Finite Group Databasebeta

← Group #72341568

Character table — Group #72341568

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11446121212121212242424323232324848114461212121212122424243232323248481144612121212121224242432323232484811446121212121212242424323232324848
order1244224444424436121248224422444442446612124822442244444244661212482244224444424466121248
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11-11-11111-1-1111111-1-1-1-11-11-11111-1-1111111-1-1-1-11-11-11111-1-1111111-1-1-1-11-11-11111-1-1
χ311-1-11111-1-11-1-1111-1-11-111-1-11111-1-11-1-1111-1-11-111-1-11111-1-11-1-1111-1-11-111-1-11111-1-11-1-1111-1-11-1
χ411-1-111-1-11111-1-111-1-1-1111-1-111-1-11111-1-111-1-1-1111-1-111-1-11111-1-111-1-1-1111-1-111-1-11111-1-111-1-1-11
χ522222200002020-1-1-1-10022222200002020-1-1-1-10022222200002020-1-1-1-10022222200002020-1-1-1-100
χ622-2-222000020-20-1-1110022-2-222000020-20-1-1110022-2-222000020-20-1-1110022-2-222000020-20-1-11100
χ733333-11111-11-110000-1-133333-11111-11-110000-1-133333-11111-11-110000-1-133333-11111-11-110000-1-1
χ833333-1-1-1-1-1-1-1-1-100001133333-1-1-1-1-1-1-1-1-100001133333-1-1-1-1-1-1-1-1-100001133333-1-1-1-1-1-1-1-1-1000011
χ933-3-33-111-1-1-1-1110000-1133-3-33-111-1-1-1-1110000-1133-3-33-111-1-1-1-1110000-1133-3-33-111-1-1-1-1110000-11
χ1033-3-33-1-1-111-111-100001-133-3-33-1-1-111-111-100001-133-3-33-1-1-111-111-100001-133-3-33-1-1-111-111-100001-1
χ114-42i−2i002i−2i2-200001-1i−i004-42i−2i002i−2i2-200001-1i−i004-42i−2i002i−2i2-200001-1i−i004-42i−2i002i−2i2-200001-1i−i00
χ124-42i−2i00−2i2i-2200001-1i−i004-42i−2i00−2i2i-2200001-1i−i004-42i−2i00−2i2i-2200001-1i−i004-42i−2i00−2i2i-2200001-1i−i00
χ134-4−2i2i002i−2i-2200001-1−ii004-4−2i2i002i−2i-2200001-1−ii004-4−2i2i002i−2i-2200001-1−ii004-4−2i2i002i−2i-2200001-1−ii00
χ144-4−2i2i00−2i2i2-200001-1−ii004-4−2i2i00−2i2i2-200001-1−ii004-4−2i2i00−2i2i2-200001-1−ii004-4−2i2i00−2i2i2-200001-1−ii00
χ156600-222200-200-20000006600-222200-200-20000006600-222200-200-20000006600-222200-200-2000000
χ166600-22-2-200-20020000006600-22-2-200-20020000006600-22-2-200-20020000006600-22-2-200-2002000000
χ176600-2-200222-2000000006600-2-200222-2000000006600-2-200222-2000000006600-2-200222-200000000
χ186600-2-200-2-222000000006600-2-200-2-222000000006600-2-200-2-222000000006600-2-200-2-22200000000
χ198-84i−4i0000000000-11−ii008-84i−4i0000000000-11−ii008-84i−4i0000000000-11−ii008-84i−4i0000000000-11−ii00
χ208-8−4i4i0000000000-11i−i008-8−4i4i0000000000-11i−i008-8−4i4i0000000000-11i−i008-8−4i4i0000000000-11i−i00
χ2111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111
χ2311-1-11111-1-11-1-1111-1-11-1-1-111-1-1-1-111-111-1-1-111-1111-1-11111-1-11-1-1111-1-11-1-1-111-1-1-1-111-111-1-1-111-11
χ2411-1-111-1-11111-1-111-1-1-11-1-111-1-111-1-1-1-111-1-1111-111-1-111-1-11111-1-111-1-1-11-1-111-1-111-1-1-1-111-1-1111-1
χ2522222200002020-1-1-1-100-2-2-2-2-2-20000-20-2011110022222200002020-1-1-1-100-2-2-2-2-2-20000-20-20111100
χ2622-2-222000020-20-1-11100-2-222-2-20000-202011-1-10022-2-222000020-20-1-11100-2-222-2-20000-202011-1-100
χ2733333-11111-11-110000-1-1-3-3-3-3-31-1-1-1-11-11-100001133333-11111-11-110000-1-1-3-3-3-3-31-1-1-1-11-11-1000011
χ2833333-1-1-1-1-1-1-1-1-1000011-3-3-3-3-31111111110000-1-133333-1-1-1-1-1-1-1-1-1000011-3-3-3-3-31111111110000-1-1
χ2933-3-33-111-1-1-1-1110000-11-3-333-31-1-11111-1-100001-133-3-33-111-1-1-1-1110000-11-3-333-31-1-11111-1-100001-1
χ3033-3-33-1-1-111-111-100001-1-3-333-3111-1-11-1-110000-1133-3-33-1-1-111-111-100001-1-3-333-3111-1-11-1-110000-11
χ314-42i−2i002i−2i2-200001-1i−i00-44−2i2i00−2i2i-220000-11−ii004-42i−2i002i−2i2-200001-1i−i00-44−2i2i00−2i2i-220000-11−ii00
χ324-42i−2i00−2i2i-2200001-1i−i00-44−2i2i002i−2i2-20000-11−ii004-42i−2i00−2i2i-2200001-1i−i00-44−2i2i002i−2i2-20000-11−ii00
χ334-4−2i2i002i−2i-2200001-1−ii00-442i−2i00−2i2i2-20000-11i−i004-4−2i2i002i−2i-2200001-1−ii00-442i−2i00−2i2i2-20000-11i−i00
χ344-4−2i2i00−2i2i2-200001-1−ii00-442i−2i002i−2i-220000-11i−i004-4−2i2i00−2i2i2-200001-1−ii00-442i−2i002i−2i-220000-11i−i00
χ356600-222200-200-2000000-6-6002-2-2-20020020000006600-222200-200-2000000-6-6002-2-2-2002002000000
χ366600-22-2-200-2002000000-6-6002-22200200-20000006600-22-2-200-2002000000-6-6002-22200200-2000000
χ376600-2-200222-200000000-6-6002200-2-2-22000000006600-2-200222-200000000-6-6002200-2-2-2200000000
χ386600-2-200-2-22200000000-6-600220022-2-2000000006600-2-200-2-22200000000-6-600220022-2-200000000
χ398-84i−4i0000000000-11−ii00-88−4i4i00000000001-1i−i008-84i−4i0000000000-11−ii00-88−4i4i00000000001-1i−i00
χ408-8−4i4i0000000000-11i−i00-884i−4i00000000001-1−ii008-8−4i4i0000000000-11i−i00-884i−4i00000000001-1−ii00
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ42111111-1-1-1-11-11-11111-1-1111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1-1-1-1-11111-11-11-1-1-1-111
χ4311-1-11111-1-11-1-1111-1-11-111-1-11111-1-11-1-1111-1-11-1-1-111-1-1-1-111-111-1-1-111-11-1-111-1-1-1-111-111-1-1-111-11
χ4411-1-111-1-11111-1-111-1-1-1111-1-111-1-11111-1-111-1-1-11-1-111-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-1-1-111-1-1111-1
χ4522222200002020-1-1-1-10022222200002020-1-1-1-100-2-2-2-2-2-20000-20-20111100-2-2-2-2-2-20000-20-20111100
χ4622-2-222000020-20-1-1110022-2-222000020-20-1-11100-2-222-2-20000-202011-1-100-2-222-2-20000-202011-1-100
χ4733333-11111-11-110000-1-133333-11111-11-110000-1-1-3-3-3-3-31-1-1-1-11-11-1000011-3-3-3-3-31-1-1-1-11-11-1000011
χ4833333-1-1-1-1-1-1-1-1-100001133333-1-1-1-1-1-1-1-1-1000011-3-3-3-3-31111111110000-1-1-3-3-3-3-31111111110000-1-1
χ4933-3-33-111-1-1-1-1110000-1133-3-33-111-1-1-1-1110000-11-3-333-31-1-11111-1-100001-1-3-333-31-1-11111-1-100001-1
χ5033-3-33-1-1-111-111-100001-133-3-33-1-1-111-111-100001-1-3-333-3111-1-11-1-110000-11-3-333-3111-1-11-1-110000-11
χ514-42i−2i002i−2i2-200001-1i−i004-42i−2i002i−2i2-200001-1i−i00-44−2i2i00−2i2i-220000-11−ii00-44−2i2i00−2i2i-220000-11−ii00
χ524-42i−2i00−2i2i-2200001-1i−i004-42i−2i00−2i2i-2200001-1i−i00-44−2i2i002i−2i2-20000-11−ii00-44−2i2i002i−2i2-20000-11−ii00
χ534-4−2i2i002i−2i-2200001-1−ii004-4−2i2i002i−2i-2200001-1−ii00-442i−2i00−2i2i2-20000-11i−i00-442i−2i00−2i2i2-20000-11i−i00
χ544-4−2i2i00−2i2i2-200001-1−ii004-4−2i2i00−2i2i2-200001-1−ii00-442i−2i002i−2i-220000-11i−i00-442i−2i002i−2i-220000-11i−i00
χ556600-222200-200-20000006600-222200-200-2000000-6-6002-2-2-2002002000000-6-6002-2-2-2002002000000
χ566600-22-2-200-20020000006600-22-2-200-2002000000-6-6002-22200200-2000000-6-6002-22200200-2000000
χ576600-2-200222-2000000006600-2-200222-200000000-6-6002200-2-2-2200000000-6-6002200-2-2-2200000000
χ586600-2-200-2-222000000006600-2-200-2-22200000000-6-600220022-2-200000000-6-600220022-2-200000000
χ598-84i−4i0000000000-11−ii008-84i−4i0000000000-11−ii00-88−4i4i00000000001-1i−i00-88−4i4i00000000001-1i−i00
χ608-8−4i4i0000000000-11i−i008-8−4i4i0000000000-11i−i00-884i−4i00000000001-1−ii00-884i−4i00000000001-1−ii00
χ6111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ62111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1-1-1-1-11111-11-11-1-1-1-111111111-1-1-1-11-11-11111-1-1
χ6311-1-11111-1-11-1-1111-1-11-1-1-111-1-1-1-111-111-1-1-111-11-1-111-1-1-1-111-111-1-1-111-1111-1-11111-1-11-1-1111-1-11-1
χ6411-1-111-1-11111-1-111-1-1-11-1-111-1-111-1-1-1-111-1-1111-1-1-111-1-111-1-1-1-111-1-1111-111-1-111-1-11111-1-111-1-1-11
χ6522222200002020-1-1-1-100-2-2-2-2-2-20000-20-20111100-2-2-2-2-2-20000-20-2011110022222200002020-1-1-1-100
χ6622-2-222000020-20-1-11100-2-222-2-20000-202011-1-100-2-222-2-20000-202011-1-10022-2-222000020-20-1-11100
χ6733333-11111-11-110000-1-1-3-3-3-3-31-1-1-1-11-11-1000011-3-3-3-3-31-1-1-1-11-11-100001133333-11111-11-110000-1-1
χ6833333-1-1-1-1-1-1-1-1-1000011-3-3-3-3-31111111110000-1-1-3-3-3-3-31111111110000-1-133333-1-1-1-1-1-1-1-1-1000011
χ6933-3-33-111-1-1-1-1110000-11-3-333-31-1-11111-1-100001-1-3-333-31-1-11111-1-100001-133-3-33-111-1-1-1-1110000-11
χ7033-3-33-1-1-111-111-100001-1-3-333-3111-1-11-1-110000-11-3-333-3111-1-11-1-110000-1133-3-33-1-1-111-111-100001-1
χ714-42i−2i002i−2i2-200001-1i−i00-44−2i2i00−2i2i-220000-11−ii00-44−2i2i00−2i2i-220000-11−ii004-42i−2i002i−2i2-200001-1i−i00
χ724-42i−2i00−2i2i-2200001-1i−i00-44−2i2i002i−2i2-20000-11−ii00-44−2i2i002i−2i2-20000-11−ii004-42i−2i00−2i2i-2200001-1i−i00
χ734-4−2i2i002i−2i-2200001-1−ii00-442i−2i00−2i2i2-20000-11i−i00-442i−2i00−2i2i2-20000-11i−i004-4−2i2i002i−2i-2200001-1−ii00
χ744-4−2i2i00−2i2i2-200001-1−ii00-442i−2i002i−2i-220000-11i−i00-442i−2i002i−2i-220000-11i−i004-4−2i2i00−2i2i2-200001-1−ii00
χ756600-222200-200-2000000-6-6002-2-2-2002002000000-6-6002-2-2-20020020000006600-222200-200-2000000
χ766600-22-2-200-2002000000-6-6002-22200200-2000000-6-6002-22200200-20000006600-22-2-200-2002000000
χ776600-2-200222-200000000-6-6002200-2-2-2200000000-6-6002200-2-2-22000000006600-2-200222-200000000
χ786600-2-200-2-22200000000-6-600220022-2-200000000-6-600220022-2-2000000006600-2-200-2-22200000000
χ798-84i−4i0000000000-11−ii00-88−4i4i00000000001-1i−i00-88−4i4i00000000001-1i−i008-84i−4i0000000000-11−ii00
χ808-8−4i4i0000000000-11i−i00-884i−4i00000000001-1−ii00-884i−4i00000000001-1−ii008-8−4i4i0000000000-11i−i00

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