Finite Group Databasebeta

← #16769780

Subgroups — #16769780

Order 3328.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128270C211yesmaximal, characteristic, complemented
2#13128264C211yesmaximal, characteristic, complemented
3#13128263C212yesmaximal, complemented
4#13128262C214yesmaximal, complemented
5#13128261C214yesmaximal, complemented
6#13128258C211yesmaximal, characteristic, complemented
7#13128251C214yesmaximal, complemented
8#13128250C214yesmaximal, complemented
9#13128249C212yesmaximal, complemented
10#13128247C214yesmaximal, complemented
11#13128243C214yesmaximal, complemented
12#13128240C211yesmaximal, characteristic, complemented
13#13128223C214yesmaximal, complemented
14#13128220C214yesmaximal, complemented
15#13128218C214yesmaximal, complemented
16#13128167C212yesmaximal, complemented
17#13128164C211yesmaximal, characteristic, complemented
18#13128131C214yesmaximal, complemented
19#13128130C214yesmaximal, complemented
20#13128128C214yesmaximal, complemented
21C2×C4×#6129C211yesmaximal, characteristic, complemented
22C4×#41×D13C212yesmaximal, complemented
23C13×#3460C211yesmaximal, characteristic, complemented
24C2×#41×D13C2212yes—
25C22×#6129C2211yescharacteristic
26C13×#544C2211yescharacteristic, complemented
27C13×#542C2214yescomplemented
28C13×#540C2214yescomplemented
29C13×#538C2214yescomplemented
30C13×#537C2211yescharacteristic
31C13×#535C2212yescomplemented
32C13×#532C2214yescomplemented
33C13×#529C2214yescomplemented
34C13×#525C2214yescomplemented
35C4×C13×#41C2212yescomplemented
36C2×C4×D4×C13C2211yescharacteristic, complemented
37#11719538C2212yes—
38#11719537C2214yescomplemented
39#11719533C2218yescomplemented
40#41×Dic13C2212yescomplemented
41#41×Dic13C2214yescomplemented
42#11719530C2212yescomplemented
43#11719510C2212yescomplemented
44C2×D4×Dic13C2211yescharacteristic, complemented
45#11719496C2214yescomplemented
46C2×C4×C22⋊D13C2212yes—
47C22×C4×Dic13C2212yescomplemented
48#11719438C2214yescomplemented
49#11719434C2214yescomplemented
50#11719433C2214yescomplemented
51#11719433C2214yescomplemented
52#11719424C2214yescomplemented
53#11719421C2214yes—
54#11719421C2214yescomplemented
55#11719420C2214yescomplemented
56#11719412C2218yescomplemented
57#11719411C2218yescomplemented
58#11719411C2218yescomplemented
59#11719406C2218yescomplemented
60#11719402C2214yescomplemented
61#11719396C2214yescomplemented
62#11719394C2214yescomplemented
63#11719393C2214yescomplemented
64#11719387C2214yescomplemented
65#11719385C2218yescomplemented
66#11719385C2218yescomplemented
67#11719385C2214yescomplemented
68#11719383C2218yescomplemented
69#11719380C2214yescomplemented
70#11719374C2218yescomplemented
71#11719373C2214yes—
72#11719367C2218yescomplemented
73#11719365C2218yescomplemented
74#11719365C2218yescomplemented
75#11719362C2218yescomplemented
76#11719361C2218yescomplemented
77#11719354C2218yescomplemented
78#11719354C2218yescomplemented
79#11719354C2218yescomplemented
80#11719350C2214yescomplemented
81#11719343C2218yescomplemented
82#11719339C2214yes—
83#11719333C2214yescomplemented
84#11719332C2214yescomplemented
85#11719330C2214yescomplemented
86#11719329C2214yescomplemented
87#11719329C2214yescomplemented
88#11719327C2214yescomplemented
89#11719327C2214yescomplemented
90#11719327C2214yescomplemented
91#11719324C2214yescomplemented
92#11719320C2218yescomplemented
93#11719318C2218yescomplemented
94#11719318C2218yescomplemented
95#11719313C2214yes—
96#11719313C2214yes—
97#11719312C2214yescomplemented
98#11719311C2214yescomplemented
99#11719311C2214yescomplemented
100#11719311C2214yescomplemented
101#11719311C2218yescomplemented
102#11719310C2214yes—
103#11719308C2214yescomplemented
104#11719308C2214yescomplemented
105#11719307C2214yescomplemented
106#11719305C2218yescomplemented
107#11719305C2214yescomplemented
108#11719305C2214yescomplemented
109#11719305C2214yescomplemented
110#11719305C2214yescomplemented
111#11719301C2214yes—
112#11719301C2214yescomplemented
113#11719301C2214yescomplemented
114#11719298C2218yescomplemented
115#11719294C2218yes—
116#11719291C2218yescomplemented
117#11719291C2218yescomplemented
118#11719288C2214yescomplemented
119#11719283C2214yescomplemented
120C4×#6131C2212yescomplemented
121C4×#6131C2212yescomplemented
122C4×Q8×D13C2212yescomplemented
123C4×Q8×D13C2212yescomplemented
124#11719269C2218yescomplemented
125#11719267C2214yescomplemented
126#11719266C2214yescomplemented
127#11719266C2214yescomplemented
128#11719262C2218yescomplemented
129#11719262C2214yescomplemented
130#11719262C2214yescomplemented
131#11719253C2214yescomplemented
132#11719252C2218yescomplemented
133C4×D4×D13C2214yes—
134C4×D4×D13C2214yes—
135C4×D4×D13C2212yescomplemented
136C4×D4×D13C2212yescomplemented
137#11719243C2218yescomplemented
138#11719243C2218yescomplemented
139C4×#6129C2214yescomplemented
140C4×#6129C2212yescomplemented
141C4×#6129C2214yescomplemented
142C4×#6129C2214yescomplemented
143C4×#6129C2214yescomplemented
144C4×#6129C2214yescomplemented
145C4×#6129C2212yescomplemented
146C4×#6129C2214yescomplemented
147C4×#6129C2218yescomplemented
148#11719239C2214yescomplemented
149#11719233C2218yescomplemented
150#11719231C2212yescomplemented
151#11719227C2212yescomplemented
152#11719227C2214yescomplemented
153#11719227C2214yescomplemented
154D13×#117C2212yes—
155D13×#117C2214yescomplemented
156#11719224C2212yescomplemented
157#11719223C2214yescomplemented
158#11719222C2214yescomplemented
159#11719215C2211yescharacteristic
160C2×#88146C2211yescharacteristic
161#11719205C2211yescharacteristic, complemented
162C2×#88141C2211yescharacteristic, complemented
163#11719199C2214yescomplemented
164C2×#88135C2212yes—
165C2×#88131C2212yescomplemented
166#11719184C2214yescomplemented
167C4×#6127C2214yescomplemented
168C4×#6127C2212yescomplemented
169C2×C42×D13C2211yescharacteristic
170C2×C42×D13C2214yescomplemented
171#11719175C2214yescomplemented
172C2×C4×Dic26C2211yescharacteristic, complemented
173C2×C13×#41C2312yes—
174C2×C13×#41C2314yes—
175C22×D4×C13C2311yescharacteristic
176C23×C4×C13C2312yes—
177C22×C22⋊D13C2312yes—
178C23×Dic13C2312yes—
179C23×Dic13C2312yes—
180#41×D13—216no—
181C2×#6131C2312yes—
182C2×Q8×D13C2312yes—
183C2×#6129—28no—
184C2×#6129C2314yes—
185C2×#6129C2314yes—
186C2×#6129C2312yes—
187C2×#6129C2314yes—
188C2×#6129C2318yes—
189C2×D4×D13C2314yes—
190C2×D4×D13C2312yes—
191C2×#6127C2312yes—
192C2×#6127C2314yes—
193C2×#6127C2314yes—
194C22×C4×D13C2314yes—
195C22×C4×D13C2311yescharacteristic
196C22×C4×D13C2311yescharacteristic
197C22×C4×D13C2314yes—
198C22×C4×D13C2314yes—
199C22×C4×D13C2311yescharacteristic
200C22×Dic26C2311yescharacteristic
201C13×C4⋊Q8C2314yes—
202C13×#127C2314yes—
203C13×#126C2318yes—
204C13×#125C2314yes—
205C13×#124C2314yes—
206C13×#124C2318yes—
207C13×#123C2318yes—
208C13×#123C2318yes—
209C13×C22⋊Q8C2314yes—
210C13×C22⋊Q8C2314yes—
211C13×C22⋊Q8C2314yes—
212C13×#121C2314yes—
213C13×#121C2314yes—
214C13×#121C2314yes—
215C13×#121C2314yes—
216C13×#121C2314yes—
217C13×#121C2318yes—
218C13×#120C2318yes—
219C4×Q8×C13C2312yes—
220C4×Q8×C13C2312yes—
221C4×D4×C13C2314yes—
222C4×D4×C13C2314yes—
223C4×D4×C13C2314yes—
224C4×D4×C13C2318yes—
225C4×D4×C13C2314yes—
226C4×D4×C13C2312yes—
227C4×D4×C13C2312yes—
228C13×#117C2314yes—
229C13×#117C2314yes—
230C13×#117C2312yes—
231C2×C13×C4⋊C4C2311yescharacteristic
232C2×C13×C22⋊C4C2312yes—
233C2×C42×C13C2311yescharacteristic
234C2×C42×C13C2314yes—
235#88207C2318yes—
236C2×C22⋊Dic13C2312yes—
237#88201C2314yes—
238#88200C2318yes—
239#88200C2318yes—
240#88200C2314yes—
241Q8×Dic13C2314yes—
242Q8×Dic13C2314yes—
243Q8×Dic13C2312yes—
244Q8×Dic13C2312yes—
245#88198C2314yes—
246#88198C2314yes—
247#88194C2314yes—
248#88194C2314yes—
249#88193C2318yes—
250#88193C2318yes—
251#88193C2318yes—
252#88193C2318yes—
253#88193C2318yes—
254#88192C2314yes—
255#88192C2314yes—
256#88192C2314yes—
257#88192C2318yes—
258#88192C2318yes—
259#88192C2318yes—
260#88191C2318yes—
261#88191C2318yes—
262#88191C2318yes—
263#88190C2314yes—
264#88190C2314yes—
265#88190C2318yes—
266#88190C2314yes—
267#88189C2318yes—
268#88189C2318yes—
269#88189C2318yes—
270#88189C2318yes—
271D4×Dic13C2312yes—
272D4×Dic13C2314yes—
273D4×Dic13C2314yes—
274D4×Dic13C2314yes—
275D4×Dic13C2314yes—
276D4×Dic13C2312yes—
277D4×Dic13C2318yes—
278D4×Dic13C2318yes—
279D4×Dic13C2318yes—
280D4×Dic13C2314yes—
281D4×Dic13C2314yes—
282#88184C2314yes—
283#88184C2314yes—
284#88184C2314yes—
285#88183C2318yes—
286#88183C2318yes—
287C4×C22⋊D13C2314yes—
288C4×C22⋊D13C2314yes—
289C4×C22⋊D13C2314yes—
290C4×C22⋊D13C2314yes—
291C4×C22⋊D13C2314yes—
292C4×C22⋊D13C2314yes—
293C4×C22⋊D13C2318yes—
294C4×C22⋊D13C2318yes—
295C4×C22⋊D13C2318yes—
296C4×C22⋊D13C2318yes—
297C2×#6103C2312yes—
298#88180C2318yes—
299#88180C2312yes—
300#88180C2314yes—
301#88180C2314yes—
302C2×C4⋊Dic13C2311yescharacteristic
303#88178C2314yes—
304#88178C2314yes—
305#88178C2318yes—
306#88178C2314yes—
307#88178C2314yes—
308#88178C2314yes—
309C2×#6101C2312yes—
310C2×#6101C2312yes—
311C2×C4×Dic13C2312yes—
312C2×C4×Dic13C2311yescharacteristic
313C2×C4×Dic13C2311yescharacteristic
314C2×C4×Dic13C2311yescharacteristic
315C2×C4×Dic13C2314yes—
316C2×C4×Dic13C2314yes—
317C2×C4×Dic13C2314yes—
318C2×C4×Dic13C2312yes—
319C2×C4×Dic13C2312yes—
320C2×C4×Dic13C2314yes—
321C2×C4×Dic13C2314yes—
322C2×C4×Dic13C2314yes—
323C2×C4×Dic13C2314yes—
324#88152C2318yes—
325#88152C2318yes—
326#88152C2318yes—
327#88151C2314yes—
328#88151C2314yes—
329#88151C2318yes—
330#88151C2314yes—
331#88150C2318yes—
332#88150C2318yes—
333#88150C2318yes—
334#88149C2314yes—
335#88148C2318yes—
336#88148C2318yes—
337#88147C2312yes—
338#88147C2314yes—
339#88147C2314yes—
340#88147C2312yes—
341#88147C2314yes—
342#88147C2314yes—
343#88146C2312yes—
344#88146C2314yes—
345#88146C2318yes—
346#88146C2314yes—
347#88146C2312yes—
348#88146C2314yes—
349#88146C2314yes—
350C4⋊C4×D13C2312yes—
351C4⋊C4×D13C2312yes—
352C4⋊C4×D13C2314yes—
353C4⋊C4×D13C2314yes—
354#88144C2314yes—
355#88144C2314yes—
356#88144C2318yes—
357#88144C2314yes—
358#88144C2314yes—
359#88143C2318yes—
360#88143C2318yes—
361#88143C2318yes—
362#88143C2318yes—
363#88142C2314yes—
364#88142C2314yes—
365#88142C2314yes—
366#88142C2314yes—
367#88141C2312yes—
368#88141C2314yes—
369#88141C2318yes—
370#88141C2314yes—
371#88141C2312yes—
372#88141C2314yes—
373#88141C2314yes—
374#88141C2314yes—
375#88141C2314yes—
376#88140C2318yes—
377#88140C2318yes—
378#88139C2318yes—
379#88139C2318yes—
380#88139C2318yes—
381#88139C2318yes—
382#88138C2318yes—
383#88138C2318yes—
384#88138C2318yes—
385#88137C2318yes—
386#88137C2318yes—
387#88137C2318yes—
388#88137C2318yes—
389#88137C2318yes—
390#88137C2318yes—
391#88136C2318yes—
392#88135C2318yes—
393#88135C2318yes—
394#88135C2314yes—
395#88135C2314yes—
396#88135C2314yes—
397#88135C2314yes—
398#88135C2314yes—
399#88135C2314yes—
400#88135C2318yes—
401#88135C2318yes—
402#88135C2318yes—
403#88135C2318yes—
404C22⋊C4×D13C2314yes—
405C22⋊C4×D13C2314yes—
406C22⋊C4×D13C2314yes—
407#88133C2318yes—
408#88133C2318yes—
409#88133C2318yes—
410#88133C2318yes—
411#88133C2318yes—
412#88133C2318yes—
413#88133C2318yes—
414#88132C2318yes—
415#88132C2318yes—
416#88132C2318yes—
417#88132C2318yes—
418#88132C2318yes—
419#88131C2318yes—
420#88131C2318yes—
421#88131C2314yes—
422#88131C2314yes—
423#88131C2314yes—
424#88131C2318yes—
425#88131C2318yes—
426#88130C2318yes—
427#88129C2314yes—
428C4×D52C2312yes—
429C4×D52C2314yes—
430C4×D52C2312yes—
431C4×D52C2314yes—
432#88126C2314yes—
433#88126C2314yes—
434#88126C2314yes—
435#88126C2318yes—
436C42×D13C2312yes—
437C42×D13C2312yes—
438C42×D13C2312yes—
439C42×D13C2312yes—
440C42×D13C2314yes—
441C42×D13C2314yes—
442C42×D13C2314yes—
443C42×D13C2314yes—
444C42×D13C2314yes—
445C42×D13C2314yes—
446C42×D13C2314yes—
447#88124C2314yes—
448#88124C2318yes—
449#88123C2314yes—
450#88123C2314yes—
451C4×Dic26C2314yes—
452C4×Dic26C2314yes—
453C4×Dic26C2312yes—
454C4×Dic26C2318yes—
455C4×Dic26C2314yes—
456C4×Dic26C2312yes—
457C4×Dic26C2314yes—
458#62686—131nomaximal, Sylow
459C24×C13C2412yes—
460C23×D13C2414yes—
461C23×D13C2411yescharacteristic
462C13×#41—28no—
463C13×#41—48no—
464C2×Q8×C13C2412yes—
465C2×Q8×C13C2414yes—
466C2×D4×C13—24no—
467C2×D4×C13C2414yes—
468C2×D4×C13C2412yes—
469C2×D4×C13C2414yes—
470C2×D4×C13C2414yes—
471C2×D4×C13C2418yes—
472C2×D4×C13C2418yes—
473C22×C4×C13—44no—
474C22×C4×C13C2411yescharacteristic
475C22×C4×C13C2414yes—
476C22×C4×C13C2414yes—
477C22×C4×C13C2414yes—
478C22×C4×C13C2412yes—
479C22×C4×C13C2414yes—
480C22×C4×C13C2411yescharacteristic
481C22×C4×C13C2414yes—
482C22×C4×C13C2411yescharacteristic
483C2×C22⋊D13—28no—
484C2×C22⋊D13C2418yes—
485C2×C22⋊D13C2414yes—
486C2×C22⋊D13C2414yes—
487C2×C22⋊D13C2414yes—
488C2×C22⋊D13C2418yes—
489C2×C22⋊D13C2418yes—
490C2×C22⋊D13C2418yes—
491C22×Dic13—28no—
492C22×Dic13—44no—
493C22×Dic13C2414yes—
494C22×Dic13C2414yes—
495C22×Dic13C2414yes—
496C22×Dic13C2414yes—
497C22×Dic13C2414yes—
498C22×Dic13C2411yescharacteristic
499C22×Dic13C2412yes—
500C22×Dic13C2412yes—
501C22×Dic13C2414yes—
502C22×Dic13C2414yes—
503C22×Dic13C2411yescharacteristic
504C22×Dic13C2411yescharacteristic
505#6131—28no—
506Q8×D13—28no—
507#6129—216no—
508#6129—216no—
509#6129—216no—
510#6129—28no—
511#6129—416no—
512D4×D13—216no—
513D4×D13—28no—
514#6127—28no—
515#6127—216no—
516#6127—48no—
517C2×D52C2412yes—
518C2×D52C2414yes—
519C2×D52C2414yes—
520C2×C4×D13—216no—
521C2×C4×D13—42no—
522C2×C4×D13—48no—
523C2×C4×D13—42no—
524C2×C4×D13—48no—
525C2×C4×D13#4118yescomplemented
526C2×C4×D13C2412yes—
527C2×C4×D13C2412yes—
528C2×C4×D13C2414yes—
529C2×C4×D13C2414yes—
530C2×C4×D13C2414yes—
531C2×C4×D13C2414yes—
532C2×C4×D13C2414yes—
533C2×C4×D13C2412yes—
534C2×C4×D13C2414yes—
535C2×C4×D13C2412yes—
536C2×C4×D13C2414yes—
537C2×C4×D13C2414yes—
538C2×C4×D13C2414yes—
539C2×C4×D13C2412yes—
540C2×C4×D13C2412yes—
541C2×Dic26—24no—
542C2×Dic26C2412yes—
543C2×Dic26C2414yes—
544C2×Dic26C2414yes—
545C2×Dic26C2418yes—
546C2×Dic26C2414yes—
547C13×C4⋊C4C2414yes—
548C13×C4⋊C4C2412yes—
549C13×C4⋊C4C2414yes—
550C13×C4⋊C4C2414yes—
551C13×C4⋊C4C2414yes—
552C13×C4⋊C4C2414yes—
553C13×C4⋊C4C2418yes—
554C13×C4⋊C4C2412yes—
555C13×C22⋊C4C2418yes—
556C13×C22⋊C4C2414yes—
557C13×C22⋊C4C2418yes—
558C13×C22⋊C4C2418yes—
559C13×C22⋊C4C2414yes—
560C13×C22⋊C4C2414yes—
561C13×C22⋊C4C2418yes—
562C42×C13C2412yes—
563C42×C13C2412yes—
564C42×C13C2414yes—
565C42×C13C2414yes—
566C42×C13C2414yes—
567C22⋊Dic13C2418yes—
568C22⋊Dic13C2414yes—
569C22⋊Dic13C2418yes—
570C22⋊Dic13C2418yes—
571C22⋊Dic13C2414yes—
572C22⋊Dic13C2414yes—
573C22⋊Dic13C2418yes—
574C22⋊Dic13C2418yes—
575C22⋊Dic13C2418yes—
576#6103C2414yes—
577#6103C2414yes—
578#6103C2414yes—
579#6103C2414yes—
580#6103C2414yes—
581#6103C2414yes—
582#6103C2418yes—
583#6103C2418yes—
584#6103C2418yes—
585#6103C2418yes—
586#6103C2418yes—
587C4⋊Dic13C2414yes—
588C4⋊Dic13C2412yes—
589C4⋊Dic13C2418yes—
590C4⋊Dic13C2412yes—
591C4⋊Dic13C2414yes—
592C4⋊Dic13C2414yes—
593C4⋊Dic13C2418yes—
594C4⋊Dic13C2418yes—
595C4⋊Dic13C2414yes—
596C4⋊Dic13C2414yes—
597#6101C2418yes—
598#6101C2414yes—
599#6101C2418yes—
600#6101C2418yes—
601#6101C2414yes—
602#6101C2414yes—
603#6101C2414yes—
604#6101C2414yes—
605#6101C2414yes—
606#6101C2418yes—
607#6101C2418yes—
608#6101C2418yes—
609#6101C2418yes—
610#6101C2418yes—
611C4×Dic13C2411yescharacteristic
612C4×Dic13C2414yes—
613C4×Dic13C2414yes—
614C4×Dic13C2412yes—
615C4×Dic13C2414yes—
616C4×Dic13C2414yes—
617C4×Dic13C2411yescharacteristic
618C4×Dic13C2412yes—
619C4×Dic13C2412yes—
620C4×Dic13C2412yes—
621C4×Dic13C2414yes—
622C4×Dic13C2414yes—
623C4×Dic13C2411yescharacteristic
624C4×Dic13C2414yes—
625C4×Dic13C2414yes—
626C4×Dic13C2414yes—
627C4×Dic13C2414yes—
628C4×Dic13C2414yes—
629C4×Dic13C2411yescharacteristic
630C4×Dic13C2414yes—
631C4×Dic13C2414yes—
632C4×Dic13C2414yes—
633C4×Dic13C2414yes—
634#3461—131no—
635#3461—134no—
636#3461—131no—
637#3461—134no—
638#3461—132no—
639#3460—134no—
640#3460—132no—
641#3460—134no—
642#3460—131no—
643#3460D1311yescharacteristic, complemented
644#3459—134no—
645#3459—134no—
646#3458—131no—
647#3455—134no—
648#3455—134no—
649#3455—134no—
650#3449—131no—
651#3449—132no—
652#3444—134no—
653#3444—134no—
654#3444—134no—
655C2×C4×#41—132no—
656C2×C4×#41—131no—
657C23×C13—24no—
658C23×C13—42no—
659C23×C13—42no—
660C23×C13C2514yes—
661C23×C13C2514yes—
662C23×C13C2511yescharacteristic
663C22×D13—28no—
664C22×D13—41no—
665C22×D13—41no—
666C22×D13—44no—
667C22×D13—44no—
668C22×D13C2×#4114yes—
669C22×D13C2514yes—
670C22×D13C2512yes—
671Q8×C13—24no—
672Q8×C13—44no—
673D4×C13—28no—
674D4×C13—24no—
675D4×C13—28no—
676D4×C13—48no—
677D4×C13—44no—
678D4×C13—48no—
679C2×C4×C13—28no—
680C2×C4×C13—22no—
681C2×C4×C13—28no—
682C2×C4×C13—28no—
683C2×C4×C13—44no—
684C2×C4×C13—41no—
685C2×C4×C13—42no—
686C2×C4×C13—44no—
687C2×C4×C13C2×#4114yes—
688C2×C4×C13C2511yescharacteristic
689C2×C4×C13C2512yes—
690C2×C4×C13C2514yes—
691C2×C4×C13C2514yes—
692C2×C4×C13C2514yes—
693C2×C4×C13C2514yes—
694C2×C4×C13C2512yes—
695C2×C4×C13C2511yescharacteristic
696C22⋊D13—28no—
697C22⋊D13—28no—
698C22⋊D13—216no—
699C22⋊D13—28no—
700C22⋊D13—48no—
701C22⋊D13—48no—
702C22⋊D13—48no—
703C2×Dic13—24no—
704C2×Dic13—28no—
705C2×Dic13—28no—
706C2×Dic13—28no—
707C2×Dic13—28no—
708C2×Dic13—22no—
709C2×Dic13—28no—
710C2×Dic13—44no—
711C2×Dic13—41no—
712C2×Dic13—42no—
713C2×Dic13—44no—
714C2×Dic13C2×#4114yes—
715C2×Dic13C2512yes—
716C2×Dic13C2511yescharacteristic
717C2×Dic13C2514yes—
718C2×Dic13C2514yes—
719C2×Dic13C2514yes—
720C2×Dic13C2514yes—
721C2×Dic13C2514yes—
722C2×Dic13C2511yescharacteristic
723C2×Dic13C2511yescharacteristic
724C2×Dic13C2511yescharacteristic
725D52—28no—
726D52—24no—
727D52—44no—
728C4×D13—28no—
729C4×D13—28no—
730C4×D13—24no—
731C4×D13—28no—
732C4×D13—28no—
733C4×D13—24no—
734C4×D13—28no—
735C4×D13—44no—
736C4×D13—44no—
737C4×D13—44no—
738C4×D13—42no—
739C4×D13—44no—
740C4×D13—42no—
741C4×D13C2×#4118yes—
742C4×D13C2×#4118yes—
743Dic26—28no—
744Dic26—24no—
745Dic26—28no—
746Dic26—44no—
747Dic26—48no—
748C22×#41—132no—
749C22×#41—131no—
750#544—134no—
751#544—134no—
752#544—132no—
753#544—131no—
754#544C2×D1311yescharacteristic, complemented
755#543—134no—
756#542—134no—
757#542—138no—
758#542—134no—
759#542—138no—
760#542—134no—
761#542—134no—
762#542—134no—
763#542—134no—
764#542—134no—
765#542C2×D1314yescomplemented
766#541—138no—
767#541—134no—
768#541—134no—
769#541—134no—
770#541—134no—
771#540—134no—
772#540—138no—
773#540—134no—
774#540—134no—
775#540C2×D1314yescomplemented
776#539—138no—
777#539—138no—
778#539—138no—
779#539—138no—
780#539—134no—
781#539—134no—
782#539—138no—
783#538—138no—
784#538—138no—
785#538—138no—
786#538—138no—
787#538—138no—
788#538—134no—
789#538C2×D1314yescomplemented
790#537—132no—
791#537—134no—
792#537—134no—
793#537—131no—
794#537C2×D1311yescharacteristic
795#536—132no—
796#536—134no—
797#536—134no—
798#536—132no—
799#535—132no—
800#535—134no—
801#535—134no—
802#535C2×D1312yescomplemented
803#534—134no—
804#534—138no—
805#533—134no—
806#533—134no—
807#533—134no—
808#533—134no—
809#533—134no—
810#533—134no—
811#533—134no—
812#533—134no—
813#533—134no—
814#532—134no—
815#532—134no—
816#532—134no—
817#532—134no—
818#532—134no—
819#532—134no—
820#532—134no—
821#532—134no—
822#532C2×D1314yescomplemented
823#529—138no—
824#529—138no—
825#529—134no—
826#529—138no—
827#529—138no—
828#529—134no—
829#529—138no—
830#529—138no—
831#529—138no—
832#529—134no—
833#529—134no—
834#529—138no—
835#529—134no—
836#529—134no—
837#529—134no—
838#529—134no—
839#529—138no—
840#529—138no—
841#529—138no—
842#529—134no—
843#529—134no—
844#529—138no—
845#529—134no—
846#529C2×D1314yescomplemented
847#525—138no—
848#525—134no—
849#525—138no—
850#525—134no—
851#525—134no—
852#525—134no—
853#525—134no—
854#525—138no—
855#525—138no—
856#525—138no—
857#525—138no—
858#525C2×D1314yescomplemented
859C4×#41—132no—
860C4×#41—134no—
861C4×#41—132no—
862C4×#41—132no—
863C4×#41—132no—
864C4×#41—134no—
865C4×#41—134no—
866C4×#41—134no—
867C4×#41—132no—
868C4×#41—134no—
869C4×#41—134no—
870C4×#41—134no—
871C4×#41—138no—
872C4×#41—132no—
873C4×#41—134no—
874C4×#41—134no—
875C4×#41—134no—
876C4×#41—132no—
877C4×#41C2×D1312yescomplemented
878C2×C4×Q8—132no—
879C2×C4×Q8—132no—
880C2×C4×Q8—131no—
881C2×C4×Q8—131no—
882C2×C4×D4—131no—
883C2×C4×D4—132no—
884C2×C4×D4—134no—
885C2×C4×D4—134no—
886C2×C4×D4—132no—
887C2×C4×D4—132no—
888C2×C4×D4—132no—
889C2×C4×D4C2×D1311yescharacteristic, complemented
890C2×#117—132no—
891C2×#117—134no—
892C2×#117—131no—
893C2×#117—132no—
894C22×C42—132no—
895C22×C42—131no—
896C22×C42—134no—
897C22×C13—21no—
898C22×C13—21no—
899C22×C13—24no—
900C22×C13—24no—
901C22×C13—24no—
902C22×C13—24no—
903C22×C13—24no—
904C22×C13—24no—
905C22×C13—48no—
906C22×C13C22×#4112yes—
907C22×C13C2611yescharacteristic
908C2×D13—22no—
909C2×D13—22no—
910C2×D13—24no—
911C2×D13—24no—
912C2×D13—24no—
913C2×D13—44no—
914C2×D13—416no—
915C2×D13C22×#4114yes—
916C4×C13—24no—
917C4×C13—24no—
918C4×C13—24no—
919C4×C13—22no—
920C4×C13—21no—
921C4×C13—24no—
922C4×C13C22×#4114yes—
923C4×C13#58512yes—
924Dic13—24no—
925Dic13—24no—
926Dic13—24no—
927Dic13—24no—
928Dic13—24no—
929Dic13—22no—
930Dic13—21no—
931Dic13C22×#4112yes—
932Dic13C22×#4112yes—
933Dic13#58512yes—
934C2×#41—132no—
935C2×#41—134no—
936C2×#41—132no—
937C2×#41—134no—
938C2×#41—134no—
939C2×#41—138no—
940C2×#41—134no—
941C2×#41—132no—
942C2×#41—134no—
943C2×#41—268no—
944C2×#41—2616no—
945C2×#41C22×D1312yes—
946C2×#41C22×D1314yes—
947C22×Q8—132no—
948C22×Q8—131no—
949C22×D4—132no—
950C22×D4—134no—
951C22×D4—132no—
952C22×D4C22×D1311yescharacteristic
953C23×C4—131no—
954C23×C4—132no—
955C23×C4—132no—
956C23×C4—134no—
957C23×C4—131no—
958C23×C4—131no—
959C23×C4—134no—
960C23×C4—134no—
961C23×C4C22×D1312yes—
962C4⋊Q8—134no—
963C4⋊Q8—134no—
964C4⋊Q8—134no—
965C4⋊Q8—134no—
966C4⋊Q8—134no—
967C4⋊Q8—134no—
968C4⋊Q8—134no—
969C4⋊Q8—134no—
970C4⋊Q8C22×D1314yes—
971#127—134no—
972#127—134no—
973#127C22×D1314yes—
974#126—138no—
975#126—138no—
976#126—138no—
977#126—138no—
978#126—138no—
979#126—138no—
980#126—138no—
981#126—138no—
982#126—138no—
983#126—138no—
984#126—138no—
985#126C22×D1318yes—
986#125—138no—
987#125—138no—
988#125—138no—
989#125—138no—
990#125—134no—
991#125—134no—
992#125—138no—
993#125—134no—
994#125—134no—
995#125—138no—
996#125—134no—
997#125C22×D1314yes—
998#124—134no—
999#124—134no—
1000#124—134no—
1001#124—134no—
1002#124—138no—
1003#124—138no—
1004#124—138no—
1005#124—138no—
1006#124—138no—
1007#124—134no—
1008#124C22×D1318yes—
1009#124C22×D1314yes—
1010#123—138no—
1011#123—138no—
1012#123—138no—
1013#123—138no—
1014#123—138no—
1015#123—138no—
1016#123—138no—
1017#123—138no—
1018#123—138no—
1019#123—138no—
1020#123—138no—
1021#123—138no—
1022#123—138no—
1023#123—138no—
1024#123—138no—
1025#123—138no—
1026#123C22×D1318yes—
1027#123C22×D1318yes—
1028C22⋊Q8—134no—
1029C22⋊Q8—138no—
1030C22⋊Q8—138no—
1031C22⋊Q8—134no—
1032C22⋊Q8—134no—
1033C22⋊Q8—134no—
1034C22⋊Q8—134no—
1035C22⋊Q8—134no—
1036C22⋊Q8—138no—
1037C22⋊Q8—134no—
1038C22⋊Q8—134no—
1039C22⋊Q8—134no—
1040C22⋊Q8—138no—
1041C22⋊Q8—138no—
1042C22⋊Q8—138no—
1043C22⋊Q8—138no—
1044C22⋊Q8—138no—
1045C22⋊Q8—138no—
1046C22⋊Q8—138no—
1047C22⋊Q8—138no—
1048C22⋊Q8—138no—
1049C22⋊Q8C22×D1314yes—
1050C22⋊Q8C22×D1314yes—
1051C22⋊Q8C22×D1314yes—
1052#121—138no—
1053#121—138no—
1054#121—138no—
1055#121—134no—
1056#121—134no—
1057#121—134no—
1058#121—138no—
1059#121—138no—
1060#121—138no—
1061#121—138no—
1062#121—138no—
1063#121—134no—
1064#121—134no—
1065#121—134no—
1066#121—134no—
1067#121—138no—
1068#121—138no—
1069#121—138no—
1070#121C22×D1314yes—
1071#121C22×D1314yes—
1072#121C22×D1318yes—
1073#121C22×D1314yes—
1074#121C22×D1314yes—
1075#121C22×D1314yes—
1076#120—138no—
1077#120—138no—
1078#120—138no—
1079#120—138no—
1080#120—138no—
1081#120C22×D1318yes—
1082C4×Q8—132no—
1083C4×Q8—132no—
1084C4×Q8—134no—
1085C4×Q8—134no—
1086C4×Q8—134no—
1087C4×Q8—132no—
1088C4×Q8—134no—
1089C4×Q8—134no—
1090C4×Q8—132no—
1091C4×Q8—134no—
1092C4×Q8—138no—
1093C4×Q8—134no—
1094C4×Q8—134no—
1095C4×Q8—134no—
1096C4×Q8—132no—
1097C4×Q8—134no—
1098C4×Q8—134no—
1099C4×Q8—132no—
1100C4×Q8—134no—
1101C4×Q8—138no—
1102C4×Q8C22×D1312yes—
1103C4×Q8C22×D1312yes—
1104C4×D4—134no—
1105C4×D4—132no—
1106C4×D4—134no—
1107C4×D4—134no—
1108C4×D4—132no—
1109C4×D4—134no—
1110C4×D4—134no—
1111C4×D4—134no—
1112C4×D4—138no—
1113C4×D4—138no—
1114C4×D4—138no—
1115C4×D4—134no—
1116C4×D4—138no—
1117C4×D4—134no—
1118C4×D4—134no—
1119C4×D4—134no—
1120C4×D4—138no—
1121C4×D4—134no—
1122C4×D4—134no—
1123C4×D4—138no—
1124C4×D4—138no—
1125C4×D4—134no—
1126C4×D4—132no—
1127C4×D4—134no—
1128C4×D4—132no—
1129C4×D4—134no—
1130C4×D4—134no—
1131C4×D4—134no—
1132C4×D4—138no—
1133C4×D4—134no—
1134C4×D4—134no—
1135C4×D4—134no—
1136C4×D4—138no—
1137C4×D4—134no—
1138C4×D4—134no—
1139C4×D4—138no—
1140C4×D4—138no—
1141C4×D4—138no—
1142C4×D4—138no—
1143C4×D4—134no—
1144C4×D4—132no—
1145C4×D4—134no—
1146C4×D4—132no—
1147C4×D4C22×D1314yes—
1148C4×D4C22×D1312yes—
1149C4×D4C22×D1314yes—
1150C4×D4C22×D1312yes—
1151C4×D4C22×D1314yes—
1152C4×D4C22×D1314yes—
1153C4×D4C22×D1318yes—
1154#117—132no—
1155#117—134no—
1156#117—134no—
1157#117—138no—
1158#117—132no—
1159#117—132no—
1160#117—134no—
1161#117—134no—
1162#117—134no—
1163#117—134no—
1164#117—138no—
1165#117—134no—
1166#117—134no—
1167#117—134no—
1168#117—138no—
1169#117—138no—
1170#117—138no—
1171#117—138no—
1172#117—134no—
1173#117—134no—
1174#117—134no—
1175#117—138no—
1176#117C22×D1312yes—
1177#117C22×D1314yes—
1178#117C22×D1314yes—
1179C2×C4⋊C4—131no—
1180C2×C4⋊C4—132no—
1181C2×C4⋊C4—132no—
1182C2×C4⋊C4—132no—
1183C2×C4⋊C4—132no—
1184C2×C4⋊C4—134no—
1185C2×C4⋊C4—134no—
1186C2×C4⋊C4C22×D1311yescharacteristic
1187C2×C22⋊C4—132no—
1188C2×C22⋊C4—132no—
1189C2×C22⋊C4—134no—
1190C2×C22⋊C4—134no—
1191C2×C22⋊C4—134no—
1192C2×C22⋊C4C22×D1312yes—
1193C2×C42—131no—
1194C2×C42—132no—
1195C2×C42—131no—
1196C2×C42—132no—
1197C2×C42—132no—
1198C2×C42—134no—
1199C2×C42—134no—
1200C2×C42—131no—
1201C2×C42—134no—
1202C2×C42—134no—
1203C2×C42—134no—
1204C2×C42—134no—
1205C2×C42—134no—
1206C2×C42—132no—
1207C2×C42—134no—
1208C2×C42—132no—
1209C2×C42—132no—
1210C2×C42—134no—
1211C2×C42—134no—
1212C2×C42—134no—
1213C2×C42—132no—
1214C2×C42—134no—
1215C2×C42—134no—
1216C2×C42—134no—
1217C2×C42C22×D1311yescharacteristic
1218C2×C42C22×D1314yes—
1219C2×C13—22no—
1220C2×C13—44no—
1221C2×C13—44no—
1222C2×C13C23×#4111yescharacteristic
1223C2×C13C2×#58511yescharacteristic
1224C2×C13C2×#58511yescharacteristic
1225D13—24no—
1226D13—44no—
1227C24—131no—
1228C24—134no—
1229C24C23×D1312yes—
1230#41—28no—
1231#41—48no—
1232#41—2616no—
1233#41—2616no—
1234#41—2616no—
1235#41—268no—
1236#41—2616no—
1237#41—268no—
1238#41—268no—
1239#41—528no—
1240#41—5216no—
1241C2×Q8—134no—
1242C2×Q8—132no—
1243C2×Q8—134no—
1244C2×Q8—134no—
1245C2×Q8—138no—
1246C2×Q8—268no—
1247C2×Q8—264no—
1248C2×Q8C23×D1312yes—
1249C2×Q8C23×D1314yes—
1250C2×D4—24no—
1251C2×D4—134no—
1252C2×D4—138no—
1253C2×D4—134no—
1254C2×D4—134no—
1255C2×D4—138no—
1256C2×D4—138no—
1257C2×D4—138no—
1258C2×D4—134no—
1259C2×D4—132no—
1260C2×D4—134no—
1261C2×D4—268no—
1262C2×D4—2616no—
1263C2×D4—268no—
1264C2×D4C23×D1314yes—
1265C2×D4C23×D1312yes—
1266C2×D4C23×D1314yes—
1267C2×D4C23×D1314yes—
1268C2×D4C23×D1318yes—
1269C2×D4C23×D1318yes—
1270C22×C4—44no—
1271C22×C4—131no—
1272C22×C4—138no—
1273C22×C4—132no—
1274C22×C4—132no—
1275C22×C4—131no—
1276C22×C4—132no—
1277C22×C4—134no—
1278C22×C4—134no—
1279C22×C4—134no—
1280C22×C4—134no—
1281C22×C4—134no—
1282C22×C4—131no—
1283C22×C4—132no—
1284C22×C4—134no—
1285C22×C4—134no—
1286C22×C4—132no—
1287C22×C4—134no—
1288C22×C4—134no—
1289C22×C4—134no—
1290C22×C4—134no—
1291C22×C4—132no—
1292C22×C4—134no—
1293C22×C4—132no—
1294C22×C4—132no—
1295C22×C4—134no—
1296C22×C4—134no—
1297C22×C4—134no—
1298C22×C4—134no—
1299C22×C4—2616no—
1300C22×C4—268no—
1301C22×C4—522no—
1302C22×C4—528no—
1303C22×C4—522no—
1304C22×C4—528no—
1305C22×C4—524no—
1306C22×C4C23×D1314yes—
1307C22×C4C23×D1311yescharacteristic
1308C22×C4C23×D1314yes—
1309C22×C4C23×D1314yes—
1310C22×C4C23×D1312yes—
1311C22×C4C23×D1314yes—
1312C22×C4C23×D1311yescharacteristic
1313C22×C4C23×D1314yes—
1314C22×C4C23×D1311yescharacteristic
1315C4⋊C4—134no—
1316C4⋊C4—134no—
1317C4⋊C4—134no—
1318C4⋊C4—132no—
1319C4⋊C4—132no—
1320C4⋊C4—138no—
1321C4⋊C4—134no—
1322C4⋊C4—134no—
1323C4⋊C4—134no—
1324C4⋊C4—138no—
1325C4⋊C4—134no—
1326C4⋊C4—134no—
1327C4⋊C4—134no—
1328C4⋊C4—138no—
1329C4⋊C4—138no—
1330C4⋊C4—138no—
1331C4⋊C4—138no—
1332C4⋊C4—138no—
1333C4⋊C4—138no—
1334C4⋊C4—134no—
1335C4⋊C4—134no—
1336C4⋊C4—138no—
1337C4⋊C4—138no—
1338C4⋊C4—138no—
1339C4⋊C4C23×D1312yes—
1340C4⋊C4C23×D1312yes—
1341C4⋊C4C23×D1314yes—
1342C4⋊C4C23×D1314yes—
1343C4⋊C4C23×D1314yes—
1344C4⋊C4C23×D1318yes—
1345C4⋊C4C23×D1314yes—
1346C4⋊C4C23×D1314yes—
1347C22⋊C4—134no—
1348C22⋊C4—134no—
1349C22⋊C4—134no—
1350C22⋊C4—138no—
1351C22⋊C4—138no—
1352C22⋊C4—138no—
1353C22⋊C4—138no—
1354C22⋊C4—138no—
1355C22⋊C4—138no—
1356C22⋊C4—138no—
1357C22⋊C4—134no—
1358C22⋊C4—134no—
1359C22⋊C4—134no—
1360C22⋊C4—134no—
1361C22⋊C4—134no—
1362C22⋊C4—134no—
1363C22⋊C4—138no—
1364C22⋊C4—138no—
1365C22⋊C4—138no—
1366C22⋊C4—138no—
1367C22⋊C4C23×D1314yes—
1368C22⋊C4C23×D1314yes—
1369C22⋊C4C23×D1314yes—
1370C22⋊C4C23×D1318yes—
1371C22⋊C4C23×D1318yes—
1372C22⋊C4C23×D1318yes—
1373C22⋊C4C23×D1318yes—
1374C42—131no—
1375C42—132no—
1376C42—131no—
1377C42—132no—
1378C42—134no—
1379C42—134no—
1380C42—134no—
1381C42—134no—
1382C42—134no—
1383C42—134no—
1384C42—132no—
1385C42—132no—
1386C42—134no—
1387C42—134no—
1388C42—134no—
1389C42—134no—
1390C42—134no—
1391C42—134no—
1392C42—134no—
1393C42—131no—
1394C42—131no—
1395C42—134no—
1396C42—134no—
1397C42C23×D1312yes—
1398C42C23×D1314yes—
1399C42C23×D1314yes—
1400C42C23×D1312yes—
1401C42C23×D1314yes—
1402C13#6268611yescharacteristic, complemented, Sylow
1403C23—24no—
1404C23—42no—
1405C23—42no—
1406C23—132no—
1407C23—134no—
1408C23—134no—
1409C23—268no—
1410C23—521no—
1411C23—521no—
1412C23—524no—
1413C23—524no—
1414C23C24×D1314yes—
1415C23C24×D1314yes—
1416C23C24×D1311yescharacteristic
1417Q8—24no—
1418Q8—44no—
1419Q8—268no—
1420Q8—268no—
1421Q8—264no—
1422Q8—528no—
1423Q8—524no—
1424D4—28no—
1425D4—28no—
1426D4—24no—
1427D4—44no—
1428D4—48no—
1429D4—48no—
1430D4—268no—
1431D4—268no—
1432D4—268no—
1433D4—2616no—
1434D4—268no—
1435D4—264no—
1436D4—524no—
1437D4—528no—
1438D4—528no—
1439D4—528no—
1440C2×C4—28no—
1441C2×C4—22no—
1442C2×C4—28no—
1443C2×C4—28no—
1444C2×C4—44no—
1445C2×C4—42no—
1446C2×C4—41no—
1447C2×C4—44no—
1448C2×C4—134no—
1449C2×C4—131no—
1450C2×C4—131no—
1451C2×C4—131no—
1452C2×C4—138no—
1453C2×C4—138no—
1454C2×C4—131no—
1455C2×C4—132no—
1456C2×C4—134no—
1457C2×C4—134no—
1458C2×C4—134no—
1459C2×C4—134no—
1460C2×C4—134no—
1461C2×C4—268no—
1462C2×C4—264no—
1463C2×C4—268no—
1464C2×C4—268no—
1465C2×C4—268no—
1466C2×C4—268no—
1467C2×C4—268no—
1468C2×C4—262no—
1469C2×C4—268no—
1470C2×C4—268no—
1471C2×C4—264no—
1472C2×C4—268no—
1473C2×C4—264no—
1474C2×C4—268no—
1475C2×C4—522no—
1476C2×C4—524no—
1477C2×C4—524no—
1478C2×C4—522no—
1479C2×C4—524no—
1480C2×C4—524no—
1481C2×C4—524no—
1482C2×C4—522no—
1483C2×C4—521no—
1484C2×C4—524no—
1485C2×C4#41×D1314yes—
1486C2×C4C24×D1311yescharacteristic
1487C2×C4C24×D1312yes—
1488C2×C4C24×D1314yes—
1489C2×C4C24×D1314yes—
1490C2×C4C24×D1314yes—
1491C2×C4C24×D1314yes—
1492C2×C4C24×D1312yes—
1493C2×C4C24×D1311yescharacteristic
1494C22—21no—
1495C22—21no—
1496C22—24no—
1497C22—24no—
1498C22—24no—
1499C22—24no—
1500C22—24no—
1501C22—24no—
1502C22—48no—
1503C22—134no—
1504C22—262no—
1505C22—262no—
1506C22—264no—
1507C22—264no—
1508C22—264no—
1509C22—524no—
1510C22—5216no—
1511C22C2×#41×D1312yes—
1512C22C25×D1311yescharacteristic
1513C4—24no—
1514C4—22no—
1515C4—24no—
1516C4—21no—
1517C4—24no—
1518C4—24no—
1519C4—132no—
1520C4—132no—
1521C4—132no—
1522C4—264no—
1523C4—264no—
1524C4—261no—
1525C4—264no—
1526C4—264no—
1527C4—262no—
1528C4—264no—
1529C4C2×#41×D1314yes—
1530C4#1171965012yes—
1531C2—22no—
1532C2—44no—
1533C2—44no—
1534C2—264no—
1535C2—524no—
1536C2C22×#41×D1311yescharacteristic
1537C2D13×#58511yescharacteristic
1538C2C2×#1171965011yescharacteristic
subgroupG/H
centerC2×C4C24×D13
commutator, socle, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC13×#3460C2
hypercenter#3460D13
hypocenterC13#62686
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #3460

Complements

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

NH ≅ G/Ntype
1. #13128270C2semidirect
2. #13128264C2semidirect
3. #13128263C2semidirect
4. #13128262C2semidirect
5. #13128261C2semidirect
6. #13128258C2semidirect
7. #13128251C2semidirect
8. #13128250C2semidirect
9. #13128249C2semidirect
10. #13128247C2semidirect
11. #13128243C2semidirect
12. #13128240C2semidirect
13. #13128223C2semidirect
14. #13128220C2semidirect
15. #13128218C2semidirect
16. #13128167C2semidirect
17. #13128164C2semidirect
18. #13128131C2semidirect
19. #13128130C2semidirect
20. #13128128C2semidirect
21. C2×C4×#6129C2semidirect
22. C4×#41×D13C2semidirect
23. C13×#3460C2semidirect
26. C13×#544C22semidirect
27. C13×#542C22semidirect
28. C13×#540C22semidirect
29. C13×#538C22semidirect
31. C13×#535C22semidirect
32. C13×#532C22semidirect
33. C13×#529C22semidirect
34. C13×#525C22semidirect
35. C4×C13×#41C22semidirect
36. C2×C4×D4×C13C22semidirect
38. #11719537C22semidirect
39. #11719533C22semidirect
40. #41×Dic13C22semidirect
41. #41×Dic13C22semidirect
42. #11719530C22semidirect
43. #11719510C22semidirect
44. C2×D4×Dic13C22semidirect
45. #11719496C22semidirect
47. C22×C4×Dic13C22semidirect
48. #11719438C22semidirect
49. #11719434C22semidirect
50. #11719433C22semidirect
51. #11719433C22semidirect
52. #11719424C22semidirect
54. #11719421C22semidirect
55. #11719420C22semidirect
56. #11719412C22semidirect
57. #11719411C22semidirect
58. #11719411C22semidirect
59. #11719406C22semidirect
60. #11719402C22semidirect
61. #11719396C22semidirect
62. #11719394C22semidirect
63. #11719393C22semidirect
64. #11719387C22semidirect
65. #11719385C22semidirect
66. #11719385C22semidirect
67. #11719385C22semidirect
68. #11719383C22semidirect
69. #11719380C22semidirect
70. #11719374C22semidirect
72. #11719367C22semidirect
73. #11719365C22semidirect
74. #11719365C22semidirect
75. #11719362C22semidirect
76. #11719361C22semidirect
77. #11719354C22semidirect
78. #11719354C22semidirect
79. #11719354C22semidirect
80. #11719350C22semidirect
81. #11719343C22semidirect
83. #11719333C22semidirect
84. #11719332C22semidirect
85. #11719330C22semidirect
86. #11719329C22semidirect
87. #11719329C22semidirect
88. #11719327C22semidirect
89. #11719327C22semidirect
90. #11719327C22semidirect
91. #11719324C22semidirect
92. #11719320C22semidirect
93. #11719318C22semidirect
94. #11719318C22semidirect
97. #11719312C22semidirect
98. #11719311C22semidirect
99. #11719311C22semidirect
100. #11719311C22semidirect
101. #11719311C22semidirect
103. #11719308C22semidirect
104. #11719308C22semidirect
105. #11719307C22semidirect
106. #11719305C22semidirect
107. #11719305C22semidirect
108. #11719305C22semidirect
109. #11719305C22semidirect
110. #11719305C22semidirect
112. #11719301C22semidirect
113. #11719301C22semidirect
114. #11719298C22semidirect
116. #11719291C22semidirect
117. #11719291C22semidirect
118. #11719288C22semidirect
119. #11719283C22semidirect
120. C4×#6131C22semidirect
121. C4×#6131C22semidirect
122. C4×Q8×D13C22semidirect
123. C4×Q8×D13C22semidirect
124. #11719269C22semidirect
125. #11719267C22semidirect
126. #11719266C22semidirect
127. #11719266C22semidirect
128. #11719262C22semidirect
129. #11719262C22semidirect
130. #11719262C22semidirect
131. #11719253C22semidirect
132. #11719252C22semidirect
135. C4×D4×D13C22semidirect
136. C4×D4×D13C22semidirect
137. #11719243C22semidirect
138. #11719243C22semidirect
139. C4×#6129C22semidirect
140. C4×#6129C22semidirect
141. C4×#6129C22semidirect
142. C4×#6129C22semidirect
143. C4×#6129C22semidirect
144. C4×#6129C22semidirect
145. C4×#6129C22semidirect
146. C4×#6129C22semidirect
147. C4×#6129C22semidirect
148. #11719239C22semidirect
149. #11719233C22semidirect
150. #11719231C22semidirect
151. #11719227C22semidirect
152. #11719227C22semidirect
153. #11719227C22semidirect
155. D13×#117C22semidirect
156. #11719224C22semidirect
157. #11719223C22semidirect
158. #11719222C22semidirect
161. #11719205C22semidirect
162. C2×#88141C22semidirect
163. #11719199C22semidirect
165. C2×#88131C22semidirect
166. #11719184C22semidirect
167. C4×#6127C22semidirect
168. C4×#6127C22semidirect
170. C2×C42×D13C22semidirect
171. #11719175C22semidirect
172. C2×C4×Dic26C22semidirect
525. C2×C4×D13#41semidirect
643. #3460D13semidirect
754. #544C2×D13semidirect
765. #542C2×D13semidirect
775. #540C2×D13semidirect
789. #538C2×D13semidirect
802. #535C2×D13semidirect
822. #532C2×D13semidirect
846. #529C2×D13semidirect
858. #525C2×D13semidirect
877. C4×#41C2×D13semidirect
889. C2×C4×D4C2×D13semidirect
1402. C13#62686semidirect

Maximal subgroups

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

subgroupindex
#131282702
#131282642
#131282632
#131282622
#131282612
#131282582
#131282512
#131282502
#131282492
#131282472
#131282432
#131282402
#131282232
#131282202
#131282182
#131281672
#131281642
#131281312
#131281302
#131281282
C2×C4×#61292
C4×#41×D132
C13×#34602
#6268613