Finite Group Databasebeta

← #6668509

Subgroups — #6668509

Order 512.

2982 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3309C211yesmaximal, characteristic, complemented
2C2×#3006C211yesmaximal, characteristic, complemented
3#39132C211yesmaximal, characteristic, complemented
4#36429C211yesmaximal, characteristic, complemented
5#32880C211yesmaximal, characteristic, complemented
6#31036C211yesmaximal, characteristic, complemented
7#31030C211yesmaximal, characteristic, complemented
8#30549C211yesmaximal, characteristic, complemented
9#30539C211yesmaximal, characteristic, complemented
10#30505C211yesmaximal, characteristic, complemented
11#30499C211yesmaximal, characteristic, complemented
12#30462C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#29742C211yesmaximal, characteristic, complemented
15#29592C211yesmaximal, characteristic, complemented
16#27249C211yesmaximal, characteristic, complemented
17#27225C211yesmaximal, characteristic, complemented
18#25794C211yesmaximal, characteristic, complemented
19#25768C211yesmaximal, characteristic, complemented
20#25759C211yesmaximal, characteristic, complemented
21#25179C211yesmaximal, characteristic, complemented
22#25165C211yesmaximal, characteristic, complemented
23#24490C211yesmaximal, characteristic, complemented
24#24435C211yesmaximal, characteristic, complemented
25#24425C211yesmaximal, characteristic, complemented
26#24370C211yesmaximal, characteristic, complemented
27#24275C211yesmaximal, characteristic, complemented
28#23975C211yesmaximal, characteristic, complemented
29#23869C211yesmaximal, 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×#553C2211yescharacteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2211yescharacteristic, complemented
38C2×#548C2211yescharacteristic, complemented
39C22×#121C2211yescharacteristic
40#3309—28no—
41C2×#496C2211yescharacteristic, complemented
42C2×#493C2211yescharacteristic, complemented
43C2×#490C2211yescharacteristic, complemented
44C2×#482C2211yescharacteristic, complemented
45C2×#480C2211yescharacteristic, complemented
46C2×#479C2211yescharacteristic, complemented
47C2×#469C2211yescharacteristic, complemented
48C2×#466C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic, complemented
50C2×#465C2211yescharacteristic, complemented
51C2×#460C2211yescharacteristic, complemented
52C2×#460C2211yescharacteristic, complemented
53C2×#459C2211yescharacteristic, complemented
54#3006—28no—
55C2×#449C2211yescharacteristic
56C2×#449C2211yescharacteristic
57C2×#449C2211yescharacteristic
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic, complemented
62C2×#449C2211yescharacteristic, complemented
63C2×#449C2211yescharacteristic, complemented
64C2×#449C2211yescharacteristic, complemented
65C2×#449C2211yescharacteristic, complemented
66C2×#448C2211yescharacteristic
67C2×#448C2211yescharacteristic
68C2×#448C2211yescharacteristic, complemented
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic
71C2×#447C2211yescharacteristic, complemented
72C2×#447C2211yescharacteristic, complemented
73C2×#440C2211yescharacteristic, complemented
74C2×#435C2211yescharacteristic, complemented
75C2×#417C2211yescharacteristic
76C2×#417C2211yescharacteristic
77C2×#416C2211yescharacteristic, complemented
78C2×#407C2211yescharacteristic
79#2847—21no—
80#2847C2211yescharacteristic
81#2847C2211yescharacteristic
82#2714—21no—
83#2714—21no—
84#2673—21no—
85#2673—21no—
86#2617—21no—
87#2541C2211yescharacteristic
88#2541C2211yescharacteristic, complemented
89#2490C2211yescharacteristic
90#2490C2211yescharacteristic, complemented
91#2433—21no—
92#2433—21no—
93#2433C2211yescharacteristic, complemented
94#2433C2211yescharacteristic, complemented
95#2431—21no—
96#2431—21no—
97#2431C2211yescharacteristic
98#2431C2211yescharacteristic, complemented
99#2428C2211yescharacteristic
100#2428C2211yescharacteristic, complemented
101#2414C2211yescharacteristic
102#2414C2211yescharacteristic, 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#2068C2211yescharacteristic, complemented
121#2067C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic, complemented
124#2054C2211yescharacteristic, complemented
125#2054C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2041C2211yescharacteristic, complemented
128#2034C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2033C2211yescharacteristic
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2026C2211yescharacteristic, complemented
137#2025C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2012C2211yescharacteristic, complemented
140#2011C2211yescharacteristic, complemented
141#2011C2211yescharacteristic, complemented
142#2011C2211yescharacteristic, complemented
143#2011C2211yescharacteristic, complemented
144#2011C2211yescharacteristic, complemented
145#2011C2211yescharacteristic, complemented
146#2000C2211yescharacteristic, complemented
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1999C2211yescharacteristic
150#1999C2211yescharacteristic, complemented
151#1999C2211yescharacteristic, complemented
152#1999C2211yescharacteristic, complemented
153#1999C2211yescharacteristic, complemented
154#1999C2211yescharacteristic, complemented
155#1999C2211yescharacteristic, complemented
156#1999C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1982C2211yescharacteristic, 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#1928C2211yescharacteristic, complemented
169#1926C2211yescharacteristic, complemented
170#1925C2211yescharacteristic, complemented
171#1925C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1924C2211yescharacteristic, complemented
175#1923C2211yescharacteristic, complemented
176#1895C2211yescharacteristic, complemented
177#1895C2211yescharacteristic, complemented
178#1880C2211yescharacteristic, complemented
179#1880C2211yescharacteristic, complemented
180#1880C2211yescharacteristic, complemented
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1877C2211yescharacteristic, complemented
184#1875C2211yescharacteristic, complemented
185#1873C2211yescharacteristic, 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
217C22×#41C2311yescharacteristic
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×SD16C2311yescharacteristic
232C22×SD16C2311yescharacteristic
233C22×SD16C2311yescharacteristic
234C22×SD16C2311yescharacteristic
235C22×SD16C2311yescharacteristic
236C22×SD16C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C22×D8C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C23×C8C2311yescharacteristic
249#553—24no—
250#553—42no—
251#550—24no—
252#550—42no—
253#550—42no—
254#550—42no—
255#548—42no—
256#548—42no—
257C2×#127—21no—
258C2×#127—21no—
259C2×#127—21no—
260C2×#127—21no—
261C2×#127C2311yescharacteristic
262C2×#127C2311yescharacteristic
263C2×#127C2311yescharacteristic
264C2×#127C2311yescharacteristic
265C2×#126—21no—
266C2×#125C2311yescharacteristic
267C2×#124—21no—
268C2×#124C2311yescharacteristic
269C2×#123—21no—
270C2×C22⋊Q8—21no—
271C2×C22⋊Q8C2311yescharacteristic
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121—21no—
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—24no—
283C2×#121—42no—
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#121C2311yescharacteristic
290C2×#121C2311yescharacteristic
291C2×#121C2311yescharacteristic
292C2×#121C2311yescharacteristic
293C2×#121C2311yescharacteristic
294C2×#121C2311yescharacteristic
295C2×#121C2311yescharacteristic
296C2×#121C2311yescharacteristic
297C2×#121C2311yescharacteristic
298C2×#121C2311yescharacteristic
299C2×#120—21no—
300C2×#120—21no—
301C2×#120—21no—
302C2×#120—21no—
303C2×#120—21no—
304C2×#120—21no—
305C2×#120—21no—
306C2×#120—21no—
307C2×#120D411yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2311yescharacteristic
311C2×C4×D4—21no—
312C2×C4×D4—21no—
313C2×C4×D4—21no—
314C2×C4×D4—21no—
315C2×C4×D4C2311yescharacteristic
316C2×C4×D4C2311yescharacteristic
317C2×C4×D4C2311yescharacteristic
318C2×C4×D4C2311yescharacteristic
319C2×#117C2311yescharacteristic
320C22×C4⋊C4C2311yescharacteristic
321C22×C22⋊C4—21no—
322#496—42no—
323#493—42no—
324#490—24no—
325#482—24no—
326#480—24no—
327#479—24no—
328#469—24no—
329#466—24no—
330#466—42no—
331#465—42no—
332#460—42no—
333#460—42no—
334#459—24no—
335#449—24no—
336#449—24no—
337#449—24no—
338#449—24no—
339#449—24no—
340#449—24no—
341#449—42no—
342#449—42no—
343#449—42no—
344#449—42no—
345#449—42no—
346#448—24no—
347#448—24no—
348#448—42no—
349#447—24no—
350#447—24no—
351#447—42no—
352#447—42no—
353#440—24no—
354#435—24no—
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×C4⋊C8C2311yescharacteristic
361C2×C4⋊C8C2311yescharacteristic
362C2×C4⋊C8C2311yescharacteristic
363#417—24no—
364#417D418yescomplemented
365#416—24no—
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398C2×#102C2311yescharacteristic
399C2×#102C2311yescharacteristic
400#407—24no—
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408C2×C22⋊C8C2311yescharacteristic
409C2×C22⋊C8C2311yescharacteristic
410C2×C22⋊C8C2311yescharacteristic
411C2×C22⋊C8C2311yescharacteristic
412C2×C22⋊C8C2311yescharacteristic
413C2×C22⋊C8C2311yescharacteristic
414C2×#97C2311yescharacteristic
415C2×#97C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417#397—21no—
418#397—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#392—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#392—21no—
443#392—21no—
444#392—21no—
445#392—21no—
446#392—21no—
447#392—21no—
448#392—21no—
449#391—21no—
450#391—21no—
451#391C2311yescharacteristic
452#391C2311yescharacteristic
453#390—21no—
454#390—21no—
455#390—21no—
456#390—21no—
457#390—21no—
458#390—21no—
459#390—21no—
460#390—21no—
461#390—21no—
462#390—21no—
463#390C2311yescharacteristic
464#390C2311yescharacteristic
465#390C2311yescharacteristic
466#390C2311yescharacteristic
467#390C2311yescharacteristic
468#390C2311yescharacteristic
469#390C2311yescharacteristic
470#390C2311yescharacteristic
471#389C2311yescharacteristic
472#389C2311yescharacteristic
473#388—21no—
474#388—21no—
475#388—21no—
476#388—21no—
477#387—21no—
478#387—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#386D411yescharacteristic
494#386D411yescharacteristic
495#386D411yescharacteristic
496#385—21no—
497#385—21no—
498#385D411yescharacteristic
499#385D411yescharacteristic
500#385D411yescharacteristic
501#380—21no—
502#380—21no—
503#380—21no—
504#380—21no—
505#380C2311yescharacteristic
506#380C2311yescharacteristic
507#380C2311yescharacteristic
508#380C2311yescharacteristic
509#380C2311yescharacteristic
510#380C2311yescharacteristic
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—22no—
556C2×#41—22no—
557C2×#41—22no—
558C2×#41—44no—
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—41no—
571C2×#41—41no—
572C2×#41—44no—
573C2×#41—44no—
574C2×#41—44no—
575C2×#41—44no—
576C2×#41—44no—
577C2×#41—416no—
578C2×#41—416no—
579C2×#41—416no—
580C2×#41—416no—
581C2×#41C2×D414yes—
582C22×Q8—22no—
583C22×Q8—22no—
584C22×Q8—21no—
585C22×Q8—22no—
586C22×Q8—22no—
587C22×Q8—41no—
588C22×Q8—41no—
589C22×Q8C2411yescharacteristic
590C22×Q8C2411yescharacteristic
591C22×D4—21no—
592C22×D4—21no—
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—21no—
607C22×D4—21no—
608C22×D4—21no—
609C22×D4—21no—
610C22×D4—21no—
611C22×D4—21no—
612C22×D4—21no—
613C22×D4—22no—
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—21no—
624C22×D4—22no—
625C22×D4—41no—
626C22×D4—41no—
627C22×D4—41no—
628C22×D4—41no—
629C22×D4—41no—
630C22×D4—41no—
631C22×D4—41no—
632C22×D4—41no—
633C22×D4—44no—
634C22×D4—44no—
635C22×D4—44no—
636C22×D4—44no—
637C22×D4—82no—
638C22×D4—82no—
639C22×D4C2×D411yescharacteristic
640C22×D4C2×D411yescharacteristic
641C22×D4C2×D411yescharacteristic
642C22×D4C2411yescharacteristic
643C22×D4C2411yescharacteristic
644C22×D4C2411yescharacteristic
645C22×D4C2411yescharacteristic
646C22×D4C2411yescharacteristic
647C22×D4C2411yescharacteristic
648C23×C4—21no—
649C23×C4—21no—
650C23×C4—21no—
651C23×C4—21no—
652C23×C4—22no—
653C23×C4—22no—
654C23×C4—21no—
655C23×C4—21no—
656C23×C4—21no—
657C23×C4—21no—
658C23×C4—41no—
659C23×C4—41no—
660C23×C4—41no—
661C23×C4—41no—
662C23×C4—44no—
663C23×C4—44no—
664C23×C4—44no—
665C23×C4C2×D411yescharacteristic
666C23×C4C2×D411yescharacteristic
667C23×C4C2×D411yescharacteristic
668C23×C4C2411yescharacteristic
669C23×C4C2411yescharacteristic
670C23×C4C2411yescharacteristic
671C23×C4C2411yescharacteristic
672AGL(1,ℤ/8)—416no—
673AGL(1,ℤ/8)—416no—
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—22no—
685C2×SD16—22no—
686C2×SD16—22no—
687C2×SD16—22no—
688C2×SD16—41no—
689C2×SD16—41no—
690C2×SD16—41no—
691C2×SD16—41no—
692C2×D8—22no—
693C2×D8—22no—
694C2×D8—22no—
695C2×D8—22no—
696C2×D8—22no—
697C2×D8—22no—
698C2×D8—22no—
699C2×D8—22no—
700C2×D8—22no—
701C2×D8—41no—
702C2×D8—41no—
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×D8—41no—
715C2×D8—41no—
716C2×D8—41no—
717C2×D8—41no—
718C2×D8—41no—
719C2×M16—22no—
720C2×M16—41no—
721C2×M16—41no—
722C2×M16—41no—
723C2×M16—41no—
724C2×M16C2×D414yes—
725C22×C8—22no—
726C22×C8—41no—
727C22×C8—41no—
728C22×C8C2411yescharacteristic
729C22×C8C2411yescharacteristic
730C22×C8C2411yescharacteristic
731C22×C8C2411yescharacteristic
732C22×C8C2411yescharacteristic
733C22×C8C2411yescharacteristic
734C22×C8C2411yescharacteristic
735C22×C8C2411yescharacteristic
736#127—22no—
737#127—22no—
738#127—41no—
739#127—41no—
740#127—41no—
741#127—41no—
742#127—41no—
743#127—41no—
744#127—44no—
745#127—44no—
746#127—82no—
747#127—82no—
748#126—44no—
749#125—22no—
750#125—41no—
751#124—22no—
752#124—41no—
753#124—44no—
754#123—44no—
755C22⋊Q8—22no—
756C22⋊Q8—41no—
757C22⋊Q8—44no—
758#121—22no—
759#121—22no—
760#121—22no—
761#121—22no—
762#121—22no—
763#121—22no—
764#121—22no—
765#121—22no—
766#121—22no—
767#121—22no—
768#121—22no—
769#121—44no—
770#121—44no—
771#121—41no—
772#121—41no—
773#121—41no—
774#121—41no—
775#121—41no—
776#121—41no—
777#121—41no—
778#121—41no—
779#121—41no—
780#121—41no—
781#121—41no—
782#121—44no—
783#121—44no—
784#121—44no—
785#121—44no—
786#121—44no—
787#121—44no—
788#121—41no—
789#121—41no—
790#121—41no—
791#121—41no—
792#121—41no—
793#121—41no—
794#121—41no—
795#121—41no—
796#121—82no—
797#121—82no—
798#120—42no—
799#120—44no—
800#120—44no—
801#120—82no—
802#120—82no—
803#120—82no—
804#120—82no—
805#120—82no—
806#120—82no—
807C4×Q8—22no—
808C4×Q8—22no—
809C4×Q8—22no—
810C4×Q8—41no—
811C4×Q8—41no—
812C4×Q8—41no—
813C4×D4—22no—
814C4×D4—22no—
815C4×D4—22no—
816C4×D4—41no—
817C4×D4—41no—
818C4×D4—41no—
819C4×D4—41no—
820C4×D4—41no—
821C4×D4—44no—
822C4×D4—44no—
823C4×D4—44no—
824C4×D4—44no—
825#117—22no—
826#117—41no—
827C2×C4⋊C4—21no—
828C2×C4⋊C4—22no—
829C2×C4⋊C4—21no—
830C2×C4⋊C4—21no—
831C2×C4⋊C4—21no—
832C2×C4⋊C4—21no—
833C2×C4⋊C4—21no—
834C2×C4⋊C4—21no—
835C2×C4⋊C4—21no—
836C2×C4⋊C4—21no—
837C2×C4⋊C4C2×D411yescharacteristic
838C2×C4⋊C4C2×D414yes—
839C2×C4⋊C4C2×D411yescharacteristic
840C2×C4⋊C4C2×D411yescharacteristic
841C2×C4⋊C4C2411yescharacteristic
842C2×C4⋊C4C2411yescharacteristic
843C2×C4⋊C4C2411yescharacteristic
844C2×C4⋊C4C2411yescharacteristic
845C2×C4⋊C4C2411yescharacteristic
846C2×C4⋊C4C2411yescharacteristic
847C2×C4⋊C4C2411yescharacteristic
848C2×C4⋊C4C2411yescharacteristic
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—21no—
886C2×C22⋊C4—21no—
887C2×C22⋊C4—21no—
888C2×C22⋊C4—21no—
889C2×C22⋊C4—21no—
890C2×C22⋊C4—21no—
891C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
899C2×C22⋊C4C2×D411yescharacteristic
900C2×C22⋊C4C2×D411yescharacteristic
901C2×C22⋊C4C2×D411yescharacteristic
902C2×C22⋊C4C2×D411yescharacteristic
903C2×C22⋊C4C2×D411yescharacteristic
904C2×C42—21no—
905C2×C42—21no—
906C2×C42—21no—
907C2×C42—21no—
908C2×C42—21no—
909C2×C42—21no—
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912C2×C42C2411yescharacteristic
913#107—22no—
914#107—22no—
915#107—41no—
916#106—22no—
917#106—41no—
918C4⋊C8—22no—
919C4⋊C8—41no—
920C4⋊C8—41no—
921#103—22no—
922#103—22no—
923#103—22no—
924#103—22no—
925#103—22no—
926#103—22no—
927#103—41no—
928#103—41no—
929#103C2×D414yes—
930#103C2×D414yes—
931#102—22no—
932#102—22no—
933#102—22no—
934#102—22no—
935#102—22no—
936#102—22no—
937#102—22no—
938#102—22no—
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—
948#102—41no—
949#102—41no—
950#102—41no—
951#102—41no—
952#102—41no—
953#102C2×D414yes—
954#102C2×D414yes—
955C22⋊C8—22no—
956C22⋊C8—22no—
957C22⋊C8—22no—
958C22⋊C8—22no—
959C22⋊C8—22no—
960C22⋊C8—22no—
961C22⋊C8—22no—
962C22⋊C8—41no—
963C22⋊C8—41no—
964C22⋊C8—41no—
965C22⋊C8—41no—
966C22⋊C8—41no—
967C22⋊C8—41no—
968#97—22no—
969#97—41no—
970C4×C8—41no—
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#95—21no—
981#95—21no—
982#95—21no—
983#95—21no—
984#95—21no—
985#95C2×D411yescharacteristic
986#95C2×D411yescharacteristic
987#95C2×D411yescharacteristic
988#95C2×D411yescharacteristic
989#95C2×D411yescharacteristic
990#95C2×D411yescharacteristic
991C24—21no—
992C24—21no—
993C24—22no—
994C24—22no—
995C24—21no—
996C24—21no—
997C24—21no—
998C24—21no—
999C24—41no—
1000C24—41no—
1001C24—41no—
1002C24—41no—
1003C24—41no—
1004C24—42no—
1005C24—42no—
1006C24—42no—
1007C24—42no—
1008C24—42no—
1009C24—42no—
1010C24—42no—
1011C24—42no—
1012C24—81no—
1013C24—81no—
1014C24—81no—
1015C24—81no—
1016C24—81no—
1017C24—81no—
1018C24C22×D411yescharacteristic
1019C24C22×D411yescharacteristic
1020C24C22×D411yescharacteristic
1021C24C22×D411yescharacteristic
1022#41—28no—
1023#41—28no—
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—44no—
1033#41—44no—
1034#41—44no—
1035#41—44no—
1036#41—432no—
1037#41—432no—
1038#41—44no—
1039#41—44no—
1040#41—44no—
1041#41—82no—
1042#41—82no—
1043#41—82no—
1044C2×Q8—24no—
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—44no—
1056C2×Q8—44no—
1057C2×Q8—44no—
1058C2×Q8—44no—
1059C2×Q8C22×D412yes—
1060C2×Q8H(5,𝔽2)12yes—
1061C2×Q8H(5,𝔽2)12yes—
1062C2×Q8H(5,𝔽2)12yes—
1063C2×D4—24no—
1064C2×D4—24no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
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—21no—
1096C2×D4—21no—
1097C2×D4—21no—
1098C2×D4—21no—
1099C2×D4—21no—
1100C2×D4—21no—
1101C2×D4—21no—
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—44no—
1112C2×D4—44no—
1113C2×D4—41no—
1114C2×D4—41no—
1115C2×D4—41no—
1116C2×D4—41no—
1117C2×D4—41no—
1118C2×D4—41no—
1119C2×D4—42no—
1120C2×D4—42no—
1121C2×D4—42no—
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—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—42no—
1137C2×D4—42no—
1138C2×D4—42no—
1139C2×D4—432no—
1140C2×D4—44no—
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—42no—
1150C2×D4—42no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—82no—
1162C2×D4—82no—
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×D4—81no—
1179C2×D4—81no—
1180C2×D4—81no—
1181C2×D4—81no—
1182C2×D4—81no—
1183C2×D4—81no—
1184C2×D4—81no—
1185C2×D4—81no—
1186C2×D4—81no—
1187C2×D4—81no—
1188C2×D4—81no—
1189C2×D4—81no—
1190C2×D4—81no—
1191C2×D4—81no—
1192C2×D4—81no—
1193C2×D4—81no—
1194C2×D4—81no—
1195C2×D4—81no—
1196C2×D4—81no—
1197C2×D4—81no—
1198C2×D4—81no—
1199C2×D4—81no—
1200C2×D4—81no—
1201C2×D4—81no—
1202C2×D4—81no—
1203C2×D4—81no—
1204C2×D4—81no—
1205C2×D4—816no—
1206C2×D4C22×D412yes—
1207C2×D4H(5,𝔽2)12yes—
1208C22×C4—21no—
1209C22×C4—21no—
1210C22×C4—21no—
1211C22×C4—21no—
1212C22×C4—21no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—21no—
1217C22×C4—21no—
1218C22×C4—21no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—21no—
1224C22×C4—21no—
1225C22×C4—21no—
1226C22×C4—21no—
1227C22×C4—21no—
1228C22×C4—21no—
1229C22×C4—21no—
1230C22×C4—21no—
1231C22×C4—21no—
1232C22×C4—21no—
1233C22×C4—21no—
1234C22×C4—21no—
1235C22×C4—21no—
1236C22×C4—21no—
1237C22×C4—21no—
1238C22×C4—21no—
1239C22×C4—21no—
1240C22×C4—21no—
1241C22×C4—21no—
1242C22×C4—21no—
1243C22×C4—21no—
1244C22×C4—21no—
1245C22×C4—21no—
1246C22×C4—21no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—42no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—432no—
1273C22×C4—42no—
1274C22×C4—81no—
1275C22×C4—81no—
1276C22×C4—81no—
1277C22×C4—81no—
1278C22×C4C22×D411yescharacteristic
1279C22×C4C22×D411yescharacteristic
1280C22×C4C22×D411yescharacteristic
1281C22×C4C22×D411yescharacteristic
1282C22×C4C22×D411yescharacteristic
1283C22×C4C22×D411yescharacteristic
1284C22×C4C22×D411yescharacteristic
1285C22×C4C22×D411yescharacteristic
1286C22×C4C22×D411yescharacteristic
1287C22×C4C22×D412yes—
1288C22×C4C22×D411yescharacteristic
1289C22×C4H(5,𝔽2)12yes—
1290C22×C4C2511yescharacteristic
1291SD16—44no—
1292SD16—44no—
1293SD16—44no—
1294SD16—44no—
1295SD16—44no—
1296SD16—82no—
1297D8—44no—
1298D8—44no—
1299D8—44no—
1300D8—44no—
1301D8—82no—
1302D8—82no—
1303D8—82no—
1304D8—82no—
1305D8—82no—
1306M16—44no—
1307M16—44no—
1308C2×C8—21no—
1309C2×C8—21no—
1310C2×C8—21no—
1311C2×C8—21no—
1312C2×C8—21no—
1313C2×C8—21no—
1314C2×C8—21no—
1315C2×C8—21no—
1316C2×C8—21no—
1317C2×C8—21no—
1318C2×C8—21no—
1319C2×C8—21no—
1320C2×C8—21no—
1321C2×C8—21no—
1322C2×C8—21no—
1323C2×C8—21no—
1324C2×C8—21no—
1325C2×C8—21no—
1326C2×C8—21no—
1327C2×C8—21no—
1328C2×C8—21no—
1329C2×C8—21no—
1330C2×C8—82no—
1331C2×C8C22×D412yes—
1332C2×C8C22×D412yes—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—21no—
1338C4⋊C4—21no—
1339C4⋊C4—21no—
1340C4⋊C4—21no—
1341C4⋊C4—21no—
1342C4⋊C4—21no—
1343C4⋊C4—21no—
1344C4⋊C4—21no—
1345C4⋊C4—21no—
1346C4⋊C4—21no—
1347C4⋊C4—21no—
1348C4⋊C4—21no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—81no—
1358C4⋊C4—81no—
1359C4⋊C4C22×D412yes—
1360C4⋊C4C22×D412yes—
1361C22⋊C4—22no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—81no—
1396C22⋊C4—81no—
1397C22⋊C4—81no—
1398C22⋊C4—81no—
1399C22⋊C4—81no—
1400C22⋊C4—81no—
1401C22⋊C4—81no—
1402C22⋊C4—81no—
1403C22⋊C4—81no—
1404C22⋊C4—81no—
1405C22⋊C4—81no—
1406C22⋊C4—81no—
1407C22⋊C4—81no—
1408C22⋊C4—81no—
1409C22⋊C4—81no—
1410C22⋊C4—81no—
1411C22⋊C4—81no—
1412C22⋊C4—81no—
1413C22⋊C4—81no—
1414C22⋊C4—81no—
1415C42—21no—
1416C42—21no—
1417C42—21no—
1418C42—21no—
1419C42—21no—
1420C42—21no—
1421C42—42no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—81no—
1426C42—81no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—44no—
1456C23—44no—
1457C23—48no—
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—41no—
1472C23—41no—
1473C23—41no—
1474C23—41no—
1475C23—41no—
1476C23—41no—
1477C23—41no—
1478C23—41no—
1479C23—41no—
1480C23—41no—
1481C23—41no—
1482C23—41no—
1483C23—41no—
1484C23—41no—
1485C23—41no—
1486C23—41no—
1487C23—41no—
1488C23—41no—
1489C23—41no—
1490C23—41no—
1491C23—41no—
1492C23—41no—
1493C23—41no—
1494C23—41no—
1495C23—41no—
1496C23—41no—
1497C23—41no—
1498C23—82no—
1499C23—82no—
1500C23—82no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23—82no—
1508C23—82no—
1509C23—84no—
1510C23—84no—
1511C23—84no—
1512C23—162no—
1513C23—162no—
1514C23—162no—
1515C23—162no—
1516C23D4212yes—
1517C23#57612yes—
1518C23C23×D411yescharacteristic
1519Q8—22no—
1520Q8—22no—
1521Q8—22no—
1522Q8—22no—
1523Q8—22no—
1524Q8—48no—
1525Q8—41no—
1526Q8—41no—
1527Q8#53514yes—
1528D4—22no—
1529D4—22no—
1530D4—22no—
1531D4—22no—
1532D4—48no—
1533D4—48no—
1534D4—48no—
1535D4—48no—
1536D4—48no—
1537D4—41no—
1538D4—41no—
1539D4—41no—
1540D4—41no—
1541D4—41no—
1542D4—41no—
1543D4—41no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—41no—
1548D4—41no—
1549D4—41no—
1550D4—41no—
1551D4—41no—
1552D4—41no—
1553D4—41no—
1554D4—41no—
1555D4—41no—
1556D4—41no—
1557D4—82no—
1558D4—84no—
1559D4—84no—
1560D4—84no—
1561D4—82no—
1562D4—82no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—84no—
1568D4—84no—
1569D4—84no—
1570D4—162no—
1571D4—162no—
1572D4—162no—
1573D4—162no—
1574D4—162no—
1575D4—162no—
1576D4—162no—
1577D4—162no—
1578D4—162no—
1579D4—162no—
1580D4—162no—
1581D4—162no—
1582D4—162no—
1583D4—162no—
1584D4—162no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—41no—
1636C2×C4—41no—
1637C2×C4—41no—
1638C2×C4—41no—
1639C2×C4—41no—
1640C2×C4—41no—
1641C2×C4—41no—
1642C2×C4—41no—
1643C2×C4—41no—
1644C2×C4—41no—
1645C2×C4—41no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—41no—
1649C2×C4—41no—
1650C2×C4—41no—
1651C2×C4—41no—
1652C2×C4—41no—
1653C2×C4—41no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—41no—
1663C2×C4—41no—
1664C2×C4—41no—
1665C2×C4—41no—
1666C2×C4—41no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—162no—
1670C2×C4D4212yes—
1671C2×C4#57512yes—
1672C2×C4C23×D411yescharacteristic
1673C2×C4C2×H(5,𝔽2)11yescharacteristic
1674C2×C4C2×H(5,𝔽2)11yescharacteristic
1675C2×C4C2×H(5,𝔽2)11yescharacteristic
1676C2×C4C2×H(5,𝔽2)11yescharacteristic
1677C2×C4C2×H(5,𝔽2)11yescharacteristic
1678C8—22no—
1679C8—22no—
1680C8—41no—
1681C8—41no—
1682C8—41no—
1683C8—41no—
1684C8—41no—
1685C8—41no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—42no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—42no—
1707C22—41no—
1708C22—42no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—42no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—42no—
1718C22—41no—
1719C22—41no—
1720C22—88no—
1721C22—816no—
1722C22—81no—
1723C22—81no—
1724C22—81no—
1725C22—81no—
1726C22—81no—
1727C22—81no—
1728C22—81no—
1729C22—81no—
1730C22—81no—
1731C22—81no—
1732C22—81no—
1733C22—81no—
1734C22—81no—
1735C22—81no—
1736C22—81no—
1737C22—81no—
1738C22—81no—
1739C22—81no—
1740C22—81no—
1741C22—81no—
1742C22—81no—
1743C22—81no—
1744C22—81no—
1745C22—81no—
1746C22—81no—
1747C22—81no—
1748C22—81no—
1749C22—81no—
1750C22—81no—
1751C22—81no—
1752C22—81no—
1753C22—81no—
1754C22—81no—
1755C22—81no—
1756C22—81no—
1757C22—81no—
1758C22—168no—
1759C22C2×D4211yescharacteristic
1760C22#348411yescharacteristic
1761C22#348411yescharacteristic
1762C22C2×#57511yescharacteristic
1763C22C2×#57611yescharacteristic
1764C22#358511yescharacteristic
1765C22#358511yescharacteristic
1766C4—22no—
1767C4—24no—
1768C4—22no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—42no—
1773C4—41no—
1774C4—41no—
1775C4—42no—
1776C4—42no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—81no—
1781C4—81no—
1782C4—81no—
1783C4—81no—
1784C4—81no—
1785C4—81no—
1786C4C2×#53511yescharacteristic
1787C4#348411yescharacteristic
1788C4#353211yescharacteristic
1789C4#353211yescharacteristic
1790C2—42no—
1791C2—42no—
1792C2—81no—
1793C2—81no—
1794C2—82no—
1795C2—82no—
1796C2—161no—
1797C2—161no—
1798C2—161no—
1799C2—161no—
1800C2#3764511yescharacteristic
1801C2#6107011yescharacteristic
1802C2#6107211yescharacteristic
1803C2#6157911yescharacteristic
1804C2#6160511yescharacteristic
1805C2#6161711yescharacteristic
1806C2#6165111yescharacteristic
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×#3309C2semidirect
2. C2×#3006C2semidirect
3. #39132C2semidirect
4. #36429C2semidirect
5. #32880C2semidirect
6. #31036C2semidirect
7. #31030C2semidirect
8. #30549C2semidirect
9. #30539C2semidirect
10. #30505C2semidirect
11. #30499C2semidirect
12. #30462C2semidirect
13. #30444C2semidirect
14. #29742C2semidirect
15. #29592C2semidirect
16. #27249C2semidirect
17. #27225C2semidirect
18. #25794C2semidirect
19. #25768C2semidirect
20. #25759C2semidirect
21. #25179C2semidirect
22. #25165C2semidirect
23. #24490C2semidirect
24. #24435C2semidirect
25. #24425C2semidirect
26. #24370C2semidirect
27. #24275C2semidirect
28. #23975C2semidirect
29. #23869C2semidirect
30. #22579C2semidirect
31. #22036C2semidirect
35. C2×#553C22semidirect
37. C2×#550C22semidirect
38. C2×#548C22semidirect
41. C2×#496C22semidirect
42. C2×#493C22semidirect
43. C2×#490C22semidirect
44. C2×#482C22semidirect
45. C2×#480C22semidirect
46. C2×#479C22semidirect
47. C2×#469C22semidirect
48. C2×#466C22semidirect
49. C2×#466C22semidirect
50. C2×#465C22semidirect
51. C2×#460C22semidirect
52. C2×#460C22semidirect
53. C2×#459C22semidirect
61. C2×#449C22semidirect
62. C2×#449C22semidirect
63. C2×#449C22semidirect
64. C2×#449C22semidirect
65. C2×#449C22semidirect
68. C2×#448C22semidirect
71. C2×#447C22semidirect
72. C2×#447C22semidirect
73. C2×#440C22semidirect
74. C2×#435C22semidirect
77. C2×#416C22semidirect
88. #2541C22semidirect
90. #2490C22semidirect
93. #2433C22semidirect
94. #2433C22semidirect
98. #2431C22semidirect
100. #2428C22semidirect
102. #2414C22semidirect
105. #2408C22semidirect
106. #2408C22semidirect
110. #2407C22semidirect
111. #2345C22semidirect
113. #2341C22semidirect
114. Q8×C22⋊C4C22semidirect
118. #2077C22semidirect
119. #2077C22semidirect
120. #2068C22semidirect
121. #2067C22semidirect
122. #2055C22semidirect
123. #2054C22semidirect
124. #2054C22semidirect
125. #2054C22semidirect
126. #2042C22semidirect
127. #2041C22semidirect
128. #2034C22semidirect
129. #2034C22semidirect
132. #2033C22semidirect
133. #2033C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2026C22semidirect
137. #2025C22semidirect
138. #2014C22semidirect
139. #2012C22semidirect
140. #2011C22semidirect
141. #2011C22semidirect
142. #2011C22semidirect
143. #2011C22semidirect
144. #2011C22semidirect
145. #2011C22semidirect
146. #2000C22semidirect
147. #2000C22semidirect
150. #1999C22semidirect
151. #1999C22semidirect
152. #1999C22semidirect
153. #1999C22semidirect
154. #1999C22semidirect
155. #1999C22semidirect
156. #1999C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1982C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1968C22semidirect
164. #1955C22semidirect
165. #1954C22semidirect
166. #1936C22semidirect
167. #1934C22semidirect
168. #1928C22semidirect
169. #1926C22semidirect
170. #1925C22semidirect
171. #1925C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1924C22semidirect
175. #1923C22semidirect
176. #1895C22semidirect
177. #1895C22semidirect
178. #1880C22semidirect
179. #1880C22semidirect
180. #1880C22semidirect
181. #1880C22semidirect
182. #1879C22semidirect
183. #1877C22semidirect
184. #1875C22semidirect
185. #1873C22semidirect
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
364. #417D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33092
C2×#30062
#391322
#364292
#328802
#310362
#310302
#305492
#305392
#305052
#304992
#304622
#304442
#297422
#295922
#272492
#272252
#257942
#257682
#257592
#251792
#251652
#244902
#244352
#244252
#243702
#242752
#239752
#238692
#225792
#220362