Finite Group Databasebeta

← Group #11898272

Character table — Group #11898272

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424244444888822661212242424242424444488121212121212242424246666666442221212122424444886662
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
χ3111111111111111111111111111111-1-111111111111111111-1-1-1-1-11111-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-11111-1-1-1-1111111111-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-11-1-11
χ51111111111111111111111111111-1-111-1-1-1-1111111111111-111111-1-1-1-111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-111-1-1-1111
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
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11-111-1-1111-1-1111-1-11-1-1-1-1-11-11
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-11111-1111-1-1-1-1111-1-11-11-1
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-1-11-111-1-1-1-11-11-1-1-111-1111111-1-1
χ12111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11-111111111-1-1-1-1-1-11-11-1-111-1-1-11-1-11111-1-1-111-1-111
χ13111111111111111111-1-11111-1-1-1-1-1-11111111-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-11-111-1-1-1-1-11-1111-1-1-11111-1-11-1
χ14111111111111111111-1-11111-1-1-1-1-1-1111111-11-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-11-1-111-1-11-111-1-1-1-1-1-1-11111-11
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-11-111-1-111-111-1-1-1111-1-1-1-11-111
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-111111-1-1-11111111-1-1-11-1-1
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-2000022-2-2220000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000-22000022-2-2-2-200000000000-2-200020000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-20000002-20000-2-2222200000000000-2-2000-20000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-2000000220000-2-222-2-2000000000002200020000-200000000
χ2122222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1220022222222-1-122-1-1-1-1200000-1-1-1-100-1-1-1-12-1-1-1-1-1-10022000000000000-1-10
χ2222222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-122002222-2-2-2-2-1-122-1-1-1-1200000-1-1-1-100-1-1-1-1-211111100-2-2000000000000110
χ2322222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-22222-1-122-1-1-1-1-20000011110011112-1-1-1-1-1-100-2-2000000000000110
χ2422222-1222-12-1-12-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-2-2-2-2-2-1-122-1-1-1-1-2000001111001111-21111110022000000000000-1-10
χ2522222-1222-12-1-12-1-1-1-1-2-22-1-1211112200-2-2-2-22-222-1-1-2-21111200000-1-1-1-1001111-2-11-1-111002-2000000000000-110
χ2622222-1222-12-1-12-1-1-1-1-2-22-1-1211112200-2-2-2-2-22-2-2-1-1-2-21111200000-1-1-1-100111121-111-1-100-220000000000001-10
χ2722222-1222-12-1-12-1-1-1-1-2-22-1-121111-2-20022222-222-1-1-2-21111-200000111100-1-1-1-1-2-11-1-11100-220000000000001-10
χ2822222-1222-12-1-12-1-1-1-1-2-22-1-121111-2-2002222-22-2-2-1-1-2-21111-200000111100-1-1-1-121-111-1-1002-2000000000000-110
χ292222-1222-12-122-1-1-1-1-122-122-122220022000022-1-1-1-1-1-1-1-1-1-10222220000-1-10000-122-1-1-1-100002-1-1-1-1-100000-1000
χ302222-1222-12-122-1-1-1-1-122-122-1222200220000-2-211-1-1-1-1-1-1-1-102-2-2220000-1-100001-2-211110000-2-111-1-1000001000
χ312222-1222-12-122-1-1-1-1-122-122-1222200-2-2000022-1-1-1-1-1-1-1-1-1-10-2-2-2-2-20000110000-122-1-1-1-10000-211111000001000
χ322222-1222-12-122-1-1-1-1-122-122-1222200-2-20000-2-211-1-1-1-1-1-1-1-10-222-2-200001100001-2-21111000021-1-11100000-1000
χ332222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-2002200002-2-1-1-1-11111110222-2-20000-1-1000012-2-1-1110000-2-1-1-111000001000
χ342222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-200220000-2211-1-111111102-2-2-2-20000-1-10000-1-2211-1-100002-1111100000-1000
χ352222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-200-2-200002-2-1-1-1-11111110-2-2-222000011000012-2-1-11100002111-1-100000-1000
χ362222-1222-12-122-1-1-1-1-1-2-2-122-1-2-2-2-200-2-20000-2211-1-11111110-222220000110000-1-2211-1-10000-21-1-1-1-1000001000
χ3722-2-2222-222-2-2-2-22-2-22002-22-20000000022-2-200002-2000000002i−2i0000000022-2-200000000000002i−2i0002i−2i000000
χ3822-2-2222-222-2-2-2-22-2-22002-22-20000000022-2-200002-200000000−2i2i0000000022-2-20000000000000−2i2i000−2i2i000000
χ3922-2-2222-222-2-2-2-22-2-22002-22-200000000-2-22200002-2000000002i−2i00000000-2-22200000000000002i−2i000−2i2i000000
χ4022-2-2222-222-2-2-2-22-2-22002-22-200000000-2-22200002-200000000−2i2i00000000-2-2220000000000000−2i2i0002i−2i000000
χ412-2-222200-2-2-22-2222-2-22−2000022−2−22-22-22−22−20000002−222−2−200002−22-2002-22−22−200000002-20000002−20002−20000
χ422-2-222200-2-2-22-2222-2-22−2000022−2−22-2-222−22−20000002−222−2−20000−222-200-222−22−20000000-22000000−22000−220000
χ432-2-222200-2-2-22-2222-2-22−2000022−2−2-222-2−22−220000002−222−2−200002−2-22002-2−22−220000000-220000002−2000−220000
χ442-2-222200-2-2-22-2222-2-22−2000022−2−2-22-22−22−220000002−222−2−20000−22-2200-22−22−2200000002-2000000−220002−20000
χ452-2-222200-2-2-22-2222-2-2−220000−2−2222-22-2−22−22000000−22−2−2220000−222-2002-2−22−2200000002-2000000−22000−220000
χ462-2-222200-2-2-22-2222-2-2−220000−2−2222-2-22−22−22000000−22−2−22200002−22-200-22−22−220000000-220000002−20002−20000
χ472-2-222200-2-2-22-2222-2-2−220000−2−222-222-22−22−2000000−22−2−2220000−22-22002-22−22−20000000-22000000−220002−20000
χ482-2-222200-2-2-22-2222-2-2−220000−2−222-22-222−22−2000000−22−2−22200002−2-2200-222−22−200000002-20000002−2000−220000
χ4944444-2-4-44-24-2-24-2-2-2-200-422-4000044000000000022000000-400000-2-22200000000000000000000000000000000
χ5044444-2-4-44-24-2-24-2-2-2-200-422-40000-4-400000000002200000040000022-2-200000000000000000000000000000000
χ514444-24-4-4-24-244-2-2-2-2-2002-4-420000004400000000220000000-400000000-2-2000000000000000020000000000000
χ524444-24-4-4-24-244-2-2-2-2-2002-4-42000000-4-400000000220000000400000000220000000000000000-20000000000000
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
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4-2-21122-1-1-1-100000000000000002-2211-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44221122-1-1-1-10000000000000000-22-2-1-1110000000000000000000
χ5744-4-444-4444-4-4-4-44-4-4400-44-440000000000000000-44000000000000000000000000000000000000000000000000
χ5844-4-44-24-44-2-422-4-222-20042-2-40000000044-4-40000-22000000000000000000-2-22200000000000000000000000000
χ5944-4-44-24-44-2-422-4-222-20042-2-400000000-4-4440000-2200000000000000000022-2-200000000000000000000000000
χ6044-4-44-2-444-2-422-4-222-200-4-224−2i32i3−2i32i30000000000002-200−2i32i3−2i32i3000000000000000000000000000000000000000000
χ6144-4-44-2-444-2-422-4-222-200-4-2242i3−2i32i3−2i30000000000002-2002i3−2i32i3−2i3000000000000000000000000000000000000000000
χ6244-4-4-244-4-242-4-42-222-200-2-4420000000000000000-22000000004i−4i0000000000000000000000000−2i2i00000000000
χ6344-4-4-244-4-242-4-42-222-200-2-4420000000000000000-2200000000−4i4i00000000000000000000000002i−2i00000000000
χ6444-4-4-24-44-242-4-42-222-20024-4-200000000000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ6544-4-4-24-44-242-4-42-222-20024-4-2000000000000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ6644-4-4-2-2-44-2-222221-1-11002-22-2−2i32i3−2i32i30000000000−2i32i3-1100i3−i3i3−i30000000000000000000i3−i33-30000000000000000000
χ6744-4-4-2-2-44-2-222221-1-11002-22-2−2i32i3−2i32i300000000002i3−2i3-1100i3−i3i3−i30000000000000000000−i3i3-330000000000000000000
χ6844-4-4-2-2-44-2-222221-1-11002-22-22i3−2i32i3−2i30000000000−2i32i3-1100−i3i3−i3i30000000000000000000i3−i3-330000000000000000000
χ6944-4-4-2-2-44-2-222221-1-11002-22-22i3−2i32i3−2i300000000002i3−2i3-1100−i3i3−i3i30000000000000000000−i3i33-30000000000000000000
χ704-44-44400-4-44-44-44-44-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ714-44-44400-4-44-44-44-44-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ724-44-44-200-4242-2-4-22-22000000i6−i6−i6i6000022−22−222200000000i6−i6−i6i600000000−2i32i300−222−200000000000000000000000000
χ734-44-44-200-4242-2-4-22-22000000i6−i6−i6i60000−222222−2200000000i6−i6−i6i6000000002i3−2i3002−2−2200000000000000000000000000
χ744-44-44-200-4242-2-4-22-22000000−i6i6i6−i6000022−22−222200000000−i6i6i6−i6000000002i3−2i300−222−200000000000000000000000000
χ754-44-44-200-4242-2-4-22-22000000−i6i6i6−i60000−222222−2200000000−i6i6i6−i600000000−2i32i3002−2−2200000000000000000000000000
χ764-4-444-200-42-4-224-2-22222−220000−2−2224-40022−2222−2200000022−22−2−222000000-220000−22−2200000000000000000000000000
χ774-4-444-200-42-4-224-2-22222−220000−2−222-4400−2222−222200000022−22−2−2220000002-200002−22−200000000000000000000000000
χ784-4-444-200-42-4-224-2-222−2222000022−2−24-400−2222−2222000000−222222−2−2000000-2200002−22−200000000000000000000000000
χ794-4-444-200-42-4-224-2-222−2222000022−2−2-440022−2222−22000000−222222−2−20000002-20000−22−2200000000000000000000000000
χ804-4-44-24002-424-4-2-2-22222−2200002222−22−22004-40000000000−22−2−222000022−220000-220000000000000000000−22000000000
χ814-4-44-24002-424-4-2-2-22222−2200002222−22−2200-440000000000−22−2−2220000−222200002-200000000000000000002−2000000000
χ824-4-44-24002-424-4-2-2-222−22220000−22−222222004-400000000002−222−2−20000−22220000-2200000000000000000002−2000000000
χ834-4-44-24002-424-4-2-2-222−22220000−22−22222200-4400000000002−222−2−2000022−2200002-20000000000000000000−22000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-48-8-4-444442-2-2200-44-4400000000000000002-2000000000000000000000000000000000000000000000000
χ868-88-8-48004-8-4-884-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-40044-44-442-22-20000002i6−2i6−2i62i60000000000000000−i6i6i6−i6000000000000000000000000000000000000000000
χ888-88-8-4-40044-44-442-22-2000000−2i62i62i6−2i60000000000000000i6−i6−i6i6000000000000000000000000000000000000000000
χ898-8-88-4-400444-44-422-2-242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ908-8-88-4-400444-44-422-2-2−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000

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