Finite Group Databasebeta

← #154133

Subgroups — #154133

Order 512.

4406 conjugacy classes of subgroups.

The subgroup lattice has 866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#382C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊C4C211yesmaximal, characteristic
3C2×#1439C212yesmaximal
4C2×#1434C211yesmaximal, characteristic, complemented
5C2×C22⋊#95C212yesmaximal
6#7557C212yesmaximal, complemented
7#7556C212yesmaximal, complemented
8#7555C212yesmaximal
9#7554C212yesmaximal, complemented
10C25×C4C2211yescharacteristic
11C23×C4⋊C4C2212yes—
12C23×C22⋊C4C2211yescharacteristic
13C23×C22⋊C4C2214yes—
14C23×C22⋊C4C2211yescharacteristic
15C23×C42C2211yescharacteristic
16C23×C42C2211yescharacteristic
17C2×#382—24no—
18C2×#382—28no—
19C2×C4×C22⋊C4—24no—
20C2×C4×C22⋊C4—24no—
21C2×C4×C22⋊C4C418yescomplemented
22C22×#95C2212yes—
23C22×#95C2212yes—
24C22×#95C2212yes—
25C22×#95C2212yes—
26C22×#95C2214yes—
27C22×#95C2214yes—
28C22×#95C2211yescharacteristic
29C22×#95C2211yescharacteristic
30C22×#95C2212yes—
31C22×#95C2214yes—
32#1439—28no—
33#1434—24no—
34C22⋊#95—28no—
35C26C2311yescharacteristic
36C24×C4—24no—
37C24×C4—22no—
38C24×C4—22no—
39C24×C4—24no—
40C24×C4—24no—
41C24×C4—24no—
42C24×C4—44no—
43C24×C4C2×C414yes—
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—24no—
58C22×C22⋊C4—22no—
59C22×C22⋊C4—22no—
60C22×C22⋊C4—22no—
61C22×C22⋊C4—22no—
62C22×C22⋊C4—24no—
63C22×C22⋊C4—22no—
64C22×C22⋊C4—22no—
65C22×C22⋊C4—28no—
66C22×C22⋊C4—28no—
67C22×C22⋊C4—28no—
68C22×C22⋊C4—28no—
69C22×C22⋊C4—28no—
70C22×C22⋊C4—44no—
71C22×C22⋊C4—44no—
72C22×C22⋊C4C2×C414yes—
73C22×C22⋊C4C2×C414yes—
74C22×C22⋊C4D414yes—
75C22×C22⋊C4Q814yes—
76C22×C42—24no—
77C22×C42—24no—
78C22×C42—22no—
79C22×C42—22no—
80C22×C42—44no—
81C22×C42C2×C414yes—
82C22×C42C2×C414yes—
83C22×C42D414yes—
84C22×C42D414yes—
85#382—232no—
86C4×C22⋊C4—232no—
87C2×#95—24no—
88C2×#95—22no—
89C2×#95—22no—
90C2×#95—22no—
91C2×#95—22no—
92C2×#95—28no—
93C2×#95—24no—
94C2×#95—24no—
95C2×#95—24no—
96C2×#95—28no—
97C2×#95—28no—
98C2×#95—24no—
99C2×#95—24no—
100C2×#95—24no—
101C2×#95—28no—
102C2×#95—24no—
103C2×#95—28no—
104C2×#95—28no—
105C2×#95—28no—
106C2×#95—24no—
107C2×#95—24no—
108C2×#95—44no—
109C2×#95—44no—
110C2×#95—44no—
111C2×#95—44no—
112C2×#95C2×C414yes—
113C2×#95C2×C414yes—
114C2×#95D418yes—
115C25—21no—
116C25—21no—
117C25—22no—
118C25—21no—
119C25—21no—
120C25—22no—
121C25—24no—
122C25—22no—
123C25—22no—
124C25—22no—
125C25—24no—
126C25—22no—
127C25C22×C412yes—
128C25C2×D412yes—
129C25C2×Q812yes—
130C25#4114yes—
131C25#4114yes—
132C25C2411yescharacteristic
133C23×C4—22no—
134C23×C4—22no—
135C23×C4—22no—
136C23×C4—22no—
137C23×C4—22no—
138C23×C4—24no—
139C23×C4—22no—
140C23×C4—216no—
141C23×C4—216no—
142C23×C4—28no—
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—22no—
154C23×C4—22no—
155C23×C4—22no—
156C23×C4—22no—
157C23×C4—22no—
158C23×C4—24no—
159C23×C4—24no—
160C23×C4—22no—
161C23×C4—24no—
162C23×C4—22no—
163C23×C4—24no—
164C23×C4—24no—
165C23×C4—22no—
166C23×C4—28no—
167C23×C4—28no—
168C23×C4—24no—
169C23×C4—24no—
170C23×C4—24no—
171C23×C4—24no—
172C23×C4—24no—
173C23×C4—24no—
174C23×C4—24no—
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—216no—
197C23×C4—48no—
198C23×C4—416no—
199C23×C4—416no—
200C23×C4—416no—
201C23×C4—416no—
202C23×C4—48no—
203C23×C4—48no—
204C23×C4—44no—
205C23×C4—48no—
206C23×C4—44no—
207C23×C4C22×C412yes—
208C23×C4C22×C412yes—
209C23×C4C22×C412yes—
210C23×C4C22×C412yes—
211C23×C4C22×C412yes—
212C23×C4C22×C412yes—
213C23×C4C2×D418yes—
214C23×C4C2×D412yes—
215C23×C4C2×D412yes—
216C23×C4C2×D412yes—
217C23×C4C2×D412yes—
218C23×C4C2×D412yes—
219C23×C4C2×D412yes—
220C23×C4C2×D412yes—
221C23×C4C2×D412yes—
222C23×C4C2×D414yes—
223C23×C4C2×Q812yes—
224C23×C4C2×Q812yes—
225C23×C4#4118yes—
226C23×C4#4114yes—
227C23×C4#4114yes—
228C23×C4#4112yes—
229C23×C4#4112yes—
230C23×C4#4114yes—
231C2×C4⋊C4—216no—
232C2×C4⋊C4—416no—
233C2×C4⋊C4—416no—
234C2×C4⋊C4—48no—
235C2×C4⋊C4—48no—
236C2×C22⋊C4—216no—
237C2×C22⋊C4—216no—
238C2×C22⋊C4—28no—
239C2×C22⋊C4—28no—
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—232no—
248C2×C22⋊C4—416no—
249C2×C22⋊C4—416no—
250C2×C22⋊C4—416no—
251C2×C22⋊C4—416no—
252C2×C22⋊C4—416no—
253C2×C22⋊C4—416no—
254C2×C22⋊C4C4⋊C4116yes—
255C2×C42—216no—
256C2×C42—28no—
257C2×C42—216no—
258C2×C42—28no—
259C2×C42—28no—
260C2×C42—48no—
261C2×C42—48no—
262C2×C42—48no—
263C2×C42C22⋊C4116yescomplemented
264#95—216no—
265#95—216no—
266#95—28no—
267#95—28no—
268#95—216no—
269#95—416no—
270#95—416no—
271#95—416no—
272#95—48no—
273#95—48no—
274C24—22no—
275C24—22no—
276C24—22no—
277C24—22no—
278C24—24no—
279C24—24no—
280C24—24no—
281C24—24no—
282C24—22no—
283C24—22no—
284C24—22no—
285C24—22no—
286C24—24no—
287C24—24no—
288C24—28no—
289C24—24no—
290C24—24no—
291C24—24no—
292C24—24no—
293C24—24no—
294C24—24no—
295C24—28no—
296C24—24no—
297C24—24no—
298C24—28no—
299C24—28no—
300C24—24no—
301C24—28no—
302C24—28no—
303C24—24no—
304C24—24no—
305C24—28no—
306C24—28no—
307C24—28no—
308C24—24no—
309C24—28no—
310C24—41no—
311C24—42no—
312C24—41no—
313C24—42no—
314C24—44no—
315C24—42no—
316C24—44no—
317C24—42no—
318C24—42no—
319C24—41no—
320C24—41no—
321C24—42no—
322C24—44no—
323C24—44no—
324C24—44no—
325C24—42no—
326C24—42no—
327C24—44no—
328C24—42no—
329C24—44no—
330C24—44no—
331C24—42no—
332C24—44no—
333C24—44no—
334C24C2×C4⋊C414yes—
335C24#11714yes—
336C24#11714yes—
337C24#12418yes—
338C24#12518yes—
339C24C23×C411yescharacteristic
340C24C22×D411yescharacteristic
341C24C22×D411yescharacteristic
342C24C22×D411yescharacteristic
343C24C22×D412yes—
344C24C22×Q811yescharacteristic
345C24C2×#4111yescharacteristic
346C24C2×#4111yescharacteristic
347C24C2×#4112yes—
348C24C2×#4112yes—
349C24C2×#4112yes—
350C24C2×#4112yes—
351C24C2×#4112yes—
352C24C2×#4114yes—
353C24H(5,𝔽2)14yes—
354C24H(5,𝔽2)12yes—
355C242−1+412yes—
356C22×C4—22no—
357C22×C4—22no—
358C22×C4—24no—
359C22×C4—24no—
360C22×C4—24no—
361C22×C4—22no—
362C22×C4—24no—
363C22×C4—22no—
364C22×C4—24no—
365C22×C4—24no—
366C22×C4—24no—
367C22×C4—24no—
368C22×C4—22no—
369C22×C4—22no—
370C22×C4—24no—
371C22×C4—24no—
372C22×C4—24no—
373C22×C4—28no—
374C22×C4—28no—
375C22×C4—24no—
376C22×C4—24no—
377C22×C4—24no—
378C22×C4—28no—
379C22×C4—28no—
380C22×C4—24no—
381C22×C4—24no—
382C22×C4—24no—
383C22×C4—232no—
384C22×C4—22no—
385C22×C4—22no—
386C22×C4—22no—
387C22×C4—22no—
388C22×C4—22no—
389C22×C4—22no—
390C22×C4—22no—
391C22×C4—22no—
392C22×C4—24no—
393C22×C4—24no—
394C22×C4—24no—
395C22×C4—24no—
396C22×C4—24no—
397C22×C4—24no—
398C22×C4—24no—
399C22×C4—24no—
400C22×C4—22no—
401C22×C4—24no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4—22no—
405C22×C4—22no—
406C22×C4—22no—
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—28no—
416C22×C4—28no—
417C22×C4—28no—
418C22×C4—28no—
419C22×C4—28no—
420C22×C4—28no—
421C22×C4—28no—
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—432no—
436C22×C4—432no—
437C22×C4—416no—
438C22×C4—432no—
439C22×C4—464no—
440C22×C4—432no—
441C22×C4—41no—
442C22×C4—42no—
443C22×C4—41no—
444C22×C4—42no—
445C22×C4—44no—
446C22×C4—44no—
447C22×C4—44no—
448C22×C4—42no—
449C22×C4—44no—
450C22×C4—42no—
451C22×C4—42no—
452C22×C4—42no—
453C22×C4—42no—
454C22×C4—41no—
455C22×C4—42no—
456C22×C4—42no—
457C22×C4—41no—
458C22×C4—42no—
459C22×C4—44no—
460C22×C4—44no—
461C22×C4—44no—
462C22×C4—44no—
463C22×C4—44no—
464C22×C4—44no—
465C22×C4—416no—
466C22×C4—44no—
467C22×C4—44no—
468C22×C4—44no—
469C22×C4—44no—
470C22×C4—44no—
471C22×C4—44no—
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×C4C2×C22⋊C414yes—
523C22×C4C2×C22⋊C414yes—
524C22×C4C2×C22⋊C414yes—
525C22×C4C2×C4⋊C414yes—
526C22×C4C2×C4⋊C414yes—
527C22×C4#11714yes—
528C22×C4#11714yes—
529C22×C4#11714yes—
530C22×C4C4×D418yes—
531C22×C4#12014yes—
532C22×C4#12114yes—
533C22×C4#12114yes—
534C22×C4#12118yes—
535C22×C4C22⋊Q814yes—
536C22×C4C22⋊Q814yes—
537C22×C4#12314yes—
538C4⋊C4—432no—
539C22⋊C4—232no—
540C22⋊C4—232no—
541C22⋊C4—464no—
542C42—232no—
543C42—416no—
544C23—28no—
545C23—28no—
546C23—28no—
547C23—28no—
548C23—28no—
549C23—28no—
550C23—28no—
551C23—28no—
552C23—28no—
553C23—216no—
554C23—216no—
555C23—216no—
556C23—216no—
557C23—24no—
558C23—24no—
559C23—24no—
560C23—24no—
561C23—24no—
562C23—24no—
563C23—28no—
564C23—42no—
565C23—44no—
566C23—42no—
567C23—44no—
568C23—48no—
569C23—48no—
570C23—48no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—44no—
575C23—48no—
576C23—44no—
577C23—44no—
578C23—44no—
579C23—44no—
580C23—44no—
581C23—48no—
582C23—44no—
583C23—48no—
584C23—44no—
585C23—44no—
586C23—42no—
587C23—42no—
588C23—48no—
589C23—44no—
590C23—44no—
591C23—48no—
592C23—48no—
593C23—44no—
594C23—42no—
595C23—42no—
596C23—48no—
597C23—48no—
598C23—44no—
599C23—42no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—48no—
604C23—48no—
605C23—48no—
606C23—48no—
607C23—48no—
608C23#38218yescomplemented
609C23C22×C22⋊C411yescharacteristic
610C23C22×C4⋊C411yescharacteristic
611C23C2×#11711yescharacteristic
612C23C2×#11711yescharacteristic
613C23C2×#11711yescharacteristic
614C23C2×#11711yescharacteristic
615C23C2×#11711yescharacteristic
616C23C2×C4×D412yes—
617C23C4×#4112yes—
618C23#51812yes—
619C23#52012yes—
620C23C2×#12011yescharacteristic
621C23C2×#12111yescharacteristic
622C23C2×#12111yescharacteristic
623C23C2×#12112yes—
624C23C2×C22⋊Q811yescharacteristic
625C23C2×C22⋊Q811yescharacteristic
626C23C2×#12311yescharacteristic
627C23#52512yes—
628C23#52512yes—
629C23#52512yes—
630C23#52512yes—
631C23#52512yes—
632C23#52514yes—
633C23C2×#12412yes—
634C23C2×#12512yes—
635C23#52914yes—
636C23#52912yes—
637C23#52912yes—
638C23#52912yes—
639C23#52912yes—
640C23#52914yes—
641C23#53212yes—
642C23#53212yes—
643C23#53214yes—
644C23#53312yes—
645C23#53512yes—
646C23#53512yes—
647C23#53511yescharacteristic
648C23#53611yescharacteristic
649C23#53712yes—
650C23#53814yes—
651C23#53814yes—
652C23#53914yes—
653C23#53914yes—
654C23D4212yes—
655C23#54614yes—
656C23#54614yes—
657C23#54614yes—
658C23#54612yes—
659C23#54712yes—
660C23#54812yes—
661C23D4×Q812yes—
662C23#55114yes—
663C23#55114yes—
664C23#55114yes—
665C23#55212yes—
666C23#55214yes—
667C23#55214yes—
668C23#55314yes—
669C23#55312yes—
670C23#55414yes—
671C23#55412yes—
672C23#55514yes—
673C23#55914yes—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—28no—
677C2×C4—28no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—28no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—216no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—28no—
687C2×C4—24no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—28no—
692C2×C4—28no—
693C2×C4—28no—
694C2×C4—24no—
695C2×C4—24no—
696C2×C4—24no—
697C2×C4—24no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—464no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—48no—
713C2×C4—44no—
714C2×C4—48no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—48no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—42no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—48no—
726C2×C4—48no—
727C2×C4—48no—
728C2×C4—48no—
729C2×C4—48no—
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—84no—
740C2×C4—84no—
741C2×C4—84no—
742C2×C4—84no—
743C2×C4—84no—
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#38018yes—
756C2×C4#38618yes—
757C22—216no—
758C22—28no—
759C22—44no—
760C22—44no—
761C22—44no—
762C22—44no—
763C22—48no—
764C22—48no—
765C22—48no—
766C22—416no—
767C22—416no—
768C22—48no—
769C22—48no—
770C22—44no—
771C22—44no—
772C22—48no—
773C22—48no—
774C22C2×#38011yescharacteristic
775C22#228011yescharacteristic
776C22#228011yescharacteristic
777C22C2×#38211yescharacteristic
778C22#228311yescharacteristic
779C22#228311yescharacteristic
780C22#228511yescharacteristic
781C22C2×#38611yescharacteristic
782C22#229012yes—
783C22#229312yes—
784C22#229711yescharacteristic
785C22#230911yescharacteristic
786C22#231111yescharacteristic
787C22#231812yes—
788C22#231812yes—
789C22#234212yes—
790C22#234212yes—
791C22#234312yes—
792C22#234612yes—
793C22D4×C4⋊C412yes—
794C22#234912yes—
795C22#235212yes—
796C22#235712yes—
797C22#238812yes—
798C22#239214yes—
799C22#239512yes—
800C22#240412yes—
801C22#240811yescharacteristic
802C22#240911yescharacteristic
803C22#241114yes—
804C22#241612yes—
805C22#241712yes—
806C22#245914yes—
807C22#246014yes—
808C22#247214yes—
809C22#247314yes—
810C22#248212yes—
811C22#248611yescharacteristic
812C22#248711yescharacteristic
813C22#248814yes—
814C22#250514yes—
815C22#251714yes—
816C22#251814yes—
817C22#253512yes—
818C22#254412yes—
819C22#255314yes—
820C22#255514yes—
821C22#255614yes—
822C22#255714yes—
823C22#255814yes—
824C22#256612yes—
825C22#257414yes—
826C22#257514yes—
827C22#257614yes—
828C22#258012yes—
829C22#260914yes—
830C22#261012yes—
831C22#261112yes—
832C22#263112yes—
833C22#263312yes—
834C22#263614yes—
835C22#285012yes—
836C22#285012yes—
837C22#285112yes—
838C22#285112yes—
839C4—28no—
840C4—28no—
841C4—44no—
842C4—44no—
843C4—44no—
844C4—44no—
845C4—88no—
846C4—88no—
847C2—48no—
848C2#1383911yescharacteristic
849C2#1386811yescharacteristic
850C2#1387211yescharacteristic
851C2#1388812yes—
852C2#1389612yes—
853C2#1391512yes—
854C2#1391712yes—
855C2#1394111yescharacteristic
856C2#1395711yescharacteristic
857C2#1434511yescharacteristic
858C2#1468211yescharacteristic
859C2#1491512yes—
860C2#1491612yes—
861C2#1492214yes—
862C2#1492314yes—
863C2#1501612yes—
864C2#1501712yes—
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
1. C22×#382C2semidirect
4. C2×#1434C2semidirect
6. #7557C2semidirect
7. #7556C2semidirect
9. #7554C2semidirect
21. C2×C4×C22⋊C4C4semidirect
263. C2×C42C22⋊C4semidirect
608. C23#382semidirect

Maximal subgroups

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

subgroupindex
C22×#3822
C22×C4×C22⋊C42
C2×#14392
C2×#14342
C2×C22⋊#952
#75572
#75562
#75552
#75542