Subgroups — C₁₃×#60978 #15747317

Order 3328.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3259	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3205	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3192	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3188	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3186	C₂	1	1	yes	maximal, characteristic, 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×#3119	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3114	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2924	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#555	—	2	1	no	—
25	C₁₃×#553	—	2	1	no	—
26	C₁₃×#553	—	2	1	no	—
27	C₁₃×#551	—	2	1	no	—
28	C₁₃×#551	—	2	1	no	—
29	C₁₃×#547	—	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	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#542	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#540	—	2	1	no	—
36	C₁₃×#540	—	2	1	no	—
37	C₁₃×#540	—	2	1	no	—
38	C₁₃×#540	—	2	1	no	—
39	C₁₃×#540	C₂²	1	2	yes	—
40	C₁₃×#540	C₂²	1	2	yes	—
41	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#540	C₂²	1	2	yes	complemented
43	C₁₃×#540	C₂²	1	2	yes	complemented
44	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₁₃×#529	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#525	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#123	—	2	1	no	—
54	C₂×C₁₃×#123	—	2	1	no	—
55	C₂×C₁₃×#121	—	2	1	no	—
56	C₂×C₁₃×#121	—	2	1	no	—
57	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
60	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
62	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	2	yes	complemented
66	C₁₃×#499	C₂²	1	2	yes	complemented
67	C₁₃×#496	C₂²	1	2	yes	complemented
68	C₁₃×#493	C₂²	1	2	yes	complemented
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×#484	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	2	yes	complemented
77	C₁₃×#481	C₂²	1	1	yes	characteristic
78	C₁₃×#481	C₂²	1	1	yes	characteristic
79	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#481	C₂²	1	2	yes	complemented
81	C₁₃×#480	C₂²	1	1	yes	characteristic
82	C₁₃×#480	C₂²	1	1	yes	characteristic
83	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#480	C₂²	1	2	yes	complemented
85	C₁₃×#479	C₂²	1	2	yes	complemented
86	C₁₃×#478	C₂²	1	2	yes	complemented
87	C₁₃×#478	C₂²	1	2	yes	complemented
88	C₁₃×#478	C₂²	1	2	yes	complemented
89	C₁₃×#478	C₂²	1	2	yes	complemented
90	C₁₃×#478	C₂²	1	2	yes	complemented
91	C₁₃×#476	C₂²	1	2	yes	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	2	yes	complemented
104	C₁₃×#459	C₂²	1	2	yes	complemented
105	C₁₃×#459	C₂²	1	2	yes	complemented
106	C₁₃×#459	C₂²	1	2	yes	complemented
107	C₁₃×#459	C₂²	1	2	yes	complemented
108	C₁₃×#459	C₂²	1	2	yes	complemented
109	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#449	C₂²	1	2	yes	complemented
112	C₁₃×#449	C₂²	1	2	yes	complemented
113	C₁₃×#447	C₂²	1	1	yes	characteristic
114	C₁₃×#447	C₂²	1	1	yes	characteristic
115	C₁₃×#447	C₂²	1	1	yes	characteristic
116	C₁₃×#447	C₂²	1	1	yes	characteristic
117	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#447	C₂²	1	1	yes	characteristic, 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×#424	C₂²	1	2	yes	complemented
136	C₁₃×#407	C₂²	1	1	yes	characteristic
137	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	—	2	1	no	—
145	C₂²×D₄×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	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃	—	2	1	no	—
151	C₂³×C₄×C₁₃	—	2	1	no	—
152	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×SD₁₆	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×D₈	C₂³	1	2	yes	—
161	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
162	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
163	C₁₃×C₄⋊Q₈	—	2	1	no	—
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×#127	—	2	1	no	—
167	C₁₃×#127	—	2	1	no	—
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#127	C₂³	1	2	yes	—
170	C₁₃×#127	C₂³	1	2	yes	—
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	C₂³	1	1	yes	characteristic
180	C₁₃×#125	C₂³	1	2	yes	—
181	C₁₃×#125	C₂³	1	2	yes	—
182	C₁₃×#125	C₂³	1	1	yes	characteristic
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	C₂³	1	1	yes	characteristic
188	C₁₃×#124	C₂³	1	1	yes	characteristic
189	C₁₃×#123	—	2	1	no	—
190	C₁₃×#123	—	2	1	no	—
191	C₁₃×#123	—	2	1	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	1	no	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
211	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	1	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	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	2	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	C₂³	1	1	yes	characteristic
235	C₁₃×#121	C₂³	1	1	yes	characteristic
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	2	yes	—
238	C₁₃×#121	C₂³	1	2	yes	—
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₁₃×#121	C₂³	1	1	yes	characteristic
243	C₁₃×#121	C₂³	1	1	yes	characteristic
244	C₁₃×#120	—	2	1	no	—
245	C₁₃×#120	—	2	1	no	—
246	C₁₃×#120	—	2	1	no	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	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	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	C₂³	1	2	yes	—
264	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
265	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
266	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
267	C₄×D₄×C₁₃	C₂³	1	2	yes	—
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×D₄×C₁₃	C₂³	1	2	yes	—
272	C₄×D₄×C₁₃	C₂³	1	2	yes	—
273	C₁₃×#117	—	2	1	no	—
274	C₁₃×#117	—	2	1	no	—
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	D₄	1	1	yes	characteristic
277	C₁₃×#117	D₄	1	1	yes	characteristic
278	C₁₃×#117	D₄	1	1	yes	characteristic
279	C₁₃×#117	D₄	1	1	yes	characteristic
280	C₁₃×#117	C₂³	1	1	yes	characteristic
281	C₁₃×#117	C₂³	1	1	yes	characteristic
282	C₁₃×#117	C₂³	1	1	yes	characteristic
283	C₁₃×#117	C₂³	1	1	yes	characteristic
284	C₁₃×#117	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
286	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
287	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
288	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
289	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
301	C₂×C₁₃×C₂²⋊C₄	D₄	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	2	yes	—
313	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
315	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
316	C₁₃×#103	C₂³	1	2	yes	—
317	C₁₃×#103	C₂³	1	2	yes	—
318	C₁₃×#102	C₂³	1	2	yes	—
319	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
333	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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	#60978	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₂⁴×C₁₃	—	2	1	no	—
346	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
347	C₁₃×#41	—	4	2	no	—
348	C₁₃×#41	—	8	2	no	—
349	C₁₃×#41	—	8	2	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂×D₄×C₁₃	—	2	1	no	—
354	C₂×D₄×C₁₃	—	2	1	no	—
355	C₂×D₄×C₁₃	—	2	1	no	—
356	C₂×D₄×C₁₃	—	2	1	no	—
357	C₂×D₄×C₁₃	—	2	1	no	—
358	C₂×D₄×C₁₃	—	2	2	no	—
359	C₂×D₄×C₁₃	—	2	2	no	—
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	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	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	2	no	—
372	C₂×D₄×C₁₃	—	2	2	no	—
373	C₂×D₄×C₁₃	—	2	2	no	—
374	C₂×D₄×C₁₃	—	2	2	no	—
375	C₂×D₄×C₁₃	—	4	2	no	—
376	C₂×D₄×C₁₃	—	4	2	no	—
377	C₂×D₄×C₁₃	—	4	2	no	—
378	C₂×D₄×C₁₃	—	8	2	no	—
379	C₂×D₄×C₁₃	—	8	2	no	—
380	C₂×D₄×C₁₃	—	8	2	no	—
381	C₂×D₄×C₁₃	—	8	2	no	—
382	C₂×D₄×C₁₃	—	8	2	no	—
383	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
387	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₁₃	—	2	1	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	1	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	1	no	—
398	C₂²×C₄×C₁₃	—	2	2	no	—
399	C₂²×C₄×C₁₃	—	2	2	no	—
400	C₂²×C₄×C₁₃	—	2	2	no	—
401	C₂²×C₄×C₁₃	—	2	2	no	—
402	C₂²×C₄×C₁₃	—	4	2	no	—
403	C₂²×C₄×C₁₃	—	8	2	no	—
404	C₂²×C₄×C₁₃	—	8	2	no	—
405	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₁₃×SD₁₆	—	4	2	no	—
416	C₁₃×SD₁₆	—	4	2	no	—
417	C₁₃×D₈	—	4	2	no	—
418	C₁₃×D₈	—	4	2	no	—
419	C₁₃×D₈	—	4	2	no	—
420	C₁₃×D₈	—	4	2	no	—
421	C₁₃×D₈	—	4	2	no	—
422	C₁₃×D₈	—	4	2	no	—
423	C₁₃×M₁₆	—	4	2	no	—
424	C₂×C₈×C₁₃	—	4	2	no	—
425	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
426	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
427	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
428	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	2	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	2	no	—
435	C₁₃×C₄⋊C₄	—	2	2	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	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	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	C₂⁴	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	2	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
460	C₁₃×C₂²⋊C₄	—	2	1	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	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	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	2	no	—
479	C₁₃×C₂²⋊C₄	—	2	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	1	no	—
484	C₁₃×C₂²⋊C₄	—	2	1	no	—
485	C₁₃×C₂²⋊C₄	—	2	1	no	—
486	C₁₃×C₂²⋊C₄	—	2	1	no	—
487	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
503	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
504	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
505	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
506	#3494	C₂×C₁₃	1	1	yes	characteristic, complemented
507	C₂×#540	C₂×C₁₃	1	1	yes	characteristic, complemented
508	#3259	C₂×C₁₃	1	2	yes	complemented
509	#3257	C₂×C₁₃	1	2	yes	complemented
510	#3241	C₂×C₁₃	1	2	yes	complemented
511	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3232	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3220	C₂×C₁₃	1	2	yes	complemented
514	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3205	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3192	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3188	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3186	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3179	C₂×C₁₃	1	2	yes	complemented
521	#3176	C₂×C₁₃	1	2	yes	complemented
522	#3122	C₂×C₁₃	1	2	yes	complemented
523	#3119	C₂×C₁₃	1	2	yes	complemented
524	#3114	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#2924	C₂×C₁₃	1	1	yes	characteristic, complemented
529	C₂³×C₁₃	—	2	2	no	—
530	C₂³×C₁₃	—	2	1	no	—
531	C₂³×C₁₃	—	2	1	no	—
532	C₂³×C₁₃	—	2	1	no	—
533	C₂³×C₁₃	—	2	2	no	—
534	C₂³×C₁₃	—	2	2	no	—
535	C₂³×C₁₃	—	4	1	no	—
536	C₂³×C₁₃	—	4	1	no	—
537	C₂³×C₁₃	—	4	2	no	—
538	C₂³×C₁₃	—	4	2	no	—
539	C₂³×C₁₃	—	4	2	no	—
540	C₂³×C₁₃	—	4	2	no	—
541	C₂³×C₁₃	—	4	2	no	—
542	C₂³×C₁₃	—	4	2	no	—
543	C₂³×C₁₃	—	4	2	no	—
544	C₂³×C₁₃	—	8	1	no	—
545	C₂³×C₁₃	—	8	1	no	—
546	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
549	Q₈×C₁₃	—	2	2	no	—
550	Q₈×C₁₃	—	8	1	no	—
551	Q₈×C₁₃	—	8	1	no	—
552	D₄×C₁₃	—	2	2	no	—
553	D₄×C₁₃	—	2	2	no	—
554	D₄×C₁₃	—	2	2	no	—
555	D₄×C₁₃	—	2	2	no	—
556	D₄×C₁₃	—	2	2	no	—
557	D₄×C₁₃	—	2	2	no	—
558	D₄×C₁₃	—	2	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	2	no	—
566	D₄×C₁₃	—	8	1	no	—
567	D₄×C₁₃	—	8	1	no	—
568	D₄×C₁₃	—	8	2	no	—
569	D₄×C₁₃	—	8	2	no	—
570	D₄×C₁₃	—	8	2	no	—
571	D₄×C₁₃	—	8	2	no	—
572	D₄×C₁₃	—	8	1	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	2	no	—
578	D₄×C₁₃	—	8	2	no	—
579	D₄×C₁₃	—	8	1	no	—
580	D₄×C₁₃	—	8	1	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	2	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	1	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	2	no	—
592	C₂×C₄×C₁₃	—	2	2	no	—
593	C₂×C₄×C₁₃	—	4	1	no	—
594	C₂×C₄×C₁₃	—	4	1	no	—
595	C₂×C₄×C₁₃	—	4	1	no	—
596	C₂×C₄×C₁₃	—	4	1	no	—
597	C₂×C₄×C₁₃	—	4	1	no	—
598	C₂×C₄×C₁₃	—	4	2	no	—
599	C₂×C₄×C₁₃	—	4	2	no	—
600	C₂×C₄×C₁₃	—	4	2	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	2	no	—
606	C₂×C₄×C₁₃	—	8	2	no	—
607	C₂×C₄×C₁₃	—	8	1	no	—
608	C₂×C₄×C₁₃	—	8	1	no	—
609	C₂×C₄×C₁₃	—	8	1	no	—
610	C₂×C₄×C₁₃	—	8	1	no	—
611	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
620	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
621	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
622	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
623	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
624	C₈×C₁₃	—	2	2	no	—
625	C₈×C₁₃	—	2	2	no	—
626	C₈×C₁₃	—	2	2	no	—
627	C₈×C₁₃	—	2	2	no	—
628	#555	—	2	1	no	—
629	#553	—	2	1	no	—
630	#553	—	2	1	no	—
631	#551	—	2	1	no	—
632	#551	—	2	1	no	—
633	#547	—	2	1	no	—
634	#546	—	2	1	no	—
635	#546	—	2	1	no	—
636	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#542	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#540	—	2	1	no	—
640	#540	—	2	1	no	—
641	#540	—	2	1	no	—
642	#540	—	2	1	no	—
643	#540	C₂²×C₁₃	1	2	yes	—
644	#540	C₂²×C₁₃	1	2	yes	—
645	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#540	C₂²×C₁₃	1	2	yes	complemented
647	#540	C₂²×C₁₃	1	2	yes	complemented
648	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	#532	C₂²×C₁₃	1	1	yes	characteristic
651	#532	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#529	C₂²×C₁₃	1	1	yes	characteristic
654	#529	C₂²×C₁₃	1	1	yes	characteristic
655	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#525	C₂²×C₁₃	1	1	yes	characteristic
657	C₂×#123	—	2	1	no	—
658	C₂×#123	—	2	1	no	—
659	C₂×#121	—	2	1	no	—
660	C₂×#121	—	2	1	no	—
661	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
662	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
663	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
664	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#518	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
669	#501	C₂²×C₁₃	1	2	yes	complemented
670	#499	C₂²×C₁₃	1	2	yes	complemented
671	#496	C₂²×C₁₃	1	2	yes	complemented
672	#493	C₂²×C₁₃	1	2	yes	complemented
673	#490	C₂²×C₁₃	1	2	yes	complemented
674	#490	C₂²×C₁₃	1	2	yes	complemented
675	#488	C₂²×C₁₃	1	2	yes	complemented
676	#486	C₂²×C₁₃	1	2	yes	complemented
677	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
678	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	#482	C₂²×C₁₃	1	2	yes	complemented
680	#482	C₂²×C₁₃	1	2	yes	complemented
681	#481	C₂²×C₁₃	1	1	yes	characteristic
682	#481	C₂²×C₁₃	1	1	yes	characteristic
683	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	#481	C₂²×C₁₃	1	2	yes	complemented
685	#480	C₂²×C₁₃	1	1	yes	characteristic
686	#480	C₂²×C₁₃	1	1	yes	characteristic
687	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
688	#480	C₂²×C₁₃	1	2	yes	complemented
689	#479	C₂²×C₁₃	1	2	yes	complemented
690	#478	C₂²×C₁₃	1	2	yes	complemented
691	#478	C₂²×C₁₃	1	2	yes	complemented
692	#478	C₂²×C₁₃	1	2	yes	complemented
693	#478	C₂²×C₁₃	1	2	yes	complemented
694	#478	C₂²×C₁₃	1	2	yes	complemented
695	#476	C₂²×C₁₃	1	2	yes	complemented
696	#474	C₂²×C₁₃	1	2	yes	complemented
697	#469	C₂²×C₁₃	1	2	yes	complemented
698	#469	C₂²×C₁₃	1	2	yes	complemented
699	#469	C₂²×C₁₃	1	2	yes	complemented
700	#468	C₂²×C₁₃	1	2	yes	complemented
701	#466	C₂²×C₁₃	1	2	yes	complemented
702	#466	C₂²×C₁₃	1	2	yes	complemented
703	#466	C₂²×C₁₃	1	2	yes	complemented
704	#465	C₂²×C₁₃	1	2	yes	complemented
705	#463	C₂²×C₁₃	1	2	yes	complemented
706	#463	C₂²×C₁₃	1	2	yes	complemented
707	#460	C₂²×C₁₃	1	2	yes	complemented
708	#459	C₂²×C₁₃	1	2	yes	complemented
709	#459	C₂²×C₁₃	1	2	yes	complemented
710	#459	C₂²×C₁₃	1	2	yes	complemented
711	#459	C₂²×C₁₃	1	2	yes	complemented
712	#459	C₂²×C₁₃	1	2	yes	complemented
713	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	#449	C₂²×C₁₃	1	2	yes	complemented
716	#449	C₂²×C₁₃	1	2	yes	complemented
717	#447	C₂²×C₁₃	1	1	yes	characteristic
718	#447	C₂²×C₁₃	1	1	yes	characteristic
719	#447	C₂²×C₁₃	1	1	yes	characteristic
720	#447	C₂²×C₁₃	1	1	yes	characteristic
721	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#447	C₂²×C₁₃	1	2	yes	complemented
724	#447	C₂²×C₁₃	1	2	yes	complemented
725	#442	C₂²×C₁₃	1	2	yes	complemented
726	#442	C₂²×C₁₃	1	2	yes	complemented
727	#442	C₂²×C₁₃	1	2	yes	complemented
728	#440	C₂²×C₁₃	1	2	yes	complemented
729	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
730	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
731	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
732	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
733	#433	C₂²×C₁₃	1	2	yes	complemented
734	#433	C₂²×C₁₃	1	2	yes	complemented
735	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
736	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
737	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
739	#424	C₂²×C₁₃	1	2	yes	complemented
740	#407	C₂²×C₁₃	1	1	yes	characteristic
741	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
742	#405	C₂²×C₁₃	1	2	yes	complemented
743	C₂²×C₁₃	—	2	1	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	—	2	1	no	—
749	C₂²×C₁₃	—	2	1	no	—
750	C₂²×C₁₃	—	2	1	no	—
751	C₂²×C₁₃	—	4	2	no	—
752	C₂²×C₁₃	—	4	1	no	—
753	C₂²×C₁₃	—	4	1	no	—
754	C₂²×C₁₃	—	4	2	no	—
755	C₂²×C₁₃	—	4	1	no	—
756	C₂²×C₁₃	—	4	1	no	—
757	C₂²×C₁₃	—	4	2	no	—
758	C₂²×C₁₃	—	4	2	no	—
759	C₂²×C₁₃	—	4	1	no	—
760	C₂²×C₁₃	—	4	1	no	—
761	C₂²×C₁₃	—	4	1	no	—
762	C₂²×C₁₃	—	4	2	no	—
763	C₂²×C₁₃	—	4	1	no	—
764	C₂²×C₁₃	—	4	1	no	—
765	C₂²×C₁₃	—	4	2	no	—
766	C₂²×C₁₃	—	8	2	no	—
767	C₂²×C₁₃	—	8	4	no	—
768	C₂²×C₁₃	—	8	4	no	—
769	C₂²×C₁₃	—	16	2	no	—
770	C₂²×C₁₃	#576	1	2	yes	—
771	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
772	C₄×C₁₃	—	2	1	no	—
773	C₄×C₁₃	—	2	1	no	—
774	C₄×C₁₃	—	2	1	no	—
775	C₄×C₁₃	—	2	1	no	—
776	C₄×C₁₃	—	2	1	no	—
777	C₄×C₁₃	—	2	1	no	—
778	C₄×C₁₃	—	2	1	no	—
779	C₄×C₁₃	—	2	1	no	—
780	C₄×C₁₃	—	2	1	no	—
781	C₄×C₁₃	—	2	1	no	—
782	C₄×C₁₃	—	2	1	no	—
783	C₄×C₁₃	—	4	2	no	—
784	C₄×C₁₃	—	4	1	no	—
785	C₄×C₁₃	—	4	1	no	—
786	C₄×C₁₃	—	4	2	no	—
787	C₄×C₁₃	—	4	1	no	—
788	C₄×C₁₃	—	4	1	no	—
789	C₄×C₁₃	—	4	1	no	—
790	C₄×C₁₃	#585	1	2	yes	—
791	C₂×#41	—	2	1	no	—
792	C₂×#41	—	2	1	no	—
793	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
794	C₂²×D₄	—	2	1	no	—
795	C₂²×D₄	—	2	1	no	—
796	C₂²×D₄	—	2	1	no	—
797	C₂²×D₄	—	2	1	no	—
798	C₂²×D₄	—	2	1	no	—
799	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
800	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
801	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
802	C₂³×C₄	—	2	1	no	—
803	C₂³×C₄	—	2	1	no	—
804	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
806	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
807	C₂×D₈	C₂³×C₁₃	1	2	yes	—
808	C₂×D₈	C₂³×C₁₃	1	2	yes	—
809	C₂×D₈	C₂³×C₁₃	1	2	yes	—
810	C₂×D₈	C₂³×C₁₃	1	2	yes	—
811	C₂×D₈	C₂³×C₁₃	1	2	yes	—
812	C₂×D₈	C₂³×C₁₃	1	2	yes	—
813	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
814	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
815	C₄⋊Q₈	—	2	1	no	—
816	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
817	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
818	#127	—	2	1	no	—
819	#127	—	2	1	no	—
820	#127	C₂³×C₁₃	1	2	yes	—
821	#127	C₂³×C₁₃	1	2	yes	—
822	#127	C₂³×C₁₃	1	1	yes	characteristic
823	#127	C₂³×C₁₃	1	1	yes	characteristic
824	#126	—	2	1	no	—
825	#126	—	2	1	no	—
826	#126	—	2	1	no	—
827	#126	—	2	1	no	—
828	#125	—	2	1	no	—
829	#125	—	2	1	no	—
830	#125	—	2	1	no	—
831	#125	C₂³×C₁₃	1	2	yes	—
832	#125	C₂³×C₁₃	1	2	yes	—
833	#125	C₂³×C₁₃	1	1	yes	characteristic
834	#125	C₂³×C₁₃	1	1	yes	characteristic
835	#124	—	2	1	no	—
836	#124	—	2	1	no	—
837	#124	—	2	1	no	—
838	#124	—	2	1	no	—
839	#124	C₂³×C₁₃	1	1	yes	characteristic
840	#124	C₂³×C₁₃	1	1	yes	characteristic
841	#123	—	2	1	no	—
842	#123	—	2	1	no	—
843	#123	—	2	1	no	—
844	#123	—	2	2	no	—
845	#123	—	2	2	no	—
846	#123	—	2	2	no	—
847	#123	—	2	2	no	—
848	#123	—	2	2	no	—
849	#123	—	2	2	no	—
850	#123	—	2	2	no	—
851	#123	—	2	2	no	—
852	#123	—	2	1	no	—
853	#123	—	2	1	no	—
854	#123	—	2	1	no	—
855	#123	—	2	1	no	—
856	#123	—	2	1	no	—
857	#123	—	2	1	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	—	2	1	no	—
861	C₂²⋊Q₈	—	2	1	no	—
862	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
864	#121	—	2	1	no	—
865	#121	—	2	1	no	—
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	2	1	no	—
870	#121	—	2	1	no	—
871	#121	—	2	1	no	—
872	#121	—	2	1	no	—
873	#121	—	2	1	no	—
874	#121	—	2	2	no	—
875	#121	—	2	2	no	—
876	#121	—	2	2	no	—
877	#121	—	2	2	no	—
878	#121	—	2	2	no	—
879	#121	—	2	2	no	—
880	#121	—	2	2	no	—
881	#121	—	2	2	no	—
882	#121	—	2	1	no	—
883	#121	—	2	1	no	—
884	#121	—	2	1	no	—
885	#121	—	2	1	no	—
886	#121	C₂³×C₁₃	1	1	yes	characteristic
887	#121	C₂³×C₁₃	1	1	yes	characteristic
888	#121	C₂³×C₁₃	1	2	yes	—
889	#121	C₂³×C₁₃	1	2	yes	—
890	#121	C₂³×C₁₃	1	2	yes	—
891	#121	C₂³×C₁₃	1	2	yes	—
892	#121	C₂³×C₁₃	1	1	yes	characteristic
893	#121	C₂³×C₁₃	1	1	yes	characteristic
894	#121	C₂³×C₁₃	1	1	yes	characteristic
895	#121	C₂³×C₁₃	1	1	yes	characteristic
896	#120	—	2	1	no	—
897	#120	—	2	1	no	—
898	#120	—	2	1	no	—
899	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
900	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
906	C₄×D₄	—	2	1	no	—
907	C₄×D₄	—	2	1	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	—	2	1	no	—
915	C₄×D₄	C₂³×C₁₃	1	2	yes	—
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	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
925	#117	—	2	1	no	—
926	#117	—	2	1	no	—
927	#117	—	2	1	no	—
928	#117	D₄×C₁₃	1	1	yes	characteristic
929	#117	D₄×C₁₃	1	1	yes	characteristic
930	#117	D₄×C₁₃	1	1	yes	characteristic
931	#117	D₄×C₁₃	1	1	yes	characteristic
932	#117	C₂³×C₁₃	1	1	yes	characteristic
933	#117	C₂³×C₁₃	1	1	yes	characteristic
934	#117	C₂³×C₁₃	1	1	yes	characteristic
935	#117	C₂³×C₁₃	1	1	yes	characteristic
936	#117	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	—	2	1	no	—
938	C₂×C₄⋊C₄	—	2	1	no	—
939	C₂×C₄⋊C₄	—	2	1	no	—
940	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	—	2	1	no	—
946	C₂×C₂²⋊C₄	—	2	1	no	—
947	C₂×C₂²⋊C₄	—	2	1	no	—
948	C₂×C₂²⋊C₄	—	2	1	no	—
949	C₂×C₂²⋊C₄	—	2	1	no	—
950	C₂×C₂²⋊C₄	—	2	1	no	—
951	C₂×C₂²⋊C₄	—	2	1	no	—
952	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
954	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
956	#107	C₂³×C₁₃	1	2	yes	—
957	#107	C₂³×C₁₃	1	2	yes	—
958	#107	C₂³×C₁₃	1	2	yes	—
959	#107	C₂³×C₁₃	1	2	yes	—
960	#106	C₂³×C₁₃	1	2	yes	—
961	#106	C₂³×C₁₃	1	2	yes	—
962	#106	C₂³×C₁₃	1	2	yes	—
963	#106	C₂³×C₁₃	1	2	yes	—
964	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
965	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
966	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
967	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
968	#103	C₂³×C₁₃	1	2	yes	—
969	#103	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	#102	C₂³×C₁₃	1	2	yes	—
982	#102	C₂³×C₁₃	1	2	yes	—
983	#102	C₂³×C₁₃	1	2	yes	—
984	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
985	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
986	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
987	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
988	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
989	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
990	#97	C₂³×C₁₃	1	2	yes	—
991	#97	C₂³×C₁₃	1	2	yes	—
992	C₄×C₈	C₂³×C₁₃	1	2	yes	—
993	C₄×C₈	C₂³×C₁₃	1	2	yes	—
994	C₂×C₁₃	—	2	2	no	—
995	C₂×C₁₃	—	4	1	no	—
996	C₂×C₁₃	—	4	1	no	—
997	C₂×C₁₃	—	8	1	no	—
998	C₂×C₁₃	—	8	2	no	—
999	C₂×C₁₃	—	8	2	no	—
1000	C₂×C₁₃	—	8	1	no	—
1001	C₂×C₁₃	—	8	1	no	—
1002	C₂×C₁₃	#3449	1	1	yes	characteristic
1003	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1004	C₂×C₁₃	#3585	1	1	yes	characteristic
1005	C₂⁴	—	2	1	no	—
1006	C₂⁴	—	2	1	no	—
1007	C₂⁴	—	2	1	no	—
1008	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	#41	—	4	2	no	—
1010	#41	—	8	2	no	—
1011	#41	—	8	2	no	—
1012	C₂×Q₈	—	2	1	no	—
1013	C₂×Q₈	—	2	1	no	—
1014	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1015	C₂×D₄	—	2	1	no	—
1016	C₂×D₄	—	2	1	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	2	no	—
1021	C₂×D₄	—	2	2	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	—	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	—	4	2	no	—
1038	C₂×D₄	—	4	2	no	—
1039	C₂×D₄	—	4	2	no	—
1040	C₂×D₄	—	8	2	no	—
1041	C₂×D₄	—	8	2	no	—
1042	C₂×D₄	—	8	2	no	—
1043	C₂×D₄	—	8	2	no	—
1044	C₂×D₄	—	8	2	no	—
1045	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1046	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1047	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1048	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1049	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1050	C₂²×C₄	—	2	1	no	—
1051	C₂²×C₄	—	2	1	no	—
1052	C₂²×C₄	—	2	1	no	—
1053	C₂²×C₄	—	2	1	no	—
1054	C₂²×C₄	—	2	1	no	—
1055	C₂²×C₄	—	2	1	no	—
1056	C₂²×C₄	—	2	1	no	—
1057	C₂²×C₄	—	2	1	no	—
1058	C₂²×C₄	—	2	1	no	—
1059	C₂²×C₄	—	2	1	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	4	2	no	—
1065	C₂²×C₄	—	8	2	no	—
1066	C₂²×C₄	—	8	2	no	—
1067	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1077	SD₁₆	—	4	2	no	—
1078	SD₁₆	—	4	2	no	—
1079	D₈	—	4	2	no	—
1080	D₈	—	4	2	no	—
1081	D₈	—	4	2	no	—
1082	D₈	—	4	2	no	—
1083	D₈	—	4	2	no	—
1084	D₈	—	4	2	no	—
1085	M₁₆	—	4	2	no	—
1086	C₂×C₈	—	4	2	no	—
1087	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1088	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1089	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1090	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	—	2	1	no	—
1100	C₄⋊C₄	—	2	1	no	—
1101	C₄⋊C₄	—	2	1	no	—
1102	C₄⋊C₄	—	2	1	no	—
1103	C₄⋊C₄	—	2	1	no	—
1104	C₄⋊C₄	—	2	1	no	—
1105	C₄⋊C₄	—	2	1	no	—
1106	C₄⋊C₄	—	2	1	no	—
1107	C₄⋊C₄	—	2	1	no	—
1108	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1109	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1111	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1113	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1115	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1116	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1118	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1119	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1120	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1121	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
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	1	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	2	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	1	no	—
1134	C₂²⋊C₄	—	2	1	no	—
1135	C₂²⋊C₄	—	2	1	no	—
1136	C₂²⋊C₄	—	2	1	no	—
1137	C₂²⋊C₄	—	2	2	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	2	no	—
1140	C₂²⋊C₄	—	2	2	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	C₂×D₄×C₁₃	1	1	yes	characteristic
1150	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1152	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1153	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1154	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1156	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1157	C₄²	—	2	1	no	—
1158	C₄²	—	2	1	no	—
1159	C₄²	—	2	1	no	—
1160	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1161	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1162	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1163	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1164	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1165	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1166	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1167	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1168	C₁₃	#60978	1	1	yes	characteristic, direct product factor, Sylow
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	2	no	—
1174	C₂³	—	2	2	no	—
1175	C₂³	—	4	1	no	—
1176	C₂³	—	4	1	no	—
1177	C₂³	—	4	2	no	—
1178	C₂³	—	4	2	no	—
1179	C₂³	—	4	2	no	—
1180	C₂³	—	4	2	no	—
1181	C₂³	—	4	2	no	—
1182	C₂³	—	4	2	no	—
1183	C₂³	—	4	2	no	—
1184	C₂³	—	8	1	no	—
1185	C₂³	—	8	1	no	—
1186	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1187	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1188	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1189	Q₈	—	2	2	no	—
1190	Q₈	—	8	1	no	—
1191	Q₈	—	8	1	no	—
1192	D₄	—	2	2	no	—
1193	D₄	—	2	2	no	—
1194	D₄	—	2	2	no	—
1195	D₄	—	2	2	no	—
1196	D₄	—	2	2	no	—
1197	D₄	—	2	2	no	—
1198	D₄	—	2	2	no	—
1199	D₄	—	4	2	no	—
1200	D₄	—	4	2	no	—
1201	D₄	—	4	2	no	—
1202	D₄	—	4	2	no	—
1203	D₄	—	4	2	no	—
1204	D₄	—	4	2	no	—
1205	D₄	—	4	2	no	—
1206	D₄	—	8	2	no	—
1207	D₄	—	8	2	no	—
1208	D₄	—	8	2	no	—
1209	D₄	—	8	2	no	—
1210	D₄	—	8	1	no	—
1211	D₄	—	8	1	no	—
1212	D₄	—	8	1	no	—
1213	D₄	—	8	1	no	—
1214	D₄	—	8	2	no	—
1215	D₄	—	8	2	no	—
1216	D₄	—	8	1	no	—
1217	D₄	—	8	1	no	—
1218	D₄	—	8	2	no	—
1219	D₄	—	8	2	no	—
1220	D₄	—	8	1	no	—
1221	C₂×C₄	—	2	2	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	2	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	4	1	no	—
1234	C₂×C₄	—	4	1	no	—
1235	C₂×C₄	—	4	1	no	—
1236	C₂×C₄	—	4	1	no	—
1237	C₂×C₄	—	4	1	no	—
1238	C₂×C₄	—	4	2	no	—
1239	C₂×C₄	—	4	2	no	—
1240	C₂×C₄	—	4	2	no	—
1241	C₂×C₄	—	8	2	no	—
1242	C₂×C₄	—	8	2	no	—
1243	C₂×C₄	—	8	2	no	—
1244	C₂×C₄	—	8	2	no	—
1245	C₂×C₄	—	8	1	no	—
1246	C₂×C₄	—	8	1	no	—
1247	C₂×C₄	—	8	1	no	—
1248	C₂×C₄	—	8	1	no	—
1249	C₂×C₄	—	8	1	no	—
1250	C₂×C₄	—	8	1	no	—
1251	C₂×C₄	—	8	1	no	—
1252	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1253	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1254	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1255	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1256	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1257	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1258	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1259	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1260	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1261	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1262	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1263	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1264	C₈	—	2	2	no	—
1265	C₈	—	2	2	no	—
1266	C₈	—	2	2	no	—
1267	C₈	—	2	2	no	—
1268	C₂²	—	2	1	no	—
1269	C₂²	—	2	1	no	—
1270	C₂²	—	2	1	no	—
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	1	no	—
1274	C₂²	—	2	1	no	—
1275	C₂²	—	2	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	2	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	1	no	—
1280	C₂²	—	4	2	no	—
1281	C₂²	—	4	2	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	2	no	—
1285	C₂²	—	4	1	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	2	no	—
1288	C₂²	—	4	2	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	1	no	—
1291	C₂²	—	8	2	no	—
1292	C₂²	—	8	4	no	—
1293	C₂²	—	8	4	no	—
1294	C₂²	—	16	2	no	—
1295	C₂²	C₁₃×#576	1	2	yes	—
1296	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1297	C₄	—	2	1	no	—
1298	C₄	—	2	1	no	—
1299	C₄	—	2	1	no	—
1300	C₄	—	2	1	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	1	no	—
1303	C₄	—	2	1	no	—
1304	C₄	—	2	1	no	—
1305	C₄	—	2	1	no	—
1306	C₄	—	2	1	no	—
1307	C₄	—	2	1	no	—
1308	C₄	—	4	2	no	—
1309	C₄	—	4	1	no	—
1310	C₄	—	4	1	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	2	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	C₁₃×#585	1	2	yes	—
1316	C₂	—	2	2	no	—
1317	C₂	—	4	1	no	—
1318	C₂	—	4	1	no	—
1319	C₂	—	8	2	no	—
1320	C₂	—	8	2	no	—
1321	C₂	—	8	1	no	—
1322	C₂	—	8	1	no	—
1323	C₂	—	8	1	no	—
1324	C₂	C₁₃×#3449	1	1	yes	characteristic
1325	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1326	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 ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3494	C₂	semidirect
2. C₂×C₁₃×#540	C₂	semidirect
3. C₁₃×#3259	C₂	semidirect
4. C₁₃×#3257	C₂	semidirect
5. C₁₃×#3241	C₂	semidirect
6. C₁₃×#3234	C₂	semidirect
7. C₁₃×#3232	C₂	semidirect
8. C₁₃×#3220	C₂	semidirect
9. C₁₃×#3217	C₂	semidirect
10. C₁₃×#3205	C₂	semidirect
11. C₁₃×#3194	C₂	semidirect
12. C₁₃×#3192	C₂	semidirect
13. C₁₃×#3188	C₂	semidirect
14. C₁₃×#3186	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3176	C₂	semidirect
17. C₁₃×#3122	C₂	semidirect
18. C₁₃×#3119	C₂	semidirect
19. C₁₃×#3114	C₂	semidirect
20. C₁₃×#3109	C₂	semidirect
21. C₁₃×#3105	C₂	semidirect
22. C₁₃×#3100	C₂	semidirect
23. C₁₃×#2924	C₂	semidirect
32. C₁₃×#544	C₂²	semidirect
33. C₁₃×#542	C₂²	semidirect
34. C₁₃×#542	C₂²	semidirect
41. C₁₃×#540	C₂²	semidirect
42. C₁₃×#540	C₂²	semidirect
43. C₁₃×#540	C₂²	semidirect
44. C₁₃×#540	C₂²	semidirect
45. C₁₃×#535	C₂²	semidirect
48. C₂×C₁₃×#127	C₂²	semidirect
51. C₂×C₁₃×#125	C₂²	semidirect
60. C₁₃×#520	C₂²	semidirect
61. C₁₃×#518	C₂²	semidirect
62. C₂×C₄×D₄×C₁₃	C₂²	semidirect
63. C₂×C₄×D₄×C₁₃	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
67. C₁₃×#496	C₂²	semidirect
68. C₁₃×#493	C₂²	semidirect
69. C₁₃×#490	C₂²	semidirect
70. C₁₃×#490	C₂²	semidirect
71. C₁₃×#488	C₂²	semidirect
72. C₁₃×#486	C₂²	semidirect
73. C₁₃×#484	C₂²	semidirect
74. C₁₃×#483	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
76. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#481	C₂²	semidirect
83. C₁₃×#480	C₂²	semidirect
84. C₁₃×#480	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#478	C₂²	semidirect
87. C₁₃×#478	C₂²	semidirect
88. C₁₃×#478	C₂²	semidirect
89. C₁₃×#478	C₂²	semidirect
90. C₁₃×#478	C₂²	semidirect
91. C₁₃×#476	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×#459	C₂²	semidirect
105. C₁₃×#459	C₂²	semidirect
106. C₁₃×#459	C₂²	semidirect
107. C₁₃×#459	C₂²	semidirect
108. C₁₃×#459	C₂²	semidirect
109. C₁₃×#450	C₂²	semidirect
110. C₁₃×#450	C₂²	semidirect
111. C₁₃×#449	C₂²	semidirect
112. C₁₃×#449	C₂²	semidirect
117. C₁₃×#447	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×#424	C₂²	semidirect
138. C₁₃×#405	C₂²	semidirect
342. #60978	C₁₃	direct (N × H)
506. #3494	C₂×C₁₃	semidirect
507. C₂×#540	C₂×C₁₃	semidirect
508. #3259	C₂×C₁₃	semidirect
509. #3257	C₂×C₁₃	semidirect
510. #3241	C₂×C₁₃	semidirect
511. #3234	C₂×C₁₃	semidirect
512. #3232	C₂×C₁₃	semidirect
513. #3220	C₂×C₁₃	semidirect
514. #3217	C₂×C₁₃	semidirect
515. #3205	C₂×C₁₃	semidirect
516. #3194	C₂×C₁₃	semidirect
517. #3192	C₂×C₁₃	semidirect
518. #3188	C₂×C₁₃	semidirect
519. #3186	C₂×C₁₃	semidirect
520. #3179	C₂×C₁₃	semidirect
521. #3176	C₂×C₁₃	semidirect
522. #3122	C₂×C₁₃	semidirect
523. #3119	C₂×C₁₃	semidirect
524. #3114	C₂×C₁₃	semidirect
525. #3109	C₂×C₁₃	semidirect
526. #3105	C₂×C₁₃	semidirect
527. #3100	C₂×C₁₃	semidirect
528. #2924	C₂×C₁₃	semidirect
636. #544	C₂²×C₁₃	semidirect
637. #542	C₂²×C₁₃	semidirect
638. #542	C₂²×C₁₃	semidirect
645. #540	C₂²×C₁₃	semidirect
646. #540	C₂²×C₁₃	semidirect
647. #540	C₂²×C₁₃	semidirect
648. #540	C₂²×C₁₃	semidirect
649. #535	C₂²×C₁₃	semidirect
652. C₂×#127	C₂²×C₁₃	semidirect
655. C₂×#125	C₂²×C₁₃	semidirect
664. #520	C₂²×C₁₃	semidirect
665. #518	C₂²×C₁₃	semidirect
666. C₂×C₄×D₄	C₂²×C₁₃	semidirect
667. C₂×C₄×D₄	C₂²×C₁₃	semidirect
669. #501	C₂²×C₁₃	semidirect
670. #499	C₂²×C₁₃	semidirect
671. #496	C₂²×C₁₃	semidirect
672. #493	C₂²×C₁₃	semidirect
673. #490	C₂²×C₁₃	semidirect
674. #490	C₂²×C₁₃	semidirect
675. #488	C₂²×C₁₃	semidirect
676. #486	C₂²×C₁₃	semidirect
677. #484	C₂²×C₁₃	semidirect
678. #483	C₂²×C₁₃	semidirect
679. #482	C₂²×C₁₃	semidirect
680. #482	C₂²×C₁₃	semidirect
683. #481	C₂²×C₁₃	semidirect
684. #481	C₂²×C₁₃	semidirect
687. #480	C₂²×C₁₃	semidirect
688. #480	C₂²×C₁₃	semidirect
689. #479	C₂²×C₁₃	semidirect
690. #478	C₂²×C₁₃	semidirect
691. #478	C₂²×C₁₃	semidirect
692. #478	C₂²×C₁₃	semidirect
693. #478	C₂²×C₁₃	semidirect
694. #478	C₂²×C₁₃	semidirect
695. #476	C₂²×C₁₃	semidirect
696. #474	C₂²×C₁₃	semidirect
697. #469	C₂²×C₁₃	semidirect
698. #469	C₂²×C₁₃	semidirect
699. #469	C₂²×C₁₃	semidirect
700. #468	C₂²×C₁₃	semidirect
701. #466	C₂²×C₁₃	semidirect
702. #466	C₂²×C₁₃	semidirect
703. #466	C₂²×C₁₃	semidirect
704. #465	C₂²×C₁₃	semidirect
705. #463	C₂²×C₁₃	semidirect
706. #463	C₂²×C₁₃	semidirect
707. #460	C₂²×C₁₃	semidirect
708. #459	C₂²×C₁₃	semidirect
709. #459	C₂²×C₁₃	semidirect
710. #459	C₂²×C₁₃	semidirect
711. #459	C₂²×C₁₃	semidirect
712. #459	C₂²×C₁₃	semidirect
713. #450	C₂²×C₁₃	semidirect
714. #450	C₂²×C₁₃	semidirect
715. #449	C₂²×C₁₃	semidirect
716. #449	C₂²×C₁₃	semidirect
721. #447	C₂²×C₁₃	semidirect
722. #447	C₂²×C₁₃	semidirect
723. #447	C₂²×C₁₃	semidirect
724. #447	C₂²×C₁₃	semidirect
725. #442	C₂²×C₁₃	semidirect
726. #442	C₂²×C₁₃	semidirect
727. #442	C₂²×C₁₃	semidirect
728. #440	C₂²×C₁₃	semidirect
729. C₄×SD₁₆	C₂²×C₁₃	semidirect
730. C₄×D₈	C₂²×C₁₃	semidirect
731. C₄×D₈	C₂²×C₁₃	semidirect
732. C₄×D₈	C₂²×C₁₃	semidirect
733. #433	C₂²×C₁₃	semidirect
734. #433	C₂²×C₁₃	semidirect
735. #432	C₂²×C₁₃	semidirect
736. #432	C₂²×C₁₃	semidirect
737. #431	C₂²×C₁₃	semidirect
738. #431	C₂²×C₁₃	semidirect
739. #424	C₂²×C₁₃	semidirect
742. #405	C₂²×C₁₃	semidirect
1168. C₁₃	#60978	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×#3494	2
C₂×C₁₃×#540	2
C₁₃×#3259	2
C₁₃×#3257	2
C₁₃×#3241	2
C₁₃×#3234	2
C₁₃×#3232	2
C₁₃×#3220	2
C₁₃×#3217	2
C₁₃×#3205	2
C₁₃×#3194	2
C₁₃×#3192	2
C₁₃×#3188	2
C₁₃×#3186	2
C₁₃×#3179	2
C₁₃×#3176	2
C₁₃×#3122	2
C₁₃×#3119	2
C₁₃×#3114	2
C₁₃×#3109	2
C₁₃×#3105	2
C₁₃×#3100	2
C₁₃×#2924	2
#60978	13

Subgroups — C13×#60978 #15747317

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60978 #15747317