Finite Group Databasebeta

← #6811549

Subgroups — #6811549

Order 512.

2326 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3265C211yesmaximal, characteristic, complemented
2C2×#3179C211yesmaximal, characteristic, complemented
3#42805C211yesmaximal, characteristic, complemented
4#42430C211yesmaximal, characteristic, complemented
5#33187C211yesmaximal, characteristic, complemented
6#30532C211yesmaximal, characteristic, complemented
7#30527C211yesmaximal, characteristic, complemented
8#30526C211yesmaximal, characteristic, complemented
9#30519C211yesmaximal, characteristic, complemented
10#30516C211yesmaximal, characteristic, complemented
11#30515C211yesmaximal, characteristic, complemented
12#30511C211yesmaximal, characteristic, complemented
13#30509C211yesmaximal, characteristic, complemented
14#29675C211yesmaximal, characteristic, complemented
15#29669C211yesmaximal, characteristic, complemented
16#28493C211yesmaximal, characteristic, complemented
17#28485C211yesmaximal, characteristic, complemented
18#28475C211yesmaximal, characteristic, complemented
19#28237C211yesmaximal, characteristic, complemented
20#27798C211yesmaximal, characteristic, complemented
21#27795C211yesmaximal, characteristic, complemented
22#25794C211yesmaximal, characteristic, complemented
23#25783C211yesmaximal, characteristic, complemented
24#24634C211yesmaximal, characteristic, complemented
25#24628C211yesmaximal, characteristic, complemented
26#24275C211yesmaximal, characteristic, complemented
27#24264C211yesmaximal, characteristic, complemented
28#24244C211yesmaximal, characteristic, complemented
29#24236C211yesmaximal, characteristic, complemented
30#22819C211yesmaximal, characteristic, complemented
31#21495C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C23×SD16C2211yescharacteristic
34C2×#548C2211yescharacteristic
35C2×D42C2211yescharacteristic
36C2×#542C2211yescharacteristic, complemented
37C2×#540C2211yescharacteristic
38#3265—28no—
39#3179—28no—
40C2×#501C2211yescharacteristic, complemented
41C2×#496C2211yescharacteristic
42C2×#496C2211yescharacteristic
43C2×#496C2211yescharacteristic, complemented
44C2×#493C2211yescharacteristic, complemented
45C2×#488C2211yescharacteristic, complemented
46C2×#486C2211yescharacteristic
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic, complemented
49C2×#469C2211yescharacteristic, complemented
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#468C2211yescharacteristic, complemented
53C2×#466C2211yescharacteristic
54C2×#466C2211yescharacteristic, complemented
55C2×#466C2211yescharacteristic, complemented
56C2×#466C2211yescharacteristic, complemented
57C2×#465C2211yescharacteristic
58C2×#465C2211yescharacteristic, complemented
59C2×#460C2211yescharacteristic
60C2×#463C2211yescharacteristic
61C2×#463C2211yescharacteristic, complemented
62C2×#459C2211yescharacteristic
63C2×#449C2211yescharacteristic
64C2×#449C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic
66C2×#448C2211yescharacteristic, complemented
67C2×#450C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#442C2211yescharacteristic, complemented
72C2×#440C2211yescharacteristic
73C2×C4×SD16C2211yescharacteristic, complemented
74C2×C4×D8C2211yescharacteristic
75C2×#435C2211yescharacteristic
76C2×#435C2211yescharacteristic, complemented
77C2×C8×D4C2211yescharacteristic, complemented
78C2×#405C2211yescharacteristic, complemented
79#2819—21no—
80#2815—21no—
81#2696—21no—
82#2692—21no—
83#2678—21no—
84#2678—21no—
85#2676—21no—
86#2673—21no—
87#2669—21no—
88#2669—21no—
89#2662—21no—
90#2661—21no—
91#2636—21no—
92#2620C2211yescharacteristic, complemented
93#2619C2211yescharacteristic
94#2613—21no—
95#2544—21no—
96#2544C2211yescharacteristic, complemented
97#2541C2211yescharacteristic
98#2541C2211yescharacteristic
99#2541C2211yescharacteristic
100#2541C2211yescharacteristic, complemented
101#2540C2211yescharacteristic, complemented
102#2537C2211yescharacteristic
103#2535C2211yescharacteristic
104#2492C2211yescharacteristic, complemented
105#2491C2211yescharacteristic, complemented
106#2490C2211yescharacteristic
107#2490C2211yescharacteristic
108#2436C2211yescharacteristic, complemented
109#2433—21no—
110#2433C2211yescharacteristic
111#2433C2211yescharacteristic
112#2431C2211yescharacteristic, complemented
113#2409C2211yescharacteristic, complemented
114#2408C2211yescharacteristic
115#2408C2211yescharacteristic
116#2407C2211yescharacteristic, complemented
117#2392C2211yescharacteristic
118#2357C2211yescharacteristic
119#2355C2211yescharacteristic, complemented
120#2055C2211yescharacteristic
121#2055C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic
124#2035C2211yescharacteristic, complemented
125#2034C2211yescharacteristic, complemented
126#2034C2211yescharacteristic, complemented
127#2034C2211yescharacteristic, complemented
128#2033C2211yescharacteristic
129#2033C2211yescharacteristic
130#2033C2211yescharacteristic, complemented
131#2033C2211yescharacteristic, complemented
132#2026C2211yescharacteristic, complemented
133#2025C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2023C2211yescharacteristic, complemented
136#2014C2211yescharacteristic
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2014C2211yescharacteristic, complemented
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2011C2211yescharacteristic
145#2011C2211yescharacteristic
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2000C2211yescharacteristic
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic
155#1999C2211yescharacteristic
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1999C2211yescharacteristic, complemented
159#1999C2211yescharacteristic, complemented
160#1983C2211yescharacteristic, complemented
161#1982C2211yescharacteristic, complemented
162#1982C2211yescharacteristic, complemented
163#1982C2211yescharacteristic, complemented
164#1973C2211yescharacteristic
165#1973C2211yescharacteristic, complemented
166#1972C2211yescharacteristic, complemented
167#1972C2211yescharacteristic, complemented
168#1970C2211yescharacteristic, complemented
169#1968C2211yescharacteristic
170#1968C2211yescharacteristic, complemented
171#1968C2211yescharacteristic, complemented
172#1958C2211yescharacteristic, complemented
173#1957C2211yescharacteristic
174#1954C2211yescharacteristic
175#1939C2211yescharacteristic, complemented
176#1928C2211yescharacteristic, complemented
177#1928C2211yescharacteristic, complemented
178#1927C2211yescharacteristic, complemented
179#1926C2211yescharacteristic
180#1926C2211yescharacteristic, complemented
181#1926C2211yescharacteristic, complemented
182#1925C2211yescharacteristic
183#1925C2211yescharacteristic, complemented
184#1923C2211yescharacteristic, complemented
185#1923C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1870C2211yescharacteristic, complemented
188#1847C2211yescharacteristic, complemented
189#1809C2211yescharacteristic, complemented
190#1807C2211yescharacteristic, complemented
191#1805C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1786C2211yescharacteristic
199#1786C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201C4×#107C2211yescharacteristic, complemented
202#1771C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1752C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×SD16—24no—
214C22×SD16—42no—
215C22×SD16—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×D8C2311yescharacteristic
229C22×D8C2311yescharacteristic
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×M16C2311yescharacteristic
233C22×M16C2311yescharacteristic
234C23×C8C2311yescharacteristic
235C23×C8C2311yescharacteristic
236#548—24no—
237#548—42no—
238D42—24no—
239D42—42no—
240#542—24no—
241#542—42no—
242#540—24no—
243#540—42no—
244C2×C4⋊Q8C2311yescharacteristic
245C2×#127—21no—
246C2×#127—21no—
247C2×#127—21no—
248C2×#127C2311yescharacteristic
249C2×#127C2311yescharacteristic
250C2×#127C2311yescharacteristic
251C2×#127C2311yescharacteristic
252C2×#127C2311yescharacteristic
253C2×#126—21no—
254C2×#125C2311yescharacteristic
255C2×#124—21no—
256C2×#124—21no—
257C2×#124—21no—
258C2×#124C2311yescharacteristic
259C2×#124C2311yescharacteristic
260C2×#124C2311yescharacteristic
261C2×#123—21no—
262C2×#123—21no—
263C2×#123—21no—
264C2×C22⋊Q8—21no—
265C2×C22⋊Q8—21no—
266C2×C22⋊Q8C2311yescharacteristic
267C2×C22⋊Q8C2311yescharacteristic
268C2×C22⋊Q8C2311yescharacteristic
269C2×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×C4×Q8C2311yescharacteristic
298C2×C4×D4—21no—
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×#117C2311yescharacteristic
306#501—24no—
307#496—24no—
308#496—24no—
309#496—42no—
310#493—42no—
311#488—24no—
312#486—24no—
313#469—24no—
314#469—42no—
315#469—42no—
316#468—24no—
317#468—24no—
318#468—42no—
319#466—24no—
320#466—24no—
321#466—42no—
322#466—42no—
323#465—24no—
324#465—42no—
325#463—24no—
326#463—42no—
327#460—24no—
328#459—42no—
329#450—24no—
330#449—24no—
331#449—42no—
332#448—24no—
333#448—42no—
334#447—24no—
335#447—42no—
336#447—42no—
337#442—24no—
338#440D418yescomplemented
339C4×SD16—24no—
340C4×D8—24no—
341#435—24no—
342#435—42no—
343C8×D4—42no—
344C2×#107C2311yescharacteristic
345C2×#107C2311yescharacteristic
346C2×#107C2311yescharacteristic
347C2×#107C2311yescharacteristic
348C2×#106C2311yescharacteristic
349C2×#106C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353C2×C4⋊C8C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#102C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396#405—24no—
397C2×#97C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×#97C2311yescharacteristic
400C2×C4×C8C2311yescharacteristic
401C2×C4×C8C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403#400—21no—
404#399—21no—
405#398D411yescharacteristic
406#397—21no—
407#397—21no—
408#397—21no—
409#397D411yescharacteristic
410#396—21no—
411#396—21no—
412#396D411yescharacteristic
413#396D411yescharacteristic
414#395—21no—
415#394—21no—
416#394—21no—
417#394—21no—
418#394—21no—
419#394—21no—
420#394—21no—
421#394—21no—
422#394—21no—
423#394—21no—
424#394—21no—
425#394—21no—
426#394—21no—
427#394—21no—
428#394—21no—
429#394D411yescharacteristic
430#394D411yescharacteristic
431#394D411yescharacteristic
432#393—21no—
433#393—21no—
434#393—21no—
435#393—21no—
436#393—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#392—21no—
450#392—21no—
451#392—21no—
452#392—21no—
453#392—21no—
454#392—21no—
455#392—21no—
456#392—21no—
457#392—21no—
458#392D411yescharacteristic
459#391—21no—
460#391C2311yescharacteristic
461#391C2311yescharacteristic
462#391C2311yescharacteristic
463#391C2311yescharacteristic
464#390—21no—
465#390—21no—
466#390—21no—
467#390—21no—
468#390—21no—
469#390—21no—
470#390—21no—
471#390C2311yescharacteristic
472#390C2311yescharacteristic
473#390C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2311yescharacteristic
476#390C2311yescharacteristic
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#388—21no—
480#388—21no—
481#388—21no—
482#388—21no—
483#388—21no—
484#388—21no—
485#387—21no—
486#387—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#386—21no—
494#386—21no—
495#386—21no—
496#386—21no—
497#385—21no—
498#385—21no—
499#384C2311yescharacteristic
500#382—21no—
501#382C2311yescharacteristic
502#381—21no—
503#380—21no—
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#379—21no—
509#379—21no—
510C4×C4⋊C4—21no—
511C4×C4⋊C4C2311yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
513C4×C4⋊C4C2311yescharacteristic
514C4×C4⋊C4C2311yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
516C4×C22⋊C4—21no—
517C4×C22⋊C4C2311yescharacteristic
518C4×C22⋊C4C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533C25—21no—
534C25—21no—
535C2×#41—22no—
536C2×#41—41no—
537C2×#41—41no—
538C2×#41—41no—
539C2×#41—41no—
540C2×#41—41no—
541C22×Q8—21no—
542C22×Q8—21no—
543C22×Q8—22no—
544C22×Q8—41no—
545C22×Q8—41no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8C2411yescharacteristic
550C22×Q8C2411yescharacteristic
551C22×D4—22no—
552C22×D4—22no—
553C22×D4—21no—
554C22×D4—21no—
555C22×D4—21no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—21no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—21no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—44no—
590C22×D4—82no—
591C22×D4—82no—
592C22×D4C2×D411yescharacteristic
593C22×D4C2×D411yescharacteristic
594C22×D4C2×D411yescharacteristic
595C22×D4C2411yescharacteristic
596C22×D4C2411yescharacteristic
597C22×D4C2411yescharacteristic
598C22×D4C2411yescharacteristic
599C22×D4C2411yescharacteristic
600C22×D4C2411yescharacteristic
601C23×C4—21no—
602C23×C4—21no—
603C23×C4—21no—
604C23×C4—21no—
605C23×C4—21no—
606C23×C4C2411yescharacteristic
607C23×C4C2411yescharacteristic
608C23×C4C2411yescharacteristic
609AGL(1,ℤ/8)—416no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—22no—
618C2×SD16—22no—
619C2×SD16—22no—
620C2×SD16—22no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16—41no—
625C2×SD16—41no—
626C2×SD16—41no—
627C2×SD16—41no—
628C2×SD16—41no—
629C2×SD16—41no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—416no—
634C2×SD16C2×D414yes—
635C2×D8—22no—
636C2×D8—22no—
637C2×D8—22no—
638C2×D8—22no—
639C2×D8—22no—
640C2×D8—22no—
641C2×D8—22no—
642C2×D8—22no—
643C2×D8—22no—
644C2×D8—22no—
645C2×D8—41no—
646C2×D8—41no—
647C2×D8—41no—
648C2×D8—41no—
649C2×D8—41no—
650C2×D8—41no—
651C2×D8—41no—
652C2×D8—41no—
653C2×D8—41no—
654C2×D8—41no—
655C2×D8—41no—
656C2×D8—41no—
657C2×D8—41no—
658C2×D8—41no—
659C2×M16—22no—
660C2×M16—22no—
661C2×M16—22no—
662C2×M16—22no—
663C2×M16—22no—
664C2×M16—41no—
665C22×C8—22no—
666C22×C8—22no—
667C22×C8—22no—
668C22×C8—22no—
669C22×C8—22no—
670C22×C8—22no—
671C22×C8C2411yescharacteristic
672C22×C8C2411yescharacteristic
673C22×C8C2411yescharacteristic
674C22×C8C2411yescharacteristic
675C22×C8C2411yescharacteristic
676C22×C8C2411yescharacteristic
677C22×C8C2411yescharacteristic
678C22×C8C2411yescharacteristic
679C4⋊Q8—22no—
680C4⋊Q8—41no—
681#127—22no—
682#127—22no—
683#127—22no—
684#127—41no—
685#127—41no—
686#127—41no—
687#127—41no—
688#127—41no—
689#127—41no—
690#127—41no—
691#127—82no—
692#127—82no—
693#127—82no—
694#126—44no—
695#125—22no—
696#125—41no—
697#124—22no—
698#124—22no—
699#124—22no—
700#124—44no—
701#124—44no—
702#124—41no—
703#124—41no—
704#124—41no—
705#124—82no—
706#123—44no—
707#123—44no—
708#123—44no—
709C22⋊Q8—22no—
710C22⋊Q8—22no—
711C22⋊Q8—44no—
712C22⋊Q8—44no—
713C22⋊Q8—41no—
714C22⋊Q8—41no—
715C22⋊Q8—41no—
716C22⋊Q8—41no—
717#121—22no—
718#121—22no—
719#121—22no—
720#121—22no—
721#121—22no—
722#121—22no—
723#121—44no—
724#121—44no—
725#121—41no—
726#121—41no—
727#121—41no—
728#121—41no—
729#121—41no—
730#121—41no—
731#121—44no—
732#121—44no—
733#121—41no—
734#121—41no—
735#121—41no—
736#121—41no—
737#121—41no—
738#121—41no—
739#121—41no—
740#121—41no—
741#121—41no—
742#121—41no—
743#121—41no—
744#121—41no—
745#121—41no—
746#121—41no—
747#121—82no—
748#121—82no—
749#121—82no—
750#120—44no—
751#120—44no—
752#120—82no—
753#120—82no—
754#120—82no—
755#120—82no—
756#120—82no—
757#120—82no—
758C4×Q8—22no—
759C4×Q8C2×D414yes—
760C4×D4—22no—
761C4×D4—22no—
762C4×D4—22no—
763C4×D4—22no—
764C4×D4—22no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—44no—
768C4×D4—41no—
769C4×D4—41no—
770C4×D4—41no—
771C4×D4—41no—
772C4×D4C2×D414yes—
773#117—22no—
774#117—22no—
775C2×C4⋊C4—21no—
776C2×C4⋊C4—21no—
777C2×C4⋊C4—21no—
778C2×C4⋊C4—21no—
779C2×C4⋊C4—21no—
780C2×C4⋊C4—21no—
781C2×C4⋊C4—21no—
782C2×C4⋊C4—21no—
783C2×C4⋊C4—21no—
784C2×C4⋊C4C2×D411yescharacteristic
785C2×C4⋊C4C2×D411yescharacteristic
786C2×C4⋊C4C2×D411yescharacteristic
787C2×C4⋊C4C2×D411yescharacteristic
788C2×C4⋊C4C2×D411yescharacteristic
789C2×C4⋊C4C2×D411yescharacteristic
790C2×C4⋊C4C2×D411yescharacteristic
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2411yescharacteristic
793C2×C4⋊C4C2411yescharacteristic
794C2×C4⋊C4C2411yescharacteristic
795C2×C4⋊C4C2411yescharacteristic
796C2×C4⋊C4C2411yescharacteristic
797C2×C4⋊C4C2411yescharacteristic
798C2×C4⋊C4C2411yescharacteristic
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4C2×D411yescharacteristic
845C2×C22⋊C4C2×D411yescharacteristic
846C2×C22⋊C4C2×D411yescharacteristic
847C2×C22⋊C4C2×D411yescharacteristic
848C2×C22⋊C4C2×D411yescharacteristic
849C2×C22⋊C4C2×D411yescharacteristic
850C2×C22⋊C4C2×D411yescharacteristic
851C2×C22⋊C4C2×D411yescharacteristic
852C2×C22⋊C4C2×D411yescharacteristic
853C2×C22⋊C4C2×D411yescharacteristic
854C2×C22⋊C4C2×D411yescharacteristic
855C2×C22⋊C4C2×D411yescharacteristic
856C2×C42—21no—
857C2×C42—21no—
858C2×C42—21no—
859C2×C42—21no—
860C2×C42—21no—
861C2×C42C2411yescharacteristic
862C2×C42C2411yescharacteristic
863C2×C42C2411yescharacteristic
864C2×C42C2411yescharacteristic
865#107—22no—
866#107—22no—
867#107—41no—
868#107C2×D414yes—
869#106—22no—
870#106—22no—
871#106—22no—
872#106—41no—
873C4⋊C8—22no—
874C4⋊C8—22no—
875C4⋊C8—41no—
876C4⋊C8—41no—
877#103—22no—
878#103—22no—
879#103—22no—
880#103—41no—
881#103—41no—
882#103—41no—
883#103—41no—
884#103C2×D414yes—
885#102—22no—
886#102—22no—
887#102—22no—
888#102—22no—
889#102—22no—
890#102—22no—
891#102—22no—
892#102—22no—
893#102—22no—
894#102—22no—
895#102—22no—
896#102—41no—
897#102—41no—
898#102—41no—
899#102—41no—
900#102—41no—
901#102—41no—
902#102—41no—
903#102—41no—
904#102—41no—
905#102—41no—
906#102—41no—
907#102—41no—
908#102C2×D414yes—
909C22⋊C8—22no—
910C22⋊C8—22no—
911C22⋊C8—22no—
912C22⋊C8—22no—
913C22⋊C8—41no—
914C22⋊C8—41no—
915C22⋊C8—41no—
916C22⋊C8—41no—
917#97—22no—
918#97—22no—
919#97C2×D414yes—
920C4×C8—22no—
921C4×C8—22no—
922C4×C8—22no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95—21no—
927#95—21no—
928#95—21no—
929#95—21no—
930#95—21no—
931#95—21no—
932#95—21no—
933#95—21no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95C2×D411yescharacteristic
942#95C2×D411yescharacteristic
943#95C2×D411yescharacteristic
944#95C2×D411yescharacteristic
945#95C2×D411yescharacteristic
946#95C2×D411yescharacteristic
947C24—21no—
948C24—21no—
949C24—21no—
950C24—21no—
951C24—21no—
952C24—21no—
953C24—42no—
954C24—42no—
955C24—42no—
956C24—42no—
957C24—81no—
958C24—81no—
959C24—81no—
960C24—81no—
961C24—81no—
962C24—81no—
963C24—81no—
964C24—81no—
965C24—81no—
966C24—81no—
967C24C22×D411yescharacteristic
968C24C22×D411yescharacteristic
969C24C22×D411yescharacteristic
970#41—44no—
971#41—82no—
972#41—82no—
973#41—82no—
974C2×Q8—21no—
975C2×Q8—21no—
976C2×Q8—21no—
977C2×Q8—21no—
978C2×Q8—21no—
979C2×Q8—21no—
980C2×Q8—21no—
981C2×Q8—21no—
982C2×Q8—21no—
983C2×Q8—21no—
984C2×Q8—21no—
985C2×Q8—42no—
986C2×Q8—42no—
987C2×Q8—44no—
988C2×Q8—81no—
989C2×Q8—81no—
990C2×Q8—81no—
991C2×Q8—81no—
992C2×Q8—82no—
993C2×Q8—82no—
994C2×Q8—82no—
995C2×Q8C22×D412yes—
996C2×D4—22no—
997C2×D4—22no—
998C2×D4—22no—
999C2×D4—22no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—21no—
1013C2×D4—21no—
1014C2×D4—21no—
1015C2×D4—21no—
1016C2×D4—21no—
1017C2×D4—21no—
1018C2×D4—21no—
1019C2×D4—21no—
1020C2×D4—21no—
1021C2×D4—21no—
1022C2×D4—21no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—41no—
1036C2×D4—41no—
1037C2×D4—41no—
1038C2×D4—41no—
1039C2×D4—41no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—42no—
1043C2×D4—42no—
1044C2×D4—42no—
1045C2×D4—42no—
1046C2×D4—42no—
1047C2×D4—42no—
1048C2×D4—42no—
1049C2×D4—42no—
1050C2×D4—42no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—42no—
1054C2×D4—42no—
1055C2×D4—42no—
1056C2×D4—42no—
1057C2×D4—42no—
1058C2×D4—42no—
1059C2×D4—42no—
1060C2×D4—42no—
1061C2×D4—42no—
1062C2×D4—42no—
1063C2×D4—42no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4—81no—
1081C2×D4—81no—
1082C2×D4—81no—
1083C2×D4—81no—
1084C2×D4—81no—
1085C2×D4—81no—
1086C2×D4—81no—
1087C2×D4—81no—
1088C2×D4—81no—
1089C2×D4—81no—
1090C2×D4—81no—
1091C2×D4—82no—
1092C2×D4—82no—
1093C2×D4—82no—
1094C2×D4—82no—
1095C2×D4—82no—
1096C2×D4—82no—
1097C2×D4—81no—
1098C2×D4—81no—
1099C2×D4—81no—
1100C2×D4—81no—
1101C2×D4—81no—
1102C2×D4—81no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—81no—
1126C2×D4—816no—
1127C2×D4C22×D412yes—
1128C22×C4—21no—
1129C22×C4—21no—
1130C22×C4—21no—
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—21no—
1140C22×C4—21no—
1141C22×C4—21no—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—21no—
1147C22×C4—21no—
1148C22×C4—21no—
1149C22×C4—24no—
1150C22×C4—21no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—42no—
1158C22×C4—42no—
1159C22×C4—42no—
1160C22×C4—42no—
1161C22×C4—81no—
1162C22×C4—81no—
1163C22×C4—81no—
1164C22×C4—81no—
1165C22×C4—81no—
1166C22×C4—81no—
1167C22×C4—81no—
1168C22×C4—81no—
1169C22×C4—81no—
1170C22×C4—81no—
1171C22×C4C22×D411yescharacteristic
1172C22×C4C22×D411yescharacteristic
1173C22×C4C22×D411yescharacteristic
1174C22×C4C22×D411yescharacteristic
1175C22×C4C22×D411yescharacteristic
1176C22×C4C22×D411yescharacteristic
1177C22×C4C22×D411yescharacteristic
1178C22×C4C22×D411yescharacteristic
1179C22×C4C22×D411yescharacteristic
1180C22×C4C22×D411yescharacteristic
1181C22×C4C22×D411yescharacteristic
1182C22×C4C2511yescharacteristic
1183SD16—28no—
1184SD16—44no—
1185SD16—44no—
1186SD16—44no—
1187SD16—44no—
1188SD16—44no—
1189SD16—82no—
1190SD16—82no—
1191D8—44no—
1192D8—44no—
1193D8—44no—
1194D8—44no—
1195D8—82no—
1196D8—82no—
1197D8—82no—
1198D8—82no—
1199M16—44no—
1200M16—44no—
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—21no—
1210C2×C8—21no—
1211C2×C8—21no—
1212C2×C8—21no—
1213C2×C8—21no—
1214C2×C8—21no—
1215C2×C8—21no—
1216C2×C8—21no—
1217C2×C8—21no—
1218C2×C8—21no—
1219C2×C8—21no—
1220C2×C8—44no—
1221C2×C8—44no—
1222C2×C8C22×D412yes—
1223C2×C8C22×D412yes—
1224C2×C8H(5,𝔽2)12yes—
1225C2×C8H(5,𝔽2)12yes—
1226C2×C8H(5,𝔽2)12yes—
1227C4⋊C4—24no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
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—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—42no—
1250C4⋊C4—42no—
1251C4⋊C4—42no—
1252C4⋊C4—42no—
1253C4⋊C4—42no—
1254C4⋊C4—81no—
1255C4⋊C4—81no—
1256C4⋊C4—81no—
1257C4⋊C4C22×D412yes—
1258C4⋊C4C22×D412yes—
1259C22⋊C4—22no—
1260C22⋊C4—24no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—42no—
1273C22⋊C4—42no—
1274C22⋊C4—42no—
1275C22⋊C4—42no—
1276C22⋊C4—42no—
1277C22⋊C4—42no—
1278C22⋊C4—42no—
1279C22⋊C4—42no—
1280C22⋊C4—42no—
1281C22⋊C4—42no—
1282C22⋊C4—42no—
1283C22⋊C4—42no—
1284C22⋊C4—42no—
1285C22⋊C4—42no—
1286C22⋊C4—42no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—42no—
1290C22⋊C4—42no—
1291C22⋊C4—81no—
1292C22⋊C4—81no—
1293C22⋊C4—81no—
1294C22⋊C4—81no—
1295C22⋊C4—81no—
1296C22⋊C4—81no—
1297C22⋊C4—81no—
1298C22⋊C4—81no—
1299C22⋊C4—81no—
1300C22⋊C4—81no—
1301C22⋊C4—81no—
1302C22⋊C4—81no—
1303C22⋊C4—81no—
1304C22⋊C4—81no—
1305C22⋊C4—81no—
1306C22⋊C4—81no—
1307C22⋊C4—81no—
1308C22⋊C4—81no—
1309C22⋊C4—81no—
1310C22⋊C4—81no—
1311C22⋊C4—81no—
1312C22⋊C4—81no—
1313C22⋊C4—81no—
1314C22⋊C4—81no—
1315C22⋊C4—81no—
1316C42—24no—
1317C42—21no—
1318C42—21no—
1319C42—21no—
1320C42—21no—
1321C42—21no—
1322C42—21no—
1323C42—81no—
1324C42—81no—
1325C42—81no—
1326C42—81no—
1327C42C22×D412yes—
1328C42H(5,𝔽2)12yes—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—22no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—41no—
1351C23—41no—
1352C23—41no—
1353C23—41no—
1354C23—41no—
1355C23—41no—
1356C23—41no—
1357C23—41no—
1358C23—41no—
1359C23—41no—
1360C23—41no—
1361C23—41no—
1362C23—41no—
1363C23—41no—
1364C23—41no—
1365C23—41no—
1366C23—41no—
1367C23—41no—
1368C23—41no—
1369C23—41no—
1370C23—41no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—84no—
1392C23—84no—
1393C23—84no—
1394C23—84no—
1395C23—162no—
1396C23—162no—
1397C23—162no—
1398C23—162no—
1399C23—162no—
1400C23—162no—
1401C23—162no—
1402C23—162no—
1403C23—162no—
1404C23—162no—
1405C23#57612yes—
1406C23C23×D411yescharacteristic
1407Q8—22no—
1408Q8—22no—
1409Q8—41no—
1410Q8—41no—
1411Q8—41no—
1412Q8—41no—
1413Q8—41no—
1414Q8—41no—
1415Q8—84no—
1416Q8—162no—
1417D4—22no—
1418D4—22no—
1419D4—44no—
1420D4—44no—
1421D4—41no—
1422D4—41no—
1423D4—41no—
1424D4—41no—
1425D4—41no—
1426D4—41no—
1427D4—41no—
1428D4—41no—
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—84no—
1444D4—84no—
1445D4—84no—
1446D4—82no—
1447D4—84no—
1448D4—84no—
1449D4—84no—
1450D4—84no—
1451D4—162no—
1452D4—162no—
1453D4—162no—
1454D4—162no—
1455D4—162no—
1456D4—162no—
1457D4—162no—
1458D4—162no—
1459D4—162no—
1460D4—162no—
1461D4—162no—
1462D4—162no—
1463D4—162no—
1464D4—162no—
1465D4—162no—
1466D4—162no—
1467D4—162no—
1468D4—162no—
1469D4—162no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
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—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—41no—
1504C2×C4—41no—
1505C2×C4—41no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—41no—
1523C2×C4—41no—
1524C2×C4—41no—
1525C2×C4—41no—
1526C2×C4—41no—
1527C2×C4—41no—
1528C2×C4—41no—
1529C2×C4—41no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—41no—
1533C2×C4—41no—
1534C2×C4—41no—
1535C2×C4—41no—
1536C2×C4—41no—
1537C2×C4—41no—
1538C2×C4—41no—
1539C2×C4—41no—
1540C2×C4—41no—
1541C2×C4—41no—
1542C2×C4—84no—
1543C2×C4—84no—
1544C2×C4—84no—
1545C2×C4—162no—
1546C2×C4—162no—
1547C2×C4D4212yes—
1548C2×C4D4212yes—
1549C2×C4#57712yes—
1550C2×C4C23×D411yescharacteristic
1551C2×C4C2×H(5,𝔽2)11yescharacteristic
1552C2×C4C2×H(5,𝔽2)11yescharacteristic
1553C2×C4C2×H(5,𝔽2)11yescharacteristic
1554C2×C4C2×H(5,𝔽2)11yescharacteristic
1555C2×C4#58511yescharacteristic
1556C8—22no—
1557C8—22no—
1558C8—41no—
1559C8—41no—
1560C8—41no—
1561C8—41no—
1562C8—41no—
1563C8#53514yes—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—42no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—42no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—42no—
1586C22—41no—
1587C22—41no—
1588C22—81no—
1589C22—81no—
1590C22—81no—
1591C22—81no—
1592C22—81no—
1593C22—81no—
1594C22—81no—
1595C22—81no—
1596C22—81no—
1597C22—81no—
1598C22—81no—
1599C22—81no—
1600C22—81no—
1601C22—81no—
1602C22—81no—
1603C22—81no—
1604C22—81no—
1605C22—81no—
1606C22—81no—
1607C22—81no—
1608C22—81no—
1609C22—81no—
1610C22—81no—
1611C22—81no—
1612C22—81no—
1613C22—81no—
1614C22—81no—
1615C22—81no—
1616C22—81no—
1617C22—81no—
1618C22—81no—
1619C22—81no—
1620C22—81no—
1621C22—81no—
1622C22—81no—
1623C22—81no—
1624C22—81no—
1625C22—81no—
1626C22—81no—
1627C22—168no—
1628C22—168no—
1629C22C2×D4211yescharacteristic
1630C22#349611yescharacteristic
1631C22#349811yescharacteristic
1632C22C2×#57611yescharacteristic
1633C22C2×#57711yescharacteristic
1634C22#358511yescharacteristic
1635C22#358511yescharacteristic
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—42no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—42no—
1650C4—81no—
1651C4—81no—
1652C4—81no—
1653C4—81no—
1654C4—81no—
1655C4—81no—
1656C4—81no—
1657C4C2×#53511yescharacteristic
1658C4#348811yescharacteristic
1659C4#354611yescharacteristic
1660C4#354911yescharacteristic
1661C2—42no—
1662C2—81no—
1663C2—81no—
1664C2—82no—
1665C2—161no—
1666C2—161no—
1667C2—161no—
1668C2—161no—
1669C2—161no—
1670C2#3934211yescharacteristic
1671C2#6107211yescharacteristic
1672C2#6109511yescharacteristic
1673C2#6228011yescharacteristic
1674C2#6228611yescharacteristic
1675C2#6245911yescharacteristic
1676C2#6246511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2392 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3265C2semidirect
2. C2×#3179C2semidirect
3. #42805C2semidirect
4. #42430C2semidirect
5. #33187C2semidirect
6. #30532C2semidirect
7. #30527C2semidirect
8. #30526C2semidirect
9. #30519C2semidirect
10. #30516C2semidirect
11. #30515C2semidirect
12. #30511C2semidirect
13. #30509C2semidirect
14. #29675C2semidirect
15. #29669C2semidirect
16. #28493C2semidirect
17. #28485C2semidirect
18. #28475C2semidirect
19. #28237C2semidirect
20. #27798C2semidirect
21. #27795C2semidirect
22. #25794C2semidirect
23. #25783C2semidirect
24. #24634C2semidirect
25. #24628C2semidirect
26. #24275C2semidirect
27. #24264C2semidirect
28. #24244C2semidirect
29. #24236C2semidirect
30. #22819C2semidirect
31. #21495C2semidirect
36. C2×#542C22semidirect
40. C2×#501C22semidirect
43. C2×#496C22semidirect
44. C2×#493C22semidirect
45. C2×#488C22semidirect
48. C2×#469C22semidirect
49. C2×#469C22semidirect
51. C2×#468C22semidirect
52. C2×#468C22semidirect
54. C2×#466C22semidirect
55. C2×#466C22semidirect
56. C2×#466C22semidirect
58. C2×#465C22semidirect
61. C2×#463C22semidirect
64. C2×#449C22semidirect
66. C2×#448C22semidirect
71. C2×#442C22semidirect
73. C2×C4×SD16C22semidirect
76. C2×#435C22semidirect
77. C2×C8×D4C22semidirect
78. C2×#405C22semidirect
92. #2620C22semidirect
96. #2544C22semidirect
100. #2541C22semidirect
101. #2540C22semidirect
104. #2492C22semidirect
105. #2491C22semidirect
108. #2436C22semidirect
112. #2431C22semidirect
113. #2409C22semidirect
116. #2407C22semidirect
119. #2355C22semidirect
121. #2055C22semidirect
122. #2055C22semidirect
124. #2035C22semidirect
125. #2034C22semidirect
126. #2034C22semidirect
127. #2034C22semidirect
130. #2033C22semidirect
131. #2033C22semidirect
132. #2026C22semidirect
133. #2025C22semidirect
134. #2023C22semidirect
135. #2023C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
139. #2014C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1999C22semidirect
159. #1999C22semidirect
160. #1983C22semidirect
161. #1982C22semidirect
162. #1982C22semidirect
163. #1982C22semidirect
165. #1973C22semidirect
166. #1972C22semidirect
167. #1972C22semidirect
168. #1970C22semidirect
170. #1968C22semidirect
171. #1968C22semidirect
172. #1958C22semidirect
175. #1939C22semidirect
176. #1928C22semidirect
177. #1928C22semidirect
178. #1927C22semidirect
180. #1926C22semidirect
181. #1926C22semidirect
183. #1925C22semidirect
184. #1923C22semidirect
185. #1923C22semidirect
186. #1870C22semidirect
187. #1870C22semidirect
188. #1847C22semidirect
189. #1809C22semidirect
190. #1807C22semidirect
191. #1805C22semidirect
192. #1804C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
196. #1788C22semidirect
197. #1787C22semidirect
200. #1776C22semidirect
201. C4×#107C22semidirect
202. #1771C22semidirect
203. #1753C22semidirect
204. #1752C22semidirect
338. #440D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32652
C2×#31792
#428052
#424302
#331872
#305322
#305272
#305262
#305192
#305162
#305152
#305112
#305092
#296752
#296692
#284932
#284852
#284752
#282372
#277982
#277952
#257942
#257832
#246342
#246282
#242752
#242642
#242442
#242362
#228192
#214952