Finite Group Databasebeta

← Group #13094733

Character table — Group #13094733

Order 1512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size112222446677771212121212121212141414141414141418282828284242424242424242424242424242424242425454126126
order1233663671433662121212142424242333366664336622666666666666666628281212
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111-111111-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-11111-11-1-111-1-111-1-1-1-11111-1-1-1-1
χ51111111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32
χ61111111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-11+i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211−1−i32−1+i32
χ71111111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1−1−i32−1+i32−1−i32−1+i321-111-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-11+i321−i32
χ81111111111−1−i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1−1−i32−1+i32−1−i32−1+i32-11-1-1111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32
χ91111111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32
χ101111111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-11−i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211−1+i32−1−i32
χ111111111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1−1+i32−1−i32−1+i32−1−i321-111-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-11−i321+i32
χ121111111111−1+i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1−1+i32−1−i32−1+i32−1−i32-11-1-1111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32
χ13222-12-1-1-12222222-1-1-12-1-1-12-12-12-12-10-1-1-1-10200-1-100220000-1-1-1-10000
χ14222-12-1-1-12222222-1-1-12-1-1-12-12-12-12-10-1-1-1-10-2001100-2-2000011110000
χ15222-12-1-1-122−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i3201+i321−i321+i321−i320200-1-100−1−i3−1+i300001+i321+i321−i321−i320000
χ16222-12-1-1-122−1−i3−1+i3−1−i3−1+i32-1-1-12-1-1-1−1−i31+i32−1+i31−i32−1−i31+i32−1+i31−i3201+i321−i321+i321−i320-20011001+i31−i30000−1−i32−1−i32−1+i32−1+i320000
χ17222-12-1-1-122−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i3201−i321+i321−i321+i320200-1-100−1+i3−1−i300001−i321−i321+i321+i320000
χ18222-12-1-1-122−1+i3−1−i3−1+i3−1−i32-1-1-12-1-1-1−1+i31−i32−1−i31+i32−1+i31−i32−1−i31+i3201−i321+i321−i321+i320-20011001−i31+i30000−1+i32−1+i32−1−i32−1−i320000
χ1922-12-12-1-1222222-12-1-1-12-1-1-12-12-12-120-1-1-1-120-1-1002200-1-1-1-100000000
χ2022-12-12-1-1222222-12-1-1-12-1-1-12-12-12-120-1-1-1-1-201100-2-200111100000000
χ2122-12-12-1-122−1−i3−1+i3−1−i3−1+i3-12-1-1-12-1-11+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i301+i321−i321+i321−i3220-1-100−1−i3−1+i3001+i321+i321−i321−i3200000000
χ2222-12-12-1-122−1−i3−1+i3−1−i3−1+i3-12-1-1-12-1-11+i32−1−i31−i32−1+i31+i32−1−i31−i32−1+i301+i321−i321+i321−i32-2011001+i31−i300−1−i32−1−i32−1+i32−1+i3200000000
χ2322-12-12-1-122−1+i3−1−i3−1+i3−1−i3-12-1-1-12-1-11−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i301−i321+i321−i321+i3220-1-100−1+i3−1−i3001−i321−i321+i321+i3200000000
χ2422-12-12-1-122−1+i3−1−i3−1+i3−1−i3-12-1-1-12-1-11−i32−1+i31+i32−1−i31−i32−1+i31+i32−1−i301−i321+i321−i321+i32-2011001−i31+i300−1+i32−1+i32−1−i32−1−i3200000000
χ252-222-2-22-22-222-2-22222-2-2-2-22222-2-2-2-2022-2-20000000000000000000000
χ262-222-2-22-22-2−1−i3−1+i31+i31−i32222-2-2-2-2−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i30−1−i3−1+i31+i31−i30000000000000000000000
χ272-222-2-22-22-2−1+i3−1−i31−i31+i32222-2-2-2-2−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i30−1+i3−1−i31−i31+i30000000000000000000000
χ282-22-1-21-112-222-2-22-1-1-1-21112-12-1-21-210-1-1110000−i3i300000000−i3i3−i3i30000
χ292-22-1-21-112-222-2-22-1-1-1-21112-12-1-21-210-1-1110000i3−i300000000i3−i3i3−i30000
χ302-22-1-21-112-2−1−i3−1+i31+i31−i32-1-1-1-2111−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i3201+i321−i32−1−i32−1+i320000−i3i300000000−3+i323−i323+i32−3−i320000
χ312-22-1-21-112-2−1−i3−1+i31+i31−i32-1-1-1-2111−1−i31+i32−1+i31−i321+i3−1−i321−i3−1+i3201+i321−i32−1−i32−1+i320000i3−i3000000003−i32−3+i32−3−i323+i320000
χ322-22-1-21-112-2−1+i3−1−i31−i31+i32-1-1-1-2111−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i3201−i321+i32−1+i32−1−i320000−i3i3000000003+i32−3−i32−3+i323−i320000
χ332-22-1-21-112-2−1+i3−1−i31−i31+i32-1-1-1-2111−1+i31−i32−1−i31+i321−i3−1+i321+i3−1−i3201−i321+i32−1+i32−1−i320000i3−i300000000−3−i323+i323−i32−3+i320000
χ342-2-121-2-112-222-2-2-12-1-11-211-12-121-21-20-1-11100−i3i3000000−i3i3−i3i300000000
χ352-2-121-2-112-222-2-2-12-1-11-211-12-121-21-20-1-11100i3−i3000000i3−i3i3−i300000000
χ362-2-121-2-112-2−1−i3−1+i31+i31−i3-12-1-11-2111+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i301+i321−i32−1−i32−1+i3200−i3i3000000−3+i323−i323+i32−3−i3200000000
χ372-2-121-2-112-2−1−i3−1+i31+i31−i3-12-1-11-2111+i32−1−i31−i32−1+i3−1−i321+i3−1+i321−i301+i321−i32−1−i32−1+i3200i3−i30000003−i32−3+i32−3−i323+i3200000000
χ382-2-121-2-112-2−1+i3−1−i31−i31+i3-12-1-11-2111−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i301−i321+i32−1+i32−1−i3200−i3i30000003+i32−3−i32−3+i323−i3200000000
χ392-2-121-2-112-2−1+i3−1−i31−i31+i3-12-1-11-2111−i32−1+i31+i32−1−i3−1+i321−i3−1−i321+i301−i321+i32−1+i32−1−i3200i3−i3000000−3−i323+i323−i32−3+i3200000000
χ4044-2-2-2-211444444-2-211-2-211-2-2-2-2-2-2-2-2011110000000000000000000000
χ4144-2-2-2-21144−2−2i3−2+2i3−2−2i3−2+2i3-2-211-2-2111+i31+i31−i31−i31+i31+i31−i31−i30−1−i32−1+i32−1−i32−1+i320000000000000000000000
χ4244-2-2-2-21144−2+2i3−2−2i3−2+2i3−2−2i3-2-211-2-2111−i31−i31+i31+i31−i31−i31+i31+i30−1+i32−1−i32−1+i32−1−i320000000000000000000000
χ434-4-2-2221-14-444-4-4-2-21122-1-1-2-2-2-22222011-1-10000000000000000000000
χ444-4-2-2221-14-4−2−2i3−2+2i32+2i32−2i3-2-21122-1-11+i31+i31−i31−i3−1−i3−1−i3−1+i3−1+i30−1−i32−1+i321+i321−i320000000000000000000000
χ454-4-2-2221-14-4−2+2i3−2−2i32−2i32+2i3-2-21122-1-11−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i30−1+i32−1−i321−i321+i320000000000000000000000
χ4666666666-1-10000-1-1-1-1-1-1-1-10000000060000000000000000000000-1-100
χ4766666666-1-10000-1-1-1-1-1-1-1-100000000-600000000000000000000001100
χ486-666-6-66-6-110000-1-1-1-1111100000000000000000000000000000007−700
χ496-666-6-66-6-110000-1-1-1-111110000000000000000000000000000000−7700
χ50121212-612-6-6-6-2-20000-2111-211100000000000000000000000000000000000
χ511212-612-612-6-6-2-200001-2111-21100000000000000000000000000000000000
χ521212-6-6-6-633-2-2000011−1−3i72−1+3i7211−1−3i72−1+3i7200000000000000000000000000000000000
χ531212-6-6-6-633-2-2000011−1+3i72−1−3i7211−1+3i72−1−3i7200000000000000000000000000000000000
χ5412-1212-6-126-66-220000-21112-1-1-100000000000000000000000000000000000
χ5512-12-6126-12-66-2200001-211-12-1-100000000000000000000000000000000000
χ5612-12-6-6663-3-22000011−1−3i72−1+3i72-1-11+3i721−3i7200000000000000000000000000000000000
χ5712-12-6-6663-3-22000011−1+3i72−1−3i72-1-11−3i721+3i7200000000000000000000000000000000000

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