Finite Group Databasebeta

← #6667519

Subgroups — #6667519

Order 512.

2939 conjugacy classes of subgroups.

The subgroup lattice has 1769 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3268C211yesmaximal, characteristic, complemented
2C2×#3002C211yesmaximal, characteristic, complemented
3#39885C211yesmaximal, characteristic, complemented
4#36429C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31064C211yesmaximal, characteristic, complemented
7#31063C211yesmaximal, characteristic, complemented
8#31011C211yesmaximal, characteristic, complemented
9#31000C211yesmaximal, characteristic, complemented
10#30475C211yesmaximal, characteristic, complemented
11#30472C211yesmaximal, characteristic, complemented
12#30422C211yesmaximal, characteristic, complemented
13#30420C211yesmaximal, characteristic, complemented
14#29732C211yesmaximal, characteristic, complemented
15#29600C211yesmaximal, characteristic, complemented
16#28349C211yesmaximal, characteristic, complemented
17#28109C211yesmaximal, characteristic, complemented
18#25175C211yesmaximal, characteristic, complemented
19#25169C211yesmaximal, characteristic, complemented
20#24916C211yesmaximal, characteristic, complemented
21#24914C211yesmaximal, characteristic, complemented
22#24535C211yesmaximal, characteristic, complemented
23#24362C211yesmaximal, characteristic, complemented
24#24258C211yesmaximal, characteristic, complemented
25#24254C211yesmaximal, characteristic, complemented
26#24034C211yesmaximal, characteristic, complemented
27#23869C211yesmaximal, characteristic, complemented
28#23866C211yesmaximal, characteristic, complemented
29#23850C211yesmaximal, characteristic, complemented
30#22441C211yesmaximal, characteristic, complemented
31#22034C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic, complemented
33C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
34C22×#135C2211yescharacteristic
35C22×#135C2211yescharacteristic
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#546C2211yescharacteristic, complemented
40C2×#525C2211yescharacteristic
41#3268—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic, complemented
44C2×#468C2211yescharacteristic, complemented
45C2×#466C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#464C2211yescharacteristic, complemented
48C2×#460C2211yescharacteristic, complemented
49C2×#459C2211yescharacteristic, complemented
50#3002—28no—
51C2×#452C2211yescharacteristic, complemented
52C2×#452C2211yescharacteristic, complemented
53C2×#452C2211yescharacteristic, complemented
54C2×#449C2211yescharacteristic
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic, complemented
61C2×#451C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic
63C2×#448C2211yescharacteristic
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic, complemented
70C2×#441C2211yescharacteristic, complemented
71C2×#441C2211yescharacteristic, complemented
72C2×#440C2211yescharacteristic, complemented
73C2×#435C2211yescharacteristic, complemented
74C2×#416C2211yescharacteristic, complemented
75C2×#416C2211yescharacteristic, complemented
76C22×C22⋊C8C2211yescharacteristic, complemented
77#2847—21no—
78#2847C2211yescharacteristic
79#2847C2211yescharacteristic, complemented
80#2701—21no—
81#2697—21no—
82#2679—21no—
83#2678—21no—
84#2630—21no—
85#2602—21no—
86#2538C2211yescharacteristic
87#2536C2211yescharacteristic, complemented
88#2534—21no—
89#2500C2211yescharacteristic, complemented
90#2485C2211yescharacteristic, complemented
91#2433—21no—
92#2433C2211yescharacteristic, complemented
93#2431—21no—
94#2431—21no—
95#2431C2211yescharacteristic, complemented
96#2431C2211yescharacteristic, complemented
97#2426C2211yescharacteristic
98#2426C2211yescharacteristic, complemented
99#2422C2211yescharacteristic, complemented
100#2420C2211yescharacteristic
101#2408—21no—
102#2408C2211yescharacteristic
103#2408C2211yescharacteristic
104#2408C2211yescharacteristic, complemented
105#2407—21no—
106#2407—21no—
107#2407C2211yescharacteristic
108#2407C2211yescharacteristic
109#2341C2211yescharacteristic, complemented
110#2341C2211yescharacteristic, complemented
111#2341C2211yescharacteristic, complemented
112Q8×C22⋊C4C2211yescharacteristic, complemented
113#2321—21no—
114C4×#120—21no—
115C4×#120C2211yescharacteristic
116#2097C2211yescharacteristic, complemented
117#2093C2211yescharacteristic, complemented
118#2076C2211yescharacteristic, complemented
119#2076C2211yescharacteristic, complemented
120#2073C2211yescharacteristic, complemented
121#2071C2211yescharacteristic, complemented
122#2066C2211yescharacteristic, complemented
123#2065C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2041C2211yescharacteristic, complemented
129#2041C2211yescharacteristic, complemented
130#2036C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic
135#2034C2211yescharacteristic, complemented
136#2034C2211yescharacteristic, complemented
137#2034C2211yescharacteristic, complemented
138#2034C2211yescharacteristic, complemented
139#2034C2211yescharacteristic, complemented
140#2033C2211yescharacteristic, complemented
141#2033C2211yescharacteristic, complemented
142#2015C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2011C2211yescharacteristic, complemented
147#2011C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic, complemented
150#2000C2211yescharacteristic, complemented
151#2000C2211yescharacteristic, complemented
152#1999C2211yescharacteristic
153#1999C2211yescharacteristic
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1973C2211yescharacteristic, complemented
157#1972C2211yescharacteristic, complemented
158#1972C2211yescharacteristic, complemented
159#1972C2211yescharacteristic, complemented
160#1961C2211yescharacteristic, complemented
161#1959C2211yescharacteristic, complemented
162#1955C2211yescharacteristic
163#1955C2211yescharacteristic, complemented
164#1936C2211yescharacteristic, complemented
165#1935C2211yescharacteristic, complemented
166#1924C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1924C2211yescharacteristic, complemented
169#1924C2211yescharacteristic, complemented
170#1895C2211yescharacteristic, complemented
171#1894C2211yescharacteristic, complemented
172#1893C2211yescharacteristic, complemented
173#1893C2211yescharacteristic, complemented
174#1880C2211yescharacteristic, complemented
175#1880C2211yescharacteristic, complemented
176#1880C2211yescharacteristic, complemented
177#1880C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1870C2211yescharacteristic, complemented
186#1869C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1863C2211yescharacteristic, complemented
189#1850C2211yescharacteristic, complemented
190#1825C2211yescharacteristic, complemented
191#1807C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1788C2211yescharacteristic, complemented
195#1788C2211yescharacteristic, complemented
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1788C2211yescharacteristic, complemented
199#1788C2211yescharacteristic, complemented
200#1788C2211yescharacteristic, complemented
201#1787C2211yescharacteristic, complemented
202#1786C2211yescharacteristic, complemented
203#1779C2211yescharacteristic, complemented
204#1752C2211yescharacteristic, complemented
205C22×#41—21no—
206C22×#41—21no—
207C22×#41—24no—
208C22×#41—42no—
209C22×#41—42no—
210C22×#41—42no—
211C22×#41—42no—
212C22×#41—42no—
213C22×#41C2311yescharacteristic
214C22×#41C2311yescharacteristic
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C22×#41C2311yescharacteristic
218C22×#41C2311yescharacteristic
219C23×Q8C2311yescharacteristic
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4—21no—
224C24×C4C2311yescharacteristic
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—42no—
227C2×AGL(1,ℤ/8)—42no—
228C2×#135—24no—
229C2×#135—42no—
230C2×#135—42no—
231C2×#135—42no—
232C2×#135—42no—
233C2×#135D418yescomplemented
234C22×Q16C2311yescharacteristic
235C22×Q16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C23×C8C2311yescharacteristic
251C23×C8C2311yescharacteristic
252#550—24no—
253#550—42no—
254#550—42no—
255#550—42no—
256#548—42no—
257#548—42no—
258#546—24no—
259#546—42no—
260C2×#127—21no—
261C2×#127—21no—
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#124—21no—
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267#525—24no—
268#525—42no—
269C2×#123—21no—
270C2×#123—21no—
271C2×#123—21no—
272C2×C22⋊Q8—21no—
273C2×C22⋊Q8C2311yescharacteristic
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×#120—21no—
298C2×#120—21no—
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120D411yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4—21no—
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4C2311yescharacteristic
314C2×C4×D4C2311yescharacteristic
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×#117C2311yescharacteristic
318C22×C22⋊C4—21no—
319#496—24no—
320#482—42no—
321#468—24no—
322#466—24no—
323#464—24no—
324#464—42no—
325#460—42no—
326#459—24no—
327#452—24no—
328#452—24no—
329#452—24no—
330#451—24no—
331#450—24no—
332#450—42no—
333#449—24no—
334#449—24no—
335#449—24no—
336#449—24no—
337#449—42no—
338#449—42no—
339#449—42no—
340#448—24no—
341#448—42no—
342#447—24no—
343#447—24no—
344#447—42no—
345#447—42no—
346#441—42no—
347#441—42no—
348#440—24no—
349#435—24no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×#106C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358#416—24no—
359#416—24no—
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×C22⋊C8—24no—
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×#97C2311yescharacteristic
409C2×#97C2311yescharacteristic
410C2×#97C2311yescharacteristic
411#398—21no—
412#397—21no—
413#397—21no—
414#397—21no—
415#396—21no—
416#396—21no—
417#396—21no—
418#396—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#394—21no—
430#394—21no—
431#394—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#392—21no—
440#392—21no—
441#392—21no—
442#392—21no—
443#391—21no—
444#391—21no—
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#390—21no—
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390—21no—
453#390—21no—
454#390—21no—
455#390—21no—
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#389—21no—
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#388—21no—
474#387—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386D411yescharacteristic
489#386D411yescharacteristic
490#386D411yescharacteristic
491#385—21no—
492#385—21no—
493#385—21no—
494#385D411yescharacteristic
495#385D411yescharacteristic
496#385D411yescharacteristic
497#384C2311yescharacteristic
498#382C2311yescharacteristic
499#381—21no—
500#380—21no—
501#380—21no—
502#380—21no—
503#380—21no—
504#380C2311yescharacteristic
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#379—21no—
513#379—21no—
514#379—21no—
515#379D411yescharacteristic
516C4×C22⋊C4—21no—
517C4×C22⋊C4—21no—
518C4×C22⋊C4—21no—
519C4×C22⋊C4—21no—
520C4×C22⋊C4C2311yescharacteristic
521C4×C22⋊C4C2311yescharacteristic
522C4×C22⋊C4C2311yescharacteristic
523#340C2311yescharacteristic
524#340C2311yescharacteristic
525#340C2311yescharacteristic
526#340C2311yescharacteristic
527#340C2311yescharacteristic
528#340C2311yescharacteristic
529#340C2311yescharacteristic
530#340C2311yescharacteristic
531#340C2311yescharacteristic
532#340C2311yescharacteristic
533#336C2311yescharacteristic
534#336C2311yescharacteristic
535#336C2311yescharacteristic
536#336C2311yescharacteristic
537#336C2311yescharacteristic
538#336C2311yescharacteristic
539C25—21no—
540C25—21no—
541C25C2×D411yescharacteristic
542C2×#41—22no—
543C2×#41—22no—
544C2×#41—22no—
545C2×#41—22no—
546C2×#41—22no—
547C2×#41—22no—
548C2×#41—22no—
549C2×#41—22no—
550C2×#41—22no—
551C2×#41—22no—
552C2×#41—22no—
553C2×#41—22no—
554C2×#41—22no—
555C2×#41—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—22no—
559C2×#41—44no—
560C2×#41—41no—
561C2×#41—41no—
562C2×#41—41no—
563C2×#41—41no—
564C2×#41—41no—
565C2×#41—41no—
566C2×#41—41no—
567C2×#41—41no—
568C2×#41—41no—
569C2×#41—41no—
570C2×#41—41no—
571C2×#41—41no—
572C2×#41—41no—
573C2×#41—44no—
574C2×#41—44no—
575C2×#41—41no—
576C2×#41—41no—
577C2×#41—41no—
578C2×#41—41no—
579C2×#41—44no—
580C2×#41—44no—
581C2×#41—44no—
582C2×#41—416no—
583C2×#41—416no—
584C2×#41—416no—
585C2×#41—416no—
586C2×#41C2×D414yes—
587C2×#41C2×D414yes—
588C22×Q8—22no—
589C22×Q8—22no—
590C22×Q8—21no—
591C22×Q8—22no—
592C22×Q8—22no—
593C22×Q8—41no—
594C22×Q8—41no—
595C22×Q8C2411yescharacteristic
596C22×Q8C2411yescharacteristic
597C22×Q8C2411yescharacteristic
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—22no—
602C22×D4—22no—
603C22×D4—22no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—21no—
614C22×D4—21no—
615C22×D4—21no—
616C22×D4—21no—
617C22×D4—21no—
618C22×D4—21no—
619C22×D4—21no—
620C22×D4—21no—
621C22×D4—21no—
622C22×D4—21no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—44no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4C2×D411yescharacteristic
636C22×D4C2×D411yescharacteristic
637C22×D4C2×D411yescharacteristic
638C22×D4C2411yescharacteristic
639C22×D4C2411yescharacteristic
640C22×D4C2411yescharacteristic
641C22×D4C2411yescharacteristic
642C22×D4C2411yescharacteristic
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—22no—
647C23×C4—22no—
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—21no—
653C23×C4—41no—
654C23×C4—41no—
655C23×C4—41no—
656C23×C4—41no—
657C23×C4—44no—
658C23×C4—44no—
659C23×C4—44no—
660C23×C4C2×D411yescharacteristic
661C23×C4C2×D411yescharacteristic
662C23×C4C2×D411yescharacteristic
663C23×C4C2411yescharacteristic
664C23×C4C2411yescharacteristic
665C23×C4C2411yescharacteristic
666C23×C4C2411yescharacteristic
667AGL(1,ℤ/8)—416no—
668#135—416no—
669#135—416no—
670C2×Q16—22no—
671C2×Q16—22no—
672C2×Q16—22no—
673C2×Q16—22no—
674C2×Q16—41no—
675C2×Q16C2×D414yes—
676C2×SD16—22no—
677C2×SD16—22no—
678C2×SD16—22no—
679C2×SD16—22no—
680C2×SD16—22no—
681C2×SD16—22no—
682C2×SD16—22no—
683C2×SD16—22no—
684C2×SD16—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—41no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×SD16—41no—
693C2×SD16—41no—
694C2×SD16—41no—
695C2×SD16C2×D414yes—
696C2×SD16C2×D414yes—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—22no—
702C2×D8—22no—
703C2×D8—41no—
704C2×D8—41no—
705C2×D8—41no—
706C2×D8—41no—
707C2×D8—41no—
708C2×D8—41no—
709C2×D8—41no—
710C2×D8—41no—
711C2×D8—41no—
712C2×D8—41no—
713C2×D8—41no—
714C2×D8C2×D414yes—
715C2×M16—22no—
716C2×M16—41no—
717C2×M16—41no—
718C22×C8—22no—
719C22×C8—41no—
720C22×C8—41no—
721C22×C8—41no—
722C22×C8—41no—
723C22×C8C2×D414yes—
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732#127—22no—
733#127—22no—
734#127—41no—
735#127—41no—
736#127—44no—
737#127—44no—
738#124—22no—
739#124—22no—
740#124—41no—
741#124—41no—
742#124—44no—
743#123—44no—
744#123—44no—
745#123—82no—
746C22⋊Q8—22no—
747C22⋊Q8—22no—
748C22⋊Q8—22no—
749C22⋊Q8—22no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—44no—
755#121—22no—
756#121—22no—
757#121—22no—
758#121—22no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—44no—
764#121—44no—
765#121—44no—
766#121—41no—
767#121—41no—
768#121—41no—
769#121—41no—
770#121—41no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—44no—
775#121—44no—
776#121—44no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#120—42no—
782#120—44no—
783#120—44no—
784#120—44no—
785#120—44no—
786#120—82no—
787#120—82no—
788#120—82no—
789#120—82no—
790#120—82no—
791C4×Q8—22no—
792C4×Q8—22no—
793C4×Q8—22no—
794C4×Q8—41no—
795C4×Q8—41no—
796C4×Q8—41no—
797C4×Q8—41no—
798C4×Q8—41no—
799C4×Q8—41no—
800C4×Q8—41no—
801C4×D4—22no—
802C4×D4—22no—
803C4×D4—22no—
804C4×D4—41no—
805C4×D4—41no—
806C4×D4—41no—
807C4×D4—41no—
808C4×D4—41no—
809C4×D4—44no—
810C4×D4—44no—
811C4×D4—44no—
812C4×D4—44no—
813C4×D4—44no—
814#117—22no—
815#117—22no—
816C2×C4⋊C4—21no—
817C2×C4⋊C4—21no—
818C2×C4⋊C4—21no—
819C2×C4⋊C4—21no—
820C2×C4⋊C4—21no—
821C2×C4⋊C4—21no—
822C2×C4⋊C4—21no—
823C2×C4⋊C4—21no—
824C2×C4⋊C4—21no—
825C2×C4⋊C4—21no—
826C2×C4⋊C4—21no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—21no—
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2×D411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
838C2×C4⋊C4C2411yescharacteristic
839C2×C4⋊C4C2411yescharacteristic
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—21no—
860C2×C22⋊C4—21no—
861C2×C22⋊C4—21no—
862C2×C22⋊C4—21no—
863C2×C22⋊C4—21no—
864C2×C22⋊C4—21no—
865C2×C22⋊C4—21no—
866C2×C22⋊C4—21no—
867C2×C22⋊C4—21no—
868C2×C22⋊C4—21no—
869C2×C22⋊C4—21no—
870C2×C22⋊C4—21no—
871C2×C22⋊C4—21no—
872C2×C22⋊C4—21no—
873C2×C22⋊C4—21no—
874C2×C22⋊C4—21no—
875C2×C22⋊C4—21no—
876C2×C22⋊C4—21no—
877C2×C22⋊C4—21no—
878C2×C22⋊C4—21no—
879C2×C22⋊C4—21no—
880C2×C22⋊C4—21no—
881C2×C22⋊C4—21no—
882C2×C22⋊C4—21no—
883C2×C22⋊C4—21no—
884C2×C22⋊C4—44no—
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C22⋊C4C2×D411yescharacteristic
891C2×C22⋊C4C2×D411yescharacteristic
892C2×C22⋊C4C2×D411yescharacteristic
893C2×C22⋊C4C2×D411yescharacteristic
894C2×C22⋊C4C2×D411yescharacteristic
895C2×C22⋊C4C2×D411yescharacteristic
896C2×C22⋊C4C2×D411yescharacteristic
897C2×C42—21no—
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42C2411yescharacteristic
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906#107—22no—
907#107—41no—
908#106—41no—
909#106—41no—
910#106—41no—
911C4⋊C8—22no—
912C4⋊C8—41no—
913C4⋊C8—41no—
914#103—22no—
915#103—22no—
916#103—22no—
917#103—22no—
918#103—22no—
919#103—22no—
920#103—22no—
921#103—22no—
922#103—22no—
923#103—41no—
924#103—41no—
925#103—41no—
926#103—41no—
927#102—22no—
928#102—22no—
929#102—22no—
930#102—22no—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102—41no—
941#102—41no—
942#102—41no—
943#102—41no—
944#102—41no—
945#102—41no—
946#102—41no—
947#102—41no—
948C22⋊C8—22no—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—41no—
956C22⋊C8—41no—
957C22⋊C8—41no—
958C22⋊C8—41no—
959C22⋊C8—41no—
960C22⋊C8—41no—
961#97—22no—
962#97—41no—
963#97—41no—
964#95—21no—
965#95—21no—
966#95—21no—
967#95—21no—
968#95—21no—
969#95—21no—
970#95—21no—
971#95—21no—
972#95—21no—
973#95—21no—
974#95—21no—
975#95—21no—
976#95—21no—
977#95—21no—
978#95—21no—
979#95—21no—
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985#95C2×D411yescharacteristic
986C24—21no—
987C24—21no—
988C24—21no—
989C24—22no—
990C24—22no—
991C24—21no—
992C24—21no—
993C24—41no—
994C24—41no—
995C24—41no—
996C24—41no—
997C24—41no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—42no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24—81no—
1011C24—81no—
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014C24C22×D411yescharacteristic
1015C24C22×D411yescharacteristic
1016#41—28no—
1017#41—28no—
1018#41—44no—
1019#41—44no—
1020#41—44no—
1021#41—44no—
1022#41—44no—
1023#41—44no—
1024#41—44no—
1025#41—44no—
1026#41—44no—
1027#41—44no—
1028#41—44no—
1029#41—44no—
1030#41—44no—
1031#41—44no—
1032#41—432no—
1033#41—432no—
1034#41—44no—
1035#41—44no—
1036#41—44no—
1037#41—82no—
1038#41—82no—
1039#41—82no—
1040#41—82no—
1041#41—82no—
1042C2×Q8—24no—
1043C2×Q8—21no—
1044C2×Q8—21no—
1045C2×Q8—21no—
1046C2×Q8—21no—
1047C2×Q8—21no—
1048C2×Q8—21no—
1049C2×Q8—21no—
1050C2×Q8—21no—
1051C2×Q8—21no—
1052C2×Q8—21no—
1053C2×Q8—21no—
1054C2×Q8—21no—
1055C2×Q8—21no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—44no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8C22×D412yes—
1063C2×Q8C22×D412yes—
1064C2×Q8H(5,𝔽2)12yes—
1065C2×Q8H(5,𝔽2)12yes—
1066C2×Q8H(5,𝔽2)12yes—
1067C2×D4—24no—
1068C2×D4—24no—
1069C2×D4—22no—
1070C2×D4—24no—
1071C2×D4—22no—
1072C2×D4—21no—
1073C2×D4—21no—
1074C2×D4—21no—
1075C2×D4—21no—
1076C2×D4—21no—
1077C2×D4—21no—
1078C2×D4—21no—
1079C2×D4—21no—
1080C2×D4—21no—
1081C2×D4—21no—
1082C2×D4—21no—
1083C2×D4—21no—
1084C2×D4—21no—
1085C2×D4—21no—
1086C2×D4—21no—
1087C2×D4—21no—
1088C2×D4—21no—
1089C2×D4—21no—
1090C2×D4—21no—
1091C2×D4—21no—
1092C2×D4—21no—
1093C2×D4—21no—
1094C2×D4—21no—
1095C2×D4—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—42no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C2×D4—41no—
1111C2×D4—41no—
1112C2×D4—41no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—44no—
1126C2×D4—44no—
1127C2×D4—44no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—432no—
1133C2×D4—44no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C2×D4—42no—
1148C2×D4—42no—
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—82no—
1158C2×D4—82no—
1159C2×D4—82no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—81no—
1165C2×D4—81no—
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—81no—
1175C2×D4—81no—
1176C2×D4—81no—
1177C2×D4—81no—
1178C2×D4C22×D412yes—
1179C2×D4C22×D412yes—
1180C2×D4H(5,𝔽2)12yes—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—21no—
1201C22×C4—21no—
1202C22×C4—21no—
1203C22×C4—21no—
1204C22×C4—21no—
1205C22×C4—21no—
1206C22×C4—21no—
1207C22×C4—21no—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—24no—
1213C22×C4—21no—
1214C22×C4—21no—
1215C22×C4—21no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—21no—
1220C22×C4—21no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—42no—
1229C22×C4—42no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—432no—
1247C22×C4—42no—
1248C22×C4—81no—
1249C22×C4—81no—
1250C22×C4—81no—
1251C22×C4—81no—
1252C22×C4C22×D411yescharacteristic
1253C22×C4C22×D411yescharacteristic
1254C22×C4C22×D411yescharacteristic
1255C22×C4C22×D411yescharacteristic
1256C22×C4C22×D411yescharacteristic
1257C22×C4C22×D411yescharacteristic
1258C22×C4C22×D411yescharacteristic
1259C22×C4C22×D411yescharacteristic
1260C22×C4C22×D411yescharacteristic
1261C22×C4C22×D411yescharacteristic
1262C22×C4C22×D412yes—
1263C22×C4H(5,𝔽2)12yes—
1264C22×C4C2511yescharacteristic
1265Q16—28no—
1266Q16—44no—
1267SD16—28no—
1268SD16—44no—
1269SD16—44no—
1270SD16—44no—
1271SD16—44no—
1272SD16—82no—
1273SD16—82no—
1274D8—44no—
1275D8—44no—
1276D8—44no—
1277D8—44no—
1278D8—82no—
1279D8—82no—
1280M16—44no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8—21no—
1286C2×C8—21no—
1287C2×C8—21no—
1288C2×C8—21no—
1289C2×C8—21no—
1290C2×C8—21no—
1291C2×C8—21no—
1292C2×C8—21no—
1293C2×C8—21no—
1294C2×C8—21no—
1295C2×C8—21no—
1296C2×C8—21no—
1297C2×C8—21no—
1298C2×C8—21no—
1299C2×C8—21no—
1300C2×C8—21no—
1301C2×C8—21no—
1302C2×C8—21no—
1303C2×C8—44no—
1304C2×C8—44no—
1305C2×C8C22×D412yes—
1306C2×C8C22×D412yes—
1307C4⋊C4—22no—
1308C4⋊C4—21no—
1309C4⋊C4—21no—
1310C4⋊C4—21no—
1311C4⋊C4—21no—
1312C4⋊C4—21no—
1313C4⋊C4—21no—
1314C4⋊C4—21no—
1315C4⋊C4—21no—
1316C4⋊C4—21no—
1317C4⋊C4—21no—
1318C4⋊C4—21no—
1319C4⋊C4—21no—
1320C4⋊C4—21no—
1321C4⋊C4—21no—
1322C4⋊C4—21no—
1323C4⋊C4—21no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—81no—
1334C4⋊C4—81no—
1335C4⋊C4—81no—
1336C4⋊C4—81no—
1337C4⋊C4—81no—
1338C4⋊C4—81no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
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—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C22⋊C4—81no—
1382C22⋊C4—81no—
1383C22⋊C4—81no—
1384C22⋊C4—81no—
1385C22⋊C4—81no—
1386C22⋊C4—81no—
1387C22⋊C4—81no—
1388C22⋊C4—81no—
1389C22⋊C4—81no—
1390C22⋊C4—81no—
1391C22⋊C4—81no—
1392C22⋊C4—81no—
1393C22⋊C4—81no—
1394C22⋊C4—81no—
1395C42—21no—
1396C42—21no—
1397C42—21no—
1398C42—21no—
1399C42—21no—
1400C42—21no—
1401C42—42no—
1402C42—42no—
1403C42—42no—
1404C42—42no—
1405C42—81no—
1406C42—81no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—22no—
1427C23—21no—
1428C23—22no—
1429C23—21no—
1430C23—21no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—44no—
1437C23—44no—
1438C23—48no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—41no—
1450C23—41no—
1451C23—41no—
1452C23—41no—
1453C23—41no—
1454C23—41no—
1455C23—41no—
1456C23—41no—
1457C23—41no—
1458C23—41no—
1459C23—41no—
1460C23—41no—
1461C23—41no—
1462C23—41no—
1463C23—41no—
1464C23—41no—
1465C23—41no—
1466C23—41no—
1467C23—41no—
1468C23—41no—
1469C23—41no—
1470C23—41no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23—84no—
1475C23—84no—
1476C23—84no—
1477C23—82no—
1478C23—82no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23—84no—
1484C23—162no—
1485C23—162no—
1486C23—162no—
1487C23—162no—
1488C23—162no—
1489C23D4212yes—
1490C23#57512yes—
1491C23C23×D411yescharacteristic
1492Q8—22no—
1493Q8—22no—
1494Q8—22no—
1495Q8—22no—
1496Q8—22no—
1497Q8—22no—
1498Q8—22no—
1499Q8—48no—
1500Q8—41no—
1501Q8—41no—
1502Q8—41no—
1503Q8—41no—
1504Q8#53414yes—
1505D4—22no—
1506D4—22no—
1507D4—22no—
1508D4—22no—
1509D4—22no—
1510D4—22no—
1511D4—48no—
1512D4—48no—
1513D4—48no—
1514D4—48no—
1515D4—48no—
1516D4—41no—
1517D4—41no—
1518D4—41no—
1519D4—41no—
1520D4—41no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—41no—
1525D4—41no—
1526D4—41no—
1527D4—41no—
1528D4—41no—
1529D4—41no—
1530D4—84no—
1531D4—82no—
1532D4—82no—
1533D4—84no—
1534D4—82no—
1535D4—84no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540D4—84no—
1541D4—162no—
1542D4—162no—
1543D4—162no—
1544D4—162no—
1545D4—162no—
1546D4—162no—
1547D4—162no—
1548D4—162no—
1549D4—162no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—41no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—41no—
1613C2×C4—41no—
1614C2×C4—41no—
1615C2×C4—41no—
1616C2×C4—41no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—41no—
1622C2×C4—41no—
1623C2×C4—41no—
1624C2×C4—41no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—41no—
1628C2×C4—41no—
1629C2×C4—41no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—162no—
1639C2×C4D4212yes—
1640C2×C4C23×D411yescharacteristic
1641C2×C4C2×H(5,𝔽2)11yescharacteristic
1642C2×C4C2×H(5,𝔽2)11yescharacteristic
1643C2×C4C2×H(5,𝔽2)11yescharacteristic
1644C2×C4C2×H(5,𝔽2)11yescharacteristic
1645C2×C4C2×H(5,𝔽2)11yescharacteristic
1646C8—22no—
1647C8—22no—
1648C8—41no—
1649C8—41no—
1650C8—41no—
1651C8—41no—
1652C8—41no—
1653C8—41no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—22no—
1658C22—22no—
1659C22—22no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—42no—
1669C22—42no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—41no—
1677C22—42no—
1678C22—41no—
1679C22—41no—
1680C22—42no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—42no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—42no—
1691C22—88no—
1692C22—816no—
1693C22—81no—
1694C22—81no—
1695C22—81no—
1696C22—81no—
1697C22—81no—
1698C22—81no—
1699C22—81no—
1700C22—81no—
1701C22—81no—
1702C22—81no—
1703C22—81no—
1704C22—81no—
1705C22—81no—
1706C22—81no—
1707C22—81no—
1708C22—81no—
1709C22—81no—
1710C22—81no—
1711C22—81no—
1712C22—81no—
1713C22—81no—
1714C22—81no—
1715C22—81no—
1716C22—81no—
1717C22—81no—
1718C22—81no—
1719C22—168no—
1720C22C2×D4211yescharacteristic
1721C22#348411yescharacteristic
1722C22#348411yescharacteristic
1723C22C2×#57511yescharacteristic
1724C22#358411yescharacteristic
1725C22#358511yescharacteristic
1726C22#358511yescharacteristic
1727C4—22no—
1728C4—24no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—81no—
1741C4—81no—
1742C4—81no—
1743C4—81no—
1744C4—81no—
1745C4—81no—
1746C4—81no—
1747C4—81no—
1748C4C2×#53411yescharacteristic
1749C4#348411yescharacteristic
1750C4#353211yescharacteristic
1751C4#353211yescharacteristic
1752C2—42no—
1753C2—42no—
1754C2—81no—
1755C2—81no—
1756C2—82no—
1757C2—82no—
1758C2—82no—
1759C2—161no—
1760C2—161no—
1761C2#3764411yescharacteristic
1762C2#6103011yescharacteristic
1763C2#6106311yescharacteristic
1764C2#6157711yescharacteristic
1765C2#6157911yescharacteristic
1766C2#6161611yescharacteristic
1767C2#6162511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3268C2semidirect
2. C2×#3002C2semidirect
3. #39885C2semidirect
4. #36429C2semidirect
5. #32880C2semidirect
6. #31064C2semidirect
7. #31063C2semidirect
8. #31011C2semidirect
9. #31000C2semidirect
10. #30475C2semidirect
11. #30472C2semidirect
12. #30422C2semidirect
13. #30420C2semidirect
14. #29732C2semidirect
15. #29600C2semidirect
16. #28349C2semidirect
17. #28109C2semidirect
18. #25175C2semidirect
19. #25169C2semidirect
20. #24916C2semidirect
21. #24914C2semidirect
22. #24535C2semidirect
23. #24362C2semidirect
24. #24258C2semidirect
25. #24254C2semidirect
26. #24034C2semidirect
27. #23869C2semidirect
28. #23866C2semidirect
29. #23850C2semidirect
30. #22441C2semidirect
31. #22034C2semidirect
32. C23×#41C22semidirect
33. C22×AGL(1,ℤ/8)C22semidirect
39. C2×#546C22semidirect
42. C2×#496C22semidirect
43. C2×#482C22semidirect
44. C2×#468C22semidirect
45. C2×#466C22semidirect
46. C2×#464C22semidirect
47. C2×#464C22semidirect
48. C2×#460C22semidirect
49. C2×#459C22semidirect
51. C2×#452C22semidirect
52. C2×#452C22semidirect
53. C2×#452C22semidirect
60. C2×#449C22semidirect
61. C2×#451C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
68. C2×#447C22semidirect
69. C2×#447C22semidirect
70. C2×#441C22semidirect
71. C2×#441C22semidirect
72. C2×#440C22semidirect
73. C2×#435C22semidirect
74. C2×#416C22semidirect
75. C2×#416C22semidirect
76. C22×C22⋊C8C22semidirect
79. #2847C22semidirect
87. #2536C22semidirect
89. #2500C22semidirect
90. #2485C22semidirect
92. #2433C22semidirect
95. #2431C22semidirect
96. #2431C22semidirect
98. #2426C22semidirect
99. #2422C22semidirect
104. #2408C22semidirect
109. #2341C22semidirect
110. #2341C22semidirect
111. #2341C22semidirect
112. Q8×C22⋊C4C22semidirect
116. #2097C22semidirect
117. #2093C22semidirect
118. #2076C22semidirect
119. #2076C22semidirect
120. #2073C22semidirect
121. #2071C22semidirect
122. #2066C22semidirect
123. #2065C22semidirect
124. #2055C22semidirect
125. #2054C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2041C22semidirect
129. #2041C22semidirect
130. #2036C22semidirect
131. #2035C22semidirect
132. #2035C22semidirect
135. #2034C22semidirect
136. #2034C22semidirect
137. #2034C22semidirect
138. #2034C22semidirect
139. #2034C22semidirect
140. #2033C22semidirect
141. #2033C22semidirect
142. #2015C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2011C22semidirect
147. #2011C22semidirect
148. #2001C22semidirect
149. #2000C22semidirect
150. #2000C22semidirect
151. #2000C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1973C22semidirect
157. #1972C22semidirect
158. #1972C22semidirect
159. #1972C22semidirect
160. #1961C22semidirect
161. #1959C22semidirect
163. #1955C22semidirect
164. #1936C22semidirect
165. #1935C22semidirect
166. #1924C22semidirect
167. #1924C22semidirect
168. #1924C22semidirect
169. #1924C22semidirect
170. #1895C22semidirect
171. #1894C22semidirect
172. #1893C22semidirect
173. #1893C22semidirect
174. #1880C22semidirect
175. #1880C22semidirect
176. #1880C22semidirect
177. #1880C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1879C22semidirect
182. #1878C22semidirect
183. #1877C22semidirect
185. #1870C22semidirect
186. #1869C22semidirect
187. #1865C22semidirect
188. #1863C22semidirect
189. #1850C22semidirect
190. #1825C22semidirect
191. #1807C22semidirect
192. #1805C22semidirect
193. #1803C22semidirect
194. #1788C22semidirect
195. #1788C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1788C22semidirect
199. #1788C22semidirect
200. #1788C22semidirect
201. #1787C22semidirect
202. #1786C22semidirect
203. #1779C22semidirect
204. #1752C22semidirect
233. C2×#135D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32682
C2×#30022
#398852
#364292
#328802
#310642
#310632
#310112
#310002
#304752
#304722
#304222
#304202
#297322
#296002
#283492
#281092
#251752
#251692
#249162
#249142
#245352
#243622
#242582
#242542
#240342
#238692
#238662
#238502
#224412
#220342