Finite Group Databasebeta

← #11873487

Subgroups — #11873487

Order 1152.

879 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595363C211yesmaximal, characteristic
2#10594448C211yesmaximal, characteristic, complemented
3#10592503C211yesmaximal, characteristic, complemented
4C3×#4800C211yesmaximal, characteristic, complemented
5C3×#4792C211yesmaximal, characteristic, complemented
6#10591623C211yesmaximal, characteristic, complemented
7#10591614C211yesmaximal, characteristic, complemented
8#10591560C211yesmaximal, characteristic, complemented
9#10590956C211yesmaximal, characteristic, complemented
10#10590878C211yesmaximal, characteristic, complemented
11#10590872C211yesmaximal, characteristic, complemented
12C8×#624C211yesmaximal, characteristic, complemented
13#10590611C211yesmaximal, characteristic, complemented
14#10590548C211yesmaximal, characteristic, complemented
15#10590537C211yesmaximal, characteristic, complemented
16#81637—31nomaximal
17#81598—31nomaximal
18C2×#3832C2211yescharacteristic
19C2×#3796C2211yescharacteristic
20C2×C8×C3⋊D3C2211yescharacteristic
21#64101C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#944C2211yescharacteristic
24C3×#890C2211yescharacteristic
25C3×#888C2211yescharacteristic
26#63918C2211yescharacteristic
27#63911C2211yescharacteristic
28#63910—21no—
29#63910—21no—
30#63895—21no—
31#63888—21no—
32C4×#624C2211yescharacteristic
33#63881—21no—
34#63881—21no—
35#63869C2211yescharacteristic
36#63864C2211yescharacteristic
37#63849C2211yescharacteristic
38#63843—21no—
39#63838—21no—
40C2×#3710C2211yescharacteristic
41C32×#103C2211yescharacteristic
42#63662C2211yescharacteristic
43#63648C2211yescharacteristic
44#63636C2211yescharacteristic
45C3×#835C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#816C2211yescharacteristic
49C3×C8×Dic3C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53#63566C2211yescharacteristic
54#63565C2211yescharacteristic
55#63564C2211yescharacteristic
56#63564C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5728—31no—
62#5725—31no—
63#5688—31no—
64#5668—31no—
65C3×#488—31no—
66C3×#487—31no—
67#5088—31no—
68#5079—31no—
69#5068—31no—
70#5056—31no—
71#4804—31no—
72#4804—31no—
73#4804—31no—
74#4804—31no—
75#4804—31no—
76#4804—31no—
77#4804—61no—
78#4800—31no—
79#4800—31no—
80#4800—31no—
81#4800D311yescharacteristic, complemented
82#4792—31no—
83#4792D311yescharacteristic, complemented
84#4772—31no—
85#4772—31no—
86#4760—31no—
87#4760—31no—
88#4697—31no—
89#4694—31no—
90C4×D3×C8—31no—
91C4×D3×C8—31no—
92C2×C32×Q8C2311yescharacteristic
93#3832—22no—
94#3832—22no—
95C2×C4⋊(C3⋊D3)—21no—
96C2×C4⋊(C3⋊D3)C2311yescharacteristic
97C2×C4×C3⋊D3—21no—
98C2×C4×C3⋊D3C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×Dic6—21no—
101C2×C3×Dic6C2311yescharacteristic
102C2×#627—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#626—21no—
106C2×#624D411yescharacteristic
107C2×#624D411yescharacteristic
108C2×D3×Dic3—21no—
109#3796—22no—
110#3796—22no—
111C2×C32×C8C2311yescharacteristic
112C32×C4⋊C4C2311yescharacteristic
113#3752—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4×C3⋊Dic3—21no—
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C8×C3⋊D3—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134#3722—21no—
135#3722—21no—
136#3722—21no—
137Dic32—21no—
138Dic32D411yescharacteristic
139Dic32D411yescharacteristic
140#3710—22no—
141#3131—91noSylow
142C2×#239—31no—
143C2×#239—31no—
144C2×#239—31no—
145C2×#239—61no—
146C2×#237—31no—
147C3×C4⋊Q8—31no—
148C3×C4⋊Q8—31no—
149C3×#125—31no—
150C3×#124—31no—
151#947—31no—
152#947C2×D311yescharacteristic
153#946—61no—
154Q8×Dic3—61no—
155#944C2×D311yescharacteristic
156#940—31no—
157C2×D3×C8—31no—
158C2×D3×C8—31no—
159C2×D3×C8—31no—
160C2×D3×C8—31no—
161C2×D3×C8—61no—
162#897—61no—
163#896—61no—
164#896—61no—
165#895—61no—
166#895—61no—
167#893—61no—
168#893—61no—
169#892—31no—
170#892—31no—
171#892—31no—
172#892—31no—
173#892—61no—
174#890—31no—
175#890C2×D311yescharacteristic
176#888—31no—
177#888C2×D311yescharacteristic
178#887—61no—
179#887—61no—
180#887—61no—
181#884—61no—
182#884—61no—
183#67⋊C4—61no—
184#67⋊C4—61no—
185#875—31no—
186#874—31no—
187C42×D3—31no—
188C42×D3—31no—
189#870—31no—
190#869—31no—
191C3×#103—21no—
192C3×#103—31no—
193C3×#103—31no—
194C3×#103—31no—
195C3×#103—31no—
196C3×#103C2×D311yescharacteristic
197C3×#103C2×D311yescharacteristic
198C3×#102—31no—
199C3×#102—31no—
200C3×C4×C8—31no—
201C3×C4×C8—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—61no—
207#835C2×D311yescharacteristic
208#835C2×D311yescharacteristic
209#832—31no—
210#832—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—31no—
215#821—31no—
216#821—61no—
217#821C2×D311yescharacteristic
218#816—31no—
219#816C2×D311yescharacteristic
220C8×Dic3—31no—
221C8×Dic3—31no—
222C8×Dic3C2×D311yescharacteristic
223C8×Dic3C2×D311yescharacteristic
224#810—31no—
225#810C2×D311yescharacteristic
226#809—31no—
227#809—31no—
228#809—31no—
229#809—31no—
230#809—31no—
231#809—61no—
232#809C2×D311yescharacteristic
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C22×C3⋊D3—21no—
236C22×C3⋊D3C2×D411yescharacteristic
237C22×C3×D3—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—42no—
248C4×C3⋊D3—42no—
249C4×C3⋊D3#4112yes—
250C4×C3⋊D3#4112yes—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12—21no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—42no—
263#627—42no—
264#626—42no—
265#626—42no—
266#626—42no—
267#624—22no—
268#624—22no—
269D3×Dic3—42no—
270C32×C8—21no—
271C3⋊(C3⋊C8)—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#533—91no—
275#532—91no—
276#488—31no—
277#488—91no—
278#488—91no—
279#488—91no—
280#487—31no—
281#487—91no—
282#486—91no—
283#486—91no—
284#416—91no—
285#416—91no—
286#416—91no—
287#416—91no—
288C2×C4×C8—91no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8—61no—
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×D4—31no—
295C2×#67—61no—
296C2×#67—61no—
297C2×#67—61no—
298C22×Dic3—61no—
299#239—62no—
300#239—62no—
301#239—62no—
302#239—62no—
303#239—62no—
304#239—62no—
305#239—64no—
306#239—122no—
307#237—62no—
308#237—62no—
309C2×D12—31no—
310C2×D12—31no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—61no—
315C2×D12—61no—
316C2×D12—61no—
317C2×D12—121no—
318C2×D12C22×D311yescharacteristic
319C2×C4×D3—31no—
320C2×C4×D3—31no—
321C2×C4×D3—31no—
322C2×C4×D3—31no—
323C2×C4×D3—31no—
324C2×C4×D3—31no—
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×C4×D3—61no—
329C2×C4×D3—121no—
330C2×Dic6—21no—
331C2×Dic6—61no—
332C2×Dic6—61no—
333C2×Dic6C22×D311yescharacteristic
334C2×C3×C8—21no—
335C2×C3×C8—31no—
336C2×C3×C8—31no—
337C2×C3×C8C22×D311yescharacteristic
338C2×C3×C8C22×D311yescharacteristic
339C3×C4⋊C4—21no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4—31no—
342C3×C4⋊C4—61no—
343C3×C4⋊C4—61no—
344C3×C4⋊C4—61no—
345C3×C4⋊C4—61no—
346C3×C4⋊C4—61no—
347C3×C4⋊C4C22×D311yescharacteristic
348C3×C4⋊C4C22×D311yescharacteristic
349C3×C22⋊C4—61no—
350C3×C22⋊C4—61no—
351C3×C42—31no—
352C3×C42—31no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—121no—
364C4⋊Dic3—21no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—21no—
375Dic3⋊C4—21no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—121no—
389C4×Dic3C22×D311yescharacteristic
390C4×Dic3C22×D311yescharacteristic
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396D3×C8—62no—
397D3×C8—62no—
398D3×C8—62no—
399D3×C8—62no—
400D3×C8—122no—
401C22×C32C22×D411yescharacteristic
402C2×C3⋊D3—21no—
403C2×C3⋊D3—21no—
404C2×C3⋊D3—41no—
405C2×C3⋊D3—41no—
406C2×C3⋊D3—41no—
407C2×C3⋊D3#12412yes—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C32×C4—41no—
412C32×C4—41no—
413C32×C4C2×#4111yescharacteristic
414C32×C4C2×#4111yescharacteristic
415C3⋊Dic3—41no—
416C3⋊Dic3#12412yes—
417C3×Dic3—21no—
418C3×Dic3—21no—
419C3×Dic3—41no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3#13512yes—
423C3×Dic3#13512yes—
424C2×#41—91no—
425C2×#41—91no—
426C22×C8—91no—
427C22×C8—91no—
428C4⋊Q8—31no—
429C4⋊Q8—31no—
430C4⋊Q8—91no—
431#127—91no—
432#125—31no—
433#125—91no—
434#124—31no—
435#124—91no—
436C22⋊Q8—181no—
437C22⋊Q8—181no—
438#121—181no—
439#121—181no—
440C4×Q8—181no—
441C4×Q8—181no—
442C4×D4—181no—
443C4×D4—181no—
444#117—91no—
445#117—91no—
446C2×C42—91no—
447#103—31no—
448#103—31no—
449#103—31no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#103D3211yescharacteristic
455#102—31no—
456#102—31no—
457#102—91no—
458#102—91no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102—91no—
463C4×C8—31no—
464C4×C8—31no—
465C4×C8—91no—
466C4×C8—91no—
467C23×C3—61no—
468C22×D3—21no—
469C22×D3—31no—
470C22×D3—31no—
471C22×D3—61no—
472C22×D3—61no—
473C22×D3—61no—
474C22×D3—121no—
475C3×Q8—22no—
476C3×Q8—21no—
477C3×Q8—21no—
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—41no—
481C3×Q8—61no—
482C3×Q8—61no—
483C3×Q8—122no—
484C3×D4—61no—
485C3×D4—61no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—41no—
496C2×C3×C4—41no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4C23×D311yescharacteristic
501C2×C3×C4C23×D311yescharacteristic
502#67—122no—
503#67—122no—
504#67—122no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—121no—
514C2×Dic3—122no—
515C2×Dic3D3×D411yescharacteristic
516C2×Dic3D3×D411yescharacteristic
517C2×Dic3D3×D411yescharacteristic
518C2×Dic3D3×D411yescharacteristic
519D12—21no—
520D12—21no—
521D12—62no—
522D12—61no—
523D12—61no—
524D12—61no—
525D12—61no—
526D12—121no—
527D12—122no—
528D12—122no—
529D12—122no—
530D12—122no—
531D12—124no—
532D12—122no—
533C4×D3—32no—
534C4×D3—32no—
535C4×D3—32no—
536C4×D3—32no—
537C4×D3—62no—
538C4×D3—62no—
539C4×D3—62no—
540C4×D3—62no—
541C4×D3—62no—
542C4×D3—62no—
543C4×D3—122no—
544C4×D3—122no—
545C4×D3—122no—
546C4×D3—124no—
547Dic6—21no—
548Dic6—21no—
549Dic6—42no—
550Dic6—122no—
551Dic6—122no—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—41no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C3⋊C8—61no—
560C3⋊C8—61no—
561C3⋊C8—121no—
562C2×C32C2×#12411yescharacteristic
563C2×C32C2×#13511yescharacteristic
564C2×C32C2×#13511yescharacteristic
565C3⋊D3—22no—
566C3⋊D3—81no—
567C3×D3—81no—
568#41—182no—
569#41—182no—
570#41—182no—
571#41—182no—
572C2×Q8—31no—
573C2×Q8—61no—
574C2×Q8—181no—
575C2×Q8C2×D3211yescharacteristic
576C2×D4—31no—
577C2×D4—91no—
578C2×D4—181no—
579C2×D4—181no—
580C2×D4—181no—
581C2×D4—181no—
582C22×C4—91no—
583C22×C4—91no—
584C22×C4—91no—
585C22×C4—181no—
586C22×C4—181no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—91no—
590C2×C8—182no—
591C2×C8—182no—
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—61no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—91no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4C2×D3211yescharacteristic
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C42—31no—
612C42—31no—
613C42—91no—
614C42—91no—
615C42—181no—
616C42—181no—
617C22×C3—21no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—32no—
624C2×D3—32no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—62no—
629C2×D3—61no—
630C2×D3—61no—
631C2×D3—61no—
632C2×D3—61no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—122no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—241no—
643C2×D3—241no—
644C3×C4—21no—
645C3×C4—21no—
646C3×C4—32no—
647C3×C4—32no—
648C3×C4—42no—
649C3×C4—41no—
650C3×C4—41no—
651C3×C4—41no—
652C3×C4—41no—
653C3×C4—61no—
654C3×C4—61no—
655C3×C4—81no—
656C3×C4—121no—
657C3×C4—121no—
658C3×C4—121no—
659C3×C4D3×#4111yescharacteristic
660C3×C4D3×#4111yescharacteristic
661C3×C4D3×#4111yescharacteristic
662C3×C4D3×#4111yescharacteristic
663Dic3—21no—
664Dic3—21no—
665Dic3—32no—
666Dic3—32no—
667Dic3—41no—
668Dic3—41no—
669Dic3—41no—
670Dic3—62no—
671Dic3—121no—
672Dic3—121no—
673Dic3—241no—
674Dic3#91612yes—
675Dic3#91912yes—
676C32#313111yescharacteristic, complemented, Sylow
677C23—61no—
678C23—91no—
679C23—181no—
680Q8—21no—
681Q8—21no—
682Q8—61no—
683Q8—61no—
684Q8—122no—
685Q8—362no—
686D4—61no—
687D4—61no—
688D4—181no—
689D4—181no—
690D4—362no—
691D4—362no—
692D4—362no—
693D4—362no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—31no—
697C2×C4—31no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—91no—
704C2×C4—92no—
705C2×C4—92no—
706C2×C4—182no—
707C2×C4—182no—
708C2×C4—181no—
709C2×C4—362no—
710C2×C4—362no—
711C2×C4C22×D3211yescharacteristic
712C8—21no—
713C8—61no—
714C8—61no—
715C8—181no—
716C2×C3—21no—
717C2×C3—21no—
718C2×C3—21no—
719C2×C3—241no—
720C2×C3D3×#12411yescharacteristic
721C2×C3D3×#12411yescharacteristic
722C2×C3C2×#91611yescharacteristic
723C2×C3C2×#91911yescharacteristic
724C2×C3D3×#13511yescharacteristic
725C2×C3D3×#13511yescharacteristic
726D3—62no—
727D3—62no—
728D3—81no—
729D3—122no—
730D3—242no—
731D3—241no—
732D3—241no—
733C22—92no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—181no—
738C22—181no—
739C22—361no—
740C22—361no—
741C22—361no—
742C22D32×D411yescharacteristic
743C4—32no—
744C4—32no—
745C4—41no—
746C4—41no—
747C4—61no—
748C4—61no—
749C4—92no—
750C4—121no—
751C4—121no—
752C4—121no—
753C4—361no—
754C4#6430611yescharacteristic
755C4#6431211yescharacteristic
756C3—21no—
757C3#8159811yescharacteristic, complemented
758C3#8163711yescharacteristic, complemented
759C2—182no—
760C2—241no—
761C2—721no—
762C2#1059428811yescharacteristic
763C2D3×#91611yescharacteristic
764C2D3×#91911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10595363C2
hypercenter#103D32
hypocenterC32#3131
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
2. #10594448C2semidirect
3. #10592503C2semidirect
4. C3×#4800C2semidirect
5. C3×#4792C2semidirect
6. #10591623C2semidirect
7. #10591614C2semidirect
8. #10591560C2semidirect
9. #10590956C2semidirect
10. #10590878C2semidirect
11. #10590872C2semidirect
12. C8×#624C2semidirect
13. #10590611C2semidirect
14. #10590548C2semidirect
15. #10590537C2semidirect
81. #4800D3semidirect
83. #4792D3semidirect
676. C32#3131semidirect
757. C3#81598semidirect
758. C3#81637semidirect

Maximal subgroups

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

subgroupindex
#105953632
#105944482
#105925032
C3×#48002
C3×#47922
#105916232
#105916142
#105915602
#105909562
#105908782
#105908722
C8×#6242
#105906112
#105905482
#105905372
#816373
#815983