Subgroups — C₁₃×#61693 #15748032

Order 3328.

2014 conjugacy classes of subgroups.

The subgroup lattice has 1192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
9	D₄×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3283	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3209	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3202	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3011	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	—
25	C₂×C₁₃×#137	C₂²	1	2	yes	—
26	C₂×C₁₃×#137	C₂²	1	2	yes	—
27	C₂×C₁₃×#135	C₂²	1	2	yes	—
28	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	—
29	C₁₃×#562	—	2	2	no	—
30	C₁₃×#555	—	2	1	no	—
31	C₁₃×#555	C₂²	1	1	yes	characteristic
32	C₁₃×#554	C₂²	1	1	yes	characteristic
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#552	C₂²	1	2	yes	—
35	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#548	C₂²	1	2	yes	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#547	—	2	1	no	—
42	C₁₃×#547	—	2	2	no	—
43	C₁₃×#547	C₂²	1	2	yes	—
44	C₁₃×#547	C₂²	1	1	yes	characteristic
45	C₁₃×#547	C₂²	1	1	yes	characteristic
46	C₁₃×#547	C₂²	1	1	yes	characteristic
47	C₁₃×#544	—	2	1	no	—
48	C₁₃×#542	—	2	2	no	—
49	C₁₃×#540	—	2	1	no	—
50	C₁₃×#537	C₂²	1	2	yes	—
51	C₁₃×#536	—	2	2	no	—
52	C₁₃×#536	C₂²	1	2	yes	—
53	C₁₃×#536	C₂²	1	2	yes	—
54	C₁₃×#533	C₂²	1	1	yes	characteristic
55	C₁₃×#532	—	2	1	no	—
56	C₁₃×#532	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
58	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
61	C₁₃×#497	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic
63	C₁₃×#494	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	—
65	C₁₃×#487	C₂²	1	1	yes	characteristic
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#485	C₂²	1	2	yes	—
69	C₁₃×#485	C₂²	1	1	yes	characteristic
70	C₁₃×#485	C₂²	1	2	yes	—
71	C₁₃×#484	C₂²	1	2	yes	—
72	C₁₃×#483	C₂²	1	2	yes	—
73	C₁₃×#482	C₂²	1	1	yes	characteristic
74	C₁₃×#479	C₂²	1	1	yes	characteristic
75	C₁₃×#478	C₂²	1	1	yes	characteristic
76	C₁₃×#477	C₂²	1	1	yes	characteristic
77	C₁₃×#476	C₂²	1	1	yes	characteristic
78	C₁₃×#470	C₂²	1	2	yes	—
79	C₁₃×#470	C₂²	1	2	yes	—
80	C₁₃×#470	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	—
82	C₁₃×#467	C₂²	1	2	yes	—
83	C₁₃×#467	C₂²	1	2	yes	—
84	C₁₃×#467	C₂²	1	2	yes	—
85	C₁₃×#465	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	1	yes	characteristic
87	C₁₃×#463	C₂²	1	1	yes	characteristic
88	C₁₃×#462	C₂²	1	2	yes	—
89	C₁₃×#462	C₂²	1	2	yes	—
90	C₁₃×#462	C₂²	1	1	yes	characteristic
91	C₁₃×#462	C₂²	1	1	yes	characteristic
92	C₁₃×#462	C₂²	1	1	yes	characteristic
93	C₁₃×#461	C₂²	1	1	yes	characteristic
94	C₁₃×#461	C₂²	1	1	yes	characteristic
95	C₁₃×#461	C₂²	1	1	yes	characteristic
96	C₁₃×#452	C₂²	1	1	yes	characteristic
97	C₁₃×#452	C₂²	1	2	yes	—
98	C₁₃×#452	C₂²	1	2	yes	—
99	C₁₃×#452	C₂²	1	2	yes	—
100	C₁₃×#452	C₂²	1	2	yes	—
101	C₁₃×#452	C₂²	1	2	yes	—
102	C₁₃×#452	C₂²	1	2	yes	—
103	C₁₃×#451	C₂²	1	2	yes	—
104	C₁₃×#451	C₂²	1	2	yes	—
105	C₁₃×#451	C₂²	1	2	yes	—
106	C₁₃×#451	C₂²	1	2	yes	—
107	C₁₃×#451	C₂²	1	2	yes	—
108	C₁₃×#451	C₂²	1	2	yes	—
109	C₁₃×#451	C₂²	1	2	yes	—
110	C₁₃×#451	C₂²	1	2	yes	—
111	C₁₃×#449	C₂²	1	1	yes	characteristic
112	C₁₃×#449	C₂²	1	2	yes	—
113	C₁₃×#448	C₂²	1	2	yes	—
114	C₁₃×#448	C₂²	1	2	yes	—
115	C₁₃×#441	C₂²	1	2	yes	—
116	C₁₃×#440	C₂²	1	2	yes	—
117	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#436	C₂²	1	1	yes	characteristic
123	C₁₃×#435	C₂²	1	2	yes	—
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
126	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
127	C₁₃×#432	C₂²	1	1	yes	characteristic
128	C₁₃×#431	C₂²	1	1	yes	characteristic
129	C₁₃×#419	C₂²	1	2	yes	—
130	C₁₃×#417	C₂²	1	2	yes	—
131	C₁₃×#416	C₂²	1	2	yes	—
132	C₂×C₁₃×#103	C₂²	1	2	yes	—
133	C₁₃×#408	C₂²	1	2	yes	—
134	C₁₃×#408	C₂²	1	2	yes	—
135	C₁₃×2₋¹⁺⁴	—	4	4	no	—
136	C₁₃×2₋¹⁺⁴	—	4	4	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	2	no	—
139	C₂×C₁₃×#41	—	2	2	no	—
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	2	yes	—
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂²×Q₈×C₁₃	—	2	2	no	—
146	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
147	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
148	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
149	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
150	C₁₃×#137	—	4	4	no	—
151	C₁₃×#137	—	4	4	no	—
152	C₁₃×#135	—	4	4	no	—
153	C₂×C₁₃×Q₁₆	—	4	4	no	—
154	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
164	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
165	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
166	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
167	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
168	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
169	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
170	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
171	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
172	C₁₃×C₄⋊Q₈	—	2	2	no	—
173	C₁₃×C₄⋊Q₈	—	2	2	no	—
174	C₁₃×C₄⋊Q₈	—	2	1	no	—
175	C₁₃×C₄⋊Q₈	—	2	1	no	—
176	C₁₃×C₄⋊Q₈	—	2	2	no	—
177	C₁₃×C₄⋊Q₈	—	2	1	no	—
178	C₁₃×C₄⋊Q₈	—	2	1	no	—
179	C₁₃×C₄⋊Q₈	—	2	1	no	—
180	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
181	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
182	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
183	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
184	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
185	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
186	C₁₃×#127	D₄	1	1	yes	characteristic
187	C₁₃×#126	—	2	2	no	—
188	C₁₃×#126	—	2	1	no	—
189	C₁₃×#125	—	2	2	no	—
190	C₁₃×#125	—	2	1	no	—
191	C₁₃×#125	—	2	1	no	—
192	C₁₃×#125	C₂³	1	1	yes	characteristic
193	C₁₃×#124	—	2	2	no	—
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	—	2	2	no	—
196	C₁₃×#124	—	2	2	no	—
197	C₁₃×#124	D₄	1	2	yes	—
198	C₁₃×#124	C₂³	1	1	yes	characteristic
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	2	no	—
214	C₁₃×C₂²⋊Q₈	—	2	2	no	—
215	C₁₃×C₂²⋊Q₈	—	2	2	no	—
216	C₁₃×C₂²⋊Q₈	—	2	2	no	—
217	C₁₃×C₂²⋊Q₈	—	2	2	no	—
218	C₁₃×C₂²⋊Q₈	—	2	2	no	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
227	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	2	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	D₄	1	1	yes	characteristic
238	C₁₃×#121	D₄	1	1	yes	characteristic
239	C₁₃×#121	D₄	1	2	yes	—
240	C₁₃×#121	C₂³	1	1	yes	characteristic
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₄×Q₈×C₁₃	—	2	1	no	—
243	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	2	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	2	no	—
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₃	C₂³	1	2	yes	—
262	C₁₃×#117	—	2	1	no	—
263	C₁₃×#117	—	2	1	no	—
264	C₁₃×#117	—	2	2	no	—
265	C₁₃×#117	—	2	1	no	—
266	C₁₃×#117	—	2	1	no	—
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₁₃×#117	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
271	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
272	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
274	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
275	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
276	C₂×C₄²×C₁₃	—	2	1	no	—
277	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
278	C₁₃×#107	C₂³	1	1	yes	characteristic
279	C₁₃×#107	C₂³	1	1	yes	characteristic
280	C₁₃×#107	C₂³	1	2	yes	—
281	C₁₃×#106	C₂³	1	1	yes	characteristic
282	C₁₃×#106	C₂³	1	1	yes	characteristic
283	C₁₃×#106	C₂³	1	2	yes	—
284	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#103	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	1	yes	characteristic
307	C₁₃×#102	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
315	C₁₃×#97	C₂³	1	2	yes	—
316	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
318	#61693	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	4	no	—
322	C₁₃×#41	—	2	4	no	—
323	C₁₃×#41	—	4	2	no	—
324	C₁₃×#41	—	4	2	no	—
325	C₁₃×#41	—	4	2	no	—
326	C₁₃×#41	—	4	2	no	—
327	C₁₃×#41	—	4	8	no	—
328	C₁₃×#41	—	4	2	no	—
329	C₁₃×#41	—	4	2	no	—
330	C₁₃×#41	—	4	8	no	—
331	C₁₃×#41	—	4	8	no	—
332	C₂×Q₈×C₁₃	—	2	2	no	—
333	C₂×Q₈×C₁₃	—	2	2	no	—
334	C₂×Q₈×C₁₃	—	2	2	no	—
335	C₂×Q₈×C₁₃	—	2	1	no	—
336	C₂×Q₈×C₁₃	—	2	2	no	—
337	C₂×Q₈×C₁₃	—	2	4	no	—
338	C₂×Q₈×C₁₃	—	2	4	no	—
339	C₂×Q₈×C₁₃	—	4	2	no	—
340	C₂×Q₈×C₁₃	—	4	2	no	—
341	C₂×Q₈×C₁₃	—	4	2	no	—
342	C₂×Q₈×C₁₃	—	4	2	no	—
343	C₂×Q₈×C₁₃	—	4	8	no	—
344	C₂×Q₈×C₁₃	—	4	2	no	—
345	C₂×Q₈×C₁₃	—	4	2	no	—
346	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
347	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
348	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
349	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
351	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂×D₄×C₁₃	—	2	1	no	—
353	C₂×D₄×C₁₃	—	2	2	no	—
354	C₂×D₄×C₁₃	—	2	2	no	—
355	C₂×D₄×C₁₃	—	2	1	no	—
356	C₂×D₄×C₁₃	—	2	2	no	—
357	C₂×D₄×C₁₃	—	2	2	no	—
358	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
361	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
362	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
363	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
364	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	—	2	1	no	—
367	C₂²×C₄×C₁₃	—	2	2	no	—
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	—	2	2	no	—
372	C₂²×C₄×C₁₃	—	2	1	no	—
373	C₂²×C₄×C₁₃	—	2	1	no	—
374	C₂²×C₄×C₁₃	—	2	2	no	—
375	C₂²×C₄×C₁₃	—	2	2	no	—
376	C₂²×C₄×C₁₃	—	2	1	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂×D₄	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	2	yes	—
383	C₁₃×Q₁₆	—	2	2	no	—
384	C₁₃×Q₁₆	—	2	4	no	—
385	C₁₃×Q₁₆	—	4	2	no	—
386	C₁₃×Q₁₆	—	4	2	no	—
387	C₁₃×Q₁₆	—	4	2	no	—
388	C₁₃×Q₁₆	—	4	2	no	—
389	C₁₃×Q₁₆	—	4	2	no	—
390	C₁₃×Q₁₆	—	4	2	no	—
391	C₁₃×SD₁₆	—	2	2	no	—
392	C₁₃×SD₁₆	—	2	4	no	—
393	C₁₃×SD₁₆	—	2	2	no	—
394	C₁₃×SD₁₆	—	4	2	no	—
395	C₁₃×SD₁₆	—	4	2	no	—
396	C₁₃×D₈	—	2	2	no	—
397	C₁₃×M₁₆	—	4	2	no	—
398	C₁₃×M₁₆	—	4	2	no	—
399	C₂×C₈×C₁₃	—	4	2	no	—
400	C₂×C₈×C₁₃	—	4	2	no	—
401	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
406	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	—	2	2	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	1	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	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	2	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
433	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
434	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
435	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
436	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
437	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
438	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
439	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	1	no	—
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	2	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	1	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	no	—
453	C₁₃×C₂²⋊C₄	—	2	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	1	no	—
455	C₁₃×C₂²⋊C₄	—	2	2	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	no	—
458	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
459	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
460	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
461	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
462	C₄²×C₁₃	—	2	1	no	—
463	C₄²×C₁₃	—	2	1	no	—
464	C₄²×C₁₃	—	2	1	no	—
465	C₄²×C₁₃	—	2	2	no	—
466	C₄²×C₁₃	—	2	2	no	—
467	C₄²×C₁₃	—	2	1	no	—
468	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
469	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
470	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
472	#3547	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3331	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3329	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3315	C₂×C₁₃	1	2	yes	complemented
477	#3312	C₂×C₁₃	1	2	yes	complemented
478	#3303	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
480	D₄×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#3283	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3270	C₂×C₁₃	1	2	yes	complemented
485	#3269	C₂×C₁₃	1	2	yes	complemented
486	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
487	#3209	C₂×C₁₃	1	1	yes	characteristic, complemented
488	#3202	C₂×C₁₃	1	2	yes	complemented
489	#3201	C₂×C₁₃	1	2	yes	complemented
490	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
491	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
492	#3013	C₂×C₁₃	1	2	yes	complemented
493	#3011	C₂×C₁₃	1	2	yes	complemented
494	#2981	C₂×C₁₃	1	1	yes	characteristic, complemented
495	C₂³×C₁₃	—	2	1	no	—
496	C₂³×C₁₃	—	2	1	no	—
497	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
498	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
499	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
500	Q₈×C₁₃	—	2	1	no	—
501	Q₈×C₁₃	—	2	1	no	—
502	Q₈×C₁₃	—	2	2	no	—
503	Q₈×C₁₃	—	2	2	no	—
504	Q₈×C₁₃	—	2	2	no	—
505	Q₈×C₁₃	—	2	1	no	—
506	Q₈×C₁₃	—	2	2	no	—
507	Q₈×C₁₃	—	2	2	no	—
508	Q₈×C₁₃	—	2	2	no	—
509	Q₈×C₁₃	—	4	2	no	—
510	Q₈×C₁₃	—	4	4	no	—
511	Q₈×C₁₃	—	4	4	no	—
512	Q₈×C₁₃	—	4	4	no	—
513	Q₈×C₁₃	—	8	1	no	—
514	Q₈×C₁₃	—	8	2	no	—
515	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
516	D₄×C₁₃	—	2	4	no	—
517	D₄×C₁₃	—	2	2	no	—
518	D₄×C₁₃	—	2	2	no	—
519	D₄×C₁₃	—	2	1	no	—
520	D₄×C₁₃	—	2	1	no	—
521	D₄×C₁₃	—	2	1	no	—
522	D₄×C₁₃	—	4	2	no	—
523	D₄×C₁₃	—	4	2	no	—
524	D₄×C₁₃	—	4	2	no	—
525	D₄×C₁₃	—	4	2	no	—
526	D₄×C₁₃	—	4	4	no	—
527	D₄×C₁₃	—	4	4	no	—
528	D₄×C₁₃	—	8	1	no	—
529	D₄×C₁₃	—	8	2	no	—
530	D₄×C₁₃	—	8	2	no	—
531	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
532	C₂×C₄×C₁₃	—	2	4	no	—
533	C₂×C₄×C₁₃	—	2	1	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	2	no	—
538	C₂×C₄×C₁₃	—	2	2	no	—
539	C₂×C₄×C₁₃	—	2	1	no	—
540	C₂×C₄×C₁₃	—	2	1	no	—
541	C₂×C₄×C₁₃	—	2	1	no	—
542	C₂×C₄×C₁₃	—	2	1	no	—
543	C₂×C₄×C₁₃	—	2	1	no	—
544	C₂×C₄×C₁₃	—	2	2	no	—
545	C₂×C₄×C₁₃	—	2	1	no	—
546	C₂×C₄×C₁₃	—	2	1	no	—
547	C₂×C₄×C₁₃	—	2	2	no	—
548	C₂×C₄×C₁₃	—	2	2	no	—
549	C₂×C₄×C₁₃	—	2	2	no	—
550	C₂×C₄×C₁₃	—	4	1	no	—
551	C₂×C₄×C₁₃	—	4	4	no	—
552	C₂×C₄×C₁₃	—	4	4	no	—
553	C₂×C₄×C₁₃	—	4	4	no	—
554	C₂×C₄×C₁₃	—	4	4	no	—
555	C₂×C₄×C₁₃	—	4	2	no	—
556	C₂×C₄×C₁₃	—	4	4	no	—
557	C₂×C₄×C₁₃	—	4	2	no	—
558	C₂×C₄×C₁₃	—	4	2	no	—
559	C₂×C₄×C₁₃	—	8	2	no	—
560	C₂×C₄×C₁₃	—	8	2	no	—
561	C₂×C₄×C₁₃	—	8	2	no	—
562	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
563	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
564	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
565	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
566	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
567	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
568	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
569	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
570	C₈×C₁₃	—	2	1	no	—
571	C₈×C₁₃	—	2	1	no	—
572	C₈×C₁₃	—	2	2	no	—
573	C₈×C₁₃	—	2	2	no	—
574	C₈×C₁₃	—	2	1	no	—
575	C₈×C₁₃	—	2	1	no	—
576	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	—
577	C₂×#137	C₂²×C₁₃	1	2	yes	—
578	C₂×#137	C₂²×C₁₃	1	2	yes	—
579	C₂×#135	C₂²×C₁₃	1	2	yes	—
580	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	—
581	#562	—	2	2	no	—
582	#555	—	2	1	no	—
583	#555	C₂²×C₁₃	1	1	yes	characteristic
584	#554	C₂²×C₁₃	1	1	yes	characteristic
585	#553	—	2	1	no	—
586	#552	C₂²×C₁₃	1	2	yes	—
587	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
588	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
589	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
590	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
591	#548	C₂²×C₁₃	1	2	yes	—
592	#547	—	2	1	no	—
593	#547	—	2	1	no	—
594	#547	—	2	2	no	—
595	#547	C₂²×C₁₃	1	1	yes	characteristic
596	#547	C₂²×C₁₃	1	2	yes	—
597	#547	C₂²×C₁₃	1	1	yes	characteristic
598	#547	C₂²×C₁₃	1	1	yes	characteristic
599	#544	—	2	1	no	—
600	#542	—	2	2	no	—
601	#540	—	2	1	no	—
602	#537	C₂²×C₁₃	1	2	yes	—
603	#536	—	2	2	no	—
604	#536	C₂²×C₁₃	1	2	yes	—
605	#536	C₂²×C₁₃	1	2	yes	—
606	#533	C₂²×C₁₃	1	1	yes	characteristic
607	#532	—	2	1	no	—
608	#532	C₂²×C₁₃	1	1	yes	characteristic
609	C₂×C₄⋊Q₈	—	2	1	no	—
610	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
611	#529	C₂²×C₁₃	1	1	yes	characteristic
612	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
613	#497	C₂²×C₁₃	1	2	yes	—
614	#494	C₂²×C₁₃	1	1	yes	characteristic
615	#494	C₂²×C₁₃	1	1	yes	characteristic
616	#491	C₂²×C₁₃	1	2	yes	—
617	#487	C₂²×C₁₃	1	1	yes	characteristic
618	#487	C₂²×C₁₃	1	1	yes	characteristic
619	#485	C₂²×C₁₃	1	2	yes	—
620	#485	C₂²×C₁₃	1	1	yes	characteristic
621	#485	C₂²×C₁₃	1	2	yes	—
622	#485	C₂²×C₁₃	1	2	yes	—
623	#484	C₂²×C₁₃	1	2	yes	—
624	#483	C₂²×C₁₃	1	2	yes	—
625	#482	C₂²×C₁₃	1	1	yes	characteristic
626	#479	C₂²×C₁₃	1	1	yes	characteristic
627	#478	C₂²×C₁₃	1	1	yes	characteristic
628	#477	C₂²×C₁₃	1	1	yes	characteristic
629	#476	C₂²×C₁₃	1	1	yes	characteristic
630	#470	C₂²×C₁₃	1	2	yes	—
631	#470	C₂²×C₁₃	1	2	yes	—
632	#470	C₂²×C₁₃	1	2	yes	—
633	#468	C₂²×C₁₃	1	2	yes	—
634	#467	C₂²×C₁₃	1	2	yes	—
635	#467	C₂²×C₁₃	1	2	yes	—
636	#467	C₂²×C₁₃	1	2	yes	—
637	#465	C₂²×C₁₃	1	2	yes	—
638	#464	C₂²×C₁₃	1	1	yes	characteristic
639	#463	C₂²×C₁₃	1	1	yes	characteristic
640	#462	C₂²×C₁₃	1	1	yes	characteristic
641	#462	C₂²×C₁₃	1	1	yes	characteristic
642	#462	C₂²×C₁₃	1	2	yes	—
643	#462	C₂²×C₁₃	1	2	yes	—
644	#462	C₂²×C₁₃	1	1	yes	characteristic
645	#461	C₂²×C₁₃	1	1	yes	characteristic
646	#461	C₂²×C₁₃	1	1	yes	characteristic
647	#461	C₂²×C₁₃	1	1	yes	characteristic
648	#452	C₂²×C₁₃	1	2	yes	—
649	#452	C₂²×C₁₃	1	1	yes	characteristic
650	#452	C₂²×C₁₃	1	2	yes	—
651	#452	C₂²×C₁₃	1	2	yes	—
652	#452	C₂²×C₁₃	1	2	yes	—
653	#452	C₂²×C₁₃	1	2	yes	—
654	#452	C₂²×C₁₃	1	2	yes	—
655	#451	C₂²×C₁₃	1	2	yes	—
656	#451	C₂²×C₁₃	1	2	yes	—
657	#451	C₂²×C₁₃	1	2	yes	—
658	#451	C₂²×C₁₃	1	2	yes	—
659	#451	C₂²×C₁₃	1	2	yes	—
660	#451	C₂²×C₁₃	1	2	yes	—
661	#451	C₂²×C₁₃	1	2	yes	—
662	#451	C₂²×C₁₃	1	2	yes	—
663	#449	C₂²×C₁₃	1	1	yes	characteristic
664	#449	C₂²×C₁₃	1	2	yes	—
665	#448	C₂²×C₁₃	1	2	yes	—
666	#448	C₂²×C₁₃	1	2	yes	—
667	#441	C₂²×C₁₃	1	2	yes	—
668	#440	C₂²×C₁₃	1	2	yes	—
669	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
670	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
671	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
672	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
673	#436	C₂²×C₁₃	1	1	yes	characteristic
674	#436	C₂²×C₁₃	1	1	yes	characteristic
675	#435	C₂²×C₁₃	1	2	yes	—
676	#435	C₂²×C₁₃	1	2	yes	—
677	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
678	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
679	#432	C₂²×C₁₃	1	1	yes	characteristic
680	#431	C₂²×C₁₃	1	1	yes	characteristic
681	#419	C₂²×C₁₃	1	2	yes	—
682	#417	C₂²×C₁₃	1	2	yes	—
683	#416	C₂²×C₁₃	1	2	yes	—
684	C₂×#103	C₂²×C₁₃	1	2	yes	—
685	#408	C₂²×C₁₃	1	2	yes	—
686	#408	C₂²×C₁₃	1	2	yes	—
687	C₂²×C₁₃	—	2	1	no	—
688	C₂²×C₁₃	—	2	2	no	—
689	C₂²×C₁₃	—	2	2	no	—
690	C₂²×C₁₃	—	2	1	no	—
691	C₂²×C₁₃	—	2	2	no	—
692	C₂²×C₁₃	—	2	2	no	—
693	C₂²×C₁₃	—	2	2	no	—
694	C₂²×C₁₃	—	2	1	no	—
695	C₂²×C₁₃	—	2	2	no	—
696	C₂²×C₁₃	—	2	2	no	—
697	C₂²×C₁₃	—	4	1	no	—
698	C₂²×C₁₃	—	4	1	no	—
699	C₂²×C₁₃	—	4	1	no	—
700	C₂²×C₁₃	—	4	1	no	—
701	C₂²×C₁₃	—	4	1	no	—
702	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
703	C₄×C₁₃	—	2	1	no	—
704	C₄×C₁₃	—	2	1	no	—
705	C₄×C₁₃	—	2	1	no	—
706	C₄×C₁₃	—	2	2	no	—
707	C₄×C₁₃	—	2	2	no	—
708	C₄×C₁₃	—	2	2	no	—
709	C₄×C₁₃	—	2	1	no	—
710	C₄×C₁₃	—	4	1	no	—
711	C₄×C₁₃	—	4	1	no	—
712	C₄×C₁₃	—	4	2	no	—
713	C₄×C₁₃	—	4	2	no	—
714	C₄×C₁₃	—	4	2	no	—
715	C₄×C₁₃	—	4	2	no	—
716	C₄×C₁₃	—	4	1	no	—
717	C₄×C₁₃	—	4	1	no	—
718	C₄×C₁₃	—	4	1	no	—
719	C₄×C₁₃	#578	1	2	yes	—
720	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
721	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
722	2₋¹⁺⁴	—	4	4	no	—
723	2₋¹⁺⁴	—	4	4	no	—
724	C₂×#41	—	2	2	no	—
725	C₂×#41	—	2	2	no	—
726	C₂×#41	—	2	2	no	—
727	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
728	C₂×#41	C₂³×C₁₃	1	2	yes	—
729	C₂×#41	C₂³×C₁₃	1	2	yes	—
730	C₂×#41	C₂³×C₁₃	1	2	yes	—
731	C₂×#41	C₂³×C₁₃	1	2	yes	—
732	C₂²×Q₈	—	2	2	no	—
733	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
734	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
735	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
736	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
737	#137	—	4	4	no	—
738	#137	—	4	4	no	—
739	#135	—	4	4	no	—
740	C₂×Q₁₆	—	4	4	no	—
741	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
742	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
743	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
744	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
745	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
746	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
747	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
748	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
749	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
750	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
751	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
752	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
753	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
754	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
755	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
756	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
757	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
758	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
759	C₄⋊Q₈	—	2	2	no	—
760	C₄⋊Q₈	—	2	2	no	—
761	C₄⋊Q₈	—	2	1	no	—
762	C₄⋊Q₈	—	2	1	no	—
763	C₄⋊Q₈	—	2	2	no	—
764	C₄⋊Q₈	—	2	1	no	—
765	C₄⋊Q₈	—	2	1	no	—
766	C₄⋊Q₈	—	2	1	no	—
767	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
768	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
769	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
770	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
771	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	#127	D₄×C₁₃	1	1	yes	characteristic
774	#126	—	2	2	no	—
775	#126	—	2	1	no	—
776	#125	—	2	2	no	—
777	#125	—	2	1	no	—
778	#125	—	2	1	no	—
779	#125	C₂³×C₁₃	1	1	yes	characteristic
780	#124	—	2	2	no	—
781	#124	—	2	2	no	—
782	#124	—	2	2	no	—
783	#124	—	2	2	no	—
784	#124	D₄×C₁₃	1	2	yes	—
785	#124	C₂³×C₁₃	1	1	yes	characteristic
786	#123	—	2	2	no	—
787	#123	—	2	2	no	—
788	#123	—	2	2	no	—
789	#123	—	2	2	no	—
790	#123	—	2	2	no	—
791	#123	—	2	1	no	—
792	#123	—	2	2	no	—
793	#123	—	2	2	no	—
794	#123	—	2	2	no	—
795	#123	—	2	2	no	—
796	#123	—	2	2	no	—
797	C₂²⋊Q₈	—	2	2	no	—
798	C₂²⋊Q₈	—	2	1	no	—
799	C₂²⋊Q₈	—	2	2	no	—
800	C₂²⋊Q₈	—	2	2	no	—
801	C₂²⋊Q₈	—	2	2	no	—
802	C₂²⋊Q₈	—	2	2	no	—
803	C₂²⋊Q₈	—	2	2	no	—
804	C₂²⋊Q₈	—	2	2	no	—
805	C₂²⋊Q₈	—	2	2	no	—
806	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
807	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
808	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
809	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
810	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
811	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
812	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
813	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
814	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
815	#121	—	2	1	no	—
816	#121	—	2	1	no	—
817	#121	—	2	2	no	—
818	#121	—	2	2	no	—
819	#121	—	2	2	no	—
820	#121	—	2	2	no	—
821	#121	—	2	1	no	—
822	#121	—	2	2	no	—
823	#121	—	2	1	no	—
824	#121	D₄×C₁₃	1	1	yes	characteristic
825	#121	D₄×C₁₃	1	1	yes	characteristic
826	#121	D₄×C₁₃	1	2	yes	—
827	#121	C₂³×C₁₃	1	1	yes	characteristic
828	#121	C₂³×C₁₃	1	2	yes	—
829	C₄×Q₈	—	2	1	no	—
830	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
832	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
833	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
834	C₄×D₄	—	2	1	no	—
835	C₄×D₄	—	2	1	no	—
836	C₄×D₄	—	2	2	no	—
837	C₄×D₄	—	2	1	no	—
838	C₄×D₄	—	2	1	no	—
839	C₄×D₄	—	2	1	no	—
840	C₄×D₄	—	2	1	no	—
841	C₄×D₄	—	2	1	no	—
842	C₄×D₄	—	2	2	no	—
843	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
844	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
845	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
846	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
847	C₄×D₄	C₂³×C₁₃	1	2	yes	—
848	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
849	#117	—	2	1	no	—
850	#117	—	2	1	no	—
851	#117	—	2	2	no	—
852	#117	—	2	1	no	—
853	#117	—	2	1	no	—
854	#117	C₂³×C₁₃	1	1	yes	characteristic
855	#117	C₂³×C₁₃	1	2	yes	—
856	C₂×C₄⋊C₄	—	2	1	no	—
857	C₂×C₄⋊C₄	—	2	1	no	—
858	C₂×C₄⋊C₄	—	2	1	no	—
859	C₂×C₄⋊C₄	—	2	1	no	—
860	C₂×C₄⋊C₄	—	2	2	no	—
861	C₂×C₄⋊C₄	—	2	1	no	—
862	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
863	C₂×C₄²	—	2	1	no	—
864	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
865	#107	C₂³×C₁₃	1	1	yes	characteristic
866	#107	C₂³×C₁₃	1	1	yes	characteristic
867	#107	C₂³×C₁₃	1	2	yes	—
868	#106	C₂³×C₁₃	1	1	yes	characteristic
869	#106	C₂³×C₁₃	1	1	yes	characteristic
870	#106	C₂³×C₁₃	1	2	yes	—
871	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
872	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
873	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
874	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
875	#103	C₂³×C₁₃	1	1	yes	characteristic
876	#103	C₂³×C₁₃	1	2	yes	—
877	#103	C₂³×C₁₃	1	2	yes	—
878	#103	C₂³×C₁₃	1	2	yes	—
879	#103	C₂³×C₁₃	1	2	yes	—
880	#103	C₂³×C₁₃	1	2	yes	—
881	#103	C₂³×C₁₃	1	2	yes	—
882	#103	C₂³×C₁₃	1	2	yes	—
883	#103	C₂³×C₁₃	1	1	yes	characteristic
884	#103	C₂³×C₁₃	1	2	yes	—
885	#103	C₂³×C₁₃	1	2	yes	—
886	#103	C₂³×C₁₃	1	1	yes	characteristic
887	#103	C₂³×C₁₃	1	1	yes	characteristic
888	#103	C₂³×C₁₃	1	2	yes	—
889	#103	C₂³×C₁₃	1	2	yes	—
890	#102	C₂³×C₁₃	1	1	yes	characteristic
891	#102	C₂³×C₁₃	1	2	yes	—
892	#102	C₂³×C₁₃	1	1	yes	characteristic
893	#102	C₂³×C₁₃	1	1	yes	characteristic
894	#102	C₂³×C₁₃	1	1	yes	characteristic
895	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
896	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
897	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
898	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
899	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
900	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
901	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
902	#97	C₂³×C₁₃	1	2	yes	—
903	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
904	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
905	C₂×C₁₃	—	4	1	no	—
906	C₂×C₁₃	—	4	2	no	—
907	C₂×C₁₃	—	4	2	no	—
908	C₂×C₁₃	—	4	2	no	—
909	C₂×C₁₃	—	8	1	no	—
910	C₂×C₁₃	#3484	1	1	yes	characteristic
911	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
912	C₂×C₁₃	#3586	1	1	yes	characteristic
913	#41	—	2	2	no	—
914	#41	—	2	2	no	—
915	#41	—	2	4	no	—
916	#41	—	2	4	no	—
917	#41	—	4	2	no	—
918	#41	—	4	2	no	—
919	#41	—	4	2	no	—
920	#41	—	4	2	no	—
921	#41	—	4	8	no	—
922	#41	—	4	2	no	—
923	#41	—	4	2	no	—
924	#41	—	4	8	no	—
925	#41	—	4	8	no	—
926	C₂×Q₈	—	2	2	no	—
927	C₂×Q₈	—	2	2	no	—
928	C₂×Q₈	—	2	2	no	—
929	C₂×Q₈	—	2	1	no	—
930	C₂×Q₈	—	2	2	no	—
931	C₂×Q₈	—	2	4	no	—
932	C₂×Q₈	—	2	4	no	—
933	C₂×Q₈	—	4	2	no	—
934	C₂×Q₈	—	4	2	no	—
935	C₂×Q₈	—	4	2	no	—
936	C₂×Q₈	—	4	2	no	—
937	C₂×Q₈	—	4	8	no	—
938	C₂×Q₈	—	4	2	no	—
939	C₂×Q₈	—	4	2	no	—
940	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
941	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
942	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
943	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
945	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂×D₄	—	2	1	no	—
947	C₂×D₄	—	2	2	no	—
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	2	1	no	—
950	C₂×D₄	—	2	2	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
953	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
954	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
955	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
956	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
957	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
958	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂²×C₄	—	2	1	no	—
961	C₂²×C₄	—	2	2	no	—
962	C₂²×C₄	—	2	2	no	—
963	C₂²×C₄	—	2	2	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	1	no	—
967	C₂²×C₄	—	2	1	no	—
968	C₂²×C₄	—	2	2	no	—
969	C₂²×C₄	—	2	2	no	—
970	C₂²×C₄	—	2	1	no	—
971	C₂²×C₄	—	2	2	no	—
972	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
973	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
974	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
975	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
976	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
977	Q₁₆	—	2	2	no	—
978	Q₁₆	—	2	4	no	—
979	Q₁₆	—	4	2	no	—
980	Q₁₆	—	4	2	no	—
981	Q₁₆	—	4	2	no	—
982	Q₁₆	—	4	2	no	—
983	Q₁₆	—	4	2	no	—
984	Q₁₆	—	4	2	no	—
985	SD₁₆	—	2	2	no	—
986	SD₁₆	—	2	4	no	—
987	SD₁₆	—	2	2	no	—
988	SD₁₆	—	4	2	no	—
989	SD₁₆	—	4	2	no	—
990	D₈	—	2	2	no	—
991	M₁₆	—	4	2	no	—
992	M₁₆	—	4	2	no	—
993	C₂×C₈	—	4	2	no	—
994	C₂×C₈	—	4	2	no	—
995	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	1	no	—
1004	C₄⋊C₄	—	2	1	no	—
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	1	no	—
1007	C₄⋊C₄	—	2	1	no	—
1008	C₄⋊C₄	—	2	2	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	2	no	—
1014	C₄⋊C₄	—	2	1	no	—
1015	C₄⋊C₄	—	2	1	no	—
1016	C₄⋊C₄	—	2	1	no	—
1017	C₄⋊C₄	—	2	1	no	—
1018	C₄⋊C₄	—	2	2	no	—
1019	C₄⋊C₄	—	2	1	no	—
1020	C₄⋊C₄	—	2	1	no	—
1021	C₄⋊C₄	—	2	2	no	—
1022	C₄⋊C₄	—	2	2	no	—
1023	C₄⋊C₄	—	2	1	no	—
1024	C₄⋊C₄	—	2	2	no	—
1025	C₄⋊C₄	—	2	1	no	—
1026	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1027	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1029	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1031	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1032	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1033	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	2	no	—
1036	C₂²⋊C₄	—	2	1	no	—
1037	C₂²⋊C₄	—	2	2	no	—
1038	C₂²⋊C₄	—	2	2	no	—
1039	C₂²⋊C₄	—	2	2	no	—
1040	C₂²⋊C₄	—	2	2	no	—
1041	C₂²⋊C₄	—	2	2	no	—
1042	C₂²⋊C₄	—	2	2	no	—
1043	C₂²⋊C₄	—	2	2	no	—
1044	C₂²⋊C₄	—	2	1	no	—
1045	C₂²⋊C₄	—	2	1	no	—
1046	C₂²⋊C₄	—	2	1	no	—
1047	C₂²⋊C₄	—	2	1	no	—
1048	C₂²⋊C₄	—	2	1	no	—
1049	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	2	1	no	—
1051	C₂²⋊C₄	—	2	1	no	—
1052	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1053	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1054	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1055	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1056	C₄²	—	2	1	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	2	no	—
1060	C₄²	—	2	2	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1063	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1064	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₁₃	#61693	1	1	yes	characteristic, direct product factor, Sylow
1067	C₂³	—	2	1	no	—
1068	C₂³	—	2	1	no	—
1069	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1070	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1071	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1072	Q₈	—	2	1	no	—
1073	Q₈	—	2	1	no	—
1074	Q₈	—	2	2	no	—
1075	Q₈	—	2	2	no	—
1076	Q₈	—	2	2	no	—
1077	Q₈	—	2	1	no	—
1078	Q₈	—	2	2	no	—
1079	Q₈	—	2	2	no	—
1080	Q₈	—	2	2	no	—
1081	Q₈	—	4	2	no	—
1082	Q₈	—	4	4	no	—
1083	Q₈	—	4	4	no	—
1084	Q₈	—	4	4	no	—
1085	Q₈	—	8	2	no	—
1086	Q₈	—	8	1	no	—
1087	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1088	D₄	—	2	4	no	—
1089	D₄	—	2	2	no	—
1090	D₄	—	2	2	no	—
1091	D₄	—	2	1	no	—
1092	D₄	—	2	1	no	—
1093	D₄	—	2	1	no	—
1094	D₄	—	4	2	no	—
1095	D₄	—	4	2	no	—
1096	D₄	—	4	2	no	—
1097	D₄	—	4	2	no	—
1098	D₄	—	4	4	no	—
1099	D₄	—	4	4	no	—
1100	D₄	—	8	1	no	—
1101	D₄	—	8	2	no	—
1102	D₄	—	8	2	no	—
1103	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	2	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	2	2	no	—
1117	C₂×C₄	—	2	1	no	—
1118	C₂×C₄	—	2	1	no	—
1119	C₂×C₄	—	2	2	no	—
1120	C₂×C₄	—	2	2	no	—
1121	C₂×C₄	—	2	2	no	—
1122	C₂×C₄	—	4	1	no	—
1123	C₂×C₄	—	4	4	no	—
1124	C₂×C₄	—	4	4	no	—
1125	C₂×C₄	—	4	4	no	—
1126	C₂×C₄	—	4	4	no	—
1127	C₂×C₄	—	4	2	no	—
1128	C₂×C₄	—	4	4	no	—
1129	C₂×C₄	—	4	2	no	—
1130	C₂×C₄	—	4	2	no	—
1131	C₂×C₄	—	8	2	no	—
1132	C₂×C₄	—	8	2	no	—
1133	C₂×C₄	—	8	2	no	—
1134	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1135	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1136	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1137	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1138	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1139	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1140	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1141	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1142	C₈	—	2	1	no	—
1143	C₈	—	2	1	no	—
1144	C₈	—	2	2	no	—
1145	C₈	—	2	2	no	—
1146	C₈	—	2	1	no	—
1147	C₈	—	2	1	no	—
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	2	no	—
1151	C₂²	—	2	1	no	—
1152	C₂²	—	2	2	no	—
1153	C₂²	—	2	2	no	—
1154	C₂²	—	2	1	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	2	no	—
1157	C₂²	—	2	2	no	—
1158	C₂²	—	4	1	no	—
1159	C₂²	—	4	1	no	—
1160	C₂²	—	4	1	no	—
1161	C₂²	—	4	1	no	—
1162	C₂²	—	4	1	no	—
1163	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1164	C₄	—	2	1	no	—
1165	C₄	—	2	1	no	—
1166	C₄	—	2	1	no	—
1167	C₄	—	2	1	no	—
1168	C₄	—	2	2	no	—
1169	C₄	—	2	2	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	4	1	no	—
1172	C₄	—	4	1	no	—
1173	C₄	—	4	1	no	—
1174	C₄	—	4	1	no	—
1175	C₄	—	4	2	no	—
1176	C₄	—	4	2	no	—
1177	C₄	—	4	2	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	1	no	—
1180	C₄	C₁₃×#578	1	2	yes	—
1181	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1182	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1183	C₂	—	4	1	no	—
1184	C₂	—	4	2	no	—
1185	C₂	—	4	2	no	—
1186	C₂	—	4	2	no	—
1187	C₂	—	8	1	no	—
1188	C₂	C₁₃×#3484	1	1	yes	characteristic
1189	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1190	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3547	C₂	semidirect
2. C₁₃×#3499	C₂	semidirect
3. C₁₃×#3331	C₂	semidirect
4. C₁₃×#3329	C₂	semidirect
5. C₁₃×#3315	C₂	semidirect
6. C₁₃×#3312	C₂	semidirect
7. C₁₃×#3303	C₂	semidirect
8. C₁₃×#3299	C₂	semidirect
9. D₄×C₁₃×Q₁₆	C₂	semidirect
10. C₁₃×#3283	C₂	semidirect
11. C₁₃×#3276	C₂	semidirect
12. C₁₃×#3276	C₂	semidirect
13. C₁₃×#3270	C₂	semidirect
14. C₁₃×#3269	C₂	semidirect
15. C₁₃×#3218	C₂	semidirect
16. C₁₃×#3209	C₂	semidirect
17. C₁₃×#3202	C₂	semidirect
18. C₁₃×#3201	C₂	semidirect
19. C₁₃×#3116	C₂	semidirect
20. C₁₃×#3102	C₂	semidirect
21. C₁₃×#3013	C₂	semidirect
22. C₁₃×#3011	C₂	semidirect
23. C₁₃×#2981	C₂	semidirect
318. #61693	C₁₃	direct (N × H)
472. #3547	C₂×C₁₃	semidirect
473. #3499	C₂×C₁₃	semidirect
474. #3331	C₂×C₁₃	semidirect
475. #3329	C₂×C₁₃	semidirect
476. #3315	C₂×C₁₃	semidirect
477. #3312	C₂×C₁₃	semidirect
478. #3303	C₂×C₁₃	semidirect
479. #3299	C₂×C₁₃	semidirect
480. D₄×Q₁₆	C₂×C₁₃	semidirect
481. #3283	C₂×C₁₃	semidirect
482. #3276	C₂×C₁₃	semidirect
483. #3276	C₂×C₁₃	semidirect
484. #3270	C₂×C₁₃	semidirect
485. #3269	C₂×C₁₃	semidirect
486. #3218	C₂×C₁₃	semidirect
487. #3209	C₂×C₁₃	semidirect
488. #3202	C₂×C₁₃	semidirect
489. #3201	C₂×C₁₃	semidirect
490. #3116	C₂×C₁₃	semidirect
491. #3102	C₂×C₁₃	semidirect
492. #3013	C₂×C₁₃	semidirect
493. #3011	C₂×C₁₃	semidirect
494. #2981	C₂×C₁₃	semidirect
1066. C₁₃	#61693	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×#3547	2
C₁₃×#3499	2
C₁₃×#3331	2
C₁₃×#3329	2
C₁₃×#3315	2
C₁₃×#3312	2
C₁₃×#3303	2
C₁₃×#3299	2
D₄×C₁₃×Q₁₆	2
C₁₃×#3283	2
C₁₃×#3276	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3218	2
C₁₃×#3209	2
C₁₃×#3202	2
C₁₃×#3201	2
C₁₃×#3116	2
C₁₃×#3102	2
C₁₃×#3013	2
C₁₃×#3011	2
C₁₃×#2981	2
#61693	13

Subgroups — C13×#61693 #15748032

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61693 #15748032