Finite Group Databasebeta

← Group #11876929

Character table — Group #11876929

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444488888888121212121212121212121212121212121212121212121212161616161616161618181818242424243636484848487272
order12223344444466666636661212121212121212121212122412121212121288888888242424242424242424242424242424246666121212124444244424612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-11-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ51111111111111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111
χ71111111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1111
χ81111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1-1-111-1-11-1
χ10111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-11111-11-1-11
χ11111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-11-11-11
χ12111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-11-11-1-1-1-1111-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-1-1-111-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-11-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-11-11-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-1-1-111-1-1-11
χ1722222222-2-2-2-2222222222222-2-222-2-2-2-2-2-20022-2-2-2-20000000000000000000000000000000022-2-200002-2000000
χ1822222222-2-2-2-2222222222222-2-222-2-2-2-2-2-20022-2-2-2-200000000000000000000000000000000-2-2220000-22000000
χ19222222-2-222-2-22222222222-2-222-2-222-2-2-2-200-2-222-2-20000000000000000000000000000000022-2-20000-22000000
χ20222222-2-222-2-22222222222-2-222-2-222-2-2-2-200-2-222-2-200000000000000000000000000000000-2-22200002-2000000
χ2122222-1222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002-1-1-12-1-1-10000220000-100-100
χ2222222-1222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1-1-1-2-2-2-2000011111111000000002-1-1-12-1-1-10000-2-20000100100
χ2322222-1222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-2-2-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000-2111-21110000-2-20000100100
χ2422222-1222222-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-2-2-1-1-1-1-1-1-2-2-2-200001111111100000000-2111-21110000220000-100-100
χ2522222-1-2-2-2-222-1-1222-1-1-1-1-11111-2-2-2-222-1-12-21111-1-122-2-20000-1-1-1-11111000000002-1-1-1-211100002-20000-100100
χ2622222-1-2-2-2-222-1-1222-1-1-1-1-11111-2-2-2-222-1-12-21111-1-1-2-22200001111-1-1-1-1000000002-1-1-1-21110000-220000100-100
χ2722222-1-2-2-2-222-1-1222-1-1-1-1-11111-2-2-2-222-1-1-221111-1-122-2-20000-1-1-1-1111100000000-21112-1-1-10000-220000100-100
χ2822222-1-2-2-2-222-1-1222-1-1-1-1-11111-2-2-2-222-1-1-221111-1-1-2-22200001111-1-1-1-100000000-21112-1-1-100002-20000-100100
χ292222-1222222222-1-1-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1-12-1-1-12-1-100000022000-1-1000
χ302222-1222222222-1-1-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-10000-2-2-2-20000000011111111-12-1-1-12-1-1000000-2-200011000
χ312222-1222222222-1-1-12-1-1-1-12222-1-1-1-1-1-122-2-2-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-11-2111-211000000-2-200011000
χ322222-1222222222-1-1-12-1-1-1-12222-1-1-1-1-1-122-2-2-1-1-1-1-1-10000-2-2-2-200000000111111111-2111-21100000022000-1-1000
χ332222-12-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-21111-1-1222-21111-1-1000022-2-200000000-1-1-1-11111-12-1-11-2110000002-2000-11000
χ342222-12-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-21111-1-1222-21111-1-10000-2-222000000001111-1-1-1-1-12-1-11-211000000-220001-1000
χ352222-12-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-21111-1-122-221111-1-1000022-2-200000000-1-1-1-111111-211-12-1-1000000-220001-1000
χ362222-12-2-2-2-22222-1-1-12-1-1-1-1-2-2-2-21111-1-122-221111-1-10000-2-222000000001111-1-1-1-11-211-12-1-10000002-2000-11000
χ3722-2-22200002-2-2-22-2-222-2-22000000002-22-20000002-2002-2002i−2i000022-2-200002i2i−2i−2i000000002i−2i2i−2i000000000000
χ3822-2-22200002-2-2-22-2-222-2-22000000002-22-20000002-2002-200−2i2i000022-2-20000−2i−2i2i2i00000000−2i2i−2i2i000000000000
χ3922-2-22200002-2-2-22-2-222-2-22000000002-22-20000002-200-22002i−2i0000-2-22200002i2i−2i−2i00000000−2i2i−2i2i000000000000
χ4022-2-22200002-2-2-22-2-222-2-22000000002-22-20000002-200-2200−2i2i0000-2-2220000−2i−2i2i2i000000002i−2i2i−2i000000000000
χ4122-2-2220000-22-2-22-2-222-2-2200000000-22-22000000-222-2002i−2i0022-2-200002i2i−2i−2i0000000000002i−2i−2i2i000000000000
χ4222-2-2220000-22-2-22-2-222-2-2200000000-22-22000000-222-200−2i2i0022-2-20000−2i−2i2i2i000000000000−2i2i2i−2i000000000000
χ4322-2-2220000-22-2-22-2-222-2-2200000000-22-22000000-22-22002i−2i00-2-22200002i2i−2i−2i000000000000−2i2i2i−2i000000000000
χ4422-2-2220000-22-2-22-2-222-2-2200000000-22-22000000-22-2200−2i2i00-2-2220000−2i−2i2i2i0000000000002i−2i−2i2i000000000000
χ4544444-244-4-4-4-4-2-2444-2-2-2-2-2-2-22244-4-4-4-42200-2-22222000000000000000000000000000000000000000000000000
χ4644444-2-4-444-4-4-2-2444-2-2-2-2-222-2-2-4-444-4-4220022-2-222000000000000000000000000000000000000000000000000
χ474444-2444-4-4-4-444-2-2-24-2-2-2-244-4-4-2-22222-4-400-2-22222000000000000000000000000000000000000000000000000
χ484444-24-4-444-4-444-2-2-24-2-2-2-2-4-44422-2-222-4-40022-2-222000000000000000000000000000000000000000000000000
χ494444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-244111111000000000000000000000000-2-211-2-2110000000000000000
χ504444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-2-4-411111100000000000000000000000022-1-122-1-10000000000000000
χ514444-2-244-4-4-4-4-2-2-2-2-2-21111-2-222-2-22222220011-1-1-1-1000000000000000000000000003-3003-30000000000000000
χ524444-2-244-4-4-4-4-2-2-2-2-2-21111-2-222-2-22222220011-1-1-1-100000000000000000000000000-3300-330000000000000000
χ534444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-222-2-2222200-1-111-1-1000000000000000000000000003-300-330000000000000000
χ544444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-222-2-2222200-1-111-1-100000000000000000000000000-33003-30000000000000000
χ554444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-24-4-1-1-1-111000000000000000000000000-2-21122-1-10000000000000000
χ564444-2-2-4-4-4-444-2-2-2-2-2-2111122222222-2-2-2-2-44-1-1-1-11100000000000000000000000022-1-1-2-2110000000000000000
χ5744-4-44-200004-4224-4-4-2-222-2000000004-4-22000000-22004-400000000-2-22200000000000000000000000000000000
χ5844-4-44-200004-4224-4-4-2-222-2000000004-4-22000000-2200-440000000022-2-200000000000000000000000000000000
χ5944-4-44-20000-44224-4-4-2-222-200000000-442-20000002-24-4000000-2-222000000000000000000000000000000000000
χ6044-4-44-20000-44224-4-4-2-222-200000000-442-20000002-2-4400000022-2-2000000000000000000000000000000000000
χ6144-4-4-2400004-4-4-4-2224-222-200000000-224-4000000-220000004i−4i000000000000−2i−2i2i2i000000000000000000000000
χ6244-4-4-2400004-4-4-4-2224-222-200000000-224-4000000-22000000−4i4i0000000000002i2i−2i−2i000000000000000000000000
χ6344-4-4-240000-44-4-4-2224-222-2000000002-2-440000002-200004i−4i0000000000−2i−2i2i2i0000000000000000000000000000
χ6444-4-4-240000-44-4-4-2224-222-2000000002-2-440000002-20000−4i4i00000000002i2i−2i−2i0000000000000000000000000000
χ654-44-444004i−4i004-4-44-4-444-4-4004i−4i004i−4i000000004i−4i00000000000000000000000000000000000000000000000000
χ664-44-44400−4i4i004-4-44-4-444-4-400−4i4i00−4i4i00000000−4i4i00000000000000000000000000000000000000000000000000
χ674-44-44-2004i−4i00-22-44-42-2-22200−2i2i004i−4i00000000−2i2i0000000000i6−i6i6−i66−66−600000000000000000000000000000000
χ684-44-44-2004i−4i00-22-44-42-2-22200−2i2i004i−4i00000000−2i2i0000000000−i6i6−i6i6−66−6600000000000000000000000000000000
χ694-44-44-200−4i4i00-22-44-42-2-222002i−2i00−4i4i000000002i−2i0000000000i6−i6i6−i6−66−6600000000000000000000000000000000
χ704-44-44-200−4i4i00-22-44-42-2-222002i−2i00−4i4i000000002i−2i0000000000−i6i6−i6i66−66−600000000000000000000000000000000
χ714-44-4-24004i−4i004-42-22-4-2-222004i−4i00−2i2i00000000−2i2i000000000000000000i6−i6i6−i66−66−6000000000000000000000000
χ724-44-4-24004i−4i004-42-22-4-2-222004i−4i00−2i2i00000000−2i2i000000000000000000−i6i6−i6i6−66−66000000000000000000000000
χ734-44-4-2400−4i4i004-42-22-4-2-22200−4i4i002i−2i000000002i−2i000000000000000000i6−i6i6−i6−66−66000000000000000000000000
χ744-44-4-2400−4i4i004-42-22-4-2-22200−4i4i002i−2i000000002i−2i000000000000000000−i6i6−i6i66−66−6000000000000000000000000
χ754-4-44444i−4i0000-44-4-44-44-44-44i−4i004i−4i000000004i−4i0000000000000000000000000000000000000000000000000000
χ764-4-4444−4i4i0000-44-4-44-44-44-4−4i4i00−4i4i00000000−4i4i0000000000000000000000000000000000000000000000000000
χ774-4-444-24i−4i00002-2-4-442-22-22−2i2i004i−4i00000000−2i2i000000000000i6−i6−i6i66−6−6600000000000000000000000000000000
χ784-4-444-24i−4i00002-2-4-442-22-22−2i2i004i−4i00000000−2i2i000000000000−i6i6i6−i6−666−600000000000000000000000000000000
χ794-4-444-2−4i4i00002-2-4-442-22-222i−2i00−4i4i000000002i−2i000000000000i6−i6−i6i6−666−600000000000000000000000000000000
χ804-4-444-2−4i4i00002-2-4-442-22-222i−2i00−4i4i000000002i−2i000000000000−i6i6i6−i66−6−6600000000000000000000000000000000
χ814-4-44-244i−4i0000-4422-2-4-22-224i−4i00−2i2i00000000−2i2i000000000000000000006−6−66i6−i6−i6i6000000000000000000000000
χ824-4-44-244i−4i0000-4422-2-4-22-224i−4i00−2i2i00000000−2i2i00000000000000000000−666−6−i6i6i6−i6000000000000000000000000
χ834-4-44-24−4i4i0000-4422-2-4-22-22−4i4i002i−2i000000002i−2i000000000000000000006−6−66−i6i6i6−i6000000000000000000000000
χ844-4-44-24−4i4i0000-4422-2-4-22-22−4i4i002i−2i000000002i−2i00000000000000000000−666−6i6−i6−i6i6000000000000000000000000
χ8588-8-8-4-400008-844-444-42-2-2200000000-44-440000002-2000000000000000000000000000000000000000000000000
χ8688-8-8-4-40000-8844-444-42-2-22000000004-44-4000000-22000000000000000000000000000000000000000000000000
χ878-88-8-4-4008i−8i00-444-44422-2-200−4i4i00−4i4i000000002i−2i00000000000000000000000000000000000000000000000000
χ888-88-8-4-400−8i8i00-444-44422-2-2004i−4i004i−4i00000000−2i2i00000000000000000000000000000000000000000000000000
χ898-8-88-4-48i−8i00004-444-442-22-2−4i4i00−4i4i000000002i−2i0000000000000000000000000000000000000000000000000000
χ908-8-88-4-4−8i8i00004-444-442-22-24i−4i004i−4i00000000−2i2i0000000000000000000000000000000000000000000000000000

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