Finite Group Databasebeta

← Group #11887637

Character table — Group #11887637

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666344666881212121224242424224488881212121241212121212121212242424242424444466881212242424241212121212224441212121212121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-11-11111-1-1-1-111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111111111111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-111-1-111-11111111-1-1-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-11111-111-1-1-1-1-1-11111-1-111-1-1-111-11-1
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11111-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-11111-111-1-1111-1-1-1-1-1-1-111111-1-11-11
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-111
χ11111111111111111-1-11111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11-1-111111-1-11-1-1-1-111-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-111-11-1-111-1-1-1-1-1111-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-11-1-111-1-1-1-11-111-1-11111-111-1-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-111-11111-1-1111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-200-22200-2-200000000022000-200000000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000200-2220022000000000-2-2000-200000000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222000022220000000-2-2000000-2002-2-200-2-2000000000-2-2000200000000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-20000002002-2-2002200000000022000200000000-200000
χ2122222-122-122-1-12-122-1-1-1222-12-1222222000000000022222-1-1-1-1-1-1-1-1-1-10002-1-122000000-1-1-1-1-100202-1-1-10000-1-1000-100
χ2222222-122-122-1-12-122-1-1-1222-12-12222-2-2000000000022222-1-1-1-1-1-1-1-1-1-1000-211-2-2000000-1-1-1-1-100-20-2111000011000100
χ2322222-122-122-1-12-122-1-1-1-2-22-12-1-2-2-2-2220000000000-222-2-2-1-1-1-11111110002-1-1-2-20000001-1-11100-202-1-1-1000011000100
χ2422222-122-122-1-12-122-1-1-1-2-22-12-1-2-2-2-2-2-20000000000-222-2-2-1-1-1-1111111000-211220000001-1-1110020-21110000-1-1000-100
χ2522222-122-122-1-12-1-2-2-1-1-1222-12-12222220000000000-2-2-2-2-211-1-1-1-1-1-1-1-10002-1-1220000001111100-20-2-1110000-1-1000100
χ2622222-122-122-1-12-1-2-2-1-1-1222-12-12222-2-20000000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-211-2-200000011111002021-1-1000011000-100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-22200000000002-2-22211-1-11111110002-1-1-2-2000000-111-1-10020-2-111000011000-100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-22-12-1-2-2-2-2-2-200000000002-2-22211-1-1111111000-21122000000-111-1-100-2021-1-10000-1-1000100
χ292222-12222-1-122-1-122-1-1-122-12-12-1-1-1-100222222-1-1-1-12-1-1-1-122-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-100020000-1-1-1-100000000
χ302222-12222-1-122-1-122-1-1-122-12-12-1-1-1-100-2-2-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-2000001111112-1-1-1-1000-20000111100000000
χ312222-12222-1-122-1-122-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-211112-2-200000-1-11111-2-1-11100020000-1-11100000000
χ322222-12222-1-122-1-122-1-1-1-2-2-12-12111100-2-222221111-2-1-11122-1-1-2-21111-2220000011-1-1-1-1-2-1-111000-2000011-1-100000000
χ332222-12222-1-122-1-1-2-2-1-1-122-12-12-1-1-1-100222222-1-1-1-1-21111-2-2-1-122-1-1-1-12-2-200000-1-1-1-1-1-1-21111000-20000111100000000
χ342222-12222-1-122-1-1-2-2-1-1-122-12-12-1-1-1-100-2-2-2-2-2-21111-21111-2-2-1-122-1-1-1-1-22200000111111-2111100020000-1-1-1-100000000
χ352222-12222-1-122-1-1-2-2-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-2111122200000-1-11111211-1-1000-2000011-1-100000000
χ362222-12222-1-122-1-1-2-2-1-1-1-2-2-12-12111100-2-222221111211-1-1-2-2-1-1-2-21111-2-2-20000011-1-1-1-1211-1-100020000-1-11100000000
χ3722-2-2220022-2-2-2-22002-2-22−2000022−2−22-22-222−2−222-2-20000000002−222−2−200002-22−20022−2−2000002-200000000002−202−2000
χ3822-2-2220022-2-2-2-22002-2-22−2000022−2−22-2-22−2−222-2-2220000000002−222−2−200002-22−200−2−22200000-2200000000002−20−22000
χ3922-2-2220022-2-2-2-22002-2-22−2000022−2−2-222-222−2−222-2-20000000002−222−2−20000-22−220022−2−200000-220000000000−220−22000
χ4022-2-2220022-2-2-2-22002-2-22−2000022−2−2-22-22−2−222-2-2220000000002−222−2−20000-22−2200−2−222000002-20000000000−2202−2000
χ4122-2-2220022-2-2-2-22002-2-2−220000−2−2222-22-2−2−22222-2-2000000000−22−2−22200002-2−2200−2−222000002-20000000000−220−22000
χ4222-2-2220022-2-2-2-22002-2-2−220000−2−2222-2-2222−2−2-2-222000000000−22−2−22200002-2−220022−2−200000-220000000000−2202−2000
χ4322-2-2220022-2-2-2-22002-2-2−220000−2−222-222-2−2−22222-2-2000000000−22−2−2220000-222−200−2−22200000-2200000000002−202−2000
χ4422-2-2220022-2-2-2-22002-2-2−220000−2−222-22-2222−2−2-2-222000000000−22−2−2220000-222−20022−2−2000002-200000000002−20−22000
χ452-2-22222-2-2-22-22-222-2-2-220022-2-2000000002i−2i2i−2i000002-2002-2-2200000002i−2i00000002i−2i2i−2i02-20000000000002i−2i00000000
χ462-2-22222-2-2-22-22-222-2-2-220022-2-200000000−2i2i−2i2i000002-2002-2-220000000−2i2i0000000−2i2i−2i2i02-2000000000000−2i2i00000000
χ472-2-22222-2-2-22-22-22-22-2-220022-2-2000000002i−2i2i−2i00000-2200-22-220000000−2i2i00000002i−2i2i−2i0-22000000000000−2i2i00000000
χ482-2-22222-2-2-22-22-22-22-2-220022-2-200000000−2i2i−2i2i00000-2200-22-2200000002i−2i0000000−2i2i−2i2i0-220000000000002i−2i00000000
χ492-2-22-122-2-21-1-221-12-211-100-121-2−i3i3−i3i300002i−2i2i−2i3−33−30-11−i3i32-21-100−i3i3−i3i302i−2i000003−3−ii−ii0-11−i3i3000000003−3−ii00000000
χ502-2-22-122-2-21-1-221-12-211-100-121-2−i3i3−i3i30000−2i2i−2i2i−33−330-11−i3i32-21-100−i3i3−i3i30−2i2i00000−33i−ii−i0-11−i3i300000000−33i−i00000000
χ512-2-22-122-2-21-1-221-12-211-100-121-2i3−i3i3−i300002i−2i2i−2i−33−330-11i3−i32-21-100i3−i3i3−i302i−2i00000−33−ii−ii0-11i3−i300000000−33−ii00000000
χ522-2-22-122-2-21-1-221-12-211-100-121-2i3−i3i3−i30000−2i2i−2i2i3−33−30-11i3−i32-21-100i3−i3i3−i30−2i2i000003−3i−ii−i0-11i3−i3000000003−3i−i00000000
χ532-2-22-122-2-21-1-221-1-2211-100-121-2−i3i3−i3i300002i−2i2i−2i3−33−301-1i3−i3-221-100−i3i3−i3i30−2i2i000003−3−ii−ii01-1i3−i300000000−33i−i00000000
χ542-2-22-122-2-21-1-221-1-2211-100-121-2−i3i3−i3i30000−2i2i−2i2i−33−3301-1i3−i3-221-100−i3i3−i3i302i−2i00000−33i−ii−i01-1i3−i3000000003−3−ii00000000
χ552-2-22-122-2-21-1-221-1-2211-100-121-2i3−i3i3−i300002i−2i2i−2i−33−3301-1−i3i3-221-100i3−i3i3−i30−2i2i00000−33−ii−ii01-1−i3i3000000003−3i−i00000000
χ562-2-22-122-2-21-1-221-1-2211-100-121-2i3−i3i3−i30000−2i2i−2i2i3−33−301-1−i3i3-221-100i3−i3i3−i302i−2i000003−3i−ii−i01-1−i3i300000000−33−ii00000000
χ5744444-2-4-4-244-2-24-200-2-2-200-42-420000440000000000000000022000000000-4-2-2000000000000000000200000000000000
χ5844444-2-4-4-244-2-24-200-2-2-200-42-420000-4-40000000000000000022000000000422000000000000000000-200000000000000
χ594444-24-4-44-2-244-2-200-2-2-2002-42-4000000440000-2-2-2-2000000022000000-400000002200000000000000000000000000000
χ604444-24-4-44-2-244-2-200-2-2-2002-42-4000000-4-40000222200000002200000040000000-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-100000000000000211-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-44-200-24-422-4-200-22222−2200002222−22−224-40000000000000000000−22−2−2220000-2222−2200000000000000000000000−22000000
χ6644-4-44-200-24-422-4-200-22222−2200002222−22−22-440000000000000000000−22−2−22200002-2−2222000000000000000000000002−2000000
χ6744-4-44-200-24-422-4-200-222−22220000−22−2222224-400000000000000000002−222−2−20000-22−2222000000000000000000000002−2000000
χ6844-4-44-200-24-422-4-200-222−22220000−22−222222-4400000000000000000002−222−2−200002-222−2200000000000000000000000−22000000
χ6944-4-4-24004-22-4-42-200-22222−220000−2−222004-42222−22−22-2-22200000000022−22−2−2220000000000−2−2220000000000000000000000000
χ7044-4-4-24004-22-4-42-200-22222−220000−2−22200-44−22−22222222-2-200000000022−22−2−222000000000022−2−20000000000000000000000000
χ7144-4-4-24004-22-4-42-200-222−2222000022−2−2004-4−22−222222-2-222000000000−222222−2−2000000000022−2−20000000000000000000000000
χ7244-4-4-24004-22-4-42-200-222−2222000022−2−200-442222−22−2222-2-2000000000−222222−2−20000000000−2−2220000000000000000000000000
χ734-44-44400-4-4-44-44400-44-400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ744-44-44400-4-4-44-44400-44-4000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ754-44-4-2400-4224-4-2-2002-22000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ764-44-4-2400-4224-4-2-2002-22000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ774-44-4-2400-4224-4-2-2002-22000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ784-44-4-2400-4224-4-2-2002-22000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
χ794-4-4444-44-4-44-44-4400-4-4400-4-444000000000000000000000004-4000000000000000000000000000000000000000000000
χ804-4-444-24-42-442-2-4-24-422-2004-2-42000000000000000004-400-222-2000000000000000000000-220000000000000000000000
χ814-4-444-24-42-442-2-4-2-4422-2004-2-4200000000000000000-44002-22-20000000000000000000002-20000000000000000000000
χ824-4-444-2-442-442-2-4-20022-200-424-200000000000000000000000-220000000000000000000000000000000−2i32i3000000000000
χ834-4-444-2-442-442-2-4-20022-200-424-200000000000000000000000-2200000000000000000000000000000002i3−2i3000000000000
χ844-4-44-24-44-42-2-442-20022-2002-4-2400000000000023−2323−230000000-2200000000000000−232300000000000000000000000000000
χ854-4-44-24-44-42-2-442-20022-2002-4-24000000000000−2323−23230000000-220000000000000023−2300000000000000000000000000000
χ864-4-44-2-24-422-22-2214-4-1-1100-2-222−2i32i3−2i32i30000000000000-22−2i32i3-22-1100i3−i3i3−i30000000000000001-1i3−i300000000000000000000
χ874-4-44-2-24-422-22-2214-4-1-1100-2-2222i3−2i32i3−2i30000000000000-222i3−2i3-22-1100−i3i3−i3i30000000000000001-1−i3i300000000000000000000
χ884-4-44-2-24-422-22-221-44-1-1100-2-222−2i32i3−2i32i300000000000002-22i3−2i32-2-1100i3−i3i3−i3000000000000000-11−i3i300000000000000000000
χ894-4-44-2-24-422-22-221-44-1-1100-2-2222i3−2i32i3−2i300000000000002-2−2i32i32-2-1100−i3i3−i3i3000000000000000-11i3−i300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-400-4-444442002-2-242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ9288-8-8-4-400-4-444442002-2-2−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ938-88-88-4004-8-8-448-4004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400444-44-4200-22-20000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ958-88-8-4-400444-44-4200-22-2000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ968-8-88-4-4-8844-44-44200-2-220044-4-4000000000000000000000002-2000000000000000000000000000000000000000000000

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