Finite Group Databasebeta

← #10822103

Subgroups — #10822103

Order 768.

2146 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
2#87268C211yesmaximal, characteristic, complemented
3C2×#5805C211yesmaximal, characteristic, complemented
4C2×#5236C211yesmaximal, characteristic, complemented
5C2×#5215C211yesmaximal, characteristic, complemented
6C2×#5132C211yesmaximal, characteristic, complemented
7#72096C214yesmaximal, complemented
8#72094C214yesmaximal, complemented
9#71982C211yesmaximal, characteristic, complemented
10#23400—31nomaximal, Sylow
11C22×C3×#41C2211yescharacteristic
12C23×C3×D4C2211yescharacteristic
13C22×#235C2211yescharacteristic
14C2×C3×AGL(1,ℤ/8)—22no—
15C2×C3×AGL(1,ℤ/8)—24no—
16C2×C3×AGL(1,ℤ/8)—24no—
17C2×C3×AGL(1,ℤ/8)C2214yes—
18C22×C3×SD16—21no—
19C22×C3×D8—21no—
20C22×C3×M16C2211yescharacteristic
21C2×#953—22no—
22#5833—22no—
23#5832—22no—
24#5830C2212yescomplemented
25#5828—22no—
26#5825C2212yescomplemented
27#5816—21no—
28#5805—24no—
29#5805—21no—
30#5805—24no—
31#5804—22no—
32C2×#940C2212yescomplemented
33C2×#938—22no—
34C2×#936C2212yescomplemented
35#5791—22no—
36C2×#926C2211yescharacteristic
37C2×#926C2211yescharacteristic
38C22×#208C2211yescharacteristic
39#5236—24no—
40C2×#837C2214yescomplemented
41#5215—22no—
42#5215C2214yescomplemented
43C2×#832—22no—
44C2×#824C2212yescomplemented
45#5132—24no—
46C2×#823C2212yescomplemented
47#4555C2214yescomplemented
48C22×AGL(1,ℤ/8)D311yescharacteristic, complemented
49#3449—31no—
50C2×#535—31no—
51C2×#421—31no—
52C2×#418—31no—
53C2×#413—31no—
54#2003—34no—
55#2002—34no—
56#1733—31no—
57C25×C3—21no—
58C2×C3×#41—21no—
59C2×C3×#41—21no—
60C2×C3×#41—22no—
61C2×C3×#41—22no—
62C2×C3×#41—22no—
63C2×C3×#41—22no—
64C2×C3×#41D412yescomplemented
65C2×C3×#41C2312yes—
66C22×C3×Q8D411yescharacteristic, complemented
67C22×C3×D4—21no—
68C22×C3×D4—21no—
69C22×C3×D4—21no—
70C22×C3×D4—22no—
71C22×C3×D4—21no—
72C22×C3×D4—21no—
73C22×C3×D4—21no—
74C22×C3×D4—22no—
75C22×C3×D4—22no—
76C22×C3×D4D411yescharacteristic, complemented
77C22×C3×D4D414yescomplemented
78C22×C3×D4C2312yes—
79C23×C3×C4—21no—
80C23×C3×C4C2311yescharacteristic
81C22×#67—24no—
82C22×#67D412yes—
83C2×#235—22no—
84C2×#235—21no—
85C2×#235—22no—
86C2×#235—22no—
87C2×#235—21no—
88C2×#235—21no—
89C2×#235—21no—
90C2×#235—22no—
91C22×D12C2311yescharacteristic
92C22×C4×D3D412yes—
93C22×Dic6C2311yescharacteristic
94C3×AGL(1,ℤ/8)—216no—
95C3×AGL(1,ℤ/8)—28no—
96C3×AGL(1,ℤ/8)—28no—
97C2×C3×SD16—28no—
98C2×C3×SD16—24no—
99C2×C3×D8—28no—
100C2×C3×D8—24no—
101C2×C3×M16—22no—
102C2×C3×M16—21no—
103C2×C3×M16D414yescomplemented
104C2×C3×M16C2312yes—
105C22×C3×C8—21no—
106#953—24no—
107#953—216no—
108C2×#217—21no—
109C2×#217—21no—
110C2×#217—24no—
111#947—22no—
112#946—24no—
113#944—22no—
114#940—24no—
115#940—22no—
116#940—24no—
117#939—28no—
118#938—216no—
119#938—24no—
120#937—24no—
121#936—24no—
122#936—22no—
123#936—24no—
124#935—24no—
125#930—24no—
126#929—24no—
127C4×#67—28no—
128#926—22no—
129#926—21no—
130#926—21no—
131#926D412yescomplemented
132#926D414yescomplemented
133#926C2312yes—
134C2×C4⋊Dic3—21no—
135C2×C4⋊Dic3D412yescomplemented
136#924—24no—
137C2×C4×Dic3—21no—
138C2×C4×Dic3C2312yes—
139C2×#208—21no—
140C2×#208—22no—
141C2×#208—22no—
142C2×#208C2312yes—
143C22×C3⋊C8—21no—
144#837—28no—
145#832—28no—
146#824—24no—
147#823—24no—
148C22×#41—31no—
149C22×#41C2×D311yescharacteristic
150C23×D4C2×D311yescharacteristic
151C2×AGL(1,ℤ/8)—22no—
152C2×AGL(1,ℤ/8)—24no—
153C2×AGL(1,ℤ/8)—24no—
154C2×AGL(1,ℤ/8)C2×D314yes—
155C22×SD16—21no—
156C22×D8—21no—
157C22×M16—31no—
158C22×M16C2×D311yescharacteristic
159#537—62no—
160#536—32no—
161#536—61no—
162#535—32no—
163#535—64no—
164#535—64no—
165#535—61no—
166#534—62no—
167#532—62no—
168C2×#127—32no—
169C2×#124—32no—
170#525—62no—
171#525—62no—
172C2×#121—62no—
173C2×#120—62no—
174C2×#117—31no—
175C2×#117—31no—
176#421—64no—
177C2×#104—34no—
178#418—34no—
179#418—62no—
180C2×#102—62no—
181#413—64no—
182C2×#101—32no—
183C2×#100—32no—
184#339—34no—
185C24×C3—22no—
186C24×C3—24no—
187C24×C3—21no—
188C24×C3—41no—
189C24×C3—41no—
190C24×C3—42no—
191C24×C3—84no—
192C24×C3C2×D411yescharacteristic
193C23×D3C2×D412yes—
194C3×#41—24no—
195C3×#41—24no—
196C3×#41—22no—
197C3×#41—22no—
198C3×#41—22no—
199C3×#41—22no—
200C3×#41—42no—
201C3×#41—42no—
202C3×#41—42no—
203C3×#41—42no—
204C2×C3×Q8—21no—
205C2×C3×Q8—22no—
206C2×C3×Q8—22no—
207C2×C3×Q8C2×D412yes—
208C2×C3×D4—22no—
209C2×C3×D4—22no—
210C2×C3×D4—22no—
211C2×C3×D4—24no—
212C2×C3×D4—24no—
213C2×C3×D4—24no—
214C2×C3×D4—21no—
215C2×C3×D4—24no—
216C2×C3×D4—24no—
217C2×C3×D4—22no—
218C2×C3×D4—22no—
219C2×C3×D4—22no—
220C2×C3×D4—22no—
221C2×C3×D4—22no—
222C2×C3×D4—22no—
223C2×C3×D4—42no—
224C2×C3×D4—42no—
225C2×C3×D4—41no—
226C2×C3×D4—41no—
227C2×C3×D4—42no—
228C2×C3×D4—42no—
229C2×C3×D4—42no—
230C2×C3×D4—42no—
231C2×C3×D4—42no—
232C2×C3×D4C2×D412yes—
233C2×C3×D4C2×D414yes—
234C22×C3×C4—21no—
235C22×C3×C4—22no—
236C22×C3×C4—22no—
237C22×C3×C4—42no—
238C22×C3×C4—42no—
239C22×C3×C4C2×D411yescharacteristic
240C22×C3×C4C2×D411yescharacteristic
241C22×C3×C4C2×D411yescharacteristic
242C22×C3×C4C2×D412yes—
243C22×C3×C4C2×D411yescharacteristic
244C22×C3×C4C2×D411yescharacteristic
245C22×C3×C4C2×D412yes—
246C22×C3×C4C2×D412yes—
247C22×C3×C4#4112yes—
248C22×C3×C4C2411yescharacteristic
249C2×#67—22no—
250C2×#67—22no—
251C2×#67—24no—
252C2×#67—24no—
253C2×#67—28no—
254C2×#67—216no—
255C2×#67—88no—
256C22×Dic3—22no—
257C22×Dic3—22no—
258C22×Dic3C2×D412yes—
259#235—42no—
260#235—42no—
261#235—42no—
262#235—42no—
263#235—42no—
264#235—42no—
265#235—42no—
266#235—42no—
267C2×D12—21no—
268C2×D12—21no—
269C2×D12—21no—
270C2×D12—21no—
271C2×D12—21no—
272C2×D12—21no—
273C2×C4×D3—22no—
274C2×C4×D3—24no—
275C2×C4×D3—22no—
276C2×C4×D3—24no—
277C2×Dic6—21no—
278C2×Dic6—21no—
279C2×Dic6—21no—
280C2×Dic6—21no—
281C2×Dic6—21no—
282C2×Dic6—21no—
283C3×SD16—216no—
284C3×D8—216no—
285C3×M16—24no—
286C3×M16—22no—
287C3×M16C2×D414yes—
288C2×C3×C8—24no—
289C2×C3×C8—22no—
290#217—28no—
291#217—216no—
292#217—22no—
293#217—24no—
294#217—22no—
295(C2×D3)⋊C4—28no—
296C4⋊Dic3—24no—
297C4⋊Dic3—22no—
298C4⋊Dic3C2×D414yes—
299Dic3⋊C4—28no—
300C4×Dic3—22no—
301C4×Dic3—22no—
302C4×Dic3—22no—
303C4×Dic3C2×D414yes—
304#208—22no—
305#208—22no—
306#208—42no—
307C2×C3⋊C8—22no—
308C2×C3⋊C8—42no—
309C25—21no—
310C2×#41—21no—
311C2×#41—21no—
312C2×#41—22no—
313C2×#41—22no—
314C2×#41—22no—
315C2×#41—22no—
316C2×#41—61no—
317C2×#41—62no—
318C2×#41—61no—
319C2×#41—62no—
320C2×#41—61no—
321C2×#41—62no—
322C2×#41—61no—
323C2×#41—62no—
324C2×#41#6712yescomplemented
325C2×#41C22×D312yes—
326C22×Q8—31no—
327C22×Q8#6711yescharacteristic, complemented
328C22×D4—21no—
329C22×D4—21no—
330C22×D4—21no—
331C22×D4—21no—
332C22×D4—22no—
333C22×D4—22no—
334C22×D4—21no—
335C22×D4—21no—
336C22×D4—22no—
337C22×D4—32no—
338C22×D4—31no—
339C22×D4—64no—
340C22×D4#6711yescharacteristic, complemented
341C22×D4#6714yescomplemented
342C22×D4C22×D312yes—
343C23×C4—21no—
344C23×C4—32no—
345C23×C4C22×D311yescharacteristic
346AGL(1,ℤ/8)—216no—
347AGL(1,ℤ/8)—28no—
348AGL(1,ℤ/8)—28no—
349C2×SD16—28no—
350C2×SD16—24no—
351C2×D8—28no—
352C2×D8—24no—
353C2×M16—22no—
354C2×M16—21no—
355C2×M16—32no—
356C2×M16—61no—
357C2×M16—62no—
358C2×M16—62no—
359C2×M16#6714yescomplemented
360C2×M16C22×D312yes—
361C22×C8—21no—
362C22×C8—61no—
363C4⋊Q8—62no—
364#127—64no—
365#127—64no—
366#127—62no—
367#124—64no—
368#124—62no—
369#124—64no—
370#124—62no—
371#123—64no—
372#123—64no—
373C22⋊Q8—64no—
374C22⋊Q8—64no—
375#121—64no—
376#121—616no—
377#121—64no—
378#121—68no—
379#120—64no—
380#120—616no—
381#120—64no—
382C4×D4—68no—
383#117—34no—
384#117—32no—
385#117—32no—
386#117—61no—
387#117—62no—
388#117—61no—
389C2×C4⋊C4—32no—
390C2×C4⋊C4—61no—
391C2×C22⋊C4—64no—
392C2×C22⋊C4—61no—
393C2×C22⋊C4—61no—
394C2×C42—32no—
395C2×C42—61no—
396#104—68no—
397#102—68no—
398#101—64no—
399#100—64no—
400C23×C3—22no—
401C23×C3—24no—
402C23×C3—42no—
403C23×C3—48no—
404C23×C3—42no—
405C23×C3—42no—
406C23×C3—42no—
407C23×C3—44no—
408C23×C3—44no—
409C23×C3—82no—
410C23×C3—84no—
411C23×C3—84no—
412C23×C3—88no—
413C23×C3—88no—
414C23×C3#12011yescharacteristic
415C23×C3#12011yescharacteristic
416C23×C3#12012yes—
417C23×C3#12112yes—
418C23×C3C22×D411yescharacteristic
419C22×D3—22no—
420C22×D3—22no—
421C22×D3—22no—
422C22×D3—44no—
423C3×Q8—22no—
424C3×Q8—22no—
425C3×Q8—42no—
426C3×D4—22no—
427C3×D4—24no—
428C3×D4—24no—
429C3×D4—22no—
430C3×D4—42no—
431C3×D4—42no—
432C3×D4—44no—
433C3×D4—42no—
434C3×D4—42no—
435C3×D4—44no—
436C3×D4—44no—
437C3×D4—42no—
438C2×C3×C4—22no—
439C2×C3×C4—42no—
440C2×C3×C4—42no—
441C2×C3×C4—42no—
442C2×C3×C4—44no—
443C2×C3×C4#12011yescharacteristic
444C2×C3×C4#12012yes—
445C2×C3×C4#12011yescharacteristic
446C2×C3×C4#12012yes—
447C2×C3×C4#12012yes—
448C2×C3×C4#12112yes—
449C2×C3×C4#12112yes—
450C2×C3×C4#12112yes—
451C2×C3×C4#12112yes—
452C2×C3×C4#12112yes—
453C2×C3×C4#12712yes—
454C2×C3×C4#12712yes—
455C2×C3×C4C22×D411yescharacteristic
456C2×C3×C4C22×D411yescharacteristic
457C2×C3×C4C22×D411yescharacteristic
458C2×C3×C4C22×D411yescharacteristic
459C2×C3×C4C22×D411yescharacteristic
460C2×C3×C4C2×#4111yescharacteristic
461#67—44no—
462#67—44no—
463#67—88no—
464#67—816no—
465C2×Dic3—24no—
466C2×Dic3—24no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—44no—
471C2×Dic3—82no—
472D12—41no—
473D12—41no—
474D12—41no—
475D12—41no—
476C4×D3—44no—
477C4×D3—44no—
478Dic6—41no—
479Dic6—41no—
480Dic6—41no—
481Dic6—41no—
482C3×C8—24no—
483C3⋊C8—42no—
484C24—22no—
485C24—21no—
486C24—24no—
487C24—32no—
488C24—41no—
489C24—41no—
490C24—42no—
491C24—84no—
492C24D3×D411yescharacteristic
493#41—24no—
494#41—24no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—42no—
500#41—42no—
501#41—42no—
502#41—42no—
503#41—122no—
504#41—122no—
505#41—122no—
506#41—122no—
507#41—122no—
508#41—122no—
509#41—122no—
510#41—122no—
511C2×Q8—21no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—61no—
515C2×Q8—61no—
516C2×Q8—61no—
517C2×Q8—61no—
518C2×Q8—61no—
519C2×Q8—61no—
520C2×Q8C2×#6712yes—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—24no—
524C2×D4—21no—
525C2×D4—24no—
526C2×D4—24no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—24no—
530C2×D4—24no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—41no—
539C2×D4—41no—
540C2×D4—42no—
541C2×D4—42no—
542C2×D4—42no—
543C2×D4—42no—
544C2×D4—42no—
545C2×D4—64no—
546C2×D4—62no—
547C2×D4—62no—
548C2×D4—64no—
549C2×D4—68no—
550C2×D4—616no—
551C2×D4—61no—
552C2×D4—61no—
553C2×D4—61no—
554C2×D4—61no—
555C2×D4—61no—
556C2×D4—61no—
557C2×D4—248no—
558C2×D4C2×#6712yes—
559C2×D4C2×#6714yes—
560C22×C4—21no—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—32no—
564C22×C4—42no—
565C22×C4—42no—
566C22×C4—62no—
567C22×C4—62no—
568C22×C4—62no—
569C22×C4—64no—
570C22×C4—62no—
571C22×C4—64no—
572C22×C4D3×D411yescharacteristic
573C22×C4D3×D411yescharacteristic
574C22×C4D3×D411yescharacteristic
575C22×C4D3×D412yes—
576C22×C4#23712yes—
577C22×C4C2×#6711yescharacteristic
578C22×C4C2×#6711yescharacteristic
579C22×C4C2×#6712yes—
580C22×C4C2×#6712yes—
581C22×C4C23×D311yescharacteristic
582SD16—216no—
583D8—216no—
584M16—24no—
585M16—22no—
586M16—62no—
587M16—62no—
588M16—122no—
589M16C2×#6714yes—
590C2×C8—24no—
591C2×C8—22no—
592C2×C8—62no—
593C2×C8—122no—
594C4⋊C4—34no—
595C4⋊C4—68no—
596C4⋊C4—62no—
597C4⋊C4—64no—
598C22⋊C4—68no—
599C22⋊C4—616no—
600C22⋊C4—68no—
601C22⋊C4—64no—
602C22⋊C4—62no—
603C22⋊C4—62no—
604C42—34no—
605C42—62no—
606C42—62no—
607C42—62no—
608C22×C3—22no—
609C22×C3—22no—
610C22×C3—22no—
611C22×C3—42no—
612C22×C3—42no—
613C22×C3—48no—
614C22×C3—42no—
615C22×C3—44no—
616C22×C3—44no—
617C22×C3—84no—
618C22×C3—84no—
619C22×C3—88no—
620C22×C3—88no—
621C22×C3—84no—
622C22×C3#39212yes—
623C22×C3#39212yes—
624C22×C3C2×#12011yescharacteristic
625C22×C3C2×#12011yescharacteristic
626C22×C3C2×#12111yescharacteristic
627C2×D3—44no—
628C2×D3—42no—
629C2×D3—44no—
630C2×D3—82no—
631C3×C4—42no—
632C3×C4#39212yes—
633C3×C4#39212yes—
634C3×C4C2×#12011yescharacteristic
635C3×C4C2×#12111yescharacteristic
636C3×C4C2×#12111yescharacteristic
637C3×C4C2×#12711yescharacteristic
638Dic3—44no—
639Dic3—42no—
640Dic3—44no—
641C23—24no—
642C23—22no—
643C23—42no—
644C23—48no—
645C23—42no—
646C23—44no—
647C23—44no—
648C23—42no—
649C23—42no—
650C23—62no—
651C23—62no—
652C23—62no—
653C23—82no—
654C23—84no—
655C23—84no—
656C23—88no—
657C23—88no—
658C23—124no—
659C23#93711yescharacteristic
660C23#93711yescharacteristic
661C23#93712yes—
662C23#93812yes—
663C23C2×D3×D411yescharacteristic
664Q8—22no—
665Q8—22no—
666Q8—42no—
667Q8—121no—
668Q8—121no—
669Q8—121no—
670Q8—121no—
671D4—24no—
672D4—22no—
673D4—22no—
674D4—24no—
675D4—44no—
676D4—42no—
677D4—42no—
678D4—44no—
679D4—44no—
680D4—42no—
681D4—42no—
682D4—42no—
683D4—124no—
684D4—124no—
685D4—121no—
686D4—121no—
687D4—121no—
688D4—121no—
689D4—2416no—
690D4—248no—
691C2×C4—22no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—64no—
697C2×C4—62no—
698C2×C4—64no—
699C2×C4—62no—
700C2×C4—62no—
701C2×C4—124no—
702C2×C4—124no—
703C2×C4—124no—
704C2×C4—242no—
705C2×C4#93712yes—
706C2×C4#93711yescharacteristic
707C2×C4#93711yescharacteristic
708C2×C4#93812yes—
709C2×C4#93912yes—
710C2×C4#93912yes—
711C2×C4#93912yes—
712C2×C4#93912yes—
713C2×C4#94012yes—
714C2×C4#94012yes—
715C2×C4#95312yes—
716C2×C4#95312yes—
717C2×C4C2×D3×D411yescharacteristic
718C2×C4C2×D3×D411yescharacteristic
719C2×C4C2×#23711yescharacteristic
720C2×C4C22×#6711yescharacteristic
721C2×C4C22×#6711yescharacteristic
722C2×C4C22×#6711yescharacteristic
723C8—24no—
724C8—122no—
725C2×C3—21no—
726C2×C3—21no—
727C2×C3—22no—
728C2×C3—22no—
729C2×C3—82no—
730C2×C3—84no—
731C2×C3C2×#39211yescharacteristic
732C2×C3#302112yes—
733D3—82no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—42no—
738C22—42no—
739C22—48no—
740C22—42no—
741C22—44no—
742C22—44no—
743C22—84no—
744C22—88no—
745C22—88no—
746C22—84no—
747C22—84no—
748C22—124no—
749C22—122no—
750C22—124no—
751C22—242no—
752C22#522312yes—
753C22#522312yes—
754C22C2×#93711yescharacteristic
755C22C2×#93711yescharacteristic
756C22C2×#93811yescharacteristic
757C4—42no—
758C4—124no—
759C4—122no—
760C4—124no—
761C4#522312yes—
762C4#522312yes—
763C4C2×#93911yescharacteristic
764C4C2×#93911yescharacteristic
765C4C2×#94011yescharacteristic
766C4C2×#95311yescharacteristic
767C3#2340011yescharacteristic, complemented, Sylow
768C2—21no—
769C2—22no—
770C2—21no—
771C2—22no—
772C2—84no—
773C2—82no—
774C2—242no—
775C2#8395712yes—
776C2C2×#522311yescharacteristic
subgroupG/H
centerC22C2×#937
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC22×C3×AGL(1,ℤ/8)C2
socleC22×C3C2×#120
hypercenterC22×AGL(1,ℤ/8)D3
hypocenterC3#23400
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C22×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. C22×C3×AGL(1,ℤ/8)C2semidirect
2. #87268C2semidirect
3. C2×#5805C2semidirect
4. C2×#5236C2semidirect
5. C2×#5215C2semidirect
6. C2×#5132C2semidirect
7. #72096C2semidirect
8. #72094C2semidirect
9. #71982C2semidirect
24. #5830C22semidirect
26. #5825C22semidirect
32. C2×#940C22semidirect
34. C2×#936C22semidirect
40. C2×#837C22semidirect
42. #5215C22semidirect
44. C2×#824C22semidirect
46. C2×#823C22semidirect
47. #4555C22semidirect
48. C22×AGL(1,ℤ/8)D3semidirect
64. C2×C3×#41D4semidirect
66. C22×C3×Q8D4semidirect
76. C22×C3×D4D4semidirect
77. C22×C3×D4D4semidirect
103. C2×C3×M16D4semidirect
131. #926D4semidirect
132. #926D4semidirect
135. C2×C4⋊Dic3D4semidirect
324. C2×#41#67semidirect
327. C22×Q8#67semidirect
340. C22×D4#67semidirect
341. C22×D4#67semidirect
359. C2×M16#67semidirect
767. C3#23400semidirect

Maximal subgroups

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

subgroupindex
C22×C3×AGL(1,ℤ/8)2
#872682
C2×#58052
C2×#52362
C2×#52152
C2×#51322
#720962
#720942
#719822
#234003