Finite Group Databasebeta

← Group #11773375

Character table — Group #11773375

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212222222224444444444444444121212121212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ911-1-1-11-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i
χ1011-1-1-11-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii
χ1111-1-1-11-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-1-1-111ii−i−iii−i−i-1-111-1-111-1-111ii−i−iii−i−i1-1−i−iii−i−iii
χ1211-1-1-11-11111-1111-1-1-1-1-1-1-1111-111-1-111-1-11111-1-1-1-1-1-111−i−iii−i−iii-1-111-1-111-1-111−i−iii−i−iii1-1ii−i−iii−i−i
χ1311-1-1-11-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-111-1-1ii−i−i−i−iii-1-11111-1-1-1-111ii−i−i−i−iii-11ii−i−i−i−iii
χ1411-1-1-11-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-111-1-1−i−iiiii−i−i-1-11111-1-1-1-111−i−iiiii−i−i-11−i−iiiii−i−i
χ1511-1-1-11-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-111ii−i−i−i−iii11-1-1-1-11111-1-1ii−i−i−i−iii-11−i−iiiii−i−i
χ1611-1-1-11-1111-11111-1-1-1-1-1-1-1111-1-1-111-1-1111111-1-1-1-1-1-111−i−iiiii−i−i11-1-1-1-11111-1-1−i−iiiii−i−i-11ii−i−i−i−iii
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ192222-2-2-2-2220022-22222-2-2-2-2-2-2-20000000022-2-22-22-2000000000000000000000000000000000000002-22-2
χ202222-2-2-2-2220022-22222-2-2-2-2-2-2-20000000022-2-22-22-200000000000000000000000000000000000000-22-22
χ212222-2-2-2-2220022-22222-2-2-2-2-2-2-200000000-2-222-22-2200000000000000000000000000000000002-22-20000
χ222222-2-2-2-2220022-22222-2-2-2-2-2-2-200000000-2-222-22-220000000000000000000000000000000000-22-220000
χ2322-2-22-22-2220022-2-2-2-2-2222-2-2-220000000022-2-2-22-22000000000000000000000000000000000000002i−2i−2i2i
χ2422-2-22-22-2220022-2-2-2-2-2222-2-2-220000000022-2-2-22-2200000000000000000000000000000000000000−2i2i2i−2i
χ2522-2-22-22-2220022-2-2-2-2-2222-2-2-2200000000-2-2222-22-200000000000000000000000000000000002i−2i−2i2i0000
χ2622-2-22-22-2220022-2-2-2-2-2222-2-2-2200000000-2-2222-22-20000000000000000000000000000000000−2i2i2i−2i0000
χ2722-2-2-22-22222-2222-2-2-2-2-2-2-2222-222-2-222-2-2-2-2-2-2222200000000000000000000000000000000-2200000000
χ2822-2-2-22-2222-22222-2-2-2-2-2-2-2222-2-2-222-2-222-2-2-2-22222000000000000000000000000000000002-200000000
χ292-22-222-2-22200-2-2222-2-222-2-22-2-2000000002-22-222-2-22-22-20000000000002-22-20000000000000000000000
χ302-22-222-2-22200-2-2222-2-222-2-22-2-2000000002-22-222-2-2-22-22000000000000-22-220000000000000000000000
χ312-22-222-2-22200-2-2222-2-222-2-22-2-200000000-22-22-2-2220000000000002i−2i2i−2i00002i−2i2i−2i000000000000000000
χ322-22-222-2-22200-2-2222-2-222-2-22-2-200000000-22-22-2-222000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000
χ332-22-2-2-2222200-2-2-222-2-2-2-222-222000000002-2-222-2-22000000002-22-200000000000000002-22-20000000000
χ342-22-2-2-2222200-2-2-222-2-2-2-222-222000000002-2-222-2-2200000000-22-220000000000000000-22-220000000000
χ352-22-2-2-2222200-2-2-222-2-2-2-222-22200000000-222-2-222-200002-22-200000000000000002-22-200000000000000
χ362-22-2-2-2222200-2-2-222-2-2-2-222-22200000000-222-2-222-20000-22-220000000000000000-22-2200000000000000
χ372-2-222-2-222200-2-2-2-2-22222-22-22-2000000002-2-22-222-2000000002i−2i−2i2i00000000000000002i−2i−2i2i0000000000
χ382-2-222-2-222200-2-2-2-2-22222-22-22-2000000002-2-22-222-200000000−2i2i2i−2i0000000000000000−2i2i2i−2i0000000000
χ392-2-222-2-222200-2-2-2-2-22222-22-22-200000000-222-22-2-2200002i−2i−2i2i00000000000000002i−2i−2i2i00000000000000
χ402-2-222-2-222200-2-2-2-2-22222-22-22-200000000-222-22-2-220000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000000000
χ412-2-22-222-22200-2-22-2-222-2-22-22-22000000002-22-2-2-2222-2-220000000000002-2-220000000000000000000000
χ422-2-22-222-22200-2-22-2-222-2-22-22-22000000002-22-2-2-222-222-2000000000000-222-20000000000000000000000
χ432-2-22-222-22200-2-22-2-222-2-22-22-2200000000-22-2222-2-20000000000002i−2i−2i2i00002i−2i−2i2i000000000000000000
χ442-2-22-222-22200-2-22-2-222-2-22-22-2200000000-22-2222-2-2000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000000000
χ45444444441-2441-211-21-21-2-21-2-211111-2-2-2-200000000000022222222000000000000-1-1-1-1-1-1-1-10000000000
χ46444444441-2441-211-21-21-2-21-2-211111-2-2-2-2000000000000-2-2-2-2-2-2-2-2000000000000111111110000000000
χ47444444441-2-4-41-211-21-21-2-21-2-21-1-1-1-122220000000000002222-2-2-2-2000000000000-1-1-1-111110000000000
χ48444444441-2-4-41-211-21-21-2-21-2-21-1-1-1-12222000000000000-2-2-2-222220000000000001111-1-1-1-10000000000
χ4944444444-2144-21-2-21-21-211-211-2-2-2-2-21111000000002222000000002222-1-1-1-1-1-1-1-1000000000000000000
χ5044444444-2144-21-2-21-21-211-211-2-2-2-2-2111100000000-2-2-2-200000000-2-2-2-211111111000000000000000000
χ5144444444-21-4-4-21-2-21-21-211-211-22222-1-1-1-100000000222200000000-2-2-2-2-1-1-1-11111000000000000000000
χ5244444444-21-4-4-21-2-21-21-211-211-22222-1-1-1-100000000-2-2-2-20000000022221111-1-1-1-1000000000000000000
χ5344-4-4-44-441-24-41-21-12-12-1221-2-2-111-1-1-2-2220000000000002i2i−2i−2i2i2i−2i−2i000000000000−i−iii−i−iii0000000000
χ5444-4-4-44-441-24-41-21-12-12-1221-2-2-111-1-1-2-222000000000000−2i−2i2i2i−2i−2i2i2i000000000000ii−i−iii−i−i0000000000
χ5544-4-4-44-441-2-441-21-12-12-1221-2-2-1-1-11122-2-20000000000002i2i−2i−2i−2i−2i2i2i000000000000−i−iiiii−i−i0000000000
χ5644-4-4-44-441-2-441-21-12-12-1221-2-2-1-1-11122-2-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000ii−i−i−i−iii0000000000
χ5744-4-4-44-44-214-4-21-22-12-12-1-1-2112-2-22211-1-10000000022-2-20000000022-2-2-1-111-1-111000000000000000000
χ5844-4-4-44-44-214-4-21-22-12-12-1-1-2112-2-22211-1-100000000-2-22200000000-2-22211-1-111-1-1000000000000000000
χ5944-4-4-44-44-21-44-21-22-12-12-1-1-211222-2-2-1-1110000000022-2-200000000-2-222-1-11111-1-1000000000000000000
χ6044-4-4-44-44-21-44-21-22-12-12-1-1-211222-2-2-1-11100000000-2-2220000000022-2-211-1-1-1-111000000000000000000
χ614-44-444-4-4-21002-1-2-212-1-21-121-1200003i−3i3i−3i000000002-22-2000000002i−2i2i−2i-11-11−ii−ii000000000000000000
χ624-44-444-4-4-21002-1-2-212-1-21-121-1200003i−3i3i−3i00000000-22-2200000000−2i2i−2i2i1-11-1i−ii−i000000000000000000
χ634-44-444-4-4-21002-1-2-212-1-21-121-120000−3i3i−3i3i000000002-22-200000000−2i2i−2i2i-11-11i−ii−i000000000000000000
χ644-44-444-4-4-21002-1-2-212-1-21-121-120000−3i3i−3i3i00000000-22-22000000002i−2i2i−2i1-11-1−ii−ii000000000000000000
χ654-44-4-4-4441-200-12-11-2-12-12-212-213-33-300000000000000002-22-22-22-2000000000000-11-11-11-110000000000
χ664-44-4-4-4441-200-12-11-2-12-12-212-213-33-30000000000000000-22-22-22-220000000000001-11-11-11-10000000000
χ674-44-4-4-4441-200-12-11-2-12-12-212-21-33-3300000000000000002-22-2-22-22000000000000-11-111-11-10000000000
χ684-44-4-4-4441-200-12-11-2-12-12-212-21-33-330000000000000000-22-222-22-20000000000001-11-1-11-110000000000
χ694-4-444-4-441-200-12-1-121-21-2212-2-13-3-3300000000000000002i−2i−2i2i2i−2i−2i2i000000000000−iii−i−iii−i0000000000
χ704-4-444-4-441-200-12-1-121-21-2212-2-13-3-330000000000000000−2i2i2i−2i−2i2i2i−2i000000000000i−i−iii−i−ii0000000000
χ714-4-444-4-441-200-12-1-121-21-2212-2-1-333-300000000000000002i−2i−2i2i−2i2i2i−2i000000000000−iii−ii−i−ii0000000000
χ724-4-444-4-441-200-12-1-121-21-2212-2-1-333-30000000000000000−2i2i2i−2i2i−2i−2i2i000000000000i−i−ii−iii−i0000000000
χ734-4-44-444-4-21002-1-22-1-212-1121-1-200003i−3i−3i3i000000002-2-22000000002i−2i−2i2i-111-1−iii−i000000000000000000
χ744-4-44-444-4-21002-1-22-1-212-1121-1-200003i−3i−3i3i00000000-222-200000000−2i2i2i−2i1-1-11i−i−ii000000000000000000
χ754-4-44-444-4-21002-1-22-1-212-1121-1-20000−3i3i3i−3i000000002-2-2200000000−2i2i2i−2i-111-1i−i−ii000000000000000000
χ764-4-44-444-4-21002-1-22-1-212-1121-1-20000−3i3i3i−3i00000000-222-2000000002i−2i−2i2i1-1-11−iii−i000000000000000000
χ778888-8-8-8-82-4002-4-22-42-4-244-244-20000000000000000000000000000000000000000000000000000000000
χ788888-8-8-8-8-4200-424-42-424-2-24-2-240000000000000000000000000000000000000000000000000000000000
χ7988-8-88-88-82-4002-4-2-24-242-4-4-24420000000000000000000000000000000000000000000000000000000000
χ8088-8-88-88-8-4200-4244-24-2-4224-2-2-40000000000000000000000000000000000000000000000000000000000
χ818-88-888-8-82-400-2422-4-242-44-2-44-20000000000000000000000000000000000000000000000000000000000
χ828-88-8-8-888-42004-24-424-24-22-4-22-40000000000000000000000000000000000000000000000000000000000
χ838-8-888-8-88-42004-244-2-42-42-2-4-2240000000000000000000000000000000000000000000000000000000000
χ848-8-88-888-82-400-242-242-4-24-4-2-4420000000000000000000000000000000000000000000000000000000000

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