Finite Group Databasebeta

← #612648

Subgroups — #612648

Order 512.

5532 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2847C211yesmaximal, characteristic
2C2×#2501C211yesmaximal, characteristic, complemented
3C2×#2412C214yesmaximal, complemented
4C22×#380C211yesmaximal, characteristic, complemented
5C22×C4×C22⋊C4C211yesmaximal, characteristic, complemented
6#15150C212yesmaximal, complemented
7#15130C212yesmaximal, complemented
8#14839C214yesmaximal, complemented
9#14836C214yesmaximal, complemented
10#14698C212yesmaximal, complemented
11#14686C212yesmaximal, complemented
12#14137C211yesmaximal, characteristic, complemented
13#13996C214yesmaximal, complemented
14#13904C211yesmaximal, characteristic, complemented
15#13880C211yesmaximal, characteristic, complemented
16C25×C4C2211yescharacteristic
17C22×#123C2214yes—
18C22×#121C2211yescharacteristic
19C22×#121C2211yescharacteristic
20C22×#121C2211yescharacteristic
21C22×#120C2212yes—
22C23×C4⋊C4C2211yescharacteristic
23C23×C4⋊C4C2211yescharacteristic
24C23×C22⋊C4C2212yes—
25C23×C22⋊C4C2212yes—
26C23×C42C2212yes—
27#2847—28no—
28#2501—28no—
29#2412—232no—
30C2×#399C2214yescomplemented
31C2×#397C2218yes—
32C2×#394C2218yes—
33C2×#390C2212yescomplemented
34C2×#390C2212yescomplemented
35C2×#386C2212yes—
36C2×#386C2212yes—
37C2×#386C2212yes—
38C2×#386C2214yes—
39C2×#386C2218yes—
40C2×#385C2214yes—
41C2×#384C2212yescomplemented
42C2×#384C2212yescomplemented
43C2×#381C2214yes—
44C2×#380—28no—
45C2×#380C2211yescharacteristic
46C2×#380C2211yescharacteristic
47C2×#380C2211yescharacteristic
48C2×#380C2212yes—
49C2×#380C2218yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×C4×C22⋊C4—28no—
54C2×C4×C22⋊C4C2212yes—
55C2×C4×C22⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4C2212yes—
57C2×C4×C22⋊C4C2212yes—
58C2×C4×C22⋊C4C2211yescharacteristic
59C22×#95C2212yes—
60C22×#95C2212yes—
61#1445C2218yescomplemented
62#1445C2214yescomplemented
63#1444C2214yescomplemented
64#1439C2218yescomplemented
65#1439C2214yescomplemented
66#1437C2218yescomplemented
67C4⋊#95C2212yescomplemented
68C4⋊#95C2212yescomplemented
69C4⋊#95C2212yescomplemented
70C4⋊#95C2212yescomplemented
71C4⋊#95C2218yescomplemented
72C26C2311yescharacteristic
73C23×D4C2312yes—
74C23×D4C2312yes—
75C23×D4C2311yescharacteristic
76C23×D4C2312yes—
77C24×C4—24no—
78C24×C4—24no—
79C24×C4—28no—
80C24×C4—44no—
81C24×C4D418yes—
82C24×C4C2312yes—
83C24×C4C2311yescharacteristic
84C24×C4C2311yescharacteristic
85C24×C4C2311yescharacteristic
86C24×C4C2311yescharacteristic
87C24×C4C2314yes—
88C24×C4C2311yescharacteristic
89C24×C4C2311yescharacteristic
90C24×C4C2312yes—
91C2×#123—216no—
92C2×#123—216no—
93C2×#123—216no—
94C2×#121—24no—
95C2×#121—24no—
96C2×#121—24no—
97C2×#121—24no—
98C2×#121—24no—
99C2×#121—28no—
100C2×#121—44no—
101C2×#120—28no—
102C2×#120—216no—
103C22×C4⋊C4—24no—
104C22×C4⋊C4—24no—
105C22×C4⋊C4—24no—
106C22×C4⋊C4—24no—
107C22×C4⋊C4—44no—
108C22×C4⋊C4C2318yes—
109C22×C4⋊C4C2312yes—
110C22×C4⋊C4C2312yes—
111C22×C4⋊C4C2312yes—
112C22×C4⋊C4C2311yescharacteristic
113C22×C4⋊C4C2311yescharacteristic
114C22×C4⋊C4C2311yescharacteristic
115C22×C4⋊C4C2318yes—
116C22×C4⋊C4C2312yes—
117C22×C22⋊C4—28no—
118C22×C22⋊C4—28no—
119C22×C22⋊C4—216no—
120C22×C22⋊C4—28no—
121C22×C22⋊C4D4116yescomplemented
122C22×C22⋊C4C2314yes—
123C22×C22⋊C4C2318yes—
124C22×C22⋊C4C2312yes—
125C22×C22⋊C4C2312yes—
126C22×C22⋊C4C2314yes—
127C22×C22⋊C4C2312yes—
128C22×C22⋊C4C2312yes—
129C22×C22⋊C4C2312yes—
130C22×C22⋊C4C2314yes—
131C22×C22⋊C4C2312yes—
132C22×C22⋊C4C2318yes—
133C22×C22⋊C4C2312yes—
134C22×C22⋊C4C2312yes—
135C22×C42—28no—
136C22×C42—28no—
137C22×C42—44no—
138C22×C42C2312yes—
139C22×C42C2314yes—
140C22×C42C2312yes—
141#399—216no—
142#397—232no—
143#394—232no—
144#390—28no—
145#390—44no—
146#386—28no—
147#386—28no—
148#386—28no—
149#386—232no—
150#386—216no—
151#385—216no—
152#384—28no—
153#384—44no—
154#381—216no—
155#380—24no—
156#380—24no—
157#380—24no—
158#380—232no—
159#380—28no—
160#380—28no—
161#380—28no—
162#380—28no—
163C4×C22⋊C4—24no—
164C4×C22⋊C4—28no—
165C4×C22⋊C4—28no—
166C4×C22⋊C4—28no—
167C4×C22⋊C4D418yescomplemented
168C2×#95—28no—
169C2×#95—28no—
170C2×#95C2318yes—
171C2×#95C2318yes—
172C2×#95C2318yes—
173C2×#95C2318yes—
174C2×#95C2312yes—
175C2×#95C2314yes—
176C2×#95C2312yes—
177C2×#95C2314yes—
178C2×#95C2314yes—
179C2×#95C2312yes—
180C2×#95C2312yes—
181C2×#95C2312yes—
182C25—22no—
183C25—24no—
184C25—22no—
185C25—24no—
186C25—24no—
187C25—42no—
188C25—42no—
189C25C2×D418yes—
190C25C2×D414yes—
191C25C2412yes—
192C25C2411yescharacteristic
193C25C2411yescharacteristic
194C25C2411yescharacteristic
195C22×D4—24no—
196C22×D4—24no—
197C22×D4—24no—
198C22×D4—28no—
199C22×D4—28no—
200C22×D4—24no—
201C22×D4—24no—
202C22×D4—28no—
203C22×D4—28no—
204C22×D4—28no—
205C22×D4—28no—
206C22×D4—22no—
207C22×D4—22no—
208C22×D4—22no—
209C22×D4—24no—
210C22×D4—24no—
211C22×D4—44no—
212C22×D4—44no—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—24no—
216C23×C4—24no—
217C23×C4—24no—
218C23×C4—22no—
219C23×C4—22no—
220C23×C4—24no—
221C23×C4—28no—
222C23×C4—28no—
223C23×C4—232no—
224C23×C4—232no—
225C23×C4—28no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—28no—
230C23×C4—22no—
231C23×C4—24no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—24no—
237C23×C4—24no—
238C23×C4—24no—
239C23×C4—28no—
240C23×C4—24no—
241C23×C4—24no—
242C23×C4—28no—
243C23×C4—28no—
244C23×C4—416no—
245C23×C4—42no—
246C23×C4—42no—
247C23×C4—42no—
248C23×C4—44no—
249C23×C4—44no—
250C23×C4—432no—
251C23×C4—432no—
252C23×C4—44no—
253C23×C4—44no—
254C23×C4C2×D414yes—
255C23×C4C2×D4116yes—
256C23×C4C2×D414yes—
257C23×C4C2×D414yes—
258C23×C4C2×D414yes—
259C23×C4C2×D414yes—
260C23×C4C2×D414yes—
261C23×C4C2×D414yes—
262C23×C4#4114yes—
263C23×C4#4118yes—
264C23×C4C2414yes—
265C23×C4C2414yes—
266C23×C4C2412yes—
267C23×C4C2412yes—
268C23×C4C2412yes—
269C23×C4C2414yes—
270C23×C4C2411yescharacteristic
271C23×C4C2414yes—
272C23×C4C2411yescharacteristic
273C23×C4C2411yescharacteristic
274C23×C4C2411yescharacteristic
275#123—464no—
276#121—416no—
277#121—416no—
278#121—416no—
279#120—432no—
280C2×C4⋊C4—24no—
281C2×C4⋊C4—24no—
282C2×C4⋊C4—24no—
283C2×C4⋊C4—24no—
284C2×C4⋊C4—24no—
285C2×C4⋊C4—24no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—22no—
289C2×C4⋊C4—22no—
290C2×C4⋊C4—216no—
291C2×C4⋊C4—216no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—22no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—216no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—24no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—216no—
301C2×C4⋊C4—44no—
302C2×C4⋊C4—416no—
303C2×C4⋊C4—416no—
304C2×C4⋊C4—48no—
305C2×C4⋊C4—48no—
306C2×C22⋊C4—24no—
307C2×C22⋊C4—24no—
308C2×C22⋊C4—28no—
309C2×C22⋊C4—28no—
310C2×C22⋊C4—264no—
311C2×C22⋊C4—28no—
312C2×C22⋊C4—28no—
313C2×C22⋊C4—216no—
314C2×C22⋊C4—216no—
315C2×C22⋊C4—28no—
316C2×C22⋊C4—24no—
317C2×C22⋊C4—24no—
318C2×C22⋊C4—24no—
319C2×C22⋊C4—28no—
320C2×C22⋊C4—28no—
321C2×C22⋊C4—24no—
322C2×C22⋊C4—24no—
323C2×C22⋊C4—24no—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—216no—
326C2×C22⋊C4—216no—
327C2×C22⋊C4—24no—
328C2×C22⋊C4—28no—
329C2×C22⋊C4—216no—
330C2×C22⋊C4—216no—
331C2×C22⋊C4—44no—
332C2×C22⋊C4—432no—
333C2×C22⋊C4—48no—
334C2×C22⋊C4—48no—
335C2×C22⋊C4C2×D418yes—
336C2×C22⋊C4C2×D4116yes—
337C2×C22⋊C4C2×D418yes—
338C2×C22⋊C4C2×D418yes—
339C2×C22⋊C4#4118yes—
340C2×C42—24no—
341C2×C42—24no—
342C2×C42—28no—
343C2×C42—24no—
344C2×C42—28no—
345C2×C42—24no—
346C2×C42—24no—
347C2×C42—432no—
348C2×C42—44no—
349C2×C42C2×D418yes—
350#95—28no—
351#95—24no—
352#95—28no—
353#95—28no—
354#95—216no—
355#95—24no—
356#95—24no—
357#95—24no—
358#95—216no—
359#95—216no—
360#95—216no—
361#95C2×D418yes—
362C24—21no—
363C24—21no—
364C24—22no—
365C24—22no—
366C24—22no—
367C24—22no—
368C24—22no—
369C24—22no—
370C24—22no—
371C24—216no—
372C24—28no—
373C24—28no—
374C24—28no—
375C24—216no—
376C24—28no—
377C24—232no—
378C24—21no—
379C24—22no—
380C24—21no—
381C24—22no—
382C24—22no—
383C24—22no—
384C24—22no—
385C24—22no—
386C24—24no—
387C24—22no—
388C24—24no—
389C24—22no—
390C24—24no—
391C24—24no—
392C24—24no—
393C24—24no—
394C24—44no—
395C24—44no—
396C24—416no—
397C24—48no—
398C24—48no—
399C24—416no—
400C24—48no—
401C24—48no—
402C24—416no—
403C24#127116yes—
404C24C22×D414yes—
405C24C22×D412yes—
406C24C22×D412yes—
407C24C22×D414yes—
408C24C22×D412yes—
409C24C22×D412yes—
410C24C22×D414yes—
411C24C2×#4114yes—
412C24C2×#4112yes—
413C24C2×#4114yes—
414C242−1+414yes—
415C24C2511yescharacteristic
416C2×D4—48no—
417C2×D4—48no—
418C2×D4—48no—
419C2×D4—416no—
420C2×D4—48no—
421C2×D4—48no—
422C2×D4—48no—
423C2×D4—48no—
424C2×D4—48no—
425C2×D4—416no—
426C2×D4—48no—
427C2×D4—432no—
428C2×D4—44no—
429C2×D4—44no—
430C2×D4—44no—
431C2×D4—48no—
432C2×D4—48no—
433C2×D4—816no—
434C22×C4—21no—
435C22×C4—24no—
436C22×C4—21no—
437C22×C4—22no—
438C22×C4—24no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—24no—
442C22×C4—24no—
443C22×C4—28no—
444C22×C4—28no—
445C22×C4—28no—
446C22×C4—28no—
447C22×C4—216no—
448C22×C4—216no—
449C22×C4—216no—
450C22×C4—216no—
451C22×C4—28no—
452C22×C4—28no—
453C22×C4—232no—
454C22×C4—21no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—21no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—232no—
465C22×C4—28no—
466C22×C4—28no—
467C22×C4—28no—
468C22×C4—28no—
469C22×C4—28no—
470C22×C4—28no—
471C22×C4—28no—
472C22×C4—24no—
473C22×C4—28no—
474C22×C4—28no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—28no—
485C22×C4—22no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—28no—
494C22×C4—24no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—416no—
499C22×C4—48no—
500C22×C4—48no—
501C22×C4—4128no—
502C22×C4—416no—
503C22×C4—416no—
504C22×C4—416no—
505C22×C4—416no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—48no—
512C22×C4—48no—
513C22×C4—48no—
514C22×C4—48no—
515C22×C4—416no—
516C22×C4—48no—
517C22×C4—48no—
518C22×C4—48no—
519C22×C4—416no—
520C22×C4—816no—
521C22×C4#121116yes—
522C22×C4#123116yescomplemented
523C22×C4C22×D418yes—
524C22×C4C22×D412yes—
525C22×C4C22×D412yes—
526C22×C4C22×D418yes—
527C22×C4C22×D412yes—
528C22×C4C22×D418yes—
529C22×C4C22×D412yes—
530C22×C4C22×D412yes—
531C22×C4C22×D412yes—
532C22×C4C2×#4118yes—
533C22×C4C2×#4112yes—
534C22×C4C2×#4114yes—
535C22×C4C2×#4112yes—
536C22×C4C2×#4114yes—
537C22×C4H(5,𝔽2)14yes—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—44no—
542C4⋊C4—432no—
543C4⋊C4—44no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—816no—
547C22⋊C4—216no—
548C22⋊C4—232no—
549C22⋊C4—48no—
550C22⋊C4—416no—
551C22⋊C4—416no—
552C22⋊C4—48no—
553C22⋊C4—48no—
554C22⋊C4—48no—
555C22⋊C4—48no—
556C22⋊C4—432no—
557C22⋊C4—48no—
558C22⋊C4—816no—
559C22⋊C4#121132yescomplemented
560C42—216no—
561C42—416no—
562C42—48no—
563C23—24no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—24no—
574C23—24no—
575C23—28no—
576C23—24no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—24no—
581C23—24no—
582C23—24no—
583C23—24no—
584C23—28no—
585C23—28no—
586C23—28no—
587C23—28no—
588C23—232no—
589C23—24no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—24no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—28no—
598C23—28no—
599C23—232no—
600C23—416no—
601C23—416no—
602C23—416no—
603C23—464no—
604C23—464no—
605C23—416no—
606C23—416no—
607C23—42no—
608C23—42no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—48no—
624C23—44no—
625C23—48no—
626C23—44no—
627C23—44no—
628C23—48no—
629C23—48no—
630C23C2×#12118yes—
631C23C2×#12114yes—
632C23C2×#12314yes—
633C23C2×#12714yes—
634C23C2×#12714yes—
635C23C2×#12714yes—
636C23#53214yes—
637C23#53218yes—
638C23#53614yes—
639C23#547116yes—
640C23C23×D411yescharacteristic
641C23C23×D411yescharacteristic
642C23C23×D412yes—
643C23C22×#4111yescharacteristic
644C23C22×#4112yes—
645C23C22×#4112yes—
646C23C2×H(5,𝔽2)12yes—
647C23C2×2−1+412yes—
648C23#58512yes—
649D4—816no—
650D4—816no—
651D4—816no—
652D4—88no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—28no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—28no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—28no—
667C2×C4—232no—
668C2×C4—232no—
669C2×C4—28no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—28no—
674C2×C4—28no—
675C2×C4—416no—
676C2×C4—464no—
677C2×C4—416no—
678C2×C4—416no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—416no—
686C2×C4—48no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—48no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—48no—
706C2×C4—48no—
707C2×C4—48no—
708C2×C4—48no—
709C2×C4—816no—
710C2×C4—816no—
711C2×C4C2×#121116yes—
712C2×C4C2×#12114yes—
713C2×C4C2×#12114yes—
714C2×C4C2×#12314yes—
715C2×C4C2×#12314yes—
716C2×C4#53414yes—
717C2×C4#54618yes—
718C2×C4#55118yes—
719C22—24no—
720C22—24no—
721C22—24no—
722C22—216no—
723C22—216no—
724C22—216no—
725C22—216no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—24no—
737C22—24no—
738C22—464no—
739C22—42no—
740C22—48no—
741C22—48no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—82no—
746C22—82no—
747C22—88no—
748C22—88no—
749C22—82no—
750C22—82no—
751C22—82no—
752C22—82no—
753C22—82no—
754C22#250118yescomplemented
755C22#285618yes—
756C22C22×#12112yes—
757C22C22×#12111yescharacteristic
758C22C22×#12311yescharacteristic
759C22C22×#12711yescharacteristic
760C22C2×#53211yescharacteristic
761C22C2×#53212yes—
762C22C2×#53411yescharacteristic
763C22C2×#53611yescharacteristic
764C22#344911yescharacteristic
765C22C2×#54612yes—
766C22C2×#54714yes—
767C22C2×#55112yes—
768C22#347514yes—
769C22#348912yes—
770C22#349512yes—
771C22#349614yes—
772C22#352014yes—
773C4—216no—
774C4—24no—
775C4—24no—
776C4—48no—
777C4—42no—
778C4—84no—
779C4—82no—
780C4—84no—
781C4—82no—
782C4—82no—
783C4#241218yescomplemented
784C2—28no—
785C2—28no—
786C2—44no—
787C2—162no—
788C2C2×#241211yescharacteristic
789C2C2×#250111yescharacteristic
790C2#3481011yescharacteristic
791C2#3500111yescharacteristic
792C2#3508511yescharacteristic
793C2#3530611yescharacteristic
794C2#3615314yes—
795C2#3618314yes—
796C2C2×#285611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC2×#2847C2
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2501C2semidirect
3. C2×#2412C2semidirect
4. C22×#380C2semidirect
5. C22×C4×C22⋊C4C2semidirect
6. #15150C2semidirect
7. #15130C2semidirect
8. #14839C2semidirect
9. #14836C2semidirect
10. #14698C2semidirect
11. #14686C2semidirect
12. #14137C2semidirect
13. #13996C2semidirect
14. #13904C2semidirect
15. #13880C2semidirect
30. C2×#399C22semidirect
33. C2×#390C22semidirect
34. C2×#390C22semidirect
41. C2×#384C22semidirect
42. C2×#384C22semidirect
61. #1445C22semidirect
62. #1445C22semidirect
63. #1444C22semidirect
64. #1439C22semidirect
65. #1439C22semidirect
66. #1437C22semidirect
67. C4⋊#95C22semidirect
68. C4⋊#95C22semidirect
69. C4⋊#95C22semidirect
70. C4⋊#95C22semidirect
71. C4⋊#95C22semidirect
121. C22×C22⋊C4D4semidirect
167. C4×C22⋊C4D4semidirect
522. C22×C4#123semidirect
559. C22⋊C4#121semidirect
754. C22#2501semidirect
783. C4#2412semidirect

Maximal subgroups

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

subgroupindex
C2×#28472
C2×#25012
C2×#24122
C22×#3802
C22×C4×C22⋊C42
#151502
#151302
#148392
#148362
#146982
#146862
#141372
#139962
#139042
#138802