Finite Group Databasebeta

← #6360351

Subgroups — #6360351

Order 512.

1646 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61459C211yesmaximal, characteristic, complemented
2#61452C211yesmaximal, characteristic, complemented
3#61434C211yesmaximal, characteristic, complemented
4#61154C211yesmaximal, characteristic, complemented
5#20274C211yesmaximal, characteristic, complemented
6#20271C211yesmaximal, characteristic, complemented
7#20219C211yesmaximal, characteristic, complemented
8#20214C211yesmaximal, characteristic, complemented
9#20132C211yesmaximal, characteristic, complemented
10#20123C211yesmaximal, characteristic, complemented
11#20076C211yesmaximal, characteristic, complemented
12#20073C211yesmaximal, characteristic, complemented
13#20058C211yesmaximal, characteristic, complemented
14#20057C211yesmaximal, characteristic, complemented
15#20049C211yesmaximal, characteristic, complemented
16#20046C211yesmaximal, characteristic, complemented
17#19820C211yesmaximal, characteristic, complemented
18#19819C211yesmaximal, characteristic, complemented
19#19776C211yesmaximal, characteristic, complemented
20#19775C211yesmaximal, characteristic, complemented
21#19691C211yesmaximal, characteristic, complemented
22#19282C211yesmaximal, characteristic, complemented
23#19278C211yesmaximal, characteristic, complemented
24#19179C211yesmaximal, characteristic, complemented
25#19178C211yesmaximal, characteristic, complemented
26#18807C211yesmaximal, characteristic, complemented
27#18794C211yesmaximal, characteristic, complemented
28#18785C211yesmaximal, characteristic, complemented
29#18774C211yesmaximal, characteristic, complemented
30#18045C211yesmaximal, characteristic, complemented
31#17871C211yesmaximal, characteristic, complemented
32#3483C2211yescharacteristic, complemented
33#3482C2211yescharacteristic
34#3475C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3397C2211yescharacteristic
37#3397C2211yescharacteristic
38#3392C2211yescharacteristic, complemented
39#3386C2211yescharacteristic
40#3385C2211yescharacteristic, complemented
41Q8×SD16C2211yescharacteristic, complemented
42#3369C2211yescharacteristic
43#3368C2211yescharacteristic
44#3367C2211yescharacteristic
45#3366C2211yescharacteristic, complemented
46#3363C2211yescharacteristic, complemented
47#3358C2211yescharacteristic, complemented
48#3348—21no—
49#3343—21no—
50#3341C2211yescharacteristic
51#3340—21no—
52#3340C2211yescharacteristic, complemented
53#3334C2211yescharacteristic
54#3333C2211yescharacteristic
55#3332C2211yescharacteristic
56#3331C2211yescharacteristic
57#3330C2211yescharacteristic
58#3329C2211yescharacteristic
59#3328C2211yescharacteristic
60#3327—21no—
61#3326—21no—
62#3325C2211yescharacteristic
63#3324C2211yescharacteristic
64#3323—21no—
65#3322—21no—
66#3319—21no—
67#3317—21no—
68#3310—21no—
69#3308—21no—
70#3305C2211yescharacteristic
71#3304—21no—
72#3304C2211yescharacteristic, complemented
73#3303—21no—
74#3303C2211yescharacteristic, complemented
75#3303C2211yescharacteristic, complemented
76#3298C2211yescharacteristic
77#3294C2211yescharacteristic
78#3284—21no—
79#3284C2211yescharacteristic, complemented
80#3284C2211yescharacteristic, complemented
81D4×SD16C2211yescharacteristic
82#3268—21no—
83#3265—21no—
84#3231C2211yescharacteristic, complemented
85#3207C2211yescharacteristic
86#3182C2211yescharacteristic
87#3182C2211yescharacteristic, complemented
88#3180—21no—
89#3180—21no—
90#3167—21no—
91#3167C2211yescharacteristic, complemented
92#3131C2211yescharacteristic
93#3116C2211yescharacteristic, complemented
94#3115—21no—
95#3115C2211yescharacteristic
96#3114—21no—
97#3112—21no—
98#3111—21no—
99#3110C2211yescharacteristic
100#3109C2211yescharacteristic
101#3107—21no—
102#3107C2211yescharacteristic, complemented
103#3106—21no—
104#3106C2211yescharacteristic
105#3091—21no—
106#3076C2211yescharacteristic
107#3054—21no—
108#3035C2211yescharacteristic
109#3002—21no—
110#2970C2211yescharacteristic
111#2970C2211yescharacteristic, complemented
112C8×#41C2211yescharacteristic, complemented
113C4×AGL(1,ℤ/8)C2211yescharacteristic
114#2943—21no—
115C2×#440—21no—
116C4×#135—21no—
117C4×#135C2211yescharacteristic
118C2×#436C2211yescharacteristic
119#2896—21no—
120#1719C2211yescharacteristic, complemented
121#1719C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1718C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1715C2211yescharacteristic, complemented
127#1714C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic
130#1703C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1698C2211yescharacteristic, complemented
136#1696C2211yescharacteristic, complemented
137#1694C2211yescharacteristic, complemented
138#1691C2211yescharacteristic
139#1691C2211yescharacteristic, complemented
140#1686C2211yescharacteristic, complemented
141#1686C2211yescharacteristic, complemented
142#1685C2211yescharacteristic
143#1685C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1682C2211yescharacteristic, complemented
148#1681C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1678C2211yescharacteristic, complemented
154#1677C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1675C2211yescharacteristic, complemented
157#1673C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1653C2211yescharacteristic, complemented
163#1652C2211yescharacteristic
164#1650C2211yescharacteristic
165#1650C2211yescharacteristic, complemented
166#1649C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic
169#1646C2211yescharacteristic
170#1646C2211yescharacteristic, complemented
171#1645C2211yescharacteristic, complemented
172#1644C2211yescharacteristic, complemented
173#1643C2211yescharacteristic, complemented
174#1642C2211yescharacteristic, complemented
175#1641C2211yescharacteristic, complemented
176#1638C2211yescharacteristic, complemented
177#1637C2211yescharacteristic
178#1637C2211yescharacteristic, complemented
179#1636C2211yescharacteristic, complemented
180#1635C2211yescharacteristic
181#1635C2211yescharacteristic, complemented
182#1631C2211yescharacteristic
183#1629C2211yescharacteristic
184#1627C2211yescharacteristic
185#1625C2211yescharacteristic
186#1624C2211yescharacteristic, complemented
187#1623C2211yescharacteristic, complemented
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1621C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1593C2211yescharacteristic, complemented
193#1593C2211yescharacteristic, complemented
194#1588C2211yescharacteristic
195#1588C2211yescharacteristic, complemented
196#1586C2211yescharacteristic
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1585C2211yescharacteristic, complemented
201#1585C2211yescharacteristic, complemented
202#1583C2211yescharacteristic
203#1583C2211yescharacteristic, complemented
204#1581C2211yescharacteristic
205#1581C2211yescharacteristic, complemented
206#1580C2211yescharacteristic, complemented
207#1580C2211yescharacteristic, complemented
208#1568C2211yescharacteristic, complemented
209#1565C2211yescharacteristic, complemented
210#1554C2211yescharacteristic, complemented
211#1553C2211yescharacteristic
212#1552C2211yescharacteristic, complemented
213#1551C2211yescharacteristic, complemented
214#1488C2211yescharacteristic
215#1488C2211yescharacteristic, complemented
216#1478C2211yescharacteristic
217#1477C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×AGL(1,ℤ/8)D411yescharacteristic
221C2×#135—21no—
222C2×#135—21no—
223C2×#135—21no—
224C2×#135D411yescharacteristic
225C22×SD16—21no—
226C22×M16—21no—
227Q82C2311yescharacteristic
228#557C2311yescharacteristic
229#556—21no—
230#556C2311yescharacteristic
231#556C2311yescharacteristic
232#555—21no—
233#555—21no—
234#555—41no—
235#555C2311yescharacteristic
236#555C2311yescharacteristic
237#554C2311yescharacteristic
238#553—21no—
239#552—21no—
240#552—21no—
241#552—21no—
242#552—41no—
243#551—41no—
244#550—21no—
245#550—21no—
246#550C2311yescharacteristic
247#550C2311yescharacteristic
248#550C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251#548—21no—
252#548—21no—
253#547—21no—
254#547—21no—
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—41no—
261D42—21no—
262D42C2311yescharacteristic
263#533—21no—
264#533C2311yescharacteristic
265#533C2311yescharacteristic
266#532—21no—
267#532—21no—
268#532—21no—
269#532—41no—
270#532C2311yescharacteristic
271#532C2311yescharacteristic
272#529—21no—
273#529—21no—
274#529—41no—
275#529—41no—
276#525—21no—
277#525—21no—
278#525—41no—
279C4×#41—21no—
280C4×#41—21no—
281C4×#41—21no—
282C4×#41—21no—
283C4×#41C2311yescharacteristic
284C4×#41C2311yescharacteristic
285C4×#41C2311yescharacteristic
286C2×C4×Q8—21no—
287C2×C4×D4—21no—
288C2×C4×D4C2311yescharacteristic
289C2×#117—21no—
290#501—21no—
291#501—21no—
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#498—21no—
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#496—21no—
299#496—21no—
300#493C2311yescharacteristic
301#492—21no—
302#492C2311yescharacteristic
303#492C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#490—21no—
307#490—21no—
308#489—21no—
309#489—21no—
310#488—21no—
311#488—21no—
312#487—21no—
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#486—21no—
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#486C2311yescharacteristic
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#485—21no—
333#485—21no—
334#485—21no—
335#485—41no—
336#484—21no—
337#484—21no—
338#483—21no—
339#483—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#481—21no—
350#481—21no—
351#480—21no—
352#480—21no—
353#480—21no—
354#480—21no—
355#479—21no—
356#479—21no—
357#479—41no—
358#478—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#477—21no—
363#477—21no—
364#477—21no—
365#477C2311yescharacteristic
366#477C2311yescharacteristic
367#477C2311yescharacteristic
368#476—21no—
369#476C2311yescharacteristic
370#476C2311yescharacteristic
371#476C2311yescharacteristic
372#476C2311yescharacteristic
373#476C2311yescharacteristic
374#475—21no—
375#475—21no—
376#475C2311yescharacteristic
377#475C2311yescharacteristic
378#475C2311yescharacteristic
379#474—21no—
380#474—21no—
381#474C2311yescharacteristic
382#474C2311yescharacteristic
383#474C2311yescharacteristic
384#474C2311yescharacteristic
385#474C2311yescharacteristic
386#470—21no—
387#470—21no—
388#469—21no—
389#469—21no—
390#468—21no—
391#468—21no—
392#468—21no—
393#468—21no—
394#468—21no—
395#468—21no—
396#468—21no—
397#468—21no—
398#466—21no—
399#466—21no—
400#466—21no—
401#466—21no—
402#465—21no—
403#465—21no—
404#465—21no—
405#465—21no—
406#465—21no—
407#465—21no—
408#465—21no—
409#465—21no—
410#465—21no—
411#465—21no—
412#464—21no—
413#464—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463—41no—
419#462—21no—
420#462C2311yescharacteristic
421#462C2311yescharacteristic
422#462C2311yescharacteristic
423#461—21no—
424#461C2311yescharacteristic
425#461C2311yescharacteristic
426#461C2311yescharacteristic
427#461C2311yescharacteristic
428#461C2311yescharacteristic
429#460—21no—
430#460—21no—
431#460—21no—
432#460—21no—
433#460C2311yescharacteristic
434#460C2311yescharacteristic
435#460C2311yescharacteristic
436#459—21no—
437#459—21no—
438#459C2311yescharacteristic
439#459C2311yescharacteristic
440#459C2311yescharacteristic
441#459C2311yescharacteristic
442#459C2311yescharacteristic
443#452—21no—
444#452—21no—
445#452—21no—
446#452—21no—
447#452—21no—
448#452—21no—
449#452—21no—
450#451—21no—
451#450—21no—
452#450—21no—
453#450—21no—
454#449—21no—
455#449—21no—
456#449—21no—
457#449—21no—
458#449—21no—
459#449—21no—
460#449—21no—
461#449—21no—
462#449—21no—
463#449—41no—
464#448—21no—
465#448—21no—
466#448—21no—
467#447—21no—
468#447—21no—
469#447—21no—
470#446C2311yescharacteristic
471#446C2311yescharacteristic
472#446C2311yescharacteristic
473#446C2311yescharacteristic
474C8×Q8C2311yescharacteristic
475C8×Q8C2311yescharacteristic
476#442—21no—
477#442—21no—
478#442—21no—
479#442—21no—
480#442D411yescharacteristic
481#442D411yescharacteristic
482#441—21no—
483#441—21no—
484#440—21no—
485#440—21no—
486#440—21no—
487#440—21no—
488#440—21no—
489#440—21no—
490#440—21no—
491#440—21no—
492#440—21no—
493#440—21no—
494#440—21no—
495#440—21no—
496#440—21no—
497#440—21no—
498#440D411yescharacteristic
499#440D411yescharacteristic
500C4×Q16—21no—
501C4×Q16—21no—
502C4×Q16D411yescharacteristic
503C4×Q16C2311yescharacteristic
504C4×SD16—21no—
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16—21no—
509C4×SD16—21no—
510C4×SD16D411yescharacteristic
511C4×SD16D411yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×D8—21no—
517C4×D8—21no—
518C4×D8D411yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436—21no—
523#436—21no—
524#436C2311yescharacteristic
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#435—21no—
529#435—21no—
530#435—21no—
531#435—21no—
532C8×D4—21no—
533C8×D4—21no—
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540#432—21no—
541#432—21no—
542#432C2311yescharacteristic
543#432C2311yescharacteristic
544#431—21no—
545#431C2311yescharacteristic
546#431C2311yescharacteristic
547#428D411yescharacteristic
548#427—21no—
549#427—21no—
550#427—21no—
551#427D411yescharacteristic
552C2×#107—21no—
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#419—21no—
556#418—21no—
557#418—21no—
558#418D411yescharacteristic
559#417—21no—
560#417—21no—
561#417—21no—
562#417—21no—
563#417D411yescharacteristic
564#416—21no—
565#416—21no—
566#416—21no—
567#416—21no—
568#416—21no—
569#416—21no—
570#416—21no—
571#416—21no—
572#416D411yescharacteristic
573#416D411yescharacteristic
574C2×#103—21no—
575C2×#102—21no—
576C2×C22⋊C8—21no—
577C4×M16C2311yescharacteristic
578C2×#97—21no—
579C2×#97—21no—
580C2×C4×C8—21no—
581C2×C4×C8C2311yescharacteristic
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
610Q8⋊C8C2311yescharacteristic
611Q8⋊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
625#322C2311yescharacteristic
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—41no—
635C2×#41—41no—
636C2×#41—41no—
637C2×#41—44no—
638C2×#41—82no—
639C2×#41C2×D411yescharacteristic
640C2×#41C2×D411yescharacteristic
641C2×#41C2×D411yescharacteristic
642C22×Q8—21no—
643C22×Q8—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—41no—
647C22×D4C2×D411yescharacteristic
648C23×C4—21no—
649C23×C4—41no—
650AGL(1,ℤ/8)—42no—
651#135—42no—
652#135—44no—
653#135—44no—
654#135—82no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
658C2×Q16C2×D411yescharacteristic
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—41no—
674C2×SD16—44no—
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—41no—
685C2×D8C2×D411yescharacteristic
686C2×D8C2×D411yescharacteristic
687C2×D8C2×D411yescharacteristic
688C2×M16—21no—
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—82no—
693C2×M16C2×D411yescharacteristic
694C2×M16C2×D411yescharacteristic
695C22×C8—21no—
696C22×C8—21no—
697C22×C8—21no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8—21no—
702C22×C8C2×D411yescharacteristic
703C22×C8C2×D411yescharacteristic
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—21no—
709C4⋊Q8—41no—
710C4⋊Q8C2411yescharacteristic
711C4⋊Q8C2411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716#127—21no—
717#127—21no—
718#127—21no—
719#127—41no—
720#127C2411yescharacteristic
721#127C2411yescharacteristic
722#126—41no—
723#126—41no—
724#126—41no—
725#126—41no—
726#126—41no—
727#126—41no—
728#125—21no—
729#125—21no—
730#125—21no—
731#125—21no—
732#125—41no—
733#125—41no—
734#125—41no—
735#124—21no—
736#124—21no—
737#124—21no—
738#124—21no—
739#124—41no—
740#124—41no—
741#124—41no—
742#124—41no—
743#124—41no—
744#124—41no—
745#124—41no—
746#123—41no—
747#123—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—
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—41no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773#121—21no—
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—41no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121—41no—
797#121—41no—
798#121—41no—
799#121—41no—
800#120—41no—
801#120—41no—
802#120—41no—
803#120—41no—
804C4×Q8—21no—
805C4×Q8—21no—
806C4×Q8—21no—
807C4×Q8—21no—
808C4×Q8—21no—
809C4×Q8—21no—
810C4×Q8—21no—
811C4×Q8—21no—
812C4×Q8—21no—
813C4×Q8—21no—
814C4×Q8—41no—
815C4×Q8—41no—
816C4×Q8C2×D411yescharacteristic
817C4×Q8C2×D411yescharacteristic
818C4×Q8C2×D411yescharacteristic
819C4×Q8C2411yescharacteristic
820C4×Q8C2411yescharacteristic
821C4×Q8C2411yescharacteristic
822C4×D4—21no—
823C4×D4—21no—
824C4×D4—21no—
825C4×D4—21no—
826C4×D4—21no—
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—41no—
841C4×D4—41no—
842C4×D4—41no—
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×D4C2×D411yescharacteristic
853C4×D4C2×D411yescharacteristic
854C4×D4C2×D411yescharacteristic
855C4×D4C2×D411yescharacteristic
856C4×D4C2×D411yescharacteristic
857C4×D4C2411yescharacteristic
858C4×D4C2411yescharacteristic
859C4×D4C2411yescharacteristic
860C4×D4C2411yescharacteristic
861C4×D4C2411yescharacteristic
862#117—21no—
863#117—21no—
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—41no—
874#117—41no—
875#117—41no—
876#117—41no—
877#117—41no—
878#117—41no—
879#117—41no—
880#117C2×D411yescharacteristic
881#117C2×D411yescharacteristic
882#117C2×D411yescharacteristic
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—41no—
888C2×C4⋊C4C2×D411yescharacteristic
889C2×C22⋊C4—21no—
890C2×C22⋊C4—41no—
891C2×C22⋊C4—41no—
892C2×C42—21no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42—41no—
896C2×C42—41no—
897C2×C42—41no—
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—41no—
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#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
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#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—41no—
972#103—41no—
973#103—41no—
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
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
1019C22⋊C8—21no—
1020C22⋊C8—21no—
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—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039#97C2×D411yescharacteristic
1040#97C2×D411yescharacteristic
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054#41—22no—
1055#41—22no—
1056#41—41no—
1057#41—41no—
1058#41—41no—
1059#41—41no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—42no—
1064#41—42no—
1065#41—42no—
1066#41—42no—
1067#41—42no—
1068#41—84no—
1069#41—81no—
1070#41—81no—
1071#41—81no—
1072#41—81no—
1073#41—81no—
1074#41—81no—
1075#41—84no—
1076#41—161no—
1077#41—162no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—41no—
1087C2×Q8—42no—
1088C2×Q8—42no—
1089C2×Q8—81no—
1090C2×Q8—81no—
1091C2×Q8C22×D411yescharacteristic
1092C2×Q8C22×D411yescharacteristic
1093C2×Q8C22×D411yescharacteristic
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—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—84no—
1126C2×D4C22×D411yescharacteristic
1127C2×D4C22×D411yescharacteristic
1128C2×D4C22×D411yescharacteristic
1129C2×D4C22×D411yescharacteristic
1130C2×D4C22×D411yescharacteristic
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—42no—
1149C22×C4—42no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—84no—
1159C22×C4C22×D411yescharacteristic
1160C22×C4C22×D411yescharacteristic
1161C22×C4H(5,𝔽2)11yescharacteristic
1162Q16—41no—
1163Q16—42no—
1164Q16—42no—
1165Q16—81no—
1166SD16—22no—
1167SD16—22no—
1168SD16—22no—
1169SD16—41no—
1170SD16—42no—
1171SD16—42no—
1172SD16—42no—
1173SD16—42no—
1174SD16—42no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—81no—
1181SD16—81no—
1182SD16—81no—
1183SD16—81no—
1184SD16—161no—
1185D8—22no—
1186D8—41no—
1187D8—41no—
1188D8—42no—
1189D8—42no—
1190D8—81no—
1191D8—81no—
1192D8—81no—
1193D8—161no—
1194M16—41no—
1195M16—41no—
1196M16—81no—
1197M16—81no—
1198M16—81no—
1199M16—81no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—21no—
1210C2×C8—41no—
1211C2×C8—41no—
1212C2×C8—42no—
1213C2×C8—42no—
1214C2×C8—42no—
1215C2×C8—42no—
1216C2×C8—81no—
1217C2×C8—81no—
1218C2×C8—81no—
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C2×C8C22×D411yescharacteristic
1222C2×C8C22×D411yescharacteristic
1223C2×C8C22×D411yescharacteristic
1224C2×C8C22×D411yescharacteristic
1225C2×C8C22×D411yescharacteristic
1226C2×C8C22×D411yescharacteristic
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
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—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4C22×D411yescharacteristic
1265C4⋊C4C22×D411yescharacteristic
1266C4⋊C4C22×D411yescharacteristic
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
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—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—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—
1309C42—21no—
1310C42—21no—
1311C42—21no—
1312C42—21no—
1313C42—21no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—21no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42—41no—
1326C42C22×D411yescharacteristic
1327C42C22×D411yescharacteristic
1328C42H(5,𝔽2)11yescharacteristic
1329C42C2511yescharacteristic
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—42no—
1336C23—41no—
1337C23—41no—
1338C23—81no—
1339C23—81no—
1340C23—82no—
1341C23—82no—
1342C23—161no—
1343C23D4211yescharacteristic
1344Q8—21no—
1345Q8—21no—
1346Q8—21no—
1347Q8—21no—
1348Q8—21no—
1349Q8—41no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—82no—
1358Q8—81no—
1359Q8—81no—
1360Q8—82no—
1361Q8—161no—
1362Q8#57512yes—
1363D4—21no—
1364D4—21no—
1365D4—21no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—42no—
1373D4—42no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—81no—
1383D4—82no—
1384D4—81no—
1385D4—81no—
1386D4—81no—
1387D4—82no—
1388D4—82no—
1389D4—82no—
1390D4—82no—
1391D4—82no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—161no—
1396D4—161no—
1397D4—161no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401D4#57512yes—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—41no—
1418C2×C4—42no—
1419C2×C4—42no—
1420C2×C4—42no—
1421C2×C4—42no—
1422C2×C4—42no—
1423C2×C4—42no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—81no—
1441C2×C4—81no—
1442C2×C4—81no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—82no—
1446C2×C4—82no—
1447C2×C4—82no—
1448C2×C4—82no—
1449C2×C4—82no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—161no—
1454C2×C4D4211yescharacteristic
1455C2×C4D4211yescharacteristic
1456C2×C4D4211yescharacteristic
1457C2×C4C23×D411yescharacteristic
1458C2×C4C23×D411yescharacteristic
1459C2×C4C2×H(5,𝔽2)11yescharacteristic
1460C8—21no—
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—21no—
1465C8—21no—
1466C8—21no—
1467C8—21no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C22—21no—
1479C22—21no—
1480C22—22no—
1481C22—21no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—81no—
1500C22—81no—
1501C22—81no—
1502C22—162no—
1503C22—164no—
1504C22C2×D4211yescharacteristic
1505C4—21no—
1506C4—22no—
1507C4—21no—
1508C4—21no—
1509C4—21no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4C2×#57511yescharacteristic
1527C4C2×#57511yescharacteristic
1528C4#358411yescharacteristic
1529C4#358511yescharacteristic
1530C2—41no—
1531C2—42no—
1532C2—81no—
1533C2—81no—
1534C2—81no—
1535C2—81no—
1536C2—161no—
1537C2—161no—
1538C2#6103011yescharacteristic
1539C2#6106611yescharacteristic
1540C2#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. #61459C2semidirect
2. #61452C2semidirect
3. #61434C2semidirect
4. #61154C2semidirect
5. #20274C2semidirect
6. #20271C2semidirect
7. #20219C2semidirect
8. #20214C2semidirect
9. #20132C2semidirect
10. #20123C2semidirect
11. #20076C2semidirect
12. #20073C2semidirect
13. #20058C2semidirect
14. #20057C2semidirect
15. #20049C2semidirect
16. #20046C2semidirect
17. #19820C2semidirect
18. #19819C2semidirect
19. #19776C2semidirect
20. #19775C2semidirect
21. #19691C2semidirect
22. #19282C2semidirect
23. #19278C2semidirect
24. #19179C2semidirect
25. #19178C2semidirect
26. #18807C2semidirect
27. #18794C2semidirect
28. #18785C2semidirect
29. #18774C2semidirect
30. #18045C2semidirect
31. #17871C2semidirect
32. #3483C22semidirect
38. #3392C22semidirect
40. #3385C22semidirect
41. Q8×SD16C22semidirect
45. #3366C22semidirect
46. #3363C22semidirect
47. #3358C22semidirect
52. #3340C22semidirect
72. #3304C22semidirect
74. #3303C22semidirect
75. #3303C22semidirect
79. #3284C22semidirect
80. #3284C22semidirect
84. #3231C22semidirect
87. #3182C22semidirect
91. #3167C22semidirect
93. #3116C22semidirect
102. #3107C22semidirect
111. #2970C22semidirect
112. C8×#41C22semidirect
120. #1719C22semidirect
121. #1719C22semidirect
122. #1719C22semidirect
123. #1718C22semidirect
124. #1718C22semidirect
125. #1717C22semidirect
126. #1715C22semidirect
127. #1714C22semidirect
128. #1704C22semidirect
130. #1703C22semidirect
131. #1702C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1698C22semidirect
136. #1696C22semidirect
137. #1694C22semidirect
139. #1691C22semidirect
140. #1686C22semidirect
141. #1686C22semidirect
143. #1685C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1682C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1678C22semidirect
154. #1677C22semidirect
155. #1677C22semidirect
156. #1675C22semidirect
157. #1673C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1653C22semidirect
165. #1650C22semidirect
166. #1649C22semidirect
167. #1647C22semidirect
170. #1646C22semidirect
171. #1645C22semidirect
172. #1644C22semidirect
173. #1643C22semidirect
174. #1642C22semidirect
175. #1641C22semidirect
176. #1638C22semidirect
178. #1637C22semidirect
179. #1636C22semidirect
181. #1635C22semidirect
186. #1624C22semidirect
187. #1623C22semidirect
189. #1621C22semidirect
190. #1621C22semidirect
192. #1593C22semidirect
193. #1593C22semidirect
195. #1588C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1585C22semidirect
201. #1585C22semidirect
203. #1583C22semidirect
205. #1581C22semidirect
206. #1580C22semidirect
207. #1580C22semidirect
208. #1568C22semidirect
209. #1565C22semidirect
210. #1554C22semidirect
212. #1552C22semidirect
213. #1551C22semidirect
215. #1488C22semidirect
217. #1477C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#614592
#614522
#614342
#611542
#202742
#202712
#202192
#202142
#201322
#201232
#200762
#200732
#200582
#200572
#200492
#200462
#198202
#198192
#197762
#197752
#196912
#192822
#192782
#191792
#191782
#188072
#187942
#187852
#187742
#180452
#178712