Finite Group Databasebeta

← #11903887

Subgroups — #11903887

Order 1152.

2380 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596305C211yesmaximal, characteristic, complemented
2C3×#5831C211yesmaximal, characteristic, complemented
3C3×Dic3×#41C211yesmaximal, characteristic, complemented
4#10595386C211yesmaximal, characteristic, complemented
5D3×Q8×Dic3C211yesmaximal, characteristic, complemented
6#10595351C211yesmaximal, characteristic, complemented
7#10595342C211yesmaximal, characteristic, complemented
8#10595210C213yesmaximal, complemented
9#10595191C213yesmaximal, complemented
10#10595182C213yesmaximal, complemented
11#10595131C213yesmaximal, complemented
12#10594955C213yesmaximal, complemented
13#10594946C213yesmaximal, complemented
14C4×#3804C213yesmaximal, complemented
15#10594809C213yesmaximal, complemented
16#86711—31nomaximal
17#85842—31nomaximal
18C2×C32×#41C2211yescharacteristic
19C2×#3832C2211yescharacteristic
20C2×C3×D3×Q8C2211yescharacteristic
21C2×#3804C2213yes—
22Q8×C3⋊Dic3C2211yescharacteristic
23#64149C2213yes—
24#64147C2213yes—
25#64139C2213yes—
26C4×#638C2213yes—
27C3×Q8×Dic3C2211yescharacteristic
28C3×Q8×Dic3C2211yescharacteristic
29C3×Q8×Dic3C2211yescharacteristic
30C3×#938C2213yes—
31C3×#936C2213yes—
32C3×D4×Dic3C2213yes—
33C3×D4×Dic3C2213yes—
34C3×C4×#67C2213yes—
35C3×#926C2213yes—
36C3×#924C2213yes—
37C2×C3×C4×Dic3C2213yes—
38#63975C2216yes—
39Dic3×#67C2213yes—
40#63971C2216yes—
41#63966C2216yes—
42#63956C2216yes—
43#63955C2213yes—
44#63953C2216yes—
45#63952C2213yes—
46#63952C2216yes—
47#63919C2213yes—
48C4×#627C2213yes—
49#63909C2213yes—
50C4×#626C2213yes—
51#63894C2213yes—
52#63894C2213yes—
53D3×C4⋊Dic3C2213yes—
54C4×#624C2213yes—
55#63880C2213yes—
56#63877C2211yescharacteristic
57C4×D3×Dic3C2213yes—
58#63871C2213yes—
59#63869C2213yes—
60#63869C2213yes—
61#63868C2216yes—
62#63864C2213yes—
63#63849C2213yes—
64#63843C2213yes—
65Dic3×Dic6C2213yes—
66#63837C2213yes—
67#63836C2213yes—
68C3×#548—31no—
69C3×C4×#41—31no—
70#5834—31no—
71#5834—31no—
72#5834—61no—
73#5831D311yescharacteristic, complemented
74Dic3×#41D311yescharacteristic, complemented
75#5817—31no—
76C2×Q8×Dic3—31no—
77#5681—33no—
78#5680—33no—
79#5641—33no—
80#5624—33no—
81#5618—33no—
82#5596—33no—
83#5576—31no—
84C4×#239—31no—
85C4×#239—31no—
86C4×D3×Q8—31no—
87#5569—31no—
88#5569—31no—
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—
99C32×#41—24no—
100C2×C32×Q8C2311yescharacteristic
101C2×C32×D4C2313yes—
102C22×C32×C4C2313yes—
103C2×#638C2313yes—
104C2×#638C2316yes—
105#3832—24no—
106C2×C4⋊(C3⋊D3)C2313yes—
107C2×C4×C3⋊D3C2313yes—
108C2×C3×#67C2313yes—
109C22×C3×Dic3C2313yes—
110C22×C3×Dic3C2313yes—
111C3×D3×Q8—24no—
112C2×C3×C4×D3C2313yes—
113C2×C3×Dic6C2313yes—
114C2×#627C2313yes—
115C2×#626C2313yes—
116C2×#624C2313yes—
117C2×#624C2313yes—
118#3804—212no—
119C2×D3×Dic3C2313yes—
120C2×D3×Dic3C2311yescharacteristic
121#3757C2313yes—
122#3752C2313yes—
123C4⋊(C3⋊Dic3)C2313yes—
124#3750C2311yescharacteristic
125C4×C3⋊Dic3C2313yes—
126C3×#217C2316yes—
127C3×#217C2316yes—
128C3×#217C2313yes—
129C3×(C2×D3)⋊C4C2311yescharacteristic
130C3×C4⋊Dic3C2313yes—
131C3×C4⋊Dic3C2313yes—
132C3×C4⋊Dic3C2313yes—
133C3×Dic3⋊C4C2313yes—
134C3×C4×Dic3C2311yescharacteristic
135C3×C4×Dic3C2313yes—
136C3×C4×Dic3C2313yes—
137C3×C4×Dic3C2313yes—
138C3×C4×Dic3C2313yes—
139#3724C2316yes—
140#3724C2311yescharacteristic
141Dic3⋊Dic3C2313yes—
142Dic3⋊Dic3C2313yes—
143Dic3⋊Dic3C2316yes—
144Dic3⋊Dic3C2313yes—
145#3722C2313yes—
146#3722C2316yes—
147#3722C2316yes—
148(C2×D3)⋊Dic3C2311yescharacteristic
149Dic32C2313yes—
150Dic32C2313yes—
151Dic32C2313yes—
152Dic32C2311yescharacteristic
153#3480—91noSylow
154C2×C3×#41—21no—
155C2×C3×#41C2×D311yescharacteristic
156C2×C3×#41C2×D311yescharacteristic
157C22×C3×Q8—31no—
158C2×#239—31no—
159C2×#239—31no—
160C2×#239—61no—
161C2×D3×Q8C2×D311yescharacteristic
162C2×#237—33no—
163C2×#235—33no—
164C3×#124—33no—
165C3×C22⋊Q8—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—
175#947—33no—
176#946—33no—
177Q8×Dic3—31no—
178Q8×Dic3—31no—
179Q8×Dic3—33no—
180Q8×Dic3—33no—
181Q8×Dic3—61no—
182Q8×Dic3C2×D311yescharacteristic
183Q8×Dic3C2×D311yescharacteristic
184Q8×Dic3C2×D311yescharacteristic
185#940—33no—
186#940—33no—
187#940—63no—
188#939—36no—
189#938—33no—
190#938—33no—
191#938—63no—
192#938C2×D313yes—
193#936C2×D313yes—
194D4×Dic3—33no—
195D4×Dic3C2×D313yes—
196D4×Dic3C2×D313yes—
197#930—33no—
198#930—33no—
199#930—33no—
200#930—63no—
201#929—36no—
202C4×#67—33no—
203C4×#67—33no—
204C4×#67—33no—
205C4×#67—33no—
206C4×#67—36no—
207C4×#67—33no—
208C4×#67—63no—
209C4×#67C2×D313yes—
210#926—33no—
211#926C2×D313yes—
212C2×C4⋊Dic3—33no—
213#924C2×D313yes—
214C2×C4×Dic3—33no—
215C2×C4×Dic3C2×D313yes—
216#898—36no—
217#897—33no—
218#895—33no—
219#893—33no—
220#893—33no—
221#892—33no—
222#892—33no—
223#892—33no—
224D3×C4⋊C4—33no—
225#890—33no—
226#890—33no—
227#888—33no—
228#888—33no—
229#887—33no—
230#887—33no—
231#886—36no—
232#885—36no—
233#885—36no—
234#884—36no—
235#883—36no—
236#883—36no—
237#67⋊C4—36no—
238#67⋊C4—33no—
239#67⋊C4—33no—
240#879—36no—
241#879—36no—
242#877—33no—
243#877—31no—
244#876—36no—
245#875—33no—
246C4×D12—33no—
247C4×D12—33no—
248C4×D12—33no—
249C4×D12—33no—
250#872—31no—
251#872—33no—
252C42×D3—33no—
253C42×D3—33no—
254C42×D3—33no—
255#870—33no—
256#870—33no—
257C4×Dic6—33no—
258C4×Dic6—33no—
259C4×Dic6—33no—
260C4×Dic6—33no—
261C23×C32C2413yes—
262C22×C3⋊D3C2413yes—
263C22×C3×D3C2411yescharacteristic
264C32×Q8#4114yescomplemented
265C32×D4—26no—
266C2×C32×C4—26no—
267C2×C32×C4C2411yescharacteristic
268C2×C32×C4C2413yes—
269#638—26no—
270#638—46no—
271C2×C3⋊Dic3C2411yescharacteristic
272C2×C3⋊Dic3C2413yes—
273C2×C3⋊Dic3C2411yescharacteristic
274C4⋊(C3⋊D3)—26no—
275C4×C3⋊D3—26no—
276C3×#67—26no—
277C2×C3×Dic3—26no—
278C2×C3×Dic3—43no—
279C2×C3×Dic3C2413yes—
280C2×C3×Dic3C2413yes—
281C2×C3×Dic3C2413yes—
282C2×C3×Dic3C2411yescharacteristic
283C2×C3×Dic3C2411yescharacteristic
284C2×C3×Dic3C2413yes—
285C2×C3×Dic3C2411yescharacteristic
286C3×C4×D3—26no—
287C3×Dic6—26no—
288#627—26no—
289#626—26no—
290#624—26no—
291#624—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—24no—
310C3×#41—24no—
311C3×#41—44no—
312C2×C3×Q8—21no—
313C2×C3×Q8—33no—
314C2×C3×Q8—64no—
315C2×C3×Q8C22×D311yescharacteristic
316C2×C3×Q8C22×D311yescharacteristic
317C2×C3×D4—23no—
318C2×C3×D4—33no—
319C2×C3×D4C22×D313yes—
320C2×C3×D4C22×D313yes—
321C22×C3×C4—23no—
322C22×C3×C4—33no—
323C22×C3×C4—33no—
324C22×C3×C4—33no—
325C22×C3×C4C22×D313yes—
326C22×C3×C4C22×D313yes—
327C2×#67—33no—
328C2×#67—33no—
329C2×#67—36no—
330C2×#67—36no—
331C2×#67—33no—
332C2×#67—63no—
333C2×#67—66no—
334C2×#67C22×D313yes—
335C22×Dic3—31no—
336C22×Dic3—33no—
337C22×Dic3C22×D313yes—
338C22×Dic3C22×D313yes—
339#239—64no—
340#239—64no—
341#239—124no—
342D3×Q8—24no—
343#237—612no—
344#235—612no—
345C2×D12—33no—
346C2×D12—33no—
347C2×D12—33no—
348C2×D12—63no—
349C2×C4×D3—31no—
350C2×C4×D3—33no—
351C2×C4×D3—33no—
352C2×C4×D3—33no—
353C2×C4×D3—33no—
354C2×C4×D3—33no—
355C2×C4×D3—33no—
356C2×C4×D3—33no—
357C2×C4×D3—63no—
358C2×C4×D3C22×D313yes—
359C2×Dic6—33no—
360C2×Dic6—33no—
361C2×Dic6C22×D313yes—
362C3×C4⋊C4—33no—
363C3×C4⋊C4—33no—
364C3×C4⋊C4—33no—
365C3×C4⋊C4—33no—
366C3×C22⋊C4—33no—
367C3×C22⋊C4—36no—
368C3×C22⋊C4—36no—
369C3×C22⋊C4—31no—
370C3×C42—33no—
371C3×C42—33no—
372C3×C42—33no—
373C3×C42—33no—
374C3×C42—31no—
375#217—33no—
376#217—33no—
377#217—31no—
378#217—63no—
379#217C22×D316yes—
380#217C22×D316yes—
381#217C22×D313yes—
382(C2×D3)⋊C4—31no—
383(C2×D3)⋊C4—33no—
384(C2×D3)⋊C4—33no—
385(C2×D3)⋊C4—33no—
386(C2×D3)⋊C4—36no—
387(C2×D3)⋊C4—36no—
388(C2×D3)⋊C4—36no—
389(C2×D3)⋊C4—36no—
390(C2×D3)⋊C4—33no—
391(C2×D3)⋊C4—63no—
392(C2×D3)⋊C4C22×D311yescharacteristic
393C4⋊Dic3—33no—
394C4⋊Dic3—33no—
395C4⋊Dic3—33no—
396C4⋊Dic3—33no—
397C4⋊Dic3—33no—
398C4⋊Dic3—36no—
399C4⋊Dic3—63no—
400C4⋊Dic3C22×D313yes—
401C4⋊Dic3C22×D313yes—
402C4⋊Dic3C22×D313yes—
403Dic3⋊C4—31no—
404Dic3⋊C4—31no—
405Dic3⋊C4—31no—
406Dic3⋊C4—31no—
407Dic3⋊C4—33no—
408Dic3⋊C4—33no—
409Dic3⋊C4—36no—
410Dic3⋊C4—36no—
411Dic3⋊C4—36no—
412Dic3⋊C4—33no—
413Dic3⋊C4—61no—
414Dic3⋊C4C22×D313yes—
415C4×Dic3—33no—
416C4×Dic3—33no—
417C4×Dic3—33no—
418C4×Dic3—33no—
419C4×Dic3—33no—
420C4×Dic3—31no—
421C4×Dic3—31no—
422C4×Dic3—33no—
423C4×Dic3—33no—
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—23no—
436C2×C3⋊D3—23no—
437C2×C3⋊D3—23no—
438C2×C3×D3—21no—
439C2×C3×D3—21no—
440C2×C3×D3C2×#4112yes—
441C32×C4—21no—
442C32×C4C2×#4116yes—
443C3⋊Dic3—21no—
444C3⋊Dic3—23no—
445C3⋊Dic3C2×#4112yes—
446C3×Dic3—23no—
447C3×Dic3—23no—
448C3×Dic3—23no—
449C3×Dic3—23no—
450C3×Dic3—21no—
451C3×Dic3—21no—
452C3×Dic3C2×#4112yes—
453C2×#41—93no—
454C2×#41—91no—
455C2×#41D3211yescharacteristic
456C22×Q8—31no—
457C4⋊Q8—93no—
458#127—93no—
459#126—96no—
460#126—96no—
461#125—93no—
462#125—93no—
463#124—33no—
464#124—93no—
465#124—96no—
466#123—96no—
467#123—96no—
468C22⋊Q8—33no—
469C22⋊Q8—93no—
470#121—33no—
471#121—96no—
472#121—93no—
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—96no—
492C4×D4—93no—
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—23no—
504C23×C3—31no—
505C23×C3C23×D313yes—
506C23×C3C23×D313yes—
507C22×D3—33no—
508C22×D3—33no—
509C22×D3—63no—
510C22×D3C23×D311yescharacteristic
511C3×Q8—24no—
512C3×Q8—66no—
513C3×Q8#23514yescomplemented
514C3×Q8#23714yescomplemented
515C3×D4—26no—
516C3×D4—26no—
517C3×D4—46no—
518C3×D4—66no—
519C2×C3×C4—26no—
520C2×C3×C4—26no—
521C2×C3×C4—23no—
522C2×C3×C4—21no—
523C2×C3×C4—31no—
524C2×C3×C4—33no—
525C2×C3×C4—33no—
526C2×C3×C4—31no—
527C2×C3×C4—33no—
528C2×C3×C4—31no—
529C2×C3×C4—33no—
530C2×C3×C4—46no—
531C2×C3×C4—66no—
532C2×C3×C4—66no—
533C2×C3×C4—123no—
534C2×C3×C4C23×D311yescharacteristic
535C2×C3×C4C23×D311yescharacteristic
536C2×C3×C4C23×D313yes—
537C2×C3×C4C23×D313yes—
538#67—26no—
539#67—66no—
540#67—66no—
541#67—66no—
542#67—126no—
543#67—126no—
544#67—126no—
545#67—246no—
546C2×Dic3—26no—
547C2×Dic3—31no—
548C2×Dic3—31no—
549C2×Dic3—34no—
550C2×Dic3—31no—
551C2×Dic3—31no—
552C2×Dic3—33no—
553C2×Dic3—33no—
554C2×Dic3—43no—
555C2×Dic3—61no—
556C2×Dic3—63no—
557C2×Dic3—61no—
558C2×Dic3—123no—
559C2×Dic3C23×D313yes—
560C2×Dic3C23×D313yes—
561C2×Dic3C23×D311yescharacteristic
562C2×Dic3C23×D313yes—
563C2×Dic3C23×D311yescharacteristic
564C2×Dic3C23×D313yes—
565C2×Dic3C23×D311yescharacteristic
566D12—66no—
567D12—66no—
568D12—66no—
569D12—126no—
570C4×D3—26no—
571C4×D3—34no—
572C4×D3—66no—
573C4×D3—66no—
574C4×D3—66no—
575C4×D3—66no—
576C4×D3—126no—
577C4×D3—123no—
578C4×D3—123no—
579C4×D3—123no—
580Dic6—26no—
581Dic6—66no—
582Dic6—66no—
583C2×C32—43no—
584C2×C32C22×#4111yescharacteristic
585C2×C32C22×#4111yescharacteristic
586C2×C32#58511yescharacteristic
587C3⋊D3—43no—
588C3×D3—22no—
589#41—24no—
590#41—1812no—
591#41—184no—
592C2×Q8—33no—
593C2×Q8—64no—
594C2×Q8—93no—
595C2×Q8C2×D3211yescharacteristic
596C2×D4—33no—
597C2×D4—93no—
598C2×D4—93no—
599C2×D4—96no—
600C2×D4—93no—
601C2×D4C2×D3213yes—
602C22×C4—33no—
603C22×C4—33no—
604C22×C4—33no—
605C22×C4—93no—
606C22×C4—93no—
607C22×C4—91no—
608C22×C4—93no—
609C22×C4—93no—
610C22×C4C2×D3213yes—
611C4⋊C4—33no—
612C4⋊C4—33no—
613C4⋊C4—33no—
614C4⋊C4—33no—
615C4⋊C4—96no—
616C4⋊C4—91no—
617C4⋊C4—93no—
618C4⋊C4—93no—
619C4⋊C4—93no—
620C4⋊C4—96no—
621C4⋊C4—93no—
622C4⋊C4—91no—
623C22⋊C4—36no—
624C22⋊C4—33no—
625C22⋊C4—36no—
626C22⋊C4—31no—
627C22⋊C4—96no—
628C22⋊C4—93no—
629C22⋊C4—96no—
630C22⋊C4—91no—
631C22⋊C4—93no—
632C22⋊C4—93no—
633C42—31no—
634C42—33no—
635C42—33no—
636C42—33no—
637C42—33no—
638C42—91no—
639C42—93no—
640C42—93no—
641C42—93no—
642C42—93no—
643C22×C3—23no—
644C22×C3—23no—
645C22×C3—23no—
646C22×C3—23no—
647C22×C3—23no—
648C22×C3—23no—
649C22×C3—21no—
650C22×C3—32no—
651C22×C3—43no—
652C22×C3—43no—
653C22×C3—43no—
654C22×C3—61no—
655C22×C3—61no—
656C22×C3C24×D311yescharacteristic
657C22×C3C24×D311yescharacteristic
658C2×D3—21no—
659C2×D3—21no—
660C2×D3—63no—
661C2×D3—63no—
662C2×D3—63no—
663C2×D3—63no—
664C2×D3—63no—
665C2×D3—63no—
666C2×D3—123no—
667C2×D3—123no—
668C2×D3—123no—
669C2×D3D3×#4112yes—
670C3×C4—21no—
671C3×C4—21no—
672C3×C4—26no—
673C3×C4—32no—
674C3×C4—41no—
675C3×C4—63no—
676C3×C4—63no—
677C3×C4—63no—
678C3×C4—61no—
679C3×C4—63no—
680C3×C4—61no—
681C3×C4C2×#23516yes—
682C3×C4C2×#23716yes—
683Dic3—23no—
684Dic3—23no—
685Dic3—23no—
686Dic3—23no—
687Dic3—21no—
688Dic3—21no—
689Dic3—32no—
690Dic3—32no—
691Dic3—62no—
692Dic3—61no—
693Dic3—61no—
694Dic3—63no—
695Dic3—63no—
696Dic3—121no—
697Dic3—123no—
698Dic3D3×#4112yes—
699C32#348011yescharacteristic, complemented, Sylow
700C23—31no—
701C23—93no—
702C23C22×D3213yes—
703Q8—66no—
704Q8—186no—
705Q8#380414yescomplemented
706D4—26no—
707D4—66no—
708D4—186no—
709D4—186no—
710D4—186no—
711D4—366no—
712C2×C4—26no—
713C2×C4—31no—
714C2×C4—31no—
715C2×C4—31no—
716C2×C4—33no—
717C2×C4—33no—
718C2×C4—33no—
719C2×C4—33no—
720C2×C4—66no—
721C2×C4—66no—
722C2×C4—94no—
723C2×C4—91no—
724C2×C4—91no—
725C2×C4—93no—
726C2×C4—123no—
727C2×C4—186no—
728C2×C4—186no—
729C2×C4—363no—
730C2×C4—363no—
731C2×C4C22×D3211yescharacteristic
732C2×C4C22×D3213yes—
733C2×C3—21no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—43no—
737C2×C3—43no—
738C2×C3—62no—
739C2×C3—83no—
740C2×C3C22×#23511yescharacteristic
741C2×C3C22×#23711yescharacteristic
742C2×C3C2×D3×#4111yescharacteristic
743C2×C3C2×D3×#4111yescharacteristic
744C2×C3#596411yescharacteristic
745C2×C3#596811yescharacteristic
746D3—22no—
747D3—123no—
748D3—123no—
749D3—243no—
750C22—23no—
751C22—23no—
752C22—23no—
753C22—32no—
754C22—61no—
755C22—61no—
756C22—183no—
757C22—183no—
758C22—183no—
759C22C23×D3211yescharacteristic
760C4—21no—
761C4—32no—
762C4—63no—
763C4—63no—
764C4—61no—
765C4—63no—
766C4—61no—
767C4—63no—
768C4—92no—
769C4—183no—
770C4—181no—
771C4C2×#380416yes—
772C3—21no—
773C3#8584211yescharacteristic, complemented
774C3#8671111yescharacteristic, complemented
775C2—43no—
776C2—62no—
777C2—363no—
778C2D32×#4111yescharacteristic
779C2#1059669711yescharacteristic
780C2C22×#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. #10596305C2semidirect
2. C3×#5831C2semidirect
3. C3×Dic3×#41C2semidirect
4. #10595386C2semidirect
5. D3×Q8×Dic3C2semidirect
6. #10595351C2semidirect
7. #10595342C2semidirect
8. #10595210C2semidirect
9. #10595191C2semidirect
10. #10595182C2semidirect
11. #10595131C2semidirect
12. #10594955C2semidirect
13. #10594946C2semidirect
14. C4×#3804C2semidirect
15. #10594809C2semidirect
73. #5831D3semidirect
74. Dic3×#41D3semidirect
264. C32×Q8#41semidirect
293. D3×Dic3#41semidirect
513. C3×Q8#235semidirect
514. C3×Q8#237semidirect
699. C32#3480semidirect
705. Q8#3804semidirect
773. C3#85842semidirect
774. C3#86711semidirect

Maximal subgroups

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

subgroupindex
#105963052
C3×#58312
C3×Dic3×#412
#105953862
D3×Q8×Dic32
#105953512
#105953422
#105952102
#105951912
#105951822
#105951312
#105949552
#105949462
C4×#38042
#105948092
#867113
#858423