Finite Group Databasebeta

← #10822121

Subgroups — #10822121

Order 768.

2198 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#575C211yesmaximal, characteristic, complemented
2C2×#5830C211yesmaximal, characteristic, complemented
3C2×#5830C211yesmaximal, characteristic, complemented
4C2×#5236C211yesmaximal, characteristic, complemented
5#84072C211yesmaximal, characteristic, complemented
6C22×#823C211yesmaximal, characteristic, complemented
7#72106C214yesmaximal, complemented
8#72094C214yesmaximal, complemented
9#71982C211yesmaximal, characteristic, complemented
10#23402—31nomaximal, Sylow
11C22×C3×#41C2211yescharacteristic
12C22×C3×#41C2211yescharacteristic
13C23×D12C2211yescharacteristic
14C3×#575—24no—
15C3×#575—24no—
16C2×C3×#137—21no—
17C2×C3×#137C2212yescomplemented
18C2×C3×AGL(1,ℤ/8)—21no—
19C2×C3×AGL(1,ℤ/8)C2212yescomplemented
20C2×C3×#135—22no—
21C22×C3×M16C2211yescharacteristic
22#5830—22no—
23#5830—24no—
24#5830—22no—
25#5830—22no—
26#5830—24no—
27#5830C2214yes—
28C2×#947—21no—
29C2×#947C2212yescomplemented
30C2×#940—21no—
31C2×#940C2212yescomplemented
32C2×#937—22no—
33C2×#937—22no—
34C2×#930—22no—
35C2×#930—22no—
36C2×#926C2211yescharacteristic
37C2×#926C2211yescharacteristic
38C22×#208C2211yescharacteristic
39#5236—24no—
40C2×#837C2214yescomplemented
41#5233—22no—
42#5232—22no—
43#5225C2212yescomplemented
44#5215C2212yescomplemented
45C2×#823—24no—
46C2×#823C2214yescomplemented
47#4555C2214yescomplemented
48C2×#575D311yescharacteristic, complemented
49C2×#535—31no—
50C2×#535—31no—
51C2×#421—31no—
52#2896—31no—
53C22×#100—31no—
54#2004—34no—
55#2002—34no—
56#1733—31no—
57C24×D3D412yes—
58C2×C3×#41—21no—
59C2×C3×#41—22no—
60C2×C3×#41—21no—
61C2×C3×#41—21no—
62C2×C3×#41—21no—
63C2×C3×#41—22no—
64C2×C3×#41—22no—
65C2×C3×#41—22no—
66C2×C3×#41—21no—
67C2×C3×#41—21no—
68C2×C3×#41—22no—
69C2×C3×#41—22no—
70C2×C3×#41—22no—
71C2×C3×#41D412yescomplemented
72C2×C3×#41D414yescomplemented
73C2×C3×#41C2312yes—
74C22×C3×Q8D411yescharacteristic, complemented
75C22×C3×Q8C2311yescharacteristic
76C22×C3×D4—21no—
77C22×C3×D4—21no—
78C22×C3×D4D411yescharacteristic, complemented
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C23×C3×C4C2311yescharacteristic
83C22×#67—24no—
84C22×#67—24no—
85C22×D12—22no—
86C22×D12—21no—
87C22×D12—21no—
88C22×D12—22no—
89C22×D12—21no—
90C22×D12—21no—
91C22×D12—22no—
92C22×D12—22no—
93C22×D12D412yes—
94C22×D12C2312yes—
95C3×#137—28no—
96C3×#137—24no—
97C3×#137—24no—
98C3×AGL(1,ℤ/8)—28no—
99C3×AGL(1,ℤ/8)—24no—
100C3×AGL(1,ℤ/8)—24no—
101C3×#135—216no—
102C2×C3×Q16—22no—
103C2×C3×SD16—22no—
104C2×C3×SD16—22no—
105C2×C3×D8—22no—
106C2×C3×M16—21no—
107C2×C3×M16—22no—
108C2×C3×M16D414yescomplemented
109C2×C3×M16C2312yes—
110C22×C3×C8—21no—
111C2×#217—21no—
112C2×#217—21no—
113#947—24no—
114#947—24no—
115#947—24no—
116#947—24no—
117#940—24no—
118#940—24no—
119#940—24no—
120#940—24no—
121#937—28no—
122#937—216no—
123#937—28no—
124#930—216no—
125#930—28no—
126#930—28no—
127C2×(C2×D3)⋊C4—24no—
128C2×(C2×D3)⋊C4—24no—
129#926—21no—
130#926—21no—
131#926—22no—
132#926D412yescomplemented
133#926D414yescomplemented
134#926C2312yes—
135C2×C4⋊Dic3—21no—
136C2×C4⋊Dic3D412yescomplemented
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#835—24no—
146#832—24no—
147#823—28no—
148C22×#41C2×D311yescharacteristic
149C22×#41C2×D311yescharacteristic
150C23×D4—31no—
151#575—24no—
152#575—24no—
153C2×#137—21no—
154C2×#137C2×D312yescomplemented
155C2×AGL(1,ℤ/8)—21no—
156C2×AGL(1,ℤ/8)C2×D312yescomplemented
157C2×#135—22no—
158C22×M16—31no—
159C22×M16C2×D311yescharacteristic
160#535—34no—
161#535—64no—
162#535—62no—
163#535—62no—
164#535—62no—
165#535—64no—
166C2×#127—32no—
167C2×#127—61no—
168C2×#124—32no—
169C2×#124—61no—
170C2×#121—62no—
171C2×#121—62no—
172C2×#120—62no—
173C2×#120—62no—
174C2×#117—31no—
175C2×#117—31no—
176#421—64no—
177C2×#104—34no—
178#419—32no—
179#418—32no—
180#417—62no—
181#416—62no—
182C2×#100—34no—
183C2×#100—64no—
184#339—34no—
185C24×C3—21no—
186C24×C3—21no—
187C24×C3C2×D411yescharacteristic
188C23×D3—22no—
189C23×D3—22no—
190C23×D3—24no—
191C23×D3—24no—
192C23×D3—84no—
193C23×D3C2×D414yes—
194C3×#41—24no—
195C3×#41—24no—
196C3×#41—24no—
197C3×#41—24no—
198C3×#41—24no—
199C3×#41—24no—
200C3×#41—22no—
201C3×#41—22no—
202C3×#41—22no—
203C3×#41—22no—
204C3×#41—42no—
205C3×#41—42no—
206C3×#41—42no—
207C3×#41—42no—
208C3×#41—42no—
209C3×#41—42no—
210C3×#41—42no—
211C3×#41—42no—
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—22no—
215C2×C3×Q8—22no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8C2×D412yes—
221C2×C3×Q8C2×D412yescomplemented
222C2×C3×D4—22no—
223C2×C3×D4—24no—
224C2×C3×D4—22no—
225C2×C3×D4—22no—
226C2×C3×D4—21no—
227C2×C3×D4—22no—
228C2×C3×D4—21no—
229C2×C3×D4—21no—
230C2×C3×D4—21no—
231C2×C3×D4—21no—
232C2×C3×D4—21no—
233C2×C3×D4—41no—
234C2×C3×D4—41no—
235C2×C3×D4—42no—
236C2×C3×D4—42no—
237C2×C3×D4—42no—
238C2×C3×D4C2×D412yes—
239C2×C3×D4C2×D412yescomplemented
240C22×C3×C4—21no—
241C22×C3×C4—21no—
242C22×C3×C4—22no—
243C22×C3×C4—24no—
244C22×C3×C4—22no—
245C22×C3×C4—41no—
246C22×C3×C4—41no—
247C22×C3×C4—42no—
248C22×C3×C4—42no—
249C22×C3×C4—42no—
250C22×C3×C4C2×D411yescharacteristic
251C22×C3×C4C2×D411yescharacteristic
252C22×C3×C4C2×D411yescharacteristic
253C22×C3×C4C2×D412yes—
254C22×C3×C4C2×D411yescharacteristic
255C22×C3×C4C2×D411yescharacteristic
256C22×C3×C4C2×D412yes—
257C22×C3×C4C2×D412yes—
258C22×C3×C4#4112yes—
259C22×C3×C4C2411yescharacteristic
260C2×#67—216no—
261C2×#67—216no—
262C2×#67—88no—
263C2×#67—88no—
264C22×Dic3—22no—
265C22×Dic3—22no—
266C2×D12—22no—
267C2×D12—24no—
268C2×D12—22no—
269C2×D12—24no—
270C2×D12—22no—
271C2×D12—22no—
272C2×D12—22no—
273C2×D12—22no—
274C2×D12—22no—
275C2×D12—22no—
276C2×D12—42no—
277C2×D12—42no—
278C2×D12—42no—
279C2×D12—42no—
280C2×D12—42no—
281C2×D12—42no—
282C2×D12—42no—
283C2×D12—42no—
284C3×Q16—28no—
285C3×SD16—28no—
286C3×SD16—28no—
287C3×D8—28no—
288C3×M16—24no—
289C3×M16—22no—
290C3×M16C2×D414yescomplemented
291C2×C3×C8—24no—
292C2×C3×C8—22no—
293#217—22no—
294#217—24no—
295#217—22no—
296(C2×D3)⋊C4—216no—
297(C2×D3)⋊C4—216no—
298C4⋊Dic3—24no—
299C4⋊Dic3—22no—
300C4⋊Dic3C2×D414yes—
301C4×Dic3—22no—
302C4×Dic3—22no—
303C4×Dic3—22no—
304C4×Dic3C2×D414yescomplemented
305#208—22no—
306#208—22no—
307#208—42no—
308C2×C3⋊C8—22no—
309C2×C3⋊C8—42no—
310C25—32no—
311C2×#41—21no—
312C2×#41—22no—
313C2×#41—21no—
314C2×#41—21no—
315C2×#41—21no—
316C2×#41—22no—
317C2×#41—22no—
318C2×#41—22no—
319C2×#41—21no—
320C2×#41—21no—
321C2×#41—22no—
322C2×#41—22no—
323C2×#41—22no—
324C2×#41#6712yescomplemented
325C2×#41#6714yescomplemented
326C2×#41C22×D312yes—
327C22×Q8#6711yescharacteristic, complemented
328C22×Q8C22×D311yescharacteristic
329C22×D4—21no—
330C22×D4—21no—
331C22×D4—32no—
332C22×D4—32no—
333C22×D4—64no—
334C22×D4—64no—
335C22×D4—61no—
336C22×D4—61no—
337C22×D4—62no—
338C22×D4—62no—
339C22×D4—61no—
340C22×D4—61no—
341C22×D4—62no—
342C22×D4—62no—
343C22×D4#6711yescharacteristic, complemented
344C22×D4C22×D311yescharacteristic
345C23×C4—21no—
346C23×C4—21no—
347C23×C4C22×D311yescharacteristic
348#137—28no—
349#137—24no—
350#137—24no—
351AGL(1,ℤ/8)—28no—
352AGL(1,ℤ/8)—24no—
353AGL(1,ℤ/8)—24no—
354#135—216no—
355C2×Q16—22no—
356C2×SD16—22no—
357C2×SD16—22no—
358C2×D8—22no—
359C2×M16—21no—
360C2×M16—22no—
361C2×M16—32no—
362C2×M16—61no—
363C2×M16—62no—
364C2×M16—62no—
365C2×M16#6714yescomplemented
366C2×M16C22×D312yes—
367C22×C8—21no—
368C22×C8—61no—
369#127—64no—
370#127—64no—
371#127—64no—
372#127—64no—
373#124—64no—
374#124—64no—
375#124—64no—
376#124—64no—
377#121—68no—
378#121—68no—
379#121—616no—
380#120—68no—
381#120—616no—
382#120—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—64no—
393C2×C22⋊C4—61no—
394C2×C22⋊C4—61no—
395C2×C42—32no—
396C2×C42—61no—
397#104—68no—
398#103—64no—
399#102—64no—
400#100—68no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—42no—
404C23×C3—44no—
405C23×C3—44no—
406C23×C3—41no—
407C23×C3—41no—
408C23×C3—42no—
409C23×C3#12011yescharacteristic
410C23×C3#12011yescharacteristic
411C23×C3#12012yes—
412C23×C3#12112yes—
413C23×C3C22×D411yescharacteristic
414C22×D3—24no—
415C22×D3—24no—
416C22×D3—24no—
417C22×D3—48no—
418C22×D3—48no—
419C22×D3—44no—
420C22×D3—44no—
421C22×D3—84no—
422C22×D3—88no—
423C22×D3—88no—
424C3×Q8—22no—
425C3×Q8—22no—
426C3×Q8—22no—
427C3×Q8—22no—
428C3×Q8—41no—
429C3×Q8—41no—
430C3×Q8—42no—
431C3×D4—22no—
432C3×D4—22no—
433C3×D4—22no—
434C3×D4—22no—
435C3×D4—42no—
436C3×D4—42no—
437C3×D4—44no—
438C3×D4—44no—
439C3×D4—44no—
440C3×D4—41no—
441C3×D4—41no—
442C3×D4—42no—
443C2×C3×C4—22no—
444C2×C3×C4—22no—
445C2×C3×C4—41no—
446C2×C3×C4—41no—
447C2×C3×C4—42no—
448C2×C3×C4—42no—
449C2×C3×C4—42no—
450C2×C3×C4—44no—
451C2×C3×C4—44no—
452C2×C3×C4—44no—
453C2×C3×C4#12011yescharacteristic
454C2×C3×C4#12011yescharacteristic
455C2×C3×C4#12012yes—
456C2×C3×C4#12012yes—
457C2×C3×C4#12012yes—
458C2×C3×C4#12112yes—
459C2×C3×C4#12112yes—
460C2×C3×C4#12112yes—
461C2×C3×C4#12112yes—
462C2×C3×C4#12112yes—
463C2×C3×C4#12712yes—
464C2×C3×C4#12712yes—
465C2×C3×C4C22×D411yescharacteristic
466C2×C3×C4C22×D411yescharacteristic
467C2×C3×C4C22×D411yescharacteristic
468C2×C3×C4C22×D411yescharacteristic
469C2×C3×C4C22×D411yescharacteristic
470C2×C3×C4C2×#4111yescharacteristic
471#67—816no—
472#67—816no—
473C2×Dic3—24no—
474C2×Dic3—24no—
475C2×Dic3—44no—
476C2×Dic3—44no—
477D12—42no—
478D12—42no—
479D12—42no—
480D12—42no—
481D12—44no—
482D12—44no—
483C3×C8—24no—
484C3⋊C8—42no—
485C24—21no—
486C24—21no—
487C24—34no—
488C24—62no—
489C24—64no—
490C24—62no—
491C24—64no—
492C24—244no—
493C24D3×D411yescharacteristic
494#41—24no—
495#41—24no—
496#41—24no—
497#41—24no—
498#41—24no—
499#41—24no—
500#41—22no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—42no—
505#41—42no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—42no—
510#41—42no—
511#41—42no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—22no—
515C2×Q8—22no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8C2×#6712yes—
521C2×Q8C2×#6712yescomplemented
522C2×D4—24no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—21no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—42no—
534C2×D4—41no—
535C2×D4—41no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—616no—
539C2×D4—616no—
540C2×D4—64no—
541C2×D4—62no—
542C2×D4—62no—
543C2×D4—64no—
544C2×D4—62no—
545C2×D4—62no—
546C2×D4—62no—
547C2×D4—62no—
548C2×D4—62no—
549C2×D4—62no—
550C2×D4—122no—
551C2×D4—122no—
552C2×D4—122no—
553C2×D4—122no—
554C2×D4—122no—
555C2×D4—122no—
556C2×D4—122no—
557C2×D4—122no—
558C2×D4—248no—
559C2×D4—248no—
560C2×D4C2×#6712yes—
561C2×D4C2×#6712yescomplemented
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—24no—
565C22×C4—22no—
566C22×C4—22no—
567C22×C4—41no—
568C22×C4—41no—
569C22×C4—42no—
570C22×C4—42no—
571C22×C4—42no—
572C22×C4—62no—
573C22×C4—62no—
574C22×C4D3×D411yescharacteristic
575C22×C4D3×D411yescharacteristic
576C22×C4D3×D411yescharacteristic
577C22×C4D3×D412yes—
578C22×C4#23712yes—
579C22×C4C2×#6711yescharacteristic
580C22×C4C2×#6711yescharacteristic
581C22×C4C2×#6712yes—
582C22×C4C2×#6712yes—
583C22×C4C23×D311yescharacteristic
584Q16—28no—
585SD16—28no—
586SD16—28no—
587D8—28no—
588M16—24no—
589M16—22no—
590M16—62no—
591M16—62no—
592M16—122no—
593M16C2×#6714yescomplemented
594C2×C8—24no—
595C2×C8—22no—
596C2×C8—62no—
597C2×C8—122no—
598C4⋊C4—34no—
599C4⋊C4—62no—
600C4⋊C4—64no—
601C22⋊C4—616no—
602C22⋊C4—616no—
603C22⋊C4—64no—
604C22⋊C4—62no—
605C22⋊C4—62no—
606C42—34no—
607C42—62no—
608C42—62no—
609C42—62no—
610C22×C3—22no—
611C22×C3—22no—
612C22×C3—22no—
613C22×C3—42no—
614C22×C3—42no—
615C22×C3—44no—
616C22×C3—42no—
617C22×C3—42no—
618C22×C3—44no—
619C22×C3—82no—
620C22×C3—84no—
621C22×C3—82no—
622C22×C3#39212yes—
623C22×C3#39212yes—
624C22×C3C2×#12011yescharacteristic
625C22×C3C2×#12011yescharacteristic
626C22×C3C2×#12111yescharacteristic
627C2×D3—48no—
628C2×D3—44no—
629C2×D3—48no—
630C2×D3—88no—
631C2×D3—88no—
632C2×D3—84no—
633C3×C4—42no—
634C3×C4—42no—
635C3×C4#39212yes—
636C3×C4#39212yes—
637C3×C4C2×#12011yescharacteristic
638C3×C4C2×#12111yescharacteristic
639C3×C4C2×#12111yescharacteristic
640C3×C4C2×#12711yescharacteristic
641Dic3—44no—
642Dic3—44no—
643C23—22no—
644C23—22no—
645C23—42no—
646C23—44no—
647C23—44no—
648C23—42no—
649C23—41no—
650C23—41no—
651C23—64no—
652C23—64no—
653C23—64no—
654C23—128no—
655C23—128no—
656C23—124no—
657C23—124no—
658C23—244no—
659C23—248no—
660C23—248no—
661C23#93711yescharacteristic
662C23#93711yescharacteristic
663C23#93712yes—
664C23#93812yes—
665C23C2×D3×D411yescharacteristic
666Q8—22no—
667Q8—22no—
668Q8—22no—
669Q8—22no—
670Q8—42no—
671Q8—41no—
672Q8—41no—
673D4—22no—
674D4—22no—
675D4—22no—
676D4—22no—
677D4—44no—
678D4—44no—
679D4—44no—
680D4—42no—
681D4—42no—
682D4—42no—
683D4—41no—
684D4—41no—
685D4—124no—
686D4—124no—
687D4—122no—
688D4—122no—
689D4—122no—
690D4—122no—
691D4—2416no—
692D4—2416no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—42no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—64no—
704C2×C4—64no—
705C2×C4—124no—
706C2×C4—124no—
707C2×C4#93712yes—
708C2×C4#93711yescharacteristic
709C2×C4#93711yescharacteristic
710C2×C4#93812yes—
711C2×C4#93912yes—
712C2×C4#93912yes—
713C2×C4#93912yes—
714C2×C4#93912yes—
715C2×C4#94012yes—
716C2×C4#94012yes—
717C2×C4#95312yes—
718C2×C4#95312yes—
719C2×C4C2×D3×D411yescharacteristic
720C2×C4C2×D3×D411yescharacteristic
721C2×C4C2×#23711yescharacteristic
722C2×C4C22×#6711yescharacteristic
723C2×C4C22×#6711yescharacteristic
724C2×C4C22×#6711yescharacteristic
725C8—24no—
726C8—122no—
727C2×C3—21no—
728C2×C3—21no—
729C2×C3—22no—
730C2×C3—22no—
731C2×C3—82no—
732C2×C3—82no—
733C2×C3C2×#39211yescharacteristic
734C2×C3#301912yes—
735D3—84no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—42no—
740C22—42no—
741C22—44no—
742C22—44no—
743C22—42no—
744C22—42no—
745C22—84no—
746C22—82no—
747C22—82no—
748C22—128no—
749C22—128no—
750C22—124no—
751C22—244no—
752C22—248no—
753C22—248no—
754C22#522312yes—
755C22#522312yes—
756C22C2×#93711yescharacteristic
757C22C2×#93711yescharacteristic
758C22C2×#93811yescharacteristic
759C4—42no—
760C4—42no—
761C4—124no—
762C4—124no—
763C4#522312yes—
764C4#522312yes—
765C4C2×#93911yescharacteristic
766C4C2×#93911yescharacteristic
767C4C2×#94011yescharacteristic
768C4C2×#95311yescharacteristic
769C3#2340211yescharacteristic, complemented, Sylow
770C2—21no—
771C2—22no—
772C2—21no—
773C2—22no—
774C2—82no—
775C2—82no—
776C2—244no—
777C2#8400512yes—
778C2C2×#522311yescharacteristic
subgroupG/H
centerC22C2×#937
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×#575C2
socleC22×C3C2×#120
hypercenterC2×#575D3
hypocenterC3#23402
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#575

Complements

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

NH ≅ G/Ntype
1. C2×C3×#575C2semidirect
2. C2×#5830C2semidirect
3. C2×#5830C2semidirect
4. C2×#5236C2semidirect
5. #84072C2semidirect
6. C22×#823C2semidirect
7. #72106C2semidirect
8. #72094C2semidirect
9. #71982C2semidirect
17. C2×C3×#137C22semidirect
19. C2×C3×AGL(1,ℤ/8)C22semidirect
29. C2×#947C22semidirect
31. C2×#940C22semidirect
40. C2×#837C22semidirect
43. #5225C22semidirect
44. #5215C22semidirect
46. C2×#823C22semidirect
47. #4555C22semidirect
48. C2×#575D3semidirect
71. C2×C3×#41D4semidirect
72. C2×C3×#41D4semidirect
74. C22×C3×Q8D4semidirect
78. C22×C3×D4D4semidirect
108. C2×C3×M16D4semidirect
132. #926D4semidirect
133. #926D4semidirect
136. C2×C4⋊Dic3D4semidirect
154. C2×#137C2×D3semidirect
156. C2×AGL(1,ℤ/8)C2×D3semidirect
221. C2×C3×Q8C2×D4semidirect
239. C2×C3×D4C2×D4semidirect
290. C3×M16C2×D4semidirect
304. C4×Dic3C2×D4semidirect
324. C2×#41#67semidirect
325. C2×#41#67semidirect
327. C22×Q8#67semidirect
343. C22×D4#67semidirect
365. C2×M16#67semidirect
521. C2×Q8C2×#67semidirect
561. C2×D4C2×#67semidirect
593. M16C2×#67semidirect
769. C3#23402semidirect

Maximal subgroups

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

subgroupindex
C2×C3×#5752
C2×#58302
C2×#52362
#840722
C22×#8232
#721062
#720942
#719822
#234023