Finite Group Databasebeta

← #368034

Subgroups — #368034

Order 512.

2236 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C22⋊Q8C211yesmaximal, characteristic
2C22×#389C211yesmaximal, characteristic
3C2×#1872C211yesmaximal, characteristic
4C2×#1872C211yesmaximal, characteristic
5C2×#1865C212yesmaximal, complemented
6C2×#1853C211yesmaximal, characteristic
7#11327C212yesmaximal, complemented
8#11067C212yesmaximal, complemented
9#10884C212yesmaximal, complemented
10#10730C211yesmaximal, characteristic
11#10712C211yesmaximal, characteristic
12C22×C22⋊Q8C2211yescharacteristic
13C22×C4×Q8C2211yescharacteristic
14C23×C4⋊C4—21no—
15C23×C4⋊C4C2211yescharacteristic
16C23×C4⋊C4C2211yescharacteristic
17C23×C42C2211yescharacteristic
18C22×#106C2212yes—
19C22×#103C2212yes—
20C22×#103C2212yes—
21C22×C22⋊C8C2211yescharacteristic
22C22×C22⋊C8C2211yescharacteristic
23C4×C22⋊Q8—24no—
24C4×C22⋊Q8—24no—
25C2×#391C2211yescharacteristic
26C2×#389—21no—
27C2×#389—21no—
28C2×#389—28no—
29C2×#389C2212yes—
30C2×#389C2211yescharacteristic
31C2×#389C2212yes—
32C2×#387—21no—
33C2×#385—21no—
34C2×#380C2211yescharacteristic
35C2×C4×C4⋊C4—21no—
36C2×C4×C4⋊C4C2211yescharacteristic
37C2×C4×C22⋊C4—21no—
38C22×#95—21no—
39#1872—24no—
40#1872C418yescomplemented
41#1865—28no—
42#1853—24no—
43C2×#340C2212yes—
44C2×#340C2212yes—
45C2×#340C2212yes—
46C2×#340C2212yes—
47C2×#340C2212yes—
48C2×#336C2212yes—
49C2×#336C2212yes—
50C23×Q8C2311yescharacteristic
51C24×C4—21no—
52C24×C4—21no—
53C24×C4D411yescharacteristic
54C24×C4D411yescharacteristic
55C24×C4C2311yescharacteristic
56C23×C8C2312yes—
57C23×C8C2312yes—
58C2×C22⋊Q8—22no—
59C2×C22⋊Q8—22no—
60C2×C22⋊Q8—22no—
61C2×C22⋊Q8C2×C414yes—
62C2×C22⋊Q8D414yes—
63C2×C22⋊Q8Q814yes—
64C2×C4×Q8—22no—
65C2×C4×Q8—22no—
66C2×C4×Q8—24no—
67C2×C4×Q8—42no—
68C22×C4⋊C4—21no—
69C22×C4⋊C4—21no—
70C22×C4⋊C4—22no—
71C22×C4⋊C4—24no—
72C22×C4⋊C4—24no—
73C22×C4⋊C4—28no—
74C22×C4⋊C4—22no—
75C22×C4⋊C4—22no—
76C22×C4⋊C4—21no—
77C22×C4⋊C4—21no—
78C22×C4⋊C4—21no—
79C22×C4⋊C4—24no—
80C22×C4⋊C4—22no—
81C22×C4⋊C4—22no—
82C22×C4⋊C4—42no—
83C22×C4⋊C4—44no—
84C22×C4⋊C4—44no—
85C22×C4⋊C4C2×C414yes—
86C22×C4⋊C4C2312yes—
87C22×C4⋊C4C2311yescharacteristic
88C22×C4⋊C4C2311yescharacteristic
89C22×C4⋊C4C2311yescharacteristic
90C22×C4⋊C4C2312yes—
91C22×C22⋊C4—21no—
92C22×C22⋊C4—21no—
93C22×C42—22no—
94C22×C42—22no—
95C22×C42—21no—
96C22×C42—21no—
97C22×C42—24no—
98C22×C42—42no—
99C22×C42D411yescharacteristic
100C22×C42D411yescharacteristic
101C22×C42C2311yescharacteristic
102C22×C42C2311yescharacteristic
103C2×#106—24no—
104C2×#106—24no—
105C2×#106—42no—
106C2×#103—24no—
107C2×#103—24no—
108C2×#103—24no—
109C2×#103—24no—
110C2×#103—42no—
111C2×#103C2×C418yescomplemented
112C2×C22⋊C8—22no—
113C2×C22⋊C8—22no—
114C2×C22⋊C8—22no—
115C2×C22⋊C8—22no—
116C2×C22⋊C8—22no—
117C2×C22⋊C8C2×C414yes—
118#391—22no—
119#391—22no—
120#389—28no—
121#389—28no—
122#389—24no—
123#389—24no—
124#389—22no—
125#389—22no—
126#389—24no—
127#389D418yes—
128#387—28no—
129#385—28no—
130#380—22no—
131#380D414yes—
132C4×C4⋊C4—28no—
133C4×C4⋊C4—22no—
134C4×C4⋊C4—22no—
135C4×C22⋊C4—28no—
136C2×#95—28no—
137C2×#95—22no—
138C2×#95—22no—
139C2×#95—21no—
140C2×#95—21no—
141C2×#95—21no—
142C2×#95—21no—
143C2×#95—21no—
144#340—24no—
145#340—24no—
146#340—24no—
147#340—24no—
148#340C2×C418yescomplemented
149#336—24no—
150#336—42no—
151C25C2×D411yescharacteristic
152C22×Q8—21no—
153C22×Q8—21no—
154C22×Q8—21no—
155C22×Q8—22no—
156C22×Q8—22no—
157C22×Q8—22no—
158C22×Q8—22no—
159C22×Q8C22×C412yes—
160C22×Q8C2×D412yes—
161C22×Q8C2×Q812yes—
162C23×C4—22no—
163C23×C4—22no—
164C23×C4—22no—
165C23×C4—22no—
166C23×C4—24no—
167C23×C4—24no—
168C23×C4—24no—
169C23×C4—22no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—21no—
173C23×C4—21no—
174C23×C4—22no—
175C23×C4—22no—
176C23×C4—22no—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—24no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—21no—
183C23×C4—21no—
184C23×C4—22no—
185C23×C4—41no—
186C23×C4—41no—
187C23×C4—41no—
188C23×C4—41no—
189C23×C4—42no—
190C23×C4—42no—
191C23×C4—42no—
192C23×C4—42no—
193C23×C4—42no—
194C23×C4—42no—
195C23×C4—42no—
196C23×C4—42no—
197C23×C4—42no—
198C23×C4—42no—
199C23×C4SD1614yes—
200C23×C4C22×C412yes—
201C23×C4C2×D411yescharacteristic
202C23×C4C2×D411yescharacteristic
203C23×C4C2×D411yescharacteristic
204C23×C4C2×D412yes—
205C23×C4C2×D411yescharacteristic
206C23×C4C2×D412yes—
207C23×C4C2×D411yescharacteristic
208C23×C4C2×Q812yes—
209C23×C4#4112yes—
210C23×C4#4112yes—
211C23×C4C2411yescharacteristic
212C22×C8—22no—
213C22×C8—22no—
214C22×C8—22no—
215C22×C8—22no—
216C22×C8—22no—
217C22×C8—22no—
218C22×C8—22no—
219C22×C8—22no—
220C22×C8—22no—
221C22×C8—22no—
222C22×C8—22no—
223C22×C8—22no—
224C22×C8—22no—
225C22×C8C22×C414yes—
226C22⋊Q8—28no—
227C22⋊Q8—28no—
228C22⋊Q8—28no—
229C22⋊Q8C4⋊C4116yescomplemented
230C4×Q8—48no—
231C4×Q8—48no—
232C2×C4⋊C4—24no—
233C2×C4⋊C4—216no—
234C2×C4⋊C4—24no—
235C2×C4⋊C4—24no—
236C2×C4⋊C4—24no—
237C2×C4⋊C4—24no—
238C2×C4⋊C4—24no—
239C2×C4⋊C4—22no—
240C2×C4⋊C4—21no—
241C2×C4⋊C4—22no—
242C2×C4⋊C4—22no—
243C2×C4⋊C4—21no—
244C2×C4⋊C4—21no—
245C2×C4⋊C4—216no—
246C2×C4⋊C4—22no—
247C2×C4⋊C4—22no—
248C2×C4⋊C4—22no—
249C2×C4⋊C4—22no—
250C2×C4⋊C4—22no—
251C2×C4⋊C4—22no—
252C2×C4⋊C4—22no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—24no—
255C2×C4⋊C4—28no—
256C2×C4⋊C4—24no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—28no—
259C2×C4⋊C4—22no—
260C2×C4⋊C4—21no—
261C2×C4⋊C4—21no—
262C2×C4⋊C4—48no—
263C2×C4⋊C4—48no—
264C2×C4⋊C4—42no—
265C2×C4⋊C4—42no—
266C2×C4⋊C4—44no—
267C2×C4⋊C4—432no—
268C2×C4⋊C4—42no—
269C2×C4⋊C4—42no—
270C2×C4⋊C4—42no—
271C2×C4⋊C4—44no—
272C2×C4⋊C4—44no—
273C2×C4⋊C4—44no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4C22×C412yes—
276C2×C4⋊C4C22×C414yes—
277C2×C4⋊C4C2×D414yes—
278C2×C4⋊C4C2×D412yes—
279C2×C4⋊C4C2×D412yes—
280C2×C4⋊C4C2×D412yes—
281C2×C4⋊C4C2×D414yes—
282C2×C4⋊C4C2×Q812yes—
283C2×C4⋊C4#4114yes—
284C2×C22⋊C4—24no—
285C2×C22⋊C4—24no—
286C2×C22⋊C4—24no—
287C2×C22⋊C4—24no—
288C2×C22⋊C4—42no—
289C2×C22⋊C4—42no—
290C2×C42—21no—
291C2×C42—21no—
292C2×C42—22no—
293C2×C42—24no—
294C2×C42—24no—
295C2×C42—22no—
296C2×C42—22no—
297C2×C42—22no—
298C2×C42—22no—
299C2×C42—22no—
300C2×C42—21no—
301C2×C42—21no—
302C2×C42—22no—
303C2×C42—48no—
304C2×C42—48no—
305C2×C42—41no—
306C2×C42—41no—
307C2×C42—42no—
308C2×C42—42no—
309C2×C42—42no—
310C2×C42—42no—
311C2×C42C2×D414yes—
312#106—48no—
313#103—216no—
314#103—48no—
315C22⋊C8—28no—
316C22⋊C8—44no—
317#95—28no—
318#95—24no—
319#95—24no—
320#95—24no—
321#95—24no—
322#95—28no—
323#95—24no—
324C24—21no—
325C24—21no—
326C24—21no—
327C24—21no—
328C24—21no—
329C24—21no—
330C24—21no—
331C24—21no—
332C24C4×D412yes—
333C24#12012yes—
334C24C22⋊Q812yes—
335C24C2×SD1612yes—
336C24#13512yes—
337C24#13712yes—
338C24#13712yes—
339C24C22×D411yescharacteristic
340C2×Q8—22no—
341C2×Q8—22no—
342C2×Q8—22no—
343C2×Q8—24no—
344C2×Q8—24no—
345C2×Q8—24no—
346C2×Q8—24no—
347C2×Q8—24no—
348C2×Q8—24no—
349C2×Q8—42no—
350C2×Q8—42no—
351C2×Q8—42no—
352C2×Q8—42no—
353C2×Q8—42no—
354C2×Q8—42no—
355C2×Q8C2×C4⋊C414yescomplemented
356C22×C4—21no—
357C22×C4—21no—
358C22×C4—21no—
359C22×C4—21no—
360C22×C4—21no—
361C22×C4—21no—
362C22×C4—21no—
363C22×C4—21no—
364C22×C4—24no—
365C22×C4—24no—
366C22×C4—24no—
367C22×C4—24no—
368C22×C4—24no—
369C22×C4—24no—
370C22×C4—24no—
371C22×C4—24no—
372C22×C4—24no—
373C22×C4—24no—
374C22×C4—24no—
375C22×C4—24no—
376C22×C4—216no—
377C22×C4—28no—
378C22×C4—22no—
379C22×C4—22no—
380C22×C4—24no—
381C22×C4—21no—
382C22×C4—21no—
383C22×C4—21no—
384C22×C4—21no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—24no—
388C22×C4—21no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—24no—
392C22×C4—21no—
393C22×C4—21no—
394C22×C4—21no—
395C22×C4—21no—
396C22×C4—21no—
397C22×C4—21no—
398C22×C4—21no—
399C22×C4—21no—
400C22×C4—21no—
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—21no—
404C22×C4—21no—
405C22×C4—28no—
406C22×C4—28no—
407C22×C4—22no—
408C22×C4—22no—
409C22×C4—24no—
410C22×C4—44no—
411C22×C4—44no—
412C22×C4—44no—
413C22×C4—44no—
414C22×C4—44no—
415C22×C4—44no—
416C22×C4—44no—
417C22×C4—44no—
418C22×C4—44no—
419C22×C4—48no—
420C22×C4—48no—
421C22×C4—48no—
422C22×C4—44no—
423C22×C4—48no—
424C22×C4—48no—
425C22×C4—41no—
426C22×C4—41no—
427C22×C4—41no—
428C22×C4—41no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—41no—
432C22×C4—42no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—42no—
437C22×C4—48no—
438C22×C4—44no—
439C22×C4—48no—
440C22×C4—48no—
441C22×C4—48no—
442C22×C4—41no—
443C22×C4—42no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—42no—
447C22×C4—41no—
448C22×C4—42no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—42no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—42no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—42no—
460C22×C4—84no—
461C22×C4—84no—
462C22×C4—84no—
463C22×C4—84no—
464C22×C4C2×C4⋊C414yes—
465C22×C4C4×D414yes—
466C22×C4C4×D412yes—
467C22×C4#12012yes—
468C22×C4#12012yes—
469C22×C4#12012yes—
470C22×C4C22⋊Q814yes—
471C22×C4C22⋊Q812yes—
472C22×C4#12314yes—
473C22×C4C2×SD1612yes—
474C22×C4C2×SD1612yes—
475C22×C4AGL(1,ℤ/8)12yes—
476C22×C4#13712yes—
477C22×C4C23×C411yescharacteristic
478C22×C4C22×D411yescharacteristic
479C22×C4C22×D411yescharacteristic
480C22×C4C22×D412yes—
481C22×C4C22×Q811yescharacteristic
482C22×C4C2×#4111yescharacteristic
483C22×C4C2×#4112yes—
484C22×C4C2×#4111yescharacteristic
485C22×C4H(5,𝔽2)12yes—
486C22×C42−1+412yes—
487C2×C8—24no—
488C2×C8—24no—
489C2×C8—24no—
490C2×C8—42no—
491C2×C8—42no—
492C2×C8—42no—
493C2×C8—42no—
494C2×C8—42no—
495C2×C8—42no—
496C2×C8—42no—
497C2×C8—42no—
498C2×C8—42no—
499C2×C8—42no—
500C2×C8—42no—
501C4⋊C4—216no—
502C4⋊C4—24no—
503C4⋊C4—22no—
504C4⋊C4—22no—
505C4⋊C4—22no—
506C4⋊C4—24no—
507C4⋊C4—24no—
508C4⋊C4—216no—
509C4⋊C4—24no—
510C4⋊C4—24no—
511C4⋊C4—24no—
512C4⋊C4—24no—
513C4⋊C4—48no—
514C4⋊C4—48no—
515C4⋊C4—416no—
516C4⋊C4—48no—
517C4⋊C4—42no—
518C4⋊C4—42no—
519C4⋊C4—42no—
520C4⋊C4—42no—
521C4⋊C4—416no—
522C4⋊C4C2×C4⋊C414yescomplemented
523C4⋊C4C4×D418yes—
524C22⋊C4—216no—
525C22⋊C4—48no—
526C42—24no—
527C42—24no—
528C42—44no—
529C42—44no—
530C42—48no—
531C42—48no—
532C42—42no—
533C42—42no—
534C23—22no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—22no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—22no—
548C23—22no—
549C23—22no—
550C23—22no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—22no—
556C23—22no—
557C23—22no—
558C23—22no—
559C23—22no—
560C23—22no—
561C23—22no—
562C23#38514yes—
563C23C4×SD1614yes—
564C23#44114yes—
565C23#44814yes—
566C23#45214yes—
567C23#47514yes—
568C23#47914yes—
569C23C2×C4×D411yescharacteristic
570C23C2×#12011yescharacteristic
571C23C2×#12011yescharacteristic
572C23C2×C22⋊Q811yescharacteristic
573C23#52511yescharacteristic
574C23#53411yescharacteristic
575C23#53611yescharacteristic
576C23C22×SD1611yescharacteristic
577C23C2×#13511yescharacteristic
578C23C2×AGL(1,ℤ/8)11yescharacteristic
579C23C2×#13711yescharacteristic
580C23C2×#13711yescharacteristic
581C23C2×#13711yescharacteristic
582C23#57511yescharacteristic
583C23#57511yescharacteristic
584Q8—28no—
585Q8—44no—
586Q8—44no—
587Q8—44no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—28no—
601C2×C4—28no—
602C2×C4—28no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—28no—
616C2×C4—416no—
617C2×C4—416no—
618C2×C4—432no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—44no—
624C2×C4—44no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—44no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—44no—
643C2×C4—42no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—816no—
659C2×C4—81no—
660C2×C4—81no—
661C2×C4—82no—
662C2×C4—81no—
663C2×C4—82no—
664C2×C4—81no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4—82no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—82no—
671C2×C4#38514yes—
672C2×C4#45014yes—
673C2×C4C22×C4⋊C411yescharacteristic
674C2×C4C2×C4×D412yes—
675C2×C4C2×C4×D411yescharacteristic
676C2×C4#52012yes—
677C2×C4C2×C22⋊Q811yescharacteristic
678C2×C4C2×#12311yescharacteristic
679C2×C4#52512yes—
680C2×C4#53912yes—
681C2×C4D4212yes—
682C2×C4D4212yes—
683C2×C4#54712yes—
684C2×C4#54712yes—
685C2×C4#54812yes—
686C2×C4D4×Q812yes—
687C2×C4#55312yes—
688C2×C4#55412yes—
689C8—44no—
690C8—82no—
691C22—24no—
692C22—24no—
693C22—24no—
694C22—24no—
695C22—24no—
696C22—24no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—24no—
703C22—24no—
704C22—24no—
705C22#186518yescomplemented
706C22C2×#38511yescharacteristic
707C22C4×#12011yescharacteristic
708C22#232211yescharacteristic
709C22#240311yescharacteristic
710C22#240611yescharacteristic
711C22#240911yescharacteristic
712C22#257911yescharacteristic
713C22C2×C4×SD1611yescharacteristic
714C22C2×#44111yescharacteristic
715C22C4×AGL(1,ℤ/8)11yescharacteristic
716C22C4×#13711yescharacteristic
717C22C2×#45011yescharacteristic
718C22C2×#44811yescharacteristic
719C22C2×#45211yescharacteristic
720C22#300211yescharacteristic
721C22#300411yescharacteristic
722C22#300611yescharacteristic
723C22#300711yescharacteristic
724C22#300711yescharacteristic
725C22C2×#47511yescharacteristic
726C22C2×#47911yescharacteristic
727C22#307911yescharacteristic
728C22#308011yescharacteristic
729C22#310111yescharacteristic
730C22#310511yescharacteristic
731C22#311311yescharacteristic
732C22#311711yescharacteristic
733C22#318711yescharacteristic
734C22#319011yescharacteristic
735C22#319311yescharacteristic
736C22#319611yescharacteristic
737C22#322911yescharacteristic
738C22#323211yescharacteristic
739C22#323611yescharacteristic
740C22#323911yescharacteristic
741C4—24no—
742C4—24no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—44no—
747C4—44no—
748C4—48no—
749C4—82no—
750C4—84no—
751C4—82no—
752C4D4×C4⋊C412yes—
753C4#236112yes—
754C4#244312yes—
755C4#244912yes—
756C2—28no—
757C2#1401511yescharacteristic
758C2C2×#186511yescharacteristic
759C2#2087511yescharacteristic
760C2C4×#45011yescharacteristic
761C2#2145511yescharacteristic
762C2#2207811yescharacteristic
763C2#2208511yescharacteristic
764C2#2391911yescharacteristic
765C2#2392211yescharacteristic
766C2#2406311yescharacteristic
767C2#2406711yescharacteristic
768C2#2430111yescharacteristic
769C2#2430711yescharacteristic
770C2#2924011yescharacteristic
771C2#2924311yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C23×C42 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
5. C2×#1865C2semidirect
7. #11327C2semidirect
8. #11067C2semidirect
9. #10884C2semidirect
40. #1872C4semidirect
111. C2×#103C2×C4semidirect
148. #340C2×C4semidirect
229. C22⋊Q8C4⋊C4semidirect
355. C2×Q8C2×C4⋊C4semidirect
522. C4⋊C4C2×C4⋊C4semidirect
705. C22#1865semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C22⋊Q82
C22×#3892
C2×#18722
C2×#18652
C2×#18532
#113272
#110672
#108842
#107302
#107122