Finite Group Databasebeta

← Group #11889261

Character table — Group #11889261

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222224444444444444888888888888881212121212121212121212121212121216161616161624242424242424242424242424242424363636367272
order1222334444666666236661212121212121212246666661212121212122224444466666612126661212124488121212121212121224242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-11111111111111111-11-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-111-11111-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-111-1-111-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-11111-1-1-1-111
χ711111111111111111111111111111-1-111-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-1-111111-1-11-1-1-1-1-1-1-1-111
χ811111111111111111111111111111-1-111-1-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1
χ9111111-1-111111111-11111-1-111-1-1111-1-1-111-1-1-1-111-1-1111-111-11111111-1-1111-1-1-1-1-1-11-1-1-111-1-1111-1-111-1-11-1
χ10111111-1-111111111-11111-1-111-1-1111-1-1-111-1-1-1-111-1-1111-1-1-1-11111111-1-1111-1-1-11-11-1-111-1-1-1-11-1-111-1-111-11
χ11111111-1-111111111-11111-1-111-1-1111-1-1-111-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-11-111-1-11111-111-1-1-1-111-11
χ12111111-1-111111111-11111-1-111-1-1111-1-1-111-1-1-1-111-1-1-1-1-11-1-11-1-1-1-1-1-1-111111-1-1-1111-1111-1-111-1-1-11111-1-11-1
χ13111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-111-11111-11111-1-111-1-1-1111-1-11-11-1-111-1-1-1-1-11111-1-1-11
χ14111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-111-11-1-11-11111-1-111-1-1-11111-1-11111-1-1-1-1-111-1-1-1-1111-1
χ15111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-1-111-1-1-1-1-1111-111-1-1-1-111111-1-111-1-1111-1
χ16111111-1-111111111-11111-1-111-1-111-11-1-1-1-1-1-11111-1-1-1-11-1-1-1-11-1-1-1-111-1-1-1-1-111111-11-111-1-111111-1-111-1-1-11
χ1722222222-2-2222222-2222222-2-222-2-200-2-200-2-200-2-222002200-2-2000022220000000000-2000000-20000000000
χ1822222222-2-2222222-2222222-2-222-2-200-2-200-2-200-2-22200-2-200220000-2-2-2-20000000000200000020000000000
χ19222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022002200-2-2-2-2002-2002-2000022-2-200000000002000000-20000000000
χ20222222-2-2-2-222222222222-2-2-2-2-2-2-2-20022002200-2-2-2-200-2200-220000-2-2220000000000-200000020000000000
χ2122222-122222-1-122-12-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-122220022-1-1-1-1-1-1-1-12-1-12-1-10200-10000-1-1-10000000000
χ2222222-122222-1-122-12-1-1-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2111111112-1-12-1-10-200100001110000000000
χ2322222-122222-1-122-12-1-1-1-122-1-1-1-122-2-22-111-1-111-1-1-1-122-2-200-2-2-1-1-1-11111-211-211020010000-1-110000000000
χ2422222-122222-1-122-12-1-1-1-122-1-1-1-122-2-22-111-1-111-1-1-1-1-2-22200221111-1-1-1-1-211-2110-200-1000011-10000000000
χ2522222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-200-21−i3i311−i3i311-1-1002200-2-2−i3−i3i3i3-1-1-1-10−i3i30−i3i3000010000−i3i310000000000
χ2622222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-200-21−i3i311−i3i311-1-100-2-20022i3i3−i3−i311110−i3i30−i3i30000-10000i3−i3-10000000000
χ2722222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-200-21i3−i311i3−i311-1-1002200-2-2i3i3−i3−i3-1-1-1-10i3−i30i3−i3000010000i3−i310000000000
χ2822222-122-2-22-1-122-1-2-1-1-1-12211-1-1-2-200-21i3−i311i3−i311-1-100-2-20022−i3−i3i3i311110i3−i30i3−i30000-10000−i3i3-10000000000
χ2922222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-111222-2-21-1-11111-1-111222-200-22-1-1-1-1-1-1112-1-1-2110-2001000011-10000000000
χ3022222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-111222-2-21-1-11111-1-111-2-2-22002-2111111-1-12-1-1-2110200-10000-1-110000000000
χ3122222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-11122-22-211111-1-1-1-11122-22002-2-1-1-1-111-1-1-2112-1-10-200-100001110000000000
χ3222222-1-2-2222-1-122-1-2-1-1-1-1-2-2-1-11122-22-211111-1-1-1-111-2-22-200-221111-1-111-2112-1-1020010000-1-1-10000000000
χ3322222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-2002-1−i3i3-1-1i3−i31111002-2002-2−i3−i3i3i3-1-1110−i3i30i3−i30000-10000i3−i310000000000
χ3422222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-2002-1−i3i3-1-1i3−i3111100-2200-22i3i3−i3−i311-1-10−i3i30i3−i3000010000−i3i3-10000000000
χ3522222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-2002-1i3−i3-1-1−i3i31111002-2002-2i3i3−i3−i3-1-1110i3−i30−i3i30000-10000−i3i310000000000
χ3622222-1-2-2-2-22-1-122-12-1-1-1-1-2-21111-2-2002-1i3−i3-1-1−i3i3111100-2200-22−i3−i3i3i311-1-10i3−i30−i3i3000010000i3−i3-10000000000
χ372222-122222-122-1-122-1-1-1-1-1-12222-1-122-1222-1-122-1-1-1-10000220000000000-1-1-1-1-1-120220-1-1-1-1000-1-1-1-1000000
χ382222-122222-122-1-122-1-1-1-1-1-12222-1-122-1222-1-122-1-1-1-10000-2-20000000000-1-1-1-1-1-1-20-2-2011110001111000000
χ392222-122222-122-1-122-1-1-1-1-1-12222-1-1-2-2-12-2-2-1-1-2-2-1-1-1-1000022000000000011111120-2-20-1-1-1-10001111000000
χ402222-122222-122-1-122-1-1-1-1-1-12222-1-1-2-2-12-2-2-1-1-2-2-1-1-1-10000-2-20000000000111111-202201111000-1-1-1-1000000
χ412222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-12-21-22211-2-2-1-1110000220000000000-1-1-1111-20-22011-1-1000-1-111000000
χ422222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-12-21-22211-2-2-1-1110000-2-20000000000-1-1-1111202-20-1-11100011-1-1000000
χ432222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-1-221-2-2-21122-1-1110000220000000000111-1-1-1-202-2011-1-100011-1-1000000
χ442222-12-2-222-122-1-12-2-1-1-1-11122-2-2-1-1-221-2-2-21122-1-1110000-2-20000000000111-1-1-120-220-1-111000-1-111000000
χ452-2-2222002-22-2-2-2-2202-22-2002-2002-200000000002-2002-2002i−2i002-22-2000000000000000002i−2i00000002i−2i0000
χ462-2-2222002-22-2-2-2-2202-22-2002-2002-200000000002-2002-200−2i2i002-22-200000000000000000−2i2i0000000−2i2i0000
χ472-2-2222002-22-2-2-2-2202-22-2002-2002-200000000002-200-22002i−2i00-22-22000000000000000002i−2i0000000−2i2i0000
χ482-2-2222002-22-2-2-2-2202-22-2002-2002-200000000002-200-2200−2i2i00-22-2200000000000000000−2i2i00000002i−2i0000
χ494444-2444-4-4-244-2-24-4-2-2-2-2-2-2-4-44422002-400220022-2-200000000000000000000000000000000000000000000
χ504444-24-4-4-4-4-244-2-244-2-2-2-222-4-4-4-42200-2400-2-200222200000000000000000000000000000000000000000000
χ514444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-244-2-2-2-211-2-211110000000000000000-211-2110000000000000000000000
χ524444-2-24444-2-2-2-2-2-241111-2-2-2-2-2-2-2-2-4-4-2-2221122111100000000000000002-1-12-1-10000000000000000000000
χ534444-2-244-4-4-2-2-2-2-2-2-41111-2-222-2-2220022−2i32i3-1-1−2i32i3-1-11100000000000000000i3−i30i3−i30000000000000000000000
χ544444-2-244-4-4-2-2-2-2-2-2-41111-2-222-2-22200222i3−2i3-1-12i3−2i3-1-11100000000000000000−i3i30−i3i30000000000000000000000
χ554444-2-2-4-444-2-2-2-2-2-2-4111122-2-222-2-24-422-2-2-1-12211-1-10000000000000000-2112-1-10000000000000000000000
χ564444-2-2-4-444-2-2-2-2-2-2-4111122-2-222-2-2-442222-1-1-2-211-1-100000000000000002-1-1-2110000000000000000000000
χ574444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-2−2i32i3112i3−2i3-1-1-1-100000000000000000i3−i30−i3i30000000000000000000000
χ584444-2-2-4-4-4-4-2-2-2-2-2-2411112222222200-2-22i3−2i311−2i32i3-1-1-1-100000000000000000−i3i30i3−i30000000000000000000000
χ5944-4-4440000-4-44-44-404-4-4400000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6044-4-4440000-4-44-44-404-4-44000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ614-44-4444i−4i00-44-44-4-4044-4-44i−4i004i−4i000000000000004i−4i00000000000000000000000000000000000000000000
χ624-44-444−4i4i00-44-44-4-4044-4-4−4i4i00−4i4i00000000000000−4i4i00000000000000000000000000000000000000000000
χ634-44-44-24i−4i00-4-224-420-2-2224i−4i00−2i2i00000000000000−2i2i000000000000−2i32i323−230000000000000000000000000000
χ644-44-44-24i−4i00-4-224-420-2-2224i−4i00−2i2i00000000000000−2i2i0000000000002i3−2i3−23230000000000000000000000000000
χ654-44-44-2−4i4i00-4-224-420-2-222−4i4i002i−2i000000000000002i−2i000000000000−2i32i3−23230000000000000000000000000000
χ664-44-44-2−4i4i00-4-224-420-2-222−4i4i002i−2i000000000000002i−2i0000000000002i3−2i323−230000000000000000000000000000
χ674-44-4-244i−4i0024-4-22-40-2-222−2i2i004i−4i00000000000000−2i2i00000000000000000000000000000000006−6i6−i6000000
χ684-44-4-244i−4i0024-4-22-40-2-222−2i2i004i−4i00000000000000−2i2i0000000000000000000000000000000000−66−i6i6000000
χ694-44-4-24−4i4i0024-4-22-40-2-2222i−2i00−4i4i000000000000002i−2i00000000000000000000000000000000006−6−i6i6000000
χ704-44-4-24−4i4i0024-4-22-40-2-2222i−2i00−4i4i000000000000002i−2i0000000000000000000000000000000000−66i6−i6000000
χ714-4-444400-444-4-4-4-4404-44-400-4400-440000000000-440000000000000000000000000000000000000000000000
χ724-4-444-2004-4422-4-4-20-22-2200-22004-40000000000-22004-4000000-22-2200000000000000000000000000000000
χ734-4-444-2004-4422-4-4-20-22-2200-22004-40000000000-2200-440000002-22-200000000000000000000000000000000
χ744-4-444-200-44422-4-4-20-22-22002-200-4400000000002-20000000000−2i32i32i3−2i300000000000000000000000000000000
χ754-4-444-200-44422-4-4-20-22-22002-200-4400000000002-200000000002i3−2i3−2i32i300000000000000000000000000000000
χ764-4-44-24004-4-2-4-42240-22-22004-400-220000000000-220000004i−4i00000000000000000000000−2i2i0000000000000
χ774-4-44-24004-4-2-4-42240-22-22004-400-220000000000-22000000−4i4i000000000000000000000002i−2i0000000000000
χ784-4-44-2400-44-2-4-42240-22-2200-44002-200000000002-20000000000000000000000000000023−23000000000000000
χ794-4-44-2400-44-2-4-42240-22-2200-44002-200000000002-200000000000000000000000000000−2323000000000000000
χ8088-8-88-40000-84-4-8840-444-4000000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4800004-884-4-80-444-4000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4-4000044-44-4402-2-22000000000000006-600000000000000000000000000000000000000000000000000
χ8388-8-8-4-4000044-44-4402-2-2200000000000000-6600000000000000000000000000000000000000000000000000
χ848-88-8-4-48i−8i004-44-444022-2-2−4i4i00−4i4i000000000000002i−2i00000000000000000000000000000000000000000000
χ858-88-8-4-4−8i8i004-44-444022-2-24i−4i004i−4i00000000000000−2i2i00000000000000000000000000000000000000000000
χ868-8-88-4-4008-8-44444-402-22-200-4400-4400000000002-20000000000000000000000000000000000000000000000
χ878-8-88-4-400-88-44444-402-22-2004-4004-40000000000-220000000000000000000000000000000000000000000000

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