Finite Group Databasebeta

← #6356475

Subgroups — #6356475

Order 512.

1559 conjugacy classes of subgroups.

The subgroup lattice has 1531 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62422C211yesmaximal, characteristic, complemented
2#60990C211yesmaximal, characteristic
3#60888C211yesmaximal, characteristic, complemented
4#60326C211yesmaximal, characteristic, complemented
5#19580C211yesmaximal, characteristic, complemented
6#19577C211yesmaximal, characteristic, complemented
7#19556C211yesmaximal, characteristic, complemented
8#19553C211yesmaximal, characteristic, complemented
9#19539C211yesmaximal, characteristic, complemented
10#19537C211yesmaximal, characteristic, complemented
11#19507C211yesmaximal, characteristic, complemented
12#19504C211yesmaximal, characteristic, complemented
13#19482C211yesmaximal, characteristic, complemented
14#19481C211yesmaximal, characteristic, complemented
15#19460C211yesmaximal, characteristic, complemented
16#19457C211yesmaximal, characteristic, complemented
17#19377C211yesmaximal, characteristic, complemented
18#19369C211yesmaximal, characteristic, complemented
19#19352C211yesmaximal, characteristic, complemented
20#19336C211yesmaximal, characteristic, complemented
21#19321C211yesmaximal, characteristic, complemented
22#19305C211yesmaximal, characteristic, complemented
23#19253C211yesmaximal, characteristic, complemented
24#19231C211yesmaximal, characteristic, complemented
25#19220C211yesmaximal, characteristic, complemented
26#19186C211yesmaximal, characteristic, complemented
27#19183C211yesmaximal, characteristic, complemented
28#19163C211yesmaximal, characteristic, complemented
29#17833C211yesmaximal, characteristic, complemented
30#17766C211yesmaximal, characteristic, complemented
31#17761C211yesmaximal, characteristic, complemented
32#3508C2211yescharacteristic
33#3503C2211yescharacteristic
34#3460C2211yescharacteristic
35#3400—21no—
36#3400—21no—
37#3278—21no—
38#3278—21no—
39#3266—21no—
40#3266—21no—
41#3266—21no—
42#3266—21no—
43#3253C2211yescharacteristic
44#3251C2211yescharacteristic
45#3247C2211yescharacteristic
46#3245C2211yescharacteristic
47#3243—21no—
48#3243—21no—
49#3241—21no—
50#3241—21no—
51#3241—21no—
52#3239C2211yescharacteristic
53#3239C2211yescharacteristic, complemented
54#3235C2211yescharacteristic
55#3235C2211yescharacteristic
56#3235C2211yescharacteristic, complemented
57#3233C2211yescharacteristic
58#3233C2211yescharacteristic
59#3233C2211yescharacteristic, complemented
60#3226C2211yescharacteristic
61#3226C2211yescharacteristic, complemented
62#3220—21no—
63#3217C2211yescharacteristic
64#3210C2211yescharacteristic
65#3210C2211yescharacteristic, complemented
66#3209C2211yescharacteristic, complemented
67#3208C2211yescharacteristic, complemented
68#3206C2211yescharacteristic
69#3206C2211yescharacteristic, complemented
70#3205C2211yescharacteristic
71#3199—21no—
72#3198—21no—
73#3182C2211yescharacteristic
74#3182C2211yescharacteristic, complemented
75#3179—21no—
76#3176—21no—
77#3170C2211yescharacteristic, complemented
78#3164—21no—
79#3152C2211yescharacteristic
80#3152C2211yescharacteristic, complemented
81C2×#492C2211yescharacteristic, complemented
82#3136—21no—
83#3122—21no—
84#3118—21no—
85#3115C2211yescharacteristic
86#3109C2211yescharacteristic
87#3106C2211yescharacteristic
88#3100C2211yescharacteristic
89#3098—21no—
90#3096—21no—
91#3079C2211yescharacteristic, complemented
92#3077C2211yescharacteristic, complemented
93#3076C2211yescharacteristic, complemented
94C2×#474C2211yescharacteristic, complemented
95#2994C2211yescharacteristic, complemented
96#2993C2211yescharacteristic
97#2992—21no—
98#2990C2211yescharacteristic, complemented
99#2989C2211yescharacteristic
100#2981C2211yescharacteristic
101#2980—21no—
102#2979C2211yescharacteristic, complemented
103#2978—21no—
104#2976—21no—
105#2974C2211yescharacteristic, complemented
106#2971C2211yescharacteristic, complemented
107#2969C2211yescharacteristic, complemented
108#2967—21no—
109#2966C2211yescharacteristic
110#2965C2211yescharacteristic
111#2935—21no—
112#2935C2211yescharacteristic, complemented
113D4×M16C2211yescharacteristic, complemented
114#2933—21no—
115#2931C2211yescharacteristic
116#2930—21no—
117#2925C2211yescharacteristic
118#2925C2211yescharacteristic
119#1704C2211yescharacteristic, complemented
120#1704C2211yescharacteristic, complemented
121#1704C2211yescharacteristic, complemented
122#1703C2211yescharacteristic, complemented
123#1703C2211yescharacteristic, complemented
124#1703C2211yescharacteristic, complemented
125#1703C2211yescharacteristic, complemented
126#1703C2211yescharacteristic, complemented
127#1698C2211yescharacteristic, complemented
128#1697C2211yescharacteristic
129#1697C2211yescharacteristic
130#1697C2211yescharacteristic, complemented
131#1695C2211yescharacteristic, complemented
132#1695C2211yescharacteristic, complemented
133#1690C2211yescharacteristic, complemented
134#1689C2211yescharacteristic, complemented
135#1689C2211yescharacteristic, complemented
136#1689C2211yescharacteristic, complemented
137#1689C2211yescharacteristic, complemented
138#1689C2211yescharacteristic, complemented
139#1686C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic
143#1685C2211yescharacteristic
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#1683C2211yescharacteristic, complemented
156#1683C2211yescharacteristic, complemented
157#1683C2211yescharacteristic, complemented
158#1683C2211yescharacteristic, complemented
159#1678C2211yescharacteristic, complemented
160#1677C2211yescharacteristic
161#1677C2211yescharacteristic
162#1677C2211yescharacteristic, complemented
163#1676C2211yescharacteristic, complemented
164#1675C2211yescharacteristic, complemented
165#1670C2211yescharacteristic, complemented
166#1670C2211yescharacteristic, complemented
167#1669C2211yescharacteristic, complemented
168#1669C2211yescharacteristic, complemented
169#1669C2211yescharacteristic, complemented
170#1669C2211yescharacteristic, complemented
171#1666C2211yescharacteristic, complemented
172#1666C2211yescharacteristic, complemented
173#1666C2211yescharacteristic, complemented
174#1665C2211yescharacteristic
175#1665C2211yescharacteristic
176#1665C2211yescharacteristic
177#1665C2211yescharacteristic
178#1665C2211yescharacteristic
179#1665C2211yescharacteristic
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#1560C2211yescharacteristic
196#1559C2211yescharacteristic, complemented
197#1559C2211yescharacteristic, complemented
198#1559C2211yescharacteristic, complemented
199#1557C2211yescharacteristic
200#1556C2211yescharacteristic, complemented
201#1556C2211yescharacteristic, complemented
202#1555C2211yescharacteristic, complemented
203#1554C2211yescharacteristic, complemented
204#1554C2211yescharacteristic, complemented
205#1554C2211yescharacteristic, complemented
206#1553C2211yescharacteristic, complemented
207#1551C2211yescharacteristic
208#1551C2211yescharacteristic, complemented
209#1550C2211yescharacteristic, complemented
210#1549C2211yescharacteristic, complemented
211#1547C2211yescharacteristic
212#1546C2211yescharacteristic, complemented
213#1546C2211yescharacteristic, complemented
214#1545C2211yescharacteristic, complemented
215#1543C2211yescharacteristic, complemented
216#1542C2211yescharacteristic, complemented
217#1540C2211yescharacteristic, complemented
218C2×#332C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×#137—21no—
221C2×#137—21no—
222C2×#137—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C2×#131—21no—
226C2×#131—21no—
227C22×M16—21no—
228#559—21no—
229#559—21no—
230Q82—21no—
231#557—21no—
232#554—21no—
233#554—21no—
234#554—21no—
235#550—21no—
236#550—21no—
237D4×Q8—21no—
238D4×Q8—21no—
239D4×Q8—21no—
240#546—21no—
241#546—21no—
242#546—21no—
243#546—21no—
244#544—21no—
245#544—21no—
246#544—21no—
247#544D411yescharacteristic
248#542—21no—
249#542D411yescharacteristic
250#542D411yescharacteristic
251#540—21no—
252#540—21no—
253#540—21no—
254#540D411yescharacteristic
255#540D411yescharacteristic
256#538—21no—
257#538—21no—
258#537D411yescharacteristic
259#535—21no—
260#535D411yescharacteristic
261#535D411yescharacteristic
262#533C2311yescharacteristic
263#533C2311yescharacteristic
264#533C2311yescharacteristic
265#533C2311yescharacteristic
266#532—21no—
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#532C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
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#501—21no—
290#501—21no—
291#501—21no—
292#500—21no—
293#500—21no—
294#500C2311yescharacteristic
295#499—21no—
296#499—21no—
297#499—21no—
298#497—21no—
299#497—21no—
300#497—21no—
301#497—21no—
302#496—21no—
303#494C2311yescharacteristic
304#494C2311yescharacteristic
305#494C2311yescharacteristic
306#493—21no—
307#492—21no—
308#492—21no—
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#492C2311yescharacteristic
314#492C2311yescharacteristic
315#490—21no—
316#490—21no—
317#490—21no—
318#490—21no—
319#489—21no—
320#489—21no—
321#488—21no—
322#488—21no—
323#488—21no—
324#487C2311yescharacteristic
325#487C2311yescharacteristic
326#487C2311yescharacteristic
327#487C2311yescharacteristic
328#486—21no—
329#486—21no—
330#486—21no—
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#485—21no—
334#485—21no—
335#485—21no—
336#484—21no—
337#484—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#481—21no—
350#481—21no—
351#481—21no—
352#480—21no—
353#480—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#479—21no—
358#478—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#477—21no—
364#477C2311yescharacteristic
365#477C2311yescharacteristic
366#476—21no—
367#476—21no—
368#476C2311yescharacteristic
369#476C2311yescharacteristic
370#476C2311yescharacteristic
371#476C2311yescharacteristic
372#476C2311yescharacteristic
373#476C2311yescharacteristic
374#475C2311yescharacteristic
375#475C2311yescharacteristic
376#475C2311yescharacteristic
377#475C2311yescharacteristic
378#474—21no—
379#474—21no—
380#474—21no—
381#474C2311yescharacteristic
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#469—21no—
394#469—21no—
395#469—21no—
396#468—21no—
397#468—21no—
398#468—21no—
399#468—21no—
400#468—21no—
401#467—21no—
402#467—21no—
403#466—21no—
404#466—21no—
405#466—21no—
406#465—21no—
407#464—21no—
408#464—21no—
409#464—21no—
410#464—21no—
411#463—21no—
412#463—21no—
413#462—21no—
414#462—21no—
415#461—21no—
416#461—21no—
417#461—21no—
418#461—21no—
419#460—21no—
420#460—21no—
421#460C2311yescharacteristic
422#460C2311yescharacteristic
423#459—21no—
424#459—21no—
425#459C2311yescharacteristic
426#459C2311yescharacteristic
427#459C2311yescharacteristic
428#459C2311yescharacteristic
429#459C2311yescharacteristic
430#459C2311yescharacteristic
431#452—21no—
432#452—21no—
433#452—21no—
434#452—21no—
435#451—21no—
436#451—21no—
437#450—21no—
438#450—21no—
439#450—21no—
440#449—21no—
441#449—21no—
442#448—21no—
443#448—21no—
444#448—21no—
445#448—21no—
446#447—21no—
447#447—21no—
448#447—21no—
449#447—21no—
450#447—21no—
451#446—21no—
452#446D411yescharacteristic
453#446D411yescharacteristic
454#446C2311yescharacteristic
455#446C2311yescharacteristic
456C8×Q8C2311yescharacteristic
457C8×Q8C2311yescharacteristic
458#442—21no—
459#442—21no—
460#442—21no—
461#440—21no—
462#440—21no—
463#440—21no—
464#440—21no—
465#440—21no—
466C4×Q16—21no—
467C4×Q16—21no—
468C4×SD16—21no—
469C4×D8—21no—
470C4×D8—21no—
471C4×D8—21no—
472#436—21no—
473#436—21no—
474#436—21no—
475#436—21no—
476#436—21no—
477#436—21no—
478#436—21no—
479#436D411yescharacteristic
480#436D411yescharacteristic
481#436C2311yescharacteristic
482#436C2311yescharacteristic
483#436C2311yescharacteristic
484#436C2311yescharacteristic
485#436C2311yescharacteristic
486#436C2311yescharacteristic
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#435—21no—
499#435—21no—
500#435—21no—
501#435—21no—
502#435—21no—
503#435D411yescharacteristic
504#435D411yescharacteristic
505#435D411yescharacteristic
506#435D411yescharacteristic
507C8×D4—21no—
508C8×D4—21no—
509C8×D4—21no—
510C8×D4—21no—
511C8×D4C2311yescharacteristic
512C8×D4C2311yescharacteristic
513C8×D4C2311yescharacteristic
514C8×D4C2311yescharacteristic
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517#433—21no—
518#433—21no—
519#433—21no—
520#433—21no—
521#433—21no—
522#433—21no—
523#433—21no—
524#433—21no—
525#432—21no—
526#432—21no—
527#432C2311yescharacteristic
528#432C2311yescharacteristic
529#432C2311yescharacteristic
530#432C2311yescharacteristic
531#432C2311yescharacteristic
532#432C2311yescharacteristic
533#431C2311yescharacteristic
534#431C2311yescharacteristic
535#431C2311yescharacteristic
536#431C2311yescharacteristic
537#431C2311yescharacteristic
538#431C2311yescharacteristic
539#431C2311yescharacteristic
540#431C2311yescharacteristic
541#428—21no—
542#428—21no—
543#427—21no—
544C2×#107—21no—
545#424—21no—
546#424—21no—
547#423C2311yescharacteristic
548#423C2311yescharacteristic
549#423C2311yescharacteristic
550#423C2311yescharacteristic
551C2×C4⋊C8—21no—
552C2×C4⋊C8C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554C2×C4⋊C8C2311yescharacteristic
555#418—21no—
556#417—21no—
557#416—21no—
558C2×#102—21no—
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#333C2311yescharacteristic
599#333C2311yescharacteristic
600#333C2311yescharacteristic
601#333C2311yescharacteristic
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×#41—21no—
632C2×#41C2×D411yescharacteristic
633C2×#41C2×D411yescharacteristic
634C22×Q8—21no—
635C22×Q8—21no—
636C22×Q8—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4C2×D411yescharacteristic
641C23×C4—21no—
642#137—82no—
643#137—82no—
644#137—82no—
645#137—82no—
646C2×Q16—21no—
647C2×Q16—21no—
648C2×Q16—21no—
649C2×Q16—21no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×SD16—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—82no—
667C2×SD16—82no—
668C2×D8—21no—
669C2×D8—21no—
670C2×D8—21no—
671C2×D8—21no—
672C2×D8—21no—
673C2×D8—21no—
674#131—82no—
675#131—82no—
676C2×M16—21no—
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—21no—
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C2×M16—21no—
686C2×M16—82no—
687C2×M16C2×D411yescharacteristic
688C2×M16C2×D411yescharacteristic
689C2×M16C2×D411yescharacteristic
690C2×M16C2×D411yescharacteristic
691C22×C8—21no—
692C22×C8—21no—
693C22×C8—21no—
694C22×C8—21no—
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8C2×D411yescharacteristic
701C22×C8C2×D411yescharacteristic
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—41no—
713C4⋊Q8—41no—
714C4⋊Q8—41no—
715C4⋊Q8C2×D411yescharacteristic
716C4⋊Q8C2×D411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723#127—21no—
724#127—21no—
725#127—21no—
726#127—21no—
727#127—41no—
728#127C2×D411yescharacteristic
729#127C2×D411yescharacteristic
730#127C2411yescharacteristic
731#127C2411yescharacteristic
732#126—21no—
733#126—21no—
734#126—21no—
735#126—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125C2×D411yescharacteristic
745#125C2×D411yescharacteristic
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—41no—
756#124C2×D411yescharacteristic
757#124C2×D411yescharacteristic
758#123—21no—
759#123—21no—
760#123—21no—
761#123—21no—
762#123—21no—
763#123—21no—
764#123—21no—
765#123—21no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770C22⋊Q8—21no—
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—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
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—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121C2×D411yescharacteristic
815#121C2×D411yescharacteristic
816#121C2×D411yescharacteristic
817#121C2×D411yescharacteristic
818#121C2×D411yescharacteristic
819#121C2×D411yescharacteristic
820#120—21no—
821#120—21no—
822#120—21no—
823#120—21no—
824#120—41no—
825#120—41no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—41no—
835C4×Q8C2×D411yescharacteristic
836C4×Q8C2×D411yescharacteristic
837C4×Q8#4111yescharacteristic
838C4×Q8C2411yescharacteristic
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—21no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4C2×D411yescharacteristic
861C4×D4C2×D411yescharacteristic
862C4×D4C2×D411yescharacteristic
863C4×D4C2×D411yescharacteristic
864C4×D4C2×D411yescharacteristic
865C4×D4C2×D411yescharacteristic
866C4×D4#4111yescharacteristic
867C4×D4#4111yescharacteristic
868C4×D4#4111yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871C4×D4C2411yescharacteristic
872#117—21no—
873#117—21no—
874#117—21no—
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117C2×D411yescharacteristic
880#117C2×D411yescharacteristic
881#117C2×D411yescharacteristic
882#117C2×D411yescharacteristic
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C22⋊C4—21no—
891C2×C22⋊C4—41no—
892C2×C22⋊C4—41no—
893C2×C42—21no—
894C2×C42C2411yescharacteristic
895C2×C42C2411yescharacteristic
896C2×C42C2411yescharacteristic
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
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#106—21no—
914#106—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#97—21no—
1032#97—21no—
1033#97C2×D411yescharacteristic
1034#97C2×D411yescharacteristic
1035#97C2×D411yescharacteristic
1036#97C2×D411yescharacteristic
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—161no—
1065#41—161no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—81no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8—81no—
1083C2×Q8#12111yescharacteristic
1084C2×Q8C22×D411yescharacteristic
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—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—161no—
1117C2×D4#12111yescharacteristic
1118C2×D4#12111yescharacteristic
1119C2×D4#12111yescharacteristic
1120C2×D4C22×D411yescharacteristic
1121C2×D4C22×D411yescharacteristic
1122C2×D4C22×D411yescharacteristic
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—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—81no—
1139C22×C4—81no—
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C2×#4111yescharacteristic
1147C22×C4C2×#4111yescharacteristic
1148C22×C4C2×#4111yescharacteristic
1149Q16—42no—
1150Q16—42no—
1151Q16—81no—
1152Q16—81no—
1153Q16—81no—
1154Q16—81no—
1155SD16—42no—
1156SD16—42no—
1157SD16—42no—
1158SD16—42no—
1159SD16—81no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164SD16—81no—
1165SD16—81no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169D8—81no—
1170D8—81no—
1171D8—81no—
1172D8—81no—
1173D8—81no—
1174D8—81no—
1175M16—22no—
1176M16—22no—
1177M16—41no—
1178M16—41no—
1179M16—42no—
1180M16—42no—
1181M16—42no—
1182M16—81no—
1183M16—81no—
1184M16—81no—
1185M16—81no—
1186M16—81no—
1187M16—81no—
1188M16—81no—
1189C2×C8—22no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
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—41no—
1203C2×C8—42no—
1204C2×C8—42no—
1205C2×C8—81no—
1206C2×C8—81no—
1207C2×C8—81no—
1208C2×C8—81no—
1209C2×C8—81no—
1210C2×C8—81no—
1211C2×C8—81no—
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C2×C8C22×D411yescharacteristic
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
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—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4#12111yescharacteristic
1258C4⋊C4#12111yescharacteristic
1259C4⋊C4#12111yescharacteristic
1260C4⋊C4#12111yescharacteristic
1261C4⋊C4#12111yescharacteristic
1262C4⋊C4#12111yescharacteristic
1263C4⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C4⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—21no—
1271C22⋊C4—21no—
1272C22⋊C4—21no—
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—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4#12111yescharacteristic
1299C22⋊C4#12111yescharacteristic
1300C22⋊C4#12111yescharacteristic
1301C22⋊C4#12111yescharacteristic
1302C22⋊C4#12111yescharacteristic
1303C22⋊C4#12111yescharacteristic
1304C42—21no—
1305C42—21no—
1306C42—21no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42C22×D411yescharacteristic
1312C42C22×D411yescharacteristic
1313C42C22×D411yescharacteristic
1314C42C22×D411yescharacteristic
1315C42C22×D411yescharacteristic
1316C42C22×D411yescharacteristic
1317C42C2×#4111yescharacteristic
1318C42C2×#4111yescharacteristic
1319C42C2×#4111yescharacteristic
1320C42C2511yescharacteristic
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—41no—
1325C23—41no—
1326C23—81no—
1327C23—81no—
1328C23—81no—
1329C23—82no—
1330C23—161no—
1331C23—161no—
1332C23C2×#12111yescharacteristic
1333C23C2×#12111yescharacteristic
1334C23C2×#12111yescharacteristic
1335Q8—21no—
1336Q8—21no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—81no—
1347Q8—81no—
1348Q8—81no—
1349Q8—81no—
1350Q8—161no—
1351Q8—161no—
1352Q8—161no—
1353D4—21no—
1354D4—21no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—21no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—81no—
1371D4—81no—
1372D4—81no—
1373D4—81no—
1374D4—81no—
1375D4—81no—
1376D4—81no—
1377D4—82no—
1378D4—81no—
1379D4—81no—
1380D4—81no—
1381D4—81no—
1382D4—81no—
1383D4—81no—
1384D4—81no—
1385D4—161no—
1386D4—161no—
1387D4—161no—
1388D4—161no—
1389D4—161no—
1390D4—161no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—81no—
1424C2×C4—81no—
1425C2×C4—81no—
1426C2×C4—81no—
1427C2×C4—81no—
1428C2×C4—161no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4—161no—
1434C2×C4—161no—
1435C2×C4C2×#12111yescharacteristic
1436C2×C4C2×#12111yescharacteristic
1437C2×C4C2×#12111yescharacteristic
1438C2×C4C2×#12111yescharacteristic
1439C2×C4C2×#12111yescharacteristic
1440C2×C4C2×#12111yescharacteristic
1441C2×C4C2×#12111yescharacteristic
1442C2×C4C2×#12111yescharacteristic
1443C2×C4C2×#12111yescharacteristic
1444C2×C4C23×D411yescharacteristic
1445C2×C4C23×D411yescharacteristic
1446C2×C4C22×#4111yescharacteristic
1447C8—21no—
1448C8—21no—
1449C8—21no—
1450C8—21no—
1451C8—21no—
1452C8—21no—
1453C8—21no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C8—41no—
1463C8—41no—
1464C8—41no—
1465C8—41no—
1466C8#57612yes—
1467C22—21no—
1468C22—21no—
1469C22—21no—
1470C22—21no—
1471C22—21no—
1472C22—21no—
1473C22—21no—
1474C22—21no—
1475C22—21no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—81no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—81no—
1490C22—81no—
1491C22—162no—
1492C22—322no—
1493C22C22×#12111yescharacteristic
1494C4—21no—
1495C4—21no—
1496C4—21no—
1497C4—21no—
1498C4—21no—
1499C4—21no—
1500C4—21no—
1501C4—21no—
1502C4—21no—
1503C4—21no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4—81no—
1515C4C2×#57611yescharacteristic
1516C4#358511yescharacteristic
1517C4#358611yescharacteristic
1518C4#358611yescharacteristic
1519C2—41no—
1520C2—41no—
1521C2—41no—
1522C2—81no—
1523C2—81no—
1524C2—81no—
1525C2—161no—
1526C2—161no—
1527C2#6042811yescharacteristic
1528C2#6045511yescharacteristic
1529C2#6047011yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
prime radical#60990C2
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. #62422C2semidirect
3. #60888C2semidirect
4. #60326C2semidirect
5. #19580C2semidirect
6. #19577C2semidirect
7. #19556C2semidirect
8. #19553C2semidirect
9. #19539C2semidirect
10. #19537C2semidirect
11. #19507C2semidirect
12. #19504C2semidirect
13. #19482C2semidirect
14. #19481C2semidirect
15. #19460C2semidirect
16. #19457C2semidirect
17. #19377C2semidirect
18. #19369C2semidirect
19. #19352C2semidirect
20. #19336C2semidirect
21. #19321C2semidirect
22. #19305C2semidirect
23. #19253C2semidirect
24. #19231C2semidirect
25. #19220C2semidirect
26. #19186C2semidirect
27. #19183C2semidirect
28. #19163C2semidirect
29. #17833C2semidirect
30. #17766C2semidirect
31. #17761C2semidirect
53. #3239C22semidirect
56. #3235C22semidirect
59. #3233C22semidirect
61. #3226C22semidirect
65. #3210C22semidirect
66. #3209C22semidirect
67. #3208C22semidirect
69. #3206C22semidirect
74. #3182C22semidirect
77. #3170C22semidirect
80. #3152C22semidirect
81. C2×#492C22semidirect
91. #3079C22semidirect
92. #3077C22semidirect
93. #3076C22semidirect
94. C2×#474C22semidirect
95. #2994C22semidirect
98. #2990C22semidirect
102. #2979C22semidirect
105. #2974C22semidirect
106. #2971C22semidirect
107. #2969C22semidirect
112. #2935C22semidirect
113. D4×M16C22semidirect
119. #1704C22semidirect
120. #1704C22semidirect
121. #1704C22semidirect
122. #1703C22semidirect
123. #1703C22semidirect
124. #1703C22semidirect
125. #1703C22semidirect
126. #1703C22semidirect
127. #1698C22semidirect
130. #1697C22semidirect
131. #1695C22semidirect
132. #1695C22semidirect
133. #1690C22semidirect
134. #1689C22semidirect
135. #1689C22semidirect
136. #1689C22semidirect
137. #1689C22semidirect
138. #1689C22semidirect
139. #1686C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
148. #1685C22semidirect
149. #1685C22semidirect
150. #1685C22semidirect
151. #1684C22semidirect
152. #1683C22semidirect
153. #1683C22semidirect
154. #1683C22semidirect
155. #1683C22semidirect
156. #1683C22semidirect
157. #1683C22semidirect
158. #1683C22semidirect
159. #1678C22semidirect
162. #1677C22semidirect
163. #1676C22semidirect
164. #1675C22semidirect
165. #1670C22semidirect
166. #1670C22semidirect
167. #1669C22semidirect
168. #1669C22semidirect
169. #1669C22semidirect
170. #1669C22semidirect
171. #1666C22semidirect
172. #1666C22semidirect
173. #1666C22semidirect
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. #1559C22semidirect
197. #1559C22semidirect
198. #1559C22semidirect
200. #1556C22semidirect
201. #1556C22semidirect
202. #1555C22semidirect
203. #1554C22semidirect
204. #1554C22semidirect
205. #1554C22semidirect
206. #1553C22semidirect
208. #1551C22semidirect
209. #1550C22semidirect
210. #1549C22semidirect
212. #1546C22semidirect
213. #1546C22semidirect
214. #1545C22semidirect
215. #1543C22semidirect
216. #1542C22semidirect
217. #1540C22semidirect
218. C2×#332C22semidirect

Maximal subgroups

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

subgroupindex
#624222
#609902
#608882
#603262
#195802
#195772
#195562
#195532
#195392
#195372
#195072
#195042
#194822
#194812
#194602
#194572
#193772
#193692
#193522
#193362
#193212
#193052
#192532
#192312
#192202
#191862
#191832
#191632
#178332
#177662
#177612