Finite Group Databasebeta

← #11903897

Subgroups — #11903897

Order 1152.

2369 conjugacy classes of subgroups.

The subgroup lattice has 781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596047C211yesmaximal, characteristic, complemented
2C3×C4×#239C211yesmaximal, characteristic, complemented
3C3×#5569C211yesmaximal, characteristic, complemented
4#10595414C211yesmaximal, characteristic, complemented
5#10595410C211yesmaximal, characteristic, complemented
6#10595386C211yesmaximal, characteristic, complemented
7Q8×#624C211yesmaximal, characteristic, complemented
8#10594578C213yesmaximal, complemented
9#10594556C213yesmaximal, complemented
10#10594518C213yesmaximal, complemented
11#10594447C213yesmaximal, complemented
12#10593982C213yesmaximal, complemented
13#10593978C213yesmaximal, complemented
14#10593976C213yesmaximal, complemented
15C4×#3799C213yesmaximal, complemented
16#87016—31nomaximal
17#85842—31nomaximal
18C2×#3832C2211yescharacteristic
19C2×Q8×C3⋊D3C2211yescharacteristic
20C2×C3×#239C2211yescharacteristic
21C2×#3799C2213yes—
22C32×C4×Q8C2211yescharacteristic
23#64106C2213yes—
24#64104C2213yes—
25#64084C2213yes—
26C4×C4⋊(C3⋊D3)C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×Q8×Dic3C2211yescharacteristic
30C3×#893C2213yes—
31C3×#892C2213yes—
32C3×#890C2213yes—
33C3×#888C2213yes—
34C3×C4×D12C2213yes—
35C3×C42×D3C2213yes—
36C3×#870C2213yes—
37C3×C4×Dic6C2213yes—
38#63916C2213yes—
39#63916C2213yes—
40#63911C2213yes—
41#63910C2216yes—
42#63909C2213yes—
43#63907C2216yes—
44#63904C2216yes—
45#63904C2213yes—
46#63904C2213yes—
47C4×#626C2213yes—
48C4×#626C2213yes—
49#63900C2213yes—
50#63894C2213yes—
51#63894C2213yes—
52#63894C2213yes—
53C4×#624C2213yes—
54C4×#624C2213yes—
55#63868C2216yes—
56#63861C2216yes—
57#63860C2213yes—
58#63857C2213yes—
59#63854C2216yes—
60#63850C2216yes—
61#63849C2213yes—
62#63844C2213yes—
63#63844C2213yes—
64Dic3×Dic6C2213yes—
65#63841C2213yes—
66#63836C2211yescharacteristic
67#63836C2213yes—
68C3×#557—31no—
69C3×C4×#41—31no—
70#5834—31no—
71#5831—31no—
72#5732—33no—
73#5725—33no—
74#5695—33no—
75#5695—33no—
76#5691—33no—
77#5691—33no—
78#5585—33no—
79#5577—31no—
80#5576—31no—
81#5576—31no—
82#5576—31no—
83#5576—61no—
84C4×#239—31no—
85C4×#239—31no—
86C4×#239—33no—
87C4×#239D311yescharacteristic, complemented
88C4×D3×Q8—31no—
89C4×D3×Q8—31no—
90#5569D311yescharacteristic, complemented
91#5559—33no—
92#5558—33no—
93#5557—33no—
94#5548—33no—
95#5533—33no—
96#5530—33no—
97#5479—33no—
98C4×#235—33no—
99C2×C32×Q8C2311yescharacteristic
100#3832—24no—
101Q8×C3⋊D3—24no—
102C2×C4⋊(C3⋊D3)C2313yes—
103C2×C4⋊(C3⋊D3)C2313yes—
104C2×C4×C3⋊D3C2313yes—
105C2×C4×C3⋊D3C2313yes—
106C2×#634C2313yes—
107C3×#239—24no—
108C2×C3×D12C2313yes—
109C2×C3×C4×D3C2313yes—
110C2×C3×C4×D3C2313yes—
111C2×C3×C4×D3C2313yes—
112C2×C3×Dic6C2313yes—
113C2×#626C2313yes—
114C2×#626C2313yes—
115C2×#626C2316yes—
116C2×#624C2313yes—
117C2×#624C2313yes—
118C2×#624C2313yes—
119C2×#624C2311yescharacteristic
120#3799—212no—
121C32×C4⋊C4C2313yes—
122C32×C42C2313yes—
123#3752C2311yescharacteristic
124#3752C2313yes—
125#3752C2316yes—
126C4⋊(C3⋊Dic3)C2313yes—
127C3×(C2×D3)⋊C4C2316yes—
128C3×C4⋊Dic3C2313yes—
129C3×C4⋊Dic3C2313yes—
130C3×C4⋊Dic3C2313yes—
131C3×C4⋊Dic3C2313yes—
132C3×Dic3⋊C4C2316yes—
133C3×Dic3⋊C4C2313yes—
134C3×Dic3⋊C4C2311yescharacteristic
135C3×C4×Dic3C2313yes—
136C3×C4×Dic3C2313yes—
137C3×C4×Dic3C2313yes—
138C3×C4×Dic3C2313yes—
139C3×C4×Dic3C2311yescharacteristic
140#3724C2316yes—
141Dic3⋊Dic3C2311yescharacteristic
142Dic3⋊Dic3C2313yes—
143#3722C2313yes—
144#3722C2311yescharacteristic
145#3722C2316yes—
146(C2×D3)⋊Dic3C2313yes—
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2316yes—
149Dic32C2311yescharacteristic
150Dic32C2313yes—
151Dic32C2313yes—
152Dic32C2313yes—
153#3480—91noSylow
154C2×C3×#41—31no—
155C2×#239—31no—
156C2×#239—31no—
157C2×#239—33no—
158C2×#239—61no—
159C2×#239C2×D311yescharacteristic
160C2×D3×Q8—31no—
161C2×D3×Q8—31no—
162C2×D3×Q8—61no—
163C2×#235—33no—
164C3×C4⋊Q8—33no—
165C3×#125—33no—
166C3×#125—33no—
167C3×C4×Q8—21no—
168C3×C4×Q8—31no—
169C3×C4×Q8—31no—
170C3×C4×Q8—31no—
171C3×C4×Q8—33no—
172C3×C4×Q8C2×D311yescharacteristic
173C3×C4×Q8C2×D311yescharacteristic
174C3×C4×D4—33no—
175C3×C4×D4—33no—
176C3×#117—33no—
177C2×C3×C42—33no—
178#947—36no—
179Q8×Dic3—33no—
180Q8×Dic3C2×D311yescharacteristic
181Q8×Dic3C2×D311yescharacteristic
182Q8×Dic3C2×D311yescharacteristic
183#940—33no—
184#938—33no—
185#938—33no—
186#936—33no—
187#930—33no—
188#929—36no—
189C4×#67—33no—
190C4×#67—33no—
191C4×#67—36no—
192C4×#67—33no—
193C4×#67—33no—
194#926—33no—
195#924—33no—
196#898—36no—
197#898—36no—
198#897—33no—
199#897—33no—
200#897—33no—
201#897—63no—
202#895—33no—
203#895—33no—
204#895—33no—
205#895—33no—
206#895—33no—
207#895—36no—
208#895—63no—
209#894—36no—
210#894—36no—
211#893—36no—
212#893—33no—
213#893—33no—
214#893—33no—
215#893—33no—
216#893—33no—
217#893C2×D313yes—
218#892—33no—
219#892—33no—
220#892—33no—
221#892—33no—
222#892—31no—
223#892C2×D313yes—
224D3×C4⋊C4—33no—
225D3×C4⋊C4—33no—
226#890C2×D313yes—
227#888C2×D313yes—
228#887—33no—
229#887—33no—
230#885—36no—
231#884—36no—
232#883—36no—
233#879—36no—
234#876—36no—
235#875—33no—
236#875—33no—
237#875—33no—
238#875—63no—
239#874—33no—
240C4×D12—33no—
241C4×D12—33no—
242C4×D12—33no—
243C4×D12—33no—
244C4×D12—33no—
245C4×D12—33no—
246C4×D12—33no—
247C4×D12—63no—
248C4×D12C2×D313yes—
249#872—31no—
250#872—33no—
251C42×D3—33no—
252C42×D3—33no—
253C42×D3—33no—
254C42×D3—33no—
255C42×D3C2×D313yes—
256#870C2×D313yes—
257C4×Dic6—33no—
258C4×Dic6—33no—
259C4×Dic6—33no—
260C4×Dic6C2×D313yes—
261C22×C3⋊D3C2413yes—
262C22×C3⋊D3C2411yescharacteristic
263C22×C3×D3C2413yes—
264C32×Q8#4114yescomplemented
265C2×C32×C4C2411yescharacteristic
266C2×C32×C4C2413yes—
267C2×C32×C4C2413yes—
268C2×C3⋊Dic3C2411yescharacteristic
269C2×C3⋊Dic3C2413yes—
270C4⋊(C3⋊D3)—26no—
271C4⋊(C3⋊D3)—26no—
272C4×C3⋊D3—26no—
273C4×C3⋊D3—26no—
274#634—26no—
275C2×C3×Dic3C2413yes—
276C2×C3×Dic3C2411yescharacteristic
277C2×C3×Dic3C2413yes—
278C2×C3×Dic3C2413yes—
279C2×C3×Dic3C2411yescharacteristic
280C2×C3×Dic3C2411yescharacteristic
281C2×C3×Dic3C2411yescharacteristic
282C3×D12—26no—
283C3×C4×D3—26no—
284C3×C4×D3—26no—
285C3×C4×D3—43no—
286C3×Dic6—26no—
287#626—26no—
288#626—26no—
289#626—46no—
290#624—26no—
291#624—43no—
292#624—43no—
293#624#4114yescomplemented
294#559—93no—
295#557—31no—
296#556—93no—
297#553—93no—
298#553—93no—
299#550—91no—
300#548—91no—
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—
310C2×C3×Q8—21no—
311C2×C3×Q8—33no—
312C2×C3×Q8C22×D311yescharacteristic
313C2×C3×Q8C22×D311yescharacteristic
314C2×C3×D4—33no—
315C22×C3×C4—33no—
316C22×C3×C4—33no—
317C22×C3×C4—33no—
318C2×#67—33no—
319C2×#67—33no—
320C2×#67—36no—
321#239—24no—
322#239—612no—
323#239—64no—
324#239—64no—
325#239—124no—
326D3×Q8—64no—
327D3×Q8—64no—
328D3×Q8—124no—
329#235—612no—
330C2×D12—33no—
331C2×D12—33no—
332C2×D12—33no—
333C2×D12—33no—
334C2×D12—33no—
335C2×D12—33no—
336C2×D12—36no—
337C2×D12—63no—
338C2×D12—63no—
339C2×D12C22×D313yes—
340C2×C4×D3—31no—
341C2×C4×D3—31no—
342C2×C4×D3—33no—
343C2×C4×D3—33no—
344C2×C4×D3—33no—
345C2×C4×D3—33no—
346C2×C4×D3—33no—
347C2×C4×D3—33no—
348C2×C4×D3—33no—
349C2×C4×D3—33no—
350C2×C4×D3—33no—
351C2×C4×D3—33no—
352C2×C4×D3—63no—
353C2×C4×D3—63no—
354C2×C4×D3C22×D313yes—
355C2×C4×D3C22×D313yes—
356C2×C4×D3C22×D313yes—
357C2×Dic6—33no—
358C2×Dic6—33no—
359C2×Dic6—63no—
360C2×Dic6C22×D313yes—
361C3×C4⋊C4—23no—
362C3×C4⋊C4—33no—
363C3×C4⋊C4—33no—
364C3×C4⋊C4—31no—
365C3×C4⋊C4—33no—
366C3×C4⋊C4—33no—
367C3×C4⋊C4—33no—
368C3×C4⋊C4—36no—
369C3×C4⋊C4C22×D313yes—
370C3×C4⋊C4C22×D313yes—
371C3×C22⋊C4—36no—
372C3×C42—23no—
373C3×C42—33no—
374C3×C42—33no—
375C3×C42—33no—
376C3×C42—33no—
377C3×C42—31no—
378C3×C42C22×D313yes—
379C3×C42C22×D313yes—
380#217—33no—
381#217—36no—
382#217—33no—
383(C2×D3)⋊C4—33no—
384(C2×D3)⋊C4—33no—
385(C2×D3)⋊C4—36no—
386(C2×D3)⋊C4—31no—
387(C2×D3)⋊C4—33no—
388(C2×D3)⋊C4—31no—
389(C2×D3)⋊C4—33no—
390(C2×D3)⋊C4—36no—
391(C2×D3)⋊C4—36no—
392(C2×D3)⋊C4—31no—
393(C2×D3)⋊C4—33no—
394(C2×D3)⋊C4—31no—
395(C2×D3)⋊C4—36no—
396(C2×D3)⋊C4—36no—
397(C2×D3)⋊C4—33no—
398(C2×D3)⋊C4—61no—
399(C2×D3)⋊C4—63no—
400(C2×D3)⋊C4—66no—
401(C2×D3)⋊C4C22×D316yes—
402C4⋊Dic3—33no—
403C4⋊Dic3—33no—
404C4⋊Dic3—31no—
405C4⋊Dic3—33no—
406C4⋊Dic3—63no—
407C4⋊Dic3C22×D313yes—
408C4⋊Dic3C22×D313yes—
409C4⋊Dic3C22×D313yes—
410C4⋊Dic3C22×D313yes—
411Dic3⋊C4—31no—
412Dic3⋊C4—33no—
413Dic3⋊C4—36no—
414Dic3⋊C4—36no—
415Dic3⋊C4C22×D311yescharacteristic
416Dic3⋊C4C22×D313yes—
417Dic3⋊C4C22×D316yes—
418C4×Dic3—33no—
419C4×Dic3—33no—
420C4×Dic3—33no—
421C4×Dic3—33no—
422C4×Dic3—31no—
423C4×Dic3—31no—
424C4×Dic3—33no—
425C4×Dic3—33no—
426C4×Dic3C22×D313yes—
427C4×Dic3C22×D313yes—
428C4×Dic3C22×D313yes—
429C4×Dic3C22×D311yescharacteristic
430C4×Dic3C22×D313yes—
431C22×C32C2511yescharacteristic
432C2×C3⋊D3—21no—
433C2×C3⋊D3—21no—
434C2×C3⋊D3—23no—
435C2×C3⋊D3—23no—
436C2×C3⋊D3—23no—
437C2×C3⋊D3C2×#4112yes—
438C2×C3×D3—23no—
439C2×C3×D3—23no—
440C2×C3×D3—23no—
441C32×C4—23no—
442C32×C4—21no—
443C32×C4C2×#4116yes—
444C3⋊Dic3—23no—
445C3⋊Dic3—21no—
446C3×Dic3—23no—
447C3×Dic3—21no—
448C3×Dic3—21no—
449C3×Dic3—23no—
450C3×Dic3—23no—
451C3×Dic3C2×#4112yes—
452C3×Dic3C2×#4112yes—
453C2×#41—31no—
454C2×#41—93no—
455C2×#41—91no—
456C22×Q8—91no—
457C4⋊Q8—33no—
458#127—93no—
459#126—96no—
460#126—96no—
461#125—33no—
462#125—33no—
463#124—93no—
464#124—96no—
465#124—93no—
466#123—96no—
467#123—96no—
468C22⋊Q8—93no—
469C22⋊Q8—93no—
470#121—96no—
471#121—93no—
472#121—93no—
473#121—93no—
474#121—93no—
475C4×Q8—31no—
476C4×Q8—31no—
477C4×Q8—31no—
478C4×Q8—33no—
479C4×Q8—93no—
480C4×Q8—93no—
481C4×Q8—93no—
482C4×Q8D3211yescharacteristic
483C4×D4—33no—
484C4×D4—33no—
485C4×D4—93no—
486C4×D4—93no—
487C4×D4—93no—
488C4×D4—93no—
489C4×D4—93no—
490C4×D4—93no—
491C4×D4—93no—
492C4×D4—96no—
493C4×D4—93no—
494#117—33no—
495#117—91no—
496#117—93no—
497#117—93no—
498#117—93no—
499C2×C4⋊C4—93no—
500C2×C42—33no—
501C2×C42—93no—
502C2×C42—93no—
503C23×C3—33no—
504C22×D3—31no—
505C22×D3—31no—
506C22×D3—33no—
507C22×D3—33no—
508C22×D3—61no—
509C22×D3—63no—
510C22×D3C23×D313yes—
511C3×Q8—24no—
512C3×Q8—66no—
513C3×Q8#23514yescomplemented
514C3×Q8#23914yescomplemented
515C3×D4—66no—
516C2×C3×C4—23no—
517C2×C3×C4—23no—
518C2×C3×C4—21no—
519C2×C3×C4—31no—
520C2×C3×C4—31no—
521C2×C3×C4—33no—
522C2×C3×C4—33no—
523C2×C3×C4—33no—
524C2×C3×C4—31no—
525C2×C3×C4—31no—
526C2×C3×C4—66no—
527C2×C3×C4—66no—
528C2×C3×C4—123no—
529C2×C3×C4C23×D313yes—
530C2×C3×C4C23×D311yescharacteristic
531C2×C3×C4C23×D311yescharacteristic
532C2×C3×C4C23×D313yes—
533C2×C3×C4C23×D313yes—
534C2×C3×C4C23×D313yes—
535#67—66no—
536#67—66no—
537#67—126no—
538C2×Dic3—31no—
539C2×Dic3—31no—
540C2×Dic3—33no—
541C2×Dic3—33no—
542C2×Dic3—61no—
543C2×Dic3—63no—
544C2×Dic3C23×D313yes—
545C2×Dic3C23×D311yescharacteristic
546C2×Dic3C23×D313yes—
547C2×Dic3C23×D313yes—
548C2×Dic3C23×D311yescharacteristic
549C2×Dic3C23×D311yescharacteristic
550C2×Dic3C23×D311yescharacteristic
551D12—26no—
552D12—66no—
553D12—66no—
554D12—66no—
555D12—66no—
556D12—66no—
557D12—66no—
558D12—126no—
559D12—126no—
560D12—126no—
561C4×D3—26no—
562C4×D3—26no—
563C4×D3—34no—
564C4×D3—34no—
565C4×D3—43no—
566C4×D3—66no—
567C4×D3—66no—
568C4×D3—66no—
569C4×D3—66no—
570C4×D3—66no—
571C4×D3—66no—
572C4×D3—126no—
573C4×D3—126no—
574C4×D3—123no—
575C4×D3—123no—
576C4×D3—123no—
577C4×D3—123no—
578Dic6—26no—
579Dic6—66no—
580Dic6—66no—
581Dic6—126no—
582C2×C32C22×#4111yescharacteristic
583C2×C32C22×#4111yescharacteristic
584C2×C32#58511yescharacteristic
585C3⋊D3—22no—
586C3⋊D3—43no—
587C3×D3—43no—
588#41—64no—
589#41—1812no—
590#41—184no—
591C2×Q8—33no—
592C2×Q8—93no—
593C2×Q8—184no—
594C2×Q8C2×D3211yescharacteristic
595C2×D4—33no—
596C2×D4—93no—
597C2×D4—93no—
598C2×D4—96no—
599C2×D4—93no—
600C2×D4—93no—
601C22×C4—33no—
602C22×C4—33no—
603C22×C4—33no—
604C22×C4—91no—
605C22×C4—93no—
606C22×C4—93no—
607C22×C4—93no—
608C22×C4—93no—
609C22×C4—93no—
610C4⋊C4—33no—
611C4⋊C4—33no—
612C4⋊C4—31no—
613C4⋊C4—33no—
614C4⋊C4—33no—
615C4⋊C4—33no—
616C4⋊C4—36no—
617C4⋊C4—96no—
618C4⋊C4—91no—
619C4⋊C4—93no—
620C4⋊C4—93no—
621C4⋊C4C2×D3213yes—
622C22⋊C4—36no—
623C22⋊C4—91no—
624C22⋊C4—93no—
625C22⋊C4—96no—
626C22⋊C4—93no—
627C22⋊C4—93no—
628C22⋊C4—96no—
629C22⋊C4—91no—
630C22⋊C4—93no—
631C22⋊C4—96no—
632C42—31no—
633C42—33no—
634C42—33no—
635C42—33no—
636C42—33no—
637C42—91no—
638C42—93no—
639C42—93no—
640C42—93no—
641C42C2×D3213yes—
642C22×C3—21no—
643C22×C3—63no—
644C22×C3—63no—
645C22×C3—63no—
646C22×C3C24×D311yescharacteristic
647C22×C3C24×D311yescharacteristic
648C2×D3—23no—
649C2×D3—23no—
650C2×D3—23no—
651C2×D3—32no—
652C2×D3—32no—
653C2×D3—62no—
654C2×D3—61no—
655C2×D3—61no—
656C2×D3—61no—
657C2×D3—61no—
658C2×D3—63no—
659C2×D3—63no—
660C2×D3—63no—
661C2×D3—63no—
662C2×D3—63no—
663C2×D3—63no—
664C2×D3—121no—
665C2×D3—121no—
666C2×D3—123no—
667C2×D3—123no—
668C2×D3—123no—
669C3×C4—23no—
670C3×C4—23no—
671C3×C4—21no—
672C3×C4—21no—
673C3×C4—26no—
674C3×C4—32no—
675C3×C4—32no—
676C3×C4—43no—
677C3×C4—41no—
678C3×C4—61no—
679C3×C4—63no—
680C3×C4—61no—
681C3×C4—63no—
682C3×C4—63no—
683C3×C4C2×#23516yes—
684C3×C4C2×#23916yes—
685Dic3—21no—
686Dic3—23no—
687Dic3—23no—
688Dic3—21no—
689Dic3—23no—
690Dic3—63no—
691Dic3—61no—
692Dic3—63no—
693Dic3—61no—
694Dic3—123no—
695Dic3—121no—
696Dic3D3×#4112yes—
697Dic3D3×#4112yes—
698C32#348011yescharacteristic, complemented, Sylow
699C23—33no—
700C23—91no—
701C23—93no—
702Q8—66no—
703Q8—186no—
704Q8#379914yescomplemented
705D4—66no—
706D4—186no—
707D4—186no—
708D4—186no—
709D4—186no—
710D4—366no—
711C2×C4—31no—
712C2×C4—31no—
713C2×C4—31no—
714C2×C4—31no—
715C2×C4—33no—
716C2×C4—33no—
717C2×C4—33no—
718C2×C4—66no—
719C2×C4—66no—
720C2×C4—94no—
721C2×C4—91no—
722C2×C4—93no—
723C2×C4—123no—
724C2×C4—186no—
725C2×C4—186no—
726C2×C4—186no—
727C2×C4—363no—
728C2×C4—363no—
729C2×C4C22×D3211yescharacteristic
730C2×C4C22×D3213yes—
731C2×C4C22×D3213yes—
732C2×C3—21no—
733C2×C3—21no—
734C2×C3—21no—
735C2×C3—123no—
736C2×C3C22×#23511yescharacteristic
737C2×C3C22×#23911yescharacteristic
738C2×C3C2×D3×#4111yescharacteristic
739C2×C3C2×D3×#4111yescharacteristic
740C2×C3#596411yescharacteristic
741C2×C3#596811yescharacteristic
742D3—43no—
743D3—62no—
744D3—62no—
745D3—122no—
746D3—123no—
747D3—123no—
748D3—243no—
749C22—63no—
750C22—63no—
751C22—63no—
752C22—92no—
753C22—181no—
754C22—181no—
755C22—183no—
756C22—183no—
757C22—183no—
758C22C23×D3211yescharacteristic
759C4—21no—
760C4—23no—
761C4—32no—
762C4—32no—
763C4—61no—
764C4—63no—
765C4—61no—
766C4—63no—
767C4—63no—
768C4—181no—
769C4—183no—
770C4C2×#379916yes—
771C3—21no—
772C3#8584211yescharacteristic, complemented
773C3#8701611yescharacteristic, complemented
774C2—123no—
775C2—182no—
776C2—363no—
777C2C22×#379911yescharacteristic
778C2#1059668811yescharacteristic
779C2D32×#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. #10596047C2semidirect
2. C3×C4×#239C2semidirect
3. C3×#5569C2semidirect
4. #10595414C2semidirect
5. #10595410C2semidirect
6. #10595386C2semidirect
7. Q8×#624C2semidirect
8. #10594578C2semidirect
9. #10594556C2semidirect
10. #10594518C2semidirect
11. #10594447C2semidirect
12. #10593982C2semidirect
13. #10593978C2semidirect
14. #10593976C2semidirect
15. C4×#3799C2semidirect
87. C4×#239D3semidirect
90. #5569D3semidirect
264. C32×Q8#41semidirect
293. #624#41semidirect
513. C3×Q8#235semidirect
514. C3×Q8#239semidirect
698. C32#3480semidirect
704. Q8#3799semidirect
772. C3#85842semidirect
773. C3#87016semidirect

Maximal subgroups

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

subgroupindex
#105960472
C3×C4×#2392
C3×#55692
#105954142
#105954102
#105953862
Q8×#6242
#105945782
#105945562
#105945182
#105944472
#105939822
#105939782
#105939762
C4×#37992
#870163
#858423