Finite Group Databasebeta

← Group #10833347

Character table — Group #10833347

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222222222444444444444888888888888888888121212121212121212121212161616161616161616162424242424244848
order122222223444444666246666121212121212224468888122424242424242424224444444444668812122424242422444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1
χ411111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111
χ7111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-111
χ8111111111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-111-111-1-1
χ911111-1-1111-1-1111111-1-111-1-11-1-111111-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-111-1-1-11-1-11-11-1
χ1011111-1-1111-1-1111111-1-111-1-11-1-111111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-111-11-11
χ1111111-1-1111-1-1111111-1-111-1-11-1-111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1111111-11-1-1-1-111-11-1-11-1-11
χ1211111-1-1111-1-1111111-1-111-1-11-1-111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-11-1-1-1-1111-111-111-1
χ1311111-1-1111-1-1111111-1-111-1-11-1-1111-1-111-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-1-111-1-11-1-11-11
χ1411111-1-1111-1-1111111-1-111-1-11-1-1111-1-111-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-111-11-1
χ1511111-1-1111-1-1111111-1-111-1-11-1-1111-1-111-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-11-11111-1-1-1-11-1-111-1
χ1611111-1-1111-1-1111111-1-111-1-11-1-1111-1-111-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11111-1-111-111-1-11
χ17222222222-2-2-2-2-2-22222-22222-2-2-2-2-2-22-22-220000-2000000000000000000002-2002-2000000000000
χ18222222222-2-2-2-2-2-22222-22222-2-2-2-2-2-2-22-2220000-200000000000000000000-2200-22000000000000
χ1922222222-1222222-1-1-122-1-1-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-1-1-1000000000000-1-122-1-1-1-1-1-100000000
χ2022222222-1222222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-2-2-2-111111111000000000000-1-1-2-2-1-1111100000000
χ2122222222-1222222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-1-100000000000011-2-211111100000000
χ2222222222-1222222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-2-2-2-2-111111111000000000000112211-1-1-1-100000000
χ2322222222-1-2-2-2-2-2-2-1-1-12-2-1-1-1-11111112-22-2-10000133−3−333−3−3000000000000-1100-113−33−300000000
χ2422222222-1-2-2-2-2-2-2-1-1-12-2-1-1-1-11111112-22-2-100001−3−333−3−333000000000000-1100-11−33−3300000000
χ2522222222-1-2-2-2-2-2-2-1-1-12-2-1-1-1-1111111-22-22-10000133−3−333−3−30000000000001-1001-1−33−3300000000
χ2622222222-1-2-2-2-2-2-2-1-1-12-2-1-1-1-1111111-22-22-100001−3−333−3−3330000000000001-1001-13−33−300000000
χ2722222-2-222-222-2-2-2222-2222-2-2-222-2-2-22-2-22-200002000000000000000000002-200-22000000000000
χ2822222-2-222-222-2-2-2222-2222-2-2-222-2-2-2-222-2-20000200000000000000000000-22002-2000000000000
χ2922222-2-22-12-2-2222-1-1-1-2-2-1-111-111-1-1-122-2-2122-2-21-1-1-1-11111000000000000-1-12-211-1-11100000000
χ3022222-2-22-12-2-2222-1-1-1-2-2-1-111-111-1-1-122-2-21-2-22211111-1-1-1-1000000000000-1-1-221111-1-100000000
χ3122222-2-22-12-2-2222-1-1-1-2-2-1-111-111-1-1-1-2-222122-2-21-1-1-1-1111100000000000011-22-1-111-1-100000000
χ3222222-2-22-12-2-2222-1-1-1-2-2-1-111-111-1-1-1-2-2221-2-22211111-1-1-1-1000000000000112-2-1-1-1-11100000000
χ3322222-2-22-1-222-2-2-2-1-1-1-22-1-1111-1-11112-2-2210000-133−3−3−3−333000000000000-11001-13−3−3300000000
χ3422222-2-22-1-222-2-2-2-1-1-1-22-1-1111-1-11112-2-2210000-1−3−33333−3−3000000000000-11001-1−333−300000000
χ3522222-2-22-1-222-2-2-2-1-1-1-22-1-1111-1-1111-222-210000-133−3−3−3−3330000000000001-100-11−333−300000000
χ3622222-2-22-1-222-2-2-2-1-1-1-22-1-1111-1-1111-222-210000-1−3−33333−3−30000000000001-100-113−3−3300000000
χ372222-222-22222-2-22222-2-2-2-222222-2-220000-20000-200000000000000000000000000000002-20-2200
χ382222-222-22222-2-22222-2-2-2-222222-2-220000-20000-20000000000000000000000000000000-2202-200
χ392222-222-22-2-2-222-2222-22-2-222-2-2-222-20000-2000020000000022-2-2000000000000000000200-20000
χ402222-222-22-2-2-222-2222-22-2-222-2-2-222-20000-20000200000000-2-222000000000000000000-20020000
χ412222-2-2-2-222-2-2-2-2222222-2-2-2-22-2-2-2-2200002000020000000000000000000000000000000220-2-200
χ422222-2-2-2-222-2-2-2-2222222-2-2-2-22-2-2-2-2200002000020000000000000000000000000000000-2-202200
χ432222-2-2-2-22-22222-22222-2-2-2-2-2-22222-2000020000-20000000022-2-2000000000000000000-20020000
χ442222-2-2-2-22-22222-22222-2-2-2-2-2-22222-2000020000-200000000-2-222000000000000000000200-20000
χ452-22-2200-222002-2-2-22-2002-2002002-2-200000002i−2i000002i−2i2i−2i2-22-200002i2i−2i−2i000000000000000000
χ462-22-2200-222002-2-2-22-2002-2002002-2-200000002i−2i000002i−2i2i−2i-22-220000−2i−2i2i2i000000000000000000
χ472-22-2200-222002-2-2-22-2002-2002002-2-20000000−2i2i00000−2i2i−2i2i2-22-20000−2i−2i2i2i000000000000000000
χ482-22-2200-222002-2-2-22-2002-2002002-2-20000000−2i2i00000−2i2i−2i2i-22-2200002i2i−2i−2i000000000000000000
χ492-22-2-20022-2002-22-22-200-2200-2002-22000002-20002-22-200002-2-2222-2-20000000000000000000000
χ502-22-2-20022-2002-22-22-200-2200-2002-22000002-20002-22-20000-222-2-2-2220000000000000000000000
χ512-22-2-20022-2002-22-22-200-2200-2002-2200000-22000-22-2200002-2-22-2-2220000000000000000000000
χ522-22-2-20022-2002-22-22-200-2200-2002-2200000-22000-22-220000-222-222-2-20000000000000000000000
χ534444-444-4-2444-4-44-2-2-2-4-422-2-2-2-2-222-2000020000200000000000000000000000000000000000000
χ544444-444-4-2-4-4-444-4-2-2-2-4422-2-2222-2-22000020000-200000000000000000000000000000000000000
χ554444-4-4-4-4-24-4-4-4-44-2-2-2442222-22222-20000-20000-200000000000000000000000000000000000000
χ564444-4-4-4-4-2-44444-4-2-2-24-422222-2-2-2-220000-20000200000000000000000000000000000000000000
χ5744-4-40000404i−4i0004-4-400000004i−4i00000000000000000000000002-22-22i−2i2i−2i000000000000000000
χ5844-4-40000404i−4i0004-4-400000004i−4i0000000000000000000000000-22-22−2i2i−2i2i000000000000000000
χ5944-4-4000040−4i4i0004-4-40000000−4i4i00000000000000000000000002-22-2−2i2i−2i2i000000000000000000
χ6044-4-4000040−4i4i0004-4-40000000−4i4i0000000000000000000000000-22-222i−2i2i−2i000000000000000000
χ614-44-4400-44-400-444-44-4004-400-400-444000000000000000000000000000000000000000000000000
χ624-44-4400-4-24004-4-42-2200-2200-200-22200000004i−4i00000−2i2i−2i2i000000000000000000000000000000
χ634-44-4400-4-24004-4-42-2200-2200-200-2220000000−4i4i000002i−2i2i−2i000000000000000000000000000000
χ644-44-4400-4-2-400-4442-2200-22002002-2-200000000000000−2i32i32i3−2i3000000000000000000000000000000
χ654-44-4400-4-2-400-4442-2200-22002002-2-2000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ664-44-4-40044400-44-4-44-400-4400400-44-4000000000000000000000000000000000000000000000000
χ674-44-4-4004-2400-44-42-22002-200-2002-22000000000023−23−23230000000000000000000000000000000000
χ684-44-4-4004-2400-44-42-22002-200-2002-220000000000−232323−230000000000000000000000000000000000
χ694-44-4-4004-2-4004-442-22002-200200-22-2000004-4000-22-220000000000000000000000000000000000
χ704-44-4-4004-2-4004-442-22002-200200-22-200000-440002-22-20000000000000000000000000000000000
χ714-4-4404-404000000-4-4400004-400000000000000000000000000002-2-222-2-22000000000000000000
χ724-4-4404-404000000-4-4400004-40000000000000000000000000000-222-2-222-2000000000000000000
χ734-4-440-4404000000-4-440000-4400000000000000000000000000002-2-22-222-2000000000000000000
χ744-4-440-4404000000-4-440000-440000000000000000000000000000-222-22-2-22000000000000000000
χ7588-8-80000-408i−8i000-4440000000−4i4i000000000000000000000000000000000000000000000000000
χ7688-8-80000-40−8i8i000-44400000004i−4i000000000000000000000000000000000000000000000000000
χ778-8-8808-80-400000044-40000-44000000000000000000000000000000000000000000000000000000
χ788-8-880-880-400000044-400004-4000000000000000000000000000000000000000000000000000000

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