Finite Group Databasebeta

← #390558

Subgroups — #390558

Order 512.

1042 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23451C211yesmaximal, characteristic
2C2×#1994C211yesmaximal, 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#10923C211yesmaximal, characteristic
13#10809C211yesmaximal, characteristic, complemented
14#10795C211yesmaximal, 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×C43C2211yescharacteristic
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#1994—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×C42—21no—
102C22×C42—21no—
103C22×C42C2311yescharacteristic
104C22×C42C2311yescharacteristic
105C22×C42C2311yescharacteristic
106C2×#108—22no—
107C2×#108—41no—
108C2×#108—41no—
109C2×#108—41no—
110C2×#108—41no—
111C2×#108—41no—
112#424—22no—
113#424—41no—
114#424—41no—
115#424—41no—
116#423—22no—
117#423—41no—
118C2×C4⋊C8—21no—
119C2×C4⋊C8—21no—
120C2×C4⋊C8—21no—
121C2×C4⋊C8—21no—
122C2×C4⋊C8—21no—
123C2×C4⋊C8—21no—
124C2×#104—22no—
125C2×#104—22no—
126C2×#104—41no—
127C2×#104—41no—
128C2×#104—41no—
129C2×#104Q814yescomplemented
130#416—22no—
131#416—22no—
132#416—41no—
133#416—41no—
134C2×#103C2×C411yescharacteristic
135C2×#103C2×C411yescharacteristic
136C2×#103C2×C411yescharacteristic
137C2×#103C2×C411yescharacteristic
138C2×#102C2×C411yescharacteristic
139C2×#102C2×C411yescharacteristic
140C2×#102C2×C411yescharacteristic
141C2×#102C2×C411yescharacteristic
142#408—22no—
143#408—41no—
144C2×C22⋊C8—21no—
145C2×C22⋊C8—21no—
146#405—22no—
147#405—41no—
148C2×#97—21no—
149C2×C4×C8—21no—
150#391C2×C411yescharacteristic
151#391C2×C411yescharacteristic
152#390C2×C411yescharacteristic
153#390C2×C411yescharacteristic
154#386—21no—
155#386—21no—
156C4×C22⋊C4—21no—
157C4×C22⋊C4—21no—
158C43—22no—
159C43—41no—
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—24no—
350C2×C42—21no—
351C2×C42—21no—
352C2×C42—21no—
353C2×C42—21no—
354C2×C42—42no—
355C2×C42—42no—
356C2×C42—42no—
357C2×C42—42no—
358C2×C42—42no—
359C2×C42C22×C411yescharacteristic
360C2×C42C22×C411yescharacteristic
361C2×C42C2×D412yes—
362C2×C42C2×D411yescharacteristic
363C2×C42C2×D411yescharacteristic
364C2×C42C2×Q812yes—
365#108—44no—
366#108—44no—
367C4⋊C8—42no—
368C4⋊C8—42no—
369C4⋊C8—42no—
370C4⋊C8—42no—
371C4⋊C8—42no—
372C4⋊C8—42no—
373#104—44no—
374#104—44no—
375#103—22no—
376#103—22no—
377#103—41no—
378#103—41no—
379#102—22no—
380#102—22no—
381#102—41no—
382#102—41no—
383C22⋊C8—42no—
384C22⋊C8—42no—
385#97—42no—
386C4×C8—42no—
387#95—21no—
388#95—21no—
389#95—21no—
390#95—21no—
391C24—21no—
392C24C2×#4111yescharacteristic
393#41—22no—
394#41—22no—
395#41—22no—
396#41—22no—
397#41—22no—
398#41—22no—
399#41—22no—
400#41—22no—
401#41—41no—
402#41—41no—
403#41—41no—
404#41—41no—
405#41—41no—
406#41—41no—
407#41—41no—
408#41—41no—
409C2×Q8—21no—
410C2×Q8—21no—
411C2×Q8—21no—
412C2×Q8—21no—
413C2×Q8—21no—
414C2×Q8—42no—
415C2×Q8—42no—
416C2×Q8—42no—
417C2×Q8—42no—
418C2×Q8—81no—
419C2×Q8—81no—
420C2×Q8C4×Q812yes—
421C2×D4—22no—
422C2×D4—22no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—41no—
429C2×D4—41no—
430C2×D4—41no—
431C2×D4—41no—
432C2×D4C4×Q812yes—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
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×C4—41no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4C4×D411yescharacteristic
469C22×C4C4×D411yescharacteristic
470C22×C4C4×D411yescharacteristic
471C22×C4C4×D411yescharacteristic
472C22×C4C23×C411yescharacteristic
473C22×C4C22×D411yescharacteristic
474C22×C4C22×D411yescharacteristic
475C22×C4C22×Q811yescharacteristic
476C22×C4C2×#4111yescharacteristic
477C22×C4C2×#4111yescharacteristic
478C22×C4H(5,𝔽2)11yescharacteristic
479C22×C4H(5,𝔽2)11yescharacteristic
480C22×C4H(5,𝔽2)11yescharacteristic
481C22×C4H(5,𝔽2)11yescharacteristic
482C22×C4H(5,𝔽2)11yescharacteristic
483C22×C42−1+411yescharacteristic
484C22×C42−1+411yescharacteristic
485C22×C42−1+411yescharacteristic
486M16—22no—
487M16—22no—
488M16—22no—
489M16—22no—
490M16—48no—
491M16—41no—
492M16—41no—
493M16—41no—
494M16—41no—
495M16—41no—
496M16—41no—
497M16—41no—
498M16—41no—
499M16—41no—
500M16—41no—
501M16—41no—
502M16—41no—
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—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—22no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—22no—
529C2×C8—48no—
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—
552C2×C8—41no—
553C2×C8—41no—
554C2×C8—41no—
555C2×C8—41no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4C4×D412yes—
573C4⋊C4C4×D412yes—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C22⋊C4—42no—
581C22⋊C4—42no—
582C22⋊C4—81no—
583C22⋊C4—81no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—22no—
591C42—22no—
592C42—21no—
593C42—21no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—48no—
599C42—48no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—41no—
604C42—41no—
605C42—41no—
606C42—41no—
607C42—41no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23C2×C4×D411yescharacteristic
620C23#54211yescharacteristic
621C23#54211yescharacteristic
622C23#54611yescharacteristic
623C23#55111yescharacteristic
624C23#55211yescharacteristic
625C23#55411yescharacteristic
626Q8—22no—
627Q8—22no—
628Q8—41no—
629Q8—41no—
630Q8—84no—
631Q8—84no—
632D4—22no—
633D4—22no—
634D4—42no—
635D4—42no—
636D4—42no—
637D4—42no—
638D4—41no—
639D4—41no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
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—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4#44312yes—
694C2×C4#44412yes—
695C2×C4C2×C4×D411yescharacteristic
696C2×C4C2×C4×Q811yescharacteristic
697C2×C4#51811yescharacteristic
698C2×C4#52011yescharacteristic
699C2×C4#52011yescharacteristic
700C2×C4#52011yescharacteristic
701C2×C4#53511yescharacteristic
702C2×C4#53511yescharacteristic
703C2×C4#53611yescharacteristic
704C2×C4#53611yescharacteristic
705C2×C4#53811yescharacteristic
706C2×C4#53911yescharacteristic
707C2×C4#54211yescharacteristic
708C2×C4#54211yescharacteristic
709C2×C4#54311yescharacteristic
710C2×C4#54411yescharacteristic
711C2×C4D4211yescharacteristic
712C2×C4#54611yescharacteristic
713C2×C4#54611yescharacteristic
714C2×C4#54611yescharacteristic
715C2×C4D4×Q811yescharacteristic
716C2×C4D4×Q811yescharacteristic
717C2×C4#55211yescharacteristic
718C2×C4#55411yescharacteristic
719C2×C4H(3,𝔽4)11yescharacteristic
720C2×C4#56211yescharacteristic
721C2×C4#56211yescharacteristic
722C2×C4#56311yescharacteristic
723C8—41no—
724C8—41no—
725C8—41no—
726C8—41no—
727C8—41no—
728C8—41no—
729C8—42no—
730C8—41no—
731C8—41no—
732C8—42no—
733C8—81no—
734C8—81no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—21no—
744C22—21no—
745C22—21no—
746C22—21no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—81no—
751C22—81no—
752C22—81no—
753C22—81no—
754C22#232611yescharacteristic
755C22#235811yescharacteristic
756C22#236011yescharacteristic
757C22#268711yescharacteristic
758C22#269211yescharacteristic
759C22#276311yescharacteristic
760C22#276411yescharacteristic
761C22C2×#44311yescharacteristic
762C22C2×#44411yescharacteristic
763C22#295611yescharacteristic
764C22#295611yescharacteristic
765C4—22no—
766C4—22no—
767C4—44no—
768C4—44no—
769C4—41no—
770C4—42no—
771C4—41no—
772C4—42no—
773C4—42no—
774C4—81no—
775C4—81no—
776C4—81no—
777C4—81no—
778C4#232611yescharacteristic
779C4#232911yescharacteristic
780C4#236011yescharacteristic
781C4#237911yescharacteristic
782C4#267011yescharacteristic
783C4#267711yescharacteristic
784C4#268711yescharacteristic
785C4#269211yescharacteristic
786C2—21no—
787C2—21no—
788C2—21no—
789C2—21no—
790C2—82no—
791C2#1457511yescharacteristic
792C2#2223411yescharacteristic
793C2#2223711yescharacteristic
794C2#2288611yescharacteristic
795C2#2288811yescharacteristic
796C2#2298211yescharacteristic
797C2#2298311yescharacteristic
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×#1994C2semidirect
3. #21304C2semidirect
6. #11329C2semidirect
7. #11326C2semidirect
8. #11291C2semidirect
9. #11258C2semidirect
13. #10809C2semidirect
14. #10795C2semidirect
31. #2026C4semidirect
32. #2026C4semidirect
33. #2025C4semidirect
34. #2025C4semidirect
35. #2024C4semidirect
36. #2024C4semidirect
37. #2023C4semidirect
38. #2023C4semidirect
129. C2×#104Q8semidirect

Maximal subgroups

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

subgroupindex
#234512
C2×#19942
#213042
C2×#18662
#208392
#113292
#113262
#112912
#112582
#111252
#109342
#109232
#108092
#107952
#107912