Finite Group Databasebeta

← #6363973

Subgroups — #6363973

Order 512.

1599 conjugacy classes of subgroups.

The subgroup lattice has 1519 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62188C211yesmaximal, characteristic, complemented
2#62096C211yesmaximal, characteristic, complemented
3#61859C211yesmaximal, characteristic, complemented
4#61590C211yesmaximal, characteristic
5#20203C211yesmaximal, characteristic, complemented
6#20193C211yesmaximal, characteristic, complemented
7#20183C211yesmaximal, characteristic, complemented
8#20181C211yesmaximal, characteristic, complemented
9#20103C211yesmaximal, characteristic, complemented
10#20096C211yesmaximal, characteristic, complemented
11#20087C211yesmaximal, characteristic, complemented
12#20081C211yesmaximal, characteristic, complemented
13#19919C211yesmaximal, characteristic, complemented
14#19917C211yesmaximal, characteristic, complemented
15#19893C211yesmaximal, characteristic, complemented
16#19893C211yesmaximal, characteristic, complemented
17#19829C211yesmaximal, characteristic, complemented
18#19823C211yesmaximal, characteristic, complemented
19#19809C211yesmaximal, characteristic, complemented
20#19806C211yesmaximal, characteristic, complemented
21#19725C211yesmaximal, characteristic, complemented
22#19544C211yesmaximal, characteristic, complemented
23#19525C211yesmaximal, characteristic, complemented
24#19429C211yesmaximal, characteristic, complemented
25#19419C211yesmaximal, characteristic, complemented
26#18744C211yesmaximal, characteristic, complemented
27#18567C211yesmaximal, characteristic, complemented
28#18563C211yesmaximal, characteristic, complemented
29#18555C211yesmaximal, characteristic, complemented
30#17952C211yesmaximal, characteristic, complemented
31#17927C211yesmaximal, characteristic, complemented
32#3555C2211yescharacteristic, complemented
33#3519C2211yescharacteristic
34#3503C2211yescharacteristic, complemented
35D4×#41C2211yescharacteristic
36#3390—21no—
37#3386—21no—
38#3385C2211yescharacteristic, complemented
39#3385C2211yescharacteristic, complemented
40#3385C2211yescharacteristic, complemented
41Q8×Q16C2211yescharacteristic, complemented
42#3381C2211yescharacteristic, complemented
43#3380C2211yescharacteristic, complemented
44Q8×SD16C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic, complemented
46#3377—21no—
47#3372C2211yescharacteristic, complemented
48#3369C2211yescharacteristic, complemented
49#3368C2211yescharacteristic
50#3367—21no—
51#3363C2211yescharacteristic, complemented
52#3362C2211yescharacteristic
53#3362C2211yescharacteristic
54#3362C2211yescharacteristic
55#3360C2211yescharacteristic, complemented
56#3357C2211yescharacteristic
57#3351—21no—
58#3350—21no—
59#3340C2211yescharacteristic
60#3335—21no—
61#3335—21no—
62#3335C2211yescharacteristic
63#3335C2211yescharacteristic
64#3333C2211yescharacteristic
65#3331C2211yescharacteristic
66#3329C2211yescharacteristic
67#3326—21no—
68#3325C2211yescharacteristic
69#3324—21no—
70#3324C2211yescharacteristic, complemented
71#3322—21no—
72#3310—21no—
73#3295—21no—
74#3295—21no—
75#3295C2211yescharacteristic, complemented
76#3295C2211yescharacteristic, complemented
77#3295C2211yescharacteristic, complemented
78#3278C2211yescharacteristic
79#3275—21no—
80#3274C2211yescharacteristic
81#3274C2211yescharacteristic
82#3273—21no—
83#3272C2211yescharacteristic
84#3260—21no—
85#3254C2211yescharacteristic, complemented
86#3246—21no—
87#3246C2211yescharacteristic, complemented
88#3243—21no—
89#3242—21no—
90#3241—21no—
91#3238C2211yescharacteristic, complemented
92#3230C2211yescharacteristic, complemented
93#3228C2211yescharacteristic, complemented
94#3227—21no—
95#3227C2211yescharacteristic, complemented
96#3212C2211yescharacteristic
97#3207C2211yescharacteristic
98#3197—21no—
99#3194—21no—
100#3182C2211yescharacteristic, complemented
101#3152C2211yescharacteristic, complemented
102#3124—21no—
103#3123—21no—
104#3120—21no—
105#3116C2211yescharacteristic, complemented
106#3106C2211yescharacteristic
107#3102C2211yescharacteristic
108#3101—21no—
109#3101C2211yescharacteristic
110#3081—21no—
111#3077C2211yescharacteristic
112C2×#476—21no—
113C2×#476C2211yescharacteristic
114#3006—21no—
115#3005—21no—
116#2993C2211yescharacteristic, complemented
117#2988C2211yescharacteristic, complemented
118#2985C2211yescharacteristic, complemented
119#2975C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1722C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1714C2211yescharacteristic, complemented
125#1714C2211yescharacteristic, complemented
126#1707C2211yescharacteristic, complemented
127#1706C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1704C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1703C2211yescharacteristic, complemented
132#1703C2211yescharacteristic, complemented
133#1703C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1695C2211yescharacteristic, complemented
137#1695C2211yescharacteristic, complemented
138#1695C2211yescharacteristic, complemented
139#1695C2211yescharacteristic, complemented
140#1692C2211yescharacteristic, complemented
141#1691C2211yescharacteristic, complemented
142#1688C2211yescharacteristic, complemented
143#1688C2211yescharacteristic, complemented
144#1682C2211yescharacteristic, complemented
145#1681C2211yescharacteristic, complemented
146#1678C2211yescharacteristic, complemented
147#1678C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1677C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1676C2211yescharacteristic, complemented
153#1675C2211yescharacteristic, complemented
154#1672C2211yescharacteristic, complemented
155#1672C2211yescharacteristic, complemented
156#1671C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1666C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1649C2211yescharacteristic, complemented
162#1648C2211yescharacteristic, complemented
163#1647C2211yescharacteristic
164#1645C2211yescharacteristic, complemented
165#1643C2211yescharacteristic, complemented
166#1641C2211yescharacteristic
167#1639C2211yescharacteristic, complemented
168#1637C2211yescharacteristic, complemented
169#1635C2211yescharacteristic
170#1634C2211yescharacteristic
171#1634C2211yescharacteristic
172#1633C2211yescharacteristic, complemented
173#1633C2211yescharacteristic, complemented
174#1632C2211yescharacteristic, complemented
175#1632C2211yescharacteristic, complemented
176#1632C2211yescharacteristic, complemented
177#1632C2211yescharacteristic, complemented
178#1631C2211yescharacteristic
179#1631C2211yescharacteristic
180#1631C2211yescharacteristic
181#1629C2211yescharacteristic, complemented
182#1629C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1626C2211yescharacteristic, complemented
186#1623C2211yescharacteristic, complemented
187#1623C2211yescharacteristic, complemented
188#1623C2211yescharacteristic, complemented
189#1622C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1592C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1590C2211yescharacteristic, complemented
195#1590C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1587C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1583C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205#1579C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1572C2211yescharacteristic, complemented
209#1570C2211yescharacteristic, complemented
210#1557C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212#1548C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1489C2211yescharacteristic, complemented
216#1485C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C22×#41—21no—
220C2×#137—21no—
221C2×#137—41no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225#563—41no—
226Q82C2311yescharacteristic
227Q82C2311yescharacteristic
228Q82C2311yescharacteristic
229#557—21no—
230#557—21no—
231#557C2311yescharacteristic
232#556—21no—
233#556—21no—
234#556C2311yescharacteristic
235#555C2311yescharacteristic
236#554—21no—
237#554—21no—
238#554C2311yescharacteristic
239#554C2311yescharacteristic
240#554C2311yescharacteristic
241#554C2311yescharacteristic
242#553—21no—
243#553—21no—
244#552—21no—
245#550C2311yescharacteristic
246#550C2311yescharacteristic
247D4×Q8—21no—
248D4×Q8—41no—
249D4×Q8C2311yescharacteristic
250#548—21no—
251#547—21no—
252#547C2311yescharacteristic
253#546—21no—
254#546—21no—
255#546—41no—
256#546—41no—
257D42—21no—
258D42—21no—
259D42C2311yescharacteristic
260D42C2311yescharacteristic
261#544—21no—
262#544—21no—
263#544—41no—
264#542—21no—
265#541—21no—
266#541—21no—
267#541—41no—
268#540—21no—
269#538—41no—
270#533—21no—
271#533C2311yescharacteristic
272#533C2311yescharacteristic
273#532—21no—
274#532C2311yescharacteristic
275#532C2311yescharacteristic
276C2×C4⋊Q8—21no—
277C2×C4⋊Q8C2311yescharacteristic
278#529C2311yescharacteristic
279#525—21no—
280#525—21no—
281#525—41no—
282C2×#121—21no—
283#520—21no—
284#518—21no—
285C4×#41C2311yescharacteristic
286C2×C4×D4—21no—
287C2×C4×D4C2311yescharacteristic
288#501—21no—
289#501—21no—
290#501—21no—
291#501—21no—
292#500—21no—
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#499—21no—
298#499—21no—
299#498—21no—
300#498—21no—
301#498C2311yescharacteristic
302#498C2311yescharacteristic
303#498C2311yescharacteristic
304#497—41no—
305#495—21no—
306#494C2311yescharacteristic
307#494C2311yescharacteristic
308#493C2311yescharacteristic
309#492C2311yescharacteristic
310#492C2311yescharacteristic
311#492C2311yescharacteristic
312#492C2311yescharacteristic
313#491—21no—
314#490—21no—
315#489—21no—
316#489—21no—
317#488—21no—
318#488—21no—
319#487—21no—
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
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#485—21no—
335#485—21no—
336#485—21no—
337#485D411yescharacteristic
338#484—21no—
339#484—21no—
340#483—21no—
341#483—21no—
342#483—21no—
343#483—21no—
344#483D411yescharacteristic
345#483D411yescharacteristic
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482D411yescharacteristic
353#481—21no—
354#481—21no—
355#481—21no—
356#481—21no—
357#481—21no—
358#481—21no—
359#481—21no—
360#480—21no—
361#480—21no—
362#480—21no—
363#479—21no—
364#479—21no—
365#479—21no—
366#479—21no—
367#479—21no—
368#479—21no—
369#479D411yescharacteristic
370#478—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478D411yescharacteristic
379#477—21no—
380#477—21no—
381#477—21no—
382#477—21no—
383#477—21no—
384#477C2311yescharacteristic
385#477C2311yescharacteristic
386#477C2311yescharacteristic
387#477C2311yescharacteristic
388#477C2311yescharacteristic
389#477C2311yescharacteristic
390#476—21no—
391#476—21no—
392#476—21no—
393#476—21no—
394#476—21no—
395#476—21no—
396#476—21no—
397#476—21no—
398#476—21no—
399#476—21no—
400#476D411yescharacteristic
401#476D411yescharacteristic
402#476C2311yescharacteristic
403#476C2311yescharacteristic
404#476C2311yescharacteristic
405#476C2311yescharacteristic
406#476C2311yescharacteristic
407#476C2311yescharacteristic
408#476C2311yescharacteristic
409#476C2311yescharacteristic
410#476C2311yescharacteristic
411#476C2311yescharacteristic
412#475—21no—
413#475—21no—
414#475—21no—
415#475C2311yescharacteristic
416#475C2311yescharacteristic
417#474—21no—
418#474—21no—
419#474—21no—
420#474—21no—
421#474C2311yescharacteristic
422#474C2311yescharacteristic
423#470—21no—
424#469—21no—
425#469—21no—
426#469—21no—
427#468—21no—
428#468—21no—
429#468—21no—
430#468—21no—
431#468—21no—
432#468—21no—
433#468—21no—
434#468—21no—
435#468—41no—
436#465—21no—
437#465—21no—
438#465—21no—
439#465—21no—
440#465—21no—
441#465—21no—
442#465—21no—
443#465—21no—
444#464—21no—
445#464D411yescharacteristic
446#463—21no—
447#463—21no—
448#463—21no—
449#463D411yescharacteristic
450#462—21no—
451#462C2311yescharacteristic
452#462C2311yescharacteristic
453#461—21no—
454#461—21no—
455#461—21no—
456#461D411yescharacteristic
457#461D411yescharacteristic
458#461C2311yescharacteristic
459#461C2311yescharacteristic
460#460—21no—
461#460—21no—
462#460—21no—
463#460—21no—
464#460C2311yescharacteristic
465#460C2311yescharacteristic
466#460C2311yescharacteristic
467#460C2311yescharacteristic
468#460C2311yescharacteristic
469#460C2311yescharacteristic
470#459C2311yescharacteristic
471#459C2311yescharacteristic
472#452—21no—
473#452—21no—
474#452—21no—
475#452—21no—
476#452—21no—
477#452D411yescharacteristic
478#450—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#450—21no—
483#450D411yescharacteristic
484#450D411yescharacteristic
485#449—21no—
486#449—21no—
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449D411yescharacteristic
493#448—21no—
494#448—21no—
495#447—21no—
496#447—21no—
497#447—21no—
498#446—21no—
499#446—21no—
500#446C2311yescharacteristic
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508#441—21no—
509#441—21no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—21no—
515#440—21no—
516#440—41no—
517C4×Q16—21no—
518C4×Q16—21no—
519C4×Q16C2311yescharacteristic
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16—21no—
527C4×SD16—21no—
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×D8—21no—
535C4×D8—21no—
536C4×D8C2311yescharacteristic
537#436—21no—
538#436—21no—
539#436—21no—
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#435—21no—
546C8×D4—21no—
547C8×D4—21no—
548C8×D4C2311yescharacteristic
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551#433—21no—
552#433—21no—
553#433—21no—
554#432C2311yescharacteristic
555#431—21no—
556#431C2311yescharacteristic
557#431C2311yescharacteristic
558#431C2311yescharacteristic
559#428—21no—
560#428—21no—
561#427—21no—
562C2×#106—21no—
563C2×#106—21no—
564C2×#106—21no—
565#424—21no—
566#423C2311yescharacteristic
567C2×C4⋊C8—21no—
568C2×C4⋊C8C2311yescharacteristic
569#419—21no—
570#418—21no—
571#418—21no—
572#418—21no—
573#417—21no—
574#417—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×#102—21no—
579#407—21no—
580#407—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#334C2311yescharacteristic
585#334C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#333C2311yescharacteristic
595#333C2311yescharacteristic
596#333C2311yescharacteristic
597#333C2311yescharacteristic
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
612Q8⋊C8C2311yescharacteristic
613Q8⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—41no—
632C2×#41—41no—
633C2×#41—82no—
634C2×#41—82no—
635C2×#41C2×D411yescharacteristic
636C22×Q8—21no—
637C22×Q8—21no—
638C22×Q8—41no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—41no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C23×C4—21no—
647C23×C4—41no—
648#137—84no—
649#137—82no—
650AGL(1,ℤ/8)—82no—
651AGL(1,ℤ/8)—82no—
652AGL(1,ℤ/8)—82no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—41no—
656C2×Q16—41no—
657C2×Q16C2×D411yescharacteristic
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16—21no—
665C2×SD16—21no—
666C2×SD16—21no—
667C2×SD16—21no—
668C2×SD16—41no—
669C2×SD16—41no—
670C2×SD16—41no—
671C2×SD16C2×D411yescharacteristic
672C2×SD16C2×D411yescharacteristic
673C2×SD16C2×D411yescharacteristic
674C2×SD16C2×D411yescharacteristic
675C2×SD16C2×D411yescharacteristic
676C2×SD16C2×D411yescharacteristic
677C2×D8—21no—
678C2×D8—21no—
679C2×D8—21no—
680C2×D8—21no—
681C2×D8C2×D411yescharacteristic
682C2×M16—21no—
683C2×M16—21no—
684C2×M16—21no—
685C2×M16—21no—
686C2×M16—21no—
687C2×M16—21no—
688C2×M16—21no—
689C22×C8—21no—
690C22×C8—21no—
691C22×C8—21no—
692C22×C8—21no—
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—21no—
698C4⋊Q8—21no—
699C4⋊Q8—21no—
700C4⋊Q8—21no—
701C4⋊Q8—21no—
702C4⋊Q8—21no—
703C4⋊Q8—21no—
704C4⋊Q8—41no—
705C4⋊Q8—41no—
706C4⋊Q8—41no—
707C4⋊Q8—41no—
708C4⋊Q8—41no—
709C4⋊Q8—41no—
710C4⋊Q8C2×D411yescharacteristic
711C4⋊Q8C2×D411yescharacteristic
712C4⋊Q8C2411yescharacteristic
713C4⋊Q8C2411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718#127—21no—
719#127—21no—
720#127C2411yescharacteristic
721#127C2411yescharacteristic
722#126—21no—
723#126—41no—
724#126—41no—
725#126—41no—
726#126—41no—
727#126—41no—
728#126—41no—
729#126—41no—
730#125—21no—
731#125—21no—
732#125—21no—
733#125—21no—
734#125—21no—
735#125—21no—
736#125—21no—
737#125—41no—
738#125—41no—
739#125—41no—
740#125—41no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125C2×D411yescharacteristic
746#124—21no—
747#124—21no—
748#124—21no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124C2×D411yescharacteristic
753#123—21no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—21no—
770C22⋊Q8—21no—
771C22⋊Q8—41no—
772C22⋊Q8—41no—
773C22⋊Q8—41no—
774C22⋊Q8—41no—
775C22⋊Q8—41no—
776C22⋊Q8—41no—
777C22⋊Q8—41no—
778C22⋊Q8—41no—
779C22⋊Q8—41no—
780C22⋊Q8—41no—
781C22⋊Q8—41no—
782C22⋊Q8—41no—
783C22⋊Q8—41no—
784C22⋊Q8C2×D411yescharacteristic
785C22⋊Q8C2×D411yescharacteristic
786C22⋊Q8C2×D411yescharacteristic
787#121—21no—
788#121—21no—
789#121—21no—
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—41no—
801#121—41no—
802#121—41no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121C2×D411yescharacteristic
809#120—41no—
810#120—41no—
811#120—41no—
812#120—41no—
813#120—41no—
814#120—41no—
815C4×Q8—21no—
816C4×Q8—21no—
817C4×Q8—21no—
818C4×Q8—21no—
819C4×Q8—21no—
820C4×Q8—21no—
821C4×Q8—21no—
822C4×Q8—21no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—41no—
828C4×Q8—41no—
829C4×Q8C2×D411yescharacteristic
830C4×Q8C2411yescharacteristic
831C4×Q8C2411yescharacteristic
832C4×Q8C2411yescharacteristic
833C4×Q8C2411yescharacteristic
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—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4—41no—
856C4×D4—41no—
857C4×D4—41no—
858C4×D4C2×D411yescharacteristic
859C4×D4C2×D411yescharacteristic
860C4×D4C2×D411yescharacteristic
861C4×D4C2411yescharacteristic
862C4×D4C2411yescharacteristic
863C4×D4C2411yescharacteristic
864C4×D4C2411yescharacteristic
865#117—21no—
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—21no—
872#117—41no—
873#117—41no—
874#117C2×D411yescharacteristic
875C2×C4⋊C4—21no—
876C2×C4⋊C4—21no—
877C2×C4⋊C4—21no—
878C2×C4⋊C4—21no—
879C2×C4⋊C4—21no—
880C2×C4⋊C4—21no—
881C2×C4⋊C4—21no—
882C2×C4⋊C4—41no—
883C2×C4⋊C4C2×D411yescharacteristic
884C2×C22⋊C4—21no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C42—21no—
889C2×C42C2411yescharacteristic
890#107—21no—
891#107—21no—
892#107—21no—
893#107—21no—
894#107—21no—
895#107—21no—
896#107—21no—
897#107—21no—
898#107—21no—
899#107—21no—
900#107—21no—
901#107—21no—
902#107—21no—
903#107—21no—
904#107—41no—
905#107C2×D411yescharacteristic
906#107C2×D411yescharacteristic
907#106—21no—
908#106—21no—
909#106—21no—
910#106—21no—
911#106—21no—
912#106—21no—
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#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929#106C2×D411yescharacteristic
930#106C2×D411yescharacteristic
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8—21no—
937C4⋊C8—21no—
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8C2×D411yescharacteristic
942C4⋊C8C2×D411yescharacteristic
943C4⋊C8C2×D411yescharacteristic
944C4⋊C8C2×D411yescharacteristic
945C4⋊C8C2411yescharacteristic
946C4⋊C8C2411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—41no—
972#103C2×D411yescharacteristic
973#103C2×D411yescharacteristic
974#103C2×D411yescharacteristic
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—41no—
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8C2×D411yescharacteristic
1030C22⋊C8C2×D411yescharacteristic
1031C22⋊C8C2×D411yescharacteristic
1032C22⋊C8C2×D411yescharacteristic
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038C4×C8—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C24—21no—
1051C24—41no—
1052C24—41no—
1053#41—22no—
1054#41—22no—
1055#41—42no—
1056#41—42no—
1057#41—81no—
1058#41—81no—
1059#41—84no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—82no—
1065#41—84no—
1066C2×Q8—21no—
1067C2×Q8—21no—
1068C2×Q8—21no—
1069C2×Q8—21no—
1070C2×Q8—21no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—41no—
1074C2×Q8—41no—
1075C2×Q8—41no—
1076C2×Q8—41no—
1077C2×Q8—41no—
1078C2×Q8—42no—
1079C2×Q8—81no—
1080C2×Q8—82no—
1081C2×Q8—162no—
1082C2×Q8C22×D411yescharacteristic
1083C2×Q8C22×D411yescharacteristic
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4—41no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—84no—
1118C2×D4—162no—
1119C2×D4C22×D411yescharacteristic
1120C2×D4C22×D411yescharacteristic
1121C2×D4C22×D411yescharacteristic
1122C2×D4C22×D411yescharacteristic
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—21no—
1127C22×C4—21no—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
1131C22×C4—21no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—81no—
1144C22×C4—81no—
1145C22×C4—84no—
1146C22×C4C22×D411yescharacteristic
1147C22×C4C22×D411yescharacteristic
1148C22×C4H(5,𝔽2)11yescharacteristic
1149Q16—22no—
1150Q16—42no—
1151Q16—82no—
1152Q16—81no—
1153Q16—82no—
1154SD16—22no—
1155SD16—22no—
1156SD16—41no—
1157SD16—41no—
1158SD16—41no—
1159SD16—41no—
1160SD16—42no—
1161SD16—42no—
1162SD16—81no—
1163SD16—81no—
1164SD16—82no—
1165SD16—82no—
1166SD16—81no—
1167SD16—81no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—82no—
1173D8—22no—
1174D8—42no—
1175D8—81no—
1176D8—81no—
1177D8—81no—
1178M16—42no—
1179M16—81no—
1180M16—81no—
1181M16—81no—
1182M16—81no—
1183M16—81no—
1184M16—81no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—21no—
1190C2×C8—21no—
1191C2×C8—21no—
1192C2×C8—21no—
1193C2×C8—21no—
1194C2×C8—21no—
1195C2×C8—81no—
1196C2×C8—81no—
1197C2×C8—81no—
1198C2×C8—81no—
1199C2×C8C22×D411yescharacteristic
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C2×C8C22×D411yescharacteristic
1203C2×C8C22×D411yescharacteristic
1204C2×C8C22×D411yescharacteristic
1205C2×C8C22×D411yescharacteristic
1206C2×C8C22×D411yescharacteristic
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—21no—
1213C4⋊C4—21no—
1214C4⋊C4—21no—
1215C4⋊C4—21no—
1216C4⋊C4—21no—
1217C4⋊C4—21no—
1218C4⋊C4—21no—
1219C4⋊C4—21no—
1220C4⋊C4—21no—
1221C4⋊C4—21no—
1222C4⋊C4—21no—
1223C4⋊C4—21no—
1224C4⋊C4—21no—
1225C4⋊C4—21no—
1226C4⋊C4—21no—
1227C4⋊C4—21no—
1228C4⋊C4—21no—
1229C4⋊C4—21no—
1230C4⋊C4—21no—
1231C4⋊C4—21no—
1232C4⋊C4—21no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C4⋊C4C22×D411yescharacteristic
1261C4⋊C4C22×D411yescharacteristic
1262C4⋊C4C22×D411yescharacteristic
1263C4⋊C4C22×D411yescharacteristic
1264C4⋊C4C22×D411yescharacteristic
1265C22⋊C4—21no—
1266C22⋊C4—21no—
1267C22⋊C4—21no—
1268C22⋊C4—21no—
1269C22⋊C4—21no—
1270C22⋊C4—21no—
1271C22⋊C4—21no—
1272C22⋊C4—21no—
1273C22⋊C4—21no—
1274C22⋊C4—21no—
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C42—21no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—21no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42C22×D411yescharacteristic
1312C42C22×D411yescharacteristic
1313C42H(5,𝔽2)11yescharacteristic
1314C42C2511yescharacteristic
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—41no—
1320C23—41no—
1321C23—81no—
1322C23—81no—
1323C23—81no—
1324C23—82no—
1325C23—82no—
1326C23—82no—
1327C23—161no—
1328C23—161no—
1329C23—161no—
1330C23D4211yescharacteristic
1331Q8—21no—
1332Q8—21no—
1333Q8—21no—
1334Q8—21no—
1335Q8—21no—
1336Q8—21no—
1337Q8—21no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—81no—
1343Q8—82no—
1344Q8—81no—
1345Q8—81no—
1346Q8—81no—
1347Q8—81no—
1348Q8—82no—
1349Q8—161no—
1350Q8—161no—
1351Q8—161no—
1352Q8#57712yes—
1353D4—24no—
1354D4—21no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—21no—
1359D4—21no—
1360D4—21no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—81no—
1370D4—82no—
1371D4—81no—
1372D4—81no—
1373D4—81no—
1374D4—82no—
1375D4—82no—
1376D4—82no—
1377D4—82no—
1378D4—82no—
1379D4—82no—
1380D4—161no—
1381D4—161no—
1382D4—161no—
1383D4—161no—
1384D4—161no—
1385D4#57712yes—
1386C2×C4—24no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—41no—
1416C2×C4—41no—
1417C2×C4—41no—
1418C2×C4—81no—
1419C2×C4—81no—
1420C2×C4—81no—
1421C2×C4—82no—
1422C2×C4—82no—
1423C2×C4—82no—
1424C2×C4—81no—
1425C2×C4—82no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4—161no—
1429C2×C4—161no—
1430C2×C4—161no—
1431C2×C4—161no—
1432C2×C4—161no—
1433C2×C4D4211yescharacteristic
1434C2×C4D4211yescharacteristic
1435C2×C4D4211yescharacteristic
1436C2×C4C23×D411yescharacteristic
1437C2×C4C23×D411yescharacteristic
1438C2×C4C2×H(5,𝔽2)11yescharacteristic
1439C8—22no—
1440C8—21no—
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—21no—
1445C8—21no—
1446C8—21no—
1447C8—21no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
1454C8—41no—
1455C8—41no—
1456C8—41no—
1457C22—21no—
1458C22—22no—
1459C22—21no—
1460C22—21no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—81no—
1478C22—162no—
1479C22—164no—
1480C22—322no—
1481C22C2×D4211yescharacteristic
1482C4—21no—
1483C4—22no—
1484C4—21no—
1485C4—21no—
1486C4—21no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4—81no—
1504C4C2×#57711yescharacteristic
1505C4C2×#57711yescharacteristic
1506C4#358611yescharacteristic
1507C4#358611yescharacteristic
1508C2—41no—
1509C2—42no—
1510C2—81no—
1511C2—81no—
1512C2—81no—
1513C2—161no—
1514C2—161no—
1515C2#6105011yescharacteristic
1516C2#6106411yescharacteristic
1517C2#6111011yescharacteristic
subgroupG/H
center, socleC22C2×D42
commutator, Frattini, cosocleC42C25
prime radical#61590C2
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. #62188C2semidirect
2. #62096C2semidirect
3. #61859C2semidirect
5. #20203C2semidirect
6. #20193C2semidirect
7. #20183C2semidirect
8. #20181C2semidirect
9. #20103C2semidirect
10. #20096C2semidirect
11. #20087C2semidirect
12. #20081C2semidirect
13. #19919C2semidirect
14. #19917C2semidirect
15. #19893C2semidirect
16. #19893C2semidirect
17. #19829C2semidirect
18. #19823C2semidirect
19. #19809C2semidirect
20. #19806C2semidirect
21. #19725C2semidirect
22. #19544C2semidirect
23. #19525C2semidirect
24. #19429C2semidirect
25. #19419C2semidirect
26. #18744C2semidirect
27. #18567C2semidirect
28. #18563C2semidirect
29. #18555C2semidirect
30. #17952C2semidirect
31. #17927C2semidirect
32. #3555C22semidirect
34. #3503C22semidirect
38. #3385C22semidirect
39. #3385C22semidirect
40. #3385C22semidirect
41. Q8×Q16C22semidirect
42. #3381C22semidirect
43. #3380C22semidirect
44. Q8×SD16C22semidirect
45. Q8×SD16C22semidirect
47. #3372C22semidirect
48. #3369C22semidirect
51. #3363C22semidirect
55. #3360C22semidirect
70. #3324C22semidirect
75. #3295C22semidirect
76. #3295C22semidirect
77. #3295C22semidirect
85. #3254C22semidirect
87. #3246C22semidirect
91. #3238C22semidirect
92. #3230C22semidirect
93. #3228C22semidirect
95. #3227C22semidirect
100. #3182C22semidirect
101. #3152C22semidirect
105. #3116C22semidirect
116. #2993C22semidirect
117. #2988C22semidirect
118. #2985C22semidirect
120. #1723C22semidirect
121. #1722C22semidirect
122. #1720C22semidirect
123. #1717C22semidirect
124. #1714C22semidirect
125. #1714C22semidirect
126. #1707C22semidirect
127. #1706C22semidirect
128. #1704C22semidirect
129. #1704C22semidirect
130. #1703C22semidirect
131. #1703C22semidirect
132. #1703C22semidirect
133. #1703C22semidirect
134. #1698C22semidirect
135. #1697C22semidirect
136. #1695C22semidirect
137. #1695C22semidirect
138. #1695C22semidirect
139. #1695C22semidirect
140. #1692C22semidirect
141. #1691C22semidirect
142. #1688C22semidirect
143. #1688C22semidirect
144. #1682C22semidirect
145. #1681C22semidirect
146. #1678C22semidirect
147. #1678C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1677C22semidirect
151. #1677C22semidirect
152. #1676C22semidirect
153. #1675C22semidirect
154. #1672C22semidirect
155. #1672C22semidirect
156. #1671C22semidirect
157. #1671C22semidirect
158. #1666C22semidirect
159. #1666C22semidirect
160. #1650C22semidirect
161. #1649C22semidirect
162. #1648C22semidirect
164. #1645C22semidirect
165. #1643C22semidirect
167. #1639C22semidirect
168. #1637C22semidirect
172. #1633C22semidirect
173. #1633C22semidirect
174. #1632C22semidirect
175. #1632C22semidirect
176. #1632C22semidirect
177. #1632C22semidirect
181. #1629C22semidirect
182. #1629C22semidirect
183. #1629C22semidirect
184. #1628C22semidirect
185. #1626C22semidirect
186. #1623C22semidirect
187. #1623C22semidirect
188. #1623C22semidirect
189. #1622C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1592C22semidirect
193. #1592C22semidirect
194. #1590C22semidirect
195. #1590C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1587C22semidirect
199. #1586C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1583C22semidirect
203. #1582C22semidirect
204. #1580C22semidirect
205. #1579C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect
208. #1572C22semidirect
209. #1570C22semidirect
210. #1557C22semidirect
211. #1551C22semidirect
212. #1548C22semidirect
213. #1542C22semidirect
215. #1489C22semidirect
216. #1485C22semidirect
217. #1483C22semidirect
218. #1453C22semidirect

Maximal subgroups

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

subgroupindex
#621882
#620962
#618592
#615902
#202032
#201932
#201832
#201812
#201032
#200962
#200872
#200812
#199192
#199172
#198932
#198292
#198232
#198092
#198062
#197252
#195442
#195252
#194292
#194192
#187442
#185672
#185632
#185552
#179522
#179272