Subgroups — C₁₃×#62922 #15749261

Order 3328.

7072 conjugacy classes of subgroups.

The subgroup lattice has 1366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	6	yes	maximal, complemented
2	C₁₃×#3552	C₂	1	3	yes	maximal, complemented
3	C₁₃×#3551	C₂	1	6	yes	maximal, complemented
4	C₁₃×#3548	C₂	1	3	yes	maximal, complemented
5	C₁₃×#3546	C₂	1	3	yes	maximal, complemented
6	C₁₃×#3546	C₂	1	3	yes	maximal, complemented
7	C₁₃×#3541	C₂	1	6	yes	maximal, complemented
8	C₁₃×#3539	C₂	1	6	yes	maximal, complemented
9	C₁₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3520	C₂	1	3	yes	maximal, complemented
11	C₁₃×#3517	C₂	1	3	yes	maximal, complemented
12	C₁₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3516	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3511	C₂	1	3	yes	maximal, complemented
15	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3497	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3489	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3487	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
22	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3460	C₂	1	3	yes	maximal, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
25	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×#41	C₂²	1	2	yes	—
27	C₁₃×#563	C₂²	1	12	yes	complemented
28	C₁₃×#562	C₂²	1	12	yes	complemented
29	C₁₃×#560	C₂²	1	12	yes	complemented
30	C₁₃×#560	C₂²	1	12	yes	complemented
31	C₁₃×#559	C₂²	1	3	yes	complemented
32	C₁₃×#557	C₂²	1	3	yes	complemented
33	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#556	C₂²	1	3	yes	—
36	C₁₃×#556	C₂²	1	3	yes	complemented
37	C₁₃×#556	C₂²	1	3	yes	complemented
38	C₁₃×#556	C₂²	1	6	yes	complemented
39	C₁₃×#555	C₂²	1	6	yes	complemented
40	C₁₃×#554	C₂²	1	6	yes	complemented
41	C₁₃×#554	C₂²	1	6	yes	complemented
42	C₁₃×#554	C₂²	1	6	yes	complemented
43	C₁₃×#553	C₂²	1	3	yes	complemented
44	C₁₃×#553	C₂²	1	6	yes	complemented
45	C₁₃×#553	C₂²	1	12	yes	complemented
46	C₁₃×#553	C₂²	1	6	yes	complemented
47	C₁₃×#553	C₂²	1	6	yes	complemented
48	C₁₃×#553	C₂²	1	6	yes	complemented
49	C₁₃×#553	C₂²	1	3	yes	complemented
50	C₁₃×#553	C₂²	1	6	yes	complemented
51	C₁₃×#552	C₂²	1	6	yes	complemented
52	C₁₃×#552	C₂²	1	6	yes	complemented
53	C₁₃×#552	C₂²	1	6	yes	complemented
54	C₁₃×#551	C₂²	1	12	yes	complemented
55	C₁₃×#550	C₂²	1	1	yes	characteristic
56	C₁₃×#550	C₂²	1	1	yes	characteristic
57	C₁₃×#550	C₂²	1	6	yes	complemented
58	C₁₃×#550	C₂²	1	6	yes	complemented
59	C₁₃×#550	C₂²	1	6	yes	complemented
60	C₁₃×#550	C₂²	1	3	yes	complemented
61	C₁₃×#550	C₂²	1	3	yes	complemented
62	C₁₃×#550	C₂²	1	6	yes	complemented
63	C₁₃×#550	C₂²	1	2	yes	complemented
64	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
65	D₄×Q₈×C₁₃	C₂²	1	3	yes	complemented
66	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
67	D₄×Q₈×C₁₃	C₂²	1	6	yes	complemented
68	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
69	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
70	C₁₃×#548	C₂²	1	2	yes	—
71	C₁₃×#548	C₂²	1	1	yes	characteristic
72	C₁₃×#548	C₂²	1	2	yes	—
73	C₁₃×#548	C₂²	1	6	yes	complemented
74	C₁₃×#548	C₂²	1	6	yes	complemented
75	C₁₃×#548	C₂²	1	6	yes	complemented
76	C₁₃×#548	C₂²	1	6	yes	complemented
77	C₁₃×#548	C₂²	1	6	yes	complemented
78	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#548	C₂²	1	2	yes	complemented
80	C₁₃×#547	C₂²	1	3	yes	—
81	C₁₃×#547	C₂²	1	3	yes	—
82	C₁₃×#547	C₂²	1	3	yes	complemented
83	C₁₃×#547	C₂²	1	6	yes	complemented
84	C₁₃×#547	C₂²	1	6	yes	complemented
85	C₁₃×#547	C₂²	1	6	yes	complemented
86	C₁₃×#547	C₂²	1	3	yes	complemented
87	C₁₃×#547	C₂²	1	3	yes	complemented
88	C₁₃×#546	C₂²	1	6	yes	—
89	C₁₃×#546	C₂²	1	6	yes	—
90	C₁₃×#546	C₂²	1	6	yes	complemented
91	C₁₃×#546	C₂²	1	6	yes	complemented
92	D₄²×C₁₃	C₂²	1	3	yes	—
93	C₁₃×#544	C₂²	1	3	yes	complemented
94	C₁₃×#542	C₂²	1	3	yes	—
95	C₁₃×#542	C₂²	1	6	yes	complemented
96	C₁₃×#542	C₂²	1	6	yes	complemented
97	C₁₃×#542	C₂²	1	6	yes	complemented
98	C₁₃×#542	C₂²	1	3	yes	complemented
99	C₁₃×#541	C₂²	1	6	yes	complemented
100	C₁₃×#541	C₂²	1	6	yes	complemented
101	C₁₃×#540	C₂²	1	1	yes	characteristic
102	C₁₃×#540	C₂²	1	6	yes	complemented
103	C₁₃×#540	C₂²	1	12	yes	complemented
104	C₁₃×#540	C₂²	1	6	yes	complemented
105	C₁₃×#540	C₂²	1	12	yes	complemented
106	C₁₃×#540	C₂²	1	3	yes	complemented
107	C₁₃×#539	C₂²	1	12	yes	complemented
108	C₁₃×#539	C₂²	1	12	yes	complemented
109	C₁₃×#538	C₂²	1	12	yes	complemented
110	C₁₃×#538	C₂²	1	12	yes	complemented
111	C₁₃×#538	C₂²	1	6	yes	complemented
112	C₁₃×#538	C₂²	1	6	yes	complemented
113	C₁₃×#537	C₂²	1	6	yes	complemented
114	C₁₃×#537	C₂²	1	6	yes	complemented
115	C₁₃×#537	C₂²	1	6	yes	complemented
116	C₁₃×#537	C₂²	1	6	yes	complemented
117	C₁₃×#537	C₂²	1	3	yes	complemented
118	C₁₃×#537	C₂²	1	6	yes	complemented
119	C₁₃×#536	C₂²	1	6	yes	complemented
120	C₁₃×#536	C₂²	1	6	yes	complemented
121	C₁₃×#535	C₂²	1	3	yes	—
122	C₁₃×#535	C₂²	1	3	yes	—
123	C₁₃×#535	C₂²	1	6	yes	complemented
124	C₁₃×#535	C₂²	1	6	yes	complemented
125	C₁₃×#533	C₂²	1	3	yes	complemented
126	C₁₃×#533	C₂²	1	3	yes	complemented
127	C₁₃×#532	C₂²	1	3	yes	—
128	C₁₃×#532	C₂²	1	3	yes	—
129	C₁₃×#532	C₂²	1	3	yes	complemented
130	C₁₃×#532	C₂²	1	3	yes	complemented
131	C₁₃×#532	C₂²	1	3	yes	complemented
132	C₁₃×#532	C₂²	1	3	yes	complemented
133	C₁₃×#532	C₂²	1	6	yes	complemented
134	C₁₃×#532	C₂²	1	6	yes	complemented
135	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	complemented
136	C₁₃×#529	C₂²	1	3	yes	—
137	C₁₃×#529	C₂²	1	3	yes	complemented
138	C₁₃×#529	C₂²	1	3	yes	complemented
139	C₁₃×#529	C₂²	1	6	yes	complemented
140	C₁₃×#529	C₂²	1	6	yes	complemented
141	C₁₃×#529	C₂²	1	3	yes	complemented
142	C₁₃×#529	C₂²	1	6	yes	complemented
143	C₁₃×#525	C₂²	1	6	yes	—
144	C₁₃×#525	C₂²	1	6	yes	complemented
145	C₁₃×#525	C₂²	1	6	yes	complemented
146	C₁₃×#525	C₂²	1	6	yes	complemented
147	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	6	yes	complemented
148	C₁₃×#520	C₂²	1	6	yes	complemented
149	C₁₃×#520	C₂²	1	2	yes	complemented
150	C₁₃×#519	C₂²	1	2	yes	complemented
151	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
152	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
153	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
154	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
155	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
157	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	—
158	C₁₃×2₋¹⁺⁴	—	4	8	no	—
159	C₁₃×2₋¹⁺⁴	—	4	8	no	—
160	C₂×C₁₃×#41	—	4	8	no	—
161	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×#41	C₂³	1	2	yes	—
164	C₂×C₁₃×#41	C₂³	1	3	yes	—
165	C₂×C₁₃×#41	C₂³	1	3	yes	—
166	C₂×C₁₃×#41	C₂³	1	6	yes	—
167	C₂×C₁₃×#41	C₂³	1	6	yes	—
168	C₂×C₁₃×#41	C₂³	1	6	yes	—
169	C₂×C₁₃×#41	C₂³	1	6	yes	—
170	C₂×C₁₃×#41	C₂³	1	6	yes	—
171	C₂×C₁₃×#41	C₂³	1	6	yes	—
172	C₂×C₁₃×#41	C₂³	1	6	yes	—
173	C₂×C₁₃×#41	C₂³	1	6	yes	—
174	C₂×C₁₃×#41	C₂³	1	6	yes	—
175	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
176	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
177	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
178	C₂²×Q₈×C₁₃	C₂³	1	6	yes	—
179	C₂²×Q₈×C₁₃	C₂³	1	6	yes	—
180	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
181	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
182	C₂³×C₄×C₁₃	C₂³	1	6	yes	—
183	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
184	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
185	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
186	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
187	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
188	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
189	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
190	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
191	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
192	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
193	C₁₃×#127	C₂³	1	1	yes	characteristic
194	C₁₃×#127	C₂³	1	3	yes	—
195	C₁₃×#127	C₂³	1	3	yes	—
196	C₁₃×#127	C₂³	1	6	yes	—
197	C₁₃×#127	C₂³	1	3	yes	—
198	C₁₃×#127	C₂³	1	6	yes	—
199	C₁₃×#127	C₂³	1	12	yes	—
200	C₁₃×#126	C₂³	1	6	yes	—
201	C₁₃×#126	C₂³	1	6	yes	—
202	C₁₃×#126	C₂³	1	12	yes	—
203	C₁₃×#126	C₂³	1	6	yes	—
204	C₁₃×#126	C₂³	1	6	yes	—
205	C₁₃×#126	C₂³	1	6	yes	—
206	C₁₃×#126	C₂³	1	6	yes	—
207	C₁₃×#126	C₂³	1	12	yes	—
208	C₁₃×#126	C₂³	1	12	yes	—
209	C₁₃×#126	C₂³	1	12	yes	—
210	C₁₃×#125	C₂³	1	3	yes	—
211	C₁₃×#125	C₂³	1	1	yes	characteristic
212	C₁₃×#125	C₂³	1	3	yes	—
213	C₁₃×#125	C₂³	1	6	yes	—
214	C₁₃×#125	C₂³	1	6	yes	—
215	C₁₃×#125	C₂³	1	3	yes	—
216	C₁₃×#125	C₂³	1	6	yes	—
217	C₁₃×#125	C₂³	1	6	yes	—
218	C₁₃×#125	C₂³	1	12	yes	—
219	C₁₃×#125	C₂³	1	12	yes	—
220	C₁₃×#124	C₂³	1	3	yes	—
221	C₁₃×#124	C₂³	1	6	yes	—
222	C₁₃×#124	C₂³	1	3	yes	—
223	C₁₃×#124	C₂³	1	3	yes	—
224	C₁₃×#124	C₂³	1	6	yes	—
225	C₁₃×#124	C₂³	1	6	yes	—
226	C₁₃×#124	C₂³	1	3	yes	—
227	C₁₃×#124	C₂³	1	6	yes	—
228	C₁₃×#124	C₂³	1	6	yes	—
229	C₁₃×#124	C₂³	1	6	yes	—
230	C₁₃×#124	C₂³	1	6	yes	—
231	C₁₃×#124	C₂³	1	6	yes	—
232	C₁₃×#124	C₂³	1	6	yes	—
233	C₁₃×#124	C₂³	1	12	yes	—
234	C₁₃×#123	C₂³	1	12	yes	—
235	C₁₃×#123	C₂³	1	6	yes	—
236	C₁₃×#123	C₂³	1	2	yes	—
237	C₁₃×#123	C₂³	1	6	yes	—
238	C₁₃×#123	C₂³	1	6	yes	—
239	C₁₃×#123	C₂³	1	6	yes	—
240	C₁₃×#123	C₂³	1	2	yes	—
241	C₁₃×#123	C₂³	1	6	yes	—
242	C₁₃×#123	C₂³	1	6	yes	—
243	C₁₃×#123	C₂³	1	12	yes	—
244	C₁₃×#123	C₂³	1	6	yes	—
245	C₁₃×#123	C₂³	1	6	yes	—
246	C₁₃×#123	C₂³	1	12	yes	—
247	C₁₃×#123	C₂³	1	12	yes	—
248	C₁₃×#123	C₂³	1	12	yes	—
249	C₁₃×#123	C₂³	1	12	yes	—
250	C₁₃×#123	C₂³	1	12	yes	—
251	C₁₃×#123	C₂³	1	12	yes	—
252	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
261	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
262	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
263	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
267	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
268	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
270	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
271	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
272	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
273	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
274	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
275	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
276	C₁₃×#121	C₂³	1	6	yes	—
277	C₁₃×#121	C₂³	1	6	yes	—
278	C₁₃×#121	C₂³	1	2	yes	—
279	C₁₃×#121	C₂³	1	3	yes	—
280	C₁₃×#121	C₂³	1	6	yes	—
281	C₁₃×#121	C₂³	1	6	yes	—
282	C₁₃×#121	C₂³	1	6	yes	—
283	C₁₃×#121	C₂³	1	6	yes	—
284	C₁₃×#121	C₂³	1	1	yes	characteristic
285	C₁₃×#121	C₂³	1	3	yes	—
286	C₁₃×#121	C₂³	1	6	yes	—
287	C₁₃×#121	C₂³	1	3	yes	—
288	C₁₃×#121	C₂³	1	6	yes	—
289	C₁₃×#121	C₂³	1	6	yes	—
290	C₁₃×#121	C₂³	1	3	yes	—
291	C₁₃×#121	C₂³	1	3	yes	—
292	C₁₃×#121	C₂³	1	6	yes	—
293	C₁₃×#121	C₂³	1	6	yes	—
294	C₁₃×#121	C₂³	1	6	yes	—
295	C₁₃×#121	C₂³	1	3	yes	—
296	C₁₃×#121	C₂³	1	1	yes	characteristic
297	C₁₃×#121	C₂³	1	2	yes	—
298	C₁₃×#121	C₂³	1	6	yes	—
299	C₁₃×#121	C₂³	1	6	yes	—
300	C₁₃×#121	C₂³	1	6	yes	—
301	C₁₃×#121	C₂³	1	6	yes	—
302	C₁₃×#121	C₂³	1	6	yes	—
303	C₁₃×#121	C₂³	1	3	yes	—
304	C₁₃×#121	C₂³	1	3	yes	—
305	C₁₃×#121	C₂³	1	12	yes	—
306	C₁₃×#121	C₂³	1	6	yes	—
307	C₁₃×#121	C₂³	1	6	yes	—
308	C₁₃×#121	C₂³	1	6	yes	—
309	C₁₃×#121	C₂³	1	12	yes	—
310	C₁₃×#121	C₂³	1	12	yes	—
311	C₁₃×#121	C₂³	1	12	yes	—
312	C₁₃×#121	C₂³	1	12	yes	—
313	C₁₃×#121	C₂³	1	12	yes	—
314	C₁₃×#121	C₂³	1	12	yes	—
315	C₁₃×#121	C₂³	1	12	yes	—
316	C₁₃×#121	C₂³	1	12	yes	—
317	C₁₃×#120	C₂³	1	12	yes	—
318	C₁₃×#120	C₂³	1	6	yes	—
319	C₁₃×#120	C₂³	1	6	yes	—
320	C₁₃×#120	C₂³	1	6	yes	—
321	C₁₃×#120	C₂³	1	6	yes	—
322	C₁₃×#120	C₂³	1	12	yes	—
323	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
324	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
325	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
326	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
327	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
328	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
329	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
330	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
331	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
332	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
334	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
335	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
336	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
337	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
338	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
339	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
340	C₄×D₄×C₁₃	C₂³	1	3	yes	—
341	C₄×D₄×C₁₃	C₂³	1	6	yes	—
342	C₄×D₄×C₁₃	C₂³	1	3	yes	—
343	C₄×D₄×C₁₃	C₂³	1	6	yes	—
344	C₄×D₄×C₁₃	C₂³	1	3	yes	—
345	C₄×D₄×C₁₃	C₂³	1	3	yes	—
346	C₄×D₄×C₁₃	C₂³	1	3	yes	—
347	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
348	C₄×D₄×C₁₃	C₂³	1	3	yes	—
349	C₄×D₄×C₁₃	C₂³	1	6	yes	—
350	C₄×D₄×C₁₃	C₂³	1	3	yes	—
351	C₄×D₄×C₁₃	C₂³	1	6	yes	—
352	C₄×D₄×C₁₃	C₂³	1	3	yes	—
353	C₄×D₄×C₁₃	C₂³	1	3	yes	—
354	C₄×D₄×C₁₃	C₂³	1	3	yes	—
355	C₄×D₄×C₁₃	C₂³	1	3	yes	—
356	C₄×D₄×C₁₃	C₂³	1	3	yes	—
357	C₄×D₄×C₁₃	C₂³	1	3	yes	—
358	C₄×D₄×C₁₃	C₂³	1	3	yes	—
359	C₄×D₄×C₁₃	C₂³	1	12	yes	—
360	C₄×D₄×C₁₃	C₂³	1	6	yes	—
361	C₄×D₄×C₁₃	C₂³	1	6	yes	—
362	C₄×D₄×C₁₃	C₂³	1	12	yes	—
363	C₄×D₄×C₁₃	C₂³	1	6	yes	—
364	C₄×D₄×C₁₃	C₂³	1	6	yes	—
365	C₄×D₄×C₁₃	C₂³	1	6	yes	—
366	C₄×D₄×C₁₃	C₂³	1	6	yes	—
367	C₄×D₄×C₁₃	C₂³	1	6	yes	—
368	C₄×D₄×C₁₃	C₂³	1	6	yes	—
369	C₄×D₄×C₁₃	C₂³	1	12	yes	—
370	C₄×D₄×C₁₃	C₂³	1	6	yes	—
371	C₄×D₄×C₁₃	C₂³	1	12	yes	—
372	C₄×D₄×C₁₃	C₂³	1	6	yes	—
373	C₄×D₄×C₁₃	C₂³	1	6	yes	—
374	C₄×D₄×C₁₃	C₂³	1	12	yes	—
375	C₁₃×#117	C₂³	1	3	yes	—
376	C₁₃×#117	C₂³	1	1	yes	characteristic
377	C₁₃×#117	C₂³	1	3	yes	—
378	C₁₃×#117	C₂³	1	3	yes	—
379	C₁₃×#117	C₂³	1	3	yes	—
380	C₁₃×#117	C₂³	1	3	yes	—
381	C₁₃×#117	C₂³	1	6	yes	—
382	C₁₃×#117	C₂³	1	6	yes	—
383	C₁₃×#117	C₂³	1	6	yes	—
384	C₁₃×#117	C₂³	1	6	yes	—
385	C₁₃×#117	C₂³	1	12	yes	—
386	C₁₃×#117	C₂³	1	6	yes	—
387	C₁₃×#117	C₂³	1	6	yes	—
388	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
389	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
390	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
391	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
392	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
393	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
394	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
395	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
396	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	yes	—
397	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
398	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
399	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
400	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
401	#62922	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
402	C₂⁴×C₁₃	C₂⁴	1	6	yes	—
403	C₁₃×#41	—	2	4	no	—
404	C₁₃×#41	—	2	8	no	—
405	C₁₃×#41	—	2	4	no	—
406	C₁₃×#41	—	4	6	no	—
407	C₁₃×#41	—	4	12	no	—
408	C₁₃×#41	—	4	12	no	—
409	C₁₃×#41	—	4	12	no	—
410	C₁₃×#41	—	4	12	no	—
411	C₁₃×#41	—	4	6	no	—
412	C₁₃×#41	—	4	12	no	—
413	C₁₃×#41	—	4	12	no	—
414	C₁₃×#41	—	4	12	no	—
415	C₁₃×#41	—	4	12	no	—
416	C₁₃×#41	—	4	12	no	—
417	C₂×Q₈×C₁₃	—	2	8	no	—
418	C₂×Q₈×C₁₃	—	2	4	no	—
419	C₂×Q₈×C₁₃	—	2	8	no	—
420	C₂×Q₈×C₁₃	—	4	12	no	—
421	C₂×Q₈×C₁₃	—	4	12	no	—
422	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
423	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
424	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
425	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
426	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
427	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
428	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
429	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
430	C₂×D₄×C₁₃	—	4	6	no	—
431	C₂×D₄×C₁₃	—	4	12	no	—
432	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
434	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
436	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
437	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
438	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
439	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
440	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
441	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
442	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
443	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
444	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
445	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
446	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
447	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
448	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
449	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
450	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
451	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
452	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
453	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
454	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
455	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
456	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
457	C₂²×C₄×C₁₃	—	4	12	no	—
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
460	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
461	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
462	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
463	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
464	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
465	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
466	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
467	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
468	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
469	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
470	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
471	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
472	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
473	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
474	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
475	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
476	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
477	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
478	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
479	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
480	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
481	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
482	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
483	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
484	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
485	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
486	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
488	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
489	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
491	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
492	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
493	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
494	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
495	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
496	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
497	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
498	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
499	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
500	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
501	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
502	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
503	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
504	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
505	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
506	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
507	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
508	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
509	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
510	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
511	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
512	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
513	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
514	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
515	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
516	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
517	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
518	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
519	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
520	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
521	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
522	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
523	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
524	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
525	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
526	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
527	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
528	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
529	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
530	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
531	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
532	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
533	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
534	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
535	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
536	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
537	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
538	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
539	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
540	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
541	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
542	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
543	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
544	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₄²×C₁₃	C₂⁴	1	3	yes	—
547	C₄²×C₁₃	C₂⁴	1	3	yes	—
548	C₄²×C₁₃	C₂⁴	1	3	yes	—
549	C₄²×C₁₃	C₂⁴	1	6	yes	—
550	C₄²×C₁₃	C₂⁴	1	3	yes	—
551	C₄²×C₁₃	C₂⁴	1	6	yes	—
552	C₄²×C₁₃	C₂⁴	1	3	yes	—
553	C₄²×C₁₃	C₂⁴	1	3	yes	—
554	C₄²×C₁₃	C₂⁴	1	3	yes	—
555	C₄²×C₁₃	C₂⁴	1	6	yes	—
556	C₄²×C₁₃	C₂⁴	1	3	yes	—
557	C₄²×C₁₃	C₂⁴	1	12	yes	—
558	#3562	C₂×C₁₃	1	6	yes	complemented
559	#3552	C₂×C₁₃	1	3	yes	complemented
560	#3551	C₂×C₁₃	1	6	yes	complemented
561	#3548	C₂×C₁₃	1	3	yes	complemented
562	#3546	C₂×C₁₃	1	3	yes	complemented
563	#3546	C₂×C₁₃	1	3	yes	complemented
564	#3541	C₂×C₁₃	1	6	yes	complemented
565	#3539	C₂×C₁₃	1	6	yes	complemented
566	#3523	C₂×C₁₃	1	1	yes	characteristic, complemented
567	#3520	C₂×C₁₃	1	3	yes	complemented
568	#3517	C₂×C₁₃	1	3	yes	complemented
569	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
570	#3516	C₂×C₁₃	1	2	yes	complemented
571	#3511	C₂×C₁₃	1	3	yes	complemented
572	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
573	#3497	C₂×C₁₃	1	2	yes	complemented
574	#3497	C₂×C₁₃	1	1	yes	characteristic, complemented
575	#3489	C₂×C₁₃	1	2	yes	complemented
576	#3487	C₂×C₁₃	1	2	yes	complemented
577	#3482	C₂×C₁₃	1	1	yes	characteristic, complemented
578	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
579	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
580	#3460	C₂×C₁₃	1	3	yes	complemented
581	C₂³×C₁₃	—	4	6	no	—
582	C₂³×C₁₃	—	4	6	no	—
583	C₂³×C₁₃	—	4	6	no	—
584	C₂³×C₁₃	C₂⁵	1	2	yes	—
585	C₂³×C₁₃	C₂⁵	1	3	yes	—
586	C₂³×C₁₃	C₂⁵	1	6	yes	—
587	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
588	C₂³×C₁₃	C₂⁵	1	2	yes	—
589	C₂³×C₁₃	C₂⁵	1	3	yes	—
590	Q₈×C₁₃	—	2	6	no	—
591	Q₈×C₁₃	—	2	12	no	—
592	Q₈×C₁₃	—	2	12	no	—
593	Q₈×C₁₃	—	2	6	no	—
594	Q₈×C₁₃	—	4	6	no	—
595	Q₈×C₁₃	—	4	6	no	—
596	Q₈×C₁₃	—	4	3	no	—
597	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
598	D₄×C₁₃	—	2	6	no	—
599	D₄×C₁₃	—	2	12	no	—
600	D₄×C₁₃	—	2	6	no	—
601	D₄×C₁₃	—	2	2	no	—
602	D₄×C₁₃	—	2	6	no	—
603	D₄×C₁₃	—	2	2	no	—
604	D₄×C₁₃	—	4	6	no	—
605	D₄×C₁₃	—	4	12	no	—
606	D₄×C₁₃	—	4	2	no	—
607	D₄×C₁₃	—	4	6	no	—
608	D₄×C₁₃	—	4	2	no	—
609	D₄×C₁₃	—	4	6	no	—
610	D₄×C₁₃	—	4	6	no	—
611	D₄×C₁₃	—	4	6	no	—
612	D₄×C₁₃	—	4	3	no	—
613	D₄×C₁₃	—	4	3	no	—
614	D₄×C₁₃	—	4	3	no	—
615	D₄×C₁₃	—	4	12	no	—
616	D₄×C₁₃	—	4	6	no	—
617	D₄×C₁₃	—	4	2	no	—
618	D₄×C₁₃	—	4	2	no	—
619	D₄×C₁₃	—	4	6	no	—
620	D₄×C₁₃	—	4	6	no	—
621	D₄×C₁₃	—	4	6	no	—
622	D₄×C₁₃	—	4	6	no	—
623	C₂×C₄×C₁₃	—	2	6	no	—
624	C₂×C₄×C₁₃	—	2	12	no	—
625	C₂×C₄×C₁₃	—	2	12	no	—
626	C₂×C₄×C₁₃	—	2	6	no	—
627	C₂×C₄×C₁₃	—	2	12	no	—
628	C₂×C₄×C₁₃	—	2	6	no	—
629	C₂×C₄×C₁₃	—	2	6	no	—
630	C₂×C₄×C₁₃	—	2	6	no	—
631	C₂×C₄×C₁₃	—	2	2	no	—
632	C₂×C₄×C₁₃	—	4	2	no	—
633	C₂×C₄×C₁₃	—	4	6	no	—
634	C₂×C₄×C₁₃	—	4	6	no	—
635	C₂×C₄×C₁₃	—	4	3	no	—
636	C₂×C₄×C₁₃	—	4	2	no	—
637	C₂×C₄×C₁₃	—	4	3	no	—
638	C₂×C₄×C₁₃	—	4	3	no	—
639	C₂×C₄×C₁₃	—	4	12	no	—
640	C₂×C₄×C₁₃	—	4	12	no	—
641	C₂×C₄×C₁₃	—	4	12	no	—
642	C₂×C₄×C₁₃	—	4	6	no	—
643	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
644	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
645	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
646	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
647	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
648	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
649	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
650	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
651	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
652	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
653	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
654	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
655	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
656	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
657	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
658	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
659	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
660	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
661	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
662	C₂²×#41	C₂²×C₁₃	1	2	yes	—
663	#563	C₂²×C₁₃	1	12	yes	complemented
664	#562	C₂²×C₁₃	1	12	yes	complemented
665	#560	C₂²×C₁₃	1	12	yes	complemented
666	#560	C₂²×C₁₃	1	12	yes	complemented
667	#559	C₂²×C₁₃	1	3	yes	complemented
668	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
669	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	#557	C₂²×C₁₃	1	3	yes	complemented
671	#556	C₂²×C₁₃	1	3	yes	—
672	#556	C₂²×C₁₃	1	3	yes	complemented
673	#556	C₂²×C₁₃	1	3	yes	complemented
674	#556	C₂²×C₁₃	1	6	yes	complemented
675	#555	C₂²×C₁₃	1	6	yes	complemented
676	#554	C₂²×C₁₃	1	6	yes	complemented
677	#554	C₂²×C₁₃	1	6	yes	complemented
678	#554	C₂²×C₁₃	1	6	yes	complemented
679	#553	C₂²×C₁₃	1	3	yes	complemented
680	#553	C₂²×C₁₃	1	3	yes	complemented
681	#553	C₂²×C₁₃	1	6	yes	complemented
682	#553	C₂²×C₁₃	1	6	yes	complemented
683	#553	C₂²×C₁₃	1	6	yes	complemented
684	#553	C₂²×C₁₃	1	12	yes	complemented
685	#553	C₂²×C₁₃	1	6	yes	complemented
686	#553	C₂²×C₁₃	1	6	yes	complemented
687	#552	C₂²×C₁₃	1	6	yes	complemented
688	#552	C₂²×C₁₃	1	6	yes	complemented
689	#552	C₂²×C₁₃	1	6	yes	complemented
690	#551	C₂²×C₁₃	1	12	yes	complemented
691	#550	C₂²×C₁₃	1	1	yes	characteristic
692	#550	C₂²×C₁₃	1	1	yes	characteristic
693	#550	C₂²×C₁₃	1	2	yes	complemented
694	#550	C₂²×C₁₃	1	6	yes	complemented
695	#550	C₂²×C₁₃	1	6	yes	complemented
696	#550	C₂²×C₁₃	1	3	yes	complemented
697	#550	C₂²×C₁₃	1	6	yes	complemented
698	#550	C₂²×C₁₃	1	3	yes	complemented
699	#550	C₂²×C₁₃	1	6	yes	complemented
700	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
701	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
703	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
704	D₄×Q₈	C₂²×C₁₃	1	3	yes	complemented
705	D₄×Q₈	C₂²×C₁₃	1	6	yes	complemented
706	#548	C₂²×C₁₃	1	2	yes	—
707	#548	C₂²×C₁₃	1	1	yes	characteristic
708	#548	C₂²×C₁₃	1	2	yes	—
709	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#548	C₂²×C₁₃	1	2	yes	complemented
711	#548	C₂²×C₁₃	1	6	yes	complemented
712	#548	C₂²×C₁₃	1	6	yes	complemented
713	#548	C₂²×C₁₃	1	6	yes	complemented
714	#548	C₂²×C₁₃	1	6	yes	complemented
715	#548	C₂²×C₁₃	1	6	yes	complemented
716	#547	C₂²×C₁₃	1	3	yes	—
717	#547	C₂²×C₁₃	1	3	yes	—
718	#547	C₂²×C₁₃	1	3	yes	complemented
719	#547	C₂²×C₁₃	1	6	yes	complemented
720	#547	C₂²×C₁₃	1	6	yes	complemented
721	#547	C₂²×C₁₃	1	3	yes	complemented
722	#547	C₂²×C₁₃	1	6	yes	complemented
723	#547	C₂²×C₁₃	1	3	yes	complemented
724	#546	C₂²×C₁₃	1	6	yes	—
725	#546	C₂²×C₁₃	1	6	yes	—
726	#546	C₂²×C₁₃	1	6	yes	complemented
727	#546	C₂²×C₁₃	1	6	yes	complemented
728	D₄²	C₂²×C₁₃	1	3	yes	—
729	#544	C₂²×C₁₃	1	3	yes	complemented
730	#542	C₂²×C₁₃	1	3	yes	—
731	#542	C₂²×C₁₃	1	3	yes	complemented
732	#542	C₂²×C₁₃	1	6	yes	complemented
733	#542	C₂²×C₁₃	1	6	yes	complemented
734	#542	C₂²×C₁₃	1	6	yes	complemented
735	#541	C₂²×C₁₃	1	6	yes	complemented
736	#541	C₂²×C₁₃	1	6	yes	complemented
737	#540	C₂²×C₁₃	1	1	yes	characteristic
738	#540	C₂²×C₁₃	1	3	yes	complemented
739	#540	C₂²×C₁₃	1	6	yes	complemented
740	#540	C₂²×C₁₃	1	6	yes	complemented
741	#540	C₂²×C₁₃	1	12	yes	complemented
742	#540	C₂²×C₁₃	1	12	yes	complemented
743	#539	C₂²×C₁₃	1	12	yes	complemented
744	#539	C₂²×C₁₃	1	12	yes	complemented
745	#538	C₂²×C₁₃	1	6	yes	complemented
746	#538	C₂²×C₁₃	1	6	yes	complemented
747	#538	C₂²×C₁₃	1	12	yes	complemented
748	#538	C₂²×C₁₃	1	12	yes	complemented
749	#537	C₂²×C₁₃	1	3	yes	complemented
750	#537	C₂²×C₁₃	1	6	yes	complemented
751	#537	C₂²×C₁₃	1	6	yes	complemented
752	#537	C₂²×C₁₃	1	6	yes	complemented
753	#537	C₂²×C₁₃	1	6	yes	complemented
754	#537	C₂²×C₁₃	1	6	yes	complemented
755	#536	C₂²×C₁₃	1	6	yes	complemented
756	#536	C₂²×C₁₃	1	6	yes	complemented
757	#535	C₂²×C₁₃	1	3	yes	—
758	#535	C₂²×C₁₃	1	3	yes	—
759	#535	C₂²×C₁₃	1	6	yes	complemented
760	#535	C₂²×C₁₃	1	6	yes	complemented
761	#533	C₂²×C₁₃	1	3	yes	complemented
762	#533	C₂²×C₁₃	1	3	yes	complemented
763	#532	C₂²×C₁₃	1	3	yes	—
764	#532	C₂²×C₁₃	1	3	yes	—
765	#532	C₂²×C₁₃	1	3	yes	complemented
766	#532	C₂²×C₁₃	1	6	yes	complemented
767	#532	C₂²×C₁₃	1	3	yes	complemented
768	#532	C₂²×C₁₃	1	3	yes	complemented
769	#532	C₂²×C₁₃	1	6	yes	complemented
770	#532	C₂²×C₁₃	1	3	yes	complemented
771	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	complemented
772	#529	C₂²×C₁₃	1	3	yes	—
773	#529	C₂²×C₁₃	1	6	yes	complemented
774	#529	C₂²×C₁₃	1	3	yes	complemented
775	#529	C₂²×C₁₃	1	3	yes	complemented
776	#529	C₂²×C₁₃	1	3	yes	complemented
777	#529	C₂²×C₁₃	1	6	yes	complemented
778	#529	C₂²×C₁₃	1	6	yes	complemented
779	#525	C₂²×C₁₃	1	6	yes	—
780	#525	C₂²×C₁₃	1	6	yes	complemented
781	#525	C₂²×C₁₃	1	6	yes	complemented
782	#525	C₂²×C₁₃	1	6	yes	complemented
783	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	6	yes	complemented
784	#520	C₂²×C₁₃	1	2	yes	complemented
785	#520	C₂²×C₁₃	1	6	yes	complemented
786	#519	C₂²×C₁₃	1	2	yes	complemented
787	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
788	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
789	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
790	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
793	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	—
794	C₂²×C₁₃	—	2	2	no	—
795	C₂²×C₁₃	—	2	1	no	—
796	C₂²×C₁₃	—	2	2	no	—
797	C₂²×C₁₃	—	2	3	no	—
798	C₂²×C₁₃	—	2	6	no	—
799	C₂²×C₁₃	—	2	3	no	—
800	C₂²×C₁₃	—	2	1	no	—
801	C₂²×C₁₃	—	2	3	no	—
802	C₂²×C₁₃	—	2	3	no	—
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	2	6	no	—
805	C₂²×C₁₃	—	2	2	no	—
806	C₂²×C₁₃	—	2	1	no	—
807	C₂²×C₁₃	—	2	2	no	—
808	C₂²×C₁₃	—	2	3	no	—
809	C₂²×C₁₃	—	2	3	no	—
810	C₂²×C₁₃	—	2	6	no	—
811	C₂²×C₁₃	—	2	2	no	—
812	C₂²×C₁₃	—	8	12	no	—
813	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
814	C₄×C₁₃	—	2	1	no	—
815	C₄×C₁₃	—	2	2	no	—
816	C₄×C₁₃	—	2	1	no	—
817	C₄×C₁₃	—	2	6	no	—
818	C₄×C₁₃	—	2	6	no	—
819	C₄×C₁₃	—	2	3	no	—
820	C₄×C₁₃	—	2	3	no	—
821	C₄×C₁₃	—	2	3	no	—
822	C₄×C₁₃	—	2	1	no	—
823	C₄×C₁₃	—	2	6	no	—
824	C₄×C₁₃	—	2	1	no	—
825	C₄×C₁₃	—	2	3	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	—	2	2	no	—
828	C₄×C₁₃	—	2	3	no	—
829	C₄×C₁₃	C₂×H(5,𝔽₂)	1	6	yes	—
830	C₄×C₁₃	#585	1	2	yes	—
831	2₋¹⁺⁴	—	4	8	no	—
832	2₋¹⁺⁴	—	4	8	no	—
833	C₂×#41	—	4	8	no	—
834	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
836	C₂×#41	C₂³×C₁₃	1	2	yes	—
837	C₂×#41	C₂³×C₁₃	1	3	yes	—
838	C₂×#41	C₂³×C₁₃	1	3	yes	—
839	C₂×#41	C₂³×C₁₃	1	6	yes	—
840	C₂×#41	C₂³×C₁₃	1	6	yes	—
841	C₂×#41	C₂³×C₁₃	1	6	yes	—
842	C₂×#41	C₂³×C₁₃	1	6	yes	—
843	C₂×#41	C₂³×C₁₃	1	6	yes	—
844	C₂×#41	C₂³×C₁₃	1	6	yes	—
845	C₂×#41	C₂³×C₁₃	1	6	yes	—
846	C₂×#41	C₂³×C₁₃	1	6	yes	—
847	C₂×#41	C₂³×C₁₃	1	6	yes	—
848	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
850	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
851	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
852	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
853	C₂²×D₄	C₂³×C₁₃	1	3	yes	—
854	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
855	C₂³×C₄	C₂³×C₁₃	1	6	yes	—
856	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
857	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
858	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
859	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
860	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
861	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
862	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
863	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
864	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
865	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
866	#127	C₂³×C₁₃	1	1	yes	characteristic
867	#127	C₂³×C₁₃	1	3	yes	—
868	#127	C₂³×C₁₃	1	3	yes	—
869	#127	C₂³×C₁₃	1	6	yes	—
870	#127	C₂³×C₁₃	1	3	yes	—
871	#127	C₂³×C₁₃	1	6	yes	—
872	#127	C₂³×C₁₃	1	12	yes	—
873	#126	C₂³×C₁₃	1	6	yes	—
874	#126	C₂³×C₁₃	1	6	yes	—
875	#126	C₂³×C₁₃	1	12	yes	—
876	#126	C₂³×C₁₃	1	6	yes	—
877	#126	C₂³×C₁₃	1	6	yes	—
878	#126	C₂³×C₁₃	1	6	yes	—
879	#126	C₂³×C₁₃	1	6	yes	—
880	#126	C₂³×C₁₃	1	12	yes	—
881	#126	C₂³×C₁₃	1	12	yes	—
882	#126	C₂³×C₁₃	1	12	yes	—
883	#125	C₂³×C₁₃	1	3	yes	—
884	#125	C₂³×C₁₃	1	1	yes	characteristic
885	#125	C₂³×C₁₃	1	3	yes	—
886	#125	C₂³×C₁₃	1	6	yes	—
887	#125	C₂³×C₁₃	1	6	yes	—
888	#125	C₂³×C₁₃	1	3	yes	—
889	#125	C₂³×C₁₃	1	6	yes	—
890	#125	C₂³×C₁₃	1	6	yes	—
891	#125	C₂³×C₁₃	1	12	yes	—
892	#125	C₂³×C₁₃	1	12	yes	—
893	#124	C₂³×C₁₃	1	3	yes	—
894	#124	C₂³×C₁₃	1	6	yes	—
895	#124	C₂³×C₁₃	1	3	yes	—
896	#124	C₂³×C₁₃	1	3	yes	—
897	#124	C₂³×C₁₃	1	6	yes	—
898	#124	C₂³×C₁₃	1	6	yes	—
899	#124	C₂³×C₁₃	1	3	yes	—
900	#124	C₂³×C₁₃	1	6	yes	—
901	#124	C₂³×C₁₃	1	6	yes	—
902	#124	C₂³×C₁₃	1	6	yes	—
903	#124	C₂³×C₁₃	1	6	yes	—
904	#124	C₂³×C₁₃	1	6	yes	—
905	#124	C₂³×C₁₃	1	6	yes	—
906	#124	C₂³×C₁₃	1	12	yes	—
907	#123	C₂³×C₁₃	1	12	yes	—
908	#123	C₂³×C₁₃	1	6	yes	—
909	#123	C₂³×C₁₃	1	2	yes	—
910	#123	C₂³×C₁₃	1	6	yes	—
911	#123	C₂³×C₁₃	1	6	yes	—
912	#123	C₂³×C₁₃	1	6	yes	—
913	#123	C₂³×C₁₃	1	2	yes	—
914	#123	C₂³×C₁₃	1	6	yes	—
915	#123	C₂³×C₁₃	1	6	yes	—
916	#123	C₂³×C₁₃	1	12	yes	—
917	#123	C₂³×C₁₃	1	6	yes	—
918	#123	C₂³×C₁₃	1	6	yes	—
919	#123	C₂³×C₁₃	1	12	yes	—
920	#123	C₂³×C₁₃	1	12	yes	—
921	#123	C₂³×C₁₃	1	12	yes	—
922	#123	C₂³×C₁₃	1	12	yes	—
923	#123	C₂³×C₁₃	1	12	yes	—
924	#123	C₂³×C₁₃	1	12	yes	—
925	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
926	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
927	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
928	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
929	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
930	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
931	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
932	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
933	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
934	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
935	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
936	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
937	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
938	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
939	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
940	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
941	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
942	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
943	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
944	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
945	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
946	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
947	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
948	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
949	#121	C₂³×C₁₃	1	6	yes	—
950	#121	C₂³×C₁₃	1	6	yes	—
951	#121	C₂³×C₁₃	1	2	yes	—
952	#121	C₂³×C₁₃	1	3	yes	—
953	#121	C₂³×C₁₃	1	6	yes	—
954	#121	C₂³×C₁₃	1	6	yes	—
955	#121	C₂³×C₁₃	1	6	yes	—
956	#121	C₂³×C₁₃	1	6	yes	—
957	#121	C₂³×C₁₃	1	1	yes	characteristic
958	#121	C₂³×C₁₃	1	3	yes	—
959	#121	C₂³×C₁₃	1	6	yes	—
960	#121	C₂³×C₁₃	1	3	yes	—
961	#121	C₂³×C₁₃	1	6	yes	—
962	#121	C₂³×C₁₃	1	6	yes	—
963	#121	C₂³×C₁₃	1	3	yes	—
964	#121	C₂³×C₁₃	1	3	yes	—
965	#121	C₂³×C₁₃	1	6	yes	—
966	#121	C₂³×C₁₃	1	6	yes	—
967	#121	C₂³×C₁₃	1	6	yes	—
968	#121	C₂³×C₁₃	1	3	yes	—
969	#121	C₂³×C₁₃	1	1	yes	characteristic
970	#121	C₂³×C₁₃	1	2	yes	—
971	#121	C₂³×C₁₃	1	6	yes	—
972	#121	C₂³×C₁₃	1	6	yes	—
973	#121	C₂³×C₁₃	1	6	yes	—
974	#121	C₂³×C₁₃	1	6	yes	—
975	#121	C₂³×C₁₃	1	6	yes	—
976	#121	C₂³×C₁₃	1	3	yes	—
977	#121	C₂³×C₁₃	1	3	yes	—
978	#121	C₂³×C₁₃	1	12	yes	—
979	#121	C₂³×C₁₃	1	6	yes	—
980	#121	C₂³×C₁₃	1	6	yes	—
981	#121	C₂³×C₁₃	1	6	yes	—
982	#121	C₂³×C₁₃	1	12	yes	—
983	#121	C₂³×C₁₃	1	12	yes	—
984	#121	C₂³×C₁₃	1	12	yes	—
985	#121	C₂³×C₁₃	1	12	yes	—
986	#121	C₂³×C₁₃	1	12	yes	—
987	#121	C₂³×C₁₃	1	12	yes	—
988	#121	C₂³×C₁₃	1	12	yes	—
989	#121	C₂³×C₁₃	1	12	yes	—
990	#120	C₂³×C₁₃	1	12	yes	—
991	#120	C₂³×C₁₃	1	6	yes	—
992	#120	C₂³×C₁₃	1	6	yes	—
993	#120	C₂³×C₁₃	1	6	yes	—
994	#120	C₂³×C₁₃	1	6	yes	—
995	#120	C₂³×C₁₃	1	12	yes	—
996	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
997	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
998	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
999	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1000	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1001	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1002	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1003	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1004	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1005	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1006	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1007	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1008	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1009	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1010	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1011	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1012	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1013	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1014	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1015	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1016	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1017	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1018	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1019	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1020	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1021	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1022	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1023	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1024	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1025	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1026	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1027	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1028	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1029	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1030	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1031	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1032	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1033	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1034	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1035	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1036	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1037	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1038	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1039	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1040	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1041	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1042	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1043	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1044	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1045	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1046	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1047	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1048	#117	C₂³×C₁₃	1	3	yes	—
1049	#117	C₂³×C₁₃	1	1	yes	characteristic
1050	#117	C₂³×C₁₃	1	3	yes	—
1051	#117	C₂³×C₁₃	1	3	yes	—
1052	#117	C₂³×C₁₃	1	3	yes	—
1053	#117	C₂³×C₁₃	1	3	yes	—
1054	#117	C₂³×C₁₃	1	6	yes	—
1055	#117	C₂³×C₁₃	1	6	yes	—
1056	#117	C₂³×C₁₃	1	6	yes	—
1057	#117	C₂³×C₁₃	1	6	yes	—
1058	#117	C₂³×C₁₃	1	12	yes	—
1059	#117	C₂³×C₁₃	1	6	yes	—
1060	#117	C₂³×C₁₃	1	6	yes	—
1061	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1062	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1063	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1064	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1065	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
1066	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1067	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1068	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1069	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
1070	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1071	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1072	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
1073	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1074	C₂×C₁₃	—	4	1	no	—
1075	C₂×C₁₃	—	4	2	no	—
1076	C₂×C₁₃	—	4	3	no	—
1077	C₂×C₁₃	—	4	6	no	—
1078	C₂×C₁₃	—	4	3	no	—
1079	C₂×C₁₃	—	4	2	no	—
1080	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1081	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1082	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1083	C₂⁴	C₂⁴×C₁₃	1	6	yes	—
1084	#41	—	2	4	no	—
1085	#41	—	2	8	no	—
1086	#41	—	2	4	no	—
1087	#41	—	4	12	no	—
1088	#41	—	4	12	no	—
1089	#41	—	4	6	no	—
1090	#41	—	4	12	no	—
1091	#41	—	4	12	no	—
1092	#41	—	4	12	no	—
1093	#41	—	4	12	no	—
1094	#41	—	4	12	no	—
1095	#41	—	4	12	no	—
1096	#41	—	4	6	no	—
1097	#41	—	4	12	no	—
1098	C₂×Q₈	—	2	8	no	—
1099	C₂×Q₈	—	2	4	no	—
1100	C₂×Q₈	—	2	8	no	—
1101	C₂×Q₈	—	4	12	no	—
1102	C₂×Q₈	—	4	12	no	—
1103	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
1104	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
1105	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1106	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1107	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
1108	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1109	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1110	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1111	C₂×D₄	—	4	12	no	—
1112	C₂×D₄	—	4	6	no	—
1113	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1114	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1115	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1117	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1118	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1119	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1120	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1121	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1122	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1123	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1124	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1125	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1126	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1127	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1128	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1129	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
1130	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1131	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1132	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1133	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1134	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1135	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
1136	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1137	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1138	C₂²×C₄	—	4	12	no	—
1139	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1141	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1142	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1143	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1144	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1145	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1146	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1147	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1148	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1149	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1150	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1151	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1152	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1153	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1154	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1155	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1156	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1157	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1158	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1159	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1160	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1161	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1162	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1163	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1164	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1165	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1166	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1167	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1168	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1169	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1170	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1171	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1172	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1173	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1174	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1175	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1176	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1177	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1178	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1179	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1180	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1181	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1182	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1183	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1184	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1185	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1186	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1187	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1188	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1189	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1190	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1191	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1192	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1193	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1194	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1195	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1196	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1197	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1198	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1199	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1200	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1201	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1202	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1203	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1204	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1205	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1206	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1207	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1208	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1209	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1210	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1211	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1212	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1213	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1214	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1215	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1216	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1217	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1218	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1219	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1220	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1221	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1222	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1223	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1224	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1225	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1226	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1227	C₄²	C₂⁴×C₁₃	1	3	yes	—
1228	C₄²	C₂⁴×C₁₃	1	3	yes	—
1229	C₄²	C₂⁴×C₁₃	1	3	yes	—
1230	C₄²	C₂⁴×C₁₃	1	6	yes	—
1231	C₄²	C₂⁴×C₁₃	1	3	yes	—
1232	C₄²	C₂⁴×C₁₃	1	6	yes	—
1233	C₄²	C₂⁴×C₁₃	1	3	yes	—
1234	C₄²	C₂⁴×C₁₃	1	3	yes	—
1235	C₄²	C₂⁴×C₁₃	1	3	yes	—
1236	C₄²	C₂⁴×C₁₃	1	6	yes	—
1237	C₄²	C₂⁴×C₁₃	1	3	yes	—
1238	C₄²	C₂⁴×C₁₃	1	12	yes	—
1239	C₁₃	#62922	1	1	yes	characteristic, direct product factor, Sylow
1240	C₂³	—	4	6	no	—
1241	C₂³	—	4	6	no	—
1242	C₂³	—	4	6	no	—
1243	C₂³	C₂⁵×C₁₃	1	2	yes	—
1244	C₂³	C₂⁵×C₁₃	1	3	yes	—
1245	C₂³	C₂⁵×C₁₃	1	6	yes	—
1246	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1247	C₂³	C₂⁵×C₁₃	1	2	yes	—
1248	C₂³	C₂⁵×C₁₃	1	3	yes	—
1249	Q₈	—	2	6	no	—
1250	Q₈	—	2	12	no	—
1251	Q₈	—	2	12	no	—
1252	Q₈	—	2	6	no	—
1253	Q₈	—	4	6	no	—
1254	Q₈	—	4	6	no	—
1255	Q₈	—	4	3	no	—
1256	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
1257	D₄	—	2	6	no	—
1258	D₄	—	2	12	no	—
1259	D₄	—	2	6	no	—
1260	D₄	—	2	2	no	—
1261	D₄	—	2	6	no	—
1262	D₄	—	2	2	no	—
1263	D₄	—	4	6	no	—
1264	D₄	—	4	12	no	—
1265	D₄	—	4	2	no	—
1266	D₄	—	4	6	no	—
1267	D₄	—	4	2	no	—
1268	D₄	—	4	6	no	—
1269	D₄	—	4	6	no	—
1270	D₄	—	4	6	no	—
1271	D₄	—	4	3	no	—
1272	D₄	—	4	3	no	—
1273	D₄	—	4	3	no	—
1274	D₄	—	4	12	no	—
1275	D₄	—	4	6	no	—
1276	D₄	—	4	2	no	—
1277	D₄	—	4	2	no	—
1278	D₄	—	4	6	no	—
1279	D₄	—	4	6	no	—
1280	D₄	—	4	6	no	—
1281	D₄	—	4	6	no	—
1282	C₂×C₄	—	2	6	no	—
1283	C₂×C₄	—	2	12	no	—
1284	C₂×C₄	—	2	12	no	—
1285	C₂×C₄	—	2	6	no	—
1286	C₂×C₄	—	2	12	no	—
1287	C₂×C₄	—	2	6	no	—
1288	C₂×C₄	—	2	6	no	—
1289	C₂×C₄	—	2	6	no	—
1290	C₂×C₄	—	2	2	no	—
1291	C₂×C₄	—	4	2	no	—
1292	C₂×C₄	—	4	6	no	—
1293	C₂×C₄	—	4	6	no	—
1294	C₂×C₄	—	4	3	no	—
1295	C₂×C₄	—	4	2	no	—
1296	C₂×C₄	—	4	3	no	—
1297	C₂×C₄	—	4	3	no	—
1298	C₂×C₄	—	4	12	no	—
1299	C₂×C₄	—	4	12	no	—
1300	C₂×C₄	—	4	12	no	—
1301	C₂×C₄	—	4	6	no	—
1302	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1303	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1304	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1305	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1306	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1307	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1308	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1309	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1310	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1311	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1312	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1313	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1314	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1315	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1316	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1317	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1318	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	1	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	3	no	—
1323	C₂²	—	2	6	no	—
1324	C₂²	—	2	3	no	—
1325	C₂²	—	2	1	no	—
1326	C₂²	—	2	3	no	—
1327	C₂²	—	2	3	no	—
1328	C₂²	—	2	2	no	—
1329	C₂²	—	2	6	no	—
1330	C₂²	—	2	2	no	—
1331	C₂²	—	2	1	no	—
1332	C₂²	—	2	2	no	—
1333	C₂²	—	2	3	no	—
1334	C₂²	—	2	3	no	—
1335	C₂²	—	2	6	no	—
1336	C₂²	—	2	2	no	—
1337	C₂²	—	8	12	no	—
1338	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1339	C₄	—	2	1	no	—
1340	C₄	—	2	2	no	—
1341	C₄	—	2	1	no	—
1342	C₄	—	2	6	no	—
1343	C₄	—	2	6	no	—
1344	C₄	—	2	3	no	—
1345	C₄	—	2	3	no	—
1346	C₄	—	2	3	no	—
1347	C₄	—	2	1	no	—
1348	C₄	—	2	6	no	—
1349	C₄	—	2	1	no	—
1350	C₄	—	2	3	no	—
1351	C₄	—	2	1	no	—
1352	C₄	—	2	2	no	—
1353	C₄	—	2	3	no	—
1354	C₄	C₂×C₁₃×H(5,𝔽₂)	1	6	yes	—
1355	C₄	C₁₃×#585	1	2	yes	—
1356	C₂	—	4	2	no	—
1357	C₂	—	4	3	no	—
1358	C₂	—	4	6	no	—
1359	C₂	—	4	1	no	—
1360	C₂	—	4	2	no	—
1361	C₂	—	4	3	no	—
1362	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1363	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1364	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×#3562	C₂	semidirect
2. C₁₃×#3552	C₂	semidirect
3. C₁₃×#3551	C₂	semidirect
4. C₁₃×#3548	C₂	semidirect
5. C₁₃×#3546	C₂	semidirect
6. C₁₃×#3546	C₂	semidirect
7. C₁₃×#3541	C₂	semidirect
8. C₁₃×#3539	C₂	semidirect
9. C₁₃×#3523	C₂	semidirect
10. C₁₃×#3520	C₂	semidirect
11. C₁₃×#3517	C₂	semidirect
12. C₁₃×#3517	C₂	semidirect
13. C₁₃×#3516	C₂	semidirect
14. C₁₃×#3511	C₂	semidirect
15. C₁₃×#3499	C₂	semidirect
16. C₁₃×#3497	C₂	semidirect
17. C₁₃×#3497	C₂	semidirect
18. C₁₃×#3489	C₂	semidirect
19. C₁₃×#3487	C₂	semidirect
20. C₁₃×#3482	C₂	semidirect
21. C₁₃×#3480	C₂	semidirect
22. D₄×C₁₃×#41	C₂	semidirect
23. C₁₃×#3460	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#562	C₂²	semidirect
29. C₁₃×#560	C₂²	semidirect
30. C₁₃×#560	C₂²	semidirect
31. C₁₃×#559	C₂²	semidirect
32. C₁₃×#557	C₂²	semidirect
33. C₁₃×#557	C₂²	semidirect
34. C₁₃×#557	C₂²	semidirect
36. C₁₃×#556	C₂²	semidirect
37. C₁₃×#556	C₂²	semidirect
38. C₁₃×#556	C₂²	semidirect
39. C₁₃×#555	C₂²	semidirect
40. C₁₃×#554	C₂²	semidirect
41. C₁₃×#554	C₂²	semidirect
42. C₁₃×#554	C₂²	semidirect
43. C₁₃×#553	C₂²	semidirect
44. C₁₃×#553	C₂²	semidirect
45. C₁₃×#553	C₂²	semidirect
46. C₁₃×#553	C₂²	semidirect
47. C₁₃×#553	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
49. C₁₃×#553	C₂²	semidirect
50. C₁₃×#553	C₂²	semidirect
51. C₁₃×#552	C₂²	semidirect
52. C₁₃×#552	C₂²	semidirect
53. C₁₃×#552	C₂²	semidirect
54. C₁₃×#551	C₂²	semidirect
57. C₁₃×#550	C₂²	semidirect
58. C₁₃×#550	C₂²	semidirect
59. C₁₃×#550	C₂²	semidirect
60. C₁₃×#550	C₂²	semidirect
61. C₁₃×#550	C₂²	semidirect
62. C₁₃×#550	C₂²	semidirect
63. C₁₃×#550	C₂²	semidirect
65. D₄×Q₈×C₁₃	C₂²	semidirect
66. D₄×Q₈×C₁₃	C₂²	semidirect
67. D₄×Q₈×C₁₃	C₂²	semidirect
68. D₄×Q₈×C₁₃	C₂²	semidirect
69. D₄×Q₈×C₁₃	C₂²	semidirect
73. C₁₃×#548	C₂²	semidirect
74. C₁₃×#548	C₂²	semidirect
75. C₁₃×#548	C₂²	semidirect
76. C₁₃×#548	C₂²	semidirect
77. C₁₃×#548	C₂²	semidirect
78. C₁₃×#548	C₂²	semidirect
79. C₁₃×#548	C₂²	semidirect
82. C₁₃×#547	C₂²	semidirect
83. C₁₃×#547	C₂²	semidirect
84. C₁₃×#547	C₂²	semidirect
85. C₁₃×#547	C₂²	semidirect
86. C₁₃×#547	C₂²	semidirect
87. C₁₃×#547	C₂²	semidirect
90. C₁₃×#546	C₂²	semidirect
91. C₁₃×#546	C₂²	semidirect
93. C₁₃×#544	C₂²	semidirect
95. C₁₃×#542	C₂²	semidirect
96. C₁₃×#542	C₂²	semidirect
97. C₁₃×#542	C₂²	semidirect
98. C₁₃×#542	C₂²	semidirect
99. C₁₃×#541	C₂²	semidirect
100. C₁₃×#541	C₂²	semidirect
102. C₁₃×#540	C₂²	semidirect
103. C₁₃×#540	C₂²	semidirect
104. C₁₃×#540	C₂²	semidirect
105. C₁₃×#540	C₂²	semidirect
106. C₁₃×#540	C₂²	semidirect
107. C₁₃×#539	C₂²	semidirect
108. C₁₃×#539	C₂²	semidirect
109. C₁₃×#538	C₂²	semidirect
110. C₁₃×#538	C₂²	semidirect
111. C₁₃×#538	C₂²	semidirect
112. C₁₃×#538	C₂²	semidirect
113. C₁₃×#537	C₂²	semidirect
114. C₁₃×#537	C₂²	semidirect
115. C₁₃×#537	C₂²	semidirect
116. C₁₃×#537	C₂²	semidirect
117. C₁₃×#537	C₂²	semidirect
118. C₁₃×#537	C₂²	semidirect
119. C₁₃×#536	C₂²	semidirect
120. C₁₃×#536	C₂²	semidirect
123. C₁₃×#535	C₂²	semidirect
124. C₁₃×#535	C₂²	semidirect
125. C₁₃×#533	C₂²	semidirect
126. C₁₃×#533	C₂²	semidirect
129. C₁₃×#532	C₂²	semidirect
130. C₁₃×#532	C₂²	semidirect
131. C₁₃×#532	C₂²	semidirect
132. C₁₃×#532	C₂²	semidirect
133. C₁₃×#532	C₂²	semidirect
134. C₁₃×#532	C₂²	semidirect
135. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
137. C₁₃×#529	C₂²	semidirect
138. C₁₃×#529	C₂²	semidirect
139. C₁₃×#529	C₂²	semidirect
140. C₁₃×#529	C₂²	semidirect
141. C₁₃×#529	C₂²	semidirect
142. C₁₃×#529	C₂²	semidirect
144. C₁₃×#525	C₂²	semidirect
145. C₁₃×#525	C₂²	semidirect
146. C₁₃×#525	C₂²	semidirect
147. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
148. C₁₃×#520	C₂²	semidirect
149. C₁₃×#520	C₂²	semidirect
150. C₁₃×#519	C₂²	semidirect
152. C₄×C₁₃×#41	C₂²	semidirect
153. C₄×C₁₃×#41	C₂²	semidirect
154. C₄×C₁₃×#41	C₂²	semidirect
155. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
156. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
401. #62922	C₁₃	direct (N × H)
558. #3562	C₂×C₁₃	semidirect
559. #3552	C₂×C₁₃	semidirect
560. #3551	C₂×C₁₃	semidirect
561. #3548	C₂×C₁₃	semidirect
562. #3546	C₂×C₁₃	semidirect
563. #3546	C₂×C₁₃	semidirect
564. #3541	C₂×C₁₃	semidirect
565. #3539	C₂×C₁₃	semidirect
566. #3523	C₂×C₁₃	semidirect
567. #3520	C₂×C₁₃	semidirect
568. #3517	C₂×C₁₃	semidirect
569. #3517	C₂×C₁₃	semidirect
570. #3516	C₂×C₁₃	semidirect
571. #3511	C₂×C₁₃	semidirect
572. #3499	C₂×C₁₃	semidirect
573. #3497	C₂×C₁₃	semidirect
574. #3497	C₂×C₁₃	semidirect
575. #3489	C₂×C₁₃	semidirect
576. #3487	C₂×C₁₃	semidirect
577. #3482	C₂×C₁₃	semidirect
578. #3480	C₂×C₁₃	semidirect
579. D₄×#41	C₂×C₁₃	semidirect
580. #3460	C₂×C₁₃	semidirect
660. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
661. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
663. #563	C₂²×C₁₃	semidirect
664. #562	C₂²×C₁₃	semidirect
665. #560	C₂²×C₁₃	semidirect
666. #560	C₂²×C₁₃	semidirect
667. #559	C₂²×C₁₃	semidirect
668. #557	C₂²×C₁₃	semidirect
669. #557	C₂²×C₁₃	semidirect
670. #557	C₂²×C₁₃	semidirect
672. #556	C₂²×C₁₃	semidirect
673. #556	C₂²×C₁₃	semidirect
674. #556	C₂²×C₁₃	semidirect
675. #555	C₂²×C₁₃	semidirect
676. #554	C₂²×C₁₃	semidirect
677. #554	C₂²×C₁₃	semidirect
678. #554	C₂²×C₁₃	semidirect
679. #553	C₂²×C₁₃	semidirect
680. #553	C₂²×C₁₃	semidirect
681. #553	C₂²×C₁₃	semidirect
682. #553	C₂²×C₁₃	semidirect
683. #553	C₂²×C₁₃	semidirect
684. #553	C₂²×C₁₃	semidirect
685. #553	C₂²×C₁₃	semidirect
686. #553	C₂²×C₁₃	semidirect
687. #552	C₂²×C₁₃	semidirect
688. #552	C₂²×C₁₃	semidirect
689. #552	C₂²×C₁₃	semidirect
690. #551	C₂²×C₁₃	semidirect
693. #550	C₂²×C₁₃	semidirect
694. #550	C₂²×C₁₃	semidirect
695. #550	C₂²×C₁₃	semidirect
696. #550	C₂²×C₁₃	semidirect
697. #550	C₂²×C₁₃	semidirect
698. #550	C₂²×C₁₃	semidirect
699. #550	C₂²×C₁₃	semidirect
701. D₄×Q₈	C₂²×C₁₃	semidirect
702. D₄×Q₈	C₂²×C₁₃	semidirect
703. D₄×Q₈	C₂²×C₁₃	semidirect
704. D₄×Q₈	C₂²×C₁₃	semidirect
705. D₄×Q₈	C₂²×C₁₃	semidirect
709. #548	C₂²×C₁₃	semidirect
710. #548	C₂²×C₁₃	semidirect
711. #548	C₂²×C₁₃	semidirect
712. #548	C₂²×C₁₃	semidirect
713. #548	C₂²×C₁₃	semidirect
714. #548	C₂²×C₁₃	semidirect
715. #548	C₂²×C₁₃	semidirect
718. #547	C₂²×C₁₃	semidirect
719. #547	C₂²×C₁₃	semidirect
720. #547	C₂²×C₁₃	semidirect
721. #547	C₂²×C₁₃	semidirect
722. #547	C₂²×C₁₃	semidirect
723. #547	C₂²×C₁₃	semidirect
726. #546	C₂²×C₁₃	semidirect
727. #546	C₂²×C₁₃	semidirect
729. #544	C₂²×C₁₃	semidirect
731. #542	C₂²×C₁₃	semidirect
732. #542	C₂²×C₁₃	semidirect
733. #542	C₂²×C₁₃	semidirect
734. #542	C₂²×C₁₃	semidirect
735. #541	C₂²×C₁₃	semidirect
736. #541	C₂²×C₁₃	semidirect
738. #540	C₂²×C₁₃	semidirect
739. #540	C₂²×C₁₃	semidirect
740. #540	C₂²×C₁₃	semidirect
741. #540	C₂²×C₁₃	semidirect
742. #540	C₂²×C₁₃	semidirect
743. #539	C₂²×C₁₃	semidirect
744. #539	C₂²×C₁₃	semidirect
745. #538	C₂²×C₁₃	semidirect
746. #538	C₂²×C₁₃	semidirect
747. #538	C₂²×C₁₃	semidirect
748. #538	C₂²×C₁₃	semidirect
749. #537	C₂²×C₁₃	semidirect
750. #537	C₂²×C₁₃	semidirect
751. #537	C₂²×C₁₃	semidirect
752. #537	C₂²×C₁₃	semidirect
753. #537	C₂²×C₁₃	semidirect
754. #537	C₂²×C₁₃	semidirect
755. #536	C₂²×C₁₃	semidirect
756. #536	C₂²×C₁₃	semidirect
759. #535	C₂²×C₁₃	semidirect
760. #535	C₂²×C₁₃	semidirect
761. #533	C₂²×C₁₃	semidirect
762. #533	C₂²×C₁₃	semidirect
765. #532	C₂²×C₁₃	semidirect
766. #532	C₂²×C₁₃	semidirect
767. #532	C₂²×C₁₃	semidirect
768. #532	C₂²×C₁₃	semidirect
769. #532	C₂²×C₁₃	semidirect
770. #532	C₂²×C₁₃	semidirect
771. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
773. #529	C₂²×C₁₃	semidirect
774. #529	C₂²×C₁₃	semidirect
775. #529	C₂²×C₁₃	semidirect
776. #529	C₂²×C₁₃	semidirect
777. #529	C₂²×C₁₃	semidirect
778. #529	C₂²×C₁₃	semidirect
780. #525	C₂²×C₁₃	semidirect
781. #525	C₂²×C₁₃	semidirect
782. #525	C₂²×C₁₃	semidirect
783. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
784. #520	C₂²×C₁₃	semidirect
785. #520	C₂²×C₁₃	semidirect
786. #519	C₂²×C₁₃	semidirect
788. C₄×#41	C₂²×C₁₃	semidirect
789. C₄×#41	C₂²×C₁₃	semidirect
790. C₄×#41	C₂²×C₁₃	semidirect
791. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
792. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1239. C₁₃	#62922	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3562	2
C₁₃×#3552	2
C₁₃×#3551	2
C₁₃×#3548	2
C₁₃×#3546	2
C₁₃×#3541	2
C₁₃×#3539	2
C₁₃×#3523	2
C₁₃×#3520	2
C₁₃×#3517	2
C₁₃×#3516	2
C₁₃×#3511	2
C₁₃×#3499	2
C₁₃×#3497	2
C₁₃×#3489	2
C₁₃×#3487	2
C₁₃×#3482	2
C₁₃×#3480	2
D₄×C₁₃×#41	2
C₁₃×#3460	2
#62922	13

Subgroups — C13×#62922 #15749261

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62922 #15749261