Finite Group Databasebeta

← D3×#1652 #10771007

Subgroups — D3×#1652 #10771007

Order 768.

978 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D3×#556C211yesmaximal, characteristic
2D3×#498C211yesmaximal, characteristic, complemented
3D3×#474C211yesmaximal, characteristic
4D3×#462C211yesmaximal, characteristic, complemented
5C3×#1652C211yesmaximal, characteristic, complemented
6#71934C211yesmaximal, characteristic, complemented
7#71346C211yesmaximal, characteristic, complemented
8#71115C211yesmaximal, characteristic, complemented
9#71066C211yesmaximal, characteristic, complemented
10#68462C211yesmaximal, characteristic, complemented
11D3×#332C211yesmaximal, characteristic, complemented
12#68274C211yesmaximal, characteristic, complemented
13D3×Q8⋊C8C211yesmaximal, characteristic, complemented
14#68193C211yesmaximal, characteristic, complemented
15D3×D4⋊C8C211yesmaximal, characteristic
16C2×#1652—31nomaximal, Sylow
17C3×#556C2211yescharacteristic
18C2×D3×Q16—21no—
19#5732C2211yescharacteristic
20D3×C4⋊Q8C2211yescharacteristic
21D3×C4⋊Q8C2211yescharacteristic
22D3×#126—22no—
23#5702—22no—
24D3×#124—21no—
25#5671—21no—
26#5641—21no—
27D3×C22⋊Q8—21no—
28#5584C2211yescharacteristic
29C4×D3×Q8—21no—
30C4×D3×Q8C2211yescharacteristic
31#5568—21no—
32C4×D3×D4C2211yescharacteristic
33#5542C2211yescharacteristic
34#5533—21no—
35D3×#117—21no—
36C3×#498C2211yescharacteristic, complemented
37C3×#474C2211yescharacteristic
38C3×#462C2211yescharacteristic, complemented
39#5182—21no—
40#5090C2211yescharacteristic, complemented
41#5087C2211yescharacteristic
42#5080C2211yescharacteristic, complemented
43#5080C2211yescharacteristic, complemented
44#5031C2211yescharacteristic, complemented
45#5007C2211yescharacteristic
46#4890—21no—
47D3×#107—21no—
48D3×#106—22no—
49#4855—22no—
50#4849C2211yescharacteristic, complemented
51#4846C2211yescharacteristic
52D3×C4⋊C8C2211yescharacteristic
53D3×C4⋊C8C2211yescharacteristic
54D3×#103—21no—
55#4795—21no—
56D3×#102—21no—
57#4759—21no—
58C4×D3×C8C2211yescharacteristic
59#4680C2211yescharacteristic, complemented
60C3×#332C2211yescharacteristic, complemented
61C3×Q8⋊C8C2211yescharacteristic, complemented
62C3×D4⋊C8C2211yescharacteristic
63#4547C2211yescharacteristic, complemented
64#4535C2211yescharacteristic, complemented
65D4⋊(C3⋊C8)C2211yescharacteristic
66#4486C2211yescharacteristic, complemented
67#4484C2211yescharacteristic, complemented
68#4483C2211yescharacteristic
69#4482C2211yescharacteristic, complemented
70#4459C2211yescharacteristic
71#4456C2211yescharacteristic, complemented
72C2×#556—31no—
73C2×#498—31no—
74C2×#474—31no—
75C2×#462—31no—
76#1652—31no—
77#1652—31no—
78#1652—31no—
79#1652—31no—
80#1652—31no—
81#1652—31no—
82#1652—31no—
83#1652D311yescharacteristic, direct product factor
84C2×#332—31no—
85C2×Q8⋊C8—31no—
86C2×D4⋊C8—31no—
87C2×D3×Q8—21no—
88C2×D3×Q8—21no—
89C2×D3×Q8D411yescharacteristic
90C2×D3×D4D411yescharacteristic
91C22×C4×D3—21no—
92C2×C3×Q16—21no—
93C3×C4⋊Q8C2311yescharacteristic
94C3×C4⋊Q8C2311yescharacteristic
95C3×#126—22no—
96C3×#124—21no—
97C3×C22⋊Q8—21no—
98C3×C4×Q8—21no—
99C3×C4×Q8C2311yescharacteristic
100C3×C4×D4C2311yescharacteristic
101C3×#117—21no—
102#947—21no—
103#946—21no—
104Q8×Dic3—21no—
105Q8×Dic3D411yescharacteristic
106#944—21no—
107#944—21no—
108C2×#216—21no—
109C2×#216—21no—
110#936—21no—
111D4×Dic3D411yescharacteristic
112C4×#67—21no—
113#926—21no—
114#924—21no—
115D3×Q16—44no—
116C2×Dic12—21no—
117C2×D3×C8—21no—
118C2×D3×C8—21no—
119C2×D3×C8—21no—
120#898—22no—
121#898—22no—
122#898—22no—
123#897—21no—
124#896—22no—
125#893D411yescharacteristic
126#892—21no—
127#892—21no—
128D3×C4⋊C4—22no—
129D3×C4⋊C4—21no—
130D3×C4⋊C4—21no—
131D3×C4⋊C4—21no—
132D3×C4⋊C4—21no—
133D3×C4⋊C4D411yescharacteristic
134D3×C4⋊C4D412yes—
135D3×C4⋊C4D411yescharacteristic
136#888—21no—
137#888—21no—
138#888—21no—
139#888D412yes—
140#887—22no—
141#887—21no—
142#887—21no—
143#887D411yescharacteristic
144#885—22no—
145#885—22no—
146#67⋊C4—21no—
147D3×C22⋊C4—22no—
148D3×C22⋊C4—22no—
149D3×C22⋊C4—21no—
150#879—22no—
151#879—22no—
152#879—22no—
153#878—22no—
154#877—22no—
155#876—22no—
156#875—21no—
157C4×D12C2311yescharacteristic
158#872—22no—
159C42×D3—22no—
160C42×D3—21no—
161C42×D3C2311yescharacteristic
162#869C2311yescharacteristic
163#869C2311yescharacteristic
164C4×Dic6—22no—
165C4×Dic6—21no—
166C4×Dic6—21no—
167C4×Dic6C2311yescharacteristic
168C3×#107—21no—
169C3×#106—22no—
170C3×C4⋊C8C2311yescharacteristic
171C3×C4⋊C8C2311yescharacteristic
172C3×#103—21no—
173C3×#102—21no—
174C3×C4×C8C2311yescharacteristic
175#835—21no—
176#832—21no—
177#821—21no—
178#818—21no—
179#817—22no—
180#816—21no—
181Dic3⋊C8—21no—
182Dic3⋊C8—21no—
183C8×Dic3—21no—
184#810—21no—
185#809—21no—
186#808—22no—
187#808—22no—
188#807—21no—
189#807—21no—
190C4⋊(C3⋊C8)C2311yescharacteristic
191C4⋊(C3⋊C8)C2311yescharacteristic
192C4×C3⋊C8C2311yescharacteristic
193C22×Q16—61no—
194#556—31no—
195#556—31no—
196#556—31no—
197#556—61no—
198#556—61no—
199#556—61no—
200#556—61no—
201#556—62no—
202#556C2×D311yescharacteristic
203C2×C4⋊Q8—31no—
204C2×C4⋊Q8—31no—
205C2×#126—62no—
206C2×#124—61no—
207C2×C22⋊Q8—61no—
208C2×C4×Q8—31no—
209C2×C4×Q8—61no—
210C2×C4×D4—31no—
211C2×#117—61no—
212#498—31no—
213#498—31no—
214#498—31no—
215#498—62no—
216#498C2×D311yescharacteristic, complemented
217#474—31no—
218#474—31no—
219#474—31no—
220#474—61no—
221#474—61no—
222#474C2×D311yescharacteristic
223#462—31no—
224#462—31no—
225#462—31no—
226#462—61no—
227#462—61no—
228#462C2×D311yescharacteristic, complemented
229C2×#107—61no—
230C2×#106—62no—
231C2×C4⋊C8—31no—
232C2×C4⋊C8—31no—
233C2×#103—61no—
234C2×#102—61no—
235C2×C4×C8—31no—
236#332—31no—
237#332—31no—
238#332—31no—
239#332C2×D311yescharacteristic, complemented
240Q8⋊C8—31no—
241Q8⋊C8—31no—
242Q8⋊C8—31no—
243Q8⋊C8C2×D311yescharacteristic, complemented
244D4⋊C8—31no—
245D4⋊C8—31no—
246D4⋊C8—31no—
247D4⋊C8C2×D311yescharacteristic
248C23×D3—21no—
249C2×C3×Q8—21no—
250C2×C3×Q8—21no—
251C2×C3×Q8C2×D411yescharacteristic
252C2×C3×D4C2×D411yescharacteristic
253C22×C3×C4—21no—
254C2×#67—21no—
255C22×Dic3—21no—
256D3×Q8—22no—
257D3×Q8—22no—
258D3×Q8—42no—
259D3×Q8—42no—
260D3×Q8—42no—
261D3×Q8—42no—
262D3×D4—22no—
263D3×D4—22no—
264C2×D12C2×D411yescharacteristic
265C2×C4×D3—21no—
266C2×C4×D3—21no—
267C2×C4×D3—21no—
268C2×C4×D3—22no—
269C2×C4×D3—21no—
270C2×C4×D3—21no—
271C2×C4×D3—42no—
272C2×C4×D3—42no—
273C2×C4×D3—41no—
274C2×C4×D3C2×D411yescharacteristic
275C2×C4×D3C2×D411yescharacteristic
276C2×C4×D3C2×D411yescharacteristic
277C2×Dic6—21no—
278C2×Dic6—21no—
279C2×Dic6—22no—
280C2×Dic6—21no—
281C2×Dic6—41no—
282C2×Dic6C2×D411yescharacteristic
283C3×Q16—42no—
284C2×C3×C8—21no—
285C2×C3×C8—21no—
286C2×C3×C8—21no—
287C3×C4⋊C4—22no—
288C3×C4⋊C4—21no—
289C3×C4⋊C4—21no—
290C3×C4⋊C4—21no—
291C3×C4⋊C4—21no—
292C3×C4⋊C4C2×D411yescharacteristic
293C3×C4⋊C4C2×D412yes—
294C3×C4⋊C4C2×D411yescharacteristic
295C3×C22⋊C4—22no—
296C3×C22⋊C4—22no—
297C3×C22⋊C4—21no—
298C3×C42—22no—
299C3×C42—21no—
300C3×C42C2411yescharacteristic
301#217—22no—
302#217—22no—
303#217—21no—
304#216—42no—
305#216—42no—
306(C2×D3)⋊C4—22no—
307(C2×D3)⋊C4—22no—
308(C2×D3)⋊C4—22no—
309(C2×D3)⋊C4—22no—
310(C2×D3)⋊C4—21no—
311(C2×D3)⋊C4—21no—
312C4⋊Dic3—22no—
313C4⋊Dic3—21no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316C4⋊Dic3—21no—
317C4⋊Dic3C2×D411yescharacteristic
318C4⋊Dic3C2×D412yes—
319C4⋊Dic3C2×D411yescharacteristic
320Dic3⋊C4—22no—
321Dic3⋊C4—22no—
322Dic3⋊C4—21no—
323Dic3⋊C4—21no—
324Dic3⋊C4—21no—
325Dic3⋊C4—21no—
326Dic3⋊C4—22no—
327Dic3⋊C4—22no—
328Dic3⋊C4—41no—
329Dic3⋊C4—41no—
330C4×Dic3—22no—
331C4×Dic3—22no—
332C4×Dic3—22no—
333C4×Dic3—21no—
334C4×Dic3—21no—
335C4×Dic3—21no—
336C4×Dic3C2×D411yescharacteristic
337C4×Dic3C2×D411yescharacteristic
338C4×Dic3C2×D411yescharacteristic
339C2×C3⋊C8—21no—
340C2×C3⋊C8—21no—
341C2×C3⋊C8—21no—
342Dic12—42no—
343D3×C8—24no—
344D3×C8—42no—
345D3×C8—42no—
346C22×Q8—31no—
347C22×Q8—61no—
348C22×Q8—61no—
349C22×D4—31no—
350C23×C4—61no—
351C2×Q16—21no—
352C2×Q16—61no—
353C2×Q16—61no—
354C2×Q16—61no—
355C2×Q16—124no—
356C22×C8—61no—
357C22×C8—61no—
358C22×C8—61no—
359C4⋊Q8—32no—
360C4⋊Q8—31no—
361C4⋊Q8—31no—
362C4⋊Q8—61no—
363C4⋊Q8—61no—
364C4⋊Q8—61no—
365C4⋊Q8—61no—
366C4⋊Q8—61no—
367C4⋊Q8C22×D311yescharacteristic
368C4⋊Q8C22×D311yescharacteristic
369#126—22no—
370#126—62no—
371#126—62no—
372#126—62no—
373#126—62no—
374#126—62no—
375#126—62no—
376#126—62no—
377#124—21no—
378#124—61no—
379#124—62no—
380#124—62no—
381#124—61no—
382#124—61no—
383C22⋊Q8—21no—
384C22⋊Q8—62no—
385C22⋊Q8—61no—
386C22⋊Q8—62no—
387C22⋊Q8—61no—
388C22⋊Q8—61no—
389C4×Q8—21no—
390C4×Q8—31no—
391C4×Q8—31no—
392C4×Q8—31no—
393C4×Q8—61no—
394C4×Q8—61no—
395C4×Q8—62no—
396C4×Q8—61no—
397C4×Q8—62no—
398C4×Q8—61no—
399C4×Q8—61no—
400C4×Q8C22×D311yescharacteristic
401C4×D4—31no—
402C4×D4—31no—
403C4×D4—31no—
404C4×D4—61no—
405C4×D4—61no—
406C4×D4C22×D311yescharacteristic
407#117—21no—
408#117—62no—
409#117—62no—
410#117—61no—
411#117—61no—
412#117—61no—
413C2×C4⋊C4—31no—
414C2×C4⋊C4—31no—
415C2×C4⋊C4—32no—
416C2×C4⋊C4—61no—
417C2×C4⋊C4—61no—
418C2×C4⋊C4—62no—
419C2×C4⋊C4—61no—
420C2×C4⋊C4—61no—
421C2×C22⋊C4—61no—
422C2×C22⋊C4—62no—
423C2×C22⋊C4—62no—
424C2×C42—31no—
425C2×C42—61no—
426C2×C42—62no—
427#107—21no—
428#107—61no—
429#107—61no—
430#107—61no—
431#106—22no—
432#106—62no—
433#106—62no—
434#106—62no—
435C4⋊C8—31no—
436C4⋊C8—31no—
437C4⋊C8—61no—
438C4⋊C8—61no—
439C4⋊C8C22×D311yescharacteristic
440C4⋊C8C22×D311yescharacteristic
441#103—21no—
442#103—61no—
443#103—61no—
444#103—61no—
445#102—21no—
446#102—61no—
447#102—61no—
448#102—61no—
449C4×C8—31no—
450C4×C8—61no—
451C4×C8C22×D311yescharacteristic
452C23×C3—21no—
453C22×D3—21no—
454C22×D3—42no—
455C22×D3—42no—
456C22×D3—42no—
457C22×D3#12011yescharacteristic
458C3×Q8—21no—
459C3×Q8—21no—
460C3×Q8—41no—
461C3×Q8—41no—
462C3×Q8—41no—
463C3×Q8—41no—
464C3×D4—21no—
465C3×D4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—21no—
468C2×C3×C4—21no—
469C2×C3×C4—22no—
470C2×C3×C4—41no—
471C2×C3×C4—41no—
472C2×C3×C4—41no—
473C2×C3×C4C22×D411yescharacteristic
474C2×C3×C4C22×D411yescharacteristic
475C2×C3×C4C22×D411yescharacteristic
476#67—42no—
477C2×Dic3—21no—
478C2×Dic3—21no—
479C2×Dic3—21no—
480C2×Dic3—22no—
481C2×Dic3—42no—
482C2×Dic3—41no—
483C2×Dic3#12011yescharacteristic
484C2×Dic3#12011yescharacteristic
485C2×Dic3#12011yescharacteristic
486D12—21no—
487D12—21no—
488C4×D3—22no—
489C4×D3—42no—
490C4×D3—42no—
491C4×D3—44no—
492C4×D3—42no—
493C4×D3—41no—
494C4×D3—41no—
495C4×D3—42no—
496C4×D3—82no—
497C4×D3#13512yes—
498C4×D3#13512yes—
499C4×D3AGL(1,ℤ/8)12yes—
500C4×D3#13712yes—
501Dic6—21no—
502Dic6—21no—
503Dic6—41no—
504Dic6—41no—
505Dic6—42no—
506Dic6—44no—
507Dic6—41no—
508Dic6—41no—
509Dic6—82no—
510C3×C8—22no—
511C3×C8—41no—
512C3×C8—41no—
513C3⋊C8—22no—
514C3⋊C8—41no—
515C3⋊C8—41no—
516C24—61no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—31no—
520C2×Q8—61no—
521C2×Q8—62no—
522C2×Q8—62no—
523C2×Q8—62no—
524C2×Q8—61no—
525C2×Q8—61no—
526C2×Q8—121no—
527C2×Q8—122no—
528C2×Q8—122no—
529C2×Q8—122no—
530C2×Q8—122no—
531C2×Q8D3×D411yescharacteristic
532C2×D4—31no—
533C2×D4—62no—
534C2×D4—62no—
535C2×D4—61no—
536C2×D4D3×D411yescharacteristic
537C22×C4—21no—
538C22×C4—31no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—61no—
542C22×C4—61no—
543C22×C4—61no—
544C22×C4—62no—
545C22×C4—61no—
546C22×C4—61no—
547C22×C4—61no—
548C22×C4—122no—
549C22×C4—122no—
550C22×C4—121no—
551Q16—42no—
552Q16—122no—
553Q16—122no—
554Q16—122no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—64no—
559C2×C8—61no—
560C2×C8—61no—
561C2×C8—61no—
562C2×C8—122no—
563C2×C8—122no—
564C4⋊C4—22no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—31no—
570C4⋊C4—32no—
571C4⋊C4—31no—
572C4⋊C4—61no—
573C4⋊C4—61no—
574C4⋊C4—62no—
575C4⋊C4—62no—
576C4⋊C4—61no—
577C4⋊C4—61no—
578C4⋊C4—62no—
579C4⋊C4—62no—
580C4⋊C4—62no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—121no—
586C4⋊C4—121no—
587C4⋊C4D3×D411yescharacteristic
588C4⋊C4D3×D412yes—
589C4⋊C4D3×D411yescharacteristic
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—21no—
593C22⋊C4—61no—
594C22⋊C4—62no—
595C22⋊C4—62no—
596C22⋊C4—62no—
597C22⋊C4—62no—
598C22⋊C4—61no—
599C22⋊C4—62no—
600C22⋊C4—62no—
601C22⋊C4—61no—
602C42—22no—
603C42—21no—
604C42—31no—
605C42—31no—
606C42—31no—
607C42—61no—
608C42—61no—
609C42—62no—
610C42—62no—
611C42—62no—
612C42—61no—
613C42C23×D311yescharacteristic
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3C2×#12011yescharacteristic
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—84no—
622C2×D3#44912yes—
623C2×D3#45212yes—
624C2×D3#45612yes—
625C3×C4—21no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—42no—
629C3×C4—41no—
630C3×C4—81no—
631C3×C4C2×#13511yescharacteristic
632C3×C4C2×#13511yescharacteristic
633C3×C4C2×AGL(1,ℤ/8)11yescharacteristic
634C3×C4C2×#13711yescharacteristic
635Dic3—21no—
636Dic3—41no—
637Dic3—41no—
638Dic3—42no—
639Dic3—41no—
640Dic3—81no—
641Dic3#44912yes—
642Dic3#45212yes—
643C23—21no—
644C23—31no—
645C23—61no—
646C23—122no—
647C23—122no—
648C23—122no—
649Q8—21no—
650Q8—21no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—41no—
655Q8—61no—
656Q8—61no—
657Q8—122no—
658Q8—124no—
659Q8—121no—
660Q8—121no—
661Q8—121no—
662Q8—121no—
663Q8—242no—
664D4—21no—
665D4—21no—
666D4—61no—
667D4—61no—
668D4—122no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—22no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—32no—
676C2×C4—32no—
677C2×C4—32no—
678C2×C4—32no—
679C2×C4—31no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—62no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—62no—
687C2×C4—61no—
688C2×C4—122no—
689C2×C4—122no—
690C2×C4—122no—
691C2×C4—122no—
692C2×C4—124no—
693C2×C4—122no—
694C2×C4—121no—
695C2×C4—121no—
696C2×C4—121no—
697C2×C4—242no—
698C2×C4C2×D3×D411yescharacteristic
699C2×C4C2×D3×D411yescharacteristic
700C2×C4C2×D3×D411yescharacteristic
701C8—22no—
702C8—41no—
703C8—41no—
704C8—62no—
705C8—121no—
706C8—121no—
707C2×C3—81no—
708C2×C3C2×#44911yescharacteristic
709C2×C3C2×#45211yescharacteristic
710C2×C3C2×#45611yescharacteristic
711D3—81no—
712D3#165214yesdirect product factor
713C22—32no—
714C22—32no—
715C22—32no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22—244no—
723C22D3×#12011yescharacteristic
724C4—21no—
725C4—32no—
726C4—32no—
727C4—42no—
728C4—41no—
729C4—41no—
730C4—41no—
731C4—61no—
732C4—81no—
733C4—122no—
734C4—121no—
735C4—121no—
736C4—121no—
737C4—241no—
738C4D3×#13511yescharacteristic
739C4D3×#13511yescharacteristic
740C4D3×AGL(1,ℤ/8)11yescharacteristic
741C4D3×#13711yescharacteristic
742C3C2×#165211yescharacteristic, complemented, Sylow
743C2—34no—
744C2—81no—
745C2—241no—
746C2D3×#44911yescharacteristic
747C2D3×#45211yescharacteristic
748C2D3×#45611yescharacteristic
subgroupG/H
centerC22D3×#120
commutator, cosocleC3×C42C24
FrattiniC42C23×D3
FittingC3×#1652C2
socleC22×C3C2×#120
prime radicalC2×D3×D4D4
hypercenter#1652D3
hypocenterC3C2×#1652
LCSG ▷ C3×C42 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C42 ◁ #1652

Complements

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

NH ≅ G/Ntype
2. D3×#498C2semidirect
4. D3×#462C2semidirect
5. C3×#1652C2semidirect
6. #71934C2semidirect
7. #71346C2semidirect
8. #71115C2semidirect
9. #71066C2semidirect
10. #68462C2semidirect
11. D3×#332C2semidirect
12. #68274C2semidirect
13. D3×Q8⋊C8C2semidirect
14. #68193C2semidirect
36. C3×#498C22semidirect
38. C3×#462C22semidirect
40. #5090C22semidirect
42. #5080C22semidirect
43. #5080C22semidirect
44. #5031C22semidirect
50. #4849C22semidirect
59. #4680C22semidirect
60. C3×#332C22semidirect
61. C3×Q8⋊C8C22semidirect
63. #4547C22semidirect
64. #4535C22semidirect
66. #4486C22semidirect
67. #4484C22semidirect
69. #4482C22semidirect
71. #4456C22semidirect
83. #1652D3direct (N × H)
216. #498C2×D3semidirect
228. #462C2×D3semidirect
239. #332C2×D3semidirect
243. Q8⋊C8C2×D3semidirect
712. D3#1652direct (N × H)
742. C3C2×#1652semidirect

Maximal subgroups

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

subgroupindex
D3×#5562
D3×#4982
D3×#4742
D3×#4622
C3×#16522
#719342
#713462
#711152
#710662
#684622
D3×#3322
#682742
D3×Q8⋊C82
#681932
D3×D4⋊C82
C2×#16523