Finite Group Databasebeta

← #10801908

Subgroups — #10801908

Order 768.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×#121C211yesmaximal, characteristic
2C2×#5042C211yesmaximal, characteristic
3C2×#5018C211yesmaximal, characteristic, complemented
4C4×#924C211yesmaximal, characteristic, complemented
5C2×C4×#208C211yesmaximal, characteristic, complemented
6#71682C211yesmaximal, characteristic
7#71609C211yesmaximal, characteristic, complemented
8#69646C211yesmaximal, characteristic, complemented
9#69644C211yesmaximal, characteristic, complemented
10#69619C211yesmaximal, characteristic, complemented
11#69614C211yesmaximal, characteristic, complemented
12#69516C211yesmaximal, characteristic, complemented
13#69513C211yesmaximal, characteristic, complemented
14#69481C211yesmaximal, characteristic, complemented
15#69475C211yesmaximal, characteristic, complemented
16#21540—31nomaximal, Sylow
17C2×C3×#121C2211yescharacteristic
18C2×C3×C4×D4—21no—
19C2×C3×C4×D4C2211yescharacteristic
20C22×C3×C42C2211yescharacteristic
21C22×#214C2211yescharacteristic
22C2×#924C2211yescharacteristic
23C22×#208C2211yescharacteristic
24C22×#208C2211yescharacteristic
25C2×C4×Dic6C2211yescharacteristic
26C3×#390C2211yescharacteristic
27C3×#389C2211yescharacteristic
28C3×#388—21no—
29C3×#386—21no—
30C3×#380C2211yescharacteristic
31C3×C4×C4⋊C4C2211yescharacteristic
32C3×C4×C22⋊C4—21no—
33C2×#832C2211yescharacteristic
34C2×#832C2211yescharacteristic
35C2×#832C2211yescharacteristic
36#5212C2211yescharacteristic
37#5210—21no—
38C4×#217—21no—
39#5042C418yescomplemented
40#5018—24no—
41C2×#810C2211yescharacteristic
42C2×#810C2211yescharacteristic
43C2×#810C2211yescharacteristic
44C2×#808C2211yescharacteristic
45C2×#807C2211yescharacteristic
46C2×#807C2211yescharacteristic
47C4×C4⋊Dic3C2211yescharacteristic
48#4933—21no—
49C4×Dic3⋊C4—21no—
50#4929C2211yescharacteristic
51#4928C2211yescharacteristic
52C4×#208—24no—
53C2×#803C2211yescharacteristic
54C2×#803C2211yescharacteristic
55C2×C4×C3⋊C8C2211yescharacteristic
56C2×C4×C3⋊C8C2211yescharacteristic
57#4529C2211yescharacteristic
58#4529C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#468—31no—
64C2×#440—31no—
65C2×C4×M16—31no—
66C4×C22⋊Q8—31no—
67C4×#121D311yescharacteristic
68#1968—31no—
69#1942—31no—
70#1934—31no—
71#1933—31no—
72#1895—31no—
73#1894—31no—
74#1809—31no—
75#1776—31no—
76#1763—31no—
77#1762—31no—
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4D411yescharacteristic
82C23×C3×C4D411yescharacteristic
83C23×C3×C4C2311yescharacteristic
84C22×Dic6C2311yescharacteristic
85C3×#121—22no—
86C3×#121C2×C414yes—
87C3×C4×D4—22no—
88C3×C4×D4—22no—
89C3×C4×D4—44no—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C22⋊C4—21no—
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C42—22no—
100C2×C3×C42—22no—
101C2×C3×C42—21no—
102C2×C3×C42D411yescharacteristic
103C2×C3×C42D411yescharacteristic
104C2×C3×C42C2311yescharacteristic
105C2×C3×C42C2311yescharacteristic
106C2×#217—21no—
107C2×#217—21no—
108C2×#214—22no—
109C2×#214—22no—
110C2×#214C2×C414yescomplemented
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×C4⋊Dic3C2311yescharacteristic
114#924—22no—
115#924C2×C414yescomplemented
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×#208—22no—
122C2×#208—22no—
123C2×#208—22no—
124C2×#208—22no—
125C2×#208—22no—
126C2×#208C2×C414yescomplemented
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C22×C3⋊C8C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C4×Dic6—22no—
132C4×Dic6—22no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136#832—22no—
137#832—22no—
138#832C2×C414yescomplemented
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#810—22no—
145#810—22no—
146#810C2×C414yescomplemented
147#808—22no—
148#807—22no—
149#807C2×C414yescomplemented
150#803—22no—
151#803D414yescomplemented
152C4×C3⋊C8—22no—
153C4×C3⋊C8—22no—
154C22×SD16—31no—
155C22×M16—31no—
156C22×M16—31no—
157C2×C22⋊Q8—31no—
158C2×#121C2×D311yescharacteristic
159C2×C4×Q8—31no—
160C2×C4×D4—21no—
161C2×C4×D4C2×D311yescharacteristic
162C22×C42C2×D311yescharacteristic
163#468—38no—
164#440—64no—
165C2×#107—31no—
166C2×#107—31no—
167C2×#106—31no—
168C2×#103—31no—
169C2×#103—31no—
170C2×#103—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102—31no—
174C4×M16—64no—
175C2×#97—31no—
176C2×#97—31no—
177C2×C4×C8—31no—
178C2×C4×C8—31no—
179#391—31no—
180#390C2×D311yescharacteristic
181#389—31no—
182#389C2×D311yescharacteristic
183#388—21no—
184#387—61no—
185#386—21no—
186#385—61no—
187#380—31no—
188#380C2×D311yescharacteristic
189C4×C4⋊C4—31no—
190C4×C4⋊C4—61no—
191C4×C4⋊C4C2×D311yescharacteristic
192C4×C22⋊C4—21no—
193C4×C22⋊C4—61no—
194#340—31no—
195#340—31no—
196#340—31no—
197#340—31no—
198#340—31no—
199#340—31no—
200C24×C3—21no—
201C24×C3C2×D411yescharacteristic
202C2×C3×D4—24no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—42no—
209C2×C3×D4—42no—
210C2×C3×D4C22×C412yes—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—41no—
223C22×C3×C4—41no—
224C22×C3×C4—42no—
225C22×C3×C4—42no—
226C22×C3×C4—42no—
227C22×C3×C4C22×C412yes—
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4#4112yes—
234C22×C3×C4C2411yescharacteristic
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C2×Dic6—21no—
240C2×Dic6—21no—
241C2×Dic6—21no—
242C2×Dic6—21no—
243C2×Dic6—21no—
244C2×Dic6C22×C412yes—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4C22×C412yes—
252C3×C22⋊C4—24no—
253C3×C22⋊C4—42no—
254C3×C22⋊C4—42no—
255C3×C22⋊C4—42no—
256C3×C22⋊C4—42no—
257C3×C42—22no—
258C3×C42—22no—
259C3×C42—21no—
260C3×C42—21no—
261C3×C42—42no—
262C3×C42C2×D412yes—
263C3×C42#4112yes—
264#217—24no—
265#217—42no—
266#214—28no—
267C4⋊Dic3—21no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3C22×C412yes—
273Dic3⋊C4—24no—
274Dic3⋊C4—42no—
275Dic3⋊C4—42no—
276C4×Dic3—42no—
277C4×Dic3—42no—
278#208—28no—
279#208—28no—
280C2×C3⋊C8—21no—
281C2×C3⋊C8—21no—
282C2×C3⋊C8—21no—
283C2×C3⋊C8—21no—
284C2×C3⋊C8—21no—
285C2×C3⋊C8—21no—
286C2×C3⋊C8C22×C412yes—
287C2×C3⋊C8C22×C412yes—
288C2×C3⋊C8C2×D412yes—
289C2×C3⋊C8C2×D412yes—
290C2×C3⋊C8#4112yes—
291C2×C3⋊C8#4112yes—
292C22×Q8—31no—
293C22×D4—21no—
294C22×D4C22×D311yescharacteristic
295C23×C4—21no—
296C23×C4#6711yescharacteristic
297C23×C4#6711yescharacteristic
298C23×C4C22×D311yescharacteristic
299C2×SD16—34no—
300C2×SD16—62no—
301C2×SD16—62no—
302C2×M16—34no—
303C2×M16—62no—
304C2×M16—62no—
305C2×M16—62no—
306C2×M16—62no—
307C2×M16—62no—
308C22×C8—31no—
309C22×C8—31no—
310C22×C8—31no—
311C22×C8—31no—
312C22⋊Q8—34no—
313C22⋊Q8—62no—
314#121—22no—
315#121C4×D314yes—
316C4×Q8—62no—
317C4×Q8—62no—
318C4×D4—22no—
319C4×D4—22no—
320C4×D4—44no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—61no—
326C2×C4⋊C4—61no—
327C2×C4⋊C4—61no—
328C2×C4⋊C4C22×D311yescharacteristic
329C2×C4⋊C4C22×D311yescharacteristic
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—21no—
336C2×C22⋊C4—61no—
337C2×C22⋊C4—61no—
338C2×C42—22no—
339C2×C42—22no—
340C2×C42—21no—
341C2×C42—61no—
342C2×C42—61no—
343C2×C42#6711yescharacteristic
344C2×C42#6711yescharacteristic
345C2×C42C22×D311yescharacteristic
346C2×C42C22×D311yescharacteristic
347#107—34no—
348#107—62no—
349#106—62no—
350#103—34no—
351#103—62no—
352#103—62no—
353#102—34no—
354#102—62no—
355#102—62no—
356#97—34no—
357#97—62no—
358C4×C8—62no—
359C4×C8—62no—
360#95—21no—
361#95—21no—
362#95—21no—
363#95—61no—
364#95—61no—
365#95—61no—
366#95—61no—
367#95—61no—
368C23×C3—21no—
369C23×C3—21no—
370C23×C3—21no—
371C23×C3—21no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—22no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3C4×D412yes—
382C23×C3C22×D411yescharacteristic
383C3×D4—22no—
384C3×D4—22no—
385C3×D4—48no—
386C3×D4—41no—
387C3×D4—41no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—22no—
403C2×C3×C4—44no—
404C2×C3×C4—44no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—84no—
414C2×C3×C4C4×D412yes—
415C2×C3×C4#12112yes—
416C2×C3×C4#12112yes—
417C2×C3×C4AGL(1,ℤ/8)12yes—
418C2×C3×C4#13712yes—
419C2×C3×C4C23×C411yescharacteristic
420C2×C3×C4C22×D411yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423C2×C3×C4C2×#4111yescharacteristic
424C2×C3×C4C2×#4111yescharacteristic
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—41no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—41no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437Dic6—22no—
438Dic6—22no—
439Dic6—41no—
440Dic6—41no—
441C3⋊C8—22no—
442C3⋊C8—22no—
443C3⋊C8—22no—
444C3⋊C8C4×D414yescomplemented
445C24—21no—
446C24C2×#6711yescharacteristic
447C2×Q8—32no—
448C2×Q8—61no—
449C2×Q8—61no—
450C2×Q8—61no—
451C2×Q8—61no—
452C2×Q8—61no—
453C2×D4—24no—
454C2×D4—21no—
455C2×D4—21no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—42no—
460C2×D4—42no—
461C2×D4C2×C4×D312yes—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—41no—
474C22×C4—41no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—61no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—61no—
482C22×C4C2×C4×D312yes—
483C22×C4#23512yes—
484C22×C4C2×#6711yescharacteristic
485C22×C4C2×#6711yescharacteristic
486C22×C4C2×#6711yescharacteristic
487C22×C4C2×#6711yescharacteristic
488C22×C4C2×#6711yescharacteristic
489C22×C4C23×D311yescharacteristic
490SD16—68no—
491M16—68no—
492M16—68no—
493C2×C8—32no—
494C2×C8—32no—
495C2×C8—32no—
496C2×C8—32no—
497C2×C8—32no—
498C2×C8—32no—
499C2×C8—61no—
500C2×C8—61no—
501C2×C8—61no—
502C2×C8—61no—
503C2×C8—61no—
504C2×C8—61no—
505C4⋊C4—21no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—21no—
509C4⋊C4—21no—
510C4⋊C4—32no—
511C4⋊C4—42no—
512C4⋊C4—64no—
513C4⋊C4—61no—
514C4⋊C4—61no—
515C4⋊C4—61no—
516C4⋊C4—61no—
517C4⋊C4—61no—
518C4⋊C4—122no—
519C4⋊C4—122no—
520C4⋊C4C2×C4×D312yes—
521C22⋊C4—24no—
522C22⋊C4—42no—
523C22⋊C4—42no—
524C22⋊C4—42no—
525C22⋊C4—42no—
526C22⋊C4—64no—
527C22⋊C4—122no—
528C42—22no—
529C42—22no—
530C42—21no—
531C42—21no—
532C42—42no—
533C42—122no—
534C42—122no—
535C42D3×D412yes—
536C42#23712yes—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—41no—
541C22×C3—41no—
542C22×C3—41no—
543C22×C3—41no—
544C22×C3—42no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—81no—
548C22×C3—81no—
549C22×C3—81no—
550C22×C3—81no—
551C22×C3C2×C4×D411yescharacteristic
552C22×C3C2×#12111yescharacteristic
553C22×C3#53211yescharacteristic
554C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
555C22×C3C2×#13711yescharacteristic
556C22×C3#57511yescharacteristic
557C22×C3#57511yescharacteristic
558C3×C4—22no—
559C3×C4—22no—
560C3×C4—22no—
561C3×C4—22no—
562C3×C4—22no—
563C3×C4—42no—
564C3×C4—81no—
565C3×C4—81no—
566C3×C4C2×C4×D411yescharacteristic
567C3×C4C4×#4111yescharacteristic
568C3×C4#52511yescharacteristic
569C3×C4#52911yescharacteristic
570Dic3—42no—
571Dic3—42no—
572Dic3—81no—
573Dic3—81no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—22no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23C4×#6712yes—
588C23C22×#6711yescharacteristic
589Q8—62no—
590Q8—62no—
591Q8—121no—
592Q8—121no—
593D4—22no—
594D4—22no—
595D4—48no—
596D4—41no—
597D4—41no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—44no—
614C2×C4—44no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—84no—
626C2×C4—121no—
627C2×C4—121no—
628C2×C4—121no—
629C2×C4—121no—
630C2×C4—121no—
631C2×C4—121no—
632C2×C4—121no—
633C2×C4—121no—
634C2×C4—121no—
635C2×C4—121no—
636C2×C4C4×#6712yes—
637C2×C4#93212yes—
638C2×C4#93912yes—
639C2×C4#93912yes—
640C2×C4#95112yes—
641C2×C4C22×C4×D311yescharacteristic
642C2×C4C2×#23511yescharacteristic
643C2×C4C2×D3×D411yescharacteristic
644C2×C4C2×#23711yescharacteristic
645C2×C4D3×#4111yescharacteristic
646C2×C4D3×#4111yescharacteristic
647C8—34no—
648C8—62no—
649C8—62no—
650C8—62no—
651C2×C3—42no—
652C2×C3—82no—
653C2×C3C4×#12111yescharacteristic
654C2×C3C4×AGL(1,ℤ/8)11yescharacteristic
655C2×C3C4×#13711yescharacteristic
656C2×C3#305511yescharacteristic
657C2×C3#305611yescharacteristic
658C2×C3#318211yescharacteristic
659C2×C3#318311yescharacteristic
660C22—22no—
661C22—22no—
662C22—22no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—41no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22—81no—
674C22C2×C4×#6711yescharacteristic
675C22C2×#93211yescharacteristic
676C22C2×#93911yescharacteristic
677C22#582211yescharacteristic
678C22#582211yescharacteristic
679C22C2×#95111yescharacteristic
680C22#583211yescharacteristic
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—22no—
686C4—42no—
687C4—81no—
688C4—81no—
689C4—122no—
690C4—122no—
691C4—241no—
692C4—241no—
693C4C4×#23711yescharacteristic
694C4#553811yescharacteristic
695C4C4×D3×D411yescharacteristic
696C4#554711yescharacteristic
697C3#2154011yescharacteristic, complemented, Sylow
698C2—42no—
699C2—82no—
700C2C4×#93211yescharacteristic
701C2C4×#93911yescharacteristic
702C2C4×#95111yescharacteristic
703C2#8262111yescharacteristic
704C2#8292511yescharacteristic
705C2#8313911yescharacteristic
706C2#8329411yescharacteristic
subgroupG/H
centerC23C22×#67
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×C4×#121C2
socleC23×C3C22×D4
prime radicalC2×C3×#121C22
cosocleC22×C3×C4C24
hypercenterC4×#121D3
hypocenterC3#21540
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
3. C2×#5018C2semidirect
4. C4×#924C2semidirect
5. C2×C4×#208C2semidirect
7. #71609C2semidirect
8. #69646C2semidirect
9. #69644C2semidirect
10. #69619C2semidirect
11. #69614C2semidirect
12. #69516C2semidirect
13. #69513C2semidirect
14. #69481C2semidirect
15. #69475C2semidirect
39. #5042C4semidirect
110. C2×#214C2×C4semidirect
115. #924C2×C4semidirect
126. C2×#208C2×C4semidirect
138. #832C2×C4semidirect
146. #810C2×C4semidirect
149. #807C2×C4semidirect
151. #803D4semidirect
444. C3⋊C8C4×D4semidirect
697. C3#21540semidirect

Maximal subgroups

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

subgroupindex
C3×C4×#1212
C2×#50422
C2×#50182
C4×#9242
C2×C4×#2082
#716822
#716092
#696462
#696442
#696192
#696142
#695162
#695132
#694812
#694752
#215403