Finite Group Databasebeta

← #11660662

Subgroups — #11660662

Order 768.

1762 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86257C211yesmaximal, characteristic
2C3×#2987C211yesmaximal, characteristic, complemented
3#83333C211yesmaximal, characteristic, complemented
4#79945C214yesmaximal, complemented
5#79944C214yesmaximal, complemented
6#79941C214yesmaximal, complemented
7#79940C214yesmaximal, complemented
8#79376C214yesmaximal, complemented
9#79375C214yesmaximal, complemented
10#79337C211yesmaximal, characteristic, complemented
11#79337C211yesmaximal, characteristic, complemented
12#79331C211yesmaximal, characteristic, complemented
13D3×#432C211yesmaximal, characteristic, complemented
14#60293—31nomaximal, Sylow
15C3×#533C2211yescharacteristic
16#5728C411yescharacteristic
17#5728C411yescharacteristic
18#5725C411yescharacteristic
19#5725C411yescharacteristic
20#5691C412yes—
21#5691C412yes—
22#5627C412yes—
23#5627C412yes—
24#5624C412yes—
25#5624C412yes—
26#5580C2212yes—
27#5580C2212yes—
28C4×#239C2212yes—
29C4×#239C2212yes—
30#5524C2212yes—
31#5522C2212yes—
32#5477C2211yescharacteristic
33C2×C42×D3C2211yescharacteristic
34C3×#446C2214yescomplemented
35C3×#446C2214yescomplemented
36C3×#433C2214yes—
37C3×#432C2211yescharacteristic
38C3×#432C2211yescharacteristic
39#5024C2214yescomplemented
40#5024C2214yescomplemented
41#5000C2214yes—
42#4926C2211yescharacteristic
43#4926C2211yescharacteristic
44#4840C2214yescomplemented
45#4840C2214yescomplemented
46#4838C2214yes—
47#4837C2212yes—
48#4837C2214yescomplemented
49#4836C2214yes—
50#4836C2214yes—
51#4836C2214yescomplemented
52#4836C2214yescomplemented
53#4835C2212yes—
54#4834C2214yes—
55#4833C2212yes—
56D3×C4⋊C8C2212yes—
57D3×C4⋊C8C2214yescomplemented
58#4727C2214yes—
59#4727C2214yes—
60#4726C2212yes—
61D3×C22⋊C8C2212yes—
62#4719C2212yes—
63#4718C2212yes—
64#4708C2214yescomplemented
65#4707C2212yes—
66#4706C2214yes—
67#4706C2214yes—
68#4706C2214yescomplemented
69#4706C2214yescomplemented
70#4705C2212yes—
71#4705C2212yes—
72#4705C2214yescomplemented
73D3×#97C2212yes—
74#4689C2214yescomplemented
75#4688C2214yes—
76C8×D12C2214yes—
77#4685C2214yescomplemented
78#3444—31no—
79#2990—34no—
80#2989—34no—
81#2987—31no—
82#2987D311yescharacteristic, complemented
83#2980—31no—
84#2980—31no—
85#2976—34no—
86#2968—34no—
87#2967—34no—
88#2925—34no—
89#2920—31no—
90C2×#432—31no—
91C2×#239C2×C412yes—
92C2×#239C2×C412yes—
93C2×#235C2312yes—
94C22×C4×D3C2×C411yescharacteristic
95C22×C4×D3C2×C411yescharacteristic
96C22×C4×D3C2311yescharacteristic
97C3×C4⋊Q8C2×C411yescharacteristic
98C3×C4⋊Q8C2×C411yescharacteristic
99C3×#125C2×C412yes—
100C3×C22⋊Q8C2×C412yes—
101C3×C22⋊Q8C2×C412yes—
102C3×C4×Q8C2312yes—
103C3×C4×Q8C2312yes—
104C3×#117C2312yes—
105C2×C3×C42C2311yescharacteristic
106#947C2×C412yes—
107#947C2×C412yes—
108#946C2×C412yes—
109#946C2×C412yes—
110Q8×Dic3C2×C412yes—
111Q8×Dic3C2×C412yes—
112#930C2×C412yes—
113#930C2×C412yes—
114C2×C4×Dic3C2×C411yescharacteristic
115C2×C4×Dic3C2×C411yescharacteristic
116C2×C4×Dic3C2311yescharacteristic
117C2×ΓL(1,𝔽25)C2314yes—
118C2×ΓL(1,𝔽25)C2314yes—
119C2×ΓL(1,𝔽25)C2314yes—
120C2×D3×C8C2314yes—
121C2×D3×C8C2314yes—
122C2×D3×C8C2314yes—
123#898C2×C414yes—
124#898C2×C414yes—
125#897C2×C412yes—
126#897C2×C412yes—
127#895C2×C412yes—
128#895C2×C412yes—
129#895C2×C412yes—
130#895C2×C412yes—
131#894C2×C414yes—
132#894C2×C414yes—
133#893C2×C412yes—
134#893C2×C412yes—
135#893C2×C414yes—
136#893C2×C414yes—
137#893C2×C412yes—
138#893C2×C412yes—
139#892C2×C414yes—
140#892C2×C414yes—
141#892C2×C412yes—
142#892C2×C412yes—
143#890C2×C412yes—
144#890C2×C412yes—
145#887C2×C412yes—
146#887C2×C412yes—
147#886C2×C414yes—
148#882C2×C414yes—
149#67⋊C4C2×C414yes—
150#67⋊C4C2×C414yes—
151#875C2×C412yes—
152#874C2×C411yescharacteristic
153C4×D12C2314yes—
154C4×D12C2314yes—
155C4×D12C2312yes—
156C4×D12C2312yes—
157#872C2314yes—
158C42×D3C2×C411yescharacteristic
159C42×D3C2×C411yescharacteristic
160C42×D3C2×C411yescharacteristic
161C42×D3C2×C411yescharacteristic
162C42×D3C2314yes—
163C42×D3C2311yescharacteristic
164C42×D3C2311yescharacteristic
165C42×D3C2311yescharacteristic
166C42×D3C2311yescharacteristic
167#869C2×C411yescharacteristic
168C3×C4⋊C8C2312yes—
169C3×C4⋊C8C2312yes—
170C3×C4⋊C8C2314yes—
171C3×C4⋊C8C2314yes—
172C3×C22⋊C8C2312yes—
173C3×C22⋊C8C2312yes—
174C3×#97C2312yes—
175C3×#97C2312yes—
176C3×#97C2314yes—
177C3×C4×C8C2314yes—
178#830C2312yes—
179#830C2312yes—
180(C2×D3)⋊C8C2314yes—
181(C2×D3)⋊C8C2314yes—
182(C2×D3)⋊C8C2314yes—
183(C2×D3)⋊C8C2314yes—
184(C2×D3)⋊C8C2314yes—
185(C2×D3)⋊C8C2314yes—
186#815C2314yes—
187Dic3⋊C8C2314yes—
188Dic3⋊C8C2314yes—
189C8×Dic3C2314yes—
190C4⋊(C3⋊C8)C2312yes—
191C4⋊(C3⋊C8)C2312yes—
192C4⋊(C3⋊C8)C2314yes—
193C4⋊(C3⋊C8)C2314yes—
194#803C2312yes—
195#803C2312yes—
196#803C2314yes—
197C4×C3⋊C8C2314yes—
198#533—31no—
199#533—31no—
200#533C2×D311yescharacteristic
201#532—31no—
202#532—31no—
203#532—31no—
204#529—32no—
205#529—32no—
206#529—32no—
207#529—32no—
208#529—32no—
209#529—32no—
210#525—32no—
211#525—32no—
212#525—32no—
213C4×#41—32no—
214C4×#41—32no—
215C4×#41—32no—
216C22×C42—31no—
217#446—34no—
218#446—34no—
219#446C2×D314yescomplemented
220#446C2×D314yescomplemented
221#436—34no—
222#436—34no—
223#435—34no—
224#435—34no—
225#435—34no—
226#435—34no—
227#435—34no—
228#435—34no—
229#435—34no—
230#435—34no—
231C8×D4—34no—
232C8×D4—34no—
233#433—34no—
234#433—34no—
235#433—34no—
236#433C2×D314yes—
237#432—31no—
238#432—31no—
239#432—32no—
240#432—32no—
241#432—32no—
242#432—32no—
243#432—34no—
244#432C2×D311yescharacteristic
245#432C2×D311yescharacteristic
246#431—32no—
247#431—32no—
248#431—34no—
249#423—32no—
250#423—34no—
251C2×C4⋊C8—32no—
252C2×C4⋊C8—34no—
253#408—34no—
254#408—34no—
255#407—32no—
256C2×C22⋊C8—32no—
257#405—34no—
258#405—34no—
259C4×M16—32no—
260C2×#97—32no—
261C23×D3C22×C411yescharacteristic
262C2×C3×Q8C22×C412yes—
263C2×C3×Q8C22×C412yes—
264C22×C3×C4C22×C411yescharacteristic
265C22×C3×C4C22×C411yescharacteristic
266C22×C3×C4C2411yescharacteristic
267C2×#67C22×C414yes—
268C22×Dic3C22×C411yescharacteristic
269C22×Dic3C22×C411yescharacteristic
270C22×Dic3C22×C411yescharacteristic
271#239—44no—
272#239—44no—
273#235—42no—
274#235—42no—
275C2×D12C22×C414yes—
276C2×D12C22×C412yes—
277C2×D12C22×C412yes—
278C2×D12C22×C414yes—
279C2×D12C22×C412yes—
280C2×C4×D3—42no—
281C2×C4×D3—42no—
282C2×C4×D3—42no—
283C2×C4×D3C22×C411yescharacteristic
284C2×C4×D3C22×C411yescharacteristic
285C2×C4×D3C22×C411yescharacteristic
286C2×C4×D3C22×C411yescharacteristic
287C2×C4×D3C22×C414yes—
288C2×C4×D3C22×C411yescharacteristic
289C2×C4×D3C22×C411yescharacteristic
290C2×C4×D3C22×C411yescharacteristic
291C2×C4×D3C22×C411yescharacteristic
292C2×C4×D3C22×C411yescharacteristic
293C2×C4×D3C22×C411yescharacteristic
294C2×C4×D3C22×C414yes—
295C2×C4×D3C2411yescharacteristic
296C2×C4×D3C2411yescharacteristic
297C2×C4×D3C2414yes—
298C2×Dic6C22×C412yes—
299C2×C3×C8C2414yes—
300C2×C3×C8C2414yes—
301C3×C4⋊C4C22×C412yes—
302C3×C4⋊C4C22×C412yes—
303C3×C4⋊C4C22×C412yes—
304C3×C4⋊C4C22×C412yes—
305C3×C4⋊C4C22×C414yes—
306C3×C4⋊C4C22×C414yes—
307C3×C22⋊C4C22×C414yes—
308C3×C42C22×C411yescharacteristic
309C3×C42C22×C411yescharacteristic
310C3×C42C2414yes—
311C3×C42C2411yescharacteristic
312C3×C42C2411yescharacteristic
313(C2×D3)⋊C4C22×C414yes—
314(C2×D3)⋊C4C22×C414yes—
315(C2×D3)⋊C4C22×C414yes—
316(C2×D3)⋊C4C22×C414yes—
317(C2×D3)⋊C4C22×C414yes—
318(C2×D3)⋊C4C22×C414yes—
319(C2×D3)⋊C4C22×C414yes—
320(C2×D3)⋊C4C22×C414yes—
321C4⋊Dic3C22×C412yes—
322C4⋊Dic3C22×C412yes—
323C4⋊Dic3C22×C414yes—
324C4⋊Dic3C22×C414yes—
325Dic3⋊C4C22×C414yes—
326Dic3⋊C4C22×C414yes—
327C4×Dic3C22×C411yescharacteristic
328C4×Dic3C22×C411yescharacteristic
329C4×Dic3C22×C411yescharacteristic
330C4×Dic3C22×C411yescharacteristic
331C4×Dic3C22×C411yescharacteristic
332C4×Dic3C22×C411yescharacteristic
333C4×Dic3C22×C411yescharacteristic
334C4×Dic3C22×C411yescharacteristic
335C4×Dic3C22×C411yescharacteristic
336C4×Dic3C22×C411yescharacteristic
337C4×Dic3C22×C414yes—
338C4×Dic3C22×C414yes—
339C4×Dic3C2411yescharacteristic
340C4×Dic3C2411yescharacteristic
341C2×C3⋊C8C2414yes—
342C2×C3⋊C8C2414yes—
343ΓL(1,𝔽25)—44no—
344ΓL(1,𝔽25)—44no—
345ΓL(1,𝔽25)—44no—
346D3×C8—44no—
347D3×C8—44no—
348D3×C8—44no—
349C2×#41—32no—
350C2×#41—32no—
351C2×#41—32no—
352C23×C4—31no—
353C23×C4—31no—
354C23×C4—31no—
355C2×M16—34no—
356C2×M16—34no—
357C2×M16—34no—
358C22×C8—34no—
359C22×C8—34no—
360C22×C8—34no—
361C4⋊Q8—31no—
362C4⋊Q8C4×D311yescharacteristic
363C4⋊Q8C4×D311yescharacteristic
364#127—31no—
365#126—34no—
366#126—34no—
367#125—32no—
368#125—32no—
369#125C4×D312yes—
370#124—32no—
371#124—32no—
372#124—32no—
373#123—34no—
374#123—34no—
375#123—34no—
376C22⋊Q8—32no—
377C22⋊Q8—32no—
378C22⋊Q8—32no—
379C22⋊Q8—32no—
380C22⋊Q8C4×D312yes—
381C22⋊Q8C4×D312yes—
382#121—32no—
383#121—32no—
384#121—32no—
385#121—32no—
386#121—32no—
387#121—32no—
388#120—34no—
389C4×Q8—32no—
390C4×Q8—32no—
391C4×Q8—32no—
392C4×Q8—32no—
393C4×Q8C22×D312yes—
394C4×Q8C22×D312yes—
395C4×D4—34no—
396C4×D4—34no—
397C4×D4—32no—
398C4×D4—32no—
399C4×D4—32no—
400C4×D4—32no—
401C4×D4—34no—
402C4×D4—34no—
403C4×D4—34no—
404C4×D4—34no—
405C4×D4—32no—
406C4×D4—32no—
407#117—32no—
408#117—32no—
409#117—34no—
410#117—34no—
411#117—34no—
412#117C22×D312yes—
413C2×C42—31no—
414C2×C42—31no—
415C2×C42—31no—
416C2×C42—31no—
417C2×C42—31no—
418C2×C42—31no—
419C2×C42—31no—
420C2×C42—34no—
421C2×C42—31no—
422C2×C42—31no—
423C2×C42—31no—
424C2×C42—31no—
425C2×C42C22×D311yescharacteristic
426C4⋊C8—34no—
427C4⋊C8—34no—
428C4⋊C8—32no—
429C4⋊C8—34no—
430C4⋊C8—32no—
431C4⋊C8—34no—
432C4⋊C8C22×D312yes—
433C4⋊C8C22×D314yes—
434C4⋊C8C22×D312yes—
435C4⋊C8C22×D314yes—
436C22⋊C8—32no—
437C22⋊C8—32no—
438C22⋊C8—34no—
439C22⋊C8—34no—
440C22⋊C8—34no—
441C22⋊C8—34no—
442C22⋊C8—34no—
443C22⋊C8—34no—
444C22⋊C8C22×D312yes—
445C22⋊C8C22×D312yes—
446#97—34no—
447#97—32no—
448#97—32no—
449#97—34no—
450#97C22×D312yes—
451#97C22×D312yes—
452#97C22×D314yes—
453C4×C8—34no—
454C4×C8—34no—
455C4×C8C22×D314yes—
456C23×C3C23×C411yescharacteristic
457C22×D3—22no—
458C22×D3—41no—
459C22×D3—41no—
460C22×D3C23×C414yes—
461C22×D3C23×C411yescharacteristic
462C22×D3C23×C411yescharacteristic
463C3×Q8—42no—
464C3×Q8—42no—
465C2×C3×C4—22no—
466C2×C3×C4—41no—
467C2×C3×C4—41no—
468C2×C3×C4C23×C411yescharacteristic
469C2×C3×C4C23×C411yescharacteristic
470C2×C3×C4C23×C411yescharacteristic
471C2×C3×C4C23×C411yescharacteristic
472C2×C3×C4C23×C411yescharacteristic
473C2×C3×C4C23×C414yes—
474C2×C3×C4C23×C414yes—
475C2×C3×C4C2511yescharacteristic
476#67—44no—
477C2×Dic3—22no—
478C2×Dic3—41no—
479C2×Dic3—41no—
480C2×Dic3C23×C411yescharacteristic
481C2×Dic3C23×C411yescharacteristic
482C2×Dic3C23×C411yescharacteristic
483C2×Dic3C23×C411yescharacteristic
484C2×Dic3C23×C411yescharacteristic
485C2×Dic3C23×C414yes—
486C2×Dic3C23×C411yescharacteristic
487D12—28no—
488D12—42no—
489D12—42no—
490D12—42no—
491D12—44no—
492C4×D3—22no—
493C4×D3—22no—
494C4×D3—22no—
495C4×D3—24no—
496C4×D3—22no—
497C4×D3—24no—
498C4×D3—22no—
499C4×D3—22no—
500C4×D3—28no—
501C4×D3—41no—
502C4×D3—41no—
503C4×D3—41no—
504C4×D3—41no—
505C4×D3—41no—
506C4×D3—41no—
507C4×D3—44no—
508Dic6—42no—
509C3×C8—24no—
510C3×C8—24no—
511C3⋊C8—24no—
512C3⋊C8—24no—
513C24—31no—
514#41—122no—
515#41—122no—
516#41—124no—
517#41—124no—
518C2×Q8—32no—
519C2×Q8C2×C4×D312yes—
520C2×Q8C2×C4×D312yes—
521C2×D4—34no—
522C2×D4—34no—
523C2×D4—34no—
524C2×D4—32no—
525C2×D4—32no—
526C2×D4—32no—
527C22×C4—31no—
528C22×C4—31no—
529C22×C4—31no—
530C22×C4—31no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—31no—
534C22×C4—34no—
535C22×C4—31no—
536C22×C4—31no—
537C22×C4—34no—
538C22×C4—31no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—31no—
543C22×C4—31no—
544C22×C4—34no—
545C22×C4—122no—
546C22×C4—122no—
547C22×C4—122no—
548C22×C4C2×C4×D311yescharacteristic
549C22×C4C2×C4×D311yescharacteristic
550C22×C4C23×D311yescharacteristic
551M16—124no—
552M16—124no—
553M16—124no—
554C2×C8—34no—
555C2×C8—34no—
556C2×C8—124no—
557C2×C8—124no—
558C2×C8—124no—
559C2×C8C23×D314yes—
560C2×C8C23×D314yes—
561C4⋊C4—32no—
562C4⋊C4—32no—
563C4⋊C4—34no—
564C4⋊C4—34no—
565C4⋊C4—34no—
566C4⋊C4—34no—
567C4⋊C4C2×C4×D312yes—
568C4⋊C4C2×C4×D312yes—
569C4⋊C4C2×C4×D314yes—
570C4⋊C4C2×C4×D314yes—
571C4⋊C4C2×C4×D312yes—
572C4⋊C4C2×C4×D312yes—
573C22⋊C4—34no—
574C22⋊C4—34no—
575C22⋊C4—34no—
576C22⋊C4—34no—
577C22⋊C4—34no—
578C22⋊C4—34no—
579C22⋊C4—34no—
580C22⋊C4—34no—
581C22⋊C4C2×C4×D314yes—
582C42—31no—
583C42—31no—
584C42—31no—
585C42—31no—
586C42—31no—
587C42—31no—
588C42—31no—
589C42—31no—
590C42—31no—
591C42—31no—
592C42—34no—
593C42—34no—
594C42—31no—
595C42—31no—
596C42C2×C4×D311yescharacteristic
597C42C2×C4×D311yescharacteristic
598C42C23×D314yes—
599C42C23×D311yescharacteristic
600C42C23×D311yescharacteristic
601C22×C3—21no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3C24×C411yescharacteristic
605C2×D3—21no—
606C2×D3—21no—
607C2×D3—21no—
608C2×D3—24no—
609C2×D3—21no—
610C2×D3—24no—
611C2×D3—21no—
612C2×D3—24no—
613C2×D3—44no—
614C2×D3#56812yes—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—24no—
621C3×C4—24no—
622C3×C4#58512yes—
623Dic3—24no—
624Dic3—21no—
625Dic3—21no—
626Dic3—21no—
627Dic3—21no—
628Dic3—21no—
629Dic3#56812yes—
630C23—31no—
631C23—34no—
632C23—31no—
633C23—62no—
634C23—121no—
635C23—121no—
636C23C22×C4×D311yescharacteristic
637Q8—42no—
638Q8—42no—
639Q8—122no—
640D4—68no—
641D4—122no—
642D4—122no—
643D4—122no—
644D4—124no—
645D4—124no—
646C2×C4—22no—
647C2×C4—31no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—31no—
652C2×C4—31no—
653C2×C4—34no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—68no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—64no—
664C2×C4—62no—
665C2×C4—64no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—124no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4C22×C4×D311yescharacteristic
676C2×C4C22×C4×D311yescharacteristic
677C2×C4C22×C4×D311yescharacteristic
678C2×C4C22×C4×D311yescharacteristic
679C2×C4C22×C4×D311yescharacteristic
680C2×C4C22×C4×D314yes—
681C2×C4C22×C4×D314yes—
682C2×C4C24×D311yescharacteristic
683C8—24no—
684C8—24no—
685C8—64no—
686C8—64no—
687C2×C3—41no—
688C2×C3#342811yescharacteristic
689C2×C3C2×#56811yescharacteristic
690C2×C3C2×#56811yescharacteristic
691D3—22no—
692D3—44no—
693D3—41no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—32no—
698C22—61no—
699C22—61no—
700C22—61no—
701C22—64no—
702C22—61no—
703C22—64no—
704C22—61no—
705C22—64no—
706C22—124no—
707C22C23×C4×D311yescharacteristic
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—21no—
713C4—24no—
714C4—24no—
715C4—32no—
716C4—61no—
717C4—61no—
718C4—64no—
719C4—61no—
720C4—61no—
721C4—61no—
722C4#596812yes—
723C3#6029311yescharacteristic, complemented, Sylow
724C2—41no—
725C2—62no—
726C2—121no—
727C2—124no—
728C2#8587211yescharacteristic
729C2D3×#56811yescharacteristic
730C2D3×#56811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2987C2
prime radical#86257C2
cosocleC2×C3×C4C25
hypercenter#2987D3
hypocenterC3#60293
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2987

Complements

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

NH ≅ G/Ntype
2. C3×#2987C2semidirect
3. #83333C2semidirect
4. #79945C2semidirect
5. #79944C2semidirect
6. #79941C2semidirect
7. #79940C2semidirect
8. #79376C2semidirect
9. #79375C2semidirect
10. #79337C2semidirect
11. #79337C2semidirect
12. #79331C2semidirect
13. D3×#432C2semidirect
34. C3×#446C22semidirect
35. C3×#446C22semidirect
39. #5024C22semidirect
40. #5024C22semidirect
44. #4840C22semidirect
45. #4840C22semidirect
48. #4837C22semidirect
51. #4836C22semidirect
52. #4836C22semidirect
57. D3×C4⋊C8C22semidirect
64. #4708C22semidirect
68. #4706C22semidirect
69. #4706C22semidirect
72. #4705C22semidirect
74. #4689C22semidirect
77. #4685C22semidirect
82. #2987D3semidirect
219. #446C2×D3semidirect
220. #446C2×D3semidirect
723. C3#60293semidirect

Maximal subgroups

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

subgroupindex
#862572
C3×#29872
#833332
#799452
#799442
#799412
#799402
#793762
#793752
#793372
#793312
D3×#4322
#602933