
735	#3513	C₂×C₁₃	1	4	yes	complemented
736	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
737	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
738	#3503	C₂×C₁₃	1	2	yes	complemented
739	#3501	C₂×C₁₃	1	2	yes	complemented
740	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
741	#3495	C₂×C₁₃	1	2	yes	complemented
742	#3489	C₂×C₁₃	1	2	yes	complemented
743	#3486	C₂×C₁₃	1	2	yes	complemented
744	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
745	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
746	C₂×D₄×Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
747	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
748	C₂×#536	C₂×C₁₃	1	2	yes	complemented
749	C₂³×C₁₃	—	2	4	no	—
750	C₂³×C₁₃	—	2	4	no	—
751	C₂³×C₁₃	—	2	8	no	—
752	C₂³×C₁₃	—	4	2	no	—
753	C₂³×C₁₃	—	4	4	no	—
754	C₂³×C₁₃	—	4	4	no	—
755	C₂³×C₁₃	C₂⁵	1	2	yes	—
756	C₂³×C₁₃	C₂⁵	1	2	yes	—
757	C₂³×C₁₃	C₂⁵	1	4	yes	—
758	C₂³×C₁₃	C₂⁵	1	2	yes	—
759	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
760	C₂³×C₁₃	C₂⁵	1	2	yes	—
761	Q₈×C₁₃	—	2	4	no	—
762	Q₈×C₁₃	—	2	4	no	—
763	Q₈×C₁₃	—	2	8	no	—
764	Q₈×C₁₃	—	2	8	no	—
765	Q₈×C₁₃	—	2	2	no	—
766	Q₈×C₁₃	—	2	4	no	—
767	Q₈×C₁₃	—	2	2	no	—
768	Q₈×C₁₃	—	2	4	no	—
769	Q₈×C₁₃	—	4	8	no	—
770	Q₈×C₁₃	—	4	8	no	—
771	Q₈×C₁₃	—	4	8	no	—
772	Q₈×C₁₃	—	4	4	no	—
773	Q₈×C₁₃	—	4	2	no	—
774	Q₈×C₁₃	—	4	4	no	—
775	D₄×C₁₃	—	2	4	no	—
776	D₄×C₁₃	—	2	8	no	—
777	D₄×C₁₃	—	2	4	no	—
778	D₄×C₁₃	—	2	4	no	—
779	D₄×C₁₃	—	2	8	no	—
780	D₄×C₁₃	—	2	8	no	—
781	D₄×C₁₃	—	2	2	no	—
782	D₄×C₁₃	—	2	4	no	—
783	D₄×C₁₃	—	2	2	no	—
784	D₄×C₁₃	—	2	2	no	—
785	D₄×C₁₃	—	2	4	no	—
786	D₄×C₁₃	—	4	4	no	—
787	D₄×C₁₃	—	4	4	no	—
788	D₄×C₁₃	—	4	4	no	—
789	D₄×C₁₃	—	4	2	no	—
790	D₄×C₁₃	—	4	4	no	—
791	D₄×C₁₃	—	4	4	no	—
792	D₄×C₁₃	—	4	4	no	—
793	D₄×C₁₃	—	4	8	no	—
794	D₄×C₁₃	2₋¹⁺⁴	1	4	yes	complemented
795	C₂×C₄×C₁₃	—	2	4	no	—
796	C₂×C₄×C₁₃	—	2	4	no	—
797	C₂×C₄×C₁₃	—	2	8	no	—
798	C₂×C₄×C₁₃	—	2	8	no	—
799	C₂×C₄×C₁₃	—	2	4	no	—
800	C₂×C₄×C₁₃	—	2	4	no	—
801	C₂×C₄×C₁₃	—	2	4	no	—
802	C₂×C₄×C₁₃	—	2	4	no	—
803	C₂×C₄×C₁₃	—	2	4	no	—
804	C₂×C₄×C₁₃	—	2	8	no	—
805	C₂×C₄×C₁₃	—	2	4	no	—
806	C₂×C₄×C₁₃	—	2	2	no	—
807	C₂×C₄×C₁₃	—	2	4	no	—
808	C₂×C₄×C₁₃	—	2	4	no	—
809	C₂×C₄×C₁₃	—	4	4	no	—
810	C₂×C₄×C₁₃	—	4	8	no	—
811	C₂×C₄×C₁₃	—	4	8	no	—
812	C₂×C₄×C₁₃	—	4	4	no	—
813	C₂×C₄×C₁₃	—	4	4	no	—
814	C₂×C₄×C₁₃	—	4	1	no	—
815	C₂×C₄×C₁₃	—	4	2	no	—
816	C₂×C₄×C₁₃	—	4	2	no	—
817	C₂×C₄×C₁₃	—	4	8	no	—
818	C₂×C₄×C₁₃	—	4	4	no	—
819	C₂×C₄×C₁₃	—	4	2	no	—
820	C₂×C₄×C₁₃	—	4	8	no	—
821	C₂×C₄×C₁₃	—	4	8	no	—
822	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
823	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
824	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
826	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
827	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
828	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
829	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
830	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
831	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
832	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
834	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
835	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
836	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
837	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
838	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
839	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
840	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
841	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
842	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
843	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
844	C₂²×#41	C₂²×C₁₃	1	2	yes	—
845	C₂³×Q₈	C₂²×C₁₃	1	2	yes	complemented
846	#563	C₂²×C₁₃	1	8	yes	complemented
847	#563	C₂²×C₁₃	1	8	yes	complemented
848	#563	C₂²×C₁₃	1	8	yes	complemented
849	#563	C₂²×C₁₃	1	8	yes	complemented
850	#562	C₂²×C₁₃	1	8	yes	complemented
851	#562	C₂²×C₁₃	1	8	yes	complemented
852	#559	C₂²×C₁₃	1	2	yes	complemented
853	#559	C₂²×C₁₃	1	4	yes	complemented
854	Q₈²	C₂²×C₁₃	1	4	yes	complemented
855	#557	C₂²×C₁₃	1	2	yes	complemented
856	#557	C₂²×C₁₃	1	2	yes	complemented
857	#557	C₂²×C₁₃	1	2	yes	complemented
858	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#556	C₂²×C₁₃	1	4	yes	complemented
860	#556	C₂²×C₁₃	1	2	yes	complemented
861	#556	C₂²×C₁₃	1	4	yes	complemented
862	#556	C₂²×C₁₃	1	2	yes	complemented
863	#556	C₂²×C₁₃	1	2	yes	complemented
864	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
865	#555	C₂²×C₁₃	1	4	yes	complemented
866	#554	C₂²×C₁₃	1	1	yes	characteristic
867	#554	C₂²×C₁₃	1	4	yes	—
868	#554	C₂²×C₁₃	1	4	yes	complemented
869	#554	C₂²×C₁₃	1	2	yes	complemented
870	#554	C₂²×C₁₃	1	8	yes	complemented
871	#554	C₂²×C₁₃	1	4	yes	complemented
872	#554	C₂²×C₁₃	1	8	yes	complemented
873	#554	C₂²×C₁₃	1	4	yes	complemented
874	#553	C₂²×C₁₃	1	2	yes	complemented
875	#553	C₂²×C₁₃	1	8	yes	complemented
876	#553	C₂²×C₁₃	1	4	yes	complemented
877	#552	C₂²×C₁₃	1	2	yes	complemented
878	#552	C₂²×C₁₃	1	2	yes	complemented
879	#552	C₂²×C₁₃	1	4	yes	complemented
880	#552	C₂²×C₁₃	1	8	yes	complemented
881	#552	C₂²×C₁₃	1	4	yes	complemented
882	#552	C₂²×C₁₃	1	4	yes	complemented
883	#552	C₂²×C₁₃	1	4	yes	complemented
884	#552	C₂²×C₁₃	1	4	yes	complemented
885	#551	C₂²×C₁₃	1	4	yes	complemented
886	#551	C₂²×C₁₃	1	8	yes	complemented
887	#551	C₂²×C₁₃	1	8	yes	complemented
888	#551	C₂²×C₁₃	1	8	yes	complemented
889	#551	C₂²×C₁₃	1	8	yes	complemented
890	#550	C₂²×C₁₃	1	1	yes	characteristic
891	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
892	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
893	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
894	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
895	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
896	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
897	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
898	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
899	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
900	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
901	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
902	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
903	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
904	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
905	#548	C₂²×C₁₃	1	2	yes	—
906	#548	C₂²×C₁₃	1	4	yes	complemented
907	#548	C₂²×C₁₃	1	4	yes	complemented
908	#548	C₂²×C₁₃	1	4	yes	complemented
909	#548	C₂²×C₁₃	1	4	yes	complemented
910	#548	C₂²×C₁₃	1	4	yes	complemented
911	#547	C₂²×C₁₃	1	2	yes	—
912	#547	C₂²×C₁₃	1	1	yes	characteristic
913	#547	C₂²×C₁₃	1	1	yes	characteristic
914	#547	C₂²×C₁₃	1	8	yes	complemented
915	#547	C₂²×C₁₃	1	4	yes	complemented
916	#547	C₂²×C₁₃	1	4	yes	complemented
917	#547	C₂²×C₁₃	1	2	yes	complemented
918	#547	C₂²×C₁₃	1	4	yes	complemented
919	#547	C₂²×C₁₃	1	2	yes	complemented
920	#546	C₂²×C₁₃	1	4	yes	—
921	#546	C₂²×C₁₃	1	2	yes	—
922	#546	C₂²×C₁₃	1	2	yes	—
923	#546	C₂²×C₁₃	1	4	yes	—
924	#546	C₂²×C₁₃	1	8	yes	complemented
925	#546	C₂²×C₁₃	1	4	yes	complemented
926	D₄²	C₂²×C₁₃	1	2	yes	—
927	D₄²	C₂²×C₁₃	1	1	yes	characteristic
928	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#544	C₂²×C₁₃	1	4	yes	complemented
930	#544	C₂²×C₁₃	1	8	yes	complemented
931	#544	C₂²×C₁₃	1	4	yes	complemented
932	#544	C₂²×C₁₃	1	8	yes	complemented
933	#543	C₂²×C₁₃	1	8	yes	complemented
934	#542	C₂²×C₁₃	1	2	yes	complemented
935	#542	C₂²×C₁₃	1	2	yes	complemented
936	#542	C₂²×C₁₃	1	4	yes	complemented
937	#542	C₂²×C₁₃	1	4	yes	complemented
938	#542	C₂²×C₁₃	1	4	yes	complemented
939	#542	C₂²×C₁₃	1	4	yes	complemented
940	#542	C₂²×C₁₃	1	8	yes	complemented
941	#542	C₂²×C₁₃	1	8	yes	complemented
942	#542	C₂²×C₁₃	1	8	yes	complemented
943	#541	C₂²×C₁₃	1	2	yes	complemented
944	#541	C₂²×C₁₃	1	2	yes	complemented
945	#541	C₂²×C₁₃	1	4	yes	complemented
946	#541	C₂²×C₁₃	1	4	yes	complemented
947	#540	C₂²×C₁₃	1	4	yes	complemented
948	#539	C₂²×C₁₃	1	4	yes	complemented
949	#539	C₂²×C₁₃	1	4	yes	complemented
950	#539	C₂²×C₁₃	1	8	yes	complemented
951	#539	C₂²×C₁₃	1	8	yes	complemented
952	#539	C₂²×C₁₃	1	8	yes	complemented
953	#539	C₂²×C₁₃	1	8	yes	complemented
954	#538	C₂²×C₁₃	1	8	yes	complemented
955	#538	C₂²×C₁₃	1	8	yes	complemented
956	#537	C₂²×C₁₃	1	1	yes	characteristic
957	#537	C₂²×C₁₃	1	4	yes	complemented
958	#536	C₂²×C₁₃	1	1	yes	characteristic
959	#536	C₂²×C₁₃	1	2	yes	—
960	#536	C₂²×C₁₃	1	2	yes	complemented
961	#536	C₂²×C₁₃	1	2	yes	complemented
962	#536	C₂²×C₁₃	1	8	yes	complemented
963	#536	C₂²×C₁₃	1	4	yes	complemented
964	#536	C₂²×C₁₃	1	4	yes	complemented
965	#536	C₂²×C₁₃	1	4	yes	complemented
966	#536	C₂²×C₁₃	1	4	yes	complemented
967	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#536	C₂²×C₁₃	1	8	yes	complemented
969	#536	C₂²×C₁₃	1	4	yes	complemented
970	#536	C₂²×C₁₃	1	4	yes	complemented
971	#533	C₂²×C₁₃	1	2	yes	complemented
972	#533	C₂²×C₁₃	1	2	yes	complemented
973	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#533	C₂²×C₁₃	1	4	yes	complemented
975	#533	C₂²×C₁₃	1	2	yes	complemented
976	#533	C₂²×C₁₃	1	2	yes	complemented
977	#532	C₂²×C₁₃	1	1	yes	characteristic
978	#532	C₂²×C₁₃	1	2	yes	—
979	#532	C₂²×C₁₃	1	2	yes	complemented
980	C₂×C₄⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
981	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
983	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
984	#529	C₂²×C₁₃	1	4	yes	complemented
985	#529	C₂²×C₁₃	1	2	yes	complemented
986	#529	C₂²×C₁₃	1	2	yes	complemented
987	#529	C₂²×C₁₃	1	2	yes	complemented
988	#529	C₂²×C₁₃	1	4	yes	complemented
989	#529	C₂²×C₁₃	1	4	yes	complemented
990	#529	C₂²×C₁₃	1	4	yes	complemented
991	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
992	#525	C₂²×C₁₃	1	2	yes	—
993	#525	C₂²×C₁₃	1	4	yes	—
994	#525	C₂²×C₁₃	1	2	yes	complemented
995	#525	C₂²×C₁₃	1	8	yes	complemented
996	#525	C₂²×C₁₃	1	4	yes	complemented
997	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
998	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
999	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
1000	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
1001	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
1002	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
1003	#520	C₂²×C₁₃	1	4	yes	—
1004	#520	C₂²×C₁₃	1	2	yes	complemented
1005	#519	C₂²×C₁₃	1	2	yes	complemented
1006	#518	C₂²×C₁₃	1	4	yes	—
1007	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
1008	C₄×#41	C₂²×C₁₃	1	2	yes	—
1009	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1011	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
1012	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
1013	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
1014	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
1015	C₂²×C₁₃	—	2	2	no	—
1016	C₂²×C₁₃	—	2	1	no	—
1017	C₂²×C₁₃	—	2	1	no	—
1018	C₂²×C₁₃	—	2	2	no	—
1019	C₂²×C₁₃	—	2	2	no	—
1020	C₂²×C₁₃	—	2	2	no	—
1021	C₂²×C₁₃	—	2	4	no	—
1022	C₂²×C₁₃	—	2	2	no	—
1023	C₂²×C₁₃	—	2	2	no	—
1024	C₂²×C₁₃	—	2	2	no	—
1025	C₂²×C₁₃	—	2	2	no	—
1026	C₂²×C₁₃	—	2	4	no	—
1027	C₂²×C₁₃	—	2	4	no	—
1028	C₂²×C₁₃	—	2	2	no	—
1029	C₂²×C₁₃	—	2	2	no	—
1030	C₂²×C₁₃	—	2	2	no	—
1031	C₂²×C₁₃	—	4	8	no	—
1032	C₂²×C₁₃	—	8	8	no	—
1033	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1034	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
1035	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1036	C₄×C₁₃	—	2	2	no	—
1037	C₄×C₁₃	—	2	2	no	—
1038	C₄×C₁₃	—	2	2	no	—
1039	C₄×C₁₃	—	2	4	no	—
1040	C₄×C₁₃	—	2	2	no	—
1041	C₄×C₁₃	—	2	8	no	—
1042	C₄×C₁₃	—	2	4	no	—
1043	C₄×C₁₃	—	2	2	no	—
1044	C₄×C₁₃	—	2	1	no	—
1045	C₄×C₁₃	—	2	2	no	—
1046	C₄×C₁₃	—	2	4	no	—
1047	C₄×C₁₃	—	2	1	no	—
1048	C₄×C₁₃	—	2	4	no	—
1049	C₄×C₁₃	—	2	4	no	—
1050	C₄×C₁₃	—	2	1	no	—
1051	C₄×C₁₃	—	2	2	no	—
1052	C₄×C₁₃	—	2	2	no	—
1053	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1054	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1055	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1056	2₋¹⁺⁴	—	4	8	no	—
1057	C₂×#41	—	4	8	no	—
1058	C₂×#41	C₂³×C₁₃	1	2	yes	—
1059	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×#41	C₂³×C₁₃	1	2	yes	—
1062	C₂×#41	C₂³×C₁₃	1	4	yes	—
1063	C₂×#41	C₂³×C₁₃	1	8	yes	—
1064	C₂×#41	C₂³×C₁₃	1	4	yes	—
1065	C₂×#41	C₂³×C₁₃	1	4	yes	—
1066	C₂×#41	C₂³×C₁₃	1	4	yes	—
1067	C₂×#41	C₂³×C₁₃	1	2	yes	—
1068	C₂×#41	C₂³×C₁₃	1	2	yes	—
1069	C₂²×Q₈	—	4	8	no	—
1070	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1072	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1073	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1074	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1075	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1076	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1077	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1078	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1079	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1080	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1082	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1083	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1084	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1085	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1086	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1087	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1088	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1089	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1090	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1091	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1092	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1093	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1094	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1095	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1096	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1097	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1098	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1099	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1100	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1101	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1102	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1103	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1104	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1105	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1106	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1107	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1108	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1109	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1110	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1111	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1112	#127	C₂³×C₁₃	1	1	yes	characteristic
1113	#127	C₂³×C₁₃	1	2	yes	—
1114	#126	C₂³×C₁₃	1	8	yes	—
1115	#126	C₂³×C₁₃	1	8	yes	—
1116	#126	C₂³×C₁₃	1	4	yes	—
1117	#126	C₂³×C₁₃	1	4	yes	—
1118	#126	C₂³×C₁₃	1	4	yes	—
1119	#126	C₂³×C₁₃	1	4	yes	—
1120	#126	C₂³×C₁₃	1	4	yes	—
1121	#126	C₂³×C₁₃	1	4	yes	—
1122	#126	C₂³×C₁₃	1	4	yes	—
1123	#126	C₂³×C₁₃	1	8	yes	—
1124	#126	C₂³×C₁₃	1	8	yes	—
1125	#126	C₂³×C₁₃	1	8	yes	—
1126	#126	C₂³×C₁₃	1	8	yes	—
1127	#126	C₂³×C₁₃	1	8	yes	—
1128	#126	C₂³×C₁₃	1	8	yes	—
1129	#125	C₂³×C₁₃	1	2	yes	—
1130	#125	C₂³×C₁₃	1	4	yes	—
1131	#125	C₂³×C₁₃	1	2	yes	—
1132	#125	C₂³×C₁₃	1	4	yes	—
1133	#125	C₂³×C₁₃	1	2	yes	—
1134	#125	C₂³×C₁₃	1	4	yes	—
1135	#125	C₂³×C₁₃	1	4	yes	—
1136	#125	C₂³×C₁₃	1	4	yes	—
1137	#125	C₂³×C₁₃	1	4	yes	—
1138	#125	C₂³×C₁₃	1	4	yes	—
1139	#125	C₂³×C₁₃	1	2	yes	—
1140	#125	C₂³×C₁₃	1	8	yes	—
1141	#125	C₂³×C₁₃	1	8	yes	—
1142	#125	C₂³×C₁₃	1	8	yes	—
1143	#125	C₂³×C₁₃	1	8	yes	—
1144	#125	C₂³×C₁₃	1	8	yes	—
1145	#125	C₂³×C₁₃	1	8	yes	—
1146	#124	C₂³×C₁₃	1	2	yes	—
1147	#124	C₂³×C₁₃	1	4	yes	—
1148	#124	C₂³×C₁₃	1	4	yes	—
1149	#124	C₂³×C₁₃	1	8	yes	—
1150	#124	C₂³×C₁₃	1	4	yes	—
1151	#124	C₂³×C₁₃	1	8	yes	—
1152	#124	C₂³×C₁₃	1	2	yes	—
1153	#124	C₂³×C₁₃	1	4	yes	—
1154	#124	C₂³×C₁₃	1	2	yes	—
1155	#124	C₂³×C₁₃	1	4	yes	—
1156	#124	C₂³×C₁₃	1	4	yes	—
1157	#124	C₂³×C₁₃	1	2	yes	—
1158	#124	C₂³×C₁₃	1	4	yes	—
1159	#124	C₂³×C₁₃	1	8	yes	—
1160	#124	C₂³×C₁₃	1	8	yes	—
1161	#124	C₂³×C₁₃	1	8	yes	—
1162	#124	C₂³×C₁₃	1	8	yes	—
1163	#123	C₂³×C₁₃	1	4	yes	—
1164	#123	C₂³×C₁₃	1	8	yes	—
1165	#123	C₂³×C₁₃	1	8	yes	—
1166	#123	C₂³×C₁₃	1	8	yes	—
1167	#123	C₂³×C₁₃	1	8	yes	—
1168	#123	C₂³×C₁₃	1	8	yes	—
1169	#123	C₂³×C₁₃	1	8	yes	—
1170	#123	C₂³×C₁₃	1	8	yes	—
1171	#123	C₂³×C₁₃	1	4	yes	—
1172	#123	C₂³×C₁₃	1	4	yes	—
1173	#123	C₂³×C₁₃	1	4	yes	—
1174	#123	C₂³×C₁₃	1	4	yes	—
1175	#123	C₂³×C₁₃	1	4	yes	—
1176	#123	C₂³×C₁₃	1	8	yes	—
1177	#123	C₂³×C₁₃	1	4	yes	—
1178	#123	C₂³×C₁₃	1	4	yes	—
1179	#123	C₂³×C₁₃	1	8	yes	—
1180	#123	C₂³×C₁₃	1	4	yes	—
1181	#123	C₂³×C₁₃	1	4	yes	—
1182	#123	C₂³×C₁₃	1	4	yes	—
1183	#123	C₂³×C₁₃	1	8	yes	—
1184	#123	C₂³×C₁₃	1	8	yes	—
1185	#123	C₂³×C₁₃	1	8	yes	—
1186	#123	C₂³×C₁₃	1	8	yes	—
1187	#123	C₂³×C₁₃	1	8	yes	—
1188	#123	C₂³×C₁₃	1	8	yes	—
1189	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1190	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1191	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1192	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1193	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1194	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1195	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1196	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1197	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1198	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1199	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1200	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1201	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1202	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1203	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1204	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1205	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1206	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1207	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1208	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1209	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1210	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1211	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1212	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1213	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1214	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1215	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1216	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1217	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1218	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1219	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1220	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1221	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1222	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1223	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1224	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1225	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1226	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1227	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1228	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1229	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1230	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1231	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1232	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1233	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1234	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1235	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1236	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1237	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1238	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1239	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1240	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1241	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1242	#121	C₂³×C₁₃	1	2	yes	—
1243	#121	C₂³×C₁₃	1	4	yes	—
1244	#121	C₂³×C₁₃	1	4	yes	—
1245	#121	C₂³×C₁₃	1	2	yes	—
1246	#121	C₂³×C₁₃	1	2	yes	—
1247	#121	C₂³×C₁₃	1	2	yes	—
1248	#121	C₂³×C₁₃	1	2	yes	—
1249	#121	C₂³×C₁₃	1	8	yes	—
1250	#121	C₂³×C₁₃	1	8	yes	—
1251	#121	C₂³×C₁₃	1	2	yes	—
1252	#121	C₂³×C₁₃	1	4	yes	—
1253	#121	C₂³×C₁₃	1	2	yes	—
1254	#121	C₂³×C₁₃	1	4	yes	—
1255	#121	C₂³×C₁₃	1	2	yes	—
1256	#121	C₂³×C₁₃	1	2	yes	—
1257	#121	C₂³×C₁₃	1	2	yes	—
1258	#121	C₂³×C₁₃	1	2	yes	—
1259	#121	C₂³×C₁₃	1	4	yes	—
1260	#121	C₂³×C₁₃	1	4	yes	—
1261	#121	C₂³×C₁₃	1	4	yes	—
1262	#121	C₂³×C₁₃	1	8	yes	—
1263	#121	C₂³×C₁₃	1	8	yes	—
1264	#121	C₂³×C₁₃	1	8	yes	—
1265	#120	C₂³×C₁₃	1	4	yes	—
1266	#120	C₂³×C₁₃	1	4	yes	—
1267	#120	C₂³×C₁₃	1	4	yes	—
1268	#120	C₂³×C₁₃	1	4	yes	—
1269	#120	C₂³×C₁₃	1	8	yes	—
1270	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1271	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1272	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1273	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1274	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1275	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1276	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1277	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1278	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1279	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1280	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1281	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1282	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1283	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1284	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1285	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1286	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1287	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1288	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1289	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1290	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1291	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1292	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1293	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1294	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1295	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1296	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1297	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1298	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1299	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1300	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1301	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1302	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1303	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1304	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1305	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1306	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1307	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1308	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1309	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1310	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1311	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1312	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1313	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1314	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1315	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1316	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1317	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1318	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1319	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1320	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1321	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1322	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1323	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1324	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1325	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1326	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1327	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1328	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1329	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1330	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1331	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1332	#117	C₂³×C₁₃	1	1	yes	characteristic
1333	#117	C₂³×C₁₃	1	2	yes	—
1334	#117	C₂³×C₁₃	1	4	yes	—
1335	#117	C₂³×C₁₃	1	4	yes	—
1336	#117	C₂³×C₁₃	1	2	yes	—
1337	#117	C₂³×C₁₃	1	2	yes	—
1338	#117	C₂³×C₁₃	1	1	yes	characteristic
1339	#117	C₂³×C₁₃	1	2	yes	—
1340	#117	C₂³×C₁₃	1	4	yes	—
1341	#117	C₂³×C₁₃	1	2	yes	—
1342	#117	C₂³×C₁₃	1	2	yes	—
1343	#117	C₂³×C₁₃	1	4	yes	—
1344	#117	C₂³×C₁₃	1	4	yes	—
1345	#117	C₂³×C₁₃	1	8	yes	—
1346	#117	C₂³×C₁₃	1	4	yes	—
1347	#117	C₂³×C₁₃	1	8	yes	—
1348	#117	C₂³×C₁₃	1	4	yes	—
1349	#117	C₂³×C₁₃	1	8	yes	—
1350	#117	C₂³×C₁₃	1	8	yes	—
1351	#117	C₂³×C₁₃	1	4	yes	—
1352	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1353	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1354	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1355	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1356	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1357	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1358	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1359	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1360	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1361	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1362	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1363	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1364	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1365	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1366	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1367	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1368	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1369	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1370	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1371	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1372	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1373	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1374	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1375	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1376	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1377	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1378	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1379	C₂×C₁₃	—	2	2	no	—
1380	C₂×C₁₃	—	2	4	no	—
1381	C₂×C₁₃	—	4	2	no	—
1382	C₂×C₁₃	—	4	2	no	—
1383	C₂×C₁₃	—	4	4	no	—
1384	C₂×C₁₃	—	4	2	no	—
1385	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1386	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1387	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1388	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1389	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1390	#41	—	2	8	no	—
1391	#41	—	2	4	no	—
1392	#41	—	2	8	no	—
1393	#41	—	2	4	no	—
1394	#41	—	4	8	no	—
1395	#41	—	4	8	no	—
1396	#41	—	4	16	no	—
1397	#41	—	4	4	no	—
1398	#41	—	4	4	no	—
1399	#41	—	4	8	no	—
1400	#41	—	4	8	no	—
1401	C₂×Q₈	—	2	4	no	—
1402	C₂×Q₈	—	2	8	no	—
1403	C₂×Q₈	—	4	8	no	—
1404	C₂×Q₈	—	4	8	no	—
1405	C₂×Q₈	—	4	8	no	—
1406	C₂×Q₈	—	4	8	no	—
1407	C₂×Q₈	—	4	8	no	—
1408	C₂×Q₈	—	4	4	no	—
1409	C₂×Q₈	—	4	8	no	—
1410	C₂×Q₈	—	4	8	no	—
1411	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1412	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1413	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1414	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1415	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1416	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1417	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1418	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1419	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1420	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1421	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1422	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1423	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1424	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1425	C₂×D₄	—	2	4	no	—
1426	C₂×D₄	—	2	8	no	—
1427	C₂×D₄	—	4	4	no	—
1428	C₂×D₄	—	4	8	no	—
1429	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1430	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1431	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1432	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1433	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1434	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1435	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1436	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1437	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1438	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1439	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1440	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1441	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1442	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1443	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1444	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1445	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1446	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1447	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1448	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1449	C₂²×C₄	—	2	8	no	—
1450	C₂²×C₄	—	4	8	no	—
1451	C₂²×C₄	—	4	8	no	—
1452	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1453	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1454	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1455	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1456	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1457	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1458	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1459	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1460	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1461	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1462	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1463	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1464	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1465	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1466	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1467	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1468	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1469	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1470	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1471	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1472	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1473	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1474	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1475	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1476	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1477	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1478	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1479	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1480	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1481	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1482	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1483	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1484	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1485	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1486	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1487	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1488	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1489	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1490	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1491	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1492	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1493	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1494	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1495	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1496	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1497	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1498	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1499	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1500	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1501	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1502	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1503	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1504	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1505	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1506	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1507	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1508	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1509	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1510	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1511	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1512	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1513	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1514	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1515	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1516	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1517	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1518	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1519	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1520	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1521	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1522	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1523	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1524	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1525	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1526	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1527	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1528	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1529	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1530	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1531	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1532	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1533	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1534	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1535	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1536	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1537	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1538	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1539	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1540	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1541	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1542	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1543	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1544	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1545	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1546	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1547	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1548	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1549	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1550	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1551	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1552	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1553	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1554	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1555	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1556	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1557	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1558	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1559	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1560	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1561	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1562	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1563	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1564	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1565	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1566	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1567	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1568	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1569	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1570	C₄²	C₂⁴×C₁₃	1	2	yes	—
1571	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1572	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1573	C₄²	C₂⁴×C₁₃	1	4	yes	—
1574	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1575	C₄²	C₂⁴×C₁₃	1	2	yes	—
1576	C₄²	C₂⁴×C₁₃	1	2	yes	—
1577	C₄²	C₂⁴×C₁₃	1	4	yes	—
1578	C₄²	C₂⁴×C₁₃	1	4	yes	—
1579	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1580	C₄²	C₂⁴×C₁₃	1	2	yes	—
1581	C₄²	C₂⁴×C₁₃	1	2	yes	—
1582	C₄²	C₂⁴×C₁₃	1	4	yes	—
1583	C₄²	C₂⁴×C₁₃	1	4	yes	—
1584	C₄²	C₂⁴×C₁₃	1	2	yes	—
1585	C₄²	C₂⁴×C₁₃	1	8	yes	—
1586	C₄²	C₂⁴×C₁₃	1	8	yes	—
1587	C₄²	C₂⁴×C₁₃	1	8	yes	—
1588	C₁₃	#62942	1	1	yes	characteristic, direct product factor, Sylow
1589	C₂³	—	2	4	no	—
1590	C₂³	—	2	4	no	—
1591	C₂³	—	2	8	no	—
1592	C₂³	—	4	2	no	—
1593	C₂³	—	4	4	no	—
1594	C₂³	—	4	4	no	—
1595	C₂³	C₂⁵×C₁₃	1	2	yes	—
1596	C₂³	C₂⁵×C₁₃	1	2	yes	—
1597	C₂³	C₂⁵×C₁₃	1	4	yes	—
1598	C₂³	C₂⁵×C₁₃	1	2	yes	—
1599	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1600	C₂³	C₂⁵×C₁₃	1	2	yes	—
1601	Q₈	—	2	4	no	—
1602	Q₈	—	2	4	no	—
1603	Q₈	—	2	8	no	—
1604	Q₈	—	2	8	no	—
1605	Q₈	—	2	2	no	—
1606	Q₈	—	2	4	no	—
1607	Q₈	—	2	2	no	—
1608	Q₈	—	2	4	no	—
1609	Q₈	—	4	8	no	—
1610	Q₈	—	4	8	no	—
1611	Q₈	—	4	8	no	—
1612	Q₈	—	4	4	no	—
1613	Q₈	—	4	2	no	—
1614	Q₈	—	4	4	no	—
1615	D₄	—	2	4	no	—
1616	D₄	—	2	8	no	—
1617	D₄	—	2	4	no	—
1618	D₄	—	2	4	no	—
1619	D₄	—	2	8	no	—
1620	D₄	—	2	8	no	—
1621	D₄	—	2	2	no	—
1622	D₄	—	2	4	no	—
1623	D₄	—	2	2	no	—
1624	D₄	—	2	2	no	—
1625	D₄	—	2	4	no	—
1626	D₄	—	4	4	no	—
1627	D₄	—	4	4	no	—
1628	D₄	—	4	4	no	—
1629	D₄	—	4	2	no	—
1630	D₄	—	4	4	no	—
1631	D₄	—	4	4	no	—
1632	D₄	—	4	4	no	—
1633	D₄	—	4	8	no	—
1634	D₄	C₁₃×2₋¹⁺⁴	1	4	yes	complemented
1635	C₂×C₄	—	2	4	no	—
1636	C₂×C₄	—	2	4	no	—
1637	C₂×C₄	—	2	8	no	—
1638	C₂×C₄	—	2	8	no	—
1639	C₂×C₄	—	2	4	no	—
1640	C₂×C₄	—	2	4	no	—
1641	C₂×C₄	—	2	4	no	—
1642	C₂×C₄	—	2	4	no	—
1643	C₂×C₄	—	2	4	no	—
1644	C₂×C₄	—	2	8	no	—
1645	C₂×C₄	—	2	4	no	—
1646	C₂×C₄	—	2	2	no	—
1647	C₂×C₄	—	2	4	no	—
1648	C₂×C₄	—	2	4	no	—
1649	C₂×C₄	—	4	4	no	—
1650	C₂×C₄	—	4	8	no	—
1651	C₂×C₄	—	4	8	no	—
1652	C₂×C₄	—	4	4	no	—
1653	C₂×C₄	—	4	4	no	—
1654	C₂×C₄	—	4	1	no	—
1655	C₂×C₄	—	4	2	no	—
1656	C₂×C₄	—	4	2	no	—
1657	C₂×C₄	—	4	8	no	—
1658	C₂×C₄	—	4	4	no	—
1659	C₂×C₄	—	4	2	no	—
1660	C₂×C₄	—	4	8	no	—
1661	C₂×C₄	—	4	8	no	—
1662	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1663	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1664	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1665	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1666	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1667	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1668	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1669	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1670	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1671	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1672	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1673	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1674	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1675	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1676	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1677	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1678	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1679	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1680	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1681	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1682	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1683	C₂²	—	2	2	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	2	no	—
1687	C₂²	—	2	2	no	—
1688	C₂²	—	2	2	no	—
1689	C₂²	—	2	4	no	—
1690	C₂²	—	2	2	no	—
1691	C₂²	—	2	2	no	—
1692	C₂²	—	2	2	no	—
1693	C₂²	—	2	2	no	—
1694	C₂²	—	2	4	no	—
1695	C₂²	—	2	4	no	—
1696	C₂²	—	2	2	no	—
1697	C₂²	—	2	2	no	—
1698	C₂²	—	2	2	no	—
1699	C₂²	—	4	8	no	—
1700	C₂²	—	8	8	no	—
1701	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1702	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1703	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1704	C₄	—	2	2	no	—
1705	C₄	—	2	2	no	—
1706	C₄	—	2	2	no	—
1707	C₄	—	2	4	no	—
1708	C₄	—	2	2	no	—
1709	C₄	—	2	8	no	—
1710	C₄	—	2	4	no	—
1711	C₄	—	2	2	no	—
1712	C₄	—	2	1	no	—
1713	C₄	—	2	2	no	—
1714	C₄	—	2	4	no	—
1715	C₄	—	2	1	no	—
1716	C₄	—	2	4	no	—
1717	C₄	—	2	4	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	2	no	—
1720	C₄	—	2	2	no	—
1721	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1722	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1723	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1724	C₂	—	2	2	no	—
1725	C₂	—	2	4	no	—
1726	C₂	—	4	2	no	—
1727	C₂	—	4	2	no	—
1728	C₂	—	4	4	no	—
1729	C₂	—	4	2	no	—
1730	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1731	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1732	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×#3561	C₂	semidirect
2. C₁₃×#3554	C₂	semidirect
3. C₁₃×#3552	C₂	semidirect
4. C₁₃×#3552	C₂	semidirect
5. C₁₃×#3550	C₂	semidirect
6. C₁₃×#3547	C₂	semidirect
7. C₁₃×#3544	C₂	semidirect
8. C₁₃×#3541	C₂	semidirect
9. C₁₃×#3538	C₂	semidirect
10. C₁₃×#3535	C₂	semidirect
11. C₁₃×#3520	C₂	semidirect
12. C₁₃×#3514	C₂	semidirect
13. C₁₃×#3513	C₂	semidirect
14. C₁₃×#3509	C₂	semidirect
15. C₁₃×#3507	C₂	semidirect
16. C₁₃×#3503	C₂	semidirect
17. C₁₃×#3501	C₂	semidirect
18. C₁₃×#3499	C₂	semidirect
19. C₁₃×#3495	C₂	semidirect
20. C₁₃×#3489	C₂	semidirect
21. C₁₃×#3486	C₂	semidirect
22. C₁₃×#3475	C₂	semidirect
23. D₄×C₁₃×#41	C₂	semidirect
24. C₂×D₄×Q₈×C₁₃	C₂	semidirect
25. C₁₃×#3461	C₂	semidirect
26. C₂×C₁₃×#536	C₂	semidirect
27. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
29. C₂³×Q₈×C₁₃	C₂²	semidirect
30. C₁₃×#563	C₂²	semidirect
31. C₁₃×#563	C₂²	semidirect
32. C₁₃×#563	C₂²	semidirect
33. C₁₃×#563	C₂²	semidirect
34. C₁₃×#562	C₂²	semidirect
35. C₁₃×#562	C₂²	semidirect
36. C₁₃×#559	C₂²	semidirect
37. C₁₃×#559	C₂²	semidirect
38. Q₈²×C₁₃	C₂²	semidirect
39. C₁₃×#557	C₂²	semidirect
40. C₁₃×#557	C₂²	semidirect
41. C₁₃×#557	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
43. C₁₃×#556	C₂²	semidirect
44. C₁₃×#556	C₂²	semidirect
45. C₁₃×#556	C₂²	semidirect
46. C₁₃×#556	C₂²	semidirect
47. C₁₃×#556	C₂²	semidirect
48. C₁₃×#555	C₂²	semidirect
49. C₁₃×#555	C₂²	semidirect
52. C₁₃×#554	C₂²	semidirect
53. C₁₃×#554	C₂²	semidirect
54. C₁₃×#554	C₂²	semidirect
55. C₁₃×#554	C₂²	semidirect
56. C₁₃×#554	C₂²	semidirect
57. C₁₃×#554	C₂²	semidirect
58. C₁₃×#553	C₂²	semidirect
59. C₁₃×#553	C₂²	semidirect
60. C₁₃×#553	C₂²	semidirect
61. C₁₃×#552	C₂²	semidirect
62. C₁₃×#552	C₂²	semidirect
63. C₁₃×#552	C₂²	semidirect
64. C₁₃×#552	C₂²	semidirect
65. C₁₃×#552	C₂²	semidirect
66. C₁₃×#552	C₂²	semidirect
67. C₁₃×#552	C₂²	semidirect
68. C₁₃×#552	C₂²	semidirect
69. C₁₃×#551	C₂²	semidirect
70. C₁₃×#551	C₂²	semidirect
71. C₁₃×#551	C₂²	semidirect
72. C₁₃×#551	C₂²	semidirect
73. C₁₃×#551	C₂²	semidirect
78. D₄×Q₈×C₁₃	C₂²	semidirect
79. D₄×Q₈×C₁₃	C₂²	semidirect
80. D₄×Q₈×C₁₃	C₂²	semidirect
81. D₄×Q₈×C₁₃	C₂²	semidirect
82. D₄×Q₈×C₁₃	C₂²	semidirect
83. D₄×Q₈×C₁₃	C₂²	semidirect
84. D₄×Q₈×C₁₃	C₂²	semidirect
85. D₄×Q₈×C₁₃	C₂²	semidirect
86. D₄×Q₈×C₁₃	C₂²	semidirect
87. D₄×Q₈×C₁₃	C₂²	semidirect
88. D₄×Q₈×C₁₃	C₂²	semidirect
90. C₁₃×#548	C₂²	semidirect
91. C₁₃×#548	C₂²	semidirect
92. C₁₃×#548	C₂²	semidirect
93. C₁₃×#548	C₂²	semidirect
94. C₁₃×#548	C₂²	semidirect
98. C₁₃×#547	C₂²	semidirect
99. C₁₃×#547	C₂²	semidirect
100. C₁₃×#547	C₂²	semidirect
101. C₁₃×#547	C₂²	semidirect
102. C₁₃×#547	C₂²	semidirect
103. C₁₃×#547	C₂²	semidirect
108. C₁₃×#546	C₂²	semidirect
109. C₁₃×#546	C₂²	semidirect
112. C₁₃×#544	C₂²	semidirect
113. C₁₃×#544	C₂²	semidirect
114. C₁₃×#544	C₂²	semidirect
115. C₁₃×#544	C₂²	semidirect
116. C₁₃×#544	C₂²	semidirect
117. C₁₃×#543	C₂²	semidirect
118. C₁₃×#542	C₂²	semidirect
119. C₁₃×#542	C₂²	semidirect
120. C₁₃×#542	C₂²	semidirect
121. C₁₃×#542	C₂²	semidirect
122. C₁₃×#542	C₂²	semidirect
123. C₁₃×#542	C₂²	semidirect
124. C₁₃×#542	C₂²	semidirect
125. C₁₃×#542	C₂²	semidirect
126. C₁₃×#542	C₂²	semidirect
127. C₁₃×#541	C₂²	semidirect
128. C₁₃×#541	C₂²	semidirect
129. C₁₃×#541	C₂²	semidirect
130. C₁₃×#541	C₂²	semidirect
131. C₁₃×#540	C₂²	semidirect
132. C₁₃×#539	C₂²	semidirect
133. C₁₃×#539	C₂²	semidirect
134. C₁₃×#539	C₂²	semidirect
135. C₁₃×#539	C₂²	semidirect
136. C₁₃×#539	C₂²	semidirect
137. C₁₃×#539	C₂²	semidirect
138. C₁₃×#538	C₂²	semidirect
139. C₁₃×#538	C₂²	semidirect
141. C₁₃×#537	C₂²	semidirect
144. C₁₃×#536	C₂²	semidirect
145. C₁₃×#536	C₂²	semidirect
146. C₁₃×#536	C₂²	semidirect
147. C₁₃×#536	C₂²	semidirect
148. C₁₃×#536	C₂²	semidirect
149. C₁₃×#536	C₂²	semidirect
150. C₁₃×#536	C₂²	semidirect
151. C₁₃×#536	C₂²	semidirect
152. C₁₃×#536	C₂²	semidirect
153. C₁₃×#536	C₂²	semidirect
154. C₁₃×#536	C₂²	semidirect
155. C₁₃×#533	C₂²	semidirect
156. C₁₃×#533	C₂²	semidirect
157. C₁₃×#533	C₂²	semidirect
158. C₁₃×#533	C₂²	semidirect
159. C₁₃×#533	C₂²	semidirect
160. C₁₃×#533	C₂²	semidirect
163. C₁₃×#532	C₂²	semidirect
164. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
165. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
166. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
167. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
168. C₁₃×#529	C₂²	semidirect
169. C₁₃×#529	C₂²	semidirect
170. C₁₃×#529	C₂²	semidirect
171. C₁₃×#529	C₂²	semidirect
172. C₁₃×#529	C₂²	semidirect
173. C₁₃×#529	C₂²	semidirect
174. C₁₃×#529	C₂²	semidirect
175. C₂×C₁₃×#124	C₂²	semidirect
178. C₁₃×#525	C₂²	semidirect
179. C₁₃×#525	C₂²	semidirect
180. C₁₃×#525	C₂²	semidirect
181. C₂×C₁₃×#123	C₂²	semidirect
182. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
183. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
184. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
185. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
186. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
188. C₁₃×#520	C₂²	semidirect
189. C₁₃×#519	C₂²	semidirect
193. C₄×C₁₃×#41	C₂²	semidirect
194. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
198. C₂×C₁₃×#117	C₂²	semidirect
522. #62942	C₁₃	direct (N × H)
723. #3561	C₂×C₁₃	semidirect
724. #3554	C₂×C₁₃	semidirect
725. #3552	C₂×C₁₃	semidirect
726. #3552	C₂×C₁₃	semidirect
727. #3550	C₂×C₁₃	semidirect
728. #3547	C₂×C₁₃	semidirect
729. #3544	C₂×C₁₃	semidirect
730. #3541	C₂×C₁₃	semidirect
731. #3538	C₂×C₁₃	semidirect
732. #3535	C₂×C₁₃	semidirect
733. #3520	C₂×C₁₃	semidirect
734. #3514	C₂×C₁₃	semidirect
735. #3513	C₂×C₁₃	semidirect
736. #3509	C₂×C₁₃	semidirect
737. #3507	C₂×C₁₃	semidirect
738. #3503	C₂×C₁₃	semidirect
739. #3501	C₂×C₁₃	semidirect
740. #3499	C₂×C₁₃	semidirect
741. #3495	C₂×C₁₃	semidirect
742. #3489	C₂×C₁₃	semidirect
743. #3486	C₂×C₁₃	semidirect
744. #3475	C₂×C₁₃	semidirect
745. D₄×#41	C₂×C₁₃	semidirect
746. C₂×D₄×Q₈	C₂×C₁₃	semidirect
747. #3461	C₂×C₁₃	semidirect
748. C₂×#536	C₂×C₁₃	semidirect
794. D₄×C₁₃	2₋¹⁺⁴	semidirect
843. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
845. C₂³×Q₈	C₂²×C₁₃	semidirect
846. #563	C₂²×C₁₃	semidirect
847. #563	C₂²×C₁₃	semidirect
848. #563	C₂²×C₁₃	semidirect
849. #563	C₂²×C₁₃	semidirect
850. #562	C₂²×C₁₃	semidirect
851. #562	C₂²×C₁₃	semidirect
852. #559	C₂²×C₁₃	semidirect
853. #559	C₂²×C₁₃	semidirect
854. Q₈²	C₂²×C₁₃	semidirect
855. #557	C₂²×C₁₃	semidirect
856. #557	C₂²×C₁₃	semidirect
857. #557	C₂²×C₁₃	semidirect
858. #556	C₂²×C₁₃	semidirect
859. #556	C₂²×C₁₃	semidirect
860. #556	C₂²×C₁₃	semidirect
861. #556	C₂²×C₁₃	semidirect
862. #556	C₂²×C₁₃	semidirect
863. #556	C₂²×C₁₃	semidirect
864. #555	C₂²×C₁₃	semidirect
865. #555	C₂²×C₁₃	semidirect
868. #554	C₂²×C₁₃	semidirect
869. #554	C₂²×C₁₃	semidirect
870. #554	C₂²×C₁₃	semidirect
871. #554	C₂²×C₁₃	semidirect
872. #554	C₂²×C₁₃	semidirect
873. #554	C₂²×C₁₃	semidirect
874. #553	C₂²×C₁₃	semidirect
875. #553	C₂²×C₁₃	semidirect
876. #553	C₂²×C₁₃	semidirect
877. #552	C₂²×C₁₃	semidirect
878. #552	C₂²×C₁₃	semidirect
879. #552	C₂²×C₁₃	semidirect
880. #552	C₂²×C₁₃	semidirect
881. #552	C₂²×C₁₃	semidirect
882. #552	C₂²×C₁₃	semidirect
883. #552	C₂²×C₁₃	semidirect
884. #552	C₂²×C₁₃	semidirect
885. #551	C₂²×C₁₃	semidirect
886. #551	C₂²×C₁₃	semidirect
887. #551	C₂²×C₁₃	semidirect
888. #551	C₂²×C₁₃	semidirect
889. #551	C₂²×C₁₃	semidirect
894. D₄×Q₈	C₂²×C₁₃	semidirect
895. D₄×Q₈	C₂²×C₁₃	semidirect
896. D₄×Q₈	C₂²×C₁₃	semidirect
897. D₄×Q₈	C₂²×C₁₃	semidirect
898. D₄×Q₈	C₂²×C₁₃	semidirect
899. D₄×Q₈	C₂²×C₁₃	semidirect
900. D₄×Q₈	C₂²×C₁₃	semidirect
901. D₄×Q₈	C₂²×C₁₃	semidirect
902. D₄×Q₈	C₂²×C₁₃	semidirect
903. D₄×Q₈	C₂²×C₁₃	semidirect
904. D₄×Q₈	C₂²×C₁₃	semidirect
906. #548	C₂²×C₁₃	semidirect
907. #548	C₂²×C₁₃	semidirect
908. #548	C₂²×C₁₃	semidirect
909. #548	C₂²×C₁₃	semidirect
910. #548	C₂²×C₁₃	semidirect
914. #547	C₂²×C₁₃	semidirect
915. #547	C₂²×C₁₃	semidirect
916. #547	C₂²×C₁₃	semidirect
917. #547	C₂²×C₁₃	semidirect
918. #547	C₂²×C₁₃	semidirect
919. #547	C₂²×C₁₃	semidirect
924. #546	C₂²×C₁₃	semidirect
925. #546	C₂²×C₁₃	semidirect
928. #544	C₂²×C₁₃	semidirect
929. #544	C₂²×C₁₃	semidirect
930. #544	C₂²×C₁₃	semidirect
931. #544	C₂²×C₁₃	semidirect
932. #544	C₂²×C₁₃	semidirect
933. #543	C₂²×C₁₃	semidirect
934. #542	C₂²×C₁₃	semidirect
935. #542	C₂²×C₁₃	semidirect
936. #542	C₂²×C₁₃	semidirect
937. #542	C₂²×C₁₃	semidirect
938. #542	C₂²×C₁₃	semidirect
939. #542	C₂²×C₁₃	semidirect
940. #542	C₂²×C₁₃	semidirect
941. #542	C₂²×C₁₃	semidirect
942. #542	C₂²×C₁₃	semidirect
943. #541	C₂²×C₁₃	semidirect
944. #541	C₂²×C₁₃	semidirect
945. #541	C₂²×C₁₃	semidirect
946. #541	C₂²×C₁₃	semidirect
947. #540	C₂²×C₁₃	semidirect
948. #539	C₂²×C₁₃	semidirect
949. #539	C₂²×C₁₃	semidirect
950. #539	C₂²×C₁₃	semidirect
951. #539	C₂²×C₁₃	semidirect
952. #539	C₂²×C₁₃	semidirect
953. #539	C₂²×C₁₃	semidirect
954. #538	C₂²×C₁₃	semidirect
955. #538	C₂²×C₁₃	semidirect
957. #537	C₂²×C₁₃	semidirect
960. #536	C₂²×C₁₃	semidirect
961. #536	C₂²×C₁₃	semidirect
962. #536	C₂²×C₁₃	semidirect
963. #536	C₂²×C₁₃	semidirect
964. #536	C₂²×C₁₃	semidirect
965. #536	C₂²×C₁₃	semidirect
966. #536	C₂²×C₁₃	semidirect
967. #536	C₂²×C₁₃	semidirect
968. #536	C₂²×C₁₃	semidirect
969. #536	C₂²×C₁₃	semidirect
970. #536	C₂²×C₁₃	semidirect
971. #533	C₂²×C₁₃	semidirect
972. #533	C₂²×C₁₃	semidirect
973. #533	C₂²×C₁₃	semidirect
974. #533	C₂²×C₁₃	semidirect
975. #533	C₂²×C₁₃	semidirect
976. #533	C₂²×C₁₃	semidirect
979. #532	C₂²×C₁₃	semidirect
980. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
981. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
982. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
983. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
984. #529	C₂²×C₁₃	semidirect
985. #529	C₂²×C₁₃	semidirect
986. #529	C₂²×C₁₃	semidirect
987. #529	C₂²×C₁₃	semidirect
988. #529	C₂²×C₁₃	semidirect
989. #529	C₂²×C₁₃	semidirect
990. #529	C₂²×C₁₃	semidirect
991. C₂×#124	C₂²×C₁₃	semidirect
994. #525	C₂²×C₁₃	semidirect
995. #525	C₂²×C₁₃	semidirect
996. #525	C₂²×C₁₃	semidirect
997. C₂×#123	C₂²×C₁₃	semidirect
998. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
999. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
1000. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
1001. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
1002. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
1004. #520	C₂²×C₁₃	semidirect
1005. #519	C₂²×C₁₃	semidirect
1009. C₄×#41	C₂²×C₁₃	semidirect
1010. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1014. C₂×#117	C₂²×C₁₃	semidirect
1588. C₁₃	#62942	direct (N × H)
1634. D₄	C₁₃×2₋¹⁺⁴	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#3561	2
C₁₃×#3554	2
C₁₃×#3552	2
C₁₃×#3550	2
C₁₃×#3547	2
C₁₃×#3544	2
C₁₃×#3541	2
C₁₃×#3538	2
C₁₃×#3535	2
C₁₃×#3520	2
C₁₃×#3514	2
C₁₃×#3513	2
C₁₃×#3509	2
C₁₃×#3507	2
C₁₃×#3503	2
C₁₃×#3501	2
C₁₃×#3499	2
C₁₃×#3495	2
C₁₃×#3489	2
C₁₃×#3486	2
C₁₃×#3475	2
D₄×C₁₃×#41	2
C₂×D₄×Q₈×C₁₃	2
C₁₃×#3461	2
C₂×C₁₃×#536	2
#62942	13

Subgroups — C13×#62942 #15749281

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62942 #15749281