Finite Group Databasebeta

← #154152

Subgroups — #154152

Order 512.

4406 conjugacy classes of subgroups.

The subgroup lattice has 871 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#380C211yesmaximal, characteristic
2C22×C4×C22⋊C4C211yesmaximal, characteristic
3C2×#1440C212yesmaximal
4C2×#1434C212yesmaximal, complemented
5C2×C22⋊#95C211yesmaximal, characteristic
6#7557C212yesmaximal, complemented
7#7557C212yesmaximal, complemented
8#7555C212yesmaximal
9#7554C212yesmaximal, complemented
10C25×C4C2211yescharacteristic
11C23×C4⋊C4C2212yes—
12C23×C22⋊C4C2211yescharacteristic
13C23×C22⋊C4C2212yes—
14C23×C22⋊C4C2212yes—
15C23×C22⋊C4C2211yescharacteristic
16C23×C42C2211yescharacteristic
17C23×C42C2211yescharacteristic
18C2×#380—28no—
19C2×#380—24no—
20C2×C4×C22⋊C4—24no—
21C2×C4×C22⋊C4—24no—
22C2×C4×C22⋊C4C418yescomplemented
23C22×#95C2212yes—
24C22×#95C2214yes—
25C22×#95C2212yes—
26C22×#95C2214yes—
27C22×#95C2214yes—
28C22×#95C2211yescharacteristic
29C22×#95C2211yescharacteristic
30C22×#95C2212yes—
31C22×#95C2214yes—
32#1440—28no—
33#1434—28no—
34C22⋊#95—24no—
35C26C2311yescharacteristic
36C24×C4—24no—
37C24×C4—24no—
38C24×C4—24no—
39C24×C4—24no—
40C24×C4—44no—
41C24×C4C2×C414yes—
42C24×C4D414yes—
43C24×C4D414yes—
44C24×C4C2314yes—
45C24×C4C2314yes—
46C24×C4C2311yescharacteristic
47C24×C4C2311yescharacteristic
48C24×C4C2311yescharacteristic
49C24×C4C2311yescharacteristic
50C24×C4C2311yescharacteristic
51C24×C4C2311yescharacteristic
52C22×C4⋊C4—28no—
53C22×C4⋊C4—24no—
54C22×C4⋊C4—24no—
55C22×C4⋊C4—24no—
56C22×C4⋊C4—44no—
57C22×C22⋊C4—22no—
58C22×C22⋊C4—22no—
59C22×C22⋊C4—22no—
60C22×C22⋊C4—22no—
61C22×C22⋊C4—22no—
62C22×C22⋊C4—22no—
63C22×C22⋊C4—24no—
64C22×C22⋊C4—24no—
65C22×C22⋊C4—24no—
66C22×C22⋊C4—24no—
67C22×C22⋊C4—28no—
68C22×C22⋊C4—28no—
69C22×C22⋊C4—24no—
70C22×C22⋊C4—24no—
71C22×C22⋊C4—24no—
72C22×C22⋊C4—24no—
73C22×C22⋊C4—44no—
74C22×C22⋊C4—44no—
75C22×C22⋊C4C2×C414yes—
76C22×C22⋊C4C2×C414yes—
77C22×C22⋊C4D414yes—
78C22×C22⋊C4Q814yes—
79C22×C42—24no—
80C22×C42—22no—
81C22×C42—22no—
82C22×C42—22no—
83C22×C42—22no—
84C22×C42—24no—
85C22×C42—44no—
86C22×C42C2×C414yes—
87C22×C42C2×C414yes—
88#380—232no—
89C4×C22⋊C4—232no—
90C2×#95—28no—
91C2×#95—22no—
92C2×#95—22no—
93C2×#95—22no—
94C2×#95—22no—
95C2×#95—24no—
96C2×#95—24no—
97C2×#95—28no—
98C2×#95—28no—
99C2×#95—24no—
100C2×#95—24no—
101C2×#95—28no—
102C2×#95—24no—
103C2×#95—28no—
104C2×#95—28no—
105C2×#95—28no—
106C2×#95—28no—
107C2×#95—24no—
108C2×#95—24no—
109C2×#95—24no—
110C2×#95—44no—
111C2×#95—44no—
112C2×#95—44no—
113C2×#95—44no—
114C2×#95C2×C414yes—
115C2×#95C2×C414yes—
116C2×#95D418yes—
117C25—22no—
118C25—22no—
119C25—22no—
120C25—24no—
121C25—22no—
122C25—22no—
123C25—22no—
124C25—22no—
125C25—24no—
126C25—22no—
127C25C22×C412yes—
128C25C2×D412yes—
129C25C2×D412yes—
130C25C2×D412yes—
131C25C2×Q812yes—
132C25#4112yes—
133C25#4112yes—
134C25C2411yescharacteristic
135C23×C4—22no—
136C23×C4—22no—
137C23×C4—22no—
138C23×C4—22no—
139C23×C4—24no—
140C23×C4—24no—
141C23×C4—21no—
142C23×C4—21no—
143C23×C4—21no—
144C23×C4—21no—
145C23×C4—21no—
146C23×C4—21no—
147C23×C4—21no—
148C23×C4—21no—
149C23×C4—22no—
150C23×C4—22no—
151C23×C4—21no—
152C23×C4—21no—
153C23×C4—21no—
154C23×C4—21no—
155C23×C4—22no—
156C23×C4—22no—
157C23×C4—24no—
158C23×C4—24no—
159C23×C4—22no—
160C23×C4—22no—
161C23×C4—22no—
162C23×C4—22no—
163C23×C4—24no—
164C23×C4—24no—
165C23×C4—22no—
166C23×C4—22no—
167C23×C4—28no—
168C23×C4—28no—
169C23×C4—216no—
170C23×C4—28no—
171C23×C4—216no—
172C23×C4—216no—
173C23×C4—216no—
174C23×C4—28no—
175C23×C4—24no—
176C23×C4—24no—
177C23×C4—24no—
178C23×C4—24no—
179C23×C4—24no—
180C23×C4—24no—
181C23×C4—24no—
182C23×C4—24no—
183C23×C4—24no—
184C23×C4—24no—
185C23×C4—24no—
186C23×C4—24no—
187C23×C4—24no—
188C23×C4—24no—
189C23×C4—24no—
190C23×C4—24no—
191C23×C4—24no—
192C23×C4—24no—
193C23×C4—24no—
194C23×C4—24no—
195C23×C4—24no—
196C23×C4—24no—
197C23×C4—24no—
198C23×C4—24no—
199C23×C4—24no—
200C23×C4—24no—
201C23×C4—24no—
202C23×C4—24no—
203C23×C4—48no—
204C23×C4—48no—
205C23×C4—48no—
206C23×C4—416no—
207C23×C4—416no—
208C23×C4—416no—
209C23×C4—416no—
210C23×C4C22⋊C4116yes—
211C23×C4C22×C412yes—
212C23×C4C22×C412yes—
213C23×C4C22×C412yes—
214C23×C4C22×C412yes—
215C23×C4C22×C412yes—
216C23×C4C22×C412yes—
217C23×C4C2×D418yes—
218C23×C4C2×D412yes—
219C23×C4C2×D412yes—
220C23×C4C2×D412yes—
221C23×C4C2×D412yes—
222C23×C4C2×D412yes—
223C23×C4C2×D412yes—
224C23×C4C2×D414yes—
225C23×C4C2×Q812yes—
226C23×C4C2×Q812yes—
227C23×C4#4118yes—
228C23×C4#4114yes—
229C23×C4#4114yes—
230C23×C4#4114yes—
231C23×C4#4114yes—
232C23×C4#4114yes—
233C2×C4⋊C4—216no—
234C2×C4⋊C4—416no—
235C2×C4⋊C4—416no—
236C2×C4⋊C4—48no—
237C2×C4⋊C4—48no—
238C2×C22⋊C4—216no—
239C2×C22⋊C4—216no—
240C2×C22⋊C4—28no—
241C2×C22⋊C4—28no—
242C2×C22⋊C4—28no—
243C2×C22⋊C4—28no—
244C2×C22⋊C4—28no—
245C2×C22⋊C4—28no—
246C2×C22⋊C4—28no—
247C2×C22⋊C4—28no—
248C2×C22⋊C4—28no—
249C2×C22⋊C4—216no—
250C2×C22⋊C4—216no—
251C2×C22⋊C4—416no—
252C2×C22⋊C4—416no—
253C2×C22⋊C4—416no—
254C2×C22⋊C4—416no—
255C2×C22⋊C4—48no—
256C2×C22⋊C4—48no—
257C2×C22⋊C4—48no—
258C2×C22⋊C4—48no—
259C2×C22⋊C4C4⋊C4116yescomplemented
260C2×C42—28no—
261C2×C42—28no—
262C2×C42—216no—
263C2×C42—48no—
264C2×C42—48no—
265C2×C42—48no—
266C2×C42—44no—
267C2×C42—48no—
268C2×C42—44no—
269#95—232no—
270#95—28no—
271#95—28no—
272#95—216no—
273#95—416no—
274#95—416no—
275#95—416no—
276#95—48no—
277#95—48no—
278C24—22no—
279C24—22no—
280C24—22no—
281C24—22no—
282C24—24no—
283C24—24no—
284C24—24no—
285C24—24no—
286C24—22no—
287C24—24no—
288C24—24no—
289C24—24no—
290C24—22no—
291C24—24no—
292C24—24no—
293C24—24no—
294C24—24no—
295C24—24no—
296C24—24no—
297C24—24no—
298C24—24no—
299C24—24no—
300C24—24no—
301C24—24no—
302C24—24no—
303C24—24no—
304C24—24no—
305C24—22no—
306C24—22no—
307C24—24no—
308C24—24no—
309C24—24no—
310C24—28no—
311C24—24no—
312C24—24no—
313C24—24no—
314C24—28no—
315C24—24no—
316C24—28no—
317C24—24no—
318C24—28no—
319C24—24no—
320C24—44no—
321C24—44no—
322C24—44no—
323C24—44no—
324C24—44no—
325C24—44no—
326C24—44no—
327C24—44no—
328C24—44no—
329C24—44no—
330C24—44no—
331C24—44no—
332C24—44no—
333C24—44no—
334C24—44no—
335C24—44no—
336C24C2×C22⋊C414yes—
337C24C2×C4⋊C414yes—
338C24#11714yes—
339C24#12114yes—
340C24#12114yes—
341C24C22⋊Q814yes—
342C24C22⋊Q814yes—
343C24C23×C411yescharacteristic
344C24C22×D411yescharacteristic
345C24C22×D411yescharacteristic
346C24C22×D411yescharacteristic
347C24C22×D412yes—
348C24C22×Q811yescharacteristic
349C24C2×#4111yescharacteristic
350C24C2×#4111yescharacteristic
351C24C2×#4112yes—
352C24C2×#4112yes—
353C24C2×#4112yes—
354C24C2×#4112yes—
355C24C2×#4112yes—
356C24C2×#4114yes—
357C24H(5,𝔽2)14yes—
358C24H(5,𝔽2)12yes—
359C242−1+412yes—
360C22×C4—22no—
361C22×C4—22no—
362C22×C4—24no—
363C22×C4—24no—
364C22×C4—24no—
365C22×C4—22no—
366C22×C4—24no—
367C22×C4—24no—
368C22×C4—24no—
369C22×C4—22no—
370C22×C4—24no—
371C22×C4—24no—
372C22×C4—24no—
373C22×C4—24no—
374C22×C4—28no—
375C22×C4—28no—
376C22×C4—28no—
377C22×C4—28no—
378C22×C4—28no—
379C22×C4—28no—
380C22×C4—28no—
381C22×C4—28no—
382C22×C4—22no—
383C22×C4—22no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—24no—
391C22×C4—24no—
392C22×C4—24no—
393C22×C4—24no—
394C22×C4—24no—
395C22×C4—24no—
396C22×C4—24no—
397C22×C4—24no—
398C22×C4—22no—
399C22×C4—22no—
400C22×C4—22no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—28no—
407C22×C4—24no—
408C22×C4—24no—
409C22×C4—24no—
410C22×C4—24no—
411C22×C4—28no—
412C22×C4—28no—
413C22×C4—28no—
414C22×C4—24no—
415C22×C4—28no—
416C22×C4—24no—
417C22×C4—24no—
418C22×C4—24no—
419C22×C4—28no—
420C22×C4—232no—
421C22×C4—232no—
422C22×C4—28no—
423C22×C4—28no—
424C22×C4—28no—
425C22×C4—28no—
426C22×C4—28no—
427C22×C4—28no—
428C22×C4—28no—
429C22×C4—28no—
430C22×C4—28no—
431C22×C4—28no—
432C22×C4—28no—
433C22×C4—28no—
434C22×C4—28no—
435C22×C4—28no—
436C22×C4—416no—
437C22×C4—432no—
438C22×C4—432no—
439C22×C4—432no—
440C22×C4—464no—
441C22×C4—432no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—44no—
451C22×C4—42no—
452C22×C4—44no—
453C22×C4—42no—
454C22×C4—42no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—42no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—42no—
463C22×C4—42no—
464C22×C4—44no—
465C22×C4—44no—
466C22×C4—42no—
467C22×C4—42no—
468C22×C4—44no—
469C22×C4—42no—
470C22×C4—44no—
471C22×C4—42no—
472C22×C4—44no—
473C22×C4—44no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—44no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—44no—
484C22×C4—44no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—44no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4C2×C22⋊C414yes—
529C22×C4C2×C22⋊C414yes—
530C22×C4C2×C4⋊C414yes—
531C22×C4C2×C4⋊C414yes—
532C22×C4#11714yes—
533C22×C4#11714yes—
534C22×C4#11714yes—
535C22×C4#11714yes—
536C22×C4C4×D418yes—
537C22×C4#12014yes—
538C22×C4#12118yes—
539C22×C4#12318yes—
540C22×C4#12318yes—
541C22×C4#12314yes—
542C4⋊C4—432no—
543C22⋊C4—232no—
544C22⋊C4—232no—
545C22⋊C4—432no—
546C22⋊C4—432no—
547C42—416no—
548C42—416no—
549C23—24no—
550C23—28no—
551C23—24no—
552C23—28no—
553C23—28no—
554C23—28no—
555C23—28no—
556C23—28no—
557C23—28no—
558C23—28no—
559C23—28no—
560C23—28no—
561C23—24no—
562C23—24no—
563C23—28no—
564C23—28no—
565C23—24no—
566C23—24no—
567C23—28no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—24no—
574C23—24no—
575C23—28no—
576C23—24no—
577C23—48no—
578C23—44no—
579C23—48no—
580C23—44no—
581C23—48no—
582C23—48no—
583C23—44no—
584C23—44no—
585C23—44no—
586C23—44no—
587C23—48no—
588C23—44no—
589C23—44no—
590C23—44no—
591C23—48no—
592C23—44no—
593C23—44no—
594C23—48no—
595C23—48no—
596C23—48no—
597C23—48no—
598C23—48no—
599C23—44no—
600C23—48no—
601C23—44no—
602C23—44no—
603C23—48no—
604C23—48no—
605C23—48no—
606C23—48no—
607C23—44no—
608C23—44no—
609C23—48no—
610C23—48no—
611C23—48no—
612C23—48no—
613C23#38018yes—
614C23C22×C22⋊C411yescharacteristic
615C23C22×C4⋊C411yescharacteristic
616C23C2×#11711yescharacteristic
617C23C2×#11711yescharacteristic
618C23C2×#11711yescharacteristic
619C23C2×#11711yescharacteristic
620C23C2×#11711yescharacteristic
621C23C2×C4×D412yes—
622C23C4×#4112yes—
623C23#51812yes—
624C23#52012yes—
625C23C2×#12011yescharacteristic
626C23C2×#12111yescharacteristic
627C23C2×#12111yescharacteristic
628C23C2×#12112yes—
629C23C2×C22⋊Q811yescharacteristic
630C23C2×C22⋊Q811yescharacteristic
631C23C2×#12312yes—
632C23C2×#12312yes—
633C23C2×#12311yescharacteristic
634C23#52512yes—
635C23#52512yes—
636C23#52512yes—
637C23#52514yes—
638C23#52912yes—
639C23#52914yes—
640C23#52912yes—
641C23#52912yes—
642C23#52912yes—
643C23#52914yes—
644C23#53214yes—
645C23#53212yes—
646C23#53212yes—
647C23#53212yes—
648C23#53312yes—
649C23#53312yes—
650C23#53412yes—
651C23#53412yes—
652C23#53511yescharacteristic
653C23#53611yescharacteristic
654C23#53712yes—
655C23#53814yes—
656C23#53914yes—
657C23#54014yes—
658C23#54214yes—
659C23D4212yes—
660C23#54614yes—
661C23#54614yes—
662C23#54614yes—
663C23#54612yes—
664C23#54712yes—
665C23#54812yes—
666C23D4×Q812yes—
667C23#55114yes—
668C23#55114yes—
669C23#55114yes—
670C23#55212yes—
671C23#55214yes—
672C23#55314yes—
673C23#55312yes—
674C23#55314yes—
675C23#55414yes—
676C23#55412yes—
677C23#55514yes—
678C23#55614yes—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—28no—
682C2×C4—28no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—216no—
688C2×C4—216no—
689C2×C4—28no—
690C2×C4—28no—
691C2×C4—24no—
692C2×C4—24no—
693C2×C4—28no—
694C2×C4—28no—
695C2×C4—28no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—28no—
701C2×C4—464no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—48no—
712C2×C4—44no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—48no—
716C2×C4—44no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4—48no—
731C2×C4—48no—
732C2×C4—48no—
733C2×C4—48no—
734C2×C4—48no—
735C2×C4—48no—
736C2×C4—48no—
737C2×C4—48no—
738C2×C4—48no—
739C2×C4—48no—
740C2×C4—48no—
741C2×C4—48no—
742C2×C4—48no—
743C2×C4—48no—
744C2×C4—84no—
745C2×C4—84no—
746C2×C4—84no—
747C2×C4—84no—
748C2×C4—84no—
749C2×C4—84no—
750C2×C4—84no—
751C2×C4—84no—
752C2×C4—84no—
753C2×C4—84no—
754C2×C4—84no—
755C2×C4—84no—
756C2×C4—84no—
757C2×C4—84no—
758C2×C4—84no—
759C2×C4—84no—
760C2×C4#38118yes—
761C2×C4#38618yes—
762C22—28no—
763C22—28no—
764C22—28no—
765C22—44no—
766C22—44no—
767C22—44no—
768C22—48no—
769C22—48no—
770C22—48no—
771C22—48no—
772C22—44no—
773C22—48no—
774C22—416no—
775C22—48no—
776C22—416no—
777C22—48no—
778C22—48no—
779C22C2×#38011yescharacteristic
780C22C2×#38111yescharacteristic
781C22#228011yescharacteristic
782C22#228311yescharacteristic
783C22#228311yescharacteristic
784C22#228511yescharacteristic
785C22#228511yescharacteristic
786C22C2×#38611yescharacteristic
787C22#229012yes—
788C22#229312yes—
789C22#229711yescharacteristic
790C22#230811yescharacteristic
791C22#231111yescharacteristic
792C22#231812yes—
793C22#231912yes—
794C22#234212yes—
795C22#234212yes—
796C22#234612yes—
797C22#234712yes—
798C22D4×C4⋊C412yes—
799C22#234912yes—
800C22#235212yes—
801C22#235312yes—
802C22#238812yes—
803C22#239214yes—
804C22#239512yes—
805C22#240512yes—
806C22#240811yescharacteristic
807C22#240911yescharacteristic
808C22#241214yes—
809C22#241612yes—
810C22#241712yes—
811C22#246414yes—
812C22#246514yes—
813C22#247614yes—
814C22#247714yes—
815C22#248312yes—
816C22#248514yes—
817C22#248611yescharacteristic
818C22#248711yescharacteristic
819C22#249912yes—
820C22#250012yes—
821C22#252114yes—
822C22#252214yes—
823C22#253014yes—
824C22#253114yes—
825C22#253412yes—
826C22#254312yes—
827C22#255314yes—
828C22#255514yes—
829C22#255614yes—
830C22#255914yes—
831C22#256014yes—
832C22#256412yes—
833C22#257414yes—
834C22#257714yes—
835C22#257814yes—
836C22#257912yes—
837C22#263014yes—
838C22#263512yes—
839C22#263812yes—
840C22#285412yes—
841C22#285412yes—
842C22#285512yes—
843C22#285512yes—
844C4—28no—
845C4—28no—
846C4—44no—
847C4—44no—
848C4—44no—
849C4—44no—
850C4—88no—
851C4—88no—
852C2—48no—
853C2#1383911yescharacteristic
854C2#1386911yescharacteristic
855C2#1387211yescharacteristic
856C2#1389112yes—
857C2#1389812yes—
858C2#1391512yes—
859C2#1391912yes—
860C2#1393911yescharacteristic
861C2#1396011yescharacteristic
862C2#1434411yescharacteristic
863C2#1468511yescharacteristic
864C2#1499612yes—
865C2#1499714yes—
866C2#1500112yes—
867C2#1500214yes—
868C2#1506112yes—
869C2#1506312yes—
subgroupG/H
center, Frattini, socle, cosocleC25C24
commutatorC24C23×C4
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C25 ◁ G
LECSG ▷ C25 ▷ C1

Complements

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

NH ≅ G/Ntype
4. C2×#1434C2semidirect
6. #7557C2semidirect
7. #7557C2semidirect
9. #7554C2semidirect
22. C2×C4×C22⋊C4C4semidirect
259. C2×C22⋊C4C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
C22×#3802
C22×C4×C22⋊C42
C2×#14402
C2×#14342
C2×C22⋊#952
#75572
#75552
#75542