Finite Group Databasebeta

← #11863954

Subgroups — #11863954

Order 1152.

2669 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D4×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C3×#932C211yesmaximal, characteristic, complemented
3#10595034C211yesmaximal, characteristic, complemented
4C2×#63825C211yesmaximal, characteristic, complemented
5C3×#5215C211yesmaximal, characteristic, complemented
6#10591467C214yesmaximal, complemented
7#10591456C214yesmaximal, complemented
8#10591096C211yesmaximal, characteristic, complemented
9#10591074C211yesmaximal, characteristic, complemented
10#83944—31nomaximal
11#78926—31nomaximal
12C24×C3⋊D3—21no—
13C22×C32×D4C2211yescharacteristic
14C22×#638—21no—
15C2×D4×C3⋊D3—24no—
16C2×D4×C3⋊D3—24no—
17C2×D4×C3⋊D3—22no—
18C2×D4×C3⋊D3C2214yes—
19C22×C4⋊(C3⋊D3)C2211yescharacteristic
20C22×C4×C3⋊D3C2211yescharacteristic
21C2×C3×#235C2211yescharacteristic, complemented
22C2×C3×#214C2212yescomplemented
23C3×#932—24no—
24C2×C3×#213C2212yescomplemented
25C3×#926C2211yescharacteristic, complemented
26C2×C3×#208C2211yescharacteristic, complemented
27C2×C3×#208C2211yescharacteristic, complemented
28#63981—21no—
29#63962—21no—
30#63916C2212yescomplemented
31C4×#626—22no—
32#63871C2212yescomplemented
33C2×#3717C2212yescomplemented
34#63825—24no—
35C2×#3714C2212yescomplemented
36C3×#832C2214yescomplemented
37#63564C2214yescomplemented
38#63557C2214yescomplemented
39C22×D3×D4—31no—
40C22×D3×D4—31no—
41C22×D3×D4—61no—
42C2×C3×AGL(1,ℤ/8)—31no—
43#5828—31no—
44C2×#949—31no—
45C2×#932D311yescharacteristic, complemented
46C2×#908—31no—
47#5524—31no—
48C3×#418—31no—
49#5215D311yescharacteristic, complemented
50#5169—34no—
51#5156—34no—
52#5131—31no—
53#5126—31no—
54#5126—31no—
55#5001—31no—
56#4776—34no—
57#4773—34no—
58C24×C32—21no—
59C23×C3⋊D3—28no—
60C23×C3⋊D3—21no—
61C23×C3⋊D3—24no—
62C23×C3⋊D3—48no—
63C23×C3⋊D3D411yescharacteristic
64C2×C32×D4—21no—
65C2×C32×D4—22no—
66C2×C32×D4D414yescomplemented
67C2×C32×D4C2312yes—
68C22×C32×C4C2311yescharacteristic
69C2×#638—28no—
70C2×#638—24no—
71C22×C3⋊Dic3D411yescharacteristic
72D4×C3⋊D3—216no—
73D4×C3⋊D3—28no—
74D4×C3⋊D3—28no—
75C2×C4⋊(C3⋊D3)—21no—
76C2×C4⋊(C3⋊D3)—22no—
77C2×C4⋊(C3⋊D3)D414yescomplemented
78C2×C4⋊(C3⋊D3)C2312yes—
79C2×C4×C3⋊D3—22no—
80C2×C4×C3⋊D3—22no—
81C2×C4×C3⋊D3D412yes—
82C2×C4×C3⋊D3C2312yes—
83C2×C3×#67—21no—
84C3×#235—22no—
85C3×#235—22no—
86C2×C3×D12C2311yescharacteristic, complemented
87C2×C3×C4×D3—21no—
88C2×C3×Dic6C2311yescharacteristic, complemented
89C2×#626—22no—
90C3×#217—21no—
91C3×#214—24no—
92C3×#213—24no—
93C3×C4⋊Dic3C2312yescomplemented
94C3×C4×Dic3—21no—
95C3×#208—22no—
96C3×#208—22no—
97C2×C3×C3⋊C8C2312yescomplemented
98C2×C3×C3⋊C8C2312yescomplemented
99Dic3⋊Dic3—22no—
100#3722—22no—
101(C2×D3)⋊Dic3—22no—
102#3717—24no—
103#3714—24no—
104#3003—91noSylow
105C24×D3—61no—
106C24×D3—61no—
107C24×D3—62no—
108C2×C3×#41—31no—
109C22×C3×D4—21no—
110C22×C3×D4C2×D311yescharacteristic
111C22×C3×D4C2×D311yescharacteristic
112C22×#67—61no—
113C22×#67—61no—
114C22×#67—62no—
115C2×D3×D4—34no—
116C2×D3×D4—34no—
117C2×D3×D4—64no—
118C2×D3×D4—62no—
119C2×D3×D4—62no—
120C2×D3×D4—64no—
121C2×D3×D4—64no—
122C2×D3×D4—64no—
123C2×D3×D4—68no—
124C2×D3×D4—68no—
125C2×D3×D4—64no—
126C2×D3×D4—64no—
127C2×#235C2×D311yescharacteristic, complemented
128C22×D12—31no—
129C22×D12—31no—
130C22×D12—61no—
131C22×C4×D3—31no—
132C22×C4×D3—31no—
133C22×C4×D3—61no—
134C3×AGL(1,ℤ/8)—64no—
135C2×C3×SD16—32no—
136C2×C3×D8—32no—
137C2×C3×M16—31no—
138C2×C3×M16—31no—
139C3×#117—31no—
140#949—64no—
141#946—32no—
142C2×#215—32no—
143#938—32no—
144#937—61no—
145#935—61no—
146C2×#214C2×D312yescomplemented
147#932—24no—
148C2×#213—32no—
149C2×#213C2×D312yescomplemented
150C4×#67—62no—
151#926C2×D311yescharacteristic, complemented
152C2×#208C2×D311yescharacteristic, complemented
153C2×#208C2×D311yescharacteristic, complemented
154#908—64no—
155C2×D24—32no—
156C2×#204—32no—
157#897—32no—
158#895—32no—
159#886—61no—
160#882—61no—
161C4×D12—62no—
162C3×#102—34no—
163#832C2×D314yescomplemented
164#821—34no—
165(C2×D3)⋊C8—34no—
166(C2×D3)⋊C8—34no—
167#809—34no—
168C23×C32—24no—
169C23×C32—22no—
170C23×C32—44no—
171C23×C32C2×D411yescharacteristic
172C22×C3⋊D3—22no—
173C22×C3⋊D3—24no—
174C22×C3⋊D3—216no—
175C22×C3⋊D3—24no—
176C22×C3⋊D3—22no—
177C22×C3⋊D3—432no—
178C22×C3⋊D3—48no—
179C22×C3⋊D3—44no—
180C22×C3⋊D3—48no—
181C22×C3⋊D3C2×D412yes—
182C22×C3×D3—21no—
183C32×D4—24no—
184C32×D4—22no—
185C32×D4C2×D414yes—
186C2×C32×C4C2×D412yes—
187C2×C32×C4C2×D411yescharacteristic
188C2×C32×C4C2×D412yes—
189C2×C32×C4C2411yescharacteristic
190#638—216no—
191C2×C3⋊Dic3—22no—
192C2×C3⋊Dic3C2×D412yes—
193C4⋊(C3⋊D3)—24no—
194C4⋊(C3⋊D3)—22no—
195C4⋊(C3⋊D3)C2×D414yes—
196C4×C3⋊D3—24no—
197C4×C3⋊D3—22no—
198C4×C3⋊D3—22no—
199C3×#67—42no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—21no—
202C3×D12—21no—
203C3×D12—21no—
204C3×C4×D3—42no—
205C3×Dic6—21no—
206C3×Dic6—21no—
207#626—44no—
208C3×C3⋊C8—22no—
209C3×C3⋊C8—22no—
210C23×D4—91no—
211C2×AGL(1,ℤ/8)—31no—
212C2×AGL(1,ℤ/8)—91no—
213#525—91no—
214#450—94no—
215#447—94no—
216#418—31no—
217#418—91no—
218#407—91no—
219C24×C3—22no—
220C24×C3—21no—
221C24×C3—21no—
222C23×D3—31no—
223C23×D3—31no—
224C23×D3—61no—
225C23×D3—64no—
226C23×D3—64no—
227C23×D3—62no—
228C23×D3—68no—
229C23×D3—616no—
230C23×D3—68no—
231C23×D3—68no—
232C23×D3—61no—
233C23×D3—61no—
234C23×D3—128no—
235C23×D3—128no—
236C23×D3—1216no—
237C3×#41—62no—
238C3×#41—62no—
239C2×C3×Q8—31no—
240C2×C3×D4—24no—
241C2×C3×D4—22no—
242C2×C3×D4—21no—
243C2×C3×D4—22no—
244C2×C3×D4—21no—
245C2×C3×D4—22no—
246C2×C3×D4—24no—
247C2×C3×D4—22no—
248C2×C3×D4—31no—
249C2×C3×D4—61no—
250C2×C3×D4D1214yescomplemented
251C2×C3×D4#6714yescomplemented
252C2×C3×D4C22×D312yes—
253C2×C3×D4C22×D312yes—
254C22×C3×C4—21no—
255C22×C3×C4—61no—
256C22×C3×C4C22×D311yescharacteristic
257C22×C3×C4C22×D311yescharacteristic
258C2×#67—21no—
259C2×#67—62no—
260C2×#67—64no—
261C2×#67—64no—
262C2×#67—68no—
263C2×#67—616no—
264C2×#67—68no—
265C2×#67—68no—
266C22×Dic3—31no—
267C22×Dic3—31no—
268C22×Dic3—61no—
269D3×D4—68no—
270D3×D4—68no—
271D3×D4—616no—
272D3×D4—632no—
273D3×D4—616no—
274D3×D4—616no—
275D3×D4—616no—
276D3×D4—68no—
277D3×D4—68no—
278#235—22no—
279#235—22no—
280C2×D12—34no—
281C2×D12—34no—
282C2×D12—32no—
283C2×D12—32no—
284C2×D12—64no—
285C2×D12—62no—
286C2×D12—64no—
287C2×D12—62no—
288C2×D12—62no—
289C2×D12—61no—
290C2×D12—61no—
291C2×D12—62no—
292C2×D12—62no—
293C2×D12C22×D311yescharacteristic, complemented
294C2×C4×D3—21no—
295C2×C4×D3—32no—
296C2×C4×D3—32no—
297C2×C4×D3—32no—
298C2×C4×D3—32no—
299C2×C4×D3—62no—
300C2×C4×D3—62no—
301C2×C4×D3—64no—
302C2×C4×D3—64no—
303C2×C4×D3—62no—
304C2×C4×D3—62no—
305C2×C4×D3—62no—
306C2×C4×D3—62no—
307C2×Dic6C22×D311yescharacteristic, complemented
308C3×SD16—64no—
309C3×D8—64no—
310C3×M16—62no—
311C3×M16—62no—
312C2×C3×C8—32no—
313C2×C3×C8—32no—
314C3×C4⋊C4—32no—
315C3×C22⋊C4—61no—
316C3×C42—61no—
317#217—21no—
318#217—62no—
319#215—64no—
320#214—24no—
321#213—24no—
322#213—64no—
323(C2×D3)⋊C4—62no—
324(C2×D3)⋊C4—62no—
325(C2×D3)⋊C4—62no—
326C4⋊Dic3—62no—
327C4⋊Dic3C22×D312yescomplemented
328Dic3⋊C4—62no—
329C4×Dic3—21no—
330#208—22no—
331#208—22no—
332C2×C3⋊C8C22×D312yescomplemented
333C2×C3⋊C8C22×D312yescomplemented
334D24—64no—
335#204—64no—
336C22×C32—22no—
337C22×C32—24no—
338C22×C32—48no—
339C22×C32—44no—
340C22×C32#12012yes—
341C22×C32C22×D411yescharacteristic
342C2×C3⋊D3—28no—
343C2×C3⋊D3—22no—
344C2×C3⋊D3—22no—
345C2×C3⋊D3—24no—
346C2×C3⋊D3—432no—
347C2×C3⋊D3—48no—
348C2×C3⋊D3—44no—
349C2×C3⋊D3AGL(1,ℤ/8)14yescomplemented
350C2×C3×D3—41no—
351C2×C3×D3—42no—
352C32×C4#12012yes—
353C32×C4C22×D411yescharacteristic
354C32×C4C22×D411yescharacteristic
355C3⋊Dic3—22no—
356C3×Dic3—41no—
357C3×Dic3—42no—
358C25—181no—
359C2×#41—31no—
360C22×D4—94no—
361C22×D4—91no—
362C22×D4—182no—
363C22×D4—181no—
364C22×D4—184no—
365C22×D4—184no—
366C22×D4D3211yescharacteristic
367C23×C4—91no—
368AGL(1,ℤ/8)—64no—
369AGL(1,ℤ/8)—184no—
370C2×SD16—32no—
371C2×SD16—92no—
372C2×D8—32no—
373C2×D8—92no—
374C2×M16—31no—
375C2×M16—31no—
376#123—181no—
377C22⋊Q8—92no—
378#121—92no—
379#120—181no—
380C4×D4—182no—
381#117—31no—
382#102—34no—
383#102—94no—
384C22⋊C8—94no—
385C23×C3—24no—
386C23×C3—28no—
387C23×C3—24no—
388C23×C3—24no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—21no—
392C23×C3—48no—
393C23×C3—44no—
394C23×C3—44no—
395C23×C3—61no—
396C23×C3D3×D411yescharacteristic
397C23×C3D3×D411yescharacteristic
398C22×D3—21no—
399C22×D3—32no—
400C22×D3—32no—
401C22×D3—62no—
402C22×D3—64no—
403C22×D3—64no—
404C22×D3—64no—
405C22×D3—68no—
406C22×D3—62no—
407C22×D3—62no—
408C22×D3—64no—
409C22×D3—68no—
410C22×D3—632no—
411C22×D3—616no—
412C22×D3—616no—
413C22×D3—64no—
414C22×D3—64no—
415C22×D3—62no—
416C22×D3—62no—
417C22×D3—128no—
418C22×D3—128no—
419C22×D3—1216no—
420C22×D3—1264no—
421C22×D3—1232no—
422C22×D3—1232no—
423C22×D3—1216no—
424C22×D3—128no—
425C22×D3—128no—
426C22×D3—128no—
427C22×D3—124no—
428C22×D3—124no—
429C3×Q8—61no—
430C3×Q8—61no—
431C3×D4—24no—
432C3×D4—28no—
433C3×D4—24no—
434C3×D4—24no—
435C3×D4—22no—
436C3×D4—22no—
437C3×D4—24no—
438C3×D4—61no—
439C3×D4—61no—
440C3×D4—122no—
441C3×D4C2×D1214yes—
442C3×D4C2×#6714yes—
443C2×C3×C4—21no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—61no—
448C2×C3×C4—62no—
449C2×C3×C4—122no—
450C2×C3×C4C2×D1212yes—
451C2×C3×C4D3×D411yescharacteristic
452C2×C3×C4D3×D412yes—
453C2×C3×C4D3×D411yescharacteristic
454C2×C3×C4D3×D412yes—
455C2×C3×C4C2×#6712yes—
456C2×C3×C4C23×D311yescharacteristic
457C2×C3×C4C23×D311yescharacteristic
458#67—42no—
459#67—632no—
460#67—616no—
461#67—616no—
462#67—124no—
463C2×Dic3—22no—
464C2×Dic3—21no—
465C2×Dic3—32no—
466C2×Dic3—32no—
467C2×Dic3—62no—
468C2×Dic3—64no—
469C2×Dic3—62no—
470C2×Dic3—62no—
471D12—21no—
472D12—21no—
473D12—34no—
474D12—34no—
475D12—64no—
476D12—64no—
477D12—68no—
478D12—64no—
479D12—64no—
480D12—62no—
481D12—62no—
482D12—124no—
483C4×D3—42no—
484C4×D3—64no—
485C4×D3—64no—
486C4×D3—68no—
487C4×D3—64no—
488C4×D3—64no—
489C4×D3—62no—
490C4×D3—62no—
491C4×D3—62no—
492C4×D3—62no—
493Dic6—21no—
494Dic6—21no—
495C3×C8—62no—
496C3×C8—62no—
497C3⋊C8—22no—
498C3⋊C8—22no—
499C2×C32—22no—
500C2×C32—44no—
501C2×C32C2×#12011yescharacteristic
502C2×C32C2×AGL(1,ℤ/8)12yes—
503C3⋊D3—24no—
504C3⋊D3—44no—
505C3×D3—81no—
506C24—21no—
507C24—91no—
508C24—184no—
509C24—188no—
510C24—181no—
511C24—368no—
512#41—62no—
513#41—62no—
514C2×Q8—31no—
515C2×D4—22no—
516C2×D4—21no—
517C2×D4—31no—
518C2×D4—61no—
519C2×D4—92no—
520C2×D4—94no—
521C2×D4—182no—
522C2×D4—184no—
523C2×D4—188no—
524C2×D4—1816no—
525C2×D4—188no—
526C2×D4—188no—
527C2×D4—182no—
528C2×D4—181no—
529C2×D4#62614yescomplemented
530C2×D4C2×D3212yes—
531C22×C4—61no—
532C22×C4—91no—
533C22×C4—92no—
534C22×C4—92no—
535C22×C4—182no—
536C22×C4—182no—
537C22×C4C2×D3211yescharacteristic
538SD16—64no—
539SD16—184no—
540D8—64no—
541D8—184no—
542M16—62no—
543M16—62no—
544C2×C8—32no—
545C2×C8—32no—
546C4⋊C4—32no—
547C4⋊C4—182no—
548C22⋊C4—61no—
549C22⋊C4—182no—
550C22⋊C4—182no—
551C42—61no—
552C22×C3—24no—
553C22×C3—22no—
554C22×C3—22no—
555C22×C3—28no—
556C22×C3—24no—
557C22×C3—24no—
558C22×C3—21no—
559C22×C3—22no—
560C22×C3—416no—
561C22×C3—48no—
562C22×C3—48no—
563C22×C3—48no—
564C22×C3—44no—
565C22×C3—44no—
566C22×C3—121no—
567C22×C3—122no—
568C22×C3#88212yes—
569C22×C3#93712yes—
570C22×C3C2×D3×D411yescharacteristic
571C22×C3C2×D3×D411yescharacteristic
572C2×D3—34no—
573C2×D3—34no—
574C2×D3—42no—
575C2×D3—41no—
576C2×D3—64no—
577C2×D3—64no—
578C2×D3—616no—
579C2×D3—68no—
580C2×D3—68no—
581C2×D3—64no—
582C2×D3—62no—
583C2×D3—62no—
584C2×D3—62no—
585C2×D3—62no—
586C2×D3—68no—
587C2×D3—64no—
588C2×D3—64no—
589C2×D3—1264no—
590C2×D3—1232no—
591C2×D3—1232no—
592C2×D3—1216no—
593C2×D3—128no—
594C2×D3—128no—
595C2×D3—128no—
596C2×D3—124no—
597C2×D3—124no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—22no—
601C3×C4—121no—
602C3×C4—122no—
603C3×C4#88212yes—
604C3×C4#93712yes—
605C3×C4C22×D1211yescharacteristic
606C3×C4C2×D3×D411yescharacteristic
607C3×C4C2×D3×D411yescharacteristic
608C3×C4C22×#6711yescharacteristic
609Dic3—42no—
610Dic3—41no—
611Dic3—64no—
612Dic3—62no—
613Dic3—62no—
614C32#300311yescharacteristic, complemented, Sylow
615C23—22no—
616C23—24no—
617C23—44no—
618C23—61no—
619C23—92no—
620C23—184no—
621C23—1816no—
622C23—182no—
623C23—182no—
624C23—184no—
625C23—364no—
626C23—368no—
627C23—3632no—
628C23—368no—
629C23#381111yescharacteristic
630Q8—61no—
631Q8—61no—
632D4—22no—
633D4—24no—
634D4—61no—
635D4—61no—
636D4—94no—
637D4—122no—
638D4—1816no—
639D4—182no—
640D4—184no—
641D4—364no—
642D4C2×#62614yes—
643C2×C4—62no—
644C2×C4—61no—
645C2×C4—92no—
646C2×C4—122no—
647C2×C4—182no—
648C2×C4—182no—
649C2×C4—182no—
650C2×C4—184no—
651C2×C4C2×#62612yes—
652C2×C4#381112yes—
653C2×C4#381111yescharacteristic
654C2×C4C22×D3211yescharacteristic
655C8—62no—
656C8—62no—
657C2×C3—24no—
658C2×C3—22no—
659C2×C3—22no—
660C2×C3—22no—
661C2×C3—21no—
662C2×C3—48no—
663C2×C3—44no—
664C2×C3—44no—
665C2×C3—241no—
666C2×C3C2×#88211yescharacteristic
667C2×C3D3×AGL(1,ℤ/8)12yes—
668C2×C3D3×AGL(1,ℤ/8)12yes—
669C2×C3C2×#93711yescharacteristic
670D3—68no—
671D3—64no—
672D3—64no—
673D3—81no—
674D3—128no—
675D3—124no—
676D3—124no—
677C22—22no—
678C22—24no—
679C22—48no—
680C22—44no—
681C22—94no—
682C22—122no—
683C22—121no—
684C22—188no—
685C22—182no—
686C22—182no—
687C22—184no—
688C22—368no—
689C22—3632no—
690C22—364no—
691C22#6398112yes—
692C22C2×#381111yescharacteristic
693C4—122no—
694C4—121no—
695C4—182no—
696C4#6398112yes—
697C4C22×#62611yescharacteristic
698C4C2×#381111yescharacteristic
699C3—21no—
700C3#7892611yescharacteristic, complemented
701C3#8394411yescharacteristic, complemented
702C2—22no—
703C2—44no—
704C2—184no—
705C2—241no—
706C2—364no—
707C2#1059510012yes—
708C2C2×#6398111yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC22×C32×D4C22
socleC22×C32C22×D4
hypercenterC22×D4D32
hypocenterC32#3003
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×D4×C3⋊D3C2semidirect
2. C2×C3×#932C2semidirect
3. #10595034C2semidirect
4. C2×#63825C2semidirect
5. C3×#5215C2semidirect
6. #10591467C2semidirect
7. #10591456C2semidirect
8. #10591096C2semidirect
9. #10591074C2semidirect
21. C2×C3×#235C22semidirect
22. C2×C3×#214C22semidirect
24. C2×C3×#213C22semidirect
25. C3×#926C22semidirect
26. C2×C3×#208C22semidirect
27. C2×C3×#208C22semidirect
30. #63916C22semidirect
32. #63871C22semidirect
33. C2×#3717C22semidirect
35. C2×#3714C22semidirect
36. C3×#832C22semidirect
37. #63564C22semidirect
38. #63557C22semidirect
45. C2×#932D3semidirect
49. #5215D3semidirect
66. C2×C32×D4D4semidirect
77. C2×C4⋊(C3⋊D3)D4semidirect
86. C2×C3×D12C23semidirect
88. C2×C3×Dic6C23semidirect
93. C3×C4⋊Dic3C23semidirect
97. C2×C3×C3⋊C8C23semidirect
98. C2×C3×C3⋊C8C23semidirect
127. C2×#235C2×D3semidirect
146. C2×#214C2×D3semidirect
149. C2×#213C2×D3semidirect
151. #926C2×D3semidirect
152. C2×#208C2×D3semidirect
153. C2×#208C2×D3semidirect
163. #832C2×D3semidirect
250. C2×C3×D4D12semidirect
251. C2×C3×D4#67semidirect
293. C2×D12C22×D3semidirect
307. C2×Dic6C22×D3semidirect
327. C4⋊Dic3C22×D3semidirect
332. C2×C3⋊C8C22×D3semidirect
333. C2×C3⋊C8C22×D3semidirect
349. C2×C3⋊D3AGL(1,ℤ/8)semidirect
529. C2×D4#626semidirect
614. C32#3003semidirect
700. C3#78926semidirect
701. C3#83944semidirect

Maximal subgroups

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

subgroupindex
C22×D4×C3⋊D32
C2×C3×#9322
#105950342
C2×#638252
C3×#52152
#105914672
#105914562
#105910962
#105910742
#839443
#789263