Finite Group Databasebeta

← Group #72274920

Character table — Group #72274920

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112224666688121212121212121216161616161618182424242424242432323232323232323232363636364848484848486464646464647272969696969696
order12236622242422224466336661224244661212336666661212224466661212666612124466661212
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111−1+i32−1−i321−1+i32−1−i321111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32
χ311111111111111111111−1−i32−1+i321−1−i32−1+i321111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32
χ41111111111-1-111-1-1111111-111-111-1-1-11111111-11-111-1-11111-1-1-1-1-1-11-11-1-1-1-1-11-11-111
χ51111111111-1-111-1-11111−1+i32−1−i32-1−1+i32−1−i32-111-1-1-11111−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i3211111−i321−i321+i321+i32-1-1−1+i321−i32−1−i321+i321−i321+i32-1-1−1+i321−i32−1−i321+i32−1+i32−1−i32
χ61111111111-1-111-1-11111−1−i32−1+i32-1−1−i32−1+i32-111-1-1-11111−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i3211111+i321+i321−i321−i32-1-1−1−i321+i32−1+i321−i321+i321−i32-1-1−1−i321+i32−1+i321−i32−1−i32−1+i32
χ71111111-11-11111-1-11111111111-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ81111111-11-11111-1-11111−1+i32−1−i321−1+i32−1−i321-1-1-1111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11−i321−i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-11−i321−i321+i321+i321−i321+i32
χ91111111-11-11111-1-11111−1−i32−1+i321−1−i32−1+i321-1-1-1111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-11+i321+i321−i321−i321+i321−i32
χ101111111-11-1-1-11111111111-111-1-1-11-1-11111111-11-111-1-1-1-1-1-11111-1-11-11-1-1-111-11-11-1-1
χ111111111-11-1-1-111111111−1+i32−1−i32-1−1+i32−1−i32-1-1-11-1-11111−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1−i321−i321+i32-1-1-1-1−1+i32−1+i32−1−i32−1−i32-1-1−1+i321−i32−1−i321+i321−i321+i32111−i32−1+i321+i32−1−i321−i321+i32
χ121111111-11-1-1-111111111−1−i32−1+i32-1−1−i32−1+i32-1-1-11-1-11111−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1+i321+i321−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i32-1-1−1−i321+i32−1+i321−i321+i321−i32111+i32−1−i321−i32−1+i321+i321−i32
χ1311-111-1-111-11-11-1111-1-1111111-11-1-11-11-11-111-11-1111-1-11-11-111111-1-11-11-1-11-11-11-1-1-1
χ1411-111-1-111-11-11-1111-1-11−1+i32−1−i321−1+i32−1−i32-11-1-11-11-11-1−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i321-11-1−1+i32−1+i32−1−i32−1−i321-11−i32−1+i321+i32−1−i321−i321+i321-1−1+i321−i32−1−i321+i321−i321+i32
χ1511-111-1-111-11-11-1111-1-11−1−i32−1+i321−1−i32−1+i32-11-1-11-11-11-1−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i321-11-1−1−i32−1−i32−1+i32−1+i321-11+i32−1−i321−i32−1+i321+i321−i321-1−1−i321+i32−1+i321−i321+i321−i32
χ1611-111-1-111-1-111-1-1-11-1-1111-11111-11-111-11-111-1-1-1-111111-11-1-1-1-1-1-11-1-1-1-111-111111-1-1
χ1711-111-1-111-1-111-1-1-11-1-11−1+i32−1−i32-1−1+i32−1−i3211-11-111-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321-11-11−i321−i321+i321+i32-111−i321−i321+i321+i32−1+i32−1−i32-11−1+i32−1+i32−1−i32−1−i321−i321+i32
χ1811-111-1-111-1-111-1-1-11-1-11−1−i32−1+i32-1−1−i32−1+i3211-11-111-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321-11-11+i321+i321−i321−i32-111+i321+i321−i321−i32−1−i32−1+i32-11−1−i32−1−i32−1+i32−1+i321+i321−i32
χ1911-111-1-1-1111-11-1-1-11-1-1111111-1-1111-11-11-111-11-1111-1-1-11-11-1-1-1-11-1-11-11-1-1-11-11-1111
χ2011-111-1-1-1111-11-1-1-11-1-11−1+i32−1−i321−1+i32−1−i32-1-1111-11-11-1−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i32−1−i321−i321+i32-11-111−i321−i321+i321+i321-11−i32−1+i321+i32−1−i321−i321+i32-111−i32−1+i321+i32−1−i32−1+i32−1−i32
χ2111-111-1-1-1111-11-1-1-11-1-11−1−i32−1+i321−1−i32−1+i32-1-1111-11-11-1−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i32−1+i321+i321−i32-11-111+i321+i321−i321−i321-11+i32−1−i321−i32−1+i321+i321−i32-111+i32−1−i321−i32−1+i32−1−i32−1+i32
χ2211-111-1-1-111-111-1111-1-1111-1111-11-1-111-11-111-1-1-1-11111-11-111111-11-1-1-1-1111-1-1-1-1-111
χ2311-111-1-1-111-111-1111-1-11−1+i32−1−i32-1−1+i32−1−i321-11-1-111-11-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i32-11-11−1+i32−1+i32−1−i32−1−i32-111−i321−i321+i321+i32−1+i32−1−i321-11−i321−i321+i321+i32−1+i32−1−i32
χ2411-111-1-1-111-111-1111-1-11−1−i32−1+i32-1−1−i32−1+i321-11-1-111-11-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i32-11-11−1−i32−1−i32−1+i32−1+i32-111+i321+i321−i321−i32−1−i32−1+i321-11+i321+i321−i321−i32−1−i32−1+i32
χ25222-1-1-1202022220022-1-122-122-100022-1-1-1-1-1-12222-1-12200000000-1-1-1-1-1-1-1-100000000
χ26222-1-1-1202022220022-1-1−1+i3−1−i3-1−1+i3−1−i3-100022-1-1-1-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i321+i32−1+i3−1−i300000000-1-11−i321−i321+i321+i321−i321+i3200000000
χ27222-1-1-1202022220022-1-1−1−i3−1+i3-1−1−i3−1+i3-100022-1-1-1-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i321−i32−1−i3−1+i300000000-1-11+i321+i321−i321−i321+i321−i3200000000
χ28222-1-1-12020-2-2220022-1-1221221000-2-2-1-1-1-1-1-12-22-2-1-1-2-20000000011-11-111100000000
χ29222-1-1-12020-2-2220022-1-1−1+i3−1−i31−1+i3−1−i31000-2-2-1-1-1-11−i321+i32−1+i31−i3−1−i31+i31−i321+i321−i31+i300000000111−i32−1+i321+i32−1−i32−1+i32−1−i3200000000
χ30222-1-1-12020-2-2220022-1-1−1−i3−1+i31−1−i3−1+i31000-2-2-1-1-1-11+i321−i32−1−i31+i3−1+i31−i31+i321−i321+i31−i300000000111+i32−1−i321−i32−1+i32−1−i32−1+i3200000000
χ3122-2-1-11-20202-22-2002-21-122-12210002-2-11-11-1-1-22-22-1-1-2-200000000-111-11-11100000000
χ3222-2-1-11-20202-22-2002-21-1−1+i3−1−i3-1−1+i3−1−i310002-2-11-111−i321+i321−i3−1+i31+i3−1−i31−i321+i321−i31+i300000000-11−1+i321−i32−1−i321+i32−1+i32−1−i3200000000
χ3322-2-1-11-20202-22-2002-21-1−1−i3−1+i3-1−1−i3−1+i310002-2-11-111+i321−i321+i3−1−i31−i3−1+i31+i321−i321+i31−i300000000-11−1−i321+i32−1+i321−i32−1−i32−1+i3200000000
χ3422-2-1-11-2020-222-2002-21-122122-1000-22-11-11-1-1-2-2-2-2-1-122000000001-11111-1-100000000
χ3522-2-1-11-2020-222-2002-21-1−1+i3−1−i31−1+i3−1−i3-1000-22-11-111−i321+i321−i31−i31+i31+i31−i321+i32−1+i3−1−i3000000001-1−1+i32−1+i32−1−i32−1−i321−i321+i3200000000
χ3622-2-1-11-2020-222-2002-21-1−1−i3−1+i31−1−i3−1+i3-1000-22-11-111+i321−i321+i31+i31−i31−i31+i321−i32−1−i3−1+i3000000001-1−1−i32−1−i32−1+i32−1+i321+i321−i3200000000
χ37333333333333-1-133-1-133003003333-1-1-1-1-1-10000000000-1-1-1-10000-1-1000000-1-1000000
χ383333333333-3-3-1-1-3-3-1-13300-300-333-311-1-1-1-10000000000-1-1-1-100001100000011000000
χ393333333-33-333-1-1-3-3-1-133003003-3-3-3-1-1-1-1-1-1000000000011110000-1-100000011000000
χ403333333-33-3-3-3-1-133-1-13300-300-3-3-3311-1-1-1-100000000001111000011000000-1-1000000
χ4133-333-3-333-33-3-1133-11-3300300-33-3-3-11-11-110000000000-11-110000-11000000-11000000
χ4233-333-3-333-3-33-11-3-3-11-3300-30033-331-1-11-110000000000-11-1100001-10000001-1000000
χ4333-333-3-3-3333-3-11-3-3-11-3300300-3-333-11-11-1100000000001-11-10000-110000001-1000000
χ4433-333-3-3-333-33-1133-11-3300-3003-33-31-1-11-1100000000001-11-100001-1000000-11000000
χ45666666-26-26002200-2-2-2-2000000-2-200022-2-200000000002-2-2200000000000000000000
χ46666666-26-2600-2-20022-2-2000000-2-2000-2-2220000000000-222-200000000000000000000
χ47666666-2-6-2-6002200-2-2-2-20000002200022-2-20000000000-222-200000000000000000000
χ48666666-2-6-2-600-2-20022-2-200000022000-2-22200000000002-2-2200000000000000000000
χ49666-3-3-3606066-2-200-2-2-3-300-300-3000-2-211110000000000000000001100000000000000
χ50666-3-3-36060-6-6-2-200-2-2-3-3003003000221111000000000000000000-1-100000000000000
χ5166-666-626-2-6002-200-222-2000000-220002-2-22000000000022-2-200000000000000000000
χ5266-666-626-2-600-22002-22-2000000-22000-222-20000000000-2-22200000000000000000000
χ5366-666-62-6-26002-200-222-20000002-20002-2-220000000000-2-22200000000000000000000
χ5466-666-62-6-2600-22002-22-20000002-2000-222-2000000000022-2-200000000000000000000
χ5566-6-3-33-60606-6-2200-223-300-3003000-221-11-10000000000000000001-100000000000000
χ5666-6-3-33-6060-66-2200-223-300300-30002-21-11-1000000000000000000-1100000000000000
χ578-808-80000000004-40000220-2-20000000000220000-2-20000002-22-20000000000000000
χ588-808-80000000004-40000−1+i3−1−i301−i31+i30000000000−1+i3−1−i300001−i31+i3000000−1+i31−i3−1−i31+i30000000000000000
χ598-808-80000000004-40000−1−i3−1+i301+i31−i30000000000−1−i3−1+i300001+i31−i3000000−1−i31+i3−1+i31−i30000000000000000
χ608-808-8000000000-440000220-2-20000000000220000-2-2000000-22-220000000000000000
χ618-808-8000000000-440000−1+i3−1−i301−i31+i30000000000−1+i3−1−i300001−i31+i30000001−i3−1+i31+i3−1−i30000000000000000
χ628-808-8000000000-440000−1−i3−1+i301+i31−i30000000000−1−i3−1+i300001+i31−i30000001+i3−1−i31−i3−1+i30000000000000000
χ63121212-6-6-6-40-40004400-4-42200000000000-2-2220000000000000000000000000000000000
χ64121212-6-6-6-40-4000-4-40044220000000000022-2-20000000000000000000000000000000000
χ651212-12-6-6640-40004-400-44-2200000000000-222-20000000000000000000000000000000000
χ661212-12-6-6640-4000-44004-4-22000000000002-2-220000000000000000000000000000000000
χ6716-160-88000000000000000440-4-40000000000-2-200002200000000000000000000000000
χ6816-160-88000000000000000−2+2i3−2−2i302−2i32+2i300000000001−i31+i30000−1+i3−1−i300000000000000000000000000
χ6916-160-88000000000000000−2−2i3−2+2i302+2i32−2i300000000001+i31−i30000−1−i3−1+i300000000000000000000000000

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