Finite Group Databasebeta

← Group #11868039

Character table — Group #11868039

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222244444444444444444466668888888888888888888888121212121212121212121212121224242424242424242424242424242424363636367272
order12442223344466661212121212123666666661212121212121212128888246666666666121212121212121212122244882424242424242424246666881212121224242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-1
χ911-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-11-11111-1-11111-1-1-1-111-1-1-1-11-11-11-11111-1-1-1-11-1111-11-1-1-11-111-1-111-1-11-1
χ1011-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-11-11111-1-11111-1-1-1-111-1-1-1-1-11-111-11111-1-1-1-11-111-11-11-1-1-11-1-111-1-111-11
χ1111-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-111111111111-11-11-11111-1-1-1-1-11-1-11-1-11111-1-1-11111-1-1-11
χ1211-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-11-111-11111-1-1-1-1-11-1-1-111-111-1111-1-1-1-1111-1
χ1311-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-1111-11111-1-11111-1-1-1-111-1-1-1-11-11-1-11-1-1-1-11111-11-1-11-11-1111-111-1-1-1-111-11
χ1411-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-1111-11111-1-11111-1-1-1-111-1-1-1-1-11-11-11-1-1-1-11111-11-1-1-11-1111-11-1-11111-1-11-1
χ1511-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1-111111111111-11-1-11-1-1-1-111111-1111-1-11-1-11-1-1-111-1-1111-1
χ1611-1-11-1-111-1111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1-11111111111-11-11-11-1-1-1-111111-111-111-1-1-1-1111-1-111-1-1-11
χ1722222222-1222222-12222-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000000000-1-12200-1-1-1-1-1-1000000
χ1822222222-1222222-12222-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000000000000011-2-200111111000000
χ1922222222-1222222-12222-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-2-2-2-211-1-11111-2-211-1-11111222200000000000000-1-1-2-200-1-11111000000
χ2022222222-1222222-12222-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12-10000-2-2-2-211-1-11111-2-211-1-11111-2-2-2-20000000000000011220011-1-1-1-1000000
χ212222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-122-1-1-1-1-12222222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022-1-1-1-1-1-1-1-122-1-10000-1-1000000000000
χ222222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-122-1-1-1-1-122222-2-211-2-2-1-1111111-2-2-1-11111000022-1-1-1-1-1-1-1-1-2-211000011000000000000
χ232222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-122-1-1-1-1-12-2-2-2-222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-211111111-2-211000011000000000000
χ242222222-12222-1-1-12-1-1-1-122-12-1-122-1-1-1-122-1-1-1-1-12-2-2-2-2-2-211-2-2-1-1111111-2-2-1-111110000-2-21111111122-1-10000-1-1000000000000
χ2522222-2-2222-2-2222222222222-2-2-2-2222-2-222222-2-20000000000-2-200000000-2-200000000000000000000000000000000002i−2i2i−2i00
χ2622222-2-2222-2-2222222222222-2-2-2-2222-2-222222-2-20000000000-2-200000000-2-20000000000000000000000000000000000−2i2i−2i2i00
χ272222-22-222-22-2-2-22222-2-2222-22-22-2-2-222-2-222-2-2-2200000000002-2000000002-200002-2-22000000000000002-20000-220000000000
χ282222-22-222-22-2-2-22222-2-2222-22-22-2-2-222-2-222-2-2-2200000000002-2000000002-20000-222-200000000000000-2200002-20000000000
χ292222-22-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-1211-1-111-2-100000000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i32-2-2200000000000000-1100001-1−i3i3−i3i3000000
χ302222-22-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-1211-1-111-2-100000000−i3i3-11−i3−i3i3i300−i3i3-11−i3−i3i3i3-222-2000000000000001-10000-11i3−i3i3−i3000000
χ312222-22-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-1211-1-111-2-100000000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i32-2-2200000000000000-1100001-1i3−i3i3−i3000000
χ322222-22-22-1-22-2-2-22-122-2-2-1-1-112-2-1111-1211-1-111-2-100000000i3−i3-11i3i3−i3−i300i3−i3-11i3i3−i3−i3-222-2000000000000001-10000-11−i3i3−i3i3000000
χ332222-2-2222-2-22-2-22222-2-2222-2-22-22-2-22-22-222-2-22-22222000000-2200000000-2200000000-2-222-2-222-2-20000000000000000000000
χ342222-2-2222-2-22-2-22222-2-2222-2-22-22-2-22-22-222-2-22-2-2-2-2-2000000-2200000000-220000000022-2-222-2-2220000000000000000000000
χ352222-2-22-12-2-2211-12-1-11122-1-21-1-2211-112-2-1-111-1-2222200−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i30000-2-2-1-111-1-11100−i3i30000−i3i3000000000000
χ362222-2-22-12-2-2211-12-1-11122-1-21-1-2211-112-2-1-111-1-2222200i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i30000-2-2-1-111-1-11100i3−i30000i3−i3000000000000
χ372222-2-22-12-2-2211-12-1-11122-1-21-1-2211-112-2-1-111-1-2-2-2-2-200−i3i3001-1−i3i3−i3i3−i3i3001-1−i3i3−i3i300002211-1-111-1-100i3−i30000i3−i3000000000000
χ382222-2-22-12-2-2211-12-1-11122-1-21-1-2211-112-2-1-111-1-2-2-2-2-200i3−i3001-1i3−i3i3−i3i3−i3001-1i3−i3i3−i300002211-1-111-1-100−i3i30000−i3i3000000000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200000000002200000000-2-200000000000000000000000000000000002i−2i−2i2i00
χ4022-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-200000000002200000000-2-20000000000000000000000000000000000−2i2i2i−2i00
χ4122-2-22-2-22-1-222222-1-2-2-2-211-1-1-2-211-1-1-12-1111112-100002-222-1-111-1-1-1-1-2-211-1-111112-22-200000000000000-112-200-11-1-111000000
χ4222-2-22-2-22-1-222222-1-2-2-2-211-1-1-2-211-1-1-12-1111112-100002-222-1-111-1-1-1-1-2-211-1-11111-22-22000000000000001-1-22001-111-1-1000000
χ4322-2-22-2-22-1-222222-1-2-2-2-211-1-1-2-211-1-1-12-1111112-10000-22-2-21111111122-1-1-1-1-1-1-1-12-22-200000000000000-11-2200-1111-1-1000000
χ4422-2-22-2-22-1-222222-1-2-2-2-211-1-1-2-211-1-1-12-1111112-10000-22-2-21111111122-1-1-1-1-1-1-1-1-22-22000000000000001-12-2001-1-1-111000000
χ4522-2-22-2-2-12-222-1-1-121111-2-2-1211-2-2-1-1-1-12-21111-1222-2-22-2-1-12211-1-1-1-111-2-2-1-1111100002-2-1-1-1-111112-2-1-1000011000000000000
χ4622-2-22-2-2-12-222-1-1-121111-2-2-1211-2-2-1-1-1-12-21111-1222-2-2-2211-2-2111111-1-122-1-1-1-1-1-100002-2-1-1-1-11111-22110000-1-1000000000000
χ4722-2-22-2-2-12-222-1-1-121111-2-2-1211-2-2-1-1-1-12-21111-12-2-2222-2-1-12211-1-1-1-111-2-2-1-111110000-221111-1-1-1-1-22110000-1-1000000000000
χ4822-2-22-2-2-12-222-1-1-121111-2-2-1211-2-2-1-1-1-12-21111-12-2-222-2211-2-2111111-1-122-1-1-1-1-1-10000-221111-1-1-1-12-2-1-1000011000000000000
χ4922-2-2-22-2222-22-2-222-2-222-2-22-22-22-2-2-22-222-2-2222-222-2-20000002-200000000-2200000000-2222-2-2-2-2220000000000000000000000
χ5022-2-2-22-2222-22-2-222-2-222-2-22-22-22-2-2-22-222-2-2222-2-2-2220000002-200000000-22000000002-2-2-22222-2-20000000000000000000000
χ5122-2-2-22-2-122-2211-1211-1-1-2-2-1-2-112-211-112211-1-1-1-222-2-200−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i30000-22-1-11111-1-100−i3i30000i3−i3000000000000
χ5222-2-2-22-2-122-2211-1211-1-1-2-2-1-2-112-211-112211-1-1-1-222-2-200i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i30000-22-1-11111-1-100i3−i30000−i3i3000000000000
χ5322-2-2-22-2-122-2211-1211-1-1-2-2-1-2-112-211-112211-1-1-1-2-2-22200−i3i300-11−i3i3−i3i3i3−i3001-1i3−i3i3−i300002-211-1-1-1-11100i3−i30000−i3i3000000000000
χ5422-2-2-22-2-122-2211-1211-1-1-2-2-1-2-112-211-112211-1-1-1-2-2-22200i3−i300-11i3−i3i3−i3−i3i3001-1−i3i3−i3i300002-211-1-1-1-11100−i3i30000i3−i3000000000000
χ5522-2-2-2-222222-2-2-222-2-222-2-22-2-22-22-2-222-22-2-222-220000000000-22000000002-2000022-2-200000000000000220000-2-20000000000
χ5622-2-2-2-222222-2-2-222-2-222-2-22-2-22-22-2-222-22-2-222-220000000000-22000000002-20000-2-22200000000000000-2-20000220000000000
χ5722-2-2-2-222-122-2-2-22-1-2-22211-11-221-111-121-111-1-1-2-100000000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i322-2-200000000000000-1-1000011−i3i3i3−i3000000
χ5822-2-2-2-222-122-2-2-22-1-2-22211-11-221-111-121-111-1-1-2-100000000−i3i31-1−i3−i3i3i300i3−i3-11i3i3−i3−i3-2-22200000000000000110000-1-1i3−i3−i3i3000000
χ5922-2-2-2-222-122-2-2-22-1-2-22211-11-221-111-121-111-1-1-2-100000000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i322-2-200000000000000-1-1000011i3−i3−i3i3000000
χ6022-2-2-2-222-122-2-2-22-1-2-22211-11-221-111-121-111-1-1-2-100000000i3−i31-1i3i3−i3−i300−i3i3-11−i3−i3i3i3-2-22200000000000000110000-1-1−i3i3i3−i3000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-21111-2-2000044-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-21111-2-20000-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000
χ6344444-4-44-24-4-4444-24444-2-2-2-2-4-422-2-2-2-42-2-2-2-2-2-4200000000002200000000220000000000000000000000000000000000000000
χ6444444-4-4-244-4-4-2-2-24-2-2-2-244-2422-4-4-2-2-22-44-2-2-2-22-400000000002200000000220000000000000000000000000000000000000000
χ6544444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21-2222211122-21111220000000000-1-13-3-330000-1-13-3-33000000000000000000000000000000000000
χ6644444-4-4-2-24-4-4-2-2-2-2-2-2-2-2-2-21-2222211122-21111220000000000-1-1-333-30000-1-1-333-3000000000000000000000000000000000000
χ674444-44-4-24-44-422-24-2-22244-2-4-224-422-2-2-4-4-2-222240000000000-2200000000-220000000000000000000000000000000000000000
χ684444-44-4-2-2-44-422-2-2-2-222-2-212-22-22-1-11-22211-1-12-200000000−2i32i31-1i3i3−i3−i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ694444-44-4-2-2-44-422-2-2-2-222-2-212-22-22-1-11-22211-1-12-2000000002i3−2i31-1−i3−i3i3i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ704444-4-444-2-4-44-4-44-244-4-4-2-2-22-442-222-2-4-22-2-2224200000000002-2000000002-20000000000000000000000000000000000000000
χ714444-4-44-2-2-4-4422-2-2-2-222-2-2122-22-2-1-112-2211-1-1-22000000−2i32i300-11i3−i3i3−i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ724444-4-44-2-2-4-4422-2-2-2-222-2-2122-22-2-1-112-2211-1-1-220000002i3−2i300-11−i3i3−i3i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ7344-4-44444-2-4-4-4444-2-4-4-4-422-2-244-2-2-2-2-2-4222222-420000000000-2-200000000220000000000000000000000000000000000000000
χ7444-4-4444-24-4-4-4-2-2-242222-4-4-24-2-244-2-2-22-4-422222-40000000000-2-200000000220000000000000000000000000000000000000000
χ7544-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-2111222-1-1-1-1220000000000113-3-330000-1-1-333-3000000000000000000000000000000000000
χ7644-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2-2-2111222-1-1-1-122000000000011-333-30000-1-13-3-33000000000000000000000000000000000000
χ7744-4-44-4-4-2-2-444-2-2-2-22222221-22222111-2-22-1-1-1-1-2-200004-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000000000
χ7844-4-44-4-4-2-2-444-2-2-2-22222221-22222111-2-22-1-1-1-1-2-20000-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ7944-4-4-44-44-24-44-4-44-2-4-44422-224-4-2222-2-4-2-222-2-2420000000000-22000000002-20000000000000000000000000000000000000000
χ8044-4-4-44-4-2-24-4422-2-222-2-22212-22-22-1-112-2-2-1-111-22000000−2i32i3001-1i3−i3i3−i32i3−2i300-11−i3i3−i3i3000000000000000000000000000000000000
χ8144-4-4-44-4-2-24-4422-2-222-2-22212-22-22-1-112-2-2-1-111-220000002i3−2i3001-1−i3i3−i3i3−2i32i300-11i3−i3i3−i3000000000000000000000000000000000000
χ8244-4-4-4-44-2444-422-2422-2-2-4-4-2-42-2-4422-2-2-4422-2-22400000000002-200000000-220000000000000000000000000000000000000000
χ8344-4-4-4-44-2-244-422-2-222-2-222122-22-2-1-11-22-2-1-1112-200000000−2i32i3-11i3i3−i3−i3002i3−2i31-1−i3−i3i3i3000000000000000000000000000000000000
χ8444-4-4-4-44-2-244-422-2-222-2-222122-22-2-1-11-22-2-1-1112-2000000002i3−2i3-11−i3−i3i3i300−2i32i31-1i3i3−i3−i3000000000000000000000000000000000000
χ854-44i−4i0004400000-4-44i−4i004i−4i40000000-40004i−4i000022−22−2i22i2000000000000000000000000000022−2200−2i22i2000000000000000000000000
χ864-44i−4i0004400000-4-44i−4i004i−4i40000000-40004i−4i0000−22222i2−2i20000000000000000000000000000−2222002i2−2i2000000000000000000000000
χ874-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i32000−2i2i23−230022−22−2i22i20000000000000000000000000000−22i6−i6i2−i26−60000000000000000000000
χ884-44i−4i000-24000−2i32i32-4−2i2i23−234i−4i-200000−2i32i32000−2i2i23−2300−22222i2−2i200000000000000000000000000002−2−i6i6−i2i2−660000000000000000000000
χ894-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i32000−2i2i−23230022−22−2i22i20000000000000000000000000000−22−i6i6i2−i2−660000000000000000000000
χ904-44i−4i000-240002i3−2i32-4−2i2i−23234i−4i-2000002i3−2i32000−2i2i−232300−22222i2−2i200000000000000000000000000002−2i6−i6−i2i26−60000000000000000000000
χ914-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-4000−4i4i000022−222i2−2i2000000000000000000000000000022−22002i2−2i2000000000000000000000000
χ924-4−4i4i0004400000-4-4−4i4i00−4i4i40000000-4000−4i4i0000−2222−2i22i20000000000000000000000000000−222200−2i22i2000000000000000000000000
χ934-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i320002i−2i−23230022−222i2−2i20000000000000000000000000000−22i6−i6−i2i2−660000000000000000000000
χ944-4−4i4i000-24000−2i32i32-42i−2i−2323−4i4i-200000−2i32i320002i−2i−232300−2222−2i22i200000000000000000000000000002−2−i6i6i2−i26−60000000000000000000000
χ954-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i320002i−2i23−230022−222i2−2i20000000000000000000000000000−22−i6i6−i2i26−60000000000000000000000
χ964-4−4i4i000-240002i3−2i32-42i−2i23−23−4i4i-2000002i3−2i320002i−2i23−2300−2222−2i22i200000000000000000000000000002−2i6−i6i2−i2−660000000000000000000000
χ978-88i−8i0008-400000-848i−8i00−4i4i-400000004000−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-4000−4i34i344−4i4i43−43−4i4i2000002i3−2i3-20002i−2i−23230000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-40004i3−4i344−4i4i−4343−4i4i200000−2i32i3-20002i−2i23−230000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i0008-400000-84−8i8i004i−4i-4000000040004i−4i000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-4000−4i34i3444i−4i−43434i−4i2000002i3−2i3-2000−2i2i23−230000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-40004i3−4i3444i−4i43−434i−4i200000−2i32i3-2000−2i2i−23230000000000000000000000000000000000000000000000000000000000000000

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