Finite Group Databasebeta

← Group #11797137

Character table — Group #11797137

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order122334466881212443666812121212122424242424242246688121268812242424242424242424681216161616242424242424242424244488242424244848484816161616121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911-1111-11111-1-1111-11-1-11-1-1-1111-1-1111-1-1-1-11111-1i−i1ii−i−i-111-1-11-1-111-1-111-1-1iii−i−i−ii−ii−iii−i−i11-1-111-1-1i−ii−i
χ1011-1111-11111-1-1111-11-1-11-1-1-1111-1-1111-1-1-1-11111-1i−i1ii−i−i-111-1-11-1-1-1-11111-1-1iii−i−i−i−iii−iii−i−i-1-111-1-111−ii−ii
χ1111-1111-11111-1-1111-11-1-11-1-1-1111-1-1111-1-1-1-11111-1−ii1−i−iii-111-1-11-1-111-1-111-1-1−i−i−iiii−ii−ii−i−iii11-1-111-1-1−ii−ii
χ1211-1111-11111-1-1111-11-1-11-1-1-1111-1-1111-1-1-1-11111-1−ii1−i−iii-111-1-11-1-1-1-11111-1-1−i−i−iiiii−i−ii−i−iii-1-111-1-111i−ii−i
χ1311-1111-11111-1-1-1-11-11-1-11-1-1-1111-1-111-11111-1-1-1-1-1i−i1ii−i−i-111-1-1-11111-1-1-1-111iii−i−i−ii−i−ii−i−iii11-1-1-1-111i−i−ii
χ1411-1111-11111-1-1-1-11-11-1-11-1-1-1111-1-111-11111-1-1-1-1-1i−i1ii−i−i-111-1-1-111-1-111-1-111iii−i−i−i−ii−ii−i−iii-1-11111-1-1−iii−i
χ1511-1111-11111-1-1-1-11-11-1-11-1-1-1111-1-111-11111-1-1-1-1-1−ii1−i−iii-111-1-1-11111-1-1-1-111−i−i−iiii−iii−iii−i−i11-1-1-1-111−iii−i
χ1611-1111-11111-1-1-1-11-11-1-11-1-1-1111-1-111-11111-1-1-1-1-1−ii1−i−iii-111-1-1-111-1-111-1-111−i−i−iiiii−ii−iii−i−i-1-11111-1-1i−i−ii
χ17222222222-2-222222222-222222-2-2-2-2-2-222222-2-22220020000-2-2-2-2-22-220000-2-2-2-200000000000000000000000000
χ18222222222-2-222-2-22222-222222-2-2-2-2-2-2-2-2-2-2-222-2-220020000-2-2-2-2-2-22-20000222200000000000000000000000000
χ1922222-2-22200-2-22222220-2-2-2-2-2000000-2-22-2-20022200-2000000000-202−i2i2−i2i2000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ2022222-2-22200-2-22222220-2-2-2-2-2000000-2-22-2-20022200-2000000000-202i2−i2i2−i2000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ2122222-2-22200-2-2-2-222220-2-2-2-2-200000022-22200-2-2200-200000000020-2−i2i2−i2i2000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ2222222-2-22200-2-2-2-222220-2-2-2-2-200000022-22200-2-2200-200000000020-2i2−i2i2−i2000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ232222-1222-122-1-122-1-1-12222-1-1-1-1-1-1-122222-1-122-1-1-122-1-1-1-1-12-1-1-1-1-12-10000-1-1-1-12-1-12-1-10022-1-1-1-1000000000000
χ242222-1222-122-1-122-1-1-12222-1-1-1-1-1-1-122222-1-122-1-1-1-2-2-111112-1-1-1-1-12-10000-1-1-1-1-211-21100-2-21111000000000000
χ252222-1222-122-1-1-2-2-1-1-12222-1-1-1-1-1-1-122-2-2-211-2-211-122-1-1-1-1-12-1-1-1-11-21000011112-1-12-1-100-2-21111000000000000
χ262222-1222-122-1-1-2-2-1-1-12222-1-1-1-1-1-1-122-2-2-211-2-211-1-2-2-111112-1-1-1-11-2100001111-211-2110022-1-1-1-1000000000000
χ272222-1222-1-2-2-1-122-1-1-12-222-1-1-11111-2-2222-1-1-2-2-1-1-100-1−i3i3−i3i3-21111-1-2-1000011110−i3i30−i3i30000−i3i3−i3i3000000000000
χ282222-1222-1-2-2-1-122-1-1-12-222-1-1-11111-2-2222-1-1-2-2-1-1-100-1i3−i3i3−i3-21111-1-2-1000011110i3−i30i3−i30000i3−i3i3−i3000000000000
χ292222-1222-1-2-2-1-1-2-2-1-1-12-222-1-1-11111-2-2-2-2-2112211-100-1−i3i3−i3i3-211111210000-1-1-1-10−i3i30−i3i30000i3−i3i3−i3000000000000
χ302222-1222-1-2-2-1-1-2-2-1-1-12-222-1-1-11111-2-2-2-2-2112211-100-1i3−i3i3−i3-211111210000-1-1-1-10i3−i30i3−i30000−i3i3−i3i3000000000000
χ31222-1222-12222200-12-1-12-1-1-1-122222-1-1000000000-122-12222-1-1-1-1-100022220000-1-1-1-1-1-122000000-1-1-1-10000-1-100
χ32222-1222-12222200-12-1-12-1-1-1-122222-1-1000000000-122-12222-1-1-1-1-1000-2-2-2-20000-1-1-1-1-1-1-2-2000000111100001100
χ33222-1222-12222200-12-1-12-1-1-1-122222-1-1000000000-1-2-2-1-2-2-2-2-1-1-1-1-100022220000111111-2-2000000-1-1-1-100001100
χ34222-1222-12222200-12-1-12-1-1-1-122222-1-1000000000-1-2-2-1-2-2-2-2-1-1-1-1-1000-2-2-2-200001111112200000011110000-1-100
χ3522-2222-222-2-2-2-2222-22-222-2-2-22-2-222-2-22-2-2-2-2-2-222-200200002-2-22222-20000-2-22200000000000000000000000000
χ3622-2222-222-2-2-2-2-2-22-22-222-2-2-22-2-222-2-2-2222222-2-2-200200002-2-222-2-22000022-2-200000000000000000000000000
χ3722-222-22220022222-22-20-2222-2000000-22-2220022-200-2000000000-20-2−i2i2i2−i2000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ3822-222-22220022222-22-20-2222-2000000-22-2220022-200-2000000000-20-2i2−i2−i2i2000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ3922-222-22220022-2-22-22-20-2222-20000002-22-2-200-2-2-200-2000000000202−i2i2i2−i2000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ4022-222-22220022-2-22-22-20-2222-20000002-22-2-200-2-2-200-2000000000202i2−i2−i2i2000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ4122-22-12-22-1221122-11-1-2-22-211-1-1-111222-2-21122-1-112i−2i-1−i−iii-2-1-111-1-210000-1-1112i−i−i−2iii002i−2i−i−iii000000000000
χ4222-22-12-22-1221122-11-1-2-22-211-1-1-111222-2-21122-1-11−2i2i-1ii−i−i-2-1-111-1-210000-1-111−2iii2i−i−i00−2i2iii−i−i000000000000
χ4322-22-12-22-12211-2-2-11-1-2-22-211-1-1-11122-222-1-1-2-21112i−2i-1−i−iii-2-1-11112-1000011-1-12i−i−i−2iii00−2i2iii−i−i000000000000
χ4422-22-12-22-12211-2-2-11-1-2-22-211-1-1-11122-222-1-1-2-2111−2i2i-1ii−i−i-2-1-11112-1000011-1-1−2iii2i−i−i002i−2i−i−iii000000000000
χ4522-22-12-22-1-2-21122-11-1-222-211-111-1-1-2-22-2-211-2-2-1-1100-13−3−33211-1-1-121000011-1-103−30−3300003−3−33000000000000
χ4622-22-12-22-1-2-21122-11-1-222-211-111-1-1-2-22-2-211-2-2-1-1100-1−333−3211-1-1-121000011-1-10−3303−30000−333−3000000000000
χ4722-22-12-22-1-2-211-2-2-11-1-222-211-111-1-1-2-2-222-1-12211100-13−3−33211-1-11-2-10000-1-11103−30−330000−333−3000000000000
χ4822-22-12-22-1-2-211-2-2-11-1-222-211-111-1-1-2-2-222-1-12211100-1−333−3211-1-11-2-10000-1-1110−3303−300003−3−33000000000000
χ4922-2-122-2-1222-2-200-1-2-11-2-1111222-2-2-1-100000000012i−2i-12i2i−2i−2i1-1-11100022-2-20000−i−i−iiii2i−2i000000-1-1110000−ii00
χ5022-2-122-2-1222-2-200-1-2-11-2-1111222-2-2-1-100000000012i−2i-12i2i−2i−2i1-1-111000-2-2220000−i−i−iiii−2i2i00000011-1-10000i−i00
χ5122-2-122-2-1222-2-200-1-2-11-2-1111222-2-2-1-10000000001−2i2i-1−2i−2i2i2i1-1-11100022-2-20000iii−i−i−i−2i2i000000-1-1110000i−i00
χ5222-2-122-2-1222-2-200-1-2-11-2-1111222-2-2-1-10000000001−2i2i-1−2i−2i2i2i1-1-111000-2-2220000iii−i−i−i2i−2i00000011-1-10000−ii00
χ534444-2-4-44-2002244-2-2-240-4-4222000000-4-442200-2-2-200200000000020-20000000000000000000000000000000000
χ544444-2-4-44-20022-4-4-2-2-240-4-422200000044-4-2-20022-2002000000000-2020000000000000000000000000000000000
χ55444-2444-24-4-44400-24-2-2-4-2-2-2-24-4-4-4-422000000000-200-20000222220000000000000000000000000000000000000
χ56444-24-4-4-2400-4-400-24-2-202222-4000000000000000-2002000000000000−2i22i2−2i22i2000000000000000000i2−i2i2−i200000000
χ57444-24-4-4-2400-4-400-24-2-202222-4000000000000000-20020000000000002i2−2i22i2−2i2000000000000000000−i2i2−i2i200000000
χ58444-2-244-2-244-2-2001-21-24-2-211-2-2-2-2-2-2-20000000001441-2-2-2-2-2111100000000000-211-21100000000000000000000
χ59444-2-244-2-244-2-2001-21-24-2-211-2-2-2-2-2-2-20000000001-4-412222-21111000000000002-1-12-1-100000000000000000000
χ60444-2-244-2-2-4-4-2-2001-21-2-4-2-211-22222220000000001001−2i32i3−2i32i32-1-1-1-1000000000000i3−i30i3−i300000000000000000000
χ61444-2-244-2-2-4-4-2-2001-21-2-4-2-211-222222200000000010012i3−2i32i3−2i32-1-1-1-1000000000000−i3i30−i3i300000000000000000000
χ6244-44-2-444-200-2-244-22-2-40-44-2-22000000-44-4-2-200-2-220020000000002020000000000000000000000000000000000
χ6344-44-2-444-200-2-2-4-4-22-2-40-44-2-220000004-442200222002000000000-20-20000000000000000000000000000000000
χ6444-4-244-4-24-4-4-4-400-2-4-224-22224-4-44422000000000200-20000-222-2-20000000000000000000000000000000000000
χ6544-4-24-44-24004400-2-4-2202-2-2-2-40000000000000002002000000000000−2i22i22i2−2i2000000000000000000i2−i2−i2i200000000
χ6644-4-24-44-24004400-2-4-2202-2-2-2-400000000000000020020000000000002i2−2i2−2i22i2000000000000000000−i2i2i2−i200000000
χ6744-4-2-24-4-2-24422001212-4-22-1-1-2-2-222-2-2000000000-14i−4i1−2i−2i2i2i211-1-100000000000−2iii2i−i−i00000000000000000000
χ6844-4-2-24-4-2-24422001212-4-22-1-1-2-2-222-2-2000000000-1−4i4i12i2i−2i−2i211-1-1000000000002i−i−i−2iii00000000000000000000
χ6944-4-2-24-4-2-2-4-4220012124-22-1-1-222-2-222000000000-100123−23−2323-2-1-111000000000000−3303−300000000000000000000
χ7044-4-2-24-4-2-2-4-4220012124-22-1-1-222-2-222000000000-1001−232323−23-2-1-1110000000000003−30−3300000000000000000000
χ714-404400-4-4−2i22i2004i−4i40-40000000−2i22i200−2i22i20000022−224i−4i000000000−2i22i200000000022−220000000000000000000000000000
χ724-404400-4-4−2i22i200−4i4i40-40000000−2i22i200−2i22i200000−2222−4i4i000000000−2i22i2000000000−22220000000000000000000000000000
χ734-404400-4-42i2−2i2004i−4i40-400000002i2−2i2002i2−2i200000−22224i−4i0000000002i2−2i2000000000−22220000000000000000000000000000
χ744-404400-4-42i2−2i200−4i4i40-400000002i2−2i2002i2−2i20000022−22−4i4i0000000002i2−2i200000000022−220000000000000000000000000000
χ754-404-200-42−2i22i223−234i−4i-202000023−230i2−i2i6−i6−2i22i2000−2i32i322−22−2i2i000000000i2−i2i6−i60000000−226−600000000000000000000000000
χ764-404-200-42−2i22i223−23−4i4i-202000023−230i2−i2i6−i6−2i22i20002i3−2i3−22222i−2i000000000i2−i2i6−i600000002−2−6600000000000000000000000000
χ774-404-200-42−2i22i2−23234i−4i-2020000−23230i2−i2−i6i6−2i22i20002i3−2i322−22−2i2i000000000i2−i2−i6i60000000−22−6600000000000000000000000000
χ784-404-200-42−2i22i2−2323−4i4i-2020000−23230i2−i2−i6i6−2i22i2000−2i32i3−22222i−2i000000000i2−i2−i6i600000002−26−600000000000000000000000000
χ794-404-200-422i2−2i223−234i−4i-202000023−230−i2i2−i6i62i2−2i2000−2i32i3−2222−2i2i000000000−i2i2−i6i600000002−2−6600000000000000000000000000
χ804-404-200-422i2−2i223−23−4i4i-202000023−230−i2i2−i6i62i2−2i20002i3−2i322−222i−2i000000000−i2i2−i6i60000000−226−600000000000000000000000000
χ814-404-200-422i2−2i2−23234i−4i-2020000−23230−i2i2i6−i62i2−2i20002i3−2i3−2222−2i2i000000000−i2i2i6−i600000002−26−600000000000000000000000000
χ824-404-200-422i2−2i2−2323−4i4i-2020000−23230−i2i2i6−i62i2−2i2000−2i32i322−222i−2i000000000−i2i2i6−i60000000−22−6600000000000000000000000000
χ83888-4-4-8-8-4-40044002-42-4044-2-24000000000000000200-20000000000000000000000000000000000000000000000
χ8488-8-4-4-88-4-400-4-400242404-4224000000000000000-200-20000000000000000000000000000000000000000000000
χ858-80-48004-8−4i24i20000-4040000000−4i24i2002i2−2i20000000000000000002i2−2i2000000000000000000000000000000000000000
χ868-80-48004-84i2−4i20000-40400000004i2−4i200−2i22i2000000000000000000−2i22i2000000000000000000000000000000000000000
χ878-80-4-40044−4i24i243−430020-20000−232302i2−2i22i6−2i62i2−2i2000000000000000000−i2i2−i6i60000000000000000000000000000000000000
χ888-80-4-40044−4i24i2−43430020-2000023−2302i2−2i2−2i62i62i2−2i2000000000000000000−i2i2i6−i60000000000000000000000000000000000000
χ898-80-4-400444i2−4i243−430020-20000−23230−2i22i2−2i62i6−2i22i2000000000000000000i2−i2i6−i60000000000000000000000000000000000000
χ908-80-4-400444i2−4i2−43430020-2000023−230−2i22i22i6−2i6−2i22i2000000000000000000i2−i2−i6i60000000000000000000000000000000000000

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