Finite Group Databasebeta

← #10801913

Subgroups — #10801913

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
1C2×C3×#468C211yesmaximal, characteristic
2C2×#5164C211yesmaximal, characteristic, complemented
3C2×Dic3×M16C211yesmaximal, characteristic, complemented
4Dic3×C22⋊Q8C211yesmaximal, characteristic, complemented
5Dic3×#121C211yesmaximal, characteristic
6#72049C211yesmaximal, characteristic, complemented
7#71988C211yesmaximal, characteristic, complemented
8#71697C211yesmaximal, characteristic, complemented
9#71682C211yesmaximal, characteristic
10#70612C211yesmaximal, characteristic, complemented
11#70605C211yesmaximal, characteristic, complemented
12#70253C211yesmaximal, characteristic, complemented
13#70220C211yesmaximal, characteristic, complemented
14#70185C211yesmaximal, characteristic, complemented
15#70152C211yesmaximal, characteristic, complemented
16#21540—31nomaximal, Sylow
17C22×C3×SD16C2211yescharacteristic
18C22×C3×M16C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×Q8×Dic3C2211yescharacteristic
22C2×D4×Dic3—21no—
23C2×D4×Dic3C2211yescharacteristic
24C22×C4×Dic3C2211yescharacteristic
25C22×#208C2211yescharacteristic
26C3×#468C418yescomplemented
27C2×C3×#107C2211yescharacteristic
28C2×C3×#103C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30#5229C2211yescharacteristic
31C2×#835C2211yescharacteristic
32C2×#835C2211yescharacteristic
33#5221C2211yescharacteristic
34#5220—21no—
35C2×#832C2211yescharacteristic
36C2×#832C2211yescharacteristic
37#5212C2211yescharacteristic
38#5212C2211yescharacteristic
39#5164—24no—
40Dic3×M16—24no—
41C2×#818C2211yescharacteristic
42C2×#817C2211yescharacteristic
43C2×#815C2211yescharacteristic
44C2×#815C2211yescharacteristic
45C2×C8×Dic3C2211yescharacteristic
46C2×C8×Dic3C2211yescharacteristic
47#4984C2211yescharacteristic
48#4984C2211yescharacteristic
49#4980—21no—
50Dic3×C4⋊C4—21no—
51Dic3×C4⋊C4C2211yescharacteristic
52Dic3×C4⋊C4C2211yescharacteristic
53#4951—21no—
54#4950—21no—
55Dic3×C22⋊C4—21no—
56Dic3×C22⋊C4—21no—
57#4551C2211yescharacteristic
58#4551C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63C2×#468D311yescharacteristic
64C2×#440—31no—
65C2×C4×M16—31no—
66C4×C22⋊Q8—31no—
67C4×#121—31no—
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×Q8C2311yescharacteristic
79C22×C3×D4—21no—
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C23×Dic3—21no—
83C23×Dic3D411yescharacteristic
84C23×Dic3D411yescharacteristic
85C2×C3×SD16—22no—
86C2×C3×SD16—22no—
87C2×C3×SD16C2×C414yescomplemented
88C2×C3×M16—22no—
89C2×C3×M16—22no—
90C2×C3×M16C2×C414yescomplemented
91C22×C3×C8C2311yescharacteristic
92C22×C3×C8C2311yescharacteristic
93C3×C22⋊Q8—22no—
94C3×C22⋊Q8C2×C414yescomplemented
95C3×#121—22no—
96C3×#121C2×C414yes—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C4⋊C4C2311yescharacteristic
100C2×C3×C22⋊C4—21no—
101C2×C3×C22⋊C4—21no—
102C2×#217—21no—
103C2×#217—21no—
104C2×#217—21no—
105C2×#217—21no—
106C2×#217—21no—
107Q8×Dic3—22no—
108Q8×Dic3—22no—
109D4×Dic3—22no—
110D4×Dic3—22no—
111D4×Dic3—44no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3—21no—
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4×Dic3—22no—
120C2×C4×Dic3—22no—
121C2×C4×Dic3—21no—
122C2×C4×Dic3—21no—
123C2×C4×Dic3—21no—
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3D411yescharacteristic
126C2×C4×Dic3C2311yescharacteristic
127C2×C4×Dic3C2311yescharacteristic
128C2×#208—22no—
129C2×#208—22no—
130C2×#208—22no—
131C22×C3⋊C8C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133C3×#107C2×C414yescomplemented
134C3×#103C2×C414yescomplemented
135C3×#102C2×C414yescomplemented
136#835—22no—
137#835—22no—
138#832—22no—
139#832—22no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145C3⋊#95—21no—
146C3⋊#95—21no—
147C3⋊#95—21no—
148#818—22no—
149#817—22no—
150#815—22no—
151#815D414yescomplemented
152C8×Dic3—22no—
153C8×Dic3—22no—
154C22×SD16C2×D311yescharacteristic
155C22×M16—31no—
156C22×M16C2×D311yescharacteristic
157C2×C22⋊Q8C2×D311yescharacteristic
158C2×#121C2×D311yescharacteristic
159C2×C4×Q8—31no—
160C2×C4×D4—31no—
161C2×C4×D4—61no—
162C22×C42—31no—
163#468Dic318yescomplemented
164#440—64no—
165C2×#107—31no—
166C2×#107C2×D311yescharacteristic
167C2×#106—31no—
168C2×#103—31no—
169C2×#103—31no—
170C2×#103C2×D311yescharacteristic
171C2×#102—31no—
172C2×#102—31no—
173C2×#102C2×D311yescharacteristic
174C4×M16—64no—
175C2×#97—31no—
176C2×#97—31no—
177C2×C4×C8—31no—
178C2×C4×C8—31no—
179#391—31no—
180#390—31no—
181#389—31no—
182#389—31no—
183#388—61no—
184#387—61no—
185#386—61no—
186#385—61no—
187#380—31no—
188#380—31no—
189C4×C4⋊C4—31no—
190C4×C4⋊C4—31no—
191C4×C4⋊C4—61no—
192C4×C22⋊C4—61no—
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×Q8—21no—
203C2×C3×Q8—21no—
204C2×C3×Q8—21no—
205C2×C3×Q8—21no—
206C2×C3×Q8—21no—
207C2×C3×Q8C22×C412yes—
208C2×C3×D4—24no—
209C2×C3×D4—21no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—42no—
215C2×C3×D4—42no—
216C2×C3×D4C22×C412yes—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4C22×C412yes—
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4#4112yes—
227C22×C3×C4C2411yescharacteristic
228C22×Dic3—22no—
229C22×Dic3—22no—
230C22×Dic3—22no—
231C22×Dic3—22no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—41no—
237C22×Dic3—41no—
238C22×Dic3—42no—
239C22×Dic3—42no—
240C22×Dic3—42no—
241C22×Dic3C2×D411yescharacteristic
242C22×Dic3C2×D411yescharacteristic
243C22×Dic3C2×D411yescharacteristic
244C22×Dic3C2×D411yescharacteristic
245C3×SD16—28no—
246C3×M16—28no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8C22×C412yes—
250C2×C3×C8C22×C412yes—
251C2×C3×C8C2×D412yes—
252C2×C3×C8#4112yes—
253C3×C4⋊C4—24no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4C22×C412yes—
257C3×C4⋊C4C22×C412yes—
258C3×C22⋊C4—24no—
259C3×C22⋊C4—24no—
260#217—42no—
261#217—42no—
262#217—42no—
263#217—42no—
264#217—42no—
265C4⋊Dic3—21no—
266C4⋊Dic3—21no—
267C4⋊Dic3—21no—
268C4⋊Dic3—21no—
269C4⋊Dic3—21no—
270C4⋊Dic3—21no—
271C4⋊Dic3—21no—
272C4⋊Dic3—21no—
273C4⋊Dic3—42no—
274C4⋊Dic3—42no—
275C4⋊Dic3—42no—
276C4×Dic3—21no—
277C4×Dic3—21no—
278C4×Dic3—22no—
279C4×Dic3—22no—
280C4×Dic3—42no—
281C4×Dic3—42no—
282C4×Dic3—42no—
283C4×Dic3C2×D412yes—
284C4×Dic3#4112yes—
285#208—28no—
286C2×C3⋊C8—21no—
287C2×C3⋊C8—21no—
288C2×C3⋊C8—21no—
289C2×C3⋊C8—21no—
290C2×C3⋊C8C2×D412yes—
291C2×C3⋊C8#4112yes—
292C22×Q8C22×D311yescharacteristic
293C22×D4—21no—
294C22×D4C22×D311yescharacteristic
295C23×C4—31no—
296C23×C4—31no—
297C23×C4—61no—
298C23×C4C22×D311yescharacteristic
299C2×SD16—22no—
300C2×SD16—22no—
301C2×SD16C2×Dic314yescomplemented
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—62no—
305C2×M16—62no—
306C2×M16—62no—
307C2×M16C2×Dic314yescomplemented
308C22×C8—31no—
309C22×C8—31no—
310C22×C8C22×D311yescharacteristic
311C22×C8C22×D311yescharacteristic
312C22⋊Q8—22no—
313C22⋊Q8C2×Dic314yescomplemented
314#121—22no—
315#121C2×Dic314yes—
316C4×Q8—62no—
317C4×Q8—62no—
318C4×D4—62no—
319C4×D4—62no—
320C4×D4—124no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—61no—
327C2×C4⋊C4—61no—
328C2×C4⋊C4—61no—
329C2×C4⋊C4C22×D311yescharacteristic
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C22⋊C4—61no—
336C2×C22⋊C4—61no—
337C2×C22⋊C4—61no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—31no—
341C2×C42—31no—
342C2×C42—62no—
343C2×C42—62no—
344C2×C42—61no—
345C2×C42—61no—
346C2×C42—61no—
347#107—62no—
348#107C2×Dic314yescomplemented
349#106—62no—
350#103—62no—
351#103—62no—
352#103C2×Dic314yescomplemented
353#102—62no—
354#102—62no—
355#102C2×Dic314yescomplemented
356#97—34no—
357#97—62no—
358C4×C8—62no—
359C4×C8—62no—
360#95—61no—
361#95—61no—
362#95—61no—
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×Q8—22no—
384C3×Q8—22no—
385C3×Q8—41no—
386C3×Q8—41no—
387C3×D4—22no—
388C3×D4—22no—
389C3×D4—48no—
390C3×D4—41no—
391C3×D4—41no—
392C2×C3×C4—21no—
393C2×C3×C4—21no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4C4×D412yes—
408C2×C3×C4C23×C411yescharacteristic
409C2×C3×C4C22×D411yescharacteristic
410C2×C3×C4C2×#4111yescharacteristic
411C2×C3×C4C2×#4111yescharacteristic
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—21no—
417C2×Dic3—21no—
418C2×Dic3—21no—
419C2×Dic3—21no—
420C2×Dic3—21no—
421C2×Dic3—21no—
422C2×Dic3—44no—
423C2×Dic3—44no—
424C2×Dic3—41no—
425C2×Dic3—41no—
426C2×Dic3—41no—
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—84no—
437C2×Dic3#12112yes—
438C2×Dic3#12112yes—
439C2×Dic3AGL(1,ℤ/8)12yes—
440C2×Dic3#13712yes—
441C3×C8—22no—
442C3×C8C4×D414yescomplemented
443C3⋊C8—22no—
444C3⋊C8—22no—
445C24—21no—
446C24D3×D411yescharacteristic
447C2×Q8—21no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—21no—
452C2×Q8C22×Dic312yes—
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×D4C22×Dic312yes—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—31no—
470C22×C4—31no—
471C22×C4—31no—
472C22×C4—31no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—61no—
478C22×C4—61no—
479C22×C4—61no—
480C22×C4—61no—
481C22×C4—122no—
482C22×C4—121no—
483C22×C4—121no—
484C22×C4—122no—
485C22×C4—122no—
486C22×C4D3×D411yescharacteristic
487C22×C4#23712yes—
488C22×C4C22×Dic312yes—
489C22×C4C23×D311yescharacteristic
490SD16—28no—
491M16—28no—
492M16—68no—
493C2×C8—21no—
494C2×C8—21no—
495C2×C8—32no—
496C2×C8—32no—
497C2×C8—61no—
498C2×C8—61no—
499C2×C8—61no—
500C2×C8—61no—
501C2×C8D3×D412yes—
502C2×C8#23712yes—
503C2×C8C22×Dic312yes—
504C2×C8C22×Dic312yes—
505C4⋊C4—24no—
506C4⋊C4—21no—
507C4⋊C4—21no—
508C4⋊C4—61no—
509C4⋊C4—61no—
510C4⋊C4—61no—
511C4⋊C4—61no—
512C4⋊C4—61no—
513C4⋊C4—61no—
514C4⋊C4—61no—
515C4⋊C4—61no—
516C4⋊C4—122no—
517C4⋊C4—122no—
518C4⋊C4—122no—
519C4⋊C4C22×Dic312yes—
520C4⋊C4C22×Dic312yes—
521C22⋊C4—24no—
522C22⋊C4—24no—
523C22⋊C4—122no—
524C22⋊C4—122no—
525C22⋊C4—122no—
526C22⋊C4—122no—
527C22⋊C4—122no—
528C42—32no—
529C42—32no—
530C42—62no—
531C42—62no—
532C42—61no—
533C42—61no—
534C42—122no—
535C42—122no—
536C42—122no—
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—42no—
560C3×C4—42no—
561C3×C4—42no—
562C3×C4C2×C4×D411yescharacteristic
563C3×C4C4×#4111yescharacteristic
564C3×C4#52511yescharacteristic
565C3×C4#52911yescharacteristic
566Dic3—22no—
567Dic3—22no—
568Dic3—22no—
569Dic3—22no—
570Dic3—81no—
571Dic3—81no—
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—
587C23D4×Dic312yes—
588C23C2×D3×D411yescharacteristic
589Q8—22no—
590Q8—22no—
591Q8—41no—
592Q8—41no—
593D4—22no—
594D4—22no—
595D4—48no—
596D4—41no—
597D4—41no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—32no—
610C2×C4—32no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—61no—
618C2×C4—61no—
619C2×C4—61no—
620C2×C4—61no—
621C2×C4—61no—
622C2×C4—61no—
623C2×C4—61no—
624C2×C4—61no—
625C2×C4—124no—
626C2×C4—124no—
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×C4—121no—
637C2×C4—121no—
638C2×C4—121no—
639C2×C4—244no—
640C2×C4D4×Dic312yes—
641C2×C4C2×D3×D411yescharacteristic
642C2×C4C2×#23711yescharacteristic
643C2×C4C2×#23711yescharacteristic
644C2×C4D3×#4111yescharacteristic
645C2×C4D3×#4111yescharacteristic
646C2×C4C23×Dic311yescharacteristic
647C8—22no—
648C8—62no—
649C8—62no—
650C8D4×Dic314yescomplemented
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—
674C22#559611yescharacteristic
675C22D3×#12111yescharacteristic
676C22D3×AGL(1,ℤ/8)11yescharacteristic
677C22#577311yescharacteristic
678C22D3×#13711yescharacteristic
679C22#577711yescharacteristic
680C22C2×D4×Dic311yescharacteristic
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—62no—
686C4—62no—
687C4—62no—
688C4—62no—
689C4—241no—
690C4—241no—
691C4—241no—
692C4—241no—
693C4#560011yescharacteristic
694C4#560611yescharacteristic
695C4C2×D4×Dic311yescharacteristic
696C4Dic3×#4111yescharacteristic
697C3#2154011yescharacteristic, complemented, Sylow
698C2—42no—
699C2—82no—
700C2#8079011yescharacteristic
701C2#8079111yescharacteristic
702C2#8080511yescharacteristic
703C2#8080611yescharacteristic
704C2Dic3×#12111yescharacteristic
705C2Dic3×AGL(1,ℤ/8)11yescharacteristic
706C2Dic3×#13711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC2×C3×#468C2
socleC23×C3C22×D4
prime radicalC2×C3×#121C22
cosocleC22×C3×C4C24
hypercenterC2×#468D3
hypocenterC3#21540
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#468

Complements

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

NH ≅ G/Ntype
2. C2×#5164C2semidirect
3. C2×Dic3×M16C2semidirect
4. Dic3×C22⋊Q8C2semidirect
6. #72049C2semidirect
7. #71988C2semidirect
8. #71697C2semidirect
10. #70612C2semidirect
11. #70605C2semidirect
12. #70253C2semidirect
13. #70220C2semidirect
14. #70185C2semidirect
15. #70152C2semidirect
26. C3×#468C4semidirect
87. C2×C3×SD16C2×C4semidirect
90. C2×C3×M16C2×C4semidirect
94. C3×C22⋊Q8C2×C4semidirect
133. C3×#107C2×C4semidirect
134. C3×#103C2×C4semidirect
135. C3×#102C2×C4semidirect
151. #815D4semidirect
163. #468Dic3semidirect
301. C2×SD16C2×Dic3semidirect
307. C2×M16C2×Dic3semidirect
313. C22⋊Q8C2×Dic3semidirect
348. #107C2×Dic3semidirect
352. #103C2×Dic3semidirect
355. #102C2×Dic3semidirect
442. C3×C8C4×D4semidirect
650. C8D4×Dic3semidirect
697. C3#21540semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#4682
C2×#51642
C2×Dic3×M162
Dic3×C22⋊Q82
Dic3×#1212
#720492
#719882
#716972
#716822
#706122
#706052
#702532
#702202
#701852
#701522
#215403