Finite Group Databasebeta

← #11876931

Subgroups — #11876931

Order 1152.

783 conjugacy classes of subgroups.

The subgroup lattice has 733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5691C211yesmaximal, characteristic, complemented
2#10593921C211yesmaximal, characteristic, complemented
3#10592764C211yesmaximal, characteristic, complemented
4C3×#5068C211yesmaximal, characteristic, complemented
5#10590520C211yesmaximal, characteristic, complemented
6#10590515C211yesmaximal, characteristic, complemented
7#10590504C211yesmaximal, characteristic
8#10590503C211yesmaximal, characteristic, complemented
9#10590478C211yesmaximal, characteristic, complemented
10#10590477C211yesmaximal, characteristic, complemented
11#10590455C211yesmaximal, characteristic, complemented
12#10590454C211yesmaximal, characteristic, complemented
13#10590353C211yesmaximal, characteristic, complemented
14C4×#3711C211yesmaximal, characteristic, complemented
15#10590274C211yesmaximal, characteristic, complemented
16#83139—31nomaximal
17#81631—31nomaximal
18C32×#125C2211yescharacteristic
19#64079C2211yescharacteristic
20C3×#898—21no—
21C3×#897C2211yescharacteristic
22C3×#895C2211yescharacteristic
23C3×#894—21no—
24C3×#893—21no—
25C3×#893C2211yescharacteristic
26C3×#892—21no—
27C3×#887C2211yescharacteristic
28C3×#875C2211yescharacteristic
29C3×#875C2211yescharacteristic
30C3×C42×D3C2211yescharacteristic
31#63908C2211yescharacteristic
32#63905—21no—
33Dic3×D12C2211yescharacteristic
34#63879—21no—
35#63877—21no—
36#63859—21no—
37#63856C2211yescharacteristic
38Dic3×Dic6C2211yescharacteristic
39C2×#3718C2211yescharacteristic
40C2×#3715C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C2×#3711C2211yescharacteristic
44C2×#3711C2211yescharacteristic
45#63635C2211yescharacteristic
46#63635C2211yescharacteristic
47#63634C2211yescharacteristic
48#63634C2211yescharacteristic
49C4×C3⋊(C3⋊C8)C2211yescharacteristic
50C3×#810C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#809C2211yescharacteristic
53C3×#809C2211yescharacteristic
54C3×C4×C3⋊C8C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63554C2211yescharacteristic
60#63554C2211yescharacteristic
61C3×#529—31no—
62#5691D311yescharacteristic, complemented
63#5680—31no—
64#5479—31no—
65C3×#488—31no—
66#5068D311yescharacteristic, complemented
67#5065—31no—
68#5065—31no—
69#5065—61no—
70#5059—31no—
71#5059—31no—
72#5056—31no—
73#5052—31no—
74#5049—31no—
75#5042—31no—
76#5039—31no—
77#5030—31no—
78#5026—31no—
79#5018—31no—
80#5014—31no—
81C4×#208—31no—
82#4817—31no—
83#4816—31no—
84#4812—31no—
85#4789—31no—
86#4785—31no—
87#4782—31no—
88#4780—31no—
89#4757—31no—
90#4697—31no—
91C4×ΓL(1,𝔽25)—31no—
92C2×C3×D12—21no—
93C2×C3×D12C2311yescharacteristic
94C2×C3×D12C2311yescharacteristic
95C2×C3×C4×D3—21no—
96C2×C3×C4×D3D411yescharacteristic
97C2×C3×C4×D3D411yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#625—21no—
102C2×D3×Dic3—21no—
103C32×C4⋊C4—21no—
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C4⋊C4C2311yescharacteristic
107C32×C42C2311yescharacteristic
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111#3750—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3—21no—
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3D411yescharacteristic
125C3×C4×Dic3D411yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129#3724—21no—
130Dic3⋊Dic3—21no—
131(C2×D3)⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134Dic32—21no—
135#3718—22no—
136#3715—22no—
137#3715—22no—
138#3713—22no—
139#3711—22no—
140#3711—22no—
141#3183—91noSylow
142C3×#126—61no—
143C3×#125—21no—
144C3×#125C2×D311yescharacteristic
145C3×#125C2×D311yescharacteristic
146C3×#124—31no—
147C3×#124—31no—
148C3×#123—61no—
149C3×C22⋊Q8—31no—
150C3×#121—31no—
151C3×C4×Q8—31no—
152C3×C4×D4—31no—
153C3×C4×D4—61no—
154C3×#117—61no—
155C2×C3×C42—31no—
156#946—31no—
157Q8×Dic3—31no—
158C2×#216—31no—
159C2×#216—31no—
160C2×#215—31no—
161C2×#215—31no—
162#938—31no—
163D4×Dic3—31no—
164C2×#214—31no—
165C2×#214—31no—
166C2×#213—31no—
167C2×#213—31no—
168#930—31no—
169#929—61no—
170C4×#67—61no—
171#924—31no—
172C2×#208—31no—
173C2×#208—31no—
174C2×ΓL(1,𝔽25)—31no—
175C2×ΓL(1,𝔽25)—31no—
176#898—21no—
177#897C2×D311yescharacteristic
178#895C2×D311yescharacteristic
179#894—21no—
180#893—21no—
181#893C2×D311yescharacteristic
182#892—21no—
183#887C2×D311yescharacteristic
184#883—61no—
185#67⋊C4—61no—
186#879—61no—
187#877—61no—
188#876—61no—
189#875C2×D311yescharacteristic
190#875C2×D311yescharacteristic
191C4×D12—31no—
192#872—61no—
193C42×D3C2×D311yescharacteristic
194#870—31no—
195#870—31no—
196#870—61no—
197C4×Dic6—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×#102—31no—
201C3×#102—31no—
202C3×C4×C8—31no—
203#835—31no—
204#835—31no—
205#832—31no—
206#832—31no—
207#821—31no—
208#821—31no—
209#816—31no—
210#816—31no—
211#815—31no—
212#815—31no—
213#810C2×D311yescharacteristic
214#810C2×D311yescharacteristic
215#809C2×D311yescharacteristic
216#809C2×D311yescharacteristic
217#808—31no—
218#808—31no—
219#808—31no—
220#808—31no—
221#808—61no—
222#808—61no—
223#807—31no—
224#807—31no—
225#807—31no—
226#807—31no—
227#807—61no—
228#807—61no—
229#803—31no—
230#803—31no—
231C4×C3⋊C8—31no—
232C4×C3⋊C8—31no—
233C4×C3⋊C8—61no—
234C4×C3⋊C8C2×D311yescharacteristic
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C3×D12—21no—
251C3×D12—21no—
252C3×D12—21no—
253C3×D12—21no—
254C3×D12—42no—
255C3×C4×D3—21no—
256C3×C4×D3—21no—
257C3×C4×D3—41no—
258C3×C4×D3—41no—
259C3×C4×D3—42no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264#625—42no—
265D3×Dic3—42no—
266C3⋊(C3⋊C8)#4112yes—
267C3⋊(C3⋊C8)#4112yes—
268C3×C3⋊C8—21no—
269C3×C3⋊C8—21no—
270#529—31no—
271#529—91no—
272#499—91no—
273#495—91no—
274#488—31no—
275#488—91no—
276#470—91no—
277#469—91no—
278#468—91no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—31no—
286C2×C3×Q8—31no—
287C2×C3×D4—31no—
288C2×C3×D4—31no—
289C2×C3×D4—61no—
290C22×C3×C4—31no—
291C22×C3×C4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—61no—
294C2×#67—61no—
295C2×#67—61no—
296C22×Dic3—61no—
297C2×D12—21no—
298C2×D12C22×D311yescharacteristic
299C2×D12C22×D311yescharacteristic
300C2×C4×D3—21no—
301C2×C4×D3—61no—
302C2×C4×D3#6711yescharacteristic
303C2×C4×D3#6711yescharacteristic
304C2×C4×D3C22×D311yescharacteristic
305C2×Dic6C22×D311yescharacteristic
306C2×Dic6C22×D311yescharacteristic
307C2×C3×C8—31no—
308C2×C3×C8—31no—
309C3×C4⋊C4—21no—
310C3×C4⋊C4—21no—
311C3×C4⋊C4—21no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—41no—
316C3×C4⋊C4—41no—
317C3×C4⋊C4—61no—
318C3×C4⋊C4—61no—
319C3×C4⋊C4C22×D311yescharacteristic
320C3×C4⋊C4C22×D311yescharacteristic
321C3×C4⋊C4C22×D311yescharacteristic
322C3×C4⋊C4C22×D311yescharacteristic
323C3×C22⋊C4—61no—
324C3×C22⋊C4—61no—
325C3×C22⋊C4—61no—
326C3×C22⋊C4—61no—
327C3×C22⋊C4—61no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—21no—
331C3×C42—31no—
332C3×C42—31no—
333C3×C42—31no—
334C3×C42—61no—
335C3×C42C22×D311yescharacteristic
336C3×C42C22×D311yescharacteristic
337#217—61no—
338#217—61no—
339#217—61no—
340#216—62no—
341#216—62no—
342#215—62no—
343#215—62no—
344#214—62no—
345#214—62no—
346#213—62no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—21no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—121no—
375Dic3⋊C4—121no—
376C4×Dic3—21no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3#6711yescharacteristic
380C4×Dic3#6711yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382#208—62no—
383#208—62no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—61no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392ΓL(1,𝔽25)—62no—
393ΓL(1,𝔽25)—62no—
394C22×C32C22×D411yescharacteristic
395C2×C3×D3—21no—
396C2×C3×D3—21no—
397C2×C3×D3—21no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C2×C3×D3—41no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C32×C4—21no—
405C32×C4—21no—
406C32×C4—41no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—41no—
411C3⋊Dic3—41no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C2×Q16—91no—
418C2×SD16—91no—
419C2×SD16—91no—
420C2×D8—91no—
421C2×M16—91no—
422C2×M16—91no—
423#126—61no—
424#126—181no—
425#125—91no—
426#125D3211yescharacteristic
427#124—31no—
428#124—31no—
429#123—61no—
430#123—181no—
431C22⋊Q8—31no—
432C22⋊Q8—91no—
433#121—31no—
434#121—91no—
435C4×Q8—31no—
436C4×Q8—91no—
437C4×D4—31no—
438C4×D4—61no—
439C4×D4—91no—
440C4×D4—181no—
441#117—61no—
442#117—181no—
443C2×C42—31no—
444#107—91no—
445#107—91no—
446#106—91no—
447#106—91no—
448#103—31no—
449#103—31no—
450#103—91no—
451#103—91no—
452#102—31no—
453#102—31no—
454#102—91no—
455#102—91no—
456#97—91no—
457#97—91no—
458C4×C8—31no—
459C4×C8—91no—
460C23×C3—31no—
461C23×C3—61no—
462C23×C3—61no—
463C22×D3—21no—
464C22×D3—21no—
465C22×D3C2×#6711yescharacteristic
466C3×Q8—61no—
467C3×Q8—61no—
468C3×Q8—61no—
469C3×Q8—61no—
470C3×D4—61no—
471C3×D4—61no—
472C3×D4—61no—
473C3×D4—61no—
474C3×D4—122no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—41no—
486C2×C3×C4—41no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—121no—
492C2×C3×C4—121no—
493C2×C3×C4—122no—
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4C2×#6711yescharacteristic
497C2×C3×C4C2×#6711yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500#67—122no—
501#67—122no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—121no—
509C2×Dic3—121no—
510C2×Dic3—122no—
511C2×Dic3C2×#6711yescharacteristic
512C2×Dic3C2×#6711yescharacteristic
513C2×Dic3C2×#6711yescharacteristic
514D12—21no—
515D12—21no—
516D12—21no—
517D12—21no—
518D12—42no—
519C4×D3—21no—
520C4×D3—21no—
521C4×D3—41no—
522C4×D3—41no—
523C4×D3—42no—
524C4×D3—122no—
525Dic6—21no—
526Dic6—21no—
527Dic6—21no—
528Dic6—21no—
529C3×C8—61no—
530C3×C8—61no—
531C3⋊C8—21no—
532C3⋊C8—21no—
533C3⋊C8—32no—
534C3⋊C8—32no—
535C3⋊C8—32no—
536C3⋊C8—32no—
537C3⋊C8—62no—
538C3⋊C8—62no—
539C2×C32#53211yescharacteristic
540C2×C32#57511yescharacteristic
541C2×C32#57511yescharacteristic
542C3×D3—41no—
543C3×D3—81no—
544C3×D3—81no—
545C2×Q8—31no—
546C2×Q8—31no—
547C2×D4—31no—
548C2×D4—31no—
549C2×D4—61no—
550C2×D4—181no—
551C22×C4—31no—
552C22×C4—31no—
553C22×C4—31no—
554C22×C4—61no—
555C22×C4—181no—
556Q16—182no—
557SD16—182no—
558SD16—182no—
559D8—182no—
560M16—182no—
561M16—182no—
562C2×C8—31no—
563C2×C8—31no—
564C2×C8—91no—
565C2×C8—91no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—91no—
571C4⋊C4—91no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C4⋊C4C2×D3211yescharacteristic
577C4⋊C4C2×D3211yescharacteristic
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—61no—
581C22⋊C4—61no—
582C22⋊C4—61no—
583C22⋊C4—61no—
584C22⋊C4—61no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C22⋊C4—181no—
588C42—31no—
589C42—31no—
590C42—31no—
591C42—61no—
592C42—181no—
593C42C2×D3211yescharacteristic
594C22×C3—21no—
595C22×C3—61no—
596C22×C3—61no—
597C22×C3—61no—
598C22×C3—121no—
599C22×C3—121no—
600C22×C3—121no—
601C22×C3—121no—
602C22×C3—121no—
603C22×C3—121no—
604C22×C3C2×D3×D411yescharacteristic
605C22×C3C22×#6711yescharacteristic
606C2×D3—21no—
607C2×D3—21no—
608C2×D3—21no—
609C2×D3—41no—
610C2×D3—41no—
611C2×D3—41no—
612C2×D3—41no—
613C2×D3—41no—
614C2×D3—41no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4—61no—
628C3×C4—61no—
629C3×C4—61no—
630C3×C4—81no—
631C3×C4—81no—
632C3×C4—121no—
633C3×C4—121no—
634C3×C4D3×#4111yescharacteristic
635C3×C4D3×#4111yescharacteristic
636C3×C4D3×#4111yescharacteristic
637C3×C4D3×#4111yescharacteristic
638Dic3—21no—
639Dic3—21no—
640Dic3—21no—
641Dic3—41no—
642Dic3—41no—
643Dic3—121no—
644Dic3—121no—
645Dic3—121no—
646Dic3—121no—
647Dic3—241no—
648Dic3—241no—
649C32#318311yescharacteristic, complemented, Sylow
650C23—31no—
651C23—61no—
652C23—61no—
653Q8—61no—
654Q8—61no—
655Q8—61no—
656Q8—61no—
657D4—61no—
658D4—61no—
659D4—61no—
660D4—61no—
661D4—122no—
662D4—362no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—31no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—122no—
675C2×C4—181no—
676C2×C4—181no—
677C2×C4—362no—
678C2×C4D3×#6711yescharacteristic
679C2×C4D3×#6711yescharacteristic
680C2×C4C22×D3211yescharacteristic
681C8—61no—
682C8—61no—
683C8—92no—
684C8—92no—
685C2×C3—21no—
686C2×C3—21no—
687C2×C3—21no—
688C2×C3—121no—
689C2×C3—241no—
690C2×C3—241no—
691C2×C3#566811yescharacteristic
692C2×C3#576811yescharacteristic
693C2×C3#576811yescharacteristic
694C2×C3#582211yescharacteristic
695C2×C3#582211yescharacteristic
696C2×C3#583211yescharacteristic
697D3—41no—
698D3—81no—
699D3—81no—
700C22—61no—
701C22—61no—
702C22—61no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22—121no—
708C22—121no—
709C22C2×D3×#6711yescharacteristic
710C4—21no—
711C4—21no—
712C4—41no—
713C4—41no—
714C4—61no—
715C4—61no—
716C4—61no—
717C4—121no—
718C4—121no—
719C4—361no—
720C4—361no—
721C4#6431911yescharacteristic
722C4#6431911yescharacteristic
723C3—21no—
724C3#8163111yescharacteristic, complemented
725C3#8313911yescharacteristic, complemented
726C2—121no—
727C2—241no—
728C2—241no—
729C2#1059535911yescharacteristic
730C2#1059545311yescharacteristic
731C2#1059545311yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radical#10590504C2
hypercenter#125D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. C3×#5691C2semidirect
2. #10593921C2semidirect
3. #10592764C2semidirect
4. C3×#5068C2semidirect
5. #10590520C2semidirect
6. #10590515C2semidirect
8. #10590503C2semidirect
9. #10590478C2semidirect
10. #10590477C2semidirect
11. #10590455C2semidirect
12. #10590454C2semidirect
13. #10590353C2semidirect
14. C4×#3711C2semidirect
15. #10590274C2semidirect
62. #5691D3semidirect
66. #5068D3semidirect
649. C32#3183semidirect
724. C3#81631semidirect
725. C3#83139semidirect

Maximal subgroups

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

subgroupindex
C3×#56912
#105939212
#105927642
C3×#50682
#105905202
#105905152
#105905042
#105905032
#105904782
#105904772
#105904552
#105904542
#105903532
C4×#37112
#105902742
#831393
#816313