Finite Group Databasebeta

← #877418

Subgroups — #877418

Order 512.

4318 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2804C211yesmaximal, characteristic, complemented
2C22×#390C211yesmaximal, characteristic
3#17077C212yesmaximal, complemented
4#16599C212yesmaximal, complemented
5#15331C214yesmaximal, complemented
6#15329C214yesmaximal, complemented
7#14822C212yesmaximal, complemented
8#14717C214yesmaximal, complemented
9#14702C212yesmaximal, complemented
10#14513C212yesmaximal, complemented
11#14440C211yesmaximal, characteristic, complemented
12#13877C214yesmaximal, complemented
13#13867C212yesmaximal
14C24×D4C2211yescharacteristic
15C22×C22⋊Q8C2212yes—
16C23×C4⋊C4C2211yescharacteristic
17C23×C22⋊C4C2214yes—
18C23×C22⋊C4C2212yes—
19C23×C42C2211yescharacteristic
20#2804—28no—
21C2×#400C2212yescomplemented
22C2×#400C2212yescomplemented
23C2×#393C2214yescomplemented
24C2×#393C2214yescomplemented
25C2×#391C2212yescomplemented
26C2×#391C2212yescomplemented
27C2×#390—28no—
28C2×#390C2211yescharacteristic
29C2×#390C2211yescharacteristic
30C2×#390C2211yescharacteristic
31C2×#390C2214yes—
32C2×#390C2211yescharacteristic
33C2×#386C2212yes—
34C2×#386C2212yes—
35C2×#386C2212yes—
36C2×#386C2212yes—
37C2×#385C2214yescomplemented
38C2×#385C2214yescomplemented
39C2×#380C2212yes—
40C2×#380C2212yes—
41C2×#379C2214yes—
42C2×#379C2212yes—
43#1442C2214yescomplemented
44#1442C2214yescomplemented
45#1441C2212yescomplemented
46#1441C2212yescomplemented
47#1439C2214yescomplemented
48#1439C2214yescomplemented
49#1439C2214yescomplemented
50#1439C2214yescomplemented
51#1439C2214yescomplemented
52#1439C2214yescomplemented
53#1439C2214yescomplemented
54#1439C2214yescomplemented
55#1439C2214yescomplemented
56#1439C2214yescomplemented
57#1438C2214yes—
58#1438C2214yes—
59#1436C2214yescomplemented
60#1436C2214yescomplemented
61C4⋊#95C2212yescomplemented
62C4⋊#95C2212yescomplemented
63C22⋊#95C2214yes—
64C22⋊#95C2214yes—
65C22⋊#95C2214yes—
66C22⋊#95C2212yes—
67C22⋊#95C2214yescomplemented
68C22⋊#95C2214yescomplemented
69C26C2312yes—
70C23×Q8C2312yes—
71C23×D4—24no—
72C23×D4—24no—
73C23×D4—42no—
74C23×D4—42no—
75C23×D4—42no—
76C23×D4—42no—
77C23×D4Q818yescomplemented
78C23×D4C2312yes—
79C23×D4C2311yescharacteristic
80C23×D4C2311yescharacteristic
81C24×C4C2311yescharacteristic
82C24×C4C2312yes—
83C24×C4C2312yes—
84C24×C4C2312yes—
85C24×C4C2312yes—
86C2×C22⋊Q8—28no—
87C2×C22⋊Q8—44no—
88C2×C22⋊Q8—44no—
89C22×C4⋊C4—24no—
90C22×C4⋊C4—42no—
91C22×C4⋊C4—42no—
92C22×C4⋊C4C2312yes—
93C22×C4⋊C4C2312yes—
94C22×C4⋊C4C2311yescharacteristic
95C22×C4⋊C4C2312yes—
96C22×C4⋊C4C2314yes—
97C22×C4⋊C4C2312yes—
98C22×C4⋊C4C2312yes—
99C22×C4⋊C4C2312yes—
100C22×C4⋊C4C2311yescharacteristic
101C22×C22⋊C4—216no—
102C22×C22⋊C4—216no—
103C22×C22⋊C4—48no—
104C22×C22⋊C4—48no—
105C22×C22⋊C4—44no—
106C22×C22⋊C4C2314yes—
107C22×C22⋊C4C2314yes—
108C22×C22⋊C4C2314yes—
109C22×C22⋊C4C2314yes—
110C22×C22⋊C4C2314yes—
111C22×C22⋊C4C2314yes—
112C22×C22⋊C4C2312yes—
113C22×C22⋊C4C2314yes—
114C22×C22⋊C4C2314yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2314yes—
117C22×C22⋊C4C2314yes—
118C22×C22⋊C4C2314yes—
119C22×C22⋊C4C2314yes—
120C22×C42—24no—
121C22×C42—42no—
122C22×C42—42no—
123C22×C42C2312yes—
124C22×C42C2311yescharacteristic
125C22×C42C2311yescharacteristic
126#400—28no—
127#400—44no—
128#393—216no—
129#393—48no—
130#391—28no—
131#391—44no—
132#390—24no—
133#390—24no—
134#390—216no—
135#390—24no—
136#390D418yes—
137#386—28no—
138#386—28no—
139#386—44no—
140#386—44no—
141#385—216no—
142#385—48no—
143#380—44no—
144#380—44no—
145#379—48no—
146#379—44no—
147C2×#95C2312yes—
148C2×#95C2314yes—
149C2×#95C2314yes—
150C2×#95C2314yes—
151C2×#95C2314yes—
152C2×#95C2314yes—
153C2×#95C2314yes—
154C2×#95C2314yes—
155C2×#95C2314yes—
156C2×#95C2314yes—
157C2×#95C2314yes—
158C2×#95C2312yes—
159C2×#95C2314yes—
160C2×#95C2314yes—
161C2×#95C2314yes—
162C2×#95C2314yes—
163C2×#95C2314yes—
164C25—24no—
165C25—24no—
166C25—28no—
167C25—24no—
168C25—28no—
169C25—24no—
170C25—44no—
171C25—42no—
172C25—42no—
173C25—44no—
174C25C2×Q818yes—
175C25C2412yes—
176C25C2412yes—
177C25C2411yescharacteristic
178C22×Q8—24no—
179C22×Q8—24no—
180C22×Q8—24no—
181C22×Q8—42no—
182C22×Q8—42no—
183C22×Q8—42no—
184C22×Q8—42no—
185C22×D4—24no—
186C22×D4—24no—
187C22×D4—232no—
188C22×D4—22no—
189C22×D4—22no—
190C22×D4—24no—
191C22×D4—24no—
192C22×D4—416no—
193C22×D4—416no—
194C22×D4—41no—
195C22×D4—41no—
196C22×D4—42no—
197C22×D4—41no—
198C22×D4—41no—
199C22×D4—41no—
200C22×D4—41no—
201C22×D4—42no—
202C22×D4—41no—
203C22×D4—41no—
204C22×D4—416no—
205C22×D4—416no—
206C22×D4—416no—
207C22×D4—416no—
208C22×D4C2×D414yes—
209C22×D4C2×Q818yes—
210C22×D4C2×Q814yes—
211C22×D4C2×Q814yes—
212C22×D4#4114yes—
213C23×C4—22no—
214C23×C4—22no—
215C23×C4—22no—
216C23×C4—22no—
217C23×C4—22no—
218C23×C4—22no—
219C23×C4—24no—
220C23×C4—24no—
221C23×C4—24no—
222C23×C4—24no—
223C23×C4—28no—
224C23×C4—24no—
225C23×C4—24no—
226C23×C4—24no—
227C23×C4—24no—
228C23×C4—42no—
229C23×C4—42no—
230C23×C4—44no—
231C23×C4—42no—
232C23×C4—42no—
233C23×C4—44no—
234C23×C4—44no—
235C23×C4—42no—
236C23×C4—44no—
237C23×C4—44no—
238C23×C4—42no—
239C23×C4—42no—
240C23×C4C2×Q814yes—
241C23×C4#4118yes—
242C23×C4C2414yes—
243C23×C4C2414yes—
244C23×C4C2414yes—
245C23×C4C2412yes—
246C23×C4C2414yes—
247C23×C4C2412yes—
248C23×C4C2412yes—
249C23×C4C2411yescharacteristic
250C23×C4C2412yes—
251C23×C4C2411yescharacteristic
252C22⋊Q8—432no—
253C2×C4⋊C4—24no—
254C2×C4⋊C4—22no—
255C2×C4⋊C4—24no—
256C2×C4⋊C4—28no—
257C2×C4⋊C4—24no—
258C2×C4⋊C4—24no—
259C2×C4⋊C4—24no—
260C2×C4⋊C4—24no—
261C2×C4⋊C4—41no—
262C2×C4⋊C4—41no—
263C2×C4⋊C4—42no—
264C2×C4⋊C4—41no—
265C2×C4⋊C4—41no—
266C2×C4⋊C4—42no—
267C2×C4⋊C4—42no—
268C2×C4⋊C4—44no—
269C2×C4⋊C4—44no—
270C2×C4⋊C4—416no—
271C2×C4⋊C4—42no—
272C2×C4⋊C4—42no—
273C2×C4⋊C4—42no—
274C2×C4⋊C4—42no—
275C2×C4⋊C4—42no—
276C2×C4⋊C4—44no—
277C2×C4⋊C4—42no—
278C2×C4⋊C4—42no—
279C2×C4⋊C4C2×D414yes—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—28no—
282C2×C22⋊C4—28no—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4—28no—
287C2×C22⋊C4—28no—
288C2×C22⋊C4—28no—
289C2×C22⋊C4—28no—
290C2×C22⋊C4—28no—
291C2×C22⋊C4—28no—
292C2×C22⋊C4—28no—
293C2×C22⋊C4—28no—
294C2×C22⋊C4—28no—
295C2×C22⋊C4—28no—
296C2×C22⋊C4—24no—
297C2×C22⋊C4—24no—
298C2×C22⋊C4—28no—
299C2×C22⋊C4—464no—
300C2×C22⋊C4—44no—
301C2×C22⋊C4—44no—
302C2×C22⋊C4—44no—
303C2×C22⋊C4—44no—
304C2×C22⋊C4—44no—
305C2×C22⋊C4—432no—
306C2×C22⋊C4—44no—
307C2×C22⋊C4—44no—
308C2×C22⋊C4—44no—
309C2×C22⋊C4—44no—
310C2×C22⋊C4—44no—
311C2×C22⋊C4—42no—
312C2×C22⋊C4—42no—
313C2×C22⋊C4—44no—
314C2×C22⋊C4—44no—
315C2×C22⋊C4—44no—
316C2×C22⋊C4—44no—
317C2×C22⋊C4—42no—
318C2×C22⋊C4—42no—
319C2×C22⋊C4—44no—
320C2×C22⋊C4—44no—
321C2×C22⋊C4—44no—
322C2×C22⋊C4—44no—
323C2×C22⋊C4C2×D4116yes—
324C2×C42—24no—
325C2×C42—22no—
326C2×C42—24no—
327C2×C42—41no—
328C2×C42—41no—
329C2×C42—42no—
330C2×C42—41no—
331C2×C42—41no—
332C2×C42—416no—
333C2×C42C2×D414yes—
334#95—28no—
335#95—28no—
336#95—28no—
337#95—24no—
338#95—28no—
339#95—28no—
340#95—28no—
341#95—28no—
342#95—44no—
343#95—44no—
344#95—44no—
345#95—44no—
346#95—44no—
347#95—44no—
348#95—44no—
349#95—42no—
350#95—44no—
351C24—21no—
352C24—21no—
353C24—21no—
354C24—21no—
355C24—22no—
356C24—22no—
357C24—24no—
358C24—24no—
359C24—24no—
360C24—22no—
361C24—22no—
362C24—22no—
363C24—22no—
364C24—24no—
365C24—216no—
366C24—22no—
367C24—24no—
368C24—22no—
369C24—24no—
370C24—24no—
371C24—22no—
372C24—22no—
373C24—22no—
374C24—22no—
375C24—24no—
376C24—216no—
377C24—232no—
378C24—48no—
379C24—416no—
380C24—416no—
381C24—48no—
382C24—48no—
383C24—48no—
384C24—48no—
385C24—416no—
386C24—416no—
387C24—416no—
388C24—416no—
389C24—48no—
390C24—48no—
391C24—88no—
392C24—88no—
393C24—88no—
394C24—88no—
395C24—84no—
396C24—84no—
397C24—88no—
398C24C22×D414yes—
399C24C22×Q814yes—
400C24C22×Q814yes—
401C24C22×Q812yes—
402C24C2×#4114yes—
403C24C2×#4114yes—
404C24H(5,𝔽2)12yes—
405C24H(5,𝔽2)14yes—
406C24H(5,𝔽2)12yes—
407C24C2511yescharacteristic
408C2×Q8—48no—
409C2×Q8—48no—
410C2×Q8—48no—
411C2×Q8—84no—
412C2×Q8—84no—
413C2×Q8—84no—
414C2×Q8—84no—
415C2×D4—216no—
416C2×D4—28no—
417C2×D4—216no—
418C2×D4—44no—
419C2×D4—44no—
420C2×D4—44no—
421C2×D4—44no—
422C2×D4—48no—
423C2×D4—44no—
424C2×D4—44no—
425C2×D4—44no—
426C2×D4—44no—
427C2×D4—48no—
428C2×D4—48no—
429C2×D4—48no—
430C2×D4—48no—
431C2×D4—4128no—
432C2×D4—44no—
433C2×D4—44no—
434C2×D4—44no—
435C2×D4—44no—
436C2×D4C22⋊Q8116yescomplemented
437C22×C4—28no—
438C22×C4—28no—
439C22×C4—28no—
440C22×C4—28no—
441C22×C4—28no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—216no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—216no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—24no—
484C22×C4—22no—
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—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—24no—
501C22×C4—48no—
502C22×C4—48no—
503C22×C4—48no—
504C22×C4—48no—
505C22×C4—48no—
506C22×C4—416no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—48no—
511C22×C4—88no—
512C22×C4—84no—
513C22×C4—84no—
514C22×C4—88no—
515C22×C4—84no—
516C22×C4—88no—
517C22×C4—88no—
518C22×C4—84no—
519C22×C4—84no—
520C22×C4—88no—
521C22×C4C22×D414yes—
522C22×C4C22×D412yes—
523C22×C4C22×D414yes—
524C22×C4C22×Q812yes—
525C22×C4C22×Q812yes—
526C22×C4C2×#4114yes—
527C22×C4C2×#4112yes—
528C22×C4C2×#4114yes—
529C22×C4H(5,𝔽2)12yes—
530C22×C4H(5,𝔽2)12yes—
531C22×C4H(5,𝔽2)14yes—
532C4⋊C4—44no—
533C4⋊C4—48no—
534C4⋊C4—44no—
535C4⋊C4—48no—
536C4⋊C4—416no—
537C4⋊C4—84no—
538C4⋊C4—84no—
539C4⋊C4—84no—
540C4⋊C4—84no—
541C22⋊C4—232no—
542C22⋊C4—416no—
543C22⋊C4—416no—
544C22⋊C4—416no—
545C22⋊C4—416no—
546C22⋊C4—416no—
547C22⋊C4—416no—
548C22⋊C4—84no—
549C22⋊C4—88no—
550C22⋊C4—84no—
551C22⋊C4—88no—
552C22⋊C4—88no—
553C22⋊C4—88no—
554C22⋊C4—88no—
555C42—44no—
556C42—48no—
557C42—44no—
558C23—22no—
559C23—22no—
560C23—24no—
561C23—24no—
562C23—22no—
563C23—22no—
564C23—24no—
565C23—22no—
566C23—22no—
567C23—24no—
568C23—24no—
569C23—24no—
570C23—24no—
571C23—24no—
572C23—24no—
573C23—22no—
574C23—22no—
575C23—24no—
576C23—24no—
577C23—24no—
578C23—28no—
579C23—28no—
580C23—28no—
581C23—24no—
582C23—24no—
583C23—28no—
584C23—24no—
585C23—24no—
586C23—28no—
587C23—28no—
588C23—24no—
589C23—24no—
590C23—24no—
591C23—28no—
592C23—28no—
593C23—432no—
594C23—464no—
595C23—44no—
596C23—42no—
597C23—44no—
598C23—44no—
599C23—42no—
600C23—44no—
601C23—44no—
602C23—42no—
603C23—42no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—44no—
612C23—42no—
613C23—42no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—42no—
618C23—44no—
619C23—44no—
620C23—42no—
621C23—42no—
622C23—44no—
623C23—432no—
624C23—816no—
625C23—832no—
626C23—816no—
627C23—816no—
628C23—832no—
629C23—832no—
630C23—816no—
631C23—816no—
632C23C2×C22⋊Q818yes—
633C23#53818yes—
634C23#54314yes—
635C23#55418yes—
636C23#55914yes—
637C23H(3,𝔽4)14yes—
638C23C23×D411yescharacteristic
639C23C23×Q811yescharacteristic
640C23C22×#4111yescharacteristic
641C23C22×#4112yes—
642C23C2×H(5,𝔽2)11yescharacteristic
643C23C2×H(5,𝔽2)12yes—
644C23C2×H(5,𝔽2)11yescharacteristic
645C23C2×H(5,𝔽2)11yescharacteristic
646C23C2×H(5,𝔽2)11yescharacteristic
647C23C2×H(5,𝔽2)12yes—
648C23#58512yes—
649Q8—816no—
650D4—416no—
651D4—432no—
652D4—416no—
653C2×C4—232no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—24no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—24no—
673C2×C4—28no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—432no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—44no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—44no—
713C2×C4—42no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—816no—
719C2×C4—816no—
720C2×C4—816no—
721C2×C4C2×C22⋊Q814yes—
722C2×C4#54314yes—
723C2×C4#54618yes—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—28no—
728C22—28no—
729C22—28no—
730C22—28no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—216no—
735C22—28no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—44no—
740C22—48no—
741C22—48no—
742C22—48no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—44no—
747C22—48no—
748C22—48no—
749C22—44no—
750C22—864no—
751C22—82no—
752C22—82no—
753C22—84no—
754C22—84no—
755C22—82no—
756C22—82no—
757C22#280418yescomplemented
758C22C22×C22⋊Q811yescharacteristic
759C22C2×#53812yes—
760C22C2×#54311yescharacteristic
761C22C2×#54311yescharacteristic
762C22C2×#54612yes—
763C22C2×#55412yes—
764C22#347512yes—
765C22C2×#55911yescharacteristic
766C22#348411yescharacteristic
767C22#348411yescharacteristic
768C22#348812yes—
769C22#349011yescharacteristic
770C22#349011yescharacteristic
771C22#350112yes—
772C22#350512yes—
773C22#350812yes—
774C22#351912yes—
775C22C2×H(3,𝔽4)11yescharacteristic
776C22#353412yes—
777C22#353712yes—
778C22#354311yescharacteristic
779C22#354511yescharacteristic
780C22#355812yes—
781C4—28no—
782C4—24no—
783C4—24no—
784C4—44no—
785C4—44no—
786C4—82no—
787C4—84no—
788C4—84no—
789C4—84no—
790C4—84no—
791C2—28no—
792C2—48no—
793C2—84no—
794C2#3498211yescharacteristic
795C2#3615412yes—
796C2#3713411yescharacteristic
797C2#3769312yes—
798C2#3846612yes—
799C2#3949512yes—
800C2#4597711yescharacteristic
801C2#4608911yescharacteristic
802C2C2×#280411yescharacteristic
803C2#5914311yescharacteristic
804C2#5986111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC24×D4C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2804C2semidirect
3. #17077C2semidirect
4. #16599C2semidirect
5. #15331C2semidirect
6. #15329C2semidirect
7. #14822C2semidirect
8. #14717C2semidirect
9. #14702C2semidirect
10. #14513C2semidirect
11. #14440C2semidirect
12. #13877C2semidirect
21. C2×#400C22semidirect
22. C2×#400C22semidirect
23. C2×#393C22semidirect
24. C2×#393C22semidirect
25. C2×#391C22semidirect
26. C2×#391C22semidirect
37. C2×#385C22semidirect
38. C2×#385C22semidirect
43. #1442C22semidirect
44. #1442C22semidirect
45. #1441C22semidirect
46. #1441C22semidirect
47. #1439C22semidirect
48. #1439C22semidirect
49. #1439C22semidirect
50. #1439C22semidirect
51. #1439C22semidirect
52. #1439C22semidirect
53. #1439C22semidirect
54. #1439C22semidirect
55. #1439C22semidirect
56. #1439C22semidirect
59. #1436C22semidirect
60. #1436C22semidirect
61. C4⋊#95C22semidirect
62. C4⋊#95C22semidirect
67. C22⋊#95C22semidirect
68. C22⋊#95C22semidirect
77. C23×D4Q8semidirect
436. C2×D4C22⋊Q8semidirect
757. C22#2804semidirect

Maximal subgroups

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

subgroupindex
C2×#28042
C22×#3902
#170772
#165992
#153312
#153292
#148222
#147172
#147022
#145132
#144402
#138772
#138672