Finite Group Databasebeta

← #7562126

Subgroups — #7562126

Order 512.

2320 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3317C211yesmaximal, characteristic, complemented
2C2×#3062C211yesmaximal, characteristic, complemented
3#44913C211yesmaximal, characteristic, complemented
4#44886C211yesmaximal, characteristic, complemented
5#30936C211yesmaximal, characteristic, complemented
6#30719C211yesmaximal, characteristic, complemented
7#30612C211yesmaximal, characteristic, complemented
8#30422C211yesmaximal, characteristic, complemented
9#28930C211yesmaximal, characteristic, complemented
10#28561C211yesmaximal, characteristic, complemented
11#28349C211yesmaximal, characteristic, complemented
12#27264C211yesmaximal, characteristic, complemented
13#26980C211yesmaximal, characteristic, complemented
14#26367C211yesmaximal, characteristic, complemented
15#26146C211yesmaximal, characteristic, complemented
16#25560C211yesmaximal, characteristic, complemented
17#25402C211yesmaximal, characteristic, complemented
18#25218C211yesmaximal, characteristic, complemented
19#25131C211yesmaximal, characteristic, complemented
20#25117C211yesmaximal, characteristic, complemented
21#25096C211yesmaximal, characteristic, complemented
22#24451C211yesmaximal, characteristic, complemented
23#24370C211yesmaximal, characteristic, complemented
24#24015C211yesmaximal, characteristic, complemented
25#23929C211yesmaximal, characteristic, complemented
26#23863C211yesmaximal, characteristic, complemented
27#23134C211yesmaximal, characteristic, complemented
28#22861C211yesmaximal, characteristic, complemented
29#22419C211yesmaximal, characteristic, complemented
30#21444C211yesmaximal, characteristic, complemented
31#20976C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C22×#131C2211yescharacteristic
34C2×#552C2211yescharacteristic, complemented
35C2×#550C2211yescharacteristic
36C2×#546C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#535C2211yescharacteristic
40#3317—28no—
41C2×#490C2211yescharacteristic
42C2×#481C2211yescharacteristic, complemented
43C2×#482C2211yescharacteristic
44C2×#482C2211yescharacteristic
45C2×#479C2211yescharacteristic, complemented
46#3062—28no—
47C2×#469C2211yescharacteristic
48C2×#469C2211yescharacteristic
49C2×#468C2211yescharacteristic
50C2×#468C2211yescharacteristic
51C2×#468C2211yescharacteristic, complemented
52C2×#466C2211yescharacteristic
53C2×#466C2211yescharacteristic
54C2×#465C2211yescharacteristic
55C2×#465C2211yescharacteristic
56C2×#460C2211yescharacteristic
57C2×#460C2211yescharacteristic
58C2×#452C2211yescharacteristic
59C2×#452C2211yescharacteristic
60C2×#452C2211yescharacteristic, complemented
61C2×#449C2211yescharacteristic
62C2×#449C2211yescharacteristic
63C2×#449C2211yescharacteristic, complemented
64C2×#441C2211yescharacteristic, complemented
65C2×#435C2211yescharacteristic
66C2×#435C2211yescharacteristic, complemented
67C2×#435C2211yescharacteristic, complemented
68C2×#428C2211yescharacteristic
69C2×#417C2211yescharacteristic
70C2×#417C2211yescharacteristic, complemented
71C2×#416C2211yescharacteristic
72C2×#416C2211yescharacteristic, complemented
73C22×#102C2211yescharacteristic
74#2711—21no—
75#2704—21no—
76#2691—21no—
77#2676—21no—
78#2673—21no—
79#2671—21no—
80#2669—21no—
81#2669—21no—
82#2559—21no—
83#2541—21no—
84#2541C2211yescharacteristic
85#2536C2211yescharacteristic, complemented
86#2500C2211yescharacteristic, complemented
87#2490C2211yescharacteristic, complemented
88#2477—21no—
89#2464—21no—
90#2461—21no—
91#2442C2211yescharacteristic
92#2433C2211yescharacteristic
93#2431C2211yescharacteristic
94#2428C2211yescharacteristic
95#2426C2211yescharacteristic
96#2424—21no—
97#2424—21no—
98#2423C2211yescharacteristic, complemented
99#2416C2211yescharacteristic
100#2416C2211yescharacteristic, complemented
101#2416C2211yescharacteristic, complemented
102#2414—21no—
103#2414C2211yescharacteristic
104#2407C2211yescharacteristic
105#2407C2211yescharacteristic
106#2388C2211yescharacteristic
107#2362C2211yescharacteristic
108#2361C2211yescharacteristic
109#2360C2211yescharacteristic, complemented
110D4×C4⋊C4C2211yescharacteristic
111#2341C2211yescharacteristic
112#2311C2211yescharacteristic
113#2097C2211yescharacteristic, complemented
114#2093C2211yescharacteristic, complemented
115#2087C2211yescharacteristic, complemented
116#2084C2211yescharacteristic, complemented
117#2076C2211yescharacteristic, complemented
118#2073C2211yescharacteristic
119#2068C2211yescharacteristic, complemented
120#2067C2211yescharacteristic, complemented
121#2059C2211yescharacteristic, complemented
122#2055C2211yescharacteristic, complemented
123#2054C2211yescharacteristic
124#2054C2211yescharacteristic
125#2041C2211yescharacteristic
126#2041C2211yescharacteristic
127#2035C2211yescharacteristic, complemented
128#2034C2211yescharacteristic
129#2034C2211yescharacteristic
130#2034C2211yescharacteristic, complemented
131#2033C2211yescharacteristic
132#2033C2211yescharacteristic
133#2025C2211yescharacteristic
134#2015C2211yescharacteristic
135#2012C2211yescharacteristic
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic
138#2001C2211yescharacteristic, complemented
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic, complemented
144#1999C2211yescharacteristic, complemented
145#1983C2211yescharacteristic
146#1973C2211yescharacteristic, complemented
147#1972C2211yescharacteristic, complemented
148#1961C2211yescharacteristic
149#1959C2211yescharacteristic
150#1949C2211yescharacteristic, complemented
151#1936C2211yescharacteristic
152#1936C2211yescharacteristic
153#1936C2211yescharacteristic, complemented
154#1935C2211yescharacteristic, complemented
155#1926C2211yescharacteristic, complemented
156#1925C2211yescharacteristic, complemented
157#1920C2211yescharacteristic, complemented
158#1919C2211yescharacteristic, complemented
159#1895C2211yescharacteristic
160#1895C2211yescharacteristic
161#1895C2211yescharacteristic, complemented
162#1895C2211yescharacteristic, complemented
163#1894C2211yescharacteristic
164#1894C2211yescharacteristic, complemented
165#1893C2211yescharacteristic
166#1893C2211yescharacteristic, complemented
167#1892C2211yescharacteristic
168#1892C2211yescharacteristic, complemented
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic
171#1880C2211yescharacteristic, complemented
172#1879C2211yescharacteristic
173#1878C2211yescharacteristic, complemented
174#1877C2211yescharacteristic
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic, complemented
180#1872C2211yescharacteristic
181#1872C2211yescharacteristic, complemented
182#1870C2211yescharacteristic
183#1870C2211yescharacteristic, complemented
184#1870C2211yescharacteristic, complemented
185#1865C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1854C2211yescharacteristic
188#1854C2211yescharacteristic
189#1852C2211yescharacteristic, complemented
190#1851C2211yescharacteristic
191#1851C2211yescharacteristic, complemented
192#1851C2211yescharacteristic, complemented
193#1802C2211yescharacteristic
194#1788C2211yescharacteristic
195#1786C2211yescharacteristic
196#1786C2211yescharacteristic
197#1780C2211yescharacteristic
198#1763C2211yescharacteristic, complemented
199#1762C2211yescharacteristic
200#1752C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202#1752C2211yescharacteristic, complemented
203#1736C2211yescharacteristic, complemented
204C2×#340C2211yescharacteristic, complemented
205C22×#41C2311yescharacteristic
206C22×#41C2311yescharacteristic
207C22×#41C2311yescharacteristic
208C22×#41C2311yescharacteristic
209C23×D4C2311yescharacteristic
210C2×AGL(1,ℤ/8)—24no—
211C2×AGL(1,ℤ/8)—42no—
212C2×AGL(1,ℤ/8)—42no—
213C22×Q16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C2×#131—24no—
222C2×#131—42no—
223C2×#131—42no—
224C22×M16C2311yescharacteristic
225C22×M16C2311yescharacteristic
226C22×M16C2311yescharacteristic
227C22×M16C2311yescharacteristic
228C23×C8C2311yescharacteristic
229C23×C8C2311yescharacteristic
230C23×C8C2311yescharacteristic
231#552—24no—
232#552—42no—
233#550—24no—
234#550—42no—
235#546—24no—
236#546—42no—
237#537—24no—
238#537—24no—
239#537—42no—
240#537—42no—
241#535—24no—
242#535—42no—
243C2×#127—21no—
244C2×#127—21no—
245C2×#127—21no—
246C2×#127C2311yescharacteristic
247C2×#127C2311yescharacteristic
248C2×#126—21no—
249C2×#125—21no—
250C2×#125C2311yescharacteristic
251C2×#124—21no—
252C2×#124C2311yescharacteristic
253C2×#123—21no—
254C2×#123—21no—
255C2×C22⋊Q8—21no—
256C2×C22⋊Q8—21no—
257C2×C22⋊Q8C2311yescharacteristic
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×#121—21no—
270C2×#121—21no—
271C2×#121—21no—
272C2×#121—21no—
273C2×#121—21no—
274C2×#121—21no—
275C2×#121C2311yescharacteristic
276C2×#121C2311yescharacteristic
277C2×#121C2311yescharacteristic
278C2×#121C2311yescharacteristic
279C2×#121C2311yescharacteristic
280C2×#121C2311yescharacteristic
281C2×#121C2311yescharacteristic
282C2×#121C2311yescharacteristic
283C2×#121C2311yescharacteristic
284C2×#121C2311yescharacteristic
285C2×#121C2311yescharacteristic
286C2×#120—21no—
287C2×#120—21no—
288C2×#120—21no—
289C2×#120—21no—
290C2×#120—21no—
291C2×C4×Q8C2311yescharacteristic
292C2×C4×Q8C2311yescharacteristic
293C2×C4×Q8C2311yescharacteristic
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4C2311yescharacteristic
298C2×C4×D4C2311yescharacteristic
299C2×C4×D4C2311yescharacteristic
300C2×C4×D4C2311yescharacteristic
301C2×#117—21no—
302C2×#117C2311yescharacteristic
303C2×#117C2311yescharacteristic
304C22×C4⋊C4C2311yescharacteristic
305C22×C4⋊C4C2311yescharacteristic
306C22×C4⋊C4C2311yescharacteristic
307C22×C4⋊C4C2311yescharacteristic
308C22×C22⋊C4—21no—
309#490—24no—
310#482—24no—
311#482—42no—
312#481—24no—
313#479—24no—
314#469—24no—
315#469—24no—
316#468—24no—
317#468—24no—
318#468—24no—
319#466—24no—
320#466—24no—
321#465—24no—
322#465D418yescomplemented
323#460—24no—
324#460—42no—
325#452—24no—
326#452—24no—
327#452—24no—
328#449—42no—
329#449—42no—
330#449—42no—
331#441—24no—
332#435—24no—
333#435—42no—
334#435—42no—
335#428—24no—
336C2×#107C2311yescharacteristic
337C2×#107C2311yescharacteristic
338C2×#107C2311yescharacteristic
339C2×#107C2311yescharacteristic
340C2×#106C2311yescharacteristic
341C2×#106C2311yescharacteristic
342C2×#106C2311yescharacteristic
343C2×#106C2311yescharacteristic
344C2×C4⋊C8C2311yescharacteristic
345C2×C4⋊C8C2311yescharacteristic
346C2×C4⋊C8C2311yescharacteristic
347#417—24no—
348#417—42no—
349#416—24no—
350#416—24no—
351C2×#103C2311yescharacteristic
352C2×#103C2311yescharacteristic
353C2×#103C2311yescharacteristic
354C2×#103C2311yescharacteristic
355C2×#103C2311yescharacteristic
356C2×#103C2311yescharacteristic
357C2×#103C2311yescharacteristic
358C2×#103C2311yescharacteristic
359C2×#103C2311yescharacteristic
360C2×#103C2311yescharacteristic
361C2×#102—24no—
362C2×#102C2311yescharacteristic
363C2×#102C2311yescharacteristic
364C2×#102C2311yescharacteristic
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×#102C2311yescharacteristic
384C2×C22⋊C8C2311yescharacteristic
385C2×C22⋊C8C2311yescharacteristic
386C2×C22⋊C8C2311yescharacteristic
387C2×C22⋊C8C2311yescharacteristic
388C2×C22⋊C8C2311yescharacteristic
389C2×C22⋊C8C2311yescharacteristic
390C2×C22⋊C8C2311yescharacteristic
391C2×C22⋊C8C2311yescharacteristic
392C2×C22⋊C8C2311yescharacteristic
393C2×#97C2311yescharacteristic
394C2×#97C2311yescharacteristic
395C2×#97C2311yescharacteristic
396#400—21no—
397#399—21no—
398#398—21no—
399#398—21no—
400#398—21no—
401#397—21no—
402#396—21no—
403#396—21no—
404#396—21no—
405#396—21no—
406#395D411yescharacteristic
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#394—21no—
417#394—21no—
418#394—21no—
419#394D411yescharacteristic
420#394D411yescharacteristic
421#394D411yescharacteristic
422#393D411yescharacteristic
423#392—21no—
424#392—21no—
425#392—21no—
426#392—21no—
427#392—21no—
428#392—21no—
429#392—21no—
430#392—21no—
431#392—21no—
432#392—21no—
433#392D411yescharacteristic
434#392D411yescharacteristic
435#392D411yescharacteristic
436#391—21no—
437#391C2311yescharacteristic
438#391C2311yescharacteristic
439#390—21no—
440#390—21no—
441#390—21no—
442#390—21no—
443#390—21no—
444#390—21no—
445#390—21no—
446#390C2311yescharacteristic
447#390C2311yescharacteristic
448#390C2311yescharacteristic
449#390C2311yescharacteristic
450#390C2311yescharacteristic
451#390C2311yescharacteristic
452#389—21no—
453#389—21no—
454#389C2311yescharacteristic
455#389C2311yescharacteristic
456#389C2311yescharacteristic
457#389C2311yescharacteristic
458#388—21no—
459#388—21no—
460#388—21no—
461#388—21no—
462#388—21no—
463#388—21no—
464#388—21no—
465#388—21no—
466#388—21no—
467#388—21no—
468#388—21no—
469#387—21no—
470#387—21no—
471#387—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#385—21no—
484#385—21no—
485#385—21no—
486#385—21no—
487#385—21no—
488#385—21no—
489#385—21no—
490#384C2311yescharacteristic
491#382C2311yescharacteristic
492#380—21no—
493#380—21no—
494#380C2311yescharacteristic
495#380C2311yescharacteristic
496#380C2311yescharacteristic
497#380C2311yescharacteristic
498#380C2311yescharacteristic
499#380C2311yescharacteristic
500C4×C4⋊C4—21no—
501C4×C4⋊C4C2311yescharacteristic
502C4×C4⋊C4C2311yescharacteristic
503C4×C22⋊C4—21no—
504C4×C22⋊C4—21no—
505C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
521#340C2311yescharacteristic
522#340C2311yescharacteristic
523#340C2311yescharacteristic
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—22no—
540C2×#41—22no—
541C2×#41—22no—
542C2×#41—22no—
543C2×#41—41no—
544C2×#41—41no—
545C2×#41—41no—
546C2×#41—41no—
547C2×#41—41no—
548C2×#41—41no—
549C2×#41—41no—
550C2×#41—41no—
551C2×#41—41no—
552C2×#41—41no—
553C2×#41—41no—
554C2×#41—41no—
555C22×Q8C2×D411yescharacteristic
556C22×Q8C2411yescharacteristic
557C22×Q8C2411yescharacteristic
558C22×D4—21no—
559C22×D4—22no—
560C22×D4—21no—
561C22×D4—21no—
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—21no—
572C22×D4—21no—
573C22×D4—21no—
574C22×D4—21no—
575C22×D4—21no—
576C22×D4—21no—
577C22×D4—21no—
578C22×D4—22no—
579C22×D4—22no—
580C22×D4—41no—
581C22×D4—41no—
582C22×D4—41no—
583C22×D4C2×D411yescharacteristic
584C22×D4C2×D411yescharacteristic
585C22×D4C2×D411yescharacteristic
586C22×D4C2×D411yescharacteristic
587C22×D4C2×D411yescharacteristic
588C22×D4C2×D411yescharacteristic
589C22×D4C2411yescharacteristic
590C22×D4C2411yescharacteristic
591C22×D4C2411yescharacteristic
592C22×D4C2411yescharacteristic
593C23×C4—21no—
594C23×C4—21no—
595C23×C4—21no—
596C23×C4—21no—
597C23×C4—21no—
598C23×C4—21no—
599C23×C4—21no—
600C23×C4—21no—
601C23×C4C2411yescharacteristic
602C23×C4C2411yescharacteristic
603C23×C4C2411yescharacteristic
604C23×C4C2411yescharacteristic
605AGL(1,ℤ/8)—416no—
606C2×Q16—22no—
607C2×Q16—22no—
608C2×Q16—41no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—41no—
614C2×SD16—41no—
615C2×SD16—41no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C2×SD16C2×D414yes—
621C2×D8—22no—
622C2×D8—22no—
623C2×D8—22no—
624C2×D8—41no—
625C2×D8—41no—
626C2×D8—41no—
627C2×D8—41no—
628C2×D8—41no—
629C2×D8—41no—
630#131—416no—
631C2×M16—22no—
632C2×M16—22no—
633C2×M16—22no—
634C2×M16—22no—
635C2×M16—22no—
636C2×M16—22no—
637C2×M16—22no—
638C2×M16—41no—
639C2×M16—41no—
640C2×M16—41no—
641C2×M16—41no—
642C2×M16—41no—
643C22×C8—22no—
644C22×C8—22no—
645C22×C8—22no—
646C22×C8—22no—
647C22×C8—41no—
648C22×C8—41no—
649C22×C8—41no—
650C22×C8—41no—
651C22×C8C2×D414yes—
652C22×C8C2411yescharacteristic
653C22×C8C2411yescharacteristic
654C22×C8C2411yescharacteristic
655C22×C8C2411yescharacteristic
656C22×C8C2411yescharacteristic
657C22×C8C2411yescharacteristic
658C22×C8C2411yescharacteristic
659C22×C8C2411yescharacteristic
660#127—22no—
661#127—41no—
662#127—41no—
663#127—41no—
664#127—44no—
665#127—44no—
666#127—82no—
667#126—44no—
668#125—22no—
669#125—41no—
670#125—44no—
671#124—22no—
672#124—41no—
673#124—44no—
674#123—44no—
675#123—44no—
676C22⋊Q8—22no—
677C22⋊Q8—22no—
678C22⋊Q8—22no—
679C22⋊Q8—22no—
680C22⋊Q8—22no—
681C22⋊Q8—41no—
682C22⋊Q8—41no—
683C22⋊Q8—41no—
684C22⋊Q8—44no—
685C22⋊Q8—44no—
686C22⋊Q8C2×D414yes—
687C22⋊Q8#4114yes—
688#121—22no—
689#121—22no—
690#121—22no—
691#121—22no—
692#121—22no—
693#121—22no—
694#121—22no—
695#121—22no—
696#121—22no—
697#121—22no—
698#121—22no—
699#121—22no—
700#121—22no—
701#121—44no—
702#121—44no—
703#121—44no—
704#121—44no—
705#121—44no—
706#121—44no—
707#121—44no—
708#121—41no—
709#121—41no—
710#121—41no—
711#121—41no—
712#121—41no—
713#121—41no—
714#121—44no—
715#121—44no—
716#121—41no—
717#121—41no—
718#121—82no—
719#121—82no—
720#121—82no—
721#121—82no—
722#121C2×D414yes—
723#120—44no—
724#120—44no—
725#120—44no—
726#120—82no—
727#120—82no—
728C4×Q8—22no—
729C4×Q8—22no—
730C4×Q8—41no—
731C4×Q8—41no—
732C4×Q8—41no—
733C4×Q8—41no—
734C4×D4—22no—
735C4×D4—22no—
736C4×D4—22no—
737C4×D4—22no—
738C4×D4—22no—
739C4×D4—41no—
740C4×D4—41no—
741C4×D4—41no—
742C4×D4—44no—
743C4×D4—82no—
744C4×D4—82no—
745#117—22no—
746#117—22no—
747#117—22no—
748#117—44no—
749#117—41no—
750C2×C4⋊C4—21no—
751C2×C4⋊C4—21no—
752C2×C4⋊C4—22no—
753C2×C4⋊C4—22no—
754C2×C4⋊C4—22no—
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—21no—
767C2×C4⋊C4—21no—
768C2×C4⋊C4—21no—
769C2×C4⋊C4—21no—
770C2×C4⋊C4—21no—
771C2×C4⋊C4—21no—
772C2×C4⋊C4—21no—
773C2×C4⋊C4—41no—
774C2×C4⋊C4—41no—
775C2×C4⋊C4—41no—
776C2×C4⋊C4—41no—
777C2×C4⋊C4—41no—
778C2×C4⋊C4C2×D411yescharacteristic
779C2×C4⋊C4C2×D411yescharacteristic
780C2×C4⋊C4C2×D411yescharacteristic
781C2×C4⋊C4C2411yescharacteristic
782C2×C4⋊C4C2411yescharacteristic
783C2×C4⋊C4C2411yescharacteristic
784C2×C4⋊C4C2411yescharacteristic
785C2×C4⋊C4C2411yescharacteristic
786C2×C4⋊C4C2411yescharacteristic
787C2×C4⋊C4C2411yescharacteristic
788C2×C4⋊C4C2411yescharacteristic
789C2×C4⋊C4C2411yescharacteristic
790C2×C4⋊C4C2411yescharacteristic
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—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—44no—
831C2×C22⋊C4C2×D411yescharacteristic
832C2×C22⋊C4C2×D411yescharacteristic
833C2×C22⋊C4C2×D411yescharacteristic
834C2×C22⋊C4C2×D411yescharacteristic
835C2×C22⋊C4C2×D411yescharacteristic
836C2×C22⋊C4C2×D411yescharacteristic
837C2×C22⋊C4C2×D411yescharacteristic
838C2×C22⋊C4C2×D411yescharacteristic
839C2×C22⋊C4C2×D411yescharacteristic
840C2×C22⋊C4C2×D411yescharacteristic
841C2×C22⋊C4C2×D411yescharacteristic
842C2×C22⋊C4C2×D411yescharacteristic
843C2×C42—21no—
844C2×C42—21no—
845C2×C42—21no—
846C2×C42—21no—
847C2×C42—21no—
848C2×C42—21no—
849C2×C42—21no—
850C2×C42C2411yescharacteristic
851C2×C42C2411yescharacteristic
852C2×C42C2411yescharacteristic
853#107—22no—
854#107—22no—
855#107—22no—
856#107—41no—
857#106—22no—
858#106—22no—
859#106—41no—
860#106C2×D414yes—
861C4⋊C8—22no—
862C4⋊C8—22no—
863C4⋊C8—41no—
864#103—22no—
865#103—22no—
866#103—22no—
867#103—22no—
868#103—22no—
869#103—22no—
870#103—41no—
871#103—41no—
872#103—41no—
873#103C2×D414yes—
874#102—22no—
875#102—22no—
876#102—22no—
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—41no—
887#102—41no—
888#102—41no—
889#102—41no—
890#102—41no—
891#102—41no—
892#102—41no—
893#102—41no—
894#102—41no—
895#102C2×D414yes—
896C22⋊C8—22no—
897C22⋊C8—22no—
898C22⋊C8—22no—
899C22⋊C8—22no—
900C22⋊C8—22no—
901C22⋊C8—22no—
902C22⋊C8—41no—
903C22⋊C8—41no—
904C22⋊C8—41no—
905#97—22no—
906#97—41no—
907#97—41no—
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—81no—
939C24—81no—
940C24—81no—
941C24—81no—
942C24—81no—
943C24C22×D411yescharacteristic
944C24C22×D411yescharacteristic
945C24C22×D411yescharacteristic
946C24C22×D411yescharacteristic
947#41—44no—
948#41—44no—
949#41—44no—
950#41—44no—
951#41—44no—
952#41—44no—
953#41—44no—
954#41—44no—
955#41—44no—
956#41—82no—
957#41—82no—
958#41—82no—
959#41—82no—
960#41—82no—
961#41—82no—
962#41—82no—
963C2×Q8—22no—
964C2×Q8—22no—
965C2×Q8—21no—
966C2×Q8—21no—
967C2×Q8—21no—
968C2×Q8—21no—
969C2×Q8—21no—
970C2×Q8—21no—
971C2×Q8—21no—
972C2×Q8—21no—
973C2×Q8—21no—
974C2×Q8—21no—
975C2×Q8—41no—
976C2×Q8C22×D412yes—
977C2×Q8C2×#4112yes—
978C2×D4—22no—
979C2×D4—22no—
980C2×D4—22no—
981C2×D4—22no—
982C2×D4—22no—
983C2×D4—22no—
984C2×D4—24no—
985C2×D4—22no—
986C2×D4—22no—
987C2×D4—21no—
988C2×D4—21no—
989C2×D4—21no—
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—44no—
1011C2×D4—44no—
1012C2×D4—41no—
1013C2×D4—41no—
1014C2×D4—41no—
1015C2×D4—41no—
1016C2×D4—41no—
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—42no—
1043C2×D4—42no—
1044C2×D4—82no—
1045C2×D4—82no—
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×D4—81no—
1061C2×D4—81no—
1062C2×D4—81no—
1063C2×D4—81no—
1064C2×D4—81no—
1065C2×D4—81no—
1066C2×D4—81no—
1067C2×D4—81no—
1068C2×D4—81no—
1069C2×D4—81no—
1070C2×D4—81no—
1071C2×D4—81no—
1072C2×D4—81no—
1073C2×D4—81no—
1074C2×D4—81no—
1075C2×D4—81no—
1076C2×D4—81no—
1077C2×D4—81no—
1078C2×D4—81no—
1079C2×D4—81no—
1080C2×D4C22×D412yes—
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—21no—
1092C22×C4—21no—
1093C22×C4—21no—
1094C22×C4—21no—
1095C22×C4—21no—
1096C22×C4—21no—
1097C22×C4—21no—
1098C22×C4—21no—
1099C22×C4—21no—
1100C22×C4—21no—
1101C22×C4—21no—
1102C22×C4—21no—
1103C22×C4—21no—
1104C22×C4—21no—
1105C22×C4—21no—
1106C22×C4—21no—
1107C22×C4—21no—
1108C22×C4—21no—
1109C22×C4—21no—
1110C22×C4—21no—
1111C22×C4—21no—
1112C22×C4—21no—
1113C22×C4—42no—
1114C22×C4—42no—
1115C22×C4—42no—
1116C22×C4—42no—
1117C22×C4—42no—
1118C22×C4—42no—
1119C22×C4—42no—
1120C22×C4—42no—
1121C22×C4—42no—
1122C22×C4—42no—
1123C22×C4—42no—
1124C22×C4—81no—
1125C22×C4—81no—
1126C22×C4—81no—
1127C22×C4—81no—
1128C22×C4—81no—
1129C22×C4—81no—
1130C22×C4—81no—
1131C22×C4—81no—
1132C22×C4—81no—
1133C22×C4—81no—
1134C22×C4—81no—
1135C22×C4—81no—
1136C22×C4—81no—
1137C22×C4C22×D411yescharacteristic
1138C22×C4C22×D411yescharacteristic
1139C22×C4C22×D411yescharacteristic
1140C22×C4C22×D411yescharacteristic
1141C22×C4C22×D411yescharacteristic
1142C22×C4C22×D411yescharacteristic
1143C22×C4C22×D411yescharacteristic
1144C22×C4C22×D411yescharacteristic
1145C22×C4C22×D411yescharacteristic
1146C22×C4C22×D412yes—
1147C22×C4C22×D411yescharacteristic
1148C22×C4C2×#4112yes—
1149C22×C4H(5,𝔽2)12yes—
1150C22×C4H(5,𝔽2)12yes—
1151C22×C4C2511yescharacteristic
1152Q16—44no—
1153SD16—44no—
1154SD16—44no—
1155SD16—82no—
1156SD16—82no—
1157D8—44no—
1158D8—44no—
1159D8—82no—
1160M16—28no—
1161M16—44no—
1162M16—44no—
1163M16—82no—
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×C8—21no—
1175C2×C8—21no—
1176C2×C8—21no—
1177C2×C8—21no—
1178C2×C8—21no—
1179C2×C8—21no—
1180C2×C8—21no—
1181C2×C8—21no—
1182C2×C8—21no—
1183C2×C8—21no—
1184C2×C8—21no—
1185C2×C8—44no—
1186C2×C8—44no—
1187C2×C8—44no—
1188C2×C8C22×D412yes—
1189C2×C8C22×D412yes—
1190C2×C8H(5,𝔽2)12yes—
1191C4⋊C4—24no—
1192C4⋊C4—22no—
1193C4⋊C4—24no—
1194C4⋊C4—22no—
1195C4⋊C4—21no—
1196C4⋊C4—21no—
1197C4⋊C4—21no—
1198C4⋊C4—21no—
1199C4⋊C4—21no—
1200C4⋊C4—21no—
1201C4⋊C4—21no—
1202C4⋊C4—21no—
1203C4⋊C4—21no—
1204C4⋊C4—21no—
1205C4⋊C4—21no—
1206C4⋊C4—21no—
1207C4⋊C4—21no—
1208C4⋊C4—21no—
1209C4⋊C4—21no—
1210C4⋊C4—21no—
1211C4⋊C4—21no—
1212C4⋊C4—41no—
1213C4⋊C4—42no—
1214C4⋊C4—42no—
1215C4⋊C4—42no—
1216C4⋊C4—42no—
1217C4⋊C4—42no—
1218C4⋊C4—42no—
1219C4⋊C4—42no—
1220C4⋊C4—42no—
1221C4⋊C4—42no—
1222C4⋊C4—42no—
1223C4⋊C4—42no—
1224C4⋊C4—81no—
1225C4⋊C4—81no—
1226C4⋊C4—81no—
1227C4⋊C4—81no—
1228C4⋊C4—81no—
1229C4⋊C4—81no—
1230C4⋊C4—81no—
1231C4⋊C4C22×D412yes—
1232C4⋊C4C22×D412yes—
1233C4⋊C4C2×#4112yes—
1234C22⋊C4—24no—
1235C22⋊C4—22no—
1236C22⋊C4—24no—
1237C22⋊C4—22no—
1238C22⋊C4—24no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—42no—
1250C22⋊C4—42no—
1251C22⋊C4—42no—
1252C22⋊C4—42no—
1253C22⋊C4—42no—
1254C22⋊C4—42no—
1255C22⋊C4—42no—
1256C22⋊C4—42no—
1257C22⋊C4—42no—
1258C22⋊C4—42no—
1259C22⋊C4—42no—
1260C22⋊C4—42no—
1261C22⋊C4—42no—
1262C22⋊C4—42no—
1263C22⋊C4—42no—
1264C22⋊C4—42no—
1265C22⋊C4—42no—
1266C22⋊C4—42no—
1267C22⋊C4—42no—
1268C22⋊C4—42no—
1269C22⋊C4—42no—
1270C22⋊C4—81no—
1271C22⋊C4—81no—
1272C22⋊C4—81no—
1273C22⋊C4—81no—
1274C22⋊C4—81no—
1275C22⋊C4—81no—
1276C22⋊C4—81no—
1277C22⋊C4—81no—
1278C22⋊C4—81no—
1279C22⋊C4—81no—
1280C22⋊C4—81no—
1281C22⋊C4—81no—
1282C22⋊C4—81no—
1283C22⋊C4—81no—
1284C22⋊C4—81no—
1285C42—21no—
1286C42—21no—
1287C42—21no—
1288C42—21no—
1289C42—21no—
1290C42—21no—
1291C42—42no—
1292C42—42no—
1293C42—42no—
1294C42—42no—
1295C42—42no—
1296C42—81no—
1297C42—81no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—22no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—41no—
1326C23—41no—
1327C23—41no—
1328C23—41no—
1329C23—41no—
1330C23—41no—
1331C23—41no—
1332C23—41no—
1333C23—41no—
1334C23—41no—
1335C23—41no—
1336C23—41no—
1337C23—41no—
1338C23—41no—
1339C23—41no—
1340C23—41no—
1341C23—41no—
1342C23—41no—
1343C23—41no—
1344C23—41no—
1345C23—41no—
1346C23—41no—
1347C23—41no—
1348C23—41no—
1349C23—41no—
1350C23—41no—
1351C23—41no—
1352C23—84no—
1353C23—84no—
1354C23—162no—
1355C23—162no—
1356C23—162no—
1357C23—162no—
1358C23—162no—
1359C23D4212yes—
1360C23#54612yes—
1361C23C23×D411yescharacteristic
1362Q8—22no—
1363Q8—22no—
1364Q8—22no—
1365Q8—22no—
1366Q8—44no—
1367Q8—41no—
1368Q8—41no—
1369Q8—41no—
1370Q8—41no—
1371D4—22no—
1372D4—22no—
1373D4—44no—
1374D4—44no—
1375D4—44no—
1376D4—44no—
1377D4—41no—
1378D4—41no—
1379D4—41no—
1380D4—41no—
1381D4—41no—
1382D4—41no—
1383D4—41no—
1384D4—41no—
1385D4—41no—
1386D4—41no—
1387D4—41no—
1388D4—41no—
1389D4—41no—
1390D4—41no—
1391D4—84no—
1392D4—82no—
1393D4—84no—
1394D4—84no—
1395D4—84no—
1396D4—82no—
1397D4—84no—
1398D4—84no—
1399D4—162no—
1400D4—162no—
1401D4—162no—
1402D4—162no—
1403D4—162no—
1404D4—162no—
1405D4—162no—
1406D4—162no—
1407D4—162no—
1408D4—162no—
1409D4—162no—
1410D4—162no—
1411D4—162no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
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—41no—
1472C2×C4—41no—
1473C2×C4—41no—
1474C2×C4—41no—
1475C2×C4—41no—
1476C2×C4—41no—
1477C2×C4—41no—
1478C2×C4—41no—
1479C2×C4—41no—
1480C2×C4—41no—
1481C2×C4—41no—
1482C2×C4—41no—
1483C2×C4—41no—
1484C2×C4—41no—
1485C2×C4—41no—
1486C2×C4—41no—
1487C2×C4—41no—
1488C2×C4—41no—
1489C2×C4—41no—
1490C2×C4—41no—
1491C2×C4—41no—
1492C2×C4—84no—
1493C2×C4—84no—
1494C2×C4—84no—
1495C2×C4—84no—
1496C2×C4—162no—
1497C2×C4—162no—
1498C2×C4—162no—
1499C2×C4—162no—
1500C2×C4D4212yes—
1501C2×C4#54612yes—
1502C2×C4C23×D411yescharacteristic
1503C2×C4C22×#4111yescharacteristic
1504C2×C4C2×H(5,𝔽2)11yescharacteristic
1505C2×C4C2×H(5,𝔽2)11yescharacteristic
1506C2×C4C2×H(5,𝔽2)11yescharacteristic
1507C2×C4#58511yescharacteristic
1508C8—22no—
1509C8—22no—
1510C8—22no—
1511C8—41no—
1512C8—41no—
1513C8—41no—
1514C8—41no—
1515C8—41no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—42no—
1538C22—41no—
1539C22—42no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—42no—
1545C22—41no—
1546C22—41no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—81no—
1555C22—81no—
1556C22—81no—
1557C22—81no—
1558C22—81no—
1559C22—81no—
1560C22—81no—
1561C22—81no—
1562C22—81no—
1563C22—81no—
1564C22—81no—
1565C22—81no—
1566C22—81no—
1567C22—81no—
1568C22—81no—
1569C22—81no—
1570C22—81no—
1571C22—81no—
1572C22—168no—
1573C22C2×D4211yescharacteristic
1574C22C2×#54611yescharacteristic
1575C22#349611yescharacteristic
1576C22#358511yescharacteristic
1577C22#358511yescharacteristic
1578C22#358511yescharacteristic
1579C22#358611yescharacteristic
1580C4—22no—
1581C4—22no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—42no—
1588C4—41no—
1589C4—42no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4—41no—
1595C4—81no—
1596C4—81no—
1597C4—81no—
1598C4—81no—
1599C4—81no—
1600C4—81no—
1601C4—81no—
1602C4D4×#4111yescharacteristic
1603C4#348411yescharacteristic
1604C4#351911yescharacteristic
1605C4#353411yescharacteristic
1606C2—42no—
1607C2—42no—
1608C2—81no—
1609C2—81no—
1610C2—82no—
1611C2—161no—
1612C2—161no—
1613C2—161no—
1614C2#5912311yescharacteristic
1615C2#6106311yescharacteristic
1616C2#6108011yescharacteristic
1617C2#6117811yescharacteristic
1618C2#6122311yescharacteristic
1619C2#6229011yescharacteristic
1620C2#6233311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3317C2semidirect
2. C2×#3062C2semidirect
3. #44913C2semidirect
4. #44886C2semidirect
5. #30936C2semidirect
6. #30719C2semidirect
7. #30612C2semidirect
8. #30422C2semidirect
9. #28930C2semidirect
10. #28561C2semidirect
11. #28349C2semidirect
12. #27264C2semidirect
13. #26980C2semidirect
14. #26367C2semidirect
15. #26146C2semidirect
16. #25560C2semidirect
17. #25402C2semidirect
18. #25218C2semidirect
19. #25131C2semidirect
20. #25117C2semidirect
21. #25096C2semidirect
22. #24451C2semidirect
23. #24370C2semidirect
24. #24015C2semidirect
25. #23929C2semidirect
26. #23863C2semidirect
27. #23134C2semidirect
28. #22861C2semidirect
29. #22419C2semidirect
30. #21444C2semidirect
31. #20976C2semidirect
34. C2×#552C22semidirect
42. C2×#481C22semidirect
45. C2×#479C22semidirect
51. C2×#468C22semidirect
60. C2×#452C22semidirect
63. C2×#449C22semidirect
64. C2×#441C22semidirect
66. C2×#435C22semidirect
67. C2×#435C22semidirect
70. C2×#417C22semidirect
72. C2×#416C22semidirect
85. #2536C22semidirect
86. #2500C22semidirect
87. #2490C22semidirect
98. #2423C22semidirect
100. #2416C22semidirect
101. #2416C22semidirect
109. #2360C22semidirect
113. #2097C22semidirect
114. #2093C22semidirect
115. #2087C22semidirect
116. #2084C22semidirect
117. #2076C22semidirect
119. #2068C22semidirect
120. #2067C22semidirect
121. #2059C22semidirect
122. #2055C22semidirect
127. #2035C22semidirect
130. #2034C22semidirect
138. #2001C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
143. #1999C22semidirect
144. #1999C22semidirect
146. #1973C22semidirect
147. #1972C22semidirect
150. #1949C22semidirect
153. #1936C22semidirect
154. #1935C22semidirect
155. #1926C22semidirect
156. #1925C22semidirect
157. #1920C22semidirect
158. #1919C22semidirect
161. #1895C22semidirect
162. #1895C22semidirect
164. #1894C22semidirect
166. #1893C22semidirect
168. #1892C22semidirect
171. #1880C22semidirect
173. #1878C22semidirect
179. #1874C22semidirect
181. #1872C22semidirect
183. #1870C22semidirect
184. #1870C22semidirect
185. #1865C22semidirect
186. #1863C22semidirect
189. #1852C22semidirect
191. #1851C22semidirect
192. #1851C22semidirect
198. #1763C22semidirect
201. #1752C22semidirect
202. #1752C22semidirect
203. #1736C22semidirect
204. C2×#340C22semidirect
322. #465D4semidirect

Maximal subgroups

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

subgroupindex
C2×#33172
C2×#30622
#449132
#448862
#309362
#307192
#306122
#304222
#289302
#285612
#283492
#272642
#269802
#263672
#261462
#255602
#254022
#252182
#251312
#251172
#250962
#244512
#243702
#240152
#239292
#238632
#231342
#228612
#224192
#214442
#209762