Finite Group Databasebeta

← Group #11895645

Character table — Group #11895645

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121234446661212121212121212121212128888266666666121212121212121212121212124488888824242424242424244444444121212122424242444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111-11111-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1111-1-111-1-1-111-11-1
χ10111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111-11111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-1111-1-11-11
χ11111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-11111-1-1-1-1-1-11111-1-111-111-1-11111-1-11-11-1-11
χ12111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-1-111-1-111-11-111-1
χ13111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-11111-1-1-11-11-11
χ14111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111-1-111-1-1111-11-11-1
χ15111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-1-111-1-111-1-11-1-111-1
χ16111111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-111-111-1-11
χ1722222222-2-22222222222200-2222-2-2-2222222-2-2-2000000000000000-200-2-2-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222200-2222-2-2-2222222-2-2-2000000000000000-200-2-2-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22002222-222-2-2-2-2-2-2-2-2-2000000000000000200-2-2220000000000000000000022-2-2000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-22002222-222-2-2-2-2-2-2-2-2-2000000000000000200-2-22200000000000000000000-2-22200000000000-220000
χ2122222-122222-12-1-12-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000020-1-1-1-10000000000
χ2222222-122222-12-1-12-1-1-1-1-1222-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000-2011110000000000
χ2322222-122222-12-1-12-1-1-1-1-1-2-22-1-1-12-1-122-1-1-1-1-1-122222-2-2-2111111112-2-2-1-1-1-11111-2-2220000-1-1-1-1-1-1-1-100000-2011110000000000
χ2422222-122222-12-1-12-1-1-1-1-1-2-22-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2-2-2-2111111112-2-2-1-1-1-1111122-2-20000111111110000020-1-1-1-10000000000
χ2522222-1-2-2222-12-1-121111-122-2-1-1-1211-2-21111-1-122222-2-2-2111111-1-1-222-1-111-1-1-1-122-2-20000-1-1-1-1111100000-20-1-1110000000000
χ2622222-1-2-2222-12-1-121111-122-2-1-1-1211-2-21111-1-12-2-2-2-2-2-2-2111111-1-1-222-1-111-1-1-1-1-2-22200001111-1-1-1-1000002011-1-10000000000
χ2722222-1-2-2222-12-1-121111-1-2-2-2-1-1-1211-2-21111-1-122222222-1-1-1-1-1-111-2-2-2-1-1111111-2-2-2-20000-1-1-1-11111000002011-1-10000000000
χ2822222-1-2-2222-12-1-121111-1-2-2-2-1-1-1211-2-21111-1-12-2-2-2-2222-1-1-1-1-1-111-2-2-2-1-1111111222200001111-1-1-1-100000-20-1-1110000000000
χ292222-122222-12-122-12222-1222-1-1-1-122-1-1-1-1-1-122-100002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1000022220000000000002020000-1-1-1-100-1-100
χ302222-122222-12-122-12222-1222-1-1-1-122-1-1-1-1-1-122-100002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-20-200001111001100
χ312222-122222-12-122-12222-1-2-22-1-1-1-122-1-1-1-1-1-122-10000-211-2-21111-2-2-111-1-1-1-1111100002222000000000000-20-20000-1-1-1-1001100
χ322222-122222-12-122-12222-1-2-22-1-1-1-122-1-1-1-1-1-122-10000-211-2-21111-2-2-111-1-1-1-111110000-2-2-2-20000000000002020000111100-1-100
χ332222-12-2-222-12-122-1-2-2-2-2-122-2-1-1-1-1-2-211111122-10000-211-2-21111221-1-1-1-111-1-1-1-1000022-2-2000000000000-2020000-1-11100-1100
χ342222-12-2-222-12-122-1-2-2-2-2-122-2-1-1-1-1-2-211111122-10000-211-2-21111221-1-1-1-111-1-1-1-10000-2-22200000000000020-2000011-1-1001-100
χ352222-12-2-222-12-122-1-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-100002-1-122-1-1-1-1-2-2111-1-1111111000022-2-200000000000020-20000-1-111001-100
χ362222-12-2-222-12-122-1-2-2-2-2-1-2-2-2-1-1-1-1-2-211111122-100002-1-122-1-1-1-1-2-2111-1-11111110000-2-222000000000000-202000011-1-100-1100
χ3722-2-22200-222-2-22-2-2000022i−2i02-2-2-2000000002-222i2i−2i−2i0000000002i−2i02i−2i2-2002i2i−2i−2i2-20000002i2i−2i−2i000000000002-2000000000000
χ3822-2-22200-222-2-22-2-2000022i−2i02-2-2-2000000002-22−2i−2i2i2i0000000002i−2i02i−2i2-2002i2i−2i−2i-22000000−2i−2i2i2i00000000000-22000000000000
χ3922-2-22200-222-2-22-2-200002−2i2i02-2-2-2000000002-222i2i−2i−2i000000000−2i2i0−2i2i2-200−2i−2i2i2i-220000002i2i−2i−2i00000000000-22000000000000
χ4022-2-22200-222-2-22-2-200002−2i2i02-2-2-2000000002-22−2i−2i2i2i000000000−2i2i0−2i2i2-200−2i−2i2i2i2-2000000−2i−2i2i2i000000000002-2000000000000
χ4122-2-22-100-2221-2-11-233−3−3-12i−2i0-111-23−30033−3−3-1122i2i−2i−2i000−i3i3−i3−i3i3i3−ii02i−2i-113−3−i−iii2-2000000−i−iii−i3−i3i3i30000000-113−30000000000
χ4222-2-22-100-2221-2-11-233−3−3-12i−2i0-111-23−30033−3−3-112−2i−2i2i2i000−i3i3−i3−i3i3i3−ii02i−2i-113−3−i−iii-22000000ii−i−ii3i3−i3−i300000001-1−330000000000
χ4322-2-22-100-2221-2-11-233−3−3-1−2i2i0-111-23−30033−3−3-1122i2i−2i−2i000i3−i3i3i3−i3−i3i−i0−2i2i-113−3ii−i−i-22000000−i−iii−i3−i3i3i300000001-1−330000000000
χ4422-2-22-100-2221-2-11-233−3−3-1−2i2i0-111-23−30033−3−3-112−2i−2i2i2i000i3−i3i3i3−i3−i3i−i0−2i2i-113−3ii−i−i2-2000000ii−i−ii3i3−i3−i30000000-113−30000000000
χ4522-2-22-100-2221-2-11-2−3−333-12i−2i0-111-2−3300−3−333-1122i2i−2i−2i000i3−i3i3i3−i3−i3−ii02i−2i-11−33−i−iii2-2000000−i−iiii3i3−i3−i30000000-11−330000000000
χ4622-2-22-100-2221-2-11-2−3−333-12i−2i0-111-2−3300−3−333-112−2i−2i2i2i000i3−i3i3i3−i3−i3−ii02i−2i-11−33−i−iii-22000000ii−i−i−i3−i3i3i300000001-13−30000000000
χ4722-2-22-100-2221-2-11-2−3−333-1−2i2i0-111-2−3300−3−333-1122i2i−2i−2i000−i3i3−i3−i3i3i3i−i0−2i2i-11−33ii−i−i-22000000−i−iiii3i3−i3−i300000001-13−30000000000
χ4822-2-22-100-2221-2-11-2−3−333-1−2i2i0-111-2−3300−3−333-112−2i−2i2i2i000−i3i3−i3−i3i3i3i−i0−2i2i-11−33ii−i−i2-2000000ii−i−i−i3−i3i3i30000000-11−330000000000
χ492-2-22222i−2i00-2-22-22-22i−2i2i−2i2000-22-20002i−2i2i−2i2i−2i0002−22−2000000000000000000000000−i2i2−i2i22−22−22−2−i2i2−i2i22i−2i2-20000000−i2i22−2000000
χ502-2-22222i−2i00-2-22-22-22i−2i2i−2i2000-22-20002i−2i2i−2i2i−2i0002−22−2000000000000000000000000−i2i2i2−i2−222−22−2−i2i2−i2i2−2i2i-220000000i2−i2−22000000
χ512-2-22222i−2i00-2-22-22-22i−2i2i−2i2000-22-20002i−2i2i−2i2i−2i000−22−22000000000000000000000000i2−i2−i2i22−2−22−22i2−i2i2−i2−2i2i-220000000−i2i22−2000000
χ522-2-22222i−2i00-2-22-22-22i−2i2i−2i2000-22-20002i−2i2i−2i2i−2i000−22−22000000000000000000000000i2−i2i2−i2−22−22−22i2−i2i2−i22i−2i2-20000000i2−i2−22000000
χ532-2-2222−2i2i00-2-22-22-2−2i2i−2i2i2000-22-2000−2i2i−2i2i−2i2i0002−22−2000000000000000000000000i2−i2−i2i2−222−22−2i2−i2i2−i22i−2i-220000000−i2i2−22000000
χ542-2-2222−2i2i00-2-22-22-2−2i2i−2i2i2000-22-2000−2i2i−2i2i−2i2i0002−22−2000000000000000000000000i2−i2i2−i22−22−22−2i2−i2i2−i2−2i2i2-20000000i2−i22−2000000
χ552-2-2222−2i2i00-2-22-22-2−2i2i−2i2i2000-22-2000−2i2i−2i2i−2i2i000−22−22000000000000000000000000−i2i2−i2i2−22−22−22−i2i2−i2i2−2i2i2-20000000−i2i2−22000000
χ562-2-2222−2i2i00-2-22-22-2−2i2i−2i2i2000-22-2000−2i2i−2i2i−2i2i000−22−22000000000000000000000000−i2i2i2−i22−2−22−22−i2i2−i2i22i−2i-220000000i2−i22−2000000
χ5744444-244-4-44-24-2-24-2-2-2-2-200-4-2-2-2-42244-2-2-2-222-4000000000000000-400222200000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-24-2-242222-2004-2-2-2-4-2-2-4-4222222-400000000000000040022-2-200000000000000000000000000000000000000000
χ594444-2444-4-4-24-244-24444-200-4-2-2-22-4-4-2-2-2-2-2-2-4-42000000000000000200222200000000000000000000000000000000000000000
χ604444-24-4-4-4-4-24-244-2-4-4-4-4-2004-2-2-2244222222-4-42000000000000000-20022-2-200000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-200004-2-2-2-21111-2-2-2-2-2111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-20000-42222-1-1-1-122-2221111-1-1-1-10000000000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111222-2-211112220000000003-33-300200-1-1-1-13-33-30000000000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111222-2-21111222000000000-33-3300200-1-1-1-1-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-22222144-4111-22222-1-1-1-1-2-2-20000-42222-1-1-1-1-2-22-2-211-1-111110000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-4111-22222-1-1-1-1-2-2-200004-2-2-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-2222210041112-2-222-1-1-1-12220000000003-33-300-200-1-111-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-2222210041112-2-222-1-1-1-1222000000000-33-3300-200-1-1113-33-30000000000000000000000000000000000000
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χ7844-4-4-2-2004-4-222-222−23−23232310001-1-1-223−230033−3−32-2200000−2i32i300i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000000
χ7944-4-4-2-2004-4-222-222−23−23232310001-1-1-223−230033−3−32-22000002i3−2i300−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000000
χ8044-4-4-2-200-44-222-2222323−23−2314i−4i01-1-1223−2300−3−333-22-20000000−2i32i3i3i3−i3−i3−2i2i0−2i2i1-1−33ii−i−i0000000000000000000000000000000000000
χ8144-4-4-2-200-44-222-2222323−23−231−4i4i01-1-1223−2300−3−333-22-200000002i3−2i3−i3−i3i3i32i−2i02i−2i1-1−33−i−iii0000000000000000000000000000000000000
χ8244-4-4-2-200-44-222-222−23−23232314i−4i01-1-12−23230033−3−3-22-200000002i3−2i3−i3−i3i3i3−2i2i0−2i2i1-13−3ii−i−i0000000000000000000000000000000000000
χ8344-4-4-2-200-44-222-222−23−2323231−4i4i01-1-12−23230033−3−3-22-20000000−2i32i3i3i3−i3−i32i−2i02i−2i1-13−3−i−iii0000000000000000000000000000000000000
χ844-44-4440000-44-4-4-4400004000-4-44000000000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ854-44-4440000-44-4-4-4400004000-4-440000000000002i2−2i2−2i22i20000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ864-44-44-20000-4-2-4224−2i32i32i3−2i3-200022-200000−2i32i32i3−2i3000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i2−666−6000000000000000000000
χ874-44-44-20000-4-2-4224−2i32i32i3−2i3-200022-200000−2i32i32i3−2i30002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i26−6−66000000000000000000000
χ884-44-44-20000-4-2-42242i3−2i3−2i32i3-200022-2000002i3−2i3−2i32i3000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i26−6−66000000000000000000000
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χ904-4-444-24i−4i00-4242-2-4−2i2i−2i2i-20002-220004i−4i−2i2i−2i2i00022−2222−22000000000000000000000000−2i22i20000−22−22i2−i2i2−i2000000000000000000000
χ914-4-444-24i−4i00-4242-2-4−2i2i−2i2i-20002-220004i−4i−2i2i−2i2i000−2222−22220000000000000000000000002i2−2i200002−22−2−i2i2−i2i2000000000000000000000
χ924-4-444-2−4i4i00-4242-2-42i−2i2i−2i-20002-22000−4i4i2i−2i2i−2i00022−2222−220000000000000000000000002i2−2i20000−22−22−i2i2−i2i2000000000000000000000
χ934-4-444-2−4i4i00-4242-2-42i−2i2i−2i-20002-22000−4i4i2i−2i2i−2i000−2222−2222000000000000000000000000−2i22i200002−22−2i2−i2i2−i2000000000000000000000
χ944-4-44-244i−4i002-4-2-4424i−4i4i−4i-20002-22000−2i2i−2i2i−2i2i000000000000000000000000000000000−2i22i222−220000000000000000000i2−i2−22000000
χ954-4-44-244i−4i002-4-2-4424i−4i4i−4i-20002-22000−2i2i−2i2i−2i2i0000000000000000000000000000000002i2−2i2−22220000000000000000000−i2i22−2000000
χ964-4-44-24−4i4i002-4-2-442−4i4i−4i4i-20002-220002i−2i2i−2i2i−2i000000000000000000000000000000000−2i22i2−22220000000000000000000i2−i22−2000000
χ974-4-44-24−4i4i002-4-2-442−4i4i−4i4i-20002-220002i−2i2i−2i2i−2i0000000000000000000000000000000002i2−2i222−220000000000000000000−i2i2−22000000
χ988-88-8-480000484-8-8-40000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-400004-4444-4−4i34i34i3−4i32000-2-22000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-400004-4444-44i3−4i3−4i34i32000-2-2200000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48i−8i0044-44-44−4i4i−4i4i2000-22-2000−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4−8i8i0044-44-444i−4i4i−4i2000-22-20004i−4i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000

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