Finite Group Databasebeta

← Group #11883935

Character table — Group #11883935

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666634466612121212266812121212121224242424242424242224446688881212121266612122222466661212122424242446448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111111-1-1-1-11111111-1-11-1-11111-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-111-1-1-1-1-11111-1-111111-1-1-111-1-1-1-1111-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-1-111-1-111-1-1-1-1-111-1-1-1-1111-1-111111-1-1-1-11-11
χ6111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-11-111-1-1-1-1-1111111-11-1
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111111-11-1-111111-1-1-1-11-1-11-1
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-111-1-111-1-1-111-1-1-1-1-111-111-11
χ9111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-111-11-111-1-11-1-1-1-1-1-1111-1-1
χ10111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1111-1-111-1-111111-1-1-1-1-1-1111-1-1-111-1-111-1-1-111
χ11111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1111-1-1-1-111-1-1-1111-1-111-1-1-11-111
χ12111111111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111-11-1-111-11111111-11-1-1
χ13111111111111111-1-11111111-1-1-11-1-1-1-1111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-111-1
χ14111111111111111-1-11111111-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-111-1-11
χ15111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-11
χ16111111111111111-1-11111111-1-1-11-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-222000022-2-200000-2-20000000-200000020000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-22-2220000-2-2-2-2000002200000002000000-20000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-22-22-2-20000222200000220000000-2000000-20000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-222-2-20000-2-22200000-2-20000000200000020000
χ2122222-122-1-122-12-122-1-1-12-12-12-1-1222-1-1-1-122-1-1-1-1-1-1222002-1-1220000-1-12-1-1-1-100200-1-1-1-1000-1-10000000
χ2222222-122-1-122-12-122-1-1-12-12-12-1-1222-1-1-1-122-1-1-1-1-1-1-2-2-200-211-2-20000112-1-1-1-100-2001111000110000000
χ2322222-122-1-122-12-122-1-1-12-12-1-211-222-1-1-1-1-2-211111122-200-21122000011-211-1-100-200-1-111000-1-10000000
χ2422222-122-1-122-12-122-1-1-12-12-1-211-222-1-1-1-1-2-2111111-2-22002-1-1-2-20000-1-1-211-1-10020011-1-1000110000000
χ2522222-122-1-122-12-1-2-2-1-1-12-12-12-1-1-2-2-211-1-1-2-2111111222002-1-1-2-20000-1-12-1-11100-200-1-111000110000000
χ2622222-122-1-122-12-1-2-2-1-1-12-12-12-1-1-2-2-211-1-1-2-2111111-2-2-200-211220000112-1-1110020011-1-1000-1-10000000
χ2722222-122-1-122-12-1-2-2-1-1-12-12-1-2112-2-211-1-122-1-1-1-1-1-122-200-211-2-2000011-2111100200-1-1-1-1000110000000
χ2822222-122-1-122-12-1-2-2-1-1-12-12-1-2112-2-211-1-122-1-1-1-1-1-1-2-22002-1-1220000-1-1-2111100-2001111000-1-10000000
χ292222-122222-1-12-1-122-1-1-1-12-122222-1-122-1-1-1-122-1-1-1-1000220000022-1-100-1-1-1-1-1000220000-1-1-100-1-10-1000
χ302222-122222-1-12-1-122-1-1-1-12-122222-1-122-1-1-1-122-1-1-1-1000-2-200000-2-21100-1-1-1-1-1000-2-20000111001101000
χ312222-122222-1-12-1-122-1-1-1-12-12-2-2-2-2-1-122-1-111-2-211110002200000-2-2-1-100111-1-1000-220000-1-1-1001101000
χ322222-122222-1-12-1-122-1-1-1-12-12-2-2-2-2-1-122-1-111-2-21111000-2-200000221100111-1-10002-2000011100-1-10-1000
χ332222-122222-1-12-1-1-2-2-1-1-1-12-12222-211-2-2-1-111-2-211110002200000-2-2-1-100-1-1-1110002-20000-11100110-1000
χ342222-122222-1-12-1-1-2-2-1-1-1-12-12222-211-2-2-1-111-2-21111000-2-200000221100-1-1-111000-2200001-1-100-1-101000
χ352222-122222-1-12-1-1-2-2-1-1-1-12-12-2-2-2211-2-2-1-1-1-122-1-1-1-1000220000022-1-10011111000-2-20000-11100-1-101000
χ362222-122222-1-12-1-1-2-2-1-1-1-12-12-2-2-2211-2-2-1-1-1-122-1-1-1-1000-2-200000-2-21100111110002200001-1-100110-1000
χ372-2-22222-2-2-22-22-222-2-2-22-2-22200002-22-2-22000000002-20000002-20000000002-2000002-2000002-20000000
χ382-2-22222-2-2-22-22-222-2-2-22-2-22200002-22-2-2200000000-22000000-220000000002-200000-2200000-220000000
χ392-2-22222-2-2-22-22-22-22-2-22-2-2220000-22-22-22000000002-2000000-22000000000-22000002-200000-220000000
χ402-2-22222-2-2-22-22-22-22-2-22-2-2220000-22-22-2200000000-220000002-2000000000-2200000-22000002-20000000
χ412-2-222-12-2112-2-1-2-12-211-1-212-10−i3i302-2-111-100−i3i3−i3−i3i3i32-20000−i3i32-20000−i3i30−i3i3-1100000-11−i3i3000-110000000
χ422-2-222-12-2112-2-1-2-12-211-1-212-10−i3i302-2-111-100−i3i3−i3−i3i3i3-220000i3−i3-220000i3−i30−i3i3-11000001-1i3−i30001-10000000
χ432-2-222-12-2112-2-1-2-12-211-1-212-10i3−i302-2-111-100i3−i3i3i3−i3−i32-20000i3−i32-20000i3−i30i3−i3-1100000-11i3−i3000-110000000
χ442-2-222-12-2112-2-1-2-12-211-1-212-10i3−i302-2-111-100i3−i3i3i3−i3−i3-220000−i3i3-220000−i3i30i3−i3-11000001-1−i3i30001-10000000
χ452-2-222-12-2112-2-1-2-1-2211-1-212-10−i3i30-221-11-100i3−i3i3i3−i3−i32-20000−i3i3-220000−i3i30−i3i31-100000-11i3−i30001-10000000
χ462-2-222-12-2112-2-1-2-1-2211-1-212-10−i3i30-221-11-100i3−i3i3i3−i3−i3-220000i3−i32-20000i3−i30−i3i31-1000001-1−i3i3000-110000000
χ472-2-222-12-2112-2-1-2-1-2211-1-212-10i3−i30-221-11-100−i3i3−i3−i3i3i32-20000i3−i3-220000i3−i30i3−i31-100000-11−i3i30001-10000000
χ482-2-222-12-2112-2-1-2-1-2211-1-212-10i3−i30-221-11-100−i3i3−i3−i3i3i3-220000−i3i32-20000−i3i30i3−i31-1000001-1i3−i3000-110000000
χ4944444-2-4-4-2-244-24-200-2-2-2-42-4200000000220000000000400-4-2-20000002200000000000000000000000000
χ5044444-2-4-4-2-244-24-200-2-2-2-42-4200000000220000000000-400422000000-2-200000000000000000000000000
χ514444-24-4-444-2-24-2-200-2-2-22-42-40000000022000000000004-40000000-2-20000000000000000200000000000
χ524444-24-4-444-2-24-2-200-2-2-22-42-4000000002200000000000-440000000220000000000000000-200000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-24-2-24-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-422-4-2-2-2-2112222-1-1-1-100000000000000002-1-111000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-2-2-42222112222-1-1-1-10000000000000000-211-1-1000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4224222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-444004-4-44-4-44004-4-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000
χ5844-4-444004-4-44-4-44004-4-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000
χ5944-4-4-24004-42-2-42-200-222000000000000006−6006−66−60000000000−2i22i2−2i32i3000000000000000000000i2−i200000
χ6044-4-4-24004-42-2-42-200-222000000000000006−6006−66−600000000002i2−2i22i3−2i3000000000000000000000−i2i200000
χ6144-4-4-24004-42-2-42-200-22200000000000000−6600−66−660000000000−2i22i22i3−2i3000000000000000000000i2−i200000
χ6244-4-4-24004-42-2-42-200-22200000000000000−6600−66−6600000000002i2−2i2−2i32i3000000000000000000000−i2i200000
χ634-44-44400-44-4-4-44400-44-400000000000000000000000000000000000000000004-40000000000000000000
χ644-44-44400-44-4-4-44400-44-40000000000000000000000000000000000000000000-440000000000000000000
χ654-4-4444-44-4-44-44-4400-4-4444-4-4000000004-400000000000000000000000000000000000000000000000000
χ664-4-444-2-44224-4-2-4-20022-24-2-4200000000-2200000000000000−2i32i30000002i3−2i300000000000000000000000000
χ674-4-444-2-44224-4-2-4-20022-24-2-4200000000-22000000000000002i3−2i3000000−2i32i300000000000000000000000000
χ684-4-44-244-4-4-4-2242-24-422-22-4-240000-224-42-2000000000000000000000000000-22000000000000000000000
χ694-4-44-244-4-4-4-2242-2-4422-22-4-2400002-2-442-20000000000000000000000000002-2000000000000000000000
χ704-4-44-24-44-4-4-2242-20022-2-242-400000000-2200000000000000000000000000000000000000023−23000000000
χ714-4-44-24-44-4-4-2242-20022-2-242-400000000-22000000000000000000000000000000000000000−2323000000000
χ724-4-44-2-24-422-22-2214-4-1-1122-2-20−2i32i30-22-22-1100−2i32i3i3i3−i3−i300000000000000000i3−i31-1000000000000000000000
χ734-4-44-2-24-422-22-2214-4-1-1122-2-202i3−2i30-22-22-11002i3−2i3−i3−i3i3i300000000000000000−i3i31-1000000000000000000000
χ744-4-44-2-24-422-22-221-44-1-1122-2-20−2i32i302-22-2-11002i3−2i3−i3−i3i3i300000000000000000i3−i3-11000000000000000000000
χ754-4-44-2-24-422-22-221-44-1-1122-2-202i3−2i302-22-2-1100−2i32i3i3i3−i3−i300000000000000000−i3i3-11000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-400-44-884-8-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-444-4442002-2-20000000000000026−2600−66−66000000000000000000000000000000000000000000
χ7988-8-8-4-400-444-4442002-2-200000000000000−2626006−66−6000000000000000000000000000000000000000000
χ808-88-88-4004-4-8-848-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8844-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-4444-4200-22-2000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ838-88-8-4-4004-4444-4200-22-20000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-44-44200-2-22-4-444000000002-200000000000000000000000000000000000000000000000000

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