Finite Group Databasebeta

← #390559

Subgroups — #390559

Order 512.

986 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23451C211yesmaximal, characteristic
2C2×#1995C211yesmaximal, characteristic, complemented
3#21304C211yesmaximal, characteristic, complemented
4C2×#1866C211yesmaximal, characteristic
5#20839C211yesmaximal, characteristic
6#11329C211yesmaximal, characteristic, complemented
7#11326C211yesmaximal, characteristic, complemented
8#11291C211yesmaximal, characteristic, complemented
9#11258C211yesmaximal, characteristic, complemented
10#11125C211yesmaximal, characteristic
11#10934C211yesmaximal, characteristic
12#10924C211yesmaximal, characteristic
13#10809C211yesmaximal, characteristic, complemented
14#10796C211yesmaximal, characteristic, complemented
15#10791C211yesmaximal, characteristic
16C22×#131C2211yescharacteristic
17C2×#533C2211yescharacteristic
18C22×#108C2211yescharacteristic
19C22×#108C2211yescharacteristic
20C2×#424C2211yescharacteristic
21C2×#424C2211yescharacteristic
22C2×#423C2211yescharacteristic
23C22×#104C2211yescharacteristic
24C22×#104C2211yescharacteristic
25C2×#416C2211yescharacteristic
26C2×#416C2211yescharacteristic
27C2×#408C2211yescharacteristic
28C2×#405C2211yescharacteristic
29#2297C2211yescharacteristic
30C2×#376C2211yescharacteristic
31#2026C411yescharacteristic, complemented
32#2026C411yescharacteristic, complemented
33#2025C411yescharacteristic, complemented
34#2025C411yescharacteristic, complemented
35#2024C411yescharacteristic, complemented
36#2024C411yescharacteristic, complemented
37#2023C411yescharacteristic, complemented
38#2023C411yescharacteristic, complemented
39#1995—24no—
40#1985—21no—
41#1985—21no—
42#1984—21no—
43#1984—21no—
44#1866—24no—
45#1851—21no—
46#1851—21no—
47#1850—21no—
48#1850—21no—
49C2×#341C2211yescharacteristic
50C2×#341C2211yescharacteristic
51#1735C2211yescharacteristic
52#1735C2211yescharacteristic
53C2×#339C2211yescharacteristic
54C2×#339C2211yescharacteristic
55C2×#339C2211yescharacteristic
56C2×#339C2211yescharacteristic
57C2×#339C2211yescharacteristic
58C2×#339C2211yescharacteristic
59#1729C2211yescharacteristic
60#1729C2211yescharacteristic
61#1729C2211yescharacteristic
62#1728C2211yescharacteristic
63C2×#336C2211yescharacteristic
64C2×#336C2211yescharacteristic
65C2×#336C2211yescharacteristic
66C2×#336C2211yescharacteristic
67C2×#336C2211yescharacteristic
68C2×#336C2211yescharacteristic
69C22×#41C2311yescharacteristic
70C2×#131—22no—
71C2×#131—22no—
72C2×#131—41no—
73C2×#131—41no—
74C2×#131—41no—
75C2×#131—41no—
76C22×M16—21no—
77C22×M16C2311yescharacteristic
78C22×M16C2311yescharacteristic
79C22×M16C2311yescharacteristic
80C22×M16C2311yescharacteristic
81C23×C8—21no—
82C23×C8C2311yescharacteristic
83C23×C8C2311yescharacteristic
84C23×C8C2311yescharacteristic
85C23×C8C2311yescharacteristic
86#533—22no—
87#533—22no—
88#533—41no—
89#533—41no—
90C2×C4⋊Q8C2×C411yescharacteristic
91C2×C4⋊Q8C2×C411yescharacteristic
92C2×#125C2×C411yescharacteristic
93C2×#125C2×C411yescharacteristic
94C2×C22⋊Q8—21no—
95C2×C22⋊Q8—21no—
96C2×C4×Q8—21no—
97C2×C4×Q8—21no—
98C2×#117C2311yescharacteristic
99C2×#117C2311yescharacteristic
100C2×#117C2311yescharacteristic
101C22×C42C2311yescharacteristic
102C22×C42C2311yescharacteristic
103C22×C42C2311yescharacteristic
104C2×#108—22no—
105C2×#108—41no—
106C2×#108—41no—
107C2×#108—41no—
108C2×#108—41no—
109C2×#108—41no—
110#424—22no—
111#424—41no—
112#424—41no—
113#424—41no—
114#423—22no—
115#423—41no—
116C2×C4⋊C8—21no—
117C2×C4⋊C8—21no—
118C2×C4⋊C8—21no—
119C2×C4⋊C8—21no—
120C2×C4⋊C8—21no—
121C2×C4⋊C8—21no—
122C2×#104—22no—
123C2×#104—22no—
124C2×#104—41no—
125C2×#104—41no—
126C2×#104—41no—
127C2×#104Q814yescomplemented
128#416—22no—
129#416—22no—
130#416—41no—
131#416—41no—
132C2×#103C2×C411yescharacteristic
133C2×#103C2×C411yescharacteristic
134C2×#103C2×C411yescharacteristic
135C2×#103C2×C411yescharacteristic
136C2×#102C2×C411yescharacteristic
137C2×#102C2×C411yescharacteristic
138C2×#102C2×C411yescharacteristic
139C2×#102C2×C411yescharacteristic
140#408—22no—
141#408—41no—
142C2×C22⋊C8—21no—
143C2×C22⋊C8—21no—
144#405—22no—
145#405—41no—
146C2×#97—21no—
147C2×C4×C8—21no—
148#391C2×C411yescharacteristic
149#391C2×C411yescharacteristic
150#390C2×C411yescharacteristic
151#390C2×C411yescharacteristic
152#386—21no—
153#386—21no—
154C4×C22⋊C4—21no—
155C4×C22⋊C4—21no—
156#376—22no—
157#376—41no—
158C2×#95—21no—
159C2×#95—21no—
160#341—41no—
161#341—41no—
162#340C2×C411yescharacteristic
163#340C2×C411yescharacteristic
164#340C2×C411yescharacteristic
165#340C2×C411yescharacteristic
166#340C2×C411yescharacteristic
167#340C2×C411yescharacteristic
168#340C2×C411yescharacteristic
169#340C2×C411yescharacteristic
170#339—22no—
171#339—22no—
172#339—22no—
173#339—41no—
174#339—41no—
175#339D414yes—
176#336—21no—
177#336—21no—
178#336—21no—
179#336—21no—
180#336—21no—
181#336—21no—
182#336—22no—
183#336—21no—
184#336—21no—
185#336—41no—
186#336—41no—
187#336—41no—
188#336C2×C411yescharacteristic
189#336C2×C411yescharacteristic
190#336C2×C411yescharacteristic
191#336C2×C411yescharacteristic
192#336D411yescharacteristic
193#336D411yescharacteristic
194#336D411yescharacteristic
195#336D411yescharacteristic
196C2×#41—21no—
197C2×#41—21no—
198C2×#41—21no—
199C2×#41—21no—
200C2×#41—21no—
201C2×#41—21no—
202C2×#41—21no—
203C2×#41—21no—
204C2×#41—21no—
205C2×#41—21no—
206C2×#41C2×Q812yes—
207C2×#41#4112yes—
208C22×Q8—21no—
209C22×Q8—21no—
210C22×Q8C22×C411yescharacteristic
211C22×D4—21no—
212C22×D4C22×C411yescharacteristic
213C23×C4—21no—
214C23×C4—21no—
215C23×C4—21no—
216C23×C4#4111yescharacteristic
217C23×C4#4111yescharacteristic
218C23×C4C2411yescharacteristic
219#131—44no—
220#131—44no—
221#131—44no—
222#131—44no—
223C2×M16—21no—
224C2×M16—21no—
225C2×M16—21no—
226C2×M16—21no—
227C2×M16—21no—
228C2×M16—21no—
229C2×M16—21no—
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—42no—
246C2×M16—42no—
247C2×M16—42no—
248C2×M16C2×D412yes—
249C2×M16C2×Q812yes—
250C22×C8—21no—
251C22×C8—21no—
252C22×C8—21no—
253C22×C8—21no—
254C22×C8—21no—
255C22×C8—21no—
256C22×C8—21no—
257C22×C8—21no—
258C22×C8—21no—
259C22×C8—21no—
260C22×C8—21no—
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—21no—
272C22×C8—21no—
273C22×C8—21no—
274C22×C8—21no—
275C22×C8—21no—
276C22×C8—21no—
277C22×C8—21no—
278C22×C8—42no—
279C22×C8—42no—
280C22×C8—42no—
281C22×C8C22×C411yescharacteristic
282C22×C8C22×C411yescharacteristic
283C22×C8C22×C411yescharacteristic
284C22×C8C22×C411yescharacteristic
285C22×C8C2×D411yescharacteristic
286C22×C8C2×D411yescharacteristic
287C22×C8C2×D411yescharacteristic
288C22×C8C2×D411yescharacteristic
289C4⋊Q8—22no—
290C4⋊Q8—22no—
291C4⋊Q8—41no—
292C4⋊Q8—41no—
293#125—22no—
294#125—22no—
295#125—41no—
296#125—41no—
297C22⋊Q8—42no—
298C22⋊Q8—42no—
299C22⋊Q8—42no—
300C22⋊Q8—42no—
301C4×Q8—42no—
302C4×Q8—42no—
303C4×Q8—42no—
304C4×Q8—42no—
305#117—21no—
306#117—21no—
307#117—21no—
308#117—21no—
309#117—21no—
310#117—21no—
311#117—21no—
312#117—21no—
313#117—21no—
314#117—21no—
315#117C2×D412yes—
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⋊C4C22×C411yescharacteristic
324C2×C4⋊C4C22×C411yescharacteristic
325C2×C4⋊C4C22×C411yescharacteristic
326C2×C4⋊C4C22×C411yescharacteristic
327C2×C4⋊C4C22×C411yescharacteristic
328C2×C4⋊C4C22×C411yescharacteristic
329C2×C22⋊C4—21no—
330C2×C22⋊C4—21no—
331C2×C22⋊C4—21no—
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—21no—
336C2×C42—21no—
337C2×C42—21no—
338C2×C42—21no—
339C2×C42—21no—
340C2×C42—21no—
341C2×C42—21no—
342C2×C42—21no—
343C2×C42—21no—
344C2×C42—21no—
345C2×C42—21no—
346C2×C42—21no—
347C2×C42—21no—
348C2×C42—21no—
349C2×C42—21no—
350C2×C42—21no—
351C2×C42—21no—
352C2×C42—21no—
353C2×C42C22×C411yescharacteristic
354C2×C42C22×C411yescharacteristic
355C2×C42C2×D412yes—
356C2×C42C2×D411yescharacteristic
357C2×C42C2×D411yescharacteristic
358C2×C42C2×Q812yes—
359#108—44no—
360#108—44no—
361C4⋊C8—42no—
362C4⋊C8—42no—
363C4⋊C8—42no—
364C4⋊C8—42no—
365C4⋊C8—42no—
366C4⋊C8—42no—
367#104—44no—
368#104—44no—
369#103—22no—
370#103—22no—
371#103—41no—
372#103—41no—
373#102—22no—
374#102—22no—
375#102—41no—
376#102—41no—
377C22⋊C8—42no—
378C22⋊C8—42no—
379#97—42no—
380C4×C8—42no—
381#95—21no—
382#95—21no—
383#95—21no—
384#95—21no—
385#95—42no—
386#95—42no—
387C24—21no—
388C24C2×#4111yescharacteristic
389#41—22no—
390#41—22no—
391#41—22no—
392#41—22no—
393#41—22no—
394#41—22no—
395#41—22no—
396#41—22no—
397#41—41no—
398#41—41no—
399#41—41no—
400#41—41no—
401#41—41no—
402#41—41no—
403#41—41no—
404#41—41no—
405C2×Q8—21no—
406C2×Q8—21no—
407C2×Q8—21no—
408C2×Q8—21no—
409C2×Q8—21no—
410C2×Q8—42no—
411C2×Q8—42no—
412C2×Q8—42no—
413C2×Q8—42no—
414C2×Q8—81no—
415C2×Q8—81no—
416C2×Q8C4×Q812yes—
417C2×D4—22no—
418C2×D4—22no—
419C2×D4—21no—
420C2×D4—21no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—41no—
425C2×D4—41no—
426C2×D4—41no—
427C2×D4—41no—
428C2×D4C4×Q812yes—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4—41no—
452C22×C4—41no—
453C22×C4—41no—
454C22×C4—41no—
455C22×C4—41no—
456C22×C4—41no—
457C22×C4—41no—
458C22×C4—41no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—41no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4C4×D411yescharacteristic
465C22×C4C4×D411yescharacteristic
466C22×C4C4×D411yescharacteristic
467C22×C4C4×D411yescharacteristic
468C22×C4C23×C411yescharacteristic
469C22×C4C22×D411yescharacteristic
470C22×C4C22×D411yescharacteristic
471C22×C4C22×Q811yescharacteristic
472C22×C4C2×#4111yescharacteristic
473C22×C4C2×#4111yescharacteristic
474C22×C4H(5,𝔽2)11yescharacteristic
475C22×C4H(5,𝔽2)11yescharacteristic
476C22×C4H(5,𝔽2)11yescharacteristic
477C22×C4H(5,𝔽2)11yescharacteristic
478C22×C4H(5,𝔽2)11yescharacteristic
479C22×C42−1+411yescharacteristic
480C22×C42−1+411yescharacteristic
481C22×C42−1+411yescharacteristic
482M16—22no—
483M16—22no—
484M16—22no—
485M16—22no—
486M16—48no—
487M16—41no—
488M16—41no—
489M16—41no—
490M16—41no—
491M16—41no—
492M16—41no—
493M16—41no—
494M16—41no—
495M16—41no—
496M16—41no—
497M16—41no—
498M16—41no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—22no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—22no—
525C2×C8—48no—
526C2×C8—41no—
527C2×C8—41no—
528C2×C8—41no—
529C2×C8—41no—
530C2×C8—41no—
531C2×C8—41no—
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×C8—41no—
546C2×C8—41no—
547C2×C8—41no—
548C2×C8—41no—
549C2×C8—41no—
550C2×C8—41no—
551C2×C8—41no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4C4×D412yes—
569C4⋊C4C4×D412yes—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—81no—
579C22⋊C4—81no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—22no—
587C42—22no—
588C42—21no—
589C42—21no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—41no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—22no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23C2×C4×D411yescharacteristic
614C23#54211yescharacteristic
615C23#54211yescharacteristic
616C23#54611yescharacteristic
617C23#55111yescharacteristic
618C23#55211yescharacteristic
619C23#55411yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—41no—
623Q8—41no—
624Q8—84no—
625Q8—84no—
626D4—22no—
627D4—22no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—41no—
633D4—41no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—81no—
686C2×C4—81no—
687C2×C4—81no—
688C2×C4—81no—
689C2×C4C2×C4×D411yescharacteristic
690C2×C4C2×C4×Q811yescharacteristic
691C2×C4#51811yescharacteristic
692C2×C4#52011yescharacteristic
693C2×C4#52011yescharacteristic
694C2×C4#52011yescharacteristic
695C2×C4#53511yescharacteristic
696C2×C4#53511yescharacteristic
697C2×C4#53611yescharacteristic
698C2×C4#53611yescharacteristic
699C2×C4#53811yescharacteristic
700C2×C4#53911yescharacteristic
701C2×C4#54211yescharacteristic
702C2×C4#54211yescharacteristic
703C2×C4#54311yescharacteristic
704C2×C4#54411yescharacteristic
705C2×C4D4211yescharacteristic
706C2×C4#54611yescharacteristic
707C2×C4#54611yescharacteristic
708C2×C4#54611yescharacteristic
709C2×C4D4×Q811yescharacteristic
710C2×C4D4×Q811yescharacteristic
711C2×C4#55211yescharacteristic
712C2×C4#55411yescharacteristic
713C2×C4H(3,𝔽4)11yescharacteristic
714C2×C4#56211yescharacteristic
715C2×C4#56211yescharacteristic
716C2×C4#56311yescharacteristic
717C8—41no—
718C8—41no—
719C8—41no—
720C8—41no—
721C8—41no—
722C8—41no—
723C8—42no—
724C8—41no—
725C8—41no—
726C8—42no—
727C8—81no—
728C8—81no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—81no—
745C22—81no—
746C22—81no—
747C22—81no—
748C22#232611yescharacteristic
749C22#235811yescharacteristic
750C22#236011yescharacteristic
751C22#268711yescharacteristic
752C22#269211yescharacteristic
753C22#276311yescharacteristic
754C22#276411yescharacteristic
755C22#295511yescharacteristic
756C22#295511yescharacteristic
757C22#295711yescharacteristic
758C22#295711yescharacteristic
759C4—41no—
760C4—41no—
761C4—42no—
762C4—41no—
763C4—41no—
764C4—42no—
765C4—42no—
766C4—82no—
767C4—82no—
768C4—81no—
769C4—81no—
770C4—81no—
771C4—81no—
772C4#232611yescharacteristic
773C4#232911yescharacteristic
774C4#236011yescharacteristic
775C4#237911yescharacteristic
776C4#267011yescharacteristic
777C4#267711yescharacteristic
778C4#268711yescharacteristic
779C4#269211yescharacteristic
780C2—21no—
781C2—21no—
782C2—21no—
783C2—21no—
784C2—82no—
785C2#1457511yescharacteristic
786C2#2223511yescharacteristic
787C2#2223611yescharacteristic
788C2#2288711yescharacteristic
789C2#2288911yescharacteristic
790C2#2298411yescharacteristic
791C2#2298411yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
socleC23C2×C4×D4
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×#336 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#1995C2semidirect
3. #21304C2semidirect
6. #11329C2semidirect
7. #11326C2semidirect
8. #11291C2semidirect
9. #11258C2semidirect
13. #10809C2semidirect
14. #10796C2semidirect
31. #2026C4semidirect
32. #2026C4semidirect
33. #2025C4semidirect
34. #2025C4semidirect
35. #2024C4semidirect
36. #2024C4semidirect
37. #2023C4semidirect
38. #2023C4semidirect
127. C2×#104Q8semidirect

Maximal subgroups

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

subgroupindex
#234512
C2×#19952
#213042
C2×#18662
#208392
#113292
#113262
#112912
#112582
#111252
#109342
#109242
#108092
#107962
#107912