Finite Group Databasebeta

← #11658821

Subgroups — #11658821

Order 768.

2666 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5750C211yesmaximal, characteristic
2C2×D3×#131C211yesmaximal, characteristic
3#85834C211yesmaximal, characteristic
4C3×#2906C211yesmaximal, characteristic, complemented
5#83783C211yesmaximal, characteristic, complemented
6#83783C211yesmaximal, characteristic, complemented
7#82512C211yesmaximal, characteristic, complemented
8#79081C213yesmaximal, complemented
9#79081C213yesmaximal, complemented
10#79080C213yesmaximal, complemented
11D3×#424C213yesmaximal, complemented
12#79049C213yesmaximal, complemented
13#79048C213yesmaximal, complemented
14#79012C213yesmaximal, complemented
15C2×#4839C213yesmaximal, complemented
16#60100—31nomaximal, Sylow
17C2×D3×#41C2211yescharacteristic
18C2×C3×#131C2211yescharacteristic
19C2×C3×#131C2211yescharacteristic
20C3×C4×#41C2211yescharacteristic
21Dic3×#41C2211yescharacteristic
22C2×#948C2211yescharacteristic
23C2×#948C2211yescharacteristic
24#5750—28no—
25D3×#131—28no—
26C2×#907C2213yes—
27C2×#907C2213yes—
28C2×D3×M16C2213yes—
29C2×D3×M16C2213yes—
30C2×#901C2213yes—
31C2×#901C2213yes—
32C22×ΓL(1,𝔽25)C2213yes—
33C22×D3×C8C2213yes—
34#5574C411yescharacteristic
35#5574C411yescharacteristic
36#5572C411yescharacteristic
37#5572C411yescharacteristic
38#5546C413yes—
39#5546C413yes—
40#5545C413yes—
41#5545C413yes—
42#5522C2213yes—
43D3×#117C2213yes—
44C4×#235C2213yes—
45C2×#872C2213yes—
46C3×#424C2213yescomplemented
47C3×#424C2213yescomplemented
48C3×#423C2213yescomplemented
49C2×C3×C4⋊C8C2213yescomplemented
50#5119C2213yescomplemented
51#5119C2213yescomplemented
52#5118C2213yescomplemented
53#5118C2213yescomplemented
54#5102C2213yescomplemented
55#5102C2213yescomplemented
56C2×Dic3⋊C8C2213yescomplemented
57C2×Dic3⋊C8C2213yescomplemented
58#4999C2213yescomplemented
59#4999C2213yescomplemented
60#4924C2213yescomplemented
61C2×C4⋊(C3⋊C8)C2213yescomplemented
62#4839C2211yescharacteristic
63#4839C2213yes—
64#4839C2213yes—
65#4839C2213yes—
66#4839C2216yes—
67#4839C2213yescomplemented
68#4839C2213yescomplemented
69#4839C2213yescomplemented
70#4839C2213yescomplemented
71#4839C2216yescomplemented
72#4839C2216yescomplemented
73#4837C2216yescomplemented
74#4837C2216yescomplemented
75D3×C4⋊C8C2216yescomplemented
76D3×C4⋊C8C2216yescomplemented
77C2×#568—31no—
78C22×#131—31no—
79#3428—31no—
80#2906—33no—
81#2906—33no—
82#2906—33no—
83#2906—33no—
84#2906—31no—
85#2906—31no—
86#2906—31no—
87#2906D311yescharacteristic, complemented
88#2905—33no—
89#2905—33no—
90C2×#424—33no—
91C2×#424—33no—
92C2×C3×#41C2311yescharacteristic
93D3×#41D418yes—
94D3×#41Q818yes—
95C2×#239C2×C411yescharacteristic
96C2×D3×Q8C2×C411yescharacteristic
97C2×#237C2×C413yes—
98C2×D3×D4C2×C413yes—
99C2×#235C2313yes—
100C22×C4×D3C2313yes—
101C3×#131—24no—
102C3×#131—24no—
103C2×C3×M16C2313yes—
104C2×C3×M16C2313yes—
105C22×C3×C8C2313yes—
106C22×C3×C8C2313yes—
107C3×C4×Q8C2×C411yescharacteristic
108C3×C4×Q8C2×C411yescharacteristic
109C3×C4×D4C2×C413yes—
110C3×C4×D4C2×C413yes—
111C3×#117C2313yes—
112C2×C3×C42C2313yes—
113#948—24no—
114#948—24no—
115Q8×Dic3C2×C411yescharacteristic
116Q8×Dic3C2×C411yescharacteristic
117D4×Dic3C2×C413yes—
118D4×Dic3C2×C413yes—
119C4×#67C2×C416yes—
120C4×#67C2×C416yes—
121C2×(C2×D3)⋊C4C2×C413yes—
122C2×(C2×D3)⋊C4C2×C413yes—
123#926C2313yes—
124C2×Dic3⋊C4C2×C413yes—
125C2×Dic3⋊C4C2×C413yes—
126C2×C4×Dic3C2313yes—
127C2×#208C2313yes—
128C2×#208C2313yes—
129C22×C3⋊C8C2313yes—
130C22×C3⋊C8C2313yes—
131#907—212no—
132#907—212no—
133D3×M16—212no—
134D3×M16—212no—
135#901—212no—
136#901—212no—
137C2×ΓL(1,𝔽25)—212no—
138C2×ΓL(1,𝔽25)C2311yescharacteristic
139C2×ΓL(1,𝔽25)C2313yes—
140C2×ΓL(1,𝔽25)C2313yes—
141C2×ΓL(1,𝔽25)C2313yes—
142C2×ΓL(1,𝔽25)C2316yes—
143C2×D3×C8—212no—
144C2×D3×C8C2311yescharacteristic
145C2×D3×C8C2313yes—
146C2×D3×C8C2313yes—
147C2×D3×C8C2313yes—
148C2×D3×C8C2316yes—
149#893C2×C413yes—
150#893C2×C413yes—
151#892C2×C413yes—
152#892C2×C413yes—
153D3×C4⋊C4C2×C413yes—
154D3×C4⋊C4C2×C413yes—
155#887C2×C413yes—
156#887C2×C413yes—
157#67⋊C4C2×C416yes—
158#67⋊C4C2×C416yes—
159D3×C22⋊C4C2×C416yes—
160#877C2×C416yes—
161C4×D12C2×C413yes—
162C4×D12C2×C413yes—
163#872C2×C413yes—
164#872C2×C413yes—
165#872C2×C413yes—
166#872C2×C413yes—
167#872C2311yescharacteristic
168#872C2313yes—
169#872C2313yes—
170#872C2313yes—
171C42×D3C2316yes—
172C4×Dic6C2×C413yes—
173C4×Dic6C2×C413yes—
174C3×C4⋊C8C2311yescharacteristic
175C3×C4⋊C8C2313yes—
176C3×C4⋊C8C2313yes—
177C3×C4⋊C8C2313yes—
178C3×C4⋊C8C2316yes—
179Dic3⋊C8C2313yes—
180Dic3⋊C8C2313yes—
181Dic3⋊C8C2316yes—
182Dic3⋊C8C2316yes—
183Dic3⋊C8C2313yes—
184Dic3⋊C8C2313yes—
185Dic3⋊C8C2311yescharacteristic
186Dic3⋊C8C2311yescharacteristic
187Dic3⋊C8C2313yes—
188Dic3⋊C8C2313yes—
189C4⋊(C3⋊C8)C2311yescharacteristic
190C4⋊(C3⋊C8)C2313yes—
191C4⋊(C3⋊C8)C2313yes—
192C4⋊(C3⋊C8)C2313yes—
193C4⋊(C3⋊C8)C2316yes—
194C22×#41—31no—
195#568—68no—
196C2×#131—31no—
197C2×#131—31no—
198C2×#131—33no—
199C2×#131—33no—
200C2×#131—33no—
201C2×#131—33no—
202C2×#131—68no—
203C2×#131C2×D311yescharacteristic
204C2×#131C2×D311yescharacteristic
205C22×M16—33no—
206C22×M16—33no—
207C22×M16—33no—
208C23×C8—33no—
209#520—31no—
210#520—31no—
211#520—33no—
212#520—33no—
213#519—31no—
214#519—31no—
215#518—33no—
216#518—33no—
217C4×#41—31no—
218C4×#41—33no—
219C4×#41—33no—
220C4×#41C2×D311yescharacteristic
221C2×#117—33no—
222C2×#117—33no—
223#424—33no—
224#424—33no—
225#424—33no—
226#424—33no—
227#424—33no—
228#424—33no—
229#424—33no—
230#424—31no—
231#424—36no—
232#424—33no—
233#424—33no—
234#424—33no—
235#424—33no—
236#424—33no—
237#424—33no—
238#424—36no—
239#424—36no—
240#424C2×D313yescomplemented
241#424C2×D313yescomplemented
242#423—33no—
243#423—33no—
244#423—33no—
245#423—36no—
246#423—36no—
247#423C2×D313yescomplemented
248C2×C4⋊C8—33no—
249C2×C4⋊C8—33no—
250C2×C4⋊C8—33no—
251C2×C4⋊C8—36no—
252C2×C4⋊C8—36no—
253C2×C4⋊C8C2×D313yescomplemented
254C23×D3C22×C413yes—
255C3×#41C2×D414yes—
256C3×#41C2×Q814yes—
257C2×C3×Q8C22×C411yescharacteristic
258C2×C3×D4C22×C413yes—
259C22×C3×C4C22×C413yes—
260C22×C3×C4C22×C413yes—
261C22×C3×C4C2413yes—
262C2×#67C22×C416yes—
263C22×Dic3C22×C413yes—
264C22×Dic3C22×C413yes—
265C22×Dic3C22×C413yes—
266#239C4⋊C418yes—
267D3×Q8C4⋊C418yes—
268#237C4⋊C4124yes—
269D3×D4C4⋊C4124yes—
270#235C2×D4112yes—
271#235C2×Q8112yes—
272C2×D12C22×C413yes—
273C2×C4×D3C22×C416yes—
274C2×C4×D3C22×C416yes—
275C2×C4×D3C22×C413yes—
276C2×C4×D3C22×C413yes—
277C2×C4×D3C2×D4112yes—
278C2×C4×D3C2×Q8112yes—
279C2×C4×D3C2413yes—
280C2×C4×D3C2411yescharacteristic
281C2×Dic6C22×C413yes—
282C3×M16—26no—
283C3×M16—26no—
284C2×C3×C8—26no—
285C2×C3×C8—26no—
286C2×C3×C8C2411yescharacteristic
287C2×C3×C8C2413yes—
288C2×C3×C8C2413yes—
289C2×C3×C8C2411yescharacteristic
290C3×C4⋊C4C22×C413yes—
291C3×C4⋊C4C22×C413yes—
292C3×C22⋊C4C22×C416yes—
293C3×C42C22×C413yes—
294C3×C42C22×C413yes—
295C3×C42C2413yes—
296C3×C42C2411yescharacteristic
297#217C22×C416yes—
298(C2×D3)⋊C4C22×C411yescharacteristic
299(C2×D3)⋊C4C22×C411yescharacteristic
300(C2×D3)⋊C4C22×C413yes—
301(C2×D3)⋊C4C22×C413yes—
302(C2×D3)⋊C4C22×C413yes—
303(C2×D3)⋊C4C22×C413yes—
304(C2×D3)⋊C4C22×C413yes—
305(C2×D3)⋊C4C22×C413yes—
306C4⋊Dic3C22×C413yes—
307C4⋊Dic3C22×C413yes—
308Dic3⋊C4C22×C413yes—
309Dic3⋊C4C22×C413yes—
310Dic3⋊C4C22×C411yescharacteristic
311Dic3⋊C4C22×C411yescharacteristic
312Dic3⋊C4C22×C413yes—
313Dic3⋊C4C22×C413yes—
314Dic3⋊C4C22×C413yes—
315Dic3⋊C4C22×C413yes—
316C4×Dic3C22×C416yes—
317C4×Dic3C22×C416yes—
318C4×Dic3C22×C413yes—
319C4×Dic3C22×C413yes—
320C4×Dic3C2413yes—
321C4×Dic3C2411yescharacteristic
322#208—26no—
323#208—26no—
324C2×C3⋊C8—26no—
325C2×C3⋊C8—26no—
326C2×C3⋊C8C2411yescharacteristic
327C2×C3⋊C8C2413yes—
328C2×C3⋊C8C2413yes—
329C2×C3⋊C8C2411yescharacteristic
330ΓL(1,𝔽25)—22no—
331ΓL(1,𝔽25)—26no—
332ΓL(1,𝔽25)—26no—
333ΓL(1,𝔽25)—26no—
334ΓL(1,𝔽25)—212no—
335D3×C8—22no—
336D3×C8—26no—
337D3×C8—26no—
338D3×C8—26no—
339D3×C8—212no—
340C2×#41—38no—
341C2×#41—38no—
342C2×#41—31no—
343C2×#41—33no—
344C2×#41—33no—
345C2×#41C22×D311yescharacteristic
346C22×Q8—31no—
347C22×D4—33no—
348C23×C4—33no—
349#131—24no—
350#131—24no—
351#131—612no—
352#131—612no—
353#131—612no—
354#131—612no—
355#131—64no—
356#131—64no—
357C2×M16—33no—
358C2×M16—33no—
359C2×M16—33no—
360C2×M16—31no—
361C2×M16—36no—
362C2×M16—33no—
363C2×M16—33no—
364C2×M16—612no—
365C2×M16—612no—
366C2×M16—612no—
367C2×M16C22×D313yes—
368C2×M16C22×D313yes—
369C22×C8—33no—
370C22×C8—33no—
371C22×C8—31no—
372C22×C8—33no—
373C22×C8—33no—
374C22×C8—33no—
375C22×C8—36no—
376C22×C8—612no—
377C22×C8C22×D313yes—
378C22×C8C22×D313yes—
379C4×Q8—31no—
380C4×Q8—31no—
381C4×Q8—33no—
382C4×Q8—33no—
383C4×Q8—33no—
384C4×Q8—33no—
385C4×Q8C4×D311yescharacteristic
386C4×Q8C4×D311yescharacteristic
387C4×D4—33no—
388C4×D4—33no—
389C4×D4—36no—
390C4×D4—36no—
391C4×D4—33no—
392C4×D4—33no—
393C4×D4—36no—
394C4×D4—36no—
395C4×D4—33no—
396C4×D4—33no—
397C4×D4C4×D313yes—
398C4×D4C4×D313yes—
399#117—33no—
400#117—33no—
401#117—33no—
402#117—36no—
403#117—33no—
404#117—33no—
405#117—33no—
406#117—33no—
407#117—33no—
408#117—31no—
409#117—33no—
410#117—33no—
411#117C22×D313yes—
412C2×C4⋊C4—33no—
413C2×C4⋊C4—33no—
414C2×C4⋊C4—33no—
415C2×C4⋊C4—33no—
416C2×C22⋊C4—33no—
417C2×C22⋊C4—33no—
418C2×C22⋊C4—36no—
419C2×C42—33no—
420C2×C42—36no—
421C2×C42C22×D313yes—
422C4⋊C8—33no—
423C4⋊C8—31no—
424C4⋊C8—33no—
425C4⋊C8—31no—
426C4⋊C8—36no—
427C4⋊C8—36no—
428C4⋊C8—33no—
429C4⋊C8—33no—
430C4⋊C8—33no—
431C4⋊C8—33no—
432C4⋊C8—33no—
433C4⋊C8—31no—
434C4⋊C8—33no—
435C4⋊C8—36no—
436C4⋊C8—33no—
437C4⋊C8C22×D313yes—
438C4⋊C8C22×D316yes—
439C4⋊C8C22×D311yescharacteristic
440C4⋊C8C22×D313yes—
441C4⋊C8C22×D313yes—
442C23×C3C23×C413yes—
443C22×D3—43no—
444C22×D3—43no—
445C22×D3C2×C4⋊C4112yes—
446C22×D3C23×C411yescharacteristic
447C22×D3C23×C413yes—
448C3×Q8C2×C4⋊C414yes—
449C3×D4C2×C4⋊C4112yes—
450C2×C3×C4—43no—
451C2×C3×C4—43no—
452C2×C3×C4C23×C413yes—
453C2×C3×C4C23×C413yes—
454C2×C3×C4C23×C411yescharacteristic
455C2×C3×C4C23×C411yescharacteristic
456C2×C3×C4C23×C413yes—
457C2×C3×C4C22×D416yes—
458C2×C3×C4C22×Q816yes—
459C2×C3×C4C2511yescharacteristic
460#67C2×C4⋊C4124yes—
461C2×Dic3—43no—
462C2×Dic3—43no—
463C2×Dic3C2×C4⋊C4112yes—
464C2×Dic3C23×C411yescharacteristic
465C2×Dic3C23×C411yescharacteristic
466C2×Dic3C23×C413yes—
467C2×Dic3C23×C413yes—
468C2×Dic3C23×C413yes—
469C2×Dic3C23×C411yescharacteristic
470D12C2×C4⋊C4112yes—
471C4×D3—46no—
472C4×D3—46no—
473C4×D3C2×C4⋊C4112yes—
474C4×D3C2×C4⋊C4112yes—
475C4×D3C22×D412yes—
476C4×D3C22×D416yes—
477C4×D3C22×Q812yes—
478C4×D3C22×Q816yes—
479Dic6C2×C4⋊C4112yes—
480C3×C8—21no—
481C3×C8—23no—
482C3×C8—23no—
483C3×C8—21no—
484C3⋊C8—21no—
485C3⋊C8—23no—
486C3⋊C8—23no—
487C3⋊C8—21no—
488C24—33no—
489#41—38no—
490#41—324no—
491#41—312no—
492#41—312no—
493#41D3×D414yes—
494#41D3×Q814yes—
495C2×Q8—38no—
496C2×Q8—33no—
497C2×Q8C2×C4×D311yescharacteristic
498C2×D4—36no—
499C2×D4—324no—
500C2×D4—33no—
501C2×D4C2×C4×D313yes—
502C22×C4—33no—
503C22×C4—33no—
504C22×C4—33no—
505C22×C4—312no—
506C22×C4—312no—
507C22×C4—33no—
508C22×C4—31no—
509C22×C4—33no—
510C22×C4—33no—
511C22×C4—36no—
512C22×C4—36no—
513C22×C4C2×C4×D313yes—
514C22×C4C2×C4×D313yes—
515C22×C4C23×D313yes—
516M16—26no—
517M16—26no—
518M16—62no—
519M16—66no—
520M16—66no—
521M16—66no—
522M16—612no—
523M16—66no—
524M16—66no—
525C2×C8—26no—
526C2×C8—26no—
527C2×C8—31no—
528C2×C8—31no—
529C2×C8—33no—
530C2×C8—33no—
531C2×C8—62no—
532C2×C8—66no—
533C2×C8—66no—
534C2×C8—66no—
535C2×C8—612no—
536C2×C8—66no—
537C2×C8—66no—
538C2×C8C23×D311yescharacteristic
539C2×C8C23×D313yes—
540C2×C8C23×D313yes—
541C2×C8C23×D311yescharacteristic
542C4⋊C4—33no—
543C4⋊C4—33no—
544C4⋊C4—31no—
545C4⋊C4—31no—
546C4⋊C4—33no—
547C4⋊C4—33no—
548C4⋊C4—33no—
549C4⋊C4—33no—
550C4⋊C4—33no—
551C4⋊C4—33no—
552C4⋊C4C2×C4×D313yes—
553C4⋊C4C2×C4×D313yes—
554C22⋊C4—36no—
555C22⋊C4—33no—
556C22⋊C4—33no—
557C22⋊C4—31no—
558C22⋊C4—31no—
559C22⋊C4—33no—
560C22⋊C4—33no—
561C22⋊C4—33no—
562C22⋊C4—33no—
563C22⋊C4C2×C4×D316yes—
564C42—36no—
565C42—36no—
566C42—33no—
567C42—33no—
568C42—31no—
569C42—33no—
570C42C2×C4×D313yes—
571C42C2×C4×D313yes—
572C42C23×D313yes—
573C42C23×D311yescharacteristic
574C22×C3—23no—
575C22×C3—23no—
576C22×C3C22×C4⋊C416yes—
577C22×C3C24×C411yescharacteristic
578C2×D3—23no—
579C2×D3—23no—
580C2×D3—21no—
581C2×D3—21no—
582C2×D3—412no—
583C2×D3C22×C4⋊C412yes—
584C2×D3C22×C4⋊C416yes—
585C3×C4—23no—
586C3×C4—23no—
587C3×C4—21no—
588C3×C4—21no—
589C3×C4C22×C4⋊C416yes—
590C3×C4C23×D411yescharacteristic
591C3×C4C23×Q811yescharacteristic
592Dic3—23no—
593Dic3—23no—
594Dic3—21no—
595Dic3—21no—
596Dic3C22×C4⋊C416yes—
597Dic3C22×C4⋊C412yes—
598C23—31no—
599C23—33no—
600C23—312no—
601C23—123no—
602C23—123no—
603C23C22×C4×D313yes—
604Q8—312no—
605Q8D3×C4⋊C414yes—
606D4—324no—
607D4—312no—
608D4D3×C4⋊C4112yes—
609C2×C4—33no—
610C2×C4—31no—
611C2×C4—312no—
612C2×C4—32no—
613C2×C4—36no—
614C2×C4—32no—
615C2×C4—36no—
616C2×C4—312no—
617C2×C4—312no—
618C2×C4—33no—
619C2×C4—31no—
620C2×C4—33no—
621C2×C4—31no—
622C2×C4—43no—
623C2×C4—43no—
624C2×C4—126no—
625C2×C4—126no—
626C2×C4—123no—
627C2×C4—123no—
628C2×C4C22×C4×D313yes—
629C2×C4C22×C4×D313yes—
630C2×C4C22×C4×D311yescharacteristic
631C2×C4C22×C4×D311yescharacteristic
632C2×C4C22×C4×D313yes—
633C2×C4C2×D3×D416yes—
634C2×C4C2×D3×Q816yes—
635C2×C4C24×D311yescharacteristic
636C8—21no—
637C8—21no—
638C8—23no—
639C8—23no—
640C8—61no—
641C8—63no—
642C8—63no—
643C8—61no—
644C2×C3—26no—
645C2×C3C23×C4⋊C411yescharacteristic
646C2×C3#357311yescharacteristic
647C2×C3#357311yescharacteristic
648D3—22no—
649D3—26no—
650C22—23no—
651C22—23no—
652C22—32no—
653C22—36no—
654C22—63no—
655C22—61no—
656C22—63no—
657C22—61no—
658C22—1212no—
659C22C2×D3×C4⋊C416yes—
660C22C23×C4×D311yescharacteristic
661C4—21no—
662C4—23no—
663C4—21no—
664C4—23no—
665C4—32no—
666C4—36no—
667C4—63no—
668C4—61no—
669C4—63no—
670C4—61no—
671C4C2×D3×C4⋊C416yes—
672C4C22×D3×D411yescharacteristic
673C4C22×D3×Q811yescharacteristic
674C3#6010011yescharacteristic, complemented, Sylow
675C2—26no—
676C2—62no—
677C2—66no—
678C2C22×D3×C4⋊C411yescharacteristic
679C2#8716011yescharacteristic
680C2#8716611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D3
commutator, socleC22×C3C24×C4
FittingC3×#2906C2
prime radicalC2×D3×#41C22
cosocleC2×C3×C4C25
hypercenter#2906D3
hypocenterC3#60100
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. C3×#2906C2semidirect
5. #83783C2semidirect
6. #83783C2semidirect
7. #82512C2semidirect
8. #79081C2semidirect
9. #79081C2semidirect
10. #79080C2semidirect
11. D3×#424C2semidirect
12. #79049C2semidirect
13. #79048C2semidirect
14. #79012C2semidirect
15. C2×#4839C2semidirect
46. C3×#424C22semidirect
47. C3×#424C22semidirect
48. C3×#423C22semidirect
49. C2×C3×C4⋊C8C22semidirect
50. #5119C22semidirect
51. #5119C22semidirect
52. #5118C22semidirect
53. #5118C22semidirect
54. #5102C22semidirect
55. #5102C22semidirect
56. C2×Dic3⋊C8C22semidirect
57. C2×Dic3⋊C8C22semidirect
58. #4999C22semidirect
59. #4999C22semidirect
60. #4924C22semidirect
61. C2×C4⋊(C3⋊C8)C22semidirect
67. #4839C22semidirect
68. #4839C22semidirect
69. #4839C22semidirect
70. #4839C22semidirect
71. #4839C22semidirect
72. #4839C22semidirect
73. #4837C22semidirect
74. #4837C22semidirect
75. D3×C4⋊C8C22semidirect
76. D3×C4⋊C8C22semidirect
87. #2906D3semidirect
240. #424C2×D3semidirect
241. #424C2×D3semidirect
247. #423C2×D3semidirect
253. C2×C4⋊C8C2×D3semidirect
674. C3#60100semidirect

Maximal subgroups

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

subgroupindex
C2×#57502
C2×D3×#1312
#858342
C3×#29062
#837832
#825122
#790812
#790802
D3×#4242
#790492
#790482
#790122
C2×#48392
#601003