Finite Group Databasebeta

← #6369279

Subgroups — #6369279

Order 512.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#62004C211yesmaximal, characteristic, complemented
2#61591C211yesmaximal, characteristic, complemented
3#61539C211yesmaximal, characteristic, complemented
4#61155C211yesmaximal, characteristic, complemented
5#20302C211yesmaximal, characteristic, complemented
6#20266C211yesmaximal, characteristic, complemented
7#20175C211yesmaximal, characteristic, complemented
8#20166C211yesmaximal, characteristic, complemented
9#20159C211yesmaximal, characteristic, complemented
10#20133C211yesmaximal, characteristic, complemented
11#20082C211yesmaximal, characteristic, complemented
12#20053C211yesmaximal, characteristic, complemented
13#20025C211yesmaximal, characteristic, complemented
14#19996C211yesmaximal, characteristic, complemented
15#19900C211yesmaximal, characteristic, complemented
16#19886C211yesmaximal, characteristic, complemented
17#19825C211yesmaximal, characteristic, complemented
18#19823C211yesmaximal, characteristic, complemented
19#19773C211yesmaximal, characteristic, complemented
20#19755C211yesmaximal, characteristic, complemented
21#19729C211yesmaximal, characteristic, complemented
22#19496C211yesmaximal, characteristic, complemented
23#19460C211yesmaximal, characteristic, complemented
24#19380C211yesmaximal, characteristic, complemented
25#19306C211yesmaximal, characteristic, complemented
26#18834C211yesmaximal, characteristic, complemented
27#18811C211yesmaximal, characteristic, complemented
28#18795C211yesmaximal, characteristic, complemented
29#18746C211yesmaximal, characteristic, complemented
30#18052C211yesmaximal, characteristic, complemented
31#18008C211yesmaximal, characteristic, complemented
32#3519C2211yescharacteristic
33#3514C2211yescharacteristic, complemented
34#3475C2211yescharacteristic, complemented
35C2×D42C2211yescharacteristic, complemented
36#3399C2211yescharacteristic, complemented
37#3394C2211yescharacteristic, complemented
38#3393C2211yescharacteristic, complemented
39#3384C2211yescharacteristic, complemented
40#3361C2211yescharacteristic, complemented
41#3361C2211yescharacteristic, complemented
42#3360C2211yescharacteristic, complemented
43#3358C2211yescharacteristic, complemented
44#3347—21no—
45#3340C2211yescharacteristic, complemented
46#3329C2211yescharacteristic, complemented
47#3327—21no—
48#3325—21no—
49#3325C2211yescharacteristic
50#3325C2211yescharacteristic
51#3325C2211yescharacteristic
52#3325C2211yescharacteristic, complemented
53#3325C2211yescharacteristic, complemented
54#3325C2211yescharacteristic, complemented
55#3324C2211yescharacteristic, complemented
56#3324C2211yescharacteristic, complemented
57#3324C2211yescharacteristic, complemented
58#3323—21no—
59#3322—21no—
60#3318—21no—
61#3318—21no—
62#3318—21no—
63#3318—21no—
64#3310—21no—
65#3310—21no—
66#3295C2211yescharacteristic, complemented
67#3295C2211yescharacteristic, complemented
68#3295C2211yescharacteristic, complemented
69#3295C2211yescharacteristic, complemented
70#3294C2211yescharacteristic
71#3294C2211yescharacteristic, complemented
72D4×D8C2211yescharacteristic
73D4×D8C2211yescharacteristic
74D4×D8C2211yescharacteristic, complemented
75#3276C2211yescharacteristic, complemented
76#3275—21no—
77#3274C2211yescharacteristic, complemented
78#3274C2211yescharacteristic, complemented
79#3273—21no—
80#3272C2211yescharacteristic, complemented
81#3264—21no—
82#3264—21no—
83#3264—21no—
84#3256—21no—
85#3252C2211yescharacteristic, complemented
86#3217C2211yescharacteristic
87#3211—21no—
88#3210C2211yescharacteristic, complemented
89#3210C2211yescharacteristic, complemented
90#3205C2211yescharacteristic, complemented
91#3205C2211yescharacteristic, complemented
92#3192—21no—
93#3188—21no—
94#3184C2211yescharacteristic, complemented
95#3179—21no—
96#3138C2211yescharacteristic, complemented
97#3122—21no—
98#3118—21no—
99#3109C2211yescharacteristic, complemented
100#3106C2211yescharacteristic, complemented
101#3105C2211yescharacteristic
102#3102—21no—
103#3100C2211yescharacteristic
104#3094—21no—
105#3077C2211yescharacteristic, complemented
106#3055—21no—
107#3040—21no—
108#3038C2211yescharacteristic, complemented
109#3036C2211yescharacteristic, complemented
110#3003—21no—
111#3003—21no—
112C2×#447—21no—
113#2991C2211yescharacteristic, complemented
114#2974C2211yescharacteristic, complemented
115#2969C2211yescharacteristic, complemented
116#2948—21no—
117C4×AGL(1,ℤ/8)C2211yescharacteristic
118D4×M16C2211yescharacteristic, complemented
119C2×#418—21no—
120#1721C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1720C2211yescharacteristic, complemented
124#1717C2211yescharacteristic, complemented
125#1717C2211yescharacteristic, complemented
126#1709C2211yescharacteristic, complemented
127#1709C2211yescharacteristic, complemented
128#1703C2211yescharacteristic, complemented
129#1702C2211yescharacteristic, complemented
130#1701C2211yescharacteristic, complemented
131#1701C2211yescharacteristic, complemented
132#1698C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1697C2211yescharacteristic, complemented
137#1697C2211yescharacteristic, complemented
138#1691C2211yescharacteristic, complemented
139#1689C2211yescharacteristic, complemented
140#1687C2211yescharacteristic, complemented
141#1687C2211yescharacteristic, complemented
142#1687C2211yescharacteristic, complemented
143#1685C2211yescharacteristic, complemented
144#1683C2211yescharacteristic, complemented
145#1682C2211yescharacteristic, complemented
146#1681C2211yescharacteristic, complemented
147#1681C2211yescharacteristic, complemented
148#1678C2211yescharacteristic, complemented
149#1678C2211yescharacteristic, complemented
150#1678C2211yescharacteristic, complemented
151#1677C2211yescharacteristic, complemented
152#1677C2211yescharacteristic, complemented
153#1677C2211yescharacteristic, complemented
154#1671C2211yescharacteristic, complemented
155#1669C2211yescharacteristic, complemented
156#1668C2211yescharacteristic, complemented
157#1668C2211yescharacteristic, complemented
158#1667C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1646C2211yescharacteristic, complemented
161#1644C2211yescharacteristic, complemented
162#1641C2211yescharacteristic, complemented
163#1639C2211yescharacteristic, complemented
164#1639C2211yescharacteristic, complemented
165#1639C2211yescharacteristic, complemented
166#1639C2211yescharacteristic, complemented
167#1639C2211yescharacteristic, complemented
168#1638C2211yescharacteristic, complemented
169#1635C2211yescharacteristic, complemented
170#1634C2211yescharacteristic, complemented
171#1634C2211yescharacteristic, complemented
172#1632C2211yescharacteristic, complemented
173#1632C2211yescharacteristic, complemented
174#1631C2211yescharacteristic, complemented
175#1629C2211yescharacteristic, complemented
176#1628C2211yescharacteristic, complemented
177#1628C2211yescharacteristic, complemented
178#1628C2211yescharacteristic, complemented
179#1627C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1625C2211yescharacteristic, complemented
182#1624C2211yescharacteristic, complemented
183#1622C2211yescharacteristic, complemented
184#1620C2211yescharacteristic, complemented
185#1620C2211yescharacteristic, complemented
186#1619C2211yescharacteristic
187#1619C2211yescharacteristic
188#1619C2211yescharacteristic, complemented
189#1619C2211yescharacteristic, complemented
190#1619C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, 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, complemented
209#1569C2211yescharacteristic, complemented
210#1560C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1554C2211yescharacteristic, complemented
213#1545C2211yescharacteristic, complemented
214#1495C2211yescharacteristic, complemented
215#1488C2211yescharacteristic, complemented
216#1486C2211yescharacteristic, complemented
217#1478C2211yescharacteristic, complemented
218#1453C2211yescharacteristic, complemented
219C23×D4—21no—
220C23×D4—21no—
221C2×#137—21no—
222C2×AGL(1,ℤ/8)—21no—
223C2×AGL(1,ℤ/8)—21no—
224C2×AGL(1,ℤ/8)—21no—
225C2×AGL(1,ℤ/8)—21no—
226C2×AGL(1,ℤ/8)—21no—
227C2×AGL(1,ℤ/8)D411yescharacteristic
228C22×D8—21no—
229C22×D8—21no—
230C22×D8—21no—
231C22×M16—21no—
232#559C2311yescharacteristic, complemented
233#556C2311yescharacteristic
234#556C2311yescharacteristic, complemented
235#555—21no—
236#555C2311yescharacteristic
237#555C2311yescharacteristic
238#554C2311yescharacteristic
239#554C2311yescharacteristic
240#553—21no—
241#553—21no—
242#553—21no—
243#552—21no—
244#552—21no—
245#551—41no—
246#551—41no—
247#550C2311yescharacteristic
248D4×Q8C2311yescharacteristic, complemented
249#548—21no—
250#547C2311yescharacteristic
251#546—21no—
252#546—21no—
253#546—21no—
254#546—21no—
255#546—41no—
256D42—21no—
257D42—21no—
258D42—21no—
259D42—21no—
260D42—21no—
261D42—41no—
262D42C2311yescharacteristic
263D42C2311yescharacteristic
264D42C2311yescharacteristic
265D42C2311yescharacteristic
266D42C2311yescharacteristic
267D42C2311yescharacteristic, complemented
268#542—21no—
269#540—21no—
270#538—41no—
271#538—41no—
272#533C2311yescharacteristic
273#532C2311yescharacteristic
274#532C2311yescharacteristic
275C2×#127C2311yescharacteristic
276#529—21no—
277#529—21no—
278#529—41no—
279#529C2311yescharacteristic
280C2×#124—21no—
281#525—21no—
282#525—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#120—41no—
287#518—21no—
288#518—21no—
289C4×#41—21no—
290C4×#41C2311yescharacteristic
291C2×C4×D4C2311yescharacteristic
292C2×C4×D4C2311yescharacteristic
293C2×#117—21no—
294#501—21no—
295#498C2311yescharacteristic, complemented
296#496—21no—
297#496—21no—
298#495—21no—
299#495—21no—
300#494C2311yescharacteristic, complemented
301#494C2311yescharacteristic, complemented
302#493C2311yescharacteristic
303#493C2311yescharacteristic
304#493C2311yescharacteristic
305#493C2311yescharacteristic
306#493C2311yescharacteristic, complemented
307#492C2311yescharacteristic, complemented
308#492C2311yescharacteristic, complemented
309#490—21no—
310#490—21no—
311#490—21no—
312#488—21no—
313#488—21no—
314#488—21no—
315#487C2311yescharacteristic, complemented
316#487C2311yescharacteristic, complemented
317#486—21no—
318#486C2311yescharacteristic
319#486C2311yescharacteristic
320#486C2311yescharacteristic
321#486C2311yescharacteristic
322#486C2311yescharacteristic
323#486C2311yescharacteristic
324#486C2311yescharacteristic
325#486C2311yescharacteristic
326#486C2311yescharacteristic, complemented
327#486C2311yescharacteristic, complemented
328#486C2311yescharacteristic, complemented
329#486C2311yescharacteristic, complemented
330#485—21no—
331#485—21no—
332#484D411yescharacteristic
333#482—21no—
334#482—21no—
335#482—21no—
336#482—21no—
337#482—21no—
338#482—21no—
339#482—21no—
340#482—21no—
341#482—21no—
342#482—21no—
343#482—21no—
344#481—21no—
345#481—21no—
346#481—21no—
347#481—21no—
348#481—21no—
349#481D411yescharacteristic
350#480—21no—
351#480—21no—
352#480—21no—
353#479—21no—
354#479—21no—
355#478—21no—
356#478—21no—
357#478—21no—
358#478—21no—
359#478—21no—
360#478D411yescharacteristic
361#478D411yescharacteristic
362#477C2311yescharacteristic, complemented
363#477C2311yescharacteristic, complemented
364#476—21no—
365#476C2311yescharacteristic
366#476C2311yescharacteristic
367#476C2311yescharacteristic
368#476C2311yescharacteristic
369#476C2311yescharacteristic, complemented
370#476C2311yescharacteristic, complemented
371#474—21no—
372#474C2311yescharacteristic
373#474C2311yescharacteristic
374#474C2311yescharacteristic
375#474C2311yescharacteristic
376#470—21no—
377#470—21no—
378#469—21no—
379#469—21no—
380#469—21no—
381#469—21no—
382#469—21no—
383#469—21no—
384#469—21no—
385#469—21no—
386#469—21no—
387#469—21no—
388#468—21no—
389#468—21no—
390#468—21no—
391#468—21no—
392#468—21no—
393#468—21no—
394#466—21no—
395#466—21no—
396#466—21no—
397#466—21no—
398#466—21no—
399#465—21no—
400#465—21no—
401#465—21no—
402#465—21no—
403#465—21no—
404#464—21no—
405#464—21no—
406#464—21no—
407#464—21no—
408#464—21no—
409#464—21no—
410#464—41no—
411#463—21no—
412#463—21no—
413#463—21no—
414#463—21no—
415#463—21no—
416#463—21no—
417#463—21no—
418#463D411yescharacteristic
419#463D411yescharacteristic
420#462C2311yescharacteristic, complemented
421#461C2311yescharacteristic
422#461C2311yescharacteristic
423#461C2311yescharacteristic, complemented
424#460—21no—
425#460C2311yescharacteristic
426#460C2311yescharacteristic
427#460C2311yescharacteristic
428#460C2311yescharacteristic
429#460C2311yescharacteristic, complemented
430#459—21no—
431#459—21no—
432#459—21no—
433#459—21no—
434#459—21no—
435#459—41no—
436#459C2311yescharacteristic
437#459C2311yescharacteristic
438#459C2311yescharacteristic
439#459C2311yescharacteristic
440#459C2311yescharacteristic
441#459C2311yescharacteristic
442#459C2311yescharacteristic
443#459C2311yescharacteristic
444#459C2311yescharacteristic
445#459C2311yescharacteristic
446#459C2311yescharacteristic, complemented
447#452—21no—
448#452—21no—
449#452—21no—
450#452—41no—
451#451—21no—
452#450—21no—
453#450—21no—
454#450—21no—
455#450—21no—
456#450—21no—
457#450—21no—
458#450—21no—
459#450—21no—
460#450—21no—
461#450D411yescharacteristic
462#449—21no—
463#449—21no—
464#449—21no—
465#449—21no—
466#448—21no—
467#447—21no—
468#447—21no—
469#447—21no—
470#447—21no—
471#447—21no—
472#447—21no—
473#447—21no—
474#447—21no—
475#447—21no—
476#447—21no—
477#447—21no—
478#447—21no—
479#447—21no—
480#447—21no—
481#447—21no—
482#447—21no—
483#447—21no—
484#447—21no—
485#447—21no—
486#447—21no—
487#447—21no—
488#447—41no—
489#447D411yescharacteristic
490#446C2311yescharacteristic, complemented
491C8×Q8C2311yescharacteristic, complemented
492C8×Q8C2311yescharacteristic, complemented
493C8×Q8C2311yescharacteristic, complemented
494#442—21no—
495#442—21no—
496#442—21no—
497#442—21no—
498#442—21no—
499#442—21no—
500#442D411yescharacteristic
501#442D411yescharacteristic
502#440D411yescharacteristic
503#440D411yescharacteristic
504C4×Q16—21no—
505C4×SD16—21no—
506C4×SD16—21no—
507C4×SD16—21no—
508C4×SD16C2311yescharacteristic
509C4×SD16C2311yescharacteristic
510C4×SD16C2311yescharacteristic
511C4×SD16C2311yescharacteristic
512C4×D8—21no—
513C4×D8—21no—
514C4×D8—21no—
515C4×D8—21no—
516C4×D8—21no—
517C4×D8—21no—
518C4×D8C2311yescharacteristic
519C4×D8C2311yescharacteristic
520C4×D8C2311yescharacteristic
521C4×D8C2311yescharacteristic
522#436—21no—
523#436—21no—
524#436—21no—
525#436C2311yescharacteristic
526#436C2311yescharacteristic
527#436C2311yescharacteristic
528#436C2311yescharacteristic
529#436C2311yescharacteristic, complemented
530#436C2311yescharacteristic, complemented
531#436C2311yescharacteristic, complemented
532#435—21no—
533#435—21no—
534#435—21no—
535#435—21no—
536#435—21no—
537C8×D4C2311yescharacteristic
538C8×D4C2311yescharacteristic
539C8×D4C2311yescharacteristic
540C8×D4C2311yescharacteristic
541C8×D4C2311yescharacteristic, complemented
542#433—21no—
543#432C2311yescharacteristic
544#431—21no—
545#431C2311yescharacteristic
546#431C2311yescharacteristic
547#431C2311yescharacteristic
548#428—21no—
549#428D411yescharacteristic
550#427—21no—
551#423—21no—
552#423C2311yescharacteristic
553#423C2311yescharacteristic
554#419—21no—
555#418—21no—
556#418—21no—
557#418—21no—
558#418—21no—
559#418—21no—
560#418—21no—
561#418—21no—
562#418—21no—
563#418—21no—
564#418—21no—
565#418—21no—
566#418—21no—
567#418—21no—
568#418D411yescharacteristic
569#417—21no—
570#417D411yescharacteristic
571C2×#102—21no—
572C2×#102—21no—
573C2×#102—21no—
574C2×#102—21no—
575C2×#102—21no—
576C2×#102—21no—
577#407—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580#405—21no—
581C4×M16C2311yescharacteristic
582#335C2311yescharacteristic, complemented
583#335C2311yescharacteristic, complemented
584#335C2311yescharacteristic, complemented
585#335C2311yescharacteristic, complemented
586#334C2311yescharacteristic, complemented
587#334C2311yescharacteristic, complemented
588#334C2311yescharacteristic, complemented
589#334C2311yescharacteristic, complemented
590#333C2311yescharacteristic, complemented
591#333C2311yescharacteristic, complemented
592#333C2311yescharacteristic, complemented
593#333C2311yescharacteristic, complemented
594#332C2311yescharacteristic, complemented
595#332C2311yescharacteristic, complemented
596#332C2311yescharacteristic, complemented
597#332C2311yescharacteristic, complemented
598#331C2311yescharacteristic
599#331C2311yescharacteristic
600#331C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic, complemented
603#331C2311yescharacteristic, complemented
604#331C2311yescharacteristic, complemented
605#331C2311yescharacteristic, complemented
606Q8⋊C8C2311yescharacteristic, complemented
607Q8⋊C8C2311yescharacteristic, complemented
608Q8⋊C8C2311yescharacteristic, complemented
609Q8⋊C8C2311yescharacteristic, complemented
610D4⋊C8C2311yescharacteristic
611D4⋊C8C2311yescharacteristic
612D4⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic, complemented
619D4⋊C8C2311yescharacteristic, complemented
620D4⋊C8C2311yescharacteristic, complemented
621D4⋊C8C2311yescharacteristic, complemented
622#322C2311yescharacteristic, complemented
623#322C2311yescharacteristic, complemented
624#322C2311yescharacteristic, complemented
625C82C2311yescharacteristic, complemented
626C25—41no—
627C2×#41—21no—
628C2×#41—21no—
629C2×#41—21no—
630C2×#41—21no—
631C2×#41C2×D411yescharacteristic
632C22×Q8—21no—
633C22×D4—21no—
634C22×D4—21no—
635C22×D4—21no—
636C22×D4—21no—
637C22×D4—21no—
638C22×D4—21no—
639C22×D4—21no—
640C22×D4—21no—
641C22×D4—21no—
642C22×D4—21no—
643C22×D4—21no—
644C22×D4—21no—
645C22×D4—21no—
646C22×D4—21no—
647C22×D4—21no—
648C22×D4—41no—
649C22×D4—41no—
650C22×D4—41no—
651C22×D4—41no—
652C22×D4—41no—
653C22×D4—41no—
654C22×D4—44no—
655C22×D4—41no—
656C22×D4—82no—
657C22×D4—82no—
658C22×D4—82no—
659C22×D4C2×D411yescharacteristic
660C22×D4C2×D411yescharacteristic
661C23×C4—21no—
662C23×C4—21no—
663#137—82no—
664AGL(1,ℤ/8)—42no—
665AGL(1,ℤ/8)—82no—
666AGL(1,ℤ/8)—82no—
667AGL(1,ℤ/8)—82no—
668AGL(1,ℤ/8)—82no—
669AGL(1,ℤ/8)—82no—
670C2×Q16—21no—
671C2×Q16—21no—
672C2×Q16—21no—
673C2×Q16—41no—
674C2×SD16—21no—
675C2×SD16—21no—
676C2×SD16—21no—
677C2×SD16—21no—
678C2×SD16—21no—
679C2×SD16—21no—
680C2×SD16—21no—
681C2×SD16—21no—
682C2×SD16—21no—
683C2×SD16—21no—
684C2×SD16—41no—
685C2×SD16C2×D411yescharacteristic
686C2×SD16C2×D411yescharacteristic
687C2×SD16C2×D411yescharacteristic
688C2×SD16C2×D411yescharacteristic
689C2×D8—21no—
690C2×D8—21no—
691C2×D8—21no—
692C2×D8—21no—
693C2×D8—21no—
694C2×D8—21no—
695C2×D8—21no—
696C2×D8—21no—
697C2×D8—21no—
698C2×D8—21no—
699C2×D8—21no—
700C2×D8—21no—
701C2×D8—21no—
702C2×D8—21no—
703C2×D8—21no—
704C2×D8—21no—
705C2×D8—21no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—44no—
709C2×D8—82no—
710C2×D8—82no—
711C2×D8C2×D411yescharacteristic
712C2×D8C2×D411yescharacteristic
713C2×D8C2×D411yescharacteristic
714C2×D8C2×D411yescharacteristic
715C2×M16—21no—
716C2×M16—21no—
717C2×M16—21no—
718C2×M16—21no—
719C2×M16—21no—
720C2×M16—21no—
721C2×M16—21no—
722C2×M16—21no—
723C2×M16—21no—
724C2×M16—82no—
725C2×M16C2×D411yescharacteristic
726C2×M16C2×D411yescharacteristic
727C22×C8—21no—
728C22×C8—21no—
729C22×C8—21no—
730C22×C8—21no—
731C22×C8—21no—
732C4⋊Q8—21no—
733C4⋊Q8C2411yescharacteristic
734C4⋊Q8C2411yescharacteristic
735C4⋊Q8C2411yescharacteristic
736C4⋊Q8C2411yescharacteristic
737#127—21no—
738#127—21no—
739#127—21no—
740#127—21no—
741#127C2411yescharacteristic
742#127C2411yescharacteristic
743#127C2411yescharacteristic
744#127C2411yescharacteristic
745#126—21no—
746#126—41no—
747#126—41no—
748#126—41no—
749#126—41no—
750#126—41no—
751#126—41no—
752#125—21no—
753#125—21no—
754#125—21no—
755#125—41no—
756#125C2×D411yescharacteristic
757#124—21no—
758#124—21no—
759#124—21no—
760#124—21no—
761#124—21no—
762#124—21no—
763#124—41no—
764#124—41no—
765#124—41no—
766#124—41no—
767#124—41no—
768#124C2×D411yescharacteristic
769#123—21no—
770#123—41no—
771#123—41no—
772#123—41no—
773#123—41no—
774#123—41no—
775#123—41no—
776#123—41no—
777#123—41no—
778#123—41no—
779#123—41no—
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—41no—
789C22⋊Q8—41no—
790C22⋊Q8—41no—
791C22⋊Q8—41no—
792C22⋊Q8C2×D411yescharacteristic
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—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—41no—
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#121C2×D411yescharacteristic
828#120—41no—
829#120—41no—
830#120—41no—
831#120—41no—
832#120—41no—
833#120—41no—
834#120—41no—
835#120—41no—
836#120—41no—
837#120—41no—
838#120—41no—
839#120—41no—
840#120—41no—
841#120—41no—
842C4×Q8—21no—
843C4×Q8—21no—
844C4×Q8—21no—
845C4×Q8—21no—
846C4×Q8C2×D411yescharacteristic
847C4×Q8C2411yescharacteristic
848C4×Q8C2411yescharacteristic
849C4×D4—21no—
850C4×D4—21no—
851C4×D4—21no—
852C4×D4—21no—
853C4×D4—21no—
854C4×D4—21no—
855C4×D4—21no—
856C4×D4—21no—
857C4×D4—21no—
858C4×D4—21no—
859C4×D4—21no—
860C4×D4—21no—
861C4×D4—21no—
862C4×D4—21no—
863C4×D4—21no—
864C4×D4—21no—
865C4×D4—21no—
866C4×D4—41no—
867C4×D4—41no—
868C4×D4—41no—
869C4×D4—41no—
870C4×D4—41no—
871C4×D4—41no—
872C4×D4—41no—
873C4×D4—41no—
874C4×D4C2×D411yescharacteristic
875C4×D4C2×D411yescharacteristic
876C4×D4C2×D411yescharacteristic
877C4×D4C2×D411yescharacteristic
878C4×D4C2×D411yescharacteristic
879C4×D4C2411yescharacteristic
880C4×D4C2411yescharacteristic
881C4×D4C2411yescharacteristic
882C4×D4C2411yescharacteristic
883C4×D4C2411yescharacteristic
884C4×D4C2411yescharacteristic
885#117—21no—
886#117—21no—
887#117—21no—
888#117—21no—
889#117—21no—
890#117—21no—
891#117—21no—
892#117—21no—
893#117—21no—
894#117—41no—
895#117—41no—
896#117—41no—
897#117—41no—
898#117C2×D411yescharacteristic
899C2×C4⋊C4—21no—
900C2×C4⋊C4—21no—
901C2×C4⋊C4—21no—
902C2×C4⋊C4C2×D411yescharacteristic
903C2×C4⋊C4C2×D411yescharacteristic
904C2×C22⋊C4—21no—
905C2×C22⋊C4—21no—
906C2×C22⋊C4—41no—
907C2×C22⋊C4—41no—
908C2×C22⋊C4—41no—
909C2×C22⋊C4—41no—
910C2×C22⋊C4—41no—
911C2×C22⋊C4—41no—
912C2×C22⋊C4—41no—
913C2×C42—21no—
914C2×C42—41no—
915C2×C42C2411yescharacteristic
916#107—21no—
917#107—21no—
918#107—21no—
919#107—21no—
920#107—21no—
921#107—21no—
922#107C2×D411yescharacteristic
923#107C2×D411yescharacteristic
924#107C2×D411yescharacteristic
925#107C2×D411yescharacteristic
926#106—21no—
927#106—21no—
928#106—21no—
929#106—21no—
930#106—21no—
931#106—21no—
932#106—21no—
933#106—21no—
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—41no—
964#103C2×D411yescharacteristic
965#103C2×D411yescharacteristic
966#103C2×D411yescharacteristic
967#103C2×D411yescharacteristic
968#102—21no—
969#102—21no—
970#102—21no—
971#102—21no—
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—21no—
1007#102—21no—
1008#102—21no—
1009#102—21no—
1010#102—21no—
1011#102—21no—
1012#102—41no—
1013#102—41no—
1014#102—41no—
1015#102C2×D411yescharacteristic
1016#102C2×D411yescharacteristic
1017#102C2×D411yescharacteristic
1018#102C2×D411yescharacteristic
1019#102C2×D411yescharacteristic
1020#102C2×D411yescharacteristic
1021#102C2×D411yescharacteristic
1022#102C2×D411yescharacteristic
1023#102C2×D411yescharacteristic
1024#102C2×D411yescharacteristic
1025#102C2×D411yescharacteristic
1026#102C2×D411yescharacteristic
1027C22⋊C8—21no—
1028C22⋊C8—21no—
1029C22⋊C8—21no—
1030C22⋊C8—21no—
1031C22⋊C8—21no—
1032C22⋊C8—21no—
1033C22⋊C8—21no—
1034C22⋊C8—21no—
1035C22⋊C8—21no—
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8C2×D411yescharacteristic
1043C22⋊C8C2×D411yescharacteristic
1044#97—21no—
1045#97—21no—
1046#97C2×D411yescharacteristic
1047#97C2×D411yescharacteristic
1048C4×C8—21no—
1049C4×C8—21no—
1050C4×C8—21no—
1051C4×C8—21no—
1052C4×C8C2411yescharacteristic
1053C4×C8C2411yescharacteristic
1054C4×C8C2411yescharacteristic
1055C4×C8C2411yescharacteristic
1056C4×C8C2411yescharacteristic
1057C4×C8C2411yescharacteristic
1058C24—21no—
1059C24—21no—
1060C24—41no—
1061C24—41no—
1062C24—41no—
1063C24—41no—
1064C24—41no—
1065C24—41no—
1066C24—41no—
1067C24—84no—
1068C24—84no—
1069C24—162no—
1070#41—41no—
1071#41—41no—
1072#41—42no—
1073#41—81no—
1074#41—81no—
1075#41—81no—
1076#41—81no—
1077#41—81no—
1078#41—161no—
1079C2×Q8—21no—
1080C2×Q8—21no—
1081C2×Q8—21no—
1082C2×Q8—21no—
1083C2×Q8—41no—
1084C2×Q8—81no—
1085C2×Q8—81no—
1086C2×Q8C22×D411yescharacteristic
1087C2×Q8C22×D411yescharacteristic
1088C2×D4—22no—
1089C2×D4—22no—
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—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—21no—
1103C2×D4—21no—
1104C2×D4—21no—
1105C2×D4—21no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—84no—
1159C2×D4—84no—
1160C2×D4—84no—
1161C2×D4—84no—
1162C2×D4—84no—
1163C2×D4—84no—
1164C2×D4—161no—
1165C2×D4—162no—
1166C2×D4C22×D411yescharacteristic
1167C2×D4C22×D411yescharacteristic
1168C2×D4C22×D411yescharacteristic
1169C2×D4C22×D411yescharacteristic
1170C2×D4C22×D411yescharacteristic
1171C2×D4C22×D411yescharacteristic
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—81no—
1197C22×C4—81no—
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4H(5,𝔽2)11yescharacteristic
1201Q16—81no—
1202Q16—81no—
1203Q16—81no—
1204Q16—161no—
1205SD16—22no—
1206SD16—22no—
1207SD16—41no—
1208SD16—41no—
1209SD16—42no—
1210SD16—81no—
1211SD16—81no—
1212SD16—81no—
1213SD16—81no—
1214SD16—81no—
1215SD16—81no—
1216SD16—81no—
1217SD16—81no—
1218SD16—81no—
1219SD16—161no—
1220D8—22no—
1221D8—22no—
1222D8—41no—
1223D8—41no—
1224D8—42no—
1225D8—42no—
1226D8—42no—
1227D8—42no—
1228D8—42no—
1229D8—42no—
1230D8—81no—
1231D8—81no—
1232D8—81no—
1233D8—81no—
1234D8—81no—
1235D8—81no—
1236D8—81no—
1237D8—81no—
1238D8—81no—
1239D8—81no—
1240D8—81no—
1241D8—161no—
1242D8—161no—
1243M16—41no—
1244M16—41no—
1245M16—42no—
1246M16—81no—
1247M16—81no—
1248M16—81no—
1249M16—81no—
1250M16—81no—
1251M16—81no—
1252M16—81no—
1253M16—81no—
1254C2×C8—21no—
1255C2×C8—21no—
1256C2×C8—21no—
1257C2×C8—21no—
1258C2×C8—21no—
1259C2×C8—21no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
1263C2×C8—21no—
1264C2×C8—42no—
1265C2×C8—81no—
1266C2×C8—81no—
1267C2×C8—81no—
1268C2×C8—81no—
1269C2×C8C22×D411yescharacteristic
1270C2×C8C22×D411yescharacteristic
1271C2×C8C22×D411yescharacteristic
1272C2×C8C22×D411yescharacteristic
1273C2×C8C22×D411yescharacteristic
1274C2×C8C22×D411yescharacteristic
1275C2×C8C22×D411yescharacteristic
1276C2×C8C22×D411yescharacteristic
1277C4⋊C4—21no—
1278C4⋊C4—21no—
1279C4⋊C4—21no—
1280C4⋊C4—21no—
1281C4⋊C4—21no—
1282C4⋊C4—21no—
1283C4⋊C4—21no—
1284C4⋊C4—21no—
1285C4⋊C4—21no—
1286C4⋊C4—21no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
1290C4⋊C4—21no—
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—41no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4C22×D411yescharacteristic
1304C4⋊C4C22×D411yescharacteristic
1305C4⋊C4C22×D411yescharacteristic
1306C4⋊C4C22×D411yescharacteristic
1307C4⋊C4C22×D411yescharacteristic
1308C4⋊C4C22×D411yescharacteristic
1309C4⋊C4C22×D411yescharacteristic
1310C4⋊C4C22×D411yescharacteristic
1311C22⋊C4—21no—
1312C22⋊C4—21no—
1313C22⋊C4—21no—
1314C22⋊C4—21no—
1315C22⋊C4—21no—
1316C22⋊C4—21no—
1317C22⋊C4—21no—
1318C22⋊C4—21no—
1319C22⋊C4—21no—
1320C22⋊C4—21no—
1321C22⋊C4—21no—
1322C22⋊C4—21no—
1323C22⋊C4—21no—
1324C22⋊C4—21no—
1325C22⋊C4—21no—
1326C22⋊C4—21no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C42—21no—
1355C42—21no—
1356C42—21no—
1357C42—21no—
1358C42—41no—
1359C42—41no—
1360C42—41no—
1361C42—41no—
1362C42—41no—
1363C42C22×D411yescharacteristic
1364C42C22×D411yescharacteristic
1365C42H(5,𝔽2)11yescharacteristic
1366C42C2511yescharacteristic
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—42no—
1374C23—42no—
1375C23—42no—
1376C23—42no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—81no—
1382C23—81no—
1383C23—82no—
1384C23—82no—
1385C23—82no—
1386C23—82no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—82no—
1396C23—161no—
1397C23—161no—
1398C23—161no—
1399C23—161no—
1400C23—161no—
1401C23—161no—
1402C23—161no—
1403C23—161no—
1404C23—1616no—
1405C23D4211yescharacteristic
1406Q8—21no—
1407Q8—21no—
1408Q8—21no—
1409Q8—21no—
1410Q8—41no—
1411Q8—41no—
1412Q8—41no—
1413Q8—41no—
1414Q8—81no—
1415Q8—81no—
1416Q8—161no—
1417D4—21no—
1418D4—21no—
1419D4—21no—
1420D4—21no—
1421D4—21no—
1422D4—21no—
1423D4—21no—
1424D4—21no—
1425D4—21no—
1426D4—21no—
1427D4—42no—
1428D4—42no—
1429D4—41no—
1430D4—41no—
1431D4—41no—
1432D4—41no—
1433D4—41no—
1434D4—41no—
1435D4—41no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—41no—
1444D4—41no—
1445D4—81no—
1446D4—81no—
1447D4—81no—
1448D4—81no—
1449D4—82no—
1450D4—82no—
1451D4—81no—
1452D4—81no—
1453D4—82no—
1454D4—82no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—82no—
1461D4—82no—
1462D4—82no—
1463D4—82no—
1464D4—82no—
1465D4—161no—
1466D4—161no—
1467D4—161no—
1468D4—161no—
1469D4—161no—
1470D4—161no—
1471D4—161no—
1472D4—161no—
1473D4#57512yes—
1474D4#57612yes—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—41no—
1490C2×C4—42no—
1491C2×C4—42no—
1492C2×C4—42no—
1493C2×C4—41no—
1494C2×C4—41no—
1495C2×C4—41no—
1496C2×C4—41no—
1497C2×C4—41no—
1498C2×C4—41no—
1499C2×C4—41no—
1500C2×C4—41no—
1501C2×C4—41no—
1502C2×C4—41no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—81no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—81no—
1514C2×C4—82no—
1515C2×C4—161no—
1516C2×C4—161no—
1517C2×C4—161no—
1518C2×C4—161no—
1519C2×C4—161no—
1520C2×C4—161no—
1521C2×C4—161no—
1522C2×C4D4211yescharacteristic
1523C2×C4D4211yescharacteristic
1524C2×C4D4211yescharacteristic
1525C2×C4C23×D411yescharacteristic
1526C2×C4C23×D411yescharacteristic
1527C2×C4C2×H(5,𝔽2)11yescharacteristic
1528C8—21no—
1529C8—21no—
1530C8—21no—
1531C8—21no—
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—41no—
1537C8—41no—
1538C8—41no—
1539C8—41no—
1540C8—41no—
1541C8—41no—
1542C8—41no—
1543C8—41no—
1544C8—41no—
1545C8—41no—
1546C22—21no—
1547C22—22no—
1548C22—21no—
1549C22—22no—
1550C22—21no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—84no—
1568C22—84no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—81no—
1576C22—81no—
1577C22—81no—
1578C22—81no—
1579C22—81no—
1580C22—81no—
1581C22—164no—
1582C22—164no—
1583C22—164no—
1584C22—164no—
1585C22—164no—
1586C22—322no—
1587C22—322no—
1588C22C2×D4211yescharacteristic
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—81no—
1604C4—81no—
1605C4—81no—
1606C4—81no—
1607C4C2×#57511yescharacteristic
1608C4C2×#57611yescharacteristic
1609C4#358511yescharacteristic
1610C4#358511yescharacteristic
1611C2—41no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2—161no—
1619C2—161no—
1620C2—161no—
1621C2—161no—
1622C2#6106611yescharacteristic
1623C2#6107211yescharacteristic
1624C2#6110611yescharacteristic
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. #62004C2semidirect
2. #61591C2semidirect
3. #61539C2semidirect
4. #61155C2semidirect
5. #20302C2semidirect
6. #20266C2semidirect
7. #20175C2semidirect
8. #20166C2semidirect
9. #20159C2semidirect
10. #20133C2semidirect
11. #20082C2semidirect
12. #20053C2semidirect
13. #20025C2semidirect
14. #19996C2semidirect
15. #19900C2semidirect
16. #19886C2semidirect
17. #19825C2semidirect
18. #19823C2semidirect
19. #19773C2semidirect
20. #19755C2semidirect
21. #19729C2semidirect
22. #19496C2semidirect
23. #19460C2semidirect
24. #19380C2semidirect
25. #19306C2semidirect
26. #18834C2semidirect
27. #18811C2semidirect
28. #18795C2semidirect
29. #18746C2semidirect
30. #18052C2semidirect
31. #18008C2semidirect
33. #3514C22semidirect
34. #3475C22semidirect
35. C2×D42C22semidirect
36. #3399C22semidirect
37. #3394C22semidirect
38. #3393C22semidirect
39. #3384C22semidirect
40. #3361C22semidirect
41. #3361C22semidirect
42. #3360C22semidirect
43. #3358C22semidirect
45. #3340C22semidirect
46. #3329C22semidirect
52. #3325C22semidirect
53. #3325C22semidirect
54. #3325C22semidirect
55. #3324C22semidirect
56. #3324C22semidirect
57. #3324C22semidirect
66. #3295C22semidirect
67. #3295C22semidirect
68. #3295C22semidirect
69. #3295C22semidirect
71. #3294C22semidirect
74. D4×D8C22semidirect
75. #3276C22semidirect
77. #3274C22semidirect
78. #3274C22semidirect
80. #3272C22semidirect
85. #3252C22semidirect
88. #3210C22semidirect
89. #3210C22semidirect
90. #3205C22semidirect
91. #3205C22semidirect
94. #3184C22semidirect
96. #3138C22semidirect
99. #3109C22semidirect
100. #3106C22semidirect
105. #3077C22semidirect
108. #3038C22semidirect
109. #3036C22semidirect
113. #2991C22semidirect
114. #2974C22semidirect
115. #2969C22semidirect
118. D4×M16C22semidirect
120. #1721C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1720C22semidirect
124. #1717C22semidirect
125. #1717C22semidirect
126. #1709C22semidirect
127. #1709C22semidirect
128. #1703C22semidirect
129. #1702C22semidirect
130. #1701C22semidirect
131. #1701C22semidirect
132. #1698C22semidirect
133. #1697C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1697C22semidirect
137. #1697C22semidirect
138. #1691C22semidirect
139. #1689C22semidirect
140. #1687C22semidirect
141. #1687C22semidirect
142. #1687C22semidirect
143. #1685C22semidirect
144. #1683C22semidirect
145. #1682C22semidirect
146. #1681C22semidirect
147. #1681C22semidirect
148. #1678C22semidirect
149. #1678C22semidirect
150. #1678C22semidirect
151. #1677C22semidirect
152. #1677C22semidirect
153. #1677C22semidirect
154. #1671C22semidirect
155. #1669C22semidirect
156. #1668C22semidirect
157. #1668C22semidirect
158. #1667C22semidirect
159. #1665C22semidirect
160. #1646C22semidirect
161. #1644C22semidirect
162. #1641C22semidirect
163. #1639C22semidirect
164. #1639C22semidirect
165. #1639C22semidirect
166. #1639C22semidirect
167. #1639C22semidirect
168. #1638C22semidirect
169. #1635C22semidirect
170. #1634C22semidirect
171. #1634C22semidirect
172. #1632C22semidirect
173. #1632C22semidirect
174. #1631C22semidirect
175. #1629C22semidirect
176. #1628C22semidirect
177. #1628C22semidirect
178. #1628C22semidirect
179. #1627C22semidirect
180. #1627C22semidirect
181. #1625C22semidirect
182. #1624C22semidirect
183. #1622C22semidirect
184. #1620C22semidirect
185. #1620C22semidirect
188. #1619C22semidirect
189. #1619C22semidirect
190. #1619C22semidirect
191. #1619C22semidirect
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
208. #1574C22semidirect
209. #1569C22semidirect
210. #1560C22semidirect
211. #1557C22semidirect
212. #1554C22semidirect
213. #1545C22semidirect
214. #1495C22semidirect
215. #1488C22semidirect
216. #1486C22semidirect
217. #1478C22semidirect
218. #1453C22semidirect
232. #559C23semidirect
234. #556C23semidirect
248. D4×Q8C23semidirect
267. D42C23semidirect
295. #498C23semidirect
300. #494C23semidirect
301. #494C23semidirect
306. #493C23semidirect
307. #492C23semidirect
308. #492C23semidirect
315. #487C23semidirect
316. #487C23semidirect
326. #486C23semidirect
327. #486C23semidirect
328. #486C23semidirect
329. #486C23semidirect
362. #477C23semidirect
363. #477C23semidirect
369. #476C23semidirect
370. #476C23semidirect
420. #462C23semidirect
423. #461C23semidirect
429. #460C23semidirect
446. #459C23semidirect
490. #446C23semidirect
491. C8×Q8C23semidirect
492. C8×Q8C23semidirect
493. C8×Q8C23semidirect
529. #436C23semidirect
530. #436C23semidirect
531. #436C23semidirect
541. C8×D4C23semidirect
582. #335C23semidirect
583. #335C23semidirect
584. #335C23semidirect
585. #335C23semidirect
586. #334C23semidirect
587. #334C23semidirect
588. #334C23semidirect
589. #334C23semidirect
590. #333C23semidirect
591. #333C23semidirect
592. #333C23semidirect
593. #333C23semidirect
594. #332C23semidirect
595. #332C23semidirect
596. #332C23semidirect
597. #332C23semidirect
602. #331C23semidirect
603. #331C23semidirect
604. #331C23semidirect
605. #331C23semidirect
606. Q8⋊C8C23semidirect
607. Q8⋊C8C23semidirect
608. Q8⋊C8C23semidirect
609. Q8⋊C8C23semidirect
618. D4⋊C8C23semidirect
619. D4⋊C8C23semidirect
620. D4⋊C8C23semidirect
621. D4⋊C8C23semidirect
622. #322C23semidirect
623. #322C23semidirect
624. #322C23semidirect
625. C82C23semidirect

Maximal subgroups

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

subgroupindex
#620042
#615912
#615392
#611552
#203022
#202662
#201752
#201662
#201592
#201332
#200822
#200532
#200252
#199962
#199002
#198862
#198252
#198232
#197732
#197552
#197292
#194962
#194602
#193802
#193062
#188342
#188112
#187952
#187462
#180522
#180082