Finite Group Databasebeta

← #6356797

Subgroups — #6356797

Order 512.

1574 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62480C211yesmaximal, characteristic, complemented
2#61980C211yesmaximal, characteristic, complemented
3#61978C211yesmaximal, characteristic
4#60311C211yesmaximal, characteristic, complemented
5#19590C211yesmaximal, characteristic, complemented
6#19589C211yesmaximal, characteristic, complemented
7#19550C211yesmaximal, characteristic, complemented
8#19546C211yesmaximal, characteristic, complemented
9#19518C211yesmaximal, characteristic, complemented
10#19514C211yesmaximal, characteristic, complemented
11#19464C211yesmaximal, characteristic, complemented
12#19462C211yesmaximal, characteristic, complemented
13#19418C211yesmaximal, characteristic, complemented
14#19416C211yesmaximal, characteristic, complemented
15#19395C211yesmaximal, characteristic, complemented
16#19392C211yesmaximal, characteristic, complemented
17#19378C211yesmaximal, characteristic, complemented
18#19368C211yesmaximal, characteristic, complemented
19#19358C211yesmaximal, characteristic, complemented
20#19314C211yesmaximal, characteristic, complemented
21#19304C211yesmaximal, characteristic, complemented
22#19257C211yesmaximal, characteristic, complemented
23#19246C211yesmaximal, characteristic, complemented
24#19232C211yesmaximal, characteristic, complemented
25#19229C211yesmaximal, characteristic, complemented
26#19178C211yesmaximal, characteristic, complemented
27#19164C211yesmaximal, characteristic, complemented
28C2×#1673C211yesmaximal, characteristic, complemented
29#17840C211yesmaximal, characteristic, complemented
30#17775C211yesmaximal, characteristic, complemented
31#17774C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3503C2211yescharacteristic
34#3481C2211yescharacteristic
35#3401—21no—
36#3400—21no—
37#3385—21no—
38#3385—21no—
39#3376—21no—
40#3372—21no—
41#3357—21no—
42#3357—21no—
43#3346—21no—
44#3346—21no—
45#3346—21no—
46#3346—21no—
47#3320—21no—
48#3320—21no—
49#3316—21no—
50#3307—21no—
51#3301—21no—
52#3299—21no—
53#3282—21no—
54D4×SD16—21no—
55#3267—21no—
56#3266—21no—
57#3266—21no—
58#3265—21no—
59#3254C2211yescharacteristic
60#3252C2211yescharacteristic
61#3248C2211yescharacteristic
62#3248C2211yescharacteristic
63#3247C2211yescharacteristic
64#3246C2211yescharacteristic
65#3231C2211yescharacteristic, complemented
66#3231C2211yescharacteristic, complemented
67#3230C2211yescharacteristic, complemented
68#3227C2211yescharacteristic, complemented
69#3226C2211yescharacteristic, complemented
70#3226C2211yescharacteristic, complemented
71#3218C2211yescharacteristic
72#3218C2211yescharacteristic
73#3218C2211yescharacteristic
74#3214C2211yescharacteristic
75#3212C2211yescharacteristic
76#3206C2211yescharacteristic
77#3182C2211yescharacteristic, complemented
78#3182C2211yescharacteristic, complemented
79#3167C2211yescharacteristic, complemented
80#3165C2211yescharacteristic, complemented
81#3165C2211yescharacteristic, complemented
82C2×#500C2211yescharacteristic, complemented
83#3116C2211yescharacteristic
84#3110C2211yescharacteristic
85#3110C2211yescharacteristic
86#3109C2211yescharacteristic
87#3107C2211yescharacteristic
88#3101C2211yescharacteristic
89#3039C2211yescharacteristic
90#3036C2211yescharacteristic
91#3035C2211yescharacteristic
92C2×#461C2211yescharacteristic
93C2×#461C2211yescharacteristic
94C2×#461C2211yescharacteristic
95#2994C2211yescharacteristic
96#2993C2211yescharacteristic
97#2992—21no—
98#2990C2211yescharacteristic
99#2990C2211yescharacteristic
100#2990C2211yescharacteristic
101#2988C2211yescharacteristic
102#2981C2211yescharacteristic
103#2977—21no—
104#2976—21no—
105#2974—21no—
106#2974C2211yescharacteristic
107#2972C2211yescharacteristic
108#2970C2211yescharacteristic
109#2969C2211yescharacteristic
110#2968—21no—
111#2966C2211yescharacteristic
112#2965C2211yescharacteristic
113#2935C2211yescharacteristic
114D4×M16C2211yescharacteristic
115#2933—21no—
116#2929—21no—
117C2×#435—21no—
118C2×C8×D4C2211yescharacteristic
119#1702C2211yescharacteristic, complemented
120#1701C2211yescharacteristic, complemented
121#1701C2211yescharacteristic, complemented
122#1701C2211yescharacteristic, complemented
123#1700C2211yescharacteristic, complemented
124#1699C2211yescharacteristic, complemented
125#1699C2211yescharacteristic, complemented
126#1699C2211yescharacteristic, complemented
127#1694C2211yescharacteristic, complemented
128#1694C2211yescharacteristic, complemented
129#1694C2211yescharacteristic, complemented
130#1693C2211yescharacteristic, complemented
131#1693C2211yescharacteristic, complemented
132#1693C2211yescharacteristic, complemented
133#1693C2211yescharacteristic, complemented
134#1693C2211yescharacteristic, complemented
135#1692C2211yescharacteristic, complemented
136#1692C2211yescharacteristic, complemented
137#1691C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1684C2211yescharacteristic, complemented
144#1683C2211yescharacteristic
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1682C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic
150#1681C2211yescharacteristic
151#1681C2211yescharacteristic
152#1681C2211yescharacteristic, complemented
153#1681C2211yescharacteristic, complemented
154#1681C2211yescharacteristic, complemented
155#1680C2211yescharacteristic, complemented
156#1679C2211yescharacteristic
157#1679C2211yescharacteristic
158#1679C2211yescharacteristic, complemented
159#1674C2211yescharacteristic, complemented
160#1674C2211yescharacteristic, complemented
161#1674C2211yescharacteristic, complemented
162#1673C2211yescharacteristic
163#1673C2211yescharacteristic
164#1673C2211yescharacteristic
165#1673C2211yescharacteristic
166#1673C2211yescharacteristic
167#1673C2211yescharacteristic
168#1673C2211yescharacteristic, complemented
169#1673C2211yescharacteristic, complemented
170#1673C2211yescharacteristic, complemented
171#1673C2211yescharacteristic, complemented
172#1673C2211yescharacteristic, complemented
173#1673C2211yescharacteristic, complemented
174#1673C2211yescharacteristic, complemented
175#1672C2211yescharacteristic, complemented
176#1671C2211yescharacteristic
177#1671C2211yescharacteristic
178#1671C2211yescharacteristic
179#1671C2211yescharacteristic, complemented
180#1671C2211yescharacteristic, complemented
181#1665C2211yescharacteristic
182#1665C2211yescharacteristic, complemented
183#1573C2211yescharacteristic, complemented
184#1573C2211yescharacteristic, complemented
185#1572C2211yescharacteristic, complemented
186#1572C2211yescharacteristic, complemented
187#1571C2211yescharacteristic, complemented
188#1571C2211yescharacteristic, complemented
189#1569C2211yescharacteristic, complemented
190#1569C2211yescharacteristic, complemented
191#1568C2211yescharacteristic, complemented
192#1565C2211yescharacteristic, complemented
193#1565C2211yescharacteristic, complemented
194C2×#335C2211yescharacteristic, complemented
195#1561C2211yescharacteristic, complemented
196#1559C2211yescharacteristic, complemented
197#1557C2211yescharacteristic, complemented
198#1556C2211yescharacteristic, complemented
199#1556C2211yescharacteristic, complemented
200#1556C2211yescharacteristic, complemented
201#1554C2211yescharacteristic, complemented
202#1553C2211yescharacteristic, complemented
203#1552C2211yescharacteristic, complemented
204#1552C2211yescharacteristic, complemented
205#1552C2211yescharacteristic, complemented
206#1552C2211yescharacteristic, complemented
207#1551C2211yescharacteristic, complemented
208#1551C2211yescharacteristic, complemented
209#1550C2211yescharacteristic, complemented
210#1549C2211yescharacteristic, complemented
211#1547C2211yescharacteristic, complemented
212#1546C2211yescharacteristic, complemented
213#1544C2211yescharacteristic, complemented
214#1542C2211yescharacteristic, complemented
215#1540C2211yescharacteristic, complemented
216C2×#332C2211yescharacteristic, complemented
217C2×#332C2211yescharacteristic, complemented
218C2×#332C2211yescharacteristic, complemented
219C2×#137—21no—
220C2×AGL(1,ℤ/8)—21no—
221C2×#135—21no—
222C22×SD16—21no—
223C22×SD16—21no—
224C22×SD16—21no—
225C2×#131—21no—
226C22×M16—21no—
227C23×C8—21no—
228#559D411yescharacteristic
229Q82—21no—
230#557—21no—
231#556—21no—
232#555—21no—
233#554—21no—
234#554—21no—
235#554—21no—
236#554—21no—
237#554D411yescharacteristic
238#554D411yescharacteristic
239#553—21no—
240#553—21no—
241#553—21no—
242#553D411yescharacteristic
243#553D411yescharacteristic
244#551—21no—
245#551—21no—
246D4×Q8—21no—
247D4×Q8—21no—
248D4×Q8—21no—
249#548—21no—
250#548—21no—
251#547—21no—
252#546—21no—
253#546D411yescharacteristic
254#546D411yescharacteristic
255D42D411yescharacteristic
256#544—21no—
257#544—21no—
258#544—21no—
259#542—21no—
260#542—21no—
261#537—21no—
262#533C2311yescharacteristic
263#533C2311yescharacteristic
264#533C2311yescharacteristic
265#533C2311yescharacteristic
266#533C2311yescharacteristic
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273C2×C4⋊Q8C2311yescharacteristic
274C2×C4⋊Q8C2311yescharacteristic
275#529—21no—
276#529C2311yescharacteristic
277#529C2311yescharacteristic
278#525—21no—
279#525—21no—
280#520—21no—
281#520—21no—
282C4×#41C2311yescharacteristic
283C4×#41C2311yescharacteristic
284C2×C4×D4—21no—
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287#501—21no—
288#501—21no—
289#501—21no—
290#501—21no—
291#500—21no—
292#500—21no—
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#498C2311yescharacteristic
300#498C2311yescharacteristic
301#498C2311yescharacteristic
302#497—21no—
303#497—21no—
304#497—21no—
305#496—21no—
306#495—21no—
307#492—21no—
308#492C2311yescharacteristic
309#491—21no—
310#491—21no—
311#491—21no—
312#489—21no—
313#488—21no—
314#487—21no—
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#486C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#485—21no—
322#485—21no—
323#485—21no—
324#485—21no—
325#485—21no—
326#485—21no—
327#484—21no—
328#484—21no—
329#484—21no—
330#484—21no—
331#483—21no—
332#481—21no—
333#481—21no—
334#481—21no—
335#480—21no—
336#480—21no—
337#480—21no—
338#480—21no—
339#479—21no—
340#479—21no—
341#479—21no—
342#479—21no—
343#479—21no—
344#479—21no—
345#479—21no—
346#478—21no—
347#477—21no—
348#477—21no—
349#477—21no—
350#477C2311yescharacteristic
351#476—21no—
352#476—21no—
353#476C2311yescharacteristic
354#476C2311yescharacteristic
355#476C2311yescharacteristic
356#475—21no—
357#475C2311yescharacteristic
358#474—21no—
359#474—21no—
360#474—21no—
361#474—21no—
362#474C2311yescharacteristic
363#474C2311yescharacteristic
364#474C2311yescharacteristic
365#470—21no—
366#468—21no—
367#468—21no—
368#468—21no—
369#468—21no—
370#468—21no—
371#468—21no—
372#468—21no—
373#467—21no—
374#467—21no—
375#466—21no—
376#465—21no—
377#465—21no—
378#465—21no—
379#465—21no—
380#465—21no—
381#465—21no—
382#465—21no—
383#464—21no—
384#464—21no—
385#464—21no—
386#464—21no—
387#463—21no—
388#463—21no—
389#463—21no—
390#463—21no—
391#462—21no—
392#462C2311yescharacteristic
393#462C2311yescharacteristic
394#462C2311yescharacteristic
395#462C2311yescharacteristic
396#462C2311yescharacteristic
397#461—21no—
398#461—21no—
399#461—21no—
400#461—21no—
401#461—21no—
402#461—21no—
403#461—21no—
404#461C2311yescharacteristic
405#461C2311yescharacteristic
406#461C2311yescharacteristic
407#461C2311yescharacteristic
408#461C2311yescharacteristic
409#461C2311yescharacteristic
410#461C2311yescharacteristic
411#461C2311yescharacteristic
412#461C2311yescharacteristic
413#461C2311yescharacteristic
414#461C2311yescharacteristic
415#461C2311yescharacteristic
416#461C2311yescharacteristic
417#461C2311yescharacteristic
418#461C2311yescharacteristic
419#460—21no—
420#460—21no—
421#460C2311yescharacteristic
422#459C2311yescharacteristic
423#459C2311yescharacteristic
424#459C2311yescharacteristic
425#452—21no—
426#452—21no—
427#452—21no—
428#451—21no—
429#451—21no—
430#451—21no—
431#450—21no—
432#450—21no—
433#450—21no—
434#449—21no—
435#449—21no—
436#449—21no—
437#448—21no—
438#448—21no—
439#448—21no—
440#448—21no—
441#448—21no—
442#447—21no—
443#446—21no—
444#446—21no—
445#446—21no—
446#446D411yescharacteristic
447#446D411yescharacteristic
448#446C2311yescharacteristic
449#446C2311yescharacteristic
450C8×Q8C2311yescharacteristic
451C8×Q8C2311yescharacteristic
452#442—21no—
453#442—21no—
454#441—21no—
455#440—21no—
456#440—21no—
457#440—21no—
458#440—21no—
459#440—21no—
460#440—21no—
461#440—21no—
462#440—21no—
463#440—21no—
464C4×Q16—21no—
465C4×SD16—21no—
466C4×SD16—21no—
467C4×SD16—21no—
468C4×SD16—21no—
469C4×SD16—21no—
470#436—21no—
471#436—21no—
472#436D411yescharacteristic
473#436D411yescharacteristic
474#436C2311yescharacteristic
475#436C2311yescharacteristic
476#436C2311yescharacteristic
477#436C2311yescharacteristic
478#435—21no—
479#435—21no—
480#435—21no—
481#435—21no—
482#435—21no—
483#435—21no—
484#435—21no—
485#435—21no—
486#435—21no—
487#435—21no—
488#435—21no—
489#435—21no—
490#435—21no—
491#435—21no—
492#435—21no—
493#435—21no—
494#435—21no—
495#435—21no—
496#435—21no—
497#435—21no—
498#435D411yescharacteristic
499#435D411yescharacteristic
500#435D411yescharacteristic
501#435D411yescharacteristic
502C8×D4—21no—
503C8×D4—21no—
504C8×D4—21no—
505C8×D4—21no—
506C8×D4—21no—
507C8×D4—21no—
508C8×D4—21no—
509C8×D4—21no—
510C8×D4—21no—
511C8×D4—21no—
512C8×D4—21no—
513C8×D4C2311yescharacteristic
514C8×D4C2311yescharacteristic
515C8×D4C2311yescharacteristic
516C8×D4C2311yescharacteristic
517C8×D4C2311yescharacteristic
518C8×D4C2311yescharacteristic
519C8×D4C2311yescharacteristic
520C8×D4C2311yescharacteristic
521#433—21no—
522#433—21no—
523#433—21no—
524#433—21no—
525#432—21no—
526#432C2311yescharacteristic
527#432C2311yescharacteristic
528#432C2311yescharacteristic
529#432C2311yescharacteristic
530#432C2311yescharacteristic
531#432C2311yescharacteristic
532#431—21no—
533#431C2311yescharacteristic
534#431C2311yescharacteristic
535#431C2311yescharacteristic
536#431C2311yescharacteristic
537#431C2311yescharacteristic
538#431C2311yescharacteristic
539#428—21no—
540#428—21no—
541#428—21no—
542#428—21no—
543C2×#107—21no—
544C2×#107—21no—
545#424—21no—
546#424—21no—
547#423C2311yescharacteristic
548#423C2311yescharacteristic
549#423C2311yescharacteristic
550C2×C4⋊C8—21no—
551C2×C4⋊C8C2311yescharacteristic
552C2×C4⋊C8C2311yescharacteristic
553C2×C4⋊C8C2311yescharacteristic
554C2×C4⋊C8C2311yescharacteristic
555C2×C4⋊C8C2311yescharacteristic
556C2×C4⋊C8C2311yescharacteristic
557#419—21no—
558#417—21no—
559#416—21no—
560C2×#103—21no—
561C2×#103—21no—
562C2×#103—21no—
563#408—21no—
564#408—21no—
565#408—21no—
566#407—21no—
567#407—21no—
568C2×C22⋊C8—21no—
569C2×C22⋊C8—21no—
570C2×C22⋊C8—21no—
571C2×C22⋊C8—21no—
572#405—21no—
573#405—21no—
574C4×M16C2311yescharacteristic
575C4×M16C2311yescharacteristic
576C2×#97—21no—
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#335C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#334C2311yescharacteristic
592#334C2311yescharacteristic
593#334C2311yescharacteristic
594#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#332C2311yescharacteristic
615#332C2311yescharacteristic
616#332C2311yescharacteristic
617#332C2311yescharacteristic
618#332C2311yescharacteristic
619#332C2311yescharacteristic
620#332C2311yescharacteristic
621#332C2311yescharacteristic
622#331C2311yescharacteristic
623#331C2311yescharacteristic
624#331C2311yescharacteristic
625#331C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41C2×D411yescharacteristic
631C2×#41#4111yescharacteristic
632C22×Q8—21no—
633C22×Q8—21no—
634C22×Q8—21no—
635C22×Q8—21no—
636C22×D4—21no—
637C22×D4C2×D411yescharacteristic
638C22×D4C2×D411yescharacteristic
639C23×C4—21no—
640C23×C4—21no—
641#137—82no—
642AGL(1,ℤ/8)—82no—
643#135—82no—
644C2×Q16—21no—
645C2×Q16—21no—
646C2×Q16—21no—
647C2×Q16—21no—
648C2×Q16—21no—
649C2×SD16—21no—
650C2×SD16—21no—
651C2×SD16—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—21no—
667C2×SD16—82no—
668C2×SD16—82no—
669C2×SD16—82no—
670C2×D8—21no—
671C2×D8—21no—
672C2×D8—21no—
673#131—82no—
674C2×M16—21no—
675C2×M16—21no—
676C2×M16—21no—
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—82no—
682C2×M16C2×D411yescharacteristic
683C2×M16C2×D411yescharacteristic
684C2×M16C2×D411yescharacteristic
685C2×M16C2×D411yescharacteristic
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C22×C8—21no—
690C22×C8—21no—
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×C8—82no—
701C22×C8C2×D411yescharacteristic
702C22×C8C2×D411yescharacteristic
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—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—41no—
716C4⋊Q8—41no—
717C4⋊Q8—41no—
718C4⋊Q8C2×D411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720C4⋊Q8C2411yescharacteristic
721C4⋊Q8C2411yescharacteristic
722C4⋊Q8C2411yescharacteristic
723C4⋊Q8C2411yescharacteristic
724C4⋊Q8C2411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726#127C2×D411yescharacteristic
727#127C2411yescharacteristic
728#126—21no—
729#126—21no—
730#126—21no—
731#126—21no—
732#126—41no—
733#126—41no—
734#125—21no—
735#125—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—41no—
741#125—41no—
742#125—41no—
743#125C2×D411yescharacteristic
744#125C2×D411yescharacteristic
745#124—21no—
746#124—21no—
747#124—21no—
748#124—21no—
749#124—21no—
750#124—41no—
751#124—41no—
752#124C2×D411yescharacteristic
753#124C2×D411yescharacteristic
754#123—21no—
755#123—21no—
756#123—21no—
757#123—21no—
758#123—21no—
759#123—21no—
760#123—21no—
761#123—21no—
762#123—41no—
763#123—41no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
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—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8C2×D411yescharacteristic
789C22⋊Q8C2×D411yescharacteristic
790#121—21no—
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—41no—
803#121—41no—
804#121—41no—
805#121C2×D411yescharacteristic
806#121C2×D411yescharacteristic
807#121C2×D411yescharacteristic
808#121C2×D411yescharacteristic
809#120—21no—
810#120—21no—
811#120—21no—
812#120—21no—
813C4×Q8—21no—
814C4×Q8—21no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—41no—
824C4×Q8C2×D411yescharacteristic
825C4×Q8C2×D411yescharacteristic
826C4×Q8C2×D411yescharacteristic
827C4×Q8C2411yescharacteristic
828C4×D4—21no—
829C4×D4—21no—
830C4×D4—21no—
831C4×D4—21no—
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4C2×D411yescharacteristic
853C4×D4C2×D411yescharacteristic
854C4×D4C2×D411yescharacteristic
855C4×D4C2×D411yescharacteristic
856C4×D4C2×D411yescharacteristic
857C4×D4C2×D411yescharacteristic
858C4×D4C2×D411yescharacteristic
859C4×D4C2×D411yescharacteristic
860C4×D4C2×D411yescharacteristic
861C4×D4C2×D411yescharacteristic
862C4×D4C2×D411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865C4×D4C2411yescharacteristic
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—21no—
872#117—21no—
873#117—21no—
874#117—41no—
875#117C2×D411yescharacteristic
876#117#4111yescharacteristic
877#117#4111yescharacteristic
878#117#4111yescharacteristic
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—41no—
889C2×C4⋊C4C2×D411yescharacteristic
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C22⋊C4—21no—
892C2×C22⋊C4—21no—
893C2×C22⋊C4—21no—
894C2×C22⋊C4—21no—
895C2×C42—21no—
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
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#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—
923#106—21no—
924#106—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⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8C2×D411yescharacteristic
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
955C4⋊C8C2411yescharacteristic
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000C22⋊C8—21no—
1001C22⋊C8—21no—
1002C22⋊C8—21no—
1003C22⋊C8—21no—
1004C22⋊C8—21no—
1005C22⋊C8—21no—
1006C22⋊C8—21no—
1007C22⋊C8—21no—
1008C22⋊C8—21no—
1009C22⋊C8—21no—
1010C22⋊C8—21no—
1011C22⋊C8—21no—
1012C22⋊C8—21no—
1013C22⋊C8—21no—
1014C22⋊C8—21no—
1015C22⋊C8—21no—
1016C22⋊C8—21no—
1017C22⋊C8—21no—
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8C2×D411yescharacteristic
1022C22⋊C8C2×D411yescharacteristic
1023C22⋊C8C2×D411yescharacteristic
1024C22⋊C8C2×D411yescharacteristic
1025C22⋊C8C2×D411yescharacteristic
1026C22⋊C8C2×D411yescharacteristic
1027#97—21no—
1028#97—21no—
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97C2×D411yescharacteristic
1036#97C2×D411yescharacteristic
1037#97C2×D411yescharacteristic
1038#97C2×D411yescharacteristic
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C24—21no—
1051C24—21no—
1052#41—22no—
1053#41—42no—
1054#41—41no—
1055#41—81no—
1056#41—81no—
1057#41—82no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—21no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—41no—
1071C2×Q8—41no—
1072C2×Q8—41no—
1073C2×Q8—41no—
1074C2×Q8—81no—
1075C2×Q8—81no—
1076C2×Q8—81no—
1077C2×Q8—81no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—81no—
1081C2×Q8—81no—
1082C2×Q8#12111yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×D4—22no—
1085C2×D4—22no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—82no—
1104C2×D4#12111yescharacteristic
1105C2×D4#12111yescharacteristic
1106C2×D4#12111yescharacteristic
1107C2×D4C22×D411yescharacteristic
1108C2×D4C22×D411yescharacteristic
1109C2×D4C22×D411yescharacteristic
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D411yescharacteristic
1134C22×C4C22×D411yescharacteristic
1135C22×C4C22×D411yescharacteristic
1136C22×C4C22×D411yescharacteristic
1137C22×C4C22×D411yescharacteristic
1138C22×C4C2×#4111yescharacteristic
1139C22×C4C2×#4111yescharacteristic
1140C22×C4C2×#4111yescharacteristic
1141Q16—81no—
1142Q16—81no—
1143Q16—81no—
1144Q16—81no—
1145Q16—81no—
1146SD16—42no—
1147SD16—42no—
1148SD16—42no—
1149SD16—42no—
1150SD16—42no—
1151SD16—42no—
1152SD16—42no—
1153SD16—81no—
1154SD16—81no—
1155SD16—81no—
1156SD16—81no—
1157SD16—81no—
1158SD16—81no—
1159SD16—81no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164D8—42no—
1165D8—81no—
1166D8—81no—
1167M16—22no—
1168M16—22no—
1169M16—41no—
1170M16—41no—
1171M16—42no—
1172M16—81no—
1173M16—81no—
1174M16—81no—
1175M16—81no—
1176M16—81no—
1177M16—81no—
1178C2×C8—22no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—41no—
1192C2×C8—42no—
1193C2×C8—42no—
1194C2×C8—81no—
1195C2×C8—81no—
1196C2×C8—81no—
1197C2×C8—81no—
1198C2×C8—81no—
1199C2×C8—81no—
1200C2×C8—81no—
1201C2×C8—81no—
1202C2×C8—81no—
1203C2×C8—81no—
1204C2×C8—81no—
1205C2×C8—81no—
1206C2×C8C22×D411yescharacteristic
1207C2×C8C22×D411yescharacteristic
1208C2×C8C22×D411yescharacteristic
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
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—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
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#12111yescharacteristic
1298C22⋊C4#12111yescharacteristic
1299C22⋊C4#12111yescharacteristic
1300C22⋊C4#12111yescharacteristic
1301C22⋊C4#12111yescharacteristic
1302C22⋊C4#12111yescharacteristic
1303C42—21no—
1304C42—21no—
1305C42—21no—
1306C42—41no—
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—42no—
1325C23—42no—
1326C23—42no—
1327C23—41no—
1328C23—81no—
1329C23—81no—
1330C23—81no—
1331C23C2×#12111yescharacteristic
1332C23C2×#12111yescharacteristic
1333C23C2×#12111yescharacteristic
1334Q8—21no—
1335Q8—21no—
1336Q8—41no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—41no—
1345Q8—41no—
1346Q8—41no—
1347Q8—41no—
1348Q8—41no—
1349Q8—81no—
1350Q8—81no—
1351Q8—161no—
1352Q8—161no—
1353Q8—161no—
1354Q8—161no—
1355D4—22no—
1356D4—22no—
1357D4—21no—
1358D4—21no—
1359D4—21no—
1360D4—21no—
1361D4—21no—
1362D4—41no—
1363D4—42no—
1364D4—42no—
1365D4—42no—
1366D4—42no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—81no—
1372D4—81no—
1373D4—81no—
1374D4—81no—
1375D4—81no—
1376D4—81no—
1377D4—82no—
1378D4—161no—
1379D4—161no—
1380D4#57612yes—
1381C2×C4—22no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
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—41no—
1400C2×C4—41no—
1401C2×C4—42no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—81no—
1416C2×C4—81no—
1417C2×C4—81no—
1418C2×C4—81no—
1419C2×C4—81no—
1420C2×C4—82no—
1421C2×C4—81no—
1422C2×C4—81no—
1423C2×C4—161no—
1424C2×C4—161no—
1425C2×C4—161no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4—161no—
1429C2×C4C2×#12111yescharacteristic
1430C2×C4C2×#12111yescharacteristic
1431C2×C4C2×#12111yescharacteristic
1432C2×C4C2×#12111yescharacteristic
1433C2×C4C2×#12111yescharacteristic
1434C2×C4C2×#12111yescharacteristic
1435C2×C4C2×#12111yescharacteristic
1436C2×C4C2×#12111yescharacteristic
1437C2×C4C2×#12111yescharacteristic
1438C2×C4C23×D411yescharacteristic
1439C2×C4C23×D411yescharacteristic
1440C2×C4C22×#4111yescharacteristic
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C8#57712yes—
1461C22—21no—
1462C22—21no—
1463C22—21no—
1464C22—21no—
1465C22—21no—
1466C22—21no—
1467C22—22no—
1468C22—21no—
1469C22—21no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—84no—
1479C22—81no—
1480C22—81no—
1481C22—81no—
1482C22—162no—
1483C22#306912yes—
1484C22C22×#12111yescharacteristic
1485C4—21no—
1486C4—21no—
1487C4—21no—
1488C4—21no—
1489C4—21no—
1490C4—21no—
1491C4—21no—
1492C4—21no—
1493C4—21no—
1494C4—21no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4—81no—
1505C4—81no—
1506C4—81no—
1507C4C2×#57611yescharacteristic
1508C4C2×#57711yescharacteristic
1509C4#358411yescharacteristic
1510C4#358611yescharacteristic
1511C2—22no—
1512C2—41no—
1513C2—41no—
1514C2—42no—
1515C2—81no—
1516C2—81no—
1517C2—161no—
1518C2#6042911yescharacteristic
1519C2#6045811yescharacteristic
1520C2C2×#306911yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
prime radical#61978C2
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. #62480C2semidirect
2. #61980C2semidirect
4. #60311C2semidirect
5. #19590C2semidirect
6. #19589C2semidirect
7. #19550C2semidirect
8. #19546C2semidirect
9. #19518C2semidirect
10. #19514C2semidirect
11. #19464C2semidirect
12. #19462C2semidirect
13. #19418C2semidirect
14. #19416C2semidirect
15. #19395C2semidirect
16. #19392C2semidirect
17. #19378C2semidirect
18. #19368C2semidirect
19. #19358C2semidirect
20. #19314C2semidirect
21. #19304C2semidirect
22. #19257C2semidirect
23. #19246C2semidirect
24. #19232C2semidirect
25. #19229C2semidirect
26. #19178C2semidirect
27. #19164C2semidirect
28. C2×#1673C2semidirect
29. #17840C2semidirect
30. #17775C2semidirect
31. #17774C2semidirect
65. #3231C22semidirect
66. #3231C22semidirect
67. #3230C22semidirect
68. #3227C22semidirect
69. #3226C22semidirect
70. #3226C22semidirect
77. #3182C22semidirect
78. #3182C22semidirect
79. #3167C22semidirect
80. #3165C22semidirect
81. #3165C22semidirect
82. C2×#500C22semidirect
119. #1702C22semidirect
120. #1701C22semidirect
121. #1701C22semidirect
122. #1701C22semidirect
123. #1700C22semidirect
124. #1699C22semidirect
125. #1699C22semidirect
126. #1699C22semidirect
127. #1694C22semidirect
128. #1694C22semidirect
129. #1694C22semidirect
130. #1693C22semidirect
131. #1693C22semidirect
132. #1693C22semidirect
133. #1693C22semidirect
134. #1693C22semidirect
135. #1692C22semidirect
136. #1692C22semidirect
137. #1691C22semidirect
138. #1691C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1686C22semidirect
142. #1685C22semidirect
143. #1684C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1682C22semidirect
148. #1682C22semidirect
152. #1681C22semidirect
153. #1681C22semidirect
154. #1681C22semidirect
155. #1680C22semidirect
158. #1679C22semidirect
159. #1674C22semidirect
160. #1674C22semidirect
161. #1674C22semidirect
168. #1673C22semidirect
169. #1673C22semidirect
170. #1673C22semidirect
171. #1673C22semidirect
172. #1673C22semidirect
173. #1673C22semidirect
174. #1673C22semidirect
175. #1672C22semidirect
179. #1671C22semidirect
180. #1671C22semidirect
182. #1665C22semidirect
183. #1573C22semidirect
184. #1573C22semidirect
185. #1572C22semidirect
186. #1572C22semidirect
187. #1571C22semidirect
188. #1571C22semidirect
189. #1569C22semidirect
190. #1569C22semidirect
191. #1568C22semidirect
192. #1565C22semidirect
193. #1565C22semidirect
194. C2×#335C22semidirect
195. #1561C22semidirect
196. #1559C22semidirect
197. #1557C22semidirect
198. #1556C22semidirect
199. #1556C22semidirect
200. #1556C22semidirect
201. #1554C22semidirect
202. #1553C22semidirect
203. #1552C22semidirect
204. #1552C22semidirect
205. #1552C22semidirect
206. #1552C22semidirect
207. #1551C22semidirect
208. #1551C22semidirect
209. #1550C22semidirect
210. #1549C22semidirect
211. #1547C22semidirect
212. #1546C22semidirect
213. #1544C22semidirect
214. #1542C22semidirect
215. #1540C22semidirect
216. C2×#332C22semidirect
217. C2×#332C22semidirect
218. C2×#332C22semidirect

Maximal subgroups

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

subgroupindex
#624802
#619802
#619782
#603112
#195902
#195892
#195502
#195462
#195182
#195142
#194642
#194622
#194182
#194162
#193952
#193922
#193782
#193682
#193582
#193142
#193042
#192572
#192462
#192322
#192292
#191782
#191642
C2×#16732
#178402
#177752
#177742