Finite Group Databasebeta

← #6668493

Subgroups — #6668493

Order 512.

2891 conjugacy classes of subgroups.

The subgroup lattice has 1738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3316C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#39120C211yesmaximal, characteristic, complemented
4#36428C211yesmaximal, characteristic, complemented
5#32883C211yesmaximal, characteristic, complemented
6#31032C211yesmaximal, characteristic, complemented
7#31026C211yesmaximal, characteristic, complemented
8#30545C211yesmaximal, characteristic, complemented
9#30535C211yesmaximal, characteristic, complemented
10#30503C211yesmaximal, characteristic, complemented
11#30501C211yesmaximal, characteristic, complemented
12#30466C211yesmaximal, characteristic, complemented
13#30448C211yesmaximal, characteristic, complemented
14#29743C211yesmaximal, characteristic, complemented
15#29596C211yesmaximal, characteristic, complemented
16#27250C211yesmaximal, characteristic, complemented
17#27226C211yesmaximal, characteristic, complemented
18#25796C211yesmaximal, characteristic, complemented
19#25766C211yesmaximal, characteristic, complemented
20#25761C211yesmaximal, characteristic, complemented
21#25175C211yesmaximal, characteristic, complemented
22#25169C211yesmaximal, characteristic, complemented
23#24491C211yesmaximal, characteristic, complemented
24#24439C211yesmaximal, characteristic, complemented
25#24429C211yesmaximal, characteristic, complemented
26#24371C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23981C211yesmaximal, characteristic, complemented
29#23866C211yesmaximal, characteristic, complemented
30#22579C211yesmaximal, characteristic, complemented
31#22036C211yesmaximal, characteristic, complemented
32C23×#41C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C22×AGL(1,ℤ/8)C2211yescharacteristic
35C2×#554C2211yescharacteristic, complemented
36C2×D4×Q8C2211yescharacteristic, complemented
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40#3316—28no—
41C2×#497C2211yescharacteristic, complemented
42C2×#495C2211yescharacteristic, complemented
43C2×#489C2211yescharacteristic, complemented
44C2×#481C2211yescharacteristic, complemented
45C2×#483C2211yescharacteristic, complemented
46C2×#475C2211yescharacteristic, complemented
47C2×#470C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic, complemented
49C2×#465C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#464C2211yescharacteristic, complemented
52C2×#464C2211yescharacteristic, complemented
53C2×#464C2211yescharacteristic, complemented
54#3006—28no—
55C2×#452C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#452C2211yescharacteristic, complemented
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#451C2211yescharacteristic, complemented
64C2×#451C2211yescharacteristic, complemented
65C2×#448C2211yescharacteristic
66C2×#448C2211yescharacteristic
67C2×#448C2211yescharacteristic, complemented
68C2×#448C2211yescharacteristic, complemented
69C2×#450C2211yescharacteristic, complemented
70C2×#450C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic
72C2×#447C2211yescharacteristic
73C2×#441C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic
76C2×#417C2211yescharacteristic
77C22×#103C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic
79#2848—21no—
80#2848C2211yescharacteristic
81#2848C2211yescharacteristic
82#2711—21no—
83#2711—21no—
84#2676—21no—
85#2676—21no—
86#2626—21no—
87#2540C2211yescharacteristic
88#2540C2211yescharacteristic, complemented
89#2491C2211yescharacteristic
90#2491C2211yescharacteristic, complemented
91#2435—21no—
92#2435—21no—
93#2435C2211yescharacteristic, complemented
94#2435C2211yescharacteristic, complemented
95#2432—21no—
96#2432—21no—
97#2432C2211yescharacteristic
98#2432C2211yescharacteristic, complemented
99#2426C2211yescharacteristic
100#2426C2211yescharacteristic, complemented
101#2416C2211yescharacteristic
102#2416C2211yescharacteristic, complemented
103#2408—21no—
104#2408—21no—
105#2408C2211yescharacteristic, complemented
106#2408C2211yescharacteristic, complemented
107#2407—21no—
108#2407—21no—
109#2407C2211yescharacteristic
110#2407C2211yescharacteristic, complemented
111#2345C2211yescharacteristic, complemented
112#2341C2211yescharacteristic
113#2341C2211yescharacteristic, complemented
114Q8×C22⋊C4C2211yescharacteristic, complemented
115#2321—21no—
116C4×#120—21no—
117C4×#120C2211yescharacteristic
118#2077C2211yescharacteristic, complemented
119#2077C2211yescharacteristic, complemented
120#2066C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2043C2211yescharacteristic, complemented
127#2042C2211yescharacteristic, complemented
128#2036C2211yescharacteristic, complemented
129#2036C2211yescharacteristic, complemented
130#2035C2211yescharacteristic, complemented
131#2035C2211yescharacteristic, complemented
132#2034C2211yescharacteristic
133#2034C2211yescharacteristic
134#2034C2211yescharacteristic, complemented
135#2034C2211yescharacteristic, complemented
136#2024C2211yescharacteristic, complemented
137#2023C2211yescharacteristic, complemented
138#2015C2211yescharacteristic, complemented
139#2013C2211yescharacteristic, complemented
140#2012C2211yescharacteristic, complemented
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2001C2211yescharacteristic, complemented
147#2001C2211yescharacteristic, complemented
148#2001C2211yescharacteristic, complemented
149#2000C2211yescharacteristic
150#2000C2211yescharacteristic
151#2000C2211yescharacteristic, complemented
152#2000C2211yescharacteristic, complemented
153#2000C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1981C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1968C2211yescharacteristic, complemented
164#1955C2211yescharacteristic, complemented
165#1954C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1934C2211yescharacteristic, complemented
168#1927C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1926C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1894C2211yescharacteristic, complemented
177#1894C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1880C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1874C2211yescharacteristic, complemented
185#1872C2211yescharacteristic, complemented
186#1870C2211yescharacteristic, complemented
187#1869C2211yescharacteristic, complemented
188#1869C2211yescharacteristic, complemented
189#1865C2211yescharacteristic, complemented
190#1863C2211yescharacteristic, complemented
191#1851C2211yescharacteristic, complemented
192#1823C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic, complemented
197#1788C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201#1779C2211yescharacteristic
202#1763C2211yescharacteristic, complemented
203C4×#103C2211yescharacteristic, complemented
204#1753C2211yescharacteristic, 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
217C23×Q8C2311yescharacteristic
218C23×Q8C2311yescharacteristic
219C23×D4—21no—
220C23×D4—21no—
221C23×D4C2311yescharacteristic
222C23×D4C2311yescharacteristic
223C24×C4—21no—
224C24×C4C2311yescharacteristic
225C2×AGL(1,ℤ/8)—24no—
226C2×AGL(1,ℤ/8)—24no—
227C2×AGL(1,ℤ/8)—42no—
228C2×AGL(1,ℤ/8)—42no—
229C2×AGL(1,ℤ/8)—42no—
230C2×AGL(1,ℤ/8)—42no—
231C22×Q16C2311yescharacteristic
232C22×Q16C2311yescharacteristic
233C22×Q16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×SD16C2311yescharacteristic
238C22×SD16C2311yescharacteristic
239C22×SD16C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#554—24no—
250#554—42no—
251D4×Q8—42no—
252D4×Q8—42no—
253#548—24no—
254#548—42no—
255#548—42no—
256#548—42no—
257C2×C4⋊Q8—21no—
258C2×C4⋊Q8C2311yescharacteristic
259C2×C4⋊Q8C2311yescharacteristic
260C2×#125—21no—
261C2×#124—21no—
262C2×#124—21no—
263C2×#124—21no—
264C2×#124—21no—
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×C22⋊Q8—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8—21no—
272C2×C22⋊Q8—21no—
273C2×C22⋊Q8—21no—
274C2×C22⋊Q8—21no—
275C2×C22⋊Q8C2311yescharacteristic
276C2×C22⋊Q8C2311yescharacteristic
277C2×C22⋊Q8C2311yescharacteristic
278C2×C22⋊Q8C2311yescharacteristic
279C2×C22⋊Q8C2311yescharacteristic
280C2×C22⋊Q8C2311yescharacteristic
281C2×C22⋊Q8C2311yescharacteristic
282C2×C22⋊Q8C2311yescharacteristic
283C2×#121—21no—
284C2×#121—21no—
285C2×#121—21no—
286C2×#121—21no—
287C2×#121—21no—
288C2×#121—21no—
289C2×#121—24no—
290C2×#121—42no—
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#120—21no—
300C2×#120—21no—
301C2×#120D411yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×D4—21no—
307C2×C4×D4—21no—
308C2×C4×D4—21no—
309C2×C4×D4—21no—
310C2×C4×D4C2311yescharacteristic
311C2×C4×D4C2311yescharacteristic
312C2×C4×D4C2311yescharacteristic
313C22×C4⋊C4C2311yescharacteristic
314C22×C4⋊C4C2311yescharacteristic
315C22×C22⋊C4—21no—
316#497—42no—
317#495—42no—
318#489—24no—
319#483—24no—
320#481—24no—
321#475—24no—
322#470—24no—
323#466—42no—
324#465—24no—
325#465—42no—
326#464—24no—
327#464—42no—
328#464—42no—
329#452—24no—
330#452—42no—
331#452—42no—
332#452—42no—
333#451—24no—
334#451—42no—
335#450—42no—
336#450—42no—
337#449—24no—
338#449—24no—
339#449—24no—
340#449—24no—
341#448—24no—
342#448—24no—
343#448—42no—
344#448—42no—
345#447—24no—
346#447—24no—
347#441—24no—
348#435—24no—
349C2×#107C2311yescharacteristic
350C2×#106C2311yescharacteristic
351C2×#106C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357#417—24no—
358#417D418yescomplemented
359C2×#103—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×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
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
394#407—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×C4×C8C2311yescharacteristic
411#399—21no—
412#399—21no—
413#396—21no—
414#396—21no—
415#396—21no—
416#396—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#394—21no—
430#394—21no—
431#394—21no—
432#394—21no—
433#394—21no—
434#394—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#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#390—21no—
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#390C2311yescharacteristic
462#390C2311yescharacteristic
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#389C2311yescharacteristic
466#389C2311yescharacteristic
467#388—21no—
468#388—21no—
469#388—21no—
470#388—21no—
471#387—21no—
472#387—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386D411yescharacteristic
478#386D411yescharacteristic
479#386D411yescharacteristic
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#385—21no—
491#385—21no—
492#385D411yescharacteristic
493#385D411yescharacteristic
494#385D411yescharacteristic
495#380—21no—
496#380—21no—
497#380—21no—
498#380—21no—
499#380C2311yescharacteristic
500#380C2311yescharacteristic
501#380C2311yescharacteristic
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#380C2311yescharacteristic
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379—21no—
510#379—21no—
511#379—21no—
512#379—21no—
513#379D411yescharacteristic
514C4×C4⋊C4C2311yescharacteristic
515C4×C4⋊C4C2311yescharacteristic
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—44no—
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—44no—
567C2×#41—44no—
568C2×#41—44no—
569C2×#41—44no—
570C2×#41—44no—
571C2×#41—416no—
572C2×#41—416no—
573C2×#41—416no—
574C2×#41—416no—
575C2×#41C2×D414yes—
576C22×Q8—22no—
577C22×Q8—22no—
578C22×Q8—21no—
579C22×Q8—21no—
580C22×Q8—21no—
581C22×Q8—22no—
582C22×Q8—22no—
583C22×Q8—22no—
584C22×Q8—22no—
585C22×Q8—22no—
586C22×Q8—41no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8—41no—
590C22×Q8—41no—
591C22×Q8C2411yescharacteristic
592C22×Q8C2411yescharacteristic
593C22×Q8C2411yescharacteristic
594C22×Q8C2411yescharacteristic
595C22×D4—21no—
596C22×D4—21no—
597C22×D4—22no—
598C22×D4—22no—
599C22×D4—21no—
600C22×D4—21no—
601C22×D4—21no—
602C22×D4—21no—
603C22×D4—21no—
604C22×D4—21no—
605C22×D4—21no—
606C22×D4—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—22no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—22no—
613C22×D4—41no—
614C22×D4—41no—
615C22×D4—41no—
616C22×D4—41no—
617C22×D4—41no—
618C22×D4—41no—
619C22×D4—41no—
620C22×D4—41no—
621C22×D4—44no—
622C22×D4—44no—
623C22×D4—44no—
624C22×D4—44no—
625C22×D4—82no—
626C22×D4—82no—
627C22×D4C2×D411yescharacteristic
628C22×D4C2×D411yescharacteristic
629C22×D4C2×D411yescharacteristic
630C22×D4C2411yescharacteristic
631C22×D4C2411yescharacteristic
632C22×D4C2411yescharacteristic
633C22×D4C2411yescharacteristic
634C23×C4—21no—
635C23×C4—21no—
636C23×C4—21no—
637C23×C4—21no—
638C23×C4—22no—
639C23×C4—22no—
640C23×C4—21no—
641C23×C4—21no—
642C23×C4—21no—
643C23×C4—21no—
644C23×C4—41no—
645C23×C4—41no—
646C23×C4—41no—
647C23×C4—41no—
648C23×C4—44no—
649C23×C4—44no—
650C23×C4—44no—
651C23×C4C2×D411yescharacteristic
652C23×C4C2×D411yescharacteristic
653C23×C4C2×D411yescharacteristic
654C23×C4C2411yescharacteristic
655C23×C4C2411yescharacteristic
656C23×C4C2411yescharacteristic
657C23×C4C2411yescharacteristic
658AGL(1,ℤ/8)—416no—
659AGL(1,ℤ/8)—416no—
660C2×Q16—22no—
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×SD16—22no—
670C2×SD16—22no—
671C2×SD16—22no—
672C2×SD16—22no—
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—41no—
682C2×SD16—41no—
683C2×SD16—41no—
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×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—41no—
700C2×D8—41no—
701C2×D8—41no—
702C2×D8—41no—
703C2×D8—41no—
704C2×D8—41no—
705C2×M16—22no—
706C2×M16—41no—
707C2×M16—41no—
708C2×M16—41no—
709C2×M16—41no—
710C2×M16C2×D414yes—
711C22×C8—22no—
712C22×C8—41no—
713C22×C8—41no—
714C22×C8C2411yescharacteristic
715C22×C8C2411yescharacteristic
716C22×C8C2411yescharacteristic
717C22×C8C2411yescharacteristic
718C22×C8C2411yescharacteristic
719C22×C8C2411yescharacteristic
720C22×C8C2411yescharacteristic
721C22×C8C2411yescharacteristic
722C4⋊Q8—22no—
723C4⋊Q8—22no—
724C4⋊Q8—41no—
725C4⋊Q8—41no—
726C4⋊Q8—44no—
727#125—44no—
728#124—22no—
729#124—22no—
730#124—41no—
731#124—41no—
732#124—41no—
733#124—41no—
734#124—41no—
735#124—41no—
736#124—44no—
737#124—44no—
738#124—82no—
739#124—82no—
740C22⋊Q8—22no—
741C22⋊Q8—22no—
742C22⋊Q8—22no—
743C22⋊Q8—22no—
744C22⋊Q8—22no—
745C22⋊Q8—22no—
746C22⋊Q8—44no—
747C22⋊Q8—44no—
748C22⋊Q8—41no—
749C22⋊Q8—41no—
750C22⋊Q8—41no—
751C22⋊Q8—41no—
752C22⋊Q8—41no—
753C22⋊Q8—41no—
754C22⋊Q8—44no—
755C22⋊Q8—44no—
756C22⋊Q8—44no—
757C22⋊Q8—44no—
758C22⋊Q8—41no—
759C22⋊Q8—41no—
760C22⋊Q8—41no—
761C22⋊Q8—41no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
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—44no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—82no—
783#121—82no—
784#120—42no—
785#120—44no—
786#120—44no—
787C4×Q8—22no—
788C4×Q8—22no—
789C4×Q8—22no—
790C4×Q8—22no—
791C4×Q8—41no—
792C4×Q8—41no—
793C4×Q8—41no—
794C4×Q8—41no—
795C4×D4—22no—
796C4×D4—22no—
797C4×D4—41no—
798C4×D4—41no—
799C4×D4—41no—
800C4×D4—41no—
801C4×D4—44no—
802C4×D4—44no—
803C4×D4—44no—
804C4×D4—44no—
805C2×C4⋊C4—21no—
806C2×C4⋊C4—22no—
807C2×C4⋊C4—22no—
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—21no—
826C2×C4⋊C4—41no—
827C2×C4⋊C4C2×D411yescharacteristic
828C2×C4⋊C4C2×D414yes—
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×C4⋊C4C2411yescharacteristic
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—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—21no—
885C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
898C2×C42—21no—
899C2×C42—21no—
900C2×C42—21no—
901C2×C42—21no—
902C2×C42—21no—
903C2×C42—21no—
904C2×C42C2411yescharacteristic
905C2×C42C2411yescharacteristic
906C2×C42C2411yescharacteristic
907#107—41no—
908#106—22no—
909#106—22no—
910#106—22no—
911#106—41no—
912C4⋊C8—22no—
913C4⋊C8—41no—
914C4⋊C8—41no—
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—22no—
924#103—22no—
925#103—41no—
926#103—41no—
927#103—41no—
928#103—41no—
929#103—41no—
930#103—41no—
931#103C2×D414yes—
932#103C2×D414yes—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
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#102C2×D414yes—
948#102C2×D414yes—
949C22⋊C8—22no—
950C22⋊C8—22no—
951C22⋊C8—22no—
952C22⋊C8—22no—
953C22⋊C8—22no—
954C22⋊C8—22no—
955C22⋊C8—22no—
956C22⋊C8—41no—
957C22⋊C8—41no—
958C22⋊C8—41no—
959C22⋊C8—41no—
960C22⋊C8—41no—
961C22⋊C8—41no—
962#97—22no—
963#97—41no—
964C4×C8—41no—
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#95C2×D411yescharacteristic
980#95C2×D411yescharacteristic
981#95C2×D411yescharacteristic
982#95C2×D411yescharacteristic
983#95C2×D411yescharacteristic
984#95C2×D411yescharacteristic
985C24—21no—
986C24—21no—
987C24—22no—
988C24—22no—
989C24—21no—
990C24—21no—
991C24—41no—
992C24—41no—
993C24—41no—
994C24—41no—
995C24—41no—
996C24—42no—
997C24—42no—
998C24—42no—
999C24—42no—
1000C24—42no—
1001C24—42no—
1002C24—42no—
1003C24—42no—
1004C24—81no—
1005C24—81no—
1006C24—81no—
1007C24—81no—
1008C24—81no—
1009C24—81no—
1010C24C22×D411yescharacteristic
1011C24C22×D411yescharacteristic
1012C24C22×D411yescharacteristic
1013C24C22×D411yescharacteristic
1014#41—28no—
1015#41—28no—
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—44no—
1028#41—432no—
1029#41—432no—
1030#41—44no—
1031#41—44no—
1032C2×Q8—24no—
1033C2×Q8—21no—
1034C2×Q8—21no—
1035C2×Q8—21no—
1036C2×Q8—21no—
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—42no—
1054C2×Q8—42no—
1055C2×Q8—42no—
1056C2×Q8—42no—
1057C2×Q8—42no—
1058C2×Q8—42no—
1059C2×Q8—44no—
1060C2×Q8—44no—
1061C2×Q8—44no—
1062C2×Q8—44no—
1063C2×Q8—44no—
1064C2×Q8—81no—
1065C2×Q8—81no—
1066C2×Q8—82no—
1067C2×Q8—82no—
1068C2×Q8—82no—
1069C2×Q8C22×D412yes—
1070C2×Q8H(5,𝔽2)12yes—
1071C2×Q8H(5,𝔽2)12yes—
1072C2×Q8H(5,𝔽2)12yes—
1073C2×D4—24no—
1074C2×D4—22no—
1075C2×D4—24no—
1076C2×D4—22no—
1077C2×D4—22no—
1078C2×D4—22no—
1079C2×D4—22no—
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—21no—
1100C2×D4—21no—
1101C2×D4—21no—
1102C2×D4—41no—
1103C2×D4—41no—
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—44no—
1114C2×D4—44no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—42no—
1118C2×D4—42no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—44no—
1122C2×D4—44no—
1123C2×D4—44no—
1124C2×D4—42no—
1125C2×D4—42no—
1126C2×D4—42no—
1127C2×D4—432no—
1128C2×D4—44no—
1129C2×D4—42no—
1130C2×D4—42no—
1131C2×D4—42no—
1132C2×D4—42no—
1133C2×D4—42no—
1134C2×D4—42no—
1135C2×D4—42no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—42no—
1140C2×D4—42no—
1141C2×D4—82no—
1142C2×D4—82no—
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—816no—
1156C2×D4C22×D412yes—
1157C2×D4H(5,𝔽2)12yes—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—22no—
1166C22×C4—21no—
1167C22×C4—21no—
1168C22×C4—21no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—21no—
1174C22×C4—21no—
1175C22×C4—21no—
1176C22×C4—21no—
1177C22×C4—21no—
1178C22×C4—21no—
1179C22×C4—21no—
1180C22×C4—21no—
1181C22×C4—21no—
1182C22×C4—21no—
1183C22×C4—21no—
1184C22×C4—21no—
1185C22×C4—21no—
1186C22×C4—21no—
1187C22×C4—21no—
1188C22×C4—21no—
1189C22×C4—21no—
1190C22×C4—21no—
1191C22×C4—21no—
1192C22×C4—21no—
1193C22×C4—21no—
1194C22×C4—21no—
1195C22×C4—21no—
1196C22×C4—21no—
1197C22×C4—21no—
1198C22×C4—21no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—42no—
1206C22×C4—42no—
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—44no—
1216C22×C4—44no—
1217C22×C4—44no—
1218C22×C4—44no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—432no—
1225C22×C4—42no—
1226C22×C4—81no—
1227C22×C4—81no—
1228C22×C4—81no—
1229C22×C4—81no—
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×D411yescharacteristic
1239C22×C4C22×D411yescharacteristic
1240C22×C4C22×D412yes—
1241C22×C4H(5,𝔽2)12yes—
1242C22×C4C2511yescharacteristic
1243Q16—44no—
1244Q16—82no—
1245Q16—82no—
1246SD16—44no—
1247SD16—44no—
1248SD16—44no—
1249SD16—44no—
1250SD16—82no—
1251SD16—82no—
1252SD16—82no—
1253SD16—82no—
1254D8—44no—
1255D8—44no—
1256D8—44no—
1257D8—44no—
1258M16—44no—
1259M16—44no—
1260C2×C8—21no—
1261C2×C8—21no—
1262C2×C8—21no—
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—82no—
1283C2×C8C22×D412yes—
1284C2×C8C22×D412yes—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—21no—
1288C4⋊C4—21no—
1289C4⋊C4—21no—
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—41no—
1302C4⋊C4—41no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
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—42no—
1316C4⋊C4—42no—
1317C4⋊C4—81no—
1318C4⋊C4—81no—
1319C4⋊C4—81no—
1320C4⋊C4—81no—
1321C4⋊C4C22×D412yes—
1322C4⋊C4C22×D412yes—
1323C22⋊C4—22no—
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—42no—
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—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
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—
1374C22⋊C4—81no—
1375C22⋊C4—81no—
1376C22⋊C4—81no—
1377C22⋊C4—81no—
1378C22⋊C4—81no—
1379C22⋊C4—81no—
1380C22⋊C4—81no—
1381C42—21no—
1382C42—21no—
1383C42—21no—
1384C42—21no—
1385C42—21no—
1386C42—21no—
1387C42—42no—
1388C42—42no—
1389C42—42no—
1390C42—42no—
1391C42—81no—
1392C42—81no—
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—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—44no—
1421C23—44no—
1422C23—48no—
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—41no—
1445C23—41no—
1446C23—41no—
1447C23—41no—
1448C23—41no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23—84no—
1453C23—84no—
1454C23—84no—
1455C23—84no—
1456C23—84no—
1457C23—84no—
1458C23—82no—
1459C23—82no—
1460C23—84no—
1461C23—84no—
1462C23—84no—
1463C23—162no—
1464C23—162no—
1465C23—162no—
1466C23—162no—
1467C23D4212yes—
1468C23#57512yes—
1469C23#57712yes—
1470C23C23×D411yescharacteristic
1471Q8—22no—
1472Q8—22no—
1473Q8—22no—
1474Q8—22no—
1475Q8—22no—
1476Q8—48no—
1477Q8—41no—
1478Q8—41no—
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—41no—
1484Q8—41no—
1485Q8—41no—
1486Q8—41no—
1487Q8—84no—
1488Q8—162no—
1489Q8#53514yes—
1490D4—22no—
1491D4—22no—
1492D4—22no—
1493D4—22no—
1494D4—48no—
1495D4—48no—
1496D4—44no—
1497D4—44no—
1498D4—48no—
1499D4—48no—
1500D4—48no—
1501D4—41no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—41no—
1506D4—41no—
1507D4—41no—
1508D4—41no—
1509D4—41no—
1510D4—41no—
1511D4—41no—
1512D4—41no—
1513D4—84no—
1514D4—82no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—84no—
1521D4—162no—
1522D4—162no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—48no—
1565C2×C4—44no—
1566C2×C4—48no—
1567C2×C4—48no—
1568C2×C4—44no—
1569C2×C4—48no—
1570C2×C4—41no—
1571C2×C4—41no—
1572C2×C4—41no—
1573C2×C4—41no—
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—41no—
1608C2×C4—41no—
1609C2×C4—41no—
1610C2×C4—41no—
1611C2×C4—41no—
1612C2×C4—84no—
1613C2×C4—84no—
1614C2×C4—162no—
1615C2×C4D4212yes—
1616C2×C4C23×D411yescharacteristic
1617C2×C4C2×H(5,𝔽2)11yescharacteristic
1618C2×C4C2×H(5,𝔽2)11yescharacteristic
1619C2×C4C2×H(5,𝔽2)11yescharacteristic
1620C2×C4C2×H(5,𝔽2)11yescharacteristic
1621C2×C4C2×H(5,𝔽2)11yescharacteristic
1622C8—22no—
1623C8—22no—
1624C8—41no—
1625C8—41no—
1626C8—41no—
1627C8—41no—
1628C8—41no—
1629C8—41no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—42no—
1652C22—42no—
1653C22—41no—
1654C22—41no—
1655C22—42no—
1656C22—42no—
1657C22—41no—
1658C22—41no—
1659C22—42no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—41no—
1664C22—88no—
1665C22—816no—
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—81no—
1684C22—81no—
1685C22—81no—
1686C22—81no—
1687C22—81no—
1688C22—168no—
1689C22C2×D4211yescharacteristic
1690C22#348411yescharacteristic
1691C22#348411yescharacteristic
1692C22C2×#57511yescharacteristic
1693C22C2×#57711yescharacteristic
1694C22#358511yescharacteristic
1695C22#358611yescharacteristic
1696C4—22no—
1697C4—24no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—81no—
1711C4—81no—
1712C4—81no—
1713C4—81no—
1714C4—81no—
1715C4—81no—
1716C4—81no—
1717C4—81no—
1718C4C2×#53511yescharacteristic
1719C4#348411yescharacteristic
1720C4#353211yescharacteristic
1721C4#353211yescharacteristic
1722C2—42no—
1723C2—42no—
1724C2—42no—
1725C2—81no—
1726C2—82no—
1727C2—82no—
1728C2—161no—
1729C2—161no—
1730C2#3764511yescharacteristic
1731C2#6106811yescharacteristic
1732C2#6107111yescharacteristic
1733C2#6157911yescharacteristic
1734C2#6159411yescharacteristic
1735C2#6162011yescharacteristic
1736C2#6165011yescharacteristic
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×#3316C2semidirect
2. C2×#3006C2semidirect
3. #39120C2semidirect
4. #36428C2semidirect
5. #32883C2semidirect
6. #31032C2semidirect
7. #31026C2semidirect
8. #30545C2semidirect
9. #30535C2semidirect
10. #30503C2semidirect
11. #30501C2semidirect
12. #30466C2semidirect
13. #30448C2semidirect
14. #29743C2semidirect
15. #29596C2semidirect
16. #27250C2semidirect
17. #27226C2semidirect
18. #25796C2semidirect
19. #25766C2semidirect
20. #25761C2semidirect
21. #25175C2semidirect
22. #25169C2semidirect
23. #24491C2semidirect
24. #24439C2semidirect
25. #24429C2semidirect
26. #24371C2semidirect
27. #24275C2semidirect
28. #23981C2semidirect
29. #23866C2semidirect
30. #22579C2semidirect
31. #22036C2semidirect
35. C2×#554C22semidirect
36. C2×D4×Q8C22semidirect
38. C2×#548C22semidirect
41. C2×#497C22semidirect
42. C2×#495C22semidirect
43. C2×#489C22semidirect
44. C2×#481C22semidirect
45. C2×#483C22semidirect
46. C2×#475C22semidirect
47. C2×#470C22semidirect
48. C2×#466C22semidirect
49. C2×#465C22semidirect
50. C2×#465C22semidirect
51. C2×#464C22semidirect
52. C2×#464C22semidirect
53. C2×#464C22semidirect
57. C2×#452C22semidirect
58. C2×#452C22semidirect
63. C2×#451C22semidirect
64. C2×#451C22semidirect
67. C2×#448C22semidirect
68. C2×#448C22semidirect
69. C2×#450C22semidirect
70. C2×#450C22semidirect
73. C2×#441C22semidirect
74. C2×#435C22semidirect
77. C22×#103C22semidirect
88. #2540C22semidirect
90. #2491C22semidirect
93. #2435C22semidirect
94. #2435C22semidirect
98. #2432C22semidirect
100. #2426C22semidirect
102. #2416C22semidirect
105. #2408C22semidirect
106. #2408C22semidirect
110. #2407C22semidirect
111. #2345C22semidirect
113. #2341C22semidirect
114. Q8×C22⋊C4C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2066C22semidirect
121. #2065C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2043C22semidirect
127. #2042C22semidirect
128. #2036C22semidirect
129. #2036C22semidirect
130. #2035C22semidirect
131. #2035C22semidirect
134. #2034C22semidirect
135. #2034C22semidirect
136. #2024C22semidirect
137. #2023C22semidirect
138. #2015C22semidirect
139. #2013C22semidirect
140. #2012C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2001C22semidirect
147. #2001C22semidirect
148. #2001C22semidirect
151. #2000C22semidirect
152. #2000C22semidirect
153. #2000C22semidirect
154. #2000C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1981C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1968C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1927C22semidirect
169. #1926C22semidirect
170. #1926C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1894C22semidirect
177. #1894C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1880C22semidirect
183. #1878C22semidirect
184. #1874C22semidirect
185. #1872C22semidirect
186. #1870C22semidirect
187. #1869C22semidirect
188. #1869C22semidirect
189. #1865C22semidirect
190. #1863C22semidirect
191. #1851C22semidirect
192. #1823C22semidirect
193. #1809C22semidirect
196. #1788C22semidirect
197. #1788C22semidirect
198. #1787C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
202. #1763C22semidirect
203. C4×#103C22semidirect
204. #1753C22semidirect
358. #417D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33162
C2×#30062
#391202
#364282
#328832
#310322
#310262
#305452
#305352
#305032
#305012
#304662
#304482
#297432
#295962
#272502
#272262
#257962
#257662
#257612
#251752
#251692
#244912
#244392
#244292
#243712
#242752
#239812
#238662
#225792
#220362