Finite Group Databasebeta

← Group #11792278

Character table — Group #11792278

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order122222334444666666366666661212121212121212121212122466666666661212121212121212121224444466881212121212121212121224242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ922222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000002-200000000022-2-200000000000000
χ1022222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000-22000000000-2-22200000000000000
χ112222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222200-1-100-1-1-1-1-1-100000000000000
χ122222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-200110011111100000000000000
χ132222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-1-1111111-2-2-1-111112-2-2200-1-100-1-1111100000000000000
χ142222222-1222222-1-1-12-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-1-1111111-2-2-1-11111-222-200110011-1-1-1-100000000000000
χ152222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-20000−i3i3-1-1−i3−i3i3i3−i3i30011−i3−i3i3i302-2000−i3i300−i3i3-1-11100000000000000
χ162222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-20000−i3i3-1-1−i3−i3i3i3−i3i30011−i3−i3i3i30-22000i3−i300i3−i311-1-100000000000000
χ172222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-20000i3−i3-1-1i3i3−i3−i3i3−i30011i3i3−i3−i302-2000i3−i300i3−i3-1-11100000000000000
χ182222222-1-2-2-2-222-1-1-12-122-1-1-1-1-11111-2-2-21111-20000i3−i3-1-1i3i3−i3−i3i3−i30011i3i3−i3−i30-22000−i3i300−i3i311-1-100000000000000
χ19222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000220022000000-1-1-1-1-1-1-1-1000000
χ20222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-2-200000011111111000000
χ21222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2-1-11111-2-211-1-1111100002200-2-2000000-1-1-1-11111000000
χ22222222-122222-1-1222-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2-1-11111-2-211-1-111110000-2-200220000001111-1-1-1-1000000
χ232222-2-2222-22-22222222-2-2-2-222222-2-22-2-2-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-2000000000000000000000000000000
χ242222-2-2222-22-22222222-2-2-2-222222-2-22-2-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2-22222222222000000000000000000000000000000
χ252222-2-222-22-222222222-2-2-2-2222-2-222-2222222-2000000-2-200000000-2-20000200-2002200-2-2000000000000000000
χ262222-2-222-22-222222222-2-2-2-2222-2-222-2222222-2000000-2-200000000-2-20000-200200-2-20022000000000000000000
χ272222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1-1112-2-2111122-222-1-111-1-1-1-111-2-2-1-11111000000−i3i300i3−i3−i3i3−i3i300000000000000
χ282222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1-1112-2-2111122-222-1-111-1-1-1-111-2-2-1-11111000000i3−i300−i3i3i3−i3i3−i300000000000000
χ292222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1-1112-2-211112-22-2-211111111-1-122-1-1-1-1-1-1000000−i3i300i3−i3i3−i3i3−i300000000000000
χ302222-2-22-12-22-222-1-1-12-1-2-211-1-1-1-1-1112-2-211112-22-2-211111111-1-122-1-1-1-1-1-1000000i3−i300−i3i3−i3i3−i3i300000000000000
χ312222-2-22-1-22-2222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-20000−i3i311−i3−i3i3i3i3−i30011i3i3−i3−i3200-200-1-10011−i3i3i3−i300000000000000
χ322222-2-22-1-22-2222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-20000−i3i311−i3−i3i3i3i3−i30011i3i3−i3−i3-2002001100-1-1i3−i3−i3i300000000000000
χ332222-2-22-1-22-2222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-20000i3−i311i3i3−i3−i3−i3i30011−i3−i3i3i3200-200-1-10011i3−i3−i3i300000000000000
χ342222-2-22-1-22-2222-1-1-12-1-2-211-1-1-111-1-1-222-1-1-1-1-20000i3−i311i3i3−i3−i3−i3i30011−i3−i3i3i3-2002001100-1-1−i3i3i3−i300000000000000
χ352222-2-2-122-22-2-1-1222-1-111-2-2-1-1-122-2-2-1111111-12-2-1-12211-1-1-1-1-2-211-1-111110000000000000000−i3−i3i3i3−i3−i3i3i3000000
χ362222-2-2-122-22-2-1-1222-1-111-2-2-1-1-122-2-2-1111111-12-2-1-12211-1-1-1-1-2-211-1-111110000000000000000i3i3−i3−i3i3i3−i3−i3000000
χ372222-2-2-122-22-2-1-1222-1-111-2-2-1-1-122-2-2-1111111-1-2211-2-211111122-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i3000000
χ382222-2-2-122-22-2-1-1222-1-111-2-2-1-1-122-2-2-1111111-1-2211-2-211111122-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3−i3−i3i3i3000000
χ392-2-222-22222-2-2-2-2-22-2222-22-2-2-222-22-222-222-2-2-20000002-2000000002-200000000000000000000000000002i2i−2i−2i00
χ402-2-222-22222-2-2-2-2-22-2222-22-2-2-222-22-222-222-2-2-20000002-2000000002-20000000000000000000000000000−2i−2i2i2i00
χ412-2-222-222-2-222-2-2-22-2222-22-2-2-22-22-22-2-22-2-22220000002-200000000-22000000002-200000000002-22-20000000000
χ422-2-222-222-2-222-2-2-22-2222-22-2-2-22-22-22-2-22-2-22220000002-200000000-2200000000-220000000000-22-220000000000
χ432-2-222-2-12-2-22211-22-2-1-1-112-211-1-22-2211-111-1-1-100−i3i300-11−i3i3−i3i300−i3i31-1−i3i3−i3i300002-20000000000-11-11−i3i3−i3i3000000
χ442-2-222-2-12-2-22211-22-2-1-1-112-211-1-22-2211-111-1-1-100−i3i300-11−i3i3−i3i300−i3i31-1−i3i3−i3i30000-2200000000001-11-1i3−i3i3−i3000000
χ452-2-222-2-12-2-22211-22-2-1-1-112-211-1-22-2211-111-1-1-100i3−i300-11i3−i3i3−i300i3−i31-1i3−i3i3−i300002-20000000000-11-11i3−i3i3−i3000000
χ462-2-222-2-12-2-22211-22-2-1-1-112-211-1-22-2211-111-1-1-100i3−i300-11i3−i3i3−i300i3−i31-1i3−i3i3−i30000-2200000000001-11-1−i3i3−i3i3000000
χ472-2-22-22222-2-22-2-2-22-222-22-22-2-222-2-222-22-2-222-2000000-22000000002-2000000000000000000000000000000002-2
χ482-2-22-22222-2-22-2-2-22-222-22-22-2-222-2-222-22-2-222-2000000-22000000002-200000000000000000000000000000000-22
χ492-2-22-2222-222-2-2-2-22-222-22-22-2-22-222-2-22-222-2-22000000-2200000000-220000000000002-200000000002-2-22000000
χ502-2-22-2222-222-2-2-2-22-222-22-22-2-22-222-2-22-222-2-22000000-2200000000-22000000000000-220000000000-222-2000000
χ512-2-22-22-12-222-211-22-2-1-11-1-2211-1-222-21-11-1-111-100−i3i3001-1−i3i3−i3i300i3−i31-1i3−i3i3−i3000000002-2000000−i3i3i3−i3-111-1000000
χ522-2-22-22-12-222-211-22-2-1-11-1-2211-1-222-21-11-1-111-100−i3i3001-1−i3i3−i3i300i3−i31-1i3−i3i3−i300000000-22000000i3−i3−i3i31-1-11000000
χ532-2-22-22-12-222-211-22-2-1-11-1-2211-1-222-21-11-1-111-100i3−i3001-1i3−i3i3−i300−i3i31-1−i3i3−i3i3000000002-2000000i3−i3−i3i3-111-1000000
χ542-2-22-22-12-222-211-22-2-1-11-1-2211-1-222-21-11-1-111-100i3−i3001-1i3−i3i3−i300−i3i31-1−i3i3−i3i300000000-22000000−i3i3i3−i31-1-11000000
χ55444444-24-4-4-4-4-2-2444-2-2-2-244-2-2-2-4-4-4-422222222000000-2-200000000220000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-1000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-120000−2i32i311i3i3−i3−i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222-1-1-1-1200002i3−2i311−i3−i3i3i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000
χ604444-4-4-24-44-44-2-2444-2-222-4-4-2-2-2-4-4442-2-2-2-2-2-220000002200000000220000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-212222111-2-222-222-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-1000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-212222111-2-222-222-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-21222211122-2-22-2-2111120000−2i32i3-1-1i3i3−i3−i32i3−2i300-1-1−i3−i3i3i3000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-21222211122-2-22-2-21111200002i3−2i3-1-1−i3−i3i3i3−2i32i300-1-1i3i3−i3−i3000000000000000000000000000000
χ6544-4-4004400004-44-4-4-4400004-4-400000000000000000000000000000000000000000000000000000000002-22-200
χ6644-4-4004400004-44-4-4-4400004-4-40000000000000000000000000000000000000000000000000000000000-22-2200
χ674-44-400440000-44-4-44-440000-44-400000000000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ684-44-400440000-44-4-44-440000-44-40000000000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ694-4-444-44-244-4-4-4-42-224-24-4-2222-2-22-2244-4-2-222-4000000-2200000000-220000000000000000000000000000000000
χ704-4-444-44-2-4-444-4-42-224-24-4-2222-22-22-2-4-4422-2-24000000-22000000002-20000000000000000000000000000000000
χ714-4-444-4-2444-4-422-44-4-2-2-224-422-24-44-4-2-22-2-2222000000-2200000000-220000000000000000000000000000000000
χ724-4-444-4-2-244-4-4222-22-21-22-22-1-11-22-22-2-2211-1-120000001-13-3-3300001-13-3-33000000000000000000000000000000
χ734-4-444-4-2-244-4-4222-22-21-22-22-1-11-22-22-2-2211-1-120000001-1-333-300001-1-333-3000000000000000000000000000000
χ744-4-444-4-2-2-4-444222-22-21-22-22-1-112-22-222-2-1-111-200−2i32i3001-1i3−i3i3−i300−2i32i3-11i3−i3i3−i3000000000000000000000000000000
χ754-4-444-4-2-2-4-444222-22-21-22-22-1-112-22-222-2-1-111-2002i3−2i3001-1−i3i3−i3i3002i3−2i3-11−i3i3−i3i3000000000000000000000000000000
χ764-4-44-444-24-4-44-4-42-224-2-442-222-2-222-24-4422-2-2-40000002-200000000-220000000000000000000000000000000000
χ774-4-44-444-2-444-4-4-42-224-2-442-222-22-2-22-44-4-2-22240000002-2000000002-20000000000000000000000000000000000
χ784-4-44-44-244-4-4422-44-4-2-22-2-4422-24-4-44-22-222-2-220000002-200000000-220000000000000000000000000000000000
χ794-4-44-44-2-24-4-44222-22-212-22-2-1-11-222-2-22-2-1-1112000000-113-3-3300001-1-333-3000000000000000000000000000000
χ804-4-44-44-2-24-4-44222-22-212-22-2-1-11-222-2-22-2-1-1112000000-11-333-300001-13-3-33000000000000000000000000000000
χ814-4-44-44-2-2-444-4222-22-212-22-2-1-112-2-222-2211-1-1-200−2i32i300-11i3−i3i3−i3002i3−2i3-11−i3i3−i3i3000000000000000000000000000000
χ824-4-44-44-2-2-444-4222-22-212-22-2-1-112-2-222-2211-1-1-2002i3−2i300-11−i3i3−i3i300−2i32i3-11i3−i3i3−i3000000000000000000000000000000
χ8388-8-8008-400008-8-444-8-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8488-8-800-480000-448-8-84-40000-4440000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-40000-44-4444200002-2-200000006i−6i6i−6i00000000000000000000000000000000000000000000000000000
χ8688-8-800-4-40000-44-4444200002-2-20000000−6i6i−6i6i00000000000000000000000000000000000000000000000000000
χ878-88-8008-40000-8844-4-8-400004-440000000000000000000000000000000000000000000000000000000000000000
χ888-88-800-4800004-4-8-884-400004-440000000000000000000000000000000000000000000000000000000000000000
χ898-88-800-4-400004-444-4420000-22-200000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ908-88-800-4-400004-444-4420000-22-20000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000

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