Subgroups — C₁₃×#62125 #15748464

Order 3328.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3481	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3389	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3346	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3339	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3245	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3239	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#474	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	C₂²	1	1	yes	characteristic
25	C₁₃×#556	—	2	1	no	—
26	C₁₃×#555	C₂²	1	2	yes	complemented
27	C₁₃×#554	C₂²	1	1	yes	characteristic
28	C₁₃×#554	C₂²	1	1	yes	characteristic
29	C₁₃×#554	C₂²	1	2	yes	complemented
30	C₁₃×#553	—	2	1	no	—
31	C₁₃×#553	C₂²	1	2	yes	—
32	C₁₃×#553	C₂²	1	1	yes	characteristic
33	C₁₃×#553	C₂²	1	1	yes	characteristic
34	C₁₃×#553	C₂²	1	2	yes	complemented
35	C₁₃×#551	—	2	1	no	—
36	C₁₃×#551	—	2	1	no	—
37	C₁₃×#548	—	2	1	no	—
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#547	—	2	1	no	—
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#537	—	2	1	no	—
47	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#529	—	2	1	no	—
55	C₁₃×#529	C₂²	1	1	yes	characteristic
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₁₃×#525	—	2	1	no	—
58	C₁₃×#525	—	2	1	no	—
59	C₁₃×#520	—	2	1	no	—
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₁₃	—	2	1	no	—
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#501	C₂²	1	2	yes	complemented
67	C₁₃×#499	C₂²	1	2	yes	complemented
68	C₁₃×#490	C₂²	1	2	yes	—
69	C₁₃×#489	C₂²	1	2	yes	complemented
70	C₁₃×#488	C₂²	1	2	yes	complemented
71	C₁₃×#485	C₂²	1	2	yes	complemented
72	C₁₃×#484	C₂²	1	2	yes	complemented
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#482	C₂²	1	2	yes	complemented
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#481	C₂²	1	2	yes	—
78	C₁₃×#481	C₂²	1	2	yes	complemented
79	C₁₃×#480	C₂²	1	2	yes	complemented
80	C₁₃×#479	C₂²	1	2	yes	complemented
81	C₁₃×#478	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	2	yes	—
83	C₁₃×#478	C₂²	1	2	yes	complemented
84	C₁₃×#478	C₂²	1	2	yes	complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#476	C₂²	1	1	yes	characteristic
88	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#474	C₂²	1	2	yes	—
93	C₁₃×#474	C₂²	1	1	yes	characteristic
94	C₁₃×#474	C₂²	1	1	yes	characteristic
95	C₁₃×#474	C₂²	1	2	yes	complemented
96	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#474	C₂²	1	2	yes	complemented
100	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#469	C₂²	1	2	yes	—
102	C₁₃×#468	C₂²	1	2	yes	complemented
103	C₁₃×#466	C₂²	1	2	yes	—
104	C₁₃×#466	C₂²	1	2	yes	complemented
105	C₁₃×#466	C₂²	1	2	yes	complemented
106	C₁₃×#465	C₂²	1	2	yes	complemented
107	C₁₃×#463	C₂²	1	2	yes	complemented
108	C₁₃×#463	C₂²	1	2	yes	complemented
109	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#459	C₂²	1	2	yes	—
111	C₁₃×#459	C₂²	1	1	yes	characteristic
112	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#449	C₂²	1	2	yes	—
115	C₁₃×#447	C₂²	1	2	yes	—
116	C₁₃×#447	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	complemented
118	C₁₃×#442	C₂²	1	2	yes	—
119	C₁₃×#442	C₂²	1	2	yes	—
120	C₁₃×#442	C₂²	1	2	yes	complemented
121	C₁₃×#440	C₂²	1	2	yes	complemented
122	C₄×C₁₃×D₈	C₂²	1	2	yes	—
123	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
127	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#428	C₂²	1	2	yes	complemented
131	C₁₃×#427	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
133	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#418	C₂²	1	2	yes	—
137	C₁₃×#416	C₂²	1	2	yes	—
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	—	2	1	no	—
143	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂²×Q₈×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	—	2	1	no	—
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃	—	2	1	no	—
150	C₂³×C₄×C₁₃	—	2	1	no	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×#127	C₂³	1	1	yes	characteristic
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#126	—	2	1	no	—
168	C₁₃×#126	—	2	1	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	C₂³	1	2	yes	—
175	C₁₃×#125	C₂³	1	2	yes	—
176	C₁₃×#125	C₂³	1	1	yes	characteristic
177	C₁₃×#125	C₂³	1	1	yes	characteristic
178	C₁₃×#124	—	2	1	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	C₂³	1	1	yes	characteristic
186	C₁₃×#124	C₂³	1	1	yes	characteristic
187	C₁₃×#123	—	2	1	no	—
188	C₁₃×#123	—	2	1	no	—
189	C₁₃×#123	—	2	1	no	—
190	C₁₃×#123	—	2	1	no	—
191	C₁₃×#123	—	2	1	no	—
192	C₁₃×#123	—	2	1	no	—
193	C₁₃×#123	—	2	1	no	—
194	C₁₃×#123	—	2	1	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	1	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	1	no	—
203	C₁₃×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
210	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	1	no	—
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	C₂³	1	2	yes	—
224	C₁₃×#121	C₂³	1	2	yes	—
225	C₁₃×#121	C₂³	1	2	yes	—
226	C₁₃×#121	C₂³	1	1	yes	characteristic
227	C₁₃×#121	C₂³	1	1	yes	characteristic
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	1	yes	characteristic
230	C₁₃×#120	—	2	1	no	—
231	C₁₃×#120	—	2	1	no	—
232	C₁₃×#120	—	2	1	no	—
233	C₁₃×#120	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	—	2	1	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	no	—
238	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	2	no	—
251	C₄×D₄×C₁₃	—	2	2	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
261	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
262	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	2	yes	—
267	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	2	yes	—
270	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
275	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
277	C₁₃×#117	—	2	2	no	—
278	C₁₃×#117	—	2	1	no	—
279	C₁₃×#117	—	2	1	no	—
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	D₄	1	1	yes	characteristic
282	C₁₃×#117	D₄	1	1	yes	characteristic
283	C₁₃×#117	D₄	1	1	yes	characteristic
284	C₁₃×#117	C₂³	1	2	yes	—
285	C₁₃×#117	C₂³	1	2	yes	—
286	C₁₃×#117	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
288	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
289	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
297	C₂×C₄²×C₁₃	—	2	1	no	—
298	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₁₃×#107	C₂³	1	2	yes	—
302	C₁₃×#107	C₂³	1	2	yes	—
303	C₁₃×#107	C₂³	1	2	yes	—
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×#106	C₂³	1	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
314	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
315	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
316	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
317	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#103	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×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₁₃×#97	C₂³	1	2	yes	—
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62125	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₁₃×#41	—	2	2	no	—
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	4	1	no	—
348	C₁₃×#41	—	4	4	no	—
349	C₁₃×#41	—	8	2	no	—
350	C₁₃×#41	—	8	2	no	—
351	C₁₃×#41	—	8	2	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	2	1	no	—
355	C₂×Q₈×C₁₃	—	2	1	no	—
356	C₂×Q₈×C₁₃	—	2	2	no	—
357	C₂×Q₈×C₁₃	—	8	2	no	—
358	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×D₄×C₁₃	—	2	2	no	—
361	C₂×D₄×C₁₃	—	2	2	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	2	no	—
369	C₂×D₄×C₁₃	—	2	2	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	1	no	—
374	C₂×D₄×C₁₃	—	2	1	no	—
375	C₂×D₄×C₁₃	—	2	1	no	—
376	C₂×D₄×C₁₃	—	4	1	no	—
377	C₂×D₄×C₁₃	—	4	1	no	—
378	C₂×D₄×C₁₃	—	4	4	no	—
379	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
380	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
381	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
385	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	—	2	1	no	—
387	C₂²×C₄×C₁₃	—	2	1	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	1	no	—
390	C₂²×C₄×C₁₃	—	2	1	no	—
391	C₂²×C₄×C₁₃	—	2	1	no	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	2	1	no	—
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	2	no	—
398	C₂²×C₄×C₁₃	—	2	2	no	—
399	C₂²×C₄×C₁₃	—	2	1	no	—
400	C₂²×C₄×C₁₃	—	2	1	no	—
401	C₂²×C₄×C₁₃	—	8	2	no	—
402	C₂²×C₄×C₁₃	—	8	2	no	—
403	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₁₃×SD₁₆	—	4	2	no	—
413	C₁₃×D₈	—	2	4	no	—
414	C₁₃×D₈	—	4	2	no	—
415	C₁₃×D₈	—	4	2	no	—
416	C₁₃×M₁₆	—	4	2	no	—
417	C₂×C₈×C₁₃	—	4	2	no	—
418	C₂×C₈×C₁₃	—	4	2	no	—
419	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
420	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
421	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
422	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	2	no	—
430	C₁₃×C₄⋊C₄	—	2	2	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
442	C₁₃×C₄⋊C₄	—	2	2	no	—
443	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
450	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
451	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
454	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	no	—
458	C₁₃×C₂²⋊C₄	—	2	1	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	2	no	—
461	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
480	C₁₃×C₂²⋊C₄	—	2	2	no	—
481	C₁₃×C₂²⋊C₄	—	2	2	no	—
482	C₁₃×C₂²⋊C₄	—	2	2	no	—
483	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	—	2	1	no	—
491	C₄²×C₁₃	—	2	1	no	—
492	C₄²×C₁₃	—	2	2	no	—
493	C₄²×C₁₃	—	2	2	no	—
494	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
504	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3481	C₂×C₁₃	1	1	yes	characteristic, complemented
506	#3389	C₂×C₁₃	1	2	yes	complemented
507	#3370	C₂×C₁₃	1	2	yes	complemented
508	#3347	C₂×C₁₃	1	2	yes	complemented
509	#3346	C₂×C₁₃	1	2	yes	complemented
510	#3339	C₂×C₁₃	1	2	yes	complemented
511	#3319	C₂×C₁₃	1	2	yes	complemented
512	#3318	C₂×C₁₃	1	2	yes	complemented
513	#3297	C₂×C₁₃	1	2	yes	complemented
514	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3245	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3239	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
524	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
525	C₂×#474	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
527	C₂³×C₁₃	—	2	1	no	—
528	C₂³×C₁₃	—	2	2	no	—
529	C₂³×C₁₃	—	2	1	no	—
530	C₂³×C₁₃	—	2	1	no	—
531	C₂³×C₁₃	—	4	2	no	—
532	C₂³×C₁₃	—	4	2	no	—
533	C₂³×C₁₃	—	4	2	no	—
534	C₂³×C₁₃	—	4	2	no	—
535	C₂³×C₁₃	—	8	1	no	—
536	C₂³×C₁₃	—	8	1	no	—
537	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	Q₈×C₁₃	—	2	1	no	—
541	Q₈×C₁₃	—	2	1	no	—
542	Q₈×C₁₃	—	4	1	no	—
543	Q₈×C₁₃	—	4	2	no	—
544	Q₈×C₁₃	—	4	2	no	—
545	Q₈×C₁₃	—	4	2	no	—
546	Q₈×C₁₃	—	8	2	no	—
547	Q₈×C₁₃	—	8	1	no	—
548	D₄×C₁₃	—	2	2	no	—
549	D₄×C₁₃	—	2	2	no	—
550	D₄×C₁₃	—	2	2	no	—
551	D₄×C₁₃	—	2	1	no	—
552	D₄×C₁₃	—	2	1	no	—
553	D₄×C₁₃	—	2	1	no	—
554	D₄×C₁₃	—	2	2	no	—
555	D₄×C₁₃	—	2	1	no	—
556	D₄×C₁₃	—	2	1	no	—
557	D₄×C₁₃	—	4	1	no	—
558	D₄×C₁₃	—	4	2	no	—
559	D₄×C₁₃	—	4	2	no	—
560	D₄×C₁₃	—	4	2	no	—
561	D₄×C₁₃	—	4	2	no	—
562	D₄×C₁₃	—	4	2	no	—
563	D₄×C₁₃	—	4	2	no	—
564	D₄×C₁₃	—	4	2	no	—
565	D₄×C₁₃	—	4	4	no	—
566	D₄×C₁₃	—	4	2	no	—
567	D₄×C₁₃	—	8	1	no	—
568	D₄×C₁₃	—	8	1	no	—
569	D₄×C₁₃	—	8	1	no	—
570	D₄×C₁₃	—	8	2	no	—
571	D₄×C₁₃	—	8	2	no	—
572	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
573	C₂×C₄×C₁₃	—	2	2	no	—
574	C₂×C₄×C₁₃	—	2	2	no	—
575	C₂×C₄×C₁₃	—	2	2	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	2	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	2	no	—
588	C₂×C₄×C₁₃	—	2	2	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	4	1	no	—
592	C₂×C₄×C₁₃	—	4	1	no	—
593	C₂×C₄×C₁₃	—	4	2	no	—
594	C₂×C₄×C₁₃	—	4	2	no	—
595	C₂×C₄×C₁₃	—	4	4	no	—
596	C₂×C₄×C₁₃	—	4	2	no	—
597	C₂×C₄×C₁₃	—	4	2	no	—
598	C₂×C₄×C₁₃	—	4	2	no	—
599	C₂×C₄×C₁₃	—	8	1	no	—
600	C₂×C₄×C₁₃	—	8	1	no	—
601	C₂×C₄×C₁₃	—	8	1	no	—
602	C₂×C₄×C₁₃	—	8	1	no	—
603	C₂×C₄×C₁₃	—	8	2	no	—
604	C₂×C₄×C₁₃	—	8	2	no	—
605	C₂×C₄×C₁₃	—	8	1	no	—
606	C₂×C₄×C₁₃	—	8	1	no	—
607	C₂×C₄×C₁₃	—	8	2	no	—
608	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
609	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
610	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
611	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
612	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
613	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
614	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
615	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
616	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
617	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
618	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
619	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
620	C₈×C₁₃	—	2	2	no	—
621	C₈×C₁₃	—	2	2	no	—
622	C₈×C₁₃	—	2	2	no	—
623	C₈×C₁₃	—	2	2	no	—
624	#559	C₂²×C₁₃	1	1	yes	characteristic
625	#556	—	2	1	no	—
626	#555	C₂²×C₁₃	1	2	yes	complemented
627	#554	C₂²×C₁₃	1	1	yes	characteristic
628	#554	C₂²×C₁₃	1	1	yes	characteristic
629	#554	C₂²×C₁₃	1	2	yes	complemented
630	#553	—	2	1	no	—
631	#553	C₂²×C₁₃	1	1	yes	characteristic
632	#553	C₂²×C₁₃	1	2	yes	—
633	#553	C₂²×C₁₃	1	1	yes	characteristic
634	#553	C₂²×C₁₃	1	2	yes	complemented
635	#551	—	2	1	no	—
636	#551	—	2	1	no	—
637	#548	—	2	1	no	—
638	#548	—	2	1	no	—
639	#547	—	2	1	no	—
640	#546	—	2	1	no	—
641	#546	C₂²×C₁₃	1	1	yes	characteristic
642	#546	C₂²×C₁₃	1	1	yes	characteristic
643	D₄²	C₂²×C₁₃	1	1	yes	characteristic
644	#542	—	2	1	no	—
645	#542	—	2	1	no	—
646	#537	—	2	1	no	—
647	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	#532	C₂²×C₁₃	1	1	yes	characteristic
650	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#529	—	2	1	no	—
655	#529	C₂²×C₁₃	1	1	yes	characteristic
656	#529	C₂²×C₁₃	1	1	yes	characteristic
657	#525	—	2	1	no	—
658	#525	—	2	1	no	—
659	#520	—	2	1	no	—
660	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
661	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
662	C₂×C₄×D₄	—	2	1	no	—
663	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
664	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
665	#501	C₂²×C₁₃	1	2	yes	complemented
666	#501	C₂²×C₁₃	1	2	yes	complemented
667	#499	C₂²×C₁₃	1	2	yes	complemented
668	#490	C₂²×C₁₃	1	2	yes	—
669	#489	C₂²×C₁₃	1	2	yes	complemented
670	#488	C₂²×C₁₃	1	2	yes	complemented
671	#485	C₂²×C₁₃	1	2	yes	complemented
672	#484	C₂²×C₁₃	1	2	yes	complemented
673	#482	C₂²×C₁₃	1	2	yes	—
674	#482	C₂²×C₁₃	1	2	yes	complemented
675	#482	C₂²×C₁₃	1	2	yes	complemented
676	#482	C₂²×C₁₃	1	2	yes	complemented
677	#481	C₂²×C₁₃	1	2	yes	—
678	#481	C₂²×C₁₃	1	2	yes	complemented
679	#480	C₂²×C₁₃	1	2	yes	complemented
680	#479	C₂²×C₁₃	1	2	yes	complemented
681	#478	C₂²×C₁₃	1	2	yes	—
682	#478	C₂²×C₁₃	1	2	yes	—
683	#478	C₂²×C₁₃	1	2	yes	complemented
684	#478	C₂²×C₁₃	1	2	yes	complemented
685	#478	C₂²×C₁₃	1	2	yes	complemented
686	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	#476	C₂²×C₁₃	1	1	yes	characteristic
688	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
692	#474	C₂²×C₁₃	1	1	yes	characteristic
693	#474	C₂²×C₁₃	1	1	yes	characteristic
694	#474	C₂²×C₁₃	1	2	yes	—
695	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
696	#474	C₂²×C₁₃	1	2	yes	complemented
697	#474	C₂²×C₁₃	1	2	yes	complemented
698	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	#469	C₂²×C₁₃	1	2	yes	—
702	#468	C₂²×C₁₃	1	2	yes	complemented
703	#466	C₂²×C₁₃	1	2	yes	—
704	#466	C₂²×C₁₃	1	2	yes	complemented
705	#466	C₂²×C₁₃	1	2	yes	complemented
706	#465	C₂²×C₁₃	1	2	yes	complemented
707	#463	C₂²×C₁₃	1	2	yes	complemented
708	#463	C₂²×C₁₃	1	2	yes	complemented
709	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#459	C₂²×C₁₃	1	1	yes	characteristic
711	#459	C₂²×C₁₃	1	2	yes	—
712	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#449	C₂²×C₁₃	1	2	yes	—
715	#447	C₂²×C₁₃	1	2	yes	—
716	#447	C₂²×C₁₃	1	2	yes	—
717	#446	C₂²×C₁₃	1	2	yes	complemented
718	#442	C₂²×C₁₃	1	2	yes	—
719	#442	C₂²×C₁₃	1	2	yes	—
720	#442	C₂²×C₁₃	1	2	yes	complemented
721	#440	C₂²×C₁₃	1	2	yes	complemented
722	C₄×D₈	C₂²×C₁₃	1	2	yes	—
723	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
724	#435	C₂²×C₁₃	1	2	yes	—
725	#435	C₂²×C₁₃	1	2	yes	complemented
726	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
727	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
730	#428	C₂²×C₁₃	1	2	yes	complemented
731	#427	C₂²×C₁₃	1	2	yes	complemented
732	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
733	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
734	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
735	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	#418	C₂²×C₁₃	1	2	yes	—
737	#416	C₂²×C₁₃	1	2	yes	—
738	C₂×#102	C₂²×C₁₃	1	2	yes	—
739	C₂²×C₁₃	—	2	1	no	—
740	C₂²×C₁₃	—	2	1	no	—
741	C₂²×C₁₃	—	2	1	no	—
742	C₂²×C₁₃	—	2	1	no	—
743	C₂²×C₁₃	—	2	2	no	—
744	C₂²×C₁₃	—	2	1	no	—
745	C₂²×C₁₃	—	2	1	no	—
746	C₂²×C₁₃	—	2	1	no	—
747	C₂²×C₁₃	—	2	1	no	—
748	C₂²×C₁₃	—	4	1	no	—
749	C₂²×C₁₃	—	4	1	no	—
750	C₂²×C₁₃	—	4	1	no	—
751	C₂²×C₁₃	—	4	1	no	—
752	C₂²×C₁₃	—	4	2	no	—
753	C₂²×C₁₃	—	4	2	no	—
754	C₂²×C₁₃	—	4	1	no	—
755	C₂²×C₁₃	—	4	1	no	—
756	C₂²×C₁₃	—	4	1	no	—
757	C₂²×C₁₃	—	4	1	no	—
758	C₂²×C₁₃	—	4	2	no	—
759	C₂²×C₁₃	—	8	4	no	—
760	C₂²×C₁₃	—	8	4	no	—
761	C₂²×C₁₃	#575	1	2	yes	—
762	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
763	C₄×C₁₃	—	2	1	no	—
764	C₄×C₁₃	—	2	1	no	—
765	C₄×C₁₃	—	2	1	no	—
766	C₄×C₁₃	—	2	1	no	—
767	C₄×C₁₃	—	2	1	no	—
768	C₄×C₁₃	—	2	1	no	—
769	C₄×C₁₃	—	2	1	no	—
770	C₄×C₁₃	—	2	1	no	—
771	C₄×C₁₃	—	2	1	no	—
772	C₄×C₁₃	—	2	1	no	—
773	C₄×C₁₃	—	4	1	no	—
774	C₄×C₁₃	—	4	1	no	—
775	C₄×C₁₃	—	4	2	no	—
776	C₄×C₁₃	—	4	1	no	—
777	C₄×C₁₃	—	4	1	no	—
778	C₄×C₁₃	—	4	1	no	—
779	C₄×C₁₃	—	4	2	no	—
780	C₄×C₁₃	—	4	2	no	—
781	C₄×C₁₃	#576	1	2	yes	—
782	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
783	C₄×C₁₃	#585	1	1	yes	characteristic
784	C₂×#41	—	2	1	no	—
785	C₂×#41	—	2	1	no	—
786	C₂×#41	—	2	1	no	—
787	C₂×#41	—	2	1	no	—
788	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
789	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
790	C₂²×Q₈	—	2	1	no	—
791	C₂²×D₄	—	2	1	no	—
792	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
793	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
794	C₂³×C₄	—	2	1	no	—
795	C₂³×C₄	—	2	1	no	—
796	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
797	C₂×D₈	C₂³×C₁₃	1	2	yes	—
798	C₂×D₈	C₂³×C₁₃	1	2	yes	—
799	C₂×D₈	C₂³×C₁₃	1	2	yes	—
800	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
801	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
802	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
803	C₄⋊Q₈	—	2	1	no	—
804	C₄⋊Q₈	—	2	1	no	—
805	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
806	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
807	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
808	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
809	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	#127	C₂³×C₁₃	1	1	yes	characteristic
811	#127	C₂³×C₁₃	1	1	yes	characteristic
812	#126	—	2	1	no	—
813	#126	—	2	1	no	—
814	#126	—	2	2	no	—
815	#126	—	2	2	no	—
816	#126	—	2	1	no	—
817	#126	—	2	1	no	—
818	#125	—	2	1	no	—
819	#125	C₂³×C₁₃	1	1	yes	characteristic
820	#125	C₂³×C₁₃	1	1	yes	characteristic
821	#125	C₂³×C₁₃	1	2	yes	—
822	#125	C₂³×C₁₃	1	2	yes	—
823	#124	—	2	1	no	—
824	#124	—	2	2	no	—
825	#124	—	2	2	no	—
826	#124	—	2	1	no	—
827	#124	—	2	1	no	—
828	#124	—	2	1	no	—
829	#124	—	2	1	no	—
830	#124	C₂³×C₁₃	1	1	yes	characteristic
831	#124	C₂³×C₁₃	1	1	yes	characteristic
832	#123	—	2	1	no	—
833	#123	—	2	1	no	—
834	#123	—	2	1	no	—
835	#123	—	2	1	no	—
836	#123	—	2	1	no	—
837	#123	—	2	1	no	—
838	#123	—	2	1	no	—
839	#123	—	2	1	no	—
840	#123	—	2	2	no	—
841	#123	—	2	2	no	—
842	C₂²⋊Q₈	—	2	1	no	—
843	C₂²⋊Q₈	—	2	2	no	—
844	C₂²⋊Q₈	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	—	2	1	no	—
847	C₂²⋊Q₈	—	2	1	no	—
848	C₂²⋊Q₈	—	2	1	no	—
849	C₂²⋊Q₈	—	2	1	no	—
850	C₂²⋊Q₈	—	2	2	no	—
851	C₂²⋊Q₈	—	2	2	no	—
852	C₂²⋊Q₈	—	2	1	no	—
853	C₂²⋊Q₈	—	2	1	no	—
854	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
855	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
856	#121	—	2	1	no	—
857	#121	—	2	1	no	—
858	#121	—	2	2	no	—
859	#121	—	2	2	no	—
860	#121	—	2	2	no	—
861	#121	—	2	1	no	—
862	#121	—	2	1	no	—
863	#121	—	2	1	no	—
864	#121	—	2	1	no	—
865	#121	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	C₂³×C₁₃	1	1	yes	characteristic
869	#121	C₂³×C₁₃	1	1	yes	characteristic
870	#121	C₂³×C₁₃	1	1	yes	characteristic
871	#121	C₂³×C₁₃	1	1	yes	characteristic
872	#121	C₂³×C₁₃	1	2	yes	—
873	#121	C₂³×C₁₃	1	2	yes	—
874	#121	C₂³×C₁₃	1	2	yes	—
875	#120	—	2	1	no	—
876	#120	—	2	1	no	—
877	#120	—	2	1	no	—
878	#120	—	2	1	no	—
879	C₄×Q₈	—	2	1	no	—
880	C₄×Q₈	—	2	1	no	—
881	C₄×Q₈	—	2	1	no	—
882	C₄×Q₈	—	2	1	no	—
883	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
884	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
885	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
886	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	1	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	2	no	—
896	C₄×D₄	—	2	2	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
906	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
907	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
908	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
911	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
912	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
913	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
914	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
915	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
916	C₄×D₄	C₂³×C₁₃	1	2	yes	—
917	C₄×D₄	C₂³×C₁₃	1	2	yes	—
918	C₄×D₄	C₂³×C₁₃	1	2	yes	—
919	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
920	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
922	#117	—	2	2	no	—
923	#117	—	2	1	no	—
924	#117	—	2	1	no	—
925	#117	—	2	1	no	—
926	#117	D₄×C₁₃	1	1	yes	characteristic
927	#117	D₄×C₁₃	1	1	yes	characteristic
928	#117	D₄×C₁₃	1	1	yes	characteristic
929	#117	C₂³×C₁₃	1	1	yes	characteristic
930	#117	C₂³×C₁₃	1	2	yes	—
931	#117	C₂³×C₁₃	1	2	yes	—
932	C₂×C₄⋊C₄	—	2	1	no	—
933	C₂×C₄⋊C₄	—	2	1	no	—
934	C₂×C₄⋊C₄	—	2	2	no	—
935	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
938	C₂×C₂²⋊C₄	—	2	1	no	—
939	C₂×C₂²⋊C₄	—	2	1	no	—
940	C₂×C₂²⋊C₄	—	2	1	no	—
941	C₂×C₂²⋊C₄	—	2	1	no	—
942	C₂×C₄²	—	2	1	no	—
943	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
944	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
945	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
946	#107	C₂³×C₁₃	1	2	yes	—
947	#107	C₂³×C₁₃	1	2	yes	—
948	#107	C₂³×C₁₃	1	2	yes	—
949	#107	C₂³×C₁₃	1	2	yes	—
950	#107	C₂³×C₁₃	1	2	yes	—
951	#107	C₂³×C₁₃	1	2	yes	—
952	#107	C₂³×C₁₃	1	2	yes	—
953	#106	C₂³×C₁₃	1	2	yes	—
954	#106	C₂³×C₁₃	1	2	yes	—
955	#106	C₂³×C₁₃	1	2	yes	—
956	#106	C₂³×C₁₃	1	2	yes	—
957	#106	C₂³×C₁₃	1	2	yes	—
958	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
959	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
960	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
961	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
962	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
963	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
964	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
965	#103	C₂³×C₁₃	1	2	yes	—
966	#103	C₂³×C₁₃	1	2	yes	—
967	#103	C₂³×C₁₃	1	2	yes	—
968	#102	C₂³×C₁₃	1	2	yes	—
969	#102	C₂³×C₁₃	1	2	yes	—
970	#102	C₂³×C₁₃	1	2	yes	—
971	#102	C₂³×C₁₃	1	2	yes	—
972	#102	C₂³×C₁₃	1	2	yes	—
973	#102	C₂³×C₁₃	1	2	yes	—
974	#102	C₂³×C₁₃	1	2	yes	—
975	#102	C₂³×C₁₃	1	2	yes	—
976	#102	C₂³×C₁₃	1	2	yes	—
977	#102	C₂³×C₁₃	1	2	yes	—
978	#102	C₂³×C₁₃	1	2	yes	—
979	#102	C₂³×C₁₃	1	2	yes	—
980	#102	C₂³×C₁₃	1	2	yes	—
981	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
982	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
983	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
984	#97	C₂³×C₁₃	1	2	yes	—
985	#97	C₂³×C₁₃	1	2	yes	—
986	C₄×C₈	C₂³×C₁₃	1	2	yes	—
987	C₂×C₁₃	—	2	2	no	—
988	C₂×C₁₃	—	4	1	no	—
989	C₂×C₁₃	—	4	1	no	—
990	C₂×C₁₃	—	4	2	no	—
991	C₂×C₁₃	—	8	2	no	—
992	C₂×C₁₃	—	8	1	no	—
993	C₂×C₁₃	—	8	1	no	—
994	C₂×C₁₃	#3489	1	1	yes	characteristic
995	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
996	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
997	C₂⁴	—	2	1	no	—
998	C₂⁴	—	2	1	no	—
999	#41	—	2	2	no	—
1000	#41	—	4	2	no	—
1001	#41	—	4	1	no	—
1002	#41	—	4	4	no	—
1003	#41	—	8	2	no	—
1004	#41	—	8	2	no	—
1005	#41	—	8	2	no	—
1006	C₂×Q₈	—	2	1	no	—
1007	C₂×Q₈	—	2	1	no	—
1008	C₂×Q₈	—	2	1	no	—
1009	C₂×Q₈	—	2	1	no	—
1010	C₂×Q₈	—	2	2	no	—
1011	C₂×Q₈	—	8	2	no	—
1012	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₂×D₄	—	2	2	no	—
1015	C₂×D₄	—	2	2	no	—
1016	C₂×D₄	—	2	1	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	2	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	1	no	—
1022	C₂×D₄	—	2	2	no	—
1023	C₂×D₄	—	2	2	no	—
1024	C₂×D₄	—	2	1	no	—
1025	C₂×D₄	—	2	1	no	—
1026	C₂×D₄	—	2	1	no	—
1027	C₂×D₄	—	2	1	no	—
1028	C₂×D₄	—	2	1	no	—
1029	C₂×D₄	—	2	1	no	—
1030	C₂×D₄	—	4	1	no	—
1031	C₂×D₄	—	4	1	no	—
1032	C₂×D₄	—	4	4	no	—
1033	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1034	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1035	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1037	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1038	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1039	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	1	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	1	no	—
1045	C₂²×C₄	—	2	1	no	—
1046	C₂²×C₄	—	2	2	no	—
1047	C₂²×C₄	—	2	1	no	—
1048	C₂²×C₄	—	2	1	no	—
1049	C₂²×C₄	—	2	1	no	—
1050	C₂²×C₄	—	2	1	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	1	no	—
1054	C₂²×C₄	—	2	1	no	—
1055	C₂²×C₄	—	8	2	no	—
1056	C₂²×C₄	—	8	2	no	—
1057	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1066	SD₁₆	—	4	2	no	—
1067	D₈	—	2	4	no	—
1068	D₈	—	4	2	no	—
1069	D₈	—	4	2	no	—
1070	M₁₆	—	4	2	no	—
1071	C₂×C₈	—	4	2	no	—
1072	C₂×C₈	—	4	2	no	—
1073	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1074	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1075	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1076	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	1	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	2	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	2	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1098	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1099	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1100	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1101	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1102	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1103	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1104	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1105	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1106	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1107	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1108	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1109	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1110	C₂²⋊C₄	—	2	1	no	—
1111	C₂²⋊C₄	—	2	1	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	2	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	1	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	1	no	—
1118	C₂²⋊C₄	—	2	1	no	—
1119	C₂²⋊C₄	—	2	1	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	1	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	1	no	—
1129	C₂²⋊C₄	—	2	1	no	—
1130	C₂²⋊C₄	—	2	1	no	—
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	2	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	2	no	—
1137	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1138	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1139	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1140	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1141	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1142	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1143	C₄²	—	2	1	no	—
1144	C₄²	—	2	1	no	—
1145	C₄²	—	2	1	no	—
1146	C₄²	—	2	2	no	—
1147	C₄²	—	2	2	no	—
1148	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1149	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1150	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1152	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1153	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1154	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1155	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1156	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1157	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1158	C₁₃	#62125	1	1	yes	characteristic, direct product factor, Sylow
1159	C₂³	—	2	1	no	—
1160	C₂³	—	2	2	no	—
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	4	2	no	—
1164	C₂³	—	4	2	no	—
1165	C₂³	—	4	2	no	—
1166	C₂³	—	4	2	no	—
1167	C₂³	—	8	1	no	—
1168	C₂³	—	8	1	no	—
1169	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1170	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1171	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1172	Q₈	—	2	1	no	—
1173	Q₈	—	2	1	no	—
1174	Q₈	—	4	1	no	—
1175	Q₈	—	4	2	no	—
1176	Q₈	—	4	2	no	—
1177	Q₈	—	4	2	no	—
1178	Q₈	—	8	2	no	—
1179	Q₈	—	8	1	no	—
1180	D₄	—	2	2	no	—
1181	D₄	—	2	2	no	—
1182	D₄	—	2	2	no	—
1183	D₄	—	2	1	no	—
1184	D₄	—	2	1	no	—
1185	D₄	—	2	1	no	—
1186	D₄	—	2	2	no	—
1187	D₄	—	2	1	no	—
1188	D₄	—	2	1	no	—
1189	D₄	—	4	1	no	—
1190	D₄	—	4	2	no	—
1191	D₄	—	4	2	no	—
1192	D₄	—	4	2	no	—
1193	D₄	—	4	2	no	—
1194	D₄	—	4	2	no	—
1195	D₄	—	4	2	no	—
1196	D₄	—	4	2	no	—
1197	D₄	—	4	4	no	—
1198	D₄	—	4	2	no	—
1199	D₄	—	8	1	no	—
1200	D₄	—	8	1	no	—
1201	D₄	—	8	1	no	—
1202	D₄	—	8	2	no	—
1203	D₄	—	8	2	no	—
1204	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	2	no	—
1220	C₂×C₄	—	2	2	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	4	1	no	—
1224	C₂×C₄	—	4	1	no	—
1225	C₂×C₄	—	4	2	no	—
1226	C₂×C₄	—	4	2	no	—
1227	C₂×C₄	—	4	4	no	—
1228	C₂×C₄	—	4	2	no	—
1229	C₂×C₄	—	4	2	no	—
1230	C₂×C₄	—	4	2	no	—
1231	C₂×C₄	—	8	1	no	—
1232	C₂×C₄	—	8	1	no	—
1233	C₂×C₄	—	8	1	no	—
1234	C₂×C₄	—	8	1	no	—
1235	C₂×C₄	—	8	2	no	—
1236	C₂×C₄	—	8	2	no	—
1237	C₂×C₄	—	8	1	no	—
1238	C₂×C₄	—	8	1	no	—
1239	C₂×C₄	—	8	2	no	—
1240	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1241	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1242	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1243	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1244	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1245	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1246	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1247	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1248	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1249	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1250	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1251	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1252	C₈	—	2	2	no	—
1253	C₈	—	2	2	no	—
1254	C₈	—	2	2	no	—
1255	C₈	—	2	2	no	—
1256	C₂²	—	2	1	no	—
1257	C₂²	—	2	1	no	—
1258	C₂²	—	2	1	no	—
1259	C₂²	—	2	1	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	4	1	no	—
1266	C₂²	—	4	1	no	—
1267	C₂²	—	4	2	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	1	no	—
1270	C₂²	—	4	1	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	2	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	2	no	—
1276	C₂²	—	8	4	no	—
1277	C₂²	—	8	4	no	—
1278	C₂²	C₁₃×#575	1	2	yes	—
1279	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1280	C₄	—	2	1	no	—
1281	C₄	—	2	1	no	—
1282	C₄	—	2	1	no	—
1283	C₄	—	2	1	no	—
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	2	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	2	no	—
1296	C₄	—	4	2	no	—
1297	C₄	—	4	1	no	—
1298	C₄	C₁₃×#576	1	2	yes	—
1299	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1300	C₄	C₁₃×#585	1	1	yes	characteristic
1301	C₂	—	2	2	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	4	2	no	—
1305	C₂	—	8	1	no	—
1306	C₂	—	8	1	no	—
1307	C₂	—	8	2	no	—
1308	C₂	C₁₃×#3489	1	1	yes	characteristic
1309	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1310	C₂	C₂×C₁₃×#576	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×#3511	C₂	semidirect
2. C₁₃×#3481	C₂	semidirect
3. C₁₃×#3389	C₂	semidirect
4. C₁₃×#3370	C₂	semidirect
5. C₁₃×#3347	C₂	semidirect
6. C₁₃×#3346	C₂	semidirect
7. C₁₃×#3339	C₂	semidirect
8. C₁₃×#3319	C₂	semidirect
9. C₁₃×#3318	C₂	semidirect
10. C₁₃×#3297	C₂	semidirect
11. C₁₃×#3251	C₂	semidirect
12. C₁₃×#3247	C₂	semidirect
13. C₁₃×#3245	C₂	semidirect
14. C₁₃×#3239	C₂	semidirect
15. C₁₃×#3235	C₂	semidirect
16. C₁₃×#3233	C₂	semidirect
17. C₁₃×#3115	C₂	semidirect
18. C₁₃×#3109	C₂	semidirect
19. C₁₃×#3100	C₂	semidirect
20. C₁₃×#3077	C₂	semidirect
21. C₁₃×#3076	C₂	semidirect
22. C₂×C₁₃×#474	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
26. C₁₃×#555	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
34. C₁₃×#553	C₂²	semidirect
47. C₁₃×#533	C₂²	semidirect
48. C₁₃×#533	C₂²	semidirect
50. C₁₃×#532	C₂²	semidirect
51. C₁₃×#532	C₂²	semidirect
52. C₁₃×#532	C₂²	semidirect
53. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#501	C₂²	semidirect
67. C₁₃×#499	C₂²	semidirect
69. C₁₃×#489	C₂²	semidirect
70. C₁₃×#488	C₂²	semidirect
71. C₁₃×#485	C₂²	semidirect
72. C₁₃×#484	C₂²	semidirect
74. C₁₃×#482	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
78. C₁₃×#481	C₂²	semidirect
79. C₁₃×#480	C₂²	semidirect
80. C₁₃×#479	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#477	C₂²	semidirect
88. C₁₃×#476	C₂²	semidirect
89. C₁₃×#476	C₂²	semidirect
90. C₁₃×#475	C₂²	semidirect
91. C₁₃×#475	C₂²	semidirect
95. C₁₃×#474	C₂²	semidirect
96. C₁₃×#474	C₂²	semidirect
97. C₁₃×#474	C₂²	semidirect
98. C₁₃×#474	C₂²	semidirect
99. C₁₃×#474	C₂²	semidirect
100. C₁₃×#474	C₂²	semidirect
102. C₁₃×#468	C₂²	semidirect
104. C₁₃×#466	C₂²	semidirect
105. C₁₃×#466	C₂²	semidirect
106. C₁₃×#465	C₂²	semidirect
107. C₁₃×#463	C₂²	semidirect
108. C₁₃×#463	C₂²	semidirect
109. C₁₃×#460	C₂²	semidirect
112. C₁₃×#459	C₂²	semidirect
113. C₁₃×#459	C₂²	semidirect
117. C₁₃×#446	C₂²	semidirect
120. C₁₃×#442	C₂²	semidirect
121. C₁₃×#440	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₁₃×#432	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#428	C₂²	semidirect
131. C₁₃×#427	C₂²	semidirect
132. C₂×C₁₃×#107	C₂²	semidirect
133. C₁₃×#423	C₂²	semidirect
134. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
135. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
342. #62125	C₁₃	direct (N × H)
504. #3511	C₂×C₁₃	semidirect
505. #3481	C₂×C₁₃	semidirect
506. #3389	C₂×C₁₃	semidirect
507. #3370	C₂×C₁₃	semidirect
508. #3347	C₂×C₁₃	semidirect
509. #3346	C₂×C₁₃	semidirect
510. #3339	C₂×C₁₃	semidirect
511. #3319	C₂×C₁₃	semidirect
512. #3318	C₂×C₁₃	semidirect
513. #3297	C₂×C₁₃	semidirect
514. #3251	C₂×C₁₃	semidirect
515. #3247	C₂×C₁₃	semidirect
516. #3245	C₂×C₁₃	semidirect
517. #3239	C₂×C₁₃	semidirect
518. #3235	C₂×C₁₃	semidirect
519. #3233	C₂×C₁₃	semidirect
520. #3115	C₂×C₁₃	semidirect
521. #3109	C₂×C₁₃	semidirect
522. #3100	C₂×C₁₃	semidirect
523. #3077	C₂×C₁₃	semidirect
524. #3076	C₂×C₁₃	semidirect
525. C₂×#474	C₂×C₁₃	semidirect
526. #2990	C₂×C₁₃	semidirect
626. #555	C₂²×C₁₃	semidirect
629. #554	C₂²×C₁₃	semidirect
634. #553	C₂²×C₁₃	semidirect
647. #533	C₂²×C₁₃	semidirect
648. #533	C₂²×C₁₃	semidirect
650. #532	C₂²×C₁₃	semidirect
651. #532	C₂²×C₁₃	semidirect
652. #532	C₂²×C₁₃	semidirect
653. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
665. #501	C₂²×C₁₃	semidirect
666. #501	C₂²×C₁₃	semidirect
667. #499	C₂²×C₁₃	semidirect
669. #489	C₂²×C₁₃	semidirect
670. #488	C₂²×C₁₃	semidirect
671. #485	C₂²×C₁₃	semidirect
672. #484	C₂²×C₁₃	semidirect
674. #482	C₂²×C₁₃	semidirect
675. #482	C₂²×C₁₃	semidirect
676. #482	C₂²×C₁₃	semidirect
678. #481	C₂²×C₁₃	semidirect
679. #480	C₂²×C₁₃	semidirect
680. #479	C₂²×C₁₃	semidirect
683. #478	C₂²×C₁₃	semidirect
684. #478	C₂²×C₁₃	semidirect
685. #478	C₂²×C₁₃	semidirect
686. #477	C₂²×C₁₃	semidirect
688. #476	C₂²×C₁₃	semidirect
689. #476	C₂²×C₁₃	semidirect
690. #475	C₂²×C₁₃	semidirect
691. #475	C₂²×C₁₃	semidirect
695. #474	C₂²×C₁₃	semidirect
696. #474	C₂²×C₁₃	semidirect
697. #474	C₂²×C₁₃	semidirect
698. #474	C₂²×C₁₃	semidirect
699. #474	C₂²×C₁₃	semidirect
700. #474	C₂²×C₁₃	semidirect
702. #468	C₂²×C₁₃	semidirect
704. #466	C₂²×C₁₃	semidirect
705. #466	C₂²×C₁₃	semidirect
706. #465	C₂²×C₁₃	semidirect
707. #463	C₂²×C₁₃	semidirect
708. #463	C₂²×C₁₃	semidirect
709. #460	C₂²×C₁₃	semidirect
712. #459	C₂²×C₁₃	semidirect
713. #459	C₂²×C₁₃	semidirect
717. #446	C₂²×C₁₃	semidirect
720. #442	C₂²×C₁₃	semidirect
721. #440	C₂²×C₁₃	semidirect
723. C₄×D₈	C₂²×C₁₃	semidirect
725. #435	C₂²×C₁₃	semidirect
726. C₈×D₄	C₂²×C₁₃	semidirect
727. #432	C₂²×C₁₃	semidirect
728. #432	C₂²×C₁₃	semidirect
729. #431	C₂²×C₁₃	semidirect
730. #428	C₂²×C₁₃	semidirect
731. #427	C₂²×C₁₃	semidirect
732. C₂×#107	C₂²×C₁₃	semidirect
733. #423	C₂²×C₁₃	semidirect
734. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
735. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1158. C₁₃	#62125	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×#3511	2
C₁₃×#3481	2
C₁₃×#3389	2
C₁₃×#3370	2
C₁₃×#3347	2
C₁₃×#3346	2
C₁₃×#3339	2
C₁₃×#3319	2
C₁₃×#3318	2
C₁₃×#3297	2
C₁₃×#3251	2
C₁₃×#3247	2
C₁₃×#3245	2
C₁₃×#3239	2
C₁₃×#3235	2
C₁₃×#3233	2
C₁₃×#3115	2
C₁₃×#3109	2
C₁₃×#3100	2
C₁₃×#3077	2
C₁₃×#3076	2
C₂×C₁₃×#474	2
C₁₃×#2990	2
#62125	13

Subgroups — C13×#62125 #15748464

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62125 #15748464