Finite Group Databasebeta

← Group #72275038

Character table — Group #72275038

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111222244446688881212121212122424242424243232323232323232323232323232323232323232323232323636363636363636484872727272144144144144
order124436121222442466121222446124466121233366666666612121212121212121212121222444444121224444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111-1-1-1-111-1-1-1-1111111-1-11111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ511-1-111-1-111-1-11-111-1-1-11-111-11-11-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-11-11-11-1
χ611-1-111-1-111-1-11-111-1-1-11-111-11-11-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-11-11-11
χ711-1-111-1-1-1-1111-1-1-111-11-111-1-111-11-1111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-111-11-111-11-1-11
χ811-1-111-1-1-1-1111-1-1-111-11-111-1-111-11-1111-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-11111-1-1-111-1-11-111-1
χ9222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002200000000
χ1022222222-2-2-2-222-2-2-2-2222222-2-22222-1-1-1111111-1-1-1-1-1-1-1-1-111111100000000-2-200000000
χ112222-1-1-1-1222222-1-1-1-12222-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-122-1-1-1-100000000-1-100000000
χ122222-1-1-1-1222222-1-1-1-12222-1-122-1-1-1-1-12-1-1-122-1-1-12-1-1-122-1-1-1-122-1-100000000-1-100000000
χ132222-1-1-1-1222222-1-1-1-12222-1-122-1-1-1-1-1-12-1-1-1-122-1-12-1-1-1-122-1-1-1-12200000000-1-100000000
χ142222-1-1-1-1-2-2-2-22211112222-1-1-2-2-1-1-1-12-1-1-2-211112-1-122-1-1-1-1-2-21111000000001100000000
χ152222-1-1-1-1-2-2-2-22211112222-1-1-2-2-1-1-1-1-12-111-2-211-12-1-1-122-1-111-2-211000000001100000000
χ162222-1-1-1-1-2-2-2-22211112222-1-1-2-2-1-1-1-1-1-121111-2-2-1-12-1-1-1-1221111-2-2000000001100000000
χ1722-2-222-2-222-2-22-222-2-2-22-222-22-22-22-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000002-200000000
χ1822-2-222-2-2-2-2222-2-2-222-22-222-2-222-22-2-1-1-1111111-1-1-1111111-1-1-1-1-1-100000000-2200000000
χ1922-2-2-1-11122-2-22-2-1-111-22-22-112-2-11-112-1-122-1-1-1-12-1-1-2-21111-2-2111100000000-1100000000
χ2022-2-2-1-11122-2-22-2-1-111-22-22-112-2-11-11-12-1-1-122-1-1-12-111-2-21111-2-21100000000-1100000000
χ2122-2-2-1-11122-2-22-2-1-111-22-22-112-2-11-11-1-12-1-1-1-122-1-121111-2-21111-2-200000000-1100000000
χ2222-2-2-1-111-2-2222-211-1-1-22-22-11-22-11-112-1-1-2-211112-1-1-2-2111122-1-1-1-1000000001-100000000
χ2322-2-2-1-111-2-2222-211-1-1-22-22-11-22-11-11-12-111-2-211-12-111-2-211-1-122-1-1000000001-100000000
χ2422-2-2-1-111-2-2222-211-1-1-22-22-11-22-11-11-1-121111-2-2-1-121111-2-2-1-1-1-122000000001-100000000
χ25333333333333333333-1-1-1-133-1-1-1-1-1-100000000000000000000000011111111-1-11111-1-1-1-1
χ26333333333333333333-1-1-1-133-1-1-1-1-1-1000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2733333333-3-3-3-333-3-3-3-3-1-1-1-13311-1-1-1-10000000000000000000000001111-1-1-1-111-1-111-1-111
χ2833333333-3-3-3-333-3-3-3-3-1-1-1-13311-1-1-1-1000000000000000000000000-1-1-1-111111111-1-111-1-1
χ2933-3-333-3-333-3-33-333-3-31-11-13-3-11-11-1100000000000000000000000011-1-111-1-1-111-11-1-11-11
χ3033-3-333-3-333-3-33-333-3-31-11-13-3-11-11-11000000000000000000000000-1-111-1-111-11-11-111-11-1
χ3133-3-333-3-3-3-3333-3-3-3331-11-13-31-1-11-1100000000000000000000000011-1-1-1-1111-1-111-1-111-1
χ3233-3-333-3-3-3-3333-3-3-3331-11-13-31-1-11-11000000000000000000000000-1-11111-1-11-11-1-111-1-11
χ334-44i−4i4-44i−4i2-22i−2i002-22i−2i0000000000001111-11-11-1-1-1-1i−ii−ii−ii−ii−ii−i2-22i−2i2-22i−2i0000000000
χ344-44i−4i4-44i−4i2-22i−2i002-22i−2i0000000000001111-11-11-1-1-1-1i−ii−ii−ii−ii−ii−i-22−2i2i-22−2i2i0000000000
χ354-44i−4i4-44i−4i-22−2i2i00-22−2i2i000000000000111-11-11-11-1-1-1i−ii−ii−i−ii−ii−ii2-22i−2i-22−2i2i0000000000
χ364-44i−4i4-44i−4i-22−2i2i00-22−2i2i000000000000111-11-11-11-1-1-1i−ii−ii−i−ii−ii−ii-22−2i2i2-22i−2i0000000000
χ374-4−4i4i4-4−4i4i2-2−2i2i002-2−2i2i0000000000001111-11-11-1-1-1-1−ii−ii−ii−ii−ii−ii2-2−2i2i2-2−2i2i0000000000
χ384-4−4i4i4-4−4i4i2-2−2i2i002-2−2i2i0000000000001111-11-11-1-1-1-1−ii−ii−ii−ii−ii−ii-222i−2i-222i−2i0000000000
χ394-4−4i4i4-4−4i4i-222i−2i00-222i−2i000000000000111-11-11-11-1-1-1−ii−ii−iii−ii−ii−i2-2−2i2i-222i−2i0000000000
χ404-4−4i4i4-4−4i4i-222i−2i00-222i−2i000000000000111-11-11-11-1-1-1−ii−ii−iii−ii−ii−i-222i−2i2-2−2i2i0000000000
χ41666666660000-2-200002-2-22-2-200-222-20000000000000000000000000000222200-2-2000000
χ42666666660000-2-200002-2-22-2-200-222-20000000000000000000000000000-2-2-2-20022000000
χ43666666660000-2-20000-222-2-2-2002-2-22000000000000000000000000222200000000-2-20000
χ44666666660000-2-20000-222-2-2-2002-2-22000000000000000000000000-2-2-2-200000000220000
χ456666-3-3-3-3666666-3-3-3-3-2-2-2-2-3-3-2-21111000000000000000000000000000000001100000000
χ466666-3-3-3-3-6-6-6-6663333-2-2-2-2-3-322111100000000000000000000000000000000-1-100000000
χ4766-6-666-6-60000-22000022-2-2-220022-2-200000000000000000000000022-2-200000000-220000
χ4866-6-666-6-60000-22000022-2-2-220022-2-2000000000000000000000000-2-222000000002-20000
χ4966-6-666-6-60000-220000-2-222-2200-2-222000000000000000000000000000022-2-200-22000000
χ5066-6-666-6-60000-220000-2-222-2200-2-2220000000000000000000000000000-2-222002-2000000
χ5166-6-6-3-33366-6-66-6-3-3332-22-2-33-221-11-1000000000000000000000000000000001-100000000
χ5266-6-6-3-333-6-6666-633-3-32-22-2-332-21-11-100000000000000000000000000000000-1100000000
χ538-88i−8i8-88i−8i4-44i−4i004-44i−4i000000000000-1-1-1-11-11-11111−ii−ii−ii−ii−ii−ii000000000000000000
χ548-88i−8i8-88i−8i-44−4i4i00-44−4i4i000000000000-1-1-11-11-11-1111−ii−ii−iii−ii−ii−i000000000000000000
χ558-88i−8i-44−4i4i4-44i−4i00-22−2i2i0000000000002-1-12-2-11-11-2112i−2i−ii−ii2i−2i−ii−ii000000000000000000
χ568-88i−8i-44−4i4i4-44i−4i00-22−2i2i000000000000-12-1-112-2-111-21−ii2i−2i−ii−ii2i−2i−ii000000000000000000
χ578-88i−8i-44−4i4i4-44i−4i00-22−2i2i000000000000-1-12-11-112-211-2−ii−ii2i−2i−ii−ii2i−2i000000000000000000
χ588-88i−8i-44−4i4i-44−4i4i002-22i−2i0000000000002-1-1-221-11-1-2112i−2i−ii−ii−2i2ii−ii−i000000000000000000
χ598-88i−8i-44−4i4i-44−4i4i002-22i−2i000000000000-12-11-1-221-11-21−ii2i−2i−iii−i−2i2ii−i000000000000000000
χ608-88i−8i-44−4i4i-44−4i4i002-22i−2i000000000000-1-121-11-1-2211-2−ii−ii2i−2ii−ii−i−2i2i000000000000000000
χ618-8−8i8i8-8−8i8i4-4−4i4i004-4−4i4i000000000000-1-1-1-11-11-11111i−ii−ii−ii−ii−ii−i000000000000000000
χ628-8−8i8i8-8−8i8i-444i−4i00-444i−4i000000000000-1-1-11-11-11-1111i−ii−ii−i−ii−ii−ii000000000000000000
χ638-8−8i8i-444i−4i4-4−4i4i00-222i−2i0000000000002-1-12-2-11-11-211−2i2ii−ii−i−2i2ii−ii−i000000000000000000
χ648-8−8i8i-444i−4i4-4−4i4i00-222i−2i000000000000-12-1-112-2-111-21i−i−2i2ii−ii−i−2i2ii−i000000000000000000
χ658-8−8i8i-444i−4i4-4−4i4i00-222i−2i000000000000-1-12-11-112-211-2i−ii−i−2i2ii−ii−i−2i2i000000000000000000
χ668-8−8i8i-444i−4i-444i−4i002-2−2i2i0000000000002-1-1-221-11-1-211−2i2ii−ii−i2i−2i−ii−ii000000000000000000
χ678-8−8i8i-444i−4i-444i−4i002-2−2i2i000000000000-12-11-1-221-11-21i−i−2i2ii−i−ii2i−2i−ii000000000000000000
χ688-8−8i8i-444i−4i-444i−4i002-2−2i2i000000000000-1-121-11-1-2211-2i−ii−i−2i2i−ii−ii2i−2i000000000000000000
χ6912121212-6-6-6-60000-4-400004-4-4422002-2-22000000000000000000000000000000000000000000
χ7012121212-6-6-6-60000-4-40000-444-42200-222-2000000000000000000000000000000000000000000
χ711212-12-12-6-6660000-44000044-4-42-200-2-222000000000000000000000000000000000000000000
χ721212-12-12-6-6660000-440000-4-4442-20022-2-2000000000000000000000000000000000000000000

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