Finite Group Databasebeta

← Group #11866808

Character table — Group #11866808

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122244444444446666666688899121212121212121218181824244848727211222444444444466666666888991212121212121212181818242448487272
order1248833661212242424242244888812242422661212242424244884412124422488666612122424242422448888122424226612122424242448844121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1
χ4111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111
χ5111-1-1111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-11-1-11-11-11-1111-1-1111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-11-1-11-11-11-1
χ6111-1-1111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-11-1-1-11-11-11111-1-1111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-11-1-1-11-11-11
χ7111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-11-11-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-11-11-1-11
χ8111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1-11-111-1111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1-11-111-1
χ922222222222222200000000222-2-200000000-2-2-200000022222222222222200000000222-2-200000000-2-2-2000000
χ10222-2-2222222-2-2-2-2000000002-2-2-2-200000000-222000000222-2-2222222-2-2-2-2000000002-2-2-2-200000000-222000000
χ1122-2002222-2-2000000002i2i−2i−2i-200-2-200002i2i−2i−2i20000000022-2002222-2-2000000002i2i−2i−2i-200-2-200002i2i−2i−2i200000000
χ1222-2002222-2-200000000−2i−2i2i2i-200-2-20000−2i−2i2i2i20000000022-2002222-2-200000000−2i−2i2i2i-200-2-20000−2i−2i2i2i200000000
χ1322-2002222-2-2000022-2-20000-2002222-2-20000-20000000022-2002222-2-2000022-2-20000-2002222-2-20000-200000000
χ1422-2002222-2-20000-2-2220000-20022-2-2220000-20000000022-2002222-2-20000-2-2220000-20022-2-2220000-200000000
χ152-202−222-2-20022−2−2002i−2ii2−i2i2−i202−2-22002i−2ii2−i2i2−i202−20000002-202−222-2-20022−2−2002i−2ii2−i2i2−i202−2-22002i−2ii2−i2i2−i202−2000000
χ162-202−222-2-20022−2−200−2i2i−i2i2−i2i202−2-2200−2i2i−i2i2−i2i202−20000002-202−222-2-20022−2−200−2i2i−i2i2−i2i202−2-2200−2i2i−i2i2−i2i202−2000000
χ172-202−222-2-20022−2−22-2002−2−2202−22-22-2002−2−220−220000002-202−222-2-20022−2−22-2002−2−2202−22-22-2002−2−220−22000000
χ182-202−222-2-20022−2−2-2200−222−202−22-2-2200−222−20−220000002-202−222-2-20022−2−2-2200−222−202−22-2-2200−222−20−22000000
χ192-20−2222-2-200−2−222002i−2i−i2i2−i2i20−22-22002i−2i−i2i2−i2i20−220000002-20−2222-2-200−2−222002i−2i−i2i2−i2i20−22-22002i−2i−i2i2−i2i20−22000000
χ202-20−2222-2-200−2−22200−2i2ii2−i2i2−i20−22-2200−2i2ii2−i2i2−i20−220000002-20−2222-2-200−2−22200−2i2ii2−i2i2−i20−22-2200−2i2ii2−i2i2−i20−22000000
χ212-20−2222-2-200−2−2222-200−222−20−222-22-200−222−202−20000002-20−2222-2-200−2−2222-200−222−20−222-22-200−222−202−2000000
χ222-20−2222-2-200−2−222-22002−2−220−222-2-22002−2−2202−20000002-20−2222-2-200−2−222-22002−2−220−222-2-22002−2−2202−2000000
χ23444441-2-21-2-2-2-2-2-200000000111000000000000022-1-100444441-2-21-2-2-2-2-2-200000000111000000000000022-1-100
χ24444441-2-21-2-2-2-2-2-2000000001110000000000000-2-21100444441-2-21-2-2-2-2-2-2000000001110000000000000-2-21100
χ2544444-211-211111122222222-2-2-200-1-1-1-1-1-1-1-100000000044444-211-211111122222222-2-2-200-1-1-1-1-1-1-1-1000000000
χ2644444-211-2111111-2-2-2-2-2-2-2-2-2-2-2001111111100000000044444-211-2111111-2-2-2-2-2-2-2-2-2-2-20011111111000000000
χ27444-4-41-2-21-2-22222000000001-1-100000000000002-2-1100444-4-41-2-21-2-22222000000001-1-100000000000002-2-1100
χ28444-4-41-2-21-2-22222000000001-1-10000000000000-221-100444-4-41-2-21-2-22222000000001-1-10000000000000-221-100
χ29444-4-4-211-211-1-1-1-12222-2-2-2-2-22200-1-1-1-11111000000000444-4-4-211-211-1-1-1-12222-2-2-2-2-22200-1-1-1-11111000000000
χ30444-4-4-211-211-1-1-1-1-2-2-2-22222-222001111-1-1-1-1000000000444-4-4-211-211-1-1-1-1-2-2-2-22222-222001111-1-1-1-1000000000
χ3144-400-211-2-1-13i−3i3i−3i22-2-22i2i−2i−2i20000-1-111−i−iii00000000044-400-211-2-1-13i−3i3i−3i22-2-22i2i−2i−2i20000-1-111−i−iii000000000
χ3244-400-211-2-1-13i−3i3i−3i-2-222−2i−2i2i2i2000011-1-1ii−i−i00000000044-400-211-2-1-13i−3i3i−3i-2-222−2i−2i2i2i2000011-1-1ii−i−i000000000
χ3344-400-211-2-1-1−3i3i−3i3i22-2-2−2i−2i2i2i20000-1-111ii−i−i00000000044-400-211-2-1-1−3i3i−3i3i22-2-2−2i−2i2i2i20000-1-111ii−i−i000000000
χ3444-400-211-2-1-1−3i3i−3i3i-2-2222i2i−2i−2i2000011-1-1−i−iii00000000044-400-211-2-1-1−3i3i−3i3i-2-2222i2i−2i−2i2000011-1-1−i−iii000000000
χ354-4022−22-21-123i−3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32-22i−2i2ζ−2ζ2ζ3−2ζ30−2200-11−ii−ζζ−ζ3ζ30000000004-4022−22-21-123i−3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32-22i−2i2ζ−2ζ2ζ3−2ζ30−2200-11−ii−ζζ−ζ3ζ3000000000
χ364-4022−22-21-123i−3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3-22−2i2i−2ζ2ζ−2ζ32ζ30−22001-1i−iζ−ζζ3−ζ30000000004-4022−22-21-123i−3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3-22−2i2i−2ζ2ζ−2ζ32ζ30−22001-1i−iζ−ζζ3−ζ3000000000
χ374-4022−22-21-12−3i3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32-2−2i2i−2ζ32ζ3−2ζ2ζ0−2200-11i−iζ3−ζ3ζ−ζ0000000004-4022−22-21-12−3i3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32-2−2i2i−2ζ32ζ3−2ζ2ζ0−2200-11i−iζ3−ζ3ζ−ζ000000000
χ384-4022−22-21-12−3i3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3-222i−2i2ζ3−2ζ32ζ−2ζ0−22001-1−ii−ζ3ζ3−ζζ0000000004-4022−22-21-12−3i3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3-222i−2i2ζ3−2ζ32ζ−2ζ0−22001-1−ii−ζ3ζ3−ζζ000000000
χ394-40−2222-21-123i−3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32-22i−2i−2ζ2ζ−2ζ32ζ302−200-11−iiζ−ζζ3−ζ30000000004-40−2222-21-123i−3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32-22i−2i−2ζ2ζ−2ζ32ζ302−200-11−iiζ−ζζ3−ζ3000000000
χ404-40−2222-21-123i−3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3-22−2i2i2ζ−2ζ2ζ3−2ζ302−2001-1i−i−ζζ−ζ3ζ30000000004-40−2222-21-123i−3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3-22−2i2i2ζ−2ζ2ζ3−2ζ302−2001-1i−i−ζζ−ζ3ζ3000000000
χ414-40−2222-21-12−3i3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32-2−2i2i2ζ3−2ζ32ζ−2ζ02−200-11i−i−ζ3ζ3−ζζ0000000004-40−2222-21-12−3i3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32-2−2i2i2ζ3−2ζ32ζ−2ζ02−200-11i−i−ζ3ζ3−ζζ000000000
χ424-40−2222-21-12−3i3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3-222i−2i−2ζ32ζ3−2ζ2ζ02−2001-1−iiζ3−ζ3ζ−ζ0000000004-40−2222-21-12−3i3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3-222i−2i−2ζ32ζ3−2ζ2ζ02−2001-1−iiζ3−ζ3ζ−ζ000000000
χ4388-8002-4-4244000000000000-200000000000000000000088-8002-4-4244000000000000-2000000000000000000000
χ448-8042−422-44-200−22−2222220000000002−200000000000000000008-8042−422-44-200−22−2222220000000002−20000000000000000000
χ458-80−42422-44-2002222−22−22000000000−2200000000000000000008-80−42422-44-2002222−22−22000000000−220000000000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ47111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ48111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-1-1-1-1-111
χ49111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111111111-1-1-11111-1-1
χ50111-1-1111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-11-1-11-11-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-111-11-11-11
χ51111-1-1111111-1-1-1-11111-1-1-1-11-1-1111111-1-1-1-11-1-1-11-11-11-1-1-111-1-1-1-1-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1111-11-11-1
χ52111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-11-11-1-11-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-111-11-111-1
χ53111-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111111-1-1-11-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-1111-11-1-11
χ5422222222222222200000000222-2-200000000-2-2-2000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-22200000000222000000
χ55222-2-2222222-2-2-2-2000000002-2-2-2-200000000-222000000-2-2-222-2-2-2-2-2-2222200000000-22222000000002-2-2000000
χ5622-2002222-2-2000000002i2i−2i−2i-200-2-200002i2i−2i−2i200000000-2-2200-2-2-2-22200000000−2i−2i2i2i200220000−2i−2i2i2i-200000000
χ5722-2002222-2-200000000−2i−2i2i2i-200-2-20000−2i−2i2i2i200000000-2-2200-2-2-2-222000000002i2i−2i−2i2002200002i2i−2i−2i-200000000
χ5822-2002222-2-2000022-2-20000-2002222-2-20000-200000000-2-2200-2-2-2-2220000-2-2220000200-2-2-2-2220000200000000
χ5922-2002222-2-20000-2-2220000-20022-2-2220000-200000000-2-2200-2-2-2-222000022-2-20000200-2-222-2-20000200000000
χ602-202−222-2-20022−2−2002i−2ii2−i2i2−i202−2-22002i−2ii2−i2i2−i202−2000000-220−22-2-22200−2−22200−2i2i−i2i2−i2i20−222-200−2i2i−i2i2−i2i20−22000000
χ612-202−222-2-20022−2−200−2i2i−i2i2−i2i202−2-2200−2i2i−i2i2−i2i202−2000000-220−22-2-22200−2−222002i−2ii2−i2i2−i20−222-2002i−2ii2−i2i2−i20−22000000
χ622-202−222-2-20022−2−22-2002−2−2202−22-22-2002−2−220−22000000-220−22-2-22200−2−222-2200−222−20−22-22-2200−222−202−2000000
χ632-202−222-2-20022−2−2-2200−222−202−22-2-2200−222−20−22000000-220−22-2-22200−2−2222-2002−2−220−22-222-2002−2−2202−2000000
χ642-20−2222-2-200−2−222002i−2i−i2i2−i2i20−22-22002i−2i−i2i2−i2i20−22000000-2202−2-2-2220022−2−200−2i2ii2−i2i2−i202−22-200−2i2ii2−i2i2−i202−2000000
χ652-20−2222-2-200−2−22200−2i2ii2−i2i2−i20−22-2200−2i2ii2−i2i2−i20−22000000-2202−2-2-2220022−2−2002i−2i−i2i2−i2i202−22-2002i−2i−i2i2−i2i202−2000000
χ662-20−2222-2-200−2−2222-200−222−20−222-22-200−222−202−2000000-2202−2-2-2220022−2−2-22002−2−2202−2-22-22002−2−220−22000000
χ672-20−2222-2-200−2−222-22002−2−220−222-2-22002−2−2202−2000000-2202−2-2-2220022−2−22-200−222−202−2-222-200−222−20−22000000
χ68444441-2-21-2-2-2-2-2-200000000111000000000000022-1-100-4-4-4-4-4-122-122222200000000-1-1-10000000000000-2-21100
χ69444441-2-21-2-2-2-2-2-2000000001110000000000000-2-21100-4-4-4-4-4-122-122222200000000-1-1-1000000000000022-1-100
χ7044444-211-211111122222222-2-2-200-1-1-1-1-1-1-1-1000000000-4-4-4-4-42-1-12-1-1-1-1-1-1-2-2-2-2-2-2-2-22220011111111000000000
χ7144444-211-2111111-2-2-2-2-2-2-2-2-2-2-20011111111000000000-4-4-4-4-42-1-12-1-1-1-1-1-12222222222200-1-1-1-1-1-1-1-1000000000
χ72444-4-41-2-21-2-22222000000001-1-100000000000002-2-1100-4-4-444-122-122-2-2-2-200000000-1110000000000000-221-100
χ73444-4-41-2-21-2-22222000000001-1-10000000000000-221-100-4-4-444-122-122-2-2-2-200000000-11100000000000002-2-1100
χ74444-4-4-211-211-1-1-1-12222-2-2-2-2-22200-1-1-1-11111000000000-4-4-4442-1-12-1-11111-2-2-2-222222-2-2001111-1-1-1-1000000000
χ75444-4-4-211-211-1-1-1-1-2-2-2-22222-222001111-1-1-1-1000000000-4-4-4442-1-12-1-111112222-2-2-2-22-2-200-1-1-1-11111000000000
χ7644-400-211-2-1-13i−3i3i−3i22-2-22i2i−2i−2i20000-1-111−i−iii000000000-4-44002-1-1211−3i3i−3i3i-2-222−2i−2i2i2i-2000011-1-1ii−i−i000000000
χ7744-400-211-2-1-13i−3i3i−3i-2-222−2i−2i2i2i2000011-1-1ii−i−i000000000-4-44002-1-1211−3i3i−3i3i22-2-22i2i−2i−2i-20000-1-111−i−iii000000000
χ7844-400-211-2-1-1−3i3i−3i3i22-2-2−2i−2i2i2i20000-1-111ii−i−i000000000-4-44002-1-12113i−3i3i−3i-2-2222i2i−2i−2i-2000011-1-1−i−iii000000000
χ7944-400-211-2-1-1−3i3i−3i3i-2-2222i2i−2i−2i2000011-1-1−i−iii000000000-4-44002-1-12113i−3i3i−3i22-2-2−2i−2i2i2i-20000-1-111ii−i−i000000000
χ804-4022−22-21-123i−3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32-22i−2i2ζ−2ζ2ζ3−2ζ30−2200-11−ii−ζζ−ζ3ζ3000000000-440−22222-11-2−3i3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3-22−2i2i−2ζ2ζ−2ζ32ζ302−2001-1i−iζ−ζζ3−ζ3000000000
χ814-4022−22-21-123i−3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3-22−2i2i−2ζ2ζ−2ζ32ζ30−22001-1i−iζ−ζζ3−ζ3000000000-440−22222-11-2−3i3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32-22i−2i2ζ−2ζ2ζ3−2ζ302−200-11−ii−ζζ−ζ3ζ3000000000
χ824-4022−22-21-12−3i3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32-2−2i2i−2ζ32ζ3−2ζ2ζ0−2200-11i−iζ3−ζ3ζ−ζ000000000-440−22222-11-23i−3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3-222i−2i2ζ3−2ζ32ζ−2ζ02−2001-1−ii−ζ3ζ3−ζζ000000000
χ834-4022−22-21-12−3i3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3-222i−2i2ζ3−2ζ32ζ−2ζ0−22001-1−ii−ζ3ζ3−ζζ000000000-440−22222-11-23i−3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32-2−2i2i−2ζ32ζ3−2ζ2ζ02−200-11i−iζ3−ζ3ζ−ζ000000000
χ844-40−2222-21-123i−3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32-22i−2i−2ζ2ζ−2ζ32ζ302−200-11−iiζ−ζζ3−ζ3000000000-44022−222-11-2−3i3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3-22−2i2i2ζ−2ζ2ζ3−2ζ30−22001-1i−i−ζζ−ζ3ζ3000000000
χ854-40−2222-21-123i−3i−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3-22−2i2i2ζ−2ζ2ζ3−2ζ302−2001-1i−i−ζζ−ζ3ζ3000000000-44022−222-11-2−3i3i2ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32-22i−2i−2ζ2ζ−2ζ32ζ30−2200-11−iiζ−ζζ3−ζ3000000000
χ864-40−2222-21-12−3i3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32-2−2i2i2ζ3−2ζ32ζ−2ζ02−200-11i−i−ζ3ζ3−ζζ000000000-44022−222-11-23i−3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3-222i−2i−2ζ32ζ3−2ζ2ζ0−22001-1−iiζ3−ζ3ζ−ζ000000000
χ874-40−2222-21-12−3i3iζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3-222i−2i−2ζ32ζ3−2ζ2ζ02−2001-1−iiζ3−ζ3ζ−ζ000000000-44022−222-11-23i−3i−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32-2−2i2i2ζ3−2ζ32ζ−2ζ0−2200-11i−i−ζ3ζ3−ζζ000000000
χ8888-8002-4-4244000000000000-2000000000000000000000-8-8800-244-2-4-40000000000002000000000000000000000
χ898-8042−422-44-200−22−2222220000000002−20000000000000000000-880−4242-24-42002222−22−22000000000−220000000000000000000
χ908-80−42422-44-2002222−22−22000000000−220000000000000000000-88042−42-24-4200−22−2222220000000002−20000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.