Finite Group Databasebeta

← #6668711

Subgroups — #6668711

Order 512.

2856 conjugacy classes of subgroups.

The subgroup lattice has 1733 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3222C211yesmaximal, characteristic, complemented
2C2×#3005C211yesmaximal, characteristic, complemented
3#37671C211yesmaximal, characteristic, complemented
4#35250C211yesmaximal, characteristic, complemented
5#32883C211yesmaximal, characteristic, complemented
6#31015C211yesmaximal, characteristic, complemented
7#30989C211yesmaximal, characteristic, complemented
8#30549C211yesmaximal, characteristic, complemented
9#30532C211yesmaximal, characteristic, complemented
10#30475C211yesmaximal, characteristic, complemented
11#30474C211yesmaximal, characteristic, complemented
12#30459C211yesmaximal, characteristic, complemented
13#30458C211yesmaximal, characteristic, complemented
14#29729C211yesmaximal, characteristic, complemented
15#29630C211yesmaximal, characteristic, complemented
16#27279C211yesmaximal, characteristic, complemented
17#27275C211yesmaximal, characteristic, complemented
18#25792C211yesmaximal, characteristic, complemented
19#25791C211yesmaximal, characteristic, complemented
20#25736C211yesmaximal, characteristic, complemented
21#25107C211yesmaximal, characteristic, complemented
22#25093C211yesmaximal, characteristic, complemented
23#24513C211yesmaximal, characteristic, complemented
24#24385C211yesmaximal, characteristic, complemented
25#24375C211yesmaximal, characteristic, complemented
26#24370C211yesmaximal, characteristic, complemented
27#24220C211yesmaximal, characteristic, complemented
28#23944C211yesmaximal, characteristic, complemented
29#23920C211yesmaximal, characteristic, complemented
30#22559C211yesmaximal, characteristic, complemented
31#22057C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×#137C2211yescharacteristic, complemented
34C22×AGL(1,ℤ/8)C2211yescharacteristic, complemented
35C2×#541C2211yescharacteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×#121C2211yescharacteristic
40#3222—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#496C2211yescharacteristic, complemented
43C2×#495C2211yescharacteristic, complemented
44C2×#492C2211yescharacteristic, complemented
45C2×#490C2211yescharacteristic, complemented
46C2×#488C2211yescharacteristic, complemented
47C2×#468C2211yescharacteristic
48C2×#468C2211yescharacteristic
49C2×#464C2211yescharacteristic, complemented
50C2×#464C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#460C2211yescharacteristic, complemented
54C2×#460C2211yescharacteristic, complemented
55#3005—28no—
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic, complemented
61C2×#452C2211yescharacteristic, complemented
62C2×#452C2211yescharacteristic, complemented
63C2×#452C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic
65C2×#449C2211yescharacteristic
66C2×#449C2211yescharacteristic
67C2×#449C2211yescharacteristic
68C2×#449C2211yescharacteristic, complemented
69C2×#449C2211yescharacteristic, complemented
70C2×#451C2211yescharacteristic, complemented
71C2×#450C2211yescharacteristic, complemented
72C2×#450C2211yescharacteristic, complemented
73C2×#450C2211yescharacteristic, complemented
74C2×#447C2211yescharacteristic, complemented
75C2×#433C2211yescharacteristic, complemented
76C2×#419C2211yescharacteristic, complemented
77C2×#418C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic
79#2848C2211yescharacteristic
80#2847—21no—
81#2847—21no—
82#2707—21no—
83#2694—21no—
84#2685—21no—
85#2685—21no—
86#2624C2211yescharacteristic, complemented
87#2620C2211yescharacteristic, complemented
88#2615—21no—
89#2615—21no—
90#2490C2211yescharacteristic, complemented
91#2468—21no—
92#2466—21no—
93#2460—21no—
94#2454—21no—
95#2441C2211yescharacteristic, complemented
96#2436C2211yescharacteristic
97#2436C2211yescharacteristic
98#2433C2211yescharacteristic
99#2433C2211yescharacteristic
100#2432C2211yescharacteristic, complemented
101#2431C2211yescharacteristic
102#2431C2211yescharacteristic
103#2431C2211yescharacteristic
104#2431C2211yescharacteristic
105#2429C2211yescharacteristic, complemented
106#2426C2211yescharacteristic, complemented
107#2423C2211yescharacteristic, complemented
108#2404—21no—
109#2404—21no—
110#2403—21no—
111#2403—21no—
112#2362C2211yescharacteristic, complemented
113#2341C2211yescharacteristic, complemented
114#2323C2211yescharacteristic, complemented
115#2311C2211yescharacteristic
116#2311C2211yescharacteristic
117#2280C2211yescharacteristic
118#2072C2211yescharacteristic, complemented
119#2071C2211yescharacteristic, complemented
120#2068C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2056C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2055C2211yescharacteristic, complemented
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2042C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2042C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2041C2211yescharacteristic, complemented
133#2041C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2026C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2016C2211yescharacteristic, complemented
139#2015C2211yescharacteristic, complemented
140#2015C2211yescharacteristic, complemented
141#2015C2211yescharacteristic, complemented
142#2014C2211yescharacteristic, complemented
143#2014C2211yescharacteristic, complemented
144#2013C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2011C2211yescharacteristic, complemented
150#2011C2211yescharacteristic, complemented
151#2011C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1970C2211yescharacteristic, complemented
163#1969C2211yescharacteristic, complemented
164#1959C2211yescharacteristic, complemented
165#1957C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1935C2211yescharacteristic, complemented
168#1934C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1923C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic
177#1895C2211yescharacteristic
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1875C2211yescharacteristic
185#1875C2211yescharacteristic
186#1874C2211yescharacteristic, complemented
187#1872C2211yescharacteristic, complemented
188#1872C2211yescharacteristic, complemented
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1818C2211yescharacteristic, complemented
193#1798C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1779C2211yescharacteristic
202#1753C2211yescharacteristic, complemented
203#1753C2211yescharacteristic, complemented
204#1750C2211yescharacteristic, 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
218C23×Q8C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4—21no—
224C24×C4C2311yescharacteristic
225C2×#137—24no—
226C2×#137—42no—
227C2×#137—42no—
228C2×AGL(1,ℤ/8)—24no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×Q16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×SD16C2311yescharacteristic
244C22×SD16C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×D8C2311yescharacteristic
247C22×D8C2311yescharacteristic
248C22×D8C2311yescharacteristic
249C22×M16C2311yescharacteristic
250C22×M16C2311yescharacteristic
251#541—24no—
252#541—42no—
253#535—24no—
254#535—42no—
255#535—42no—
256#535—42no—
257C2×C4⋊Q8C2311yescharacteristic
258C2×#127C2311yescharacteristic
259C2×#127C2311yescharacteristic
260C2×#127C2311yescharacteristic
261C2×#127C2311yescharacteristic
262C2×#126—21no—
263C2×#126—21no—
264C2×#125—21no—
265C2×#125—21no—
266C2×#125C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#124C2311yescharacteristic
271C2×#124C2311yescharacteristic
272#525—24no—
273#525—42no—
274C2×#123—21no—
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—42no—
287C2×#121—42no—
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
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×#120—21no—
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×#117C2311yescharacteristic
309C2×#117C2311yescharacteristic
310C2×#117C2311yescharacteristic
311C22×C4⋊C4C2311yescharacteristic
312C22×C22⋊C4—21no—
313#497—24no—
314#496—42no—
315#495—42no—
316#492—24no—
317#490—24no—
318#488—24no—
319#468—42no—
320#468—42no—
321#464—24no—
322#464—24no—
323#464—42no—
324#460—24no—
325#460—24no—
326#460—42no—
327#452—24no—
328#452—24no—
329#452—24no—
330#452—24no—
331#452—42no—
332#452—42no—
333#452—42no—
334#452D418yescomplemented
335#451—42no—
336#450—24no—
337#450—24no—
338#450—42no—
339#449—24no—
340#449—24no—
341#449—24no—
342#449—24no—
343#449—42no—
344#449—42no—
345#447—42no—
346#433—24no—
347C2×#107C2311yescharacteristic
348C2×#107C2311yescharacteristic
349C2×C4⋊C8C2311yescharacteristic
350C2×C4⋊C8C2311yescharacteristic
351C2×C4⋊C8C2311yescharacteristic
352C2×C4⋊C8C2311yescharacteristic
353#419—24no—
354#418—24no—
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391#407—24no—
392C2×C22⋊C8C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×C22⋊C8C2311yescharacteristic
399C2×C22⋊C8C2311yescharacteristic
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×#97C2311yescharacteristic
403C2×#97C2311yescharacteristic
404C2×C4×C8C2311yescharacteristic
405C2×C4×C8C2311yescharacteristic
406#399—21no—
407#399—21no—
408#399—21no—
409#398—21no—
410#398—21no—
411#397—21no—
412#397—21no—
413#396—21no—
414#396—21no—
415#396—21no—
416#396—21no—
417#396—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#393—21no—
427#393—21no—
428#393—21no—
429#393—21no—
430#392—21no—
431#392—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#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#390—21no—
449#390—21no—
450#390—21no—
451#390—21no—
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#389—21no—
460#389—21no—
461#389—21no—
462#389C2311yescharacteristic
463#389C2311yescharacteristic
464#389C2311yescharacteristic
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#388—21no—
472#388—21no—
473#387—21no—
474#387—21no—
475#387—21no—
476#387—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#386—21no—
489#386—21no—
490#386—21no—
491#386—21no—
492#386—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385—21no—
497#385—21no—
498#384C2311yescharacteristic
499#381D411yescharacteristic
500#381D411yescharacteristic
501#380—21no—
502#380—21no—
503#380—21no—
504#380—21no—
505#380—21no—
506#380D411yescharacteristic
507#380D411yescharacteristic
508#380D411yescharacteristic
509#380D411yescharacteristic
510#380C2311yescharacteristic
511#380C2311yescharacteristic
512#380C2311yescharacteristic
513#379—21no—
514#379D411yescharacteristic
515#379D411yescharacteristic
516C4×C4⋊C4—21no—
517C4×C4⋊C4C2311yescharacteristic
518C4×C22⋊C4—21no—
519C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
532#336C2311yescharacteristic
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—44no—
555C2×#41—41no—
556C2×#41—41no—
557C2×#41—41no—
558C2×#41—41no—
559C2×#41—41no—
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—44no—
571C2×#41—44no—
572C2×#41—44no—
573C2×#41—44no—
574C2×#41—41no—
575C2×#41—41no—
576C2×#41—44no—
577C2×#41—416no—
578C2×#41—416no—
579C2×#41—416no—
580C2×#41—416no—
581C2×#41C2×D414yes—
582C22×Q8—21no—
583C22×Q8—22no—
584C22×Q8—22no—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×D4—22no—
594C22×D4—22no—
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—21no—
598C22×D4—21no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—22no—
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—22no—
618C22×D4—22no—
619C22×D4—22no—
620C22×D4—41no—
621C22×D4—41no—
622C22×D4—41no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4—41no—
626C22×D4—44no—
627C22×D4—44no—
628C22×D4—44no—
629C22×D4—44no—
630C22×D4—82no—
631C22×D4—82no—
632C22×D4C2411yescharacteristic
633C22×D4C2411yescharacteristic
634C22×D4C2411yescharacteristic
635C22×D4C2411yescharacteristic
636C22×D4C2411yescharacteristic
637C23×C4—21no—
638C23×C4—21no—
639C23×C4—22no—
640C23×C4—22no—
641C23×C4—22no—
642C23×C4—22no—
643C23×C4—21no—
644C23×C4—21no—
645C23×C4—21no—
646C23×C4—21no—
647C23×C4—21no—
648C23×C4—41no—
649C23×C4—41no—
650C23×C4—44no—
651C23×C4—44no—
652C23×C4—44no—
653C23×C4C2×D411yescharacteristic
654C23×C4C2×D411yescharacteristic
655C23×C4C2×D411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658C23×C4C2411yescharacteristic
659#137—416no—
660AGL(1,ℤ/8)—416no—
661C2×Q16—22no—
662C2×Q16—22no—
663C2×Q16—22no—
664C2×Q16—22no—
665C2×Q16—41no—
666C2×Q16—41no—
667C2×Q16—41no—
668C2×Q16—41no—
669C2×Q16—41no—
670C2×Q16—41no—
671C2×Q16—41no—
672C2×Q16C2×D414yescomplemented
673C2×SD16—22no—
674C2×SD16—22no—
675C2×SD16—22no—
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—41no—
685C2×SD16—41no—
686C2×SD16—41no—
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×SD16—41no—
696C2×SD16—41no—
697C2×SD16—41no—
698C2×SD16—41no—
699C2×SD16—41no—
700C2×SD16—41no—
701C2×SD16—41no—
702C2×SD16C2×D414yescomplemented
703C2×D8—22no—
704C2×D8—22no—
705C2×D8—22no—
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×D8—41no—
715C2×M16—22no—
716C2×M16—22no—
717C2×M16—22no—
718C2×M16—22no—
719C2×M16—41no—
720C2×M16—41no—
721C22×C8C2411yescharacteristic
722C22×C8C2411yescharacteristic
723C22×C8C2411yescharacteristic
724C22×C8C2411yescharacteristic
725C22×C8C2411yescharacteristic
726C22×C8C2411yescharacteristic
727C22×C8C2411yescharacteristic
728C22×C8C2411yescharacteristic
729C4⋊Q8—22no—
730C4⋊Q8—41no—
731#127—22no—
732#127—22no—
733#127—22no—
734#127—22no—
735#127—41no—
736#127—41no—
737#127—41no—
738#127—41no—
739#126—44no—
740#126—44no—
741#125—22no—
742#125—41no—
743#125—44no—
744#125—44no—
745#124—22no—
746#124—22no—
747#124—22no—
748#124—22no—
749#124—41no—
750#124—41no—
751#124—41no—
752#124—41no—
753#124—41no—
754#124—41no—
755#123—44no—
756C22⋊Q8—22no—
757C22⋊Q8—22no—
758C22⋊Q8—22no—
759C22⋊Q8—22no—
760C22⋊Q8—22no—
761C22⋊Q8—22no—
762C22⋊Q8—41no—
763C22⋊Q8—41no—
764C22⋊Q8—41no—
765C22⋊Q8C2×D414yes—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—22no—
770#121—22no—
771#121—22no—
772#121—22no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—44no—
779#121—44no—
780#121—44no—
781#121—44no—
782#121—44no—
783#121—44no—
784#120—44no—
785#120—44no—
786#120—44no—
787#120—44no—
788#120—44no—
789#120—82no—
790#120—82no—
791#120—82no—
792#120—82no—
793C4×Q8—22no—
794C4×Q8—22no—
795C4×Q8—41no—
796C4×Q8—41no—
797C4×Q8—41no—
798C4×Q8—41no—
799C4×D4—44no—
800C4×D4—44no—
801#117—22no—
802#117—22no—
803#117—22no—
804#117—41no—
805#117—41no—
806#117—41no—
807C2×C4⋊C4—21no—
808C2×C4⋊C4—21no—
809C2×C4⋊C4—21no—
810C2×C4⋊C4—21no—
811C2×C4⋊C4—21no—
812C2×C4⋊C4—21no—
813C2×C4⋊C4—21no—
814C2×C4⋊C4—21no—
815C2×C4⋊C4—21no—
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—41no—
826C2×C4⋊C4—41no—
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D411yescharacteristic
829C2×C4⋊C4C2×D411yescharacteristic
830C2×C4⋊C4C2×D411yescharacteristic
831C2×C4⋊C4C2411yescharacteristic
832C2×C4⋊C4C2411yescharacteristic
833C2×C4⋊C4C2411yescharacteristic
834C2×C4⋊C4C2411yescharacteristic
835C2×C4⋊C4C2411yescharacteristic
836C2×C4⋊C4C2411yescharacteristic
837C2×C4⋊C4C2411yescharacteristic
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⋊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—44no—
878C2×C22⋊C4C2×D411yescharacteristic
879C2×C22⋊C4C2×D411yescharacteristic
880C2×C22⋊C4C2×D411yescharacteristic
881C2×C22⋊C4C2×D411yescharacteristic
882C2×C22⋊C4C2×D411yescharacteristic
883C2×C22⋊C4C2×D411yescharacteristic
884C2×C22⋊C4C2×D411yescharacteristic
885C2×C22⋊C4C2×D411yescharacteristic
886C2×C22⋊C4C2×D411yescharacteristic
887C2×C22⋊C4C2×D411yescharacteristic
888C2×C22⋊C4C2×D411yescharacteristic
889C2×C22⋊C4C2×D411yescharacteristic
890C2×C42—21no—
891C2×C42—21no—
892C2×C42—21no—
893C2×C42—21no—
894C2×C42—21no—
895C2×C42C2411yescharacteristic
896C2×C42C2411yescharacteristic
897C2×C42C2411yescharacteristic
898C2×C42C2411yescharacteristic
899#107—41no—
900#107—41no—
901C4⋊C8—22no—
902C4⋊C8—22no—
903C4⋊C8—41no—
904C4⋊C8—41no—
905#103—22no—
906#103—22no—
907#103—22no—
908#103—22no—
909#103—22no—
910#103—41no—
911#103—41no—
912#103—41no—
913#103—41no—
914#103—41no—
915#103—41no—
916#103—41no—
917#103—41no—
918#103C2×D414yescomplemented
919#102—22no—
920#102—22no—
921#102—22no—
922#102—22no—
923#102—22no—
924#102—22no—
925#102—22no—
926#102—22no—
927#102—22no—
928#102—41no—
929#102—41no—
930#102—41no—
931#102—41no—
932#102—41no—
933#102—41no—
934#102—41no—
935#102—41no—
936#102—41no—
937#102—41no—
938#102—41no—
939#102—41no—
940#102C2×D414yescomplemented
941C22⋊C8—22no—
942C22⋊C8—22no—
943C22⋊C8—22no—
944C22⋊C8—22no—
945C22⋊C8—22no—
946C22⋊C8—22no—
947C22⋊C8—22no—
948C22⋊C8—41no—
949C22⋊C8—41no—
950C22⋊C8C2×D414yes—
951#97—22no—
952#97—41no—
953C4×C8—22no—
954C4×C8—41no—
955#95—21no—
956#95—21no—
957#95—21no—
958#95—21no—
959#95—21no—
960#95—21no—
961#95—21no—
962#95—21no—
963#95—21no—
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#95C2×D411yescharacteristic
975#95C2×D411yescharacteristic
976#95C2×D411yescharacteristic
977#95C2×D411yescharacteristic
978#95C2×D411yescharacteristic
979#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982C24—21no—
983C24—21no—
984C24—22no—
985C24—22no—
986C24—21no—
987C24—21no—
988C24—21no—
989C24—41no—
990C24—41no—
991C24—41no—
992C24—41no—
993C24—41no—
994C24—42no—
995C24—42no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—81no—
1003C24—81no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24C22×D411yescharacteristic
1009C24C22×D411yescharacteristic
1010C24C22×D411yescharacteristic
1011#41—44no—
1012#41—44no—
1013#41—44no—
1014#41—44no—
1015#41—44no—
1016#41—44no—
1017#41—44no—
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—432no—
1028#41—432no—
1029#41—44no—
1030#41—44no—
1031#41—82no—
1032#41—82no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—28no—
1037C2×Q8—21no—
1038C2×Q8—21no—
1039C2×Q8—21no—
1040C2×Q8—21no—
1041C2×Q8—21no—
1042C2×Q8—21no—
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—42no—
1056C2×Q8—42no—
1057C2×Q8—44no—
1058C2×Q8—44no—
1059C2×Q8—44no—
1060C2×Q8—42no—
1061C2×Q8C22×D412yes—
1062C2×Q8C22×D412yes—
1063C2×Q8H(5,𝔽2)12yes—
1064C2×D4—28no—
1065C2×D4—24no—
1066C2×D4—24no—
1067C2×D4—21no—
1068C2×D4—21no—
1069C2×D4—21no—
1070C2×D4—21no—
1071C2×D4—21no—
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—44no—
1096C2×D4—44no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—42no—
1100C2×D4—42no—
1101C2×D4—44no—
1102C2×D4—42no—
1103C2×D4—42no—
1104C2×D4—42no—
1105C2×D4—42no—
1106C2×D4—42no—
1107C2×D4—42no—
1108C2×D4—42no—
1109C2×D4—42no—
1110C2×D4—42no—
1111C2×D4—42no—
1112C2×D4—42no—
1113C2×D4—42no—
1114C2×D4—42no—
1115C2×D4—42no—
1116C2×D4—42no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—432no—
1122C2×D4—42no—
1123C2×D4—42no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—42no—
1128C2×D4—42no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—82no—
1137C2×D4—82no—
1138C2×D4—82no—
1139C2×D4—82no—
1140C2×D4—81no—
1141C2×D4—81no—
1142C2×D4—81no—
1143C2×D4—81no—
1144C2×D4—81no—
1145C2×D4—81no—
1146C2×D4—81no—
1147C2×D4—81no—
1148C2×D4—81no—
1149C2×D4—81no—
1150C2×D4—81no—
1151C2×D4—81no—
1152C2×D4—81no—
1153C2×D4—81no—
1154C2×D4—81no—
1155C2×D4—81no—
1156C2×D4—81no—
1157C2×D4—81no—
1158C2×D4—81no—
1159C2×D4—81no—
1160C2×D4—81no—
1161C2×D4—81no—
1162C2×D4—81no—
1163C2×D4—81no—
1164C2×D4—816no—
1165C2×D4C22×D412yes—
1166C2×D4H(5,𝔽2)12yes—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—21no—
1170C22×C4—21no—
1171C22×C4—21no—
1172C22×C4—21no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—22no—
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—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—21no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—44no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—42no—
1208C22×C4—42no—
1209C22×C4—42no—
1210C22×C4—42no—
1211C22×C4—42no—
1212C22×C4—42no—
1213C22×C4—42no—
1214C22×C4—42no—
1215C22×C4—42no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—42no—
1219C22×C4—432no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—81no—
1225C22×C4—81no—
1226C22×C4—81no—
1227C22×C4C22×D411yescharacteristic
1228C22×C4C22×D411yescharacteristic
1229C22×C4C22×D411yescharacteristic
1230C22×C4C22×D411yescharacteristic
1231C22×C4C22×D411yescharacteristic
1232C22×C4C22×D411yescharacteristic
1233C22×C4C22×D411yescharacteristic
1234C22×C4C22×D411yescharacteristic
1235C22×C4C22×D411yescharacteristic
1236C22×C4C22×D411yescharacteristic
1237C22×C4C22×D411yescharacteristic
1238C22×C4C22×D412yes—
1239C22×C4H(5,𝔽2)12yes—
1240C22×C4H(5,𝔽2)12yes—
1241C22×C4H(5,𝔽2)12yes—
1242C22×C4C2511yescharacteristic
1243Q16—44no—
1244Q16—44no—
1245Q16—82no—
1246Q16—82no—
1247SD16—44no—
1248SD16—44no—
1249SD16—44no—
1250SD16—44no—
1251SD16—82no—
1252SD16—82no—
1253SD16—82no—
1254SD16—82no—
1255SD16—82no—
1256SD16—82no—
1257D8—44no—
1258D8—44no—
1259D8—82no—
1260D8—82no—
1261M16—44no—
1262M16—44no—
1263C2×C8—21no—
1264C2×C8—21no—
1265C2×C8—21no—
1266C2×C8—21no—
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—21no—
1277C2×C8—21no—
1278C2×C8—21no—
1279C2×C8—21no—
1280C2×C8—21no—
1281C2×C8—21no—
1282C2×C8—21no—
1283C2×C8—21no—
1284C2×C8—21no—
1285C2×C8C22×D412yes—
1286C2×C8C22×D412yes—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—22no—
1290C4⋊C4—21no—
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—41no—
1304C4⋊C4—41no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—81no—
1316C4⋊C4—81no—
1317C4⋊C4—81no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4—81no—
1321C4⋊C4—81no—
1322C4⋊C4C22×D412yes—
1323C22⋊C4—24no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—81no—
1355C22⋊C4—81no—
1356C22⋊C4—81no—
1357C22⋊C4—81no—
1358C22⋊C4—81no—
1359C22⋊C4—81no—
1360C22⋊C4—81no—
1361C22⋊C4—81no—
1362C22⋊C4—81no—
1363C22⋊C4—81no—
1364C22⋊C4—81no—
1365C22⋊C4—81no—
1366C22⋊C4—81no—
1367C22⋊C4—81no—
1368C22⋊C4—81no—
1369C22⋊C4—81no—
1370C22⋊C4—81no—
1371C22⋊C4—81no—
1372C22⋊C4—81no—
1373C22⋊C4—81no—
1374C42—21no—
1375C42—21no—
1376C42—21no—
1377C42—21no—
1378C42—21no—
1379C42—21no—
1380C42—21no—
1381C42—21no—
1382C42—42no—
1383C42—42no—
1384C42—42no—
1385C42—81no—
1386C42—81no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—22no—
1406C23—21no—
1407C23—22no—
1408C23—44no—
1409C23—48no—
1410C23—44no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—41no—
1418C23—41no—
1419C23—41no—
1420C23—41no—
1421C23—41no—
1422C23—41no—
1423C23—41no—
1424C23—41no—
1425C23—41no—
1426C23—41no—
1427C23—41no—
1428C23—41no—
1429C23—41no—
1430C23—41no—
1431C23—41no—
1432C23—41no—
1433C23—41no—
1434C23—41no—
1435C23—41no—
1436C23—41no—
1437C23—41no—
1438C23—41no—
1439C23—41no—
1440C23—41no—
1441C23—41no—
1442C23—41no—
1443C23—41no—
1444C23—82no—
1445C23—82no—
1446C23—82no—
1447C23—84no—
1448C23—84no—
1449C23—84no—
1450C23—82no—
1451C23—82no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—162no—
1459C23—162no—
1460C23—162no—
1461C23—162no—
1462C23#53512yes—
1463C23D4212yes—
1464C23C23×D411yescharacteristic
1465Q8—22no—
1466Q8—22no—
1467Q8—22no—
1468Q8—22no—
1469Q8—22no—
1470Q8—22no—
1471Q8—48no—
1472Q8—41no—
1473Q8—41no—
1474Q8—41no—
1475Q8—41no—
1476Q8—41no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482D4—22no—
1483D4—22no—
1484D4—22no—
1485D4—22no—
1486D4—48no—
1487D4—48no—
1488D4—48no—
1489D4—48no—
1490D4—48no—
1491D4—41no—
1492D4—41no—
1493D4—41no—
1494D4—41no—
1495D4—41no—
1496D4—41no—
1497D4—41no—
1498D4—41no—
1499D4—41no—
1500D4—41no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—84no—
1508D4—84no—
1509D4—84no—
1510D4—84no—
1511D4—84no—
1512D4—84no—
1513D4—84no—
1514D4—84no—
1515D4—162no—
1516D4—162no—
1517D4—162no—
1518D4—162no—
1519D4—162no—
1520D4—162no—
1521D4—162no—
1522D4—162no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
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—22no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—48no—
1571C2×C4—48no—
1572C2×C4—48no—
1573C2×C4—48no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—41no—
1581C2×C4—41no—
1582C2×C4—41no—
1583C2×C4—41no—
1584C2×C4—41no—
1585C2×C4—41no—
1586C2×C4—41no—
1587C2×C4—41no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—41no—
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—84no—
1608C2×C4—84no—
1609C2×C4#53512yes—
1610C2×C4D4212yes—
1611C2×C4C23×D411yescharacteristic
1612C2×C4C2×H(5,𝔽2)11yescharacteristic
1613C2×C4C2×H(5,𝔽2)11yescharacteristic
1614C2×C4C2×H(5,𝔽2)11yescharacteristic
1615C2×C4C2×H(5,𝔽2)11yescharacteristic
1616C2×C4C2×H(5,𝔽2)11yescharacteristic
1617C8—22no—
1618C8—22no—
1619C8—41no—
1620C8—41no—
1621C8—41no—
1622C8—41no—
1623C8—41no—
1624C8—41no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—42no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—42no—
1645C22—41no—
1646C22—42no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—88no—
1653C22—816no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—81no—
1667C22—81no—
1668C22—81no—
1669C22—81no—
1670C22—81no—
1671C22—81no—
1672C22—81no—
1673C22—81no—
1674C22—81no—
1675C22—81no—
1676C22—81no—
1677C22—81no—
1678C22—81no—
1679C22—81no—
1680C22—81no—
1681C22—81no—
1682C22—81no—
1683C22—168no—
1684C22C2×#53511yescharacteristic
1685C22C2×D4211yescharacteristic
1686C22#348411yescharacteristic
1687C22#358411yescharacteristic
1688C22#358511yescharacteristic
1689C22#358511yescharacteristic
1690C22#358611yescharacteristic
1691C4—22no—
1692C4—22no—
1693C4—41no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—41no—
1699C4—42no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—41no—
1706C4—81no—
1707C4—81no—
1708C4—81no—
1709C4—81no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4#348411yescharacteristic
1714C4#348411yescharacteristic
1715C4#353211yescharacteristic
1716C4#353211yescharacteristic
1717C2—42no—
1718C2—42no—
1719C2—81no—
1720C2—82no—
1721C2—82no—
1722C2—161no—
1723C2—161no—
1724C2—161no—
1725C2#3764511yescharacteristic
1726C2#6080611yescharacteristic
1727C2#6081611yescharacteristic
1728C2#6106211yescharacteristic
1729C2#6107711yescharacteristic
1730C2#6162811yescharacteristic
1731C2#6165411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3222C2semidirect
2. C2×#3005C2semidirect
3. #37671C2semidirect
4. #35250C2semidirect
5. #32883C2semidirect
6. #31015C2semidirect
7. #30989C2semidirect
8. #30549C2semidirect
9. #30532C2semidirect
10. #30475C2semidirect
11. #30474C2semidirect
12. #30459C2semidirect
13. #30458C2semidirect
14. #29729C2semidirect
15. #29630C2semidirect
16. #27279C2semidirect
17. #27275C2semidirect
18. #25792C2semidirect
19. #25791C2semidirect
20. #25736C2semidirect
21. #25107C2semidirect
22. #25093C2semidirect
23. #24513C2semidirect
24. #24385C2semidirect
25. #24375C2semidirect
26. #24370C2semidirect
27. #24220C2semidirect
28. #23944C2semidirect
29. #23920C2semidirect
30. #22559C2semidirect
31. #22057C2semidirect
33. C22×#137C22semidirect
34. C22×AGL(1,ℤ/8)C22semidirect
35. C2×#541C22semidirect
41. C2×#497C22semidirect
42. C2×#496C22semidirect
43. C2×#495C22semidirect
44. C2×#492C22semidirect
45. C2×#490C22semidirect
46. C2×#488C22semidirect
49. C2×#464C22semidirect
50. C2×#464C22semidirect
51. C2×#464C22semidirect
52. C2×#460C22semidirect
53. C2×#460C22semidirect
54. C2×#460C22semidirect
60. C2×#452C22semidirect
61. C2×#452C22semidirect
62. C2×#452C22semidirect
63. C2×#452C22semidirect
68. C2×#449C22semidirect
69. C2×#449C22semidirect
70. C2×#451C22semidirect
71. C2×#450C22semidirect
72. C2×#450C22semidirect
73. C2×#450C22semidirect
74. C2×#447C22semidirect
75. C2×#433C22semidirect
76. C2×#419C22semidirect
77. C2×#418C22semidirect
86. #2624C22semidirect
87. #2620C22semidirect
90. #2490C22semidirect
95. #2441C22semidirect
100. #2432C22semidirect
105. #2429C22semidirect
106. #2426C22semidirect
107. #2423C22semidirect
112. #2362C22semidirect
113. #2341C22semidirect
114. #2323C22semidirect
118. #2072C22semidirect
119. #2071C22semidirect
120. #2068C22semidirect
121. #2067C22semidirect
122. #2056C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
125. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2042C22semidirect
129. #2042C22semidirect
130. #2042C22semidirect
131. #2041C22semidirect
132. #2041C22semidirect
133. #2041C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2026C22semidirect
137. #2025C22semidirect
138. #2016C22semidirect
139. #2015C22semidirect
140. #2015C22semidirect
141. #2015C22semidirect
142. #2014C22semidirect
143. #2014C22semidirect
144. #2013C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2011C22semidirect
150. #2011C22semidirect
151. #2011C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1973C22semidirect
162. #1970C22semidirect
163. #1969C22semidirect
164. #1959C22semidirect
165. #1957C22semidirect
166. #1936C22semidirect
167. #1935C22semidirect
168. #1934C22semidirect
169. #1933C22semidirect
170. #1928C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1923C22semidirect
175. #1923C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
186. #1874C22semidirect
187. #1872C22semidirect
188. #1872C22semidirect
189. #1852C22semidirect
190. #1851C22semidirect
191. #1851C22semidirect
192. #1818C22semidirect
193. #1798C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1753C22semidirect
203. #1753C22semidirect
204. #1750C22semidirect
334. #452D4semidirect
672. C2×Q16C2×D4semidirect
702. C2×SD16C2×D4semidirect
918. #103C2×D4semidirect
940. #102C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#32222
C2×#30052
#376712
#352502
#328832
#310152
#309892
#305492
#305322
#304752
#304742
#304592
#304582
#297292
#296302
#272792
#272752
#257922
#257912
#257362
#251072
#250932
#245132
#243852
#243752
#243702
#242202
#239442
#239202
#225592
#220572