Finite Group Databasebeta

← #6355928

Subgroups — #6355928

Order 512.

1567 conjugacy classes of subgroups.

The subgroup lattice has 1530 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62110C211yesmaximal, characteristic
2#62109C211yesmaximal, characteristic, complemented
3#61008C211yesmaximal, characteristic, complemented
4#60241C211yesmaximal, characteristic, complemented
5#19562C211yesmaximal, characteristic, complemented
6#19559C211yesmaximal, characteristic, complemented
7#19556C211yesmaximal, characteristic, complemented
8#19553C211yesmaximal, characteristic, complemented
9#19516C211yesmaximal, characteristic, complemented
10#19515C211yesmaximal, characteristic, complemented
11#19508C211yesmaximal, characteristic, complemented
12#19507C211yesmaximal, characteristic, complemented
13#19466C211yesmaximal, characteristic, complemented
14#19463C211yesmaximal, characteristic, complemented
15#19460C211yesmaximal, characteristic, complemented
16#19457C211yesmaximal, characteristic, complemented
17#19430C211yesmaximal, characteristic, complemented
18#19429C211yesmaximal, characteristic, complemented
19#19424C211yesmaximal, characteristic, complemented
20#19423C211yesmaximal, characteristic, complemented
21#19371C211yesmaximal, characteristic, complemented
22#19369C211yesmaximal, characteristic, complemented
23#19336C211yesmaximal, characteristic, complemented
24#19331C211yesmaximal, characteristic, complemented
25#19307C211yesmaximal, characteristic, complemented
26#19305C211yesmaximal, characteristic, complemented
27#19282C211yesmaximal, characteristic, complemented
28#19281C211yesmaximal, characteristic, complemented
29#17824C211yesmaximal, characteristic, complemented
30#17768C211yesmaximal, characteristic, complemented
31#17767C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3509C2211yescharacteristic
34D4×#41C2211yescharacteristic
35#3386—21no—
36#3384—21no—
37#3368—21no—
38#3366—21no—
39#3354—21no—
40#3353—21no—
41#3345—21no—
42#3345—21no—
43#3343—21no—
44#3343—21no—
45#3325—21no—
46#3324—21no—
47#3318—21no—
48#3318—21no—
49#3310—21no—
50#3310—21no—
51#3258—21no—
52#3258—21no—
53#3254C2211yescharacteristic
54#3254C2211yescharacteristic
55#3253C2211yescharacteristic
56#3253C2211yescharacteristic
57#3246C2211yescharacteristic
58#3245C2211yescharacteristic
59#3235C2211yescharacteristic
60#3235C2211yescharacteristic
61#3235C2211yescharacteristic
62#3235C2211yescharacteristic
63#3231C2211yescharacteristic, complemented
64#3230C2211yescharacteristic, complemented
65#3229C2211yescharacteristic, complemented
66#3228C2211yescharacteristic, complemented
67#3227C2211yescharacteristic
68#3226C2211yescharacteristic
69#3210C2211yescharacteristic, complemented
70#3210C2211yescharacteristic, complemented
71#3209C2211yescharacteristic, complemented
72#3206C2211yescharacteristic, complemented
73#3201—21no—
74#3201—21no—
75#3185C2211yescharacteristic, complemented
76#3182C2211yescharacteristic, complemented
77#3170C2211yescharacteristic, complemented
78#3167C2211yescharacteristic, complemented
79#3121—21no—
80#3121—21no—
81#3120—21no—
82#3120—21no—
83#3110C2211yescharacteristic
84#3110C2211yescharacteristic
85#3109C2211yescharacteristic
86#3109C2211yescharacteristic
87#3101C2211yescharacteristic
88#3100C2211yescharacteristic
89#3077C2211yescharacteristic
90#3077C2211yescharacteristic
91#3077C2211yescharacteristic
92#3077C2211yescharacteristic
93C2×#476C2211yescharacteristic
94C2×#474C2211yescharacteristic
95#2989C2211yescharacteristic
96#2989C2211yescharacteristic
97#2981C2211yescharacteristic
98#2981C2211yescharacteristic
99#2979C2211yescharacteristic
100#2979C2211yescharacteristic
101#2978—21no—
102#2978—21no—
103#2976—21no—
104#2976—21no—
105#2975C2211yescharacteristic
106#2975C2211yescharacteristic
107#2974C2211yescharacteristic
108#2974C2211yescharacteristic
109#2935C2211yescharacteristic
110D4×M16C2211yescharacteristic
111#2933—21no—
112#2931C2211yescharacteristic
113#2930—21no—
114C2×#436C2211yescharacteristic
115#2925C2211yescharacteristic
116#2922C2211yescharacteristic
117#2880—21no—
118#2879—21no—
119#1703C2211yescharacteristic
120#1703C2211yescharacteristic
121#1703C2211yescharacteristic
122#1703C2211yescharacteristic
123#1703C2211yescharacteristic
124#1703C2211yescharacteristic, complemented
125#1703C2211yescharacteristic, complemented
126#1703C2211yescharacteristic, complemented
127#1703C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1701C2211yescharacteristic
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1701C2211yescharacteristic, complemented
135#1699C2211yescharacteristic
136#1699C2211yescharacteristic, complemented
137#1697C2211yescharacteristic
138#1697C2211yescharacteristic, complemented
139#1695C2211yescharacteristic
140#1695C2211yescharacteristic
141#1695C2211yescharacteristic, complemented
142#1695C2211yescharacteristic, complemented
143#1695C2211yescharacteristic, complemented
144#1695C2211yescharacteristic, complemented
145#1691C2211yescharacteristic
146#1691C2211yescharacteristic
147#1691C2211yescharacteristic, complemented
148#1691C2211yescharacteristic, complemented
149#1689C2211yescharacteristic
150#1689C2211yescharacteristic
151#1689C2211yescharacteristic, complemented
152#1689C2211yescharacteristic, complemented
153#1689C2211yescharacteristic, complemented
154#1689C2211yescharacteristic, complemented
155#1685C2211yescharacteristic
156#1685C2211yescharacteristic
157#1685C2211yescharacteristic, complemented
158#1685C2211yescharacteristic, complemented
159#1683C2211yescharacteristic, complemented
160#1683C2211yescharacteristic, complemented
161#1683C2211yescharacteristic, complemented
162#1683C2211yescharacteristic, complemented
163#1683C2211yescharacteristic, complemented
164#1683C2211yescharacteristic, complemented
165#1683C2211yescharacteristic, complemented
166#1683C2211yescharacteristic, complemented
167#1679C2211yescharacteristic, complemented
168#1679C2211yescharacteristic, complemented
169#1677C2211yescharacteristic, complemented
170#1677C2211yescharacteristic, complemented
171#1675C2211yescharacteristic, complemented
172#1675C2211yescharacteristic, complemented
173#1671C2211yescharacteristic, complemented
174#1671C2211yescharacteristic, complemented
175#1671C2211yescharacteristic, complemented
176#1671C2211yescharacteristic, complemented
177#1669C2211yescharacteristic, complemented
178#1669C2211yescharacteristic, complemented
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#1570C2211yescharacteristic, complemented
190#1570C2211yescharacteristic, complemented
191#1569C2211yescharacteristic, complemented
192#1569C2211yescharacteristic, complemented
193#1568C2211yescharacteristic, complemented
194#1566C2211yescharacteristic, complemented
195#1561C2211yescharacteristic, complemented
196#1560C2211yescharacteristic, complemented
197#1559C2211yescharacteristic, complemented
198#1559C2211yescharacteristic, complemented
199#1559C2211yescharacteristic, complemented
200#1558C2211yescharacteristic, complemented
201#1557C2211yescharacteristic, complemented
202#1556C2211yescharacteristic, complemented
203#1554C2211yescharacteristic, complemented
204#1554C2211yescharacteristic, complemented
205#1554C2211yescharacteristic, complemented
206#1553C2211yescharacteristic, complemented
207#1552C2211yescharacteristic, complemented
208#1552C2211yescharacteristic, complemented
209#1551C2211yescharacteristic, complemented
210#1551C2211yescharacteristic, complemented
211#1550C2211yescharacteristic, complemented
212#1550C2211yescharacteristic, complemented
213#1549C2211yescharacteristic, complemented
214#1548C2211yescharacteristic, complemented
215#1544C2211yescharacteristic, complemented
216#1543C2211yescharacteristic, complemented
217#1542C2211yescharacteristic, complemented
218#1542C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#131—21no—
221C2×#131—21no—
222C22×M16—21no—
223C22×M16—21no—
224#557—21no—
225#557—21no—
226#556—21no—
227#556—21no—
228#556—21no—
229#555—21no—
230#554—21no—
231#553—21no—
232#553—21no—
233#552—21no—
234#552—21no—
235#552—21no—
236#552—21no—
237#550D411yescharacteristic
238D4×Q8D411yescharacteristic
239#548—21no—
240#548—21no—
241#548—21no—
242#547—21no—
243#547D411yescharacteristic
244#547D411yescharacteristic
245#547D411yescharacteristic
246#546—21no—
247#546—21no—
248#546—21no—
249D42D411yescharacteristic
250D42D411yescharacteristic
251D42D411yescharacteristic
252#542—21no—
253#542—21no—
254#541—21no—
255#541—21no—
256#537—21no—
257#536—21no—
258#533C2311yescharacteristic
259#533C2311yescharacteristic
260#533C2311yescharacteristic
261#533C2311yescharacteristic
262#533C2311yescharacteristic
263#533C2311yescharacteristic
264#533C2311yescharacteristic
265#532C2311yescharacteristic
266#532C2311yescharacteristic
267#532C2311yescharacteristic
268#532C2311yescharacteristic
269#532C2311yescharacteristic
270#532C2311yescharacteristic
271C2×C4⋊Q8C2311yescharacteristic
272C2×C4⋊Q8C2311yescharacteristic
273#525—21no—
274#525—21no—
275#525—21no—
276#520—21no—
277#519—21no—
278C4×#41C2311yescharacteristic
279C2×C4×D4C2311yescharacteristic
280C2×C4×D4C2311yescharacteristic
281C2×C4×D4C2311yescharacteristic
282#501—21no—
283#501—21no—
284#501—21no—
285#501—21no—
286#500—21no—
287#500C2311yescharacteristic
288#500C2311yescharacteristic
289#498—21no—
290#498C2311yescharacteristic
291#498C2311yescharacteristic
292#494C2311yescharacteristic
293#494C2311yescharacteristic
294#492C2311yescharacteristic
295#492C2311yescharacteristic
296#490—21no—
297#490—21no—
298#490—21no—
299#490—21no—
300#487C2311yescharacteristic
301#487C2311yescharacteristic
302#487C2311yescharacteristic
303#487C2311yescharacteristic
304#487C2311yescharacteristic
305#487C2311yescharacteristic
306#486—21no—
307#486—21no—
308#486C2311yescharacteristic
309#486C2311yescharacteristic
310#485—21no—
311#485—21no—
312#484—21no—
313#484—21no—
314#484—21no—
315#484—21no—
316#483—21no—
317#483—21no—
318#483—21no—
319#482—21no—
320#482—21no—
321#482—21no—
322#482—21no—
323#482—21no—
324#482—21no—
325#482—21no—
326#482—21no—
327#482—21no—
328#482—21no—
329#481—21no—
330#481—21no—
331#481—21no—
332#481—21no—
333#480—21no—
334#480—21no—
335#480—21no—
336#479—21no—
337#479—21no—
338#478—21no—
339#478—21no—
340#478—21no—
341#478—21no—
342#478—21no—
343#478—21no—
344#478—21no—
345#478—21no—
346#478—21no—
347#478—21no—
348#477—21no—
349#477—21no—
350#477—21no—
351#477—21no—
352#476—21no—
353#476—21no—
354#476—21no—
355#476—21no—
356#476C2311yescharacteristic
357#476C2311yescharacteristic
358#476C2311yescharacteristic
359#476C2311yescharacteristic
360#476C2311yescharacteristic
361#476C2311yescharacteristic
362#476C2311yescharacteristic
363#476C2311yescharacteristic
364#476C2311yescharacteristic
365#476C2311yescharacteristic
366#476C2311yescharacteristic
367#476C2311yescharacteristic
368#475—21no—
369#475—21no—
370#475—21no—
371#474—21no—
372#474—21no—
373#474—21no—
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#474C2311yescharacteristic
377#474C2311yescharacteristic
378#474C2311yescharacteristic
379#474C2311yescharacteristic
380#474C2311yescharacteristic
381#474C2311yescharacteristic
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#470—21no—
387#470—21no—
388#469—21no—
389#469—21no—
390#469—21no—
391#469—21no—
392#468—21no—
393#468—21no—
394#468—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#467—21no—
399#467—21no—
400#466—21no—
401#466—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#464—21no—
407#464—21no—
408#464—21no—
409#464—21no—
410#462—21no—
411#462—21no—
412#461—21no—
413#461—21no—
414#461C2311yescharacteristic
415#461C2311yescharacteristic
416#461C2311yescharacteristic
417#461C2311yescharacteristic
418#460—21no—
419#460—21no—
420#460—21no—
421#459—21no—
422#459—21no—
423#459—21no—
424#459C2311yescharacteristic
425#459C2311yescharacteristic
426#459C2311yescharacteristic
427#459C2311yescharacteristic
428#452—21no—
429#452—21no—
430#452—21no—
431#452—21no—
432#451—21no—
433#451—21no—
434#450—21no—
435#450—21no—
436#450—21no—
437#448—21no—
438#448—21no—
439#447—21no—
440#447—21no—
441#447—21no—
442#446—21no—
443#446—21no—
444#442—21no—
445#442—21no—
446#442—21no—
447#442—21no—
448#441—21no—
449#441—21no—
450#440—21no—
451#440—21no—
452#440—21no—
453#440—21no—
454#440—21no—
455#440—21no—
456C4×Q16—21no—
457C4×Q16—21no—
458C4×SD16—21no—
459C4×SD16—21no—
460C4×SD16—21no—
461C4×SD16—21no—
462C4×D8—21no—
463C4×D8—21no—
464#436—21no—
465#436—21no—
466#436—21no—
467#436—21no—
468#436—21no—
469#436—21no—
470#436—21no—
471#436—21no—
472#436—21no—
473#436—21no—
474#436—21no—
475#436C2311yescharacteristic
476#436C2311yescharacteristic
477#436C2311yescharacteristic
478#436C2311yescharacteristic
479#436C2311yescharacteristic
480#436C2311yescharacteristic
481#436C2311yescharacteristic
482#436C2311yescharacteristic
483#436C2311yescharacteristic
484#436C2311yescharacteristic
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#435—21no—
499#435—21no—
500#435—21no—
501C8×D4—21no—
502C8×D4—21no—
503C8×D4—21no—
504C8×D4C2311yescharacteristic
505C8×D4C2311yescharacteristic
506C8×D4C2311yescharacteristic
507C8×D4C2311yescharacteristic
508C8×D4C2311yescharacteristic
509C8×D4C2311yescharacteristic
510#433—21no—
511#433—21no—
512#433D411yescharacteristic
513#433D411yescharacteristic
514#433D411yescharacteristic
515#433D411yescharacteristic
516#432C2311yescharacteristic
517#432C2311yescharacteristic
518#432C2311yescharacteristic
519#432C2311yescharacteristic
520#432C2311yescharacteristic
521#432C2311yescharacteristic
522#431C2311yescharacteristic
523#431C2311yescharacteristic
524#431C2311yescharacteristic
525#431C2311yescharacteristic
526#431C2311yescharacteristic
527#431C2311yescharacteristic
528#431C2311yescharacteristic
529#431C2311yescharacteristic
530#428—21no—
531#428—21no—
532#428—21no—
533#428—21no—
534C2×#107—21no—
535C2×#106—21no—
536#424D411yescharacteristic
537#424D411yescharacteristic
538#423C2311yescharacteristic
539#423C2311yescharacteristic
540#423C2311yescharacteristic
541#423C2311yescharacteristic
542#423C2311yescharacteristic
543C2×C4⋊C8C2311yescharacteristic
544C2×C4⋊C8C2311yescharacteristic
545C2×C4⋊C8C2311yescharacteristic
546#418—21no—
547#418—21no—
548#418—21no—
549#418—21no—
550C2×#102—21no—
551C2×#102—21no—
552#408—21no—
553#408—21no—
554#408—21no—
555#408—21no—
556#408—21no—
557#408—21no—
558#408—21no—
559#408—21no—
560#408—21no—
561#408—21no—
562#408—21no—
563#408D411yescharacteristic
564#408D411yescharacteristic
565#407—21no—
566#407—21no—
567#407—21no—
568#407—21no—
569#407—21no—
570#407—21no—
571#407—21no—
572C2×C22⋊C8—21no—
573C2×C22⋊C8—21no—
574C2×C22⋊C8—21no—
575#405—21no—
576C4×M16C2311yescharacteristic
577C2×C4×C8C2311yescharacteristic
578#335C2311yescharacteristic
579#335C2311yescharacteristic
580#335C2311yescharacteristic
581#335C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
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#333C2311yescharacteristic
603#333C2311yescharacteristic
604#333C2311yescharacteristic
605#333C2311yescharacteristic
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×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—82no—
637C2×#41—82no—
638C2×#41C2×D411yescharacteristic
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4C2×D411yescharacteristic
646C22×D4C2×D411yescharacteristic
647C22×D4C2×D411yescharacteristic
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—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×D8—21no—
664C2×D8—21no—
665C2×D8—21no—
666C2×D8—21no—
667#131—82no—
668#131—82no—
669C2×M16—21no—
670C2×M16—21no—
671C2×M16—21no—
672C2×M16—21no—
673C2×M16—21no—
674C2×M16—21no—
675C2×M16—21no—
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—82no—
685C2×M16—82no—
686C2×M16C2×D411yescharacteristic
687C2×M16C2×D411yescharacteristic
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×C8C2×D411yescharacteristic
698C22×C8C2×D411yescharacteristic
699C4⋊Q8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—21no—
705C4⋊Q8—41no—
706C4⋊Q8C2×D411yescharacteristic
707C4⋊Q8C2×D411yescharacteristic
708C4⋊Q8C2×D411yescharacteristic
709C4⋊Q8C2411yescharacteristic
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716#127C2×D411yescharacteristic
717#127C2×D411yescharacteristic
718#127C2×D411yescharacteristic
719#127C2411yescharacteristic
720#126—41no—
721#126—41no—
722#126—41no—
723#126—41no—
724#126—41no—
725#126—41no—
726#125—21no—
727#125—21no—
728#125—21no—
729#125—21no—
730#125—21no—
731#125—21no—
732#125—21no—
733#125—41no—
734#125—41no—
735#125—41no—
736#125—41no—
737#124—21no—
738#124—21no—
739#124—21no—
740#124—21no—
741#124—21no—
742#124—21no—
743#124—41no—
744#124—41no—
745#124—41no—
746#123—21no—
747#123—21no—
748#123—21no—
749#123—21no—
750#123—21no—
751#123—21no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756C22⋊Q8—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
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—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779#121—21no—
780#121—21no—
781#121—21no—
782#121—21no—
783#121—21no—
784#121—21no—
785#121—21no—
786#121—21no—
787#121—21no—
788#121—21no—
789#121—21no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—41no—
795#121—41no—
796#121—41no—
797#121C2×D411yescharacteristic
798#121C2×D411yescharacteristic
799#121C2×D411yescharacteristic
800#121C2×D411yescharacteristic
801#121C2×D411yescharacteristic
802#121C2×D411yescharacteristic
803#120—21no—
804#120—21no—
805#120—21no—
806#120—21no—
807#120—21no—
808#120—21no—
809C4×Q8—21no—
810C4×Q8—21no—
811C4×Q8—21no—
812C4×Q8—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×Q8—41no—
825C4×Q8C2×D411yescharacteristic
826C4×Q8#4111yescharacteristic
827C4×D4—21no—
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—41no—
843C4×D4—41no—
844C4×D4C2×D411yescharacteristic
845C4×D4C2×D411yescharacteristic
846C4×D4C2×D411yescharacteristic
847C4×D4C2×D411yescharacteristic
848C4×D4C2×D411yescharacteristic
849C4×D4C2×D411yescharacteristic
850C4×D4C2×D411yescharacteristic
851C4×D4C2×D411yescharacteristic
852C4×D4C2×D411yescharacteristic
853C4×D4#4111yescharacteristic
854C4×D4#4111yescharacteristic
855C4×D4#4111yescharacteristic
856C4×D4C2411yescharacteristic
857C4×D4C2411yescharacteristic
858C4×D4C2411yescharacteristic
859C4×D4C2411yescharacteristic
860#117—21no—
861#117—21no—
862#117—21no—
863#117—21no—
864#117—21no—
865#117—21no—
866#117—21no—
867#117—41no—
868#117—41no—
869#117—41no—
870#117C2×D411yescharacteristic
871#117C2×D411yescharacteristic
872#117C2×D411yescharacteristic
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—41no—
878C2×C4⋊C4C2×D411yescharacteristic
879C2×C4⋊C4C2×D411yescharacteristic
880C2×C4⋊C4C2×D411yescharacteristic
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C42C2411yescharacteristic
885C2×C42C2411yescharacteristic
886C2×C42C2411yescharacteristic
887#107—21no—
888#107—21no—
889#107—21no—
890#107—21no—
891#107—21no—
892#107—21no—
893#107—21no—
894#107—21no—
895#107—21no—
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
903#106—21no—
904#106—21no—
905#106—21no—
906#106—21no—
907#106—21no—
908#106—21no—
909#106—21no—
910#106—21no—
911#106—21no—
912#106—21no—
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919C4⋊C8—21no—
920C4⋊C8—21no—
921C4⋊C8—21no—
922C4⋊C8—21no—
923C4⋊C8—21no—
924C4⋊C8—21no—
925C4⋊C8—21no—
926C4⋊C8—21no—
927C4⋊C8C2×D411yescharacteristic
928C4⋊C8C2×D411yescharacteristic
929C4⋊C8C2×D411yescharacteristic
930C4⋊C8C2×D411yescharacteristic
931C4⋊C8C2×D411yescharacteristic
932C4⋊C8C2×D411yescharacteristic
933C4⋊C8C2×D411yescharacteristic
934C4⋊C8C2×D411yescharacteristic
935C4⋊C8C2411yescharacteristic
936C4⋊C8C2411yescharacteristic
937C4⋊C8C2411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947#103—21no—
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#102—21no—
964#102—21no—
965#102—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—
995C22⋊C8—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⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8C2×D411yescharacteristic
1022C22⋊C8C2×D411yescharacteristic
1023C22⋊C8C2×D411yescharacteristic
1024C22⋊C8C2×D411yescharacteristic
1025C22⋊C8C2×D411yescharacteristic
1026C22⋊C8C2×D411yescharacteristic
1027C22⋊C8C2×D411yescharacteristic
1028C22⋊C8C2×D411yescharacteristic
1029#97—21no—
1030#97—21no—
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97C2×D411yescharacteristic
1036#97C2×D411yescharacteristic
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8C2×D411yescharacteristic
1042C4×C8C2×D411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C24—21no—
1048C24—21no—
1049C24—21no—
1050#41—41no—
1051#41—41no—
1052#41—42no—
1053#41—42no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—82no—
1061#41—82no—
1062#41—82no—
1063#41—82no—
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—21no—
1075C2×Q8—21no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—81no—
1079C2×Q8—81no—
1080C2×Q8—82no—
1081C2×Q8—161no—
1082C2×Q8#12111yescharacteristic
1083C2×D4—21no—
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—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—82no—
1111C2×D4—82no—
1112C2×D4—82no—
1113C2×D4#12111yescharacteristic
1114C2×D4#12111yescharacteristic
1115C2×D4#12111yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C2×D4C22×D411yescharacteristic
1118C2×D4C22×D411yescharacteristic
1119C2×D4C22×D411yescharacteristic
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—42no—
1134C22×C4—42no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—81no—
1141C22×C4—81no—
1142C22×C4—81no—
1143C22×C4—81no—
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4C22×D411yescharacteristic
1149C22×C4C22×D411yescharacteristic
1150C22×C4C2×#4111yescharacteristic
1151C22×C4C2×#4111yescharacteristic
1152C22×C4C2×#4111yescharacteristic
1153Q16—81no—
1154Q16—81no—
1155Q16—81no—
1156Q16—81no—
1157SD16—42no—
1158SD16—81no—
1159SD16—81no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164SD16—81no—
1165D8—42no—
1166D8—81no—
1167D8—81no—
1168D8—81no—
1169M16—41no—
1170M16—41no—
1171M16—42no—
1172M16—81no—
1173M16—81no—
1174M16—81no—
1175M16—81no—
1176M16—81no—
1177M16—81no—
1178M16—81no—
1179M16—81no—
1180M16—81no—
1181M16—81no—
1182M16—81no—
1183M16—81no—
1184M16—81no—
1185M16—81no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
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—41no—
1199C2×C8—41no—
1200C2×C8—42no—
1201C2×C8—81no—
1202C2×C8—81no—
1203C2×C8—81no—
1204C2×C8—81no—
1205C2×C8—81no—
1206C2×C8—81no—
1207C2×C8—81no—
1208C2×C8—81no—
1209C2×C8C22×D411yescharacteristic
1210C2×C8C22×D411yescharacteristic
1211C2×C8C22×D411yescharacteristic
1212C2×C8C22×D411yescharacteristic
1213C2×C8C22×D411yescharacteristic
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
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—41no—
1238C4⋊C4—41no—
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#12111yescharacteristic
1256C4⋊C4#12111yescharacteristic
1257C4⋊C4#12111yescharacteristic
1258C4⋊C4#12111yescharacteristic
1259C4⋊C4#12111yescharacteristic
1260C4⋊C4#12111yescharacteristic
1261C4⋊C4C22×D411yescharacteristic
1262C4⋊C4C22×D411yescharacteristic
1263C4⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C22⋊C4—21no—
1266C22⋊C4—21no—
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—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
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#12111yescharacteristic
1295C22⋊C4#12111yescharacteristic
1296C22⋊C4#12111yescharacteristic
1297C22⋊C4#12111yescharacteristic
1298C22⋊C4#12111yescharacteristic
1299C22⋊C4#12111yescharacteristic
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42C22×D411yescharacteristic
1308C42C22×D411yescharacteristic
1309C42C22×D411yescharacteristic
1310C42C22×D411yescharacteristic
1311C42C22×D411yescharacteristic
1312C42C22×D411yescharacteristic
1313C42C2×#4111yescharacteristic
1314C42C2×#4111yescharacteristic
1315C42C2×#4111yescharacteristic
1316C42C2511yescharacteristic
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—42no—
1322C23—41no—
1323C23—81no—
1324C23—81no—
1325C23—81no—
1326C23—81no—
1327C23—81no—
1328C23—81no—
1329C23—81no—
1330C23—81no—
1331C23C2×#12111yescharacteristic
1332C23C2×#12111yescharacteristic
1333C23C2×#12111yescharacteristic
1334Q8—41no—
1335Q8—42no—
1336Q8—41no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—41no—
1344Q8—81no—
1345Q8—81no—
1346Q8—81no—
1347Q8—81no—
1348Q8—81no—
1349Q8—82no—
1350Q8—161no—
1351D4—21no—
1352D4—21no—
1353D4—21no—
1354D4—21no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—21no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—42no—
1363D4—42no—
1364D4—42no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—81no—
1370D4—81no—
1371D4—81no—
1372D4—81no—
1373D4—81no—
1374D4—81no—
1375D4—81no—
1376D4—81no—
1377D4—81no—
1378D4—81no—
1379D4—81no—
1380D4—81no—
1381D4—81no—
1382D4—82no—
1383D4—161no—
1384D4—161no—
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—21no—
1400C2×C4—21no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—42no—
1405C2×C4—42no—
1406C2×C4—42no—
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—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—41no—
1419C2×C4—41no—
1420C2×C4—41no—
1421C2×C4—41no—
1422C2×C4—81no—
1423C2×C4—81no—
1424C2×C4—81no—
1425C2×C4—81no—
1426C2×C4—82no—
1427C2×C4—81no—
1428C2×C4—81no—
1429C2×C4—82no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4C2×#12111yescharacteristic
1434C2×C4C2×#12111yescharacteristic
1435C2×C4C2×#12111yescharacteristic
1436C2×C4C2×#12111yescharacteristic
1437C2×C4C2×#12111yescharacteristic
1438C2×C4C2×#12111yescharacteristic
1439C2×C4C2×#12111yescharacteristic
1440C2×C4C2×#12111yescharacteristic
1441C2×C4C2×#12111yescharacteristic
1442C2×C4C23×D411yescharacteristic
1443C2×C4C23×D411yescharacteristic
1444C2×C4C22×#4111yescharacteristic
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—21no—
1449C8—21no—
1450C8—21no—
1451C8—21no—
1452C8—21no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C8—41no—
1458C8—41no—
1459C8—41no—
1460C8—41no—
1461C8—41no—
1462C8—41no—
1463C8—41no—
1464C8—41no—
1465C22—21no—
1466C22—21no—
1467C22—21no—
1468C22—21no—
1469C22—21no—
1470C22—21no—
1471C22—21no—
1472C22—21no—
1473C22—21no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—81no—
1487C22—81no—
1488C22—81no—
1489C22—162no—
1490C22—162no—
1491C22—162no—
1492C22C22×#12111yescharacteristic
1493C4—21no—
1494C4—21no—
1495C4—21no—
1496C4—21no—
1497C4—21no—
1498C4—21no—
1499C4—21no—
1500C4—21no—
1501C4—21no—
1502C4—21no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—81no—
1508C4—81no—
1509C4—81no—
1510C4—81no—
1511C4—81no—
1512C4—81no—
1513C4—81no—
1514C4#358511yescharacteristic
1515C4#358511yescharacteristic
1516C4#358611yescharacteristic
1517C4#358611yescharacteristic
1518C2—41no—
1519C2—41no—
1520C2—41no—
1521C2—81no—
1522C2—81no—
1523C2—81no—
1524C2—81no—
1525C2—161no—
1526C2#6042311yescharacteristic
1527C2#6046211yescharacteristic
1528C2#6047011yescharacteristic
subgroupG/H
center, socleC22C22×#121
commutator, Frattini, cosocleC42C25
prime radical#62110C2
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
2. #62109C2semidirect
3. #61008C2semidirect
4. #60241C2semidirect
5. #19562C2semidirect
6. #19559C2semidirect
7. #19556C2semidirect
8. #19553C2semidirect
9. #19516C2semidirect
10. #19515C2semidirect
11. #19508C2semidirect
12. #19507C2semidirect
13. #19466C2semidirect
14. #19463C2semidirect
15. #19460C2semidirect
16. #19457C2semidirect
17. #19430C2semidirect
18. #19429C2semidirect
19. #19424C2semidirect
20. #19423C2semidirect
21. #19371C2semidirect
22. #19369C2semidirect
23. #19336C2semidirect
24. #19331C2semidirect
25. #19307C2semidirect
26. #19305C2semidirect
27. #19282C2semidirect
28. #19281C2semidirect
29. #17824C2semidirect
30. #17768C2semidirect
31. #17767C2semidirect
63. #3231C22semidirect
64. #3230C22semidirect
65. #3229C22semidirect
66. #3228C22semidirect
69. #3210C22semidirect
70. #3210C22semidirect
71. #3209C22semidirect
72. #3206C22semidirect
75. #3185C22semidirect
76. #3182C22semidirect
77. #3170C22semidirect
78. #3167C22semidirect
124. #1703C22semidirect
125. #1703C22semidirect
126. #1703C22semidirect
127. #1703C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1701C22semidirect
136. #1699C22semidirect
138. #1697C22semidirect
141. #1695C22semidirect
142. #1695C22semidirect
143. #1695C22semidirect
144. #1695C22semidirect
147. #1691C22semidirect
148. #1691C22semidirect
151. #1689C22semidirect
152. #1689C22semidirect
153. #1689C22semidirect
154. #1689C22semidirect
157. #1685C22semidirect
158. #1685C22semidirect
159. #1683C22semidirect
160. #1683C22semidirect
161. #1683C22semidirect
162. #1683C22semidirect
163. #1683C22semidirect
164. #1683C22semidirect
165. #1683C22semidirect
166. #1683C22semidirect
167. #1679C22semidirect
168. #1679C22semidirect
169. #1677C22semidirect
170. #1677C22semidirect
171. #1675C22semidirect
172. #1675C22semidirect
173. #1671C22semidirect
174. #1671C22semidirect
175. #1671C22semidirect
176. #1671C22semidirect
177. #1669C22semidirect
178. #1669C22semidirect
179. #1665C22semidirect
180. #1665C22semidirect
181. #1665C22semidirect
182. #1665C22semidirect
183. #1574C22semidirect
184. #1574C22semidirect
185. #1573C22semidirect
186. #1573C22semidirect
187. #1572C22semidirect
188. #1572C22semidirect
189. #1570C22semidirect
190. #1570C22semidirect
191. #1569C22semidirect
192. #1569C22semidirect
193. #1568C22semidirect
194. #1566C22semidirect
195. #1561C22semidirect
196. #1560C22semidirect
197. #1559C22semidirect
198. #1559C22semidirect
199. #1559C22semidirect
200. #1558C22semidirect
201. #1557C22semidirect
202. #1556C22semidirect
203. #1554C22semidirect
204. #1554C22semidirect
205. #1554C22semidirect
206. #1553C22semidirect
207. #1552C22semidirect
208. #1552C22semidirect
209. #1551C22semidirect
210. #1551C22semidirect
211. #1550C22semidirect
212. #1550C22semidirect
213. #1549C22semidirect
214. #1548C22semidirect
215. #1544C22semidirect
216. #1543C22semidirect
217. #1542C22semidirect
218. #1542C22semidirect

Maximal subgroups

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

subgroupindex
#621102
#621092
#610082
#602412
#195622
#195592
#195562
#195532
#195162
#195152
#195082
#195072
#194662
#194632
#194602
#194572
#194302
#194292
#194242
#194232
#193712
#193692
#193362
#193312
#193072
#193052
#192822
#192812
#178242
#177682
#177672