Finite Group Databasebeta

← #10944003

Subgroups — #10944003

Order 768.

1868 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D3×D4C211yesmaximal, characteristic
2C2×C3×#461C211yesmaximal, characteristic, complemented
3C2×#5169C212yesmaximal
4#83269C211yesmaximal, characteristic, complemented
5C2×#5083C211yesmaximal, characteristic, complemented
6#72047C212yesmaximal, complemented
7#71604C211yesmaximal, characteristic, complemented
8#70479C211yesmaximal, characteristic, complemented
9#70475C211yesmaximal, characteristic, complemented
10#70276C212yesmaximal, complemented
11#70268C212yesmaximal, complemented
12#32905—31nomaximal, Sylow
13C22×D3×D4C2211yescharacteristic
14C23×C4×D3—21no—
15C22×C3×SD16C2212yes—
16C2×C3×C4⋊Q8C2211yescharacteristic, complemented
17C2×C3×C4×D4C2211yescharacteristic
18C2×#946C2212yes—
19C22×#215C2212yes—
20C2×D4×Dic3C2211yescharacteristic
21C2×C4×#67—21no—
22C4×D3×D4—24no—
23C4×D3×D4—24no—
24C2×#893C2211yescharacteristic
25C2×D3×C4⋊C4C2211yescharacteristic
26C2×#67⋊C4—21no—
27C2×D3×C22⋊C4—21no—
28C2×C4×D12C2211yescharacteristic
29C2×C42×D3C2211yescharacteristic
30C3×#461—24no—
31C2×C3×C4⋊C8C2211yescharacteristic, complemented
32C2×C3×#103C2212yescomplemented
33#5229C2212yescomplemented
34C2×#835C2212yescomplemented
35C2×#832C2212yes—
36#5169—28no—
37C2×#821C2212yes—
38C2×(C2×D3)⋊C8C2212yes—
39#5083—24no—
40#4987—21no—
41#4987—21no—
42#4972—21no—
43#4972—21no—
44#4935C2211yescharacteristic, complemented
45C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
46#4551C2212yescomplemented
47#4550C2212yescomplemented
48#4529C2212yescomplemented
49C22×C4×D4—31no—
50C2×#461—31no—
51C2×#461D311yescharacteristic, complemented
52C2×#450—32no—
53#2857—31no—
54#1877—32no—
55#1877—32no—
56#1872—32no—
57#1802—31no—
58#1802—31no—
59#1797—31no—
60C24×D3—21no—
61C22×C3×Q8C2312yes—
62C22×C3×D4C2311yescharacteristic
63C23×C3×C4—21no—
64C22×#67—21no—
65C23×Dic3—21no—
66C2×D3×D4—22no—
67C2×D3×D4—22no—
68C2×D3×D4—22no—
69C2×D3×D4—22no—
70C2×D3×D4—22no—
71C2×D3×D4D414yes—
72C22×D12C2311yescharacteristic
73C22×C4×D3—28no—
74C22×C4×D3—21no—
75C22×C4×D3—21no—
76C22×C4×D3—21no—
77C22×C4×D3—44no—
78C22×C4×D3—44no—
79C22×C4×D3D411yescharacteristic
80C22×C4×D3D411yescharacteristic
81C22×C4×D3C2311yescharacteristic
82C2×C3×SD16—24no—
83C2×C3×SD16—24no—
84C2×C3×SD16—24no—
85C22×C3×C8C2312yes—
86C3×C4⋊Q8—22no—
87C3×C4⋊Q8—22no—
88C3×C4×D4—22no—
89C3×C4×D4D414yes—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C22⋊C4—21no—
94C2×C3×C42C2311yescharacteristic
95C2×#217—21no—
96#946—24no—
97#946—24no—
98C2×#215—24no—
99C2×#215—24no—
100C2×#215—24no—
101D4×Dic3—22no—
102D4×Dic3—22no—
103C4×#67—28no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—22no—
107C2×C4⋊Dic3—21no—
108C2×C4⋊Dic3—21no—
109C2×C4⋊Dic3C2312yes—
110C2×C4⋊Dic3C2311yescharacteristic
111C2×Dic3⋊C4—21no—
112C2×Dic3⋊C4—22no—
113C2×C4×Dic3D411yescharacteristic
114C2×C4×Dic3D411yescharacteristic
115C2×C4×Dic3C2311yescharacteristic
116C22×C3⋊C8C2312yes—
117#893—22no—
118#893—22no—
119D3×C4⋊C4—22no—
120D3×C4⋊C4—22no—
121#67⋊C4—28no—
122D3×C22⋊C4—28no—
123C4×D12—22no—
124C4×D12D414yes—
125C42×D3—22no—
126C42×D3—22no—
127C3×C4⋊C8—22no—
128C3×#103—24no—
129#835—24no—
130#832—24no—
131C3⋊#95—22no—
132C3⋊#95—22no—
133#821—24no—
134(C2×D3)⋊C8—24no—
135C4⋊(C3⋊C8)—22no—
136C23×D4—31no—
137C24×C4—61no—
138C22×SD16—32no—
139C22×SD16C2×D312yes—
140C2×C4⋊Q8C2×D311yescharacteristic, complemented
141C2×C22⋊Q8—32no—
142C2×C4×D4—31no—
143C2×C4×D4—31no—
144C2×C4×D4—31no—
145C2×C4×D4—61no—
146C2×C4×D4—61no—
147C2×C4×D4—64no—
148C2×C4×D4—64no—
149C2×C4×D4C2×D311yescharacteristic
150C22×C4⋊C4—31no—
151C22×C22⋊C4—61no—
152C22×C42—31no—
153#461—24no—
154#461—64no—
155#450—68no—
156C2×C4⋊C8—31no—
157C2×C4⋊C8C2×D311yescharacteristic, complemented
158C2×#103—32no—
159C2×#103C2×D312yescomplemented
160C2×#102—32no—
161C2×#102—32no—
162C2×C22⋊C8—32no—
163#391—32no—
164#389—61no—
165#389—61no—
166#384—31no—
167#380—61no—
168#380—61no—
169#340—32no—
170#340—32no—
171#336—32no—
172C24×C3—21no—
173C23×D3—24no—
174C23×D3—24no—
175C23×D3—21no—
176C23×D3—24no—
177C23×D3—42no—
178C23×D3—42no—
179C23×D3—42no—
180C23×D3—42no—
181C23×D3C2×D411yescharacteristic
182C2×C3×Q8—22no—
183C2×C3×Q8—22no—
184C2×C3×Q8—22no—
185C2×C3×Q8—22no—
186C2×C3×Q8—22no—
187C2×C3×Q8—22no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4C2×D412yes—
192C2×C3×D4C2×D412yes—
193C2×C3×D4#4112yes—
194C22×C3×C4—21no—
195C22×C3×C4—24no—
196C22×C3×C4—22no—
197C22×C3×C4—42no—
198C22×C3×C4—42no—
199C22×C3×C4C2×D411yescharacteristic
200C22×C3×C4C2×D411yescharacteristic
201C22×C3×C4C2411yescharacteristic
202C2×#67—24no—
203C2×#67—24no—
204C2×#67—24no—
205C22×Dic3—24no—
206C22×Dic3—21no—
207C22×Dic3—22no—
208C22×Dic3—42no—
209C22×Dic3—42no—
210C22×Dic3C2×D411yescharacteristic
211C22×Dic3C2×D411yescharacteristic
212C22×Dic3C2×D411yescharacteristic
213D3×D4—28no—
214D3×D4—28no—
215D3×D4—28no—
216D3×D4—28no—
217C2×D12—21no—
218C2×D12—21no—
219C2×D12—21no—
220C2×D12C2×D412yes—
221C2×D12C2×D412yes—
222C2×D12#4112yes—
223C2×C4×D3—22no—
224C2×C4×D3—22no—
225C2×C4×D3—21no—
226C2×C4×D3—21no—
227C2×C4×D3—21no—
228C2×C4×D3—21no—
229C2×C4×D3—24no—
230C2×C4×D3—24no—
231C2×C4×D3—22no—
232C2×C4×D3—22no—
233C2×C4×D3—24no—
234C2×C4×D3—432no—
235C2×C4×D3—41no—
236C2×C4×D3—42no—
237C2×C4×D3—42no—
238C2×C4×D3—42no—
239C2×C4×D3—42no—
240C2×C4×D3—42no—
241C2×C4×D3—42no—
242C2×C4×D3SD1614yescomplemented
243C2×C4×D3C2×D412yes—
244C2×C4×D3#4112yes—
245C3×SD16—48no—
246C2×C3×C8—22no—
247C2×C3×C8—22no—
248C2×C3×C8—22no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4C2×D412yes—
253C3×C22⋊C4—24no—
254C3×C42C2×D412yes—
255C3×C42C2×D412yes—
256#217—24no—
257#215—48no—
258(C2×D3)⋊C4—24no—
259(C2×D3)⋊C4—24no—
260(C2×D3)⋊C4—44no—
261C4⋊Dic3—21no—
262C4⋊Dic3—22no—
263C4⋊Dic3—22no—
264C4⋊Dic3—42no—
265C4⋊Dic3—42no—
266C4⋊Dic3C2×D412yes—
267Dic3⋊C4—24no—
268Dic3⋊C4—44no—
269C4×Dic3—22no—
270C4×Dic3—22no—
271C4×Dic3—21no—
272C4×Dic3—21no—
273C2×C3⋊C8—22no—
274C2×C3⋊C8—22no—
275C2×C3⋊C8—22no—
276C25—61no—
277C22×Q8C22×D312yes—
278C22×D4—34no—
279C22×D4—31no—
280C22×D4—62no—
281C22×D4—61no—
282C22×D4—62no—
283C22×D4—62no—
284C22×D4—62no—
285C22×D4—62no—
286C22×D4C22×D311yescharacteristic
287C23×C4—21no—
288C23×C4—31no—
289C23×C4—31no—
290C23×C4—31no—
291C23×C4—61no—
292C23×C4—61no—
293C23×C4—68no—
294C23×C4—61no—
295C23×C4—61no—
296C23×C4—124no—
297C23×C4—124no—
298C2×SD16—24no—
299C2×SD16—24no—
300C2×SD16—24no—
301C2×SD16—64no—
302C2×SD16—64no—
303C2×SD16—64no—
304C22×C8—32no—
305C22×C8C22×D312yes—
306C4⋊Q8—22no—
307C4⋊Q8—22no—
308C22⋊Q8—64no—
309C22⋊Q8—64no—
310C4×D4—22no—
311C4×D4—34no—
312C4×D4—68no—
313C4×D4—62no—
314C4×D4—62no—
315C4×D4—68no—
316C4×D4—62no—
317C4×D4—62no—
318C4×D4—62no—
319C4×D4#6714yes—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—32no—
324C2×C4⋊C4—62no—
325C2×C4⋊C4—61no—
326C2×C4⋊C4—62no—
327C2×C4⋊C4—62no—
328C2×C4⋊C4—61no—
329C2×C4⋊C4—61no—
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C22⋊C4—21no—
332C2×C22⋊C4—68no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C22⋊C4—61no—
336C2×C22⋊C4—62no—
337C2×C42—31no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—62no—
341C2×C42—62no—
342C2×C42C22×D311yescharacteristic
343C4⋊C8—22no—
344C4⋊C8—62no—
345#103—24no—
346#103—64no—
347#102—64no—
348#102—64no—
349C22⋊C8—64no—
350#95—62no—
351#95—62no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—22no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3C22×D411yescharacteristic
360C22×D3—21no—
361C22×D3—21no—
362C22×D3—21no—
363C22×D3—21no—
364C22×D3—216no—
365C22×D3—22no—
366C22×D3—22no—
367C22×D3—22no—
368C22×D3—48no—
369C22×D3—48no—
370C22×D3—48no—
371C22×D3—48no—
372C22×D3—48no—
373C22×D3—41no—
374C22×D3—41no—
375C22×D3—41no—
376C22×D3—41no—
377C22×D3—48no—
378C22×D3#12112yes—
379C22×D3C2×SD1612yes—
380C22×D3#13712yes—
381C3×Q8—42no—
382C3×Q8—42no—
383C3×Q8—42no—
384C3×Q8—42no—
385C3×D4—22no—
386C3×D4—22no—
387C3×D4—22no—
388C3×D4#12114yes—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—22no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—48no—
395C2×C3×C4—42no—
396C2×C3×C4—42no—
397C2×C3×C4—42no—
398C2×C3×C4#12012yes—
399C2×C3×C4#12012yes—
400C2×C3×C4C2×SD1612yes—
401C2×C3×C4AGL(1,ℤ/8)12yes—
402C2×C3×C4C22×D411yescharacteristic
403C2×C3×C4C22×D411yescharacteristic
404C2×C3×C4C22×D411yescharacteristic
405C2×C3×C4C2×#4111yescharacteristic
406C2×C3×C4C2×#4111yescharacteristic
407C2×C3×C4C2×#4111yescharacteristic
408#67—216no—
409C2×Dic3—21no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—22no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—48no—
418C2×Dic3—41no—
419C2×Dic3—41no—
420C2×Dic3—42no—
421C2×Dic3—42no—
422C2×Dic3—42no—
423C2×Dic3#12112yes—
424C2×Dic3C2×SD1612yes—
425D12—22no—
426D12—22no—
427D12—22no—
428D12#12114yes—
429C4×D3—22no—
430C4×D3—22no—
431C4×D3—22no—
432C4×D3—22no—
433C4×D3—28no—
434C4×D3—48no—
435C4×D3—44no—
436C4×D3—48no—
437C4×D3—48no—
438C3×C8—42no—
439C3⋊C8—42no—
440C24—21no—
441C24—31no—
442C24—64no—
443C24—64no—
444C24—64no—
445C24—61no—
446C24—122no—
447C24—122no—
448C24—122no—
449C24—122no—
450C2×Q8—22no—
451C2×Q8—22no—
452C2×Q8—22no—
453C2×Q8—22no—
454C2×Q8—22no—
455C2×Q8—22no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—32no—
460C2×D4—32no—
461C2×D4—32no—
462C2×D4—64no—
463C2×D4—68no—
464C2×D4—68no—
465C2×D4—68no—
466C2×D4—64no—
467C2×D4—64no—
468C2×D4—68no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4D3×D412yes—
473C2×D4#23712yes—
474C2×D4C2×#6712yes—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—31no—
479C22×C4—31no—
480C22×C4—34no—
481C22×C4—32no—
482C22×C4—32no—
483C22×C4—31no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—62no—
487C22×C4—64no—
488C22×C4—64no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—64no—
496C22×C4—61no—
497C22×C4—62no—
498C22×C4—64no—
499C22×C4—62no—
500C22×C4—121no—
501C22×C4—122no—
502C22×C4—122no—
503C22×C4—122no—
504C22×C4—1232no—
505C22×C4—122no—
506C22×C4—122no—
507C22×C4—122no—
508C22×C4—122no—
509C22×C4—122no—
510C22×C4D3×D411yescharacteristic
511C22×C4D3×D411yescharacteristic
512C22×C4C23×D311yescharacteristic
513SD16—48no—
514SD16—128no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—62no—
519C2×C8—62no—
520C2×C8—62no—
521C4⋊C4—21no—
522C4⋊C4—32no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—64no—
526C4⋊C4—61no—
527C4⋊C4—62no—
528C4⋊C4—62no—
529C4⋊C4—122no—
530C4⋊C4—124no—
531C4⋊C4—122no—
532C4⋊C4C2×#6712yes—
533C22⋊C4—24no—
534C22⋊C4—64no—
535C22⋊C4—64no—
536C22⋊C4—64no—
537C22⋊C4—124no—
538C42—62no—
539C42—62no—
540C42—61no—
541C42—61no—
542C42D3×D412yes—
543C42C2×#6712yes—
544C22×C3—24no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3C2×#12011yescharacteristic
552C22×C3C2×#12111yescharacteristic
553C22×C3#52511yescharacteristic
554C22×C3C22×SD1611yescharacteristic
555C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
556C22×C3C2×#13711yescharacteristic
557C22×C3#57511yescharacteristic
558C2×D3—22no—
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—24no—
565C2×D3—432no—
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—42no—
570C2×D3—42no—
571C2×D3—42no—
572C2×D3#46114yescomplemented
573C3×C4—22no—
574C3×C4—42no—
575C3×C4—82no—
576C3×C4#45014yescomplemented
577C3×C4C2×#12111yescharacteristic
578C3×C4C2×#12111yescharacteristic
579C3×C4#52511yescharacteristic
580C3×C4#52511yescharacteristic
581Dic3—22no—
582Dic3—22no—
583Dic3—42no—
584Dic3—41no—
585Dic3—82no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—32no—
590C23—32no—
591C23—32no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—616no—
597C23—61no—
598C23—61no—
599C23—61no—
600C23—61no—
601C23—62no—
602C23—62no—
603C23—62no—
604C23—128no—
605C23—128no—
606C23—128no—
607C23—128no—
608C23—128no—
609C23—128no—
610C23—121no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23C2×D3×D411yescharacteristic
615Q8—42no—
616Q8—42no—
617Q8—42no—
618Q8—42no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—34no—
623D4—616no—
624D4—62no—
625D4—62no—
626D4—62no—
627D4#93814yes—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—32no—
632C2×C4—32no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—68no—
644C2×C4—62no—
645C2×C4—62no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—62no—
652C2×C4—124no—
653C2×C4—128no—
654C2×C4—128no—
655C2×C4—128no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—128no—
659C2×C4—122no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4D3×SD1612yes—
663C2×C4#91412yes—
664C2×C4#93712yes—
665C2×C4#93712yes—
666C2×C4C2×D3×D411yescharacteristic
667C2×C4C2×D3×D411yescharacteristic
668C2×C4C2×#23711yescharacteristic
669C2×C4D3×#4111yescharacteristic
670C2×C4D3×#4111yescharacteristic
671C2×C4C22×#6711yescharacteristic
672C8—42no—
673C8—122no—
674C2×C3—44no—
675C2×C3#284711yescharacteristic
676C2×C3C2×#45011yescharacteristic
677C2×C3#300711yescharacteristic
678C2×C3C2×#46111yescharacteristic
679C2×C3#303611yescharacteristic
680C2×C3#310111yescharacteristic
681C2×C3#311011yescharacteristic
682D3—24no—
683D3—44no—
684C22—24no—
685C22—34no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—62no—
693C22—62no—
694C22—62no—
695C22—62no—
696C22—62no—
697C22—62no—
698C22—64no—
699C22—1232no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22—122no—
706C22D3×#12111yescharacteristic
707C22#560611yescharacteristic
708C22C2×D3×SD1611yescharacteristic
709C22C2×#91411yescharacteristic
710C22D3×#13711yescharacteristic
711C22#577711yescharacteristic
712C22C2×#93711yescharacteristic
713C4—22no—
714C4—42no—
715C4—62no—
716C4—62no—
717C4—82no—
718C4—121no—
719C4—122no—
720C4—242no—
721C4#516914yescomplemented
722C4D3×#12111yescharacteristic
723C4#560611yescharacteristic
724C4C2×#93811yescharacteristic
725C4#582811yescharacteristic
726C3#3290511yescharacteristic, complemented, Sylow
727C2—44no—
728C2—64no—
729C2—124no—
730C2#8040811yescharacteristic
731C2#8041011yescharacteristic
732C2D3×#46111yescharacteristic
733C2#8042811yescharacteristic
734C2#8272311yescharacteristic
735C2C2×#516911yescharacteristic
736C2#8398111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#461C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenterC2×#461D3
hypocenterC3#32905
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#461

Complements

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

NH ≅ G/Ntype
2. C2×C3×#461C2semidirect
4. #83269C2semidirect
5. C2×#5083C2semidirect
6. #72047C2semidirect
7. #71604C2semidirect
8. #70479C2semidirect
9. #70475C2semidirect
10. #70276C2semidirect
11. #70268C2semidirect
16. C2×C3×C4⋊Q8C22semidirect
31. C2×C3×C4⋊C8C22semidirect
32. C2×C3×#103C22semidirect
33. #5229C22semidirect
34. C2×#835C22semidirect
44. #4935C22semidirect
45. C2×C4⋊(C3⋊C8)C22semidirect
46. #4551C22semidirect
47. #4550C22semidirect
48. #4529C22semidirect
51. C2×#461D3semidirect
140. C2×C4⋊Q8C2×D3semidirect
157. C2×C4⋊C8C2×D3semidirect
159. C2×#103C2×D3semidirect
242. C2×C4×D3SD16semidirect
572. C2×D3#461semidirect
576. C3×C4#450semidirect
721. C4#5169semidirect
726. C3#32905semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D3×D42
C2×C3×#4612
C2×#51692
#832692
C2×#50832
#720472
#716042
#704792
#704752
#702762
#702682
#329053