Subgroups — C₁₃×#61632 #15747971

Order 3328.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3536	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3486	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3299	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3298	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3285	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
17	C₂×C₁₃×#451	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2977	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
21	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
23	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
24	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
25	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
26	C₁₃×#562	—	2	2	no	—
27	C₁₃×#554	C₂²	1	2	yes	—
28	D₄×Q₈×C₁₃	—	2	1	no	—
29	D₄×Q₈×C₁₃	—	2	1	no	—
30	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
31	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
32	C₁₃×#548	—	2	1	no	—
33	C₁₃×#548	—	2	1	no	—
34	C₁₃×#548	C₂²	1	2	yes	—
35	C₁₃×#548	C₂²	1	2	yes	—
36	C₁₃×#548	C₂²	1	2	yes	complemented
37	C₁₃×#547	C₂²	1	2	yes	—
38	C₁₃×#546	—	2	2	no	—
39	C₁₃×#546	C₂²	1	2	yes	—
40	C₁₃×#543	—	2	1	no	—
41	C₁₃×#542	C₂²	1	2	yes	—
42	C₁₃×#539	—	2	1	no	—
43	C₁₃×#538	—	2	1	no	—
44	C₁₃×#537	—	2	1	no	—
45	C₁₃×#537	C₂²	1	2	yes	—
46	C₁₃×#536	—	2	2	no	—
47	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#525	—	2	2	no	—
50	C₁₃×#525	C₂²	1	1	yes	characteristic
51	C₁₃×#525	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
54	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#497	C₂²	1	2	yes	complemented
56	C₁₃×#495	C₂²	1	2	yes	complemented
57	C₁₃×#489	C₂²	1	2	yes	complemented
58	C₁₃×#487	C₂²	1	2	yes	complemented
59	C₁₃×#485	C₂²	1	2	yes	complemented
60	C₁₃×#484	C₂²	1	1	yes	characteristic
61	C₁₃×#484	C₂²	1	2	yes	complemented
62	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#483	C₂²	1	2	yes	complemented
64	C₁₃×#482	C₂²	1	2	yes	—
65	C₁₃×#481	C₂²	1	1	yes	characteristic
66	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#477	C₂²	1	2	yes	complemented
68	C₁₃×#475	C₂²	1	2	yes	complemented
69	C₁₃×#470	C₂²	1	2	yes	complemented
70	C₁₃×#468	C₂²	1	2	yes	complemented
71	C₁₃×#467	C₂²	1	2	yes	—
72	C₁₃×#467	C₂²	1	2	yes	complemented
73	C₁₃×#466	C₂²	1	2	yes	—
74	C₁₃×#465	C₂²	1	2	yes	—
75	C₁₃×#465	C₂²	1	2	yes	—
76	C₁₃×#465	C₂²	1	2	yes	complemented
77	C₁₃×#464	C₂²	1	2	yes	complemented
78	C₁₃×#464	C₂²	1	2	yes	complemented
79	C₁₃×#464	C₂²	1	2	yes	complemented
80	C₁₃×#463	C₂²	1	2	yes	complemented
81	C₁₃×#462	C₂²	1	2	yes	complemented
82	C₁₃×#461	C₂²	1	2	yes	complemented
83	C₁₃×#452	C₂²	1	2	yes	complemented
84	C₁₃×#452	C₂²	1	2	yes	complemented
85	C₁₃×#452	C₂²	1	2	yes	complemented
86	C₁₃×#452	C₂²	1	2	yes	complemented
87	C₁₃×#451	C₂²	1	2	yes	—
88	C₁₃×#451	C₂²	1	2	yes	—
89	C₁₃×#451	C₂²	1	2	yes	complemented
90	C₁₃×#451	C₂²	1	2	yes	complemented
91	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#451	C₂²	1	2	yes	complemented
93	C₁₃×#450	C₂²	1	1	yes	characteristic
94	C₁₃×#449	C₂²	1	2	yes	—
95	C₁₃×#449	C₂²	1	2	yes	complemented
96	C₁₃×#448	C₂²	1	2	yes	—
97	C₁₃×#448	C₂²	1	2	yes	—
98	C₁₃×#448	C₂²	1	2	yes	—
99	C₁₃×#448	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	complemented
101	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#447	C₂²	1	1	yes	characteristic
103	C₁₃×#441	C₂²	1	2	yes	complemented
104	C₁₃×#440	C₂²	1	2	yes	complemented
105	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
106	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	—
108	C₁₃×#435	C₂²	1	2	yes	complemented
109	C₈×D₄×C₁₃	C₂²	1	2	yes	—
110	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
111	C₁₃×#433	C₂²	1	2	yes	complemented
112	C₁₃×#417	C₂²	1	2	yes	complemented
113	C₂×C₁₃×#103	C₂²	1	2	yes	—
114	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
116	C₁₃×#408	C₂²	1	2	yes	complemented
117	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
119	C₁₃×2₋¹⁺⁴	—	4	4	no	—
120	C₂×C₁₃×#41	—	2	2	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	—	2	2	no	—
123	C₂×C₁₃×#41	C₂³	1	2	yes	—
124	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
125	C₂×C₁₃×#41	C₂³	1	2	yes	—
126	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
127	C₂²×Q₈×C₁₃	—	2	1	no	—
128	C₂²×Q₈×C₁₃	—	2	1	no	—
129	C₂²×Q₈×C₁₃	—	2	1	no	—
130	C₂²×Q₈×C₁₃	—	2	1	no	—
131	C₂²×Q₈×C₁₃	—	4	4	no	—
132	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
134	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
135	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
136	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	—	2	1	no	—
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	—	2	1	no	—
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₁₃×#137	—	4	4	no	—
143	C₁₃×#135	—	4	4	no	—
144	C₂×C₁₃×Q₁₆	—	4	4	no	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	—	4	4	no	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	—	2	2	no	—
164	C₁₃×C₄⋊Q₈	—	2	2	no	—
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#125	—	2	2	no	—
169	C₁₃×#124	—	2	1	no	—
170	C₁₃×#124	—	2	2	no	—
171	C₁₃×#124	—	2	2	no	—
172	C₁₃×#124	—	2	2	no	—
173	C₁₃×#124	—	2	2	no	—
174	C₁₃×#124	C₂³	1	2	yes	—
175	C₁₃×#124	C₂³	1	2	yes	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	1	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	D₄	1	2	yes	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	1	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
201	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
202	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
203	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	D₄	1	1	yes	characteristic
219	C₁₃×#121	D₄	1	1	yes	characteristic
220	C₁₃×#121	C₂³	1	1	yes	characteristic
221	C₁₃×#121	C₂³	1	2	yes	—
222	C₁₃×#121	C₂³	1	2	yes	—
223	C₁₃×#121	C₂³	1	2	yes	—
224	C₁₃×#121	C₂³	1	1	yes	characteristic
225	C₁₃×#120	—	2	1	no	—
226	C₁₃×#120	—	2	2	no	—
227	C₁₃×#120	D₄	1	2	yes	—
228	C₄×Q₈×C₁₃	—	2	1	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₁₃×#117	—	2	2	no	—
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₁₃×#117	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
251	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
254	C₁₃×#107	C₂³	1	2	yes	—
255	C₁₃×#107	C₂³	1	2	yes	—
256	C₁₃×#106	C₂³	1	2	yes	—
257	C₁₃×#106	C₂³	1	2	yes	—
258	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
259	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
260	C₁₃×#103	C₂³	1	2	yes	—
261	C₁₃×#103	C₂³	1	2	yes	—
262	C₁₃×#103	C₂³	1	2	yes	—
263	C₁₃×#103	C₂³	1	2	yes	—
264	C₁₃×#103	C₂³	1	2	yes	—
265	C₁₃×#103	C₂³	1	2	yes	—
266	C₁₃×#103	C₂³	1	2	yes	—
267	C₁₃×#103	C₂³	1	2	yes	—
268	C₁₃×#103	C₂³	1	2	yes	—
269	C₁₃×#103	C₂³	1	2	yes	—
270	C₁₃×#103	C₂³	1	2	yes	—
271	C₁₃×#103	C₂³	1	2	yes	—
272	C₁₃×#102	C₂³	1	2	yes	—
273	C₁₃×#102	C₂³	1	2	yes	—
274	C₁₃×#102	C₂³	1	2	yes	—
275	C₁₃×#102	C₂³	1	2	yes	—
276	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
277	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
278	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
280	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#97	C₂³	1	2	yes	—
285	C₄×C₈×C₁₃	C₂³	1	2	yes	—
286	#61632	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
287	C₂⁴×C₁₃	—	2	1	no	—
288	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
289	C₁₃×#41	—	2	4	no	—
290	C₁₃×#41	—	4	2	no	—
291	C₁₃×#41	—	4	2	no	—
292	C₁₃×#41	—	4	2	no	—
293	C₁₃×#41	—	4	8	no	—
294	C₁₃×#41	—	4	2	no	—
295	C₁₃×#41	—	4	2	no	—
296	C₁₃×#41	—	4	4	no	—
297	C₁₃×#41	—	8	4	no	—
298	C₂×Q₈×C₁₃	—	2	4	no	—
299	C₂×Q₈×C₁₃	—	2	1	no	—
300	C₂×Q₈×C₁₃	—	2	2	no	—
301	C₂×Q₈×C₁₃	—	2	2	no	—
302	C₂×Q₈×C₁₃	—	2	1	no	—
303	C₂×Q₈×C₁₃	—	2	2	no	—
304	C₂×Q₈×C₁₃	—	2	1	no	—
305	C₂×Q₈×C₁₃	—	2	2	no	—
306	C₂×Q₈×C₁₃	—	2	4	no	—
307	C₂×Q₈×C₁₃	—	2	4	no	—
308	C₂×Q₈×C₁₃	—	2	4	no	—
309	C₂×Q₈×C₁₃	—	4	2	no	—
310	C₂×Q₈×C₁₃	—	4	2	no	—
311	C₂×Q₈×C₁₃	—	4	2	no	—
312	C₂×Q₈×C₁₃	—	4	2	no	—
313	C₂×Q₈×C₁₃	—	4	4	no	—
314	C₂×Q₈×C₁₃	—	4	2	no	—
315	C₂×Q₈×C₁₃	—	4	4	no	—
316	C₂×Q₈×C₁₃	—	4	4	no	—
317	C₂×Q₈×C₁₃	—	4	4	no	—
318	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
319	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
320	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
321	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
322	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
323	C₂×D₄×C₁₃	—	2	1	no	—
324	C₂×D₄×C₁₃	—	2	1	no	—
325	C₂×D₄×C₁₃	—	2	2	no	—
326	C₂×D₄×C₁₃	—	2	1	no	—
327	C₂×D₄×C₁₃	—	2	2	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	4	2	no	—
333	C₂×D₄×C₁₃	—	8	2	no	—
334	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
335	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
336	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
340	C₂²×C₄×C₁₃	—	2	1	no	—
341	C₂²×C₄×C₁₃	—	2	1	no	—
342	C₂²×C₄×C₁₃	—	2	2	no	—
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	2	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	4	2	no	—
354	C₂²×C₄×C₁₃	—	4	4	no	—
355	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
362	C₁₃×Q₁₆	—	2	4	no	—
363	C₁₃×Q₁₆	—	2	4	no	—
364	C₁₃×Q₁₆	—	4	2	no	—
365	C₁₃×Q₁₆	—	4	2	no	—
366	C₁₃×Q₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	—	2	4	no	—
368	C₁₃×SD₁₆	—	2	4	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×SD₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	4	2	no	—
373	C₁₃×D₈	—	4	2	no	—
374	C₁₃×M₁₆	—	4	2	no	—
375	C₂×C₈×C₁₃	—	4	2	no	—
376	C₂×C₈×C₁₃	—	4	2	no	—
377	C₂×C₈×C₁₃	—	4	2	no	—
378	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
406	C₁₃×C₂²⋊C₄	—	2	2	no	—
407	C₁₃×C₂²⋊C₄	—	2	2	no	—
408	C₁₃×C₂²⋊C₄	—	2	1	no	—
409	C₁₃×C₂²⋊C₄	—	2	1	no	—
410	C₁₃×C₂²⋊C₄	—	2	1	no	—
411	C₁₃×C₂²⋊C₄	—	2	2	no	—
412	C₁₃×C₂²⋊C₄	—	2	2	no	—
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
425	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
426	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
427	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
428	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	1	no	—
432	C₄²×C₁₃	—	2	2	no	—
433	C₄²×C₁₃	C₂⁴	1	2	yes	—
434	#3536	C₂×C₁₃	1	1	yes	characteristic, complemented
435	#3486	C₂×C₁₃	1	1	yes	characteristic, complemented
436	#3316	C₂×C₁₃	1	2	yes	complemented
437	#3308	C₂×C₁₃	1	2	yes	complemented
438	#3299	C₂×C₁₃	1	2	yes	complemented
439	#3298	C₂×C₁₃	1	2	yes	complemented
440	#3285	C₂×C₁₃	1	2	yes	complemented
441	#3282	C₂×C₁₃	1	2	yes	complemented
442	#3270	C₂×C₁₃	1	2	yes	complemented
443	#3266	C₂×C₁₃	1	2	yes	complemented
444	#3225	C₂×C₁₃	1	2	yes	complemented
445	#3201	C₂×C₁₃	1	2	yes	complemented
446	#3190	C₂×C₁₃	1	1	yes	characteristic, complemented
447	#3188	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3121	C₂×C₁₃	1	2	yes	complemented
449	#3013	C₂×C₁₃	1	2	yes	complemented
450	C₂×#451	C₂×C₁₃	1	1	yes	characteristic, complemented
451	C₂×#448	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#2977	C₂×C₁₃	1	1	yes	characteristic, complemented
453	C₂³×C₁₃	—	2	2	no	—
454	C₂³×C₁₃	—	2	2	no	—
455	C₂³×C₁₃	—	2	1	no	—
456	C₂³×C₁₃	—	2	2	no	—
457	C₂³×C₁₃	—	4	1	no	—
458	C₂³×C₁₃	—	4	2	no	—
459	C₂³×C₁₃	—	8	1	no	—
460	C₂³×C₁₃	—	8	1	no	—
461	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
462	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
463	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
464	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
465	Q₈×C₁₃	—	2	4	no	—
466	Q₈×C₁₃	—	2	2	no	—
467	Q₈×C₁₃	—	2	2	no	—
468	Q₈×C₁₃	—	2	2	no	—
469	Q₈×C₁₃	—	2	2	no	—
470	Q₈×C₁₃	—	2	2	no	—
471	Q₈×C₁₃	—	2	2	no	—
472	Q₈×C₁₃	—	4	1	no	—
473	Q₈×C₁₃	—	4	4	no	—
474	Q₈×C₁₃	—	4	4	no	—
475	Q₈×C₁₃	—	4	4	no	—
476	Q₈×C₁₃	—	4	2	no	—
477	Q₈×C₁₃	—	8	1	no	—
478	Q₈×C₁₃	—	8	2	no	—
479	Q₈×C₁₃	H(5,𝔽₂)	1	4	yes	—
480	D₄×C₁₃	—	2	4	no	—
481	D₄×C₁₃	—	2	4	no	—
482	D₄×C₁₃	—	2	2	no	—
483	D₄×C₁₃	—	2	2	no	—
484	D₄×C₁₃	—	2	2	no	—
485	D₄×C₁₃	—	4	1	no	—
486	D₄×C₁₃	—	4	2	no	—
487	D₄×C₁₃	—	4	4	no	—
488	D₄×C₁₃	—	4	2	no	—
489	D₄×C₁₃	—	4	2	no	—
490	D₄×C₁₃	—	4	4	no	—
491	D₄×C₁₃	—	4	2	no	—
492	D₄×C₁₃	—	8	1	no	—
493	D₄×C₁₃	—	8	2	no	—
494	D₄×C₁₃	—	8	2	no	—
495	D₄×C₁₃	—	8	2	no	—
496	C₂×C₄×C₁₃	—	2	4	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	2	2	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	4	1	no	—
511	C₂×C₄×C₁₃	—	4	1	no	—
512	C₂×C₄×C₁₃	—	4	1	no	—
513	C₂×C₄×C₁₃	—	4	4	no	—
514	C₂×C₄×C₁₃	—	4	4	no	—
515	C₂×C₄×C₁₃	—	4	4	no	—
516	C₂×C₄×C₁₃	—	4	4	no	—
517	C₂×C₄×C₁₃	—	4	2	no	—
518	C₂×C₄×C₁₃	—	4	2	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	8	2	no	—
521	C₂×C₄×C₁₃	—	8	2	no	—
522	C₂×C₄×C₁₃	—	8	1	no	—
523	C₂×C₄×C₁₃	—	8	1	no	—
524	C₂×C₄×C₁₃	—	8	2	no	—
525	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
526	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
527	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
529	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
530	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
531	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
532	C₈×C₁₃	—	2	2	no	—
533	C₈×C₁₃	—	2	2	no	—
534	C₈×C₁₃	—	2	2	no	—
535	C₈×C₁₃	—	2	2	no	—
536	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
538	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
539	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
540	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
541	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
542	#562	—	2	2	no	—
543	#554	C₂²×C₁₃	1	2	yes	—
544	D₄×Q₈	—	2	1	no	—
545	D₄×Q₈	—	2	1	no	—
546	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
547	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
548	#548	—	2	1	no	—
549	#548	—	2	1	no	—
550	#548	C₂²×C₁₃	1	2	yes	—
551	#548	C₂²×C₁₃	1	2	yes	—
552	#548	C₂²×C₁₃	1	2	yes	complemented
553	#547	C₂²×C₁₃	1	2	yes	—
554	#546	—	2	2	no	—
555	#546	C₂²×C₁₃	1	2	yes	—
556	#543	—	2	1	no	—
557	#542	C₂²×C₁₃	1	2	yes	—
558	#539	—	2	1	no	—
559	#538	—	2	1	no	—
560	#537	—	2	1	no	—
561	#537	C₂²×C₁₃	1	2	yes	—
562	#536	—	2	2	no	—
563	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
564	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
565	#525	—	2	2	no	—
566	#525	C₂²×C₁₃	1	1	yes	characteristic
567	#525	C₂²×C₁₃	1	1	yes	characteristic
568	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
569	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
570	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
571	#497	C₂²×C₁₃	1	2	yes	complemented
572	#495	C₂²×C₁₃	1	2	yes	complemented
573	#489	C₂²×C₁₃	1	2	yes	complemented
574	#487	C₂²×C₁₃	1	2	yes	complemented
575	#485	C₂²×C₁₃	1	2	yes	complemented
576	#484	C₂²×C₁₃	1	1	yes	characteristic
577	#484	C₂²×C₁₃	1	2	yes	complemented
578	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
579	#483	C₂²×C₁₃	1	2	yes	complemented
580	#482	C₂²×C₁₃	1	2	yes	—
581	#481	C₂²×C₁₃	1	1	yes	characteristic
582	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
583	#477	C₂²×C₁₃	1	2	yes	complemented
584	#475	C₂²×C₁₃	1	2	yes	complemented
585	#470	C₂²×C₁₃	1	2	yes	complemented
586	#468	C₂²×C₁₃	1	2	yes	complemented
587	#467	C₂²×C₁₃	1	2	yes	—
588	#467	C₂²×C₁₃	1	2	yes	complemented
589	#466	C₂²×C₁₃	1	2	yes	—
590	#465	C₂²×C₁₃	1	2	yes	—
591	#465	C₂²×C₁₃	1	2	yes	—
592	#465	C₂²×C₁₃	1	2	yes	complemented
593	#464	C₂²×C₁₃	1	2	yes	complemented
594	#464	C₂²×C₁₃	1	2	yes	complemented
595	#464	C₂²×C₁₃	1	2	yes	complemented
596	#463	C₂²×C₁₃	1	2	yes	complemented
597	#462	C₂²×C₁₃	1	2	yes	complemented
598	#461	C₂²×C₁₃	1	2	yes	complemented
599	#452	C₂²×C₁₃	1	2	yes	complemented
600	#452	C₂²×C₁₃	1	2	yes	complemented
601	#452	C₂²×C₁₃	1	2	yes	complemented
602	#452	C₂²×C₁₃	1	2	yes	complemented
603	#451	C₂²×C₁₃	1	2	yes	—
604	#451	C₂²×C₁₃	1	2	yes	—
605	#451	C₂²×C₁₃	1	2	yes	complemented
606	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#451	C₂²×C₁₃	1	2	yes	complemented
608	#451	C₂²×C₁₃	1	2	yes	complemented
609	#450	C₂²×C₁₃	1	1	yes	characteristic
610	#449	C₂²×C₁₃	1	2	yes	—
611	#449	C₂²×C₁₃	1	2	yes	complemented
612	#448	C₂²×C₁₃	1	2	yes	—
613	#448	C₂²×C₁₃	1	2	yes	—
614	#448	C₂²×C₁₃	1	2	yes	—
615	#448	C₂²×C₁₃	1	2	yes	—
616	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#448	C₂²×C₁₃	1	2	yes	complemented
618	#447	C₂²×C₁₃	1	1	yes	characteristic
619	#441	C₂²×C₁₃	1	2	yes	complemented
620	#440	C₂²×C₁₃	1	2	yes	complemented
621	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
622	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
623	#435	C₂²×C₁₃	1	2	yes	—
624	#435	C₂²×C₁₃	1	2	yes	complemented
625	C₈×D₄	C₂²×C₁₃	1	2	yes	—
626	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
627	#433	C₂²×C₁₃	1	2	yes	complemented
628	#417	C₂²×C₁₃	1	2	yes	complemented
629	C₂×#103	C₂²×C₁₃	1	2	yes	—
630	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
631	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
632	#408	C₂²×C₁₃	1	2	yes	complemented
633	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
634	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
635	C₂²×C₁₃	—	2	1	no	—
636	C₂²×C₁₃	—	2	1	no	—
637	C₂²×C₁₃	—	2	1	no	—
638	C₂²×C₁₃	—	2	1	no	—
639	C₂²×C₁₃	—	2	1	no	—
640	C₂²×C₁₃	—	2	2	no	—
641	C₂²×C₁₃	—	2	2	no	—
642	C₂²×C₁₃	—	2	1	no	—
643	C₂²×C₁₃	—	2	2	no	—
644	C₂²×C₁₃	—	2	1	no	—
645	C₂²×C₁₃	—	4	4	no	—
646	C₂²×C₁₃	—	4	1	no	—
647	C₂²×C₁₃	—	4	2	no	—
648	C₂²×C₁₃	—	4	2	no	—
649	C₂²×C₁₃	—	4	1	no	—
650	C₂²×C₁₃	—	4	1	no	—
651	C₂²×C₁₃	—	4	2	no	—
652	C₂²×C₁₃	—	16	2	no	—
653	C₂²×C₁₃	#577	1	2	yes	—
654	C₂²×C₁₃	#578	1	2	yes	—
655	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
656	C₄×C₁₃	—	2	4	no	—
657	C₄×C₁₃	—	2	1	no	—
658	C₄×C₁₃	—	2	2	no	—
659	C₄×C₁₃	—	2	1	no	—
660	C₄×C₁₃	—	2	1	no	—
661	C₄×C₁₃	—	2	2	no	—
662	C₄×C₁₃	—	2	2	no	—
663	C₄×C₁₃	—	4	1	no	—
664	C₄×C₁₃	—	4	2	no	—
665	C₄×C₁₃	—	4	2	no	—
666	C₄×C₁₃	—	4	2	no	—
667	C₄×C₁₃	—	4	2	no	—
668	C₄×C₁₃	—	4	1	no	—
669	C₄×C₁₃	—	4	1	no	—
670	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
671	2₋¹⁺⁴	—	4	4	no	—
672	C₂×#41	—	2	2	no	—
673	C₂×#41	—	2	1	no	—
674	C₂×#41	—	2	2	no	—
675	C₂×#41	C₂³×C₁₃	1	2	yes	—
676	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
677	C₂×#41	C₂³×C₁₃	1	2	yes	—
678	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
679	C₂²×Q₈	—	2	1	no	—
680	C₂²×Q₈	—	2	1	no	—
681	C₂²×Q₈	—	2	1	no	—
682	C₂²×Q₈	—	2	1	no	—
683	C₂²×Q₈	—	4	4	no	—
684	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
685	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
686	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
687	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
688	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
689	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
690	C₂²×D₄	—	2	1	no	—
691	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
692	C₂³×C₄	—	2	1	no	—
693	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
694	#137	—	4	4	no	—
695	#135	—	4	4	no	—
696	C₂×Q₁₆	—	4	4	no	—
697	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
698	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
699	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
701	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
702	C₂×SD₁₆	—	4	4	no	—
703	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×D₈	C₂³×C₁₃	1	2	yes	—
710	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
712	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
713	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	2	no	—
716	C₄⋊Q₈	—	2	2	no	—
717	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
718	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
719	#126	—	2	2	no	—
720	#125	—	2	2	no	—
721	#124	—	2	1	no	—
722	#124	—	2	2	no	—
723	#124	—	2	2	no	—
724	#124	—	2	2	no	—
725	#124	—	2	2	no	—
726	#124	C₂³×C₁₃	1	2	yes	—
727	#124	C₂³×C₁₃	1	2	yes	—
728	#123	—	2	2	no	—
729	#123	—	2	1	no	—
730	#123	—	2	2	no	—
731	#123	—	2	2	no	—
732	#123	—	2	2	no	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	D₄×C₁₃	1	2	yes	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	1	no	—
738	C₂²⋊Q₈	—	2	1	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	—	2	2	no	—
741	C₂²⋊Q₈	—	2	1	no	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	2	no	—
744	C₂²⋊Q₈	—	2	2	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
753	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
757	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
759	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
760	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	—	2	2	no	—
765	#121	—	2	2	no	—
766	#121	—	2	2	no	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	2	no	—
770	#121	D₄×C₁₃	1	1	yes	characteristic
771	#121	D₄×C₁₃	1	1	yes	characteristic
772	#121	C₂³×C₁₃	1	2	yes	—
773	#121	C₂³×C₁₃	1	2	yes	—
774	#121	C₂³×C₁₃	1	1	yes	characteristic
775	#121	C₂³×C₁₃	1	1	yes	characteristic
776	#121	C₂³×C₁₃	1	2	yes	—
777	#120	—	2	1	no	—
778	#120	—	2	2	no	—
779	#120	D₄×C₁₃	1	2	yes	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
783	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
784	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	2	no	—
793	C₄×D₄	C₂³×C₁₃	1	2	yes	—
794	C₄×D₄	C₂³×C₁₃	1	2	yes	—
795	C₄×D₄	C₂³×C₁₃	1	2	yes	—
796	#117	—	2	2	no	—
797	#117	C₂³×C₁₃	1	1	yes	characteristic
798	#117	C₂³×C₁₃	1	1	yes	characteristic
799	C₂×C₄⋊C₄	—	2	1	no	—
800	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
802	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
803	C₂×C₂²⋊C₄	—	2	1	no	—
804	C₂×C₂²⋊C₄	—	2	1	no	—
805	C₂×C₂²⋊C₄	—	2	2	no	—
806	#107	C₂³×C₁₃	1	2	yes	—
807	#107	C₂³×C₁₃	1	2	yes	—
808	#106	C₂³×C₁₃	1	2	yes	—
809	#106	C₂³×C₁₃	1	2	yes	—
810	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
811	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
812	#103	C₂³×C₁₃	1	2	yes	—
813	#103	C₂³×C₁₃	1	2	yes	—
814	#103	C₂³×C₁₃	1	2	yes	—
815	#103	C₂³×C₁₃	1	2	yes	—
816	#103	C₂³×C₁₃	1	2	yes	—
817	#103	C₂³×C₁₃	1	2	yes	—
818	#103	C₂³×C₁₃	1	2	yes	—
819	#103	C₂³×C₁₃	1	2	yes	—
820	#103	C₂³×C₁₃	1	2	yes	—
821	#103	C₂³×C₁₃	1	2	yes	—
822	#103	C₂³×C₁₃	1	2	yes	—
823	#103	C₂³×C₁₃	1	2	yes	—
824	#102	C₂³×C₁₃	1	2	yes	—
825	#102	C₂³×C₁₃	1	2	yes	—
826	#102	C₂³×C₁₃	1	2	yes	—
827	#102	C₂³×C₁₃	1	2	yes	—
828	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
829	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
830	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
832	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
833	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
834	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
835	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
836	#97	C₂³×C₁₃	1	2	yes	—
837	C₄×C₈	C₂³×C₁₃	1	2	yes	—
838	C₂×C₁₃	—	2	2	no	—
839	C₂×C₁₃	—	2	2	no	—
840	C₂×C₁₃	—	4	2	no	—
841	C₂×C₁₃	—	4	1	no	—
842	C₂×C₁₃	—	8	1	no	—
843	C₂×C₁₃	—	8	2	no	—
844	C₂×C₁₃	#3484	1	1	yes	characteristic
845	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
846	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
847	C₂⁴	—	2	1	no	—
848	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
849	#41	—	2	4	no	—
850	#41	—	4	2	no	—
851	#41	—	4	2	no	—
852	#41	—	4	2	no	—
853	#41	—	4	8	no	—
854	#41	—	4	2	no	—
855	#41	—	4	2	no	—
856	#41	—	4	4	no	—
857	#41	—	8	4	no	—
858	C₂×Q₈	—	2	4	no	—
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	2	no	—
861	C₂×Q₈	—	2	2	no	—
862	C₂×Q₈	—	2	1	no	—
863	C₂×Q₈	—	2	2	no	—
864	C₂×Q₈	—	2	1	no	—
865	C₂×Q₈	—	2	2	no	—
866	C₂×Q₈	—	2	4	no	—
867	C₂×Q₈	—	2	4	no	—
868	C₂×Q₈	—	2	4	no	—
869	C₂×Q₈	—	4	2	no	—
870	C₂×Q₈	—	4	2	no	—
871	C₂×Q₈	—	4	2	no	—
872	C₂×Q₈	—	4	2	no	—
873	C₂×Q₈	—	4	4	no	—
874	C₂×Q₈	—	4	2	no	—
875	C₂×Q₈	—	4	4	no	—
876	C₂×Q₈	—	4	4	no	—
877	C₂×Q₈	—	4	4	no	—
878	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
879	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
880	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
881	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
882	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
883	C₂×D₄	—	2	1	no	—
884	C₂×D₄	—	2	1	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	1	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	2	no	—
891	C₂×D₄	—	2	1	no	—
892	C₂×D₄	—	4	2	no	—
893	C₂×D₄	—	8	2	no	—
894	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
895	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
896	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
897	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
898	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	4	2	no	—
914	C₂²×C₄	—	4	4	no	—
915	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
917	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
918	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
919	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
921	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
922	Q₁₆	—	2	4	no	—
923	Q₁₆	—	2	4	no	—
924	Q₁₆	—	4	2	no	—
925	Q₁₆	—	4	2	no	—
926	Q₁₆	—	4	2	no	—
927	SD₁₆	—	2	4	no	—
928	SD₁₆	—	2	4	no	—
929	SD₁₆	—	4	2	no	—
930	SD₁₆	—	4	2	no	—
931	SD₁₆	—	4	2	no	—
932	SD₁₆	—	4	2	no	—
933	D₈	—	4	2	no	—
934	M₁₆	—	4	2	no	—
935	C₂×C₈	—	4	2	no	—
936	C₂×C₈	—	4	2	no	—
937	C₂×C₈	—	4	2	no	—
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
940	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
941	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
959	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
960	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
961	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
962	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
965	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
966	C₂²⋊C₄	—	2	2	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	1	no	—
969	C₂²⋊C₄	—	2	1	no	—
970	C₂²⋊C₄	—	2	1	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	2	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
989	C₄²	—	2	2	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	2	1	no	—
992	C₄²	—	2	2	no	—
993	C₄²	C₂⁴×C₁₃	1	2	yes	—
994	C₁₃	#61632	1	1	yes	characteristic, direct product factor, Sylow
995	C₂³	—	2	2	no	—
996	C₂³	—	2	2	no	—
997	C₂³	—	2	1	no	—
998	C₂³	—	2	2	no	—
999	C₂³	—	4	1	no	—
1000	C₂³	—	4	2	no	—
1001	C₂³	—	8	1	no	—
1002	C₂³	—	8	1	no	—
1003	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1004	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1005	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1006	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1007	Q₈	—	2	4	no	—
1008	Q₈	—	2	2	no	—
1009	Q₈	—	2	2	no	—
1010	Q₈	—	2	2	no	—
1011	Q₈	—	2	2	no	—
1012	Q₈	—	2	2	no	—
1013	Q₈	—	2	2	no	—
1014	Q₈	—	4	1	no	—
1015	Q₈	—	4	4	no	—
1016	Q₈	—	4	4	no	—
1017	Q₈	—	4	4	no	—
1018	Q₈	—	4	2	no	—
1019	Q₈	—	8	1	no	—
1020	Q₈	—	8	2	no	—
1021	Q₈	C₁₃×H(5,𝔽₂)	1	4	yes	—
1022	D₄	—	2	4	no	—
1023	D₄	—	2	4	no	—
1024	D₄	—	2	2	no	—
1025	D₄	—	2	2	no	—
1026	D₄	—	2	2	no	—
1027	D₄	—	4	1	no	—
1028	D₄	—	4	2	no	—
1029	D₄	—	4	4	no	—
1030	D₄	—	4	2	no	—
1031	D₄	—	4	4	no	—
1032	D₄	—	4	2	no	—
1033	D₄	—	4	2	no	—
1034	D₄	—	8	1	no	—
1035	D₄	—	8	2	no	—
1036	D₄	—	8	2	no	—
1037	D₄	—	8	2	no	—
1038	C₂×C₄	—	2	4	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	4	1	no	—
1053	C₂×C₄	—	4	1	no	—
1054	C₂×C₄	—	4	1	no	—
1055	C₂×C₄	—	4	4	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	4	4	no	—
1058	C₂×C₄	—	4	4	no	—
1059	C₂×C₄	—	4	2	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	8	2	no	—
1063	C₂×C₄	—	8	2	no	—
1064	C₂×C₄	—	8	1	no	—
1065	C₂×C₄	—	8	1	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1068	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1070	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1072	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1073	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1074	C₈	—	2	2	no	—
1075	C₈	—	2	2	no	—
1076	C₈	—	2	2	no	—
1077	C₈	—	2	2	no	—
1078	C₂²	—	2	1	no	—
1079	C₂²	—	2	1	no	—
1080	C₂²	—	2	1	no	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	1	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	1	no	—
1086	C₂²	—	2	1	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	4	4	no	—
1089	C₂²	—	4	2	no	—
1090	C₂²	—	4	1	no	—
1091	C₂²	—	4	1	no	—
1092	C₂²	—	4	2	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	2	no	—
1095	C₂²	—	16	2	no	—
1096	C₂²	C₁₃×#577	1	2	yes	—
1097	C₂²	C₁₃×#578	1	2	yes	—
1098	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1099	C₄	—	2	2	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	4	no	—
1102	C₄	—	2	1	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	2	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	2	no	—
1112	C₄	—	4	2	no	—
1113	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1114	C₂	—	2	2	no	—
1115	C₂	—	2	2	no	—
1116	C₂	—	4	1	no	—
1117	C₂	—	4	2	no	—
1118	C₂	—	8	2	no	—
1119	C₂	—	8	1	no	—
1120	C₂	C₁₃×#3484	1	1	yes	characteristic
1121	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1122	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#525 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₁₃×#3536	C₂	semidirect
2. C₁₃×#3486	C₂	semidirect
3. C₁₃×#3316	C₂	semidirect
4. C₁₃×#3308	C₂	semidirect
5. C₁₃×#3299	C₂	semidirect
6. C₁₃×#3298	C₂	semidirect
7. C₁₃×#3285	C₂	semidirect
8. C₁₃×#3282	C₂	semidirect
9. C₁₃×#3270	C₂	semidirect
10. C₁₃×#3266	C₂	semidirect
11. C₁₃×#3225	C₂	semidirect
12. C₁₃×#3201	C₂	semidirect
13. C₁₃×#3190	C₂	semidirect
14. C₁₃×#3188	C₂	semidirect
15. C₁₃×#3121	C₂	semidirect
16. C₁₃×#3013	C₂	semidirect
17. C₂×C₁₃×#451	C₂	semidirect
18. C₂×C₁₃×#448	C₂	semidirect
19. C₁₃×#2977	C₂	semidirect
20. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
22. C₂×C₁₃×#137	C₂²	semidirect
23. C₂×C₁₃×#135	C₂²	semidirect
24. C₂²×C₁₃×Q₁₆	C₂²	semidirect
31. D₄×Q₈×C₁₃	C₂²	semidirect
36. C₁₃×#548	C₂²	semidirect
47. C₁₃×#536	C₂²	semidirect
48. C₁₃×#536	C₂²	semidirect
54. C₁₃×#519	C₂²	semidirect
55. C₁₃×#497	C₂²	semidirect
56. C₁₃×#495	C₂²	semidirect
57. C₁₃×#489	C₂²	semidirect
58. C₁₃×#487	C₂²	semidirect
59. C₁₃×#485	C₂²	semidirect
61. C₁₃×#484	C₂²	semidirect
62. C₁₃×#483	C₂²	semidirect
63. C₁₃×#483	C₂²	semidirect
66. C₁₃×#480	C₂²	semidirect
67. C₁₃×#477	C₂²	semidirect
68. C₁₃×#475	C₂²	semidirect
69. C₁₃×#470	C₂²	semidirect
70. C₁₃×#468	C₂²	semidirect
72. C₁₃×#467	C₂²	semidirect
76. C₁₃×#465	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#464	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#462	C₂²	semidirect
82. C₁₃×#461	C₂²	semidirect
83. C₁₃×#452	C₂²	semidirect
84. C₁₃×#452	C₂²	semidirect
85. C₁₃×#452	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
89. C₁₃×#451	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
92. C₁₃×#451	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
100. C₁₃×#448	C₂²	semidirect
101. C₁₃×#448	C₂²	semidirect
103. C₁₃×#441	C₂²	semidirect
104. C₁₃×#440	C₂²	semidirect
105. C₄×C₁₃×Q₁₆	C₂²	semidirect
106. C₄×C₁₃×SD₁₆	C₂²	semidirect
108. C₁₃×#435	C₂²	semidirect
110. C₈×D₄×C₁₃	C₂²	semidirect
111. C₁₃×#433	C₂²	semidirect
112. C₁₃×#417	C₂²	semidirect
114. C₂×C₁₃×#103	C₂²	semidirect
115. C₂×C₁₃×#103	C₂²	semidirect
116. C₁₃×#408	C₂²	semidirect
286. #61632	C₁₃	direct (N × H)
434. #3536	C₂×C₁₃	semidirect
435. #3486	C₂×C₁₃	semidirect
436. #3316	C₂×C₁₃	semidirect
437. #3308	C₂×C₁₃	semidirect
438. #3299	C₂×C₁₃	semidirect
439. #3298	C₂×C₁₃	semidirect
440. #3285	C₂×C₁₃	semidirect
441. #3282	C₂×C₁₃	semidirect
442. #3270	C₂×C₁₃	semidirect
443. #3266	C₂×C₁₃	semidirect
444. #3225	C₂×C₁₃	semidirect
445. #3201	C₂×C₁₃	semidirect
446. #3190	C₂×C₁₃	semidirect
447. #3188	C₂×C₁₃	semidirect
448. #3121	C₂×C₁₃	semidirect
449. #3013	C₂×C₁₃	semidirect
450. C₂×#451	C₂×C₁₃	semidirect
451. C₂×#448	C₂×C₁₃	semidirect
452. #2977	C₂×C₁₃	semidirect
536. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
538. C₂×#137	C₂²×C₁₃	semidirect
539. C₂×#135	C₂²×C₁₃	semidirect
540. C₂²×Q₁₆	C₂²×C₁₃	semidirect
547. D₄×Q₈	C₂²×C₁₃	semidirect
552. #548	C₂²×C₁₃	semidirect
563. #536	C₂²×C₁₃	semidirect
564. #536	C₂²×C₁₃	semidirect
570. #519	C₂²×C₁₃	semidirect
571. #497	C₂²×C₁₃	semidirect
572. #495	C₂²×C₁₃	semidirect
573. #489	C₂²×C₁₃	semidirect
574. #487	C₂²×C₁₃	semidirect
575. #485	C₂²×C₁₃	semidirect
577. #484	C₂²×C₁₃	semidirect
578. #483	C₂²×C₁₃	semidirect
579. #483	C₂²×C₁₃	semidirect
582. #480	C₂²×C₁₃	semidirect
583. #477	C₂²×C₁₃	semidirect
584. #475	C₂²×C₁₃	semidirect
585. #470	C₂²×C₁₃	semidirect
586. #468	C₂²×C₁₃	semidirect
588. #467	C₂²×C₁₃	semidirect
592. #465	C₂²×C₁₃	semidirect
593. #464	C₂²×C₁₃	semidirect
594. #464	C₂²×C₁₃	semidirect
595. #464	C₂²×C₁₃	semidirect
596. #463	C₂²×C₁₃	semidirect
597. #462	C₂²×C₁₃	semidirect
598. #461	C₂²×C₁₃	semidirect
599. #452	C₂²×C₁₃	semidirect
600. #452	C₂²×C₁₃	semidirect
601. #452	C₂²×C₁₃	semidirect
602. #452	C₂²×C₁₃	semidirect
605. #451	C₂²×C₁₃	semidirect
606. #451	C₂²×C₁₃	semidirect
607. #451	C₂²×C₁₃	semidirect
608. #451	C₂²×C₁₃	semidirect
611. #449	C₂²×C₁₃	semidirect
616. #448	C₂²×C₁₃	semidirect
617. #448	C₂²×C₁₃	semidirect
619. #441	C₂²×C₁₃	semidirect
620. #440	C₂²×C₁₃	semidirect
621. C₄×Q₁₆	C₂²×C₁₃	semidirect
622. C₄×SD₁₆	C₂²×C₁₃	semidirect
624. #435	C₂²×C₁₃	semidirect
626. C₈×D₄	C₂²×C₁₃	semidirect
627. #433	C₂²×C₁₃	semidirect
628. #417	C₂²×C₁₃	semidirect
630. C₂×#103	C₂²×C₁₃	semidirect
631. C₂×#103	C₂²×C₁₃	semidirect
632. #408	C₂²×C₁₃	semidirect
994. C₁₃	#61632	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×#3536	2
C₁₃×#3486	2
C₁₃×#3316	2
C₁₃×#3308	2
C₁₃×#3299	2
C₁₃×#3298	2
C₁₃×#3285	2
C₁₃×#3282	2
C₁₃×#3270	2
C₁₃×#3266	2
C₁₃×#3225	2
C₁₃×#3201	2
C₁₃×#3190	2
C₁₃×#3188	2
C₁₃×#3121	2
C₁₃×#3013	2
C₂×C₁₃×#451	2
C₂×C₁₃×#448	2
C₁₃×#2977	2
#61632	13

Subgroups — C13×#61632 #15747971

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61632 #15747971