Finite Group Databasebeta

← Group #11878804

Character table — Group #11878804

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666636668812121212444424661212121224242424242424242488881212121266612121244442244666121212242424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-11-1-1111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-1-1-11111-1-1111111-1-1-1-11-11-1111-1-1-111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-11-111
χ5111111111111111111111111-1-1111111111111111111-1111-1-1-1-111111111-1-1-1-1-11-11-1-1-1111-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1111-1-1-1-111-1-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-11111-1-1111-1-1111-1-1-1-1-1-1-111-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1111111111-1-11111-1-1-1-1-1-1-1-11-1-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-1111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1111111-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-11-1-11111-111-1-11111-1-11-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-11-1-11-11111111-1-111-1-1-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1111-1-1-1-1-111-1-1-1-11-1-111-1-111111-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1111111-1-1-111-1-1-11111-1-11-11-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-11-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-20000222200000022-2-20000-200-2000000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22000022-2-2000000-2-2220000-2002000000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-20000-2-222000000-2-2220000200-2000000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-200000022-2-200002002000000000000
χ2122222-122-122-1-12-1-1-1-1222-1-1222002222-1-1-1-1-1-122-1-1-1-1200022-1-100-1-1-12-1-100002020-1-1-1000-1-100000-100
χ2222222-122-122-1-12-1-1-1-1222-1-122200-2-2-2-211-1-1-1-122-1-1-1-1200022-1-100111-2110000-20-20-111000-1-100000100
χ2322222-122-122-1-12-1-1-1-1222-1-12-2-2002222-1-1-1-1-1-122-1-1-1-1-2000-2-21100-1-1-12-1-10000-20-201110001100000100
χ2422222-122-122-1-12-1-1-1-1222-1-12-2-200-2-2-2-211-1-1-1-122-1-1-1-1-2000-2-21100111-211000020201-1-10001100000-100
χ2522222-122-122-1-12-1-1-1-1-2-22-1-1222002-22211-1-111-2-211112000-2-2-1-100-1-1-1-2110000-2020-1110001100000-100
χ2622222-122-122-1-12-1-1-1-1-2-22-1-122200-22-2-2-1-1-1-111-2-211112000-2-2-1-1001112-1-1000020-20-1-1-10001100000100
χ2722222-122-122-1-12-1-1-1-1-2-22-1-12-2-2002-22211-1-111-2-21111-2000221100-1-1-1-211000020-201-1-1000-1-100000100
χ2822222-122-122-1-12-1-1-1-1-2-22-1-12-2-200-22-2-2-1-1-1-111-2-21111-20002211001112-1-10000-2020111000-1-100000-100
χ292222-12222-1-122-1-1-1-1-122-122-1002222-1-122-1-122-1-1-1-1-1-102220000-1-12-1-1-1-1-100000202000-1-1-100-1-100-1000
χ302222-12222-1-122-1-1-1-1-122-122-10022-2-211-2-2-1-122-1-1-1-1-1-102220000-1-1-21111100000-20-2000-11100-1-1001000
χ312222-12222-1-122-1-1-1-1-122-122-100-2-222-1-122-1-122-1-1-1-1-1-10-2-2-20000112-1-1-1-1-100000-20-20001110011001000
χ322222-12222-1-122-1-1-1-1-122-122-100-2-2-2-211-2-2-1-122-1-1-1-1-1-10-2-2-2000011-211111000002020001-1-1001100-1000
χ332222-12222-1-122-1-1-1-1-1-2-2-122-100222-2-1-1-2-2-1-1-2-211111102-2-20000-1-12-1-111100000-202000-1-1-10011001000
χ342222-12222-1-122-1-1-1-1-1-2-2-122-10022-221122-1-1-2-211111102-2-20000-1-1-211-1-1-10000020-2000-111001100-1000
χ352222-12222-1-122-1-1-1-1-1-2-2-122-100-2-22-2-1-1-2-2-1-1-2-21111110-2220000112-1-11110000020-200011100-1-100-1000
χ362222-12222-1-122-1-1-1-1-1-2-2-122-100-2-2-221122-1-1-2-21111110-222000011-211-1-1-100000-2020001-1-100-1-1001000
χ3722-2-2220022-2-2-2-222-2-2−i2i200002i−2i2i−2i00000000−i2i2−i2i2−i2−i2i2i2002−22−22i−2i2i−2i0000002-20000000000002−22−2−i2i20000
χ3822-2-2220022-2-2-2-222-2-2−i2i200002i−2i−2i2i00000000−i2i2−i2i2−i2−i2i2i200−222−22i−2i−2i2i000000-220000000000002−2−22i2−i20000
χ3922-2-2220022-2-2-2-222-2-2−i2i20000−2i2i2i−2i00000000−i2i2−i2i2−i2−i2i2i2002−2−22−2i2i2i−2i000000-22000000000000−222−2i2−i20000
χ4022-2-2220022-2-2-2-222-2-2−i2i20000−2i2i−2i2i00000000−i2i2−i2i2−i2−i2i2i200−22−22−2i2i−2i2i0000002-2000000000000−22−22−i2i20000
χ4122-2-2220022-2-2-2-222-2-2i2−i200002i−2i2i−2i00000000i2−i2i2−i2i2i2−i2−i200−22−222i−2i2i−2i0000002-2000000000000−22−22i2−i20000
χ4222-2-2220022-2-2-2-222-2-2i2−i200002i−2i−2i2i00000000i2−i2i2−i2i2i2−i2−i2002−2−222i−2i−2i2i000000-22000000000000−222−2−i2i20000
χ4322-2-2220022-2-2-2-222-2-2i2−i20000−2i2i2i−2i00000000i2−i2i2−i2i2i2−i2−i200−222−2−2i2i2i−2i000000-220000000000002−2−22−i2i20000
χ4422-2-2220022-2-2-2-222-2-2i2−i20000−2i2i−2i2i00000000i2−i2i2−i2i2i2−i2−i2002−22−2−2i2i−2i2i0000002-20000000000002−22−2i2−i20000
χ4544444-2-4-4-244-2-24-2-2-2-200-422-444000000002200000000-400000-2-200000000000000002000000000000000
χ4644444-2-4-4-244-2-24-2-2-2-200-422-4-4-4000000002200000000400000220000000000000000-2000000000000000
χ474444-24-4-44-2-244-2-2-2-2-2002-4-42004400000022000000000-4000000-2-2000000000000000002000000000000
χ484444-24-4-44-2-244-2-2-2-2-2002-4-4200-4-40000002200000000040000002200000000000000000-2000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-211-211000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-2111100000000002-1-12-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2112-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-1-1-211000000000000000000000000
χ5344-4-44-200-24-422-4-2-222−2i22i200004i−4i0000000000i2−i2−2i22i2i2i2−i2−i2000022−22−2i2i0000000000000000000000−2200000000
χ5444-4-44-200-24-422-4-2-222−2i22i20000−4i4i0000000000i2−i2−2i22i2i2i2−i2−i20000−22222i−2i00000000000000000000002−200000000
χ5544-4-44-200-24-422-4-2-2222i2−2i200004i−4i0000000000−i2i22i2−2i2−i2−i2i2i20000−2222−2i2i00000000000000000000002−200000000
χ5644-4-44-200-24-422-4-2-2222i2−2i20000−4i4i0000000000−i2i22i2−2i2−i2−i2i2i2000022−222i−2i0000000000000000000000−2200000000
χ5744-4-4-24004-22-4-42-2-222−2i22i20000004i−4i00000000−2i22i2i2−i2i2i2−i2−i20022−220000−2i2i0000000000000000000000−22000000
χ5844-4-4-24004-22-4-42-2-222−2i22i2000000−4i4i00000000−2i22i2i2−i2i2i2−i2−i200−222200002i−2i00000000000000000000002−2000000
χ5944-4-4-24004-22-4-42-2-2222i2−2i20000004i−4i000000002i2−2i2−i2i2−i2−i2i2i200−22220000−2i2i00000000000000000000002−2000000
χ6044-4-4-24004-22-4-42-2-2222i2−2i2000000−4i4i000000002i2−2i2−i2i2−i2−i2i2i20022−2200002i−2i0000000000000000000000−22000000
χ614-44-44400-4-4-44-444-44-4000000000000000000000000000000000000000000004-400000000000000000000
χ624-44-44400-4-4-44-444-44-400000000000000000000000000000000000000000000-4400000000000000000000
χ634-4-44444-4-4-44-44-44-4-4400-44-440000000000-44000000000000000000000000000000000000000000000000
χ644-4-4444-44-4-44-44-44-4-44004-44-400000000004-4000000000000000000000000000000000000000000000000
χ654-4-444-24-42-442-2-4-222-200-4-22400000000−2i32i32-20000000000000000000000−2i32i3000000000000000000000000
χ664-4-444-24-42-442-2-4-222-200-4-224000000002i3−2i32-200000000000000000000002i3−2i3000000000000000000000000
χ674-4-444-2-442-442-2-4-222-20042-2-40000000000-22000000000000000000000000000000000−2i32i30000000000000
χ684-4-444-2-442-442-2-4-222-20042-2-40000000000-220000000000000000000000000000000002i3−2i30000000000000
χ694-4-44-244-4-42-2-442-222-20024-4-2000000−2i32i3002-20000000000000000000−2i32i3000000000000000000000000000
χ704-4-44-244-4-42-2-442-222-20024-4-20000002i3−2i3002-200000000000000000002i3−2i3000000000000000000000000000
χ714-4-44-24-44-42-2-442-222-200-2-4420000000000-2200000000000000000000000000000000000023−230000000000
χ724-4-44-24-44-42-2-442-222-200-2-4420000000000-22000000000000000000000000000000000000−23230000000000
χ734-4-44-2-24-422-22-221-1-11002-22-2000000−2i32i3−2i32i3-1100003-33-300000000000i3−i30i3−i3000000000000000000000000
χ744-4-44-2-24-422-22-221-1-11002-22-2000000−2i32i32i3−2i3-110000-33-3300000000000i3−i30−i3i3000000000000000000000000
χ754-4-44-2-24-422-22-221-1-11002-22-20000002i3−2i3−2i32i3-110000-33-3300000000000−i3i30i3−i3000000000000000000000000
χ764-4-44-2-24-422-22-221-1-11002-22-20000002i3−2i32i3−2i3-1100003-33-300000000000−i3i30−i3i3000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-4444422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ7988-8-8-4-400-4-4444422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ808-88-88-4004-8-8-448-44-44000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8448-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-44-42-22-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ838-88-8-4-400444-44-42-22-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000
χ848-8-88-4-4-8844-44-442-2-2200-44-4400000000002-2000000000000000000000000000000000000000000000000

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