Finite Group Databasebeta

← #364993

Subgroups — #364993

Order 512.

2434 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2535C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3C2×#1955C211yesmaximal, characteristic, complemented
4C2×#1874C212yesmaximal, complemented
5C2×#1802C211yesmaximal, characteristic, complemented
6C2×#1762C211yesmaximal, characteristic, complemented
7#11200C212yesmaximal, complemented
8#10969C212yesmaximal, complemented
9#10850C211yesmaximal, characteristic, complemented
10#10843C211yesmaximal, characteristic, complemented
11#10730C212yesmaximal, complemented
12C22×#121C2212yes—
13C22×C4×D4—21no—
14C22×C4×D4C2211yescharacteristic
15C22×C4×D4C2211yescharacteristic
16C23×C4⋊C4C2212yes—
17C22×C4⋊C8C2211yescharacteristic
18C22×#102C2211yescharacteristic
19C22×#102C2212yes—
20C22×#102C2211yescharacteristic
21C22×C22⋊C8C2212yes—
22C22×C22⋊C8C2212yes—
23C22×#97C2211yescharacteristic
24#2535—24no—
25#2535C418yescomplemented
26C2×#397—21no—
27C2×#392—21no—
28D4×C4⋊C4—24no—
29D4×C4⋊C4—24no—
30C2×#389—21no—
31C2×#386—22no—
32C2×#385—22no—
33C2×#384C2211yescharacteristic
34C2×#382C2211yescharacteristic
35C2×#380C2212yes—
36C2×#380C2212yes—
37C2×C4×C4⋊C4C2211yescharacteristic
38#1955—24no—
39#1874—28no—
40#1802—24no—
41#1762—24no—
42C2×#340C2212yes—
43C2×#340C2212yes—
44C2×#340C2212yes—
45C2×#340C2211yescharacteristic
46C2×#340C2211yescharacteristic
47C2×#340C2212yes—
48C2×#340C2212yes—
49C23×D4—22no—
50C23×D4D411yescharacteristic
51C23×D4C2311yescharacteristic
52C24×C4—22no—
53C24×C4—21no—
54C24×C4C2312yes—
55C23×C8C2312yes—
56C23×C8C2311yescharacteristic
57C23×C8C2311yescharacteristic
58C2×#121—24no—
59C2×#121—24no—
60C2×#121—24no—
61C2×#121—42no—
62C2×#121—42no—
63C2×#121C2×C418yescomplemented
64C2×C4×D4—28no—
65C2×C4×D4—22no—
66C2×C4×D4—22no—
67C2×C4×D4—22no—
68C2×C4×D4—22no—
69C2×C4×D4—22no—
70C2×C4×D4—22no—
71C2×C4×D4—22no—
72C2×C4×D4—22no—
73C2×C4×D4—22no—
74C2×C4×D4—48no—
75C2×C4×D4C2×C414yes—
76C2×C4×D4C2×C414yescomplemented
77C2×C4×D4D414yes—
78C22×C4⋊C4—22no—
79C22×C4⋊C4—21no—
80C22×C4⋊C4—21no—
81C22×C4⋊C4—24no—
82C22×C4⋊C4—24no—
83C22×C4⋊C4—24no—
84C22×C4⋊C4—24no—
85C22×C4⋊C4—42no—
86C22×C4⋊C4—42no—
87C22×C4⋊C4D411yescharacteristic
88C22×C4⋊C4C2311yescharacteristic
89C22×C4⋊C4C2312yes—
90C22×C4⋊C4C2312yes—
91C22×C4⋊C4C2311yescharacteristic
92C22×C4⋊C4C2311yescharacteristic
93C22×C22⋊C4—22no—
94C22×C22⋊C4—21no—
95C22×C22⋊C4—22no—
96C22×C22⋊C4—22no—
97C22×C22⋊C4D412yes—
98C22×C42—21no—
99C22×C42C2311yescharacteristic
100C2×C4⋊C8—22no—
101C2×C4⋊C8—22no—
102C2×C4⋊C8—22no—
103C2×#102—22no—
104C2×#102—22no—
105C2×#102—22no—
106C2×#102—22no—
107C2×#102—22no—
108C2×#102—24no—
109C2×#102—24no—
110C2×#102—42no—
111C2×#102D414yescomplemented
112C2×C22⋊C8—24no—
113C2×C22⋊C8—24no—
114C2×C22⋊C8—24no—
115C2×C22⋊C8—24no—
116C2×C22⋊C8—42no—
117C2×C22⋊C8—42no—
118C2×#97—22no—
119C2×#97—22no—
120C2×#97—22no—
121#397—28no—
122#392—28no—
123#389—28no—
124#386—216no—
125#385—216no—
126#384—22no—
127#384D414yescomplemented
128#382—22no—
129#382C2×C414yescomplemented
130#380—24no—
131#380—24no—
132#380—24no—
133#380C2×C418yescomplemented
134C4×C4⋊C4—22no—
135C4×C4⋊C4D414yescomplemented
136C2×#95—21no—
137C2×#95—22no—
138C2×#95—21no—
139C2×#95—22no—
140C2×#95—21no—
141#340—24no—
142#340—24no—
143#340—24no—
144#340—22no—
145#340—22no—
146#340—42no—
147#340—42no—
148C25—21no—
149C25C2×D412yes—
150C22×D4—24no—
151C22×D4—24no—
152C22×D4—28no—
153C22×D4—22no—
154C22×D4—22no—
155C22×D4—21no—
156C22×D4—21no—
157C22×D4—21no—
158C22×D4—21no—
159C22×D4—21no—
160C22×D4—21no—
161C22×D4—21no—
162C22×D4—21no—
163C22×D4—21no—
164C22×D4—21no—
165C22×D4—21no—
166C22×D4—44no—
167C22×D4—44no—
168C22×D4—44no—
169C22×D4—44no—
170C22×D4—82no—
171C22×D4—82no—
172C22×D4C22⋊C414yes—
173C22×D4C22×C412yes—
174C22×D4C2×D412yes—
175C22×D4#4112yes—
176C23×C4—21no—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—22no—
182C23×C4—22no—
183C23×C4—22no—
184C23×C4—22no—
185C23×C4—22no—
186C23×C4—22no—
187C23×C4—22no—
188C23×C4—22no—
189C23×C4—21no—
190C23×C4—22no—
191C23×C4—21no—
192C23×C4—22no—
193C23×C4—28no—
194C23×C4—24no—
195C23×C4—44no—
196C23×C4—44no—
197C23×C4—44no—
198C23×C4—44no—
199C23×C4—42no—
200C23×C4—42no—
201C23×C4—82no—
202C23×C4—82no—
203C23×C4—82no—
204C23×C4—82no—
205C23×C4C22×C414yes—
206C23×C4C2×D412yes—
207C23×C4C2×D414yes—
208C23×C4C2×D411yescharacteristic
209C23×C4C2×D411yescharacteristic
210C23×C4C2411yescharacteristic
211C22×C8—21no—
212C22×C8—21no—
213C22×C8—21no—
214C22×C8—21no—
215C22×C8—21no—
216C22×C8—21no—
217C22×C8—21no—
218C22×C8—21no—
219C22×C8—21no—
220C22×C8—21no—
221C22×C8—21no—
222C22×C8—21no—
223C22×C8—22no—
224C22×C8—22no—
225C22×C8—22no—
226C22×C8—22no—
227C22×C8—22no—
228C22×C8—22no—
229C22×C8—22no—
230C22×C8C2×D412yes—
231C22×C8#4112yes—
232#121—216no—
233#121—48no—
234#121—48no—
235#121—48no—
236C4×D4—28no—
237C4×D4—28no—
238C4×D4—28no—
239C4×D4—28no—
240C4×D4—28no—
241C4×D4—28no—
242C4×D4—432no—
243C4×D4—44no—
244C4×D4—44no—
245C2×C4⋊C4—22no—
246C2×C4⋊C4—22no—
247C2×C4⋊C4—21no—
248C2×C4⋊C4—21no—
249C2×C4⋊C4—21no—
250C2×C4⋊C4—22no—
251C2×C4⋊C4—21no—
252C2×C4⋊C4—21no—
253C2×C4⋊C4—22no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—21no—
256C2×C4⋊C4—21no—
257C2×C4⋊C4—22no—
258C2×C4⋊C4—21no—
259C2×C4⋊C4—21no—
260C2×C4⋊C4—22no—
261C2×C4⋊C4—22no—
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—21no—
265C2×C4⋊C4—21no—
266C2×C4⋊C4—28no—
267C2×C4⋊C4—24no—
268C2×C4⋊C4—22no—
269C2×C4⋊C4—21no—
270C2×C4⋊C4—22no—
271C2×C4⋊C4—21no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—48no—
274C2×C4⋊C4—48no—
275C2×C4⋊C4—48no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—44no—
278C2×C4⋊C4—44no—
279C2×C4⋊C4—48no—
280C2×C4⋊C4—82no—
281C2×C4⋊C4C22⋊C414yes—
282C2×C4⋊C4C22×C412yes—
283C2×C4⋊C4C22×C414yes—
284C2×C4⋊C4C2×D414yes—
285C2×C4⋊C4C2×D412yes—
286C2×C4⋊C4C2×D412yes—
287C2×C4⋊C4C2×D412yes—
288C2×C4⋊C4#4112yes—
289C2×C22⋊C4—24no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—24no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—44no—
296C2×C22⋊C4—44no—
297C2×C22⋊C4—44no—
298C2×C22⋊C4—44no—
299C2×C22⋊C4—42no—
300C2×C22⋊C4—42no—
301C2×C22⋊C4—82no—
302C2×C22⋊C4—82no—
303C2×C22⋊C4C22⋊C418yes—
304C2×C42—24no—
305C2×C42—44no—
306C2×C42C22×C412yes—
307C2×C42C2×D412yes—
308C2×C42C2×D412yes—
309C2×C42C2×D412yes—
310C2×C42#4112yes—
311C2×C42#4112yes—
312C4⋊C8—44no—
313#102—28no—
314#102—28no—
315#102—48no—
316C22⋊C8—48no—
317C22⋊C8—48no—
318#97—44no—
319#95—28no—
320#95—28no—
321#95—24no—
322#95—24no—
323#95—24no—
324C24—22no—
325C24—22no—
326C24—22no—
327C24—22no—
328C24—22no—
329C24—22no—
330C24—22no—
331C24—22no—
332C24—22no—
333C24—22no—
334C24—22no—
335C24—22no—
336C24—22no—
337C24—22no—
338C24—22no—
339C24—41no—
340C24—41no—
341C24—41no—
342C24—41no—
343C24—42no—
344C24—42no—
345C24—42no—
346C24—42no—
347C24C2×C22⋊C414yes—
348C24AGL(1,ℤ/8)14yes—
349C24#13714yes—
350C24C22×D411yescharacteristic
351C2×D4—28no—
352C2×D4—216no—
353C2×D4—28no—
354C2×D4—216no—
355C2×D4—22no—
356C2×D4—22no—
357C2×D4—22no—
358C2×D4—22no—
359C2×D4—22no—
360C2×D4—22no—
361C2×D4—22no—
362C2×D4—22no—
363C2×D4—22no—
364C2×D4—22no—
365C2×D4—22no—
366C2×D4—22no—
367C2×D4—22no—
368C2×D4—22no—
369C2×D4—22no—
370C2×D4—28no—
371C2×D4—416no—
372C2×D4—416no—
373C2×D4—41no—
374C2×D4—41no—
375C2×D4—41no—
376C2×D4—41no—
377C2×D4—41no—
378C2×D4—41no—
379C2×D4—41no—
380C2×D4—41no—
381C2×D4—41no—
382C2×D4—41no—
383C2×D4—41no—
384C2×D4—41no—
385C2×D4—88no—
386C2×D4—88no—
387C2×D4—88no—
388C2×D4—88no—
389C2×D4—88no—
390C2×D4C4×D414yescomplemented
391C22×C4—22no—
392C22×C4—22no—
393C22×C4—22no—
394C22×C4—22no—
395C22×C4—22no—
396C22×C4—22no—
397C22×C4—22no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—24no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—24no—
408C22×C4—24no—
409C22×C4—24no—
410C22×C4—24no—
411C22×C4—24no—
412C22×C4—24no—
413C22×C4—24no—
414C22×C4—24no—
415C22×C4—24no—
416C22×C4—24no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—24no—
420C22×C4—416no—
421C22×C4—42no—
422C22×C4—42no—
423C22×C4—42no—
424C22×C4—42no—
425C22×C4—42no—
426C22×C4—42no—
427C22×C4—42no—
428C22×C4—42no—
429C22×C4—42no—
430C22×C4—42no—
431C22×C4—42no—
432C22×C4—42no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—42no—
439C22×C4—416no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—42no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—42no—
459C22×C4—42no—
460C22×C4—48no—
461C22×C4—88no—
462C22×C4—88no—
463C22×C4—84no—
464C22×C4—84no—
465C22×C4—88no—
466C22×C4—88no—
467C22×C4—88no—
468C22×C4—88no—
469C22×C4—88no—
470C22×C4C2×C22⋊C414yes—
471C22×C4C2×C22⋊C412yes—
472C22×C4C2×C22⋊C412yes—
473C22×C4#12012yes—
474C22×C4#12012yes—
475C22×C4#12312yes—
476C22×C4#12312yes—
477C22×C4C23×C411yescharacteristic
478C22×C4C22×D411yescharacteristic
479C22×C4C22×D411yescharacteristic
480C22×C4C22×D411yescharacteristic
481C22×C4C22×D411yescharacteristic
482C22×C4C2×#4111yescharacteristic
483C22×C4C2×#4111yescharacteristic
484C22×C4C2×#4111yescharacteristic
485C22×C4C2×#4111yescharacteristic
486C22×C4C2×#4111yescharacteristic
487C22×C4H(5,𝔽2)11yescharacteristic
488C22×C4H(5,𝔽2)11yescharacteristic
489C22×C4H(5,𝔽2)11yescharacteristic
490C22×C42−1+411yescharacteristic
491C2×C8—22no—
492C2×C8—22no—
493C2×C8—22no—
494C2×C8—22no—
495C2×C8—22no—
496C2×C8—22no—
497C2×C8—41no—
498C2×C8—41no—
499C2×C8—41no—
500C2×C8—41no—
501C2×C8—41no—
502C2×C8—41no—
503C2×C8—41no—
504C2×C8—41no—
505C2×C8—42no—
506C2×C8—42no—
507C2×C8—42no—
508C2×C8—42no—
509C2×C8—42no—
510C2×C8—42no—
511C2×C8—42no—
512C4⋊C4—22no—
513C4⋊C4—22no—
514C4⋊C4—22no—
515C4⋊C4—28no—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—24no—
519C4⋊C4—24no—
520C4⋊C4—22no—
521C4⋊C4—22no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—416no—
525C4⋊C4—48no—
526C4⋊C4—42no—
527C4⋊C4—41no—
528C4⋊C4—41no—
529C4⋊C4—42no—
530C4⋊C4—42no—
531C4⋊C4—42no—
532C4⋊C4—41no—
533C4⋊C4—41no—
534C4⋊C4—84no—
535C4⋊C4#12114yes—
536C22⋊C4—216no—
537C22⋊C4—416no—
538C22⋊C4—416no—
539C22⋊C4—48no—
540C22⋊C4—88no—
541C42—48no—
542C42C4×D414yes—
543C42C4×D414yes—
544C42#12114yes—
545C42#12114yes—
546C23—24no—
547C23—24no—
548C23—24no—
549C23—24no—
550C23—24no—
551C23—24no—
552C23—24no—
553C23—24no—
554C23—24no—
555C23—24no—
556C23—24no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—24no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23—42no—
576C23—42no—
577C23—42no—
578C23—42no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—44no—
583C23—44no—
584C23—42no—
585C23—42no—
586C23—42no—
587C23—42no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—42no—
592C23—44no—
593C23—82no—
594C23—82no—
595C23—82no—
596C23—82no—
597C23—81no—
598C23—81no—
599C23—81no—
600C23—81no—
601C23—82no—
602C23—82no—
603C23#41718yes—
604C23C22×C22⋊C411yescharacteristic
605C23C2×#12011yescharacteristic
606C23C2×#12311yescharacteristic
607C23D4211yescharacteristic
608C23#54611yescharacteristic
609C23#54611yescharacteristic
610C23#54711yescharacteristic
611C23C2×AGL(1,ℤ/8)12yes—
612C23C2×#13712yes—
613C23#57612yes—
614C23#57712yes—
615D4—232no—
616D4—24no—
617D4—24no—
618D4—42no—
619D4—42no—
620D4—42no—
621D4—42no—
622D4—42no—
623D4—42no—
624D4—832no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—24no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—44no—
644C2×C4—44no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—816no—
665C2×C4—832no—
666C2×C4—82no—
667C2×C4—82no—
668C2×C4—81no—
669C2×C4—82no—
670C2×C4—82no—
671C2×C4—82no—
672C2×C4—81no—
673C2×C4—82no—
674C2×C4—82no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4—82no—
678C2×C4—82no—
679C2×C4#38614yes—
680C2×C4#38614yes—
681C2×C4C2×C4×D411yescharacteristic
682C2×C4C2×C4×D411yescharacteristic
683C2×C4C2×C4×D411yescharacteristic
684C2×C4C4×#4111yescharacteristic
685C2×C4#51811yescharacteristic
686C2×C4#52011yescharacteristic
687C2×C4C2×#12111yescharacteristic
688C2×C4C2×#12111yescharacteristic
689C2×C4C2×#12111yescharacteristic
690C2×C4#52511yescharacteristic
691C2×C4#52911yescharacteristic
692C2×C4#53211yescharacteristic
693C2×C4#53511yescharacteristic
694C2×C4#53711yescharacteristic
695C2×C4#54011yescharacteristic
696C2×C4#54211yescharacteristic
697C2×C4D4211yescharacteristic
698C2×C4D4211yescharacteristic
699C2×C4#54611yescharacteristic
700C2×C4#54611yescharacteristic
701C2×C4#54611yescharacteristic
702C2×C4#54711yescharacteristic
703C2×C4#54711yescharacteristic
704C2×C4#54811yescharacteristic
705C2×C4#55011yescharacteristic
706C2×C4#55311yescharacteristic
707C2×C4#55311yescharacteristic
708C2×C4#55511yescharacteristic
709C8—42no—
710C8—42no—
711C8—82no—
712C22—28no—
713C22—28no—
714C22—28no—
715C22—44no—
716C22—44no—
717C22—44no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—44no—
722C22—44no—
723C22—44no—
724C22—44no—
725C22—44no—
726C22—44no—
727C22—44no—
728C22—48no—
729C22—82no—
730C22—82no—
731C22—84no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22—84no—
737C22—84no—
738C22C2×#38611yescharacteristic
739C22D4×C22⋊C411yescharacteristic
740C22#233911yescharacteristic
741C22#240711yescharacteristic
742C22#240811yescharacteristic
743C22#242011yescharacteristic
744C22#242211yescharacteristic
745C22C2×#41712yes—
746C22#289712yes—
747C22#300311yescharacteristic
748C22#300411yescharacteristic
749C22#300811yescharacteristic
750C22#301011yescharacteristic
751C22#309212yes—
752C22#309612yes—
753C22#326412yes—
754C22#326612yes—
755C22#330612yes—
756C22#331412yes—
757C22#331812yes—
758C22#332012yes—
759C22#334512yes—
760C22#334612yes—
761C4—24no—
762C4—24no—
763C4—44no—
764C4—44no—
765C4—82no—
766C4—84no—
767C4—82no—
768C4—84no—
769C4C4×#12111yescharacteristic
770C4#232411yescharacteristic
771C4#236111yescharacteristic
772C4#236311yescharacteristic
773C4#242711yescharacteristic
774C4#242811yescharacteristic
775C4#253511yescharacteristic
776C4#253711yescharacteristic
777C2—48no—
778C2—84no—
779C2#1397011yescharacteristic
780C2#2090911yescharacteristic
781C2#2091411yescharacteristic
782C2#2241912yes—
783C2#2249312yes—
784C2#2412811yescharacteristic
785C2#2413011yescharacteristic
786C2#2424811yescharacteristic
787C2#2425111yescharacteristic
788C2#2497712yes—
789C2#2502212yes—
subgroupG/H
center, socleC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC2×#2535C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C22×C4×D4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×D4×C4⋊C4C2semidirect
3. C2×#1955C2semidirect
4. C2×#1874C2semidirect
5. C2×#1802C2semidirect
6. C2×#1762C2semidirect
7. #11200C2semidirect
8. #10969C2semidirect
9. #10850C2semidirect
10. #10843C2semidirect
11. #10730C2semidirect
25. #2535C4semidirect
63. C2×#121C2×C4semidirect
76. C2×C4×D4C2×C4semidirect
111. C2×#102D4semidirect
127. #384D4semidirect
129. #382C2×C4semidirect
133. #380C2×C4semidirect
135. C4×C4⋊C4D4semidirect
390. C2×D4C4×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#25352
C2×D4×C4⋊C42
C2×#19552
C2×#18742
C2×#18022
C2×#17622
#112002
#109692
#108502
#108432
#107302