Subgroups — C₁₃×#60990 #15747329

Order 3328.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1342 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×#3460	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3253	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3245	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3205	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3199	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3198	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3176	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3122	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3118	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2925	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	—	2	1	no	—
25	C₁₃×#559	—	2	1	no	—
26	C₁₃×#550	—	2	1	no	—
27	C₁₃×#550	—	2	1	no	—
28	C₁₃×#546	—	2	1	no	—
29	C₁₃×#546	—	2	1	no	—
30	C₁₃×#546	—	2	1	no	—
31	C₁₃×#546	—	2	1	no	—
32	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#542	—	2	1	no	—
34	C₁₃×#542	C₂²	1	1	yes	characteristic
35	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#540	—	2	1	no	—
37	C₁₃×#540	C₂²	1	1	yes	characteristic
38	C₁₃×#540	C₂²	1	2	yes	—
39	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#540	C₂²	1	2	yes	complemented
41	C₁₃×#538	—	2	1	no	—
42	C₁₃×#538	—	2	1	no	—
43	C₁₃×#537	C₂²	1	1	yes	characteristic
44	C₁₃×#535	C₂²	1	2	yes	—
45	C₁₃×#535	C₂²	1	1	yes	characteristic
46	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#532	—	2	1	no	—
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#529	—	2	1	no	—
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#525	—	2	1	no	—
60	C₁₃×#525	—	2	1	no	—
61	C₁₃×#518	C₂²	1	2	yes	complemented
62	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
63	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#499	C₂²	1	2	yes	complemented
67	C₁₃×#496	C₂²	1	2	yes	—
68	C₁₃×#493	C₂²	1	2	yes	—
69	C₁₃×#490	C₂²	1	2	yes	complemented
70	C₁₃×#490	C₂²	1	2	yes	complemented
71	C₁₃×#488	C₂²	1	2	yes	complemented
72	C₁₃×#486	C₂²	1	2	yes	complemented
73	C₁₃×#485	C₂²	1	2	yes	complemented
74	C₁₃×#482	C₂²	1	2	yes	—
75	C₁₃×#482	C₂²	1	2	yes	—
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#482	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	2	yes	complemented
80	C₁₃×#480	C₂²	1	2	yes	complemented
81	C₁₃×#478	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#476	C₂²	1	2	yes	complemented
88	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#474	C₂²	1	2	yes	complemented
93	C₁₃×#469	C₂²	1	2	yes	complemented
94	C₁₃×#469	C₂²	1	2	yes	complemented
95	C₁₃×#469	C₂²	1	2	yes	complemented
96	C₁₃×#468	C₂²	1	2	yes	complemented
97	C₁₃×#466	C₂²	1	2	yes	complemented
98	C₁₃×#466	C₂²	1	2	yes	complemented
99	C₁₃×#466	C₂²	1	2	yes	complemented
100	C₁₃×#465	C₂²	1	2	yes	complemented
101	C₁₃×#463	C₂²	1	2	yes	complemented
102	C₁₃×#463	C₂²	1	2	yes	complemented
103	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#459	C₂²	1	1	yes	characteristic
106	C₁₃×#459	C₂²	1	1	yes	characteristic
107	C₁₃×#459	C₂²	1	1	yes	characteristic
108	C₁₃×#459	C₂²	1	1	yes	characteristic
109	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#459	C₂²	1	2	yes	complemented
112	C₁₃×#459	C₂²	1	2	yes	complemented
113	C₁₃×#450	C₂²	1	2	yes	complemented
114	C₁₃×#449	C₂²	1	2	yes	complemented
115	C₁₃×#449	C₂²	1	2	yes	complemented
116	C₁₃×#447	C₂²	1	2	yes	—
117	C₁₃×#447	C₂²	1	2	yes	—
118	C₁₃×#447	C₂²	1	2	yes	complemented
119	C₁₃×#447	C₂²	1	2	yes	complemented
120	C₁₃×#447	C₂²	1	2	yes	complemented
121	C₁₃×#442	C₂²	1	2	yes	complemented
122	C₁₃×#442	C₂²	1	2	yes	complemented
123	C₁₃×#442	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×D₈	C₂²	1	2	yes	complemented
127	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
128	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
129	C₁₃×#433	C₂²	1	2	yes	complemented
130	C₁₃×#433	C₂²	1	2	yes	complemented
131	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#408	C₂²	1	2	yes	—
138	C₁₃×#405	C₂²	1	2	yes	complemented
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	—	2	1	no	—
143	C₂×C₁₃×#41	—	2	1	no	—
144	C₂×C₁₃×#41	—	2	1	no	—
145	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃	—	2	1	no	—
148	C₂²×D₄×C₁₃	—	2	1	no	—
149	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃	—	2	1	no	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×D₈	C₂³	1	2	yes	—
159	C₂×C₁₃×D₈	C₂³	1	2	yes	—
160	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	—	2	1	no	—
168	C₁₃×#127	—	2	2	no	—
169	C₁₃×#127	—	2	1	no	—
170	C₁₃×#127	—	2	1	no	—
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#127	C₂³	1	1	yes	characteristic
173	C₁₃×#127	C₂³	1	1	yes	characteristic
174	C₁₃×#127	C₂³	1	2	yes	—
175	C₁₃×#127	C₂³	1	1	yes	characteristic
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	1	no	—
178	C₁₃×#126	—	2	1	no	—
179	C₁₃×#126	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	C₂³	1	1	yes	characteristic
182	C₁₃×#125	C₂³	1	2	yes	—
183	C₁₃×#125	C₂³	1	1	yes	characteristic
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	C₂³	1	1	yes	characteristic
195	C₁₃×#124	C₂³	1	1	yes	characteristic
196	C₁₃×#123	—	2	1	no	—
197	C₁₃×#123	—	2	1	no	—
198	C₁₃×#123	—	2	1	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	1	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
216	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	1	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
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	2	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	2	yes	—
242	C₁₃×#121	C₂³	1	2	yes	—
243	C₁₃×#121	C₂³	1	1	yes	characteristic
244	C₁₃×#121	C₂³	1	1	yes	characteristic
245	C₁₃×#121	C₂³	1	1	yes	characteristic
246	C₁₃×#120	—	2	1	no	—
247	C₁₃×#120	—	2	1	no	—
248	C₁₃×#120	—	2	2	no	—
249	C₁₃×#120	—	2	2	no	—
250	C₁₃×#120	—	2	1	no	—
251	C₁₃×#120	—	2	1	no	—
252	C₄×Q₈×C₁₃	—	2	1	no	—
253	C₄×Q₈×C₁₃	—	2	1	no	—
254	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	2	no	—
263	C₄×D₄×C₁₃	—	2	2	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	1	no	—
269	C₄×D₄×C₁₃	—	2	1	no	—
270	C₄×D₄×C₁₃	—	2	1	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
273	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
274	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
275	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
276	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
277	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
278	C₄×D₄×C₁₃	C₂³	1	2	yes	—
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
287	C₄×D₄×C₁₃	C₂³	1	2	yes	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	1	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	C₂³	1	2	yes	—
292	C₁₃×#117	C₂³	1	1	yes	characteristic
293	C₁₃×#117	C₂³	1	1	yes	characteristic
294	C₁₃×#117	C₂³	1	1	yes	characteristic
295	C₁₃×#117	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
300	C₂×C₄²×C₁₃	—	2	1	no	—
301	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#107	C₂³	1	2	yes	—
307	C₁₃×#107	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×#106	C₂³	1	2	yes	—
310	C₁₃×#106	C₂³	1	2	yes	—
311	C₁₃×#106	C₂³	1	2	yes	—
312	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	2	yes	—
320	C₁₃×#102	C₂³	1	2	yes	—
321	C₁₃×#102	C₂³	1	2	yes	—
322	C₁₃×#102	C₂³	1	2	yes	—
323	C₁₃×#102	C₂³	1	2	yes	—
324	C₁₃×#102	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
329	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₄×C₈×C₁₃	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#60990	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	2	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₁₃×#41	—	4	1	no	—
346	C₁₃×#41	—	4	1	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	4	1	no	—
349	C₁₃×#41	—	8	2	no	—
350	C₁₃×#41	—	8	2	no	—
351	C₁₃×#41	—	8	2	no	—
352	C₁₃×#41	—	8	2	no	—
353	C₁₃×#41	—	8	2	no	—
354	C₁₃×#41	—	8	2	no	—
355	C₂×Q₈×C₁₃	—	2	1	no	—
356	C₂×Q₈×C₁₃	—	2	1	no	—
357	C₂×Q₈×C₁₃	—	2	1	no	—
358	C₂×Q₈×C₁₃	—	2	1	no	—
359	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	2	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	2	no	—
367	C₂×D₄×C₁₃	—	2	2	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
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	1	no	—
375	C₂×D₄×C₁₃	—	2	1	no	—
376	C₂×D₄×C₁₃	—	2	1	no	—
377	C₂×D₄×C₁₃	—	2	1	no	—
378	C₂×D₄×C₁₃	—	2	1	no	—
379	C₂×D₄×C₁₃	—	2	1	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	1	no	—
387	C₂×D₄×C₁₃	—	4	1	no	—
388	C₂×D₄×C₁₃	—	8	2	no	—
389	C₂×D₄×C₁₃	—	8	2	no	—
390	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
397	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
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	1	no	—
402	C₂²×C₄×C₁₃	—	2	1	no	—
403	C₂²×C₄×C₁₃	—	2	1	no	—
404	C₂²×C₄×C₁₃	—	2	2	no	—
405	C₂²×C₄×C₁₃	—	2	2	no	—
406	C₂²×C₄×C₁₃	—	2	2	no	—
407	C₂²×C₄×C₁₃	—	2	2	no	—
408	C₂²×C₄×C₁₃	—	2	1	no	—
409	C₂²×C₄×C₁₃	—	2	1	no	—
410	C₂²×C₄×C₁₃	—	8	2	no	—
411	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
416	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₁₃×SD₁₆	—	4	2	no	—
421	C₁₃×SD₁₆	—	4	2	no	—
422	C₁₃×D₈	—	4	2	no	—
423	C₁₃×D₈	—	4	2	no	—
424	C₁₃×D₈	—	4	2	no	—
425	C₁₃×D₈	—	4	2	no	—
426	C₁₃×D₈	—	4	2	no	—
427	C₁₃×D₈	—	4	2	no	—
428	C₁₃×M₁₆	—	4	2	no	—
429	C₂×C₈×C₁₃	—	4	2	no	—
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	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
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	2	no	—
448	C₁₃×C₄⋊C₄	—	2	2	no	—
449	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
454	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
456	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
457	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
458	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
459	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
461	C₁₃×C₂²⋊C₄	—	2	2	no	—
462	C₁₃×C₂²⋊C₄	—	2	1	no	—
463	C₁₃×C₂²⋊C₄	—	2	1	no	—
464	C₁₃×C₂²⋊C₄	—	2	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	no	—
467	C₁₃×C₂²⋊C₄	—	2	2	no	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₁₃×C₂²⋊C₄	—	2	2	no	—
487	C₁₃×C₂²⋊C₄	—	2	1	no	—
488	C₁₃×C₂²⋊C₄	—	2	1	no	—
489	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
490	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
491	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₁₃	—	2	1	no	—
496	C₄²×C₁₃	—	2	1	no	—
497	C₄²×C₁₃	—	2	1	no	—
498	C₄²×C₁₃	—	2	2	no	—
499	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
501	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
502	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
503	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
504	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
505	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
506	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
507	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
509	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
510	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3253	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3245	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3241	C₂×C₁₃	1	2	yes	complemented
516	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3220	C₂×C₁₃	1	2	yes	complemented
519	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3205	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3199	C₂×C₁₃	1	2	yes	complemented
522	#3198	C₂×C₁₃	1	2	yes	complemented
523	#3179	C₂×C₁₃	1	2	yes	complemented
524	#3176	C₂×C₁₃	1	2	yes	complemented
525	#3122	C₂×C₁₃	1	2	yes	complemented
526	#3118	C₂×C₁₃	1	2	yes	complemented
527	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#2925	C₂×C₁₃	1	1	yes	characteristic, complemented
532	C₂³×C₁₃	—	2	1	no	—
533	C₂³×C₁₃	—	2	1	no	—
534	C₂³×C₁₃	—	2	1	no	—
535	C₂³×C₁₃	—	2	2	no	—
536	C₂³×C₁₃	—	2	2	no	—
537	C₂³×C₁₃	—	4	2	no	—
538	C₂³×C₁₃	—	4	4	no	—
539	C₂³×C₁₃	—	8	1	no	—
540	C₂³×C₁₃	—	8	1	no	—
541	C₂³×C₁₃	—	8	2	no	—
542	C₂³×C₁₃	—	8	2	no	—
543	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	Q₈×C₁₃	—	2	1	no	—
547	Q₈×C₁₃	—	2	1	no	—
548	Q₈×C₁₃	—	4	1	no	—
549	Q₈×C₁₃	—	4	2	no	—
550	Q₈×C₁₃	—	4	2	no	—
551	Q₈×C₁₃	—	8	1	no	—
552	Q₈×C₁₃	—	8	1	no	—
553	D₄×C₁₃	—	2	1	no	—
554	D₄×C₁₃	—	2	1	no	—
555	D₄×C₁₃	—	2	1	no	—
556	D₄×C₁₃	—	2	1	no	—
557	D₄×C₁₃	—	2	2	no	—
558	D₄×C₁₃	—	2	2	no	—
559	D₄×C₁₃	—	2	1	no	—
560	D₄×C₁₃	—	2	1	no	—
561	D₄×C₁₃	—	2	2	no	—
562	D₄×C₁₃	—	2	2	no	—
563	D₄×C₁₃	—	4	1	no	—
564	D₄×C₁₃	—	4	1	no	—
565	D₄×C₁₃	—	4	1	no	—
566	D₄×C₁₃	—	4	2	no	—
567	D₄×C₁₃	—	4	4	no	—
568	D₄×C₁₃	—	4	2	no	—
569	D₄×C₁₃	—	4	2	no	—
570	D₄×C₁₃	—	4	2	no	—
571	D₄×C₁₃	—	4	2	no	—
572	D₄×C₁₃	—	4	2	no	—
573	D₄×C₁₃	—	8	1	no	—
574	D₄×C₁₃	—	8	1	no	—
575	D₄×C₁₃	—	8	2	no	—
576	D₄×C₁₃	—	8	2	no	—
577	D₄×C₁₃	—	8	1	no	—
578	D₄×C₁₃	—	8	1	no	—
579	D₄×C₁₃	—	8	1	no	—
580	D₄×C₁₃	—	8	1	no	—
581	D₄×C₁₃	—	8	2	no	—
582	D₄×C₁₃	—	8	2	no	—
583	D₄×C₁₃	—	8	1	no	—
584	D₄×C₁₃	—	8	1	no	—
585	D₄×C₁₃	—	8	1	no	—
586	D₄×C₁₃	—	8	1	no	—
587	D₄×C₁₃	—	8	2	no	—
588	D₄×C₁₃	—	8	2	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	2	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	2	no	—
602	C₂×C₄×C₁₃	—	2	2	no	—
603	C₂×C₄×C₁₃	—	2	1	no	—
604	C₂×C₄×C₁₃	—	2	1	no	—
605	C₂×C₄×C₁₃	—	4	1	no	—
606	C₂×C₄×C₁₃	—	4	1	no	—
607	C₂×C₄×C₁₃	—	4	1	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	—	8	1	no	—
613	C₂×C₄×C₁₃	—	8	1	no	—
614	C₂×C₄×C₁₃	—	8	1	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	—	8	2	no	—
619	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
630	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
631	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
632	C₈×C₁₃	—	2	2	no	—
633	C₈×C₁₃	—	2	2	no	—
634	C₈×C₁₃	—	2	2	no	—
635	C₈×C₁₃	—	2	2	no	—
636	#559	—	2	1	no	—
637	#559	—	2	1	no	—
638	#550	—	2	1	no	—
639	#550	—	2	1	no	—
640	#546	—	2	1	no	—
641	#546	—	2	1	no	—
642	#546	—	2	1	no	—
643	#546	—	2	1	no	—
644	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	#542	—	2	1	no	—
646	#542	C₂²×C₁₃	1	1	yes	characteristic
647	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#540	—	2	1	no	—
649	#540	C₂²×C₁₃	1	1	yes	characteristic
650	#540	C₂²×C₁₃	1	2	yes	—
651	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#540	C₂²×C₁₃	1	2	yes	complemented
653	#538	—	2	1	no	—
654	#538	—	2	1	no	—
655	#537	C₂²×C₁₃	1	1	yes	characteristic
656	#535	C₂²×C₁₃	1	2	yes	—
657	#535	C₂²×C₁₃	1	1	yes	characteristic
658	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#532	—	2	1	no	—
661	#532	C₂²×C₁₃	1	1	yes	characteristic
662	#532	C₂²×C₁₃	1	1	yes	characteristic
663	#532	C₂²×C₁₃	1	1	yes	characteristic
664	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	#529	—	2	1	no	—
669	#529	C₂²×C₁₃	1	1	yes	characteristic
670	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	#525	—	2	1	no	—
672	#525	—	2	1	no	—
673	#518	C₂²×C₁₃	1	2	yes	complemented
674	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
675	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
676	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
677	#501	C₂²×C₁₃	1	2	yes	complemented
678	#499	C₂²×C₁₃	1	2	yes	complemented
679	#496	C₂²×C₁₃	1	2	yes	—
680	#493	C₂²×C₁₃	1	2	yes	—
681	#490	C₂²×C₁₃	1	2	yes	complemented
682	#490	C₂²×C₁₃	1	2	yes	complemented
683	#488	C₂²×C₁₃	1	2	yes	complemented
684	#486	C₂²×C₁₃	1	2	yes	complemented
685	#485	C₂²×C₁₃	1	2	yes	complemented
686	#482	C₂²×C₁₃	1	2	yes	—
687	#482	C₂²×C₁₃	1	2	yes	—
688	#482	C₂²×C₁₃	1	2	yes	complemented
689	#482	C₂²×C₁₃	1	2	yes	complemented
690	#482	C₂²×C₁₃	1	2	yes	complemented
691	#481	C₂²×C₁₃	1	2	yes	complemented
692	#480	C₂²×C₁₃	1	2	yes	complemented
693	#478	C₂²×C₁₃	1	2	yes	complemented
694	#478	C₂²×C₁₃	1	2	yes	complemented
695	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
698	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#476	C₂²×C₁₃	1	2	yes	complemented
700	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
703	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
704	#474	C₂²×C₁₃	1	2	yes	complemented
705	#469	C₂²×C₁₃	1	2	yes	complemented
706	#469	C₂²×C₁₃	1	2	yes	complemented
707	#469	C₂²×C₁₃	1	2	yes	complemented
708	#468	C₂²×C₁₃	1	2	yes	complemented
709	#466	C₂²×C₁₃	1	2	yes	complemented
710	#466	C₂²×C₁₃	1	2	yes	complemented
711	#466	C₂²×C₁₃	1	2	yes	complemented
712	#465	C₂²×C₁₃	1	2	yes	complemented
713	#463	C₂²×C₁₃	1	2	yes	complemented
714	#463	C₂²×C₁₃	1	2	yes	complemented
715	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
716	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	#459	C₂²×C₁₃	1	1	yes	characteristic
718	#459	C₂²×C₁₃	1	1	yes	characteristic
719	#459	C₂²×C₁₃	1	1	yes	characteristic
720	#459	C₂²×C₁₃	1	1	yes	characteristic
721	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#459	C₂²×C₁₃	1	2	yes	complemented
724	#459	C₂²×C₁₃	1	2	yes	complemented
725	#450	C₂²×C₁₃	1	2	yes	complemented
726	#449	C₂²×C₁₃	1	2	yes	complemented
727	#449	C₂²×C₁₃	1	2	yes	complemented
728	#447	C₂²×C₁₃	1	2	yes	—
729	#447	C₂²×C₁₃	1	2	yes	—
730	#447	C₂²×C₁₃	1	2	yes	complemented
731	#447	C₂²×C₁₃	1	2	yes	complemented
732	#447	C₂²×C₁₃	1	2	yes	complemented
733	#442	C₂²×C₁₃	1	2	yes	complemented
734	#442	C₂²×C₁₃	1	2	yes	complemented
735	#442	C₂²×C₁₃	1	2	yes	complemented
736	#440	C₂²×C₁₃	1	2	yes	complemented
737	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
738	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
739	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
740	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
741	#433	C₂²×C₁₃	1	2	yes	complemented
742	#433	C₂²×C₁₃	1	2	yes	complemented
743	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
744	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
745	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
746	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
747	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
748	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
749	#408	C₂²×C₁₃	1	2	yes	—
750	#405	C₂²×C₁₃	1	2	yes	complemented
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	—	2	1	no	—
758	C₂²×C₁₃	—	2	1	no	—
759	C₂²×C₁₃	—	2	1	no	—
760	C₂²×C₁₃	—	4	2	no	—
761	C₂²×C₁₃	—	4	2	no	—
762	C₂²×C₁₃	—	4	1	no	—
763	C₂²×C₁₃	—	4	1	no	—
764	C₂²×C₁₃	—	4	1	no	—
765	C₂²×C₁₃	—	4	1	no	—
766	C₂²×C₁₃	—	4	1	no	—
767	C₂²×C₁₃	—	4	1	no	—
768	C₂²×C₁₃	—	4	2	no	—
769	C₂²×C₁₃	—	4	2	no	—
770	C₂²×C₁₃	—	4	1	no	—
771	C₂²×C₁₃	—	4	1	no	—
772	C₂²×C₁₃	—	4	1	no	—
773	C₂²×C₁₃	—	4	2	no	—
774	C₂²×C₁₃	—	4	2	no	—
775	C₂²×C₁₃	—	8	4	no	—
776	C₂²×C₁₃	—	16	4	no	—
777	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
778	C₄×C₁₃	—	2	1	no	—
779	C₄×C₁₃	—	2	1	no	—
780	C₄×C₁₃	—	2	1	no	—
781	C₄×C₁₃	—	2	1	no	—
782	C₄×C₁₃	—	2	1	no	—
783	C₄×C₁₃	—	2	1	no	—
784	C₄×C₁₃	—	2	1	no	—
785	C₄×C₁₃	—	2	1	no	—
786	C₄×C₁₃	—	2	1	no	—
787	C₄×C₁₃	—	2	1	no	—
788	C₄×C₁₃	—	4	2	no	—
789	C₄×C₁₃	—	4	1	no	—
790	C₄×C₁₃	—	4	1	no	—
791	C₄×C₁₃	—	4	1	no	—
792	C₄×C₁₃	—	4	1	no	—
793	C₄×C₁₃	—	4	1	no	—
794	C₄×C₁₃	—	4	2	no	—
795	C₄×C₁₃	#576	1	2	yes	—
796	C₄×C₁₃	#585	1	1	yes	characteristic
797	C₄×C₁₃	#585	1	1	yes	characteristic
798	C₂×#41	—	2	1	no	—
799	C₂×#41	—	2	1	no	—
800	C₂×#41	—	2	1	no	—
801	C₂×#41	—	2	1	no	—
802	C₂×#41	—	2	1	no	—
803	C₂×#41	—	2	1	no	—
804	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
806	C₂²×D₄	—	2	1	no	—
807	C₂²×D₄	—	2	1	no	—
808	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
809	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
810	C₂³×C₄	—	2	1	no	—
811	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
812	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
813	C₂×D₈	C₂³×C₁₃	1	2	yes	—
814	C₂×D₈	C₂³×C₁₃	1	2	yes	—
815	C₂×D₈	C₂³×C₁₃	1	2	yes	—
816	C₂×D₈	C₂³×C₁₃	1	2	yes	—
817	C₂×D₈	C₂³×C₁₃	1	2	yes	—
818	C₂×D₈	C₂³×C₁₃	1	2	yes	—
819	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
820	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
821	C₄⋊Q₈	—	2	1	no	—
822	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	#127	—	2	1	no	—
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	#127	C₂³×C₁₃	1	1	yes	characteristic
834	#127	C₂³×C₁₃	1	1	yes	characteristic
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	C₂³×C₁₃	1	1	yes	characteristic
841	#125	C₂³×C₁₃	1	1	yes	characteristic
842	#125	C₂³×C₁₃	1	2	yes	—
843	#124	—	2	1	no	—
844	#124	—	2	2	no	—
845	#124	—	2	1	no	—
846	#124	—	2	1	no	—
847	#124	—	2	1	no	—
848	#124	—	2	1	no	—
849	#124	—	2	1	no	—
850	#124	—	2	1	no	—
851	#124	—	2	1	no	—
852	#124	—	2	1	no	—
853	#124	C₂³×C₁₃	1	1	yes	characteristic
854	#124	C₂³×C₁₃	1	1	yes	characteristic
855	#123	—	2	1	no	—
856	#123	—	2	1	no	—
857	#123	—	2	1	no	—
858	#123	—	2	1	no	—
859	#123	—	2	1	no	—
860	#123	—	2	1	no	—
861	#123	—	2	2	no	—
862	#123	—	2	2	no	—
863	#123	—	2	2	no	—
864	#123	—	2	2	no	—
865	#123	—	2	1	no	—
866	#123	—	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	#121	—	2	1	no	—
877	#121	—	2	1	no	—
878	#121	—	2	1	no	—
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	1	no	—
888	#121	—	2	1	no	—
889	#121	—	2	1	no	—
890	#121	—	2	1	no	—
891	#121	—	2	2	no	—
892	#121	—	2	2	no	—
893	#121	—	2	2	no	—
894	#121	—	2	2	no	—
895	#121	C₂³×C₁₃	1	1	yes	characteristic
896	#121	C₂³×C₁₃	1	1	yes	characteristic
897	#121	C₂³×C₁₃	1	2	yes	—
898	#121	C₂³×C₁₃	1	2	yes	—
899	#121	C₂³×C₁₃	1	1	yes	characteristic
900	#121	C₂³×C₁₃	1	1	yes	characteristic
901	#121	C₂³×C₁₃	1	2	yes	—
902	#121	C₂³×C₁₃	1	2	yes	—
903	#121	C₂³×C₁₃	1	1	yes	characteristic
904	#121	C₂³×C₁₃	1	1	yes	characteristic
905	#120	—	2	1	no	—
906	#120	—	2	1	no	—
907	#120	—	2	2	no	—
908	#120	—	2	2	no	—
909	#120	—	2	1	no	—
910	#120	—	2	1	no	—
911	C₄×Q₈	—	2	1	no	—
912	C₄×Q₈	—	2	1	no	—
913	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
914	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
915	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
916	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
917	C₄×D₄	—	2	1	no	—
918	C₄×D₄	—	2	1	no	—
919	C₄×D₄	—	2	1	no	—
920	C₄×D₄	—	2	1	no	—
921	C₄×D₄	—	2	2	no	—
922	C₄×D₄	—	2	2	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	—	2	1	no	—
931	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
932	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
933	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
934	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
935	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
936	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
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	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
941	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
942	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₄×D₄	C₂³×C₁₃	1	2	yes	—
944	C₄×D₄	C₂³×C₁₃	1	2	yes	—
945	C₄×D₄	C₂³×C₁₃	1	2	yes	—
946	C₄×D₄	C₂³×C₁₃	1	2	yes	—
947	#117	—	2	1	no	—
948	#117	—	2	1	no	—
949	#117	—	2	1	no	—
950	#117	C₂³×C₁₃	1	1	yes	characteristic
951	#117	C₂³×C₁₃	1	2	yes	—
952	#117	C₂³×C₁₃	1	1	yes	characteristic
953	#117	C₂³×C₁₃	1	1	yes	characteristic
954	#117	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
956	C₂×C₂²⋊C₄	—	2	1	no	—
957	C₂×C₂²⋊C₄	—	2	2	no	—
958	C₂×C₂²⋊C₄	—	2	2	no	—
959	C₂×C₄²	—	2	1	no	—
960	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
961	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
962	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
963	#107	C₂³×C₁₃	1	2	yes	—
964	#107	C₂³×C₁₃	1	2	yes	—
965	#107	C₂³×C₁₃	1	2	yes	—
966	#107	C₂³×C₁₃	1	2	yes	—
967	#106	C₂³×C₁₃	1	2	yes	—
968	#106	C₂³×C₁₃	1	2	yes	—
969	#106	C₂³×C₁₃	1	2	yes	—
970	#106	C₂³×C₁₃	1	2	yes	—
971	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
972	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
973	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
974	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
975	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
976	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
977	#103	C₂³×C₁₃	1	2	yes	—
978	#103	C₂³×C₁₃	1	2	yes	—
979	#102	C₂³×C₁₃	1	2	yes	—
980	#102	C₂³×C₁₃	1	2	yes	—
981	#102	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	#102	C₂³×C₁₃	1	2	yes	—
992	#102	C₂³×C₁₃	1	2	yes	—
993	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
994	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
995	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
996	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
997	#97	C₂³×C₁₃	1	2	yes	—
998	#97	C₂³×C₁₃	1	2	yes	—
999	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1000	C₄×C₈	C₂³×C₁₃	1	2	yes	—
1001	C₂×C₁₃	—	4	1	no	—
1002	C₂×C₁₃	—	4	1	no	—
1003	C₂×C₁₃	—	4	1	no	—
1004	C₂×C₁₃	—	8	1	no	—
1005	C₂×C₁₃	—	8	1	no	—
1006	C₂×C₁₃	—	8	1	no	—
1007	C₂×C₁₃	—	8	2	no	—
1008	C₂×C₁₃	—	8	2	no	—
1009	C₂×C₁₃	#3449	1	1	yes	characteristic
1010	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1011	C₂×C₁₃	#3585	1	1	yes	characteristic
1012	C₂⁴	—	2	2	no	—
1013	C₂⁴	—	2	1	no	—
1014	#41	—	4	1	no	—
1015	#41	—	4	1	no	—
1016	#41	—	4	1	no	—
1017	#41	—	4	1	no	—
1018	#41	—	8	2	no	—
1019	#41	—	8	2	no	—
1020	#41	—	8	2	no	—
1021	#41	—	8	2	no	—
1022	#41	—	8	2	no	—
1023	#41	—	8	2	no	—
1024	C₂×Q₈	—	2	1	no	—
1025	C₂×Q₈	—	2	1	no	—
1026	C₂×Q₈	—	2	1	no	—
1027	C₂×Q₈	—	2	1	no	—
1028	C₂×Q₈	C₂×D₄×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	1	no	—
1040	C₂×D₄	—	2	1	no	—
1041	C₂×D₄	—	2	1	no	—
1042	C₂×D₄	—	2	2	no	—
1043	C₂×D₄	—	2	1	no	—
1044	C₂×D₄	—	2	1	no	—
1045	C₂×D₄	—	2	1	no	—
1046	C₂×D₄	—	2	1	no	—
1047	C₂×D₄	—	2	1	no	—
1048	C₂×D₄	—	2	1	no	—
1049	C₂×D₄	—	2	1	no	—
1050	C₂×D₄	—	2	1	no	—
1051	C₂×D₄	—	2	2	no	—
1052	C₂×D₄	—	2	2	no	—
1053	C₂×D₄	—	4	2	no	—
1054	C₂×D₄	—	4	2	no	—
1055	C₂×D₄	—	4	1	no	—
1056	C₂×D₄	—	4	1	no	—
1057	C₂×D₄	—	8	2	no	—
1058	C₂×D₄	—	8	2	no	—
1059	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1060	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1063	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1064	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1066	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1067	C₂²×C₄	—	2	1	no	—
1068	C₂²×C₄	—	2	1	no	—
1069	C₂²×C₄	—	2	1	no	—
1070	C₂²×C₄	—	2	1	no	—
1071	C₂²×C₄	—	2	1	no	—
1072	C₂²×C₄	—	2	1	no	—
1073	C₂²×C₄	—	2	2	no	—
1074	C₂²×C₄	—	2	2	no	—
1075	C₂²×C₄	—	2	2	no	—
1076	C₂²×C₄	—	2	2	no	—
1077	C₂²×C₄	—	2	1	no	—
1078	C₂²×C₄	—	2	1	no	—
1079	C₂²×C₄	—	8	2	no	—
1080	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1081	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1088	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1089	SD₁₆	—	4	2	no	—
1090	SD₁₆	—	4	2	no	—
1091	D₈	—	4	2	no	—
1092	D₈	—	4	2	no	—
1093	D₈	—	4	2	no	—
1094	D₈	—	4	2	no	—
1095	D₈	—	4	2	no	—
1096	D₈	—	4	2	no	—
1097	M₁₆	—	4	2	no	—
1098	C₂×C₈	—	4	2	no	—
1099	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1100	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1101	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1102	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
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	2	no	—
1117	C₄⋊C₄	—	2	2	no	—
1118	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁴×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	2	yes	—
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	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	1	no	—
1139	C₂²⋊C₄	—	2	1	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	1	no	—
1149	C₂²⋊C₄	—	2	1	no	—
1150	C₂²⋊C₄	—	2	1	no	—
1151	C₂²⋊C₄	—	2	1	no	—
1152	C₂²⋊C₄	—	2	2	no	—
1153	C₂²⋊C₄	—	2	2	no	—
1154	C₂²⋊C₄	—	2	2	no	—
1155	C₂²⋊C₄	—	2	2	no	—
1156	C₂²⋊C₄	—	2	1	no	—
1157	C₂²⋊C₄	—	2	1	no	—
1158	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1159	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1160	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1161	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1162	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1163	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	#60990	1	1	yes	characteristic, direct product factor, Sylow
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	2	no	—
1183	C₂³	—	2	2	no	—
1184	C₂³	—	4	2	no	—
1185	C₂³	—	4	4	no	—
1186	C₂³	—	8	1	no	—
1187	C₂³	—	8	1	no	—
1188	C₂³	—	8	2	no	—
1189	C₂³	—	8	2	no	—
1190	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1191	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1192	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1193	Q₈	—	2	1	no	—
1194	Q₈	—	2	1	no	—
1195	Q₈	—	4	1	no	—
1196	Q₈	—	4	2	no	—
1197	Q₈	—	4	2	no	—
1198	Q₈	—	8	1	no	—
1199	Q₈	—	8	1	no	—
1200	D₄	—	2	1	no	—
1201	D₄	—	2	1	no	—
1202	D₄	—	2	1	no	—
1203	D₄	—	2	1	no	—
1204	D₄	—	2	2	no	—
1205	D₄	—	2	2	no	—
1206	D₄	—	2	1	no	—
1207	D₄	—	2	1	no	—
1208	D₄	—	2	2	no	—
1209	D₄	—	2	2	no	—
1210	D₄	—	4	1	no	—
1211	D₄	—	4	1	no	—
1212	D₄	—	4	1	no	—
1213	D₄	—	4	2	no	—
1214	D₄	—	4	4	no	—
1215	D₄	—	4	2	no	—
1216	D₄	—	4	2	no	—
1217	D₄	—	4	2	no	—
1218	D₄	—	4	2	no	—
1219	D₄	—	4	2	no	—
1220	D₄	—	8	2	no	—
1221	D₄	—	8	2	no	—
1222	D₄	—	8	1	no	—
1223	D₄	—	8	1	no	—
1224	D₄	—	8	1	no	—
1225	D₄	—	8	1	no	—
1226	D₄	—	8	1	no	—
1227	D₄	—	8	1	no	—
1228	D₄	—	8	1	no	—
1229	D₄	—	8	1	no	—
1230	D₄	—	8	1	no	—
1231	D₄	—	8	1	no	—
1232	D₄	—	8	2	no	—
1233	D₄	—	8	2	no	—
1234	D₄	—	8	2	no	—
1235	D₄	—	8	2	no	—
1236	C₂×C₄	—	2	2	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	2	1	no	—
1244	C₂×C₄	—	2	1	no	—
1245	C₂×C₄	—	2	1	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	4	1	no	—
1253	C₂×C₄	—	4	1	no	—
1254	C₂×C₄	—	4	1	no	—
1255	C₂×C₄	—	4	2	no	—
1256	C₂×C₄	—	4	2	no	—
1257	C₂×C₄	—	4	2	no	—
1258	C₂×C₄	—	4	2	no	—
1259	C₂×C₄	—	8	1	no	—
1260	C₂×C₄	—	8	1	no	—
1261	C₂×C₄	—	8	1	no	—
1262	C₂×C₄	—	8	2	no	—
1263	C₂×C₄	—	8	2	no	—
1264	C₂×C₄	—	8	2	no	—
1265	C₂×C₄	—	8	2	no	—
1266	C₂×C₄	—	8	1	no	—
1267	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1268	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1269	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1270	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1271	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1272	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1273	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1274	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1275	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1276	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1277	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1278	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1279	C₈	—	2	2	no	—
1280	C₈	—	2	2	no	—
1281	C₈	—	2	2	no	—
1282	C₈	—	2	2	no	—
1283	C₂²	—	2	1	no	—
1284	C₂²	—	2	1	no	—
1285	C₂²	—	2	1	no	—
1286	C₂²	—	2	1	no	—
1287	C₂²	—	2	1	no	—
1288	C₂²	—	2	1	no	—
1289	C₂²	—	2	1	no	—
1290	C₂²	—	2	1	no	—
1291	C₂²	—	2	1	no	—
1292	C₂²	—	4	1	no	—
1293	C₂²	—	4	1	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	2	no	—
1296	C₂²	—	4	2	no	—
1297	C₂²	—	4	2	no	—
1298	C₂²	—	4	2	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	2	no	—
1306	C₂²	—	4	2	no	—
1307	C₂²	—	8	4	no	—
1308	C₂²	—	16	4	no	—
1309	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1310	C₄	—	2	1	no	—
1311	C₄	—	2	1	no	—
1312	C₄	—	2	1	no	—
1313	C₄	—	2	1	no	—
1314	C₄	—	2	1	no	—
1315	C₄	—	2	1	no	—
1316	C₄	—	2	1	no	—
1317	C₄	—	2	1	no	—
1318	C₄	—	2	1	no	—
1319	C₄	—	2	1	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	—	4	2	no	—
1324	C₄	—	4	2	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	C₁₃×#576	1	2	yes	—
1328	C₄	C₁₃×#585	1	1	yes	characteristic
1329	C₄	C₁₃×#585	1	1	yes	characteristic
1330	C₂	—	4	1	no	—
1331	C₂	—	4	1	no	—
1332	C₂	—	4	1	no	—
1333	C₂	—	8	1	no	—
1334	C₂	—	8	1	no	—
1335	C₂	—	8	2	no	—
1336	C₂	—	8	2	no	—
1337	C₂	—	8	1	no	—
1338	C₂	C₁₃×#3449	1	1	yes	characteristic
1339	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1340	C₂	C₁₃×#3585	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×#3460	C₂	semidirect
3. C₁₃×#3253	C₂	semidirect
4. C₁₃×#3251	C₂	semidirect
5. C₁₃×#3247	C₂	semidirect
6. C₁₃×#3245	C₂	semidirect
7. C₁₃×#3241	C₂	semidirect
8. C₁₃×#3235	C₂	semidirect
9. C₁₃×#3233	C₂	semidirect
10. C₁₃×#3220	C₂	semidirect
11. C₁₃×#3217	C₂	semidirect
12. C₁₃×#3205	C₂	semidirect
13. C₁₃×#3199	C₂	semidirect
14. C₁₃×#3198	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3176	C₂	semidirect
17. C₁₃×#3122	C₂	semidirect
18. C₁₃×#3118	C₂	semidirect
19. C₁₃×#3115	C₂	semidirect
20. C₁₃×#3109	C₂	semidirect
21. C₁₃×#3106	C₂	semidirect
22. C₁₃×#3100	C₂	semidirect
23. C₁₃×#2925	C₂	semidirect
32. C₁₃×#544	C₂²	semidirect
35. C₁₃×#542	C₂²	semidirect
39. C₁₃×#540	C₂²	semidirect
40. C₁₃×#540	C₂²	semidirect
46. C₁₃×#535	C₂²	semidirect
47. C₁₃×#533	C₂²	semidirect
52. C₁₃×#532	C₂²	semidirect
53. C₁₃×#532	C₂²	semidirect
54. C₁₃×#532	C₂²	semidirect
55. C₂×C₁₃×#127	C₂²	semidirect
58. C₁₃×#529	C₂²	semidirect
61. C₁₃×#518	C₂²	semidirect
63. C₄×C₁₃×#41	C₂²	semidirect
64. C₂×C₄×D₄×C₁₃	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
69. C₁₃×#490	C₂²	semidirect
70. C₁₃×#490	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
72. C₁₃×#486	C₂²	semidirect
73. C₁₃×#485	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
77. C₁₃×#482	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#478	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#477	C₂²	semidirect
84. C₁₃×#476	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#476	C₂²	semidirect
87. C₁₃×#476	C₂²	semidirect
88. C₁₃×#475	C₂²	semidirect
89. C₁₃×#474	C₂²	semidirect
90. C₁₃×#474	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
92. C₁₃×#474	C₂²	semidirect
93. C₁₃×#469	C₂²	semidirect
94. C₁₃×#469	C₂²	semidirect
95. C₁₃×#469	C₂²	semidirect
96. C₁₃×#468	C₂²	semidirect
97. C₁₃×#466	C₂²	semidirect
98. C₁₃×#466	C₂²	semidirect
99. C₁₃×#466	C₂²	semidirect
100. C₁₃×#465	C₂²	semidirect
101. C₁₃×#463	C₂²	semidirect
102. C₁₃×#463	C₂²	semidirect
103. C₁₃×#460	C₂²	semidirect
104. C₁₃×#460	C₂²	semidirect
109. C₁₃×#459	C₂²	semidirect
110. C₁₃×#459	C₂²	semidirect
111. C₁₃×#459	C₂²	semidirect
112. C₁₃×#459	C₂²	semidirect
113. C₁₃×#450	C₂²	semidirect
114. C₁₃×#449	C₂²	semidirect
115. C₁₃×#449	C₂²	semidirect
118. C₁₃×#447	C₂²	semidirect
119. C₁₃×#447	C₂²	semidirect
120. C₁₃×#447	C₂²	semidirect
121. C₁₃×#442	C₂²	semidirect
122. C₁₃×#442	C₂²	semidirect
123. C₁₃×#442	C₂²	semidirect
124. C₁₃×#440	C₂²	semidirect
125. C₄×C₁₃×SD₁₆	C₂²	semidirect
126. C₄×C₁₃×D₈	C₂²	semidirect
127. C₄×C₁₃×D₈	C₂²	semidirect
128. C₄×C₁₃×D₈	C₂²	semidirect
129. C₁₃×#433	C₂²	semidirect
130. C₁₃×#433	C₂²	semidirect
131. C₁₃×#432	C₂²	semidirect
132. C₁₃×#432	C₂²	semidirect
133. C₁₃×#431	C₂²	semidirect
134. C₁₃×#431	C₂²	semidirect
135. C₁₃×#423	C₂²	semidirect
136. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60990	C₁₃	direct (N × H)
509. #3508	C₂×C₁₃	semidirect
510. #3460	C₂×C₁₃	semidirect
511. #3253	C₂×C₁₃	semidirect
512. #3251	C₂×C₁₃	semidirect
513. #3247	C₂×C₁₃	semidirect
514. #3245	C₂×C₁₃	semidirect
515. #3241	C₂×C₁₃	semidirect
516. #3235	C₂×C₁₃	semidirect
517. #3233	C₂×C₁₃	semidirect
518. #3220	C₂×C₁₃	semidirect
519. #3217	C₂×C₁₃	semidirect
520. #3205	C₂×C₁₃	semidirect
521. #3199	C₂×C₁₃	semidirect
522. #3198	C₂×C₁₃	semidirect
523. #3179	C₂×C₁₃	semidirect
524. #3176	C₂×C₁₃	semidirect
525. #3122	C₂×C₁₃	semidirect
526. #3118	C₂×C₁₃	semidirect
527. #3115	C₂×C₁₃	semidirect
528. #3109	C₂×C₁₃	semidirect
529. #3106	C₂×C₁₃	semidirect
530. #3100	C₂×C₁₃	semidirect
531. #2925	C₂×C₁₃	semidirect
644. #544	C₂²×C₁₃	semidirect
647. #542	C₂²×C₁₃	semidirect
651. #540	C₂²×C₁₃	semidirect
652. #540	C₂²×C₁₃	semidirect
658. #535	C₂²×C₁₃	semidirect
659. #533	C₂²×C₁₃	semidirect
664. #532	C₂²×C₁₃	semidirect
665. #532	C₂²×C₁₃	semidirect
666. #532	C₂²×C₁₃	semidirect
667. C₂×#127	C₂²×C₁₃	semidirect
670. #529	C₂²×C₁₃	semidirect
673. #518	C₂²×C₁₃	semidirect
675. C₄×#41	C₂²×C₁₃	semidirect
676. C₂×C₄×D₄	C₂²×C₁₃	semidirect
677. #501	C₂²×C₁₃	semidirect
678. #499	C₂²×C₁₃	semidirect
681. #490	C₂²×C₁₃	semidirect
682. #490	C₂²×C₁₃	semidirect
683. #488	C₂²×C₁₃	semidirect
684. #486	C₂²×C₁₃	semidirect
685. #485	C₂²×C₁₃	semidirect
688. #482	C₂²×C₁₃	semidirect
689. #482	C₂²×C₁₃	semidirect
690. #482	C₂²×C₁₃	semidirect
691. #481	C₂²×C₁₃	semidirect
692. #480	C₂²×C₁₃	semidirect
693. #478	C₂²×C₁₃	semidirect
694. #478	C₂²×C₁₃	semidirect
695. #477	C₂²×C₁₃	semidirect
696. #476	C₂²×C₁₃	semidirect
697. #476	C₂²×C₁₃	semidirect
698. #476	C₂²×C₁₃	semidirect
699. #476	C₂²×C₁₃	semidirect
700. #475	C₂²×C₁₃	semidirect
701. #474	C₂²×C₁₃	semidirect
702. #474	C₂²×C₁₃	semidirect
703. #474	C₂²×C₁₃	semidirect
704. #474	C₂²×C₁₃	semidirect
705. #469	C₂²×C₁₃	semidirect
706. #469	C₂²×C₁₃	semidirect
707. #469	C₂²×C₁₃	semidirect
708. #468	C₂²×C₁₃	semidirect
709. #466	C₂²×C₁₃	semidirect
710. #466	C₂²×C₁₃	semidirect
711. #466	C₂²×C₁₃	semidirect
712. #465	C₂²×C₁₃	semidirect
713. #463	C₂²×C₁₃	semidirect
714. #463	C₂²×C₁₃	semidirect
715. #460	C₂²×C₁₃	semidirect
716. #460	C₂²×C₁₃	semidirect
721. #459	C₂²×C₁₃	semidirect
722. #459	C₂²×C₁₃	semidirect
723. #459	C₂²×C₁₃	semidirect
724. #459	C₂²×C₁₃	semidirect
725. #450	C₂²×C₁₃	semidirect
726. #449	C₂²×C₁₃	semidirect
727. #449	C₂²×C₁₃	semidirect
730. #447	C₂²×C₁₃	semidirect
731. #447	C₂²×C₁₃	semidirect
732. #447	C₂²×C₁₃	semidirect
733. #442	C₂²×C₁₃	semidirect
734. #442	C₂²×C₁₃	semidirect
735. #442	C₂²×C₁₃	semidirect
736. #440	C₂²×C₁₃	semidirect
737. C₄×SD₁₆	C₂²×C₁₃	semidirect
738. C₄×D₈	C₂²×C₁₃	semidirect
739. C₄×D₈	C₂²×C₁₃	semidirect
740. C₄×D₈	C₂²×C₁₃	semidirect
741. #433	C₂²×C₁₃	semidirect
742. #433	C₂²×C₁₃	semidirect
743. #432	C₂²×C₁₃	semidirect
744. #432	C₂²×C₁₃	semidirect
745. #431	C₂²×C₁₃	semidirect
746. #431	C₂²×C₁₃	semidirect
747. #423	C₂²×C₁₃	semidirect
748. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
750. #405	C₂²×C₁₃	semidirect
1178. C₁₃	#60990	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×#3460	2
C₁₃×#3253	2
C₁₃×#3251	2
C₁₃×#3247	2
C₁₃×#3245	2
C₁₃×#3241	2
C₁₃×#3235	2
C₁₃×#3233	2
C₁₃×#3220	2
C₁₃×#3217	2
C₁₃×#3205	2
C₁₃×#3199	2
C₁₃×#3198	2
C₁₃×#3179	2
C₁₃×#3176	2
C₁₃×#3122	2
C₁₃×#3118	2
C₁₃×#3115	2
C₁₃×#3109	2
C₁₃×#3106	2
C₁₃×#3100	2
C₁₃×#2925	2
#60990	13

Subgroups — C13×#60990 #15747329

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60990 #15747329