Finite Group Databasebeta

← #6364277

Subgroups — #6364277

Order 512.

1666 conjugacy classes of subgroups.

The subgroup lattice has 1561 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62095C211yesmaximal, characteristic, complemented
2#61847C211yesmaximal, characteristic, complemented
3#61667C211yesmaximal, characteristic, complemented
4#61607C211yesmaximal, characteristic, complemented
5#20173C211yesmaximal, characteristic, complemented
6#20165C211yesmaximal, characteristic, complemented
7#20058C211yesmaximal, characteristic, complemented
8#20038C211yesmaximal, characteristic, complemented
9#20033C211yesmaximal, characteristic, complemented
10#20032C211yesmaximal, characteristic, complemented
11#19993C211yesmaximal, characteristic, complemented
12#19970C211yesmaximal, characteristic, complemented
13#19903C211yesmaximal, characteristic, complemented
14#19888C211yesmaximal, characteristic, complemented
15#19811C211yesmaximal, characteristic, complemented
16#19788C211yesmaximal, characteristic, complemented
17#19781C211yesmaximal, characteristic, complemented
18#19774C211yesmaximal, characteristic, complemented
19#19761C211yesmaximal, characteristic, complemented
20#19760C211yesmaximal, characteristic, complemented
21#19740C211yesmaximal, characteristic, complemented
22#19556C211yesmaximal, characteristic, complemented
23#19530C211yesmaximal, characteristic, complemented
24#19457C211yesmaximal, characteristic, complemented
25#19419C211yesmaximal, characteristic, complemented
26#18936C211yesmaximal, characteristic, complemented
27#18905C211yesmaximal, characteristic, complemented
28#18827C211yesmaximal, characteristic, complemented
29#18794C211yesmaximal, characteristic, complemented
30#18026C211yesmaximal, characteristic, complemented
31#17921C211yesmaximal, characteristic, complemented
32#3548C2211yescharacteristic, complemented
33#3501C2211yescharacteristic
34#3499C2211yescharacteristic
35D4×#41C2211yescharacteristic
36#3389—21no—
37#3389—21no—
38#3384C2211yescharacteristic
39#3384C2211yescharacteristic, complemented
40#3380C2211yescharacteristic
41#3380C2211yescharacteristic, complemented
42Q8×D8C2211yescharacteristic
43Q8×D8C2211yescharacteristic
44#3366—21no—
45#3366—21no—
46#3366C2211yescharacteristic
47#3366C2211yescharacteristic, complemented
48#3358C2211yescharacteristic
49#3358C2211yescharacteristic
50#3358C2211yescharacteristic
51#3358C2211yescharacteristic, complemented
52#3334—21no—
53#3334—21no—
54#3334C2211yescharacteristic
55#3334C2211yescharacteristic
56#3333C2211yescharacteristic
57#3331C2211yescharacteristic
58#3331C2211yescharacteristic, complemented
59#3331C2211yescharacteristic, complemented
60#3330—21no—
61#3316—21no—
62#3314—21no—
63#3299C2211yescharacteristic
64#3299C2211yescharacteristic, complemented
65#3299C2211yescharacteristic, complemented
66#3298—21no—
67#3295C2211yescharacteristic
68#3294—21no—
69#3294—21no—
70#3294C2211yescharacteristic
71#3294C2211yescharacteristic
72D4×Q16C2211yescharacteristic
73#3284C2211yescharacteristic, complemented
74#3284C2211yescharacteristic, complemented
75#3283—21no—
76D4×SD16C2211yescharacteristic
77#3278C2211yescharacteristic
78#3278C2211yescharacteristic, complemented
79#3278C2211yescharacteristic, complemented
80#3276—21no—
81#3276C2211yescharacteristic
82#3270—21no—
83#3266—21no—
84#3245—21no—
85#3245C2211yescharacteristic
86#3241—21no—
87#3241—21no—
88#3235C2211yescharacteristic, complemented
89#3230C2211yescharacteristic, complemented
90#3228C2211yescharacteristic, complemented
91#3226—21no—
92#3226C2211yescharacteristic
93#3216C2211yescharacteristic
94#3210C2211yescharacteristic
95#3209C2211yescharacteristic, complemented
96#3207C2211yescharacteristic
97#3206C2211yescharacteristic, complemented
98#3201—21no—
99#3201—21no—
100#3196—21no—
101#3190—21no—
102#3122—21no—
103#3122—21no—
104#3116C2211yescharacteristic
105#3109C2211yescharacteristic
106#3107C2211yescharacteristic
107#3106C2211yescharacteristic
108#3100—21no—
109#3100C2211yescharacteristic
110C2×#474—21no—
111C2×#474C2211yescharacteristic
112#3013—21no—
113#3013—21no—
114#3007—21no—
115C2×#452—21no—
116#2988C2211yescharacteristic
117#2985C2211yescharacteristic, complemented
118#2979C2211yescharacteristic, complemented
119#2974C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1719C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1710C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1702C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1694C2211yescharacteristic, complemented
135#1694C2211yescharacteristic, complemented
136#1689C2211yescharacteristic, complemented
137#1685C2211yescharacteristic, complemented
138#1685C2211yescharacteristic, complemented
139#1685C2211yescharacteristic, complemented
140#1683C2211yescharacteristic
141#1683C2211yescharacteristic
142#1683C2211yescharacteristic, complemented
143#1682C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1678C2211yescharacteristic, complemented
148#1677C2211yescharacteristic, complemented
149#1677C2211yescharacteristic, complemented
150#1676C2211yescharacteristic, complemented
151#1675C2211yescharacteristic, complemented
152#1674C2211yescharacteristic, complemented
153#1674C2211yescharacteristic, complemented
154#1672C2211yescharacteristic, complemented
155#1671C2211yescharacteristic, complemented
156#1669C2211yescharacteristic, complemented
157#1665C2211yescharacteristic
158#1665C2211yescharacteristic
159#1665C2211yescharacteristic, complemented
160#1649C2211yescharacteristic
161#1649C2211yescharacteristic
162#1649C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1649C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1647C2211yescharacteristic, complemented
167#1647C2211yescharacteristic, complemented
168#1644C2211yescharacteristic
169#1644C2211yescharacteristic
170#1644C2211yescharacteristic, complemented
171#1644C2211yescharacteristic, complemented
172#1644C2211yescharacteristic, complemented
173#1644C2211yescharacteristic, complemented
174#1641C2211yescharacteristic, complemented
175#1641C2211yescharacteristic, complemented
176#1637C2211yescharacteristic
177#1637C2211yescharacteristic, complemented
178#1637C2211yescharacteristic, complemented
179#1635C2211yescharacteristic
180#1635C2211yescharacteristic, complemented
181#1635C2211yescharacteristic, complemented
182#1631C2211yescharacteristic
183#1629C2211yescharacteristic
184#1627C2211yescharacteristic
185#1625C2211yescharacteristic
186#1622C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic
189#1621C2211yescharacteristic, complemented
190#1621C2211yescharacteristic, complemented
191#1619C2211yescharacteristic
192#1594C2211yescharacteristic, complemented
193#1589C2211yescharacteristic, complemented
194#1587C2211yescharacteristic, complemented
195#1586C2211yescharacteristic
196#1586C2211yescharacteristic, complemented
197#1585C2211yescharacteristic, complemented
198#1584C2211yescharacteristic, complemented
199#1582C2211yescharacteristic, complemented
200#1581C2211yescharacteristic
201#1581C2211yescharacteristic, complemented
202#1580C2211yescharacteristic
203#1579C2211yescharacteristic, complemented
204SD16⋊C8C2211yescharacteristic, complemented
205C8×Q16C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic
208#1573C2211yescharacteristic, complemented
209#1572C2211yescharacteristic, complemented
210#1556C2211yescharacteristic, complemented
211#1553C2211yescharacteristic
212#1551C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1496C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1481C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1454C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C22×#41—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×#137—21no—
224C2×#137—21no—
225C2×#135—21no—
226C2×#135—21no—
227C22×Q16—21no—
228C22×SD16—21no—
229#562—41no—
230#554—21no—
231#554—21no—
232#554—21no—
233#554—21no—
234#554—41no—
235#554C2311yescharacteristic
236#554C2311yescharacteristic
237#554C2311yescharacteristic
238#554C2311yescharacteristic
239#550—21no—
240#550C2311yescharacteristic
241#550C2311yescharacteristic
242#550C2311yescharacteristic
243D4×Q8—21no—
244D4×Q8—21no—
245D4×Q8C2311yescharacteristic
246D4×Q8C2311yescharacteristic
247D4×Q8C2311yescharacteristic
248D4×Q8C2311yescharacteristic
249D4×Q8C2311yescharacteristic
250#548—21no—
251#547—21no—
252#547—21no—
253#547—21no—
254#547—21no—
255#547—21no—
256#547—21no—
257#547—41no—
258#547C2311yescharacteristic
259#547C2311yescharacteristic
260#547C2311yescharacteristic
261#546—21no—
262#546—41no—
263D42—21no—
264D42C2311yescharacteristic
265#544—21no—
266#543—41no—
267#540—21no—
268#540—21no—
269#537—21no—
270#537—21no—
271#537—41no—
272#536—21no—
273#536—41no—
274#533C2311yescharacteristic
275#533C2311yescharacteristic
276#532—21no—
277#532—21no—
278#532C2311yescharacteristic
279#532C2311yescharacteristic
280#532C2311yescharacteristic
281C2×C4⋊Q8—21no—
282C2×C4⋊Q8C2311yescharacteristic
283#525—21no—
284#525—41no—
285C2×C22⋊Q8—21no—
286C2×C22⋊Q8—21no—
287#518—21no—
288C4×#41C2311yescharacteristic
289C2×C4×D4—21no—
290C2×C4×D4C2311yescharacteristic
291#501—21no—
292#501—21no—
293#501—21no—
294#500—21no—
295#500—21no—
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#500C2311yescharacteristic
300#500C2311yescharacteristic
301#499—21no—
302#499—21no—
303#498C2311yescharacteristic
304#497—21no—
305#494—21no—
306#494C2311yescharacteristic
307#493C2311yescharacteristic
308#492C2311yescharacteristic
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#490—21no—
313#490—21no—
314#490—21no—
315#489—21no—
316#487—21no—
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#486—21no—
324#486—21no—
325#486—21no—
326#486—21no—
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#485—21no—
334#485D411yescharacteristic
335#485D411yescharacteristic
336#484—21no—
337#484—21no—
338#484—21no—
339#484—41no—
340#483—21no—
341#483—21no—
342#483—21no—
343#482—21no—
344#482—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#481—21no—
349#481—21no—
350#480—21no—
351#480—21no—
352#480—21no—
353#480—21no—
354#480—21no—
355#480—21no—
356#480—21no—
357#480—21no—
358#480—21no—
359#480D411yescharacteristic
360#480D411yescharacteristic
361#478—21no—
362#478—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#477—41no—
372#477C2311yescharacteristic
373#477C2311yescharacteristic
374#476—21no—
375#476—21no—
376#476C2311yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#476C2311yescharacteristic
382#475D411yescharacteristic
383#474—21no—
384#474—21no—
385#474—21no—
386#474—21no—
387#474—21no—
388#474—21no—
389#474—21no—
390#474—21no—
391#474—21no—
392#474—21no—
393#474—21no—
394#474—21no—
395#474—21no—
396#474D411yescharacteristic
397#474D411yescharacteristic
398#474D411yescharacteristic
399#474C2311yescharacteristic
400#474C2311yescharacteristic
401#474C2311yescharacteristic
402#474C2311yescharacteristic
403#474C2311yescharacteristic
404#474C2311yescharacteristic
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#470—21no—
408#470—21no—
409#470—21no—
410#470—21no—
411#468—21no—
412#468—21no—
413#468—21no—
414#468—21no—
415#467—21no—
416#467—21no—
417#467—21no—
418#467—21no—
419#466—21no—
420#466—21no—
421#466—21no—
422#466—21no—
423#466—21no—
424#466—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#465—21no—
429#464—21no—
430#464—21no—
431#463—41no—
432#462D411yescharacteristic
433#462C2311yescharacteristic
434#462C2311yescharacteristic
435#462C2311yescharacteristic
436#462C2311yescharacteristic
437#462C2311yescharacteristic
438#462C2311yescharacteristic
439#462C2311yescharacteristic
440#461—21no—
441#461—21no—
442#461D411yescharacteristic
443#461C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#460C2311yescharacteristic
447#459—21no—
448#459—21no—
449#459—21no—
450#459—21no—
451#459—21no—
452#459—21no—
453#459—21no—
454#459D411yescharacteristic
455#459D411yescharacteristic
456#459C2311yescharacteristic
457#459C2311yescharacteristic
458#459C2311yescharacteristic
459#459C2311yescharacteristic
460#459C2311yescharacteristic
461#452—21no—
462#452—21no—
463#452—21no—
464#452—21no—
465#452—21no—
466#452—21no—
467#452—21no—
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452—21no—
475#452—21no—
476#452D411yescharacteristic
477#452D411yescharacteristic
478#451—21no—
479#451—21no—
480#451—21no—
481#451—21no—
482#451—21no—
483#451—21no—
484#451—21no—
485#451—21no—
486#450—21no—
487#450—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—41no—
492#448—21no—
493#448—21no—
494#448—21no—
495#448—21no—
496#448—21no—
497#448—21no—
498#447—21no—
499#447—21no—
500#447—21no—
501#447D411yescharacteristic
502#447D411yescharacteristic
503#446—21no—
504#446—21no—
505#446C2311yescharacteristic
506#446C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508C8×Q8C2311yescharacteristic
509C8×Q8C2311yescharacteristic
510C8×Q8C2311yescharacteristic
511#442—21no—
512#442—21no—
513#442—21no—
514#442—21no—
515#442—21no—
516#442—21no—
517#441—21no—
518#440—21no—
519C4×Q16C2311yescharacteristic
520C4×Q16C2311yescharacteristic
521C4×SD16—21no—
522C4×SD16C2311yescharacteristic
523C4×SD16C2311yescharacteristic
524C4×D8—21no—
525C4×D8—21no—
526C4×D8—21no—
527C4×D8—21no—
528C4×D8—21no—
529C4×D8—21no—
530C4×D8—21no—
531C4×D8—21no—
532C4×D8—21no—
533C4×D8C2311yescharacteristic
534C4×D8C2311yescharacteristic
535C4×D8C2311yescharacteristic
536C4×D8C2311yescharacteristic
537#436—21no—
538#436C2311yescharacteristic
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#435—21no—
543#435—21no—
544C8×D4—21no—
545C8×D4—21no—
546C8×D4—21no—
547C8×D4C2311yescharacteristic
548C8×D4C2311yescharacteristic
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553#433—21no—
554#433—21no—
555#432C2311yescharacteristic
556#432C2311yescharacteristic
557#431—21no—
558#431C2311yescharacteristic
559#431C2311yescharacteristic
560#431C2311yescharacteristic
561#431C2311yescharacteristic
562C2×#107—21no—
563C2×#107—21no—
564C2×#107—21no—
565C2×C4⋊C8—21no—
566C2×C4⋊C8C2311yescharacteristic
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571C2×#103—21no—
572C2×#103—21no—
573C2×#103—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578#408—21no—
579#408—21no—
580#407—21no—
581C2×C22⋊C8—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
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
625C82C2311yescharacteristic
6262−1+4—82no—
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—41no—
643C2×#41—82no—
644C2×#41—82no—
645C2×#41C2×D411yescharacteristic
646C22×Q8—21no—
647C22×Q8—21no—
648C22×Q8—21no—
649C22×Q8—21no—
650C22×Q8—21no—
651C22×Q8—21no—
652C22×Q8—41no—
653C22×D4—21no—
654C22×D4—21no—
655C22×D4—41no—
656C22×D4C2×D411yescharacteristic
657C23×C4—21no—
658C23×C4—41no—
659#137—82no—
660#137—82no—
661#137—82no—
662#137—82no—
663#135—82no—
664#135—82no—
665C2×Q16—21no—
666C2×Q16—21no—
667C2×Q16—21no—
668C2×Q16—21no—
669C2×Q16—21no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—21no—
674C2×Q16—82no—
675C2×Q16C2×D411yescharacteristic
676C2×Q16C2×D411yescharacteristic
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—41no—
688C2×SD16—82no—
689C2×SD16C2×D411yescharacteristic
690C2×SD16C2×D411yescharacteristic
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—41no—
697C2×D8C2×D411yescharacteristic
698C2×D8C2×D411yescharacteristic
699C2×D8C2×D411yescharacteristic
700C2×D8C2×D411yescharacteristic
701C2×M16—21no—
702C2×M16—21no—
703C2×M16—21no—
704C2×M16—21no—
705C22×C8—21no—
706C22×C8—21no—
707C22×C8—21no—
708C22×C8—21no—
709C22×C8—21no—
710C22×C8—21no—
711C22×C8—21no—
712C4⋊Q8—21no—
713C4⋊Q8—21no—
714C4⋊Q8—21no—
715C4⋊Q8—21no—
716C4⋊Q8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—41no—
721C4⋊Q8—41no—
722C4⋊Q8—41no—
723C4⋊Q8C2×D411yescharacteristic
724C4⋊Q8C2×D411yescharacteristic
725C4⋊Q8C2×D411yescharacteristic
726C4⋊Q8C2411yescharacteristic
727C4⋊Q8C2411yescharacteristic
728C4⋊Q8C2411yescharacteristic
729C4⋊Q8C2411yescharacteristic
730C4⋊Q8C2411yescharacteristic
731C4⋊Q8C2411yescharacteristic
732#127—21no—
733#127—21no—
734#127—21no—
735#127C2×D411yescharacteristic
736#127C2411yescharacteristic
737#127C2411yescharacteristic
738#125—21no—
739#125—21no—
740#125—21no—
741#125—21no—
742#125—21no—
743#125—21no—
744#125—41no—
745#124—21no—
746#124—21no—
747#124—21no—
748#124—41no—
749#124—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—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762#123—41no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—21no—
772C22⋊Q8—21no—
773C22⋊Q8—21no—
774C22⋊Q8—21no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8—41no—
785C22⋊Q8—41no—
786C22⋊Q8—41no—
787C22⋊Q8—41no—
788C22⋊Q8—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8—41no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8C2×D411yescharacteristic
802C22⋊Q8C2×D411yescharacteristic
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121C2×D411yescharacteristic
830#121C2×D411yescharacteristic
831#120—41no—
832#120—41no—
833#120—41no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8C2×D411yescharacteristic
838C4×Q8C2411yescharacteristic
839C4×Q8C2411yescharacteristic
840C4×Q8C2411yescharacteristic
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—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—41no—
863C4×D4—41no—
864C4×D4—41no—
865C4×D4—41no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4C2×D411yescharacteristic
869C4×D4C2×D411yescharacteristic
870C4×D4C2×D411yescharacteristic
871C4×D4C2411yescharacteristic
872C4×D4C2411yescharacteristic
873C4×D4C2411yescharacteristic
874C4×D4C2411yescharacteristic
875C4×D4C2411yescharacteristic
876#117—21no—
877#117—21no—
878#117—21no—
879#117C2×D411yescharacteristic
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—21no—
883C2×C4⋊C4—21no—
884C2×C4⋊C4—21no—
885C2×C4⋊C4—21no—
886C2×C4⋊C4—21no—
887C2×C4⋊C4—21no—
888C2×C4⋊C4—21no—
889C2×C4⋊C4—41no—
890C2×C4⋊C4—41no—
891C2×C4⋊C4—41no—
892C2×C4⋊C4—41no—
893C2×C4⋊C4C2×D411yescharacteristic
894C2×C22⋊C4—21no—
895C2×C22⋊C4—41no—
896C2×C22⋊C4—41no—
897C2×C22⋊C4—41no—
898C2×C42—21no—
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#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—41no—
917#107—41no—
918#107C2×D411yescharacteristic
919#107C2×D411yescharacteristic
920#107C2×D411yescharacteristic
921#107C2×D411yescharacteristic
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934C4⋊C8—21no—
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⋊C8C2×D411yescharacteristic
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
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—41no—
971#103—41no—
972#103—41no—
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
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—21no—
1009#102—21no—
1010#102—21no—
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
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
1038C22⋊C8C2×D411yescharacteristic
1039C22⋊C8C2×D411yescharacteristic
1040#97—21no—
1041#97—21no—
1042#97—21no—
1043#97—21no—
1044C4×C8—21no—
1045C4×C8—21no—
1046C4×C8—21no—
1047C4×C8—21no—
1048C4×C8—21no—
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C24—21no—
1056C24—41no—
1057#41—22no—
1058#41—22no—
1059#41—42no—
1060#41—42no—
1061#41—42no—
1062#41—42no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—84no—
1068#41—84no—
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—84no—
1079#41—84no—
1080#41—161no—
1081#41—162no—
1082C2×Q8—21no—
1083C2×Q8—21no—
1084C2×Q8—21no—
1085C2×Q8—21no—
1086C2×Q8—21no—
1087C2×Q8—21no—
1088C2×Q8—21no—
1089C2×Q8—21no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—41no—
1093C2×Q8—41no—
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—81no—
1100C2×Q8—81no—
1101C2×Q8—84no—
1102C2×Q8—81no—
1103C2×Q8—81no—
1104C2×Q8—81no—
1105C2×Q8—81no—
1106C2×Q8—81no—
1107C2×Q8—81no—
1108C2×Q8—81no—
1109C2×Q8C22×D411yescharacteristic
1110C2×Q8C22×D411yescharacteristic
1111C2×Q8C22×D411yescharacteristic
1112C2×D4—21no—
1113C2×D4—22no—
1114C2×D4—21no—
1115C2×D4—21no—
1116C2×D4—21no—
1117C2×D4—21no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—21no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—84no—
1144C2×D4C22×D411yescharacteristic
1145C2×D4C22×D411yescharacteristic
1146C2×D4C22×D411yescharacteristic
1147C2×D4C22×D411yescharacteristic
1148C2×D4C22×D411yescharacteristic
1149C22×C4—21no—
1150C22×C4—21no—
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—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
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—81no—
1178C22×C4—81no—
1179C22×C4—84no—
1180C22×C4C22×D411yescharacteristic
1181C22×C4C22×D411yescharacteristic
1182C22×C4H(5,𝔽2)11yescharacteristic
1183Q16—22no—
1184Q16—22no—
1185Q16—42no—
1186Q16—81no—
1187Q16—81no—
1188Q16—81no—
1189Q16—81no—
1190Q16—81no—
1191Q16—81no—
1192Q16—81no—
1193Q16—81no—
1194SD16—22no—
1195SD16—22no—
1196SD16—42no—
1197SD16—42no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201SD16—81no—
1202SD16—81no—
1203SD16—81no—
1204SD16—81no—
1205SD16—81no—
1206SD16—161no—
1207D8—22no—
1208D8—22no—
1209D8—41no—
1210D8—41no—
1211D8—42no—
1212D8—42no—
1213D8—42no—
1214D8—81no—
1215D8—81no—
1216D8—161no—
1217M16—81no—
1218M16—81no—
1219M16—81no—
1220M16—81no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—21no—
1224C2×C8—21no—
1225C2×C8—21no—
1226C2×C8—21no—
1227C2×C8—21no—
1228C2×C8—21no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—81no—
1232C2×C8—81no—
1233C2×C8—81no—
1234C2×C8—81no—
1235C2×C8—81no—
1236C2×C8—81no—
1237C2×C8—81no—
1238C2×C8C22×D411yescharacteristic
1239C2×C8C22×D411yescharacteristic
1240C2×C8C22×D411yescharacteristic
1241C2×C8C22×D411yescharacteristic
1242C2×C8C22×D411yescharacteristic
1243C2×C8C22×D411yescharacteristic
1244C2×C8C22×D411yescharacteristic
1245C2×C8C22×D411yescharacteristic
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—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—41no—
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⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C4⋊C4C22×D411yescharacteristic
1293C4⋊C4C22×D411yescharacteristic
1294C4⋊C4C22×D411yescharacteristic
1295C4⋊C4C22×D411yescharacteristic
1296C4⋊C4C22×D411yescharacteristic
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—21no—
1309C22⋊C4—21no—
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—
1331C42—21no—
1332C42—21no—
1333C42—21no—
1334C42—21no—
1335C42—21no—
1336C42—41no—
1337C42C22×D411yescharacteristic
1338C42C22×D411yescharacteristic
1339C42H(5,𝔽2)11yescharacteristic
1340C42C2511yescharacteristic
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—42no—
1347C23—41no—
1348C23—41no—
1349C23—81no—
1350C23—81no—
1351C23—82no—
1352C23—82no—
1353C23—161no—
1354C23D4211yescharacteristic
1355Q8—21no—
1356Q8—21no—
1357Q8—21no—
1358Q8—21no—
1359Q8—21no—
1360Q8—41no—
1361Q8—41no—
1362Q8—41no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—81no—
1369Q8—81no—
1370Q8—82no—
1371Q8—82no—
1372Q8—82no—
1373Q8—81no—
1374Q8—81no—
1375Q8—82no—
1376Q8—161no—
1377Q8—161no—
1378Q8#57612yes—
1379D4—24no—
1380D4—21no—
1381D4—21no—
1382D4—21no—
1383D4—21no—
1384D4—21no—
1385D4—21no—
1386D4—21no—
1387D4—21no—
1388D4—42no—
1389D4—42no—
1390D4—41no—
1391D4—41no—
1392D4—41no—
1393D4—41no—
1394D4—41no—
1395D4—41no—
1396D4—41no—
1397D4—41no—
1398D4—81no—
1399D4—82no—
1400D4—81no—
1401D4—81no—
1402D4—81no—
1403D4—81no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—161no—
1411D4—161no—
1412D4—161no—
1413D4—161no—
1414D4—161no—
1415D4—161no—
1416D4#57612yes—
1417D4#57812yes—
1418C2×C4—24no—
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—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
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—41no—
1451C2×C4—81no—
1452C2×C4—81no—
1453C2×C4—81no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4—81no—
1461C2×C4—82no—
1462C2×C4—82no—
1463C2×C4—82no—
1464C2×C4—82no—
1465C2×C4—161no—
1466C2×C4—161no—
1467C2×C4—161no—
1468C2×C4—161no—
1469C2×C4—161no—
1470C2×C4—161no—
1471C2×C4—161no—
1472C2×C4—161no—
1473C2×C4D4211yescharacteristic
1474C2×C4D4211yescharacteristic
1475C2×C4D4211yescharacteristic
1476C2×C4C23×D411yescharacteristic
1477C2×C4C23×D411yescharacteristic
1478C2×C4C2×H(5,𝔽2)11yescharacteristic
1479C8—21no—
1480C8—21no—
1481C8—21no—
1482C8—21no—
1483C8—21no—
1484C8—21no—
1485C8—21no—
1486C8—21no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C8—41no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C22—21no—
1498C22—22no—
1499C22—21no—
1500C22—22no—
1501C22—21no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—162no—
1522C22—164no—
1523C22C2×D4211yescharacteristic
1524C4—21no—
1525C4—22no—
1526C4—21no—
1527C4—21no—
1528C4—21no—
1529C4—41no—
1530C4—41no—
1531C4—41no—
1532C4—41no—
1533C4—41no—
1534C4—41no—
1535C4—41no—
1536C4—41no—
1537C4—41no—
1538C4—41no—
1539C4—81no—
1540C4—81no—
1541C4—81no—
1542C4—81no—
1543C4—81no—
1544C4—81no—
1545C4C2×#57611yescharacteristic
1546C4C2×#57611yescharacteristic
1547C4C2×#57811yescharacteristic
1548C4#358611yescharacteristic
1549C2—41no—
1550C2—42no—
1551C2—42no—
1552C2—81no—
1553C2—81no—
1554C2—81no—
1555C2—161no—
1556C2—161no—
1557C2#6104911yescharacteristic
1558C2#6107611yescharacteristic
1559C2#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. #62095C2semidirect
2. #61847C2semidirect
3. #61667C2semidirect
4. #61607C2semidirect
5. #20173C2semidirect
6. #20165C2semidirect
7. #20058C2semidirect
8. #20038C2semidirect
9. #20033C2semidirect
10. #20032C2semidirect
11. #19993C2semidirect
12. #19970C2semidirect
13. #19903C2semidirect
14. #19888C2semidirect
15. #19811C2semidirect
16. #19788C2semidirect
17. #19781C2semidirect
18. #19774C2semidirect
19. #19761C2semidirect
20. #19760C2semidirect
21. #19740C2semidirect
22. #19556C2semidirect
23. #19530C2semidirect
24. #19457C2semidirect
25. #19419C2semidirect
26. #18936C2semidirect
27. #18905C2semidirect
28. #18827C2semidirect
29. #18794C2semidirect
30. #18026C2semidirect
31. #17921C2semidirect
32. #3548C22semidirect
39. #3384C22semidirect
41. #3380C22semidirect
47. #3366C22semidirect
51. #3358C22semidirect
58. #3331C22semidirect
59. #3331C22semidirect
64. #3299C22semidirect
65. #3299C22semidirect
73. #3284C22semidirect
74. #3284C22semidirect
78. #3278C22semidirect
79. #3278C22semidirect
88. #3235C22semidirect
89. #3230C22semidirect
90. #3228C22semidirect
95. #3209C22semidirect
97. #3206C22semidirect
117. #2985C22semidirect
118. #2979C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1719C22semidirect
123. #1719C22semidirect
124. #1717C22semidirect
125. #1714C22semidirect
126. #1710C22semidirect
127. #1706C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1702C22semidirect
132. #1702C22semidirect
133. #1697C22semidirect
134. #1694C22semidirect
135. #1694C22semidirect
136. #1689C22semidirect
137. #1685C22semidirect
138. #1685C22semidirect
139. #1685C22semidirect
142. #1683C22semidirect
143. #1682C22semidirect
144. #1682C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1678C22semidirect
148. #1677C22semidirect
149. #1677C22semidirect
150. #1676C22semidirect
151. #1675C22semidirect
152. #1674C22semidirect
153. #1674C22semidirect
154. #1672C22semidirect
155. #1671C22semidirect
156. #1669C22semidirect
159. #1665C22semidirect
162. #1649C22semidirect
163. #1649C22semidirect
164. #1649C22semidirect
165. #1649C22semidirect
166. #1647C22semidirect
167. #1647C22semidirect
170. #1644C22semidirect
171. #1644C22semidirect
172. #1644C22semidirect
173. #1644C22semidirect
174. #1641C22semidirect
175. #1641C22semidirect
177. #1637C22semidirect
178. #1637C22semidirect
180. #1635C22semidirect
181. #1635C22semidirect
186. #1622C22semidirect
187. #1622C22semidirect
189. #1621C22semidirect
190. #1621C22semidirect
192. #1594C22semidirect
193. #1589C22semidirect
194. #1587C22semidirect
196. #1586C22semidirect
197. #1585C22semidirect
198. #1584C22semidirect
199. #1582C22semidirect
201. #1581C22semidirect
203. #1579C22semidirect
204. SD16⋊C8C22semidirect
205. C8×Q16C22semidirect
206. C8×SD16C22semidirect
208. #1573C22semidirect
209. #1572C22semidirect
210. #1556C22semidirect
212. #1551C22semidirect
213. #1542C22semidirect
214. #1496C22semidirect
216. #1481C22semidirect
218. #1454C22semidirect

Maximal subgroups

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

subgroupindex
#620952
#618472
#616672
#616072
#201732
#201652
#200582
#200382
#200332
#200322
#199932
#199702
#199032
#198882
#198112
#197882
#197812
#197742
#197612
#197602
#197402
#195562
#195302
#194572
#194192
#189362
#189052
#188272
#187942
#180262
#179212