Finite Group Databasebeta

← Group #11887815

Character table — Group #11887815

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order122233446666663666881212121224242424224488884412121212242424242424244466668812122424242412121212121212444441212122424444881212122
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
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-111111-1-111-1-1-1-1-1-11111111-1-11-1-111111-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-111-1-1-1111
χ51111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-11111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111-1-1111111-1-1-1-1111111111-111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-111-1-11-1-11
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
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-111111111-1-111-1-1-1-11-1-111-1-111-11-1111-1-11-1-1-1-1-11-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-111-1-111111-111-1-1-1-1111-1-11-11-1
χ11111111111111111111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-1-1-111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-11111-1-11-1
χ12111111111111111111-1-11111-1-1-1-111-1-11111-11-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-111-1-111-1-111-11-1-1-1-1-1-1-11111-11
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1111111-1-1
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11-111-1-1111111-1-1-1-1-111-1-111-1-1-1-11-11111-1-1-111-1-111
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-1111-11-1-1-1111-1-1-1-11-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-11111-11-1-11111111-1-1-11-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-20022-2-200220000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-200222200-2-200000000000-2-2000-20000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-2200-2-2-2-2002200000000000-2-200020000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002200-2-22200-2-2000000000002200020000-200000000
χ2122222-1222-12-1-12-1-1-1-122-122-1-1-1-1-1002222222222-1-122-1-1-1-1200000-1-100-1-1-1-1-1-1-1-12-1-1-1-10002200000000000-1-10
χ2222222-1222-12-1-12-1-1-1-122-122-1-1-1-1-100222222-2-2-2-2-1-122-1-1-1-1200000-1-100-1-1-1-1-1-111-21111000-2-200000000000110
χ2322222-1222-12-1-12-1-1-1-122-122-1-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1-2000001100111111-1-12-1-1-1-1000-2-200000000000110
χ2422222-1222-12-1-12-1-1-1-122-122-1-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-200000110011111111-211110002200000000000-1-10
χ2522222-1222-12-1-12-1-1-1-1-2-2-122-111110022-2-2-2-22-222-1-1-2-21111200000-1-100-1-11111-11-2-1-1110002-200000000000-110
χ2622222-1222-12-1-12-1-1-1-1-2-2-122-111110022-2-2-2-2-22-2-2-1-1-2-21111200000-1-100-1-111111-1211-1-1000-22000000000001-10
χ2722222-1222-12-1-12-1-1-1-1-2-2-122-1111100-2-222222-222-1-1-2-21111-200000110011-1-1-1-1-11-2-1-111000-22000000000001-10
χ2822222-1222-12-1-12-1-1-1-1-2-2-122-1111100-2-22222-22-2-2-1-1-2-21111-200000110011-1-1-1-11-1211-1-10002-200000000000-110
χ292222-1222-12-122-1-1-1-1-1222-1-1222222200000022-1-1-1-1-1-1-1-1-1-10222-1-1002200000022-1-1-1-1-100200-1-1-1-1-100000-1000
χ302222-1222-12-122-1-1-1-1-1222-1-12222222000000-2-211-1-1-1-1-1-1-1-102-2-2-1-10022000000-2-21111100-200-111-1-1000001000
χ312222-1222-12-122-1-1-1-1-1222-1-122222-2-200000022-1-1-1-1-1-1-1-1-1-10-2-2-21100-2-200000022-1-1-1-1-100-20011111000001000
χ322222-1222-12-122-1-1-1-1-1222-1-122222-2-2000000-2-211-1-1-1-1-1-1-1-10-2221100-2-2000000-2-211111002001-1-11100000-1000
χ332222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2220000002-2-1-1-1-11111110222-1-100-2-20000002-21-1-11100-200-1-1-111000001000
χ342222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-222000000-2211-1-111111102-2-2-1-100-2-2000000-22-111-1-100200-1111100000-1000
χ352222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-2-20000002-2-1-1-1-11111110-2-2-21100220000002-21-1-11100200111-1-100000-1000
χ362222-1222-12-122-1-1-1-1-1-2-22-1-12-2-2-2-2-2-2000000-2211-1-11111110-222110022000000-22-111-1-100-2001-1-1-1-1000001000
χ372-22-2222-2-2-2-22-222-2-22002-22-2000000002i2i−2i−2i00002-2000000002-2000000002i2i−2i−2i00000000000002-20002i−2i000000
χ382-22-2222-2-2-2-22-222-2-22002-22-2000000002i2i−2i−2i00002-200000000-22000000002i2i−2i−2i0000000000000-22000−2i2i000000
χ392-22-2222-2-2-2-22-222-2-22002-22-200000000−2i−2i2i2i00002-2000000002-200000000−2i−2i2i2i00000000000002-2000−2i2i000000
χ402-22-2222-2-2-2-22-222-2-22002-22-200000000−2i−2i2i2i00002-200000000-2200000000−2i−2i2i2i0000000000000-220002i−2i000000
χ412-2-2222002-2-2-22-222-2-22−2000022−2−22-22i−2i−i2i2−i2i20000002−222−2−200002-2002−22i−2i−i2i2−i2i200000002i−2i0000002−2000−i2i20000
χ422-2-2222002-2-2-22-222-2-22−2000022−2−22-2−2i2ii2−i2i2−i20000002−222−2−200002-2002−2−2i2ii2−i2i2−i20000000−2i2i0000002−2000i2−i20000
χ432-2-2222002-2-2-22-222-2-22−2000022−2−2-222i−2i−i2i2−i2i20000002−222−2−20000-2200−222i−2i−i2i2−i2i20000000−2i2i000000−22000i2−i20000
χ442-2-2222002-2-2-22-222-2-22−2000022−2−2-22−2i2ii2−i2i2−i20000002−222−2−20000-2200−22−2i2ii2−i2i2−i200000002i−2i000000−22000−i2i20000
χ452-2-2222002-2-2-22-222-2-2−220000−2−2222-22i−2ii2−i2i2−i2000000−22−2−22200002-200−222i−2ii2−i2i2−i200000002i−2i000000−22000i2−i20000
χ462-2-2222002-2-2-22-222-2-2−220000−2−2222-2−2i2i−i2i2−i2i2000000−22−2−22200002-200−22−2i2i−i2i2−i2i20000000−2i2i000000−22000−i2i20000
χ472-2-2222002-2-2-22-222-2-2−220000−2−222-222i−2ii2−i2i2−i2000000−22−2−2220000-22002−22i−2ii2−i2i2−i20000000−2i2i0000002−2000−i2i20000
χ482-2-2222002-2-2-22-222-2-2−220000−2−222-22−2i2i−i2i2−i2i2000000−22−2−2220000-22002−2−2i2i−i2i2−i2i200000002i−2i0000002−2000i2−i20000
χ4944444-2-4-44-24-2-24-2-2-2-2002-4-42000000440000000022000000-4000002200-2-2000000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-2-2-2002-4-42000000-4-40000000022000000400000-2-20022000000000000000000000000000000
χ514444-24-4-4-24-244-2-2-2-2-200-422-40000440000000000220000000-400-2-2000000000000000000000020000000000000
χ524444-24-4-4-24-244-2-2-2-2-200-422-40000-4-40000000000220000000400220000000000000000000000-20000000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-10000000000000000-22211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-100000000000000002-2-2-1-1110000000000000000000
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
χ5944-4-44-200-4-2422-4-22-22000000i6−i6i6−i6000022−22−222200000000i6−i6i6−i6000000−2i32i30000−222−200000000000000000000000000
χ6044-4-44-200-4-2422-4-22-22000000i6−i6i6−i60000−222222−2200000000i6−i6i6−i60000002i3−2i300002−2−2200000000000000000000000000
χ6144-4-44-200-4-2422-4-22-22000000−i6i6−i6i6000022−22−222200000000−i6i6−i6i60000002i3−2i30000−222−200000000000000000000000000
χ6244-4-44-200-4-2422-4-22-22000000−i6i6−i6i60000−222222−2200000000−i6i6−i6i6000000−2i32i300002−2−2200000000000000000000000000
χ634-44-444-44-4-4-44-444-4-4400-44-440000000000000000-44000000000000000000000000000000000000000000000000
χ644-44-44-24-4-42-4-224-222-200-2-442000000004i4i−4i−4i0000-22000000000000000000−2i−2i2i2i00000000000000000000000000
χ654-44-44-24-4-42-4-224-222-200-2-44200000000−4i−4i4i4i0000-220000000000000000002i2i−2i−2i00000000000000000000000000
χ664-44-44-2-44-42-4-224-222-20024-4-2−2i32i32i3−2i30000000000002-200−2i32i32i3−2i3000000000000000000000000000000000000000000
χ674-44-44-2-44-42-4-224-222-20024-4-22i3−2i3−2i32i30000000000002-2002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ684-44-4-244-42-424-4-2-222-20042-2-40000000000000000-22000000004-40000000000000000000000000-2200000000000
χ694-44-4-244-42-424-4-2-222-20042-2-40000000000000000-2200000000-4400000000000000000000000002-200000000000
χ704-44-4-24-442-424-4-2-222-200-4-22400000000000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ714-44-4-24-442-424-4-2-222-200-4-224000000000000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
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
χ764-4-444-20042-42-2-4-2-22222−220000−2−222004i−4i−2i22i2−2i22i200000022−22−2−2220000000000−2i2ii2−i2i2−i200000000000000000000000000
χ774-4-444-20042-42-2-4-2-22222−220000−2−22200−4i4i2i2−2i22i2−2i200000022−22−2−22200000000002i−2i−i2i2−i2i200000000000000000000000000
χ784-4-444-20042-42-2-4-2-222−2222000022−2−2004i−4i2i2−2i22i2−2i2000000−222222−2−20000000000−2i2i−i2i2−i2i200000000000000000000000000
χ794-4-444-20042-42-2-4-2-222−2222000022−2−200−4i4i−2i22i2−2i22i2000000−222222−2−200000000002i−2ii2−i2i2−i200000000000000000000000000
χ804-4-44-2400-2-42-442-2-22222−2200002222−22−224-4000000000000−22−2−2220000-220022−22000000000000000000000−22000000000
χ814-4-44-2400-2-42-442-2-22222−2200002222−22−22-44000000000000−22−2−22200002-200−22220000000000000000000002−2000000000
χ824-4-44-2400-2-42-442-2-222−22220000−22−2222224-40000000000002−222−2−20000-2200−22220000000000000000000002−2000000000
χ834-4-44-2400-2-42-442-2-222−22220000−22−222222-440000000000002−222−2−200002-20022−22000000000000000000000−22000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-480048-4-8-84-44-44000000000000000000000000000000000000000000000000000000000000000000000000
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).