Subgroups — C₁₃×#62836 #15749175

Order 3328.

7254 conjugacy classes of subgroups.

The subgroup lattice has 1202 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	8	yes	maximal, complemented
2	C₁₃×#3554	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3546	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3542	C₂	1	8	yes	maximal, complemented
5	C₁₃×#3517	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3514	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3513	C₂	1	8	yes	maximal, complemented
8	C₁₃×#3511	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3510	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3508	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3500	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3498	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3487	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3485	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
22	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	—
23	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
24	C₁₃×#562	C₂²	1	16	yes	complemented
25	C₁₃×#560	C₂²	1	16	yes	complemented
26	C₁₃×#559	C₂²	1	8	yes	complemented
27	C₁₃×#559	C₂²	1	4	yes	complemented
28	C₁₃×#559	C₂²	1	8	yes	complemented
29	C₁₃×#557	C₂²	1	4	yes	complemented
30	C₁₃×#556	C₂²	1	4	yes	complemented
31	C₁₃×#556	C₂²	1	8	yes	complemented
32	C₁₃×#555	C₂²	1	8	yes	complemented
33	C₁₃×#554	C₂²	1	8	yes	complemented
34	C₁₃×#553	C₂²	1	8	yes	complemented
35	C₁₃×#553	C₂²	1	8	yes	complemented
36	C₁₃×#553	C₂²	1	16	yes	complemented
37	C₁₃×#552	C₂²	1	8	yes	complemented
38	C₁₃×#551	C₂²	1	16	yes	complemented
39	C₁₃×#551	C₂²	1	16	yes	complemented
40	C₁₃×#550	C₂²	1	8	yes	complemented
41	C₁₃×#550	C₂²	1	8	yes	complemented
42	C₁₃×#550	C₂²	1	4	yes	complemented
43	C₁₃×#550	C₂²	1	4	yes	complemented
44	C₁₃×#550	C₂²	1	8	yes	complemented
45	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
46	C₁₃×#548	C₂²	1	8	yes	complemented
47	C₁₃×#548	C₂²	1	8	yes	complemented
48	C₁₃×#548	C₂²	1	8	yes	complemented
49	C₁₃×#547	C₂²	1	8	yes	complemented
50	C₁₃×#547	C₂²	1	4	yes	complemented
51	C₁₃×#547	C₂²	1	8	yes	complemented
52	C₁₃×#547	C₂²	1	8	yes	complemented
53	C₁₃×#546	C₂²	1	16	yes	complemented
54	C₁₃×#546	C₂²	1	8	yes	complemented
55	C₁₃×#546	C₂²	1	8	yes	complemented
56	C₁₃×#546	C₂²	1	8	yes	complemented
57	C₁₃×#546	C₂²	1	8	yes	complemented
58	C₁₃×#546	C₂²	1	8	yes	complemented
59	C₁₃×#546	C₂²	1	8	yes	complemented
60	D₄²×C₁₃	C₂²	1	8	yes	—
61	D₄²×C₁₃	C₂²	1	4	yes	complemented
62	C₁₃×#542	C₂²	1	8	yes	complemented
63	C₁₃×#542	C₂²	1	8	yes	complemented
64	C₁₃×#542	C₂²	1	8	yes	complemented
65	C₁₃×#541	C₂²	1	4	yes	complemented
66	C₁₃×#540	C₂²	1	8	yes	complemented
67	C₁₃×#540	C₂²	1	16	yes	complemented
68	C₁₃×#540	C₂²	1	4	yes	complemented
69	C₁₃×#540	C₂²	1	8	yes	complemented
70	C₁₃×#539	C₂²	1	16	yes	complemented
71	C₁₃×#538	C₂²	1	16	yes	complemented
72	C₁₃×#538	C₂²	1	16	yes	complemented
73	C₁₃×#537	C₂²	1	8	yes	complemented
74	C₁₃×#536	C₂²	1	2	yes	—
75	C₁₃×#536	C₂²	1	4	yes	complemented
76	C₁₃×#536	C₂²	1	4	yes	complemented
77	C₁₃×#536	C₂²	1	2	yes	complemented
78	C₁₃×#535	C₂²	1	2	yes	—
79	C₁₃×#535	C₂²	1	8	yes	complemented
80	C₁₃×#535	C₂²	1	8	yes	complemented
81	C₁₃×#535	C₂²	1	4	yes	complemented
82	C₁₃×#535	C₂²	1	4	yes	complemented
83	C₁₃×#535	C₂²	1	2	yes	complemented
84	C₁₃×#534	C₂²	1	8	yes	complemented
85	C₁₃×#533	C₂²	1	2	yes	complemented
86	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#533	C₂²	1	2	yes	complemented
89	C₁₃×#533	C₂²	1	4	yes	complemented
90	C₁₃×#532	C₂²	1	1	yes	characteristic
91	C₁₃×#532	C₂²	1	1	yes	characteristic
92	C₁₃×#532	C₂²	1	2	yes	complemented
93	C₁₃×#532	C₂²	1	4	yes	complemented
94	C₁₃×#532	C₂²	1	4	yes	complemented
95	C₁₃×#532	C₂²	1	4	yes	complemented
96	C₁₃×#532	C₂²	1	4	yes	complemented
97	C₁₃×#532	C₂²	1	2	yes	complemented
98	C₁₃×#532	C₂²	1	2	yes	complemented
99	C₁₃×#532	C₂²	1	2	yes	complemented
100	C₁₃×#532	C₂²	1	4	yes	complemented
101	C₁₃×#532	C₂²	1	4	yes	complemented
102	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
104	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
105	C₂×C₁₃×#127	C₂²	1	2	yes	complemented
106	C₁₃×#529	C₂²	1	4	yes	complemented
107	C₁₃×#529	C₂²	1	4	yes	complemented
108	C₁₃×#529	C₂²	1	4	yes	complemented
109	C₁₃×#529	C₂²	1	4	yes	complemented
110	C₁₃×#529	C₂²	1	4	yes	complemented
111	C₁₃×#529	C₂²	1	2	yes	complemented
112	C₁₃×#529	C₂²	1	2	yes	complemented
113	C₁₃×#529	C₂²	1	8	yes	complemented
114	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
116	C₁₃×#525	C₂²	1	1	yes	characteristic
117	C₁₃×#525	C₂²	1	4	yes	complemented
118	C₁₃×#525	C₂²	1	4	yes	complemented
119	C₁₃×#525	C₂²	1	2	yes	complemented
120	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#525	C₂²	1	8	yes	complemented
122	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
123	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
124	C₁₃×#520	C₂²	1	8	yes	complemented
125	C₁₃×#519	C₂²	1	2	yes	complemented
126	C₁₃×#518	C₂²	1	2	yes	complemented
127	C₁₃×#518	C₂²	1	8	yes	complemented
128	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
129	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
130	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
131	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
132	C₄×C₁₃×#41	C₂²	1	4	yes	complemented
133	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	complemented
134	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×2₋¹⁺⁴	—	4	8	no	—
136	C₁₃×H(5,𝔽₂)	—	4	8	no	—
137	C₂×C₁₃×#41	—	4	8	no	—
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	4	yes	—
142	C₂×C₁₃×#41	C₂³	1	4	yes	—
143	C₂×C₁₃×#41	C₂³	1	8	yes	—
144	C₂×C₁₃×#41	C₂³	1	8	yes	—
145	C₂×C₁₃×#41	C₂³	1	8	yes	—
146	C₂×C₁₃×#41	C₂³	1	8	yes	—
147	C₂×C₁₃×#41	C₂³	1	4	yes	—
148	C₂×C₁₃×#41	C₂³	1	4	yes	—
149	C₂×C₁₃×#41	C₂³	1	4	yes	—
150	C₂×C₁₃×#41	C₂³	1	4	yes	—
151	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
152	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
153	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
154	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
155	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
156	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
157	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
158	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
159	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
160	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
161	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
169	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
174	C₁₃×#127	C₂³	1	2	yes	—
175	C₁₃×#127	C₂³	1	2	yes	—
176	C₁₃×#127	C₂³	1	4	yes	—
177	C₁₃×#127	C₂³	1	1	yes	characteristic
178	C₁₃×#127	C₂³	1	4	yes	—
179	C₁₃×#127	C₂³	1	8	yes	—
180	C₁₃×#127	C₂³	1	1	yes	characteristic
181	C₁₃×#127	C₂³	1	4	yes	—
182	C₁₃×#127	C₂³	1	16	yes	—
183	C₁₃×#126	C₂³	1	8	yes	—
184	C₁₃×#126	C₂³	1	4	yes	—
185	C₁₃×#126	C₂³	1	4	yes	—
186	C₁₃×#126	C₂³	1	16	yes	—
187	C₁₃×#126	C₂³	1	16	yes	—
188	C₁₃×#126	C₂³	1	16	yes	—
189	C₁₃×#125	C₂³	1	2	yes	—
190	C₁₃×#125	C₂³	1	4	yes	—
191	C₁₃×#125	C₂³	1	2	yes	—
192	C₁₃×#125	C₂³	1	4	yes	—
193	C₁₃×#125	C₂³	1	8	yes	—
194	C₁₃×#125	C₂³	1	16	yes	—
195	C₁₃×#124	C₂³	1	1	yes	characteristic
196	C₁₃×#124	C₂³	1	4	yes	—
197	C₁₃×#124	C₂³	1	4	yes	—
198	C₁₃×#124	C₂³	1	8	yes	—
199	C₁₃×#124	C₂³	1	4	yes	—
200	C₁₃×#124	C₂³	1	4	yes	—
201	C₁₃×#124	C₂³	1	16	yes	—
202	C₁₃×#124	C₂³	1	1	yes	characteristic
203	C₁₃×#124	C₂³	1	2	yes	—
204	C₁₃×#124	C₂³	1	4	yes	—
205	C₁₃×#124	C₂³	1	4	yes	—
206	C₁₃×#124	C₂³	1	4	yes	—
207	C₁₃×#124	C₂³	1	4	yes	—
208	C₁₃×#124	C₂³	1	8	yes	—
209	C₁₃×#124	C₂³	1	16	yes	—
210	C₁₃×#124	C₂³	1	16	yes	—
211	C₁₃×#123	C₂³	1	2	yes	—
212	C₁₃×#123	C₂³	1	4	yes	—
213	C₁₃×#123	C₂³	1	8	yes	—
214	C₁₃×#123	C₂³	1	8	yes	—
215	C₁₃×#123	C₂³	1	16	yes	—
216	C₁₃×#123	C₂³	1	16	yes	—
217	C₁₃×#123	C₂³	1	2	yes	—
218	C₁₃×#123	C₂³	1	4	yes	—
219	C₁₃×#123	C₂³	1	4	yes	—
220	C₁₃×#123	C₂³	1	8	yes	—
221	C₁₃×#123	C₂³	1	16	yes	—
222	C₁₃×#123	C₂³	1	16	yes	—
223	C₁₃×#123	C₂³	1	16	yes	—
224	C₁₃×#123	C₂³	1	16	yes	—
225	C₁₃×#123	C₂³	1	16	yes	—
226	C₁₃×#123	C₂³	1	16	yes	—
227	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
229	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
230	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
231	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
232	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
233	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
234	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
235	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
236	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
237	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
238	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
239	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
240	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	—
241	C₁₃×#121	C₂³	1	8	yes	—
242	C₁₃×#121	C₂³	1	8	yes	—
243	C₁₃×#121	C₂³	1	8	yes	—
244	C₁₃×#121	C₂³	1	8	yes	—
245	C₁₃×#121	C₂³	1	2	yes	—
246	C₁₃×#121	C₂³	1	4	yes	—
247	C₁₃×#121	C₂³	1	4	yes	—
248	C₁₃×#121	C₂³	1	4	yes	—
249	C₁₃×#121	C₂³	1	4	yes	—
250	C₁₃×#121	C₂³	1	2	yes	—
251	C₁₃×#121	C₂³	1	4	yes	—
252	C₁₃×#121	C₂³	1	16	yes	—
253	C₁₃×#121	C₂³	1	8	yes	—
254	C₁₃×#121	C₂³	1	8	yes	—
255	C₁₃×#121	C₂³	1	8	yes	—
256	C₁₃×#121	C₂³	1	8	yes	—
257	C₁₃×#121	C₂³	1	8	yes	—
258	C₁₃×#121	C₂³	1	16	yes	—
259	C₁₃×#121	C₂³	1	16	yes	—
260	C₁₃×#121	C₂³	1	16	yes	—
261	C₁₃×#121	C₂³	1	16	yes	—
262	C₁₃×#121	C₂³	1	16	yes	—
263	C₁₃×#121	C₂³	1	16	yes	—
264	C₁₃×#121	C₂³	1	16	yes	—
265	C₁₃×#121	C₂³	1	16	yes	—
266	C₁₃×#120	C₂³	1	2	yes	—
267	C₁₃×#120	C₂³	1	4	yes	—
268	C₁₃×#120	C₂³	1	2	yes	—
269	C₁₃×#120	C₂³	1	8	yes	—
270	C₁₃×#120	C₂³	1	8	yes	—
271	C₁₃×#120	C₂³	1	16	yes	—
272	C₁₃×#120	C₂³	1	16	yes	—
273	C₁₃×#120	C₂³	1	16	yes	—
274	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
275	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
276	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
277	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
278	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
279	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
280	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
281	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
282	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
283	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
284	C₄×D₄×C₁₃	C₂³	1	8	yes	—
285	C₄×D₄×C₁₃	C₂³	1	8	yes	—
286	C₄×D₄×C₁₃	C₂³	1	8	yes	—
287	C₄×D₄×C₁₃	C₂³	1	8	yes	—
288	C₄×D₄×C₁₃	C₂³	1	4	yes	—
289	C₄×D₄×C₁₃	C₂³	1	2	yes	—
290	C₄×D₄×C₁₃	C₂³	1	4	yes	—
291	C₄×D₄×C₁₃	C₂³	1	4	yes	—
292	C₄×D₄×C₁₃	C₂³	1	8	yes	—
293	C₄×D₄×C₁₃	C₂³	1	4	yes	—
294	C₄×D₄×C₁₃	C₂³	1	8	yes	—
295	C₄×D₄×C₁₃	C₂³	1	4	yes	—
296	C₄×D₄×C₁₃	C₂³	1	8	yes	—
297	C₄×D₄×C₁₃	C₂³	1	4	yes	—
298	C₄×D₄×C₁₃	C₂³	1	4	yes	—
299	C₄×D₄×C₁₃	C₂³	1	4	yes	—
300	C₄×D₄×C₁₃	C₂³	1	4	yes	—
301	C₄×D₄×C₁₃	C₂³	1	4	yes	—
302	C₄×D₄×C₁₃	C₂³	1	4	yes	—
303	C₄×D₄×C₁₃	C₂³	1	2	yes	—
304	C₄×D₄×C₁₃	C₂³	1	16	yes	—
305	C₄×D₄×C₁₃	C₂³	1	16	yes	—
306	C₄×D₄×C₁₃	C₂³	1	8	yes	—
307	C₄×D₄×C₁₃	C₂³	1	8	yes	—
308	C₄×D₄×C₁₃	C₂³	1	8	yes	—
309	C₄×D₄×C₁₃	C₂³	1	8	yes	—
310	C₄×D₄×C₁₃	C₂³	1	16	yes	—
311	C₄×D₄×C₁₃	C₂³	1	16	yes	—
312	C₄×D₄×C₁₃	C₂³	1	8	yes	—
313	C₁₃×#117	C₂³	1	1	yes	characteristic
314	C₁₃×#117	C₂³	1	2	yes	—
315	C₁₃×#117	C₂³	1	1	yes	characteristic
316	C₁₃×#117	C₂³	1	4	yes	—
317	C₁₃×#117	C₂³	1	2	yes	—
318	C₁₃×#117	C₂³	1	4	yes	—
319	C₁₃×#117	C₂³	1	4	yes	—
320	C₁₃×#117	C₂³	1	4	yes	—
321	C₁₃×#117	C₂³	1	4	yes	—
322	C₁₃×#117	C₂³	1	2	yes	—
323	C₁₃×#117	C₂³	1	8	yes	—
324	C₁₃×#117	C₂³	1	8	yes	—
325	C₁₃×#117	C₂³	1	8	yes	—
326	C₁₃×#117	C₂³	1	16	yes	—
327	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
328	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	—
329	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
330	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
331	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
332	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
333	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
334	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
335	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
338	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
339	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
340	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
341	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
342	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
343	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
344	#62836	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
345	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
346	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
348	C₁₃×#41	—	2	4	no	—
349	C₁₃×#41	—	2	8	no	—
350	C₁₃×#41	—	2	4	no	—
351	C₁₃×#41	—	4	8	no	—
352	C₁₃×#41	—	4	16	no	—
353	C₁₃×#41	—	4	16	no	—
354	C₁₃×#41	—	4	16	no	—
355	C₁₃×#41	—	4	8	no	—
356	C₁₃×#41	—	4	16	no	—
357	C₁₃×#41	—	4	8	no	—
358	C₁₃×#41	—	4	8	no	—
359	C₁₃×#41	—	4	8	no	—
360	C₁₃×#41	—	4	8	no	—
361	C₂×Q₈×C₁₃	—	2	8	no	—
362	C₂×Q₈×C₁₃	—	4	8	no	—
363	C₂×Q₈×C₁₃	—	4	8	no	—
364	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
365	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
367	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
368	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
369	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
371	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
372	C₂×D₄×C₁₃	—	2	8	no	—
373	C₂×D₄×C₁₃	—	4	8	no	—
374	C₂×D₄×C₁₃	—	4	16	no	—
375	C₂×D₄×C₁₃	—	4	8	no	—
376	C₂×D₄×C₁₃	—	4	8	no	—
377	C₂×D₄×C₁₃	—	4	8	no	—
378	C₂×D₄×C₁₃	—	4	16	no	—
379	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
380	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
381	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
382	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
383	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
384	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
386	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
387	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
388	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
390	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
391	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
392	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
393	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
394	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
395	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
396	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
397	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
398	C₂×D₄×C₁₃	C₂⁴	1	16	yes	—
399	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
400	C₂²×C₄×C₁₃	—	2	4	no	—
401	C₂²×C₄×C₁₃	—	4	4	no	—
402	C₂²×C₄×C₁₃	—	4	8	no	—
403	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
404	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
405	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
406	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
407	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
410	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
411	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
412	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
413	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
414	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
415	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
417	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
419	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
420	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
421	C₂²×C₄×C₁₃	C₂⁴	1	16	yes	—
422	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
423	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
424	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
427	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
428	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
429	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
430	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
431	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
432	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
433	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
434	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
435	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
436	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
437	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
438	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
439	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
440	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	16	yes	—
446	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
447	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
448	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
449	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
450	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
452	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
453	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
454	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
455	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
456	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
457	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
458	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
459	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
460	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₂²⋊C₄	C₂⁴	1	16	yes	—
462	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
464	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
468	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
469	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
470	C₄²×C₁₃	C₂⁴	1	2	yes	—
471	C₄²×C₁₃	C₂⁴	1	2	yes	—
472	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
473	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
474	C₄²×C₁₃	C₂⁴	1	2	yes	—
475	C₄²×C₁₃	C₂⁴	1	2	yes	—
476	C₄²×C₁₃	C₂⁴	1	2	yes	—
477	C₄²×C₁₃	C₂⁴	1	2	yes	—
478	C₄²×C₁₃	C₂⁴	1	8	yes	—
479	C₄²×C₁₃	C₂⁴	1	2	yes	—
480	C₄²×C₁₃	C₂⁴	1	4	yes	—
481	C₄²×C₁₃	C₂⁴	1	4	yes	—
482	C₄²×C₁₃	C₂⁴	1	4	yes	—
483	C₄²×C₁₃	C₂⁴	1	2	yes	—
484	C₄²×C₁₃	C₂⁴	1	16	yes	—
485	#3562	C₂×C₁₃	1	8	yes	complemented
486	#3554	C₂×C₁₃	1	4	yes	complemented
487	#3546	C₂×C₁₃	1	4	yes	complemented
488	#3542	C₂×C₁₃	1	8	yes	complemented
489	#3517	C₂×C₁₃	1	4	yes	complemented
490	#3514	C₂×C₁₃	1	4	yes	complemented
491	#3513	C₂×C₁₃	1	8	yes	complemented
492	#3511	C₂×C₁₃	1	4	yes	complemented
493	#3510	C₂×C₁₃	1	2	yes	complemented
494	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
495	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
496	#3508	C₂×C₁₃	1	4	yes	complemented
497	#3500	C₂×C₁₃	1	2	yes	complemented
498	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#3498	C₂×C₁₃	1	1	yes	characteristic, complemented
500	#3487	C₂×C₁₃	1	2	yes	complemented
501	#3485	C₂×C₁₃	1	2	yes	complemented
502	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
503	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
504	C₂×#532	C₂×C₁₃	1	1	yes	characteristic, complemented
505	C₂³×C₁₃	—	2	2	no	—
506	C₂³×C₁₃	—	2	8	no	—
507	C₂³×C₁₃	—	4	2	no	—
508	C₂³×C₁₃	—	4	8	no	—
509	C₂³×C₁₃	—	4	8	no	—
510	C₂³×C₁₃	—	4	16	no	—
511	C₂³×C₁₃	C₂⁵	1	2	yes	—
512	C₂³×C₁₃	C₂⁵	1	4	yes	—
513	C₂³×C₁₃	C₂⁵	1	8	yes	—
514	C₂³×C₁₃	C₂⁵	1	2	yes	—
515	C₂³×C₁₃	C₂⁵	1	2	yes	—
516	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
517	Q₈×C₁₃	—	2	8	no	—
518	Q₈×C₁₃	—	2	8	no	—
519	Q₈×C₁₃	—	2	2	no	—
520	Q₈×C₁₃	—	2	4	no	—
521	Q₈×C₁₃	—	2	2	no	—
522	Q₈×C₁₃	—	2	8	no	—
523	Q₈×C₁₃	—	4	8	no	—
524	Q₈×C₁₃	—	4	4	no	—
525	D₄×C₁₃	—	2	4	no	—
526	D₄×C₁₃	—	2	8	no	—
527	D₄×C₁₃	—	2	4	no	—
528	D₄×C₁₃	—	2	8	no	—
529	D₄×C₁₃	—	2	8	no	—
530	D₄×C₁₃	—	2	2	no	—
531	D₄×C₁₃	—	2	4	no	—
532	D₄×C₁₃	—	2	2	no	—
533	D₄×C₁₃	—	2	16	no	—
534	D₄×C₁₃	—	2	8	no	—
535	D₄×C₁₃	—	4	8	no	—
536	D₄×C₁₃	—	4	8	no	—
537	D₄×C₁₃	—	4	8	no	—
538	D₄×C₁₃	—	4	16	no	—
539	D₄×C₁₃	—	4	16	no	—
540	D₄×C₁₃	—	4	4	no	—
541	D₄×C₁₃	—	4	4	no	—
542	D₄×C₁₃	—	4	4	no	—
543	D₄×C₁₃	—	4	8	no	—
544	D₄×C₁₃	—	4	16	no	—
545	D₄×C₁₃	—	4	8	no	—
546	C₂×C₄×C₁₃	—	2	2	no	—
547	C₂×C₄×C₁₃	—	2	8	no	—
548	C₂×C₄×C₁₃	—	2	4	no	—
549	C₂×C₄×C₁₃	—	2	4	no	—
550	C₂×C₄×C₁₃	—	2	4	no	—
551	C₂×C₄×C₁₃	—	2	8	no	—
552	C₂×C₄×C₁₃	—	2	4	no	—
553	C₂×C₄×C₁₃	—	2	4	no	—
554	C₂×C₄×C₁₃	—	2	4	no	—
555	C₂×C₄×C₁₃	—	2	4	no	—
556	C₂×C₄×C₁₃	—	2	8	no	—
557	C₂×C₄×C₁₃	—	2	8	no	—
558	C₂×C₄×C₁₃	—	4	2	no	—
559	C₂×C₄×C₁₃	—	4	2	no	—
560	C₂×C₄×C₁₃	—	4	2	no	—
561	C₂×C₄×C₁₃	—	4	16	no	—
562	C₂×C₄×C₁₃	—	4	8	no	—
563	C₂×C₄×C₁₃	—	4	8	no	—
564	C₂×C₄×C₁₃	—	4	8	no	—
565	C₂×C₄×C₁₃	—	4	8	no	—
566	C₂×C₄×C₁₃	—	4	16	no	—
567	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
568	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
569	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
570	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
571	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
572	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
573	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
574	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
575	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
576	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
577	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
578	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
579	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
580	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
581	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
582	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
583	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	—
584	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
585	#562	C₂²×C₁₃	1	16	yes	complemented
586	#560	C₂²×C₁₃	1	16	yes	complemented
587	#559	C₂²×C₁₃	1	8	yes	complemented
588	#559	C₂²×C₁₃	1	8	yes	complemented
589	#559	C₂²×C₁₃	1	4	yes	complemented
590	#557	C₂²×C₁₃	1	4	yes	complemented
591	#556	C₂²×C₁₃	1	4	yes	complemented
592	#556	C₂²×C₁₃	1	8	yes	complemented
593	#555	C₂²×C₁₃	1	8	yes	complemented
594	#554	C₂²×C₁₃	1	8	yes	complemented
595	#553	C₂²×C₁₃	1	8	yes	complemented
596	#553	C₂²×C₁₃	1	8	yes	complemented
597	#553	C₂²×C₁₃	1	16	yes	complemented
598	#552	C₂²×C₁₃	1	8	yes	complemented
599	#551	C₂²×C₁₃	1	16	yes	complemented
600	#551	C₂²×C₁₃	1	16	yes	complemented
601	#550	C₂²×C₁₃	1	8	yes	complemented
602	#550	C₂²×C₁₃	1	8	yes	complemented
603	#550	C₂²×C₁₃	1	4	yes	complemented
604	#550	C₂²×C₁₃	1	8	yes	complemented
605	#550	C₂²×C₁₃	1	4	yes	complemented
606	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
607	#548	C₂²×C₁₃	1	8	yes	complemented
608	#548	C₂²×C₁₃	1	8	yes	complemented
609	#548	C₂²×C₁₃	1	8	yes	complemented
610	#547	C₂²×C₁₃	1	8	yes	complemented
611	#547	C₂²×C₁₃	1	8	yes	complemented
612	#547	C₂²×C₁₃	1	8	yes	complemented
613	#547	C₂²×C₁₃	1	4	yes	complemented
614	#546	C₂²×C₁₃	1	8	yes	complemented
615	#546	C₂²×C₁₃	1	8	yes	complemented
616	#546	C₂²×C₁₃	1	8	yes	complemented
617	#546	C₂²×C₁₃	1	16	yes	complemented
618	#546	C₂²×C₁₃	1	8	yes	complemented
619	#546	C₂²×C₁₃	1	8	yes	complemented
620	#546	C₂²×C₁₃	1	8	yes	complemented
621	D₄²	C₂²×C₁₃	1	8	yes	—
622	D₄²	C₂²×C₁₃	1	4	yes	complemented
623	#542	C₂²×C₁₃	1	8	yes	complemented
624	#542	C₂²×C₁₃	1	8	yes	complemented
625	#542	C₂²×C₁₃	1	8	yes	complemented
626	#541	C₂²×C₁₃	1	4	yes	complemented
627	#540	C₂²×C₁₃	1	8	yes	complemented
628	#540	C₂²×C₁₃	1	8	yes	complemented
629	#540	C₂²×C₁₃	1	4	yes	complemented
630	#540	C₂²×C₁₃	1	16	yes	complemented
631	#539	C₂²×C₁₃	1	16	yes	complemented
632	#538	C₂²×C₁₃	1	16	yes	complemented
633	#538	C₂²×C₁₃	1	16	yes	complemented
634	#537	C₂²×C₁₃	1	8	yes	complemented
635	#536	C₂²×C₁₃	1	2	yes	—
636	#536	C₂²×C₁₃	1	2	yes	complemented
637	#536	C₂²×C₁₃	1	4	yes	complemented
638	#536	C₂²×C₁₃	1	4	yes	complemented
639	#535	C₂²×C₁₃	1	2	yes	—
640	#535	C₂²×C₁₃	1	2	yes	complemented
641	#535	C₂²×C₁₃	1	8	yes	complemented
642	#535	C₂²×C₁₃	1	4	yes	complemented
643	#535	C₂²×C₁₃	1	4	yes	complemented
644	#535	C₂²×C₁₃	1	8	yes	complemented
645	#534	C₂²×C₁₃	1	8	yes	complemented
646	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#533	C₂²×C₁₃	1	2	yes	complemented
649	#533	C₂²×C₁₃	1	2	yes	complemented
650	#533	C₂²×C₁₃	1	4	yes	complemented
651	#532	C₂²×C₁₃	1	1	yes	characteristic
652	#532	C₂²×C₁₃	1	1	yes	characteristic
653	#532	C₂²×C₁₃	1	4	yes	complemented
654	#532	C₂²×C₁₃	1	4	yes	complemented
655	#532	C₂²×C₁₃	1	4	yes	complemented
656	#532	C₂²×C₁₃	1	4	yes	complemented
657	#532	C₂²×C₁₃	1	2	yes	complemented
658	#532	C₂²×C₁₃	1	2	yes	complemented
659	#532	C₂²×C₁₃	1	2	yes	complemented
660	#532	C₂²×C₁₃	1	2	yes	complemented
661	#532	C₂²×C₁₃	1	4	yes	complemented
662	#532	C₂²×C₁₃	1	4	yes	complemented
663	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
665	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
666	C₂×#127	C₂²×C₁₃	1	2	yes	complemented
667	#529	C₂²×C₁₃	1	4	yes	complemented
668	#529	C₂²×C₁₃	1	4	yes	complemented
669	#529	C₂²×C₁₃	1	2	yes	complemented
670	#529	C₂²×C₁₃	1	2	yes	complemented
671	#529	C₂²×C₁₃	1	4	yes	complemented
672	#529	C₂²×C₁₃	1	4	yes	complemented
673	#529	C₂²×C₁₃	1	4	yes	complemented
674	#529	C₂²×C₁₃	1	8	yes	complemented
675	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
676	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
677	#525	C₂²×C₁₃	1	1	yes	characteristic
678	#525	C₂²×C₁₃	1	2	yes	complemented
679	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	#525	C₂²×C₁₃	1	4	yes	complemented
681	#525	C₂²×C₁₃	1	4	yes	complemented
682	#525	C₂²×C₁₃	1	8	yes	complemented
683	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
684	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
685	#520	C₂²×C₁₃	1	8	yes	complemented
686	#519	C₂²×C₁₃	1	2	yes	complemented
687	#518	C₂²×C₁₃	1	2	yes	complemented
688	#518	C₂²×C₁₃	1	8	yes	complemented
689	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
690	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
692	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
693	C₄×#41	C₂²×C₁₃	1	4	yes	complemented
694	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	complemented
695	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	C₂²×C₁₃	—	2	2	no	—
697	C₂²×C₁₃	—	2	2	no	—
698	C₂²×C₁₃	—	2	2	no	—
699	C₂²×C₁₃	—	2	4	no	—
700	C₂²×C₁₃	—	2	2	no	—
701	C₂²×C₁₃	—	2	8	no	—
702	C₂²×C₁₃	—	2	2	no	—
703	C₂²×C₁₃	—	2	2	no	—
704	C₂²×C₁₃	—	2	4	no	—
705	C₂²×C₁₃	—	2	4	no	—
706	C₂²×C₁₃	—	2	16	no	—
707	C₂²×C₁₃	—	2	8	no	—
708	C₂²×C₁₃	—	4	4	no	—
709	C₂²×C₁₃	—	8	8	no	—
710	C₂²×C₁₃	—	16	8	no	—
711	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
712	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
713	C₄×C₁₃	—	2	2	no	—
714	C₄×C₁₃	—	2	2	no	—
715	C₄×C₁₃	—	2	4	no	—
716	C₄×C₁₃	—	2	2	no	—
717	C₄×C₁₃	—	2	8	no	—
718	C₄×C₁₃	—	2	2	no	—
719	C₄×C₁₃	—	2	4	no	—
720	C₄×C₁₃	—	2	2	no	—
721	C₄×C₁₃	—	2	2	no	—
722	C₄×C₁₃	—	2	4	no	—
723	C₄×C₁₃	—	2	8	no	—
724	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
725	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
726	C₄×C₁₃	#585	1	4	yes	—
727	2₋¹⁺⁴	—	4	8	no	—
728	H(5,𝔽₂)	—	4	8	no	—
729	C₂×#41	—	4	8	no	—
730	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×#41	C₂³×C₁₃	1	2	yes	—
732	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×#41	C₂³×C₁₃	1	4	yes	—
734	C₂×#41	C₂³×C₁₃	1	4	yes	—
735	C₂×#41	C₂³×C₁₃	1	8	yes	—
736	C₂×#41	C₂³×C₁₃	1	8	yes	—
737	C₂×#41	C₂³×C₁₃	1	8	yes	—
738	C₂×#41	C₂³×C₁₃	1	8	yes	—
739	C₂×#41	C₂³×C₁₃	1	4	yes	—
740	C₂×#41	C₂³×C₁₃	1	4	yes	—
741	C₂×#41	C₂³×C₁₃	1	4	yes	—
742	C₂×#41	C₂³×C₁₃	1	4	yes	—
743	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
744	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
745	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
746	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
747	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
748	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
749	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
750	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
751	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
752	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
753	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
754	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
755	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
756	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
757	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
758	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
759	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
760	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
761	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
762	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
763	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
764	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
765	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
766	#127	C₂³×C₁₃	1	2	yes	—
767	#127	C₂³×C₁₃	1	2	yes	—
768	#127	C₂³×C₁₃	1	4	yes	—
769	#127	C₂³×C₁₃	1	1	yes	characteristic
770	#127	C₂³×C₁₃	1	4	yes	—
771	#127	C₂³×C₁₃	1	8	yes	—
772	#127	C₂³×C₁₃	1	1	yes	characteristic
773	#127	C₂³×C₁₃	1	4	yes	—
774	#127	C₂³×C₁₃	1	16	yes	—
775	#126	C₂³×C₁₃	1	8	yes	—
776	#126	C₂³×C₁₃	1	4	yes	—
777	#126	C₂³×C₁₃	1	4	yes	—
778	#126	C₂³×C₁₃	1	16	yes	—
779	#126	C₂³×C₁₃	1	16	yes	—
780	#126	C₂³×C₁₃	1	16	yes	—
781	#125	C₂³×C₁₃	1	2	yes	—
782	#125	C₂³×C₁₃	1	4	yes	—
783	#125	C₂³×C₁₃	1	2	yes	—
784	#125	C₂³×C₁₃	1	4	yes	—
785	#125	C₂³×C₁₃	1	8	yes	—
786	#125	C₂³×C₁₃	1	16	yes	—
787	#124	C₂³×C₁₃	1	1	yes	characteristic
788	#124	C₂³×C₁₃	1	4	yes	—
789	#124	C₂³×C₁₃	1	4	yes	—
790	#124	C₂³×C₁₃	1	8	yes	—
791	#124	C₂³×C₁₃	1	4	yes	—
792	#124	C₂³×C₁₃	1	4	yes	—
793	#124	C₂³×C₁₃	1	16	yes	—
794	#124	C₂³×C₁₃	1	1	yes	characteristic
795	#124	C₂³×C₁₃	1	2	yes	—
796	#124	C₂³×C₁₃	1	4	yes	—
797	#124	C₂³×C₁₃	1	4	yes	—
798	#124	C₂³×C₁₃	1	4	yes	—
799	#124	C₂³×C₁₃	1	4	yes	—
800	#124	C₂³×C₁₃	1	8	yes	—
801	#124	C₂³×C₁₃	1	16	yes	—
802	#124	C₂³×C₁₃	1	16	yes	—
803	#123	C₂³×C₁₃	1	2	yes	—
804	#123	C₂³×C₁₃	1	4	yes	—
805	#123	C₂³×C₁₃	1	8	yes	—
806	#123	C₂³×C₁₃	1	8	yes	—
807	#123	C₂³×C₁₃	1	16	yes	—
808	#123	C₂³×C₁₃	1	16	yes	—
809	#123	C₂³×C₁₃	1	2	yes	—
810	#123	C₂³×C₁₃	1	4	yes	—
811	#123	C₂³×C₁₃	1	4	yes	—
812	#123	C₂³×C₁₃	1	8	yes	—
813	#123	C₂³×C₁₃	1	16	yes	—
814	#123	C₂³×C₁₃	1	16	yes	—
815	#123	C₂³×C₁₃	1	16	yes	—
816	#123	C₂³×C₁₃	1	16	yes	—
817	#123	C₂³×C₁₃	1	16	yes	—
818	#123	C₂³×C₁₃	1	16	yes	—
819	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
820	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
821	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
822	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
823	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
824	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
825	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
826	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
827	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
828	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
829	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
830	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
831	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
832	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	—
833	#121	C₂³×C₁₃	1	8	yes	—
834	#121	C₂³×C₁₃	1	8	yes	—
835	#121	C₂³×C₁₃	1	8	yes	—
836	#121	C₂³×C₁₃	1	8	yes	—
837	#121	C₂³×C₁₃	1	2	yes	—
838	#121	C₂³×C₁₃	1	4	yes	—
839	#121	C₂³×C₁₃	1	4	yes	—
840	#121	C₂³×C₁₃	1	4	yes	—
841	#121	C₂³×C₁₃	1	4	yes	—
842	#121	C₂³×C₁₃	1	2	yes	—
843	#121	C₂³×C₁₃	1	4	yes	—
844	#121	C₂³×C₁₃	1	16	yes	—
845	#121	C₂³×C₁₃	1	8	yes	—
846	#121	C₂³×C₁₃	1	8	yes	—
847	#121	C₂³×C₁₃	1	8	yes	—
848	#121	C₂³×C₁₃	1	8	yes	—
849	#121	C₂³×C₁₃	1	8	yes	—
850	#121	C₂³×C₁₃	1	16	yes	—
851	#121	C₂³×C₁₃	1	16	yes	—
852	#121	C₂³×C₁₃	1	16	yes	—
853	#121	C₂³×C₁₃	1	16	yes	—
854	#121	C₂³×C₁₃	1	16	yes	—
855	#121	C₂³×C₁₃	1	16	yes	—
856	#121	C₂³×C₁₃	1	16	yes	—
857	#121	C₂³×C₁₃	1	16	yes	—
858	#120	C₂³×C₁₃	1	2	yes	—
859	#120	C₂³×C₁₃	1	4	yes	—
860	#120	C₂³×C₁₃	1	2	yes	—
861	#120	C₂³×C₁₃	1	8	yes	—
862	#120	C₂³×C₁₃	1	8	yes	—
863	#120	C₂³×C₁₃	1	16	yes	—
864	#120	C₂³×C₁₃	1	16	yes	—
865	#120	C₂³×C₁₃	1	16	yes	—
866	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
867	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
868	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
869	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
870	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
871	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
872	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
873	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
874	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
875	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
876	C₄×D₄	C₂³×C₁₃	1	8	yes	—
877	C₄×D₄	C₂³×C₁₃	1	8	yes	—
878	C₄×D₄	C₂³×C₁₃	1	8	yes	—
879	C₄×D₄	C₂³×C₁₃	1	8	yes	—
880	C₄×D₄	C₂³×C₁₃	1	4	yes	—
881	C₄×D₄	C₂³×C₁₃	1	2	yes	—
882	C₄×D₄	C₂³×C₁₃	1	4	yes	—
883	C₄×D₄	C₂³×C₁₃	1	4	yes	—
884	C₄×D₄	C₂³×C₁₃	1	8	yes	—
885	C₄×D₄	C₂³×C₁₃	1	4	yes	—
886	C₄×D₄	C₂³×C₁₃	1	8	yes	—
887	C₄×D₄	C₂³×C₁₃	1	4	yes	—
888	C₄×D₄	C₂³×C₁₃	1	8	yes	—
889	C₄×D₄	C₂³×C₁₃	1	4	yes	—
890	C₄×D₄	C₂³×C₁₃	1	4	yes	—
891	C₄×D₄	C₂³×C₁₃	1	4	yes	—
892	C₄×D₄	C₂³×C₁₃	1	4	yes	—
893	C₄×D₄	C₂³×C₁₃	1	4	yes	—
894	C₄×D₄	C₂³×C₁₃	1	4	yes	—
895	C₄×D₄	C₂³×C₁₃	1	2	yes	—
896	C₄×D₄	C₂³×C₁₃	1	16	yes	—
897	C₄×D₄	C₂³×C₁₃	1	16	yes	—
898	C₄×D₄	C₂³×C₁₃	1	8	yes	—
899	C₄×D₄	C₂³×C₁₃	1	8	yes	—
900	C₄×D₄	C₂³×C₁₃	1	8	yes	—
901	C₄×D₄	C₂³×C₁₃	1	8	yes	—
902	C₄×D₄	C₂³×C₁₃	1	16	yes	—
903	C₄×D₄	C₂³×C₁₃	1	16	yes	—
904	C₄×D₄	C₂³×C₁₃	1	8	yes	—
905	#117	C₂³×C₁₃	1	1	yes	characteristic
906	#117	C₂³×C₁₃	1	2	yes	—
907	#117	C₂³×C₁₃	1	1	yes	characteristic
908	#117	C₂³×C₁₃	1	4	yes	—
909	#117	C₂³×C₁₃	1	2	yes	—
910	#117	C₂³×C₁₃	1	4	yes	—
911	#117	C₂³×C₁₃	1	4	yes	—
912	#117	C₂³×C₁₃	1	4	yes	—
913	#117	C₂³×C₁₃	1	4	yes	—
914	#117	C₂³×C₁₃	1	2	yes	—
915	#117	C₂³×C₁₃	1	8	yes	—
916	#117	C₂³×C₁₃	1	8	yes	—
917	#117	C₂³×C₁₃	1	8	yes	—
918	#117	C₂³×C₁₃	1	16	yes	—
919	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
920	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	—
921	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
922	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
923	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
924	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
925	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
926	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
927	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
928	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
929	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
930	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
931	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
932	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
933	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
934	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
935	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
936	C₂×C₁₃	—	2	2	no	—
937	C₂×C₁₃	—	4	2	no	—
938	C₂×C₁₃	—	4	2	no	—
939	C₂×C₁₃	—	4	8	no	—
940	C₂×C₁₃	—	4	4	no	—
941	C₂×C₁₃	—	4	2	no	—
942	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
943	C₂×C₁₃	C₂×#585	1	2	yes	—
944	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
945	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
947	#41	—	2	4	no	—
948	#41	—	2	8	no	—
949	#41	—	2	4	no	—
950	#41	—	4	8	no	—
951	#41	—	4	16	no	—
952	#41	—	4	16	no	—
953	#41	—	4	16	no	—
954	#41	—	4	8	no	—
955	#41	—	4	8	no	—
956	#41	—	4	8	no	—
957	#41	—	4	8	no	—
958	#41	—	4	8	no	—
959	#41	—	4	16	no	—
960	C₂×Q₈	—	2	8	no	—
961	C₂×Q₈	—	4	8	no	—
962	C₂×Q₈	—	4	8	no	—
963	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
964	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
966	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
967	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
968	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
970	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
971	C₂×D₄	—	2	8	no	—
972	C₂×D₄	—	4	8	no	—
973	C₂×D₄	—	4	8	no	—
974	C₂×D₄	—	4	8	no	—
975	C₂×D₄	—	4	16	no	—
976	C₂×D₄	—	4	8	no	—
977	C₂×D₄	—	4	16	no	—
978	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
979	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
980	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
981	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
982	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
983	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
984	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
985	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
986	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
987	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
989	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
990	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
991	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
992	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
993	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
994	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
995	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
996	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
997	C₂×D₄	C₂⁴×C₁₃	1	16	yes	—
998	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
999	C₂²×C₄	—	2	4	no	—
1000	C₂²×C₄	—	4	4	no	—
1001	C₂²×C₄	—	4	8	no	—
1002	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1003	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1004	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1005	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1006	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1007	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1009	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1010	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1011	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1012	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1013	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1014	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1015	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1016	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1017	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1018	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
1019	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1020	C₂²×C₄	C₂⁴×C₁₃	1	16	yes	—
1021	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1022	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1023	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1025	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1026	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1027	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1028	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1029	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1030	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1031	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1032	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1033	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1034	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1035	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1036	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1037	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1038	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1039	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1040	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1041	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1042	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1043	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1044	C₄⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1045	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1046	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1047	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1048	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1049	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1050	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1051	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1052	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1053	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1054	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1055	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1056	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1057	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1058	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1059	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1060	C₂²⋊C₄	C₂⁴×C₁₃	1	16	yes	—
1061	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1062	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1063	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1064	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1065	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1066	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1067	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1068	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1069	C₄²	C₂⁴×C₁₃	1	2	yes	—
1070	C₄²	C₂⁴×C₁₃	1	2	yes	—
1071	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1072	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1073	C₄²	C₂⁴×C₁₃	1	2	yes	—
1074	C₄²	C₂⁴×C₁₃	1	2	yes	—
1075	C₄²	C₂⁴×C₁₃	1	2	yes	—
1076	C₄²	C₂⁴×C₁₃	1	2	yes	—
1077	C₄²	C₂⁴×C₁₃	1	8	yes	—
1078	C₄²	C₂⁴×C₁₃	1	2	yes	—
1079	C₄²	C₂⁴×C₁₃	1	4	yes	—
1080	C₄²	C₂⁴×C₁₃	1	4	yes	—
1081	C₄²	C₂⁴×C₁₃	1	4	yes	—
1082	C₄²	C₂⁴×C₁₃	1	2	yes	—
1083	C₄²	C₂⁴×C₁₃	1	16	yes	—
1084	C₁₃	#62836	1	1	yes	characteristic, direct product factor, Sylow
1085	C₂³	—	2	2	no	—
1086	C₂³	—	2	8	no	—
1087	C₂³	—	4	2	no	—
1088	C₂³	—	4	8	no	—
1089	C₂³	—	4	8	no	—
1090	C₂³	—	4	16	no	—
1091	C₂³	C₂⁵×C₁₃	1	2	yes	—
1092	C₂³	C₂⁵×C₁₃	1	4	yes	—
1093	C₂³	C₂⁵×C₁₃	1	8	yes	—
1094	C₂³	C₂⁵×C₁₃	1	2	yes	—
1095	C₂³	C₂⁵×C₁₃	1	2	yes	—
1096	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1097	Q₈	—	2	8	no	—
1098	Q₈	—	2	8	no	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	4	no	—
1101	Q₈	—	2	2	no	—
1102	Q₈	—	2	8	no	—
1103	Q₈	—	4	8	no	—
1104	Q₈	—	4	4	no	—
1105	D₄	—	2	4	no	—
1106	D₄	—	2	8	no	—
1107	D₄	—	2	4	no	—
1108	D₄	—	2	8	no	—
1109	D₄	—	2	8	no	—
1110	D₄	—	2	2	no	—
1111	D₄	—	2	4	no	—
1112	D₄	—	2	2	no	—
1113	D₄	—	2	16	no	—
1114	D₄	—	2	8	no	—
1115	D₄	—	4	8	no	—
1116	D₄	—	4	8	no	—
1117	D₄	—	4	8	no	—
1118	D₄	—	4	16	no	—
1119	D₄	—	4	16	no	—
1120	D₄	—	4	4	no	—
1121	D₄	—	4	4	no	—
1122	D₄	—	4	4	no	—
1123	D₄	—	4	8	no	—
1124	D₄	—	4	16	no	—
1125	D₄	—	4	8	no	—
1126	C₂×C₄	—	2	2	no	—
1127	C₂×C₄	—	2	8	no	—
1128	C₂×C₄	—	2	4	no	—
1129	C₂×C₄	—	2	4	no	—
1130	C₂×C₄	—	2	4	no	—
1131	C₂×C₄	—	2	8	no	—
1132	C₂×C₄	—	2	4	no	—
1133	C₂×C₄	—	2	4	no	—
1134	C₂×C₄	—	2	4	no	—
1135	C₂×C₄	—	2	4	no	—
1136	C₂×C₄	—	2	8	no	—
1137	C₂×C₄	—	2	8	no	—
1138	C₂×C₄	—	4	2	no	—
1139	C₂×C₄	—	4	2	no	—
1140	C₂×C₄	—	4	2	no	—
1141	C₂×C₄	—	4	16	no	—
1142	C₂×C₄	—	4	8	no	—
1143	C₂×C₄	—	4	8	no	—
1144	C₂×C₄	—	4	8	no	—
1145	C₂×C₄	—	4	8	no	—
1146	C₂×C₄	—	4	16	no	—
1147	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1148	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1149	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1150	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1151	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1152	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1153	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1154	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1155	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1156	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1157	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1158	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1159	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1160	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1161	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1162	C₂²	—	2	2	no	—
1163	C₂²	—	2	2	no	—
1164	C₂²	—	2	2	no	—
1165	C₂²	—	2	4	no	—
1166	C₂²	—	2	2	no	—
1167	C₂²	—	2	8	no	—
1168	C₂²	—	2	2	no	—
1169	C₂²	—	2	2	no	—
1170	C₂²	—	2	4	no	—
1171	C₂²	—	2	4	no	—
1172	C₂²	—	2	16	no	—
1173	C₂²	—	2	8	no	—
1174	C₂²	—	4	4	no	—
1175	C₂²	—	8	8	no	—
1176	C₂²	—	16	8	no	—
1177	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1178	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1179	C₄	—	2	2	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	4	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	8	no	—
1184	C₄	—	2	2	no	—
1185	C₄	—	2	4	no	—
1186	C₄	—	2	2	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	2	4	no	—
1189	C₄	—	2	8	no	—
1190	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1191	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1192	C₄	C₁₃×#585	1	4	yes	—
1193	C₂	—	2	2	no	—
1194	C₂	—	4	2	no	—
1195	C₂	—	4	8	no	—
1196	C₂	—	4	2	no	—
1197	C₂	—	4	4	no	—
1198	C₂	—	4	2	no	—
1199	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1200	C₂	C₂×C₁₃×#585	1	2	yes	—

	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×#3562	C₂	semidirect
2. C₁₃×#3554	C₂	semidirect
3. C₁₃×#3546	C₂	semidirect
4. C₁₃×#3542	C₂	semidirect
5. C₁₃×#3517	C₂	semidirect
6. C₁₃×#3514	C₂	semidirect
7. C₁₃×#3513	C₂	semidirect
8. C₁₃×#3511	C₂	semidirect
9. C₁₃×#3510	C₂	semidirect
10. C₁₃×#3509	C₂	semidirect
11. C₁₃×#3508	C₂	semidirect
12. C₁₃×#3508	C₂	semidirect
13. C₁₃×#3500	C₂	semidirect
14. C₁₃×#3499	C₂	semidirect
15. C₁₃×#3498	C₂	semidirect
16. C₁₃×#3487	C₂	semidirect
17. C₁₃×#3485	C₂	semidirect
18. C₁₃×#3444	C₂	semidirect
19. C₁₃×#3444	C₂	semidirect
20. C₂×C₁₃×#532	C₂	semidirect
21. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂²×C₁₃×#41	C₂²	semidirect
24. C₁₃×#562	C₂²	semidirect
25. C₁₃×#560	C₂²	semidirect
26. C₁₃×#559	C₂²	semidirect
27. C₁₃×#559	C₂²	semidirect
28. C₁₃×#559	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
30. C₁₃×#556	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
32. C₁₃×#555	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
37. C₁₃×#552	C₂²	semidirect
38. C₁₃×#551	C₂²	semidirect
39. C₁₃×#551	C₂²	semidirect
40. C₁₃×#550	C₂²	semidirect
41. C₁₃×#550	C₂²	semidirect
42. C₁₃×#550	C₂²	semidirect
43. C₁₃×#550	C₂²	semidirect
44. C₁₃×#550	C₂²	semidirect
45. D₄×Q₈×C₁₃	C₂²	semidirect
46. C₁₃×#548	C₂²	semidirect
47. C₁₃×#548	C₂²	semidirect
48. C₁₃×#548	C₂²	semidirect
49. C₁₃×#547	C₂²	semidirect
50. C₁₃×#547	C₂²	semidirect
51. C₁₃×#547	C₂²	semidirect
52. C₁₃×#547	C₂²	semidirect
53. C₁₃×#546	C₂²	semidirect
54. C₁₃×#546	C₂²	semidirect
55. C₁₃×#546	C₂²	semidirect
56. C₁₃×#546	C₂²	semidirect
57. C₁₃×#546	C₂²	semidirect
58. C₁₃×#546	C₂²	semidirect
59. C₁₃×#546	C₂²	semidirect
61. D₄²×C₁₃	C₂²	semidirect
62. C₁₃×#542	C₂²	semidirect
63. C₁₃×#542	C₂²	semidirect
64. C₁₃×#542	C₂²	semidirect
65. C₁₃×#541	C₂²	semidirect
66. C₁₃×#540	C₂²	semidirect
67. C₁₃×#540	C₂²	semidirect
68. C₁₃×#540	C₂²	semidirect
69. C₁₃×#540	C₂²	semidirect
70. C₁₃×#539	C₂²	semidirect
71. C₁₃×#538	C₂²	semidirect
72. C₁₃×#538	C₂²	semidirect
73. C₁₃×#537	C₂²	semidirect
75. C₁₃×#536	C₂²	semidirect
76. C₁₃×#536	C₂²	semidirect
77. C₁₃×#536	C₂²	semidirect
79. C₁₃×#535	C₂²	semidirect
80. C₁₃×#535	C₂²	semidirect
81. C₁₃×#535	C₂²	semidirect
82. C₁₃×#535	C₂²	semidirect
83. C₁₃×#535	C₂²	semidirect
84. C₁₃×#534	C₂²	semidirect
85. C₁₃×#533	C₂²	semidirect
86. C₁₃×#533	C₂²	semidirect
87. C₁₃×#533	C₂²	semidirect
88. C₁₃×#533	C₂²	semidirect
89. C₁₃×#533	C₂²	semidirect
92. C₁₃×#532	C₂²	semidirect
93. C₁₃×#532	C₂²	semidirect
94. C₁₃×#532	C₂²	semidirect
95. C₁₃×#532	C₂²	semidirect
96. C₁₃×#532	C₂²	semidirect
97. C₁₃×#532	C₂²	semidirect
98. C₁₃×#532	C₂²	semidirect
99. C₁₃×#532	C₂²	semidirect
100. C₁₃×#532	C₂²	semidirect
101. C₁₃×#532	C₂²	semidirect
102. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
103. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
105. C₂×C₁₃×#127	C₂²	semidirect
106. C₁₃×#529	C₂²	semidirect
107. C₁₃×#529	C₂²	semidirect
108. C₁₃×#529	C₂²	semidirect
109. C₁₃×#529	C₂²	semidirect
110. C₁₃×#529	C₂²	semidirect
111. C₁₃×#529	C₂²	semidirect
112. C₁₃×#529	C₂²	semidirect
113. C₁₃×#529	C₂²	semidirect
114. C₂×C₁₃×#124	C₂²	semidirect
115. C₂×C₁₃×#124	C₂²	semidirect
117. C₁₃×#525	C₂²	semidirect
118. C₁₃×#525	C₂²	semidirect
119. C₁₃×#525	C₂²	semidirect
120. C₁₃×#525	C₂²	semidirect
121. C₁₃×#525	C₂²	semidirect
122. C₂×C₁₃×#123	C₂²	semidirect
123. C₂×C₁₃×#121	C₂²	semidirect
124. C₁₃×#520	C₂²	semidirect
125. C₁₃×#519	C₂²	semidirect
126. C₁₃×#518	C₂²	semidirect
127. C₁₃×#518	C₂²	semidirect
129. C₄×C₁₃×#41	C₂²	semidirect
130. C₄×C₁₃×#41	C₂²	semidirect
131. C₄×C₁₃×#41	C₂²	semidirect
132. C₄×C₁₃×#41	C₂²	semidirect
133. C₂×C₄×D₄×C₁₃	C₂²	semidirect
134. C₂²×C₄²×C₁₃	C₂²	semidirect
344. #62836	C₁₃	direct (N × H)
485. #3562	C₂×C₁₃	semidirect
486. #3554	C₂×C₁₃	semidirect
487. #3546	C₂×C₁₃	semidirect
488. #3542	C₂×C₁₃	semidirect
489. #3517	C₂×C₁₃	semidirect
490. #3514	C₂×C₁₃	semidirect
491. #3513	C₂×C₁₃	semidirect
492. #3511	C₂×C₁₃	semidirect
493. #3510	C₂×C₁₃	semidirect
494. #3509	C₂×C₁₃	semidirect
495. #3508	C₂×C₁₃	semidirect
496. #3508	C₂×C₁₃	semidirect
497. #3500	C₂×C₁₃	semidirect
498. #3499	C₂×C₁₃	semidirect
499. #3498	C₂×C₁₃	semidirect
500. #3487	C₂×C₁₃	semidirect
501. #3485	C₂×C₁₃	semidirect
502. #3444	C₂×C₁₃	semidirect
503. #3444	C₂×C₁₃	semidirect
504. C₂×#532	C₂×C₁₃	semidirect
582. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
584. C₂²×#41	C₂²×C₁₃	semidirect
585. #562	C₂²×C₁₃	semidirect
586. #560	C₂²×C₁₃	semidirect
587. #559	C₂²×C₁₃	semidirect
588. #559	C₂²×C₁₃	semidirect
589. #559	C₂²×C₁₃	semidirect
590. #557	C₂²×C₁₃	semidirect
591. #556	C₂²×C₁₃	semidirect
592. #556	C₂²×C₁₃	semidirect
593. #555	C₂²×C₁₃	semidirect
594. #554	C₂²×C₁₃	semidirect
595. #553	C₂²×C₁₃	semidirect
596. #553	C₂²×C₁₃	semidirect
597. #553	C₂²×C₁₃	semidirect
598. #552	C₂²×C₁₃	semidirect
599. #551	C₂²×C₁₃	semidirect
600. #551	C₂²×C₁₃	semidirect
601. #550	C₂²×C₁₃	semidirect
602. #550	C₂²×C₁₃	semidirect
603. #550	C₂²×C₁₃	semidirect
604. #550	C₂²×C₁₃	semidirect
605. #550	C₂²×C₁₃	semidirect
606. D₄×Q₈	C₂²×C₁₃	semidirect
607. #548	C₂²×C₁₃	semidirect
608. #548	C₂²×C₁₃	semidirect
609. #548	C₂²×C₁₃	semidirect
610. #547	C₂²×C₁₃	semidirect
611. #547	C₂²×C₁₃	semidirect
612. #547	C₂²×C₁₃	semidirect
613. #547	C₂²×C₁₃	semidirect
614. #546	C₂²×C₁₃	semidirect
615. #546	C₂²×C₁₃	semidirect
616. #546	C₂²×C₁₃	semidirect
617. #546	C₂²×C₁₃	semidirect
618. #546	C₂²×C₁₃	semidirect
619. #546	C₂²×C₁₃	semidirect
620. #546	C₂²×C₁₃	semidirect
622. D₄²	C₂²×C₁₃	semidirect
623. #542	C₂²×C₁₃	semidirect
624. #542	C₂²×C₁₃	semidirect
625. #542	C₂²×C₁₃	semidirect
626. #541	C₂²×C₁₃	semidirect
627. #540	C₂²×C₁₃	semidirect
628. #540	C₂²×C₁₃	semidirect
629. #540	C₂²×C₁₃	semidirect
630. #540	C₂²×C₁₃	semidirect
631. #539	C₂²×C₁₃	semidirect
632. #538	C₂²×C₁₃	semidirect
633. #538	C₂²×C₁₃	semidirect
634. #537	C₂²×C₁₃	semidirect
636. #536	C₂²×C₁₃	semidirect
637. #536	C₂²×C₁₃	semidirect
638. #536	C₂²×C₁₃	semidirect
640. #535	C₂²×C₁₃	semidirect
641. #535	C₂²×C₁₃	semidirect
642. #535	C₂²×C₁₃	semidirect
643. #535	C₂²×C₁₃	semidirect
644. #535	C₂²×C₁₃	semidirect
645. #534	C₂²×C₁₃	semidirect
646. #533	C₂²×C₁₃	semidirect
647. #533	C₂²×C₁₃	semidirect
648. #533	C₂²×C₁₃	semidirect
649. #533	C₂²×C₁₃	semidirect
650. #533	C₂²×C₁₃	semidirect
653. #532	C₂²×C₁₃	semidirect
654. #532	C₂²×C₁₃	semidirect
655. #532	C₂²×C₁₃	semidirect
656. #532	C₂²×C₁₃	semidirect
657. #532	C₂²×C₁₃	semidirect
658. #532	C₂²×C₁₃	semidirect
659. #532	C₂²×C₁₃	semidirect
660. #532	C₂²×C₁₃	semidirect
661. #532	C₂²×C₁₃	semidirect
662. #532	C₂²×C₁₃	semidirect
663. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
664. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
666. C₂×#127	C₂²×C₁₃	semidirect
667. #529	C₂²×C₁₃	semidirect
668. #529	C₂²×C₁₃	semidirect
669. #529	C₂²×C₁₃	semidirect
670. #529	C₂²×C₁₃	semidirect
671. #529	C₂²×C₁₃	semidirect
672. #529	C₂²×C₁₃	semidirect
673. #529	C₂²×C₁₃	semidirect
674. #529	C₂²×C₁₃	semidirect
675. C₂×#124	C₂²×C₁₃	semidirect
676. C₂×#124	C₂²×C₁₃	semidirect
678. #525	C₂²×C₁₃	semidirect
679. #525	C₂²×C₁₃	semidirect
680. #525	C₂²×C₁₃	semidirect
681. #525	C₂²×C₁₃	semidirect
682. #525	C₂²×C₁₃	semidirect
683. C₂×#123	C₂²×C₁₃	semidirect
684. C₂×#121	C₂²×C₁₃	semidirect
685. #520	C₂²×C₁₃	semidirect
686. #519	C₂²×C₁₃	semidirect
687. #518	C₂²×C₁₃	semidirect
688. #518	C₂²×C₁₃	semidirect
690. C₄×#41	C₂²×C₁₃	semidirect
691. C₄×#41	C₂²×C₁₃	semidirect
692. C₄×#41	C₂²×C₁₃	semidirect
693. C₄×#41	C₂²×C₁₃	semidirect
694. C₂×C₄×D₄	C₂²×C₁₃	semidirect
695. C₂²×C₄²	C₂²×C₁₃	semidirect
1084. C₁₃	#62836	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×#3562	2
C₁₃×#3554	2
C₁₃×#3546	2
C₁₃×#3542	2
C₁₃×#3517	2
C₁₃×#3514	2
C₁₃×#3513	2
C₁₃×#3511	2
C₁₃×#3510	2
C₁₃×#3509	2
C₁₃×#3508	2
C₁₃×#3500	2
C₁₃×#3499	2
C₁₃×#3498	2
C₁₃×#3487	2
C₁₃×#3485	2
C₁₃×#3444	2
C₂×C₁₃×#532	2
#62836	13

Subgroups — C13×#62836 #15749175

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62836 #15749175