Finite Group Databasebeta

← #11903885

Subgroups — #11903885

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#10596302C211yesmaximal, characteristic, complemented
2C3×#5834C211yesmaximal, characteristic, complemented
3C3×Dic3×#41C211yesmaximal, characteristic, complemented
4#10595422C211yesmaximal, characteristic, complemented
5#10595414C211yesmaximal, characteristic, complemented
6Dic3×#239C211yesmaximal, characteristic, complemented
7Q8×#624C211yesmaximal, characteristic, complemented
8#10595198C213yesmaximal, complemented
9#10595172C213yesmaximal, complemented
10#10595139C213yesmaximal, complemented
11#10595122C213yesmaximal, complemented
12#10594967C213yesmaximal, complemented
13#10594949C213yesmaximal, complemented
14C4×#3804C213yesmaximal, complemented
15#10594840C213yesmaximal, complemented
16#86767—31nomaximal
17#85842—31nomaximal
18C2×C32×#41C2211yescharacteristic
19C2×Q8×C3⋊D3C2211yescharacteristic
20C2×C3×#239C2211yescharacteristic
21C2×#3804C2213yes—
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—
38Dic3×#67C2213yes—
39Dic3×#67C2216yes—
40#63969C2216yes—
41#63961C2216yes—
42#63959C2216yes—
43#63958C2216yes—
44#63956C2216yes—
45#63955C2213yes—
46#63952C2213yes—
47#63918C2213yes—
48C4×#627C2213yes—
49#63916C2213yes—
50C4×#626C2213yes—
51#63900C2213yes—
52#63898C2213yes—
53Dic3×D12C2213yes—
54C4×#624C2213yes—
55#63880C2213yes—
56#63877C2213yes—
57C4×D3×Dic3C2213yes—
58#63872C2213yes—
59#63869C2213yes—
60#63860C2213yes—
61#63859C2216yes—
62#63857C2213yes—
63#63844C2213yes—
64#63844C2213yes—
65#63841C2213yes—
66#63837C2213yes—
67#63836C2211yescharacteristic
68C3×#550—31no—
69C3×C4×#41—31no—
70#5834D311yescharacteristic, complemented
71#5831—31no—
72#5831—31no—
73#5831—31no—
74#5831—61no—
75Dic3×#41—31no—
76Dic3×#41D311yescharacteristic, complemented
77#5716—33no—
78#5713—33no—
79#5614—33no—
80#5614—33no—
81#5600—33no—
82#5600—33no—
83#5576—31no—
84C4×#239—31no—
85C4×D3×Q8—31no—
86C4×D3×Q8—31no—
87#5570—31no—
88#5569—31no—
89#5559—33no—
90#5558—33no—
91#5557—33no—
92#5548—33no—
93#5542—33no—
94C4×#237—33no—
95#5533—33no—
96#5530—33no—
97#5479—33no—
98C4×#235—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×Dic3C2313yes—
110C22×C3×Dic3C2313yes—
111C3×#239—24no—
112C2×C3×D12C2313yes—
113C2×C3×C4×D3C2313yes—
114C2×#627C2313yes—
115C2×#626C2313yes—
116C2×#624C2313yes—
117C2×#624C2311yescharacteristic
118#3804—212no—
119C2×D3×Dic3C2313yes—
120C2×D3×Dic3C2313yes—
121#3757C2316yes—
122#3757C2313yes—
123#3752C2311yescharacteristic
124C4⋊(C3⋊Dic3)C2313yes—
125#3750C2313yes—
126C4×C3⋊Dic3C2313yes—
127C3×#217C2316yes—
128C3×#217C2313yes—
129C3×(C2×D3)⋊C4C2313yes—
130C3×C4⋊Dic3C2313yes—
131C3×C4⋊Dic3C2313yes—
132C3×C4⋊Dic3C2313yes—
133C3×Dic3⋊C4C2311yescharacteristic
134C3×C4×Dic3C2311yescharacteristic
135C3×C4×Dic3C2313yes—
136C3×C4×Dic3C2313yes—
137C3×C4×Dic3C2313yes—
138C3×C4×Dic3C2313yes—
139#3724C2316yes—
140#3724C2313yes—
141Dic3⋊Dic3C2311yescharacteristic
142Dic3⋊Dic3C2313yes—
143Dic3⋊Dic3C2316yes—
144Dic3⋊Dic3C2313yes—
145#3722C2311yescharacteristic
146(C2×D3)⋊Dic3C2316yes—
147(C2×D3)⋊Dic3C2316yes—
148(C2×D3)⋊Dic3C2313yes—
149Dic32C2311yescharacteristic
150Dic32C2313yes—
151Dic32C2313yes—
152Dic32C2313yes—
153#3480—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—33no—
163C2×#235—33no—
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×C42—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—36no—
185#938—33no—
186#938—63no—
187#938C2×D313yes—
188#936—33no—
189#936—33no—
190#936—36no—
191#936—33no—
192#936—63no—
193#935—36no—
194#935—36no—
195D4×Dic3—33no—
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—33no—
206C4×#67—36no—
207C4×#67—33no—
208C4×#67—33no—
209C4×#67—63no—
210C4×#67C2×D313yes—
211#926—33no—
212#926—33no—
213#926C2×D313yes—
214#924—33no—
215#924—33no—
216#924—33no—
217#924—63no—
218C2×C4×Dic3—33no—
219C2×C4×Dic3C2×D313yes—
220#897—33no—
221#895—33no—
222#893—33no—
223#892—33no—
224#892—31no—
225D3×C4⋊C4—33no—
226D3×C4⋊C4—33no—
227#890—33no—
228#890—33no—
229#890—33no—
230#888—33no—
231#887—33no—
232#887—33no—
233#887—33no—
234#885—36no—
235#884—36no—
236#883—36no—
237#67⋊C4—33no—
238#67⋊C4—33no—
239#879—36no—
240#879—36no—
241#879—36no—
242#877—33no—
243#877—33no—
244#876—36no—
245#875—33no—
246C4×D12—33no—
247C4×D12—33no—
248C4×D12—33no—
249#872—33no—
250#872—31no—
251C42×D3—33no—
252C42×D3—33no—
253C42×D3—33no—
254#870—33no—
255#869—33no—
256C4×Dic6—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⋊Dic3C2413yes—
272C2×C3⋊Dic3C2411yescharacteristic
273C4×C3⋊D3—26no—
274#634—26no—
275C3×#67—26no—
276C3×#67—46no—
277C2×C3×Dic3—26no—
278C2×C3×Dic3—43no—
279C2×C3×Dic3C2411yescharacteristic
280C2×C3×Dic3C2413yes—
281C2×C3×Dic3C2413yes—
282C2×C3×Dic3C2411yescharacteristic
283C2×C3×Dic3C2413yes—
284C2×C3×Dic3C2411yescharacteristic
285C2×C3×Dic3C2411yescharacteristic
286C3×D12—26no—
287C3×C4×D3—26no—
288#627—26no—
289#626—26no—
290#624—43no—
291#624#4114yescomplemented
292D3×Dic3—26no—
293D3×Dic3—43no—
294#559—93no—
295#557—91no—
296#556—93no—
297#553—93no—
298#553—93no—
299#550—31no—
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—24no—
310C3×#41—24no—
311C3×#41—44no—
312C3×#41—64no—
313C2×C3×Q8—21no—
314C2×C3×Q8C22×D311yescharacteristic
315C2×C3×Q8C22×D311yescharacteristic
316C2×C3×D4—23no—
317C2×C3×D4—33no—
318C2×C3×D4—36no—
319C2×C3×D4—33no—
320C2×C3×D4C22×D313yes—
321C2×C3×D4C22×D313yes—
322C22×C3×C4—23no—
323C22×C3×C4—33no—
324C22×C3×C4—33no—
325C22×C3×C4—33no—
326C22×C3×C4C22×D313yes—
327C22×C3×C4C22×D313yes—
328C2×#67—33no—
329C2×#67—33no—
330C2×#67—33no—
331C2×#67—63no—
332C2×#67C22×D313yes—
333C2×#67C22×D316yes—
334C22×Dic3—33no—
335C22×Dic3—33no—
336C22×Dic3C22×D313yes—
337C22×Dic3C22×D313yes—
338#239—24no—
339D3×Q8—64no—
340D3×Q8—64no—
341D3×Q8—124no—
342#237—612no—
343#235—612no—
344C2×D12—33no—
345C2×D12C22×D313yes—
346C2×C4×D3—31no—
347C2×C4×D3—31no—
348C2×C4×D3—33no—
349C2×C4×D3—33no—
350C2×C4×D3—33no—
351C2×C4×D3—33no—
352C2×C4×D3—33no—
353C2×C4×D3—33no—
354C2×C4×D3—63no—
355C2×C4×D3C22×D313yes—
356C2×Dic6—33no—
357C2×Dic6—33no—
358C2×Dic6—33no—
359C2×Dic6—33no—
360C2×Dic6—63no—
361C3×C4⋊C4—31no—
362C3×C4⋊C4—33no—
363C3×C4⋊C4—33no—
364C3×C4⋊C4—33no—
365C3×C22⋊C4—33no—
366C3×C22⋊C4—36no—
367C3×C22⋊C4—33no—
368C3×C42—33no—
369C3×C42—33no—
370C3×C42—33no—
371C3×C42—33no—
372C3×C42—31no—
373#217—33no—
374#217—36no—
375#217—36no—
376#217—33no—
377#217—33no—
378#217—36no—
379#217—36no—
380#217—66no—
381#217—63no—
382#217C22×D313yes—
383#217C22×D316yes—
384(C2×D3)⋊C4—33no—
385(C2×D3)⋊C4—36no—
386(C2×D3)⋊C4—36no—
387(C2×D3)⋊C4—31no—
388(C2×D3)⋊C4—31no—
389(C2×D3)⋊C4—31no—
390(C2×D3)⋊C4—31no—
391(C2×D3)⋊C4—61no—
392(C2×D3)⋊C4C22×D313yes—
393C4⋊Dic3—33no—
394C4⋊Dic3—33no—
395C4⋊Dic3—31no—
396C4⋊Dic3—33no—
397C4⋊Dic3—33no—
398C4⋊Dic3—36no—
399C4⋊Dic3—63no—
400C4⋊Dic3C22×D313yes—
401C4⋊Dic3C22×D313yes—
402C4⋊Dic3C22×D313yes—
403Dic3⋊C4—33no—
404Dic3⋊C4—33no—
405Dic3⋊C4—31no—
406Dic3⋊C4—33no—
407Dic3⋊C4—36no—
408Dic3⋊C4—33no—
409Dic3⋊C4—33no—
410Dic3⋊C4—36no—
411Dic3⋊C4—36no—
412Dic3⋊C4—33no—
413Dic3⋊C4—63no—
414Dic3⋊C4C22×D311yescharacteristic
415C4×Dic3—33no—
416C4×Dic3—33no—
417C4×Dic3—33no—
418C4×Dic3—33no—
419C4×Dic3—33no—
420C4×Dic3—33no—
421C4×Dic3—31no—
422C4×Dic3—33no—
423C4×Dic3—31no—
424C4×Dic3—33no—
425C4×Dic3—63no—
426C4×Dic3C22×D313yes—
427C4×Dic3C22×D313yes—
428C4×Dic3C22×D313yes—
429C4×Dic3C22×D311yescharacteristic
430C4×Dic3C22×D313yes—
431C22×C32—23no—
432C22×C32—23no—
433C22×C32—23no—
434C22×C32C2511yescharacteristic
435C2×C3⋊D3—21no—
436C2×C3⋊D3—21no—
437C2×C3⋊D3C2×#4112yes—
438C2×C3×D3—23no—
439C2×C3×D3—23no—
440C2×C3×D3—23no—
441C32×C4—21no—
442C32×C4C2×#4116yes—
443C3⋊Dic3—23no—
444C3⋊Dic3—23no—
445C3⋊Dic3—21no—
446C3×Dic3—23no—
447C3×Dic3—21no—
448C3×Dic3—23no—
449C3×Dic3—23no—
450C3×Dic3—21no—
451C3×Dic3C2×#4112yes—
452C3×Dic3C2×#4112yes—
453C2×#41—31no—
454C2×#41—93no—
455C2×#41D3211yescharacteristic
456C22×Q8—91no—
457C4⋊Q8—93no—
458#127—33no—
459#126—96no—
460#126—96no—
461#125—93no—
462#125—93no—
463#124—93no—
464#124—96no—
465#124—93no—
466#123—96no—
467#123—96no—
468C22⋊Q8—93no—
469C22⋊Q8—93no—
470#121—33no—
471#121—33no—
472#121—96no—
473#121—93no—
474#121—93no—
475C4×Q8—31no—
476C4×Q8—31no—
477C4×Q8—31no—
478C4×Q8—93no—
479C4×Q8—93no—
480C4×Q8—93no—
481C4×Q8—93no—
482C4×Q8—91no—
483C4×D4—33no—
484C4×D4—33no—
485C4×D4—33no—
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—93no—
496#117—91no—
497#117—93no—
498#117—93no—
499C2×C4⋊C4—93no—
500C2×C42—33no—
501C2×C42—93no—
502C2×C42—93no—
503C23×C3—23no—
504C23×C3—33no—
505C23×C3C23×D313yes—
506C23×C3C23×D313yes—
507C22×D3—31no—
508C22×D3—31no—
509C22×D3—61no—
510C22×D3C23×D313yes—
511C3×Q8—24no—
512C3×Q8#23514yescomplemented
513C3×Q8#23714yescomplemented
514C3×D4—26no—
515C3×D4—26no—
516C3×D4—46no—
517C3×D4—66no—
518C3×D4—66no—
519C3×D4—126no—
520C2×C3×C4—26no—
521C2×C3×C4—26no—
522C2×C3×C4—23no—
523C2×C3×C4—21no—
524C2×C3×C4—31no—
525C2×C3×C4—31no—
526C2×C3×C4—31no—
527C2×C3×C4—33no—
528C2×C3×C4—33no—
529C2×C3×C4—31no—
530C2×C3×C4—33no—
531C2×C3×C4—46no—
532C2×C3×C4—66no—
533C2×C3×C4—66no—
534C2×C3×C4—123no—
535C2×C3×C4C23×D311yescharacteristic
536C2×C3×C4C23×D311yescharacteristic
537C2×C3×C4C23×D313yes—
538C2×C3×C4C23×D313yes—
539#67—26no—
540#67—46no—
541#67—66no—
542#67—66no—
543#67—66no—
544#67—126no—
545C2×Dic3—26no—
546C2×Dic3—31no—
547C2×Dic3—31no—
548C2×Dic3—33no—
549C2×Dic3—33no—
550C2×Dic3—33no—
551C2×Dic3—33no—
552C2×Dic3—43no—
553C2×Dic3—61no—
554C2×Dic3—63no—
555C2×Dic3—63no—
556C2×Dic3—66no—
557C2×Dic3—123no—
558C2×Dic3C23×D311yescharacteristic
559C2×Dic3C23×D313yes—
560C2×Dic3C23×D313yes—
561C2×Dic3C23×D311yescharacteristic
562C2×Dic3C23×D313yes—
563C2×Dic3C23×D311yescharacteristic
564C2×Dic3C23×D311yescharacteristic
565D12—26no—
566D12—66no—
567C4×D3—26no—
568C4×D3—34no—
569C4×D3—34no—
570C4×D3—66no—
571C4×D3—66no—
572C4×D3—66no—
573C4×D3—126no—
574C4×D3—123no—
575C4×D3—123no—
576C4×D3—123no—
577Dic6—66no—
578Dic6—66no—
579Dic6—66no—
580Dic6—66no—
581Dic6—126no—
582C2×C32—43no—
583C2×C32C22×#4111yescharacteristic
584C2×C32C22×#4111yescharacteristic
585C2×C32#58511yescharacteristic
586C3⋊D3—22no—
587C3×D3—43no—
588#41—24no—
589#41—64no—
590#41—1812no—
591C2×Q8—93no—
592C2×Q8—93no—
593C2×Q8—184no—
594C2×Q8C2×D3211yescharacteristic
595C2×D4—33no—
596C2×D4—36no—
597C2×D4—33no—
598C2×D4—93no—
599C2×D4—93no—
600C2×D4C2×D3213yes—
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×C4C2×D3213yes—
610C4⋊C4—33no—
611C4⋊C4—33no—
612C4⋊C4—33no—
613C4⋊C4—31no—
614C4⋊C4—96no—
615C4⋊C4—91no—
616C4⋊C4—93no—
617C4⋊C4—93no—
618C4⋊C4—93no—
619C4⋊C4—96no—
620C4⋊C4—93no—
621C4⋊C4—93no—
622C22⋊C4—36no—
623C22⋊C4—33no—
624C22⋊C4—33no—
625C22⋊C4—91no—
626C22⋊C4—96no—
627C22⋊C4—93no—
628C22⋊C4—96no—
629C22⋊C4—93no—
630C22⋊C4—96no—
631C22⋊C4—91no—
632C42—31no—
633C42—33no—
634C42—33no—
635C42—33no—
636C42—33no—
637C42—91no—
638C42—93no—
639C42—93no—
640C42—93no—
641C42—93no—
642C22×C3—23no—
643C22×C3—23no—
644C22×C3—23no—
645C22×C3—23no—
646C22×C3—23no—
647C22×C3—23no—
648C22×C3—21no—
649C22×C3—43no—
650C22×C3—43no—
651C22×C3—43no—
652C22×C3—63no—
653C22×C3—63no—
654C22×C3—63no—
655C22×C3C24×D311yescharacteristic
656C22×C3C24×D311yescharacteristic
657C2×D3—23no—
658C2×D3—23no—
659C2×D3—23no—
660C2×D3—32no—
661C2×D3—32no—
662C2×D3—62no—
663C2×D3—61no—
664C2×D3—61no—
665C2×D3—61no—
666C2×D3—61no—
667C2×D3—121no—
668C2×D3—121no—
669C3×C4—21no—
670C3×C4—21no—
671C3×C4—26no—
672C3×C4—32no—
673C3×C4—32no—
674C3×C4—41no—
675C3×C4—61no—
676C3×C4—63no—
677C3×C4—63no—
678C3×C4—63no—
679C3×C4—61no—
680C3×C4C2×#23516yes—
681C3×C4C2×#23716yes—
682Dic3—21no—
683Dic3—23no—
684Dic3—23no—
685Dic3—21no—
686Dic3—23no—
687Dic3—63no—
688Dic3—63no—
689Dic3—63no—
690Dic3—63no—
691Dic3—61no—
692Dic3—61no—
693Dic3—123no—
694Dic3—123no—
695Dic3—121no—
696Dic3D3×#4112yes—
697Dic3D3×#4112yes—
698C32#348011yescharacteristic, complemented, Sylow
699C23—33no—
700C23—91no—
701C23C22×D3213yes—
702Q8—186no—
703Q8—186no—
704Q8#380414yescomplemented
705D4—26no—
706D4—66no—
707D4—66no—
708D4—126no—
709D4—186no—
710D4—186no—
711C2×C4—26no—
712C2×C4—31no—
713C2×C4—31no—
714C2×C4—31no—
715C2×C4—33no—
716C2×C4—33no—
717C2×C4—33no—
718C2×C4—31no—
719C2×C4—66no—
720C2×C4—66no—
721C2×C4—94no—
722C2×C4—91no—
723C2×C4—93no—
724C2×C4—93no—
725C2×C4—123no—
726C2×C4—186no—
727C2×C4—186no—
728C2×C4—363no—
729C2×C4—363no—
730C2×C4C22×D3211yescharacteristic
731C2×C4C22×D3213yes—
732C2×C3—21no—
733C2×C3—21no—
734C2×C3—21no—
735C2×C3—43no—
736C2×C3—43no—
737C2×C3—83no—
738C2×C3—123no—
739C2×C3C22×#23511yescharacteristic
740C2×C3C22×#23711yescharacteristic
741C2×C3C2×D3×#4111yescharacteristic
742C2×C3C2×D3×#4111yescharacteristic
743C2×C3#596411yescharacteristic
744C2×C3#596611yescharacteristic
745D3—43no—
746D3—62no—
747D3—62no—
748D3—122no—
749C22—23no—
750C22—23no—
751C22—23no—
752C22—63no—
753C22—63no—
754C22—63no—
755C22—92no—
756C22—181no—
757C22—181no—
758C22C23×D3211yescharacteristic
759C4—21no—
760C4—32no—
761C4—32no—
762C4—63no—
763C4—61no—
764C4—63no—
765C4—63no—
766C4—61no—
767C4—183no—
768C4—181no—
769C4—183no—
770C4C2×#380416yes—
771C3—21no—
772C3#8584211yescharacteristic, complemented
773C3#8676711yescharacteristic, complemented
774C2—43no—
775C2—123no—
776C2—182no—
777C2D32×#4111yescharacteristic
778C2#1059669611yescharacteristic
779C2C22×#380411yescharacteristic
subgroupG/H
center, FrattiniC22C23×D32
commutator, socle, cosocleC22×C32C25
FittingC2×C32×#41C22
hypercenterC2×#41D32
hypocenterC32#3480
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×Dic3×#41C2semidirect
4. #10595422C2semidirect
5. #10595414C2semidirect
6. Dic3×#239C2semidirect
7. Q8×#624C2semidirect
8. #10595198C2semidirect
9. #10595172C2semidirect
10. #10595139C2semidirect
11. #10595122C2semidirect
12. #10594967C2semidirect
13. #10594949C2semidirect
14. C4×#3804C2semidirect
15. #10594840C2semidirect
70. #5834D3semidirect
76. Dic3×#41D3semidirect
264. C32×Q8#41semidirect
291. #624#41semidirect
512. C3×Q8#235semidirect
513. C3×Q8#237semidirect
698. C32#3480semidirect
704. Q8#3804semidirect
772. C3#85842semidirect
773. C3#86767semidirect

Maximal subgroups

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

subgroupindex
#105963022
C3×#58342
C3×Dic3×#412
#105954222
#105954142
Dic3×#2392
Q8×#6242
#105951982
#105951722
#105951392
#105951222
#105949672
#105949492
C4×#38042
#105948402
#867673
#858423