Finite Group Databasebeta

← Group #11898391

Character table — Group #11898391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order122233446666663666881212121224242424444488884412121212242424242424444488121212121212242424241212121212121244244121212242444488612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-11111111-1-1-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1111
χ51111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111-1-1111111-1-1-1-1111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-111-1-11-1-11
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-111-1-111-11-1111-1-11-1-1-1-1-11-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-111111-111-1-1-1-1111-1-11-11-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1-1111-1-111-1-1-1-11111-11-111-1-1-1-1-1-11111-1-1-11111-1-11-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-11-1-111-1-111-11-1-1-1-1-1-1-11111-11
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1111111-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11-11111-1-11111-1-1-1-11-11-1-111-1-1-1-11-11111-1-1-111-1-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-111-1-1111-11-1-1-1111-1-1-1-11-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-11111-11-1-11111111-1-1-11-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-200002222-2-20000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-2000022-2-22200000000000-2-2000-20000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-220000-2-222-2-200000000000-2-200020000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-2000000220000-2-2-2-222000000000002200020000-200000000
χ2122222-12222-1-1-12-1-1-1-122-122-122222200000022-1-1-1-1-1-1-1-1-1-1022222-1-100000000-122-1-1-1-100200-1-1-1-1-100000-1000
χ2222222-12222-1-1-12-1-1-1-122-122-1222222000000-2-211-1-1-1-1-1-1-1-102-2-222-1-1000000001-2-2111100-200-111-1-1000001000
χ2322222-12222-1-1-12-1-1-1-122-122-12222-2-200000022-1-1-1-1-1-1-1-1-1-10-2-2-2-2-21100000000-122-1-1-1-100-20011111000001000
χ2422222-12222-1-1-12-1-1-1-122-122-12222-2-2000000-2-211-1-1-1-1-1-1-1-10-222-2-211000000001-2-21111002001-1-11100000-1000
χ2522222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-2220000002-2-1-1-1-11111110222-2-2-1-10000000012-2-1-11100-200-1-1-111000001000
χ2622222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-222000000-2211-1-111111102-2-2-2-2-1-100000000-1-2211-1-100200-1111100000-1000
χ2722222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-2-2-20000002-2-1-1-1-11111110-2-2-222110000000012-2-1-11100200111-1-100000-1000
χ2822222-12222-1-1-12-1-1-1-1-2-2-122-1-2-2-2-2-2-2000000-2211-1-11111110-222221100000000-1-2211-1-100-2001-1-1-1-1000001000
χ292222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-1002222222222-1-122-1-1-1-120000000-1-1-1-1-1-1-1-12-1-1-1-1-1-10002200000000000-1-10
χ302222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-120000000-1-1-1-1-1-1-1-1-2111111000-2-200000000000110
χ312222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1-20000000111111112-1-1-1-1-1-1000-2-200000000000110
χ322222-1222-1-1222-1-1-1-1-1222-1-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-2000000011111111-21111110002200000000000-1-10
χ332222-1222-1-1222-1-1-1-1-1-2-22-1-1211110022-2-2-2-22-222-1-1-2-2111120000000-1-1-1-11111-2-11-1-1110002-200000000000-110
χ342222-1222-1-1222-1-1-1-1-1-2-22-1-1211110022-2-2-2-2-22-2-2-1-1-2-2111120000000-1-1-1-1111121-111-1-1000-22000000000001-10
χ352222-1222-1-1222-1-1-1-1-1-2-22-1-12111100-2-222222-222-1-1-2-21111-200000001111-1-1-1-1-2-11-1-111000-22000000000001-10
χ362222-1222-1-1222-1-1-1-1-1-2-22-1-12111100-2-22222-22-2-2-1-1-2-21111-200000001111-1-1-1-121-111-1-10002-200000000000-110
χ372-22-2222-2-2-2-22-222-2-22002-22-20000000022-2-200002-2000000002i−2i0000000022-2-200000000000002i−2i0002i−2i000000
χ382-22-2222-2-2-2-22-222-2-22002-22-20000000022-2-200002-200000000−2i2i0000000022-2-20000000000000−2i2i000−2i2i000000
χ392-22-2222-2-2-2-22-222-2-22002-22-200000000-2-22200002-2000000002i−2i00000000-2-22200000000000002i−2i000−2i2i000000
χ402-22-2222-2-2-2-22-222-2-22002-22-200000000-2-22200002-200000000−2i2i00000000-2-2220000000000000−2i2i0002i−2i000000
χ412-2-2222002-2-2-22-222-2-22−2000022−2−22i−2i2-22−22−20000002−222−2−20000−i2i22i−2i2-2002−22−200000002i−2i000000−i2i2000−i2i20000
χ422-2-2222002-2-2-22-222-2-22−2000022−2−22i−2i-22−22−220000002−222−2−20000−i2i22i−2i-2200−22−220000000−2i2i000000−i2i2000i2−i20000
χ432-2-2222002-2-2-22-222-2-22−2000022−2−2−2i2i2-22−22−20000002−222−2−20000i2−i2−2i2i2-2002−22−20000000−2i2i000000i2−i2000i2−i20000
χ442-2-2222002-2-2-22-222-2-22−2000022−2−2−2i2i-22−22−220000002−222−2−20000i2−i2−2i2i-2200−22−2200000002i−2i000000i2−i2000−i2i20000
χ452-2-2222002-2-2-22-222-2-2−220000−2−2222i−2i2-2−22−22000000−22−2−2220000i2−i22i−2i2-200−22−2200000002i−2i000000i2−i2000i2−i20000
χ462-2-2222002-2-2-22-222-2-2−220000−2−2222i−2i-222−22−2000000−22−2−2220000i2−i22i−2i-22002−22−20000000−2i2i000000i2−i2000−i2i20000
χ472-2-2222002-2-2-22-222-2-2−220000−2−222−2i2i2-2−22−22000000−22−2−2220000−i2i2−2i2i2-200−22−220000000−2i2i000000−i2i2000−i2i20000
χ482-2-2222002-2-2-22-222-2-2−220000−2−222−2i2i-222−22−2000000−22−2−2220000−i2i2−2i2i-22002−22−200000002i−2i000000−i2i2000i2−i20000
χ4944444-2-4-444-2-2-24-2-2-2-2002-4-420000440000000000220000000-40000-2-20000000000000000000020000000000000
χ5044444-2-4-444-2-2-24-2-2-2-2002-4-420000-4-40000000000220000000400002200000000000000000000-20000000000000
χ514444-24-4-4-2-2444-2-2-2-2-200-422-4000000440000000022000000-40000000-2-222000000000000000000000000000000
χ524444-24-4-4-2-2444-2-2-2-2-200-422-4000000-4-400000000220000004000000022-2-2000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-100000000000000002-2211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-10000000000000000-22-2-1-1110000000000000000000
χ5744-4-44400-444-4-4-44-44-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ5844-4-44400-444-4-4-44-44-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ5944-4-4-24002-24-4-42-22-22000000i6−i6i6−i6000022−22−222200000000i6−i6i6−i60000000000−2i32i3−222−200000000000000000000000000
χ6044-4-4-24002-24-4-42-22-22000000i6−i6i6−i60000−222222−2200000000i6−i6i6−i600000000002i3−2i32−2−2200000000000000000000000000
χ6144-4-4-24002-24-4-42-22-22000000−i6i6−i6i6000022−22−222200000000−i6i6−i6i600000000002i3−2i3−222−200000000000000000000000000
χ6244-4-4-24002-24-4-42-22-22000000−i6i6−i6i60000−222222−2200000000−i6i6−i6i60000000000−2i32i32−2−2200000000000000000000000000
χ634-44-444-44-4-4-44-444-4-4400-44-440000000000000000-44000000000000000000000000000000000000000000000000
χ644-44-44-24-4-4-42-224-222-200-2-4420000000000000000-22000000004i−4i0000000000000000000000000−2i2i00000000000
χ654-44-44-24-4-4-42-224-222-200-2-4420000000000000000-2200000000−4i4i00000000000000000000000002i−2i00000000000
χ664-44-44-2-44-4-42-224-222-20024-4-200000000000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ674-44-44-2-44-4-42-224-222-20024-4-2000000000000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ684-44-4-244-422-44-4-2-222-20042-2-40000000044-4-40000-22000000000000000000-2-22200000000000000000000000000
χ694-44-4-244-422-44-4-2-222-20042-2-400000000-4-4440000-2200000000000000000022-2-200000000000000000000000000
χ704-44-4-24-4422-44-4-2-222-200-4-224−2i32i32i3−2i30000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000000
χ714-44-4-24-4422-44-4-2-222-200-4-2242i3−2i3−2i32i30000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ724-44-4-2-2-44222-22-21-1-11002-22-2−2i32i32i3−2i30000000000−2i32i3-1100i3−i3−i3i30000000000000000000i3−i33-30000000000000000000
χ734-44-4-2-2-44222-22-21-1-11002-22-2−2i32i32i3−2i300000000002i3−2i3-1100i3−i3−i3i30000000000000000000−i3i3-330000000000000000000
χ744-44-4-2-2-44222-22-21-1-11002-22-22i3−2i3−2i32i30000000000−2i32i3-1100−i3i3i3−i30000000000000000000i3−i3-330000000000000000000
χ754-44-4-2-2-44222-22-21-1-11002-22-22i3−2i3−2i32i300000000002i3−2i3-1100−i3i3i3−i30000000000000000000−i3i33-30000000000000000000
χ764-4-444-2004-422-2-4-2-22222−2200002222−22−224i−4i000000000000−22−2−2220000−2i22i2−2i2i00000000000000000000000i2−i2000000000
χ774-4-444-2004-422-2-4-2-22222−2200002222−22−22−4i4i000000000000−22−2−22200002i2−2i22i−2i00000000000000000000000−i2i2000000000
χ784-4-444-2004-422-2-4-2-222−22220000−22−2222224i−4i0000000000002−222−2−200002i2−2i2−2i2i00000000000000000000000−i2i2000000000
χ794-4-444-2004-422-2-4-2-222−22220000−22−222222−4i4i0000000000002−222−2−20000−2i22i22i−2i00000000000000000000000i2−i2000000000
χ804-4-44-2400-22-4-442-2-22222−220000−2−222004-422−2222−2200000022−22−2−22200000000-2200−22−2200000000000000000000000000
χ814-4-44-2400-22-4-442-2-22222−220000−2−22200-44−2222−222200000022−22−2−222000000002-2002−22−200000000000000000000000000
χ824-4-44-2400-22-4-442-2-222−2222000022−2−2004-4−2222−2222000000−222222−2−200000000-22002−22−200000000000000000000000000
χ834-4-44-2400-22-4-442-2-222−2222000022−2−200-4422−2222−22000000−222222−2−2000000002-200−22−2200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-88-400-88-444-8-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ8688-8-8-4-4004-4-44442-22-20000002i6−2i62i6−2i60000000000000000−i6i6−i6i6000000000000000000000000000000000000000000
χ8788-8-8-4-4004-4-44442-22-2000000−2i62i6−2i62i60000000000000000i6−i6i6−i6000000000000000000000000000000000000000000
χ888-88-8-4-48-8444-44-42-2-2200-44-4400000000000000002-2000000000000000000000000000000000000000000000000
χ898-8-88-4-400-4444-4422-2-242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ908-8-88-4-400-4444-4422-2-2−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000

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