Finite Group Databasebeta

← #6356478

Subgroups — #6356478

Order 512.

1592 conjugacy classes of subgroups.

The subgroup lattice has 1557 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62427C211yesmaximal, characteristic, complemented
2#60990C211yesmaximal, characteristic, complemented
3#60928C211yesmaximal, characteristic, complemented
4#60326C211yesmaximal, characteristic, complemented
5#19581C211yesmaximal, characteristic, complemented
6#19577C211yesmaximal, characteristic, complemented
7#19556C211yesmaximal, characteristic, complemented
8#19552C211yesmaximal, characteristic, complemented
9#19543C211yesmaximal, characteristic, complemented
10#19540C211yesmaximal, characteristic, complemented
11#19510C211yesmaximal, characteristic, complemented
12#19508C211yesmaximal, characteristic, complemented
13#19482C211yesmaximal, characteristic, complemented
14#19480C211yesmaximal, characteristic, complemented
15#19461C211yesmaximal, characteristic, complemented
16#19457C211yesmaximal, characteristic, complemented
17#19376C211yesmaximal, characteristic, complemented
18#19371C211yesmaximal, characteristic, complemented
19#19356C211yesmaximal, characteristic, complemented
20#19339C211yesmaximal, characteristic, complemented
21#19321C211yesmaximal, characteristic, complemented
22#19306C211yesmaximal, characteristic, complemented
23#19251C211yesmaximal, characteristic, complemented
24#19230C211yesmaximal, characteristic, complemented
25#19221C211yesmaximal, characteristic, complemented
26#19189C211yesmaximal, characteristic, complemented
27#19184C211yesmaximal, characteristic, complemented
28#19163C211yesmaximal, characteristic, complemented
29#17830C211yesmaximal, characteristic, complemented
30#17769C211yesmaximal, characteristic, complemented
31#17762C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3508C2211yescharacteristic
34#3460C2211yescharacteristic
35#3401—21no—
36#3401—21no—
37#3275—21no—
38#3275—21no—
39#3271—21no—
40#3271—21no—
41#3267—21no—
42#3267—21no—
43#3262—21no—
44#3262—21no—
45#3257—21no—
46#3257—21no—
47#3254C2211yescharacteristic
48#3254C2211yescharacteristic, complemented
49#3253C2211yescharacteristic
50#3251C2211yescharacteristic
51#3251C2211yescharacteristic
52#3251C2211yescharacteristic, complemented
53#3248C2211yescharacteristic
54#3248C2211yescharacteristic, complemented
55#3247C2211yescharacteristic
56#3245C2211yescharacteristic
57#3245C2211yescharacteristic
58#3245C2211yescharacteristic, complemented
59#3241—21no—
60#3235C2211yescharacteristic
61#3233C2211yescharacteristic
62#3220—21no—
63#3217C2211yescharacteristic
64#3210C2211yescharacteristic, complemented
65#3210C2211yescharacteristic, complemented
66#3208C2211yescharacteristic, complemented
67#3207C2211yescharacteristic
68#3207C2211yescharacteristic, complemented
69#3206C2211yescharacteristic
70#3205C2211yescharacteristic
71#3199—21no—
72#3198—21no—
73#3185C2211yescharacteristic, complemented
74#3184C2211yescharacteristic
75#3179—21no—
76#3176—21no—
77#3167C2211yescharacteristic, complemented
78#3152C2211yescharacteristic
79#3151C2211yescharacteristic, complemented
80#3147C2211yescharacteristic, complemented
81#3122—21no—
82#3118—21no—
83#3115C2211yescharacteristic
84#3109C2211yescharacteristic
85#3106C2211yescharacteristic
86#3100C2211yescharacteristic
87#3083—21no—
88#3079C2211yescharacteristic, complemented
89C2×#474C2211yescharacteristic, complemented
90#3062—21no—
91#3061—21no—
92#3045—21no—
93#3036C2211yescharacteristic, complemented
94#3035C2211yescharacteristic, complemented
95#2994C2211yescharacteristic
96#2993C2211yescharacteristic, complemented
97#2992—21no—
98#2990C2211yescharacteristic, complemented
99#2989C2211yescharacteristic
100#2981C2211yescharacteristic, complemented
101#2980—21no—
102#2979C2211yescharacteristic
103#2978—21no—
104#2976—21no—
105#2974C2211yescharacteristic, complemented
106#2971C2211yescharacteristic, complemented
107#2969C2211yescharacteristic
108#2967—21no—
109#2966C2211yescharacteristic, complemented
110#2965C2211yescharacteristic
111#2935—21no—
112#2935C2211yescharacteristic
113D4×M16C2211yescharacteristic, complemented
114#2933—21no—
115#2931C2211yescharacteristic, complemented
116#2930—21no—
117#2925C2211yescharacteristic
118#2906C2211yescharacteristic
119#1704C2211yescharacteristic, complemented
120#1704C2211yescharacteristic, complemented
121#1703C2211yescharacteristic, complemented
122#1703C2211yescharacteristic, complemented
123#1702C2211yescharacteristic, complemented
124#1701C2211yescharacteristic
125#1701C2211yescharacteristic
126#1701C2211yescharacteristic, complemented
127#1700C2211yescharacteristic, complemented
128#1699C2211yescharacteristic, complemented
129#1697C2211yescharacteristic, complemented
130#1697C2211yescharacteristic, complemented
131#1691C2211yescharacteristic, complemented
132#1691C2211yescharacteristic, complemented
133#1689C2211yescharacteristic, complemented
134#1689C2211yescharacteristic, complemented
135#1689C2211yescharacteristic, complemented
136#1689C2211yescharacteristic, complemented
137#1688C2211yescharacteristic, complemented
138#1687C2211yescharacteristic
139#1687C2211yescharacteristic
140#1687C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1686C2211yescharacteristic, complemented
144#1685C2211yescharacteristic
145#1685C2211yescharacteristic
146#1685C2211yescharacteristic
147#1685C2211yescharacteristic
148#1685C2211yescharacteristic, complemented
149#1685C2211yescharacteristic, complemented
150#1685C2211yescharacteristic, complemented
151#1683C2211yescharacteristic, complemented
152#1683C2211yescharacteristic, complemented
153#1683C2211yescharacteristic, complemented
154#1683C2211yescharacteristic, complemented
155#1682C2211yescharacteristic, complemented
156#1681C2211yescharacteristic
157#1681C2211yescharacteristic
158#1681C2211yescharacteristic, complemented
159#1679C2211yescharacteristic, complemented
160#1679C2211yescharacteristic, complemented
161#1678C2211yescharacteristic, complemented
162#1677C2211yescharacteristic, complemented
163#1672C2211yescharacteristic, complemented
164#1671C2211yescharacteristic, complemented
165#1670C2211yescharacteristic, complemented
166#1670C2211yescharacteristic, complemented
167#1669C2211yescharacteristic, complemented
168#1669C2211yescharacteristic, complemented
169#1668C2211yescharacteristic, complemented
170#1667C2211yescharacteristic
171#1667C2211yescharacteristic
172#1667C2211yescharacteristic, complemented
173#1666C2211yescharacteristic, complemented
174#1666C2211yescharacteristic, complemented
175#1665C2211yescharacteristic
176#1665C2211yescharacteristic
177#1665C2211yescharacteristic
178#1665C2211yescharacteristic
179#1665C2211yescharacteristic, complemented
180#1665C2211yescharacteristic, complemented
181#1665C2211yescharacteristic, complemented
182#1665C2211yescharacteristic, complemented
183#1574C2211yescharacteristic, complemented
184#1574C2211yescharacteristic, complemented
185#1573C2211yescharacteristic, complemented
186#1573C2211yescharacteristic, complemented
187#1571C2211yescharacteristic, complemented
188#1570C2211yescharacteristic, complemented
189#1569C2211yescharacteristic, complemented
190#1569C2211yescharacteristic, complemented
191#1567C2211yescharacteristic, complemented
192#1565C2211yescharacteristic, complemented
193#1565C2211yescharacteristic, complemented
194C2×#334C2211yescharacteristic, complemented
195#1561C2211yescharacteristic, complemented
196#1560C2211yescharacteristic
197#1560C2211yescharacteristic, complemented
198#1557C2211yescharacteristic
199#1557C2211yescharacteristic, complemented
200#1557C2211yescharacteristic, complemented
201#1557C2211yescharacteristic, complemented
202#1556C2211yescharacteristic, complemented
203#1553C2211yescharacteristic, complemented
204#1553C2211yescharacteristic, complemented
205#1552C2211yescharacteristic, complemented
206#1552C2211yescharacteristic, complemented
207#1551C2211yescharacteristic
208#1551C2211yescharacteristic, complemented
209#1550C2211yescharacteristic, complemented
210#1547C2211yescharacteristic
211#1547C2211yescharacteristic, complemented
212#1547C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1545C2211yescharacteristic, complemented
215#1544C2211yescharacteristic, complemented
216#1542C2211yescharacteristic, complemented
217#1540C2211yescharacteristic, complemented
218C2×#331C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C2×#135—21no—
226C2×#135—21no—
227C2×#131—21no—
228C2×#131—21no—
229C2×#131—21no—
230C22×M16—21no—
231#559—21no—
232#559—21no—
233#556—21no—
234#555—21no—
235#554—21no—
236#553—21no—
237#553—21no—
238#550—21no—
239#550—21no—
240#548—21no—
241#548—21no—
242#547—21no—
243#546—21no—
244#546—21no—
245#546—21no—
246#546—21no—
247#544D411yescharacteristic
248#542—21no—
249#542—21no—
250#542—21no—
251#542D411yescharacteristic
252#542D411yescharacteristic
253#540—21no—
254#540—21no—
255#540—21no—
256#540D411yescharacteristic
257#540D411yescharacteristic
258#538—21no—
259#538—21no—
260#537—21no—
261#537D411yescharacteristic
262#535—21no—
263#535D411yescharacteristic
264#535D411yescharacteristic
265#533C2311yescharacteristic
266#533C2311yescharacteristic
267#533C2311yescharacteristic
268#532—21no—
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276#532C2311yescharacteristic
277#532C2311yescharacteristic
278C2×C4⋊Q8C2311yescharacteristic
279C2×#127C2311yescharacteristic
280#529—21no—
281#529C2311yescharacteristic
282#529C2311yescharacteristic
283#525—21no—
284#525—21no—
285#520—21no—
286#518—21no—
287C4×#41C2311yescharacteristic
288C4×#41C2311yescharacteristic
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#499—21no—
292#498C2311yescharacteristic
293#497—21no—
294#497—21no—
295#496—21no—
296#496—21no—
297#496—21no—
298#495—21no—
299#495—21no—
300#494C2311yescharacteristic
301#494C2311yescharacteristic
302#493—21no—
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#492C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#490—21no—
311#490—21no—
312#488—21no—
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#486—21no—
317#486C2311yescharacteristic
318#486C2311yescharacteristic
319#486C2311yescharacteristic
320#485—21no—
321#482—21no—
322#482—21no—
323#482—21no—
324#482—21no—
325#482—21no—
326#481—21no—
327#480—21no—
328#479—21no—
329#479—21no—
330#478—21no—
331#478—21no—
332#478—21no—
333#478—21no—
334#477—21no—
335#477—21no—
336#477—21no—
337#477C2311yescharacteristic
338#476—21no—
339#476—21no—
340#476C2311yescharacteristic
341#476C2311yescharacteristic
342#476C2311yescharacteristic
343#475C2311yescharacteristic
344#475C2311yescharacteristic
345#475C2311yescharacteristic
346#474—21no—
347#474—21no—
348#474—21no—
349#474—21no—
350#474—21no—
351#474C2311yescharacteristic
352#474C2311yescharacteristic
353#474C2311yescharacteristic
354#474C2311yescharacteristic
355#474C2311yescharacteristic
356#474C2311yescharacteristic
357#474C2311yescharacteristic
358#474C2311yescharacteristic
359#474C2311yescharacteristic
360#470—21no—
361#470—21no—
362#469—21no—
363#469—21no—
364#469—21no—
365#469—21no—
366#469—21no—
367#469—21no—
368#469—21no—
369#468—21no—
370#468—21no—
371#468—21no—
372#468—21no—
373#468—21no—
374#468—21no—
375#468—21no—
376#467—21no—
377#467—21no—
378#466—21no—
379#466—21no—
380#466—21no—
381#466—21no—
382#466—21no—
383#466—21no—
384#466—21no—
385#465—21no—
386#465—21no—
387#465—21no—
388#465—21no—
389#465—21no—
390#464—21no—
391#464—21no—
392#464—21no—
393#464—21no—
394#464—21no—
395#464—21no—
396#464—21no—
397#463—21no—
398#463—21no—
399#463—21no—
400#463—21no—
401#463—21no—
402#463—21no—
403#463—21no—
404#463—21no—
405#463—21no—
406#463—21no—
407#463—21no—
408#462C2311yescharacteristic
409#461—21no—
410#461—21no—
411#461C2311yescharacteristic
412#461C2311yescharacteristic
413#461C2311yescharacteristic
414#460—21no—
415#460—21no—
416#460—21no—
417#460—21no—
418#460C2311yescharacteristic
419#460C2311yescharacteristic
420#460C2311yescharacteristic
421#459—21no—
422#459—21no—
423#459—21no—
424#459—21no—
425#459C2311yescharacteristic
426#459C2311yescharacteristic
427#459C2311yescharacteristic
428#459C2311yescharacteristic
429#459C2311yescharacteristic
430#459C2311yescharacteristic
431#459C2311yescharacteristic
432#459C2311yescharacteristic
433#459C2311yescharacteristic
434#452—21no—
435#452—21no—
436#452—21no—
437#452—21no—
438#450—21no—
439#450—21no—
440#450—21no—
441#449—21no—
442#449—21no—
443#449—21no—
444#449—21no—
445#449—21no—
446#449—21no—
447#448—21no—
448#448—21no—
449#447—21no—
450#447—21no—
451#447—21no—
452#447—21no—
453#447—21no—
454#446—21no—
455#446D411yescharacteristic
456#446D411yescharacteristic
457#446C2311yescharacteristic
458#446C2311yescharacteristic
459C8×Q8C2311yescharacteristic
460C8×Q8C2311yescharacteristic
461#442—21no—
462#442—21no—
463#442—21no—
464#442—21no—
465#442—21no—
466#441—21no—
467#441—21no—
468#440—21no—
469C4×SD16—21no—
470C4×SD16—21no—
471C4×SD16—21no—
472C4×D8—21no—
473C4×D8—21no—
474C4×D8—21no—
475#436—21no—
476#436—21no—
477#436—21no—
478#436—21no—
479#436—21no—
480#436—21no—
481#436—21no—
482#436D411yescharacteristic
483#436D411yescharacteristic
484#436C2311yescharacteristic
485#436C2311yescharacteristic
486#436C2311yescharacteristic
487#436C2311yescharacteristic
488#436C2311yescharacteristic
489#436C2311yescharacteristic
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#435—21no—
499#435—21no—
500#435—21no—
501#435—21no—
502#435—21no—
503#435—21no—
504#435—21no—
505#435—21no—
506#435D411yescharacteristic
507#435D411yescharacteristic
508#435D411yescharacteristic
509#435D411yescharacteristic
510C8×D4—21no—
511C8×D4—21no—
512C8×D4—21no—
513C8×D4—21no—
514C8×D4C2311yescharacteristic
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517C8×D4C2311yescharacteristic
518C8×D4C2311yescharacteristic
519C8×D4C2311yescharacteristic
520#433—21no—
521#433—21no—
522#433—21no—
523#433—21no—
524#433—21no—
525#433—21no—
526#432—21no—
527#432—21no—
528#432C2311yescharacteristic
529#432C2311yescharacteristic
530#432C2311yescharacteristic
531#432C2311yescharacteristic
532#431C2311yescharacteristic
533#431C2311yescharacteristic
534#431C2311yescharacteristic
535#431C2311yescharacteristic
536#431C2311yescharacteristic
537#431C2311yescharacteristic
538#428—21no—
539C2×#107—21no—
540#424—21no—
541#424—21no—
542#424—21no—
543#424—21no—
544#424—21no—
545#423C2311yescharacteristic
546#423C2311yescharacteristic
547#423C2311yescharacteristic
548#423C2311yescharacteristic
549#423C2311yescharacteristic
550#423C2311yescharacteristic
551C2×C4⋊C8—21no—
552C2×C4⋊C8C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554C2×C4⋊C8C2311yescharacteristic
555C2×C4⋊C8C2311yescharacteristic
556C2×C4⋊C8C2311yescharacteristic
557#417—21no—
558#417—21no—
559#416—21no—
560C2×#102—21no—
561#408—21no—
562#408—21no—
563#408—21no—
564#408—21no—
565#408—21no—
566#408—21no—
567#408—21no—
568#407—21no—
569#407—21no—
570C2×C22⋊C8—21no—
571#405—21no—
572#405—21no—
573#405—21no—
574C4×M16—21no—
575C4×M16C2311yescharacteristic
576C4×M16C2311yescharacteristic
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#334C2311yescharacteristic
592#334C2311yescharacteristic
593#334C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#333C2311yescharacteristic
597#333C2311yescharacteristic
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#331C2311yescharacteristic
615#331C2311yescharacteristic
616#331C2311yescharacteristic
617#331C2311yescharacteristic
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×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41C2×D411yescharacteristic
636C2×#41C2×D411yescharacteristic
637C22×Q8—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4C2×D411yescharacteristic
642C23×C4—21no—
643#137—82no—
644#137—82no—
645AGL(1,ℤ/8)—82no—
646AGL(1,ℤ/8)—82no—
647AGL(1,ℤ/8)—82no—
648#135—82no—
649#135—82no—
650#135—82no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—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—21no—
672C2×D8—21no—
673C2×D8—21no—
674C2×D8—21no—
675C2×D8—21no—
676C2×D8—21no—
677C2×D8—21no—
678C2×D8—21no—
679C2×D8—21no—
680C2×D8—21no—
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
685#131—82no—
686#131—82no—
687#131—82no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C2×M16—21no—
697C2×M16—21no—
698C2×M16—21no—
699C2×M16—21no—
700C2×M16—82no—
701C2×M16C2×D411yescharacteristic
702C2×M16C2×D411yescharacteristic
703C2×M16C2×D411yescharacteristic
704C2×M16C2×D411yescharacteristic
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C22×C8—21no—
716C22×C8C2×D411yescharacteristic
717C22×C8C2×D411yescharacteristic
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—21no—
722C4⋊Q8C2×D411yescharacteristic
723C4⋊Q8C2×D411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729#127—21no—
730#127—21no—
731#127—21no—
732#127—21no—
733#127—41no—
734#127C2×D411yescharacteristic
735#127C2×D411yescharacteristic
736#127C2411yescharacteristic
737#127C2411yescharacteristic
738#127C2411yescharacteristic
739#126—21no—
740#126—21no—
741#126—21no—
742#126—21no—
743#126—41no—
744#126—41no—
745#125—21no—
746#125—21no—
747#125—21no—
748#125—21no—
749#125C2×D411yescharacteristic
750#125C2×D411yescharacteristic
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—21no—
757#124—21no—
758#124—21no—
759#124—21no—
760#124—21no—
761#124—21no—
762#124—21no—
763#124—41no—
764#124—41no—
765#124—41no—
766#124C2×D411yescharacteristic
767#124C2×D411yescharacteristic
768#123—21no—
769#123—21no—
770#123—21no—
771#123—21no—
772#123—21no—
773#123—21no—
774#123—21no—
775#123—21no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
780#123—41no—
781#123—41no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8C2×D411yescharacteristic
797C22⋊Q8C2×D411yescharacteristic
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—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121—41no—
830#121C2×D411yescharacteristic
831#121C2×D411yescharacteristic
832#121C2×D411yescharacteristic
833#121C2×D411yescharacteristic
834#121C2×D411yescharacteristic
835#121C2×D411yescharacteristic
836#120—21no—
837#120—21no—
838#120—21no—
839#120—21no—
840#120—41no—
841#120—41no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8C2×D411yescharacteristic
849C4×Q8C2×D411yescharacteristic
850C4×Q8#4111yescharacteristic
851C4×Q8C2411yescharacteristic
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—21no—
869C4×D4—21no—
870C4×D4—21no—
871C4×D4—21no—
872C4×D4—21no—
873C4×D4—21no—
874C4×D4—41no—
875C4×D4—41no—
876C4×D4—41no—
877C4×D4—41no—
878C4×D4C2×D411yescharacteristic
879C4×D4C2×D411yescharacteristic
880C4×D4C2×D411yescharacteristic
881C4×D4C2×D411yescharacteristic
882C4×D4C2×D411yescharacteristic
883C4×D4C2×D411yescharacteristic
884C4×D4#4111yescharacteristic
885C4×D4#4111yescharacteristic
886C4×D4#4111yescharacteristic
887C4×D4C2411yescharacteristic
888C4×D4C2411yescharacteristic
889C4×D4C2411yescharacteristic
890#117—21no—
891#117—21no—
892#117—21no—
893#117—21no—
894#117—21no—
895#117—21no—
896#117—41no—
897#117C2×D411yescharacteristic
898#117C2×D411yescharacteristic
899#117C2×D411yescharacteristic
900#117C2×D411yescharacteristic
901C2×C4⋊C4—21no—
902C2×C4⋊C4—21no—
903C2×C4⋊C4—41no—
904C2×C4⋊C4C2×D411yescharacteristic
905C2×C22⋊C4—21no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C42—21no—
909C2×C42C2411yescharacteristic
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2×D411yescharacteristic
948C4⋊C8C2×D411yescharacteristic
949C4⋊C8C2×D411yescharacteristic
950C4⋊C8C2×D411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956C4⋊C8C2411yescharacteristic
957C4⋊C8C2411yescharacteristic
958C4⋊C8C2411yescharacteristic
959C4⋊C8C2411yescharacteristic
960C4⋊C8C2411yescharacteristic
961C4⋊C8C2411yescharacteristic
962C4⋊C8C2411yescharacteristic
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#103—21no—
975#103—21no—
976#103—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—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—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⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8C2×D411yescharacteristic
1027C22⋊C8C2×D411yescharacteristic
1028C22⋊C8C2×D411yescharacteristic
1029C22⋊C8C2×D411yescharacteristic
1030C22⋊C8C2×D411yescharacteristic
1031C22⋊C8C2×D411yescharacteristic
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97C2×D411yescharacteristic
1039#97C2×D411yescharacteristic
1040#97C2×D411yescharacteristic
1041#97C2×D411yescharacteristic
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8C2×D411yescharacteristic
1048C4×C8C2×D411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C24—21no—
1054C24—41no—
1055#41—41no—
1056#41—41no—
1057#41—41no—
1058#41—41no—
1059#41—42no—
1060#41—42no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—161no—
1074#41—161no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—41no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8#12111yescharacteristic
1086C2×Q8C22×D411yescharacteristic
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—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—161no—
1125C2×D4#12111yescharacteristic
1126C2×D4#12111yescharacteristic
1127C2×D4#12111yescharacteristic
1128C2×D4C22×D411yescharacteristic
1129C2×D4C22×D411yescharacteristic
1130C2×D4C22×D411yescharacteristic
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—81no—
1148C22×C4—81no—
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4C22×D411yescharacteristic
1154C22×C4C22×D411yescharacteristic
1155C22×C4C2×#4111yescharacteristic
1156C22×C4C2×#4111yescharacteristic
1157C22×C4C2×#4111yescharacteristic
1158Q16—42no—
1159Q16—42no—
1160Q16—81no—
1161Q16—81no—
1162Q16—81no—
1163SD16—42no—
1164SD16—42no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179D8—42no—
1180D8—42no—
1181D8—81no—
1182D8—81no—
1183D8—81no—
1184D8—81no—
1185D8—81no—
1186D8—81no—
1187D8—81no—
1188D8—81no—
1189D8—81no—
1190D8—81no—
1191D8—81no—
1192M16—22no—
1193M16—22no—
1194M16—41no—
1195M16—41no—
1196M16—42no—
1197M16—42no—
1198M16—42no—
1199M16—81no—
1200M16—81no—
1201M16—81no—
1202M16—81no—
1203M16—81no—
1204M16—81no—
1205M16—81no—
1206M16—81no—
1207M16—81no—
1208C2×C8—22no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—41no—
1222C2×C8—42no—
1223C2×C8—42no—
1224C2×C8—81no—
1225C2×C8—81no—
1226C2×C8—81no—
1227C2×C8—81no—
1228C2×C8—81no—
1229C2×C8—81no—
1230C2×C8—81no—
1231C2×C8—81no—
1232C2×C8—81no—
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C2×C8C22×D411yescharacteristic
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
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—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4#12111yescharacteristic
1271C4⋊C4#12111yescharacteristic
1272C4⋊C4#12111yescharacteristic
1273C4⋊C4#12111yescharacteristic
1274C4⋊C4#12111yescharacteristic
1275C4⋊C4#12111yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C4⋊C4C22×D411yescharacteristic
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—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
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—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4#12111yescharacteristic
1317C22⋊C4#12111yescharacteristic
1318C22⋊C4#12111yescharacteristic
1319C22⋊C4#12111yescharacteristic
1320C22⋊C4#12111yescharacteristic
1321C22⋊C4#12111yescharacteristic
1322C42—21no—
1323C42—21no—
1324C42—21no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42C22×D411yescharacteristic
1329C42C22×D411yescharacteristic
1330C42C22×D411yescharacteristic
1331C42C22×D411yescharacteristic
1332C42C22×D411yescharacteristic
1333C42C22×D411yescharacteristic
1334C42C2×#4111yescharacteristic
1335C42C2×#4111yescharacteristic
1336C42C2×#4111yescharacteristic
1337C42C2511yescharacteristic
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—81no—
1345C23—81no—
1346C23—81no—
1347C23—82no—
1348C23—161no—
1349C23—161no—
1350C23C2×#12111yescharacteristic
1351C23C2×#12111yescharacteristic
1352C23C2×#12111yescharacteristic
1353Q8—21no—
1354Q8—21no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—81no—
1365Q8—81no—
1366Q8—81no—
1367Q8—161no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—81no—
1390D4—81no—
1391D4—81no—
1392D4—81no—
1393D4—81no—
1394D4—81no—
1395D4—81no—
1396D4—81no—
1397D4—82no—
1398D4—81no—
1399D4—81no—
1400D4—81no—
1401D4—81no—
1402D4—81no—
1403D4—81no—
1404D4—81no—
1405D4—82no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4—161no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—81no—
1446C2×C4—81no—
1447C2×C4—81no—
1448C2×C4—81no—
1449C2×C4—82no—
1450C2×C4—81no—
1451C2×C4—161no—
1452C2×C4—161no—
1453C2×C4—161no—
1454C2×C4—161no—
1455C2×C4—161no—
1456C2×C4—161no—
1457C2×C4—161no—
1458C2×C4C2×#12111yescharacteristic
1459C2×C4C2×#12111yescharacteristic
1460C2×C4C2×#12111yescharacteristic
1461C2×C4C2×#12111yescharacteristic
1462C2×C4C2×#12111yescharacteristic
1463C2×C4C2×#12111yescharacteristic
1464C2×C4C2×#12111yescharacteristic
1465C2×C4C2×#12111yescharacteristic
1466C2×C4C2×#12111yescharacteristic
1467C2×C4C23×D411yescharacteristic
1468C2×C4C23×D411yescharacteristic
1469C2×C4C22×#4111yescharacteristic
1470C8—21no—
1471C8—21no—
1472C8—21no—
1473C8—21no—
1474C8—21no—
1475C8—21no—
1476C8—21no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8#57612yes—
1490C22—21no—
1491C22—21no—
1492C22—21no—
1493C22—21no—
1494C22—21no—
1495C22—21no—
1496C22—21no—
1497C22—21no—
1498C22—21no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—81no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—162no—
1518C22—322no—
1519C22C22×#12111yescharacteristic
1520C4—21no—
1521C4—21no—
1522C4—21no—
1523C4—21no—
1524C4—21no—
1525C4—21no—
1526C4—21no—
1527C4—21no—
1528C4—21no—
1529C4—21no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—81no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4—81no—
1540C4C2×#57611yescharacteristic
1541C4#358511yescharacteristic
1542C4#358511yescharacteristic
1543C4#358611yescharacteristic
1544C2—41no—
1545C2—41no—
1546C2—41no—
1547C2—81no—
1548C2—81no—
1549C2—81no—
1550C2—161no—
1551C2—161no—
1552C2—161no—
1553C2#6042811yescharacteristic
1554C2#6045611yescharacteristic
1555C2#6047011yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
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. #62427C2semidirect
2. #60990C2semidirect
3. #60928C2semidirect
4. #60326C2semidirect
5. #19581C2semidirect
6. #19577C2semidirect
7. #19556C2semidirect
8. #19552C2semidirect
9. #19543C2semidirect
10. #19540C2semidirect
11. #19510C2semidirect
12. #19508C2semidirect
13. #19482C2semidirect
14. #19480C2semidirect
15. #19461C2semidirect
16. #19457C2semidirect
17. #19376C2semidirect
18. #19371C2semidirect
19. #19356C2semidirect
20. #19339C2semidirect
21. #19321C2semidirect
22. #19306C2semidirect
23. #19251C2semidirect
24. #19230C2semidirect
25. #19221C2semidirect
26. #19189C2semidirect
27. #19184C2semidirect
28. #19163C2semidirect
29. #17830C2semidirect
30. #17769C2semidirect
31. #17762C2semidirect
48. #3254C22semidirect
52. #3251C22semidirect
54. #3248C22semidirect
58. #3245C22semidirect
64. #3210C22semidirect
65. #3210C22semidirect
66. #3208C22semidirect
68. #3207C22semidirect
73. #3185C22semidirect
77. #3167C22semidirect
79. #3151C22semidirect
80. #3147C22semidirect
88. #3079C22semidirect
89. C2×#474C22semidirect
93. #3036C22semidirect
94. #3035C22semidirect
96. #2993C22semidirect
98. #2990C22semidirect
100. #2981C22semidirect
105. #2974C22semidirect
106. #2971C22semidirect
109. #2966C22semidirect
113. D4×M16C22semidirect
115. #2931C22semidirect
119. #1704C22semidirect
120. #1704C22semidirect
121. #1703C22semidirect
122. #1703C22semidirect
123. #1702C22semidirect
126. #1701C22semidirect
127. #1700C22semidirect
128. #1699C22semidirect
129. #1697C22semidirect
130. #1697C22semidirect
131. #1691C22semidirect
132. #1691C22semidirect
133. #1689C22semidirect
134. #1689C22semidirect
135. #1689C22semidirect
136. #1689C22semidirect
137. #1688C22semidirect
140. #1687C22semidirect
141. #1686C22semidirect
142. #1686C22semidirect
143. #1686C22semidirect
148. #1685C22semidirect
149. #1685C22semidirect
150. #1685C22semidirect
151. #1683C22semidirect
152. #1683C22semidirect
153. #1683C22semidirect
154. #1683C22semidirect
155. #1682C22semidirect
158. #1681C22semidirect
159. #1679C22semidirect
160. #1679C22semidirect
161. #1678C22semidirect
162. #1677C22semidirect
163. #1672C22semidirect
164. #1671C22semidirect
165. #1670C22semidirect
166. #1670C22semidirect
167. #1669C22semidirect
168. #1669C22semidirect
169. #1668C22semidirect
172. #1667C22semidirect
173. #1666C22semidirect
174. #1666C22semidirect
179. #1665C22semidirect
180. #1665C22semidirect
181. #1665C22semidirect
182. #1665C22semidirect
183. #1574C22semidirect
184. #1574C22semidirect
185. #1573C22semidirect
186. #1573C22semidirect
187. #1571C22semidirect
188. #1570C22semidirect
189. #1569C22semidirect
190. #1569C22semidirect
191. #1567C22semidirect
192. #1565C22semidirect
193. #1565C22semidirect
194. C2×#334C22semidirect
195. #1561C22semidirect
197. #1560C22semidirect
199. #1557C22semidirect
200. #1557C22semidirect
201. #1557C22semidirect
202. #1556C22semidirect
203. #1553C22semidirect
204. #1553C22semidirect
205. #1552C22semidirect
206. #1552C22semidirect
208. #1551C22semidirect
209. #1550C22semidirect
211. #1547C22semidirect
212. #1547C22semidirect
213. #1546C22semidirect
214. #1545C22semidirect
215. #1544C22semidirect
216. #1542C22semidirect
217. #1540C22semidirect
218. C2×#331C22semidirect

Maximal subgroups

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

subgroupindex
#624272
#609902
#609282
#603262
#195812
#195772
#195562
#195522
#195432
#195402
#195102
#195082
#194822
#194802
#194612
#194572
#193762
#193712
#193562
#193392
#193212
#193062
#192512
#192302
#192212
#191892
#191842
#191632
#178302
#177692
#177622