Finite Group Databasebeta

← Group #11874440

Character table — Group #11874440

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222222222333344444444444444666666888888888888881212121212121212121212121616161616162424242424242424242424243636363648487272
order1222334466666644443446661212121212121212221212121224661212121212121212121244668888121212126661212122444661212242424248888121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1111-1-1-1-111111111111-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1-11111-1-111-1-11-11-1
χ61111111111111111111-1-1111-1-1-1-111111111111-111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-111-11-11
χ71111111111111111111-1-1111-1-1-1-11111111111-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1111-1-111-1-111-1-1-11-11
χ81111111111111111111-1-1111-1-1-1-11111111111-11-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-11111-11-111-1-1-1-111-1-1111-11-1
χ911111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111-1-1-1-111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ1211111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ1311111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-111-1-11111111-1-1-11-11-111-1-111-1-1-1-1111-1-11
χ1411111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-11-1-1111-1-1-1-11111-1-1-111-1
χ1511111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1111-11-11-1-11111-1-1-1-111-111-1
χ1611111111111111-1-1-1-11-1-1111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1111-111-1-1-111-1-11111-1-11-1-11
χ17222222-2-2222222222222-222222-2-2-2-2-2-2-2-2222200002-20022-2-2-2-22-2-2-2000022-2-200000000000000000000000000
χ18222222-2-222222222222-22222-2-222-2-2-2-2-2-222220000-2200-2-222-2-2-22-2-20000-2-22200000000000000000000000000
χ19222222-2-2222222-2-2-2-222-222222-2-2-2-2-2-222-2-2-2-200002-20022-2-2-2-2-22220000-2-22200000000000000000000000000
χ20222222-2-2222222-2-2-2-22-22222-2-222-2-2-2-222-2-2-2-20000-2200-2-222-2-22-222000022-2-200000000000000000000000000
χ2122222-12222-1-1-122222-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-10000-1-1-1-12-1-12-1-12200-1-1-1-1000000000000
χ2222222-12222-1-1-122222-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2112211-1-1-1-1-1-122-1-10000-1-1-1-1-211-211-2-2001111000000000000
χ2322222-12222-1-1-122222-1-2-2-1-1-11111-1-12222-1-1-1-12-2-1-1-2-2111111-1-1-2-2-1-1000011112-1-1-211-220011-1-1000000000000
χ2422222-12222-1-1-122222-1-2-2-1-1-11111-1-12222-1-1-1-1-2211-2-2-1-11111-1-1-2-2-1-100001111-2112-1-12-200-1-111000000000000
χ2522222-12222-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-2111122-1-122-1-1-1-1-1-1-1-1-2-211000011112-1-12-1-1-2-2001111000000000000
χ2622222-12222-1-1-12-2-2-2-2-122-1-1-1-1-1-1-1-1-122-2-21111-2-2112211-1-1-1-1-1-1-2-21100001111-211-2112200-1-1-1-1000000000000
χ2722222-12222-1-1-12-2-2-2-2-1-2-2-1-1-11111-1-122-2-211112-2-1-1-2-2111111-1-122110000-1-1-1-12-1-1-2112-200-1-111000000000000
χ2822222-12222-1-1-12-2-2-2-2-1-2-2-1-1-11111-1-122-2-21111-2211-2-2-1-11111-1-122110000-1-1-1-1-2112-1-1-220011-1-1000000000000
χ2922222-1-2-222-1-1-122222-12-2-1-1-1-1-11111-2-2-2-2-1-1-1-100−i3i32-2−i3i3-1-111112-2110000-1-1110−i3i30−i3i30000−i3i3−i3i3000000000000
χ3022222-1-2-222-1-1-122222-12-2-1-1-1-1-11111-2-2-2-2-1-1-1-100i3−i32-2i3−i3-1-111112-2110000-1-1110i3−i30i3−i30000i3−i3i3−i3000000000000
χ3122222-1-2-222-1-1-122222-1-22-1-1-111-1-111-2-2-2-2-1-1-1-100−i3i3-22i3−i311-1-111-2211000011-1-10−i3i30i3−i30000i3−i3−i3i3000000000000
χ3222222-1-2-222-1-1-122222-1-22-1-1-111-1-111-2-2-2-2-1-1-1-100i3−i3-22−i3i311-1-111-2211000011-1-10i3−i30−i3i30000−i3i3i3−i3000000000000
χ3322222-1-2-222-1-1-12-2-2-2-2-12-2-1-1-1-1-11111-2-222111100−i3i32-2−i3i3-1-11111-22-1-1000011-1-10−i3i30−i3i30000i3−i3i3−i3000000000000
χ3422222-1-2-222-1-1-12-2-2-2-2-12-2-1-1-1-1-11111-2-222111100i3−i32-2i3−i3-1-11111-22-1-1000011-1-10i3−i30i3−i30000−i3i3−i3i3000000000000
χ3522222-1-2-222-1-1-12-2-2-2-2-1-22-1-1-111-1-111-2-222111100−i3i3-22i3−i311-1-1112-2-1-10000-1-1110−i3i30i3−i30000−i3i3i3−i3000000000000
χ3622222-1-2-222-1-1-12-2-2-2-2-1-22-1-1-111-1-111-2-222111100i3−i3-22−i3i311-1-1112-2-1-10000-1-1110i3−i30−i3i30000i3−i3−i3i3000000000000
χ372222-1222-1-1222-10000-122-1-1-1222222-1-10000002222-1-122-1-1-1-1-1-1000022220000-1-1-1-1-1-100220000-1-1-1-10000-1-100
χ382222-1222-1-1222-10000-122-1-1-1222222-1-10000002222-1-122-1-1-1-1-1-10000-2-2-2-20000-1-1-1-1-1-100-2-20000111100001100
χ392222-1222-1-1222-10000-122-1-1-1222222-1-1000000-2-2-2-2-1-1-2-2-1-1-1-1-1-100002222000011111100-2-20000-1-1-1-100001100
χ402222-1222-1-1222-10000-122-1-1-1222222-1-1000000-2-2-2-2-1-1-2-2-1-1-1-1-1-10000-2-2-2-200001111110022000011110000-1-100
χ412222-1222-1-1222-10000-1-2-2-1-1-1-2-2-2-222-1-10000002-22211-2-21111-1-1000022-2-20000-1-1-1111002-20000-1-1110000-1100
χ422222-1222-1-1222-10000-1-2-2-1-1-1-2-2-2-222-1-10000002-22211-2-21111-1-10000-2-2220000-1-1-111100-22000011-1-100001-100
χ432222-1222-1-1222-10000-1-2-2-1-1-1-2-2-2-222-1-1000000-22-2-211221111-1-1000022-2-20000111-1-1-100-220000-1-11100001-100
χ442222-1222-1-1222-10000-1-2-2-1-1-1-2-2-2-222-1-1000000-22-2-211221111-1-10000-2-2220000111-1-1-1002-2000011-1-10000-1100
χ452-2-22222-2-2-2-2-22222-2-2200-2-2200002-22-22-222-2-20000000000002-2002-2002-2000000000000000000002-2002-20000
χ462-2-22222-2-2-2-2-22222-2-2200-2-2200002-22-22-222-2-20000000000002-2002-200-2200000000000000000000-2200-220000
χ472-2-22222-2-2-2-2-222-2-222200-2-2200002-22-2-22-2-2220000000000002-200-22002-2000000000000000000002-200-220000
χ482-2-22222-2-2-2-2-222-2-222200-2-2200002-22-2-22-2-2220000000000002-200-2200-2200000000000000000000-22002-20000
χ492-2-2222-22-2-2-2-22222-2-2200-2-220000-22-22-2222-2-2000000000000-2200-222-2000000000000000000002-2002-2000000
χ502-2-2222-22-2-2-2-22222-2-2200-2-220000-22-22-2222-2-2000000000000-2200-22-2200000000000000000000-2200-22000000
χ512-2-2222-22-2-2-2-222-2-222200-2-220000-22-222-2-2-222000000000000-22002-22-2000000000000000000002-200-22000000
χ522-2-2222-22-2-2-2-222-2-222200-2-220000-22-222-2-2-222000000000000-22002-2-2200000000000000000000-22002-2000000
χ534444-24-4-4-2-2444-20000-24-4-2-2-244-4-4-4-4220000000000-2200-2-2222200000000000000000000000000000000000000
χ544444-24-4-4-2-2444-20000-2-44-2-2-2-4-444-4-42200000000002-20022-2-22200000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-200000044-2-2-2-2-2-2111111000000000000-211-21100000000000000000000
χ564444-2-244-2-2-2-2-2-20000144111-2-2-2-2-2-2-2-2000000-4-422-2-2221111110000000000002-1-12-1-100000000000000000000
χ574444-2-244-2-2-2-2-2-200001-4-41112222-2-2-2-20000004-4-2-22222-1-1-1-111000000000000-2112-1-100000000000000000000
χ584444-2-244-2-2-2-2-2-200001-4-41112222-2-2-2-2000000-442222-2-2-1-1-1-1110000000000002-1-1-21100000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-2000014-4111-2-222222200000000−2i32i3-22−2i32i311-1-1-1-10000000000000i3−i30i3−i300000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-2000014-4111-2-2222222000000002i3−2i3-222i3−2i311-1-1-1-10000000000000−i3i30−i3i300000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-200001-4411122-2-2222200000000−2i32i32-22i3−2i3-1-111-1-10000000000000i3−i30−i3i300000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-200001-4411122-2-22222000000002i3−2i32-2−2i32i3-1-111-1-10000000000000−i3i30i3−i300000000000000000000
χ6344-4-444004-44-4-4-44i−4i4i−4i4004-4-400000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000
χ6444-4-444004-44-4-4-4−4i4i−4i4i4004-4-40000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000
χ6544-4-44-2004-4-222-44i−4i4i−4i-200-2220023−23000000−2i2i−2i2i000000000023−23000000000000−2i32i300000000000000000000000000
χ6644-4-44-2004-4-222-44i−4i4i−4i-200-22200−2323000000−2i2i−2i2i0000000000−23230000000000002i3−2i300000000000000000000000000
χ6744-4-44-2004-4-222-4−4i4i−4i4i-200-2220023−230000002i−2i2i−2i000000000023−230000000000002i3−2i300000000000000000000000000
χ6844-4-44-2004-4-222-4−4i4i−4i4i-200-22200−23230000002i−2i2i−2i0000000000−2323000000000000−2i32i300000000000000000000000000
χ694-44-44400-44-44-4-44i−4i−4i4i400-44-400000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ704-44-44400-44-44-4-4−4i4i4i−4i400-44-40000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ714-44-44-200-442-22-44i−4i−4i4i-2002-2223−2300000000−2i2i2i−2i0000000023−23000000000000−2i32i30000000000000000000000000000
χ724-44-44-200-442-22-44i−4i−4i4i-2002-22−232300000000−2i2i2i−2i00000000−23230000000000002i3−2i30000000000000000000000000000
χ734-44-44-200-442-22-4−4i4i4i−4i-2002-2223−23000000002i−2i−2i2i0000000023−230000000000002i3−2i30000000000000000000000000000
χ744-44-44-200-442-22-4−4i4i4i−4i-2002-22−2323000000002i−2i−2i2i00000000−2323000000000000−2i32i30000000000000000000000000000
χ754-4-444-24-4-4-422-2444-4-4-20022-20000-224-44-4-2-222000000000000-2200-220000000000000000000000000000000000
χ764-4-444-24-4-4-422-24-4-444-20022-20000-224-4-4422-2-2000000000000-22002-20000000000000000000000000000000000
χ774-4-444-2-44-4-422-2444-4-4-20022-200002-2-44-44-2-2220000000000002-2002-20000000000000000000000000000000000
χ784-4-444-2-44-4-422-24-4-444-20022-200002-2-444-422-2-20000000000002-200-220000000000000000000000000000000000
χ794-4-44-244-422-4-44-20000-20022-200004-4-22000000000000000000-220000004-400000000000000000000-2200000000
χ804-4-44-244-422-4-44-20000-20022-200004-4-22000000000000000000-22000000-44000000000000000000002-200000000
χ814-4-44-24-4422-4-44-20000-20022-20000-442-20000000000000000002-200004-400000000000000000000-220000000000
χ824-4-44-24-4422-4-44-20000-20022-20000-442-20000000000000000002-20000-44000000000000000000002-20000000000
χ8388-8-8-4800-448-8-840000-400-444000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-44-444400002002-2-20043−4300000000000000000000−23230000000000000000000000000000000000000000
χ8588-8-8-4-400-44-444400002002-2-200−43430000000000000000000023−230000000000000000000000000000000000000000
χ868-88-8-48004-4-88-840000-4004-44000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-44-4440000200-22-243−4300000000000000000000−2323000000000000000000000000000000000000000000
χ888-88-8-4-4004-44-4440000200-22-2−43430000000000000000000023−23000000000000000000000000000000000000000000
χ898-8-88-4-48-84444-4-40000200-2-220000-44-440000000000000000002-200000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-40000200-2-2200004-44-4000000000000000000-2200000000000000000000000000000000000000

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