Subgroups — C₁₃×#61622 #15747961

Order 3328.

2028 conjugacy classes of subgroups.

The subgroup lattice has 1168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3489	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3327	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
7	D₄×C₁₃×Q₁₆	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3276	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×#3223	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3195	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3189	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3120	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3011	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
21	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
25	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
27	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
28	C₁₃×#563	—	2	2	no	—
29	C₁₃×#552	C₂²	1	2	yes	—
30	C₁₃×#552	C₂²	1	2	yes	complemented
31	C₁₃×#551	—	2	2	no	—
32	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
33	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
34	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
35	C₁₃×#548	C₂²	1	2	yes	—
36	C₁₃×#547	—	2	2	no	—
37	C₁₃×#547	C₂²	1	2	yes	—
38	C₁₃×#546	—	2	2	no	—
39	C₁₃×#546	C₂²	1	2	yes	—
40	C₁₃×#544	—	2	1	no	—
41	C₁₃×#544	—	2	1	no	—
42	C₁₃×#541	C₂²	1	2	yes	complemented
43	C₁₃×#539	—	2	1	no	—
44	C₁₃×#539	—	2	1	no	—
45	C₁₃×#537	—	2	1	no	—
46	C₁₃×#537	C₂²	1	1	yes	characteristic
47	C₁₃×#536	—	2	1	no	—
48	C₁₃×#536	C₂²	1	1	yes	characteristic
49	C₁₃×#536	C₂²	1	2	yes	complemented
50	C₁₃×#525	—	2	1	no	—
51	C₁₃×#525	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×C₂²⋊Q₈	—	2	1	no	—
53	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
56	C₁₃×#520	C₂²	1	1	yes	characteristic
57	C₁₃×#497	C₂²	1	2	yes	complemented
58	C₁₃×#494	C₂²	1	2	yes	complemented
59	C₁₃×#491	C₂²	1	2	yes	complemented
60	C₁₃×#488	C₂²	1	2	yes	complemented
61	C₁₃×#485	C₂²	1	2	yes	complemented
62	C₁₃×#484	C₂²	1	2	yes	complemented
63	C₁₃×#484	C₂²	1	2	yes	complemented
64	C₁₃×#483	C₂²	1	2	yes	—
65	C₁₃×#483	C₂²	1	2	yes	complemented
66	C₁₃×#482	C₂²	1	2	yes	complemented
67	C₁₃×#479	C₂²	1	2	yes	complemented
68	C₁₃×#478	C₂²	1	2	yes	complemented
69	C₁₃×#470	C₂²	1	2	yes	complemented
70	C₁₃×#470	C₂²	1	2	yes	complemented
71	C₁₃×#470	C₂²	1	2	yes	complemented
72	C₁₃×#468	C₂²	1	2	yes	complemented
73	C₁₃×#467	C₂²	1	2	yes	—
74	C₁₃×#467	C₂²	1	2	yes	—
75	C₁₃×#467	C₂²	1	2	yes	complemented
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×#462	C₂²	1	2	yes	complemented
80	C₁₃×#462	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	—
84	C₁₃×#452	C₂²	1	2	yes	—
85	C₁₃×#452	C₂²	1	2	yes	—
86	C₁₃×#452	C₂²	1	2	yes	—
87	C₁₃×#452	C₂²	1	2	yes	—
88	C₁₃×#452	C₂²	1	2	yes	—
89	C₁₃×#452	C₂²	1	2	yes	complemented
90	C₁₃×#452	C₂²	1	2	yes	complemented
91	C₁₃×#451	C₂²	1	2	yes	—
92	C₁₃×#451	C₂²	1	2	yes	—
93	C₁₃×#451	C₂²	1	2	yes	complemented
94	C₁₃×#451	C₂²	1	2	yes	complemented
95	C₁₃×#451	C₂²	1	2	yes	complemented
96	C₁₃×#451	C₂²	1	2	yes	complemented
97	C₁₃×#451	C₂²	1	2	yes	complemented
98	C₁₃×#451	C₂²	1	2	yes	complemented
99	C₁₃×#450	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	complemented
101	C₁₃×#441	C₂²	1	2	yes	complemented
102	C₁₃×#440	C₂²	1	2	yes	complemented
103	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
104	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
105	C₁₃×#436	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	—
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₈×D₄×C₁₃	C₂²	1	2	yes	—
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#419	C₂²	1	2	yes	complemented
111	C₁₃×#417	C₂²	1	1	yes	characteristic
112	C₁₃×#417	C₂²	1	1	yes	characteristic
113	C₁₃×#416	C₂²	1	2	yes	complemented
114	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
115	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
116	C₁₃×#408	C₂²	1	2	yes	complemented
117	C₁₃×#407	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
119	C₁₃×2₋¹⁺⁴	—	4	2	no	—
120	C₁₃×2₋¹⁺⁴	—	4	2	no	—
121	C₂×C₁₃×#41	—	2	1	no	—
122	C₂×C₁₃×#41	—	2	2	no	—
123	C₂×C₁₃×#41	—	2	1	no	—
124	C₂×C₁₃×#41	—	2	1	no	—
125	C₂×C₁₃×#41	—	4	2	no	—
126	C₂×C₁₃×#41	—	4	2	no	—
127	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
128	C₂×C₁₃×#41	C₂³	1	2	yes	—
129	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
130	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
131	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
132	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
133	C₂²×Q₈×C₁₃	—	2	1	no	—
134	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
136	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
137	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃	—	2	1	no	—
141	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃	—	2	1	no	—
143	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₁₃×#137	—	4	2	no	—
145	C₁₃×#137	—	4	4	no	—
146	C₁₃×#137	—	4	2	no	—
147	C₂×C₁₃×Q₁₆	—	4	2	no	—
148	C₂×C₁₃×Q₁₆	—	4	4	no	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	—	4	2	no	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
167	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	—	2	2	no	—
169	C₁₃×C₄⋊Q₈	—	2	2	no	—
170	C₁₃×C₄⋊Q₈	—	2	2	no	—
171	C₁₃×C₄⋊Q₈	—	2	2	no	—
172	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	C₂³	1	2	yes	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	C₂³	1	2	yes	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	D₄	1	2	yes	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	1	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
212	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
213	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	D₄	1	1	yes	characteristic
228	C₁₃×#121	D₄	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#120	—	2	2	no	—
231	C₁₃×#120	D₄	1	2	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
233	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₁₃×#117	—	2	1	no	—
244	C₁₃×#117	—	2	2	no	—
245	C₁₃×#117	—	2	2	no	—
246	C₁₃×#117	C₂³	1	2	yes	—
247	C₁₃×#117	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
249	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
250	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
251	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
259	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
260	C₁₃×#107	C₂³	1	2	yes	—
261	C₁₃×#107	C₂³	1	2	yes	—
262	C₁₃×#106	C₂³	1	2	yes	—
263	C₁₃×#106	C₂³	1	2	yes	—
264	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
265	C₁₃×C₄⋊C₈	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×#103	C₂³	1	2	yes	—
273	C₁₃×#103	C₂³	1	2	yes	—
274	C₁₃×#103	C₂³	1	2	yes	—
275	C₁₃×#103	C₂³	1	2	yes	—
276	C₁₃×#103	C₂³	1	2	yes	—
277	C₁₃×#103	C₂³	1	2	yes	—
278	C₁₃×#102	C₂³	1	2	yes	—
279	C₁₃×#102	C₂³	1	2	yes	—
280	C₁₃×#102	C₂³	1	2	yes	—
281	C₁₃×#102	C₂³	1	2	yes	—
282	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
284	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
287	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
288	C₁₃×#97	C₂³	1	2	yes	—
289	C₄×C₈×C₁₃	C₂³	1	2	yes	—
290	#61622	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
291	C₂⁴×C₁₃	—	2	1	no	—
292	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
293	C₁₃×#41	—	2	2	no	—
294	C₁₃×#41	—	2	2	no	—
295	C₁₃×#41	—	2	2	no	—
296	C₁₃×#41	—	2	2	no	—
297	C₁₃×#41	—	2	4	no	—
298	C₁₃×#41	—	4	1	no	—
299	C₁₃×#41	—	4	1	no	—
300	C₁₃×#41	—	4	1	no	—
301	C₁₃×#41	—	4	1	no	—
302	C₁₃×#41	—	4	1	no	—
303	C₁₃×#41	—	4	1	no	—
304	C₁₃×#41	—	4	2	no	—
305	C₁₃×#41	—	4	4	no	—
306	C₁₃×#41	—	4	4	no	—
307	C₁₃×#41	—	4	4	no	—
308	C₁₃×#41	—	4	8	no	—
309	C₂×Q₈×C₁₃	—	2	1	no	—
310	C₂×Q₈×C₁₃	—	2	2	no	—
311	C₂×Q₈×C₁₃	—	2	1	no	—
312	C₂×Q₈×C₁₃	—	2	1	no	—
313	C₂×Q₈×C₁₃	—	2	1	no	—
314	C₂×Q₈×C₁₃	—	2	2	no	—
315	C₂×Q₈×C₁₃	—	2	2	no	—
316	C₂×Q₈×C₁₃	—	2	4	no	—
317	C₂×Q₈×C₁₃	—	4	1	no	—
318	C₂×Q₈×C₁₃	—	4	2	no	—
319	C₂×Q₈×C₁₃	—	4	1	no	—
320	C₂×Q₈×C₁₃	—	4	1	no	—
321	C₂×Q₈×C₁₃	—	4	4	no	—
322	C₂×Q₈×C₁₃	—	4	1	no	—
323	C₂×Q₈×C₁₃	—	4	1	no	—
324	C₂×Q₈×C₁₃	—	4	2	no	—
325	C₂×Q₈×C₁₃	—	4	1	no	—
326	C₂×Q₈×C₁₃	—	4	1	no	—
327	C₂×Q₈×C₁₃	—	4	2	no	—
328	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	1	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	4	1	no	—
343	C₂×D₄×C₁₃	—	4	4	no	—
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
347	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	1	no	—
362	C₂²×C₄×C₁₃	—	2	1	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	2	no	—
365	C₂²×C₄×C₁₃	—	4	1	no	—
366	C₂²×C₄×C₁₃	—	4	1	no	—
367	C₂²×C₄×C₁₃	—	4	4	no	—
368	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₁₃×Q₁₆	—	2	4	no	—
376	C₁₃×Q₁₆	—	2	4	no	—
377	C₁₃×Q₁₆	—	4	2	no	—
378	C₁₃×Q₁₆	—	4	2	no	—
379	C₁₃×Q₁₆	—	4	2	no	—
380	C₁₃×Q₁₆	—	4	2	no	—
381	C₁₃×Q₁₆	—	4	2	no	—
382	C₁₃×Q₁₆	—	4	2	no	—
383	C₁₃×SD₁₆	—	2	4	no	—
384	C₁₃×SD₁₆	—	2	4	no	—
385	C₁₃×SD₁₆	—	4	2	no	—
386	C₁₃×SD₁₆	—	4	2	no	—
387	C₁₃×M₁₆	—	4	2	no	—
388	C₁₃×M₁₆	—	4	1	no	—
389	C₁₃×M₁₆	—	4	1	no	—
390	C₂×C₈×C₁₃	—	4	1	no	—
391	C₂×C₈×C₁₃	—	4	1	no	—
392	C₂×C₈×C₁₃	—	4	2	no	—
393	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
394	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
395	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
396	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	—	2	2	no	—
418	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	#3538	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3489	C₂×C₁₃	1	1	yes	characteristic
451	#3327	C₂×C₁₃	1	2	yes	complemented
452	#3315	C₂×C₁₃	1	2	yes	complemented
453	#3312	C₂×C₁₃	1	2	yes	complemented
454	#3296	C₂×C₁₃	1	2	yes	complemented
455	D₄×Q₁₆	C₂×C₁₃	1	2	yes	complemented
456	#3276	C₂×C₁₃	1	2	yes	complemented
457	#3270	C₂×C₁₃	1	2	yes	complemented
458	#3266	C₂×C₁₃	1	2	yes	complemented
459	#3223	C₂×C₁₃	1	2	yes	complemented
460	#3201	C₂×C₁₃	1	2	yes	complemented
461	#3195	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3189	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3120	C₂×C₁₃	1	2	yes	complemented
464	#3011	C₂×C₁₃	1	2	yes	complemented
465	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
466	C₂×#452	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#2976	C₂×C₁₃	1	1	yes	characteristic, complemented
468	C₂³×C₁₃	—	2	1	no	—
469	C₂³×C₁₃	—	2	2	no	—
470	C₂³×C₁₃	—	2	1	no	—
471	C₂³×C₁₃	—	4	1	no	—
472	C₂³×C₁₃	—	4	1	no	—
473	C₂³×C₁₃	—	4	2	no	—
474	C₂³×C₁₃	—	4	2	no	—
475	C₂³×C₁₃	—	8	1	no	—
476	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
478	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
479	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	Q₈×C₁₃	—	2	1	no	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	4	1	no	—
490	Q₈×C₁₃	—	4	4	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	—	4	2	no	—
493	Q₈×C₁₃	—	8	1	no	—
494	Q₈×C₁₃	—	8	1	no	—
495	Q₈×C₁₃	—	8	2	no	—
496	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
497	D₄×C₁₃	—	2	4	no	—
498	D₄×C₁₃	—	2	4	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	1	no	—
501	D₄×C₁₃	—	2	1	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	1	no	—
504	D₄×C₁₃	—	4	2	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
512	C₂×C₄×C₁₃	—	2	4	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	4	1	no	—
530	C₂×C₄×C₁₃	—	4	1	no	—
531	C₂×C₄×C₁₃	—	4	1	no	—
532	C₂×C₄×C₁₃	—	4	2	no	—
533	C₂×C₄×C₁₃	—	4	2	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	4	no	—
536	C₂×C₄×C₁₃	—	4	4	no	—
537	C₂×C₄×C₁₃	—	4	2	no	—
538	C₂×C₄×C₁₃	—	4	2	no	—
539	C₂×C₄×C₁₃	—	4	2	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	8	2	no	—
542	C₂×C₄×C₁₃	—	8	1	no	—
543	C₂×C₄×C₁₃	—	8	1	no	—
544	C₂×C₄×C₁₃	—	8	2	no	—
545	C₂×C₄×C₁₃	—	8	1	no	—
546	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
553	C₈×C₁₃	—	2	2	no	—
554	C₈×C₁₃	—	2	2	no	—
555	C₈×C₁₃	—	2	2	no	—
556	C₈×C₁₃	—	2	2	no	—
557	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
558	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
559	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
560	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
561	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
562	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
563	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
564	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
565	#563	—	2	2	no	—
566	#552	C₂²×C₁₃	1	2	yes	—
567	#552	C₂²×C₁₃	1	2	yes	complemented
568	#551	—	2	2	no	—
569	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
570	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
571	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
572	#548	C₂²×C₁₃	1	2	yes	—
573	#547	—	2	2	no	—
574	#547	C₂²×C₁₃	1	2	yes	—
575	#546	—	2	2	no	—
576	#546	C₂²×C₁₃	1	2	yes	—
577	#544	—	2	1	no	—
578	#544	—	2	1	no	—
579	#541	C₂²×C₁₃	1	2	yes	complemented
580	#539	—	2	1	no	—
581	#539	—	2	1	no	—
582	#537	—	2	1	no	—
583	#537	C₂²×C₁₃	1	1	yes	characteristic
584	#536	—	2	1	no	—
585	#536	C₂²×C₁₃	1	1	yes	characteristic
586	#536	C₂²×C₁₃	1	2	yes	complemented
587	#525	—	2	1	no	—
588	#525	C₂²×C₁₃	1	1	yes	characteristic
589	C₂×C₂²⋊Q₈	—	2	1	no	—
590	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
591	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
592	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
593	#520	C₂²×C₁₃	1	1	yes	characteristic
594	#497	C₂²×C₁₃	1	2	yes	complemented
595	#494	C₂²×C₁₃	1	2	yes	complemented
596	#491	C₂²×C₁₃	1	2	yes	complemented
597	#488	C₂²×C₁₃	1	2	yes	complemented
598	#485	C₂²×C₁₃	1	2	yes	complemented
599	#484	C₂²×C₁₃	1	2	yes	complemented
600	#484	C₂²×C₁₃	1	2	yes	complemented
601	#483	C₂²×C₁₃	1	2	yes	—
602	#483	C₂²×C₁₃	1	2	yes	complemented
603	#482	C₂²×C₁₃	1	2	yes	complemented
604	#479	C₂²×C₁₃	1	2	yes	complemented
605	#478	C₂²×C₁₃	1	2	yes	complemented
606	#470	C₂²×C₁₃	1	2	yes	complemented
607	#470	C₂²×C₁₃	1	2	yes	complemented
608	#470	C₂²×C₁₃	1	2	yes	complemented
609	#468	C₂²×C₁₃	1	2	yes	complemented
610	#467	C₂²×C₁₃	1	2	yes	—
611	#467	C₂²×C₁₃	1	2	yes	—
612	#467	C₂²×C₁₃	1	2	yes	complemented
613	#465	C₂²×C₁₃	1	2	yes	complemented
614	#464	C₂²×C₁₃	1	2	yes	complemented
615	#464	C₂²×C₁₃	1	2	yes	complemented
616	#462	C₂²×C₁₃	1	2	yes	complemented
617	#462	C₂²×C₁₃	1	2	yes	complemented
618	#462	C₂²×C₁₃	1	2	yes	complemented
619	#461	C₂²×C₁₃	1	2	yes	complemented
620	#452	C₂²×C₁₃	1	2	yes	—
621	#452	C₂²×C₁₃	1	2	yes	—
622	#452	C₂²×C₁₃	1	2	yes	—
623	#452	C₂²×C₁₃	1	2	yes	—
624	#452	C₂²×C₁₃	1	2	yes	—
625	#452	C₂²×C₁₃	1	2	yes	—
626	#452	C₂²×C₁₃	1	2	yes	complemented
627	#452	C₂²×C₁₃	1	2	yes	complemented
628	#451	C₂²×C₁₃	1	2	yes	—
629	#451	C₂²×C₁₃	1	2	yes	—
630	#451	C₂²×C₁₃	1	2	yes	complemented
631	#451	C₂²×C₁₃	1	2	yes	complemented
632	#451	C₂²×C₁₃	1	2	yes	complemented
633	#451	C₂²×C₁₃	1	2	yes	complemented
634	#451	C₂²×C₁₃	1	2	yes	complemented
635	#451	C₂²×C₁₃	1	2	yes	complemented
636	#450	C₂²×C₁₃	1	2	yes	—
637	#448	C₂²×C₁₃	1	2	yes	complemented
638	#441	C₂²×C₁₃	1	2	yes	complemented
639	#440	C₂²×C₁₃	1	2	yes	complemented
640	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
641	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
642	#436	C₂²×C₁₃	1	2	yes	complemented
643	#435	C₂²×C₁₃	1	2	yes	—
644	#435	C₂²×C₁₃	1	2	yes	complemented
645	C₈×D₄	C₂²×C₁₃	1	2	yes	—
646	#433	C₂²×C₁₃	1	2	yes	complemented
647	#419	C₂²×C₁₃	1	2	yes	complemented
648	#417	C₂²×C₁₃	1	1	yes	characteristic
649	#417	C₂²×C₁₃	1	1	yes	characteristic
650	#416	C₂²×C₁₃	1	2	yes	complemented
651	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
653	#408	C₂²×C₁₃	1	2	yes	complemented
654	#407	C₂²×C₁₃	1	1	yes	characteristic
655	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
656	C₂²×C₁₃	—	2	1	no	—
657	C₂²×C₁₃	—	2	1	no	—
658	C₂²×C₁₃	—	2	1	no	—
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	2	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	2	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	2	1	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	1	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	8	2	no	—
674	C₂²×C₁₃	—	8	4	no	—
675	C₂²×C₁₃	#578	1	2	yes	—
676	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
677	C₄×C₁₃	—	2	2	no	—
678	C₄×C₁₃	—	2	1	no	—
679	C₄×C₁₃	—	2	2	no	—
680	C₄×C₁₃	—	2	1	no	—
681	C₄×C₁₃	—	2	1	no	—
682	C₄×C₁₃	—	2	2	no	—
683	C₄×C₁₃	—	2	2	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	—	4	2	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	2	no	—
688	C₄×C₁₃	—	4	2	no	—
689	C₄×C₁₃	—	4	2	no	—
690	C₄×C₁₃	—	4	2	no	—
691	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
692	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
693	2₋¹⁺⁴	—	4	2	no	—
694	2₋¹⁺⁴	—	4	2	no	—
695	C₂×#41	—	2	1	no	—
696	C₂×#41	—	2	2	no	—
697	C₂×#41	—	2	1	no	—
698	C₂×#41	—	2	1	no	—
699	C₂×#41	—	4	2	no	—
700	C₂×#41	—	4	2	no	—
701	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×#41	C₂³×C₁₃	1	2	yes	—
703	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
707	C₂²×Q₈	—	2	1	no	—
708	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
709	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
710	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
711	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
714	C₂²×D₄	—	2	1	no	—
715	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
716	C₂³×C₄	—	2	1	no	—
717	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
718	#137	—	4	2	no	—
719	#137	—	4	4	no	—
720	#137	—	4	2	no	—
721	C₂×Q₁₆	—	4	2	no	—
722	C₂×Q₁₆	—	4	4	no	—
723	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
726	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
728	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
729	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
730	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
731	C₂×SD₁₆	—	4	2	no	—
732	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
733	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
734	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
735	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
736	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
737	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
738	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
739	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
740	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
741	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
742	C₄⋊Q₈	—	2	2	no	—
743	C₄⋊Q₈	—	2	2	no	—
744	C₄⋊Q₈	—	2	2	no	—
745	C₄⋊Q₈	—	2	2	no	—
746	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
747	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#126	—	2	2	no	—
752	#125	—	2	2	no	—
753	#125	—	2	2	no	—
754	#125	—	2	2	no	—
755	#125	—	2	2	no	—
756	#125	C₂³×C₁₃	1	2	yes	—
757	#124	—	2	2	no	—
758	#124	—	2	2	no	—
759	#124	C₂³×C₁₃	1	2	yes	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	D₄×C₁₃	1	2	yes	—
769	C₂²⋊Q₈	—	2	1	no	—
770	C₂²⋊Q₈	—	2	1	no	—
771	C₂²⋊Q₈	—	2	1	no	—
772	C₂²⋊Q₈	—	2	1	no	—
773	C₂²⋊Q₈	—	2	1	no	—
774	C₂²⋊Q₈	—	2	1	no	—
775	C₂²⋊Q₈	—	2	1	no	—
776	C₂²⋊Q₈	—	2	1	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	1	no	—
779	C₂²⋊Q₈	—	2	2	no	—
780	C₂²⋊Q₈	—	2	2	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
786	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
787	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
788	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
789	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
790	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
791	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
792	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
793	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
794	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
795	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
796	#121	—	2	1	no	—
797	#121	—	2	2	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	—	2	2	no	—
801	#121	D₄×C₁₃	1	1	yes	characteristic
802	#121	D₄×C₁₃	1	1	yes	characteristic
803	#121	C₂³×C₁₃	1	2	yes	—
804	#120	—	2	2	no	—
805	#120	D₄×C₁₃	1	2	yes	—
806	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
807	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
808	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	2	no	—
813	C₄×D₄	—	2	2	no	—
814	C₄×D₄	C₂³×C₁₃	1	2	yes	—
815	C₄×D₄	C₂³×C₁₃	1	2	yes	—
816	C₄×D₄	C₂³×C₁₃	1	2	yes	—
817	#117	—	2	1	no	—
818	#117	—	2	2	no	—
819	#117	—	2	2	no	—
820	#117	C₂³×C₁₃	1	2	yes	—
821	#117	C₂³×C₁₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	—	2	1	no	—
823	C₂×C₄⋊C₄	—	2	1	no	—
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	—	2	1	no	—
826	C₂×C₄⋊C₄	—	2	2	no	—
827	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
828	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
830	C₂×C₂²⋊C₄	—	2	1	no	—
831	C₂×C₂²⋊C₄	—	2	1	no	—
832	C₂×C₂²⋊C₄	—	2	1	no	—
833	C₂×C₂²⋊C₄	—	2	2	no	—
834	#107	C₂³×C₁₃	1	2	yes	—
835	#107	C₂³×C₁₃	1	2	yes	—
836	#106	C₂³×C₁₃	1	2	yes	—
837	#106	C₂³×C₁₃	1	2	yes	—
838	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
839	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#103	C₂³×C₁₃	1	2	yes	—
847	#103	C₂³×C₁₃	1	2	yes	—
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	2	yes	—
850	#103	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	2	yes	—
853	#102	C₂³×C₁₃	1	2	yes	—
854	#102	C₂³×C₁₃	1	2	yes	—
855	#102	C₂³×C₁₃	1	2	yes	—
856	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
857	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
858	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
859	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
860	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
862	#97	C₂³×C₁₃	1	2	yes	—
863	C₄×C₈	C₂³×C₁₃	1	2	yes	—
864	C₂×C₁₃	—	2	2	no	—
865	C₂×C₁₃	—	4	2	no	—
866	C₂×C₁₃	—	4	1	no	—
867	C₂×C₁₃	—	4	1	no	—
868	C₂×C₁₃	—	4	2	no	—
869	C₂×C₁₃	—	8	1	no	—
870	C₂×C₁₃	#3484	1	1	yes	characteristic
871	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
872	C₂×C₁₃	#3586	1	1	yes	characteristic
873	C₂⁴	—	2	1	no	—
874	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
875	#41	—	2	2	no	—
876	#41	—	2	2	no	—
877	#41	—	2	2	no	—
878	#41	—	2	2	no	—
879	#41	—	2	4	no	—
880	#41	—	4	1	no	—
881	#41	—	4	1	no	—
882	#41	—	4	1	no	—
883	#41	—	4	1	no	—
884	#41	—	4	1	no	—
885	#41	—	4	1	no	—
886	#41	—	4	2	no	—
887	#41	—	4	4	no	—
888	#41	—	4	4	no	—
889	#41	—	4	4	no	—
890	#41	—	4	8	no	—
891	C₂×Q₈	—	2	1	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	1	no	—
895	C₂×Q₈	—	2	1	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	2	2	no	—
898	C₂×Q₈	—	2	4	no	—
899	C₂×Q₈	—	4	1	no	—
900	C₂×Q₈	—	4	2	no	—
901	C₂×Q₈	—	4	1	no	—
902	C₂×Q₈	—	4	1	no	—
903	C₂×Q₈	—	4	4	no	—
904	C₂×Q₈	—	4	1	no	—
905	C₂×Q₈	—	4	1	no	—
906	C₂×Q₈	—	4	2	no	—
907	C₂×Q₈	—	4	1	no	—
908	C₂×Q₈	—	4	1	no	—
909	C₂×Q₈	—	4	2	no	—
910	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
911	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
912	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
913	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
914	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
915	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	—	4	1	no	—
925	C₂×D₄	—	4	4	no	—
926	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
927	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
928	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
929	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
930	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
931	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	4	1	no	—
948	C₂²×C₄	—	4	1	no	—
949	C₂²×C₄	—	4	4	no	—
950	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
951	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
952	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
957	Q₁₆	—	2	4	no	—
958	Q₁₆	—	2	4	no	—
959	Q₁₆	—	4	2	no	—
960	Q₁₆	—	4	2	no	—
961	Q₁₆	—	4	2	no	—
962	Q₁₆	—	4	2	no	—
963	Q₁₆	—	4	2	no	—
964	Q₁₆	—	4	2	no	—
965	SD₁₆	—	2	4	no	—
966	SD₁₆	—	2	4	no	—
967	SD₁₆	—	4	2	no	—
968	SD₁₆	—	4	2	no	—
969	M₁₆	—	4	2	no	—
970	M₁₆	—	4	1	no	—
971	M₁₆	—	4	1	no	—
972	C₂×C₈	—	4	1	no	—
973	C₂×C₈	—	4	1	no	—
974	C₂×C₈	—	4	2	no	—
975	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
976	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
977	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
978	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	2	2	no	—
996	C₄⋊C₄	—	2	2	no	—
997	C₄⋊C₄	—	2	2	no	—
998	C₄⋊C₄	—	2	2	no	—
999	C₄⋊C₄	—	2	2	no	—
1000	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1001	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1002	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1003	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1004	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1005	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1006	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1023	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1024	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1025	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	2	no	—
1028	C₄²	—	2	2	no	—
1029	C₄²	—	2	2	no	—
1030	C₄²	C₂⁴×C₁₃	1	2	yes	—
1031	C₁₃	#61622	1	1	yes	characteristic, direct product factor, Sylow
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	2	no	—
1034	C₂³	—	2	1	no	—
1035	C₂³	—	4	1	no	—
1036	C₂³	—	4	1	no	—
1037	C₂³	—	4	2	no	—
1038	C₂³	—	4	2	no	—
1039	C₂³	—	8	1	no	—
1040	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1041	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1042	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1043	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1044	Q₈	—	2	1	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	2	no	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	2	2	no	—
1049	Q₈	—	2	2	no	—
1050	Q₈	—	2	1	no	—
1051	Q₈	—	2	2	no	—
1052	Q₈	—	2	1	no	—
1053	Q₈	—	4	1	no	—
1054	Q₈	—	4	4	no	—
1055	Q₈	—	4	2	no	—
1056	Q₈	—	4	2	no	—
1057	Q₈	—	8	1	no	—
1058	Q₈	—	8	1	no	—
1059	Q₈	—	8	2	no	—
1060	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1061	D₄	—	2	4	no	—
1062	D₄	—	2	4	no	—
1063	D₄	—	2	1	no	—
1064	D₄	—	2	1	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	1	no	—
1068	D₄	—	4	2	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	4	no	—
1073	D₄	—	4	2	no	—
1074	D₄	—	8	2	no	—
1075	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1076	C₂×C₄	—	2	4	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	4	1	no	—
1094	C₂×C₄	—	4	1	no	—
1095	C₂×C₄	—	4	1	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	4	no	—
1100	C₂×C₄	—	4	4	no	—
1101	C₂×C₄	—	4	2	no	—
1102	C₂×C₄	—	4	2	no	—
1103	C₂×C₄	—	4	2	no	—
1104	C₂×C₄	—	4	2	no	—
1105	C₂×C₄	—	8	2	no	—
1106	C₂×C₄	—	8	1	no	—
1107	C₂×C₄	—	8	1	no	—
1108	C₂×C₄	—	8	2	no	—
1109	C₂×C₄	—	8	1	no	—
1110	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1112	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1113	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1114	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1115	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1116	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1117	C₈	—	2	2	no	—
1118	C₈	—	2	2	no	—
1119	C₈	—	2	2	no	—
1120	C₈	—	2	2	no	—
1121	C₂²	—	2	1	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	2	no	—
1124	C₂²	—	2	1	no	—
1125	C₂²	—	2	1	no	—
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	2	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	8	2	no	—
1139	C₂²	—	8	4	no	—
1140	C₂²	C₁₃×#578	1	2	yes	—
1141	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1142	C₄	—	2	2	no	—
1143	C₄	—	2	2	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	1	no	—
1147	C₄	—	2	1	no	—
1148	C₄	—	2	2	no	—
1149	C₄	—	4	2	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	2	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	2	no	—
1154	C₄	—	4	2	no	—
1155	C₄	—	4	2	no	—
1156	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1157	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1158	C₂	—	2	2	no	—
1159	C₂	—	4	1	no	—
1160	C₂	—	4	1	no	—
1161	C₂	—	4	2	no	—
1162	C₂	—	4	2	no	—
1163	C₂	—	8	1	no	—
1164	C₂	C₁₃×#3484	1	1	yes	characteristic
1165	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1166	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3489	C₂
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×#3538	C₂	semidirect
3. C₁₃×#3327	C₂	semidirect
4. C₁₃×#3315	C₂	semidirect
5. C₁₃×#3312	C₂	semidirect
6. C₁₃×#3296	C₂	semidirect
7. D₄×C₁₃×Q₁₆	C₂	semidirect
8. C₁₃×#3276	C₂	semidirect
9. C₁₃×#3270	C₂	semidirect
10. C₁₃×#3266	C₂	semidirect
11. C₁₃×#3223	C₂	semidirect
12. C₁₃×#3201	C₂	semidirect
13. C₁₃×#3195	C₂	semidirect
14. C₁₃×#3189	C₂	semidirect
15. C₁₃×#3120	C₂	semidirect
16. C₁₃×#3011	C₂	semidirect
17. C₁₃×#3007	C₂	semidirect
18. C₂×C₁₃×#452	C₂	semidirect
19. C₁₃×#2976	C₂	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
26. C₂²×C₁₃×Q₁₆	C₂²	semidirect
30. C₁₃×#552	C₂²	semidirect
34. D₄×Q₈×C₁₃	C₂²	semidirect
42. C₁₃×#541	C₂²	semidirect
49. C₁₃×#536	C₂²	semidirect
57. C₁₃×#497	C₂²	semidirect
58. C₁₃×#494	C₂²	semidirect
59. C₁₃×#491	C₂²	semidirect
60. C₁₃×#488	C₂²	semidirect
61. C₁₃×#485	C₂²	semidirect
62. C₁₃×#484	C₂²	semidirect
63. C₁₃×#484	C₂²	semidirect
65. C₁₃×#483	C₂²	semidirect
66. C₁₃×#482	C₂²	semidirect
67. C₁₃×#479	C₂²	semidirect
68. C₁₃×#478	C₂²	semidirect
69. C₁₃×#470	C₂²	semidirect
70. C₁₃×#470	C₂²	semidirect
71. C₁₃×#470	C₂²	semidirect
72. C₁₃×#468	C₂²	semidirect
75. C₁₃×#467	C₂²	semidirect
76. C₁₃×#465	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#462	C₂²	semidirect
80. C₁₃×#462	C₂²	semidirect
81. C₁₃×#462	C₂²	semidirect
82. C₁₃×#461	C₂²	semidirect
89. C₁₃×#452	C₂²	semidirect
90. C₁₃×#452	C₂²	semidirect
93. C₁₃×#451	C₂²	semidirect
94. C₁₃×#451	C₂²	semidirect
95. C₁₃×#451	C₂²	semidirect
96. C₁₃×#451	C₂²	semidirect
97. C₁₃×#451	C₂²	semidirect
98. C₁₃×#451	C₂²	semidirect
100. C₁₃×#448	C₂²	semidirect
101. C₁₃×#441	C₂²	semidirect
102. C₁₃×#440	C₂²	semidirect
103. C₄×C₁₃×Q₁₆	C₂²	semidirect
104. C₄×C₁₃×SD₁₆	C₂²	semidirect
105. C₁₃×#436	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
110. C₁₃×#419	C₂²	semidirect
113. C₁₃×#416	C₂²	semidirect
116. C₁₃×#408	C₂²	semidirect
290. #61622	C₁₃	direct (N × H)
449. #3538	C₂×C₁₃	semidirect
451. #3327	C₂×C₁₃	semidirect
452. #3315	C₂×C₁₃	semidirect
453. #3312	C₂×C₁₃	semidirect
454. #3296	C₂×C₁₃	semidirect
455. D₄×Q₁₆	C₂×C₁₃	semidirect
456. #3276	C₂×C₁₃	semidirect
457. #3270	C₂×C₁₃	semidirect
458. #3266	C₂×C₁₃	semidirect
459. #3223	C₂×C₁₃	semidirect
460. #3201	C₂×C₁₃	semidirect
461. #3195	C₂×C₁₃	semidirect
462. #3189	C₂×C₁₃	semidirect
463. #3120	C₂×C₁₃	semidirect
464. #3011	C₂×C₁₃	semidirect
465. #3007	C₂×C₁₃	semidirect
466. C₂×#452	C₂×C₁₃	semidirect
467. #2976	C₂×C₁₃	semidirect
561. C₂×#137	C₂²×C₁₃	semidirect
563. C₂²×Q₁₆	C₂²×C₁₃	semidirect
567. #552	C₂²×C₁₃	semidirect
571. D₄×Q₈	C₂²×C₁₃	semidirect
579. #541	C₂²×C₁₃	semidirect
586. #536	C₂²×C₁₃	semidirect
594. #497	C₂²×C₁₃	semidirect
595. #494	C₂²×C₁₃	semidirect
596. #491	C₂²×C₁₃	semidirect
597. #488	C₂²×C₁₃	semidirect
598. #485	C₂²×C₁₃	semidirect
599. #484	C₂²×C₁₃	semidirect
600. #484	C₂²×C₁₃	semidirect
602. #483	C₂²×C₁₃	semidirect
603. #482	C₂²×C₁₃	semidirect
604. #479	C₂²×C₁₃	semidirect
605. #478	C₂²×C₁₃	semidirect
606. #470	C₂²×C₁₃	semidirect
607. #470	C₂²×C₁₃	semidirect
608. #470	C₂²×C₁₃	semidirect
609. #468	C₂²×C₁₃	semidirect
612. #467	C₂²×C₁₃	semidirect
613. #465	C₂²×C₁₃	semidirect
614. #464	C₂²×C₁₃	semidirect
615. #464	C₂²×C₁₃	semidirect
616. #462	C₂²×C₁₃	semidirect
617. #462	C₂²×C₁₃	semidirect
618. #462	C₂²×C₁₃	semidirect
619. #461	C₂²×C₁₃	semidirect
626. #452	C₂²×C₁₃	semidirect
627. #452	C₂²×C₁₃	semidirect
630. #451	C₂²×C₁₃	semidirect
631. #451	C₂²×C₁₃	semidirect
632. #451	C₂²×C₁₃	semidirect
633. #451	C₂²×C₁₃	semidirect
634. #451	C₂²×C₁₃	semidirect
635. #451	C₂²×C₁₃	semidirect
637. #448	C₂²×C₁₃	semidirect
638. #441	C₂²×C₁₃	semidirect
639. #440	C₂²×C₁₃	semidirect
640. C₄×Q₁₆	C₂²×C₁₃	semidirect
641. C₄×SD₁₆	C₂²×C₁₃	semidirect
642. #436	C₂²×C₁₃	semidirect
644. #435	C₂²×C₁₃	semidirect
646. #433	C₂²×C₁₃	semidirect
647. #419	C₂²×C₁₃	semidirect
650. #416	C₂²×C₁₃	semidirect
653. #408	C₂²×C₁₃	semidirect
1031. C₁₃	#61622	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×#3538	2
C₁₃×#3489	2
C₁₃×#3327	2
C₁₃×#3315	2
C₁₃×#3312	2
C₁₃×#3296	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3276	2
C₁₃×#3270	2
C₁₃×#3266	2
C₁₃×#3223	2
C₁₃×#3201	2
C₁₃×#3195	2
C₁₃×#3189	2
C₁₃×#3120	2
C₁₃×#3011	2
C₁₃×#3007	2
C₂×C₁₃×#452	2
C₁₃×#2976	2
#61622	13

Subgroups — C13×#61622 #15747961

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61622 #15747961