Finite Group Databasebeta

← #10732194

Subgroups — #10732194

Order 768.

2770 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×Dic3C211yesmaximal, characteristic
2C22×#878C212yesmaximal, complemented
3C2×#4942C212yesmaximal, complemented
4C2×#4646C211yesmaximal, characteristic, complemented
5C3×#1438C211yesmaximal, characteristic
6#72131C211yesmaximal, characteristic
7#71547C212yesmaximal, complemented
8#71546C212yesmaximal, complemented
9#69420C211yesmaximal, characteristic, complemented
10#69419C211yesmaximal, characteristic, complemented
11Dic3⋊#95C211yesmaximal, characteristic, complemented
12#15177—31nomaximal, Sylow
13C23×C3×D4C2211yescharacteristic
14C24×Dic3C2212yes—
15C23×Dic6C2211yescharacteristic
16C22×C3×C22⋊C4C2212yes—
17C22×C3×C22⋊C4C2212yes—
18C22×#217C2212yes—
19C22×#217C2212yes—
20C22×#217C2212yes—
21C2×D4×Dic3—28no—
22C2×D4×Dic3—24no—
23C22×C4⋊Dic3C2211yescharacteristic
24C22×C4⋊Dic3C2212yes—
25C22×Dic3⋊C4C2212yes—
26C22×Dic3⋊C4C2211yescharacteristic
27C22×Dic3⋊C4C2212yes—
28C22×C4×Dic3C2211yescharacteristic
29C2×#878—28no—
30C2×#878—28no—
31C2×#878—28no—
32C2×C3×#95C2211yescharacteristic
33C2×C3×#95C2211yescharacteristic
34C2×C3⋊#95C2211yescharacteristic
35C2×C3⋊#95C2211yescharacteristic
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38C2×C3⋊#95C2211yescharacteristic
39C2×C3⋊#95C2211yescharacteristic
40C2×C3⋊#95C2212yes—
41#4942—28no—
42#4646—24no—
43C22×C22⋊Q8—32no—
44C22×C4×D4—31no—
45C2×#391—31no—
46C2×#380—32no—
47#1444—31no—
48#1444—31no—
49#1439—32no—
50#1439—32no—
51#1438—31no—
52#1438D311yescharacteristic
53C4⋊#95—31no—
54C25×C3C2312yes—
55C22×C3×D4—24no—
56C22×C3×D4—24no—
57C22×C3×D4—22no—
58C22×C3×D4—22no—
59C22×C3×D4Q814yescomplemented
60C23×C3×C4C2311yescharacteristic
61C23×C3×C4C2311yescharacteristic
62C23×C3×C4C2312yes—
63C23×C3×C4C2311yescharacteristic
64C23×Dic3—24no—
65C23×Dic3—24no—
66C23×Dic3—24no—
67C23×Dic3—24no—
68C23×Dic3—24no—
69C23×Dic3—24no—
70C23×Dic3D418yes—
71C23×Dic3C2311yescharacteristic
72C23×Dic3C2311yescharacteristic
73C23×Dic3C2312yes—
74C23×Dic3C2311yescharacteristic
75C23×Dic3C2312yes—
76C23×Dic3C2311yescharacteristic
77C22×Dic6—22no—
78C22×Dic6—24no—
79C22×Dic6—24no—
80C22×Dic6—22no—
81C22×Dic6D414yescomplemented
82C2×C3×C22⋊C4—24no—
83C2×C3×C22⋊C4—24no—
84C2×C3×C22⋊C4—24no—
85C2×C3×C22⋊C4—24no—
86C2×C3×C22⋊C4—24no—
87C2×C3×C22⋊C4—42no—
88C2×#217—24no—
89C2×#217—24no—
90C2×#217—24no—
91C2×#217—24no—
92C2×#217—24no—
93C2×#217—24no—
94C2×#217—24no—
95C2×#217—24no—
96C2×#217—42no—
97D4×Dic3—232no—
98C2×C4⋊Dic3—24no—
99C2×C4⋊Dic3—22no—
100C2×C4⋊Dic3—24no—
101C2×C4⋊Dic3—24no—
102C2×C4⋊Dic3—24no—
103C2×Dic3⋊C4—24no—
104C2×Dic3⋊C4—24no—
105C2×Dic3⋊C4—24no—
106C2×Dic3⋊C4—24no—
107C2×Dic3⋊C4—24no—
108C2×Dic3⋊C4—22no—
109C2×Dic3⋊C4—24no—
110C2×Dic3⋊C4D418yescomplemented
111C2×C4×Dic3—24no—
112C2×C4×Dic3D414yes—
113#878—264no—
114C3×#95—22no—
115C3×#95—22no—
116C3⋊#95—22no—
117C3⋊#95—24no—
118C3⋊#95—22no—
119C3⋊#95—22no—
120C3⋊#95—22no—
121C3⋊#95—24no—
122C3⋊#95—42no—
123C23×Q8—31no—
124C23×D4C2×D311yescharacteristic
125C24×C4—32no—
126C2×C22⋊Q8—68no—
127C2×C22⋊Q8—68no—
128C2×C22⋊Q8—68no—
129C2×C4×D4—64no—
130C2×C4×D4—68no—
131C22×C4⋊C4—32no—
132C22×C4⋊C4—31no—
133C22×C4⋊C4—32no—
134C22×C4⋊C4—32no—
135C22×C4⋊C4—31no—
136C22×C22⋊C4—32no—
137C22×C22⋊C4—32no—
138C22×C22⋊C4—32no—
139C22×C22⋊C4C2×D312yes—
140C22×C22⋊C4C2×D312yes—
141C22×C42—31no—
142#391—64no—
143#380—68no—
144C2×#95—31no—
145C2×#95—31no—
146C2×#95—31no—
147C2×#95—31no—
148C2×#95—32no—
149C2×#95—32no—
150C2×#95—32no—
151C2×#95C2×D311yescharacteristic
152C2×#95C2×D311yescharacteristic
153C24×C3—22no—
154C24×C3—22no—
155C24×C3—22no—
156C24×C3—22no—
157C24×C3—22no—
158C24×C3—22no—
159C24×C3—22no—
160C24×C3—22no—
161C24×C3—22no—
162C24×C3—22no—
163C24×C3—22no—
164C24×C3—22no—
165C24×C3C2×D414yes—
166C24×C3C2×Q814yes—
167C24×C3#4114yes—
168C24×C3C2411yescharacteristic
169C2×C3×D4—28no—
170C2×C3×D4—28no—
171C2×C3×D4—216no—
172C2×C3×D4—216no—
173C2×C3×D4—28no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—21no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—21no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—21no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—21no—
190C22×C3×C4—21no—
191C22×C3×C4C2×D414yes—
192C22×C3×C4C2×D412yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4C2×Q812yes—
195C22×C3×C4#4112yes—
196C22×Dic3—21no—
197C22×Dic3—22no—
198C22×Dic3—22no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—21no—
210C22×Dic3—22no—
211C22×Dic3—21no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—21no—
215C22×Dic3—22no—
216C22×Dic3—216no—
217C22×Dic3—216no—
218C22×Dic3—216no—
219C22×Dic3—21no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—21no—
223C22×Dic3—21no—
224C22×Dic3—48no—
225C22×Dic3—48no—
226C22×Dic3—48no—
227C22×Dic3—48no—
228C22×Dic3C2×D412yes—
229C22×Dic3C2×D414yes—
230C22×Dic3C2×D414yes—
231C22×Dic3C2×D412yes—
232C22×Dic3C2×D414yes—
233C22×Dic3C2×D412yes—
234C22×Dic3C2×D412yes—
235C22×Dic3C2×D414yes—
236C22×Dic3#4112yes—
237C2×Dic6—216no—
238C2×Dic6—28no—
239C2×Dic6—44no—
240C2×Dic6—48no—
241C2×Dic6—44no—
242C3×C22⋊C4—216no—
243C3×C22⋊C4—48no—
244#217—216no—
245#217—216no—
246#217—48no—
247C4⋊Dic3—216no—
248C4⋊Dic3—28no—
249Dic3⋊C4—216no—
250Dic3⋊C4—216no—
251Dic3⋊C4—44no—
252C4×Dic3—28no—
253C25C22×D312yes—
254C22×Q8—34no—
255C22×Q8—64no—
256C22×Q8—64no—
257C22×Q8—62no—
258C22×Q8—62no—
259C22×D4—24no—
260C22×D4—24no—
261C22×D4—22no—
262C22×D4—22no—
263C22×D4Dic614yescomplemented
264C23×C4—31no—
265C23×C4—38no—
266C23×C4—31no—
267C23×C4—32no—
268C23×C4—31no—
269C23×C4—32no—
270C23×C4—31no—
271C23×C4—64no—
272C23×C4—64no—
273C23×C4—64no—
274C23×C4—64no—
275C23×C4—64no—
276C23×C4—64no—
277C23×C4C22×D311yescharacteristic
278C23×C4C22×D311yescharacteristic
279C23×C4C22×D312yes—
280C23×C4C22×D311yescharacteristic
281C22⋊Q8—664no—
282C4×D4—632no—
283C2×C4⋊C4—38no—
284C2×C4⋊C4—64no—
285C2×C4⋊C4—64no—
286C2×C4⋊C4—64no—
287C2×C4⋊C4—64no—
288C2×C4⋊C4—64no—
289C2×C4⋊C4—64no—
290C2×C4⋊C4—64no—
291C2×C4⋊C4—62no—
292C2×C4⋊C4—64no—
293C2×C4⋊C4—64no—
294C2×C4⋊C4—64no—
295C2×C4⋊C4—62no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—24no—
299C2×C22⋊C4—24no—
300C2×C22⋊C4—24no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—64no—
303C2×C22⋊C4—64no—
304C2×C22⋊C4—64no—
305C2×C22⋊C4—64no—
306C2×C22⋊C4—64no—
307C2×C22⋊C4—64no—
308C2×C22⋊C4—64no—
309C2×C22⋊C4—64no—
310C2×C22⋊C4—122no—
311C2×C42—34no—
312C2×C42—64no—
313#95—22no—
314#95—22no—
315#95—64no—
316#95—62no—
317#95—62no—
318#95—64no—
319#95—62no—
320#95—62no—
321#95—122no—
322C23×C3—24no—
323C23×C3—24no—
324C23×C3—24no—
325C23×C3—24no—
326C23×C3—24no—
327C23×C3—24no—
328C23×C3—24no—
329C23×C3—24no—
330C23×C3—24no—
331C23×C3—24no—
332C23×C3—24no—
333C23×C3—24no—
334C23×C3—24no—
335C23×C3—24no—
336C23×C3—24no—
337C23×C3—24no—
338C23×C3—24no—
339C23×C3—24no—
340C23×C3—42no—
341C23×C3—42no—
342C23×C3—42no—
343C23×C3—42no—
344C23×C3—42no—
345C23×C3—42no—
346C23×C3—42no—
347C23×C3—42no—
348C23×C3—42no—
349C23×C3—42no—
350C23×C3—42no—
351C23×C3—42no—
352C23×C3—42no—
353C23×C3—42no—
354C23×C3—42no—
355C23×C3—42no—
356C23×C3C22⋊Q818yescomplemented
357C23×C3C22×D412yes—
358C23×C3C22×D411yescharacteristic
359C23×C3C22×D411yescharacteristic
360C23×C3C22×D412yes—
361C23×C3C22×Q811yescharacteristic
362C23×C3C2×#4112yes—
363C23×C3C2×#4111yescharacteristic
364C23×C3C2×#4111yescharacteristic
365C23×C3H(5,𝔽2)11yescharacteristic
366C23×C32−1+412yes—
367C23×C32−1+411yescharacteristic
368C3×D4—232no—
369C2×C3×C4—22no—
370C2×C3×C4—24no—
371C2×C3×C4—22no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—22no—
376C2×C3×C4—24no—
377C2×C3×C4—24no—
378C2×C3×C4—41no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—41no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—42no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4C22⋊Q814yescomplemented
391C2×Dic3—22no—
392C2×Dic3—24no—
393C2×Dic3—24no—
394C2×Dic3—24no—
395C2×Dic3—24no—
396C2×Dic3—22no—
397C2×Dic3—24no—
398C2×Dic3—22no—
399C2×Dic3—22no—
400C2×Dic3—24no—
401C2×Dic3—24no—
402C2×Dic3—41no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—41no—
409C2×Dic3—42no—
410C2×Dic3—42no—
411C2×Dic3—42no—
412C2×Dic3—42no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3—432no—
416C2×Dic3—41no—
417C2×Dic3—41no—
418C2×Dic3—41no—
419C2×Dic3—42no—
420C2×Dic3—42no—
421C2×Dic3#12014yes—
422C2×Dic3#12018yes—
423C2×Dic3#12114yes—
424C2×Dic3#12118yes—
425C2×Dic3#12714yes—
426Dic6—416no—
427C24—22no—
428C24—22no—
429C24—22no—
430C24—22no—
431C24—22no—
432C24—22no—
433C24—22no—
434C24—22no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24C2×Dic614yes—
440C24D3×D414yes—
441C24#23714yes—
442C24C23×D311yescharacteristic
443C2×Q8—616no—
444C2×Q8—68no—
445C2×Q8—124no—
446C2×Q8—124no—
447C2×Q8—128no—
448C2×D4—28no—
449C2×D4—28no—
450C2×D4—216no—
451C2×D4—216no—
452C2×D4—28no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—21no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—32no—
471C22×C4—34no—
472C22×C4—34no—
473C22×C4—32no—
474C22×C4—32no—
475C22×C4—32no—
476C22×C4—34no—
477C22×C4—32no—
478C22×C4—34no—
479C22×C4—616no—
480C22×C4—616no—
481C22×C4—616no—
482C22×C4—62no—
483C22×C4—61no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—61no—
496C22×C4—62no—
497C22×C4—62no—
498C22×C4—61no—
499C22×C4—62no—
500C22×C4—61no—
501C22×C4—62no—
502C22×C4—61no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—128no—
508C22×C4—128no—
509C22×C4—128no—
510C22×C4—128no—
511C22×C4C2×Dic612yes—
512C22×C4D3×D414yes—
513C22×C4D3×D412yes—
514C22×C4D3×D412yes—
515C22×C4#23712yes—
516C4⋊C4—616no—
517C4⋊C4—68no—
518C4⋊C4—616no—
519C4⋊C4—616no—
520C4⋊C4—124no—
521C22⋊C4—216no—
522C22⋊C4—48no—
523C22⋊C4—616no—
524C22⋊C4—616no—
525C22⋊C4—128no—
526C42—68no—
527C22×C3—28no—
528C22×C3—28no—
529C22×C3—28no—
530C22×C3—44no—
531C22×C3—44no—
532C22×C3—44no—
533C22×C3—44no—
534C22×C3—44no—
535C22×C3—44no—
536C22×C3—44no—
537C22×C3—44no—
538C22×C3—44no—
539C22×C3—44no—
540C22×C3—44no—
541C22×C3—44no—
542C22×C3C2×#12011yescharacteristic
543C22×C3C2×#12012yes—
544C22×C3C2×#12112yes—
545C22×C3C2×#12111yescharacteristic
546C22×C3C2×C22⋊Q812yes—
547C22×C3C2×C22⋊Q811yescharacteristic
548C22×C3#52512yes—
549C22×C3#52511yescharacteristic
550C22×C3C2×#12711yescharacteristic
551C22×C3#53612yes—
552C22×C3#53611yescharacteristic
553C22×C3#53712yes—
554C22×C3#53711yescharacteristic
555C22×C3#54612yes—
556C22×C3#54712yes—
557C22×C3#54812yes—
558C22×C3#54812yes—
559C22×C3D4×Q811yescharacteristic
560C22×C3D4×Q812yes—
561C22×C3#55011yescharacteristic
562C22×C3#55212yes—
563C22×C3#55411yescharacteristic
564C22×C3#55611yescharacteristic
565C3×C4—24no—
566C3×C4—42no—
567C3×C4—44no—
568C3×C4—81no—
569Dic3—42no—
570Dic3—42no—
571Dic3—44no—
572Dic3—44no—
573Dic3—81no—
574Dic3#39218yes—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—24no—
579C23—24no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—24no—
592C23—24no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—42no—
602C23—42no—
603C23—42no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23#87818yescomplemented
610C23C22×Dic611yescharacteristic
611C23C2×D3×D412yes—
612C23C2×D3×D411yescharacteristic
613C23C2×D3×D412yes—
614C23C2×D3×D411yescharacteristic
615C23C2×#23712yes—
616C23C2×#23711yescharacteristic
617C23#100411yescharacteristic
618C23D3×#4111yescharacteristic
619C23#101011yescharacteristic
620C23#101012yes—
621Q8—1216no—
622D4—232no—
623C2×C4—24no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—34no—
633C2×C4—34no—
634C2×C4—38no—
635C2×C4—38no—
636C2×C4—34no—
637C2×C4—41no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—62no—
650C2×C4—62no—
651C2×C4—64no—
652C2×C4—64no—
653C2×C4—64no—
654C2×C4—64no—
655C2×C4—64no—
656C2×C4—64no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—64no—
660C2×C4—1232no—
661C2×C4—122no—
662C2×C4—122no—
663C2×C4—121no—
664C2×C4—122no—
665C2×C4—122no—
666C2×C4—122no—
667C2×C4—121no—
668C2×C4—122no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4—122no—
673C2×C4—122no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—121no—
679C2×C4#87814yescomplemented
680C2×C3—48no—
681C2×C3C2×#39211yescharacteristic
682C2×C3#240712yes—
683C2×C3#240912yes—
684C2×C3#241512yes—
685C2×C3#241712yes—
686C2×C3#253611yescharacteristic
687C2×C3#253811yescharacteristic
688C2×C3#254011yescharacteristic
689C2×C3#254211yescharacteristic
690C2×C3#261611yescharacteristic
691C2×C3#284811yescharacteristic
692C22—28no—
693C22—28no—
694C22—28no—
695C22—44no—
696C22—44no—
697C22—44no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—44no—
702C22—44no—
703C22—44no—
704C22—44no—
705C22—44no—
706C22—44no—
707C22C2×#87811yescharacteristic
708C22C2×#87812yes—
709C22D4×Dic611yescharacteristic
710C22D4×Dic612yes—
711C22#553911yescharacteristic
712C22#558612yes—
713C22#558611yescharacteristic
714C22D3×#12011yescharacteristic
715C22D3×#12012yes—
716C22#559112yes—
717C22#559712yes—
718C22#559812yes—
719C22#559812yes—
720C22D3×#12111yescharacteristic
721C22D3×#12112yes—
722C22#560811yescharacteristic
723C22#561112yes—
724C22#564812yes—
725C22#565012yes—
726C22#567111yescharacteristic
727C22#567511yescharacteristic
728C22D3×#12711yescharacteristic
729C22#571811yescharacteristic
730C4—24no—
731C4—38no—
732C4—44no—
733C4—42no—
734C4—81no—
735C4—124no—
736C4—122no—
737C4—124no—
738C4—122no—
739C4—241no—
740C3#1517711yescharacteristic, complemented, Sylow
741C2—48no—
742C2#7384611yescharacteristic
743C2#7468912yes—
744C2#7469312yes—
745C2#7634611yescharacteristic
746C2#7634911yescharacteristic
747C2#7666812yes—
748C2#7668711yescharacteristic
749C2D3×#39211yescharacteristic
750C2#7689712yes—
751C2#7694311yescharacteristic
752C2#7697011yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1438C2
prime radicalC23×C3×D4C22
hypercenter#1438D3
hypocenterC3#15177
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1438

Complements

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

NH ≅ G/Ntype
2. C22×#878C2semidirect
3. C2×#4942C2semidirect
4. C2×#4646C2semidirect
7. #71547C2semidirect
8. #71546C2semidirect
9. #69420C2semidirect
10. #69419C2semidirect
11. Dic3⋊#95C2semidirect
59. C22×C3×D4Q8semidirect
81. C22×Dic6D4semidirect
110. C2×Dic3⋊C4D4semidirect
263. C22×D4Dic6semidirect
356. C23×C3C22⋊Q8semidirect
390. C2×C3×C4C22⋊Q8semidirect
609. C23#878semidirect
679. C2×C4#878semidirect
740. C3#15177semidirect

Maximal subgroups

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

subgroupindex
C22×D4×Dic32
C22×#8782
C2×#49422
C2×#46462
C3×#14382
#721312
#715472
#715462
#694202
#694192
Dic3⋊#952
#151773