Finite Group Databasebeta

← #16071888

Subgroups — #16071888

Order 3328.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13123153C211yesmaximal, characteristic, complemented
2#13123144C211yesmaximal, characteristic, complemented
3#13122818C211yesmaximal, characteristic, complemented
4#13122708C211yesmaximal, characteristic, complemented
5#13122681C211yesmaximal, characteristic, complemented
6#13122670C211yesmaximal, characteristic, complemented
7#13122651C211yesmaximal, characteristic, complemented
8#13122544C211yesmaximal, characteristic, complemented
9#13122529C211yesmaximal, characteristic, complemented
10#13122517C211yesmaximal, characteristic, complemented
11#13122505C211yesmaximal, characteristic, complemented
12#13122433C211yesmaximal, characteristic, complemented
13#13122415C211yesmaximal, characteristic, complemented
14#13122376C211yesmaximal, characteristic, complemented
15#13121797C211yesmaximal, characteristic, complemented
16#13121736C211yesmaximal, characteristic, complemented
17#13121691C211yesmaximal, characteristic, complemented
18#13121354C211yesmaximal, characteristic, complemented
19#13120643C211yesmaximal, characteristic, complemented
20#13120614C211yesmaximal, characteristic
21#13119341C211yesmaximal, characteristic, complemented
22#13119280C211yesmaximal, characteristic, complemented
23#13119112C211yesmaximal, characteristic, complemented
24#13119089C211yesmaximal, characteristic, complemented
25#13118656C211yesmaximal, characteristic, complemented
26#13118304C211yesmaximal, characteristic
27#13118215C211yesmaximal, characteristic
28#13117502C211yesmaximal, characteristic, complemented
29#13117456C211yesmaximal, characteristic, complemented
30C2×#11718331C211yesmaximal, characteristic, complemented
31C13×#2438C211yesmaximal, characteristic, complemented
32C2×C13×C22⋊Q8C2211yescharacteristic
33C2×C13×#117C2211yescharacteristic
34C2×#88183C2211yescharacteristic
35C22×#6103C2211yescharacteristic
36C22×#6103C2211yescharacteristic
37C22×#6103C2211yescharacteristic
38C2×#88180C2211yescharacteristic
39C22×C4⋊Dic13C2211yescharacteristic
40C22×C4×Dic13C2211yescharacteristic
41C2×#88152C2211yescharacteristic
42C2×#88152C2211yescharacteristic, complemented
43C2×#88148C2211yescharacteristic
44C2×#88144C2211yescharacteristic, complemented
45C2×#88136C2211yescharacteristic
46C2×#88135C2211yescharacteristic
47C13×#400C2211yescharacteristic, complemented
48C13×#398C2211yescharacteristic, complemented
49C13×#398C2211yescharacteristic, complemented
50C13×#395C2211yescharacteristic, complemented
51C13×#391C2211yescharacteristic, complemented
52C13×#389C2211yescharacteristic, complemented
53C13×#387C2211yescharacteristic, complemented
54C13×#387C2211yescharacteristic, complemented
55C13×#385C2211yescharacteristic
56C13×#385C2211yescharacteristic
57C13×#381C2211yescharacteristic
58C13×#380C2211yescharacteristic
59C2×C13×#95C2211yescharacteristic
60#11718892C2211yescharacteristic
61#11718892C2211yescharacteristic
62#11718892C2211yescharacteristic, complemented
63#11718891C2211yescharacteristic, complemented
64#11718874C2211yescharacteristic
65#11718874C2211yescharacteristic
66#11718873C2211yescharacteristic
67#11718873C2211yescharacteristic
68C2×#88071C2211yescharacteristic
69#11718655C2211yescharacteristic
70#11718655C2211yescharacteristic
71#11718655C2211yescharacteristic
72#11718655C2211yescharacteristic
73#11718655C2211yescharacteristic
74#11718655C2211yescharacteristic
75#11718655C2211yescharacteristic
76#11718655C2211yescharacteristic, complemented
77#11718654C2211yescharacteristic
78#11718654C2211yescharacteristic
79#11718654C2211yescharacteristic
80#11718653C2211yescharacteristic
81#11718653C2211yescharacteristic
82#11718653C2211yescharacteristic
83#11718652C2211yescharacteristic
84#11718652C2211yescharacteristic
85#11718652C2211yescharacteristic
86#11718652C2211yescharacteristic
87#11718652C2211yescharacteristic
88#11718651C2211yescharacteristic
89#11718651C2211yescharacteristic
90#11718651C2211yescharacteristic, complemented
91#11718650C2211yescharacteristic, complemented
92#11718648C2211yescharacteristic, complemented
93#11718647C2211yescharacteristic, complemented
94#11718647C2211yescharacteristic, complemented
95#11718646C2211yescharacteristic, complemented
96#11718646C2211yescharacteristic, complemented
97#11718645C2211yescharacteristic, complemented
98#11718643C2211yescharacteristic, complemented
99#11718642C2211yescharacteristic, complemented
100#11718639C2211yescharacteristic, complemented
101#11718639C2211yescharacteristic, complemented
102#11718638C2211yescharacteristic, complemented
103#11718638C2211yescharacteristic, complemented
104#11718638C2211yescharacteristic, complemented
105#11718638C2211yescharacteristic, complemented
106#11718637C2211yescharacteristic, complemented
107#11718637C2211yescharacteristic, complemented
108#11718634C2211yescharacteristic, complemented
109#11718619C2211yescharacteristic
110#11718619C2211yescharacteristic
111#11718616C2211yescharacteristic
112#11718616C2211yescharacteristic
113#11718616C2211yescharacteristic
114#11718611C2211yescharacteristic
115#11718611C2211yescharacteristic
116#11718611C2211yescharacteristic
117#11718607C2211yescharacteristic
118#11718607C2211yescharacteristic
119#11718607C2211yescharacteristic
120#11718607C2211yescharacteristic
121#11718607C2211yescharacteristic
122C22⋊C4×Dic13C2211yescharacteristic
123#11718601C2211yescharacteristic
124#11718601C2211yescharacteristic
125#11718600C2211yescharacteristic
126#11718600C2211yescharacteristic
127#11718589C2211yescharacteristic, complemented
128#11718589C2211yescharacteristic, complemented
129#11718589C2211yescharacteristic, complemented
130#11718589C2211yescharacteristic, complemented
131#11718338C2211yescharacteristic
132#11718338C2211yescharacteristic
133#11718338C2211yescharacteristic, complemented
134#11718336C2211yescharacteristic
135#11718336C2211yescharacteristic
136#11718336C2211yescharacteristic
137#11718336C2211yescharacteristic
138#11718335C2211yescharacteristic
139#11718335C2211yescharacteristic
140#11718335C2211yescharacteristic
141#11718335C2211yescharacteristic, complemented
142#11718333C2211yescharacteristic
143#11718333C2211yescharacteristic
144#11718333C2211yescharacteristic
145#11718331C2211yescharacteristic
146#11718331C2211yescharacteristic
147#11718331C2211yescharacteristic
148#11718331C2211yescharacteristic
149#11718331C2211yescharacteristic
150#11718331C2211yescharacteristic
151#11718331C2211yescharacteristic
152#11718331C2211yescharacteristic
153#11718331C2211yescharacteristic
154#11718331C2211yescharacteristic
155#11718331C2211yescharacteristic
156#11718331C2211yescharacteristic
157#11718331C2211yescharacteristic
158#11718331C2211yescharacteristic, complemented
159#11718331C2211yescharacteristic, complemented
160#11718331C2211yescharacteristic, complemented
161#11718331C2211yescharacteristic, complemented
162#11718331C2211yescharacteristic, complemented
163#11718330C2211yescharacteristic
164#11718330C2211yescharacteristic
165#11718330C2211yescharacteristic, complemented
166#11718329C2211yescharacteristic, complemented
167#11718329C2211yescharacteristic, complemented
168#11718326C2211yescharacteristic
169#11718322C2211yescharacteristic, complemented
170#11718322C2211yescharacteristic, complemented
171#11718321C2211yescharacteristic, complemented
172#11718320C2211yescharacteristic, complemented
173#11718316C2211yescharacteristic, complemented
174#11718316C2211yescharacteristic, complemented
175#11718316C2211yescharacteristic, complemented
176#11718316C2211yescharacteristic, complemented
177#11718316C2211yescharacteristic, complemented
178#11718315C2211yescharacteristic, complemented
179#11718315C2211yescharacteristic, complemented
180#11718315C2211yescharacteristic, complemented
181#11718315C2211yescharacteristic, complemented
182#11718314C2211yescharacteristic, complemented
183#11718314C2211yescharacteristic, complemented
184#11718312C2211yescharacteristic, complemented
185#11718308C2211yescharacteristic, complemented
186#11718308C2211yescharacteristic, complemented
187C24×D13C2311yescharacteristic
188C22×Q8×C13C2311yescharacteristic
189C23×C4×C13C2311yescharacteristic
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C22×C22⋊D13C2311yescharacteristic
193C23×Dic13C2311yescharacteristic
194C23×Dic13C2311yescharacteristic
195C23×Dic13C2311yescharacteristic
196C22×D52C2311yescharacteristic
197C22×D52C2311yescharacteristic
198C22×C4×D13C2311yescharacteristic
199C13×C22⋊Q8—42no—
200C13×#117—42no—
201C2×C13×C4⋊C4C2311yescharacteristic
202C2×C13×C4⋊C4C2311yescharacteristic
203C2×C13×C4⋊C4C2311yescharacteristic
204C2×C13×C4⋊C4C2311yescharacteristic
205C2×C13×C4⋊C4C2311yescharacteristic
206C2×C13×C4⋊C4C2311yescharacteristic
207C2×C13×C4⋊C4C2311yescharacteristic
208C2×C13×C4⋊C4C2311yescharacteristic
209C2×C13×C4⋊C4C2311yescharacteristic
210C2×C13×C4⋊C4C2311yescharacteristic
211C2×C13×C4⋊C4C2311yescharacteristic
212C2×C13×C22⋊C4C2311yescharacteristic
213C2×C13×C22⋊C4C2311yescharacteristic
214C2×C13×C22⋊C4C2311yescharacteristic
215C2×C13×C22⋊C4C2311yescharacteristic
216C2×C42×C13C2311yescharacteristic
217C2×C42×C13C2311yescharacteristic
218C2×C22⋊Dic13C2311yescharacteristic
219C2×C22⋊Dic13C2311yescharacteristic
220C2×C22⋊Dic13C2311yescharacteristic
221#88183—24no—
222C2×#6103—24no—
223C2×#6103—42no—
224C2×#6103—42no—
225C2×#6103C2311yescharacteristic
226C2×#6103C2311yescharacteristic
227C2×#6103C2311yescharacteristic
228C2×#6103C2311yescharacteristic
229C2×#6103C2311yescharacteristic
230C2×#6103C2311yescharacteristic
231C2×#6103C2311yescharacteristic
232C2×#6103C2311yescharacteristic
233C2×#6103C2311yescharacteristic
234C2×#6103C2311yescharacteristic
235C2×#6103C2311yescharacteristic
236C2×#6103C2311yescharacteristic
237C2×#6103C2311yescharacteristic
238C2×#6103C2311yescharacteristic
239C2×#6103C2311yescharacteristic
240C2×#6103C2311yescharacteristic
241C2×#6103C2311yescharacteristic
242C2×#6103C2311yescharacteristic
243C2×#6103C2311yescharacteristic
244C2×#6103C2311yescharacteristic
245C2×#6103C2311yescharacteristic
246C2×#6103C2311yescharacteristic
247C2×#6103C2311yescharacteristic
248C2×#6103C2311yescharacteristic
249C2×#6103C2311yescharacteristic
250C2×#6103C2311yescharacteristic
251C2×#6103C2311yescharacteristic
252C2×#6103C2311yescharacteristic
253C2×#6103C2311yescharacteristic
254C2×#6103C2311yescharacteristic
255C2×#6103C2311yescharacteristic
256C2×#6103C2311yescharacteristic
257C2×#6103C2311yescharacteristic
258C2×#6103C2311yescharacteristic
259C2×#6103C2311yescharacteristic
260C2×#6103C2311yescharacteristic
261C2×#6103C2311yescharacteristic
262#88180—24no—
263C2×C4⋊Dic13—42no—
264C2×C4⋊Dic13C2311yescharacteristic
265C2×C4⋊Dic13C2311yescharacteristic
266C2×C4⋊Dic13C2311yescharacteristic
267C2×C4⋊Dic13C2311yescharacteristic
268C2×C4⋊Dic13C2311yescharacteristic
269C2×C4⋊Dic13C2311yescharacteristic
270C2×C4⋊Dic13C2311yescharacteristic
271C2×C4⋊Dic13C2311yescharacteristic
272C2×C4⋊Dic13C2311yescharacteristic
273C2×C4⋊Dic13C2311yescharacteristic
274C2×C4⋊Dic13C2311yescharacteristic
275C2×C4⋊Dic13C2311yescharacteristic
276C2×C4⋊Dic13C2311yescharacteristic
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2311yescharacteristic
279C2×C4⋊Dic13C2311yescharacteristic
280C2×#6101C2311yescharacteristic
281C2×#6101C2311yescharacteristic
282C2×#6101C2311yescharacteristic
283C2×#6101C2311yescharacteristic
284C2×#6101C2311yescharacteristic
285C2×#6101C2311yescharacteristic
286C2×#6101C2311yescharacteristic
287C2×#6101C2311yescharacteristic
288C2×#6101C2311yescharacteristic
289C2×#6101C2311yescharacteristic
290C2×#6101C2311yescharacteristic
291C2×#6101C2311yescharacteristic
292C2×#6101C2311yescharacteristic
293C2×C4×Dic13—42no—
294C2×C4×Dic13C2311yescharacteristic
295C2×C4×Dic13C2311yescharacteristic
296C2×C4×Dic13C2311yescharacteristic
297C2×C4×Dic13C2311yescharacteristic
298C2×C4×Dic13C2311yescharacteristic
299C2×C4×Dic13C2311yescharacteristic
300C2×C4×Dic13C2311yescharacteristic
301C2×C4×Dic13C2311yescharacteristic
302C2×C4×Dic13C2311yescharacteristic
303#88152—42no—
304#88152—42no—
305#88148—42no—
306#88144—42no—
307#88136—42no—
308#88135—42no—
309C13×#95C2311yescharacteristic
310C13×#95C2311yescharacteristic
311C13×#95C2311yescharacteristic
312C13×#95C2311yescharacteristic
313C13×#95C2311yescharacteristic
314C13×#95C2311yescharacteristic
315C13×#95C2311yescharacteristic
316C13×#95C2311yescharacteristic
317C13×#95C2311yescharacteristic
318C13×#95C2311yescharacteristic
319C13×#95C2311yescharacteristic
320C13×#95C2311yescharacteristic
321C13×#95C2311yescharacteristic
322C13×#95C2311yescharacteristic
323#88071C2311yescharacteristic
324#88071C2311yescharacteristic
325#88071C2311yescharacteristic
326#88071C2311yescharacteristic
327#88071C2311yescharacteristic
328#88071C2311yescharacteristic
329#88071C2311yescharacteristic
330#88071C2311yescharacteristic
331#88071C2311yescharacteristic
332#88071C2311yescharacteristic
333#88071C2311yescharacteristic
334#88071C2311yescharacteristic
335#88071C2311yescharacteristic
336#88071C2311yescharacteristic
337#88071C2311yescharacteristic
338#88071C2311yescharacteristic
339#88071C2311yescharacteristic
340#88071C2311yescharacteristic
341#88071C2311yescharacteristic
342#88071C2311yescharacteristic
343#88071C2311yescharacteristic
344#88071C2311yescharacteristic
345#88071C2311yescharacteristic
346#88071C2311yescharacteristic
347#88071C2311yescharacteristic
348#88071C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#36796—131nomaximal, Sylow
358C24×C13C2411yescharacteristic
359C23×D13—22no—
360C23×D13—22no—
361C23×D13—22no—
362C23×D13—41no—
363C23×D13—41no—
364C23×D13—41no—
365C23×D13—41no—
366C23×D13C2411yescharacteristic
367C23×D13C2411yescharacteristic
368C23×D13C2411yescharacteristic
369C2×Q8×C13—41no—
370C2×Q8×C13—41no—
371C2×Q8×C13—41no—
372C22×C4×C13—22no—
373C22×C4×C13—22no—
374C22×C4×C13—22no—
375C22×C4×C13—22no—
376C22×C4×C13—22no—
377C22×C4×C13—41no—
378C22×C4×C13—41no—
379C22×C4×C13—41no—
380C22×C4×C13#4114yes—
381C22×C4×C13C2411yescharacteristic
382C22×C4×C13C2411yescharacteristic
383C22×C4×C13C2411yescharacteristic
384C22×C4×C13C2411yescharacteristic
385C22×C4×C13C2411yescharacteristic
386C22×C4×C13C2411yescharacteristic
387C22×C4×C13C2411yescharacteristic
388C22×C4×C13C2411yescharacteristic
389C22×C4×C13C2411yescharacteristic
390C22×C4×C13C2411yescharacteristic
391C22×C4×C13C2411yescharacteristic
392C22×C4×C13C2411yescharacteristic
393C22×C4×C13C2411yescharacteristic
394C22×C4×C13C2411yescharacteristic
395C2×C22⋊D13—22no—
396C2×C22⋊D13—22no—
397C2×C22⋊D13—22no—
398C22×Dic13—22no—
399C22×Dic13—22no—
400C22×Dic13—22no—
401C22×Dic13—41no—
402C22×Dic13—41no—
403C22×Dic13—41no—
404C22×Dic13—41no—
405C22×Dic13—41no—
406C22×Dic13—41no—
407C22×Dic13C2411yescharacteristic
408C22×Dic13C2411yescharacteristic
409C22×Dic13C2411yescharacteristic
410C22×Dic13C2411yescharacteristic
411C22×Dic13C2411yescharacteristic
412C22×Dic13C2411yescharacteristic
413C22×Dic13C2411yescharacteristic
414C22×Dic13C2411yescharacteristic
415C22×Dic13C2411yescharacteristic
416C22×Dic13C2411yescharacteristic
417C22×Dic13C2411yescharacteristic
418C22×Dic13C2411yescharacteristic
419C22×Dic13C2411yescharacteristic
420C2×D52—41no—
421C2×D52—41no—
422C2×D52—41no—
423C2×D52—41no—
424C2×D52—41no—
425C2×D52—41no—
426C2×C4×D13—41no—
427C2×C4×D13—41no—
428C2×C4×D13—41no—
429C13×C4⋊C4—22no—
430C13×C4⋊C4—22no—
431C13×C4⋊C4—41no—
432C13×C4⋊C4—41no—
433C13×C4⋊C4—41no—
434C13×C4⋊C4—41no—
435C13×C4⋊C4—41no—
436C13×C4⋊C4—41no—
437C13×C4⋊C4—41no—
438C13×C4⋊C4—41no—
439C13×C4⋊C4—41no—
440C13×C22⋊C4—22no—
441C13×C22⋊C4—22no—
442C13×C22⋊C4—22no—
443C13×C22⋊C4—22no—
444C42×C13—41no—
445C42×C13—41no—
446C22⋊Dic13—22no—
447C22⋊Dic13—22no—
448C22⋊Dic13—22no—
449#6103—22no—
450#6103—22no—
451#6103—22no—
452#6103—22no—
453#6103—22no—
454#6103—22no—
455#6103—22no—
456#6103—22no—
457#6103—22no—
458#6103—41no—
459#6103—41no—
460#6103—41no—
461#6103—41no—
462#6103—41no—
463#6103—41no—
464#6103—41no—
465#6103—41no—
466#6103—41no—
467#6103—41no—
468#6103—41no—
469#6103—41no—
470#6103—41no—
471#6103—41no—
472#6103—41no—
473#6103—41no—
474#6103—41no—
475#6103—41no—
476#6103—41no—
477#6103—41no—
478#6103—41no—
479#6103—41no—
480#6103—41no—
481#6103—41no—
482#6103—41no—
483#6103—41no—
484#6103—41no—
485#6103—41no—
486C4⋊Dic13—22no—
487C4⋊Dic13—22no—
488C4⋊Dic13—22no—
489C4⋊Dic13—41no—
490C4⋊Dic13—41no—
491C4⋊Dic13—41no—
492C4⋊Dic13—41no—
493C4⋊Dic13—41no—
494C4⋊Dic13—41no—
495C4⋊Dic13—41no—
496C4⋊Dic13—41no—
497C4⋊Dic13—41no—
498C4⋊Dic13—41no—
499C4⋊Dic13—41no—
500C4⋊Dic13—41no—
501C4⋊Dic13—41no—
502#6101—22no—
503#6101—22no—
504#6101—41no—
505#6101—41no—
506#6101—41no—
507#6101—41no—
508#6101—41no—
509#6101—41no—
510#6101—41no—
511#6101—41no—
512#6101—41no—
513#6101—41no—
514#6101—41no—
515C4×Dic13—22no—
516C4×Dic13—22no—
517C4×Dic13—22no—
518C4×Dic13—22no—
519C4×Dic13—41no—
520C4×Dic13—41no—
521C4×Dic13—41no—
522C4×Dic13—41no—
523C4×Dic13—41no—
524#2852—131no—
525#2851—131no—
526#2808—131no—
527#2798—131no—
528#2796—131no—
529#2795—131no—
530#2793—131no—
531#2785—131no—
532#2783—131no—
533#2783—131no—
534#2781—131no—
535#2777—131no—
536#2775—131no—
537#2773—131no—
538#2727—131no—
539#2721—131no—
540#2718—131no—
541#2694—131no—
542#2626—131no—
543#2622—131no—
544#2505—131no—
545#2498—131no—
546#2482—131no—
547#2480—131no—
548#2450—131no—
549#2438D1311yescharacteristic, complemented
550#2418—131no—
551#2411—131no—
552#2322—131no—
553#2317—131no—
554C2×#388—131no—
555C23×C13—21no—
556C23×C13—21no—
557C23×C13—21no—
558C23×C13—21no—
559C23×C13C2×#4112yes—
560C23×C13H(5,𝔽2)12yes—
561C23×C132−1+412yes—
562C23×C13C2511yescharacteristic
563C22×D13—21no—
564C22×D13—21no—
565C22×D13—21no—
566C22×D13—21no—
567C22×D13—21no—
568C22×D13—21no—
569C22×D13—21no—
570C22×D13—21no—
571C22×D13—21no—
572C22×D13—21no—
573C22×D13—21no—
574C22×D13—21no—
575C22×D13—21no—
576C22×D13—21no—
577C22×D13—21no—
578C22×D13—21no—
579C22×D13—21no—
580C22×D13—21no—
581C22×D13—21no—
582C22×D13—21no—
583C22×D13—21no—
584C22×D13—44no—
585C22×D13—44no—
586C22×D13—44no—
587C22×D13—82no—
588C22×D13—82no—
589C22×D13—82no—
590C22×D13—82no—
591Q8×C13—82no—
592C2×C4×C13—28no—
593C2×C4×C13—21no—
594C2×C4×C13—21no—
595C2×C4×C13—21no—
596C2×C4×C13—21no—
597C2×C4×C13—21no—
598C2×C4×C13—21no—
599C2×C4×C13—21no—
600C2×C4×C13—21no—
601C2×C4×C13—21no—
602C2×C4×C13—21no—
603C2×C4×C13—21no—
604C2×C4×C13—21no—
605C2×C4×C13—21no—
606C2×C4×C13—21no—
607C2×C4×C13—21no—
608C2×C4×C13—21no—
609C2×C4×C13—21no—
610C2×C4×C13—21no—
611C2×C4×C13—21no—
612C2×C4×C13—21no—
613C2×C4×C13—21no—
614C2×C4×C13—21no—
615C2×C4×C13—21no—
616C2×C4×C13—21no—
617C2×C4×C13—21no—
618C2×C4×C13—21no—
619C2×C4×C13—21no—
620C2×C4×C13—21no—
621C2×C4×C13—21no—
622C2×C4×C13—21no—
623C2×C4×C13—21no—
624C2×C4×C13—21no—
625C2×C4×C13—21no—
626C2×C4×C13—21no—
627C2×C4×C13—21no—
628C2×C4×C13—21no—
629C2×C4×C13—21no—
630C2×C4×C13—21no—
631C2×C4×C13—21no—
632C2×C4×C13—44no—
633C2×C4×C13—82no—
634C2×C4×C13C2×#4112yes—
635C2×C4×C13C2×#4112yes—
636C2×C4×C13H(5,𝔽2)12yes—
637C22⋊D13—44no—
638C2×Dic13—21no—
639C2×Dic13—21no—
640C2×Dic13—21no—
641C2×Dic13—21no—
642C2×Dic13—21no—
643C2×Dic13—21no—
644C2×Dic13—21no—
645C2×Dic13—21no—
646C2×Dic13—21no—
647C2×Dic13—21no—
648C2×Dic13—21no—
649C2×Dic13—21no—
650C2×Dic13—21no—
651C2×Dic13—21no—
652C2×Dic13—21no—
653C2×Dic13—21no—
654C2×Dic13—21no—
655C2×Dic13—21no—
656C2×Dic13—21no—
657C2×Dic13—21no—
658C2×Dic13—21no—
659C2×Dic13—21no—
660C2×Dic13—21no—
661C2×Dic13—21no—
662C2×Dic13—21no—
663C2×Dic13—21no—
664C2×Dic13—21no—
665C2×Dic13—21no—
666C2×Dic13—21no—
667C2×Dic13—21no—
668C2×Dic13—21no—
669C2×Dic13—21no—
670C2×Dic13—21no—
671C2×Dic13—21no—
672C2×Dic13—21no—
673C2×Dic13—21no—
674C2×Dic13—21no—
675C2×Dic13—21no—
676C2×Dic13—21no—
677C2×Dic13—44no—
678C2×Dic13—44no—
679C2×Dic13—82no—
680D52—82no—
681D52—82no—
682C4×D13—82no—
683C2×#126—131no—
684C2×#126—131no—
685C2×#125—131no—
686C2×#123—131no—
687C2×#123—131no—
688C2×C22⋊Q8C2×D1311yescharacteristic
689C2×#120—131no—
690C2×C4×D4—131no—
691C2×#117—131no—
692C2×#117C2×D1311yescharacteristic
693C22×C4⋊C4—131no—
694C22×C22⋊C4—131no—
695C22×C22⋊C4—131no—
696C22×C22⋊C4—131no—
697C22×C42—131no—
698#400—131no—
699#400—131no—
700#400—131no—
701#400—131no—
702#400—131no—
703#400C2×D1311yescharacteristic, complemented
704#399—131no—
705#399—131no—
706#399—131no—
707#399—131no—
708#399—131no—
709#399—131no—
710#398—131no—
711#398—131no—
712#398—131no—
713#398C2×D1311yescharacteristic, complemented
714#398C2×D1311yescharacteristic, complemented
715#397—131no—
716#397—131no—
717#397—131no—
718#397—131no—
719#397—131no—
720#397—131no—
721#397—131no—
722#397—131no—
723#397—131no—
724#397—131no—
725#397—131no—
726#396—131no—
727#396—131no—
728#396—131no—
729#396—131no—
730#396—131no—
731#396—131no—
732#396—131no—
733#396—131no—
734#395C2×D1311yescharacteristic, complemented
735#394—131no—
736#394—131no—
737#394—131no—
738#394—131no—
739#394—131no—
740#394—131no—
741#394—131no—
742#394—131no—
743#393—131no—
744#393—131no—
745#393—131no—
746#391—131no—
747#391C2×D1311yescharacteristic, complemented
748#390—131no—
749#390—131no—
750#389—131no—
751#389—131no—
752#389—131no—
753#389—131no—
754#389—131no—
755#389—131no—
756#389—131no—
757#389—131no—
758#389—131no—
759#389C2×D1311yescharacteristic, complemented
760#388—131no—
761#388—131no—
762#388—131no—
763#388—131no—
764#388—131no—
765#388—131no—
766#388—131no—
767#388—131no—
768#388—131no—
769#388—131no—
770#388—131no—
771#388—131no—
772#388—131no—
773#388—131no—
774#388—131no—
775#388—131no—
776#388—131no—
777#388—131no—
778#388—131no—
779#388—131no—
780#388—131no—
781#388—131no—
782#388—131no—
783#388—131no—
784#388—131no—
785#388—131no—
786#387—131no—
787#387—131no—
788#387—131no—
789#387—131no—
790#387—131no—
791#387—131no—
792#387—131no—
793#387—131no—
794#387—131no—
795#387—131no—
796#387—131no—
797#387—131no—
798#387—131no—
799#387—131no—
800#387C2×D1311yescharacteristic, complemented
801#387C2×D1311yescharacteristic, complemented
802#386—131no—
803#386—131no—
804#386—131no—
805#386—131no—
806#386—131no—
807#385—131no—
808#385—131no—
809#385—131no—
810#385—131no—
811#385—131no—
812#385—131no—
813#385—131no—
814#385—131no—
815#385—131no—
816#385—131no—
817#385—131no—
818#385C2×D1311yescharacteristic
819#385C2×D1311yescharacteristic
820#384—131no—
821#384—131no—
822#383—131no—
823#382—131no—
824#382—131no—
825#382—131no—
826#382—131no—
827#381C2×D1311yescharacteristic
828#380—131no—
829#380—131no—
830#380—131no—
831#380C2×D1311yescharacteristic
832#379—131no—
833#379—131no—
834#379—131no—
835C4×C22⋊C4—131no—
836C2×#95—131no—
837C2×#95C2×D1311yescharacteristic
838C22×C13—22no—
839C22×C13—22no—
840C22×C13—22no—
841C22×C13—22no—
842C22×C13—22no—
843C22×C13—22no—
844C22×C13#53914yes—
845C22×C13C22×#4111yescharacteristic
846C22×C13C2×H(5,𝔽2)11yescharacteristic
847C22×C13C2×H(5,𝔽2)11yescharacteristic
848C22×C13C2×2−1+411yescharacteristic
849C22×C13#58511yescharacteristic
850C22×C13#58511yescharacteristic
851C22×C13#58511yescharacteristic
852C2×D13—41no—
853C2×D13—41no—
854C2×D13—41no—
855C2×D13—41no—
856C2×D13—41no—
857C2×D13—41no—
858C2×D13—41no—
859C2×D13—41no—
860C2×D13—41no—
861C2×D13—41no—
862C2×D13—41no—
863C2×D13—41no—
864C2×D13—41no—
865C2×D13—41no—
866C2×D13—41no—
867C2×D13—41no—
868C2×D13—41no—
869C2×D13—41no—
870C2×D13—41no—
871C2×D13—41no—
872C2×D13—41no—
873C2×D13—88no—
874C4×C13—22no—
875C4×C13—22no—
876C4×C13—22no—
877C4×C13—41no—
878C4×C13—41no—
879C4×C13—41no—
880C4×C13—41no—
881C4×C13—41no—
882C4×C13—41no—
883C4×C13—41no—
884C4×C13—41no—
885C4×C13—41no—
886C4×C13—41no—
887C4×C13—41no—
888Dic13—41no—
889Dic13—41no—
890Dic13—41no—
891Dic13—41no—
892Dic13—41no—
893Dic13—41no—
894Dic13—41no—
895Dic13—41no—
896Dic13—41no—
897Dic13—41no—
898Dic13—41no—
899Dic13—41no—
900Dic13—41no—
901C25—131no—
902C22×Q8C22×D1311yescharacteristic
903C22×D4—131no—
904C22×D4—131no—
905C22×D4—131no—
906C23×C4—131no—
907C23×C4—131no—
908C23×C4—131no—
909C23×C4—131no—
910C23×C4C22×D1311yescharacteristic
911C23×C4C22×D1311yescharacteristic
912C23×C4C22×D1311yescharacteristic
913#126—522no—
914#126—522no—
915#125—522no—
916#123—264no—
917#123—522no—
918C22⋊Q8—42no—
919#120—522no—
920C4×D4—522no—
921#117—42no—
922#117—264no—
923C2×C4⋊C4—131no—
924C2×C4⋊C4—131no—
925C2×C4⋊C4—131no—
926C2×C4⋊C4—131no—
927C2×C4⋊C4—131no—
928C2×C4⋊C4—131no—
929C2×C4⋊C4—131no—
930C2×C4⋊C4—131no—
931C2×C4⋊C4—131no—
932C2×C4⋊C4—131no—
933C2×C4⋊C4—131no—
934C2×C4⋊C4—131no—
935C2×C4⋊C4—131no—
936C2×C4⋊C4—131no—
937C2×C4⋊C4—131no—
938C2×C4⋊C4—131no—
939C2×C4⋊C4—131no—
940C2×C4⋊C4—131no—
941C2×C4⋊C4—131no—
942C2×C4⋊C4—131no—
943C2×C4⋊C4—131no—
944C2×C4⋊C4—131no—
945C2×C4⋊C4—131no—
946C2×C4⋊C4—131no—
947C2×C4⋊C4—131no—
948C2×C4⋊C4—131no—
949C2×C4⋊C4—131no—
950C2×C4⋊C4—131no—
951C2×C4⋊C4—131no—
952C2×C4⋊C4—522no—
953C2×C4⋊C4C22×D1311yescharacteristic
954C2×C4⋊C4C22×D1311yescharacteristic
955C2×C4⋊C4C22×D1311yescharacteristic
956C2×C4⋊C4C22×D1311yescharacteristic
957C2×C4⋊C4C22×D1311yescharacteristic
958C2×C4⋊C4C22×D1311yescharacteristic
959C2×C4⋊C4C22×D1311yescharacteristic
960C2×C4⋊C4C22×D1311yescharacteristic
961C2×C4⋊C4C22×D1311yescharacteristic
962C2×C4⋊C4C22×D1311yescharacteristic
963C2×C4⋊C4C22×D1311yescharacteristic
964C2×C22⋊C4—131no—
965C2×C22⋊C4—131no—
966C2×C22⋊C4—131no—
967C2×C22⋊C4—131no—
968C2×C22⋊C4—131no—
969C2×C22⋊C4—131no—
970C2×C22⋊C4—131no—
971C2×C22⋊C4—131no—
972C2×C22⋊C4—131no—
973C2×C22⋊C4—131no—
974C2×C22⋊C4—131no—
975C2×C22⋊C4—131no—
976C2×C22⋊C4—131no—
977C2×C22⋊C4—131no—
978C2×C22⋊C4—131no—
979C2×C22⋊C4—131no—
980C2×C22⋊C4—131no—
981C2×C22⋊C4—131no—
982C2×C22⋊C4—131no—
983C2×C22⋊C4—131no—
984C2×C22⋊C4—131no—
985C2×C22⋊C4—131no—
986C2×C22⋊C4—131no—
987C2×C22⋊C4—131no—
988C2×C22⋊C4—131no—
989C2×C22⋊C4—131no—
990C2×C22⋊C4—131no—
991C2×C22⋊C4—131no—
992C2×C22⋊C4—131no—
993C2×C22⋊C4—131no—
994C2×C22⋊C4—131no—
995C2×C22⋊C4—131no—
996C2×C22⋊C4—131no—
997C2×C22⋊C4—131no—
998C2×C22⋊C4—131no—
999C2×C22⋊C4—131no—
1000C2×C22⋊C4—131no—
1001C2×C22⋊C4—131no—
1002C2×C22⋊C4—131no—
1003C2×C22⋊C4—131no—
1004C2×C22⋊C4—264no—
1005C2×C22⋊C4—522no—
1006C2×C22⋊C4—522no—
1007C2×C22⋊C4C22×D1311yescharacteristic
1008C2×C22⋊C4C22×D1311yescharacteristic
1009C2×C22⋊C4C22×D1311yescharacteristic
1010C2×C22⋊C4C22×D1311yescharacteristic
1011C2×C42—131no—
1012C2×C42—131no—
1013C2×C42—131no—
1014C2×C42—131no—
1015C2×C42—131no—
1016C2×C42—131no—
1017C2×C42—131no—
1018C2×C42—131no—
1019C2×C42—131no—
1020C2×C42—522no—
1021C2×C42C22×D1311yescharacteristic
1022C2×C42C22×D1311yescharacteristic
1023#95—131no—
1024#95—131no—
1025#95—131no—
1026#95—131no—
1027#95—131no—
1028#95—131no—
1029#95—131no—
1030#95—131no—
1031#95—131no—
1032#95—131no—
1033#95—131no—
1034#95—131no—
1035#95—131no—
1036#95—131no—
1037#95—131no—
1038#95—131no—
1039#95—131no—
1040#95—131no—
1041#95—131no—
1042#95—131no—
1043#95—131no—
1044#95—131no—
1045#95—131no—
1046#95—131no—
1047#95—131no—
1048#95—131no—
1049#95—131no—
1050#95—131no—
1051#95—131no—
1052#95—131no—
1053#95—131no—
1054#95—131no—
1055#95—131no—
1056#95—131no—
1057#95C22×D1311yescharacteristic
1058#95C22×D1311yescharacteristic
1059#95C22×D1311yescharacteristic
1060#95C22×D1311yescharacteristic
1061#95C22×D1311yescharacteristic
1062#95C22×D1311yescharacteristic
1063#95C22×D1311yescharacteristic
1064#95C22×D1311yescharacteristic
1065#95C22×D1311yescharacteristic
1066#95C22×D1311yescharacteristic
1067#95C22×D1311yescharacteristic
1068#95C22×D1311yescharacteristic
1069#95C22×D1311yescharacteristic
1070#95C22×D1311yescharacteristic
1071C2×C13—24no—
1072C2×C13C2×#53911yescharacteristic
1073C2×C13#349311yescharacteristic
1074C2×C13#350611yescharacteristic
1075C2×C13#353511yescharacteristic
1076C2×C13#354211yescharacteristic
1077C2×C13#354511yescharacteristic
1078C2×C13#356411yescharacteristic
1079D13—81no—
1080D13—81no—
1081D13—81no—
1082C24—131no—
1083C24—131no—
1084C24—131no—
1085C24—262no—
1086C24—262no—
1087C24—262no—
1088C24—521no—
1089C24—521no—
1090C24—521no—
1091C24—521no—
1092C24C23×D1311yescharacteristic
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×D4—262no—
1097C2×D4—262no—
1098C2×D4—262no—
1099C2×D4—521no—
1100C2×D4—521no—
1101C2×D4—521no—
1102C2×D4—521no—
1103C2×D4—521no—
1104C2×D4—521no—
1105C22×C4—22no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—131no—
1114C22×C4—131no—
1115C22×C4—131no—
1116C22×C4—131no—
1117C22×C4—131no—
1118C22×C4—131no—
1119C22×C4—131no—
1120C22×C4—131no—
1121C22×C4—131no—
1122C22×C4—131no—
1123C22×C4—131no—
1124C22×C4—131no—
1125C22×C4—131no—
1126C22×C4—262no—
1127C22×C4—262no—
1128C22×C4—262no—
1129C22×C4—521no—
1130C22×C4—521no—
1131C22×C4—521no—
1132C22×C4—521no—
1133C22×C4—521no—
1134C22×C4—521no—
1135C22×C4—521no—
1136C22×C4—521no—
1137C22×C4—521no—
1138C22×C4#613114yes—
1139C22×C4C23×D1311yescharacteristic
1140C22×C4C23×D1311yescharacteristic
1141C22×C4C23×D1311yescharacteristic
1142C22×C4C23×D1311yescharacteristic
1143C22×C4C23×D1311yescharacteristic
1144C22×C4C23×D1311yescharacteristic
1145C22×C4C23×D1311yescharacteristic
1146C22×C4C23×D1311yescharacteristic
1147C22×C4C23×D1311yescharacteristic
1148C22×C4C23×D1311yescharacteristic
1149C22×C4C23×D1311yescharacteristic
1150C22×C4C23×D1311yescharacteristic
1151C22×C4C23×D1311yescharacteristic
1152C22×C4C23×D1311yescharacteristic
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—262no—
1165C4⋊C4—262no—
1166C4⋊C4—262no—
1167C4⋊C4—262no—
1168C4⋊C4—262no—
1169C4⋊C4—521no—
1170C4⋊C4—521no—
1171C4⋊C4—521no—
1172C4⋊C4—521no—
1173C4⋊C4—521no—
1174C4⋊C4—521no—
1175C4⋊C4—521no—
1176C4⋊C4—521no—
1177C4⋊C4—521no—
1178C4⋊C4—521no—
1179C4⋊C4—521no—
1180C4⋊C4—521no—
1181C4⋊C4—521no—
1182C4⋊C4—521no—
1183C4⋊C4—521no—
1184C4⋊C4—521no—
1185C4⋊C4—521no—
1186C4⋊C4—521no—
1187C4⋊C4—521no—
1188C4⋊C4—521no—
1189C4⋊C4—521no—
1190C4⋊C4—521no—
1191C4⋊C4—521no—
1192C4⋊C4—521no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—262no—
1198C22⋊C4—262no—
1199C22⋊C4—262no—
1200C22⋊C4—262no—
1201C22⋊C4—262no—
1202C22⋊C4—262no—
1203C22⋊C4—262no—
1204C22⋊C4—262no—
1205C22⋊C4—262no—
1206C22⋊C4—262no—
1207C22⋊C4—262no—
1208C22⋊C4—262no—
1209C22⋊C4—521no—
1210C22⋊C4—521no—
1211C22⋊C4—521no—
1212C22⋊C4—521no—
1213C22⋊C4—521no—
1214C22⋊C4—521no—
1215C22⋊C4—521no—
1216C22⋊C4—521no—
1217C22⋊C4—521no—
1218C22⋊C4—521no—
1219C22⋊C4—521no—
1220C22⋊C4—521no—
1221C22⋊C4—521no—
1222C22⋊C4—521no—
1223C22⋊C4—521no—
1224C22⋊C4—521no—
1225C22⋊C4—521no—
1226C22⋊C4—521no—
1227C22⋊C4—521no—
1228C22⋊C4—521no—
1229C22⋊C4—521no—
1230C22⋊C4—521no—
1231C22⋊C4—521no—
1232C22⋊C4—521no—
1233C22⋊C4—521no—
1234C22⋊C4—521no—
1235C22⋊C4—521no—
1236C22⋊C4—521no—
1237C42—41no—
1238C42—41no—
1239C42—262no—
1240C42—262no—
1241C42—262no—
1242C42—262no—
1243C42—521no—
1244C42—521no—
1245C42—521no—
1246C42—521no—
1247C42—521no—
1248C13#3679611yescharacteristic, complemented, Sylow
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—261no—
1254C23—261no—
1255C23—261no—
1256C23—261no—
1257C23—261no—
1258C23—261no—
1259C23—261no—
1260C23—261no—
1261C23—261no—
1262C23—261no—
1263C23—261no—
1264C23—261no—
1265C23—261no—
1266C23—261no—
1267C23—261no—
1268C23—261no—
1269C23—261no—
1270C23—261no—
1271C23—261no—
1272C23—261no—
1273C23—261no—
1274C23—524no—
1275C23—524no—
1276C23—524no—
1277C23—1042no—
1278C23—1042no—
1279C23—1042no—
1280C23—1042no—
1281C23#8825112yes—
1282C23C2×#613112yes—
1283C23#8825712yes—
1284C23C24×D1311yescharacteristic
1285Q8—82no—
1286D4—524no—
1287D4—1042no—
1288D4—1042no—
1289C2×C4—28no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—44no—
1330C2×C4—82no—
1331C2×C4—261no—
1332C2×C4—261no—
1333C2×C4—261no—
1334C2×C4—261no—
1335C2×C4—261no—
1336C2×C4—261no—
1337C2×C4—261no—
1338C2×C4—261no—
1339C2×C4—261no—
1340C2×C4—261no—
1341C2×C4—261no—
1342C2×C4—261no—
1343C2×C4—261no—
1344C2×C4—261no—
1345C2×C4—261no—
1346C2×C4—261no—
1347C2×C4—261no—
1348C2×C4—261no—
1349C2×C4—261no—
1350C2×C4—261no—
1351C2×C4—261no—
1352C2×C4—261no—
1353C2×C4—261no—
1354C2×C4—261no—
1355C2×C4—261no—
1356C2×C4—261no—
1357C2×C4—261no—
1358C2×C4—261no—
1359C2×C4—261no—
1360C2×C4—261no—
1361C2×C4—261no—
1362C2×C4—261no—
1363C2×C4—261no—
1364C2×C4—261no—
1365C2×C4—261no—
1366C2×C4—261no—
1367C2×C4—261no—
1368C2×C4—261no—
1369C2×C4—261no—
1370C2×C4—524no—
1371C2×C4—524no—
1372C2×C4—1042no—
1373C2×C4—1042no—
1374C2×C4C2×#613112yes—
1375C2×C4C2×#613112yes—
1376C2×C4#8825612yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—521no—
1384C22—521no—
1385C22—521no—
1386C22—521no—
1387C22—521no—
1388C22—521no—
1389C22—521no—
1390C22—521no—
1391C22—521no—
1392C22—521no—
1393C22—521no—
1394C22—521no—
1395C22—521no—
1396C22—521no—
1397C22—521no—
1398C22—521no—
1399C22—521no—
1400C22—521no—
1401C22—521no—
1402C22—521no—
1403C22—521no—
1404C22—1048no—
1405C22#1171935014yes—
1406C22C2×#8825111yescharacteristic
1407C22C22×#613111yescharacteristic
1408C22C2×#8825611yescharacteristic
1409C22C2×#8825711yescharacteristic
1410C22#1171964811yescharacteristic
1411C22#1171965011yescharacteristic
1412C22#1171965211yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—521no—
1428C4—521no—
1429C4—521no—
1430C4—521no—
1431C4—521no—
1432C4—521no—
1433C4—521no—
1434C4—521no—
1435C4—521no—
1436C4—521no—
1437C4—521no—
1438C4—521no—
1439C4—521no—
1440C2—24no—
1441C2—1041no—
1442C2—1041no—
1443C2—1041no—
1444C2C2×#1171935011yescharacteristic
1445C2#1312855711yescharacteristic
1446C2#1312869011yescharacteristic
1447C2#1312904111yescharacteristic
1448C2#1312915311yescharacteristic
1449C2#1312918311yescharacteristic
1450C2#1312945611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2438C2
prime radicalC2×#88136C22
hypercenter#2438D13
hypocenterC13#36796
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2438

Complements

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

NH ≅ G/Ntype
1. #13123153C2semidirect
2. #13123144C2semidirect
3. #13122818C2semidirect
4. #13122708C2semidirect
5. #13122681C2semidirect
6. #13122670C2semidirect
7. #13122651C2semidirect
8. #13122544C2semidirect
9. #13122529C2semidirect
10. #13122517C2semidirect
11. #13122505C2semidirect
12. #13122433C2semidirect
13. #13122415C2semidirect
14. #13122376C2semidirect
15. #13121797C2semidirect
16. #13121736C2semidirect
17. #13121691C2semidirect
18. #13121354C2semidirect
19. #13120643C2semidirect
21. #13119341C2semidirect
22. #13119280C2semidirect
23. #13119112C2semidirect
24. #13119089C2semidirect
25. #13118656C2semidirect
28. #13117502C2semidirect
29. #13117456C2semidirect
30. C2×#11718331C2semidirect
31. C13×#2438C2semidirect
42. C2×#88152C22semidirect
44. C2×#88144C22semidirect
47. C13×#400C22semidirect
48. C13×#398C22semidirect
49. C13×#398C22semidirect
50. C13×#395C22semidirect
51. C13×#391C22semidirect
52. C13×#389C22semidirect
53. C13×#387C22semidirect
54. C13×#387C22semidirect
62. #11718892C22semidirect
63. #11718891C22semidirect
76. #11718655C22semidirect
90. #11718651C22semidirect
91. #11718650C22semidirect
92. #11718648C22semidirect
93. #11718647C22semidirect
94. #11718647C22semidirect
95. #11718646C22semidirect
96. #11718646C22semidirect
97. #11718645C22semidirect
98. #11718643C22semidirect
99. #11718642C22semidirect
100. #11718639C22semidirect
101. #11718639C22semidirect
102. #11718638C22semidirect
103. #11718638C22semidirect
104. #11718638C22semidirect
105. #11718638C22semidirect
106. #11718637C22semidirect
107. #11718637C22semidirect
108. #11718634C22semidirect
127. #11718589C22semidirect
128. #11718589C22semidirect
129. #11718589C22semidirect
130. #11718589C22semidirect
133. #11718338C22semidirect
141. #11718335C22semidirect
158. #11718331C22semidirect
159. #11718331C22semidirect
160. #11718331C22semidirect
161. #11718331C22semidirect
162. #11718331C22semidirect
165. #11718330C22semidirect
166. #11718329C22semidirect
167. #11718329C22semidirect
169. #11718322C22semidirect
170. #11718322C22semidirect
171. #11718321C22semidirect
172. #11718320C22semidirect
173. #11718316C22semidirect
174. #11718316C22semidirect
175. #11718316C22semidirect
176. #11718316C22semidirect
177. #11718316C22semidirect
178. #11718315C22semidirect
179. #11718315C22semidirect
180. #11718315C22semidirect
181. #11718315C22semidirect
182. #11718314C22semidirect
183. #11718314C22semidirect
184. #11718312C22semidirect
185. #11718308C22semidirect
186. #11718308C22semidirect
549. #2438D13semidirect
703. #400C2×D13semidirect
713. #398C2×D13semidirect
714. #398C2×D13semidirect
734. #395C2×D13semidirect
747. #391C2×D13semidirect
759. #389C2×D13semidirect
800. #387C2×D13semidirect
801. #387C2×D13semidirect
1248. C13#36796semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#131231532
#131231442
#131228182
#131227082
#131226812
#131226702
#131226512
#131225442
#131225292
#131225172
#131225052
#131224332
#131224152
#131223762
#131217972
#131217362
#131216912
#131213542
#131206432
#131206142
#131193412
#131192802
#131191122
#131190892
#131186562
#131183042
#131182152
#131175022
#131174562
C2×#117183312
C13×#24382
#3679613