Subgroups — C₁₃×#62875 #15749214

Order 3328.

7138 conjugacy classes of subgroups.

The subgroup lattice has 1534 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3551	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3548	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3547	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3546	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3542	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3542	C₂	1	8	yes	maximal, complemented
7	C₁₃×#3541	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3539	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3536	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3535	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3534	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3494	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3492	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3489	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3488	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3449	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₃×#537	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
22	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
23	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
26	C₁₃×#563	C₂²	1	8	yes	complemented
27	C₁₃×#562	C₂²	1	8	yes	complemented
28	C₁₃×#562	C₂²	1	8	yes	complemented
29	C₁₃×#562	C₂²	1	8	yes	complemented
30	C₁₃×#562	C₂²	1	8	yes	complemented
31	C₁₃×#560	C₂²	1	8	yes	complemented
32	C₁₃×#560	C₂²	1	8	yes	complemented
33	C₁₃×#560	C₂²	1	8	yes	complemented
34	C₁₃×#556	C₂²	1	4	yes	complemented
35	C₁₃×#555	C₂²	1	8	yes	complemented
36	C₁₃×#555	C₂²	1	4	yes	complemented
37	C₁₃×#554	C₂²	1	8	yes	complemented
38	C₁₃×#554	C₂²	1	4	yes	complemented
39	C₁₃×#554	C₂²	1	4	yes	complemented
40	C₁₃×#554	C₂²	1	4	yes	complemented
41	C₁₃×#553	C₂²	1	8	yes	complemented
42	C₁₃×#553	C₂²	1	8	yes	complemented
43	C₁₃×#553	C₂²	1	4	yes	complemented
44	C₁₃×#553	C₂²	1	4	yes	complemented
45	C₁₃×#553	C₂²	1	4	yes	complemented
46	C₁₃×#553	C₂²	1	4	yes	complemented
47	C₁₃×#552	C₂²	1	8	yes	complemented
48	C₁₃×#552	C₂²	1	4	yes	complemented
49	C₁₃×#552	C₂²	1	4	yes	complemented
50	C₁₃×#552	C₂²	1	4	yes	complemented
51	C₁₃×#552	C₂²	1	4	yes	complemented
52	C₁₃×#551	C₂²	1	8	yes	complemented
53	C₁₃×#551	C₂²	1	8	yes	complemented
54	C₁₃×#551	C₂²	1	8	yes	complemented
55	C₁₃×#550	C₂²	1	4	yes	complemented
56	C₁₃×#550	C₂²	1	4	yes	complemented
57	C₁₃×#550	C₂²	1	8	yes	complemented
58	C₁₃×#550	C₂²	1	4	yes	complemented
59	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
60	C₁₃×#548	C₂²	1	4	yes	complemented
61	C₁₃×#548	C₂²	1	4	yes	complemented
62	C₁₃×#548	C₂²	1	4	yes	complemented
63	C₁₃×#548	C₂²	1	4	yes	complemented
64	C₁₃×#547	C₂²	1	8	yes	complemented
65	C₁₃×#547	C₂²	1	4	yes	complemented
66	C₁₃×#547	C₂²	1	4	yes	complemented
67	C₁₃×#547	C₂²	1	4	yes	complemented
68	C₁₃×#547	C₂²	1	4	yes	complemented
69	C₁₃×#547	C₂²	1	4	yes	complemented
70	C₁₃×#547	C₂²	1	4	yes	complemented
71	C₁₃×#546	C₂²	1	8	yes	complemented
72	C₁₃×#546	C₂²	1	8	yes	complemented
73	C₁₃×#546	C₂²	1	8	yes	complemented
74	C₁₃×#546	C₂²	1	8	yes	complemented
75	C₁₃×#546	C₂²	1	8	yes	complemented
76	C₁₃×#546	C₂²	1	4	yes	complemented
77	C₁₃×#546	C₂²	1	4	yes	complemented
78	C₁₃×#546	C₂²	1	4	yes	complemented
79	C₁₃×#546	C₂²	1	4	yes	complemented
80	D₄²×C₁₃	C₂²	1	8	yes	complemented
81	D₄²×C₁₃	C₂²	1	4	yes	complemented
82	C₁₃×#544	C₂²	1	4	yes	complemented
83	C₁₃×#544	C₂²	1	2	yes	complemented
84	C₁₃×#543	C₂²	1	4	yes	complemented
85	C₁₃×#542	C₂²	1	8	yes	complemented
86	C₁₃×#542	C₂²	1	4	yes	complemented
87	C₁₃×#542	C₂²	1	4	yes	complemented
88	C₁₃×#542	C₂²	1	8	yes	complemented
89	C₁₃×#541	C₂²	1	4	yes	complemented
90	C₁₃×#540	C₂²	1	8	yes	complemented
91	C₁₃×#540	C₂²	1	8	yes	complemented
92	C₁₃×#540	C₂²	1	8	yes	complemented
93	C₁₃×#540	C₂²	1	4	yes	complemented
94	C₁₃×#540	C₂²	1	8	yes	complemented
95	C₁₃×#539	C₂²	1	8	yes	complemented
96	C₁₃×#539	C₂²	1	4	yes	complemented
97	C₁₃×#539	C₂²	1	8	yes	complemented
98	C₁₃×#539	C₂²	1	4	yes	complemented
99	C₁₃×#538	C₂²	1	8	yes	complemented
100	C₁₃×#538	C₂²	1	4	yes	complemented
101	C₁₃×#538	C₂²	1	4	yes	complemented
102	C₁₃×#538	C₂²	1	8	yes	complemented
103	C₁₃×#538	C₂²	1	8	yes	complemented
104	C₁₃×#537	C₂²	1	2	yes	—
105	C₁₃×#537	C₂²	1	4	yes	complemented
106	C₁₃×#537	C₂²	1	2	yes	complemented
107	C₁₃×#537	C₂²	1	4	yes	complemented
108	C₁₃×#537	C₂²	1	8	yes	complemented
109	C₁₃×#537	C₂²	1	2	yes	complemented
110	C₁₃×#537	C₂²	1	4	yes	complemented
111	C₁₃×#537	C₂²	1	4	yes	complemented
112	C₁₃×#537	C₂²	1	4	yes	complemented
113	C₁₃×#537	C₂²	1	4	yes	complemented
114	C₁₃×#537	C₂²	1	2	yes	complemented
115	C₁₃×#537	C₂²	1	4	yes	complemented
116	C₁₃×#537	C₂²	1	2	yes	complemented
117	C₁₃×#536	C₂²	1	4	yes	complemented
118	C₁₃×#536	C₂²	1	2	yes	complemented
119	C₁₃×#536	C₂²	1	2	yes	complemented
120	C₁₃×#536	C₂²	1	4	yes	complemented
121	C₁₃×#536	C₂²	1	2	yes	complemented
122	C₁₃×#535	C₂²	1	8	yes	complemented
123	C₁₃×#535	C₂²	1	4	yes	complemented
124	C₁₃×#535	C₂²	1	2	yes	complemented
125	C₁₃×#535	C₂²	1	4	yes	complemented
126	C₁₃×#535	C₂²	1	2	yes	complemented
127	C₁₃×#535	C₂²	1	4	yes	complemented
128	C₁₃×#535	C₂²	1	2	yes	complemented
129	C₁₃×#534	C₂²	1	4	yes	complemented
130	C₁₃×#534	C₂²	1	4	yes	complemented
131	C₁₃×#534	C₂²	1	4	yes	complemented
132	C₁₃×#534	C₂²	1	4	yes	complemented
133	C₁₃×#533	C₂²	1	4	yes	complemented
134	C₁₃×#532	C₂²	1	4	yes	complemented
135	C₁₃×#532	C₂²	1	4	yes	complemented
136	C₁₃×#532	C₂²	1	4	yes	complemented
137	C₁₃×#529	C₂²	1	4	yes	complemented
138	C₁₃×#529	C₂²	1	4	yes	complemented
139	C₁₃×#525	C₂²	1	2	yes	—
140	C₁₃×#525	C₂²	1	4	yes	complemented
141	C₁₃×#525	C₂²	1	4	yes	complemented
142	C₁₃×#525	C₂²	1	4	yes	complemented
143	C₁₃×#525	C₂²	1	4	yes	complemented
144	C₁₃×#525	C₂²	1	4	yes	complemented
145	C₁₃×#525	C₂²	1	8	yes	complemented
146	C₁₃×#525	C₂²	1	2	yes	complemented
147	C₁₃×#525	C₂²	1	2	yes	complemented
148	C₁₃×#525	C₂²	1	2	yes	complemented
149	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
150	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
151	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
152	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
153	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
154	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
155	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
156	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
157	C₁₃×#520	C₂²	1	2	yes	complemented
158	C₁₃×#520	C₂²	1	2	yes	complemented
159	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
161	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
162	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×2₋¹⁺⁴	—	4	4	no	—
164	C₁₃×H(5,𝔽₂)	—	4	4	no	—
165	C₂×C₁₃×#41	—	4	4	no	—
166	C₂×C₁₃×#41	—	4	4	no	—
167	C₂×C₁₃×#41	—	4	8	no	—
168	C₂×C₁₃×#41	C₂³	1	2	yes	—
169	C₂×C₁₃×#41	C₂³	1	2	yes	—
170	C₂×C₁₃×#41	C₂³	1	2	yes	—
171	C₂×C₁₃×#41	C₂³	1	2	yes	—
172	C₂×C₁₃×#41	C₂³	1	4	yes	—
173	C₂×C₁₃×#41	C₂³	1	4	yes	—
174	C₂×C₁₃×#41	C₂³	1	4	yes	—
175	C₂×C₁₃×#41	C₂³	1	2	yes	—
176	C₂×C₁₃×#41	C₂³	1	4	yes	—
177	C₂×C₁₃×#41	C₂³	1	2	yes	—
178	C₂×C₁₃×#41	C₂³	1	4	yes	—
179	C₂×C₁₃×#41	C₂³	1	2	yes	—
180	C₂×C₁₃×#41	C₂³	1	4	yes	—
181	C₂×C₁₃×#41	C₂³	1	4	yes	—
182	C₂×C₁₃×#41	C₂³	1	2	yes	—
183	C₂×C₁₃×#41	C₂³	1	8	yes	—
184	C₂×C₁₃×#41	C₂³	1	8	yes	—
185	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
186	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
187	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
188	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
192	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
193	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
194	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
195	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
196	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
197	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
198	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
201	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
202	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
203	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
204	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
205	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
206	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
207	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
208	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
209	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
210	C₁₃×#127	C₂³	1	4	yes	—
211	C₁₃×#127	C₂³	1	4	yes	—
212	C₁₃×#127	C₂³	1	4	yes	—
213	C₁₃×#127	C₂³	1	8	yes	—
214	C₁₃×#127	C₂³	1	8	yes	—
215	C₁₃×#126	C₂³	1	8	yes	—
216	C₁₃×#126	C₂³	1	8	yes	—
217	C₁₃×#126	C₂³	1	8	yes	—
218	C₁₃×#126	C₂³	1	8	yes	—
219	C₁₃×#126	C₂³	1	8	yes	—
220	C₁₃×#126	C₂³	1	8	yes	—
221	C₁₃×#126	C₂³	1	8	yes	—
222	C₁₃×#126	C₂³	1	8	yes	—
223	C₁₃×#125	C₂³	1	4	yes	—
224	C₁₃×#125	C₂³	1	4	yes	—
225	C₁₃×#125	C₂³	1	8	yes	—
226	C₁₃×#125	C₂³	1	8	yes	—
227	C₁₃×#125	C₂³	1	8	yes	—
228	C₁₃×#125	C₂³	1	8	yes	—
229	C₁₃×#125	C₂³	1	8	yes	—
230	C₁₃×#124	C₂³	1	4	yes	—
231	C₁₃×#124	C₂³	1	4	yes	—
232	C₁₃×#124	C₂³	1	4	yes	—
233	C₁₃×#124	C₂³	1	4	yes	—
234	C₁₃×#124	C₂³	1	4	yes	—
235	C₁₃×#124	C₂³	1	4	yes	—
236	C₁₃×#124	C₂³	1	8	yes	—
237	C₁₃×#124	C₂³	1	8	yes	—
238	C₁₃×#124	C₂³	1	8	yes	—
239	C₁₃×#124	C₂³	1	8	yes	—
240	C₁₃×#124	C₂³	1	8	yes	—
241	C₁₃×#124	C₂³	1	8	yes	—
242	C₁₃×#123	C₂³	1	4	yes	—
243	C₁₃×#123	C₂³	1	8	yes	—
244	C₁₃×#123	C₂³	1	8	yes	—
245	C₁₃×#123	C₂³	1	8	yes	—
246	C₁₃×#123	C₂³	1	4	yes	—
247	C₁₃×#123	C₂³	1	4	yes	—
248	C₁₃×#123	C₂³	1	4	yes	—
249	C₁₃×#123	C₂³	1	4	yes	—
250	C₁₃×#123	C₂³	1	4	yes	—
251	C₁₃×#123	C₂³	1	4	yes	—
252	C₁₃×#123	C₂³	1	4	yes	—
253	C₁₃×#123	C₂³	1	8	yes	—
254	C₁₃×#123	C₂³	1	8	yes	—
255	C₁₃×#123	C₂³	1	8	yes	—
256	C₁₃×#123	C₂³	1	8	yes	—
257	C₁₃×#123	C₂³	1	8	yes	—
258	C₁₃×#123	C₂³	1	8	yes	—
259	C₁₃×#123	C₂³	1	8	yes	—
260	C₁₃×#123	C₂³	1	8	yes	—
261	C₁₃×#123	C₂³	1	8	yes	—
262	C₁₃×#123	C₂³	1	8	yes	—
263	C₁₃×#123	C₂³	1	8	yes	—
264	C₁₃×#123	C₂³	1	8	yes	—
265	C₁₃×#123	C₂³	1	8	yes	—
266	C₁₃×#123	C₂³	1	8	yes	—
267	C₁₃×#123	C₂³	1	8	yes	—
268	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
270	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
271	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
272	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
273	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
274	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
275	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
276	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
277	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
278	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
279	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
280	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
281	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
282	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
283	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
284	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
285	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
286	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
287	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
288	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
289	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
290	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
291	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
292	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
293	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
294	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
295	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
296	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
297	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
298	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
299	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
300	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
301	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
302	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
303	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
304	C₁₃×#121	C₂³	1	2	yes	—
305	C₁₃×#121	C₂³	1	4	yes	—
306	C₁₃×#121	C₂³	1	4	yes	—
307	C₁₃×#121	C₂³	1	4	yes	—
308	C₁₃×#121	C₂³	1	4	yes	—
309	C₁₃×#121	C₂³	1	8	yes	—
310	C₁₃×#121	C₂³	1	4	yes	—
311	C₁₃×#121	C₂³	1	8	yes	—
312	C₁₃×#121	C₂³	1	4	yes	—
313	C₁₃×#121	C₂³	1	4	yes	—
314	C₁₃×#121	C₂³	1	4	yes	—
315	C₁₃×#121	C₂³	1	8	yes	—
316	C₁₃×#121	C₂³	1	8	yes	—
317	C₁₃×#121	C₂³	1	8	yes	—
318	C₁₃×#121	C₂³	1	8	yes	—
319	C₁₃×#121	C₂³	1	8	yes	—
320	C₁₃×#121	C₂³	1	2	yes	—
321	C₁₃×#121	C₂³	1	2	yes	—
322	C₁₃×#121	C₂³	1	2	yes	—
323	C₁₃×#121	C₂³	1	4	yes	—
324	C₁₃×#121	C₂³	1	4	yes	—
325	C₁₃×#121	C₂³	1	4	yes	—
326	C₁₃×#121	C₂³	1	4	yes	—
327	C₁₃×#121	C₂³	1	2	yes	—
328	C₁₃×#121	C₂³	1	2	yes	—
329	C₁₃×#121	C₂³	1	4	yes	—
330	C₁₃×#121	C₂³	1	2	yes	—
331	C₁₃×#121	C₂³	1	2	yes	—
332	C₁₃×#121	C₂³	1	4	yes	—
333	C₁₃×#121	C₂³	1	8	yes	—
334	C₁₃×#121	C₂³	1	4	yes	—
335	C₁₃×#121	C₂³	1	8	yes	—
336	C₁₃×#121	C₂³	1	4	yes	—
337	C₁₃×#121	C₂³	1	4	yes	—
338	C₁₃×#121	C₂³	1	4	yes	—
339	C₁₃×#121	C₂³	1	4	yes	—
340	C₁₃×#121	C₂³	1	4	yes	—
341	C₁₃×#121	C₂³	1	4	yes	—
342	C₁₃×#121	C₂³	1	4	yes	—
343	C₁₃×#121	C₂³	1	4	yes	—
344	C₁₃×#121	C₂³	1	4	yes	—
345	C₁₃×#121	C₂³	1	8	yes	—
346	C₁₃×#121	C₂³	1	8	yes	—
347	C₁₃×#121	C₂³	1	8	yes	—
348	C₁₃×#121	C₂³	1	8	yes	—
349	C₁₃×#121	C₂³	1	8	yes	—
350	C₁₃×#121	C₂³	1	8	yes	—
351	C₁₃×#121	C₂³	1	8	yes	—
352	C₁₃×#121	C₂³	1	8	yes	—
353	C₁₃×#121	C₂³	1	8	yes	—
354	C₁₃×#121	C₂³	1	8	yes	—
355	C₁₃×#121	C₂³	1	8	yes	—
356	C₁₃×#121	C₂³	1	8	yes	—
357	C₁₃×#121	C₂³	1	8	yes	—
358	C₁₃×#120	C₂³	1	4	yes	—
359	C₁₃×#120	C₂³	1	4	yes	—
360	C₁₃×#120	C₂³	1	4	yes	—
361	C₁₃×#120	C₂³	1	4	yes	—
362	C₁₃×#120	C₂³	1	4	yes	—
363	C₁₃×#120	C₂³	1	4	yes	—
364	C₁₃×#120	C₂³	1	4	yes	—
365	C₁₃×#120	C₂³	1	8	yes	—
366	C₁₃×#120	C₂³	1	4	yes	—
367	C₁₃×#120	C₂³	1	8	yes	—
368	C₁₃×#120	C₂³	1	8	yes	—
369	C₁₃×#120	C₂³	1	8	yes	—
370	C₁₃×#120	C₂³	1	8	yes	—
371	C₁₃×#120	C₂³	1	8	yes	—
372	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
373	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
374	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
375	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
376	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
377	C₄×D₄×C₁₃	C₂³	1	4	yes	—
378	C₄×D₄×C₁₃	C₂³	1	4	yes	—
379	C₄×D₄×C₁₃	C₂³	1	8	yes	—
380	C₄×D₄×C₁₃	C₂³	1	8	yes	—
381	C₄×D₄×C₁₃	C₂³	1	4	yes	—
382	C₄×D₄×C₁₃	C₂³	1	4	yes	—
383	C₄×D₄×C₁₃	C₂³	1	4	yes	—
384	C₄×D₄×C₁₃	C₂³	1	4	yes	—
385	C₄×D₄×C₁₃	C₂³	1	4	yes	—
386	C₄×D₄×C₁₃	C₂³	1	4	yes	—
387	C₄×D₄×C₁₃	C₂³	1	4	yes	—
388	C₄×D₄×C₁₃	C₂³	1	4	yes	—
389	C₄×D₄×C₁₃	C₂³	1	4	yes	—
390	C₄×D₄×C₁₃	C₂³	1	4	yes	—
391	C₄×D₄×C₁₃	C₂³	1	8	yes	—
392	C₄×D₄×C₁₃	C₂³	1	8	yes	—
393	C₄×D₄×C₁₃	C₂³	1	8	yes	—
394	C₄×D₄×C₁₃	C₂³	1	8	yes	—
395	C₄×D₄×C₁₃	C₂³	1	8	yes	—
396	C₄×D₄×C₁₃	C₂³	1	8	yes	—
397	C₄×D₄×C₁₃	C₂³	1	8	yes	—
398	C₄×D₄×C₁₃	C₂³	1	8	yes	—
399	C₄×D₄×C₁₃	C₂³	1	8	yes	—
400	C₄×D₄×C₁₃	C₂³	1	8	yes	—
401	C₄×D₄×C₁₃	C₂³	1	8	yes	—
402	C₁₃×#117	C₂³	1	2	yes	—
403	C₁₃×#117	C₂³	1	2	yes	—
404	C₁₃×#117	C₂³	1	4	yes	—
405	C₁₃×#117	C₂³	1	4	yes	—
406	C₁₃×#117	C₂³	1	2	yes	—
407	C₁₃×#117	C₂³	1	2	yes	—
408	C₁₃×#117	C₂³	1	4	yes	—
409	C₁₃×#117	C₂³	1	4	yes	—
410	C₁₃×#117	C₂³	1	4	yes	—
411	C₁₃×#117	C₂³	1	8	yes	—
412	C₁₃×#117	C₂³	1	8	yes	—
413	C₁₃×#117	C₂³	1	8	yes	—
414	C₁₃×#117	C₂³	1	8	yes	—
415	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
416	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
417	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
418	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
419	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
420	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
421	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
422	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
423	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
424	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
425	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
426	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
427	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
428	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
429	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
430	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
431	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
432	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
433	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
434	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
435	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
436	#62875	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
437	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
438	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
439	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
441	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
442	C₁₃×#41	—	2	8	no	—
443	C₁₃×#41	—	2	8	no	—
444	C₁₃×#41	—	4	4	no	—
445	C₁₃×#41	—	4	4	no	—
446	C₁₃×#41	—	4	4	no	—
447	C₁₃×#41	—	4	4	no	—
448	C₁₃×#41	—	4	8	no	—
449	C₁₃×#41	—	4	8	no	—
450	C₁₃×#41	—	4	8	no	—
451	C₁₃×#41	—	4	8	no	—
452	C₁₃×#41	—	4	8	no	—
453	C₁₃×#41	—	4	4	no	—
454	C₁₃×#41	—	4	4	no	—
455	C₁₃×#41	—	4	8	no	—
456	C₁₃×#41	—	4	8	no	—
457	C₁₃×#41	—	8	8	no	—
458	C₁₃×#41	—	8	8	no	—
459	C₂×Q₈×C₁₃	—	2	4	no	—
460	C₂×Q₈×C₁₃	—	4	2	no	—
461	C₂×Q₈×C₁₃	—	4	4	no	—
462	C₂×Q₈×C₁₃	—	4	8	no	—
463	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
464	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
465	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
466	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
467	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
468	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
469	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
470	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
472	C₂×D₄×C₁₃	—	2	4	no	—
473	C₂×D₄×C₁₃	—	4	4	no	—
474	C₂×D₄×C₁₃	—	4	8	no	—
475	C₂×D₄×C₁₃	—	4	2	no	—
476	C₂×D₄×C₁₃	—	4	4	no	—
477	C₂×D₄×C₁₃	—	4	4	no	—
478	C₂×D₄×C₁₃	—	4	8	no	—
479	C₂×D₄×C₁₃	—	4	8	no	—
480	C₂×D₄×C₁₃	—	8	4	no	—
481	C₂×D₄×C₁₃	—	8	8	no	—
482	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
483	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
484	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
485	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
486	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
487	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
488	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
489	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
490	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
491	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
492	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
493	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
494	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
495	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
496	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
497	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
498	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
499	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
500	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
502	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
503	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
504	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
505	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
506	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
507	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
508	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
509	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
510	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
512	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
513	C₂²×C₄×C₁₃	—	2	4	no	—
514	C₂²×C₄×C₁₃	—	2	8	no	—
515	C₂²×C₄×C₁₃	—	4	8	no	—
516	C₂²×C₄×C₁₃	—	4	4	no	—
517	C₂²×C₄×C₁₃	—	8	2	no	—
518	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
519	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
520	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
521	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
522	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
523	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
524	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
526	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
527	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
528	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
529	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
530	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
531	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
532	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
533	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
534	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
535	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
536	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
537	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
538	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
539	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
540	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
541	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
542	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
543	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
546	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
547	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
548	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
549	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
550	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
551	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
552	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
553	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
554	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
555	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
556	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
557	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
558	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
559	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
560	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
561	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
562	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
563	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
564	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
565	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
566	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
567	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
568	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
569	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
570	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
571	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
572	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
573	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
574	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
575	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
576	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
577	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
578	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
579	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
580	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
581	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
582	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
583	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
584	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
585	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
586	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
587	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
588	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
589	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
590	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
591	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
592	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
593	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
594	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
595	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
596	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
597	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
598	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
599	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
600	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
601	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
602	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
603	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
605	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
606	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
607	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
608	C₄²×C₁₃	C₂⁴	1	4	yes	—
609	C₄²×C₁₃	C₂⁴	1	4	yes	—
610	C₄²×C₁₃	C₂⁴	1	4	yes	—
611	C₄²×C₁₃	C₂⁴	1	4	yes	—
612	C₄²×C₁₃	C₂⁴	1	8	yes	—
613	C₄²×C₁₃	C₂⁴	1	8	yes	—
614	C₄²×C₁₃	C₂⁴	1	8	yes	—
615	#3551	C₂×C₁₃	1	4	yes	complemented
616	#3548	C₂×C₁₃	1	4	yes	complemented
617	#3547	C₂×C₁₃	1	4	yes	complemented
618	#3546	C₂×C₁₃	1	4	yes	complemented
619	#3542	C₂×C₁₃	1	8	yes	complemented
620	#3542	C₂×C₁₃	1	4	yes	complemented
621	#3541	C₂×C₁₃	1	4	yes	complemented
622	#3539	C₂×C₁₃	1	4	yes	complemented
623	#3536	C₂×C₁₃	1	4	yes	complemented
624	#3535	C₂×C₁₃	1	4	yes	complemented
625	#3534	C₂×C₁₃	1	4	yes	complemented
626	#3495	C₂×C₁₃	1	2	yes	complemented
627	#3494	C₂×C₁₃	1	2	yes	complemented
628	#3492	C₂×C₁₃	1	2	yes	complemented
629	#3489	C₂×C₁₃	1	2	yes	complemented
630	#3488	C₂×C₁₃	1	2	yes	complemented
631	#3487	C₂×C₁₃	1	1	yes	characteristic, complemented
632	#3485	C₂×C₁₃	1	1	yes	characteristic, complemented
633	#3449	C₂×C₁₃	1	2	yes	complemented
634	C₂×#537	C₂×C₁₃	1	1	yes	characteristic, complemented
635	C₂³×C₁₃	—	2	2	no	—
636	C₂³×C₁₃	—	2	4	no	—
637	C₂³×C₁₃	—	2	4	no	—
638	C₂³×C₁₃	—	4	1	no	—
639	C₂³×C₁₃	—	4	1	no	—
640	C₂³×C₁₃	—	4	4	no	—
641	C₂³×C₁₃	—	4	2	no	—
642	C₂³×C₁₃	—	4	2	no	—
643	C₂³×C₁₃	—	4	4	no	—
644	C₂³×C₁₃	—	4	2	no	—
645	C₂³×C₁₃	—	4	2	no	—
646	C₂³×C₁₃	—	4	4	no	—
647	C₂³×C₁₃	—	4	4	no	—
648	C₂³×C₁₃	—	4	4	no	—
649	C₂³×C₁₃	—	4	4	no	—
650	C₂³×C₁₃	C₂⁵	1	2	yes	—
651	C₂³×C₁₃	C₂⁵	1	4	yes	—
652	C₂³×C₁₃	C₂⁵	1	4	yes	—
653	C₂³×C₁₃	C₂⁵	1	2	yes	—
654	C₂³×C₁₃	C₂⁵	1	2	yes	—
655	C₂³×C₁₃	C₂⁵	1	4	yes	—
656	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
657	Q₈×C₁₃	—	2	8	no	—
658	Q₈×C₁₃	—	2	4	no	—
659	Q₈×C₁₃	—	2	4	no	—
660	Q₈×C₁₃	—	4	4	no	—
661	Q₈×C₁₃	—	4	1	no	—
662	Q₈×C₁₃	—	4	2	no	—
663	Q₈×C₁₃	—	4	1	no	—
664	Q₈×C₁₃	—	4	4	no	—
665	Q₈×C₁₃	—	4	8	no	—
666	D₄×C₁₃	—	2	8	no	—
667	D₄×C₁₃	—	2	8	no	—
668	D₄×C₁₃	—	2	8	no	—
669	D₄×C₁₃	—	2	4	no	—
670	D₄×C₁₃	—	2	4	no	—
671	D₄×C₁₃	—	4	8	no	—
672	D₄×C₁₃	—	4	1	no	—
673	D₄×C₁₃	—	4	2	no	—
674	D₄×C₁₃	—	4	2	no	—
675	D₄×C₁₃	—	4	1	no	—
676	D₄×C₁₃	—	4	2	no	—
677	D₄×C₁₃	—	4	2	no	—
678	D₄×C₁₃	—	4	2	no	—
679	D₄×C₁₃	—	4	4	no	—
680	D₄×C₁₃	—	4	4	no	—
681	D₄×C₁₃	—	4	4	no	—
682	D₄×C₁₃	—	4	8	no	—
683	D₄×C₁₃	—	4	8	no	—
684	D₄×C₁₃	—	4	4	no	—
685	D₄×C₁₃	—	4	8	no	—
686	D₄×C₁₃	—	4	8	no	—
687	D₄×C₁₃	—	4	8	no	—
688	D₄×C₁₃	—	4	4	no	—
689	D₄×C₁₃	—	4	4	no	—
690	D₄×C₁₃	—	4	4	no	—
691	D₄×C₁₃	—	4	8	no	—
692	D₄×C₁₃	—	4	4	no	—
693	D₄×C₁₃	—	4	4	no	—
694	D₄×C₁₃	—	4	4	no	—
695	D₄×C₁₃	—	4	4	no	—
696	D₄×C₁₃	—	4	4	no	—
697	C₂×C₄×C₁₃	—	2	2	no	—
698	C₂×C₄×C₁₃	—	2	4	no	—
699	C₂×C₄×C₁₃	—	2	4	no	—
700	C₂×C₄×C₁₃	—	2	4	no	—
701	C₂×C₄×C₁₃	—	2	4	no	—
702	C₂×C₄×C₁₃	—	2	4	no	—
703	C₂×C₄×C₁₃	—	2	4	no	—
704	C₂×C₄×C₁₃	—	2	4	no	—
705	C₂×C₄×C₁₃	—	2	4	no	—
706	C₂×C₄×C₁₃	—	2	8	no	—
707	C₂×C₄×C₁₃	—	2	8	no	—
708	C₂×C₄×C₁₃	—	4	4	no	—
709	C₂×C₄×C₁₃	—	4	4	no	—
710	C₂×C₄×C₁₃	—	4	4	no	—
711	C₂×C₄×C₁₃	—	4	4	no	—
712	C₂×C₄×C₁₃	—	4	4	no	—
713	C₂×C₄×C₁₃	—	4	4	no	—
714	C₂×C₄×C₁₃	—	4	8	no	—
715	C₂×C₄×C₁₃	—	4	4	no	—
716	C₂×C₄×C₁₃	—	4	4	no	—
717	C₂×C₄×C₁₃	—	4	4	no	—
718	C₂×C₄×C₁₃	—	4	8	no	—
719	C₂×C₄×C₁₃	—	4	8	no	—
720	C₂×C₄×C₁₃	—	4	8	no	—
721	C₂×C₄×C₁₃	—	4	4	no	—
722	C₂×C₄×C₁₃	—	4	4	no	—
723	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
724	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
725	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
726	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
727	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
728	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
729	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
730	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
731	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
732	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
733	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
734	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
735	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
736	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
737	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
739	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
741	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
742	#563	C₂²×C₁₃	1	8	yes	complemented
743	#562	C₂²×C₁₃	1	8	yes	complemented
744	#562	C₂²×C₁₃	1	8	yes	complemented
745	#562	C₂²×C₁₃	1	8	yes	complemented
746	#562	C₂²×C₁₃	1	8	yes	complemented
747	#560	C₂²×C₁₃	1	8	yes	complemented
748	#560	C₂²×C₁₃	1	8	yes	complemented
749	#560	C₂²×C₁₃	1	8	yes	complemented
750	#556	C₂²×C₁₃	1	4	yes	complemented
751	#555	C₂²×C₁₃	1	4	yes	complemented
752	#555	C₂²×C₁₃	1	8	yes	complemented
753	#554	C₂²×C₁₃	1	4	yes	complemented
754	#554	C₂²×C₁₃	1	4	yes	complemented
755	#554	C₂²×C₁₃	1	4	yes	complemented
756	#554	C₂²×C₁₃	1	8	yes	complemented
757	#553	C₂²×C₁₃	1	4	yes	complemented
758	#553	C₂²×C₁₃	1	4	yes	complemented
759	#553	C₂²×C₁₃	1	4	yes	complemented
760	#553	C₂²×C₁₃	1	4	yes	complemented
761	#553	C₂²×C₁₃	1	8	yes	complemented
762	#553	C₂²×C₁₃	1	8	yes	complemented
763	#552	C₂²×C₁₃	1	4	yes	complemented
764	#552	C₂²×C₁₃	1	4	yes	complemented
765	#552	C₂²×C₁₃	1	8	yes	complemented
766	#552	C₂²×C₁₃	1	4	yes	complemented
767	#552	C₂²×C₁₃	1	4	yes	complemented
768	#551	C₂²×C₁₃	1	8	yes	complemented
769	#551	C₂²×C₁₃	1	8	yes	complemented
770	#551	C₂²×C₁₃	1	8	yes	complemented
771	#550	C₂²×C₁₃	1	4	yes	complemented
772	#550	C₂²×C₁₃	1	4	yes	complemented
773	#550	C₂²×C₁₃	1	4	yes	complemented
774	#550	C₂²×C₁₃	1	8	yes	complemented
775	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
776	#548	C₂²×C₁₃	1	4	yes	complemented
777	#548	C₂²×C₁₃	1	4	yes	complemented
778	#548	C₂²×C₁₃	1	4	yes	complemented
779	#548	C₂²×C₁₃	1	4	yes	complemented
780	#547	C₂²×C₁₃	1	4	yes	complemented
781	#547	C₂²×C₁₃	1	4	yes	complemented
782	#547	C₂²×C₁₃	1	8	yes	complemented
783	#547	C₂²×C₁₃	1	4	yes	complemented
784	#547	C₂²×C₁₃	1	4	yes	complemented
785	#547	C₂²×C₁₃	1	4	yes	complemented
786	#547	C₂²×C₁₃	1	4	yes	complemented
787	#546	C₂²×C₁₃	1	4	yes	complemented
788	#546	C₂²×C₁₃	1	4	yes	complemented
789	#546	C₂²×C₁₃	1	8	yes	complemented
790	#546	C₂²×C₁₃	1	4	yes	complemented
791	#546	C₂²×C₁₃	1	8	yes	complemented
792	#546	C₂²×C₁₃	1	4	yes	complemented
793	#546	C₂²×C₁₃	1	8	yes	complemented
794	#546	C₂²×C₁₃	1	8	yes	complemented
795	#546	C₂²×C₁₃	1	8	yes	complemented
796	D₄²	C₂²×C₁₃	1	8	yes	complemented
797	D₄²	C₂²×C₁₃	1	4	yes	complemented
798	#544	C₂²×C₁₃	1	2	yes	complemented
799	#544	C₂²×C₁₃	1	4	yes	complemented
800	#543	C₂²×C₁₃	1	4	yes	complemented
801	#542	C₂²×C₁₃	1	4	yes	complemented
802	#542	C₂²×C₁₃	1	4	yes	complemented
803	#542	C₂²×C₁₃	1	8	yes	complemented
804	#542	C₂²×C₁₃	1	8	yes	complemented
805	#541	C₂²×C₁₃	1	4	yes	complemented
806	#540	C₂²×C₁₃	1	4	yes	complemented
807	#540	C₂²×C₁₃	1	8	yes	complemented
808	#540	C₂²×C₁₃	1	8	yes	complemented
809	#540	C₂²×C₁₃	1	8	yes	complemented
810	#540	C₂²×C₁₃	1	8	yes	complemented
811	#539	C₂²×C₁₃	1	8	yes	complemented
812	#539	C₂²×C₁₃	1	4	yes	complemented
813	#539	C₂²×C₁₃	1	8	yes	complemented
814	#539	C₂²×C₁₃	1	4	yes	complemented
815	#538	C₂²×C₁₃	1	8	yes	complemented
816	#538	C₂²×C₁₃	1	4	yes	complemented
817	#538	C₂²×C₁₃	1	4	yes	complemented
818	#538	C₂²×C₁₃	1	8	yes	complemented
819	#538	C₂²×C₁₃	1	8	yes	complemented
820	#537	C₂²×C₁₃	1	2	yes	—
821	#537	C₂²×C₁₃	1	4	yes	complemented
822	#537	C₂²×C₁₃	1	4	yes	complemented
823	#537	C₂²×C₁₃	1	4	yes	complemented
824	#537	C₂²×C₁₃	1	4	yes	complemented
825	#537	C₂²×C₁₃	1	2	yes	complemented
826	#537	C₂²×C₁₃	1	2	yes	complemented
827	#537	C₂²×C₁₃	1	2	yes	complemented
828	#537	C₂²×C₁₃	1	2	yes	complemented
829	#537	C₂²×C₁₃	1	4	yes	complemented
830	#537	C₂²×C₁₃	1	4	yes	complemented
831	#537	C₂²×C₁₃	1	4	yes	complemented
832	#537	C₂²×C₁₃	1	8	yes	complemented
833	#536	C₂²×C₁₃	1	4	yes	complemented
834	#536	C₂²×C₁₃	1	2	yes	complemented
835	#536	C₂²×C₁₃	1	2	yes	complemented
836	#536	C₂²×C₁₃	1	2	yes	complemented
837	#536	C₂²×C₁₃	1	4	yes	complemented
838	#535	C₂²×C₁₃	1	4	yes	complemented
839	#535	C₂²×C₁₃	1	2	yes	complemented
840	#535	C₂²×C₁₃	1	2	yes	complemented
841	#535	C₂²×C₁₃	1	2	yes	complemented
842	#535	C₂²×C₁₃	1	4	yes	complemented
843	#535	C₂²×C₁₃	1	4	yes	complemented
844	#535	C₂²×C₁₃	1	8	yes	complemented
845	#534	C₂²×C₁₃	1	4	yes	complemented
846	#534	C₂²×C₁₃	1	4	yes	complemented
847	#534	C₂²×C₁₃	1	4	yes	complemented
848	#534	C₂²×C₁₃	1	4	yes	complemented
849	#533	C₂²×C₁₃	1	4	yes	complemented
850	#532	C₂²×C₁₃	1	4	yes	complemented
851	#532	C₂²×C₁₃	1	4	yes	complemented
852	#532	C₂²×C₁₃	1	4	yes	complemented
853	#529	C₂²×C₁₃	1	4	yes	complemented
854	#529	C₂²×C₁₃	1	4	yes	complemented
855	#525	C₂²×C₁₃	1	2	yes	—
856	#525	C₂²×C₁₃	1	2	yes	complemented
857	#525	C₂²×C₁₃	1	2	yes	complemented
858	#525	C₂²×C₁₃	1	2	yes	complemented
859	#525	C₂²×C₁₃	1	4	yes	complemented
860	#525	C₂²×C₁₃	1	4	yes	complemented
861	#525	C₂²×C₁₃	1	4	yes	complemented
862	#525	C₂²×C₁₃	1	4	yes	complemented
863	#525	C₂²×C₁₃	1	4	yes	complemented
864	#525	C₂²×C₁₃	1	8	yes	complemented
865	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
866	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
867	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
868	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
869	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
870	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
871	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
872	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
873	#520	C₂²×C₁₃	1	2	yes	complemented
874	#520	C₂²×C₁₃	1	2	yes	complemented
875	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
876	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
878	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
879	C₂²×C₁₃	—	2	1	no	—
880	C₂²×C₁₃	—	2	1	no	—
881	C₂²×C₁₃	—	2	2	no	—
882	C₂²×C₁₃	—	2	2	no	—
883	C₂²×C₁₃	—	2	2	no	—
884	C₂²×C₁₃	—	2	4	no	—
885	C₂²×C₁₃	—	2	4	no	—
886	C₂²×C₁₃	—	2	4	no	—
887	C₂²×C₁₃	—	2	2	no	—
888	C₂²×C₁₃	—	2	2	no	—
889	C₂²×C₁₃	—	2	4	no	—
890	C₂²×C₁₃	—	2	4	no	—
891	C₂²×C₁₃	—	2	4	no	—
892	C₂²×C₁₃	—	2	2	no	—
893	C₂²×C₁₃	—	2	2	no	—
894	C₂²×C₁₃	—	2	4	no	—
895	C₂²×C₁₃	—	2	2	no	—
896	C₂²×C₁₃	—	2	4	no	—
897	C₂²×C₁₃	—	2	2	no	—
898	C₂²×C₁₃	—	2	4	no	—
899	C₂²×C₁₃	—	4	4	no	—
900	C₂²×C₁₃	—	8	4	no	—
901	C₂²×C₁₃	—	8	4	no	—
902	C₂²×C₁₃	—	8	8	no	—
903	C₂²×C₁₃	—	16	4	no	—
904	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
905	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
906	C₄×C₁₃	—	2	1	no	—
907	C₄×C₁₃	—	2	1	no	—
908	C₄×C₁₃	—	2	2	no	—
909	C₄×C₁₃	—	2	2	no	—
910	C₄×C₁₃	—	2	4	no	—
911	C₄×C₁₃	—	2	4	no	—
912	C₄×C₁₃	—	2	4	no	—
913	C₄×C₁₃	—	2	8	no	—
914	C₄×C₁₃	—	2	4	no	—
915	C₄×C₁₃	—	2	4	no	—
916	C₄×C₁₃	—	2	4	no	—
917	C₄×C₁₃	—	2	4	no	—
918	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
919	2₋¹⁺⁴	—	4	4	no	—
920	H(5,𝔽₂)	—	4	4	no	—
921	C₂×#41	—	4	4	no	—
922	C₂×#41	—	4	4	no	—
923	C₂×#41	—	4	8	no	—
924	C₂×#41	C₂³×C₁₃	1	2	yes	—
925	C₂×#41	C₂³×C₁₃	1	2	yes	—
926	C₂×#41	C₂³×C₁₃	1	2	yes	—
927	C₂×#41	C₂³×C₁₃	1	2	yes	—
928	C₂×#41	C₂³×C₁₃	1	4	yes	—
929	C₂×#41	C₂³×C₁₃	1	4	yes	—
930	C₂×#41	C₂³×C₁₃	1	4	yes	—
931	C₂×#41	C₂³×C₁₃	1	2	yes	—
932	C₂×#41	C₂³×C₁₃	1	4	yes	—
933	C₂×#41	C₂³×C₁₃	1	2	yes	—
934	C₂×#41	C₂³×C₁₃	1	4	yes	—
935	C₂×#41	C₂³×C₁₃	1	2	yes	—
936	C₂×#41	C₂³×C₁₃	1	4	yes	—
937	C₂×#41	C₂³×C₁₃	1	4	yes	—
938	C₂×#41	C₂³×C₁₃	1	2	yes	—
939	C₂×#41	C₂³×C₁₃	1	8	yes	—
940	C₂×#41	C₂³×C₁₃	1	8	yes	—
941	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
942	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
943	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
944	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
945	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
946	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
947	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
948	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
949	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
950	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
951	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
952	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
953	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
954	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
955	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
956	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
957	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
958	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
959	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
960	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
961	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
962	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
963	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
964	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
965	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
966	#127	C₂³×C₁₃	1	4	yes	—
967	#127	C₂³×C₁₃	1	4	yes	—
968	#127	C₂³×C₁₃	1	4	yes	—
969	#127	C₂³×C₁₃	1	8	yes	—
970	#127	C₂³×C₁₃	1	8	yes	—
971	#126	C₂³×C₁₃	1	8	yes	—
972	#126	C₂³×C₁₃	1	8	yes	—
973	#126	C₂³×C₁₃	1	8	yes	—
974	#126	C₂³×C₁₃	1	8	yes	—
975	#126	C₂³×C₁₃	1	8	yes	—
976	#126	C₂³×C₁₃	1	8	yes	—
977	#126	C₂³×C₁₃	1	8	yes	—
978	#126	C₂³×C₁₃	1	8	yes	—
979	#125	C₂³×C₁₃	1	4	yes	—
980	#125	C₂³×C₁₃	1	4	yes	—
981	#125	C₂³×C₁₃	1	8	yes	—
982	#125	C₂³×C₁₃	1	8	yes	—
983	#125	C₂³×C₁₃	1	8	yes	—
984	#125	C₂³×C₁₃	1	8	yes	—
985	#125	C₂³×C₁₃	1	8	yes	—
986	#124	C₂³×C₁₃	1	4	yes	—
987	#124	C₂³×C₁₃	1	4	yes	—
988	#124	C₂³×C₁₃	1	4	yes	—
989	#124	C₂³×C₁₃	1	4	yes	—
990	#124	C₂³×C₁₃	1	4	yes	—
991	#124	C₂³×C₁₃	1	4	yes	—
992	#124	C₂³×C₁₃	1	8	yes	—
993	#124	C₂³×C₁₃	1	8	yes	—
994	#124	C₂³×C₁₃	1	8	yes	—
995	#124	C₂³×C₁₃	1	8	yes	—
996	#124	C₂³×C₁₃	1	8	yes	—
997	#124	C₂³×C₁₃	1	8	yes	—
998	#123	C₂³×C₁₃	1	4	yes	—
999	#123	C₂³×C₁₃	1	8	yes	—
1000	#123	C₂³×C₁₃	1	8	yes	—
1001	#123	C₂³×C₁₃	1	8	yes	—
1002	#123	C₂³×C₁₃	1	4	yes	—
1003	#123	C₂³×C₁₃	1	4	yes	—
1004	#123	C₂³×C₁₃	1	4	yes	—
1005	#123	C₂³×C₁₃	1	4	yes	—
1006	#123	C₂³×C₁₃	1	4	yes	—
1007	#123	C₂³×C₁₃	1	4	yes	—
1008	#123	C₂³×C₁₃	1	4	yes	—
1009	#123	C₂³×C₁₃	1	8	yes	—
1010	#123	C₂³×C₁₃	1	8	yes	—
1011	#123	C₂³×C₁₃	1	8	yes	—
1012	#123	C₂³×C₁₃	1	8	yes	—
1013	#123	C₂³×C₁₃	1	8	yes	—
1014	#123	C₂³×C₁₃	1	8	yes	—
1015	#123	C₂³×C₁₃	1	8	yes	—
1016	#123	C₂³×C₁₃	1	8	yes	—
1017	#123	C₂³×C₁₃	1	8	yes	—
1018	#123	C₂³×C₁₃	1	8	yes	—
1019	#123	C₂³×C₁₃	1	8	yes	—
1020	#123	C₂³×C₁₃	1	8	yes	—
1021	#123	C₂³×C₁₃	1	8	yes	—
1022	#123	C₂³×C₁₃	1	8	yes	—
1023	#123	C₂³×C₁₃	1	8	yes	—
1024	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1025	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1026	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1027	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1028	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1029	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1030	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1031	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1032	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1033	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1034	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1035	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1036	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1037	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1038	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1039	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1040	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1041	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1042	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1043	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1044	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1045	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1046	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1047	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1048	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1049	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1050	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1051	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1052	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1053	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1054	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1055	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1056	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1057	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1058	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1059	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1060	#121	C₂³×C₁₃	1	2	yes	—
1061	#121	C₂³×C₁₃	1	4	yes	—
1062	#121	C₂³×C₁₃	1	4	yes	—
1063	#121	C₂³×C₁₃	1	4	yes	—
1064	#121	C₂³×C₁₃	1	4	yes	—
1065	#121	C₂³×C₁₃	1	8	yes	—
1066	#121	C₂³×C₁₃	1	4	yes	—
1067	#121	C₂³×C₁₃	1	8	yes	—
1068	#121	C₂³×C₁₃	1	4	yes	—
1069	#121	C₂³×C₁₃	1	4	yes	—
1070	#121	C₂³×C₁₃	1	4	yes	—
1071	#121	C₂³×C₁₃	1	8	yes	—
1072	#121	C₂³×C₁₃	1	8	yes	—
1073	#121	C₂³×C₁₃	1	8	yes	—
1074	#121	C₂³×C₁₃	1	8	yes	—
1075	#121	C₂³×C₁₃	1	8	yes	—
1076	#121	C₂³×C₁₃	1	2	yes	—
1077	#121	C₂³×C₁₃	1	2	yes	—
1078	#121	C₂³×C₁₃	1	2	yes	—
1079	#121	C₂³×C₁₃	1	4	yes	—
1080	#121	C₂³×C₁₃	1	4	yes	—
1081	#121	C₂³×C₁₃	1	4	yes	—
1082	#121	C₂³×C₁₃	1	4	yes	—
1083	#121	C₂³×C₁₃	1	2	yes	—
1084	#121	C₂³×C₁₃	1	2	yes	—
1085	#121	C₂³×C₁₃	1	4	yes	—
1086	#121	C₂³×C₁₃	1	2	yes	—
1087	#121	C₂³×C₁₃	1	2	yes	—
1088	#121	C₂³×C₁₃	1	4	yes	—
1089	#121	C₂³×C₁₃	1	8	yes	—
1090	#121	C₂³×C₁₃	1	4	yes	—
1091	#121	C₂³×C₁₃	1	8	yes	—
1092	#121	C₂³×C₁₃	1	4	yes	—
1093	#121	C₂³×C₁₃	1	4	yes	—
1094	#121	C₂³×C₁₃	1	4	yes	—
1095	#121	C₂³×C₁₃	1	4	yes	—
1096	#121	C₂³×C₁₃	1	4	yes	—
1097	#121	C₂³×C₁₃	1	4	yes	—
1098	#121	C₂³×C₁₃	1	4	yes	—
1099	#121	C₂³×C₁₃	1	4	yes	—
1100	#121	C₂³×C₁₃	1	4	yes	—
1101	#121	C₂³×C₁₃	1	8	yes	—
1102	#121	C₂³×C₁₃	1	8	yes	—
1103	#121	C₂³×C₁₃	1	8	yes	—
1104	#121	C₂³×C₁₃	1	8	yes	—
1105	#121	C₂³×C₁₃	1	8	yes	—
1106	#121	C₂³×C₁₃	1	8	yes	—
1107	#121	C₂³×C₁₃	1	8	yes	—
1108	#121	C₂³×C₁₃	1	8	yes	—
1109	#121	C₂³×C₁₃	1	8	yes	—
1110	#121	C₂³×C₁₃	1	8	yes	—
1111	#121	C₂³×C₁₃	1	8	yes	—
1112	#121	C₂³×C₁₃	1	8	yes	—
1113	#121	C₂³×C₁₃	1	8	yes	—
1114	#120	C₂³×C₁₃	1	4	yes	—
1115	#120	C₂³×C₁₃	1	4	yes	—
1116	#120	C₂³×C₁₃	1	4	yes	—
1117	#120	C₂³×C₁₃	1	4	yes	—
1118	#120	C₂³×C₁₃	1	4	yes	—
1119	#120	C₂³×C₁₃	1	4	yes	—
1120	#120	C₂³×C₁₃	1	4	yes	—
1121	#120	C₂³×C₁₃	1	8	yes	—
1122	#120	C₂³×C₁₃	1	4	yes	—
1123	#120	C₂³×C₁₃	1	8	yes	—
1124	#120	C₂³×C₁₃	1	8	yes	—
1125	#120	C₂³×C₁₃	1	8	yes	—
1126	#120	C₂³×C₁₃	1	8	yes	—
1127	#120	C₂³×C₁₃	1	8	yes	—
1128	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1129	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1130	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1131	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1132	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1133	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1134	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1135	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1136	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1137	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1138	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1139	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1140	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1141	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1142	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1143	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1144	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1145	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1146	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1147	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1148	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1149	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1150	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1151	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1152	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1153	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1154	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1155	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1156	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1157	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1158	#117	C₂³×C₁₃	1	2	yes	—
1159	#117	C₂³×C₁₃	1	2	yes	—
1160	#117	C₂³×C₁₃	1	4	yes	—
1161	#117	C₂³×C₁₃	1	4	yes	—
1162	#117	C₂³×C₁₃	1	2	yes	—
1163	#117	C₂³×C₁₃	1	2	yes	—
1164	#117	C₂³×C₁₃	1	4	yes	—
1165	#117	C₂³×C₁₃	1	4	yes	—
1166	#117	C₂³×C₁₃	1	4	yes	—
1167	#117	C₂³×C₁₃	1	8	yes	—
1168	#117	C₂³×C₁₃	1	8	yes	—
1169	#117	C₂³×C₁₃	1	8	yes	—
1170	#117	C₂³×C₁₃	1	8	yes	—
1171	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1172	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1173	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1174	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1175	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1176	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1177	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1178	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1179	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1180	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1181	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1182	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1183	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1184	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1185	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1186	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1187	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1188	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1189	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1190	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1191	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1192	C₂×C₁₃	—	2	2	no	—
1193	C₂×C₁₃	—	4	2	no	—
1194	C₂×C₁₃	—	4	2	no	—
1195	C₂×C₁₃	—	4	4	no	—
1196	C₂×C₁₃	—	4	2	no	—
1197	C₂×C₁₃	—	4	4	no	—
1198	C₂×C₁₃	—	4	4	no	—
1199	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1200	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1201	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1202	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1203	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1204	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1205	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1206	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1207	#41	—	2	8	no	—
1208	#41	—	2	8	no	—
1209	#41	—	4	4	no	—
1210	#41	—	4	4	no	—
1211	#41	—	4	4	no	—
1212	#41	—	4	4	no	—
1213	#41	—	4	8	no	—
1214	#41	—	4	8	no	—
1215	#41	—	4	8	no	—
1216	#41	—	4	8	no	—
1217	#41	—	4	8	no	—
1218	#41	—	4	4	no	—
1219	#41	—	4	4	no	—
1220	#41	—	4	8	no	—
1221	#41	—	4	8	no	—
1222	#41	—	8	8	no	—
1223	#41	—	8	8	no	—
1224	C₂×Q₈	—	2	4	no	—
1225	C₂×Q₈	—	4	2	no	—
1226	C₂×Q₈	—	4	4	no	—
1227	C₂×Q₈	—	4	8	no	—
1228	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1229	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1230	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1231	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1232	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1233	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1234	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1235	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1236	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1237	C₂×D₄	—	2	4	no	—
1238	C₂×D₄	—	4	4	no	—
1239	C₂×D₄	—	4	8	no	—
1240	C₂×D₄	—	4	2	no	—
1241	C₂×D₄	—	4	4	no	—
1242	C₂×D₄	—	4	4	no	—
1243	C₂×D₄	—	4	8	no	—
1244	C₂×D₄	—	4	8	no	—
1245	C₂×D₄	—	8	4	no	—
1246	C₂×D₄	—	8	8	no	—
1247	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1248	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1249	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1250	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1251	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1252	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1253	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1254	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1255	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1256	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1257	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1258	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1259	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1260	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1261	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1262	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1263	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1264	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1265	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1266	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1267	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1268	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1269	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1270	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1271	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1272	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1273	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1274	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1275	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1276	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1277	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1278	C₂²×C₄	—	2	4	no	—
1279	C₂²×C₄	—	2	8	no	—
1280	C₂²×C₄	—	4	8	no	—
1281	C₂²×C₄	—	4	4	no	—
1282	C₂²×C₄	—	8	2	no	—
1283	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1284	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1285	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1286	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1287	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1288	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1289	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1291	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1292	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1293	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1294	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1295	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1296	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1297	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1298	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1299	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1300	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1301	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1302	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1303	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1304	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1305	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1306	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1307	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1308	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1309	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1310	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1311	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1312	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1313	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1314	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1315	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1316	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1317	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1318	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1319	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1320	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1321	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1322	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1323	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1324	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1325	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1326	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1327	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1328	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1329	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1330	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1331	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1332	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1333	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1334	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1335	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1336	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1337	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1338	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1339	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1340	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1341	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1342	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1343	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1344	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1345	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1346	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1347	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1348	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1349	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1350	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1351	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1352	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1353	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1354	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1355	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1356	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1357	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1358	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1359	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1360	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1361	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1362	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1363	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1364	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1365	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1366	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1367	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1368	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1369	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1370	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1371	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1372	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1373	C₄²	C₂⁴×C₁₃	1	4	yes	—
1374	C₄²	C₂⁴×C₁₃	1	4	yes	—
1375	C₄²	C₂⁴×C₁₃	1	4	yes	—
1376	C₄²	C₂⁴×C₁₃	1	4	yes	—
1377	C₄²	C₂⁴×C₁₃	1	8	yes	—
1378	C₄²	C₂⁴×C₁₃	1	8	yes	—
1379	C₄²	C₂⁴×C₁₃	1	8	yes	—
1380	C₁₃	#62875	1	1	yes	characteristic, direct product factor, Sylow
1381	C₂³	—	2	2	no	—
1382	C₂³	—	2	4	no	—
1383	C₂³	—	2	4	no	—
1384	C₂³	—	4	1	no	—
1385	C₂³	—	4	1	no	—
1386	C₂³	—	4	4	no	—
1387	C₂³	—	4	2	no	—
1388	C₂³	—	4	2	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	4	2	no	—
1391	C₂³	—	4	2	no	—
1392	C₂³	—	4	4	no	—
1393	C₂³	—	4	4	no	—
1394	C₂³	—	4	4	no	—
1395	C₂³	—	4	4	no	—
1396	C₂³	C₂⁵×C₁₃	1	2	yes	—
1397	C₂³	C₂⁵×C₁₃	1	4	yes	—
1398	C₂³	C₂⁵×C₁₃	1	4	yes	—
1399	C₂³	C₂⁵×C₁₃	1	2	yes	—
1400	C₂³	C₂⁵×C₁₃	1	2	yes	—
1401	C₂³	C₂⁵×C₁₃	1	4	yes	—
1402	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1403	Q₈	—	2	8	no	—
1404	Q₈	—	2	4	no	—
1405	Q₈	—	2	4	no	—
1406	Q₈	—	4	4	no	—
1407	Q₈	—	4	1	no	—
1408	Q₈	—	4	2	no	—
1409	Q₈	—	4	1	no	—
1410	Q₈	—	4	4	no	—
1411	Q₈	—	4	8	no	—
1412	D₄	—	2	8	no	—
1413	D₄	—	2	8	no	—
1414	D₄	—	2	8	no	—
1415	D₄	—	2	4	no	—
1416	D₄	—	2	4	no	—
1417	D₄	—	4	8	no	—
1418	D₄	—	4	1	no	—
1419	D₄	—	4	2	no	—
1420	D₄	—	4	2	no	—
1421	D₄	—	4	1	no	—
1422	D₄	—	4	2	no	—
1423	D₄	—	4	2	no	—
1424	D₄	—	4	2	no	—
1425	D₄	—	4	4	no	—
1426	D₄	—	4	4	no	—
1427	D₄	—	4	4	no	—
1428	D₄	—	4	8	no	—
1429	D₄	—	4	8	no	—
1430	D₄	—	4	4	no	—
1431	D₄	—	4	8	no	—
1432	D₄	—	4	8	no	—
1433	D₄	—	4	8	no	—
1434	D₄	—	4	4	no	—
1435	D₄	—	4	4	no	—
1436	D₄	—	4	4	no	—
1437	D₄	—	4	8	no	—
1438	D₄	—	4	4	no	—
1439	D₄	—	4	4	no	—
1440	D₄	—	4	4	no	—
1441	D₄	—	4	4	no	—
1442	D₄	—	4	4	no	—
1443	C₂×C₄	—	2	2	no	—
1444	C₂×C₄	—	2	4	no	—
1445	C₂×C₄	—	2	4	no	—
1446	C₂×C₄	—	2	4	no	—
1447	C₂×C₄	—	2	4	no	—
1448	C₂×C₄	—	2	4	no	—
1449	C₂×C₄	—	2	4	no	—
1450	C₂×C₄	—	2	4	no	—
1451	C₂×C₄	—	2	4	no	—
1452	C₂×C₄	—	2	8	no	—
1453	C₂×C₄	—	2	8	no	—
1454	C₂×C₄	—	4	4	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	4	4	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	8	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	8	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	4	no	—
1465	C₂×C₄	—	4	8	no	—
1466	C₂×C₄	—	4	8	no	—
1467	C₂×C₄	—	4	4	no	—
1468	C₂×C₄	—	4	4	no	—
1469	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1470	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1471	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1472	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1473	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1474	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1475	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1476	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1477	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1478	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1479	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1480	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1481	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1482	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1483	C₂²	—	2	1	no	—
1484	C₂²	—	2	1	no	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	4	no	—
1489	C₂²	—	2	4	no	—
1490	C₂²	—	2	4	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	4	no	—
1494	C₂²	—	2	4	no	—
1495	C₂²	—	2	4	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	4	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	4	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	4	no	—
1503	C₂²	—	4	4	no	—
1504	C₂²	—	8	4	no	—
1505	C₂²	—	8	4	no	—
1506	C₂²	—	8	8	no	—
1507	C₂²	—	16	4	no	—
1508	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1509	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1510	C₄	—	2	1	no	—
1511	C₄	—	2	1	no	—
1512	C₄	—	2	2	no	—
1513	C₄	—	2	2	no	—
1514	C₄	—	2	4	no	—
1515	C₄	—	2	4	no	—
1516	C₄	—	2	4	no	—
1517	C₄	—	2	8	no	—
1518	C₄	—	2	4	no	—
1519	C₄	—	2	4	no	—
1520	C₄	—	2	4	no	—
1521	C₄	—	2	4	no	—
1522	C₄	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1523	C₂	—	2	2	no	—
1524	C₂	—	4	2	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	4	4	no	—
1527	C₂	—	4	4	no	—
1528	C₂	—	4	2	no	—
1529	C₂	—	4	4	no	—
1530	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1531	C₂	C₁₃×H(7,𝔽₂)	1	1	yes	characteristic
1532	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×#3551	C₂	semidirect
2. C₁₃×#3548	C₂	semidirect
3. C₁₃×#3547	C₂	semidirect
4. C₁₃×#3546	C₂	semidirect
5. C₁₃×#3542	C₂	semidirect
6. C₁₃×#3542	C₂	semidirect
7. C₁₃×#3541	C₂	semidirect
8. C₁₃×#3539	C₂	semidirect
9. C₁₃×#3536	C₂	semidirect
10. C₁₃×#3535	C₂	semidirect
11. C₁₃×#3534	C₂	semidirect
12. C₁₃×#3495	C₂	semidirect
13. C₁₃×#3494	C₂	semidirect
14. C₁₃×#3492	C₂	semidirect
15. C₁₃×#3489	C₂	semidirect
16. C₁₃×#3488	C₂	semidirect
17. C₁₃×#3487	C₂	semidirect
18. C₁₃×#3485	C₂	semidirect
19. C₁₃×#3449	C₂	semidirect
20. C₂×C₁₃×#537	C₂	semidirect
21. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
23. C₂²×C₁₃×#41	C₂²	semidirect
24. C₂²×C₁₃×#41	C₂²	semidirect
25. C₂²×C₁₃×#41	C₂²	semidirect
26. C₁₃×#563	C₂²	semidirect
27. C₁₃×#562	C₂²	semidirect
28. C₁₃×#562	C₂²	semidirect
29. C₁₃×#562	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#560	C₂²	semidirect
32. C₁₃×#560	C₂²	semidirect
33. C₁₃×#560	C₂²	semidirect
34. C₁₃×#556	C₂²	semidirect
35. C₁₃×#555	C₂²	semidirect
36. C₁₃×#555	C₂²	semidirect
37. C₁₃×#554	C₂²	semidirect
38. C₁₃×#554	C₂²	semidirect
39. C₁₃×#554	C₂²	semidirect
40. C₁₃×#554	C₂²	semidirect
41. C₁₃×#553	C₂²	semidirect
42. C₁₃×#553	C₂²	semidirect
43. C₁₃×#553	C₂²	semidirect
44. C₁₃×#553	C₂²	semidirect
45. C₁₃×#553	C₂²	semidirect
46. C₁₃×#553	C₂²	semidirect
47. C₁₃×#552	C₂²	semidirect
48. C₁₃×#552	C₂²	semidirect
49. C₁₃×#552	C₂²	semidirect
50. C₁₃×#552	C₂²	semidirect
51. C₁₃×#552	C₂²	semidirect
52. C₁₃×#551	C₂²	semidirect
53. C₁₃×#551	C₂²	semidirect
54. C₁₃×#551	C₂²	semidirect
55. C₁₃×#550	C₂²	semidirect
56. C₁₃×#550	C₂²	semidirect
57. C₁₃×#550	C₂²	semidirect
58. C₁₃×#550	C₂²	semidirect
59. D₄×Q₈×C₁₃	C₂²	semidirect
60. C₁₃×#548	C₂²	semidirect
61. C₁₃×#548	C₂²	semidirect
62. C₁₃×#548	C₂²	semidirect
63. C₁₃×#548	C₂²	semidirect
64. C₁₃×#547	C₂²	semidirect
65. C₁₃×#547	C₂²	semidirect
66. C₁₃×#547	C₂²	semidirect
67. C₁₃×#547	C₂²	semidirect
68. C₁₃×#547	C₂²	semidirect
69. C₁₃×#547	C₂²	semidirect
70. C₁₃×#547	C₂²	semidirect
71. C₁₃×#546	C₂²	semidirect
72. C₁₃×#546	C₂²	semidirect
73. C₁₃×#546	C₂²	semidirect
74. C₁₃×#546	C₂²	semidirect
75. C₁₃×#546	C₂²	semidirect
76. C₁₃×#546	C₂²	semidirect
77. C₁₃×#546	C₂²	semidirect
78. C₁₃×#546	C₂²	semidirect
79. C₁₃×#546	C₂²	semidirect
80. D₄²×C₁₃	C₂²	semidirect
81. D₄²×C₁₃	C₂²	semidirect
82. C₁₃×#544	C₂²	semidirect
83. C₁₃×#544	C₂²	semidirect
84. C₁₃×#543	C₂²	semidirect
85. C₁₃×#542	C₂²	semidirect
86. C₁₃×#542	C₂²	semidirect
87. C₁₃×#542	C₂²	semidirect
88. C₁₃×#542	C₂²	semidirect
89. C₁₃×#541	C₂²	semidirect
90. C₁₃×#540	C₂²	semidirect
91. C₁₃×#540	C₂²	semidirect
92. C₁₃×#540	C₂²	semidirect
93. C₁₃×#540	C₂²	semidirect
94. C₁₃×#540	C₂²	semidirect
95. C₁₃×#539	C₂²	semidirect
96. C₁₃×#539	C₂²	semidirect
97. C₁₃×#539	C₂²	semidirect
98. C₁₃×#539	C₂²	semidirect
99. C₁₃×#538	C₂²	semidirect
100. C₁₃×#538	C₂²	semidirect
101. C₁₃×#538	C₂²	semidirect
102. C₁₃×#538	C₂²	semidirect
103. C₁₃×#538	C₂²	semidirect
105. C₁₃×#537	C₂²	semidirect
106. C₁₃×#537	C₂²	semidirect
107. C₁₃×#537	C₂²	semidirect
108. C₁₃×#537	C₂²	semidirect
109. C₁₃×#537	C₂²	semidirect
110. C₁₃×#537	C₂²	semidirect
111. C₁₃×#537	C₂²	semidirect
112. C₁₃×#537	C₂²	semidirect
113. C₁₃×#537	C₂²	semidirect
114. C₁₃×#537	C₂²	semidirect
115. C₁₃×#537	C₂²	semidirect
116. C₁₃×#537	C₂²	semidirect
117. C₁₃×#536	C₂²	semidirect
118. C₁₃×#536	C₂²	semidirect
119. C₁₃×#536	C₂²	semidirect
120. C₁₃×#536	C₂²	semidirect
121. C₁₃×#536	C₂²	semidirect
122. C₁₃×#535	C₂²	semidirect
123. C₁₃×#535	C₂²	semidirect
124. C₁₃×#535	C₂²	semidirect
125. C₁₃×#535	C₂²	semidirect
126. C₁₃×#535	C₂²	semidirect
127. C₁₃×#535	C₂²	semidirect
128. C₁₃×#535	C₂²	semidirect
129. C₁₃×#534	C₂²	semidirect
130. C₁₃×#534	C₂²	semidirect
131. C₁₃×#534	C₂²	semidirect
132. C₁₃×#534	C₂²	semidirect
133. C₁₃×#533	C₂²	semidirect
134. C₁₃×#532	C₂²	semidirect
135. C₁₃×#532	C₂²	semidirect
136. C₁₃×#532	C₂²	semidirect
137. C₁₃×#529	C₂²	semidirect
138. C₁₃×#529	C₂²	semidirect
140. C₁₃×#525	C₂²	semidirect
141. C₁₃×#525	C₂²	semidirect
142. C₁₃×#525	C₂²	semidirect
143. C₁₃×#525	C₂²	semidirect
144. C₁₃×#525	C₂²	semidirect
145. C₁₃×#525	C₂²	semidirect
146. C₁₃×#525	C₂²	semidirect
147. C₁₃×#525	C₂²	semidirect
148. C₁₃×#525	C₂²	semidirect
149. C₂×C₁₃×#123	C₂²	semidirect
150. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
151. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
152. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
153. C₂×C₁₃×#121	C₂²	semidirect
154. C₂×C₁₃×#121	C₂²	semidirect
155. C₂×C₁₃×#121	C₂²	semidirect
156. C₂×C₁₃×#121	C₂²	semidirect
157. C₁₃×#520	C₂²	semidirect
158. C₁₃×#520	C₂²	semidirect
159. C₁₃×#519	C₂²	semidirect
160. C₁₃×#518	C₂²	semidirect
161. C₂×C₁₃×#117	C₂²	semidirect
162. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
436. #62875	C₁₃	direct (N × H)
615. #3551	C₂×C₁₃	semidirect
616. #3548	C₂×C₁₃	semidirect
617. #3547	C₂×C₁₃	semidirect
618. #3546	C₂×C₁₃	semidirect
619. #3542	C₂×C₁₃	semidirect
620. #3542	C₂×C₁₃	semidirect
621. #3541	C₂×C₁₃	semidirect
622. #3539	C₂×C₁₃	semidirect
623. #3536	C₂×C₁₃	semidirect
624. #3535	C₂×C₁₃	semidirect
625. #3534	C₂×C₁₃	semidirect
626. #3495	C₂×C₁₃	semidirect
627. #3494	C₂×C₁₃	semidirect
628. #3492	C₂×C₁₃	semidirect
629. #3489	C₂×C₁₃	semidirect
630. #3488	C₂×C₁₃	semidirect
631. #3487	C₂×C₁₃	semidirect
632. #3485	C₂×C₁₃	semidirect
633. #3449	C₂×C₁₃	semidirect
634. C₂×#537	C₂×C₁₃	semidirect
737. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
739. C₂²×#41	C₂²×C₁₃	semidirect
740. C₂²×#41	C₂²×C₁₃	semidirect
741. C₂²×#41	C₂²×C₁₃	semidirect
742. #563	C₂²×C₁₃	semidirect
743. #562	C₂²×C₁₃	semidirect
744. #562	C₂²×C₁₃	semidirect
745. #562	C₂²×C₁₃	semidirect
746. #562	C₂²×C₁₃	semidirect
747. #560	C₂²×C₁₃	semidirect
748. #560	C₂²×C₁₃	semidirect
749. #560	C₂²×C₁₃	semidirect
750. #556	C₂²×C₁₃	semidirect
751. #555	C₂²×C₁₃	semidirect
752. #555	C₂²×C₁₃	semidirect
753. #554	C₂²×C₁₃	semidirect
754. #554	C₂²×C₁₃	semidirect
755. #554	C₂²×C₁₃	semidirect
756. #554	C₂²×C₁₃	semidirect
757. #553	C₂²×C₁₃	semidirect
758. #553	C₂²×C₁₃	semidirect
759. #553	C₂²×C₁₃	semidirect
760. #553	C₂²×C₁₃	semidirect
761. #553	C₂²×C₁₃	semidirect
762. #553	C₂²×C₁₃	semidirect
763. #552	C₂²×C₁₃	semidirect
764. #552	C₂²×C₁₃	semidirect
765. #552	C₂²×C₁₃	semidirect
766. #552	C₂²×C₁₃	semidirect
767. #552	C₂²×C₁₃	semidirect
768. #551	C₂²×C₁₃	semidirect
769. #551	C₂²×C₁₃	semidirect
770. #551	C₂²×C₁₃	semidirect
771. #550	C₂²×C₁₃	semidirect
772. #550	C₂²×C₁₃	semidirect
773. #550	C₂²×C₁₃	semidirect
774. #550	C₂²×C₁₃	semidirect
775. D₄×Q₈	C₂²×C₁₃	semidirect
776. #548	C₂²×C₁₃	semidirect
777. #548	C₂²×C₁₃	semidirect
778. #548	C₂²×C₁₃	semidirect
779. #548	C₂²×C₁₃	semidirect
780. #547	C₂²×C₁₃	semidirect
781. #547	C₂²×C₁₃	semidirect
782. #547	C₂²×C₁₃	semidirect
783. #547	C₂²×C₁₃	semidirect
784. #547	C₂²×C₁₃	semidirect
785. #547	C₂²×C₁₃	semidirect
786. #547	C₂²×C₁₃	semidirect
787. #546	C₂²×C₁₃	semidirect
788. #546	C₂²×C₁₃	semidirect
789. #546	C₂²×C₁₃	semidirect
790. #546	C₂²×C₁₃	semidirect
791. #546	C₂²×C₁₃	semidirect
792. #546	C₂²×C₁₃	semidirect
793. #546	C₂²×C₁₃	semidirect
794. #546	C₂²×C₁₃	semidirect
795. #546	C₂²×C₁₃	semidirect
796. D₄²	C₂²×C₁₃	semidirect
797. D₄²	C₂²×C₁₃	semidirect
798. #544	C₂²×C₁₃	semidirect
799. #544	C₂²×C₁₃	semidirect
800. #543	C₂²×C₁₃	semidirect
801. #542	C₂²×C₁₃	semidirect
802. #542	C₂²×C₁₃	semidirect
803. #542	C₂²×C₁₃	semidirect
804. #542	C₂²×C₁₃	semidirect
805. #541	C₂²×C₁₃	semidirect
806. #540	C₂²×C₁₃	semidirect
807. #540	C₂²×C₁₃	semidirect
808. #540	C₂²×C₁₃	semidirect
809. #540	C₂²×C₁₃	semidirect
810. #540	C₂²×C₁₃	semidirect
811. #539	C₂²×C₁₃	semidirect
812. #539	C₂²×C₁₃	semidirect
813. #539	C₂²×C₁₃	semidirect
814. #539	C₂²×C₁₃	semidirect
815. #538	C₂²×C₁₃	semidirect
816. #538	C₂²×C₁₃	semidirect
817. #538	C₂²×C₁₃	semidirect
818. #538	C₂²×C₁₃	semidirect
819. #538	C₂²×C₁₃	semidirect
821. #537	C₂²×C₁₃	semidirect
822. #537	C₂²×C₁₃	semidirect
823. #537	C₂²×C₁₃	semidirect
824. #537	C₂²×C₁₃	semidirect
825. #537	C₂²×C₁₃	semidirect
826. #537	C₂²×C₁₃	semidirect
827. #537	C₂²×C₁₃	semidirect
828. #537	C₂²×C₁₃	semidirect
829. #537	C₂²×C₁₃	semidirect
830. #537	C₂²×C₁₃	semidirect
831. #537	C₂²×C₁₃	semidirect
832. #537	C₂²×C₁₃	semidirect
833. #536	C₂²×C₁₃	semidirect
834. #536	C₂²×C₁₃	semidirect
835. #536	C₂²×C₁₃	semidirect
836. #536	C₂²×C₁₃	semidirect
837. #536	C₂²×C₁₃	semidirect
838. #535	C₂²×C₁₃	semidirect
839. #535	C₂²×C₁₃	semidirect
840. #535	C₂²×C₁₃	semidirect
841. #535	C₂²×C₁₃	semidirect
842. #535	C₂²×C₁₃	semidirect
843. #535	C₂²×C₁₃	semidirect
844. #535	C₂²×C₁₃	semidirect
845. #534	C₂²×C₁₃	semidirect
846. #534	C₂²×C₁₃	semidirect
847. #534	C₂²×C₁₃	semidirect
848. #534	C₂²×C₁₃	semidirect
849. #533	C₂²×C₁₃	semidirect
850. #532	C₂²×C₁₃	semidirect
851. #532	C₂²×C₁₃	semidirect
852. #532	C₂²×C₁₃	semidirect
853. #529	C₂²×C₁₃	semidirect
854. #529	C₂²×C₁₃	semidirect
856. #525	C₂²×C₁₃	semidirect
857. #525	C₂²×C₁₃	semidirect
858. #525	C₂²×C₁₃	semidirect
859. #525	C₂²×C₁₃	semidirect
860. #525	C₂²×C₁₃	semidirect
861. #525	C₂²×C₁₃	semidirect
862. #525	C₂²×C₁₃	semidirect
863. #525	C₂²×C₁₃	semidirect
864. #525	C₂²×C₁₃	semidirect
865. C₂×#123	C₂²×C₁₃	semidirect
866. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
867. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
868. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
869. C₂×#121	C₂²×C₁₃	semidirect
870. C₂×#121	C₂²×C₁₃	semidirect
871. C₂×#121	C₂²×C₁₃	semidirect
872. C₂×#121	C₂²×C₁₃	semidirect
873. #520	C₂²×C₁₃	semidirect
874. #520	C₂²×C₁₃	semidirect
875. #519	C₂²×C₁₃	semidirect
876. #518	C₂²×C₁₃	semidirect
877. C₂×#117	C₂²×C₁₃	semidirect
878. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
1380. C₁₃	#62875	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×#3551	2
C₁₃×#3548	2
C₁₃×#3547	2
C₁₃×#3546	2
C₁₃×#3542	2
C₁₃×#3541	2
C₁₃×#3539	2
C₁₃×#3536	2
C₁₃×#3535	2
C₁₃×#3534	2
C₁₃×#3495	2
C₁₃×#3494	2
C₁₃×#3492	2
C₁₃×#3489	2
C₁₃×#3488	2
C₁₃×#3487	2
C₁₃×#3485	2
C₁₃×#3449	2
C₂×C₁₃×#537	2
#62875	13

Subgroups — C13×#62875 #15749214

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62875 #15749214