Finite Group Databasebeta

← #6366855

Subgroups — #6366855

Order 512.

1558 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#62551C211yesmaximal, characteristic, complemented
2#62263C211yesmaximal, characteristic, complemented
3#62200C211yesmaximal, characteristic, complemented
4#62199C211yesmaximal, characteristic, complemented
5#20247C211yesmaximal, characteristic, complemented
6#20246C211yesmaximal, characteristic, complemented
7#20245C211yesmaximal, characteristic, complemented
8#20239C211yesmaximal, characteristic, complemented
9#20231C211yesmaximal, characteristic, complemented
10#20229C211yesmaximal, characteristic, complemented
11#20219C211yesmaximal, characteristic, complemented
12#20210C211yesmaximal, characteristic, complemented
13#20203C211yesmaximal, characteristic, complemented
14#20193C211yesmaximal, characteristic, complemented
15#20166C211yesmaximal, characteristic, complemented
16#20164C211yesmaximal, characteristic, complemented
17#19829C211yesmaximal, characteristic, complemented
18#19823C211yesmaximal, characteristic, complemented
19#19781C211yesmaximal, characteristic, complemented
20#19775C211yesmaximal, characteristic, complemented
21#19674C211yesmaximal, characteristic, complemented
22#19591C211yesmaximal, characteristic, complemented
23#19589C211yesmaximal, characteristic, complemented
24#19227C211yesmaximal, characteristic, complemented
25C2×#1703C211yesmaximal, characteristic, complemented
26#18726C211yesmaximal, characteristic, complemented
27#18713C211yesmaximal, characteristic, complemented
28#18571C211yesmaximal, characteristic, complemented
29#18563C211yesmaximal, characteristic, complemented
30#18093C211yesmaximal, characteristic, complemented
31#17938C211yesmaximal, characteristic, complemented
32#3552C2211yescharacteristic, complemented
33#3544C2211yescharacteristic, complemented
34#3519C2211yescharacteristic
35#3519C2211yescharacteristic
36#3385C2211yescharacteristic, complemented
37#3384C2211yescharacteristic, complemented
38#3381C2211yescharacteristic, complemented
39#3380C2211yescharacteristic, complemented
40#3372C2211yescharacteristic, complemented
41#3369C2211yescharacteristic, complemented
42#3368C2211yescharacteristic
43#3366C2211yescharacteristic
44#3363C2211yescharacteristic, complemented
45#3362C2211yescharacteristic
46#3360C2211yescharacteristic, complemented
47#3358C2211yescharacteristic
48#3357C2211yescharacteristic
49#3357C2211yescharacteristic
50#3357C2211yescharacteristic
51#3355—21no—
52#3354C2211yescharacteristic
53#3346—21no—
54#3345—21no—
55#3341C2211yescharacteristic
56#3340C2211yescharacteristic
57#3339—21no—
58#3337—21no—
59#3333C2211yescharacteristic
60#3333C2211yescharacteristic
61#3331C2211yescharacteristic, complemented
62#3329C2211yescharacteristic, complemented
63#3325C2211yescharacteristic
64#3325C2211yescharacteristic
65#3325C2211yescharacteristic, complemented
66#3324C2211yescharacteristic, complemented
67#3322—21no—
68#3322—21no—
69#3318—21no—
70#3312—21no—
71#3310—21no—
72#3308—21no—
73#3303C2211yescharacteristic, complemented
74#3300—21no—
75#3299C2211yescharacteristic, complemented
76#3298—21no—
77#3295—21no—
78#3295C2211yescharacteristic, complemented
79#3294—21no—
80#3294C2211yescharacteristic, complemented
81#3274C2211yescharacteristic
82#3274C2211yescharacteristic
83#3273—21no—
84#3257—21no—
85#3257—21no—
86#3247C2211yescharacteristic
87#3247C2211yescharacteristic
88#3247C2211yescharacteristic, complemented
89#3247C2211yescharacteristic, complemented
90#3242—21no—
91#3241—21no—
92#3241—21no—
93#3238C2211yescharacteristic, complemented
94#3227C2211yescharacteristic, complemented
95#3226C2211yescharacteristic, complemented
96#3225—21no—
97#3218C2211yescharacteristic, complemented
98#3191—21no—
99#3186—21no—
100#3178—21no—
101#3169C2211yescharacteristic
102#3168C2211yescharacteristic
103#3152C2211yescharacteristic, complemented
104#3141C2211yescharacteristic, complemented
105#3137—21no—
106C2×#487C2211yescharacteristic, complemented
107#3118—21no—
108#3118—21no—
109#3105C2211yescharacteristic
110#3081—21no—
111#3081—21no—
112C2×#476C2211yescharacteristic
113C2×#474C2211yescharacteristic
114#3055—21no—
115#3055—21no—
116#2994C2211yescharacteristic, complemented
117#2994C2211yescharacteristic, complemented
118#2966C2211yescharacteristic, complemented
119C2×#436C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1723C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1720C2211yescharacteristic, complemented
124#1719C2211yescharacteristic, complemented
125#1719C2211yescharacteristic, complemented
126#1717C2211yescharacteristic, complemented
127#1717C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1703C2211yescharacteristic, complemented
131#1703C2211yescharacteristic, complemented
132#1703C2211yescharacteristic, complemented
133#1703C2211yescharacteristic, complemented
134#1703C2211yescharacteristic, complemented
135#1703C2211yescharacteristic, complemented
136#1702C2211yescharacteristic, complemented
137#1701C2211yescharacteristic, complemented
138#1698C2211yescharacteristic, complemented
139#1697C2211yescharacteristic, complemented
140#1696C2211yescharacteristic, complemented
141#1696C2211yescharacteristic, complemented
142#1695C2211yescharacteristic, complemented
143#1695C2211yescharacteristic, complemented
144#1692C2211yescharacteristic, complemented
145#1691C2211yescharacteristic, complemented
146#1688C2211yescharacteristic, complemented
147#1687C2211yescharacteristic, complemented
148#1682C2211yescharacteristic, complemented
149#1681C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1678C2211yescharacteristic, complemented
152#1678C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1677C2211yescharacteristic, complemented
155#1677C2211yescharacteristic, complemented
156#1676C2211yescharacteristic, complemented
157#1675C2211yescharacteristic, complemented
158#1672C2211yescharacteristic, complemented
159#1671C2211yescharacteristic, complemented
160#1646C2211yescharacteristic
161#1646C2211yescharacteristic
162#1644C2211yescharacteristic, complemented
163#1644C2211yescharacteristic, complemented
164#1641C2211yescharacteristic
165#1641C2211yescharacteristic
166#1639C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1637C2211yescharacteristic, complemented
170#1636C2211yescharacteristic, complemented
171#1635C2211yescharacteristic, complemented
172#1634C2211yescharacteristic
173#1634C2211yescharacteristic
174#1634C2211yescharacteristic, complemented
175#1633C2211yescharacteristic, complemented
176#1632C2211yescharacteristic, complemented
177#1632C2211yescharacteristic, complemented
178#1632C2211yescharacteristic, complemented
179#1632C2211yescharacteristic, complemented
180#1631C2211yescharacteristic
181#1631C2211yescharacteristic
182#1629C2211yescharacteristic, complemented
183#1629C2211yescharacteristic, complemented
184#1628C2211yescharacteristic, complemented
185#1627C2211yescharacteristic, complemented
186#1626C2211yescharacteristic, complemented
187#1625C2211yescharacteristic, complemented
188#1624C2211yescharacteristic, complemented
189#1623C2211yescharacteristic, complemented
190#1622C2211yescharacteristic, complemented
191#1622C2211yescharacteristic, complemented
192#1594C2211yescharacteristic, complemented
193#1594C2211yescharacteristic, complemented
194#1594C2211yescharacteristic, complemented
195#1593C2211yescharacteristic, complemented
196#1592C2211yescharacteristic, complemented
197#1592C2211yescharacteristic, complemented
198#1583C2211yescharacteristic, complemented
199#1583C2211yescharacteristic, complemented
200#1583C2211yescharacteristic, complemented
201#1583C2211yescharacteristic, complemented
202#1582C2211yescharacteristic, complemented
203#1582C2211yescharacteristic, complemented
204#1581C2211yescharacteristic, complemented
205#1581C2211yescharacteristic, complemented
206#1580C2211yescharacteristic, complemented
207#1579C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209C2×#334C2211yescharacteristic, complemented
210#1551C2211yescharacteristic, complemented
211#1551C2211yescharacteristic, complemented
212C2×#333C2211yescharacteristic, complemented
213C2×#332C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1483C2211yescharacteristic, complemented
216#1483C2211yescharacteristic, complemented
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×#137—41no—
220C2×AGL(1,ℤ/8)—21no—
221C2×AGL(1,ℤ/8)—21no—
222C22×M16—21no—
223#563—41no—
224#563—41no—
225Q82C2311yescharacteristic
226#557C2311yescharacteristic
227#556C2311yescharacteristic
228#555C2311yescharacteristic
229#555C2311yescharacteristic
230#555C2311yescharacteristic
231#554—21no—
232#554C2311yescharacteristic
233#554C2311yescharacteristic
234#554C2311yescharacteristic
235#554C2311yescharacteristic
236#553—21no—
237#553—21no—
238#553—21no—
239#553—21no—
240#553—21no—
241#552—21no—
242#552—21no—
243#550C2311yescharacteristic
244#550C2311yescharacteristic
245D4×Q8—21no—
246D4×Q8C2311yescharacteristic
247#548—21no—
248#547—21no—
249#547—21no—
250#547C2311yescharacteristic
251#546—21no—
252#546—21no—
253#546—41no—
254#546—41no—
255D42—21no—
256D42—21no—
257D42C2311yescharacteristic
258D42C2311yescharacteristic
259#544—21no—
260#544—21no—
261#544—21no—
262#542—21no—
263#542—21no—
264#542—21no—
265#541—21no—
266#540—21no—
267#540—21no—
268#539—41no—
269#538—41no—
270#538—41no—
271#536—21no—
272#536—41no—
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275C2×C4⋊Q8C2311yescharacteristic
276C2×C4⋊Q8C2311yescharacteristic
277#529C2311yescharacteristic
278#529C2311yescharacteristic
279#529C2311yescharacteristic
280#525—21no—
281#525—21no—
282C2×#121—21no—
283C2×#121—21no—
284#518—21no—
285#518—21no—
286C2×C4×D4C2311yescharacteristic
287#501—21no—
288#501—21no—
289#501—21no—
290#500C2311yescharacteristic
291#500C2311yescharacteristic
292#500C2311yescharacteristic
293#499—21no—
294#499—21no—
295#499D411yescharacteristic
296#498C2311yescharacteristic
297#498C2311yescharacteristic
298#497—21no—
299#497—41no—
300#495D411yescharacteristic
301#494C2311yescharacteristic
302#494C2311yescharacteristic
303#493C2311yescharacteristic
304#492C2311yescharacteristic
305#492C2311yescharacteristic
306#491—21no—
307#491—21no—
308#490—21no—
309#490—21no—
310#489—21no—
311#489—21no—
312#489—41no—
313#488—21no—
314#488D411yescharacteristic
315#488D411yescharacteristic
316#487—21no—
317#487—21no—
318#487—21no—
319#487C2311yescharacteristic
320#487C2311yescharacteristic
321#487C2311yescharacteristic
322#487C2311yescharacteristic
323#487C2311yescharacteristic
324#487C2311yescharacteristic
325#486—21no—
326#486—21no—
327#486C2311yescharacteristic
328#486C2311yescharacteristic
329#486C2311yescharacteristic
330#486C2311yescharacteristic
331#486C2311yescharacteristic
332#486C2311yescharacteristic
333#486C2311yescharacteristic
334#486C2311yescharacteristic
335#485—21no—
336#485—21no—
337#485—21no—
338#485—21no—
339#485—21no—
340#485—21no—
341#484—21no—
342#484D411yescharacteristic
343#483—21no—
344#483—21no—
345#482—21no—
346#482—21no—
347#482—21no—
348#482—21no—
349#482—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#481—21no—
354#481—21no—
355#481—21no—
356#481—21no—
357#481D411yescharacteristic
358#480—21no—
359#480—21no—
360#480—21no—
361#480—21no—
362#480—21no—
363#480—21no—
364#480—21no—
365#480—21no—
366#480—21no—
367#479—21no—
368#479—21no—
369#479—21no—
370#479—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478—21no—
375#478—21no—
376#478—21no—
377#478—21no—
378#478—21no—
379#478—21no—
380#478—21no—
381#478D411yescharacteristic
382#478D411yescharacteristic
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#476C2311yescharacteristic
397#476C2311yescharacteristic
398#476C2311yescharacteristic
399#476C2311yescharacteristic
400#476C2311yescharacteristic
401#476C2311yescharacteristic
402#476C2311yescharacteristic
403#476C2311yescharacteristic
404#476C2311yescharacteristic
405#476C2311yescharacteristic
406#475—21no—
407#474—21no—
408#474—21no—
409#474—21no—
410#474—21no—
411#474—21no—
412#474—21no—
413#474C2311yescharacteristic
414#474C2311yescharacteristic
415#474C2311yescharacteristic
416#474C2311yescharacteristic
417#470—21no—
418#469—21no—
419#469—21no—
420#469—21no—
421#469—21no—
422#469—21no—
423#469—21no—
424#468—21no—
425#468—21no—
426#468—21no—
427#468—21no—
428#468—21no—
429#468—21no—
430#468—21no—
431#467—21no—
432#467D411yescharacteristic
433#466—21no—
434#466—21no—
435#466—21no—
436#466—21no—
437#466—21no—
438#466—21no—
439#466—21no—
440#466—21no—
441#466D411yescharacteristic
442#465—21no—
443#465—21no—
444#465—21no—
445#465—21no—
446#465—21no—
447#465—21no—
448#465—21no—
449#465D411yescharacteristic
450#465D411yescharacteristic
451#464—21no—
452#463—21no—
453#463—21no—
454#463—21no—
455#463—21no—
456#463—21no—
457#463D411yescharacteristic
458#463D411yescharacteristic
459#462—21no—
460#462C2311yescharacteristic
461#462C2311yescharacteristic
462#461—21no—
463#461C2311yescharacteristic
464#461C2311yescharacteristic
465#460—21no—
466#460—21no—
467#460C2311yescharacteristic
468#460C2311yescharacteristic
469#460C2311yescharacteristic
470#460C2311yescharacteristic
471#459—21no—
472#459—21no—
473#459C2311yescharacteristic
474#459C2311yescharacteristic
475#459C2311yescharacteristic
476#459C2311yescharacteristic
477#452—21no—
478#452—21no—
479#452—21no—
480#451—21no—
481#451—21no—
482#450—21no—
483#450—21no—
484#450D411yescharacteristic
485#449—21no—
486#449—21no—
487#449—21no—
488#448—21no—
489#448—21no—
490#447—21no—
491#447—21no—
492#447—21no—
493#447—21no—
494#447—21no—
495#447—21no—
496#447D411yescharacteristic
497#446C2311yescharacteristic
498#446C2311yescharacteristic
499#446C2311yescharacteristic
500C8×Q8C2311yescharacteristic
501C8×Q8C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503#442—21no—
504#442—21no—
505#441—21no—
506#440—21no—
507#440—21no—
508#440—21no—
509C4×Q16—21no—
510C4×Q16C2311yescharacteristic
511C4×SD16—21no—
512C4×SD16—21no—
513C4×SD16—21no—
514C4×SD16C2311yescharacteristic
515C4×SD16C2311yescharacteristic
516C4×SD16C2311yescharacteristic
517C4×SD16C2311yescharacteristic
518C4×D8—21no—
519C4×D8—21no—
520C4×D8—21no—
521C4×D8—21no—
522C4×D8C2311yescharacteristic
523C4×D8C2311yescharacteristic
524C4×D8C2311yescharacteristic
525#436—21no—
526#436—21no—
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#436C2311yescharacteristic
530#436C2311yescharacteristic
531#436C2311yescharacteristic
532#436C2311yescharacteristic
533#436C2311yescharacteristic
534#435—21no—
535#435—21no—
536#435—21no—
537C8×D4—21no—
538C8×D4—21no—
539C8×D4—21no—
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic
542C8×D4C2311yescharacteristic
543#433—21no—
544#433—21no—
545#433—21no—
546#432C2311yescharacteristic
547#431C2311yescharacteristic
548#428—21no—
549#428—21no—
550#428—21no—
551#428—21no—
552#427—21no—
553#427—21no—
554C2×#107—21no—
555C2×#106—21no—
556#424—21no—
557#424—21no—
558C2×C4⋊C8C2311yescharacteristic
559C2×C4⋊C8C2311yescharacteristic
560C2×C4⋊C8C2311yescharacteristic
561#419—21no—
562#418—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#417—21no—
567#417—21no—
568#417—21no—
569#417—41no—
570#416—21no—
571C2×#103—21no—
572C2×#103—21no—
573C2×#103—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577C2×#102—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
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
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
625#322C2311yescharacteristic
626C2×#41—21no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—41no—
632C22×Q8—21no—
633C22×Q8—21no—
634C22×Q8—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—41no—
640C22×D4—41no—
641C22×D4C2×D411yescharacteristic
642C23×C4—21no—
643#137—84no—
644AGL(1,ℤ/8)—82no—
645AGL(1,ℤ/8)—82no—
646C2×Q16—21no—
647C2×Q16—21no—
648C2×Q16—41no—
649C2×Q16—41no—
650C2×Q16C2×D411yescharacteristic
651C2×SD16—21no—
652C2×SD16—21no—
653C2×SD16—21no—
654C2×SD16—21no—
655C2×SD16—21no—
656C2×SD16—21no—
657C2×SD16—41no—
658C2×SD16—41no—
659C2×SD16C2×D411yescharacteristic
660C2×SD16C2×D411yescharacteristic
661C2×SD16C2×D411yescharacteristic
662C2×SD16C2×D411yescharacteristic
663C2×D8—21no—
664C2×D8—21no—
665C2×D8—21no—
666C2×D8—21no—
667C2×D8—21no—
668C2×D8—21no—
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—82no—
681C22×C8—21no—
682C22×C8—21no—
683C22×C8—21no—
684C22×C8—21no—
685C22×C8—21no—
686C22×C8—21no—
687C22×C8C2×D411yescharacteristic
688C22×C8C2×D411yescharacteristic
689C4⋊Q8—21no—
690C4⋊Q8—21no—
691C4⋊Q8—21no—
692C4⋊Q8—21no—
693C4⋊Q8—21no—
694C4⋊Q8—21no—
695C4⋊Q8—21no—
696C4⋊Q8—21no—
697C4⋊Q8—21no—
698C4⋊Q8—21no—
699C4⋊Q8—41no—
700C4⋊Q8—41no—
701C4⋊Q8—41no—
702C4⋊Q8C2411yescharacteristic
703C4⋊Q8C2411yescharacteristic
704C4⋊Q8C2411yescharacteristic
705C4⋊Q8C2411yescharacteristic
706C4⋊Q8C2411yescharacteristic
707C4⋊Q8C2411yescharacteristic
708#127—21no—
709#127—21no—
710#127C2411yescharacteristic
711#127C2411yescharacteristic
712#126—21no—
713#126—21no—
714#126—21no—
715#126—41no—
716#126—41no—
717#126—41no—
718#126—41no—
719#126—41no—
720#126—41no—
721#126—41no—
722#125—21no—
723#125—21no—
724#125—21no—
725#125—21no—
726#125—21no—
727#125—41no—
728#125—41no—
729#125—41no—
730#125—41no—
731#125—41no—
732#125C2×D411yescharacteristic
733#125C2×D411yescharacteristic
734#125C2×D411yescharacteristic
735#124—21no—
736#124—21no—
737#124—21no—
738#124—41no—
739#124—41no—
740#124—41no—
741#124—41no—
742#124—41no—
743#124C2×D411yescharacteristic
744#124C2×D411yescharacteristic
745#124C2×D411yescharacteristic
746#123—21no—
747#123—21no—
748#123—21no—
749#123—41no—
750#123—41no—
751#123—41no—
752#123—41no—
753#123—41no—
754#123—41no—
755#123—41no—
756#123—41no—
757#123—41no—
758#123—41no—
759#123—41no—
760#123—41no—
761#123—41no—
762C22⋊Q8—21no—
763C22⋊Q8—21no—
764C22⋊Q8—21no—
765C22⋊Q8—21no—
766C22⋊Q8—21no—
767C22⋊Q8—21no—
768C22⋊Q8—21no—
769C22⋊Q8—41no—
770C22⋊Q8—41no—
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⋊Q8C2×D411yescharacteristic
784C22⋊Q8C2×D411yescharacteristic
785C22⋊Q8C2×D411yescharacteristic
786#121—21no—
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—21no—
801#121—21no—
802#121—21no—
803#121—41no—
804#121—41no—
805#121—41no—
806#121—41no—
807#121—41no—
808#121—41no—
809#121—41no—
810#121—41no—
811#121—41no—
812#121—41no—
813#121—41no—
814#121C2×D411yescharacteristic
815#121C2×D411yescharacteristic
816#121C2×D411yescharacteristic
817#120—41no—
818#120—41no—
819#120—41no—
820#120—41no—
821#120—41no—
822#120—41no—
823C4×Q8—21no—
824C4×Q8—21no—
825C4×Q8—21no—
826C4×Q8—21no—
827C4×Q8—21no—
828C4×Q8C2411yescharacteristic
829C4×Q8C2411yescharacteristic
830C4×Q8C2411yescharacteristic
831C4×D4—21no—
832C4×D4—21no—
833C4×D4—21no—
834C4×D4—21no—
835C4×D4—21no—
836C4×D4—21no—
837C4×D4—21no—
838C4×D4—21no—
839C4×D4—21no—
840C4×D4—21no—
841C4×D4—21no—
842C4×D4—21no—
843C4×D4—21no—
844C4×D4—21no—
845C4×D4—21no—
846C4×D4—21no—
847C4×D4—41no—
848C4×D4—41no—
849C4×D4—41no—
850C4×D4—41no—
851C4×D4—41no—
852C4×D4—41no—
853C4×D4—41no—
854C4×D4—41no—
855C4×D4C2×D411yescharacteristic
856C4×D4C2×D411yescharacteristic
857C4×D4C2411yescharacteristic
858C4×D4C2411yescharacteristic
859C4×D4C2411yescharacteristic
860C4×D4C2411yescharacteristic
861C4×D4C2411yescharacteristic
862#117—21no—
863#117—21no—
864#117—21no—
865#117—21no—
866#117—21no—
867#117—21no—
868#117—21no—
869#117—21no—
870#117—21no—
871#117—21no—
872#117—41no—
873C2×C4⋊C4—21no—
874C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
883C2×C22⋊C4—21no—
884C2×C22⋊C4—41no—
885C2×C22⋊C4—41no—
886C2×C22⋊C4—41no—
887C2×C22⋊C4—41no—
888C2×C42C2411yescharacteristic
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—21no—
904#107—21no—
905#107C2×D411yescharacteristic
906#107C2×D411yescharacteristic
907#107C2×D411yescharacteristic
908#107C2×D411yescharacteristic
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#106C2×D411yescharacteristic
924#106C2×D411yescharacteristic
925#106C2×D411yescharacteristic
926#106C2×D411yescharacteristic
927C4⋊C8—21no—
928C4⋊C8—21no—
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—41no—
965#103—41no—
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#103C2×D411yescharacteristic
969#103C2×D411yescharacteristic
970#103C2×D411yescharacteristic
971#103C2×D411yescharacteristic
972#102—21no—
973#102—21no—
974#102—21no—
975#102—21no—
976#102—21no—
977#102—21no—
978#102—21no—
979#102—21no—
980#102—21no—
981#102—21no—
982#102—21no—
983#102—21no—
984#102—21no—
985#102—21no—
986#102—21no—
987#102—21no—
988#102—21no—
989#102—21no—
990#102—21no—
991#102—21no—
992#102—21no—
993#102—21no—
994#102—21no—
995#102—21no—
996#102—21no—
997#102—21no—
998#102—21no—
999#102—21no—
1000#102—21no—
1001#102—21no—
1002#102—21no—
1003#102—21no—
1004#102—21no—
1005#102—21no—
1006#102—41no—
1007#102—41no—
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⋊C8C2×D411yescharacteristic
1030C22⋊C8C2×D411yescharacteristic
1031#97—21no—
1032#97—21no—
1033#97—21no—
1034#97—21no—
1035#97—21no—
1036C4×C8—21no—
1037C4×C8—21no—
1038C4×C8—21no—
1039C4×C8C2×D411yescharacteristic
1040C4×C8C2×D411yescharacteristic
1041C4×C8C2411yescharacteristic
1042C4×C8C2411yescharacteristic
1043C4×C8C2411yescharacteristic
1044C4×C8C2411yescharacteristic
1045C4×C8C2411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C24—21no—
1048C24—41no—
1049C24—41no—
1050#41—82no—
1051#41—82no—
1052#41—81no—
1053#41—81no—
1054#41—81no—
1055#41—81no—
1056#41—81no—
1057#41—81no—
1058#41—162no—
1059C2×Q8—21no—
1060C2×Q8—21no—
1061C2×Q8—21no—
1062C2×Q8—21no—
1063C2×Q8—21no—
1064C2×Q8—21no—
1065C2×Q8—41no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×Q8—41no—
1069C2×Q8—82no—
1070C2×Q8—81no—
1071C2×Q8—81no—
1072C2×Q8—81no—
1073C2×Q8—81no—
1074C2×Q8C22×D411yescharacteristic
1075C2×Q8C22×D411yescharacteristic
1076C2×Q8C22×D411yescharacteristic
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—41no—
1088C2×D4—41no—
1089C2×D4—41no—
1090C2×D4—41no—
1091C2×D4—41no—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—162no—
1112C2×D4—162no—
1113C2×D4C22×D411yescharacteristic
1114C2×D4C22×D411yescharacteristic
1115C2×D4C22×D411yescharacteristic
1116C2×D4C22×D411yescharacteristic
1117C2×D4C22×D411yescharacteristic
1118C22×C4—21no—
1119C22×C4—21no—
1120C22×C4—21no—
1121C22×C4—21no—
1122C22×C4—21no—
1123C22×C4—21no—
1124C22×C4—21no—
1125C22×C4—21no—
1126C22×C4—41no—
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—81no—
1139C22×C4—81no—
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4H(5,𝔽2)11yescharacteristic
1143Q16—41no—
1144Q16—81no—
1145Q16—81no—
1146Q16—82no—
1147Q16—82no—
1148SD16—41no—
1149SD16—41no—
1150SD16—41no—
1151SD16—41no—
1152SD16—81no—
1153SD16—81no—
1154SD16—81no—
1155SD16—81no—
1156SD16—81no—
1157SD16—81no—
1158SD16—82no—
1159SD16—82no—
1160D8—41no—
1161D8—41no—
1162D8—41no—
1163D8—42no—
1164D8—81no—
1165D8—81no—
1166D8—81no—
1167D8—81no—
1168D8—81no—
1169M16—42no—
1170M16—42no—
1171M16—42no—
1172M16—81no—
1173M16—81no—
1174M16—81no—
1175M16—81no—
1176M16—81no—
1177C2×C8—21no—
1178C2×C8—21no—
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—41no—
1188C2×C8—41no—
1189C2×C8—81no—
1190C2×C8—81no—
1191C2×C8—81no—
1192C2×C8—81no—
1193C2×C8—81no—
1194C2×C8—81no—
1195C2×C8C22×D411yescharacteristic
1196C2×C8C22×D411yescharacteristic
1197C2×C8C22×D411yescharacteristic
1198C2×C8C22×D411yescharacteristic
1199C2×C8C22×D411yescharacteristic
1200C2×C8C22×D411yescharacteristic
1201C2×C8C22×D411yescharacteristic
1202C2×C8C22×D411yescharacteristic
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—21no—
1227C4⋊C4—21no—
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⋊C4C22×D411yescharacteristic
1249C4⋊C4C22×D411yescharacteristic
1250C4⋊C4C22×D411yescharacteristic
1251C4⋊C4C22×D411yescharacteristic
1252C4⋊C4C22×D411yescharacteristic
1253C4⋊C4C22×D411yescharacteristic
1254C4⋊C4C22×D411yescharacteristic
1255C4⋊C4C22×D411yescharacteristic
1256C22⋊C4—21no—
1257C22⋊C4—21no—
1258C22⋊C4—21no—
1259C22⋊C4—21no—
1260C22⋊C4—21no—
1261C22⋊C4—21no—
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—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
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—
1297C42—21no—
1298C42—21no—
1299C42—21no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42C22×D411yescharacteristic
1307C42C22×D411yescharacteristic
1308C42H(5,𝔽2)11yescharacteristic
1309C42C2511yescharacteristic
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—42no—
1316C23—41no—
1317C23—41no—
1318C23—81no—
1319C23—81no—
1320C23—82no—
1321C23—82no—
1322C23—161no—
1323C23—161no—
1324C23—161no—
1325C23—161no—
1326C23D4211yescharacteristic
1327Q8—21no—
1328Q8—21no—
1329Q8—21no—
1330Q8—21no—
1331Q8—21no—
1332Q8—21no—
1333Q8—41no—
1334Q8—41no—
1335Q8—41no—
1336Q8—41no—
1337Q8—81no—
1338Q8—81no—
1339Q8—81no—
1340Q8—81no—
1341Q8—161no—
1342Q8—161no—
1343Q8—161no—
1344Q8—161no—
1345D4—21no—
1346D4—21no—
1347D4—21no—
1348D4—21no—
1349D4—21no—
1350D4—21no—
1351D4—21no—
1352D4—21no—
1353D4—21no—
1354D4—21no—
1355D4—42no—
1356D4—42no—
1357D4—42no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—41no—
1365D4—41no—
1366D4—81no—
1367D4—81no—
1368D4—81no—
1369D4—82no—
1370D4—82no—
1371D4—82no—
1372D4—82no—
1373D4—161no—
1374D4—161no—
1375D4—161no—
1376D4—161no—
1377D4—161no—
1378D4—161no—
1379D4—161no—
1380D4—161no—
1381D4—161no—
1382D4—161no—
1383C2×C4—22no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
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—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—41no—
1411C2×C4—41no—
1412C2×C4—41no—
1413C2×C4—41no—
1414C2×C4—41no—
1415C2×C4—81no—
1416C2×C4—81no—
1417C2×C4—81no—
1418C2×C4—82no—
1419C2×C4—161no—
1420C2×C4—161no—
1421C2×C4—161no—
1422C2×C4—161no—
1423C2×C4—161no—
1424C2×C4—161no—
1425C2×C4—161no—
1426C2×C4—161no—
1427C2×C4—161no—
1428C2×C4—161no—
1429C2×C4—161no—
1430C2×C4D4211yescharacteristic
1431C2×C4D4211yescharacteristic
1432C2×C4D4211yescharacteristic
1433C2×C4C23×D411yescharacteristic
1434C2×C4C23×D411yescharacteristic
1435C2×C4C2×H(5,𝔽2)11yescharacteristic
1436C8—21no—
1437C8—21no—
1438C8—21no—
1439C8—21no—
1440C8—21no—
1441C8—21no—
1442C8—21no—
1443C8—21no—
1444C8—41no—
1445C8—41no—
1446C8—41no—
1447C8—41no—
1448C8—41no—
1449C8—41no—
1450C8—41no—
1451C8—41no—
1452C8—41no—
1453C8—41no—
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—81no—
1472C22—81no—
1473C22—81no—
1474C22—81no—
1475C22—81no—
1476C22—81no—
1477C22—162no—
1478C22—322no—
1479C22—322no—
1480C22#328812yes—
1481C22C2×D4211yescharacteristic
1482C4—21no—
1483C4—21no—
1484C4—21no—
1485C4—21no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4—81no—
1502C4—81no—
1503C4#358411yescharacteristic
1504C4#358511yescharacteristic
1505C4#358611yescharacteristic
1506C4#358611yescharacteristic
1507C2—22no—
1508C2—81no—
1509C2—81no—
1510C2—81no—
1511C2—81no—
1512C2—81no—
1513C2—161no—
1514C2—161no—
1515C2#6106411yescharacteristic
1516C2#6109211yescharacteristic
1517C2C2×#328811yescharacteristic
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. #62551C2semidirect
2. #62263C2semidirect
3. #62200C2semidirect
4. #62199C2semidirect
5. #20247C2semidirect
6. #20246C2semidirect
7. #20245C2semidirect
8. #20239C2semidirect
9. #20231C2semidirect
10. #20229C2semidirect
11. #20219C2semidirect
12. #20210C2semidirect
13. #20203C2semidirect
14. #20193C2semidirect
15. #20166C2semidirect
16. #20164C2semidirect
17. #19829C2semidirect
18. #19823C2semidirect
19. #19781C2semidirect
20. #19775C2semidirect
21. #19674C2semidirect
22. #19591C2semidirect
23. #19589C2semidirect
24. #19227C2semidirect
25. C2×#1703C2semidirect
26. #18726C2semidirect
27. #18713C2semidirect
28. #18571C2semidirect
29. #18563C2semidirect
30. #18093C2semidirect
31. #17938C2semidirect
32. #3552C22semidirect
33. #3544C22semidirect
36. #3385C22semidirect
37. #3384C22semidirect
38. #3381C22semidirect
39. #3380C22semidirect
40. #3372C22semidirect
41. #3369C22semidirect
44. #3363C22semidirect
46. #3360C22semidirect
61. #3331C22semidirect
62. #3329C22semidirect
65. #3325C22semidirect
66. #3324C22semidirect
73. #3303C22semidirect
75. #3299C22semidirect
78. #3295C22semidirect
80. #3294C22semidirect
88. #3247C22semidirect
89. #3247C22semidirect
93. #3238C22semidirect
94. #3227C22semidirect
95. #3226C22semidirect
97. #3218C22semidirect
103. #3152C22semidirect
104. #3141C22semidirect
106. C2×#487C22semidirect
116. #2994C22semidirect
117. #2994C22semidirect
118. #2966C22semidirect
120. #1723C22semidirect
121. #1723C22semidirect
122. #1720C22semidirect
123. #1720C22semidirect
124. #1719C22semidirect
125. #1719C22semidirect
126. #1717C22semidirect
127. #1717C22semidirect
128. #1703C22semidirect
129. #1703C22semidirect
130. #1703C22semidirect
131. #1703C22semidirect
132. #1703C22semidirect
133. #1703C22semidirect
134. #1703C22semidirect
135. #1703C22semidirect
136. #1702C22semidirect
137. #1701C22semidirect
138. #1698C22semidirect
139. #1697C22semidirect
140. #1696C22semidirect
141. #1696C22semidirect
142. #1695C22semidirect
143. #1695C22semidirect
144. #1692C22semidirect
145. #1691C22semidirect
146. #1688C22semidirect
147. #1687C22semidirect
148. #1682C22semidirect
149. #1681C22semidirect
150. #1678C22semidirect
151. #1678C22semidirect
152. #1678C22semidirect
153. #1677C22semidirect
154. #1677C22semidirect
155. #1677C22semidirect
156. #1676C22semidirect
157. #1675C22semidirect
158. #1672C22semidirect
159. #1671C22semidirect
162. #1644C22semidirect
163. #1644C22semidirect
166. #1639C22semidirect
167. #1639C22semidirect
168. #1638C22semidirect
169. #1637C22semidirect
170. #1636C22semidirect
171. #1635C22semidirect
174. #1634C22semidirect
175. #1633C22semidirect
176. #1632C22semidirect
177. #1632C22semidirect
178. #1632C22semidirect
179. #1632C22semidirect
182. #1629C22semidirect
183. #1629C22semidirect
184. #1628C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
187. #1625C22semidirect
188. #1624C22semidirect
189. #1623C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1594C22semidirect
195. #1593C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. #1580C22semidirect
207. #1579C22semidirect
208. #1573C22semidirect
209. C2×#334C22semidirect
210. #1551C22semidirect
211. #1551C22semidirect
212. C2×#333C22semidirect
213. C2×#332C22semidirect
215. #1483C22semidirect
216. #1483C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#625512
#622632
#622002
#621992
#202472
#202462
#202452
#202392
#202312
#202292
#202192
#202102
#202032
#201932
#201662
#201642
#198292
#198232
#197812
#197752
#196742
#195912
#195892
#192272
C2×#17032
#187262
#187132
#185712
#185632
#180932
#179382