Finite Group Databasebeta

← Group #11884415

Character table — Group #11884415

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order1222334444666666121212122344666661212121212121212121212121212266666666666121212121212121222244488881212121224242424242424242446666612121212122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-11-111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1
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
χ51111111111111111111111-1-1111111111-1-1-1-1111111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-11-1-11111-1-1
χ61111111111111111111111-1-1111111111-1-1-1-1111111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-11111-1-111
χ71111111111111111111111-1-1111111111-1-1-1-1111111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-11-1-11-1-1-1-1-1-111
χ81111111111111111111111-1-1111111111-1-1-1-1111111-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-111-111-1-111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-111111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-1-11-1-11
χ10111111-1-111111111-1-1-1-1-1111-1-111111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111-1-111-1-11111-1-1-1-1-1-1111-1-1-1111-1-1-111-1
χ11111111-1-111111111-1-1-1-1-1111-1-111111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-11-1-1-111-1-111-1-1-1-1111111-1-1-1111-1-1-111-111-1
χ12111111-1-111111111-1-1-1-1-1111-1-111111-1-111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-11-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1111111-1-11
χ13111111-1-111111111-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-11-1-1-1-11111-111-1-11111-1-111-1-1-1-1111-11-1-1-111-1-111-1-1-1-11111-1-11111-1-1-111-1-11-11-1
χ14111111-1-111111111-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-11-1-1-1-11111-111-1-11111-1-111-1-1-1-111-11-11-1-11111-1-1-1-1-1-111111-1-111-1111-1-1-1-1-11-11
χ15111111-1-111111111-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-11-1-1-1-11111-111-1-11111-1-111-1-1-1-1-1-11-11-111-1-1-1-1111111-1-1-1-1-111-1-11-1-1-11111-11-11
χ16111111-1-111111111-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-11-1-1-1-11111-111-1-11111-1-111-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-111-1-1-1-1111-1-1111-11-1
χ1722222222-2-22222222222-2200-2-2222-2-2220000-22222-2000-200-2-2000000-2-20000002-2-220000-2-2-2-20000000000000200200000000
χ1822222222-2-22222222222-2200-2-2222-2-2220000-22222-2000-200-2-2000000-2-2000000-222-2000022220000000000000-200-200000000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-20000-2-2-2-2-2-200020022000000-2-200000022-2-2000022-2-20000000000000200-200000000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-20000-2-2-2-2-2-200020022000000-2-2000000-2-2220000-2-2220000000000000-200200000000
χ2122222-1222222-1-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10022220000-1-1-1-10000000020200-1-1-1-1-1-1000000
χ2222222-1222222-1-1-1222222-12222-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-20000111100000000-20-200111111000000
χ2322222-1222222-1-1-1222222-1-2-222-1-1-1-1-1-1-111112-1-1-1-12-2-2-2-111-1-11111-2-2-1-111110022220000-1-1-1-100000000-20-200-111-111000000
χ2422222-1222222-1-1-1222222-1-2-222-1-1-1-1-1-1-111112-1-1-1-12-2-2-2-111-1-11111-2-2-1-1111100-2-2-2-20000111100000000202001-1-11-1-1000000
χ2522222-122-2-222-1-1-122222-2-100-2-2-1-1-111-1-1−i3−i3i3i3-2-1-1-1-1-20001−i3i311−i3−i3i3i30011−i3−i3i3i3002-2-22000011110000000000000-1−i3i3-1−i3i3000000
χ2622222-122-2-222-1-1-122222-2-100-2-2-1-1-111-1-1−i3−i3i3i3-2-1-1-1-1-20001−i3i311−i3−i3i3i30011−i3−i3i3i300-222-20000-1-1-1-100000000000001i3−i31i3−i3000000
χ2722222-122-2-222-1-1-122222-2-100-2-2-1-1-111-1-1i3i3−i3−i3-2-1-1-1-1-20001i3−i311i3i3−i3−i30011i3i3−i3−i3002-2-22000011110000000000000-1i3−i3-1i3−i3000000
χ2822222-122-2-222-1-1-122222-2-100-2-2-1-1-111-1-1i3i3−i3−i3-2-1-1-1-1-20001i3−i311i3i3−i3−i30011i3i3−i3−i300-222-20000-1-1-1-100000000000001−i3i31−i3i3000000
χ2922222-1-2-22222-1-1-12-2-2-2-2-2-122-2-2-1-1-1-1-111-1-1-1-1211112-2-2-211111111122-1-1-1-1-1-1002-22-2000011-1-10000000020-200-1-1-1111000000
χ3022222-1-2-22222-1-1-12-2-2-2-2-2-122-2-2-1-1-1-1-111-1-1-1-1211112-2-2-211111111122-1-1-1-1-1-100-22-220000-1-11100000000-20200111-1-1-1000000
χ3122222-1-2-22222-1-1-12-2-2-2-2-2-1-2-2-2-2-1-1-1-1-11111112111122221-1-111-1-1-1-1-2-2-1-11111002-22-2000011-1-100000000-20200-1111-1-1000000
χ3222222-1-2-22222-1-1-12-2-2-2-2-2-1-2-2-2-2-1-1-1-1-11111112111122221-1-111-1-1-1-1-2-2-1-1111100-22-220000-1-1110000000020-2001-1-1-111000000
χ3322222-1-2-2-2-222-1-1-12-2-2-2-22-10022-1-1-11111−i3−i3i3i3-21111-2000-1i3−i3-1-1i3i3−i3−i30011−i3−i3i3i30022-2-20000-1-1110000000000000-1−i3i31i3−i3000000
χ3422222-1-2-2-2-222-1-1-12-2-2-2-22-10022-1-1-11111−i3−i3i3i3-21111-2000-1i3−i3-1-1i3i3−i3−i30011−i3−i3i3i300-2-222000011-1-100000000000001i3−i3-1−i3i3000000
χ3522222-1-2-2-2-222-1-1-12-2-2-2-22-10022-1-1-11111i3i3−i3−i3-21111-2000-1−i3i3-1-1−i3−i3i3i30011i3i3−i3−i30022-2-20000-1-1110000000000000-1i3−i31−i3i3000000
χ3622222-1-2-2-2-222-1-1-12-2-2-2-22-10022-1-1-11111i3i3−i3−i3-21111-2000-1−i3i3-1-1−i3−i3i3i30011i3i3−i3−i300-2-222000011-1-100000000000001−i3i3-1i3−i3000000
χ372222-122222-1-1222-1-1-1-1-12-122-1-1-1-1-122222222-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022220000-1-1-1-1-1-1-1-1020-1-1000000-1-10000
χ382222-122222-1-1222-1-1-1-1-12-122-1-1-1-1-122222222-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000111111110-2011000000110000
χ392222-122222-1-1222-1-1-1-1-12-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-2112-2-2-1-1111111-1-11111220000-2-2-2-2000011111111020-1-1000000-1-10000
χ402222-122222-1-1222-1-1-1-1-12-1-2-2-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-2112-2-2-1-1111111-1-11111-2-2000022220000-1-1-1-1-1-1-1-10-2011000000110000
χ412222-12-2-222-1-1222-11111-2-12211-1-1-122-2-22222-11111-1-211-2-2-2111111-1-1-1-1-1-1-1-122000022-2-20000-1-1-1-111110-20-1-1000000110000
χ422222-12-2-222-1-1222-11111-2-12211-1-1-122-2-22222-11111-1-211-2-2-2111111-1-1-1-1-1-1-1-1-2-20000-2-22200001111-1-1-1-102011000000-1-10000
χ432222-12-2-222-1-1222-11111-2-1-2-211-1-1-122-2-2-2-2-2-2-11111-12-1-1-22211-1-1-1-111-1-11111220000-2-22200001111-1-1-1-10-20-1-1000000110000
χ442222-12-2-222-1-1222-11111-2-1-2-211-1-1-122-2-2-2-2-2-2-11111-12-1-1-22211-1-1-1-111-1-11111-2-2000022-2-20000-1-1-1-1111102011000000-1-10000
χ452-22-22200-22-2-2-22-220000022-200-2-222-2002-22-2-2000020000000000002-22-22-22-22-200002-200000022-2-200000002-2000000000000
χ462-22-22200-22-2-2-22-220000022-200-2-222-2002-22-2-2000020000000000002-22-22-22-2-220000-22000000-2-2220000000-22000000000000
χ472-22-22200-22-2-2-22-22000002-2200-2-222-200-22-22-200002000000000000-222-2-22-222-20000-22000000-2-22200000002-2000000000000
χ482-22-22200-22-2-2-22-22000002-2200-2-222-200-22-22-200002000000000000-222-2-22-22-2200002-200000022-2-20000000-22000000000000
χ492-22-2-1200-2211-22-2-1−i3−i3i3i30-12-2−i3i311-12-2002-22-21−i3−i3i3i3-10−i3i3000−i3i3−i3i3−i3i3-11-11-11-112-200002-2000000-1-111−i3−i3i3i3000-11000000−i3i30000
χ502-22-2-1200-2211-22-2-1−i3−i3i3i30-12-2−i3i311-12-2002-22-21−i3−i3i3i3-10−i3i3000−i3i3−i3i3−i3i3-11-11-11-11-220000-2200000011-1-1i3i3−i3−i30001-1000000i3−i30000
χ512-22-2-1200-2211-22-2-1−i3−i3i3i30-1-22−i3i311-12-200-22-221−i3−i3i3i3-10i3−i3000−i3i3i3−i3i3−i31-1-111-11-12-20000-2200000011-1-1i3i3−i3−i3000-11000000−i3i30000
χ522-22-2-1200-2211-22-2-1−i3−i3i3i30-1-22−i3i311-12-200-22-221−i3−i3i3i3-10i3−i3000−i3i3i3−i3i3−i31-1-111-11-1-2200002-2000000-1-111−i3−i3i3i30001-1000000i3−i30000
χ532-22-2-1200-2211-22-2-1i3i3−i3−i30-12-2i3−i311-12-2002-22-21i3i3−i3−i3-10i3−i3000i3−i3i3−i3i3−i3-11-11-11-112-200002-2000000-1-111i3i3−i3−i3000-11000000i3−i30000
χ542-22-2-1200-2211-22-2-1i3i3−i3−i30-12-2i3−i311-12-2002-22-21i3i3−i3−i3-10i3−i3000i3−i3i3−i3i3−i3-11-11-11-11-220000-2200000011-1-1−i3−i3i3i30001-1000000−i3i30000
χ552-22-2-1200-2211-22-2-1i3i3−i3−i30-1-22i3−i311-12-200-22-221i3i3−i3−i3-10−i3i3000i3−i3−i3i3−i3i31-1-111-11-12-20000-2200000011-1-1−i3−i3i3i3000-11000000i3−i30000
χ562-22-2-1200-2211-22-2-1i3i3−i3−i30-1-22i3−i311-12-200-22-221i3i3−i3−i3-10−i3i3000i3−i3−i3i3−i3i31-1-111-11-1-2200002-2000000-1-111i3i3−i3−i30001-1000000−i3i30000
χ574444-2444-4-4-2-2444-2-2-2-2-2-4-20022-2-2-2-4-44400002-2-2-2-22000-40022000000220000000000000000000000000000000000000000000
χ584444-24-4-4-4-4-2-2444-222224-200-2-2-2-2-2-4-4-4-40000222222000400-2-2000000220000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-24144-2-2111-2-2-2-2-2-2-2-2-21111-24-2-2-2-2-2111111-2-2111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-241-4-4-2-2111-2-2-2-22222-21111-2-422-22211-1-1-1-12211-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-41002211122-2-2−2i3−2i32i32i32111120002−2i32i3-1-1i3i3−i3−i300-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-41002211122-2-22i32i3−2i3−2i321111200022i3−2i3-1-1−i3−i3i3i300-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222-414422111-2-222-2-2-2-2-2-1-1-1-1-2-422222-1-1-1-1-1-1-2-2111111000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-41-4-422111-2-2222222-2-1-1-1-1-24-2-22-2-2-1-111112211-1-1-1-1000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-21112222−2i3−2i32i32i32-1-1-1-12000-22i3−2i311−i3−i3i3i300-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-222224100-2-211122222i32i3−2i3−2i32-1-1-1-12000-2−2i32i311i3i3−i3−i300-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ6744-4-4444i−4i004-44-4-4-44i−4i4i−4i0400004-4-4004i−4i000004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ6844-4-444−4i4i004-44-4-4-4−4i4i−4i4i0400004-4-400−4i4i00000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ6944-4-44-24i−4i004-4-222-44i−4i4i−4i0-20000-22200−2i2i00000−2i2i−2i2i0000000000000000000000000000000−2i32i323−230000000000000000000000000
χ7044-4-44-24i−4i004-4-222-44i−4i4i−4i0-20000-22200−2i2i00000−2i2i−2i2i00000000000000000000000000000002i3−2i3−23230000000000000000000000000
χ7144-4-44-2−4i4i004-4-222-4−4i4i−4i4i0-20000-222002i−2i000002i−2i2i−2i0000000000000000000000000000000−2i32i3−23230000000000000000000000000
χ7244-4-44-2−4i4i004-4-222-4−4i4i−4i4i0-20000-222002i−2i000002i−2i2i−2i00000000000000000000000000000002i3−2i323−230000000000000000000000000
χ7344-4-4-244i−4i00-224-4-42−2i2i−2i2i0-20000-222004i−4i00000−2i2i−2i2i000000000000000000000000000000000006−66−6i6−i6i6−i600000000000000000
χ7444-4-4-244i−4i00-224-4-42−2i2i−2i2i0-20000-222004i−4i00000−2i2i−2i2i00000000000000000000000000000000000−66−66−i6i6−i6i600000000000000000
χ7544-4-4-24−4i4i00-224-4-422i−2i2i−2i0-20000-22200−4i4i000002i−2i2i−2i000000000000000000000000000000000006−66−6−i6i6−i6i600000000000000000
χ7644-4-4-24−4i4i00-224-4-422i−2i2i−2i0-20000-22200−4i4i000002i−2i2i−2i00000000000000000000000000000000000−66−66i6−i6i6−i600000000000000000
χ774-44-444004-4-4-4-44-440000040000-4-44-4400000040000-400000000000000-440000000000000000000000000000000000000000000
χ784-44-44-2004-4-4-42-22400000-2000022-22-200−2i32i32i3−2i340000-4000000000000002-2−2i32i32i3−2i3000000000000000000000000000000000000000
χ794-44-44-2004-4-4-42-22400000-2000022-22-2002i3−2i3−2i32i340000-4000000000000002-22i3−2i3−2i32i3000000000000000000000000000000000000000
χ804-44-44-200-44-4-42-22400000-24-40022-2-2200-22-22-4000040000000000004-4-22-22-22000000000000000000000000000000000000000
χ814-44-44-200-44-4-42-22400000-2-440022-2-22002-22-2-400004000000000000-44-222-22-2000000000000000000000000000000000000000
χ824-44-4-24004-422-44-4-2−2i3−2i32i32i30-2002i3−2i322-2-44000000-2−2i3−2i32i32i320000002i3−2i30000002-20000000000000000000000000000000000000000000
χ834-44-4-24004-422-44-4-22i32i3−2i3−2i30-200−2i32i322-2-44000000-22i32i3−2i3−2i32000000−2i32i30000002-20000000000000000000000000000000000000000000
χ844-44-4-2-2004-4222-22-2−2i3−2i32i32i301002i3−2i3-1-112-200−2i32i32i3−2i3-2i3i3−i3−i32000000−i3i3-333-300-11i3−i3−i3i3000000000000000000000000000000000000000
χ854-44-4-2-2004-4222-22-2−2i3−2i32i32i301002i3−2i3-1-112-2002i3−2i3−2i32i3-2i3i3−i3−i32000000−i3i33-3-3300-11−i3i3i3−i3000000000000000000000000000000000000000
χ864-44-4-2-2004-4222-22-22i32i3−2i3−2i30100−2i32i3-1-112-200−2i32i32i3−2i3-2−i3−i3i3i32000000i3−i33-3-3300-11i3−i3−i3i3000000000000000000000000000000000000000
χ874-44-4-2-2004-4222-22-22i32i3−2i3−2i30100−2i32i3-1-112-2002i3−2i3−2i32i3-2−i3−i3i3i32000000i3−i3-333-300-11−i3i3i3−i3000000000000000000000000000000000000000
χ884-44-4-2-200-44222-22-2−2i3−2i32i32i3014-4−2i32i3-1-11-2200-22-222i3i3−i3−i3-20−2i32i3000i3−i3i3−i3i3−i3-221-11-11-1000000000000000000000000000000000000000
χ894-44-4-2-200-44222-22-2−2i3−2i32i32i301-44−2i32i3-1-11-22002-22-22i3i3−i3−i3-202i3−2i3000i3−i3−i3i3−i3i32-21-1-11-11000000000000000000000000000000000000000
χ904-44-4-2-200-44222-22-22i32i3−2i3−2i3014-42i3−2i3-1-11-2200-22-222−i3−i3i3i3-202i3−2i3000−i3i3−i3i3−i3i3-221-11-11-1000000000000000000000000000000000000000
χ914-44-4-2-200-44222-22-22i32i3−2i3−2i301-442i3−2i3-1-11-22002-22-22−i3−i3i3i3-20−2i32i3000−i3i3i3−i3i3−i32-21-1-11-11000000000000000000000000000000000000000
χ924-4-44440000-44-4-44-40000040000-44-400000000000000000000000000000000000000000022−220000000022−22−222200000000000000000
χ934-4-44440000-44-4-44-40000040000-44-4000000000000000000000000000000000000000000−222200000000−222222−2200000000000000000
χ944-4-44-2400002-2-4-44223−23−23230-200002-2200000000023−23−23230000000000000000000000000000022−220000−666−6−222−200000000000000000
χ954-4-44-2400002-2-4-44223−23−23230-200002-2200000000023−23−232300000000000000000000000000000−222200006−6−662−2−2200000000000000000
χ964-4-44-2400002-2-4-442−232323−230-200002-22000000000−232323−230000000000000000000000000000022−2200006−6−66−222−200000000000000000
χ974-4-44-2400002-2-4-442−232323−230-200002-22000000000−232323−2300000000000000000000000000000−22220000−666−62−2−2200000000000000000
χ9888-8-8-4-48i−8i00-44-4444−4i4i−4i4i0200002-2-200−4i4i000002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i00-44-44444i−4i4i−4i0200002-2-2004i−4i00000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-8844-4-800000-400004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-400004-444-4443−43−4343020000-22-2000000000−232323−23000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-400004-444-44−434343−43020000-22-200000000023−23−2323000000000000000000000000000000000000000000000000000000000000

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