Finite Group Databasebeta

← #373928

Subgroups — #373928

Order 512.

1174 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21022C211yesmaximal, characteristic, complemented
2C2×#1866C211yesmaximal, characteristic
3#20872C211yesmaximal, characteristic
4C2×C4×#104C211yesmaximal, characteristic
5#20336C211yesmaximal, characteristic
6#11376C211yesmaximal, characteristic, complemented
7#11317C211yesmaximal, characteristic, complemented
8#11258C211yesmaximal, characteristic, complemented
9#11221C211yesmaximal, characteristic, complemented
10#10911C211yesmaximal, characteristic, complemented
11#10878C211yesmaximal, characteristic, complemented
12#10795C211yesmaximal, characteristic, complemented
13#10791C211yesmaximal, characteristic
14#10791C211yesmaximal, characteristic
15#10791C211yesmaximal, characteristic
16C22×#131C2211yescharacteristic
17C22×#131C2211yescharacteristic
18C2×C4×#41C2211yescharacteristic
19C22×#108C2211yescharacteristic
20C2×#427C2211yescharacteristic
21C2×#424C2211yescharacteristic
22C22×#104C2211yescharacteristic
23C22×#104C2211yescharacteristic
24C2×#416C2211yescharacteristic
25C2×#416C2211yescharacteristic
26C2×C4×M16C2211yescharacteristic
27#2296C2211yescharacteristic
28C2×C43C2211yescharacteristic
29#1917—21no—
30#1917—21no—
31#1916—21no—
32#1916—21no—
33#1866—24no—
34#1865C411yescharacteristic, complemented
35#1865C411yescharacteristic, complemented
36#1864C411yescharacteristic, complemented
37#1864C411yescharacteristic, complemented
38#1863C411yescharacteristic, complemented
39#1863C411yescharacteristic, complemented
40#1862C411yescharacteristic, complemented
41#1862C411yescharacteristic, complemented
42C4×#104—24no—
43C2×#341C2211yescharacteristic
44C2×#341C2211yescharacteristic
45C2×#341C2211yescharacteristic
46#1735C2211yescharacteristic
47C2×#339C2211yescharacteristic
48C2×#339C2211yescharacteristic
49C2×#339C2211yescharacteristic
50C2×#339C2211yescharacteristic
51C2×#339C2211yescharacteristic
52C2×#339C2211yescharacteristic
53#1729—21no—
54#1729—21no—
55#1729C2211yescharacteristic
56#1729C2211yescharacteristic
57#1729C2211yescharacteristic
58#1729C2211yescharacteristic
59#1729C2211yescharacteristic
60#1728—21no—
61#1728C2211yescharacteristic
62C2×#336—21no—
63C2×#336C2211yescharacteristic
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—22no—
75C2×#131—22no—
76C2×#131—22no—
77C2×#131—22no—
78C2×#131—41no—
79C2×#131—41no—
80C2×#131—41no—
81C2×#131—41no—
82C22×M16—21no—
83C22×M16—21no—
84C22×M16C2311yescharacteristic
85C22×M16C2311yescharacteristic
86C22×M16C2311yescharacteristic
87C22×M16C2311yescharacteristic
88C23×C8—21no—
89C23×C8—21no—
90C23×C8C2311yescharacteristic
91C23×C8C2311yescharacteristic
92C23×C8C2311yescharacteristic
93C23×C8C2311yescharacteristic
94C4×#41—22no—
95C4×#41—22no—
96C4×#41—41no—
97C4×#41—41no—
98C2×C4×Q8C2×C411yescharacteristic
99C2×C4×Q8C2×C411yescharacteristic
100C2×C4×D4—21no—
101C2×C4×D4—21no—
102C2×C4×D4C2×C411yescharacteristic
103C2×C4×D4C2×C411yescharacteristic
104C2×#117—21no—
105C2×#117C2311yescharacteristic
106C2×#117C2311yescharacteristic
107C2×#117C2311yescharacteristic
108C22×C42—21no—
109C22×C42—21no—
110C22×C42—21no—
111C22×C42C2311yescharacteristic
112C22×C42C2311yescharacteristic
113C22×C42C2311yescharacteristic
114C2×#108—22no—
115C2×#108—22no—
116C2×#108—41no—
117#427—41no—
118#427—41no—
119C2×#107C2×C411yescharacteristic
120C2×#107C2×C411yescharacteristic
121C2×#106C2×C411yescharacteristic
122C2×#106C2×C411yescharacteristic
123#424—22no—
124#424—41no—
125C2×C4⋊C8—21no—
126C2×C4⋊C8—21no—
127C2×#104—22no—
128C2×#104—22no—
129C2×#104—22no—
130C2×#104—22no—
131C2×#104D414yes—
132C2×#104Q814yes—
133#416—22no—
134#416—22no—
135#416—22no—
136#416—22no—
137C2×#103C2×C411yescharacteristic
138C2×#103C2×C411yescharacteristic
139C2×#103C2×C411yescharacteristic
140C2×#103C2×C411yescharacteristic
141C2×#102C2×C411yescharacteristic
142C2×#102C2×C411yescharacteristic
143C2×#102C2×C411yescharacteristic
144C2×#102C2×C411yescharacteristic
145C4×M16—22no—
146C4×M16—41no—
147C2×#97—21no—
148C2×C4×C8—21no—
149#389C2×C411yescharacteristic
150#389C2×C411yescharacteristic
151#389C2×C411yescharacteristic
152#389C2×C411yescharacteristic
153#385—21no—
154#385—21no—
155C4×C4⋊C4—21no—
156C4×C4⋊C4—21no—
157C43—22no—
158C43—41no—
159#341—22no—
160#341—41no—
161#341—41no—
162#340C2×C411yescharacteristic
163#340C2×C411yescharacteristic
164#340C2×C411yescharacteristic
165#340C2×C411yescharacteristic
166#339—22no—
167#339—22no—
168#339—22no—
169#339—22no—
170#339—22no—
171#339—41no—
172#336—21no—
173#336—21no—
174#336—21no—
175#336—21no—
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×#41C2×D412yes—
203C2×#41C2×Q812yes—
204C2×#41#4112yes—
205C2×#41#4112yes—
206C2×#41#4112yes—
207C2×#41#4112yes—
208C22×Q8C22×C411yescharacteristic
209C22×D4—21no—
210C22×D4C22×C411yescharacteristic
211C23×C4—21no—
212C23×C4—21no—
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—
223#131—44no—
224#131—44no—
225#131—44no—
226#131—44no—
227C2×M16—24no—
228C2×M16—24no—
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—21no—
246C2×M16—21no—
247C2×M16—21no—
248C2×M16—21no—
249C2×M16—42no—
250C2×M16—42no—
251C2×M16—42no—
252C2×M16—42no—
253C2×M16C2×D412yes—
254C2×M16C2×Q812yes—
255C2×M16#4112yes—
256C2×M16#4112yes—
257C22×C8—24no—
258C22×C8—24no—
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—21no—
279C22×C8—21no—
280C22×C8—21no—
281C22×C8—21no—
282C22×C8—21no—
283C22×C8—21no—
284C22×C8—21no—
285C22×C8—21no—
286C22×C8—21no—
287C22×C8—42no—
288C22×C8—42no—
289C22×C8—42no—
290C22×C8—42no—
291C22×C8C22×C411yescharacteristic
292C22×C8C22×C411yescharacteristic
293C22×C8C22×C411yescharacteristic
294C22×C8C22×C411yescharacteristic
295C22×C8C2×D411yescharacteristic
296C22×C8C2×D411yescharacteristic
297C22×C8C2×D411yescharacteristic
298C22×C8C2×D411yescharacteristic
299C4×Q8—22no—
300C4×Q8—22no—
301C4×Q8—41no—
302C4×Q8—41no—
303C4×D4—22no—
304C4×D4—22no—
305C4×D4—41no—
306C4×D4—41no—
307C4×D4—42no—
308C4×D4—42no—
309C4×D4—42no—
310C4×D4—42no—
311#117—21no—
312#117—21no—
313#117—21no—
314#117—21no—
315#117—21no—
316#117—21no—
317#117—21no—
318#117—21no—
319#117—21no—
320#117—21no—
321#117—21no—
322#117—21no—
323#117—42no—
324#117—42no—
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⋊C4C22×C411yescharacteristic
332C2×C4⋊C4C22×C411yescharacteristic
333C2×C4⋊C4C22×C411yescharacteristic
334C2×C4⋊C4C22×C411yescharacteristic
335C2×C4⋊C4C22×C411yescharacteristic
336C2×C4⋊C4C22×C411yescharacteristic
337C2×C22⋊C4—21no—
338C2×C22⋊C4—21no—
339C2×C22⋊C4—21no—
340C2×C22⋊C4—21no—
341C2×C22⋊C4—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—24no—
355C2×C42—21no—
356C2×C42—21no—
357C2×C42—21no—
358C2×C42—21no—
359C2×C42—21no—
360C2×C42—21no—
361C2×C42—21no—
362C2×C42—42no—
363C2×C42—42no—
364C2×C42—42no—
365C2×C42—42no—
366C2×C42—42no—
367C2×C42—42no—
368C2×C42—42no—
369C2×C42C22×C411yescharacteristic
370C2×C42C22×C411yescharacteristic
371C2×C42C2×D412yes—
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2×Q812yes—
375#108—44no—
376#107—41no—
377#107—41no—
378#106—41no—
379#106—41no—
380C4⋊C8—42no—
381C4⋊C8—42no—
382#104—28no—
383#104—28no—
384#103—22no—
385#103—22no—
386#103—22no—
387#103—22no—
388#102—22no—
389#102—22no—
390#102—22no—
391#102—22no—
392#97—42no—
393C4×C8—42no—
394#95—21no—
395#95—21no—
396#95—21no—
397#95—21no—
398C24—21no—
399C24C2×#4111yescharacteristic
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#41C22⋊Q814yes—
413#41#12314yes—
414#41#12514yes—
415#41#12614yes—
416C2×Q8—21no—
417C2×Q8—21no—
418C2×Q8—21no—
419C2×Q8#11712yes—
420C2×Q8C4×D412yes—
421C2×Q8C4×Q812yes—
422C2×D4—22no—
423C2×D4—22no—
424C2×D4—22no—
425C2×D4—22no—
426C2×D4—22no—
427C2×D4—22no—
428C2×D4—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4#11712yes—
432C2×D4C4×D412yes—
433C2×D4C4×Q812yes—
434C22×C4—21no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—41no—
460C22×C4—41no—
461C22×C4—42no—
462C22×C4—42no—
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—42no—
472C22×C4—42no—
473C22×C4—81no—
474C22×C4—81no—
475C22×C4C4×D411yescharacteristic
476C22×C4C4×D411yescharacteristic
477C22×C4C4×D411yescharacteristic
478C22×C4C4×D411yescharacteristic
479C22×C4C23×C411yescharacteristic
480C22×C4C22×D411yescharacteristic
481C22×C4C22×D411yescharacteristic
482C22×C4C22×Q811yescharacteristic
483C22×C4C2×#4111yescharacteristic
484C22×C4C2×#4111yescharacteristic
485C22×C4C2×#4111yescharacteristic
486C22×C4C2×#4111yescharacteristic
487C22×C4C2×#4111yescharacteristic
488C22×C4C2×#4111yescharacteristic
489C22×C4H(5,𝔽2)11yescharacteristic
490C22×C4H(5,𝔽2)11yescharacteristic
491C22×C4H(5,𝔽2)11yescharacteristic
492C22×C42−1+411yescharacteristic
493M16—22no—
494M16—22no—
495M16—22no—
496M16—22no—
497M16—22no—
498M16—22no—
499M16—22no—
500M16—22no—
501M16—48no—
502M16—48no—
503M16—41no—
504M16—41no—
505M16—41no—
506M16—41no—
507M16—41no—
508M16—41no—
509M16—41no—
510M16—41no—
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—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—22no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—22no—
539C2×C8—48no—
540C2×C8—48no—
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—
556C2×C8—41no—
557C2×C8—41no—
558C2×C8—41no—
559C2×C8—41no—
560C2×C8—41no—
561C2×C8—41no—
562C2×C8—41no—
563C2×C8—41no—
564C2×C8—41no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—81no—
582C4⋊C4—81no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—42no—
604C42—42no—
605C42—48no—
606C42—48no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23C2×C4×D411yescharacteristic
629C23#52911yescharacteristic
630C23#52911yescharacteristic
631C23#54611yescharacteristic
632C23#55111yescharacteristic
633C23#55211yescharacteristic
634C23#55411yescharacteristic
635Q8—22no—
636Q8—22no—
637Q8—22no—
638Q8#38714yes—
639D4—24no—
640D4—24no—
641D4—24no—
642D4—24no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4#38714yes—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
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—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4#44312yes—
703C2×C4#44412yes—
704C2×C4C2×#11711yescharacteristic
705C2×C4C2×C4×D411yescharacteristic
706C2×C4C2×C4×Q811yescharacteristic
707C2×C4C4×#4111yescharacteristic
708C2×C4#51811yescharacteristic
709C2×C4#52011yescharacteristic
710C2×C4C2×C22⋊Q811yescharacteristic
711C2×C4C2×#12311yescharacteristic
712C2×C4#52511yescharacteristic
713C2×C4#52511yescharacteristic
714C2×C4C2×#12511yescharacteristic
715C2×C4C2×#12611yescharacteristic
716C2×C4#53811yescharacteristic
717C2×C4#53811yescharacteristic
718C2×C4#53911yescharacteristic
719C2×C4#53911yescharacteristic
720C2×C4D4211yescharacteristic
721C2×C4#54611yescharacteristic
722C2×C4#54611yescharacteristic
723C2×C4#54611yescharacteristic
724C2×C4#54711yescharacteristic
725C2×C4D4×Q811yescharacteristic
726C2×C4#55111yescharacteristic
727C2×C4#55111yescharacteristic
728C2×C4#55111yescharacteristic
729C2×C4#55211yescharacteristic
730C2×C4#55411yescharacteristic
731C2×C4#55411yescharacteristic
732C8—41no—
733C8—41no—
734C8—41no—
735C8—41no—
736C8—41no—
737C8—41no—
738C8—42no—
739C8—42no—
740C8—42no—
741C8—41no—
742C8—41no—
743C8—42no—
744C22—21no—
745C22—21no—
746C22—21no—
747C22—21no—
748C22—21no—
749C22—21no—
750C22—21no—
751C22—21no—
752C22—21no—
753C22—21no—
754C22—21no—
755C22—21no—
756C22—24no—
757C22—42no—
758C22—42no—
759C22—42no—
760C22—42no—
761C22—42no—
762C22—42no—
763C22#229011yescharacteristic
764C22#235811yescharacteristic
765C22#236011yescharacteristic
766C22#241911yescharacteristic
767C22#245011yescharacteristic
768C22#249311yescharacteristic
769C22#250511yescharacteristic
770C22C2×#44311yescharacteristic
771C22C2×#44411yescharacteristic
772C22#295611yescharacteristic
773C22#295611yescharacteristic
774C4—24no—
775C4—22no—
776C4—22no—
777C4—44no—
778C4—44no—
779C4—41no—
780C4—41no—
781C4—81no—
782C4—81no—
783C4—81no—
784C4—81no—
785C4—81no—
786C4—81no—
787C4C2×#38711yescharacteristic
788C4#231811yescharacteristic
789C4#235911yescharacteristic
790C4#236811yescharacteristic
791C4#241811yescharacteristic
792C4#244911yescharacteristic
793C4#247311yescharacteristic
794C4#248011yescharacteristic
795C2—21no—
796C2—21no—
797C2—21no—
798C2—21no—
799C2—44no—
800C2#1413111yescharacteristic
801C2#2113711yescharacteristic
802C2#2113911yescharacteristic
803C2#2288611yescharacteristic
804C2#2288811yescharacteristic
805C2#2298211yescharacteristic
806C2#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
1. #21022C2semidirect
6. #11376C2semidirect
7. #11317C2semidirect
8. #11258C2semidirect
9. #11221C2semidirect
10. #10911C2semidirect
11. #10878C2semidirect
12. #10795C2semidirect
34. #1865C4semidirect
35. #1865C4semidirect
36. #1864C4semidirect
37. #1864C4semidirect
38. #1863C4semidirect
39. #1863C4semidirect
40. #1862C4semidirect
41. #1862C4semidirect

Maximal subgroups

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

subgroupindex
#210222
C2×#18662
#208722
C2×C4×#1042
#203362
#113762
#113172
#112582
#112212
#109112
#108782
#107952
#107912