Finite Group Databasebeta

← #6369278

Subgroups — #6369278

Order 512.

1692 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62128C211yesmaximal, characteristic, complemented
2#61599C211yesmaximal, characteristic, complemented
3#61451C211yesmaximal, characteristic, complemented
4#61209C211yesmaximal, characteristic, complemented
5#20294C211yesmaximal, characteristic, complemented
6#20260C211yesmaximal, characteristic, complemented
7#20196C211yesmaximal, characteristic, complemented
8#20179C211yesmaximal, characteristic, complemented
9#20175C211yesmaximal, characteristic, complemented
10#20070C211yesmaximal, characteristic, complemented
11#20042C211yesmaximal, characteristic, complemented
12#20042C211yesmaximal, characteristic, complemented
13#20022C211yesmaximal, characteristic, complemented
14#19987C211yesmaximal, characteristic, complemented
15#19915C211yesmaximal, characteristic, complemented
16#19891C211yesmaximal, characteristic, complemented
17#19792C211yesmaximal, characteristic, complemented
18#19772C211yesmaximal, characteristic, complemented
19#19771C211yesmaximal, characteristic, complemented
20#19766C211yesmaximal, characteristic, complemented
21#19724C211yesmaximal, characteristic, complemented
22#19481C211yesmaximal, characteristic, complemented
23#19462C211yesmaximal, characteristic, complemented
24#19370C211yesmaximal, characteristic, complemented
25#19317C211yesmaximal, characteristic, complemented
26#18857C211yesmaximal, characteristic, complemented
27#18826C211yesmaximal, characteristic, complemented
28#18799C211yesmaximal, characteristic, complemented
29#18755C211yesmaximal, characteristic, complemented
30#18050C211yesmaximal, characteristic, complemented
31#18007C211yesmaximal, characteristic, complemented
32#3506C2211yescharacteristic, complemented
33#3499C2211yescharacteristic, complemented
34#3481C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3399C2211yescharacteristic
37#3384C2211yescharacteristic
38#3384C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3373C2211yescharacteristic
41#3373C2211yescharacteristic, complemented
42#3373C2211yescharacteristic, complemented
43#3366C2211yescharacteristic
44#3345—21no—
45#3345—21no—
46#3345—21no—
47#3335C2211yescharacteristic
48#3335C2211yescharacteristic, complemented
49#3335C2211yescharacteristic, complemented
50#3330C2211yescharacteristic
51#3330C2211yescharacteristic, complemented
52#3329C2211yescharacteristic, complemented
53#3329C2211yescharacteristic, complemented
54#3329C2211yescharacteristic, complemented
55#3325C2211yescharacteristic
56#3320—21no—
57#3320—21no—
58#3318—21no—
59#3313—21no—
60#3311—21no—
61#3307—21no—
62#3307—21no—
63#3306—21no—
64#3306—21no—
65#3306—21no—
66#3305C2211yescharacteristic, complemented
67#3303C2211yescharacteristic
68#3303C2211yescharacteristic
69#3303C2211yescharacteristic, complemented
70#3298C2211yescharacteristic, complemented
71#3298C2211yescharacteristic, complemented
72#3295C2211yescharacteristic
73#3294C2211yescharacteristic
74#3294C2211yescharacteristic, complemented
75#3294C2211yescharacteristic, complemented
76#3284C2211yescharacteristic, complemented
77#3283C2211yescharacteristic
78D4×D8C2211yescharacteristic
79#3276C2211yescharacteristic, complemented
80#3272C2211yescharacteristic
81#3271—21no—
82#3268—21no—
83#3264—21no—
84#3253C2211yescharacteristic, complemented
85#3247—21no—
86#3238—21no—
87#3227C2211yescharacteristic, complemented
88#3227C2211yescharacteristic, complemented
89#3214C2211yescharacteristic, complemented
90#3210C2211yescharacteristic, complemented
91#3210C2211yescharacteristic, complemented
92#3197—21no—
93#3191—21no—
94#3184C2211yescharacteristic
95#3180—21no—
96#3139C2211yescharacteristic, complemented
97#3116C2211yescharacteristic
98#3115C2211yescharacteristic
99#3114—21no—
100#3109—21no—
101#3109—21no—
102#3109C2211yescharacteristic
103#3106C2211yescharacteristic
104#3097—21no—
105#3079C2211yescharacteristic
106#3076C2211yescharacteristic, complemented
107C2×#476—21no—
108#3057—21no—
109C2×#461C2211yescharacteristic, complemented
110#3010—21no—
111#3005—21no—
112#3002—21no—
113#2990C2211yescharacteristic, complemented
114#2974C2211yescharacteristic, complemented
115#2970C2211yescharacteristic
116C4×AGL(1,ℤ/8)C2211yescharacteristic
117C2×#442—21no—
118#2935C2211yescharacteristic, complemented
119#2898—21no—
120#1720C2211yescharacteristic, complemented
121#1720C2211yescharacteristic, complemented
122#1717C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1716C2211yescharacteristic, complemented
125#1716C2211yescharacteristic, complemented
126#1708C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1704C2211yescharacteristic, complemented
131#1701C2211yescharacteristic
132#1701C2211yescharacteristic
133#1701C2211yescharacteristic, complemented
134#1700C2211yescharacteristic, complemented
135#1700C2211yescharacteristic, complemented
136#1698C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1691C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1690C2211yescharacteristic, complemented
142#1687C2211yescharacteristic, complemented
143#1686C2211yescharacteristic, 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#1671C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1669C2211yescharacteristic, complemented
158#1667C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1654C2211yescharacteristic
162#1654C2211yescharacteristic, complemented
163#1654C2211yescharacteristic, complemented
164#1651C2211yescharacteristic, complemented
165#1651C2211yescharacteristic, complemented
166#1651C2211yescharacteristic, complemented
167#1651C2211yescharacteristic, complemented
168#1644C2211yescharacteristic, complemented
169#1643C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1642C2211yescharacteristic, complemented
172#1640C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic, complemented
176#1635C2211yescharacteristic, complemented
177#1635C2211yescharacteristic, complemented
178#1634C2211yescharacteristic, complemented
179#1634C2211yescharacteristic, complemented
180#1632C2211yescharacteristic, complemented
181#1632C2211yescharacteristic, complemented
182#1630C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1627C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1625C2211yescharacteristic
187#1625C2211yescharacteristic, complemented
188#1625C2211yescharacteristic, complemented
189#1625C2211yescharacteristic, complemented
190#1624C2211yescharacteristic
191#1624C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1586C2211yescharacteristic
197#1586C2211yescharacteristic, complemented
198#1585C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1582C2211yescharacteristic, complemented
201#1582C2211yescharacteristic, complemented
202#1581C2211yescharacteristic
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1580C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1556C2211yescharacteristic, complemented
212#1551C2211yescharacteristic, complemented
213#1547C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic, complemented
217#1477C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)D411yescharacteristic
224C2×#135—21no—
225C2×#135—21no—
226C22×SD16—21no—
227C22×D8—21no—
228C2×#131—21no—
229#559—41no—
230#559C2311yescharacteristic
231#556—21no—
232#555C2311yescharacteristic
233#555C2311yescharacteristic
234#554C2311yescharacteristic
235#554C2311yescharacteristic
236#553—21no—
237#553—21no—
238#553—21no—
239#553—21no—
240#551—41no—
241#550—21no—
242#550C2311yescharacteristic
243D4×Q8—21no—
244D4×Q8C2311yescharacteristic
245D4×Q8C2311yescharacteristic
246D4×Q8C2311yescharacteristic
247#548—21no—
248#547—21no—
249#547—21no—
250#547—21no—
251#547—21no—
252#547—41no—
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#546—21no—
261#546—41no—
262D42—21no—
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265#538—41no—
266#536—21no—
267#536—41no—
268#535—21no—
269#533C2311yescharacteristic
270#532—21no—
271#532—21no—
272#532C2311yescharacteristic
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275C2×C4⋊Q8—21no—
276C2×C4⋊Q8C2311yescharacteristic
277#529—21no—
278#529—21no—
279#525—21no—
280#525—21no—
281#525—21no—
282#525—41no—
283#525—41no—
284#520—21no—
285C4×#41C2311yescharacteristic
286C4×#41C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#501—21no—
293#501—21no—
294#498C2311yescharacteristic
295#498C2311yescharacteristic
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#496—21no—
300#496—21no—
301#494C2311yescharacteristic
302#494C2311yescharacteristic
303#493C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#491—21no—
307#491—21no—
308#490—21no—
309#489—21no—
310#489—21no—
311#489—21no—
312#489—21no—
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—21no—
332#485—21no—
333#485—21no—
334#484—21no—
335#484—21no—
336#483—21no—
337#483—21no—
338#483—21no—
339#483—21no—
340#483—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#482D411yescharacteristic
345#482D411yescharacteristic
346#481—21no—
347#481—21no—
348#481—21no—
349#481—21no—
350#481—21no—
351#481—21no—
352#481—21no—
353#481—41no—
354#480—21no—
355#480—21no—
356#480—21no—
357#479—21no—
358#478—21no—
359#478—21no—
360#478—21no—
361#478—21no—
362#478—21no—
363#477—21no—
364#477D411yescharacteristic
365#477C2311yescharacteristic
366#477C2311yescharacteristic
367#476—21no—
368#476—21no—
369#476—21no—
370#476—21no—
371#476—21no—
372#476—21no—
373#476—21no—
374#476—21no—
375#476—21no—
376#476—21no—
377#476—41no—
378#476D411yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#475C2311yescharacteristic
386#475C2311yescharacteristic
387#475C2311yescharacteristic
388#475C2311yescharacteristic
389#474C2311yescharacteristic
390#474C2311yescharacteristic
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#470—21no—
394#469—21no—
395#469—21no—
396#469—21no—
397#469—21no—
398#469—21no—
399#468—21no—
400#468—21no—
401#468—21no—
402#468—21no—
403#468—21no—
404#468—21no—
405#467—21no—
406#466—21no—
407#466—21no—
408#466—21no—
409#466—21no—
410#466—21no—
411#465—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#465—21no—
421#464—21no—
422#464—21no—
423#464—41no—
424#463—21no—
425#463—21no—
426#463—21no—
427#463—21no—
428#462C2311yescharacteristic
429#461—21no—
430#461—21no—
431#461C2311yescharacteristic
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#461C2311yescharacteristic
436#461C2311yescharacteristic
437#461C2311yescharacteristic
438#460D411yescharacteristic
439#460C2311yescharacteristic
440#459—21no—
441#459—21no—
442#459—21no—
443#459D411yescharacteristic
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic
447#459C2311yescharacteristic
448#459C2311yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#452—21no—
452#452—21no—
453#452—21no—
454#452—21no—
455#452—21no—
456#452—21no—
457#452—21no—
458#452—41no—
459#451—21no—
460#450—21no—
461#450—21no—
462#449—21no—
463#449—21no—
464#449—21no—
465#449—21no—
466#449—21no—
467#449—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449D411yescharacteristic
474#449D411yescharacteristic
475#448—21no—
476#448—21no—
477#448—21no—
478#448—21no—
479#448—21no—
480#447—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447—21no—
487#446C2311yescharacteristic
488#446C2311yescharacteristic
489#446C2311yescharacteristic
490#446C2311yescharacteristic
491#442—21no—
492#442—21no—
493#442—21no—
494#442—21no—
495#442—21no—
496#442—21no—
497#442—21no—
498#442—21no—
499#442—21no—
500#442—21no—
501#442—21no—
502#442—21no—
503#442—21no—
504#442D411yescharacteristic
505#442D411yescharacteristic
506#441—21no—
507#440—21no—
508#440—21no—
509#440D411yescharacteristic
510#440D411yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×SD16C2311yescharacteristic
513C4×SD16C2311yescharacteristic
514C4×SD16C2311yescharacteristic
515C4×D8C2311yescharacteristic
516C4×D8C2311yescharacteristic
517C4×D8C2311yescharacteristic
518C4×D8C2311yescharacteristic
519#436C2311yescharacteristic
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#435—21no—
524#435—21no—
525#435—21no—
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530#435—21no—
531C8×D4C2311yescharacteristic
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535C8×D4C2311yescharacteristic
536C8×D4C2311yescharacteristic
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539#432—21no—
540#432—21no—
541#432C2311yescharacteristic
542#432C2311yescharacteristic
543#431C2311yescharacteristic
544#431C2311yescharacteristic
545#428—21no—
546#428D411yescharacteristic
547#427—21no—
548C2×#106—21no—
549C2×#106—21no—
550C2×#106—21no—
551#423C2311yescharacteristic
552C2×C4⋊C8—21no—
553C2×C4⋊C8C2311yescharacteristic
554#419—21no—
555#419—21no—
556#419—21no—
557#419—21no—
558#419—21no—
559#418—21no—
560#418D411yescharacteristic
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—
570C2×#103—21no—
571C2×#103—21no—
572C2×#103—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
6262−1+4—44no—
6272−1+4—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—41no—
638C2×#41—41no—
639C2×#41—41no—
640C2×#41—41no—
641C2×#41—41no—
642C2×#41—82no—
643C2×#41—82no—
644C2×#41C2×D411yescharacteristic
645C2×#41C2×D411yescharacteristic
646C22×Q8—21no—
647C22×Q8—21no—
648C22×Q8—21no—
649C22×Q8—21no—
650C22×Q8—41no—
651C22×D4—21no—
652C22×D4—21no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—41no—
656C22×D4C2×D411yescharacteristic
657C23×C4—21no—
658C23×C4—41no—
659C23×C4—41no—
660#137—82no—
661AGL(1,ℤ/8)—42no—
662AGL(1,ℤ/8)—82no—
663#135—82no—
664#135—82no—
665C2×Q16—21no—
666C2×Q16—21no—
667C2×Q16—21no—
668C2×Q16—41no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—21no—
673C2×SD16—21no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—41no—
680C2×SD16—82no—
681C2×SD16C2×D411yescharacteristic
682C2×SD16C2×D411yescharacteristic
683C2×SD16C2×D411yescharacteristic
684C2×SD16C2×D411yescharacteristic
685C2×D8—21no—
686C2×D8—21no—
687C2×D8—21no—
688C2×D8—21no—
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—44no—
695C2×D8C2×D411yescharacteristic
696C2×D8C2×D411yescharacteristic
697C2×D8C2×D411yescharacteristic
698C2×D8C2×D411yescharacteristic
699#131—82no—
700C2×M16—21no—
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C2×M16C2×D411yescharacteristic
706C2×M16C2×D411yescharacteristic
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C22×C8—21no—
713C22×C8—21no—
714C22×C8—21no—
715C22×C8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—41no—
723C4⋊Q8—41no—
724C4⋊Q8C2×D411yescharacteristic
725C4⋊Q8C2411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730C4⋊Q8C2411yescharacteristic
731#127—21no—
732#127—41no—
733#127C2×D411yescharacteristic
734#127C2411yescharacteristic
735#127C2411yescharacteristic
736#126—41no—
737#126—41no—
738#126—41no—
739#126—41no—
740#125—21no—
741#125—21no—
742#125—21no—
743#124—21no—
744#124—21no—
745#124—21no—
746#124—21no—
747#124—21no—
748#124—41no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790#121—21no—
791#121—21no—
792#121—21no—
793#121—21no—
794#121—21no—
795#121—21no—
796#121—21no—
797#121—21no—
798#121—21no—
799#121—21no—
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121—41no—
815#121—41no—
816#121—41no—
817#121C2×D411yescharacteristic
818#121C2×D411yescharacteristic
819#120—41no—
820#120—41no—
821#120—41no—
822#120—41no—
823#120—41no—
824#120—41no—
825#120—41no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8—41no—
829C4×Q8C2×D411yescharacteristic
830C4×Q8C2×D411yescharacteristic
831C4×Q8C2411yescharacteristic
832C4×Q8C2411yescharacteristic
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—21no—
848C4×D4—21no—
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4—41no—
859C4×D4—41no—
860C4×D4—41no—
861C4×D4—41no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4C2×D411yescharacteristic
866C4×D4C2×D411yescharacteristic
867C4×D4C2×D411yescharacteristic
868C4×D4C2×D411yescharacteristic
869C4×D4C2411yescharacteristic
870C4×D4C2411yescharacteristic
871C4×D4C2411yescharacteristic
872C4×D4C2411yescharacteristic
873C4×D4C2411yescharacteristic
874C4×D4C2411yescharacteristic
875#117—21no—
876#117—21no—
877#117—21no—
878#117—21no—
879#117—21no—
880#117—21no—
881#117—21no—
882#117—41no—
883#117C2×D411yescharacteristic
884#117C2×D411yescharacteristic
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—21no—
890C2×C4⋊C4—21no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—41no—
895C2×C4⋊C4C2×D411yescharacteristic
896C2×C22⋊C4—21no—
897C2×C22⋊C4—41no—
898C2×C22⋊C4—41no—
899C2×C22⋊C4—41no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42C2411yescharacteristic
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107C2×D411yescharacteristic
910#107C2×D411yescharacteristic
911#107C2×D411yescharacteristic
912#107C2×D411yescharacteristic
913#106—21no—
914#106—21no—
915#106—21no—
916#106—21no—
917#106—21no—
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—41no—
930#106—41no—
931#106C2×D411yescharacteristic
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—21no—
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—41no—
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
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—21no—
1009#102—41no—
1010#102—41no—
1011#102—41no—
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
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
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⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8C2×D411yescharacteristic
1040C22⋊C8C2×D411yescharacteristic
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044#97—21no—
1045#97—21no—
1046#97—21no—
1047#97C2×D411yescharacteristic
1048#97C2×D411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057C24—41no—
1058#41—22no—
1059#41—22no—
1060#41—41no—
1061#41—41no—
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—84no—
1075#41—84no—
1076#41—81no—
1077#41—81no—
1078#41—81no—
1079#41—81no—
1080#41—84no—
1081#41—84no—
1082#41—84no—
1083#41—161no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—21no—
1091C2×Q8—41no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—42no—
1095C2×Q8—42no—
1096C2×Q8—41no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—81no—
1101C2×Q8—81no—
1102C2×Q8—81no—
1103C2×Q8—84no—
1104C2×Q8C22×D411yescharacteristic
1105C2×Q8C22×D411yescharacteristic
1106C2×D4—21no—
1107C2×D4—21no—
1108C2×D4—21no—
1109C2×D4—21no—
1110C2×D4—21no—
1111C2×D4—21no—
1112C2×D4—21no—
1113C2×D4—21no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
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—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—84no—
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C2×D4C22×D411yescharacteristic
1149C2×D4C22×D411yescharacteristic
1150C2×D4C22×D411yescharacteristic
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—81no—
1180C22×C4—81no—
1181C22×C4—84no—
1182C22×C4—162no—
1183C22×C4C22×D411yescharacteristic
1184C22×C4C22×D411yescharacteristic
1185C22×C4H(5,𝔽2)11yescharacteristic
1186Q16—42no—
1187Q16—81no—
1188Q16—81no—
1189Q16—161no—
1190SD16—41no—
1191SD16—41no—
1192SD16—41no—
1193SD16—41no—
1194SD16—42no—
1195SD16—81no—
1196SD16—81no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—81no—
1202SD16—81no—
1203SD16—81no—
1204SD16—161no—
1205D8—22no—
1206D8—22no—
1207D8—22no—
1208D8—22no—
1209D8—42no—
1210D8—42no—
1211D8—42no—
1212D8—81no—
1213D8—81no—
1214D8—81no—
1215D8—81no—
1216D8—81no—
1217D8—81no—
1218M16—41no—
1219M16—41no—
1220M16—81no—
1221M16—81no—
1222M16—81no—
1223M16—81no—
1224M16—81no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—42no—
1236C2×C8—42no—
1237C2×C8—81no—
1238C2×C8—81no—
1239C2×C8—81no—
1240C2×C8—81no—
1241C2×C8—81no—
1242C2×C8—81no—
1243C2×C8—81no—
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
1246C2×C8C22×D411yescharacteristic
1247C2×C8C22×D411yescharacteristic
1248C2×C8C22×D411yescharacteristic
1249C2×C8C22×D411yescharacteristic
1250C2×C8C22×D411yescharacteristic
1251C2×C8C22×D411yescharacteristic
1252C4⋊C4—21no—
1253C4⋊C4—21no—
1254C4⋊C4—21no—
1255C4⋊C4—21no—
1256C4⋊C4—21no—
1257C4⋊C4—21no—
1258C4⋊C4—21no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C22⋊C4—21no—
1295C22⋊C4—21no—
1296C22⋊C4—21no—
1297C22⋊C4—21no—
1298C22⋊C4—21no—
1299C22⋊C4—21no—
1300C22⋊C4—21no—
1301C22⋊C4—21no—
1302C22⋊C4—21no—
1303C22⋊C4—21no—
1304C22⋊C4—21no—
1305C22⋊C4—21no—
1306C22⋊C4—21no—
1307C22⋊C4—21no—
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—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—21no—
1337C42—21no—
1338C42—21no—
1339C42—41no—
1340C42—41no—
1341C42—41no—
1342C42C22×D411yescharacteristic
1343C42C22×D411yescharacteristic
1344C42H(5,𝔽2)11yescharacteristic
1345C42C2511yescharacteristic
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—41no—
1353C23—41no—
1354C23—81no—
1355C23—81no—
1356C23—81no—
1357C23—82no—
1358C23—82no—
1359C23—82no—
1360C23—82no—
1361C23—161no—
1362C23—161no—
1363C23D4211yescharacteristic
1364Q8—21no—
1365Q8—21no—
1366Q8—21no—
1367Q8—21no—
1368Q8—42no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—41no—
1376Q8—41no—
1377Q8—81no—
1378Q8—81no—
1379Q8—82no—
1380Q8—82no—
1381Q8—82no—
1382Q8—82no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—21no—
1391D4—21no—
1392D4—21no—
1393D4—42no—
1394D4—42no—
1395D4—42no—
1396D4—42no—
1397D4—42no—
1398D4—41no—
1399D4—41no—
1400D4—41no—
1401D4—41no—
1402D4—41no—
1403D4—41no—
1404D4—41no—
1405D4—41no—
1406D4—81no—
1407D4—81no—
1408D4—81no—
1409D4—81no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417D4—82no—
1418D4—82no—
1419D4—161no—
1420D4—161no—
1421D4—161no—
1422D4—161no—
1423D4—161no—
1424D4—161no—
1425D4#57512yes—
1426D4#57712yes—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—41no—
1442C2×C4—42no—
1443C2×C4—42no—
1444C2×C4—42no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—81no—
1464C2×C4—81no—
1465C2×C4—81no—
1466C2×C4—82no—
1467C2×C4—82no—
1468C2×C4—81no—
1469C2×C4—82no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—82no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—82no—
1476C2×C4—82no—
1477C2×C4—161no—
1478C2×C4—161no—
1479C2×C4—161no—
1480C2×C4—161no—
1481C2×C4—161no—
1482C2×C4D4211yescharacteristic
1483C2×C4D4211yescharacteristic
1484C2×C4D4211yescharacteristic
1485C2×C4C23×D411yescharacteristic
1486C2×C4C23×D411yescharacteristic
1487C2×C4C2×H(5,𝔽2)11yescharacteristic
1488C8—21no—
1489C8—21no—
1490C8—21no—
1491C8—21no—
1492C8—21no—
1493C8—21no—
1494C8—21no—
1495C8—21no—
1496C8—41no—
1497C8—41no—
1498C8—41no—
1499C8—41no—
1500C8—41no—
1501C8—41no—
1502C8—41no—
1503C8—41no—
1504C8—41no—
1505C8—41no—
1506C22—21no—
1507C22—22no—
1508C22—21no—
1509C22—22no—
1510C22—21no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—164no—
1534C22—162no—
1535C22—164no—
1536C22C2×D4211yescharacteristic
1537C4—21no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—81no—
1552C4—81no—
1553C4—81no—
1554C4—81no—
1555C4—81no—
1556C4—81no—
1557C4C2×#57511yescharacteristic
1558C4C2×#57711yescharacteristic
1559C4#358511yescharacteristic
1560C4#358511yescharacteristic
1561C2—41no—
1562C2—42no—
1563C2—42no—
1564C2—81no—
1565C2—81no—
1566C2—81no—
1567C2—81no—
1568C2—161no—
1569C2—161no—
1570C2#6106611yescharacteristic
1571C2#6107111yescharacteristic
1572C2#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. #62128C2semidirect
2. #61599C2semidirect
3. #61451C2semidirect
4. #61209C2semidirect
5. #20294C2semidirect
6. #20260C2semidirect
7. #20196C2semidirect
8. #20179C2semidirect
9. #20175C2semidirect
10. #20070C2semidirect
11. #20042C2semidirect
12. #20042C2semidirect
13. #20022C2semidirect
14. #19987C2semidirect
15. #19915C2semidirect
16. #19891C2semidirect
17. #19792C2semidirect
18. #19772C2semidirect
19. #19771C2semidirect
20. #19766C2semidirect
21. #19724C2semidirect
22. #19481C2semidirect
23. #19462C2semidirect
24. #19370C2semidirect
25. #19317C2semidirect
26. #18857C2semidirect
27. #18826C2semidirect
28. #18799C2semidirect
29. #18755C2semidirect
30. #18050C2semidirect
31. #18007C2semidirect
32. #3506C22semidirect
33. #3499C22semidirect
38. #3384C22semidirect
39. #3384C22semidirect
41. #3373C22semidirect
42. #3373C22semidirect
48. #3335C22semidirect
49. #3335C22semidirect
51. #3330C22semidirect
52. #3329C22semidirect
53. #3329C22semidirect
54. #3329C22semidirect
66. #3305C22semidirect
69. #3303C22semidirect
70. #3298C22semidirect
71. #3298C22semidirect
74. #3294C22semidirect
75. #3294C22semidirect
76. #3284C22semidirect
79. #3276C22semidirect
84. #3253C22semidirect
87. #3227C22semidirect
88. #3227C22semidirect
89. #3214C22semidirect
90. #3210C22semidirect
91. #3210C22semidirect
96. #3139C22semidirect
106. #3076C22semidirect
109. C2×#461C22semidirect
113. #2990C22semidirect
114. #2974C22semidirect
118. #2935C22semidirect
120. #1720C22semidirect
121. #1720C22semidirect
122. #1717C22semidirect
123. #1717C22semidirect
124. #1716C22semidirect
125. #1716C22semidirect
126. #1708C22semidirect
127. #1708C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1704C22semidirect
133. #1701C22semidirect
134. #1700C22semidirect
135. #1700C22semidirect
136. #1698C22semidirect
137. #1697C22semidirect
138. #1691C22semidirect
139. #1691C22semidirect
140. #1691C22semidirect
141. #1690C22semidirect
142. #1687C22semidirect
143. #1686C22semidirect
144. #1683C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1681C22semidirect
148. #1681C22semidirect
149. #1681C22semidirect
150. #1679C22semidirect
151. #1679C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1671C22semidirect
155. #1671C22semidirect
156. #1671C22semidirect
157. #1669C22semidirect
158. #1667C22semidirect
159. #1665C22semidirect
162. #1654C22semidirect
163. #1654C22semidirect
164. #1651C22semidirect
165. #1651C22semidirect
166. #1651C22semidirect
167. #1651C22semidirect
168. #1644C22semidirect
169. #1643C22semidirect
170. #1642C22semidirect
171. #1642C22semidirect
172. #1640C22semidirect
175. #1639C22semidirect
176. #1635C22semidirect
177. #1635C22semidirect
178. #1634C22semidirect
179. #1634C22semidirect
180. #1632C22semidirect
181. #1632C22semidirect
182. #1630C22semidirect
183. #1629C22semidirect
184. #1627C22semidirect
185. #1627C22semidirect
187. #1625C22semidirect
188. #1625C22semidirect
189. #1625C22semidirect
191. #1624C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
197. #1586C22semidirect
198. #1585C22semidirect
199. #1585C22semidirect
200. #1582C22semidirect
201. #1582C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. #1580C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1573C22semidirect
209. #1569C22semidirect
210. #1559C22semidirect
211. #1556C22semidirect
212. #1551C22semidirect
213. #1547C22semidirect
214. #1496C22semidirect
215. #1488C22semidirect
216. #1486C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621282
#615992
#614512
#612092
#202942
#202602
#201962
#201792
#201752
#200702
#200422
#200222
#199872
#199152
#198912
#197922
#197722
#197712
#197662
#197242
#194812
#194622
#193702
#193172
#188572
#188262
#187992
#187552
#180502
#180072