Subgroups — C₁₃×#62923 #15749262

Order 3328.

7300 conjugacy classes of subgroups.

The subgroup lattice has 1386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3558	C₂	1	6	yes	maximal, complemented
2	C₁₃×#3549	C₂	1	3	yes	maximal, complemented
3	C₁₃×#3547	C₂	1	3	yes	maximal, complemented
4	C₁₃×#3546	C₂	1	3	yes	maximal, complemented
5	C₁₃×#3546	C₂	1	6	yes	maximal, complemented
6	C₁₃×#3543	C₂	1	3	yes	maximal, complemented
7	C₁₃×#3542	C₂	1	6	yes	maximal, complemented
8	C₁₃×#3540	C₂	1	6	yes	maximal, complemented
9	C₁₃×#3524	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3519	C₂	1	3	yes	maximal, complemented
12	C₁₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3514	C₂	1	3	yes	maximal, complemented
14	C₁₃×#3508	C₂	1	3	yes	maximal, complemented
15	C₁₃×#3500	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3498	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3497	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3488	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3487	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3483	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×H(5,𝔽₂)	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
27	C₁₃×#562	C₂²	1	12	yes	complemented
28	C₁₃×H(3,𝔽₄)	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×#559	C₂²	1	6	yes	complemented
33	C₁₃×#559	C₂²	1	6	yes	complemented
34	C₁₃×#559	C₂²	1	3	yes	complemented
35	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#556	C₂²	1	6	yes	complemented
38	C₁₃×#556	C₂²	1	3	yes	complemented
39	C₁₃×#556	C₂²	1	3	yes	complemented
40	C₁₃×#555	C₂²	1	3	yes	complemented
41	C₁₃×#555	C₂²	1	6	yes	complemented
42	C₁₃×#555	C₂²	1	6	yes	complemented
43	C₁₃×#555	C₂²	1	3	yes	complemented
44	C₁₃×#555	C₂²	1	6	yes	complemented
45	C₁₃×#554	C₂²	1	3	yes	complemented
46	C₁₃×#553	C₂²	1	6	yes	complemented
47	C₁₃×#553	C₂²	1	6	yes	complemented
48	C₁₃×#553	C₂²	1	3	yes	complemented
49	C₁₃×#553	C₂²	1	3	yes	complemented
50	C₁₃×#552	C₂²	1	6	yes	complemented
51	C₁₃×#551	C₂²	1	12	yes	complemented
52	C₁₃×#550	C₂²	1	1	yes	characteristic
53	C₁₃×#550	C₂²	1	1	yes	characteristic
54	C₁₃×#550	C₂²	1	3	yes	complemented
55	C₁₃×#550	C₂²	1	2	yes	complemented
56	C₁₃×#550	C₂²	1	6	yes	complemented
57	C₁₃×#550	C₂²	1	3	yes	complemented
58	C₁₃×#550	C₂²	1	6	yes	complemented
59	C₁₃×#550	C₂²	1	6	yes	complemented
60	C₁₃×#550	C₂²	1	2	yes	complemented
61	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
62	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
63	D₄×Q₈×C₁₃	C₂²	1	3	yes	complemented
64	C₁₃×#548	C₂²	1	2	yes	complemented
65	C₁₃×#548	C₂²	1	2	yes	complemented
66	C₁₃×#548	C₂²	1	2	yes	complemented
67	C₁₃×#548	C₂²	1	2	yes	complemented
68	C₁₃×#548	C₂²	1	6	yes	complemented
69	C₁₃×#548	C₂²	1	6	yes	complemented
70	C₁₃×#548	C₂²	1	6	yes	complemented
71	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#547	C₂²	1	6	yes	complemented
74	C₁₃×#547	C₂²	1	3	yes	complemented
75	C₁₃×#546	C₂²	1	12	yes	complemented
76	C₁₃×#546	C₂²	1	6	yes	complemented
77	C₁₃×#546	C₂²	1	6	yes	complemented
78	C₁₃×#546	C₂²	1	6	yes	complemented
79	C₁₃×#546	C₂²	1	6	yes	complemented
80	C₁₃×#546	C₂²	1	6	yes	complemented
81	C₁₃×#546	C₂²	1	6	yes	complemented
82	C₁₃×#546	C₂²	1	6	yes	complemented
83	C₁₃×#546	C₂²	1	6	yes	complemented
84	C₁₃×#546	C₂²	1	6	yes	complemented
85	C₁₃×#546	C₂²	1	6	yes	complemented
86	D₄²×C₁₃	C₂²	1	6	yes	complemented
87	D₄²×C₁₃	C₂²	1	3	yes	complemented
88	D₄²×C₁₃	C₂²	1	6	yes	complemented
89	D₄²×C₁₃	C₂²	1	6	yes	complemented
90	D₄²×C₁₃	C₂²	1	3	yes	complemented
91	D₄²×C₁₃	C₂²	1	6	yes	complemented
92	D₄²×C₁₃	C₂²	1	3	yes	complemented
93	C₁₃×#544	C₂²	1	3	yes	complemented
94	C₁₃×#542	C₂²	1	6	yes	complemented
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	12	yes	complemented
99	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#542	C₂²	1	3	yes	complemented
101	C₁₃×#540	C₂²	1	3	yes	complemented
102	C₁₃×#540	C₂²	1	6	yes	complemented
103	C₁₃×#540	C₂²	1	6	yes	complemented
104	C₁₃×#540	C₂²	1	6	yes	complemented
105	C₁₃×#540	C₂²	1	3	yes	complemented
106	C₁₃×#538	C₂²	1	12	yes	complemented
107	C₁₃×#538	C₂²	1	12	yes	complemented
108	C₁₃×#538	C₂²	1	6	yes	complemented
109	C₁₃×#538	C₂²	1	12	yes	complemented
110	C₁₃×#538	C₂²	1	6	yes	complemented
111	C₁₃×#537	C₂²	1	6	yes	complemented
112	C₁₃×#537	C₂²	1	3	yes	complemented
113	C₁₃×#537	C₂²	1	6	yes	complemented
114	C₁₃×#536	C₂²	1	6	yes	complemented
115	C₁₃×#535	C₂²	1	6	yes	complemented
116	C₁₃×#535	C₂²	1	12	yes	complemented
117	C₁₃×#535	C₂²	1	6	yes	complemented
118	C₁₃×#535	C₂²	1	3	yes	complemented
119	C₁₃×#535	C₂²	1	6	yes	complemented
120	C₁₃×#535	C₂²	1	6	yes	complemented
121	C₁₃×#535	C₂²	1	6	yes	complemented
122	C₁₃×#535	C₂²	1	6	yes	complemented
123	C₁₃×#535	C₂²	1	3	yes	complemented
124	C₁₃×#534	C₂²	1	12	yes	complemented
125	C₁₃×#533	C₂²	1	3	yes	complemented
126	C₁₃×#532	C₂²	1	3	yes	complemented
127	C₁₃×#532	C₂²	1	3	yes	complemented
128	C₁₃×#532	C₂²	1	3	yes	complemented
129	C₁₃×#532	C₂²	1	6	yes	complemented
130	C₁₃×#532	C₂²	1	6	yes	complemented
131	C₁₃×#532	C₂²	1	3	yes	complemented
132	C₁₃×#532	C₂²	1	3	yes	complemented
133	C₁₃×#532	C₂²	1	3	yes	complemented
134	C₁₃×#532	C₂²	1	3	yes	complemented
135	C₂×C₁₃×#127	C₂²	1	3	yes	complemented
136	C₁₃×#529	C₂²	1	3	yes	complemented
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	C₂×C₁₃×#124	C₂²	1	6	yes	complemented
143	C₁₃×#525	C₂²	1	6	yes	complemented
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×#121	C₂²	1	6	yes	complemented
148	C₁₃×#520	C₂²	1	2	yes	complemented
149	C₁₃×#519	C₂²	1	2	yes	complemented
150	C₁₃×#518	C₂²	1	6	yes	complemented
151	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
153	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
154	C₄×C₁₃×#41	C₂²	1	3	yes	complemented
155	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
156	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
157	C₂×C₄×D₄×C₁₃	C₂²	1	3	yes	complemented
158	C₁₃×2₋¹⁺⁴	—	4	8	no	—
159	C₁₃×H(5,𝔽₂)	—	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	2	yes	—
165	C₂×C₁₃×#41	C₂³	1	3	yes	—
166	C₂×C₁₃×#41	C₂³	1	3	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	6	yes	—
178	C₂²×D₄×C₁₃	C₂³	1	3	yes	—
179	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
180	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
181	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
182	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
183	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
184	C₂²×D₄×C₁₃	C₂³	1	12	yes	—
185	C₂²×D₄×C₁₃	C₂³	1	6	yes	—
186	C₂³×C₄×C₁₃	C₂³	1	6	yes	—
187	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
188	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
189	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
190	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
191	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
192	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
193	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
194	C₁₃×#127	C₂³	1	3	yes	—
195	C₁₃×#127	C₂³	1	3	yes	—
196	C₁₃×#127	C₂³	1	3	yes	—
197	C₁₃×#127	C₂³	1	6	yes	—
198	C₁₃×#127	C₂³	1	6	yes	—
199	C₁₃×#127	C₂³	1	6	yes	—
200	C₁₃×#127	C₂³	1	3	yes	—
201	C₁₃×#127	C₂³	1	6	yes	—
202	C₁₃×#127	C₂³	1	3	yes	—
203	C₁₃×#127	C₂³	1	12	yes	—
204	C₁₃×#126	C₂³	1	2	yes	—
205	C₁₃×#126	C₂³	1	6	yes	—
206	C₁₃×#126	C₂³	1	6	yes	—
207	C₁₃×#126	C₂³	1	6	yes	—
208	C₁₃×#126	C₂³	1	6	yes	—
209	C₁₃×#126	C₂³	1	6	yes	—
210	C₁₃×#126	C₂³	1	12	yes	—
211	C₁₃×#126	C₂³	1	12	yes	—
212	C₁₃×#125	C₂³	1	3	yes	—
213	C₁₃×#125	C₂³	1	3	yes	—
214	C₁₃×#125	C₂³	1	3	yes	—
215	C₁₃×#125	C₂³	1	6	yes	—
216	C₁₃×#125	C₂³	1	3	yes	—
217	C₁₃×#124	C₂³	1	3	yes	—
218	C₁₃×#124	C₂³	1	6	yes	—
219	C₁₃×#124	C₂³	1	6	yes	—
220	C₁₃×#124	C₂³	1	12	yes	—
221	C₁₃×#124	C₂³	1	6	yes	—
222	C₁₃×#124	C₂³	1	6	yes	—
223	C₁₃×#124	C₂³	1	1	yes	characteristic
224	C₁₃×#124	C₂³	1	3	yes	—
225	C₁₃×#124	C₂³	1	3	yes	—
226	C₁₃×#124	C₂³	1	6	yes	—
227	C₁₃×#124	C₂³	1	2	yes	—
228	C₁₃×#124	C₂³	1	6	yes	—
229	C₁₃×#124	C₂³	1	6	yes	—
230	C₁₃×#124	C₂³	1	12	yes	—
231	C₁₃×#124	C₂³	1	6	yes	—
232	C₁₃×#124	C₂³	1	6	yes	—
233	C₁₃×#124	C₂³	1	6	yes	—
234	C₁₃×#124	C₂³	1	6	yes	—
235	C₁₃×#124	C₂³	1	12	yes	—
236	C₁₃×#124	C₂³	1	12	yes	—
237	C₁₃×#124	C₂³	1	12	yes	—
238	C₁₃×#123	C₂³	1	6	yes	—
239	C₁₃×#123	C₂³	1	2	yes	—
240	C₁₃×#123	C₂³	1	12	yes	—
241	C₁₃×#123	C₂³	1	6	yes	—
242	C₁₃×#123	C₂³	1	6	yes	—
243	C₁₃×#123	C₂³	1	6	yes	—
244	C₁₃×#123	C₂³	1	6	yes	—
245	C₁₃×#123	C₂³	1	6	yes	—
246	C₁₃×#123	C₂³	1	6	yes	—
247	C₁₃×#123	C₂³	1	6	yes	—
248	C₁₃×#123	C₂³	1	6	yes	—
249	C₁₃×#123	C₂³	1	12	yes	—
250	C₁₃×#123	C₂³	1	12	yes	—
251	C₁₃×#123	C₂³	1	12	yes	—
252	C₁₃×#123	C₂³	1	12	yes	—
253	C₁₃×#123	C₂³	1	12	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	3	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	1	yes	characteristic
263	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
264	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
265	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
266	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
267	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
268	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
269	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
270	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
271	C₁₃×#121	C₂³	1	6	yes	—
272	C₁₃×#121	C₂³	1	3	yes	—
273	C₁₃×#121	C₂³	1	6	yes	—
274	C₁₃×#121	C₂³	1	12	yes	—
275	C₁₃×#121	C₂³	1	6	yes	—
276	C₁₃×#121	C₂³	1	6	yes	—
277	C₁₃×#121	C₂³	1	6	yes	—
278	C₁₃×#121	C₂³	1	6	yes	—
279	C₁₃×#121	C₂³	1	6	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	3	yes	—
284	C₁₃×#121	C₂³	1	6	yes	—
285	C₁₃×#121	C₂³	1	6	yes	—
286	C₁₃×#121	C₂³	1	3	yes	—
287	C₁₃×#121	C₂³	1	3	yes	—
288	C₁₃×#121	C₂³	1	1	yes	characteristic
289	C₁₃×#121	C₂³	1	3	yes	—
290	C₁₃×#121	C₂³	1	12	yes	—
291	C₁₃×#121	C₂³	1	6	yes	—
292	C₁₃×#121	C₂³	1	3	yes	—
293	C₁₃×#121	C₂³	1	6	yes	—
294	C₁₃×#121	C₂³	1	3	yes	—
295	C₁₃×#121	C₂³	1	6	yes	—
296	C₁₃×#121	C₂³	1	6	yes	—
297	C₁₃×#121	C₂³	1	6	yes	—
298	C₁₃×#121	C₂³	1	6	yes	—
299	C₁₃×#121	C₂³	1	6	yes	—
300	C₁₃×#121	C₂³	1	3	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	6	yes	—
305	C₁₃×#121	C₂³	1	6	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×#120	C₂³	1	6	yes	—
316	C₁₃×#120	C₂³	1	12	yes	—
317	C₁₃×#120	C₂³	1	6	yes	—
318	C₁₃×#120	C₂³	1	12	yes	—
319	C₁₃×#120	C₂³	1	6	yes	—
320	C₁₃×#120	C₂³	1	6	yes	—
321	C₁₃×#120	C₂³	1	12	yes	—
322	C₁₃×#120	C₂³	1	12	yes	—
323	C₁₃×#120	C₂³	1	12	yes	—
324	C₁₃×#120	C₂³	1	12	yes	—
325	C₁₃×#120	C₂³	1	12	yes	—
326	C₁₃×#120	C₂³	1	12	yes	—
327	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
328	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
329	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
330	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
331	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
332	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
333	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
334	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
335	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
336	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
337	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
338	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
339	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
340	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
341	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	6	yes	—
347	C₄×D₄×C₁₃	C₂³	1	3	yes	—
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	3	yes	—
352	C₄×D₄×C₁₃	C₂³	1	3	yes	—
353	C₄×D₄×C₁₃	C₂³	1	6	yes	—
354	C₄×D₄×C₁₃	C₂³	1	3	yes	—
355	C₄×D₄×C₁₃	C₂³	1	3	yes	—
356	C₄×D₄×C₁₃	C₂³	1	6	yes	—
357	C₄×D₄×C₁₃	C₂³	1	3	yes	—
358	C₄×D₄×C₁₃	C₂³	1	3	yes	—
359	C₄×D₄×C₁₃	C₂³	1	3	yes	—
360	C₄×D₄×C₁₃	C₂³	1	3	yes	—
361	C₄×D₄×C₁₃	C₂³	1	6	yes	—
362	C₄×D₄×C₁₃	C₂³	1	3	yes	—
363	C₄×D₄×C₁₃	C₂³	1	12	yes	—
364	C₄×D₄×C₁₃	C₂³	1	12	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	6	yes	—
370	C₄×D₄×C₁₃	C₂³	1	6	yes	—
371	C₄×D₄×C₁₃	C₂³	1	6	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	C₄×D₄×C₁₃	C₂³	1	6	yes	—
376	C₄×D₄×C₁₃	C₂³	1	6	yes	—
377	C₁₃×#117	C₂³	1	1	yes	characteristic
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	3	yes	—
382	C₁₃×#117	C₂³	1	6	yes	—
383	C₁₃×#117	C₂³	1	3	yes	—
384	C₁₃×#117	C₂³	1	6	yes	—
385	C₁₃×#117	C₂³	1	6	yes	—
386	C₁₃×#117	C₂³	1	6	yes	—
387	C₁₃×#117	C₂³	1	6	yes	—
388	C₁₃×#117	C₂³	1	6	yes	—
389	C₁₃×#117	C₂³	1	12	yes	—
390	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
391	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
392	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
393	C₂×C₁₃×C₂²⋊C₄	C₂³	1	6	yes	—
394	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	yes	—
395	C₂×C₁₃×C₂²⋊C₄	C₂³	1	12	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	#62923	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
402	C₂⁴×C₁₃	C₂⁴	1	12	yes	—
403	C₂⁴×C₁₃	C₂⁴	1	6	yes	—
404	C₁₃×#41	—	2	4	no	—
405	C₁₃×#41	—	2	8	no	—
406	C₁₃×#41	—	2	4	no	—
407	C₁₃×#41	—	2	8	no	—
408	C₁₃×#41	—	4	6	no	—
409	C₁₃×#41	—	4	12	no	—
410	C₁₃×#41	—	4	12	no	—
411	C₁₃×#41	—	4	12	no	—
412	C₁₃×#41	—	4	12	no	—
413	C₁₃×#41	—	4	6	no	—
414	C₁₃×#41	—	4	12	no	—
415	C₁₃×#41	—	4	12	no	—
416	C₁₃×#41	—	8	6	no	—
417	C₁₃×#41	—	8	6	no	—
418	C₂×Q₈×C₁₃	—	2	8	no	—
419	C₂×Q₈×C₁₃	—	2	4	no	—
420	C₂×Q₈×C₁₃	—	4	12	no	—
421	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
423	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
424	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
425	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
426	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
427	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
428	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
429	C₂×D₄×C₁₃	—	4	12	no	—
430	C₂×D₄×C₁₃	—	4	6	no	—
431	C₂×D₄×C₁₃	—	4	12	no	—
432	C₂×D₄×C₁₃	—	4	12	no	—
433	C₂×D₄×C₁₃	—	4	12	no	—
434	C₂×D₄×C₁₃	—	4	12	no	—
435	C₂×D₄×C₁₃	—	8	6	no	—
436	C₂×D₄×C₁₃	—	8	12	no	—
437	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
438	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
439	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
440	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
441	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
442	C₂×D₄×C₁₃	C₂⁴	1	3	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	3	yes	—
447	C₂×D₄×C₁₃	C₂⁴	1	6	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	6	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	6	yes	—
456	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
457	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
458	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
459	C₂×D₄×C₁₃	C₂⁴	1	12	yes	—
460	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
461	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
462	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
463	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
464	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
465	C₂²×C₄×C₁₃	—	4	12	no	—
466	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
468	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
469	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
470	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
471	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
472	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
473	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
474	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
475	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
476	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
477	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
478	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
479	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
480	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
481	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
482	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
483	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
484	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
485	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
486	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
488	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
489	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
491	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
492	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
493	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
494	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
495	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
496	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
497	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
498	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
499	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
500	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
501	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
502	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
503	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
504	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
505	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
506	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
507	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
508	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
509	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
510	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
511	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
512	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
513	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
514	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
515	C₁₃×C₂²⋊C₄	C₂⁴	1	3	yes	—
516	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
517	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
518	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
519	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
520	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
521	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
522	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
523	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
524	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
525	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
526	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
527	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
528	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
529	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
530	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
531	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
532	C₁₃×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
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	3	yes	—
537	C₁₃×C₂²⋊C₄	C₂⁴	1	3	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	12	yes	—
542	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
543	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
544	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
545	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
546	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
547	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
548	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₄²×C₁₃	C₂⁴	1	3	yes	—
551	C₄²×C₁₃	C₂⁴	1	3	yes	—
552	C₄²×C₁₃	C₂⁴	1	2	yes	—
553	C₄²×C₁₃	C₂⁴	1	6	yes	—
554	C₄²×C₁₃	C₂⁴	1	3	yes	—
555	C₄²×C₁₃	C₂⁴	1	3	yes	—
556	C₄²×C₁₃	C₂⁴	1	3	yes	—
557	C₄²×C₁₃	C₂⁴	1	6	yes	—
558	C₄²×C₁₃	C₂⁴	1	3	yes	—
559	C₄²×C₁₃	C₂⁴	1	3	yes	—
560	C₄²×C₁₃	C₂⁴	1	3	yes	—
561	C₄²×C₁₃	C₂⁴	1	12	yes	—
562	#3558	C₂×C₁₃	1	6	yes	complemented
563	#3549	C₂×C₁₃	1	3	yes	complemented
564	#3547	C₂×C₁₃	1	3	yes	complemented
565	#3546	C₂×C₁₃	1	3	yes	complemented
566	#3546	C₂×C₁₃	1	6	yes	complemented
567	#3543	C₂×C₁₃	1	3	yes	complemented
568	#3542	C₂×C₁₃	1	6	yes	complemented
569	#3540	C₂×C₁₃	1	6	yes	complemented
570	#3524	C₂×C₁₃	1	2	yes	complemented
571	#3522	C₂×C₁₃	1	1	yes	characteristic, complemented
572	#3519	C₂×C₁₃	1	3	yes	complemented
573	#3518	C₂×C₁₃	1	1	yes	characteristic, complemented
574	#3514	C₂×C₁₃	1	3	yes	complemented
575	#3508	C₂×C₁₃	1	3	yes	complemented
576	#3500	C₂×C₁₃	1	2	yes	complemented
577	#3498	C₂×C₁₃	1	1	yes	characteristic, complemented
578	#3497	C₂×C₁₃	1	1	yes	characteristic, complemented
579	#3488	C₂×C₁₃	1	2	yes	complemented
580	#3487	C₂×C₁₃	1	2	yes	complemented
581	#3483	C₂×C₁₃	1	1	yes	characteristic, complemented
582	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
583	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
584	#3460	C₂×C₁₃	1	3	yes	complemented
585	C₂³×C₁₃	—	4	6	no	—
586	C₂³×C₁₃	—	4	6	no	—
587	C₂³×C₁₃	—	4	6	no	—
588	C₂³×C₁₃	—	4	12	no	—
589	C₂³×C₁₃	—	4	12	no	—
590	C₂³×C₁₃	—	4	12	no	—
591	C₂³×C₁₃	C₂⁵	1	3	yes	—
592	C₂³×C₁₃	C₂⁵	1	2	yes	—
593	C₂³×C₁₃	C₂⁵	1	6	yes	—
594	C₂³×C₁₃	C₂⁵	1	3	yes	—
595	C₂³×C₁₃	C₂⁵	1	6	yes	—
596	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
597	Q₈×C₁₃	—	2	6	no	—
598	Q₈×C₁₃	—	2	12	no	—
599	Q₈×C₁₃	—	2	2	no	—
600	Q₈×C₁₃	—	4	6	no	—
601	Q₈×C₁₃	—	4	3	no	—
602	Q₈×C₁₃	—	4	2	no	—
603	Q₈×C₁₃	—	4	6	no	—
604	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
605	D₄×C₁₃	—	2	6	no	—
606	D₄×C₁₃	—	2	12	no	—
607	D₄×C₁₃	—	2	6	no	—
608	D₄×C₁₃	—	2	12	no	—
609	D₄×C₁₃	—	2	2	no	—
610	D₄×C₁₃	—	2	6	no	—
611	D₄×C₁₃	—	2	6	no	—
612	D₄×C₁₃	—	4	6	no	—
613	D₄×C₁₃	—	4	6	no	—
614	D₄×C₁₃	—	4	6	no	—
615	D₄×C₁₃	—	4	6	no	—
616	D₄×C₁₃	—	4	12	no	—
617	D₄×C₁₃	—	4	12	no	—
618	D₄×C₁₃	—	4	6	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	D₄×C₁₃	—	4	6	no	—
624	D₄×C₁₃	—	4	12	no	—
625	D₄×C₁₃	—	4	3	no	—
626	D₄×C₁₃	—	4	3	no	—
627	D₄×C₁₃	—	4	3	no	—
628	D₄×C₁₃	—	4	6	no	—
629	D₄×C₁₃	—	4	2	no	—
630	D₄×C₁₃	—	4	6	no	—
631	D₄×C₁₃	—	4	6	no	—
632	D₄×C₁₃	—	4	6	no	—
633	C₂×C₄×C₁₃	—	2	6	no	—
634	C₂×C₄×C₁₃	—	2	12	no	—
635	C₂×C₄×C₁₃	—	2	12	no	—
636	C₂×C₄×C₁₃	—	2	6	no	—
637	C₂×C₄×C₁₃	—	2	12	no	—
638	C₂×C₄×C₁₃	—	2	6	no	—
639	C₂×C₄×C₁₃	—	2	6	no	—
640	C₂×C₄×C₁₃	—	2	6	no	—
641	C₂×C₄×C₁₃	—	2	2	no	—
642	C₂×C₄×C₁₃	—	4	2	no	—
643	C₂×C₄×C₁₃	—	4	6	no	—
644	C₂×C₄×C₁₃	—	4	6	no	—
645	C₂×C₄×C₁₃	—	4	3	no	—
646	C₂×C₄×C₁₃	—	4	12	no	—
647	C₂×C₄×C₁₃	—	4	12	no	—
648	C₂×C₄×C₁₃	—	4	6	no	—
649	C₂×C₄×C₁₃	—	4	3	no	—
650	C₂×C₄×C₁₃	—	4	6	no	—
651	C₂×C₄×C₁₃	—	4	3	no	—
652	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
653	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
654	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
655	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
656	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
657	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
658	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
659	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
660	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
661	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
662	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
663	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
664	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
665	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
666	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
667	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
668	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
669	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
670	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	complemented
671	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
672	#562	C₂²×C₁₃	1	12	yes	complemented
673	H(3,𝔽₄)	C₂²×C₁₃	1	12	yes	complemented
674	#560	C₂²×C₁₃	1	12	yes	complemented
675	#560	C₂²×C₁₃	1	12	yes	complemented
676	#559	C₂²×C₁₃	1	3	yes	complemented
677	#559	C₂²×C₁₃	1	6	yes	complemented
678	#559	C₂²×C₁₃	1	6	yes	complemented
679	#559	C₂²×C₁₃	1	3	yes	complemented
680	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	#556	C₂²×C₁₃	1	3	yes	complemented
683	#556	C₂²×C₁₃	1	3	yes	complemented
684	#556	C₂²×C₁₃	1	6	yes	complemented
685	#555	C₂²×C₁₃	1	6	yes	complemented
686	#555	C₂²×C₁₃	1	3	yes	complemented
687	#555	C₂²×C₁₃	1	6	yes	complemented
688	#555	C₂²×C₁₃	1	3	yes	complemented
689	#555	C₂²×C₁₃	1	6	yes	complemented
690	#554	C₂²×C₁₃	1	3	yes	complemented
691	#553	C₂²×C₁₃	1	3	yes	complemented
692	#553	C₂²×C₁₃	1	3	yes	complemented
693	#553	C₂²×C₁₃	1	6	yes	complemented
694	#553	C₂²×C₁₃	1	6	yes	complemented
695	#552	C₂²×C₁₃	1	6	yes	complemented
696	#551	C₂²×C₁₃	1	12	yes	complemented
697	#550	C₂²×C₁₃	1	1	yes	characteristic
698	#550	C₂²×C₁₃	1	1	yes	characteristic
699	#550	C₂²×C₁₃	1	2	yes	complemented
700	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#550	C₂²×C₁₃	1	3	yes	complemented
702	#550	C₂²×C₁₃	1	2	yes	complemented
703	#550	C₂²×C₁₃	1	6	yes	complemented
704	#550	C₂²×C₁₃	1	6	yes	complemented
705	#550	C₂²×C₁₃	1	3	yes	complemented
706	#550	C₂²×C₁₃	1	6	yes	complemented
707	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	D₄×Q₈	C₂²×C₁₃	1	3	yes	complemented
709	#548	C₂²×C₁₃	1	2	yes	complemented
710	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	#548	C₂²×C₁₃	1	2	yes	complemented
713	#548	C₂²×C₁₃	1	6	yes	complemented
714	#548	C₂²×C₁₃	1	6	yes	complemented
715	#548	C₂²×C₁₃	1	2	yes	complemented
716	#548	C₂²×C₁₃	1	2	yes	complemented
717	#548	C₂²×C₁₃	1	6	yes	complemented
718	#547	C₂²×C₁₃	1	3	yes	complemented
719	#547	C₂²×C₁₃	1	6	yes	complemented
720	#546	C₂²×C₁₃	1	6	yes	complemented
721	#546	C₂²×C₁₃	1	6	yes	complemented
722	#546	C₂²×C₁₃	1	6	yes	complemented
723	#546	C₂²×C₁₃	1	6	yes	complemented
724	#546	C₂²×C₁₃	1	6	yes	complemented
725	#546	C₂²×C₁₃	1	6	yes	complemented
726	#546	C₂²×C₁₃	1	6	yes	complemented
727	#546	C₂²×C₁₃	1	6	yes	complemented
728	#546	C₂²×C₁₃	1	6	yes	complemented
729	#546	C₂²×C₁₃	1	6	yes	complemented
730	#546	C₂²×C₁₃	1	12	yes	complemented
731	D₄²	C₂²×C₁₃	1	3	yes	complemented
732	D₄²	C₂²×C₁₃	1	6	yes	complemented
733	D₄²	C₂²×C₁₃	1	6	yes	complemented
734	D₄²	C₂²×C₁₃	1	3	yes	complemented
735	D₄²	C₂²×C₁₃	1	3	yes	complemented
736	D₄²	C₂²×C₁₃	1	6	yes	complemented
737	D₄²	C₂²×C₁₃	1	6	yes	complemented
738	#544	C₂²×C₁₃	1	3	yes	complemented
739	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	#542	C₂²×C₁₃	1	3	yes	complemented
741	#542	C₂²×C₁₃	1	6	yes	complemented
742	#542	C₂²×C₁₃	1	6	yes	complemented
743	#542	C₂²×C₁₃	1	6	yes	complemented
744	#542	C₂²×C₁₃	1	6	yes	complemented
745	#542	C₂²×C₁₃	1	12	yes	complemented
746	#540	C₂²×C₁₃	1	3	yes	complemented
747	#540	C₂²×C₁₃	1	3	yes	complemented
748	#540	C₂²×C₁₃	1	6	yes	complemented
749	#540	C₂²×C₁₃	1	6	yes	complemented
750	#540	C₂²×C₁₃	1	6	yes	complemented
751	#538	C₂²×C₁₃	1	6	yes	complemented
752	#538	C₂²×C₁₃	1	6	yes	complemented
753	#538	C₂²×C₁₃	1	12	yes	complemented
754	#538	C₂²×C₁₃	1	12	yes	complemented
755	#538	C₂²×C₁₃	1	12	yes	complemented
756	#537	C₂²×C₁₃	1	3	yes	complemented
757	#537	C₂²×C₁₃	1	6	yes	complemented
758	#537	C₂²×C₁₃	1	6	yes	complemented
759	#536	C₂²×C₁₃	1	6	yes	complemented
760	#535	C₂²×C₁₃	1	3	yes	complemented
761	#535	C₂²×C₁₃	1	3	yes	complemented
762	#535	C₂²×C₁₃	1	6	yes	complemented
763	#535	C₂²×C₁₃	1	6	yes	complemented
764	#535	C₂²×C₁₃	1	6	yes	complemented
765	#535	C₂²×C₁₃	1	6	yes	complemented
766	#535	C₂²×C₁₃	1	6	yes	complemented
767	#535	C₂²×C₁₃	1	6	yes	complemented
768	#535	C₂²×C₁₃	1	12	yes	complemented
769	#534	C₂²×C₁₃	1	12	yes	complemented
770	#533	C₂²×C₁₃	1	3	yes	complemented
771	#532	C₂²×C₁₃	1	3	yes	complemented
772	#532	C₂²×C₁₃	1	3	yes	complemented
773	#532	C₂²×C₁₃	1	6	yes	complemented
774	#532	C₂²×C₁₃	1	3	yes	complemented
775	#532	C₂²×C₁₃	1	3	yes	complemented
776	#532	C₂²×C₁₃	1	3	yes	complemented
777	#532	C₂²×C₁₃	1	6	yes	complemented
778	#532	C₂²×C₁₃	1	3	yes	complemented
779	#532	C₂²×C₁₃	1	3	yes	complemented
780	C₂×#127	C₂²×C₁₃	1	3	yes	complemented
781	#529	C₂²×C₁₃	1	3	yes	complemented
782	#529	C₂²×C₁₃	1	3	yes	complemented
783	#529	C₂²×C₁₃	1	6	yes	complemented
784	#529	C₂²×C₁₃	1	3	yes	complemented
785	#529	C₂²×C₁₃	1	3	yes	complemented
786	#529	C₂²×C₁₃	1	6	yes	complemented
787	C₂×#124	C₂²×C₁₃	1	6	yes	complemented
788	#525	C₂²×C₁₃	1	6	yes	complemented
789	#525	C₂²×C₁₃	1	6	yes	complemented
790	#525	C₂²×C₁₃	1	6	yes	complemented
791	#525	C₂²×C₁₃	1	6	yes	complemented
792	C₂×#121	C₂²×C₁₃	1	6	yes	complemented
793	#520	C₂²×C₁₃	1	2	yes	complemented
794	#519	C₂²×C₁₃	1	2	yes	complemented
795	#518	C₂²×C₁₃	1	6	yes	complemented
796	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
797	C₄×#41	C₂²×C₁₃	1	3	yes	complemented
798	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
800	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
801	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
802	C₂×C₄×D₄	C₂²×C₁₃	1	3	yes	complemented
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	2	1	no	—
805	C₂²×C₁₃	—	2	3	no	—
806	C₂²×C₁₃	—	2	6	no	—
807	C₂²×C₁₃	—	2	6	no	—
808	C₂²×C₁₃	—	2	3	no	—
809	C₂²×C₁₃	—	2	1	no	—
810	C₂²×C₁₃	—	2	3	no	—
811	C₂²×C₁₃	—	2	3	no	—
812	C₂²×C₁₃	—	2	6	no	—
813	C₂²×C₁₃	—	2	2	no	—
814	C₂²×C₁₃	—	2	6	no	—
815	C₂²×C₁₃	—	2	1	no	—
816	C₂²×C₁₃	—	2	6	no	—
817	C₂²×C₁₃	—	2	3	no	—
818	C₂²×C₁₃	—	2	6	no	—
819	C₂²×C₁₃	—	2	3	no	—
820	C₂²×C₁₃	—	2	2	no	—
821	C₂²×C₁₃	—	8	12	no	—
822	C₂²×C₁₃	—	16	12	no	—
823	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
824	C₄×C₁₃	—	2	1	no	—
825	C₄×C₁₃	—	2	2	no	—
826	C₄×C₁₃	—	2	1	no	—
827	C₄×C₁₃	—	2	2	no	—
828	C₄×C₁₃	—	2	6	no	—
829	C₄×C₁₃	—	2	3	no	—
830	C₄×C₁₃	—	2	3	no	—
831	C₄×C₁₃	—	2	3	no	—
832	C₄×C₁₃	—	2	1	no	—
833	C₄×C₁₃	—	2	2	no	—
834	C₄×C₁₃	—	2	1	no	—
835	C₄×C₁₃	—	2	3	no	—
836	C₄×C₁₃	—	2	1	no	—
837	C₄×C₁₃	—	2	3	no	—
838	C₄×C₁₃	—	2	6	no	—
839	C₄×C₁₃	C₂×H(5,𝔽₂)	1	6	yes	—
840	C₄×C₁₃	#585	1	2	yes	—
841	2₋¹⁺⁴	—	4	8	no	—
842	H(5,𝔽₂)	—	4	8	no	—
843	C₂×#41	—	4	8	no	—
844	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
845	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
846	C₂×#41	C₂³×C₁₃	1	2	yes	—
847	C₂×#41	C₂³×C₁₃	1	2	yes	—
848	C₂×#41	C₂³×C₁₃	1	3	yes	—
849	C₂×#41	C₂³×C₁₃	1	3	yes	—
850	C₂×#41	C₂³×C₁₃	1	6	yes	—
851	C₂×#41	C₂³×C₁₃	1	6	yes	—
852	C₂×#41	C₂³×C₁₃	1	6	yes	—
853	C₂×#41	C₂³×C₁₃	1	6	yes	—
854	C₂×#41	C₂³×C₁₃	1	6	yes	—
855	C₂×#41	C₂³×C₁₃	1	6	yes	—
856	C₂×#41	C₂³×C₁₃	1	6	yes	—
857	C₂×#41	C₂³×C₁₃	1	6	yes	—
858	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
860	C₂²×Q₈	C₂³×C₁₃	1	6	yes	—
861	C₂²×D₄	C₂³×C₁₃	1	3	yes	—
862	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
863	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
864	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
865	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
866	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
867	C₂²×D₄	C₂³×C₁₃	1	12	yes	—
868	C₂²×D₄	C₂³×C₁₃	1	6	yes	—
869	C₂³×C₄	C₂³×C₁₃	1	6	yes	—
870	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
871	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
872	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
873	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
874	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
875	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
876	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
877	#127	C₂³×C₁₃	1	3	yes	—
878	#127	C₂³×C₁₃	1	3	yes	—
879	#127	C₂³×C₁₃	1	3	yes	—
880	#127	C₂³×C₁₃	1	6	yes	—
881	#127	C₂³×C₁₃	1	6	yes	—
882	#127	C₂³×C₁₃	1	6	yes	—
883	#127	C₂³×C₁₃	1	3	yes	—
884	#127	C₂³×C₁₃	1	6	yes	—
885	#127	C₂³×C₁₃	1	3	yes	—
886	#127	C₂³×C₁₃	1	12	yes	—
887	#126	C₂³×C₁₃	1	2	yes	—
888	#126	C₂³×C₁₃	1	6	yes	—
889	#126	C₂³×C₁₃	1	6	yes	—
890	#126	C₂³×C₁₃	1	6	yes	—
891	#126	C₂³×C₁₃	1	6	yes	—
892	#126	C₂³×C₁₃	1	6	yes	—
893	#126	C₂³×C₁₃	1	12	yes	—
894	#126	C₂³×C₁₃	1	12	yes	—
895	#125	C₂³×C₁₃	1	3	yes	—
896	#125	C₂³×C₁₃	1	3	yes	—
897	#125	C₂³×C₁₃	1	3	yes	—
898	#125	C₂³×C₁₃	1	6	yes	—
899	#125	C₂³×C₁₃	1	3	yes	—
900	#124	C₂³×C₁₃	1	3	yes	—
901	#124	C₂³×C₁₃	1	6	yes	—
902	#124	C₂³×C₁₃	1	6	yes	—
903	#124	C₂³×C₁₃	1	12	yes	—
904	#124	C₂³×C₁₃	1	6	yes	—
905	#124	C₂³×C₁₃	1	6	yes	—
906	#124	C₂³×C₁₃	1	1	yes	characteristic
907	#124	C₂³×C₁₃	1	3	yes	—
908	#124	C₂³×C₁₃	1	3	yes	—
909	#124	C₂³×C₁₃	1	6	yes	—
910	#124	C₂³×C₁₃	1	2	yes	—
911	#124	C₂³×C₁₃	1	6	yes	—
912	#124	C₂³×C₁₃	1	6	yes	—
913	#124	C₂³×C₁₃	1	12	yes	—
914	#124	C₂³×C₁₃	1	6	yes	—
915	#124	C₂³×C₁₃	1	6	yes	—
916	#124	C₂³×C₁₃	1	6	yes	—
917	#124	C₂³×C₁₃	1	6	yes	—
918	#124	C₂³×C₁₃	1	12	yes	—
919	#124	C₂³×C₁₃	1	12	yes	—
920	#124	C₂³×C₁₃	1	12	yes	—
921	#123	C₂³×C₁₃	1	6	yes	—
922	#123	C₂³×C₁₃	1	2	yes	—
923	#123	C₂³×C₁₃	1	12	yes	—
924	#123	C₂³×C₁₃	1	6	yes	—
925	#123	C₂³×C₁₃	1	6	yes	—
926	#123	C₂³×C₁₃	1	6	yes	—
927	#123	C₂³×C₁₃	1	6	yes	—
928	#123	C₂³×C₁₃	1	6	yes	—
929	#123	C₂³×C₁₃	1	6	yes	—
930	#123	C₂³×C₁₃	1	6	yes	—
931	#123	C₂³×C₁₃	1	6	yes	—
932	#123	C₂³×C₁₃	1	12	yes	—
933	#123	C₂³×C₁₃	1	12	yes	—
934	#123	C₂³×C₁₃	1	12	yes	—
935	#123	C₂³×C₁₃	1	12	yes	—
936	#123	C₂³×C₁₃	1	12	yes	—
937	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
938	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
939	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
940	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
941	C₂²⋊Q₈	C₂³×C₁₃	1	6	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	1	yes	characteristic
946	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
947	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
948	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
949	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
950	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
951	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
952	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
953	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
954	#121	C₂³×C₁₃	1	6	yes	—
955	#121	C₂³×C₁₃	1	3	yes	—
956	#121	C₂³×C₁₃	1	6	yes	—
957	#121	C₂³×C₁₃	1	12	yes	—
958	#121	C₂³×C₁₃	1	6	yes	—
959	#121	C₂³×C₁₃	1	6	yes	—
960	#121	C₂³×C₁₃	1	6	yes	—
961	#121	C₂³×C₁₃	1	6	yes	—
962	#121	C₂³×C₁₃	1	6	yes	—
963	#121	C₂³×C₁₃	1	6	yes	—
964	#121	C₂³×C₁₃	1	6	yes	—
965	#121	C₂³×C₁₃	1	6	yes	—
966	#121	C₂³×C₁₃	1	3	yes	—
967	#121	C₂³×C₁₃	1	6	yes	—
968	#121	C₂³×C₁₃	1	6	yes	—
969	#121	C₂³×C₁₃	1	3	yes	—
970	#121	C₂³×C₁₃	1	3	yes	—
971	#121	C₂³×C₁₃	1	1	yes	characteristic
972	#121	C₂³×C₁₃	1	3	yes	—
973	#121	C₂³×C₁₃	1	12	yes	—
974	#121	C₂³×C₁₃	1	6	yes	—
975	#121	C₂³×C₁₃	1	3	yes	—
976	#121	C₂³×C₁₃	1	6	yes	—
977	#121	C₂³×C₁₃	1	3	yes	—
978	#121	C₂³×C₁₃	1	6	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	6	yes	—
983	#121	C₂³×C₁₃	1	3	yes	—
984	#121	C₂³×C₁₃	1	6	yes	—
985	#121	C₂³×C₁₃	1	6	yes	—
986	#121	C₂³×C₁₃	1	3	yes	—
987	#121	C₂³×C₁₃	1	6	yes	—
988	#121	C₂³×C₁₃	1	6	yes	—
989	#121	C₂³×C₁₃	1	6	yes	—
990	#121	C₂³×C₁₃	1	6	yes	—
991	#121	C₂³×C₁₃	1	6	yes	—
992	#121	C₂³×C₁₃	1	12	yes	—
993	#121	C₂³×C₁₃	1	12	yes	—
994	#121	C₂³×C₁₃	1	12	yes	—
995	#121	C₂³×C₁₃	1	12	yes	—
996	#121	C₂³×C₁₃	1	12	yes	—
997	#121	C₂³×C₁₃	1	12	yes	—
998	#120	C₂³×C₁₃	1	6	yes	—
999	#120	C₂³×C₁₃	1	12	yes	—
1000	#120	C₂³×C₁₃	1	6	yes	—
1001	#120	C₂³×C₁₃	1	12	yes	—
1002	#120	C₂³×C₁₃	1	6	yes	—
1003	#120	C₂³×C₁₃	1	6	yes	—
1004	#120	C₂³×C₁₃	1	12	yes	—
1005	#120	C₂³×C₁₃	1	12	yes	—
1006	#120	C₂³×C₁₃	1	12	yes	—
1007	#120	C₂³×C₁₃	1	12	yes	—
1008	#120	C₂³×C₁₃	1	12	yes	—
1009	#120	C₂³×C₁₃	1	12	yes	—
1010	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1011	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1012	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1013	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1014	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1015	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1016	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1017	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1018	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1019	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1020	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
1021	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1022	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1023	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
1024	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1025	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1026	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1027	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1028	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1029	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1030	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1031	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1032	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1033	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1034	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1035	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1036	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1037	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1038	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1039	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1040	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1041	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1042	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1043	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1044	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1045	C₄×D₄	C₂³×C₁₃	1	3	yes	—
1046	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1047	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1048	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1049	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1050	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1051	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1052	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1053	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1054	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1055	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1056	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1057	C₄×D₄	C₂³×C₁₃	1	12	yes	—
1058	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1059	C₄×D₄	C₂³×C₁₃	1	6	yes	—
1060	#117	C₂³×C₁₃	1	1	yes	characteristic
1061	#117	C₂³×C₁₃	1	3	yes	—
1062	#117	C₂³×C₁₃	1	3	yes	—
1063	#117	C₂³×C₁₃	1	3	yes	—
1064	#117	C₂³×C₁₃	1	3	yes	—
1065	#117	C₂³×C₁₃	1	6	yes	—
1066	#117	C₂³×C₁₃	1	3	yes	—
1067	#117	C₂³×C₁₃	1	6	yes	—
1068	#117	C₂³×C₁₃	1	6	yes	—
1069	#117	C₂³×C₁₃	1	6	yes	—
1070	#117	C₂³×C₁₃	1	6	yes	—
1071	#117	C₂³×C₁₃	1	6	yes	—
1072	#117	C₂³×C₁₃	1	12	yes	—
1073	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1074	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
1075	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
1076	C₂×C₂²⋊C₄	C₂³×C₁₃	1	6	yes	—
1077	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
1078	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
1079	C₂×C₂²⋊C₄	C₂³×C₁₃	1	12	yes	—
1080	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1081	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1082	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
1083	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
1084	C₂×C₁₃	—	4	1	no	—
1085	C₂×C₁₃	—	4	3	no	—
1086	C₂×C₁₃	—	4	2	no	—
1087	C₂×C₁₃	—	4	6	no	—
1088	C₂×C₁₃	—	4	6	no	—
1089	C₂×C₁₃	—	4	3	no	—
1090	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1091	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1092	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1093	C₂⁴	C₂⁴×C₁₃	1	12	yes	—
1094	C₂⁴	C₂⁴×C₁₃	1	6	yes	—
1095	#41	—	2	4	no	—
1096	#41	—	2	8	no	—
1097	#41	—	2	4	no	—
1098	#41	—	2	8	no	—
1099	#41	—	4	12	no	—
1100	#41	—	4	12	no	—
1101	#41	—	4	6	no	—
1102	#41	—	4	12	no	—
1103	#41	—	4	12	no	—
1104	#41	—	4	12	no	—
1105	#41	—	4	12	no	—
1106	#41	—	4	6	no	—
1107	#41	—	8	6	no	—
1108	#41	—	8	6	no	—
1109	C₂×Q₈	—	2	8	no	—
1110	C₂×Q₈	—	2	4	no	—
1111	C₂×Q₈	—	4	12	no	—
1112	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1113	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
1114	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1115	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
1116	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1117	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
1118	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1119	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1120	C₂×D₄	—	4	12	no	—
1121	C₂×D₄	—	4	12	no	—
1122	C₂×D₄	—	4	12	no	—
1123	C₂×D₄	—	4	12	no	—
1124	C₂×D₄	—	4	12	no	—
1125	C₂×D₄	—	4	6	no	—
1126	C₂×D₄	—	8	6	no	—
1127	C₂×D₄	—	8	12	no	—
1128	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1130	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1131	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1132	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1133	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1134	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1135	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1136	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1137	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1138	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1139	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
1140	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
1141	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1142	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1143	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1144	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1145	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
1146	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1147	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1148	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1149	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1150	C₂×D₄	C₂⁴×C₁₃	1	12	yes	—
1151	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1152	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1153	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1154	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1155	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
1156	C₂²×C₄	—	4	12	no	—
1157	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1158	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1159	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1160	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1161	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1162	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1163	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1164	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1165	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1166	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1167	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1168	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1169	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1170	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
1171	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1172	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1173	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
1174	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
1175	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1176	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1177	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1178	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1179	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1180	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1181	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1182	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1183	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1184	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1185	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1187	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1188	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1189	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1190	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1191	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1192	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1193	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1194	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1195	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1196	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1197	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1198	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1199	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1200	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1201	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1202	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1203	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1204	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1205	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1206	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1207	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1208	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1209	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1210	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1211	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1212	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1213	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1214	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1215	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1216	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1217	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1218	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1219	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1220	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1221	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1222	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1223	C₂²⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1224	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1225	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1226	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1227	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1228	C₂²⋊C₄	C₂⁴×C₁₃	1	3	yes	—
1229	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1230	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1231	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1232	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1233	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1234	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1235	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1236	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1237	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1238	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1239	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1240	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1241	C₄²	C₂⁴×C₁₃	1	3	yes	—
1242	C₄²	C₂⁴×C₁₃	1	3	yes	—
1243	C₄²	C₂⁴×C₁₃	1	2	yes	—
1244	C₄²	C₂⁴×C₁₃	1	6	yes	—
1245	C₄²	C₂⁴×C₁₃	1	3	yes	—
1246	C₄²	C₂⁴×C₁₃	1	3	yes	—
1247	C₄²	C₂⁴×C₁₃	1	3	yes	—
1248	C₄²	C₂⁴×C₁₃	1	6	yes	—
1249	C₄²	C₂⁴×C₁₃	1	3	yes	—
1250	C₄²	C₂⁴×C₁₃	1	3	yes	—
1251	C₄²	C₂⁴×C₁₃	1	3	yes	—
1252	C₄²	C₂⁴×C₁₃	1	12	yes	—
1253	C₁₃	#62923	1	1	yes	characteristic, direct product factor, Sylow
1254	C₂³	—	4	6	no	—
1255	C₂³	—	4	6	no	—
1256	C₂³	—	4	6	no	—
1257	C₂³	—	4	12	no	—
1258	C₂³	—	4	12	no	—
1259	C₂³	—	4	12	no	—
1260	C₂³	C₂⁵×C₁₃	1	3	yes	—
1261	C₂³	C₂⁵×C₁₃	1	2	yes	—
1262	C₂³	C₂⁵×C₁₃	1	6	yes	—
1263	C₂³	C₂⁵×C₁₃	1	3	yes	—
1264	C₂³	C₂⁵×C₁₃	1	6	yes	—
1265	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1266	Q₈	—	2	6	no	—
1267	Q₈	—	2	12	no	—
1268	Q₈	—	2	2	no	—
1269	Q₈	—	4	6	no	—
1270	Q₈	—	4	2	no	—
1271	Q₈	—	4	3	no	—
1272	Q₈	—	4	6	no	—
1273	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
1274	D₄	—	2	6	no	—
1275	D₄	—	2	12	no	—
1276	D₄	—	2	6	no	—
1277	D₄	—	2	12	no	—
1278	D₄	—	2	2	no	—
1279	D₄	—	2	6	no	—
1280	D₄	—	2	6	no	—
1281	D₄	—	4	6	no	—
1282	D₄	—	4	6	no	—
1283	D₄	—	4	6	no	—
1284	D₄	—	4	6	no	—
1285	D₄	—	4	12	no	—
1286	D₄	—	4	12	no	—
1287	D₄	—	4	6	no	—
1288	D₄	—	4	6	no	—
1289	D₄	—	4	6	no	—
1290	D₄	—	4	6	no	—
1291	D₄	—	4	6	no	—
1292	D₄	—	4	6	no	—
1293	D₄	—	4	12	no	—
1294	D₄	—	4	3	no	—
1295	D₄	—	4	3	no	—
1296	D₄	—	4	3	no	—
1297	D₄	—	4	6	no	—
1298	D₄	—	4	2	no	—
1299	D₄	—	4	6	no	—
1300	D₄	—	4	6	no	—
1301	D₄	—	4	6	no	—
1302	C₂×C₄	—	2	6	no	—
1303	C₂×C₄	—	2	12	no	—
1304	C₂×C₄	—	2	12	no	—
1305	C₂×C₄	—	2	6	no	—
1306	C₂×C₄	—	2	12	no	—
1307	C₂×C₄	—	2	6	no	—
1308	C₂×C₄	—	2	6	no	—
1309	C₂×C₄	—	2	6	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	4	2	no	—
1312	C₂×C₄	—	4	6	no	—
1313	C₂×C₄	—	4	6	no	—
1314	C₂×C₄	—	4	3	no	—
1315	C₂×C₄	—	4	12	no	—
1316	C₂×C₄	—	4	12	no	—
1317	C₂×C₄	—	4	6	no	—
1318	C₂×C₄	—	4	3	no	—
1319	C₂×C₄	—	4	6	no	—
1320	C₂×C₄	—	4	3	no	—
1321	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1322	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1323	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1324	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1325	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1326	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1327	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1328	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1329	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1330	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1331	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1332	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1333	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1334	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1335	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1336	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1337	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1338	C₂²	—	2	2	no	—
1339	C₂²	—	2	1	no	—
1340	C₂²	—	2	3	no	—
1341	C₂²	—	2	6	no	—
1342	C₂²	—	2	6	no	—
1343	C₂²	—	2	3	no	—
1344	C₂²	—	2	1	no	—
1345	C₂²	—	2	3	no	—
1346	C₂²	—	2	3	no	—
1347	C₂²	—	2	6	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	6	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	6	no	—
1352	C₂²	—	2	3	no	—
1353	C₂²	—	2	6	no	—
1354	C₂²	—	2	3	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	8	12	no	—
1357	C₂²	—	16	12	no	—
1358	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1359	C₄	—	2	1	no	—
1360	C₄	—	2	2	no	—
1361	C₄	—	2	1	no	—
1362	C₄	—	2	2	no	—
1363	C₄	—	2	6	no	—
1364	C₄	—	2	3	no	—
1365	C₄	—	2	3	no	—
1366	C₄	—	2	3	no	—
1367	C₄	—	2	1	no	—
1368	C₄	—	2	2	no	—
1369	C₄	—	2	1	no	—
1370	C₄	—	2	3	no	—
1371	C₄	—	2	1	no	—
1372	C₄	—	2	3	no	—
1373	C₄	—	2	6	no	—
1374	C₄	C₂×C₁₃×H(5,𝔽₂)	1	6	yes	—
1375	C₄	C₁₃×#585	1	2	yes	—
1376	C₂	—	4	2	no	—
1377	C₂	—	4	3	no	—
1378	C₂	—	4	6	no	—
1379	C₂	—	4	3	no	—
1380	C₂	—	4	6	no	—
1381	C₂	—	4	1	no	—
1382	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1383	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1384	C₂	C₁₃×H(7,𝔽₂)	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×#3558	C₂	semidirect
2. C₁₃×#3549	C₂	semidirect
3. C₁₃×#3547	C₂	semidirect
4. C₁₃×#3546	C₂	semidirect
5. C₁₃×#3546	C₂	semidirect
6. C₁₃×#3543	C₂	semidirect
7. C₁₃×#3542	C₂	semidirect
8. C₁₃×#3540	C₂	semidirect
9. C₁₃×#3524	C₂	semidirect
10. C₁₃×#3522	C₂	semidirect
11. C₁₃×#3519	C₂	semidirect
12. C₁₃×#3518	C₂	semidirect
13. C₁₃×#3514	C₂	semidirect
14. C₁₃×#3508	C₂	semidirect
15. C₁₃×#3500	C₂	semidirect
16. C₁₃×#3498	C₂	semidirect
17. C₁₃×#3497	C₂	semidirect
18. C₁₃×#3488	C₂	semidirect
19. C₁₃×#3487	C₂	semidirect
20. C₁₃×#3483	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×H(5,𝔽₂)	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₁₃×#562	C₂²	semidirect
28. C₁₃×H(3,𝔽₄)	C₂²	semidirect
29. C₁₃×#560	C₂²	semidirect
30. C₁₃×#560	C₂²	semidirect
31. C₁₃×#559	C₂²	semidirect
32. C₁₃×#559	C₂²	semidirect
33. C₁₃×#559	C₂²	semidirect
34. C₁₃×#559	C₂²	semidirect
35. Q₈²×C₁₃	C₂²	semidirect
36. C₁₃×#557	C₂²	semidirect
37. C₁₃×#556	C₂²	semidirect
38. C₁₃×#556	C₂²	semidirect
39. C₁₃×#556	C₂²	semidirect
40. C₁₃×#555	C₂²	semidirect
41. C₁₃×#555	C₂²	semidirect
42. C₁₃×#555	C₂²	semidirect
43. C₁₃×#555	C₂²	semidirect
44. C₁₃×#555	C₂²	semidirect
45. C₁₃×#554	C₂²	semidirect
46. C₁₃×#553	C₂²	semidirect
47. C₁₃×#553	C₂²	semidirect
48. C₁₃×#553	C₂²	semidirect
49. C₁₃×#553	C₂²	semidirect
50. C₁₃×#552	C₂²	semidirect
51. C₁₃×#551	C₂²	semidirect
54. C₁₃×#550	C₂²	semidirect
55. C₁₃×#550	C₂²	semidirect
56. C₁₃×#550	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. D₄×Q₈×C₁₃	C₂²	semidirect
63. D₄×Q₈×C₁₃	C₂²	semidirect
64. C₁₃×#548	C₂²	semidirect
65. C₁₃×#548	C₂²	semidirect
66. C₁₃×#548	C₂²	semidirect
67. C₁₃×#548	C₂²	semidirect
68. C₁₃×#548	C₂²	semidirect
69. C₁₃×#548	C₂²	semidirect
70. C₁₃×#548	C₂²	semidirect
71. C₁₃×#548	C₂²	semidirect
72. C₁₃×#548	C₂²	semidirect
73. C₁₃×#547	C₂²	semidirect
74. C₁₃×#547	C₂²	semidirect
75. C₁₃×#546	C₂²	semidirect
76. C₁₃×#546	C₂²	semidirect
77. C₁₃×#546	C₂²	semidirect
78. C₁₃×#546	C₂²	semidirect
79. C₁₃×#546	C₂²	semidirect
80. C₁₃×#546	C₂²	semidirect
81. C₁₃×#546	C₂²	semidirect
82. C₁₃×#546	C₂²	semidirect
83. C₁₃×#546	C₂²	semidirect
84. C₁₃×#546	C₂²	semidirect
85. C₁₃×#546	C₂²	semidirect
86. D₄²×C₁₃	C₂²	semidirect
87. D₄²×C₁₃	C₂²	semidirect
88. D₄²×C₁₃	C₂²	semidirect
89. D₄²×C₁₃	C₂²	semidirect
90. D₄²×C₁₃	C₂²	semidirect
91. D₄²×C₁₃	C₂²	semidirect
92. D₄²×C₁₃	C₂²	semidirect
93. C₁₃×#544	C₂²	semidirect
94. C₁₃×#542	C₂²	semidirect
95. C₁₃×#542	C₂²	semidirect
96. C₁₃×#542	C₂²	semidirect
97. C₁₃×#542	C₂²	semidirect
98. C₁₃×#542	C₂²	semidirect
99. C₁₃×#542	C₂²	semidirect
100. C₁₃×#542	C₂²	semidirect
101. C₁₃×#540	C₂²	semidirect
102. C₁₃×#540	C₂²	semidirect
103. C₁₃×#540	C₂²	semidirect
104. C₁₃×#540	C₂²	semidirect
105. C₁₃×#540	C₂²	semidirect
106. C₁₃×#538	C₂²	semidirect
107. C₁₃×#538	C₂²	semidirect
108. C₁₃×#538	C₂²	semidirect
109. C₁₃×#538	C₂²	semidirect
110. C₁₃×#538	C₂²	semidirect
111. C₁₃×#537	C₂²	semidirect
112. C₁₃×#537	C₂²	semidirect
113. C₁₃×#537	C₂²	semidirect
114. C₁₃×#536	C₂²	semidirect
115. C₁₃×#535	C₂²	semidirect
116. C₁₃×#535	C₂²	semidirect
117. C₁₃×#535	C₂²	semidirect
118. C₁₃×#535	C₂²	semidirect
119. C₁₃×#535	C₂²	semidirect
120. C₁₃×#535	C₂²	semidirect
121. C₁₃×#535	C₂²	semidirect
122. C₁₃×#535	C₂²	semidirect
123. C₁₃×#535	C₂²	semidirect
124. C₁₃×#534	C₂²	semidirect
125. C₁₃×#533	C₂²	semidirect
126. C₁₃×#532	C₂²	semidirect
127. C₁₃×#532	C₂²	semidirect
128. C₁₃×#532	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×#127	C₂²	semidirect
136. C₁₃×#529	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. C₂×C₁₃×#124	C₂²	semidirect
143. C₁₃×#525	C₂²	semidirect
144. C₁₃×#525	C₂²	semidirect
145. C₁₃×#525	C₂²	semidirect
146. C₁₃×#525	C₂²	semidirect
147. C₂×C₁₃×#121	C₂²	semidirect
148. C₁₃×#520	C₂²	semidirect
149. C₁₃×#519	C₂²	semidirect
150. C₁₃×#518	C₂²	semidirect
151. C₄×C₁₃×#41	C₂²	semidirect
152. C₄×C₁₃×#41	C₂²	semidirect
153. C₄×C₁₃×#41	C₂²	semidirect
154. C₄×C₁₃×#41	C₂²	semidirect
155. C₄×C₁₃×#41	C₂²	semidirect
156. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
157. C₂×C₄×D₄×C₁₃	C₂²	semidirect
401. #62923	C₁₃	direct (N × H)
562. #3558	C₂×C₁₃	semidirect
563. #3549	C₂×C₁₃	semidirect
564. #3547	C₂×C₁₃	semidirect
565. #3546	C₂×C₁₃	semidirect
566. #3546	C₂×C₁₃	semidirect
567. #3543	C₂×C₁₃	semidirect
568. #3542	C₂×C₁₃	semidirect
569. #3540	C₂×C₁₃	semidirect
570. #3524	C₂×C₁₃	semidirect
571. #3522	C₂×C₁₃	semidirect
572. #3519	C₂×C₁₃	semidirect
573. #3518	C₂×C₁₃	semidirect
574. #3514	C₂×C₁₃	semidirect
575. #3508	C₂×C₁₃	semidirect
576. #3500	C₂×C₁₃	semidirect
577. #3498	C₂×C₁₃	semidirect
578. #3497	C₂×C₁₃	semidirect
579. #3488	C₂×C₁₃	semidirect
580. #3487	C₂×C₁₃	semidirect
581. #3483	C₂×C₁₃	semidirect
582. #3480	C₂×C₁₃	semidirect
583. D₄×#41	C₂×C₁₃	semidirect
584. #3460	C₂×C₁₃	semidirect
669. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
670. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
671. C₂²×#41	C₂²×C₁₃	semidirect
672. #562	C₂²×C₁₃	semidirect
673. H(3,𝔽₄)	C₂²×C₁₃	semidirect
674. #560	C₂²×C₁₃	semidirect
675. #560	C₂²×C₁₃	semidirect
676. #559	C₂²×C₁₃	semidirect
677. #559	C₂²×C₁₃	semidirect
678. #559	C₂²×C₁₃	semidirect
679. #559	C₂²×C₁₃	semidirect
680. Q₈²	C₂²×C₁₃	semidirect
681. #557	C₂²×C₁₃	semidirect
682. #556	C₂²×C₁₃	semidirect
683. #556	C₂²×C₁₃	semidirect
684. #556	C₂²×C₁₃	semidirect
685. #555	C₂²×C₁₃	semidirect
686. #555	C₂²×C₁₃	semidirect
687. #555	C₂²×C₁₃	semidirect
688. #555	C₂²×C₁₃	semidirect
689. #555	C₂²×C₁₃	semidirect
690. #554	C₂²×C₁₃	semidirect
691. #553	C₂²×C₁₃	semidirect
692. #553	C₂²×C₁₃	semidirect
693. #553	C₂²×C₁₃	semidirect
694. #553	C₂²×C₁₃	semidirect
695. #552	C₂²×C₁₃	semidirect
696. #551	C₂²×C₁₃	semidirect
699. #550	C₂²×C₁₃	semidirect
700. #550	C₂²×C₁₃	semidirect
701. #550	C₂²×C₁₃	semidirect
702. #550	C₂²×C₁₃	semidirect
703. #550	C₂²×C₁₃	semidirect
704. #550	C₂²×C₁₃	semidirect
705. #550	C₂²×C₁₃	semidirect
706. #550	C₂²×C₁₃	semidirect
707. D₄×Q₈	C₂²×C₁₃	semidirect
708. 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
716. #548	C₂²×C₁₃	semidirect
717. #548	C₂²×C₁₃	semidirect
718. #547	C₂²×C₁₃	semidirect
719. #547	C₂²×C₁₃	semidirect
720. #546	C₂²×C₁₃	semidirect
721. #546	C₂²×C₁₃	semidirect
722. #546	C₂²×C₁₃	semidirect
723. #546	C₂²×C₁₃	semidirect
724. #546	C₂²×C₁₃	semidirect
725. #546	C₂²×C₁₃	semidirect
726. #546	C₂²×C₁₃	semidirect
727. #546	C₂²×C₁₃	semidirect
728. #546	C₂²×C₁₃	semidirect
729. #546	C₂²×C₁₃	semidirect
730. #546	C₂²×C₁₃	semidirect
731. D₄²	C₂²×C₁₃	semidirect
732. D₄²	C₂²×C₁₃	semidirect
733. D₄²	C₂²×C₁₃	semidirect
734. D₄²	C₂²×C₁₃	semidirect
735. D₄²	C₂²×C₁₃	semidirect
736. D₄²	C₂²×C₁₃	semidirect
737. D₄²	C₂²×C₁₃	semidirect
738. #544	C₂²×C₁₃	semidirect
739. #542	C₂²×C₁₃	semidirect
740. #542	C₂²×C₁₃	semidirect
741. #542	C₂²×C₁₃	semidirect
742. #542	C₂²×C₁₃	semidirect
743. #542	C₂²×C₁₃	semidirect
744. #542	C₂²×C₁₃	semidirect
745. #542	C₂²×C₁₃	semidirect
746. #540	C₂²×C₁₃	semidirect
747. #540	C₂²×C₁₃	semidirect
748. #540	C₂²×C₁₃	semidirect
749. #540	C₂²×C₁₃	semidirect
750. #540	C₂²×C₁₃	semidirect
751. #538	C₂²×C₁₃	semidirect
752. #538	C₂²×C₁₃	semidirect
753. #538	C₂²×C₁₃	semidirect
754. #538	C₂²×C₁₃	semidirect
755. #538	C₂²×C₁₃	semidirect
756. #537	C₂²×C₁₃	semidirect
757. #537	C₂²×C₁₃	semidirect
758. #537	C₂²×C₁₃	semidirect
759. #536	C₂²×C₁₃	semidirect
760. #535	C₂²×C₁₃	semidirect
761. #535	C₂²×C₁₃	semidirect
762. #535	C₂²×C₁₃	semidirect
763. #535	C₂²×C₁₃	semidirect
764. #535	C₂²×C₁₃	semidirect
765. #535	C₂²×C₁₃	semidirect
766. #535	C₂²×C₁₃	semidirect
767. #535	C₂²×C₁₃	semidirect
768. #535	C₂²×C₁₃	semidirect
769. #534	C₂²×C₁₃	semidirect
770. #533	C₂²×C₁₃	semidirect
771. #532	C₂²×C₁₃	semidirect
772. #532	C₂²×C₁₃	semidirect
773. #532	C₂²×C₁₃	semidirect
774. #532	C₂²×C₁₃	semidirect
775. #532	C₂²×C₁₃	semidirect
776. #532	C₂²×C₁₃	semidirect
777. #532	C₂²×C₁₃	semidirect
778. #532	C₂²×C₁₃	semidirect
779. #532	C₂²×C₁₃	semidirect
780. C₂×#127	C₂²×C₁₃	semidirect
781. #529	C₂²×C₁₃	semidirect
782. #529	C₂²×C₁₃	semidirect
783. #529	C₂²×C₁₃	semidirect
784. #529	C₂²×C₁₃	semidirect
785. #529	C₂²×C₁₃	semidirect
786. #529	C₂²×C₁₃	semidirect
787. C₂×#124	C₂²×C₁₃	semidirect
788. #525	C₂²×C₁₃	semidirect
789. #525	C₂²×C₁₃	semidirect
790. #525	C₂²×C₁₃	semidirect
791. #525	C₂²×C₁₃	semidirect
792. C₂×#121	C₂²×C₁₃	semidirect
793. #520	C₂²×C₁₃	semidirect
794. #519	C₂²×C₁₃	semidirect
795. #518	C₂²×C₁₃	semidirect
796. C₄×#41	C₂²×C₁₃	semidirect
797. C₄×#41	C₂²×C₁₃	semidirect
798. C₄×#41	C₂²×C₁₃	semidirect
799. C₄×#41	C₂²×C₁₃	semidirect
800. C₄×#41	C₂²×C₁₃	semidirect
801. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
802. C₂×C₄×D₄	C₂²×C₁₃	semidirect
1253. C₁₃	#62923	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×#3558	2
C₁₃×#3549	2
C₁₃×#3547	2
C₁₃×#3546	2
C₁₃×#3543	2
C₁₃×#3542	2
C₁₃×#3540	2
C₁₃×#3524	2
C₁₃×#3522	2
C₁₃×#3519	2
C₁₃×#3518	2
C₁₃×#3514	2
C₁₃×#3508	2
C₁₃×#3500	2
C₁₃×#3498	2
C₁₃×#3497	2
C₁₃×#3488	2
C₁₃×#3487	2
C₁₃×#3483	2
C₁₃×#3480	2
D₄×C₁₃×#41	2
C₁₃×#3460	2
#62923	13

Subgroups — C13×#62923 #15749262

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62923 #15749262