Finite Group Databasebeta

← Group #11889252

Character table — Group #11889252

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222224444444444444444444444488888888888888888888121212121212121212121212121212121212121212122424242424242424242424242472727272
order122233444466666612121212222366666666612121212121212121212466666666612121212121212121212244444668888121224242424242424242446612121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1111-1-1-1-1111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111111111-1-11-1-1-11111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1
χ6111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111111111111111-1-1-1-1-11-1-1-1-11-1-1-1-111
χ7111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11111-111-1-111
χ8111111111111111111111-1-1111-1-1-1-11111111111111-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-111-1-1-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-11-1111-11111-1-1-1-11111-1-1-1-11-1-111-111-1-11-1-1-11-11
χ10111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-11-1-1-11-111-1-111-1-1-1-1-1-111111-1111-1-1-1111-1-11-11-1
χ11111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1-1111-11-1-111-1-1111111-1-1-1-1-11-1-1-1111-1-1-1111-11-1
χ12111111-1-111111111-1-1-1-1-1111-1-11111111111-1-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1-11-1-1-11-1-1-1-11111-1-1-1-11111-111-1-11-1-111-111-11-11
χ13111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1111-111-1-111-1-1-1-1-1-11111-11-1-1-1-111-1-1111-111-1
χ14111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111-1-1-11-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1111111-1-11
χ15111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1111-11-1-1-1-11111-1-1-1-111111-1-111111-1-1-1-1-11-1-11
χ16111111-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-11-1-1-11-1-111-1-1111111-1-1-1-11-11111-1-111-1-1-1-111-1
χ1722222222-2-22222222222-2002-2-20000222-2-2-2222222-2000-2-2-200000000-2-200002200-2-2220000220000000000000-20000-2000000
χ1822222222-2-22222222222-2002-2-20000222-2-2-2222222-2000-2-2-200000000-2-20000-2-20022-2-20000-2-20000000000000200002000000
χ19222222-2-2-2-2222222-2-2-2-22002220000222-2-2-2-2-2-2-2-2-2-200022200000000-2-200002-200-22220000-2-2000000000000020000-2000000
χ20222222-2-2-2-2222222-2-2-2-22002220000222-2-2-2-2-2-2-2-2-2-200022200000000-2-20000-22002-2-2-20000220000000000000-200002000000
χ2122222-12222-1222-1-12222222-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220022-1-10000-1-100000000220-1-1-10000-1-1-10000
χ2222222-12222-1222-1-12222222-122-1-1-1-1-1-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-21100001100000000-2-2011100001110000
χ2322222-12222-1222-1-122222-2-2-1221111-1-1-12-1-1-1-1-1-1-1-12-2-2-2-1-1-11111-2-211-1-11111220022-1-10000-1-100000000-2-2011-10000-1110000
χ2422222-12222-1222-1-122222-2-2-1221111-1-1-12-1-1-1-1-1-1-1-12-2-2-2-1-1-11111-2-211-1-11111-2-200-2-21100001100000000220-1-1100001-1-10000
χ2522222-122-2-2-1222-1-12222-200-1-2-2−i3−i3i3i3-1-1-1-211-1-1-1-1-1-1-2000111−i3−i3i3i300−i3i311−i3−i3i3i32200-2-2-1-10000-1-100000000000−i3i3100001−i3i30000
χ2622222-122-2-2-1222-1-12222-200-1-2-2−i3−i3i3i3-1-1-1-211-1-1-1-1-1-1-2000111−i3−i3i3i300−i3i311−i3−i3i3i3-2-200221100001100000000000i3−i3-10000-1i3−i30000
χ2722222-122-2-2-1222-1-12222-200-1-2-2i3i3−i3−i3-1-1-1-211-1-1-1-1-1-1-2000111i3i3−i3−i300i3−i311i3i3−i3−i32200-2-2-1-10000-1-100000000000i3−i3100001i3−i30000
χ2822222-122-2-2-1222-1-12222-200-1-2-2i3i3−i3−i3-1-1-1-211-1-1-1-1-1-1-2000111i3i3−i3−i300i3−i311i3i3−i3−i3-2-200221100001100000000000−i3i3-10000-1−i3i30000
χ2922222-1-2-222-1222-1-1-2-2-2-2-222-1-2-2-1-1-1-1-1-1-12-1-11111112-222111-1-1-1-1-2-211-1-111112-2002-2-1-1000011000000002-20-1-110000-1110000
χ3022222-1-2-222-1222-1-1-2-2-2-2-222-1-2-2-1-1-1-1-1-1-12-1-11111112-222111-1-1-1-1-2-211-1-11111-2200-22110000-1-100000000-22011-100001-1-10000
χ3122222-1-2-222-1222-1-1-2-2-2-2-2-2-2-1-2-21111-1-1-12-1-111111122-2-2111111122-1-1-1-1-1-1-1-12-2002-2-1-100001100000000-2201110000-1-1-10000
χ3222222-1-2-222-1222-1-1-2-2-2-2-2-2-2-1-2-21111-1-1-12-1-111111122-2-2111111122-1-1-1-1-1-1-1-1-2200-22110000-1-1000000002-20-1-1-100001110000
χ3322222-1-2-2-2-2-1222-1-1-2-2-2-2200-122−i3−i3i3i3-1-1-1-211111111-2000-1-1-1−i3−i3i3i300i3−i311i3i3−i3−i32-200-22-1-100001100000000000−i3i3-100001i3−i30000
χ3422222-1-2-2-2-2-1222-1-1-2-2-2-2200-122−i3−i3i3i3-1-1-1-211111111-2000-1-1-1−i3−i3i3i300i3−i311i3i3−i3−i3-22002-2110000-1-100000000000i3−i310000-1−i3i30000
χ3522222-1-2-2-2-2-1222-1-1-2-2-2-2200-122i3i3−i3−i3-1-1-1-211111111-2000-1-1-1i3i3−i3−i300−i3i311−i3−i3i3i32-200-22-1-100001100000000000i3−i3-100001−i3i30000
χ3622222-1-2-2-2-2-1222-1-1-2-2-2-2200-122i3i3−i3−i3-1-1-1-211111111-2000-1-1-1i3i3−i3−i300−i3i311−i3−i3i3i3-22002-2110000-1-100000000000−i3i310000-1i3−i30000
χ372222-1222222-1-1-122-1-1-1-1222-1-1-12222-1-1-1-12222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-100220000222200-1-1-1-1-1-1-1-1002000-1-1-1-10000000
χ382222-1222222-1-1-122-1-1-1-1222-1-1-12222-1-1-1-12222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-20000-2-2-2-2001111111100-200011110000000
χ392222-1222222-1-1-122-1-1-1-12-2-2-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-2112-1-1111111-2-2-1-1111100220000-2-2-2-20011111111002000-1-1-1-10000000
χ402222-1222222-1-1-122-1-1-1-12-2-2-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-2112-1-1111111-2-2-1-1111100-2-20000222200-1-1-1-1-1-1-1-100-200011110000000
χ412222-12-2-2222-1-1-1221111-222-1112222-1-1-1-122-2-21111-1-2-1-1-211-1-1-1-111-2-2-1-111110022000022-2-200-1-1-1-1111100-2000-1-1110000000
χ422222-12-2-2222-1-1-1221111-222-1112222-1-1-1-122-2-21111-1-2-1-1-211-1-1-1-111-2-2-1-1111100-2-20000-2-222001111-1-1-1-100200011-1-10000000
χ432222-12-2-2222-1-1-1221111-2-2-2-111-2-2-2-2-1-1-1-122-2-21111-1211-2111111-1-122-1-1-1-1-1-100220000-2-222001111-1-1-1-100-2000-1-1110000000
χ442222-12-2-2222-1-1-1221111-2-2-2-111-2-2-2-2-1-1-1-122-2-21111-1211-2111111-1-122-1-1-1-1-1-100-2-2000022-2-200-1-1-1-1111100200011-1-10000000
χ452-22-222002-2-22-2-22-2000002-22002-22-2-2-2222-2000000-202-20002-22-200002-20000002i−2i00002i−2i00002i2i−2i−2i00000000002i−2i000000000
χ462-22-222002-2-22-2-22-2000002-22002-22-2-2-2222-2000000-202-20002-22-200002-2000000−2i2i0000−2i2i0000−2i−2i2i2i0000000000−2i2i000000000
χ472-22-222002-2-22-2-22-200000-22200-22-22-2-2222-2000000-20-22000-22-2200002-20000002i−2i0000−2i2i0000−2i−2i2i2i00000000002i−2i000000000
χ482-22-222002-2-22-2-22-200000-22200-22-22-2-2222-2000000-20-22000-22-2200002-2000000−2i2i00002i−2i00002i2i−2i−2i0000000000−2i2i000000000
χ492-22-2-12002-2-2-1112-2−i3−i3i3i302-2-1−i3i32-22-211-1-12-200−i3−i3i3i310-110−i3i3-11-11−i3i300-11−i3i3−i3i3002i−2i00002i−2i0000−i−iii33−3−3000000−ii3−30000000
χ502-22-2-12002-2-2-1112-2−i3−i3i3i302-2-1−i3i32-22-211-1-12-200−i3−i3i3i310-110−i3i3-11-11−i3i300-11−i3i3−i3i300−2i2i0000−2i2i0000ii−i−i−3−333000000i−i−330000000
χ512-22-2-12002-2-2-1112-2−i3−i3i3i30-22-1−i3i3-22-2211-1-12-200−i3−i3i3i3101-10−i3i31-11-1i3−i300-11i3−i3i3−i3002i−2i0000−2i2i0000ii−i−i−3−333000000−ii3−30000000
χ522-22-2-12002-2-2-1112-2−i3−i3i3i30-22-1−i3i3-22-2211-1-12-200−i3−i3i3i3101-10−i3i31-11-1i3−i300-11i3−i3i3−i300−2i2i00002i−2i0000−i−iii33−3−3000000i−i−330000000
χ532-22-2-12002-2-2-1112-2i3i3−i3−i302-2-1i3−i32-22-211-1-12-200i3i3−i3−i310-110i3−i3-11-11i3−i300-11i3−i3i3−i3002i−2i00002i−2i0000−i−iii−3−333000000−ii−330000000
χ542-22-2-12002-2-2-1112-2i3i3−i3−i302-2-1i3−i32-22-211-1-12-200i3i3−i3−i310-110i3−i3-11-11i3−i300-11i3−i3i3−i300−2i2i0000−2i2i0000ii−i−i33−3−3000000i−i3−30000000
χ552-22-2-12002-2-2-1112-2i3i3−i3−i30-22-1i3−i3-22-2211-1-12-200i3i3−i3−i3101-10i3−i31-11-1−i3i300-11−i3i3−i3i3002i−2i0000−2i2i0000ii−i−i33−3−3000000−ii−330000000
χ562-22-2-12002-2-2-1112-2i3i3−i3−i30-22-1i3−i3-22-2211-1-12-200i3i3−i3−i3101-10i3−i31-11-1−i3i300-11−i3i3−i3i300−2i2i00002i−2i0000−i−iii−3−333000000i−i3−30000000
χ574444-2444-4-44-2-2-244-2-2-2-2-400-2220000-2-2-22-4-444-2-2-2-22000-42200000000220000000000000000000000000000000000000000000
χ584444-24-4-4-4-44-2-2-2442222400-2-2-20000-2-2-22-4-4-4-4222220004-2-200000000220000000000000000000000000000000000000000000
χ594444-2-24444-2-2-2-2-2-2-2-2-2-24441-2-2-2-2-2-2111-2-2-2-2-21111-24-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ604444-2-24444-2-2-2-2-2-2-2-2-2-24-4-41-2-22222111-2-2-2-2-21111-2-422-211-1-1-1-1222211-1-1-1-1000000000000000000000000000000000000000
χ614444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-400122−2i3−2i32i32i3111222-2-2111120002-1-1i3i3−i3−i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ624444-2-244-4-4-2-2-2-2-2-2-2-2-2-2-4001222i32i3−2i3−2i3111222-2-2111120002-1-1−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ634444-2-2-4-444-2-2-2-2-2-22222-444122-2-2-2-2111-2-2-222-1-1-1-1-2-4-2-22-1-11111222211-1-1-1-1000000000000000000000000000000000000000
χ644444-2-2-4-444-2-2-2-2-2-22222-4-4-41222222111-2-2-222-1-1-1-1-24222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ654444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-2−2i3−2i32i32i311122222-1-1-1-12000-211i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i3000000000000000000000000000000000000000
χ664444-2-2-4-4-4-4-2-2-2-2-2-222224001-2-22i32i3−2i3−2i311122222-1-1-1-12000-211−i3−i3i3i300−2i32i3-1-1i3i3−i3−i3000000000000000000000000000000000000000
χ6744-4-4440000-4-44-4-44000000040000004-4-40000000000000000000000000000000000000000−2i22i2000000−2i22i2−2i22i200000000000000000
χ6844-4-4440000-4-44-4-44000000040000004-4-400000000000000000000000000000000000000002i2−2i20000002i2−2i22i2−2i200000000000000000
χ6944-4-4-240000-42-22-4423−2323−23000-2000000-2220000023−2323−230000000000000000000000000000000−2i22i200i6−i6i6−i6i2−i2i2−i200000000000000000
χ7044-4-4-240000-42-22-4423−2323−23000-2000000-2220000023−2323−2300000000000000000000000000000002i2−2i200−i6i6−i6i6−i2i2−i2i200000000000000000
χ7144-4-4-240000-42-22-44−2323−2323000-2000000-22200000−2323−23230000000000000000000000000000000−2i22i200−i6i6−i6i6i2−i2i2−i200000000000000000
χ7244-4-4-240000-42-22-44−2323−2323000-2000000-22200000−2323−232300000000000000000000000000000002i2−2i200i6−i6i6−i6−i2i2−i2i200000000000000000
χ734-44-44400-44-44-4-44-400000004000000-4-44-4-44000000400000000000000-440000000000000000000000000000000000000000000
χ744-44-44-2004-424-4-4-22000004-4-200-22-2222-24-22000000-404-4000-22-220000-220000000000000000000000000000000000000000000
χ754-44-44-2004-424-4-4-2200000-44-2002-22-222-24-22000000-40-440002-22-20000-220000000000000000000000000000000000000000000
χ764-44-44-200-4424-4-4-220000000-200−2i32i32i3−2i322-2-42-20000004000000−2i32i32i3−2i300002-20000000000000000000000000000000000000000000
χ774-44-44-200-4424-4-4-220000000-2002i3−2i3−2i32i322-2-42-200000040000002i3−2i3−2i32i300002-20000000000000000000000000000000000000000000
χ784-44-4-2400-44-4-2224-4−2i3−2i32i32i3000-22i3−2i3000022-22-4400−2i3−2i32i32i3-200002i3−2i3000000002-20000000000000000000000000000000000000000000
χ794-44-4-2400-44-4-2224-42i32i3−2i3−2i3000-2−2i32i3000022-22-44002i32i3−2i3−2i3-20000−2i32i3000000002-20000000000000000000000000000000000000000000
χ804-44-4-2-2004-42-222-22−2i3−2i32i32i304-41−2i32i3-22-22-1-11-2-2200i3i3−i3−i320-220i3−i31-11-1−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000
χ814-44-4-2-2004-42-222-22−2i3−2i32i32i30-441−2i32i32-22-2-1-11-2-2200i3i3−i3−i3202-20i3−i3-11-112i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000
χ824-44-4-2-2004-42-222-222i32i3−2i3−2i304-412i3−2i3-22-22-1-11-2-2200−i3−i3i3i320-220−i3i31-11-12i3−2i3001-1−i3i3−i3i3000000000000000000000000000000000000000
χ834-44-4-2-2004-42-222-222i32i3−2i3−2i30-4412i3−2i32-22-2-1-11-2-2200−i3−i3i3i3202-20−i3i3-11-11−2i32i3001-1i3−i3i3−i3000000000000000000000000000000000000000
χ844-44-4-2-200-442-222-22−2i3−2i32i32i300012i3−2i3−2i32i32i3−2i3-1-1122-200i3i3−i3−i3-20000−i3i3i3−i3−i3i30000-11-333-3000000000000000000000000000000000000000
χ854-44-4-2-200-442-222-22−2i3−2i32i32i300012i3−2i32i3−2i3−2i32i3-1-1122-200i3i3−i3−i3-20000−i3i3−i3i3i3−i30000-113-3-33000000000000000000000000000000000000000
χ864-44-4-2-200-442-222-222i32i3−2i3−2i30001−2i32i3−2i32i32i3−2i3-1-1122-200−i3−i3i3i3-20000i3−i3i3−i3−i3i30000-113-3-33000000000000000000000000000000000000000
χ874-44-4-2-200-442-222-222i32i3−2i3−2i30001−2i32i32i3−2i3−2i32i3-1-1122-200−i3−i3i3i3-20000i3−i3−i3i3i3−i30000-11-333-3000000000000000000000000000000000000000
χ884-4-44444i−4i004-4-44-4-44i−4i−4i4i0004000000-44-40004i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ894-4-4444−4i4i004-4-44-4-4−4i4i4i−4i0004000000-44-4000−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ904-4-444-24i−4i00-2-4-44224i−4i−4i4i000-20000002-22000−2i2i−2i2i2i−2i000000000000000000000000000−2i32i3000023−230000000000000000000000000
χ914-4-444-24i−4i00-2-4-44224i−4i−4i4i000-20000002-22000−2i2i−2i2i2i−2i0000000000000000000000000002i3−2i30000−23230000000000000000000000000
χ924-4-444-2−4i4i00-2-4-4422−4i4i4i−4i000-20000002-220002i−2i2i−2i−2i2i000000000000000000000000000−2i32i30000−23230000000000000000000000000
χ934-4-444-2−4i4i00-2-4-4422−4i4i4i−4i000-20000002-220002i−2i2i−2i−2i2i0000000000000000000000000002i3−2i3000023−230000000000000000000000000
χ944-4-44-244i−4i00422-2-4-4−2i2i2i−2i000-20000002-220004i−4i−2i2i2i−2i000000000000000000000000000000000006−6−66i6−i6−i6i600000000000000000
χ954-4-44-244i−4i00422-2-4-4−2i2i2i−2i000-20000002-220004i−4i−2i2i2i−2i00000000000000000000000000000000000−666−6−i6i6i6−i600000000000000000
χ964-4-44-24−4i4i00422-2-4-42i−2i−2i2i000-20000002-22000−4i4i2i−2i−2i2i000000000000000000000000000000000006−6−66−i6i6i6−i600000000000000000
χ974-4-44-24−4i4i00422-2-4-42i−2i−2i2i000-20000002-22000−4i4i2i−2i−2i2i00000000000000000000000000000000000−666−6i6−i6−i6i600000000000000000
χ9888-8-88-400004-88-84-40000000-4000000-444000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4000044-444-443−4343−4300020000002-2-200000−2323−2323000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4000044-444-4−4343−434300020000002-2-20000023−2323−23000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48i−8i00-444-444−4i4i4i−4i0002000000-22-2000−4i4i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4−8i8i00-444-4444i−4i−4i4i0002000000-22-20004i−4i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000

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