Finite Group Databasebeta

← #11675259

Subgroups — #11675259

Order 768.

1862 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3506C211yesmaximal, characteristic, complemented
2#86280C211yesmaximal, characteristic, complemented
3#83715C214yesmaximal, complemented
4#83714C214yesmaximal, complemented
5#83669C214yesmaximal, complemented
6#83581C214yesmaximal, complemented
7#83384C212yesmaximal, complemented
8#83380C212yesmaximal, complemented
9#83329C211yesmaximal, characteristic, complemented
10#83297C211yesmaximal, characteristic, complemented
11#83282C211yesmaximal, characteristic, complemented
12#82564C212yesmaximal, complemented
13#82560C212yesmaximal, complemented
14#82296C211yesmaximal, characteristic, complemented
15C2×#5014C211yesmaximal, characteristic, complemented
16#61332—31nomaximal, Sylow
17C3×#559C2214yescomplemented
18C3×#556C2212yescomplemented
19C3×#555—21no—
20C3×#553—22no—
21C3×#550C2212yescomplemented
22C3×#547—21no—
23C3×#538—22no—
24C3×#535C2212yes—
25C3×#533C2211yescharacteristic
26C3×#532C2211yescharacteristic
27C3×#525—22no—
28C3×#520C2212yes—
29C2×C3×C4×D4C2211yescharacteristic
30C2×#949C2212yes—
31C22×#213C2211yescharacteristic
32#5730—21no—
33#5727—21no—
34#5690—22no—
35#5634—22no—
36D3×C22⋊Q8—22no—
37#5579C2212yescomplemented
38#5579C2214yescomplemented
39Q8×D12C2212yescomplemented
40#5521C2212yes—
41#5519C2212yes—
42C2×C4×D12C2211yescharacteristic
43#5470C2211yescharacteristic
44#5233C2212yes—
45#5233C2212yes—
46#5232C2212yes—
47#5215C2212yes—
48C2×#832C2211yescharacteristic
49#5083C2212yescomplemented
50#5082C2212yescomplemented
51#5072C2214yes—
52#5072C2214yes—
53#5072C2212yescomplemented
54#5071C2214yescomplemented
55#5071C2212yescomplemented
56#5070C2214yescomplemented
57#5057C2214yes—
58#5057C2214yes—
59#5057C2214yescomplemented
60#5056C2214yescomplemented
61#5055C2212yescomplemented
62#5055C2212yescomplemented
63#5055C2214yescomplemented
64#5026C2214yescomplemented
65C4×#215C2214yescomplemented
66#5024C2214yescomplemented
67#5024C2214yescomplemented
68#5022C2214yescomplemented
69#5020C2214yescomplemented
70#5014C2214yes—
71#5014C2214yes—
72#5014C2214yescomplemented
73C4×#213C2214yescomplemented
74#5009C2214yescomplemented
75#5009C2214yescomplemented
76#5008C2212yescomplemented
77#5008C2214yescomplemented
78#5007C2212yescomplemented
79#4999C2212yes—
80#4997C2212yes—
81C2×#809C2211yescharacteristic
82#4964C2212yes—
83C2×#808C2211yescharacteristic
84#4924C2211yescharacteristic
85C2×#803C2211yescharacteristic
86#3506D311yescharacteristic, complemented
87#3501—31no—
88#3376—34no—
89#3373—34no—
90#3370—34no—
91#3366—34no—
92#3136—32no—
93#3135—31no—
94#3084—32no—
95#3077—31no—
96#3041—32no—
97#3036—31no—
98#2961—31no—
99#2946—32no—
100C2×#442—31no—
101C2×C3×#41—22no—
102C2×C3×#41C2312yes—
103C22×C3×D4C2311yescharacteristic
104C23×C3×C4—21no—
105C2×D3×Q8—22no—
106C22×D12C2311yescharacteristic
107C22×C4×D3—21no—
108C3×C4⋊Q8D411yescharacteristic
109C3×C4⋊Q8D411yescharacteristic
110C3×C4⋊Q8C2311yescharacteristic
111C3×#127C2314yes—
112C3×#127C2311yescharacteristic
113C3×#126—24no—
114C3×#125D412yes—
115C3×#124—24no—
116C3×#124C2312yes—
117C3×#124C2314yes—
118C3×#123—24no—
119C3×#123—24no—
120C3×C22⋊Q8—22no—
121C3×C22⋊Q8D412yes—
122C3×C22⋊Q8D412yes—
123C3×#121—21no—
124C3×#121—21no—
125C3×#121—22no—
126C3×#121—22no—
127C3×#121—22no—
128C3×#121—24no—
129C3×#120—24no—
130C3×C4×Q8C2314yes—
131C3×C4×Q8C2312yes—
132C3×C4×Q8C2312yes—
133C3×C4×D4—24no—
134C3×C4×D4—24no—
135C3×C4×D4—21no—
136C3×C4×D4—21no—
137C3×C4×D4—21no—
138C3×C4×D4—21no—
139C3×C4×D4C2312yes—
140C3×C4×D4C2314yes—
141C3×C4×D4C2312yes—
142C3×#117—22no—
143C3×#117—22no—
144C3×#117C2312yes—
145C2×C3×C4⋊C4—22no—
146C2×C3×C4⋊C4C2311yescharacteristic
147C2×C3×C22⋊C4—21no—
148C2×C3×C42C2311yescharacteristic
149#949—28no—
150#946—24no—
151#946—22no—
152C2×#215C2314yes—
153C2×#213—24no—
154C2×#213C2314yes—
155C2×#213C2314yes—
156C2×(C2×D3)⋊C4—21no—
157#926C2312yes—
158C2×C4⋊Dic3C2311yescharacteristic
159#924—21no—
160#924—21no—
161C2×#208C2312yes—
162C22×C3⋊C8C2311yescharacteristic
163C22×C3⋊C8C2311yescharacteristic
164#897—24no—
165#897—22no—
166#896—24no—
167#896—24no—
168#896—24no—
169#893—22no—
170#893—22no—
171D3×C4⋊C4—24no—
172D3×C4⋊C4—22no—
173#890—22no—
174#888—22no—
175D3×C22⋊C4—24no—
176#878—24no—
177C4×D12—21no—
178C4×D12—21no—
179C4×D12C2312yes—
180C4×D12C2312yes—
181C4×D12C2314yes—
182C4×D12C2314yes—
183#870C2312yes—
184#870C2314yes—
185#869C2311yescharacteristic
186#869C2311yescharacteristic
187#869C2314yes—
188C4×Dic6—21no—
189C4×Dic6—21no—
190#835C2314yes—
191#835C2312yes—
192#835C2312yes—
193#835C2312yes—
194#835C2312yes—
195#832C2314yes—
196#832C2314yes—
197#832C2314yes—
198#832C2314yes—
199#832C2312yes—
200#832C2312yes—
201#832C2312yes—
202#832C2312yes—
203#809C2314yes—
204#808C2314yes—
205#808C2314yes—
206#807C2314yes—
207C4⋊(C3⋊C8)C2312yes—
208C4⋊(C3⋊C8)C2312yes—
209C4⋊(C3⋊C8)C2314yes—
210C4⋊(C3⋊C8)C2314yes—
211#803C2312yes—
212#803C2312yes—
213#803C2314yes—
214C4×C3⋊C8C2314yes—
215C2×AGL(1,ℤ/8)—32no—
216C22×D8—31no—
217#559C2×D314yescomplemented
218#556C2×D312yescomplemented
219#555—21no—
220#554—34no—
221#554—32no—
222#554—61no—
223#554—62no—
224#553—22no—
225#550C2×D312yescomplemented
226D4×Q8—32no—
227D4×Q8—61no—
228#547—21no—
229#544—32no—
230#543—62no—
231#538—22no—
232#535C2×D312yes—
233#533—31no—
234#533C2×D311yescharacteristic
235#532C2×D311yescharacteristic
236#525—22no—
237C2×C22⋊Q8—62no—
238#520C2×D312yes—
239#518—32no—
240C2×C4×D4—31no—
241C2×C4×D4C2×D311yescharacteristic
242#491—32no—
243#490—32no—
244#490—34no—
245#489—32no—
246#489—32no—
247#489—34no—
248#488—34no—
249#486—34no—
250#479—34no—
251#478—34no—
252#478—34no—
253#476—32no—
254#476—34no—
255#475—34no—
256#474—32no—
257#463—34no—
258#463—34no—
259#463—34no—
260#461—32no—
261#459—32no—
262#459—34no—
263#459—34no—
264#446—34no—
265#446—34no—
266#442—34no—
267#442—34no—
268#442—34no—
269#440—34no—
270C4×SD16—34no—
271C4×D8—34no—
272#428—32no—
273C2×#106—31no—
274#424—32no—
275#423—31no—
276#418—32no—
277#417—32no—
278#416—32no—
279#416—32no—
280C2×#102—31no—
281C2×#102—31no—
282#405—32no—
283C2×#97—31no—
284C24×C3—21no—
285C23×D3—21no—
286C3×#41—24no—
287C3×#41—24no—
288C3×#41—84no—
289C2×C3×Q8C2×D412yes—
290C2×C3×Q8C2×D412yes—
291C2×C3×Q8C2412yes—
292C2×C3×D4—22no—
293C2×C3×D4—21no—
294C2×C3×D4—21no—
295C2×C3×D4—24no—
296C2×C3×D4—21no—
297C2×C3×D4—24no—
298C2×C3×D4—22no—
299C2×C3×D4—22no—
300C2×C3×D4C2412yes—
301C2×C3×D4C2412yes—
302C22×C3×C4—21no—
303C22×C3×C4—22no—
304C22×C3×C4—22no—
305C22×C3×C4—24no—
306C22×C3×C4—22no—
307C22×C3×C4—82no—
308C22×C3×C4C2×D411yescharacteristic
309C22×C3×C4C2×D411yescharacteristic
310C22×C3×C4C2411yescharacteristic
311C22×Dic3—21no—
312D3×Q8—84no—
313C2×D12—21no—
314C2×D12—22no—
315C2×D12#4114yescomplemented
316C2×D12C2412yes—
317C2×C4×D3—22no—
318C2×C4×D3—22no—
319C2×C4×D3—24no—
320C2×C4×D3—24no—
321C2×C4×D3—82no—
322C2×Dic6—21no—
323C2×Dic6—21no—
324C2×Dic6—24no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—24no—
327C3×C4⋊C4—21no—
328C3×C4⋊C4—21no—
329C3×C4⋊C4C2×D412yes—
330C3×C4⋊C4C2×D412yes—
331C3×C4⋊C4C2×D414yes—
332C3×C4⋊C4C2×D412yes—
333C3×C4⋊C4C2×D412yes—
334C3×C4⋊C4C2×D414yes—
335C3×C4⋊C4C2412yes—
336C3×C22⋊C4—22no—
337C3×C22⋊C4—22no—
338C3×C22⋊C4—24no—
339C3×C22⋊C4—24no—
340C3×C22⋊C4—22no—
341C3×C22⋊C4—24no—
342C3×C22⋊C4—22no—
343C3×C22⋊C4C2×D414yes—
344C3×C42—24no—
345C3×C42C2×D411yescharacteristic
346C3×C42C2×D411yescharacteristic
347C3×C42C2414yes—
348C3×C42C2411yescharacteristic
349C3×C42C2411yescharacteristic
350#217—22no—
351#215—28no—
352#213—28no—
353#213—28no—
354(C2×D3)⋊C4—22no—
355(C2×D3)⋊C4—22no—
356(C2×D3)⋊C4—24no—
357(C2×D3)⋊C4—24no—
358C4⋊Dic3—21no—
359C4⋊Dic3—21no—
360C4⋊Dic3—24no—
361C4⋊Dic3—21no—
362C4⋊Dic3C2412yes—
363C4⋊Dic3C2412yes—
364C4⋊Dic3C2412yes—
365Dic3⋊C4—22no—
366Dic3⋊C4—22no—
367Dic3⋊C4—24no—
368Dic3⋊C4—24no—
369C4×Dic3—22no—
370#208—24no—
371C2×C3⋊C8—22no—
372C2×C3⋊C8—22no—
373C2×C3⋊C8C2412yes—
374C2×C3⋊C8C2414yes—
375C2×C3⋊C8C2412yes—
376C2×#41—22no—
377C2×#41C22×D312yes—
378C22×Q8—62no—
379C22×D4—31no—
380C22×D4C22×D311yescharacteristic
381C23×C4—21no—
382C23×C4—61no—
383AGL(1,ℤ/8)—68no—
384C2×SD16—34no—
385C2×D8—34no—
386C2×D8—34no—
387C2×D8—64no—
388C2×M16—32no—
389C22×C8—31no—
390C22×C8—31no—
391C4⋊Q8—31no—
392C4⋊Q8—31no—
393C4⋊Q8—34no—
394C4⋊Q8—62no—
395C4⋊Q8#6711yescharacteristic
396C4⋊Q8#6711yescharacteristic
397C4⋊Q8C22×D311yescharacteristic
398#127C22×D311yescharacteristic
399#127C22×D314yes—
400#126—24no—
401#125—32no—
402#125—34no—
403#125—62no—
404#125#6712yes—
405#124—24no—
406#124C22×D312yes—
407#124C22×D314yes—
408#123—24no—
409#123—24no—
410C22⋊Q8—22no—
411C22⋊Q8—62no—
412C22⋊Q8—64no—
413C22⋊Q8—61no—
414C22⋊Q8—61no—
415C22⋊Q8—62no—
416C22⋊Q8—64no—
417C22⋊Q8—64no—
418C22⋊Q8—64no—
419C22⋊Q8—64no—
420C22⋊Q8—64no—
421C22⋊Q8#6712yes—
422C22⋊Q8#6712yes—
423#121—21no—
424#121—21no—
425#121—22no—
426#121—22no—
427#121—22no—
428#121—24no—
429#120—24no—
430C4×Q8—61no—
431C4×Q8—61no—
432C4×Q8C22×D314yes—
433C4×Q8C22×D312yes—
434C4×Q8C22×D312yes—
435C4×D4—24no—
436C4×D4—24no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4—21no—
440C4×D4—21no—
441C4×D4—32no—
442C4×D4—32no—
443C4×D4—34no—
444C4×D4—34no—
445C4×D4—62no—
446C4×D4—62no—
447C4×D4—61no—
448C4×D4—61no—
449C4×D4C22×D312yes—
450C4×D4C22×D312yes—
451C4×D4C22×D314yes—
452#117—22no—
453#117—22no—
454#117—32no—
455#117C22×D312yes—
456C2×C4⋊C4—22no—
457C2×C4⋊C4—31no—
458C2×C4⋊C4—64no—
459C2×C4⋊C4—62no—
460C2×C4⋊C4C22×D311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—61no—
463C2×C22⋊C4—64no—
464C2×C42C22×D311yescharacteristic
465#107—34no—
466#106—34no—
467#106—34no—
468C4⋊C8—32no—
469C4⋊C8—32no—
470C4⋊C8—34no—
471C4⋊C8—34no—
472#103—32no—
473#103—32no—
474#103—32no—
475#103—32no—
476#103—34no—
477#102—34no—
478#102—32no—
479#102—32no—
480#102—32no—
481#102—32no—
482#102—34no—
483#102—34no—
484#102—34no—
485#102—34no—
486#97—32no—
487#97—32no—
488#97—34no—
489C4×C8—34no—
490C23×C3—22no—
491C23×C3—22no—
492C23×C3—42no—
493C23×C3—81no—
494C23×C3—81no—
495C23×C3C22×D411yescharacteristic
496C22×D3—22no—
497C22×D3—24no—
498C22×D3—81no—
499C22×D3—81no—
500C3×Q8—22no—
501C3×Q8—22no—
502C3×Q8—42no—
503C3×Q8—42no—
504C3×D4—22no—
505C3×D4—22no—
506C3×D4—22no—
507C3×D4—22no—
508C3×D4—42no—
509C3×D4—44no—
510C3×D4—42no—
511C3×D4—84no—
512C3×D4—81no—
513C3×D4—84no—
514C2×C3×C4—22no—
515C2×C3×C4—22no—
516C2×C3×C4—41no—
517C2×C3×C4—41no—
518C2×C3×C4—44no—
519C2×C3×C4—44no—
520C2×C3×C4—82no—
521C2×C3×C4—84no—
522C2×C3×C4—81no—
523C2×C3×C4C22×D411yescharacteristic
524C2×C3×C4C22×D411yescharacteristic
525C2×C3×C4C22×D414yes—
526C2×C3×C4C22×D414yes—
527C2×C3×C4C22×D411yescharacteristic
528C2×C3×C4C22×D411yescharacteristic
529C2×C3×C4C22×D411yescharacteristic
530C2×C3×C4C2×#4112yes—
531C2×C3×C42−1+412yes—
532C2×C3×C4C2511yescharacteristic
533C2×Dic3—22no—
534C2×Dic3—22no—
535C2×Dic3—22no—
536C2×Dic3—81no—
537D12—24no—
538D12—22no—
539D12C2×#4114yes—
540C4×D3—44no—
541C4×D3—84no—
542C4×D3—82no—
543C4×D3—84no—
544Dic6—42no—
545Dic6—81no—
546Dic6—84no—
547C3⋊C8—22no—
548C3⋊C8—24no—
549C3⋊C8—22no—
550C24—21no—
551C24—61no—
552#41—24no—
553#41—24no—
554#41—84no—
555C2×Q8—61no—
556C2×Q8—61no—
557C2×Q8—64no—
558C2×Q8—244no—
559C2×Q8C2×#6712yes—
560C2×Q8C2×#6712yes—
561C2×Q8C23×D312yes—
562C2×D4—22no—
563C2×D4—22no—
564C2×D4—22no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—24no—
568C2×D4—21no—
569C2×D4—24no—
570C2×D4—34no—
571C2×D4—32no—
572C2×D4—62no—
573C2×D4—61no—
574C2×D4C23×D312yes—
575C2×D4C23×D312yes—
576C22×C4—21no—
577C22×C4—22no—
578C22×C4—22no—
579C22×C4—24no—
580C22×C4—22no—
581C22×C4—61no—
582C22×C4—62no—
583C22×C4—64no—
584C22×C4—64no—
585C22×C4—62no—
586C22×C4—82no—
587C22×C4—242no—
588C22×C4C2×#6711yescharacteristic
589C22×C4C2×#6711yescharacteristic
590C22×C4C23×D311yescharacteristic
591SD16—68no—
592D8—68no—
593D8—68no—
594M16—64no—
595C2×C8—32no—
596C2×C8—34no—
597C2×C8—32no—
598C2×C8—62no—
599C2×C8—62no—
600C4⋊C4—21no—
601C4⋊C4—24no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—32no—
605C4⋊C4—32no—
606C4⋊C4—32no—
607C4⋊C4—61no—
608C4⋊C4—62no—
609C4⋊C4—61no—
610C4⋊C4—64no—
611C4⋊C4—64no—
612C4⋊C4—64no—
613C4⋊C4—62no—
614C4⋊C4—61no—
615C4⋊C4C2×#6712yes—
616C4⋊C4C2×#6714yes—
617C4⋊C4C2×#6712yes—
618C4⋊C4C2×#6712yes—
619C4⋊C4C2×#6712yes—
620C4⋊C4C2×#6714yes—
621C4⋊C4C23×D312yes—
622C22⋊C4—22no—
623C22⋊C4—22no—
624C22⋊C4—24no—
625C22⋊C4—24no—
626C22⋊C4—22no—
627C22⋊C4—24no—
628C22⋊C4—22no—
629C22⋊C4—62no—
630C22⋊C4—64no—
631C22⋊C4—64no—
632C22⋊C4—62no—
633C22⋊C4—62no—
634C22⋊C4C2×#6714yes—
635C42—24no—
636C42—62no—
637C42C2×#6711yescharacteristic
638C42C2×#6711yescharacteristic
639C42C23×D314yes—
640C42C23×D311yescharacteristic
641C42C23×D311yescharacteristic
642C22×C3—21no—
643C22×C3—21no—
644C22×C3—42no—
645C22×C3—42no—
646C22×C3—42no—
647C22×C3—42no—
648C22×C3—42no—
649C22×C3—42no—
650C22×C3—84no—
651C22×C3#54812yes—
652C22×C3C23×D411yescharacteristic
653C2×D3—24no—
654C2×D3—42no—
655C2×D3—42no—
656C2×D3—84no—
657C3×C4—21no—
658C3×C4—24no—
659C3×C4—21no—
660C3×C4—21no—
661C3×C4—24no—
662C3×C4—21no—
663C3×C4—42no—
664C3×C4—42no—
665C3×C4#54812yes—
666C3×C4C22×#4111yescharacteristic
667C3×C4C2×2−1+411yescharacteristic
668Dic3—42no—
669Dic3—42no—
670Dic3—42no—
671C23—22no—
672C23—22no—
673C23—42no—
674C23—62no—
675C23—64no—
676C23—81no—
677C23—81no—
678C23—241no—
679C23—241no—
680C23C22×#6711yescharacteristic
681Q8—22no—
682Q8—22no—
683Q8—42no—
684Q8—42no—
685Q8—122no—
686Q8—244no—
687Q8—241no—
688D4—22no—
689D4—22no—
690D4—22no—
691D4—22no—
692D4—34no—
693D4—42no—
694D4—44no—
695D4—42no—
696D4—62no—
697D4—64no—
698D4—84no—
699D4—81no—
700D4—84no—
701C2×C4—22no—
702C2×C4—22no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—62no—
708C2×C4—62no—
709C2×C4—62no—
710C2×C4—82no—
711C2×C4—84no—
712C2×C4—81no—
713C2×C4—124no—
714C2×C4—242no—
715C2×C4—244no—
716C2×C4—244no—
717C2×C4—241no—
718C2×C4D3×#4112yes—
719C2×C4#101012yes—
720C2×C4C22×#6714yes—
721C2×C4C22×#6711yescharacteristic
722C2×C4C22×#6711yescharacteristic
723C2×C4C22×#6711yescharacteristic
724C2×C4C22×#6711yescharacteristic
725C2×C4C22×#6714yes—
726C2×C4C22×#6711yescharacteristic
727C2×C4C24×D311yescharacteristic
728C8—62no—
729C8—64no—
730C8—62no—
731C2×C3—22no—
732C2×C3—82no—
733C2×C3—82no—
734C2×C3C2×#54811yescharacteristic
735C2×C3#358511yescharacteristic
736C2×C3#358511yescharacteristic
737D3—44no—
738C22—21no—
739C22—21no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—64no—
747C22—84no—
748C22—122no—
749C22—122no—
750C22—244no—
751C22#583112yes—
752C22C23×#6711yescharacteristic
753C4—21no—
754C4—21no—
755C4—24no—
756C4—21no—
757C4—21no—
758C4—24no—
759C4—42no—
760C4—42no—
761C4—122no—
762C4—122no—
763C4—122no—
764C4#583112yes—
765C4C2×D3×#4111yescharacteristic
766C4C2×#101011yescharacteristic
767C3#6133211yescharacteristic, complemented, Sylow
768C2—22no—
769C2—82no—
770C2—82no—
771C2—124no—
772C2C2×#583111yescharacteristic
773C2#8727711yescharacteristic
774C2#8729811yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×#3506C2
socleC22×C3C23×D4
hypercenter#3506D3
hypocenterC3#61332
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ #533 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. C3×#3506C2semidirect
2. #86280C2semidirect
3. #83715C2semidirect
4. #83714C2semidirect
5. #83669C2semidirect
6. #83581C2semidirect
7. #83384C2semidirect
8. #83380C2semidirect
9. #83329C2semidirect
10. #83297C2semidirect
11. #83282C2semidirect
12. #82564C2semidirect
13. #82560C2semidirect
14. #82296C2semidirect
15. C2×#5014C2semidirect
17. C3×#559C22semidirect
18. C3×#556C22semidirect
21. C3×#550C22semidirect
37. #5579C22semidirect
38. #5579C22semidirect
39. Q8×D12C22semidirect
49. #5083C22semidirect
50. #5082C22semidirect
53. #5072C22semidirect
54. #5071C22semidirect
55. #5071C22semidirect
56. #5070C22semidirect
59. #5057C22semidirect
60. #5056C22semidirect
61. #5055C22semidirect
62. #5055C22semidirect
63. #5055C22semidirect
64. #5026C22semidirect
65. C4×#215C22semidirect
66. #5024C22semidirect
67. #5024C22semidirect
68. #5022C22semidirect
69. #5020C22semidirect
72. #5014C22semidirect
73. C4×#213C22semidirect
74. #5009C22semidirect
75. #5009C22semidirect
76. #5008C22semidirect
77. #5008C22semidirect
78. #5007C22semidirect
86. #3506D3semidirect
217. #559C2×D3semidirect
218. #556C2×D3semidirect
225. #550C2×D3semidirect
315. C2×D12#41semidirect
767. C3#61332semidirect

Maximal subgroups

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

subgroupindex
C3×#35062
#862802
#837152
#837142
#836692
#835812
#833842
#833802
#833292
#832972
#832822
#825642
#825602
#822962
C2×#50142
#613323