Finite Group Databasebeta

← #6366710

Subgroups — #6366710

Order 512.

1595 conjugacy classes of subgroups.

The subgroup lattice has 1540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62494C211yesmaximal, characteristic, complemented
2#62259C211yesmaximal, characteristic, complemented
3#61927C211yesmaximal, characteristic, complemented
4#61658C211yesmaximal, characteristic, complemented
5#20263C211yesmaximal, characteristic, complemented
6#20259C211yesmaximal, characteristic, complemented
7#20250C211yesmaximal, characteristic, complemented
8#20246C211yesmaximal, characteristic, complemented
9#20244C211yesmaximal, characteristic, complemented
10#20240C211yesmaximal, characteristic, complemented
11#20199C211yesmaximal, characteristic, complemented
12#20195C211yesmaximal, characteristic, complemented
13#20187C211yesmaximal, characteristic, complemented
14#20186C211yesmaximal, characteristic, complemented
15#20177C211yesmaximal, characteristic, complemented
16#20176C211yesmaximal, characteristic, complemented
17#19863C211yesmaximal, characteristic, complemented
18#19860C211yesmaximal, characteristic, complemented
19#19807C211yesmaximal, characteristic, complemented
20#19804C211yesmaximal, characteristic, complemented
21#19688C211yesmaximal, characteristic, complemented
22#19568C211yesmaximal, characteristic, complemented
23#19556C211yesmaximal, characteristic, complemented
24#19219C211yesmaximal, characteristic, complemented
25#19137C211yesmaximal, characteristic, complemented
26#18744C211yesmaximal, characteristic, complemented
27#18740C211yesmaximal, characteristic, complemented
28#18615C211yesmaximal, characteristic, complemented
29#18599C211yesmaximal, characteristic, complemented
30#18089C211yesmaximal, characteristic, complemented
31#17938C211yesmaximal, characteristic, complemented
32#3555C2211yescharacteristic, complemented
33#3547C2211yescharacteristic
34#3506C2211yescharacteristic
35#3496C2211yescharacteristic
36#3401—21no—
37#3398C2211yescharacteristic, complemented
38#3397C2211yescharacteristic, complemented
39#3394—21no—
40#3393C2211yescharacteristic, complemented
41#3392C2211yescharacteristic, complemented
42#3386C2211yescharacteristic, complemented
43#3385C2211yescharacteristic, complemented
44#3381C2211yescharacteristic, complemented
45Q8×SD16C2211yescharacteristic, complemented
46#3371—21no—
47#3369C2211yescharacteristic, complemented
48#3366C2211yescharacteristic, complemented
49#3365—21no—
50#3362C2211yescharacteristic, complemented
51#3360C2211yescharacteristic, complemented
52#3357C2211yescharacteristic, complemented
53#3354—21no—
54#3353C2211yescharacteristic
55#3353C2211yescharacteristic
56#3353C2211yescharacteristic, complemented
57#3350—21no—
58#3348—21no—
59#3340—21no—
60#3340C2211yescharacteristic, complemented
61#3337—21no—
62#3335C2211yescharacteristic, complemented
63#3332C2211yescharacteristic
64#3332C2211yescharacteristic
65#3331C2211yescharacteristic
66#3330—21no—
67#3325—21no—
68#3325C2211yescharacteristic
69#3324C2211yescharacteristic
70#3324C2211yescharacteristic
71#3323—21no—
72#3303C2211yescharacteristic
73#3296—21no—
74#3295C2211yescharacteristic
75#3283C2211yescharacteristic
76#3282—21no—
77D4×SD16C2211yescharacteristic
78#3276C2211yescharacteristic
79#3275—21no—
80#3274C2211yescharacteristic
81#3274C2211yescharacteristic
82#3272—21no—
83#3272C2211yescharacteristic
84#3246C2211yescharacteristic
85#3245C2211yescharacteristic
86#3242—21no—
87#3241—21no—
88#3237C2211yescharacteristic, complemented
89#3235C2211yescharacteristic
90#3224—21no—
91#3222—21no—
92#3212C2211yescharacteristic
93#3212C2211yescharacteristic, complemented
94#3210C2211yescharacteristic
95#3210C2211yescharacteristic, complemented
96#3204—21no—
97#3201—21no—
98#3188—21no—
99#3188—21no—
100#3182C2211yescharacteristic
101#3182C2211yescharacteristic, complemented
102#3174—21no—
103#3169C2211yescharacteristic
104#3167C2211yescharacteristic
105#3163—21no—
106#3160C2211yescharacteristic, complemented
107#3125—21no—
108#3120—21no—
109#3105C2211yescharacteristic
110#3101C2211yescharacteristic
111#3101C2211yescharacteristic
112#3055—21no—
113#3055—21no—
114#3012—21no—
115#3009—21no—
116#2986C2211yescharacteristic, complemented
117#2979C2211yescharacteristic
118#2966C2211yescharacteristic, complemented
119C2×#436C2211yescharacteristic
120#1723C2211yescharacteristic, complemented
121#1723C2211yescharacteristic, complemented
122#1722C2211yescharacteristic, complemented
123#1722C2211yescharacteristic, complemented
124#1719C2211yescharacteristic, complemented
125#1719C2211yescharacteristic, complemented
126#1715C2211yescharacteristic, complemented
127#1715C2211yescharacteristic, complemented
128#1704C2211yescharacteristic, complemented
129#1703C2211yescharacteristic, complemented
130#1702C2211yescharacteristic, complemented
131#1702C2211yescharacteristic, complemented
132#1701C2211yescharacteristic, complemented
133#1701C2211yescharacteristic, complemented
134#1698C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1695C2211yescharacteristic, complemented
137#1695C2211yescharacteristic, complemented
138#1693C2211yescharacteristic, complemented
139#1693C2211yescharacteristic, complemented
140#1691C2211yescharacteristic, complemented
141#1691C2211yescharacteristic, complemented
142#1691C2211yescharacteristic, complemented
143#1691C2211yescharacteristic, complemented
144#1690C2211yescharacteristic, complemented
145#1689C2211yescharacteristic, complemented
146#1686C2211yescharacteristic, complemented
147#1685C2211yescharacteristic, complemented
148#1684C2211yescharacteristic, complemented
149#1683C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1674C2211yescharacteristic, complemented
153#1673C2211yescharacteristic, complemented
154#1670C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1668C2211yescharacteristic, complemented
157#1667C2211yescharacteristic, complemented
158#1666C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1650C2211yescharacteristic, complemented
161#1650C2211yescharacteristic, complemented
162#1650C2211yescharacteristic, complemented
163#1649C2211yescharacteristic, complemented
164#1648C2211yescharacteristic, complemented
165#1647C2211yescharacteristic
166#1647C2211yescharacteristic
167#1647C2211yescharacteristic, complemented
168#1646C2211yescharacteristic, complemented
169#1645C2211yescharacteristic, complemented
170#1644C2211yescharacteristic, complemented
171#1643C2211yescharacteristic, complemented
172#1642C2211yescharacteristic, complemented
173#1642C2211yescharacteristic, complemented
174#1639C2211yescharacteristic
175#1639C2211yescharacteristic
176#1638C2211yescharacteristic, complemented
177#1638C2211yescharacteristic, complemented
178#1635C2211yescharacteristic
179#1635C2211yescharacteristic
180#1631C2211yescharacteristic, complemented
181#1631C2211yescharacteristic, complemented
182#1629C2211yescharacteristic
183#1629C2211yescharacteristic
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#1592C2211yescharacteristic, complemented
195#1592C2211yescharacteristic, 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
206SD16⋊C8C2211yescharacteristic, complemented
207SD16⋊C8C2211yescharacteristic, complemented
208#1573C2211yescharacteristic, complemented
209#1564C2211yescharacteristic, complemented
210#1553C2211yescharacteristic
211#1553C2211yescharacteristic, complemented
212#1542C2211yescharacteristic, complemented
213#1542C2211yescharacteristic, complemented
214#1490C2211yescharacteristic
215#1485C2211yescharacteristic, complemented
216#1484C2211yescharacteristic
217#1483C2211yescharacteristic, complemented
218#1451C2211yescharacteristic, complemented
219C2×H(5,𝔽2)—21no—
220C2×#137—21no—
221C2×AGL(1,ℤ/8)—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×#135—21no—
225C22×SD16—21no—
226C22×M16—21no—
227#563—41no—
228#562—41no—
229#559—21no—
230#559—21no—
231Q82C2311yescharacteristic
232#557—21no—
233#557C2311yescharacteristic
234#556—21no—
235#556—21no—
236#556C2311yescharacteristic
237#556C2311yescharacteristic
238#556C2311yescharacteristic
239#555—21no—
240#555—21no—
241#555C2311yescharacteristic
242#554C2311yescharacteristic
243#554C2311yescharacteristic
244#553—21no—
245#553—41no—
246#552—21no—
247#552—21no—
248#550C2311yescharacteristic
249#550C2311yescharacteristic
250D4×Q8C2311yescharacteristic
251#548—21no—
252#547—21no—
253#547—21no—
254#547C2311yescharacteristic
255#547C2311yescharacteristic
256#547C2311yescharacteristic
257#546—21no—
258#546—21no—
259#546—41no—
260D42—21no—
261D42C2311yescharacteristic
262D42C2311yescharacteristic
263#544—21no—
264#544—21no—
265#542—21no—
266#542—41no—
267#541—21no—
268#541—21no—
269#541—41no—
270#540—21no—
271#538—41no—
272#537—21no—
273#537—21no—
274#536—21no—
275#535—21no—
276#534—41no—
277#533C2311yescharacteristic
278#533C2311yescharacteristic
279#533C2311yescharacteristic
280#532C2311yescharacteristic
281#532C2311yescharacteristic
282#532C2311yescharacteristic
283#529C2311yescharacteristic
284#525—21no—
285#525—21no—
286C2×#121—21no—
287C2×#121—21no—
288#520—21no—
289C2×C4×D4C2311yescharacteristic
290#501—21no—
291#501—21no—
292#501—21no—
293#501—21no—
294#500C2311yescharacteristic
295#500C2311yescharacteristic
296#500C2311yescharacteristic
297#500C2311yescharacteristic
298#500C2311yescharacteristic
299#499—21no—
300#499—21no—
301#499—21no—
302#498—21no—
303#498D411yescharacteristic
304#498C2311yescharacteristic
305#498C2311yescharacteristic
306#497—21no—
307#496—21no—
308#495—21no—
309#495—21no—
310#495—21no—
311#494C2311yescharacteristic
312#494C2311yescharacteristic
313#493C2311yescharacteristic
314#492—21no—
315#492D411yescharacteristic
316#492C2311yescharacteristic
317#492C2311yescharacteristic
318#492C2311yescharacteristic
319#492C2311yescharacteristic
320#491—21no—
321#490—21no—
322#490—21no—
323#489—21no—
324#488—21no—
325#488—21no—
326#488—21no—
327#487D411yescharacteristic
328#487C2311yescharacteristic
329#487C2311yescharacteristic
330#487C2311yescharacteristic
331#487C2311yescharacteristic
332#486—21no—
333#486D411yescharacteristic
334#486C2311yescharacteristic
335#486C2311yescharacteristic
336#486C2311yescharacteristic
337#486C2311yescharacteristic
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#485—21no—
341#485—21no—
342#485—21no—
343#485—21no—
344#485—21no—
345#484—21no—
346#484—21no—
347#484—21no—
348#484D411yescharacteristic
349#483—21no—
350#483—21no—
351#483—21no—
352#483—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#482—21no—
357#482—21no—
358#482—21no—
359#482—21no—
360#482—21no—
361#482—21no—
362#481—21no—
363#481—21no—
364#481—21no—
365#481—21no—
366#481D411yescharacteristic
367#480—21no—
368#479—21no—
369#479—21no—
370#479—21no—
371#478—21no—
372#478—21no—
373#478—21no—
374#478D411yescharacteristic
375#478D411yescharacteristic
376#477—21no—
377#477C2311yescharacteristic
378#477C2311yescharacteristic
379#476—21no—
380#476—21no—
381#476—21no—
382#476C2311yescharacteristic
383#476C2311yescharacteristic
384#476C2311yescharacteristic
385#476C2311yescharacteristic
386#476C2311yescharacteristic
387#476C2311yescharacteristic
388#475—21no—
389#475—21no—
390#475C2311yescharacteristic
391#475C2311yescharacteristic
392#475C2311yescharacteristic
393#475C2311yescharacteristic
394#474—21no—
395#474—21no—
396#474C2311yescharacteristic
397#474C2311yescharacteristic
398#474C2311yescharacteristic
399#474C2311yescharacteristic
400#470—21no—
401#470—21no—
402#469—21no—
403#469—21no—
404#469—21no—
405#469—21no—
406#469—21no—
407#468—21no—
408#468—21no—
409#468—21no—
410#468—21no—
411#468—21no—
412#468—21no—
413#468—21no—
414#468—41no—
415#468—41no—
416#467—21no—
417#466—21no—
418#466—21no—
419#466—21no—
420#466—21no—
421#465—21no—
422#465—21no—
423#465—21no—
424#465—21no—
425#465—21no—
426#465—21no—
427#465—21no—
428#465D411yescharacteristic
429#465D411yescharacteristic
430#465D411yescharacteristic
431#465D411yescharacteristic
432#464—21no—
433#464—21no—
434#464—21no—
435#464—21no—
436#464—21no—
437#464—21no—
438#464—21no—
439#464—21no—
440#463—21no—
441#463—21no—
442#463D411yescharacteristic
443#463D411yescharacteristic
444#462—21no—
445#462C2311yescharacteristic
446#462C2311yescharacteristic
447#461—21no—
448#461—21no—
449#461C2311yescharacteristic
450#461C2311yescharacteristic
451#461C2311yescharacteristic
452#461C2311yescharacteristic
453#461C2311yescharacteristic
454#461C2311yescharacteristic
455#460—21no—
456#460—21no—
457#460—21no—
458#460C2311yescharacteristic
459#460C2311yescharacteristic
460#460C2311yescharacteristic
461#460C2311yescharacteristic
462#459—21no—
463#459—21no—
464#459C2311yescharacteristic
465#459C2311yescharacteristic
466#459C2311yescharacteristic
467#459C2311yescharacteristic
468#452—21no—
469#452—21no—
470#452—21no—
471#452—21no—
472#452—21no—
473#452—21no—
474#452—21no—
475#452—21no—
476#452—21no—
477#452—21no—
478#451—21no—
479#450—21no—
480#450—21no—
481#450—21no—
482#450—21no—
483#450—21no—
484#450—21no—
485#450—21no—
486#450D411yescharacteristic
487#449—21no—
488#449—21no—
489#449—21no—
490#449—21no—
491#449—21no—
492#449—21no—
493#449—21no—
494#449—21no—
495#448—21no—
496#447—21no—
497#447—21no—
498#447—21no—
499#447D411yescharacteristic
500#446—21no—
501#446C2311yescharacteristic
502#446C2311yescharacteristic
503#446C2311yescharacteristic
504C8×Q8—21no—
505C8×Q8C2311yescharacteristic
506C8×Q8C2311yescharacteristic
507C8×Q8C2311yescharacteristic
508#442—21no—
509#441—21no—
510#441—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—41no—
515#440—41no—
516C4×Q16—21no—
517C4×SD16—21no—
518C4×SD16—21no—
519C4×SD16—21no—
520C4×SD16—21no—
521C4×SD16—21no—
522C4×SD16—21no—
523C4×SD16—21no—
524C4×SD16—21no—
525C4×SD16—21no—
526C4×SD16C2311yescharacteristic
527C4×SD16C2311yescharacteristic
528C4×SD16C2311yescharacteristic
529C4×SD16C2311yescharacteristic
530C4×SD16C2311yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×D8—21no—
533C4×D8—21no—
534C4×D8C2311yescharacteristic
535C4×D8C2311yescharacteristic
536#436—21no—
537#436—21no—
538#436—21no—
539#436C2311yescharacteristic
540#436C2311yescharacteristic
541#436C2311yescharacteristic
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#435—21no—
547C8×D4—21no—
548C8×D4—21no—
549C8×D4C2311yescharacteristic
550C8×D4C2311yescharacteristic
551C8×D4C2311yescharacteristic
552#433—21no—
553#433—21no—
554#433—21no—
555#432C2311yescharacteristic
556#431C2311yescharacteristic
557#431C2311yescharacteristic
558#431C2311yescharacteristic
559#428—21no—
560#428—21no—
561#428—21no—
562#428—21no—
563#427—21no—
564#427—21no—
565#427—21no—
566C2×#106—21no—
567C2×C4⋊C8C2311yescharacteristic
568#418—21no—
569#418—21no—
570#418—21no—
571#417—21no—
572#417—21no—
573#417—21no—
574#416—21no—
575C2×#102—21no—
576#408—21no—
577#408—21no—
578C2×C22⋊C8—21no—
579#405—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8C2311yescharacteristic
582#335C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#334C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#333C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#333C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#332C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606Q8⋊C8C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622#322C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625#322C2311yescharacteristic
626H(5,𝔽2)—82no—
627H(5,𝔽2)—82no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—41no—
637C22×Q8—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—41no—
643C22×D4—41no—
644C22×D4—41no—
645C22×D4C2×D411yescharacteristic
646C23×C4—21no—
647#137—82no—
648AGL(1,ℤ/8)—82no—
649AGL(1,ℤ/8)—82no—
650AGL(1,ℤ/8)—82no—
651#135—82no—
652C2×Q16—21no—
653C2×Q16—21no—
654C2×Q16—21no—
655C2×Q16—21no—
656C2×Q16—21no—
657C2×Q16—21no—
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—21no—
669C2×SD16—21no—
670C2×SD16—21no—
671C2×SD16—21no—
672C2×SD16—41no—
673C2×SD16—41no—
674C2×SD16—82no—
675C2×SD16C2×D411yescharacteristic
676C2×SD16C2×D411yescharacteristic
677C2×SD16C2×D411yescharacteristic
678C2×SD16C2×D411yescharacteristic
679C2×SD16C2×D411yescharacteristic
680C2×SD16C2×D411yescharacteristic
681C2×D8—21no—
682C2×D8—21no—
683C2×D8—21no—
684C2×D8—21no—
685C2×D8—21no—
686C2×D8—21no—
687C2×D8C2×D411yescharacteristic
688C2×D8C2×D411yescharacteristic
689C2×M16—21no—
690C2×M16—21no—
691C2×M16—21no—
692C2×M16—21no—
693C2×M16—21no—
694C2×M16—21no—
695C2×M16—21no—
696C2×M16—21no—
697C2×M16—82no—
698C22×C8—21no—
699C22×C8—21no—
700C22×C8—21no—
701C22×C8—21no—
702C22×C8C2×D411yescharacteristic
703C22×C8C2×D411yescharacteristic
704C4⋊Q8—21no—
705C4⋊Q8—21no—
706C4⋊Q8—21no—
707C4⋊Q8—21no—
708C4⋊Q8—41no—
709C4⋊Q8—41no—
710C4⋊Q8—41no—
711C4⋊Q8C2×D411yescharacteristic
712C4⋊Q8C2×D411yescharacteristic
713C4⋊Q8C2×D411yescharacteristic
714C4⋊Q8C2411yescharacteristic
715C4⋊Q8C2411yescharacteristic
716C4⋊Q8C2411yescharacteristic
717C4⋊Q8C2411yescharacteristic
718C4⋊Q8C2411yescharacteristic
719C4⋊Q8C2411yescharacteristic
720#127—21no—
721#127—21no—
722#127C2×D411yescharacteristic
723#127C2411yescharacteristic
724#127C2411yescharacteristic
725#126—21no—
726#126—41no—
727#126—41no—
728#126—41no—
729#126—41no—
730#126—41no—
731#126—41no—
732#126—41no—
733#126—41no—
734#126—41no—
735#125—21no—
736#125—21no—
737#125—21no—
738#125—21no—
739#125—21no—
740#125—21no—
741#125—41no—
742#125—41no—
743#125—41no—
744#125—41no—
745#125—41no—
746#125—41no—
747#125C2×D411yescharacteristic
748#124—21no—
749#124—21no—
750#124—21no—
751#124—21no—
752#124—21no—
753#124—21no—
754#124—41no—
755#124—41no—
756#124—41no—
757#124—41no—
758#124—41no—
759#124—41no—
760#124C2×D411yescharacteristic
761#123—21no—
762#123—41no—
763#123—41no—
764#123—41no—
765#123—41no—
766#123—41no—
767#123—41no—
768#123—41no—
769#123—41no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775C22⋊Q8—21no—
776C22⋊Q8—21no—
777C22⋊Q8—21no—
778C22⋊Q8—21no—
779C22⋊Q8—21no—
780C22⋊Q8—21no—
781C22⋊Q8—21no—
782C22⋊Q8—21no—
783C22⋊Q8—21no—
784C22⋊Q8—21no—
785C22⋊Q8—21no—
786C22⋊Q8—21no—
787C22⋊Q8—21no—
788C22⋊Q8—21no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8—41no—
793C22⋊Q8—41no—
794C22⋊Q8—41no—
795C22⋊Q8—41no—
796C22⋊Q8—41no—
797C22⋊Q8C2×D411yescharacteristic
798C22⋊Q8C2×D411yescharacteristic
799C22⋊Q8C2×D411yescharacteristic
800#121—21no—
801#121—21no—
802#121—21no—
803#121—21no—
804#121—21no—
805#121—21no—
806#121—21no—
807#121—21no—
808#121—21no—
809#121—21no—
810#121—21no—
811#121—21no—
812#121—21no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—41no—
817#121—41no—
818#121—41no—
819#121—41no—
820#121—41no—
821#121—41no—
822#121—41no—
823#121—41no—
824#121—41no—
825#121—41no—
826#121—41no—
827#121—41no—
828#121—41no—
829#121C2×D411yescharacteristic
830#121C2×D411yescharacteristic
831#121C2×D411yescharacteristic
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838C4×Q8—21no—
839C4×Q8—21no—
840C4×Q8—21no—
841C4×Q8—21no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8—21no—
847C4×Q8—21no—
848C4×Q8—21no—
849C4×Q8—21no—
850C4×Q8—41no—
851C4×Q8C2411yescharacteristic
852C4×Q8C2411yescharacteristic
853C4×Q8C2411yescharacteristic
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—21no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4C2×D411yescharacteristic
873C4×D4C2×D411yescharacteristic
874C4×D4C2411yescharacteristic
875C4×D4C2411yescharacteristic
876C4×D4C2411yescharacteristic
877C4×D4C2411yescharacteristic
878C4×D4C2411yescharacteristic
879#117—21no—
880#117—21no—
881#117—21no—
882#117—21no—
883#117—21no—
884#117—21no—
885#117—21no—
886#117—21no—
887#117—21no—
888#117—41no—
889#117—41no—
890#117—41no—
891C2×C4⋊C4—21no—
892C2×C4⋊C4—21no—
893C2×C4⋊C4—21no—
894C2×C4⋊C4—21no—
895C2×C4⋊C4—21no—
896C2×C4⋊C4—41no—
897C2×C4⋊C4C2×D411yescharacteristic
898C2×C22⋊C4—21no—
899C2×C22⋊C4—41no—
900C2×C22⋊C4—41no—
901C2×C42C2411yescharacteristic
902#107—21no—
903#107—21no—
904#107—21no—
905#107—21no—
906#107—21no—
907#107—21no—
908#107—21no—
909#107—21no—
910#107—21no—
911#107—21no—
912#107—21no—
913#107—21no—
914#107—41no—
915#107—41no—
916#107C2×D411yescharacteristic
917#107C2×D411yescharacteristic
918#106—21no—
919#106—21no—
920#106—21no—
921#106—21no—
922#106—21no—
923#106—21no—
924#106—21no—
925#106—21no—
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106C2×D411yescharacteristic
933#106C2×D411yescharacteristic
934#106C2×D411yescharacteristic
935#106C2×D411yescharacteristic
936#106C2×D411yescharacteristic
937#106C2×D411yescharacteristic
938C4⋊C8—21no—
939C4⋊C8—21no—
940C4⋊C8—21no—
941C4⋊C8—21no—
942C4⋊C8—21no—
943C4⋊C8—21no—
944C4⋊C8—21no—
945C4⋊C8C2×D411yescharacteristic
946C4⋊C8C2×D411yescharacteristic
947C4⋊C8C2411yescharacteristic
948C4⋊C8C2411yescharacteristic
949C4⋊C8C2411yescharacteristic
950C4⋊C8C2411yescharacteristic
951C4⋊C8C2411yescharacteristic
952C4⋊C8C2411yescharacteristic
953C4⋊C8C2411yescharacteristic
954C4⋊C8C2411yescharacteristic
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—41no—
974#103—41no—
975#103C2×D411yescharacteristic
976#103C2×D411yescharacteristic
977#103C2×D411yescharacteristic
978#103C2×D411yescharacteristic
979#103C2×D411yescharacteristic
980#103C2×D411yescharacteristic
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—41no—
1008#102—41no—
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
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⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8C2×D411yescharacteristic
1033C22⋊C8C2×D411yescharacteristic
1034#97—21no—
1035#97—21no—
1036#97—21no—
1037#97—21no—
1038#97—21no—
1039C4×C8—21no—
1040C4×C8—21no—
1041C4×C8—21no—
1042C4×C8—21no—
1043C4×C8—21no—
1044C4×C8C2×D411yescharacteristic
1045C4×C8C2×D411yescharacteristic
1046C4×C8C2411yescharacteristic
1047C4×C8C2411yescharacteristic
1048C4×C8C2411yescharacteristic
1049C4×C8C2411yescharacteristic
1050C4×C8C2411yescharacteristic
1051C4×C8C2411yescharacteristic
1052C24—21no—
1053C24—41no—
1054C24—41no—
1055#41—42no—
1056#41—42no—
1057#41—81no—
1058#41—81no—
1059#41—81no—
1060#41—81no—
1061#41—81no—
1062#41—81no—
1063#41—81no—
1064#41—81no—
1065#41—81no—
1066#41—81no—
1067#41—81no—
1068#41—81no—
1069#41—81no—
1070#41—81no—
1071#41—84no—
1072C2×Q8—21no—
1073C2×Q8—21no—
1074C2×Q8—21no—
1075C2×Q8—21no—
1076C2×Q8—21no—
1077C2×Q8—21no—
1078C2×Q8—21no—
1079C2×Q8—21no—
1080C2×Q8—41no—
1081C2×Q8—41no—
1082C2×Q8—81no—
1083C2×Q8—81no—
1084C2×Q8C22×D411yescharacteristic
1085C2×Q8C22×D411yescharacteristic
1086C2×Q8C22×D411yescharacteristic
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—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—41no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—84no—
1124C2×D4—84no—
1125C2×D4—84no—
1126C2×D4C22×D411yescharacteristic
1127C2×D4C22×D411yescharacteristic
1128C2×D4C22×D411yescharacteristic
1129C2×D4C22×D411yescharacteristic
1130C2×D4C22×D411yescharacteristic
1131C22×C4—21no—
1132C22×C4—21no—
1133C22×C4—21no—
1134C22×C4—21no—
1135C22×C4—21no—
1136C22×C4—21no—
1137C22×C4—21no—
1138C22×C4—21no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—41no—
1144C22×C4—41no—
1145C22×C4—41no—
1146C22×C4—41no—
1147C22×C4—41no—
1148C22×C4—41no—
1149C22×C4—81no—
1150C22×C4—81no—
1151C22×C4C22×D411yescharacteristic
1152C22×C4C22×D411yescharacteristic
1153C22×C4H(5,𝔽2)11yescharacteristic
1154Q16—81no—
1155Q16—81no—
1156Q16—81no—
1157Q16—81no—
1158Q16—81no—
1159Q16—81no—
1160SD16—22no—
1161SD16—22no—
1162SD16—41no—
1163SD16—41no—
1164SD16—41no—
1165SD16—41no—
1166SD16—42no—
1167SD16—42no—
1168SD16—81no—
1169SD16—81no—
1170SD16—81no—
1171SD16—81no—
1172SD16—81no—
1173SD16—81no—
1174SD16—81no—
1175SD16—81no—
1176SD16—81no—
1177SD16—81no—
1178SD16—81no—
1179SD16—81no—
1180SD16—82no—
1181SD16—82no—
1182D8—41no—
1183D8—41no—
1184D8—42no—
1185D8—81no—
1186D8—81no—
1187D8—81no—
1188D8—81no—
1189D8—81no—
1190M16—42no—
1191M16—42no—
1192M16—42no—
1193M16—81no—
1194M16—81no—
1195M16—81no—
1196M16—81no—
1197M16—81no—
1198C2×C8—22no—
1199C2×C8—21no—
1200C2×C8—21no—
1201C2×C8—21no—
1202C2×C8—21no—
1203C2×C8—21no—
1204C2×C8—21no—
1205C2×C8—21no—
1206C2×C8—21no—
1207C2×C8—21no—
1208C2×C8—21no—
1209C2×C8—41no—
1210C2×C8—42no—
1211C2×C8—81no—
1212C2×C8—81no—
1213C2×C8—81no—
1214C2×C8C22×D411yescharacteristic
1215C2×C8C22×D411yescharacteristic
1216C2×C8C22×D411yescharacteristic
1217C2×C8C22×D411yescharacteristic
1218C2×C8C22×D411yescharacteristic
1219C2×C8C22×D411yescharacteristic
1220C2×C8C22×D411yescharacteristic
1221C2×C8C22×D411yescharacteristic
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—21no—
1234C4⋊C4—21no—
1235C4⋊C4—21no—
1236C4⋊C4—21no—
1237C4⋊C4—21no—
1238C4⋊C4—21no—
1239C4⋊C4—21no—
1240C4⋊C4—21no—
1241C4⋊C4—21no—
1242C4⋊C4—21no—
1243C4⋊C4—21no—
1244C4⋊C4—21no—
1245C4⋊C4—21no—
1246C4⋊C4—21no—
1247C4⋊C4—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⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4C22×D411yescharacteristic
1268C4⋊C4C22×D411yescharacteristic
1269C4⋊C4C22×D411yescharacteristic
1270C4⋊C4C22×D411yescharacteristic
1271C4⋊C4C22×D411yescharacteristic
1272C4⋊C4C22×D411yescharacteristic
1273C4⋊C4C22×D411yescharacteristic
1274C4⋊C4C22×D411yescharacteristic
1275C22⋊C4—21no—
1276C22⋊C4—21no—
1277C22⋊C4—21no—
1278C22⋊C4—21no—
1279C22⋊C4—21no—
1280C22⋊C4—21no—
1281C22⋊C4—21no—
1282C22⋊C4—21no—
1283C22⋊C4—21no—
1284C22⋊C4—21no—
1285C22⋊C4—21no—
1286C22⋊C4—21no—
1287C22⋊C4—21no—
1288C22⋊C4—21no—
1289C22⋊C4—21no—
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—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C42—21no—
1315C42—21no—
1316C42—21no—
1317C42—41no—
1318C42—41no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C42—41no—
1324C42—41no—
1325C42C22×D411yescharacteristic
1326C42C22×D411yescharacteristic
1327C42H(5,𝔽2)11yescharacteristic
1328C42C2511yescharacteristic
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—42no—
1335C23—41no—
1336C23—41no—
1337C23—81no—
1338C23—81no—
1339C23—82no—
1340C23—82no—
1341C23—161no—
1342C23—161no—
1343C23—161no—
1344C23—161no—
1345C23D4211yescharacteristic
1346Q8—21no—
1347Q8—21no—
1348Q8—21no—
1349Q8—21no—
1350Q8—21no—
1351Q8—21no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—41no—
1357Q8—41no—
1358Q8—41no—
1359Q8—41no—
1360Q8—81no—
1361Q8—81no—
1362Q8—81no—
1363Q8—81no—
1364Q8—161no—
1365Q8—161no—
1366D4—21no—
1367D4—21no—
1368D4—21no—
1369D4—21no—
1370D4—21no—
1371D4—21no—
1372D4—21no—
1373D4—21no—
1374D4—21no—
1375D4—21no—
1376D4—42no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—81no—
1386D4—81no—
1387D4—81no—
1388D4—81no—
1389D4—81no—
1390D4—81no—
1391D4—81no—
1392D4—82no—
1393D4—82no—
1394D4—82no—
1395D4—82no—
1396D4—82no—
1397D4—82no—
1398D4—161no—
1399D4—161no—
1400D4—161no—
1401D4—161no—
1402D4—161no—
1403D4—161no—
1404D4—161no—
1405D4—161no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—41no—
1422C2×C4—41no—
1423C2×C4—41no—
1424C2×C4—41no—
1425C2×C4—41no—
1426C2×C4—41no—
1427C2×C4—41no—
1428C2×C4—41no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—81no—
1439C2×C4—81no—
1440C2×C4—82no—
1441C2×C4—82no—
1442C2×C4—81no—
1443C2×C4—82no—
1444C2×C4—82no—
1445C2×C4—161no—
1446C2×C4—161no—
1447C2×C4—161no—
1448C2×C4—161no—
1449C2×C4—161no—
1450C2×C4—161no—
1451C2×C4D4211yescharacteristic
1452C2×C4D4211yescharacteristic
1453C2×C4D4211yescharacteristic
1454C2×C4C23×D411yescharacteristic
1455C2×C4C23×D411yescharacteristic
1456C2×C4C2×H(5,𝔽2)11yescharacteristic
1457C8—21no—
1458C8—21no—
1459C8—21no—
1460C8—21no—
1461C8—21no—
1462C8—21no—
1463C8—21no—
1464C8—41no—
1465C8—41no—
1466C8—41no—
1467C8—41no—
1468C8—41no—
1469C8—41no—
1470C8—41no—
1471C8—41no—
1472C8—41no—
1473C8—41no—
1474C8#57712yes—
1475C22—21no—
1476C22—21no—
1477C22—21no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—81no—
1494C22—81no—
1495C22—81no—
1496C22—81no—
1497C22—81no—
1498C22—81no—
1499C22—162no—
1500C22—322no—
1501C22—322no—
1502C22C2×D4211yescharacteristic
1503C4—21no—
1504C4—21no—
1505C4—21no—
1506C4—21no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—81no—
1519C4—81no—
1520C4—81no—
1521C4—81no—
1522C4—81no—
1523C4—81no—
1524C4C2×#57711yescharacteristic
1525C4#358511yescharacteristic
1526C4#358511yescharacteristic
1527C4#358611yescharacteristic
1528C2—41no—
1529C2—81no—
1530C2—81no—
1531C2—81no—
1532C2—81no—
1533C2—81no—
1534C2—161no—
1535C2—161no—
1536C2#6105911yescharacteristic
1537C2#6109411yescharacteristic
1538C2#6110011yescharacteristic
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. #62494C2semidirect
2. #62259C2semidirect
3. #61927C2semidirect
4. #61658C2semidirect
5. #20263C2semidirect
6. #20259C2semidirect
7. #20250C2semidirect
8. #20246C2semidirect
9. #20244C2semidirect
10. #20240C2semidirect
11. #20199C2semidirect
12. #20195C2semidirect
13. #20187C2semidirect
14. #20186C2semidirect
15. #20177C2semidirect
16. #20176C2semidirect
17. #19863C2semidirect
18. #19860C2semidirect
19. #19807C2semidirect
20. #19804C2semidirect
21. #19688C2semidirect
22. #19568C2semidirect
23. #19556C2semidirect
24. #19219C2semidirect
25. #19137C2semidirect
26. #18744C2semidirect
27. #18740C2semidirect
28. #18615C2semidirect
29. #18599C2semidirect
30. #18089C2semidirect
31. #17938C2semidirect
32. #3555C22semidirect
37. #3398C22semidirect
38. #3397C22semidirect
40. #3393C22semidirect
41. #3392C22semidirect
42. #3386C22semidirect
43. #3385C22semidirect
44. #3381C22semidirect
45. Q8×SD16C22semidirect
47. #3369C22semidirect
48. #3366C22semidirect
50. #3362C22semidirect
51. #3360C22semidirect
52. #3357C22semidirect
56. #3353C22semidirect
60. #3340C22semidirect
62. #3335C22semidirect
88. #3237C22semidirect
93. #3212C22semidirect
95. #3210C22semidirect
101. #3182C22semidirect
106. #3160C22semidirect
116. #2986C22semidirect
118. #2966C22semidirect
120. #1723C22semidirect
121. #1723C22semidirect
122. #1722C22semidirect
123. #1722C22semidirect
124. #1719C22semidirect
125. #1719C22semidirect
126. #1715C22semidirect
127. #1715C22semidirect
128. #1704C22semidirect
129. #1703C22semidirect
130. #1702C22semidirect
131. #1702C22semidirect
132. #1701C22semidirect
133. #1701C22semidirect
134. #1698C22semidirect
135. #1697C22semidirect
136. #1695C22semidirect
137. #1695C22semidirect
138. #1693C22semidirect
139. #1693C22semidirect
140. #1691C22semidirect
141. #1691C22semidirect
142. #1691C22semidirect
143. #1691C22semidirect
144. #1690C22semidirect
145. #1689C22semidirect
146. #1686C22semidirect
147. #1685C22semidirect
148. #1684C22semidirect
149. #1683C22semidirect
150. #1678C22semidirect
151. #1677C22semidirect
152. #1674C22semidirect
153. #1673C22semidirect
154. #1670C22semidirect
155. #1669C22semidirect
156. #1668C22semidirect
157. #1667C22semidirect
158. #1666C22semidirect
159. #1665C22semidirect
160. #1650C22semidirect
161. #1650C22semidirect
162. #1650C22semidirect
163. #1649C22semidirect
164. #1648C22semidirect
167. #1647C22semidirect
168. #1646C22semidirect
169. #1645C22semidirect
170. #1644C22semidirect
171. #1643C22semidirect
172. #1642C22semidirect
173. #1642C22semidirect
176. #1638C22semidirect
177. #1638C22semidirect
180. #1631C22semidirect
181. #1631C22semidirect
184. #1628C22semidirect
185. #1627C22semidirect
186. #1626C22semidirect
187. #1625C22semidirect
188. #1624C22semidirect
189. #1623C22semidirect
190. #1622C22semidirect
191. #1622C22semidirect
192. #1594C22semidirect
193. #1594C22semidirect
194. #1592C22semidirect
195. #1592C22semidirect
196. #1592C22semidirect
197. #1592C22semidirect
198. #1583C22semidirect
199. #1583C22semidirect
200. #1583C22semidirect
201. #1583C22semidirect
202. #1582C22semidirect
203. #1582C22semidirect
204. #1581C22semidirect
205. #1581C22semidirect
206. SD16⋊C8C22semidirect
207. SD16⋊C8C22semidirect
208. #1573C22semidirect
209. #1564C22semidirect
211. #1553C22semidirect
212. #1542C22semidirect
213. #1542C22semidirect
215. #1485C22semidirect
217. #1483C22semidirect
218. #1451C22semidirect

Maximal subgroups

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

subgroupindex
#624942
#622592
#619272
#616582
#202632
#202592
#202502
#202462
#202442
#202402
#201992
#201952
#201872
#201862
#201772
#201762
#198632
#198602
#198072
#198042
#196882
#195682
#195562
#192192
#191372
#187442
#187402
#186152
#185992
#180892
#179382