Finite Group Databasebeta

← #10826274

Subgroups — #10826274

Order 768.

1930 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×D4×Q8C211yesmaximal, characteristic, complemented
2C23×#215C211yesmaximal, characteristic, complemented
3C2×#5227C212yesmaximal, complemented
4C2×#5046C211yesmaximal, characteristic, complemented
5#82403C211yesmaximal, characteristic
6#72132C211yesmaximal, characteristic, complemented
7#71791C212yesmaximal, complemented
8#71699C212yesmaximal, complemented
9#71696C211yesmaximal, characteristic, complemented
10#71633C212yesmaximal, complemented
11#71610C211yesmaximal, characteristic, complemented
12#23855—31nomaximal, Sylow
13C23×C3×Q8C2211yescharacteristic
14C23×C3×Q8C2211yescharacteristic, complemented
15C23×D12C2211yescharacteristic
16C3×D4×Q8—24no—
17C3×D4×Q8—24no—
18C2×C3×C4⋊Q8—21no—
19C2×C3×C4⋊Q8C2211yescharacteristic, complemented
20C2×C3×C22⋊Q8—21no—
21C2×C3×C22⋊Q8—21no—
22C2×C3×C22⋊Q8C2211yescharacteristic
23C2×C3×C22⋊Q8C2211yescharacteristic, complemented
24C2×C3×C4×Q8C2211yescharacteristic, complemented
25C2×C3×C4×D4—21no—
26C2×C3×C4×D4C2211yescharacteristic
27C22×#215—24no—
28C22×#215—28no—
29C22×#215C2212yes—
30C22×#215C2212yes—
31C22×#215C2212yes—
32C2×#937—21no—
33C2×#930C2212yes—
34C23×C3⋊C8C2211yescharacteristic
35#5227—28no—
36C2×#835C2212yescomplemented
37C2×#835C2212yescomplemented
38C2×#835C2212yescomplemented
39#5212C2211yescharacteristic
40C2×#830C2211yescharacteristic
41C2×#830C2212yescomplemented
42#5046—24no—
43#4991—21no—
44C2×#809C2212yes—
45#4960—21no—
46#4955—21no—
47#4939C2212yes—
48#4529C2212yescomplemented
49#4524C2212yescomplemented
50C23×SD16—31no—
51C2×D4×Q8D311yescharacteristic, complemented
52C2×#448—32no—
53C2×#450—31no—
54#2408—31no—
55#2013—32no—
56#2000—32no—
57#1892—31no—
58#1880—32no—
59#1869—31no—
60#1787—31no—
61C24×D3—21no—
62C22×C3×Q8—22no—
63C22×C3×Q8—22no—
64C22×C3×Q8—21no—
65C22×C3×Q8—22no—
66C22×C3×Q8—21no—
67C22×C3×Q8—24no—
68C22×C3×Q8—24no—
69C22×C3×Q8—42no—
70C22×C3×Q8—42no—
71C22×C3×Q8D414yescomplemented
72C22×C3×Q8C2311yescharacteristic
73C22×C3×Q8C2311yescharacteristic
74C22×C3×Q8C2311yescharacteristic
75C22×C3×D4D411yescharacteristic
76C23×C3×C4—21no—
77C23×C3×C4—21no—
78C23×C3×C4C2311yescharacteristic
79C23×C3×C4C2311yescharacteristic
80C22×#67—22no—
81C22×D12—22no—
82C22×D12—24no—
83C22×D12—22no—
84C22×D12—21no—
85C22×D12—42no—
86C22×D12C2312yes—
87C3×C4⋊Q8—28no—
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8—22no—
90C3×C22⋊Q8—28no—
91C3×C22⋊Q8—28no—
92C3×C22⋊Q8—22no—
93C3×C22⋊Q8—22no—
94C3×C22⋊Q8—22no—
95C3×C22⋊Q8D414yescomplemented
96C3×C4×Q8—22no—
97C3×C4×Q8—22no—
98C3×C4×D4—28no—
99C3×C4×D4—22no—
100C3×C4×D4—22no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4D411yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C22⋊C4—21no—
109C2×C3×C22⋊C4—21no—
110C2×C3×C22⋊C4D411yescharacteristic
111C2×C3×C22⋊C4D411yescharacteristic
112C2×C3×C42—21no—
113C2×C3×C42C2311yescharacteristic
114C2×#217—21no—
115C2×#215—232no—
116C2×#215—24no—
117C2×#215—24no—
118C2×#215—24no—
119C2×#215—24no—
120C2×#215—24no—
121C2×#215—24no—
122C2×#215—24no—
123C2×#215—42no—
124C2×#215D418yescomplemented
125#937—44no—
126#930—24no—
127#930—42no—
128C2×(C2×D3)⋊C4—22no—
129C2×(C2×D3)⋊C4—22no—
130C2×(C2×D3)⋊C4—22no—
131C2×C4⋊Dic3C2312yes—
132C22×C3⋊C8—22no—
133C22×C3⋊C8—24no—
134C22×C3⋊C8C2312yes—
135C22×C3⋊C8C2312yes—
136#835—24no—
137#835—24no—
138#835—42no—
139C3⋊#95—21no—
140#830—22no—
141#830—24no—
142#809—24no—
143C23×Q8C2×D311yescharacteristic
144C23×Q8C2×D311yescharacteristic, complemented
145C23×D4—31no—
146C22×SD16—32no—
147C22×SD16—32no—
148C22×SD16—32no—
149C22×SD16—68no—
150C22×SD16—64no—
151C23×C8—31no—
152D4×Q8—24no—
153D4×Q8—24no—
154C2×C4⋊Q8—21no—
155C2×C4⋊Q8C2×D311yescharacteristic, complemented
156C2×C22⋊Q8—21no—
157C2×C22⋊Q8—21no—
158C2×C22⋊Q8C2×D311yescharacteristic
159C2×C22⋊Q8C2×D311yescharacteristic, complemented
160C2×#121—32no—
161C2×#120—61no—
162C2×C4×Q8C2×D311yescharacteristic, complemented
163C2×C4×D4—21no—
164C2×C4×D4C2×D311yescharacteristic
165#450—64no—
166#448—68no—
167C2×#103—32no—
168C2×#103—32no—
169C2×#103—32no—
170C2×#102—32no—
171C2×C22⋊C8—31no—
172C2×C22⋊C8—32no—
173#394—61no—
174#392—61no—
175#390—32no—
176#380—31no—
177#379—61no—
178#340—32no—
179#336—32no—
180C24×C3C2×D411yescharacteristic
181C24×C3C2×D411yescharacteristic
182C23×D3—22no—
183C23×D3—44no—
184C23×D3—42no—
185C23×D3—42no—
186C23×D3—42no—
187C23×D3—82no—
188C2×C3×Q8—24no—
189C2×C3×Q8—24no—
190C2×C3×Q8—21no—
191C2×C3×Q8—21no—
192C2×C3×Q8—21no—
193C2×C3×Q8—22no—
194C2×C3×Q8—28no—
195C2×C3×Q8—22no—
196C2×C3×Q8—22no—
197C2×C3×Q8—22no—
198C2×C3×Q8—22no—
199C2×C3×Q8—44no—
200C2×C3×Q8—44no—
201C2×C3×Q8—44no—
202C2×C3×Q8—48no—
203C2×C3×Q8—48no—
204C2×C3×Q8—44no—
205C2×C3×Q8—44no—
206C2×C3×Q8C2×D414yes—
207C2×C3×Q8C2×D412yes—
208C2×C3×Q8C2×D412yes—
209C2×C3×Q8C2×D412yes—
210C2×C3×D4—22no—
211C2×C3×D4—22no—
212C2×C3×D4SD1614yescomplemented
213C22×C3×C4—21no—
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—24no—
217C22×C3×C4—24no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—22no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—22no—
225C22×C3×C4—44no—
226C22×C3×C4—44no—
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D412yes—
231C22×C3×C4C2×D412yes—
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2411yescharacteristic
234C2×#67—44no—
235C2×#67—44no—
236C2×#67—82no—
237C22×Dic3—22no—
238C2×D12—28no—
239C2×D12—22no—
240C2×D12—22no—
241C2×D12—22no—
242C2×D12—22no—
243C2×D12—22no—
244C2×D12—48no—
245C2×D12—44no—
246C2×D12—44no—
247C2×D12—42no—
248C2×D12C2×D414yes—
249C3×C4⋊C4—24no—
250C3×C4⋊C4—24no—
251C3×C4⋊C4—24no—
252C3×C4⋊C4—24no—
253C3×C4⋊C4—24no—
254C3×C4⋊C4—22no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4C2×D412yes—
257C3×C22⋊C4—24no—
258C3×C22⋊C4—24no—
259C3×C22⋊C4—22no—
260C3×C22⋊C4—22no—
261C3×C42—24no—
262C3×C42—21no—
263C3×C42—21no—
264#217—42no—
265#215—216no—
266#215—216no—
267#215—48no—
268(C2×D3)⋊C4—44no—
269(C2×D3)⋊C4—44no—
270(C2×D3)⋊C4—82no—
271C4⋊Dic3—22no—
272C4⋊Dic3—22no—
273C2×C3⋊C8—28no—
274C2×C3⋊C8—22no—
275C2×C3⋊C8—22no—
276C2×C3⋊C8—22no—
277C2×C3⋊C8—22no—
278C2×C3⋊C8—22no—
279C2×C3⋊C8C2×D414yes—
280C25—61no—
281C22×Q8—22no—
282C22×Q8—22no—
283C22×Q8—21no—
284C22×Q8—21no—
285C22×Q8—22no—
286C22×Q8—24no—
287C22×Q8—24no—
288C22×Q8—42no—
289C22×Q8—42no—
290C22×Q8#6714yescomplemented
291C22×Q8C22×D311yescharacteristic
292C22×Q8C22×D311yescharacteristic
293C22×Q8C22×D311yescharacteristic
294C22×D4—32no—
295C22×D4—64no—
296C22×D4—62no—
297C22×D4—62no—
298C22×D4—62no—
299C22×D4—61no—
300C22×D4—122no—
301C22×D4#6711yescharacteristic
302C23×C4—21no—
303C23×C4—21no—
304C23×C4C22×D311yescharacteristic
305C23×C4C22×D311yescharacteristic
306C2×SD16—38no—
307C2×SD16—64no—
308C2×SD16—64no—
309C2×SD16—632no—
310C2×SD16—64no—
311C2×SD16—64no—
312C2×SD16—64no—
313C2×SD16—64no—
314C2×SD16—64no—
315C2×SD16—122no—
316C22×C8—32no—
317C22×C8—32no—
318C22×C8—64no—
319C22×C8—62no—
320C4⋊Q8—28no—
321C4⋊Q8—22no—
322C4⋊Q8—22no—
323C22⋊Q8—28no—
324C22⋊Q8—28no—
325C22⋊Q8—22no—
326C22⋊Q8—22no—
327C22⋊Q8—22no—
328C22⋊Q8#6714yescomplemented
329#121—64no—
330#121—122no—
331#120—124no—
332C4×Q8—22no—
333C4×Q8—22no—
334C4×D4—28no—
335C4×D4—22no—
336C4×D4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—32no—
343C2×C4⋊C4#6711yescharacteristic
344C2×C4⋊C4C22×D311yescharacteristic
345C2×C22⋊C4—21no—
346C2×C22⋊C4—21no—
347C2×C22⋊C4—61no—
348C2×C22⋊C4—62no—
349C2×C22⋊C4—62no—
350C2×C22⋊C4—62no—
351C2×C22⋊C4#6711yescharacteristic
352C2×C22⋊C4#6711yescharacteristic
353C2×C42—21no—
354C2×C42C22×D311yescharacteristic
355#103—64no—
356#103—64no—
357#103—122no—
358#102—64no—
359C22⋊C8—64no—
360C22⋊C8—62no—
361#95—61no—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—21no—
365C23×C3—22no—
366C23×C3—21no—
367C23×C3—22no—
368C23×C3#12012yes—
369C23×C3C2×SD1612yes—
370C23×C3C2×SD1612yescomplemented
371C23×C3#13712yes—
372C23×C3C22×D411yescharacteristic
373C22×D3—24no—
374C22×D3—48no—
375C22×D3—42no—
376C22×D3—42no—
377C22×D3—42no—
378C22×D3—42no—
379C22×D3—42no—
380C22×D3—42no—
381C22×D3—88no—
382C22×D3—88no—
383C22×D3—84no—
384C22×D3—84no—
385C3×Q8—22no—
386C3×Q8—24no—
387C3×Q8—22no—
388C3×Q8—22no—
389C3×Q8—24no—
390C3×Q8—48no—
391C3×Q8—48no—
392C3×Q8—41no—
393C3×Q8—41no—
394C3×Q8—42no—
395C3×Q8#12014yescomplemented
396C3×D4—28no—
397C2×C3×C4—21no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—24no—
401C2×C3×C4—21no—
402C2×C3×C4—22no—
403C2×C3×C4—22no—
404C2×C3×C4—24no—
405C2×C3×C4—21no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—21no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—48no—
413C2×C3×C4—48no—
414C2×C3×C4—42no—
415C2×C3×C4—42no—
416C2×C3×C4—42no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—42no—
420C2×C3×C4#12012yes—
421C2×C3×C4C2×SD1612yescomplemented
422C2×C3×C4C22×D412yes—
423C2×C3×C4C22×D411yescharacteristic
424C2×C3×C4C22×D411yescharacteristic
425C2×C3×C4H(5,𝔽2)12yes—
426#67—88no—
427C2×Dic3—42no—
428C2×Dic3—42no—
429C2×Dic3—42no—
430D12—24no—
431D12—24no—
432D12—48no—
433D12—42no—
434D12—42no—
435C3⋊C8—24no—
436C3⋊C8—42no—
437C24—62no—
438C24—124no—
439C24—122no—
440C24—122no—
441C24—122no—
442C24—242no—
443C24C2×#6711yescharacteristic
444C24C2×#6711yescharacteristic
445C2×Q8—24no—
446C2×Q8—24no—
447C2×Q8—22no—
448C2×Q8—21no—
449C2×Q8—21no—
450C2×Q8—21no—
451C2×Q8—28no—
452C2×Q8—22no—
453C2×Q8—22no—
454C2×Q8—22no—
455C2×Q8—22no—
456C2×Q8—44no—
457C2×Q8—44no—
458C2×Q8—44no—
459C2×Q8—48no—
460C2×Q8—48no—
461C2×Q8—44no—
462C2×Q8—44no—
463C2×Q8D3×D414yes—
464C2×Q8C2×#6712yes—
465C2×Q8C2×#6712yes—
466C2×Q8C2×#6712yes—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—34no—
470C2×D4—68no—
471C2×D4—62no—
472C2×D4—62no—
473C2×D4—62no—
474C2×D4—62no—
475C2×D4—62no—
476C2×D4—128no—
477C2×D4—124no—
478C2×D4—124no—
479C2×D4—124no—
480C2×D4—124no—
481C2×D4—122no—
482C2×D4—242no—
483C2×D4#21514yescomplemented
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—62no—
499C22×C4C2×#6711yescharacteristic
500C22×C4C2×#6711yescharacteristic
501C22×C4C2×#6711yescharacteristic
502C22×C4C2×#6711yescharacteristic
503C22×C4C2×#6712yes—
504C22×C4C2×#6712yes—
505C22×C4C23×D311yescharacteristic
506SD16—616no—
507SD16—616no—
508SD16—128no—
509C2×C8—34no—
510C2×C8—68no—
511C2×C8—62no—
512C2×C8—62no—
513C2×C8—62no—
514C2×C8—62no—
515C2×C8—62no—
516C4⋊C4—24no—
517C4⋊C4—24no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—24no—
521C4⋊C4—22no—
522C4⋊C4—21no—
523C4⋊C4—62no—
524C4⋊C4—62no—
525C4⋊C4C2×#6712yes—
526C22⋊C4—24no—
527C22⋊C4—24no—
528C22⋊C4—22no—
529C22⋊C4—22no—
530C22⋊C4—124no—
531C22⋊C4—122no—
532C22⋊C4—124no—
533C22⋊C4—242no—
534C42—24no—
535C42—21no—
536C42—21no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—24no—
540C22×C3—24no—
541C22×C3—22no—
542C22×C3—24no—
543C22×C3—41no—
544C22×C3—41no—
545C22×C3—42no—
546C22×C3#44814yescomplemented
547C22×C3C2×#12011yescharacteristic
548C22×C3D4212yes—
549C22×C3C22×SD1611yescharacteristic
550C22×C3C2×#13711yescharacteristic
551C22×C3#57712yes—
552C2×D3—44no—
553C2×D3—44no—
554C2×D3—44no—
555C2×D3—816no—
556C2×D3—82no—
557C2×D3—82no—
558C2×D3—82no—
559C2×D3—82no—
560C3×C4—22no—
561C3×C4—24no—
562C3×C4—22no—
563C3×C4—41no—
564C3×C4—42no—
565C3×C4—42no—
566C3×C4—41no—
567C3×C4—42no—
568C3×C4C2×#12011yescharacteristic
569C3×C4#53411yescharacteristic
570C3×C4D4212yes—
571Dic3—82no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—21no—
576C23—22no—
577C23—21no—
578C23—64no—
579C23—128no—
580C23—122no—
581C23—122no—
582C23—122no—
583C23—122no—
584C23—122no—
585C23—122no—
586C23—248no—
587C23—248no—
588C23—244no—
589C23—244no—
590C23C2×#21512yes—
591C23C2×#21512yescomplemented
592C23#94212yes—
593C23#95312yes—
594C23C22×#6711yescharacteristic
595Q8—24no—
596Q8—22no—
597Q8—22no—
598Q8—24no—
599Q8—22no—
600Q8—48no—
601Q8—48no—
602Q8—41no—
603Q8—42no—
604Q8—41no—
605Q8#93714yescomplemented
606D4—28no—
607D4—64no—
608D4—64no—
609D4—128no—
610D4—122no—
611D4—122no—
612D4—248no—
613C2×C4—22no—
614C2×C4—24no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—48no—
629C2×C4—48no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—122no—
637C2×C4—122no—
638C2×C4—122no—
639C2×C4C2×#21512yescomplemented
640C2×C4#95312yes—
641C2×C4C2×D3×D412yes—
642C2×C4#100412yes—
643C2×C4C22×#6711yescharacteristic
644C2×C4C22×#6711yescharacteristic
645C8—64no—
646C8—122no—
647C2×C3—24no—
648C2×C3—42no—
649C2×C3#240311yescharacteristic
650C2×C3C2×#44811yescharacteristic
651C2×C3#301011yescharacteristic
652C2×C3#326612yes—
653C2×C3D4×SD1612yes—
654D3—84no—
655C22—22no—
656C22—24no—
657C22—24no—
658C22—22no—
659C22—22no—
660C22—24no—
661C22—41no—
662C22—42no—
663C22—41no—
664C22—124no—
665C22—124no—
666C22—124no—
667C22—2416no—
668C22—242no—
669C22—242no—
670C22—242no—
671C22—242no—
672C22#522714yescomplemented
673C22D4×#6712yes—
674C22C22×#21511yescharacteristic
675C22C2×#94211yescharacteristic
676C22#583712yes—
677C22C2×#95311yescharacteristic
678C4—22no—
679C4—24no—
680C4—22no—
681C4—41no—
682C4—42no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—242no—
687C4C2×#93711yescharacteristic
688C4D4×#6712yes—
689C4#580411yescharacteristic
690C3#2385511yescharacteristic, complemented, Sylow
691C2—24no—
692C2—42no—
693C2—244no—
694C2#8355912yes—
695C2D4×#21512yes—
696C2#8405211yescharacteristic
697C2C2×#522711yescharacteristic
698C2#8411311yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×D4×Q8C2
socleC23×C3C22×D4
prime radical#82403C2
hypercenterC2×D4×Q8D3
hypocenterC3#23855
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×D4×Q8

Complements

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

NH ≅ G/Ntype
1. C2×C3×D4×Q8C2semidirect
2. C23×#215C2semidirect
3. C2×#5227C2semidirect
4. C2×#5046C2semidirect
6. #72132C2semidirect
7. #71791C2semidirect
8. #71699C2semidirect
9. #71696C2semidirect
10. #71633C2semidirect
11. #71610C2semidirect
14. C23×C3×Q8C22semidirect
19. C2×C3×C4⋊Q8C22semidirect
23. C2×C3×C22⋊Q8C22semidirect
24. C2×C3×C4×Q8C22semidirect
36. C2×#835C22semidirect
37. C2×#835C22semidirect
38. C2×#835C22semidirect
41. C2×#830C22semidirect
48. #4529C22semidirect
49. #4524C22semidirect
51. C2×D4×Q8D3semidirect
71. C22×C3×Q8D4semidirect
95. C3×C22⋊Q8D4semidirect
124. C2×#215D4semidirect
144. C23×Q8C2×D3semidirect
155. C2×C4⋊Q8C2×D3semidirect
159. C2×C22⋊Q8C2×D3semidirect
162. C2×C4×Q8C2×D3semidirect
212. C2×C3×D4SD16semidirect
290. C22×Q8#67semidirect
328. C22⋊Q8#67semidirect
370. C23×C3C2×SD16semidirect
395. C3×Q8#120semidirect
421. C2×C3×C4C2×SD16semidirect
483. C2×D4#215semidirect
546. C22×C3#448semidirect
591. C23C2×#215semidirect
605. Q8#937semidirect
639. C2×C4C2×#215semidirect
672. C22#5227semidirect
690. C3#23855semidirect

Maximal subgroups

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

subgroupindex
C2×C3×D4×Q82
C23×#2152
C2×#52272
C2×#50462
#824032
#721322
#717912
#716992
#716962
#716332
#716102
#238553