Finite Group Databasebeta

← #6356862

Subgroups — #6356862

Order 512.

1593 conjugacy classes of subgroups.

The subgroup lattice has 1546 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62537C211yesmaximal, characteristic, complemented
2#61980C211yesmaximal, characteristic, complemented
3#61977C211yesmaximal, characteristic
4#60311C211yesmaximal, characteristic, complemented
5#19590C211yesmaximal, characteristic, complemented
6#19581C211yesmaximal, characteristic, complemented
7#19546C211yesmaximal, characteristic, complemented
8#19543C211yesmaximal, characteristic, complemented
9#19514C211yesmaximal, characteristic, complemented
10#19511C211yesmaximal, characteristic, complemented
11#19464C211yesmaximal, characteristic, complemented
12#19456C211yesmaximal, characteristic, complemented
13#19416C211yesmaximal, characteristic, complemented
14#19413C211yesmaximal, characteristic, complemented
15#19392C211yesmaximal, characteristic, complemented
16#19388C211yesmaximal, characteristic, complemented
17#19383C211yesmaximal, characteristic, complemented
18#19368C211yesmaximal, characteristic, complemented
19#19364C211yesmaximal, characteristic, complemented
20#19319C211yesmaximal, characteristic, complemented
21#19304C211yesmaximal, characteristic, complemented
22#19259C211yesmaximal, characteristic, complemented
23#19252C211yesmaximal, characteristic, complemented
24#19237C211yesmaximal, characteristic, complemented
25#19223C211yesmaximal, characteristic, complemented
26#19178C211yesmaximal, characteristic, complemented
27#19169C211yesmaximal, characteristic, complemented
28C2×#1681C211yesmaximal, characteristic, complemented
29#17840C211yesmaximal, characteristic, complemented
30#17774C211yesmaximal, characteristic, complemented
31#17771C211yesmaximal, characteristic, complemented
32#3508C2211yescharacteristic
33#3503C2211yescharacteristic
34#3481C2211yescharacteristic
35#3403—21no—
36#3400—21no—
37#3375—21no—
38#3375—21no—
39#3372—21no—
40#3370—21no—
41#3333—21no—
42#3333—21no—
43#3320—21no—
44#3320—21no—
45#3314—21no—
46#3314—21no—
47#3314—21no—
48#3314—21no—
49#3314—21no—
50#3309—21no—
51#3299—21no—
52#3297—21no—
53D4×SD16—21no—
54#3280—21no—
55#3268—21no—
56#3266—21no—
57#3266—21no—
58#3264—21no—
59#3254C2211yescharacteristic, complemented
60#3251C2211yescharacteristic
61#3248C2211yescharacteristic
62#3248C2211yescharacteristic
63#3248C2211yescharacteristic, complemented
64#3245C2211yescharacteristic
65#3230C2211yescharacteristic, complemented
66#3226C2211yescharacteristic, complemented
67#3226C2211yescharacteristic, complemented
68#3218C2211yescharacteristic
69#3218C2211yescharacteristic, complemented
70#3217C2211yescharacteristic
71#3214C2211yescharacteristic
72#3212C2211yescharacteristic
73#3210C2211yescharacteristic, complemented
74#3210C2211yescharacteristic, complemented
75#3208C2211yescharacteristic, complemented
76#3206C2211yescharacteristic, complemented
77#3182C2211yescharacteristic, complemented
78#3182C2211yescharacteristic, complemented
79#3170C2211yescharacteristic, complemented
80#3141C2211yescharacteristic, complemented
81#3141C2211yescharacteristic, complemented
82C2×#486C2211yescharacteristic, complemented
83#3115C2211yescharacteristic
84#3110C2211yescharacteristic
85#3110C2211yescharacteristic
86#3110C2211yescharacteristic, complemented
87#3107C2211yescharacteristic, complemented
88#3100C2211yescharacteristic
89#3039C2211yescharacteristic, complemented
90#3036C2211yescharacteristic
91#3035C2211yescharacteristic
92C2×#461C2211yescharacteristic
93C2×#461C2211yescharacteristic, complemented
94C2×#459C2211yescharacteristic
95#2994C2211yescharacteristic
96#2993C2211yescharacteristic, complemented
97#2992—21no—
98#2990C2211yescharacteristic
99#2990C2211yescharacteristic
100#2990C2211yescharacteristic
101#2988C2211yescharacteristic, complemented
102#2981C2211yescharacteristic, complemented
103#2977—21no—
104#2976—21no—
105#2974—21no—
106#2974C2211yescharacteristic
107#2972C2211yescharacteristic, complemented
108#2970C2211yescharacteristic, complemented
109#2969C2211yescharacteristic, complemented
110#2968—21no—
111#2966C2211yescharacteristic
112#2965C2211yescharacteristic
113#2935C2211yescharacteristic, complemented
114D4×M16C2211yescharacteristic, complemented
115#2933—21no—
116#2929—21no—
117C2×#435—21no—
118C2×C8×D4C2211yescharacteristic
119#1702C2211yescharacteristic, complemented
120#1702C2211yescharacteristic, complemented
121#1702C2211yescharacteristic, complemented
122#1701C2211yescharacteristic, complemented
123#1701C2211yescharacteristic, complemented
124#1701C2211yescharacteristic, complemented
125#1701C2211yescharacteristic, complemented
126#1701C2211yescharacteristic, complemented
127#1700C2211yescharacteristic, complemented
128#1700C2211yescharacteristic, complemented
129#1700C2211yescharacteristic, complemented
130#1699C2211yescharacteristic, complemented
131#1699C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1694C2211yescharacteristic, complemented
136#1693C2211yescharacteristic, complemented
137#1693C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1686C2211yescharacteristic, complemented
140#1685C2211yescharacteristic, complemented
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1682C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic
147#1681C2211yescharacteristic
148#1681C2211yescharacteristic
149#1681C2211yescharacteristic
150#1681C2211yescharacteristic
151#1681C2211yescharacteristic
152#1681C2211yescharacteristic, complemented
153#1681C2211yescharacteristic, complemented
154#1681C2211yescharacteristic, complemented
155#1681C2211yescharacteristic, complemented
156#1681C2211yescharacteristic, complemented
157#1681C2211yescharacteristic, complemented
158#1681C2211yescharacteristic, complemented
159#1680C2211yescharacteristic, complemented
160#1679C2211yescharacteristic, complemented
161#1679C2211yescharacteristic, complemented
162#1679C2211yescharacteristic, complemented
163#1679C2211yescharacteristic, complemented
164#1679C2211yescharacteristic, complemented
165#1679C2211yescharacteristic, complemented
166#1679C2211yescharacteristic, complemented
167#1674C2211yescharacteristic, complemented
168#1674C2211yescharacteristic, complemented
169#1673C2211yescharacteristic, complemented
170#1673C2211yescharacteristic, complemented
171#1673C2211yescharacteristic, complemented
172#1673C2211yescharacteristic, complemented
173#1673C2211yescharacteristic, complemented
174#1673C2211yescharacteristic, complemented
175#1670C2211yescharacteristic, complemented
176#1669C2211yescharacteristic, complemented
177#1669C2211yescharacteristic, complemented
178#1669C2211yescharacteristic, complemented
179#1666C2211yescharacteristic, complemented
180#1665C2211yescharacteristic
181#1665C2211yescharacteristic
182#1665C2211yescharacteristic, complemented
183#1573C2211yescharacteristic, complemented
184#1573C2211yescharacteristic, complemented
185#1572C2211yescharacteristic, complemented
186#1572C2211yescharacteristic, complemented
187#1571C2211yescharacteristic, complemented
188#1571C2211yescharacteristic, complemented
189#1569C2211yescharacteristic, complemented
190#1569C2211yescharacteristic, complemented
191#1568C2211yescharacteristic, complemented
192#1565C2211yescharacteristic, complemented
193#1565C2211yescharacteristic, complemented
194C2×#335C2211yescharacteristic, complemented
195#1561C2211yescharacteristic, complemented
196#1557C2211yescharacteristic, complemented
197#1557C2211yescharacteristic, complemented
198#1556C2211yescharacteristic, complemented
199#1556C2211yescharacteristic, complemented
200#1555C2211yescharacteristic, complemented
201#1553C2211yescharacteristic, complemented
202#1553C2211yescharacteristic, complemented
203#1552C2211yescharacteristic, complemented
204#1552C2211yescharacteristic, complemented
205#1552C2211yescharacteristic, complemented
206#1552C2211yescharacteristic, complemented
207#1552C2211yescharacteristic, complemented
208#1552C2211yescharacteristic, complemented
209#1549C2211yescharacteristic, complemented
210#1547C2211yescharacteristic, complemented
211#1547C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1544C2211yescharacteristic, complemented
214#1540C2211yescharacteristic, complemented
215#1540C2211yescharacteristic, complemented
216C2×#332C2211yescharacteristic, complemented
217C2×#332C2211yescharacteristic, complemented
218C2×#331C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×#135—21no—
222C22×SD16—21no—
223C22×SD16—21no—
224C22×D8—21no—
225C2×#131—21no—
226C22×M16—21no—
227C23×C8—21no—
228#559—21no—
229#559—21no—
230#559D411yescharacteristic
231Q82—21no—
232#557—21no—
233#554—21no—
234#554—21no—
235#554—21no—
236#554D411yescharacteristic
237#554D411yescharacteristic
238#553—21no—
239#553D411yescharacteristic
240#553D411yescharacteristic
241#551—21no—
242#551—21no—
243#550—21no—
244#550—21no—
245D4×Q8—21no—
246D4×Q8—21no—
247D4×Q8—21no—
248#546—21no—
249#546—21no—
250#546—21no—
251#546—21no—
252#546—21no—
253#546D411yescharacteristic
254#546D411yescharacteristic
255D42D411yescharacteristic
256#544—21no—
257#544—21no—
258#544—21no—
259#540—21no—
260#540—21no—
261#535—21no—
262#533C2311yescharacteristic
263#533C2311yescharacteristic
264#533C2311yescharacteristic
265#533C2311yescharacteristic
266#532C2311yescharacteristic
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×#127C2311yescharacteristic
275#529—21no—
276#529C2311yescharacteristic
277#529C2311yescharacteristic
278#525—21no—
279#525—21no—
280#520—21no—
281#518—21no—
282C4×#41C2311yescharacteristic
283C4×#41C2311yescharacteristic
284C2×C4×D4—21no—
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287#500C2311yescharacteristic
288#500C2311yescharacteristic
289#500C2311yescharacteristic
290#497—21no—
291#497—21no—
292#496—21no—
293#496—21no—
294#495—21no—
295#494C2311yescharacteristic
296#492—21no—
297#492C2311yescharacteristic
298#492C2311yescharacteristic
299#491—21no—
300#491—21no—
301#490—21no—
302#489—21no—
303#489—21no—
304#489—21no—
305#489—21no—
306#489—21no—
307#488—21no—
308#487—21no—
309#487C2311yescharacteristic
310#487C2311yescharacteristic
311#487C2311yescharacteristic
312#487C2311yescharacteristic
313#486—21no—
314#486—21no—
315#486C2311yescharacteristic
316#486C2311yescharacteristic
317#486C2311yescharacteristic
318#486C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#485—21no—
322#484—21no—
323#484—21no—
324#484—21no—
325#484—21no—
326#484—21no—
327#482—21no—
328#480—21no—
329#480—21no—
330#480—21no—
331#480—21no—
332#480—21no—
333#479—21no—
334#479—21no—
335#479—21no—
336#478—21no—
337#477—21no—
338#477—21no—
339#477—21no—
340#475C2311yescharacteristic
341#475C2311yescharacteristic
342#474—21no—
343#474—21no—
344#474—21no—
345#474—21no—
346#474—21no—
347#474C2311yescharacteristic
348#474C2311yescharacteristic
349#474C2311yescharacteristic
350#474C2311yescharacteristic
351#474C2311yescharacteristic
352#474C2311yescharacteristic
353#469—21no—
354#468—21no—
355#468—21no—
356#468—21no—
357#468—21no—
358#468—21no—
359#468—21no—
360#468—21no—
361#467—21no—
362#467—21no—
363#467—21no—
364#467—21no—
365#467—21no—
366#466—21no—
367#466—21no—
368#465—21no—
369#465—21no—
370#465—21no—
371#464—21no—
372#464—21no—
373#464—21no—
374#464—21no—
375#464—21no—
376#464—21no—
377#464—21no—
378#464—21no—
379#463—21no—
380#463—21no—
381#463—21no—
382#463—21no—
383#462—21no—
384#462C2311yescharacteristic
385#462C2311yescharacteristic
386#462C2311yescharacteristic
387#462C2311yescharacteristic
388#461—21no—
389#461—21no—
390#461—21no—
391#461—21no—
392#461—21no—
393#461C2311yescharacteristic
394#461C2311yescharacteristic
395#461C2311yescharacteristic
396#461C2311yescharacteristic
397#461C2311yescharacteristic
398#461C2311yescharacteristic
399#461C2311yescharacteristic
400#461C2311yescharacteristic
401#461C2311yescharacteristic
402#461C2311yescharacteristic
403#461C2311yescharacteristic
404#461C2311yescharacteristic
405#460—21no—
406#460—21no—
407#460—21no—
408#460C2311yescharacteristic
409#460C2311yescharacteristic
410#459—21no—
411#459—21no—
412#459—21no—
413#459C2311yescharacteristic
414#459C2311yescharacteristic
415#459C2311yescharacteristic
416#459C2311yescharacteristic
417#459C2311yescharacteristic
418#459C2311yescharacteristic
419#452—21no—
420#452—21no—
421#452—21no—
422#452—21no—
423#452—21no—
424#452—21no—
425#451—21no—
426#451—21no—
427#450—21no—
428#450—21no—
429#450—21no—
430#450—21no—
431#450—21no—
432#450—21no—
433#449—21no—
434#449—21no—
435#449—21no—
436#449—21no—
437#448—21no—
438#448—21no—
439#448—21no—
440#448—21no—
441#447—21no—
442#447—21no—
443#446—21no—
444#446—21no—
445#446—21no—
446#446D411yescharacteristic
447#446D411yescharacteristic
448#446C2311yescharacteristic
449#446C2311yescharacteristic
450C8×Q8C2311yescharacteristic
451C8×Q8C2311yescharacteristic
452#442—21no—
453#440—21no—
454#440—21no—
455#440—21no—
456#440—21no—
457#440—21no—
458#440—21no—
459#440—21no—
460#440—21no—
461#440—21no—
462#440—21no—
463#440—21no—
464C4×Q16—21no—
465C4×Q16—21no—
466C4×Q16—21no—
467C4×SD16—21no—
468C4×D8—21no—
469C4×D8—21no—
470#436—21no—
471#436—21no—
472#436D411yescharacteristic
473#436D411yescharacteristic
474#436C2311yescharacteristic
475#436C2311yescharacteristic
476#436C2311yescharacteristic
477#436C2311yescharacteristic
478#435—21no—
479#435—21no—
480#435—21no—
481#435—21no—
482#435—21no—
483#435—21no—
484#435—21no—
485#435—21no—
486#435—21no—
487#435—21no—
488#435—21no—
489#435—21no—
490#435—21no—
491#435—21no—
492#435—21no—
493#435—21no—
494#435—21no—
495#435—21no—
496#435—21no—
497#435—21no—
498#435D411yescharacteristic
499#435D411yescharacteristic
500#435D411yescharacteristic
501#435D411yescharacteristic
502C8×D4—21no—
503C8×D4—21no—
504C8×D4—21no—
505C8×D4—21no—
506C8×D4—21no—
507C8×D4—21no—
508C8×D4—21no—
509C8×D4—21no—
510C8×D4—21no—
511C8×D4—21no—
512C8×D4—21no—
513C8×D4C2311yescharacteristic
514C8×D4C2311yescharacteristic
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517C8×D4C2311yescharacteristic
518C8×D4C2311yescharacteristic
519C8×D4C2311yescharacteristic
520C8×D4C2311yescharacteristic
521#433—21no—
522#433—21no—
523#433—21no—
524#433—21no—
525#432—21no—
526#432C2311yescharacteristic
527#432C2311yescharacteristic
528#432C2311yescharacteristic
529#432C2311yescharacteristic
530#432C2311yescharacteristic
531#432C2311yescharacteristic
532#431—21no—
533#431C2311yescharacteristic
534#431C2311yescharacteristic
535#431C2311yescharacteristic
536#431C2311yescharacteristic
537#431C2311yescharacteristic
538#431C2311yescharacteristic
539#424—21no—
540#424—21no—
541#423C2311yescharacteristic
542#423C2311yescharacteristic
543#423C2311yescharacteristic
544C2×C4⋊C8—21no—
545C2×C4⋊C8C2311yescharacteristic
546C2×C4⋊C8C2311yescharacteristic
547C2×C4⋊C8C2311yescharacteristic
548C2×C4⋊C8C2311yescharacteristic
549C2×C4⋊C8C2311yescharacteristic
550C2×C4⋊C8C2311yescharacteristic
551#419—21no—
552#417—21no—
553#417—21no—
554#417—21no—
555#417—21no—
556#417—21no—
557#416—21no—
558C2×#103—21no—
559C2×#103—21no—
560C2×#102—21no—
561C2×#102—21no—
562C2×#102—21no—
563#408—21no—
564#408—21no—
565#408—21no—
566#407—21no—
567#407—21no—
568C2×C22⋊C8—21no—
569C2×C22⋊C8—21no—
570C2×C22⋊C8—21no—
571C2×C22⋊C8—21no—
572#405—21no—
573#405—21no—
574C4×M16C2311yescharacteristic
575C4×M16C2311yescharacteristic
576C2×#97—21no—
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#334C2311yescharacteristic
592#334C2311yescharacteristic
593#334C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#332C2311yescharacteristic
605#332C2311yescharacteristic
606#332C2311yescharacteristic
607#332C2311yescharacteristic
608#332C2311yescharacteristic
609#332C2311yescharacteristic
610#332C2311yescharacteristic
611#332C2311yescharacteristic
612#332C2311yescharacteristic
613#332C2311yescharacteristic
614#332C2311yescharacteristic
615#332C2311yescharacteristic
616#332C2311yescharacteristic
617#332C2311yescharacteristic
618#331C2311yescharacteristic
619#331C2311yescharacteristic
620#331C2311yescharacteristic
621#331C2311yescharacteristic
622#331C2311yescharacteristic
623#331C2311yescharacteristic
624#331C2311yescharacteristic
625#331C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41C2×D411yescharacteristic
632C2×#41#4111yescharacteristic
633C22×Q8—21no—
634C22×Q8—21no—
635C22×Q8—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C23×C4—21no—
643C23×C4—21no—
644#137—82no—
645AGL(1,ℤ/8)—82no—
646#135—82no—
647C2×Q16—21no—
648C2×Q16—21no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—82no—
672C2×SD16—82no—
673C2×D8—21no—
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8—21no—
679C2×D8—82no—
680#131—82no—
681C2×M16—21no—
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—82no—
689C2×M16C2×D411yescharacteristic
690C2×M16C2×D411yescharacteristic
691C2×M16C2×D411yescharacteristic
692C2×M16C2×D411yescharacteristic
693C22×C8—21no—
694C22×C8—21no—
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8—21no—
702C22×C8—21no—
703C22×C8—21no—
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—82no—
708C22×C8C2×D411yescharacteristic
709C22×C8C2×D411yescharacteristic
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—41no—
720C4⋊Q8—41no—
721C4⋊Q8—41no—
722C4⋊Q8C2×D411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729#127—21no—
730#127—21no—
731#127—21no—
732#127—41no—
733#127C2×D411yescharacteristic
734#127C2411yescharacteristic
735#127C2411yescharacteristic
736#126—21no—
737#126—21no—
738#126—21no—
739#126—21no—
740#125—21no—
741#125—21no—
742#125—21no—
743#125—21no—
744#125—21no—
745#125—41no—
746#125—41no—
747#125—41no—
748#125C2×D411yescharacteristic
749#125C2×D411yescharacteristic
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—41no—
757#124C2×D411yescharacteristic
758#124C2×D411yescharacteristic
759#123—21no—
760#123—21no—
761#123—21no—
762#123—21no—
763#123—21no—
764#123—21no—
765#123—21no—
766#123—21no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8C2×D411yescharacteristic
791C22⋊Q8C2×D411yescharacteristic
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121C2×D411yescharacteristic
811#121C2×D411yescharacteristic
812#121C2×D411yescharacteristic
813#121C2×D411yescharacteristic
814#120—21no—
815#120—21no—
816#120—21no—
817#120—21no—
818#120—41no—
819#120—41no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—41no—
829C4×Q8C2×D411yescharacteristic
830C4×Q8C2×D411yescharacteristic
831C4×Q8C2×D411yescharacteristic
832C4×Q8C2411yescharacteristic
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4C2×D411yescharacteristic
860C4×D4C2×D411yescharacteristic
861C4×D4C2×D411yescharacteristic
862C4×D4C2×D411yescharacteristic
863C4×D4C2×D411yescharacteristic
864C4×D4C2×D411yescharacteristic
865C4×D4C2×D411yescharacteristic
866C4×D4C2×D411yescharacteristic
867C4×D4C2×D411yescharacteristic
868C4×D4C2×D411yescharacteristic
869C4×D4C2×D411yescharacteristic
870C4×D4C2411yescharacteristic
871C4×D4C2411yescharacteristic
872C4×D4C2411yescharacteristic
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—21no—
880#117C2×D411yescharacteristic
881#117#4111yescharacteristic
882#117#4111yescharacteristic
883#117#4111yescharacteristic
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4C2×D411yescharacteristic
892C2×C4⋊C4C2×D411yescharacteristic
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C22⋊C4—21no—
896C2×C22⋊C4—21no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C42—21no—
900C2×C42C2411yescharacteristic
901C2×C42C2411yescharacteristic
902C2×C42C2411yescharacteristic
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#106—21no—
916#106—21no—
917C4⋊C8—21no—
918C4⋊C8—21no—
919C4⋊C8—21no—
920C4⋊C8—21no—
921C4⋊C8—21no—
922C4⋊C8—21no—
923C4⋊C8—21no—
924C4⋊C8—21no—
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8—21no—
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8C2×D411yescharacteristic
931C4⋊C8C2×D411yescharacteristic
932C4⋊C8C2×D411yescharacteristic
933C4⋊C8C2×D411yescharacteristic
934C4⋊C8C2×D411yescharacteristic
935C4⋊C8C2×D411yescharacteristic
936C4⋊C8C2411yescharacteristic
937C4⋊C8C2411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#102—21no—
975#102—21no—
976#102—21no—
977#102—21no—
978#102—21no—
979#102—21no—
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000C22⋊C8—21no—
1001C22⋊C8—21no—
1002C22⋊C8—21no—
1003C22⋊C8—21no—
1004C22⋊C8—21no—
1005C22⋊C8—21no—
1006C22⋊C8—21no—
1007C22⋊C8—21no—
1008C22⋊C8—21no—
1009C22⋊C8—21no—
1010C22⋊C8—21no—
1011C22⋊C8—21no—
1012C22⋊C8—21no—
1013C22⋊C8—21no—
1014C22⋊C8—21no—
1015C22⋊C8—21no—
1016C22⋊C8—21no—
1017C22⋊C8—21no—
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8C2×D411yescharacteristic
1022C22⋊C8C2×D411yescharacteristic
1023C22⋊C8C2×D411yescharacteristic
1024C22⋊C8C2×D411yescharacteristic
1025C22⋊C8C2×D411yescharacteristic
1026C22⋊C8C2×D411yescharacteristic
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97C2×D411yescharacteristic
1036#97C2×D411yescharacteristic
1037#97C2×D411yescharacteristic
1038#97C2×D411yescharacteristic
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C24—21no—
1051C24—21no—
1052C24—41no—
1053#41—22no—
1054#41—42no—
1055#41—41no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—41no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—81no—
1077C2×Q8—81no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8#12111yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—82no—
1115C2×D4—82no—
1116C2×D4#12111yescharacteristic
1117C2×D4#12111yescharacteristic
1118C2×D4#12111yescharacteristic
1119C2×D4C22×D411yescharacteristic
1120C2×D4C22×D411yescharacteristic
1121C2×D4C22×D411yescharacteristic
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C2×#4111yescharacteristic
1151C22×C4C2×#4111yescharacteristic
1152C22×C4C2×#4111yescharacteristic
1153Q16—81no—
1154Q16—81no—
1155Q16—81no—
1156Q16—81no—
1157Q16—81no—
1158Q16—81no—
1159SD16—42no—
1160SD16—42no—
1161SD16—42no—
1162SD16—42no—
1163SD16—81no—
1164SD16—81no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177D8—42no—
1178D8—42no—
1179D8—81no—
1180D8—81no—
1181D8—81no—
1182D8—81no—
1183M16—41no—
1184M16—41no—
1185M16—41no—
1186M16—41no—
1187M16—42no—
1188M16—81no—
1189M16—81no—
1190M16—81no—
1191M16—81no—
1192M16—81no—
1193M16—81no—
1194C2×C8—21no—
1195C2×C8—21no—
1196C2×C8—21no—
1197C2×C8—21no—
1198C2×C8—21no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—41no—
1207C2×C8—41no—
1208C2×C8—42no—
1209C2×C8—42no—
1210C2×C8—81no—
1211C2×C8—81no—
1212C2×C8—81no—
1213C2×C8—81no—
1214C2×C8—81no—
1215C2×C8—81no—
1216C2×C8—81no—
1217C2×C8—81no—
1218C2×C8—81no—
1219C2×C8—81no—
1220C2×C8—81no—
1221C2×C8—81no—
1222C2×C8C22×D411yescharacteristic
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4#12111yescharacteristic
1268C4⋊C4#12111yescharacteristic
1269C4⋊C4#12111yescharacteristic
1270C4⋊C4#12111yescharacteristic
1271C4⋊C4#12111yescharacteristic
1272C4⋊C4#12111yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—21no—
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4#12111yescharacteristic
1309C22⋊C4#12111yescharacteristic
1310C22⋊C4#12111yescharacteristic
1311C22⋊C4#12111yescharacteristic
1312C22⋊C4#12111yescharacteristic
1313C22⋊C4#12111yescharacteristic
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42C22×D411yescharacteristic
1322C42C22×D411yescharacteristic
1323C42C22×D411yescharacteristic
1324C42C22×D411yescharacteristic
1325C42C22×D411yescharacteristic
1326C42C22×D411yescharacteristic
1327C42C2×#4111yescharacteristic
1328C42C2×#4111yescharacteristic
1329C42C2×#4111yescharacteristic
1330C42C2511yescharacteristic
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—42no—
1335C23—42no—
1336C23—42no—
1337C23—41no—
1338C23—41no—
1339C23—81no—
1340C23—81no—
1341C23—81no—
1342C23—82no—
1343C23—161no—
1344C23—161no—
1345C23C2×#12111yescharacteristic
1346C23C2×#12111yescharacteristic
1347C23C2×#12111yescharacteristic
1348Q8—21no—
1349Q8—21no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—81no—
1364Q8—161no—
1365Q8—161no—
1366Q8—161no—
1367D4—22no—
1368D4—22no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—41no—
1375D4—42no—
1376D4—42no—
1377D4—42no—
1378D4—42no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—81no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—82no—
1392D4—81no—
1393D4—81no—
1394D4—81no—
1395D4—161no—
1396D4—161no—
1397D4—161no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401D4#57612yes—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—42no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—81no—
1436C2×C4—81no—
1437C2×C4—81no—
1438C2×C4—81no—
1439C2×C4—81no—
1440C2×C4—81no—
1441C2×C4—81no—
1442C2×C4—161no—
1443C2×C4—161no—
1444C2×C4—161no—
1445C2×C4—161no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4C2×#12111yescharacteristic
1450C2×C4C2×#12111yescharacteristic
1451C2×C4C2×#12111yescharacteristic
1452C2×C4C2×#12111yescharacteristic
1453C2×C4C2×#12111yescharacteristic
1454C2×C4C2×#12111yescharacteristic
1455C2×C4C2×#12111yescharacteristic
1456C2×C4C2×#12111yescharacteristic
1457C2×C4C2×#12111yescharacteristic
1458C2×C4C23×D411yescharacteristic
1459C2×C4C23×D411yescharacteristic
1460C2×C4C22×#4111yescharacteristic
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C22—21no—
1482C22—21no—
1483C22—21no—
1484C22—21no—
1485C22—21no—
1486C22—21no—
1487C22—22no—
1488C22—21no—
1489C22—21no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—84no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—162no—
1506C22—322no—
1507C22#306912yes—
1508C22C22×#12111yescharacteristic
1509C4—21no—
1510C4—21no—
1511C4—21no—
1512C4—21no—
1513C4—21no—
1514C4—21no—
1515C4—21no—
1516C4—21no—
1517C4—21no—
1518C4—21no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4—81no—
1529C4—81no—
1530C4C2×#57611yescharacteristic
1531C4#358411yescharacteristic
1532C4#358411yescharacteristic
1533C4#358511yescharacteristic
1534C2—22no—
1535C2—41no—
1536C2—41no—
1537C2—42no—
1538C2—81no—
1539C2—81no—
1540C2—161no—
1541C2—161no—
1542C2#6043011yescharacteristic
1543C2#6045811yescharacteristic
1544C2C2×#306911yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
prime radical#61977C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C4×#41 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #62537C2semidirect
2. #61980C2semidirect
4. #60311C2semidirect
5. #19590C2semidirect
6. #19581C2semidirect
7. #19546C2semidirect
8. #19543C2semidirect
9. #19514C2semidirect
10. #19511C2semidirect
11. #19464C2semidirect
12. #19456C2semidirect
13. #19416C2semidirect
14. #19413C2semidirect
15. #19392C2semidirect
16. #19388C2semidirect
17. #19383C2semidirect
18. #19368C2semidirect
19. #19364C2semidirect
20. #19319C2semidirect
21. #19304C2semidirect
22. #19259C2semidirect
23. #19252C2semidirect
24. #19237C2semidirect
25. #19223C2semidirect
26. #19178C2semidirect
27. #19169C2semidirect
28. C2×#1681C2semidirect
29. #17840C2semidirect
30. #17774C2semidirect
31. #17771C2semidirect
59. #3254C22semidirect
63. #3248C22semidirect
65. #3230C22semidirect
66. #3226C22semidirect
67. #3226C22semidirect
69. #3218C22semidirect
73. #3210C22semidirect
74. #3210C22semidirect
75. #3208C22semidirect
76. #3206C22semidirect
77. #3182C22semidirect
78. #3182C22semidirect
79. #3170C22semidirect
80. #3141C22semidirect
81. #3141C22semidirect
82. C2×#486C22semidirect
86. #3110C22semidirect
87. #3107C22semidirect
89. #3039C22semidirect
93. C2×#461C22semidirect
96. #2993C22semidirect
101. #2988C22semidirect
102. #2981C22semidirect
107. #2972C22semidirect
108. #2970C22semidirect
109. #2969C22semidirect
113. #2935C22semidirect
114. D4×M16C22semidirect
119. #1702C22semidirect
120. #1702C22semidirect
121. #1702C22semidirect
122. #1701C22semidirect
123. #1701C22semidirect
124. #1701C22semidirect
125. #1701C22semidirect
126. #1701C22semidirect
127. #1700C22semidirect
128. #1700C22semidirect
129. #1700C22semidirect
130. #1699C22semidirect
131. #1699C22semidirect
132. #1699C22semidirect
133. #1699C22semidirect
134. #1699C22semidirect
135. #1694C22semidirect
136. #1693C22semidirect
137. #1693C22semidirect
138. #1693C22semidirect
139. #1686C22semidirect
140. #1685C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1682C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
152. #1681C22semidirect
153. #1681C22semidirect
154. #1681C22semidirect
155. #1681C22semidirect
156. #1681C22semidirect
157. #1681C22semidirect
158. #1681C22semidirect
159. #1680C22semidirect
160. #1679C22semidirect
161. #1679C22semidirect
162. #1679C22semidirect
163. #1679C22semidirect
164. #1679C22semidirect
165. #1679C22semidirect
166. #1679C22semidirect
167. #1674C22semidirect
168. #1674C22semidirect
169. #1673C22semidirect
170. #1673C22semidirect
171. #1673C22semidirect
172. #1673C22semidirect
173. #1673C22semidirect
174. #1673C22semidirect
175. #1670C22semidirect
176. #1669C22semidirect
177. #1669C22semidirect
178. #1669C22semidirect
179. #1666C22semidirect
182. #1665C22semidirect
183. #1573C22semidirect
184. #1573C22semidirect
185. #1572C22semidirect
186. #1572C22semidirect
187. #1571C22semidirect
188. #1571C22semidirect
189. #1569C22semidirect
190. #1569C22semidirect
191. #1568C22semidirect
192. #1565C22semidirect
193. #1565C22semidirect
194. C2×#335C22semidirect
195. #1561C22semidirect
196. #1557C22semidirect
197. #1557C22semidirect
198. #1556C22semidirect
199. #1556C22semidirect
200. #1555C22semidirect
201. #1553C22semidirect
202. #1553C22semidirect
203. #1552C22semidirect
204. #1552C22semidirect
205. #1552C22semidirect
206. #1552C22semidirect
207. #1552C22semidirect
208. #1552C22semidirect
209. #1549C22semidirect
210. #1547C22semidirect
211. #1547C22semidirect
212. #1546C22semidirect
213. #1544C22semidirect
214. #1540C22semidirect
215. #1540C22semidirect
216. C2×#332C22semidirect
217. C2×#332C22semidirect
218. C2×#331C22semidirect

Maximal subgroups

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

subgroupindex
#625372
#619802
#619772
#603112
#195902
#195812
#195462
#195432
#195142
#195112
#194642
#194562
#194162
#194132
#193922
#193882
#193832
#193682
#193642
#193192
#193042
#192592
#192522
#192372
#192232
#191782
#191692
C2×#16812
#178402
#177742
#177712