Finite Group Databasebeta

← Group #11884260

Character table — Group #11884260

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222334444666666121212122223666666666121212121212121212124666666666121212121212121212122224448888121212122424242424242424444666121212121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-11-1-111-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1
χ6111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111-1111111-1-111
χ7111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-11-1-11-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-1-1111111111111111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-1-111-1-11111-1-1
χ9111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1111-11-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1111-1-11
χ10111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-111-11-1111-1-111-1-11111-1-1-1-11-1-1-111111-1-1-1-1-111-1
χ11111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-11111-1111-1-1-1-1-11111-111-1
χ12111111-1-111111111-1-1-1-1-11111111-1-1111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-11111-1-1-1-1-1-1111111-1-1-1-111111-1-11-1-11
χ13111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-111-1-1-1-111111-1-1111-111-1-1-1-11-11-1
χ14111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-11-11-1-11111-1-1-1-1-1-11111-1-11-1111-1-1-1-111-11-11
χ15111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-11-11-111-1-1-1-1111111-1-1-1-111-11-1-1-11111-1-1-11-11
χ16111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-11-1111-1-111-1-11111-1-1-1-1-111-1-1-11-1-111111-11-1
χ1722222222-2-22222222222-20020000-2-2222-2-2-2222222-20-200-2-200000000-2-20000002-2-220000-2-2-2-20000000000020020000000000
χ1822222222-2-22222222222-20020000-2-2222-2-2-2222222-20-200-2-200000000-2-2000000-222-20000222200000000000-200-20000000000
χ19222222-2-2-2-2222222-2-2-2-22002000022222-2-2-2-2-2-2-2-2-2-202002200000000-2-200000022-2-2000022-2-200000000000200-20000000000
χ20222222-2-2-2-2222222-2-2-2-22002000022222-2-2-2-2-2-2-2-2-2-202002200000000-2-2000000-2-2220000-2-22200000000000-20020000000000
χ2122222-12222-1-122-12-1-1-1-1222-12222-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-10200-1-1000-1-1000000
χ2222222-12222-1-122-12-1-1-1-1222-12222-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-20000-2-2-2-20000111111110-2001100011000000
χ2322222-12222-1-122-12-1-1-1-12-2-2-1-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-2211-1-1111111-2-2-1-11111220000-2-2-2-20000111111110200-1-1000-1-1000000
χ2422222-12222-1-122-12-1-1-1-12-2-2-1-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-2211-1-1111111-2-2-1-11111-2-2000022220000-1-1-1-1-1-1-1-10-2001100011000000
χ2522222-1-2-222-1-122-121111-222-1222211-1-1-1-122-2-21111-1-2-2-1-111-1-1-1-111-2-2-1-1111122000022-2-20000-1-1-1-111110-200-1-100011000000
χ2622222-1-2-222-1-122-121111-222-1222211-1-1-1-122-2-21111-1-2-2-1-111-1-1-1-111-2-2-1-11111-2-20000-2-22200001111-1-1-1-1020011000-1-1000000
χ2722222-1-2-222-1-122-121111-2-2-2-1-2-2-2-211-1-1-1-122-2-21111-12-211111111-1-122-1-1-1-1-1-1220000-2-22200001111-1-1-1-10-200-1-100011000000
χ2822222-1-2-222-1-122-121111-2-2-2-1-2-2-2-211-1-1-1-122-2-21111-12-211111111-1-122-1-1-1-1-1-1-2-2000022-2-20000-1-1-1-11111020011000-1-1000000
χ292222-12222222-1-12-12222222-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-100000000202-100-1-1-100-1-10000
χ302222-12222222-1-12-12222222-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-122-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-20000111100000000-20-210011100110000
χ312222-12222222-1-12-122222-2-2-1111122-1-1-12-1-1-1-1-1-1-1-12-2-1-2-2-1-11111-2-211-1-111110022220000-1-1-1-100000000-20-2-100-11100110000
χ322222-12222222-1-12-122222-2-2-1111122-1-1-12-1-1-1-1-1-1-1-12-2-1-2-2-1-11111-2-211-1-1111100-2-2-2-200001111000000002021001-1-100-1-10000
χ332222-1222-2-222-1-12-12222-200-1−i3−i3i3i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011−i3−i3i3i300−i3i311−i3−i3i3i3002-2-220000111100000000000-100-1−i3i300−i3i30000
χ342222-1222-2-222-1-12-12222-200-1−i3−i3i3i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011−i3−i3i3i300−i3i311−i3−i3i3i300-222-20000-1-1-1-1000000000001001i3−i300i3−i30000
χ352222-1222-2-222-1-12-12222-200-1i3i3−i3−i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011i3i3−i3−i300i3−i311i3i3−i3−i3002-2-220000111100000000000-100-1i3−i300i3−i30000
χ362222-1222-2-222-1-12-12222-200-1i3i3−i3−i3-2-2-1-1-1-211-1-1-1-1-1-1-2010011i3i3−i3−i300i3−i311i3i3−i3−i300-222-20000-1-1-1-1000000000001001−i3i300−i3i30000
χ372222-12-2-22222-1-12-1-2-2-2-2-222-1-1-1-1-1-2-2-1-1-12-1-11111112-212211-1-1-1-1-2-211-1-11111002-22-2000011-1-100000000-202-10011100-1-10000
χ382222-12-2-22222-1-12-1-2-2-2-2-222-1-1-1-1-1-2-2-1-1-12-1-11111112-212211-1-1-1-1-2-211-1-1111100-22-220000-1-1110000000020-2100-1-1-100110000
χ392222-12-2-22222-1-12-1-2-2-2-2-2-2-2-11111-2-2-1-1-12-1-1111111221-2-211111122-1-1-1-1-1-1-1-1002-22-2000011-1-10000000020-2-1001-1-100110000
χ402222-12-2-22222-1-12-1-2-2-2-2-2-2-2-11111-2-2-1-1-12-1-1111111221-2-211111122-1-1-1-1-1-1-1-100-22-220000-1-11100000000-202100-11100-1-10000
χ412222-12-2-2-2-222-1-12-1-2-2-2-2200-1−i3−i3i3i322-1-1-1-211111111-20-100-1-1−i3−i3i3i300i3−i311i3i3−i3−i30022-2-20000-1-11100000000000-1001i3−i300−i3i30000
χ422222-12-2-2-2-222-1-12-1-2-2-2-2200-1−i3−i3i3i322-1-1-1-211111111-20-100-1-1−i3−i3i3i300i3−i311i3i3−i3−i300-2-222000011-1-100000000000100-1−i3i300i3−i30000
χ432222-12-2-2-2-222-1-12-1-2-2-2-2200-1i3i3−i3−i322-1-1-1-211111111-20-100-1-1i3i3−i3−i300−i3i311−i3−i3i3i30022-2-20000-1-11100000000000-1001−i3i300i3−i30000
χ442222-12-2-2-2-222-1-12-1-2-2-2-2200-1i3i3−i3−i322-1-1-1-211111111-20-100-1-1i3i3−i3−i300−i3i311−i3−i3i3i300-2-222000011-1-100000000000100-1i3−i300−i3i30000
χ452-22-22200-22-2-2-2-222000002-222-22-200-2-22-22-20000002002-2002-22-200002-200002-200002-200000022-2-2000000002-200000000000
χ462-22-22200-22-2-2-2-222000002-222-22-200-2-22-22-20000002002-2002-22-200002-20000-220000-22000000-2-22200000000-2200000000000
χ472-22-22200-22-2-2-2-22200000-222-22-2200-2-22-22-2000000200-2200-22-2200002-200002-20000-22000000-2-222000000002-200000000000
χ482-22-22200-22-2-2-2-22200000-222-22-2200-2-22-22-2000000200-2200-22-2200002-20000-2200002-200000022-2-200000000-2200000000000
χ492-22-22-100-2211-2-2-12−i3−i3i3i302-2-12-22-2−i3i311-112-200−i3−i3i3i3-100-11−i3i3-11-11−i3i300-11−i3i3−i3i32-200002-2000000-1-111−i3−i3i3i30000-11000−i3i3000000
χ502-22-22-100-2211-2-2-12−i3−i3i3i302-2-12-22-2−i3i311-112-200−i3−i3i3i3-100-11−i3i3-11-11−i3i300-11−i3i3−i3i3-220000-2200000011-1-1i3i3−i3−i300001-1000i3−i3000000
χ512-22-22-100-2211-2-2-12−i3−i3i3i30-22-1-22-22−i3i311-112-200−i3−i3i3i3-1001-1−i3i31-11-1i3−i300-11i3−i3i3−i32-20000-2200000011-1-1i3i3−i3−i30000-11000−i3i3000000
χ522-22-22-100-2211-2-2-12−i3−i3i3i30-22-1-22-22−i3i311-112-200−i3−i3i3i3-1001-1−i3i31-11-1i3−i300-11i3−i3i3−i3-2200002-2000000-1-111−i3−i3i3i300001-1000i3−i3000000
χ532-22-22-100-2211-2-2-12i3i3−i3−i302-2-12-22-2i3−i311-112-200i3i3−i3−i3-100-11i3−i3-11-11i3−i300-11i3−i3i3−i32-200002-2000000-1-111i3i3−i3−i30000-11000i3−i3000000
χ542-22-22-100-2211-2-2-12i3i3−i3−i302-2-12-22-2i3−i311-112-200i3i3−i3−i3-100-11i3−i3-11-11i3−i300-11i3−i3i3−i3-220000-2200000011-1-1−i3−i3i3i300001-1000−i3i3000000
χ552-22-22-100-2211-2-2-12i3i3−i3−i30-22-1-22-22i3−i311-112-200i3i3−i3−i3-1001-1i3−i31-11-1−i3i300-11−i3i3−i3i32-20000-2200000011-1-1−i3−i3i3i30000-11000i3−i3000000
χ562-22-22-100-2211-2-2-12i3i3−i3−i30-22-1-22-22i3−i311-112-200i3i3−i3−i3-1001-1i3−i31-11-1−i3i300-11−i3i3−i3i3-2200002-2000000-1-111i3i3−i3−i300001-1000−i3i3000000
χ5744444-244-4-4-2-244-24-2-2-2-2-400-2000022-2-2-22-4-444-2-2-2-220-4002200000000220000000000000000000000000000000000000000000
χ5844444-2-4-4-4-4-2-244-242222400-20000-2-2-2-2-22-4-4-4-4222220400-2-200000000220000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-24441-2-2-2-2-2-2111-2-2-2-2-21111-24-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-24-4-412222-2-2111-2-2-2-2-21111-2-4-22211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001−2i3−2i32i32i322111222-2-2111120200-1-1i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-40012i32i3−2i3−2i322111222-2-2111120200-1-1−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222-4441-2-2-2-222111-2-2-222-1-1-1-1-2-42-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-4-4-41222222111-2-2-222-1-1-1-1-24222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222224001−2i3−2i32i32i3-2-211122222-1-1-1-120-20011i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-2222240012i32i3−2i3−2i3-2-211122222-1-1-1-120-20011−i3−i3i3i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-4444i−4i004-4-44-4-44i−4i4i−4i00040000004-4-40004i−4i4i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ6844-4-444−4i4i004-4-44-4-4−4i4i−4i4i00040000004-4-4000−4i4i−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ6944-4-44-24i−4i00-22-442-4−2i2i−2i2i000-2000000-2220004i−4i−2i2i−2i2i00000000000000000000000000000000000i6−i6i6−i66−66−600000000000000000
χ7044-4-44-24i−4i00-22-442-4−2i2i−2i2i000-2000000-2220004i−4i−2i2i−2i2i00000000000000000000000000000000000−i6i6−i6i6−66−6600000000000000000
χ7144-4-44-2−4i4i00-22-442-42i−2i2i−2i000-2000000-222000−4i4i2i−2i2i−2i00000000000000000000000000000000000i6−i6i6−i6−66−6600000000000000000
χ7244-4-44-2−4i4i00-22-442-42i−2i2i−2i000-2000000-222000−4i4i2i−2i2i−2i00000000000000000000000000000000000−i6i6−i6i66−66−600000000000000000
χ7344-4-4-244i−4i004-42-2-424i−4i4i−4i000-2000000-222000−2i2i−2i2i−2i2i0000000000000000000000000000000−2i32i323−230000000000000000000000000
χ7444-4-4-244i−4i004-42-2-424i−4i4i−4i000-2000000-222000−2i2i−2i2i−2i2i00000000000000000000000000000002i3−2i3−23230000000000000000000000000
χ7544-4-4-24−4i4i004-42-2-42−4i4i−4i4i000-2000000-2220002i−2i2i−2i2i−2i0000000000000000000000000000000−2i32i3−23230000000000000000000000000
χ7644-4-4-24−4i4i004-42-2-42−4i4i−4i4i000-2000000-2220002i−2i2i−2i2i−2i00000000000000000000000000000002i3−2i323−230000000000000000000000000
χ774-44-444004-4-4-4-4-44400000004000000-4-444-44000000-400000000000000-440000000000000000000000000000000000000000000
χ784-44-44-2004-422-4-4-24−2i3−2i32i32i3000-200002i3−2i322-2-2-4400−2i3−2i32i32i3200002i3−2i3000000002-20000000000000000000000000000000000000000000
χ794-44-44-2004-422-4-4-242i32i3−2i3−2i3000-20000−2i32i322-2-2-44002i32i3−2i3−2i320000−2i32i3000000002-20000000000000000000000000000000000000000000
χ804-44-4-24004-4-4-4224-20000000-2−2i32i32i3−2i30022-242-2000000-4000000−2i32i32i3−2i300002-20000000000000000000000000000000000000000000
χ814-44-4-24004-4-4-4224-20000000-22i3−2i3−2i32i30022-242-2000000-40000002i3−2i3−2i32i300002-20000000000000000000000000000000000000000000
χ824-44-4-2400-44-4-4224-2000004-4-2-22-220022-2-4-220000004004-400-22-220000-220000000000000000000000000000000000000000000
χ834-44-4-2400-44-4-4224-200000-44-22-22-20022-2-4-22000000400-44002-22-20000-220000000000000000000000000000000000000000000
χ844-44-4-2-2004-42222-2-2−2i3−2i32i32i30001−2i32i32i3−2i32i3−2i3-1-11-22-200i3i3−i3−i320000−i3i3i3−i3−i3i30000-11-333-3000000000000000000000000000000000000000
χ854-44-4-2-2004-42222-2-2−2i3−2i32i32i300012i3−2i3−2i32i32i3−2i3-1-11-22-200i3i3−i3−i320000−i3i3−i3i3i3−i30000-113-3-33000000000000000000000000000000000000000
χ864-44-4-2-2004-42222-2-22i32i3−2i3−2i30001−2i32i32i3−2i3−2i32i3-1-11-22-200−i3−i3i3i320000i3−i3i3−i3−i3i30000-113-3-33000000000000000000000000000000000000000
χ874-44-4-2-2004-42222-2-22i32i3−2i3−2i300012i3−2i3−2i32i3−2i32i3-1-11-22-200−i3−i3i3i320000i3−i3−i3i3i3−i30000-11-333-3000000000000000000000000000000000000000
χ884-44-4-2-200-442222-2-2−2i3−2i32i32i304-41-22-22−2i32i3-1-112-2200i3i3−i3−i3-200-22i3−i31-11-1−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000
χ894-44-4-2-200-442222-2-2−2i3−2i32i32i30-4412-22-2−2i32i3-1-112-2200i3i3−i3−i3-2002-2i3−i3-11-112i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000
χ904-44-4-2-200-442222-2-22i32i3−2i3−2i304-41-22-222i3−2i3-1-112-2200−i3−i3i3i3-200-22−i3i31-11-12i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000
χ914-44-4-2-200-442222-2-22i32i3−2i3−2i30-4412-22-22i3−2i3-1-112-2200−i3−i3i3i3-2002-2−i3i3-11-11−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000
χ924-4-44440000-444-4-4-400000004000000-44-400000000000000000000000000000000000000−2i22i200000000−2i22i22i2−2i200000000000000000
χ934-4-44440000-444-4-4-400000004000000-44-4000000000000000000000000000000000000002i2−2i2000000002i2−2i2−2i22i200000000000000000
χ944-4-444-200002-24-42-423−23−2323000-20000002-220000023−23−232300000000000000000000000000000−2i22i20000−i6i6i6−i6i2−i2−i2i200000000000000000
χ954-4-444-200002-24-42-423−23−2323000-20000002-220000023−23−2323000000000000000000000000000002i2−2i20000i6−i6−i6i6−i2i2i2−i200000000000000000
χ964-4-444-200002-24-42-4−232323−23000-20000002-2200000−232323−2300000000000000000000000000000−2i22i20000i6−i6−i6i6i2−i2−i2i200000000000000000
χ974-4-444-200002-24-42-4−232323−23000-20000002-2200000−232323−23000000000000000000000000000002i2−2i20000−i6i6i6−i6−i2i2i2−i200000000000000000
χ9888-8-8-4-48i−8i00-444-444−4i4i−4i4i00020000002-2-2000−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i00-444-4444i−4i4i−4i00020000002-2-20004i−4i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-480000-88-44-840000000-40000004-44000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004-4-444443−43−43430002000000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004-4-4444−434343−430002000000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).