Subgroups — C₁₃×#61620 #15747959

Order 3328.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1196 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×#3489	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3331	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3298	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3275	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3204	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3195	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3187	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3125	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3006	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, complemented
21	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
23	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#562	—	2	2	no	—
29	C₁₃×#554	C₂²	1	2	yes	complemented
30	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
31	C₁₃×#548	C₂²	1	2	yes	—
32	C₁₃×#548	C₂²	1	2	yes	—
33	C₁₃×#547	—	2	2	no	—
34	C₁₃×#547	C₂²	1	2	yes	—
35	C₁₃×#547	C₂²	1	2	yes	—
36	C₁₃×#546	—	2	2	no	—
37	C₁₃×#546	—	2	2	no	—
38	C₁₃×#546	C₂²	1	2	yes	complemented
39	C₁₃×#546	C₂²	1	2	yes	complemented
40	C₁₃×#543	—	2	1	no	—
41	C₁₃×#542	C₂²	1	2	yes	complemented
42	C₁₃×#539	—	2	1	no	—
43	C₁₃×#538	—	2	1	no	—
44	C₁₃×#537	—	2	1	no	—
45	C₁₃×#537	—	2	1	no	—
46	C₁₃×#537	C₂²	1	2	yes	complemented
47	C₁₃×#537	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#536	—	2	1	no	—
49	C₁₃×#536	C₂²	1	1	yes	characteristic, 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×#121	C₂²	1	1	yes	characteristic
56	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#497	C₂²	1	2	yes	complemented
58	C₁₃×#495	C₂²	1	2	yes	complemented
59	C₁₃×#489	C₂²	1	2	yes	complemented
60	C₁₃×#487	C₂²	1	2	yes	complemented
61	C₁₃×#483	C₂²	1	2	yes	complemented
62	C₁₃×#483	C₂²	1	2	yes	complemented
63	C₁₃×#483	C₂²	1	2	yes	complemented
64	C₁₃×#483	C₂²	1	2	yes	complemented
65	C₁₃×#481	C₂²	1	2	yes	complemented
66	C₁₃×#481	C₂²	1	2	yes	complemented
67	C₁₃×#476	C₂²	1	2	yes	complemented
68	C₁₃×#475	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×#469	C₂²	1	2	yes	complemented
73	C₁₃×#465	C₂²	1	2	yes	—
74	C₁₃×#465	C₂²	1	2	yes	—
75	C₁₃×#465	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×#463	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	—
84	C₁₃×#452	C₂²	1	2	yes	—
85	C₁₃×#452	C₂²	1	2	yes	complemented
86	C₁₃×#452	C₂²	1	2	yes	complemented
87	C₁₃×#452	C₂²	1	2	yes	complemented
88	C₁₃×#452	C₂²	1	2	yes	complemented
89	C₁₃×#451	C₂²	1	2	yes	complemented
90	C₁₃×#451	C₂²	1	2	yes	complemented
91	C₁₃×#451	C₂²	1	2	yes	complemented
92	C₁₃×#450	C₂²	1	2	yes	complemented
93	C₁₃×#449	C₂²	1	2	yes	—
94	C₁₃×#449	C₂²	1	2	yes	—
95	C₁₃×#449	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	complemented
97	C₁₃×#448	C₂²	1	2	yes	—
98	C₁₃×#448	C₂²	1	2	yes	complemented
99	C₁₃×#448	C₂²	1	2	yes	complemented
100	C₁₃×#447	C₂²	1	2	yes	—
101	C₁₃×#442	C₂²	1	2	yes	complemented
102	C₁₃×#441	C₂²	1	2	yes	complemented
103	C₄×C₁₃×SD₁₆	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	complemented
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#417	C₂²	1	1	yes	characteristic
111	C₁₃×#417	C₂²	1	1	yes	characteristic
112	C₁₃×#417	C₂²	1	2	yes	complemented
113	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
114	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
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	2	no	—
124	C₂×C₁₃×#41	—	2	1	no	—
125	C₂×C₁₃×#41	—	2	1	no	—
126	C₂×C₁₃×#41	—	4	2	no	—
127	C₂×C₁₃×#41	—	4	2	no	—
128	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
129	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
130	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
131	C₂×C₁₃×#41	C₂³	1	2	yes	—
132	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
133	C₂×C₁₃×#41	C₂³	1	2	yes	—
134	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
135	C₂²×Q₈×C₁₃	—	2	1	no	—
136	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
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	—	2	1	no	—
142	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃	—	2	1	no	—
145	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₁₃×#137	—	4	4	no	—
147	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
148	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
149	C₁₃×#135	—	4	4	no	—
150	C₂×C₁₃×Q₁₆	—	4	2	no	—
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×SD₁₆	—	4	2	no	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
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×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×D₈	C₂³	1	2	yes	—
164	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
166	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
167	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
168	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
169	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
170	C₁₃×C₄⋊Q₈	—	2	2	no	—
171	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
172	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#124	—	2	2	no	—
177	C₁₃×#124	—	2	2	no	—
178	C₁₃×#124	C₂³	1	2	yes	—
179	C₁₃×#124	C₂³	1	2	yes	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	D₄	1	2	yes	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	1	no	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
206	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	D₄	1	1	yes	characteristic
226	C₁₃×#121	D₄	1	1	yes	characteristic
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	2	yes	—
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	2	yes	—
231	C₁₃×#120	—	2	2	no	—
232	C₁₃×#120	—	2	2	no	—
233	C₁₃×#120	D₄	1	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
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	—	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	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₁₃×#117	—	2	1	no	—
246	C₁₃×#117	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
249	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
250	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
256	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
260	C₁₃×#106	C₂³	1	2	yes	—
261	C₁₃×#106	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×#102	C₂³	1	2	yes	—
277	C₁₃×#102	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	#61620	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
291	C₂⁴×C₁₃	—	2	1	no	—
292	C₂⁴×C₁₃	—	2	1	no	—
293	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
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	—	2	2	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	1	no	—
305	C₁₃×#41	—	4	2	no	—
306	C₁₃×#41	—	4	4	no	—
307	C₁₃×#41	—	4	4	no	—
308	C₁₃×#41	—	4	2	no	—
309	C₁₃×#41	—	4	2	no	—
310	C₁₃×#41	—	4	4	no	—
311	C₁₃×#41	—	4	8	no	—
312	C₁₃×#41	—	8	4	no	—
313	C₂×Q₈×C₁₃	—	2	1	no	—
314	C₂×Q₈×C₁₃	—	2	2	no	—
315	C₂×Q₈×C₁₃	—	2	1	no	—
316	C₂×Q₈×C₁₃	—	2	1	no	—
317	C₂×Q₈×C₁₃	—	2	2	no	—
318	C₂×Q₈×C₁₃	—	2	2	no	—
319	C₂×Q₈×C₁₃	—	2	4	no	—
320	C₂×Q₈×C₁₃	—	4	1	no	—
321	C₂×Q₈×C₁₃	—	4	2	no	—
322	C₂×Q₈×C₁₃	—	4	1	no	—
323	C₂×Q₈×C₁₃	—	4	1	no	—
324	C₂×Q₈×C₁₃	—	4	4	no	—
325	C₂×Q₈×C₁₃	—	4	1	no	—
326	C₂×Q₈×C₁₃	—	4	1	no	—
327	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	4	1	no	—
346	C₂×D₄×C₁₃	—	4	1	no	—
347	C₂×D₄×C₁₃	—	4	1	no	—
348	C₂×D₄×C₁₃	—	4	4	no	—
349	C₂×D₄×C₁₃	—	8	2	no	—
350	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
351	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
352	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
353	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
354	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
356	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	1	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	1	no	—
365	C₂²×C₄×C₁₃	—	2	2	no	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	1	no	—
368	C₂²×C₄×C₁₃	—	2	1	no	—
369	C₂²×C₄×C₁₃	—	2	1	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	2	no	—
372	C₂²×C₄×C₁₃	—	2	2	no	—
373	C₂²×C₄×C₁₃	—	4	1	no	—
374	C₂²×C₄×C₁₃	—	4	1	no	—
375	C₂²×C₄×C₁₃	—	4	4	no	—
376	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₁₃×Q₁₆	—	2	4	no	—
384	C₁₃×Q₁₆	—	4	2	no	—
385	C₁₃×Q₁₆	—	4	2	no	—
386	C₁₃×Q₁₆	—	4	2	no	—
387	C₁₃×SD₁₆	—	2	4	no	—
388	C₁₃×SD₁₆	—	2	4	no	—
389	C₁₃×SD₁₆	—	4	2	no	—
390	C₁₃×SD₁₆	—	4	2	no	—
391	C₁₃×SD₁₆	—	4	2	no	—
392	C₁₃×SD₁₆	—	4	2	no	—
393	C₁₃×D₈	—	2	4	no	—
394	C₁₃×D₈	—	4	2	no	—
395	C₁₃×M₁₆	—	4	1	no	—
396	C₁₃×M₁₆	—	4	1	no	—
397	C₁₃×M₁₆	—	4	2	no	—
398	C₂×C₈×C₁₃	—	4	1	no	—
399	C₂×C₈×C₁₃	—	4	1	no	—
400	C₂×C₈×C₁₃	—	4	2	no	—
401	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
402	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
403	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
404	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	—	2	2	no	—
418	C₁₃×C₄⋊C₄	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
423	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
425	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
446	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
447	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₄²×C₁₃	—	2	2	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	C₂⁴	1	2	yes	—
451	#3536	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3489	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3331	C₂×C₁₃	1	2	yes	complemented
454	#3316	C₂×C₁₃	1	2	yes	complemented
455	#3306	C₂×C₁₃	1	2	yes	complemented
456	#3298	C₂×C₁₃	1	2	yes	complemented
457	#3282	C₂×C₁₃	1	2	yes	complemented
458	#3275	C₂×C₁₃	1	2	yes	complemented
459	#3270	C₂×C₁₃	1	2	yes	complemented
460	#3267	C₂×C₁₃	1	2	yes	complemented
461	#3225	C₂×C₁₃	1	2	yes	complemented
462	#3204	C₂×C₁₃	1	2	yes	complemented
463	#3195	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3187	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3125	C₂×C₁₃	1	2	yes	complemented
466	#3013	C₂×C₁₃	1	2	yes	complemented
467	#3006	C₂×C₁₃	1	1	yes	characteristic, complemented
468	C₂×#452	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#2976	C₂×C₁₃	1	1	yes	characteristic, complemented
470	C₂³×C₁₃	—	2	1	no	—
471	C₂³×C₁₃	—	2	2	no	—
472	C₂³×C₁₃	—	2	1	no	—
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	4	1	no	—
475	C₂³×C₁₃	—	4	1	no	—
476	C₂³×C₁₃	—	4	2	no	—
477	C₂³×C₁₃	—	4	2	no	—
478	C₂³×C₁₃	—	4	2	no	—
479	C₂³×C₁₃	—	8	1	no	—
480	C₂³×C₁₃	—	8	1	no	—
481	C₂³×C₁₃	—	8	1	no	—
482	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
483	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
484	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
485	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	2	no	—
492	Q₈×C₁₃	—	2	1	no	—
493	Q₈×C₁₃	—	4	1	no	—
494	Q₈×C₁₃	—	4	4	no	—
495	Q₈×C₁₃	—	4	2	no	—
496	Q₈×C₁₃	—	4	2	no	—
497	Q₈×C₁₃	—	8	1	no	—
498	Q₈×C₁₃	—	8	2	no	—
499	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
500	D₄×C₁₃	—	2	4	no	—
501	D₄×C₁₃	—	2	4	no	—
502	D₄×C₁₃	—	2	1	no	—
503	D₄×C₁₃	—	2	2	no	—
504	D₄×C₁₃	—	2	1	no	—
505	D₄×C₁₃	—	2	2	no	—
506	D₄×C₁₃	—	2	1	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	4	1	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	4	2	no	—
511	D₄×C₁₃	—	4	2	no	—
512	D₄×C₁₃	—	4	2	no	—
513	D₄×C₁₃	—	4	4	no	—
514	D₄×C₁₃	—	4	2	no	—
515	D₄×C₁₃	—	4	4	no	—
516	D₄×C₁₃	—	8	1	no	—
517	D₄×C₁₃	—	8	2	no	—
518	D₄×C₁₃	—	8	2	no	—
519	D₄×C₁₃	—	8	2	no	—
520	D₄×C₁₃	—	8	2	no	—
521	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
522	C₂×C₄×C₁₃	—	2	4	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	2	no	—
533	C₂×C₄×C₁₃	—	2	2	no	—
534	C₂×C₄×C₁₃	—	2	2	no	—
535	C₂×C₄×C₁₃	—	2	2	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	2	1	no	—
538	C₂×C₄×C₁₃	—	4	1	no	—
539	C₂×C₄×C₁₃	—	4	1	no	—
540	C₂×C₄×C₁₃	—	4	1	no	—
541	C₂×C₄×C₁₃	—	4	2	no	—
542	C₂×C₄×C₁₃	—	4	2	no	—
543	C₂×C₄×C₁₃	—	4	2	no	—
544	C₂×C₄×C₁₃	—	4	4	no	—
545	C₂×C₄×C₁₃	—	4	4	no	—
546	C₂×C₄×C₁₃	—	4	2	no	—
547	C₂×C₄×C₁₃	—	4	2	no	—
548	C₂×C₄×C₁₃	—	4	2	no	—
549	C₂×C₄×C₁₃	—	8	2	no	—
550	C₂×C₄×C₁₃	—	8	2	no	—
551	C₂×C₄×C₁₃	—	8	2	no	—
552	C₂×C₄×C₁₃	—	8	1	no	—
553	C₂×C₄×C₁₃	—	8	1	no	—
554	C₂×C₄×C₁₃	—	8	1	no	—
555	C₂×C₄×C₁₃	—	8	2	no	—
556	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
557	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
558	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
559	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
560	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
561	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
562	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
563	C₈×C₁₃	—	2	2	no	—
564	C₈×C₁₃	—	2	2	no	—
565	C₈×C₁₃	—	2	2	no	—
566	C₈×C₁₃	—	2	2	no	—
567	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
569	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
570	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
571	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
572	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
573	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	#562	—	2	2	no	—
576	#554	C₂²×C₁₃	1	2	yes	complemented
577	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
578	#548	C₂²×C₁₃	1	2	yes	—
579	#548	C₂²×C₁₃	1	2	yes	—
580	#547	—	2	2	no	—
581	#547	C₂²×C₁₃	1	2	yes	—
582	#547	C₂²×C₁₃	1	2	yes	—
583	#546	—	2	2	no	—
584	#546	—	2	2	no	—
585	#546	C₂²×C₁₃	1	2	yes	complemented
586	#546	C₂²×C₁₃	1	2	yes	complemented
587	#543	—	2	1	no	—
588	#542	C₂²×C₁₃	1	2	yes	complemented
589	#539	—	2	1	no	—
590	#538	—	2	1	no	—
591	#537	—	2	1	no	—
592	#537	—	2	1	no	—
593	#537	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#537	C₂²×C₁₃	1	2	yes	complemented
595	#536	—	2	1	no	—
596	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#525	—	2	1	no	—
598	#525	C₂²×C₁₃	1	1	yes	characteristic
599	C₂×C₂²⋊Q₈	—	2	1	no	—
600	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
601	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
602	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
603	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
604	#497	C₂²×C₁₃	1	2	yes	complemented
605	#495	C₂²×C₁₃	1	2	yes	complemented
606	#489	C₂²×C₁₃	1	2	yes	complemented
607	#487	C₂²×C₁₃	1	2	yes	complemented
608	#483	C₂²×C₁₃	1	2	yes	complemented
609	#483	C₂²×C₁₃	1	2	yes	complemented
610	#483	C₂²×C₁₃	1	2	yes	complemented
611	#483	C₂²×C₁₃	1	2	yes	complemented
612	#481	C₂²×C₁₃	1	2	yes	complemented
613	#481	C₂²×C₁₃	1	2	yes	complemented
614	#476	C₂²×C₁₃	1	2	yes	complemented
615	#475	C₂²×C₁₃	1	2	yes	complemented
616	#470	C₂²×C₁₃	1	2	yes	complemented
617	#470	C₂²×C₁₃	1	2	yes	complemented
618	#470	C₂²×C₁₃	1	2	yes	complemented
619	#469	C₂²×C₁₃	1	2	yes	complemented
620	#465	C₂²×C₁₃	1	2	yes	—
621	#465	C₂²×C₁₃	1	2	yes	—
622	#465	C₂²×C₁₃	1	2	yes	complemented
623	#465	C₂²×C₁₃	1	2	yes	complemented
624	#464	C₂²×C₁₃	1	2	yes	complemented
625	#464	C₂²×C₁₃	1	2	yes	complemented
626	#463	C₂²×C₁₃	1	2	yes	complemented
627	#463	C₂²×C₁₃	1	2	yes	complemented
628	#462	C₂²×C₁₃	1	2	yes	complemented
629	#461	C₂²×C₁₃	1	2	yes	complemented
630	#452	C₂²×C₁₃	1	2	yes	—
631	#452	C₂²×C₁₃	1	2	yes	—
632	#452	C₂²×C₁₃	1	2	yes	complemented
633	#452	C₂²×C₁₃	1	2	yes	complemented
634	#452	C₂²×C₁₃	1	2	yes	complemented
635	#452	C₂²×C₁₃	1	2	yes	complemented
636	#451	C₂²×C₁₃	1	2	yes	complemented
637	#451	C₂²×C₁₃	1	2	yes	complemented
638	#451	C₂²×C₁₃	1	2	yes	complemented
639	#450	C₂²×C₁₃	1	2	yes	complemented
640	#449	C₂²×C₁₃	1	2	yes	—
641	#449	C₂²×C₁₃	1	2	yes	—
642	#449	C₂²×C₁₃	1	2	yes	complemented
643	#449	C₂²×C₁₃	1	2	yes	complemented
644	#448	C₂²×C₁₃	1	2	yes	—
645	#448	C₂²×C₁₃	1	2	yes	complemented
646	#448	C₂²×C₁₃	1	2	yes	complemented
647	#447	C₂²×C₁₃	1	2	yes	—
648	#442	C₂²×C₁₃	1	2	yes	complemented
649	#441	C₂²×C₁₃	1	2	yes	complemented
650	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
651	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
652	#436	C₂²×C₁₃	1	2	yes	complemented
653	#435	C₂²×C₁₃	1	2	yes	complemented
654	#435	C₂²×C₁₃	1	2	yes	complemented
655	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
656	#433	C₂²×C₁₃	1	2	yes	complemented
657	#417	C₂²×C₁₃	1	1	yes	characteristic
658	#417	C₂²×C₁₃	1	1	yes	characteristic
659	#417	C₂²×C₁₃	1	2	yes	complemented
660	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
662	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	#408	C₂²×C₁₃	1	2	yes	complemented
664	#407	C₂²×C₁₃	1	1	yes	characteristic
665	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	1	no	—
668	C₂²×C₁₃	—	2	1	no	—
669	C₂²×C₁₃	—	2	1	no	—
670	C₂²×C₁₃	—	2	2	no	—
671	C₂²×C₁₃	—	2	1	no	—
672	C₂²×C₁₃	—	2	2	no	—
673	C₂²×C₁₃	—	2	2	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	2	1	no	—
677	C₂²×C₁₃	—	2	1	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	1	no	—
681	C₂²×C₁₃	—	4	2	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	—	4	2	no	—
684	C₂²×C₁₃	—	4	2	no	—
685	C₂²×C₁₃	—	4	1	no	—
686	C₂²×C₁₃	—	8	2	no	—
687	C₂²×C₁₃	—	8	4	no	—
688	C₂²×C₁₃	—	16	2	no	—
689	C₂²×C₁₃	#577	1	2	yes	—
690	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
691	C₄×C₁₃	—	2	2	no	—
692	C₄×C₁₃	—	2	1	no	—
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	2	1	no	—
695	C₄×C₁₃	—	2	2	no	—
696	C₄×C₁₃	—	2	1	no	—
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	4	2	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	—	4	2	no	—
701	C₄×C₁₃	—	4	2	no	—
702	C₄×C₁₃	—	4	2	no	—
703	C₄×C₁₃	—	4	2	no	—
704	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
705	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
706	2₋¹⁺⁴	—	4	2	no	—
707	2₋¹⁺⁴	—	4	2	no	—
708	C₂×#41	—	2	1	no	—
709	C₂×#41	—	2	2	no	—
710	C₂×#41	—	2	2	no	—
711	C₂×#41	—	2	1	no	—
712	C₂×#41	—	2	1	no	—
713	C₂×#41	—	4	2	no	—
714	C₂×#41	—	4	2	no	—
715	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×#41	C₂³×C₁₃	1	2	yes	—
717	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×#41	C₂³×C₁₃	1	2	yes	—
721	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
722	C₂²×Q₈	—	2	1	no	—
723	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
724	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
725	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
726	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
727	C₂²×D₄	—	2	1	no	—
728	C₂²×D₄	—	2	1	no	—
729	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
730	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
731	C₂³×C₄	—	2	1	no	—
732	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
733	#137	—	4	4	no	—
734	AGL(1,ℤ/8)	—	4	2	no	—
735	AGL(1,ℤ/8)	—	4	2	no	—
736	#135	—	4	4	no	—
737	C₂×Q₁₆	—	4	2	no	—
738	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
739	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
740	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
741	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
742	C₂×SD₁₆	—	4	2	no	—
743	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
744	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
745	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
746	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
748	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
749	C₂×D₈	C₂³×C₁₃	1	2	yes	—
750	C₂×D₈	C₂³×C₁₃	1	2	yes	—
751	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
753	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
754	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
755	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
756	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
757	C₄⋊Q₈	—	2	2	no	—
758	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
759	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
760	#126	—	2	2	no	—
761	#125	—	2	2	no	—
762	#124	—	2	2	no	—
763	#124	—	2	2	no	—
764	#124	—	2	2	no	—
765	#124	C₂³×C₁₃	1	2	yes	—
766	#124	C₂³×C₁₃	1	2	yes	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	D₄×C₁₃	1	2	yes	—
776	C₂²⋊Q₈	—	2	1	no	—
777	C₂²⋊Q₈	—	2	2	no	—
778	C₂²⋊Q₈	—	2	1	no	—
779	C₂²⋊Q₈	—	2	1	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	—	2	1	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	1	no	—
785	C₂²⋊Q₈	—	2	2	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	—	2	2	no	—
788	C₂²⋊Q₈	—	2	2	no	—
789	C₂²⋊Q₈	—	2	2	no	—
790	C₂²⋊Q₈	—	2	2	no	—
791	C₂²⋊Q₈	—	2	2	no	—
792	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
793	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
794	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
795	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
796	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
797	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
798	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
799	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
800	#121	—	2	1	no	—
801	#121	—	2	2	no	—
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	—	2	2	no	—
806	#121	—	2	2	no	—
807	#121	—	2	2	no	—
808	#121	—	2	1	no	—
809	#121	—	2	1	no	—
810	#121	—	2	2	no	—
811	#121	—	2	2	no	—
812	#121	D₄×C₁₃	1	1	yes	characteristic
813	#121	D₄×C₁₃	1	1	yes	characteristic
814	#121	C₂³×C₁₃	1	2	yes	—
815	#121	C₂³×C₁₃	1	2	yes	—
816	#121	C₂³×C₁₃	1	2	yes	—
817	#121	C₂³×C₁₃	1	2	yes	—
818	#120	—	2	2	no	—
819	#120	—	2	2	no	—
820	#120	D₄×C₁₃	1	2	yes	—
821	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
822	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
823	C₄×D₄	—	2	2	no	—
824	C₄×D₄	—	2	2	no	—
825	C₄×D₄	—	2	2	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	2	no	—
828	C₄×D₄	C₂³×C₁₃	1	2	yes	—
829	C₄×D₄	C₂³×C₁₃	1	2	yes	—
830	C₄×D₄	C₂³×C₁₃	1	2	yes	—
831	C₄×D₄	C₂³×C₁₃	1	2	yes	—
832	#117	—	2	1	no	—
833	#117	C₂³×C₁₃	1	1	yes	characteristic
834	C₂×C₄⋊C₄	—	2	1	no	—
835	C₂×C₄⋊C₄	—	2	1	no	—
836	C₂×C₄⋊C₄	—	2	1	no	—
837	C₂×C₄⋊C₄	—	2	2	no	—
838	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
842	C₂×C₂²⋊C₄	—	2	1	no	—
843	C₂×C₂²⋊C₄	—	2	1	no	—
844	C₂×C₂²⋊C₄	—	2	1	no	—
845	C₂×C₂²⋊C₄	—	2	2	no	—
846	C₂×C₂²⋊C₄	—	2	2	no	—
847	#106	C₂³×C₁₃	1	2	yes	—
848	#106	C₂³×C₁₃	1	2	yes	—
849	#106	C₂³×C₁₃	1	2	yes	—
850	#106	C₂³×C₁₃	1	2	yes	—
851	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
852	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
853	#103	C₂³×C₁₃	1	2	yes	—
854	#103	C₂³×C₁₃	1	2	yes	—
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	2	yes	—
858	#103	C₂³×C₁₃	1	2	yes	—
859	#103	C₂³×C₁₃	1	2	yes	—
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	2	yes	—
862	#103	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	2	yes	—
868	#102	C₂³×C₁₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
873	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
874	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
875	#97	C₂³×C₁₃	1	2	yes	—
876	C₄×C₈	C₂³×C₁₃	1	2	yes	—
877	C₂×C₁₃	—	2	2	no	—
878	C₂×C₁₃	—	4	2	no	—
879	C₂×C₁₃	—	4	1	no	—
880	C₂×C₁₃	—	4	1	no	—
881	C₂×C₁₃	—	4	2	no	—
882	C₂×C₁₃	—	8	1	no	—
883	C₂×C₁₃	—	8	2	no	—
884	C₂×C₁₃	#3484	1	1	yes	characteristic
885	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
886	C₂×C₁₃	#3586	1	1	yes	characteristic
887	C₂⁴	—	2	1	no	—
888	C₂⁴	—	2	1	no	—
889	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
890	#41	—	2	2	no	—
891	#41	—	2	2	no	—
892	#41	—	2	2	no	—
893	#41	—	2	4	no	—
894	#41	—	2	2	no	—
895	#41	—	4	1	no	—
896	#41	—	4	1	no	—
897	#41	—	4	1	no	—
898	#41	—	4	1	no	—
899	#41	—	4	1	no	—
900	#41	—	4	1	no	—
901	#41	—	4	2	no	—
902	#41	—	4	4	no	—
903	#41	—	4	4	no	—
904	#41	—	4	2	no	—
905	#41	—	4	2	no	—
906	#41	—	4	4	no	—
907	#41	—	4	8	no	—
908	#41	—	8	4	no	—
909	C₂×Q₈	—	2	1	no	—
910	C₂×Q₈	—	2	2	no	—
911	C₂×Q₈	—	2	1	no	—
912	C₂×Q₈	—	2	1	no	—
913	C₂×Q₈	—	2	2	no	—
914	C₂×Q₈	—	2	2	no	—
915	C₂×Q₈	—	2	4	no	—
916	C₂×Q₈	—	4	1	no	—
917	C₂×Q₈	—	4	2	no	—
918	C₂×Q₈	—	4	1	no	—
919	C₂×Q₈	—	4	1	no	—
920	C₂×Q₈	—	4	4	no	—
921	C₂×Q₈	—	4	1	no	—
922	C₂×Q₈	—	4	1	no	—
923	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
924	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
925	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
927	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	1	no	—
933	C₂×D₄	—	2	1	no	—
934	C₂×D₄	—	2	1	no	—
935	C₂×D₄	—	2	2	no	—
936	C₂×D₄	—	2	2	no	—
937	C₂×D₄	—	2	2	no	—
938	C₂×D₄	—	2	2	no	—
939	C₂×D₄	—	2	1	no	—
940	C₂×D₄	—	2	1	no	—
941	C₂×D₄	—	4	1	no	—
942	C₂×D₄	—	4	1	no	—
943	C₂×D₄	—	4	1	no	—
944	C₂×D₄	—	4	4	no	—
945	C₂×D₄	—	8	2	no	—
946	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
947	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
948	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
949	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
950	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
952	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	1	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	1	no	—
958	C₂²×C₄	—	2	1	no	—
959	C₂²×C₄	—	2	1	no	—
960	C₂²×C₄	—	2	1	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	1	no	—
964	C₂²×C₄	—	2	1	no	—
965	C₂²×C₄	—	2	1	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	2	2	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	—	4	1	no	—
970	C₂²×C₄	—	4	1	no	—
971	C₂²×C₄	—	4	4	no	—
972	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
973	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
974	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
975	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
978	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	Q₁₆	—	2	4	no	—
980	Q₁₆	—	4	2	no	—
981	Q₁₆	—	4	2	no	—
982	Q₁₆	—	4	2	no	—
983	SD₁₆	—	2	4	no	—
984	SD₁₆	—	2	4	no	—
985	SD₁₆	—	4	2	no	—
986	SD₁₆	—	4	2	no	—
987	SD₁₆	—	4	2	no	—
988	SD₁₆	—	4	2	no	—
989	D₈	—	2	4	no	—
990	D₈	—	4	2	no	—
991	M₁₆	—	4	1	no	—
992	M₁₆	—	4	1	no	—
993	M₁₆	—	4	2	no	—
994	C₂×C₈	—	4	1	no	—
995	C₂×C₈	—	4	1	no	—
996	C₂×C₈	—	4	2	no	—
997	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
998	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
999	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1000	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1001	C₄⋊C₄	—	2	2	no	—
1002	C₄⋊C₄	—	2	1	no	—
1003	C₄⋊C₄	—	2	2	no	—
1004	C₄⋊C₄	—	2	2	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	2	2	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	1	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	1	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	2	no	—
1014	C₄⋊C₄	—	2	2	no	—
1015	C₄⋊C₄	—	2	2	no	—
1016	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1017	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1018	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1019	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1020	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1021	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1022	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	2	no	—
1030	C₂²⋊C₄	—	2	2	no	—
1031	C₂²⋊C₄	—	2	2	no	—
1032	C₂²⋊C₄	—	2	2	no	—
1033	C₂²⋊C₄	—	2	2	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	2	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1040	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1041	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1042	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1043	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1044	C₄²	—	2	2	no	—
1045	C₄²	—	2	2	no	—
1046	C₄²	C₂⁴×C₁₃	1	2	yes	—
1047	C₁₃	#61620	1	1	yes	characteristic, direct product factor, Sylow
1048	C₂³	—	2	1	no	—
1049	C₂³	—	2	2	no	—
1050	C₂³	—	2	2	no	—
1051	C₂³	—	2	1	no	—
1052	C₂³	—	4	1	no	—
1053	C₂³	—	4	1	no	—
1054	C₂³	—	4	2	no	—
1055	C₂³	—	4	2	no	—
1056	C₂³	—	4	2	no	—
1057	C₂³	—	8	1	no	—
1058	C₂³	—	8	1	no	—
1059	C₂³	—	8	1	no	—
1060	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1061	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1062	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1063	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1064	Q₈	—	2	1	no	—
1065	Q₈	—	2	2	no	—
1066	Q₈	—	2	1	no	—
1067	Q₈	—	2	2	no	—
1068	Q₈	—	2	2	no	—
1069	Q₈	—	2	2	no	—
1070	Q₈	—	2	1	no	—
1071	Q₈	—	4	1	no	—
1072	Q₈	—	4	4	no	—
1073	Q₈	—	4	2	no	—
1074	Q₈	—	4	2	no	—
1075	Q₈	—	8	1	no	—
1076	Q₈	—	8	2	no	—
1077	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1078	D₄	—	2	4	no	—
1079	D₄	—	2	4	no	—
1080	D₄	—	2	1	no	—
1081	D₄	—	2	2	no	—
1082	D₄	—	2	1	no	—
1083	D₄	—	2	2	no	—
1084	D₄	—	2	1	no	—
1085	D₄	—	4	2	no	—
1086	D₄	—	4	1	no	—
1087	D₄	—	4	2	no	—
1088	D₄	—	4	2	no	—
1089	D₄	—	4	2	no	—
1090	D₄	—	4	2	no	—
1091	D₄	—	4	4	no	—
1092	D₄	—	4	2	no	—
1093	D₄	—	4	4	no	—
1094	D₄	—	8	1	no	—
1095	D₄	—	8	2	no	—
1096	D₄	—	8	2	no	—
1097	D₄	—	8	2	no	—
1098	D₄	—	8	2	no	—
1099	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	2	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	2	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	4	1	no	—
1117	C₂×C₄	—	4	1	no	—
1118	C₂×C₄	—	4	1	no	—
1119	C₂×C₄	—	4	2	no	—
1120	C₂×C₄	—	4	2	no	—
1121	C₂×C₄	—	4	2	no	—
1122	C₂×C₄	—	4	4	no	—
1123	C₂×C₄	—	4	4	no	—
1124	C₂×C₄	—	4	2	no	—
1125	C₂×C₄	—	4	2	no	—
1126	C₂×C₄	—	4	2	no	—
1127	C₂×C₄	—	8	2	no	—
1128	C₂×C₄	—	8	2	no	—
1129	C₂×C₄	—	8	2	no	—
1130	C₂×C₄	—	8	1	no	—
1131	C₂×C₄	—	8	1	no	—
1132	C₂×C₄	—	8	1	no	—
1133	C₂×C₄	—	8	2	no	—
1134	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1135	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1136	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1137	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1138	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1139	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1140	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1141	C₈	—	2	2	no	—
1142	C₈	—	2	2	no	—
1143	C₈	—	2	2	no	—
1144	C₈	—	2	2	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	1	no	—
1150	C₂²	—	2	1	no	—
1151	C₂²	—	2	1	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	1	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	1	no	—
1157	C₂²	—	4	1	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	2	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	2	no	—
1165	C₂²	—	8	2	no	—
1166	C₂²	—	8	4	no	—
1167	C₂²	—	16	2	no	—
1168	C₂²	C₁₃×#577	1	2	yes	—
1169	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1170	C₄	—	2	2	no	—
1171	C₄	—	2	2	no	—
1172	C₄	—	2	1	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	2	1	no	—
1175	C₄	—	2	2	no	—
1176	C₄	—	2	1	no	—
1177	C₄	—	4	2	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	2	no	—
1180	C₄	—	4	1	no	—
1181	C₄	—	4	2	no	—
1182	C₄	—	4	2	no	—
1183	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1184	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1185	C₂	—	2	2	no	—
1186	C₂	—	4	1	no	—
1187	C₂	—	4	1	no	—
1188	C₂	—	4	2	no	—
1189	C₂	—	4	2	no	—
1190	C₂	—	8	1	no	—
1191	C₂	—	8	2	no	—
1192	C₂	C₁₃×#3484	1	1	yes	characteristic
1193	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1194	C₂	C₁₃×#3586	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×#3489	C₂	semidirect
3. C₁₃×#3331	C₂	semidirect
4. C₁₃×#3316	C₂	semidirect
5. C₁₃×#3306	C₂	semidirect
6. C₁₃×#3298	C₂	semidirect
7. C₁₃×#3282	C₂	semidirect
8. C₁₃×#3275	C₂	semidirect
9. C₁₃×#3270	C₂	semidirect
10. C₁₃×#3267	C₂	semidirect
11. C₁₃×#3225	C₂	semidirect
12. C₁₃×#3204	C₂	semidirect
13. C₁₃×#3195	C₂	semidirect
14. C₁₃×#3187	C₂	semidirect
15. C₁₃×#3125	C₂	semidirect
16. C₁₃×#3013	C₂	semidirect
17. C₁₃×#3006	C₂	semidirect
18. C₂×C₁₃×#452	C₂	semidirect
19. C₁₃×#2976	C₂	semidirect
20. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
22. C₂×C₁₃×#137	C₂²	semidirect
25. C₂×C₁₃×#135	C₂²	semidirect
26. C₂²×C₁₃×Q₁₆	C₂²	semidirect
27. C₂²×C₁₃×SD₁₆	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
30. D₄×Q₈×C₁₃	C₂²	semidirect
38. C₁₃×#546	C₂²	semidirect
39. C₁₃×#546	C₂²	semidirect
41. C₁₃×#542	C₂²	semidirect
46. C₁₃×#537	C₂²	semidirect
47. C₁₃×#537	C₂²	semidirect
49. C₁₃×#536	C₂²	semidirect
56. C₁₃×#520	C₂²	semidirect
57. C₁₃×#497	C₂²	semidirect
58. C₁₃×#495	C₂²	semidirect
59. C₁₃×#489	C₂²	semidirect
60. C₁₃×#487	C₂²	semidirect
61. C₁₃×#483	C₂²	semidirect
62. C₁₃×#483	C₂²	semidirect
63. C₁₃×#483	C₂²	semidirect
64. C₁₃×#483	C₂²	semidirect
65. C₁₃×#481	C₂²	semidirect
66. C₁₃×#481	C₂²	semidirect
67. C₁₃×#476	C₂²	semidirect
68. C₁₃×#475	C₂²	semidirect
69. C₁₃×#470	C₂²	semidirect
70. C₁₃×#470	C₂²	semidirect
71. C₁₃×#470	C₂²	semidirect
72. C₁₃×#469	C₂²	semidirect
75. C₁₃×#465	C₂²	semidirect
76. C₁₃×#465	C₂²	semidirect
77. C₁₃×#464	C₂²	semidirect
78. C₁₃×#464	C₂²	semidirect
79. C₁₃×#463	C₂²	semidirect
80. C₁₃×#463	C₂²	semidirect
81. C₁₃×#462	C₂²	semidirect
82. C₁₃×#461	C₂²	semidirect
85. C₁₃×#452	C₂²	semidirect
86. C₁₃×#452	C₂²	semidirect
87. C₁₃×#452	C₂²	semidirect
88. C₁₃×#452	C₂²	semidirect
89. C₁₃×#451	C₂²	semidirect
90. C₁₃×#451	C₂²	semidirect
91. C₁₃×#451	C₂²	semidirect
92. C₁₃×#450	C₂²	semidirect
95. C₁₃×#449	C₂²	semidirect
96. C₁₃×#449	C₂²	semidirect
98. C₁₃×#448	C₂²	semidirect
99. C₁₃×#448	C₂²	semidirect
101. C₁₃×#442	C₂²	semidirect
102. C₁₃×#441	C₂²	semidirect
103. C₄×C₁₃×SD₁₆	C₂²	semidirect
104. C₄×C₁₃×SD₁₆	C₂²	semidirect
105. C₁₃×#436	C₂²	semidirect
106. C₁₃×#435	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₈×D₄×C₁₃	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
112. C₁₃×#417	C₂²	semidirect
113. C₂×C₁₃×#103	C₂²	semidirect
114. C₂×C₁₃×#103	C₂²	semidirect
115. C₂×C₁₃×#102	C₂²	semidirect
116. C₁₃×#408	C₂²	semidirect
290. #61620	C₁₃	direct (N × H)
451. #3536	C₂×C₁₃	semidirect
452. #3489	C₂×C₁₃	semidirect
453. #3331	C₂×C₁₃	semidirect
454. #3316	C₂×C₁₃	semidirect
455. #3306	C₂×C₁₃	semidirect
456. #3298	C₂×C₁₃	semidirect
457. #3282	C₂×C₁₃	semidirect
458. #3275	C₂×C₁₃	semidirect
459. #3270	C₂×C₁₃	semidirect
460. #3267	C₂×C₁₃	semidirect
461. #3225	C₂×C₁₃	semidirect
462. #3204	C₂×C₁₃	semidirect
463. #3195	C₂×C₁₃	semidirect
464. #3187	C₂×C₁₃	semidirect
465. #3125	C₂×C₁₃	semidirect
466. #3013	C₂×C₁₃	semidirect
467. #3006	C₂×C₁₃	semidirect
468. C₂×#452	C₂×C₁₃	semidirect
469. #2976	C₂×C₁₃	semidirect
567. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
569. C₂×#137	C₂²×C₁₃	semidirect
572. C₂×#135	C₂²×C₁₃	semidirect
573. C₂²×Q₁₆	C₂²×C₁₃	semidirect
574. C₂²×SD₁₆	C₂²×C₁₃	semidirect
576. #554	C₂²×C₁₃	semidirect
577. D₄×Q₈	C₂²×C₁₃	semidirect
585. #546	C₂²×C₁₃	semidirect
586. #546	C₂²×C₁₃	semidirect
588. #542	C₂²×C₁₃	semidirect
593. #537	C₂²×C₁₃	semidirect
594. #537	C₂²×C₁₃	semidirect
596. #536	C₂²×C₁₃	semidirect
603. #520	C₂²×C₁₃	semidirect
604. #497	C₂²×C₁₃	semidirect
605. #495	C₂²×C₁₃	semidirect
606. #489	C₂²×C₁₃	semidirect
607. #487	C₂²×C₁₃	semidirect
608. #483	C₂²×C₁₃	semidirect
609. #483	C₂²×C₁₃	semidirect
610. #483	C₂²×C₁₃	semidirect
611. #483	C₂²×C₁₃	semidirect
612. #481	C₂²×C₁₃	semidirect
613. #481	C₂²×C₁₃	semidirect
614. #476	C₂²×C₁₃	semidirect
615. #475	C₂²×C₁₃	semidirect
616. #470	C₂²×C₁₃	semidirect
617. #470	C₂²×C₁₃	semidirect
618. #470	C₂²×C₁₃	semidirect
619. #469	C₂²×C₁₃	semidirect
622. #465	C₂²×C₁₃	semidirect
623. #465	C₂²×C₁₃	semidirect
624. #464	C₂²×C₁₃	semidirect
625. #464	C₂²×C₁₃	semidirect
626. #463	C₂²×C₁₃	semidirect
627. #463	C₂²×C₁₃	semidirect
628. #462	C₂²×C₁₃	semidirect
629. #461	C₂²×C₁₃	semidirect
632. #452	C₂²×C₁₃	semidirect
633. #452	C₂²×C₁₃	semidirect
634. #452	C₂²×C₁₃	semidirect
635. #452	C₂²×C₁₃	semidirect
636. #451	C₂²×C₁₃	semidirect
637. #451	C₂²×C₁₃	semidirect
638. #451	C₂²×C₁₃	semidirect
639. #450	C₂²×C₁₃	semidirect
642. #449	C₂²×C₁₃	semidirect
643. #449	C₂²×C₁₃	semidirect
645. #448	C₂²×C₁₃	semidirect
646. #448	C₂²×C₁₃	semidirect
648. #442	C₂²×C₁₃	semidirect
649. #441	C₂²×C₁₃	semidirect
650. C₄×SD₁₆	C₂²×C₁₃	semidirect
651. C₄×SD₁₆	C₂²×C₁₃	semidirect
652. #436	C₂²×C₁₃	semidirect
653. #435	C₂²×C₁₃	semidirect
654. #435	C₂²×C₁₃	semidirect
655. C₈×D₄	C₂²×C₁₃	semidirect
656. #433	C₂²×C₁₃	semidirect
659. #417	C₂²×C₁₃	semidirect
660. C₂×#103	C₂²×C₁₃	semidirect
661. C₂×#103	C₂²×C₁₃	semidirect
662. C₂×#102	C₂²×C₁₃	semidirect
663. #408	C₂²×C₁₃	semidirect
1047. C₁₃	#61620	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×#3489	2
C₁₃×#3331	2
C₁₃×#3316	2
C₁₃×#3306	2
C₁₃×#3298	2
C₁₃×#3282	2
C₁₃×#3275	2
C₁₃×#3270	2
C₁₃×#3267	2
C₁₃×#3225	2
C₁₃×#3204	2
C₁₃×#3195	2
C₁₃×#3187	2
C₁₃×#3125	2
C₁₃×#3013	2
C₁₃×#3006	2
C₂×C₁₃×#452	2
C₁₃×#2976	2
#61620	13

Subgroups — C13×#61620 #15747959

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61620 #15747959