Subgroups — C₁₃×#61981 #15748320

Order 3328.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3401	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3282	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3246	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3113	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3103	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#460	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
25	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
27	C₁₃×#559	—	2	1	no	—
28	C₁₃×#559	C₂²	1	2	yes	—
29	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#556	—	2	1	no	—
31	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#552	—	2	1	no	—
33	C₁₃×#552	—	2	1	no	—
34	C₁₃×#552	C₂²	1	1	yes	characteristic
35	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#550	—	2	1	no	—
37	C₁₃×#550	C₂²	1	2	yes	—
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
39	C₁₃×#548	C₂²	1	1	yes	characteristic
40	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#547	—	2	1	no	—
42	C₁₃×#547	C₂²	1	1	yes	characteristic
43	C₁₃×#546	—	2	1	no	—
44	C₁₃×#546	—	2	1	no	—
45	C₁₃×#546	C₂²	1	2	yes	—
46	C₁₃×#546	C₂²	1	2	yes	—
47	C₁₃×#540	—	2	1	no	—
48	C₁₃×#540	—	2	1	no	—
49	C₁₃×#535	—	2	1	no	—
50	C₁₃×#533	—	2	1	no	—
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#532	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
58	C₁₃×#529	—	2	1	no	—
59	C₁₃×#529	—	2	1	no	—
60	C₁₃×#529	C₂²	1	1	yes	characteristic
61	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#518	—	2	1	no	—
63	C₄×C₁₃×#41	—	2	1	no	—
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#497	C₂²	1	2	yes	complemented
69	C₁₃×#496	C₂²	1	2	yes	—
70	C₁₃×#495	C₂²	1	2	yes	complemented
71	C₁₃×#490	C₂²	1	2	yes	—
72	C₁₃×#489	C₂²	1	2	yes	complemented
73	C₁₃×#488	C₂²	1	2	yes	complemented
74	C₁₃×#483	C₂²	1	2	yes	—
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#481	C₂²	1	2	yes	complemented
77	C₁₃×#479	C₂²	1	2	yes	complemented
78	C₁₃×#478	C₂²	1	2	yes	complemented
79	C₁₃×#476	C₂²	1	2	yes	complemented
80	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#469	C₂²	1	2	yes	complemented
85	C₁₃×#468	C₂²	1	2	yes	complemented
86	C₁₃×#467	C₂²	1	2	yes	—
87	C₁₃×#465	C₂²	1	2	yes	—
88	C₁₃×#465	C₂²	1	2	yes	complemented
89	C₁₃×#465	C₂²	1	2	yes	complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#464	C₂²	1	2	yes	complemented
92	C₁₃×#464	C₂²	1	2	yes	complemented
93	C₁₃×#464	C₂²	1	2	yes	complemented
94	C₁₃×#463	C₂²	1	2	yes	complemented
95	C₁₃×#463	C₂²	1	2	yes	complemented
96	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#461	C₂²	1	2	yes	complemented
100	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#460	C₂²	1	2	yes	—
102	C₁₃×#460	C₂²	1	1	yes	characteristic
103	C₁₃×#460	C₂²	1	1	yes	characteristic
104	C₁₃×#460	C₂²	1	2	yes	—
105	C₁₃×#460	C₂²	1	1	yes	characteristic
106	C₁₃×#460	C₂²	1	1	yes	characteristic
107	C₁₃×#460	C₂²	1	1	yes	characteristic
108	C₁₃×#460	C₂²	1	1	yes	characteristic
109	C₁₃×#459	C₂²	1	1	yes	characteristic
110	C₁₃×#459	C₂²	1	1	yes	characteristic
111	C₁₃×#452	C₂²	1	2	yes	complemented
112	C₁₃×#452	C₂²	1	2	yes	complemented
113	C₁₃×#452	C₂²	1	2	yes	complemented
114	C₁₃×#451	C₂²	1	2	yes	—
115	C₁₃×#450	C₂²	1	2	yes	—
116	C₁₃×#449	C₂²	1	2	yes	complemented
117	C₁₃×#449	C₂²	1	2	yes	complemented
118	C₁₃×#448	C₂²	1	2	yes	complemented
119	C₁₃×#447	C₂²	1	2	yes	—
120	C₁₃×#446	C₂²	1	2	yes	complemented
121	C₁₃×#442	C₂²	1	2	yes	complemented
122	C₁₃×#441	C₂²	1	2	yes	complemented
123	C₁₃×#441	C₂²	1	2	yes	complemented
124	C₁₃×#440	C₂²	1	2	yes	complemented
125	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
126	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
127	C₁₃×#435	C₂²	1	2	yes	—
128	C₁₃×#435	C₂²	1	2	yes	complemented
129	C₈×D₄×C₁₃	C₂²	1	2	yes	—
130	C₁₃×#432	C₂²	1	1	yes	characteristic
131	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#417	C₂²	1	2	yes	complemented
137	C₁₃×#416	C₂²	1	2	yes	complemented
138	C₂×C₁₃×#102	C₂²	1	2	yes	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂×C₁₃×#41	C₂³	1	2	yes	—
146	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	—	2	1	no	—
149	C₂²×D₄×C₁₃	—	2	1	no	—
150	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
151	C₁₃×#137	—	4	4	no	—
152	C₁₃×#135	—	4	4	no	—
153	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	—	4	4	no	—
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×SD₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
164	C₂×C₁₃×D₈	C₂³	1	2	yes	—
165	C₂×C₁₃×D₈	C₂³	1	2	yes	—
166	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
167	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
168	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
169	C₁₃×C₄⋊Q₈	—	2	1	no	—
170	C₁₃×C₄⋊Q₈	—	2	1	no	—
171	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
173	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
174	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
175	C₁₃×#127	—	2	2	no	—
176	C₁₃×#127	—	2	1	no	—
177	C₁₃×#127	—	2	1	no	—
178	C₁₃×#127	C₂³	1	1	yes	characteristic
179	C₁₃×#127	C₂³	1	1	yes	characteristic
180	C₁₃×#127	C₂³	1	2	yes	—
181	C₁₃×#126	—	2	1	no	—
182	C₁₃×#126	—	2	1	no	—
183	C₁₃×#126	—	2	1	no	—
184	C₁₃×#126	—	2	1	no	—
185	C₁₃×#126	—	2	1	no	—
186	C₁₃×#126	—	2	1	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	—	2	1	no	—
189	C₁₃×#125	—	2	1	no	—
190	C₁₃×#125	—	2	1	no	—
191	C₁₃×#125	—	2	1	no	—
192	C₁₃×#125	—	2	1	no	—
193	C₁₃×#125	C₂³	1	1	yes	characteristic
194	C₁₃×#125	C₂³	1	1	yes	characteristic
195	C₁₃×#124	—	2	2	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	—	2	1	no	—
200	C₁₃×#124	C₂³	1	1	yes	characteristic
201	C₁₃×#124	C₂³	1	2	yes	—
202	C₁₃×#124	C₂³	1	2	yes	—
203	C₁₃×#124	C₂³	1	1	yes	characteristic
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×#123	—	2	2	no	—
211	C₁₃×#123	—	2	2	no	—
212	C₁₃×#123	—	2	1	no	—
213	C₁₃×#123	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	1	no	—
218	C₁₃×C₂²⋊Q₈	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	—	2	1	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
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	1	yes	characteristic
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	—	2	2	no	—
237	C₁₃×#121	—	2	2	no	—
238	C₁₃×#121	—	2	2	no	—
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#120	—	2	2	no	—
244	C₁₃×#120	—	2	2	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	—	2	1	no	—
248	C₄×Q₈×C₁₃	—	2	1	no	—
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	—	2	1	no	—
251	C₄×Q₈×C₁₃	—	2	1	no	—
252	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
259	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
262	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	2	no	—
269	C₄×D₄×C₁₃	—	2	2	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	—	2	1	no	—
277	C₄×D₄×C₁₃	—	2	1	no	—
278	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
279	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
280	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	2	yes	—
282	C₄×D₄×C₁₃	C₂³	1	2	yes	—
283	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
286	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	—	2	1	no	—
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	—	2	1	no	—
294	C₁₃×#117	—	2	1	no	—
295	C₁₃×#117	—	2	1	no	—
296	C₁₃×#117	D₄	1	1	yes	characteristic
297	C₁₃×#117	D₄	1	1	yes	characteristic
298	C₁₃×#117	D₄	1	1	yes	characteristic
299	C₁₃×#117	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
301	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
302	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
305	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
306	C₂×C₄²×C₁₃	—	2	1	no	—
307	C₂×C₄²×C₁₃	—	2	1	no	—
308	C₂×C₄²×C₁₃	—	2	1	no	—
309	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
312	C₁₃×#107	C₂³	1	2	yes	—
313	C₁₃×#106	C₂³	1	2	yes	—
314	C₁₃×#106	C₂³	1	2	yes	—
315	C₁₃×#106	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×#102	C₂³	1	2	yes	—
333	C₁₃×#102	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×#102	C₂³	1	2	yes	—
339	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₃×#97	C₂³	1	2	yes	—
343	C₁₃×#97	C₂³	1	2	yes	—
344	C₄×C₈×C₁₃	C₂³	1	2	yes	—
345	#61981	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
346	C₂⁴×C₁₃	—	2	2	no	—
347	C₁₃×#41	—	2	2	no	—
348	C₁₃×#41	—	4	2	no	—
349	C₁₃×#41	—	4	1	no	—
350	C₁₃×#41	—	4	2	no	—
351	C₁₃×#41	—	4	2	no	—
352	C₁₃×#41	—	4	2	no	—
353	C₁₃×#41	—	4	2	no	—
354	C₁₃×#41	—	4	4	no	—
355	C₁₃×#41	—	8	2	no	—
356	C₁₃×#41	—	8	2	no	—
357	C₂×Q₈×C₁₃	—	2	1	no	—
358	C₂×Q₈×C₁₃	—	2	1	no	—
359	C₂×Q₈×C₁₃	—	2	1	no	—
360	C₂×Q₈×C₁₃	—	2	1	no	—
361	C₂×Q₈×C₁₃	—	2	2	no	—
362	C₂×Q₈×C₁₃	—	2	2	no	—
363	C₂×Q₈×C₁₃	—	4	1	no	—
364	C₂×Q₈×C₁₃	—	4	1	no	—
365	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
367	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	2	2	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	2	2	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	2	1	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	1	no	—
381	C₂×D₄×C₁₃	—	2	1	no	—
382	C₂×D₄×C₁₃	—	2	2	no	—
383	C₂×D₄×C₁₃	—	2	2	no	—
384	C₂×D₄×C₁₃	—	4	2	no	—
385	C₂×D₄×C₁₃	—	4	2	no	—
386	C₂×D₄×C₁₃	—	4	4	no	—
387	C₂×D₄×C₁₃	—	8	2	no	—
388	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
392	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
393	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	—	2	1	no	—
395	C₂²×C₄×C₁₃	—	2	1	no	—
396	C₂²×C₄×C₁₃	—	2	1	no	—
397	C₂²×C₄×C₁₃	—	2	1	no	—
398	C₂²×C₄×C₁₃	—	2	1	no	—
399	C₂²×C₄×C₁₃	—	2	1	no	—
400	C₂²×C₄×C₁₃	—	2	1	no	—
401	C₂²×C₄×C₁₃	—	2	2	no	—
402	C₂²×C₄×C₁₃	—	2	2	no	—
403	C₂²×C₄×C₁₃	—	2	2	no	—
404	C₂²×C₄×C₁₃	—	2	2	no	—
405	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₁₃×Q₁₆	—	2	4	no	—
415	C₁₃×Q₁₆	—	4	2	no	—
416	C₁₃×Q₁₆	—	4	2	no	—
417	C₁₃×SD₁₆	—	2	4	no	—
418	C₁₃×SD₁₆	—	2	4	no	—
419	C₁₃×SD₁₆	—	4	2	no	—
420	C₁₃×SD₁₆	—	4	2	no	—
421	C₁₃×SD₁₆	—	4	2	no	—
422	C₁₃×SD₁₆	—	4	2	no	—
423	C₁₃×SD₁₆	—	4	2	no	—
424	C₁₃×D₈	—	4	2	no	—
425	C₁₃×D₈	—	4	2	no	—
426	C₁₃×M₁₆	—	4	2	no	—
427	C₂×C₈×C₁₃	—	4	2	no	—
428	C₂×C₈×C₁₃	—	4	2	no	—
429	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
430	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
431	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
432	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	—	2	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	1	no	—
439	C₁₃×C₄⋊C₄	—	2	1	no	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	1	no	—
445	C₁₃×C₄⋊C₄	—	2	1	no	—
446	C₁₃×C₄⋊C₄	—	2	1	no	—
447	C₁₃×C₄⋊C₄	—	2	1	no	—
448	C₁₃×C₄⋊C₄	—	2	1	no	—
449	C₁₃×C₄⋊C₄	—	2	1	no	—
450	C₁₃×C₄⋊C₄	—	2	1	no	—
451	C₁₃×C₄⋊C₄	—	2	1	no	—
452	C₁₃×C₄⋊C₄	—	2	1	no	—
453	C₁₃×C₄⋊C₄	—	2	1	no	—
454	C₁₃×C₄⋊C₄	—	2	1	no	—
455	C₁₃×C₄⋊C₄	—	2	1	no	—
456	C₁₃×C₄⋊C₄	—	2	1	no	—
457	C₁₃×C₄⋊C₄	—	2	2	no	—
458	C₁₃×C₄⋊C₄	—	2	2	no	—
459	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
461	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
462	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
463	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
464	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
465	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
466	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
467	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
468	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
469	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	—	2	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	1	no	—
484	C₁₃×C₂²⋊C₄	—	2	1	no	—
485	C₁₃×C₂²⋊C₄	—	2	1	no	—
486	C₁₃×C₂²⋊C₄	—	2	1	no	—
487	C₁₃×C₂²⋊C₄	—	2	1	no	—
488	C₁₃×C₂²⋊C₄	—	2	2	no	—
489	C₁₃×C₂²⋊C₄	—	2	2	no	—
490	C₁₃×C₂²⋊C₄	—	2	2	no	—
491	C₁₃×C₂²⋊C₄	—	2	2	no	—
492	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
493	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
494	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
495	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
496	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
497	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₁₃	—	2	1	no	—
499	C₄²×C₁₃	—	2	1	no	—
500	C₄²×C₁₃	—	2	1	no	—
501	C₄²×C₁₃	—	2	1	no	—
502	C₄²×C₁₃	—	2	1	no	—
503	C₄²×C₁₃	—	2	1	no	—
504	C₄²×C₁₃	—	2	1	no	—
505	C₄²×C₁₃	—	2	1	no	—
506	C₄²×C₁₃	—	2	1	no	—
507	C₄²×C₁₃	—	2	2	no	—
508	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
512	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
513	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
514	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
515	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
518	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3482	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3401	C₂×C₁₃	1	2	yes	complemented
521	#3371	C₂×C₁₃	1	2	yes	complemented
522	#3317	C₂×C₁₃	1	2	yes	complemented
523	#3306	C₂×C₁₃	1	2	yes	complemented
524	#3296	C₂×C₁₃	1	2	yes	complemented
525	#3282	C₂×C₁₃	1	2	yes	complemented
526	#3271	C₂×C₁₃	1	2	yes	complemented
527	#3266	C₂×C₁₃	1	2	yes	complemented
528	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#3246	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
532	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
534	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
535	#3113	C₂×C₁₃	1	1	yes	characteristic, complemented
536	#3103	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
538	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
539	C₂×#460	C₂×C₁₃	1	1	yes	characteristic, complemented
540	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
541	C₂³×C₁₃	—	2	1	no	—
542	C₂³×C₁₃	—	2	2	no	—
543	C₂³×C₁₃	—	2	2	no	—
544	C₂³×C₁₃	—	4	4	no	—
545	C₂³×C₁₃	—	8	2	no	—
546	C₂³×C₁₃	—	8	2	no	—
547	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	Q₈×C₁₃	—	2	1	no	—
551	Q₈×C₁₃	—	2	1	no	—
552	Q₈×C₁₃	—	2	1	no	—
553	Q₈×C₁₃	—	2	2	no	—
554	Q₈×C₁₃	—	2	1	no	—
555	Q₈×C₁₃	—	2	1	no	—
556	Q₈×C₁₃	—	2	2	no	—
557	Q₈×C₁₃	—	4	1	no	—
558	Q₈×C₁₃	—	4	2	no	—
559	Q₈×C₁₃	—	4	2	no	—
560	Q₈×C₁₃	—	4	2	no	—
561	Q₈×C₁₃	—	4	2	no	—
562	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
563	D₄×C₁₃	—	2	2	no	—
564	D₄×C₁₃	—	2	2	no	—
565	D₄×C₁₃	—	2	1	no	—
566	D₄×C₁₃	—	2	2	no	—
567	D₄×C₁₃	—	2	2	no	—
568	D₄×C₁₃	—	2	1	no	—
569	D₄×C₁₃	—	2	2	no	—
570	D₄×C₁₃	—	2	2	no	—
571	D₄×C₁₃	—	4	1	no	—
572	D₄×C₁₃	—	4	2	no	—
573	D₄×C₁₃	—	4	2	no	—
574	D₄×C₁₃	—	4	2	no	—
575	D₄×C₁₃	—	4	4	no	—
576	D₄×C₁₃	—	4	2	no	—
577	D₄×C₁₃	—	4	2	no	—
578	D₄×C₁₃	—	4	2	no	—
579	D₄×C₁₃	—	4	2	no	—
580	D₄×C₁₃	—	8	2	no	—
581	D₄×C₁₃	—	8	2	no	—
582	D₄×C₁₃	—	8	2	no	—
583	D₄×C₁₃	—	8	2	no	—
584	D₄×C₁₃	—	8	2	no	—
585	D₄×C₁₃	—	8	2	no	—
586	C₂×C₄×C₁₃	—	2	2	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	1	no	—
593	C₂×C₄×C₁₃	—	2	1	no	—
594	C₂×C₄×C₁₃	—	2	1	no	—
595	C₂×C₄×C₁₃	—	2	1	no	—
596	C₂×C₄×C₁₃	—	2	1	no	—
597	C₂×C₄×C₁₃	—	2	1	no	—
598	C₂×C₄×C₁₃	—	2	1	no	—
599	C₂×C₄×C₁₃	—	2	1	no	—
600	C₂×C₄×C₁₃	—	2	1	no	—
601	C₂×C₄×C₁₃	—	2	1	no	—
602	C₂×C₄×C₁₃	—	2	1	no	—
603	C₂×C₄×C₁₃	—	2	2	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	4	1	no	—
606	C₂×C₄×C₁₃	—	4	1	no	—
607	C₂×C₄×C₁₃	—	4	2	no	—
608	C₂×C₄×C₁₃	—	4	2	no	—
609	C₂×C₄×C₁₃	—	4	2	no	—
610	C₂×C₄×C₁₃	—	4	2	no	—
611	C₂×C₄×C₁₃	—	4	2	no	—
612	C₂×C₄×C₁₃	—	4	2	no	—
613	C₂×C₄×C₁₃	—	4	2	no	—
614	C₂×C₄×C₁₃	—	8	2	no	—
615	C₂×C₄×C₁₃	—	8	2	no	—
616	C₂×C₄×C₁₃	—	8	2	no	—
617	C₂×C₄×C₁₃	—	8	2	no	—
618	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
619	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
620	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
621	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
622	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
623	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
624	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
625	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
626	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
627	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
628	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
629	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
630	C₈×C₁₃	—	2	2	no	—
631	C₈×C₁₃	—	2	2	no	—
632	C₈×C₁₃	—	2	2	no	—
633	C₈×C₁₃	—	2	2	no	—
634	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
635	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
636	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
637	#559	—	2	1	no	—
638	#559	C₂²×C₁₃	1	2	yes	—
639	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#556	—	2	1	no	—
641	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#552	—	2	1	no	—
643	#552	—	2	1	no	—
644	#552	C₂²×C₁₃	1	1	yes	characteristic
645	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#550	—	2	1	no	—
647	#550	C₂²×C₁₃	1	2	yes	—
648	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
649	#548	C₂²×C₁₃	1	1	yes	characteristic
650	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#547	—	2	1	no	—
652	#547	C₂²×C₁₃	1	1	yes	characteristic
653	#546	—	2	1	no	—
654	#546	—	2	1	no	—
655	#546	C₂²×C₁₃	1	2	yes	—
656	#546	C₂²×C₁₃	1	2	yes	—
657	#540	—	2	1	no	—
658	#540	—	2	1	no	—
659	#535	—	2	1	no	—
660	#533	—	2	1	no	—
661	#533	C₂²×C₁₃	1	1	yes	characteristic
662	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	#532	C₂²×C₁₃	1	1	yes	characteristic
664	#532	C₂²×C₁₃	1	1	yes	characteristic
665	#532	C₂²×C₁₃	1	1	yes	characteristic
666	#532	C₂²×C₁₃	1	1	yes	characteristic
667	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
668	#529	—	2	1	no	—
669	#529	—	2	1	no	—
670	#529	C₂²×C₁₃	1	1	yes	characteristic
671	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
672	#518	—	2	1	no	—
673	C₄×#41	—	2	1	no	—
674	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
675	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
677	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#497	C₂²×C₁₃	1	2	yes	complemented
679	#496	C₂²×C₁₃	1	2	yes	—
680	#495	C₂²×C₁₃	1	2	yes	complemented
681	#490	C₂²×C₁₃	1	2	yes	—
682	#489	C₂²×C₁₃	1	2	yes	complemented
683	#488	C₂²×C₁₃	1	2	yes	complemented
684	#483	C₂²×C₁₃	1	2	yes	—
685	#482	C₂²×C₁₃	1	2	yes	complemented
686	#481	C₂²×C₁₃	1	2	yes	complemented
687	#479	C₂²×C₁₃	1	2	yes	complemented
688	#478	C₂²×C₁₃	1	2	yes	complemented
689	#476	C₂²×C₁₃	1	2	yes	complemented
690	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
692	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	#469	C₂²×C₁₃	1	2	yes	complemented
695	#468	C₂²×C₁₃	1	2	yes	complemented
696	#467	C₂²×C₁₃	1	2	yes	—
697	#465	C₂²×C₁₃	1	2	yes	—
698	#465	C₂²×C₁₃	1	2	yes	complemented
699	#465	C₂²×C₁₃	1	2	yes	complemented
700	#464	C₂²×C₁₃	1	2	yes	complemented
701	#464	C₂²×C₁₃	1	2	yes	complemented
702	#464	C₂²×C₁₃	1	2	yes	complemented
703	#464	C₂²×C₁₃	1	2	yes	complemented
704	#463	C₂²×C₁₃	1	2	yes	complemented
705	#463	C₂²×C₁₃	1	2	yes	complemented
706	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
707	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	#461	C₂²×C₁₃	1	2	yes	complemented
710	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
711	#460	C₂²×C₁₃	1	1	yes	characteristic
712	#460	C₂²×C₁₃	1	1	yes	characteristic
713	#460	C₂²×C₁₃	1	1	yes	characteristic
714	#460	C₂²×C₁₃	1	2	yes	—
715	#460	C₂²×C₁₃	1	2	yes	—
716	#460	C₂²×C₁₃	1	1	yes	characteristic
717	#460	C₂²×C₁₃	1	1	yes	characteristic
718	#460	C₂²×C₁₃	1	1	yes	characteristic
719	#459	C₂²×C₁₃	1	1	yes	characteristic
720	#459	C₂²×C₁₃	1	1	yes	characteristic
721	#452	C₂²×C₁₃	1	2	yes	complemented
722	#452	C₂²×C₁₃	1	2	yes	complemented
723	#452	C₂²×C₁₃	1	2	yes	complemented
724	#451	C₂²×C₁₃	1	2	yes	—
725	#450	C₂²×C₁₃	1	2	yes	—
726	#449	C₂²×C₁₃	1	2	yes	complemented
727	#449	C₂²×C₁₃	1	2	yes	complemented
728	#448	C₂²×C₁₃	1	2	yes	complemented
729	#447	C₂²×C₁₃	1	2	yes	—
730	#446	C₂²×C₁₃	1	2	yes	complemented
731	#442	C₂²×C₁₃	1	2	yes	complemented
732	#441	C₂²×C₁₃	1	2	yes	complemented
733	#441	C₂²×C₁₃	1	2	yes	complemented
734	#440	C₂²×C₁₃	1	2	yes	complemented
735	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
736	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
737	#435	C₂²×C₁₃	1	2	yes	—
738	#435	C₂²×C₁₃	1	2	yes	complemented
739	C₈×D₄	C₂²×C₁₃	1	2	yes	—
740	#432	C₂²×C₁₃	1	1	yes	characteristic
741	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
742	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
743	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
744	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
745	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
746	#417	C₂²×C₁₃	1	2	yes	complemented
747	#416	C₂²×C₁₃	1	2	yes	complemented
748	C₂×#102	C₂²×C₁₃	1	2	yes	—
749	C₂²×C₁₃	—	2	1	no	—
750	C₂²×C₁₃	—	2	1	no	—
751	C₂²×C₁₃	—	2	1	no	—
752	C₂²×C₁₃	—	2	1	no	—
753	C₂²×C₁₃	—	2	1	no	—
754	C₂²×C₁₃	—	2	1	no	—
755	C₂²×C₁₃	—	2	1	no	—
756	C₂²×C₁₃	—	2	1	no	—
757	C₂²×C₁₃	—	4	1	no	—
758	C₂²×C₁₃	—	4	2	no	—
759	C₂²×C₁₃	—	4	2	no	—
760	C₂²×C₁₃	—	4	1	no	—
761	C₂²×C₁₃	—	4	2	no	—
762	C₂²×C₁₃	—	4	2	no	—
763	C₂²×C₁₃	—	4	1	no	—
764	C₂²×C₁₃	—	4	2	no	—
765	C₂²×C₁₃	—	4	2	no	—
766	C₂²×C₁₃	—	16	4	no	—
767	C₂²×C₁₃	#575	1	2	yes	—
768	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
769	C₄×C₁₃	—	2	1	no	—
770	C₄×C₁₃	—	2	1	no	—
771	C₄×C₁₃	—	2	1	no	—
772	C₄×C₁₃	—	2	2	no	—
773	C₄×C₁₃	—	2	1	no	—
774	C₄×C₁₃	—	2	1	no	—
775	C₄×C₁₃	—	2	1	no	—
776	C₄×C₁₃	—	2	1	no	—
777	C₄×C₁₃	—	2	1	no	—
778	C₄×C₁₃	—	2	1	no	—
779	C₄×C₁₃	—	2	1	no	—
780	C₄×C₁₃	—	4	1	no	—
781	C₄×C₁₃	—	4	1	no	—
782	C₄×C₁₃	—	4	2	no	—
783	C₄×C₁₃	—	4	1	no	—
784	C₄×C₁₃	—	4	1	no	—
785	C₄×C₁₃	—	4	1	no	—
786	C₄×C₁₃	—	4	1	no	—
787	C₄×C₁₃	—	4	2	no	—
788	C₄×C₁₃	#577	1	2	yes	—
789	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
790	C₄×C₁₃	#585	1	1	yes	characteristic
791	C₂×#41	—	2	1	no	—
792	C₂×#41	—	2	1	no	—
793	C₂×#41	—	2	1	no	—
794	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
795	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
796	C₂×#41	C₂³×C₁₃	1	2	yes	—
797	C₂×#41	C₂³×C₁₃	1	2	yes	—
798	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₂²×D₄	—	2	1	no	—
801	C₂²×D₄	—	2	1	no	—
802	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
803	#137	—	4	4	no	—
804	#135	—	4	4	no	—
805	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
806	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
807	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
808	C₂×SD₁₆	—	4	4	no	—
809	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
810	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
811	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
812	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
813	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
814	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
815	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
816	C₂×D₈	C₂³×C₁₃	1	2	yes	—
817	C₂×D₈	C₂³×C₁₃	1	2	yes	—
818	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
819	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
820	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
821	C₄⋊Q₈	—	2	1	no	—
822	C₄⋊Q₈	—	2	1	no	—
823	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
825	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
827	#127	—	2	2	no	—
828	#127	—	2	1	no	—
829	#127	—	2	1	no	—
830	#127	C₂³×C₁₃	1	1	yes	characteristic
831	#127	C₂³×C₁₃	1	1	yes	characteristic
832	#127	C₂³×C₁₃	1	2	yes	—
833	#126	—	2	1	no	—
834	#126	—	2	1	no	—
835	#126	—	2	1	no	—
836	#126	—	2	1	no	—
837	#126	—	2	1	no	—
838	#126	—	2	1	no	—
839	#125	—	2	1	no	—
840	#125	—	2	1	no	—
841	#125	—	2	1	no	—
842	#125	—	2	1	no	—
843	#125	—	2	1	no	—
844	#125	—	2	1	no	—
845	#125	C₂³×C₁₃	1	1	yes	characteristic
846	#125	C₂³×C₁₃	1	1	yes	characteristic
847	#124	—	2	2	no	—
848	#124	—	2	1	no	—
849	#124	—	2	1	no	—
850	#124	—	2	1	no	—
851	#124	—	2	1	no	—
852	#124	C₂³×C₁₃	1	1	yes	characteristic
853	#124	C₂³×C₁₃	1	1	yes	characteristic
854	#124	C₂³×C₁₃	1	2	yes	—
855	#124	C₂³×C₁₃	1	2	yes	—
856	#123	—	2	1	no	—
857	#123	—	2	1	no	—
858	#123	—	2	1	no	—
859	#123	—	2	1	no	—
860	#123	—	2	2	no	—
861	#123	—	2	2	no	—
862	#123	—	2	2	no	—
863	#123	—	2	2	no	—
864	#123	—	2	1	no	—
865	#123	—	2	1	no	—
866	C₂²⋊Q₈	—	2	1	no	—
867	C₂²⋊Q₈	—	2	1	no	—
868	C₂²⋊Q₈	—	2	1	no	—
869	C₂²⋊Q₈	—	2	1	no	—
870	C₂²⋊Q₈	—	2	1	no	—
871	C₂²⋊Q₈	—	2	1	no	—
872	C₂²⋊Q₈	—	2	1	no	—
873	C₂²⋊Q₈	—	2	1	no	—
874	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
877	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
879	#121	—	2	1	no	—
880	#121	—	2	1	no	—
881	#121	—	2	1	no	—
882	#121	—	2	1	no	—
883	#121	—	2	1	no	—
884	#121	—	2	1	no	—
885	#121	—	2	1	no	—
886	#121	—	2	1	no	—
887	#121	—	2	2	no	—
888	#121	—	2	2	no	—
889	#121	—	2	2	no	—
890	#121	—	2	2	no	—
891	#121	C₂³×C₁₃	1	1	yes	characteristic
892	#121	C₂³×C₁₃	1	1	yes	characteristic
893	#121	C₂³×C₁₃	1	2	yes	—
894	#121	C₂³×C₁₃	1	2	yes	—
895	#120	—	2	2	no	—
896	#120	—	2	2	no	—
897	C₄×Q₈	—	2	1	no	—
898	C₄×Q₈	—	2	1	no	—
899	C₄×Q₈	—	2	1	no	—
900	C₄×Q₈	—	2	1	no	—
901	C₄×Q₈	—	2	1	no	—
902	C₄×Q₈	—	2	1	no	—
903	C₄×Q₈	—	2	1	no	—
904	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
905	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
906	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
907	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
908	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
909	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
910	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
911	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
912	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
913	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
914	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
915	C₄×D₄	—	2	1	no	—
916	C₄×D₄	—	2	1	no	—
917	C₄×D₄	—	2	1	no	—
918	C₄×D₄	—	2	1	no	—
919	C₄×D₄	—	2	1	no	—
920	C₄×D₄	—	2	2	no	—
921	C₄×D₄	—	2	2	no	—
922	C₄×D₄	—	2	1	no	—
923	C₄×D₄	—	2	1	no	—
924	C₄×D₄	—	2	1	no	—
925	C₄×D₄	—	2	1	no	—
926	C₄×D₄	—	2	1	no	—
927	C₄×D₄	—	2	1	no	—
928	C₄×D₄	—	2	1	no	—
929	C₄×D₄	—	2	1	no	—
930	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
931	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
932	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
933	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
934	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
935	C₄×D₄	C₂³×C₁₃	1	2	yes	—
936	C₄×D₄	C₂³×C₁₃	1	2	yes	—
937	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
938	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
939	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
940	#117	—	2	1	no	—
941	#117	—	2	1	no	—
942	#117	—	2	1	no	—
943	#117	—	2	1	no	—
944	#117	—	2	1	no	—
945	#117	—	2	1	no	—
946	#117	—	2	1	no	—
947	#117	—	2	1	no	—
948	#117	D₄×C₁₃	1	1	yes	characteristic
949	#117	D₄×C₁₃	1	1	yes	characteristic
950	#117	D₄×C₁₃	1	1	yes	characteristic
951	#117	C₂³×C₁₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	—	2	1	no	—
953	C₂×C₄⋊C₄	—	2	1	no	—
954	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	—	2	2	no	—
957	C₂×C₂²⋊C₄	—	2	2	no	—
958	C₂×C₄²	—	2	1	no	—
959	C₂×C₄²	—	2	1	no	—
960	C₂×C₄²	—	2	1	no	—
961	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
962	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
963	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
964	#107	C₂³×C₁₃	1	2	yes	—
965	#106	C₂³×C₁₃	1	2	yes	—
966	#106	C₂³×C₁₃	1	2	yes	—
967	#106	C₂³×C₁₃	1	2	yes	—
968	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
969	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
970	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
971	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
972	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
973	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
974	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
975	#103	C₂³×C₁₃	1	2	yes	—
976	#103	C₂³×C₁₃	1	2	yes	—
977	#103	C₂³×C₁₃	1	2	yes	—
978	#103	C₂³×C₁₃	1	2	yes	—
979	#103	C₂³×C₁₃	1	2	yes	—
980	#103	C₂³×C₁₃	1	2	yes	—
981	#103	C₂³×C₁₃	1	2	yes	—
982	#102	C₂³×C₁₃	1	2	yes	—
983	#102	C₂³×C₁₃	1	2	yes	—
984	#102	C₂³×C₁₃	1	2	yes	—
985	#102	C₂³×C₁₃	1	2	yes	—
986	#102	C₂³×C₁₃	1	2	yes	—
987	#102	C₂³×C₁₃	1	2	yes	—
988	#102	C₂³×C₁₃	1	2	yes	—
989	#102	C₂³×C₁₃	1	2	yes	—
990	#102	C₂³×C₁₃	1	2	yes	—
991	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
992	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
993	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
994	#97	C₂³×C₁₃	1	2	yes	—
995	#97	C₂³×C₁₃	1	2	yes	—
996	C₄×C₈	C₂³×C₁₃	1	2	yes	—
997	C₂×C₁₃	—	2	2	no	—
998	C₂×C₁₃	—	4	1	no	—
999	C₂×C₁₃	—	4	1	no	—
1000	C₂×C₁₃	—	8	1	no	—
1001	C₂×C₁₃	—	8	2	no	—
1002	C₂×C₁₃	—	8	2	no	—
1003	C₂×C₁₃	#3488	1	1	yes	characteristic
1004	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1005	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1006	C₂⁴	—	2	2	no	—
1007	#41	—	2	2	no	—
1008	#41	—	4	2	no	—
1009	#41	—	4	1	no	—
1010	#41	—	4	2	no	—
1011	#41	—	4	2	no	—
1012	#41	—	4	2	no	—
1013	#41	—	4	2	no	—
1014	#41	—	4	4	no	—
1015	#41	—	8	2	no	—
1016	#41	—	8	2	no	—
1017	C₂×Q₈	—	2	1	no	—
1018	C₂×Q₈	—	2	1	no	—
1019	C₂×Q₈	—	2	1	no	—
1020	C₂×Q₈	—	2	1	no	—
1021	C₂×Q₈	—	2	2	no	—
1022	C₂×Q₈	—	2	2	no	—
1023	C₂×Q₈	—	4	1	no	—
1024	C₂×Q₈	—	4	1	no	—
1025	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1026	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1027	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1029	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₂×D₄	—	2	1	no	—
1031	C₂×D₄	—	2	1	no	—
1032	C₂×D₄	—	2	1	no	—
1033	C₂×D₄	—	2	2	no	—
1034	C₂×D₄	—	2	2	no	—
1035	C₂×D₄	—	2	2	no	—
1036	C₂×D₄	—	2	2	no	—
1037	C₂×D₄	—	2	1	no	—
1038	C₂×D₄	—	2	1	no	—
1039	C₂×D₄	—	2	2	no	—
1040	C₂×D₄	—	2	1	no	—
1041	C₂×D₄	—	2	1	no	—
1042	C₂×D₄	—	2	2	no	—
1043	C₂×D₄	—	2	2	no	—
1044	C₂×D₄	—	4	2	no	—
1045	C₂×D₄	—	4	2	no	—
1046	C₂×D₄	—	4	4	no	—
1047	C₂×D₄	—	8	2	no	—
1048	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1049	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1050	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1051	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1052	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1053	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1054	C₂²×C₄	—	2	1	no	—
1055	C₂²×C₄	—	2	1	no	—
1056	C₂²×C₄	—	2	1	no	—
1057	C₂²×C₄	—	2	1	no	—
1058	C₂²×C₄	—	2	1	no	—
1059	C₂²×C₄	—	2	1	no	—
1060	C₂²×C₄	—	2	1	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	2	2	no	—
1065	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1074	Q₁₆	—	2	4	no	—
1075	Q₁₆	—	4	2	no	—
1076	Q₁₆	—	4	2	no	—
1077	SD₁₆	—	2	4	no	—
1078	SD₁₆	—	2	4	no	—
1079	SD₁₆	—	4	2	no	—
1080	SD₁₆	—	4	2	no	—
1081	SD₁₆	—	4	2	no	—
1082	SD₁₆	—	4	2	no	—
1083	SD₁₆	—	4	2	no	—
1084	D₈	—	4	2	no	—
1085	D₈	—	4	2	no	—
1086	M₁₆	—	4	2	no	—
1087	C₂×C₈	—	4	2	no	—
1088	C₂×C₈	—	4	2	no	—
1089	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1090	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1091	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1092	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	2	1	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	—	2	1	no	—
1100	C₄⋊C₄	—	2	1	no	—
1101	C₄⋊C₄	—	2	1	no	—
1102	C₄⋊C₄	—	2	1	no	—
1103	C₄⋊C₄	—	2	1	no	—
1104	C₄⋊C₄	—	2	1	no	—
1105	C₄⋊C₄	—	2	1	no	—
1106	C₄⋊C₄	—	2	1	no	—
1107	C₄⋊C₄	—	2	1	no	—
1108	C₄⋊C₄	—	2	1	no	—
1109	C₄⋊C₄	—	2	1	no	—
1110	C₄⋊C₄	—	2	1	no	—
1111	C₄⋊C₄	—	2	1	no	—
1112	C₄⋊C₄	—	2	1	no	—
1113	C₄⋊C₄	—	2	1	no	—
1114	C₄⋊C₄	—	2	1	no	—
1115	C₄⋊C₄	—	2	1	no	—
1116	C₄⋊C₄	—	2	1	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	—	2	2	no	—
1119	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1120	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1122	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1123	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1124	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1125	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	1	no	—
1134	C₂²⋊C₄	—	2	1	no	—
1135	C₂²⋊C₄	—	2	1	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	1	no	—
1141	C₂²⋊C₄	—	2	1	no	—
1142	C₂²⋊C₄	—	2	1	no	—
1143	C₂²⋊C₄	—	2	1	no	—
1144	C₂²⋊C₄	—	2	1	no	—
1145	C₂²⋊C₄	—	2	1	no	—
1146	C₂²⋊C₄	—	2	1	no	—
1147	C₂²⋊C₄	—	2	1	no	—
1148	C₂²⋊C₄	—	2	2	no	—
1149	C₂²⋊C₄	—	2	2	no	—
1150	C₂²⋊C₄	—	2	2	no	—
1151	C₂²⋊C₄	—	2	2	no	—
1152	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1153	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1154	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1156	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1157	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1158	C₄²	—	2	1	no	—
1159	C₄²	—	2	1	no	—
1160	C₄²	—	2	1	no	—
1161	C₄²	—	2	1	no	—
1162	C₄²	—	2	1	no	—
1163	C₄²	—	2	1	no	—
1164	C₄²	—	2	1	no	—
1165	C₄²	—	2	1	no	—
1166	C₄²	—	2	1	no	—
1167	C₄²	—	2	2	no	—
1168	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1169	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1170	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1171	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1172	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1173	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1174	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1175	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1176	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1177	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1178	C₁₃	#61981	1	1	yes	characteristic, direct product factor, Sylow
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	2	no	—
1181	C₂³	—	2	2	no	—
1182	C₂³	—	4	4	no	—
1183	C₂³	—	8	2	no	—
1184	C₂³	—	8	2	no	—
1185	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1186	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1187	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1188	Q₈	—	2	1	no	—
1189	Q₈	—	2	1	no	—
1190	Q₈	—	2	1	no	—
1191	Q₈	—	2	2	no	—
1192	Q₈	—	2	1	no	—
1193	Q₈	—	2	1	no	—
1194	Q₈	—	2	2	no	—
1195	Q₈	—	4	1	no	—
1196	Q₈	—	4	2	no	—
1197	Q₈	—	4	2	no	—
1198	Q₈	—	4	2	no	—
1199	Q₈	—	4	2	no	—
1200	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1201	D₄	—	2	2	no	—
1202	D₄	—	2	2	no	—
1203	D₄	—	2	1	no	—
1204	D₄	—	2	2	no	—
1205	D₄	—	2	2	no	—
1206	D₄	—	2	1	no	—
1207	D₄	—	2	2	no	—
1208	D₄	—	2	2	no	—
1209	D₄	—	4	1	no	—
1210	D₄	—	4	2	no	—
1211	D₄	—	4	2	no	—
1212	D₄	—	4	2	no	—
1213	D₄	—	4	4	no	—
1214	D₄	—	4	2	no	—
1215	D₄	—	4	2	no	—
1216	D₄	—	4	2	no	—
1217	D₄	—	4	2	no	—
1218	D₄	—	8	2	no	—
1219	D₄	—	8	2	no	—
1220	D₄	—	8	2	no	—
1221	D₄	—	8	2	no	—
1222	D₄	—	8	2	no	—
1223	D₄	—	8	2	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	4	1	no	—
1244	C₂×C₄	—	4	1	no	—
1245	C₂×C₄	—	4	2	no	—
1246	C₂×C₄	—	4	2	no	—
1247	C₂×C₄	—	4	2	no	—
1248	C₂×C₄	—	4	2	no	—
1249	C₂×C₄	—	4	2	no	—
1250	C₂×C₄	—	4	2	no	—
1251	C₂×C₄	—	4	2	no	—
1252	C₂×C₄	—	8	2	no	—
1253	C₂×C₄	—	8	2	no	—
1254	C₂×C₄	—	8	2	no	—
1255	C₂×C₄	—	8	2	no	—
1256	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1257	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1258	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1259	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1260	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1261	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1262	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1263	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1264	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1265	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1266	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1267	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1268	C₈	—	2	2	no	—
1269	C₈	—	2	2	no	—
1270	C₈	—	2	2	no	—
1271	C₈	—	2	2	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	1	no	—
1274	C₂²	—	2	1	no	—
1275	C₂²	—	2	1	no	—
1276	C₂²	—	2	1	no	—
1277	C₂²	—	2	1	no	—
1278	C₂²	—	2	1	no	—
1279	C₂²	—	2	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	2	no	—
1282	C₂²	—	4	2	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	2	no	—
1285	C₂²	—	4	2	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	2	no	—
1288	C₂²	—	4	2	no	—
1289	C₂²	—	16	4	no	—
1290	C₂²	C₁₃×#575	1	2	yes	—
1291	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1292	C₄	—	2	1	no	—
1293	C₄	—	2	1	no	—
1294	C₄	—	2	1	no	—
1295	C₄	—	2	1	no	—
1296	C₄	—	2	1	no	—
1297	C₄	—	2	1	no	—
1298	C₄	—	2	1	no	—
1299	C₄	—	2	1	no	—
1300	C₄	—	2	1	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	2	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	2	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	2	no	—
1311	C₄	C₁₃×#577	1	2	yes	—
1312	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1313	C₄	C₁₃×#585	1	1	yes	characteristic
1314	C₂	—	2	2	no	—
1315	C₂	—	4	1	no	—
1316	C₂	—	4	1	no	—
1317	C₂	—	8	2	no	—
1318	C₂	—	8	2	no	—
1319	C₂	—	8	1	no	—
1320	C₂	C₁₃×#3488	1	1	yes	characteristic
1321	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1322	C₂	C₂×C₁₃×#577	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3508	C₂	semidirect
2. C₁₃×#3482	C₂	semidirect
3. C₁₃×#3401	C₂	semidirect
4. C₁₃×#3371	C₂	semidirect
5. C₁₃×#3317	C₂	semidirect
6. C₁₃×#3306	C₂	semidirect
7. C₁₃×#3296	C₂	semidirect
8. C₁₃×#3282	C₂	semidirect
9. C₁₃×#3271	C₂	semidirect
10. C₁₃×#3266	C₂	semidirect
11. C₁₃×#3251	C₂	semidirect
12. C₁₃×#3248	C₂	semidirect
13. C₁₃×#3246	C₂	semidirect
14. C₁₃×#3217	C₂	semidirect
15. C₁₃×#3216	C₂	semidirect
16. C₁₃×#3212	C₂	semidirect
17. C₁₃×#3115	C₂	semidirect
18. C₁₃×#3113	C₂	semidirect
19. C₁₃×#3103	C₂	semidirect
20. C₁₃×#3037	C₂	semidirect
21. C₁₃×#3035	C₂	semidirect
22. C₂×C₁₃×#460	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
24. C₂×C₁₃×#137	C₂²	semidirect
25. C₂×C₁₃×#135	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
31. C₁₃×#556	C₂²	semidirect
35. C₁₃×#552	C₂²	semidirect
40. C₁₃×#548	C₂²	semidirect
52. C₁₃×#533	C₂²	semidirect
61. C₁₃×#529	C₂²	semidirect
65. C₄×C₁₃×#41	C₂²	semidirect
67. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
68. C₁₃×#497	C₂²	semidirect
70. C₁₃×#495	C₂²	semidirect
72. C₁₃×#489	C₂²	semidirect
73. C₁₃×#488	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
76. C₁₃×#481	C₂²	semidirect
77. C₁₃×#479	C₂²	semidirect
78. C₁₃×#478	C₂²	semidirect
79. C₁₃×#476	C₂²	semidirect
80. C₁₃×#475	C₂²	semidirect
81. C₁₃×#475	C₂²	semidirect
82. C₁₃×#475	C₂²	semidirect
83. C₁₃×#474	C₂²	semidirect
84. C₁₃×#469	C₂²	semidirect
85. C₁₃×#468	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#464	C₂²	semidirect
93. C₁₃×#464	C₂²	semidirect
94. C₁₃×#463	C₂²	semidirect
95. C₁₃×#463	C₂²	semidirect
96. C₁₃×#462	C₂²	semidirect
97. C₁₃×#462	C₂²	semidirect
98. C₁₃×#462	C₂²	semidirect
99. C₁₃×#461	C₂²	semidirect
100. C₁₃×#461	C₂²	semidirect
111. C₁₃×#452	C₂²	semidirect
112. C₁₃×#452	C₂²	semidirect
113. C₁₃×#452	C₂²	semidirect
116. C₁₃×#449	C₂²	semidirect
117. C₁₃×#449	C₂²	semidirect
118. C₁₃×#448	C₂²	semidirect
120. C₁₃×#446	C₂²	semidirect
121. C₁₃×#442	C₂²	semidirect
122. C₁₃×#441	C₂²	semidirect
123. C₁₃×#441	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₄×C₁₃×SD₁₆	C₂²	semidirect
128. C₁₃×#435	C₂²	semidirect
131. C₁₃×#432	C₂²	semidirect
132. C₁₃×#431	C₂²	semidirect
133. C₁₃×#423	C₂²	semidirect
135. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
136. C₁₃×#417	C₂²	semidirect
137. C₁₃×#416	C₂²	semidirect
345. #61981	C₁₃	direct (N × H)
518. #3508	C₂×C₁₃	semidirect
519. #3482	C₂×C₁₃	semidirect
520. #3401	C₂×C₁₃	semidirect
521. #3371	C₂×C₁₃	semidirect
522. #3317	C₂×C₁₃	semidirect
523. #3306	C₂×C₁₃	semidirect
524. #3296	C₂×C₁₃	semidirect
525. #3282	C₂×C₁₃	semidirect
526. #3271	C₂×C₁₃	semidirect
527. #3266	C₂×C₁₃	semidirect
528. #3251	C₂×C₁₃	semidirect
529. #3248	C₂×C₁₃	semidirect
530. #3246	C₂×C₁₃	semidirect
531. #3217	C₂×C₁₃	semidirect
532. #3216	C₂×C₁₃	semidirect
533. #3212	C₂×C₁₃	semidirect
534. #3115	C₂×C₁₃	semidirect
535. #3113	C₂×C₁₃	semidirect
536. #3103	C₂×C₁₃	semidirect
537. #3037	C₂×C₁₃	semidirect
538. #3035	C₂×C₁₃	semidirect
539. C₂×#460	C₂×C₁₃	semidirect
540. #2990	C₂×C₁₃	semidirect
634. C₂×#137	C₂²×C₁₃	semidirect
635. C₂×#135	C₂²×C₁₃	semidirect
639. #557	C₂²×C₁₃	semidirect
641. #556	C₂²×C₁₃	semidirect
645. #552	C₂²×C₁₃	semidirect
650. #548	C₂²×C₁₃	semidirect
662. #533	C₂²×C₁₃	semidirect
671. #529	C₂²×C₁₃	semidirect
675. C₄×#41	C₂²×C₁₃	semidirect
677. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
678. #497	C₂²×C₁₃	semidirect
680. #495	C₂²×C₁₃	semidirect
682. #489	C₂²×C₁₃	semidirect
683. #488	C₂²×C₁₃	semidirect
685. #482	C₂²×C₁₃	semidirect
686. #481	C₂²×C₁₃	semidirect
687. #479	C₂²×C₁₃	semidirect
688. #478	C₂²×C₁₃	semidirect
689. #476	C₂²×C₁₃	semidirect
690. #475	C₂²×C₁₃	semidirect
691. #475	C₂²×C₁₃	semidirect
692. #475	C₂²×C₁₃	semidirect
693. #474	C₂²×C₁₃	semidirect
694. #469	C₂²×C₁₃	semidirect
695. #468	C₂²×C₁₃	semidirect
698. #465	C₂²×C₁₃	semidirect
699. #465	C₂²×C₁₃	semidirect
700. #464	C₂²×C₁₃	semidirect
701. #464	C₂²×C₁₃	semidirect
702. #464	C₂²×C₁₃	semidirect
703. #464	C₂²×C₁₃	semidirect
704. #463	C₂²×C₁₃	semidirect
705. #463	C₂²×C₁₃	semidirect
706. #462	C₂²×C₁₃	semidirect
707. #462	C₂²×C₁₃	semidirect
708. #462	C₂²×C₁₃	semidirect
709. #461	C₂²×C₁₃	semidirect
710. #461	C₂²×C₁₃	semidirect
721. #452	C₂²×C₁₃	semidirect
722. #452	C₂²×C₁₃	semidirect
723. #452	C₂²×C₁₃	semidirect
726. #449	C₂²×C₁₃	semidirect
727. #449	C₂²×C₁₃	semidirect
728. #448	C₂²×C₁₃	semidirect
730. #446	C₂²×C₁₃	semidirect
731. #442	C₂²×C₁₃	semidirect
732. #441	C₂²×C₁₃	semidirect
733. #441	C₂²×C₁₃	semidirect
734. #440	C₂²×C₁₃	semidirect
735. C₄×SD₁₆	C₂²×C₁₃	semidirect
736. C₄×SD₁₆	C₂²×C₁₃	semidirect
738. #435	C₂²×C₁₃	semidirect
741. #432	C₂²×C₁₃	semidirect
742. #431	C₂²×C₁₃	semidirect
743. #423	C₂²×C₁₃	semidirect
745. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
746. #417	C₂²×C₁₃	semidirect
747. #416	C₂²×C₁₃	semidirect
1178. C₁₃	#61981	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×#3508	2
C₁₃×#3482	2
C₁₃×#3401	2
C₁₃×#3371	2
C₁₃×#3317	2
C₁₃×#3306	2
C₁₃×#3296	2
C₁₃×#3282	2
C₁₃×#3271	2
C₁₃×#3266	2
C₁₃×#3251	2
C₁₃×#3248	2
C₁₃×#3246	2
C₁₃×#3217	2
C₁₃×#3216	2
C₁₃×#3212	2
C₁₃×#3115	2
C₁₃×#3113	2
C₁₃×#3103	2
C₁₃×#3037	2
C₁₃×#3035	2
C₂×C₁₃×#460	2
C₁₃×#2990	2
#61981	13

Subgroups — C13×#61981 #15748320

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61981 #15748320