Finite Group Databasebeta

← Group #11878719

Character table — Group #11878719

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222444444444444446666668888888888881212121212121212121212121212121616161616161618182424242424242424243636364848487272
order12223344666666366688121212122424242444444444121212122424242424244888812121212121224242424121212121212122224446612242448812121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111-1-1-11111-1-11111111111111-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1
χ411111111111111111111111111111111-1-1-1-1-1-111111111-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-11-111
χ51111111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-11111111-1-11-1-1111111-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-1-1-111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-11-1111
χ71111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111111-1-1
χ9111111111111111111-1-11111-1-1-1-11111111-11111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1111-1-11111-1-1111-1-11-1-1-1-111-1
χ10111111111111111111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-11111-1-111-1-11-1-11-1-111-1-11
χ11111111111111111111-1-11111-1-1-1-11111-1-11-11111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-111-111-111-11
χ12111111111111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-111-1-11-11-111-111-1111-1-11-1
χ13111111111111111111-1-11111-1-1-1-1-1-1-1-1111-11111-1-1-1-1-1-11-1-111-1-111-1-11111-1-1111-1-1-1-11-11-1111-1-1-1111-1-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11-1-111-1-111-1-1111111-1-1-111-1-1-11-11-1-11-1-1-111-1111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1-111-1-111-1-1-1111-1-111-11-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1111111-1-111-1111-1-1-1-11-11
χ17222222-2-2222222222200-2-2-2-2000022-2-2220000-2-2000000-200002222-2-200000000000-2-2000000-20020000000
χ18222222-2-2222222222200-2-2-2-2000022-2-2-2-20000-2-20000002000022-2-2-2-20000000000022000000200-20000000
χ19222222-2-2222222222200-2-2-2-20000-2-222220000-2-2000000-20000-2-222220000000000022000000-200-20000000
χ20222222-2-2222222222200-2-2-2-20000-2-222-2-20000-2-200000020000-2-2-2-22200000000000-2-200000020020000000
χ2122222-1222-1-12-12-1-1-1-122-122-1222200002222-1-1-1-1-1-1-1-1-1-12220000-1-10000002-12-1-1-1-1002002-1-1-1-1-10000-1000
χ2222222-1222-1-12-12-1-1-1-122-122-12222000022-2-211-1-1-1-1-1-1-1-12220000-1-1000000-21-2111100-200-211-1-1-100001000
χ2322222-1222-1-12-12-1-1-1-122-122-122220000-2-222-1-1-1-1-1-1-1-1-1-1-2-2-20000110000002-12-1-1-1-100-200-21111100001000
χ2422222-1222-1-12-12-1-1-1-122-122-122220000-2-2-2-211-1-1-1-1-1-1-1-1-2-2-2000011000000-21-21111002002-1-11110000-1000
χ2522222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-20000222-2-1-1-1-11111112-2-20000-1-1000000-212-1-11100200-2-1-1-11100001000
χ2622222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-2000022-2211-1-11111112-2-20000-1-10000002-1-211-1-100-200211-1110000-1000
χ2722222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-20000-2-22-2-1-1-1-1111111-222000011000000-212-1-11100-2002111-1-10000-1000
χ2822222-1222-1-12-12-1-1-1-1-2-2-122-1-2-2-2-20000-2-2-2211-1-1111111-2220000110000002-1-211-1-100200-2-1-11-1-100001000
χ292222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-12222002222-1-122-1-1-1-100022-1-100-1-1-1-1-1-1-12-1-1-1-1-100022000000000-10-100
χ302222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-1222200-2-2-2-2-1-122-1-1-1-100022-1-100-1-1-1-1-1-11-211111000-2-200000000010100
χ312222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-2002222-1-122-1-1-1-1000-2-21100111111-12-1-1-1-1-1000-2-200000000010100
χ322222-1222-122-12-1-1-1-1-1222-1-12-1-1-1-1-2-2-2-200-2-2-2-2-1-122-1-1-1-1000-2-211001111111-21111100022000000000-10-100
χ332222-1222-122-12-1-1-1-1-1-2-22-1-1211112222002-222-1-1-2-21111000-2-2-1-100-1-111111-2-1-1-1110002-200000000010-100
χ342222-1222-122-12-1-1-1-1-1-2-22-1-121111222200-22-2-2-1-1-2-21111000-2-2-1-100-1-11111-12111-1-1000-22000000000-10100
χ352222-1222-122-12-1-1-1-1-1-2-22-1-121111-2-2-2-2002-222-1-1-2-2111100022110011-1-1-1-11-2-1-1-111000-22000000000-10100
χ362222-1222-122-12-1-1-1-1-1-2-22-1-121111-2-2-2-200-22-2-2-1-1-2-2111100022110011-1-1-1-1-12111-1-10002-200000000010-100
χ372-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i2002-22-2000000−i2i2−i2−i2i2i20−i2i2−i2i2002-22-2−i2−i2i2i200000002-20000000−i2i20−i2i200000
χ382-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i2002-2-22000000−i2i2−i2−i2i2i20i2−i2−i2i200-222-2−i2−i2i2i20000000-220000000i2−i20i2−i200000
χ392-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i200-222-2000000−i2i2−i2−i2i2i20−i2i2i2−i2002-2-22i2i2−i2−i20000000-220000000−i2i20i2−i200000
χ402-22-22200-2-22-2-222-22-2−i2i20000−i2−i2i2i200-22-22000000−i2i2−i2−i2i2i20i2−i2i2−i200-22-22i2i2−i2−i200000002-20000000i2−i20−i2i200000
χ412-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i2002-22-2000000i2−i2i2i2−i2−i20i2−i2i2−i2002-22-2i2i2−i2−i200000002-20000000i2−i20i2−i200000
χ422-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i2002-2-22000000i2−i2i2i2−i2−i20−i2i2i2−i200-222-2i2i2−i2−i20000000-220000000−i2i20−i2i200000
χ432-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i200-222-2000000i2−i2i2i2−i2−i20i2−i2−i2i2002-2-22−i2−i2i2i20000000-220000000i2−i20−i2i200000
χ442-22-22200-2-22-2-222-22-2i2−i20000i2i2−i2−i200-22-22000000i2−i2i2i2−i2−i20−i2i2−i2i200-22-22−i2−i2i2i200000002-20000000−i2i20i2−i200000
χ4544444-2-4-44-2-24-24-2-2-2-2002-4-420000000044000022000000-4000000-2-200000000000000000000020000000000
χ4644444-2-4-44-2-24-24-2-2-2-2002-4-4200000000-4-4000022000000400000022000000000000000000000-20000000000
χ474444-24-4-4-244-24-2-2-2-2-200-422-4000044-4-40000002200000000000-2-20022000000000000000000000000000000
χ484444-24-4-4-244-24-2-2-2-2-200-422-40000-4-44400000022000000000002200-2-2000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000044-2-211-2-21111000000000000000-2-2-211110000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-2000000-4-42211-2-21111000000000000000222-1-1-1-10000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-222220000004-4-2-21122-1-1-1-100000000000000022-211-1-10000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000-44221122-1-1-1-1000000000000000-2-22-1-1110000000000000000000
χ5344-4-4440044-4-4-4-444-4-400000000004-40000000000000000000004-40000000000000000000000000000000000
χ5444-4-4440044-4-4-4-444-4-40000000000-44000000000000000000000-440000000000000000000000000000000000
χ5544-4-4-2400-24-42-42-2-222000000i6−i6i6−i64-4000000000000i6−i6i6−i600000-220000i6−i6i6−i600000000000000000000000000
χ5644-4-4-2400-24-42-42-2-222000000i6−i6i6−i6-44000000000000i6−i6i6−i6000002-20000−i6i6−i6i600000000000000000000000000
χ5744-4-4-2400-24-42-42-2-222000000−i6i6−i6i64-4000000000000−i6i6−i6i600000-220000−i6i6−i6i600000000000000000000000000
χ5844-4-4-2400-24-42-42-2-222000000−i6i6−i6i6-44000000000000−i6i6−i6i6000002-20000i6−i6i6−i600000000000000000000000000
χ594-44-44-200-42-2-424-22-22−2i22i20000−2i2−2i22i22i200004-4000000i2−i2i2i2−i2−i20−2i22i20000-220000000000000000000000i2−i200000000
χ604-44-44-200-42-2-424-22-22−2i22i20000−2i2−2i22i22i20000-44000000i2−i2i2i2−i2−i202i2−2i200002-20000000000000000000000−i2i200000000
χ614-44-44-200-42-2-424-22-222i2−2i200002i22i2−2i2−2i200004-4000000−i2i2−i2−i2i2i202i2−2i20000-220000000000000000000000−i2i200000000
χ624-44-44-200-42-2-424-22-222i2−2i200002i22i2−2i2−2i20000-44000000−i2i2−i2−i2i2i20−2i22i200002-20000000000000000000000i2−i200000000
χ634-44-4-24002-442-4-2-22-22−2i22i20000i2i2−i2−i2004-400000000−2i22i2i2i2−i2−i2000−2i22i20000-22i2i2−i2−i200000000000000000000000000
χ644-44-4-24002-442-4-2-22-22−2i22i20000i2i2−i2−i200-4400000000−2i22i2i2i2−i2−i20002i2−2i200002-2−i2−i2i2i200000000000000000000000000
χ654-44-4-24002-442-4-2-22-222i2−2i20000−i2−i2i2i2004-4000000002i2−2i2−i2−i2i2i20002i2−2i20000-22−i2−i2i2i200000000000000000000000000
χ664-44-4-24002-442-4-2-22-222i2−2i20000−i2−i2i2i200-44000000002i2−2i2−i2−i2i2i2000−2i22i200002-2i2i2−i2−i200000000000000000000000000
χ674-4-44444-4-4-4-444-44-4-4400-44-4400000000000000-4400000000000000000000000000000000000000000000000
χ684-4-4444-44-4-4-444-44-4-44004-44-4000000000000004-400000000000000000000000000000000000000000000000
χ694-4-444-24-4-4224-2-4-222-20024-4-2000000000000002-20000000000000000000000000000000000−2i32i300000000000
χ704-4-444-24-4-4224-2-4-222-20024-4-2000000000000002-200000000000000000000000000000000002i3−2i300000000000
χ714-4-444-2-44-4224-2-4-222-200-2-44200000000000023−23-2200000000000000000000000023−23000000000000000000000
χ724-4-444-2-44-4224-2-4-222-200-2-442000000000000−2323-22000000000000000000000000−2323000000000000000000000
χ734-4-44-244-42-4-4-242-222-200-4-224000000000000002-20000000000000000023−23−232300000000000000000000000000
χ744-4-44-244-42-4-4-242-222-200-4-224000000000000002-200000000000000000−232323−2300000000000000000000000000
χ754-4-44-24-442-4-4-242-222-20042-2-423−23−23230000000000-220023−23−232300000000000000000000000000000000000000000
χ764-4-44-24-442-4-4-242-222-20042-2-4−232323−230000000000-2200−232323−2300000000000000000000000000000000000000000
χ774-4-44-2-2-44222-2-221-1-1100-22-2223−23−23230000000023−231-100−333−3000000000000000000−333-30000000000000000000
χ784-4-44-2-2-44222-2-221-1-1100-22-2223−23−232300000000−23231-100−333−30000000000000000003−3-330000000000000000000
χ794-4-44-2-2-44222-2-221-1-1100-22-22−232323−230000000023−231-1003−3−33000000000000000000−33-330000000000000000000
χ804-4-44-2-2-44222-2-221-1-1100-22-22−232323−2300000000−23231-1003−3−330000000000000000003−33-30000000000000000000
χ818888-4-4-8-8-4-4-4-4-4-4222200444400000000000000-2-200000000000000000000000000000000000000000000000
χ8288-8-88-4008-44-84-8-4-444000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-400-4-4444422-2-20000002i6−2i62i6−2i600000000000000−i6i6−i6i600000000000000000000000000000000000000000
χ8488-8-8-4-400-4-4444422-2-2000000−2i62i6−2i62i600000000000000i6−i6i6−i600000000000000000000000000000000000000000
χ858-88-8-4-40044-444-42-22-2−4i24i200002i22i2−2i2−2i20000000000002i2−2i2−i2−i2i2i200000000000000000000000000000000000000000
χ868-88-8-4-40044-444-42-22-24i2−4i20000−2i2−2i22i22i2000000000000−2i22i2i2i2−i2−i200000000000000000000000000000000000000000
χ878-8-88-4-48-8444-4-442-2-22004-44-400000000000000-2200000000000000000000000000000000000000000000000

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