Finite Group Databasebeta

← #16769779

Subgroups — #16769779

Order 3328.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128268C214yesmaximal, complemented
2#13128266C214yesmaximal, complemented
3#13128262C214yesmaximal, complemented
4#13128256C214yesmaximal, complemented
5#13128255C214yesmaximal, complemented
6#13128251C214yesmaximal, complemented
7#13128247C214yesmaximal, complemented
8#13128244C214yesmaximal, complemented
9#13128239C211yesmaximal, characteristic, complemented
10#13128226C211yesmaximal, characteristic, complemented
11#13128221C212yesmaximal, complemented
12#13128219C218yesmaximal, complemented
13#13128166C212yesmaximal, complemented
14#13128163C211yesmaximal, characteristic, complemented
15#13128133C211yesmaximal, characteristic, complemented
16#13128131C211yesmaximal, characteristic, complemented
17#13128130C218yesmaximal, complemented
18#13128128C212yesmaximal, complemented
19C2×#11719227C211yesmaximal, characteristic, complemented
20C4×#41×D13C212yesmaximal, complemented
21C13×#3455C211yesmaximal, characteristic, complemented
22C2×#41×D13C2212yes—
23C22×#6127C2211yescharacteristic
24C13×#542C2214yescomplemented
25C13×#541C2212yescomplemented
26C13×#540C2212yescomplemented
27C13×#539C2214yescomplemented
28C13×#538C2214yescomplemented
29C13×#533C2211yescharacteristic, complemented
30C13×#532C2211yescharacteristic
31C13×#529C2218yescomplemented
32C13×#525C2212yescomplemented
33C4×C13×#41C2212yescomplemented
34C2×C13×#117C2211yescharacteristic, complemented
35#11719537C2212yes—
36#11719533C2212yescomplemented
37#41×Dic13C2212yescomplemented
38#11719496C2212yescomplemented
39C22×C4×Dic13C2211yescharacteristic, complemented
40#11719434C2214yescomplemented
41#11719433C2212yescomplemented
42#11719433C2212yescomplemented
43#11719430C2212yescomplemented
44#11719429C2212yescomplemented
45#11719421C2212yescomplemented
46#11719420C2212yescomplemented
47#11719415C2218yescomplemented
48#11719412C2218yescomplemented
49#11719411C2218yescomplemented
50#11719411C2218yescomplemented
51#11719411C2218yescomplemented
52#11719411C2218yescomplemented
53#11719409C2218yescomplemented
54#11719406C2218yescomplemented
55#11719401C2218yescomplemented
56#11719397C2218yescomplemented
57#11719396C2218yescomplemented
58#11719396C2214yescomplemented
59#11719394C2214yescomplemented
60#11719393C2218yescomplemented
61#11719385C2218yescomplemented
62#11719385C2214yescomplemented
63#11719383C2218yescomplemented
64#11719380C2212yescomplemented
65#11719379C2212yescomplemented
66#11719374C2218yescomplemented
67#11719373C2218yescomplemented
68#11719368C2218yescomplemented
69#11719367C2218yescomplemented
70#11719365C2218yescomplemented
71#11719362C2218yescomplemented
72#11719361C2218yescomplemented
73#11719361C2218yescomplemented
74#11719358C2214yes—
75#11719354C2218yescomplemented
76#11719354C2218yescomplemented
77#11719354C2218yescomplemented
78#11719353C2214yescomplemented
79#11719345C2218yescomplemented
80#11719343C2218yescomplemented
81#11719339C2214yes—
82#11719334C2214yes—
83#11719333C2214yescomplemented
84#11719332C2214yescomplemented
85#11719332C2218yescomplemented
86#11719329C2214yescomplemented
87#11719329C2214yescomplemented
88#11719328C2214yescomplemented
89#11719327C2218yescomplemented
90#11719327C2214yescomplemented
91#11719320C2218yescomplemented
92#11719318C2218yescomplemented
93#11719313C2214yes—
94#11719312C2214yescomplemented
95#11719311C2214yescomplemented
96#11719311C2218yescomplemented
97#11719310C2214yes—
98#11719305C2214yescomplemented
99#11719305C2214yescomplemented
100#11719302C2214yes—
101#11719301C2218yescomplemented
102#11719301C2214yescomplemented
103#11719297C2214yescomplemented
104#11719294C2214yes—
105#11719291C2218yescomplemented
106#11719288C2214yescomplemented
107#11719287C2214yescomplemented
108#11719285C2214yescomplemented
109#11719283C2218yescomplemented
110C4×#6131C2214yescomplemented
111C4×#6131C2214yescomplemented
112C4×Q8×D13C2214yescomplemented
113#11719269C2218yescomplemented
114#11719267C2214yescomplemented
115#11719266C2214yescomplemented
116#11719265C2218yescomplemented
117#11719262C2214yescomplemented
118#11719253C2218yes—
119#11719252C2218yescomplemented
120#11719252C2218yescomplemented
121C4×D4×D13C2218yes—
122C4×D4×D13C2214yescomplemented
123#11719243C2218yescomplemented
124C4×#6129C2214yescomplemented
125C4×#6129C2218yescomplemented
126C4×#6129C2218yescomplemented
127C4×#6129C2214yescomplemented
128#11719240C2212yescomplemented
129#11719239C2214yescomplemented
130#11719233C2218yescomplemented
131#11719233C2218yescomplemented
132#11719229C2212yescomplemented
133#11719227C2214yescomplemented
134#11719227C2214yescomplemented
135#11719227C2214yescomplemented
136#11719227C2212yescomplemented
137#11719227C2214yescomplemented
138#11719227C2214yescomplemented
139D13×#117C2212yes—
140D13×#117C2214yescomplemented
141#11719223C2212yescomplemented
142#11719222C2212yescomplemented
143#11719220C2214yescomplemented
144C2×#88147C2212yes—
145C2×#88141C2212yescomplemented
146#11719199C2214yescomplemented
147C2×#88135C2212yes—
148C2×#88135C2212yescomplemented
149#11719184C2218yescomplemented
150#11719182C2211yescharacteristic
151C4×#6127C2214yescomplemented
152C4×#6127C2212yescomplemented
153C2×#88126C2211yescharacteristic
154C2×#88126C2211yescharacteristic, complemented
155C2×C42×D13C2211yescharacteristic
156C2×C42×D13C2214yescomplemented
157C2×C42×D13C2211yescharacteristic, complemented
158#11719175C2211yescharacteristic, complemented
159C2×C13×#41C2312yes—
160C23×C4×C13C2311yescharacteristic
161C22×C22⋊D13C2311yescharacteristic
162C22×C22⋊D13C2311yescharacteristic
163C23×Dic13C2312yes—
164#41×D13—216no—
165C2×#6131C2312yes—
166C2×#6131C2314yes—
167C2×Q8×D13C2312yes—
168C2×#6129C2314yes—
169C2×#6129C2312yes—
170C2×#6129C2318yes—
171C2×#6129C2314yes—
172C2×D4×D13C2314yes—
173C2×D4×D13C2312yes—
174C2×#6127—28no—
175C2×#6127C2312yes—
176C2×#6127C2314yes—
177C2×#6127C2314yes—
178C2×#6127C2314yes—
179C22×D52C2311yescharacteristic
180C22×C4×D13C2311yescharacteristic
181C22×C4×D13C2314yes—
182C22×C4×D13C2312yes—
183C22×C4×D13C2312yes—
184C22×C4×D13C2318yes—
185C22×C4×D13C2311yescharacteristic
186C22×Dic26C2311yescharacteristic
187C13×C4⋊Q8C2311yescharacteristic
188C13×C4⋊Q8C2312yes—
189C13×#127C2311yescharacteristic
190C13×#126C2318yes—
191C13×#126C2318yes—
192C13×#125C2318yes—
193C13×#125C2312yes—
194C13×#124C2318yes—
195C13×#124C2312yes—
196C13×#123C2314yes—
197C13×#123C2318yes—
198C13×#123C2318yes—
199C13×C22⋊Q8C2314yes—
200C13×C22⋊Q8C2318yes—
201C13×C22⋊Q8C2314yes—
202C13×#121C2314yes—
203C13×#121C2318yes—
204C13×#121C2314yes—
205C13×#120C2314yes—
206C4×Q8×C13C2314yes—
207C4×Q8×C13C2314yes—
208C4×D4×C13C2318yes—
209C4×D4×C13C2318yes—
210C4×D4×C13C2314yes—
211C4×D4×C13C2314yes—
212C13×#117C2312yes—
213C13×#117C2312yes—
214C13×#117C2314yes—
215C13×#117C2314yes—
216C13×#117C2312yes—
217C2×C13×C4⋊C4C2312yes—
218C2×C13×C22⋊C4C2312yes—
219C2×C42×C13C2311yescharacteristic
220C2×C42×C13C2311yescharacteristic
221C2×C42×C13C2314yes—
222#88207C2314yes—
223#88201C2312yes—
224#88201C2314yes—
225#88200C2314yes—
226#88200C2314yes—
227#88200C2318yes—
228Q8×Dic13C2314yes—
229Q8×Dic13C2314yes—
230#88198C2312yes—
231#88198C2318yes—
232#88194C2318yes—
233#88194C2312yes—
234#88193C2318yes—
235#88193C2318yes—
236#88193C2318yes—
237#88193C2318yes—
238#88192C2318yes—
239#88192C2314yes—
240#88192C2314yes—
241#88191C2318yes—
242#88191C2318yes—
243#88191C2314yes—
244#88190C2314yes—
245#88190C2312yes—
246#88189C2318yes—
247#88189C2314yes—
248D4×Dic13C2318yes—
249D4×Dic13C2314yes—
250D4×Dic13C2318yes—
251D4×Dic13C2314yes—
252#88184C2314yes—
253#88184C2318yes—
254#88184C2314yes—
255#88183C2318yes—
256#88183C2318yes—
257#88183C2314yes—
258C4×C22⋊D13C2318yes—
259C4×C22⋊D13C2318yes—
260C4×C22⋊D13C2318yes—
261C4×C22⋊D13C2318yes—
262C4×C22⋊D13C2318yes—
263C4×C22⋊D13C2318yes—
264C2×#6103C2312yes—
265C2×#6103C2312yes—
266#88180C2312yes—
267#88180C2314yes—
268#88178C2314yes—
269#88178C2318yes—
270#88178C2314yes—
271C2×#6101C2312yes—
272C2×#6101C2312yes—
273C2×C4×Dic13C2311yescharacteristic
274C2×C4×Dic13C2312yes—
275C2×C4×Dic13C2312yes—
276C2×C4×Dic13C2314yes—
277C2×C4×Dic13C2318yes—
278C2×C4×Dic13C2311yescharacteristic
279C2×C4×Dic13C2312yes—
280C2×C4×Dic13C2312yes—
281C2×C4×Dic13C2312yes—
282C2×C4×Dic13C2314yes—
283#88152C2318yes—
284#88152C2318yes—
285#88152C2318yes—
286#88152C2318yes—
287#88151C2314yes—
288#88151C2314yes—
289#88151C2318yes—
290#88150C2318yes—
291#88150C2318yes—
292#88150C2318yes—
293#88150C2318yes—
294#88150C2318yes—
295#88150C2318yes—
296#88149C2314yes—
297#88149C2314yes—
298#88149C2318yes—
299#88148C2318yes—
300#88148C2318yes—
301#88148C2318yes—
302#88148C2318yes—
303#88148C2318yes—
304#88147C2314yes—
305#88147C2314yes—
306#88147C2314yes—
307#88147C2314yes—
308#88147C2314yes—
309#88147C2314yes—
310#88147C2318yes—
311#88147C2318yes—
312#88146C2314yes—
313#88146C2314yes—
314#88146C2314yes—
315#88146C2318yes—
316#88146C2318yes—
317#88146C2318yes—
318C4⋊C4×D13C2314yes—
319C4⋊C4×D13C2318yes—
320#88144C2314yes—
321#88144C2314yes—
322#88144C2314yes—
323#88143C2318yes—
324#88143C2318yes—
325#88143C2318yes—
326#88143C2318yes—
327#88143C2318yes—
328#88142C2314yes—
329#88142C2318yes—
330#88142C2318yes—
331#88141C2314yes—
332#88141C2314yes—
333#88141C2314yes—
334#88141C2314yes—
335#88141C2314yes—
336#88141C2314yes—
337#88141C2318yes—
338#88141C2318yes—
339#88140C2314yes—
340#88140C2318yes—
341#88139C2318yes—
342#88139C2318yes—
343#88139C2318yes—
344#88139C2318yes—
345#88139C2318yes—
346#88138C2318yes—
347#88138C2318yes—
348#88138C2318yes—
349#88138C2318yes—
350#88138C2318yes—
351#88138C2318yes—
352#88137C2318yes—
353#88137C2318yes—
354#88137C2318yes—
355#88137C2318yes—
356#88137C2318yes—
357#88136C2314yes—
358#88136C2318yes—
359#88136C2318yes—
360#88135C2314yes—
361#88135C2314yes—
362#88135C2314yes—
363#88135C2314yes—
364#88135C2314yes—
365#88135C2314yes—
366#88135C2314yes—
367#88135C2314yes—
368#88135C2318yes—
369#88135C2318yes—
370#88135C2318yes—
371#88135C2318yes—
372#88135C2318yes—
373#88135C2318yes—
374C22⋊C4×D13C2314yes—
375C22⋊C4×D13C2318yes—
376#88133C2318yes—
377#88133C2318yes—
378#88133C2318yes—
379#88133C2318yes—
380#88132C2318yes—
381#88132C2318yes—
382#88132C2318yes—
383#88132C2318yes—
384#88131C2314yes—
385#88131C2318yes—
386#88131C2318yes—
387#88131C2318yes—
388#88131C2318yes—
389#88130C2318yes—
390#88130C2318yes—
391#88129C2312yes—
392#88129C2318yes—
393#88128C2311yescharacteristic
394C4×D52C2314yes—
395C4×D52C2318yes—
396C4×D52C2314yes—
397C4×D52C2318yes—
398#88126C2312yes—
399#88126C2312yes—
400#88126C2314yes—
401#88126C2314yes—
402#88126C2314yes—
403#88126C2314yes—
404#88126C2314yes—
405#88126C2314yes—
406C42×D13C2312yes—
407C42×D13C2312yes—
408C42×D13C2312yes—
409C42×D13C2314yes—
410C42×D13C2312yes—
411C42×D13C2314yes—
412C42×D13C2314yes—
413C42×D13C2312yes—
414C42×D13C2314yes—
415C42×D13C2312yes—
416C42×D13C2318yes—
417C42×D13C2318yes—
418#88124C2312yes—
419#88124C2318yes—
420#88123C2312yes—
421#88123C2311yescharacteristic
422C4×Dic26C2314yes—
423C4×Dic26C2314yes—
424C4×Dic26C2318yes—
425C4×Dic26C2318yes—
426#62686—131nomaximal, Sylow
427C24×C13C2411yescharacteristic
428C23×D13C2414yes—
429C23×D13C2411yescharacteristic
430C23×D13C2411yescharacteristic
431C13×#41—28no—
432C2×Q8×C13C2412yes—
433C2×Q8×C13C2414yes—
434C2×D4×C13C2414yes—
435C2×D4×C13C2412yes—
436C2×D4×C13C2418yes—
437C2×D4×C13C2414yes—
438C22×C4×C13—24no—
439C22×C4×C13C2412yes—
440C22×C4×C13C2412yes—
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2414yes—
443C22×C4×C13C2412yes—
444C22×C4×C13C2412yes—
445C22×C4×C13C2418yes—
446C22×C4×C13C2411yescharacteristic
447C2×C22⋊D13—24no—
448C2×C22⋊D13—24no—
449C2×C22⋊D13C2414yes—
450C2×C22⋊D13C2414yes—
451C2×C22⋊D13C2414yes—
452C2×C22⋊D13C2414yes—
453C2×C22⋊D13C2414yes—
454C2×C22⋊D13C2418yes—
455C2×C22⋊D13C2418yes—
456C2×C22⋊D13C2418yes—
457C22×Dic13—44no—
458C22×Dic13C2414yes—
459C22×Dic13C2414yes—
460C22×Dic13C2418yes—
461C22×Dic13C2412yes—
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2412yes—
464C22×Dic13C2414yes—
465C22×Dic13C2411yescharacteristic
466#6131—28no—
467#6131—48no—
468Q8×D13—28no—
469#6129—216no—
470#6129—28no—
471#6129—48no—
472#6129—416no—
473D4×D13—216no—
474D4×D13—28no—
475#6127—28no—
476#6127—216no—
477#6127—216no—
478#6127—216no—
479C2×D52—24no—
480C2×D52C2412yes—
481C2×D52C2414yes—
482C2×D52C2414yes—
483C2×D52C2414yes—
484C2×D52C2418yes—
485C2×C4×D13—24no—
486C2×C4×D13—216no—
487C2×C4×D13—44no—
488C2×C4×D13—416no—
489C2×C4×D13—44no—
490C2×C4×D13#4118yescomplemented
491C2×C4×D13C2414yes—
492C2×C4×D13C2414yes—
493C2×C4×D13C2412yes—
494C2×C4×D13C2412yes—
495C2×C4×D13C2412yes—
496C2×C4×D13C2418yes—
497C2×C4×D13C2412yes—
498C2×C4×D13C2414yes—
499C2×C4×D13C2414yes—
500C2×C4×D13C2414yes—
501C2×C4×D13C2418yes—
502C2×C4×D13C2418yes—
503C2×C4×D13C2412yes—
504C2×C4×D13C2412yes—
505C2×C4×D13C2412yes—
506C2×C4×D13C2412yes—
507C2×Dic26—24no—
508C2×Dic26C2412yes—
509C2×Dic26C2414yes—
510C2×Dic26C2414yes—
511C2×Dic26C2414yes—
512C2×Dic26C2418yes—
513C13×C4⋊C4C2414yes—
514C13×C4⋊C4C2414yes—
515C13×C4⋊C4C2418yes—
516C13×C4⋊C4C2414yes—
517C13×C4⋊C4C2418yes—
518C13×C4⋊C4C2414yes—
519C13×C4⋊C4C2418yes—
520C13×C4⋊C4C2414yes—
521C13×C22⋊C4C2414yes—
522C13×C22⋊C4C2418yes—
523C13×C22⋊C4C2418yes—
524C13×C22⋊C4C2418yes—
525C13×C22⋊C4C2418yes—
526C13×C22⋊C4C2414yes—
527C13×C22⋊C4C2414yes—
528C42×C13C2412yes—
529C42×C13C2412yes—
530C42×C13C2414yes—
531C42×C13C2418yes—
532C42×C13C2411yescharacteristic
533C42×C13C2411yescharacteristic
534C42×C13C2412yes—
535C22⋊Dic13C2414yes—
536C22⋊Dic13C2418yes—
537C22⋊Dic13C2418yes—
538C22⋊Dic13C2418yes—
539C22⋊Dic13C2418yes—
540#6103C2414yes—
541#6103C2414yes—
542#6103C2414yes—
543#6103C2414yes—
544#6103C2418yes—
545#6103C2418yes—
546#6103C2418yes—
547#6103C2418yes—
548#6103C2418yes—
549#6103C2418yes—
550#6103C2418yes—
551#6103C2418yes—
552#6103C2418yes—
553C4⋊Dic13C2414yes—
554C4⋊Dic13C2414yes—
555C4⋊Dic13C2418yes—
556C4⋊Dic13C2418yes—
557C4⋊Dic13C2414yes—
558C4⋊Dic13C2418yes—
559#6101C2418yes—
560#6101C2418yes—
561#6101C2418yes—
562#6101C2418yes—
563#6101C2418yes—
564#6101C2418yes—
565#6101C2414yes—
566#6101C2418yes—
567#6101C2418yes—
568#6101C2414yes—
569#6101C2414yes—
570#6101C2414yes—
571#6101C2418yes—
572C4×Dic13C2414yes—
573C4×Dic13C2412yes—
574C4×Dic13C2414yes—
575C4×Dic13C2418yes—
576C4×Dic13C2411yescharacteristic
577C4×Dic13C2411yescharacteristic
578C4×Dic13C2414yes—
579C4×Dic13C2412yes—
580C4×Dic13C2412yes—
581C4×Dic13C2418yes—
582C4×Dic13C2418yes—
583C4×Dic13C2418yes—
584C4×Dic13C2412yes—
585C4×Dic13C2412yes—
586C4×Dic13C2412yes—
587C4×Dic13C2412yes—
588C4×Dic13C2414yes—
589C4×Dic13C2414yes—
590#3461—134no—
591#3461—134no—
592#3461—134no—
593#3460—134no—
594#3460—134no—
595#3460—134no—
596#3459—134no—
597#3459—134no—
598#3458—131no—
599#3455—138no—
600#3455—132no—
601#3455—131no—
602#3455D1311yescharacteristic, complemented
603#3449—131no—
604#3449—132no—
605#3444—131no—
606#3444—131no—
607#3444—138no—
608#3444—132no—
609C2×C4×#41—132no—
610C2×C4×#41—131no—
611C23×C13—22no—
612C23×C13—42no—
613C23×C13C2514yes—
614C23×C13C2512yes—
615C23×C13C2511yescharacteristic
616C22×D13—22no—
617C22×D13—28no—
618C22×D13—42no—
619C22×D13—48no—
620C22×D13—42no—
621C22×D13C2×#4114yes—
622C22×D13C2512yes—
623C22×D13C2514yes—
624C22×D13C2512yes—
625Q8×C13—24no—
626Q8×C13—44no—
627D4×C13—28no—
628D4×C13—24no—
629D4×C13—44no—
630D4×C13—48no—
631C2×C4×C13—22no—
632C2×C4×C13—28no—
633C2×C4×C13—24no—
634C2×C4×C13—24no—
635C2×C4×C13—42no—
636C2×C4×C13—48no—
637C2×C4×C13—42no—
638C2×C4×C13C2×#4114yes—
639C2×C4×C13C2514yes—
640C2×C4×C13C2512yes—
641C2×C4×C13C2512yes—
642C2×C4×C13C2514yes—
643C2×C4×C13C2518yes—
644C2×C4×C13C2512yes—
645C2×C4×C13C2511yescharacteristic
646C2×C4×C13C2511yescharacteristic
647C22⋊D13—28no—
648C22⋊D13—28no—
649C22⋊D13—28no—
650C22⋊D13—28no—
651C22⋊D13—28no—
652C22⋊D13—48no—
653C22⋊D13—48no—
654C22⋊D13—48no—
655C2×Dic13—22no—
656C2×Dic13—28no—
657C2×Dic13—24no—
658C2×Dic13—216no—
659C2×Dic13—28no—
660C2×Dic13—42no—
661C2×Dic13—44no—
662C2×Dic13C2×#4114yes—
663C2×Dic13C2512yes—
664C2×Dic13C2514yes—
665C2×Dic13C2514yes—
666C2×Dic13C2512yes—
667C2×Dic13C2518yes—
668C2×Dic13C2512yes—
669C2×Dic13C2512yes—
670D52—28no—
671D52—28no—
672D52—24no—
673D52—48no—
674D52—44no—
675C4×D13—28no—
676C4×D13—24no—
677C4×D13—24no—
678C4×D13—28no—
679C4×D13—28no—
680C4×D13—28no—
681C4×D13—24no—
682C4×D13—216no—
683C4×D13—24no—
684C4×D13—48no—
685C4×D13—48no—
686C4×D13—42no—
687C4×D13—44no—
688C4×D13—42no—
689C4×D13C2×#4118yes—
690C4×D13C2×#4118yes—
691Dic26—24no—
692Dic26—28no—
693Dic26—28no—
694Dic26—44no—
695Dic26—48no—
696C22×#41—132no—
697C22×#41—131no—
698#544—134no—
699#544—134no—
700#544—134no—
701#543—134no—
702#542—138no—
703#542—138no—
704#542—138no—
705#542—138no—
706#542—134no—
707#542—134no—
708#542—134no—
709#542C2×D1314yescomplemented
710#541—138no—
711#541—138no—
712#541—134no—
713#541—132no—
714#541C2×D1312yescomplemented
715#540—138no—
716#540—138no—
717#540—134no—
718#540—132no—
719#540C2×D1312yescomplemented
720#539—138no—
721#539—138no—
722#539—138no—
723#539—138no—
724#539—138no—
725#539—134no—
726#539C2×D1314yescomplemented
727#538—138no—
728#538—138no—
729#538—138no—
730#538—138no—
731#538—138no—
732#538—134no—
733#538C2×D1314yescomplemented
734#537—134no—
735#537—134no—
736#537—134no—
737#536—132no—
738#536—132no—
739#536—134no—
740#536—134no—
741#535—132no—
742#535—132no—
743#535—134no—
744#535—134no—
745#534—134no—
746#534—134no—
747#534—134no—
748#533—132no—
749#533—132no—
750#533—138no—
751#533—134no—
752#533—138no—
753#533—138no—
754#533—132no—
755#533—131no—
756#533C2×D1311yescharacteristic, complemented
757#532—132no—
758#532—132no—
759#532—132no—
760#532—138no—
761#532—134no—
762#532—138no—
763#532—138no—
764#532—131no—
765#532C2×D1311yescharacteristic
766#529—138no—
767#529—138no—
768#529—138no—
769#529—138no—
770#529—138no—
771#529—134no—
772#529—138no—
773#529—134no—
774#529—138no—
775#529—138no—
776#529—138no—
777#529—134no—
778#529—134no—
779#529—134no—
780#529—134no—
781#529—134no—
782#529—138no—
783#529—134no—
784#529—138no—
785#529—138no—
786#529—138no—
787#529C2×D1318yescomplemented
788#525—132no—
789#525—132no—
790#525—138no—
791#525—138no—
792#525—138no—
793#525—134no—
794#525—134no—
795#525—138no—
796#525—138no—
797#525—138no—
798#525—138no—
799#525—132no—
800#525C2×D1312yescomplemented
801C4×#41—132no—
802C4×#41—134no—
803C4×#41—134no—
804C4×#41—138no—
805C4×#41—134no—
806C4×#41—134no—
807C4×#41—138no—
808C4×#41—134no—
809C4×#41—134no—
810C4×#41—132no—
811C4×#41—134no—
812C4×#41—134no—
813C4×#41—134no—
814C4×#41—134no—
815C4×#41—132no—
816C4×#41C2×D1312yescomplemented
817C2×C4×Q8—134no—
818C2×C4×Q8—132no—
819C2×C4×D4—138no—
820C2×C4×D4—134no—
821C2×C4×D4—132no—
822C2×C4×D4—132no—
823C2×C4×D4—132no—
824C2×#117—132no—
825C2×#117—134no—
826C2×#117—131no—
827C2×#117—131no—
828C2×#117C2×D1311yescharacteristic, complemented
829C22×C42—131no—
830C22×C42—131no—
831C22×C42—131no—
832C22×C42—134no—
833C22×C13—22no—
834C22×C13—24no—
835C22×C13—22no—
836C22×C13—24no—
837C22×C13—28no—
838C22×C13—44no—
839C22×C13C22×#4112yes—
840C22×C13C2611yescharacteristic
841C2×D13—24no—
842C2×D13—22no—
843C2×D13—24no—
844C2×D13—22no—
845C2×D13—28no—
846C2×D13—22no—
847C2×D13—44no—
848C2×D13—416no—
849C2×D13—44no—
850C2×D13C22×#4114yes—
851C4×C13—22no—
852C4×C13—24no—
853C4×C13—22no—
854C4×C13—28no—
855C4×C13—24no—
856C4×C13—22no—
857C4×C13C22×#4112yes—
858C4×C13C22×#4112yes—
859Dic13—24no—
860Dic13—22no—
861Dic13—28no—
862Dic13—24no—
863Dic13—22no—
864Dic13C22×#4114yes—
865Dic13#58514yes—
866C2×#41—132no—
867C2×#41—134no—
868C2×#41—134no—
869C2×#41—132no—
870C2×#41—134no—
871C2×#41—138no—
872C2×#41—134no—
873C2×#41—134no—
874C2×#41—132no—
875C2×#41—134no—
876C2×#41—268no—
877C2×#41—2616no—
878C2×#41C22×D1312yes—
879C22×Q8—132no—
880C22×Q8—131no—
881C22×D4—131no—
882C22×D4—131no—
883C22×D4—134no—
884C22×D4—132no—
885C22×D4—131no—
886C23×C4—131no—
887C23×C4—132no—
888C23×C4—134no—
889C23×C4—131no—
890C23×C4—132no—
891C23×C4—132no—
892C23×C4—138no—
893C23×C4C22×D1311yescharacteristic
894C4⋊Q8—132no—
895C4⋊Q8—138no—
896C4⋊Q8—138no—
897C4⋊Q8—138no—
898C4⋊Q8—134no—
899C4⋊Q8—131no—
900C4⋊Q8—132no—
901C4⋊Q8C22×D1312yes—
902C4⋊Q8C22×D1311yescharacteristic
903#127—138no—
904#127—132no—
905#127—131no—
906#127C22×D1311yescharacteristic
907#126—138no—
908#126—138no—
909#126—138no—
910#126—138no—
911#126—138no—
912#126—138no—
913#126—138no—
914#126—138no—
915#126—138no—
916#126—138no—
917#126C22×D1318yes—
918#126C22×D1318yes—
919#125—138no—
920#125—138no—
921#125—138no—
922#125—134no—
923#125—134no—
924#125—138no—
925#125—138no—
926#125—134no—
927#125—138no—
928#125—132no—
929#125C22×D1312yes—
930#125C22×D1318yes—
931#124—132no—
932#124—134no—
933#124—132no—
934#124—134no—
935#124—138no—
936#124—138no—
937#124—138no—
938#124—138no—
939#124—138no—
940#124—132no—
941#124—138no—
942#124C22×D1312yes—
943#124C22×D1318yes—
944#123—134no—
945#123—138no—
946#123—134no—
947#123—138no—
948#123—138no—
949#123—138no—
950#123—138no—
951#123—138no—
952#123—138no—
953#123—138no—
954#123—138no—
955#123—138no—
956#123—134no—
957#123—138no—
958#123—138no—
959#123—138no—
960#123—138no—
961#123C22×D1318yes—
962#123C22×D1318yes—
963#123C22×D1314yes—
964C22⋊Q8—134no—
965C22⋊Q8—138no—
966C22⋊Q8—134no—
967C22⋊Q8—134no—
968C22⋊Q8—134no—
969C22⋊Q8—138no—
970C22⋊Q8—138no—
971C22⋊Q8—138no—
972C22⋊Q8—134no—
973C22⋊Q8—138no—
974C22⋊Q8—138no—
975C22⋊Q8—138no—
976C22⋊Q8—138no—
977C22⋊Q8—138no—
978C22⋊Q8—134no—
979C22⋊Q8—138no—
980C22⋊Q8—138no—
981C22⋊Q8—138no—
982C22⋊Q8—138no—
983C22⋊Q8C22×D1314yes—
984C22⋊Q8C22×D1318yes—
985C22⋊Q8C22×D1314yes—
986#121—138no—
987#121—138no—
988#121—134no—
989#121—138no—
990#121—138no—
991#121—134no—
992#121—138no—
993#121—134no—
994#121—134no—
995#121—138no—
996#121—138no—
997#121—134no—
998#121—134no—
999#121—138no—
1000#121—138no—
1001#121—138no—
1002#121—138no—
1003#121—138no—
1004#121—138no—
1005#121C22×D1314yes—
1006#121C22×D1318yes—
1007#121C22×D1314yes—
1008#120—134no—
1009#120—134no—
1010#120—138no—
1011#120—138no—
1012#120—138no—
1013#120—138no—
1014#120—134no—
1015#120C22×D1314yes—
1016C4×Q8—134no—
1017C4×Q8—134no—
1018C4×Q8—138no—
1019C4×Q8—134no—
1020C4×Q8—134no—
1021C4×Q8—134no—
1022C4×Q8—134no—
1023C4×Q8—134no—
1024C4×Q8—138no—
1025C4×Q8—134no—
1026C4×Q8—138no—
1027C4×Q8—134no—
1028C4×Q8—138no—
1029C4×Q8—134no—
1030C4×Q8C22×D1314yes—
1031C4×Q8C22×D1314yes—
1032C4×D4—138no—
1033C4×D4—134no—
1034C4×D4—134no—
1035C4×D4—138no—
1036C4×D4—138no—
1037C4×D4—138no—
1038C4×D4—138no—
1039C4×D4—138no—
1040C4×D4—138no—
1041C4×D4—138no—
1042C4×D4—138no—
1043C4×D4—134no—
1044C4×D4—134no—
1045C4×D4—134no—
1046C4×D4—134no—
1047C4×D4—134no—
1048C4×D4—134no—
1049C4×D4—138no—
1050C4×D4—138no—
1051C4×D4—134no—
1052C4×D4—134no—
1053C4×D4—138no—
1054C4×D4—138no—
1055C4×D4—134no—
1056C4×D4—134no—
1057C4×D4—134no—
1058C4×D4—134no—
1059C4×D4—134no—
1060C4×D4—134no—
1061C4×D4—138no—
1062C4×D4—138no—
1063C4×D4—138no—
1064C4×D4—138no—
1065C4×D4—134no—
1066C4×D4—134no—
1067C4×D4—138no—
1068C4×D4C22×D1318yes—
1069C4×D4C22×D1314yes—
1070C4×D4C22×D1314yes—
1071C4×D4C22×D1318yes—
1072#117—132no—
1073#117—134no—
1074#117—134no—
1075#117—138no—
1076#117—134no—
1077#117—138no—
1078#117—138no—
1079#117—134no—
1080#117—134no—
1081#117—138no—
1082#117—138no—
1083#117—138no—
1084#117—138no—
1085#117—134no—
1086#117—134no—
1087#117—134no—
1088#117—134no—
1089#117—134no—
1090#117—132no—
1091#117—132no—
1092#117—134no—
1093#117C22×D1312yes—
1094#117C22×D1314yes—
1095#117C22×D1314yes—
1096#117C22×D1312yes—
1097#117C22×D1312yes—
1098C2×C4⋊C4—132no—
1099C2×C4⋊C4—132no—
1100C2×C4⋊C4—134no—
1101C2×C4⋊C4—138no—
1102C2×C4⋊C4C22×D1312yes—
1103C2×C22⋊C4—132no—
1104C2×C22⋊C4—132no—
1105C2×C22⋊C4—134no—
1106C2×C22⋊C4—138no—
1107C2×C22⋊C4C22×D1312yes—
1108C2×C42—131no—
1109C2×C42—132no—
1110C2×C42—132no—
1111C2×C42—132no—
1112C2×C42—132no—
1113C2×C42—134no—
1114C2×C42—131no—
1115C2×C42—132no—
1116C2×C42—138no—
1117C2×C42—134no—
1118C2×C42—132no—
1119C2×C42—134no—
1120C2×C42—134no—
1121C2×C42—138no—
1122C2×C42—132no—
1123C2×C42—134no—
1124C2×C42—132no—
1125C2×C42—132no—
1126C2×C42—134no—
1127C2×C42—138no—
1128C2×C42—132no—
1129C2×C42—132no—
1130C2×C42C22×D1311yescharacteristic
1131C2×C42C22×D1311yescharacteristic
1132C2×C42C22×D1314yes—
1133C2×C13—22no—
1134C2×C13—44no—
1135C2×C13—42no—
1136C2×C13C23×#4111yescharacteristic
1137C2×C13C2×#58512yes—
1138D13—24no—
1139D13—42no—
1140D13—44no—
1141C24—131no—
1142C24—134no—
1143C24—131no—
1144C24C23×D1311yescharacteristic
1145#41—28no—
1146#41—2616no—
1147#41—2616no—
1148#41—2616no—
1149#41—2616no—
1150#41—268no—
1151#41—268no—
1152#41—268no—
1153#41—528no—
1154#41—5216no—
1155#41—528no—
1156C2×Q8—134no—
1157C2×Q8—134no—
1158C2×Q8—132no—
1159C2×Q8—134no—
1160C2×Q8—138no—
1161C2×Q8—264no—
1162C2×Q8—268no—
1163C2×Q8C23×D1312yes—
1164C2×Q8C23×D1314yes—
1165C2×D4—134no—
1166C2×D4—134no—
1167C2×D4—134no—
1168C2×D4—134no—
1169C2×D4—134no—
1170C2×D4—138no—
1171C2×D4—138no—
1172C2×D4—138no—
1173C2×D4—134no—
1174C2×D4—134no—
1175C2×D4—132no—
1176C2×D4—138no—
1177C2×D4—134no—
1178C2×D4—264no—
1179C2×D4—268no—
1180C2×D4—264no—
1181C2×D4—2616no—
1182C2×D4—264no—
1183C2×D4C23×D1314yes—
1184C2×D4C23×D1312yes—
1185C2×D4C23×D1314yes—
1186C2×D4C23×D1318yes—
1187C22×C4—24no—
1188C22×C4—131no—
1189C22×C4—138no—
1190C22×C4—132no—
1191C22×C4—132no—
1192C22×C4—132no—
1193C22×C4—131no—
1194C22×C4—138no—
1195C22×C4—134no—
1196C22×C4—134no—
1197C22×C4—132no—
1198C22×C4—134no—
1199C22×C4—134no—
1200C22×C4—134no—
1201C22×C4—132no—
1202C22×C4—138no—
1203C22×C4—132no—
1204C22×C4—134no—
1205C22×C4—132no—
1206C22×C4—132no—
1207C22×C4—134no—
1208C22×C4—134no—
1209C22×C4—138no—
1210C22×C4—132no—
1211C22×C4—132no—
1212C22×C4—138no—
1213C22×C4—2616no—
1214C22×C4—264no—
1215C22×C4—524no—
1216C22×C4—5216no—
1217C22×C4—524no—
1218C22×C4—524no—
1219C22×C4C23×D1311yescharacteristic
1220C22×C4C23×D1312yes—
1221C22×C4C23×D1312yes—
1222C22×C4C23×D1314yes—
1223C22×C4C23×D1312yes—
1224C22×C4C23×D1312yes—
1225C22×C4C23×D1318yes—
1226C22×C4C23×D1311yescharacteristic
1227C4⋊C4—134no—
1228C4⋊C4—138no—
1229C4⋊C4—134no—
1230C4⋊C4—134no—
1231C4⋊C4—138no—
1232C4⋊C4—134no—
1233C4⋊C4—134no—
1234C4⋊C4—138no—
1235C4⋊C4—138no—
1236C4⋊C4—138no—
1237C4⋊C4—138no—
1238C4⋊C4—138no—
1239C4⋊C4—138no—
1240C4⋊C4—138no—
1241C4⋊C4—138no—
1242C4⋊C4—134no—
1243C4⋊C4—138no—
1244C4⋊C4—138no—
1245C4⋊C4—134no—
1246C4⋊C4C23×D1314yes—
1247C4⋊C4C23×D1318yes—
1248C4⋊C4C23×D1314yes—
1249C4⋊C4C23×D1314yes—
1250C4⋊C4C23×D1314yes—
1251C4⋊C4C23×D1318yes—
1252C4⋊C4C23×D1318yes—
1253C4⋊C4C23×D1314yes—
1254C22⋊C4—134no—
1255C22⋊C4—138no—
1256C22⋊C4—138no—
1257C22⋊C4—138no—
1258C22⋊C4—138no—
1259C22⋊C4—134no—
1260C22⋊C4—138no—
1261C22⋊C4—134no—
1262C22⋊C4—138no—
1263C22⋊C4—134no—
1264C22⋊C4—134no—
1265C22⋊C4—138no—
1266C22⋊C4—138no—
1267C22⋊C4—138no—
1268C22⋊C4—138no—
1269C22⋊C4—138no—
1270C22⋊C4—138no—
1271C22⋊C4—138no—
1272C22⋊C4C23×D1314yes—
1273C22⋊C4C23×D1318yes—
1274C22⋊C4C23×D1314yes—
1275C22⋊C4C23×D1314yes—
1276C22⋊C4C23×D1318yes—
1277C22⋊C4C23×D1318yes—
1278C22⋊C4C23×D1318yes—
1279C42—134no—
1280C42—132no—
1281C42—134no—
1282C42—132no—
1283C42—138no—
1284C42—138no—
1285C42—132no—
1286C42—134no—
1287C42—138no—
1288C42—132no—
1289C42—134no—
1290C42—132no—
1291C42—132no—
1292C42—138no—
1293C42—131no—
1294C42—131no—
1295C42—132no—
1296C42—134no—
1297C42C23×D1312yes—
1298C42C23×D1311yescharacteristic
1299C42C23×D1311yescharacteristic
1300C42C23×D1318yes—
1301C42C23×D1312yes—
1302C42C23×D1312yes—
1303C42C23×D1314yes—
1304C13#6268611yescharacteristic, complemented, Sylow
1305C23—22no—
1306C23—42no—
1307C23—132no—
1308C23—134no—
1309C23—134no—
1310C23—132no—
1311C23—268no—
1312C23—262no—
1313C23—522no—
1314C23—522no—
1315C23—528no—
1316C23C24×D1314yes—
1317C23C24×D1312yes—
1318C23C24×D1311yescharacteristic
1319Q8—24no—
1320Q8—44no—
1321Q8—268no—
1322Q8—268no—
1323Q8—264no—
1324Q8—524no—
1325Q8—528no—
1326D4—28no—
1327D4—24no—
1328D4—44no—
1329D4—48no—
1330D4—268no—
1331D4—268no—
1332D4—268no—
1333D4—268no—
1334D4—268no—
1335D4—268no—
1336D4—268no—
1337D4—264no—
1338D4—528no—
1339D4—524no—
1340D4—528no—
1341D4—528no—
1342D4—528no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—28no—
1347C2×C4—42no—
1348C2×C4—48no—
1349C2×C4—42no—
1350C2×C4—134no—
1351C2×C4—132no—
1352C2×C4—132no—
1353C2×C4—138no—
1354C2×C4—138no—
1355C2×C4—132no—
1356C2×C4—132no—
1357C2×C4—134no—
1358C2×C4—138no—
1359C2×C4—134no—
1360C2×C4—268no—
1361C2×C4—268no—
1362C2×C4—264no—
1363C2×C4—2616no—
1364C2×C4—264no—
1365C2×C4—268no—
1366C2×C4—268no—
1367C2×C4—264no—
1368C2×C4—2616no—
1369C2×C4—268no—
1370C2×C4—262no—
1371C2×C4—268no—
1372C2×C4—264no—
1373C2×C4—264no—
1374C2×C4—524no—
1375C2×C4—528no—
1376C2×C4—522no—
1377C2×C4—528no—
1378C2×C4—522no—
1379C2×C4—524no—
1380C2×C4—522no—
1381C2×C4#41×D1314yes—
1382C2×C4C24×D1314yes—
1383C2×C4C24×D1312yes—
1384C2×C4C24×D1312yes—
1385C2×C4C24×D1314yes—
1386C2×C4C24×D1318yes—
1387C2×C4C24×D1312yes—
1388C2×C4C24×D1311yescharacteristic
1389C2×C4C24×D1311yescharacteristic
1390C22—22no—
1391C22—22no—
1392C22—24no—
1393C22—28no—
1394C22—24no—
1395C22—44no—
1396C22—134no—
1397C22—264no—
1398C22—264no—
1399C22—262no—
1400C22—262no—
1401C22—268no—
1402C22—262no—
1403C22—524no—
1404C22—524no—
1405C22—5216no—
1406C22C2×#41×D1312yes—
1407C22C25×D1311yescharacteristic
1408C4—22no—
1409C4—24no—
1410C4—24no—
1411C4—22no—
1412C4—28no—
1413C4—22no—
1414C4—134no—
1415C4—134no—
1416C4—264no—
1417C4—262no—
1418C4—262no—
1419C4—268no—
1420C4—264no—
1421C4C2×#41×D1312yes—
1422C4C2×#41×D1312yes—
1423C2—22no—
1424C2—42no—
1425C2—44no—
1426C2—264no—
1427C2—522no—
1428C2—524no—
1429C2C22×#41×D1311yescharacteristic
1430C2D13×#58512yes—
subgroupG/H
centerC2×C4C24×D13
commutator, socle, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC13×#3455C2
hypercenter#3455D13
hypocenterC13#62686
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #13128268C2semidirect
2. #13128266C2semidirect
3. #13128262C2semidirect
4. #13128256C2semidirect
5. #13128255C2semidirect
6. #13128251C2semidirect
7. #13128247C2semidirect
8. #13128244C2semidirect
9. #13128239C2semidirect
10. #13128226C2semidirect
11. #13128221C2semidirect
12. #13128219C2semidirect
13. #13128166C2semidirect
14. #13128163C2semidirect
15. #13128133C2semidirect
16. #13128131C2semidirect
17. #13128130C2semidirect
18. #13128128C2semidirect
19. C2×#11719227C2semidirect
20. C4×#41×D13C2semidirect
21. C13×#3455C2semidirect
24. C13×#542C22semidirect
25. C13×#541C22semidirect
26. C13×#540C22semidirect
27. C13×#539C22semidirect
28. C13×#538C22semidirect
29. C13×#533C22semidirect
31. C13×#529C22semidirect
32. C13×#525C22semidirect
33. C4×C13×#41C22semidirect
34. C2×C13×#117C22semidirect
36. #11719533C22semidirect
37. #41×Dic13C22semidirect
38. #11719496C22semidirect
39. C22×C4×Dic13C22semidirect
40. #11719434C22semidirect
41. #11719433C22semidirect
42. #11719433C22semidirect
43. #11719430C22semidirect
44. #11719429C22semidirect
45. #11719421C22semidirect
46. #11719420C22semidirect
47. #11719415C22semidirect
48. #11719412C22semidirect
49. #11719411C22semidirect
50. #11719411C22semidirect
51. #11719411C22semidirect
52. #11719411C22semidirect
53. #11719409C22semidirect
54. #11719406C22semidirect
55. #11719401C22semidirect
56. #11719397C22semidirect
57. #11719396C22semidirect
58. #11719396C22semidirect
59. #11719394C22semidirect
60. #11719393C22semidirect
61. #11719385C22semidirect
62. #11719385C22semidirect
63. #11719383C22semidirect
64. #11719380C22semidirect
65. #11719379C22semidirect
66. #11719374C22semidirect
67. #11719373C22semidirect
68. #11719368C22semidirect
69. #11719367C22semidirect
70. #11719365C22semidirect
71. #11719362C22semidirect
72. #11719361C22semidirect
73. #11719361C22semidirect
75. #11719354C22semidirect
76. #11719354C22semidirect
77. #11719354C22semidirect
78. #11719353C22semidirect
79. #11719345C22semidirect
80. #11719343C22semidirect
83. #11719333C22semidirect
84. #11719332C22semidirect
85. #11719332C22semidirect
86. #11719329C22semidirect
87. #11719329C22semidirect
88. #11719328C22semidirect
89. #11719327C22semidirect
90. #11719327C22semidirect
91. #11719320C22semidirect
92. #11719318C22semidirect
94. #11719312C22semidirect
95. #11719311C22semidirect
96. #11719311C22semidirect
98. #11719305C22semidirect
99. #11719305C22semidirect
101. #11719301C22semidirect
102. #11719301C22semidirect
103. #11719297C22semidirect
105. #11719291C22semidirect
106. #11719288C22semidirect
107. #11719287C22semidirect
108. #11719285C22semidirect
109. #11719283C22semidirect
110. C4×#6131C22semidirect
111. C4×#6131C22semidirect
112. C4×Q8×D13C22semidirect
113. #11719269C22semidirect
114. #11719267C22semidirect
115. #11719266C22semidirect
116. #11719265C22semidirect
117. #11719262C22semidirect
119. #11719252C22semidirect
120. #11719252C22semidirect
122. C4×D4×D13C22semidirect
123. #11719243C22semidirect
124. C4×#6129C22semidirect
125. C4×#6129C22semidirect
126. C4×#6129C22semidirect
127. C4×#6129C22semidirect
128. #11719240C22semidirect
129. #11719239C22semidirect
130. #11719233C22semidirect
131. #11719233C22semidirect
132. #11719229C22semidirect
133. #11719227C22semidirect
134. #11719227C22semidirect
135. #11719227C22semidirect
136. #11719227C22semidirect
137. #11719227C22semidirect
138. #11719227C22semidirect
140. D13×#117C22semidirect
141. #11719223C22semidirect
142. #11719222C22semidirect
143. #11719220C22semidirect
145. C2×#88141C22semidirect
146. #11719199C22semidirect
148. C2×#88135C22semidirect
149. #11719184C22semidirect
151. C4×#6127C22semidirect
152. C4×#6127C22semidirect
154. C2×#88126C22semidirect
156. C2×C42×D13C22semidirect
157. C2×C42×D13C22semidirect
158. #11719175C22semidirect
490. C2×C4×D13#41semidirect
602. #3455D13semidirect
709. #542C2×D13semidirect
714. #541C2×D13semidirect
719. #540C2×D13semidirect
726. #539C2×D13semidirect
733. #538C2×D13semidirect
756. #533C2×D13semidirect
787. #529C2×D13semidirect
800. #525C2×D13semidirect
816. C4×#41C2×D13semidirect
828. C2×#117C2×D13semidirect
1304. C13#62686semidirect

Maximal subgroups

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

subgroupindex
#131282682
#131282662
#131282622
#131282562
#131282552
#131282512
#131282472
#131282442
#131282392
#131282262
#131282212
#131282192
#131281662
#131281632
#131281332
#131281312
#131281302
#131281282
C2×#117192272
C4×#41×D132
C13×#34552
#6268613