Finite Group Databasebeta

← #10729020

Subgroups — #10729020

Order 768.

4146 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C3×C22⋊C4C211yesmaximal, characteristic, complemented
2C22×#953C211yesmaximal, characteristic
3C22×#929C211yesmaximal, characteristic, complemented
4C2×#5247C211yesmaximal, characteristic, complemented
5C2×#5213C211yesmaximal, characteristic, complemented
6C2×#5211C211yesmaximal, characteristic, complemented
7#72127C211yesmaximal, characteristic, complemented
8#71550C214yesmaximal, complemented
9#71547C214yesmaximal, complemented
10#14911—31nomaximal, Sylow
11C26×C3C2211yescharacteristic
12C24×C3×C4C2211yescharacteristic
13C24×C3×C4C2211yescharacteristic
14C23×#67C2211yescharacteristic
15C23×#67C2212yes—
16C22×C3×C22⋊C4—24no—
17C22×C3×C22⋊C4—24no—
18C22×C3×C22⋊C4—24no—
19C22×C3×C22⋊C4C2214yes—
20C2×#953—24no—
21C2×#953—24no—
22C2×#953—24no—
23C22×#217C2212yes—
24C22×#217C2211yescharacteristic
25C22×#217C2214yes—
26C22×#217C2211yescharacteristic
27C22×#217C2211yescharacteristic
28C2×#929—24no—
29C2×#929—24no—
30C2×#929—24no—
31C22×(C2×D3)⋊C4C2212yescomplemented
32C22×(C2×D3)⋊C4C2212yescomplemented
33C22×Dic3⋊C4C2212yescomplemented
34#5247—24no—
35#5213—24no—
36#5211—24no—
37C2×C3⋊#95C2214yescomplemented
38C2×C3⋊#95C2212yescomplemented
39C2×C3⋊#95C2214yescomplemented
40C22×#123—31no—
41C22×#120—31no—
42C23×C22⋊C4D311yescharacteristic, complemented
43C2×#386—31no—
44C2×#381—31no—
45C2×#379—31no—
46#1439—34no—
47#1438—34no—
48C22⋊#95—31no—
49C25×C3—22no—
50C25×C3—22no—
51C25×C3—28no—
52C25×C3—22no—
53C25×C3—22no—
54C25×C3—22no—
55C25×C3—22no—
56C25×C3—44no—
57C25×C3D414yes—
58C25×C3C2312yes—
59C25×C3C2311yescharacteristic
60C24×D3C2311yescharacteristic
61C23×C3×C4—22no—
62C23×C3×C4—22no—
63C23×C3×C4—22no—
64C23×C3×C4—22no—
65C23×C3×C4—22no—
66C23×C3×C4—22no—
67C23×C3×C4—22no—
68C23×C3×C4—22no—
69C23×C3×C4—44no—
70C23×C3×C4D414yescomplemented
71C23×C3×C4D414yescomplemented
72C23×C3×C4C2312yes—
73C23×C3×C4C2312yes—
74C22×#67—22no—
75C22×#67—22no—
76C22×#67—22no—
77C22×#67—22no—
78C22×#67—24no—
79C22×#67—22no—
80C22×#67—22no—
81C22×#67—24no—
82C22×#67—28no—
83C22×#67—24no—
84C22×#67—44no—
85C22×#67D414yes—
86C23×Dic3C2312yes—
87C23×Dic3C2312yes—
88C23×Dic3C2311yescharacteristic
89C23×Dic3C2312yes—
90C2×C3×C22⋊C4—232no—
91C2×C3×C22⋊C4—28no—
92C2×C3×C22⋊C4—28no—
93C2×C3×C22⋊C4—28no—
94#953—232no—
95C2×#217—22no—
96C2×#217—22no—
97C2×#217—22no—
98C2×#217—24no—
99C2×#217—22no—
100C2×#217—24no—
101C2×#217—24no—
102C2×#217—22no—
103C2×#217—22no—
104C2×#217—22no—
105C2×#217—28no—
106C2×#217—28no—
107C2×#217—44no—
108C2×#217D414yes—
109C2×#217D414yescomplemented
110#929—232no—
111C2×(C2×D3)⋊C4—24no—
112C2×(C2×D3)⋊C4—24no—
113C2×(C2×D3)⋊C4—24no—
114C2×(C2×D3)⋊C4—24no—
115C2×(C2×D3)⋊C4—44no—
116C2×Dic3⋊C4—24no—
117C2×Dic3⋊C4—24no—
118C2×Dic3⋊C4—24no—
119C3⋊#95—24no—
120C3⋊#95—28no—
121C3⋊#95—44no—
122C26C2×D311yescharacteristic
123C23×D4—31no—
124C23×D4—32no—
125C24×C4C2×D311yescharacteristic
126C24×C4C2×D311yescharacteristic
127C2×#123—64no—
128C2×#123—64no—
129C2×#123—64no—
130C2×#120—64no—
131C2×#120—64no—
132C2×#120—64no—
133C22×C4⋊C4—32no—
134C22×C22⋊C4—24no—
135C22×C22⋊C4—24no—
136C22×C22⋊C4—24no—
137C22×C22⋊C4—31no—
138C22×C22⋊C4—31no—
139C22×C22⋊C4—32no—
140C22×C22⋊C4—31no—
141C22×C22⋊C4—32no—
142C22×C22⋊C4—34no—
143C22×C22⋊C4—32no—
144C22×C22⋊C4C2×D314yes—
145#386—64no—
146#381—64no—
147#379—64no—
148C2×#95—34no—
149C2×#95—32no—
150C2×#95—34no—
151C24×C3—24no—
152C24×C3—24no—
153C24×C3—216no—
154C24×C3—216no—
155C24×C3—28no—
156C24×C3—216no—
157C24×C3—22no—
158C24×C3—22no—
159C24×C3—22no—
160C24×C3—22no—
161C24×C3—22no—
162C24×C3—24no—
163C24×C3—22no—
164C24×C3—24no—
165C24×C3—24no—
166C24×C3—28no—
167C24×C3—28no—
168C24×C3—48no—
169C24×C3—416no—
170C24×C3—416no—
171C24×C3—416no—
172C24×C3—416no—
173C24×C3—48no—
174C24×C3—48no—
175C24×C3—44no—
176C24×C3—44no—
177C24×C3—44no—
178C24×C3—44no—
179C24×C3C2×D412yes—
180C24×C3C2×D412yes—
181C24×C3C2×D412yes—
182C24×C3C2×D414yes—
183C24×C3C2×D412yes—
184C24×C3C2×D412yes—
185C24×C3C2×D412yes—
186C24×C3#4118yes—
187C24×C3#4112yes—
188C24×C3C2411yescharacteristic
189C23×D3—21no—
190C23×D3—21no—
191C23×D3—21no—
192C23×D3—21no—
193C23×D3—21no—
194C23×D3—24no—
195C23×D3—21no—
196C23×D3—24no—
197C23×D3C2×D412yes—
198C22×C3×C4—28no—
199C22×C3×C4—28no—
200C22×C3×C4—28no—
201C22×C3×C4—28no—
202C22×C3×C4—22no—
203C22×C3×C4—22no—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—24no—
211C22×C3×C4—24no—
212C22×C3×C4—48no—
213C22×C3×C4—48no—
214C22×C3×C4—48no—
215C22×C3×C4—44no—
216C22×C3×C4—44no—
217C22×C3×C4—44no—
218C22×C3×C4—44no—
219C22×C3×C4C2×D414yes—
220C22×C3×C4C2×D414yes—
221C2×#67—216no—
222C2×#67—28no—
223C2×#67—28no—
224C2×#67—28no—
225C2×#67—416no—
226C2×#67—416no—
227C2×#67—48no—
228C2×#67—44no—
229C2×#67—44no—
230C2×#67—44no—
231C2×#67—48no—
232C2×#67—44no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—22no—
237C22×Dic3—22no—
238C22×Dic3—21no—
239C22×Dic3—22no—
240C22×Dic3—21no—
241C22×Dic3—22no—
242C22×Dic3—24no—
243C22×Dic3—24no—
244C22×Dic3—21no—
245C22×Dic3—24no—
246C22×Dic3—24no—
247C22×Dic3—22no—
248C22×Dic3—22no—
249C22×Dic3—22no—
250C22×Dic3—24no—
251C22×Dic3—24no—
252C22×Dic3C2×D414yes—
253C22×Dic3C2×D412yes—
254C22×Dic3C2×D414yes—
255C3×C22⋊C4—232no—
256#217—216no—
257#217—28no—
258#217—28no—
259#217—416no—
260#217—44no—
261(C2×D3)⋊C4—216no—
262(C2×D3)⋊C4—48no—
263Dic3⋊C4—216no—
264C25—28no—
265C25—22no—
266C25—22no—
267C25—22no—
268C25—22no—
269C25—22no—
270C25—22no—
271C25—31no—
272C25—44no—
273C25#6714yes—
274C25C22×D312yes—
275C25C22×D311yescharacteristic
276C22×D4—34no—
277C22×D4—64no—
278C22×D4—64no—
279C22×D4—62no—
280C22×D4—62no—
281C22×D4—62no—
282C22×D4—64no—
283C22×D4—62no—
284C22×D4—62no—
285C22×D4—62no—
286C22×D4—68no—
287C22×D4—124no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—22no—
291C23×C4—22no—
292C23×C4—22no—
293C23×C4—22no—
294C23×C4—22no—
295C23×C4—22no—
296C23×C4—32no—
297C23×C4—31no—
298C23×C4—32no—
299C23×C4—32no—
300C23×C4—44no—
301C23×C4#6714yescomplemented
302C23×C4#6714yescomplemented
303C23×C4C22×D312yes—
304C23×C4C22×D312yes—
305#123—632no—
306#120—632no—
307C2×C4⋊C4—64no—
308C2×C4⋊C4—64no—
309C2×C4⋊C4—64no—
310C2×C22⋊C4—232no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—28no—
314C2×C22⋊C4—34no—
315C2×C22⋊C4—34no—
316C2×C22⋊C4—64no—
317C2×C22⋊C4—64no—
318C2×C22⋊C4—64no—
319C2×C22⋊C4—64no—
320C2×C22⋊C4—62no—
321C2×C22⋊C4—62no—
322C2×C22⋊C4—64no—
323C2×C22⋊C4—62no—
324C2×C22⋊C4—62no—
325C2×C22⋊C4—64no—
326C2×C22⋊C4—68no—
327C2×C22⋊C4—68no—
328C2×C22⋊C4—62no—
329C2×C22⋊C4—62no—
330C2×C22⋊C4—62no—
331C2×C22⋊C4—64no—
332C2×C22⋊C4—124no—
333C2×C22⋊C4—124no—
334#95—68no—
335#95—64no—
336#95—124no—
337C23×C3—24no—
338C23×C3—24no—
339C23×C3—24no—
340C23×C3—24no—
341C23×C3—24no—
342C23×C3—24no—
343C23×C3—28no—
344C23×C3—28no—
345C23×C3—28no—
346C23×C3—28no—
347C23×C3—232no—
348C23×C3—24no—
349C23×C3—24no—
350C23×C3—24no—
351C23×C3—24no—
352C23×C3—28no—
353C23×C3—28no—
354C23×C3—24no—
355C23×C3—24no—
356C23×C3—28no—
357C23×C3—28no—
358C23×C3—28no—
359C23×C3—28no—
360C23×C3—432no—
361C23×C3—432no—
362C23×C3—416no—
363C23×C3—432no—
364C23×C3—432no—
365C23×C3—432no—
366C23×C3—432no—
367C23×C3—42no—
368C23×C3—42no—
369C23×C3—42no—
370C23×C3—42no—
371C23×C3—44no—
372C23×C3—44no—
373C23×C3—44no—
374C23×C3—44no—
375C23×C3—44no—
376C23×C3—44no—
377C23×C3—416no—
378C23×C3#12014yes—
379C23×C3#12014yes—
380C23×C3#12014yes—
381C23×C3#12114yes—
382C23×C3#12114yes—
383C23×C3#12114yes—
384C23×C3#12318yescomplemented
385C23×C3#12714yes—
386C23×C3C22×D411yescharacteristic
387C23×C3C22×D411yescharacteristic
388C23×C3C22×D411yescharacteristic
389C23×C3C22×D411yescharacteristic
390C23×C3C22×D411yescharacteristic
391C23×C3C22×D411yescharacteristic
392C23×C3C2×#4114yes—
393C23×C3C2×#4111yescharacteristic
394C23×C3H(5,𝔽2)14yes—
395C22×D3—22no—
396C22×D3—22no—
397C22×D3—22no—
398C22×D3—28no—
399C22×D3—41no—
400C22×D3—41no—
401C22×D3—41no—
402C22×D3—42no—
403C22×D3—42no—
404C22×D3—42no—
405C22×D3—41no—
406C22×D3—42no—
407C22×D3—42no—
408C22×D3—42no—
409C22×D3—44no—
410C22×D3—44no—
411C22×D3—44no—
412C2×C3×C4—24no—
413C2×C3×C4—24no—
414C2×C3×C4—24no—
415C2×C3×C4—24no—
416C2×C3×C4—24no—
417C2×C3×C4—24no—
418C2×C3×C4—416no—
419C2×C3×C4—42no—
420C2×C3×C4—42no—
421C2×C3×C4—42no—
422C2×C3×C4—42no—
423C2×C3×C4—44no—
424C2×C3×C4—44no—
425C2×C3×C4—416no—
426#67—432no—
427#67—416no—
428C2×Dic3—22no—
429C2×Dic3—24no—
430C2×Dic3—22no—
431C2×Dic3—24no—
432C2×Dic3—22no—
433C2×Dic3—28no—
434C2×Dic3—28no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—42no—
439C2×Dic3—42no—
440C2×Dic3—41no—
441C2×Dic3—42no—
442C2×Dic3—42no—
443C2×Dic3—44no—
444C2×Dic3—44no—
445C2×Dic3—42no—
446C2×Dic3—42no—
447C2×Dic3—42no—
448C2×Dic3—44no—
449C2×Dic3—44no—
450C24—24no—
451C24—24no—
452C24—216no—
453C24—216no—
454C24—216no—
455C24—28no—
456C24—24no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—24no—
462C24—24no—
463C24—22no—
464C24—22no—
465C24—28no—
466C24—28no—
467C24—32no—
468C24—48no—
469C24—416no—
470C24—416no—
471C24—416no—
472C24—416no—
473C24—48no—
474C24—48no—
475C24—44no—
476C24—44no—
477C24—44no—
478C24—44no—
479C24—64no—
480C24—61no—
481C24—61no—
482C24—61no—
483C24—64no—
484C24—61no—
485C24—61no—
486C24—61no—
487C24#23518yes—
488C24D3×D412yes—
489C24D3×D412yes—
490C24D3×D412yes—
491C24#23712yes—
492C24C2×#6714yes—
493C24C2×#6712yes—
494C24C2×#6712yes—
495C24C2×#6712yes—
496C24C23×D311yescharacteristic
497C2×D4—616no—
498C2×D4—68no—
499C2×D4—68no—
500C2×D4—68no—
501C2×D4—1216no—
502C2×D4—1216no—
503C2×D4—128no—
504C2×D4—128no—
505C2×D4—124no—
506C2×D4—124no—
507C2×D4—124no—
508C2×D4—124no—
509C22×C4—28no—
510C22×C4—28no—
511C22×C4—28no—
512C22×C4—28no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—24no—
518C22×C4—24no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—34no—
524C22×C4—34no—
525C22×C4—32no—
526C22×C4—48no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—64no—
534C22×C4—64no—
535C22×C4—62no—
536C22×C4—62no—
537C22×C4—61no—
538C22×C4—61no—
539C22×C4—61no—
540C22×C4—64no—
541C22×C4—64no—
542C22×C4—61no—
543C22×C4—62no—
544C22×C4—62no—
545C22×C4—61no—
546C22×C4—61no—
547C22×C4—64no—
548C22×C4—62no—
549C22×C4—62no—
550C22×C4—64no—
551C22×C4—62no—
552C22×C4C2×#6714yes—
553C22×C4C2×#6714yes—
554C4⋊C4—616no—
555C22⋊C4—232no—
556C22⋊C4—616no—
557C22⋊C4—616no—
558C22⋊C4—68no—
559C22⋊C4—68no—
560C22⋊C4—128no—
561C22⋊C4—1216no—
562C22⋊C4—124no—
563C22×C3—24no—
564C22×C3—24no—
565C22×C3—28no—
566C22×C3—28no—
567C22×C3—28no—
568C22×C3—28no—
569C22×C3—28no—
570C22×C3—28no—
571C22×C3—28no—
572C22×C3—28no—
573C22×C3—28no—
574C22×C3—464no—
575C22×C3—44no—
576C22×C3—44no—
577C22×C3—48no—
578C22×C3—44no—
579C22×C3—48no—
580C22×C3—44no—
581C22×C3—48no—
582C22×C3—48no—
583C22×C3#39218yes—
584C22×C3C2×#12011yescharacteristic
585C22×C3C2×#12011yescharacteristic
586C22×C3C2×#12011yescharacteristic
587C22×C3C2×#12111yescharacteristic
588C22×C3C2×#12111yescharacteristic
589C22×C3C2×#12111yescharacteristic
590C22×C3C2×#12312yes—
591C22×C3#52512yes—
592C22×C3#52512yes—
593C22×C3C2×#12711yescharacteristic
594C22×C3#53412yes—
595C22×C3#53412yes—
596C22×C3#53512yes—
597C22×C3#54614yes—
598C22×C3#54614yes—
599C22×C3#54614yes—
600C22×C3#55114yes—
601C2×D3—42no—
602C2×D3—44no—
603C2×D3—44no—
604C2×D3—44no—
605C2×D3—81no—
606C2×D3—81no—
607C2×D3—82no—
608C2×D3—82no—
609C2×D3—82no—
610C3×C4—44no—
611C3×C4—44no—
612Dic3—42no—
613Dic3—44no—
614Dic3—44no—
615Dic3—82no—
616C23—28no—
617C23—28no—
618C23—28no—
619C23—28no—
620C23—24no—
621C23—24no—
622C23—24no—
623C23—24no—
624C23—24no—
625C23—24no—
626C23—232no—
627C23—28no—
628C23—28no—
629C23—28no—
630C23—28no—
631C23—24no—
632C23—28no—
633C23—28no—
634C23—24no—
635C23—24no—
636C23—24no—
637C23—24no—
638C23—24no—
639C23—432no—
640C23—432no—
641C23—416no—
642C23—432no—
643C23—432no—
644C23—432no—
645C23—432no—
646C23—416no—
647C23—44no—
648C23—44no—
649C23—44no—
650C23—44no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—42no—
655C23—44no—
656C23—44no—
657C23—68no—
658C23—62no—
659C23—62no—
660C23—62no—
661C23—124no—
662C23—124no—
663C23—124no—
664C23—122no—
665C23—122no—
666C23—122no—
667C23—121no—
668C23—121no—
669C23—121no—
670C23—122no—
671C23—122no—
672C23—122no—
673C23—121no—
674C23#92918yescomplemented
675C23#93714yes—
676C23#93714yes—
677C23#93814yes—
678C23#93914yes—
679C23#93914yes—
680C23#94014yes—
681C23#95314yes—
682C23C2×#23514yes—
683C23C2×D3×D411yescharacteristic
684C23C2×D3×D411yescharacteristic
685C23C2×D3×D411yescharacteristic
686C23C2×#23711yescharacteristic
687C23#100414yes—
688C23C22×#6711yescharacteristic
689C23C22×#6711yescharacteristic
690C23C22×#6711yescharacteristic
691D4—1232no—
692D4—1216no—
693C2×C4—24no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—416no—
700C2×C4—416no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—68no—
708C2×C4—68no—
709C2×C4—64no—
710C2×C4—62no—
711C2×C4—64no—
712C2×C4—62no—
713C2×C4—62no—
714C2×C4—124no—
715C2×C4—124no—
716C2×C4—122no—
717C2×C4—122no—
718C2×C4—121no—
719C2×C4—121no—
720C2×C4—121no—
721C2×C4—122no—
722C2×C4—122no—
723C2×C4—121no—
724C2×C4—124no—
725C2×C4—124no—
726C2×C4—122no—
727C2×C4—122no—
728C2×C4—122no—
729C2×C3—28no—
730C2×C3—48no—
731C2×C3C2×#39211yescharacteristic
732C2×C3#240412yes—
733C2×C3#240512yes—
734C2×C3#241112yes—
735C2×C3#241212yes—
736C2×C3#253412yes—
737C2×C3#253912yes—
738C2×C3#261311yescharacteristic
739C2×C3#284911yescharacteristic
740D3—82no—
741C22—24no—
742C22—24no—
743C22—28no—
744C22—28no—
745C22—28no—
746C22—28no—
747C22—28no—
748C22—28no—
749C22—28no—
750C22—28no—
751C22—28no—
752C22—464no—
753C22—44no—
754C22—44no—
755C22—48no—
756C22—44no—
757C22—48no—
758C22—48no—
759C22—44no—
760C22—48no—
761C22—122no—
762C22—124no—
763C22—124no—
764C22—124no—
765C22—241no—
766C22—241no—
767C22—242no—
768C22—242no—
769C22—242no—
770C22#522318yes—
771C22#549014yes—
772C22#549014yes—
773C22#549014yes—
774C22#549514yes—
775C22C2×#92912yes—
776C22#579112yes—
777C22#579112yes—
778C22C2×#93711yescharacteristic
779C22C2×#93711yescharacteristic
780C22C2×#93811yescharacteristic
781C22C2×#93911yescharacteristic
782C22C2×#93911yescharacteristic
783C22C2×#94011yescharacteristic
784C22#580412yes—
785C22#580412yes—
786C22#580512yes—
787C22C2×#95311yescharacteristic
788C4—44no—
789C4—44no—
790C4—122no—
791C4—124no—
792C4—124no—
793C4—242no—
794C3#1491111yescharacteristic, complemented, Sylow
795C2—28no—
796C2—48no—
797C2—242no—
798C2#8210612yes—
799C2#8210712yes—
800C2#8211512yes—
801C2#8212512yes—
802C2#8212612yes—
803C2#8212912yes—
804C2#8403311yescharacteristic
805C2C2×#522311yescharacteristic
806C2#8405411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC23×C3×C22⋊C4C2
prime radicalC22×#953C2
hypercenterC23×C22⋊C4D3
hypocenterC3#14911
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ C23×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C23×C3×C22⋊C4C2semidirect
3. C22×#929C2semidirect
4. C2×#5247C2semidirect
5. C2×#5213C2semidirect
6. C2×#5211C2semidirect
7. #72127C2semidirect
8. #71550C2semidirect
9. #71547C2semidirect
31. C22×(C2×D3)⋊C4C22semidirect
32. C22×(C2×D3)⋊C4C22semidirect
33. C22×Dic3⋊C4C22semidirect
37. C2×C3⋊#95C22semidirect
38. C2×C3⋊#95C22semidirect
39. C2×C3⋊#95C22semidirect
42. C23×C22⋊C4D3semidirect
70. C23×C3×C4D4semidirect
71. C23×C3×C4D4semidirect
109. C2×#217D4semidirect
301. C23×C4#67semidirect
302. C23×C4#67semidirect
384. C23×C3#123semidirect
674. C23#929semidirect
794. C3#14911semidirect

Maximal subgroups

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

subgroupindex
C23×C3×C22⋊C42
C22×#9532
C22×#9292
C2×#52472
C2×#52132
C2×#52112
#721272
#715502
#715472
#149113