Finite Group Databasebeta

← #6369263

Subgroups — #6369263

Order 512.

1727 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#62151C211yesmaximal, characteristic
2#61837C211yesmaximal, characteristic, complemented
3#61544C211yesmaximal, characteristic, complemented
4D4×#137C211yesmaximal, characteristic, complemented
5#20311C211yesmaximal, characteristic, complemented
6#20227C211yesmaximal, characteristic, complemented
7#20176C211yesmaximal, characteristic, complemented
8#20168C211yesmaximal, characteristic, complemented
9#20167C211yesmaximal, characteristic, complemented
10#20089C211yesmaximal, characteristic, complemented
11#20086C211yesmaximal, characteristic, complemented
12#20062C211yesmaximal, characteristic, complemented
13#20060C211yesmaximal, characteristic, complemented
14D8×Q16C211yesmaximal, characteristic, complemented
15#19910C211yesmaximal, characteristic, complemented
16#19896C211yesmaximal, characteristic, complemented
17#19821C211yesmaximal, characteristic, complemented
18#19812C211yesmaximal, characteristic, complemented
19#19769C211yesmaximal, characteristic, complemented
20#19761C211yesmaximal, characteristic, complemented
21#19731C211yesmaximal, characteristic, complemented
22#19502C211yesmaximal, characteristic, complemented
23#19479C211yesmaximal, characteristic, complemented
24#19377C211yesmaximal, characteristic, complemented
25#19307C211yesmaximal, characteristic, complemented
26#18860C211yesmaximal, characteristic, complemented
27#18824C211yesmaximal, characteristic, complemented
28#18806C211yesmaximal, characteristic, complemented
29#18759C211yesmaximal, characteristic, complemented
30#18053C211yesmaximal, characteristic, complemented
31#18006C211yesmaximal, characteristic, complemented
32C22×#137—21no—
33#3523C2211yescharacteristic, complemented
34#3518C2211yescharacteristic
35D4×#41C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic
37#3398C2211yescharacteristic, complemented
38#3387C2211yescharacteristic, complemented
39#3386—21no—
40#3386—21no—
41#3386C2211yescharacteristic
42#3386C2211yescharacteristic, complemented
43Q8×SD16C2211yescharacteristic
44Q8×D8C2211yescharacteristic
45Q8×D8C2211yescharacteristic
46Q8×D8C2211yescharacteristic, complemented
47#3367—21no—
48#3367—21no—
49#3367C2211yescharacteristic
50#3367C2211yescharacteristic, complemented
51#3364C2211yescharacteristic, complemented
52#3363C2211yescharacteristic, complemented
53#3362C2211yescharacteristic
54#3359C2211yescharacteristic
55#3359C2211yescharacteristic, complemented
56#3358C2211yescharacteristic
57#3354—21no—
58#3354C2211yescharacteristic
59#3353—21no—
60#3353C2211yescharacteristic
61#3349—21no—
62#3340C2211yescharacteristic, complemented
63#3329C2211yescharacteristic, complemented
64#3328—21no—
65#3328C2211yescharacteristic, complemented
66#3327—21no—
67#3325—21no—
68#3325C2211yescharacteristic
69#3324—21no—
70#3324C2211yescharacteristic
71D4×Q16C2211yescharacteristic
72D4×Q16C2211yescharacteristic
73D4×Q16C2211yescharacteristic, complemented
74D4×SD16C2211yescharacteristic
75D4×SD16C2211yescharacteristic
76#3278C2211yescharacteristic
77#3278C2211yescharacteristic
78#3276C2211yescharacteristic
79#3276C2211yescharacteristic
80#3270—21no—
81#3270—21no—
82#3270—21no—
83#3266—21no—
84#3266—21no—
85#3251—21no—
86#3251C2211yescharacteristic
87#3239—21no—
88#3239C2211yescharacteristic, complemented
89#3230—21no—
90#3230C2211yescharacteristic, complemented
91#3230C2211yescharacteristic, complemented
92#3228—21no—
93#3228C2211yescharacteristic
94#3228C2211yescharacteristic
95#3185C2211yescharacteristic, complemented
96#3178—21no—
97#3152C2211yescharacteristic
98#3127—21no—
99#3121—21no—
100#3110—21no—
101#3110C2211yescharacteristic
102#3107C2211yescharacteristic
103#3105—21no—
104#3105—21no—
105#3105C2211yescharacteristic
106#3104C2211yescharacteristic, complemented
107#3077—21no—
108#3077C2211yescharacteristic
109#3056—21no—
110#3039C2211yescharacteristic
111#3037C2211yescharacteristic
112#3007—21no—
113#3004—21no—
114#2991C2211yescharacteristic
115#2984C2211yescharacteristic, complemented
116#2969C2211yescharacteristic, complemented
117#2950—21no—
118C4×#137C2211yescharacteristic
119D4×M16C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1723C2211yescharacteristic, complemented
122#1722C2211yescharacteristic, complemented
123#1719C2211yescharacteristic, complemented
124#1719C2211yescharacteristic, complemented
125#1716C2211yescharacteristic, complemented
126#1713C2211yescharacteristic, complemented
127#1708C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1699C2211yescharacteristic, complemented
131#1699C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1698C2211yescharacteristic, complemented
134#1694C2211yescharacteristic, complemented
135#1693C2211yescharacteristic, complemented
136#1693C2211yescharacteristic, complemented
137#1692C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1690C2211yescharacteristic, complemented
140#1689C2211yescharacteristic, complemented
141#1689C2211yescharacteristic, complemented
142#1686C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic
145#1682C2211yescharacteristic, complemented
146#1680C2211yescharacteristic, complemented
147#1680C2211yescharacteristic, complemented
148#1679C2211yescharacteristic
149#1678C2211yescharacteristic, complemented
150#1674C2211yescharacteristic, complemented
151#1674C2211yescharacteristic, complemented
152#1674C2211yescharacteristic, complemented
153#1672C2211yescharacteristic, complemented
154#1671C2211yescharacteristic
155#1670C2211yescharacteristic, complemented
156#1669C2211yescharacteristic
157#1669C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic
161#1653C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1651C2211yescharacteristic
164#1650C2211yescharacteristic, complemented
165#1650C2211yescharacteristic, complemented
166#1649C2211yescharacteristic
167#1649C2211yescharacteristic
168#1649C2211yescharacteristic
169#1649C2211yescharacteristic, complemented
170#1649C2211yescharacteristic, complemented
171#1649C2211yescharacteristic, complemented
172#1649C2211yescharacteristic, complemented
173#1649C2211yescharacteristic, complemented
174#1648C2211yescharacteristic, complemented
175#1647C2211yescharacteristic
176#1646C2211yescharacteristic, complemented
177#1646C2211yescharacteristic, complemented
178#1645C2211yescharacteristic, complemented
179#1645C2211yescharacteristic, complemented
180#1642C2211yescharacteristic
181#1641C2211yescharacteristic
182#1639C2211yescharacteristic
183#1639C2211yescharacteristic
184#1637C2211yescharacteristic
185#1637C2211yescharacteristic
186#1637C2211yescharacteristic, complemented
187#1637C2211yescharacteristic, complemented
188#1628C2211yescharacteristic, complemented
189#1627C2211yescharacteristic, complemented
190#1626C2211yescharacteristic, complemented
191#1626C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1587C2211yescharacteristic, complemented
199#1586C2211yescharacteristic
200#1584C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic
203#1581C2211yescharacteristic, complemented
204#1579C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic
206C8×Q16C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic
208#1574C2211yescharacteristic, complemented
209#1569C2211yescharacteristic, complemented
210#1561C2211yescharacteristic, complemented
211#1559C2211yescharacteristic, complemented
212#1553C2211yescharacteristic
213#1549C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic
216#1487C2211yescharacteristic, complemented
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C23×Q8—21no—
221C2×#137—21no—
222C2×#137—21no—
223C2×#137—21no—
224C2×#137—21no—
225C2×#137—21no—
226C2×#137—21no—
227C2×#137—21no—
228C2×#137—21no—
229C2×#137—48no—
230C2×#137D411yescharacteristic
231C22×Q16—21no—
232C22×Q16—21no—
233C22×Q16—21no—
234C22×SD16—21no—
235C22×SD16—21no—
236C22×M16—21no—
237Q82C2311yescharacteristic
238#557—21no—
239#557C2311yescharacteristic
240#557C2311yescharacteristic
241#556—21no—
242#556—21no—
243#556—21no—
244#556—41no—
245#556C2311yescharacteristic
246#556C2311yescharacteristic
247#555—21no—
248#555C2311yescharacteristic
249#552—21no—
250#552—41no—
251#550C2311yescharacteristic
252D4×Q8—21no—
253D4×Q8—21no—
254D4×Q8—21no—
255D4×Q8—21no—
256D4×Q8—21no—
257D4×Q8—41no—
258D4×Q8C2311yescharacteristic
259D4×Q8C2311yescharacteristic
260D4×Q8C2311yescharacteristic
261D4×Q8C2311yescharacteristic
262D4×Q8C2311yescharacteristic
263D4×Q8C2311yescharacteristic
264D4×Q8C2311yescharacteristic
265#548—21no—
266#548—21no—
267#547—21no—
268#547C2311yescharacteristic
269#546—21no—
270#546—41no—
271D42—21no—
272D42C2311yescharacteristic
273#542—21no—
274#542—41no—
275#541—21no—
276#541—41no—
277#533—21no—
278#533—21no—
279#533C2311yescharacteristic
280#533C2311yescharacteristic
281#532—21no—
282#532C2311yescharacteristic
283C2×C4⋊Q8—21no—
284C2×C4⋊Q8C2311yescharacteristic
285#529—21no—
286#529—21no—
287#529C2311yescharacteristic
288#525—21no—
289#525—41no—
290C2×C22⋊Q8—21no—
291C2×C22⋊Q8—41no—
292#519—21no—
293#519—21no—
294C4×#41C2311yescharacteristic
295C2×C4×Q8C2311yescharacteristic
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4C2311yescharacteristic
299#501—21no—
300#501—21no—
301#501—21no—
302#501—21no—
303#500—21no—
304#500—21no—
305#500—21no—
306#500C2311yescharacteristic
307#500C2311yescharacteristic
308#500C2311yescharacteristic
309#500C2311yescharacteristic
310#500C2311yescharacteristic
311#500C2311yescharacteristic
312#498—21no—
313#498C2311yescharacteristic
314#498C2311yescharacteristic
315#498C2311yescharacteristic
316#497—21no—
317#497—21no—
318#497—21no—
319#494C2311yescharacteristic
320#494C2311yescharacteristic
321#494C2311yescharacteristic
322#492C2311yescharacteristic
323#492C2311yescharacteristic
324#489—21no—
325#489—21no—
326#489—21no—
327#488—21no—
328#487—21no—
329#487—21no—
330#487—21no—
331#487C2311yescharacteristic
332#487C2311yescharacteristic
333#487C2311yescharacteristic
334#487C2311yescharacteristic
335#487C2311yescharacteristic
336#487C2311yescharacteristic
337#486—21no—
338#486—21no—
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#485—21no—
344#485—21no—
345#485—21no—
346#485—21no—
347#484—21no—
348#484—21no—
349#484—21no—
350#484—21no—
351#484—21no—
352#484—21no—
353#484—41no—
354#484D411yescharacteristic
355#482—21no—
356#482—21no—
357#482—21no—
358#482—21no—
359#482—21no—
360#482—21no—
361#482—21no—
362#482—41no—
363#481—21no—
364#481—21no—
365#481D411yescharacteristic
366#479—21no—
367#479—21no—
368#478—21no—
369#478—21no—
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—41no—
376#478D411yescharacteristic
377#478D411yescharacteristic
378#477—21no—
379#477—21no—
380#477—21no—
381#477—21no—
382#477—21no—
383#477—21no—
384#477—21no—
385#477—41no—
386#477C2311yescharacteristic
387#477C2311yescharacteristic
388#476—21no—
389#476—21no—
390#476C2311yescharacteristic
391#476C2311yescharacteristic
392#475—21no—
393#475—21no—
394#475—21no—
395#475—21no—
396#475C2311yescharacteristic
397#475C2311yescharacteristic
398#475C2311yescharacteristic
399#475C2311yescharacteristic
400#474—21no—
401#474—21no—
402#474—21no—
403#474—21no—
404#474—21no—
405#474—21no—
406#474—21no—
407#474C2311yescharacteristic
408#474C2311yescharacteristic
409#474C2311yescharacteristic
410#474C2311yescharacteristic
411#474C2311yescharacteristic
412#474C2311yescharacteristic
413#474C2311yescharacteristic
414#474C2311yescharacteristic
415#470—21no—
416#470—21no—
417#470—21no—
418#470—21no—
419#470—21no—
420#469—21no—
421#469—21no—
422#469—21no—
423#468—21no—
424#468—21no—
425#468—21no—
426#468—21no—
427#468—21no—
428#468—21no—
429#467—21no—
430#467—21no—
431#467—21no—
432#465—21no—
433#465—21no—
434#465—21no—
435#464—21no—
436#464—21no—
437#464—21no—
438#464—21no—
439#463—21no—
440#463—21no—
441#463—21no—
442#463D411yescharacteristic
443#463D411yescharacteristic
444#462—21no—
445#462—21no—
446#462—21no—
447#462C2311yescharacteristic
448#462C2311yescharacteristic
449#462C2311yescharacteristic
450#462C2311yescharacteristic
451#462C2311yescharacteristic
452#462C2311yescharacteristic
453#462C2311yescharacteristic
454#461—21no—
455#461—21no—
456#461—21no—
457#461C2311yescharacteristic
458#461C2311yescharacteristic
459#461C2311yescharacteristic
460#461C2311yescharacteristic
461#461C2311yescharacteristic
462#460—21no—
463#460C2311yescharacteristic
464#460C2311yescharacteristic
465#460C2311yescharacteristic
466#459—21no—
467#459C2311yescharacteristic
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#451—21no—
474#451—21no—
475#451—21no—
476#451—21no—
477#451—21no—
478#451—21no—
479#451—21no—
480#451—21no—
481#451—21no—
482#451—21no—
483#450—21no—
484#450—21no—
485#450—21no—
486#450—21no—
487#450D411yescharacteristic
488#448—21no—
489#448—21no—
490#448—21no—
491#448—21no—
492#448—21no—
493#447—21no—
494#447D411yescharacteristic
495#446—21no—
496#446—21no—
497#446C2311yescharacteristic
498#446C2311yescharacteristic
499#446C2311yescharacteristic
500C8×Q8C2311yescharacteristic
501C8×Q8C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505#441—21no—
506#441—21no—
507#441—21no—
508#441—21no—
509#441D411yescharacteristic
510#441D411yescharacteristic
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516#440—21no—
517#440D411yescharacteristic
518#440D411yescharacteristic
519C4×Q16—21no—
520C4×Q16—21no—
521C4×Q16—21no—
522C4×Q16—21no—
523C4×Q16—21no—
524C4×Q16C2311yescharacteristic
525C4×Q16C2311yescharacteristic
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16—21no—
529C4×SD16—21no—
530C4×SD16—21no—
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×D8—21no—
536C4×D8—21no—
537C4×D8—21no—
538C4×D8—21no—
539C4×D8C2311yescharacteristic
540C4×D8C2311yescharacteristic
541#436—21no—
542#436—21no—
543#436—21no—
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#436C2311yescharacteristic
547#436C2311yescharacteristic
548#436C2311yescharacteristic
549#435—21no—
550#435—21no—
551#435—21no—
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555#433—21no—
556#432—21no—
557#432C2311yescharacteristic
558#431—21no—
559#431—21no—
560#431C2311yescharacteristic
561#431C2311yescharacteristic
562#431C2311yescharacteristic
563#428—21no—
564#428—21no—
565#428—21no—
566#428D411yescharacteristic
567#427—21no—
568#423—21no—
569#423C2311yescharacteristic
570#423C2311yescharacteristic
571#419—21no—
572#419—21no—
573#419—21no—
574#419D411yescharacteristic
575#418—21no—
576#418—21no—
577#418—21no—
578#417—21no—
579#417D411yescharacteristic
580#407—21no—
581#405—21no—
582C4×M16C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#332C2311yescharacteristic
603#332C2311yescharacteristic
604#332C2311yescharacteristic
605#331C2311yescharacteristic
606#331C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614Q8⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622D4⋊C8C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626C82C2311yescharacteristic
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—41no—
631C2×#41—41no—
632C2×#41—44no—
633C2×#41—82no—
634C2×#41C2×D411yescharacteristic
635C22×Q8—21no—
636C22×Q8—21no—
637C22×Q8—21no—
638C22×Q8—21no—
639C22×Q8—21no—
640C22×Q8—21no—
641C22×Q8—21no—
642C22×Q8—21no—
643C22×Q8—41no—
644C22×Q8—41no—
645C22×Q8—41no—
646C22×Q8—44no—
647C22×Q8—82no—
648C22×Q8C2×D411yescharacteristic
649C22×D4—21no—
650C22×D4—21no—
651C22×D4—41no—
652C22×D4C2×D411yescharacteristic
653C23×C4—21no—
654C23×C4—41no—
655C23×C4—41no—
656#137—24no—
657#137—44no—
658#137—44no—
659#137—44no—
660#137—44no—
661#137—44no—
662#137—44no—
663#137—44no—
664#137—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—21no—
675C2×Q16—21no—
676C2×Q16—21no—
677C2×Q16—21no—
678C2×Q16—44no—
679C2×Q16—44no—
680C2×Q16—44no—
681C2×Q16C2×D411yescharacteristic
682C2×Q16C2×D411yescharacteristic
683C2×SD16—21no—
684C2×SD16—21no—
685C2×SD16—21no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—21no—
689C2×SD16—21no—
690C2×SD16—21no—
691C2×SD16—21no—
692C2×SD16—21no—
693C2×SD16—21no—
694C2×SD16—21no—
695C2×SD16—44no—
696C2×SD16—44no—
697C2×SD16C2×D411yescharacteristic
698C2×SD16C2×D411yescharacteristic
699C2×SD16C2×D411yescharacteristic
700C2×SD16C2×D411yescharacteristic
701C2×D8—21no—
702C2×D8C2×D411yescharacteristic
703C2×D8C2×D411yescharacteristic
704C2×M16—21no—
705C2×M16—21no—
706C2×M16—21no—
707C2×M16—21no—
708C2×M16—21no—
709C2×M16—21no—
710C2×M16—21no—
711C2×M16—44no—
712C2×M16C2×D411yescharacteristic
713C2×M16C2×D411yescharacteristic
714C22×C8—21no—
715C22×C8—21no—
716C22×C8—21no—
717C4⋊Q8—21no—
718C4⋊Q8—21no—
719C4⋊Q8—21no—
720C4⋊Q8—21no—
721C4⋊Q8—21no—
722C4⋊Q8—21no—
723C4⋊Q8—21no—
724C4⋊Q8—21no—
725C4⋊Q8—21no—
726C4⋊Q8—21no—
727C4⋊Q8—21no—
728C4⋊Q8—21no—
729C4⋊Q8—21no—
730C4⋊Q8—21no—
731C4⋊Q8—41no—
732C4⋊Q8—41no—
733C4⋊Q8—41no—
734C4⋊Q8—41no—
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737C4⋊Q8C2411yescharacteristic
738C4⋊Q8C2411yescharacteristic
739C4⋊Q8C2411yescharacteristic
740C4⋊Q8C2411yescharacteristic
741C4⋊Q8C2411yescharacteristic
742#127—21no—
743#127C2411yescharacteristic
744#126—21no—
745#126—41no—
746#126—41no—
747#126—41no—
748#126—41no—
749#126—41no—
750#126—41no—
751#126—41no—
752#126—41no—
753#125—21no—
754#125—21no—
755#125—21no—
756#125—21no—
757#125—41no—
758#125—41no—
759#125—41no—
760#125—41no—
761#125—41no—
762#125C2×D411yescharacteristic
763#124—21no—
764#124—21no—
765#124—21no—
766#124—41no—
767#124—41no—
768#124—41no—
769#124—41no—
770#124—41no—
771#124C2×D411yescharacteristic
772#123—21no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
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⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8C2×D411yescharacteristic
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121C2×D411yescharacteristic
824#120—41no—
825#120—41no—
826#120—41no—
827C4×Q8—21no—
828C4×Q8—21no—
829C4×Q8—21no—
830C4×Q8—21no—
831C4×Q8—21no—
832C4×Q8—21no—
833C4×Q8—21no—
834C4×Q8—21no—
835C4×Q8—21no—
836C4×Q8—21no—
837C4×Q8—21no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—41no—
842C4×Q8—41no—
843C4×Q8—41no—
844C4×Q8—41no—
845C4×Q8—41no—
846C4×Q8C2×D411yescharacteristic
847C4×Q8C2×D411yescharacteristic
848C4×Q8C2×D411yescharacteristic
849C4×Q8C2411yescharacteristic
850C4×Q8C2411yescharacteristic
851C4×Q8C2411yescharacteristic
852C4×Q8C2411yescharacteristic
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—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—21no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4—41no—
875C4×D4C2×D411yescharacteristic
876C4×D4C2×D411yescharacteristic
877C4×D4C2×D411yescharacteristic
878C4×D4C2411yescharacteristic
879C4×D4C2411yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—41no—
891#117—41no—
892#117—41no—
893#117—41no—
894#117—41no—
895#117C2×D411yescharacteristic
896C2×C4⋊C4—21no—
897C2×C4⋊C4—21no—
898C2×C4⋊C4—21no—
899C2×C4⋊C4—21no—
900C2×C4⋊C4—41no—
901C2×C4⋊C4C2×D411yescharacteristic
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C22⋊C4—21no—
904C2×C22⋊C4—41no—
905C2×C22⋊C4—41no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42C2411yescharacteristic
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—21no—
915#107—21no—
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#107—21no—
923#107—21no—
924#107—21no—
925#107—41no—
926#107—41no—
927#107—41no—
928#107C2×D411yescharacteristic
929#107C2×D411yescharacteristic
930#107C2×D411yescharacteristic
931#107C2×D411yescharacteristic
932#106—21no—
933#106—21no—
934#106—21no—
935#106—21no—
936#106—21no—
937#106—21no—
938#106—21no—
939#106—21no—
940#106—21no—
941#106—21no—
942#106—41no—
943#106C2×D411yescharacteristic
944#106C2×D411yescharacteristic
945#106C2×D411yescharacteristic
946#106C2×D411yescharacteristic
947C4⋊C8—21no—
948C4⋊C8—21no—
949C4⋊C8—21no—
950C4⋊C8—21no—
951C4⋊C8—21no—
952C4⋊C8—21no—
953C4⋊C8—21no—
954C4⋊C8—21no—
955C4⋊C8—21no—
956C4⋊C8—21no—
957C4⋊C8—21no—
958C4⋊C8C2×D411yescharacteristic
959C4⋊C8C2×D411yescharacteristic
960C4⋊C8C2411yescharacteristic
961C4⋊C8C2411yescharacteristic
962C4⋊C8C2411yescharacteristic
963C4⋊C8C2411yescharacteristic
964C4⋊C8C2411yescharacteristic
965C4⋊C8C2411yescharacteristic
966C4⋊C8C2411yescharacteristic
967C4⋊C8C2411yescharacteristic
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—21no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—21no—
986#103—21no—
987#103—21no—
988#103—21no—
989#103—21no—
990#103—21no—
991#103—21no—
992#103—21no—
993#103—21no—
994#103—41no—
995#103—41no—
996#103C2×D411yescharacteristic
997#103C2×D411yescharacteristic
998#103C2×D411yescharacteristic
999#103C2×D411yescharacteristic
1000#103C2×D411yescharacteristic
1001#103C2×D411yescharacteristic
1002#103C2×D411yescharacteristic
1003#103C2×D411yescharacteristic
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—21no—
1013#102—21no—
1014#102—21no—
1015#102—21no—
1016#102—21no—
1017#102—21no—
1018#102—21no—
1019#102—21no—
1020#102—21no—
1021#102—21no—
1022#102—41no—
1023#102—41no—
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
1027#102C2×D411yescharacteristic
1028#102C2×D411yescharacteristic
1029#102C2×D411yescharacteristic
1030#102C2×D411yescharacteristic
1031#102C2×D411yescharacteristic
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8—21no—
1043C22⋊C8C2×D411yescharacteristic
1044C22⋊C8C2×D411yescharacteristic
1045#97—21no—
1046#97—21no—
1047#97—21no—
1048#97—21no—
1049#97C2×D411yescharacteristic
1050#97C2×D411yescharacteristic
1051C4×C8—21no—
1052C4×C8—21no—
1053C4×C8—21no—
1054C4×C8—21no—
1055C4×C8—21no—
1056C4×C8—21no—
1057C4×C8C2411yescharacteristic
1058C4×C8C2411yescharacteristic
1059C4×C8C2411yescharacteristic
1060C4×C8C2411yescharacteristic
1061C4×C8C2411yescharacteristic
1062C4×C8C2411yescharacteristic
1063C24—21no—
1064C24—41no—
1065#41—22no—
1066#41—41no—
1067#41—42no—
1068#41—42no—
1069#41—42no—
1070#41—42no—
1071#41—84no—
1072#41—81no—
1073#41—81no—
1074#41—84no—
1075C2×Q8—21no—
1076C2×Q8—22no—
1077C2×Q8—21no—
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—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×Q8—41no—
1093C2×Q8—42no—
1094C2×Q8—42no—
1095C2×Q8—41no—
1096C2×Q8—42no—
1097C2×Q8—42no—
1098C2×Q8—42no—
1099C2×Q8—42no—
1100C2×Q8—42no—
1101C2×Q8—42no—
1102C2×Q8—42no—
1103C2×Q8—84no—
1104C2×Q8—81no—
1105C2×Q8—81no—
1106C2×Q8—81no—
1107C2×Q8—81no—
1108C2×Q8—81no—
1109C2×Q8—81no—
1110C2×Q8—81no—
1111C2×Q8—84no—
1112C2×Q8—84no—
1113C2×Q8C22×D411yescharacteristic
1114C2×Q8C22×D411yescharacteristic
1115C2×Q8C22×D411yescharacteristic
1116C2×Q8C22×D411yescharacteristic
1117C2×D4—22no—
1118C2×D4—21no—
1119C2×D4—21no—
1120C2×D4—21no—
1121C2×D4—21no—
1122C2×D4—21no—
1123C2×D4—21no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—81no—
1135C2×D4—81no—
1136C2×D4—84no—
1137C2×D4C22×D411yescharacteristic
1138C2×D4C22×D411yescharacteristic
1139C2×D4C22×D411yescharacteristic
1140C2×D4C22×D411yescharacteristic
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—21no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—41no—
1153C22×C4—42no—
1154C22×C4—42no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—84no—
1166C22×C4—84no—
1167C22×C4C22×D411yescharacteristic
1168C22×C4C22×D411yescharacteristic
1169C22×C4H(5,𝔽2)11yescharacteristic
1170Q16—22no—
1171Q16—42no—
1172Q16—42no—
1173Q16—42no—
1174Q16—42no—
1175Q16—42no—
1176Q16—42no—
1177Q16—42no—
1178Q16—42no—
1179Q16—42no—
1180Q16—81no—
1181Q16—81no—
1182Q16—81no—
1183Q16—81no—
1184Q16AGL(1,ℤ/8)14yes—
1185SD16—22no—
1186SD16—22no—
1187SD16—22no—
1188SD16—41no—
1189SD16—42no—
1190SD16—42no—
1191SD16—42no—
1192SD16—42no—
1193SD16—42no—
1194SD16—42no—
1195SD16—42no—
1196SD16—42no—
1197SD16—81no—
1198SD16—81no—
1199SD16—81no—
1200SD16—81no—
1201D8—22no—
1202D8—41no—
1203D8—81no—
1204M16—22no—
1205M16—41no—
1206M16—42no—
1207M16—42no—
1208M16—42no—
1209M16—81no—
1210M16—81no—
1211M16—81no—
1212M16—81no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—21no—
1221C2×C8—21no—
1222C2×C8—21no—
1223C2×C8—42no—
1224C2×C8—42no—
1225C2×C8—42no—
1226C2×C8C22×D411yescharacteristic
1227C2×C8C22×D411yescharacteristic
1228C2×C8C22×D411yescharacteristic
1229C2×C8C22×D411yescharacteristic
1230C2×C8C22×D411yescharacteristic
1231C2×C8C22×D411yescharacteristic
1232C2×C8C22×D411yescharacteristic
1233C2×C8C22×D411yescharacteristic
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—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—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊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⋊C4C22×D411yescharacteristic
1285C4⋊C4C22×D411yescharacteristic
1286C4⋊C4C22×D411yescharacteristic
1287C4⋊C4C22×D411yescharacteristic
1288C4⋊C4C22×D411yescharacteristic
1289C4⋊C4C22×D411yescharacteristic
1290C4⋊C4C22×D411yescharacteristic
1291C4⋊C4C22×D411yescharacteristic
1292C22⋊C4—21no—
1293C22⋊C4—21no—
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—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C42—21no—
1325C42—21no—
1326C42—21no—
1327C42—21no—
1328C42—21no—
1329C42—21no—
1330C42—21no—
1331C42—21no—
1332C42—41no—
1333C42—41no—
1334C42—41no—
1335C42—41no—
1336C42—41no—
1337C42—41no—
1338C42—41no—
1339C42—41no—
1340C42C22×D411yescharacteristic
1341C42C22×D411yescharacteristic
1342C42H(5,𝔽2)11yescharacteristic
1343C42C2511yescharacteristic
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—42no—
1349C23—42no—
1350C23—41no—
1351C23—81no—
1352C23—82no—
1353C23—82no—
1354C23—161no—
1355C23D4211yescharacteristic
1356Q8—21no—
1357Q8—21no—
1358Q8—21no—
1359Q8—21no—
1360Q8—21no—
1361Q8—21no—
1362Q8—42no—
1363Q8—41no—
1364Q8—41no—
1365Q8—41no—
1366Q8—41no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371Q8—41no—
1372Q8—41no—
1373Q8—41no—
1374Q8—41no—
1375Q8—82no—
1376Q8—82no—
1377Q8—82no—
1378Q8—82no—
1379Q8—82no—
1380Q8—81no—
1381Q8—82no—
1382Q8—82no—
1383Q8—82no—
1384Q8—161no—
1385Q8C2×AGL(1,ℤ/8)12yes—
1386Q8C2×AGL(1,ℤ/8)12yes—
1387D4—21no—
1388D4—21no—
1389D4—21no—
1390D4—21no—
1391D4—21no—
1392D4—21no—
1393D4—21no—
1394D4—42no—
1395D4—42no—
1396D4—41no—
1397D4—41no—
1398D4—41no—
1399D4—41no—
1400D4—82no—
1401D4—81no—
1402D4—81no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—161no—
1408D4—161no—
1409D4#57812yes—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—41no—
1427C2×C4—42no—
1428C2×C4—42no—
1429C2×C4—42no—
1430C2×C4—42no—
1431C2×C4—42no—
1432C2×C4—42no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—81no—
1449C2×C4—82no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4—82no—
1454C2×C4—82no—
1455C2×C4—82no—
1456C2×C4—82no—
1457C2×C4—82no—
1458C2×C4—82no—
1459C2×C4—82no—
1460C2×C4D4211yescharacteristic
1461C2×C4D4211yescharacteristic
1462C2×C4D4211yescharacteristic
1463C2×C4C23×D411yescharacteristic
1464C2×C4C23×D411yescharacteristic
1465C2×C4C2×H(5,𝔽2)11yescharacteristic
1466C8—21no—
1467C8—21no—
1468C8—21no—
1469C8—21no—
1470C8—21no—
1471C8—21no—
1472C8—21no—
1473C8—41no—
1474C8—41no—
1475C8—41no—
1476C8—41no—
1477C8—41no—
1478C8—41no—
1479C8—41no—
1480C8—41no—
1481C8—41no—
1482C8—41no—
1483C8C2×AGL(1,ℤ/8)12yes—
1484C22—21no—
1485C22—21no—
1486C22—22no—
1487C22—21no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—84no—
1500C22—81no—
1501C22—81no—
1502C22—81no—
1503C22—164no—
1504C22C2×D4211yescharacteristic
1505C4—21no—
1506C4—22no—
1507C4—22no—
1508C4—21no—
1509C4—21no—
1510C4—21no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4—81no—
1525C4—81no—
1526C4—81no—
1527C4—81no—
1528C4C22×AGL(1,ℤ/8)11yescharacteristic
1529C4C2×#57811yescharacteristic
1530C4#358511yescharacteristic
1531C4#358611yescharacteristic
1532C2—41no—
1533C2—42no—
1534C2—81no—
1535C2—81no—
1536C2—81no—
1537C2—161no—
1538C2D4×AGL(1,ℤ/8)11yescharacteristic
1539C2#6107611yescharacteristic
1540C2#6110811yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#62151C2
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
2. #61837C2semidirect
3. #61544C2semidirect
4. D4×#137C2semidirect
5. #20311C2semidirect
6. #20227C2semidirect
7. #20176C2semidirect
8. #20168C2semidirect
9. #20167C2semidirect
10. #20089C2semidirect
11. #20086C2semidirect
12. #20062C2semidirect
13. #20060C2semidirect
14. D8×Q16C2semidirect
15. #19910C2semidirect
16. #19896C2semidirect
17. #19821C2semidirect
18. #19812C2semidirect
19. #19769C2semidirect
20. #19761C2semidirect
21. #19731C2semidirect
22. #19502C2semidirect
23. #19479C2semidirect
24. #19377C2semidirect
25. #19307C2semidirect
26. #18860C2semidirect
27. #18824C2semidirect
28. #18806C2semidirect
29. #18759C2semidirect
30. #18053C2semidirect
31. #18006C2semidirect
33. #3523C22semidirect
37. #3398C22semidirect
38. #3387C22semidirect
42. #3386C22semidirect
46. Q8×D8C22semidirect
50. #3367C22semidirect
51. #3364C22semidirect
52. #3363C22semidirect
55. #3359C22semidirect
62. #3340C22semidirect
63. #3329C22semidirect
65. #3328C22semidirect
73. D4×Q16C22semidirect
88. #3239C22semidirect
90. #3230C22semidirect
91. #3230C22semidirect
95. #3185C22semidirect
106. #3104C22semidirect
115. #2984C22semidirect
116. #2969C22semidirect
120. #1723C22semidirect
121. #1723C22semidirect
122. #1722C22semidirect
123. #1719C22semidirect
124. #1719C22semidirect
125. #1716C22semidirect
126. #1713C22semidirect
127. #1708C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1699C22semidirect
131. #1699C22semidirect
132. #1699C22semidirect
133. #1698C22semidirect
134. #1694C22semidirect
135. #1693C22semidirect
136. #1693C22semidirect
137. #1692C22semidirect
138. #1691C22semidirect
139. #1690C22semidirect
140. #1689C22semidirect
141. #1689C22semidirect
142. #1686C22semidirect
143. #1685C22semidirect
145. #1682C22semidirect
146. #1680C22semidirect
147. #1680C22semidirect
149. #1678C22semidirect
150. #1674C22semidirect
151. #1674C22semidirect
152. #1674C22semidirect
153. #1672C22semidirect
155. #1670C22semidirect
157. #1669C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
161. #1653C22semidirect
162. #1652C22semidirect
164. #1650C22semidirect
165. #1650C22semidirect
169. #1649C22semidirect
170. #1649C22semidirect
171. #1649C22semidirect
172. #1649C22semidirect
173. #1649C22semidirect
174. #1648C22semidirect
176. #1646C22semidirect
177. #1646C22semidirect
178. #1645C22semidirect
179. #1645C22semidirect
186. #1637C22semidirect
187. #1637C22semidirect
188. #1628C22semidirect
189. #1627C22semidirect
190. #1626C22semidirect
191. #1626C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1587C22semidirect
200. #1584C22semidirect
201. #1583C22semidirect
203. #1581C22semidirect
204. #1579C22semidirect
206. C8×Q16C22semidirect
208. #1574C22semidirect
209. #1569C22semidirect
210. #1561C22semidirect
211. #1559C22semidirect
213. #1549C22semidirect
214. #1495C22semidirect
216. #1487C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621512
#618372
#615442
D4×#1372
#203112
#202272
#201762
#201682
#201672
#200892
#200862
#200622
#200602
D8×Q162
#199102
#198962
#198212
#198122
#197692
#197612
#197312
#195022
#194792
#193772
#193072
#188602
#188242
#188062
#187592
#180532
#180062