Finite Group Databasebeta

← #356983

Subgroups — #356983

Order 512.

2194 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2366C211yesmaximal, characteristic
2C2×#1982C211yesmaximal, characteristic
3C2×#1957C211yesmaximal, characteristic
4C2×C8×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×C4×#102C212yesmaximal, complemented
6C4⋊C42C211yesmaximal, characteristic, complemented
7#10931C212yesmaximal, complemented
8#10925C212yesmaximal, complemented
9#10849C211yesmaximal, characteristic, complemented
10#10788C212yesmaximal, complemented
11C4×#340C211yesmaximal, characteristic, complemented
12C22×#127C2211yescharacteristic
13C22×C4×D4—21no—
14C22×C4×D4C2212yes—
15C22×C4⋊C8C2211yescharacteristic
16C22×#102C2212yes—
17C22×#102C2212yes—
18C22×#102C2212yes—
19C22×#102C2212yes—
20C22×C4×C8C2212yes—
21C22×C4×C8C2211yescharacteristic
22#2366—24no—
23#2366C418yescomplemented
24C2×#390—21no—
25C2×#390C2212yes—
26C2×#386—22no—
27C2×#384C2211yescharacteristic
28C2×C4×C4⋊C4—21no—
29C2×C4×C4⋊C4C2212yes—
30C2×C4×C4⋊C4C2211yescharacteristic
31C2×C4×C4⋊C4C2211yescharacteristic
32C2×C4×C4⋊C4C2211yescharacteristic
33#1982C418yescomplemented
34#1957C418yescomplemented
35C8×C4⋊C4—24no—
36C4×#102—28no—
37C2×#340C2211yescharacteristic
38C2×#340C2212yes—
39C2×#340C2211yescharacteristic
40C2×#340C2211yescharacteristic
41C2×#340C2212yes—
42C2×#340C2211yescharacteristic
43C2×#336C2212yes—
44#1436—22no—
45C4⋊#95—21no—
46C4⋊#95C2212yes—
47C23×D4—21no—
48C23×D4—21no—
49C23×D4C2312yes—
50C24×C4—22no—
51C23×C8C2312yes—
52C23×C8C2311yescharacteristic
53C23×C8C2311yescharacteristic
54C2×#127—22no—
55C2×#127—22no—
56C2×#127—22no—
57C2×#127C2×C414yes—
58C2×#127C2×C414yes—
59C2×#127C2×C414yes—
60C2×C4×D4—28no—
61C2×C4×D4—24no—
62C2×C4×D4—24no—
63C2×C4×D4—24no—
64C2×C4×D4—42no—
65C2×C4×D4—42no—
66C2×C4×D4—44no—
67C2×C4×D4—44no—
68C2×C4×D4C2×C418yes—
69C22×C4⋊C4—21no—
70C22×C4⋊C4—21no—
71C22×C4⋊C4D411yescharacteristic
72C22×C4⋊C4D411yescharacteristic
73C22×C4⋊C4C2311yescharacteristic
74C22×C4⋊C4C2312yes—
75C22×C4⋊C4C2311yescharacteristic
76C22×C4⋊C4C2311yescharacteristic
77C22×C4⋊C4C2311yescharacteristic
78C22×C22⋊C4—22no—
79C22×C22⋊C4—22no—
80C22×C22⋊C4—22no—
81C22×C42—21no—
82C22×C42—21no—
83C22×C42—22no—
84C22×C42C2312yes—
85C22×C42C2311yescharacteristic
86C2×C4⋊C8—22no—
87C2×C4⋊C8—22no—
88C2×C4⋊C8C2×C414yescomplemented
89C2×#102—24no—
90C2×#102—24no—
91C2×#102—24no—
92C2×#102—24no—
93C2×#102—42no—
94C2×#102—42no—
95C2×#102—42no—
96C2×#102—42no—
97C2×#102C2×C418yescomplemented
98C2×#102C2×C418yescomplemented
99C2×#102C2×C418yescomplemented
100C2×#102C2×C418yescomplemented
101C2×C4×C8—22no—
102C2×C4×C8—22no—
103C2×C4×C8—24no—
104C2×C4×C8—24no—
105C2×C4×C8—42no—
106C2×C4×C8C2×C414yescomplemented
107#390—28no—
108#390—24no—
109#390C2×C418yes—
110#386—216no—
111#384—22no—
112#384C2×C414yescomplemented
113C4×C4⋊C4—22no—
114C4×C4⋊C4—22no—
115C4×C4⋊C4—24no—
116C4×C4⋊C4—42no—
117C4×C4⋊C4—44no—
118C4×C4⋊C4C2×C414yes—
119C4×C4⋊C4C2×C414yes—
120C4×C4⋊C4C2×C414yescomplemented
121C4×C4⋊C4D414yes—
122C2×#95—21no—
123C2×#95—21no—
124C2×#95—22no—
125C2×#95—22no—
126C2×#95—22no—
127C2×#95D412yes—
128#340—22no—
129#340—24no—
130#340—22no—
131#340—22no—
132#340—42no—
133#340D414yescomplemented
134#336—24no—
135C25—22no—
136C22×D4—24no—
137C22×D4—24no—
138C22×D4—24no—
139C22×D4—24no—
140C22×D4—24no—
141C22×D4—24no—
142C22×D4—22no—
143C22×D4—22no—
144C22×D4—22no—
145C22×D4—22no—
146C22×D4—22no—
147C22×D4—22no—
148C22×D4—22no—
149C22×D4—22no—
150C22×D4—22no—
151C22×D4—22no—
152C22×D4—22no—
153C22×D4—42no—
154C22×D4—42no—
155C22×D4—42no—
156C22×D4—42no—
157C22×D4—81no—
158C22×D4—81no—
159C22×D4—81no—
160C22×D4—81no—
161C22×D4C22×C414yes—
162C22×D4C22×C414yes—
163C22×D4C22×C414yes—
164C23×C4—21no—
165C23×C4—21no—
166C23×C4—21no—
167C23×C4—22no—
168C23×C4—21no—
169C23×C4—28no—
170C23×C4—44no—
171C23×C4—44no—
172C23×C4—44no—
173C23×C4—44no—
174C23×C4—82no—
175C23×C4—82no—
176C23×C4C2×D412yes—
177C23×C4C2×D411yescharacteristic
178C23×C4C2×D412yes—
179C23×C4C2×D411yescharacteristic
180C23×C4C2411yescharacteristic
181C22×C8—21no—
182C22×C8—21no—
183C22×C8—21no—
184C22×C8—21no—
185C22×C8—21no—
186C22×C8—22no—
187C22×C8—22no—
188C22×C8—21no—
189C22×C8—21no—
190C22×C8—21no—
191C22×C8—22no—
192C22×C8—22no—
193C22×C8—22no—
194C22×C8—22no—
195C22×C8—21no—
196C22×C8—21no—
197C22×C8C22×C412yes—
198C22×C8C22×C414yes—
199C22×C8C22×C412yes—
200C22×C8C2×D412yes—
201C22×C8#4112yes—
202#127—28no—
203#127—28no—
204#127—28no—
205#127C42116yescomplemented
206C4×D4—216no—
207C4×D4—48no—
208C4×D4—48no—
209C4×D4—48no—
210C4×D4—432no—
211C2×C4⋊C4—22no—
212C2×C4⋊C4—22no—
213C2×C4⋊C4—21no—
214C2×C4⋊C4—21no—
215C2×C4⋊C4—21no—
216C2×C4⋊C4—21no—
217C2×C4⋊C4—21no—
218C2×C4⋊C4—21no—
219C2×C4⋊C4—22no—
220C2×C4⋊C4—21no—
221C2×C4⋊C4—21no—
222C2×C4⋊C4—21no—
223C2×C4⋊C4—21no—
224C2×C4⋊C4—22no—
225C2×C4⋊C4—21no—
226C2×C4⋊C4—22no—
227C2×C4⋊C4—22no—
228C2×C4⋊C4—21no—
229C2×C4⋊C4—21no—
230C2×C4⋊C4—21no—
231C2×C4⋊C4—24no—
232C2×C4⋊C4—21no—
233C2×C4⋊C4—21no—
234C2×C4⋊C4—22no—
235C2×C4⋊C4—24no—
236C2×C4⋊C4—42no—
237C2×C4⋊C4—42no—
238C2×C4⋊C4—81no—
239C2×C4⋊C4—81no—
240C2×C4⋊C4C22⋊C414yes—
241C2×C4⋊C4C22⋊C414yes—
242C2×C4⋊C4D814yes—
243C2×C4⋊C4SD1614yes—
244C2×C4⋊C4C22×C412yes—
245C2×C4⋊C4C22×C412yes—
246C2×C4⋊C4C22×C414yes—
247C2×C4⋊C4C22×C412yes—
248C2×C4⋊C4C22×C412yes—
249C2×C4⋊C4C2×D412yes—
250C2×C4⋊C4C2×D412yes—
251C2×C4⋊C4#4112yes—
252C2×C4⋊C4#4112yes—
253C2×C22⋊C4—28no—
254C2×C22⋊C4—28no—
255C2×C22⋊C4—28no—
256C2×C22⋊C4—44no—
257C2×C22⋊C4—44no—
258C2×C22⋊C4—44no—
259C2×C22⋊C4—44no—
260C2×C22⋊C4—82no—
261C2×C22⋊C4—82no—
262C2×C42—22no—
263C2×C42—22no—
264C2×C42—22no—
265C2×C42—22no—
266C2×C42—24no—
267C2×C42—24no—
268C2×C42—42no—
269C2×C42—42no—
270C2×C42—42no—
271C2×C42—42no—
272C2×C42—44no—
273C2×C42—44no—
274C2×C42—82no—
275C2×C42C22×C414yes—
276C2×C42C22×C412yes—
277C2×C42C22×C412yes—
278C2×C42C22×C412yes—
279C2×C42C2×D414yes—
280C2×C42C2×D412yes—
281C2×C42#4112yes—
282C2×C42#4112yes—
283C4⋊C8—28no—
284#102—216no—
285#102—216no—
286#102—48no—
287#102—48no—
288C4×C8—28no—
289C4×C8—48no—
290#95—24no—
291#95—24no—
292#95—44no—
293#95—44no—
294#95—82no—
295#95C22⋊C418yes—
296C24—24no—
297C24—24no—
298C24—24no—
299C24—42no—
300C24—42no—
301C24—42no—
302C24—42no—
303C24—42no—
304C24—42no—
305C24—42no—
306C24—42no—
307C24—42no—
308C24—42no—
309C24—42no—
310C24—42no—
311C24C22×D411yescharacteristic
312C2×D4—24no—
313C2×D4—24no—
314C2×D4—24no—
315C2×D4—24no—
316C2×D4—24no—
317C2×D4—24no—
318C2×D4—24no—
319C2×D4—24no—
320C2×D4—24no—
321C2×D4—24no—
322C2×D4—24no—
323C2×D4—24no—
324C2×D4—24no—
325C2×D4—24no—
326C2×D4—24no—
327C2×D4—216no—
328C2×D4—216no—
329C2×D4—42no—
330C2×D4—42no—
331C2×D4—42no—
332C2×D4—42no—
333C2×D4—42no—
334C2×D4—42no—
335C2×D4—42no—
336C2×D4—42no—
337C2×D4—42no—
338C2×D4—42no—
339C2×D4—42no—
340C2×D4—42no—
341C2×D4—48no—
342C2×D4—48no—
343C2×D4—48no—
344C2×D4—48no—
345C2×D4—48no—
346C2×D4—48no—
347C2×D4—84no—
348C2×D4—84no—
349C2×D4—84no—
350C2×D4—84no—
351C2×D4—84no—
352C2×D4—84no—
353C2×D4C2×C4218yes—
354C22×C4—22no—
355C22×C4—22no—
356C22×C4—22no—
357C22×C4—21no—
358C22×C4—21no—
359C22×C4—22no—
360C22×C4—21no—
361C22×C4—21no—
362C22×C4—22no—
363C22×C4—22no—
364C22×C4—22no—
365C22×C4—22no—
366C22×C4—22no—
367C22×C4—22no—
368C22×C4—22no—
369C22×C4—22no—
370C22×C4—22no—
371C22×C4—22no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—22no—
375C22×C4—22no—
376C22×C4—24no—
377C22×C4—416no—
378C22×C4—41no—
379C22×C4—41no—
380C22×C4—41no—
381C22×C4—41no—
382C22×C4—41no—
383C22×C4—41no—
384C22×C4—41no—
385C22×C4—41no—
386C22×C4—42no—
387C22×C4—41no—
388C22×C4—41no—
389C22×C4—41no—
390C22×C4—41no—
391C22×C4—42no—
392C22×C4—41no—
393C22×C4—42no—
394C22×C4—41no—
395C22×C4—41no—
396C22×C4—41no—
397C22×C4—42no—
398C22×C4—41no—
399C22×C4—42no—
400C22×C4—42no—
401C22×C4—41no—
402C22×C4—41no—
403C22×C4—41no—
404C22×C4—416no—
405C22×C4—88no—
406C22×C4—88no—
407C22×C4—88no—
408C22×C4—88no—
409C22×C4—88no—
410C22×C4C2×C22⋊C414yes—
411C22×C4C2×C22⋊C412yes—
412C22×C4C2×C22⋊C414yes—
413C22×C4C2×C22⋊C412yes—
414C22×C4C4×D412yes—
415C22×C4C4×D412yes—
416C22×C4C4×D412yes—
417C22×C4C4×D412yes—
418C22×C4C2×D814yes—
419C22×C4C2×D812yes—
420C22×C4C2×SD1614yes—
421C22×C4C2×SD1612yes—
422C22×C4#13512yes—
423C22×C4#13512yes—
424C22×C4C23×C411yescharacteristic
425C22×C4C23×C411yescharacteristic
426C22×C4C23×C411yescharacteristic
427C22×C4C22×D411yescharacteristic
428C22×C4C22×D411yescharacteristic
429C22×C4C2×#4111yescharacteristic
430C22×C4C2×#4111yescharacteristic
431C22×C4C2×#4111yescharacteristic
432C22×C4C2×#4111yescharacteristic
433C22×C4C2×#4111yescharacteristic
434C22×C4H(5,𝔽2)11yescharacteristic
435C22×C4H(5,𝔽2)11yescharacteristic
436C22×C4H(5,𝔽2)11yescharacteristic
437C22×C42−1+411yescharacteristic
438C2×C8—22no—
439C2×C8—22no—
440C2×C8—22no—
441C2×C8—22no—
442C2×C8—22no—
443C2×C8—22no—
444C2×C8—22no—
445C2×C8—24no—
446C2×C8—24no—
447C2×C8—22no—
448C2×C8—22no—
449C2×C8—24no—
450C2×C8—42no—
451C2×C8—41no—
452C2×C8—41no—
453C2×C8—42no—
454C2×C8—42no—
455C2×C8—41no—
456C2×C8—41no—
457C2×C8—42no—
458C2×C8C4×D414yescomplemented
459C4⋊C4—22no—
460C4⋊C4—22no—
461C4⋊C4—22no—
462C4⋊C4—22no—
463C4⋊C4—22no—
464C4⋊C4—22no—
465C4⋊C4—28no—
466C4⋊C4—24no—
467C4⋊C4—22no—
468C4⋊C4—22no—
469C4⋊C4—22no—
470C4⋊C4—24no—
471C4⋊C4—22no—
472C4⋊C4—41no—
473C4⋊C4—41no—
474C4⋊C4—42no—
475C4⋊C4—41no—
476C4⋊C4—41no—
477C4⋊C4—42no—
478C4⋊C4—48no—
479C4⋊C4—84no—
480C4⋊C4#102116yescomplemented
481C4⋊C4C4×D414yes—
482C4⋊C4C4×D414yescomplemented
483C22⋊C4—416no—
484C22⋊C4—416no—
485C22⋊C4—88no—
486C42—24no—
487C42—24no—
488C42—24no—
489C42—24no—
490C42—48no—
491C42—48no—
492C42—88no—
493C42C2×C4214yes—
494C42#11714yes—
495C42C4×D414yes—
496C42C4×D414yes—
497C23—28no—
498C23—44no—
499C23—44no—
500C23—44no—
501C23—44no—
502C23—44no—
503C23—44no—
504C23—44no—
505C23—44no—
506C23—44no—
507C23—44no—
508C23—44no—
509C23—44no—
510C23—44no—
511C23—44no—
512C23—44no—
513C23—44no—
514C23—44no—
515C23—44no—
516C23—82no—
517C23—82no—
518C23—82no—
519C23—82no—
520C23—82no—
521C23—82no—
522C23—82no—
523C23—82no—
524C23—82no—
525C23—82no—
526C23—82no—
527C23—82no—
528C23—82no—
529C23—82no—
530C23—82no—
531C23—82no—
532C23C22×C22⋊C411yescharacteristic
533C23C2×C4×D411yescharacteristic
534C23C2×C4×D411yescharacteristic
535C23D4211yescharacteristic
536C23#54611yescharacteristic
537C23#54811yescharacteristic
538C23#55011yescharacteristic
539C23C22×D811yescharacteristic
540C23C22×SD1611yescharacteristic
541C23C2×#13511yescharacteristic
542C23C2×#13511yescharacteristic
543C23#57611yescharacteristic
544C23#57611yescharacteristic
545C23#57711yescharacteristic
546C23#57711yescharacteristic
547D4—28no—
548D4—28no—
549D4—44no—
550D4—44no—
551D4—44no—
552D4—44no—
553D4—44no—
554D4—44no—
555D4—432no—
556D4—816no—
557C2×C4—24no—
558C2×C4—24no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—24no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—44no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—44no—
597C2×C4—42no—
598C2×C4—44no—
599C2×C4—832no—
600C2×C4—81no—
601C2×C4—81no—
602C2×C4—81no—
603C2×C4—81no—
604C2×C4—82no—
605C2×C4—81no—
606C2×C4—81no—
607C2×C4—82no—
608C2×C4—82no—
609C2×C4—82no—
610C2×C4—81no—
611C2×C4—81no—
612C2×C4C4×C22⋊C414yes—
613C2×C4C4×C22⋊C414yes—
614C2×C4C2×#10218yes—
615C2×C4C2×#10214yes—
616C2×C4#41614yes—
617C2×C4C4×D814yes—
618C2×C4C4×D814yes—
619C2×C4C4×SD1614yes—
620C2×C4C4×SD1614yes—
621C2×C4C22×C4211yescharacteristic
622C2×C4C2×#11711yescharacteristic
623C2×C4C2×C4×D411yescharacteristic
624C2×C4C2×C4×D411yescharacteristic
625C2×C4C2×C4×D411yescharacteristic
626C2×C4C2×C4×D411yescharacteristic
627C2×C4C2×C4×D411yescharacteristic
628C2×C4C4×#4111yescharacteristic
629C2×C4C4×#4111yescharacteristic
630C2×C4C4×#4111yescharacteristic
631C2×C4#51811yescharacteristic
632C2×C4#51811yescharacteristic
633C2×C4#51811yescharacteristic
634C2×C4#52011yescharacteristic
635C2×C4#52011yescharacteristic
636C2×C4#52011yescharacteristic
637C2×C4D4211yescharacteristic
638C2×C4#54611yescharacteristic
639C2×C4#54711yescharacteristic
640C2×C4#54811yescharacteristic
641C2×C4#55011yescharacteristic
642C2×C4#55011yescharacteristic
643C2×C4#55311yescharacteristic
644C2×C4#55311yescharacteristic
645C2×C4#55511yescharacteristic
646C2×C4#55611yescharacteristic
647C2×C4#55911yescharacteristic
648C2×C4#55911yescharacteristic
649C8—24no—
650C8—42no—
651C8—44no—
652C22—48no—
653C22—48no—
654C22—48no—
655C22—84no—
656C22—84no—
657C22—84no—
658C22—84no—
659C22—84no—
660C22—84no—
661C22—84no—
662C22—84no—
663C22—84no—
664C22—84no—
665C22—84no—
666C22—84no—
667C22C2×C4×C22⋊C411yescharacteristic
668C22D4×C22⋊C411yescharacteristic
669C22#234111yescharacteristic
670C22#236111yescharacteristic
671C22#236311yescharacteristic
672C22#236611yescharacteristic
673C22#236711yescharacteristic
674C22C22×#10211yescharacteristic
675C22C2×#41611yescharacteristic
676C22#289711yescharacteristic
677C22#289711yescharacteristic
678C22C2×C4×D811yescharacteristic
679C22C2×C4×D811yescharacteristic
680C22C2×C4×SD1611yescharacteristic
681C22C2×C4×SD1611yescharacteristic
682C22#294611yescharacteristic
683C22#294611yescharacteristic
684C22#294811yescharacteristic
685C22#294911yescharacteristic
686C22D4×D811yescharacteristic
687C22D4×SD1611yescharacteristic
688C22#328411yescharacteristic
689C22#328711yescharacteristic
690C22#329411yescharacteristic
691C22#329511yescharacteristic
692C22#330411yescharacteristic
693C22#330511yescharacteristic
694C22#335811yescharacteristic
695C22#336111yescharacteristic
696C22#336211yescharacteristic
697C22#336511yescharacteristic
698C22#339111yescharacteristic
699C22#339211yescharacteristic
700C22#339411yescharacteristic
701C22#339611yescharacteristic
702C4—28no—
703C4—24no—
704C4—44no—
705C4—44no—
706C4—44no—
707C4—82no—
708C4—82no—
709C4—84no—
710C4C4×#10218yescomplemented
711C4C42×D411yescharacteristic
712C4#227511yescharacteristic
713C4#235411yescharacteristic
714C4#235711yescharacteristic
715C4#236111yescharacteristic
716C4#236311yescharacteristic
717C4#236611yescharacteristic
718C4#236711yescharacteristic
719C2—88no—
720C2#1382011yescharacteristic
721C2C2×C4×#10211yescharacteristic
722C2#2041611yescharacteristic
723C2D4×#10211yescharacteristic
724C2#2241811yescharacteristic
725C2#2254011yescharacteristic
726C2#2254311yescharacteristic
727C2#2299511yescharacteristic
728C2#2299711yescharacteristic
729C2#2309311yescharacteristic
730C2#2309511yescharacteristic
731C2#2318211yescharacteristic
732C2#2318511yescharacteristic
733C2#2321511yescharacteristic
734C2#2321611yescharacteristic
subgroupG/H
center, socleC24C22×D4
commutatorC2×C4C22×C42
Frattini, cosocleC23×C4C24
prime radicalC22×#127C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C2×C8×C4⋊C4C2semidirect
5. C2×C4×#102C2semidirect
6. C4⋊C42C2semidirect
7. #10931C2semidirect
8. #10925C2semidirect
9. #10849C2semidirect
10. #10788C2semidirect
11. C4×#340C2semidirect
23. #2366C4semidirect
33. #1982C4semidirect
34. #1957C4semidirect
88. C2×C4⋊C8C2×C4semidirect
97. C2×#102C2×C4semidirect
98. C2×#102C2×C4semidirect
99. C2×#102C2×C4semidirect
100. C2×#102C2×C4semidirect
106. C2×C4×C8C2×C4semidirect
112. #384C2×C4semidirect
120. C4×C4⋊C4C2×C4semidirect
133. #340D4semidirect
205. #127C42semidirect
458. C2×C8C4×D4semidirect
480. C4⋊C4#102semidirect
482. C4⋊C4C4×D4semidirect
710. C4C4×#102semidirect

Maximal subgroups

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

subgroupindex
C2×#23662
C2×#19822
C2×#19572
C2×C8×C4⋊C42
C2×C4×#1022
C4⋊C422
#109312
#109252
#108492
#107882
C4×#3402