Finite Group Databasebeta

← #378657

Subgroups — #378657

Order 512.

1045 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23451C211yesmaximal, characteristic
2C2×#1986C211yesmaximal, characteristic, complemented
3#21304C211yesmaximal, characteristic, complemented
4C2×#1866C211yesmaximal, characteristic
5#20387C211yesmaximal, characteristic
6#11317C211yesmaximal, characteristic, complemented
7#11291C211yesmaximal, characteristic, complemented
8#11075C211yesmaximal, characteristic
9#10934C211yesmaximal, characteristic
10#10930C211yesmaximal, characteristic
11#10911C211yesmaximal, characteristic, complemented
12#10910C211yesmaximal, characteristic, complemented
13#10875C211yesmaximal, characteristic, complemented
14#10791C211yesmaximal, characteristic
15#10707C211yesmaximal, characteristic, complemented
16C22×#131C2211yescharacteristic
17C2×#533C2211yescharacteristic
18C22×#108C2211yescharacteristic
19C2×#424C2211yescharacteristic
20C22×#104C2211yescharacteristic
21C22×#104C2211yescharacteristic
22C2×#416C2211yescharacteristic
23C2×#416C2211yescharacteristic
24C2×#408C2211yescharacteristic
25C2×#405C2211yescharacteristic
26C2×#405C2211yescharacteristic
27C2×C4×M16C2211yescharacteristic
28C22×#97C2211yescharacteristic
29#2297C2211yescharacteristic
30C2×C4×C4⋊C4C2211yescharacteristic
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#1986—24no—
40#1985—21no—
41#1985—21no—
42#1984—21no—
43#1984—21no—
44#1866—24no—
45#1753—21no—
46#1753—21no—
47#1752—21no—
48C8×C22⋊C4—21no—
49C2×#341C2211yescharacteristic
50C2×#341C2211yescharacteristic
51C2×#341C2211yescharacteristic
52#1735C2211yescharacteristic
53#1735C2211yescharacteristic
54C2×#339C2211yescharacteristic
55C2×#339C2211yescharacteristic
56C2×#339C2211yescharacteristic
57C2×#339C2211yescharacteristic
58C2×#339C2211yescharacteristic
59C2×#339C2211yescharacteristic
60#1729C2211yescharacteristic
61#1729C2211yescharacteristic
62#1729C2211yescharacteristic
63#1728C2211yescharacteristic
64C2×#336C2211yescharacteristic
65C2×#336C2211yescharacteristic
66C2×#336C2211yescharacteristic
67C2×#336C2211yescharacteristic
68C2×#336C2211yescharacteristic
69C22×#41C2311yescharacteristic
70C2×#131—22no—
71C2×#131—22no—
72C2×#131—22no—
73C2×#131—22no—
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×C4⋊C4—21no—
102C22×C42C2311yescharacteristic
103C22×C42C2311yescharacteristic
104C22×C42C2311yescharacteristic
105C2×#108—22no—
106C2×#108—22no—
107C2×#108—22no—
108#424—22no—
109#424—41no—
110C2×C4⋊C8—21no—
111C2×C4⋊C8—21no—
112C2×#104—22no—
113C2×#104—22no—
114C2×#104—22no—
115C2×#104—22no—
116C2×#104—41no—
117C2×#104—41no—
118#416—22no—
119#416—22no—
120#416—41no—
121#416—41no—
122C2×#103C2×C411yescharacteristic
123C2×#103C2×C411yescharacteristic
124C2×#103C2×C411yescharacteristic
125C2×#103C2×C411yescharacteristic
126C2×#102C2×C411yescharacteristic
127C2×#102C2×C411yescharacteristic
128C2×#102C2×C411yescharacteristic
129C2×#102C2×C411yescharacteristic
130#408—22no—
131#408Q814yescomplemented
132C2×C22⋊C8—21no—
133C2×C22⋊C8—21no—
134#405—22no—
135#405—22no—
136#405—41no—
137#405—41no—
138C4×M16—22no—
139C4×M16—41no—
140C2×#97—21no—
141C2×#97—21no—
142C2×#97—22no—
143C2×#97—21no—
144C2×#97—41no—
145C2×#97—41no—
146C2×C4×C8—21no—
147C2×C4×C8—21no—
148C2×C4×C8—21no—
149#391C2×C411yescharacteristic
150#391C2×C411yescharacteristic
151#390C2×C411yescharacteristic
152#390C2×C411yescharacteristic
153#386—21no—
154#386—21no—
155C4×C4⋊C4—22no—
156C4×C4⋊C4—41no—
157C4×C22⋊C4—21no—
158C4×C22⋊C4—21no—
159C2×#95—21no—
160#341—22no—
161#341—22no—
162#341—41no—
163#340C2×C411yescharacteristic
164#340C2×C411yescharacteristic
165#340C2×C411yescharacteristic
166#340C2×C411yescharacteristic
167#340C2×C411yescharacteristic
168#340C2×C411yescharacteristic
169#340C2×C411yescharacteristic
170#340C2×C411yescharacteristic
171#339—22no—
172#339—22no—
173#339—22no—
174#339—22no—
175#339—41no—
176#339D414yes—
177#336—21no—
178#336—21no—
179#336—21no—
180#336—21no—
181#336—21no—
182#336—21no—
183#336—22no—
184#336—22no—
185#336—21no—
186#336—21no—
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—24no—
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—42no—
244C2×M16—42no—
245C2×M16C2×D412yes—
246C2×M16C2×Q812yes—
247C2×M16#4112yes—
248C2×M16#4112yes—
249C2×M16#4112yes—
250C22×C8—21no—
251C22×C8—21no—
252C22×C8—21no—
253C22×C8—21no—
254C22×C8—21no—
255C22×C8—24no—
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—42no—
278C22×C8—42no—
279C22×C8C22×C411yescharacteristic
280C22×C8C22×C411yescharacteristic
281C22×C8C22×C411yescharacteristic
282C22×C8C22×C411yescharacteristic
283C22×C8C2×D411yescharacteristic
284C22×C8C2×D411yescharacteristic
285C22×C8C2×D411yescharacteristic
286C22×C8C2×D411yescharacteristic
287C22×C8C2×Q812yes—
288C22×C8#4112yes—
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⋊C4—42no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4C22×C411yescharacteristic
327C2×C4⋊C4C22×C411yescharacteristic
328C2×C4⋊C4C22×C411yescharacteristic
329C2×C4⋊C4C22×C411yescharacteristic
330C2×C4⋊C4C22×C411yescharacteristic
331C2×C4⋊C4C22×C411yescharacteristic
332C2×C22⋊C4—21no—
333C2×C22⋊C4—21no—
334C2×C22⋊C4—21no—
335C2×C22⋊C4—21no—
336C2×C22⋊C4—21no—
337C2×C22⋊C4—21no—
338C2×C22⋊C4—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×C42—21no—
354C2×C42—21no—
355C2×C42—21no—
356C2×C42—21no—
357C2×C42C22×C411yescharacteristic
358C2×C42C22×C411yescharacteristic
359C2×C42C2×D412yes—
360C2×C42C2×D411yescharacteristic
361C2×C42C2×D411yescharacteristic
362#108—44no—
363C4⋊C8—42no—
364C4⋊C8—42no—
365#104—44no—
366#104—44no—
367#103—22no—
368#103—22no—
369#103—41no—
370#103—41no—
371#102—22no—
372#102—22no—
373#102—41no—
374#102—41no—
375C22⋊C8—24no—
376C22⋊C8—24no—
377#97—42no—
378#97—42no—
379#97—42no—
380#97—44no—
381C4×C8—42no—
382C4×C8—42no—
383C4×C8—42no—
384#95—21no—
385#95—21no—
386#95—21no—
387#95—21no—
388#95—42no—
389C24—21no—
390C24C2×#4111yescharacteristic
391#41—22no—
392#41—22no—
393#41—22no—
394#41—22no—
395#41—22no—
396#41—22no—
397#41—22no—
398#41—22no—
399#41—41no—
400#41—41no—
401#41—41no—
402#41—41no—
403#41—41no—
404#41—41no—
405#41—41no—
406#41—41no—
407C2×Q8—21no—
408C2×Q8—21no—
409C2×Q8—21no—
410C2×Q8—21no—
411C2×Q8—21no—
412C2×Q8—42no—
413C2×Q8—42no—
414C2×Q8—42no—
415C2×Q8—42no—
416C2×Q8—81no—
417C2×Q8—81no—
418C2×Q8C4×Q812yes—
419C2×D4—22no—
420C2×D4—22no—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4—41no—
427C2×D4—41no—
428C2×D4—41no—
429C2×D4—41no—
430C2×D4C4×Q812yes—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—22no—
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×C4—41no—
465C22×C4—41no—
466C22×C4C4×D411yescharacteristic
467C22×C4C4×D411yescharacteristic
468C22×C4C4×D411yescharacteristic
469C22×C4C4×D411yescharacteristic
470C22×C4C23×C411yescharacteristic
471C22×C4C22×D411yescharacteristic
472C22×C4C22×D411yescharacteristic
473C22×C4C22×Q811yescharacteristic
474C22×C4C2×#4111yescharacteristic
475C22×C4C2×#4111yescharacteristic
476C22×C4C2×#4111yescharacteristic
477C22×C4C2×#4111yescharacteristic
478C22×C4C2×#4111yescharacteristic
479C22×C4C2×#4111yescharacteristic
480C22×C4H(5,𝔽2)11yescharacteristic
481C22×C4H(5,𝔽2)11yescharacteristic
482C22×C4H(5,𝔽2)11yescharacteristic
483C22×C42−1+411yescharacteristic
484M16—22no—
485M16—22no—
486M16—22no—
487M16—22no—
488M16—22no—
489M16—22no—
490M16—22no—
491M16—48no—
492M16—41no—
493M16—41no—
494M16—41no—
495M16—41no—
496M16—41no—
497M16—41no—
498M16—41no—
499M16—41no—
500M16#12414yes—
501C2×C8—22no—
502C2×C8—22no—
503C2×C8—22no—
504C2×C8—22no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—22no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—22no—
511C2×C8—22no—
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—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—22no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—22no—
532C2×C8—48no—
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×C8C22⋊Q812yes—
553C2×C8C22⋊Q812yes—
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—21no—
563C4⋊C4—21no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—48no—
571C4⋊C4C4×D412yes—
572C4⋊C4C4×D412yes—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—42no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—41no—
580C22⋊C4—42no—
581C22⋊C4—81no—
582C22⋊C4—81no—
583C42—21no—
584C42—21no—
585C42—21no—
586C42—21no—
587C42—21no—
588C42—21no—
589C42—22no—
590C42—22no—
591C42—21no—
592C42—21no—
593C42—22no—
594C42—22no—
595C42—41no—
596C42—41no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—41no—
604C42—41no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—22no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23C2×C4×D411yescharacteristic
617C23#52911yescharacteristic
618C23#53311yescharacteristic
619C23#54611yescharacteristic
620C23#55111yescharacteristic
621C23#55611yescharacteristic
622C23#55911yescharacteristic
623Q8—22no—
624Q8—22no—
625Q8—41no—
626Q8—41no—
627Q8—84no—
628Q8—84no—
629D4—22no—
630D4—22no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—41no—
636D4—41no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
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—41no—
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—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—42no—
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×C4—81no—
690C2×C4—81no—
691C2×C4#44412yes—
692C2×C4C2×C4×D411yescharacteristic
693C2×C4C2×C4×Q811yescharacteristic
694C2×C4C4×#4111yescharacteristic
695C2×C4C4×#4111yescharacteristic
696C2×C4#51811yescharacteristic
697C2×C4#52011yescharacteristic
698C2×C4C2×C22⋊Q811yescharacteristic
699C2×C4#52511yescharacteristic
700C2×C4C2×#12411yescharacteristic
701C2×C4#52911yescharacteristic
702C2×C4#52911yescharacteristic
703C2×C4#53211yescharacteristic
704C2×C4#53811yescharacteristic
705C2×C4#53811yescharacteristic
706C2×C4#54211yescharacteristic
707C2×C4#54211yescharacteristic
708C2×C4D4211yescharacteristic
709C2×C4#54611yescharacteristic
710C2×C4#54611yescharacteristic
711C2×C4#54611yescharacteristic
712C2×C4#54811yescharacteristic
713C2×C4D4×Q811yescharacteristic
714C2×C4#55111yescharacteristic
715C2×C4#55111yescharacteristic
716C2×C4#55211yescharacteristic
717C2×C4#55411yescharacteristic
718C2×C4#55411yescharacteristic
719C2×C4#55411yescharacteristic
720C8—22no—
721C8—22no—
722C8—24no—
723C8—41no—
724C8—41no—
725C8—42no—
726C8—41no—
727C8—41no—
728C8—42no—
729C8—41no—
730C8—41no—
731C8—81no—
732C22—21no—
733C22—21no—
734C22—21no—
735C22—21no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—21no—
740C22—21no—
741C22—21no—
742C22—21no—
743C22—21no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22—81no—
751C22C4×C22⋊Q811yescharacteristic
752C22#235811yescharacteristic
753C22#236711yescharacteristic
754C22#249211yescharacteristic
755C22#252711yescharacteristic
756C22#255711yescharacteristic
757C22#258911yescharacteristic
758C22C2×#44411yescharacteristic
759C22#295511yescharacteristic
760C22#295611yescharacteristic
761C22#295711yescharacteristic
762C4—22no—
763C4—41no—
764C4—42no—
765C4—41no—
766C4—41no—
767C4—42no—
768C4—42no—
769C4—82no—
770C4—82no—
771C4—81no—
772C4—81no—
773C4—81no—
774C4—81no—
775C4C4×#12411yescharacteristic
776C4#233711yescharacteristic
777C4#236011yescharacteristic
778C4#236811yescharacteristic
779C4#245011yescharacteristic
780C4#245211yescharacteristic
781C4#247211yescharacteristic
782C4#247711yescharacteristic
783C2—21no—
784C2—21no—
785C2—21no—
786C2—21no—
787C2—82no—
788C2#1422011yescharacteristic
789C2#2162811yescharacteristic
790C2#2162911yescharacteristic
791C2#2288611yescharacteristic
792C2#2288911yescharacteristic
793C2#2323511yescharacteristic
794C2#2323611yescharacteristic
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×#1986C2semidirect
3. #21304C2semidirect
6. #11317C2semidirect
7. #11291C2semidirect
11. #10911C2semidirect
12. #10910C2semidirect
13. #10875C2semidirect
15. #10707C2semidirect
31. #2026C4semidirect
32. #2026C4semidirect
33. #2025C4semidirect
34. #2025C4semidirect
35. #2024C4semidirect
36. #2024C4semidirect
37. #2023C4semidirect
38. #2023C4semidirect
131. #408Q8semidirect

Maximal subgroups

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

subgroupindex
#234512
C2×#19862
#213042
C2×#18662
#203872
#113172
#112912
#110752
#109342
#109302
#109112
#109102
#108752
#107912
#107072