Finite Group Databasebeta

← Group #11883947

Character table — Group #11883947

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order12222233446666663466666661212121212122466661212121212121222244466666688881212242424242424242466612121222466121244612488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-1-1-1111-1-1111111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-11-1-111-1-111-1-11-1-1
χ61111111111111111111111111111111-1-1-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111
χ71111111111111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1
χ91111-1-111111111111-1-1-1-1-11111-1-11111-111-1-1-1-1-111-1-1111-1-1111111111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-11
χ101111-1-111111111111-1-1-1-1-11111-1-11111-111-1-1-1-1-111-1-1111-1-11111111-1-111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-11-1-1-1111-1
χ111111-1-111111111111-1-1-1-1-11111-1-11111-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-111-1111-1-1-11-111-1
χ121111-1-111111111111-1-1-1-1-11111-1-11111-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-11111-111-11-1-11
χ131111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-111-111-11111-1-111-1-1111111-1-1-1-1-1-1-1111-1-11-1-11-111-11-11-1
χ141111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-111-111-11111-1-1-1-11111-1-1-1-11111-1-1-1111-11-1-1-11-1-1-11-11-11
χ151111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1111-11-1-1-111-11
χ161111-1-111111111111-1-1-1-1-11111-1-1111-11-1-1-1-1-11111-1-1-1-11-1-11-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-111111-111-11111-1-11-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-2000022-200-2-2-2-2002-22-20000220000220000000000000000000-2-20000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2000022-200-2-2-2-200-22-220000-2-20000-2-20000000000000000000220000000
χ192222222-12222-1-1-12-1222-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-10000-1-1000000002-1-12-1-1200-1-1-1-10000000
χ202222222-12222-1-1-12-1222-1-1-1-1-1222-1-1222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111000011000000002-1-12-1-1-20011110000000
χ212222222-12222-1-1-12-1222-1-1-1-1-1222-1-12-2-211-1-1-111-1-1-1-122-2-2-2-2-1-1-1-11100001100000000-211-211200-1-1110000000
χ222222222-12222-1-1-12-1222-1-1-1-1-1222-1-12-2-211-1-1-111-1-1-1-1-2-222221111-1-10000-1-100000000-211-211-20011-1-10000000
χ232222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-200−i3i3-1-11−i3i31111002-22-2−i3−i3i3i3-1-10000-1-1000000000−i3i30−i3i3000−i3i3110000000
χ242222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-200−i3i3-1-11−i3i3111100-22-22i3i3−i3−i311000011000000000−i3i30−i3i3000i3−i3-1-10000000
χ252222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-200i3−i3-1-11i3−i31111002-22-2i3i3−i3−i3-1-10000-1-1000000000i3−i30i3−i3000i3−i3110000000
χ262222222-1-2-222-1-1-12-1-222-1-1-1-1-1-2-2-211-200i3−i3-1-11i3−i3111100-22-22−i3−i3i3i311000011000000000i3−i30i3−i3000−i3i3-1-10000000
χ27222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-12222-1-1222-1-1-1-1000000000000222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ28222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-12222-1-1222-1-1-1-1000000000000-2-2-2-20011111111-1-1-1-1-1-10-2-200000011000
χ29222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-1-2-2-2-2-1-12-2-2-1-1-1-1000000000000222200-1-1-1-1-1-1-1-11111110-2-200000011000
χ30222222-1222-1-1222-1-12-1-122-1-1-1-1-1-122-1-2-2-2-2-1-12-2-2-1-1-1-1000000000000-2-2-2-20011111111111111022000000-1-1000
χ312222-2-222-2-222222222-2-2-2-2222-222-2-2-20000-2-2200-2-2220022-2-20000220000-2-200000000000000000002-20000000
χ322222-2-222-2-222222222-2-2-2-2222-222-2-2-20000-2-2200-2-22200-2-2220000-2-20000220000000000000000000-220000000
χ332222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-122-2-1-111111-1-111222-2-22-1-1-1-1-1-1000011000000002-1-1-211-200111-10000000
χ342222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-122-2-1-111111-1-111-2-2-222-21111110000-1-1000000002-1-1-211200-1-1-110000000
χ352222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-12-2211111-1-1-1-11122-222-2-1-1-1-1110000-1-100000000-2112-1-1-20011-110000000
χ362222-2-22-12222-1-1-12-1-2-2-211-1-1-12-2-2-1-12-2211111-1-1-1-111-2-22-2-221111-1-100001100000000-2112-1-1200-1-11-10000000
χ372222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-200−i3i311-1i3−i311-1-10022-2-2−i3−i3i3i3-1-1000011000000000−i3i30i3−i3000i3−i3-110000000
χ382222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-200−i3i311-1i3−i311-1-100-2-222i3i3−i3−i3110000-1-1000000000−i3i30i3−i3000−i3i31-10000000
χ392222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-200i3−i311-1−i3i311-1-10022-2-2i3i3−i3−i3-1-1000011000000000i3−i30−i3i3000−i3i3-110000000
χ402222-2-22-1-2-222-1-1-12-12-2-211-1-1-1-22211-200i3−i311-1−i3i311-1-100-2-222−i3−i3i3i3110000-1-1000000000i3−i30−i3i3000i3−i31-10000000
χ412222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-12-22211-2-2-2-1-11100000000000022-2-200-1-1-1-11111-1-1-111102-2000000-11000
χ422222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-12-22211-2-2-2-1-111000000000000-2-222001111-1-1-1-1-1-1-11110-220000001-1000
χ432222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-1-22-2-211-222-1-11100000000000022-2-200-1-1-1-11111111-1-1-10-220000001-1000
χ442222-2-2-1222-1-1222-1-1-211-2-2-1-1-1-11122-1-22-2-211-222-1-111000000000000-2-222001111-1-1-1-1111-1-1-102-2000000-11000
χ452-2-220022-22-22-22-2-2200000-22-2-2002-220000000002-2002-200002-22-2002-2000022-2-2000000000000000002-200000
χ462-2-220022-22-22-22-2-2200000-22-2-2002-220000000002-2002-200002-22-200-220000-2-22200000000000000000-2200000
χ472-2-220022-22-22-22-2-2200000-22-2-2002-220000000002-200-220000-22-22002-2000022-2-200000000000000000-2200000
χ482-2-220022-22-22-22-2-2200000-22-2-2002-220000000002-200-220000-22-2200-220000-2-222000000000000000002-200000
χ49444444-24-4-4-2-2444-2-2-4-2-244-2-2-2222-4-420000-2-2-40022220000000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-244-2-211-2-2-2111100000000000000000000000000-211-21100000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2-4-42211-2221111000000000000000000000000002-1-12-1-100000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200−2i32i3112−2i32i3-1-1-1-1000000000000000000000000000i3−i30i3−i300000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222002i3−2i31122i3−2i3-1-1-1-1000000000000000000000000000−i3i30−i3i300000000000000
χ544444-4-4-24-4-4-2-2444-2-2422-4-4-2-2-22-2-2-4-4200002240022-2-20000000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-24-4-2-2-1-122211-1-100000000000000000000000000-2112-1-100000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-222-2-2-2-4422-1-12-2-211-1-1000000000000000000000000002-1-1-21100000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-222200−2i32i3-1-1-22i3−2i3-1-111000000000000000000000000000i3−i30−i3i300000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-21422221112-2-2222002i3−2i3-1-1-2−2i32i3-1-111000000000000000000000000000−i3i30i3−i300000000000000
χ5944-4-40044004-44-4-4-44000004-4-4000000000000000000000000000000000−2i22i2000000−2i2−2i22i22i200000000000000000000
χ6044-4-40044004-44-4-4-44000004-4-40000000000000000000000000000000002i2−2i20000002i22i2−2i2−2i200000000000000000000
χ6144-4-400-2400-224-4-42-200000-222023−230000000000000023−2300000000000000−2i22i200i6−i6i6−i6i2i2−i2−i200000000000000000000
χ6244-4-400-2400-224-4-42-200000-222023−230000000000000023−23000000000000002i2−2i200−i6i6−i6i6−i2−i2i2i200000000000000000000
χ6344-4-400-2400-224-4-42-200000-2220−232300000000000000−232300000000000000−2i22i200−i6i6−i6i6i2i2−i2−i200000000000000000000
χ6444-4-400-2400-224-4-42-200000-2220−232300000000000000−2323000000000000002i2−2i200i6−i6i6−i6−i2−i2i2i200000000000000000000
χ654-44-44-44400-4-4-4-444404-44-4-4-4400000000004-400000000000000000000000000000000000000000000000000000
χ664-44-44-44-200-4-422-24-204-4-2222-20000000000-2200000000000000000−2i32i30000−2i32i30000000000000000000000000000
χ674-44-44-44-200-4-422-24-204-4-2222-20000000000-22000000000000000002i3−2i300002i3−2i30000000000000000000000000000
χ684-44-44-4-240022-4-44-2-20-224-422-20000000000-220000000000000000000000000i6−i6−i6i6i6−i6i6−i600000000000000000000
χ694-44-44-4-240022-4-44-2-20-224-422-20000000000-220000000000000000000000000−i6i6i6−i6−i6i6−i6i600000000000000000000
χ704-44-4-444400-4-4-4-44440-44-44-4-440000000000-4400000000000000000000000000000000000000000000000000000
χ714-44-4-444-200-4-422-24-20-442-222-200000000002-200000000000000000−2i32i300002i3−2i30000000000000000000000000000
χ724-44-4-444-200-4-422-24-20-442-222-200000000002-2000000000000000002i3−2i30000−2i32i30000000000000000000000000000
χ734-44-4-44-240022-4-44-2-202-2-4422-200000000002-20000000000000000000000000i6−i6−i6i6−i6i6−i6i600000000000000000000
χ744-44-4-44-240022-4-44-2-202-2-4422-200000000002-20000000000000000000000000−i6i6i6−i6i6−i6i6−i600000000000000000000
χ754-4-4400444-4-44-44-4-4400000-44-4400-44-4000000000-44000000000000000000000000000000000000000000000000
χ764-4-44004-24-4-442-22-4-2000002-224002-2-40000000002-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ774-4-44004-24-4-442-22-4-2000002-224002-2-40000000002-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ784-4-44004-2-44-442-22-4-2000002-22-400-224000000000-22004-40000-22-22000000000000000000000000000000000000
χ794-4-44004-2-44-442-22-4-2000002-22-400-224000000000-2200-4400002-22-2000000000000000000000000000000000000
χ804-4-4400-244-42-2-44-42-2000002-22-200-4420000000002-200000000000000000000000023−23−232300000000000000000000
χ814-4-4400-244-42-2-44-42-2000002-22-200-4420000000002-2000000000000000000000000−232323−2300000000000000000000
χ824-4-4400-24-442-2-44-42-2000002-222004-4-2000000000-22000000000000004-40000-2-222000000000000000000000000
χ834-4-4400-24-442-2-44-42-2000002-222004-4-2000000000-2200000000000000-44000022-2-2000000000000000000000000
χ8488-8-8008-4008-8-444-8-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-400-44-44442000002-2-2043−4300000000000000−23230000000000000000000000000000000000000000000000
χ8688-8-800-4-400-44-44442000002-2-20−43430000000000000023−230000000000000000000000000000000000000000000000
χ878-88-88-8-4-4004444-4-420-44-44-2-2200000000002-200000000000000000000000000000000000000000000000000000
χ888-88-8-88-4-4004444-4-4204-44-4-2-220000000000-2200000000000000000000000000000000000000000000000000000
χ898-8-8800-4-48-84-44-444200000-22-2-4004-44000000000-22000000000000000000000000000000000000000000000000
χ908-8-8800-4-4-884-44-444200000-22-2400-44-40000000002-2000000000000000000000000000000000000000000000000

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