Finite Group Databasebeta

← #6362631

Subgroups — #6362631

Order 512.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1617 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#61840C211yesmaximal, characteristic, complemented
2#61598C211yesmaximal, characteristic, complemented
3SD16×#41C211yesmaximal, characteristic, complemented
4#61085C211yesmaximal, characteristic, complemented
5#20085C211yesmaximal, characteristic, complemented
6#20084C211yesmaximal, characteristic, complemented
7#20072C211yesmaximal, characteristic, complemented
8#20045C211yesmaximal, characteristic, complemented
9#20031C211yesmaximal, characteristic, complemented
10#20030C211yesmaximal, characteristic, complemented
11#20025C211yesmaximal, characteristic, complemented
12#20024C211yesmaximal, characteristic, complemented
13#19981C211yesmaximal, characteristic, complemented
14SD162C211yesmaximal, characteristic, complemented
15#19970C211yesmaximal, characteristic, complemented
16D8×SD16C211yesmaximal, characteristic, complemented
17#19922C211yesmaximal, characteristic, complemented
18#19915C211yesmaximal, characteristic, complemented
19#19892C211yesmaximal, characteristic, complemented
20#19890C211yesmaximal, characteristic, complemented
21#19641C211yesmaximal, characteristic, complemented
22#19473C211yesmaximal, characteristic, complemented
23#19467C211yesmaximal, characteristic, complemented
24#19328C211yesmaximal, characteristic, complemented
25#19269C211yesmaximal, characteristic, complemented
26#18610C211yesmaximal, characteristic, complemented
27#18599C211yesmaximal, characteristic, complemented
28#18556C211yesmaximal, characteristic, complemented
29#18554C211yesmaximal, characteristic, complemented
30#18056C211yesmaximal, characteristic, complemented
31#17912C211yesmaximal, characteristic, complemented
32C2×#577—21no—
33#3497C2211yescharacteristic, complemented
34#3496C2211yescharacteristic
35Q8×#41C2211yescharacteristic, complemented
36D4×#41C2211yescharacteristic
37#3392C2211yescharacteristic, complemented
38#3386—21no—
39#3386C2211yescharacteristic, complemented
40#3384—21no—
41#3384C2211yescharacteristic, complemented
42Q8×SD16C2211yescharacteristic, complemented
43Q8×SD16C2211yescharacteristic, complemented
44Q8×D8C2211yescharacteristic, complemented
45#3368—21no—
46#3368C2211yescharacteristic, complemented
47#3366—21no—
48#3366C2211yescharacteristic, complemented
49#3362C2211yescharacteristic, complemented
50#3362C2211yescharacteristic, complemented
51#3359C2211yescharacteristic, complemented
52#3358C2211yescharacteristic, complemented
53#3335—21no—
54#3335C2211yescharacteristic, complemented
55#3332C2211yescharacteristic
56#3330C2211yescharacteristic
57#3308—21no—
58#3306—21no—
59#3298—21no—
60#3298C2211yescharacteristic
61#3298C2211yescharacteristic, complemented
62#3295—21no—
63#3295C2211yescharacteristic, complemented
64#3294C2211yescharacteristic
65#3284C2211yescharacteristic
66#3284C2211yescharacteristic, complemented
67#3282—21no—
68#3282—21no—
69D4×SD16—21no—
70D4×SD16C2211yescharacteristic
71D4×SD16C2211yescharacteristic
72D4×SD16C2211yescharacteristic, complemented
73D4×SD16C2211yescharacteristic, complemented
74D4×D8C2211yescharacteristic
75#3276C2211yescharacteristic
76#3276C2211yescharacteristic, complemented
77#3275—21no—
78#3275—21no—
79#3274C2211yescharacteristic
80#3274C2211yescharacteristic
81#3274C2211yescharacteristic, complemented
82#3272C2211yescharacteristic
83#3265—21no—
84#3264—21no—
85#3235—21no—
86#3235C2211yescharacteristic, complemented
87#3228—21no—
88#3228C2211yescharacteristic, complemented
89#3214C2211yescharacteristic
90#3207C2211yescharacteristic
91#3194—21no—
92#3188—21no—
93#3184C2211yescharacteristic, complemented
94#3182C2211yescharacteristic, complemented
95#3167—21no—
96#3167C2211yescharacteristic, complemented
97#3147C2211yescharacteristic, complemented
98#3115—21no—
99#3115C2211yescharacteristic
100#3115C2211yescharacteristic, complemented
101#3106—21no—
102#3106C2211yescharacteristic
103#3103—21no—
104#3103C2211yescharacteristic, complemented
105#3101—21no—
106#3101C2211yescharacteristic
107#3060—21no—
108#3037C2211yescharacteristic, complemented
109#3036C2211yescharacteristic
110#3013—21no—
111#3012—21no—
112#3006—21no—
113C2×#449—21no—
114#2984C2211yescharacteristic, complemented
115#2974C2211yescharacteristic
116C8×#41C2211yescharacteristic, complemented
117C2×C4×SD16—21no—
118C2×C4×SD16C2211yescharacteristic
119#2931C2211yescharacteristic, complemented
120#1723C2211yescharacteristic, complemented
121#1721C2211yescharacteristic, complemented
122#1720C2211yescharacteristic, complemented
123#1717C2211yescharacteristic, complemented
124#1708C2211yescharacteristic, complemented
125#1706C2211yescharacteristic, complemented
126#1706C2211yescharacteristic, complemented
127#1705C2211yescharacteristic, complemented
128#1702C2211yescharacteristic, complemented
129#1701C2211yescharacteristic, complemented
130#1700C2211yescharacteristic, complemented
131#1699C2211yescharacteristic, complemented
132#1699C2211yescharacteristic, complemented
133#1697C2211yescharacteristic, complemented
134#1697C2211yescharacteristic, complemented
135#1697C2211yescharacteristic, complemented
136#1693C2211yescharacteristic, complemented
137#1691C2211yescharacteristic, complemented
138#1688C2211yescharacteristic, complemented
139#1686C2211yescharacteristic, complemented
140#1682C2211yescharacteristic, complemented
141#1681C2211yescharacteristic, complemented
142#1680C2211yescharacteristic, complemented
143#1677C2211yescharacteristic, complemented
144#1673C2211yescharacteristic, complemented
145#1671C2211yescharacteristic, complemented
146#1671C2211yescharacteristic, complemented
147#1671C2211yescharacteristic, complemented
148#1670C2211yescharacteristic, complemented
149#1669C2211yescharacteristic, complemented
150#1668C2211yescharacteristic, complemented
151#1668C2211yescharacteristic, complemented
152#1667C2211yescharacteristic, complemented
153#1666C2211yescharacteristic, complemented
154#1666C2211yescharacteristic, complemented
155#1666C2211yescharacteristic, complemented
156#1665C2211yescharacteristic, complemented
157#1665C2211yescharacteristic, complemented
158#1665C2211yescharacteristic, complemented
159#1665C2211yescharacteristic, complemented
160#1654C2211yescharacteristic, complemented
161#1651C2211yescharacteristic, complemented
162#1651C2211yescharacteristic, complemented
163#1651C2211yescharacteristic, complemented
164#1649C2211yescharacteristic, complemented
165#1648C2211yescharacteristic, complemented
166#1647C2211yescharacteristic
167#1647C2211yescharacteristic, complemented
168#1645C2211yescharacteristic, complemented
169#1644C2211yescharacteristic, complemented
170#1642C2211yescharacteristic, complemented
171#1642C2211yescharacteristic, complemented
172#1642C2211yescharacteristic, complemented
173#1639C2211yescharacteristic
174#1639C2211yescharacteristic, complemented
175#1639C2211yescharacteristic, complemented
176#1635C2211yescharacteristic
177#1635C2211yescharacteristic, complemented
178#1629C2211yescharacteristic
179#1629C2211yescharacteristic, complemented
180#1627C2211yescharacteristic, complemented
181#1627C2211yescharacteristic, complemented
182#1627C2211yescharacteristic, complemented
183#1627C2211yescharacteristic, complemented
184#1626C2211yescharacteristic, complemented
185#1625C2211yescharacteristic, complemented
186#1623C2211yescharacteristic, complemented
187#1622C2211yescharacteristic, complemented
188#1621C2211yescharacteristic, complemented
189#1621C2211yescharacteristic, complemented
190#1621C2211yescharacteristic, complemented
191#1619C2211yescharacteristic, complemented
192#1590C2211yescharacteristic, complemented
193#1590C2211yescharacteristic, complemented
194#1588C2211yescharacteristic, complemented
195#1588C2211yescharacteristic, complemented
196#1588C2211yescharacteristic, complemented
197#1588C2211yescharacteristic, complemented
198#1586C2211yescharacteristic, complemented
199#1586C2211yescharacteristic, complemented
200#1585C2211yescharacteristic, complemented
201#1585C2211yescharacteristic, complemented
202C8×SD16C2211yescharacteristic, complemented
203C8×SD16C2211yescharacteristic, complemented
204C8×SD16C2211yescharacteristic, complemented
205C8×SD16C2211yescharacteristic, complemented
206C8×D8C2211yescharacteristic, complemented
207C8×D8C2211yescharacteristic, complemented
208#1574C2211yescharacteristic, complemented
209#1568C2211yescharacteristic, complemented
210#1559C2211yescharacteristic, complemented
211#1557C2211yescharacteristic, complemented
212#1553C2211yescharacteristic, complemented
213#1553C2211yescharacteristic, complemented
214#1491C2211yescharacteristic, complemented
215#1490C2211yescharacteristic
216#1489C2211yescharacteristic, complemented
217#1484C2211yescharacteristic, complemented
218C8×M16C2211yescharacteristic, complemented
219C2×2−1+4—21no—
220C2×H(5,𝔽2)—21no—
221C22×#41—21no—
222#577—48no—
223C2×#137—21no—
224C2×#137—21no—
225C2×#137—21no—
226C2×AGL(1,ℤ/8)—21no—
227C2×AGL(1,ℤ/8)—21no—
228C2×AGL(1,ℤ/8)—21no—
229C2×AGL(1,ℤ/8)—21no—
230C2×AGL(1,ℤ/8)—21no—
231C2×#135—21no—
232C2×#135—21no—
233C2×#135—21no—
234C2×#135—21no—
235C22×SD16—21no—
236C22×SD16—21no—
237C22×SD16—21no—
238C22×SD16—21no—
239C22×SD16D411yescharacteristic
240C22×D8—21no—
241C2×#131—21no—
242Q82C2311yescharacteristic
243#557—21no—
244#557C2311yescharacteristic
245#554—21no—
246#554—21no—
247#554—41no—
248#554C2311yescharacteristic
249#550—21no—
250#550C2311yescharacteristic
251#550C2311yescharacteristic
252#550C2311yescharacteristic
253D4×Q8—21no—
254D4×Q8—21no—
255D4×Q8C2311yescharacteristic
256D4×Q8C2311yescharacteristic
257D4×Q8C2311yescharacteristic
258D4×Q8C2311yescharacteristic
259#548—21no—
260#548—21no—
261#548—21no—
262#548—41no—
263#547—21no—
264#547—21no—
265#547C2311yescharacteristic
266#547C2311yescharacteristic
267#547C2311yescharacteristic
268#546—21no—
269#546—21no—
270#546—21no—
271#546—41no—
272#546—41no—
273D42—21no—
274D42—21no—
275D42C2311yescharacteristic
276D42C2311yescharacteristic
277D42C2311yescharacteristic
278#537—21no—
279#537—21no—
280#537—41no—
281#534—41no—
282#533—21no—
283#533—21no—
284#533—41no—
285#533C2311yescharacteristic
286#532—21no—
287#532—21no—
288#532—21no—
289#532C2311yescharacteristic
290#532C2311yescharacteristic
291#532C2311yescharacteristic
292#532C2311yescharacteristic
293#525—21no—
294#525—41no—
295C2×#121—21no—
296C2×#121—21no—
297C4×#41—21no—
298C4×#41C2311yescharacteristic
299C2×C4×Q8—21no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×D4—21no—
302C2×C4×D4C2311yescharacteristic
303#501—21no—
304#501—21no—
305#501—21no—
306#500—21no—
307#500C2311yescharacteristic
308#500C2311yescharacteristic
309#498—21no—
310#498—21no—
311#498C2311yescharacteristic
312#498C2311yescharacteristic
313#498C2311yescharacteristic
314#496—21no—
315#495—21no—
316#495—21no—
317#494C2311yescharacteristic
318#493C2311yescharacteristic
319#493C2311yescharacteristic
320#493C2311yescharacteristic
321#492—21no—
322#492C2311yescharacteristic
323#492C2311yescharacteristic
324#492C2311yescharacteristic
325#492C2311yescharacteristic
326#492C2311yescharacteristic
327#490—21no—
328#490—21no—
329#490—21no—
330#489—21no—
331#487—21no—
332#487C2311yescharacteristic
333#487C2311yescharacteristic
334#487C2311yescharacteristic
335#486—21no—
336#486—21no—
337#486—21no—
338#486C2311yescharacteristic
339#486C2311yescharacteristic
340#486C2311yescharacteristic
341#486C2311yescharacteristic
342#486C2311yescharacteristic
343#486C2311yescharacteristic
344#486C2311yescharacteristic
345#484—21no—
346#483—21no—
347#483—21no—
348#483—21no—
349#483—21no—
350#482—21no—
351#482—21no—
352#482—21no—
353#482—21no—
354#482—21no—
355#482—21no—
356#482D411yescharacteristic
357#482D411yescharacteristic
358#481—21no—
359#481—21no—
360#481—21no—
361#481—21no—
362#480—21no—
363#478—21no—
364#478—21no—
365#478—21no—
366#478—21no—
367#478—21no—
368#478—21no—
369#477—21no—
370#477D411yescharacteristic
371#476—21no—
372#476—21no—
373#476—21no—
374#476—21no—
375#476—21no—
376#476D411yescharacteristic
377#476C2311yescharacteristic
378#476C2311yescharacteristic
379#476C2311yescharacteristic
380#476C2311yescharacteristic
381#475—21no—
382#475—21no—
383#475—21no—
384#475C2311yescharacteristic
385#475C2311yescharacteristic
386#475C2311yescharacteristic
387#475C2311yescharacteristic
388#474—21no—
389#474—21no—
390#474—21no—
391#474C2311yescharacteristic
392#474C2311yescharacteristic
393#474C2311yescharacteristic
394#474C2311yescharacteristic
395#470—21no—
396#470—21no—
397#469—21no—
398#469—21no—
399#469—21no—
400#469—21no—
401#469—41no—
402#468—21no—
403#468—21no—
404#468—41no—
405#466—21no—
406#466—21no—
407#465—21no—
408#465—21no—
409#465—21no—
410#465—21no—
411#465—21no—
412#465—21no—
413#465—21no—
414#465—21no—
415#465—21no—
416#465—21no—
417#465—21no—
418#465—21no—
419#464—21no—
420#464—21no—
421#463—21no—
422#463—21no—
423#463—21no—
424#463—21no—
425#462C2311yescharacteristic
426#462C2311yescharacteristic
427#461—21no—
428#461—21no—
429#461C2311yescharacteristic
430#461C2311yescharacteristic
431#461C2311yescharacteristic
432#461C2311yescharacteristic
433#461C2311yescharacteristic
434#461C2311yescharacteristic
435#460—21no—
436#460—21no—
437#460—21no—
438#460—21no—
439#460D411yescharacteristic
440#460C2311yescharacteristic
441#460C2311yescharacteristic
442#460C2311yescharacteristic
443#460C2311yescharacteristic
444#460C2311yescharacteristic
445#460C2311yescharacteristic
446#459—21no—
447#459—21no—
448#459D411yescharacteristic
449#459C2311yescharacteristic
450#459C2311yescharacteristic
451#459C2311yescharacteristic
452#459C2311yescharacteristic
453#459C2311yescharacteristic
454#459C2311yescharacteristic
455#452—21no—
456#452—21no—
457#452—21no—
458#452—21no—
459#451—21no—
460#451—21no—
461#450—21no—
462#450—21no—
463#450—21no—
464#450—21no—
465#450—21no—
466#450—21no—
467#450—21no—
468#449—21no—
469#449—21no—
470#449—21no—
471#449—21no—
472#449—21no—
473#449—21no—
474#449—21no—
475#449—21no—
476#449—21no—
477#449—21no—
478#449—21no—
479#449—21no—
480#449—21no—
481#449—21no—
482#449D411yescharacteristic
483#449D411yescharacteristic
484#448—21no—
485#448—21no—
486#448—21no—
487#448—21no—
488#448—21no—
489#448—21no—
490#448—21no—
491#447—21no—
492#447—21no—
493#447—21no—
494#447—21no—
495#447—21no—
496#447—21no—
497#446—21no—
498#446—21no—
499#446C2311yescharacteristic
500#446C2311yescharacteristic
501C8×Q8C2311yescharacteristic
502C8×Q8C2311yescharacteristic
503C8×Q8C2311yescharacteristic
504C8×Q8C2311yescharacteristic
505#442—21no—
506#442—21no—
507#442—21no—
508#442—21no—
509#442—41no—
510#440—21no—
511#440—21no—
512#440—21no—
513#440—21no—
514#440—41no—
515C4×SD16—21no—
516C4×SD16—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×SD16—21no—
527C4×SD16D411yescharacteristic
528C4×SD16D411yescharacteristic
529C4×SD16D411yescharacteristic
530C4×SD16D411yescharacteristic
531C4×SD16C2311yescharacteristic
532C4×SD16C2311yescharacteristic
533C4×SD16C2311yescharacteristic
534C4×SD16C2311yescharacteristic
535C4×SD16C2311yescharacteristic
536C4×SD16C2311yescharacteristic
537C4×D8—21no—
538C4×D8—21no—
539C4×D8C2311yescharacteristic
540C4×D8C2311yescharacteristic
541#436—21no—
542#436C2311yescharacteristic
543#436C2311yescharacteristic
544#436C2311yescharacteristic
545#436C2311yescharacteristic
546#435—21no—
547#435—21no—
548C8×D4—21no—
549C8×D4—21no—
550C8×D4—21no—
551C8×D4C2311yescharacteristic
552C8×D4C2311yescharacteristic
553C8×D4C2311yescharacteristic
554C8×D4C2311yescharacteristic
555C8×D4C2311yescharacteristic
556C8×D4C2311yescharacteristic
557#432—21no—
558#432C2311yescharacteristic
559#432C2311yescharacteristic
560#431—21no—
561#431—21no—
562#431C2311yescharacteristic
563#431C2311yescharacteristic
564C2×#106—21no—
565C2×#106D411yescharacteristic
566#423C2311yescharacteristic
567#417—21no—
568#417—21no—
569#417—21no—
570#417—21no—
571C2×#103—21no—
572C2×#103—21no—
573C2×#103D411yescharacteristic
574C2×#102—21no—
575C2×#102—21no—
576C2×#102D411yescharacteristic
577#408—21no—
578#407—21no—
579C2×C22⋊C8—21no—
580C4×M16C2311yescharacteristic
581C2×C4×C8—21no—
582C2×C4×C8C2311yescharacteristic
583#335C2311yescharacteristic
584#335C2311yescharacteristic
585#335C2311yescharacteristic
586#335C2311yescharacteristic
587#334C2311yescharacteristic
588#334C2311yescharacteristic
589#334C2311yescharacteristic
590#334C2311yescharacteristic
591#333C2311yescharacteristic
592#333C2311yescharacteristic
593#332C2311yescharacteristic
594#332C2311yescharacteristic
595#332C2311yescharacteristic
596#332C2311yescharacteristic
597#332C2311yescharacteristic
598#332C2311yescharacteristic
599#332C2311yescharacteristic
600#332C2311yescharacteristic
601#331C2311yescharacteristic
602#331C2311yescharacteristic
603#331C2311yescharacteristic
604#331C2311yescharacteristic
605#331C2311yescharacteristic
606#331C2311yescharacteristic
607Q8⋊C8C2311yescharacteristic
608Q8⋊C8C2311yescharacteristic
609Q8⋊C8C2311yescharacteristic
610Q8⋊C8C2311yescharacteristic
611Q8⋊C8C2311yescharacteristic
612Q8⋊C8C2311yescharacteristic
613D4⋊C8C2311yescharacteristic
614D4⋊C8C2311yescharacteristic
615D4⋊C8C2311yescharacteristic
616D4⋊C8C2311yescharacteristic
617D4⋊C8C2311yescharacteristic
618D4⋊C8C2311yescharacteristic
619D4⋊C8C2311yescharacteristic
620D4⋊C8C2311yescharacteristic
621D4⋊C8C2311yescharacteristic
622D4⋊C8C2311yescharacteristic
623#322C2311yescharacteristic
624#322C2311yescharacteristic
625C82C2311yescharacteristic
626C82C2311yescharacteristic
6272−1+4—44no—
6282−1+4—82no—
629H(5,𝔽2)—44no—
630H(5,𝔽2)—82no—
631C2×#41—21no—
632C2×#41—21no—
633C2×#41—21no—
634C2×#41—21no—
635C2×#41—21no—
636C2×#41—21no—
637C2×#41—21no—
638C2×#41—21no—
639C2×#41—21no—
640C2×#41—21no—
641C2×#41—41no—
642C2×#41—41no—
643C2×#41—41no—
644C2×#41—41no—
645C2×#41—41no—
646C2×#41—41no—
647C2×#41—82no—
648C2×#41—82no—
649C2×#41C2×D411yescharacteristic
650C22×Q8—21no—
651C22×Q8—21no—
652C22×Q8—21no—
653C22×Q8—21no—
654C22×Q8—41no—
655C22×Q8C2×D411yescharacteristic
656C22×D4—21no—
657C22×D4—21no—
658C22×D4—21no—
659C22×D4—21no—
660C22×D4—21no—
661C22×D4—21no—
662C22×D4—41no—
663C22×D4—41no—
664C22×D4—41no—
665C22×D4—41no—
666C22×D4C2×D411yescharacteristic
667C23×C4—21no—
668C23×C4—41no—
669#137—44no—
670#137—44no—
671#137—44no—
672AGL(1,ℤ/8)—44no—
673AGL(1,ℤ/8)—44no—
674AGL(1,ℤ/8)—44no—
675AGL(1,ℤ/8)—82no—
676AGL(1,ℤ/8)—82no—
677#135—44no—
678#135—44no—
679#135—44no—
680#135—82no—
681C2×Q16—21no—
682C2×Q16—21no—
683C2×Q16—21no—
684C2×Q16—21no—
685C2×SD16—24no—
686C2×SD16—21no—
687C2×SD16—21no—
688C2×SD16—21no—
689C2×SD16—21no—
690C2×SD16—21no—
691C2×SD16—21no—
692C2×SD16—21no—
693C2×SD16—21no—
694C2×SD16—21no—
695C2×SD16—21no—
696C2×SD16—21no—
697C2×SD16—21no—
698C2×SD16—21no—
699C2×SD16—21no—
700C2×SD16—21no—
701C2×SD16—21no—
702C2×SD16—21no—
703C2×SD16—21no—
704C2×SD16—21no—
705C2×SD16—21no—
706C2×SD16—41no—
707C2×SD16—44no—
708C2×SD16—44no—
709C2×SD16—44no—
710C2×SD16—82no—
711C2×SD16C2×D411yescharacteristic
712C2×SD16C2×D411yescharacteristic
713C2×SD16C2×D411yescharacteristic
714C2×SD16C2×D411yescharacteristic
715C2×SD16C2×D411yescharacteristic
716C2×SD16C2×D411yescharacteristic
717C2×D8—21no—
718C2×D8—21no—
719C2×D8—21no—
720C2×D8—21no—
721C2×D8—21no—
722C2×D8—21no—
723C2×D8—21no—
724C2×D8—21no—
725C2×D8—21no—
726C2×D8—21no—
727C2×D8—41no—
728C2×D8—82no—
729C2×D8C2×D411yescharacteristic
730C2×D8C2×D411yescharacteristic
731#131—44no—
732C2×M16—21no—
733C2×M16—21no—
734C2×M16—21no—
735C2×M16—21no—
736C2×M16—21no—
737C2×M16—21no—
738C22×C8—21no—
739C22×C8—21no—
740C22×C8—21no—
741C22×C8—21no—
742C22×C8—21no—
743C22×C8—21no—
744C22×C8C2×D411yescharacteristic
745C22×C8C2×D411yescharacteristic
746C4⋊Q8—21no—
747C4⋊Q8—21no—
748C4⋊Q8—21no—
749C4⋊Q8—21no—
750C4⋊Q8—21no—
751C4⋊Q8—21no—
752C4⋊Q8—21no—
753C4⋊Q8—41no—
754C4⋊Q8—41no—
755C4⋊Q8C2×D411yescharacteristic
756C4⋊Q8C2411yescharacteristic
757C4⋊Q8C2411yescharacteristic
758C4⋊Q8C2411yescharacteristic
759C4⋊Q8C2411yescharacteristic
760C4⋊Q8C2411yescharacteristic
761#127—21no—
762#127—21no—
763#127—21no—
764#127C2×D411yescharacteristic
765#127C2411yescharacteristic
766#127C2411yescharacteristic
767#127C2411yescharacteristic
768#125—21no—
769#125—21no—
770#125—21no—
771#125—41no—
772#125—41no—
773#125—41no—
774#124—21no—
775#124—21no—
776#124—21no—
777#124—21no—
778#124—41no—
779#124—41no—
780#124—41no—
781#123—41no—
782#123—41no—
783#123—41no—
784#123—41no—
785#123—41no—
786#123—41no—
787#123—41no—
788C22⋊Q8—21no—
789C22⋊Q8—21no—
790C22⋊Q8—21no—
791C22⋊Q8—21no—
792C22⋊Q8—21no—
793C22⋊Q8—21no—
794C22⋊Q8—21no—
795C22⋊Q8—21no—
796C22⋊Q8—21no—
797C22⋊Q8—21no—
798C22⋊Q8—41no—
799C22⋊Q8—41no—
800C22⋊Q8—41no—
801C22⋊Q8—41no—
802C22⋊Q8—41no—
803C22⋊Q8—41no—
804C22⋊Q8—41no—
805C22⋊Q8—41no—
806C22⋊Q8—41no—
807C22⋊Q8—41no—
808C22⋊Q8—41no—
809C22⋊Q8—41no—
810C22⋊Q8—41no—
811C22⋊Q8—41no—
812C22⋊Q8—41no—
813#121—21no—
814#121—21no—
815#121—21no—
816#121—21no—
817#121—21no—
818#121—21no—
819#121—21no—
820#121—21no—
821#121—21no—
822#121—21no—
823#121—21no—
824#121—21no—
825#121—21no—
826#121—21no—
827#121—21no—
828#121—21no—
829#121—21no—
830#121—21no—
831#121—21no—
832#121—41no—
833#121—41no—
834#121—41no—
835#121—41no—
836#121—41no—
837#121—41no—
838#121—41no—
839#121—41no—
840#121—41no—
841#121—41no—
842#121—41no—
843#121—41no—
844#121—41no—
845#121—41no—
846#121—41no—
847#121C2×D411yescharacteristic
848#121C2×D411yescharacteristic
849#120—41no—
850#120—41no—
851#120—41no—
852#120—41no—
853#120—41no—
854#120—41no—
855#120—41no—
856C4×Q8—21no—
857C4×Q8—21no—
858C4×Q8—21no—
859C4×Q8—21no—
860C4×Q8—21no—
861C4×Q8—21no—
862C4×Q8—21no—
863C4×Q8—21no—
864C4×Q8—41no—
865C4×Q8—41no—
866C4×Q8—41no—
867C4×Q8C2×D411yescharacteristic
868C4×Q8C2×D411yescharacteristic
869C4×Q8C2×D411yescharacteristic
870C4×Q8C2411yescharacteristic
871C4×Q8C2411yescharacteristic
872C4×Q8C2411yescharacteristic
873C4×D4—21no—
874C4×D4—21no—
875C4×D4—21no—
876C4×D4—21no—
877C4×D4—21no—
878C4×D4—21no—
879C4×D4—21no—
880C4×D4—21no—
881C4×D4—21no—
882C4×D4—21no—
883C4×D4—21no—
884C4×D4—21no—
885C4×D4—21no—
886C4×D4—21no—
887C4×D4—21no—
888C4×D4—21no—
889C4×D4—21no—
890C4×D4—21no—
891C4×D4—21no—
892C4×D4—41no—
893C4×D4—41no—
894C4×D4—41no—
895C4×D4—41no—
896C4×D4—41no—
897C4×D4—41no—
898C4×D4—41no—
899C4×D4C2×D411yescharacteristic
900C4×D4C2×D411yescharacteristic
901C4×D4C2×D411yescharacteristic
902C4×D4C2411yescharacteristic
903C4×D4C2411yescharacteristic
904C4×D4C2411yescharacteristic
905C4×D4C2411yescharacteristic
906C4×D4C2411yescharacteristic
907#117—21no—
908#117—21no—
909#117—41no—
910#117C2×D411yescharacteristic
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—21no—
914C2×C4⋊C4—21no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—41no—
917C2×C4⋊C4C2×D411yescharacteristic
918C2×C4⋊C4C2×D411yescharacteristic
919C2×C22⋊C4—21no—
920C2×C22⋊C4—41no—
921C2×C22⋊C4—41no—
922C2×C22⋊C4—41no—
923C2×C42—21no—
924C2×C42—21no—
925C2×C42—41no—
926C2×C42C2411yescharacteristic
927#107—21no—
928#107—21no—
929#107—21no—
930#107—21no—
931#107—21no—
932#107—21no—
933#107—41no—
934#107C2×D411yescharacteristic
935#107C2×D411yescharacteristic
936#106—21no—
937#106—21no—
938#106—21no—
939#106—21no—
940#106—21no—
941#106—21no—
942#106—21no—
943#106—21no—
944#106—21no—
945#106—21no—
946#106—21no—
947#106—21no—
948#106—41no—
949#106C2×D411yescharacteristic
950#106C2×D411yescharacteristic
951#106C2×D411yescharacteristic
952#106C2×D411yescharacteristic
953#106C2×D411yescharacteristic
954#106C2×D411yescharacteristic
955C4⋊C8—21no—
956C4⋊C8—21no—
957C4⋊C8—21no—
958C4⋊C8—21no—
959C4⋊C8—21no—
960C4⋊C8—21no—
961C4⋊C8—21no—
962C4⋊C8C2×D411yescharacteristic
963C4⋊C8C2×D411yescharacteristic
964C4⋊C8C2411yescharacteristic
965C4⋊C8C2411yescharacteristic
966C4⋊C8C2411yescharacteristic
967C4⋊C8C2411yescharacteristic
968C4⋊C8C2411yescharacteristic
969C4⋊C8C2411yescharacteristic
970C4⋊C8C2411yescharacteristic
971C4⋊C8C2411yescharacteristic
972#103—21no—
973#103—21no—
974#103—21no—
975#103—21no—
976#103—21no—
977#103—21no—
978#103—21no—
979#103—21no—
980#103—21no—
981#103—21no—
982#103—21no—
983#103—21no—
984#103—21no—
985#103—21no—
986#103—21no—
987#103—21no—
988#103—41no—
989#103C2×D411yescharacteristic
990#103C2×D411yescharacteristic
991#103C2×D411yescharacteristic
992#103C2×D411yescharacteristic
993#103C2×D411yescharacteristic
994#103C2×D411yescharacteristic
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—21no—
1013#102—21no—
1014#102—21no—
1015#102—21no—
1016#102—21no—
1017#102—21no—
1018#102—21no—
1019#102—21no—
1020#102—21no—
1021#102—21no—
1022#102—21no—
1023#102—41no—
1024#102—41no—
1025#102—41no—
1026#102C2×D411yescharacteristic
1027#102C2×D411yescharacteristic
1028#102C2×D411yescharacteristic
1029#102C2×D411yescharacteristic
1030#102C2×D411yescharacteristic
1031#102C2×D411yescharacteristic
1032#102C2×D411yescharacteristic
1033#102C2×D411yescharacteristic
1034#102C2×D411yescharacteristic
1035#102C2×D411yescharacteristic
1036C22⋊C8—21no—
1037C22⋊C8—21no—
1038C22⋊C8—21no—
1039C22⋊C8—21no—
1040C22⋊C8—21no—
1041C22⋊C8—21no—
1042C22⋊C8—21no—
1043C22⋊C8—21no—
1044C22⋊C8—21no—
1045C22⋊C8—21no—
1046C22⋊C8—21no—
1047C22⋊C8—21no—
1048C22⋊C8—21no—
1049C22⋊C8C2×D411yescharacteristic
1050C22⋊C8C2×D411yescharacteristic
1051#97—21no—
1052#97—21no—
1053#97—21no—
1054#97—21no—
1055#97—21no—
1056C4×C8—21no—
1057C4×C8—21no—
1058C4×C8—21no—
1059C4×C8—21no—
1060C4×C8—21no—
1061C4×C8C2×D411yescharacteristic
1062C4×C8C2×D411yescharacteristic
1063C4×C8C2411yescharacteristic
1064C4×C8C2411yescharacteristic
1065C4×C8C2411yescharacteristic
1066C4×C8C2411yescharacteristic
1067C4×C8C2411yescharacteristic
1068C4×C8C2411yescharacteristic
1069C24—21no—
1070C24—41no—
1071C24—41no—
1072C24—41no—
1073#41—22no—
1074#41—22no—
1075#41—42no—
1076#41—42no—
1077#41—42no—
1078#41—42no—
1079#41—42no—
1080#41—42no—
1081#41—42no—
1082#41—42no—
1083#41—42no—
1084#41—42no—
1085#41—42no—
1086#41—42no—
1087#41—81no—
1088#41—81no—
1089#41—84no—
1090#41—81no—
1091#41—81no—
1092#41—81no—
1093#41—81no—
1094#41—81no—
1095#41—81no—
1096#41—84no—
1097#41—84no—
1098#41—84no—
1099#41—84no—
1100#41—84no—
1101C2×Q8—21no—
1102C2×Q8—21no—
1103C2×Q8—22no—
1104C2×Q8—21no—
1105C2×Q8—21no—
1106C2×Q8—21no—
1107C2×Q8—21no—
1108C2×Q8—21no—
1109C2×Q8—41no—
1110C2×Q8—41no—
1111C2×Q8—41no—
1112C2×Q8—41no—
1113C2×Q8—41no—
1114C2×Q8—41no—
1115C2×Q8—42no—
1116C2×Q8—42no—
1117C2×Q8—42no—
1118C2×Q8—42no—
1119C2×Q8—81no—
1120C2×Q8—81no—
1121C2×Q8—81no—
1122C2×Q8—81no—
1123C2×Q8—84no—
1124C2×Q8C22×D411yescharacteristic
1125C2×Q8C22×D411yescharacteristic
1126C2×Q8C22×D411yescharacteristic
1127C2×D4—21no—
1128C2×D4—22no—
1129C2×D4—21no—
1130C2×D4—21no—
1131C2×D4—21no—
1132C2×D4—21no—
1133C2×D4—21no—
1134C2×D4—21no—
1135C2×D4—21no—
1136C2×D4—21no—
1137C2×D4—21no—
1138C2×D4—21no—
1139C2×D4—21no—
1140C2×D4—21no—
1141C2×D4—21no—
1142C2×D4—21no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—81no—
1167C2×D4—81no—
1168C2×D4—81no—
1169C2×D4—81no—
1170C2×D4—81no—
1171C2×D4—81no—
1172C2×D4—81no—
1173C2×D4—81no—
1174C2×D4—84no—
1175C2×D4—84no—
1176C2×D4—84no—
1177C2×D4—84no—
1178C2×D4C22×D411yescharacteristic
1179C2×D4C22×D411yescharacteristic
1180C2×D4C22×D411yescharacteristic
1181C2×D4C22×D411yescharacteristic
1182C2×D4C22×D411yescharacteristic
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—81no—
1210C22×C4—81no—
1211C22×C4—84no—
1212C22×C4C22×D411yescharacteristic
1213C22×C4C22×D411yescharacteristic
1214C22×C4H(5,𝔽2)11yescharacteristic
1215Q16—42no—
1216Q16—42no—
1217Q16—42no—
1218Q16—81no—
1219SD16—22no—
1220SD16—22no—
1221SD16—22no—
1222SD16—22no—
1223SD16—22no—
1224SD16—42no—
1225SD16—42no—
1226SD16—42no—
1227SD16—42no—
1228SD16—42no—
1229SD16—42no—
1230SD16—42no—
1231SD16—42no—
1232SD16—42no—
1233SD16—42no—
1234SD16—42no—
1235SD16—81no—
1236SD16—81no—
1237SD16—81no—
1238SD16—81no—
1239SD16—81no—
1240SD16—82no—
1241SD16—81no—
1242SD16—81no—
1243SD16—81no—
1244SD16—81no—
1245SD16AGL(1,ℤ/8)14yescomplemented
1246D8—22no—
1247D8—22no—
1248D8—42no—
1249D8—42no—
1250D8—42no—
1251D8—42no—
1252D8—42no—
1253D8—81no—
1254D8—81no—
1255D8—81no—
1256D8—82no—
1257D8—81no—
1258D8—81no—
1259M16—42no—
1260M16—42no—
1261M16—42no—
1262M16—42no—
1263M16—81no—
1264M16—81no—
1265C2×C8—21no—
1266C2×C8—22no—
1267C2×C8—21no—
1268C2×C8—21no—
1269C2×C8—21no—
1270C2×C8—21no—
1271C2×C8—21no—
1272C2×C8—21no—
1273C2×C8—21no—
1274C2×C8—21no—
1275C2×C8—21no—
1276C2×C8—41no—
1277C2×C8—42no—
1278C2×C8—42no—
1279C2×C8—42no—
1280C2×C8—81no—
1281C2×C8—81no—
1282C2×C8—81no—
1283C2×C8C22×D411yescharacteristic
1284C2×C8C22×D411yescharacteristic
1285C2×C8C22×D411yescharacteristic
1286C2×C8C22×D411yescharacteristic
1287C2×C8C22×D411yescharacteristic
1288C2×C8C22×D411yescharacteristic
1289C2×C8C22×D411yescharacteristic
1290C2×C8C22×D411yescharacteristic
1291C4⋊C4—21no—
1292C4⋊C4—21no—
1293C4⋊C4—21no—
1294C4⋊C4—21no—
1295C4⋊C4—21no—
1296C4⋊C4—21no—
1297C4⋊C4—21no—
1298C4⋊C4—21no—
1299C4⋊C4—21no—
1300C4⋊C4—21no—
1301C4⋊C4—21no—
1302C4⋊C4—21no—
1303C4⋊C4—21no—
1304C4⋊C4—21no—
1305C4⋊C4—21no—
1306C4⋊C4—21no—
1307C4⋊C4—21no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4C22×D411yescharacteristic
1327C4⋊C4C22×D411yescharacteristic
1328C4⋊C4C22×D411yescharacteristic
1329C4⋊C4C22×D411yescharacteristic
1330C4⋊C4C22×D411yescharacteristic
1331C4⋊C4C22×D411yescharacteristic
1332C4⋊C4C22×D411yescharacteristic
1333C4⋊C4C22×D411yescharacteristic
1334C22⋊C4—21no—
1335C22⋊C4—21no—
1336C22⋊C4—21no—
1337C22⋊C4—21no—
1338C22⋊C4—21no—
1339C22⋊C4—21no—
1340C22⋊C4—21no—
1341C22⋊C4—21no—
1342C22⋊C4—21no—
1343C22⋊C4—21no—
1344C22⋊C4—21no—
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—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C42—21no—
1367C42—21no—
1368C42—21no—
1369C42—21no—
1370C42—21no—
1371C42—21no—
1372C42—21no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42C22×D411yescharacteristic
1377C42C22×D411yescharacteristic
1378C42H(5,𝔽2)11yescharacteristic
1379C42C2511yescharacteristic
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—42no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—81no—
1390C23—81no—
1391C23—82no—
1392C23—82no—
1393C23—82no—
1394C23—82no—
1395C23—161no—
1396C23—161no—
1397C23—161no—
1398C23—161no—
1399C23—161no—
1400C23D4211yescharacteristic
1401Q8—21no—
1402Q8—21no—
1403Q8—21no—
1404Q8—21no—
1405Q8—42no—
1406Q8—42no—
1407Q8—41no—
1408Q8—41no—
1409Q8—41no—
1410Q8—41no—
1411Q8—41no—
1412Q8—41no—
1413Q8—41no—
1414Q8—41no—
1415Q8—82no—
1416Q8—82no—
1417Q8—82no—
1418Q8—81no—
1419Q8—82no—
1420Q8—161no—
1421Q8C2×AGL(1,ℤ/8)12yes—
1422Q8#57712yescomplemented
1423D4—24no—
1424D4—21no—
1425D4—21no—
1426D4—21no—
1427D4—21no—
1428D4—21no—
1429D4—21no—
1430D4—21no—
1431D4—21no—
1432D4—42no—
1433D4—42no—
1434D4—42no—
1435D4—42no—
1436D4—41no—
1437D4—41no—
1438D4—41no—
1439D4—41no—
1440D4—41no—
1441D4—41no—
1442D4—41no—
1443D4—41no—
1444D4—41no—
1445D4—41no—
1446D4—41no—
1447D4—41no—
1448D4—81no—
1449D4—82no—
1450D4—82no—
1451D4—81no—
1452D4—81no—
1453D4—81no—
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—
1470D4C2×AGL(1,ℤ/8)12yes—
1471D4#57712yescomplemented
1472C2×C4—24no—
1473C2×C4—21no—
1474C2×C4—21no—
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—41no—
1489C2×C4—42no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—41no—
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—81no—
1506C2×C4—81no—
1507C2×C4—81no—
1508C2×C4—82no—
1509C2×C4—82no—
1510C2×C4—82no—
1511C2×C4—82no—
1512C2×C4—82no—
1513C2×C4—82no—
1514C2×C4—82no—
1515C2×C4—82no—
1516C2×C4—81no—
1517C2×C4—81no—
1518C2×C4—82no—
1519C2×C4—82no—
1520C2×C4—82no—
1521C2×C4—82no—
1522C2×C4—82no—
1523C2×C4—161no—
1524C2×C4D4211yescharacteristic
1525C2×C4D4211yescharacteristic
1526C2×C4D4211yescharacteristic
1527C2×C4C23×D411yescharacteristic
1528C2×C4C23×D411yescharacteristic
1529C2×C4C2×H(5,𝔽2)11yescharacteristic
1530C8—22no—
1531C8—21no—
1532C8—21no—
1533C8—21no—
1534C8—21no—
1535C8—21no—
1536C8—21no—
1537C8—21no—
1538C8—41no—
1539C8—41no—
1540C8—41no—
1541C8—41no—
1542C8—41no—
1543C8—41no—
1544C8—41no—
1545C8—41no—
1546C8—41no—
1547C8C2×AGL(1,ℤ/8)12yes—
1548C22—21no—
1549C22—22no—
1550C22—21no—
1551C22—22no—
1552C22—21no—
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—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—81no—
1573C22—81no—
1574C22—81no—
1575C22—162no—
1576C22—164no—
1577C22—322no—
1578C22—322no—
1579C22C2×D4211yescharacteristic
1580C4—21no—
1581C4—22no—
1582C4—21no—
1583C4—22no—
1584C4—21no—
1585C4—21no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4C22×AGL(1,ℤ/8)11yescharacteristic
1601C4C2×#57711yescharacteristic
1602C4C2×#57711yescharacteristic
1603C4#358511yescharacteristic
1604C2—41no—
1605C2—42no—
1606C2—42no—
1607C2—81no—
1608C2—81no—
1609C2—81no—
1610C2—161no—
1611C2—161no—
1612C2—161no—
1613C2#6105011yescharacteristic
1614C2D4×AGL(1,ℤ/8)11yescharacteristic
1615C2#6110511yescharacteristic
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. #61840C2semidirect
2. #61598C2semidirect
3. SD16×#41C2semidirect
4. #61085C2semidirect
5. #20085C2semidirect
6. #20084C2semidirect
7. #20072C2semidirect
8. #20045C2semidirect
9. #20031C2semidirect
10. #20030C2semidirect
11. #20025C2semidirect
12. #20024C2semidirect
13. #19981C2semidirect
14. SD162C2semidirect
15. #19970C2semidirect
16. D8×SD16C2semidirect
17. #19922C2semidirect
18. #19915C2semidirect
19. #19892C2semidirect
20. #19890C2semidirect
21. #19641C2semidirect
22. #19473C2semidirect
23. #19467C2semidirect
24. #19328C2semidirect
25. #19269C2semidirect
26. #18610C2semidirect
27. #18599C2semidirect
28. #18556C2semidirect
29. #18554C2semidirect
30. #18056C2semidirect
31. #17912C2semidirect
33. #3497C22semidirect
35. Q8×#41C22semidirect
37. #3392C22semidirect
39. #3386C22semidirect
41. #3384C22semidirect
42. Q8×SD16C22semidirect
43. Q8×SD16C22semidirect
44. Q8×D8C22semidirect
46. #3368C22semidirect
48. #3366C22semidirect
49. #3362C22semidirect
50. #3362C22semidirect
51. #3359C22semidirect
52. #3358C22semidirect
54. #3335C22semidirect
61. #3298C22semidirect
63. #3295C22semidirect
66. #3284C22semidirect
72. D4×SD16C22semidirect
73. D4×SD16C22semidirect
76. #3276C22semidirect
81. #3274C22semidirect
86. #3235C22semidirect
88. #3228C22semidirect
93. #3184C22semidirect
94. #3182C22semidirect
96. #3167C22semidirect
97. #3147C22semidirect
100. #3115C22semidirect
104. #3103C22semidirect
108. #3037C22semidirect
114. #2984C22semidirect
116. C8×#41C22semidirect
119. #2931C22semidirect
120. #1723C22semidirect
121. #1721C22semidirect
122. #1720C22semidirect
123. #1717C22semidirect
124. #1708C22semidirect
125. #1706C22semidirect
126. #1706C22semidirect
127. #1705C22semidirect
128. #1702C22semidirect
129. #1701C22semidirect
130. #1700C22semidirect
131. #1699C22semidirect
132. #1699C22semidirect
133. #1697C22semidirect
134. #1697C22semidirect
135. #1697C22semidirect
136. #1693C22semidirect
137. #1691C22semidirect
138. #1688C22semidirect
139. #1686C22semidirect
140. #1682C22semidirect
141. #1681C22semidirect
142. #1680C22semidirect
143. #1677C22semidirect
144. #1673C22semidirect
145. #1671C22semidirect
146. #1671C22semidirect
147. #1671C22semidirect
148. #1670C22semidirect
149. #1669C22semidirect
150. #1668C22semidirect
151. #1668C22semidirect
152. #1667C22semidirect
153. #1666C22semidirect
154. #1666C22semidirect
155. #1666C22semidirect
156. #1665C22semidirect
157. #1665C22semidirect
158. #1665C22semidirect
159. #1665C22semidirect
160. #1654C22semidirect
161. #1651C22semidirect
162. #1651C22semidirect
163. #1651C22semidirect
164. #1649C22semidirect
165. #1648C22semidirect
167. #1647C22semidirect
168. #1645C22semidirect
169. #1644C22semidirect
170. #1642C22semidirect
171. #1642C22semidirect
172. #1642C22semidirect
174. #1639C22semidirect
175. #1639C22semidirect
177. #1635C22semidirect
179. #1629C22semidirect
180. #1627C22semidirect
181. #1627C22semidirect
182. #1627C22semidirect
183. #1627C22semidirect
184. #1626C22semidirect
185. #1625C22semidirect
186. #1623C22semidirect
187. #1622C22semidirect
188. #1621C22semidirect
189. #1621C22semidirect
190. #1621C22semidirect
191. #1619C22semidirect
192. #1590C22semidirect
193. #1590C22semidirect
194. #1588C22semidirect
195. #1588C22semidirect
196. #1588C22semidirect
197. #1588C22semidirect
198. #1586C22semidirect
199. #1586C22semidirect
200. #1585C22semidirect
201. #1585C22semidirect
202. C8×SD16C22semidirect
203. C8×SD16C22semidirect
204. C8×SD16C22semidirect
205. C8×SD16C22semidirect
206. C8×D8C22semidirect
207. C8×D8C22semidirect
208. #1574C22semidirect
209. #1568C22semidirect
210. #1559C22semidirect
211. #1557C22semidirect
212. #1553C22semidirect
213. #1553C22semidirect
214. #1491C22semidirect
216. #1489C22semidirect
217. #1484C22semidirect
218. C8×M16C22semidirect
1245. SD16AGL(1,ℤ/8)semidirect
1422. Q8#577semidirect
1471. D4#577semidirect

Maximal subgroups

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

subgroupindex
#618402
#615982
SD16×#412
#610852
#200852
#200842
#200722
#200452
#200312
#200302
#200252
#200242
#199812
SD1622
#199702
D8×SD162
#199222
#199152
#198922
#198902
#196412
#194732
#194672
#193282
#192692
#186102
#185992
#185562
#185542
#180562
#179122