Finite Group Databasebeta

← Group #11884641

Character table — Group #11884641

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order122233446666662346666612121212121244446661212121212121212122224444666688121212121212121212124468121212121212122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111-1-111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-11-1-11111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-1111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111-1-111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-11-11-1-1-111111111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-1111-1-1-1-111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-1111-1-1-1-111111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-111-1-1-1-11111-1-111-1
χ911111111111111-11-1-1-111111-1-111111-1-1-1-111-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111-111-1-11-111-11111-1-111-1-1-1-11-11
χ1011111111111111-11-1-1-111111-1-111111-1-1-1-111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1111-1-111-1-111-1-11111-11-1
χ1111111111111111-11-1-1-111111-1-11111-11-1-1-1-1-111-111-1-1111-1-111111111-1-111-11-1-111-1-11-1-1-1-111-1-1-1-111111-1-1
χ1211111111111111-11-1-1-111111-1-11111-11-1-1-1-1-111-111-1-1111-1-1-1-11111-1-1-1-111-11-1-111-1111-1-1-1-1-11111-1-1-1-1-111
χ1311111111111111-11-1-1-111111-1-111-1-11-1-1-1-111-1-1-111-1-1-11111111111-1-111-1-11-111-1-1-1-1-111-1-111-1-111-1-111-11-1
χ1411111111111111-11-1-1-111111-1-111-1-11-1-1-1-111-1-1-111-1-1-11111-1-111111111-1-11-111-1-1-11-1-11-1-1-1-111-1-111-1-11-11
χ1511111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-1-111-111-1-1-1-1-11111-1-1-1-11111-1-1-11-1-1111-1-1-111111-1-1-1-111-1-1-111
χ1611111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1-11111-11111-1-11111-1-1111-1-1
χ17222222-2-222222222-222222-2-2-2-2-2-222002220000-2-2-2-2-2-2002-200000000-2-22200000000-202000000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2002220000-2-2-2-2-2200-220000000022-2-20000000020-2000000000000000
χ19222222-2-2222222-222-2-2222-2-222-2-22200-2-2-200002-2-222-200-2200000000222200000000-20-2000000000000000
χ20222222-2-2222222-222-2-2222-2-222-2-2-2-200-2-2-200002-2-2222002-200000000-2-2-2-200000000202000000000000000
χ2122222-12222-1-1-122-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-12-1-1-1-12222200-1-1-1-100-1-1-1-122-1-1-1-120-10-1-1-10000000000000
χ2222222-12222-1-1-122-1222-1-1-1-1-1-1-12222-2-2-1-1-111112-1-1-1-12-2-22200111100-1-1-1-1-2-21111-20-10-1110000000000000
χ2322222-12222-1-1-122-1222-1-1-1-1-1-1-122-2-222-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-200111100111122-1-1-1-1-20101110000000000000
χ2422222-12222-1-1-122-1222-1-1-1-1-1-1-122-2-2-2-2-1-1-111112-1-1-1-1-222-2-200-1-1-1-1001111-2-2111120101-1-10000000000000
χ2522222-12222-1-1-12-2-1-2-2-2-1-1-1-1-11122222-2111-1-111-2-1-1112-2-2-2-20011110011-1-12-2-1-11120-101-1-10000000000000
χ2622222-12222-1-1-12-2-1-2-2-2-1-1-1-1-1112222-2211111-1-1-2-1-111222-2-200-1-1-1-10011-1-1-2211-1-1-20-101110000000000000
χ2722222-12222-1-1-12-2-1-2-2-2-1-1-1-1-11122-2-22-2111-1-111-2-1-111-2222200-1-1-1-100-1-1112-2-1-111-2010-1110000000000000
χ2822222-12222-1-1-12-2-1-2-2-2-1-1-1-1-11122-2-2-2211111-1-1-2-1-111-2-2-22200111100-1-111-2211-1-12010-1-1-10000000000000
χ2922222-1-2-222-1-1-122-1-222-1-1-11111-2-22200-1-1-1−i3i3−i3i3-21111-2002-200−i3−i3i3i30011-1-100−i3i3−i3i30010-1−i3i30000000000000
χ3022222-1-2-222-1-1-122-1-222-1-1-11111-2-22200-1-1-1i3−i3i3−i3-21111-2002-200i3i3−i3−i30011-1-100i3−i3i3−i30010-1i3−i30000000000000
χ3122222-1-2-222-1-1-122-1-222-1-1-11111-2-2-2-200-1-1-1−i3i3−i3i3-21111200-2200i3i3−i3−i300-1-11100−i3i3−i3i300-101i3−i30000000000000
χ3222222-1-2-222-1-1-122-1-222-1-1-11111-2-2-2-200-1-1-1i3−i3i3−i3-21111200-2200−i3−i3i3i300-1-11100i3−i3i3−i300-101−i3i30000000000000
χ3322222-1-2-222-1-1-12-2-12-2-2-1-1-111-1-1-2-22200111−i3i3i3−i3211-1-1-200-2200i3i3−i3−i300-1-1-1-100−i3i3i3−i300101−i3i30000000000000
χ3422222-1-2-222-1-1-12-2-12-2-2-1-1-111-1-1-2-22200111i3−i3−i3i3211-1-1-200-2200−i3−i3i3i300-1-1-1-100i3−i3−i3i300101i3−i30000000000000
χ3522222-1-2-222-1-1-12-2-12-2-2-1-1-111-1-1-2-2-2-200111−i3i3i3−i3211-1-12002-200−i3−i3i3i300111100−i3i3i3−i300-10-1i3−i30000000000000
χ3622222-1-2-222-1-1-12-2-12-2-2-1-1-111-1-1-2-2-2-200111i3−i3−i3i3211-1-12002-200i3i3−i3−i300111100i3−i3−i3i300-10-1−i3i30000000000000
χ372222-1222-1-1222-12-12-1-1-1-1-12222-1-100222-1-12222-1-1-1-1-100000220000220000-1-1-1-1-1-10202000-1-1-1-1-1-1-1-100000
χ382222-1222-1-1222-12-12-1-1-1-1-12222-1-100222-1-12222-1-1-1-1-100000-2-20000-2-20000-1-1-1-1-1-10-20-20001111111100000
χ392222-1222-1-1222-12-12-1-1-1-1-12222-1-100-2-22-1-1-2-2-2-2-1-1-1-1-100000220000-2-20000111111020-2000-1-1-1-1111100000
χ402222-1222-1-1222-12-12-1-1-1-1-12222-1-100-2-22-1-1-2-2-2-2-1-1-1-1-100000-2-200002200001111110-2020001111-1-1-1-100000
χ412222-1222-1-1222-1-2-1-211-1-1-122-2-2-1-1002-2-21122-2-21-1-11100000220000-2-20000-11-1-1110-202000-1-111-1-11100000
χ422222-1222-1-1222-1-2-1-211-1-1-122-2-2-1-1002-2-21122-2-21-1-11100000-2-20000220000-11-1-111020-200011-1-111-1-100000
χ432222-1222-1-1222-1-2-1-211-1-1-122-2-2-1-100-22-211-2-2221-1-111000002200002200001-111-1-10-20-2000-1-11111-1-100000
χ442222-1222-1-1222-1-2-1-211-1-1-122-2-2-1-100-22-211-2-2221-1-11100000-2-20000-2-200001-111-1-1020200011-1-1-1-11100000
χ452-2-2222-22-2-2-2-22202000-2-222-2002-20000000000002-20002-2002-22-22-200000000000000000002-20000002-2000
χ462-2-2222-22-2-2-2-22202000-2-222-2002-20000000000002-20002-200-222-22-20000000000000000000-22000000-22000
χ472-2-2222-22-2-2-2-22202000-2-222-2002-20000000000002-2000-22002-2-22-2200000000000000000002-2000000-22000
χ482-2-2222-22-2-2-2-22202000-2-222-2002-20000000000002-2000-2200-22-22-220000000000000000000-220000002-2000
χ494444-24-4-4-2-2444-24-2-4-2-2-2-2-2-4-4-4-42200004-2-20000222220000000000000000000000000000000000000000000
χ504444-24-4-4-2-2444-2-4-2422-2-2-2-4-444220000-4220000-222-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20044-211-2-2-2-2-2111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200-4-4-2112222-211110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-222-2-2004-42-1-1-2-222211-1-100000000000000000-2211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-222-2-200-442-1-122-2-2211-1-1000000000000000002-2-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-211−2i32i3−2i32i32-1-1-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-2112i3−2i32i3−2i32-1-1-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-4142211122-2-22200002-1-1−2i32i32i3−2i3-2-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-4142211122-2-22200002-1-12i3−2i3−2i32i3-2-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444004-44-4-4-4040004-4-400000000000000000000000000000000022−220000000000000000000000022−2200000
χ6044-4-444004-44-4-4-4040004-4-4000000000000000000000000000000000−222200000000000000000000000−222200000
χ6144-4-4-2400-224-4-420-20−2i32i3-22200000000000−2i32i30000000000000000000022−22000000000000000000000i6−i6−2200000
χ6244-4-4-2400-224-4-420-20−2i32i3-22200000000000−2i32i300000000000000000000−2222000000000000000000000−i6i62−200000
χ6344-4-4-2400-224-4-420-202i3−2i3-222000000000002i3−2i30000000000000000000022−22000000000000000000000−i6i6−2200000
χ6444-4-4-2400-224-4-420-202i3−2i3-222000000000002i3−2i300000000000000000000−2222000000000000000000000i6−i62−200000
χ654-44-44400-44-44-4-404000-44-40000004i−4i000000000000000000000000000004i−4i00000000000000000000000000
χ664-44-44400-44-44-4-404000-44-4000000−4i4i00000000000000000000000000000−4i4i00000000000000000000000000
χ674-44-44-200-442-22-40-20002-220023−23004i−4i00000000000023−230000000000000−2i32i3−2i2i00000000000000000000000000
χ684-44-44-200-442-22-40-20002-220023−2300−4i4i00000000000023−2300000000000002i3−2i32i−2i00000000000000000000000000
χ694-44-44-200-442-22-40-20002-2200−2323004i−4i000000000000−232300000000000002i3−2i3−2i2i00000000000000000000000000
χ704-44-44-200-442-22-40-20002-2200−232300−4i4i000000000000−23230000000000000−2i32i32i−2i00000000000000000000000000
χ714-4-44444-4-4-4-4-44404000-4-44-4400-44000000000000-44000000000000000000000000000000000000000000000
χ724-4-444-24-4-4-422-240-200022-22-200-440000000000002-2000000000−2i32i32i3−2i300000000000000000000000000000000
χ734-4-444-24-4-4-422-240-200022-22-200-440000000000002-20000000002i3−2i3−2i32i300000000000000000000000000000000
χ744-4-444-2-44-4-422-240-200022-2-22004-4000000000000-220004-40000-22-2200000000000000000000000000000000
χ754-4-444-2-44-4-422-240-200022-2-22004-4000000000000-22000-4400002-22-200000000000000000000000000000000
χ764-4-44-244-422-4-44-20-200022-2-44002-20000000000002-20000000000000000000000000000000000−2i32i3000000000
χ774-4-44-244-422-4-44-20-200022-2-44002-20000000000002-200000000000000000000000000000000002i3−2i3000000000
χ784-4-44-24-4422-4-44-20-200022-24-400-22000000000000-2200000004-400000000000000000000000-2200000000000
χ794-4-44-24-4422-4-44-20-200022-24-400-22000000000000-220000000-44000000000000000000000002-200000000000
χ8088-8-88-4008-8-444-80-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-4444020−4i34i32-2-2000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44440204i3−4i32-2-200000000000−2i32i30000000000000000000000000000000000000000000000000000
χ838-88-8-48004-4-88-840-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-44-44402000-22-20043−430000000000000000−23230000000000000000000000000000000000000000000
χ858-88-8-4-4004-44-44402000-22-200−4343000000000000000023−230000000000000000000000000000000000000000000
χ868-8-88-4-48-84444-4-402000-2-224-4004-4000000000000-22000000000000000000000000000000000000000000000
χ878-8-88-4-4-884444-4-402000-2-22-4400-440000000000002-2000000000000000000000000000000000000000000000

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