Finite Group Databasebeta

← Group #11792635

Character table — Group #11792635

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212444488881212121212121212242424242424242444441212121212121212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ92222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000022-2-200002222-2-2-2-200000000000000000000000000
χ102222222222-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000-2-2220000-2-2-2-2222200000000000000000000000000
χ11222222222-12222222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ12222222222-12222222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ13222222222-12222222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-11111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ14222222222-12222222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ15222222222-1-2-2-2-2222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i322-2-20000-1-1-1-11111000000000000−i3−i3i3i30000000000
χ16222222222-1-2-2-2-2222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i3-2-22200001111-1-1-1-1000000000000i3i3−i3−i30000000000
χ17222222222-1-2-2-2-2222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i322-2-20000-1-1-1-11111000000000000i3i3−i3−i30000000000
χ18222222222-1-2-2-2-2222222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i3-2-22200001111-1-1-1-1000000000000−i3−i3i3i30000000000
χ1922222222-122222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2022222222-122222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2122222222-122222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2222222222-122222-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ23222-22-2-2-2220000222-2-2-222-22-2-2-2-22222-2-2-2-2000000000000000000000000000000002-222−2−2000022-2-22222−2−2−2−200000000000022−2−200
χ24222-22-2-2-2220000222-2-2-222-22-2-2-2-22222-2-2-2-2000000000000000000000000000000002-2−2−222000022-2-2−2−2−2−22222000000000000−2−22200
χ25222-22-2-2-2220000222-2-2-222-22-2-2-2-22222-2-2-2-200000000000000000000000000000000-2222−2−20000-2-2222222−2−2−2−2000000000000−2−22200
χ26222-22-2-2-2220000222-2-2-222-22-2-2-2-22222-2-2-2-200000000000000000000000000000000-22−2−2220000-2-222−2−2−2−2222200000000000022−2−200
χ2722-22-22-2-22200002-2-222-22-22-22-2-2-222-2-222-2-20000000000000000000000000000002-2002−22−222-2-2000022−2−222−2−20000000000002−22−200
χ2822-22-22-2-22200002-2-222-22-22-22-2-2-222-2-222-2-20000000000000000000000000000002-200−22−2222-2-20000−2−222−2−222000000000000−22−2200
χ2922-22-22-2-22200002-2-222-22-22-22-2-2-222-2-222-2-2000000000000000000000000000000-22002−22−2-2-222000022−2−222−2−2000000000000−22−2200
χ3022-22-22-2-22200002-2-222-22-22-22-2-2-222-2-222-2-2000000000000000000000000000000-2200−22−22-2-2220000−2−222−2−2220000000000002−22−200
χ3122-2-2-2-222222-22-22-2-2-2-222-2-2-2-222222-2-2-2-22222-2-22-2-22000000000022-2-20000000000002-2-220000000022-2-2-2-222000000000000000000
χ3222-2-2-2-222222-22-22-2-2-2-222-2-2-2-222222-2-2-2-22222-2-22-2-22000000000022-2-2000000000000-222-200000000-2-22222-2-2000000000000000000
χ3322-2-2-2-22222-22-222-2-2-2-222-2-2-2-222222-2-2-2-222-2-222-222-20000000000-2-222000000000000000000000000000000000000000000002-2-2200
χ3422-2-2-2-22222-22-222-2-2-2-222-2-2-2-222222-2-2-2-222-2-222-222-20000000000-2-22200000000000000000000000000000000000000000000-222-200
χ3522-2-2-2-222-122-22-2-11111-12-2-2-2-222-1-1-11111-1-122-2-2-111-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i300002-2-2200000000-1-11111-1-100000000−i3−i3i3i3000000
χ3622-2-2-2-222-122-22-2-11111-12-2-2-2-222-1-1-11111-1-122-2-2-111-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i30000-222-20000000011-1-1-1-11100000000i3i3−i3−i3000000
χ3722-2-2-2-222-122-22-2-11111-12-2-2-2-222-1-1-11111-1-122-2-2-111-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i300002-2-2200000000-1-11111-1-100000000i3i3−i3−i3000000
χ3822-2-2-2-222-122-22-2-11111-12-2-2-2-222-1-1-11111-1-122-2-2-111-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i30000-222-20000000011-1-1-1-11100000000−i3−i3i3i3000000
χ392-222-2-2-222222-2-2-22-22-2-2-222-2-22-222-22-22-2-222-22-222-2-200000000002-22-2000000000000000000000000000000002i−2i002i−2i2i−2i0000000000
χ402-222-2-2-222222-2-2-22-22-2-2-222-2-22-222-22-22-2-222-22-222-2-200000000002-22-200000000000000000000000000000000−2i2i00−2i2i−2i2i0000000000
χ412-222-2-2-2222-2-222-22-22-2-2-222-2-22-222-22-22-2-22-22-22-2-2222-22-22-22-22-2-22-222-22-22-22-2000000000000000000000000000000000000000000
χ422-222-2-2-2222-2-222-22-22-2-2-222-2-22-222-22-22-2-22-22-22-2-222-22-22-22-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000
χ432-222-2-2-222-122-2-2-22-22-2-21-1-111-112-11-11-111-1-11-1122-2-200−i3i3i3−i30000-11-11−i3i3−i3i3i3−i3i3−i3000000003−33−33−33−3000000002i−2i00−ii−ii0000000000
χ442-222-2-2-222-122-2-2-22-22-2-21-1-111-112-11-11-111-1-11-1122-2-200−i3i3i3−i30000-11-11−i3i3−i3i3i3−i3i3−i300000000−33−33−33−3300000000−2i2i00i−ii−i0000000000
χ452-222-2-2-222-122-2-2-22-22-2-21-1-111-112-11-11-111-1-11-1122-2-200i3−i3−i3i30000-11-11i3−i3i3−i3−i3i3−i3i3000000003−33−33−33−300000000−2i2i00i−ii−i0000000000
χ462-222-2-2-222-122-2-2-22-22-2-21-1-111-112-11-11-111-1-11-1122-2-200i3−i3−i3i30000-11-11i3−i3i3−i3−i3i3−i3i300000000−33−33−33−33000000002i−2i00−ii−ii0000000000
χ472-222-2-2-222-1-2-222-22-22-2-21-1-111-112-11-11-111-11-11-1-2-2222-2-11-112-22-21-11-1-11-11-11-11000000003−33−3−33−330000000000003−3−330000000000
χ482-222-2-2-222-1-2-222-22-22-2-21-1-111-112-11-11-111-11-11-1-2-2222-2-11-112-22-21-11-1-11-11-11-1100000000−33−333−33−3000000000000−333−30000000000
χ492-222-2-2-222-1-2-222-22-22-2-21-1-111-112-11-11-111-11-11-1-2-222-221-11-1-22-221-11-11-11-11-11-1000000003−33−3−33−33000000000000−333−30000000000
χ502-222-2-2-222-1-2-222-22-22-2-21-1-111-112-11-11-111-11-11-1-2-222-221-11-1-22-221-11-11-11-11-11-100000000−33−333−33−30000000000003−3−330000000000
χ512-222-2-2-22-12-2-2221-11-111-222-2-22-2-1-11-11-111-1-22-2211-1-12-22-22-2-11-111-11-1-11-11-11-110000000000000000−i3i3−i3i3−i3i3−i3i300000000−i3i3−i3i3000000
χ522-222-2-2-22-12-2-2221-11-111-222-2-22-2-1-11-11-111-1-22-2211-1-12-22-22-2-11-111-11-1-11-11-11-110000000000000000i3−i3i3−i3i3−i3i3−i300000000i3−i3i3−i3000000
χ532-222-2-2-22-12-2-2221-11-111-222-2-22-2-1-11-11-111-1-22-2211-1-1-22-22-221-11-11-11-11-11-11-11-10000000000000000−i3i3−i3i3−i3i3−i3i300000000i3−i3i3−i3000000
χ542-222-2-2-22-12-2-2221-11-111-222-2-22-2-1-11-11-111-1-22-2211-1-1-22-22-221-11-11-11-11-11-11-11-10000000000000000i3−i3i3−i3i3−i3i3−i300000000−i3i3−i3i3000000
χ552-2-2-222-22222-2-22-2-22-22-2-2-2-2222-222-2-22-22-222-2-222-22-200000000002-2-220000000000000000000000000000000000000000000000002-2
χ562-2-2-222-22222-2-22-2-22-22-2-2-2-2222-222-2-22-22-222-2-222-22-200000000002-2-22000000000000000000000000000000000000000000000000-22
χ572-2-2-222-2222-222-2-2-22-22-2-2-2-2222-222-2-22-22-22-222-2-22-220000000000-222-200000000000000000000000000000000002-200002-2-22000000
χ582-2-2-222-2222-222-2-2-22-22-2-2-2-2222-222-2-22-22-22-222-2-22-220000000000-222-20000000000000000000000000000000000-220000-222-2000000
χ592-2-2-222-22-12-222-211-11-11-2-2-2222-2-1-111-11-11-1-222-21-11-1000000−i3i3i3−i31-1-11−i3i3i3−i3−i3i3i3−i30000000000000000−i3i3i3−i3i3−i3−i3i3002-20000-111-1000000
χ602-2-2-222-22-12-222-211-11-11-2-2-2222-2-1-111-11-11-1-222-21-11-1000000−i3i3i3−i31-1-11−i3i3i3−i3−i3i3i3−i30000000000000000i3−i3−i3i3−i3i3i3−i300-2200001-1-11000000
χ612-2-2-222-22-12-222-211-11-11-2-2-2222-2-1-111-11-11-1-222-21-11-1000000i3−i3−i3i31-1-11i3−i3−i3i3i3−i3−i3i30000000000000000−i3i3i3−i3i3−i3−i3i300-2200001-1-11000000
χ622-2-2-222-22-12-222-211-11-11-2-2-2222-2-1-111-11-11-1-222-21-11-1000000i3−i3−i3i31-1-11i3−i3−i3i3i3−i3−i3i30000000000000000i3−i3−i3i3−i3i3i3−i3002-20000-111-1000000
χ6344444444-24-4-4-4-4-2-2-2-2-2-24444444-2-2-2-2-2-2-2-2-2-4-4-4-422220000000000222200000000000000000000000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ6544444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6644444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111112222222200−2i3−2i32i32i30000-1-1-1-1i3i3i3i3−i3−i3−i3−i3000000000000000000000000000000000000000000
χ6744444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222002i32i3−2i3−2i30000-1-1-1-1−i3−i3−i3−i3i3i3i3i3000000000000000000000000000000000000000000
χ68444-44-4-4-44-20000444-4-4-4-2-22-2222-4-2-2-2-22222000000000000000000000000000000004-400000000-2-22200000000000000000000000000
χ69444-44-4-4-44-20000444-4-4-4-2-22-2222-4-2-2-2-2222200000000000000000000000000000000-440000000022-2-200000000000000000000000000
χ70444-44-4-4-4-240000-2-2-222244-44-4-4-42-2-2-2-2222200000000000000000000000000000000002222−22−2200000000−2−2−2−22222000000000000000000
χ71444-44-4-4-4-240000-2-2-222244-44-4-4-42-2-2-2-222220000000000000000000000000000000000−22−222222000000002222−2−2−2−2000000000000000000
χ7244-44-44-4-44-200004-4-444-4-22-22-222-4-2-222-2-2220000000000000000000000000000004-4000000-2-222000000000000000000000000000000
χ7344-44-44-4-44-200004-4-444-4-22-22-222-4-2-222-2-222000000000000000000000000000000-4400000022-2-2000000000000000000000000000000
χ7444-44-44-4-4-240000-222-2-224-44-44-4-42-2-222-2-222000000000000000000000000000000000022−2222−2200000000−2−222−2−222000000000000000000
χ7544-44-44-4-4-240000-222-2-224-44-44-4-42-2-222-2-2220000000000000000000000000000000000−2222−22220000000022−2−222−2−2000000000000000000
χ7644-4-4-4-4444-24-44-44-4-4-4-44-22222-2-24-2-22222-2-2-2-2224-4-440000000000-2-22200000000000000000000000000000000000000000000000000
χ7744-4-4-4-4444-2-44-444-4-4-4-44-22222-2-24-2-22222-2-222-2-2-444-4000000000022-2-200000000000000000000000000000000000000000000000000
χ7844-4-4-4-444-24-44-44-22222-24-4-4-4-444-2-2-22222-2-2-4-4442-2-22000000000022-2-200000000000000000000000000000000000000000000000000
χ7944-4-4-4-444-2-24-44-4-22222-2-22222-2-2-211-1-1-1-111-2-222-222-2000000−2i3−2i32i32i311-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ8044-4-4-4-444-2-24-44-4-22222-2-22222-2-2-211-1-1-1-111-2-222-222-20000002i32i3−2i3−2i311-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ8144-4-4-4-444-2-2-44-44-22222-2-22222-2-2-211-1-1-1-11122-2-22-2-220000000000-1-11133-3-3-3-333000000000000000000000000000000000000000000
χ8244-4-4-4-444-2-2-44-44-22222-2-22222-2-2-211-1-1-1-11122-2-22-2-220000000000-1-111-3-33333-3-3000000000000000000000000000000000000000000
χ834-444-4-4-44-2444-4-42-22-222-444-4-44-4-2-22-22-222-24-44-4-2-2220000000000-22-2200000000000000000000000000000000000000000000000000
χ844-444-4-4-44-2-244-4-42-22-2222-2-222-22-21-11-11-1-11-22-22-2-22200−2i32i32i3−2i300001-11-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ854-444-4-4-44-2-244-4-42-22-2222-2-222-22-21-11-11-1-11-22-22-2-222002i3−2i3−2i32i300001-11-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ864-444-4-4-44-2-2-4-4442-22-2222-2-222-22-21-11-11-1-112-22-222-2-24-4-22-22-22-22-11-111-11-11-11-1000000000000000000000000000000000000000000
χ874-444-4-4-44-2-2-4-4442-22-2222-2-222-22-21-11-11-1-112-22-222-2-2-442-22-22-22-2-11-11-11-11-11-11000000000000000000000000000000000000000000
χ884-44-4-444-4440000-44-4-444-44-4-44-44-44-44-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-4-444-44-20000-44-4-4442-222-22-2-4-22-222-2-2200000000000000000000000000000000000000000023−23−232300000000000000000000000000
χ904-44-4-444-44-20000-44-4-4442-222-22-2-4-22-222-2-22000000000000000000000000000000000000000000−232323−2300000000000000000000000000
χ914-44-4-444-4-2400002-222-2-2-44-4-44-442-22-222-2-220000000000000000000000000000000000000000000000i6−i6i6−i6−i6i6−i6i6000000000000000000
χ924-44-4-444-4-2400002-222-2-2-44-4-44-442-22-222-2-220000000000000000000000000000000000000000000000−i6i6−i6i6i6−i6i6−i6000000000000000000
χ934-4-444-44-4440000-4-444-44-4-444-4-44-44-4-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-44-44-20000-4-444-4422-2-222-2-4-222-2-22-220000000000000000000000000000000000000023−23−2323000000000000000000000000000000
χ954-4-444-44-44-20000-4-444-4422-2-222-2-4-222-2-22-2200000000000000000000000000000000000000−232323−23000000000000000000000000000000
χ964-4-444-44-4-24000022-2-22-2-4-444-4-442-222-2-22-220000000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ974-4-444-44-4-24000022-2-22-2-4-444-4-442-222-2-22-220000000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ984-4-4-444-444-24-4-44-4-44-44-4222-2-2-224-222-22-22-2-222-24-44-40000000000-222-200000000000000000000000000000000000000000000000000
χ994-4-4-444-444-2-444-4-4-44-44-4222-2-2-224-222-22-22-22-2-22-44-4400000000002-2-2200000000000000000000000000000000000000000000000000
χ1004-4-4-444-44-244-4-4422-22-22-4-4-4444-4-2-222-22-22-24-4-44-22-220000000000-222-200000000000000000000000000000000000000000000000000
χ1014-4-4-444-44-2-24-4-4422-22-22222-2-2-22-21-1-11-11-11-222-2-22-2200000000001-1-113-3-33-333-3000000000000000000000000000000000000000000
χ1024-4-4-444-44-2-24-4-4422-22-22222-2-2-22-21-1-11-11-11-222-2-22-2200000000001-1-11-333-33-3-33000000000000000000000000000000000000000000
χ1034-4-4-444-44-2-2-444-422-22-22222-2-2-22-21-1-11-11-112-2-222-22-2000000−2i32i32i3−2i3-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1044-4-4-444-44-2-2-444-422-22-22222-2-2-22-21-1-11-11-112-2-222-22-20000002i3−2i3−2i32i3-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ105888-88-8-8-8-4-40000-4-4-4444-4-44-444442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-40000-444-4-44-44-44-444422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-888-8-4-400004-444-4-44-444-44-442-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-88-8-4-4000044-4-44-444-4-444-442-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000

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