Finite Group Databasebeta

← #370552

Subgroups — #370552

Order 512.

1284 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3083C211yesmaximal, characteristic
2#21315C211yesmaximal, characteristic, complemented
3C2×#1866C211yesmaximal, characteristic
4#20415C211yesmaximal, characteristic
5#20348C211yesmaximal, characteristic
6#11392C211yesmaximal, characteristic, complemented
7#11377C211yesmaximal, characteristic, complemented
8#11242C211yesmaximal, characteristic, complemented
9#11216C211yesmaximal, characteristic, complemented
10#10899C211yesmaximal, characteristic, complemented
11#10887C211yesmaximal, characteristic, complemented
12#10870C211yesmaximal, characteristic, complemented
13#10781C211yesmaximal, characteristic
14#10781C211yesmaximal, characteristic
15#10774C211yesmaximal, characteristic
16C22×#131C2211yescharacteristic
17C2×#544C2211yescharacteristic
18C2×#520C2211yescharacteristic
19C2×#520C2211yescharacteristic
20#3083—24no—
21#3083C418yescomplemented
22C2×#479—21no—
23C2×#477—21no—
24C2×#478—21no—
25C2×#474—21no—
26C22×#108C2211yescharacteristic
27C2×#428C2211yescharacteristic
28C22×#107C2211yescharacteristic
29C2×#424C2211yescharacteristic
30C2×#424C2211yescharacteristic
31C22×#104C2211yescharacteristic
32C2×#417C2211yescharacteristic
33C2×#417C2211yescharacteristic
34C2×#416C2211yescharacteristic
35C2×#405C2211yescharacteristic
36#2274C2211yescharacteristic
37#1989—21no—
38#1989—21no—
39#1988—21no—
40#1987—21no—
41#1866—24no—
42#1763—21no—
43#1762—21no—
44C4×#103—21no—
45C4×#102—21no—
46C2×#343C2211yescharacteristic
47C2×#343C2211yescharacteristic
48C2×#343C2211yescharacteristic
49C2×#343C2211yescharacteristic
50C2×#341C2211yescharacteristic
51#1736—21no—
52#1736—21no—
53#1736C2211yescharacteristic
54#1736C2211yescharacteristic
55#1736C2211yescharacteristic
56#1736C2211yescharacteristic
57#1736C2211yescharacteristic
58#1735—21no—
59#1735C2211yescharacteristic
60C2×#340—21no—
61C2×#340C2211yescharacteristic
62C2×#340C2211yescharacteristic
63C2×#340C2211yescharacteristic
64C2×#339C2211yescharacteristic
65C2×#339C2211yescharacteristic
66C2×#339C2211yescharacteristic
67C2×#336C2211yescharacteristic
68C4⋊#95C2211yescharacteristic
69C4⋊#95C2211yescharacteristic
70C22×#41C2311yescharacteristic
71C2×#131—22no—
72C2×#131—22no—
73C2×#131—22no—
74C2×#131—22no—
75C2×#131—41no—
76C2×#131—41no—
77C22×M16—21no—
78C22×M16C2311yescharacteristic
79C22×M16C2311yescharacteristic
80C22×M16C2311yescharacteristic
81C22×M16C2311yescharacteristic
82C23×C8—21no—
83C23×C8C2311yescharacteristic
84C23×C8C2311yescharacteristic
85#544—22no—
86#544—22no—
87#544—41no—
88#544C2×C414yescomplemented
89C2×C4⋊Q8—21no—
90C2×C4⋊Q8—21no—
91C2×#125—21no—
92C2×#125—21no—
93C2×C22⋊Q8—41no—
94#520—22no—
95#520—22no—
96#520—22no—
97#520—22no—
98#520—41no—
99#520—41no—
100#520C2×C414yes—
101#520Q814yescomplemented
102C2×C4×Q8—21no—
103C2×C4×Q8—21no—
104C2×C4×D4—21no—
105C2×C4×D4—21no—
106C2×C4×D4—41no—
107C2×C4×D4—41no—
108C2×#117—21no—
109C2×#117—21no—
110C2×#117C2311yescharacteristic
111C2×#117C2311yescharacteristic
112C2×#117C2311yescharacteristic
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4C2311yescharacteristic
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C42C2311yescharacteristic
120#479—28no—
121#478—28no—
122#477—28no—
123#474—28no—
124C2×#108—22no—
125C2×#108—22no—
126C2×#108—41no—
127#428—22no—
128#428C2×C414yescomplemented
129C2×#107—21no—
130C2×#107—21no—
131C2×#107—22no—
132C2×#107—21no—
133C2×#107C2×C414yescomplemented
134C2×#106—21no—
135#424—22no—
136#424—22no—
137#424—41no—
138#424C2×C414yescomplemented
139C2×C4⋊C8—21no—
140C2×C4⋊C8—21no—
141C2×C4⋊C8—21no—
142C2×C4⋊C8—21no—
143C2×#104—22no—
144C2×#104—22no—
145C2×#104—22no—
146#417—22no—
147#417—22no—
148#417C2×C414yes—
149#417Q814yescomplemented
150#416C2×C414yes—
151#416D414yes—
152C2×#103—21no—
153C2×#103—21no—
154C2×#103D411yescharacteristic
155C2×#103D411yescharacteristic
156C2×#102—21no—
157C2×#102—21no—
158C2×#102D411yescharacteristic
159C2×#102D411yescharacteristic
160#405—22no—
161#405—41no—
162C2×#97—21no—
163C2×C4×C8—21no—
164C4×C4⋊C4—21no—
165C4×C4⋊C4—21no—
166C4×C4⋊C4—21no—
167C4×C4⋊C4—21no—
168C4×C22⋊C4—41no—
169C2×#95—41no—
170C2×#95—41no—
171#343—22no—
172#343—41no—
173#343—41no—
174#343—41no—
175#341—41no—
176#340—21no—
177#340—21no—
178#340—21no—
179#340—21no—
180#340—21no—
181#340—21no—
182#340—21no—
183#340—21no—
184#340—21no—
185#340—21no—
186#340—21no—
187#340—21no—
188#340—21no—
189#340—21no—
190#340—21no—
191#340—21no—
192#340D411yescharacteristic
193#340D411yescharacteristic
194#340D411yescharacteristic
195#340D411yescharacteristic
196#339—22no—
197#339—22no—
198#339—22no—
199#336—22no—
200C2×#41—21no—
201C2×#41—21no—
202C2×#41—21no—
203C2×#41—21no—
204C2×#41—21no—
205C2×#41—21no—
206C2×#41C22×C412yes—
207C2×#41C2×D412yes—
208C2×#41C2×Q812yes—
209C2×#41C2×Q812yes—
210C2×#41#4112yes—
211C2×#41#4112yes—
212C22×Q8—41no—
213C22×Q8C2×D411yescharacteristic
214C22×D4—21no—
215C22×D4C2×D411yescharacteristic
216C23×C4—21no—
217C23×C4—21no—
218C23×C4—21no—
219C23×C4—21no—
220C23×C4—21no—
221C23×C4—21no—
222C23×C4—41no—
223C23×C4—41no—
224C23×C4C2411yescharacteristic
225#131—44no—
226#131—44no—
227#131—44no—
228#131—44no—
229C2×M16—24no—
230C2×M16—21no—
231C2×M16—21no—
232C2×M16—21no—
233C2×M16—21no—
234C2×M16—21no—
235C2×M16—21no—
236C2×M16—21no—
237C2×M16—21no—
238C2×M16—21no—
239C2×M16—21no—
240C2×M16—21no—
241C2×M16—21no—
242C2×M16—21no—
243C2×M16—21no—
244C2×M16—21no—
245C2×M16—21no—
246C2×M16—21no—
247C2×M16—21no—
248C2×M16—21no—
249C2×M16—21no—
250C2×M16—21no—
251C2×M16—42no—
252C2×M16—42no—
253C2×M16C22×C412yes—
254C2×M16C2×Q812yes—
255C2×M16#4112yes—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—21no—
259C22×C8—21no—
260C22×C8—24no—
261C22×C8—21no—
262C22×C8—21no—
263C22×C8—21no—
264C22×C8—21no—
265C22×C8—21no—
266C22×C8—21no—
267C22×C8—21no—
268C22×C8—21no—
269C22×C8—21no—
270C22×C8—21no—
271C22×C8—42no—
272C22×C8—42no—
273C22×C8C22×C412yes—
274C22×C8C2×D411yescharacteristic
275C22×C8C2×D411yescharacteristic
276C22×C8C2×D412yes—
277C22×C8C2×D411yescharacteristic
278C22×C8C2×D411yescharacteristic
279C4⋊Q8—24no—
280C4⋊Q8—24no—
281C4⋊Q8—42no—
282C4⋊Q8—42no—
283#125—24no—
284#125—24no—
285#125—42no—
286#125—42no—
287C22⋊Q8—44no—
288C22⋊Q8—44no—
289C4×Q8—24no—
290C4×Q8—24no—
291C4×Q8—42no—
292C4×Q8—42no—
293C4×D4—24no—
294C4×D4—24no—
295C4×D4—42no—
296C4×D4—42no—
297C4×D4—44no—
298C4×D4—44no—
299C4×D4—44no—
300C4×D4—44no—
301#117—21no—
302#117—21no—
303#117—21no—
304#117—21no—
305#117—21no—
306#117—21no—
307#117—24no—
308#117—24no—
309#117—42no—
310#117—42no—
311#117C22×C412yes—
312#117C22×C412yes—
313#117C2×D412yes—
314#117C2×Q812yes—
315#117#4112yes—
316#117#4112yes—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—24no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—41no—
342C2×C4⋊C4—41no—
343C2×C4⋊C4—41no—
344C2×C4⋊C4—41no—
345C2×C4⋊C4—41no—
346C2×C4⋊C4C22×C412yes—
347C2×C4⋊C4C22×C412yes—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2×D411yescharacteristic
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2×D411yescharacteristic
354C2×C4⋊C4C2×Q812yes—
355C2×C4⋊C4C2×Q812yes—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—41no—
360C2×C22⋊C4—41no—
361C2×C42—21no—
362C2×C42—21no—
363C2×C42—21no—
364C2×C42—21no—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—21no—
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—41no—
371C2×C42—41no—
372C2×C42—41no—
373C2×C42—41no—
374#108—44no—
375#107—24no—
376#107—24no—
377#107—24no—
378#106—24no—
379C4⋊C8—24no—
380C4⋊C8—24no—
381C4⋊C8—42no—
382C4⋊C8—42no—
383#104—44no—
384#103—24no—
385#103—24no—
386#103C22⋊C414yes—
387#103C22⋊C414yes—
388#102—24no—
389#102—24no—
390#102C22⋊C414yes—
391#102C22⋊C414yes—
392#97—42no—
393C4×C8—42no—
394#95—41no—
395#95—41no—
396#95—82no—
397#95—82no—
398C24—21no—
399C24H(5,𝔽2)11yescharacteristic
400#41—22no—
401#41—22no—
402#41—22no—
403#41—22no—
404#41—22no—
405#41—22no—
406#41—22no—
407#41—22no—
408#41—22no—
409#41—22no—
410#41—22no—
411#41—22no—
412#41C4×Q814yes—
413#41C4×Q814yes—
414#41#12414yes—
415#41C4⋊Q814yes—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8—44no—
420C2×Q8—161no—
421C2×Q8—161no—
422C2×Q8C2×C22⋊C412yes—
423C2×Q8C22⋊Q812yes—
424C2×Q8C22⋊Q812yes—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—22no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—21no—
434C2×D4C2×C22⋊C412yes—
435C2×D4C22⋊Q812yes—
436C2×D4C22⋊Q812yes—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—44no—
456C22×C4—44no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—41no—
471C22×C4—81no—
472C22×C4—81no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4—81no—
476C22×C4—81no—
477C22×C4—81no—
478C22×C4—81no—
479C22×C4—161no—
480C22×C4—161no—
481C22×C4—161no—
482C22×C4—161no—
483C22×C4C23×C411yescharacteristic
484C22×C4C22×D411yescharacteristic
485C22×C4C22×D411yescharacteristic
486C22×C4C22×D411yescharacteristic
487C22×C4C22×Q811yescharacteristic
488C22×C4C22×Q811yescharacteristic
489C22×C4C2×#4111yescharacteristic
490C22×C4C2×#4111yescharacteristic
491C22×C4C2×#4111yescharacteristic
492C22×C4C2×#4111yescharacteristic
493C22×C4C2×#4111yescharacteristic
494C22×C4H(5,𝔽2)11yescharacteristic
495C22×C4H(5,𝔽2)11yescharacteristic
496C22×C42−1+411yescharacteristic
497M16—22no—
498M16—22no—
499M16—22no—
500M16—22no—
501M16—22no—
502M16—22no—
503M16—48no—
504M16—41no—
505M16—41no—
506M16—41no—
507M16—41no—
508M16—41no—
509M16—41no—
510M16—41no—
511M16—41no—
512M16—41no—
513M16—41no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—22no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—21no—
525C2×C8—22no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—48no—
532C2×C8—41no—
533C2×C8—41no—
534C2×C8—41no—
535C2×C8—41no—
536C2×C8—41no—
537C2×C8—41no—
538C2×C8—41no—
539C2×C8—41no—
540C2×C8—41no—
541C2×C8—41no—
542C2×C8—41no—
543C2×C8—41no—
544C2×C8—41no—
545C2×C8C2×C22⋊C412yes—
546C2×C8C2×C22⋊C412yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—41no—
567C4⋊C4—41no—
568C4⋊C4—41no—
569C4⋊C4—41no—
570C4⋊C4—41no—
571C4⋊C4—41no—
572C4⋊C4—41no—
573C4⋊C4—41no—
574C4⋊C4C2×C22⋊C412yes—
575C4⋊C4C2×C22⋊C412yes—
576C4⋊C4C4×D412yes—
577C4⋊C4C4×D412yes—
578C4⋊C4C22⋊Q812yes—
579C4⋊C4C22⋊Q812yes—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—44no—
595C42—44no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—161no—
601C42—161no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23#51811yescharacteristic
614C23#53911yescharacteristic
615C23#54311yescharacteristic
616C23D4211yescharacteristic
617C23#54611yescharacteristic
618C23#55111yescharacteristic
619C23#55411yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—22no—
623Q8—164no—
624Q8#39114yes—
625D4—24no—
626D4—24no—
627D4—24no—
628D4—24no—
629D4—22no—
630D4—22no—
631D4—22no—
632D4#39114yes—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—24no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—81no—
666C2×C4—81no—
667C2×C4—81no—
668C2×C4—81no—
669C2×C4—81no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—81no—
677C2×C4—82no—
678C2×C4—82no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—164no—
682C2×C4—164no—
683C2×C4—161no—
684C2×C4—161no—
685C2×C4—161no—
686C2×C4—161no—
687C2×C4C22×C22⋊C411yescharacteristic
688C2×C4C2×C4×D411yescharacteristic
689C2×C4C2×C4×Q811yescharacteristic
690C2×C4C2×C4×Q811yescharacteristic
691C2×C4C4×#4111yescharacteristic
692C2×C4#52011yescharacteristic
693C2×C4C2×C22⋊Q811yescharacteristic
694C2×C4C2×C22⋊Q811yescharacteristic
695C2×C4C2×C22⋊Q811yescharacteristic
696C2×C4#52511yescharacteristic
697C2×C4C2×#12411yescharacteristic
698C2×C4#52911yescharacteristic
699C2×C4C2×C4⋊Q811yescharacteristic
700C2×C4#53311yescharacteristic
701C2×C4#53811yescharacteristic
702C2×C4#54411yescharacteristic
703C2×C4D4211yescharacteristic
704C2×C4#54611yescharacteristic
705C2×C4#54611yescharacteristic
706C2×C4#54611yescharacteristic
707C2×C4#54611yescharacteristic
708C2×C4#54711yescharacteristic
709C2×C4#54711yescharacteristic
710C2×C4D4×Q811yescharacteristic
711C2×C4#55111yescharacteristic
712C2×C4#55211yescharacteristic
713C2×C4#55411yescharacteristic
714C2×C4#55411yescharacteristic
715C8—22no—
716C8—22no—
717C8—42no—
718C8—42no—
719C8—41no—
720C8—41no—
721C8—42no—
722C8—81no—
723C22—21no—
724C22—21no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—24no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22#232911yescharacteristic
743C22D4×C22⋊C411yescharacteristic
744C22#236811yescharacteristic
745C22#243711yescharacteristic
746C22#244911yescharacteristic
747C22#248811yescharacteristic
748C22#254911yescharacteristic
749C22#328811yescharacteristic
750C22#328811yescharacteristic
751C22#329011yescharacteristic
752C22#329311yescharacteristic
753C4—24no—
754C4—42no—
755C4—42no—
756C4—42no—
757C4—42no—
758C4—42no—
759C4—42no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4C2×#39111yescharacteristic
766C4C4×C22⋊Q811yescharacteristic
767C4#233911yescharacteristic
768C4#236011yescharacteristic
769C4#243811yescharacteristic
770C4#244011yescharacteristic
771C4#245011yescharacteristic
772C4#247211yescharacteristic
773C2—21no—
774C2—21no—
775C2—21no—
776C2—21no—
777C2—44no—
778C2#1405211yescharacteristic
779C2#2246311yescharacteristic
780C2#2246811yescharacteristic
781C2#2598411yescharacteristic
782C2#2598711yescharacteristic
783C2#2640211yescharacteristic
784C2#2640611yescharacteristic
subgroupG/H
center, socleC23D42
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #21315C2semidirect
6. #11392C2semidirect
7. #11377C2semidirect
8. #11242C2semidirect
9. #11216C2semidirect
10. #10899C2semidirect
11. #10887C2semidirect
12. #10870C2semidirect
21. #3083C4semidirect
88. #544C2×C4semidirect
101. #520Q8semidirect
128. #428C2×C4semidirect
133. C2×#107C2×C4semidirect
138. #424C2×C4semidirect
149. #417Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#30832
#213152
C2×#18662
#204152
#203482
#113922
#113772
#112422
#112162
#108992
#108872
#108702
#107812
#107742