Finite Group Databasebeta

← Group #11792241

Character table — Group #11792241

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212226666666666666666121212124444121212121212121224446688121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111111111-1-111
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000002-2000000022-2-200000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-20000000000000-220000000-2-22200000000
χ112222222-12222222-1-1222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002002-1-122-1-10000-1-1-1-10000
χ122222222-12222222-1-1222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-211-2-211000011110000
χ132222222-12222222-1-1222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2111111111111-1-1-1-10000000000002002-1-1-2-2-1-1000011110000
χ142222222-12222222-1-1222-12-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-2111111111111-1-1-1-1000000000000-200-21122110000-1-1-1-10000
χ15222222-122222-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10220000000-1-1-1-100000000
χ16222222-122222-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-20000000111100000000
χ17222222-122222-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10-2-20000000111100000000
χ18222222-122222-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-211111111-1-1-1-1-2-2-2-2111111110220000000-1-1-1-100000000
χ19222222-12-2-2-2-2-1-1-122-1-1-12-1-122-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i311110000−i3−i3−i3−i3i3i3i3i302-20000000-1-11100000000
χ20222222-12-2-2-2-2-1-1-122-1-1-12-1-122-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i311110000i3i3i3i3−i3−i3−i3−i30-22000000011-1-100000000
χ21222222-12-2-2-2-2-1-1-122-1-1-12-1-122-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i311110000−i3−i3−i3−i3i3i3i3i30-22000000011-1-100000000
χ22222222-12-2-2-2-2-1-1-122-1-1-12-1-122-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i311110000i3i3i3i3−i3−i3−i3−i302-20000000-1-11100000000
χ232222-2-2222-22-22-2-2222-2-2222-2-222-2-2-2-2222-2-22-2-2200000000000000000022-2-2000000000000200-22200-2-2000000000000
χ242222-2-2222-22-22-2-2222-2-2222-2-222-2-2-2-2222-2-22-2-2200000000000000000022-2-2000000000000-2002-2-20022000000000000
χ252222-2-222-22-222-2-2222-2-2222-2-222-2-2-2-22-2-222-222-2000000000000000000-2-2220000000000000000000000000000002-200
χ262222-2-222-22-222-2-2222-2-2222-2-222-2-2-2-22-2-222-222-2000000000000000000-2-222000000000000000000000000000000-2200
χ272222-2-22-12-22-22-2-2-1-12-2-2-12-111-1-11111-122-2-2-111-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-111000000000000200-2-1-100110000−i3−i3i3i30000
χ282222-2-22-12-22-22-2-2-1-12-2-2-12-111-1-11111-122-2-2-111-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-111000000000000-20021100-1-10000i3i3−i3−i30000
χ292222-2-22-12-22-22-2-2-1-12-2-2-12-111-1-11111-122-2-2-111-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-111000000000000200-2-1-100110000i3i3−i3−i30000
χ302222-2-22-12-22-22-2-2-1-12-2-2-12-111-1-11111-122-2-2-111-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-111000000000000-20021100-1-10000−i3−i3i3i30000
χ312-2-222-22222-2-2-222-2-22-2-22-222-2-2-222-2-222-22-222-2-20000000000000000002-22-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ322-2-222-22222-2-2-222-2-22-2-22-222-2-2-222-2-222-22-222-2-20000000000000000002-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ332-2-222-222-2-222-222-2-22-2-22-222-2-2-222-2-22-22-22-2-2222-22-22-22-22-22-22-22-22-2-22-220000000000000000000000000000000000
χ342-2-222-222-2-222-222-2-22-2-22-222-2-2-222-2-22-22-22-2-222-22-22-22-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ352-2-222-22-1-2-222-222112-2-2-1-2-1-1111-1-111-1-22-2211-1-12-22-22-2-11-11-11-11-11-111-11-10000000000000000−i3i300−i3i30000−i3i3−i3i30000
χ362-2-222-22-1-2-222-222112-2-2-1-2-1-1111-1-111-1-22-2211-1-12-22-22-2-11-11-11-11-11-111-11-10000000000000000i3−i300i3−i30000i3−i3i3−i30000
χ372-2-222-22-1-2-222-222112-2-2-1-2-1-1111-1-111-1-22-2211-1-1-22-22-221-11-11-11-11-11-11-11-10000000000000000−i3i300−i3i30000i3−i3i3−i30000
χ382-2-222-22-1-2-222-222112-2-2-1-2-1-1111-1-111-1-22-2211-1-1-22-22-221-11-11-11-11-11-11-11-10000000000000000i3−i300i3−i30000−i3i3−i3i30000
χ392-2-222-2-1222-2-21-1-1-2-2-11121-12-211-1-111-1-11-1122-2-200−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-11-112i2i−2i−2i−i−iii−i−iii00000000003−33−300000000
χ402-2-222-2-1222-2-21-1-1-2-2-11121-12-211-1-111-1-11-1122-2-200−i3i3i3−i30000−i3i3−i3i3i3−i3i3−i3-11-11−2i−2i2i2iii−i−iii−i−i0000000000−33−3300000000
χ412-2-222-2-1222-2-21-1-1-2-2-11121-12-211-1-111-1-11-1122-2-200i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-11-112i2i−2i−2i−i−iii−i−iii0000000000−33−3300000000
χ422-2-222-2-1222-2-21-1-1-2-2-11121-12-211-1-111-1-11-1122-2-200i3−i3−i3i30000i3−i3i3−i3−i3i3−i3i3-11-11−2i−2i2i2iii−i−iii−i−i00000000003−33−300000000
χ432-2-222-2-12-2-2221-1-1-2-2-11121-12-211-1-111-11-11-1-2-2222-2-11-112-22-2-11-11-11-111-11-1000033−3−3−3−33300000000003−3−3300000000
χ442-2-222-2-12-2-2221-1-1-2-2-11121-12-211-1-111-11-11-1-2-2222-2-11-112-22-2-11-11-11-111-11-10000−3−33333−3−30000000000−333−300000000
χ452-2-222-2-12-2-2221-1-1-2-2-11121-12-211-1-111-11-11-1-2-222-221-11-1-22-221-11-11-11-11-11-1000033−3−3−3−3330000000000−333−300000000
χ462-2-222-2-12-2-2221-1-1-2-2-11121-12-211-1-111-11-11-1-2-222-221-11-1-22-221-11-11-11-11-11-10000−3−33333−3−300000000003−3−3300000000
χ472-2-22-22222-2-22-2-2-2-2-22222-22-22-2-2-2-22222-2-222-22-20000000000000000002-2-22000000000000000000000000000000002-2
χ482-2-22-22222-2-22-2-2-2-2-22222-22-22-2-2-2-22222-2-222-22-20000000000000000002-2-2200000000000000000000000000000000-22
χ492-2-22-2222-222-2-2-2-2-2-22222-22-22-2-2-2-2222-222-2-22-22000000000000000000-222-20000000000000000002-20000002-2-220000
χ502-2-22-2222-222-2-2-2-2-2-22222-22-22-2-2-2-2222-222-2-22-22000000000000000000-222-2000000000000000000-22000000-222-20000
χ512-2-22-222-1-222-2-2-2-211222-1-2-11-11111-1-1-1-222-21-11-1000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i31-1-110000000000000000−i3i32-2i3−i30000-111-10000
χ522-2-22-222-1-222-2-2-2-211222-1-2-11-11111-1-1-1-222-21-11-1000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i31-1-110000000000000000i3−i3-22−i3i300001-1-110000
χ532-2-22-222-1-222-2-2-2-211222-1-2-11-11111-1-1-1-222-21-11-1000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i31-1-110000000000000000−i3i3-22i3−i300001-1-110000
χ542-2-22-222-1-222-2-2-2-211222-1-2-11-11111-1-1-1-222-21-11-1000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i31-1-110000000000000000i3−i32-2−i3i30000-111-10000
χ554444444-2-4-4-4-4444-2-2444-24-2-2-2-2-2-2-2-2-2-2-4-4-4-4222200000000000000000022220000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-211111112222222200−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i3-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222002i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i3-1-1-1-10000000000000000000000000000000000
χ604444-4-44-2-44-444-4-4-2-24-4-4-24-222-2-22222-2-4-4442-2-2200000000000000000022-2-20000000000000000000000000000000000
χ614444-4-4-244-44-4-22244-2224-2-2-4-4-2-22222-2-2-2224-4-44000000000000000000-2-2220000000000000000000000000000000000
χ624444-4-4-24-44-44-22244-2224-2-2-4-4-2-22222-222-2-2-444-400000000000000000022-2-20000000000000000000000000000000000
χ634444-4-4-2-24-44-4-222-2-2-222-2-212211-1-1-1-11-2-222-222-2000000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i311-1-10000000000000000000000000000000000
χ644444-4-4-2-24-44-4-222-2-2-222-2-212211-1-1-1-11-2-222-222-20000002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i311-1-10000000000000000000000000000000000
χ654444-4-4-2-2-44-44-222-2-2-222-2-212211-1-1-1-1122-2-22-2-22000000000033-3-3-3-333-1-1110000000000000000000000000000000000
χ664444-4-4-2-2-44-44-222-2-2-222-2-212211-1-1-1-1122-2-22-2-220000000000-3-33333-3-3-1-1110000000000000000000000000000000000
χ6744-4-4004400004004-4-400-4-44004-40000-40000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ6844-4-4004400004004-4-400-4-44004-40000-4000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ6944-4-400-240000-2−2i32i34-42−2i32i3-42-200-22−2i32i3−2i32i320000000000000000000000000000002i−2i2i−2i2ζ7−2ζ72ζ7−2ζ72ζ11−2ζ112ζ11−2ζ110000000000000000000000
χ7044-4-400-240000-2−2i32i34-42−2i32i3-42-200-22−2i32i3−2i32i32000000000000000000000000000000−2i2i−2i2i−2ζ72ζ7−2ζ72ζ7−2ζ112ζ11−2ζ112ζ110000000000000000000000
χ7144-4-400-240000-22i3−2i34-422i3−2i3-42-200-222i3−2i32i3−2i320000000000000000000000000000002i−2i2i−2i2ζ11−2ζ112ζ11−2ζ112ζ7−2ζ72ζ7−2ζ70000000000000000000000
χ7244-4-400-240000-22i3−2i34-422i3−2i3-42-200-222i3−2i32i3−2i32000000000000000000000000000000−2i2i−2i2i−2ζ112ζ11−2ζ112ζ11−2ζ72ζ7−2ζ72ζ70000000000000000000000
χ734-44-400440000-400-44-400-44400-440000-40000000000000000000000000000002-2-222-2-222-2-220000000000000000000000
χ744-44-400440000-400-44-400-44400-440000-4000000000000000000000000000000-222-2-222-2-222-20000000000000000000000
χ754-44-400-2400002−2i32i3-4422i3−2i3-4-2-2002-2−2i32i32i3−2i320000000000000000000000000000002-2-22−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000000000000000000000
χ764-44-400-2400002−2i32i3-4422i3−2i3-4-2-2002-2−2i32i32i3−2i32000000000000000000000000000000-222-21−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000000000000000000000
χ774-44-400-24000022i3−2i3-442−2i32i3-4-2-2002-22i3−2i3−2i32i320000000000000000000000000000002-2-22−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000000000000000000000
χ784-44-400-24000022i3−2i3-442−2i32i3-4-2-2002-22i3−2i3−2i32i32000000000000000000000000000000-222-21+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000000000000000000000
χ794-4-444-44-244-4-4-444224-4-4-2-4-2-2222-2-222-24-44-4-2-222000000000000000000-22-220000000000000000000000000000000000
χ804-4-444-4-2-244-4-42-2-222-222-221-22-1-111-1-11-22-22-2-22200−2i32i32i3−2i30000i3−i3i3−i3−i3i3−i3i31-11-10000000000000000000000000000000000
χ814-4-444-4-2-244-4-42-2-222-222-221-22-1-111-1-11-22-22-2-222002i3−2i3−2i32i30000−i3i3−i3i3i3−i3i3−i31-11-10000000000000000000000000000000000
χ824-4-444-4-2-2-4-4442-2-222-222-221-22-1-111-1-112-22-222-2-24-4-22-22-22-221-11-11-11-1-11-110000000000000000000000000000000000
χ834-4-444-4-2-2-4-4442-2-222-222-221-22-1-111-1-112-22-222-2-2-442-22-22-22-2-11-11-11-11-11-110000000000000000000000000000000000
χ844-4-44-444-24-4-44-4-4-422444-2-4-22-22222-2-2-24-4-44-22-22000000000000000000-222-20000000000000000000000000000000000
χ854-4-44-44-244-4-44222-4-4-2-2-242-2-442222-2-2-2-222-24-44-4000000000000000000-222-20000000000000000000000000000000000
χ864-4-44-44-24-444-4222-4-4-2-2-242-2-442222-2-2-22-2-22-44-440000000000000000002-2-220000000000000000000000000000000000
χ874-4-44-44-2-24-4-4422222-2-2-2-2212-2-1-1-1-1111-222-2-22-2200000000003-3-33-333-31-1-110000000000000000000000000000000000
χ884-4-44-44-2-24-4-4422222-2-2-2-2212-2-1-1-1-1111-222-2-22-220000000000-333-33-3-331-1-110000000000000000000000000000000000
χ894-4-44-44-2-2-444-422222-2-2-2-2212-2-1-1-1-11112-2-222-22-2000000−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i3-111-10000000000000000000000000000000000
χ904-4-44-44-2-2-444-422222-2-2-2-2212-2-1-1-1-11112-2-222-22-20000002i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i3-111-10000000000000000000000000000000000
χ9188-8-8008-40000800-44-8004-8-400-44000040000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4−4i34i3-444−4i34i3442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44i3−4i3-4444i3−4i3442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-40000-8004-4-80048-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004−4i34i34-444i3−4i34-4200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044i3−4i34-44−4i34i34-4200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.