Finite Group Databasebeta

← #10944009

Subgroups — #10944009

Order 768.

1868 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D3×D4C211yesmaximal, characteristic
2C2×#5019C211yesmaximal, characteristic, complemented
3C2×#4841C211yesmaximal, characteristic, complemented
4C2×#4776C212yesmaximal
5#74376C211yesmaximal, characteristic, complemented
6C3×#1802C211yesmaximal, characteristic, complemented
7#70475C211yesmaximal, characteristic, complemented
8#70171C212yesmaximal, complemented
9#69584C211yesmaximal, characteristic, complemented
10#68896C212yesmaximal, complemented
11#68878C212yesmaximal, complemented
12#32905—31nomaximal, Sylow
13C22×D3×D4C2211yescharacteristic
14C23×C4×D3—21no—
15C2×C3×C4×D4C2211yescharacteristic
16C2×D4×Dic3C2211yescharacteristic
17C22×#214C2212yes—
18C2×C4×#67—21no—
19C22×#204C2212yes—
20C4×D3×D4—24no—
21C4×D3×D4—24no—
22C2×#897C2212yes—
23C2×#893C2211yescharacteristic
24C2×D3×C4⋊C4C2211yescharacteristic
25C2×#67⋊C4—21no—
26C2×D3×C22⋊C4—21no—
27C2×C4×D12C2211yescharacteristic
28C2×C42×D3C2211yescharacteristic
29C2×#869C2211yescharacteristic, complemented
30C2×C3×C4⋊C8C2211yescharacteristic, complemented
31C2×C3×#102C2212yes—
32C3×#384C2211yescharacteristic, complemented
33C2×(C2×D3)⋊C8C2212yes—
34C2×#816C2212yescomplemented
35#5019—24no—
36#4987—21no—
37#4987—21no—
38#4984—21no—
39#4984—21no—
40#4973C2212yescomplemented
41C2×#810C2212yescomplemented
42C2×#809C2212yes—
43C2×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
44#4841—24no—
45#4776—28no—
46C3×#340C2212yescomplemented
47#4550C2212yescomplemented
48#4529C2212yescomplemented
49C22×C4×D4—31no—
50C2×#461—31no—
51C2×#461—31no—
52C2×#450—32no—
53#2857—31no—
54#1877—32no—
55#1877—32no—
56#1872—32no—
57#1802—31no—
58#1802D311yescharacteristic, complemented
59#1797—31no—
60C24×D3—21no—
61C22×C3×D4C2311yescharacteristic
62C23×C3×C4—21no—
63C22×#67—21no—
64C23×Dic3—21no—
65C2×D3×D4—22no—
66C2×D3×D4—22no—
67C2×D3×D4—22no—
68C2×D3×D4—22no—
69C2×D3×D4—22no—
70C2×D3×D4D414yes—
71C22×D12C2311yescharacteristic
72C22×C4×D3—28no—
73C22×C4×D3—21no—
74C22×C4×D3—21no—
75C22×C4×D3—21no—
76C22×C4×D3—44no—
77C22×C4×D3—44no—
78C22×C4×D3D411yescharacteristic
79C22×C4×D3D411yescharacteristic
80C22×C4×D3C2311yescharacteristic
81C22×Dic6C2312yes—
82C22×C3×C8C2312yes—
83C3×C4×D4—22no—
84C3×C4×D4D414yes—
85C2×C3×C4⋊C4—21no—
86C2×C3×C4⋊C4—21no—
87C2×C3×C4⋊C4C2312yes—
88C2×C3×C4⋊C4C2311yescharacteristic
89C2×C3×C22⋊C4—21no—
90C2×C3×C42C2311yescharacteristic
91C2×#217—21no—
92D4×Dic3—22no—
93D4×Dic3—22no—
94C2×#214—24no—
95C2×#214—24no—
96C2×#214—24no—
97C4×#67—28no—
98C2×(C2×D3)⋊C4—21no—
99C2×(C2×D3)⋊C4—21no—
100C2×(C2×D3)⋊C4—22no—
101C2×C4⋊Dic3—21no—
102C2×C4⋊Dic3—21no—
103C2×C4⋊Dic3—22no—
104C2×C4⋊Dic3C2311yescharacteristic
105C2×Dic3⋊C4—21no—
106C2×C4×Dic3D411yescharacteristic
107C2×C4×Dic3D411yescharacteristic
108C2×C4×Dic3C2311yescharacteristic
109C22×C3⋊C8C2312yes—
110C2×#204—24no—
111C2×#204—24no—
112C2×#204—24no—
113#897—24no—
114#897—24no—
115#893—22no—
116#893—22no—
117D3×C4⋊C4—22no—
118D3×C4⋊C4—22no—
119#67⋊C4—28no—
120D3×C22⋊C4—28no—
121C4×D12—22no—
122C4×D12D414yes—
123C42×D3—22no—
124C42×D3—22no—
125#869—22no—
126#869—22no—
127C3×C4⋊C8—22no—
128C3×#102—24no—
129C3⋊#95—22no—
130C3⋊#95—22no—
131(C2×D3)⋊C8—24no—
132#816—24no—
133#810—24no—
134#809—24no—
135C4⋊(C3⋊C8)—22no—
136C23×D4—31no—
137C24×C4—61no—
138C22×SD16—32no—
139C22×SD16—32no—
140C2×C4⋊Q8—31no—
141C2×C22⋊Q8—32no—
142C2×C4×D4—31no—
143C2×C4×D4—31no—
144C2×C4×D4—31no—
145C2×C4×D4—61no—
146C2×C4×D4—61no—
147C2×C4×D4—64no—
148C2×C4×D4—64no—
149C2×C4×D4C2×D311yescharacteristic
150C22×C4⋊C4—31no—
151C22×C22⋊C4—61no—
152C22×C42—31no—
153#461—64no—
154#461—64no—
155#450—68no—
156C2×C4⋊C8—31no—
157C2×C4⋊C8C2×D311yescharacteristic, complemented
158C2×#103—32no—
159C2×#103—32no—
160C2×#102—32no—
161C2×#102C2×D312yes—
162C2×C22⋊C8—32no—
163#391—32no—
164#389—61no—
165#389—61no—
166#384C2×D311yescharacteristic, complemented
167#380—61no—
168#380—61no—
169#340—32no—
170#340C2×D312yescomplemented
171#336—32no—
172C24×C3—21no—
173C23×D3—24no—
174C23×D3—24no—
175C23×D3—21no—
176C23×D3—24no—
177C23×D3—42no—
178C23×D3—42no—
179C23×D3—42no—
180C23×D3—42no—
181C23×D3C2×D411yescharacteristic
182C2×C3×D4—21no—
183C2×C3×D4—21no—
184C2×C3×D4—21no—
185C2×C3×D4C2×D412yes—
186C2×C3×D4C2×D412yes—
187C2×C3×D4#4112yes—
188C22×C3×C4—21no—
189C22×C3×C4—24no—
190C22×C3×C4—22no—
191C22×C3×C4—42no—
192C22×C3×C4—42no—
193C22×C3×C4C2×D411yescharacteristic
194C22×C3×C4C2×D411yescharacteristic
195C22×C3×C4C2411yescharacteristic
196C2×#67—24no—
197C2×#67—24no—
198C2×#67—24no—
199C22×Dic3—24no—
200C22×Dic3—21no—
201C22×Dic3—22no—
202C22×Dic3—42no—
203C22×Dic3—42no—
204C22×Dic3C2×D411yescharacteristic
205C22×Dic3C2×D411yescharacteristic
206C22×Dic3C2×D411yescharacteristic
207D3×D4—28no—
208D3×D4—28no—
209D3×D4—28no—
210D3×D4—28no—
211C2×D12—21no—
212C2×D12—21no—
213C2×D12—21no—
214C2×D12C2×D412yes—
215C2×D12C2×D412yes—
216C2×D12#4112yes—
217C2×C4×D3—22no—
218C2×C4×D3—22no—
219C2×C4×D3—21no—
220C2×C4×D3—21no—
221C2×C4×D3—21no—
222C2×C4×D3—21no—
223C2×C4×D3—24no—
224C2×C4×D3—24no—
225C2×C4×D3—22no—
226C2×C4×D3—22no—
227C2×C4×D3—24no—
228C2×C4×D3—432no—
229C2×C4×D3—41no—
230C2×C4×D3—42no—
231C2×C4×D3—42no—
232C2×C4×D3—42no—
233C2×C4×D3—42no—
234C2×C4×D3—42no—
235C2×C4×D3—42no—
236C2×C4×D3SD1614yescomplemented
237C2×C4×D3C2×D412yes—
238C2×C4×D3#4112yes—
239C2×Dic6—22no—
240C2×Dic6—22no—
241C2×Dic6—22no—
242C2×Dic6—22no—
243C2×Dic6—22no—
244C2×Dic6—22no—
245C2×C3×C8—22no—
246C2×C3×C8—22no—
247C2×C3×C8—22no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—22no—
250C3×C4⋊C4—22no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4—42no—
253C3×C4⋊C4C2×D412yes—
254C3×C22⋊C4—24no—
255C3×C42C2×D412yes—
256C3×C42C2×D412yes—
257#217—24no—
258#214—48no—
259(C2×D3)⋊C4—24no—
260(C2×D3)⋊C4—24no—
261(C2×D3)⋊C4—44no—
262C4⋊Dic3—21no—
263C4⋊Dic3—42no—
264C4⋊Dic3—42no—
265C4⋊Dic3—44no—
266C4⋊Dic3C2×D412yes—
267Dic3⋊C4—24no—
268C4×Dic3—22no—
269C4×Dic3—22no—
270C4×Dic3—21no—
271C4×Dic3—21no—
272C2×C3⋊C8—22no—
273C2×C3⋊C8—22no—
274C2×C3⋊C8—22no—
275#204—48no—
276C25—61no—
277C22×Q8—32no—
278C22×D4—34no—
279C22×D4—31no—
280C22×D4—62no—
281C22×D4—61no—
282C22×D4—62no—
283C22×D4—62no—
284C22×D4—62no—
285C22×D4—62no—
286C22×D4C22×D311yescharacteristic
287C23×C4—21no—
288C23×C4—31no—
289C23×C4—31no—
290C23×C4—31no—
291C23×C4—61no—
292C23×C4—61no—
293C23×C4—68no—
294C23×C4—61no—
295C23×C4—61no—
296C23×C4—124no—
297C23×C4—124no—
298C2×SD16—64no—
299C2×SD16—64no—
300C2×SD16—64no—
301C2×SD16—64no—
302C2×SD16—64no—
303C2×SD16—64no—
304C22×C8—32no—
305C22×C8C22×D312yes—
306C4⋊Q8—62no—
307C4⋊Q8—62no—
308C22⋊Q8—64no—
309C22⋊Q8—64no—
310C4×D4—22no—
311C4×D4—34no—
312C4×D4—68no—
313C4×D4—62no—
314C4×D4—62no—
315C4×D4—68no—
316C4×D4—62no—
317C4×D4—62no—
318C4×D4—62no—
319C4×D4D1214yes—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—62no—
324C2×C4⋊C4—61no—
325C2×C4⋊C4—62no—
326C2×C4⋊C4—62no—
327C2×C4⋊C4—61no—
328C2×C4⋊C4—61no—
329C2×C4⋊C4C22×D312yes—
330C2×C4⋊C4C22×D311yescharacteristic
331C2×C22⋊C4—21no—
332C2×C22⋊C4—68no—
333C2×C22⋊C4—61no—
334C2×C22⋊C4—61no—
335C2×C22⋊C4—61no—
336C2×C22⋊C4—62no—
337C2×C42—31no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—62no—
341C2×C42—62no—
342C2×C42C22×D311yescharacteristic
343C4⋊C8—22no—
344C4⋊C8—62no—
345#103—64no—
346#103—64no—
347#102—24no—
348#102—64no—
349C22⋊C8—64no—
350#95—62no—
351#95—62no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—22no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3C22×D411yescharacteristic
360C22×D3—21no—
361C22×D3—21no—
362C22×D3—21no—
363C22×D3—21no—
364C22×D3—216no—
365C22×D3—22no—
366C22×D3—22no—
367C22×D3—22no—
368C22×D3—48no—
369C22×D3—48no—
370C22×D3—48no—
371C22×D3—48no—
372C22×D3—48no—
373C22×D3—41no—
374C22×D3—41no—
375C22×D3—41no—
376C22×D3—41no—
377C22×D3—48no—
378C22×D3#12112yes—
379C22×D3C2×SD1612yes—
380C22×D3#13712yes—
381C3×D4—22no—
382C3×D4—22no—
383C3×D4—22no—
384C3×D4#12114yes—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—22no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—48no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4#12012yes—
395C2×C3×C4#12012yes—
396C2×C3×C4C2×SD1612yes—
397C2×C3×C4AGL(1,ℤ/8)12yes—
398C2×C3×C4C22×D411yescharacteristic
399C2×C3×C4C22×D411yescharacteristic
400C2×C3×C4C22×D411yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C4C2×#4111yescharacteristic
403C2×C3×C4C2×#4111yescharacteristic
404#67—216no—
405C2×Dic3—21no—
406C2×Dic3—21no—
407C2×Dic3—21no—
408C2×Dic3—21no—
409C2×Dic3—21no—
410C2×Dic3—22no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—48no—
414C2×Dic3—41no—
415C2×Dic3—41no—
416C2×Dic3—42no—
417C2×Dic3—42no—
418C2×Dic3—42no—
419C2×Dic3#12112yes—
420C2×Dic3C2×SD1612yes—
421D12—22no—
422D12—22no—
423D12—22no—
424D12#12114yes—
425C4×D3—22no—
426C4×D3—22no—
427C4×D3—22no—
428C4×D3—22no—
429C4×D3—28no—
430C4×D3—48no—
431C4×D3—44no—
432C4×D3—48no—
433C4×D3—48no—
434Dic6—42no—
435Dic6—42no—
436Dic6—42no—
437Dic6—42no—
438C3×C8—42no—
439C3⋊C8—42no—
440C24—21no—
441C24—31no—
442C24—64no—
443C24—64no—
444C24—64no—
445C24—61no—
446C24—122no—
447C24—122no—
448C24—122no—
449C24—122no—
450C2×Q8—62no—
451C2×Q8—62no—
452C2×Q8—62no—
453C2×Q8—62no—
454C2×Q8—62no—
455C2×Q8—62no—
456C2×D4—21no—
457C2×D4—21no—
458C2×D4—21no—
459C2×D4—32no—
460C2×D4—32no—
461C2×D4—32no—
462C2×D4—64no—
463C2×D4—68no—
464C2×D4—68no—
465C2×D4—68no—
466C2×D4—64no—
467C2×D4—64no—
468C2×D4—68no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4C2×D1212yes—
473C2×D4D3×D412yes—
474C2×D4#23912yes—
475C22×C4—21no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—31no—
479C22×C4—31no—
480C22×C4—34no—
481C22×C4—32no—
482C22×C4—32no—
483C22×C4—31no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—62no—
487C22×C4—64no—
488C22×C4—64no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—64no—
496C22×C4—61no—
497C22×C4—62no—
498C22×C4—64no—
499C22×C4—62no—
500C22×C4—121no—
501C22×C4—122no—
502C22×C4—122no—
503C22×C4—122no—
504C22×C4—1232no—
505C22×C4—122no—
506C22×C4—122no—
507C22×C4—122no—
508C22×C4—122no—
509C22×C4—122no—
510C22×C4D3×D411yescharacteristic
511C22×C4D3×D411yescharacteristic
512C22×C4C23×D311yescharacteristic
513SD16—128no—
514SD16—128no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—62no—
519C2×C8—62no—
520C2×C8—62no—
521C4⋊C4—21no—
522C4⋊C4—22no—
523C4⋊C4—22no—
524C4⋊C4—32no—
525C4⋊C4—42no—
526C4⋊C4—42no—
527C4⋊C4—64no—
528C4⋊C4—61no—
529C4⋊C4—124no—
530C4⋊C4—122no—
531C4⋊C4—122no—
532C4⋊C4C2×D1212yes—
533C22⋊C4—24no—
534C22⋊C4—64no—
535C22⋊C4—64no—
536C22⋊C4—64no—
537C22⋊C4—124no—
538C42—62no—
539C42—62no—
540C42—61no—
541C42—61no—
542C42C2×D1212yes—
543C42D3×D412yes—
544C22×C3—24no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3—42no—
550C22×C3—42no—
551C22×C3C2×#12011yescharacteristic
552C22×C3C2×#12111yescharacteristic
553C22×C3#52511yescharacteristic
554C22×C3C22×SD1611yescharacteristic
555C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
556C22×C3C2×#13711yescharacteristic
557C22×C3#57511yescharacteristic
558C2×D3—22no—
559C2×D3—22no—
560C2×D3—22no—
561C2×D3—22no—
562C2×D3—22no—
563C2×D3—22no—
564C2×D3—24no—
565C2×D3—432no—
566C2×D3—42no—
567C2×D3—42no—
568C2×D3—42no—
569C2×D3—42no—
570C2×D3—42no—
571C2×D3—42no—
572C2×D3#46114yescomplemented
573C3×C4—22no—
574C3×C4—42no—
575C3×C4—82no—
576C3×C4#45014yescomplemented
577C3×C4C2×#12111yescharacteristic
578C3×C4C2×#12111yescharacteristic
579C3×C4#52511yescharacteristic
580C3×C4#52511yescharacteristic
581Dic3—22no—
582Dic3—22no—
583Dic3—42no—
584Dic3—41no—
585Dic3—82no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—32no—
590C23—32no—
591C23—32no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—616no—
597C23—61no—
598C23—61no—
599C23—61no—
600C23—61no—
601C23—62no—
602C23—62no—
603C23—62no—
604C23—128no—
605C23—128no—
606C23—128no—
607C23—128no—
608C23—128no—
609C23—128no—
610C23—121no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23C2×D3×D411yescharacteristic
615Q8—122no—
616Q8—122no—
617Q8—122no—
618Q8—122no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—34no—
623D4—616no—
624D4—62no—
625D4—62no—
626D4—62no—
627D4#89514yes—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—32no—
632C2×C4—32no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—48no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—61no—
640C2×C4—61no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—68no—
646C2×C4—62no—
647C2×C4—62no—
648C2×C4—61no—
649C2×C4—62no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—124no—
653C2×C4—128no—
654C2×C4—128no—
655C2×C4—128no—
656C2×C4—121no—
657C2×C4—121no—
658C2×C4—128no—
659C2×C4—122no—
660C2×C4—122no—
661C2×C4—122no—
662C2×C4#88212yes—
663C2×C4#88212yes—
664C2×C4#91112yes—
665C2×C4D3×SD1612yes—
666C2×C4C22×D1211yescharacteristic
667C2×C4C2×D3×D411yescharacteristic
668C2×C4C2×D3×D411yescharacteristic
669C2×C4C2×#23911yescharacteristic
670C2×C4D3×#4111yescharacteristic
671C2×C4D3×#4111yescharacteristic
672C8—42no—
673C8—122no—
674C2×C3—44no—
675C2×C3#284711yescharacteristic
676C2×C3C2×#45011yescharacteristic
677C2×C3#300711yescharacteristic
678C2×C3C2×#46111yescharacteristic
679C2×C3#303611yescharacteristic
680C2×C3#310111yescharacteristic
681C2×C3#311011yescharacteristic
682D3—24no—
683D3—44no—
684C22—24no—
685C22—34no—
686C22—42no—
687C22—42no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—62no—
693C22—62no—
694C22—62no—
695C22—62no—
696C22—62no—
697C22—62no—
698C22—64no—
699C22—1232no—
700C22—122no—
701C22—122no—
702C22—122no—
703C22—122no—
704C22—122no—
705C22—122no—
706C22C2×#88211yescharacteristic
707C22D3×#12111yescharacteristic
708C22#562711yescharacteristic
709C22C2×#91111yescharacteristic
710C22C2×D3×SD1611yescharacteristic
711C22#577311yescharacteristic
712C22D3×#13711yescharacteristic
713C4—22no—
714C4—42no—
715C4—62no—
716C4—62no—
717C4—82no—
718C4—121no—
719C4—122no—
720C4—242no—
721C4#477614yescomplemented
722C4C2×#89511yescharacteristic
723C4#552411yescharacteristic
724C4D3×#12111yescharacteristic
725C4#562711yescharacteristic
726C3#3290511yescharacteristic, complemented, Sylow
727C2—44no—
728C2—64no—
729C2—124no—
730C2#7404811yescharacteristic
731C2C2×#477611yescharacteristic
732C2#7888511yescharacteristic
733C2#8033211yescharacteristic
734C2D3×#46111yescharacteristic
735C2#8095011yescharacteristic
736C2#8104411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1802C2
socleC23×C3C22×D4
prime radicalC22×D3×D4C22
hypercenter#1802D3
hypocenterC3#32905
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1802

Complements

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

NH ≅ G/Ntype
2. C2×#5019C2semidirect
3. C2×#4841C2semidirect
5. #74376C2semidirect
6. C3×#1802C2semidirect
7. #70475C2semidirect
8. #70171C2semidirect
9. #69584C2semidirect
10. #68896C2semidirect
11. #68878C2semidirect
29. C2×#869C22semidirect
30. C2×C3×C4⋊C8C22semidirect
32. C3×#384C22semidirect
34. C2×#816C22semidirect
40. #4973C22semidirect
41. C2×#810C22semidirect
43. C2×C4⋊(C3⋊C8)C22semidirect
46. C3×#340C22semidirect
47. #4550C22semidirect
48. #4529C22semidirect
58. #1802D3semidirect
157. C2×C4⋊C8C2×D3semidirect
166. #384C2×D3semidirect
170. #340C2×D3semidirect
236. C2×C4×D3SD16semidirect
572. C2×D3#461semidirect
576. C3×C4#450semidirect
721. C4#4776semidirect
726. C3#32905semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D3×D42
C2×#50192
C2×#48412
C2×#47762
#743762
C3×#18022
#704752
#701712
#695842
#688962
#688782
#329053