Finite Group Databasebeta

← Group #11867821

Character table — Group #11867821

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444466666666888888888888121212121212121212121212121212121212121216161616161624242424242424243636363648487272
order1222334466666688883666121212122424242424242424224466664412121212121224242424246688881212121224242424242424241212121212124444121212122488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111111-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11-1-1111-1-111-1-1-111-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-111-1-111-1-1-1-1111-1-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-111-1-1-11111-1-11-1-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-111-111-1
χ1311111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-1-111-1-111-1-111-11-11
χ1411111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-111-1-1-111-1-1-11111-1-11-11-1
χ1511111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-11-1-11111-1-111-1-1-1-1111-11-1
χ1611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-11-1-1111-1-1111-1-111-1-1-11-11
χ17222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-200002-2220000-2-2-2-20000000000000000000000-22000000
χ18222222-2-222222200002222-2-2-2-20000000022-2-22222000000-2-20000-22-2-20000-2-22200000000000000000000002-2000000
χ19222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-200002-222000022-2-200000000000000000000002-2000000
χ20222222-2-222222200002222-2-2-2-200000000-2-222-2-2-2-2000000-2-20000-22-2-2000022220000000000000000000000-22000000
χ2122222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100000000222222-1-1-1-1-1-122-1-1002200-1-10000-1-1-1-1-1-1-1-1-1-1020200000000-1-100
χ2222222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100000000222222-1-1-1-1-1-1-2-21100-2-2001100001111-1-1-1-1-1-10-20-2000000001100
χ2322222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100000000-2-2-2-2-2-2-1-1-1-1-1-122-1-1002200-1-10000-1-1-1-11111110-20-2000000001100
χ2422222-1222-12-12-12222-1-1-1-12-12-12222-1-1-1-100000000-2-2-2-2-2-2-1-1-1-1-1-1-2-21100-2-2001100001111111111020200000000-1-100
χ2522222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111000000002-222-2-2-1-1111122-1-100-2-200-1-100001111-11-1-1110-202000000001-100
χ2622222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-21111000000002-222-2-2-1-11111-2-211002200110000-1-1-1-1-11-1-111020-200000000-1100
χ2722222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100000000-22-2-222-1-1111122-1-100-2-200-1-1000011111-111-1-1020-200000000-1100
χ2822222-1222-12-12-1-2-2-2-2-1-1-1-12-12-1-2-2-2-2111100000000-22-2-222-1-11111-2-211002200110000-1-1-1-11-111-1-10-202000000001-100
χ292222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-100002200-1-100-1-1-1-1000022-1-1-1-12020-1-1-1-100000000
χ302222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-122222222-1-1-1-1-2-21111-1-1-1-1-1-100002200-1-100-1-1-1-10000-2-21111-20-20111100000000
χ312222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-2-2-2111122-1-1-1-1-1-1-1-1-1-10000-2-20011001111000022-1-1-1-1-20-20111100000000
χ322222-1222-12-12-122222-1-1-1-1-12-12-1-1-1-12222-2-2-2-21111-2-21111-1-1-1-1-1-10000-2-200110011110000-2-211112020-1-1-1-100000000
χ332222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22222-1-1-1-12-2-1-111-1-111110000-2-200-1-100111100002-2-1-11120-20-1-11100000000
χ342222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-22222-1-1-1-1-2211-1-1-1-111110000-2-200-1-10011110000-2211-1-1-202011-1-100000000
χ352222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2-2-211112-2-1-111-1-11111000022001100-1-1-1-100002-2-1-111-202011-1-100000000
χ362222-1222-12-12-12-2-2-2-2-1-1-1-1-12-121111-2-2-2-2-2-2-2-21111-2211-1-1-1-11111000022001100-1-1-1-10000-2211-1-120-20-1-11100000000
χ372-2-22222-2-2-2-2-2222i2i−2i−2i2-2-2222-2-22i2i−2i−2i2i2i−2i−2i2-22-222-2-20000002-22i2i−2i−2i00002i−2i002-2002i2i−2i−2i00000000000000000000000000
χ382-2-22222-2-2-2-2-2222i2i−2i−2i2-2-2222-2-22i2i−2i−2i2i2i−2i−2i-22-22-2-2220000002-22i2i−2i−2i0000−2i2i00-2200−2i−2i2i2i00000000000000000000000000
χ392-2-22222-2-2-2-2-222−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i2-22-222-2-20000002-2−2i−2i2i2i0000−2i2i002-200−2i−2i2i2i00000000000000000000000000
χ402-2-22222-2-2-2-2-222−2i−2i2i2i2-2-2222-2-2−2i−2i2i2i−2i−2i2i2i-22-22-2-2220000002-2−2i−2i2i2i00002i−2i00-22002i2i−2i−2i00000000000000000000000000
χ412-2-2222-22-2-2-2-22200002-2-22-2-222000000002-2-2222-2-2000000-2200000000002-2-2200000022-2-200000000000000002-20000
χ422-2-2222-22-2-2-2-22200002-2-22-2-222000000002-2-2222-2-2000000-220000000000-22-22000000-2-2220000000000000000-220000
χ432-2-2222-22-2-2-2-22200002-2-22-2-22200000000-222-2-2-222000000-2200000000002-22-200000022-2-20000000000000000-220000
χ442-2-2222-22-2-2-2-22200002-2-22-2-22200000000-222-2-2-222000000-220000000000-222-2000000-2-22200000000000000002-20000
χ452-2-22-122-21-21-2-122i2i−2i−2i-111-1-121-2−i−iii2i2i−2i−2i2-22-2-1-111003−3−i3i3-11−i−iii00002i−2i00-1100−i−iii0000003−3−i3i300003−3−i3i300000000
χ462-2-22-122-21-21-2-122i2i−2i−2i-111-1-121-2−i−iii2i2i−2i−2i2-22-2-1-11100−33i3−i3-11−i−iii00002i−2i00-1100−i−iii000000−33i3−i30000−33i3−i300000000
χ472-2-22-122-21-21-2-122i2i−2i−2i-111-1-121-2−i−iii2i2i−2i−2i-22-2211-1-1003−3−i3i3-11−i−iii0000−2i2i001-100ii−i−i0000003−3−i3i30000−33i3−i300000000
χ482-2-22-122-21-21-2-122i2i−2i−2i-111-1-121-2−i−iii2i2i−2i−2i-22-2211-1-100−33i3−i3-11−i−iii0000−2i2i001-100ii−i−i000000−33i3−i300003−3−i3i300000000
χ492-2-22-122-21-21-2-12−2i−2i2i2i-111-1-121-2ii−i−i−2i−2i2i2i2-22-2-1-111003−3i3−i3-11ii−i−i0000−2i2i00-1100ii−i−i0000003−3i3−i300003−3i3−i300000000
χ502-2-22-122-21-21-2-12−2i−2i2i2i-111-1-121-2ii−i−i−2i−2i2i2i2-22-2-1-11100−33−i3i3-11ii−i−i0000−2i2i00-1100ii−i−i000000−33−i3i30000−33−i3i300000000
χ512-2-22-122-21-21-2-12−2i−2i2i2i-111-1-121-2ii−i−i−2i−2i2i2i-22-2211-1-1003−3i3−i3-11ii−i−i00002i−2i001-100−i−iii0000003−3i3−i30000−33−i3i300000000
χ522-2-22-122-21-21-2-12−2i−2i2i2i-111-1-121-2ii−i−i−2i−2i2i2i-22-2211-1-100−33−i3i3-11ii−i−i00002i−2i001-100−i−iii000000−33−i3i300003−3i3−i300000000
χ5344444-2-4-44-24-24-20000-2-2-2-2-42-4200000000000000000000002200004-4-2-200000022000000000000000000000000000000
χ5444444-2-4-44-24-24-20000-2-2-2-2-42-420000000000000000000000220000-4422000000-2-2000000000000000000000000000000
χ554444-24-4-4-24-24-240000-2-2-2-22-42-40000000044-4-4-2-2-2-2000000220000000000002200000000000000000000000000000000
χ564444-24-4-4-24-24-240000-2-2-2-22-42-400000000-4-444222200000022000000000000-2-200000000000000000000000000000000
χ574444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-211111100000000000000000000-2-211110000000000000000
χ584444-2-244-2-2-2-2-2-244441111-2-2-2-2-2-2-2-2-2-2-2-200000000-4-422221111110000000000000000000022-1-1-1-10000000000000000
χ594444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-222222222000000004-4-2-22211-1-1-1-100000000000000000000-2211-1-10000000000000000
χ604444-2-244-2-2-2-2-2-2-4-4-4-41111-2-2-2-22222222200000000-4422-2-211-1-1-1-1000000000000000000002-2-1-1110000000000000000
χ6144-4-44400-4-444-4-4−2i22i2−2i22i24-44-40000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000−2i22i2−2i22i2000000000000000000000000000000000000000000
χ6244-4-44400-4-444-4-42i2−2i22i2−2i24-44-400002i2−2i22i2−2i22i2−2i22i2−2i200000000000000002i2−2i22i2−2i2000000000000000000000000000000000000000000
χ6344-4-44-200-424-2-42−2i22i2−2i22i2-22-220000−2i22i2−2i22i2i2−i2i2−i20000000000000000i2−i2i2−i2000000000023−230000i6−i6i6−i60000000000000000000000
χ6444-4-44-200-424-2-42−2i22i2−2i22i2-22-220000−2i22i2−2i22i2i2−i2i2−i20000000000000000i2−i2i2−i20000000000−23230000−i6i6−i6i60000000000000000000000
χ6544-4-44-200-424-2-422i2−2i22i2−2i2-22-2200002i2−2i22i2−2i2−i2i2−i2i20000000000000000−i2i2−i2i2000000000023−230000−i6i6−i6i60000000000000000000000
χ6644-4-44-200-424-2-422i2−2i22i2−2i2-22-2200002i2−2i22i2−2i2−i2i2−i2i20000000000000000−i2i2−i2i20000000000−23230000i6−i6i6−i60000000000000000000000
χ6744-4-4-24002-4-242-4−2i22i2−2i22i2-22-220000i2−i2i2−i2−2i22i2−2i22i20000−2i32i3−2i32i300000000i2−i2i2−i20000000000006−66−600000000000000000000000000
χ6844-4-4-24002-4-242-4−2i22i2−2i22i2-22-220000i2−i2i2−i2−2i22i2−2i22i200002i3−2i32i3−2i300000000i2−i2i2−i2000000000000−66−6600000000000000000000000000
χ6944-4-4-24002-4-242-42i2−2i22i2−2i2-22-220000−i2i2−i2i22i2−2i22i2−2i20000−2i32i3−2i32i300000000−i2i2−i2i2000000000000−66−6600000000000000000000000000
χ7044-4-4-24002-4-242-42i2−2i22i2−2i2-22-220000−i2i2−i2i22i2−2i22i2−2i200002i3−2i32i3−2i300000000−i2i2−i2i20000000000006−66−600000000000000000000000000
χ714-44-4440044-4-4-4-422−22−222244-4-4000022−22−222222−22−2222000000000000000022−22−2222000000000000000000000000000000000000000000
χ724-44-4440044-4-4-4-4−222222−2244-4-40000−222222−22−222222−220000000000000000−222222−22000000000000000000000000000000000000000000
χ734-44-44-2004-2-42-4222−22−2222-2-222000022−22−2222−222−20000000000000000−222−200−2i32i3000000000000i6−i6−i6i60000000000000000000000
χ744-44-44-2004-2-42-4222−22−2222-2-222000022−22−2222−222−20000000000000000−222−2002i3−2i3000000000000−i6i6i6−i60000000000000000000000
χ754-44-44-2004-2-42-42−222222−22-2-2220000−222222−222−2−2200000000000000002−2−2200−2i32i3000000000000−i6i6i6−i60000000000000000000000
χ764-44-44-2004-2-42-42−222222−22-2-2220000−222222−222−2−2200000000000000002−2−22002i3−2i3000000000000i6−i6−i6i60000000000000000000000
χ774-44-4-2400-242-42-422−22−2222-2-2220000−222−222−22−22220000−2i32i32i3−2i300000000−222−2000000000000i6−i6−i6i600000000000000000000000000
χ784-44-4-2400-242-42-422−22−2222-2-2220000−222−222−22−222200002i3−2i3−2i32i300000000−222−2000000000000−i6i6i6−i600000000000000000000000000
χ794-44-4-2400-242-42-4−222222−22-2-22200002−2−22−222222−220000−2i32i32i3−2i3000000002−2−22000000000000−i6i6i6−i600000000000000000000000000
χ804-44-4-2400-242-42-4−222222−22-2-22200002−2−22−222222−2200002i3−2i3−2i32i3000000002−2−22000000000000i6−i6−i6i600000000000000000000000000
χ814-4-444-24-4-42-424-24i4i−4i−4i-222-24-2-424i4i−4i−4i−2i−2i2i2i00000000000000-22−2i−2i2i2i000000000000000000000000000000000000000000
χ824-4-444-24-4-42-424-2−4i−4i4i4i-222-24-2-42−4i−4i4i4i2i2i−2i−2i00000000000000-222i2i−2i−2i000000000000000000000000000000000000000000
χ834-4-444-2-44-42-424-20000-222-2-424-200000000000000000000002-200000000004-400000000-2-2220000000000000000000000
χ844-4-444-2-44-42-424-20000-222-2-424-200000000000000000000002-20000000000-440000000022-2-20000000000000000000000
χ854-4-44-24-442-42-4-240000-222-22-4-24000000004-4-44-2-2220000002-20000000000002-200000000000000000000000000000000
χ864-4-44-24-442-42-4-240000-222-22-4-2400000000-444-422-2-20000002-2000000000000-2200000000000000000000000000000000
χ874-4-44-2-24-42222-2-24i4i−4i−4i1-1-11-2-222−2i−2i2i2i−2i−2i2i2i000000000023−23−2i32i31-1ii−i−i0000000000000000000000−33i3−i30000000000000000
χ884-4-44-2-24-42222-2-24i4i−4i−4i1-1-11-2-222−2i−2i2i2i−2i−2i2i2i0000000000−23232i3−2i31-1ii−i−i00000000000000000000003−3−i3i30000000000000000
χ894-4-44-2-24-42222-2-2−4i−4i4i4i1-1-11-2-2222i2i−2i−2i2i2i−2i−2i000000000023−232i3−2i31-1−i−iii0000000000000000000000−33−i3i30000000000000000
χ904-4-44-2-24-42222-2-2−4i−4i4i4i1-1-11-2-2222i2i−2i−2i2i2i−2i−2i0000000000−2323−2i32i31-1−i−iii00000000000000000000003−3i3−i30000000000000000
χ918888-4-4-8-8-4-4-4-4-4-40000222244440000000000000000000000-2-20000000000000000000000000000000000000000000000
χ9288-8-8-4-40044-4-444−4i24i2−4i24i22-22-200002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000−i2i2−i2i2000000000000000000000000000000000000000000
χ9388-8-8-4-40044-4-4444i2−4i24i2−4i22-22-20000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000i2−i2i2−i2000000000000000000000000000000000000000000
χ948-88-8-4-400-4-4444442−42−424222-2-20000−222222−22−222222−2200000000000000002−2−22000000000000000000000000000000000000000000
χ958-88-8-4-400-4-44444−424242−4222-2-2000022−22−222222−22−22220000000000000000−222−2000000000000000000000000000000000000000000
χ968-8-88-4-4-884444-4-400002-2-2244-4-40000000000000000000000-220000000000000000000000000000000000000000000000

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