Finite Group Databasebeta

← D13×#3461 #16769738

Subgroups — D13×#3461 #16769738

Order 3328.

7130 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13128270C211yesmaximal, characteristic, complemented
2#13128269C211yesmaximal, characteristic, complemented
3#13128268C214yesmaximal, complemented
4#13128267C214yesmaximal, complemented
5#13128266C214yesmaximal, complemented
6#13128265C214yesmaximal, complemented
7#13128264C211yesmaximal, characteristic, complemented
8#13128263C212yesmaximal, complemented
9#13128262C214yesmaximal, complemented
10#13128261C214yesmaximal, complemented
11#13128260C212yesmaximal, complemented
12D13×#544C211yesmaximal, characteristic, complemented
13D13×#542C214yesmaximal, complemented
14D13×#541C214yesmaximal, complemented
15D13×#539C214yesmaximal, complemented
16D13×#537C211yesmaximal, characteristic
17D13×#536C212yesmaximal, complemented
18D13×#533C214yesmaximal, complemented
19D13×#529C214yesmaximal, complemented
20D13×#529C214yesmaximal, complemented
21C4×#41×D13C212yesmaximal, complemented
22C2×C4×Q8×D13C211yesmaximal, characteristic, complemented
23C13×#3461C211yesmaximal, characteristic, complemented
24C2×#41×D13C2212yes—
25C22×Q8×D13C2211yescharacteristic
26C13×#544C2211yescharacteristic, complemented
27C13×#542C2214yescomplemented
28C13×#541C2214yescomplemented
29C13×#539C2214yescomplemented
30C13×#537C2211yescharacteristic
31C13×#536C2212yescomplemented
32C13×#533C2214yescomplemented
33C13×#529C2214yescomplemented
34C13×#529C2214yescomplemented
35C4×C13×#41C2212yescomplemented
36C2×C4×Q8×C13C2211yescharacteristic, complemented
37#11719538C2212yes—
38#41×Dic13C2212yescomplemented
39#11719530C2212yescomplemented
40#11719521C2212yescomplemented
41C2×Q8×Dic13C2211yescharacteristic, complemented
42#11719438C2214yescomplemented
43#11719436C2214yescomplemented
44#11719434C2214yescomplemented
45#11719433C2214yescomplemented
46#11719433C2214yescomplemented
47#11719429C2214yescomplemented
48D13×C4⋊Q8C2214yes—
49D13×C4⋊Q8C2214yes—
50#11719415C2218yescomplemented
51#11719412C2218yescomplemented
52#11719411C2218yescomplemented
53#11719411C2218yescomplemented
54D13×#126C2218yes—
55D13×#126C2218yes—
56#11719406C2218yescomplemented
57#11719406C2218yescomplemented
58#11719402C2214yescomplemented
59#11719401C2218yescomplemented
60#11719401C2218yescomplemented
61#11719397C2218yescomplemented
62#11719396C2214yescomplemented
63#11719396C2214yescomplemented
64#11719394C2214yescomplemented
65#11719393C2218yescomplemented
66D13×#125C2214yes—
67D13×#125C2214yes—
68D13×#125C2218yes—
69#11719387C2214yescomplemented
70#11719385C2214yescomplemented
71#11719385C2214yescomplemented
72#11719380C2214yescomplemented
73D13×#124C2214yes—
74D13×#124C2214yes—
75#11719374C2218yescomplemented
76#11719370C2218yescomplemented
77#11719367C2218yescomplemented
78#11719365C2218yescomplemented
79D13×#123C2218yes—
80D13×#123C2218yes—
81#11719354C2218yescomplemented
82#11719354C2218yescomplemented
83#11719353C2218yescomplemented
84#11719350C2214yescomplemented
85#11719348C2214yescomplemented
86#11719345C2218yescomplemented
87#11719343C2218yescomplemented
88#11719334C2214yes—
89#11719333C2214yescomplemented
90#11719333C2214yescomplemented
91D13×C22⋊Q8C2214yes—
92D13×C22⋊Q8C2214yes—
93D13×C22⋊Q8C2214yes—
94D13×C22⋊Q8C2218yes—
95D13×C22⋊Q8C2214yes—
96#11719330C2214yescomplemented
97#11719330C2214yescomplemented
98#11719329C2214yescomplemented
99#11719329C2214yescomplemented
100#11719328C2214yescomplemented
101#11719327C2214yescomplemented
102#11719327C2218yescomplemented
103#11719327C2214yescomplemented
104#11719313C2214yes—
105D13×#121C2214yes—
106D13×#121C2214yes—
107#11719308C2214yescomplemented
108#11719307C2214yescomplemented
109#11719305C2214yescomplemented
110#11719305C2214yescomplemented
111#11719302C2214yes—
112#11719288C2214yescomplemented
113#11719288C2214yescomplemented
114#11719287C2214yescomplemented
115#11719285C2214yescomplemented
116#11719285C2214yescomplemented
117#11719283C2214yescomplemented
118#11719283C2214yescomplemented
119#11719283C2218yescomplemented
120C4×#6131C2212yescomplemented
121C4×#6131C2212yescomplemented
122C4×Q8×D13C2212yes—
123C4×Q8×D13C2214yes—
124C4×Q8×D13C2214yes—
125C4×Q8×D13C2212yes—
126C4×Q8×D13C2214yes—
127C4×Q8×D13C2214yescomplemented
128C4×Q8×D13C2214yescomplemented
129#11719269C2218yescomplemented
130#11719266C2214yescomplemented
131#11719262C2214yescomplemented
132#11719262C2214yescomplemented
133C4×D4×D13C2212yes—
134C4×D4×D13C2212yes—
135C4×D4×D13C2214yes—
136C4×D4×D13C2214yes—
137C4×D4×D13C2214yes—
138#11719243C2218yescomplemented
139#11719243C2218yescomplemented
140C4×#6129C2212yescomplemented
141C4×#6129C2212yescomplemented
142C4×#6129C2214yescomplemented
143C4×#6129C2214yescomplemented
144#11719239C2214yescomplemented
145#11719233C2218yescomplemented
146#11719233C2218yescomplemented
147#11719231C2212yescomplemented
148#11719227C2212yescomplemented
149#11719227C2214yescomplemented
150D13×#117C2214yes—
151D13×#117C2212yes—
152D13×#117C2218yes—
153#11719224C2212yescomplemented
154#11719223C2214yescomplemented
155#11719222C2218yescomplemented
156#11719220C2214yescomplemented
157#11719215C2211yescharacteristic
158C2×C4⋊C4×D13C2211yescharacteristic
159C2×C4⋊C4×D13C2212yes—
160#11719205C2211yescharacteristic, complemented
161C2×#88141C2211yescharacteristic, complemented
162C2×#88141C2212yescomplemented
163#11719184C2214yescomplemented
164#11719184C2214yescomplemented
165C4×#6127C2214yescomplemented
166C4×#6127C2212yescomplemented
167C2×C42×D13C2211yescharacteristic
168C2×C42×D13C2212yes—
169C2×C42×D13C2214yes—
170#11719175C2214yescomplemented
171C2×C4×Dic26C2211yescharacteristic, complemented
172C2×C4×Dic26C2212yescomplemented
173C2×C13×#41C2312yes—
174C22×Q8×C13C2311yescharacteristic
175#41×D13—216no—
176C2×#6131C2312yes—
177C2×Q8×D13—28no—
178C2×Q8×D13C2312yes—
179C2×Q8×D13C2314yes—
180C2×Q8×D13C2314yes—
181C2×Q8×D13C2314yes—
182C2×#6129C2314yes—
183C2×#6129C2312yes—
184C2×D4×D13C2314yes—
185C2×D4×D13C2312yes—
186C2×D4×D13C2314yes—
187C2×#6127C2312yes—
188C2×#6127C2314yes—
189C22×C4×D13C2311yescharacteristic
190C22×C4×D13C2312yes—
191C22×C4×D13C2314yes—
192C22×C4×D13C2314yes—
193C22×C4×D13C2311yescharacteristic
194C22×C4×D13C2312yes—
195C22×C4×D13C2314yes—
196C22×C4×D13C2311yescharacteristic
197C22×Dic26C2311yescharacteristic
198C22×Dic26C2312yes—
199C13×C4⋊Q8C2314yes—
200C13×C4⋊Q8C2314yes—
201C13×#126C2318yes—
202C13×#126C2318yes—
203C13×#125C2314yes—
204C13×#125C2314yes—
205C13×#125C2318yes—
206C13×#124C2314yes—
207C13×#124C2314yes—
208C13×#123C2318yes—
209C13×#123C2318yes—
210C13×C22⋊Q8C2314yes—
211C13×C22⋊Q8C2314yes—
212C13×C22⋊Q8C2314yes—
213C13×C22⋊Q8C2314yes—
214C13×C22⋊Q8C2318yes—
215C13×#121C2314yes—
216C13×#121C2314yes—
217C4×Q8×C13C2314yes—
218C4×Q8×C13C2314yes—
219C4×Q8×C13C2312yes—
220C4×Q8×C13C2312yes—
221C4×Q8×C13C2314yes—
222C4×D4×C13C2314yes—
223C4×D4×C13C2312yes—
224C4×D4×C13C2312yes—
225C4×D4×C13C2314yes—
226C4×D4×C13C2314yes—
227C13×#117C2318yes—
228C13×#117C2314yes—
229C13×#117C2312yes—
230C2×C13×C4⋊C4C2311yescharacteristic
231C2×C13×C4⋊C4C2312yes—
232C2×C42×C13C2311yescharacteristic
233C2×C42×C13C2312yes—
234C2×C42×C13C2314yes—
235#88201C2314yes—
236#88201C2314yes—
237#88200C2314yes—
238#88200C2318yes—
239#88200C2314yes—
240#88200C2314yes—
241#88200C2314yes—
242Q8×Dic13C2312yes—
243Q8×Dic13C2314yes—
244Q8×Dic13C2314yes—
245Q8×Dic13C2312yes—
246Q8×Dic13C2314yes—
247#88198C2314yes—
248#88198C2318yes—
249#88198C2314yes—
250#88193C2318yes—
251#88193C2318yes—
252#88192C2314yes—
253#88192C2314yes—
254#88190C2314yes—
255#88190C2314yes—
256#88189C2318yes—
257#88189C2318yes—
258D4×Dic13C2314yes—
259D4×Dic13C2312yes—
260D4×Dic13C2314yes—
261D4×Dic13C2312yes—
262D4×Dic13C2314yes—
263#88184C2314yes—
264#88184C2314yes—
265#88183C2318yes—
266#88183C2318yes—
267C4×C22⋊D13C2314yes—
268C4×C22⋊D13C2314yes—
269C4×C22⋊D13C2314yes—
270C4×C22⋊D13C2314yes—
271C4×C22⋊D13C2314yes—
272C4×C22⋊D13C2314yes—
273C4×C22⋊D13C2318yes—
274#88180C2318yes—
275#88180C2312yes—
276#88180C2314yes—
277C2×C4⋊Dic13C2311yescharacteristic
278C2×C4⋊Dic13C2312yes—
279#88178C2314yes—
280#88178C2314yes—
281#88178C2318yes—
282#88178C2314yes—
283#88178C2314yes—
284C2×#6101C2312yes—
285C2×#6101C2312yes—
286C2×#6101C2312yes—
287C2×C4×Dic13C2311yescharacteristic
288C2×C4×Dic13C2312yes—
289C2×C4×Dic13C2311yescharacteristic
290C2×C4×Dic13C2312yes—
291C2×C4×Dic13C2311yescharacteristic
292C2×C4×Dic13C2312yes—
293C2×C4×Dic13C2314yes—
294C2×C4×Dic13C2314yes—
295C2×C4×Dic13C2314yes—
296#88152C2318yes—
297#88152C2318yes—
298#88152C2318yes—
299#88152C2318yes—
300#88152C2318yes—
301#88152C2318yes—
302#88151C2314yes—
303#88151C2314yes—
304#88151C2318yes—
305#88151C2314yes—
306#88151C2314yes—
307#88150C2318yes—
308#88150C2318yes—
309#88150C2318yes—
310#88150C2318yes—
311#88150C2318yes—
312#88150C2318yes—
313#88149C2314yes—
314#88149C2314yes—
315#88148C2318yes—
316#88148C2318yes—
317#88148C2318yes—
318#88148C2318yes—
319#88147C2312yes—
320#88147C2312yes—
321#88147C2314yes—
322#88147C2314yes—
323#88147C2314yes—
324#88146C2318yes—
325#88146C2318yes—
326#88146C2312yes—
327#88146C2312yes—
328#88146C2314yes—
329#88146C2314yes—
330C4⋊C4×D13C2312yes—
331C4⋊C4×D13C2314yes—
332C4⋊C4×D13C2318yes—
333C4⋊C4×D13C2318yes—
334C4⋊C4×D13C2318yes—
335C4⋊C4×D13C2314yes—
336C4⋊C4×D13C2318yes—
337C4⋊C4×D13C2318yes—
338C4⋊C4×D13C2314yes—
339C4⋊C4×D13C2312yes—
340C4⋊C4×D13C2314yes—
341C4⋊C4×D13C2314yes—
342C4⋊C4×D13C2314yes—
343#88144C2318yes—
344#88144C2318yes—
345#88144C2314yes—
346#88144C2314yes—
347#88144C2314yes—
348#88144C2314yes—
349#88143C2318yes—
350#88143C2318yes—
351#88143C2318yes—
352#88143C2318yes—
353#88143C2318yes—
354#88143C2318yes—
355#88143C2318yes—
356#88143C2318yes—
357#88142C2314yes—
358#88142C2314yes—
359#88142C2318yes—
360#88142C2318yes—
361#88142C2318yes—
362#88141C2312yes—
363#88141C2314yes—
364#88141C2318yes—
365#88141C2314yes—
366#88141C2318yes—
367#88141C2318yes—
368#88141C2314yes—
369#88141C2312yes—
370#88141C2314yes—
371#88141C2314yes—
372#88140C2318yes—
373#88140C2318yes—
374#88139C2318yes—
375#88139C2318yes—
376#88139C2318yes—
377#88139C2318yes—
378#88138C2318yes—
379#88138C2318yes—
380#88137C2318yes—
381#88137C2318yes—
382#88137C2318yes—
383#88137C2318yes—
384#88135C2314yes—
385#88135C2314yes—
386#88135C2314yes—
387#88135C2314yes—
388#88135C2314yes—
389#88135C2314yes—
390#88135C2318yes—
391C22⋊C4×D13C2314yes—
392C22⋊C4×D13C2314yes—
393C22⋊C4×D13C2314yes—
394C22⋊C4×D13C2318yes—
395C22⋊C4×D13C2318yes—
396C22⋊C4×D13C2318yes—
397#88133C2318yes—
398#88133C2318yes—
399#88133C2318yes—
400#88133C2318yes—
401#88133C2318yes—
402#88133C2318yes—
403#88132C2318yes—
404#88132C2318yes—
405#88132C2318yes—
406#88132C2318yes—
407#88132C2318yes—
408#88132C2318yes—
409#88131C2314yes—
410#88131C2314yes—
411#88131C2314yes—
412#88131C2318yes—
413#88131C2318yes—
414#88130C2318yes—
415#88130C2318yes—
416#88129C2314yes—
417#88129C2314yes—
418C4×D52C2312yes—
419C4×D52C2314yes—
420C4×D52C2312yes—
421C4×D52C2314yes—
422C4×D52C2314yes—
423#88126C2314yes—
424#88126C2314yes—
425#88126C2314yes—
426#88126C2318yes—
427#88126C2318yes—
428C42×D13C2314yes—
429C42×D13C2312yes—
430C42×D13C2314yes—
431C42×D13C2312yes—
432C42×D13C2314yes—
433C42×D13C2314yes—
434C42×D13C2314yes—
435C42×D13C2312yes—
436C42×D13C2312yes—
437C42×D13C2314yes—
438C42×D13C2314yes—
439C42×D13C2314yes—
440C42×D13C2314yes—
441C42×D13C2314yes—
442C42×D13C2314yes—
443#88124C2318yes—
444#88124C2314yes—
445#88124C2314yes—
446#88123C2314yes—
447#88123C2314yes—
448C4×Dic26C2314yes—
449C4×Dic26C2318yes—
450C4×Dic26C2314yes—
451C4×Dic26C2318yes—
452C4×Dic26C2312yes—
453C4×Dic26C2318yes—
454C4×Dic26C2314yes—
455C4×Dic26C2312yes—
456C4×Dic26C2314yes—
457C4×Dic26C2314yes—
458C2×#3461—131nomaximal, Sylow
459C23×D13C2414yes—
460C23×D13C2411yescharacteristic
461C13×#41—28no—
462C2×Q8×C13—24no—
463C2×Q8×C13C2412yes—
464C2×Q8×C13C2414yes—
465C2×Q8×C13C2414yes—
466C2×D4×C13C2414yes—
467C2×D4×C13C2412yes—
468C2×D4×C13C2414yes—
469C22×C4×C13C2411yescharacteristic
470C22×C4×C13C2414yes—
471C22×C4×C13C2412yes—
472C22×C4×C13C2414yes—
473C22×C4×C13C2412yes—
474C22×C4×C13C2411yescharacteristic
475C22×C4×C13C2414yes—
476C22×C4×C13C2411yescharacteristic
477C2×C22⋊D13C2414yes—
478C2×C22⋊D13C2414yes—
479C2×C22⋊D13C2414yes—
480C2×C22⋊D13C2418yes—
481C22×Dic13C2414yes—
482C22×Dic13C2414yes—
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2412yes—
485C22×Dic13C2414yes—
486C22×Dic13C2412yes—
487C22×Dic13C2411yescharacteristic
488C22×Dic13C2411yescharacteristic
489#6131—28no—
490Q8×D13—216no—
491Q8×D13—216no—
492Q8×D13—28no—
493Q8×D13—48no—
494#6129—216no—
495#6129—28no—
496D4×D13—216no—
497D4×D13—28no—
498D4×D13—48no—
499#6127—28no—
500#6127—216no—
501C2×D52C2412yes—
502C2×D52C2414yes—
503C2×D52C2414yes—
504C2×C4×D13—28no—
505C2×C4×D13—216no—
506C2×C4×D13—24no—
507C2×C4×D13—216no—
508C2×C4×D13—42no—
509C2×C4×D13—48no—
510C2×C4×D13—44no—
511C2×C4×D13#4118yes—
512C2×C4×D13C2411yescharacteristic
513C2×C4×D13C2411yescharacteristic
514C2×C4×D13C2411yescharacteristic
515C2×C4×D13C2412yes—
516C2×C4×D13C2414yes—
517C2×C4×D13C2414yes—
518C2×C4×D13C2414yes—
519C2×C4×D13C2414yes—
520C2×C4×D13C2414yes—
521C2×C4×D13C2414yes—
522C2×C4×D13C2414yes—
523C2×C4×D13C2414yes—
524C2×C4×D13C2414yes—
525C2×C4×D13C2414yes—
526C2×C4×D13C2412yes—
527C2×C4×D13C2414yes—
528C2×C4×D13C2414yes—
529C2×C4×D13C2414yes—
530C2×C4×D13C2412yes—
531C2×C4×D13C2412yes—
532C2×C4×D13C2411yescharacteristic
533C2×Dic26—24no—
534C2×Dic26—28no—
535C2×Dic26C2412yes—
536C2×Dic26C2414yes—
537C2×Dic26C2418yes—
538C2×Dic26C2414yes—
539C2×Dic26C2418yes—
540C2×Dic26C2414yes—
541C13×C4⋊C4C2414yes—
542C13×C4⋊C4C2418yes—
543C13×C4⋊C4C2412yes—
544C13×C4⋊C4C2418yes—
545C13×C4⋊C4C2414yes—
546C13×C4⋊C4C2414yes—
547C13×C4⋊C4C2414yes—
548C13×C4⋊C4C2412yes—
549C13×C4⋊C4C2418yes—
550C13×C4⋊C4C2418yes—
551C13×C4⋊C4C2414yes—
552C13×C22⋊C4C2418yes—
553C13×C22⋊C4C2414yes—
554C13×C22⋊C4C2418yes—
555C13×C22⋊C4C2414yes—
556C13×C22⋊C4C2414yes—
557C13×C22⋊C4C2418yes—
558C42×C13C2412yes—
559C42×C13C2412yes—
560C42×C13C2414yes—
561C42×C13C2414yes—
562C42×C13C2414yes—
563C42×C13C2414yes—
564C42×C13C2414yes—
565C22⋊Dic13C2418yes—
566C22⋊Dic13C2418yes—
567C22⋊Dic13C2414yes—
568C22⋊Dic13C2414yes—
569C22⋊Dic13C2414yes—
570C22⋊Dic13C2418yes—
571#6103C2414yes—
572#6103C2414yes—
573#6103C2414yes—
574#6103C2414yes—
575#6103C2414yes—
576#6103C2414yes—
577#6103C2418yes—
578#6103C2418yes—
579#6103C2418yes—
580#6103C2418yes—
581#6103C2418yes—
582#6103C2418yes—
583C4⋊Dic13C2414yes—
584C4⋊Dic13C2418yes—
585C4⋊Dic13C2412yes—
586C4⋊Dic13C2418yes—
587C4⋊Dic13C2412yes—
588C4⋊Dic13C2414yes—
589C4⋊Dic13C2414yes—
590C4⋊Dic13C2414yes—
591C4⋊Dic13C2418yes—
592C4⋊Dic13C2418yes—
593C4⋊Dic13C2414yes—
594#6101C2418yes—
595#6101C2418yes—
596#6101C2418yes—
597#6101C2414yes—
598#6101C2414yes—
599#6101C2418yes—
600#6101C2418yes—
601#6101C2414yes—
602#6101C2414yes—
603#6101C2414yes—
604#6101C2414yes—
605#6101C2418yes—
606#6101C2418yes—
607#6101C2418yes—
608#6101C2418yes—
609#6101C2418yes—
610#6101C2418yes—
611C4×Dic13C2412yes—
612C4×Dic13C2414yes—
613C4×Dic13C2414yes—
614C4×Dic13C2412yes—
615C4×Dic13C2414yes—
616C4×Dic13C2412yes—
617C4×Dic13C2414yes—
618C4×Dic13C2412yes—
619C4×Dic13C2412yes—
620C4×Dic13C2412yes—
621C4×Dic13C2414yes—
622C4×Dic13C2414yes—
623C4×Dic13C2414yes—
624C4×Dic13C2414yes—
625C4×Dic13C2414yes—
626C4×Dic13C2414yes—
627C4×Dic13C2414yes—
628C4×Dic13C2414yes—
629C4×Dic13C2414yes—
630C4×Dic13C2414yes—
631C4×Dic13C2414yes—
632#3461—131no—
633#3461—134no—
634#3461—134no—
635#3461—134no—
636#3461—131no—
637#3461—132no—
638#3461—134no—
639#3461—134no—
640#3461—134no—
641#3461—132no—
642#3461—131no—
643#3461D1311yescharacteristic, direct product factor
644C2×#544—131no—
645C2×#542—134no—
646C2×#541—134no—
647C2×#539—134no—
648C2×#537—131no—
649C2×#536—132no—
650C2×#533—134no—
651C2×#529—134no—
652C2×#529—134no—
653C2×C4×#41—132no—
654C22×C4×Q8—131no—
655C23×C13C2514yes—
656C23×C13C2511yescharacteristic
657C22×D13—22no—
658C22×D13—22no—
659C22×D13—28no—
660C22×D13—28no—
661C22×D13—28no—
662C22×D13C2×#4114yes—
663C22×D13C2514yes—
664C22×D13C2511yescharacteristic
665C22×D13C2511yescharacteristic
666Q8×C13—28no—
667Q8×C13—24no—
668Q8×C13—44no—
669D4×C13—28no—
670D4×C13—24no—
671D4×C13—44no—
672C2×C4×C13—24no—
673C2×C4×C13—28no—
674C2×C4×C13—22no—
675C2×C4×C13—28no—
676C2×C4×C13—44no—
677C2×C4×C13—42no—
678C2×C4×C13—41no—
679C2×C4×C13C2×#4114yes—
680C2×C4×C13C2511yescharacteristic
681C2×C4×C13C2512yes—
682C2×C4×C13C2514yes—
683C2×C4×C13C2514yes—
684C2×C4×C13C2514yes—
685C2×C4×C13C2514yes—
686C2×C4×C13C2514yes—
687C2×C4×C13C2512yes—
688C2×C4×C13C2511yescharacteristic
689C22⋊D13—28no—
690C22⋊D13—28no—
691C22⋊D13—28no—
692C22⋊D13—48no—
693C2×Dic13—24no—
694C2×Dic13—28no—
695C2×Dic13—22no—
696C2×Dic13—28no—
697C2×Dic13—44no—
698C2×Dic13—42no—
699C2×Dic13—41no—
700C2×Dic13C2×#4114yes—
701C2×Dic13C2511yescharacteristic
702C2×Dic13C2512yes—
703C2×Dic13C2514yes—
704C2×Dic13C2514yes—
705C2×Dic13C2514yes—
706C2×Dic13C2514yes—
707C2×Dic13C2514yes—
708C2×Dic13C2512yes—
709C2×Dic13C2511yescharacteristic
710D52—28no—
711D52—24no—
712D52—44no—
713C4×D13—28no—
714C4×D13—28no—
715C4×D13—28no—
716C4×D13—22no—
717C4×D13—28no—
718C4×D13—24no—
719C4×D13—28no—
720C4×D13—28no—
721C4×D13—28no—
722C4×D13—22no—
723C4×D13—28no—
724C4×D13—28no—
725C4×D13—22no—
726C4×D13—28no—
727C4×D13—44no—
728C4×D13—44no—
729C4×D13—44no—
730C4×D13—42no—
731C4×D13C2×#4118yes—
732C4×D13C2×#4118yes—
733C4×D132−1+414yes—
734Dic26—28no—
735Dic26—24no—
736Dic26—216no—
737Dic26—28no—
738Dic26—44no—
739Dic26—48no—
740C22×#41—132no—
741C23×Q8—131no—
742#544—134no—
743#544—134no—
744#544—134no—
745#544—132no—
746#544—131no—
747#544C2×D1311yescharacteristic, complemented
748#542—134no—
749#542—138no—
750#542—138no—
751#542—134no—
752#542—138no—
753#542—138no—
754#542—134no—
755#542—134no—
756#542—134no—
757#542—134no—
758#542—134no—
759#542C2×D1314yescomplemented
760#541—134no—
761#541—138no—
762#541—138no—
763#541—138no—
764#541—138no—
765#541—134no—
766#541—134no—
767#541—134no—
768#541—134no—
769#541—134no—
770#541—134no—
771#541C2×D1314yescomplemented
772#539—138no—
773#539—138no—
774#539—138no—
775#539—138no—
776#539—138no—
777#539—134no—
778#539—134no—
779#539—138no—
780#539—134no—
781#539C2×D1314yescomplemented
782#537—132no—
783#537—134no—
784#537—134no—
785#537—134no—
786#537—131no—
787#537C2×D1311yescharacteristic
788#536—132no—
789#536—132no—
790#536—134no—
791#536—134no—
792#536—138no—
793#536—134no—
794#536—134no—
795#536—132no—
796#536C2×D1312yescomplemented
797#533—134no—
798#533—134no—
799#533—138no—
800#533—134no—
801#533—134no—
802#533—138no—
803#533—138no—
804#533—134no—
805#533—134no—
806#533—138no—
807#533—134no—
808#533C2×D1314yescomplemented
809C2×C4⋊Q8—134no—
810C2×C4⋊Q8—134no—
811#529—138no—
812#529—138no—
813#529—134no—
814#529—134no—
815#529—134no—
816#529—134no—
817#529—138no—
818#529—138no—
819#529—134no—
820#529—134no—
821#529—134no—
822#529—134no—
823#529—134no—
824#529—134no—
825#529—138no—
826#529—138no—
827#529—134no—
828#529—134no—
829#529—138no—
830#529—138no—
831#529—134no—
832#529—134no—
833#529C2×D1314yescomplemented
834#529C2×D1314yescomplemented
835C2×#126—138no—
836C2×#126—138no—
837C2×#125—134no—
838C2×#125—134no—
839C2×#125—138no—
840C2×#124—134no—
841C2×#124—134no—
842C2×#123—138no—
843C2×#123—138no—
844C2×C22⋊Q8—134no—
845C2×C22⋊Q8—134no—
846C2×C22⋊Q8—134no—
847C2×C22⋊Q8—134no—
848C2×C22⋊Q8—138no—
849C2×#121—134no—
850C2×#121—134no—
851C4×#41—132no—
852C4×#41—132no—
853C4×#41—132no—
854C4×#41—134no—
855C4×#41—134no—
856C4×#41—132no—
857C4×#41—132no—
858C4×#41—132no—
859C4×#41—134no—
860C4×#41—134no—
861C4×#41—132no—
862C4×#41C2×D1312yescomplemented
863C2×C4×Q8—131no—
864C2×C4×Q8—134no—
865C2×C4×Q8—134no—
866C2×C4×Q8—134no—
867C2×C4×Q8—134no—
868C2×C4×Q8—132no—
869C2×C4×Q8—132no—
870C2×C4×Q8—134no—
871C2×C4×Q8—132no—
872C2×C4×Q8—131no—
873C2×C4×Q8—132no—
874C2×C4×Q8—131no—
875C2×C4×Q8C2×D1311yescharacteristic, complemented
876C2×C4×D4—134no—
877C2×C4×D4—132no—
878C2×C4×D4—134no—
879C2×C4×D4—132no—
880C2×C4×D4—134no—
881C2×#117—132no—
882C2×#117—134no—
883C2×#117—138no—
884C22×C4⋊C4—131no—
885C22×C4⋊C4—132no—
886C22×C42—131no—
887C22×C42—132no—
888C22×C42—134no—
889C22×C13—21no—
890C22×C13—21no—
891C22×C13—24no—
892C22×C13—24no—
893C22×C13—24no—
894C22×C13C22×#4112yes—
895C22×C13C2611yescharacteristic
896C2×D13—21no—
897C2×D13—21no—
898C2×D13—28no—
899C2×D13—24no—
900C2×D13—24no—
901C2×D13—24no—
902C2×D13—416no—
903C2×D13C22×#4112yes—
904C2×D13C22×#4112yes—
905C2×D13C2×2−1+412yes—
906C2×D13#58512yes—
907C4×C13—24no—
908C4×C13—24no—
909C4×C13—21no—
910C4×C13—24no—
911C4×C13—24no—
912C4×C13—24no—
913C4×C13—22no—
914C4×C13C22×#4114yes—
915C4×C13C2×2−1+412yes—
916Dic13—24no—
917Dic13—24no—
918Dic13—21no—
919Dic13—24no—
920Dic13—24no—
921Dic13—24no—
922Dic13—22no—
923Dic13C22×#4114yes—
924Dic13C2×2−1+412yes—
925C2×#41—132no—
926C2×#41—134no—
927C2×#41—132no—
928C2×#41—134no—
929C2×#41—132no—
930C2×#41—2616no—
931C2×#41C22×D1312yes—
932C22×Q8—134no—
933C22×Q8—132no—
934C22×Q8—134no—
935C22×Q8—134no—
936C22×Q8—132no—
937C22×Q8—131no—
938C22×Q8—268no—
939C22×Q8C22×D1311yescharacteristic
940C22×D4—134no—
941C22×D4—132no—
942C22×D4—134no—
943C23×C4—131no—
944C23×C4—132no—
945C23×C4—134no—
946C23×C4—134no—
947C23×C4—131no—
948C23×C4—131no—
949C23×C4—132no—
950C23×C4—134no—
951C4⋊Q8—134no—
952C4⋊Q8—134no—
953C4⋊Q8—138no—
954C4⋊Q8—138no—
955C4⋊Q8—138no—
956C4⋊Q8—138no—
957C4⋊Q8—134no—
958C4⋊Q8—134no—
959C4⋊Q8—134no—
960C4⋊Q8—134no—
961C4⋊Q8C22×D1314yes—
962C4⋊Q8C22×D1314yes—
963#126—138no—
964#126—138no—
965#126—138no—
966#126—138no—
967#126—138no—
968#126—138no—
969#126—138no—
970#126—138no—
971#126—138no—
972#126—138no—
973#126—138no—
974#126—138no—
975#126—138no—
976#126—138no—
977#126C22×D1318yes—
978#126C22×D1318yes—
979#125—138no—
980#125—138no—
981#125—134no—
982#125—134no—
983#125—138no—
984#125—138no—
985#125—134no—
986#125—134no—
987#125—138no—
988#125—138no—
989#125—138no—
990#125—138no—
991#125—138no—
992#125—138no—
993#125—134no—
994#125—134no—
995#125—138no—
996#125C22×D1314yes—
997#125C22×D1314yes—
998#125C22×D1318yes—
999#124—134no—
1000#124—134no—
1001#124—134no—
1002#124—134no—
1003#124—138no—
1004#124—138no—
1005#124—138no—
1006#124—138no—
1007#124—134no—
1008#124—134no—
1009#124C22×D1314yes—
1010#124C22×D1314yes—
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#123C22×D1318yes—
1026#123C22×D1318yes—
1027C22⋊Q8—134no—
1028C22⋊Q8—134no—
1029C22⋊Q8—134no—
1030C22⋊Q8—134no—
1031C22⋊Q8—138no—
1032C22⋊Q8—134no—
1033C22⋊Q8—134no—
1034C22⋊Q8—134no—
1035C22⋊Q8—134no—
1036C22⋊Q8—138no—
1037C22⋊Q8—138no—
1038C22⋊Q8—134no—
1039C22⋊Q8—138no—
1040C22⋊Q8—134no—
1041C22⋊Q8—138no—
1042C22⋊Q8—134no—
1043C22⋊Q8—138no—
1044C22⋊Q8—134no—
1045C22⋊Q8—138no—
1046C22⋊Q8—138no—
1047C22⋊Q8—138no—
1048C22⋊Q8—138no—
1049C22⋊Q8—138no—
1050C22⋊Q8—138no—
1051C22⋊Q8—138no—
1052C22⋊Q8—138no—
1053C22⋊Q8—138no—
1054C22⋊Q8C22×D1314yes—
1055C22⋊Q8C22×D1314yes—
1056C22⋊Q8C22×D1314yes—
1057C22⋊Q8C22×D1314yes—
1058C22⋊Q8C22×D1318yes—
1059#121—134no—
1060#121—138no—
1061#121—134no—
1062#121—138no—
1063#121—134no—
1064#121—134no—
1065#121—134no—
1066#121—134no—
1067#121—138no—
1068#121—138no—
1069#121C22×D1314yes—
1070#121C22×D1314yes—
1071C4×Q8—134no—
1072C4×Q8—134no—
1073C4×Q8—132no—
1074C4×Q8—132no—
1075C4×Q8—134no—
1076C4×Q8—138no—
1077C4×Q8—134no—
1078C4×Q8—138no—
1079C4×Q8—134no—
1080C4×Q8—132no—
1081C4×Q8—134no—
1082C4×Q8—134no—
1083C4×Q8—132no—
1084C4×Q8—138no—
1085C4×Q8—134no—
1086C4×Q8—138no—
1087C4×Q8—134no—
1088C4×Q8—138no—
1089C4×Q8—134no—
1090C4×Q8—134no—
1091C4×Q8—132no—
1092C4×Q8—134no—
1093C4×Q8—132no—
1094C4×Q8—138no—
1095C4×Q8—134no—
1096C4×Q8C22×D1314yes—
1097C4×Q8C22×D1314yes—
1098C4×Q8C22×D1312yes—
1099C4×Q8C22×D1312yes—
1100C4×Q8C22×D1314yes—
1101C4×D4—132no—
1102C4×D4—134no—
1103C4×D4—134no—
1104C4×D4—132no—
1105C4×D4—134no—
1106C4×D4—134no—
1107C4×D4—134no—
1108C4×D4—134no—
1109C4×D4—134no—
1110C4×D4—134no—
1111C4×D4—134no—
1112C4×D4—138no—
1113C4×D4—132no—
1114C4×D4—134no—
1115C4×D4—134no—
1116C4×D4—132no—
1117C4×D4—134no—
1118C4×D4—134no—
1119C4×D4—134no—
1120C4×D4—134no—
1121C4×D4—134no—
1122C4×D4—134no—
1123C4×D4—134no—
1124C4×D4—138no—
1125C4×D4—132no—
1126C4×D4—134no—
1127C4×D4—134no—
1128C4×D4—132no—
1129C4×D4—134no—
1130C4×D4C22×D1312yes—
1131C4×D4C22×D1314yes—
1132C4×D4C22×D1314yes—
1133C4×D4C22×D1312yes—
1134C4×D4C22×D1314yes—
1135#117—132no—
1136#117—134no—
1137#117—138no—
1138#117—132no—
1139#117—132no—
1140#117—134no—
1141#117—134no—
1142#117—138no—
1143#117—138no—
1144#117—134no—
1145#117—134no—
1146#117—134no—
1147#117—138no—
1148#117—138no—
1149#117—134no—
1150#117—134no—
1151#117—134no—
1152#117—138no—
1153#117—138no—
1154#117C22×D1312yes—
1155#117C22×D1314yes—
1156#117C22×D1318yes—
1157C2×C4⋊C4—132no—
1158C2×C4⋊C4—131no—
1159C2×C4⋊C4—132no—
1160C2×C4⋊C4—132no—
1161C2×C4⋊C4—132no—
1162C2×C4⋊C4—134no—
1163C2×C4⋊C4—138no—
1164C2×C4⋊C4—134no—
1165C2×C4⋊C4—138no—
1166C2×C4⋊C4—132no—
1167C2×C4⋊C4—134no—
1168C2×C4⋊C4—132no—
1169C2×C4⋊C4—134no—
1170C2×C4⋊C4—138no—
1171C2×C4⋊C4—138no—
1172C2×C4⋊C4—134no—
1173C2×C4⋊C4—134no—
1174C2×C4⋊C4—138no—
1175C2×C4⋊C4C22×D1311yescharacteristic
1176C2×C4⋊C4C22×D1312yes—
1177C2×C22⋊C4—134no—
1178C2×C22⋊C4—134no—
1179C2×C22⋊C4—134no—
1180C2×C22⋊C4—138no—
1181C2×C22⋊C4—138no—
1182C2×C22⋊C4—138no—
1183C2×C42—131no—
1184C2×C42—131no—
1185C2×C42—131no—
1186C2×C42—132no—
1187C2×C42—132no—
1188C2×C42—132no—
1189C2×C42—134no—
1190C2×C42—134no—
1191C2×C42—134no—
1192C2×C42—132no—
1193C2×C42—134no—
1194C2×C42—134no—
1195C2×C42—134no—
1196C2×C42—132no—
1197C2×C42—134no—
1198C2×C42—132no—
1199C2×C42—132no—
1200C2×C42—134no—
1201C2×C42—134no—
1202C2×C42—134no—
1203C2×C42—134no—
1204C2×C42—134no—
1205C2×C42—134no—
1206C2×C42—134no—
1207C2×C42C22×D1311yescharacteristic
1208C2×C42C22×D1312yes—
1209C2×C42C22×D1314yes—
1210C2×C13—22no—
1211C2×C13—44no—
1212C2×C13C23×#4111yescharacteristic
1213C2×C13C22×2−1+411yescharacteristic
1214C2×C13C2×#58511yescharacteristic
1215D13—22no—
1216D13—44no—
1217D13#346114yesdirect product factor
1218C24—131no—
1219C24—134no—
1220#41—28no—
1221#41—2616no—
1222#41—2616no—
1223#41—268no—
1224#41—268no—
1225#41—268no—
1226C2×Q8—24no—
1227C2×Q8—138no—
1228C2×Q8—134no—
1229C2×Q8—134no—
1230C2×Q8—132no—
1231C2×Q8—134no—
1232C2×Q8—138no—
1233C2×Q8—268no—
1234C2×Q8—2616no—
1235C2×Q8—2616no—
1236C2×Q8—268no—
1237C2×Q8—264no—
1238C2×Q8—528no—
1239C2×Q8C23×D1314yes—
1240C2×Q8C23×D1312yes—
1241C2×Q8C23×D1314yes—
1242C2×D4—134no—
1243C2×D4—134no—
1244C2×D4—134no—
1245C2×D4—138no—
1246C2×D4—134no—
1247C2×D4—132no—
1248C2×D4—134no—
1249C2×D4—268no—
1250C2×D4—2616no—
1251C2×D4—528no—
1252C2×D4C23×D1314yes—
1253C2×D4C23×D1312yes—
1254C2×D4C23×D1314yes—
1255C22×C4—131no—
1256C22×C4—138no—
1257C22×C4—132no—
1258C22×C4—132no—
1259C22×C4—131no—
1260C22×C4—131no—
1261C22×C4—132no—
1262C22×C4—134no—
1263C22×C4—134no—
1264C22×C4—131no—
1265C22×C4—132no—
1266C22×C4—134no—
1267C22×C4—131no—
1268C22×C4—131no—
1269C22×C4—132no—
1270C22×C4—134no—
1271C22×C4—134no—
1272C22×C4—134no—
1273C22×C4—134no—
1274C22×C4—134no—
1275C22×C4—134no—
1276C22×C4—134no—
1277C22×C4—134no—
1278C22×C4—134no—
1279C22×C4—131no—
1280C22×C4—134no—
1281C22×C4—132no—
1282C22×C4—134no—
1283C22×C4—134no—
1284C22×C4—134no—
1285C22×C4—2616no—
1286C22×C4—264no—
1287C22×C4—2616no—
1288C22×C4—268no—
1289C22×C4—522no—
1290C22×C4—528no—
1291C22×C4—524no—
1292C22×C4C23×D1312yes—
1293C22×C4C23×D1314yes—
1294C22×C4C23×D1311yescharacteristic
1295C22×C4C23×D1314yes—
1296C22×C4C23×D1311yescharacteristic
1297C22×C4C23×D1312yes—
1298C22×C4C23×D1314yes—
1299C22×C4C23×D1311yescharacteristic
1300C4⋊C4—138no—
1301C4⋊C4—134no—
1302C4⋊C4—138no—
1303C4⋊C4—138no—
1304C4⋊C4—138no—
1305C4⋊C4—134no—
1306C4⋊C4—134no—
1307C4⋊C4—134no—
1308C4⋊C4—134no—
1309C4⋊C4—132no—
1310C4⋊C4—134no—
1311C4⋊C4—132no—
1312C4⋊C4—134no—
1313C4⋊C4—134no—
1314C4⋊C4—134no—
1315C4⋊C4—138no—
1316C4⋊C4—138no—
1317C4⋊C4—138no—
1318C4⋊C4—138no—
1319C4⋊C4—138no—
1320C4⋊C4—138no—
1321C4⋊C4—138no—
1322C4⋊C4—134no—
1323C4⋊C4—138no—
1324C4⋊C4—134no—
1325C4⋊C4—138no—
1326C4⋊C4—138no—
1327C4⋊C4—138no—
1328C4⋊C4C23×D1314yes—
1329C4⋊C4C23×D1318yes—
1330C4⋊C4C23×D1314yes—
1331C4⋊C4C23×D1312yes—
1332C4⋊C4C23×D1312yes—
1333C4⋊C4C23×D1314yes—
1334C4⋊C4C23×D1318yes—
1335C4⋊C4C23×D1318yes—
1336C4⋊C4C23×D1314yes—
1337C4⋊C4C23×D1314yes—
1338C4⋊C4C23×D1318yes—
1339C22⋊C4—134no—
1340C22⋊C4—134no—
1341C22⋊C4—134no—
1342C22⋊C4—138no—
1343C22⋊C4—138no—
1344C22⋊C4—138no—
1345C22⋊C4—134no—
1346C22⋊C4—134no—
1347C22⋊C4—134no—
1348C22⋊C4—134no—
1349C22⋊C4—134no—
1350C22⋊C4—134no—
1351C22⋊C4—138no—
1352C22⋊C4—138no—
1353C22⋊C4—138no—
1354C22⋊C4—138no—
1355C22⋊C4—138no—
1356C22⋊C4—138no—
1357C22⋊C4C23×D1314yes—
1358C22⋊C4C23×D1314yes—
1359C22⋊C4C23×D1314yes—
1360C22⋊C4C23×D1318yes—
1361C22⋊C4C23×D1318yes—
1362C22⋊C4C23×D1318yes—
1363C42—132no—
1364C42—132no—
1365C42—134no—
1366C42—134no—
1367C42—134no—
1368C42—134no—
1369C42—132no—
1370C42—132no—
1371C42—132no—
1372C42—134no—
1373C42—134no—
1374C42—134no—
1375C42—134no—
1376C42—134no—
1377C42—134no—
1378C42—134no—
1379C42—134no—
1380C42—134no—
1381C42—132no—
1382C42—134no—
1383C42—134no—
1384C42C23×D1312yes—
1385C42C23×D1314yes—
1386C42C23×D1314yes—
1387C42C23×D1314yes—
1388C42C23×D1312yes—
1389C42C23×D1314yes—
1390C42C23×D1314yes—
1391C13C2×#346111yescharacteristic, complemented, Sylow
1392C23—131no—
1393C23—134no—
1394C23—131no—
1395C23—134no—
1396C23—262no—
1397C23—262no—
1398C23—268no—
1399C23—268no—
1400C23—268no—
1401C23C24×D1314yes—
1402C23C24×D1311yescharacteristic
1403Q8—28no—
1404Q8—24no—
1405Q8—44no—
1406Q8—2616no—
1407Q8—268no—
1408Q8—268no—
1409Q8—264no—
1410Q8—524no—
1411Q8—528no—
1412D4—28no—
1413D4—24no—
1414D4—44no—
1415D4—268no—
1416D4—268no—
1417D4—268no—
1418D4—268no—
1419D4—264no—
1420D4—524no—
1421D4—528no—
1422C2×C4—24no—
1423C2×C4—28no—
1424C2×C4—22no—
1425C2×C4—28no—
1426C2×C4—41no—
1427C2×C4—44no—
1428C2×C4—42no—
1429C2×C4—134no—
1430C2×C4—131no—
1431C2×C4—132no—
1432C2×C4—138no—
1433C2×C4—138no—
1434C2×C4—134no—
1435C2×C4—131no—
1436C2×C4—132no—
1437C2×C4—134no—
1438C2×C4—134no—
1439C2×C4—134no—
1440C2×C4—134no—
1441C2×C4—134no—
1442C2×C4—262no—
1443C2×C4—268no—
1444C2×C4—268no—
1445C2×C4—262no—
1446C2×C4—268no—
1447C2×C4—268no—
1448C2×C4—268no—
1449C2×C4—268no—
1450C2×C4—264no—
1451C2×C4—268no—
1452C2×C4—268no—
1453C2×C4—262no—
1454C2×C4—268no—
1455C2×C4—268no—
1456C2×C4—264no—
1457C2×C4—268no—
1458C2×C4—262no—
1459C2×C4—268no—
1460C2×C4—522no—
1461C2×C4—524no—
1462C2×C4—524no—
1463C2×C4—524no—
1464C2×C4—521no—
1465C2×C4—524no—
1466C2×C4—522no—
1467C2×C4#41×D1314yes—
1468C2×C4C24×D1311yescharacteristic
1469C2×C4C24×D1312yes—
1470C2×C4C24×D1314yes—
1471C2×C4C24×D1314yes—
1472C2×C4C24×D1314yes—
1473C2×C4C24×D1314yes—
1474C2×C4C24×D1314yes—
1475C2×C4C24×D1312yes—
1476C2×C4C24×D1311yescharacteristic
1477C22—21no—
1478C22—21no—
1479C22—24no—
1480C22—24no—
1481C22—24no—
1482C22—132no—
1483C22—132no—
1484C22—132no—
1485C22—132no—
1486C22—268no—
1487C22—261no—
1488C22—261no—
1489C22—264no—
1490C22—264no—
1491C22—264no—
1492C22—5216no—
1493C22C2×#41×D1312yes—
1494C22C25×D1311yescharacteristic
1495C4—24no—
1496C4—24no—
1497C4—21no—
1498C4—24no—
1499C4—22no—
1500C4—24no—
1501C4—24no—
1502C4—134no—
1503C4—132no—
1504C4—264no—
1505C4—264no—
1506C4—261no—
1507C4—264no—
1508C4—262no—
1509C4—264no—
1510C4—264no—
1511C4C2×#41×D1314yes—
1512C4D13×2−1+412yes—
1513C2—22no—
1514C2—44no—
1515C2—134no—
1516C2—262no—
1517C2—524no—
1518C2C22×#41×D1311yescharacteristic
1519C2C2×D13×2−1+411yescharacteristic
1520C2D13×#58511yescharacteristic
subgroupG/H
centerC2×C4C24×D13
commutator, socle, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC13×#3461C2
prime radicalD13×#537C2
hypercenter#3461D13
hypocenterC13C2×#3461
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #13128270C2semidirect
2. #13128269C2semidirect
3. #13128268C2semidirect
4. #13128267C2semidirect
5. #13128266C2semidirect
6. #13128265C2semidirect
7. #13128264C2semidirect
8. #13128263C2semidirect
9. #13128262C2semidirect
10. #13128261C2semidirect
11. #13128260C2semidirect
12. D13×#544C2semidirect
13. D13×#542C2semidirect
14. D13×#541C2semidirect
15. D13×#539C2semidirect
17. D13×#536C2semidirect
18. D13×#533C2semidirect
19. D13×#529C2semidirect
20. D13×#529C2semidirect
21. C4×#41×D13C2semidirect
22. C2×C4×Q8×D13C2semidirect
23. C13×#3461C2semidirect
26. C13×#544C22semidirect
27. C13×#542C22semidirect
28. C13×#541C22semidirect
29. C13×#539C22semidirect
31. C13×#536C22semidirect
32. C13×#533C22semidirect
33. C13×#529C22semidirect
34. C13×#529C22semidirect
35. C4×C13×#41C22semidirect
36. C2×C4×Q8×C13C22semidirect
38. #41×Dic13C22semidirect
39. #11719530C22semidirect
40. #11719521C22semidirect
41. C2×Q8×Dic13C22semidirect
42. #11719438C22semidirect
43. #11719436C22semidirect
44. #11719434C22semidirect
45. #11719433C22semidirect
46. #11719433C22semidirect
47. #11719429C22semidirect
50. #11719415C22semidirect
51. #11719412C22semidirect
52. #11719411C22semidirect
53. #11719411C22semidirect
56. #11719406C22semidirect
57. #11719406C22semidirect
58. #11719402C22semidirect
59. #11719401C22semidirect
60. #11719401C22semidirect
61. #11719397C22semidirect
62. #11719396C22semidirect
63. #11719396C22semidirect
64. #11719394C22semidirect
65. #11719393C22semidirect
69. #11719387C22semidirect
70. #11719385C22semidirect
71. #11719385C22semidirect
72. #11719380C22semidirect
75. #11719374C22semidirect
76. #11719370C22semidirect
77. #11719367C22semidirect
78. #11719365C22semidirect
81. #11719354C22semidirect
82. #11719354C22semidirect
83. #11719353C22semidirect
84. #11719350C22semidirect
85. #11719348C22semidirect
86. #11719345C22semidirect
87. #11719343C22semidirect
89. #11719333C22semidirect
90. #11719333C22semidirect
96. #11719330C22semidirect
97. #11719330C22semidirect
98. #11719329C22semidirect
99. #11719329C22semidirect
100. #11719328C22semidirect
101. #11719327C22semidirect
102. #11719327C22semidirect
103. #11719327C22semidirect
107. #11719308C22semidirect
108. #11719307C22semidirect
109. #11719305C22semidirect
110. #11719305C22semidirect
112. #11719288C22semidirect
113. #11719288C22semidirect
114. #11719287C22semidirect
115. #11719285C22semidirect
116. #11719285C22semidirect
117. #11719283C22semidirect
118. #11719283C22semidirect
119. #11719283C22semidirect
120. C4×#6131C22semidirect
121. C4×#6131C22semidirect
127. C4×Q8×D13C22semidirect
128. C4×Q8×D13C22semidirect
129. #11719269C22semidirect
130. #11719266C22semidirect
131. #11719262C22semidirect
132. #11719262C22semidirect
138. #11719243C22semidirect
139. #11719243C22semidirect
140. C4×#6129C22semidirect
141. C4×#6129C22semidirect
142. C4×#6129C22semidirect
143. C4×#6129C22semidirect
144. #11719239C22semidirect
145. #11719233C22semidirect
146. #11719233C22semidirect
147. #11719231C22semidirect
148. #11719227C22semidirect
149. #11719227C22semidirect
153. #11719224C22semidirect
154. #11719223C22semidirect
155. #11719222C22semidirect
156. #11719220C22semidirect
160. #11719205C22semidirect
161. C2×#88141C22semidirect
162. C2×#88141C22semidirect
163. #11719184C22semidirect
164. #11719184C22semidirect
165. C4×#6127C22semidirect
166. C4×#6127C22semidirect
170. #11719175C22semidirect
171. C2×C4×Dic26C22semidirect
172. C2×C4×Dic26C22semidirect
643. #3461D13direct (N × H)
747. #544C2×D13semidirect
759. #542C2×D13semidirect
771. #541C2×D13semidirect
781. #539C2×D13semidirect
796. #536C2×D13semidirect
808. #533C2×D13semidirect
833. #529C2×D13semidirect
834. #529C2×D13semidirect
862. C4×#41C2×D13semidirect
875. C2×C4×Q8C2×D13semidirect
1217. D13#3461direct (N × H)
1391. C13C2×#3461semidirect

Maximal subgroups

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

subgroupindex
#131282702
#131282692
#131282682
#131282672
#131282662
#131282652
#131282642
#131282632
#131282622
#131282612
#131282602
D13×#5442
D13×#5422
D13×#5412
D13×#5392
D13×#5372
D13×#5362
D13×#5332
D13×#5292
C4×#41×D132
C2×C4×Q8×D132
C13×#34612
C2×#346113