Finite Group Databasebeta

← #7054779

Subgroups — #7054779

Order 512.

2623 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×D8C211yesmaximal, characteristic, complemented
2C2×#3213C211yesmaximal, characteristic, complemented
3#59095C211yesmaximal, characteristic, complemented
4#38906C211yesmaximal, characteristic, complemented
5#31222C211yesmaximal, characteristic, complemented
6#30898C211yesmaximal, characteristic, complemented
7#30847C211yesmaximal, characteristic, complemented
8#30749C211yesmaximal, characteristic, complemented
9#30735C211yesmaximal, characteristic, complemented
10#30535C211yesmaximal, characteristic, complemented
11#30468C211yesmaximal, characteristic, complemented
12#30460C211yesmaximal, characteristic, complemented
13#28931C211yesmaximal, characteristic, complemented
14#28475C211yesmaximal, characteristic, complemented
15#26826C211yesmaximal, characteristic, complemented
16#26585C211yesmaximal, characteristic, complemented
17#25788C211yesmaximal, characteristic, complemented
18#25783C211yesmaximal, characteristic, complemented
19#25496C211yesmaximal, characteristic, complemented
20#25376C211yesmaximal, characteristic, complemented
21#25172C211yesmaximal, characteristic, complemented
22#25114C211yesmaximal, characteristic, complemented
23#25090C211yesmaximal, characteristic, complemented
24#24506C211yesmaximal, characteristic, complemented
25#24424C211yesmaximal, characteristic, complemented
26#24355C211yesmaximal, characteristic, complemented
27#24354C211yesmaximal, characteristic, complemented
28#23849C211yesmaximal, characteristic, complemented
29C2×#2012C211yesmaximal, characteristic, complemented
30#22908C211yesmaximal, characteristic, complemented
31#22858C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic, complemented
33C23×D8C2211yescharacteristic
34C23×D8C2211yescharacteristic
35C2×#546—21no—
36C2×D42C2211yescharacteristic
37C2×D42C2211yescharacteristic
38C2×#532C2211yescharacteristic, complemented
39C22×#124C2211yescharacteristic, complemented
40D4×D8—28no—
41#3213—28no—
42C2×#496C2211yescharacteristic, complemented
43C2×#496C2211yescharacteristic, complemented
44C2×#496C2211yescharacteristic, complemented
45C2×#496C2211yescharacteristic, complemented
46C2×#493C2211yescharacteristic
47C2×#489C2211yescharacteristic, complemented
48C2×#489C2211yescharacteristic, complemented
49C2×#466C2211yescharacteristic
50C2×#466C2211yescharacteristic
51C2×#466C2211yescharacteristic, complemented
52C2×#465C2211yescharacteristic, complemented
53C2×#463C2211yescharacteristic, complemented
54C2×#463C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic, complemented
56C2×#463C2211yescharacteristic, complemented
57C2×#463C2211yescharacteristic, complemented
58C2×#459C2211yescharacteristic
59C2×#459C2211yescharacteristic
60C2×#459C2211yescharacteristic, complemented
61C2×#459C2211yescharacteristic, complemented
62C2×#448C2211yescharacteristic, complemented
63C2×#448C2211yescharacteristic, complemented
64C2×#450C2211yescharacteristic, complemented
65C2×#450C2211yescharacteristic, complemented
66C2×#447C2211yescharacteristic
67C2×#447C2211yescharacteristic
68C2×#447C2211yescharacteristic
69C2×#447C2211yescharacteristic
70C2×#447C2211yescharacteristic, complemented
71C2×#447C2211yescharacteristic, complemented
72C2×#442C2211yescharacteristic, complemented
73C2×C4×D8C2211yescharacteristic
74C2×C8×D4C2211yescharacteristic
75C2×#432C2211yescharacteristic, complemented
76C22×#103C2211yescharacteristic, complemented
77C22×#102C2211yescharacteristic, complemented
78#2854C2211yescharacteristic, complemented
79#2686—21no—
80#2686—21no—
81#2684—21no—
82#2684—21no—
83#2676—21no—
84#2670—21no—
85#2622—21no—
86#2544C2211yescharacteristic, complemented
87#2544C2211yescharacteristic, complemented
88#2541C2211yescharacteristic, complemented
89#2491C2211yescharacteristic, complemented
90#2456—21no—
91#2452C2211yescharacteristic, complemented
92#2447C2211yescharacteristic, complemented
93#2447C2211yescharacteristic, complemented
94#2445C2211yescharacteristic, complemented
95#2436C2211yescharacteristic, complemented
96#2435C2211yescharacteristic, complemented
97#2435C2211yescharacteristic, complemented
98#2433C2211yescharacteristic, complemented
99#2433C2211yescharacteristic, complemented
100#2428C2211yescharacteristic, complemented
101#2427C2211yescharacteristic, complemented
102#2427C2211yescharacteristic, complemented
103#2424—21no—
104#2424—21no—
105#2416C2211yescharacteristic
106#2412—21no—
107#2410—21no—
108#2409C2211yescharacteristic
109#2405—21no—
110#2404—21no—
111#2366C2211yescharacteristic, complemented
112#2361C2211yescharacteristic, complemented
113D4×C22⋊C4C2211yescharacteristic, complemented
114D4×C22⋊C4C2211yescharacteristic, complemented
115#2308—21no—
116C4×#123C2211yescharacteristic
117C2×#390C2211yescharacteristic, complemented
118#2068C2211yescharacteristic, complemented
119#2066C2211yescharacteristic, complemented
120#2065C2211yescharacteristic, complemented
121#2065C2211yescharacteristic, complemented
122#2057C2211yescharacteristic, complemented
123#2055C2211yescharacteristic, complemented
124#2055C2211yescharacteristic, complemented
125#2054C2211yescharacteristic
126#2054C2211yescharacteristic, complemented
127#2054C2211yescharacteristic, complemented
128#2054C2211yescharacteristic, complemented
129#2042C2211yescharacteristic, complemented
130#2041C2211yescharacteristic, complemented
131#2041C2211yescharacteristic, complemented
132#2035C2211yescharacteristic, complemented
133#2033C2211yescharacteristic, complemented
134#2023C2211yescharacteristic, complemented
135#2014C2211yescharacteristic, complemented
136#2014C2211yescharacteristic, complemented
137#2014C2211yescharacteristic, complemented
138#2014C2211yescharacteristic, complemented
139#2012C2211yescharacteristic
140#2012C2211yescharacteristic
141#2012C2211yescharacteristic, complemented
142#2012C2211yescharacteristic, complemented
143#2012C2211yescharacteristic, complemented
144#2012C2211yescharacteristic, complemented
145#2012C2211yescharacteristic, complemented
146#2012C2211yescharacteristic, complemented
147#2012C2211yescharacteristic, complemented
148#2012C2211yescharacteristic, complemented
149#2012C2211yescharacteristic, complemented
150#2011C2211yescharacteristic
151#2011C2211yescharacteristic, complemented
152#2011C2211yescharacteristic, complemented
153#2011C2211yescharacteristic, complemented
154#2000C2211yescharacteristic, complemented
155#2000C2211yescharacteristic, complemented
156#2000C2211yescharacteristic, complemented
157#1999C2211yescharacteristic, complemented
158#1983C2211yescharacteristic, complemented
159#1973C2211yescharacteristic, complemented
160#1973C2211yescharacteristic, complemented
161#1972C2211yescharacteristic, complemented
162#1972C2211yescharacteristic, complemented
163#1972C2211yescharacteristic, complemented
164#1968C2211yescharacteristic, complemented
165#1940C2211yescharacteristic, complemented
166#1936C2211yescharacteristic, complemented
167#1936C2211yescharacteristic, complemented
168#1936C2211yescharacteristic, complemented
169#1933C2211yescharacteristic, complemented
170#1928C2211yescharacteristic, complemented
171#1926C2211yescharacteristic, complemented
172#1924C2211yescharacteristic, complemented
173#1924C2211yescharacteristic, complemented
174#1917C2211yescharacteristic, complemented
175#1916C2211yescharacteristic, complemented
176#1893C2211yescharacteristic, complemented
177#1893C2211yescharacteristic, complemented
178#1892C2211yescharacteristic, complemented
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1879C2211yescharacteristic, complemented
182#1879C2211yescharacteristic, complemented
183#1879C2211yescharacteristic, complemented
184#1879C2211yescharacteristic, complemented
185#1879C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1877C2211yescharacteristic, complemented
188#1877C2211yescharacteristic, complemented
189#1874C2211yescharacteristic, complemented
190#1869C2211yescharacteristic
191#1864C2211yescharacteristic, complemented
192#1862C2211yescharacteristic, complemented
193#1862C2211yescharacteristic, complemented
194#1862C2211yescharacteristic, complemented
195#1853C2211yescharacteristic, complemented
196#1850C2211yescharacteristic, complemented
197#1850C2211yescharacteristic, complemented
198#1786C2211yescharacteristic, complemented
199#1786C2211yescharacteristic, complemented
200#1771C2211yescharacteristic, complemented
201#1762C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1752C2211yescharacteristic, complemented
204C2×#336C2211yescharacteristic, complemented
205C22×#41—21no—
206C23×Q8C2311yescharacteristic
207C23×D4—21no—
208C23×D4—21no—
209C23×D4C2311yescharacteristic
210C23×D4C2311yescharacteristic
211C23×D4C2311yescharacteristic
212C23×D4C2311yescharacteristic
213C22×SD16—42no—
214C22×SD16—42no—
215C22×SD16—42no—
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8—24no—
225C22×D8—24no—
226C22×D8—42no—
227C22×D8—42no—
228C22×D8—42no—
229C22×D8—42no—
230C22×D8C2311yescharacteristic
231C22×D8C2311yescharacteristic
232C22×D8C2311yescharacteristic
233C22×D8C2311yescharacteristic
234C22×D8C2311yescharacteristic
235C22×D8C2311yescharacteristic
236C22×D8C2311yescharacteristic
237C22×D8C2311yescharacteristic
238C22×D8C2311yescharacteristic
239C22×D8C2311yescharacteristic
240C22×D8C2311yescharacteristic
241C22×D8C2311yescharacteristic
242C23×C8C2311yescharacteristic
243C23×C8C2311yescharacteristic
244C23×C8C2311yescharacteristic
245#546—48no—
246D42—24no—
247D42—24no—
248D42—42no—
249D42—42no—
250#532—24no—
251#532—42no—
252C2×C4⋊Q8C2311yescharacteristic
253C2×#127C2311yescharacteristic
254C2×#127C2311yescharacteristic
255C2×#127C2311yescharacteristic
256C2×#127C2311yescharacteristic
257C2×#127C2311yescharacteristic
258C2×#124—21no—
259C2×#124—24no—
260C2×#124—21no—
261C2×#124—21no—
262C2×#124—21no—
263C2×#124—42no—
264C2×#124C2311yescharacteristic
265C2×#124C2311yescharacteristic
266C2×#124C2311yescharacteristic
267C2×#124C2311yescharacteristic
268C2×#124C2311yescharacteristic
269C2×#124C2311yescharacteristic
270C2×#123—21no—
271C2×#123—21no—
272C2×#123D411yescharacteristic
273C2×C22⋊Q8—21no—
274C2×C22⋊Q8C2311yescharacteristic
275C2×C22⋊Q8C2311yescharacteristic
276C2×#121—21no—
277C2×#121—21no—
278C2×#121—21no—
279C2×#121—21no—
280C2×#121—21no—
281C2×#121—21no—
282C2×#121—21no—
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#121C2311yescharacteristic
287C2×#121C2311yescharacteristic
288C2×#121C2311yescharacteristic
289C2×#120—21no—
290C2×#120—21no—
291C2×#120—21no—
292C2×#120—21no—
293C2×#120—21no—
294C2×#120—21no—
295C2×#120—21no—
296C2×#120—21no—
297C2×C4×D4—21no—
298C2×C4×D4—21no—
299C2×C4×D4—21no—
300C2×C4×D4C2311yescharacteristic
301C2×C4×D4C2311yescharacteristic
302C2×C4×D4C2311yescharacteristic
303C2×C4×D4C2311yescharacteristic
304C2×C4×D4C2311yescharacteristic
305C2×C4×D4C2311yescharacteristic
306C2×C4×D4C2311yescharacteristic
307C2×C4×D4C2311yescharacteristic
308C22×C4⋊C4C2311yescharacteristic
309C22×C22⋊C4—21no—
310C22×C22⋊C4—21no—
311C22×C22⋊C4—21no—
312C22×C22⋊C4—21no—
313C22×C22⋊C4—21no—
314C22×C22⋊C4—21no—
315C22×C42C2311yescharacteristic
316#496—24no—
317#496—24no—
318#496—42no—
319#496—42no—
320#493—24no—
321#489—24no—
322#489—24no—
323#466—24no—
324#466—24no—
325#466—42no—
326#465—42no—
327#463—24no—
328#463—24no—
329#463—24no—
330#463—24no—
331#463—42no—
332#459—24no—
333#459—24no—
334#459—42no—
335#459—42no—
336#450—42no—
337#450—42no—
338#448—24no—
339#448—24no—
340#447—24no—
341#447—24no—
342#447—24no—
343#447—24no—
344#447—42no—
345#447D418yescomplemented
346#442—42no—
347C4×D8—24no—
348C8×D4—24no—
349#432—24no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#106C2311yescharacteristic
353C2×#106C2311yescharacteristic
354C2×C4⋊C8C2311yescharacteristic
355C2×C4⋊C8C2311yescharacteristic
356C2×C4⋊C8C2311yescharacteristic
357C2×C4⋊C8C2311yescharacteristic
358C2×C4⋊C8C2311yescharacteristic
359C2×#103—42no—
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#103C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#102—42no—
369C2×#102C2311yescharacteristic
370C2×#102C2311yescharacteristic
371C2×#102C2311yescharacteristic
372C2×#102C2311yescharacteristic
373C2×#102C2311yescharacteristic
374C2×#102C2311yescharacteristic
375C2×#102C2311yescharacteristic
376C2×#102C2311yescharacteristic
377C2×#102C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×C22⋊C8C2311yescharacteristic
394C2×C22⋊C8C2311yescharacteristic
395C2×C22⋊C8C2311yescharacteristic
396C2×C22⋊C8C2311yescharacteristic
397C2×C22⋊C8C2311yescharacteristic
398C2×#97C2311yescharacteristic
399C2×#97C2311yescharacteristic
400C2×#97C2311yescharacteristic
401C2×#97C2311yescharacteristic
402C2×C4×C8C2311yescharacteristic
403#397—21no—
404#397—21no—
405#397—21no—
406#397—21no—
407#397—21no—
408#397—21no—
409#396—21no—
410#396—21no—
411#395—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#394—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#393—21no—
428#393—21no—
429#393—21no—
430#393—21no—
431#393—21no—
432#392—21no—
433#392—21no—
434#392—21no—
435#392—21no—
436#392—21no—
437#392—21no—
438#392—21no—
439#391C2311yescharacteristic
440#391C2311yescharacteristic
441#391C2311yescharacteristic
442#391C2311yescharacteristic
443#390—21no—
444#390—21no—
445#390—21no—
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#389C2311yescharacteristic
459#389C2311yescharacteristic
460#389C2311yescharacteristic
461#389C2311yescharacteristic
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388D411yescharacteristic
467#388D411yescharacteristic
468#387D411yescharacteristic
469#387D411yescharacteristic
470#386—21no—
471#386—21no—
472#386—21no—
473#386—21no—
474#386—21no—
475#386—21no—
476#386—21no—
477#386—21no—
478#386—21no—
479#386—21no—
480#386—21no—
481#386—21no—
482#386—21no—
483#386—21no—
484#386—21no—
485#386—21no—
486#386—21no—
487#386—21no—
488#386—21no—
489#386—21no—
490#386D411yescharacteristic
491#385—21no—
492#385—21no—
493#385—21no—
494#385—21no—
495#385—21no—
496#385D411yescharacteristic
497#381—21no—
498#381—21no—
499#381D411yescharacteristic
500#380—21no—
501#380—21no—
502#380C2311yescharacteristic
503#380C2311yescharacteristic
504#379—21no—
505#379—21no—
506#379—21no—
507#379—21no—
508#379—21no—
509#379—21no—
510C4×C4⋊C4C2311yescharacteristic
511C4×C4⋊C4C2311yescharacteristic
512C4×C4⋊C4C2311yescharacteristic
513C4×C22⋊C4C2311yescharacteristic
514C4×C22⋊C4C2311yescharacteristic
515C4×C22⋊C4C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530#336C2311yescharacteristic
531#336C2311yescharacteristic
532#336C2311yescharacteristic
533#336C2311yescharacteristic
534C25—21no—
535C25—21no—
536C25—21no—
537C25—21no—
538C2×#41—44no—
539C2×#41—44no—
540C2×#41—82no—
541C22×Q8—21no—
542C22×Q8—21no—
543C22×Q8—22no—
544C22×Q8—22no—
545C22×Q8—41no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8C2411yescharacteristic
550C22×Q8C2411yescharacteristic
551C22×D4—21no—
552C22×D4—22no—
553C22×D4—22no—
554C22×D4—22no—
555C22×D4—22no—
556C22×D4—21no—
557C22×D4—21no—
558C22×D4—21no—
559C22×D4—21no—
560C22×D4—21no—
561C22×D4—21no—
562C22×D4—22no—
563C22×D4—21no—
564C22×D4—21no—
565C22×D4—21no—
566C22×D4—21no—
567C22×D4—21no—
568C22×D4—21no—
569C22×D4—21no—
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—22no—
577C22×D4—22no—
578C22×D4—41no—
579C22×D4—41no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4—41no—
584C22×D4—41no—
585C22×D4—41no—
586C22×D4—41no—
587C22×D4—41no—
588C22×D4—41no—
589C22×D4—41no—
590C22×D4—41no—
591C22×D4—41no—
592C22×D4—41no—
593C22×D4—41no—
594C22×D4—44no—
595C22×D4—44no—
596C22×D4—44no—
597C22×D4—44no—
598C22×D4—82no—
599C22×D4—82no—
600C22×D4C2×D411yescharacteristic
601C22×D4C2×D414yes—
602C22×D4C2411yescharacteristic
603C22×D4C2411yescharacteristic
604C22×D4C2411yescharacteristic
605C22×D4C2411yescharacteristic
606C22×D4C2411yescharacteristic
607C22×D4C2411yescharacteristic
608C22×D4C2411yescharacteristic
609C23×C4—21no—
610C23×C4—21no—
611C23×C4—21no—
612C23×C4—21no—
613C23×C4—21no—
614C23×C4—21no—
615C23×C4—21no—
616C23×C4—21no—
617C23×C4—21no—
618C23×C4C2×D411yescharacteristic
619C23×C4C2×D411yescharacteristic
620C23×C4C2411yescharacteristic
621C23×C4C2411yescharacteristic
622C2×SD16—22no—
623C2×SD16—22no—
624C2×SD16—22no—
625C2×SD16—22no—
626C2×SD16—22no—
627C2×SD16—22no—
628C2×SD16—22no—
629C2×SD16—22no—
630C2×SD16—41no—
631C2×SD16—41no—
632C2×SD16—41no—
633C2×SD16—41no—
634C2×SD16—41no—
635C2×SD16—41no—
636C2×SD16—41no—
637C2×SD16—41no—
638C2×SD16—41no—
639C2×SD16—41no—
640C2×SD16—41no—
641C2×SD16—41no—
642C2×SD16—41no—
643C2×SD16—41no—
644C2×SD16—41no—
645C2×SD16—41no—
646C2×SD16—416no—
647C2×D8—22no—
648C2×D8—22no—
649C2×D8—22no—
650C2×D8—22no—
651C2×D8—22no—
652C2×D8—22no—
653C2×D8—22no—
654C2×D8—22no—
655C2×D8—22no—
656C2×D8—22no—
657C2×D8—22no—
658C2×D8—22no—
659C2×D8—22no—
660C2×D8—22no—
661C2×D8—22no—
662C2×D8—22no—
663C2×D8—41no—
664C2×D8—41no—
665C2×D8—41no—
666C2×D8—41no—
667C2×D8—41no—
668C2×D8—41no—
669C2×D8—41no—
670C2×D8—41no—
671C2×D8—41no—
672C2×D8—41no—
673C2×D8—41no—
674C2×D8—41no—
675C2×D8—41no—
676C2×D8—41no—
677C2×D8—41no—
678C2×D8—41no—
679C2×D8—41no—
680C2×D8—41no—
681C2×D8—416no—
682C2×D8—416no—
683C2×D8C2×D414yes—
684C2×D8C2×D414yes—
685C22×C8—22no—
686C22×C8—22no—
687C22×C8—22no—
688C22×C8—22no—
689C22×C8—22no—
690C22×C8—22no—
691C22×C8—41no—
692C22×C8—41no—
693C22×C8—41no—
694C22×C8C2411yescharacteristic
695C22×C8C2411yescharacteristic
696C22×C8C2411yescharacteristic
697C22×C8C2411yescharacteristic
698C22×C8C2411yescharacteristic
699C22×C8C2411yescharacteristic
700C22×C8C2411yescharacteristic
701C22×C8C2411yescharacteristic
702C4⋊Q8—22no—
703C4⋊Q8—41no—
704#127—22no—
705#127—22no—
706#127—22no—
707#127—22no—
708#127—41no—
709#127—41no—
710#127—41no—
711#127—41no—
712#127—41no—
713#127—41no—
714#124—22no—
715#124—22no—
716#124—22no—
717#124—22no—
718#124—44no—
719#124—41no—
720#124—41no—
721#124—41no—
722#124—41no—
723#124—44no—
724#124—44no—
725#124—41no—
726#124—41no—
727#124—41no—
728#124—41no—
729#124—44no—
730#123—24no—
731#123—44no—
732#123—82no—
733C22⋊Q8—44no—
734C22⋊Q8—41no—
735C22⋊Q8—41no—
736C22⋊Q8—41no—
737C22⋊Q8—41no—
738#121—22no—
739#121—22no—
740#121—22no—
741#121—22no—
742#121—22no—
743#121—22no—
744#121—22no—
745#121—44no—
746#121—44no—
747#121—41no—
748#121—41no—
749#121—44no—
750#121—44no—
751#121—44no—
752#121—44no—
753#121—41no—
754#121—41no—
755#121—82no—
756#121C2×D414yes—
757#120—44no—
758#120—44no—
759#120—44no—
760#120—44no—
761#120—44no—
762#120—44no—
763#120—82no—
764#120—82no—
765C4×D4—22no—
766C4×D4—22no—
767C4×D4—22no—
768C4×D4—22no—
769C4×D4—22no—
770C4×D4—22no—
771C4×D4—44no—
772C4×D4—41no—
773C4×D4—41no—
774C4×D4—41no—
775C4×D4—41no—
776C4×D4—41no—
777C4×D4—41no—
778C4×D4—41no—
779C4×D4—41no—
780C4×D4—41no—
781C4×D4—41no—
782C4×D4—44no—
783C4×D4—44no—
784C2×C4⋊C4—21no—
785C2×C4⋊C4—21no—
786C2×C4⋊C4—21no—
787C2×C4⋊C4—21no—
788C2×C4⋊C4—21no—
789C2×C4⋊C4—21no—
790C2×C4⋊C4—21no—
791C2×C4⋊C4—21no—
792C2×C4⋊C4—41no—
793C2×C4⋊C4—41no—
794C2×C4⋊C4C2×D411yescharacteristic
795C2×C4⋊C4C2×D411yescharacteristic
796C2×C4⋊C4C2×D411yescharacteristic
797C2×C4⋊C4C2×D411yescharacteristic
798C2×C4⋊C4C2×D411yescharacteristic
799C2×C4⋊C4C2411yescharacteristic
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2411yescharacteristic
802C2×C4⋊C4C2411yescharacteristic
803C2×C4⋊C4C2411yescharacteristic
804C2×C4⋊C4C2411yescharacteristic
805C2×C4⋊C4C2411yescharacteristic
806C2×C22⋊C4—21no—
807C2×C22⋊C4—21no—
808C2×C22⋊C4—21no—
809C2×C22⋊C4—21no—
810C2×C22⋊C4—21no—
811C2×C22⋊C4—21no—
812C2×C22⋊C4—21no—
813C2×C22⋊C4—21no—
814C2×C22⋊C4—21no—
815C2×C22⋊C4—21no—
816C2×C22⋊C4—21no—
817C2×C22⋊C4—21no—
818C2×C22⋊C4—21no—
819C2×C22⋊C4—21no—
820C2×C22⋊C4—21no—
821C2×C22⋊C4—21no—
822C2×C22⋊C4—21no—
823C2×C22⋊C4—21no—
824C2×C22⋊C4—21no—
825C2×C22⋊C4—21no—
826C2×C22⋊C4—21no—
827C2×C22⋊C4—21no—
828C2×C22⋊C4—21no—
829C2×C22⋊C4—21no—
830C2×C22⋊C4—21no—
831C2×C22⋊C4—21no—
832C2×C22⋊C4—21no—
833C2×C22⋊C4—21no—
834C2×C22⋊C4—21no—
835C2×C22⋊C4—21no—
836C2×C22⋊C4—21no—
837C2×C22⋊C4—21no—
838C2×C22⋊C4—21no—
839C2×C22⋊C4—21no—
840C2×C22⋊C4—21no—
841C2×C22⋊C4—21no—
842C2×C22⋊C4—21no—
843C2×C22⋊C4—21no—
844C2×C22⋊C4—21no—
845C2×C22⋊C4—21no—
846C2×C22⋊C4—21no—
847C2×C22⋊C4—21no—
848C2×C22⋊C4—21no—
849C2×C22⋊C4—21no—
850C2×C22⋊C4—21no—
851C2×C22⋊C4—21no—
852C2×C22⋊C4—21no—
853C2×C22⋊C4—21no—
854C2×C22⋊C4—21no—
855C2×C22⋊C4—21no—
856C2×C22⋊C4—21no—
857C2×C22⋊C4—21no—
858C2×C22⋊C4—21no—
859C2×C22⋊C4—44no—
860C2×C22⋊C4—44no—
861C2×C22⋊C4—44no—
862C2×C22⋊C4—44no—
863C2×C22⋊C4—82no—
864C2×C22⋊C4—82no—
865C2×C22⋊C4C2×D411yescharacteristic
866C2×C22⋊C4C2×D411yescharacteristic
867C2×C22⋊C4C2×D411yescharacteristic
868C2×C22⋊C4C2×D411yescharacteristic
869C2×C22⋊C4C2×D411yescharacteristic
870C2×C22⋊C4C2×D411yescharacteristic
871C2×C22⋊C4C2×D411yescharacteristic
872C2×C22⋊C4C2×D411yescharacteristic
873C2×C42—22no—
874C2×C42—22no—
875C2×C42—21no—
876C2×C42C2×D411yescharacteristic
877C2×C42C2×D411yescharacteristic
878C2×C42C2411yescharacteristic
879C2×C42C2411yescharacteristic
880C2×C42C2411yescharacteristic
881C2×C42C2411yescharacteristic
882C2×C42C2411yescharacteristic
883#107—22no—
884#107—41no—
885#106—41no—
886#106—41no—
887C4⋊C8—22no—
888C4⋊C8—22no—
889C4⋊C8—22no—
890C4⋊C8—22no—
891C4⋊C8—41no—
892#103—22no—
893#103—22no—
894#103—22no—
895#103—22no—
896#103—22no—
897#103—22no—
898#103—41no—
899#103—41no—
900#102—22no—
901#102—22no—
902#102—22no—
903#102—22no—
904#102—22no—
905#102—22no—
906#102—22no—
907#102—22no—
908#102—22no—
909#102—22no—
910#102—22no—
911#102—41no—
912#102—41no—
913#102—41no—
914#102—41no—
915#102—41no—
916#102—41no—
917#102—41no—
918#102—41no—
919#102—41no—
920#102—41no—
921#102—41no—
922#102C2×D414yes—
923#102C2×D414yes—
924C22⋊C8—22no—
925C22⋊C8—22no—
926C22⋊C8—22no—
927C22⋊C8—41no—
928C22⋊C8C2×D414yes—
929#97—22no—
930#97—22no—
931#97—22no—
932#97—41no—
933C4×C8—22no—
934#95—21no—
935#95—21no—
936#95—21no—
937#95—21no—
938#95—21no—
939#95—21no—
940#95—21no—
941#95—21no—
942#95—21no—
943#95—21no—
944#95—21no—
945#95—21no—
946#95—21no—
947#95—21no—
948#95—21no—
949#95C2×D411yescharacteristic
950#95C2×D411yescharacteristic
951#95C2×D411yescharacteristic
952#95C2×D411yescharacteristic
953#95C2×D411yescharacteristic
954#95C2×D411yescharacteristic
955#95C2×D411yescharacteristic
956#95C2×D411yescharacteristic
957#95C2×D411yescharacteristic
958#95C2×D411yescharacteristic
959C24—21no—
960C24—21no—
961C24—21no—
962C24—21no—
963C24—24no—
964C24—21no—
965C24—21no—
966C24—21no—
967C24—42no—
968C24—42no—
969C24—42no—
970C24—42no—
971C24—42no—
972C24—42no—
973C24—42no—
974C24—42no—
975C24—42no—
976C24—42no—
977C24—42no—
978C24—81no—
979C24—81no—
980C24—81no—
981C24—81no—
982C24—81no—
983C24—81no—
984C24—81no—
985C24—81no—
986C24—81no—
987C24—81no—
988C24—81no—
989C24—81no—
990C24—81no—
991C24—81no—
992C24—81no—
993C24—81no—
994C24C22×D411yescharacteristic
995C24C22×D411yescharacteristic
996#41—816no—
997C2×Q8—21no—
998C2×Q8—21no—
999C2×Q8—21no—
1000C2×Q8—21no—
1001C2×Q8—21no—
1002C2×Q8—21no—
1003C2×Q8—21no—
1004C2×Q8—21no—
1005C2×Q8—21no—
1006C2×Q8—21no—
1007C2×Q8—21no—
1008C2×Q8—21no—
1009C2×Q8—42no—
1010C2×Q8—42no—
1011C2×Q8—44no—
1012C2×Q8—44no—
1013C2×Q8—42no—
1014C2×Q8—81no—
1015C2×Q8—81no—
1016C2×Q8—81no—
1017C2×Q8—82no—
1018C2×Q8—82no—
1019C2×D4—22no—
1020C2×D4—22no—
1021C2×D4—24no—
1022C2×D4—24no—
1023C2×D4—21no—
1024C2×D4—21no—
1025C2×D4—21no—
1026C2×D4—21no—
1027C2×D4—21no—
1028C2×D4—21no—
1029C2×D4—21no—
1030C2×D4—21no—
1031C2×D4—21no—
1032C2×D4—21no—
1033C2×D4—21no—
1034C2×D4—21no—
1035C2×D4—21no—
1036C2×D4—21no—
1037C2×D4—21no—
1038C2×D4—21no—
1039C2×D4—21no—
1040C2×D4—21no—
1041C2×D4—21no—
1042C2×D4—21no—
1043C2×D4—21no—
1044C2×D4—21no—
1045C2×D4—21no—
1046C2×D4—21no—
1047C2×D4—21no—
1048C2×D4—21no—
1049C2×D4—21no—
1050C2×D4—21no—
1051C2×D4—21no—
1052C2×D4—21no—
1053C2×D4—21no—
1054C2×D4—21no—
1055C2×D4—21no—
1056C2×D4—21no—
1057C2×D4—21no—
1058C2×D4—21no—
1059C2×D4—21no—
1060C2×D4—21no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—42no—
1066C2×D4—42no—
1067C2×D4—42no—
1068C2×D4—42no—
1069C2×D4—42no—
1070C2×D4—42no—
1071C2×D4—42no—
1072C2×D4—42no—
1073C2×D4—42no—
1074C2×D4—42no—
1075C2×D4—42no—
1076C2×D4—42no—
1077C2×D4—42no—
1078C2×D4—42no—
1079C2×D4—42no—
1080C2×D4—42no—
1081C2×D4—42no—
1082C2×D4—44no—
1083C2×D4—44no—
1084C2×D4—42no—
1085C2×D4—42no—
1086C2×D4—42no—
1087C2×D4—42no—
1088C2×D4—42no—
1089C2×D4—42no—
1090C2×D4—42no—
1091C2×D4—42no—
1092C2×D4—42no—
1093C2×D4—42no—
1094C2×D4—42no—
1095C2×D4—42no—
1096C2×D4—42no—
1097C2×D4—42no—
1098C2×D4—42no—
1099C2×D4—82no—
1100C2×D4—82no—
1101C2×D4—82no—
1102C2×D4—82no—
1103C2×D4—81no—
1104C2×D4—81no—
1105C2×D4—81no—
1106C2×D4—81no—
1107C2×D4—81no—
1108C2×D4—81no—
1109C2×D4—81no—
1110C2×D4—81no—
1111C2×D4—81no—
1112C2×D4—81no—
1113C2×D4—81no—
1114C2×D4—81no—
1115C2×D4—81no—
1116C2×D4—81no—
1117C2×D4—81no—
1118C2×D4—81no—
1119C2×D4—81no—
1120C2×D4—81no—
1121C2×D4—81no—
1122C2×D4—81no—
1123C2×D4—81no—
1124C2×D4—81no—
1125C2×D4—82no—
1126C2×D4—82no—
1127C2×D4—82no—
1128C2×D4—82no—
1129C2×D4—82no—
1130C2×D4—82no—
1131C2×D4—81no—
1132C2×D4—81no—
1133C2×D4—81no—
1134C2×D4—81no—
1135C2×D4—816no—
1136C2×D4—816no—
1137C2×D4AGL(1,ℤ/8)14yes—
1138C2×D4C22×D412yes—
1139C2×D4C22×D412yes—
1140C2×D4C22×D412yes—
1141C2×D4H(5,𝔽2)12yes—
1142C22×C4—21no—
1143C22×C4—21no—
1144C22×C4—21no—
1145C22×C4—21no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—21no—
1150C22×C4—22no—
1151C22×C4—21no—
1152C22×C4—21no—
1153C22×C4—21no—
1154C22×C4—21no—
1155C22×C4—21no—
1156C22×C4—21no—
1157C22×C4—21no—
1158C22×C4—21no—
1159C22×C4—21no—
1160C22×C4—21no—
1161C22×C4—21no—
1162C22×C4—21no—
1163C22×C4—21no—
1164C22×C4—21no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—42no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—42no—
1176C22×C4—42no—
1177C22×C4—42no—
1178C22×C4—81no—
1179C22×C4—81no—
1180C22×C4—81no—
1181C22×C4—81no—
1182C22×C4—81no—
1183C22×C4—81no—
1184C22×C4—81no—
1185C22×C4—81no—
1186C22×C4—81no—
1187C22×C4—81no—
1188C22×C4—81no—
1189C22×C4—81no—
1190C22×C4—81no—
1191C22×C4—81no—
1192C22×C4—81no—
1193C22×C4—81no—
1194C22×C4C22×D411yescharacteristic
1195C22×C4C22×D411yescharacteristic
1196C22×C4C22×D411yescharacteristic
1197C22×C4C22×D411yescharacteristic
1198C22×C4C22×D411yescharacteristic
1199C22×C4C22×D411yescharacteristic
1200C22×C4C22×D411yescharacteristic
1201C22×C4C22×D411yescharacteristic
1202C22×C4C22×D411yescharacteristic
1203C22×C4C22×D411yescharacteristic
1204C22×C4C22×D411yescharacteristic
1205C22×C4C22×D412yes—
1206C22×C4C22×D411yescharacteristic
1207C22×C4H(5,𝔽2)12yes—
1208C22×C4C2511yescharacteristic
1209SD16—44no—
1210SD16—44no—
1211SD16—44no—
1212SD16—44no—
1213SD16—82no—
1214SD16—82no—
1215SD16—82no—
1216SD16—82no—
1217D8—28no—
1218D8—44no—
1219D8—44no—
1220D8—44no—
1221D8—44no—
1222D8—44no—
1223D8—44no—
1224D8—44no—
1225D8—82no—
1226D8—82no—
1227D8—82no—
1228D8—82no—
1229C2×C8—21no—
1230C2×C8—21no—
1231C2×C8—21no—
1232C2×C8—21no—
1233C2×C8—21no—
1234C2×C8—21no—
1235C2×C8—21no—
1236C2×C8—21no—
1237C2×C8—21no—
1238C2×C8—21no—
1239C2×C8—21no—
1240C2×C8—21no—
1241C2×C8—21no—
1242C2×C8—21no—
1243C2×C8—21no—
1244C2×C8—21no—
1245C2×C8—21no—
1246C2×C8—21no—
1247C2×C8—21no—
1248C2×C8—21no—
1249C2×C8—44no—
1250C2×C8—44no—
1251C2×C8—44no—
1252C2×C8C22×D412yes—
1253C2×C8C22×D412yes—
1254C2×C8H(5,𝔽2)12yes—
1255C2×C8H(5,𝔽2)12yes—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—21no—
1260C4⋊C4—21no—
1261C4⋊C4—21no—
1262C4⋊C4—21no—
1263C4⋊C4—21no—
1264C4⋊C4—21no—
1265C4⋊C4—21no—
1266C4⋊C4—21no—
1267C4⋊C4—21no—
1268C4⋊C4—21no—
1269C4⋊C4—21no—
1270C4⋊C4—21no—
1271C4⋊C4—21no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—81no—
1278C4⋊C4—81no—
1279C4⋊C4—81no—
1280C4⋊C4—81no—
1281C4⋊C4—81no—
1282C4⋊C4C22×D412yes—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—24no—
1289C22⋊C4—22no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—42no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—42no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—42no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—42no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—42no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—42no—
1314C22⋊C4—42no—
1315C22⋊C4—42no—
1316C22⋊C4—42no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—81no—
1321C22⋊C4—81no—
1322C22⋊C4—81no—
1323C22⋊C4—81no—
1324C22⋊C4—81no—
1325C22⋊C4—81no—
1326C22⋊C4—81no—
1327C22⋊C4—81no—
1328C22⋊C4—81no—
1329C22⋊C4—81no—
1330C22⋊C4—81no—
1331C22⋊C4—81no—
1332C22⋊C4—81no—
1333C22⋊C4—81no—
1334C22⋊C4—81no—
1335C22⋊C4—81no—
1336C22⋊C4—81no—
1337C22⋊C4—81no—
1338C22⋊C4—81no—
1339C22⋊C4—81no—
1340C22⋊C4—81no—
1341C22⋊C4—81no—
1342C22⋊C4—81no—
1343C22⋊C4—81no—
1344C42—22no—
1345C42—22no—
1346C42—21no—
1347C42—21no—
1348C42—21no—
1349C42—21no—
1350C42—21no—
1351C42—21no—
1352C42—21no—
1353C42—21no—
1354C42—21no—
1355C42—21no—
1356C42—42no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—22no—
1368C23—22no—
1369C23—22no—
1370C23—22no—
1371C23—41no—
1372C23—41no—
1373C23—41no—
1374C23—41no—
1375C23—41no—
1376C23—41no—
1377C23—41no—
1378C23—41no—
1379C23—41no—
1380C23—41no—
1381C23—41no—
1382C23—41no—
1383C23—41no—
1384C23—41no—
1385C23—41no—
1386C23—41no—
1387C23—41no—
1388C23—41no—
1389C23—41no—
1390C23—41no—
1391C23—41no—
1392C23—41no—
1393C23—41no—
1394C23—41no—
1395C23—48no—
1396C23—41no—
1397C23—41no—
1398C23—41no—
1399C23—41no—
1400C23—41no—
1401C23—41no—
1402C23—41no—
1403C23—41no—
1404C23—41no—
1405C23—41no—
1406C23—41no—
1407C23—41no—
1408C23—41no—
1409C23—41no—
1410C23—41no—
1411C23—41no—
1412C23—41no—
1413C23—41no—
1414C23—41no—
1415C23—41no—
1416C23—41no—
1417C23—84no—
1418C23—84no—
1419C23—84no—
1420C23—84no—
1421C23—84no—
1422C23—84no—
1423C23—84no—
1424C23—84no—
1425C23—84no—
1426C23—84no—
1427C23—84no—
1428C23—162no—
1429C23—162no—
1430C23—162no—
1431C23—162no—
1432C23—162no—
1433C23—162no—
1434C23—162no—
1435C23—162no—
1436C23—162no—
1437C23—162no—
1438C23—162no—
1439C23—162no—
1440C23—162no—
1441C23—162no—
1442C23—162no—
1443C23—162no—
1444C23D4212yes—
1445C23C2×AGL(1,ℤ/8)12yes—
1446C23C2×AGL(1,ℤ/8)12yes—
1447C23#57612yes—
1448C23C23×D411yescharacteristic
1449Q8—41no—
1450Q8—41no—
1451Q8—41no—
1452Q8—41no—
1453Q8—41no—
1454Q8—41no—
1455Q8—41no—
1456Q8—41no—
1457Q8—84no—
1458Q8—84no—
1459D4—28no—
1460D4—22no—
1461D4—22no—
1462D4—22no—
1463D4—22no—
1464D4—22no—
1465D4—22no—
1466D4—22no—
1467D4—22no—
1468D4—48no—
1469D4—41no—
1470D4—41no—
1471D4—41no—
1472D4—41no—
1473D4—41no—
1474D4—41no—
1475D4—41no—
1476D4—41no—
1477D4—41no—
1478D4—41no—
1479D4—41no—
1480D4—41no—
1481D4—41no—
1482D4—41no—
1483D4—41no—
1484D4—41no—
1485D4—41no—
1486D4—41no—
1487D4—41no—
1488D4—41no—
1489D4—84no—
1490D4—84no—
1491D4—84no—
1492D4—84no—
1493D4—84no—
1494D4—84no—
1495D4—84no—
1496D4—84no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—84no—
1501D4—84no—
1502D4—162no—
1503D4—162no—
1504D4—162no—
1505D4—162no—
1506D4—162no—
1507D4—162no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—44no—
1548C2×C4—41no—
1549C2×C4—41no—
1550C2×C4—41no—
1551C2×C4—41no—
1552C2×C4—41no—
1553C2×C4—41no—
1554C2×C4—41no—
1555C2×C4—41no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—41no—
1563C2×C4—41no—
1564C2×C4—41no—
1565C2×C4—41no—
1566C2×C4—41no—
1567C2×C4—41no—
1568C2×C4—41no—
1569C2×C4—41no—
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—84no—
1579C2×C4—84no—
1580C2×C4—82no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—162no—
1585C2×C4—162no—
1586C2×C4—162no—
1587C2×C4—162no—
1588C2×C4D4212yes—
1589C2×C4C2×AGL(1,ℤ/8)12yes—
1590C2×C4C23×D411yescharacteristic
1591C2×C4C2×H(5,𝔽2)11yescharacteristic
1592C2×C4C2×H(5,𝔽2)11yescharacteristic
1593C2×C4C2×H(5,𝔽2)11yescharacteristic
1594C2×C4C2×H(5,𝔽2)11yescharacteristic
1595C2×C4#58511yescharacteristic
1596C8—22no—
1597C8—22no—
1598C8—22no—
1599C8—22no—
1600C8—41no—
1601C8—41no—
1602C8—41no—
1603C8—41no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—42no—
1624C22—42no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—81no—
1630C22—81no—
1631C22—81no—
1632C22—81no—
1633C22—81no—
1634C22—81no—
1635C22—81no—
1636C22—81no—
1637C22—81no—
1638C22—81no—
1639C22—81no—
1640C22—81no—
1641C22—81no—
1642C22—81no—
1643C22—81no—
1644C22—81no—
1645C22—81no—
1646C22—81no—
1647C22—81no—
1648C22—81no—
1649C22—81no—
1650C22—81no—
1651C22—81no—
1652C22—81no—
1653C22—81no—
1654C22—81no—
1655C22—81no—
1656C22—81no—
1657C22—81no—
1658C22—81no—
1659C22—81no—
1660C22—81no—
1661C22—81no—
1662C22—81no—
1663C22—81no—
1664C22—81no—
1665C22—81no—
1666C22—168no—
1667C22—168no—
1668C22—168no—
1669C22—168no—
1670C22#326414yes—
1671C22C2×D4211yescharacteristic
1672C22#348811yescharacteristic
1673C22#349811yescharacteristic
1674C22C22×AGL(1,ℤ/8)11yescharacteristic
1675C22C2×#57611yescharacteristic
1676C22#358411yescharacteristic
1677C22#358511yescharacteristic
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—42no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—81no—
1692C4—81no—
1693C4—81no—
1694C4—81no—
1695C4—81no—
1696C4—81no—
1697C4—81no—
1698C4—81no—
1699C4#348411yescharacteristic
1700C4#349611yescharacteristic
1701C4#353211yescharacteristic
1702C4#354211yescharacteristic
1703C2—24no—
1704C2—42no—
1705C2—82no—
1706C2—82no—
1707C2—82no—
1708C2—82no—
1709C2—161no—
1710C2—161no—
1711C2—161no—
1712C2#4388611yescharacteristic
1713C2C2×#326411yescharacteristic
1714C2#6107411yescharacteristic
1715C2#6198911yescharacteristic
1716C2#6201511yescharacteristic
1717C2#6243611yescharacteristic
1718C2#6244711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#123 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×D4×D8C2semidirect
2. C2×#3213C2semidirect
3. #59095C2semidirect
4. #38906C2semidirect
5. #31222C2semidirect
6. #30898C2semidirect
7. #30847C2semidirect
8. #30749C2semidirect
9. #30735C2semidirect
10. #30535C2semidirect
11. #30468C2semidirect
12. #30460C2semidirect
13. #28931C2semidirect
14. #28475C2semidirect
15. #26826C2semidirect
16. #26585C2semidirect
17. #25788C2semidirect
18. #25783C2semidirect
19. #25496C2semidirect
20. #25376C2semidirect
21. #25172C2semidirect
22. #25114C2semidirect
23. #25090C2semidirect
24. #24506C2semidirect
25. #24424C2semidirect
26. #24355C2semidirect
27. #24354C2semidirect
28. #23849C2semidirect
29. C2×#2012C2semidirect
30. #22908C2semidirect
31. #22858C2semidirect
32. C23×SD16C22semidirect
38. C2×#532C22semidirect
39. C22×#124C22semidirect
42. C2×#496C22semidirect
43. C2×#496C22semidirect
44. C2×#496C22semidirect
45. C2×#496C22semidirect
47. C2×#489C22semidirect
48. C2×#489C22semidirect
51. C2×#466C22semidirect
52. C2×#465C22semidirect
53. C2×#463C22semidirect
54. C2×#463C22semidirect
55. C2×#463C22semidirect
56. C2×#463C22semidirect
57. C2×#463C22semidirect
60. C2×#459C22semidirect
61. C2×#459C22semidirect
62. C2×#448C22semidirect
63. C2×#448C22semidirect
64. C2×#450C22semidirect
65. C2×#450C22semidirect
70. C2×#447C22semidirect
71. C2×#447C22semidirect
72. C2×#442C22semidirect
75. C2×#432C22semidirect
76. C22×#103C22semidirect
77. C22×#102C22semidirect
78. #2854C22semidirect
86. #2544C22semidirect
87. #2544C22semidirect
88. #2541C22semidirect
89. #2491C22semidirect
91. #2452C22semidirect
92. #2447C22semidirect
93. #2447C22semidirect
94. #2445C22semidirect
95. #2436C22semidirect
96. #2435C22semidirect
97. #2435C22semidirect
98. #2433C22semidirect
99. #2433C22semidirect
100. #2428C22semidirect
101. #2427C22semidirect
102. #2427C22semidirect
111. #2366C22semidirect
112. #2361C22semidirect
113. D4×C22⋊C4C22semidirect
114. D4×C22⋊C4C22semidirect
117. C2×#390C22semidirect
118. #2068C22semidirect
119. #2066C22semidirect
120. #2065C22semidirect
121. #2065C22semidirect
122. #2057C22semidirect
123. #2055C22semidirect
124. #2055C22semidirect
126. #2054C22semidirect
127. #2054C22semidirect
128. #2054C22semidirect
129. #2042C22semidirect
130. #2041C22semidirect
131. #2041C22semidirect
132. #2035C22semidirect
133. #2033C22semidirect
134. #2023C22semidirect
135. #2014C22semidirect
136. #2014C22semidirect
137. #2014C22semidirect
138. #2014C22semidirect
141. #2012C22semidirect
142. #2012C22semidirect
143. #2012C22semidirect
144. #2012C22semidirect
145. #2012C22semidirect
146. #2012C22semidirect
147. #2012C22semidirect
148. #2012C22semidirect
149. #2012C22semidirect
151. #2011C22semidirect
152. #2011C22semidirect
153. #2011C22semidirect
154. #2000C22semidirect
155. #2000C22semidirect
156. #2000C22semidirect
157. #1999C22semidirect
158. #1983C22semidirect
159. #1973C22semidirect
160. #1973C22semidirect
161. #1972C22semidirect
162. #1972C22semidirect
163. #1972C22semidirect
164. #1968C22semidirect
165. #1940C22semidirect
166. #1936C22semidirect
167. #1936C22semidirect
168. #1936C22semidirect
169. #1933C22semidirect
170. #1928C22semidirect
171. #1926C22semidirect
172. #1924C22semidirect
173. #1924C22semidirect
174. #1917C22semidirect
175. #1916C22semidirect
176. #1893C22semidirect
177. #1893C22semidirect
178. #1892C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1879C22semidirect
182. #1879C22semidirect
183. #1879C22semidirect
184. #1879C22semidirect
185. #1879C22semidirect
186. #1877C22semidirect
187. #1877C22semidirect
188. #1877C22semidirect
189. #1874C22semidirect
191. #1864C22semidirect
192. #1862C22semidirect
193. #1862C22semidirect
194. #1862C22semidirect
195. #1853C22semidirect
196. #1850C22semidirect
197. #1850C22semidirect
198. #1786C22semidirect
199. #1786C22semidirect
200. #1771C22semidirect
201. #1762C22semidirect
202. #1752C22semidirect
203. #1752C22semidirect
204. C2×#336C22semidirect
345. #447D4semidirect

Maximal subgroups

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

subgroupindex
C2×D4×D82
C2×#32132
#590952
#389062
#312222
#308982
#308472
#307492
#307352
#305352
#304682
#304602
#289312
#284752
#268262
#265852
#257882
#257832
#254962
#253762
#251722
#251142
#250902
#245062
#244242
#243552
#243542
#238492
C2×#20122
#229082
#228582