Finite Group Databasebeta

← Group #11867799

Character table — Group #11867799

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order122233446666662346666612121212121222448888446661212121212121212122466881212242424242424242412121212121224446661212128888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1111-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1111-1-11-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111-1-1111-1-11-1-11111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1111111-1-1
χ911111111111111-11-1-1-1111111-1-11111111111-1-1-1-111-1-1-111-1-1-1-111-1-1111111-1-1-1-11-111-1-1-11-11-1-1-111-111-1-1-11-11
χ1011111111111111-11-1-1-1111111-1-1111111111-11-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-11-1-1111-11-1-111-1-1-111-1-11-11-1
χ1111111111111111-11-1-1-1111111-1-111111-1-1-1-11-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111111-111-1-1-111-1-1-1-111-1-1-1111-11-1
χ1211111111111111-11-1-1-1111111-1-111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-11-1-1111-1-11-111-1-1-1-1-111-11-11
χ1311111111111111-11-1-1-1111111-1-11-1-1-1-111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-11-1-11111-1-11-1-111-111-1
χ1411111111111111-11-1-1-1111111-1-11-1-1-1-11111-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111-111-11-1-1111-1-1111-1-11
χ1511111111111111-11-1-1-1111111-1-11-1-1-1-1-1-1-1-11-1-1-1-111-1-1-111-1-111-1-111-1-1-1-1-1-111111-111-1-11-11-1111-1-1111-1-11-1-11
χ1611111111111111-11-1-1-1111111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-111-11-111-1-111111-1-1-111-1
χ17222222-2-222222222-222222-2-2-2-2-2-222-2-200000022200-200-2-2-2-2-222200-2-2000000000000000000-20000200000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-22200000022200-200-2-2-2-22-2-2-2002200000000000000000020000-200000000
χ19222222-2-2222222-222-2-2222-2-2-222-222-2-2000000-2-2-200200-2-2222-22200-2-200000000000000000020000-200000000
χ20222222-2-2222222-222-2-2222-2-2-222-2-2-222000000-2-2-200200-2-222-22-2-20022000000000000000000-20000200000000
χ2122222-1222-12-12-12-1222-1-1-12-1-12222222000022-1-1-1-1-1-1-1-1-1-1-1-122-1-100-1-10000000022-1-1-1-12200-1-1-1-1-1-100000000
χ2222222-1222-12-12-12-1222-1-1-12-1-122222220000-2-2-1-1-111-111-1-1-1-122-1-100-1-100000000-2-21111-2-200-11111-100000000
χ2322222-1222-12-12-12-1222-1-1-12-1-1222-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-2-21100110000000022-1-1-1-1-2-20011111100000000
χ2422222-1222-12-12-12-1222-1-1-12-1-1222-2-2-2-20000-2-2-1-1-111-111-1-1-1-1-2-211001100000000-2-2111122001-1-1-1-1100000000
χ2522222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-22222200002-2111-1-1111-1-111-2-2-1-100-1-1000000002-2-1-111-2200111-1-1100000000
χ2622222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-2222220000-22111111-1-1-1-111-2-2-1-100-1-100000000-2211-1-12-2001-1-111100000000
χ2722222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-22-2-2-2-200002-2111-1-1111-1-11122110011000000002-2-1-1112-200-1-1-111-100000000
χ2822222-1222-12-12-1-2-1-2-2-2-1-1-12-1-1-2-22-2-2-2-20000-22111111-1-1-1-1112211001100000000-2211-1-1-2200-111-1-1-100000000
χ2922222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-222-2-2000000-1-1-1−i3i31−i3i31111-22-1-100110000000000−i3i3−i3i300001−i3i3−i3i3-100000000
χ3022222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-222-2-2000000-1-1-1i3−i31i3−i31111-22-1-100110000000000i3−i3i3−i300001i3−i3i3−i3-100000000
χ3122222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-2-2-222000000-1-1-1−i3i31−i3i311112-21100-1-10000000000−i3i3−i3i30000-1i3−i3i3−i3100000000
χ3222222-1-2-22-12-12-12-1-222-1-1-1-211-2-2-2-2-222000000-1-1-1i3−i31i3−i311112-21100-1-10000000000i3−i3i3−i30000-1−i3i3−i3i3100000000
χ3322222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-222-2-2000000111−i3i3-1i3−i311-1-12-2-1-100110000000000−i3i3i3−i30000-1i3−i3−i3i3100000000
χ3422222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-222-2-2000000111i3−i3-1−i3i311-1-12-2-1-100110000000000i3−i3−i3i30000-1−i3i3i3−i3100000000
χ3522222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-2-2-222000000111−i3i3-1i3−i311-1-1-221100-1-10000000000−i3i3i3−i300001−i3i3i3−i3-100000000
χ3622222-1-2-22-12-12-1-2-12-2-2-1-1-1-21122-2-2-222000000111i3−i3-1−i3i311-1-1-221100-1-10000000000i3−i3−i3i300001i3−i3−i3i3-100000000
χ372222-1222-12-12-122-12-1-1-1-1-1-122-1-1-100002222222-1-122222-1-1-1-100002200-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000000-1-100
χ382222-1222-12-12-122-12-1-1-1-1-1-122-1-1-100002222-2-22-1-1-2-22-2-2-1-1-1-100002200-1-1-1-1-1-1-1-111111100-2-200000000001100
χ392222-1222-12-12-122-12-1-1-1-1-1-122-1-1-10000-2-2-2-2222-1-122222-1-1-1-10000-2-20011111111-1-1-1-1-1-100-2-200000000001100
χ402222-1222-12-12-122-12-1-1-1-1-1-122-1-1-10000-2-2-2-2-2-22-1-1-2-22-2-2-1-1-1-10000-2-2001111111111111100220000000000-1-100
χ412222-1222-12-12-12-2-1-211-1-1-1-12211-1000022222-2-21122-2-2-2-1-1110000-2-200-1-1-1-11111-11-1-11100-2200000000001-100
χ422222-1222-12-12-12-2-1-211-1-1-1-12211-100002222-22-211-2-2-222-1-1110000-2-200-1-1-1-111111-111-1-1002-20000000000-1100
χ432222-1222-12-12-12-2-1-211-1-1-1-12211-10000-2-2-2-22-2-21122-2-2-2-1-111000022001111-1-1-1-1-11-1-111002-20000000000-1100
χ442222-1222-12-12-12-2-1-211-1-1-1-12211-10000-2-2-2-2-22-211-2-2-222-1-111000022001111-1-1-1-11-111-1-100-2200000000001-100
χ452-2-22222-2-2-2-2-22202000-2-2222-200-22-22-22i2i−2i−2i00000000002-200002-2002-22i2i−2i−2i000000000000000000002i−2i000000
χ462-2-22222-2-2-2-2-22202000-2-2222-200-22-22-2−2i−2i2i2i00000000002-200002-2002-2−2i−2i2i2i00000000000000000000−2i2i000000
χ472-2-22222-2-2-2-2-22202000-2-2222-200-2-22-222i2i−2i−2i00000000002-20000-2200-222i2i−2i−2i00000000000000000000−2i2i000000
χ482-2-22222-2-2-2-2-22202000-2-2222-200-2-22-22−2i−2i2i2i00000000002-20000-2200-22−2i−2i2i2i000000000000000000002i−2i000000
χ492-2-2222-22-2-2-2-22202000-2-22-2-220022-2-2200000000000000-2200002-22-2-22000022-2-20000000000000000002-20000
χ502-2-2222-22-2-2-2-22202000-2-22-2-220022-2-2200000000000000-2200002-2-22-220000-2-222000000000000000000-220000
χ512-2-2222-22-2-2-2-22202000-2-22-2-22002-222-200000000000000-220000-222-22-2000022-2-2000000000000000000-220000
χ522-2-2222-22-2-2-2-22202000-2-22-2-22002-222-200000000000000-220000-22-222-20000-2-2220000000000000000002-20000
χ534444-24-4-4-24-24-244-2-4-2-2-2-2-22-4-422200000000004-2-200-40022220000000000000000000000000000000000000000
χ544444-24-4-4-24-24-24-4-2422-2-2-22-4-4-2-220000000000-4220040022-2-20000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20000000044-211-2-2-2-2-211110000000000000000-2-21111000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000-4-4-21122-2221111000000000000000022-1-1-1-1000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-2-2-222-2000000004-42-1-1-2-222211-1-10000000000000000-2211-1-1000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-2-2-222-200000000-442-1-1222-2-211-1-100000000000000002-2-1-111000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000000000-211−2i32i32−2i32i3-1-1-1-1000000000000000000i3−i3i3−i3000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000000000-2112i3−2i322i3−2i3-1-1-1-1000000000000000000−i3i3−i3i3000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-41422111222-2-2200000000002-1-1−2i32i3-22i3−2i3-1-111000000000000000000i3−i3−i3i3000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-41422111222-2-2200000000002-1-12i3−2i3-2−2i32i3-1-111000000000000000000−i3i3i3−i3000000000000000000
χ6344-4-44400-4-444-4-404000-44-40000000000−2i22i2−2i22i20000000000000000000000−2i22i2−2i22i20000000000000000000000000000
χ6444-4-44400-4-444-4-404000-44-400000000002i2−2i22i2−2i200000000000000000000002i2−2i22i2−2i20000000000000000000000000000
χ6544-4-4-24002-4-242-40-20002-2200023−2300000−2i22i2−2i22i200000000000023−2300000000i2−i2i2−i2i6−i6i6−i6000000000000000000000000
χ6644-4-4-24002-4-242-40-20002-2200023−23000002i2−2i22i2−2i200000000000023−2300000000−i2i2−i2i2−i6i6−i6i6000000000000000000000000
χ6744-4-4-24002-4-242-40-20002-22000−232300000−2i22i2−2i22i2000000000000−232300000000i2−i2i2−i2−i6i6−i6i6000000000000000000000000
χ6844-4-4-24002-4-242-40-20002-22000−2323000002i2−2i22i2−2i2000000000000−232300000000−i2i2−i2i2i6−i6i6−i6000000000000000000000000
χ694-44-4440044-4-4-4-4040004-4-4000000000022−22−2222000000000000000000000022−22−22220000000000000000000000000000
χ704-44-4440044-4-4-4-4040004-4-40000000000−222222−220000000000000000000000−222222−220000000000000000000000000000
χ714-44-4-2400-242-42-40-20−2i32i3-222000000000022−22−2222000−2i32i300000000000000000−222−2i6−i6−i6i6000000000000000000000000
χ724-44-4-2400-242-42-40-20−2i32i3-2220000000000−222222−22000−2i32i3000000000000000002−2−22−i6i6i6−i6000000000000000000000000
χ734-44-4-2400-242-42-40-202i3−2i3-222000000000022−22−22220002i3−2i300000000000000000−222−2−i6i6i6−i6000000000000000000000000
χ744-44-4-2400-242-42-40-202i3−2i3-2220000000000−222222−220002i3−2i3000000000000000002−2−22i6−i6−i6i6000000000000000000000000
χ754-4-444-24-4-42-424-20-200022-24-2200-44-44-400000000000000-220000-2200-2200000000000000000000000000000000
χ764-4-444-24-4-42-424-20-200022-24-2200-4-44-4400000000000000-2200002-2002-200000000000000000000000000000000
χ774-4-444-2-44-42-424-20-200022-2-42-20044-4-44000000000000002-20000-22002-200000000000000000000000000000000
χ784-4-444-2-44-42-424-20-200022-2-42-2004-444-4000000000000002-200002-200-2200000000000000000000000000000000
χ794-4-44-244-42-42-4-240-200022-2-24-400200004i4i−4i−4i0000000000-220000000000−2i−2i2i2i0000000000000000000000000000
χ804-4-44-244-42-42-4-240-200022-2-24-40020000−4i−4i4i4i0000000000-2200000000002i2i−2i−2i0000000000000000000000000000
χ814-4-44-24-442-42-4-240-200022-22-4400-20000000000000000002-20000004-4000000-2-222000000000000000000000000
χ824-4-44-24-442-42-4-240-200022-22-4400-20000000000000000002-2000000-4400000022-2-2000000000000000000000000
χ8388-8-88-400-848-4-840-40004-4400000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-40044-4-44402000-22-200043−43000000000000000000000−23230000000000000000000000000000000000000000
χ8588-8-8-4-40044-4-44402000-22-2000−434300000000000000000000023−230000000000000000000000000000000000000000
χ868-88-88-4008-4-84-840-4000-44400000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-400-4-44444020−4i34i32-2-2000000000000000002i3−2i30000000000000000000000000000000000000000000000000
χ888-88-8-4-400-4-444440204i3−4i32-2-200000000000000000−2i32i30000000000000000000000000000000000000000000000000
χ898-8-88-4-48-84444-4-402000-2-22-4-440040000000000000000002-2000000000000000000000000000000000000000000
χ908-8-88-4-4-884444-4-402000-2-2244-400-4000000000000000000-22000000000000000000000000000000000000000000

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