Finite Group Databasebeta

← #10718663

Subgroups — #10718663

Order 768.

3422 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#127C211yesmaximal, characteristic
2C22×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×#5221C211yesmaximal, characteristic, complemented
4C2×#5221C211yesmaximal, characteristic, complemented
5C2×#5221C211yesmaximal, characteristic, complemented
6C2×#5220C214yesmaximal, complemented
7#72131C214yesmaximal, complemented
8#71535C211yesmaximal, characteristic, complemented
9C4×C3⋊#95C211yesmaximal, characteristic, complemented
10#14025—31nomaximal, Sylow
11C23×C3×D4C2211yescharacteristic
12C23×C3×D4C2214yes—
13C23×C3×D4C2211yescharacteristic
14C24×Dic3C2212yes—
15C2×C3×#127—24no—
16C2×C3×#127—24no—
17C2×C3×#127C418yescomplemented
18C22×C3×C42C2211yescharacteristic
19C22×#217C2212yes—
20C22×#217C2212yes—
21C22×#217C2214yes—
22C22×#217C2214yes—
23C22×#217C2212yes—
24C2×D4×Dic3—24no—
25C2×D4×Dic3—24no—
26C2×D4×Dic3—24no—
27C22×C4⋊Dic3C2211yescharacteristic
28C22×C4⋊Dic3C2211yescharacteristic
29C22×C4×Dic3C2211yescharacteristic
30C22×C4×Dic3C2211yescharacteristic
31#5221—24no—
32#5221—24no—
33#5221—24no—
34#5220—216no—
35C2×C3⋊#95C2214yes—
36C2×C3⋊#95C2212yes—
37C2×C3⋊#95C2212yes—
38C22×#127D311yescharacteristic
39C22×C4×D4—31no—
40C2×#390—31no—
41C2×#390—31no—
42C2×#390—31no—
43C2×#386—34no—
44#1438—34no—
45C4⋊#95—31no—
46C4×#95—31no—
47C25×C3C2312yes—
48C25×C3C2312yes—
49C22×C3×D4—28no—
50C22×C3×D4—28no—
51C22×C3×D4—22no—
52C22×C3×D4—22no—
53C22×C3×D4—28no—
54C22×C3×D4—22no—
55C22×C3×D4—22no—
56C22×C3×D4—22no—
57C22×C3×D4—22no—
58C22×C3×D4—22no—
59C22×C3×D4—22no—
60C22×C3×D4—28no—
61C22×C3×D4—22no—
62C22×C3×D4—22no—
63C22×C3×D4—44no—
64C22×C3×D4—44no—
65C22×C3×D4C2×C414yes—
66C22×C3×D4C2×C414yescomplemented
67C22×C3×D4C2×C4116yescomplemented
68C22×C3×D4D414yes—
69C22×C3×D4D414yes—
70C23×C3×C4C2312yes—
71C23×C3×C4C2311yescharacteristic
72C23×Dic3—24no—
73C23×Dic3—24no—
74C23×Dic3—24no—
75C23×Dic3—28no—
76C23×Dic3—44no—
77C23×Dic3C2312yes—
78C23×Dic3C2312yes—
79C23×Dic3C2311yescharacteristic
80C23×Dic3C2312yes—
81C23×Dic3C2311yescharacteristic
82C3×#127—232no—
83C2×C3×C42—22no—
84C2×C3×C42—22no—
85C2×C3×C42C2×C414yescomplemented
86C2×#217—24no—
87C2×#217—24no—
88C2×#217—24no—
89C2×#217—28no—
90C2×#217—28no—
91C2×#217—28no—
92C2×#217—28no—
93C2×#217—28no—
94C2×#217—24no—
95C2×#217—24no—
96C2×#217—44no—
97C2×#217—44no—
98C2×#217—44no—
99D4×Dic3—232no—
100C2×C4⋊Dic3—22no—
101C2×C4⋊Dic3—22no—
102C2×C4⋊Dic3—22no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3—22no—
105C2×C4⋊Dic3D414yescomplemented
106C2×C4×Dic3—22no—
107C2×C4×Dic3—22no—
108C2×C4×Dic3—22no—
109C2×C4×Dic3—22no—
110C2×C4×Dic3—22no—
111C2×C4×Dic3D414yescomplemented
112C3⋊#95—28no—
113C3⋊#95—24no—
114C3⋊#95D418yescomplemented
115C23×D4C2×D311yescharacteristic
116C23×D4C2×D314yes—
117C23×D4C2×D311yescharacteristic
118C24×C4—32no—
119C2×#127—24no—
120C2×#127—24no—
121C2×#127Dic318yescomplemented
122C2×C4×D4—64no—
123C2×C4×D4—64no—
124C2×C4×D4—64no—
125C22×C4⋊C4—31no—
126C22×C4⋊C4—31no—
127C22×C22⋊C4—32no—
128C22×C22⋊C4—32no—
129C22×C22⋊C4—34no—
130C22×C22⋊C4—34no—
131C22×C22⋊C4—32no—
132C22×C42—31no—
133C22×C42—31no—
134C22×C42C2×D311yescharacteristic
135#390—64no—
136#390—64no—
137#390—64no—
138#386—616no—
139C2×#95—32no—
140C2×#95—32no—
141C2×#95—34no—
142C24×C3—22no—
143C24×C3—22no—
144C24×C3—24no—
145C24×C3—22no—
146C24×C3—22no—
147C24×C3—24no—
148C24×C3—24no—
149C24×C3—24no—
150C24×C3—22no—
151C24×C3—22no—
152C24×C3—24no—
153C24×C3—22no—
154C24×C3—22no—
155C24×C3—22no—
156C24×C3—22no—
157C24×C3—24no—
158C24×C3—24no—
159C24×C3—24no—
160C24×C3C22×C414yes—
161C24×C3C22×C414yes—
162C24×C3C2×D414yes—
163C24×C3C2×D414yes—
164C24×C3C2411yescharacteristic
165C2×C3×D4—232no—
166C2×C3×D4—28no—
167C2×C3×D4—28no—
168C2×C3×D4—28no—
169C2×C3×D4—28no—
170C2×C3×D4—28no—
171C2×C3×D4—232no—
172C2×C3×D4—28no—
173C2×C3×D4—28no—
174C2×C3×D4—28no—
175C2×C3×D4—28no—
176C2×C3×D4—416no—
177C2×C3×D4—416no—
178C2×C3×D4—416no—
179C2×C3×D4—416no—
180C2×C3×D4—416no—
181C2×C3×D4—44no—
182C2×C3×D4—44no—
183C2×C3×D4—44no—
184C2×C3×D4—44no—
185C2×C3×D4C22⋊C4116yescomplemented
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4C22×C414yes—
191C22×C3×C4C22×C412yes—
192C22×C3×C4C2×D414yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4C2×D412yes—
195C22×C3×C4C2×D412yes—
196C22×C3×C4C2×D412yes—
197C22×C3×C4#4114yes—
198C22×C3×C4#4112yes—
199C22×C3×C4#4112yes—
200C22×Dic3—21no—
201C22×Dic3—21no—
202C22×Dic3—22no—
203C22×Dic3—216no—
204C22×Dic3—24no—
205C22×Dic3—21no—
206C22×Dic3—22no—
207C22×Dic3—21no—
208C22×Dic3—22no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3—22no—
217C22×Dic3—24no—
218C22×Dic3—24no—
219C22×Dic3—22no—
220C22×Dic3—22no—
221C22×Dic3—22no—
222C22×Dic3—24no—
223C22×Dic3—416no—
224C22×Dic3—416no—
225C22×Dic3—48no—
226C22×Dic3—48no—
227C22×Dic3C2×D414yes—
228C22×Dic3C2×D412yes—
229C22×Dic3C2×D414yes—
230C22×Dic3C2×D414yes—
231C22×Dic3C2×D412yes—
232C3×C42—28no—
233#217—216no—
234#217—416no—
235#217—416no—
236#217—48no—
237#217—48no—
238C4⋊Dic3—28no—
239C4⋊Dic3—44no—
240C4×Dic3—28no—
241C4×Dic3—44no—
242C25C22×D312yes—
243C25C22×D312yes—
244C22×D4—28no—
245C22×D4—28no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—28no—
249C22×D4—22no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—28no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4C2×Dic314yes—
261C22×D4C2×Dic314yescomplemented
262C22×D4C2×Dic3116yescomplemented
263C22×D4#6714yes—
264C22×D4#6714yes—
265C23×C4—31no—
266C23×C4—32no—
267C23×C4—31no—
268C23×C4—32no—
269C23×C4—32no—
270C23×C4—64no—
271C23×C4—64no—
272C23×C4—68no—
273C23×C4—64no—
274C23×C4—124no—
275C23×C4C22×D312yes—
276C23×C4C22×D311yescharacteristic
277#127—232no—
278C4×D4—632no—
279C2×C4⋊C4—34no—
280C2×C4⋊C4—62no—
281C2×C4⋊C4—62no—
282C2×C4⋊C4—62no—
283C2×C4⋊C4—62no—
284C2×C4⋊C4—62no—
285C2×C22⋊C4—64no—
286C2×C22⋊C4—64no—
287C2×C22⋊C4—64no—
288C2×C22⋊C4—68no—
289C2×C22⋊C4—68no—
290C2×C22⋊C4—68no—
291C2×C22⋊C4—64no—
292C2×C22⋊C4—68no—
293C2×C22⋊C4—64no—
294C2×C22⋊C4—68no—
295C2×C22⋊C4—124no—
296C2×C22⋊C4—124no—
297C2×C22⋊C4—124no—
298C2×C42—22no—
299C2×C42—22no—
300C2×C42—34no—
301C2×C42—62no—
302C2×C42—62no—
303C2×C42—62no—
304C2×C42—62no—
305C2×C42—62no—
306C2×C42C2×Dic314yescomplemented
307#95—38no—
308#95—68no—
309#95—64no—
310C23×C3—28no—
311C23×C3—24no—
312C23×C3—24no—
313C23×C3—28no—
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—24no—
317C23×C3—24no—
318C23×C3—28no—
319C23×C3—28no—
320C23×C3—28no—
321C23×C3—28no—
322C23×C3—24no—
323C23×C3—24no—
324C23×C3—28no—
325C23×C3—24no—
326C23×C3—28no—
327C23×C3—42no—
328C23×C3—44no—
329C23×C3—42no—
330C23×C3—42no—
331C23×C3—42no—
332C23×C3—44no—
333C23×C3—44no—
334C23×C3—44no—
335C23×C3—44no—
336C23×C3—44no—
337C23×C3—42no—
338C23×C3—42no—
339C23×C3—42no—
340C23×C3—42no—
341C23×C3—42no—
342C23×C3—44no—
343C23×C3—42no—
344C23×C3—42no—
345C23×C3—42no—
346C23×C3—44no—
347C23×C3—44no—
348C23×C3—44no—
349C23×C3—44no—
350C23×C3—44no—
351C23×C3—44no—
352C23×C3—44no—
353C23×C3—44no—
354C23×C3—44no—
355C23×C3C2×C22⋊C418yes—
356C23×C3C23×C411yescharacteristic
357C23×C3C22×D411yescharacteristic
358C23×C3C22×D411yescharacteristic
359C23×C3C22×D412yes—
360C23×C3C22×D411yescharacteristic
361C23×C3C22×D411yescharacteristic
362C23×C3C2×#4111yescharacteristic
363C23×C3C2×#4111yescharacteristic
364C23×C3C2×#4112yes—
365C23×C3H(5,𝔽2)12yes—
366C23×C3H(5,𝔽2)12yes—
367C3×D4—232no—
368C3×D4—464no—
369C3×D4—416no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—24no—
373C2×C3×C4—24no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4C2×C22⋊C414yes—
377C2×C3×C4C4×D414yes—
378C2×C3×C4C4×D414yes—
379C2×C3×C4C4×D418yescomplemented
380C2×C3×C4#12014yes—
381C2×C3×C4#12114yes—
382C2×C3×C4#12114yes—
383C2×C3×C4#12314yes—
384C2×Dic3—22no—
385C2×Dic3—22no—
386C2×Dic3—24no—
387C2×Dic3—24no—
388C2×Dic3—22no—
389C2×Dic3—24no—
390C2×Dic3—24no—
391C2×Dic3—22no—
392C2×Dic3—22no—
393C2×Dic3—24no—
394C2×Dic3—24no—
395C2×Dic3—28no—
396C2×Dic3—432no—
397C2×Dic3—42no—
398C2×Dic3—42no—
399C2×Dic3—42no—
400C2×Dic3—42no—
401C2×Dic3—44no—
402C2×Dic3—42no—
403C2×Dic3—42no—
404C2×Dic3—42no—
405C2×Dic3—42no—
406C2×Dic3—42no—
407C2×Dic3—42no—
408C2×Dic3—42no—
409C2×Dic3—44no—
410C2×Dic3—44no—
411C2×Dic3#12714yescomplemented
412C24—22no—
413C24—22no—
414C24—24no—
415C24—22no—
416C24—22no—
417C24—24no—
418C24—24no—
419C24—24no—
420C24—22no—
421C24—24no—
422C24—22no—
423C24—22no—
424C24—24no—
425C24—22no—
426C24—24no—
427C24—24no—
428C24—22no—
429C24—22no—
430C24C22×Dic314yes—
431C24C22×Dic314yes—
432C24C2×#6714yes—
433C24C2×#6714yes—
434C24C23×D311yescharacteristic
435C2×D4—232no—
436C2×D4—28no—
437C2×D4—28no—
438C2×D4—28no—
439C2×D4—28no—
440C2×D4—232no—
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—28no—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—416no—
447C2×D4—416no—
448C2×D4—416no—
449C2×D4—416no—
450C2×D4—416no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4#217116yescomplemented
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—34no—
461C22×C4—32no—
462C22×C4—34no—
463C22×C4—32no—
464C22×C4—34no—
465C22×C4—61no—
466C22×C4—62no—
467C22×C4—61no—
468C22×C4—616no—
469C22×C4—64no—
470C22×C4—62no—
471C22×C4—61no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—64no—
480C22×C4—61no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—64no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—64no—
487C22×C4—62no—
488C22×C4—128no—
489C22×C4—1216no—
490C22×C4—1216no—
491C22×C4—128no—
492C22×C4D3×D414yes—
493C22×C4D3×D412yes—
494C22×C4D3×D412yes—
495C22×C4#23714yes—
496C22×C4#23712yes—
497C22×C4#23712yes—
498C22×C4C22×Dic314yes—
499C22×C4C22×Dic312yes—
500C22×C4C2×#6712yes—
501C22×C4C2×#6712yes—
502C4⋊C4—68no—
503C4⋊C4—124no—
504C22⋊C4—616no—
505C22⋊C4—128no—
506C22⋊C4—1216no—
507C22⋊C4—1216no—
508C22⋊C4—128no—
509C42—28no—
510C42—68no—
511C42—124no—
512C22×C3—216no—
513C22×C3—28no—
514C22×C3—44no—
515C22×C3—44no—
516C22×C3—48no—
517C22×C3—48no—
518C22×C3—44no—
519C22×C3—44no—
520C22×C3—48no—
521C22×C3—44no—
522C22×C3—44no—
523C22×C3—44no—
524C22×C3—44no—
525C22×C3—48no—
526C22×C3—48no—
527C22×C3—44no—
528C22×C3—84no—
529C22×C3—82no—
530C22×C3—82no—
531C22×C3—84no—
532C22×C3—82no—
533C22×C3—82no—
534C22×C3C22×C22⋊C411yescharacteristic
535C22×C3C2×C4×D411yescharacteristic
536C22×C3C2×C4×D412yes—
537C22×C3C2×C4×D411yescharacteristic
538C22×C3#51812yes—
539C22×C3C2×#12011yescharacteristic
540C22×C3C2×#12111yescharacteristic
541C22×C3C2×#12111yescharacteristic
542C22×C3C2×#12311yescharacteristic
543C22×C3C2×#12711yescharacteristic
544C22×C3#53212yes—
545C22×C3#53211yescharacteristic
546C22×C3#53511yescharacteristic
547C22×C3#53511yescharacteristic
548C22×C3#54012yes—
549C22×C3D4212yes—
550C22×C3D4212yes—
551C22×C3D4212yes—
552C22×C3#54612yes—
553C22×C3#54612yes—
554C22×C3#55012yes—
555C22×C3#55012yes—
556C22×C3#55912yes—
557C3×C4—28no—
558C3×C4#38618yescomplemented
559Dic3—24no—
560Dic3—44no—
561Dic3—42no—
562Dic3—44no—
563Dic3—82no—
564C23—24no—
565C23—24no—
566C23—28no—
567C23—24no—
568C23—28no—
569C23—24no—
570C23—28no—
571C23—28no—
572C23—24no—
573C23—24no—
574C23—28no—
575C23—28no—
576C23—24no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—24no—
581C23—44no—
582C23—42no—
583C23—42no—
584C23—42no—
585C23—44no—
586C23—42no—
587C23—44no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—44no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—42no—
602C23—42no—
603C23—44no—
604C23—44no—
605C23—42no—
606C23—42no—
607C23—44no—
608C23—44no—
609C23C2×#21718yes—
610C23C2×D3×D411yescharacteristic
611C23C2×D3×D412yes—
612C23C2×D3×D411yescharacteristic
613C23C2×#23711yescharacteristic
614C23C2×#23712yes—
615C23C2×#23711yescharacteristic
616C23#100412yes—
617C23#100412yes—
618C23C23×Dic311yescharacteristic
619C23C22×#6711yescharacteristic
620C23C22×#6711yescharacteristic
621D4—232no—
622D4—464no—
623D4—416no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—24no—
630C2×C4—34no—
631C2×C4—62no—
632C2×C4—64no—
633C2×C4—62no—
634C2×C4—64no—
635C2×C4—62no—
636C2×C4—64no—
637C2×C4—62no—
638C2×C4—64no—
639C2×C4—68no—
640C2×C4—62no—
641C2×C4—64no—
642C2×C4—64no—
643C2×C4—1232no—
644C2×C4—122no—
645C2×C4—122no—
646C2×C4—122no—
647C2×C4—122no—
648C2×C4—122no—
649C2×C4—124no—
650C2×C4—122no—
651C2×C4—122no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4—122no—
655C2×C4—124no—
656C2×C4—124no—
657C2×C4—122no—
658C2×C4D4×Dic314yes—
659C2×C4D4×Dic314yes—
660C2×C4D4×Dic318yescomplemented
661C2×C4#93514yes—
662C2×C4#93714yes—
663C2×C4#93914yes—
664C2×C4#93914yes—
665C2×C4C2×#21714yes—
666C2×C3—48no—
667C2×C3—84no—
668C2×C3C2×#38611yescharacteristic
669C2×C3C4×#12711yescharacteristic
670C2×C3#232811yescharacteristic
671C2×C3D4×C22⋊C412yes—
672C2×C3#236612yes—
673C2×C3#242812yes—
674C2×C3#243111yescharacteristic
675C2×C3#243311yescharacteristic
676C2×C3#244512yes—
677C2×C3#254111yescharacteristic
678C2×C3#254411yescharacteristic
679C22—28no—
680C22—216no—
681C22—44no—
682C22—44no—
683C22—48no—
684C22—44no—
685C22—48no—
686C22—44no—
687C22—44no—
688C22—48no—
689C22—44no—
690C22—44no—
691C22—48no—
692C22—44no—
693C22—44no—
694C22—48no—
695C22—82no—
696C22—84no—
697C22—82no—
698C22—82no—
699C22—84no—
700C22—82no—
701C22#571312yes—
702C22D3×#12711yescharacteristic
703C22#571511yescharacteristic
704C22#571511yescharacteristic
705C22#571612yes—
706C22#571611yescharacteristic
707C22#571712yes—
708C22#571812yes—
709C22#571812yes—
710C22#571912yes—
711C22C2×D4×Dic311yescharacteristic
712C22C2×D4×Dic311yescharacteristic
713C22C2×D4×Dic312yes—
714C22C2×#93511yescharacteristic
715C22#579812yes—
716C22C2×#93711yescharacteristic
717C22D4×#6712yes—
718C22D4×#6712yes—
719C22C2×#93911yescharacteristic
720C22C2×#93911yescharacteristic
721C22#580612yes—
722C22#580612yes—
723C22C22×#21711yescharacteristic
724C4—28no—
725C4—64no—
726C4—124no—
727C4—124no—
728C4—122no—
729C4—242no—
730C4#522018yescomplemented
731C3#1402511yescharacteristic, complemented, Sylow
732C2—48no—
733C2—84no—
734C2Dic3×#12711yescharacteristic
735C2#8317211yescharacteristic
736C2#8317312yes—
737C2#8317511yescharacteristic
738C2#8317612yes—
739C2#8317711yescharacteristic
740C2#8317811yescharacteristic
741C2#8318612yes—
742C2#8318711yescharacteristic
743C2C2×#522011yescharacteristic
744C2D4×#21712yes—
subgroupG/H
center, FrattiniC24C23×D3
commutatorC23×C3C23×C4
Fitting, prime radicalC22×C3×#127C2
socle, cosocleC24×C3C24
hypercenterC22×#127D3
hypocenterC3#14025
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C22×#127

Complements

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

NH ≅ G/Ntype
2. C22×D4×Dic3C2semidirect
3. C2×#5221C2semidirect
4. C2×#5221C2semidirect
5. C2×#5221C2semidirect
6. C2×#5220C2semidirect
7. #72131C2semidirect
8. #71535C2semidirect
9. C4×C3⋊#95C2semidirect
17. C2×C3×#127C4semidirect
66. C22×C3×D4C2×C4semidirect
67. C22×C3×D4C2×C4semidirect
85. C2×C3×C42C2×C4semidirect
105. C2×C4⋊Dic3D4semidirect
111. C2×C4×Dic3D4semidirect
114. C3⋊#95D4semidirect
121. C2×#127Dic3semidirect
185. C2×C3×D4C22⋊C4semidirect
261. C22×D4C2×Dic3semidirect
262. C22×D4C2×Dic3semidirect
306. C2×C42C2×Dic3semidirect
379. C2×C3×C4C4×D4semidirect
411. C2×Dic3#127semidirect
455. C2×D4#217semidirect
558. C3×C4#386semidirect
660. C2×C4D4×Dic3semidirect
730. C4#5220semidirect
731. C3#14025semidirect

Maximal subgroups

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

subgroupindex
C22×C3×#1272
C22×D4×Dic32
C2×#52212
C2×#52202
#721312
#715352
C4×C3⋊#952
#140253