Finite Group Databasebeta

← Group #11796945

Character table — Group #11796945

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1122222444444444888888888888889916161616161616161818181818363636363636363636727272727272
order12244883366812121212246612122424242424242424446666121212122248881616161616161616248888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111-1-111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1
χ61111111111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1111111-1-1-1-11-1-1-1-11ii−i−iii−i−i-11i−ii−i
χ1011-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1111111-1-1-1-11-1-1-1-11−i−iii−i−iii-11−ii−ii
χ1111-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-1-1-1111-11-1-11
χ1211-1-11-1-111111-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-11-1-111-1
χ1311-1-11-1-111111-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-11ii−i−iii−i−i1-1−ii−ii
χ1411-1-11-1-111111-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-111111-1-1-1-11−i−iii−i−iii1-1i−ii−i
χ1511-1-11-1-111111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111-11111-111-1-1-1-111-11-111-1
χ1611-1-11-1-111111-1-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-11111-11111-1-1-11111-1-1-111-1-11
χ1722222-2-22222-22222002222-2-2-2-2-2-2-2-22200000000222-2-2-200000000000000
χ1822222-2-22222-22222002222-2-2-2-2-2-2-2-2-2-200000000-2-2-222200000000000000
χ19222-2-20022220-2-2-2-20022-2-2000000002200000000-2-220002−22−22−22−2000000
χ20222-2-20022220-2-2-2-20022-2-2000000002200000000-2-22000−22−22−22−22000000
χ21222-2-20022220-2-2-2-20022-2-200000000-2-20000000022-2000i2−i2i2−i2−i2i2−i2i2000000
χ22222-2-20022220-2-2-2-20022-2-200000000-2-20000000022-2000−i2i2−i2i2i2−i2i2−i2000000
χ2322-22-20022220222200-2-2-2-2000000002200000000-22-2000i2−i2−i2i2i2−i2−i2i2000000
χ2422-22-20022220222200-2-2-2-2000000002200000000-22-2000−i2i2i2−i2−i2i2i2−i2000000
χ2522-22-20022220222200-2-2-2-200000000-2-2000000002-220002−2−22−222−2000000
χ2622-22-20022220222200-2-2-2-200000000-2-2000000002-22000−222−22−2−22000000
χ2722-2-22222222-2-2-2-2-200-2-222-2-2-2-2222222000000002-2-222-200000000000000
χ2822-2-22222222-2-2-2-2-200-2-222-2-2-2-22222-2-200000000-222-2-2200000000000000
χ2944444441-21-2411-2-2441-21-211-2-211-2-20011-2-211-2-200000000000000000000
χ3044444441-21-2411-2-2-4-41-21-211-2-211-2-200-1-122-1-12200000000000000000000
χ314444444-21-214-2-21144-21-21-2-211-2-21100-2-211-2-21100000000000000000000
χ324444444-21-214-2-211-4-4-21-21-2-211-2-2110022-1-122-1-100000000000000000000
χ3344444-4-41-21-2-411-2-2001-21-2-1-122-1-122003-3003-30000000000000000000000
χ3444444-4-41-21-2-411-2-2001-21-2-1-122-1-12200-3300-330000000000000000000000
χ3544444-4-4-21-21-4-2-21100-21-2122-1-122-1-100003-3003-300000000000000000000
χ3644444-4-4-21-21-4-2-21100-21-2122-1-122-1-10000-3300-3300000000000000000000
χ3744-4-44441-21-2-4-1-12200-121-2-1-12211-2-2003-300-330000000000000000000000
χ3844-4-44441-21-2-4-1-12200-121-2-1-12211-2-200-33003-30000000000000000000000
χ3944-4-4444-21-21-422-1-1002-1-2122-1-1-2-21100003-300-3300000000000000000000
χ4044-4-4444-21-21-422-1-1002-1-2122-1-1-2-2110000-33003-300000000000000000000
χ4144-4-44-4-41-21-24-1-1224-4-121-211-2-2-1-1220011-2-2-1-12200000000000000000000
χ4244-4-44-4-41-21-24-1-122-44-121-211-2-2-1-12200-1-12211-2-200000000000000000000
χ4344-4-44-4-4-21-21422-1-14-42-1-21-2-21122-1-100-2-21122-1-100000000000000000000
χ4444-4-44-4-4-21-21422-1-1-442-1-21-2-21122-1-10022-1-1-2-21100000000000000000000
χ454-40002i2−2i244-4-40000000000000002i2−2i22i2−2i24i−4i0000000000022−22000000000000000
χ464-40002i2−2i244-4-40000000000000002i2−2i22i2−2i2−4i4i00000000000−2222000000000000000
χ474-4000−2i22i244-4-4000000000000000−2i22i2−2i22i24i−4i00000000000−2222000000000000000
χ484-4000−2i22i244-4-4000000000000000−2i22i2−2i22i2−4i4i0000000000022−22000000000000000
χ49888-8-8002-42-40-2-244002-4-2400000000000000000000000000000000000000
χ50888-8-800-42-42044-2-200-424-200000000000000000000000000000000000000
χ5188-88-8002-42-4022-4-400-24-2400000000000000000000000000000000000000
χ5288-88-800-42-420-4-422004-24-200000000000000000000000000000000000000
χ538-80004i2−4i22-4-2406i−6i0000000032−3200i2−i2−2i22i2000000000000000000000000000000
χ548-80004i2−4i22-4-240−6i6i00000000−323200i2−i2−2i22i2000000000000000000000000000000
χ558-80004i2−4i2-424-20006i−6i0000000032−32−2i22i2i2−i2000000000000000000000000000000
χ568-80004i2−4i2-424-2000−6i6i00000000−3232−2i22i2i2−i2000000000000000000000000000000
χ578-8000−4i24i22-4-2406i−6i00000000−323200−i2i22i2−2i2000000000000000000000000000000
χ588-8000−4i24i22-4-240−6i6i0000000032−3200−i2i22i2−2i2000000000000000000000000000000
χ598-8000−4i24i2-424-20006i−6i00000000−32322i2−2i2−i2i2000000000000000000000000000000
χ608-8000−4i24i2-424-2000−6i6i0000000032−322i2−2i2−i2i2000000000000000000000000000000

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