Finite Group Databasebeta

← Group #10695622

Character table — Group #10695622

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222222222222224444444444488888888888888888888888888161616161616242424242424242448484848
order12222222223446666666444666612121212444488881212121212121212121224242424242424244412121212444488882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ411111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ51111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-11
χ81111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-11-1
χ922222222222-2-22222222-2-2-22222-2-2-2-200000000-2-2000000000000000000000022-2-200000000
χ1022222222222-2-22222222-2-2-22222-2-2-2-200000000-2-20000000000000000000000-2-22200000000
χ112222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ122222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111-2-21111000000000000
χ132222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-22222-1-111111111-1-1-1-1-1-1-1-1-2-21111000000000000
χ142222222222-122-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111111111111122-1-1-1-1000000000000
χ15222222-2-2-2-222222-2-2-2-22-2-2222-2-2-2-222000000002-2000000000000000000000000000000020-2
χ16222222-2-2-2-222222-2-2-2-22-2-2222-2-2-2-222000000002-20000000000000000000000000000000-202
χ17222222-2-2-2-22-2-222-2-2-2-2222-222-2-222-2-200000000-2200000000000000002i−2i2i2i−2i−2i000000000000
χ18222222-2-2-2-22-2-222-2-2-2-2222-222-2-222-2-200000000-220000000000000000−2i2i−2i−2i2i2i000000000000
χ19222222-2-2-2-2-1-2-2-1-11111-122-2-1-111-1-111000000001-1−i3−i3−i3−i3i3i3i3i33333−3−3−3−32i−2i−i−iii000000000000
χ20222222-2-2-2-2-1-2-2-1-11111-122-2-1-111-1-111000000001-1−i3−i3−i3−i3i3i3i3i3−3−3−3−33333−2i2iii−i−i000000000000
χ21222222-2-2-2-2-1-2-2-1-11111-122-2-1-111-1-111000000001-1i3i3i3i3−i3−i3−i3−i33333−3−3−3−3−2i2iii−i−i000000000000
χ22222222-2-2-2-2-1-2-2-1-11111-122-2-1-111-1-111000000001-1i3i3i3i3−i3−i3−i3−i3−3−3−3−333332i−2i−i−iii000000000000
χ232222-2-222-2-222222222222-2-2-2-2-2-22222000022-2-2-2-20000000022-2-222-2-2000000000000000000
χ242222-2-222-2-222222222222-2-2-2-2-2-222220000-2-222-2-200000000-2-222-2-222000000000000000000
χ252222-2-222-2-22-2-22222222-222-2-2-2-2-2-2-2-200000000220000000000000000000000000022-2-20000
χ262222-2-222-2-22-2-22222222-222-2-2-2-2-2-2-2-2000000002200000000000000000000000000-2-2220000
χ272222-2-222-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-1000022-2-211−i3−i3i3i3−i3−i3i3i3-1-111-1-11100−i3i3−i3i3000000000000
χ282222-2-222-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-1000022-2-211i3i3−i3−i3i3i3−i3−i3-1-111-1-11100i3−i3i3−i3000000000000
χ292222-2-222-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-10000-2-22211−i3−i3i3i3−i3−i3i3i311-1-111-1-100i3−i3i3−i3000000000000
χ302222-2-222-2-2-122-1-1-1-1-1-1-12-2-21111-1-1-1-10000-2-22211i3i3−i3−i3i3i3−i3−i311-1-111-1-100−i3i3−i3i3000000000000
χ312222-2-2-2-22222222-2-2-2-22-22-2-2-222-2-22200000000-2200000000000000000000000000000020-20
χ322222-2-2-2-22222222-2-2-2-22-22-2-2-222-2-22200000000-22000000000000000000000000000000-2020
χ332222-2-2-2-2222-2-222-2-2-2-222-22-2-22222-2-222-2-200002-222-2-2-2-22200000000000000000000000000
χ342222-2-2-2-2222-2-222-2-2-2-222-22-2-22222-2-2-2-22200002-2-2-22222-2-200000000000000000000000000
χ352222-2-2-2-222-1-2-2-1-11111-12-2211-1-1-1-11122-2-20000-11-1-11111-1-133−3−3−3−333003−3−33000000000000
χ362222-2-2-2-222-1-2-2-1-11111-12-2211-1-1-1-11122-2-20000-11-1-11111-1-1−3−33333−3−300−333−3000000000000
χ372222-2-2-2-222-1-2-2-1-11111-12-2211-1-1-1-111-2-2220000-1111-1-1-1-11133−3−3−3−33300−333−3000000000000
χ382222-2-2-2-222-1-2-2-1-11111-12-2211-1-1-1-111-2-2220000-1111-1-1-1-111−3−33333−3−3003−3−33000000000000
χ392-2-222-22-22-22002-222-2-2-20002-22-2000000002−22−200000000002−22−22−22−2000000002i−2i−i2i2−i2i20000
χ402-2-222-22-22-22002-222-2-2-20002-22-2000000002−22−200000000002−22−22−22−200000000−2i2ii2−i2i2−i20000
χ412-2-222-22-22-22002-222-2-2-20002-22-200000000−22−220000000000−22−22−22−22000000002i−2ii2−i2i2−i20000
χ422-2-222-22-22-22002-222-2-2-20002-22-200000000−22−220000000000−22−22−22−2200000000−2i2i−i2i2−i2i20000
χ432-2-22-222-2-222002-222-2-2-2000-22-22000000002−2−2200000000002−2−222−2−220000002i−2i00−i2i2i2−i20000
χ442-2-22-222-2-222002-222-2-2-2000-22-22000000002−2−2200000000002−2−222−2−22000000−2i2i00i2−i2−i2i20000
χ452-2-22-222-2-222002-222-2-2-2000-22-2200000000−222−20000000000−222−2−222−20000002i−2i00i2−i2−i2i20000
χ462-2-22-222-2-222002-222-2-2-2000-22-2200000000−222−20000000000−222−2−222−2000000−2i2i00−i2i2i2−i20000
χ474444444444-2-4-4-2-2-2-2-2-2-2-4-4-4-2-2-2-2222200000000220000000000000000000000000000000000
χ48444444-4-4-4-4-244-2-22222-2-4-44-2-22222-2-200000000-220000000000000000000000000000000000
χ494444-4-444-4-4-2-4-4-2-2-2-2-2-2-2-4442222222200000000-2-20000000000000000000000000000000000
χ504444-4-4-4-444-244-2-22222-2-44-422-2-222-2-2000000002-20000000000000000000000000000000000
χ514-44-400000044-4-4-4000040000000004-42-22-20000002-22-22-22-200000000000000000000000000
χ524-44-400000044-4-4-4000040000000004-4-22-22000000-22-22-22-2200000000000000000000000000
χ534-44-40000004-44-4-400004000000000-442-2-220000002-2-22-222-200000000000000000000000000
χ544-44-40000004-44-4-400004000000000-44-222-2000000-222-22-2-2200000000000000000000000000
χ554-44-4000000-24-422−2i32i3−2i32i3-20000000−2i32i3-222-22-2000000−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i300000000000000000000000000
χ564-44-4000000-24-422−2i32i3−2i32i3-20000000−2i32i3-22-22-220000001+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i300000000000000000000000000
χ574-44-4000000-24-4222i3−2i32i3−2i3-200000002i3−2i3-222-22-2000000−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i300000000000000000000000000
χ584-44-4000000-24-4222i3−2i32i3−2i3-200000002i3−2i3-22-22-220000001−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i300000000000000000000000000
χ594-44-4000000-2-4422−2i32i3−2i32i3-200000002i3−2i32-22-2-22000000−1+i31−i31+i3−1−i31−i3−1+i3−1−i31+i300000000000000000000000000
χ604-44-4000000-2-4422−2i32i3−2i32i3-200000002i3−2i32-2-222-20000001−i3−1+i3−1−i31+i3−1+i31−i31+i3−1−i300000000000000000000000000
χ614-44-4000000-2-44222i3−2i32i3−2i3-20000000−2i32i32-22-2-22000000−1−i31+i31−i3−1+i31+i3−1−i3−1+i31−i300000000000000000000000000
χ624-44-4000000-2-44222i3−2i32i3−2i3-20000000−2i32i32-2-222-20000001+i3−1−i3−1+i31−i3−1−i31+i31−i3−1+i300000000000000000000000000
χ634-4-444-44-44-4-200-22-2-2222000-22-220000000022−2222−220000000000−22−22−22−22000000000000000000
χ644-4-444-44-44-4-200-22-2-2222000-22-2200000000−2222−222200000000002−22−22−22−2000000000000000000
χ654-4-444-4-44-444004-4-4-444-40004-4-44000000000000000000000000000000000000000000000000
χ664-4-444-4-44-44-200-2222-2-22000-222-200000000000000000000006−66−6−66−66000000000000000000
χ674-4-444-4-44-44-200-2222-2-22000-222-20000000000000000000000−66−666−66−6000000000000000000
χ684-4-44-444-4-44-200-22-2-22220002-22-20000000022−22−22220000000000−222−2−222−2000000000000000000
χ694-4-44-444-4-44-200-22-2-22220002-22-200000000−222222−2200000000002−2−222−2−22000000000000000000
χ704-4-44-44-444-44004-4-4-444-4000-444-4000000000000000000000000000000000000000000000000
χ714-4-44-44-444-4-200-2222-2-220002-2-2200000000000000000000006−6−66−666−6000000000000000000
χ724-4-44-44-444-4-200-2222-2-220002-2-220000000000000000000000−666−66−6−66000000000000000000
χ7388-8-8000000800-880000-80000000000000000000000000000000000000000000000000000000
χ7488-8-8000000-4004-4−4i34i34i3−4i340000000000000000000000000000000000000000000000000000000
χ7588-8-8000000-4004-44i3−4i3−4i34i340000000000000000000000000000000000000000000000000000000

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