Finite Group Databasebeta

← Group #11889762

Character table — Group #11889762

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order122233446666663446668812121212242424242266662661212121212122424242424242224466881212242424246661212444668121212121224244412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-1-1-111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-11-1111-1-1-1-1-1-1-1-111111-111-1-111-1-11111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-11111-1-1-1-111111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1111-11-1-11-111-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-111111-1-11111-1-1-111-11-111-11-1-111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-111-1-11111-1-1-1-1-1111111-1-1
χ9111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11
χ10111111111111111-1-11111111111111111111-1-1-1-1-1-1-111111111-1-1-11-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1
χ11111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-111-1
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1111-1-11
χ13111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-11111111-1-111-1-1-1-1111-1-1-1-1111-11-1-1-1-1-1-1111-11-1
χ14111111111111111-1-1111-1-11111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-111-11-1-1-1-1-111-1-1-1-1111-1-1-11-1111-1-1-11111-1-1-11-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11-111111-1-11111111-1-11-11-1-1-1111-1-1-1-1-1-111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111-1-1-11-111111111-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222220000000-2-2000000002-2-22200-2-2000000000000000-20000002-20000
χ18222222-2-222222220022200-2-2-2-200002222220000000-2-200000000-2-22-2-200-2-20000000000000002000000-220000
χ19222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-20000000022-2220022000000000000000-2000000-220000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-20000000-2-200000000-222-2-2002200000000000000020000002-20000
χ2122222-1222-12-1-12-122-1-1-122-122-1-1-1-1-122-1-1-1-12-1-1-1-122-1-122-1-1-1-1220200022-1-1-1-1-1-12-1-1-1-1200-1-100-1-10000000000
χ2222222-1222-12-1-12-122-1-1-122-122-1-1-1-1-1-2-211112-1-1-1-122-1-122-1-1-1-1-2-20-2000-2-21111112-1-1-1-1-2001100110000000000
χ2322222-1222-12-1-12-122-1-1-1-2-2-122-1111122-1-1-1-1-211-1-122-1-1-2-21111-2-202000-2-2-1-11111-211-1-12001100-1-10000000000
χ2422222-1222-12-1-12-122-1-1-1-2-2-122-11111-2-21111-211-1-122-1-1-2-21111220-20002211-1-1-1-1-211-1-1-200-1-100110000000000
χ2522222-1222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-122-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-20200022-1-1-1-1-1-1-21111-2001100110000000000
χ2622222-1222-12-1-12-1-2-2-1-1-122-122-1-1-1-1-1-2-21111-21111-2-2-1-122-1-1-1-1220-2000-2-2111111-21111200-1-100-1-10000000000
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1111122-1-1-1-12-1-111-2-2-1-1-2-211112202000-2-2-1-111112-1-111-200-1-100110000000000
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-122-11111-2-211112-1-111-2-2-1-1-2-21111-2-20-20002211-1-1-1-12-1-1112001100-1-10000000000
χ292222-1222-12-122-1-122-1-1-1222-1-12222200000022222-1-1-1-1-1-1-1-1-1-100202-1-100000000-1-1-1-1-1022002-100-1-1-1-100-1000
χ302222-1222-12-122-1-122-1-1-1222-1-12222200000022222-1-1-1-1-1-1-1-1-1-100-20-21100000000-1-1-1-1-10-2-200-21001111001000
χ312222-1222-12-122-1-122-1-1-1-2-22-1-12-2-2-2-2000000-2-2-222-1-1-1-111111100202-1-100000000111-1-102-200-2-100-1-111001000
χ322222-1222-12-122-1-122-1-1-1-2-22-1-12-2-2-2-2000000-2-2-222-1-1-1-111111100-20-21100000000111-1-10-2200210011-1-100-1000
χ332222-1222-12-122-1-1-2-2-1-1-1222-1-122222000000-2-2-2-2-211-1-1-1-1-1-1-1-100202-1-100000000111110-2-2002-10011-1-1001000
χ342222-1222-12-122-1-1-2-2-1-1-1222-1-122222000000-2-2-2-2-211-1-1-1-1-1-1-1-100-20-211000000001111102200-2100-1-11100-1000
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000222-2-211-1-111111100202-1-100000000-1-1-1110-2200-2-100111100-1000
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-1-12-2-2-2-2000000222-2-211-1-111111100-20-21100000000-1-1-11102-2002100-1-1-1-1001000
χ372-2-22222-2-2-222-2-222i−2i-22-2002-22-200000000000002i−2i2i−2i2-20000002-2000002i−2i002i2i−2i−2i0002i−2i0002-200000000000000
χ382-2-22222-2-2-222-2-222i−2i-22-2002-22-200000000000002i−2i2i−2i2-2000000-2200000−2i2i00−2i−2i2i2i0002i−2i000-2200000000000000
χ392-2-22222-2-2-222-2-22−2i2i-22-2002-22-20000000000000−2i2i−2i2i2-20000002-200000−2i2i00−2i−2i2i2i000−2i2i0002-200000000000000
χ402-2-22222-2-2-222-2-22−2i2i-22-2002-22-20000000000000−2i2i−2i2i2-2000000-22000002i−2i002i2i−2i−2i000−2i2i000-2200000000000000
χ412-2-222-12-2-212-11-2-12i−2i1-1100-1-22133−3−300−i3−i3i3i30−i3i3−ii2i−2i-110033−3−32-2000002i−2i−i3i3−i−iii0−i3i3−ii000-11003−30000000000
χ422-2-222-12-2-212-11-2-12i−2i1-1100-1-22133−3−300i3i3−i3−i30−i3i3−ii2i−2i-110033−3−3-2200000−2i2ii3−i3ii−i−i0−i3i3−ii0001-100−330000000000
χ432-2-222-12-2-212-11-2-12i−2i1-1100-1-221−3−33300−i3−i3i3i30i3−i3−ii2i−2i-1100−3−333-2200000−2i2i−i3i3ii−i−i0i3−i3−ii0001-1003−30000000000
χ442-2-222-12-2-212-11-2-12i−2i1-1100-1-221−3−33300i3i3−i3−i30i3−i3−ii2i−2i-1100−3−3332-2000002i−2ii3−i3−i−iii0i3−i3−ii000-1100−330000000000
χ452-2-222-12-2-212-11-2-1−2i2i1-1100-1-22133−3−300−i3−i3i3i30i3−i3i−i−2i2i-110033−3−3-22000002i−2i−i3i3−i−iii0i3−i3i−i0001-100−330000000000
χ462-2-222-12-2-212-11-2-1−2i2i1-1100-1-22133−3−300i3i3−i3−i30i3−i3i−i−2i2i-110033−3−32-200000−2i2ii3−i3ii−i−i0i3−i3i−i000-11003−30000000000
χ472-2-222-12-2-212-11-2-1−2i2i1-1100-1-221−3−33300−i3−i3i3i30−i3i3i−i−2i2i-1100−3−3332-200000−2i2i−i3i3ii−i−i0−i3i3i−i000-1100−330000000000
χ482-2-222-12-2-212-11-2-1−2i2i1-1100-1-221−3−33300i3i3−i3−i30−i3i3i−i−2i2i-1100−3−333-22000002i−2ii3−i3−i−iii0−i3i3i−i0001-1003−30000000000
χ4944444-2-4-44-24-2-24-200-2-2-2002-4-42000044-2-2-2-2000000022000000000-400000220000000000000000000000000000
χ5044444-2-4-44-24-2-24-200-2-2-2002-4-420000-4-42222000000022000000000400000-2-20000000000000000000000000000
χ514444-24-4-4-24-244-2-200-2-2-200-422-400000000000000000220000000040-4-2-200000000000000000002000000000000
χ524444-24-4-4-24-244-2-200-2-2-200-422-4000000000000000002200000000-404220000000000000000000-2000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-21111000000000000000-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000-422-2-2-2-21122-1-1-1-10000000000000002-1-1110000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000-422222211-2-211110000000000000002-1-1-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000004-2-222221122-1-1-1-1000000000000000-211-1-10000000000000000000
χ5744-4-4440044-4-4-4-44004-4-400000000004-44-44-4000000000000000000000000000000000000000000000000000000
χ5844-4-4440044-4-4-4-44004-4-40000000000-44-44-44000000000000000000000000000000000000000000000000000000
χ5944-4-44-2004-2-422-4-200-2220000006−66−64-4-22-22000000000006−66−6000000000006−66−6000000000000000000000000
χ6044-4-44-2004-2-422-4-200-2220000006−66−6-442-22-2000000000006−66−600000000000−66−66000000000000000000000000
χ6144-4-44-2004-2-422-4-200-222000000−66−664-4-22-2200000000000−66−6600000000000−66−66000000000000000000000000
χ6244-4-44-2004-2-422-4-200-222000000−66−66-442-22-200000000000−66−66000000000006−66−6000000000000000000000000
χ634-44-44400-4-4-4-444400-4-4422−22000022−22−222200000000000000022−2222−22−2222000000000000000000000000000000000000000
χ644-44-44400-4-4-4-444400-4-44−22220000−222222−22000000000000000−2222−222222−22000000000000000000000000000000000000000
χ654-44-44-200-42-42-24-20022-222−220000−222−200−2i32i32i3−2i300000000022−22−222−200000000000−i6i6i6−i6000000000000000000000000
χ664-44-44-200-42-42-24-20022-222−220000−222−2002i3−2i3−2i32i300000000022−22−222−200000000000i6−i6−i6i6000000000000000000000000
χ674-44-44-200-42-42-24-20022-2−222200002−2−2200−2i32i32i3−2i3000000000−22222−2−2200000000000i6−i6−i6i6000000000000000000000000
χ684-44-44-200-42-42-24-20022-2−222200002−2−22002i3−2i3−2i32i3000000000−22222−2−2200000000000−i6i6i6−i6000000000000000000000000
χ694-44-4-24002-42-44-2-20022-222−22000022−22−2222000000000000000−22−222−200000−2i32i3000000000000000000000000i6−i6000000
χ704-44-4-24002-42-44-2-20022-222−22000022−22−2222000000000000000−22−222−2000002i3−2i3000000000000000000000000−i6i6000000
χ714-44-4-24002-42-44-2-20022-2−22220000−222222−220000000000000002−22−2−2200000−2i32i3000000000000000000000000−i6i6000000
χ724-44-4-24002-42-44-2-20022-2−22220000−222222−220000000000000002−22−2−22000002i3−2i3000000000000000000000000i6−i6000000
χ734-4-4444-44-4-444-4-4400-44-400-44-4400000000000000000-44000000000000000000000000000000000000000000000
χ744-4-444-2-44-424-22-4-2002-220024-4-2000000−2i3−2i32i32i300000002-20000000000000002i3−2i30000000000000000000000000000
χ754-4-444-2-44-424-22-4-2002-220024-4-20000002i32i3−2i3−2i300000002-2000000000000000−2i32i30000000000000000000000000000
χ764-4-44-244-42-4-24-42-24i−4i2-220042-2-400000000000004i−4i−2i2i-22000000000000000000000000−2i2i0000000000000000000
χ774-4-44-244-42-4-24-42-2−4i4i2-220042-2-40000000000000−4i4i2i−2i-220000000000000000000000002i−2i0000000000000000000
χ784-4-44-24-442-4-24-42-2002-2200-4-224000000000000000002-20000000000000000000000000000000000023−2300000000
χ794-4-44-24-442-4-24-42-2002-2200-4-224000000000000000002-200000000000000000000000000000000000−232300000000
χ804-4-44-2-24-422-2-22214i−4i-11-100-22-222323−23−230000000−2i32i3−2i2i−2i2i1-100−3−3330000000000000000i3−i3i−i0000000000000000000
χ814-4-44-2-24-422-2-22214i−4i-11-100-22-22−23−23232300000002i3−2i3−2i2i−2i2i1-10033−3−30000000000000000−i3i3i−i0000000000000000000
χ824-4-44-2-24-422-2-2221−4i4i-11-100-22-222323−23−2300000002i3−2i32i−2i2i−2i1-100−3−3330000000000000000−i3i3−ii0000000000000000000
χ834-4-44-2-24-422-2-2221−4i4i-11-100-22-22−23−2323230000000−2i32i32i−2i2i−2i1-10033−3−30000000000000000i3−i3−ii0000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4800-484-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-400-4-444442002-2-200000026−2626−2600000000000000000−66−66000000000000000000000000000000000000000
χ8788-8-8-4-400-4-444442002-2-2000000−2626−2626000000000000000006−66−6000000000000000000000000000000000000000
χ888-88-8-4-4004444-4-4200-2-2242−420000−222222−22000000000000000−22222−2−22000000000000000000000000000000000000000
χ898-88-8-4-4004444-4-4200-2-22−4242000022−22−222200000000000000022−22−222−2000000000000000000000000000000000000000
χ908-8-88-4-4-8844-4-444200-22-2004-44-400000000000000000-22000000000000000000000000000000000000000000000

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