Subgroups — C₁₃×#61168 #15747507

Order 3328.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3492	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3486	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3320	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3299	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3298	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3137	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3092	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3050	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3004	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2929	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2898	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×C₁₃×#103	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
30	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
31	C₁₃×#554	—	2	1	no	—
32	C₁₃×#554	C₂²	1	2	yes	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	C₂²	1	2	yes	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#552	C₂²	1	2	yes	—
37	D₄×Q₈×C₁₃	—	2	1	no	—
38	D₄×Q₈×C₁₃	—	2	1	no	—
39	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
40	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
41	C₁₃×#548	—	2	1	no	—
42	C₁₃×#548	—	2	1	no	—
43	C₁₃×#548	C₂²	1	2	yes	—
44	C₁₃×#548	C₂²	1	2	yes	—
45	C₁₃×#547	—	2	1	no	—
46	C₁₃×#547	C₂²	1	2	yes	—
47	C₁₃×#544	C₂²	1	1	yes	characteristic
48	C₁₃×#539	—	2	2	no	—
49	C₁₃×#537	C₂²	1	1	yes	characteristic
50	C₁₃×#536	—	2	2	no	—
51	C₁₃×#536	C₂²	1	1	yes	characteristic
52	C₁₃×#536	C₂²	1	1	yes	characteristic
53	C₁₃×#525	—	2	2	no	—
54	C₁₃×#525	—	2	2	no	—
55	C₁₃×#525	C₂²	1	1	yes	characteristic
56	C₁₃×#525	C₂²	1	1	yes	characteristic
57	C₁₃×#525	C₂²	1	1	yes	characteristic
58	C₁₃×#520	C₂²	1	1	yes	characteristic
59	C₁₃×#520	C₂²	1	1	yes	characteristic
60	C₁₃×#519	C₂²	1	1	yes	characteristic
61	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	C₁₃×#491	C₂²	1	2	yes	complemented
63	C₁₃×#489	C₂²	1	2	yes	complemented
64	C₁₃×#488	C₂²	1	2	yes	complemented
65	C₁₃×#487	C₂²	1	2	yes	complemented
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#484	C₂²	1	2	yes	—
69	C₁₃×#484	C₂²	1	2	yes	complemented
70	C₁₃×#483	C₂²	1	2	yes	—
71	C₁₃×#483	C₂²	1	2	yes	complemented
72	C₁₃×#481	C₂²	1	2	yes	—
73	C₁₃×#480	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	2	yes	complemented
75	C₁₃×#479	C₂²	1	2	yes	complemented
76	C₁₃×#477	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#470	C₂²	1	2	yes	complemented
79	C₁₃×#468	C₂²	1	2	yes	complemented
80	C₁₃×#467	C₂²	1	1	yes	characteristic
81	C₁₃×#467	C₂²	1	1	yes	characteristic
82	C₁₃×#467	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	1	yes	characteristic
84	C₁₃×#466	C₂²	1	1	yes	characteristic
85	C₁₃×#465	C₂²	1	1	yes	characteristic
86	C₁₃×#465	C₂²	1	1	yes	characteristic
87	C₁₃×#465	C₂²	1	1	yes	characteristic
88	C₁₃×#465	C₂²	1	1	yes	characteristic
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#462	C₂²	1	2	yes	complemented
93	C₁₃×#461	C₂²	1	2	yes	complemented
94	C₁₃×#452	C₂²	1	2	yes	complemented
95	C₁₃×#451	C₂²	1	2	yes	—
96	C₁₃×#451	C₂²	1	2	yes	—
97	C₁₃×#451	C₂²	1	2	yes	complemented
98	C₁₃×#449	C₂²	1	2	yes	complemented
99	C₁₃×#448	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	—
101	C₁₃×#448	C₂²	1	2	yes	complemented
102	C₁₃×#441	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
105	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	—
107	C₁₃×#435	C₂²	1	2	yes	—
108	C₈×D₄×C₁₃	C₂²	1	2	yes	—
109	C₈×D₄×C₁₃	C₂²	1	2	yes	—
110	C₁₃×#428	C₂²	1	1	yes	characteristic
111	C₁₃×#428	C₂²	1	1	yes	characteristic
112	C₁₃×#427	C₂²	1	1	yes	characteristic
113	C₁₃×#424	C₂²	1	1	yes	characteristic
114	C₁₃×#419	C₂²	1	1	yes	characteristic
115	C₁₃×#419	C₂²	1	1	yes	characteristic
116	C₁₃×#419	C₂²	1	2	yes	complemented
117	C₁₃×#417	C₂²	1	1	yes	characteristic
118	C₁₃×#417	C₂²	1	1	yes	characteristic
119	C₁₃×#417	C₂²	1	2	yes	complemented
120	C₁₃×#416	C₂²	1	1	yes	characteristic
121	C₁₃×#416	C₂²	1	1	yes	characteristic
122	C₁₃×#416	C₂²	1	2	yes	complemented
123	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
124	C₂×C₁₃×#103	C₂²	1	2	yes	—
125	C₂×C₁₃×#103	C₂²	1	2	yes	—
126	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
127	C₂×C₁₃×#103	C₂²	1	2	yes	—
128	C₂×C₁₃×#103	C₂²	1	2	yes	—
129	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₁₃×#407	C₂²	1	1	yes	characteristic
134	C₁₃×#405	C₂²	1	1	yes	characteristic
135	C₁₃×2₋¹⁺⁴	—	2	4	no	—
136	C₁₃×2₋¹⁺⁴	—	4	2	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	2	no	—
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂²×Q₈×C₁₃	—	2	1	no	—
145	C₂²×Q₈×C₁₃	—	2	1	no	—
146	C₂²×Q₈×C₁₃	—	2	1	no	—
147	C₂²×Q₈×C₁₃	—	2	1	no	—
148	C₂²×Q₈×C₁₃	—	2	4	no	—
149	C₂²×Q₈×C₁₃	—	4	2	no	—
150	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
152	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
153	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
154	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃	—	2	1	no	—
156	C₂³×C₄×C₁₃	—	2	1	no	—
157	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₁₃×#137	—	2	4	no	—
159	C₁₃×#137	—	4	2	no	—
160	C₁₃×#135	—	4	2	no	—
161	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×Q₁₆	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	1	yes	characteristic
167	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
168	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
169	C₁₃×#131	—	4	2	no	—
170	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
171	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
172	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
173	C₂²×C₈×C₁₃	—	4	2	no	—
174	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
175	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
176	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
177	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
178	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
179	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
180	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
181	C₁₃×C₄⋊Q₈	—	2	1	no	—
182	C₁₃×C₄⋊Q₈	—	2	2	no	—
183	C₁₃×C₄⋊Q₈	—	2	2	no	—
184	C₁₃×C₄⋊Q₈	—	2	1	no	—
185	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
186	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
187	C₁₃×#126	—	2	2	no	—
188	C₁₃×#126	—	2	2	no	—
189	C₁₃×#125	—	2	2	no	—
190	C₁₃×#125	—	2	2	no	—
191	C₁₃×#125	—	2	1	no	—
192	C₁₃×#125	C₂³	1	2	yes	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	—	2	2	no	—
196	C₁₃×#124	C₂³	1	2	yes	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	D₄	1	2	yes	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	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	D₄	1	1	yes	characteristic
220	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
227	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	2	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	D₄	1	1	yes	characteristic
234	C₁₃×#121	D₄	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	2	yes	—
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#120	—	2	1	no	—
241	C₁₃×#120	—	2	1	no	—
242	C₁₃×#120	D₄	1	2	yes	—
243	C₄×Q₈×C₁₃	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	1	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
248	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
249	C₄×D₄×C₁₃	—	2	2	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	2	no	—
252	C₄×D₄×C₁₃	—	2	2	no	—
253	C₄×D₄×C₁₃	—	2	2	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	2	no	—
259	C₄×D₄×C₁₃	—	2	2	no	—
260	C₄×D₄×C₁₃	—	2	2	no	—
261	C₄×D₄×C₁₃	—	2	2	no	—
262	C₄×D₄×C₁₃	C₂³	1	2	yes	—
263	C₄×D₄×C₁₃	C₂³	1	2	yes	—
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₁₃×#117	—	2	1	no	—
266	C₁₃×#117	—	2	2	no	—
267	C₁₃×#117	—	2	2	no	—
268	C₁₃×#117	C₂³	1	1	yes	characteristic
269	C₁₃×#117	C₂³	1	1	yes	characteristic
270	C₁₃×#117	C₂³	1	2	yes	—
271	C₁₃×#117	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
274	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
275	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
281	C₁₃×#107	C₂³	1	1	yes	characteristic
282	C₁₃×#107	C₂³	1	1	yes	characteristic
283	C₁₃×#107	C₂³	1	2	yes	—
284	C₁₃×#107	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	1	yes	characteristic
286	C₁₃×#106	C₂³	1	1	yes	characteristic
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×#106	C₂³	1	2	yes	—
289	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
290	C₁₃×C₄⋊C₈	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	2	yes	—
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	2	yes	—
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#103	C₂³	1	1	yes	characteristic
303	C₁₃×#103	C₂³	1	1	yes	characteristic
304	C₁₃×#103	C₂³	1	1	yes	characteristic
305	C₁₃×#103	C₂³	1	2	yes	—
306	C₁₃×#103	C₂³	1	2	yes	—
307	C₁₃×#103	C₂³	1	2	yes	—
308	C₁₃×#103	C₂³	1	2	yes	—
309	C₁₃×#102	C₂³	1	1	yes	characteristic
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	1	yes	characteristic
313	C₁₃×#102	C₂³	1	2	yes	—
314	C₁₃×#102	C₂³	1	2	yes	—
315	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
317	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₃×#97	C₂³	1	2	yes	—
320	C₄×C₈×C₁₃	C₂³	1	2	yes	—
321	#61168	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
322	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
323	C₁₃×#41	—	2	2	no	—
324	C₁₃×#41	—	2	2	no	—
325	C₁₃×#41	—	2	4	no	—
326	C₁₃×#41	—	2	2	no	—
327	C₁₃×#41	—	2	2	no	—
328	C₁₃×#41	—	2	2	no	—
329	C₁₃×#41	—	2	2	no	—
330	C₁₃×#41	—	4	2	no	—
331	C₁₃×#41	—	4	8	no	—
332	C₁₃×#41	—	4	4	no	—
333	C₁₃×#41	—	8	4	no	—
334	C₂×Q₈×C₁₃	—	2	1	no	—
335	C₂×Q₈×C₁₃	—	2	2	no	—
336	C₂×Q₈×C₁₃	—	2	2	no	—
337	C₂×Q₈×C₁₃	—	2	1	no	—
338	C₂×Q₈×C₁₃	—	2	2	no	—
339	C₂×Q₈×C₁₃	—	2	2	no	—
340	C₂×Q₈×C₁₃	—	2	2	no	—
341	C₂×Q₈×C₁₃	—	2	4	no	—
342	C₂×Q₈×C₁₃	—	2	4	no	—
343	C₂×Q₈×C₁₃	—	2	4	no	—
344	C₂×Q₈×C₁₃	—	2	2	no	—
345	C₂×Q₈×C₁₃	—	2	2	no	—
346	C₂×Q₈×C₁₃	—	4	4	no	—
347	C₂×Q₈×C₁₃	—	4	2	no	—
348	C₂×Q₈×C₁₃	—	4	2	no	—
349	C₂×Q₈×C₁₃	—	4	2	no	—
350	C₂×Q₈×C₁₃	—	4	4	no	—
351	C₂×Q₈×C₁₃	—	4	4	no	—
352	C₂×Q₈×C₁₃	—	4	4	no	—
353	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
354	C₂×Q₈×C₁₃	#41	1	4	yes	complemented
355	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
356	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
359	C₂×D₄×C₁₃	—	2	1	no	—
360	C₂×D₄×C₁₃	—	2	1	no	—
361	C₂×D₄×C₁₃	—	2	1	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	2	no	—
367	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
368	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
369	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
370	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
371	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	1	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	2	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	—	2	2	no	—
385	C₂²×C₄×C₁₃	—	2	1	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	4	4	no	—
390	C₂²×C₄×C₁₃	—	8	2	no	—
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₁₃×Q₁₆	—	2	4	no	—
399	C₁₃×Q₁₆	—	4	1	no	—
400	C₁₃×Q₁₆	—	4	2	no	—
401	C₁₃×SD₁₆	—	2	4	no	—
402	C₁₃×SD₁₆	—	4	1	no	—
403	C₁₃×SD₁₆	—	4	1	no	—
404	C₁₃×SD₁₆	—	4	2	no	—
405	C₁₃×D₈	—	4	1	no	—
406	C₁₃×M₁₆	—	2	2	no	—
407	C₁₃×M₁₆	—	2	2	no	—
408	C₁₃×M₁₆	—	4	2	no	—
409	C₂×C₈×C₁₃	—	2	2	no	—
410	C₂×C₈×C₁₃	—	2	2	no	—
411	C₂×C₈×C₁₃	—	4	1	no	—
412	C₂×C₈×C₁₃	—	4	1	no	—
413	C₂×C₈×C₁₃	—	4	1	no	—
414	C₂×C₈×C₁₃	—	4	1	no	—
415	C₂×C₈×C₁₃	—	4	2	no	—
416	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
418	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
420	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	no	—
426	C₁₃×C₄⋊C₄	—	2	2	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₁₃×C₄⋊C₄	—	2	2	no	—
430	C₁₃×C₄⋊C₄	—	2	2	no	—
431	C₁₃×C₄⋊C₄	—	2	2	no	—
432	C₁₃×C₄⋊C₄	—	2	2	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	2	2	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	1	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	—	2	2	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
445	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	2	no	—
461	C₁₃×C₂²⋊C₄	—	2	2	no	—
462	C₁₃×C₂²⋊C₄	—	2	2	no	—
463	C₁₃×C₂²⋊C₄	—	2	2	no	—
464	C₁₃×C₂²⋊C₄	—	2	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
471	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
472	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
473	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
474	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
475	C₄²×C₁₃	—	2	2	no	—
476	C₄²×C₁₃	—	2	2	no	—
477	C₄²×C₁₃	—	2	2	no	—
478	C₄²×C₁₃	—	2	2	no	—
479	C₄²×C₁₃	—	2	1	no	—
480	C₄²×C₁₃	—	2	1	no	—
481	C₄²×C₁₃	C₂⁴	1	2	yes	—
482	#3492	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3486	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3320	C₂×C₁₃	1	2	yes	complemented
485	#3316	C₂×C₁₃	1	2	yes	complemented
486	#3312	C₂×C₁₃	1	2	yes	complemented
487	#3308	C₂×C₁₃	1	2	yes	complemented
488	#3301	C₂×C₁₃	1	2	yes	complemented
489	#3300	C₂×C₁₃	1	2	yes	complemented
490	#3299	C₂×C₁₃	1	2	yes	complemented
491	#3298	C₂×C₁₃	1	2	yes	complemented
492	#3137	C₂×C₁₃	1	1	yes	characteristic, complemented
493	#3097	C₂×C₁₃	1	1	yes	characteristic, complemented
494	#3092	C₂×C₁₃	1	1	yes	characteristic, complemented
495	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
496	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
497	#3050	C₂×C₁₃	1	1	yes	characteristic, complemented
498	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
500	#3004	C₂×C₁₃	1	1	yes	characteristic, complemented
501	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#2929	C₂×C₁₃	1	1	yes	characteristic, complemented
503	#2898	C₂×C₁₃	1	1	yes	characteristic, complemented
504	C₂²×#103	C₂×C₁₃	1	1	yes	characteristic, complemented
505	C₂³×C₁₃	—	2	2	no	—
506	C₂³×C₁₃	—	2	2	no	—
507	C₂³×C₁₃	—	2	2	no	—
508	C₂³×C₁₃	—	2	1	no	—
509	C₂³×C₁₃	—	2	1	no	—
510	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
511	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
512	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
513	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
514	Q₈×C₁₃	—	2	4	no	—
515	Q₈×C₁₃	—	2	2	no	—
516	Q₈×C₁₃	—	2	2	no	—
517	Q₈×C₁₃	—	2	1	no	—
518	Q₈×C₁₃	—	2	2	no	—
519	Q₈×C₁₃	—	2	1	no	—
520	Q₈×C₁₃	—	2	1	no	—
521	Q₈×C₁₃	—	2	2	no	—
522	Q₈×C₁₃	—	2	1	no	—
523	Q₈×C₁₃	—	4	4	no	—
524	Q₈×C₁₃	—	4	4	no	—
525	Q₈×C₁₃	—	4	4	no	—
526	Q₈×C₁₃	—	4	2	no	—
527	Q₈×C₁₃	—	8	2	no	—
528	Q₈×C₁₃	C₂×#41	1	4	yes	—
529	D₄×C₁₃	—	2	4	no	—
530	D₄×C₁₃	—	2	4	no	—
531	D₄×C₁₃	—	2	4	no	—
532	D₄×C₁₃	—	2	2	no	—
533	D₄×C₁₃	—	2	1	no	—
534	D₄×C₁₃	—	2	1	no	—
535	D₄×C₁₃	—	2	1	no	—
536	D₄×C₁₃	—	2	1	no	—
537	D₄×C₁₃	—	4	4	no	—
538	D₄×C₁₃	—	4	2	no	—
539	D₄×C₁₃	—	4	2	no	—
540	D₄×C₁₃	—	4	2	no	—
541	D₄×C₁₃	—	4	2	no	—
542	D₄×C₁₃	—	4	2	no	—
543	D₄×C₁₃	—	4	2	no	—
544	D₄×C₁₃	—	8	2	no	—
545	C₂×C₄×C₁₃	—	2	2	no	—
546	C₂×C₄×C₁₃	—	2	4	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	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	2	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	2	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	2	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	4	4	no	—
566	C₂×C₄×C₁₃	—	4	4	no	—
567	C₂×C₄×C₁₃	—	4	4	no	—
568	C₂×C₄×C₁₃	—	4	4	no	—
569	C₂×C₄×C₁₃	—	4	2	no	—
570	C₂×C₄×C₁₃	—	4	4	no	—
571	C₂×C₄×C₁₃	—	4	2	no	—
572	C₂×C₄×C₁₃	—	4	2	no	—
573	C₂×C₄×C₁₃	—	8	2	no	—
574	C₂×C₄×C₁₃	—	8	1	no	—
575	C₂×C₄×C₁₃	—	8	2	no	—
576	C₂×C₄×C₁₃	—	8	1	no	—
577	C₂×C₄×C₁₃	—	8	2	no	—
578	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
579	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
580	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
581	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
584	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
585	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
586	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
587	C₈×C₁₃	—	2	2	no	—
588	C₈×C₁₃	—	2	1	no	—
589	C₈×C₁₃	—	2	1	no	—
590	C₈×C₁₃	—	2	1	no	—
591	C₈×C₁₃	—	2	1	no	—
592	C₈×C₁₃	—	2	2	no	—
593	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
594	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic
595	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
596	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
597	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
598	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
599	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
600	#554	—	2	1	no	—
601	#554	C₂²×C₁₃	1	2	yes	—
602	#553	—	2	1	no	—
603	#553	C₂²×C₁₃	1	2	yes	—
604	#552	—	2	1	no	—
605	#552	C₂²×C₁₃	1	2	yes	—
606	D₄×Q₈	—	2	1	no	—
607	D₄×Q₈	—	2	1	no	—
608	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
609	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
610	#548	—	2	1	no	—
611	#548	—	2	1	no	—
612	#548	C₂²×C₁₃	1	2	yes	—
613	#548	C₂²×C₁₃	1	2	yes	—
614	#547	—	2	1	no	—
615	#547	C₂²×C₁₃	1	2	yes	—
616	#544	C₂²×C₁₃	1	1	yes	characteristic
617	#539	—	2	2	no	—
618	#537	C₂²×C₁₃	1	1	yes	characteristic
619	#536	—	2	2	no	—
620	#536	C₂²×C₁₃	1	1	yes	characteristic
621	#536	C₂²×C₁₃	1	1	yes	characteristic
622	#525	—	2	2	no	—
623	#525	—	2	2	no	—
624	#525	C₂²×C₁₃	1	1	yes	characteristic
625	#525	C₂²×C₁₃	1	1	yes	characteristic
626	#525	C₂²×C₁₃	1	1	yes	characteristic
627	#520	C₂²×C₁₃	1	1	yes	characteristic
628	#520	C₂²×C₁₃	1	1	yes	characteristic
629	#519	C₂²×C₁₃	1	1	yes	characteristic
630	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
631	#491	C₂²×C₁₃	1	2	yes	complemented
632	#489	C₂²×C₁₃	1	2	yes	complemented
633	#488	C₂²×C₁₃	1	2	yes	complemented
634	#487	C₂²×C₁₃	1	2	yes	complemented
635	#485	C₂²×C₁₃	1	2	yes	complemented
636	#485	C₂²×C₁₃	1	2	yes	complemented
637	#484	C₂²×C₁₃	1	2	yes	—
638	#484	C₂²×C₁₃	1	2	yes	complemented
639	#483	C₂²×C₁₃	1	2	yes	—
640	#483	C₂²×C₁₃	1	2	yes	complemented
641	#481	C₂²×C₁₃	1	2	yes	—
642	#480	C₂²×C₁₃	1	2	yes	—
643	#479	C₂²×C₁₃	1	2	yes	complemented
644	#479	C₂²×C₁₃	1	2	yes	complemented
645	#477	C₂²×C₁₃	1	2	yes	complemented
646	#475	C₂²×C₁₃	1	2	yes	complemented
647	#470	C₂²×C₁₃	1	2	yes	complemented
648	#468	C₂²×C₁₃	1	2	yes	complemented
649	#467	C₂²×C₁₃	1	1	yes	characteristic
650	#467	C₂²×C₁₃	1	1	yes	characteristic
651	#467	C₂²×C₁₃	1	2	yes	complemented
652	#466	C₂²×C₁₃	1	1	yes	characteristic
653	#466	C₂²×C₁₃	1	1	yes	characteristic
654	#465	C₂²×C₁₃	1	1	yes	characteristic
655	#465	C₂²×C₁₃	1	1	yes	characteristic
656	#465	C₂²×C₁₃	1	1	yes	characteristic
657	#465	C₂²×C₁₃	1	1	yes	characteristic
658	#465	C₂²×C₁₃	1	2	yes	complemented
659	#464	C₂²×C₁₃	1	2	yes	complemented
660	#463	C₂²×C₁₃	1	2	yes	complemented
661	#462	C₂²×C₁₃	1	2	yes	complemented
662	#461	C₂²×C₁₃	1	2	yes	complemented
663	#452	C₂²×C₁₃	1	2	yes	complemented
664	#451	C₂²×C₁₃	1	2	yes	—
665	#451	C₂²×C₁₃	1	2	yes	—
666	#451	C₂²×C₁₃	1	2	yes	complemented
667	#449	C₂²×C₁₃	1	2	yes	complemented
668	#448	C₂²×C₁₃	1	2	yes	—
669	#448	C₂²×C₁₃	1	2	yes	—
670	#448	C₂²×C₁₃	1	2	yes	complemented
671	#441	C₂²×C₁₃	1	2	yes	complemented
672	#440	C₂²×C₁₃	1	2	yes	complemented
673	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
674	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
675	#435	C₂²×C₁₃	1	2	yes	—
676	#435	C₂²×C₁₃	1	2	yes	—
677	C₈×D₄	C₂²×C₁₃	1	2	yes	—
678	C₈×D₄	C₂²×C₁₃	1	2	yes	—
679	#428	C₂²×C₁₃	1	1	yes	characteristic
680	#428	C₂²×C₁₃	1	1	yes	characteristic
681	#427	C₂²×C₁₃	1	1	yes	characteristic
682	#424	C₂²×C₁₃	1	1	yes	characteristic
683	#419	C₂²×C₁₃	1	1	yes	characteristic
684	#419	C₂²×C₁₃	1	1	yes	characteristic
685	#419	C₂²×C₁₃	1	2	yes	complemented
686	#417	C₂²×C₁₃	1	1	yes	characteristic
687	#417	C₂²×C₁₃	1	1	yes	characteristic
688	#417	C₂²×C₁₃	1	2	yes	complemented
689	#416	C₂²×C₁₃	1	1	yes	characteristic
690	#416	C₂²×C₁₃	1	1	yes	characteristic
691	#416	C₂²×C₁₃	1	2	yes	complemented
692	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
693	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
694	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
695	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
696	C₂×#103	C₂²×C₁₃	1	2	yes	—
697	C₂×#103	C₂²×C₁₃	1	2	yes	—
698	C₂×#103	C₂²×C₁₃	1	2	yes	—
699	C₂×#103	C₂²×C₁₃	1	2	yes	—
700	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
701	#408	C₂²×C₁₃	1	1	yes	characteristic
702	#407	C₂²×C₁₃	1	1	yes	characteristic
703	#405	C₂²×C₁₃	1	1	yes	characteristic
704	C₂²×C₁₃	—	2	8	no	—
705	C₂²×C₁₃	—	2	1	no	—
706	C₂²×C₁₃	—	2	1	no	—
707	C₂²×C₁₃	—	2	1	no	—
708	C₂²×C₁₃	—	2	1	no	—
709	C₂²×C₁₃	—	2	1	no	—
710	C₂²×C₁₃	—	2	1	no	—
711	C₂²×C₁₃	—	2	2	no	—
712	C₂²×C₁₃	—	2	2	no	—
713	C₂²×C₁₃	—	2	2	no	—
714	C₂²×C₁₃	—	4	1	no	—
715	C₂²×C₁₃	—	4	1	no	—
716	C₂²×C₁₃	—	4	1	no	—
717	C₂²×C₁₃	—	4	1	no	—
718	C₂²×C₁₃	—	4	1	no	—
719	C₂²×C₁₃	—	4	1	no	—
720	C₂²×C₁₃	#546	1	2	yes	—
721	C₂²×C₁₃	#577	1	2	yes	—
722	C₂²×C₁₃	#578	1	2	yes	—
723	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
724	C₄×C₁₃	—	2	1	no	—
725	C₄×C₁₃	—	2	1	no	—
726	C₄×C₁₃	—	2	4	no	—
727	C₄×C₁₃	—	2	2	no	—
728	C₄×C₁₃	—	2	2	no	—
729	C₄×C₁₃	—	2	2	no	—
730	C₄×C₁₃	—	4	1	no	—
731	C₄×C₁₃	—	4	2	no	—
732	C₄×C₁₃	—	4	1	no	—
733	C₄×C₁₃	—	4	2	no	—
734	C₄×C₁₃	—	4	2	no	—
735	C₄×C₁₃	—	4	1	no	—
736	C₄×C₁₃	—	4	1	no	—
737	C₄×C₁₃	—	4	1	no	—
738	C₄×C₁₃	—	4	1	no	—
739	C₄×C₁₃	#546	1	2	yes	—
740	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
741	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
742	2₋¹⁺⁴	—	2	4	no	—
743	2₋¹⁺⁴	—	4	2	no	—
744	C₂×#41	—	2	2	no	—
745	C₂×#41	—	2	1	no	—
746	C₂×#41	—	2	2	no	—
747	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
748	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
749	C₂×#41	C₂³×C₁₃	1	2	yes	—
750	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
751	C₂²×Q₈	—	2	1	no	—
752	C₂²×Q₈	—	2	1	no	—
753	C₂²×Q₈	—	2	1	no	—
754	C₂²×Q₈	—	2	1	no	—
755	C₂²×Q₈	—	2	4	no	—
756	C₂²×Q₈	—	4	2	no	—
757	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
758	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
759	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
760	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
761	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
762	C₂³×C₄	—	2	1	no	—
763	C₂³×C₄	—	2	1	no	—
764	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
765	#137	—	2	4	no	—
766	#137	—	4	2	no	—
767	#135	—	4	2	no	—
768	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
769	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
770	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
771	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
773	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
774	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
775	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
776	#131	—	4	2	no	—
777	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
778	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
779	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
780	C₂²×C₈	—	4	2	no	—
781	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
788	C₄⋊Q₈	—	2	1	no	—
789	C₄⋊Q₈	—	2	2	no	—
790	C₄⋊Q₈	—	2	2	no	—
791	C₄⋊Q₈	—	2	1	no	—
792	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
793	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
794	#126	—	2	2	no	—
795	#126	—	2	2	no	—
796	#125	—	2	2	no	—
797	#125	—	2	2	no	—
798	#125	—	2	1	no	—
799	#125	C₂³×C₁₃	1	2	yes	—
800	#124	—	2	1	no	—
801	#124	—	2	2	no	—
802	#124	—	2	2	no	—
803	#124	C₂³×C₁₃	1	2	yes	—
804	#123	—	2	2	no	—
805	#123	—	2	2	no	—
806	#123	—	2	1	no	—
807	#123	—	2	1	no	—
808	#123	—	2	2	no	—
809	#123	—	2	2	no	—
810	#123	—	2	2	no	—
811	#123	—	2	2	no	—
812	#123	D₄×C₁₃	1	2	yes	—
813	C₂²⋊Q₈	—	2	1	no	—
814	C₂²⋊Q₈	—	2	2	no	—
815	C₂²⋊Q₈	—	2	2	no	—
816	C₂²⋊Q₈	—	2	1	no	—
817	C₂²⋊Q₈	—	2	1	no	—
818	C₂²⋊Q₈	—	2	2	no	—
819	C₂²⋊Q₈	—	2	2	no	—
820	C₂²⋊Q₈	—	2	2	no	—
821	C₂²⋊Q₈	—	2	2	no	—
822	C₂²⋊Q₈	—	2	2	no	—
823	C₂²⋊Q₈	—	2	2	no	—
824	C₂²⋊Q₈	—	2	2	no	—
825	C₂²⋊Q₈	—	2	2	no	—
826	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
827	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
828	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
829	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
830	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
831	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
832	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
833	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
834	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
835	#121	—	2	2	no	—
836	#121	—	2	2	no	—
837	#121	—	2	2	no	—
838	#121	—	2	2	no	—
839	#121	—	2	1	no	—
840	#121	D₄×C₁₃	1	1	yes	characteristic
841	#121	D₄×C₁₃	1	1	yes	characteristic
842	#121	C₂³×C₁₃	1	1	yes	characteristic
843	#121	C₂³×C₁₃	1	1	yes	characteristic
844	#121	C₂³×C₁₃	1	1	yes	characteristic
845	#121	C₂³×C₁₃	1	1	yes	characteristic
846	#121	C₂³×C₁₃	1	2	yes	—
847	#120	—	2	1	no	—
848	#120	—	2	1	no	—
849	#120	D₄×C₁₃	1	2	yes	—
850	C₄×Q₈	—	2	1	no	—
851	C₄×Q₈	—	2	1	no	—
852	C₄×Q₈	—	2	1	no	—
853	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
854	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
855	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
856	C₄×D₄	—	2	2	no	—
857	C₄×D₄	—	2	1	no	—
858	C₄×D₄	—	2	2	no	—
859	C₄×D₄	—	2	2	no	—
860	C₄×D₄	—	2	2	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	2	no	—
866	C₄×D₄	—	2	2	no	—
867	C₄×D₄	—	2	2	no	—
868	C₄×D₄	—	2	2	no	—
869	C₄×D₄	C₂³×C₁₃	1	2	yes	—
870	C₄×D₄	C₂³×C₁₃	1	2	yes	—
871	C₄×D₄	C₂³×C₁₃	1	2	yes	—
872	#117	—	2	1	no	—
873	#117	—	2	2	no	—
874	#117	—	2	2	no	—
875	#117	C₂³×C₁₃	1	1	yes	characteristic
876	#117	C₂³×C₁₃	1	1	yes	characteristic
877	#117	C₂³×C₁₃	1	2	yes	—
878	#117	C₂³×C₁₃	1	1	yes	characteristic
879	C₂×C₄⋊C₄	—	2	1	no	—
880	C₂×C₄⋊C₄	—	2	1	no	—
881	C₂×C₄⋊C₄	—	2	1	no	—
882	C₂×C₄⋊C₄	—	2	1	no	—
883	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
884	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
886	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
887	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
888	#107	C₂³×C₁₃	1	1	yes	characteristic
889	#107	C₂³×C₁₃	1	1	yes	characteristic
890	#107	C₂³×C₁₃	1	2	yes	—
891	#107	C₂³×C₁₃	1	2	yes	—
892	#106	C₂³×C₁₃	1	1	yes	characteristic
893	#106	C₂³×C₁₃	1	1	yes	characteristic
894	#106	C₂³×C₁₃	1	2	yes	—
895	#106	C₂³×C₁₃	1	2	yes	—
896	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
897	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
898	#103	C₂³×C₁₃	1	2	yes	—
899	#103	C₂³×C₁₃	1	2	yes	—
900	#103	C₂³×C₁₃	1	2	yes	—
901	#103	C₂³×C₁₃	1	2	yes	—
902	#103	C₂³×C₁₃	1	2	yes	—
903	#103	C₂³×C₁₃	1	2	yes	—
904	#103	C₂³×C₁₃	1	2	yes	—
905	#103	C₂³×C₁₃	1	2	yes	—
906	#103	C₂³×C₁₃	1	1	yes	characteristic
907	#103	C₂³×C₁₃	1	2	yes	—
908	#103	C₂³×C₁₃	1	2	yes	—
909	#103	C₂³×C₁₃	1	1	yes	characteristic
910	#103	C₂³×C₁₃	1	1	yes	characteristic
911	#103	C₂³×C₁₃	1	1	yes	characteristic
912	#103	C₂³×C₁₃	1	2	yes	—
913	#103	C₂³×C₁₃	1	2	yes	—
914	#103	C₂³×C₁₃	1	2	yes	—
915	#103	C₂³×C₁₃	1	2	yes	—
916	#102	C₂³×C₁₃	1	1	yes	characteristic
917	#102	C₂³×C₁₃	1	1	yes	characteristic
918	#102	C₂³×C₁₃	1	1	yes	characteristic
919	#102	C₂³×C₁₃	1	1	yes	characteristic
920	#102	C₂³×C₁₃	1	2	yes	—
921	#102	C₂³×C₁₃	1	2	yes	—
922	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
923	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
924	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
925	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
926	#97	C₂³×C₁₃	1	2	yes	—
927	C₄×C₈	C₂³×C₁₃	1	2	yes	—
928	C₂×C₁₃	—	2	2	no	—
929	C₂×C₁₃	—	2	2	no	—
930	C₂×C₁₃	—	2	2	no	—
931	C₂×C₁₃	—	4	2	no	—
932	C₂×C₁₃	—	8	1	no	—
933	C₂×C₁₃	—	8	1	no	—
934	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
935	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
936	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
937	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
938	#41	—	2	2	no	—
939	#41	—	2	2	no	—
940	#41	—	2	4	no	—
941	#41	—	2	2	no	—
942	#41	—	2	2	no	—
943	#41	—	2	2	no	—
944	#41	—	2	2	no	—
945	#41	—	4	2	no	—
946	#41	—	4	8	no	—
947	#41	—	4	4	no	—
948	#41	—	8	4	no	—
949	C₂×Q₈	—	2	1	no	—
950	C₂×Q₈	—	2	2	no	—
951	C₂×Q₈	—	2	2	no	—
952	C₂×Q₈	—	2	1	no	—
953	C₂×Q₈	—	2	2	no	—
954	C₂×Q₈	—	2	2	no	—
955	C₂×Q₈	—	2	2	no	—
956	C₂×Q₈	—	2	4	no	—
957	C₂×Q₈	—	2	4	no	—
958	C₂×Q₈	—	2	4	no	—
959	C₂×Q₈	—	2	2	no	—
960	C₂×Q₈	—	2	2	no	—
961	C₂×Q₈	—	4	4	no	—
962	C₂×Q₈	—	4	2	no	—
963	C₂×Q₈	—	4	2	no	—
964	C₂×Q₈	—	4	2	no	—
965	C₂×Q₈	—	4	4	no	—
966	C₂×Q₈	—	4	4	no	—
967	C₂×Q₈	—	4	4	no	—
968	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₂×Q₈	C₁₃×#41	1	4	yes	complemented
970	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
971	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
974	C₂×D₄	—	2	1	no	—
975	C₂×D₄	—	2	1	no	—
976	C₂×D₄	—	2	1	no	—
977	C₂×D₄	—	2	1	no	—
978	C₂×D₄	—	2	1	no	—
979	C₂×D₄	—	2	1	no	—
980	C₂×D₄	—	2	2	no	—
981	C₂×D₄	—	2	2	no	—
982	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
983	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
984	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
986	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₂²×C₄	—	2	1	no	—
989	C₂²×C₄	—	2	2	no	—
990	C₂²×C₄	—	2	2	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	2	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	2	1	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	2	2	no	—
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	1	no	—
1001	C₂²×C₄	—	2	2	no	—
1002	C₂²×C₄	—	2	1	no	—
1003	C₂²×C₄	—	2	2	no	—
1004	C₂²×C₄	—	4	4	no	—
1005	C₂²×C₄	—	8	2	no	—
1006	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1007	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1012	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1013	Q₁₆	—	2	4	no	—
1014	Q₁₆	—	4	1	no	—
1015	Q₁₆	—	4	2	no	—
1016	SD₁₆	—	2	4	no	—
1017	SD₁₆	—	4	1	no	—
1018	SD₁₆	—	4	1	no	—
1019	SD₁₆	—	4	2	no	—
1020	D₈	—	4	1	no	—
1021	M₁₆	—	2	2	no	—
1022	M₁₆	—	2	2	no	—
1023	M₁₆	—	4	2	no	—
1024	C₂×C₈	—	2	2	no	—
1025	C₂×C₈	—	2	2	no	—
1026	C₂×C₈	—	4	1	no	—
1027	C₂×C₈	—	4	1	no	—
1028	C₂×C₈	—	4	1	no	—
1029	C₂×C₈	—	4	1	no	—
1030	C₂×C₈	—	4	2	no	—
1031	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1032	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1033	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1035	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1036	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	2	2	no	—
1041	C₄⋊C₄	—	2	2	no	—
1042	C₄⋊C₄	—	2	2	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	2	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1060	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1061	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1062	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1063	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1064	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1067	C₂²⋊C₄	—	2	1	no	—
1068	C₂²⋊C₄	—	2	1	no	—
1069	C₂²⋊C₄	—	2	1	no	—
1070	C₂²⋊C₄	—	2	2	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	2	1	no	—
1073	C₂²⋊C₄	—	2	1	no	—
1074	C₂²⋊C₄	—	2	2	no	—
1075	C₂²⋊C₄	—	2	2	no	—
1076	C₂²⋊C₄	—	2	2	no	—
1077	C₂²⋊C₄	—	2	2	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	2	no	—
1080	C₂²⋊C₄	—	2	2	no	—
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	1	no	—
1083	C₂²⋊C₄	—	2	1	no	—
1084	C₂²⋊C₄	—	2	1	no	—
1085	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1086	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1087	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1088	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1089	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1090	C₄²	—	2	2	no	—
1091	C₄²	—	2	2	no	—
1092	C₄²	—	2	2	no	—
1093	C₄²	—	2	2	no	—
1094	C₄²	—	2	1	no	—
1095	C₄²	—	2	1	no	—
1096	C₄²	C₂⁴×C₁₃	1	2	yes	—
1097	C₁₃	#61168	1	1	yes	characteristic, direct product factor, Sylow
1098	C₂³	—	2	2	no	—
1099	C₂³	—	2	2	no	—
1100	C₂³	—	2	2	no	—
1101	C₂³	—	2	1	no	—
1102	C₂³	—	2	1	no	—
1103	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1104	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1105	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1106	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1107	Q₈	—	2	4	no	—
1108	Q₈	—	2	2	no	—
1109	Q₈	—	2	2	no	—
1110	Q₈	—	2	1	no	—
1111	Q₈	—	2	2	no	—
1112	Q₈	—	2	1	no	—
1113	Q₈	—	2	1	no	—
1114	Q₈	—	2	2	no	—
1115	Q₈	—	2	1	no	—
1116	Q₈	—	4	4	no	—
1117	Q₈	—	4	4	no	—
1118	Q₈	—	4	4	no	—
1119	Q₈	—	4	2	no	—
1120	Q₈	—	8	2	no	—
1121	Q₈	C₂×C₁₃×#41	1	4	yes	—
1122	D₄	—	2	4	no	—
1123	D₄	—	2	4	no	—
1124	D₄	—	2	4	no	—
1125	D₄	—	2	2	no	—
1126	D₄	—	2	1	no	—
1127	D₄	—	2	1	no	—
1128	D₄	—	2	1	no	—
1129	D₄	—	2	1	no	—
1130	D₄	—	4	4	no	—
1131	D₄	—	4	2	no	—
1132	D₄	—	4	2	no	—
1133	D₄	—	4	2	no	—
1134	D₄	—	4	2	no	—
1135	D₄	—	4	2	no	—
1136	D₄	—	4	2	no	—
1137	D₄	—	8	2	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	4	no	—
1140	C₂×C₄	—	2	2	no	—
1141	C₂×C₄	—	2	2	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	2	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	2	no	—
1156	C₂×C₄	—	2	2	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	4	4	no	—
1159	C₂×C₄	—	4	4	no	—
1160	C₂×C₄	—	4	4	no	—
1161	C₂×C₄	—	4	4	no	—
1162	C₂×C₄	—	4	2	no	—
1163	C₂×C₄	—	4	4	no	—
1164	C₂×C₄	—	4	2	no	—
1165	C₂×C₄	—	4	2	no	—
1166	C₂×C₄	—	8	2	no	—
1167	C₂×C₄	—	8	1	no	—
1168	C₂×C₄	—	8	2	no	—
1169	C₂×C₄	—	8	1	no	—
1170	C₂×C₄	—	8	2	no	—
1171	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1172	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1173	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1174	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1175	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1176	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1177	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1178	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1179	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1180	C₈	—	2	2	no	—
1181	C₈	—	2	1	no	—
1182	C₈	—	2	1	no	—
1183	C₈	—	2	1	no	—
1184	C₈	—	2	1	no	—
1185	C₈	—	2	2	no	—
1186	C₂²	—	2	8	no	—
1187	C₂²	—	2	1	no	—
1188	C₂²	—	2	1	no	—
1189	C₂²	—	2	1	no	—
1190	C₂²	—	2	1	no	—
1191	C₂²	—	2	1	no	—
1192	C₂²	—	2	1	no	—
1193	C₂²	—	2	2	no	—
1194	C₂²	—	2	2	no	—
1195	C₂²	—	2	2	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	1	no	—
1198	C₂²	—	4	1	no	—
1199	C₂²	—	4	1	no	—
1200	C₂²	—	4	1	no	—
1201	C₂²	—	4	1	no	—
1202	C₂²	C₁₃×#546	1	2	yes	—
1203	C₂²	C₁₃×#577	1	2	yes	—
1204	C₂²	C₁₃×#578	1	2	yes	—
1205	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1206	C₄	—	2	2	no	—
1207	C₄	—	2	2	no	—
1208	C₄	—	2	1	no	—
1209	C₄	—	2	1	no	—
1210	C₄	—	2	4	no	—
1211	C₄	—	2	2	no	—
1212	C₄	—	4	2	no	—
1213	C₄	—	4	2	no	—
1214	C₄	—	4	1	no	—
1215	C₄	—	4	1	no	—
1216	C₄	—	4	1	no	—
1217	C₄	—	4	1	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	2	no	—
1220	C₄	—	4	1	no	—
1221	C₄	C₁₃×#546	1	2	yes	—
1222	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1223	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1224	C₂	—	2	2	no	—
1225	C₂	—	2	2	no	—
1226	C₂	—	2	2	no	—
1227	C₂	—	4	2	no	—
1228	C₂	—	8	1	no	—
1229	C₂	—	8	1	no	—
1230	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1231	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1232	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3492	C₂	semidirect
2. C₁₃×#3486	C₂	semidirect
3. C₁₃×#3320	C₂	semidirect
4. C₁₃×#3316	C₂	semidirect
5. C₁₃×#3312	C₂	semidirect
6. C₁₃×#3308	C₂	semidirect
7. C₁₃×#3301	C₂	semidirect
8. C₁₃×#3300	C₂	semidirect
9. C₁₃×#3299	C₂	semidirect
10. C₁₃×#3298	C₂	semidirect
11. C₁₃×#3137	C₂	semidirect
12. C₁₃×#3097	C₂	semidirect
13. C₁₃×#3092	C₂	semidirect
14. C₁₃×#3082	C₂	semidirect
15. C₁₃×#3063	C₂	semidirect
16. C₁₃×#3050	C₂	semidirect
17. C₁₃×#3046	C₂	semidirect
18. C₁₃×#3013	C₂	semidirect
19. C₁₃×#3004	C₂	semidirect
20. C₁₃×#2947	C₂	semidirect
21. C₁₃×#2929	C₂	semidirect
22. C₁₃×#2898	C₂	semidirect
23. C₂²×C₁₃×#103	C₂	semidirect
62. C₁₃×#491	C₂²	semidirect
63. C₁₃×#489	C₂²	semidirect
64. C₁₃×#488	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
69. C₁₃×#484	C₂²	semidirect
71. C₁₃×#483	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
75. C₁₃×#479	C₂²	semidirect
76. C₁₃×#477	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#470	C₂²	semidirect
79. C₁₃×#468	C₂²	semidirect
82. C₁₃×#467	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#462	C₂²	semidirect
93. C₁₃×#461	C₂²	semidirect
94. C₁₃×#452	C₂²	semidirect
97. C₁₃×#451	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
101. C₁₃×#448	C₂²	semidirect
102. C₁₃×#441	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₄×C₁₃×Q₁₆	C₂²	semidirect
105. C₄×C₁₃×SD₁₆	C₂²	semidirect
116. C₁₃×#419	C₂²	semidirect
119. C₁₃×#417	C₂²	semidirect
122. C₁₃×#416	C₂²	semidirect
131. C₂×C₁₃×#103	C₂²	semidirect
321. #61168	C₁₃	direct (N × H)
354. C₂×Q₈×C₁₃	#41	semidirect
482. #3492	C₂×C₁₃	semidirect
483. #3486	C₂×C₁₃	semidirect
484. #3320	C₂×C₁₃	semidirect
485. #3316	C₂×C₁₃	semidirect
486. #3312	C₂×C₁₃	semidirect
487. #3308	C₂×C₁₃	semidirect
488. #3301	C₂×C₁₃	semidirect
489. #3300	C₂×C₁₃	semidirect
490. #3299	C₂×C₁₃	semidirect
491. #3298	C₂×C₁₃	semidirect
492. #3137	C₂×C₁₃	semidirect
493. #3097	C₂×C₁₃	semidirect
494. #3092	C₂×C₁₃	semidirect
495. #3082	C₂×C₁₃	semidirect
496. #3063	C₂×C₁₃	semidirect
497. #3050	C₂×C₁₃	semidirect
498. #3046	C₂×C₁₃	semidirect
499. #3013	C₂×C₁₃	semidirect
500. #3004	C₂×C₁₃	semidirect
501. #2947	C₂×C₁₃	semidirect
502. #2929	C₂×C₁₃	semidirect
503. #2898	C₂×C₁₃	semidirect
504. C₂²×#103	C₂×C₁₃	semidirect
631. #491	C₂²×C₁₃	semidirect
632. #489	C₂²×C₁₃	semidirect
633. #488	C₂²×C₁₃	semidirect
634. #487	C₂²×C₁₃	semidirect
635. #485	C₂²×C₁₃	semidirect
636. #485	C₂²×C₁₃	semidirect
638. #484	C₂²×C₁₃	semidirect
640. #483	C₂²×C₁₃	semidirect
643. #479	C₂²×C₁₃	semidirect
644. #479	C₂²×C₁₃	semidirect
645. #477	C₂²×C₁₃	semidirect
646. #475	C₂²×C₁₃	semidirect
647. #470	C₂²×C₁₃	semidirect
648. #468	C₂²×C₁₃	semidirect
651. #467	C₂²×C₁₃	semidirect
658. #465	C₂²×C₁₃	semidirect
659. #464	C₂²×C₁₃	semidirect
660. #463	C₂²×C₁₃	semidirect
661. #462	C₂²×C₁₃	semidirect
662. #461	C₂²×C₁₃	semidirect
663. #452	C₂²×C₁₃	semidirect
666. #451	C₂²×C₁₃	semidirect
667. #449	C₂²×C₁₃	semidirect
670. #448	C₂²×C₁₃	semidirect
671. #441	C₂²×C₁₃	semidirect
672. #440	C₂²×C₁₃	semidirect
673. C₄×Q₁₆	C₂²×C₁₃	semidirect
674. C₄×SD₁₆	C₂²×C₁₃	semidirect
685. #419	C₂²×C₁₃	semidirect
688. #417	C₂²×C₁₃	semidirect
691. #416	C₂²×C₁₃	semidirect
700. C₂×#103	C₂²×C₁₃	semidirect
969. C₂×Q₈	C₁₃×#41	semidirect
1097. C₁₃	#61168	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×#3492	2
C₁₃×#3486	2
C₁₃×#3320	2
C₁₃×#3316	2
C₁₃×#3312	2
C₁₃×#3308	2
C₁₃×#3301	2
C₁₃×#3300	2
C₁₃×#3299	2
C₁₃×#3298	2
C₁₃×#3137	2
C₁₃×#3097	2
C₁₃×#3092	2
C₁₃×#3082	2
C₁₃×#3063	2
C₁₃×#3050	2
C₁₃×#3046	2
C₁₃×#3013	2
C₁₃×#3004	2
C₁₃×#2947	2
C₁₃×#2929	2
C₁₃×#2898	2
C₂²×C₁₃×#103	2
#61168	13

Subgroups — C13×#61168 #15747507

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61168 #15747507