Finite Group Databasebeta

← #10945089

Subgroups — #10945089

Order 768.

1098 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5150C211yesmaximal, characteristic
2C4×D4×Dic3C211yesmaximal, characteristic, complemented
3C2×#4759C211yesmaximal, characteristic, complemented
4#76424C211yesmaximal, characteristic, complemented
5C3×#1879C211yesmaximal, characteristic, complemented
6#72037C211yesmaximal, characteristic, complemented
7#71613C211yesmaximal, characteristic, complemented
8#70172C211yesmaximal, characteristic, complemented
9#70161C211yesmaximal, characteristic, complemented
10#70155C211yesmaximal, characteristic, complemented
11#69636C211yesmaximal, characteristic, complemented
12#68800C211yesmaximal, characteristic, complemented
13#68791C211yesmaximal, characteristic, complemented
14#68625C211yesmaximal, characteristic, complemented
15#68605C211yesmaximal, characteristic, complemented
16#33024—31nomaximal, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×C4×D4C2211yescharacteristic
19C2×#940C2211yescharacteristic
20C2×D4×Dic3C2211yescharacteristic
21C2×D4×Dic3C2211yescharacteristic
22C22×#213C2211yescharacteristic
23C22×C4×Dic3—21no—
24C2×#888C2211yescharacteristic
25C2×#885—21no—
26C2×#885—21no—
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C3×#390C2211yescharacteristic
30#5221C2211yescharacteristic
31C2×#832C2211yescharacteristic
32C2×#832C2211yescharacteristic
33C2×#832C2211yescharacteristic
34C4×#217—21no—
35#5150—24no—
36C2×#821C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×#818C2211yescharacteristic
39C2×Dic3⋊C8C2211yescharacteristic
40C2×Dic3⋊C8C2211yescharacteristic
41#4988C2211yescharacteristic
42Dic3×C4⋊C4C2211yescharacteristic
43Dic3×C4⋊C4C2211yescharacteristic
44C2×#809C2211yescharacteristic
45C2×#807C2211yescharacteristic
46#4957—21no—
47#4957—21no—
48Dic3×C22⋊C4—21no—
49Dic3×C22⋊C4—21no—
50#4939C2211yescharacteristic
51C4×C4⋊Dic3C2211yescharacteristic
52C42×Dic3C2211yescharacteristic
53#4759—24no—
54C3×#340C2211yescharacteristic
55C3×#336C2211yescharacteristic
56#4551C2211yescharacteristic
57#4550C2211yescharacteristic
58#4550C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4524C2211yescharacteristic
62C2×#474—31no—
63C2×#459—31no—
64#2858—31no—
65C42×D4—31no—
66#1988—31no—
67#1982—31no—
68#1925—31no—
69#1925—31no—
70#1925—31no—
71#1925—31no—
72#1879—31no—
73#1879—31no—
74#1879—31no—
75#1879D311yescharacteristic, complemented
76#1831—31no—
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C22×#67—21no—
81C22×#67—21no—
82C23×Dic3—21no—
83C23×Dic3—21no—
84C22×D12C2311yescharacteristic
85C22×Dic6—21no—
86C2×C3×D8—22no—
87C2×C3×D8—22no—
88C2×C3×D8—22no—
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×C3×C22⋊C4—21no—
98C2×C3×C42C2311yescharacteristic
99C2×#217—21no—
100C2×#217—21no—
101C2×#217—21no—
102C2×#217—21no—
103#940—22no—
104#940—22no—
105D4×Dic3—22no—
106D4×Dic3—22no—
107D4×Dic3—22no—
108D4×Dic3D414yes—
109C2×#213—22no—
110C2×#213—22no—
111C2×#213—22no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×Dic3⋊C4—21no—
120C2×C4×Dic3—21no—
121C2×C4×Dic3—21no—
122C2×C4×Dic3—21no—
123C2×C4×Dic3—44no—
124C2×C4×Dic3D411yescharacteristic
125C2×C4×Dic3D411yescharacteristic
126C2×C4×Dic3D411yescharacteristic
127C2×C4×Dic3D411yescharacteristic
128C2×C4×Dic3C2311yescharacteristic
129C2×C4×Dic3C2311yescharacteristic
130C22×C3⋊C8C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132#888—22no—
133#888—22no—
134#885—44no—
135#885—44no—
136C3×#102—22no—
137C3×#102—22no—
138#832—22no—
139#832—22no—
140#832—22no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144#821—22no—
145#821—22no—
146#818—22no—
147Dic3⋊C8—22no—
148Dic3⋊C8—22no—
149#809—22no—
150#807—22no—
151C22×D8—31no—
152C22×D8C2×D311yescharacteristic
153C2×C4⋊Q8—31no—
154C2×#127—31no—
155C2×#124—61no—
156C2×#124—61no—
157C2×C4×D4—31no—
158C2×C4×D4—31no—
159C2×C4×D4C2×D311yescharacteristic
160C22×C42—61no—
161#474—64no—
162#459—64no—
163C2×#107—31no—
164C2×#107—31no—
165C2×C4⋊C8—31no—
166C2×C4⋊C8—31no—
167C2×#102—31no—
168C2×#102—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102—31no—
173C2×#102C2×D311yescharacteristic
174C2×#102C2×D311yescharacteristic
175#390—31no—
176#390—31no—
177#390—31no—
178#390—61no—
179#390—61no—
180#390C2×D311yescharacteristic
181C4×C4⋊C4—31no—
182C4×C4⋊C4—31no—
183C4×C4⋊C4—31no—
184C4×C22⋊C4—61no—
185C4×C22⋊C4—61no—
186C4×C22⋊C4—61no—
187C43—31no—
188#340—31no—
189#340—31no—
190#340—31no—
191#340C2×D311yescharacteristic
192#336—31no—
193#336—31no—
194#336—31no—
195#336C2×D311yescharacteristic
196C24×C3—21no—
197C24×C3—21no—
198C23×D3—21no—
199C2×C3×D4—21no—
200C2×C3×D4—21no—
201C2×C3×D4—21no—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4C2×D412yes—
209C2×C3×D4#4112yes—
210C2×C3×D4#4112yes—
211C22×C3×C4—24no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—42no—
215C22×C3×C4—42no—
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2411yescharacteristic
219C2×#67—42no—
220C2×#67—42no—
221C2×#67—42no—
222C2×#67—42no—
223C2×#67—42no—
224C2×#67—42no—
225C22×Dic3—24no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—24no—
229C22×Dic3—21no—
230C22×Dic3—42no—
231C22×Dic3—42no—
232C22×Dic3—42no—
233C22×Dic3—42no—
234C22×Dic3C2×D411yescharacteristic
235C22×Dic3C2×D411yescharacteristic
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
238C2×D12—21no—
239C2×D12—21no—
240C2×D12—21no—
241C2×D12—21no—
242C2×D12—21no—
243C2×D12—21no—
244C2×Dic6—42no—
245C2×Dic6—42no—
246C2×Dic6—42no—
247C3×D8—44no—
248C2×C3×C8—21no—
249C2×C3×C8—21no—
250C2×C3×C8—21no—
251C2×C3×C8—21no—
252C2×C3×C8—21no—
253C2×C3×C8—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4#4112yes—
258C3×C22⋊C4—24no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C42—21no—
262C3×C42—21no—
263#217—24no—
264#217—24no—
265#217—42no—
266#217—42no—
267#213—44no—
268(C2×D3)⋊C4—42no—
269(C2×D3)⋊C4—42no—
270(C2×D3)⋊C4—42no—
271(C2×D3)⋊C4—42no—
272C4⋊Dic3—21no—
273C4⋊Dic3—21no—
274C4⋊Dic3—21no—
275C4⋊Dic3—21no—
276C4⋊Dic3C2×D412yes—
277C4⋊Dic3#4112yes—
278Dic3⋊C4—42no—
279C4×Dic3—21no—
280C4×Dic3—21no—
281C4×Dic3—22no—
282C4×Dic3—41no—
283C4×Dic3—41no—
284C4×Dic3—42no—
285C4×Dic3—42no—
286C4×Dic3—42no—
287C4×Dic3D814yescomplemented
288C4×Dic3C2×D412yes—
289C4×Dic3#4112yes—
290C2×C3⋊C8—21no—
291C2×C3⋊C8—21no—
292C2×C3⋊C8—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C22×Q8—61no—
297C22×D4—31no—
298C22×D4—61no—
299C22×D4—61no—
300C22×D4C22×D311yescharacteristic
301C22×D4C22×D311yescharacteristic
302C23×C4—21no—
303C23×C4—61no—
304C23×C4—61no—
305C2×D8—22no—
306C2×D8—22no—
307C2×D8—22no—
308C2×D8—62no—
309C2×D8—62no—
310C2×D8—62no—
311C22×C8—31no—
312C22×C8—31no—
313C22×C8C22×D311yescharacteristic
314C22×C8C22×D311yescharacteristic
315C4⋊Q8—62no—
316C4⋊Q8—62no—
317#127—62no—
318#127—62no—
319#124—124no—
320#124—124no—
321C4×D4—22no—
322C4×D4—22no—
323C4×D4—34no—
324C4×D4—62no—
325C4×D4—62no—
326C4×D4—62no—
327C2×C4⋊C4—31no—
328C2×C4⋊C4—31no—
329C2×C4⋊C4—31no—
330C2×C4⋊C4—61no—
331C2×C4⋊C4C22×D311yescharacteristic
332C2×C4⋊C4C22×D311yescharacteristic
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—21no—
336C2×C22⋊C4—61no—
337C2×C22⋊C4—61no—
338C2×C22⋊C4—61no—
339C2×C22⋊C4—61no—
340C2×C22⋊C4—61no—
341C2×C22⋊C4—61no—
342C2×C22⋊C4—61no—
343C2×C22⋊C4—61no—
344C2×C42—31no—
345C2×C42—31no—
346C2×C42—31no—
347C2×C42—31no—
348C2×C42—31no—
349C2×C42—31no—
350C2×C42—61no—
351C2×C42—61no—
352C2×C42—61no—
353C2×C42—124no—
354C2×C42C22×D311yescharacteristic
355#107—62no—
356#107—62no—
357C4⋊C8—62no—
358C4⋊C8—62no—
359#102—22no—
360#102—22no—
361#102—62no—
362#102—62no—
363#102—62no—
364#102—62no—
365#102—62no—
366#102—62no—
367#95—61no—
368#95—61no—
369#95—61no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—41no—
374C23×C3—41no—
375C23×C3—41no—
376C23×C3—41no—
377C23×C3—41no—
378C23×C3—41no—
379C23×C3—41no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3C22×D411yescharacteristic
385C22×D3—41no—
386C22×D3—41no—
387C22×D3—41no—
388C22×D3—41no—
389C22×D3—41no—
390C22×D3—41no—
391C22×D3—41no—
392C3×D4—22no—
393C3×D4—22no—
394C3×D4—22no—
395C3×D4—41no—
396C3×D4—41no—
397C3×D4—41no—
398C3×D4—41no—
399C3×D4#12414yescomplemented
400C2×C3×C4—21no—
401C2×C3×C4—21no—
402C2×C3×C4—21no—
403C2×C3×C4—22no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—48no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4C2×D812yes—
413C2×C3×C4C22×D411yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4C2×#4111yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418C2×C3×C4C2×#4111yescharacteristic
419#67—84no—
420#67—84no—
421C2×Dic3—21no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—22no—
426C2×Dic3—21no—
427C2×Dic3—22no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—48no—
431C2×Dic3—41no—
432C2×Dic3—41no—
433C2×Dic3—41no—
434C2×Dic3—41no—
435C2×Dic3—48no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3#12112yes—
440C2×Dic3#12112yes—
441C2×Dic3C2×D812yes—
442C2×Dic3C2×D812yes—
443C2×Dic3AGL(1,ℤ/8)12yes—
444D12—41no—
445D12—41no—
446D12—41no—
447D12—41no—
448Dic6—84no—
449C3×C8—41no—
450C3×C8—41no—
451C3⋊C8—41no—
452C3⋊C8—41no—
453C24—21no—
454C24—21no—
455C24—61no—
456C2×Q8—122no—
457C2×Q8—122no—
458C2×Q8—122no—
459C2×D4—21no—
460C2×D4—21no—
461C2×D4—21no—
462C2×D4—21no—
463C2×D4—21no—
464C2×D4—21no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—61no—
469C2×D4—61no—
470C2×D4—61no—
471C2×D4—61no—
472C2×D4—61no—
473C2×D4—61no—
474C2×D4—122no—
475C2×D4—122no—
476C2×D4—122no—
477C2×D4—122no—
478C2×D4—122no—
479C2×D4—122no—
480C2×D4#23512yes—
481C2×D4D3×D412yes—
482C2×D4#23712yes—
483C22×C4—24no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—31no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—64no—
493C22×C4—64no—
494C22×C4—61no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—122no—
498C22×C4—122no—
499C22×C4—122no—
500C22×C4—122no—
501C22×C4D3×D411yescharacteristic
502C22×C4D3×D411yescharacteristic
503C22×C4C23×D311yescharacteristic
504D8—44no—
505D8—124no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—61no—
513C2×C8—61no—
514C2×C8—61no—
515C2×C8—61no—
516C2×C8—61no—
517C2×C8—61no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—32no—
522C4⋊C4—32no—
523C4⋊C4—61no—
524C4⋊C4—61no—
525C4⋊C4—61no—
526C4⋊C4—61no—
527C4⋊C4—122no—
528C4⋊C4#23712yes—
529C22⋊C4—24no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—64no—
533C22⋊C4—64no—
534C22⋊C4—122no—
535C22⋊C4—122no—
536C22⋊C4—122no—
537C22⋊C4—122no—
538C22⋊C4—122no—
539C22⋊C4—122no—
540C42—21no—
541C42—21no—
542C42—34no—
543C42—32no—
544C42—32no—
545C42—62no—
546C42—61no—
547C42—61no—
548C42—121no—
549C42—121no—
550C42—122no—
551C42—122no—
552C42—122no—
553C22×C3—24no—
554C22×C3—42no—
555C22×C3—42no—
556C22×C3—42no—
557C22×C3—42no—
558C22×C3—42no—
559C22×C3—42no—
560C22×C3—81no—
561C22×C3—81no—
562C22×C3—81no—
563C22×C3—81no—
564C22×C3—81no—
565C22×C3—81no—
566C22×C3—81no—
567C22×C3C2×#12111yescharacteristic
568C22×C3#52511yescharacteristic
569C22×C3#52511yescharacteristic
570C22×C3C22×D811yescharacteristic
571C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
572C22×C3#57511yescharacteristic
573C22×C3#57511yescharacteristic
574C2×D3—81no—
575C2×D3—81no—
576C2×D3—81no—
577C2×D3—81no—
578C2×D3—81no—
579C2×D3—81no—
580C2×D3—81no—
581C3×C4—22no—
582C3×C4—42no—
583C3×C4—41no—
584C3×C4—81no—
585C3×C4C2×#12411yescharacteristic
586C3×C4#52911yescharacteristic
587C3×C4#52911yescharacteristic
588C3×C4#53211yescharacteristic
589Dic3—22no—
590Dic3—22no—
591Dic3—42no—
592Dic3—41no—
593Dic3—42no—
594Dic3—81no—
595Dic3#45914yes—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—121no—
611C23—121no—
612C23—121no—
613C23—121no—
614C23—121no—
615C23—121no—
616C23—121no—
617C23C2×D3×D411yescharacteristic
618Q8—244no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—41no—
626D4—121no—
627D4—121no—
628D4—121no—
629D4—121no—
630D4—244no—
631D4—244no—
632D4#88514yescomplemented
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—32no—
640C2×C4—32no—
641C2×C4—32no—
642C2×C4—32no—
643C2×C4—32no—
644C2×C4—48no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—62no—
658C2×C4—62no—
659C2×C4—128no—
660C2×C4—128no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4D3×D812yes—
669C2×C4C2×#23511yescharacteristic
670C2×C4C2×D3×D411yescharacteristic
671C2×C4C2×#23711yescharacteristic
672C2×C4C2×#23711yescharacteristic
673C2×C4D3×#4111yescharacteristic
674C2×C4D3×#4111yescharacteristic
675C8—41no—
676C8—41no—
677C8—121no—
678C8—121no—
679C2×C3—44no—
680C2×C3—161no—
681C2×C3#285011yescharacteristic
682C2×C3C2×#45911yescharacteristic
683C2×C3#304011yescharacteristic
684C2×C3#310011yescharacteristic
685C2×C3#310011yescharacteristic
686C2×C3#311511yescharacteristic
687C2×C3#311511yescharacteristic
688D3—161no—
689C22—24no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—42no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—81no—
702C22—81no—
703C22—241no—
704C22—241no—
705C22—241no—
706C22—241no—
707C22—241no—
708C22—241no—
709C22—241no—
710C22#554711yescharacteristic
711C22#558611yescharacteristic
712C22D3×#12111yescharacteristic
713C22C2×D3×D811yescharacteristic
714C22#576811yescharacteristic
715C22D3×AGL(1,ℤ/8)11yescharacteristic
716C22#577311yescharacteristic
717C4—22no—
718C4—34no—
719C4—42no—
720C4—41no—
721C4—62no—
722C4—62no—
723C4—81no—
724C4—121no—
725C4—122no—
726C4—122no—
727C4—241no—
728C4C2×#88511yescharacteristic
729C4#553811yescharacteristic
730C4#559611yescharacteristic
731C4#564911yescharacteristic
732C3#3302411yescharacteristic, complemented, Sylow
733C2—44no—
734C2—161no—
735C2—481no—
736C2#7486911yescharacteristic
737C2#7959011yescharacteristic
738C2#7987211yescharacteristic
739C2#7998811yescharacteristic
740C2#8007111yescharacteristic
741C2D3×#45911yescharacteristic
742C2#8053511yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1879C2
socleC23×C3C22×D4
prime radicalC2×#5150C2
hypercenter#1879D3
hypocenterC3#33024
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1879

Complements

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

NH ≅ G/Ntype
2. C4×D4×Dic3C2semidirect
3. C2×#4759C2semidirect
4. #76424C2semidirect
5. C3×#1879C2semidirect
6. #72037C2semidirect
7. #71613C2semidirect
8. #70172C2semidirect
9. #70161C2semidirect
10. #70155C2semidirect
11. #69636C2semidirect
12. #68800C2semidirect
13. #68791C2semidirect
14. #68625C2semidirect
15. #68605C2semidirect
75. #1879D3semidirect
287. C4×Dic3D8semidirect
399. C3×D4#124semidirect
632. D4#885semidirect
732. C3#33024semidirect

Maximal subgroups

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

subgroupindex
C2×#51502
C4×D4×Dic32
C2×#47592
#764242
C3×#18792
#720372
#716132
#701722
#701612
#701552
#696362
#688002
#687912
#686252
#686052
#330243