Finite Group Databasebeta

← Group #11792274

Character table — Group #11792274

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666666666366666666612121212121212124412121212121212121212121212121212121212124444121212121212121224446688121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-111
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000002-20000022-2-20000000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000-2200000-2-2220000000000
χ112222222-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002002-1-1220000-1-1-1-1-1-10000
χ122222222-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-200-211-2-200001111110000
χ132222222-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1111111110000000000002002-1-1-2-20000-1-111110000
χ142222222-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-111111111000000000000-200-21122000011-1-1-1-10000
χ15222222-122222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-102200000-1-1-1-10000000000
χ16222222-122222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110-2-20000011110000000000
χ17222222-122222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-10-2-20000011110000000000
χ18222222-122222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12222-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-21111111102200000-1-1-1-10000000000
χ19222222-12-2-2-2-2-1-1-122-1-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i302-200000-1-1110000000000
χ20222222-12-2-2-2-2-1-1-122-1-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-200−i3−i3i3i300001111−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i30-220000011-1-10000000000
χ21222222-12-2-2-2-2-1-1-122-1-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i30-220000011-1-10000000000
χ22222222-12-2-2-2-2-1-1-122-1-1-1-12-122-1-1-1-1-1-1-11111-2-2-2-200i3i3−i3−i300001111i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i302-200000-1-1110000000000
χ232222-2-2222-22-22-2-2222-2-2222-2-222-2-2-2-2222-2-22-2-22000000000022-2-200000000000000000000200-222000000-2-200000000
χ242222-2-2222-22-22-2-2222-2-2222-2-222-2-2-2-2222-2-22-2-22000000000022-2-200000000000000000000-2002-2-20000002200000000
χ252222-2-222-22-222-2-2222-2-2222-2-222-2-2-2-22-2-222-222-20000000000-2-222000000000000000000000000000000000000002-200
χ262222-2-222-22-222-2-2222-2-2222-2-222-2-2-2-22-2-222-222-20000000000-2-22200000000000000000000000000000000000000-2200
χ272222-2-22-12-22-22-2-2-1-12-2-22-1-111-1-11111-122-2-2-111-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i3000000000000200-2-1-100000011−i3−i3i3i30000
χ282222-2-22-12-22-22-2-2-1-12-2-22-1-111-1-11111-122-2-2-111-1000000−i3−i3i3i3-1-111−i3−i3i3i3−i3−i3i3i3000000000000-200211000000-1-1i3i3−i3−i30000
χ292222-2-22-12-22-22-2-2-1-12-2-22-1-111-1-11111-122-2-2-111-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i3000000000000200-2-1-100000011i3i3−i3−i30000
χ302222-2-22-12-22-22-2-2-1-12-2-22-1-111-1-11111-122-2-2-111-1000000i3i3−i3−i3-1-111i3i3−i3−i3i3i3−i3−i3000000000000-200211000000-1-1−i3−i3i3i30000
χ312-2-222-22222-2-2-222-2-22-2-2-2222-2-2-222-2-222-22-222-2-200000000002-22-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ322-2-222-22222-2-2-222-2-22-2-2-2222-2-2-222-2-222-22-222-2-200000000002-22-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ332-2-222-222-2-222-222-2-22-2-2-2222-2-2-222-2-22-22-22-2-2222-22-22-22-22-2-22-222-22-22-22-20000000000000000000000000000000000
χ342-2-222-222-2-222-222-2-22-2-2-2222-2-2-222-2-22-22-22-2-222-22-22-22-22-22-22-22-22-22-22-220000000000000000000000000000000000
χ352-2-222-22-1-2-222-222112-2-2-2-1-1-1111-1-111-1-22-2211-1-12-22-22-2-11-111-11-1-11-11-11-110000000000000000−i3i3000000−i3i3−i3i3−i3i30000
χ362-2-222-22-1-2-222-222112-2-2-2-1-1-1111-1-111-1-22-2211-1-12-22-22-2-11-111-11-1-11-11-11-110000000000000000i3−i3000000i3−i3i3−i3i3−i30000
χ372-2-222-22-1-2-222-222112-2-2-2-1-1-1111-1-111-1-22-2211-1-1-22-22-221-11-11-11-11-11-11-11-10000000000000000−i3i3000000−i3i3i3−i3i3−i30000
χ382-2-222-22-1-2-222-222112-2-2-2-1-1-1111-1-111-1-22-2211-1-1-22-22-221-11-11-11-11-11-11-11-10000000000000000i3−i3000000i3−i3−i3i3−i3i30000
χ392-2-222-2-1222-2-21-1-1-2-2-11112-12-211-1-111-1-11-1122-2-200−i3i3i3−i30000-11-11−i3i3−i3i3i3−i3i3−i32i2i−2i−2i−i−iii−i−iii000000003−33−30000000000
χ402-2-222-2-1222-2-21-1-1-2-2-11112-12-211-1-111-1-11-1122-2-200−i3i3i3−i30000-11-11−i3i3−i3i3i3−i3i3−i3−2i−2i2i2iii−i−iii−i−i00000000−33−330000000000
χ412-2-222-2-1222-2-21-1-1-2-2-11112-12-211-1-111-1-11-1122-2-200i3−i3−i3i30000-11-11i3−i3i3−i3−i3i3−i3i32i2i−2i−2i−i−iii−i−iii00000000−33−330000000000
χ422-2-222-2-1222-2-21-1-1-2-2-11112-12-211-1-111-1-11-1122-2-200i3−i3−i3i30000-11-11i3−i3i3−i3−i3i3−i3i3−2i−2i2i2iii−i−iii−i−i000000003−33−30000000000
χ432-2-222-2-12-2-2221-1-1-2-2-11112-12-211-1-111-11-11-1-2-2222-2-11-112-22-21-11-1-11-11-11-11000033−3−3−3−333000000003−3−330000000000
χ442-2-222-2-12-2-2221-1-1-2-2-11112-12-211-1-111-11-11-1-2-2222-2-11-112-22-21-11-1-11-11-11-110000−3−33333−3−300000000−333−30000000000
χ452-2-222-2-12-2-2221-1-1-2-2-11112-12-211-1-111-11-11-1-2-222-221-11-1-22-221-11-11-11-11-11-1000033−3−3−3−33300000000−333−30000000000
χ462-2-222-2-12-2-2221-1-1-2-2-11112-12-211-1-111-11-11-1-2-222-221-11-1-22-221-11-11-11-11-11-10000−3−33333−3−3000000003−3−330000000000
χ472-2-22-22222-2-22-2-2-2-2-2222-222-22-2-2-2-22222-2-222-22-200000000002-2-2200000000000000000000000000000000000000002-2
χ482-2-22-22222-2-22-2-2-2-2-2222-222-22-2-2-2-22222-2-222-22-200000000002-2-220000000000000000000000000000000000000000-22
χ492-2-22-2222-222-2-2-2-2-2-2222-222-22-2-2-2-2222-222-2-22-220000000000-222-2000000000000000000000000002-20000002-2-220000
χ502-2-22-2222-222-2-2-2-2-2-2222-222-22-2-2-2-2222-222-2-22-220000000000-222-200000000000000000000000000-22000000-222-20000
χ512-2-22-222-1-222-2-2-2-211222-2-1-11-11111-1-1-1-222-21-11-1000000−i3i3i3−i31-1-11−i3i3i3−i3−i3i3i3−i30000000000000000−i3i32-20000i3−i3-111-10000
χ522-2-22-222-1-222-2-2-2-211222-2-1-11-11111-1-1-1-222-21-11-1000000−i3i3i3−i31-1-11−i3i3i3−i3−i3i3i3−i30000000000000000i3−i3-220000−i3i31-1-110000
χ532-2-22-222-1-222-2-2-2-211222-2-1-11-11111-1-1-1-222-21-11-1000000i3−i3−i3i31-1-11i3−i3−i3i3i3−i3−i3i30000000000000000−i3i3-220000i3−i31-1-110000
χ542-2-22-222-1-222-2-2-2-211222-2-1-11-11111-1-1-1-222-21-11-1000000i3−i3−i3i31-1-11i3−i3−i3i3i3−i3−i3i30000000000000000i3−i32-20000−i3i3-111-10000
χ554444444-2-4-4-4-4444-2-24444-2-2-2-2-2-2-2-2-2-2-2-4-4-4-4222200000000002222000000000000000000000000000000000000000000
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
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-211111112222222200−2i3−2i32i32i30000-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222002i32i3−2i3−2i30000-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-44-2-44-444-4-4-2-24-4-44-2-222-2-22222-2-4-4442-2-22000000000022-2-2000000000000000000000000000000000000000000
χ614444-4-4-244-44-4-22244-222-24-2-4-4-2-22222-2-2-2224-4-440000000000-2-222000000000000000000000000000000000000000000
χ624444-4-4-24-44-44-22244-222-24-2-4-4-2-22222-222-2-2-444-4000000000022-2-2000000000000000000000000000000000000000000
χ634444-4-4-2-24-44-4-222-2-2-222-2-212211-1-1-1-11-2-222-222-2000000−2i3−2i32i32i311-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ644444-4-4-2-24-44-4-222-2-2-222-2-212211-1-1-1-11-2-222-222-20000002i32i3−2i3−2i311-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ654444-4-4-2-2-44-44-222-2-2-222-2-212211-1-1-1-1122-2-22-2-220000000000-1-11133-3-3-3-3330000000000000000000000000000000000
χ664444-4-4-2-2-44-44-222-2-2-222-2-212211-1-1-1-1122-2-22-2-220000000000-1-111-3-33333-3-30000000000000000000000000000000000
χ6744-4-4004400004004-4-400-4-44004-40000-40000000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-4004400004004-4-400-4-44004-40000-4000000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-400-240000-2−2i32i34-42−2i32i32-4-200-22−2i32i3−2i32i320000000000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ7044-4-400-240000-2−2i32i34-42−2i32i32-4-200-22−2i32i3−2i32i32000000000000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ7144-4-400-240000-22i3−2i34-422i3−2i32-4-200-222i3−2i32i3−2i320000000000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ7244-4-400-240000-22i3−2i34-422i3−2i32-4-200-222i3−2i32i3−2i32000000000000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ734-44-400440000-400-44-4004-4400-440000-40000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ744-44-400440000-400-44-4004-4400-440000-4000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ754-44-400-2400002−2i32i3-4422i3−2i3-2-4-2002-2−2i32i32i3−2i320000000000000000000000000000002i−2i−2i2i2ζ11−2ζ11−2ζ112ζ112ζ7−2ζ7−2ζ72ζ70000000000000000000000
χ764-44-400-2400002−2i32i3-4422i3−2i3-2-4-2002-2−2i32i32i3−2i32000000000000000000000000000000−2i2i2i−2i−2ζ112ζ112ζ11−2ζ11−2ζ72ζ72ζ7−2ζ70000000000000000000000
χ774-44-400-24000022i3−2i3-442−2i32i3-2-4-2002-22i3−2i3−2i32i320000000000000000000000000000002i−2i−2i2i2ζ7−2ζ7−2ζ72ζ72ζ11−2ζ11−2ζ112ζ110000000000000000000000
χ784-44-400-24000022i3−2i3-442−2i32i3-2-4-2002-22i3−2i3−2i32i32000000000000000000000000000000−2i2i2i−2i−2ζ72ζ72ζ7−2ζ7−2ζ112ζ112ζ11−2ζ110000000000000000000000
χ794-4-444-44-244-4-4-444224-4-4-4-2-2-2222-2-222-24-44-4-2-2220000000000-22-22000000000000000000000000000000000000000000
χ804-4-444-4-2-244-4-42-2-222-2222-21-22-1-111-1-11-22-22-2-22200−2i32i32i3−2i300001-11-1i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000
χ814-4-444-4-2-244-4-42-2-222-2222-21-22-1-111-1-11-22-22-2-222002i3−2i3−2i32i300001-11-1−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000
χ824-4-444-4-2-2-4-4442-2-222-2222-21-22-1-111-1-112-22-222-2-24-4-22-22-22-22-11-111-11-11-11-10000000000000000000000000000000000
χ834-4-444-4-2-2-4-4442-2-222-2222-21-22-1-111-1-112-22-222-2-2-442-22-22-22-2-11-11-11-11-11-110000000000000000000000000000000000
χ844-4-44-444-24-4-44-4-4-422444-4-2-22-22222-2-2-24-4-44-22-220000000000-222-2000000000000000000000000000000000000000000
χ854-4-44-44-244-4-44222-4-4-2-2-224-2-442222-2-2-2-222-24-44-40000000000-222-2000000000000000000000000000000000000000000
χ864-4-44-44-24-444-4222-4-4-2-2-224-2-442222-2-2-22-2-22-44-4400000000002-2-22000000000000000000000000000000000000000000
χ874-4-44-44-2-24-4-4422222-2-2-22-212-2-1-1-1-1111-222-2-22-2200000000001-1-113-3-33-333-30000000000000000000000000000000000
χ884-4-44-44-2-24-4-4422222-2-2-22-212-2-1-1-1-1111-222-2-22-2200000000001-1-11-333-33-3-330000000000000000000000000000000000
χ894-4-44-44-2-2-444-422222-2-2-22-212-2-1-1-1-11112-2-222-22-2000000−2i32i32i3−2i3-111-1i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000
χ904-4-44-44-2-2-444-422222-2-2-22-212-2-1-1-1-11112-2-222-22-20000002i3−2i3−2i32i3-111-1−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000
χ9188-8-8008-40000800-44-800-84-400-44000040000000000000000000000000000000000000000000000000000000000000000
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
χ948-88-8008-40000-8004-4-80084-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004−4i34i34-444i3−4i3-44200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044i3−4i34-44−4i34i3-44200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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