Finite Group Databasebeta

← #11675170

Subgroups — #11675170

Order 768.

1802 conjugacy classes of subgroups.

The subgroup lattice has 790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86258C211yesmaximal, characteristic, complemented
2#85788C211yesmaximal, characteristic
3C3×#3077C211yesmaximal, characteristic, complemented
4#83334C211yesmaximal, characteristic, complemented
5C2×C4×#214C211yesmaximal, characteristic, complemented
6#81203C214yesmaximal, complemented
7#81151C214yesmaximal, complemented
8#81091C212yesmaximal, complemented
9#81090C212yesmaximal, complemented
10#80995C212yesmaximal, complemented
11#80994C212yesmaximal, complemented
12#79244C212yesmaximal, complemented
13#79202C212yesmaximal, complemented
14#79067C211yesmaximal, characteristic, complemented
15#79044C211yesmaximal, characteristic, complemented
16#78945C212yesmaximal, complemented
17#78920C212yesmaximal, complemented
18#61327—31nomaximal, Sylow
19C3×#533C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21#5805C2212yes—
22C22×#214C2211yescharacteristic
23#5791—22no—
24C2×#909C2212yes—
25#5722C2212yescomplemented
26#5721C2212yescomplemented
27#5685C2214yescomplemented
28#5623—22no—
29#5622—22no—
30#5567—22no—
31#5567—21no—
32Q8×Dic6—21no—
33#5563—21no—
34#5559C2214yes—
35#5558—22no—
36#5553C2212yes—
37#5551—21no—
38#5542C2212yes—
39#5519C2212yes—
40#5516C2212yes—
41#5504C2212yes—
42#5494—22no—
43#5477C2211yescharacteristic
44#5470C2211yescharacteristic
45C2×C4×Dic6C2211yescharacteristic
46C3×#478C2214yes—
47C3×#476C2212yes—
48C3×#474C2212yes—
49C3×#428C2212yes—
50C3×#423C2211yescharacteristic
51C3×#418C2212yes—
52C2×#832C2211yescharacteristic
53#5133C2212yes—
54#5122C2212yes—
55#5119C2212yes—
56#5093C2211yescharacteristic, complemented
57#5093C2211yescharacteristic, complemented
58#5088C2211yescharacteristic, complemented
59#5088C2211yescharacteristic, complemented
60#5068C2212yescomplemented
61#5068C2212yescomplemented
62C4×#214C2212yes—
63C4×#214C2212yes—
64C4×#214C2212yes—
65C4×#214C2212yes—
66#5002C2212yes—
67#5002C2212yes—
68C2×#810C2211yescharacteristic
69C2×#808C2211yescharacteristic
70C2×C4×C3⋊C8C2211yescharacteristic
71#4891C2214yescomplemented
72#4889C2214yescomplemented
73#4877C2214yescomplemented
74#4873C2214yescomplemented
75#4870C2214yescomplemented
76#4854C2214yescomplemented
77#4853C2214yescomplemented
78#4852C2214yescomplemented
79#4849C2212yescomplemented
80#4848C2212yescomplemented
81#4845C2214yescomplemented
82#4831C2212yescomplemented
83#4831C2212yescomplemented
84#4830C2212yescomplemented
85#4830C2212yescomplemented
86#4768C2214yes—
87#4767C2214yes—
88#4767C2214yes—
89#4765C2214yes—
90#4764C2214yes—
91#4762C2214yes—
92#4762C2214yes—
93#4760C2214yes—
94#3506—31no—
95#3502—31no—
96#3371—34no—
97#3369—32no—
98#3368—32no—
99#3365—34no—
100#3364—32no—
101#3362—32no—
102#3136—32no—
103#3131—31no—
104#3084—32no—
105#3077D311yescharacteristic, complemented
106#3043—32no—
107#3037—31no—
108#2960—31no—
109#2947—32no—
110C2×C4×SD16—31no—
111C22×C3×D4C2311yescharacteristic
112C23×C3×C4—21no—
113C2×#235—22no—
114C2×#235C2312yes—
115C22×Dic6C2311yescharacteristic
116C2×C3×M16C2312yes—
117C3×C4⋊Q8C2311yescharacteristic
118C3×C4⋊Q8C2311yescharacteristic
119C3×#125C2312yes—
120C3×C22⋊Q8—21no—
121C3×C22⋊Q8—21no—
122C3×C4×Q8—21no—
123C3×C4×Q8—21no—
124C3×C4×D4—21no—
125C3×C4×D4—21no—
126C3×C4×D4C2312yes—
127C3×C4×D4C2312yes—
128C3×#117C2312yes—
129C2×C3×C4⋊C4C2311yescharacteristic
130C2×C3×C22⋊C4—21no—
131C2×C3×C42C2311yescharacteristic
132#953—24no—
133Q8×Dic3—22no—
134#944—22no—
135#944—24no—
136#940C2314yes—
137#938—22no—
138#938—22no—
139#936C2314yes—
140C2×#214—24no—
141C2×#214C2312yes—
142C2×#214C2312yes—
143#930—21no—
144#930—21no—
145#930—22no—
146#929—24no—
147C4×#67—24no—
148C4×#67—24no—
149#926—22no—
150#926C2312yes—
151C2×C4⋊Dic3C2311yescharacteristic
152#924—22no—
153#924D412yes—
154#924D412yes—
155C2×Dic3⋊C4—21no—
156C2×C4×Dic3—21no—
157C22×C3⋊C8C2311yescharacteristic
158C22×C3⋊C8C2311yescharacteristic
159#909—28no—
160C2×Dic12C2314yes—
161C2×#204C2314yes—
162#893C2314yes—
163#892—22no—
164D3×C4⋊C4—22no—
165#890C2314yes—
166#889—24no—
167#889—24no—
168#889—24no—
169#888—24no—
170#888—22no—
171#888C2314yes—
172#887—22no—
173#887—24no—
174#887C2314yes—
175#887C2314yes—
176#887C2314yes—
177#885—24no—
178#884—24no—
179#883—24no—
180#879—24no—
181#878—24no—
182#877—24no—
183#875C2312yes—
184#874C2311yescharacteristic
185C4×D12—21no—
186C4×D12—21no—
187#870—22no—
188#870D412yes—
189#869—22no—
190#869D411yescharacteristic
191#869D411yescharacteristic
192#869C2311yescharacteristic
193C4×Dic6—21no—
194C4×Dic6—21no—
195C4×Dic6—22no—
196C4×Dic6—22no—
197C4×Dic6C2312yes—
198C4×Dic6C2312yes—
199C4×Dic6C2312yes—
200C4×Dic6C2312yes—
201C3×#107C2314yes—
202C3×#106C2314yes—
203C3×C4⋊C8C2312yes—
204C3×C4⋊C8C2312yes—
205C3×#102C2314yes—
206C3×#102C2314yes—
207#832C2312yes—
208#832C2312yes—
209#821C2314yes—
210#816C2314yes—
211#815C2314yes—
212Dic3⋊C8C2314yes—
213Dic3⋊C8C2314yes—
214C8×Dic3C2314yes—
215#810C2312yes—
216#810C2312yes—
217#810C2312yes—
218#810C2312yes—
219#810C2312yes—
220#810C2312yes—
221#809C2312yes—
222#809C2312yes—
223#809C2312yes—
224#809C2312yes—
225#808C2312yes—
226#808C2312yes—
227C4×C3⋊C8C2311yescharacteristic
228C4×C3⋊C8C2311yescharacteristic
229C4×C3⋊C8C2311yescharacteristic
230C4×C3⋊C8C2311yescharacteristic
231C2×#137—32no—
232C22×SD16—31no—
233#559—34no—
234Q82—32no—
235Q82—61no—
236#557—32no—
237#557—34no—
238#557—62no—
239#557—61no—
240#556—32no—
241#555—61no—
242#553—62no—
243#550—32no—
244#547—61no—
245#544—32no—
246#544—62no—
247#538—62no—
248#535—32no—
249#533—31no—
250#533—62no—
251#533C2×D311yescharacteristic
252#532—31no—
253#525—62no—
254#520—32no—
255#519—32no—
256C2×C4×Q8—31no—
257C2×C4×D4C2×D311yescharacteristic
258#490—34no—
259#489—34no—
260#488—32no—
261#488—32no—
262#488—34no—
263#487—31no—
264#487—31no—
265#486—31no—
266#486—31no—
267#486—34no—
268#479—34no—
269#478—34no—
270#478C2×D314yes—
271#476—34no—
272#476C2×D312yes—
273#475—34no—
274#474C2×D312yes—
275#464—34no—
276#464—34no—
277#464—34no—
278#462—32no—
279#460—32no—
280#460—34no—
281#460—34no—
282#446—32no—
283#446—32no—
284C8×Q8—32no—
285C8×Q8—32no—
286#441—34no—
287#440—34no—
288C4×Q16—34no—
289C4×SD16—32no—
290C4×SD16—32no—
291C4×SD16—32no—
292C4×SD16—32no—
293C4×SD16—34no—
294#428C2×D312yes—
295C2×#106—31no—
296#424—32no—
297#423C2×D311yescharacteristic
298#418C2×D312yes—
299#417—32no—
300#416—32no—
301#416—32no—
302C2×#103—31no—
303C2×#102—31no—
304#405—32no—
305C2×C4×C8—31no—
306C24×C3—21no—
307C2×C3×Q8—21no—
308C2×C3×Q8—21no—
309C2×C3×D4—21no—
310C2×C3×D4—22no—
311C2×C3×D4—22no—
312C2×C3×D4C2412yes—
313C22×C3×C4—21no—
314C22×C3×C4—22no—
315C22×C3×C4—22no—
316C22×C3×C4—82no—
317C22×C3×C4C2×D411yescharacteristic
318C22×C3×C4C2×D411yescharacteristic
319C22×C3×C4C2411yescharacteristic
320C2×#67—22no—
321C2×#67—24no—
322C2×#67—24no—
323C22×Dic3—21no—
324C22×Dic3—21no—
325#235—24no—
326#235—24no—
327#235—84no—
328C2×D12—21no—
329C2×D12—21no—
330C2×D12C2412yes—
331C2×C4×D3—22no—
332C2×C4×D3—24no—
333C2×Dic6—21no—
334C2×Dic6—22no—
335C2×Dic6—24no—
336C2×Dic6C2×D412yes—
337C2×Dic6C2×D412yes—
338C2×Dic6#4114yescomplemented
339C2×Dic6C2412yes—
340C2×Dic6C2412yes—
341C3×M16—24no—
342C2×C3×C8C2414yes—
343C3×C4⋊C4—21no—
344C3×C4⋊C4—22no—
345C3×C4⋊C4—22no—
346C3×C4⋊C4—21no—
347C3×C4⋊C4—21no—
348C3×C4⋊C4C2412yes—
349C3×C4⋊C4C2412yes—
350C3×C4⋊C4C2412yes—
351C3×C22⋊C4—22no—
352C3×C22⋊C4—22no—
353C3×C22⋊C4—22no—
354C3×C42—22no—
355C3×C42C2×D411yescharacteristic
356C3×C42C2×D411yescharacteristic
357C3×C42C2411yescharacteristic
358C3×C42C2411yescharacteristic
359#217—24no—
360#217—24no—
361#217C2×D414yes—
362#214—24no—
363#214—24no—
364(C2×D3)⋊C4—22no—
365(C2×D3)⋊C4—22no—
366(C2×D3)⋊C4—24no—
367C4⋊Dic3—21no—
368C4⋊Dic3—21no—
369C4⋊Dic3—21no—
370C4⋊Dic3—24no—
371C4⋊Dic3C2×D412yes—
372C4⋊Dic3C2×D412yes—
373C4⋊Dic3C2×D412yes—
374C4⋊Dic3C2×D412yes—
375C4⋊Dic3C2412yes—
376Dic3⋊C4—22no—
377Dic3⋊C4—22no—
378Dic3⋊C4—24no—
379Dic3⋊C4—24no—
380Dic3⋊C4—24no—
381Dic3⋊C4—24no—
382Dic3⋊C4—24no—
383Dic3⋊C4C2×D414yes—
384Dic3⋊C4C2×D414yes—
385C4×Dic3—22no—
386C4×Dic3—22no—
387C4×Dic3—24no—
388C4×Dic3—24no—
389C4×Dic3—24no—
390C4×Dic3C2414yes—
391C2×C3⋊C8—22no—
392C2×C3⋊C8—22no—
393C2×C3⋊C8C2411yescharacteristic
394C2×C3⋊C8C2411yescharacteristic
395C2×C3⋊C8C2411yescharacteristic
396C2×C3⋊C8C2411yescharacteristic
397Dic12—28no—
398#204—28no—
399C2×#41—32no—
400C2×#41—62no—
401C22×Q8—31no—
402C22×D4C22×D311yescharacteristic
403C23×C4—21no—
404#137—68no—
405C2×Q16—34no—
406C2×SD16—32no—
407C2×SD16—32no—
408C2×SD16—34no—
409C2×SD16—64no—
410C2×M16C22×D312yes—
411C22×C8—31no—
412C22×C8—31no—
413C4⋊Q8—34no—
414C4⋊Q8—31no—
415C4⋊Q8—31no—
416C4⋊Q8—31no—
417C4⋊Q8—62no—
418C4⋊Q8—62no—
419C4⋊Q8—64no—
420C4⋊Q8—64no—
421C4⋊Q8—62no—
422C4⋊Q8C22×D311yescharacteristic
423C4⋊Q8C22×D311yescharacteristic
424#127—34no—
425#127—31no—
426#126—64no—
427#125—34no—
428#125—32no—
429#125—62no—
430#125—64no—
431#125—64no—
432#125—64no—
433#125C22×D312yes—
434#124—34no—
435#124—32no—
436#124—64no—
437#123—64no—
438#123—64no—
439C22⋊Q8—21no—
440C22⋊Q8—21no—
441C22⋊Q8—32no—
442C22⋊Q8—32no—
443C22⋊Q8—64no—
444C22⋊Q8—62no—
445#121—64no—
446#121—62no—
447#121—62no—
448#121—62no—
449#121—61no—
450#121—61no—
451#120—64no—
452C4×Q8—21no—
453C4×Q8—21no—
454C4×Q8—32no—
455C4×Q8—32no—
456C4×Q8—34no—
457C4×Q8—34no—
458C4×Q8—34no—
459C4×Q8—32no—
460C4×Q8—32no—
461C4×Q8—62no—
462C4×Q8—62no—
463C4×Q8—64no—
464C4×Q8—62no—
465C4×Q8—62no—
466C4×Q8—61no—
467C4×Q8—61no—
468C4×D4—21no—
469C4×D4—21no—
470C4×D4—34no—
471C4×D4—64no—
472C4×D4—64no—
473C4×D4—61no—
474C4×D4—61no—
475C4×D4C22×D312yes—
476C4×D4C22×D312yes—
477#117—32no—
478#117—64no—
479#117—62no—
480#117—62no—
481#117C22×D312yes—
482C2×C4⋊C4—31no—
483C2×C4⋊C4—62no—
484C2×C4⋊C4—61no—
485C2×C4⋊C4C22×D311yescharacteristic
486C2×C22⋊C4—21no—
487C2×C42—61no—
488C2×C42C22×D311yescharacteristic
489#107C22×D314yes—
490#106—32no—
491#106—32no—
492#106C22×D314yes—
493C4⋊C8—34no—
494C4⋊C8—34no—
495C4⋊C8C22×D312yes—
496C4⋊C8C22×D312yes—
497#103—34no—
498#103—32no—
499#103—32no—
500#103—32no—
501#103—32no—
502#103—32no—
503#103—32no—
504#102—32no—
505#102—32no—
506#102—34no—
507#102—32no—
508#102—32no—
509#102—32no—
510#102—32no—
511#102C22×D314yes—
512#102C22×D314yes—
513#97—34no—
514C4×C8—34no—
515C4×C8—31no—
516C4×C8—31no—
517C4×C8—31no—
518C4×C8—31no—
519C23×C3—22no—
520C23×C3—42no—
521C23×C3—81no—
522C23×C3—81no—
523C23×C3C22×D411yescharacteristic
524C22×D3—22no—
525C3×Q8—42no—
526C3×Q8—81no—
527C3×D4—22no—
528C3×D4—22no—
529C3×D4—42no—
530C2×C3×C4—22no—
531C2×C3×C4—22no—
532C2×C3×C4—22no—
533C2×C3×C4—22no—
534C2×C3×C4—41no—
535C2×C3×C4—44no—
536C2×C3×C4—82no—
537C2×C3×C4—81no—
538C2×C3×C4C22×D411yescharacteristic
539C2×C3×C4C22×D411yescharacteristic
540C2×C3×C4C22×D411yescharacteristic
541C2×C3×C4C22×D411yescharacteristic
542C2×C3×C4C22×D411yescharacteristic
543C2×C3×C4C2×#4112yes—
544C2×C3×C42−1+412yes—
545C2×C3×C4C2511yescharacteristic
546#67—44no—
547#67—84no—
548#67—84no—
549C2×Dic3—24no—
550C2×Dic3—22no—
551C2×Dic3—22no—
552C2×Dic3—22no—
553C2×Dic3—81no—
554C2×Dic3C22×D414yes—
555C2×Dic3C22×D414yes—
556D12—22no—
557D12—22no—
558D12—42no—
559D12—81no—
560C4×D3—44no—
561C4×D3—84no—
562Dic6—24no—
563Dic6—24no—
564Dic6—22no—
565Dic6—22no—
566Dic6—22no—
567Dic6—42no—
568Dic6—84no—
569Dic6C2×#4114yes—
570C3×C8—24no—
571C3⋊C8—21no—
572C3⋊C8—21no—
573C3⋊C8—21no—
574C3⋊C8—21no—
575C24—21no—
576#41—64no—
577#41—64no—
578#41—244no—
579C2×Q8—21no—
580C2×Q8—21no—
581C2×Q8—32no—
582C2×Q8—32no—
583C2×Q8—34no—
584C2×Q8—32no—
585C2×Q8—32no—
586C2×Q8—64no—
587C2×Q8—61no—
588C2×Q8—62no—
589C2×D4—21no—
590C2×D4—22no—
591C2×D4—22no—
592C2×D4—32no—
593C2×D4—64no—
594C2×D4—64no—
595C2×D4—62no—
596C2×D4—61no—
597C2×D4—61no—
598C2×D4C23×D312yes—
599C22×C4—21no—
600C22×C4—22no—
601C22×C4—22no—
602C22×C4—64no—
603C22×C4—61no—
604C22×C4—61no—
605C22×C4—62no—
606C22×C4—82no—
607C22×C4D3×D411yescharacteristic
608C22×C4D3×D411yescharacteristic
609C22×C4C23×D311yescharacteristic
610Q16—68no—
611SD16—68no—
612SD16—64no—
613SD16—64no—
614M16—24no—
615C2×C8—31no—
616C2×C8—31no—
617C2×C8—31no—
618C2×C8—31no—
619C2×C8—62no—
620C2×C8—62no—
621C2×C8C23×D314yes—
622C4⋊C4—21no—
623C4⋊C4—22no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—22no—
627C4⋊C4—32no—
628C4⋊C4—32no—
629C4⋊C4—32no—
630C4⋊C4—34no—
631C4⋊C4—34no—
632C4⋊C4—32no—
633C4⋊C4—32no—
634C4⋊C4—64no—
635C4⋊C4—64no—
636C4⋊C4—64no—
637C4⋊C4—64no—
638C4⋊C4—64no—
639C4⋊C4—64no—
640C4⋊C4—61no—
641C4⋊C4—62no—
642C4⋊C4—62no—
643C4⋊C4—61no—
644C4⋊C4—61no—
645C4⋊C4C23×D312yes—
646C4⋊C4C23×D312yes—
647C4⋊C4C23×D312yes—
648C22⋊C4—22no—
649C22⋊C4—22no—
650C22⋊C4—22no—
651C22⋊C4—34no—
652C22⋊C4—64no—
653C22⋊C4—64no—
654C22⋊C4—64no—
655C22⋊C4—62no—
656C22⋊C4—62no—
657C42—22no—
658C42—34no—
659C42—64no—
660C42—64no—
661C42—64no—
662C42—62no—
663C42—62no—
664C42D3×D411yescharacteristic
665C42D3×D411yescharacteristic
666C42C23×D311yescharacteristic
667C42C23×D311yescharacteristic
668C22×C3—21no—
669C22×C3—21no—
670C22×C3—42no—
671C22×C3—42no—
672C22×C3—42no—
673C22×C3—84no—
674C22×C3#54812yes—
675C22×C3C23×D411yescharacteristic
676C2×D3—42no—
677C2×D3—42no—
678C2×D3—42no—
679C3×C4—21no—
680C3×C4—21no—
681C3×C4—21no—
682C3×C4—42no—
683C3×C4—42no—
684C3×C4—42no—
685C3×C4#54812yes—
686C3×C4#57712yes—
687C3×C4C22×#4111yescharacteristic
688C3×C4C2×2−1+411yescharacteristic
689Dic3—24no—
690Dic3—24no—
691Dic3—24no—
692Dic3—42no—
693Dic3—42no—
694C23—22no—
695C23—42no—
696C23—62no—
697C23—81no—
698C23—81no—
699C23C2×D3×D411yescharacteristic
700Q8—34no—
701Q8—42no—
702Q8—64no—
703Q8—62no—
704Q8—64no—
705Q8—62no—
706Q8—62no—
707Q8—81no—
708Q8—122no—
709Q8—244no—
710D4—22no—
711D4—22no—
712D4—42no—
713D4—62no—
714D4—62no—
715D4—124no—
716D4—122no—
717D4—241no—
718D4—244no—
719D4—244no—
720C2×C4—22no—
721C2×C4—22no—
722C2×C4—22no—
723C2×C4—22no—
724C2×C4—34no—
725C2×C4—34no—
726C2×C4—41no—
727C2×C4—44no—
728C2×C4—64no—
729C2×C4—62no—
730C2×C4—62no—
731C2×C4—62no—
732C2×C4—82no—
733C2×C4—81no—
734C2×C4—124no—
735C2×C4—244no—
736C2×C4—241no—
737C2×C4C2×D3×D411yescharacteristic
738C2×C4C2×D3×D411yescharacteristic
739C2×C4C2×D3×D411yescharacteristic
740C2×C4C2×D3×D411yescharacteristic
741C2×C4C2×D3×D411yescharacteristic
742C2×C4#100712yes—
743C2×C4D3×#4112yes—
744C2×C4C24×D311yescharacteristic
745C8—24no—
746C8—61no—
747C8—61no—
748C8—61no—
749C8—61no—
750C2×C3—22no—
751C2×C3—82no—
752C2×C3C2×#54811yescharacteristic
753C2×C3C2×#57711yescharacteristic
754C2×C3#358411yescharacteristic
755D3—82no—
756C22—21no—
757C22—21no—
758C22—42no—
759C22—42no—
760C22—42no—
761C22—84no—
762C22—122no—
763C22—122no—
764C22—122no—
765C22#563312yes—
766C22C22×D3×D411yescharacteristic
767C4—21no—
768C4—21no—
769C4—21no—
770C4—42no—
771C4—42no—
772C4—42no—
773C4—64no—
774C4—64no—
775C4—64no—
776C4—122no—
777C4—122no—
778C4#563312yes—
779C4#577512yes—
780C4C2×#100711yescharacteristic
781C4C2×D3×#4111yescharacteristic
782C3#6132711yescharacteristic, complemented, Sylow
783C2—22no—
784C2—82no—
785C2—242no—
786C2C2×#563311yescharacteristic
787C2C2×#577511yescharacteristic
788C2#8719911yescharacteristic
subgroupG/H
centerC22C22×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3077C2
socleC22×C3C23×D4
prime radical#85788C2
hypercenter#3077D3
hypocenterC3#61327
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #86258C2semidirect
3. C3×#3077C2semidirect
4. #83334C2semidirect
5. C2×C4×#214C2semidirect
6. #81203C2semidirect
7. #81151C2semidirect
8. #81091C2semidirect
9. #81090C2semidirect
10. #80995C2semidirect
11. #80994C2semidirect
12. #79244C2semidirect
13. #79202C2semidirect
14. #79067C2semidirect
15. #79044C2semidirect
16. #78945C2semidirect
17. #78920C2semidirect
25. #5722C22semidirect
26. #5721C22semidirect
27. #5685C22semidirect
56. #5093C22semidirect
57. #5093C22semidirect
58. #5088C22semidirect
59. #5088C22semidirect
60. #5068C22semidirect
61. #5068C22semidirect
71. #4891C22semidirect
72. #4889C22semidirect
73. #4877C22semidirect
74. #4873C22semidirect
75. #4870C22semidirect
76. #4854C22semidirect
77. #4853C22semidirect
78. #4852C22semidirect
79. #4849C22semidirect
80. #4848C22semidirect
81. #4845C22semidirect
82. #4831C22semidirect
83. #4831C22semidirect
84. #4830C22semidirect
85. #4830C22semidirect
105. #3077D3semidirect
338. C2×Dic6#41semidirect
782. C3#61327semidirect

Maximal subgroups

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

subgroupindex
#862582
#857882
C3×#30772
#833342
C2×C4×#2142
#812032
#811512
#810912
#810902
#809952
#809942
#792442
#792022
#790672
#790442
#789452
#789202
#613273