Finite Group Databasebeta

← #6356307

Subgroups — #6356307

Order 512.

1584 conjugacy classes of subgroups.

The subgroup lattice has 1550 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#60988C211yesmaximal, characteristic, complemented
4#60312C211yesmaximal, characteristic, complemented
5#19581C211yesmaximal, characteristic, complemented
6#19580C211yesmaximal, characteristic, complemented
7#19577C211yesmaximal, characteristic, complemented
8#19576C211yesmaximal, characteristic, complemented
9#19557C211yesmaximal, characteristic, complemented
10#19556C211yesmaximal, characteristic, complemented
11#19553C211yesmaximal, characteristic, complemented
12#19552C211yesmaximal, characteristic, complemented
13#19425C211yesmaximal, characteristic, complemented
14#19424C211yesmaximal, characteristic, complemented
15#19413C211yesmaximal, characteristic, complemented
16#19412C211yesmaximal, characteristic, complemented
17#19377C211yesmaximal, characteristic, complemented
18#19376C211yesmaximal, characteristic, complemented
19#19371C211yesmaximal, characteristic, complemented
20#19370C211yesmaximal, characteristic, complemented
21#19294C211yesmaximal, characteristic, complemented
22#19257C211yesmaximal, characteristic, complemented
23#19249C211yesmaximal, characteristic, complemented
24#19248C211yesmaximal, characteristic, complemented
25#19231C211yesmaximal, characteristic, complemented
26#19230C211yesmaximal, characteristic, complemented
27#19159C211yesmaximal, characteristic, complemented
28#19101C211yesmaximal, characteristic, complemented
29#17833C211yesmaximal, characteristic, complemented
30#17727C211yesmaximal, characteristic, complemented
31#17724C211yesmaximal, 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#3254C2211yescharacteristic
44#3253C2211yescharacteristic
45#3251C2211yescharacteristic
46#3251C2211yescharacteristic
47#3248C2211yescharacteristic
48#3247C2211yescharacteristic
49#3245C2211yescharacteristic
50#3245C2211yescharacteristic
51#3243—21no—
52#3241—21no—
53#3239C2211yescharacteristic, complemented
54#3235C2211yescharacteristic
55#3233C2211yescharacteristic
56#3226C2211yescharacteristic, complemented
57#3224—21no—
58#3220—21no—
59#3217C2211yescharacteristic
60#3214C2211yescharacteristic, complemented
61#3212C2211yescharacteristic, complemented
62#3210C2211yescharacteristic
63#3210C2211yescharacteristic, complemented
64#3208C2211yescharacteristic, complemented
65#3207C2211yescharacteristic
66#3207C2211yescharacteristic, complemented
67#3206C2211yescharacteristic, complemented
68#3205C2211yescharacteristic
69#3203—21no—
70#3199—21no—
71#3198—21no—
72#3198—21no—
73#3185C2211yescharacteristic, complemented
74#3184C2211yescharacteristic, complemented
75#3179—21no—
76#3179—21no—
77#3176—21no—
78#3175—21no—
79#3167C2211yescharacteristic
80#3152C2211yescharacteristic, complemented
81#3151C2211yescharacteristic, complemented
82#3147C2211yescharacteristic
83#3124—21no—
84#3122—21no—
85#3119—21no—
86#3118—21no—
87#3115C2211yescharacteristic
88#3115C2211yescharacteristic, complemented
89#3110C2211yescharacteristic, complemented
90#3109C2211yescharacteristic
91#3107C2211yescharacteristic, complemented
92#3106C2211yescharacteristic
93#3100C2211yescharacteristic
94#3100C2211yescharacteristic, complemented
95#2994—21no—
96#2994C2211yescharacteristic
97#2994C2211yescharacteristic, complemented
98#2988C2211yescharacteristic
99#2988C2211yescharacteristic, complemented
100#2979—21no—
101#2979C2211yescharacteristic
102#2979C2211yescharacteristic, complemented
103#2976—21no—
104#2976—21no—
105#2975C2211yescharacteristic, complemented
106#2969—21no—
107#2969C2211yescharacteristic
108#2969C2211yescharacteristic, complemented
109#2965C2211yescharacteristic
110#2965C2211yescharacteristic, complemented
111#2935—21no—
112#2935C2211yescharacteristic
113#2935C2211yescharacteristic, complemented
114#2929—21no—
115#2929—21no—
116C2×C8×D4C2211yescharacteristic, complemented
117#2925C2211yescharacteristic
118#2925C2211yescharacteristic
119#1704C2211yescharacteristic, complemented
120#1703C2211yescharacteristic, complemented
121#1703C2211yescharacteristic, complemented
122#1703C2211yescharacteristic, complemented
123#1702C2211yescharacteristic, complemented
124#1701C2211yescharacteristic
125#1701C2211yescharacteristic
126#1701C2211yescharacteristic, complemented
127#1699C2211yescharacteristic, complemented
128#1699C2211yescharacteristic, complemented
129#1697C2211yescharacteristic, complemented
130#1697C2211yescharacteristic, complemented
131#1692C2211yescharacteristic, complemented
132#1691C2211yescharacteristic, complemented
133#1690C2211yescharacteristic, 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#1684C2211yescharacteristic, complemented
152#1683C2211yescharacteristic, complemented
153#1683C2211yescharacteristic, complemented
154#1683C2211yescharacteristic, complemented
155#1682C2211yescharacteristic, complemented
156#1681C2211yescharacteristic
157#1681C2211yescharacteristic
158#1681C2211yescharacteristic, complemented
159#1680C2211yescharacteristic, complemented
160#1679C2211yescharacteristic, complemented
161#1678C2211yescharacteristic, complemented
162#1677C2211yescharacteristic, complemented
163#1671C2211yescharacteristic, complemented
164#1671C2211yescharacteristic, complemented
165#1670C2211yescharacteristic, complemented
166#1669C2211yescharacteristic, 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#1572C2211yescharacteristic, complemented
188#1572C2211yescharacteristic, complemented
189#1569C2211yescharacteristic, complemented
190#1569C2211yescharacteristic, complemented
191#1568C2211yescharacteristic, complemented
192#1565C2211yescharacteristic, complemented
193#1565C2211yescharacteristic, complemented
194#1564C2211yescharacteristic, complemented
195#1553C2211yescharacteristic
196#1553C2211yescharacteristic, complemented
197#1553C2211yescharacteristic, complemented
198#1553C2211yescharacteristic, complemented
199#1552C2211yescharacteristic, complemented
200#1552C2211yescharacteristic, complemented
201#1551C2211yescharacteristic
202#1551C2211yescharacteristic, complemented
203#1550C2211yescharacteristic, complemented
204#1549C2211yescharacteristic, complemented
205#1547C2211yescharacteristic, complemented
206#1545C2211yescharacteristic, complemented
207#1544C2211yescharacteristic, complemented
208#1544C2211yescharacteristic, complemented
209#1543C2211yescharacteristic
210#1543C2211yescharacteristic, complemented
211#1542C2211yescharacteristic, complemented
212#1540C2211yescharacteristic
213#1540C2211yescharacteristic, complemented
214#1540C2211yescharacteristic, complemented
215#1540C2211yescharacteristic, complemented
216#1540C2211yescharacteristic, complemented
217C2×#332C2211yescharacteristic, complemented
218C2×#331C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×#135—21no—
224C2×#135—21no—
225C2×#131—21no—
226C2×#131—21no—
227C23×C8—21no—
228#559—21no—
229#559—21no—
230#556—21no—
231#555—21no—
232#554—21no—
233#553—21no—
234#553—21no—
235#550—21no—
236#550—21no—
237#548—21no—
238#548—21no—
239#547—21no—
240#546—21no—
241#546—21no—
242#546—21no—
243#546—21no—
244#544D411yescharacteristic
245#542—21no—
246#542—21no—
247#542—21no—
248#542D411yescharacteristic
249#542D411yescharacteristic
250#540—21no—
251#540—21no—
252#540—21no—
253#540D411yescharacteristic
254#540D411yescharacteristic
255#538—21no—
256#538—21no—
257#537—21no—
258#537D411yescharacteristic
259#535—21no—
260#535D411yescharacteristic
261#535D411yescharacteristic
262#533C2311yescharacteristic
263#533C2311yescharacteristic
264#533C2311yescharacteristic
265#532—21no—
266#532C2311yescharacteristic
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275C2×C4⋊Q8C2311yescharacteristic
276C2×#127C2311yescharacteristic
277#529—21no—
278#529C2311yescharacteristic
279#529C2311yescharacteristic
280#525—21no—
281#525—21no—
282#520—21no—
283#518—21no—
284C4×#41C2311yescharacteristic
285C4×#41C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287#501—21no—
288#501—21no—
289#500—21no—
290#499—21no—
291#498C2311yescharacteristic
292#497—21no—
293#497—21no—
294#496—21no—
295#496—21no—
296#496—21no—
297#496—21no—
298#495—21no—
299#495—21no—
300#495—21no—
301#494C2311yescharacteristic
302#494C2311yescharacteristic
303#493—21no—
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#492C2311yescharacteristic
307#492C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#490—21no—
312#490—21no—
313#489—21no—
314#489—21no—
315#488—21no—
316#488—21no—
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#486—21no—
321#486—21no—
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#485—21no—
326#485—21no—
327#484—21no—
328#484—21no—
329#482—21no—
330#482—21no—
331#482—21no—
332#482—21no—
333#482—21no—
334#482—21no—
335#481—21no—
336#481—21no—
337#480—21no—
338#480—21no—
339#480—21no—
340#480—21no—
341#479—21no—
342#478—21no—
343#478—21no—
344#478—21no—
345#477—21no—
346#477C2311yescharacteristic
347#476—21no—
348#476C2311yescharacteristic
349#476C2311yescharacteristic
350#476C2311yescharacteristic
351#475C2311yescharacteristic
352#475C2311yescharacteristic
353#475C2311yescharacteristic
354#474—21no—
355#474—21no—
356#474C2311yescharacteristic
357#474C2311yescharacteristic
358#474C2311yescharacteristic
359#474C2311yescharacteristic
360#474C2311yescharacteristic
361#474C2311yescharacteristic
362#474C2311yescharacteristic
363#474C2311yescharacteristic
364#474C2311yescharacteristic
365#470—21no—
366#470—21no—
367#469—21no—
368#469—21no—
369#469—21no—
370#469—21no—
371#469—21no—
372#469—21no—
373#468—21no—
374#468—21no—
375#468—21no—
376#468—21no—
377#467—21no—
378#466—21no—
379#466—21no—
380#466—21no—
381#466—21no—
382#466—21no—
383#465—21no—
384#465—21no—
385#465—21no—
386#465—21no—
387#464—21no—
388#464—21no—
389#464—21no—
390#464—21no—
391#464—21no—
392#463—21no—
393#463—21no—
394#463—21no—
395#463—21no—
396#463—21no—
397#463—21no—
398#463—21no—
399#462C2311yescharacteristic
400#461—21no—
401#461—21no—
402#461C2311yescharacteristic
403#461C2311yescharacteristic
404#461C2311yescharacteristic
405#460—21no—
406#460—21no—
407#460—21no—
408#460C2311yescharacteristic
409#460C2311yescharacteristic
410#460C2311yescharacteristic
411#459—21no—
412#459—21no—
413#459—21no—
414#459C2311yescharacteristic
415#459C2311yescharacteristic
416#459C2311yescharacteristic
417#459C2311yescharacteristic
418#459C2311yescharacteristic
419#459C2311yescharacteristic
420#459C2311yescharacteristic
421#459C2311yescharacteristic
422#459C2311yescharacteristic
423#452—21no—
424#452—21no—
425#452—21no—
426#452—21no—
427#452—21no—
428#452—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#449—21no—
438#449—21no—
439#449—21no—
440#449—21no—
441#449—21no—
442#449—21no—
443#448—21no—
444#448—21no—
445#447—21no—
446#447—21no—
447#447—21no—
448#447—21no—
449#447—21no—
450#447—21no—
451#446D411yescharacteristic
452#446D411yescharacteristic
453#446C2311yescharacteristic
454#446C2311yescharacteristic
455C8×Q8—21no—
456C8×Q8C2311yescharacteristic
457C8×Q8C2311yescharacteristic
458#442—21no—
459#442—21no—
460#442—21no—
461#442—21no—
462#442—21no—
463#442—21no—
464#441—21no—
465#441—21no—
466#440—21no—
467#440—21no—
468#440—21no—
469#440—21no—
470C4×Q16—21no—
471C4×SD16—21no—
472C4×SD16—21no—
473C4×SD16—21no—
474C4×SD16—21no—
475C4×D8—21no—
476C4×D8—21no—
477C4×D8—21no—
478C4×D8—21no—
479C4×D8—21no—
480#436—21no—
481#436—21no—
482#436—21no—
483#436—21no—
484#436—21no—
485#436—21no—
486#436D411yescharacteristic
487#436D411yescharacteristic
488#436C2311yescharacteristic
489#436C2311yescharacteristic
490#436C2311yescharacteristic
491#436C2311yescharacteristic
492#436C2311yescharacteristic
493#436C2311yescharacteristic
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#435D411yescharacteristic
505#435D411yescharacteristic
506#435D411yescharacteristic
507#435D411yescharacteristic
508C8×D4—21no—
509C8×D4—21no—
510C8×D4—21no—
511C8×D4—21no—
512C8×D4—21no—
513C8×D4—21no—
514C8×D4—21no—
515C8×D4—21no—
516C8×D4—21no—
517C8×D4—21no—
518C8×D4—21no—
519C8×D4C2311yescharacteristic
520C8×D4C2311yescharacteristic
521C8×D4C2311yescharacteristic
522C8×D4C2311yescharacteristic
523C8×D4C2311yescharacteristic
524C8×D4C2311yescharacteristic
525#433—21no—
526#433—21no—
527#433—21no—
528#433—21no—
529#433—21no—
530#433—21no—
531#433—21no—
532#433—21no—
533#432C2311yescharacteristic
534#432C2311yescharacteristic
535#432C2311yescharacteristic
536#432C2311yescharacteristic
537#431—21no—
538#431—21no—
539#431C2311yescharacteristic
540#431C2311yescharacteristic
541#431C2311yescharacteristic
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#431C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#431C2311yescharacteristic
549#424—21no—
550#424—21no—
551#423C2311yescharacteristic
552#423C2311yescharacteristic
553C2×C4⋊C8—21no—
554C2×C4⋊C8C2311yescharacteristic
555C2×C4⋊C8C2311yescharacteristic
556C2×C4⋊C8C2311yescharacteristic
557C2×C4⋊C8C2311yescharacteristic
558C2×C4⋊C8C2311yescharacteristic
559#408—21no—
560#408—21no—
561#408—21no—
562#408—21no—
563#408—21no—
564#408—21no—
565#408—21no—
566#408—21no—
567#407—21no—
568#407—21no—
569C2×C22⋊C8—21no—
570#405—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—
647#135—82no—
648#135—82no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—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×D8—21no—
671C2×D8—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—
683#131—82no—
684#131—82no—
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16C2×D411yescharacteristic
694C2×M16C2×D411yescharacteristic
695C2×M16C2×D411yescharacteristic
696C2×M16C2×D411yescharacteristic
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—21no—
708C22×C8—82no—
709C22×C8C2×D411yescharacteristic
710C22×C8C2×D411yescharacteristic
711C4⋊Q8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8C2×D411yescharacteristic
716C4⋊Q8C2×D411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722#127—21no—
723#127—21no—
724#127—21no—
725#127—21no—
726#127—41no—
727#127C2×D411yescharacteristic
728#127C2×D411yescharacteristic
729#127C2411yescharacteristic
730#127C2411yescharacteristic
731#127C2411yescharacteristic
732#126—21no—
733#126—21no—
734#126—21no—
735#126—21no—
736#126—41no—
737#126—41no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125C2×D411yescharacteristic
743#125C2×D411yescharacteristic
744#124—21no—
745#124—21no—
746#124—21no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—21no—
755#124—21no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124C2×D411yescharacteristic
760#124C2×D411yescharacteristic
761#123—21no—
762#123—21no—
763#123—21no—
764#123—21no—
765#123—21no—
766#123—21no—
767#123—21no—
768#123—21no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
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—21no—
785C22⋊Q8—21no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8C2×D411yescharacteristic
790C22⋊Q8C2×D411yescharacteristic
791#121—21no—
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—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—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121C2×D411yescharacteristic
824#121C2×D411yescharacteristic
825#121C2×D411yescharacteristic
826#121C2×D411yescharacteristic
827#121C2×D411yescharacteristic
828#121C2×D411yescharacteristic
829#120—21no—
830#120—21no—
831#120—21no—
832#120—21no—
833#120—41no—
834#120—41no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8C2×D411yescharacteristic
842C4×Q8C2×D411yescharacteristic
843C4×Q8#4111yescharacteristic
844C4×Q8C2411yescharacteristic
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—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—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4C2×D411yescharacteristic
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2×D411yescharacteristic
875C4×D4C2×D411yescharacteristic
876C4×D4C2×D411yescharacteristic
877C4×D4#4111yescharacteristic
878C4×D4#4111yescharacteristic
879C4×D4#4111yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—41no—
890#117C2×D411yescharacteristic
891#117C2×D411yescharacteristic
892#117C2×D411yescharacteristic
893#117C2×D411yescharacteristic
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—41no—
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C22⋊C4—21no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C42—21no—
902C2×C42C2411yescharacteristic
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
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—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923C4⋊C8—21no—
924C4⋊C8—21no—
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8—21no—
928C4⋊C8—21no—
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8C2×D411yescharacteristic
935C4⋊C8C2×D411yescharacteristic
936C4⋊C8C2×D411yescharacteristic
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2×D411yescharacteristic
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
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#102—21no—
967#102—21no—
968#102—21no—
969#102—21no—
970#102—21no—
971#102—21no—
972#102—21no—
973#102—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—
996C22⋊C8—21no—
997C22⋊C8—21no—
998C22⋊C8—21no—
999C22⋊C8—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⋊C8C2×D411yescharacteristic
1020C22⋊C8C2×D411yescharacteristic
1021C22⋊C8C2×D411yescharacteristic
1022C22⋊C8C2×D411yescharacteristic
1023C22⋊C8C2×D411yescharacteristic
1024C22⋊C8C2×D411yescharacteristic
1025#97—21no—
1026#97—21no—
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97C2×D411yescharacteristic
1032#97C2×D411yescharacteristic
1033#97C2×D411yescharacteristic
1034#97C2×D411yescharacteristic
1035C4×C8—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
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—41no—
1052#41—41no—
1053#41—41no—
1054#41—41no—
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—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—161no—
1071#41—161no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—41no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8#12111yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×D4—21no—
1085C2×D4—21no—
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—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
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—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—161no—
1122C2×D4#12111yescharacteristic
1123C2×D4#12111yescharacteristic
1124C2×D4#12111yescharacteristic
1125C2×D4C22×D411yescharacteristic
1126C2×D4C22×D411yescharacteristic
1127C2×D4C22×D411yescharacteristic
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—81no—
1145C22×C4—81no—
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C22×D411yescharacteristic
1151C22×C4C22×D411yescharacteristic
1152C22×C4C2×#4111yescharacteristic
1153C22×C4C2×#4111yescharacteristic
1154C22×C4C2×#4111yescharacteristic
1155Q16—42no—
1156Q16—42no—
1157Q16—81no—
1158Q16—81no—
1159Q16—81no—
1160SD16—42no—
1161SD16—42no—
1162SD16—81no—
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—
1176D8—42no—
1177D8—42no—
1178D8—81no—
1179D8—81no—
1180D8—81no—
1181D8—81no—
1182D8—81no—
1183D8—81no—
1184D8—81no—
1185D8—81no—
1186D8—81no—
1187D8—81no—
1188D8—81no—
1189M16—22no—
1190M16—22no—
1191M16—41no—
1192M16—41no—
1193M16—42no—
1194M16—81no—
1195M16—81no—
1196M16—81no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200M16—81no—
1201C2×C8—22no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—41no—
1215C2×C8—42no—
1216C2×C8—42no—
1217C2×C8—81no—
1218C2×C8—81no—
1219C2×C8—81no—
1220C2×C8—81no—
1221C2×C8—81no—
1222C2×C8—81no—
1223C2×C8—81no—
1224C2×C8—81no—
1225C2×C8—81no—
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
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—21no—
1254C4⋊C4—21no—
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#12111yescharacteristic
1264C4⋊C4#12111yescharacteristic
1265C4⋊C4#12111yescharacteristic
1266C4⋊C4#12111yescharacteristic
1267C4⋊C4#12111yescharacteristic
1268C4⋊C4#12111yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C22⋊C4—21no—
1274C22⋊C4—21no—
1275C22⋊C4—21no—
1276C22⋊C4—21no—
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—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
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—41no—
1309C22⋊C4#12111yescharacteristic
1310C22⋊C4#12111yescharacteristic
1311C22⋊C4#12111yescharacteristic
1312C22⋊C4#12111yescharacteristic
1313C22⋊C4#12111yescharacteristic
1314C22⋊C4#12111yescharacteristic
1315C42—21no—
1316C42—21no—
1317C42—21no—
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—41no—
1336C23—41no—
1337C23—41no—
1338C23—81no—
1339C23—81no—
1340C23—82no—
1341C23—161no—
1342C23—161no—
1343C23C2×#12111yescharacteristic
1344C23C2×#12111yescharacteristic
1345C23C2×#12111yescharacteristic
1346Q8—21no—
1347Q8—21no—
1348Q8—41no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—81no—
1358Q8—81no—
1359Q8—81no—
1360Q8—161no—
1361D4—21no—
1362D4—21no—
1363D4—21no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—42no—
1371D4—42no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—81no—
1385D4—81no—
1386D4—81no—
1387D4—81no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—82no—
1392D4—81no—
1393D4—81no—
1394D4—81no—
1395D4—81no—
1396D4—81no—
1397D4—81no—
1398D4—82no—
1399D4—161no—
1400D4—161no—
1401D4—161no—
1402D4—161no—
1403D4—161no—
1404D4—161no—
1405D4—161no—
1406D4—161no—
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—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—42no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
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—81no—
1440C2×C4—81no—
1441C2×C4—81no—
1442C2×C4—82no—
1443C2×C4—81no—
1444C2×C4—161no—
1445C2×C4—161no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4C2×#12111yescharacteristic
1452C2×C4C2×#12111yescharacteristic
1453C2×C4C2×#12111yescharacteristic
1454C2×C4C2×#12111yescharacteristic
1455C2×C4C2×#12111yescharacteristic
1456C2×C4C2×#12111yescharacteristic
1457C2×C4C2×#12111yescharacteristic
1458C2×C4C2×#12111yescharacteristic
1459C2×C4C2×#12111yescharacteristic
1460C2×C4C23×D411yescharacteristic
1461C2×C4C23×D411yescharacteristic
1462C2×C4C22×#4111yescharacteristic
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8#57612yes—
1483C22—21no—
1484C22—21no—
1485C22—21no—
1486C22—21no—
1487C22—21no—
1488C22—21no—
1489C22—21no—
1490C22—21no—
1491C22—21no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—84no—
1502C22—81no—
1503C22—81no—
1504C22—81no—
1505C22—81no—
1506C22—81no—
1507C22—81no—
1508C22—81no—
1509C22—81no—
1510C22—81no—
1511C22—322no—
1512C22C22×#12111yescharacteristic
1513C4—21no—
1514C4—21no—
1515C4—21no—
1516C4—21no—
1517C4—21no—
1518C4—21no—
1519C4—21no—
1520C4—21no—
1521C4—21no—
1522C4—21no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—81no—
1529C4—81no—
1530C4—81no—
1531C4—81no—
1532C4—81no—
1533C4C2×#57611yescharacteristic
1534C4#358411yescharacteristic
1535C4#358411yescharacteristic
1536C4#358511yescharacteristic
1537C2—41no—
1538C2—41no—
1539C2—41no—
1540C2—81no—
1541C2—81no—
1542C2—81no—
1543C2—161no—
1544C2—161no—
1545C2—161no—
1546C2#6042811yescharacteristic
1547C2#6045311yescharacteristic
1548C2#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. #60988C2semidirect
4. #60312C2semidirect
5. #19581C2semidirect
6. #19580C2semidirect
7. #19577C2semidirect
8. #19576C2semidirect
9. #19557C2semidirect
10. #19556C2semidirect
11. #19553C2semidirect
12. #19552C2semidirect
13. #19425C2semidirect
14. #19424C2semidirect
15. #19413C2semidirect
16. #19412C2semidirect
17. #19377C2semidirect
18. #19376C2semidirect
19. #19371C2semidirect
20. #19370C2semidirect
21. #19294C2semidirect
22. #19257C2semidirect
23. #19249C2semidirect
24. #19248C2semidirect
25. #19231C2semidirect
26. #19230C2semidirect
27. #19159C2semidirect
28. #19101C2semidirect
29. #17833C2semidirect
30. #17727C2semidirect
31. #17724C2semidirect
53. #3239C22semidirect
56. #3226C22semidirect
60. #3214C22semidirect
61. #3212C22semidirect
63. #3210C22semidirect
64. #3208C22semidirect
66. #3207C22semidirect
67. #3206C22semidirect
73. #3185C22semidirect
74. #3184C22semidirect
80. #3152C22semidirect
81. #3151C22semidirect
88. #3115C22semidirect
89. #3110C22semidirect
91. #3107C22semidirect
94. #3100C22semidirect
97. #2994C22semidirect
99. #2988C22semidirect
102. #2979C22semidirect
105. #2975C22semidirect
108. #2969C22semidirect
110. #2965C22semidirect
113. #2935C22semidirect
116. C2×C8×D4C22semidirect
119. #1704C22semidirect
120. #1703C22semidirect
121. #1703C22semidirect
122. #1703C22semidirect
123. #1702C22semidirect
126. #1701C22semidirect
127. #1699C22semidirect
128. #1699C22semidirect
129. #1697C22semidirect
130. #1697C22semidirect
131. #1692C22semidirect
132. #1691C22semidirect
133. #1690C22semidirect
134. #1689C22semidirect
135. #1689C22semidirect
136. #1689C22semidirect
137. #1688C22semidirect
140. #1687C22semidirect
141. #1686C22semidirect
142. #1686C22semidirect
143. #1686C22semidirect
148. #1685C22semidirect
149. #1685C22semidirect
150. #1685C22semidirect
151. #1684C22semidirect
152. #1683C22semidirect
153. #1683C22semidirect
154. #1683C22semidirect
155. #1682C22semidirect
158. #1681C22semidirect
159. #1680C22semidirect
160. #1679C22semidirect
161. #1678C22semidirect
162. #1677C22semidirect
163. #1671C22semidirect
164. #1671C22semidirect
165. #1670C22semidirect
166. #1669C22semidirect
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. #1572C22semidirect
188. #1572C22semidirect
189. #1569C22semidirect
190. #1569C22semidirect
191. #1568C22semidirect
192. #1565C22semidirect
193. #1565C22semidirect
194. #1564C22semidirect
196. #1553C22semidirect
197. #1553C22semidirect
198. #1553C22semidirect
199. #1552C22semidirect
200. #1552C22semidirect
202. #1551C22semidirect
203. #1550C22semidirect
204. #1549C22semidirect
205. #1547C22semidirect
206. #1545C22semidirect
207. #1544C22semidirect
208. #1544C22semidirect
210. #1543C22semidirect
211. #1542C22semidirect
213. #1540C22semidirect
214. #1540C22semidirect
215. #1540C22semidirect
216. #1540C22semidirect
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
#624272
#609902
#609882
#603122
#195812
#195802
#195772
#195762
#195572
#195562
#195532
#195522
#194252
#194242
#194132
#194122
#193772
#193762
#193712
#193702
#192942
#192572
#192492
#192482
#192312
#192302
#191592
#191012
#178332
#177272
#177242