Finite Group Databasebeta

← #11903899

Subgroups — #11903899

Order 1152.

2324 conjugacy classes of subgroups.

The subgroup lattice has 769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596040C211yesmaximal, characteristic, complemented
2C3×#5576C211yesmaximal, characteristic, complemented
3C3×C4×#239C211yesmaximal, characteristic, complemented
4#10595412C211yesmaximal, characteristic, complemented
5#10595409C211yesmaximal, characteristic, complemented
6Dic3×#239C211yesmaximal, characteristic, complemented
7D3×Q8×Dic3C211yesmaximal, characteristic, complemented
8#10594576C213yesmaximal, complemented
9#10594444C213yesmaximal, complemented
10#10594433C213yesmaximal, complemented
11#10594367C213yesmaximal, complemented
12#10593981C213yesmaximal, complemented
13#10593923C213yesmaximal, complemented
14#10593921C213yesmaximal, complemented
15C4×#3795C213yesmaximal, complemented
16#86711—31nomaximal
17#85842—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C2×C3×#239C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21C2×#3795C2213yes—
22C32×C4×Q8C2211yescharacteristic
23Q8×C3⋊Dic3C2211yescharacteristic
24Q8×C3⋊Dic3C2211yescharacteristic
25#64099C2213yes—
26#64097C2213yes—
27#64079C2213yes—
28C4×#634C2213yes—
29C3×Q8×Dic3C2211yescharacteristic
30C3×#897C2213yes—
31C3×#895C2213yes—
32C3×#893C2213yes—
33C3×#892C2213yes—
34C3×#875C2213yes—
35C3×C4×D12C2213yes—
36C3×C4×D12C2213yes—
37C3×C42×D3C2213yes—
38#63914C2213yes—
39#63913C2216yes—
40#63908C2213yes—
41#63908C2213yes—
42#63908C2213yes—
43#63905C2216yes—
44C4×#625C2213yes—
45C4×#625C2213yes—
46#63898C2213yes—
47Dic3×D12C2213yes—
48Dic3×D12C2213yes—
49#63891C2216yes—
50D3×C4⋊Dic3C2213yes—
51#63885C2216yes—
52#63879C2216yes—
53#63879C2213yes—
54#63879C2213yes—
55#63877C2211yescharacteristic
56#63877C2213yes—
57C4×D3×Dic3C2213yes—
58C4×D3×Dic3C2213yes—
59#63863C2213yes—
60#63859C2216yes—
61#63858C2216yes—
62#63856C2213yes—
63#63844C2213yes—
64#63843C2213yes—
65Dic3×Dic6C2213yes—
66#63841C2213yes—
67#63841C2213yes—
68C3×#548—31no—
69C3×C4×#41—31no—
70#5834—31no—
71#5834—31no—
72#5831—31no—
73Dic3×#41—31no—
74#5817—31no—
75C2×Q8×Dic3—31no—
76#5681—33no—
77#5680—33no—
78#5641—33no—
79#5624—33no—
80#5618—33no—
81#5596—33no—
82#5576D311yescharacteristic, complemented
83C4×#239—31no—
84C4×#239D311yescharacteristic, complemented
85C4×D3×Q8—31no—
86#5569—31no—
87#5569—31no—
88#5569—61no—
89#5565—33no—
90#5559—33no—
91#5558—33no—
92#5557—33no—
93#5548—33no—
94C4×#237—33no—
95#5533—33no—
96#5530—33no—
97#5479—33no—
98C4×#235—33no—
99C2×C32×Q8C2311yescharacteristic
100C2×#634C2313yes—
101C3×#239—24no—
102C3×#239—24no—
103C3×D3×Q8—24no—
104C2×C3×D12C2313yes—
105C2×C3×D12C2313yes—
106C2×C3×D12C2313yes—
107C2×C3×C4×D3C2313yes—
108C2×C3×C4×D3C2313yes—
109C2×C3×C4×D3C2313yes—
110C2×C3×C4×D3C2313yes—
111C2×C3×C4×D3C2313yes—
112C2×C3×Dic6C2313yes—
113C2×#625C2313yes—
114C2×#625C2313yes—
115C2×#625C2316yes—
116C2×D3×Dic3C2313yes—
117C2×D3×Dic3C2313yes—
118C2×D3×Dic3C2313yes—
119C2×D3×Dic3C2311yescharacteristic
120#3795—212no—
121C32×C4⋊C4C2313yes—
122C32×C42C2313yes—
123C4⋊(C3⋊Dic3)C2313yes—
124C4⋊(C3⋊Dic3)C2313yes—
125C4⋊(C3⋊Dic3)C2313yes—
126#3750C2311yescharacteristic
127#3750C2313yes—
128#3750C2316yes—
129C4×C3⋊Dic3C2313yes—
130C4×C3⋊Dic3C2313yes—
131C3×(C2×D3)⋊C4C2316yes—
132C3×(C2×D3)⋊C4C2316yes—
133C3×(C2×D3)⋊C4C2311yescharacteristic
134C3×(C2×D3)⋊C4C2313yes—
135C3×C4⋊Dic3C2313yes—
136C3×C4⋊Dic3C2313yes—
137C3×C4×Dic3C2313yes—
138C3×C4×Dic3C2313yes—
139C3×C4×Dic3C2311yescharacteristic
140#3724C2311yescharacteristic
141#3724C2313yes—
142Dic3⋊Dic3C2316yes—
143(C2×D3)⋊Dic3C2313yes—
144(C2×D3)⋊Dic3C2316yes—
145(C2×D3)⋊Dic3C2313yes—
146(C2×D3)⋊Dic3C2316yes—
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2311yescharacteristic
149Dic32C2311yescharacteristic
150Dic32C2313yes—
151Dic32C2313yes—
152Dic32C2313yes—
153#3480—91noSylow
154C2×C3×#41—31no—
155C2×C3×#41—31no—
156C22×C3×Q8—31no—
157C2×#239C2×D311yescharacteristic
158C2×#239C2×D311yescharacteristic
159C2×D3×Q8C2×D311yescharacteristic
160C2×#237—33no—
161C2×#235—33no—
162C3×#124—33no—
163C3×C22⋊Q8—33no—
164C3×#121—33no—
165C3×C4×Q8—21no—
166C3×C4×Q8—31no—
167C3×C4×Q8C2×D311yescharacteristic
168C3×C4×Q8C2×D311yescharacteristic
169C3×C4×D4—33no—
170C3×C4×D4—33no—
171C3×C4×D4—33no—
172C3×#117—33no—
173C2×C3×C42—33no—
174#947—33no—
175#946—33no—
176Q8×Dic3—31no—
177Q8×Dic3—31no—
178Q8×Dic3—31no—
179Q8×Dic3—31no—
180Q8×Dic3—33no—
181Q8×Dic3—33no—
182Q8×Dic3—61no—
183Q8×Dic3—61no—
184Q8×Dic3C2×D311yescharacteristic
185#940—33no—
186#940—33no—
187#939—36no—
188#938—33no—
189#938—33no—
190#938—33no—
191#936—33no—
192D4×Dic3—33no—
193D4×Dic3—33no—
194D4×Dic3—33no—
195#930—33no—
196#930—33no—
197#930—33no—
198#929—36no—
199C4×#67—33no—
200C4×#67—33no—
201C4×#67—33no—
202C4×#67—33no—
203C4×#67—33no—
204C4×#67—33no—
205C4×#67—36no—
206#926—33no—
207#926—33no—
208C2×C4⋊Dic3—33no—
209#924—33no—
210C2×C4×Dic3—33no—
211C2×C4×Dic3—33no—
212#898—36no—
213#897C2×D313yes—
214#895C2×D313yes—
215#893—33no—
216#893C2×D313yes—
217#892—33no—
218#892—33no—
219#892C2×D313yes—
220D3×C4⋊C4—33no—
221#890—33no—
222#890—33no—
223#890—63no—
224#888—33no—
225#888—33no—
226#888—63no—
227#887—33no—
228#887—33no—
229#886—36no—
230#885—36no—
231#885—36no—
232#884—36no—
233#883—36no—
234#883—36no—
235#67⋊C4—36no—
236#67⋊C4—33no—
237#67⋊C4—33no—
238#879—36no—
239#879—36no—
240#877—33no—
241#877—31no—
242#876—36no—
243#875C2×D313yes—
244C4×D12—33no—
245C4×D12—33no—
246C4×D12C2×D313yes—
247C4×D12C2×D313yes—
248#872—31no—
249#872—33no—
250C42×D3—33no—
251C42×D3—33no—
252C42×D3C2×D313yes—
253#870—33no—
254#870—33no—
255#870—63no—
256C4×Dic6—33no—
257C4×Dic6—33no—
258C4×Dic6—33no—
259C4×Dic6—33no—
260C4×Dic6—63no—
261C22×C3×D3C2413yes—
262C22×C3×D3C2413yes—
263C22×C3×D3C2411yescharacteristic
264C32×Q8#4114yescomplemented
265C2×C32×C4C2413yes—
266C2×C32×C4C2411yescharacteristic
267C2×C32×C4C2413yes—
268C2×C3⋊Dic3C2413yes—
269C2×C3⋊Dic3C2411yescharacteristic
270C2×C3⋊Dic3C2413yes—
271C2×C3⋊Dic3C2411yescharacteristic
272#634—26no—
273C2×C3×Dic3C2411yescharacteristic
274C2×C3×Dic3C2413yes—
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2411yescharacteristic
277C2×C3×Dic3C2411yescharacteristic
278C3×D12—26no—
279C3×D12—26no—
280C3×D12—26no—
281C3×C4×D3—26no—
282C3×C4×D3—26no—
283C3×C4×D3—26no—
284C3×C4×D3—26no—
285C3×C4×D3—43no—
286C3×Dic6—26no—
287#625—26no—
288#625—26no—
289#625—46no—
290D3×Dic3—26no—
291D3×Dic3—43no—
292D3×Dic3—43no—
293D3×Dic3#4114yescomplemented
294#559—93no—
295#557—91no—
296#556—93no—
297#553—93no—
298#553—93no—
299#550—91no—
300#548—31no—
301#548—91no—
302#532—93no—
303#529—93no—
304#529—93no—
305C4×#41—31no—
306C4×#41—93no—
307C4×#41—91no—
308C2×C4×Q8—91no—
309C3×#41—64no—
310C3×#41—64no—
311C2×C3×Q8—21no—
312C2×C3×Q8—33no—
313C2×C3×Q8—64no—
314C2×C3×Q8C22×D311yescharacteristic
315C2×C3×Q8C22×D311yescharacteristic
316C2×C3×D4—33no—
317C2×C3×D4—33no—
318C2×C3×D4—33no—
319C22×C3×C4—33no—
320C22×C3×C4—33no—
321C22×C3×C4—33no—
322C22×C3×C4—33no—
323C22×C3×C4—33no—
324C2×#67—33no—
325C2×#67—33no—
326C2×#67—33no—
327C2×#67—33no—
328C2×#67—36no—
329C2×#67—36no—
330C22×Dic3—31no—
331C22×Dic3—33no—
332C22×Dic3—33no—
333C22×Dic3—33no—
334#239—24no—
335#239—24no—
336D3×Q8—24no—
337#237—612no—
338#235—612no—
339C2×D12C22×D313yes—
340C2×D12C22×D313yes—
341C2×D12C22×D313yes—
342C2×C4×D3—31no—
343C2×C4×D3—33no—
344C2×C4×D3—33no—
345C2×C4×D3—33no—
346C2×C4×D3C22×D313yes—
347C2×C4×D3C22×D313yes—
348C2×C4×D3C22×D313yes—
349C2×C4×D3C22×D313yes—
350C2×C4×D3C22×D313yes—
351C2×Dic6—33no—
352C2×Dic6—33no—
353C2×Dic6—63no—
354C2×Dic6C22×D313yes—
355C3×C4⋊C4—23no—
356C3×C4⋊C4—33no—
357C3×C4⋊C4—33no—
358C3×C4⋊C4C22×D313yes—
359C3×C4⋊C4C22×D313yes—
360C3×C22⋊C4—31no—
361C3×C22⋊C4—33no—
362C3×C22⋊C4—36no—
363C3×C22⋊C4—36no—
364C3×C42—23no—
365C3×C42—33no—
366C3×C42—33no—
367C3×C42—31no—
368C3×C42C22×D313yes—
369C3×C42C22×D313yes—
370#217—33no—
371#217—31no—
372#217—33no—
373#217—36no—
374#217—36no—
375#217—33no—
376(C2×D3)⋊C4—31no—
377(C2×D3)⋊C4—33no—
378(C2×D3)⋊C4—36no—
379(C2×D3)⋊C4—36no—
380(C2×D3)⋊C4—33no—
381(C2×D3)⋊C4—33no—
382(C2×D3)⋊C4C22×D311yescharacteristic
383(C2×D3)⋊C4C22×D313yes—
384(C2×D3)⋊C4C22×D316yes—
385(C2×D3)⋊C4C22×D316yes—
386C4⋊Dic3—33no—
387C4⋊Dic3—33no—
388C4⋊Dic3—33no—
389C4⋊Dic3—33no—
390C4⋊Dic3—33no—
391C4⋊Dic3—33no—
392C4⋊Dic3—36no—
393C4⋊Dic3—63no—
394C4⋊Dic3—63no—
395C4⋊Dic3—63no—
396C4⋊Dic3C22×D313yes—
397C4⋊Dic3C22×D313yes—
398Dic3⋊C4—31no—
399Dic3⋊C4—31no—
400Dic3⋊C4—33no—
401Dic3⋊C4—33no—
402Dic3⋊C4—36no—
403Dic3⋊C4—36no—
404Dic3⋊C4—31no—
405Dic3⋊C4—33no—
406Dic3⋊C4—36no—
407Dic3⋊C4—33no—
408Dic3⋊C4—31no—
409Dic3⋊C4—61no—
410Dic3⋊C4—63no—
411Dic3⋊C4—66no—
412C4×Dic3—33no—
413C4×Dic3—33no—
414C4×Dic3—33no—
415C4×Dic3—33no—
416C4×Dic3—33no—
417C4×Dic3—33no—
418C4×Dic3—33no—
419C4×Dic3—31no—
420C4×Dic3—33no—
421C4×Dic3—31no—
422C4×Dic3—33no—
423C4×Dic3—33no—
424C4×Dic3—63no—
425C4×Dic3—63no—
426C4×Dic3C22×D311yescharacteristic
427C4×Dic3C22×D313yes—
428C4×Dic3C22×D313yes—
429C22×C32C2511yescharacteristic
430C2×C3×D3—21no—
431C2×C3×D3—21no—
432C2×C3×D3—23no—
433C2×C3×D3—23no—
434C2×C3×D3—23no—
435C2×C3×D3—23no—
436C2×C3×D3—23no—
437C2×C3×D3—23no—
438C2×C3×D3C2×#4112yes—
439C32×C4—23no—
440C32×C4—21no—
441C32×C4C2×#4116yes—
442C3⋊Dic3—23no—
443C3⋊Dic3—21no—
444C3⋊Dic3—23no—
445C3⋊Dic3C2×#4112yes—
446C3×Dic3—23no—
447C3×Dic3—21no—
448C3×Dic3—21no—
449C3×Dic3—23no—
450C3×Dic3C2×#4112yes—
451C2×#41—31no—
452C2×#41—31no—
453C2×#41—93no—
454C22×Q8—31no—
455C4⋊Q8—93no—
456#127—93no—
457#126—96no—
458#126—96no—
459#125—93no—
460#125—93no—
461#124—33no—
462#124—96no—
463#124—93no—
464#123—96no—
465#123—96no—
466C22⋊Q8—33no—
467C22⋊Q8—93no—
468#121—33no—
469#121—96no—
470#121—93no—
471#121—93no—
472#121—93no—
473C4×Q8—31no—
474C4×Q8—93no—
475C4×Q8—93no—
476C4×Q8—93no—
477C4×Q8—91no—
478C4×Q8—91no—
479C4×Q8—93no—
480C4×Q8D3211yescharacteristic
481C4×D4—33no—
482C4×D4—33no—
483C4×D4—33no—
484C4×D4—93no—
485C4×D4—93no—
486C4×D4—93no—
487C4×D4—93no—
488C4×D4—96no—
489C4×D4—93no—
490C4×D4—93no—
491C4×D4—93no—
492#117—33no—
493#117—91no—
494#117—93no—
495#117—93no—
496#117—93no—
497C2×C4⋊C4—93no—
498C2×C42—33no—
499C2×C42—93no—
500C2×C42—93no—
501C23×C3—31no—
502C23×C3—33no—
503C23×C3—33no—
504C22×D3C23×D313yes—
505C22×D3C23×D313yes—
506C22×D3C23×D311yescharacteristic
507C3×Q8—24no—
508C3×Q8—66no—
509C3×Q8#23514yescomplemented
510C3×Q8#23714yescomplemented
511C3×D4—66no—
512C3×D4—66no—
513C3×D4—66no—
514C2×C3×C4—23no—
515C2×C3×C4—21no—
516C2×C3×C4—23no—
517C2×C3×C4—31no—
518C2×C3×C4—31no—
519C2×C3×C4—33no—
520C2×C3×C4—33no—
521C2×C3×C4—31no—
522C2×C3×C4—66no—
523C2×C3×C4—66no—
524C2×C3×C4—66no—
525C2×C3×C4—66no—
526C2×C3×C4—123no—
527C2×C3×C4C23×D311yescharacteristic
528C2×C3×C4C23×D313yes—
529C2×C3×C4C23×D311yescharacteristic
530C2×C3×C4C23×D313yes—
531C2×C3×C4C23×D313yes—
532C2×C3×C4C23×D313yes—
533#67—66no—
534#67—66no—
535#67—66no—
536#67—66no—
537#67—126no—
538#67—126no—
539C2×Dic3—31no—
540C2×Dic3—31no—
541C2×Dic3—34no—
542C2×Dic3—31no—
543C2×Dic3—31no—
544C2×Dic3—33no—
545C2×Dic3—33no—
546C2×Dic3—33no—
547C2×Dic3—33no—
548C2×Dic3—61no—
549C2×Dic3—61no—
550C2×Dic3—63no—
551C2×Dic3—63no—
552C2×Dic3—66no—
553C2×Dic3—123no—
554C2×Dic3—123no—
555C2×Dic3C23×D311yescharacteristic
556C2×Dic3C23×D313yes—
557C2×Dic3C23×D313yes—
558C2×Dic3C23×D311yescharacteristic
559C2×Dic3C23×D311yescharacteristic
560D12—26no—
561D12—26no—
562D12—26no—
563C4×D3—26no—
564C4×D3—26no—
565C4×D3—26no—
566C4×D3—26no—
567C4×D3—34no—
568C4×D3—43no—
569C4×D3—66no—
570C4×D3—123no—
571C4×D3—123no—
572Dic6—26no—
573Dic6—66no—
574Dic6—66no—
575Dic6—126no—
576C2×C32C22×#4111yescharacteristic
577C2×C32C22×#4111yescharacteristic
578C2×C32#58511yescharacteristic
579C3×D3—22no—
580C3×D3—43no—
581C3×D3—43no—
582#41—64no—
583#41—64no—
584#41—1812no—
585C2×Q8—33no—
586C2×Q8—64no—
587C2×Q8—93no—
588C2×Q8C2×D3211yescharacteristic
589C2×D4—33no—
590C2×D4—33no—
591C2×D4—33no—
592C2×D4—93no—
593C2×D4—93no—
594C2×D4—96no—
595C22×C4—33no—
596C22×C4—33no—
597C22×C4—33no—
598C22×C4—33no—
599C22×C4—33no—
600C22×C4—91no—
601C22×C4—93no—
602C22×C4—93no—
603C22×C4—93no—
604C4⋊C4—33no—
605C4⋊C4—33no—
606C4⋊C4—96no—
607C4⋊C4—91no—
608C4⋊C4—93no—
609C4⋊C4—93no—
610C4⋊C4—91no—
611C4⋊C4—93no—
612C4⋊C4—93no—
613C4⋊C4—93no—
614C4⋊C4—96no—
615C4⋊C4C2×D3213yes—
616C22⋊C4—36no—
617C22⋊C4—31no—
618C22⋊C4—33no—
619C22⋊C4—36no—
620C22⋊C4—91no—
621C22⋊C4—93no—
622C22⋊C4—93no—
623C22⋊C4—96no—
624C22⋊C4—93no—
625C22⋊C4—96no—
626C42—31no—
627C42—33no—
628C42—33no—
629C42—91no—
630C42—93no—
631C42—93no—
632C42—93no—
633C42—93no—
634C42—93no—
635C42C2×D3213yes—
636C22×C3—21no—
637C22×C3—32no—
638C22×C3—61no—
639C22×C3—61no—
640C22×C3—63no—
641C22×C3—63no—
642C22×C3—63no—
643C22×C3—63no—
644C22×C3—63no—
645C22×C3—63no—
646C22×C3C24×D311yescharacteristic
647C22×C3C24×D311yescharacteristic
648C2×D3—21no—
649C2×D3—21no—
650C2×D3—23no—
651C2×D3—23no—
652C2×D3—23no—
653C2×D3—23no—
654C2×D3—23no—
655C2×D3—23no—
656C2×D3D3×#4112yes—
657C3×C4—23no—
658C3×C4—23no—
659C3×C4—21no—
660C3×C4—21no—
661C3×C4—26no—
662C3×C4—32no—
663C3×C4—43no—
664C3×C4—41no—
665C3×C4—61no—
666C3×C4—63no—
667C3×C4—61no—
668C3×C4—63no—
669C3×C4C2×#23516yes—
670C3×C4C2×#23716yes—
671Dic3—21no—
672Dic3—23no—
673Dic3—21no—
674Dic3—23no—
675Dic3—32no—
676Dic3—32no—
677Dic3—62no—
678Dic3—63no—
679Dic3—63no—
680Dic3—61no—
681Dic3—63no—
682Dic3—61no—
683Dic3—63no—
684Dic3—123no—
685Dic3—121no—
686Dic3—123no—
687Dic3D3×#4112yes—
688C32#348011yescharacteristic, complemented, Sylow
689C23—31no—
690C23—33no—
691C23—33no—
692Q8—66no—
693Q8—186no—
694Q8#379514yescomplemented
695D4—66no—
696D4—66no—
697D4—66no—
698D4—186no—
699D4—186no—
700D4—366no—
701C2×C4—31no—
702C2×C4—31no—
703C2×C4—33no—
704C2×C4—31no—
705C2×C4—33no—
706C2×C4—66no—
707C2×C4—66no—
708C2×C4—66no—
709C2×C4—66no—
710C2×C4—94no—
711C2×C4—91no—
712C2×C4—91no—
713C2×C4—93no—
714C2×C4—93no—
715C2×C4—123no—
716C2×C4—186no—
717C2×C4—363no—
718C2×C4—363no—
719C2×C4C22×D3211yescharacteristic
720C2×C4C22×D3213yes—
721C2×C4C22×D3213yes—
722C2×C3—21no—
723C2×C3—21no—
724C2×C3—21no—
725C2×C3—62no—
726C2×C3—123no—
727C2×C3—123no—
728C2×C3C22×#23511yescharacteristic
729C2×C3C22×#23711yescharacteristic
730C2×C3C2×D3×#4111yescharacteristic
731C2×C3C2×D3×#4111yescharacteristic
732C2×C3#596411yescharacteristic
733C2×C3#596811yescharacteristic
734D3—22no—
735D3—43no—
736D3—43no—
737C22—32no—
738C22—61no—
739C22—61no—
740C22—63no—
741C22—63no—
742C22—63no—
743C22—63no—
744C22—63no—
745C22—63no—
746C22C23×D3211yescharacteristic
747C4—21no—
748C4—23no—
749C4—32no—
750C4—61no—
751C4—61no—
752C4—63no—
753C4—63no—
754C4—92no—
755C4—181no—
756C4—183no—
757C4—183no—
758C4C2×#379516yes—
759C3—21no—
760C3#8584211yescharacteristic, complemented
761C3#8671111yescharacteristic, complemented
762C2—62no—
763C2—123no—
764C2—123no—
765C2C22×#379511yescharacteristic
766C2#1059668811yescharacteristic
767C2D32×#4111yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC32×C4×Q8C22
hypercenterC4×Q8D32
hypocenterC32#3480
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. #10596040C2semidirect
2. C3×#5576C2semidirect
3. C3×C4×#239C2semidirect
4. #10595412C2semidirect
5. #10595409C2semidirect
6. Dic3×#239C2semidirect
7. D3×Q8×Dic3C2semidirect
8. #10594576C2semidirect
9. #10594444C2semidirect
10. #10594433C2semidirect
11. #10594367C2semidirect
12. #10593981C2semidirect
13. #10593923C2semidirect
14. #10593921C2semidirect
15. C4×#3795C2semidirect
82. #5576D3semidirect
84. C4×#239D3semidirect
264. C32×Q8#41semidirect
293. D3×Dic3#41semidirect
509. C3×Q8#235semidirect
510. C3×Q8#237semidirect
688. C32#3480semidirect
694. Q8#3795semidirect
760. C3#85842semidirect
761. C3#86711semidirect

Maximal subgroups

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

subgroupindex
#105960402
C3×#55762
C3×C4×#2392
#105954122
#105954092
Dic3×#2392
D3×Q8×Dic32
#105945762
#105944442
#105944332
#105943672
#105939812
#105939232
#105939212
C4×#37952
#867113
#858423