Finite Group Databasebeta

← #10826975

Subgroups — #10826975

Order 768.

1952 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#537C211yesmaximal, characteristic, complemented
2C2×#5830C211yesmaximal, characteristic, complemented
3C2×#5238C212yesmaximal, complemented
4C2×#5046C211yesmaximal, characteristic, complemented
5C2×#5036C211yesmaximal, characteristic, complemented
6#72136C211yesmaximal, characteristic, complemented
7#71699C212yesmaximal, complemented
8#71693C211yesmaximal, characteristic, complemented
9#71684C212yesmaximal, complemented
10#71678C211yesmaximal, characteristic, complemented
11#71560C212yesmaximal, complemented
12#23924—31nomaximal, Sylow
13C22×C3×#41C2211yescharacteristic
14C22×C3×#41C2211yescharacteristic, complemented
15C23×D12C2211yescharacteristic
16C3×#537—24no—
17C3×#537—24no—
18C2×C3×C22⋊Q8—21no—
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×C22⋊Q8C2211yescharacteristic, complemented
21C2×C3×#121—21no—
22C2×C3×#121—21no—
23C2×C3×#121—21no—
24C2×C3×#121C2211yescharacteristic
25C2×C3×#121C2211yescharacteristic, complemented
26C22×C3×C4⋊C4C2211yescharacteristic, complemented
27#5830—28no—
28C2×#947—21no—
29C22×#215C2212yes—
30C2×#940—21no—
31C2×#937—21no—
32C2×#937—21no—
33C22×#213C2212yes—
34C2×#930C2212yes—
35C2×#930C2212yes—
36C2×#926C2211yescharacteristic
37#5238—28no—
38C2×#835C2212yescomplemented
39C2×#832C2212yescomplemented
40C2×#830C2211yescharacteristic
41C2×#830C2211yescharacteristic
42C2×#830C2212yescomplemented
43C2×#830C2212yescomplemented
44#5046—24no—
45#5036—24no—
46C2×#809C2212yes—
47C2×#809C2212yes—
48#4529C2212yescomplemented
49#4529C2212yescomplemented
50C2×#537D311yescharacteristic, complemented
51C2×#535—31no—
52C2×#449—32no—
53C2×#450—31no—
54C2×#447—31no—
55#2000—32no—
56#1999—32no—
57#1875—31no—
58#1874—32no—
59#1873—31no—
60#1780—31no—
61C24×D3—21no—
62C2×C3×#41—22no—
63C2×C3×#41—22no—
64C2×C3×#41—24no—
65C2×C3×#41—22no—
66C2×C3×#41—22no—
67C2×C3×#41—24no—
68C2×C3×#41—42no—
69C2×C3×#41—42no—
70C22×C3×Q8D411yescharacteristic
71C22×C3×Q8C2311yescharacteristic
72C22×C3×D4—21no—
73C22×C3×D4—21no—
74C22×C3×D4—21no—
75C22×C3×D4D411yescharacteristic
76C22×C3×D4D411yescharacteristic
77C22×C3×D4D411yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C23×C3×C4C2311yescharacteristic
82C23×C3×C4C2311yescharacteristic
83C23×C3×C4C2311yescharacteristic
84C22×#67—22no—
85C22×#67—22no—
86C22×D12—21no—
87C22×D12—24no—
88C22×D12—22no—
89C22×D12—22no—
90C22×D12—42no—
91C22×D12C2312yes—
92C3×C22⋊Q8—28no—
93C3×C22⋊Q8—22no—
94C3×C22⋊Q8—22no—
95C3×C22⋊Q8—22no—
96C3×C22⋊Q8D414yescomplemented
97C3×#121—28no—
98C3×#121—28no—
99C3×#121—28no—
100C3×#121—22no—
101C3×#121—22no—
102C3×#121—22no—
103C3×#121D414yescomplemented
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4—22no—
108C2×C3×C4⋊C4—22no—
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×#217—21no—
116#947—28no—
117C2×#215—24no—
118C2×#215—24no—
119C2×#215—42no—
120#940—28no—
121#937—28no—
122#937—28no—
123C2×#213—24no—
124C2×#213—24no—
125C2×#213—42no—
126#930—24no—
127#930—24no—
128#930—24no—
129#930D418yescomplemented
130C2×(C2×D3)⋊C4—22no—
131C2×(C2×D3)⋊C4—22no—
132#926—24no—
133C2×C4⋊Dic3C2312yes—
134C2×C4×Dic3—21no—
135C22×C3⋊C8C2312yes—
136C22×C3⋊C8C2312yes—
137#835—24no—
138#832—24no—
139#830—22no—
140#830—22no—
141#830—24no—
142#830—42no—
143#809—24no—
144#809—24no—
145C22×#41C2×D311yescharacteristic
146C22×#41C2×D311yescharacteristic, complemented
147C23×D4—31no—
148C22×SD16—32no—
149C22×D8—32no—
150#537—24no—
151#537—24no—
152#535—68no—
153C2×#127—61no—
154C2×#124—61no—
155C2×C22⋊Q8—21no—
156C2×C22⋊Q8C2×D311yescharacteristic
157C2×C22⋊Q8C2×D311yescharacteristic, complemented
158C2×#121—21no—
159C2×#121—21no—
160C2×#121—21no—
161C2×#121—32no—
162C2×#121—32no—
163C2×#121C2×D311yescharacteristic
164C2×#121C2×D311yescharacteristic, complemented
165C2×#120—61no—
166C2×#120—61no—
167C2×#117—31no—
168C22×C4⋊C4C2×D311yescharacteristic, complemented
169#450—64no—
170#449—68no—
171#447—64no—
172C2×#103—32no—
173C2×#102—32no—
174C2×#102—32no—
175C2×#102—32no—
176C2×C22⋊C8—31no—
177C2×C22⋊C8—32no—
178C2×C22⋊C8—31no—
179C2×C22⋊C8—32no—
180#340—32no—
181#340—32no—
182C24×C3—21no—
183C24×C3C2×D411yescharacteristic
184C24×C3C2×D411yescharacteristic
185C24×C3C2×D411yescharacteristic
186C23×D3—22no—
187C23×D3—24no—
188C23×D3—42no—
189C23×D3—42no—
190C23×D3—82no—
191C23×D3—82no—
192C3×#41—48no—
193C3×#41—48no—
194C3×#41—48no—
195C3×#41—48no—
196C2×C3×Q8—22no—
197C2×C3×Q8—22no—
198C2×C3×Q8—21no—
199C2×C3×Q8—22no—
200C2×C3×Q8—22no—
201C2×C3×Q8—41no—
202C2×C3×Q8C2×D412yes—
203C2×C3×D4—24no—
204C2×C3×D4—22no—
205C2×C3×D4—22no—
206C2×C3×D4—22no—
207C2×C3×D4—22no—
208C2×C3×D4—24no—
209C2×C3×D4—24no—
210C2×C3×D4—22no—
211C2×C3×D4—22no—
212C2×C3×D4—22no—
213C2×C3×D4—21no—
214C2×C3×D4—22no—
215C2×C3×D4—41no—
216C2×C3×D4—41no—
217C2×C3×D4—41no—
218C2×C3×D4—42no—
219C2×C3×D4—42no—
220C2×C3×D4—82no—
221C2×C3×D4—82no—
222C2×C3×D4C2×D412yes—
223C22×C3×C4—22no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—22no—
227C22×C3×C4—22no—
228C22×C3×C4—24no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4—24no—
233C22×C3×C4—22no—
234C22×C3×C4—21no—
235C22×C3×C4—21no—
236C22×C3×C4—22no—
237C22×C3×C4—42no—
238C22×C3×C4—42no—
239C22×C3×C4—82no—
240C22×C3×C4C2×D414yes—
241C22×C3×C4C2×D411yescharacteristic
242C22×C3×C4C2×D411yescharacteristic
243C22×C3×C4C2×D411yescharacteristic
244C22×C3×C4C2×D412yes—
245C22×C3×C4C2×D412yes—
246C22×C3×C4C2411yescharacteristic
247C2×#67—28no—
248C2×#67—28no—
249C2×#67—82no—
250C2×#67—82no—
251C2×#67—82no—
252C2×#67—82no—
253C22×Dic3—22no—
254C2×D12—22no—
255C2×D12—22no—
256C2×D12—22no—
257C2×D12—22no—
258C2×D12—24no—
259C2×D12—22no—
260C2×D12—48no—
261C2×D12—48no—
262C2×D12—42no—
263C2×D12—42no—
264C2×D12C2×D414yes—
265C3×C4⋊C4—24no—
266C3×C4⋊C4—24no—
267C3×C4⋊C4—24no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4C2×D412yes—
271C3×C4⋊C4C2×D412yes—
272C3×C22⋊C4—24no—
273C3×C22⋊C4—24no—
274C3×C22⋊C4—24no—
275C3×C22⋊C4—24no—
276#217—24no—
277#215—48no—
278#213—48no—
279(C2×D3)⋊C4—28no—
280(C2×D3)⋊C4—28no—
281C4⋊Dic3—22no—
282C4⋊Dic3C2×D414yes—
283C4×Dic3—24no—
284C2×C3⋊C8—22no—
285C2×C3⋊C8—22no—
286C2×C3⋊C8—22no—
287C2×C3⋊C8—22no—
288C2×C3⋊C8—22no—
289C2×C3⋊C8—22no—
290C25—61no—
291C2×#41—22no—
292C2×#41—22no—
293C2×#41—24no—
294C2×#41—22no—
295C2×#41—22no—
296C2×#41—24no—
297C2×#41—42no—
298C2×#41—42no—
299C22×Q8#6711yescharacteristic
300C22×Q8C22×D311yescharacteristic
301C22×D4—21no—
302C22×D4—21no—
303C22×D4—21no—
304C22×D4—32no—
305C22×D4—64no—
306C22×D4—62no—
307C22×D4—62no—
308C22×D4—61no—
309C22×D4—62no—
310C22×D4—62no—
311C22×D4—122no—
312C22×D4#6711yescharacteristic
313C22×D4#6711yescharacteristic
314C22×D4#6711yescharacteristic
315C22×D4C22×D311yescharacteristic
316C23×C4—21no—
317C23×C4—21no—
318C23×C4C22×D311yescharacteristic
319C23×C4C22×D311yescharacteristic
320C23×C4C22×D311yescharacteristic
321C2×SD16—64no—
322C2×SD16—64no—
323C2×SD16—122no—
324C2×D8—64no—
325C2×D8—64no—
326C2×D8—122no—
327C22×C8—32no—
328C22×C8—32no—
329#127—68no—
330#124—68no—
331C22⋊Q8—28no—
332C22⋊Q8—22no—
333C22⋊Q8—22no—
334C22⋊Q8—22no—
335C22⋊Q8#6714yescomplemented
336#121—28no—
337#121—28no—
338#121—28no—
339#121—22no—
340#121—22no—
341#121—22no—
342#121—38no—
343#121—64no—
344#121—64no—
345#121—64no—
346#121#6714yescomplemented
347#120—68no—
348#120—68no—
349#117—64no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—32no—
356C2×C4⋊C4C22×D311yescharacteristic
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C22⋊C4—21no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—61no—
363C2×C22⋊C4—62no—
364C2×C22⋊C4—62no—
365C2×C42—61no—
366#103—64no—
367#102—64no—
368#102—64no—
369#102—64no—
370C22⋊C8—64no—
371C22⋊C8—62no—
372C22⋊C8—62no—
373C22⋊C8—122no—
374C23×C3—21no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—22no—
379C23×C3—22no—
380C23×C3—22no—
381C23×C3—22no—
382C23×C3—21no—
383C23×C3—22no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—41no—
389C23×C3—41no—
390C23×C3—42no—
391C23×C3—42no—
392C23×C3#12012yes—
393C23×C3#12012yes—
394C23×C3C22×D411yescharacteristic
395C22×D3—24no—
396C22×D3—48no—
397C22×D3—42no—
398C22×D3—42no—
399C22×D3—42no—
400C22×D3—42no—
401C22×D3—42no—
402C22×D3—42no—
403C22×D3—88no—
404C22×D3—84no—
405C22×D3—84no—
406C22×D3—88no—
407C3×Q8—24no—
408C3×Q8—44no—
409C3×Q8—42no—
410C3×D4—24no—
411C3×D4—44no—
412C3×D4—44no—
413C3×D4—44no—
414C3×D4—48no—
415C3×D4—42no—
416C3×D4—84no—
417C3×D4—84no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—24no—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4—21no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—21no—
431C2×C3×C4—21no—
432C2×C3×C4—48no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—42no—
436C2×C3×C4—42no—
437C2×C3×C4—42no—
438C2×C3×C4—42no—
439C2×C3×C4—84no—
440C2×C3×C4#12012yes—
441C2×C3×C4#12012yes—
442C2×C3×C4C22×D412yes—
443C2×C3×C4C22×D411yescharacteristic
444C2×C3×C4C22×D411yescharacteristic
445C2×C3×C4H(5,𝔽2)12yes—
446#67—88no—
447#67—88no—
448C2×Dic3—24no—
449C2×Dic3—42no—
450C2×Dic3—42no—
451D12—24no—
452D12—24no—
453D12—48no—
454D12—42no—
455D12—42no—
456C3⋊C8—42no—
457C3⋊C8—42no—
458C24—21no—
459C24—64no—
460C24—62no—
461C24—122no—
462C24—122no—
463C24—242no—
464C24—242no—
465C24C2×#6711yescharacteristic
466C24C2×#6711yescharacteristic
467C24C2×#6711yescharacteristic
468#41—48no—
469#41—48no—
470#41—48no—
471#41—48no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—21no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—41no—
478C2×Q8C2×#6712yes—
479C2×D4—24no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—21no—
491C2×D4—34no—
492C2×D4—41no—
493C2×D4—41no—
494C2×D4—41no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—64no—
498C2×D4—68no—
499C2×D4—68no—
500C2×D4—62no—
501C2×D4—62no—
502C2×D4—62no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—82no—
506C2×D4—82no—
507C2×D4—128no—
508C2×D4—128no—
509C2×D4—122no—
510C2×D4—122no—
511C2×D4—242no—
512C2×D4—242no—
513C2×D4—242no—
514C2×D4—242no—
515C2×D4C2×#6712yes—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—24no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—24no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—62no—
533C22×C4—82no—
534C22×C4D3×D414yes—
535C22×C4C2×#6711yescharacteristic
536C22×C4C2×#6711yescharacteristic
537C22×C4C2×#6711yescharacteristic
538C22×C4C2×#6712yes—
539C22×C4C2×#6712yes—
540C22×C4C23×D311yescharacteristic
541SD16—128no—
542D8—128no—
543C2×C8—62no—
544C2×C8—62no—
545C2×C8—62no—
546C2×C8—62no—
547C2×C8—62no—
548C2×C8—62no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—34no—
555C4⋊C4—62no—
556C4⋊C4C2×#6712yes—
557C4⋊C4C2×#6712yes—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—68no—
563C22⋊C4—64no—
564C22⋊C4—68no—
565C42—64no—
566C22×C3—22no—
567C22×C3—22no—
568C22×C3—22no—
569C22×C3—22no—
570C22×C3—24no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—41no—
574C22×C3—41no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—41no—
578C22×C3—42no—
579C22×C3—41no—
580C22×C3—42no—
581C22×C3—41no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—82no—
585C22×C3—82no—
586C22×C3C2×#12011yescharacteristic
587C22×C3C2×#12011yescharacteristic
588C22×C3#53411yescharacteristic
589C22×C3#57612yes—
590C22×C3#57712yes—
591C2×D3—44no—
592C2×D3—44no—
593C2×D3—44no—
594C2×D3—816no—
595C2×D3—82no—
596C2×D3—82no—
597C2×D3—82no—
598C2×D3—82no—
599C3×C4—22no—
600C3×C4—22no—
601C3×C4—41no—
602C3×C4—42no—
603C3×C4—42no—
604C3×C4—42no—
605C3×C4D4212yes—
606C3×C4D4212yes—
607Dic3—44no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—22no—
619C23—22no—
620C23—21no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—64no—
627C23—128no—
628C23—122no—
629C23—122no—
630C23—122no—
631C23—122no—
632C23—122no—
633C23—122no—
634C23—244no—
635C23—244no—
636C23—248no—
637C23—248no—
638C23#93712yes—
639C23#95312yes—
640C23C22×#6711yescharacteristic
641Q8—24no—
642Q8—44no—
643Q8—42no—
644D4—24no—
645D4—44no—
646D4—44no—
647D4—44no—
648D4—48no—
649D4—42no—
650D4—64no—
651D4—64no—
652D4—84no—
653D4—84no—
654D4—128no—
655D4—122no—
656D4—122no—
657D4—248no—
658D4—248no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—24no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—24no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—48no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—64no—
681C2×C4—84no—
682C2×C4—122no—
683C2×C4—122no—
684C2×C4#93712yes—
685C2×C4#95312yes—
686C2×C4C2×D3×D412yes—
687C2×C4#100412yes—
688C2×C4C22×#6711yescharacteristic
689C2×C4C22×#6711yescharacteristic
690C8—122no—
691C8—122no—
692C2×C3—42no—
693C2×C3—42no—
694C2×C3—81no—
695C2×C3—82no—
696C2×C3#240311yescharacteristic
697C2×C3#300811yescharacteristic
698C2×C3#301011yescharacteristic
699C2×C3#301212yes—
700C2×C3#319812yes—
701D3—84no—
702C22—22no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—24no—
707C22—41no—
708C22—41no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—41no—
714C22—41no—
715C22—42no—
716C22—41no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—82no—
721C22—82no—
722C22—124no—
723C22—124no—
724C22—124no—
725C22—2416no—
726C22—242no—
727C22—242no—
728C22—242no—
729C22—242no—
730C22C2×#93711yescharacteristic
731C22#580411yescharacteristic
732C22#583512yes—
733C22#583712yes—
734C22C2×#95311yescharacteristic
735C4—22no—
736C4—22no—
737C4—41no—
738C4—42no—
739C4—42no—
740C4—42no—
741C4—124no—
742C4D4×#6712yes—
743C4D4×#6712yes—
744C3#2392411yescharacteristic, complemented, Sylow
745C2—42no—
746C2—42no—
747C2—81no—
748C2—82no—
749C2—244no—
750C2#8342412yes—
751C2#8342512yes—
752C2#8405211yescharacteristic
753C2#8410111yescharacteristic
754C2#8411311yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#537C2
socleC23×C3C22×D4
hypercenterC2×#537D3
hypocenterC3#23924
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×#41 ◁ C2×#537

Complements

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

NH ≅ G/Ntype
1. C2×C3×#537C2semidirect
2. C2×#5830C2semidirect
3. C2×#5238C2semidirect
4. C2×#5046C2semidirect
5. C2×#5036C2semidirect
6. #72136C2semidirect
7. #71699C2semidirect
8. #71693C2semidirect
9. #71684C2semidirect
10. #71678C2semidirect
11. #71560C2semidirect
14. C22×C3×#41C22semidirect
20. C2×C3×C22⋊Q8C22semidirect
25. C2×C3×#121C22semidirect
26. C22×C3×C4⋊C4C22semidirect
38. C2×#835C22semidirect
39. C2×#832C22semidirect
42. C2×#830C22semidirect
43. C2×#830C22semidirect
48. #4529C22semidirect
49. #4529C22semidirect
50. C2×#537D3semidirect
96. C3×C22⋊Q8D4semidirect
103. C3×#121D4semidirect
129. #930D4semidirect
146. C22×#41C2×D3semidirect
157. C2×C22⋊Q8C2×D3semidirect
164. C2×#121C2×D3semidirect
168. C22×C4⋊C4C2×D3semidirect
335. C22⋊Q8#67semidirect
346. #121#67semidirect
744. C3#23924semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5372
C2×#58302
C2×#52382
C2×#50462
C2×#50362
#721362
#716992
#716932
#716842
#716782
#715602
#239243