Finite Group Databasebeta

← #10826348

Subgroups — #10826348

Order 768.

2084 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×#546C211yesmaximal, characteristic, complemented
2C22×#949C211yesmaximal, characteristic, complemented
3C2×#5217C212yesmaximal, complemented
4C2×#5036C211yesmaximal, characteristic, complemented
5#82403C211yesmaximal, characteristic, complemented
6#72135C211yesmaximal, characteristic, complemented
7#71728C212yesmaximal, complemented
8#71699C212yesmaximal, complemented
9#71682C211yesmaximal, characteristic, complemented
10#71613C212yesmaximal, complemented
11#71611C211yesmaximal, characteristic, complemented
12#23861—31nomaximal, Sylow
13C22×C3×#41C2211yescharacteristic
14C23×C3×D4C2211yescharacteristic, complemented
15C23×D12C2211yescharacteristic, complemented
16C3×#546—24no—
17C3×#546—24no—
18C2×C3×#124C2211yescharacteristic, complemented
19C2×C3×#123—21no—
20C2×C3×C22⋊Q8C2211yescharacteristic, complemented
21C2×C3×#121—21no—
22C2×C3×#121C2211yescharacteristic
23C2×C3×#120—21no—
24C2×C3×C4×D4C2211yescharacteristic
25C2×C3×C4×D4C2211yescharacteristic, complemented
26C22×C3×C22⋊C4—21no—
27C2×#949—24no—
28C2×#949—28no—
29C22×#215C2212yescomplemented
30C2×#937—21no—
31C22×#213C2212yes—
32C22×#213C2212yes—
33C2×#930C2212yes—
34C22×#208C2211yescharacteristic, complemented
35C2×#835C2212yescomplemented
36#5217—28no—
37C2×#832C2212yescomplemented
38C2×#832C2212yescomplemented
39#5212C2211yescharacteristic, complemented
40C2×#830C2212yescomplemented
41C2×#830C2211yescharacteristic, complemented
42#5036—24no—
43#4991—21no—
44C2×#809C2212yescomplemented
45#4960—21no—
46#4955—21no—
47#4939C2212yescomplemented
48#4529C2212yescomplemented
49#4524C2212yescomplemented
50C22×AGL(1,ℤ/8)—31no—
51C2×#546D311yescharacteristic, complemented
52C2×#447—32no—
53C2×#447—31no—
54#2408—31no—
55#2012—32no—
56#2000—32no—
57#1895—31no—
58#1879—32no—
59#1870—31no—
60#1788—31no—
61C25×C3—21no—
62C24×D3—21no—
63C2×C3×#41—22no—
64C2×C3×#41—24no—
65C2×C3×#41—42no—
66C2×C3×#41D414yescomplemented
67C22×C3×Q8C2311yescharacteristic
68C22×C3×D4—21no—
69C22×C3×D4—21no—
70C22×C3×D4—22no—
71C22×C3×D4—22no—
72C22×C3×D4—24no—
73C22×C3×D4—21no—
74C22×C3×D4—42no—
75C22×C3×D4D411yescharacteristic
76C22×C3×D4C2311yescharacteristic
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4—21no—
80C23×C3×C4C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×#67—22no—
83C22×D12—22no—
84C22×D12—24no—
85C22×D12—22no—
86C22×D12—21no—
87C22×D12—42no—
88C22×D12C2312yes—
89C3×#124—22no—
90C3×#124—22no—
91C3×#123—28no—
92C3×C22⋊Q8—22no—
93C3×C22⋊Q8—22no—
94C3×#121—28no—
95C3×#121—22no—
96C3×#121D414yescomplemented
97C3×#120—28no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4—22no—
101C3×C4×D4—22no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4D411yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C22⋊C4—28no—
106C2×C3×C22⋊C4—21no—
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
111C2×C3×C22⋊C4D411yescharacteristic
112C2×C3×C22⋊C4D411yescharacteristic
113C2×C3×C42C2311yescharacteristic
114C2×#217—21no—
115#949—232no—
116C2×#215—24no—
117C2×#215—24no—
118C2×#215—24no—
119#937—44no—
120C2×#213—24no—
121C2×#213—24no—
122C2×#213—24no—
123C2×#213—24no—
124C2×#213—42no—
125C2×#213D418yescomplemented
126#930—24no—
127#930—42no—
128C2×(C2×D3)⋊C4—22no—
129C2×(C2×D3)⋊C4—22no—
130C2×(C2×D3)⋊C4—22no—
131C2×C4⋊Dic3C2312yes—
132C2×#208—22no—
133C2×#208—24no—
134C22×C3⋊C8C2312yes—
135C22×C3⋊C8C2312yes—
136#835—42no—
137#832—24no—
138#832—24no—
139C3⋊#95—21no—
140#830—22no—
141#830—24no—
142#809—24no—
143C22×#41C2×D311yescharacteristic
144C23×D4—31no—
145C23×D4C2×D311yescharacteristic, complemented
146C2×AGL(1,ℤ/8)—68no—
147C2×AGL(1,ℤ/8)—64no—
148C22×SD16—32no—
149C22×D8—32no—
150C22×D8—32no—
151C22×M16—31no—
152#546—24no—
153#546—24no—
154C2×#124C2×D311yescharacteristic, complemented
155C2×#123—21no—
156C2×C22⋊Q8C2×D311yescharacteristic, complemented
157C2×#121—21no—
158C2×#121—32no—
159C2×#121C2×D311yescharacteristic
160C2×#120—21no—
161C2×#120—61no—
162C2×C4×D4C2×D311yescharacteristic
163C2×C4×D4C2×D311yescharacteristic, complemented
164C22×C22⋊C4—21no—
165#447—68no—
166#447—64no—
167C2×#103—32no—
168C2×#102—32no—
169C2×#102—32no—
170C2×#102—32no—
171C2×C22⋊C8—32no—
172C2×C22⋊C8—31no—
173#394—61no—
174#392—61no—
175#390—32no—
176#380—31no—
177#379—61no—
178#340—32no—
179#336—32no—
180C24×C3—21no—
181C24×C3—24no—
182C24×C3—21no—
183C24×C3—44no—
184C24×C3—42no—
185C24×C3—42no—
186C24×C3—82no—
187C24×C3C2×D411yescharacteristic
188C24×C3C2×D411yescharacteristic
189C23×D3—22no—
190C23×D3—44no—
191C23×D3—42no—
192C23×D3—42no—
193C23×D3—42no—
194C23×D3—82no—
195C3×#41—28no—
196C3×#41—44no—
197C3×#41—48no—
198C2×C3×Q8—21no—
199C2×C3×Q8—22no—
200C2×C3×Q8—22no—
201C2×C3×Q8C2×D412yes—
202C2×C3×D4—24no—
203C2×C3×D4—22no—
204C2×C3×D4—24no—
205C2×C3×D4—22no—
206C2×C3×D4—24no—
207C2×C3×D4—21no—
208C2×C3×D4—22no—
209C2×C3×D4—21no—
210C2×C3×D4—22no—
211C2×C3×D4—22no—
212C2×C3×D4—41no—
213C2×C3×D4—44no—
214C2×C3×D4—48no—
215C2×C3×D4—44no—
216C2×C3×D4—44no—
217C2×C3×D4—44no—
218C2×C3×D4—82no—
219C2×C3×D4C2×D414yes—
220C2×C3×D4C2×D412yes—
221C2×C3×D4C2×D412yes—
222C22×C3×C4—22no—
223C22×C3×C4—22no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—24no—
227C22×C3×C4—24no—
228C22×C3×C4—22no—
229C22×C3×C4—21no—
230C22×C3×C4—21no—
231C22×C3×C4—22no—
232C22×C3×C4—44no—
233C22×C3×C4—82no—
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2×D411yescharacteristic
238C22×C3×C4C2×D412yes—
239C22×C3×C4C2×D412yes—
240C22×C3×C4C2411yescharacteristic
241C2×#67—44no—
242C2×#67—44no—
243C2×#67—82no—
244C22×Dic3—22no—
245C2×D12—28no—
246C2×D12—22no—
247C2×D12—22no—
248C2×D12—22no—
249C2×D12—22no—
250C2×D12—22no—
251C2×D12—48no—
252C2×D12—44no—
253C2×D12—44no—
254C2×D12—42no—
255C2×D12C2×D414yes—
256C3×C4⋊C4—24no—
257C3×C4⋊C4—22no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4C2×D412yes—
260C3×C22⋊C4—24no—
261C3×C22⋊C4—24no—
262C3×C22⋊C4—24no—
263C3×C22⋊C4—24no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—24no—
267C3×C42—21no—
268C3×C42—21no—
269#217—42no—
270#215—216no—
271#213—216no—
272#213—48no—
273(C2×D3)⋊C4—44no—
274(C2×D3)⋊C4—44no—
275(C2×D3)⋊C4—82no—
276C4⋊Dic3—22no—
277C4⋊Dic3—22no—
278#208—28no—
279C2×C3⋊C8—22no—
280C2×C3⋊C8—22no—
281C2×C3⋊C8—22no—
282C2×C3⋊C8—22no—
283C2×C3⋊C8—22no—
284C2×C3⋊C8C2×D414yes—
285C25—21no—
286C25—61no—
287C2×#41—22no—
288C2×#41—24no—
289C2×#41—42no—
290C2×#41#6714yescomplemented
291C22×Q8C22×D311yescharacteristic
292C22×D4—21no—
293C22×D4—21no—
294C22×D4—22no—
295C22×D4—22no—
296C22×D4—24no—
297C22×D4—21no—
298C22×D4—32no—
299C22×D4—42no—
300C22×D4—64no—
301C22×D4—62no—
302C22×D4—62no—
303C22×D4—62no—
304C22×D4—61no—
305C22×D4—122no—
306C22×D4#6711yescharacteristic
307C22×D4C22×D311yescharacteristic
308C22×D4C22×D311yescharacteristic
309C23×C4—21no—
310C23×C4—21no—
311C23×C4C22×D311yescharacteristic
312C23×C4C22×D311yescharacteristic
313AGL(1,ℤ/8)—632no—
314C2×SD16—64no—
315C2×SD16—64no—
316C2×SD16—64no—
317C2×D8—38no—
318C2×D8—64no—
319C2×D8—64no—
320C2×D8—64no—
321C2×D8—64no—
322C2×D8—122no—
323C2×M16—64no—
324C2×M16—62no—
325C22×C8—32no—
326C22×C8—32no—
327#124—22no—
328#124—22no—
329#123—28no—
330C22⋊Q8—22no—
331C22⋊Q8—22no—
332#121—28no—
333#121—22no—
334#121—64no—
335#121—122no—
336#121#6714yescomplemented
337#120—28no—
338#120—124no—
339C4×D4—22no—
340C4×D4—22no—
341C4×D4—22no—
342C4×D4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—32no—
345C2×C4⋊C4#6711yescharacteristic
346C2×C4⋊C4C22×D311yescharacteristic
347C2×C22⋊C4—28no—
348C2×C22⋊C4—21no—
349C2×C22⋊C4—21no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—21no—
353C2×C22⋊C4—61no—
354C2×C22⋊C4—62no—
355C2×C22⋊C4—62no—
356C2×C22⋊C4—62no—
357C2×C22⋊C4#6711yescharacteristic
358C2×C22⋊C4#6711yescharacteristic
359C2×C42C22×D311yescharacteristic
360#103—122no—
361#102—64no—
362#102—64no—
363#102—64no—
364C22⋊C8—64no—
365C22⋊C8—62no—
366#95—61no—
367C23×C3—21no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—24no—
372C23×C3—21no—
373C23×C3—21no—
374C23×C3—21no—
375C23×C3—22no—
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—48no—
379C23×C3—48no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—42no—
383C23×C3—42no—
384C23×C3—41no—
385C23×C3—41no—
386C23×C3—42no—
387C23×C3—88no—
388C23×C3—84no—
389C23×C3—88no—
390C23×C3#12012yes—
391C23×C3AGL(1,ℤ/8)12yescomplemented
392C23×C3C22×D411yescharacteristic
393C22×D3—24no—
394C22×D3—48no—
395C22×D3—42no—
396C22×D3—42no—
397C22×D3—42no—
398C22×D3—42no—
399C22×D3—42no—
400C22×D3—42no—
401C22×D3—88no—
402C22×D3—88no—
403C22×D3—84no—
404C22×D3—84no—
405C3×Q8—22no—
406C3×Q8—22no—
407C3×Q8—42no—
408C3×D4—22no—
409C3×D4—24no—
410C3×D4—24no—
411C3×D4—44no—
412C3×D4—48no—
413C3×D4—48no—
414C3×D4—41no—
415C3×D4—41no—
416C3×D4—84no—
417C3×D4#12014yescomplemented
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—24no—
422C2×C3×C4—21no—
423C2×C3×C4—21no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—21no—
427C2×C3×C4—22no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—22no—
431C2×C3×C4—48no—
432C2×C3×C4—42no—
433C2×C3×C4—42no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—42no—
437C2×C3×C4—84no—
438C2×C3×C4#12012yes—
439C2×C3×C4C22×D412yes—
440C2×C3×C4C22×D411yescharacteristic
441C2×C3×C4C22×D411yescharacteristic
442C2×C3×C4H(5,𝔽2)12yes—
443#67—88no—
444C2×Dic3—42no—
445C2×Dic3—42no—
446C2×Dic3—42no—
447D12—24no—
448D12—24no—
449D12—48no—
450D12—42no—
451D12—42no—
452C3⋊C8—24no—
453C3⋊C8—42no—
454C24—21no—
455C24—24no—
456C24—21no—
457C24—44no—
458C24—42no—
459C24—42no—
460C24—62no—
461C24—82no—
462C24—124no—
463C24—122no—
464C24—122no—
465C24—122no—
466C24—242no—
467C24C2×#6711yescharacteristic
468C24C2×#6711yescharacteristic
469#41—28no—
470#41—44no—
471#41—48no—
472C2×Q8—21no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8C2×#6712yes—
476C2×D4—24no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—34no—
487C2×D4—41no—
488C2×D4—44no—
489C2×D4—48no—
490C2×D4—44no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—68no—
494C2×D4—62no—
495C2×D4—62no—
496C2×D4—62no—
497C2×D4—62no—
498C2×D4—62no—
499C2×D4—82no—
500C2×D4—128no—
501C2×D4—124no—
502C2×D4—124no—
503C2×D4—124no—
504C2×D4—124no—
505C2×D4—122no—
506C2×D4—242no—
507C2×D4D3×D414yes—
508C2×D4C2×#6712yes—
509C2×D4C2×#6712yes—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—44no—
521C22×C4—62no—
522C22×C4—82no—
523C22×C4C2×#6711yescharacteristic
524C22×C4C2×#6711yescharacteristic
525C22×C4C2×#6711yescharacteristic
526C22×C4C2×#6711yescharacteristic
527C22×C4C2×#6712yes—
528C22×C4C2×#6712yes—
529C22×C4C23×D311yescharacteristic
530SD16—616no—
531D8—616no—
532D8—128no—
533M16—68no—
534C2×C8—34no—
535C2×C8—62no—
536C2×C8—62no—
537C2×C8—62no—
538C2×C8—62no—
539C2×C8—62no—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—62no—
544C4⋊C4—62no—
545C4⋊C4C2×#6712yes—
546C22⋊C4—24no—
547C22⋊C4—24no—
548C22⋊C4—24no—
549C22⋊C4—24no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—24no—
553C22⋊C4—124no—
554C22⋊C4—124no—
555C22⋊C4—122no—
556C22⋊C4—242no—
557C42—21no—
558C42—21no—
559C22×C3—22no—
560C22×C3—24no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—22no—
564C22×C3—24no—
565C22×C3—41no—
566C22×C3—42no—
567C22×C3—42no—
568C22×C3—41no—
569C22×C3—42no—
570C22×C3—44no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—44no—
574C22×C3—42no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3—816no—
578C22×C3—82no—
579C22×C3—82no—
580C22×C3C2×#12011yescharacteristic
581C22×C3D4212yes—
582C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
583C22×C3#57511yescharacteristic
584C22×C3#57612yes—
585C2×D3—44no—
586C2×D3—44no—
587C2×D3—44no—
588C2×D3—816no—
589C2×D3—82no—
590C2×D3—82no—
591C2×D3—82no—
592C2×D3—82no—
593C3×C4—22no—
594C3×C4—41no—
595C3×C4—42no—
596C3×C4—41no—
597C3×C4—41no—
598C3×C4—42no—
599C3×C4C2×#12011yescharacteristic
600C3×C4#53411yescharacteristic
601C3×C4D4212yes—
602Dic3—82no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—22no—
610C23—22no—
611C23—21no—
612C23—22no—
613C23—22no—
614C23—48no—
615C23—48no—
616C23—41no—
617C23—41no—
618C23—42no—
619C23—42no—
620C23—41no—
621C23—41no—
622C23—42no—
623C23—64no—
624C23—88no—
625C23—84no—
626C23—88no—
627C23—128no—
628C23—122no—
629C23—122no—
630C23—122no—
631C23—122no—
632C23—122no—
633C23—122no—
634C23—244no—
635C23—244no—
636C23—248no—
637C23—248no—
638C23#94912yescomplemented
639C23#95312yes—
640C23C22×#6711yescharacteristic
641Q8—22no—
642Q8—22no—
643Q8—42no—
644D4—24no—
645D4—24no—
646D4—22no—
647D4—44no—
648D4—48no—
649D4—48no—
650D4—41no—
651D4—41no—
652D4—64no—
653D4—64no—
654D4—84no—
655D4—128no—
656D4—122no—
657D4—122no—
658D4—248no—
659D4#93714yescomplemented
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—48no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—84no—
680C2×C4—122no—
681C2×C4—122no—
682C2×C4—122no—
683C2×C4#95312yes—
684C2×C4C2×D3×D412yes—
685C2×C4#100412yes—
686C2×C4C22×#6711yescharacteristic
687C2×C4C22×#6711yescharacteristic
688C8—64no—
689C8—122no—
690C2×C3—42no—
691C2×C3—42no—
692C2×C3—44no—
693C2×C3—82no—
694C2×C3#240311yescharacteristic
695C2×C3#300611yescharacteristic
696C2×C3#300811yescharacteristic
697C2×C3#326412yes—
698C2×C3#327312yes—
699D3—84no—
700C22—24no—
701C22—22no—
702C22—24no—
703C22—22no—
704C22—22no—
705C22—22no—
706C22—42no—
707C22—44no—
708C22—42no—
709C22—42no—
710C22—44no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—816no—
719C22—82no—
720C22—82no—
721C22—124no—
722C22—124no—
723C22—124no—
724C22—2416no—
725C22—242no—
726C22—242no—
727C22—242no—
728C22—242no—
729C22D4×#6712yes—
730C22C2×#94911yescharacteristic
731C22#582211yescharacteristic
732C22#583512yes—
733C22C2×#95311yescharacteristic
734C4—22no—
735C4—41no—
736C4—42no—
737C4—41no—
738C4—41no—
739C4—42no—
740C4—242no—
741C4C2×#93711yescharacteristic
742C4D4×#6712yes—
743C4#580411yescharacteristic
744C3#2386111yescharacteristic, complemented, Sylow
745C2—42no—
746C2—42no—
747C2—44no—
748C2—82no—
749C2—244no—
750C2#8350212yes—
751C2#8350412yes—
752C2#8405211yescharacteristic
753C2#8408211yescharacteristic
754C2#8410111yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#546C2
socleC23×C3C22×D4
hypercenterC2×#546D3
hypocenterC3#23861
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C2×C3×#546C2semidirect
2. C22×#949C2semidirect
3. C2×#5217C2semidirect
4. C2×#5036C2semidirect
5. #82403C2semidirect
6. #72135C2semidirect
7. #71728C2semidirect
8. #71699C2semidirect
9. #71682C2semidirect
10. #71613C2semidirect
11. #71611C2semidirect
14. C23×C3×D4C22semidirect
15. C23×D12C22semidirect
18. C2×C3×#124C22semidirect
20. C2×C3×C22⋊Q8C22semidirect
25. C2×C3×C4×D4C22semidirect
29. C22×#215C22semidirect
34. C22×#208C22semidirect
35. C2×#835C22semidirect
37. C2×#832C22semidirect
38. C2×#832C22semidirect
39. #5212C22semidirect
40. C2×#830C22semidirect
41. C2×#830C22semidirect
44. C2×#809C22semidirect
47. #4939C22semidirect
48. #4529C22semidirect
49. #4524C22semidirect
51. C2×#546D3semidirect
66. C2×C3×#41D4semidirect
96. C3×#121D4semidirect
125. C2×#213D4semidirect
145. C23×D4C2×D3semidirect
154. C2×#124C2×D3semidirect
156. C2×C22⋊Q8C2×D3semidirect
163. C2×C4×D4C2×D3semidirect
290. C2×#41#67semidirect
336. #121#67semidirect
391. C23×C3AGL(1,ℤ/8)semidirect
417. C3×D4#120semidirect
638. C23#949semidirect
659. D4#937semidirect
744. C3#23861semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5462
C22×#9492
C2×#52172
C2×#50362
#824032
#721352
#717282
#716992
#716822
#716132
#716112
#238613