Finite Group Databasebeta

← D13×#3455 #16769764

Subgroups — D13×#3455 #16769764

Order 3328.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128228C211yesmaximal, characteristic, complemented
2#13128227C212yesmaximal, complemented
3#13128226C211yesmaximal, characteristic, complemented
4#13128225C211yesmaximal, characteristic, complemented
5#13128224C212yesmaximal, complemented
6#13128223C214yesmaximal, complemented
7#13128222C214yesmaximal, complemented
8#13128221C212yesmaximal, complemented
9#13128220C212yesmaximal, complemented
10#13128219C218yesmaximal, complemented
11#13128218C214yesmaximal, complemented
12D13×#542C214yesmaximal, complemented
13D13×#541C212yesmaximal, complemented
14D13×#540C212yesmaximal, complemented
15D13×#539C214yesmaximal, complemented
16D13×#538C214yesmaximal, complemented
17D13×#533C211yesmaximal, characteristic, complemented
18D13×#532C211yesmaximal, characteristic, complemented
19D13×#529C218yesmaximal, complemented
20D13×#525C212yesmaximal, complemented
21C4×#41×D13C212yesmaximal, complemented
22C2×D13×#117C211yesmaximal, characteristic, complemented
23C13×#3455C211yesmaximal, characteristic, complemented
24C2×#41×D13C2212yes—
25C23×C4×D13C2211yescharacteristic
26C13×#542C2214yescomplemented
27C13×#541C2212yescomplemented
28C13×#540C2212yescomplemented
29C13×#539C2214yescomplemented
30C13×#538C2214yescomplemented
31C13×#533C2211yescharacteristic, complemented
32C13×#532C2211yescharacteristic, complemented
33C13×#529C2218yescomplemented
34C13×#525C2212yescomplemented
35C4×C13×#41C2212yescomplemented
36C2×C13×#117C2211yescharacteristic, complemented
37#11719537C2212yescomplemented
38#11719533C2212yescomplemented
39#41×Dic13C2212yescomplemented
40#11719496C2212yescomplemented
41C2×#88180C2211yescharacteristic, complemented
42#11719438C2214yescomplemented
43#11719436C2212yescomplemented
44#11719433C2212yescomplemented
45#11719430C2211yescharacteristic, complemented
46D13×C4⋊Q8C2211yescharacteristic, complemented
47D13×C4⋊Q8C2212yescomplemented
48#11719424C2212yescomplemented
49#11719421C2211yescharacteristic, complemented
50D13×#127C2211yescharacteristic, complemented
51#11719415C2218yescomplemented
52#11719412C2218yescomplemented
53#11719411C2218yescomplemented
54#11719411C2218yescomplemented
55#11719409C2218yescomplemented
56D13×#126C2218yes—
57D13×#126C2218yescomplemented
58#11719406C2218yescomplemented
59#11719403C2212yescomplemented
60#11719402C2212yescomplemented
61#11719401C2218yescomplemented
62#11719397C2218yescomplemented
63#11719396C2218yescomplemented
64#11719393C2212yescomplemented
65D13×#125C2218yescomplemented
66D13×#125C2212yescomplemented
67#11719387C2214yescomplemented
68#11719385C2218yescomplemented
69#11719383C2218yescomplemented
70D13×#124C2218yes—
71D13×#124C2212yescomplemented
72#11719374C2218yescomplemented
73#11719373C2212yescomplemented
74#11719370C2218yescomplemented
75#11719368C2218yescomplemented
76#11719367C2218yescomplemented
77#11719365C2218yescomplemented
78#11719362C2218yescomplemented
79#11719361C2214yescomplemented
80D13×#123C2218yes—
81D13×#123C2214yes—
82D13×#123C2218yescomplemented
83#11719354C2218yescomplemented
84#11719354C2218yescomplemented
85#11719350C2214yescomplemented
86#11719349C2214yescomplemented
87#11719348C2214yescomplemented
88#11719345C2218yescomplemented
89#11719343C2218yescomplemented
90#11719332C2214yescomplemented
91D13×C22⋊Q8C2214yes—
92D13×C22⋊Q8C2214yes—
93D13×C22⋊Q8C2218yescomplemented
94#11719330C2214yescomplemented
95#11719329C2218yescomplemented
96#11719327C2214yescomplemented
97#11719324C2214yescomplemented
98#11719322C2214yescomplemented
99#11719320C2218yescomplemented
100#11719318C2218yescomplemented
101#11719311C2214yescomplemented
102D13×#121C2214yes—
103D13×#121C2218yes—
104D13×#121C2214yes—
105#11719308C2214yescomplemented
106#11719307C2214yescomplemented
107#11719305C2218yescomplemented
108#11719301C2214yescomplemented
109#11719298C2218yescomplemented
110D13×#120C2214yes—
111#11719291C2214yescomplemented
112#11719288C2214yescomplemented
113#11719287C2214yescomplemented
114#11719285C2218yescomplemented
115#11719283C2214yescomplemented
116C4×#6131C2214yescomplemented
117C4×Q8×D13C2214yescomplemented
118C4×Q8×D13C2214yescomplemented
119#11719269C2218yescomplemented
120#11719267C2214yescomplemented
121#11719266C2214yescomplemented
122#11719265C2218yescomplemented
123#11719262C2218yescomplemented
124#11719253C2214yescomplemented
125#11719252C2218yescomplemented
126C4×D4×D13C2218yes—
127C4×D4×D13C2218yes—
128C4×D4×D13C2214yescomplemented
129C4×D4×D13C2214yescomplemented
130#11719243C2218yescomplemented
131#11719243C2218yescomplemented
132C4×#6129C2214yescomplemented
133C4×#6129C2218yescomplemented
134#11719240C2212yescomplemented
135#11719239C2214yescomplemented
136#11719233C2218yescomplemented
137#11719233C2218yescomplemented
138#11719229C2212yescomplemented
139#11719227C2214yescomplemented
140#11719227C2212yescomplemented
141D13×#117C2212yes—
142D13×#117C2212yes—
143D13×#117C2214yes—
144D13×#117C2212yes—
145D13×#117C2214yescomplemented
146D13×#117C2212yescomplemented
147D13×#117C2212yescomplemented
148D13×#117C2214yescomplemented
149#11719223C2212yescomplemented
150#11719222C2212yescomplemented
151#11719220C2214yescomplemented
152C2×#88146C2212yescomplemented
153C2×C4⋊C4×D13C2212yes—
154#11719199C2214yescomplemented
155C2×C22⋊C4×D13C2212yes—
156C2×#88131C2212yescomplemented
157#11719184C2218yescomplemented
158#11719182C2211yescharacteristic, complemented
159C4×#6127C2214yescomplemented
160C4×#6127C2212yescomplemented
161C2×#88126C2211yescharacteristic, complemented
162C2×#88126C2211yescharacteristic, complemented
163C2×C42×D13C2211yescharacteristic
164C2×C42×D13C2211yescharacteristic
165C2×C42×D13C2214yescomplemented
166#11719175C2211yescharacteristic, complemented
167C24×D13C2311yescharacteristic
168C2×C13×#41C2312yes—
169C23×C4×C13C2311yescharacteristic
170C23×Dic13C2311yescharacteristic
171#41×D13—216no—
172C2×#6131C2312yes—
173C2×Q8×D13C2312yes—
174C2×Q8×D13C2314yes—
175C2×#6129C2314yes—
176C2×#6129C2312yes—
177C2×D4×D13C2314yes—
178C2×D4×D13C2312yes—
179C2×D4×D13C2318yes—
180C2×D4×D13C2314yes—
181C2×#6127C2312yes—
182C2×#6127C2314yes—
183C22×C4×D13—28no—
184C22×C4×D13C2314yes—
185C22×C4×D13C2311yescharacteristic
186C22×C4×D13C2311yescharacteristic
187C22×C4×D13C2311yescharacteristic
188C22×C4×D13C2312yes—
189C22×C4×D13C2312yes—
190C22×C4×D13C2312yes—
191C22×C4×D13C2312yes—
192C22×C4×D13C2312yes—
193C22×C4×D13C2312yes—
194C22×C4×D13C2318yes—
195C22×C4×D13C2311yescharacteristic
196C13×C4⋊Q8C2311yescharacteristic, complemented
197C13×C4⋊Q8C2312yescomplemented
198C13×#127C2311yescharacteristic, complemented
199C13×#126C2318yes—
200C13×#126C2318yescomplemented
201C13×#125C2318yescomplemented
202C13×#125C2312yescomplemented
203C13×#124C2318yes—
204C13×#124C2312yescomplemented
205C13×#123C2314yes—
206C13×#123C2318yes—
207C13×#123C2318yescomplemented
208C13×C22⋊Q8C2314yes—
209C13×C22⋊Q8C2314yes—
210C13×C22⋊Q8C2318yescomplemented
211C13×#121C2314yes—
212C13×#121C2314yes—
213C13×#121C2318yes—
214C13×#120C2314yes—
215C4×Q8×C13C2314yescomplemented
216C4×Q8×C13C2314yescomplemented
217C4×D4×C13C2318yes—
218C4×D4×C13C2318yes—
219C4×D4×C13C2314yescomplemented
220C4×D4×C13C2314yescomplemented
221C13×#117C2312yes—
222C13×#117C2312yes—
223C13×#117C2314yes—
224C13×#117C2312yes—
225C13×#117C2314yescomplemented
226C2×C13×C4⋊C4C2312yes—
227C2×C13×C22⋊C4C2312yes—
228C2×C42×C13C2311yescharacteristic
229C2×C42×C13C2311yescharacteristic
230C2×C42×C13C2314yescomplemented
231#88207C2314yes—
232C2×C22⋊Dic13C2312yes—
233#88201C2318yes—
234#88201C2312yescomplemented
235#88200C2314yes—
236#88200C2314yes—
237#88200C2318yescomplemented
238Q8×Dic13C2314yescomplemented
239Q8×Dic13C2314yescomplemented
240#88198C2312yescomplemented
241#88198C2314yescomplemented
242#88194C2314yescomplemented
243#88194C2312yescomplemented
244#88193C2318yes—
245#88193C2318yes—
246#88193C2318yes—
247#88193C2318yes—
248#88192C2314yes—
249#88192C2314yes—
250#88192C2318yes—
251#88191C2318yes—
252#88191C2314yes—
253#88190C2318yes—
254#88190C2312yescomplemented
255#88189C2318yes—
256#88189C2314yes—
257#88189C2318yescomplemented
258D4×Dic13C2318yes—
259D4×Dic13C2318yes—
260D4×Dic13C2314yescomplemented
261D4×Dic13C2314yescomplemented
262#88184C2314yes—
263#88184C2318yes—
264#88184C2314yes—
265#88183C2318yes—
266#88183C2314yes—
267#88183C2318yescomplemented
268C4×C22⋊D13C2318yes—
269C4×C22⋊D13C2318yes—
270C4×C22⋊D13C2318yes—
271C4×C22⋊D13C2318yes—
272C4×C22⋊D13C2318yescomplemented
273C4×C22⋊D13C2318yescomplemented
274C2×#6103C2312yes—
275C2×#6103C2312yes—
276#88180C2312yes—
277#88180C2314yes—
278#88180C2312yes—
279#88180C2312yes—
280#88180C2314yescomplemented
281C2×C4⋊Dic13C2312yes—
282#88178C2314yes—
283#88178C2314yes—
284#88178C2318yescomplemented
285C2×#6101C2312yes—
286C2×#6101C2312yes—
287C2×C4×Dic13C2311yescharacteristic
288C2×C4×Dic13C2311yescharacteristic
289C2×C4×Dic13C2312yes—
290C2×C4×Dic13C2312yes—
291C2×C4×Dic13C2314yescomplemented
292C2×C4×Dic13C2318yescomplemented
293#88152C2318yes—
294#88152C2318yes—
295#88152C2318yes—
296#88152C2318yescomplemented
297#88152C2318yescomplemented
298#88152C2318yescomplemented
299#88151C2314yes—
300#88151C2314yes—
301#88151C2318yescomplemented
302#88150C2318yes—
303#88150C2318yes—
304#88150C2318yescomplemented
305#88150C2318yescomplemented
306#88149C2314yes—
307#88149C2314yes—
308#88149C2318yes—
309#88148C2318yes—
310#88148C2318yes—
311#88148C2318yes—
312#88148C2318yescomplemented
313#88148C2318yescomplemented
314#88147C2318yes—
315#88147C2318yes—
316#88147C2314yescomplemented
317#88147C2314yescomplemented
318#88146C2314yes—
319#88146C2314yes—
320#88146C2314yes—
321#88146C2314yes—
322#88146C2314yes—
323#88146C2318yescomplemented
324C4⋊C4×D13C2314yes—
325C4⋊C4×D13C2314yes—
326C4⋊C4×D13C2314yes—
327C4⋊C4×D13C2314yes—
328C4⋊C4×D13C2314yes—
329C4⋊C4×D13C2314yes—
330C4⋊C4×D13C2314yes—
331C4⋊C4×D13C2318yes—
332C4⋊C4×D13C2318yes—
333C4⋊C4×D13C2318yes—
334#88144C2314yescomplemented
335#88144C2318yescomplemented
336#88144C2318yescomplemented
337#88143C2318yescomplemented
338#88143C2318yescomplemented
339#88143C2318yescomplemented
340#88143C2318yescomplemented
341#88143C2318yescomplemented
342#88142C2314yescomplemented
343#88142C2314yescomplemented
344#88142C2314yescomplemented
345#88141C2314yescomplemented
346#88141C2314yescomplemented
347#88141C2318yescomplemented
348#88141C2318yescomplemented
349#88140C2314yes—
350#88140C2318yes—
351#88140C2318yescomplemented
352#88139C2318yes—
353#88139C2318yes—
354#88139C2318yes—
355#88139C2318yes—
356#88139C2318yescomplemented
357#88138C2318yes—
358#88138C2318yes—
359#88138C2318yes—
360#88138C2318yes—
361#88137C2318yes—
362#88137C2318yes—
363#88137C2318yes—
364#88137C2318yescomplemented
365#88137C2318yescomplemented
366#88136C2314yes—
367#88136C2318yes—
368#88135C2318yes—
369#88135C2318yes—
370#88135C2318yes—
371#88135C2318yes—
372#88135C2318yescomplemented
373#88135C2318yescomplemented
374C22⋊C4×D13C2314yes—
375C22⋊C4×D13C2314yes—
376C22⋊C4×D13C2314yes—
377C22⋊C4×D13C2314yes—
378C22⋊C4×D13C2314yes—
379C22⋊C4×D13C2318yes—
380C22⋊C4×D13C2318yes—
381C22⋊C4×D13C2318yes—
382C22⋊C4×D13C2318yes—
383#88133C2318yes—
384#88133C2318yes—
385#88133C2318yes—
386#88133C2318yescomplemented
387#88133C2318yescomplemented
388#88133C2318yescomplemented
389#88132C2318yes—
390#88132C2318yes—
391#88132C2318yescomplemented
392#88132C2318yescomplemented
393#88131C2314yes—
394#88131C2314yes—
395#88131C2314yes—
396#88131C2314yes—
397#88131C2314yes—
398#88131C2318yescomplemented
399#88130C2318yes—
400#88130C2318yescomplemented
401#88129C2318yes—
402#88129C2312yescomplemented
403#88128C2311yescharacteristic, complemented
404C4×D52C2318yes—
405C4×D52C2318yes—
406C4×D52C2314yescomplemented
407C4×D52C2314yescomplemented
408#88126C2312yes—
409#88126C2312yes—
410#88126C2314yes—
411#88126C2314yes—
412#88126C2312yes—
413#88126C2312yes—
414#88126C2314yes—
415#88126C2314yescomplemented
416#88126C2314yescomplemented
417C42×D13C2311yescharacteristic
418C42×D13C2311yescharacteristic
419C42×D13C2311yescharacteristic
420C42×D13C2312yes—
421C42×D13C2311yescharacteristic
422C42×D13C2312yes—
423C42×D13C2312yes—
424C42×D13C2312yes—
425C42×D13C2312yes—
426C42×D13C2312yes—
427C42×D13C2314yes—
428C42×D13C2318yes—
429C42×D13C2314yescomplemented
430C42×D13C2314yescomplemented
431C42×D13C2318yescomplemented
432#88124C2312yescomplemented
433#88124C2318yescomplemented
434#88123C2312yescomplemented
435#88123C2311yescharacteristic, complemented
436C4×Dic26C2314yescomplemented
437C4×Dic26C2314yescomplemented
438C4×Dic26C2318yescomplemented
439C4×Dic26C2318yescomplemented
440C2×#3455—131nomaximal, Sylow
441C24×C13C2411yescharacteristic
442C23×D13—24no—
443C23×D13—44no—
444C23×D13C2412yes—
445C23×D13C2414yes—
446C23×D13C2411yescharacteristic
447C23×D13C2412yes—
448C23×D13C2411yescharacteristic
449C13×#41—28no—
450C2×Q8×C13C2412yes—
451C2×Q8×C13C2414yes—
452C2×D4×C13C2414yes—
453C2×D4×C13C2412yes—
454C2×D4×C13C2418yes—
455C2×D4×C13C2414yes—
456C22×C4×C13—24no—
457C22×C4×C13C2414yes—
458C22×C4×C13C2412yes—
459C22×C4×C13C2411yescharacteristic
460C22×C4×C13C2412yes—
461C22×C4×C13C2412yes—
462C22×C4×C13C2412yes—
463C22×C4×C13C2418yes—
464C22×C4×C13C2411yescharacteristic
465C2×C22⋊D13C2414yes—
466C2×C22⋊D13C2414yes—
467C2×C22⋊D13C2414yes—
468C2×C22⋊D13C2418yes—
469C2×C22⋊D13C2418yes—
470C2×C22⋊D13C2418yes—
471C22×Dic13—24no—
472C22×Dic13C2412yes—
473C22×Dic13C2412yes—
474C22×Dic13C2414yes—
475C22×Dic13C2411yescharacteristic
476C22×Dic13C2412yes—
477C22×Dic13C2418yes—
478C22×Dic13C2412yes—
479C22×Dic13C2411yescharacteristic
480#6131—28no—
481Q8×D13—28no—
482Q8×D13—48no—
483#6129—216no—
484#6129—28no—
485D4×D13—216no—
486D4×D13—28no—
487D4×D13—48no—
488D4×D13—416no—
489#6127—28no—
490#6127—216no—
491C2×D52C2414yes—
492C2×D52C2412yes—
493C2×D52C2418yes—
494C2×D52C2414yes—
495C2×C4×D13—24no—
496C2×C4×D13—24no—
497C2×C4×D13—24no—
498C2×C4×D13—28no—
499C2×C4×D13—28no—
500C2×C4×D13—28no—
501C2×C4×D13—28no—
502C2×C4×D13—216no—
503C2×C4×D13—44no—
504C2×C4×D13—416no—
505C2×C4×D13—44no—
506C2×C4×D13#4118yes—
507C2×C4×D13C2414yes—
508C2×C4×D13C2412yes—
509C2×C4×D13C2414yes—
510C2×C4×D13C2418yes—
511C2×C4×D13C2412yes—
512C2×C4×D13C2414yes—
513C2×C4×D13C2414yes—
514C2×C4×D13C2412yes—
515C2×C4×D13C2412yes—
516C2×C4×D13C2412yes—
517C2×C4×D13C2412yes—
518C2×C4×D13C2412yes—
519C2×C4×D13C2412yes—
520C2×C4×D13C2414yes—
521C2×C4×D13C2412yes—
522C2×C4×D13C2412yes—
523C2×C4×D13C2418yes—
524C2×C4×D13C2418yes—
525C2×C4×D13C2411yescharacteristic
526C2×C4×D13C2411yescharacteristic
527C2×C4×D13C2411yescharacteristic
528C2×C4×D13C2411yescharacteristic
529C2×Dic26C2412yes—
530C2×Dic26C2414yes—
531C2×Dic26C2414yes—
532C2×Dic26C2418yes—
533C13×C4⋊C4C2414yes—
534C13×C4⋊C4C2414yes—
535C13×C4⋊C4C2418yes—
536C13×C4⋊C4C2418yes—
537C13×C4⋊C4C2414yes—
538C13×C4⋊C4C2414yes—
539C13×C4⋊C4C2418yes—
540C13×C4⋊C4C2414yes—
541C13×C22⋊C4C2414yes—
542C13×C22⋊C4C2414yes—
543C13×C22⋊C4C2414yes—
544C13×C22⋊C4C2418yes—
545C13×C22⋊C4C2418yes—
546C13×C22⋊C4C2418yes—
547C13×C22⋊C4C2418yes—
548C42×C13C2412yes—
549C42×C13C2412yes—
550C42×C13C2414yes—
551C42×C13C2418yes—
552C42×C13C2411yescharacteristic
553C42×C13C2411yescharacteristic
554C42×C13C2412yes—
555C22⋊Dic13C2414yes—
556C22⋊Dic13C2414yes—
557C22⋊Dic13C2414yes—
558C22⋊Dic13C2418yes—
559C22⋊Dic13C2418yes—
560C22⋊Dic13C2418yes—
561C22⋊Dic13C2418yes—
562#6103C2414yes—
563#6103C2414yes—
564#6103C2414yes—
565#6103C2414yes—
566#6103C2418yes—
567#6103C2418yes—
568#6103C2418yes—
569#6103C2418yes—
570#6103C2418yes—
571#6103C2418yes—
572#6103C2418yes—
573#6103C2418yes—
574#6103C2418yes—
575C4⋊Dic13C2414yes—
576C4⋊Dic13C2414yes—
577C4⋊Dic13C2418yes—
578C4⋊Dic13C2418yes—
579C4⋊Dic13C2414yes—
580C4⋊Dic13C2418yes—
581C4⋊Dic13C2414yes—
582C4⋊Dic13C2414yes—
583#6101C2418yes—
584#6101C2418yes—
585#6101C2418yes—
586#6101C2418yes—
587#6101C2418yes—
588#6101C2418yes—
589#6101C2414yes—
590#6101C2418yes—
591#6101C2418yes—
592#6101C2414yes—
593#6101C2414yes—
594#6101C2414yes—
595#6101C2418yes—
596C4×Dic13C2412yes—
597C4×Dic13C2414yes—
598C4×Dic13C2414yes—
599C4×Dic13C2418yes—
600C4×Dic13C2412yes—
601C4×Dic13C2414yes—
602C4×Dic13C2412yes—
603C4×Dic13C2411yescharacteristic
604C4×Dic13C2411yescharacteristic
605C4×Dic13C2412yes—
606C4×Dic13C2412yes—
607C4×Dic13C2412yes—
608C4×Dic13C2412yes—
609C4×Dic13C2418yes—
610C4×Dic13C2418yes—
611C4×Dic13C2418yes—
612#3455—134no—
613#3455—132no—
614#3455—132no—
615#3455—134no—
616#3455—134no—
617#3455—131no—
618#3455—131no—
619#3455—138no—
620#3455—132no—
621#3455—132no—
622#3455—131no—
623#3455D1311yescharacteristic, direct product factor
624C2×#542—134no—
625C2×#541—132no—
626C2×#540—132no—
627C2×#539—134no—
628C2×#538—134no—
629C2×#533—131no—
630C2×#532—131no—
631C2×#529—138no—
632C2×#525—132no—
633C2×C4×#41—132no—
634C22×#117—131no—
635C23×C13—22no—
636C23×C13—42no—
637C23×C13C2512yes—
638C23×C13C2514yes—
639C23×C13C2511yescharacteristic
640C22×D13—24no—
641C22×D13—22no—
642C22×D13—24no—
643C22×D13—24no—
644C22×D13—28no—
645C22×D13—216no—
646C22×D13—28no—
647C22×D13—44no—
648C22×D13—42no—
649C22×D13—416no—
650C22×D13C2×#4114yes—
651C22×D13C2512yes—
652C22×D13C2514yes—
653C22×D13C2511yescharacteristic
654C22×D13C2511yescharacteristic
655Q8×C13—24no—
656Q8×C13—44no—
657D4×C13—28no—
658D4×C13—24no—
659D4×C13—48no—
660D4×C13—44no—
661C2×C4×C13—22no—
662C2×C4×C13—24no—
663C2×C4×C13—24no—
664C2×C4×C13—28no—
665C2×C4×C13—42no—
666C2×C4×C13—48no—
667C2×C4×C13—42no—
668C2×C4×C13C2×#4114yes—
669C2×C4×C13C2514yes—
670C2×C4×C13C2512yes—
671C2×C4×C13C2514yes—
672C2×C4×C13C2518yes—
673C2×C4×C13C2512yes—
674C2×C4×C13C2512yes—
675C2×C4×C13C2511yescharacteristic
676C2×C4×C13C2511yescharacteristic
677C22⋊D13—28no—
678C22⋊D13—28no—
679C22⋊D13—28no—
680C22⋊D13—48no—
681C22⋊D13—48no—
682C22⋊D13—48no—
683C2×Dic13—22no—
684C2×Dic13—24no—
685C2×Dic13—24no—
686C2×Dic13—28no—
687C2×Dic13—42no—
688C2×Dic13—48no—
689C2×Dic13—42no—
690C2×Dic13C2×#4114yes—
691C2×Dic13C2514yes—
692C2×Dic13C2512yes—
693C2×Dic13C2514yes—
694C2×Dic13C2518yes—
695C2×Dic13C2512yes—
696C2×Dic13C2512yes—
697C2×Dic13C2511yescharacteristic
698C2×Dic13C2511yescharacteristic
699D52—28no—
700D52—24no—
701D52—48no—
702D52—44no—
703C4×D13—24no—
704C4×D13—24no—
705C4×D13—28no—
706C4×D13—28no—
707C4×D13—24no—
708C4×D13—216no—
709C4×D13—24no—
710C4×D13—24no—
711C4×D13—24no—
712C4×D13—28no—
713C4×D13—24no—
714C4×D13—24no—
715C4×D13—28no—
716C4×D13—42no—
717C4×D13—48no—
718C4×D13—48no—
719C4×D13—44no—
720C4×D13—42no—
721C4×D13C2×#4114yes—
722C4×D13C2×#4114yes—
723C4×D13C2×#4114yes—
724C4×D13C2×#4114yes—
725Dic26—24no—
726Dic26—28no—
727Dic26—48no—
728Dic26—44no—
729C22×#41—132no—
730C24×C4—131no—
731#542—134no—
732#542—138no—
733#542—138no—
734#542—134no—
735#542—138no—
736#542—134no—
737#542—138no—
738#542—134no—
739#542—134no—
740#542—134no—
741#542—134no—
742#542C2×D1314yescomplemented
743#541—132no—
744#541—138no—
745#541—138no—
746#541—132no—
747#541—134no—
748#541—134no—
749#541—132no—
750#541C2×D1312yescomplemented
751#540—132no—
752#540—132no—
753#540—138no—
754#540—138no—
755#540—134no—
756#540—134no—
757#540—132no—
758#540C2×D1312yescomplemented
759#539—138no—
760#539—138no—
761#539—138no—
762#539—138no—
763#539—134no—
764#539—138no—
765#539—134no—
766#539—138no—
767#539—134no—
768#539C2×D1314yescomplemented
769#538—138no—
770#538—138no—
771#538—138no—
772#538—134no—
773#538—138no—
774#538—134no—
775#538—138no—
776#538—138no—
777#538—134no—
778#538C2×D1314yescomplemented
779#533—132no—
780#533—132no—
781#533—134no—
782#533—134no—
783#533—132no—
784#533—131no—
785#533C2×D1311yescharacteristic, complemented
786#532—132no—
787#532—131no—
788#532—131no—
789#532—132no—
790#532—134no—
791#532—134no—
792#532—131no—
793#532C2×D1311yescharacteristic, complemented
794C2×C4⋊Q8—131no—
795C2×C4⋊Q8—132no—
796C2×#127—131no—
797#529—138no—
798#529—138no—
799#529—138no—
800#529—138no—
801#529—138no—
802#529—138no—
803#529—138no—
804#529—138no—
805#529—138no—
806#529—138no—
807#529—138no—
808#529—138no—
809#529—138no—
810#529—138no—
811#529—138no—
812#529C2×D1318yescomplemented
813C2×#126—138no—
814C2×#126—138no—
815C2×#125—138no—
816C2×#125—132no—
817C2×#124—138no—
818C2×#124—132no—
819#525—132no—
820#525—132no—
821#525—134no—
822#525—134no—
823#525—134no—
824#525—134no—
825#525—138no—
826#525—132no—
827#525C2×D1312yescomplemented
828C2×#123—134no—
829C2×#123—138no—
830C2×#123—138no—
831C2×C22⋊Q8—134no—
832C2×C22⋊Q8—134no—
833C2×C22⋊Q8—138no—
834C2×#121—134no—
835C2×#121—138no—
836C2×#121—134no—
837C2×#120—134no—
838C4×#41—132no—
839C4×#41—134no—
840C4×#41—138no—
841C4×#41—134no—
842C4×#41—132no—
843C4×#41—134no—
844C4×#41—132no—
845C4×#41—134no—
846C4×#41C2×D1312yescomplemented
847C2×C4×Q8—134no—
848C2×C4×Q8—134no—
849C2×C4×D4—138no—
850C2×C4×D4—138no—
851C2×C4×D4—134no—
852C2×C4×D4—134no—
853C2×#117—131no—
854C2×#117—134no—
855C2×#117—132no—
856C2×#117—132no—
857C2×#117—132no—
858C2×#117—134no—
859C2×#117—132no—
860C2×#117—132no—
861C2×#117—134no—
862C2×#117—132no—
863C2×#117—132no—
864C2×#117—131no—
865C2×#117—131no—
866C2×#117C2×D1311yescharacteristic, complemented
867C22×C4⋊C4—132no—
868C22×C22⋊C4—132no—
869C22×C42—131no—
870C22×C42—131no—
871C22×C42—134no—
872C22×C13—22no—
873C22×C13—22no—
874C22×C13—24no—
875C22×C13—28no—
876C22×C13—24no—
877C22×C13—44no—
878C22×C13C22×#4112yes—
879C22×C13C2611yescharacteristic
880C2×D13—22no—
881C2×D13—28no—
882C2×D13—22no—
883C2×D13—24no—
884C2×D13—28no—
885C2×D13—24no—
886C2×D13—48no—
887C2×D13—44no—
888C2×D13—416no—
889C2×D13—48no—
890C2×D13C22×#4112yes—
891C2×D13C22×#4112yes—
892C2×D13#58514yes—
893C4×C13—24no—
894C4×C13—22no—
895C4×C13—22no—
896C4×C13—28no—
897C4×C13—24no—
898C4×C13—22no—
899C4×C13C22×#4112yes—
900C4×C13C22×#4112yes—
901Dic13—24no—
902Dic13—22no—
903Dic13—22no—
904Dic13—28no—
905Dic13—24no—
906Dic13—22no—
907Dic13C22×#4112yes—
908Dic13C22×#4112yes—
909C25—131no—
910C2×#41—132no—
911C2×#41—134no—
912C2×#41—132no—
913C2×#41—134no—
914C2×#41—132no—
915C2×#41—2616no—
916C2×#41C22×D1312yes—
917C22×Q8—132no—
918C22×Q8—134no—
919C22×D4—134no—
920C22×D4—132no—
921C22×D4—138no—
922C22×D4—134no—
923C23×C4—131no—
924C23×C4—131no—
925C23×C4—131no—
926C23×C4—132no—
927C23×C4—132no—
928C23×C4—131no—
929C23×C4—132no—
930C23×C4—132no—
931C23×C4—131no—
932C23×C4—134no—
933C23×C4—132no—
934C23×C4—132no—
935C23×C4—138no—
936C23×C4—268no—
937C23×C4C22×D1311yescharacteristic
938C4⋊Q8—132no—
939C4⋊Q8—134no—
940C4⋊Q8—134no—
941C4⋊Q8—134no—
942C4⋊Q8—134no—
943C4⋊Q8—131no—
944C4⋊Q8—132no—
945C4⋊Q8C22×D1311yescharacteristic, complemented
946C4⋊Q8C22×D1312yescomplemented
947#127—134no—
948#127—132no—
949#127—131no—
950#127C22×D1311yescharacteristic, complemented
951#126—138no—
952#126—138no—
953#126—138no—
954#126—138no—
955#126—138no—
956#126—138no—
957#126—138no—
958#126—138no—
959#126—138no—
960#126—138no—
961#126—138no—
962#126—138no—
963#126—138no—
964#126—138no—
965#126C22×D1318yes—
966#126C22×D1318yescomplemented
967#125—138no—
968#125—138no—
969#125—138no—
970#125—138no—
971#125—138no—
972#125—138no—
973#125—138no—
974#125—134no—
975#125—138no—
976#125—132no—
977#125C22×D1318yescomplemented
978#125C22×D1312yescomplemented
979#124—138no—
980#124—132no—
981#124—138no—
982#124—132no—
983#124—138no—
984#124—138no—
985#124—138no—
986#124—138no—
987#124—138no—
988#124—138no—
989#124—132no—
990#124C22×D1318yes—
991#124C22×D1312yescomplemented
992#123—134no—
993#123—138no—
994#123—138no—
995#123—134no—
996#123—138no—
997#123—138no—
998#123—138no—
999#123—138no—
1000#123—138no—
1001#123—138no—
1002#123—138no—
1003#123—138no—
1004#123—134no—
1005#123—138no—
1006#123—138no—
1007#123—138no—
1008#123—138no—
1009#123—138no—
1010#123—138no—
1011#123C22×D1314yes—
1012#123C22×D1318yes—
1013#123C22×D1318yescomplemented
1014C22⋊Q8—134no—
1015C22⋊Q8—138no—
1016C22⋊Q8—134no—
1017C22⋊Q8—134no—
1018C22⋊Q8—138no—
1019C22⋊Q8—134no—
1020C22⋊Q8—138no—
1021C22⋊Q8—134no—
1022C22⋊Q8—138no—
1023C22⋊Q8—138no—
1024C22⋊Q8—138no—
1025C22⋊Q8—138no—
1026C22⋊Q8—134no—
1027C22⋊Q8—138no—
1028C22⋊Q8—138no—
1029C22⋊Q8—138no—
1030C22⋊Q8—138no—
1031C22⋊Q8C22×D1314yes—
1032C22⋊Q8C22×D1314yes—
1033C22⋊Q8C22×D1318yescomplemented
1034#121—134no—
1035#121—138no—
1036#121—138no—
1037#121—138no—
1038#121—138no—
1039#121—134no—
1040#121—138no—
1041#121—134no—
1042#121—138no—
1043#121—134no—
1044#121—134no—
1045#121—138no—
1046#121—134no—
1047#121—138no—
1048#121—138no—
1049#121—138no—
1050#121—138no—
1051#121C22×D1314yes—
1052#121C22×D1318yes—
1053#121C22×D1314yes—
1054#120—134no—
1055#120—134no—
1056#120—138no—
1057#120—138no—
1058#120—134no—
1059#120C22×D1314yes—
1060C4×Q8—134no—
1061C4×Q8—134no—
1062C4×Q8—138no—
1063C4×Q8—134no—
1064C4×Q8—134no—
1065C4×Q8—138no—
1066C4×Q8—138no—
1067C4×Q8—134no—
1068C4×Q8—134no—
1069C4×Q8—138no—
1070C4×Q8C22×D1314yescomplemented
1071C4×Q8C22×D1314yescomplemented
1072C4×D4—138no—
1073C4×D4—134no—
1074C4×D4—138no—
1075C4×D4—134no—
1076C4×D4—138no—
1077C4×D4—138no—
1078C4×D4—138no—
1079C4×D4—138no—
1080C4×D4—138no—
1081C4×D4—138no—
1082C4×D4—138no—
1083C4×D4—134no—
1084C4×D4—138no—
1085C4×D4—134no—
1086C4×D4—138no—
1087C4×D4—138no—
1088C4×D4—138no—
1089C4×D4—138no—
1090C4×D4—138no—
1091C4×D4—138no—
1092C4×D4—138no—
1093C4×D4—134no—
1094C4×D4—138no—
1095C4×D4—134no—
1096C4×D4C22×D1318yes—
1097C4×D4C22×D1318yes—
1098C4×D4C22×D1314yescomplemented
1099C4×D4C22×D1314yescomplemented
1100#117—134no—
1101#117—132no—
1102#117—132no—
1103#117—132no—
1104#117—134no—
1105#117—134no—
1106#117—134no—
1107#117—134no—
1108#117—134no—
1109#117—134no—
1110#117—138no—
1111#117—134no—
1112#117—134no—
1113#117—134no—
1114#117—134no—
1115#117—134no—
1116#117—138no—
1117#117—134no—
1118#117—134no—
1119#117—132no—
1120#117—132no—
1121#117—132no—
1122#117—132no—
1123#117—134no—
1124#117—134no—
1125#117—134no—
1126#117C22×D1314yes—
1127#117C22×D1312yes—
1128#117C22×D1312yes—
1129#117C22×D1312yes—
1130#117C22×D1314yescomplemented
1131C2×C4⋊C4—132no—
1132C2×C4⋊C4—132no—
1133C2×C4⋊C4—132no—
1134C2×C4⋊C4—134no—
1135C2×C4⋊C4—134no—
1136C2×C4⋊C4—134no—
1137C2×C4⋊C4—134no—
1138C2×C4⋊C4—134no—
1139C2×C4⋊C4—138no—
1140C2×C4⋊C4—134no—
1141C2×C4⋊C4—138no—
1142C2×C4⋊C4—138no—
1143C2×C4⋊C4—134no—
1144C2×C4⋊C4C22×D1312yes—
1145C2×C22⋊C4—132no—
1146C2×C22⋊C4—132no—
1147C2×C22⋊C4—132no—
1148C2×C22⋊C4—134no—
1149C2×C22⋊C4—134no—
1150C2×C22⋊C4—134no—
1151C2×C22⋊C4—134no—
1152C2×C22⋊C4—134no—
1153C2×C22⋊C4—138no—
1154C2×C22⋊C4—138no—
1155C2×C22⋊C4—138no—
1156C2×C22⋊C4—138no—
1157C2×C22⋊C4C22×D1312yes—
1158C2×C42—132no—
1159C2×C42—131no—
1160C2×C42—132no—
1161C2×C42—131no—
1162C2×C42—138no—
1163C2×C42—134no—
1164C2×C42—132no—
1165C2×C42—132no—
1166C2×C42—132no—
1167C2×C42—134no—
1168C2×C42—132no—
1169C2×C42—132no—
1170C2×C42—131no—
1171C2×C42—131no—
1172C2×C42—131no—
1173C2×C42—131no—
1174C2×C42—132no—
1175C2×C42—138no—
1176C2×C42—138no—
1177C2×C42—134no—
1178C2×C42—134no—
1179C2×C42C22×D1311yescharacteristic
1180C2×C42C22×D1311yescharacteristic
1181C2×C42C22×D1314yescomplemented
1182C2×C13—22no—
1183C2×C13—42no—
1184C2×C13—44no—
1185C2×C13C23×#4111yescharacteristic
1186C2×C13C2×#58512yes—
1187D13—22no—
1188D13—44no—
1189D13—42no—
1190D13#345514yesdirect product factor
1191C24—131no—
1192C24—132no—
1193C24—134no—
1194C24—132no—
1195C24—131no—
1196C24—264no—
1197C24—524no—
1198C24C23×D1311yescharacteristic
1199#41—28no—
1200#41—2616no—
1201#41—2616no—
1202#41—268no—
1203#41—268no—
1204#41—268no—
1205C2×Q8—134no—
1206C2×Q8—132no—
1207C2×Q8—138no—
1208C2×Q8—134no—
1209C2×Q8—268no—
1210C2×Q8—528no—
1211C2×Q8C23×D1312yes—
1212C2×Q8C23×D1314yes—
1213C2×D4—134no—
1214C2×D4—134no—
1215C2×D4—134no—
1216C2×D4—138no—
1217C2×D4—138no—
1218C2×D4—138no—
1219C2×D4—134no—
1220C2×D4—132no—
1221C2×D4—138no—
1222C2×D4—134no—
1223C2×D4—268no—
1224C2×D4—2616no—
1225C2×D4—528no—
1226C2×D4—5216no—
1227C2×D4C23×D1314yes—
1228C2×D4C23×D1312yes—
1229C2×D4C23×D1318yes—
1230C2×D4C23×D1314yes—
1231C22×C4—24no—
1232C22×C4—131no—
1233C22×C4—138no—
1234C22×C4—131no—
1235C22×C4—131no—
1236C22×C4—131no—
1237C22×C4—131no—
1238C22×C4—134no—
1239C22×C4—131no—
1240C22×C4—132no—
1241C22×C4—132no—
1242C22×C4—132no—
1243C22×C4—132no—
1244C22×C4—138no—
1245C22×C4—134no—
1246C22×C4—132no—
1247C22×C4—134no—
1248C22×C4—138no—
1249C22×C4—132no—
1250C22×C4—134no—
1251C22×C4—132no—
1252C22×C4—132no—
1253C22×C4—132no—
1254C22×C4—132no—
1255C22×C4—132no—
1256C22×C4—134no—
1257C22×C4—132no—
1258C22×C4—134no—
1259C22×C4—132no—
1260C22×C4—132no—
1261C22×C4—138no—
1262C22×C4—138no—
1263C22×C4—264no—
1264C22×C4—268no—
1265C22×C4—268no—
1266C22×C4—268no—
1267C22×C4—268no—
1268C22×C4—2616no—
1269C22×C4—264no—
1270C22×C4—264no—
1271C22×C4—264no—
1272C22×C4—524no—
1273C22×C4—5216no—
1274C22×C4—524no—
1275C22×C4C23×D1311yescharacteristic
1276C22×C4C23×D1312yes—
1277C22×C4C23×D1314yes—
1278C22×C4C23×D1312yes—
1279C22×C4C23×D1312yes—
1280C22×C4C23×D1312yes—
1281C22×C4C23×D1318yes—
1282C22×C4C23×D1311yescharacteristic
1283C4⋊C4—134no—
1284C4⋊C4—134no—
1285C4⋊C4—134no—
1286C4⋊C4—134no—
1287C4⋊C4—134no—
1288C4⋊C4—134no—
1289C4⋊C4—138no—
1290C4⋊C4—134no—
1291C4⋊C4—138no—
1292C4⋊C4—138no—
1293C4⋊C4—138no—
1294C4⋊C4—138no—
1295C4⋊C4—134no—
1296C4⋊C4—138no—
1297C4⋊C4—138no—
1298C4⋊C4—138no—
1299C4⋊C4—138no—
1300C4⋊C4—138no—
1301C4⋊C4—138no—
1302C4⋊C4—138no—
1303C4⋊C4—134no—
1304C4⋊C4C23×D1314yes—
1305C4⋊C4C23×D1314yes—
1306C4⋊C4C23×D1314yes—
1307C4⋊C4C23×D1318yes—
1308C4⋊C4C23×D1318yes—
1309C4⋊C4C23×D1314yes—
1310C4⋊C4C23×D1318yes—
1311C4⋊C4C23×D1314yes—
1312C22⋊C4—134no—
1313C22⋊C4—134no—
1314C22⋊C4—134no—
1315C22⋊C4—138no—
1316C22⋊C4—138no—
1317C22⋊C4—138no—
1318C22⋊C4—138no—
1319C22⋊C4—134no—
1320C22⋊C4—134no—
1321C22⋊C4—134no—
1322C22⋊C4—134no—
1323C22⋊C4—138no—
1324C22⋊C4—138no—
1325C22⋊C4—138no—
1326C22⋊C4—138no—
1327C22⋊C4—138no—
1328C22⋊C4—138no—
1329C22⋊C4—138no—
1330C22⋊C4—138no—
1331C22⋊C4—138no—
1332C22⋊C4C23×D1314yes—
1333C22⋊C4C23×D1314yes—
1334C22⋊C4C23×D1314yes—
1335C22⋊C4C23×D1318yes—
1336C22⋊C4C23×D1318yes—
1337C22⋊C4C23×D1318yes—
1338C22⋊C4C23×D1318yes—
1339C42—134no—
1340C42—132no—
1341C42—138no—
1342C42—132no—
1343C42—134no—
1344C42—132no—
1345C42—132no—
1346C42—131no—
1347C42—132no—
1348C42—131no—
1349C42—138no—
1350C42—138no—
1351C42—138no—
1352C42—132no—
1353C42—132no—
1354C42—134no—
1355C42C23×D1312yes—
1356C42C23×D1311yescharacteristic
1357C42C23×D1311yescharacteristic
1358C42C23×D1318yes—
1359C42C23×D1312yes—
1360C42C23×D1312yes—
1361C42C23×D1314yes—
1362C13C2×#345511yescharacteristic, complemented, Sylow
1363C23—22no—
1364C23—42no—
1365C23—131no—
1366C23—134no—
1367C23—131no—
1368C23—132no—
1369C23—134no—
1370C23—264no—
1371C23—264no—
1372C23—264no—
1373C23—268no—
1374C23—2616no—
1375C23—268no—
1376C23—262no—
1377C23—522no—
1378C23—524no—
1379C23—5216no—
1380C23C24×D1312yes—
1381C23C24×D1314yes—
1382C23C24×D1311yescharacteristic
1383Q8—24no—
1384Q8—44no—
1385Q8—268no—
1386Q8—264no—
1387Q8—528no—
1388Q8—524no—
1389D4—28no—
1390D4—24no—
1391D4—44no—
1392D4—48no—
1393D4—268no—
1394D4—268no—
1395D4—268no—
1396D4—268no—
1397D4—264no—
1398D4—524no—
1399D4—528no—
1400D4—528no—
1401D4—528no—
1402D4—528no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—24no—
1406C2×C4—28no—
1407C2×C4—42no—
1408C2×C4—48no—
1409C2×C4—42no—
1410C2×C4—134no—
1411C2×C4—131no—
1412C2×C4—131no—
1413C2×C4—134no—
1414C2×C4—134no—
1415C2×C4—134no—
1416C2×C4—134no—
1417C2×C4—134no—
1418C2×C4—132no—
1419C2×C4—134no—
1420C2×C4—138no—
1421C2×C4—132no—
1422C2×C4—132no—
1423C2×C4—264no—
1424C2×C4—264no—
1425C2×C4—268no—
1426C2×C4—264no—
1427C2×C4—264no—
1428C2×C4—268no—
1429C2×C4—268no—
1430C2×C4—264no—
1431C2×C4—2616no—
1432C2×C4—264no—
1433C2×C4—264no—
1434C2×C4—264no—
1435C2×C4—268no—
1436C2×C4—262no—
1437C2×C4—264no—
1438C2×C4—264no—
1439C2×C4—268no—
1440C2×C4—524no—
1441C2×C4—528no—
1442C2×C4—522no—
1443C2×C4—528no—
1444C2×C4—522no—
1445C2×C4—522no—
1446C2×C4—528no—
1447C2×C4—522no—
1448C2×C4#41×D1314yes—
1449C2×C4C24×D1314yes—
1450C2×C4C24×D1312yes—
1451C2×C4C24×D1314yes—
1452C2×C4C24×D1318yes—
1453C2×C4C24×D1312yes—
1454C2×C4C24×D1312yes—
1455C2×C4C24×D1311yescharacteristic
1456C2×C4C24×D1311yescharacteristic
1457C22—22no—
1458C22—22no—
1459C22—24no—
1460C22—28no—
1461C22—24no—
1462C22—44no—
1463C22—132no—
1464C22—134no—
1465C22—132no—
1466C22—268no—
1467C22—262no—
1468C22—262no—
1469C22—264no—
1470C22—268no—
1471C22—264no—
1472C22—524no—
1473C22—5216no—
1474C22—528no—
1475C22—528no—
1476C22C2×#41×D1312yes—
1477C22C25×D1311yescharacteristic
1478C4—22no—
1479C4—24no—
1480C4—24no—
1481C4—22no—
1482C4—28no—
1483C4—22no—
1484C4—132no—
1485C4—132no—
1486C4—262no—
1487C4—264no—
1488C4—264no—
1489C4—262no—
1490C4—268no—
1491C4—262no—
1492C4C2×#41×D1312yes—
1493C4C2×#41×D1312yes—
1494C2—22no—
1495C2—42no—
1496C2—44no—
1497C2—134no—
1498C2—262no—
1499C2—522no—
1500C2—524no—
1501C2C22×#41×D1311yescharacteristic
1502C2D13×#58512yes—
subgroupG/H
centerC2×C4C24×D13
commutator, socle, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC13×#3455C2
hypercenter#3455D13
hypocenterC13C2×#3455
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #13128228C2semidirect
2. #13128227C2semidirect
3. #13128226C2semidirect
4. #13128225C2semidirect
5. #13128224C2semidirect
6. #13128223C2semidirect
7. #13128222C2semidirect
8. #13128221C2semidirect
9. #13128220C2semidirect
10. #13128219C2semidirect
11. #13128218C2semidirect
12. D13×#542C2semidirect
13. D13×#541C2semidirect
14. D13×#540C2semidirect
15. D13×#539C2semidirect
16. D13×#538C2semidirect
17. D13×#533C2semidirect
18. D13×#532C2semidirect
19. D13×#529C2semidirect
20. D13×#525C2semidirect
21. C4×#41×D13C2semidirect
22. C2×D13×#117C2semidirect
23. C13×#3455C2semidirect
26. C13×#542C22semidirect
27. C13×#541C22semidirect
28. C13×#540C22semidirect
29. C13×#539C22semidirect
30. C13×#538C22semidirect
31. C13×#533C22semidirect
32. C13×#532C22semidirect
33. C13×#529C22semidirect
34. C13×#525C22semidirect
35. C4×C13×#41C22semidirect
36. C2×C13×#117C22semidirect
37. #11719537C22semidirect
38. #11719533C22semidirect
39. #41×Dic13C22semidirect
40. #11719496C22semidirect
41. C2×#88180C22semidirect
42. #11719438C22semidirect
43. #11719436C22semidirect
44. #11719433C22semidirect
45. #11719430C22semidirect
46. D13×C4⋊Q8C22semidirect
47. D13×C4⋊Q8C22semidirect
48. #11719424C22semidirect
49. #11719421C22semidirect
50. D13×#127C22semidirect
51. #11719415C22semidirect
52. #11719412C22semidirect
53. #11719411C22semidirect
54. #11719411C22semidirect
55. #11719409C22semidirect
57. D13×#126C22semidirect
58. #11719406C22semidirect
59. #11719403C22semidirect
60. #11719402C22semidirect
61. #11719401C22semidirect
62. #11719397C22semidirect
63. #11719396C22semidirect
64. #11719393C22semidirect
65. D13×#125C22semidirect
66. D13×#125C22semidirect
67. #11719387C22semidirect
68. #11719385C22semidirect
69. #11719383C22semidirect
71. D13×#124C22semidirect
72. #11719374C22semidirect
73. #11719373C22semidirect
74. #11719370C22semidirect
75. #11719368C22semidirect
76. #11719367C22semidirect
77. #11719365C22semidirect
78. #11719362C22semidirect
79. #11719361C22semidirect
82. D13×#123C22semidirect
83. #11719354C22semidirect
84. #11719354C22semidirect
85. #11719350C22semidirect
86. #11719349C22semidirect
87. #11719348C22semidirect
88. #11719345C22semidirect
89. #11719343C22semidirect
90. #11719332C22semidirect
93. D13×C22⋊Q8C22semidirect
94. #11719330C22semidirect
95. #11719329C22semidirect
96. #11719327C22semidirect
97. #11719324C22semidirect
98. #11719322C22semidirect
99. #11719320C22semidirect
100. #11719318C22semidirect
101. #11719311C22semidirect
105. #11719308C22semidirect
106. #11719307C22semidirect
107. #11719305C22semidirect
108. #11719301C22semidirect
109. #11719298C22semidirect
111. #11719291C22semidirect
112. #11719288C22semidirect
113. #11719287C22semidirect
114. #11719285C22semidirect
115. #11719283C22semidirect
116. C4×#6131C22semidirect
117. C4×Q8×D13C22semidirect
118. C4×Q8×D13C22semidirect
119. #11719269C22semidirect
120. #11719267C22semidirect
121. #11719266C22semidirect
122. #11719265C22semidirect
123. #11719262C22semidirect
124. #11719253C22semidirect
125. #11719252C22semidirect
128. C4×D4×D13C22semidirect
129. C4×D4×D13C22semidirect
130. #11719243C22semidirect
131. #11719243C22semidirect
132. C4×#6129C22semidirect
133. C4×#6129C22semidirect
134. #11719240C22semidirect
135. #11719239C22semidirect
136. #11719233C22semidirect
137. #11719233C22semidirect
138. #11719229C22semidirect
139. #11719227C22semidirect
140. #11719227C22semidirect
145. D13×#117C22semidirect
146. D13×#117C22semidirect
147. D13×#117C22semidirect
148. D13×#117C22semidirect
149. #11719223C22semidirect
150. #11719222C22semidirect
151. #11719220C22semidirect
152. C2×#88146C22semidirect
154. #11719199C22semidirect
156. C2×#88131C22semidirect
157. #11719184C22semidirect
158. #11719182C22semidirect
159. C4×#6127C22semidirect
160. C4×#6127C22semidirect
161. C2×#88126C22semidirect
162. C2×#88126C22semidirect
165. C2×C42×D13C22semidirect
166. #11719175C22semidirect
196. C13×C4⋊Q8C23semidirect
197. C13×C4⋊Q8C23semidirect
198. C13×#127C23semidirect
200. C13×#126C23semidirect
201. C13×#125C23semidirect
202. C13×#125C23semidirect
204. C13×#124C23semidirect
207. C13×#123C23semidirect
210. C13×C22⋊Q8C23semidirect
215. C4×Q8×C13C23semidirect
216. C4×Q8×C13C23semidirect
219. C4×D4×C13C23semidirect
220. C4×D4×C13C23semidirect
225. C13×#117C23semidirect
230. C2×C42×C13C23semidirect
234. #88201C23semidirect
237. #88200C23semidirect
238. Q8×Dic13C23semidirect
239. Q8×Dic13C23semidirect
240. #88198C23semidirect
241. #88198C23semidirect
242. #88194C23semidirect
243. #88194C23semidirect
254. #88190C23semidirect
257. #88189C23semidirect
260. D4×Dic13C23semidirect
261. D4×Dic13C23semidirect
267. #88183C23semidirect
272. C4×C22⋊D13C23semidirect
273. C4×C22⋊D13C23semidirect
280. #88180C23semidirect
284. #88178C23semidirect
291. C2×C4×Dic13C23semidirect
292. C2×C4×Dic13C23semidirect
296. #88152C23semidirect
297. #88152C23semidirect
298. #88152C23semidirect
301. #88151C23semidirect
304. #88150C23semidirect
305. #88150C23semidirect
312. #88148C23semidirect
313. #88148C23semidirect
316. #88147C23semidirect
317. #88147C23semidirect
323. #88146C23semidirect
334. #88144C23semidirect
335. #88144C23semidirect
336. #88144C23semidirect
337. #88143C23semidirect
338. #88143C23semidirect
339. #88143C23semidirect
340. #88143C23semidirect
341. #88143C23semidirect
342. #88142C23semidirect
343. #88142C23semidirect
344. #88142C23semidirect
345. #88141C23semidirect
346. #88141C23semidirect
347. #88141C23semidirect
348. #88141C23semidirect
351. #88140C23semidirect
356. #88139C23semidirect
364. #88137C23semidirect
365. #88137C23semidirect
372. #88135C23semidirect
373. #88135C23semidirect
386. #88133C23semidirect
387. #88133C23semidirect
388. #88133C23semidirect
391. #88132C23semidirect
392. #88132C23semidirect
398. #88131C23semidirect
400. #88130C23semidirect
402. #88129C23semidirect
403. #88128C23semidirect
406. C4×D52C23semidirect
407. C4×D52C23semidirect
415. #88126C23semidirect
416. #88126C23semidirect
429. C42×D13C23semidirect
430. C42×D13C23semidirect
431. C42×D13C23semidirect
432. #88124C23semidirect
433. #88124C23semidirect
434. #88123C23semidirect
435. #88123C23semidirect
436. C4×Dic26C23semidirect
437. C4×Dic26C23semidirect
438. C4×Dic26C23semidirect
439. C4×Dic26C23semidirect
623. #3455D13direct (N × H)
742. #542C2×D13semidirect
750. #541C2×D13semidirect
758. #540C2×D13semidirect
768. #539C2×D13semidirect
778. #538C2×D13semidirect
785. #533C2×D13semidirect
793. #532C2×D13semidirect
812. #529C2×D13semidirect
827. #525C2×D13semidirect
846. C4×#41C2×D13semidirect
866. C2×#117C2×D13semidirect
945. C4⋊Q8C22×D13semidirect
946. C4⋊Q8C22×D13semidirect
950. #127C22×D13semidirect
966. #126C22×D13semidirect
977. #125C22×D13semidirect
978. #125C22×D13semidirect
991. #124C22×D13semidirect
1013. #123C22×D13semidirect
1033. C22⋊Q8C22×D13semidirect
1070. C4×Q8C22×D13semidirect
1071. C4×Q8C22×D13semidirect
1098. C4×D4C22×D13semidirect
1099. C4×D4C22×D13semidirect
1130. #117C22×D13semidirect
1181. C2×C42C22×D13semidirect
1190. D13#3455direct (N × H)
1362. C13C2×#3455semidirect

Maximal subgroups

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

subgroupindex
#131282282
#131282272
#131282262
#131282252
#131282242
#131282232
#131282222
#131282212
#131282202
#131282192
#131282182
D13×#5422
D13×#5412
D13×#5402
D13×#5392
D13×#5382
D13×#5332
D13×#5322
D13×#5292
D13×#5252
C4×#41×D132
C2×D13×#1172
C13×#34552
C2×#345513