Finite Group Databasebeta

← Group #11887144

Character table — Group #11887144

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121616161616161818181818182424242424242424242424242424363636484872
order122233446666663446668812121212224421212121212122424242424242424446688881212666612122288882444121212121212242424242246124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111111111111111-11111-1-1-1-1111111-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-1-1-11-1
χ311111111111111111111111111-1-111111111111111111-11-1-1-1-11111111111-1-1-1-1-1-11-11-1-1111-1-1-1-111-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111-1-111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-11
χ611111111111111111111-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-111111-1-111-1-1-111-1-11111-11-1-1
χ711111111111111111111-1-11111-1-111-1111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-11111-111-1-1111-1-111-1-111-1-11-1
χ811111111111111111111-1-11111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111
χ9111111111111111-1-11111111111111-1-1-1-1-111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11-1-1-1
χ10111111111111111-1-111111111111-1-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-1-111-1-111-11-11
χ11111111111111111-1-1111111111-1-111-1-1-1-1-11111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-11111-1-111
χ12111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1111-1
χ13111111111111111-1-1111-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-1
χ14111111111111111-1-1111-1-1111111-1-11-1-1-1-111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-111-11-111-1-1-1-111-1-1-1-111
χ15111111111111111-1-1111-1-11111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-111111-1-11-11-1-11111-1-1-1-1-11-11
χ16111111111111111-1-1111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111-1-111111111111-1-1-1
χ17222222-2-222222220022200-2-2-2-2222200000-2-200000000-2-2220000220000002200000000-2-20000000000-2000
χ18222222-2-222222220022200-2-2-2-222-2-200000-2-200000000-22220000-2-2000000-2-200000000-2200000000002000
χ19222222-2-222222220022200-2-2-2-2-2-22200000-2-2000000002-2-2-2000022000000-2-2000000002-200000000002000
χ20222222-2-222222220022200-2-2-2-2-2-2-2-200000-2-20000000022-2-20000-2-20000002200000000220000000000-2000
χ2122222-122-12-12-12-122-1-1-122-122-100222-1-122-1-122-1-1-1-1-1-102000022-1-12-1-1-1-1-100000020200-1-1-10000-1-1000-100
χ2222222-122-12-12-12-122-1-1-122-122-100-2-22-1-122-1-122-1-1-1-1-1-10-20000-2-2112-1-1-1-1-1000000-20-200111000011000100
χ2322222-122-12-12-12-122-1-1-1-2-2-122-10022-2-1-122-1-1-2-2111111020000-2-2-1-1-2111-1-1000000-20200-1-1-1000011000100
χ2422222-122-12-12-12-122-1-1-1-2-2-122-100-2-2-2-1-122-1-1-2-21111110-200002211-2111-1-100000020-2001110000-1-1000-100
χ2522222-122-12-12-12-1-2-2-1-1-122-122-10022-211-2-2-1-122-1-1-1-1-1-102000022-1-1-211111000000-20-200-1110000-1-1000100
χ2622222-122-12-12-12-1-2-2-1-1-122-122-100-2-2-211-2-2-1-122-1-1-1-1-1-10-20000-2-211-211111000000202001-1-1000011000-100
χ2722222-122-12-12-12-1-2-2-1-1-1-2-2-122-10022211-2-2-1-1-2-2111111020000-2-2-1-12-1-1-11100000020-200-111000011000-100
χ2822222-122-12-12-12-1-2-2-1-1-1-2-2-122-100-2-2211-2-2-1-1-2-21111110-2000022112-1-1-111000000-202001-1-10000-1-1000100
χ292222-12222-12-12-1-122-1-1-1222-1-122200222-1-1-1-1-1-122-1-1-1-120-1-1220000-12-1-1-1-10000000202-1000-1-1-1-1000000-10
χ302222-12222-12-12-1-122-1-1-1222-1-12-2-200222-1-1-1-1-1-122-1-1-1-1-2011-2-20000-12-1-1-1-10000000-20-21000111100000010
χ312222-12222-12-12-1-122-1-1-1-2-22-1-122200-222-1-1-1-111-2-2111120-1-1-2-200001-211-1-10000000-202-1000-1-11100000010
χ322222-12222-12-12-1-122-1-1-1-2-22-1-12-2-200-222-1-1-1-111-2-21111-20112200001-211-1-1000000020-2100011-1-1000000-10
χ332222-12222-12-12-1-1-2-2-1-1-1222-1-122200-2-2-211-1-1-1-122-1-1-1-120-1-12200001-211110000000-20-2-100011-1-100000010
χ342222-12222-12-12-1-1-2-2-1-1-1222-1-12-2-200-2-2-211-1-1-1-122-1-1-1-1-2011-2-200001-2111100000002021000-1-111000000-10
χ352222-12222-12-12-1-1-2-2-1-1-1-2-22-1-1222002-2-211-1-111-2-2111120-1-1-2-20000-12-1-111000000020-2-10001111000000-10
χ362222-12222-12-12-1-1-2-2-1-1-1-2-22-1-12-2-2002-2-211-1-111-2-21111-2011220000-12-1-1110000000-2021000-1-1-1-100000010
χ3722-2-222002-2-22-2-22002-2-2−i2i200002-22-20000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2−i2i22-20000002-2−i2−i2i2i20000000000−i2i2−i2i2000000
χ3822-2-222002-2-22-2-22002-2-2−i2i200002-2-220000000−i2i2−i2i2−i2−i2i2i2002-2−i2i2i2−i2-22000000-22i2i2−i2−i20000000000−i2i2i2−i2000000
χ3922-2-222002-2-22-2-22002-2-2−i2i20000-222-20000000−i2i2−i2i2−i2−i2i2i200-22i2−i2−i2i22-2000000-22i2i2−i2−i20000000000i2−i2−i2i2000000
χ4022-2-222002-2-22-2-22002-2-2−i2i20000-22-220000000−i2i2−i2i2−i2−i2i2i200-22i2−i2i2−i2-220000002-2−i2−i2i2i20000000000i2−i2i2−i2000000
χ4122-2-222002-2-22-2-22002-2-2i2−i200002-22-20000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2i2−i22-20000002-2i2i2−i2−i20000000000i2−i2i2−i2000000
χ4222-2-222002-2-22-2-22002-2-2i2−i200002-2-220000000i2−i2i2−i2i2i2−i2−i2002-2i2−i2−i2i2-22000000-22−i2−i2i2i20000000000i2−i2−i2i2000000
χ4322-2-222002-2-22-2-22002-2-2i2−i20000-222-20000000i2−i2i2−i2i2i2−i2−i200-22−i2i2i2−i22-2000000-22−i2−i2i2i20000000000−i2i2i2−i2000000
χ4422-2-222002-2-22-2-22002-2-2i2−i20000-22-220000000i2−i2i2−i2i2i2−i2−i200-22−i2i2−i2i2-220000002-2i2i2−i2−i20000000000−i2i2−i2i2000000
χ452-22-2222-2-22-2-22-222i−2i-22-2002-22-2000002i−2i2i−2i2-200000000000000000000002i−2i002i−2i2i−2i000000000000002-20000
χ462-22-2222-2-22-2-22-222i−2i-22-2002-22-2000002i−2i2i−2i2-200000000000000000000002i−2i00−2i2i−2i2i00000000000000-220000
χ472-22-2222-2-22-2-22-22−2i2i-22-2002-22-200000−2i2i−2i2i2-20000000000000000000000−2i2i002i−2i2i−2i00000000000000-220000
χ482-22-2222-2-22-2-22-22−2i2i-22-2002-22-200000−2i2i−2i2i2-20000000000000000000000−2i2i00−2i2i−2i2i000000000000002-20000
χ4944444-2-4-4-24-24-24-200-2-2-2002-4-4200440000022000000000-4000000-2-200000000000000000200000000000000
χ5044444-2-4-4-24-24-24-200-2-2-2002-4-4200-4-4000002200000000040000002200000000000000000-200000000000000
χ514444-24-4-44-24-24-2-200-2-2-200-422-44400000002200000000-40-2-200000000000000000000002000000000000000
χ524444-24-4-44-24-24-2-200-2-2-200-422-4-4-40000000220000000040220000000000000000000000-2000000000000000
χ534444-2-244-2-2-2-2-2-214411144-2-2-2-200004-2-2-2-211-2-2-2-211110000000000-2-2111100000000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-20000-4-2-2-2-2112222-1-1-1-1000000000022-1-11100000000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-411144-2-2-2-20000-4222211-2-2-2-21111000000000022-1-1-1-100000000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-2000042222112222-1-1-1-10000000000-2-211-1-100000000000000000000000000
χ5744-4-44-200-2-4242-4-200-222−2i22i20000004-40000000−2i22i2i2−i2i2i2−i2−i2000000−2i22i2-22000000000000000000000000i2−i2000000
χ5844-4-44-200-2-4242-4-200-222−2i22i2000000-440000000−2i22i2i2−i2i2i2−i2−i20000002i2−2i22-2000000000000000000000000−i2i2000000
χ5944-4-44-200-2-4242-4-200-2222i2−2i20000004-400000002i2−2i2−i2i2−i2−i2i2i20000002i2−2i2-22000000000000000000000000−i2i2000000
χ6044-4-44-200-2-4242-4-200-2222i2−2i2000000-4400000002i2−2i2−i2i2−i2−i2i2i2000000−2i22i22-2000000000000000000000000i2−i2000000
χ6144-4-4-240042-4-2-42-200-222−2i22i200004-4000000000i2−i2−2i22i2i2i2−i2−i200-22−2i22i200000000000000000000000000i2−i200000000
χ6244-4-4-240042-4-2-42-200-222−2i22i20000-44000000000i2−i2−2i22i2i2i2−i2−i2002-22i2−2i200000000000000000000000000−i2i200000000
χ6344-4-4-240042-4-2-42-200-2222i2−2i200004-4000000000−i2i22i2−2i2−i2−i2i2i200-222i2−2i200000000000000000000000000−i2i200000000
χ6444-4-4-240042-4-2-42-200-2222i2−2i20000-44000000000−i2i22i2−2i2−i2−i2i2i2002-2−2i22i200000000000000000000000000i2−i200000000
χ654-44-444-44-44-4-44-4400-44-400-44-44000000000-4400000000000000000000000000000000000000000000000000
χ664-44-44-24-4242-4-2-4-24i−4i2-2200-2-44200000−2i2i4i−4i-220000000000000000000000−2i2i00000000000000000000000000
χ674-44-44-24-4242-4-2-4-2−4i4i2-2200-2-442000002i−2i−4i4i-2200000000000000000000002i−2i00000000000000000000000000
χ684-44-44-2-44242-4-2-4-2002-220024-4-20000000002-2000000000000000000000000000000000000−2i32i3000000000000
χ694-44-44-2-44242-4-2-4-2002-220024-4-20000000002-20000000000000000000000000000000000002i3−2i3000000000000
χ704-44-4-244-4-4-2-4242-24i−4i2-220042-2-4000004i−4i−2i2i-220000000000000000000000−2i2i00000000000000000000000000
χ714-44-4-244-4-4-2-4242-2−4i4i2-220042-2-400000−4i4i2i−2i-2200000000000000000000002i−2i00000000000000000000000000
χ724-44-4-24-44-4-2-4242-2002-2200-4-2240000000002-20000000000000000000000000000000000000023−230000000000
χ734-44-4-24-44-4-2-4242-2002-2200-4-2240000000002-200000000000000000000000000000000000000−23230000000000
χ744-44-4-2-24-42-222-2214i−4i-11-100-22-2200000−2i2i−2i2i1-100003i−3i3i−3i0000000000003-3i−i00000000000000000000000000
χ754-44-4-2-24-42-222-2214i−4i-11-100-22-2200000−2i2i−2i2i1-10000−3i3i−3i3i000000000000-33i−i00000000000000000000000000
χ764-44-4-2-24-42-222-221−4i4i-11-100-22-22000002i−2i2i−2i1-100003i−3i3i−3i000000000000-33−ii00000000000000000000000000
χ774-44-4-2-24-42-222-221−4i4i-11-100-22-22000002i−2i2i−2i1-10000−3i3i−3i3i0000000000003-3−ii00000000000000000000000000
χ784-4-444400-4-44-4-44400-4-44000000000000000000000000000000000000000000022−22−222200000000000000000000
χ794-4-444400-4-44-4-44400-4-440000000000000000000000000000000000000000000−222222−2200000000000000000000
χ808888-4-4-8-8-4-4-4-4-4-4200222004444000000000-2-200000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-444-4442002-2-2−4i24i20000000000000002i2−2i22i2−2i2−i2−i2i2i2000000000000000000000000000000000000000000
χ8288-8-8-4-400-444-4442002-2-24i2−4i2000000000000000−2i22i2−2i22i2i2i2−i2−i2000000000000000000000000000000000000000000
χ838-88-8-4-4-884-444-44200-22-2004-44-4000000000-2200000000000000000000000000000000000000000000000000
χ848-8-888-4004-8-4-848-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-8484-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-40044-444-4200-2-2200000000000000000000032−32−3232000000000000000000000000000000000000000000
χ878-8-88-4-40044-444-4200-2-22000000000000000000000−323232−32000000000000000000000000000000000000000000

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