Finite Group Databasebeta

← Group #10852215

Character table — Group #10852215

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444444444444444888888888888888888888888888888882424242424242424242424244848
order122222222234466622444446666666666121212121212121244444444441212121212121212121212121212121212121212121222224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ911111111111-1-11111111-1-1-111111111111111-1-1-1-1-11-11-1-11-11-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11-1
χ1011111111111-1-11111111-1-1-111111111111111-1-1-1-1-11-11-1-11-11-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-111-11
χ1111111111111-1-11111111-1-1-111111111111111-1-1-1-1-1-11-11-1-11-11-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111-1
χ1211111111111-1-11111111-1-1-111111111111111-1-1-1-1-1-11-11-1-11-11-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-11
χ1311111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-11
χ1411111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-11-1
χ1511111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-11
χ1611111111111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111-1
χ172222222222-122-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ182222222222-122-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-22-2-2-2-2-1-111111111-1-1-1-11111111100000000000000
χ192222222222-122-1-1-1-2-2-2-2222-1-1-1-1-1-111111111-1-1-1-1-222-2-2-222-2-211-1-1-1-11111-1-111-1-1-1-1111100000000000000
χ202222222222-122-1-1-1-2-2-2-2222-1-1-1-1-1-111111111-1-1-1-1-2-2-222-2-2-222111111-1-1-1-1-1-1111111-1-1-1-100000000000000
χ212222222222-1-2-2-1-1-12222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-22-22-2-22-22-211-1-111-1-1111111-1-111-1-11100000000000000
χ222222222222-1-2-2-1-1-12222-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-22-22-2-22-221111-1-111-1-1111111-1-111-1-100000000000000
χ232222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-111111111111122-2-2222-2-22-1-1-1-11111-1-111-1-1-1-11111-1-100000000000000
χ242222222222-1-2-2-1-1-1-2-2-2-2-2-2-2-1-1-1-1-1-11111111111112-222-22-222-2-1-111-1-1-1-11111-1-111-1-1-1-11100000000000000
χ2522222-2-2-2-2222222222-2-22-2-222-2-2-2-22222-2-2-2-22222-2000020000-2-200000000-2-2220000000000000000000000
χ2622222-2-2-2-22222222-2-2222-2-222-2-2-2-2-2-2-2-22222222220000-200002200000000-2-2-2-20000000000000000000000
χ2722222-2-2-2-222-2-222222-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-220000-20000220000000022-2-20000000000000000000000
χ2822222-2-2-2-222-2-2222-2-222-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2000020000-2-20000000022220000000000000000000000
χ2922222-2-2-2-22-122-1-1-122-2-22-2-2-1-11111-1-1-1-11111-1-1-1-1-200002000011−i3i3−i3i3−i3i3−i3i311-1-1−i3i3−i3i3−i3i3−i3i300000000000000
χ3022222-2-2-2-22-122-1-1-122-2-22-2-2-1-11111-1-1-1-11111-1-1-1-1-200002000011i3−i3i3−i3i3−i3i3−i311-1-1i3−i3i3−i3i3−i3i3−i300000000000000
χ3122222-2-2-2-22-122-1-1-1-2-2222-2-2-1-111111111-1-1-1-1-1-1-1-120000-20000-1-1−i3i3−i3i3i3−i3i3−i31111−i3i3−i3i3i3−i3i3−i300000000000000
χ3222222-2-2-2-22-122-1-1-1-2-2222-2-2-1-111111111-1-1-1-1-1-1-1-120000-20000-1-1i3−i3i3−i3−i3i3−i3i31111i3−i3i3−i3−i3i3−i3i300000000000000
χ3322222-2-2-2-22-1-2-2-1-1-122-2-2-222-1-11111-1-1-1-11111111120000-20000-1-1−i3i3i3−i3−i3i3i3−i3-1-111−i3i3i3−i3−i3i3i3−i300000000000000
χ3422222-2-2-2-22-1-2-2-1-1-122-2-2-222-1-11111-1-1-1-11111111120000-20000-1-1i3−i3−i3i3i3−i3−i3i3-1-111i3−i3−i3i3i3−i3−i3i300000000000000
χ3522222-2-2-2-22-1-2-2-1-1-1-2-222-222-1-111111111-1-1-1-11111-200002000011−i3i3i3−i3i3−i3−i3i3-1-1-1-1−i3i3i3−i3i3−i3−i3i300000000000000
χ3622222-2-2-2-22-1-2-2-1-1-1-2-222-222-1-111111111-1-1-1-11111-200002000011i3−i3−i3i3−i3i3i3−i3-1-1-1-1i3−i3−i3i3−i3i3i3−i300000000000000
χ372222-222-2-2-22222220000-22-2-2-222-2-20000000022-2-200022000-2-200000022222-2000000-2-2-2-200000000000000
χ382222-222-2-2-22222220000-22-2-2-222-2-20000000022-2-2000-2-200022000000-2-2-2-22-2000000222200000000000000
χ392222-222-2-2-22-2-222200002-22-2-222-2-200000000-2-2220002-2000-2200000022-2-2-22000000-2-22200000000000000
χ402222-222-2-2-22-2-222200002-22-2-222-2-200000000-2-222000-220002-2000000-2-222-2200000022-2-200000000000000
χ412222-222-2-2-2-122-1-1-10000-22-211-1-111−i3−i3i3i3−i3−i3i3i3-1-11100022000-2-2−i3i3−i3i3−i3i3-1-1-1-1-11−i3i3i3−i3i3−i3111100000000000000
χ422222-222-2-2-2-122-1-1-10000-22-211-1-111−i3−i3i3i3−i3−i3i3i3-1-111000-2-200022−i3i3i3−i3i3−i31111-11−i3i3−i3i3−i3i3-1-1-1-100000000000000
χ432222-222-2-2-2-122-1-1-10000-22-211-1-111i3i3−i3−i3i3i3−i3−i3-1-11100022000-2-2i3−i3i3−i3i3−i3-1-1-1-1-11i3−i3−i3i3−i3i3111100000000000000
χ442222-222-2-2-2-122-1-1-10000-22-211-1-111i3i3−i3−i3i3i3−i3−i3-1-111000-2-200022i3−i3−i3i3−i3i31111-11i3−i3i3−i3i3−i3-1-1-1-100000000000000
χ452222-222-2-2-2-1-2-2-1-1-100002-2211-1-111−i3−i3i3i3−i3−i3i3i311-1-10002-2000-22i3−i3−i3i3i3−i3-1-1111-1i3−i3i3−i3−i3i311-1-100000000000000
χ462222-222-2-2-2-1-2-2-1-1-100002-2211-1-111−i3−i3i3i3−i3−i3i3i311-1-1000-220002-2i3−i3i3−i3−i3i311-1-11-1i3−i3−i3i3i3−i3-1-11100000000000000
χ472222-222-2-2-2-1-2-2-1-1-100002-2211-1-111i3i3−i3−i3i3i3−i3−i311-1-10002-2000-22−i3i3i3−i3−i3i3-1-1111-1−i3i3−i3i3i3−i311-1-100000000000000
χ482222-222-2-2-2-1-2-2-1-1-100002-2211-1-111i3i3−i3−i3i3i3−i3−i311-1-1000-220002-2−i3i3−i3i3i3−i311-1-11-1−i3i3i3−i3−i3i3-1-11100000000000000
χ492222-2-2-222-22222220000-2-22-2-2-2-2220000000022-2-2022000-2-2000022220000-2200-2-2-2-2000000000000000000
χ502222-2-2-222-22222220000-2-22-2-2-2-2220000000022-2-20-2-2000220000-2-2-2-20000-22002222000000000000000000
χ512222-2-2-222-22-2-2222000022-2-2-2-2-22200000000-2-22202-2000-22000022-2-200002-200-2-222000000000000000000
χ522222-2-2-222-22-2-2222000022-2-2-2-2-22200000000-2-2220-220002-20000-2-22200002-20022-2-2000000000000000000
χ532222-2-2-222-2-122-1-1-10000-2-221111-1-1−i3−i3i3i3i3i3−i3−i3-1-111022000-2-200i3−i3-1-1-1-1−i3i3−i3i31-1−i3i31111i3−i3i3−i300000000000000
χ542222-2-2-222-2-122-1-1-10000-2-221111-1-1−i3−i3i3i3i3i3−i3−i3-1-1110-2-20002200i3−i31111i3−i3i3−i31-1−i3i3-1-1-1-1−i3i3−i3i300000000000000
χ552222-2-2-222-2-122-1-1-10000-2-221111-1-1i3i3−i3−i3−i3−i3i3i3-1-111022000-2-200−i3i3-1-1-1-1i3−i3i3−i31-1i3−i31111−i3i3−i3i300000000000000
χ562222-2-2-222-2-122-1-1-10000-2-221111-1-1i3i3−i3−i3−i3−i3i3i3-1-1110-2-20002200−i3i31111−i3i3−i3i31-1i3−i3-1-1-1-1i3−i3i3−i300000000000000
χ572222-2-2-222-2-1-2-2-1-1-1000022-21111-1-1−i3−i3i3i3i3i3−i3−i311-1-102-2000-2200−i3i3-1-111−i3i3i3−i3-11i3−i311-1-1i3−i3−i3i300000000000000
χ582222-2-2-222-2-1-2-2-1-1-1000022-21111-1-1−i3−i3i3i3i3i3−i3−i311-1-10-220002-200−i3i311-1-1i3−i3−i3i3-11i3−i3-1-111−i3i3i3−i300000000000000
χ592222-2-2-222-2-1-2-2-1-1-1000022-21111-1-1i3i3−i3−i3−i3−i3i3i311-1-102-2000-2200i3−i3-1-111i3−i3−i3i3-11−i3i311-1-1−i3i3i3−i300000000000000
χ602222-2-2-222-2-1-2-2-1-1-1000022-21111-1-1i3i3−i3−i3−i3−i3i3i311-1-10-220002-200i3−i311-1-1−i3i3i3−i3-11−i3i3-1-111i3−i3−i3i300000000000000
χ6122-2-2-22-22-222002-2-22-22-20002-22-22-22-22-22-22-20000000000000000000000000000000000000000002i−2i002i−2i00
χ6222-2-2-22-22-222002-2-22-22-20002-22-22-22-22-22-22-2000000000000000000000000000000000000000000−2i2i00−2i2i00
χ6322-2-2-22-22-222002-2-2-22-220002-22-22-2-22-22-22-220000000000000000000000000000000000000000002i−2i00−2i2i00
χ6422-2-2-22-22-222002-2-2-22-220002-22-22-2-22-22-22-22000000000000000000000000000000000000000000−2i2i002i−2i00
χ6522-2-2-2-22-2222002-2-22-2-220002-2-22-222-22-2-22-2200000000000000000000000000000000000000002i−2i002i−2i0000
χ6622-2-2-2-22-2222002-2-22-2-220002-2-22-222-22-2-22-220000000000000000000000000000000000000000−2i2i00−2i2i0000
χ6722-2-2-2-22-2222002-2-2-222-20002-2-22-22-22-222-22-200000000000000000000000000000000000000002i−2i00−2i2i0000
χ6822-2-2-2-22-2222002-2-2-222-20002-2-22-22-22-222-22-20000000000000000000000000000000000000000−2i2i002i−2i0000
χ6944-4-444-4-44-44004-4-40000000-444-4-440000000000000000000000000000000000000000000000000000000000
χ7044-4-444-4-44-4-200-22200000002-2-222-2−2i32i32i3−2i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ7144-4-444-4-44-4-200-22200000002-2-222-22i3−2i3−2i32i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ7244-4-44-444-4-44004-4-40000000-44-444-40000000000000000000000000000000000000000000000000000000000
χ7344-4-44-444-4-4-200-22200000002-22-2-22−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ7444-4-44-444-4-4-200-22200000002-22-2-222i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ7544-4-4-44-44-44-200-2224-44-4000-22-22-22-22-22-22-2200000000000000000000000000000000000000000000000000
χ7644-4-4-44-44-44-200-222-44-44000-22-22-222-22-22-22-200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-444-200-2224-4-44000-222-22-2-22-222-22-200000000000000000000000000000000000000000000000000
χ7844-4-4-4-44-444-200-222-444-4000-222-22-22-22-2-22-2200000000000000000000000000000000000000000000000000
χ794-4-4400000044-4-4-440000000000000000000004-400000000000000000000000000000000002-22-20000000000
χ804-4-4400000044-4-4-440000000000000000000004-40000000000000000000000000000000000-22-220000000000
χ814-4-440000004-44-4-44000000000000000000000-4400000000000000000000000000000000002-2-220000000000
χ824-4-440000004-44-4-44000000000000000000000-440000000000000000000000000000000000-222-20000000000
χ838-88-8000000800-88-800000000000000000000000000000000000000000000000000000000000000000000000
χ848-88-8000000-4004-440000000000000000000000043−430000000000000000000000000000000000000000000000
χ858-88-8000000-4004-4400000000000000000000000−43430000000000000000000000000000000000000000000000
χ868-8-88000000-48-844-4000000000000000000000-44000000000000000000000000000000000000000000000000
χ878-8-88000000-4-8844-40000000000000000000004-4000000000000000000000000000000000000000000000000

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