Finite Group Databasebeta

← #11895854

Subgroups — #11895854

Order 1152.

806 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D4×Dic6C211yesmaximal, characteristic, complemented
2#10593850C211yesmaximal, characteristic, complemented
3#10592715C211yesmaximal, characteristic
4C3×#5018C211yesmaximal, characteristic, complemented
5#10591489C211yesmaximal, characteristic, complemented
6#10591471C211yesmaximal, characteristic
7#10591405C211yesmaximal, characteristic, complemented
8#10591400C211yesmaximal, characteristic
9#10590560C211yesmaximal, characteristic, complemented
10#10590535C211yesmaximal, characteristic, complemented
11#10590488C211yesmaximal, characteristic, complemented
12#10590464C211yesmaximal, characteristic, complemented
13#10590310C211yesmaximal, characteristic, complemented
14#10590294C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83563—31nomaximal
17#79751—31nomaximal
18C22×C3×Dic6—21no—
19C32×C4×D4C2211yescharacteristic
20C2×#3754C2211yescharacteristic
21C2×#3753C2211yescharacteristic
22#64084C2211yescharacteristic
23C3×D4×Dic3C2211yescharacteristic
24C3×D4×Dic3C2211yescharacteristic
25C2×C3×#214C2211yescharacteristic
26C3×#924—21no—
27C3×#888C2211yescharacteristic
28C3×#888C2211yescharacteristic
29C3×#878—21no—
30C3×#878—21no—
31C3×#869C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33C3×C4×Dic6C2211yescharacteristic
34#63894C2211yescharacteristic
35#63888—21no—
36#63868—21no—
37#63866C2211yescharacteristic
38#63864C2211yescharacteristic
39#63848—21no—
40#63844C2211yescharacteristic
41#63836—21no—
42#63637C2211yescharacteristic
43#63636C2211yescharacteristic
44C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
45C3×#832C2211yescharacteristic
46C3×#810C2211yescharacteristic
47C3×#807C2211yescharacteristic
48C3×#803C2211yescharacteristic
49#63576C2211yescharacteristic
50#63576C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63567C2211yescharacteristic
54#63567C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×D4×Q8—31no—
62#5584—31no—
63#5568—31no—
64D4×Dic6D311yescharacteristic, complemented
65C3×#440—31no—
66#5165—31no—
67#5162—31no—
68#5093—31no—
69#5091—31no—
70#5091—31no—
71#5089—31no—
72#5089—31no—
73#5087—31no—
74#5024—31no—
75#5021—31no—
76#5019—31no—
77#5018—31no—
78#5018D311yescharacteristic, complemented
79#5016—31no—
80#5016—31no—
81#5016—31no—
82#5016—61no—
83C4×#213—31no—
84#4890—31no—
85#4875—31no—
86#4794—31no—
87#4792—31no—
88#4757—31no—
89#4756—31no—
90#4714—31no—
91#4701—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×#634C2311yescharacteristic
96C22×C3×Dic3—21no—
97C22×C3×Dic3—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6—21no—
101C2×C3×Dic6—44no—
102C2×C3×Dic6D411yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#624—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C22⋊C4—21no—
107C32×C42C2311yescharacteristic
108#3754—22no—
109#3753—22no—
110#3752—21no—
111#3752—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217—21no—
116C3×#214—22no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3—21no—
128C3×C4×Dic3C2311yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136#3722—21no—
137#3722—21no—
138Dic32—21no—
139#3367—91noSylow
140C22×C3×Q8—61no—
141C22×Dic6—21no—
142C2×C3×SD16—31no—
143C3×C4⋊Q8—31no—
144C3×C4⋊Q8—31no—
145C3×C4⋊Q8—31no—
146C3×C22⋊Q8—61no—
147C3×C22⋊Q8—61no—
148C3×C22⋊Q8—61no—
149C3×C4×Q8—31no—
150C3×C4×Q8—31no—
151C3×C4×D4—21no—
152C3×C4×D4—31no—
153C3×C4×D4—31no—
154C3×C4×D4C2×D311yescharacteristic
155C3×C4×D4C2×D311yescharacteristic
156#947—31no—
157#946—61no—
158#944—31no—
159D4×Dic3C2×D311yescharacteristic
160D4×Dic3C2×D311yescharacteristic
161C2×#214—31no—
162C2×#214—31no—
163C2×#214—61no—
164C2×#214C2×D311yescharacteristic
165C2×#213—31no—
166C2×#213—31no—
167C2×#213—61no—
168#924—21no—
169#898—61no—
170#898—61no—
171#898—61no—
172#896—61no—
173#893—31no—
174#892—61no—
175#888C2×D311yescharacteristic
176#888C2×D311yescharacteristic
177#887—31no—
178#878—21no—
179#878—21no—
180#876—61no—
181#875—31no—
182#875—31no—
183#875—31no—
184#875—61no—
185C4×D12—31no—
186#872—61no—
187#869—31no—
188#869C2×D311yescharacteristic
189C4×Dic6—31no—
190C4×Dic6C2×D311yescharacteristic
191C4×Dic6C2×D311yescharacteristic
192C3×#107—31no—
193C3×#103—31no—
194C3×#102—31no—
195C3×#97—31no—
196#835—31no—
197#835—31no—
198#832C2×D311yescharacteristic
199#821—31no—
200#821—31no—
201#816—31no—
202#816—31no—
203#815—31no—
204Dic3⋊C8—31no—
205Dic3⋊C8—31no—
206C8×Dic3—31no—
207#810—31no—
208#810—31no—
209#810—31no—
210#810—31no—
211#810—31no—
212#810—31no—
213#810—61no—
214#810C2×D311yescharacteristic
215#809—31no—
216#809—31no—
217#809—31no—
218#809—31no—
219#809—61no—
220#807—31no—
221#807—31no—
222#807—31no—
223#807—31no—
224#807C2×D311yescharacteristic
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—61no—
230#803—31no—
231#803C2×D311yescharacteristic
232C4×C3⋊C8—31no—
233C23×C32—21no—
234C22×C3⋊D3—21no—
235C32×D4—21no—
236C32×D4#4112yes—
237C2×C32×C4—21no—
238C2×C32×C4—42no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245#634—21no—
246#634—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—42no—
252C2×C3×Dic3—42no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×Dic6—22no—
258C3×Dic6—21no—
259C3×Dic6—21no—
260C3×Dic6—42no—
261C3×Dic6—42no—
262C3×Dic6—42no—
263#624—42no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#556—91no—
269D4×Q8—31no—
270#489—91no—
271#489—91no—
272#487—91no—
273#477—91no—
274#477—91no—
275#474—91no—
276#463—91no—
277#463—91no—
278#461—91no—
279#446—91no—
280#440—31no—
281#440—91no—
282C4×D8—91no—
283C2×C3×Q8—31no—
284C2×C3×Q8—31no—
285C2×C3×Q8—61no—
286C2×C3×Q8—61no—
287C2×C3×Q8—61no—
288C2×C3×Q8—124no—
289C2×C3×D4—21no—
290C2×C3×D4C22×D311yescharacteristic
291C2×C3×D4C22×D311yescharacteristic
292C22×C3×C4—21no—
293C22×C3×C4—21no—
294C22×C3×C4—41no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C22×Dic3—21no—
298C22×Dic3—21no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×Dic6—21no—
305C2×Dic6—21no—
306C2×Dic6—21no—
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—44no—
310C2×Dic6—61no—
311C2×Dic6#6711yescharacteristic
312C2×Dic6C22×D311yescharacteristic
313C3×SD16—62no—
314C2×C3×C8—31no—
315C2×C3×C8—31no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C22⋊C4—21no—
330C3×C22⋊C4—21no—
331C3×C22⋊C4—41no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—21no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42—61no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—21no—
341#217—21no—
342#214—22no—
343#214—62no—
344#214—62no—
345#214—122no—
346#213—62no—
347#213—62no—
348#213—122no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—121no—
360(C2×D3)⋊C4—121no—
361C4⋊Dic3—21no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3#6711yescharacteristic
365C4⋊Dic3C22×D311yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368Dic3⋊C4—21no—
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4#6711yescharacteristic
376Dic3⋊C4#6711yescharacteristic
377C4×Dic3—21no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3C22×D311yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382C2×C3⋊C8—31no—
383C2×C3⋊C8—31no—
384C2×C3⋊C8—31no—
385C2×C3⋊C8—31no—
386C2×C3⋊C8—61no—
387C2×C3⋊C8—61no—
388C2×C3⋊C8C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C22×C32—22no—
391C22×C32—41no—
392C22×C32—41no—
393C22×C32C22×D411yescharacteristic
394C2×C3⋊D3—41no—
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C32×C4—21no—
398C32×C4—21no—
399C32×C4—41no—
400C32×C4C2×#4111yescharacteristic
401C32×C42−1+411yescharacteristic
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3—41no—
409C3×Dic3—41no—
410C3×Dic3AGL(1,ℤ/8)12yes—
411C22×Q8—61no—
412C2×SD16—31no—
413C2×SD16—91no—
414C2×D8—91no—
415C4⋊Q8—31no—
416C4⋊Q8—31no—
417C4⋊Q8—31no—
418C4⋊Q8—91no—
419#126—181no—
420#126—181no—
421#124—91no—
422#124—91no—
423C22⋊Q8—61no—
424C22⋊Q8—61no—
425C22⋊Q8—61no—
426C22⋊Q8—181no—
427C4×Q8—31no—
428C4×Q8—31no—
429C4×Q8—91no—
430C4×D4—31no—
431C4×D4—31no—
432C4×D4—91no—
433C4×D4D3211yescharacteristic
434#117—181no—
435#107—31no—
436#107—91no—
437#107—91no—
438C4⋊C8—91no—
439C4⋊C8—91no—
440C4⋊C8—91no—
441#103—31no—
442#103—91no—
443#103—91no—
444#103—91no—
445#103—91no—
446#103—91no—
447#102—31no—
448#102—91no—
449#102—91no—
450#102—91no—
451#97—31no—
452#97—91no—
453C4×C8—91no—
454C23×C3—21no—
455C23×C3—21no—
456C23×C3—41no—
457C22×D3—61no—
458C22×D3—61no—
459C22×D3—121no—
460C3×Q8—62no—
461C3×Q8—61no—
462C3×Q8—61no—
463C3×Q8—122no—
464C3×Q8—122no—
465C3×Q8—122no—
466C3×D4—21no—
467C3×D4—21no—
468C3×D4—22no—
469C3×D4—41no—
470C3×D4#23512yes—
471C3×D4#23912yes—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—42no—
483C2×C3×C4—42no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—82no—
489C2×C3×C4—122no—
490C2×C3×C4—122no—
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4D3×D411yescharacteristic
493C2×C3×C4C2×#6711yescharacteristic
494C2×C3×C4C2×#6711yescharacteristic
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—42no—
502C2×Dic3—42no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—121no—
506C2×Dic3C2×#6711yescharacteristic
507C2×Dic3C2×#6711yescharacteristic
508C2×Dic3C2×#6711yescharacteristic
509C2×Dic3C2×#6711yescharacteristic
510D12—61no—
511D12—61no—
512D12—61no—
513D12—61no—
514D12—121no—
515D12—121no—
516C4×D3—122no—
517C4×D3—122no—
518Dic6—22no—
519Dic6—21no—
520Dic6—21no—
521Dic6—42no—
522Dic6—42no—
523Dic6—42no—
524Dic6—61no—
525Dic6—61no—
526Dic6—61no—
527Dic6—61no—
528Dic6—121no—
529Dic6—121no—
530C3×C8—61no—
531C3×C8—61no—
532C3⋊C8—21no—
533C3⋊C8—21no—
534C3⋊C8—61no—
535C3⋊C8—61no—
536C3⋊C8—61no—
537C3⋊C8—61no—
538C3⋊C8—121no—
539C3⋊C8—121no—
540C2×C32—42no—
541C2×C32#54811yescharacteristic
542C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
543C2×C32#57811yescharacteristic
544C3⋊D3—81no—
545C2×Q8—31no—
546C2×Q8—31no—
547C2×Q8—61no—
548C2×Q8—61no—
549C2×Q8—61no—
550C2×Q8—91no—
551C2×Q8—124no—
552C2×D4—91no—
553C2×D4C2×D3211yescharacteristic
554C22×C4—21no—
555C22×C4—61no—
556C22×C4—61no—
557C22×C4—181no—
558SD16—62no—
559SD16—182no—
560D8—182no—
561C2×C8—31no—
562C2×C8—31no—
563C2×C8—91no—
564C2×C8—91no—
565C4⋊C4—31no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—31no—
569C4⋊C4—31no—
570C4⋊C4—31no—
571C4⋊C4—61no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—61no—
575C4⋊C4—181no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4C2×D3211yescharacteristic
579C22⋊C4—21no—
580C22⋊C4—61no—
581C22⋊C4—61no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C22⋊C4—181no—
585C22⋊C4—181no—
586C22⋊C4—181no—
587C42—31no—
588C42—31no—
589C42—61no—
590C42—181no—
591C42C2×D3211yescharacteristic
592C22×C3—22no—
593C22×C3—22no—
594C22×C3—21no—
595C22×C3—42no—
596C22×C3—41no—
597C22×C3—41no—
598C22×C3—41no—
599C22×C3—41no—
600C22×C3—81no—
601C22×C3—81no—
602C22×C3C2×D3×D411yescharacteristic
603C22×C3C22×#6711yescharacteristic
604C2×D3—121no—
605C2×D3—121no—
606C2×D3—121no—
607C2×D3—121no—
608C2×D3—121no—
609C2×D3—121no—
610C2×D3—241no—
611C2×D3—241no—
612C2×D3—241no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—21no—
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—32no—
620C3×C4—41no—
621C3×C4—41no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—61no—
625C3×C4—61no—
626C3×C4—61no—
627C3×C4—81no—
628C3×C4—121no—
629C3×C4—121no—
630C3×C4—121no—
631C3×C4—121no—
632C3×C4C2×#23511yescharacteristic
633C3×C4C2×#23911yescharacteristic
634C3×C4#100711yescharacteristic
635C3×C4#101011yescharacteristic
636Dic3—21no—
637Dic3—21no—
638Dic3—21no—
639Dic3—41no—
640Dic3—41no—
641Dic3—41no—
642Dic3—41no—
643Dic3—121no—
644Dic3—121no—
645Dic3—241no—
646Dic3#93212yes—
647C32#336711yescharacteristic, complemented, Sylow
648C23—21no—
649C23—181no—
650Q8—62no—
651Q8—61no—
652Q8—61no—
653Q8—122no—
654Q8—122no—
655Q8—122no—
656Q8—181no—
657Q8—181no—
658D4—21no—
659D4—181no—
660D4—181no—
661D4#379912yes—
662C2×C4—21no—
663C2×C4—31no—
664C2×C4—31no—
665C2×C4—31no—
666C2×C4—31no—
667C2×C4—42no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—181no—
675C2×C4—362no—
676C2×C4D3×#6711yescharacteristic
677C2×C4D3×#6711yescharacteristic
678C2×C4C22×D3211yescharacteristic
679C8—61no—
680C8—61no—
681C8—181no—
682C8—181no—
683C2×C3—21no—
684C2×C3—21no—
685C2×C3—21no—
686C2×C3—42no—
687C2×C3—42no—
688C2×C3—82no—
689C2×C3#555211yescharacteristic
690C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
691C2×C3#577911yescharacteristic
692C2×C3C2×#93211yescharacteristic
693C2×C3#581711yescharacteristic
694C2×C3#583811yescharacteristic
695D3—241no—
696D3—241no—
697D3—481no—
698C22—22no—
699C22—41no—
700C22—41no—
701C22—361no—
702C22—361no—
703C22—361no—
704C22C2×D3×#6711yescharacteristic
705C4—21no—
706C4—21no—
707C4—32no—
708C4—41no—
709C4—61no—
710C4—61no—
711C4—61no—
712C4—121no—
713C4—121no—
714C4—121no—
715C4—121no—
716C4—361no—
717C4#6429711yescharacteristic
718C4C2×#379911yescharacteristic
719C3—21no—
720C3#7975111yescharacteristic, complemented
721C3#8356311yescharacteristic, complemented
722C2—42no—
723C2—721no—
724C2#1059490211yescharacteristic
725C2D3×#93211yescharacteristic
726C2#1059546511yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC2×#3753C22
hypercenterC4×D4D32
hypocenterC32#3367
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. C3×D4×Dic6C2semidirect
2. #10593850C2semidirect
4. C3×#5018C2semidirect
5. #10591489C2semidirect
7. #10591405C2semidirect
9. #10590560C2semidirect
10. #10590535C2semidirect
11. #10590488C2semidirect
12. #10590464C2semidirect
13. #10590310C2semidirect
14. #10590294C2semidirect
15. #10590251C2semidirect
64. D4×Dic6D3semidirect
78. #5018D3semidirect
647. C32#3367semidirect
720. C3#79751semidirect
721. C3#83563semidirect

Maximal subgroups

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

subgroupindex
C3×D4×Dic62
#105938502
#105927152
C3×#50182
#105914892
#105914712
#105914052
#105914002
#105905602
#105905352
#105904882
#105904642
#105903102
#105902942
#105902512
#835633
#797513