Finite Group Databasebeta

← #11882273

Subgroups — #11882273

Order 1152.

832 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594387C211yesmaximal, characteristic, complemented
2#10594367C211yesmaximal, characteristic
3#10592553C211yesmaximal, characteristic, complemented
4C3×#4870C211yesmaximal, characteristic, complemented
5C3×#4864C211yesmaximal, characteristic, complemented
6#10590876C211yesmaximal, characteristic, complemented
7#10590825C211yesmaximal, characteristic, complemented
8#10590752C211yesmaximal, characteristic, complemented
9D3×Dic3⋊C8C211yesmaximal, characteristic, complemented
10#10590578C211yesmaximal, characteristic, complemented
11#10590559C211yesmaximal, characteristic, complemented
12#10590553C211yesmaximal, characteristic, complemented
13#10590501C211yesmaximal, characteristic, complemented
14#10590497C211yesmaximal, characteristic, complemented
15#10590465C211yesmaximal, characteristic, complemented
16#81070—31nomaximal
17#80640—31nomaximal
18C2×#3795—21no—
19#64097C2211yescharacteristic
20#64096C2211yescharacteristic
21C2×C3×#204C2211yescharacteristic
22C2×C3×D3×C8C2211yescharacteristic
23C3×#897C2211yescharacteristic
24C3×#895C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#888C2211yescharacteristic
27#63914C2211yescharacteristic
28#63913—21no—
29#63908C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31#63887—21no—
32#63885—21no—
33#63879—21no—
34#63878—21no—
35C4×D3×Dic3C2211yescharacteristic
36#63866C2211yescharacteristic
37#63857C2211yescharacteristic
38#63846—21no—
39#63843—21no—
40#63843C2211yescharacteristic
41C2×#3716C2211yescharacteristic
42C2×#3716C2211yescharacteristic
43C2×#3715C2211yescharacteristic
44C2×D3×C3⋊C8C2211yescharacteristic
45C32×#106C2211yescharacteristic
46#63643C2211yescharacteristic
47#63641C2211yescharacteristic
48#63637C2211yescharacteristic
49#63635C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×#809C2211yescharacteristic
55C3×#808C2211yescharacteristic
56#63573C2211yescharacteristic
57#63572C2211yescharacteristic
58Dic3⋊(C3⋊C8)C2211yescharacteristic
59#63566C2211yescharacteristic
60#63562C2211yescharacteristic
61#5728—31no—
62#5622—31no—
63#5596—31no—
64#5548—31no—
65C3×#476—31no—
66C3×#465—31no—
67#5163—31no—
68#5162—31no—
69#5114—31no—
70C2×Dic3⋊C8—31no—
71#5084—31no—
72#5048—31no—
73#5041—31no—
74#5019—31no—
75#4870D311yescharacteristic, complemented
76#4864—31no—
77#4864D311yescharacteristic, complemented
78#4854—31no—
79#4854—31no—
80#4854—31no—
81#4854—61no—
82#4841—31no—
83D3×C4⋊C8—31no—
84#4818—31no—
85#4791—31no—
86#4778—31no—
87#4778—31no—
88#4762—31no—
89#4762—31no—
90#4762—31no—
91#4761—31no—
92C2×#634—21no—
93C2×#634C2311yescharacteristic
94C2×C3×D12—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6—21no—
100C2×C3×Dic6C2311yescharacteristic
101C2×#625—21no—
102C2×#625—21no—
103C2×#625—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3D411yescharacteristic
106C2×D3×Dic3D411yescharacteristic
107#3795—44no—
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C4×C3⋊Dic3—21no—
115C4×C3⋊Dic3C2311yescharacteristic
116C2×C3⋊(C3⋊C8)C2311yescharacteristic
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×#204—41no—
127C3×D3×C8—41no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32D411yescharacteristic
137Dic32D411yescharacteristic
138#3716—41no—
139#3716—41no—
140#3715—41no—
141D3×C3⋊C8—41no—
142#3246—91noSylow
143C2×#237—61no—
144C2×#235—61no—
145C2×C3×SD16—31no—
146C22×C3×C8—31no—
147C3×C4⋊Q8—31no—
148C3×C22⋊Q8—31no—
149C3×#121—31no—
150C3×C4×D4—31no—
151#946—61no—
152Q8×Dic3—31no—
153Q8×Dic3—61no—
154#944—31no—
155C2×#215—31no—
156#940—31no—
157#940—31no—
158#939—61no—
159#938—31no—
160D4×Dic3—31no—
161C2×#214—31no—
162C2×#214—31no—
163C2×#214—31no—
164#930—31no—
165C4×#67—61no—
166#924—31no—
167C2×C4×Dic3—31no—
168C22×C3⋊C8—31no—
169C2×#204—31no—
170C2×#204—31no—
171C2×#204C2×D311yescharacteristic
172C2×D3×C8—31no—
173C2×D3×C8C2×D311yescharacteristic
174#897—31no—
175#897C2×D311yescharacteristic
176#895C2×D311yescharacteristic
177#893C2×D311yescharacteristic
178#892—61no—
179#890—61no—
180#889—61no—
181#888—31no—
182#888—31no—
183#888—61no—
184#888C2×D311yescharacteristic
185#887—31no—
186#887—31no—
187#887—31no—
188#887—61no—
189#887—61no—
190#885—61no—
191#885—61no—
192#884—61no—
193#67⋊C4—61no—
194#878—61no—
195#877—61no—
196C4×D12—31no—
197C42×D3—31no—
198#869—31no—
199C3×#106—21no—
200C3×#106—31no—
201C3×#106C2×D311yescharacteristic
202C3×#106C2×D311yescharacteristic
203C3×C4⋊C8—31no—
204C3×#103—31no—
205C3×#102—31no—
206C3×#102—31no—
207C3×#102—31no—
208#835—31no—
209#832—31no—
210#821C2×D311yescharacteristic
211#817—31no—
212#816—31no—
213#816—31no—
214#816—31no—
215#816—61no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—61no—
222Dic3⋊C8C2×D311yescharacteristic
223#810—31no—
224#810—31no—
225#810—61no—
226#810C2×D311yescharacteristic
227#809—31no—
228#809C2×D311yescharacteristic
229#809C2×D311yescharacteristic
230#808—31no—
231#808—31no—
232#808—31no—
233#808—61no—
234#808C2×D311yescharacteristic
235C4⋊(C3⋊C8)—31no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246#634—21no—
247#634—21no—
248#634—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—42no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—42no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—42no—
265#625—42no—
266#625—42no—
267#625—42no—
268D3×Dic3—41no—
269D3×Dic3—42no—
270D3×Dic3SD1614yescomplemented
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#533—91no—
276#532—91no—
277#476—31no—
278#476—91no—
279#475—91no—
280#475—91no—
281#465—31no—
282#465—91no—
283#465—91no—
284#465—91no—
285#461—91no—
286#461—91no—
287#460—91no—
288#460—91no—
289C2×C4⋊C8—91no—
290C2×C3×Q8—31no—
291C2×C3×Q8—61no—
292C2×C3×D4—31no—
293C2×C3×D4—31no—
294C2×C3×D4—61no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C2×#67—61no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—61no—
303C22×Dic3—31no—
304C22×Dic3—31no—
305C22×Dic3—61no—
306#237—124no—
307#235—124no—
308C2×D12—21no—
309C2×D12C22×D311yescharacteristic
310C2×D12C22×D311yescharacteristic
311C2×C4×D3—21no—
312C2×C4×D3—31no—
313C2×C4×D3—31no—
314C2×C4×D3—61no—
315C2×C4×D3C22×D311yescharacteristic
316C2×Dic6—21no—
317C2×Dic6—31no—
318C2×Dic6—31no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6C22×D311yescharacteristic
324C3×SD16—121no—
325C2×C3×C8—21no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8—121no—
329C2×C3×C8C22×D311yescharacteristic
330C2×C3×C8C22×D311yescharacteristic
331C3×C4⋊C4—21no—
332C3×C4⋊C4—21no—
333C3×C4⋊C4—31no—
334C3×C4⋊C4—61no—
335C3×C4⋊C4—61no—
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C42—31no—
344#217—61no—
345#217—61no—
346#217—61no—
347#215—121no—
348#214—121no—
349#214—121no—
350#214—121no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3C22×D311yescharacteristic
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—121no—
376Dic3⋊C4—121no—
377C4×Dic3—31no—
378C4×Dic3—31no—
379C4×Dic3—31no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—121no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8—121no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396#204—41no—
397#204—121no—
398#204—121no—
399D3×C8—41no—
400D3×C8—121no—
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—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3C2×SD1612yes—
411C32×C4—41no—
412C32×C4—41no—
413C32×C4H(5,𝔽2)11yescharacteristic
414C32×C42−1+411yescharacteristic
415C3⋊Dic3—21no—
416C3⋊Dic3—41no—
417C3⋊Dic3—41no—
418C3⋊Dic3C2×SD1612yes—
419C3×Dic3—21no—
420C3×Dic3—21no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3C2×SD1612yes—
424C2×#41—181no—
425C2×SD16—31no—
426C2×SD16—91no—
427C2×SD16—91no—
428C2×SD16—91no—
429C22×C8—31no—
430C22×C8—91no—
431C4⋊Q8—31no—
432C4⋊Q8—91no—
433C4⋊Q8—91no—
434#127—91no—
435#125—181no—
436#124—181no—
437C22⋊Q8—31no—
438C22⋊Q8—91no—
439C22⋊Q8—181no—
440#121—31no—
441#121—91no—
442#121—181no—
443C4×Q8—91no—
444C4×Q8—91no—
445C4×Q8—181no—
446C4×D4—31no—
447C4×D4—91no—
448C4×D4—181no—
449#117—181no—
450C2×C42—91no—
451#106—31no—
452#106—91no—
453#106—91no—
454#106D3211yescharacteristic
455C4⋊C8—31no—
456C4⋊C8—91no—
457C4⋊C8—91no—
458C4⋊C8—91no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#102—31no—
464#102—31no—
465#102—31no—
466#102—91no—
467C23×C3—31no—
468C23×C3—61no—
469C23×C3—61no—
470C22×D3—21no—
471C22×D3—21no—
472C22×D3D3×D411yescharacteristic
473C3×Q8—61no—
474C3×Q8—61no—
475C3×Q8—122no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—122no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—41no—
490C2×C3×C4—41no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—122no—
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498#67—122no—
499#67—122no—
500#67—122no—
501#67—122no—
502#67—122no—
503#67—122no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—34no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—121no—
520C2×Dic3—122no—
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—21no—
525D12—21no—
526D12—21no—
527D12—21no—
528D12—42no—
529C4×D3—21no—
530C4×D3—21no—
531C4×D3—34no—
532C4×D3—42no—
533C4×D3—121no—
534C4×D3—122no—
535Dic6—21no—
536Dic6—21no—
537Dic6—42no—
538Dic6—62no—
539Dic6—61no—
540Dic6—61no—
541Dic6—61no—
542Dic6—61no—
543Dic6—121no—
544Dic6—122no—
545Dic6—122no—
546Dic6—242no—
547C3×C8—21no—
548C3×C8—21no—
549C3×C8—41no—
550C3×C8—61no—
551C3×C8—61no—
552C3⋊C8—21no—
553C3⋊C8—21no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—121no—
557C2×C32#53711yescharacteristic
558C2×C32C22×SD1611yescharacteristic
559C2×C32#57511yescharacteristic
560C3×D3—22no—
561C3×D3—81no—
562C3×D3—81no—
563#41—364no—
564C2×Q8—31no—
565C2×Q8—61no—
566C2×Q8—91no—
567C2×Q8—181no—
568C2×D4—31no—
569C2×D4—31no—
570C2×D4—61no—
571C2×D4—181no—
572C2×D4—181no—
573C2×D4—181no—
574C22×C4—31no—
575C22×C4—61no—
576C22×C4—91no—
577C22×C4—91no—
578C22×C4—181no—
579SD16—121no—
580SD16—361no—
581SD16—361no—
582SD16—361no—
583C2×C8—31no—
584C2×C8—31no—
585C2×C8—91no—
586C2×C8—121no—
587C2×C8—361no—
588C2×C8C2×D3211yescharacteristic
589C4⋊C4—31no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4—91no—
593C4⋊C4—181no—
594C4⋊C4—181no—
595C4⋊C4—181no—
596C4⋊C4—181no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4C2×D3211yescharacteristic
600C4⋊C4C2×D3211yescharacteristic
601C22⋊C4—61no—
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C42—31no—
608C42—91no—
609C42—91no—
610C42—91no—
611C42—181no—
612C42—181no—
613C22×C3—21no—
614C22×C3—32no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3C2×D3×D411yescharacteristic
624C22×C3C2×D3×D411yescharacteristic
625C2×D3—21no—
626C2×D3—21no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—41no—
632C2×D3—41no—
633C2×D3D3×SD1612yes—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—32no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—81no—
644C3×C4—81no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4#100411yescharacteristic
648C3×C4#100711yescharacteristic
649C3×C4#100911yescharacteristic
650C3×C4#101011yescharacteristic
651Dic3—21no—
652Dic3—21no—
653Dic3—32no—
654Dic3—32no—
655Dic3—41no—
656Dic3—41no—
657Dic3—62no—
658Dic3—61no—
659Dic3—61no—
660Dic3—121no—
661Dic3—122no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—121no—
666Dic3—241no—
667Dic3D3×SD1612yes—
668C32#324611yescharacteristic, complemented, Sylow
669C23—31no—
670C23—61no—
671C23—61no—
672Q8—61no—
673Q8—61no—
674Q8—122no—
675Q8—181no—
676Q8—181no—
677Q8—362no—
678D4—61no—
679D4—61no—
680D4—61no—
681D4—61no—
682D4—122no—
683D4—362no—
684D4—362no—
685D4—362no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—31no—
689C2×C4—31no—
690C2×C4—31no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—94no—
696C2×C4—91no—
697C2×C4—91no—
698C2×C4—122no—
699C2×C4—181no—
700C2×C4—181no—
701C2×C4—362no—
702C2×C4—361no—
703C2×C4C22×D3211yescharacteristic
704C8—21no—
705C8—61no—
706C8—61no—
707C8—181no—
708C2×C3—21no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—62no—
712C2×C3—241no—
713C2×C3—241no—
714C2×C3#559711yescharacteristic
715C2×C3#562911yescharacteristic
716C2×C3C2×D3×SD1611yescharacteristic
717C2×C3C2×D3×SD1611yescharacteristic
718C2×C3#576811yescharacteristic
719C2×C3#577311yescharacteristic
720D3—22no—
721D3—81no—
722D3—81no—
723C22—32no—
724C22—61no—
725C22—61no—
726C22—121no—
727C22—121no—
728C22—121no—
729C22—121no—
730C22—121no—
731C22—121no—
732C22D32×D411yescharacteristic
733C4—32no—
734C4—41no—
735C4—41no—
736C4—61no—
737C4—61no—
738C4—92no—
739C4—121no—
740C4—121no—
741C4—181no—
742C4—361no—
743C4—361no—
744C4#6430711yescharacteristic
745C4#6431511yescharacteristic
746C3—21no—
747C3#8064011yescharacteristic, complemented
748C3#8107011yescharacteristic, complemented
749C2—62no—
750C2—241no—
751C2—241no—
752C2#1059436811yescharacteristic
753C2D32×SD1611yescharacteristic
754C2#1059474511yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#106C22
socleC22×C32C22×D4
prime radical#10594367C2
hypercenter#106D32
hypocenterC32#3246
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

Complements

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

NH ≅ G/Ntype
1. #10594387C2semidirect
3. #10592553C2semidirect
4. C3×#4870C2semidirect
5. C3×#4864C2semidirect
6. #10590876C2semidirect
7. #10590825C2semidirect
8. #10590752C2semidirect
9. D3×Dic3⋊C8C2semidirect
10. #10590578C2semidirect
11. #10590559C2semidirect
12. #10590553C2semidirect
13. #10590501C2semidirect
14. #10590497C2semidirect
15. #10590465C2semidirect
75. #4870D3semidirect
77. #4864D3semidirect
270. D3×Dic3SD16semidirect
668. C32#3246semidirect
747. C3#80640semidirect
748. C3#81070semidirect

Maximal subgroups

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

subgroupindex
#105943872
#105943672
#105925532
C3×#48702
C3×#48642
#105908762
#105908252
#105907522
D3×Dic3⋊C82
#105905782
#105905592
#105905532
#105905012
#105904972
#105904652
#810703
#806403