Finite Group Databasebeta

← #10838951

Subgroups — #10838951

Order 768.

1042 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×D8C211yesmaximal, characteristic, complemented
2C2×#5158C211yesmaximal, characteristic
3#82405C211yesmaximal, characteristic, complemented
4#82330C211yesmaximal, characteristic, complemented
5#72037C211yesmaximal, characteristic, complemented
6#71612C211yesmaximal, characteristic, complemented
7#71607C211yesmaximal, characteristic, complemented
8#70645C211yesmaximal, characteristic, complemented
9#70636C211yesmaximal, characteristic, complemented
10#70217C211yesmaximal, characteristic, complemented
11#70207C211yesmaximal, characteristic, complemented
12#70199C211yesmaximal, characteristic, complemented
13#70154C211yesmaximal, characteristic, complemented
14#69785C211yesmaximal, characteristic, complemented
15#69767C211yesmaximal, characteristic, complemented
16#24895—31nomaximal, Sylow
17C22×#237C2211yescharacteristic
18C22×C3×D8C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×C4×D4C2211yescharacteristic
21C2×#938C2211yescharacteristic
22C2×D4×Dic3C2211yescharacteristic
23C22×#214C2211yescharacteristic
24C3×C4×D8—24no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×C4×C8C2211yescharacteristic
29#5221C2211yescharacteristic
30C2×#832C2211yescharacteristic
31C2×#832C2211yescharacteristic
32C2×#832C2211yescharacteristic
33#5213—21no—
34#5213—21no—
35#5211—21no—
36C2×C3⋊#95—21no—
37#5158—24no—
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×#816C2211yescharacteristic
41C2×#816C2211yescharacteristic
42C2×Dic3⋊C8C2211yescharacteristic
43#4987C2211yescharacteristic
44#4987C2211yescharacteristic
45#4977C2211yescharacteristic
46#4973C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#808C2211yescharacteristic
49#4959—21no—
50#4958—21no—
51#4952—21no—
52#4943—21no—
53C4×(C2×D3)⋊C4C2211yescharacteristic
54#4929C2211yescharacteristic
55#4928C2211yescharacteristic
56#4551C2211yescharacteristic
57#4551C2211yescharacteristic
58#4550C2211yescharacteristic
59#4529C2211yescharacteristic
60#4529C2211yescharacteristic
61#4524C2211yescharacteristic
62C2×#449—31no—
63C2×C4×D8D311yescharacteristic, complemented
64#2420—31no—
65#2339—31no—
66#2097—31no—
67#2075—31no—
68#2055—31no—
69#2034—31no—
70#1933—31no—
71#1923—31no—
72#1879—31no—
73#1877—31no—
74#1864—31no—
75#1804—31no—
76#1788—31no—
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4—21no—
81C22×#67—21no—
82C22×#67—21no—
83C23×Dic3—21no—
84C23×Dic3—21no—
85C2×#237—22no—
86C2×#237—22no—
87C2×#237—22no—
88C2×#237—22no—
89C2×#237—41no—
90C2×#237—41no—
91C22×C4×D3C2311yescharacteristic
92C22×Dic6C2311yescharacteristic
93C2×C3×D8—22no—
94C2×C3×D8—22no—
95C2×C3×D8D414yes—
96C22×C3×C8C2311yescharacteristic
97C22×C3×C8C2311yescharacteristic
98C3×C4×D4—22no—
99C3×C4×D4—22no—
100C3×C4×D4—41no—
101C3×C4×D4—41no—
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C22⋊C4—21no—
105C2×C3×C22⋊C4—21no—
106C2×C3×C42C2311yescharacteristic
107C2×#217—21no—
108C2×#217—21no—
109C2×#217—21no—
110C2×#217—21no—
111#938—22no—
112#938—41no—
113D4×Dic3—22no—
114D4×Dic3—41no—
115C2×#214—22no—
116C2×#214—22no—
117C2×#214—41no—
118C2×(C2×D3)⋊C4—21no—
119C2×(C2×D3)⋊C4—21no—
120C2×(C2×D3)⋊C4D411yescharacteristic
121C2×(C2×D3)⋊C4D411yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125C2×Dic3⋊C4—21no—
126C2×C4×Dic3C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C3×#107—22no—
130C3×#102—22no—
131C3×#102—22no—
132C3×C4×C8—22no—
133#832—22no—
134#832—22no—
135#832—41no—
136C3⋊#95—21no—
137C3⋊#95—21no—
138C3⋊#95—21no—
139C3⋊#95—21no—
140C3⋊#95—21no—
141C3⋊#95—21no—
142C3⋊#95—21no—
143C3⋊#95—21no—
144C3⋊#95—21no—
145C3⋊#95D411yescharacteristic
146C3⋊#95D411yescharacteristic
147(C2×D3)⋊C8—22no—
148(C2×D3)⋊C8—41no—
149#816—22no—
150#816—22no—
151Dic3⋊C8—41no—
152#810—41no—
153#808—41no—
154C22×#41—31no—
155C22×SD16—31no—
156C22×D8C2×D311yescharacteristic
157C2×#121—31no—
158C2×C4×D4—31no—
159C2×C4×D4C2×D311yescharacteristic
160C2×C4×D4C2×D311yescharacteristic
161#449—64no—
162C4×D8—24no—
163C2×#107C2×D311yescharacteristic
164C2×#106—31no—
165C2×C4⋊C8—31no—
166C2×#103—31no—
167C2×#103—31no—
168C2×#103—31no—
169C2×#102—31no—
170C2×#102—31no—
171C2×#102—31no—
172C2×#102C2×D311yescharacteristic
173C2×#102C2×D311yescharacteristic
174C2×C22⋊C8—31no—
175C2×C22⋊C8—31no—
176C2×C4×C8C2×D311yescharacteristic
177#397—61no—
178#394—61no—
179#391—31no—
180#391—31no—
181#390—31no—
182#389—31no—
183#386—61no—
184#386—61no—
185#386—61no—
186#382—31no—
187#381—61no—
188#381—61no—
189#380—31no—
190#380—31no—
191C4×C22⋊C4—31no—
192C2×#95—61no—
193#340—31no—
194#340—31no—
195#340—31no—
196#340—31no—
197#336—31no—
198#336—31no—
199C24×C3—21no—
200C24×C3—21no—
201C23×D3C2×D411yescharacteristic
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×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4C2×D412yes—
211C2×C3×D4C2×D412yes—
212C2×C3×D4#4112yes—
213C2×C3×D4#4112yes—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—42no—
217C22×C3×C4—42no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—81no—
221C22×C3×C4—81no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C2×#67—24no—
226C2×#67—42no—
227C2×#67—42no—
228C2×#67—42no—
229C2×#67—42no—
230C2×#67—81no—
231C22×Dic3—24no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3—21no—
236C22×Dic3—42no—
237C22×Dic3—42no—
238C22×Dic3—42no—
239C22×Dic3—42no—
240C22×Dic3—81no—
241C22×Dic3C2×D411yescharacteristic
242C22×Dic3C2×D411yescharacteristic
243C22×Dic3C2×D411yescharacteristic
244#237—44no—
245#237—44no—
246#237—44no—
247#237—44no—
248C2×C4×D3—21no—
249C2×C4×D3—21no—
250C2×C4×D3—21no—
251C2×C4×D3—21no—
252C2×C4×D3—21no—
253C2×C4×D3—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6#4112yes—
260C3×D8—28no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8C2×D412yes—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—42no—
273C3×C42—21no—
274C3×C42—21no—
275#217—42no—
276#217—42no—
277#217—81no—
278#217—81no—
279#214—44no—
280(C2×D3)⋊C4—22no—
281(C2×D3)⋊C4—41no—
282(C2×D3)⋊C4—81no—
283(C2×D3)⋊C4—81no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290Dic3⋊C4—81no—
291C4×Dic3—21no—
292C4×Dic3—21no—
293C2×C3⋊C8—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×#41—62no—
300C2×#41—62no—
301C2×#41—62no—
302C2×#41—62no—
303C2×#41—121no—
304C2×#41—121no—
305C22×Q8—31no—
306C22×D4—61no—
307C22×D4—61no—
308C22×D4C22×D311yescharacteristic
309C22×D4C22×D311yescharacteristic
310C23×C4—21no—
311C23×C4—21no—
312C23×C4—31no—
313C23×C4—61no—
314C23×C4—61no—
315C2×SD16—62no—
316C2×SD16—62no—
317C2×SD16—121no—
318C2×D8—22no—
319C2×D8—22no—
320C2×D8#6714yes—
321C22×C8—31no—
322C22×C8—31no—
323C22×C8C22×D311yescharacteristic
324C22×C8C22×D311yescharacteristic
325#121—62no—
326#121—121no—
327C4×D4—22no—
328C4×D4—22no—
329C4×D4—41no—
330C4×D4—41no—
331C4×D4—62no—
332C4×D4—121no—
333C2×C4⋊C4—31no—
334C2×C4⋊C4—31no—
335C2×C4⋊C4—31no—
336C2×C4⋊C4—61no—
337C2×C4⋊C4C22×D311yescharacteristic
338C2×C4⋊C4C22×D311yescharacteristic
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—31no—
342C2×C22⋊C4—31no—
343C2×C22⋊C4—61no—
344C2×C22⋊C4—61no—
345C2×C22⋊C4—61no—
346C2×C22⋊C4—61no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—61no—
349C2×C42—31no—
350C2×C42C22×D311yescharacteristic
351#107—22no—
352#106—121no—
353C4⋊C8—121no—
354#103—62no—
355#103—62no—
356#103—121no—
357#102—22no—
358#102—22no—
359#102—62no—
360#102—62no—
361#102—121no—
362C22⋊C8—62no—
363C22⋊C8—121no—
364C4×C8—22no—
365#95—31no—
366#95—31no—
367#95—61no—
368#95—61no—
369#95—61no—
370#95—61no—
371#95—61no—
372#95—61no—
373#95—61no—
374#95—61no—
375#95—61no—
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—22no—
379C23×C3—22no—
380C23×C3—41no—
381C23×C3—41no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—41no—
385C23×C3—41no—
386C23×C3—41no—
387C23×C3—41no—
388C23×C3—41no—
389C23×C3—41no—
390C23×C3C22×D411yescharacteristic
391C22×D3—21no—
392C22×D3—21no—
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C3×D4—22no—
399C3×D4—22no—
400C3×D4—22no—
401C3×D4—22no—
402C3×D4—22no—
403C3×D4—41no—
404C3×D4—41no—
405C3×D4#12314yes—
406C2×C3×C4—21no—
407C2×C3×C4—21no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—84no—
418C2×C3×C4—84no—
419C2×C3×C4#13512yes—
420C2×C3×C4C22×D411yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423C2×C3×C4C2×#4111yescharacteristic
424C2×C3×C4H(5,𝔽2)11yescharacteristic
425C2×C3×C4H(5,𝔽2)11yescharacteristic
426#67—48no—
427#67—84no—
428C2×Dic3—22no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—48no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—84no—
451C4×D3—41no—
452C4×D3—41no—
453C4×D3—41no—
454C4×D3—41no—
455Dic6—22no—
456Dic6—22no—
457Dic6—41no—
458Dic6—41no—
459C3×C8—22no—
460C3×C8—41no—
461C3⋊C8—41no—
462C3⋊C8—41no—
463C24—21no—
464C24—21no—
465C24—31no—
466#41—124no—
467#41—124no—
468#41—124no—
469#41—124no—
470C2×Q8—32no—
471C2×Q8—61no—
472C2×Q8—61no—
473C2×Q8—61no—
474C2×Q8—61no—
475C2×Q8—61no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—64no—
485C2×D4—122no—
486C2×D4—122no—
487C2×D4—122no—
488C2×D4—122no—
489C2×D4—241no—
490C2×D4#23512yes—
491C2×D4#23512yes—
492C2×D4C2×#6712yes—
493C2×D4C2×#6712yes—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—31no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—64no—
504C22×C4—61no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—122no—
517C22×C4—122no—
518C22×C4—122no—
519C22×C4—122no—
520C22×C4—241no—
521C22×C4D3×D411yescharacteristic
522C22×C4D3×D411yescharacteristic
523C22×C4C23×D311yescharacteristic
524SD16—124no—
525D8—28no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—61no—
532C2×C8—61no—
533C2×C8—61no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C2×C8C2×#6712yes—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—241no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—62no—
552C22⋊C4—121no—
553C22⋊C4—122no—
554C22⋊C4—122no—
555C22⋊C4—241no—
556C22⋊C4—241no—
557C22⋊C4—241no—
558C22⋊C4—241no—
559C42—21no—
560C42—21no—
561C42—61no—
562C42—61no—
563C22×C3—24no—
564C22×C3—42no—
565C22×C3—42no—
566C22×C3—42no—
567C22×C3—42no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—42no—
571C22×C3—42no—
572C22×C3—42no—
573C22×C3—81no—
574C22×C3—81no—
575C22×C3—81no—
576C22×C3—81no—
577C22×C3#52511yescharacteristic
578C22×C3D4211yescharacteristic
579C22×C3#54611yescharacteristic
580C22×C3C2×#13511yescharacteristic
581C22×C3#57511yescharacteristic
582C22×C3#57611yescharacteristic
583C22×C3#57711yescharacteristic
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—41no—
588C2×D3—41no—
589C2×D3—41no—
590C2×D3—41no—
591C3×C4—22no—
592C3×C4—41no—
593C3×C4—81no—
594C3×C4—81no—
595C3×C4C2×#12311yescharacteristic
596C3×C4#53811yescharacteristic
597C3×C4#54611yescharacteristic
598C3×C4#55111yescharacteristic
599Dic3—42no—
600Dic3—41no—
601Dic3—41no—
602Dic3—41no—
603Dic3—81no—
604Dic3—81no—
605Dic3—81no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—61no—
621C23—61no—
622C23—61no—
623C23—61no—
624C23—61no—
625C23—61no—
626C23—61no—
627C23C2×D3×D411yescharacteristic
628Q8—62no—
629Q8—62no—
630Q8—121no—
631Q8—121no—
632D4—22no—
633D4—22no—
634D4—22no—
635D4—22no—
636D4—22no—
637D4—41no—
638D4—41no—
639D4—128no—
640D4—244no—
641D4#92914yes—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—62no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—84no—
664C2×C4—84no—
665C2×C4—128no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—244no—
682C2×C4#91212yes—
683C2×C4C2×#23511yescharacteristic
684C2×C4C2×#23511yescharacteristic
685C2×C4#100411yescharacteristic
686C2×C4D3×#4111yescharacteristic
687C2×C4#100911yescharacteristic
688C2×C4C22×#6711yescharacteristic
689C8—22no—
690C8—41no—
691C8—121no—
692C8—121no—
693C2×C3—44no—
694C2×C3—82no—
695C2×C3#241811yescharacteristic
696C2×C3#310211yescharacteristic
697C2×C3#311911yescharacteristic
698C2×C3#326711yescharacteristic
699C2×C3#328011yescharacteristic
700C2×C3#330311yescharacteristic
701C2×C3#332211yescharacteristic
702D3—81no—
703C22—24no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—121no—
724C22#554711yescharacteristic
725C22#555011yescharacteristic
726C22C2×#91211yescharacteristic
727C22#575711yescharacteristic
728C22#576811yescharacteristic
729C22#577011yescharacteristic
730C22D4×#6711yescharacteristic
731C4—22no—
732C4—41no—
733C4—81no—
734C4—81no—
735C4—121no—
736C4—122no—
737C4—121no—
738C4—121no—
739C4—241no—
740C4—241no—
741C4—241no—
742C4#555611yescharacteristic
743C4#556011yescharacteristic
744C4C2×#92911yescharacteristic
745C4#582911yescharacteristic
746C3#2489511yescharacteristic, complemented, Sylow
747C2—44no—
748C2—82no—
749C2—241no—
750C2#7959111yescharacteristic
751C2#7959511yescharacteristic
752C2#7961011yescharacteristic
753C2#7961111yescharacteristic
754C2#8240411yescharacteristic
755C2#8383911yescharacteristic
756C2#8392111yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×C4×D8C2
socleC23×C3C22×D4
prime radicalC2×#5158C2
hypercenterC2×C4×D8D3
hypocenterC3#24895
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×D8C2semidirect
3. #82405C2semidirect
4. #82330C2semidirect
5. #72037C2semidirect
6. #71612C2semidirect
7. #71607C2semidirect
8. #70645C2semidirect
9. #70636C2semidirect
10. #70217C2semidirect
11. #70207C2semidirect
12. #70199C2semidirect
13. #70154C2semidirect
14. #69785C2semidirect
15. #69767C2semidirect
63. C2×C4×D8D3semidirect
746. C3#24895semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D82
C2×#51582
#824052
#823302
#720372
#716122
#716072
#706452
#706362
#702172
#702072
#701992
#701542
#697852
#697672
#248953