Finite Group Databasebeta

← Group #11867191

Character table — Group #11867191

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666666688888888888888121212121212121212121616161616162424242424242424242424243636363648487272
order122233446666662346666612121212121222224444666624666661212121212121266888812121212666121212224466121224242424888861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11-1-1111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1111111-111-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111111-11-1-1-1111111-1-1111-1-111-1-111111-1-111-1-1-1-1-111-1-1-1-111-1-111-1-1111-1-1-111-1-111-1-111-1-111-1-11-11-1
χ1011111111111111-11-1-1-1111111-1-1111-1-111-1-111111-1-111-1-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-11-11-111-1-1-1-111-1-111-11-11
χ1111111111111111-11-1-1-1111111-1-1111-1-111-1-11111-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1111-1-111-1-11111-1-111-1-1-11-11
χ1211111111111111-11-1-1-1111111-1-1111-1-111-1-11111-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-11-11-1-111-1-111-1-1111-11-1
χ1311111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-11-1-111-1-1-1-1-111-1-11111-1-1-1-111111-1-1-1-11-11-1-11111-1-1-1-1111-1-11
χ1411111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-11-1-111-1-1-1-1-111-1-111-1-111-1-111111-1-1-1-1-111-1-111-1-11111-1-1-111-1
χ1511111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-1-11-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-11111-11-111-1-111-1-1-1-111-111-1
χ1611111111111111-11-1-1-1111111-1-11-1-111-1-111-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-111111-1-111-1-1-1-11111-1-11-1-11
χ17222222-2-222222222-222222-2-2-2-2-2-22222-2-2-2-222220020022-200-2-2-2-2220000-2-2-2-200000000000000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-20020022-200-2-2-2-2-2-20000222200000000000000000000000000
χ19222222-2-2222222-222-2-2222-2-2-222-222-2-2-2-222222200-200-2-2200-2-222-2-20000-2-22200000000000000000000000000
χ20222222-2-2222222-222-2-2222-2-2-222-2-2-22222-2-2-2-2-2-200-200-2-2200-2-22222000022-2-200000000000000000000000000
χ2122222-122-1222-1-12-12-1-1-1-1-12-1-1-1-1222222222-1-1-1-1222-1-1-1-12-1-1-1-1-1-1-1-10000-1-1-1-12-1-12-1-12002-1-1-1-1000000000000
χ2222222-122-1222-1-12-12-1-1-1-1-12-1-1-1-1222222222-1-1-1-1-2-2211-1-1211-1-1-1-1-1-10000-1-1-1-1-211-211-200-21111000000000000
χ2322222-122-1222-1-12-12-1-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-21111222-1-1-1-12-1-1-1-1-1-111000011112-1-12-1-1-200-21111000000000000
χ2422222-122-1222-1-12-12-1-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-21111-2-2211-1-1211-1-1-1-11100001111-211-2112002-1-1-1-1000000000000
χ2522222-122-1222-1-1-2-1-211-1-1-12-1-111222-2-222-2-2-1-1-1-12-2-2-1-111-211-1-111110000-1-1112-1-1-211200-2-1-111000000000000
χ2622222-122-1222-1-1-2-1-211-1-1-12-1-111222-2-222-2-2-1-1-1-1-22-21111-2-1-1-1-111110000-1-111-2112-1-1-200211-1-1000000000000
χ2722222-122-1222-1-1-2-1-211-1-1-12-1-1112-2-222-2-22211112-2-2-1-111-211-1-111-1-1000011-1-12-1-1-211-200211-1-1000000000000
χ2822222-122-1222-1-1-2-1-211-1-1-12-1-1112-2-222-2-2221111-22-21111-2-1-1-1-111-1-1000011-1-1-2112-1-1200-2-1-111000000000000
χ2922222-1-2-2-1222-1-12-1-2-1-1-1-1-1-21111-22222-2-2-2-2-1-1-1-1002−i3i3-1-1-2−i3i31111-1-1000011110−i3i30−i3i30000−i3i3−i3i3000000000000
χ3022222-1-2-2-1222-1-12-1-2-1-1-1-1-1-21111-22222-2-2-2-2-1-1-1-1002i3−i3-1-1-2i3−i31111-1-1000011110i3−i30i3−i30000i3−i3i3−i3000000000000
χ3122222-1-2-2-1222-1-12-1-2-1-1-1-1-1-21111-2-2-2-2-222221111002−i3i3-1-1-2−i3i31111110000-1-1-1-10−i3i30−i3i30000i3−i3i3−i3000000000000
χ3222222-1-2-2-1222-1-12-1-2-1-1-1-1-1-21111-2-2-2-2-222221111002i3−i3-1-1-2i3−i31111110000-1-1-1-10i3−i30i3−i30000−i3i3−i3i3000000000000
χ3322222-1-2-2-1222-1-1-2-1211-1-1-1-211-1-1-222-2-2-2-222-1-1-1-100-2−i3i3112i3−i311-1-111000011-1-10−i3i30i3−i30000−i3i3i3−i3000000000000
χ3422222-1-2-2-1222-1-1-2-1211-1-1-1-211-1-1-222-2-2-2-222-1-1-1-100-2i3−i3112−i3i311-1-111000011-1-10i3−i30−i3i30000i3−i3−i3i3000000000000
χ3522222-1-2-2-1222-1-1-2-1211-1-1-1-211-1-1-2-2-22222-2-2111100-2−i3i3112i3−i311-1-1-1-10000-1-1110−i3i30i3−i30000i3−i3−i3i3000000000000
χ3622222-1-2-2-1222-1-1-2-1211-1-1-1-211-1-1-2-2-22222-2-2111100-2i3−i3112−i3i311-1-1-1-10000-1-1110i3−i30−i3i30000−i3i3i3−i3000000000000
χ372222-12222-1-1-1222-1222-1-1-1-12222-100000000000022-122-1-1-122-1-1-1-10022220000-1-1-1-1-1-102200000-1-1-1-10000-1-100
χ382222-12222-1-1-1222-1222-1-1-1-12222-100000000000022-122-1-1-122-1-1-1-100-2-2-2-20000-1-1-1-1-1-10-2-200000111100001100
χ392222-12222-1-1-1222-1222-1-1-1-12222-1000000000000-2-2-1-2-2-1-1-1-2-2-1-1-1-100222200001111110-2-200000-1-1-1-100001100
χ402222-12222-1-1-1222-1222-1-1-1-12222-1000000000000-2-2-1-2-2-1-1-1-2-2-1-1-1-100-2-2-2-200001111110220000011110000-1-100
χ412222-12222-1-1-122-2-1-2-2-2-1-1-1-122-2-2-10000000000002-2122111-2-2-1-1110022-2-20000-1-1-111102-200000-1-1110000-1100
χ422222-12222-1-1-122-2-1-2-2-2-1-1-1-122-2-2-10000000000002-2122111-2-2-1-11100-2-2220000-1-1-11110-220000011-1-100001-100
χ432222-12222-1-1-122-2-1-2-2-2-1-1-1-122-2-2-1000000000000-221-2-211122-1-1110022-2-20000111-1-1-10-2200000-1-11100001-100
χ442222-12222-1-1-122-2-1-2-2-2-1-1-1-122-2-2-1000000000000-221-2-211122-1-11100-2-2220000111-1-1-102-20000011-1-10000-1100
χ452-22-2222-2-22-2-22-202000-22-222-200-22-2002-20022-2-200000000002-20000002i−2i2-20000000000000000002i−2i002i−2i0000
χ462-22-2222-2-22-2-22-202000-22-222-200-22-2002-20022-2-200000000002-2000000−2i2i2-2000000000000000000−2i2i00−2i2i0000
χ472-22-2222-2-22-2-22-202000-22-222-200-2-2200-2200-2-22200000000002-20000002i−2i-220000000000000000002i−2i00−2i2i0000
χ482-22-2222-2-22-2-22-202000-22-222-200-2-2200-2200-2-22200000000002-2000000−2i2i-22000000000000000000−2i2i002i−2i0000
χ492-22-222-22-22-2-22-202000-22-2-2-220022-200-220022-2-20000000000-2200002-200-2200000000000000002-2002-2000000
χ502-22-222-22-22-2-22-202000-22-2-2-220022-200-220022-2-20000000000-220000-2200-220000000000000000-2200-22000000
χ512-22-222-22-22-2-22-202000-22-2-2-22002-22002-200-2-2220000000000-2200002-2002-200000000000000002-200-22000000
χ522-22-222-22-22-2-22-202000-22-2-2-22002-22002-200-2-2220000000000-220000-22002-20000000000000000-22002-2000000
χ534444-24-4-44-2-2-2444-2-444-2-2-22-4-4-4-4200000000000000-200-2-22002222000000000000000000000000000000000000
χ544444-24-4-44-2-2-244-4-24-4-4-2-2-22-4-44420000000000000020022-20022-2-2000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000000044-2-2-211-2-2-211110000000000-211-21100000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2000000000000-4-4-22211-222111100000000002-1-12-1-100000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-222-20000000000004-42-2-2-1-122211-1-10000000000-2112-1-100000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-222-2000000000000-44222-1-12-2-211-1-100000000002-1-1-21100000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200000000000000-2−2i32i3112−2i32i3-1-1-1-100000000000i3−i30i3−i300000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200000000000000-22i3−2i31122i3−2i3-1-1-1-100000000000−i3i30−i3i300000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-41422111222-2-22000000000000002−2i32i3-1-1-22i3−2i3-1-11100000000000i3−i30−i3i300000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41422111222-2-220000000000000022i3−2i3-1-1-2−2i32i3-1-11100000000000−i3i30i3−i300000000000000000000
χ6344-4-444004-4-44-4-4040004-4-40000000000004i−4i000000000000000000000000004i−4i00000000000000000000000000
χ6444-4-444004-4-44-4-4040004-4-4000000000000−4i4i00000000000000000000000000−4i4i00000000000000000000000000
χ6544-4-44-200-2-4-44220-2000-22200023−2300000004i−4i−2i32i3−2i32i300000000000023−2300000000−2i2i00000000000000000000000000
χ6644-4-44-200-2-4-44220-2000-22200023−230000000−4i4i2i3−2i32i3−2i300000000000023−23000000002i−2i00000000000000000000000000
χ6744-4-44-200-2-4-44220-2000-222000−232300000004i−4i2i3−2i32i3−2i3000000000000−232300000000−2i2i00000000000000000000000000
χ6844-4-44-200-2-4-44220-2000-222000−23230000000−4i4i−2i32i3−2i32i3000000000000−2323000000002i−2i00000000000000000000000000
χ694-44-44-24-424-4-4-220-20002-224-2200-44-4004-400-2-2220000000000-2200000000-220000000000000000000000000000
χ704-44-44-24-424-4-4-220-20002-224-2200-4-4400-440022-2-20000000000-22000000002-20000000000000000000000000000
χ714-44-44-2-4424-4-4-220-20002-22-42-20044-400-4400-2-22200000000002-2000000002-20000000000000000000000000000
χ724-44-44-2-4424-4-4-220-20002-22-42-2004-44004-40022-2-200000000002-200000000-220000000000000000000000000000
χ734-44-4-244-4-4-2224-40-20002-22-24-40020000000000000000000000-220000004i−4i00000000000000000000−2i2i00000000
χ744-44-4-244-4-4-2224-40-20002-22-24-40020000000000000000000000-22000000−4i4i000000000000000000002i−2i00000000
χ754-44-4-24-44-4-2224-40-20002-222-4400-200000000000000000000002-200004-400000000000000000000-220000000000
χ764-44-4-24-44-4-2224-40-20002-222-4400-200000000000000000000002-20000-44000000000000000000002-20000000000
χ774-4-444400-4-44-4-4404000-4-44000000004-400000000000000000000004-40000000000000000000000000000000000
χ784-4-444400-4-44-4-4404000-4-4400000000-440000000000000000000000-440000000000000000000000000000000000
χ794-4-444-2002-44-42-20-20−2i32i322-2000000004-40000−2i32i32i3−2i300000−2i32i30000000-220000000000000000000000000000000000
χ804-4-444-2002-44-42-20-20−2i32i322-200000000-4400002i3−2i3−2i32i300000−2i32i300000002-20000000000000000000000000000000000
χ814-4-444-2002-44-42-20-202i3−2i322-2000000004-400002i3−2i3−2i32i3000002i3−2i30000000-220000000000000000000000000000000000
χ824-4-444-2002-44-42-20-202i3−2i322-200000000-440000−2i32i32i3−2i3000002i3−2i300000002-20000000000000000000000000000000000
χ8388-8-8-4800844-4-8-80-4000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-444-444020002-2-200043−430000000000000000000000000−2323000000000000000000000000000000000000
χ8588-8-8-4-400-444-444020002-2-2000−4343000000000000000000000000023−23000000000000000000000000000000000000
χ868-88-8-4-48-84-444-4402000-22-2-4-4400400000000000000000000002-200000000000000000000000000000000000000
χ878-88-8-4-4-884-444-4402000-22-244-400-40000000000000000000000-2200000000000000000000000000000000000000
χ888-8-88-4800-84-44-880-400044-400000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40044-444-4020−4i34i3-2-22000000000000000000000002i3−2i30000000000000000000000000000000000000000000
χ908-8-88-4-40044-444-40204i3−4i3-2-2200000000000000000000000−2i32i30000000000000000000000000000000000000000000

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