Finite Group Databasebeta

← #7561671

Subgroups — #7561671

Order 512.

2328 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3333C211yesmaximal, characteristic, complemented
2C2×#3275C211yesmaximal, characteristic, complemented
3#59650C211yesmaximal, characteristic, complemented
4#36430C211yesmaximal, characteristic, complemented
5#30875C211yesmaximal, characteristic, complemented
6#30740C211yesmaximal, characteristic, complemented
7#30581C211yesmaximal, characteristic, complemented
8#30413C211yesmaximal, characteristic, complemented
9#28921C211yesmaximal, characteristic, complemented
10#28582C211yesmaximal, characteristic, complemented
11#28312C211yesmaximal, characteristic, complemented
12#27239C211yesmaximal, characteristic, complemented
13#26942C211yesmaximal, characteristic, complemented
14#26377C211yesmaximal, characteristic, complemented
15#26173C211yesmaximal, characteristic, complemented
16#25561C211yesmaximal, characteristic, complemented
17#25429C211yesmaximal, characteristic, complemented
18#25258C211yesmaximal, characteristic, complemented
19#25179C211yesmaximal, characteristic, complemented
20#25175C211yesmaximal, characteristic, complemented
21#25136C211yesmaximal, characteristic, complemented
22#24450C211yesmaximal, characteristic, complemented
23#24441C211yesmaximal, characteristic, complemented
24#24052C211yesmaximal, characteristic, complemented
25#23871C211yesmaximal, characteristic, complemented
26#23869C211yesmaximal, characteristic, complemented
27#23121C211yesmaximal, characteristic, complemented
28#22883C211yesmaximal, characteristic, complemented
29#22445C211yesmaximal, characteristic, complemented
30#21457C211yesmaximal, characteristic, complemented
31#20928C211yesmaximal, characteristic, complemented
32C22×#137C2211yescharacteristic
33C22×AGL(1,ℤ/8)C2211yescharacteristic
34C2×#554C2211yescharacteristic
35C2×#550C2211yescharacteristic
36C2×#548C2211yescharacteristic
37C2×#548C2211yescharacteristic, complemented
38C2×#546C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#3333—28no—
41#3275—28no—
42C2×#495C2211yescharacteristic
43C2×#486C2211yescharacteristic, complemented
44C2×#483C2211yescharacteristic
45C2×#480C2211yescharacteristic
46C2×#480C2211yescharacteristic, complemented
47C2×#477C2211yescharacteristic, complemented
48C2×#470C2211yescharacteristic
49C2×#469C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic
52C2×#468C2211yescharacteristic, complemented
53C2×#464C2211yescharacteristic
54C2×#460C2211yescharacteristic, complemented
55C2×#463C2211yescharacteristic
56C2×#452C2211yescharacteristic
57C2×#452C2211yescharacteristic, complemented
58C2×#449C2211yescharacteristic
59C2×#449C2211yescharacteristic
60C2×#449C2211yescharacteristic
61C2×#449C2211yescharacteristic
62C2×#448C2211yescharacteristic
63C2×#450C2211yescharacteristic
64C2×#447C2211yescharacteristic
65C2×#441C2211yescharacteristic, complemented
66C2×#440C2211yescharacteristic, complemented
67C2×C4×Q16C2211yescharacteristic, complemented
68C2×C4×SD16C2211yescharacteristic
69C2×#436C2211yescharacteristic
70C2×#436C2211yescharacteristic
71C2×#417C2211yescharacteristic
72C2×#417C2211yescharacteristic, complemented
73C2×#418C2211yescharacteristic
74#2850—21no—
75#2850C2211yescharacteristic
76#2711—21no—
77#2696—21no—
78#2558—21no—
79#2544—21no—
80#2544C2211yescharacteristic, complemented
81#2540—21no—
82#2535—21no—
83#2535C2211yescharacteristic, complemented
84#2491C2211yescharacteristic
85#2487C2211yescharacteristic
86#2472—21no—
87#2452C2211yescharacteristic
88#2448C2211yescharacteristic
89#2437—21no—
90#2428—21no—
91#2428C2211yescharacteristic, complemented
92#2427—21no—
93#2427C2211yescharacteristic, complemented
94#2426C2211yescharacteristic
95#2424—21no—
96#2416C2211yescharacteristic
97#2415—21no—
98#2415C2211yescharacteristic
99#2414—21no—
100#2414C2211yescharacteristic
101#2408C2211yescharacteristic
102#2407C2211yescharacteristic
103#2361C2211yescharacteristic
104#2358—21no—
105#2351C2211yescharacteristic, complemented
106#2341C2211yescharacteristic
107#2341C2211yescharacteristic, complemented
108Q8×C22⋊C4C2211yescharacteristic, complemented
109C4×C22⋊Q8C2211yescharacteristic
110C4×#121—21no—
111C4×#121C2211yescharacteristic
112C2×#390C2211yescharacteristic
113#2092C2211yescharacteristic
114#2092C2211yescharacteristic
115#2087C2211yescharacteristic, complemented
116#2085C2211yescharacteristic, complemented
117#2075C2211yescharacteristic, complemented
118#2074C2211yescharacteristic, complemented
119#2067C2211yescharacteristic
120#2065C2211yescharacteristic, complemented
121#2058C2211yescharacteristic, complemented
122#2055C2211yescharacteristic
123#2042C2211yescharacteristic
124#2042C2211yescharacteristic, complemented
125#2042C2211yescharacteristic, complemented
126#2042C2211yescharacteristic, complemented
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic, complemented
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic, complemented
133#2024C2211yescharacteristic, complemented
134#2015C2211yescharacteristic, complemented
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic
138#2011C2211yescharacteristic
139#2011C2211yescharacteristic
140#2001C2211yescharacteristic, complemented
141#2000C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1973C2211yescharacteristic
146#1973C2211yescharacteristic
147#1972C2211yescharacteristic
148#1972C2211yescharacteristic
149#1968C2211yescharacteristic
150#1942C2211yescharacteristic, complemented
151#1934C2211yescharacteristic
152#1934C2211yescharacteristic, complemented
153#1928C2211yescharacteristic, complemented
154#1926C2211yescharacteristic, complemented
155#1924C2211yescharacteristic, complemented
156#1924C2211yescharacteristic, complemented
157#1916C2211yescharacteristic, complemented
158#1916C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1894C2211yescharacteristic
163#1880C2211yescharacteristic
164#1880C2211yescharacteristic
165#1880C2211yescharacteristic
166#1880C2211yescharacteristic
167#1880C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1878C2211yescharacteristic, complemented
176#1878C2211yescharacteristic, complemented
177#1878C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1873C2211yescharacteristic
180#1872C2211yescharacteristic, complemented
181#1870C2211yescharacteristic
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1865C2211yescharacteristic, complemented
187#1865C2211yescharacteristic, complemented
188#1864C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic
191#1854C2211yescharacteristic
192#1853C2211yescharacteristic, complemented
193#1809C2211yescharacteristic, complemented
194#1788C2211yescharacteristic
195#1788C2211yescharacteristic
196#1787C2211yescharacteristic, complemented
197#1787C2211yescharacteristic, complemented
198#1763C2211yescharacteristic, complemented
199#1762C2211yescharacteristic, complemented
200#1753C2211yescharacteristic, complemented
201#1753C2211yescharacteristic, complemented
202#1749C2211yescharacteristic
203#1736C2211yescharacteristic
204#1728C2211yescharacteristic
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C23×Q8C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×#137—24no—
211C2×#137—24no—
212C2×#137—42no—
213C2×AGL(1,ℤ/8)—24no—
214C2×AGL(1,ℤ/8)—24no—
215C2×AGL(1,ℤ/8)—42no—
216C22×Q16C2311yescharacteristic
217C22×Q16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×SD16C2311yescharacteristic
223C22×SD16C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×D8C2311yescharacteristic
226C22×D8C2311yescharacteristic
227C22×D8C2311yescharacteristic
228C22×M16C2311yescharacteristic
229C22×M16C2311yescharacteristic
230C22×M16C2311yescharacteristic
231C22×M16C2311yescharacteristic
232#554—24no—
233#554—42no—
234#550—24no—
235#550—42no—
236#548—24no—
237#548—42no—
238#548—42no—
239#548—42no—
240#546—24no—
241#546—42no—
242C2×C4⋊Q8C2311yescharacteristic
243C2×#127—21no—
244C2×#127C2311yescharacteristic
245C2×#125—21no—
246C2×#124—21no—
247C2×#124—21no—
248C2×#124—21no—
249C2×#124C2311yescharacteristic
250C2×#124C2311yescharacteristic
251C2×#124C2311yescharacteristic
252C2×#123—21no—
253C2×C22⋊Q8—21no—
254C2×C22⋊Q8—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8—21no—
258C2×C22⋊Q8C2311yescharacteristic
259C2×C22⋊Q8C2311yescharacteristic
260C2×C22⋊Q8C2311yescharacteristic
261C2×C22⋊Q8C2311yescharacteristic
262C2×#121—21no—
263C2×#121—21no—
264C2×#121—21no—
265C2×#121—21no—
266C2×#121—21no—
267C2×#121—21no—
268C2×#121—21no—
269C2×#121D411yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#121C2311yescharacteristic
274C2×#121C2311yescharacteristic
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#120—21no—
278C2×#120—21no—
279C4×#41—42no—
280C4×#41—42no—
281C2×C4×Q8C2311yescharacteristic
282C2×C4×Q8C2311yescharacteristic
283C2×C4×Q8C2311yescharacteristic
284C2×C4×Q8C2311yescharacteristic
285C2×C4×Q8C2311yescharacteristic
286C2×C4×Q8C2311yescharacteristic
287C2×C4×D4—21no—
288C2×C4×D4—21no—
289C2×C4×D4—21no—
290C2×C4×D4—21no—
291C2×C4×D4—21no—
292C2×C4×D4—21no—
293C2×C4×D4—21no—
294C2×C4×D4C2311yescharacteristic
295C2×C4×D4C2311yescharacteristic
296C2×C4×D4C2311yescharacteristic
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×#117—21no—
301C2×#117C2311yescharacteristic
302C22×C4⋊C4C2311yescharacteristic
303C22×C4⋊C4C2311yescharacteristic
304C22×C22⋊C4—21no—
305C22×C22⋊C4—21no—
306C22×C22⋊C4—21no—
307C22×C42—21no—
308C22×C42C2311yescharacteristic
309#495—24no—
310#486—24no—
311#483—42no—
312#480—24no—
313#480—24no—
314#477—24no—
315#470—24no—
316#469—24no—
317#468—24no—
318#468—24no—
319#468—42no—
320#464—24no—
321#463—24no—
322#460—24no—
323#452—24no—
324#452D418yescomplemented
325#450—24no—
326#449—24no—
327#449—24no—
328#449—42no—
329#449—42no—
330#448—24no—
331#447—42no—
332#441—42no—
333#440—42no—
334C4×Q16—24no—
335C4×SD16—24no—
336#436—24no—
337#436—24no—
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#107C2311yescharacteristic
341C2×#107C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×#106C2311yescharacteristic
345C2×#106C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347C2×C4⋊C8C2311yescharacteristic
348#418—42no—
349#417—24no—
350#417—24no—
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#103C2311yescharacteristic
362C2×#103C2311yescharacteristic
363C2×#103C2311yescharacteristic
364C2×#103C2311yescharacteristic
365C2×#102C2311yescharacteristic
366C2×#102C2311yescharacteristic
367C2×#102C2311yescharacteristic
368C2×#102C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×#97C2311yescharacteristic
392C2×#97C2311yescharacteristic
393C2×C4×C8C2311yescharacteristic
394C2×C4×C8C2311yescharacteristic
395#400—21no—
396#399—21no—
397#399—21no—
398#397—21no—
399#397—21no—
400#397—21no—
401#397—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#394—21no—
406#394—21no—
407#394—21no—
408#394—21no—
409#394—21no—
410#394—21no—
411#394—21no—
412#394—21no—
413#394—21no—
414#394—21no—
415#394—21no—
416#393—21no—
417#393—21no—
418#392—21no—
419#392—21no—
420#392—21no—
421#392—21no—
422#392—21no—
423#391—21no—
424#391—21no—
425#391C2311yescharacteristic
426#391C2311yescharacteristic
427#391C2311yescharacteristic
428#390—21no—
429#390—21no—
430#390—21no—
431#390—21no—
432#390—21no—
433#390—21no—
434#390—21no—
435#390—21no—
436#390D411yescharacteristic
437#390C2311yescharacteristic
438#390C2311yescharacteristic
439#390C2311yescharacteristic
440#390C2311yescharacteristic
441#390C2311yescharacteristic
442#390C2311yescharacteristic
443#390C2311yescharacteristic
444#390C2311yescharacteristic
445#389—21no—
446#389—21no—
447#389—21no—
448#389D411yescharacteristic
449#389C2311yescharacteristic
450#389C2311yescharacteristic
451#389C2311yescharacteristic
452#389C2311yescharacteristic
453#389C2311yescharacteristic
454#388—21no—
455#388—21no—
456#388—21no—
457#388—21no—
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388D411yescharacteristic
464#388D411yescharacteristic
465#387—21no—
466#386—21no—
467#386—21no—
468#386—21no—
469#386—21no—
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#386D411yescharacteristic
479#386D411yescharacteristic
480#385—21no—
481#385—21no—
482#385—21no—
483#385—21no—
484#385—21no—
485#382—21no—
486#382C2311yescharacteristic
487#380—21no—
488#380—21no—
489#380—21no—
490#380—21no—
491#380D411yescharacteristic
492#380C2311yescharacteristic
493#380C2311yescharacteristic
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#379—21no—
498C4×C4⋊C4—21no—
499C4×C4⋊C4—21no—
500C4×C4⋊C4C2311yescharacteristic
501C4×C4⋊C4C2311yescharacteristic
502C4×C22⋊C4—21no—
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4—21no—
506C4×C22⋊C4C2311yescharacteristic
507C4×C22⋊C4C2311yescharacteristic
508#340C2311yescharacteristic
509#340C2311yescharacteristic
510#340C2311yescharacteristic
511#340C2311yescharacteristic
512#340C2311yescharacteristic
513#340C2311yescharacteristic
514#340C2311yescharacteristic
515#340C2311yescharacteristic
516#340C2311yescharacteristic
517#340C2311yescharacteristic
518#340C2311yescharacteristic
519#340C2311yescharacteristic
520#336C2311yescharacteristic
521#336C2311yescharacteristic
522#336C2311yescharacteristic
523#336C2311yescharacteristic
524#336C2311yescharacteristic
525#336C2311yescharacteristic
526#336C2311yescharacteristic
527#336C2311yescharacteristic
528#336C2311yescharacteristic
529#336C2311yescharacteristic
530C25—21no—
531C2×#41—22no—
532C2×#41—22no—
533C2×#41—22no—
534C2×#41—22no—
535C2×#41—22no—
536C2×#41—22no—
537C2×#41—22no—
538C2×#41—22no—
539C2×#41—41no—
540C2×#41—41no—
541C2×#41—41no—
542C2×#41—41no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41C2×D414yes—
549C22×Q8—21no—
550C22×Q8—21no—
551C22×Q8—22no—
552C22×Q8—22no—
553C22×Q8—22no—
554C22×Q8—41no—
555C22×Q8—41no—
556C22×Q8—41no—
557C22×Q8C2411yescharacteristic
558C22×Q8C2411yescharacteristic
559C22×Q8C2411yescharacteristic
560C22×D4—21no—
561C22×D4—22no—
562C22×D4—21no—
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—22no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—22no—
576C22×D4—41no—
577C22×D4—41no—
578C22×D4—41no—
579C22×D4C2×D411yescharacteristic
580C22×D4C2×D411yescharacteristic
581C22×D4C2×D411yescharacteristic
582C22×D4C2411yescharacteristic
583C22×D4C2411yescharacteristic
584C22×D4C2411yescharacteristic
585C22×D4C2411yescharacteristic
586C23×C4—21no—
587C23×C4—21no—
588C23×C4—21no—
589C23×C4—21no—
590C23×C4—21no—
591C23×C4—21no—
592C23×C4—21no—
593C23×C4—21no—
594C23×C4—21no—
595C23×C4C2×D411yescharacteristic
596C23×C4C2×D411yescharacteristic
597C23×C4C2411yescharacteristic
598C23×C4C2411yescharacteristic
599C23×C4C2411yescharacteristic
600#137—416no—
601AGL(1,ℤ/8)—416no—
602C2×Q16—22no—
603C2×Q16—22no—
604C2×Q16—22no—
605C2×Q16—22no—
606C2×Q16—41no—
607C2×Q16C2×D414yes—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—22no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16—41no—
621C2×SD16—41no—
622C2×SD16—41no—
623C2×SD16—41no—
624C2×SD16C2×D414yes—
625C2×SD16#4114yes—
626C2×D8—22no—
627C2×D8—22no—
628C2×D8—22no—
629C2×D8—22no—
630C2×D8—22no—
631C2×D8—41no—
632C2×D8—41no—
633C2×D8—41no—
634C2×D8—41no—
635C2×D8—41no—
636C2×D8—41no—
637C2×D8—41no—
638C2×M16—22no—
639C2×M16—22no—
640C2×M16—22no—
641C2×M16—22no—
642C2×M16—22no—
643C2×M16—22no—
644C2×M16—41no—
645C2×M16—41no—
646C2×M16—41no—
647C2×M16—41no—
648C2×M16—41no—
649C2×M16—41no—
650C22×C8C2411yescharacteristic
651C22×C8C2411yescharacteristic
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C4⋊Q8—22no—
659C4⋊Q8—41no—
660#127—22no—
661#127—41no—
662#127—44no—
663#125—44no—
664#124—22no—
665#124—22no—
666#124—41no—
667#124—41no—
668#124—41no—
669#124—41no—
670#124—44no—
671#124—44no—
672#124—82no—
673#123—44no—
674C22⋊Q8—22no—
675C22⋊Q8—22no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—44no—
680C22⋊Q8—44no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—44no—
684C22⋊Q8—44no—
685C22⋊Q8—82no—
686C22⋊Q8C2×D414yes—
687#121—22no—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—42no—
695#121—44no—
696#121—44no—
697#121—44no—
698#121—44no—
699#121—41no—
700#121—41no—
701#121—41no—
702#121—41no—
703#121—41no—
704#121—44no—
705#121—44no—
706#121—41no—
707#121—41no—
708#121—82no—
709#120—44no—
710#120—44no—
711C4×Q8—22no—
712C4×Q8—22no—
713C4×Q8—22no—
714C4×Q8—22no—
715C4×Q8—22no—
716C4×Q8—22no—
717C4×Q8—41no—
718C4×Q8—41no—
719C4×Q8—41no—
720C4×Q8—41no—
721C4×Q8—41no—
722C4×Q8—41no—
723C4×D4—22no—
724C4×D4—22no—
725C4×D4—22no—
726C4×D4—22no—
727C4×D4—22no—
728C4×D4—22no—
729C4×D4—41no—
730C4×D4—41no—
731C4×D4—41no—
732C4×D4—41no—
733C4×D4—41no—
734C4×D4—41no—
735C4×D4—44no—
736C4×D4—44no—
737C4×D4—44no—
738C4×D4—44no—
739C4×D4—44no—
740C4×D4—44no—
741C4×D4—82no—
742#117—22no—
743#117—41no—
744#117—44no—
745C2×C4⋊C4—21no—
746C2×C4⋊C4—21no—
747C2×C4⋊C4—22no—
748C2×C4⋊C4—22no—
749C2×C4⋊C4—22no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—21no—
753C2×C4⋊C4—21no—
754C2×C4⋊C4—21no—
755C2×C4⋊C4—21no—
756C2×C4⋊C4—21no—
757C2×C4⋊C4—21no—
758C2×C4⋊C4—21no—
759C2×C4⋊C4—21no—
760C2×C4⋊C4—21no—
761C2×C4⋊C4—21no—
762C2×C4⋊C4—21no—
763C2×C4⋊C4—21no—
764C2×C4⋊C4—21no—
765C2×C4⋊C4—21no—
766C2×C4⋊C4—41no—
767C2×C4⋊C4C2×D411yescharacteristic
768C2×C4⋊C4C2×D411yescharacteristic
769C2×C4⋊C4C2×D411yescharacteristic
770C2×C4⋊C4C2×D411yescharacteristic
771C2×C4⋊C4C2×D411yescharacteristic
772C2×C4⋊C4C2411yescharacteristic
773C2×C4⋊C4C2411yescharacteristic
774C2×C4⋊C4C2411yescharacteristic
775C2×C4⋊C4C2411yescharacteristic
776C2×C4⋊C4C2411yescharacteristic
777C2×C4⋊C4C2411yescharacteristic
778C2×C4⋊C4C2411yescharacteristic
779C2×C4⋊C4C2411yescharacteristic
780C2×C4⋊C4C2411yescharacteristic
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—21no—
795C2×C22⋊C4—21no—
796C2×C22⋊C4—21no—
797C2×C22⋊C4—21no—
798C2×C22⋊C4—21no—
799C2×C22⋊C4—21no—
800C2×C22⋊C4—21no—
801C2×C22⋊C4—21no—
802C2×C22⋊C4—21no—
803C2×C22⋊C4—21no—
804C2×C22⋊C4—21no—
805C2×C22⋊C4—21no—
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—44no—
824C2×C22⋊C4—82no—
825C2×C22⋊C4—82no—
826C2×C22⋊C4C2×D411yescharacteristic
827C2×C22⋊C4C2×D411yescharacteristic
828C2×C22⋊C4C2×D411yescharacteristic
829C2×C22⋊C4C2×D411yescharacteristic
830C2×C22⋊C4C2×D411yescharacteristic
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C42—21no—
837C2×C42—21no—
838C2×C42—21no—
839C2×C42—21no—
840C2×C42—21no—
841C2×C42—21no—
842C2×C42—21no—
843C2×C42—21no—
844C2×C42—41no—
845C2×C42—41no—
846C2×C42—44no—
847C2×C42C2×D411yescharacteristic
848C2×C42C2×D411yescharacteristic
849C2×C42C2411yescharacteristic
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853#107—22no—
854#107—22no—
855#107—22no—
856#107—22no—
857#106—22no—
858#106—41no—
859#106—41no—
860#106—41no—
861C4⋊C8—22no—
862C4⋊C8—22no—
863#103—22no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—22no—
870#103—22no—
871#103—41no—
872#103—41no—
873#103—41no—
874#103—41no—
875#103—41no—
876#103C2×D414yes—
877#102—22no—
878#102—22no—
879#102—22no—
880#102—22no—
881#102—22no—
882#102—22no—
883#102—22no—
884#102—22no—
885#102—22no—
886#102—22no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102C2×D414yes—
895C22⋊C8—22no—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—41no—
900C22⋊C8—41no—
901C22⋊C8—41no—
902C22⋊C8C2×D414yes—
903#97—41no—
904#97—41no—
905C4×C8—22no—
906C4×C8—22no—
907#95—21no—
908#95—21no—
909#95—21no—
910#95—21no—
911#95—21no—
912#95—21no—
913#95—21no—
914#95—21no—
915#95—21no—
916#95—21no—
917#95—21no—
918#95—21no—
919#95—21no—
920#95—21no—
921#95—21no—
922#95—21no—
923#95—21no—
924#95—21no—
925#95—21no—
926#95C2×D411yescharacteristic
927#95C2×D411yescharacteristic
928#95C2×D411yescharacteristic
929#95C2×D411yescharacteristic
930#95C2×D411yescharacteristic
931#95C2×D411yescharacteristic
932C24—21no—
933C24—21no—
934C24—21no—
935C24—21no—
936C24—42no—
937C24—42no—
938C24—42no—
939C24—42no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24C22×D411yescharacteristic
944C24C22×D411yescharacteristic
945C24C22×D411yescharacteristic
946#41—28no—
947#41—44no—
948#41—44no—
949#41—44no—
950#41—44no—
951#41—44no—
952#41—82no—
953#41—82no—
954#41—82no—
955#41—82no—
956#41—82no—
957#41—82no—
958C2×Q8—21no—
959C2×Q8—21no—
960C2×Q8—21no—
961C2×Q8—21no—
962C2×Q8—21no—
963C2×Q8—21no—
964C2×Q8—21no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—42no—
973C2×Q8—42no—
974C2×Q8—42no—
975C2×Q8—42no—
976C2×Q8—44no—
977C2×Q8—81no—
978C2×Q8—81no—
979C2×Q8—82no—
980C2×Q8—82no—
981C2×Q8—82no—
982C2×Q8C22×D412yes—
983C2×Q8C22×D412yes—
984C2×Q8C2×#4112yes—
985C2×Q8H(5,𝔽2)12yes—
986C2×D4—22no—
987C2×D4—24no—
988C2×D4—22no—
989C2×D4—22no—
990C2×D4—21no—
991C2×D4—21no—
992C2×D4—21no—
993C2×D4—21no—
994C2×D4—21no—
995C2×D4—21no—
996C2×D4—21no—
997C2×D4—21no—
998C2×D4—21no—
999C2×D4—21no—
1000C2×D4—21no—
1001C2×D4—21no—
1002C2×D4—21no—
1003C2×D4—21no—
1004C2×D4—21no—
1005C2×D4—21no—
1006C2×D4—21no—
1007C2×D4—21no—
1008C2×D4—21no—
1009C2×D4—21no—
1010C2×D4—21no—
1011C2×D4—21no—
1012C2×D4—44no—
1013C2×D4—44no—
1014C2×D4—41no—
1015C2×D4—42no—
1016C2×D4—42no—
1017C2×D4—41no—
1018C2×D4—41no—
1019C2×D4—41no—
1020C2×D4—41no—
1021C2×D4—41no—
1022C2×D4—42no—
1023C2×D4—42no—
1024C2×D4—42no—
1025C2×D4—42no—
1026C2×D4—42no—
1027C2×D4—42no—
1028C2×D4—42no—
1029C2×D4—42no—
1030C2×D4—42no—
1031C2×D4—42no—
1032C2×D4—42no—
1033C2×D4—42no—
1034C2×D4—42no—
1035C2×D4—42no—
1036C2×D4—42no—
1037C2×D4—42no—
1038C2×D4—42no—
1039C2×D4—42no—
1040C2×D4—42no—
1041C2×D4—42no—
1042C2×D4—82no—
1043C2×D4—82no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4—81no—
1057C2×D4—81no—
1058C2×D4—81no—
1059C2×D4—81no—
1060C2×D4C22×D412yes—
1061C2×D4C2×#4112yes—
1062C22×C4—21no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—24no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—21no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—21no—
1089C22×C4—21no—
1090C22×C4—21no—
1091C22×C4—42no—
1092C22×C4—42no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4—41no—
1098C22×C4—41no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—42no—
1102C22×C4—42no—
1103C22×C4—42no—
1104C22×C4—42no—
1105C22×C4—42no—
1106C22×C4—42no—
1107C22×C4—42no—
1108C22×C4—42no—
1109C22×C4—42no—
1110C22×C4—42no—
1111C22×C4—42no—
1112C22×C4—42no—
1113C22×C4—81no—
1114C22×C4—81no—
1115C22×C4—81no—
1116C22×C4—81no—
1117C22×C4—81no—
1118C22×C4—81no—
1119C22×C4—81no—
1120C22×C4—81no—
1121C22×C4—81no—
1122C22×C4—81no—
1123C22×C4C22×D411yescharacteristic
1124C22×C4C22×D411yescharacteristic
1125C22×C4C22×D411yescharacteristic
1126C22×C4C22×D411yescharacteristic
1127C22×C4C22×D411yescharacteristic
1128C22×C4C22×D411yescharacteristic
1129C22×C4C22×D411yescharacteristic
1130C22×C4C22×D411yescharacteristic
1131C22×C4C22×D411yescharacteristic
1132C22×C4C22×D411yescharacteristic
1133C22×C4C22×D412yes—
1134C22×C4C22×D411yescharacteristic
1135C22×C4H(5,𝔽2)12yes—
1136C22×C4C2511yescharacteristic
1137Q16—28no—
1138Q16—44no—
1139SD16—28no—
1140SD16—44no—
1141SD16—44no—
1142SD16—44no—
1143SD16—82no—
1144SD16—82no—
1145D8—44no—
1146D8—44no—
1147D8—82no—
1148D8—82no—
1149M16—44no—
1150M16—44no—
1151M16—82no—
1152M16—82no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—21no—
1159C2×C8—21no—
1160C2×C8—21no—
1161C2×C8—21no—
1162C2×C8—21no—
1163C2×C8—21no—
1164C2×C8—21no—
1165C2×C8—21no—
1166C2×C8—21no—
1167C2×C8—21no—
1168C2×C8—21no—
1169C2×C8—21no—
1170C2×C8—21no—
1171C2×C8—21no—
1172C2×C8—21no—
1173C2×C8—21no—
1174C2×C8C22×D412yes—
1175C2×C8C22×D412yes—
1176C2×C8C2×#4112yes—
1177C4⋊C4—24no—
1178C4⋊C4—24no—
1179C4⋊C4—22no—
1180C4⋊C4—22no—
1181C4⋊C4—22no—
1182C4⋊C4—21no—
1183C4⋊C4—21no—
1184C4⋊C4—21no—
1185C4⋊C4—21no—
1186C4⋊C4—21no—
1187C4⋊C4—21no—
1188C4⋊C4—21no—
1189C4⋊C4—21no—
1190C4⋊C4—21no—
1191C4⋊C4—21no—
1192C4⋊C4—21no—
1193C4⋊C4—21no—
1194C4⋊C4—21no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—42no—
1201C4⋊C4—42no—
1202C4⋊C4—42no—
1203C4⋊C4—42no—
1204C4⋊C4—42no—
1205C4⋊C4—42no—
1206C4⋊C4—42no—
1207C4⋊C4—42no—
1208C4⋊C4—42no—
1209C4⋊C4—42no—
1210C4⋊C4—42no—
1211C4⋊C4—42no—
1212C4⋊C4—81no—
1213C4⋊C4—81no—
1214C4⋊C4—81no—
1215C4⋊C4—81no—
1216C4⋊C4C22×D412yes—
1217C4⋊C4H(5,𝔽2)12yes—
1218C22⋊C4—24no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—42no—
1230C22⋊C4—42no—
1231C22⋊C4—42no—
1232C22⋊C4—42no—
1233C22⋊C4—42no—
1234C22⋊C4—42no—
1235C22⋊C4—42no—
1236C22⋊C4—42no—
1237C22⋊C4—42no—
1238C22⋊C4—42no—
1239C22⋊C4—42no—
1240C22⋊C4—42no—
1241C22⋊C4—42no—
1242C22⋊C4—42no—
1243C22⋊C4—42no—
1244C22⋊C4—42no—
1245C22⋊C4—42no—
1246C22⋊C4—42no—
1247C22⋊C4—42no—
1248C22⋊C4—42no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—81no—
1257C22⋊C4—81no—
1258C22⋊C4—81no—
1259C22⋊C4—81no—
1260C22⋊C4—81no—
1261C22⋊C4—81no—
1262C22⋊C4—81no—
1263C22⋊C4—81no—
1264C22⋊C4—81no—
1265C22⋊C4—81no—
1266C22⋊C4—81no—
1267C22⋊C4—81no—
1268C22⋊C4—81no—
1269C22⋊C4—81no—
1270C42—24no—
1271C42—21no—
1272C42—21no—
1273C42—21no—
1274C42—21no—
1275C42—21no—
1276C42—21no—
1277C42—21no—
1278C42—21no—
1279C42—41no—
1280C42—41no—
1281C42—42no—
1282C42—42no—
1283C42—42no—
1284C42—42no—
1285C42—42no—
1286C42—42no—
1287C42—81no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—22no—
1303C23—22no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—84no—
1337C23—84no—
1338C23—84no—
1339C23—84no—
1340C23—162no—
1341C23—162no—
1342C23—162no—
1343C23D4212yes—
1344C23C23×D411yescharacteristic
1345Q8—22no—
1346Q8—22no—
1347Q8—22no—
1348Q8—22no—
1349Q8—22no—
1350Q8—41no—
1351Q8—41no—
1352Q8—41no—
1353Q8—41no—
1354Q8—41no—
1355Q8—41no—
1356Q8—84no—
1357Q8—162no—
1358Q8#54614yes—
1359D4—22no—
1360D4—22no—
1361D4—22no—
1362D4—22no—
1363D4—44no—
1364D4—48no—
1365D4—41no—
1366D4—41no—
1367D4—41no—
1368D4—41no—
1369D4—41no—
1370D4—41no—
1371D4—41no—
1372D4—41no—
1373D4—41no—
1374D4—41no—
1375D4—41no—
1376D4—41no—
1377D4—84no—
1378D4—84no—
1379D4—84no—
1380D4—82no—
1381D4—82no—
1382D4—84no—
1383D4—84no—
1384D4—84no—
1385D4—84no—
1386D4—162no—
1387D4—162no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—22no—
1394C2×C4—21no—
1395C2×C4—22no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—22no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—48no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—41no—
1468C2×C4—41no—
1469C2×C4—41no—
1470C2×C4—41no—
1471C2×C4—84no—
1472C2×C4—84no—
1473C2×C4—82no—
1474C2×C4—82no—
1475C2×C4—84no—
1476C2×C4—84no—
1477C2×C4—84no—
1478C2×C4—162no—
1479C2×C4—162no—
1480C2×C4—162no—
1481C2×C4D4212yes—
1482C2×C4#57512yes—
1483C2×C4C23×D411yescharacteristic
1484C2×C4C22×#4111yescharacteristic
1485C2×C4C2×H(5,𝔽2)11yescharacteristic
1486C2×C4C2×H(5,𝔽2)11yescharacteristic
1487C2×C4C2×H(5,𝔽2)11yescharacteristic
1488C2×C4#58511yescharacteristic
1489C8—22no—
1490C8—22no—
1491C8—22no—
1492C8—41no—
1493C8—41no—
1494C8—41no—
1495C8—41no—
1496C8—41no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—42no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—42no—
1510C22—41no—
1511C22—41no—
1512C22—42no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—42no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—42no—
1522C22—41no—
1523C22—42no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—168no—
1547C22C2×D4211yescharacteristic
1548C22D4×#4111yescharacteristic
1549C22#348411yescharacteristic
1550C22C2×#57511yescharacteristic
1551C22#358511yescharacteristic
1552C22#358511yescharacteristic
1553C22#358611yescharacteristic
1554C4—22no—
1555C4—22no—
1556C4—24no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—42no—
1561C4—41no—
1562C4—41no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—42no—
1569C4—81no—
1570C4—81no—
1571C4—81no—
1572C4—81no—
1573C4—81no—
1574C4—81no—
1575C4—81no—
1576C4—81no—
1577C4C2×#54611yescharacteristic
1578C4#349611yescharacteristic
1579C4#351911yescharacteristic
1580C4#353411yescharacteristic
1581C2—42no—
1582C2—81no—
1583C2—81no—
1584C2—82no—
1585C2—82no—
1586C2—161no—
1587C2—161no—
1588C2#5912311yescharacteristic
1589C2#6106811yescharacteristic
1590C2#6108211yescharacteristic
1591C2#6146811yescharacteristic
1592C2#6150811yescharacteristic
1593C2#6159011yescharacteristic
1594C2#6165011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3333C2semidirect
2. C2×#3275C2semidirect
3. #59650C2semidirect
4. #36430C2semidirect
5. #30875C2semidirect
6. #30740C2semidirect
7. #30581C2semidirect
8. #30413C2semidirect
9. #28921C2semidirect
10. #28582C2semidirect
11. #28312C2semidirect
12. #27239C2semidirect
13. #26942C2semidirect
14. #26377C2semidirect
15. #26173C2semidirect
16. #25561C2semidirect
17. #25429C2semidirect
18. #25258C2semidirect
19. #25179C2semidirect
20. #25175C2semidirect
21. #25136C2semidirect
22. #24450C2semidirect
23. #24441C2semidirect
24. #24052C2semidirect
25. #23871C2semidirect
26. #23869C2semidirect
27. #23121C2semidirect
28. #22883C2semidirect
29. #22445C2semidirect
30. #21457C2semidirect
31. #20928C2semidirect
37. C2×#548C22semidirect
43. C2×#486C22semidirect
46. C2×#480C22semidirect
47. C2×#477C22semidirect
52. C2×#468C22semidirect
54. C2×#460C22semidirect
57. C2×#452C22semidirect
65. C2×#441C22semidirect
66. C2×#440C22semidirect
67. C2×C4×Q16C22semidirect
72. C2×#417C22semidirect
80. #2544C22semidirect
83. #2535C22semidirect
91. #2428C22semidirect
93. #2427C22semidirect
105. #2351C22semidirect
107. #2341C22semidirect
108. Q8×C22⋊C4C22semidirect
115. #2087C22semidirect
116. #2085C22semidirect
117. #2075C22semidirect
118. #2074C22semidirect
120. #2065C22semidirect
121. #2058C22semidirect
124. #2042C22semidirect
125. #2042C22semidirect
126. #2042C22semidirect
127. #2035C22semidirect
129. #2034C22semidirect
130. #2034C22semidirect
132. #2033C22semidirect
133. #2024C22semidirect
134. #2015C22semidirect
140. #2001C22semidirect
150. #1942C22semidirect
152. #1934C22semidirect
153. #1928C22semidirect
154. #1926C22semidirect
155. #1924C22semidirect
156. #1924C22semidirect
157. #1916C22semidirect
158. #1916C22semidirect
161. #1895C22semidirect
169. #1880C22semidirect
175. #1878C22semidirect
176. #1878C22semidirect
177. #1878C22semidirect
178. #1877C22semidirect
180. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1865C22semidirect
186. #1865C22semidirect
187. #1865C22semidirect
188. #1864C22semidirect
189. #1863C22semidirect
192. #1853C22semidirect
193. #1809C22semidirect
196. #1787C22semidirect
197. #1787C22semidirect
198. #1763C22semidirect
199. #1762C22semidirect
200. #1753C22semidirect
201. #1753C22semidirect
324. #452D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33332
C2×#32752
#596502
#364302
#308752
#307402
#305812
#304132
#289212
#285822
#283122
#272392
#269422
#263772
#261732
#255612
#254292
#252582
#251792
#251752
#251362
#244502
#244412
#240522
#238712
#238692
#231212
#228832
#224452
#214572
#209282