Finite Group Databasebeta

← #6591571

Subgroups — #6591571

Order 512.

4203 conjugacy classes of subgroups.

The subgroup lattice has 1908 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3487C211yesmaximal, characteristic, complemented
2C2×#3326C211yesmaximal, characteristic, complemented
3C2×#3309C211yesmaximal, characteristic, complemented
4#37836C211yesmaximal, characteristic, complemented
5#32967C211yesmaximal, characteristic, complemented
6#32885C211yesmaximal, characteristic, complemented
7#32880C211yesmaximal, characteristic, complemented
8#25893C211yesmaximal, characteristic, complemented
9#25889C211yesmaximal, characteristic, complemented
10#25867C211yesmaximal, characteristic, complemented
11#24451C211yesmaximal, characteristic, complemented
12#24451C211yesmaximal, characteristic, complemented
13#24441C211yesmaximal, characteristic, complemented
14#24439C211yesmaximal, characteristic, complemented
15#24390C211yesmaximal, characteristic, complemented
16#24388C211yesmaximal, characteristic, complemented
17#24256C211yesmaximal, characteristic, complemented
18#24238C211yesmaximal, characteristic, complemented
19#24218C211yesmaximal, characteristic, complemented
20#24052C211yesmaximal, characteristic, complemented
21#24047C211yesmaximal, characteristic, complemented
22#24046C211yesmaximal, characteristic, complemented
23#24034C211yesmaximal, characteristic, complemented
24#24015C211yesmaximal, characteristic, complemented
25#24004C211yesmaximal, characteristic, complemented
26#22432C211yesmaximal, characteristic, complemented
27#22421C211yesmaximal, characteristic, complemented
28#22400C211yesmaximal, characteristic, complemented
29#21462C211yesmaximal, characteristic, complemented
30#20603C211yesmaximal, characteristic, complemented
31#20601C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3487—28no—
35#3487—28no—
36C2×#553C2211yescharacteristic, complemented
37C2×#550—21no—
38C2×#550—21no—
39C2×#550C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#548—21no—
44C2×#548—21no—
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic
47C2×#548C2211yescharacteristic
48C2×#548C2211yescharacteristic
49C2×#535—21no—
50C2×#535—21no—
51C2×#535C2211yescharacteristic
52C2×#535C2211yescharacteristic
53C2×#525—21no—
54C2×#525—21no—
55C2×#525C2211yescharacteristic
56C2×#525C2211yescharacteristic
57C2×#519C2211yescharacteristic
58#3326—28no—
59#3309—28no—
60C2×#490C2211yescharacteristic, complemented
61C2×#488C2211yescharacteristic, complemented
62C2×#482C2211yescharacteristic, complemented
63C2×#482C2211yescharacteristic, complemented
64C2×#483C2211yescharacteristic, complemented
65C2×#480C2211yescharacteristic, complemented
66C2×#479C2211yescharacteristic, complemented
67C2×#479C2211yescharacteristic, complemented
68C2×#469C2211yescharacteristic, complemented
69C2×#469C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#466C2211yescharacteristic, complemented
72C2×#463C2211yescharacteristic, complemented
73C2×#459C2211yescharacteristic, complemented
74C2×#449C2211yescharacteristic
75C2×#449C2211yescharacteristic
76C2×#449C2211yescharacteristic
77C2×#449C2211yescharacteristic
78C2×#449C2211yescharacteristic
79C2×#449C2211yescharacteristic, complemented
80C2×#449C2211yescharacteristic, complemented
81C2×#448C2211yescharacteristic
82C2×#448C2211yescharacteristic, complemented
83C2×#448C2211yescharacteristic, complemented
84C2×#447C2211yescharacteristic
85C2×#440C2211yescharacteristic, complemented
86C2×C4×SD16C2211yescharacteristic, complemented
87C2×#436C2211yescharacteristic, complemented
88C2×#435C2211yescharacteristic, complemented
89C2×#417C2211yescharacteristic
90C2×#417C2211yescharacteristic
91C2×#417C2211yescharacteristic
92C2×#417C2211yescharacteristic
93C2×#417C2211yescharacteristic, complemented
94C2×#419C2211yescharacteristic, complemented
95C2×#416C2211yescharacteristic, complemented
96C22×#103C2211yescharacteristic, complemented
97C2×#408C2211yescharacteristic
98C2×#407C2211yescharacteristic
99#2847C2211yescharacteristic
100#2705—21no—
101#2702—21no—
102#2693—21no—
103#2671—21no—
104#2629C2211yescharacteristic
105#2615C2211yescharacteristic
106#2562C2211yescharacteristic, complemented
107#2543—21no—
108#2537C2211yescharacteristic, complemented
109#2487C2211yescharacteristic, complemented
110#2485C2211yescharacteristic, complemented
111#2450—21no—
112#2424—21no—
113#2424—21no—
114#2416C2211yescharacteristic, complemented
115#2416C2211yescharacteristic, complemented
116D4×C4⋊C4C2211yescharacteristic, complemented
117#2324C2211yescharacteristic
118#2311C2211yescharacteristic
119C2×#380C2211yescharacteristic
120#2042C2211yescharacteristic, complemented
121#2042C2211yescharacteristic, complemented
122#2042C2211yescharacteristic, complemented
123#2041C2211yescharacteristic, complemented
124#2041C2211yescharacteristic, complemented
125#2041C2211yescharacteristic, complemented
126#2036C2211yescharacteristic, complemented
127#2036C2211yescharacteristic, complemented
128#2035C2211yescharacteristic, complemented
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2034C2211yescharacteristic, complemented
132#2034C2211yescharacteristic, complemented
133#2034C2211yescharacteristic, complemented
134#2033C2211yescharacteristic, complemented
135#2033C2211yescharacteristic, complemented
136#2033C2211yescharacteristic, complemented
137#2033C2211yescharacteristic, complemented
138#2012C2211yescharacteristic, complemented
139#2011C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1999C2211yescharacteristic, complemented
144#1983C2211yescharacteristic, complemented
145#1982C2211yescharacteristic, complemented
146#1959C2211yescharacteristic, complemented
147#1957C2211yescharacteristic, complemented
148#1955C2211yescharacteristic, complemented
149#1954C2211yescharacteristic, complemented
150#1895C2211yescharacteristic, complemented
151#1895C2211yescharacteristic, complemented
152#1894C2211yescharacteristic, complemented
153#1893C2211yescharacteristic, complemented
154#1880C2211yescharacteristic, complemented
155#1880C2211yescharacteristic, complemented
156#1875C2211yescharacteristic
157#1874C2211yescharacteristic, complemented
158#1874C2211yescharacteristic, complemented
159#1874C2211yescharacteristic, complemented
160#1872C2211yescharacteristic, complemented
161#1870C2211yescharacteristic, complemented
162#1870C2211yescharacteristic, complemented
163#1870C2211yescharacteristic, complemented
164#1869C2211yescharacteristic, complemented
165#1865C2211yescharacteristic, complemented
166#1865C2211yescharacteristic, complemented
167#1865C2211yescharacteristic, complemented
168#1863C2211yescharacteristic, complemented
169#1863C2211yescharacteristic, complemented
170#1863C2211yescharacteristic, complemented
171#1854C2211yescharacteristic
172#1854C2211yescharacteristic
173#1854C2211yescharacteristic
174#1803C2211yescharacteristic, complemented
175#1803C2211yescharacteristic, complemented
176#1798C2211yescharacteristic
177#1788C2211yescharacteristic
178#1788C2211yescharacteristic
179#1788C2211yescharacteristic
180#1788C2211yescharacteristic
181#1788C2211yescharacteristic
182#1788C2211yescharacteristic
183#1788C2211yescharacteristic
184#1788C2211yescharacteristic
185#1788C2211yescharacteristic
186#1788C2211yescharacteristic
187#1788C2211yescharacteristic
188#1788C2211yescharacteristic, complemented
189#1788C2211yescharacteristic, complemented
190#1788C2211yescharacteristic, complemented
191#1788C2211yescharacteristic, complemented
192#1787C2211yescharacteristic
193#1787C2211yescharacteristic
194#1787C2211yescharacteristic
195#1787C2211yescharacteristic, complemented
196#1787C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1787C2211yescharacteristic, complemented
199#1786C2211yescharacteristic
200#1786C2211yescharacteristic
201#1786C2211yescharacteristic
202#1780C2211yescharacteristic
203#1779C2211yescharacteristic
204#1763C2211yescharacteristic, complemented
205C4×#103C2211yescharacteristic, complemented
206#1750C2211yescharacteristic
207C2×2−1+4—24no—
208C2×2−1+4—24no—
209C2×2−1+4—24no—
210C2×2−1+4—42no—
211C2×2−1+4—42no—
212C2×2−1+4—42no—
213C22×#41—24no—
214C22×#41—24no—
215C22×#41—21no—
216C22×#41—21no—
217C22×#41—21no—
218C22×#41—21no—
219C22×#41—21no—
220C22×#41—24no—
221C22×#41—42no—
222C22×#41—42no—
223C22×#41—42no—
224C22×#41C2311yescharacteristic
225C22×#41C2311yescharacteristic
226C22×#41C2311yescharacteristic
227C22×#41C2311yescharacteristic
228C22×#41C2311yescharacteristic
229C22×#41C2311yescharacteristic
230C22×#41C2311yescharacteristic
231C22×#41C2311yescharacteristic
232C23×Q8—21no—
233C23×Q8C2311yescharacteristic
234C23×Q8C2311yescharacteristic
235C23×Q8C2311yescharacteristic
236C23×D4—21no—
237C23×D4C2311yescharacteristic
238C24×C4—21no—
239C24×C4C2311yescharacteristic
240C22×SD16C2311yescharacteristic
241C22×SD16C2311yescharacteristic
242C22×SD16C2311yescharacteristic
243C22×D8C2311yescharacteristic
244C22×D8C2311yescharacteristic
245C22×D8C2311yescharacteristic
246C22×M16C2311yescharacteristic
247C22×M16C2311yescharacteristic
248C22×M16C2311yescharacteristic
249C23×C8C2311yescharacteristic
250#553—24no—
251#553—24no—
252#550—216no—
253#550—216no—
254#550—24no—
255#550—24no—
256#550—24no—
257#550—24no—
258#550—24no—
259#550—24no—
260#550—24no—
261#550D418yescomplemented
262#548—216no—
263#548—216no—
264#548—24no—
265#548—24no—
266#548—24no—
267#548—24no—
268#548—24no—
269#548—24no—
270#548—24no—
271#548D418yescomplemented
272#535—216no—
273#535—216no—
274#535—24no—
275#535—24no—
276#535—24no—
277#535—24no—
278C2×#127—21no—
279C2×#127—21no—
280C2×#127—21no—
281C2×#127—21no—
282C2×#127—21no—
283C2×#127C2311yescharacteristic
284C2×#127C2311yescharacteristic
285C2×#126—21no—
286C2×#125C2311yescharacteristic
287C2×#124—21no—
288C2×#124—21no—
289C2×#124—21no—
290C2×#124—21no—
291C2×#124—21no—
292C2×#124C2311yescharacteristic
293C2×#124C2311yescharacteristic
294#525—216no—
295#525—216no—
296#525—24no—
297#525—24no—
298#525—24no—
299#525—24no—
300C2×#123—21no—
301C2×#123—21no—
302C2×#123D411yescharacteristic
303C2×#123D411yescharacteristic
304C2×C22⋊Q8—21no—
305C2×C22⋊Q8—21no—
306C2×C22⋊Q8—21no—
307C2×C22⋊Q8—21no—
308C2×C22⋊Q8D411yescharacteristic
309C2×C22⋊Q8D411yescharacteristic
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2311yescharacteristic
312C2×#121—21no—
313C2×#121—21no—
314C2×#121—21no—
315C2×#121—21no—
316C2×#121—21no—
317C2×#121—21no—
318C2×#121—21no—
319C2×#121—21no—
320C2×#121—21no—
321C2×#121—21no—
322C2×#121—21no—
323C2×#121—21no—
324C2×#121—21no—
325C2×#121—21no—
326C2×#121—21no—
327C2×#121—21no—
328C2×#121—21no—
329C2×#121—21no—
330C2×#121D411yescharacteristic
331C2×#121D411yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2311yescharacteristic
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#120—21no—
344C2×#120—21no—
345C2×#120—21no—
346C2×#120—21no—
347C2×#120—21no—
348C2×#120—21no—
349C2×#120D411yescharacteristic
350C2×#120D411yescharacteristic
351#519—24no—
352#519—24no—
353C2×C4×Q8—21no—
354C2×C4×Q8—21no—
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×D4—21no—
360C2×C4×D4—21no—
361C2×C4×D4—21no—
362C2×C4×D4—21no—
363C2×C4×D4—21no—
364C2×C4×D4—21no—
365C2×C4×D4—21no—
366C2×C4×D4—21no—
367C2×C4×D4—21no—
368C2×C4×D4—21no—
369C2×C4×D4—21no—
370C2×C4×D4—21no—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×#117—21no—
377C2×#117—21no—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C22⋊C4—21no—
385#490—24no—
386#488—24no—
387#483—24no—
388#482—24no—
389#482—24no—
390#480—24no—
391#479—24no—
392#479—24no—
393#469—24no—
394#469—24no—
395#468—24no—
396#466—24no—
397#463—24no—
398#459—24no—
399#449—24no—
400#449—24no—
401#449—24no—
402#449—42no—
403#449—42no—
404#449—42no—
405#449—42no—
406#448—24no—
407#448—24no—
408#448—42no—
409#447—42no—
410#440—24no—
411C4×SD16—24no—
412#436—24no—
413#435—24no—
414C2×#107C2311yescharacteristic
415C2×#107C2311yescharacteristic
416C2×#107C2311yescharacteristic
417C2×#106C2311yescharacteristic
418C2×#106C2311yescharacteristic
419C2×#106C2311yescharacteristic
420C2×C4⋊C8C2311yescharacteristic
421C2×C4⋊C8C2311yescharacteristic
422#419—24no—
423#417—24no—
424#417—24no—
425#417—42no—
426#417—42no—
427#417—42no—
428#416—24no—
429C2×#103—42no—
430C2×#103C2311yescharacteristic
431C2×#103C2311yescharacteristic
432C2×#103C2311yescharacteristic
433C2×#103C2311yescharacteristic
434C2×#103C2311yescharacteristic
435C2×#103C2311yescharacteristic
436C2×#103C2311yescharacteristic
437C2×#103C2311yescharacteristic
438C2×#103C2311yescharacteristic
439C2×#103C2311yescharacteristic
440C2×#103C2311yescharacteristic
441C2×#103C2311yescharacteristic
442C2×#103C2311yescharacteristic
443C2×#103C2311yescharacteristic
444C2×#103C2311yescharacteristic
445C2×#103C2311yescharacteristic
446C2×#103C2311yescharacteristic
447C2×#103C2311yescharacteristic
448C2×#103C2311yescharacteristic
449C2×#103C2311yescharacteristic
450C2×#103C2311yescharacteristic
451C2×#102C2311yescharacteristic
452C2×#102C2311yescharacteristic
453C2×#102C2311yescharacteristic
454C2×#102C2311yescharacteristic
455C2×#102C2311yescharacteristic
456C2×#102C2311yescharacteristic
457C2×#102C2311yescharacteristic
458C2×#102C2311yescharacteristic
459C2×#102C2311yescharacteristic
460C2×#102C2311yescharacteristic
461C2×#102C2311yescharacteristic
462C2×#102C2311yescharacteristic
463C2×#102C2311yescharacteristic
464C2×#102C2311yescharacteristic
465C2×#102C2311yescharacteristic
466C2×#102C2311yescharacteristic
467C2×#102C2311yescharacteristic
468C2×#102C2311yescharacteristic
469C2×#102C2311yescharacteristic
470C2×#102C2311yescharacteristic
471C2×#102C2311yescharacteristic
472C2×#102C2311yescharacteristic
473C2×#102C2311yescharacteristic
474#408—42no—
475#407—42no—
476C2×C22⋊C8C2311yescharacteristic
477C2×C22⋊C8C2311yescharacteristic
478C2×C22⋊C8C2311yescharacteristic
479C2×C22⋊C8C2311yescharacteristic
480C2×C22⋊C8C2311yescharacteristic
481C2×C22⋊C8C2311yescharacteristic
482C2×C22⋊C8C2311yescharacteristic
483C2×C22⋊C8C2311yescharacteristic
484C2×C22⋊C8C2311yescharacteristic
485C2×C22⋊C8C2311yescharacteristic
486C2×C22⋊C8C2311yescharacteristic
487C2×C22⋊C8C2311yescharacteristic
488C2×C22⋊C8C2311yescharacteristic
489C2×C22⋊C8C2311yescharacteristic
490C2×C22⋊C8C2311yescharacteristic
491C2×C22⋊C8C2311yescharacteristic
492C2×#97C2311yescharacteristic
493C2×C4×C8C2311yescharacteristic
494#400—21no—
495#400—21no—
496#399—21no—
497#398—21no—
498#398—21no—
499#397—21no—
500#396—21no—
501#396—21no—
502#396—21no—
503#396—21no—
504#394—21no—
505#394—21no—
506#394—21no—
507#394—21no—
508#394—21no—
509#394—21no—
510#393—21no—
511#392—21no—
512#392—21no—
513#392—21no—
514#391—21no—
515#390—21no—
516#390—21no—
517#390C2311yescharacteristic
518#389—21no—
519#389C2311yescharacteristic
520#389C2311yescharacteristic
521#389C2311yescharacteristic
522#388—21no—
523#388—21no—
524#388—21no—
525#388—21no—
526#387—21no—
527#386—21no—
528#386—21no—
529#386—21no—
530#386—21no—
531#386—21no—
532#386—21no—
533#386—21no—
534#386—21no—
535#386—21no—
536#385—21no—
537#385—21no—
538#385—21no—
539#385—21no—
540#384C2311yescharacteristic
541#380—21no—
542#380—21no—
543#380—21no—
544#380C2311yescharacteristic
545#380C2311yescharacteristic
546#380C2311yescharacteristic
547#380C2311yescharacteristic
548#380C2311yescharacteristic
549#380C2311yescharacteristic
550#380C2311yescharacteristic
551#380C2311yescharacteristic
552#380C2311yescharacteristic
553#380C2311yescharacteristic
554#380C2311yescharacteristic
555C4×C4⋊C4C2311yescharacteristic
556C2×#95—21no—
557#340C2311yescharacteristic
558#340C2311yescharacteristic
559#340C2311yescharacteristic
560#340C2311yescharacteristic
561#340C2311yescharacteristic
562#340C2311yescharacteristic
563#340C2311yescharacteristic
564#340C2311yescharacteristic
565#336C2311yescharacteristic
566#336C2311yescharacteristic
567#336C2311yescharacteristic
568#336C2311yescharacteristic
569C25—21no—
570C25C2×D411yescharacteristic
5712−1+4—416no—
5722−1+4—416no—
5732−1+4—416no—
5742−1+4—416no—
575C2×#41—28no—
576C2×#41—28no—
577C2×#41—28no—
578C2×#41—28no—
579C2×#41—28no—
580C2×#41—22no—
581C2×#41—22no—
582C2×#41—22no—
583C2×#41—22no—
584C2×#41—22no—
585C2×#41—22no—
586C2×#41—22no—
587C2×#41—22no—
588C2×#41—22no—
589C2×#41—22no—
590C2×#41—22no—
591C2×#41—22no—
592C2×#41—22no—
593C2×#41—22no—
594C2×#41—22no—
595C2×#41—22no—
596C2×#41—22no—
597C2×#41—22no—
598C2×#41—22no—
599C2×#41—22no—
600C2×#41—22no—
601C2×#41—22no—
602C2×#41—22no—
603C2×#41—22no—
604C2×#41—22no—
605C2×#41—22no—
606C2×#41—22no—
607C2×#41—22no—
608C2×#41—22no—
609C2×#41—41no—
610C2×#41—41no—
611C2×#41—41no—
612C2×#41—41no—
613C2×#41—41no—
614C2×#41—41no—
615C2×#41—41no—
616C2×#41—41no—
617C2×#41—41no—
618C2×#41—41no—
619C2×#41—41no—
620C2×#41—41no—
621C2×#41—41no—
622C2×#41—41no—
623C2×#41—41no—
624C2×#41—41no—
625C2×#41—44no—
626C2×#41—44no—
627C2×#41—44no—
628C2×#41—44no—
629C2×#41—44no—
630C2×#41—44no—
631C2×#41—44no—
632C2×#41—416no—
633C2×#41—416no—
634C2×#41—44no—
635C2×#41—44no—
636C2×#41—416no—
637C2×#41—416no—
638C2×#41—44no—
639C2×#41C2×D414yes—
640C2×#41C2×D414yes—
641C2×#41C2×D414yes—
642C22×Q8—22no—
643C22×Q8—22no—
644C22×Q8—22no—
645C22×Q8—22no—
646C22×Q8—28no—
647C22×Q8—22no—
648C22×Q8—22no—
649C22×Q8—21no—
650C22×Q8—21no—
651C22×Q8—21no—
652C22×Q8—22no—
653C22×Q8—22no—
654C22×Q8—22no—
655C22×Q8—22no—
656C22×Q8—22no—
657C22×Q8—22no—
658C22×Q8—41no—
659C22×Q8—41no—
660C22×Q8—41no—
661C22×Q8—41no—
662C22×Q8—44no—
663C22×Q8—44no—
664C22×Q8C2×D414yes—
665C22×Q8C2×D411yescharacteristic
666C22×Q8#4114yes—
667C22×Q8C2411yescharacteristic
668C22×Q8C2411yescharacteristic
669C22×Q8C2411yescharacteristic
670C22×D4—28no—
671C22×D4—21no—
672C22×D4—21no—
673C22×D4—21no—
674C22×D4—21no—
675C22×D4—21no—
676C22×D4—21no—
677C22×D4—21no—
678C22×D4—21no—
679C22×D4—21no—
680C22×D4—21no—
681C22×D4—21no—
682C22×D4—21no—
683C22×D4—21no—
684C22×D4—22no—
685C22×D4—22no—
686C22×D4—21no—
687C22×D4—21no—
688C22×D4—21no—
689C22×D4—21no—
690C22×D4—21no—
691C22×D4—21no—
692C22×D4—21no—
693C22×D4—21no—
694C22×D4—21no—
695C22×D4—21no—
696C22×D4—22no—
697C22×D4—22no—
698C22×D4—41no—
699C22×D4—41no—
700C22×D4—44no—
701C22×D4—44no—
702C22×D4C2×D411yescharacteristic
703C22×D4C2×D411yescharacteristic
704C22×D4C2×D411yescharacteristic
705C22×D4C2×D411yescharacteristic
706C22×D4C2×D411yescharacteristic
707C22×D4C2×D411yescharacteristic
708C22×D4C2×D411yescharacteristic
709C22×D4C2411yescharacteristic
710C22×D4C2411yescharacteristic
711C22×D4C2411yescharacteristic
712C22×D4C2411yescharacteristic
713C23×C4—21no—
714C23×C4—28no—
715C23×C4—21no—
716C23×C4—21no—
717C23×C4—21no—
718C23×C4—21no—
719C23×C4—21no—
720C23×C4—21no—
721C23×C4—21no—
722C23×C4—21no—
723C23×C4—21no—
724C23×C4—22no—
725C23×C4—22no—
726C23×C4—22no—
727C23×C4—22no—
728C23×C4—21no—
729C23×C4—21no—
730C23×C4—21no—
731C23×C4—21no—
732C23×C4—41no—
733C23×C4—41no—
734C23×C4—44no—
735C23×C4—44no—
736C23×C4C2×D411yescharacteristic
737C23×C4C2×D411yescharacteristic
738C23×C4C2×D411yescharacteristic
739C23×C4C2411yescharacteristic
740C23×C4C2411yescharacteristic
741C23×C4C2411yescharacteristic
742C23×C4C2411yescharacteristic
743C23×C4C2411yescharacteristic
744C2×SD16—22no—
745C2×SD16—22no—
746C2×SD16—22no—
747C2×SD16—22no—
748C2×SD16—22no—
749C2×SD16—22no—
750C2×SD16—22no—
751C2×SD16—41no—
752C2×SD16—41no—
753C2×D8—22no—
754C2×D8—22no—
755C2×D8—22no—
756C2×D8—41no—
757C2×D8—41no—
758C2×D8—41no—
759C2×D8—41no—
760C2×D8—41no—
761C2×D8—41no—
762C2×M16—22no—
763C2×M16—22no—
764C2×M16—22no—
765C2×M16—41no—
766C2×M16—41no—
767C2×M16—41no—
768C2×M16—41no—
769C2×M16—41no—
770C2×M16—41no—
771C22×C8—22no—
772C22×C8—41no—
773C22×C8—41no—
774C22×C8C2411yescharacteristic
775C22×C8C2411yescharacteristic
776C22×C8C2411yescharacteristic
777C22×C8C2411yescharacteristic
778C22×C8C2411yescharacteristic
779C22×C8C2411yescharacteristic
780C22×C8C2411yescharacteristic
781C22×C8C2411yescharacteristic
782#127—28no—
783#127—28no—
784#127—28no—
785#127—28no—
786#127—28no—
787#127—22no—
788#127—22no—
789#127—22no—
790#127C2×D414yes—
791#126—44no—
792#125—22no—
793#125—22no—
794#124—28no—
795#124—28no—
796#124—28no—
797#124—28no—
798#124—22no—
799#124—22no—
800#124—28no—
801#124—22no—
802#124C2×D414yes—
803#123—28no—
804#123—24no—
805#123—24no—
806#123—44no—
807C22⋊Q8—28no—
808C22⋊Q8—28no—
809C22⋊Q8—28no—
810C22⋊Q8—22no—
811C22⋊Q8—22no—
812C22⋊Q8—28no—
813C22⋊Q8—24no—
814C22⋊Q8—22no—
815C22⋊Q8—24no—
816C22⋊Q8C2×D414yes—
817#121—28no—
818#121—28no—
819#121—28no—
820#121—28no—
821#121—28no—
822#121—28no—
823#121—28no—
824#121—28no—
825#121—28no—
826#121—28no—
827#121—28no—
828#121—28no—
829#121—24no—
830#121—22no—
831#121—22no—
832#121—22no—
833#121—22no—
834#121—22no—
835#121—22no—
836#121—22no—
837#121—22no—
838#121—22no—
839#121—28no—
840#121—28no—
841#121—24no—
842#121—22no—
843#121—22no—
844#121—22no—
845#121—22no—
846#121—22no—
847#121—22no—
848#121—44no—
849#121—41no—
850#121—41no—
851#121—41no—
852#121—41no—
853#121—82no—
854#121—82no—
855#121—82no—
856#121C2×D414yes—
857#121C2×D414yes—
858#121C2×D414yes—
859#120—28no—
860#120—28no—
861#120—28no—
862#120—28no—
863#120—28no—
864#120—24no—
865#120—24no—
866#120—82no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—22no—
870C4×Q8—22no—
871C4×Q8—22no—
872C4×Q8—22no—
873C4×Q8—22no—
874C4×Q8—22no—
875C4×Q8C2×D414yes—
876C4×Q8C2×D414yes—
877C4×D4—28no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—28no—
881C4×D4—28no—
882C4×D4—28no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—22no—
886C4×D4—22no—
887C4×D4—22no—
888C4×D4—22no—
889C4×D4—28no—
890C4×D4—28no—
891C4×D4—22no—
892C4×D4—22no—
893C4×D4—22no—
894C4×D4—22no—
895C4×D4—44no—
896C4×D4—82no—
897C4×D4C2×D414yes—
898C4×D4C2×D414yes—
899#117—28no—
900#117—28no—
901#117—22no—
902#117—22no—
903#117—22no—
904#117—22no—
905#117—22no—
906#117—22no—
907C2×C4⋊C4—21no—
908C2×C4⋊C4—21no—
909C2×C4⋊C4—21no—
910C2×C4⋊C4—21no—
911C2×C4⋊C4—21no—
912C2×C4⋊C4—21no—
913C2×C4⋊C4—22no—
914C2×C4⋊C4—22no—
915C2×C4⋊C4—21no—
916C2×C4⋊C4—21no—
917C2×C4⋊C4—21no—
918C2×C4⋊C4—21no—
919C2×C4⋊C4—21no—
920C2×C4⋊C4—21no—
921C2×C4⋊C4—21no—
922C2×C4⋊C4—21no—
923C2×C4⋊C4—21no—
924C2×C4⋊C4—21no—
925C2×C4⋊C4—41no—
926C2×C4⋊C4—41no—
927C2×C4⋊C4—41no—
928C2×C4⋊C4—41no—
929C2×C4⋊C4C2×D411yescharacteristic
930C2×C4⋊C4C2×D411yescharacteristic
931C2×C4⋊C4C2×D411yescharacteristic
932C2×C4⋊C4C2×D411yescharacteristic
933C2×C4⋊C4C2×D411yescharacteristic
934C2×C4⋊C4C2×D411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C22⋊C4—21no—
945C2×C22⋊C4—21no—
946C2×C22⋊C4—21no—
947C2×C22⋊C4—21no—
948C2×C22⋊C4—21no—
949C2×C22⋊C4—21no—
950C2×C22⋊C4—21no—
951C2×C22⋊C4—21no—
952C2×C22⋊C4—21no—
953C2×C22⋊C4—21no—
954C2×C22⋊C4—21no—
955C2×C22⋊C4—21no—
956C2×C22⋊C4—21no—
957C2×C22⋊C4—21no—
958C2×C22⋊C4—21no—
959C2×C22⋊C4—21no—
960C2×C22⋊C4—21no—
961C2×C22⋊C4—21no—
962C2×C22⋊C4—21no—
963C2×C22⋊C4—21no—
964C2×C22⋊C4—21no—
965C2×C22⋊C4—21no—
966C2×C22⋊C4—21no—
967C2×C22⋊C4—21no—
968C2×C22⋊C4—21no—
969C2×C22⋊C4—21no—
970C2×C22⋊C4—21no—
971C2×C22⋊C4—21no—
972C2×C22⋊C4—21no—
973C2×C22⋊C4—21no—
974C2×C22⋊C4—21no—
975C2×C22⋊C4—21no—
976C2×C22⋊C4—21no—
977C2×C22⋊C4—82no—
978C2×C22⋊C4C2×D411yescharacteristic
979C2×C22⋊C4C2×D411yescharacteristic
980C2×C22⋊C4C2×D411yescharacteristic
981C2×C22⋊C4C2×D411yescharacteristic
982C2×C22⋊C4C2×D411yescharacteristic
983C2×C22⋊C4C2×D411yescharacteristic
984C2×C22⋊C4C2×D411yescharacteristic
985C2×C22⋊C4C2×D411yescharacteristic
986C2×C22⋊C4C2×D411yescharacteristic
987C2×C22⋊C4C2×D411yescharacteristic
988C2×C42—21no—
989C2×C42—21no—
990C2×C42—21no—
991C2×C42—21no—
992C2×C42—21no—
993C2×C42—21no—
994C2×C42—21no—
995C2×C42C2411yescharacteristic
996C2×C42C2411yescharacteristic
997#107—22no—
998#107—22no—
999#107—22no—
1000#106—22no—
1001#106—22no—
1002#106—22no—
1003C4⋊C8—22no—
1004C4⋊C8—22no—
1005#103—22no—
1006#103—22no—
1007#103—22no—
1008#103—22no—
1009#103—22no—
1010#103—22no—
1011#103—22no—
1012#103—22no—
1013#103—22no—
1014#103—22no—
1015#103—22no—
1016#103—22no—
1017#103—22no—
1018#103—22no—
1019#103—22no—
1020#103—22no—
1021#103—22no—
1022#103—41no—
1023#103—41no—
1024#103—41no—
1025#103—41no—
1026#102—22no—
1027#102—22no—
1028#102—22no—
1029#102—22no—
1030#102—22no—
1031#102—22no—
1032#102—22no—
1033#102—22no—
1034#102—22no—
1035#102—22no—
1036#102—22no—
1037#102—41no—
1038#102—41no—
1039#102—41no—
1040#102—41no—
1041#102—41no—
1042#102—41no—
1043#102—41no—
1044#102—41no—
1045#102—41no—
1046#102—41no—
1047#102—41no—
1048#102—41no—
1049C22⋊C8—22no—
1050C22⋊C8—22no—
1051C22⋊C8—22no—
1052C22⋊C8—22no—
1053C22⋊C8—22no—
1054C22⋊C8—22no—
1055C22⋊C8—22no—
1056C22⋊C8—22no—
1057C22⋊C8—41no—
1058C22⋊C8—41no—
1059C22⋊C8—41no—
1060C22⋊C8—41no—
1061C22⋊C8—41no—
1062C22⋊C8—41no—
1063C22⋊C8—41no—
1064C22⋊C8—41no—
1065#97—22no—
1066C4×C8—22no—
1067#95—21no—
1068#95—21no—
1069#95—21no—
1070#95—21no—
1071#95—21no—
1072#95—21no—
1073#95—21no—
1074#95—21no—
1075#95—21no—
1076#95—21no—
1077#95—21no—
1078#95—21no—
1079#95—21no—
1080#95—21no—
1081#95—21no—
1082C24—24no—
1083C24—21no—
1084C24—21no—
1085C24—21no—
1086C24—22no—
1087C24—22no—
1088C24—21no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24—41no—
1094C24—42no—
1095C24—42no—
1096C24—81no—
1097C24—81no—
1098C24—81no—
1099C24—81no—
1100C24C22×D411yescharacteristic
1101C24C22×D411yescharacteristic
1102C24C22×D411yescharacteristic
1103C24C22×D411yescharacteristic
1104C24C22×D411yescharacteristic
1105#41—28no—
1106#41—28no—
1107#41—28no—
1108#41—44no—
1109#41—44no—
1110#41—44no—
1111#41—44no—
1112#41—44no—
1113#41—44no—
1114#41—44no—
1115#41—44no—
1116#41—44no—
1117#41—44no—
1118#41—44no—
1119#41—44no—
1120#41—44no—
1121#41—44no—
1122#41—44no—
1123#41—44no—
1124#41—44no—
1125#41—432no—
1126#41—432no—
1127#41—44no—
1128#41—44no—
1129#41—44no—
1130#41—44no—
1131#41—44no—
1132#41—44no—
1133#41—432no—
1134#41—432no—
1135#41—44no—
1136#41—44no—
1137#41—432no—
1138#41—44no—
1139#41—44no—
1140#41—44no—
1141#41—44no—
1142C2×Q8—24no—
1143C2×Q8—24no—
1144C2×Q8—28no—
1145C2×Q8—28no—
1146C2×Q8—28no—
1147C2×Q8—28no—
1148C2×Q8—24no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—21no—
1154C2×Q8—21no—
1155C2×Q8—21no—
1156C2×Q8—21no—
1157C2×Q8—21no—
1158C2×Q8—21no—
1159C2×Q8—21no—
1160C2×Q8—28no—
1161C2×Q8—21no—
1162C2×Q8—21no—
1163C2×Q8—21no—
1164C2×Q8—21no—
1165C2×Q8—41no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—44no—
1171C2×Q8—44no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—44no—
1175C2×Q8—432no—
1176C2×Q8—44no—
1177C2×Q8—44no—
1178C2×Q8C22×D412yes—
1179C2×Q8C22×D412yes—
1180C2×Q8C22×D412yes—
1181C2×Q8C2×#4112yes—
1182C2×Q8C2×#4112yes—
1183C2×Q8H(5,𝔽2)12yes—
1184C2×Q8H(5,𝔽2)12yes—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—22no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—21no—
1213C2×D4—21no—
1214C2×D4—21no—
1215C2×D4—21no—
1216C2×D4—21no—
1217C2×D4—21no—
1218C2×D4—21no—
1219C2×D4—21no—
1220C2×D4—21no—
1221C2×D4—21no—
1222C2×D4—21no—
1223C2×D4—21no—
1224C2×D4—21no—
1225C2×D4—21no—
1226C2×D4—21no—
1227C2×D4—21no—
1228C2×D4—21no—
1229C2×D4—21no—
1230C2×D4—21no—
1231C2×D4—21no—
1232C2×D4—21no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4—432no—
1255C2×D4—42no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—81no—
1272C2×D4—81no—
1273C2×D4—81no—
1274C2×D4—81no—
1275C2×D4—81no—
1276C2×D4—81no—
1277C2×D4—81no—
1278C2×D4—81no—
1279C2×D4—81no—
1280C2×D4—81no—
1281C2×D4—81no—
1282C2×D4—81no—
1283C2×D4—81no—
1284C2×D4—81no—
1285C2×D4—81no—
1286C2×D4—81no—
1287C2×D4—81no—
1288C2×D4—81no—
1289C2×D4—81no—
1290C2×D4—81no—
1291C2×D4—81no—
1292C2×D4—81no—
1293C2×D4—81no—
1294C2×D4—81no—
1295C2×D4—81no—
1296C2×D4—81no—
1297C2×D4—81no—
1298C2×D4—81no—
1299C2×D4—81no—
1300C2×D4#12014yes—
1301C2×D4C22×D412yes—
1302C2×D4C22×D412yes—
1303C2×D4C22×D412yes—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—21no—
1308C22×C4—21no—
1309C22×C4—21no—
1310C22×C4—21no—
1311C22×C4—21no—
1312C22×C4—21no—
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—21no—
1343C22×C4—21no—
1344C22×C4—21no—
1345C22×C4—21no—
1346C22×C4—21no—
1347C22×C4—21no—
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—432no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—81no—
1388C22×C4—81no—
1389C22×C4—81no—
1390C22×C4—81no—
1391C22×C4—81no—
1392C22×C4—81no—
1393C22×C4—81no—
1394C22×C4—81no—
1395C22×C4—81no—
1396C22×C4C22×D411yescharacteristic
1397C22×C4C22×D411yescharacteristic
1398C22×C4C22×D411yescharacteristic
1399C22×C4C22×D411yescharacteristic
1400C22×C4C22×D411yescharacteristic
1401C22×C4C22×D411yescharacteristic
1402C22×C4C22×D411yescharacteristic
1403C22×C4C22×D411yescharacteristic
1404C22×C4C22×D412yes—
1405C22×C4C22×D412yes—
1406C22×C4C22×D412yes—
1407C22×C4C22×D412yes—
1408C22×C4C22×D411yescharacteristic
1409C22×C4C2×#4112yes—
1410C22×C4H(5,𝔽2)12yes—
1411C22×C4C2511yescharacteristic
1412SD16—44no—
1413SD16—44no—
1414SD16—82no—
1415D8—82no—
1416D8—82no—
1417D8—82no—
1418M16—82no—
1419M16—82no—
1420M16—82no—
1421C2×C8—21no—
1422C2×C8—21no—
1423C2×C8—21no—
1424C2×C8—21no—
1425C2×C8—21no—
1426C2×C8—21no—
1427C2×C8—21no—
1428C2×C8—21no—
1429C2×C8—21no—
1430C2×C8—21no—
1431C2×C8—21no—
1432C2×C8—21no—
1433C2×C8—21no—
1434C2×C8—21no—
1435C2×C8—21no—
1436C2×C8—21no—
1437C2×C8—21no—
1438C2×C8—21no—
1439C2×C8—21no—
1440C2×C8—21no—
1441C2×C8—21no—
1442C2×C8—21no—
1443C2×C8—21no—
1444C2×C8—21no—
1445C2×C8—82no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—81no—
1477C4⋊C4—81no—
1478C4⋊C4—81no—
1479C4⋊C4—81no—
1480C4⋊C4—81no—
1481C4⋊C4—81no—
1482C4⋊C4—81no—
1483C4⋊C4#12014yes—
1484C4⋊C4C22×D412yes—
1485C4⋊C4C22×D412yes—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—22no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—22no—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—81no—
1516C22⋊C4—81no—
1517C22⋊C4—81no—
1518C22⋊C4—81no—
1519C22⋊C4—81no—
1520C22⋊C4—81no—
1521C22⋊C4—81no—
1522C22⋊C4—81no—
1523C22⋊C4—81no—
1524C22⋊C4—81no—
1525C22⋊C4—81no—
1526C22⋊C4—81no—
1527C22⋊C4#12014yes—
1528C22⋊C4#12014yes—
1529C42—24no—
1530C42—24no—
1531C42—24no—
1532C42—24no—
1533C42—24no—
1534C42—21no—
1535C42—21no—
1536C42—42no—
1537C42—81no—
1538C42C22×D412yes—
1539C42C22×D412yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—22no—
1569C23—21no—
1570C23—22no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—44no—
1576C23—48no—
1577C23—44no—
1578C23—41no—
1579C23—41no—
1580C23—41no—
1581C23—41no—
1582C23—41no—
1583C23—41no—
1584C23—41no—
1585C23—41no—
1586C23—41no—
1587C23—41no—
1588C23—41no—
1589C23—41no—
1590C23—41no—
1591C23—41no—
1592C23—41no—
1593C23—41no—
1594C23—41no—
1595C23—41no—
1596C23—41no—
1597C23—41no—
1598C23—41no—
1599C23—41no—
1600C23—41no—
1601C23—41no—
1602C23—41no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23—84no—
1607C23—84no—
1608C23—84no—
1609C23—84no—
1610C23—82no—
1611C23—82no—
1612C23—84no—
1613C23—84no—
1614C23C2×#12012yes—
1615C23C2×#12012yes—
1616C23#54612yes—
1617C23C23×D411yescharacteristic
1618Q8—216no—
1619Q8—22no—
1620Q8—22no—
1621Q8—22no—
1622Q8—22no—
1623Q8—22no—
1624Q8—22no—
1625Q8—22no—
1626Q8—22no—
1627Q8—48no—
1628Q8—44no—
1629Q8—48no—
1630Q8—41no—
1631Q8—41no—
1632Q8#54614yes—
1633Q8#54614yes—
1634D4—22no—
1635D4—22no—
1636D4—22no—
1637D4—22no—
1638D4—22no—
1639D4—22no—
1640D4—44no—
1641D4—44no—
1642D4—44no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—44no—
1651D4—48no—
1652D4—41no—
1653D4—41no—
1654D4—41no—
1655D4—41no—
1656D4—41no—
1657D4—41no—
1658D4—41no—
1659D4—41no—
1660D4—41no—
1661D4—41no—
1662D4—82no—
1663D4—84no—
1664D4—84no—
1665D4—82no—
1666D4—82no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—84no—
1674D4—84no—
1675D4—84no—
1676D4—162no—
1677D4—162no—
1678D4—162no—
1679D4—162no—
1680C2×C4—216no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—48no—
1731C2×C4—48no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—48no—
1736C2×C4—41no—
1737C2×C4—41no—
1738C2×C4—41no—
1739C2×C4—41no—
1740C2×C4—41no—
1741C2×C4—41no—
1742C2×C4—41no—
1743C2×C4—41no—
1744C2×C4—41no—
1745C2×C4—41no—
1746C2×C4—41no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—41no—
1751C2×C4—41no—
1752C2×C4—41no—
1753C2×C4—41no—
1754C2×C4—41no—
1755C2×C4—41no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—41no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—41no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—162no—
1772C2×C4—162no—
1773C2×C4—162no—
1774C2×C4—162no—
1775C2×C4C2×#12012yes—
1776C2×C4C2×#12012yes—
1777C2×C4C2×#12012yes—
1778C2×C4C2×#12012yes—
1779C2×C4#54612yes—
1780C2×C4C23×D411yescharacteristic
1781C2×C4C23×D411yescharacteristic
1782C2×C4C22×#4111yescharacteristic
1783C2×C4C2×H(5,𝔽2)11yescharacteristic
1784C2×C4C2×H(5,𝔽2)11yescharacteristic
1785C2×C4C2×H(5,𝔽2)11yescharacteristic
1786C8—41no—
1787C8—41no—
1788C8—41no—
1789C8—41no—
1790C8—41no—
1791C8—41no—
1792C8—41no—
1793C8—41no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—42no—
1818C22—41no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—42no—
1836C22—41no—
1837C22—41no—
1838C22—88no—
1839C22—816no—
1840C22—81no—
1841C22—81no—
1842C22—81no—
1843C22—81no—
1844C22—81no—
1845C22—81no—
1846C22—81no—
1847C22—81no—
1848C22—81no—
1849C22—81no—
1850C22—81no—
1851C22—81no—
1852C22—81no—
1853C22—81no—
1854C22—81no—
1855C22—81no—
1856C22—81no—
1857C22—81no—
1858C22—81no—
1859C22C22×#12011yescharacteristic
1860C22C2×#54611yescharacteristic
1861C22#348411yescharacteristic
1862C22#358411yescharacteristic
1863C22#358511yescharacteristic
1864C22#358511yescharacteristic
1865C22#358611yescharacteristic
1866C4—24no—
1867C4—24no—
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—41no—
1874C4—41no—
1875C4—42no—
1876C4—41no—
1877C4—42no—
1878C4—41no—
1879C4—42no—
1880C4—81no—
1881C4—81no—
1882C4—81no—
1883C4—81no—
1884C4—81no—
1885C4—81no—
1886C4—81no—
1887C4C2×#54611yescharacteristic
1888C4C2×#54611yescharacteristic
1889C4#348411yescharacteristic
1890C4#348411yescharacteristic
1891C2—42no—
1892C2—42no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—82no—
1897C2—82no—
1898C2—82no—
1899C2—161no—
1900C2#3615211yescharacteristic
1901C2#6037111yescharacteristic
1902C2#6037611yescharacteristic
1903C2#6117811yescharacteristic
1904C2#6118911yescharacteristic
1905C2#6161511yescharacteristic
1906C2#6165111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3487C2semidirect
2. C2×#3326C2semidirect
3. C2×#3309C2semidirect
4. #37836C2semidirect
5. #32967C2semidirect
6. #32885C2semidirect
7. #32880C2semidirect
8. #25893C2semidirect
9. #25889C2semidirect
10. #25867C2semidirect
11. #24451C2semidirect
12. #24451C2semidirect
13. #24441C2semidirect
14. #24439C2semidirect
15. #24390C2semidirect
16. #24388C2semidirect
17. #24256C2semidirect
18. #24238C2semidirect
19. #24218C2semidirect
20. #24052C2semidirect
21. #24047C2semidirect
22. #24046C2semidirect
23. #24034C2semidirect
24. #24015C2semidirect
25. #24004C2semidirect
26. #22432C2semidirect
27. #22421C2semidirect
28. #22400C2semidirect
29. #21462C2semidirect
30. #20603C2semidirect
31. #20601C2semidirect
36. C2×#553C22semidirect
60. C2×#490C22semidirect
61. C2×#488C22semidirect
62. C2×#482C22semidirect
63. C2×#482C22semidirect
64. C2×#483C22semidirect
65. C2×#480C22semidirect
66. C2×#479C22semidirect
67. C2×#479C22semidirect
68. C2×#469C22semidirect
69. C2×#469C22semidirect
70. C2×#468C22semidirect
71. C2×#466C22semidirect
72. C2×#463C22semidirect
73. C2×#459C22semidirect
79. C2×#449C22semidirect
80. C2×#449C22semidirect
82. C2×#448C22semidirect
83. C2×#448C22semidirect
85. C2×#440C22semidirect
86. C2×C4×SD16C22semidirect
87. C2×#436C22semidirect
88. C2×#435C22semidirect
93. C2×#417C22semidirect
94. C2×#419C22semidirect
95. C2×#416C22semidirect
96. C22×#103C22semidirect
106. #2562C22semidirect
108. #2537C22semidirect
109. #2487C22semidirect
110. #2485C22semidirect
114. #2416C22semidirect
115. #2416C22semidirect
116. D4×C4⋊C4C22semidirect
120. #2042C22semidirect
121. #2042C22semidirect
122. #2042C22semidirect
123. #2041C22semidirect
124. #2041C22semidirect
125. #2041C22semidirect
126. #2036C22semidirect
127. #2036C22semidirect
128. #2035C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
131. #2034C22semidirect
132. #2034C22semidirect
133. #2034C22semidirect
134. #2033C22semidirect
135. #2033C22semidirect
136. #2033C22semidirect
137. #2033C22semidirect
138. #2012C22semidirect
139. #2011C22semidirect
140. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1999C22semidirect
144. #1983C22semidirect
145. #1982C22semidirect
146. #1959C22semidirect
147. #1957C22semidirect
148. #1955C22semidirect
149. #1954C22semidirect
150. #1895C22semidirect
151. #1895C22semidirect
152. #1894C22semidirect
153. #1893C22semidirect
154. #1880C22semidirect
155. #1880C22semidirect
157. #1874C22semidirect
158. #1874C22semidirect
159. #1874C22semidirect
160. #1872C22semidirect
161. #1870C22semidirect
162. #1870C22semidirect
163. #1870C22semidirect
164. #1869C22semidirect
165. #1865C22semidirect
166. #1865C22semidirect
167. #1865C22semidirect
168. #1863C22semidirect
169. #1863C22semidirect
170. #1863C22semidirect
174. #1803C22semidirect
175. #1803C22semidirect
188. #1788C22semidirect
189. #1788C22semidirect
190. #1788C22semidirect
191. #1788C22semidirect
195. #1787C22semidirect
196. #1787C22semidirect
197. #1787C22semidirect
198. #1787C22semidirect
204. #1763C22semidirect
205. C4×#103C22semidirect
261. #550D4semidirect
271. #548D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34872
C2×#33262
C2×#33092
#378362
#329672
#328852
#328802
#258932
#258892
#258672
#244512
#244412
#244392
#243902
#243882
#242562
#242382
#242182
#240522
#240472
#240462
#240342
#240152
#240042
#224322
#224212
#224002
#214622
#206032
#206012