Finite Group Databasebeta

← Group #11871267

Character table — Group #11871267

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size111122222222222244444444444444466666666668888888888888121212121212121212121216161616161624242424242424242424242424242424363636367272
order12222233446666663466666661212121212124444441212121224666612121212121212222241212121212126661212122466666688121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111-1-11111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ51111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1
χ91111-1-111111111111-1-1-1-1-111111-1-1111111-1-111111-111-1-1-1-1-111-1-111-1-1-111-1-1-1-1111-1-1-1-11-1-111-1-11-11111-1-111-1-11-1
χ101111-1-111111111111-1-1-1-1-111111-1-1111111-1-111111-111-1-1-1-1-111-1-1-1-111-111-1-1-1-1111-1-1-1-11-1-1-1-111-1111-1-111-1-111-11
χ111111-1-111111111111-1-1-1-1-111111-1-1111111-1-11111-11-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1-11111-11111-1-1-11-1-1-1-11111-1-1-11
χ121111-1-111111111111-1-1-1-1-111111-1-1111111-1-11111-11-1-1-1-1-11111-1-1-1-111-111-1-1-1-1-1-1-11111-111-1-1111-1-1-111-1-1-1-1111-1
χ131111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-111-1-111-1-11-1-11111111-1-1-11-11111-1-11-1-1-111-1-1-1-111-11
χ141111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-11-111-1-1-1-1-111-1-1-1-1111-1-11111111-1-1-11-111-1-111-11-1-1-1-11111-1-11-1
χ151111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-111-1-11-1-11111-1-1-1111-11-1-111-1-1-1111-1-111-1-1111-1
χ161111-1-111111111111-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111-1-11111-1-1-1111-11-1-1-1-1111-11111-1-111-1-1-11
χ1722222222-2-22222222-22222222-2-2-2-2-2-222-2-2-2-22222000022-200-2-2-2-200002-2-2-2-2220000000000000000000000000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2-2-22222-2-2-2-2000022-200-2-2-2-20000-22222-2-20000000000000000000000000000
χ192222222-122-12-1-122-1222-1-1-1-1-12222-1-100000000002222-1-1-122-1-1-1-122220000000-1-1-1-1-1-10000-1-1-1-12200-1-1-1-1000000
χ202222222-122-12-1-122-1222-1-1-1-1-12222-1-100000000002222-1-1-122-1-1-1-1-2-2-2-20000000-1-1-1-1-1-100001111-2-2001111000000
χ212222222-122-12-1-122-1222-1-1-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-1222200000001111110000-1-1-1-1-2-2001111000000
χ222222222-122-12-1-122-1222-1-1-1-1-12222-1-10000000000-2-2-2-2-1-1-1-2-2-1-1-1-1-2-2-2-20000000111111000011112200-1-1-1-1000000
χ23222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-12-1-1-1-1-1-100002-1-1-1-1-1-12-1-12-1-122-1-1000000-1-10000000000
χ24222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122222222-1-1-1-1-2-211-1-1211-1-1-1-100002-1-1-1-1-1-1-211-211-2-211000000110000000000
χ25222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122-2-2-2-2-2-2111122-1-1-1-12-1-1-1-1-1-10000-21111112-1-12-1-1-2-211000000110000000000
χ26222222-12222-122-1-1-12-1-122-1-1-1-1-1-1-122-2-2-2-2-2-21111-2-211-1-1211-1-1-1-10000-2111111-211-21122-1-1000000-1-10000000000
χ27222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-222-2-2-2-2-1-1-1-100−i3i3-1-1-2−i3i31111000021111-1-10−i3i30−i3i300−i3i3000000−i3i30000000000
χ28222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-222-2-2-2-2-1-1-1-100i3−i3-1-1-2i3−i31111000021111-1-10i3−i30i3−i300i3−i3000000i3−i30000000000
χ29222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-2-2-22222111100−i3i3-1-1-2−i3i311110000-2-1-1-1-1110−i3i30−i3i300i3−i3000000i3−i30000000000
χ30222222-12-2-22-122-1-1-1-2-1-122-1-1-11111-2-2-2-22222111100i3−i3-1-1-2i3−i311110000-2-1-1-1-1110i3−i30i3−i300−i3i3000000−i3i30000000000
χ312222-2-222-2-222222222-2-2-2-2222-2-222-2-222-2-22222220000-2-2200-2-2220000-2-2-222-2-20000000000000000000000000000
χ322222-2-222-2-222222222-2-2-2-2222-2-222-2-2-2-222-2-2-2-2-2-20000-2-2200-2-2220000222-2-2220000000000000000000000000000
χ332222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-100000000002-222111-2-2-1-11122-2-20000000-1-1-11110000-1-1112-200-1-111000000
χ342222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-100000000002-222111-2-2-1-111-2-2220000000-1-1-1111000011-1-1-220011-1-1000000
χ352222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-10000000000-22-2-211122-1-11122-2-20000000111-1-1-10000-1-111-220011-1-1000000
χ362222-2-22-122-12-1-122-1-2-2-211-1-1-122-2-2-1-10000000000-22-2-211122-1-111-2-2220000000111-1-1-1000011-1-12-200-1-111000000
χ372222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-111222222-2-2-1-1-1-12-2-1-111-211-1-1110000-2-1-111112-1-1-211-2211000000-1-10000000000
χ382222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-111222222-2-2-1-1-1-1-221111-2-1-1-1-1110000-2-1-11111-2112-1-12-2-1-1000000110000000000
χ392222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-11122-2-2-2-22211112-2-1-111-211-1-1110000211-1-1-1-12-1-1-2112-2-1-1000000110000000000
χ402222-2-2-12222-122-1-1-1-211-2-2-1-1-1-1-11122-2-2-2-2221111-221111-2-1-1-1-1110000211-1-1-1-1-2112-1-1-2211000000-1-10000000000
χ412222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-222-2-222-1-1-1-100−i3i3112i3−i311-1-10000-211-1-1110−i3i30i3−i300i3−i3000000−i3i30000000000
χ422222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-222-2-222-1-1-1-100i3−i3112−i3i311-1-10000-211-1-1110i3−i30−i3i300−i3i3000000i3−i30000000000
χ432222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-2-2-222-2-2111100−i3i3112i3−i311-1-100002-1-111-1-10−i3i30i3−i300−i3i3000000i3−i30000000000
χ442222-2-2-12-2-22-122-1-1-1211-2-2-1-1-111-1-1-2-2-2-222-2-2111100i3−i3112−i3i311-1-100002-1-111-1-10i3−i30−i3i300i3−i3000000−i3i30000000000
χ4522-2-200222-2-222-2-2-2200000-22-22-2002-22i−2i2i−2i002i2i−2i−2i0000000002-200002-202i−2i00000000000000002-200000000002i−2i00
χ4622-2-200222-2-222-2-2-2200000-22-22-2002-22i−2i2i−2i002i2i−2i−2i0000000002-20000-2202i−2i0000000000000000-220000000000−2i2i00
χ4722-2-200222-2-222-2-2-2200000-22-22-2002-2−2i2i−2i2i00−2i−2i2i2i0000000002-200002-20−2i2i00000000000000002-20000000000−2i2i00
χ4822-2-200222-2-222-2-2-2200000-22-22-2002-2−2i2i−2i2i00−2i−2i2i2i0000000002-20000-220−2i2i0000000000000000-2200000000002i−2i00
χ4922-2-20022-22-222-2-2-2200000-22-2-2200-222i−2i−2i2i002i2i−2i−2i000000000-22002-2000−2i2i000000000000002-200000000002i−2i0000
χ5022-2-20022-22-222-2-2-2200000-22-2-2200-222i−2i−2i2i002i2i−2i−2i000000000-2200-22000−2i2i00000000000000-220000000000−2i2i0000
χ5122-2-20022-22-222-2-2-2200000-22-2-2200-22−2i2i2i−2i00−2i−2i2i2i000000000-22002-20002i−2i000000000000002-20000000000−2i2i0000
χ5222-2-20022-22-222-2-2-2200000-22-2-2200-22−2i2i2i−2i00−2i−2i2i2i000000000-2200-220002i−2i00000000000000-2200000000002i−2i0000
χ534444444-2-4-4-24-2-244-2-444-2-2-2-2-2-4-4-4-42200000000000000-2-22002222000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2000000000044-2-211-2-2-2111100000000000-211-2110000000000000000000000
χ55444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-20000000000-4-42211-2221111000000000002-1-12-1-10000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222000000000000−2i32i3112−2i32i3-1-1-1-1000000000000i3−i30i3−i30000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-21112222220000000000002i3−2i31122i3−2i3-1-1-1-1000000000000−i3i30−i3i30000000000000000000000
χ584444-4-44-2-4-4-24-2-244-24-4-422-2-2-2-4-444220000000000000022-20022-2-2000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-200000000004-4-2-2-1-122211-1-100000000000-2112-1-10000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-21-42222111-2-222-2-20000000000-4422-1-12-2-211-1-1000000000002-1-1-2110000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-222000000000000−2i32i3-1-1-22i3−2i3-1-111000000000000i3−i30−i3i30000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-214222211122-2-2220000000000002i3−2i3-1-1-2−2i32i3-1-111000000000000−i3i30i3−i30000000000000000000000
χ6344-4-4004-24-424-22-4-4-2000002-224-400-220000000000000000000-2200004-40000000000000000000-2200000000000000
χ6444-4-4004-24-424-22-4-4-2000002-224-400-220000000000000000000-220000-4400000000000000000002-200000000000000
χ6544-4-4004-2-4424-22-4-4-2000002-22-44002-200000000000000000002-2004-40000000000000000000-220000000000000000
χ6644-4-4004-2-4424-22-4-4-2000002-22-44002-200000000000000000002-200-4400000000000000000002-20000000000000000
χ6744-4-400-244-4-4-24-422-2000002-22-22004-44i−4i4i−4i00−2i−2i2i2i000000000-220000000−2i2i00000000000000000000000000000000
χ6844-4-400-244-4-4-24-422-2000002-22-22004-4−4i4i−4i4i002i2i−2i−2i000000000-2200000002i−2i00000000000000000000000000000000
χ6944-4-400-24-44-4-24-422-2000002-222-200-444i−4i−4i4i00−2i−2i2i2i0000000002-200000002i−2i00000000000000000000000000000000
χ7044-4-400-24-44-4-24-422-2000002-222-200-44−4i4i4i−4i002i2i−2i−2i0000000002-20000000−2i2i00000000000000000000000000000000
χ714-44-44-44400-4-4-44-44404-44-4-4-44000000000000000000004-40000000000000000000000000000000000000000000000
χ724-44-44-44-2002-42-2-44-204-4-2222-200000000000000000000-22000000000000000000000000000000000000i6−i6i6−i6000000
χ734-44-44-44-2002-42-2-44-204-4-2222-200000000000000000000-22000000000000000000000000000000000000−i6i6−i6i6000000
χ744-44-44-4-2400-42-442-2-20-224-422-2000000000000−2i32i3−2i32i30000-220000000000000000−2i32i30000000000000000000000000000
χ754-44-44-4-2400-42-442-2-20-224-422-20000000000002i3−2i32i3−2i30000-2200000000000000002i3−2i30000000000000000000000000000
χ764-44-4-444400-4-4-44-4440-44-44-4-4400000000000000000000-440000000000000000000000000000000000000000000000
χ774-44-4-444-2002-42-2-44-20-442-222-2000000000000000000002-2000000000000000000000000000000000000i6−i6−i6i6000000
χ784-44-4-444-2002-42-2-44-20-442-222-2000000000000000000002-2000000000000000000000000000000000000−i6i6i6−i6000000
χ794-44-4-44-2400-42-442-2-202-2-4422-2000000000000−2i32i3−2i32i300002-200000000000000002i3−2i30000000000000000000000000000
χ804-44-4-44-2400-42-442-2-202-2-4422-20000000000002i3−2i32i3−2i300002-20000000000000000−2i32i30000000000000000000000000000
χ814-4-440044004-4-4-44-44000004-4-400000000004-40000000000000000000000004-4000000000000000000000000000000
χ824-4-440044004-4-4-44-44000004-4-40000000000-44000000000000000000000000-44000000000000000000000000000000
χ834-4-4400-240042-4-4-22-200000-2220023−230000004-423−23−23230000000000023−230000000-22000000000000000000000000000000
χ844-4-4400-240042-4-4-22-200000-2220023−23000000-44−232323−230000000000023−2300000002-2000000000000000000000000000000
χ854-4-4400-240042-4-4-22-200000-22200−23230000004-4−232323−2300000000000−23230000000-22000000000000000000000000000000
χ864-4-4400-240042-4-4-22-200000-22200−2323000000-4423−23−232300000000000−232300000002-2000000000000000000000000000000
χ8788-8-800-4-48-84-4-4444200000-22-2-4400-4400000000000000000002-200000000000000000000000000000000000000000
χ8888-8-800-4-4-884-4-4444200000-22-24-4004-40000000000000000000-2200000000000000000000000000000000000000000
χ898-88-88-8-4-400444-44-420-44-44-2-22000000000000000000002-20000000000000000000000000000000000000000000000
χ908-88-8-88-4-400444-44-4204-44-4-2-2200000000000000000000-220000000000000000000000000000000000000000000000
χ918-8-88008-400-4-8448-8-400000-44400000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800-4-400-4444-442000002-2-20043−4300000000000000000000000−2323000000000000000000000000000000000000000
χ938-8-8800-4-400-4444-442000002-2-200−43430000000000000000000000023−23000000000000000000000000000000000000000

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