Finite Group Databasebeta

← #11702050

Subgroups — #11702050

Order 768.

7226 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×#41C211yesmaximal, characteristic, complemented
2#87268C212yesmaximal, complemented
3#85838C218yesmaximal, complemented
4#85837C218yesmaximal, complemented
5#85836C218yesmaximal, complemented
6#85823C218yesmaximal, complemented
7#85811C214yesmaximal, complemented
8#85777C214yesmaximal, complemented
9#85776C218yesmaximal, complemented
10#85738C214yesmaximal, complemented
11#85735C211yesmaximal, characteristic, complemented
12#85725C211yesmaximal, characteristic, complemented
13#85680C214yesmaximal, complemented
14C2×C4×#235C212yesmaximal, complemented
15#62686—31nomaximal, Sylow
16C22×C3×#41C2211yescharacteristic
17C22×#235C2212yes—
18C3×C4×#41C2218yescomplemented
19C3×C4×#41C2214yescomplemented
20C3×C4×#41C2214yescomplemented
21C2×C3×C4×Q8C2212yescomplemented
22C2×C3×C4×D4C2214yes—
23C2×C3×C4×D4C2212yescomplemented
24C2×C3×#117C2211yescharacteristic
25C2×C3×#117C2212yescomplemented
26C22×C3×C42C2211yescharacteristic
27C22×C3×C42C2212yescomplemented
28#5833C2218yes—
29#5832C2218yes—
30#5830C2214yescomplemented
31#5828C2218yescomplemented
32#5825C2214yescomplemented
33#5816C2214yescomplemented
34#5805C2214yescomplemented
35#5804C2218yes—
36#5791C22116yescomplemented
37#5791C2218yescomplemented
38C2×C4×#67C2218yes—
39C2×#926C2212yes—
40#5583C22116yescomplemented
41#5582C22116yescomplemented
42#5580C22116yescomplemented
43#5578C22116yescomplemented
44#5564C22132yescomplemented
45#5562C22116yescomplemented
46#5561C22116yescomplemented
47#5560C22132yescomplemented
48#5557C22116yescomplemented
49#5548C22116yescomplemented
50#5547C22132yescomplemented
51#5538C22132yescomplemented
52#5535C2218yescomplemented
53#5534C22116yescomplemented
54#5528C22132yescomplemented
55#5526C2214yescomplemented
56#5525C2214yescomplemented
57#5524C2218yescomplemented
58#5519C2218yescomplemented
59#5518C2218yescomplemented
60#5517C2218yescomplemented
61#5515C22116yescomplemented
62#5510C2214yes—
63#5500C2214yescomplemented
64#5494C22116yescomplemented
65#5493C2214yes—
66#5483C2214yes—
67#5479C22116yescomplemented
68#5479C22116yescomplemented
69#5479C22116yescomplemented
70#5477C2214yes—
71#5477C2218yescomplemented
72C4×#235C2218yescomplemented
73C4×#235C2218yescomplemented
74C4×#235C2214yescomplemented
75C4×#235C22116yescomplemented
76C4×#235C2214yescomplemented
77C4×#235C2214yescomplemented
78C4×#235C2214yescomplemented
79C2×C4×D12C2214yescomplemented
80C2×#872C2214yescomplemented
81C2×C42×D3C2214yescomplemented
82#5470C2218yescomplemented
83#5470C2214yescomplemented
84C2×C4×Dic6C2214yescomplemented
85#3461—38no—
86#3461—34no—
87#3460—38no—
88#3460—34no—
89#3459—38no—
90#3458—31no—
91#3455—38no—
92#3455—34no—
93#3449—32no—
94#3449—31no—
95#3444—34no—
96#3444—38no—
97C2×C4×#41—32no—
98C2×C4×#41D311yescharacteristic, complemented
99C2×C3×#41—28no—
100C2×C3×#41C2314yes—
101C2×C3×#41C2314yes—
102C22×C3×Q8C2311yescharacteristic
103C22×C3×D4C2312yes—
104C22×C3×D4C2311yescharacteristic
105C23×C3×C4C2312yes—
106C23×C3×C4C2312yes—
107C23×C3×C4C2314yes—
108C23×C3×C4C2311yescharacteristic
109C22×#67C2314yes—
110C2×#235—216no—
111C2×#235C2314yes—
112C2×#235C2314yes—
113C2×#235C2314yes—
114C2×#235C2314yes—
115C2×#235C23116yes—
116C22×D12C2312yes—
117C22×C4×D3C2314yes—
118C22×C4×D3C2318yes—
119C22×Dic6C2312yes—
120C3×C4×Q8C2318yes—
121C3×C4×Q8C2318yes—
122C3×C4×D4C23116yes—
123C3×C4×D4C2318yes—
124C3×C4×D4C23116yes—
125C3×C4×D4C2318yes—
126C3×#117C2314yes—
127C3×#117C2318yes—
128C3×#117C2314yes—
129C3×#117C2318yes—
130C2×C3×C4⋊C4C2312yes—
131C2×C3×C4⋊C4C2314yes—
132C2×C3×C22⋊C4C2312yes—
133C2×C3×C22⋊C4C2314yes—
134C2×C3×C42C2314yes—
135C2×C3×C42C2312yes—
136C2×C3×C42C2318yes—
137C2×C3×C42C2312yes—
138C2×C3×C42C2312yes—
139C2×C3×C42C2311yescharacteristic
140C2×C3×C42C2311yescharacteristic
141C2×C3×C42C2312yes—
142C2×C3×C42C2314yes—
143C2×C3×C42C2314yes—
144C2×C3×C42C2314yes—
145#953C23116yes—
146C2×#217C2314yes—
147#947C2318yes—
148#946C23116yes—
149#944C2318yes—
150#940C2318yes—
151#939C23132yes—
152#938C23116yes—
153#937C23116yes—
154#936C2318yes—
155#935C23116yes—
156#930C23116yes—
157#930C23116yes—
158#930C23116yes—
159#929C23116yes—
160#929C23132yes—
161C4×#67C23116yes—
162C4×#67C23116yes—
163C4×#67C23116yes—
164C4×#67C23116yes—
165C4×#67C23132yes—
166C4×#67C23132yes—
167C2×(C2×D3)⋊C4C2318yes—
168#926C2314yes—
169#926C23116yes—
170#926C2314yes—
171#926C2314yes—
172#926C2314yes—
173C2×C4⋊Dic3C2314yes—
174#924C23116yes—
175#924C23116yes—
176#924C23116yes—
177C2×Dic3⋊C4C2318yes—
178C2×C4×Dic3C2318yes—
179C2×C4×Dic3C2314yes—
180#898C23132yes—
181#897C23116yes—
182#896C23132yes—
183#895C23116yes—
184#894C23132yes—
185#890C23116yes—
186#889C23132yes—
187#888C23116yes—
188#886C23116yes—
189#885C23132yes—
190#884C23132yes—
191#883C23132yes—
192#882C23116yes—
193#879C23132yes—
194#878C23132yes—
195#876C23132yes—
196#875C2318yes—
197#875C23116yes—
198#874C2314yes—
199C4×D12C2318yes—
200C4×D12C2318yes—
201C4×D12C2318yes—
202C4×D12C2318yes—
203C4×D12C23116yes—
204C4×D12C23116yes—
205#872C2318yes—
206#872C2318yes—
207#872C23116yes—
208#872C23132yes—
209C42×D3C2318yes—
210C42×D3C2318yes—
211C42×D3C23116yes—
212#870C2318yes—
213#870C23116yes—
214#869C2314yes—
215#869C2318yes—
216C4×Dic6C2318yes—
217C4×Dic6C2318yes—
218C4×Dic6C2318yes—
219C4×Dic6C2318yes—
220C4×Dic6C23116yes—
221C4×Dic6C23116yes—
222C22×#41—32no—
223C22×#41C2×D311yescharacteristic
224#544—38no—
225#544—34no—
226#543—34no—
227#542—316no—
228#542—316no—
229#542—316no—
230#541—316no—
231#541—38no—
232#540—316no—
233#540—38no—
234#539—332no—
235#539—316no—
236#538—332no—
237#538—316no—
238#537—38no—
239#537—34no—
240#536—34no—
241#536—34no—
242#536—34no—
243#535—34no—
244#535—34no—
245#535—34no—
246#534—38no—
247#534—34no—
248#533—316no—
249#533—38no—
250#533—34no—
251#533—38no—
252#532—38no—
253#532—316no—
254#532—34no—
255#532—38no—
256#529—316no—
257#529—332no—
258#529—316no—
259#529—332no—
260#529—316no—
261#529—316no—
262#529—316no—
263#525—38no—
264#525—38no—
265#525—316no—
266#525—332no—
267#525—38no—
268C4×#41—34no—
269C4×#41—34no—
270C4×#41—34no—
271C4×#41—34no—
272C4×#41—38no—
273C4×#41—38no—
274C4×#41—316no—
275C4×#41C2×D314yescomplemented
276C4×#41C2×D314yescomplemented
277C4×#41C2×D318yescomplemented
278C2×C4×Q8—34no—
279C2×C4×Q8C2×D312yescomplemented
280C2×C4×D4—38no—
281C2×C4×D4—34no—
282C2×C4×D4C2×D314yes—
283C2×C4×D4C2×D312yescomplemented
284C2×#117—32no—
285C2×#117—34no—
286C2×#117C2×D311yescharacteristic
287C2×#117C2×D312yescomplemented
288C22×C42—34no—
289C22×C42C2×D311yescharacteristic
290C22×C42C2×D312yescomplemented
291C24×C3C2412yes—
292C24×C3C2411yescharacteristic
293C23×D3C2414yes—
294C3×#41—216no—
295C3×#41—216no—
296C2×C3×Q8—24no—
297C2×C3×Q8C2414yes—
298C2×C3×D4—28no—
299C2×C3×D4—24no—
300C2×C3×D4C2418yes—
301C2×C3×D4C2414yes—
302C22×C3×C4—28no—
303C22×C3×C4—44no—
304C22×C3×C4—48no—
305C22×C3×C4#4118yescomplemented
306C22×C3×C4C2414yes—
307C22×C3×C4C2414yes—
308C22×C3×C4C2418yes—
309C22×C3×C4C2412yes—
310C22×C3×C4C2414yes—
311C22×C3×C4C2412yes—
312C22×C3×C4C2414yes—
313C22×C3×C4C2414yes—
314C22×C3×C4C2418yes—
315C22×C3×C4C2412yes—
316C22×C3×C4C2412yes—
317C22×C3×C4C2412yes—
318C22×C3×C4C2411yescharacteristic
319C22×C3×C4C2411yescharacteristic
320C2×#67—216no—
321C2×#67C2418yes—
322C2×#67C2418yes—
323C2×#67C24132yes—
324C22×Dic3C2414yes—
325C22×Dic3C2418yes—
326#235—216no—
327#235—216no—
328#235—216no—
329#235—216no—
330#235—432no—
331C2×D12—28no—
332C2×D12C2414yes—
333C2×D12C2414yes—
334C2×D12C24116yes—
335C2×C4×D3—216no—
336C2×C4×D3—416no—
337C2×C4×D3C2418yes—
338C2×C4×D3C24116yes—
339C2×C4×D3C2418yes—
340C2×C4×D3C24116yes—
341C2×Dic6—28no—
342C2×Dic6C2414yes—
343C2×Dic6C2414yes—
344C2×Dic6C24116yes—
345C3×C4⋊C4C2418yes—
346C3×C4⋊C4C24116yes—
347C3×C22⋊C4C2418yes—
348C3×C22⋊C4C24116yes—
349C3×C42C2412yes—
350C3×C42C2412yes—
351C3×C42C2414yes—
352C3×C42C2414yes—
353C3×C42C2414yes—
354C3×C42C2418yes—
355C3×C42C2414yes—
356C3×C42C2418yes—
357C3×C42C2412yes—
358C3×C42C2411yescharacteristic
359C3×C42C2411yescharacteristic
360#217C2418yes—
361#217C24132yes—
362#217C2418yes—
363(C2×D3)⋊C4C24116yes—
364(C2×D3)⋊C4C24116yes—
365(C2×D3)⋊C4C24132yes—
366(C2×D3)⋊C4C24132yes—
367C4⋊Dic3C2418yes—
368C4⋊Dic3C2418yes—
369C4⋊Dic3C24116yes—
370C4⋊Dic3C24116yes—
371Dic3⋊C4C24116yes—
372Dic3⋊C4C24116yes—
373Dic3⋊C4C24132yes—
374Dic3⋊C4C24132yes—
375C4×Dic3C2418yes—
376C4×Dic3C24116yes—
377C4×Dic3C24116yes—
378C4×Dic3C2418yes—
379C2×#41—28no—
380C2×#41—34no—
381C2×#41—34no—
382C2×#41—34no—
383C2×#41—34no—
384C2×#41—316no—
385C2×#41—616no—
386C2×#41C22×D314yes—
387C2×#41C22×D314yes—
388C22×Q8—32no—
389C22×Q8C22×D311yescharacteristic
390C22×D4—34no—
391C22×D4—32no—
392C22×D4C22×D312yes—
393C22×D4C22×D311yescharacteristic
394C23×C4—34no—
395C23×C4—38no—
396C23×C4C22×D312yes—
397C23×C4C22×D312yes—
398C23×C4C22×D314yes—
399C23×C4C22×D311yescharacteristic
400C4⋊Q8—38no—
401C4⋊Q8—316no—
402C4⋊Q8—34no—
403C4⋊Q8—38no—
404#127—38no—
405#127—34no—
406#126—332no—
407#126—332no—
408#126—332no—
409#125—332no—
410#125—316no—
411#125—316no—
412#125—38no—
413#124—38no—
414#124—38no—
415#124—332no—
416#124—38no—
417#124—316no—
418#123—316no—
419#123—316no—
420#123—332no—
421#123—332no—
422#123—316no—
423#123—332no—
424C22⋊Q8—316no—
425C22⋊Q8—316no—
426C22⋊Q8—316no—
427C22⋊Q8—316no—
428C22⋊Q8—316no—
429C22⋊Q8—332no—
430C22⋊Q8—332no—
431#121—332no—
432#121—316no—
433#121—316no—
434#121—316no—
435#121—316no—
436#121—316no—
437#121—332no—
438#120—316no—
439#120—316no—
440#120—316no—
441C4×Q8—38no—
442C4×Q8—38no—
443C4×Q8—38no—
444C4×Q8—38no—
445C4×Q8—316no—
446C4×Q8—316no—
447C4×Q8C22×D318yes—
448C4×Q8C22×D318yes—
449C4×D4—316no—
450C4×D4—316no—
451C4×D4—316no—
452C4×D4—316no—
453C4×D4—332no—
454C4×D4—332no—
455C4×D4—38no—
456C4×D4—38no—
457C4×D4—38no—
458C4×D4—38no—
459C4×D4—316no—
460C4×D4—316no—
461C4×D4C22×D3116yes—
462C4×D4C22×D3116yes—
463C4×D4C22×D318yes—
464C4×D4C22×D318yes—
465#117—34no—
466#117—34no—
467#117—34no—
468#117—34no—
469#117—316no—
470#117—38no—
471#117—38no—
472#117—316no—
473#117—332no—
474#117C22×D314yes—
475#117C22×D314yes—
476#117C22×D318yes—
477#117C22×D318yes—
478C2×C4⋊C4—34no—
479C2×C4⋊C4—38no—
480C2×C4⋊C4C22×D312yes—
481C2×C4⋊C4C22×D314yes—
482C2×C22⋊C4—34no—
483C2×C22⋊C4—38no—
484C2×C22⋊C4C22×D312yes—
485C2×C22⋊C4C22×D314yes—
486C2×C42—34no—
487C2×C42—38no—
488C2×C42—38no—
489C2×C42—316no—
490C2×C42—38no—
491C2×C42C22×D312yes—
492C2×C42C22×D312yes—
493C2×C42C22×D311yescharacteristic
494C2×C42C22×D314yes—
495C2×C42C22×D314yes—
496C2×C42C22×D312yes—
497C2×C42C22×D314yes—
498C2×C42C22×D318yes—
499C2×C42C22×D314yes—
500C2×C42C22×D311yescharacteristic
501C2×C42C22×D312yes—
502C23×C3—24no—
503C23×C3—42no—
504C23×C3—44no—
505C23×C3C2×#4114yes—
506C23×C3C2514yes—
507C23×C3C2511yescharacteristic
508C23×C3C2512yes—
509C22×D3—28no—
510C22×D3—48no—
511C22×D3C2518yes—
512C3×Q8—28no—
513C3×D4—216no—
514C3×D4—28no—
515C2×C3×C4—24no—
516C2×C3×C4—28no—
517C2×C3×C4—28no—
518C2×C3×C4—28no—
519C2×C3×C4—216no—
520C2×C3×C4—24no—
521C2×C3×C4—44no—
522C2×C3×C4—48no—
523C2×C3×C4—42no—
524C2×C3×C4—44no—
525C2×C3×C4C2×#4118yes—
526C2×C3×C4C2×#4118yes—
527C2×C3×C4C2×#4114yes—
528C2×C3×C4C2×#4114yes—
529C2×C3×C4C2514yes—
530C2×C3×C4C2512yes—
531C2×C3×C4C2514yes—
532C2×C3×C4C2518yes—
533C2×C3×C4C2511yescharacteristic
534C2×C3×C4C2512yes—
535C2×C3×C4C2511yescharacteristic
536C2×C3×C4C2512yes—
537#67—216no—
538#67—216no—
539#67—432no—
540C2×Dic3—28no—
541C2×Dic3—48no—
542C2×Dic3C2518yes—
543C2×Dic3C25116yes—
544D12—28no—
545D12—28no—
546D12—416no—
547C4×D3—216no—
548C4×D3—216no—
549C4×D3—232no—
550C4×D3—416no—
551Dic6—28no—
552Dic6—28no—
553Dic6—416no—
554C24—34no—
555C24C23×D312yes—
556C24C23×D311yescharacteristic
557#41—216no—
558#41—216no—
559#41—616no—
560#41—616no—
561#41—616no—
562#41—616no—
563#41—1232no—
564C2×Q8—24no—
565C2×Q8—34no—
566C2×Q8—34no—
567C2×Q8—316no—
568C2×Q8—68no—
569C2×Q8C23×D314yes—
570C2×D4—28no—
571C2×D4—24no—
572C2×D4—38no—
573C2×D4—38no—
574C2×D4—332no—
575C2×D4—34no—
576C2×D4—34no—
577C2×D4—316no—
578C2×D4—616no—
579C2×D4—68no—
580C2×D4C23×D318yes—
581C2×D4C23×D314yes—
582C22×C4—28no—
583C22×C4—34no—
584C22×C4—38no—
585C22×C4—38no—
586C22×C4—316no—
587C22×C4—38no—
588C22×C4—316no—
589C22×C4—44no—
590C22×C4—48no—
591C22×C4—616no—
592C22×C4—1216no—
593C22×C4#23518yescomplemented
594C22×C4C23×D314yes—
595C22×C4C23×D312yes—
596C22×C4C23×D312yes—
597C22×C4C23×D318yes—
598C22×C4C23×D314yes—
599C22×C4C23×D314yes—
600C22×C4C23×D314yes—
601C22×C4C23×D312yes—
602C22×C4C23×D314yes—
603C22×C4C23×D318yes—
604C22×C4C23×D312yes—
605C22×C4C23×D311yescharacteristic
606C22×C4C23×D312yes—
607C22×C4C23×D311yescharacteristic
608C4⋊C4—38no—
609C4⋊C4—38no—
610C4⋊C4—316no—
611C4⋊C4—316no—
612C4⋊C4—332no—
613C4⋊C4—332no—
614C4⋊C4—316no—
615C4⋊C4—316no—
616C4⋊C4C23×D318yes—
617C4⋊C4C23×D3116yes—
618C22⋊C4—38no—
619C22⋊C4—38no—
620C22⋊C4—332no—
621C22⋊C4—316no—
622C22⋊C4—316no—
623C22⋊C4—332no—
624C22⋊C4—332no—
625C22⋊C4C23×D318yes—
626C22⋊C4C23×D3116yes—
627C42—38no—
628C42—316no—
629C42—38no—
630C42—316no—
631C42C23×D312yes—
632C42C23×D314yes—
633C42C23×D311yescharacteristic
634C42C23×D312yes—
635C42C23×D314yes—
636C42C23×D318yes—
637C42C23×D312yes—
638C42C23×D314yes—
639C42C23×D314yes—
640C42C23×D318yes—
641C42C23×D311yescharacteristic
642C22×C3—24no—
643C22×C3—22no—
644C22×C3—24no—
645C22×C3—28no—
646C22×C3—44no—
647C22×C3—48no—
648C22×C3C22×#4114yes—
649C22×C3C22×#4112yes—
650C22×C3C2611yescharacteristic
651C2×D3—28no—
652C2×D3—216no—
653C2×D3—416no—
654C3×C4—24no—
655C3×C4—28no—
656C3×C4—24no—
657C3×C4—22no—
658C3×C4C22×#4112yes—
659C3×C4C22×#4114yes—
660C3×C4C22×#4112yes—
661C3×C4#58514yes—
662Dic3—28no—
663Dic3—216no—
664C23—24no—
665C23—38no—
666C23—42no—
667C23—44no—
668C23—68no—
669C23—128no—
670C23C2×#23514yes—
671C23C24×D314yes—
672C23C24×D311yescharacteristic
673C23C24×D312yes—
674Q8—28no—
675Q8—68no—
676Q8—68no—
677Q8—1216no—
678D4—216no—
679D4—28no—
680D4—616no—
681D4—616no—
682D4—68no—
683D4—68no—
684D4—1216no—
685D4—1232no—
686C2×C4—24no—
687C2×C4—28no—
688C2×C4—28no—
689C2×C4—24no—
690C2×C4—28no—
691C2×C4—216no—
692C2×C4—38no—
693C2×C4—316no—
694C2×C4—44no—
695C2×C4—48no—
696C2×C4—42no—
697C2×C4—44no—
698C2×C4—68no—
699C2×C4—616no—
700C2×C4—616no—
701C2×C4—632no—
702C2×C4—1216no—
703C2×C4—128no—
704C2×C4C2×#23514yes—
705C2×C4C2×#23518yes—
706C2×C4C2×#23514yes—
707C2×C4C2×#23518yes—
708C2×C4C24×D314yes—
709C2×C4C24×D312yes—
710C2×C4C24×D314yes—
711C2×C4C24×D318yes—
712C2×C4C24×D311yescharacteristic
713C2×C4C24×D312yes—
714C2×C4C24×D311yescharacteristic
715C2×C4C24×D312yes—
716C2×C3—24no—
717C2×C3—22no—
718C2×C3—44no—
719C2×C3C23×#4111yescharacteristic
720C2×C3C2×#58512yes—
721D3—48no—
722C22—22no—
723C22—24no—
724C22—24no—
725C22—28no—
726C22—44no—
727C22—48no—
728C22—68no—
729C22—616no—
730C22—1216no—
731C22C22×#23512yes—
732C22C22×#23514yes—
733C22C25×D311yescharacteristic
734C4—24no—
735C4—22no—
736C4—24no—
737C4—28no—
738C4—68no—
739C4—616no—
740C4C22×#23512yes—
741C4C22×#23512yes—
742C4C22×#23514yes—
743C4#596414yes—
744C3#6268611yescharacteristic, complemented, Sylow
745C2—22no—
746C2—24no—
747C2—44no—
748C2—128no—
749C2C23×#23511yescharacteristic
750C2C2×#596412yes—
subgroupG/H
centerC42C23×D3
commutator, socle, cosocleC22×C3C26
FrattiniC22C25×D3
FittingC2×C3×C4×#41C2
hypercenterC2×C4×#41D3
hypocenterC3#62686
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×#41C2semidirect
2. #87268C2semidirect
3. #85838C2semidirect
4. #85837C2semidirect
5. #85836C2semidirect
6. #85823C2semidirect
7. #85811C2semidirect
8. #85777C2semidirect
9. #85776C2semidirect
10. #85738C2semidirect
11. #85735C2semidirect
12. #85725C2semidirect
13. #85680C2semidirect
14. C2×C4×#235C2semidirect
18. C3×C4×#41C22semidirect
19. C3×C4×#41C22semidirect
20. C3×C4×#41C22semidirect
21. C2×C3×C4×Q8C22semidirect
23. C2×C3×C4×D4C22semidirect
25. C2×C3×#117C22semidirect
27. C22×C3×C42C22semidirect
30. #5830C22semidirect
31. #5828C22semidirect
32. #5825C22semidirect
33. #5816C22semidirect
34. #5805C22semidirect
36. #5791C22semidirect
37. #5791C22semidirect
40. #5583C22semidirect
41. #5582C22semidirect
42. #5580C22semidirect
43. #5578C22semidirect
44. #5564C22semidirect
45. #5562C22semidirect
46. #5561C22semidirect
47. #5560C22semidirect
48. #5557C22semidirect
49. #5548C22semidirect
50. #5547C22semidirect
51. #5538C22semidirect
52. #5535C22semidirect
53. #5534C22semidirect
54. #5528C22semidirect
55. #5526C22semidirect
56. #5525C22semidirect
57. #5524C22semidirect
58. #5519C22semidirect
59. #5518C22semidirect
60. #5517C22semidirect
61. #5515C22semidirect
63. #5500C22semidirect
64. #5494C22semidirect
67. #5479C22semidirect
68. #5479C22semidirect
69. #5479C22semidirect
71. #5477C22semidirect
72. C4×#235C22semidirect
73. C4×#235C22semidirect
74. C4×#235C22semidirect
75. C4×#235C22semidirect
76. C4×#235C22semidirect
77. C4×#235C22semidirect
78. C4×#235C22semidirect
79. C2×C4×D12C22semidirect
80. C2×#872C22semidirect
81. C2×C42×D3C22semidirect
82. #5470C22semidirect
83. #5470C22semidirect
84. C2×C4×Dic6C22semidirect
98. C2×C4×#41D3semidirect
275. C4×#41C2×D3semidirect
276. C4×#41C2×D3semidirect
277. C4×#41C2×D3semidirect
279. C2×C4×Q8C2×D3semidirect
283. C2×C4×D4C2×D3semidirect
287. C2×#117C2×D3semidirect
290. C22×C42C2×D3semidirect
305. C22×C3×C4#41semidirect
593. C22×C4#235semidirect
744. C3#62686semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×#412
#872682
#858382
#858372
#858362
#858232
#858112
#857772
#857762
#857382
#857352
#857252
#856802
C2×C4×#2352
#626863