Finite Group Databasebeta

← Group #11884402

Character table — Group #11884402

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446688888888888888888812121212121212121212121212161616161624242424242424242424242424242436363636487272
order12223344666666344666121212124426681212121212122424242424242424222246688121212126661212224666666682424242444881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-11111-1-1-1-1111-1-1-1-1-1-11-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1111-1-111111-1-1-1-1-111-1-111-11-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-11111-1111-1-111-1-1-1-1-111-1-1-1-11
χ5111111111111111111111111-1-1111111111111111111-111111111-1-11111111-11-1-1-1-11111-1-1-111-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ7111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-111-1-11-1-1-111-1-11111111-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-111-111-1-1-1-1-111111-1-1-1-11111-1
χ9111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-111-1
χ10111111111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1111-1-1-1111-1-1-1-111-1-1-111-1-1111-11
χ11111111111111111-1-1111111111-1-1-11-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11-1-11111111-1-1-1-1-1-1-111
χ12111111111111111-1-1111111111-1-1-11-1-1-1-111111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111-1-1-1
χ13111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-11-1-1-11111-1-1111-1-1-1-111-1-11
χ14111111111111111-1-11111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-111-1-1111111111-1-1-11-1
χ15111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-1-1-1-111111-1-1
χ16111111111111111-1-11111111-1-1-1-1-11-1-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-11-11-111-1-1-1-1-1-1-111-1-1-1-1111
χ17222222-2-2222222200222-2-2-2-22200000000-2-200000000-2002-2220022-2-200000000-200000000000-2200000
χ18222222-2-2222222200222-2-2-2-22200000000-2-200000000-200-22-2-200222200000000-2000000000002-200000
χ19222222-2-2222222200222-2-2-2-2-2-200000000-2-2000000002002-22200-2-2-2-2000000002000000000002-200000
χ20222222-2-2222222200222-2-2-2-2-2-200000000-2-200000000200-22-2-200-2-22200000000200000000000-2200000
χ2122222-1222-1-122-1-122-1-1-1-122-1002-1-1222-1-1-1-122-1-1-1-1-1-102222-1-12200-1-12-1-1-1-1020000-1-1-1-1000-1-10000000
χ2222222-1222-1-122-1-122-1-1-1-122-1002-1-1222-1-1-1-122-1-1-1-1-1-10-2-2-2-211-2-200112-1-1-1-10-200001111000110000000
χ2322222-1222-1-122-1-122-1-1-1-122-100-211-222-1-1-1-1-2-2111111022-2-211220011-211-1-10-20000-1-111000-1-10000000
χ2422222-1222-1-122-1-122-1-1-1-122-100-211-222-1-1-1-1-2-21111110-2-222-1-1-2-200-1-1-211-1-102000011-1-1000110000000
χ2522222-1222-1-122-1-1-2-2-1-1-1-122-1002-1-1-2-2-211-1-1-2-211111102222-1-1-2-200-1-12-1-1110-20000-1-111000110000000
χ2622222-1222-1-122-1-1-2-2-1-1-1-122-1002-1-1-2-2-211-1-1-2-21111110-2-2-2-2112200112-1-11102000011-1-1000-1-10000000
χ2722222-1222-1-122-1-1-2-2-1-1-1-122-100-2112-2-211-1-122-1-1-1-1-1-1022-2-211-2-20011-21111020000-1-1-1-1000110000000
χ2822222-1222-1-122-1-1-2-2-1-1-1-122-100-2112-2-211-1-122-1-1-1-1-1-10-2-222-1-12200-1-1-211110-200001111000-1-10000000
χ292222-1222-122-1-12-122-1-1-12-1-12222222-1-122-1-1-1-122-1-1-1-1200000000-1-100-1-1-1-1-1202-1-1-100002-1-1000000-100
χ302222-1222-122-1-12-122-1-1-12-1-1222-2-2-2-2-1-122-1-111-2-21111200000000-1-100111-1-120-2-1-1-10000-211000000100
χ312222-1222-122-1-12-122-1-1-12-1-12-2-22222-1-122-1-1-1-122-1-1-1-1-2000000001100-1-1-1-1-1-20-21110000-211000000100
χ322222-1222-122-1-12-122-1-1-12-1-12-2-2-2-2-2-2-1-122-1-111-2-21111-2000000001100111-1-1-20211100002-1-1000000-100
χ332222-1222-122-1-12-1-2-2-1-1-12-1-1222222-211-2-2-1-111-2-21111200000000-1-100-1-1-111-202-1110000-211000000-100
χ342222-1222-122-1-12-1-2-2-1-1-12-1-1222-2-2-2211-2-2-1-1-1-122-1-1-1-1200000000-1-10011111-20-2-11100002-1-1000000100
χ352222-1222-122-1-12-1-2-2-1-1-12-1-12-2-2222-211-2-2-1-111-2-21111-2000000001100-1-1-11120-21-1-100002-1-1000000100
χ362222-1222-122-1-12-1-2-2-1-1-12-1-12-2-2-2-2-2211-2-2-1-1-1-122-1-1-1-1-2000000001100111112021-1-10000-211000000-100
χ372-22-222-22-2-2-22-2222-2-2-22-22-220000002-22-2-220000000002-200002-200000002-20000002-2000002-20000000
χ382-22-222-22-2-2-22-2222-2-2-22-22-220000002-22-2-22000000000-220000-2200000002-2000000-2200000-220000000
χ392-22-222-22-2-2-22-222-22-2-22-22-22000000-22-22-220000000002-20000-220000000-220000002-200000-220000000
χ402-22-222-22-2-2-22-222-22-2-22-22-22000000-22-22-22000000000-2200002-20000000-22000000-22000002-20000000
χ412-22-22-1-22-2112-2-1-12-211-112-2-1000−i3i302-2-111-100−i3i3−i3−i3i3i302-200−i3i32-200−i3i30−i3i3-11000000-11−i3i3000-110000000
χ422-22-22-1-22-2112-2-1-12-211-112-2-1000−i3i302-2-111-100−i3i3−i3−i3i3i30-2200i3−i3-2200i3−i30−i3i3-110000001-1i3−i30001-10000000
χ432-22-22-1-22-2112-2-1-12-211-112-2-1000i3−i302-2-111-100i3−i3i3i3−i3−i302-200i3−i32-200i3−i30i3−i3-11000000-11i3−i3000-110000000
χ442-22-22-1-22-2112-2-1-12-211-112-2-1000i3−i302-2-111-100i3−i3i3i3−i3−i30-2200−i3i3-2200−i3i30i3−i3-110000001-1−i3i30001-10000000
χ452-22-22-1-22-2112-2-1-1-2211-112-2-1000−i3i30-221-11-100i3−i3i3i3−i3−i302-200−i3i3-2200−i3i30−i3i31-1000000-11i3−i30001-10000000
χ462-22-22-1-22-2112-2-1-1-2211-112-2-1000−i3i30-221-11-100i3−i3i3i3−i3−i30-2200i3−i32-200i3−i30−i3i31-10000001-1−i3i3000-110000000
χ472-22-22-1-22-2112-2-1-1-2211-112-2-1000i3−i30-221-11-100−i3i3−i3−i3i3i302-200i3−i3-2200i3−i30i3−i31-1000000-11−i3i30001-10000000
χ482-22-22-1-22-2112-2-1-1-2211-112-2-1000i3−i30-221-11-100−i3i3−i3−i3i3i30-2200−i3i32-200−i3i30i3−i31-10000001-1i3−i3000-110000000
χ4944444-2-4-44-2-244-2-200-2-2-22-4-42000000000022000000000004-4-2-2000022000000000000000000000000000
χ5044444-2-4-44-2-244-2-200-2-2-22-4-4200000000002200000000000-44220000-2-2000000000000000000000000000
χ514444-24-4-4-244-2-24-200-2-2-2-422-444000000002200000000-400000000-2-200000000002000000000000000000
χ524444-24-4-4-244-2-24-200-2-2-2-422-4-4-4000000002200000000400000000220000000000-2000000000000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-2004-2-24-2-2-2-211-2-2-2-211110000000000000-211110000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-200-422-4-2-2-2-2112222-1-1-1-100000000000002-1-1110000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2004-2-2-42222112222-1-1-1-10000000000000-211-1-10000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-200-4224222211-2-2-2-2111100000000000002-1-1-1-10000000000000000000000
χ5744-4-4440044-4-4-4-44004-4-400004i−4i0000000000000000000000000004i−4i00000000000000000000000000000
χ5844-4-4440044-4-4-4-44004-4-40000−4i4i000000000000000000000000000−4i4i00000000000000000000000000000
χ5944-4-4-2400-24-422-4-200-22200004i−4i00000000006−6006−66−6000000000−2i2i000000000000000000i6−i6000000000
χ6044-4-4-2400-24-422-4-200-22200004i−4i0000000000−6600−66−66000000000−2i2i000000000000000000−i6i6000000000
χ6144-4-4-2400-24-422-4-200-2220000−4i4i00000000006−6006−66−60000000002i−2i000000000000000000−i6i6000000000
χ6244-4-4-2400-24-422-4-200-2220000−4i4i0000000000−6600−66−660000000002i−2i000000000000000000i6−i6000000000
χ634-44-4444-4-4-4-44-44400-4-444-44-400000000004-4000000000000000000000000000000000000000000000000
χ644-44-44-24-4-4224-4-2-20022-2-2-4420000000000-220000000000000−2i32i300002i3−2i3000000000000000000000000000
χ654-44-44-24-4-4224-4-2-20022-2-2-4420000000000-2200000000000002i3−2i30000−2i32i3000000000000000000000000000
χ664-44-4-244-42-4-4-224-20022-242-2-40000000000-22000000000000000000000000000000−2i32i30000000000000000
χ674-44-4-244-42-4-4-224-20022-242-2-40000000000-220000000000000000000000000000002i3−2i30000000000000000
χ684-44-4-24-442-4-4-224-24-422-2-4-224000000-224-42-2000000000000000000000000-220000000000000000000000
χ694-44-4-24-442-4-4-224-2-4422-2-4-2240000002-2-442-20000000000000000000000002-20000000000000000000000
χ704-44-4-2-2-44222-22-214-4-1-112-22-2000−2i32i30-22-22-1100−2i32i3i3i3−i3−i300000000000000i3−i31-10000000000000000000000
χ714-44-4-2-2-44222-22-214-4-1-112-22-20002i3−2i30-22-22-11002i3−2i3−i3−i3i3i300000000000000−i3i31-10000000000000000000000
χ724-44-4-2-2-44222-22-21-44-1-112-22-2000−2i32i302-22-2-11002i3−2i3−i3−i3i3i300000000000000i3−i3-110000000000000000000000
χ734-44-4-2-2-44222-22-21-44-1-112-22-20002i3−2i302-22-2-1100−2i32i3i3i3−i3−i300000000000000−i3i3-110000000000000000000000
χ744-4-444400-4-44-44-4400-44-40000000000000000000000000000000000000000000000000000000000022−22000
χ754-4-444400-4-44-44-4400-44-400000000000000000000000000000000000000000000000000000000000−2222000
χ768888-4-4-8-8-4-4-4-4-4-420022244440000000000-2-2000000000000000000000000000000000000000000000000
χ7788-8-88-4008-44-8-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444442002-2-2000000000000000026−2600−66−660000000000000000000000000000000000000000
χ7988-8-8-4-400-4-444442002-2-20000000000000000−2626006−66−60000000000000000000000000000000000000000
χ808-88-8-4-48-8444-44-4200-2-22-44-4400000000002-2000000000000000000000000000000000000000000000000
χ818-8-888-400-84-4-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-884-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-44-44200-22-200000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ848-8-88-4-40044-44-44200-22-2000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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