Finite Group Databasebeta

← #6369293

Subgroups — #6369293

Order 512.

1636 conjugacy classes of subgroups.

The subgroup lattice has 1559 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61987C211yesmaximal, characteristic, complemented
2#61733C211yesmaximal, characteristic, complemented
3#61459C211yesmaximal, characteristic, complemented
4#61199C211yesmaximal, characteristic, complemented
5#20289C211yesmaximal, characteristic, complemented
6#20258C211yesmaximal, characteristic, complemented
7#20254C211yesmaximal, characteristic, complemented
8#20225C211yesmaximal, characteristic, complemented
9#20177C211yesmaximal, characteristic, complemented
10#20130C211yesmaximal, characteristic, complemented
11#20057C211yesmaximal, characteristic, complemented
12#20057C211yesmaximal, characteristic, complemented
13#20044C211yesmaximal, characteristic, complemented
14#19987C211yesmaximal, characteristic, complemented
15#19946C211yesmaximal, characteristic, complemented
16#19915C211yesmaximal, characteristic, complemented
17#19851C211yesmaximal, characteristic, complemented
18#19788C211yesmaximal, characteristic, complemented
19#19776C211yesmaximal, characteristic, complemented
20#19775C211yesmaximal, characteristic, complemented
21#19718C211yesmaximal, characteristic, complemented
22#19486C211yesmaximal, characteristic, complemented
23#19457C211yesmaximal, characteristic, complemented
24#19369C211yesmaximal, characteristic, complemented
25#19319C211yesmaximal, characteristic, complemented
26#18838C211yesmaximal, characteristic, complemented
27#18833C211yesmaximal, characteristic, complemented
28#18804C211yesmaximal, characteristic, complemented
29#18774C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3511C2211yescharacteristic
33#3496C2211yescharacteristic
34#3483C2211yescharacteristic, complemented
35#3475C2211yescharacteristic
36#3397C2211yescharacteristic, complemented
37#3397C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3385C2211yescharacteristic, complemented
40#3369C2211yescharacteristic, complemented
41#3369C2211yescharacteristic, complemented
42#3369C2211yescharacteristic, complemented
43#3366C2211yescharacteristic, complemented
44#3354C2211yescharacteristic
45#3353C2211yescharacteristic
46#3348—21no—
47#3345—21no—
48#3343—21no—
49#3341C2211yescharacteristic, complemented
50#3335C2211yescharacteristic
51#3334C2211yescharacteristic
52#3330C2211yescharacteristic
53#3330C2211yescharacteristic
54#3325C2211yescharacteristic
55#3324C2211yescharacteristic
56#3324C2211yescharacteristic
57#3324C2211yescharacteristic
58#3321—21no—
59#3321—21no—
60#3319—21no—
61#3319—21no—
62#3319—21no—
63#3318—21no—
64#3317—21no—
65#3314—21no—
66#3314—21no—
67#3310—21no—
68#3305C2211yescharacteristic, complemented
69#3303C2211yescharacteristic, complemented
70#3303C2211yescharacteristic, complemented
71#3303C2211yescharacteristic, complemented
72#3302C2211yescharacteristic
73#3302C2211yescharacteristic
74#3295C2211yescharacteristic
75#3294C2211yescharacteristic
76#3294C2211yescharacteristic
77#3294C2211yescharacteristic
78#3284C2211yescharacteristic, complemented
79#3284C2211yescharacteristic, complemented
80#3284C2211yescharacteristic, complemented
81#3271—21no—
82#3271—21no—
83#3268—21no—
84#3253C2211yescharacteristic
85#3246—21no—
86#3235C2211yescharacteristic
87#3229C2211yescharacteristic, complemented
88#3228C2211yescharacteristic
89#3214—21no—
90#3207C2211yescharacteristic
91#3206C2211yescharacteristic, complemented
92#3194—21no—
93#3188—21no—
94#3182C2211yescharacteristic, complemented
95#3180—21no—
96#3141C2211yescharacteristic
97#3116—21no—
98#3116C2211yescharacteristic, complemented
99#3115—21no—
100#3115C2211yescharacteristic
101#3111—21no—
102#3109C2211yescharacteristic
103#3106C2211yescharacteristic
104#3098—21no—
105#3094—21no—
106C2×#482—21no—
107C2×#474C2211yescharacteristic
108#3061—21no—
109#3039C2211yescharacteristic, complemented
110#3035—21no—
111#3035C2211yescharacteristic
112#3012—21no—
113#2990C2211yescharacteristic, complemented
114#2974C2211yescharacteristic
115#2970C2211yescharacteristic, complemented
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117#2943—21no—
118#2935C2211yescharacteristic
119#2897—21no—
120#1719C2211yescharacteristic, complemented
121#1718C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1715C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1702C2211yescharacteristic, complemented
133#1702C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1700C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1695C2211yescharacteristic, complemented
139#1694C2211yescharacteristic, complemented
140#1692C2211yescharacteristic, complemented
141#1685C2211yescharacteristic, complemented
142#1685C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1679C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1675C2211yescharacteristic, complemented
155#1673C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1652C2211yescharacteristic, complemented
165#1652C2211yescharacteristic, complemented
166#1652C2211yescharacteristic, complemented
167#1652C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1646C2211yescharacteristic, complemented
170#1646C2211yescharacteristic, complemented
171#1645C2211yescharacteristic, complemented
172#1644C2211yescharacteristic, complemented
173#1644C2211yescharacteristic, complemented
174#1642C2211yescharacteristic, complemented
175#1641C2211yescharacteristic, complemented
176#1638C2211yescharacteristic, complemented
177#1638C2211yescharacteristic, complemented
178#1635C2211yescharacteristic
179#1635C2211yescharacteristic
180#1635C2211yescharacteristic, complemented
181#1635C2211yescharacteristic, complemented
182#1629C2211yescharacteristic
183#1629C2211yescharacteristic
184#1625C2211yescharacteristic
185#1625C2211yescharacteristic
186#1624C2211yescharacteristic, complemented
187#1623C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1619C2211yescharacteristic
191#1619C2211yescharacteristic
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1586C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1557C2211yescharacteristic
211#1556C2211yescharacteristic, complemented
212#1551C2211yescharacteristic, complemented
213#1550C2211yescharacteristic, complemented
214#1496C2211yescharacteristic
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic
217#1477C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)D411yescharacteristic
222C2×#135—21no—
223C2×#135—21no—
224C2×#135—21no—
225C2×#135—21no—
226C2×#131—21no—
227Q82C2311yescharacteristic
228#556C2311yescharacteristic
229#556C2311yescharacteristic
230#556C2311yescharacteristic
231#555—21no—
232#555—21no—
233#555—21no—
234#555—41no—
235#555C2311yescharacteristic
236#555C2311yescharacteristic
237#554—21no—
238#554C2311yescharacteristic
239#553—21no—
240#553—41no—
241#552—21no—
242#552—21no—
243#551—41no—
244#550—21no—
245#550—21no—
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#548—21no—
249#548—21no—
250#547—21no—
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#546—21no—
257#546—21no—
258#546—21no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#542—41no—
264#537—21no—
265#537—21no—
266#534—41no—
267#533—21no—
268#533C2311yescharacteristic
269#532—21no—
270#532—21no—
271#532—21no—
272#532—41no—
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277#529—21no—
278#529—41no—
279#525—21no—
280C2×#121—21no—
281C2×#121—21no—
282#520—21no—
283C4×#41—21no—
284C4×#41—21no—
285C4×#41—21no—
286C4×#41C2311yescharacteristic
287C4×#41C2311yescharacteristic
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290#501—21no—
291#501—21no—
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#498C2311yescharacteristic
295#498C2311yescharacteristic
296#498C2311yescharacteristic
297#496—21no—
298#496—21no—
299#496—21no—
300#493C2311yescharacteristic
301#492C2311yescharacteristic
302#492C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#490—21no—
306#490—21no—
307#489—21no—
308#489—21no—
309#489—21no—
310#489—21no—
311#489—21no—
312#487C2311yescharacteristic
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#484—21no—
333#484—21no—
334#484—21no—
335#483—21no—
336#483—41no—
337#482—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#482—21no—
350#482—21no—
351#482D411yescharacteristic
352#482D411yescharacteristic
353#481—21no—
354#481—21no—
355#481—21no—
356#481—21no—
357#480—21no—
358#480—21no—
359#480—21no—
360#480—21no—
361#480—21no—
362#479—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#477D411yescharacteristic
367#477C2311yescharacteristic
368#476—21no—
369#476D411yescharacteristic
370#476C2311yescharacteristic
371#476C2311yescharacteristic
372#476C2311yescharacteristic
373#476C2311yescharacteristic
374#476C2311yescharacteristic
375#476C2311yescharacteristic
376#476C2311yescharacteristic
377#475—21no—
378#475—21no—
379#475—21no—
380#475—41no—
381#475C2311yescharacteristic
382#474—21no—
383#474—21no—
384#474—21no—
385#474C2311yescharacteristic
386#474C2311yescharacteristic
387#474C2311yescharacteristic
388#474C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#469—21no—
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#468—21no—
402#468—21no—
403#468—21no—
404#467—21no—
405#467—21no—
406#466—21no—
407#466—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#466—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#465—21no—
420#464—21no—
421#464—21no—
422#464—21no—
423#464—21no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#463—41no—
429#462—21no—
430#462C2311yescharacteristic
431#462C2311yescharacteristic
432#462C2311yescharacteristic
433#462C2311yescharacteristic
434#461—21no—
435#461—21no—
436#461—21no—
437#461C2311yescharacteristic
438#461C2311yescharacteristic
439#461C2311yescharacteristic
440#461C2311yescharacteristic
441#460—21no—
442#460—21no—
443#460—21no—
444#460D411yescharacteristic
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#459—21no—
448#459—21no—
449#459D411yescharacteristic
450#459C2311yescharacteristic
451#459C2311yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#459C2311yescharacteristic
456#452—21no—
457#452—21no—
458#452—21no—
459#452—21no—
460#452—21no—
461#452—21no—
462#450—21no—
463#450—21no—
464#450—21no—
465#450—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—41no—
477#449D411yescharacteristic
478#449D411yescharacteristic
479#448—21no—
480#448—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#446C2311yescharacteristic
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#442—21no—
491#442—21no—
492#442—21no—
493#442—21no—
494#442D411yescharacteristic
495#442D411yescharacteristic
496#441—21no—
497#441—21no—
498#441—21no—
499#441—21no—
500#440—21no—
501#440—21no—
502#440—21no—
503#440—21no—
504#440—21no—
505#440—21no—
506#440—21no—
507#440—21no—
508#440D411yescharacteristic
509#440D411yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×D8C2311yescharacteristic
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518#436C2311yescharacteristic
519#436C2311yescharacteristic
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#435—21no—
523#435—21no—
524#435—21no—
525#435—21no—
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530C8×D4C2311yescharacteristic
531C8×D4C2311yescharacteristic
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538#432—21no—
539#432—21no—
540#432C2311yescharacteristic
541#432C2311yescharacteristic
542#431C2311yescharacteristic
543#431C2311yescharacteristic
544#428—21no—
545#428—21no—
546#428D411yescharacteristic
547#427—21no—
548C2×#107—21no—
549C2×#107—21no—
550C2×#106—21no—
551#423C2311yescharacteristic
552C2×C4⋊C8—21no—
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#418—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418D411yescharacteristic
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417D411yescharacteristic
565#416—21no—
566#416—21no—
567#416—21no—
568#416—21no—
569#416—21no—
570#416—21no—
571#416—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#408—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580C4×M16C2311yescharacteristic
581C2×#97—21no—
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626H(5,𝔽2)—44no—
627H(5,𝔽2)—82no—
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—21no—
637C2×#41—21no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41C2×D411yescharacteristic
641C2×#41C2×D411yescharacteristic
642C22×Q8—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—41no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4C2×D411yescharacteristic
651C23×C4—21no—
652#137—82no—
653AGL(1,ℤ/8)—42no—
654#135—44no—
655#135—82no—
656#135—82no—
657#135—82no—
658C2×Q16—21no—
659C2×Q16—21no—
660C2×Q16—21no—
661C2×Q16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—41no—
675C2×SD16C2×D411yescharacteristic
676C2×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×D8—21no—
680C2×D8—21no—
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
685C2×D8—41no—
686C2×D8C2×D411yescharacteristic
687C2×D8C2×D411yescharacteristic
688C2×D8C2×D411yescharacteristic
689C2×D8C2×D411yescharacteristic
690#131—82no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C2×M16C2×D411yescharacteristic
697C2×M16C2×D411yescharacteristic
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8—21no—
702C22×C8—21no—
703C22×C8—21no—
704C22×C8—21no—
705C22×C8—21no—
706C22×C8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—21no—
710C4⋊Q8—21no—
711C4⋊Q8—21no—
712C4⋊Q8—41no—
713C4⋊Q8C2×D411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720#127—21no—
721#127—21no—
722#127—41no—
723#127C2×D411yescharacteristic
724#127C2411yescharacteristic
725#127C2411yescharacteristic
726#126—41no—
727#126—41no—
728#126—41no—
729#126—41no—
730#126—41no—
731#125—21no—
732#125—21no—
733#125—41no—
734#125—41no—
735#124—21no—
736#124—21no—
737#124—21no—
738#124—21no—
739#124—21no—
740#124—21no—
741#124—41no—
742#124—41no—
743#124—41no—
744#124—41no—
745#124—41no—
746#124—41no—
747#124—41no—
748#123—41no—
749#123—41no—
750#123—41no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
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—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774#121—21no—
775#121—21no—
776#121—21no—
777#121—21no—
778#121—21no—
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#121—41no—
798#121—41no—
799#121—41no—
800#121—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121C2×D411yescharacteristic
811#121C2×D411yescharacteristic
812#120—41no—
813#120—41no—
814#120—41no—
815#120—41no—
816#120—41no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—41no—
825C4×Q8C2×D411yescharacteristic
826C4×Q8C2×D411yescharacteristic
827C4×Q8C2411yescharacteristic
828C4×Q8C2411yescharacteristic
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—41no—
844C4×D4—41no—
845C4×D4—41no—
846C4×D4—41no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4C2×D411yescharacteristic
855C4×D4C2×D411yescharacteristic
856C4×D4C2×D411yescharacteristic
857C4×D4C2×D411yescharacteristic
858C4×D4C2411yescharacteristic
859C4×D4C2411yescharacteristic
860C4×D4C2411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864#117—21no—
865#117—21no—
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#117—41no—
876#117—41no—
877#117—41no—
878#117—41no—
879#117—41no—
880#117C2×D411yescharacteristic
881#117C2×D411yescharacteristic
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—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4C2×D411yescharacteristic
891C2×C22⋊C4—21no—
892C2×C22⋊C4—41no—
893C2×C22⋊C4—41no—
894C2×C22⋊C4—41no—
895C2×C42—21no—
896C2×C42—21no—
897C2×C42—41no—
898C2×C42—41no—
899C2×C42C2411yescharacteristic
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#107C2×D411yescharacteristic
913#107C2×D411yescharacteristic
914#107C2×D411yescharacteristic
915#107C2×D411yescharacteristic
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—
925#106—21no—
926#106—41no—
927#106—41no—
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931#106C2×D411yescharacteristic
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8C2×D411yescharacteristic
940C4⋊C8C2×D411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
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#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—41no—
970#103—41no—
971#103—41no—
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
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—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—41no—
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8C2×D411yescharacteristic
1037C22⋊C8C2×D411yescharacteristic
1038#97—21no—
1039#97—21no—
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97C2×D411yescharacteristic
1045#97C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054C24—41no—
1055#41—42no—
1056#41—42no—
1057#41—41no—
1058#41—41no—
1059#41—41no—
1060#41—41no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—84no—
1078#41—161no—
1079#41—162no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8C22×D411yescharacteristic
1092C2×Q8C22×D411yescharacteristic
1093C2×D4—22no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—21no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—81no—
1128C2×D4—81no—
1129C2×D4—81no—
1130C2×D4—81no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—84no—
1134C2×D4—84no—
1135C2×D4—84no—
1136C2×D4C22×D411yescharacteristic
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C2×D4C22×D411yescharacteristic
1140C2×D4C22×D411yescharacteristic
1141C2×D4C22×D411yescharacteristic
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—81no—
1167C22×C4—81no—
1168C22×C4C22×D411yescharacteristic
1169C22×C4C22×D411yescharacteristic
1170C22×C4H(5,𝔽2)11yescharacteristic
1171Q16—42no—
1172Q16—42no—
1173Q16—42no—
1174Q16—81no—
1175SD16—22no—
1176SD16—41no—
1177SD16—41no—
1178SD16—41no—
1179SD16—42no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—81no—
1185SD16—81no—
1186SD16—81no—
1187SD16—81no—
1188SD16—81no—
1189SD16—81no—
1190SD16—81no—
1191SD16—161no—
1192D8—22no—
1193D8—41no—
1194D8—41no—
1195D8—41no—
1196D8—42no—
1197D8—81no—
1198D8—81no—
1199D8—81no—
1200D8—81no—
1201D8—81no—
1202D8—161no—
1203M16—41no—
1204M16—41no—
1205M16—81no—
1206M16—81no—
1207M16—81no—
1208M16—81no—
1209M16—81no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—42no—
1221C2×C8—42no—
1222C2×C8—81no—
1223C2×C8—81no—
1224C2×C8—81no—
1225C2×C8—81no—
1226C2×C8—81no—
1227C2×C8—81no—
1228C2×C8—81no—
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
1234C2×C8C22×D411yescharacteristic
1235C2×C8C22×D411yescharacteristic
1236C2×C8C22×D411yescharacteristic
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—21no—
1248C4⋊C4—21no—
1249C4⋊C4—21no—
1250C4⋊C4—21no—
1251C4⋊C4—21no—
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C4⋊C4C22×D411yescharacteristic
1276C4⋊C4C22×D411yescharacteristic
1277C4⋊C4C22×D411yescharacteristic
1278C4⋊C4C22×D411yescharacteristic
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
1290C22⋊C4—21no—
1291C22⋊C4—21no—
1292C22⋊C4—21no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—21no—
1323C42—21no—
1324C42—41no—
1325C42—41no—
1326C42—41no—
1327C42—41no—
1328C42—41no—
1329C42—41no—
1330C42—41no—
1331C42C22×D411yescharacteristic
1332C42C22×D411yescharacteristic
1333C42H(5,𝔽2)11yescharacteristic
1334C42C2511yescharacteristic
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—42no—
1342C23—41no—
1343C23—41no—
1344C23—81no—
1345C23—81no—
1346C23—82no—
1347C23—82no—
1348C23—161no—
1349C23—161no—
1350C23—161no—
1351C23—161no—
1352C23D4211yescharacteristic
1353Q8—21no—
1354Q8—21no—
1355Q8—21no—
1356Q8—21no—
1357Q8—42no—
1358Q8—41no—
1359Q8—41no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—81no—
1367Q8—81no—
1368Q8—161no—
1369Q8—161no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—21no—
1377D4—21no—
1378D4—21no—
1379D4—21no—
1380D4—21no—
1381D4—42no—
1382D4—42no—
1383D4—42no—
1384D4—42no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—81no—
1394D4—81no—
1395D4—81no—
1396D4—81no—
1397D4—81no—
1398D4—82no—
1399D4—82no—
1400D4—82no—
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—161no—
1407D4—161no—
1408D4—161no—
1409D4—161no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
1414D4—161no—
1415D4#57512yes—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—41no—
1431C2×C4—42no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—81no—
1451C2×C4—81no—
1452C2×C4—81no—
1453C2×C4—81no—
1454C2×C4—81no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—81no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—161no—
1464C2×C4—161no—
1465C2×C4—161no—
1466C2×C4—161no—
1467C2×C4D4211yescharacteristic
1468C2×C4D4211yescharacteristic
1469C2×C4D4211yescharacteristic
1470C2×C4C23×D411yescharacteristic
1471C2×C4C23×D411yescharacteristic
1472C2×C4C2×H(5,𝔽2)11yescharacteristic
1473C8—21no—
1474C8—21no—
1475C8—21no—
1476C8—21no—
1477C8—21no—
1478C8—21no—
1479C8—21no—
1480C8—21no—
1481C8—41no—
1482C8—41no—
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C22—21no—
1492C22—22no—
1493C22—21no—
1494C22—21no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—81no—
1513C22—81no—
1514C22—81no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—162no—
1519C22—322no—
1520C22—322no—
1521C22C2×D4211yescharacteristic
1522C4—21no—
1523C4—21no—
1524C4—21no—
1525C4—21no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—81no—
1537C4—81no—
1538C4—81no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4C2×#57511yescharacteristic
1543C4#358411yescharacteristic
1544C4#358511yescharacteristic
1545C4#358511yescharacteristic
1546C2—41no—
1547C2—42no—
1548C2—81no—
1549C2—81no—
1550C2—81no—
1551C2—81no—
1552C2—81no—
1553C2—161no—
1554C2—161no—
1555C2#6106611yescharacteristic
1556C2#6107411yescharacteristic
1557C2#6110711yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22 ◁ C2×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #61987C2semidirect
2. #61733C2semidirect
3. #61459C2semidirect
4. #61199C2semidirect
5. #20289C2semidirect
6. #20258C2semidirect
7. #20254C2semidirect
8. #20225C2semidirect
9. #20177C2semidirect
10. #20130C2semidirect
11. #20057C2semidirect
12. #20057C2semidirect
13. #20044C2semidirect
14. #19987C2semidirect
15. #19946C2semidirect
16. #19915C2semidirect
17. #19851C2semidirect
18. #19788C2semidirect
19. #19776C2semidirect
20. #19775C2semidirect
21. #19718C2semidirect
22. #19486C2semidirect
23. #19457C2semidirect
24. #19369C2semidirect
25. #19319C2semidirect
26. #18838C2semidirect
27. #18833C2semidirect
28. #18804C2semidirect
29. #18774C2semidirect
30. #18050C2semidirect
31. #18007C2semidirect
34. #3483C22semidirect
36. #3397C22semidirect
37. #3397C22semidirect
38. #3397C22semidirect
39. #3385C22semidirect
40. #3369C22semidirect
41. #3369C22semidirect
42. #3369C22semidirect
43. #3366C22semidirect
49. #3341C22semidirect
68. #3305C22semidirect
69. #3303C22semidirect
70. #3303C22semidirect
71. #3303C22semidirect
78. #3284C22semidirect
79. #3284C22semidirect
80. #3284C22semidirect
87. #3229C22semidirect
91. #3206C22semidirect
94. #3182C22semidirect
98. #3116C22semidirect
109. #3039C22semidirect
113. #2990C22semidirect
115. #2970C22semidirect
120. #1719C22semidirect
121. #1718C22semidirect
122. #1718C22semidirect
123. #1717C22semidirect
124. #1715C22semidirect
125. #1714C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1702C22semidirect
132. #1702C22semidirect
133. #1702C22semidirect
134. #1700C22semidirect
135. #1700C22semidirect
136. #1698C22semidirect
137. #1697C22semidirect
138. #1695C22semidirect
139. #1694C22semidirect
140. #1692C22semidirect
141. #1685C22semidirect
142. #1685C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1675C22semidirect
155. #1673C22semidirect
156. #1671C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1652C22semidirect
165. #1652C22semidirect
166. #1652C22semidirect
167. #1652C22semidirect
168. #1646C22semidirect
169. #1646C22semidirect
170. #1646C22semidirect
171. #1645C22semidirect
172. #1644C22semidirect
173. #1644C22semidirect
174. #1642C22semidirect
175. #1641C22semidirect
176. #1638C22semidirect
177. #1638C22semidirect
180. #1635C22semidirect
181. #1635C22semidirect
186. #1624C22semidirect
187. #1623C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1586C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
211. #1556C22semidirect
212. #1551C22semidirect
213. #1550C22semidirect
215. #1488C22semidirect
217. #1477C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#619872
#617332
#614592
#611992
#202892
#202582
#202542
#202252
#201772
#201302
#200572
#200442
#199872
#199462
#199152
#198512
#197882
#197762
#197752
#197182
#194862
#194572
#193692
#193192
#188382
#188332
#188042
#187742
#180502
#180072