Finite Group Databasebeta

← #11901946

Subgroups — #11901946

Order 1152.

2103 conjugacy classes of subgroups.

The subgroup lattice has 759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596199C211yesmaximal, characteristic, complemented
2C3×#5729C212yesmaximal, complemented
3#10595434C212yesmaximal
4#10595375C212yesmaximal, complemented
5#10595368C214yesmaximal, complemented
6#10594636C212yesmaximal
7D3×#892C212yesmaximal
8#10594505C212yesmaximal, complemented
9#10594448C212yesmaximal, complemented
10#10594401C212yesmaximal, complemented
11#10594388C214yesmaximal, complemented
12#10594342C212yesmaximal, complemented
13#10593992C211yesmaximal, characteristic
14#10593959C212yesmaximal, complemented
15#10593854C211yesmaximal, characteristic, complemented
16#86581—32nomaximal
17C2×C4×D32C2211yescharacteristic
18C32×C4⋊Q8C2211yescharacteristic, complemented
19#64155C2212yes—
20Q8×C3⋊Dic3C2212yescomplemented
21#64106C2212yes—
22#64101C2212yes—
23#64099C2212yescomplemented
24#64096C2212yescomplemented
25C42×C3⋊D3C2211yescharacteristic
26#64078C2211yescharacteristic, complemented
27C3×#946C2214yes—
28C3×#944C2214yescomplemented
29C3×#896C2214yes—
30C3×#892C2212yes—
31C3×D3×C4⋊C4C2212yes—
32C3×#890C2212yescomplemented
33C3×#889C2214yescomplemented
34C3×#888C2212yescomplemented
35C3×#872C2212yes—
36C3×#870C2212yescomplemented
37#63921C2211yescharacteristic
38#63921C2211yescharacteristic
39D3×(C2×D3)⋊C4C2214yes—
40#63919C2211yescharacteristic, complemented
41#63919C2211yescharacteristic, complemented
42#63918C2214yescomplemented
43#63918C2212yescomplemented
44#63899C2214yes—
45#63896C2214yes—
46#63895C2214yes—
47#63893C2214yes—
48#63893C2214yes—
49D3×C4⋊Dic3C2212yes—
50#63888C2214yes—
51#63883C2211yescharacteristic
52#63883C2211yescharacteristic
53C4×#624C2211yescharacteristic
54#63878C2212yes—
55#63878C2214yes—
56#63878C2212yes—
57C4×D3×Dic3C2214yes—
58#63869C2212yescomplemented
59#63867C2214yescomplemented
60#63865C2212yes—
61#63865C2212yes—
62#63856C2214yes—
63#63855C2212yes—
64#63851C2214yes—
65#63849C2212yes—
66#63845C2214yescomplemented
67#63845C2214yescomplemented
68#63843C2214yescomplemented
69#63841C2212yes—
70#63840C2214yescomplemented
71#63839C2214yescomplemented
72#63838C2212yescomplemented
73#63838C2214yescomplemented
74#63838C2212yescomplemented
75#63836C2214yes—
76C3×#544—32no—
77#5729—34no—
78#5729—32no—
79#5729D312yescomplemented
80#5728—32no—
81#5728—34no—
82#5728—32no—
83#5728—61no—
84#5689—32no—
85#5689—34no—
86#5689—32no—
87#5688—34no—
88#5688—32no—
89#5688—32no—
90#5634—34no—
91#5634—34no—
92#5622—34no—
93#5622—34no—
94D3×#117—32no—
95D3×#117—32no—
96#5519—32no—
97#5519—32no—
98C2×#892—32no—
99#5500—32no—
100C22×D32C2311yescharacteristic
101C2×C32×Q8C2312yes—
102C2×C4×C3⋊D3C2311yescharacteristic
103C2×C4×C3⋊D3C2311yescharacteristic
104C2×C4×C3⋊D3C2311yescharacteristic
105C2×#634C2312yes—
106C2×C3×C4×D3C2314yes—
107C2×C3×C4×D3C2312yes—
108C2×C3×Dic6C2314yes—
109C2×#627C2312yes—
110C2×#627C2314yes—
111C2×#627C2312yes—
112C2×#624C2311yescharacteristic
113C2×#624C2311yescharacteristic
114C2×#624C2311yescharacteristic
115C2×D3×Dic3C2314yes—
116C2×D3×Dic3C2312yes—
117C4×D32Q818yescomplemented
118C32×C4⋊C4C2312yes—
119C32×C4⋊C4C2312yes—
120C32×C42C2311yescharacteristic
121#3752C2314yes—
122C4⋊(C3⋊Dic3)C2312yes—
123C4⋊(C3⋊Dic3)C2312yes—
124C4⋊(C3⋊Dic3)C2314yes—
125#3750C2314yes—
126C4×C3⋊Dic3C2311yescharacteristic
127C4×C3⋊Dic3C2311yescharacteristic
128C4×C3⋊Dic3C2311yescharacteristic
129C4×C3⋊Dic3C2314yes—
130C3×(C2×D3)⋊C4C2314yes—
131C3×(C2×D3)⋊C4C2312yes—
132C3×(C2×D3)⋊C4C2312yes—
133C3×C4⋊Dic3C2312yes—
134C3×C4⋊Dic3C2314yes—
135C3×C4⋊Dic3C2312yes—
136C3×Dic3⋊C4C2314yes—
137C3×Dic3⋊C4C2312yes—
138C3×Dic3⋊C4C2314yes—
139C3×Dic3⋊C4C2314yes—
140C3×Dic3⋊C4C2314yes—
141C3×Dic3⋊C4C2312yes—
142C3×Dic3⋊C4C2314yes—
143C3×C4×Dic3C2312yes—
144C3×C4×Dic3C2314yes—
145#3724C2314yes—
146#3724C2312yes—
147#3724C2312yes—
148Dic3⋊Dic3C2314yes—
149Dic3⋊Dic3C2312yes—
150Dic3⋊Dic3C2314yes—
151Dic3⋊Dic3C2314yes—
152Dic3⋊Dic3C2312yes—
153#3722C2314yes—
154(C2×D3)⋊Dic3C2314yes—
155(C2×D3)⋊Dic3C2312yes—
156(C2×D3)⋊Dic3C2312yes—
157Dic32C2314yes—
158Dic32C2314yes—
159Dic32C2312yes—
160#3458—91noSylow
161C22×C4×D3—32no—
162C3×C4⋊Q8—21no—
163C3×C4⋊Q8—34no—
164C3×C4⋊Q8—32no—
165C3×C4⋊Q8C2×D312yescomplemented
166C3×#125—34no—
167C3×#125—32no—
168C3×#125—32no—
169C3×C22⋊Q8—34no—
170C3×C22⋊Q8—34no—
171C3×#117—32no—
172C3×#117—32no—
173C2×C3×C4⋊C4—32no—
174#946—34no—
175#946—34no—
176#946—34no—
177#946—62no—
178#946C2×D314yes—
179Q8×Dic3—34no—
180Q8×Dic3—34no—
181Q8×Dic3—62no—
182#944—34no—
183#944C2×D314yescomplemented
184C2×(C2×D3)⋊C4—34no—
185#926—32no—
186#926—32no—
187C2×C4⋊Dic3—32no—
188#924—34no—
189#924—34no—
190C2×C4×Dic3—34no—
191#897—34no—
192#897—34no—
193#897—34no—
194#897—34no—
195#897—62no—
196#896—34no—
197#896—34no—
198#896—34no—
199#896—34no—
200#896—34no—
201#896—34no—
202#896—34no—
203#896C2×D314yes—
204#892—32no—
205#892—32no—
206#892—32no—
207#892—32no—
208#892—34no—
209#892—32no—
210#892—32no—
211#892—32no—
212#892—34no—
213#892—62no—
214#892C2×D312yes—
215D3×C4⋊C4—32no—
216D3×C4⋊C4—32no—
217D3×C4⋊C4—32no—
218D3×C4⋊C4C2×D312yes—
219#890—32no—
220#890—32no—
221#890—34no—
222#890—34no—
223#890—32no—
224#890—62no—
225#890C2×D312yescomplemented
226#889—34no—
227#889—34no—
228#889—34no—
229#889C2×D314yescomplemented
230#888—34no—
231#888—32no—
232#888—32no—
233#888—34no—
234#888—34no—
235#888—32no—
236#888—34no—
237#888C2×D312yescomplemented
238#887—34no—
239#887—34no—
240#887—34no—
241#887—34no—
242#887—34no—
243#887—34no—
244#887—62no—
245D3×C22⋊C4—34no—
246D3×C22⋊C4—32no—
247D3×C22⋊C4—32no—
248#878—34no—
249#878—34no—
250#878—34no—
251#878—34no—
252#877—32no—
253#877—34no—
254#877—32no—
255#872—32no—
256#872—34no—
257#872C2×D312yes—
258C42×D3—34no—
259C42×D3—32no—
260C42×D3—32no—
261C42×D3—61no—
262#870—32no—
263#870—34no—
264#870C2×D312yescomplemented
265#869—32no—
266#869—32no—
267#869—34no—
268#869—61no—
269C22×C3⋊D3C2411yescharacteristic
270C22×C3×D3C2412yes—
271C2×D32—41no—
272C2×D32—41no—
273C2×D32C2×Q814yes—
274C32×Q8—42no—
275C2×C32×C4C2414yes—
276C2×C32×C4C2411yescharacteristic
277C2×C32×C4C2411yescharacteristic
278C2×C32×C4C2411yescharacteristic
279C2×C3⋊Dic3C2414yes—
280C2×C3⋊Dic3C2411yescharacteristic
281C2×C3⋊Dic3C2411yescharacteristic
282C2×C3⋊Dic3C2411yescharacteristic
283C4×C3⋊D3—41no—
284C4×C3⋊D3—41no—
285C4×C3⋊D3C2×Q814yes—
286#634—42no—
287C2×C3×Dic3C2414yes—
288C2×C3×Dic3C2412yes—
289C2×C3×Dic3C2412yes—
290C2×C3×Dic3C2414yes—
291C2×C3×Dic3C2412yes—
292C3×C4×D3—44no—
293C3×C4×D3C2×Q818yes—
294C3×Dic6—44no—
295#627—42no—
296#627—44no—
297#627—42no—
298#624—41no—
299#624—41no—
300#624C2×Q814yes—
301D3×Dic3—44no—
302D3×Dic3C2×Q818yes—
303#544—32no—
304#544—92no—
305#544—92no—
306#544—92no—
307#544—92no—
308#544—92no—
309#543—92no—
310#543—92no—
311#533—94no—
312#533—94no—
313#533—91no—
314#533—92no—
315#533—91no—
316C2×#117—92no—
317C2×#117—91no—
318C23×D3—32no—
319C2×C3×Q8—22no—
320C2×C3×Q8—34no—
321C2×C3×Q8C22×D314yes—
322C22×C3×C4—32no—
323C22×C3×C4—34no—
324C22×Dic3—32no—
325C22×Dic3—34no—
326C2×C4×D3—32no—
327C2×C4×D3—32no—
328C2×C4×D3—32no—
329C2×C4×D3—316no—
330C2×C4×D3—34no—
331C2×C4×D3—32no—
332C2×C4×D3—32no—
333C2×C4×D3—32no—
334C2×C4×D3—32no—
335C2×C4×D3—61no—
336C2×C4×D3—61no—
337C2×C4×D3—61no—
338C2×C4×D3C22×D314yes—
339C2×C4×D3C22×D312yes—
340C2×Dic6—34no—
341C2×Dic6—34no—
342C2×Dic6—34no—
343C2×Dic6—34no—
344C2×Dic6—34no—
345C2×Dic6—62no—
346C2×Dic6C22×D314yes—
347C3×C4⋊C4—22no—
348C3×C4⋊C4—22no—
349C3×C4⋊C4—34no—
350C3×C4⋊C4—34no—
351C3×C4⋊C4—34no—
352C3×C4⋊C4—34no—
353C3×C4⋊C4—34no—
354C3×C4⋊C4—32no—
355C3×C4⋊C4—32no—
356C3×C4⋊C4—34no—
357C3×C4⋊C4—32no—
358C3×C4⋊C4—32no—
359C3×C4⋊C4C22×D314yes—
360C3×C4⋊C4C22×D312yes—
361C3×C4⋊C4C22×D312yes—
362C3×C22⋊C4—32no—
363C3×C22⋊C4—34no—
364C3×C22⋊C4—32no—
365C3×C42—21no—
366C3×C42—34no—
367C3×C42—32no—
368C3×C42C22×D312yes—
369#217—32no—
370#217—34no—
371#217—32no—
372(C2×D3)⋊C4—32no—
373(C2×D3)⋊C4—32no—
374(C2×D3)⋊C4—34no—
375(C2×D3)⋊C4—34no—
376(C2×D3)⋊C4—34no—
377(C2×D3)⋊C4—34no—
378(C2×D3)⋊C4—34no—
379(C2×D3)⋊C4—64no—
380(C2×D3)⋊C4C22×D312yes—
381(C2×D3)⋊C4C22×D312yes—
382(C2×D3)⋊C4C22×D314yes—
383C4⋊Dic3—32no—
384C4⋊Dic3—32no—
385C4⋊Dic3—34no—
386C4⋊Dic3—34no—
387C4⋊Dic3—34no—
388C4⋊Dic3—32no—
389C4⋊Dic3—34no—
390C4⋊Dic3—34no—
391C4⋊Dic3—32no—
392C4⋊Dic3—34no—
393C4⋊Dic3—62no—
394C4⋊Dic3—62no—
395C4⋊Dic3—64no—
396C4⋊Dic3C22×D312yes—
397C4⋊Dic3C22×D314yes—
398C4⋊Dic3C22×D312yes—
399Dic3⋊C4—34no—
400Dic3⋊C4—34no—
401Dic3⋊C4—34no—
402Dic3⋊C4—34no—
403Dic3⋊C4—34no—
404Dic3⋊C4—34no—
405Dic3⋊C4—32no—
406Dic3⋊C4—34no—
407Dic3⋊C4—32no—
408Dic3⋊C4—34no—
409Dic3⋊C4—34no—
410Dic3⋊C4—64no—
411Dic3⋊C4C22×D314yes—
412Dic3⋊C4C22×D314yes—
413Dic3⋊C4C22×D314yes—
414Dic3⋊C4C22×D314yes—
415Dic3⋊C4C22×D312yes—
416Dic3⋊C4C22×D312yes—
417Dic3⋊C4C22×D314yes—
418C4×Dic3—32no—
419C4×Dic3—32no—
420C4×Dic3—34no—
421C4×Dic3—32no—
422C4×Dic3—34no—
423C4×Dic3—34no—
424C4×Dic3—34no—
425C4×Dic3—32no—
426C4×Dic3—32no—
427C4×Dic3—34no—
428C4×Dic3—34no—
429C4×Dic3—61no—
430C4×Dic3—61no—
431C4×Dic3—61no—
432C4×Dic3—64no—
433C4×Dic3C22×D312yes—
434C4×Dic3C22×D314yes—
435C22×C32C2511yescharacteristic
436C2×C3⋊D3—21no—
437C2×C3⋊D3—21no—
438C2×C3⋊D3C22×Q812yes—
439C2×C3×D3—22no—
440C2×C3×D3—22no—
441C2×C3×D3C22×Q814yes—
442D32—44no—
443C32×C4—21no—
444C32×C4—21no—
445C32×C4—24no—
446C32×C4C22×Q812yes—
447C3⋊Dic3—24no—
448C3⋊Dic3—21no—
449C3⋊Dic3—21no—
450C3⋊Dic3C22×Q812yes—
451C3×Dic3—24no—
452C3×Dic3—22no—
453C3×Dic3—22no—
454C3×Dic3—24no—
455C3×Dic3C22×Q814yes—
456C23×C4—91no—
457C4⋊Q8—34no—
458C4⋊Q8—32no—
459C4⋊Q8—92no—
460C4⋊Q8—94no—
461C4⋊Q8—94no—
462C4⋊Q8—91no—
463C4⋊Q8—91no—
464C4⋊Q8—94no—
465C4⋊Q8—91no—
466C4⋊Q8D3211yescharacteristic, complemented
467#125—34no—
468#125—32no—
469#125—32no—
470#125—94no—
471#125—92no—
472#125—94no—
473#125—94no—
474#125—92no—
475C22⋊Q8—34no—
476C22⋊Q8—34no—
477C22⋊Q8—94no—
478C22⋊Q8—94no—
479C22⋊Q8—94no—
480C22⋊Q8—94no—
481C22⋊Q8—92no—
482C22⋊Q8—92no—
483C22⋊Q8—94no—
484C22⋊Q8—94no—
485C22⋊Q8—94no—
486C22⋊Q8—94no—
487C22⋊Q8—92no—
488C22⋊Q8—92no—
489C4×Q8—92no—
490C4×Q8—94no—
491C4×Q8—92no—
492C4×Q8—94no—
493C4×Q8—92no—
494C4×Q8—92no—
495#117—32no—
496#117—32no—
497#117—94no—
498#117—92no—
499#117—94no—
500#117—92no—
501#117—92no—
502#117—92no—
503#117—92no—
504#117—92no—
505C2×C4⋊C4—32no—
506C2×C4⋊C4—91no—
507C2×C4⋊C4—91no—
508C2×C4⋊C4—92no—
509C2×C22⋊C4—91no—
510C2×C22⋊C4—91no—
511C2×C22⋊C4—94no—
512C2×C42—91no—
513C2×C42—94no—
514C2×C42—91no—
515C23×C3—32no—
516C22×D3—32no—
517C22×D3—38no—
518C22×D3—61no—
519C22×D3—122no—
520C22×D3—122no—
521C22×D3C23×D312yes—
522C3×Q8—44no—
523C3×Q8—44no—
524C3×Q8—124no—
525C2×C3×C4—21no—
526C2×C3×C4—21no—
527C2×C3×C4—21no—
528C2×C3×C4—24no—
529C2×C3×C4—32no—
530C2×C3×C4—38no—
531C2×C3×C4—34no—
532C2×C3×C4—32no—
533C2×C3×C4—32no—
534C2×C3×C4—34no—
535C2×C3×C4—124no—
536C2×C3×C4C23×D314yes—
537C2×C3×C4C23×D314yes—
538C2×C3×C4C23×D312yes—
539C2×C3×C4C23×D312yes—
540C2×C3×C4C23×D312yes—
541C2×Dic3—32no—
542C2×Dic3—38no—
543C2×Dic3—32no—
544C2×Dic3—34no—
545C2×Dic3—34no—
546C2×Dic3—32no—
547C2×Dic3—61no—
548C2×Dic3—61no—
549C2×Dic3—61no—
550C2×Dic3—64no—
551C2×Dic3—124no—
552C2×Dic3C23×D314yes—
553C2×Dic3C23×D312yes—
554C2×Dic3C23×D314yes—
555C2×Dic3C23×D312yes—
556C2×Dic3C23×D312yes—
557C4×D3—38no—
558C4×D3—38no—
559C4×D3—38no—
560C4×D3—44no—
561C4×D3—64no—
562C4×D3—122no—
563C4×D3—122no—
564C4×D3—122no—
565C4×D3—122no—
566C4×D3—124no—
567C4×D3—122no—
568C4×D3—122no—
569C4×D3D3×Q818yes—
570Dic6—44no—
571Dic6—124no—
572Dic6—124no—
573Dic6—124no—
574Dic6—124no—
575Dic6—124no—
576Dic6—124no—
577C2×C32C23×Q811yescharacteristic
578C2×C32#58511yescharacteristic
579C2×C32#58511yescharacteristic
580C3⋊D3—22no—
581C3×D3—24no—
582C24—91no—
583C2×Q8—34no—
584C2×Q8—94no—
585C2×Q8—92no—
586C2×Q8—92no—
587C2×Q8—92no—
588C2×Q8C2×D3212yes—
589C22×C4—32no—
590C22×C4—34no—
591C22×C4—91no—
592C22×C4—98no—
593C22×C4—91no—
594C22×C4—91no—
595C22×C4—92no—
596C22×C4—94no—
597C22×C4—91no—
598C22×C4—91no—
599C22×C4—91no—
600C4⋊C4—34no—
601C4⋊C4—32no—
602C4⋊C4—32no—
603C4⋊C4—32no—
604C4⋊C4—32no—
605C4⋊C4—34no—
606C4⋊C4—34no—
607C4⋊C4—34no—
608C4⋊C4—34no—
609C4⋊C4—34no—
610C4⋊C4—92no—
611C4⋊C4—94no—
612C4⋊C4—92no—
613C4⋊C4—92no—
614C4⋊C4—94no—
615C4⋊C4—92no—
616C4⋊C4—94no—
617C4⋊C4—94no—
618C4⋊C4—92no—
619C4⋊C4—94no—
620C4⋊C4—94no—
621C4⋊C4—92no—
622C4⋊C4C2×D3212yes—
623C4⋊C4C2×D3212yes—
624C22⋊C4—34no—
625C22⋊C4—32no—
626C22⋊C4—32no—
627C22⋊C4—94no—
628C22⋊C4—92no—
629C22⋊C4—92no—
630C22⋊C4—94no—
631C22⋊C4—94no—
632C42—34no—
633C42—32no—
634C42—92no—
635C42—94no—
636C42—94no—
637C42—94no—
638C42—91no—
639C42—91no—
640C42—91no—
641C42C2×D3211yescharacteristic
642C22×C3—21no—
643C22×C3—34no—
644C22×C3—62no—
645C22×C3—62no—
646C22×C3C24×D312yes—
647C2×D3—22no—
648C2×D3—22no—
649C2×D3—34no—
650C2×D3—62no—
651C2×D3—62no—
652C2×D3—62no—
653C2×D3—121no—
654C2×D3—121no—
655C2×D3—128no—
656C2×D3C2×D3×Q814yes—
657C3×C4—22no—
658C3×C4—22no—
659C3×C4—24no—
660C3×C4—24no—
661C3×C4—22no—
662C3×C4—22no—
663C3×C4—22no—
664C3×C4—34no—
665C3×C4—44no—
666C3×C4—64no—
667C3×C4—62no—
668C3×C4—62no—
669C3×C4—64no—
670C3×C4C2×D3×Q814yes—
671Dic3—22no—
672Dic3—24no—
673Dic3—22no—
674Dic3—24no—
675Dic3—34no—
676Dic3—62no—
677Dic3—62no—
678Dic3—62no—
679Dic3—64no—
680Dic3—64no—
681Dic3—124no—
682Dic3—121no—
683Dic3—121no—
684Dic3C2×D3×Q814yes—
685C32#345811yescharacteristic, complemented, Sylow
686C23—32no—
687C23—94no—
688C23—91no—
689C23—361no—
690C23—361no—
691Q8—42no—
692Q8—124no—
693Q8—362no—
694Q8—362no—
695Q8—364no—
696Q8—362no—
697C2×C4—32no—
698C2×C4—38no—
699C2×C4—34no—
700C2×C4—32no—
701C2×C4—32no—
702C2×C4—34no—
703C2×C4—94no—
704C2×C4—98no—
705C2×C4—91no—
706C2×C4—94no—
707C2×C4—91no—
708C2×C4—94no—
709C2×C4—91no—
710C2×C4—124no—
711C2×C4—361no—
712C2×C4—361no—
713C2×C4—361no—
714C2×C4—361no—
715C2×C4—364no—
716C2×C4C22×D3214yes—
717C2×C4C22×D3211yescharacteristic
718C2×C4C22×D3211yescharacteristic
719C2×C4C22×D3211yescharacteristic
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—21no—
723C2×C3—64no—
724C2×C3C22×D3×Q812yes—
725C2×C3#596612yes—
726C2×C3#596812yes—
727D3—24no—
728D3—64no—
729D3—122no—
730C22—34no—
731C22—62no—
732C22—62no—
733C22—92no—
734C22—181no—
735C22—181no—
736C22—364no—
737C22C23×D3211yescharacteristic
738C4—24no—
739C4—21no—
740C4—21no—
741C4—34no—
742C4—64no—
743C4—62no—
744C4—62no—
745C4—64no—
746C4—92no—
747C4—181no—
748C4—181no—
749C4—184no—
750C4D32×Q812yes—
751C3—21no—
752C3#8658112yescomplemented
753C2—64no—
754C2—182no—
755C2#1059667911yescharacteristic
756C2C2×D32×Q811yescharacteristic
757C2#1059668911yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4⋊Q8C22
prime radicalC22×D32C23
hypercenterC4⋊Q8D32
hypocenterC32#3458
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4⋊Q8

Complements

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

NH ≅ G/Ntype
1. #10596199C2semidirect
2. C3×#5729C2semidirect
4. #10595375C2semidirect
5. #10595368C2semidirect
8. #10594505C2semidirect
9. #10594448C2semidirect
10. #10594401C2semidirect
11. #10594388C2semidirect
12. #10594342C2semidirect
14. #10593959C2semidirect
15. #10593854C2semidirect
18. C32×C4⋊Q8C22semidirect
20. Q8×C3⋊Dic3C22semidirect
23. #64099C22semidirect
24. #64096C22semidirect
26. #64078C22semidirect
28. C3×#944C22semidirect
32. C3×#890C22semidirect
33. C3×#889C22semidirect
34. C3×#888C22semidirect
36. C3×#870C22semidirect
40. #63919C22semidirect
41. #63919C22semidirect
42. #63918C22semidirect
43. #63918C22semidirect
58. #63869C22semidirect
59. #63867C22semidirect
66. #63845C22semidirect
67. #63845C22semidirect
68. #63843C22semidirect
70. #63840C22semidirect
71. #63839C22semidirect
72. #63838C22semidirect
73. #63838C22semidirect
74. #63838C22semidirect
79. #5729D3semidirect
117. C4×D32Q8semidirect
165. C3×C4⋊Q8C2×D3semidirect
183. #944C2×D3semidirect
225. #890C2×D3semidirect
229. #889C2×D3semidirect
237. #888C2×D3semidirect
264. #870C2×D3semidirect
466. C4⋊Q8D32semidirect
685. C32#3458semidirect
752. C3#86581semidirect

Maximal subgroups

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

subgroupindex
#105961992
C3×#57292
#105954342
#105953752
#105953682
#105946362
D3×#8922
#105945052
#105944482
#105944012
#105943882
#105943422
#105939922
#105939592
#105938542
#865813