Subgroups — C₁₃×#63054 #15749393

Order 3328.

6624 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3561	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3559	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3554	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3553	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3548	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3547	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3541	C₂	1	8	yes	maximal, complemented
9	C₁₃×#3536	C₂	1	8	yes	maximal, complemented
10	C₁₃×#3535	C₂	1	8	yes	maximal, complemented
11	C₁₃×#3531	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#562	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3519	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3514	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3513	C₂	1	4	yes	maximal, complemented
16	C₁₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3501	C₂	1	4	yes	maximal, complemented
18	C₁₃×#564	C₂²	1	1	yes	characteristic, complemented
19	C₁₃×#563	C₂²	1	4	yes	complemented
20	C₁₃×#563	C₂²	1	4	yes	complemented
21	C₁₃×#563	C₂²	1	2	yes	complemented
22	C₁₃×#563	C₂²	1	8	yes	complemented
23	C₁₃×#563	C₂²	1	4	yes	complemented
24	C₁₃×#562	C₂²	1	1	yes	characteristic
25	C₁₃×#562	C₂²	1	8	yes	complemented
26	C₁₃×#562	C₂²	1	8	yes	complemented
27	C₁₃×#562	C₂²	1	8	yes	complemented
28	C₁₃×#562	C₂²	1	2	yes	complemented
29	C₁₃×#562	C₂²	1	4	yes	complemented
30	C₁₃×#562	C₂²	1	4	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×#562	C₂²	1	8	yes	complemented
33	C₁₃×#562	C₂²	1	2	yes	complemented
34	C₁₃×#559	C₂²	1	4	yes	complemented
35	C₁₃×#559	C₂²	1	2	yes	complemented
36	C₁₃×#557	C₂²	1	4	yes	complemented
37	C₁₃×#556	C₂²	1	8	yes	complemented
38	C₁₃×#556	C₂²	1	2	yes	complemented
39	C₁₃×#555	C₂²	1	4	yes	complemented
40	C₁₃×#555	C₂²	1	4	yes	complemented
41	C₁₃×#554	C₂²	1	4	yes	—
42	C₁₃×#554	C₂²	1	4	yes	—
43	C₁₃×#554	C₂²	1	8	yes	complemented
44	C₁₃×#554	C₂²	1	8	yes	complemented
45	C₁₃×#554	C₂²	1	8	yes	complemented
46	C₁₃×#554	C₂²	1	8	yes	complemented
47	C₁₃×#554	C₂²	1	4	yes	complemented
48	C₁₃×#554	C₂²	1	4	yes	complemented
49	C₁₃×#554	C₂²	1	4	yes	complemented
50	C₁₃×#553	C₂²	1	8	yes	complemented
51	C₁₃×#553	C₂²	1	4	yes	complemented
52	C₁₃×#553	C₂²	1	4	yes	complemented
53	C₁₃×#553	C₂²	1	8	yes	complemented
54	C₁₃×#553	C₂²	1	4	yes	complemented
55	C₁₃×#552	C₂²	1	8	yes	complemented
56	C₁₃×#552	C₂²	1	8	yes	complemented
57	C₁₃×#552	C₂²	1	4	yes	complemented
58	C₁₃×#551	C₂²	1	8	yes	complemented
59	C₁₃×#551	C₂²	1	8	yes	complemented
60	C₁₃×#551	C₂²	1	8	yes	complemented
61	C₁₃×#550	C₂²	1	4	yes	complemented
62	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
63	D₄×Q₈×C₁₃	C₂²	1	8	yes	complemented
64	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
65	C₁₃×#548	C₂²	1	8	yes	complemented
66	C₁₃×#548	C₂²	1	8	yes	complemented
67	C₁₃×#548	C₂²	1	4	yes	complemented
68	C₁₃×#547	C₂²	1	4	yes	complemented
69	C₁₃×#547	C₂²	1	8	yes	complemented
70	C₁₃×#547	C₂²	1	8	yes	complemented
71	C₁₃×#547	C₂²	1	4	yes	complemented
72	C₁₃×#546	C₂²	1	4	yes	—
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	8	yes	complemented
77	C₁₃×#546	C₂²	1	4	yes	complemented
78	D₄²×C₁₃	C₂²	1	4	yes	—
79	D₄²×C₁₃	C₂²	1	2	yes	—
80	C₁₃×#544	C₂²	1	4	yes	complemented
81	C₁₃×#544	C₂²	1	2	yes	complemented
82	C₁₃×#544	C₂²	1	4	yes	complemented
83	C₁₃×#544	C₂²	1	4	yes	complemented
84	C₁₃×#543	C₂²	1	8	yes	complemented
85	C₁₃×#543	C₂²	1	8	yes	complemented
86	C₁₃×#542	C₂²	1	8	yes	complemented
87	C₁₃×#542	C₂²	1	8	yes	complemented
88	C₁₃×#542	C₂²	1	8	yes	complemented
89	C₁₃×#542	C₂²	1	8	yes	complemented
90	C₁₃×#542	C₂²	1	8	yes	complemented
91	C₁₃×#542	C₂²	1	4	yes	complemented
92	C₁₃×#542	C₂²	1	4	yes	complemented
93	C₁₃×#541	C₂²	1	8	yes	complemented
94	C₁₃×#540	C₂²	1	4	yes	complemented
95	C₁₃×#540	C₂²	1	4	yes	complemented
96	C₁₃×#540	C₂²	1	4	yes	complemented
97	C₁₃×#539	C₂²	1	8	yes	complemented
98	C₁₃×#539	C₂²	1	8	yes	complemented
99	C₁₃×#539	C₂²	1	8	yes	complemented
100	C₁₃×#539	C₂²	1	8	yes	complemented
101	C₁₃×#539	C₂²	1	8	yes	complemented
102	C₁₃×#539	C₂²	1	4	yes	complemented
103	C₁₃×#538	C₂²	1	8	yes	complemented
104	C₁₃×#538	C₂²	1	8	yes	complemented
105	C₁₃×#538	C₂²	1	8	yes	complemented
106	C₁₃×#538	C₂²	1	8	yes	complemented
107	C₁₃×#537	C₂²	1	8	yes	complemented
108	C₁₃×#537	C₂²	1	4	yes	complemented
109	C₁₃×#537	C₂²	1	8	yes	complemented
110	C₁₃×#536	C₂²	1	8	yes	complemented
111	C₁₃×#536	C₂²	1	8	yes	complemented
112	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#533	C₂²	1	4	yes	complemented
114	C₁₃×#533	C₂²	1	4	yes	complemented
115	C₁₃×#533	C₂²	1	2	yes	complemented
116	C₁₃×#532	C₂²	1	4	yes	complemented
117	C₁₃×#532	C₂²	1	2	yes	complemented
118	C₁₃×#529	C₂²	1	4	yes	complemented
119	C₁₃×#529	C₂²	1	4	yes	complemented
120	C₁₃×#529	C₂²	1	2	yes	complemented
121	C₁₃×#529	C₂²	1	4	yes	complemented
122	C₁₃×#529	C₂²	1	4	yes	complemented
123	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
124	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₁₃×#124	C₂²	1	4	yes	complemented
126	C₁₃×#525	C₂²	1	8	yes	complemented
127	C₁₃×#525	C₂²	1	8	yes	complemented
128	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
129	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
130	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	8	yes	complemented
131	C₂×C₁₃×#121	C₂²	1	8	yes	complemented
132	C₁₃×#520	C₂²	1	2	yes	—
133	C₁₃×#518	C₂²	1	4	yes	—
134	C₁₃×#518	C₂²	1	4	yes	—
135	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₄×C₁₃	C₂²	1	4	yes	—
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	8	yes	—
139	C₂×C₁₃×#41	C₂³	1	8	yes	—
140	C₂×C₁₃×#41	C₂³	1	8	yes	—
141	C₂×C₁₃×#41	C₂³	1	4	yes	—
142	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
143	C₂²×Q₈×C₁₃	C₂³	1	8	yes	—
144	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
145	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
146	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
147	C₂³×C₄×C₁₃	C₂³	1	8	yes	—
148	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
149	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
150	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
151	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
152	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
153	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
154	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
155	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
157	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
158	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
159	C₁₃×#127	C₂³	1	2	yes	—
160	C₁₃×#127	C₂³	1	4	yes	—
161	C₁₃×#126	C₂³	1	4	yes	—
162	C₁₃×#126	C₂³	1	4	yes	—
163	C₁₃×#126	C₂³	1	8	yes	—
164	C₁₃×#126	C₂³	1	8	yes	—
165	C₁₃×#126	C₂³	1	4	yes	—
166	C₁₃×#126	C₂³	1	4	yes	—
167	C₁₃×#126	C₂³	1	4	yes	—
168	C₁₃×#126	C₂³	1	8	yes	—
169	C₁₃×#126	C₂³	1	8	yes	—
170	C₁₃×#126	C₂³	1	8	yes	—
171	C₁₃×#126	C₂³	1	8	yes	—
172	C₁₃×#126	C₂³	1	8	yes	—
173	C₁₃×#126	C₂³	1	8	yes	—
174	C₁₃×#125	C₂³	1	1	yes	characteristic
175	C₁₃×#125	C₂³	1	2	yes	—
176	C₁₃×#125	C₂³	1	2	yes	—
177	C₁₃×#125	C₂³	1	8	yes	—
178	C₁₃×#125	C₂³	1	4	yes	—
179	C₁₃×#125	C₂³	1	4	yes	—
180	C₁₃×#125	C₂³	1	2	yes	—
181	C₁₃×#125	C₂³	1	4	yes	—
182	C₁₃×#125	C₂³	1	4	yes	—
183	C₁₃×#125	C₂³	1	4	yes	—
184	C₁₃×#125	C₂³	1	1	yes	characteristic
185	C₁₃×#125	C₂³	1	4	yes	—
186	C₁₃×#125	C₂³	1	4	yes	—
187	C₁₃×#125	C₂³	1	4	yes	—
188	C₁₃×#125	C₂³	1	4	yes	—
189	C₁₃×#125	C₂³	1	8	yes	—
190	C₁₃×#125	C₂³	1	8	yes	—
191	C₁₃×#125	C₂³	1	8	yes	—
192	C₁₃×#125	C₂³	1	8	yes	—
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#124	C₂³	1	4	yes	—
195	C₁₃×#124	C₂³	1	8	yes	—
196	C₁₃×#124	C₂³	1	8	yes	—
197	C₁₃×#124	C₂³	1	4	yes	—
198	C₁₃×#124	C₂³	1	4	yes	—
199	C₁₃×#124	C₂³	1	4	yes	—
200	C₁₃×#124	C₂³	1	4	yes	—
201	C₁₃×#124	C₂³	1	4	yes	—
202	C₁₃×#124	C₂³	1	8	yes	—
203	C₁₃×#124	C₂³	1	8	yes	—
204	C₁₃×#124	C₂³	1	8	yes	—
205	C₁₃×#124	C₂³	1	8	yes	—
206	C₁₃×#124	C₂³	1	8	yes	—
207	C₁₃×#124	C₂³	1	8	yes	—
208	C₁₃×#123	C₂³	1	4	yes	—
209	C₁₃×#123	C₂³	1	8	yes	—
210	C₁₃×#123	C₂³	1	8	yes	—
211	C₁₃×#123	C₂³	1	8	yes	—
212	C₁₃×#123	C₂³	1	8	yes	—
213	C₁₃×#123	C₂³	1	8	yes	—
214	C₁₃×#123	C₂³	1	8	yes	—
215	C₁₃×#123	C₂³	1	8	yes	—
216	C₁₃×#123	C₂³	1	4	yes	—
217	C₁₃×#123	C₂³	1	8	yes	—
218	C₁₃×#123	C₂³	1	8	yes	—
219	C₁₃×#123	C₂³	1	4	yes	—
220	C₁₃×#123	C₂³	1	8	yes	—
221	C₁₃×#123	C₂³	1	4	yes	—
222	C₁₃×#123	C₂³	1	4	yes	—
223	C₁₃×#123	C₂³	1	8	yes	—
224	C₁₃×#123	C₂³	1	8	yes	—
225	C₁₃×#123	C₂³	1	8	yes	—
226	C₁₃×#123	C₂³	1	8	yes	—
227	C₁₃×#123	C₂³	1	8	yes	—
228	C₁₃×#123	C₂³	1	8	yes	—
229	C₁₃×#123	C₂³	1	8	yes	—
230	C₁₃×#123	C₂³	1	8	yes	—
231	C₁₃×#123	C₂³	1	8	yes	—
232	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
233	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
234	C₁₃×C₂²⋊Q₈	C₂³	1	4	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	8	yes	—
239	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
240	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
242	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
243	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
245	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
247	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
248	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
249	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
250	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
251	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
252	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
261	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
262	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
263	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
267	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
268	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
270	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
271	C₁₃×#121	C₂³	1	4	yes	—
272	C₁₃×#121	C₂³	1	8	yes	—
273	C₁₃×#121	C₂³	1	8	yes	—
274	C₁₃×#121	C₂³	1	8	yes	—
275	C₁₃×#121	C₂³	1	8	yes	—
276	C₁₃×#121	C₂³	1	8	yes	—
277	C₁₃×#121	C₂³	1	8	yes	—
278	C₁₃×#121	C₂³	1	8	yes	—
279	C₁₃×#121	C₂³	1	8	yes	—
280	C₁₃×#121	C₂³	1	8	yes	—
281	C₁₃×#121	C₂³	1	8	yes	—
282	C₁₃×#121	C₂³	1	2	yes	—
283	C₁₃×#121	C₂³	1	4	yes	—
284	C₁₃×#121	C₂³	1	4	yes	—
285	C₁₃×#121	C₂³	1	4	yes	—
286	C₁₃×#121	C₂³	1	4	yes	—
287	C₁₃×#121	C₂³	1	4	yes	—
288	C₁₃×#121	C₂³	1	4	yes	—
289	C₁₃×#121	C₂³	1	4	yes	—
290	C₁₃×#121	C₂³	1	8	yes	—
291	C₁₃×#121	C₂³	1	8	yes	—
292	C₁₃×#121	C₂³	1	8	yes	—
293	C₁₃×#121	C₂³	1	8	yes	—
294	C₁₃×#121	C₂³	1	8	yes	—
295	C₁₃×#121	C₂³	1	8	yes	—
296	C₁₃×#121	C₂³	1	8	yes	—
297	C₁₃×#120	C₂³	1	8	yes	—
298	C₁₃×#120	C₂³	1	8	yes	—
299	C₁₃×#120	C₂³	1	8	yes	—
300	C₁₃×#120	C₂³	1	8	yes	—
301	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
302	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
303	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
304	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
305	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
306	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
307	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
308	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
309	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
310	C₄×D₄×C₁₃	C₂³	1	4	yes	—
311	C₄×D₄×C₁₃	C₂³	1	4	yes	—
312	C₄×D₄×C₁₃	C₂³	1	8	yes	—
313	C₄×D₄×C₁₃	C₂³	1	8	yes	—
314	C₄×D₄×C₁₃	C₂³	1	4	yes	—
315	C₄×D₄×C₁₃	C₂³	1	4	yes	—
316	C₄×D₄×C₁₃	C₂³	1	2	yes	—
317	C₄×D₄×C₁₃	C₂³	1	4	yes	—
318	C₄×D₄×C₁₃	C₂³	1	8	yes	—
319	C₄×D₄×C₁₃	C₂³	1	8	yes	—
320	C₄×D₄×C₁₃	C₂³	1	8	yes	—
321	C₄×D₄×C₁₃	C₂³	1	8	yes	—
322	C₄×D₄×C₁₃	C₂³	1	4	yes	—
323	C₄×D₄×C₁₃	C₂³	1	4	yes	—
324	C₄×D₄×C₁₃	C₂³	1	4	yes	—
325	C₄×D₄×C₁₃	C₂³	1	4	yes	—
326	C₄×D₄×C₁₃	C₂³	1	8	yes	—
327	C₄×D₄×C₁₃	C₂³	1	8	yes	—
328	C₄×D₄×C₁₃	C₂³	1	8	yes	—
329	C₄×D₄×C₁₃	C₂³	1	8	yes	—
330	C₄×D₄×C₁₃	C₂³	1	8	yes	—
331	C₄×D₄×C₁₃	C₂³	1	4	yes	—
332	C₄×D₄×C₁₃	C₂³	1	2	yes	—
333	C₄×D₄×C₁₃	C₂³	1	4	yes	—
334	C₄×D₄×C₁₃	C₂³	1	4	yes	—
335	C₄×D₄×C₁₃	C₂³	1	8	yes	—
336	C₄×D₄×C₁₃	C₂³	1	8	yes	—
337	C₄×D₄×C₁₃	C₂³	1	4	yes	—
338	C₁₃×#117	C₂³	1	2	yes	—
339	C₁₃×#117	C₂³	1	1	yes	characteristic
340	C₁₃×#117	C₂³	1	4	yes	—
341	C₁₃×#117	C₂³	1	4	yes	—
342	C₁₃×#117	C₂³	1	4	yes	—
343	C₁₃×#117	C₂³	1	4	yes	—
344	C₁₃×#117	C₂³	1	2	yes	—
345	C₁₃×#117	C₂³	1	4	yes	—
346	C₁₃×#117	C₂³	1	8	yes	—
347	C₁₃×#117	C₂³	1	8	yes	—
348	C₁₃×#117	C₂³	1	8	yes	—
349	C₁₃×#117	C₂³	1	8	yes	—
350	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
351	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
352	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
353	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
354	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
355	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
356	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
357	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
358	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
359	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
360	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
361	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
362	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
363	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
364	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
365	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
366	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
367	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
368	#63054	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
369	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
370	C₁₃×#41	—	2	4	no	—
371	C₁₃×#41	—	8	8	no	—
372	C₁₃×#41	—	8	8	no	—
373	C₁₃×#41	—	8	8	no	—
374	C₁₃×#41	—	8	4	no	—
375	C₂×Q₈×C₁₃	—	8	4	no	—
376	C₂×Q₈×C₁₃	—	8	8	no	—
377	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
379	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
380	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
381	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
382	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
383	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
384	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
385	C₂×D₄×C₁₃	—	2	16	no	—
386	C₂×D₄×C₁₃	—	8	8	no	—
387	C₂×D₄×C₁₃	—	8	4	no	—
388	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
389	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
390	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
391	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
392	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
393	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
394	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
395	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
396	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
397	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
398	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
399	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
400	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
401	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
402	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	—	8	8	no	—
404	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
407	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
409	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
410	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
411	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
412	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
413	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
414	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
415	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
416	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
417	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
418	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
419	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
420	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
421	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
422	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
425	C₁₃×C₄⋊C₄	C₂⁴	1	8	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	4	yes	—
430	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
431	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
432	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
433	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
434	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
435	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
436	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
437	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
438	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
439	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
440	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
450	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
451	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
452	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
453	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
454	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
455	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
456	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
459	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
460	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
464	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
472	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
473	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
474	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
475	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
476	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
477	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
478	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
479	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
481	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
482	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
483	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
484	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
485	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
487	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
488	C₄²×C₁₃	C₂⁴	1	2	yes	—
489	C₄²×C₁₃	C₂⁴	1	4	yes	—
490	C₄²×C₁₃	C₂⁴	1	4	yes	—
491	C₄²×C₁₃	C₂⁴	1	2	yes	—
492	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
493	C₄²×C₁₃	C₂⁴	1	4	yes	—
494	C₄²×C₁₃	C₂⁴	1	4	yes	—
495	C₄²×C₁₃	C₂⁴	1	4	yes	—
496	C₄²×C₁₃	C₂⁴	1	8	yes	—
497	C₄²×C₁₃	C₂⁴	1	8	yes	—
498	C₄²×C₁₃	C₂⁴	1	8	yes	—
499	#3565	C₂×C₁₃	1	4	yes	complemented
500	#3561	C₂×C₁₃	1	4	yes	complemented
501	#3559	C₂×C₁₃	1	2	yes	complemented
502	#3554	C₂×C₁₃	1	4	yes	complemented
503	#3553	C₂×C₁₃	1	2	yes	complemented
504	#3548	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3547	C₂×C₁₃	1	4	yes	complemented
506	#3541	C₂×C₁₃	1	8	yes	complemented
507	#3536	C₂×C₁₃	1	8	yes	complemented
508	#3535	C₂×C₁₃	1	8	yes	complemented
509	#3531	C₂×C₁₃	1	1	yes	characteristic, complemented
510	C₂×#562	C₂×C₁₃	1	2	yes	complemented
511	#3519	C₂×C₁₃	1	4	yes	complemented
512	#3514	C₂×C₁₃	1	2	yes	complemented
513	#3513	C₂×C₁₃	1	4	yes	complemented
514	#3504	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3501	C₂×C₁₃	1	4	yes	complemented
516	C₂³×C₁₃	—	2	16	no	—
517	C₂³×C₁₃	—	4	8	no	—
518	C₂³×C₁₃	—	4	8	no	—
519	C₂³×C₁₃	C₂⁵	1	4	yes	—
520	C₂³×C₁₃	C₂⁵	1	8	yes	—
521	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
522	C₂³×C₁₃	C₂⁵	1	2	yes	—
523	Q₈×C₁₃	—	2	2	no	—
524	Q₈×C₁₃	—	4	8	no	—
525	Q₈×C₁₃	—	4	4	no	—
526	Q₈×C₁₃	—	4	2	no	—
527	Q₈×C₁₃	—	4	8	no	—
528	Q₈×C₁₃	—	4	8	no	—
529	Q₈×C₁₃	—	4	4	no	—
530	Q₈×C₁₃	—	4	4	no	—
531	D₄×C₁₃	—	2	16	no	—
532	D₄×C₁₃	—	2	4	no	—
533	D₄×C₁₃	—	2	8	no	—
534	D₄×C₁₃	—	4	4	no	—
535	D₄×C₁₃	—	4	2	no	—
536	D₄×C₁₃	—	4	8	no	—
537	D₄×C₁₃	—	4	8	no	—
538	D₄×C₁₃	—	4	8	no	—
539	D₄×C₁₃	—	4	4	no	—
540	D₄×C₁₃	—	4	8	no	—
541	D₄×C₁₃	—	4	4	no	—
542	D₄×C₁₃	—	4	4	no	—
543	D₄×C₁₃	—	4	8	no	—
544	D₄×C₁₃	—	4	8	no	—
545	D₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
546	C₂×C₄×C₁₃	—	2	4	no	—
547	C₂×C₄×C₁₃	—	2	8	no	—
548	C₂×C₄×C₁₃	—	2	2	no	—
549	C₂×C₄×C₁₃	—	4	4	no	—
550	C₂×C₄×C₁₃	—	4	8	no	—
551	C₂×C₄×C₁₃	—	4	8	no	—
552	C₂×C₄×C₁₃	—	4	8	no	—
553	C₂×C₄×C₁₃	—	4	8	no	—
554	C₂×C₄×C₁₃	—	4	8	no	—
555	C₂×C₄×C₁₃	—	4	4	no	—
556	C₂×C₄×C₁₃	—	4	8	no	—
557	C₂×C₄×C₁₃	—	4	8	no	—
558	C₂×C₄×C₁₃	—	4	4	no	—
559	C₂×C₄×C₁₃	—	4	8	no	—
560	C₂×C₄×C₁₃	—	4	8	no	—
561	C₂×C₄×C₁₃	—	4	2	no	—
562	C₂×C₄×C₁₃	—	4	4	no	—
563	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
564	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
565	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
566	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
567	C₂×C₄×C₁₃	C₂⁵	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	4	yes	—
571	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
572	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
573	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
574	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
575	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
576	#564	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#563	C₂²×C₁₃	1	4	yes	complemented
578	#563	C₂²×C₁₃	1	4	yes	complemented
579	#563	C₂²×C₁₃	1	2	yes	complemented
580	#563	C₂²×C₁₃	1	8	yes	complemented
581	#563	C₂²×C₁₃	1	4	yes	complemented
582	#562	C₂²×C₁₃	1	1	yes	characteristic
583	#562	C₂²×C₁₃	1	8	yes	complemented
584	#562	C₂²×C₁₃	1	8	yes	complemented
585	#562	C₂²×C₁₃	1	8	yes	complemented
586	#562	C₂²×C₁₃	1	2	yes	complemented
587	#562	C₂²×C₁₃	1	4	yes	complemented
588	#562	C₂²×C₁₃	1	4	yes	complemented
589	#562	C₂²×C₁₃	1	8	yes	complemented
590	#562	C₂²×C₁₃	1	8	yes	complemented
591	#562	C₂²×C₁₃	1	2	yes	complemented
592	#559	C₂²×C₁₃	1	4	yes	complemented
593	#559	C₂²×C₁₃	1	2	yes	complemented
594	#557	C₂²×C₁₃	1	4	yes	complemented
595	#556	C₂²×C₁₃	1	2	yes	complemented
596	#556	C₂²×C₁₃	1	8	yes	complemented
597	#555	C₂²×C₁₃	1	4	yes	complemented
598	#555	C₂²×C₁₃	1	4	yes	complemented
599	#554	C₂²×C₁₃	1	4	yes	—
600	#554	C₂²×C₁₃	1	4	yes	—
601	#554	C₂²×C₁₃	1	8	yes	complemented
602	#554	C₂²×C₁₃	1	8	yes	complemented
603	#554	C₂²×C₁₃	1	8	yes	complemented
604	#554	C₂²×C₁₃	1	4	yes	complemented
605	#554	C₂²×C₁₃	1	4	yes	complemented
606	#554	C₂²×C₁₃	1	4	yes	complemented
607	#554	C₂²×C₁₃	1	8	yes	complemented
608	#553	C₂²×C₁₃	1	8	yes	complemented
609	#553	C₂²×C₁₃	1	4	yes	complemented
610	#553	C₂²×C₁₃	1	8	yes	complemented
611	#553	C₂²×C₁₃	1	4	yes	complemented
612	#553	C₂²×C₁₃	1	4	yes	complemented
613	#552	C₂²×C₁₃	1	4	yes	complemented
614	#552	C₂²×C₁₃	1	8	yes	complemented
615	#552	C₂²×C₁₃	1	8	yes	complemented
616	#551	C₂²×C₁₃	1	8	yes	complemented
617	#551	C₂²×C₁₃	1	8	yes	complemented
618	#551	C₂²×C₁₃	1	8	yes	complemented
619	#550	C₂²×C₁₃	1	4	yes	complemented
620	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
621	D₄×Q₈	C₂²×C₁₃	1	8	yes	complemented
622	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
623	#548	C₂²×C₁₃	1	4	yes	complemented
624	#548	C₂²×C₁₃	1	8	yes	complemented
625	#548	C₂²×C₁₃	1	8	yes	complemented
626	#547	C₂²×C₁₃	1	4	yes	complemented
627	#547	C₂²×C₁₃	1	4	yes	complemented
628	#547	C₂²×C₁₃	1	8	yes	complemented
629	#547	C₂²×C₁₃	1	8	yes	complemented
630	#546	C₂²×C₁₃	1	4	yes	—
631	#546	C₂²×C₁₃	1	8	yes	complemented
632	#546	C₂²×C₁₃	1	4	yes	complemented
633	#546	C₂²×C₁₃	1	8	yes	complemented
634	#546	C₂²×C₁₃	1	8	yes	complemented
635	#546	C₂²×C₁₃	1	8	yes	complemented
636	D₄²	C₂²×C₁₃	1	4	yes	—
637	D₄²	C₂²×C₁₃	1	2	yes	—
638	#544	C₂²×C₁₃	1	4	yes	complemented
639	#544	C₂²×C₁₃	1	4	yes	complemented
640	#544	C₂²×C₁₃	1	4	yes	complemented
641	#544	C₂²×C₁₃	1	2	yes	complemented
642	#543	C₂²×C₁₃	1	8	yes	complemented
643	#543	C₂²×C₁₃	1	8	yes	complemented
644	#542	C₂²×C₁₃	1	4	yes	complemented
645	#542	C₂²×C₁₃	1	4	yes	complemented
646	#542	C₂²×C₁₃	1	8	yes	complemented
647	#542	C₂²×C₁₃	1	8	yes	complemented
648	#542	C₂²×C₁₃	1	8	yes	complemented
649	#542	C₂²×C₁₃	1	8	yes	complemented
650	#542	C₂²×C₁₃	1	8	yes	complemented
651	#541	C₂²×C₁₃	1	8	yes	complemented
652	#540	C₂²×C₁₃	1	4	yes	complemented
653	#540	C₂²×C₁₃	1	4	yes	complemented
654	#540	C₂²×C₁₃	1	4	yes	complemented
655	#539	C₂²×C₁₃	1	8	yes	complemented
656	#539	C₂²×C₁₃	1	8	yes	complemented
657	#539	C₂²×C₁₃	1	8	yes	complemented
658	#539	C₂²×C₁₃	1	8	yes	complemented
659	#539	C₂²×C₁₃	1	8	yes	complemented
660	#539	C₂²×C₁₃	1	4	yes	complemented
661	#538	C₂²×C₁₃	1	8	yes	complemented
662	#538	C₂²×C₁₃	1	8	yes	complemented
663	#538	C₂²×C₁₃	1	8	yes	complemented
664	#538	C₂²×C₁₃	1	8	yes	complemented
665	#537	C₂²×C₁₃	1	8	yes	complemented
666	#537	C₂²×C₁₃	1	4	yes	complemented
667	#537	C₂²×C₁₃	1	8	yes	complemented
668	#536	C₂²×C₁₃	1	8	yes	complemented
669	#536	C₂²×C₁₃	1	8	yes	complemented
670	#533	C₂²×C₁₃	1	4	yes	complemented
671	#533	C₂²×C₁₃	1	4	yes	complemented
672	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	#533	C₂²×C₁₃	1	2	yes	complemented
674	#532	C₂²×C₁₃	1	2	yes	complemented
675	#532	C₂²×C₁₃	1	4	yes	complemented
676	#529	C₂²×C₁₃	1	4	yes	complemented
677	#529	C₂²×C₁₃	1	4	yes	complemented
678	#529	C₂²×C₁₃	1	2	yes	complemented
679	#529	C₂²×C₁₃	1	4	yes	complemented
680	#529	C₂²×C₁₃	1	4	yes	complemented
681	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
682	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	C₂×#124	C₂²×C₁₃	1	4	yes	complemented
684	#525	C₂²×C₁₃	1	8	yes	complemented
685	#525	C₂²×C₁₃	1	8	yes	complemented
686	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
687	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	8	yes	complemented
688	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	8	yes	complemented
689	C₂×#121	C₂²×C₁₃	1	8	yes	complemented
690	#520	C₂²×C₁₃	1	2	yes	—
691	#518	C₂²×C₁₃	1	4	yes	—
692	#518	C₂²×C₁₃	1	4	yes	—
693	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
694	C₂×C₄×D₄	C₂²×C₁₃	1	4	yes	—
695	C₂²×C₁₃	—	2	4	no	—
696	C₂²×C₁₃	—	2	1	no	—
697	C₂²×C₁₃	—	2	4	no	—
698	C₂²×C₁₃	—	2	8	no	—
699	C₂²×C₁₃	—	2	8	no	—
700	C₂²×C₁₃	—	2	2	no	—
701	C₂²×C₁₃	—	2	4	no	—
702	C₂²×C₁₃	—	2	8	no	—
703	C₂²×C₁₃	—	2	4	no	—
704	C₂²×C₁₃	—	8	16	no	—
705	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
706	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
707	C₄×C₁₃	—	2	1	no	—
708	C₄×C₁₃	—	2	4	no	—
709	C₄×C₁₃	—	2	2	no	—
710	C₄×C₁₃	—	2	4	no	—
711	C₄×C₁₃	—	2	8	no	—
712	C₄×C₁₃	—	2	2	no	—
713	C₄×C₁₃	—	2	8	no	—
714	C₄×C₁₃	—	2	4	no	—
715	C₄×C₁₃	—	2	4	no	—
716	C₄×C₁₃	—	2	2	no	—
717	C₄×C₁₃	—	2	4	no	—
718	C₄×C₁₃	—	2	4	no	—
719	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
720	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×#41	C₂³×C₁₃	1	8	yes	—
722	C₂×#41	C₂³×C₁₃	1	8	yes	—
723	C₂×#41	C₂³×C₁₃	1	8	yes	—
724	C₂×#41	C₂³×C₁₃	1	4	yes	—
725	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
726	C₂²×Q₈	C₂³×C₁₃	1	8	yes	—
727	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
728	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
729	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
730	C₂³×C₄	C₂³×C₁₃	1	8	yes	—
731	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
732	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
733	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
734	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
735	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
736	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
737	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
738	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
739	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
740	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
741	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
742	#127	C₂³×C₁₃	1	2	yes	—
743	#127	C₂³×C₁₃	1	4	yes	—
744	#126	C₂³×C₁₃	1	4	yes	—
745	#126	C₂³×C₁₃	1	4	yes	—
746	#126	C₂³×C₁₃	1	8	yes	—
747	#126	C₂³×C₁₃	1	8	yes	—
748	#126	C₂³×C₁₃	1	4	yes	—
749	#126	C₂³×C₁₃	1	4	yes	—
750	#126	C₂³×C₁₃	1	4	yes	—
751	#126	C₂³×C₁₃	1	8	yes	—
752	#126	C₂³×C₁₃	1	8	yes	—
753	#126	C₂³×C₁₃	1	8	yes	—
754	#126	C₂³×C₁₃	1	8	yes	—
755	#126	C₂³×C₁₃	1	8	yes	—
756	#126	C₂³×C₁₃	1	8	yes	—
757	#125	C₂³×C₁₃	1	1	yes	characteristic
758	#125	C₂³×C₁₃	1	2	yes	—
759	#125	C₂³×C₁₃	1	2	yes	—
760	#125	C₂³×C₁₃	1	8	yes	—
761	#125	C₂³×C₁₃	1	4	yes	—
762	#125	C₂³×C₁₃	1	4	yes	—
763	#125	C₂³×C₁₃	1	2	yes	—
764	#125	C₂³×C₁₃	1	4	yes	—
765	#125	C₂³×C₁₃	1	4	yes	—
766	#125	C₂³×C₁₃	1	4	yes	—
767	#125	C₂³×C₁₃	1	1	yes	characteristic
768	#125	C₂³×C₁₃	1	4	yes	—
769	#125	C₂³×C₁₃	1	4	yes	—
770	#125	C₂³×C₁₃	1	4	yes	—
771	#125	C₂³×C₁₃	1	4	yes	—
772	#125	C₂³×C₁₃	1	8	yes	—
773	#125	C₂³×C₁₃	1	8	yes	—
774	#125	C₂³×C₁₃	1	8	yes	—
775	#125	C₂³×C₁₃	1	8	yes	—
776	#124	C₂³×C₁₃	1	2	yes	—
777	#124	C₂³×C₁₃	1	4	yes	—
778	#124	C₂³×C₁₃	1	8	yes	—
779	#124	C₂³×C₁₃	1	8	yes	—
780	#124	C₂³×C₁₃	1	4	yes	—
781	#124	C₂³×C₁₃	1	4	yes	—
782	#124	C₂³×C₁₃	1	4	yes	—
783	#124	C₂³×C₁₃	1	4	yes	—
784	#124	C₂³×C₁₃	1	4	yes	—
785	#124	C₂³×C₁₃	1	8	yes	—
786	#124	C₂³×C₁₃	1	8	yes	—
787	#124	C₂³×C₁₃	1	8	yes	—
788	#124	C₂³×C₁₃	1	8	yes	—
789	#124	C₂³×C₁₃	1	8	yes	—
790	#124	C₂³×C₁₃	1	8	yes	—
791	#123	C₂³×C₁₃	1	4	yes	—
792	#123	C₂³×C₁₃	1	8	yes	—
793	#123	C₂³×C₁₃	1	8	yes	—
794	#123	C₂³×C₁₃	1	8	yes	—
795	#123	C₂³×C₁₃	1	8	yes	—
796	#123	C₂³×C₁₃	1	8	yes	—
797	#123	C₂³×C₁₃	1	8	yes	—
798	#123	C₂³×C₁₃	1	8	yes	—
799	#123	C₂³×C₁₃	1	4	yes	—
800	#123	C₂³×C₁₃	1	8	yes	—
801	#123	C₂³×C₁₃	1	8	yes	—
802	#123	C₂³×C₁₃	1	4	yes	—
803	#123	C₂³×C₁₃	1	8	yes	—
804	#123	C₂³×C₁₃	1	4	yes	—
805	#123	C₂³×C₁₃	1	4	yes	—
806	#123	C₂³×C₁₃	1	8	yes	—
807	#123	C₂³×C₁₃	1	8	yes	—
808	#123	C₂³×C₁₃	1	8	yes	—
809	#123	C₂³×C₁₃	1	8	yes	—
810	#123	C₂³×C₁₃	1	8	yes	—
811	#123	C₂³×C₁₃	1	8	yes	—
812	#123	C₂³×C₁₃	1	8	yes	—
813	#123	C₂³×C₁₃	1	8	yes	—
814	#123	C₂³×C₁₃	1	8	yes	—
815	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
816	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
817	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
818	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
819	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
820	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
821	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
822	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
823	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
824	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
825	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
826	C₂²⋊Q₈	C₂³×C₁₃	1	8	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	4	yes	—
831	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
832	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
833	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
834	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
835	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
836	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
837	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
838	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
839	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
840	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
841	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
842	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
843	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
844	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
845	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
846	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
847	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
848	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
849	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
850	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
851	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
852	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
853	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
854	#121	C₂³×C₁₃	1	4	yes	—
855	#121	C₂³×C₁₃	1	8	yes	—
856	#121	C₂³×C₁₃	1	8	yes	—
857	#121	C₂³×C₁₃	1	8	yes	—
858	#121	C₂³×C₁₃	1	8	yes	—
859	#121	C₂³×C₁₃	1	8	yes	—
860	#121	C₂³×C₁₃	1	8	yes	—
861	#121	C₂³×C₁₃	1	8	yes	—
862	#121	C₂³×C₁₃	1	8	yes	—
863	#121	C₂³×C₁₃	1	8	yes	—
864	#121	C₂³×C₁₃	1	8	yes	—
865	#121	C₂³×C₁₃	1	2	yes	—
866	#121	C₂³×C₁₃	1	4	yes	—
867	#121	C₂³×C₁₃	1	4	yes	—
868	#121	C₂³×C₁₃	1	4	yes	—
869	#121	C₂³×C₁₃	1	4	yes	—
870	#121	C₂³×C₁₃	1	4	yes	—
871	#121	C₂³×C₁₃	1	4	yes	—
872	#121	C₂³×C₁₃	1	4	yes	—
873	#121	C₂³×C₁₃	1	8	yes	—
874	#121	C₂³×C₁₃	1	8	yes	—
875	#121	C₂³×C₁₃	1	8	yes	—
876	#121	C₂³×C₁₃	1	8	yes	—
877	#121	C₂³×C₁₃	1	8	yes	—
878	#121	C₂³×C₁₃	1	8	yes	—
879	#121	C₂³×C₁₃	1	8	yes	—
880	#120	C₂³×C₁₃	1	8	yes	—
881	#120	C₂³×C₁₃	1	8	yes	—
882	#120	C₂³×C₁₃	1	8	yes	—
883	#120	C₂³×C₁₃	1	8	yes	—
884	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
885	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
886	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
887	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
888	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
889	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
890	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
891	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
892	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
893	C₄×D₄	C₂³×C₁₃	1	4	yes	—
894	C₄×D₄	C₂³×C₁₃	1	4	yes	—
895	C₄×D₄	C₂³×C₁₃	1	8	yes	—
896	C₄×D₄	C₂³×C₁₃	1	8	yes	—
897	C₄×D₄	C₂³×C₁₃	1	4	yes	—
898	C₄×D₄	C₂³×C₁₃	1	4	yes	—
899	C₄×D₄	C₂³×C₁₃	1	2	yes	—
900	C₄×D₄	C₂³×C₁₃	1	4	yes	—
901	C₄×D₄	C₂³×C₁₃	1	8	yes	—
902	C₄×D₄	C₂³×C₁₃	1	8	yes	—
903	C₄×D₄	C₂³×C₁₃	1	8	yes	—
904	C₄×D₄	C₂³×C₁₃	1	8	yes	—
905	C₄×D₄	C₂³×C₁₃	1	4	yes	—
906	C₄×D₄	C₂³×C₁₃	1	4	yes	—
907	C₄×D₄	C₂³×C₁₃	1	4	yes	—
908	C₄×D₄	C₂³×C₁₃	1	4	yes	—
909	C₄×D₄	C₂³×C₁₃	1	8	yes	—
910	C₄×D₄	C₂³×C₁₃	1	8	yes	—
911	C₄×D₄	C₂³×C₁₃	1	8	yes	—
912	C₄×D₄	C₂³×C₁₃	1	8	yes	—
913	C₄×D₄	C₂³×C₁₃	1	8	yes	—
914	C₄×D₄	C₂³×C₁₃	1	4	yes	—
915	C₄×D₄	C₂³×C₁₃	1	2	yes	—
916	C₄×D₄	C₂³×C₁₃	1	4	yes	—
917	C₄×D₄	C₂³×C₁₃	1	4	yes	—
918	C₄×D₄	C₂³×C₁₃	1	8	yes	—
919	C₄×D₄	C₂³×C₁₃	1	8	yes	—
920	C₄×D₄	C₂³×C₁₃	1	4	yes	—
921	#117	C₂³×C₁₃	1	2	yes	—
922	#117	C₂³×C₁₃	1	1	yes	characteristic
923	#117	C₂³×C₁₃	1	4	yes	—
924	#117	C₂³×C₁₃	1	4	yes	—
925	#117	C₂³×C₁₃	1	4	yes	—
926	#117	C₂³×C₁₃	1	4	yes	—
927	#117	C₂³×C₁₃	1	2	yes	—
928	#117	C₂³×C₁₃	1	4	yes	—
929	#117	C₂³×C₁₃	1	8	yes	—
930	#117	C₂³×C₁₃	1	8	yes	—
931	#117	C₂³×C₁₃	1	8	yes	—
932	#117	C₂³×C₁₃	1	8	yes	—
933	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
934	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
935	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
936	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
937	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
938	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
939	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
940	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
941	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
942	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
943	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
944	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
945	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
946	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
947	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
948	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
949	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
950	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
951	C₂×C₁₃	—	2	4	no	—
952	C₂×C₁₃	—	4	1	no	—
953	C₂×C₁₃	—	4	8	no	—
954	C₂×C₁₃	—	4	4	no	—
955	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
956	C₂×C₁₃	H(7,𝔽₂)	1	2	yes	—
957	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
958	#41	—	2	4	no	—
959	#41	—	8	8	no	—
960	#41	—	8	8	no	—
961	#41	—	8	8	no	—
962	#41	—	8	4	no	—
963	C₂×Q₈	—	8	4	no	—
964	C₂×Q₈	—	8	8	no	—
965	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
967	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
968	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
969	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
970	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
971	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
972	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
973	C₂×D₄	—	2	16	no	—
974	C₂×D₄	—	8	8	no	—
975	C₂×D₄	—	8	4	no	—
976	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
977	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
978	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
979	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
980	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
981	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
982	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
983	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
984	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
985	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
986	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
987	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
988	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
989	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
990	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂²×C₄	—	8	8	no	—
992	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
993	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
994	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
995	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
996	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
997	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
998	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
999	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1000	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1001	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1002	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1003	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1004	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1005	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1006	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1007	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1008	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1009	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1010	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1011	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1012	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1013	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1014	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1015	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1016	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1017	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1018	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1019	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1020	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1021	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1022	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1023	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1024	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1025	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1026	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1027	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1028	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1029	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1030	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1031	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1032	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1033	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1034	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1035	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1036	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1037	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1038	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1039	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1040	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1041	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1042	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1043	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1044	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1045	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1046	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1047	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1048	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1049	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1050	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1051	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1052	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1053	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1054	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1055	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1056	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1057	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1058	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1059	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1060	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1061	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1062	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1063	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1064	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1065	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1066	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1067	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1068	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1069	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1070	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1071	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1072	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1073	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1074	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1075	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1076	C₄²	C₂⁴×C₁₃	1	2	yes	—
1077	C₄²	C₂⁴×C₁₃	1	4	yes	—
1078	C₄²	C₂⁴×C₁₃	1	4	yes	—
1079	C₄²	C₂⁴×C₁₃	1	2	yes	—
1080	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1081	C₄²	C₂⁴×C₁₃	1	4	yes	—
1082	C₄²	C₂⁴×C₁₃	1	4	yes	—
1083	C₄²	C₂⁴×C₁₃	1	4	yes	—
1084	C₄²	C₂⁴×C₁₃	1	8	yes	—
1085	C₄²	C₂⁴×C₁₃	1	8	yes	—
1086	C₄²	C₂⁴×C₁₃	1	8	yes	—
1087	C₁₃	#63054	1	1	yes	characteristic, direct product factor, Sylow
1088	C₂³	—	2	16	no	—
1089	C₂³	—	4	8	no	—
1090	C₂³	—	4	8	no	—
1091	C₂³	C₂⁵×C₁₃	1	4	yes	—
1092	C₂³	C₂⁵×C₁₃	1	8	yes	—
1093	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1094	C₂³	C₂⁵×C₁₃	1	2	yes	—
1095	Q₈	—	2	2	no	—
1096	Q₈	—	4	8	no	—
1097	Q₈	—	4	4	no	—
1098	Q₈	—	4	2	no	—
1099	Q₈	—	4	8	no	—
1100	Q₈	—	4	8	no	—
1101	Q₈	—	4	4	no	—
1102	Q₈	—	4	4	no	—
1103	D₄	—	2	16	no	—
1104	D₄	—	2	4	no	—
1105	D₄	—	2	8	no	—
1106	D₄	—	4	4	no	—
1107	D₄	—	4	2	no	—
1108	D₄	—	4	8	no	—
1109	D₄	—	4	8	no	—
1110	D₄	—	4	8	no	—
1111	D₄	—	4	4	no	—
1112	D₄	—	4	8	no	—
1113	D₄	—	4	4	no	—
1114	D₄	—	4	4	no	—
1115	D₄	—	4	8	no	—
1116	D₄	—	4	8	no	—
1117	D₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1118	C₂×C₄	—	2	4	no	—
1119	C₂×C₄	—	2	8	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	4	4	no	—
1122	C₂×C₄	—	4	8	no	—
1123	C₂×C₄	—	4	8	no	—
1124	C₂×C₄	—	4	8	no	—
1125	C₂×C₄	—	4	8	no	—
1126	C₂×C₄	—	4	8	no	—
1127	C₂×C₄	—	4	4	no	—
1128	C₂×C₄	—	4	8	no	—
1129	C₂×C₄	—	4	8	no	—
1130	C₂×C₄	—	4	4	no	—
1131	C₂×C₄	—	4	8	no	—
1132	C₂×C₄	—	4	8	no	—
1133	C₂×C₄	—	4	2	no	—
1134	C₂×C₄	—	4	4	no	—
1135	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1136	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1137	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1138	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1139	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1140	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1141	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1142	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1143	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1144	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1145	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1146	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1147	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1148	C₂²	—	2	4	no	—
1149	C₂²	—	2	1	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	8	no	—
1152	C₂²	—	2	8	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	4	no	—
1155	C₂²	—	2	8	no	—
1156	C₂²	—	2	4	no	—
1157	C₂²	—	8	16	no	—
1158	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	4	yes	—
1159	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1160	C₄	—	2	1	no	—
1161	C₄	—	2	4	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	4	no	—
1164	C₄	—	2	8	no	—
1165	C₄	—	2	2	no	—
1166	C₄	—	2	8	no	—
1167	C₄	—	2	4	no	—
1168	C₄	—	2	4	no	—
1169	C₄	—	2	2	no	—
1170	C₄	—	2	4	no	—
1171	C₄	—	2	4	no	—
1172	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1173	C₂	—	2	4	no	—
1174	C₂	—	4	4	no	—
1175	C₂	—	4	8	no	—
1176	C₂	—	4	1	no	—
1177	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1178	C₂	C₁₃×H(7,𝔽₂)	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×#3565	C₂	semidirect
2. C₁₃×#3561	C₂	semidirect
3. C₁₃×#3559	C₂	semidirect
4. C₁₃×#3554	C₂	semidirect
5. C₁₃×#3553	C₂	semidirect
6. C₁₃×#3548	C₂	semidirect
7. C₁₃×#3547	C₂	semidirect
8. C₁₃×#3541	C₂	semidirect
9. C₁₃×#3536	C₂	semidirect
10. C₁₃×#3535	C₂	semidirect
11. C₁₃×#3531	C₂	semidirect
12. C₂×C₁₃×#562	C₂	semidirect
13. C₁₃×#3519	C₂	semidirect
14. C₁₃×#3514	C₂	semidirect
15. C₁₃×#3513	C₂	semidirect
16. C₁₃×#3504	C₂	semidirect
17. C₁₃×#3501	C₂	semidirect
18. C₁₃×#564	C₂²	semidirect
19. C₁₃×#563	C₂²	semidirect
20. C₁₃×#563	C₂²	semidirect
21. C₁₃×#563	C₂²	semidirect
22. C₁₃×#563	C₂²	semidirect
23. C₁₃×#563	C₂²	semidirect
25. C₁₃×#562	C₂²	semidirect
26. C₁₃×#562	C₂²	semidirect
27. C₁₃×#562	C₂²	semidirect
28. C₁₃×#562	C₂²	semidirect
29. C₁₃×#562	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#562	C₂²	semidirect
33. C₁₃×#562	C₂²	semidirect
34. C₁₃×#559	C₂²	semidirect
35. C₁₃×#559	C₂²	semidirect
36. C₁₃×#557	C₂²	semidirect
37. C₁₃×#556	C₂²	semidirect
38. C₁₃×#556	C₂²	semidirect
39. C₁₃×#555	C₂²	semidirect
40. C₁₃×#555	C₂²	semidirect
43. C₁₃×#554	C₂²	semidirect
44. C₁₃×#554	C₂²	semidirect
45. C₁₃×#554	C₂²	semidirect
46. C₁₃×#554	C₂²	semidirect
47. C₁₃×#554	C₂²	semidirect
48. C₁₃×#554	C₂²	semidirect
49. C₁₃×#554	C₂²	semidirect
50. C₁₃×#553	C₂²	semidirect
51. C₁₃×#553	C₂²	semidirect
52. C₁₃×#553	C₂²	semidirect
53. C₁₃×#553	C₂²	semidirect
54. C₁₃×#553	C₂²	semidirect
55. C₁₃×#552	C₂²	semidirect
56. C₁₃×#552	C₂²	semidirect
57. C₁₃×#552	C₂²	semidirect
58. C₁₃×#551	C₂²	semidirect
59. C₁₃×#551	C₂²	semidirect
60. C₁₃×#551	C₂²	semidirect
61. C₁₃×#550	C₂²	semidirect
63. D₄×Q₈×C₁₃	C₂²	semidirect
64. D₄×Q₈×C₁₃	C₂²	semidirect
65. C₁₃×#548	C₂²	semidirect
66. C₁₃×#548	C₂²	semidirect
67. C₁₃×#548	C₂²	semidirect
68. C₁₃×#547	C₂²	semidirect
69. C₁₃×#547	C₂²	semidirect
70. C₁₃×#547	C₂²	semidirect
71. C₁₃×#547	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
80. C₁₃×#544	C₂²	semidirect
81. C₁₃×#544	C₂²	semidirect
82. C₁₃×#544	C₂²	semidirect
83. C₁₃×#544	C₂²	semidirect
84. C₁₃×#543	C₂²	semidirect
85. C₁₃×#543	C₂²	semidirect
86. C₁₃×#542	C₂²	semidirect
87. C₁₃×#542	C₂²	semidirect
88. C₁₃×#542	C₂²	semidirect
89. C₁₃×#542	C₂²	semidirect
90. C₁₃×#542	C₂²	semidirect
91. C₁₃×#542	C₂²	semidirect
92. C₁₃×#542	C₂²	semidirect
93. C₁₃×#541	C₂²	semidirect
94. C₁₃×#540	C₂²	semidirect
95. C₁₃×#540	C₂²	semidirect
96. C₁₃×#540	C₂²	semidirect
97. C₁₃×#539	C₂²	semidirect
98. C₁₃×#539	C₂²	semidirect
99. C₁₃×#539	C₂²	semidirect
100. C₁₃×#539	C₂²	semidirect
101. C₁₃×#539	C₂²	semidirect
102. C₁₃×#539	C₂²	semidirect
103. C₁₃×#538	C₂²	semidirect
104. C₁₃×#538	C₂²	semidirect
105. C₁₃×#538	C₂²	semidirect
106. C₁₃×#538	C₂²	semidirect
107. C₁₃×#537	C₂²	semidirect
108. C₁₃×#537	C₂²	semidirect
109. C₁₃×#537	C₂²	semidirect
110. C₁₃×#536	C₂²	semidirect
111. C₁₃×#536	C₂²	semidirect
112. C₁₃×#533	C₂²	semidirect
113. C₁₃×#533	C₂²	semidirect
114. C₁₃×#533	C₂²	semidirect
115. C₁₃×#533	C₂²	semidirect
116. C₁₃×#532	C₂²	semidirect
117. C₁₃×#532	C₂²	semidirect
118. C₁₃×#529	C₂²	semidirect
119. C₁₃×#529	C₂²	semidirect
120. C₁₃×#529	C₂²	semidirect
121. C₁₃×#529	C₂²	semidirect
122. C₁₃×#529	C₂²	semidirect
123. C₂×C₁₃×#125	C₂²	semidirect
124. C₂×C₁₃×#125	C₂²	semidirect
125. C₂×C₁₃×#124	C₂²	semidirect
126. C₁₃×#525	C₂²	semidirect
127. C₁₃×#525	C₂²	semidirect
128. C₂×C₁₃×#123	C₂²	semidirect
129. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
130. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
131. C₂×C₁₃×#121	C₂²	semidirect
368. #63054	C₁₃	direct (N × H)
499. #3565	C₂×C₁₃	semidirect
500. #3561	C₂×C₁₃	semidirect
501. #3559	C₂×C₁₃	semidirect
502. #3554	C₂×C₁₃	semidirect
503. #3553	C₂×C₁₃	semidirect
504. #3548	C₂×C₁₃	semidirect
505. #3547	C₂×C₁₃	semidirect
506. #3541	C₂×C₁₃	semidirect
507. #3536	C₂×C₁₃	semidirect
508. #3535	C₂×C₁₃	semidirect
509. #3531	C₂×C₁₃	semidirect
510. C₂×#562	C₂×C₁₃	semidirect
511. #3519	C₂×C₁₃	semidirect
512. #3514	C₂×C₁₃	semidirect
513. #3513	C₂×C₁₃	semidirect
514. #3504	C₂×C₁₃	semidirect
515. #3501	C₂×C₁₃	semidirect
576. #564	C₂²×C₁₃	semidirect
577. #563	C₂²×C₁₃	semidirect
578. #563	C₂²×C₁₃	semidirect
579. #563	C₂²×C₁₃	semidirect
580. #563	C₂²×C₁₃	semidirect
581. #563	C₂²×C₁₃	semidirect
583. #562	C₂²×C₁₃	semidirect
584. #562	C₂²×C₁₃	semidirect
585. #562	C₂²×C₁₃	semidirect
586. #562	C₂²×C₁₃	semidirect
587. #562	C₂²×C₁₃	semidirect
588. #562	C₂²×C₁₃	semidirect
589. #562	C₂²×C₁₃	semidirect
590. #562	C₂²×C₁₃	semidirect
591. #562	C₂²×C₁₃	semidirect
592. #559	C₂²×C₁₃	semidirect
593. #559	C₂²×C₁₃	semidirect
594. #557	C₂²×C₁₃	semidirect
595. #556	C₂²×C₁₃	semidirect
596. #556	C₂²×C₁₃	semidirect
597. #555	C₂²×C₁₃	semidirect
598. #555	C₂²×C₁₃	semidirect
601. #554	C₂²×C₁₃	semidirect
602. #554	C₂²×C₁₃	semidirect
603. #554	C₂²×C₁₃	semidirect
604. #554	C₂²×C₁₃	semidirect
605. #554	C₂²×C₁₃	semidirect
606. #554	C₂²×C₁₃	semidirect
607. #554	C₂²×C₁₃	semidirect
608. #553	C₂²×C₁₃	semidirect
609. #553	C₂²×C₁₃	semidirect
610. #553	C₂²×C₁₃	semidirect
611. #553	C₂²×C₁₃	semidirect
612. #553	C₂²×C₁₃	semidirect
613. #552	C₂²×C₁₃	semidirect
614. #552	C₂²×C₁₃	semidirect
615. #552	C₂²×C₁₃	semidirect
616. #551	C₂²×C₁₃	semidirect
617. #551	C₂²×C₁₃	semidirect
618. #551	C₂²×C₁₃	semidirect
619. #550	C₂²×C₁₃	semidirect
621. D₄×Q₈	C₂²×C₁₃	semidirect
622. D₄×Q₈	C₂²×C₁₃	semidirect
623. #548	C₂²×C₁₃	semidirect
624. #548	C₂²×C₁₃	semidirect
625. #548	C₂²×C₁₃	semidirect
626. #547	C₂²×C₁₃	semidirect
627. #547	C₂²×C₁₃	semidirect
628. #547	C₂²×C₁₃	semidirect
629. #547	C₂²×C₁₃	semidirect
631. #546	C₂²×C₁₃	semidirect
632. #546	C₂²×C₁₃	semidirect
633. #546	C₂²×C₁₃	semidirect
634. #546	C₂²×C₁₃	semidirect
635. #546	C₂²×C₁₃	semidirect
638. #544	C₂²×C₁₃	semidirect
639. #544	C₂²×C₁₃	semidirect
640. #544	C₂²×C₁₃	semidirect
641. #544	C₂²×C₁₃	semidirect
642. #543	C₂²×C₁₃	semidirect
643. #543	C₂²×C₁₃	semidirect
644. #542	C₂²×C₁₃	semidirect
645. #542	C₂²×C₁₃	semidirect
646. #542	C₂²×C₁₃	semidirect
647. #542	C₂²×C₁₃	semidirect
648. #542	C₂²×C₁₃	semidirect
649. #542	C₂²×C₁₃	semidirect
650. #542	C₂²×C₁₃	semidirect
651. #541	C₂²×C₁₃	semidirect
652. #540	C₂²×C₁₃	semidirect
653. #540	C₂²×C₁₃	semidirect
654. #540	C₂²×C₁₃	semidirect
655. #539	C₂²×C₁₃	semidirect
656. #539	C₂²×C₁₃	semidirect
657. #539	C₂²×C₁₃	semidirect
658. #539	C₂²×C₁₃	semidirect
659. #539	C₂²×C₁₃	semidirect
660. #539	C₂²×C₁₃	semidirect
661. #538	C₂²×C₁₃	semidirect
662. #538	C₂²×C₁₃	semidirect
663. #538	C₂²×C₁₃	semidirect
664. #538	C₂²×C₁₃	semidirect
665. #537	C₂²×C₁₃	semidirect
666. #537	C₂²×C₁₃	semidirect
667. #537	C₂²×C₁₃	semidirect
668. #536	C₂²×C₁₃	semidirect
669. #536	C₂²×C₁₃	semidirect
670. #533	C₂²×C₁₃	semidirect
671. #533	C₂²×C₁₃	semidirect
672. #533	C₂²×C₁₃	semidirect
673. #533	C₂²×C₁₃	semidirect
674. #532	C₂²×C₁₃	semidirect
675. #532	C₂²×C₁₃	semidirect
676. #529	C₂²×C₁₃	semidirect
677. #529	C₂²×C₁₃	semidirect
678. #529	C₂²×C₁₃	semidirect
679. #529	C₂²×C₁₃	semidirect
680. #529	C₂²×C₁₃	semidirect
681. C₂×#125	C₂²×C₁₃	semidirect
682. C₂×#125	C₂²×C₁₃	semidirect
683. C₂×#124	C₂²×C₁₃	semidirect
684. #525	C₂²×C₁₃	semidirect
685. #525	C₂²×C₁₃	semidirect
686. C₂×#123	C₂²×C₁₃	semidirect
687. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
688. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
689. C₂×#121	C₂²×C₁₃	semidirect
1087. C₁₃	#63054	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3565	2
C₁₃×#3561	2
C₁₃×#3559	2
C₁₃×#3554	2
C₁₃×#3553	2
C₁₃×#3548	2
C₁₃×#3547	2
C₁₃×#3541	2
C₁₃×#3536	2
C₁₃×#3535	2
C₁₃×#3531	2
C₂×C₁₃×#562	2
C₁₃×#3519	2
C₁₃×#3514	2
C₁₃×#3513	2
C₁₃×#3504	2
C₁₃×#3501	2
#63054	13

Subgroups — C13×#63054 #15749393

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#63054 #15749393