Finite Group Databasebeta

← #6369299

Subgroups — #6369299

Order 512.

1584 conjugacy classes of subgroups.

The subgroup lattice has 1513 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62152C211yesmaximal, characteristic, complemented
2#61737C211yesmaximal, characteristic, complemented
3#61541C211yesmaximal, characteristic, complemented
4#61159C211yesmaximal, characteristic, complemented
5#20304C211yesmaximal, characteristic, complemented
6#20263C211yesmaximal, characteristic, complemented
7#20251C211yesmaximal, characteristic, complemented
8#20242C211yesmaximal, characteristic, complemented
9#20178C211yesmaximal, characteristic, complemented
10#20140C211yesmaximal, characteristic, complemented
11#20104C211yesmaximal, characteristic, complemented
12#20056C211yesmaximal, characteristic, complemented
13#20041C211yesmaximal, characteristic, complemented
14#19998C211yesmaximal, characteristic, complemented
15#19956C211yesmaximal, characteristic, complemented
16#19903C211yesmaximal, characteristic, complemented
17#19859C211yesmaximal, characteristic, complemented
18#19824C211yesmaximal, characteristic, complemented
19#19822C211yesmaximal, characteristic, complemented
20#19778C211yesmaximal, characteristic, complemented
21#19732C211yesmaximal, characteristic, complemented
22#19502C211yesmaximal, characteristic, complemented
23#19466C211yesmaximal, characteristic, complemented
24#19381C211yesmaximal, characteristic, complemented
25#19307C211yesmaximal, characteristic, complemented
26#18844C211yesmaximal, characteristic, complemented
27#18823C211yesmaximal, characteristic, complemented
28#18807C211yesmaximal, characteristic, complemented
29#18783C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3520C2211yescharacteristic
33#3515C2211yescharacteristic
34#3475C2211yescharacteristic
35C2×#547C2211yescharacteristic
36#3398C2211yescharacteristic, complemented
37#3384C2211yescharacteristic, complemented
38#3381C2211yescharacteristic, complemented
39#3380C2211yescharacteristic, complemented
40#3364C2211yescharacteristic, complemented
41#3360C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3359C2211yescharacteristic, complemented
44#3357C2211yescharacteristic, complemented
45#3354C2211yescharacteristic, complemented
46#3353C2211yescharacteristic
47#3353C2211yescharacteristic
48#3352—21no—
49#3351—21no—
50#3344—21no—
51#3343—21no—
52#3343—21no—
53#3335C2211yescharacteristic, complemented
54#3334C2211yescharacteristic
55#3334C2211yescharacteristic
56#3331—21no—
57#3331C2211yescharacteristic
58#3331C2211yescharacteristic
59#3331C2211yescharacteristic, complemented
60#3331C2211yescharacteristic, complemented
61#3330C2211yescharacteristic
62#3330C2211yescharacteristic
63#3330C2211yescharacteristic
64#3330C2211yescharacteristic
65#3330C2211yescharacteristic, complemented
66#3330C2211yescharacteristic, complemented
67#3323—21no—
68#3323—21no—
69#3322—21no—
70#3315—21no—
71#3315—21no—
72#3308—21no—
73#3308—21no—
74#3307—21no—
75#3307—21no—
76#3303C2211yescharacteristic
77#3303C2211yescharacteristic
78#3302C2211yescharacteristic
79#3302C2211yescharacteristic
80#3298C2211yescharacteristic
81#3298C2211yescharacteristic
82#3283C2211yescharacteristic, complemented
83#3267—21no—
84#3256—21no—
85#3252C2211yescharacteristic
86#3239C2211yescharacteristic
87#3232—21no—
88#3231C2211yescharacteristic
89#3231C2211yescharacteristic
90#3230C2211yescharacteristic
91#3230C2211yescharacteristic
92#3193—21no—
93#3188—21no—
94#3185C2211yescharacteristic
95#3178—21no—
96#3139C2211yescharacteristic
97#3125—21no—
98#3120—21no—
99#3110C2211yescharacteristic
100#3107C2211yescharacteristic
101#3105C2211yescharacteristic
102#3102—21no—
103#3101C2211yescharacteristic
104#3095—21no—
105#3092—21no—
106C2×#484—21no—
107#3080—21no—
108#3077C2211yescharacteristic
109#3077C2211yescharacteristic
110#3056—21no—
111#3039C2211yescharacteristic
112#3005—21no—
113#2991C2211yescharacteristic
114#2974C2211yescharacteristic
115#2969C2211yescharacteristic
116#2952—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic
119#2896—21no—
120#1723C2211yescharacteristic, complemented
121#1723C2211yescharacteristic, complemented
122#1718C2211yescharacteristic, complemented
123#1718C2211yescharacteristic, complemented
124#1718C2211yescharacteristic, complemented
125#1718C2211yescharacteristic, complemented
126#1710C2211yescharacteristic, complemented
127#1710C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1703C2211yescharacteristic, complemented
132#1700C2211yescharacteristic, complemented
133#1699C2211yescharacteristic, complemented
134#1699C2211yescharacteristic, complemented
135#1699C2211yescharacteristic, complemented
136#1699C2211yescharacteristic, complemented
137#1699C2211yescharacteristic, complemented
138#1695C2211yescharacteristic, complemented
139#1693C2211yescharacteristic, complemented
140#1693C2211yescharacteristic, complemented
141#1691C2211yescharacteristic, complemented
142#1691C2211yescharacteristic, complemented
143#1689C2211yescharacteristic, complemented
144#1684C2211yescharacteristic, complemented
145#1683C2211yescharacteristic, complemented
146#1683C2211yescharacteristic, complemented
147#1683C2211yescharacteristic, complemented
148#1680C2211yescharacteristic, complemented
149#1680C2211yescharacteristic, complemented
150#1680C2211yescharacteristic, complemented
151#1679C2211yescharacteristic, complemented
152#1679C2211yescharacteristic, complemented
153#1679C2211yescharacteristic, complemented
154#1675C2211yescharacteristic, complemented
155#1674C2211yescharacteristic, complemented
156#1674C2211yescharacteristic, complemented
157#1671C2211yescharacteristic, complemented
158#1671C2211yescharacteristic, complemented
159#1669C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1654C2211yescharacteristic, complemented
162#1652C2211yescharacteristic, complemented
163#1652C2211yescharacteristic, complemented
164#1650C2211yescharacteristic, complemented
165#1649C2211yescharacteristic, complemented
166#1648C2211yescharacteristic, complemented
167#1648C2211yescharacteristic, complemented
168#1647C2211yescharacteristic
169#1647C2211yescharacteristic
170#1647C2211yescharacteristic
171#1647C2211yescharacteristic
172#1647C2211yescharacteristic, complemented
173#1647C2211yescharacteristic, complemented
174#1647C2211yescharacteristic, complemented
175#1647C2211yescharacteristic, complemented
176#1646C2211yescharacteristic, complemented
177#1646C2211yescharacteristic, complemented
178#1644C2211yescharacteristic, complemented
179#1644C2211yescharacteristic, complemented
180#1644C2211yescharacteristic, complemented
181#1643C2211yescharacteristic, complemented
182#1643C2211yescharacteristic, complemented
183#1643C2211yescharacteristic, complemented
184#1638C2211yescharacteristic, complemented
185#1637C2211yescharacteristic, complemented
186#1635C2211yescharacteristic
187#1635C2211yescharacteristic
188#1635C2211yescharacteristic
189#1635C2211yescharacteristic
190#1635C2211yescharacteristic, complemented
191#1635C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1592C2211yescharacteristic, complemented
194#1589C2211yescharacteristic, complemented
195#1589C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1586C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1585C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1581C2211yescharacteristic, complemented
203#1581C2211yescharacteristic, complemented
204#1580C2211yescharacteristic, complemented
205SD16⋊C8C2211yescharacteristic, complemented
206C8×SD16C2211yescharacteristic, complemented
207C8×SD16C2211yescharacteristic, complemented
208#1574C2211yescharacteristic
209#1569C2211yescharacteristic
210#1561C2211yescharacteristic
211#1559C2211yescharacteristic
212#1554C2211yescharacteristic
213#1549C2211yescharacteristic
214#1495C2211yescharacteristic
215#1488C2211yescharacteristic
216#1486C2211yescharacteristic
217#1478C2211yescharacteristic
218#1453C2211yescharacteristic
219C22×#41—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)D411yescharacteristic
222C2×#135—21no—
223C22×M16—21no—
224#557C2311yescharacteristic
225#556C2311yescharacteristic
226#556C2311yescharacteristic
227#555C2311yescharacteristic
228#554—21no—
229#554C2311yescharacteristic
230#554C2311yescharacteristic
231#554C2311yescharacteristic
232#553—21no—
233#553—21no—
234#552—21no—
235#552—21no—
236#552—21no—
237#552—21no—
238#552—21no—
239#552—41no—
240#551—41no—
241#551—41no—
242D4×Q8C2311yescharacteristic
243#548—21no—
244#547—21no—
245#547—21no—
246#547—21no—
247#547—21no—
248#547—21no—
249#547—41no—
250#547C2311yescharacteristic
251#547C2311yescharacteristic
252#547C2311yescharacteristic
253#547C2311yescharacteristic
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#547C2311yescharacteristic
258#546—21no—
259#546—21no—
260#542—21no—
261#541—21no—
262#539—41no—
263#539—41no—
264#533C2311yescharacteristic
265#533C2311yescharacteristic
266#533C2311yescharacteristic
267C2×C4⋊Q8C2311yescharacteristic
268#529—21no—
269#529—21no—
270#529—41no—
271#529C2311yescharacteristic
272C2×#125—21no—
273#525—21no—
274#525—21no—
275C2×#123—41no—
276C2×C22⋊Q8—21no—
277C2×C22⋊Q8—21no—
278C2×#121—21no—
279#520—21no—
280#520—21no—
281C4×#41—21no—
282C4×#41C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×#117—21no—
286C22×C4⋊C4—21no—
287#501—21no—
288#501—21no—
289#500C2311yescharacteristic
290#500C2311yescharacteristic
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#500C2311yescharacteristic
294#500C2311yescharacteristic
295#499—21no—
296#499—21no—
297#498C2311yescharacteristic
298#498C2311yescharacteristic
299#498C2311yescharacteristic
300#497—21no—
301#494C2311yescharacteristic
302#491—21no—
303#491—21no—
304#489—21no—
305#488—21no—
306#488—21no—
307#488—21no—
308#487—21no—
309#487C2311yescharacteristic
310#487C2311yescharacteristic
311#487C2311yescharacteristic
312#487C2311yescharacteristic
313#487C2311yescharacteristic
314#487C2311yescharacteristic
315#487C2311yescharacteristic
316#487C2311yescharacteristic
317#487C2311yescharacteristic
318#487C2311yescharacteristic
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#485—21no—
324#485—21no—
325#485—21no—
326#485—21no—
327#485—21no—
328#485—21no—
329#485—21no—
330#485—21no—
331#485—41no—
332#484—21no—
333#484—21no—
334#484—21no—
335#484—21no—
336#484—21no—
337#484—21no—
338#484—21no—
339#484—21no—
340#484—21no—
341#484—21no—
342#484—21no—
343#484—21no—
344#484—41no—
345#484D411yescharacteristic
346#483—21no—
347#483—21no—
348#483—21no—
349#483—21no—
350#483—21no—
351#483—21no—
352#483—21no—
353#483—21no—
354#482—21no—
355#482—21no—
356#482—21no—
357#481—21no—
358#481—21no—
359#481—21no—
360#481D411yescharacteristic
361#480—21no—
362#480—21no—
363#480—21no—
364#480—21no—
365#480—21no—
366#479—21no—
367#479—21no—
368#479—21no—
369#479—21no—
370#479—21no—
371#479—21no—
372#479—21no—
373#479—41no—
374#478—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478—21no—
379#478—21no—
380#478—21no—
381#478—21no—
382#478D411yescharacteristic
383#478D411yescharacteristic
384#477—21no—
385#477—21no—
386#477—41no—
387#477C2311yescharacteristic
388#476—21no—
389#476C2311yescharacteristic
390#476C2311yescharacteristic
391#476C2311yescharacteristic
392#476C2311yescharacteristic
393#476C2311yescharacteristic
394#476C2311yescharacteristic
395#476C2311yescharacteristic
396#475—21no—
397#475C2311yescharacteristic
398#475C2311yescharacteristic
399#475C2311yescharacteristic
400#474C2311yescharacteristic
401#474C2311yescharacteristic
402#474C2311yescharacteristic
403#474C2311yescharacteristic
404#474C2311yescharacteristic
405#474C2311yescharacteristic
406#474C2311yescharacteristic
407#474C2311yescharacteristic
408#474C2311yescharacteristic
409#470—21no—
410#470—21no—
411#470—21no—
412#470—21no—
413#470—21no—
414#470—21no—
415#470—21no—
416#469—21no—
417#468—21no—
418#468—21no—
419#468—21no—
420#468—21no—
421#468—21no—
422#468—21no—
423#468—21no—
424#468—21no—
425#468—21no—
426#468—21no—
427#467—21no—
428#467—21no—
429#467—21no—
430#466—21no—
431#466—21no—
432#465—21no—
433#465—21no—
434#465—21no—
435#465—21no—
436#465—21no—
437#464—21no—
438#464—21no—
439#464—21no—
440#463—21no—
441#463—21no—
442#463D411yescharacteristic
443#463D411yescharacteristic
444#462—21no—
445#462—21no—
446#462C2311yescharacteristic
447#462C2311yescharacteristic
448#462C2311yescharacteristic
449#462C2311yescharacteristic
450#461—21no—
451#461—21no—
452#461C2311yescharacteristic
453#461C2311yescharacteristic
454#461C2311yescharacteristic
455#461C2311yescharacteristic
456#461C2311yescharacteristic
457#461C2311yescharacteristic
458#461C2311yescharacteristic
459#461C2311yescharacteristic
460#452—21no—
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#450—21no—
470#450—21no—
471#450D411yescharacteristic
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#448—21no—
481#448—21no—
482#447D411yescharacteristic
483#446C2311yescharacteristic
484C8×Q8C2311yescharacteristic
485C8×Q8C2311yescharacteristic
486C8×Q8C2311yescharacteristic
487#442—21no—
488#442D411yescharacteristic
489#442D411yescharacteristic
490#441—21no—
491#441—21no—
492#441—21no—
493#440—21no—
494#440—21no—
495#440D411yescharacteristic
496#440D411yescharacteristic
497C4×Q16—21no—
498C4×Q16—21no—
499C4×SD16—21no—
500C4×SD16—21no—
501C4×SD16—21no—
502C4×SD16—21no—
503C4×SD16—21no—
504C4×SD16—21no—
505C4×SD16—21no—
506C4×SD16C2311yescharacteristic
507C4×SD16C2311yescharacteristic
508C4×SD16C2311yescharacteristic
509C4×SD16C2311yescharacteristic
510C4×D8—21no—
511C4×D8C2311yescharacteristic
512C4×D8C2311yescharacteristic
513C4×D8C2311yescharacteristic
514C4×D8C2311yescharacteristic
515#436—21no—
516#436—21no—
517#436—21no—
518#436C2311yescharacteristic
519#436C2311yescharacteristic
520#436C2311yescharacteristic
521#436C2311yescharacteristic
522#436C2311yescharacteristic
523#436C2311yescharacteristic
524#436C2311yescharacteristic
525#435—21no—
526#435—21no—
527#435—21no—
528#435—21no—
529#435—21no—
530C8×D4C2311yescharacteristic
531C8×D4C2311yescharacteristic
532C8×D4C2311yescharacteristic
533C8×D4C2311yescharacteristic
534C8×D4C2311yescharacteristic
535#433—21no—
536#432C2311yescharacteristic
537#431—21no—
538#431C2311yescharacteristic
539#431C2311yescharacteristic
540#431C2311yescharacteristic
541#428—21no—
542#428—21no—
543#428—21no—
544#428—21no—
545#428—21no—
546#428—21no—
547#428D411yescharacteristic
548C2×#107—21no—
549C2×#107—21no—
550C2×#106—21no—
551#423—21no—
552#423C2311yescharacteristic
553#423C2311yescharacteristic
554#419—21no—
555#419—21no—
556#419—21no—
557#418—21no—
558#418—21no—
559#418D411yescharacteristic
560#417—21no—
561#417—21no—
562#417—21no—
563#417—21no—
564#417—21no—
565#417—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—21no—
570#417D411yescharacteristic
571#416—21no—
572#416—21no—
573#416—21no—
574#416—21no—
575C2×#103—21no—
576C2×#103—21no—
577#407—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
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#332C2311yescharacteristic
603#332C2311yescharacteristic
604#332C2311yescharacteristic
605#332C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—41no—
635C2×#41—41no—
636C2×#41—44no—
637C2×#41—82no—
638C2×#41C2×D411yescharacteristic
639C22×Q8—21no—
640C22×Q8—21no—
641C22×D4—41no—
642C22×D4C2×D411yescharacteristic
643C22×D4C2×D411yescharacteristic
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—41no—
647#137—82no—
648AGL(1,ℤ/8)—42no—
649#135—44no—
650C2×Q16—21no—
651C2×Q16—21no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×SD16—21no—
657C2×SD16—21no—
658C2×SD16—21no—
659C2×SD16—21no—
660C2×SD16—21no—
661C2×SD16—21no—
662C2×SD16—21no—
663C2×SD16—21no—
664C2×SD16C2×D411yescharacteristic
665C2×SD16C2×D411yescharacteristic
666C2×SD16C2×D411yescharacteristic
667C2×SD16C2×D411yescharacteristic
668C2×D8C2×D411yescharacteristic
669C2×D8C2×D411yescharacteristic
670C2×D8C2×D411yescharacteristic
671C2×D8C2×D411yescharacteristic
672C2×M16—21no—
673C2×M16—21no—
674C2×M16—21no—
675C2×M16—21no—
676C2×M16—21no—
677C2×M16—21no—
678C2×M16—21no—
679C2×M16—21no—
680C2×M16—21no—
681C2×M16—82no—
682C2×M16C2×D411yescharacteristic
683C2×M16C2×D411yescharacteristic
684C22×C8—21no—
685C22×C8—21no—
686C22×C8—21no—
687C22×C8—21no—
688C22×C8—21no—
689C4⋊Q8—21no—
690C4⋊Q8—21no—
691C4⋊Q8—21no—
692C4⋊Q8—21no—
693C4⋊Q8—21no—
694C4⋊Q8C2411yescharacteristic
695C4⋊Q8C2411yescharacteristic
696C4⋊Q8C2411yescharacteristic
697C4⋊Q8C2411yescharacteristic
698C4⋊Q8C2411yescharacteristic
699C4⋊Q8C2411yescharacteristic
700C4⋊Q8C2411yescharacteristic
701C4⋊Q8C2411yescharacteristic
702#126—21no—
703#126—41no—
704#126—41no—
705#126—41no—
706#126—41no—
707#126—41no—
708#126—41no—
709#126—41no—
710#126—41no—
711#125—21no—
712#125—21no—
713#125—21no—
714#125—21no—
715#125—21no—
716#125—21no—
717#125—21no—
718#125—41no—
719#125—41no—
720#125—41no—
721#125—41no—
722#125—41no—
723#125—41no—
724#125C2×D411yescharacteristic
725#124—21no—
726#124—21no—
727#124—41no—
728#124—41no—
729#124C2×D411yescharacteristic
730#123—21no—
731#123—41no—
732#123—41no—
733#123—41no—
734#123—41no—
735#123—41no—
736#123—41no—
737#123—41no—
738#123—41no—
739#123—41no—
740#123—41no—
741#123—41no—
742#123—41no—
743#123—41no—
744#123—41no—
745#123—41no—
746#123—41no—
747#123—41no—
748#123—41no—
749#123—41no—
750#123—41no—
751C22⋊Q8—21no—
752C22⋊Q8—21no—
753C22⋊Q8—21no—
754C22⋊Q8—21no—
755C22⋊Q8—21no—
756C22⋊Q8—21no—
757C22⋊Q8—21no—
758C22⋊Q8—21no—
759C22⋊Q8—21no—
760C22⋊Q8—21no—
761C22⋊Q8—21no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—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⋊Q8C2×D411yescharacteristic
781#121—21no—
782#121—21no—
783#121—21no—
784#121—21no—
785#121—21no—
786#121—21no—
787#121—21no—
788#121—21no—
789#121—21no—
790#121—21no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121C2×D411yescharacteristic
797#120—41no—
798#120—41no—
799C4×Q8—21no—
800C4×Q8—21no—
801C4×Q8—21no—
802C4×Q8—21no—
803C4×Q8—21no—
804C4×Q8—21no—
805C4×Q8—21no—
806C4×Q8—21no—
807C4×Q8—21no—
808C4×Q8—21no—
809C4×Q8C2×D411yescharacteristic
810C4×Q8C2411yescharacteristic
811C4×Q8C2411yescharacteristic
812C4×D4—21no—
813C4×D4—21no—
814C4×D4—21no—
815C4×D4—21no—
816C4×D4—21no—
817C4×D4—21no—
818C4×D4—21no—
819C4×D4—21no—
820C4×D4—21no—
821C4×D4—21no—
822C4×D4—21no—
823C4×D4—41no—
824C4×D4—41no—
825C4×D4—41no—
826C4×D4—41no—
827C4×D4—41no—
828C4×D4—41no—
829C4×D4—41no—
830C4×D4—41no—
831C4×D4C2×D411yescharacteristic
832C4×D4C2×D411yescharacteristic
833C4×D4C2×D411yescharacteristic
834C4×D4C2×D411yescharacteristic
835C4×D4C2×D411yescharacteristic
836C4×D4C2411yescharacteristic
837C4×D4C2411yescharacteristic
838C4×D4C2411yescharacteristic
839C4×D4C2411yescharacteristic
840C4×D4C2411yescharacteristic
841C4×D4C2411yescharacteristic
842#117—21no—
843#117—21no—
844#117—21no—
845#117—21no—
846#117—21no—
847#117—21no—
848#117—21no—
849#117—21no—
850#117—21no—
851#117—41no—
852#117—41no—
853#117—41no—
854#117—41no—
855#117—41no—
856#117—41no—
857#117C2×D411yescharacteristic
858C2×C4⋊C4—21no—
859C2×C4⋊C4—21no—
860C2×C4⋊C4—21no—
861C2×C4⋊C4—21no—
862C2×C4⋊C4—21no—
863C2×C4⋊C4—21no—
864C2×C4⋊C4—21no—
865C2×C4⋊C4—21no—
866C2×C4⋊C4—21no—
867C2×C4⋊C4—21no—
868C2×C4⋊C4—21no—
869C2×C4⋊C4—21no—
870C2×C4⋊C4—21no—
871C2×C4⋊C4—41no—
872C2×C4⋊C4—41no—
873C2×C4⋊C4—41no—
874C2×C4⋊C4—41no—
875C2×C4⋊C4—41no—
876C2×C4⋊C4—41no—
877C2×C4⋊C4C2×D411yescharacteristic
878C2×C4⋊C4C2×D411yescharacteristic
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—41no—
882C2×C22⋊C4—41no—
883C2×C22⋊C4—41no—
884C2×C42—21no—
885C2×C42—41no—
886C2×C42C2411yescharacteristic
887#107—21no—
888#107—21no—
889#107—21no—
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—41no—
904#107—41no—
905#107—41no—
906#107C2×D411yescharacteristic
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
909#107C2×D411yescharacteristic
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—41no—
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927#106C2×D411yescharacteristic
928#106C2×D411yescharacteristic
929C4⋊C8—21no—
930C4⋊C8—21no—
931C4⋊C8—21no—
932C4⋊C8—21no—
933C4⋊C8—21no—
934C4⋊C8—21no—
935C4⋊C8—21no—
936C4⋊C8C2×D411yescharacteristic
937C4⋊C8C2×D411yescharacteristic
938C4⋊C8C2411yescharacteristic
939C4⋊C8C2411yescharacteristic
940C4⋊C8C2411yescharacteristic
941C4⋊C8C2411yescharacteristic
942C4⋊C8C2411yescharacteristic
943C4⋊C8C2411yescharacteristic
944C4⋊C8C2411yescharacteristic
945C4⋊C8C2411yescharacteristic
946#103—21no—
947#103—21no—
948#103—21no—
949#103—21no—
950#103—21no—
951#103—21no—
952#103—21no—
953#103—21no—
954#103—21no—
955#103—21no—
956#103—21no—
957#103—21no—
958#103—21no—
959#103—21no—
960#103—21no—
961#103—21no—
962#103—21no—
963#103—21no—
964#103—21no—
965#103—21no—
966#103—21no—
967#103—21no—
968#103—21no—
969#103—21no—
970#103—21no—
971#103—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—41no—
983#103—41no—
984#103—41no—
985#103—41no—
986#103C2×D411yescharacteristic
987#103C2×D411yescharacteristic
988#103C2×D411yescharacteristic
989#103C2×D411yescharacteristic
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#102C2×D411yescharacteristic
1007#102C2×D411yescharacteristic
1008#102C2×D411yescharacteristic
1009#102C2×D411yescharacteristic
1010#102C2×D411yescharacteristic
1011#102C2×D411yescharacteristic
1012#102C2×D411yescharacteristic
1013#102C2×D411yescharacteristic
1014#102C2×D411yescharacteristic
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018C22⋊C8—21no—
1019C22⋊C8—21no—
1020C22⋊C8—21no—
1021C22⋊C8—21no—
1022C22⋊C8—21no—
1023C22⋊C8—21no—
1024C22⋊C8—21no—
1025C22⋊C8—21no—
1026C22⋊C8—21no—
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8C2×D411yescharacteristic
1034C22⋊C8C2×D411yescharacteristic
1035#97—21no—
1036#97—21no—
1037#97C2×D411yescharacteristic
1038#97C2×D411yescharacteristic
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C24—21no—
1050C24—21no—
1051#41—41no—
1052#41—41no—
1053#41—42no—
1054#41—42no—
1055#41—42no—
1056#41—42no—
1057#41—42no—
1058#41—42no—
1059#41—42no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—84no—
1068#41—84no—
1069#41—81no—
1070#41—81no—
1071C2×Q8—21no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—41no—
1080C2×Q8—42no—
1081C2×Q8—42no—
1082C2×Q8—41no—
1083C2×Q8—81no—
1084C2×Q8—81no—
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
1087C2×D4—22no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
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—84no—
1105C2×D4C22×D411yescharacteristic
1106C2×D4C22×D411yescharacteristic
1107C2×D4C22×D411yescharacteristic
1108C2×D4C22×D411yescharacteristic
1109C2×D4C22×D411yescharacteristic
1110C2×D4C22×D411yescharacteristic
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—21no—
1114C22×C4—21no—
1115C22×C4—21no—
1116C22×C4—21no—
1117C22×C4—21no—
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—42no—
1126C22×C4—42no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
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—81no—
1141C22×C4—81no—
1142C22×C4—84no—
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4H(5,𝔽2)11yescharacteristic
1146Q16—42no—
1147Q16—81no—
1148Q16—81no—
1149Q16—81no—
1150Q16—81no—
1151Q16—81no—
1152SD16—22no—
1153SD16—41no—
1154SD16—41no—
1155SD16—41no—
1156SD16—42no—
1157SD16—42no—
1158SD16—81no—
1159SD16—81no—
1160SD16—81no—
1161SD16—81no—
1162SD16—81no—
1163SD16—81no—
1164D8—22no—
1165D8—41no—
1166D8—41no—
1167D8—41no—
1168M16—41no—
1169M16—41no—
1170M16—42no—
1171M16—81no—
1172M16—81no—
1173M16—81no—
1174M16—81no—
1175M16—81no—
1176M16—81no—
1177M16—81no—
1178M16—81no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—21no—
1186C2×C8—21no—
1187C2×C8—21no—
1188C2×C8—21no—
1189C2×C8—42no—
1190C2×C8—81no—
1191C2×C8—81no—
1192C2×C8—81no—
1193C2×C8—81no—
1194C2×C8C22×D411yescharacteristic
1195C2×C8C22×D411yescharacteristic
1196C2×C8C22×D411yescharacteristic
1197C2×C8C22×D411yescharacteristic
1198C2×C8C22×D411yescharacteristic
1199C2×C8C22×D411yescharacteristic
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
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—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
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⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
1256C4⋊C4C22×D411yescharacteristic
1257C4⋊C4C22×D411yescharacteristic
1258C4⋊C4C22×D411yescharacteristic
1259C4⋊C4C22×D411yescharacteristic
1260C4⋊C4C22×D411yescharacteristic
1261C4⋊C4C22×D411yescharacteristic
1262C22⋊C4—21no—
1263C22⋊C4—21no—
1264C22⋊C4—21no—
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—41no—
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—
1298C22⋊C4—41no—
1299C42—21no—
1300C42—21no—
1301C42—21no—
1302C42—21no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42C22×D411yescharacteristic
1311C42C22×D411yescharacteristic
1312C42H(5,𝔽2)11yescharacteristic
1313C42C2511yescharacteristic
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—42no—
1321C23—42no—
1322C23—42no—
1323C23—81no—
1324C23—81no—
1325C23—81no—
1326C23D4211yescharacteristic
1327Q8—21no—
1328Q8—21no—
1329Q8—21no—
1330Q8—21no—
1331Q8—41no—
1332Q8—41no—
1333Q8—41no—
1334Q8—41no—
1335Q8—41no—
1336Q8—41no—
1337Q8—41no—
1338Q8—41no—
1339Q8—41no—
1340Q8—41no—
1341Q8—41no—
1342Q8—41no—
1343Q8—81no—
1344Q8—81no—
1345Q8—82no—
1346Q8—161no—
1347D4—21no—
1348D4—21no—
1349D4—21no—
1350D4—21no—
1351D4—21no—
1352D4—21no—
1353D4—21no—
1354D4—21no—
1355D4—21no—
1356D4—21no—
1357D4—21no—
1358D4—42no—
1359D4—81no—
1360D4—81no—
1361D4—81no—
1362D4—82no—
1363D4—82no—
1364D4—82no—
1365D4—82no—
1366D4—82no—
1367D4—82no—
1368D4—82no—
1369D4—161no—
1370D4—161no—
1371D4#57512yes—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—41no—
1387C2×C4—42no—
1388C2×C4—42no—
1389C2×C4—42no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—41no—
1393C2×C4—41no—
1394C2×C4—41no—
1395C2×C4—41no—
1396C2×C4—41no—
1397C2×C4—41no—
1398C2×C4—41no—
1399C2×C4—41no—
1400C2×C4—41no—
1401C2×C4—41no—
1402C2×C4—41no—
1403C2×C4—41no—
1404C2×C4—41no—
1405C2×C4—41no—
1406C2×C4—41no—
1407C2×C4—41no—
1408C2×C4—41no—
1409C2×C4—41no—
1410C2×C4—81no—
1411C2×C4—81no—
1412C2×C4—81no—
1413C2×C4—81no—
1414C2×C4—81no—
1415C2×C4—82no—
1416C2×C4—82no—
1417C2×C4—82no—
1418C2×C4—82no—
1419C2×C4—82no—
1420C2×C4—82no—
1421C2×C4—82no—
1422C2×C4—82no—
1423C2×C4—161no—
1424C2×C4—161no—
1425C2×C4—161no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4D4211yescharacteristic
1429C2×C4D4211yescharacteristic
1430C2×C4D4211yescharacteristic
1431C2×C4C23×D411yescharacteristic
1432C2×C4C23×D411yescharacteristic
1433C2×C4C2×H(5,𝔽2)11yescharacteristic
1434C8—21no—
1435C8—21no—
1436C8—21no—
1437C8—21no—
1438C8—21no—
1439C8—21no—
1440C8—21no—
1441C8—21no—
1442C8—41no—
1443C8—41no—
1444C8—41no—
1445C8—41no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C22—21no—
1453C22—22no—
1454C22—21no—
1455C22—21no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—84no—
1474C22—162no—
1475C22C2×D4211yescharacteristic
1476C4—21no—
1477C4—21no—
1478C4—21no—
1479C4—21no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—81no—
1491C4—81no—
1492C4—81no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4C2×#57511yescharacteristic
1499C4#358411yescharacteristic
1500C4#358511yescharacteristic
1501C4#358611yescharacteristic
1502C2—41no—
1503C2—42no—
1504C2—81no—
1505C2—81no—
1506C2—81no—
1507C2—81no—
1508C2—81no—
1509C2#6106611yescharacteristic
1510C2#6107311yescharacteristic
1511C2#6110811yescharacteristic
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. #62152C2semidirect
2. #61737C2semidirect
3. #61541C2semidirect
4. #61159C2semidirect
5. #20304C2semidirect
6. #20263C2semidirect
7. #20251C2semidirect
8. #20242C2semidirect
9. #20178C2semidirect
10. #20140C2semidirect
11. #20104C2semidirect
12. #20056C2semidirect
13. #20041C2semidirect
14. #19998C2semidirect
15. #19956C2semidirect
16. #19903C2semidirect
17. #19859C2semidirect
18. #19824C2semidirect
19. #19822C2semidirect
20. #19778C2semidirect
21. #19732C2semidirect
22. #19502C2semidirect
23. #19466C2semidirect
24. #19381C2semidirect
25. #19307C2semidirect
26. #18844C2semidirect
27. #18823C2semidirect
28. #18807C2semidirect
29. #18783C2semidirect
30. #18052C2semidirect
31. #18008C2semidirect
36. #3398C22semidirect
37. #3384C22semidirect
38. #3381C22semidirect
39. #3380C22semidirect
40. #3364C22semidirect
41. #3360C22semidirect
42. #3360C22semidirect
43. #3359C22semidirect
44. #3357C22semidirect
45. #3354C22semidirect
53. #3335C22semidirect
59. #3331C22semidirect
60. #3331C22semidirect
65. #3330C22semidirect
66. #3330C22semidirect
82. #3283C22semidirect
120. #1723C22semidirect
121. #1723C22semidirect
122. #1718C22semidirect
123. #1718C22semidirect
124. #1718C22semidirect
125. #1718C22semidirect
126. #1710C22semidirect
127. #1710C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1703C22semidirect
132. #1700C22semidirect
133. #1699C22semidirect
134. #1699C22semidirect
135. #1699C22semidirect
136. #1699C22semidirect
137. #1699C22semidirect
138. #1695C22semidirect
139. #1693C22semidirect
140. #1693C22semidirect
141. #1691C22semidirect
142. #1691C22semidirect
143. #1689C22semidirect
144. #1684C22semidirect
145. #1683C22semidirect
146. #1683C22semidirect
147. #1683C22semidirect
148. #1680C22semidirect
149. #1680C22semidirect
150. #1680C22semidirect
151. #1679C22semidirect
152. #1679C22semidirect
153. #1679C22semidirect
154. #1675C22semidirect
155. #1674C22semidirect
156. #1674C22semidirect
157. #1671C22semidirect
158. #1671C22semidirect
159. #1669C22semidirect
160. #1654C22semidirect
161. #1654C22semidirect
162. #1652C22semidirect
163. #1652C22semidirect
164. #1650C22semidirect
165. #1649C22semidirect
166. #1648C22semidirect
167. #1648C22semidirect
172. #1647C22semidirect
173. #1647C22semidirect
174. #1647C22semidirect
175. #1647C22semidirect
176. #1646C22semidirect
177. #1646C22semidirect
178. #1644C22semidirect
179. #1644C22semidirect
180. #1644C22semidirect
181. #1643C22semidirect
182. #1643C22semidirect
183. #1643C22semidirect
184. #1638C22semidirect
185. #1637C22semidirect
190. #1635C22semidirect
191. #1635C22semidirect
192. #1594C22semidirect
193. #1592C22semidirect
194. #1589C22semidirect
195. #1589C22semidirect
196. #1588C22semidirect
197. #1586C22semidirect
198. #1586C22semidirect
199. #1585C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1581C22semidirect
203. #1581C22semidirect
204. #1580C22semidirect
205. SD16⋊C8C22semidirect
206. C8×SD16C22semidirect
207. C8×SD16C22semidirect

Maximal subgroups

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

subgroupindex
#621522
#617372
#615412
#611592
#203042
#202632
#202512
#202422
#201782
#201402
#201042
#200562
#200412
#199982
#199562
#199032
#198592
#198242
#198222
#197782
#197322
#195022
#194662
#193812
#193072
#188442
#188232
#188072
#187832
#180522
#180082