Finite Group Databasebeta

← #11865870

Subgroups — #11865870

Order 1152.

1251 conjugacy classes of subgroups.

The subgroup lattice has 762 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596303C211yesmaximal, characteristic, complemented
2C2×C3×#949C211yesmaximal, characteristic, complemented
3C2×#63898C211yesmaximal, characteristic, complemented
4C2×#63830C211yesmaximal, characteristic, complemented
5C3×#5232C211yesmaximal, characteristic, complemented
6#10591570C212yesmaximal, complemented
7#10591569C212yesmaximal, complemented
8#10591434C212yesmaximal, complemented
9#10591433C212yesmaximal, complemented
10#10591120C211yesmaximal, characteristic, complemented
11#10591106C211yesmaximal, characteristic, complemented
12#83931—31nomaximal
13#78910—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C2×#3828C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×D3×Dic3—21no—
18#64156C2211yescharacteristic, complemented
19#64153C2211yescharacteristic, complemented
20#64149C2211yescharacteristic, complemented
21#64148—21no—
22#64148—21no—
23#64145C2211yescharacteristic, complemented
24C4×#638—21no—
25C4×#638—21no—
26C2×C4×C3⋊Dic3C2211yescharacteristic
27C3×#949—24no—
28C2×C3×#215C2212yes—
29C2×C3×#213C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×#208C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C2×(C2×D3)⋊Dic3—21no—
34#63898—21no—
35#63898—21no—
36#63898C2212yes—
37#63898C2212yes—
38#63830—24no—
39C2×#3716C2212yes—
40C2×#3714C2212yes—
41C3×#835C2212yescomplemented
42C3×#832C2212yescomplemented
43#63572C2212yescomplemented
44#63572C2212yescomplemented
45#63567C2212yescomplemented
46#63564C2212yescomplemented
47C2×C3×AGL(1,ℤ/8)—31no—
48#5832—31no—
49#5832—31no—
50#5832—61no—
51C2×#949D311yescharacteristic, complemented
52C2×D4×Dic3—31no—
53C2×#932—31no—
54C2×#908—31no—
55C2×#893—31no—
56C3×#417—31no—
57#5232D311yescharacteristic, complemented
58#5165—32no—
59#5162—32no—
60#5153—32no—
61#5150—32no—
62#5133—31no—
63#5118—31no—
64#5118—31no—
65#4966—31no—
66#4819—32no—
67#4818—32no—
68#4787—32no—
69#4786—32no—
70C23×C3×D3—21no—
71C32×#41—22no—
72C32×#41—22no—
73C2×C32×Q8C2311yescharacteristic
74C2×C32×D4—21no—
75C2×C32×D4C2311yescharacteristic
76C22×C32×C4—21no—
77C22×C32×C4C2311yescharacteristic
78C2×#638—21no—
79C2×#638—21no—
80C2×#638—21no—
81C22×C3⋊Dic3D411yescharacteristic
82C22×C3⋊Dic3D411yescharacteristic
83#3828—22no—
84#3828—22no—
85C2×C4⋊(C3⋊D3)C2311yescharacteristic
86C2×C4×C3⋊D3—21no—
87C2×#634C2311yescharacteristic
88C22×C3×Dic3—21no—
89C2×C3×D12—21no—
90C2×C3×D12—22no—
91C2×C3×D12D414yescomplemented
92C2×C3×D12C2312yes—
93C2×D3×Dic3—22no—
94C2×D3×Dic3—22no—
95C2×D3×Dic3—44no—
96#3757—21no—
97#3757—21no—
98#3752—21no—
99#3752—21no—
100#3750—21no—
101#3750—21no—
102C4×C3⋊Dic3D411yescharacteristic
103C4×C3⋊Dic3D411yescharacteristic
104C4×C3⋊Dic3C2311yescharacteristic
105C4×C3⋊Dic3C2311yescharacteristic
106C3×#215—24no—
107C3×#213—24no—
108C3×C4⋊Dic3—21no—
109C3×C4⋊Dic3C2312yes—
110C3×#208—22no—
111C3×#208—22no—
112C2×C3×C3⋊C8C2312yes—
113C2×C3×C3⋊C8C2312yes—
114(C2×D3)⋊Dic3—22no—
115(C2×D3)⋊Dic3—22no—
116#3716—24no—
117#3714—24no—
118#3036—91noSylow
119C2×C3×#41—21no—
120C2×C3×#41C2×D311yescharacteristic
121C2×C3×#41C2×D311yescharacteristic
122C22×C3×D4—31no—
123C23×Dic3—61no—
124C2×#235—31no—
125C2×#235—31no—
126C2×#235—61no—
127C22×D12C2×D311yescharacteristic
128C22×C4×D3—61no—
129C3×AGL(1,ℤ/8)—64no—
130C2×C3×SD16—32no—
131C2×C3×D8—32no—
132C2×C3×M16—31no—
133C2×C3×M16—31no—
134C2×C3×C4⋊C4—31no—
135C2×#217—61no—
136#949—24no—
137#947—31no—
138#947—31no—
139#947—61no—
140#944—31no—
141#944—31no—
142#944—61no—
143C2×#215C2×D312yes—
144#940—31no—
145#940—31no—
146#940—61no—
147#939—61no—
148#939—61no—
149#939—61no—
150#939—61no—
151#939—62no—
152#939—62no—
153#936—31no—
154#936—31no—
155#936—61no—
156D4×Dic3—32no—
157D4×Dic3—32no—
158D4×Dic3—61no—
159D4×Dic3—61no—
160C2×#214—32no—
161#932—64no—
162C2×#213—32no—
163C2×#213C2×D312yes—
164C4×#67—61no—
165C4×#67—61no—
166C4×#67—61no—
167C4×#67—61no—
168C4×#67—62no—
169C4×#67—62no—
170C2×(C2×D3)⋊C4—61no—
171C2×C4⋊Dic3C2×D311yescharacteristic
172C2×C4×Dic3—31no—
173C2×C4×Dic3—31no—
174C2×C4×Dic3—61no—
175C2×#208C2×D311yescharacteristic
176C2×#208C2×D311yescharacteristic
177#908—64no—
178C2×D24—32no—
179C2×#204—32no—
180#893—32no—
181#893—32no—
182#893—61no—
183#893—61no—
184C3×#103—32no—
185C3×#102—32no—
186#835C2×D312yescomplemented
187#832C2×D312yescomplemented
188#821—32no—
189#816—32no—
190Dic3⋊C8—32no—
191Dic3⋊C8—32no—
192Dic3⋊C8—32no—
193Dic3⋊C8—32no—
194#810—32no—
195#809—32no—
196C23×C32—21no—
197C23×C32C2×D411yescharacteristic
198C22×C3⋊D3—21no—
199C22×C3×D3—24no—
200C22×C3×D3—22no—
201C22×C3×D3—42no—
202C22×C3×D3—42no—
203C32×Q8—21no—
204C32×Q8—21no—
205C32×D4—21no—
206C32×D4—21no—
207C32×D4—42no—
208C2×C32×C4—21no—
209C2×C32×C4—42no—
210C2×C32×C4C2×D411yescharacteristic
211C2×C32×C4C2×D412yes—
212C2×C32×C4#4112yes—
213C2×C32×C4C2411yescharacteristic
214#638—42no—
215#638—42no—
216#638—42no—
217C2×C3⋊Dic3—21no—
218C2×C3⋊Dic3—22no—
219C2×C3⋊Dic3—41no—
220C2×C3⋊Dic3C2×D411yescharacteristic
221C2×C3⋊Dic3C2×D411yescharacteristic
222C2×C3⋊Dic3C2×D411yescharacteristic
223C2×C3⋊Dic3C2×D411yescharacteristic
224C4⋊(C3⋊D3)—21no—
225C4⋊(C3⋊D3)—21no—
226C4×C3⋊D3—42no—
227#634—21no—
228#634—21no—
229C2×C3×Dic3—22no—
230C2×C3×Dic3—42no—
231C3×D12—24no—
232C3×D12—22no—
233C3×D12C2×D414yes—
234D3×Dic3—44no—
235D3×Dic3—44no—
236C3×C3⋊C8—22no—
237C3×C3⋊C8—22no—
238C2×AGL(1,ℤ/8)—31no—
239C2×AGL(1,ℤ/8)—91no—
240#532—91no—
241C2×C4×D4—91no—
242#463—92no—
243#463—92no—
244#461—92no—
245#459—92no—
246#423—91no—
247#417—31no—
248#417—91no—
249C24×C3—61no—
250C23×D3—21no—
251C3×#41—22no—
252C3×#41—22no—
253C3×#41—22no—
254C3×#41—22no—
255C3×#41—42no—
256C3×#41—42no—
257C2×C3×Q8—21no—
258C2×C3×Q8C22×D311yescharacteristic
259C2×C3×Q8C22×D311yescharacteristic
260C2×C3×D4—22no—
261C2×C3×D4—21no—
262C2×C3×D4—21no—
263C2×C3×D4—21no—
264C2×C3×D4—34no—
265C2×C3×D4—32no—
266C2×C3×D4—62no—
267C2×C3×D4—61no—
268C2×C3×D4C22×D311yescharacteristic
269C2×C3×D4C22×D311yescharacteristic
270C22×C3×C4—22no—
271C22×C3×C4—21no—
272C22×C3×C4—21no—
273C22×C3×C4—21no—
274C22×C3×C4—61no—
275C22×C3×C4C22×D311yescharacteristic
276C22×C3×C4C22×D311yescharacteristic
277C2×#67—61no—
278C2×#67—61no—
279C2×#67—61no—
280C2×#67—61no—
281C2×#67—62no—
282C2×#67—62no—
283C2×#67—62no—
284C2×#67—61no—
285C2×#67—61no—
286C22×Dic3—21no—
287C22×Dic3—31no—
288C22×Dic3—31no—
289C22×Dic3—31no—
290C22×Dic3—31no—
291C22×Dic3—61no—
292C22×Dic3—61no—
293C22×Dic3—62no—
294C22×Dic3—62no—
295C22×Dic3—124no—
296#235—62no—
297#235—62no—
298#235—62no—
299#235—62no—
300#235—122no—
301#235—122no—
302C2×D12—21no—
303C2×D12—22no—
304C2×D12—31no—
305C2×D12—31no—
306C2×D12—61no—
307C2×D12#6714yescomplemented
308C2×D12C22×D312yes—
309C2×C4×D3—62no—
310C2×C4×D3—62no—
311C2×C4×D3—62no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—124no—
315C2×Dic6—31no—
316C2×Dic6—31no—
317C2×Dic6—61no—
318C3×SD16—64no—
319C3×D8—64no—
320C3×M16—62no—
321C3×M16—62no—
322C2×C3×C8—32no—
323C2×C3×C8—32no—
324C3×C4⋊C4—32no—
325C3×C4⋊C4—61no—
326#217—62no—
327#217—62no—
328#217—61no—
329#217—61no—
330#217—61no—
331#217—61no—
332#217—62no—
333#217—62no—
334#215—24no—
335#214—64no—
336#213—24no—
337#213—64no—
338(C2×D3)⋊C4—61no—
339(C2×D3)⋊C4—61no—
340(C2×D3)⋊C4—61no—
341(C2×D3)⋊C4—61no—
342(C2×D3)⋊C4—62no—
343(C2×D3)⋊C4—62no—
344(C2×D3)⋊C4—62no—
345(C2×D3)⋊C4—62no—
346C4⋊Dic3—21no—
347C4⋊Dic3C22×D312yes—
348Dic3⋊C4—61no—
349Dic3⋊C4—61no—
350Dic3⋊C4—61no—
351Dic3⋊C4—61no—
352Dic3⋊C4—62no—
353Dic3⋊C4—62no—
354C4×Dic3—31no—
355C4×Dic3—31no—
356C4×Dic3—31no—
357C4×Dic3—31no—
358C4×Dic3—31no—
359C4×Dic3—31no—
360C4×Dic3—31no—
361C4×Dic3—31no—
362C4×Dic3—61no—
363C4×Dic3—61no—
364C4×Dic3—61no—
365C4×Dic3—61no—
366#208—22no—
367#208—22no—
368C2×C3⋊C8C22×D312yes—
369C2×C3⋊C8C22×D312yes—
370D24—64no—
371#204—64no—
372C22×C32—21no—
373C22×C32—21no—
374C22×C32—41no—
375C22×C32—41no—
376C22×C32—41no—
377C22×C32#12112yes—
378C22×C32C22×D411yescharacteristic
379C2×C3⋊D3—41no—
380C2×C3⋊D3—41no—
381C2×C3⋊D3—41no—
382C2×C3×D3—24no—
383C2×C3×D3—48no—
384C2×C3×D3—42no—
385C2×C3×D3—42no—
386C32×C4—41no—
387C32×C4#12112yes—
388C32×C4C22×D411yescharacteristic
389C32×C4C2×#4111yescharacteristic
390C3⋊Dic3—21no—
391C3⋊Dic3—21no—
392C3⋊Dic3—21no—
393C3⋊Dic3—41no—
394C3⋊Dic3AGL(1,ℤ/8)12yescomplemented
395C3×Dic3—42no—
396C2×#41—91no—
397C2×#41D3211yescharacteristic
398C22×D4—31no—
399C23×C4—181no—
400AGL(1,ℤ/8)—64no—
401AGL(1,ℤ/8)—184no—
402C2×SD16—32no—
403C2×SD16—92no—
404C2×D8—32no—
405C2×D8—92no—
406C2×M16—31no—
407C2×M16—31no—
408C4⋊Q8—91no—
409#127—91no—
410#124—91no—
411#124—91no—
412#121—181no—
413#121—181no—
414C4×D4—92no—
415C4×D4—92no—
416C4×D4—181no—
417C4×D4—181no—
418C4×D4—181no—
419C4×D4—181no—
420C2×C4⋊C4—31no—
421C2×C22⋊C4—181no—
422C2×C42—91no—
423C4⋊C8—92no—
424C4⋊C8—92no—
425#103—32no—
426#103—92no—
427#102—32no—
428#102—92no—
429C23×C3—22no—
430C23×C3—21no—
431C23×C3—21no—
432C23×C3—21no—
433C23×C3—64no—
434C23×C3—62no—
435C23×C3—122no—
436C23×C3—122no—
437C23×C3D3×D411yescharacteristic
438C23×C3D3×D411yescharacteristic
439C22×D3—24no—
440C22×D3—22no—
441C22×D3—42no—
442C22×D3—42no—
443C22×D3—62no—
444C22×D3—61no—
445C22×D3—61no—
446C3×Q8—21no—
447C3×Q8—21no—
448C3×Q8—21no—
449C3×Q8—21no—
450C3×Q8—41no—
451C3×Q8—41no—
452C3×D4—21no—
453C3×D4—21no—
454C3×D4—21no—
455C3×D4—21no—
456C3×D4—34no—
457C3×D4—41no—
458C3×D4—41no—
459C3×D4—44no—
460C3×D4—42no—
461C3×D4—42no—
462C3×D4—64no—
463C3×D4—62no—
464C2×C3×C4—22no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—22no—
469C2×C3×C4—22no—
470C2×C3×C4—21no—
471C2×C3×C4—44no—
472C2×C3×C4—42no—
473C2×C3×C4—42no—
474C2×C3×C4—62no—
475C2×C3×C4—122no—
476C2×C3×C4#23512yes—
477C2×C3×C4D3×D412yes—
478C2×C3×C4D3×D411yescharacteristic
479C2×C3×C4D3×D411yescharacteristic
480C2×C3×C4#23712yes—
481C2×C3×C4C2×#6712yes—
482C2×C3×C4C23×D311yescharacteristic
483C2×C3×C4C23×D311yescharacteristic
484#67—122no—
485#67—122no—
486#67—124no—
487#67—124no—
488#67—122no—
489#67—122no—
490#67—124no—
491#67—122no—
492#67—122no—
493C2×Dic3—22no—
494C2×Dic3—31no—
495C2×Dic3—31no—
496C2×Dic3—31no—
497C2×Dic3—31no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—42no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—62no—
508C2×Dic3—62no—
509C2×Dic3—62no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—122no—
513C2×Dic3—124no—
514C2×Dic3—124no—
515C2×Dic3—121no—
516C2×Dic3—121no—
517C2×Dic3—122no—
518D12—24no—
519D12—22no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—61no—
524D12—121no—
525D12—121no—
526D12C2×#6714yes—
527C4×D3—124no—
528C4×D3—124no—
529C4×D3—124no—
530C4×D3—122no—
531C4×D3—122no—
532Dic6—61no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—121no—
537Dic6—121no—
538C3×C8—62no—
539C3×C8—62no—
540C3⋊C8—22no—
541C3⋊C8—22no—
542C2×C32—22no—
543C2×C32—81no—
544C2×C32C2×#12111yescharacteristic
545C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
546C2×C32#57511yescharacteristic
547C3⋊D3—81no—
548C3×D3—44no—
549C24—61no—
550#41—22no—
551#41—22no—
552#41—182no—
553#41—182no—
554C2×Q8—91no—
555C2×Q8C2×D3211yescharacteristic
556C2×D4—21no—
557C2×D4—32no—
558C2×D4—34no—
559C2×D4—62no—
560C2×D4—61no—
561C2×D4—91no—
562C2×D4—181no—
563C2×D4—181no—
564C2×D4—181no—
565C2×D4C2×D3211yescharacteristic
566C22×C4—21no—
567C22×C4—61no—
568C22×C4—91no—
569C22×C4—91no—
570C22×C4—182no—
571C22×C4—182no—
572C22×C4—181no—
573C22×C4—364no—
574C22×C4C2×D3211yescharacteristic
575SD16—64no—
576SD16—184no—
577D8—64no—
578D8—184no—
579M16—62no—
580M16—62no—
581C2×C8—32no—
582C2×C8—32no—
583C4⋊C4—32no—
584C4⋊C4—61no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C22⋊C4—181no—
588C22⋊C4—181no—
589C22⋊C4—182no—
590C22⋊C4—182no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C42—91no—
594C42—91no—
595C42—91no—
596C42—91no—
597C22×C3—21no—
598C22×C3—21no—
599C22×C3—21no—
600C22×C3—21no—
601C22×C3—21no—
602C22×C3—22no—
603C22×C3—41no—
604C22×C3—41no—
605C22×C3—42no—
606C22×C3—42no—
607C22×C3—42no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—64no—
615C22×C3—128no—
616C22×C3—122no—
617C22×C3—122no—
618C22×C3#88412yes—
619C22×C3#93912yes—
620C22×C3C2×D3×D411yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—24no—
623C2×D3—48no—
624C2×D3—42no—
625C2×D3—42no—
626C2×D3—122no—
627C2×D3—122no—
628C2×D3—122no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—22no—
638C3×C4—42no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—122no—
642C3×C4#88412yes—
643C3×C4#93912yes—
644C3×C4C2×#23511yescharacteristic
645C3×C4C2×D3×D411yescharacteristic
646C3×C4C2×#23711yescharacteristic
647C3×C4C22×#6711yescharacteristic
648Dic3—32no—
649Dic3—32no—
650Dic3—42no—
651Dic3—62no—
652Dic3—62no—
653Dic3—61no—
654Dic3—61no—
655Dic3—61no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—121no—
660Dic3—121no—
661Dic3—122no—
662Dic3—121no—
663Dic3—121no—
664C32#303611yescharacteristic, complemented, Sylow
665C23—21no—
666C23—62no—
667C23—64no—
668C23—122no—
669C23—122no—
670C23—181no—
671C23#381111yescharacteristic
672Q8—21no—
673Q8—21no—
674Q8—181no—
675Q8—181no—
676D4—21no—
677D4—21no—
678D4—34no—
679D4—42no—
680D4—62no—
681D4—64no—
682D4—181no—
683D4—181no—
684D4—362no—
685D4—362no—
686D4—362no—
687C2×C4—21no—
688C2×C4—42no—
689C2×C4—62no—
690C2×C4—91no—
691C2×C4—91no—
692C2×C4—91no—
693C2×C4—91no—
694C2×C4—122no—
695C2×C4—182no—
696C2×C4—181no—
697C2×C4—364no—
698C2×C4—364no—
699C2×C4—361no—
700C2×C4—362no—
701C2×C4#380412yes—
702C2×C4D3×#6712yes—
703C2×C4#381111yescharacteristic
704C2×C4C22×D3211yescharacteristic
705C8—62no—
706C8—62no—
707C2×C3—22no—
708C2×C3—22no—
709C2×C3—21no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—42no—
713C2×C3—82no—
714C2×C3—81no—
715C2×C3—81no—
716C2×C3—124no—
717C2×C3C2×#88411yescharacteristic
718C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
719C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
720C2×C3#577311yescharacteristic
721C2×C3#577711yescharacteristic
722C2×C3C2×#93911yescharacteristic
723D3—44no—
724D3—242no—
725D3—241no—
726D3—241no—
727C22—21no—
728C22—21no—
729C22—41no—
730C22—41no—
731C22—41no—
732C22—64no—
733C22—128no—
734C22—122no—
735C22—122no—
736C22—361no—
737C22—361no—
738C22—361no—
739C22#6397112yes—
740C22C2×#381111yescharacteristic
741C4—41no—
742C4—92no—
743C4—122no—
744C4—181no—
745C4—181no—
746C4—181no—
747C4—361no—
748C4#6397112yes—
749C4C2×#380411yescharacteristic
750C4C2×D3×#6711yescharacteristic
751C3—21no—
752C3#7891011yescharacteristic, complemented
753C3#8393111yescharacteristic, complemented
754C2—22no—
755C2—81no—
756C2—124no—
757C2—721no—
758C2#1059545811yescharacteristic
759C2#1059547111yescharacteristic
760C2C2×#6397111yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3036
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. #10596303C2semidirect
2. C2×C3×#949C2semidirect
3. C2×#63898C2semidirect
4. C2×#63830C2semidirect
5. C3×#5232C2semidirect
6. #10591570C2semidirect
7. #10591569C2semidirect
8. #10591434C2semidirect
9. #10591433C2semidirect
10. #10591120C2semidirect
11. #10591106C2semidirect
18. #64156C22semidirect
19. #64153C22semidirect
20. #64149C22semidirect
23. #64145C22semidirect
41. C3×#835C22semidirect
42. C3×#832C22semidirect
43. #63572C22semidirect
44. #63572C22semidirect
45. #63567C22semidirect
46. #63564C22semidirect
51. C2×#949D3semidirect
57. #5232D3semidirect
91. C2×C3×D12D4semidirect
186. #835C2×D3semidirect
187. #832C2×D3semidirect
307. C2×D12#67semidirect
394. C3⋊Dic3AGL(1,ℤ/8)semidirect
664. C32#3036semidirect
752. C3#78910semidirect
753. C3#83931semidirect

Maximal subgroups

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

subgroupindex
#105963032
C2×C3×#9492
C2×#638982
C2×#638302
C3×#52322
#105915702
#105915692
#105914342
#105914332
#105911202
#105911062
#839313
#789103