Finite Group Databasebeta

← #11909763

Subgroups — #11909763

Order 1152.

2353 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596302C211yesmaximal, characteristic, complemented
2C3×#5834C211yesmaximal, characteristic, complemented
3C3×#5827C211yesmaximal, characteristic, complemented
4Q8×#627C211yesmaximal, characteristic, complemented
5#10595414C211yesmaximal, characteristic, complemented
6#10595394C211yesmaximal, characteristic, complemented
7Q8×#624C211yesmaximal, characteristic, complemented
8#10595198C213yesmaximal, complemented
9#10595139C213yesmaximal, complemented
10#10595136C213yesmaximal, complemented
11#10595124C213yesmaximal, complemented
12#10594988C213yesmaximal, complemented
13#10594983C213yesmaximal, complemented
14#10594928C213yesmaximal, complemented
15#10594836C213yesmaximal, complemented
16#86776—31nomaximal
17#85908—31nomaximal
18C2×C32×#41C2211yescharacteristic
19C2×Q8×C3⋊D3C2211yescharacteristic
20C2×C3×#239C2211yescharacteristic
21C2×#3804C2216yes—
22Q8×C3⋊Dic3C2211yescharacteristic
23#64147C2213yes—
24#64145C2213yes—
25C4×#638C2213yes—
26#64133C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×Q8×Dic3C2211yescharacteristic
30C3×#940C2213yes—
31C3×#938C2213yes—
32C3×D4×Dic3C2213yes—
33C3×D4×Dic3C2213yes—
34C3×#930C2213yes—
35C3×C4×#67C2213yes—
36C3×#926C2213yes—
37C2×C3×C4⋊Dic3C2213yes—
38#63975C2213yes—
39Dic3×#67C2216yes—
40#63969C2216yes—
41#63964C2216yes—
42#63961C2216yes—
43#63959C2213yes—
44#63959C2216yes—
45#63958C2213yes—
46#63956C2213yes—
47#63919C2213yes—
48#63918C2213yes—
49#63918C2213yes—
50C4×#627C2213yes—
51#63916C2213yes—
52C4×#626C2213yes—
53#63900C2213yes—
54#63899C2216yes—
55#63898C2213yes—
56#63895C2211yescharacteristic
57Dic3×D12C2213yes—
58D3×C4⋊Dic3C2213yes—
59C4×#624C2213yes—
60#63860C2213yes—
61#63858C2213yes—
62#63857C2213yes—
63#63855C2213yes—
64#63854C2213yes—
65#63846C2213yes—
66#63844C2213yes—
67#63844C2213yes—
68C3×#550—31no—
69C3×#520—31no—
70#5834D311yescharacteristic, complemented
71#5831—31no—
72#5831—31no—
73#5831—31no—
74#5831—61no—
75#5827—31no—
76#5827D311yescharacteristic, complemented
77#5716—33no—
78#5713—33no—
79#5611—33no—
80#5611—33no—
81#5603—33no—
82#5603—33no—
83#5576—31no—
84#5574—31no—
85C4×D3×Q8—31no—
86C4×D3×Q8—31no—
87Q8×Dic6—31no—
88Q8×Dic6—31no—
89#5561—33no—
90#5559—33no—
91#5557—33no—
92#5551—33no—
93#5548—33no—
94#5543—33no—
95#5534—33no—
96#5528—33no—
97#5511—33no—
98#5507—33no—
99C32×#41—24no—
100C2×C32×Q8C2311yescharacteristic
101C2×C32×D4C2313yes—
102C22×C32×C4C2313yes—
103C2×#638C2313yes—
104Q8×C3⋊D3—24no—
105C2×C4×C3⋊D3C2313yes—
106C2×#634C2313yes—
107C2×C3×#67C2313yes—
108C2×C3×#67C2316yes—
109C22×C3×Dic3C2316yes—
110C3×#239—24no—
111C2×C3×D12C2313yes—
112C2×C3×C4×D3C2313yes—
113C2×#627C2311yescharacteristic
114C2×#627C2316yes—
115C2×#626C2313yes—
116C2×#624C2313yes—
117C2×#624C2311yescharacteristic
118#3804—412no—
119C2×D3×Dic3C2316yes—
120#3757C2316yes—
121#3757C2313yes—
122#3752C2311yescharacteristic
123C4⋊(C3⋊Dic3)C2313yes—
124#3750C2313yes—
125C4×C3⋊Dic3C2313yes—
126C3×#217C2313yes—
127C3×#217C2313yes—
128C3×#217C2313yes—
129C3×(C2×D3)⋊C4C2313yes—
130C3×C4⋊Dic3C2313yes—
131C3×C4⋊Dic3C2313yes—
132C3×C4⋊Dic3C2313yes—
133C3×C4⋊Dic3C2311yescharacteristic
134C3×C4⋊Dic3C2313yes—
135C3×Dic3⋊C4C2311yescharacteristic
136C3×C4×Dic3C2313yes—
137C3×C4×Dic3C2313yes—
138C3×C4×Dic3C2313yes—
139#3724C2316yes—
140#3724C2313yes—
141Dic3⋊Dic3C2313yes—
142Dic3⋊Dic3C2313yes—
143Dic3⋊Dic3C2313yes—
144Dic3⋊Dic3C2311yescharacteristic
145Dic3⋊Dic3C2313yes—
146#3722C2311yescharacteristic
147(C2×D3)⋊Dic3C2313yes—
148(C2×D3)⋊Dic3C2313yes—
149(C2×D3)⋊Dic3C2316yes—
150(C2×D3)⋊Dic3C2313yes—
151Dic32C2313yes—
152Dic32C2313yes—
153#3522—91noSylow
154C2×C3×#41—21no—
155C2×C3×#41—31no—
156C2×C3×#41C2×D311yescharacteristic
157C2×C3×#41C2×D311yescharacteristic
158C2×#239C2×D311yescharacteristic
159C2×D3×Q8—31no—
160C2×D3×Q8—31no—
161C2×D3×Q8—61no—
162C2×#237—36no—
163C2×#235—36no—
164C3×#127—33no—
165C3×#121—33no—
166C3×#121—33no—
167C3×C4×Q8—31no—
168C3×C4×Q8—31no—
169C3×C4×Q8—31no—
170C3×C4×D4—33no—
171C3×C4×D4—33no—
172C3×C4×D4—33no—
173C3×#117—33no—
174C2×C3×C4⋊C4—33no—
175Q8×Dic3—31no—
176Q8×Dic3—31no—
177Q8×Dic3—61no—
178Q8×Dic3C2×D311yescharacteristic
179Q8×Dic3C2×D311yescharacteristic
180Q8×Dic3C2×D311yescharacteristic
181#940C2×D313yes—
182#938—33no—
183#938—33no—
184#938—33no—
185#938—33no—
186#938—63no—
187#938C2×D313yes—
188#936—33no—
189#936—33no—
190#936—33no—
191#936—36no—
192#936—33no—
193#936—63no—
194#935—36no—
195#935—36no—
196D4×Dic3—36no—
197D4×Dic3—33no—
198D4×Dic3—33no—
199D4×Dic3C2×D313yes—
200D4×Dic3C2×D313yes—
201#930C2×D313yes—
202#929—36no—
203C4×#67—33no—
204C4×#67—33no—
205C4×#67—36no—
206C4×#67—33no—
207C4×#67—63no—
208C4×#67C2×D313yes—
209#926—33no—
210#926C2×D313yes—
211C2×C4⋊Dic3—33no—
212C2×C4⋊Dic3C2×D313yes—
213#924—33no—
214#924—33no—
215#924—36no—
216#924—33no—
217#924—63no—
218#898—33no—
219#897—33no—
220#897—31no—
221#896—36no—
222#896—31no—
223#895—33no—
224#894—33no—
225#893—33no—
226D3×C4⋊C4—33no—
227D3×C4⋊C4—33no—
228D3×C4⋊C4—33no—
229#890—33no—
230#889—33no—
231#888—33no—
232#888—33no—
233#888—33no—
234#888—33no—
235#887—33no—
236#887—33no—
237#885—33no—
238#885—36no—
239#884—33no—
240#883—36no—
241#883—33no—
242#883—33no—
243#883—33no—
244#879—33no—
245#879—33no—
246#879—33no—
247#878—36no—
248#878—36no—
249#875—33no—
250C4×D12—33no—
251C4×D12—33no—
252#872—33no—
253C42×D3—33no—
254C42×D3—33no—
255#869—33no—
256#869—33no—
257C4×Dic6—33no—
258C4×Dic6—33no—
259C4×Dic6—33no—
260C4×Dic6—33no—
261C23×C32C2413yes—
262C22×C3⋊D3C2411yescharacteristic
263C22×C3×D3C2413yes—
264C32×Q8#4114yescomplemented
265C32×D4—26no—
266C2×C32×C4—26no—
267C2×C32×C4C2411yescharacteristic
268C2×C32×C4C2413yes—
269#638—26no—
270C2×C3⋊Dic3C2413yes—
271C2×C3⋊Dic3C2411yescharacteristic
272C2×C3⋊Dic3C2413yes—
273C4×C3⋊D3—26no—
274#634—26no—
275C3×#67—26no—
276C3×#67—46no—
277C2×C3×Dic3—46no—
278C2×C3×Dic3C2411yescharacteristic
279C2×C3×Dic3C2413yes—
280C2×C3×Dic3C2413yes—
281C2×C3×Dic3C2411yescharacteristic
282C2×C3×Dic3C2413yes—
283C2×C3×Dic3C2411yescharacteristic
284C2×C3×Dic3C2411yescharacteristic
285C3×D12—26no—
286C3×C4×D3—26no—
287#627—22no—
288#627—46no—
289#626—26no—
290#624—26no—
291#624—22no—
292D3×Dic3—46no—
293#559—93no—
294Q82—91no—
295#554—93no—
296#550—31no—
297#548—91no—
298#548—91no—
299#547—93no—
300#547—93no—
301#542—93no—
302#542—93no—
303#532—93no—
304#529—93no—
305#520—31no—
306#520—91no—
307C2×C4×Q8—91no—
308C3×#41—24no—
309C3×#41—24no—
310C3×#41—44no—
311C3×#41—64no—
312C2×C3×Q8—21no—
313C2×C3×Q8C22×D311yescharacteristic
314C2×C3×Q8C22×D311yescharacteristic
315C2×C3×D4—23no—
316C2×C3×D4—33no—
317C2×C3×D4—36no—
318C2×C3×D4—33no—
319C2×C3×D4C22×D313yes—
320C2×C3×D4C22×D313yes—
321C22×C3×C4—23no—
322C22×C3×C4—36no—
323C22×C3×C4—33no—
324C22×C3×C4C22×D313yes—
325C22×C3×C4C22×D313yes—
326C2×#67—33no—
327C2×#67—33no—
328C2×#67—33no—
329C2×#67—63no—
330C2×#67C22×D313yes—
331C2×#67C22×D316yes—
332C22×Dic3—36no—
333C22×Dic3C22×D316yes—
334#239—24no—
335D3×Q8—64no—
336D3×Q8—64no—
337D3×Q8—124no—
338#237—1212no—
339#235—1212no—
340C2×D12—33no—
341C2×D12C22×D313yes—
342C2×C4×D3—33no—
343C2×C4×D3—33no—
344C2×C4×D3—31no—
345C2×C4×D3—31no—
346C2×C4×D3—33no—
347C2×C4×D3—33no—
348C2×C4×D3—36no—
349C2×C4×D3—63no—
350C2×C4×D3C22×D313yes—
351C2×Dic6—33no—
352C2×Dic6—33no—
353C2×Dic6—31no—
354C2×Dic6—31no—
355C2×Dic6—36no—
356C2×Dic6—36no—
357C2×Dic6—63no—
358C3×C4⋊C4—33no—
359C3×C4⋊C4—33no—
360C3×C4⋊C4—33no—
361C3×C4⋊C4—33no—
362C3×C4⋊C4—31no—
363C3×C4⋊C4—31no—
364C3×C22⋊C4—33no—
365C3×C22⋊C4—33no—
366C3×C22⋊C4—33no—
367C3×C22⋊C4—33no—
368C3×C42—33no—
369C3×C42—33no—
370C3×C42—33no—
371#217—36no—
372#217—33no—
373#217—33no—
374#217—36no—
375#217—36no—
376#217—33no—
377#217—33no—
378#217—33no—
379#217—66no—
380#217—63no—
381#217C22×D313yes—
382#217C22×D313yes—
383#217C22×D313yes—
384(C2×D3)⋊C4—33no—
385(C2×D3)⋊C4—33no—
386(C2×D3)⋊C4—33no—
387(C2×D3)⋊C4—36no—
388(C2×D3)⋊C4—31no—
389(C2×D3)⋊C4—31no—
390(C2×D3)⋊C4—31no—
391(C2×D3)⋊C4—31no—
392(C2×D3)⋊C4—61no—
393(C2×D3)⋊C4C22×D313yes—
394C4⋊Dic3—33no—
395C4⋊Dic3—33no—
396C4⋊Dic3—33no—
397C4⋊Dic3—33no—
398C4⋊Dic3—33no—
399C4⋊Dic3—33no—
400C4⋊Dic3—31no—
401C4⋊Dic3—63no—
402C4⋊Dic3C22×D313yes—
403C4⋊Dic3C22×D313yes—
404C4⋊Dic3C22×D313yes—
405C4⋊Dic3C22×D313yes—
406C4⋊Dic3C22×D311yescharacteristic
407Dic3⋊C4—33no—
408Dic3⋊C4—33no—
409Dic3⋊C4—36no—
410Dic3⋊C4—33no—
411Dic3⋊C4—33no—
412Dic3⋊C4—33no—
413Dic3⋊C4—36no—
414Dic3⋊C4—33no—
415Dic3⋊C4—31no—
416Dic3⋊C4—33no—
417Dic3⋊C4—33no—
418Dic3⋊C4—63no—
419Dic3⋊C4C22×D311yescharacteristic
420C4×Dic3—33no—
421C4×Dic3—33no—
422C4×Dic3—33no—
423C4×Dic3—33no—
424C4×Dic3—33no—
425C4×Dic3—33no—
426C4×Dic3—63no—
427C4×Dic3C22×D313yes—
428C4×Dic3C22×D313yes—
429C4×Dic3C22×D313yes—
430C22×C32—23no—
431C22×C32—23no—
432C22×C32—23no—
433C22×C32C2511yescharacteristic
434C2×C3⋊D3—21no—
435C2×C3⋊D3—21no—
436C2×C3⋊D3H(5,𝔽2)12yes—
437C2×C3×D3—23no—
438C2×C3×D3—23no—
439C2×C3×D3—23no—
440C32×C4—21no—
441C32×C4C2×#4116yes—
442C3⋊Dic3—23no—
443C3⋊Dic3—23no—
444C3⋊Dic3—21no—
445C3×Dic3—21no—
446C3×Dic3—23no—
447C3×Dic3—23no—
448C3×Dic3—23no—
449C3×Dic3—21no—
450C3×Dic3—21no—
451C3×Dic32−1+412yes—
452C2×#41—31no—
453C2×#41—96no—
454C2×#41D3211yescharacteristic
455C22×Q8—91no—
456C4⋊Q8—93no—
457C4⋊Q8—93no—
458C4⋊Q8—93no—
459#127—33no—
460#126—93no—
461#126—93no—
462#125—93no—
463#124—93no—
464#124—93no—
465#124—96no—
466#124—93no—
467#123—93no—
468#123—93no—
469#123—96no—
470#123—96no—
471C22⋊Q8—96no—
472C22⋊Q8—96no—
473C22⋊Q8—91no—
474C22⋊Q8—93no—
475C22⋊Q8—93no—
476#121—33no—
477#121—33no—
478#121—93no—
479#121—93no—
480#121—93no—
481C4×Q8—31no—
482C4×Q8—31no—
483C4×Q8—31no—
484C4×Q8—93no—
485C4×Q8—93no—
486C4×Q8—93no—
487C4×Q8—91no—
488C4×D4—33no—
489C4×D4—33no—
490C4×D4—33no—
491C4×D4—93no—
492C4×D4—93no—
493C4×D4—93no—
494C4×D4—96no—
495C4×D4—93no—
496#117—33no—
497#117—93no—
498C2×C4⋊C4—33no—
499C2×C4⋊C4—93no—
500C2×C4⋊C4—93no—
501C2×C42—93no—
502C23×C3—23no—
503C23×C3—33no—
504C23×C3C23×D313yes—
505C23×C3C23×D313yes—
506C22×D3—31no—
507C22×D3—31no—
508C22×D3—61no—
509C22×D3C23×D313yes—
510C3×Q8—24no—
511C3×Q8#23514yescomplemented
512C3×Q8#23714yescomplemented
513C3×D4—26no—
514C3×D4—26no—
515C3×D4—46no—
516C3×D4—66no—
517C3×D4—66no—
518C3×D4—126no—
519C2×C3×C4—26no—
520C2×C3×C4—26no—
521C2×C3×C4—23no—
522C2×C3×C4—21no—
523C2×C3×C4—31no—
524C2×C3×C4—31no—
525C2×C3×C4—33no—
526C2×C3×C4—33no—
527C2×C3×C4—31no—
528C2×C3×C4—33no—
529C2×C3×C4—31no—
530C2×C3×C4—46no—
531C2×C3×C4—66no—
532C2×C3×C4—126no—
533C2×C3×C4C23×D311yescharacteristic
534C2×C3×C4C23×D311yescharacteristic
535C2×C3×C4C23×D313yes—
536C2×C3×C4C23×D313yes—
537#67—26no—
538#67—46no—
539#67—66no—
540#67—66no—
541#67—66no—
542#67—126no—
543C2×Dic3—31no—
544C2×Dic3—31no—
545C2×Dic3—33no—
546C2×Dic3—33no—
547C2×Dic3—33no—
548C2×Dic3—33no—
549C2×Dic3—46no—
550C2×Dic3—61no—
551C2×Dic3—63no—
552C2×Dic3—63no—
553C2×Dic3—126no—
554C2×Dic3C23×D311yescharacteristic
555C2×Dic3C23×D313yes—
556C2×Dic3C23×D313yes—
557C2×Dic3C23×D311yescharacteristic
558C2×Dic3C23×D313yes—
559C2×Dic3C23×D311yescharacteristic
560C2×Dic3C23×D311yescharacteristic
561D12—26no—
562D12—66no—
563C4×D3—26no—
564C4×D3—62no—
565C4×D3—66no—
566C4×D3—66no—
567C4×D3—66no—
568C4×D3—66no—
569C4×D3—62no—
570C4×D3—126no—
571C4×D3—126no—
572Dic6—62no—
573Dic6—66no—
574Dic6—66no—
575Dic6—62no—
576Dic6—126no—
577Dic6—126no—
578Dic6—126no—
579C2×C32—43no—
580C2×C32C22×#4111yescharacteristic
581C2×C32C2×H(5,𝔽2)11yescharacteristic
582C2×C32C2×2−1+411yescharacteristic
583C3⋊D3—22no—
584C3×D3—43no—
585#41—24no—
586#41—64no—
587#41—3612no—
588C2×Q8—91no—
589C2×Q8—96no—
590C2×Q8—93no—
591C2×Q8—184no—
592C2×Q8C2×D3211yescharacteristic
593C2×D4—33no—
594C2×D4—36no—
595C2×D4—33no—
596C2×D4—93no—
597C2×D4—93no—
598C2×D4C2×D3213yes—
599C22×C4—36no—
600C22×C4—33no—
601C22×C4—91no—
602C22×C4—93no—
603C22×C4—96no—
604C22×C4—93no—
605C22×C4C2×D3213yes—
606C4⋊C4—33no—
607C4⋊C4—33no—
608C4⋊C4—33no—
609C4⋊C4—33no—
610C4⋊C4—31no—
611C4⋊C4—31no—
612C4⋊C4—93no—
613C4⋊C4—96no—
614C4⋊C4—91no—
615C4⋊C4—93no—
616C4⋊C4—93no—
617C4⋊C4—93no—
618C4⋊C4—93no—
619C4⋊C4—93no—
620C4⋊C4—93no—
621C22⋊C4—33no—
622C22⋊C4—33no—
623C22⋊C4—33no—
624C22⋊C4—33no—
625C22⋊C4—91no—
626C22⋊C4—93no—
627C22⋊C4—93no—
628C22⋊C4—96no—
629C22⋊C4—93no—
630C22⋊C4—96no—
631C22⋊C4—93no—
632C22⋊C4—91no—
633C42—33no—
634C42—33no—
635C42—33no—
636C42—93no—
637C42—93no—
638C42—93no—
639C22×C3—23no—
640C22×C3—23no—
641C22×C3—23no—
642C22×C3—23no—
643C22×C3—23no—
644C22×C3—23no—
645C22×C3—21no—
646C22×C3—43no—
647C22×C3—43no—
648C22×C3—43no—
649C22×C3—63no—
650C22×C3—63no—
651C22×C3—63no—
652C22×C3C24×D311yescharacteristic
653C22×C3C24×D311yescharacteristic
654C2×D3—23no—
655C2×D3—23no—
656C2×D3—23no—
657C2×D3—32no—
658C2×D3—32no—
659C2×D3—62no—
660C2×D3—61no—
661C2×D3—61no—
662C2×D3—61no—
663C2×D3—61no—
664C2×D3—121no—
665C2×D3—121no—
666C3×C4—21no—
667C3×C4—21no—
668C3×C4—26no—
669C3×C4—32no—
670C3×C4—41no—
671C3×C4—61no—
672C3×C4—61no—
673C3×C4—61no—
674C3×C4—63no—
675C3×C4—63no—
676C3×C4—63no—
677C3×C4C2×#23516yes—
678C3×C4C2×#23716yes—
679Dic3—21no—
680Dic3—23no—
681Dic3—23no—
682Dic3—23no—
683Dic3—21no—
684Dic3—21no—
685Dic3—63no—
686Dic3—63no—
687Dic3—61no—
688Dic3—63no—
689Dic3—63no—
690Dic3—61no—
691Dic3—123no—
692Dic3—123no—
693Dic3—121no—
694Dic3#101012yes—
695C32#352211yescharacteristic, complemented, Sylow
696C23—33no—
697C23—91no—
698C23C22×D3213yes—
699Q8—182no—
700Q8—186no—
701Q8—366no—
702Q8#380414yescomplemented
703D4—26no—
704D4—66no—
705D4—66no—
706D4—126no—
707D4—186no—
708D4—186no—
709C2×C4—26no—
710C2×C4—31no—
711C2×C4—31no—
712C2×C4—31no—
713C2×C4—33no—
714C2×C4—33no—
715C2×C4—33no—
716C2×C4—31no—
717C2×C4—66no—
718C2×C4—91no—
719C2×C4—93no—
720C2×C4—93no—
721C2×C4—126no—
722C2×C4—182no—
723C2×C4—186no—
724C2×C4—186no—
725C2×C4—366no—
726C2×C4C22×D3211yescharacteristic
727C2×C4C22×D3213yes—
728C2×C3—21no—
729C2×C3—21no—
730C2×C3—21no—
731C2×C3—43no—
732C2×C3—43no—
733C2×C3—83no—
734C2×C3—123no—
735C2×C3C22×#23511yescharacteristic
736C2×C3C22×#23711yescharacteristic
737C2×C3C2×#101011yescharacteristic
738C2×C3D3×H(5,𝔽2)11yescharacteristic
739C2×C3D3×H(5,𝔽2)11yescharacteristic
740C2×C3D3×2−1+411yescharacteristic
741D3—43no—
742D3—62no—
743D3—62no—
744D3—122no—
745C22—23no—
746C22—23no—
747C22—23no—
748C22—63no—
749C22—63no—
750C22—63no—
751C22—92no—
752C22—181no—
753C22—181no—
754C22C23×D3211yescharacteristic
755C4—21no—
756C4—32no—
757C4—63no—
758C4—63no—
759C4—63no—
760C4—61no—
761C4—61no—
762C4—61no—
763C4—183no—
764C4—181no—
765C4—183no—
766C4C2×#380416yes—
767C3—21no—
768C3#8590811yescharacteristic, complemented
769C3#8677611yescharacteristic, complemented
770C2—43no—
771C2—123no—
772C2—182no—
773C2#1059669211yescharacteristic
774C2D3×#101011yescharacteristic
775C2C22×#380411yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×#41C22
hypercenterC2×#41D32
hypocenterC32#3522
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. #10596302C2semidirect
2. C3×#5834C2semidirect
3. C3×#5827C2semidirect
4. Q8×#627C2semidirect
5. #10595414C2semidirect
6. #10595394C2semidirect
7. Q8×#624C2semidirect
8. #10595198C2semidirect
9. #10595139C2semidirect
10. #10595136C2semidirect
11. #10595124C2semidirect
12. #10594988C2semidirect
13. #10594983C2semidirect
14. #10594928C2semidirect
15. #10594836C2semidirect
70. #5834D3semidirect
76. #5827D3semidirect
264. C32×Q8#41semidirect
511. C3×Q8#235semidirect
512. C3×Q8#237semidirect
695. C32#3522semidirect
702. Q8#3804semidirect
768. C3#85908semidirect
769. C3#86776semidirect

Maximal subgroups

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

subgroupindex
#105963022
C3×#58342
C3×#58272
Q8×#6272
#105954142
#105953942
Q8×#6242
#105951982
#105951392
#105951362
#105951242
#105949882
#105949832
#105949282
#105948362
#867763
#859083