Finite Group Databasebeta

← #497553

Subgroups — #497553

Order 512.

838 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61234C211yesmaximal, characteristic
2D4×M32C211yesmaximal, characteristic, complemented
3#22654C211yesmaximal, characteristic, complemented
4#13288C211yesmaximal, characteristic, complemented
5#13278C211yesmaximal, characteristic, complemented
6#13065C211yesmaximal, characteristic, complemented
7#13065C211yesmaximal, characteristic, complemented
8#13002C211yesmaximal, characteristic, complemented
9#13001C211yesmaximal, characteristic, complemented
10#12870C211yesmaximal, characteristic, complemented
11#12870C211yesmaximal, characteristic, complemented
12#12817C211yesmaximal, characteristic, complemented
13C4×#360C211yesmaximal, characteristic, complemented
14#12567C211yesmaximal, characteristic, complemented
15C2×#1386C211yesmaximal, characteristic, complemented
16#3475—21no—
17C22×M32C2211yescharacteristic
18C22×M32C2211yescharacteristic
19#3342C411yescharacteristic, complemented
20#3341C411yescharacteristic, complemented
21#3340—21no—
22#3339C411yescharacteristic, complemented
23#3339C411yescharacteristic, complemented
24#3338C411yescharacteristic, complemented
25#3337—21no—
26#3337—21no—
27#3336C411yescharacteristic, complemented
28#3336C411yescharacteristic, complemented
29#3335—21no—
30#3334C411yescharacteristic, complemented
31#3160C2211yescharacteristic
32#3091—21no—
33#3091—21no—
34#3076—21no—
35#3050C2211yescharacteristic
36#3050C2211yescharacteristic
37C4×#135C2211yescharacteristic
38C2×C8×D4C2211yescharacteristic
39C2×#427C2211yescharacteristic
40C2×#427C2211yescharacteristic
41C2×#427C2211yescharacteristic
42C22×#106C2211yescharacteristic
43#2352—21no—
44#2169—21no—
45#2168—21no—
46#2168—21no—
47D4×C16—21no—
48#2150C2211yescharacteristic
49C2×#360C2211yescharacteristic
50C2×#360C2211yescharacteristic
51C2×#360C2211yescharacteristic
52C2×#360C2211yescharacteristic
53#2112C2211yescharacteristic
54#2112C2211yescharacteristic
55C4×M32C2211yescharacteristic
56#1949—21no—
57#1854—21no—
58#1852—21no—
59#1846C2211yescharacteristic
60#1807C2211yescharacteristic
61#1807C2211yescharacteristic
62C4×#106C2211yescharacteristic
63#1386C2211yescharacteristic
64#1386C2211yescharacteristic
65#1386C2211yescharacteristic
66#1386C2211yescharacteristic
67#1386C2211yescharacteristic
68#1386C2211yescharacteristic
69#1386C2211yescharacteristic
70#1386C2211yescharacteristic
71#1386C2211yescharacteristic
72#1386C2211yescharacteristic
73#1386C2211yescharacteristic
74#1386C2211yescharacteristic
75C2×#135C2311yescharacteristic
76C23×C8C2311yescharacteristic
77C23×C8C2311yescharacteristic
78#556—21no—
79#555—21no—
80#554—21no—
81#553—21no—
82#553—21no—
83#552—21no—
84#552—21no—
85#552—41no—
86#551—41no—
87#551—41no—
88#547—21no—
89#546—41no—
90#533—21no—
91#529—41no—
92#529—41no—
93#529—41no—
94#525—21no—
95#525—21no—
96C4×#41—21no—
97C4×#41—41no—
98C2×C4×D4D411yescharacteristic
99C2×#117—21no—
100C2×#117—21no—
101C2×#117—21no—
102C22×C4⋊C4—21no—
103C2×M32—21no—
104C2×M32—21no—
105C2×M32—22no—
106C2×M32—22no—
107C2×M32—41no—
108C2×M32—41no—
109C2×M32C2311yescharacteristic
110C2×M32C2311yescharacteristic
111C2×M32C2311yescharacteristic
112C2×M32C2311yescharacteristic
113C22×C16—21no—
114C22×C16—21no—
115#500C2×C411yescharacteristic, complemented
116#500C2×C411yescharacteristic, complemented
117#499—21no—
118#499C2×C411yescharacteristic, complemented
119#499C2×C411yescharacteristic, complemented
120#498—21no—
121#485—21no—
122#485—21no—
123#485—21no—
124#485—21no—
125#484—21no—
126#484—21no—
127#483—21no—
128#483—21no—
129#482—21no—
130#482—21no—
131#482—21no—
132#482—21no—
133#481—21no—
134#481—21no—
135#480—21no—
136#480—21no—
137#479—21no—
138#479—21no—
139#478—21no—
140#478—21no—
141#477—21no—
142#476—21no—
143#475—21no—
144#474—21no—
145#467C2×C411yescharacteristic
146#467C2×C411yescharacteristic
147#467C2×C411yescharacteristic, complemented
148#467C2×C411yescharacteristic, complemented
149#466C2×C411yescharacteristic
150#466C2×C411yescharacteristic
151#466C2×C411yescharacteristic, complemented
152#466C2×C411yescharacteristic, complemented
153#465—21no—
154#465—21no—
155#465—21no—
156#465—21no—
157C4×Q16C2×C411yescharacteristic, complemented
158C4×Q16C2×C411yescharacteristic, complemented
159C4×SD16—21no—
160C4×SD16—21no—
161C4×D8C2×C411yescharacteristic, complemented
162C4×D8C2×C411yescharacteristic, complemented
163C8×D4C2×C411yescharacteristic
164C8×D4C2×C411yescharacteristic
165C8×D4C2×C411yescharacteristic
166C8×D4C2×C411yescharacteristic
167C8×D4D411yescharacteristic
168C8×D4D411yescharacteristic
169C8×D4D411yescharacteristic
170C8×D4D411yescharacteristic
171#427—21no—
172#427—21no—
173#427—21no—
174#427—21no—
175#427—21no—
176#427—22no—
177#427—41no—
178#427C2×C411yescharacteristic
179#427C2×C411yescharacteristic
180#427C2×C411yescharacteristic, complemented
181#427C2×C411yescharacteristic, complemented
182#427C2311yescharacteristic
183#427C2311yescharacteristic
184#427C2311yescharacteristic
185C2×#107—21no—
186C2×#107—21no—
187C2×#107C2×C411yescharacteristic
188C2×#107C2×C411yescharacteristic
189C2×#107C2×C411yescharacteristic, complemented
190C2×#107C2×C411yescharacteristic, complemented
191C2×#106—21no—
192C2×#106—21no—
193C2×#106—22no—
194C2×#106—21no—
195C2×#106—41no—
196C2×#106C2311yescharacteristic
197C2×#106C2311yescharacteristic
198C2×#106C2311yescharacteristic
199C2×#106C2311yescharacteristic
200C2×C4⋊C8D411yescharacteristic
201#416—21no—
202#416—21no—
203#416—21no—
204C2×C22⋊C8D411yescharacteristic
205C2×C22⋊C8D411yescharacteristic
206C2×C4×C8C2311yescharacteristic
207#388—41no—
208#387—41no—
209#386—41no—
210#382—21no—
211#380—21no—
212#380—21no—
213C4×C4⋊C4—21no—
214C4×C22⋊C4—41no—
215C4⋊C16—21no—
216C4⋊C16—21no—
217#360—22no—
218#360—22no—
219#360—41no—
220#360—41no—
221C22⋊C16—21no—
222C22⋊C16—21no—
223C22⋊C16—21no—
224C22⋊C16—21no—
225#346—21no—
226C4×C16—21no—
227#340—21no—
228#340—21no—
229#340—21no—
230C2×#41—21no—
231C2×#41—41no—
232C22×D4D811yescharacteristic
233C23×C4—41no—
234C23×C4C2×D411yescharacteristic
235C23×C4C2×D411yescharacteristic
236#135—21no—
237#135—21no—
238#135—21no—
239#135—21no—
240C2×Q16C22×C411yescharacteristic
241C2×SD16—21no—
242C2×D8C22×C411yescharacteristic
243C22×C8—21no—
244C22×C8—21no—
245C22×C8—21no—
246C22×C8—21no—
247C22×C8—21no—
248C22×C8—21no—
249C22×C8—21no—
250C22×C8—21no—
251C22×C8C22×C411yescharacteristic
252C22×C8C22×C411yescharacteristic
253C22×C8C22×C411yescharacteristic
254C22×C8C22×C411yescharacteristic
255C22×C8C2×D411yescharacteristic
256C22×C8C2×D411yescharacteristic
257C22×C8C2×D411yescharacteristic
258C22×C8C2×D411yescharacteristic
259C22×C8C2×D411yescharacteristic
260C22×C8C2×D411yescharacteristic
261C22×C8C2×D411yescharacteristic
262C22×C8C2411yescharacteristic
263C4⋊Q8—21no—
264C4⋊Q8—21no—
265#126—41no—
266#126—41no—
267#126—41no—
268#126—41no—
269#126—41no—
270#126—41no—
271#125—21no—
272#125—21no—
273#125—41no—
274#125—41no—
275#125—41no—
276#124—41no—
277#124—41no—
278#124—41no—
279#123—41no—
280#123—41no—
281#123—41no—
282#123—41no—
283#123—41no—
284#123—41no—
285#123—41no—
286#123—41no—
287C22⋊Q8—21no—
288C22⋊Q8—21no—
289C22⋊Q8—21no—
290C22⋊Q8—21no—
291C22⋊Q8—41no—
292C22⋊Q8—41no—
293C22⋊Q8—41no—
294C22⋊Q8—41no—
295C22⋊Q8—41no—
296#121—21no—
297#121—21no—
298#121—21no—
299#121—21no—
300#121—41no—
301#121—41no—
302#121—41no—
303#120—41no—
304#120—41no—
305C4×Q8—21no—
306C4×Q8—21no—
307C4×Q8—41no—
308C4×Q8—41no—
309C4×Q8—41no—
310C4×D4—21no—
311C4×D4—21no—
312C4×D4—41no—
313C4×D4—41no—
314C4×D4—41no—
315C4×D4—41no—
316C4×D4—41no—
317C4×D4—41no—
318C4×D4—41no—
319C4×D4—41no—
320C4×D4—41no—
321C4×D4C22⋊C411yescharacteristic
322C4×D4C22⋊C411yescharacteristic
323C4×D4C22⋊C411yescharacteristic
324C4×D4C22⋊C411yescharacteristic
325C4×D4SD1611yescharacteristic
326C4×D4SD1611yescharacteristic
327C4×D4SD1611yescharacteristic
328C4×D4SD1611yescharacteristic
329#117—21no—
330#117—21no—
331#117—21no—
332#117—21no—
333#117—21no—
334#117—21no—
335#117—21no—
336#117—41no—
337#117—41no—
338#117—41no—
339#117—41no—
340#117—41no—
341#117—41no—
342#117—41no—
343#117—41no—
344#117—42no—
345#117—81no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—42no—
355C2×C4⋊C4—41no—
356C2×C4⋊C4—81no—
357C2×C4⋊C4D811yescharacteristic
358C2×C22⋊C4—41no—
359C2×C22⋊C4—41no—
360C2×C22⋊C4—41no—
361C2×C22⋊C4—41no—
362C2×C22⋊C4—41no—
363C2×C22⋊C4D811yescharacteristic
364C2×C22⋊C4D811yescharacteristic
365C2×C42—41no—
366C2×C42—41no—
367C2×C42—41no—
368C2×C42—41no—
369C2×C42—41no—
370C2×C42C2×D411yescharacteristic
371M32—21no—
372M32—21no—
373M32—21no—
374M32—21no—
375M32—21no—
376M32—21no—
377M32—21no—
378M32—42no—
379M32—42no—
380M32#4112yescomplemented
381C2×C16—21no—
382C2×C16—21no—
383C2×C16—21no—
384C2×C16—21no—
385C2×C16—42no—
386C2×C16—42no—
387#107—21no—
388#107—21no—
389#107—21no—
390#107—21no—
391#107—21no—
392#107—21no—
393#107—42no—
394#107—81no—
395#107C22×C411yescharacteristic
396#107C22×C411yescharacteristic
397#107C22×C411yescharacteristic
398#107C22×C411yescharacteristic
399#107C22×C411yescharacteristic
400#107C22×C411yescharacteristic
401#106—21no—
402#106—21no—
403#106—21no—
404#106—21no—
405#106—21no—
406#106—21no—
407#106—21no—
408#106—21no—
409#106—21no—
410#106—21no—
411#106—21no—
412#106—21no—
413#106—21no—
414#106—21no—
415#106—21no—
416#106—21no—
417#106—42no—
418#106#4112yescomplemented
419C4⋊C8C22⋊C411yescharacteristic
420C4⋊C8C22⋊C411yescharacteristic
421C4⋊C8C22⋊C411yescharacteristic
422C4⋊C8C22⋊C411yescharacteristic
423#103—21no—
424#103—21no—
425#103—21no—
426#103—21no—
427#103—21no—
428#103—21no—
429#102—21no—
430#102—21no—
431#102—21no—
432#102—21no—
433#102—21no—
434#102—21no—
435C22⋊C8C22⋊C411yescharacteristic
436C22⋊C8C22⋊C411yescharacteristic
437C22⋊C8C22⋊C411yescharacteristic
438C22⋊C8C22⋊C411yescharacteristic
439C22⋊C8C22⋊C411yescharacteristic
440C22⋊C8C22⋊C411yescharacteristic
441C22⋊C8C22⋊C411yescharacteristic
442C22⋊C8C22⋊C411yescharacteristic
443C4×C8C22×C411yescharacteristic
444C4×C8C22×C411yescharacteristic
445C4×C8C2×D411yescharacteristic
446C4×C8C2×D411yescharacteristic
447#95—41no—
448#95—41no—
449#95—41no—
450#95—41no—
451#95—41no—
452C24C2×D811yescharacteristic
453C24C2×D811yescharacteristic
454#41—41no—
455#41—41no—
456#41—41no—
457#41—41no—
458#41—84no—
459C2×Q8—21no—
460C2×Q8—41no—
461C2×Q8—41no—
462C2×D4—21no—
463C2×D4—42no—
464C2×D4—41no—
465C2×D4—41no—
466C2×D4—41no—
467C2×D4—41no—
468C2×D4—41no—
469C2×D4#10211yescharacteristic
470C2×D4#10211yescharacteristic
471C2×D4#10211yescharacteristic
472C2×D4#10211yescharacteristic
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—41no—
482C22×C4—41no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—41no—
491C22×C4—41no—
492C22×C4—82no—
493C22×C4—82no—
494C22×C4—161no—
495C22×C4C2×C22⋊C411yescharacteristic
496C22×C4C2×C22⋊C411yescharacteristic
497C22×C4C2×C22⋊C411yescharacteristic
498C22×C4C2×C22⋊C411yescharacteristic
499C22×C4C2×D811yescharacteristic
500C22×C4C2×D811yescharacteristic
501C22×C4C2×D811yescharacteristic
502C22×C4C2×D811yescharacteristic
503C22×C4C2×SD1611yescharacteristic
504C22×C4C2×SD1611yescharacteristic
505C22×C4C2×SD1611yescharacteristic
506C22×C4C2×SD1611yescharacteristic
507C22×C4C22×D411yescharacteristic
508Q16—21no—
509Q16—21no—
510SD16—41no—
511SD16—41no—
512D8—21no—
513D8—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—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8C2×C22⋊C411yescharacteristic
537C2×C8C2×C22⋊C411yescharacteristic
538C2×C8C2×C22⋊C411yescharacteristic
539C2×C8C2×C22⋊C411yescharacteristic
540C2×C8C2×C22⋊C411yescharacteristic
541C2×C8C2×C22⋊C411yescharacteristic
542C2×C8C23×C411yescharacteristic
543C2×C8C22×D411yescharacteristic
544C2×C8C2×#4111yescharacteristic
545C2×C8C2×#4111yescharacteristic
546C2×C8H(5,𝔽2)11yescharacteristic
547C2×C82−1+411yescharacteristic
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—22no—
555C4⋊C4—41no—
556C4⋊C4—41no—
557C4⋊C4—41no—
558C4⋊C4—41no—
559C4⋊C4—41no—
560C4⋊C4—41no—
561C4⋊C4—41no—
562C4⋊C4—41no—
563C4⋊C4—41no—
564C4⋊C4—41no—
565C4⋊C4—41no—
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⋊C4—41no—
575C4⋊C4—41no—
576C4⋊C4—41no—
577C4⋊C4—41no—
578C4⋊C4—82no—
579C4⋊C4#10211yescharacteristic
580C4⋊C4#10211yescharacteristic
581C4⋊C4#10211yescharacteristic
582C4⋊C4#10211yescharacteristic
583C22⋊C4—41no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C22⋊C4—41no—
588C22⋊C4—41no—
589C22⋊C4—41no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C22⋊C4—41no—
596C22⋊C4—41no—
597C22⋊C4—41no—
598C22⋊C4—41no—
599C22⋊C4—41no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—161no—
603C22⋊C4#10211yescharacteristic
604C22⋊C4#10211yescharacteristic
605C22⋊C4#10211yescharacteristic
606C22⋊C4#10211yescharacteristic
607C22⋊C4#10211yescharacteristic
608C22⋊C4#10211yescharacteristic
609C22⋊C4#10211yescharacteristic
610C22⋊C4#10211yescharacteristic
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—41no—
620C42—82no—
621C42—161no—
622C42C2×C22⋊C411yescharacteristic
623C42C2×C22⋊C411yescharacteristic
624C42C2×SD1611yescharacteristic
625C42C2×SD1611yescharacteristic
626C16—22no—
627C16—41no—
628C16—41no—
629C16—41no—
630C23—21no—
631C23—22no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—41no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23C2×#10211yescharacteristic
640C23C2×#10211yescharacteristic
641C23C2×#10211yescharacteristic
642C23C2×#10211yescharacteristic
643C23C22×D811yescharacteristic
644Q8—41no—
645Q8—41no—
646Q8—82no—
647Q8—161no—
648D4—22no—
649D4—22no—
650D4—41no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—82no—
655D4—81no—
656D4—82no—
657D4—81no—
658D4—161no—
659D4—161no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—41no—
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—42no—
690C2×C4—82no—
691C2×C4—81no—
692C2×C4—81no—
693C2×C4—82no—
694C2×C4—82no—
695C2×C4—81no—
696C2×C4—81no—
697C2×C4—81no—
698C2×C4—81no—
699C2×C4—81no—
700C2×C4—81no—
701C2×C4—81no—
702C2×C4—81no—
703C2×C4—81no—
704C2×C4—81no—
705C2×C4—81no—
706C2×C4—161no—
707C2×C4—161no—
708C2×C4—161no—
709C2×C4—164no—
710C2×C4C2×#10211yescharacteristic
711C2×C4C2×#10211yescharacteristic
712C2×C4C2×#10211yescharacteristic
713C2×C4C2×#10211yescharacteristic
714C2×C4C2×#10211yescharacteristic
715C2×C4C2×#10211yescharacteristic
716C2×C4C2×#10211yescharacteristic
717C2×C4C2×#10211yescharacteristic
718C2×C4C22×C22⋊C411yescharacteristic
719C2×C4#54611yescharacteristic
720C2×C4#54711yescharacteristic
721C2×C4C22×SD1611yescharacteristic
722C2×C4#57711yescharacteristic
723C2×C4#57811yescharacteristic
724C8—21no—
725C8—21no—
726C8—21no—
727C8—21no—
728C8—21no—
729C8—21no—
730C8C4×#4111yescharacteristic
731C8#52011yescharacteristic
732C8#54611yescharacteristic
733C8#54711yescharacteristic
734C22—21no—
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—81no—
750C22—81no—
751C22—81no—
752C22—81no—
753C22—81no—
754C22#214512yes—
755C22C22×#10211yescharacteristic
756C22#329411yescharacteristic
757C22#333411yescharacteristic
758C4—21no—
759C4—21no—
760C4—21no—
761C4—21no—
762C4—21no—
763C4—21no—
764C4—21no—
765C4—21no—
766C4—82no—
767C4—81no—
768C4—81no—
769C4—81no—
770C4—81no—
771C4—81no—
772C4—81no—
773C4—81no—
774C4—161no—
775C4—161no—
776C4—161no—
777C4#233911yescharacteristic
778C4#289811yescharacteristic
779C4#329811yescharacteristic
780C4#333511yescharacteristic
781C2—21no—
782C2—21no—
783C2—22no—
784C2—41no—
785C2—41no—
786C2—41no—
787C2—161no—
788C2#2248511yescharacteristic
789C2C2×#214511yescharacteristic
790C2#3338811yescharacteristic
subgroupG/H
center, socleC22C22×#102
commutatorC2×C8C23×C4
Frattini, cosocleC22×C8C24
prime radical#61234C2
LCSG ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ C2×C8×D4 ◁ G
LECSG ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. D4×M32C2semidirect
3. #22654C2semidirect
4. #13288C2semidirect
5. #13278C2semidirect
6. #13065C2semidirect
7. #13065C2semidirect
8. #13002C2semidirect
9. #13001C2semidirect
10. #12870C2semidirect
11. #12870C2semidirect
12. #12817C2semidirect
13. C4×#360C2semidirect
14. #12567C2semidirect
15. C2×#1386C2semidirect
19. #3342C4semidirect
20. #3341C4semidirect
22. #3339C4semidirect
23. #3339C4semidirect
24. #3338C4semidirect
27. #3336C4semidirect
28. #3336C4semidirect
30. #3334C4semidirect
115. #500C2×C4semidirect
116. #500C2×C4semidirect
118. #499C2×C4semidirect
119. #499C2×C4semidirect
147. #467C2×C4semidirect
148. #467C2×C4semidirect
151. #466C2×C4semidirect
152. #466C2×C4semidirect
157. C4×Q16C2×C4semidirect
158. C4×Q16C2×C4semidirect
161. C4×D8C2×C4semidirect
162. C4×D8C2×C4semidirect
180. #427C2×C4semidirect
181. #427C2×C4semidirect
189. C2×#107C2×C4semidirect
190. C2×#107C2×C4semidirect
380. M32#41semidirect
418. #106#41semidirect

Maximal subgroups

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

subgroupindex
#612342
D4×M322
#226542
#132882
#132782
#130652
#130022
#130012
#128702
#128172
C4×#3602
#125672
C2×#13862