Finite Group Databasebeta

← C2×#78910 #11662016

Subgroups — C2×#78910 #11662016

Order 768.

3242 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5832C211yesmaximal, characteristic, complemented
2C22×#949C211yesmaximal, characteristic, complemented
3C22×#908C211yesmaximal, characteristic, complemented
4C22×#893C211yesmaximal, characteristic, complemented
5C2×C3×#417C211yesmaximal, characteristic, complemented
6C2×#5118C211yesmaximal, characteristic, complemented
7C2×#4966C211yesmaximal, characteristic, complemented
8#78910C2116yesmaximal, direct product factor
9C2×#4819C212yesmaximal, complemented
10C2×#4818C212yesmaximal, complemented
11C2×#4787C212yesmaximal, complemented
12C2×#4786C212yesmaximal, complemented
13C2×#3036—31nomaximal, Sylow
14C22×C3×#41C2211yescharacteristic
15C22×#235C2211yescharacteristic
16C23×D12C2211yescharacteristic
17C23×C4×D3—21no—
18C22×C3×M16C2211yescharacteristic
19C22×C3×C4⋊C4C2211yescharacteristic
20#5832—24no—
21#5832C2218yescomplemented
22C2×#949—28no—
23C2×#949C2218yescomplemented
24C2×#947C2211yescharacteristic, complemented
25C2×#944C2211yescharacteristic, complemented
26C22×#215C2212yes—
27C2×#940C2211yescharacteristic, complemented
28C2×#939—21no—
29C2×#939—21no—
30C2×#936C2211yescharacteristic, complemented
31C22×#213C2212yes—
32C2×C4×#67—21no—
33C2×C4×#67—21no—
34C22×(C2×D3)⋊C4—21no—
35C22×C4×Dic3C2211yescharacteristic
36C22×#208C2211yescharacteristic
37C2×#908—28no—
38C2×#908C2218yescomplemented
39C22×D24C2212yes—
40C22×#204C2212yes—
41C2×#893—24no—
42C2×#893—21no—
43C2×#893—21no—
44C2×#893C2212yes—
45C2×#893C2212yes—
46C2×#893C2218yescomplemented
47C3×#417C2218yescomplemented
48C2×C3×#103C2212yescomplemented
49C2×C3×#102C2212yescomplemented
50#5118C2218yescomplemented
51C2×Dic3⋊C8C2212yescomplemented
52C2×Dic3⋊C8C2212yescomplemented
53C2×#810C2212yescomplemented
54#4966C2218yescomplemented
55C2×#809C2212yescomplemented
56#4819C22116yescomplemented
57#4818C22116yescomplemented
58#4787C22116yescomplemented
59#4786C22116yescomplemented
60C22×AGL(1,ℤ/8)—31no—
61C22×AGL(1,ℤ/8)—31no—
62C2×#532—31no—
63C22×C4×D4—31no—
64#3036—316no—
65C2×#463—32no—
66C2×#463—32no—
67C2×#461—32no—
68C2×#459—32no—
69C2×#423—31no—
70C2×#417—31no—
71C2×#417D311yescharacteristic, complemented
72C24×D3—21no—
73C2×C3×#41—22no—
74C2×C3×#41—24no—
75C2×C3×#41—24no—
76C2×C3×#41C2314yes—
77C22×C3×Q8C2311yescharacteristic
78C22×C3×D4—21no—
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C23×C3×C4—21no—
82C23×C3×C4C2311yescharacteristic
83C22×#67—21no—
84C22×#67—21no—
85C22×#67—21no—
86C23×Dic3D411yescharacteristic
87C23×Dic3D411yescharacteristic
88C2×#235—22no—
89C2×#235—24no—
90C2×#235—24no—
91C2×#235C2314yes—
92C22×D12—21no—
93C22×D12—22no—
94C22×D12—24no—
95C22×D12D418yescomplemented
96C22×D12C2311yescharacteristic
97C22×D12C2312yes—
98C22×D12C2314yes—
99C22×C4×D3—21no—
100C22×C4×D3—22no—
101C22×C4×D3—22no—
102C22×C4×D3—28no—
103C22×C4×D3—48no—
104C22×Dic6C2311yescharacteristic
105C2×C3×M16—24no—
106C2×C3×M16C2314yes—
107C22×C3×C8C2312yes—
108C2×C3×C4⋊C4—21no—
109C2×C3×C4⋊C4—22no—
110C2×C3×C4⋊C4C2312yes—
111C2×C3×C4⋊C4C2314yes—
112C2×#217—21no—
113C2×#217—21no—
114#949—232no—
115#947—22no—
116#947C2314yescomplemented
117#944—22no—
118#944C2314yescomplemented
119C2×#215—28no—
120C2×#215C2318yes—
121#940—22no—
122#940C2314yescomplemented
123#939—28no—
124#939—28no—
125#936—22no—
126#936C2314yescomplemented
127C2×#213—28no—
128C2×#213C2318yes—
129C4×#67—28no—
130C4×#67—28no—
131C2×(C2×D3)⋊C4—22no—
132C2×(C2×D3)⋊C4—22no—
133C2×(C2×D3)⋊C4—28no—
134C2×(C2×D3)⋊C4—21no—
135C2×(C2×D3)⋊C4—21no—
136C2×Dic3⋊C4—21no—
137C2×Dic3⋊C4—21no—
138C2×C4×Dic3D411yescharacteristic
139C2×C4×Dic3D411yescharacteristic
140C2×C4×Dic3D414yes—
141C2×C4×Dic3C2311yescharacteristic
142C2×C4×Dic3C2311yescharacteristic
143C2×C4×Dic3C2314yes—
144C2×#208—24no—
145C2×#208C2314yes—
146C22×C3⋊C8C2312yes—
147#908—232no—
148C2×D24—28no—
149C2×D24C2318yes—
150C2×#204—28no—
151C2×#204C2318yes—
152#893—24no—
153#893—24no—
154#893—28no—
155#893—28no—
156#893C2318yes—
157#893C2318yes—
158C3×#103C2318yescomplemented
159C3×#102C2318yescomplemented
160Dic3⋊C8C2318yescomplemented
161Dic3⋊C8C2318yescomplemented
162#810C2318yescomplemented
163#809C2318yescomplemented
164C22×#41—31no—
165C22×#41C2×D311yescharacteristic
166C23×D4—31no—
167C24×C4—61no—
168C2×AGL(1,ℤ/8)—38no—
169C2×AGL(1,ℤ/8)—38no—
170C2×AGL(1,ℤ/8)—68no—
171C2×AGL(1,ℤ/8)—68no—
172C22×SD16—32no—
173C22×SD16—32no—
174C22×D8—32no—
175C22×D8—32no—
176C22×M16—31no—
177C22×M16C2×D311yescharacteristic
178#532—38no—
179#532—64no—
180C2×C4⋊Q8—31no—
181C2×#127—31no—
182C2×#124—31no—
183C2×#124—31no—
184C2×#121—61no—
185C2×#121—61no—
186C2×C4×D4—32no—
187C2×C4×D4—32no—
188C2×C4×D4—38no—
189C2×C4×D4—61no—
190C2×C4×D4—61no—
191C2×C4×D4—64no—
192C2×C4×D4—61no—
193C2×C4×D4—61no—
194C22×C4⋊C4C2×D311yescharacteristic
195C22×C22⋊C4—61no—
196C22×C42—31no—
197#463—316no—
198#463—316no—
199#461—316no—
200#459—316no—
201#423—38no—
202C2×C4⋊C8—32no—
203C2×C4⋊C8—32no—
204#417—38no—
205#417C2×D318yescomplemented
206C2×#103—32no—
207C2×#103C2×D312yescomplemented
208C2×#102—32no—
209C2×#102C2×D312yescomplemented
210C24×C3—21no—
211C24×C3C2×D411yescharacteristic
212C23×D3—28no—
213C23×D3—24no—
214C23×D3—22no—
215C23×D3—21no—
216C23×D3—44no—
217C23×D3—44no—
218C3×#41—28no—
219C3×#41—28no—
220C3×#41—48no—
221C2×C3×Q8—21no—
222C2×C3×Q8—22no—
223C2×C3×Q8—22no—
224C2×C3×Q8C2412yes—
225C2×C3×D4—24no—
226C2×C3×D4—22no—
227C2×C3×D4—21no—
228C2×C3×D4—22no—
229C2×C3×D4—44no—
230C2×C3×D4C2412yes—
231C22×C3×C4—21no—
232C22×C3×C4—24no—
233C22×C3×C4—22no—
234C22×C3×C4—24no—
235C22×C3×C4—44no—
236C22×C3×C4—44no—
237C22×C3×C4C2×D411yescharacteristic
238C22×C3×C4C2×D412yes—
239C22×C3×C4C2×D414yes—
240C22×C3×C4#4114yes—
241C22×C3×C4C2411yescharacteristic
242C22×C3×C4C2412yes—
243C2×#67—24no—
244C2×#67—24no—
245C2×#67—24no—
246C2×#67—44no—
247C2×#67—44no—
248C2×#67—44no—
249C22×Dic3—24no—
250C22×Dic3—21no—
251C22×Dic3—42no—
252C22×Dic3C2×D411yescharacteristic
253C22×Dic3C2×D411yescharacteristic
254C22×Dic3C2×D411yescharacteristic
255C22×Dic3C2×D414yes—
256C22×Dic3C2×D414yes—
257C22×Dic3C2×D411yescharacteristic
258#235—28no—
259#235—28no—
260#235—48no—
261C2×D12—216no—
262C2×D12—28no—
263C2×D12—22no—
264C2×D12—24no—
265C2×D12—24no—
266C2×D12—28no—
267C2×D12—22no—
268C2×D12—22no—
269C2×D12—21no—
270C2×D12C2×D418yes—
271C2×D12C2×D4116yescomplemented
272C2×D12C2412yes—
273C2×D12C2414yes—
274C2×C4×D3—24no—
275C2×C4×D3—28no—
276C2×C4×D3—28no—
277C2×C4×D3—48no—
278C2×C4×D3—432no—
279C2×C4×D3—44no—
280C2×C4×D3—48no—
281C2×Dic6—22no—
282C2×Dic6—22no—
283C2×Dic6—21no—
284C2×Dic6C2412yes—
285C3×M16—28no—
286C2×C3×C8—24no—
287C2×C3×C8C2414yes—
288C3×C4⋊C4—22no—
289C3×C4⋊C4—24no—
290C3×C4⋊C4C2414yes—
291#217—24no—
292#217—24no—
293#215—216no—
294#213—216no—
295(C2×D3)⋊C4—28no—
296(C2×D3)⋊C4—28no—
297(C2×D3)⋊C4—24no—
298(C2×D3)⋊C4—24no—
299Dic3⋊C4—24no—
300Dic3⋊C4—24no—
301C4×Dic3C2×D414yes—
302C4×Dic3C2×D414yes—
303C4×Dic3C2×D412yes—
304C4×Dic3C2×D412yes—
305C4×Dic3C2412yes—
306C4×Dic3C2412yes—
307#208—28no—
308C2×C3⋊C8—24no—
309C2×C3⋊C8C2414yes—
310D24—216no—
311#204—216no—
312C25—61no—
313C2×#41—22no—
314C2×#41—24no—
315C2×#41—24no—
316C2×#41—34no—
317C2×#41—62no—
318C2×#41—64no—
319C2×#41—64no—
320C2×#41C22×D314yes—
321C22×Q8—31no—
322C22×Q8C22×D311yescharacteristic
323C22×D4—21no—
324C22×D4—38no—
325C22×D4—32no—
326C22×D4—34no—
327C22×D4—31no—
328C22×D4—61no—
329C22×D4—61no—
330C22×D4—61no—
331C22×D4—64no—
332C22×D4—62no—
333C22×D4—61no—
334C22×D4C22×D311yescharacteristic
335C23×C4—21no—
336C23×C4—21no—
337C23×C4—31no—
338C23×C4—31no—
339C23×C4—68no—
340C23×C4—62no—
341C23×C4—62no—
342C23×C4—61no—
343C23×C4—128no—
344C23×C4C22×D311yescharacteristic
345AGL(1,ℤ/8)—632no—
346AGL(1,ℤ/8)—632no—
347C2×SD16—38no—
348C2×SD16—38no—
349C2×SD16—68no—
350C2×SD16—68no—
351C2×D8—38no—
352C2×D8—38no—
353C2×D8—68no—
354C2×D8—68no—
355C2×M16—24no—
356C2×M16—34no—
357C2×M16—64no—
358C2×M16C22×D314yes—
359C22×C8—32no—
360C22×C8C22×D312yes—
361C4⋊Q8—34no—
362C4⋊Q8—62no—
363#127—34no—
364#127—62no—
365#124—34no—
366#124—34no—
367#124—62no—
368#124—62no—
369#121—68no—
370#121—68no—
371C4×D4—38no—
372C4×D4—38no—
373C4×D4—68no—
374C4×D4—68no—
375C4×D4—64no—
376C4×D4—64no—
377C4×D4—68no—
378C4×D4—68no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—61no—
382C2×C4⋊C4—61no—
383C2×C4⋊C4C22×D312yes—
384C2×C4⋊C4C22×D314yes—
385C2×C22⋊C4—68no—
386C2×C22⋊C4—62no—
387C2×C22⋊C4—62no—
388C2×C22⋊C4—61no—
389C2×C22⋊C4—61no—
390C2×C22⋊C4—61no—
391C2×C22⋊C4—61no—
392C2×C42—31no—
393C2×C42—31no—
394C2×C42—34no—
395C2×C42—31no—
396C2×C42—31no—
397C2×C42—34no—
398C4⋊C8—38no—
399C4⋊C8—38no—
400#103—38no—
401#103C22×D318yescomplemented
402#102—38no—
403#102C22×D318yescomplemented
404C23×C3—22no—
405C23×C3—22no—
406C23×C3—22no—
407C23×C3—42no—
408C23×C3—42no—
409C23×C3—42no—
410C23×C3#12114yes—
411C23×C3C22×D412yes—
412C23×C3C22×D411yescharacteristic
413C22×D3—28no—
414C22×D3—216no—
415C22×D3—24no—
416C22×D3—22no—
417C22×D3—48no—
418C22×D3—432no—
419C22×D3—48no—
420C22×D3—44no—
421C22×D3—44no—
422C22×D3—42no—
423C22×D3—42no—
424C22×D3—42no—
425C3×Q8—22no—
426C3×Q8—22no—
427C3×Q8—42no—
428C3×D4—22no—
429C3×D4—22no—
430C3×D4—48no—
431C3×D4—42no—
432C2×C3×C4—22no—
433C2×C3×C4—24no—
434C2×C3×C4—48no—
435C2×C3×C4—42no—
436C2×C3×C4—44no—
437C2×C3×C4—48no—
438C2×C3×C4#12114yes—
439C2×C3×C4#12118yes—
440C2×C3×C4C22×D411yescharacteristic
441C2×C3×C4C22×D412yes—
442C2×C3×C4C22×D412yes—
443C2×C3×C4C22×D414yes—
444C2×C3×C4C2×#4112yes—
445C2×C3×C4C2×#4114yes—
446C2×C3×C4C2511yescharacteristic
447#67—48no—
448#67—48no—
449#67—48no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—22no—
453C2×Dic3—28no—
454C2×Dic3—22no—
455C2×Dic3—44no—
456C2×Dic3—42no—
457C2×Dic3AGL(1,ℤ/8)14yescomplemented
458C2×Dic3C22×D412yes—
459C2×Dic3C22×D412yes—
460C2×Dic3C22×D412yes—
461C2×Dic3C22×D412yes—
462D12—28no—
463D12—216no—
464D12—22no—
465D12—24no—
466D12—22no—
467D12—42no—
468D12C22×D418yes—
469C4×D3—416no—
470C4×D3—48no—
471C4×D3—416no—
472Dic6—22no—
473Dic6—22no—
474Dic6—42no—
475C3×C8—24no—
476C3⋊C8—24no—
477C24—21no—
478C24—68no—
479C24—64no—
480C24—62no—
481C24—61no—
482C24—124no—
483C24—124no—
484C24D3×D411yescharacteristic
485#41—28no—
486#41—28no—
487#41—48no—
488#41—68no—
489#41—68no—
490#41—128no—
491C2×Q8—21no—
492C2×Q8—22no—
493C2×Q8—22no—
494C2×Q8—32no—
495C2×Q8—61no—
496C2×Q8—62no—
497C2×Q8—62no—
498C2×Q8C23×D312yes—
499C2×D4—24no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—38no—
504C2×D4—316no—
505C2×D4—34no—
506C2×D4—32no—
507C2×D4—44no—
508C2×D4—64no—
509C2×D4—64no—
510C2×D4—64no—
511C2×D4—68no—
512C2×D4—616no—
513C2×D4—64no—
514C2×D4—68no—
515C2×D4—62no—
516C2×D4—64no—
517C2×D4—62no—
518C2×D4—62no—
519C2×D4—61no—
520C2×D4—124no—
521C2×D4—124no—
522C2×D4—124no—
523C2×D4C23×D312yes—
524C22×C4—24no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—24no—
528C22×C4—31no—
529C22×C4—34no—
530C22×C4—31no—
531C22×C4—31no—
532C22×C4—31no—
533C22×C4—34no—
534C22×C4—44no—
535C22×C4—44no—
536C22×C4—68no—
537C22×C4—68no—
538C22×C4—64no—
539C22×C4—61no—
540C22×C4—64no—
541C22×C4—128no—
542C22×C4—1232no—
543C22×C4—128no—
544C22×C4—122no—
545C22×C4—124no—
546C22×C4#23514yes—
547C22×C4D3×D412yes—
548C22×C4D3×D411yescharacteristic
549C22×C4D3×D414yes—
550C22×C4C23×D312yes—
551C22×C4C23×D311yescharacteristic
552SD16—616no—
553SD16—616no—
554D8—616no—
555D8—616no—
556M16—28no—
557M16—68no—
558C2×C8—24no—
559C2×C8—34no—
560C2×C8—64no—
561C2×C8C23×D314yes—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—64no—
565C4⋊C4—64no—
566C4⋊C4C23×D314yes—
567C22⋊C4—68no—
568C22⋊C4—68no—
569C22⋊C4—64no—
570C22⋊C4—64no—
571C22⋊C4—64no—
572C22⋊C4—64no—
573C42—34no—
574C42—34no—
575C42—32no—
576C42—32no—
577C42—32no—
578C42—32no—
579C22×C3—28no—
580C22×C3—22no—
581C22×C3—22no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—84no—
586C22×C3C2×#12114yes—
587C22×C3C2×#12112yes—
588C22×C3C2×AGL(1,ℤ/8)12yes—
589C22×C3#57512yes—
590C22×C3C23×D411yescharacteristic
591C2×D3—28no—
592C2×D3—432no—
593C2×D3—416no—
594C2×D3—44no—
595C2×D3—44no—
596C2×D3—42no—
597C2×D3—42no—
598C2×D3—42no—
599C2×D3—84no—
600C3×C4—42no—
601C3×C4—44no—
602C3×C4C2×#12112yes—
603C3×C4C2×#12114yes—
604C3×C4C23×D411yescharacteristic
605C3×C4C22×#4111yescharacteristic
606Dic3—22no—
607Dic3—22no—
608Dic3—22no—
609Dic3—42no—
610Dic3C2×AGL(1,ℤ/8)14yescomplemented
611C23—22no—
612C23—22no—
613C23—22no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—64no—
618C23—616no—
619C23—68no—
620C23—62no—
621C23—128no—
622C23—1232no—
623C23—128no—
624C23—124no—
625C23—124no—
626C23—122no—
627C23—122no—
628C23—122no—
629C23#88414yes—
630C23C2×D3×D412yes—
631C23C2×D3×D411yescharacteristic
632Q8—22no—
633Q8—22no—
634Q8—42no—
635Q8—62no—
636Q8—62no—
637Q8—122no—
638D4—22no—
639D4—22no—
640D4—38no—
641D4—48no—
642D4—42no—
643D4—64no—
644D4—62no—
645D4—62no—
646D4—616no—
647D4—68no—
648D4—128no—
649D4—128no—
650D4—128no—
651D4—122no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—32no—
655C2×C4—34no—
656C2×C4—32no—
657C2×C4—32no—
658C2×C4—32no—
659C2×C4—48no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—48no—
663C2×C4—68no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—62no—
668C2×C4—1216no—
669C2×C4—1216no—
670C2×C4—124no—
671C2×C4—122no—
672C2×C4—128no—
673C2×C4#88414yes—
674C2×C4#88418yes—
675C2×C4C2×#23512yes—
676C2×C4C2×#23514yes—
677C2×C4C2×D3×D412yes—
678C2×C4C2×D3×D414yes—
679C2×C4C2×D3×D412yes—
680C2×C4C2×D3×D411yescharacteristic
681C2×C4C24×D311yescharacteristic
682C8—24no—
683C8—64no—
684C2×C3—24no—
685C2×C3—82no—
686C2×C3#303614yescomplemented
687C2×C3C22×#12111yescharacteristic
688C2×C3C22×AGL(1,ℤ/8)11yescharacteristic
689C2×C3C2×#57511yescharacteristic
690D3—48no—
691D3—82no—
692C22—28no—
693C22—22no—
694C22—22no—
695C22—42no—
696C22—42no—
697C22—42no—
698C22—68no—
699C22—84no—
700C22—1232no—
701C22—1216no—
702C22—124no—
703C22—124no—
704C22—122no—
705C22—122no—
706C22—122no—
707C22—244no—
708C22C2×#88414yes—
709C22C2×#88412yes—
710C22D3×AGL(1,ℤ/8)12yes—
711C22#577712yes—
712C22C22×D3×D411yescharacteristic
713C4—34no—
714C4—44no—
715C4—42no—
716C4—62no—
717C4—62no—
718C4—62no—
719C4—122no—
720C4C2×#88414yes—
721C4C2×#88412yes—
722C4C22×#23511yescharacteristic
723C4C22×D3×D411yescharacteristic
724C3C2×#303611yescharacteristic, complemented, Sylow
725C2—24no—
726C2—82no—
727C2—128no—
728C2—242no—
729C2#7891014yesdirect product factor
730C2C22×#88411yescharacteristic
731C2C2×D3×AGL(1,ℤ/8)11yescharacteristic
732C2C2×#577711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#417C2
socleC23×C3C22×D4
hypercenterC2×#417D3
hypocenterC3C2×#3036
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
1. C2×#5832C2semidirect
2. C22×#949C2semidirect
3. C22×#908C2semidirect
4. C22×#893C2semidirect
5. C2×C3×#417C2semidirect
6. C2×#5118C2semidirect
7. C2×#4966C2semidirect
8. #78910C2direct (N × H)
9. C2×#4819C2semidirect
10. C2×#4818C2semidirect
11. C2×#4787C2semidirect
12. C2×#4786C2semidirect
21. #5832C22semidirect
23. C2×#949C22semidirect
24. C2×#947C22semidirect
25. C2×#944C22semidirect
27. C2×#940C22semidirect
30. C2×#936C22semidirect
38. C2×#908C22semidirect
46. C2×#893C22semidirect
47. C3×#417C22semidirect
48. C2×C3×#103C22semidirect
49. C2×C3×#102C22semidirect
50. #5118C22semidirect
51. C2×Dic3⋊C8C22semidirect
52. C2×Dic3⋊C8C22semidirect
53. C2×#810C22semidirect
54. #4966C22semidirect
55. C2×#809C22semidirect
56. #4819C22semidirect
57. #4818C22semidirect
58. #4787C22semidirect
59. #4786C22semidirect
71. C2×#417D3semidirect
95. C22×D12D4semidirect
116. #947C23semidirect
118. #944C23semidirect
122. #940C23semidirect
126. #936C23semidirect
158. C3×#103C23semidirect
159. C3×#102C23semidirect
160. Dic3⋊C8C23semidirect
161. Dic3⋊C8C23semidirect
162. #810C23semidirect
163. #809C23semidirect
205. #417C2×D3semidirect
207. C2×#103C2×D3semidirect
209. C2×#102C2×D3semidirect
271. C2×D12C2×D4semidirect
401. #103C22×D3semidirect
403. #102C22×D3semidirect
457. C2×Dic3AGL(1,ℤ/8)semidirect
610. Dic3C2×AGL(1,ℤ/8)semidirect
686. C2×C3#3036semidirect
724. C3C2×#3036semidirect
729. C2#78910direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#58322
C22×#9492
C22×#9082
C22×#8932
C2×C3×#4172
C2×#51182
C2×#49662
#789102
C2×#48192
C2×#48182
C2×#47872
C2×#47862
C2×#30363