Finite Group Databasebeta

← Group #11868022

Character table — Group #11868022

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order1223344666688443666681212121224242424242422488121212122466121212122424242424246688824242424666121212246668812121224242488242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111-1-1111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-11111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-111-1-1
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
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-111-1-1111111-1-1
χ911111111111-1-11111111-11111-1-1-1-1-1-1111-1-111111-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-111-1-11-1111-1-111-1-11-11-1
χ1011111111111-1-11111111-11111-1-1-1-1-1-1111-1-111111-111-1-111-1-1-1-1-1-1-111-111-1-1-1-1111-1-1-1-11-1-1-1-11-11111-1-111-11-11
χ1111111111111-1-11111111-11111-1-1-1-1-1-1111-1-11111-11-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-111-1-1-1-111-1-1-11-11
χ1211111111111-1-11111111-11111-1-1-1-1-1-1111-1-11111-11-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1111-11-1
χ1311111111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-111-1-11-1-11111111-1-1-11-11111-11-1-1-1-1-1-1111-1-11
χ1411111111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-11-1-1-11111-1-1-111-1
χ1511111111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1111-111-1-1-11111-1-1-1-111-111-1
χ1611111111111-1-1-1-111111-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1111-11-1-1-11-1-1111111-1-11-1-11
χ1722222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-20000000-2-202i−2i000000000000000000002i−2i002i−2i0000
χ1822222-2-222220022222220-2-2-2-2000000-2-22002222000000-2-20000000-2-20−2i2i00000000000000000000−2i2i00−2i2i0000
χ1922222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-200000002202i−2i000000000000000000002i−2i00−2i2i0000
χ2022222-2-2222200-2-2222220-2-2-2-200000022-200-2-2-2-2000000-2-20000000220−2i2i00000000000000000000−2i2i002i−2i0000
χ212222-122-1-12-12222-12-1-1-12-12-1222-1-1-1-122222-1-1-1-122-1-1-1-1-1-12-1-1-1-100-1-1200-1-1-1-12-1-12-1-1220-1-1000-1-10000000000
χ222222-122-1-12-12222-12-1-1-12-12-1222-1-1-1-122222-1-1-1-1-2-21111-1-12-1-1-1-100-1-1200-1-1-1-1-211-211-2-2011000110000000000
χ232222-122-1-12-122-2-2-12-1-1-12-12-1222-1-1-1-1-2-2-2-2-2111122-1-1-1-1-1-12-1-1-1-10011-20011112-1-12-1-1-2-2011000110000000000
χ242222-122-1-12-122-2-2-12-1-1-12-12-1222-1-1-1-1-2-2-2-2-21111-2-21111-1-12-1-1-1-10011-2001111-211-211220-1-1000-1-10000000000
χ252222-122-1-12-1-2-222-12-1-1-1-2-12-12-2-21111222-2-2-1-1-1-12-2-1-111-1-1-2111100-1-1-20011112-1-1-211-22011000-1-10000000000
χ262222-122-1-12-1-2-222-12-1-1-1-2-12-12-2-21111222-2-2-1-1-1-1-2211-1-1-1-1-2111100-1-1-2001111-2112-1-12-20-1-1000110000000000
χ272222-122-1-12-1-2-2-2-2-12-1-1-1-2-12-12-2-21111-2-2-22211112-2-1-111-1-1-211110011200-1-1-1-12-1-1-2112-20-1-1000110000000000
χ282222-122-1-12-1-2-2-2-2-12-1-1-1-2-12-12-2-21111-2-2-2221111-2211-1-1-1-1-211110011200-1-1-1-1-2112-1-1-22011000-1-10000000000
χ29222-122222-122200-1-1-1-1-122-12-1-1-12222000000000222222-1-1-1-1-1-1-122000220000-1-1-1-1-1-100-10022-100-1-10000-1-100
χ30222-122222-122200-1-1-1-1-122-12-1-1-12222000000000222222-1-1-1-1-1-1-1-2-2000-2-20000-1-1-1-1-1-100100-2-21001100001100
χ31222-122222-122200-1-1-1-1-122-12-1-1-12222000000000-2-2-2-2-2-2-1-1-1-1-1-1-12200022000011111100-100-2-2-100-1-100001100
χ32222-122222-122200-1-1-1-1-122-12-1-1-12222000000000-2-2-2-2-2-2-1-1-1-1-1-1-1-2-2000-2-200001111110010022100110000-1-100
χ33222-122222-12-2-200-1-1-1-1-1-22-12-111-2-2-2-20000000002-222-2-2-1-11111122000-2-20000-1-1-111100-1002-2-100110000-1100
χ34222-122222-12-2-200-1-1-1-1-1-22-12-111-2-2-2-20000000002-222-2-2-1-111111-2-2000220000-1-1-111100100-22100-1-100001-100
χ35222-122222-12-2-200-1-1-1-1-1-22-12-111-2-2-2-2000000000-22-2-222-1-11111122000-2-20000111-1-1-100-100-22-1001100001-100
χ36222-122222-12-2-200-1-1-1-1-1-22-12-111-2-2-2-2000000000-22-2-222-1-111111-2-2000220000111-1-1-1001002-2100-1-10000-1100
χ3722-2222-2-2-22222222-2-2-22-2-222-22222-2-22-2-22222-2-2000000-22-222-2-2002-2-20022-2-200000000000000000000000000
χ3822-2222-2-2-22222-2-22-2-2-22-2-222-22222-2-2-222-2-2-2-222000000-22-222-2-200-22200-2-22200000000000000000000000000
χ3922-2222-2-2-222-2-2222-2-2-222-222-2-2-2-2-2222-2-2-2-222-2-2000000-222-2-222002-2200-2-22200000000000000000000000000
χ4022-2222-2-2-222-2-2-2-22-2-2-222-222-2-2-2-2-222-22222-2-222000000-222-2-22200-22-20022-2-200000000000000000000000000
χ4122-222-22-2-22200222-2-2-2202-2-22000000-22-20022-2-20000002-2000002-2-2200000000000000020000-20000-22000000
χ4222-222-22-2-22200222-2-2-2202-2-22000000-22-20022-2-20000002-200000-22-22000000000000000-20000200002-2000000
χ4322-222-22-2-22200-2-22-2-2-2202-2-220000002-2200-2-2220000002-2000002-22-200000000000000020000-200002-2000000
χ4422-222-22-2-22200-2-22-2-2-2202-2-220000002-2200-2-2220000002-200000-222-2000000000000000-2000020000-22000000
χ4522-22-12-2112-12222-1-211-1-212-1-222-1-1112-2-222-1-11100−i3i3−i3i31-1-2-1-11100-11-200-1-1110−i3i30−i3i3000−i3i3000−i3i30000000000
χ4622-22-12-2112-12222-1-211-1-212-1-222-1-1112-2-222-1-11100i3−i3i3−i31-1-2-1-11100-11-200-1-1110i3−i30i3−i3000i3−i3000i3−i30000000000
χ4722-22-12-2112-122-2-2-1-211-1-212-1-222-1-111-222-2-211-1-100−i3i3−i3i31-1-2-1-111001-120011-1-10−i3i30−i3i3000i3−i3000i3−i30000000000
χ4822-22-12-2112-122-2-2-1-211-1-212-1-222-1-111-222-2-211-1-100i3−i3i3−i31-1-2-1-111001-120011-1-10i3−i30i3−i3000−i3i3000−i3i30000000000
χ4922-22-12-2112-1-2-222-1-211-1212-1-2-2-211-1-12-2-2-2-2-1-11100−i3i3i3−i31-1211-1-100-1120011-1-10−i3i30i3−i3000i3−i3000−i3i30000000000
χ5022-22-12-2112-1-2-222-1-211-1212-1-2-2-211-1-12-2-2-2-2-1-11100i3−i3−i3i31-1211-1-100-1120011-1-10i3−i30−i3i3000−i3i3000i3−i30000000000
χ5122-22-12-2112-1-2-2-2-2-1-211-1212-1-2-2-211-1-1-2222211-1-100−i3i3i3−i31-1211-1-1001-1-200-1-1110−i3i30i3−i3000−i3i3000i3−i30000000000
χ5222-22-12-2112-1-2-2-2-2-1-211-1212-1-2-2-211-1-1-2222211-1-100i3−i3−i3i31-1211-1-1001-1-200-1-1110i3−i30−i3i3000i3−i3000−i3i30000000000
χ534444-2-4-4-2-24-20044-24-2-2-202-42-4000000-4-4400-2-2-2-200000022000000022000000000000000000000000000000000
χ544444-2-4-4-2-24-200-4-4-24-2-2-202-42-400000044-4002222000000220000000-2-2000000000000000000000000000000000
χ55444-24-4-444-240000-2-2-2-2-20-42-420000000000000000000002200000000004i−4i00000000000000000000−2i2i00000000
χ56444-24-4-444-240000-2-2-2-2-20-42-42000000000000000000000220000000000−4i4i000000000000000000002i−2i00000000
χ57444-2-244-2-2-2-244001-21114-2-2-2-2-2-2-2-2-2-200000000044-2-2-2-211-2111100000000000-211-21100000000000000000000
χ58444-2-244-2-2-2-244001-21114-2-2-2-2-2-2-2-2-2-2000000000-4-4222211-21111000000000002-1-12-1-100000000000000000000
χ59444-2-244-2-2-2-2-4-4001-2111-4-2-2-2-22222220000000004-4-2-222112-1-1-1-100000000000-2112-1-100000000000000000000
χ60444-2-244-2-2-2-2-4-4001-2111-4-2-2-2-2222222000000000-4422-2-2112-1-1-1-1000000000002-1-1-21100000000000000000000
χ6144-44-2-44224-20044-2-422-20-2-424000000-44-400-2-222000000-2200000002-2000000000000000000000000000000000
χ6244-44-2-44224-200-4-4-2-422-20-2-4240000004-440022-2-2000000-220000000-22000000000000000000000000000000000
χ6344-4-244-4-4-4-244400-2222-2-4-4-242-2-244-4-40000000000000002-22-2-2220000000000000000000000000000000000000
χ6444-4-244-4-4-4-24-4-400-2222-24-4-24222-4-4440000000000000002-2-222-2-20000000000000000000000000000000000000
χ6544-4-24-44-4-4-240000-2222-2042-4-2000000000000000000000-22000004-400000000000000000-200002000000000000
χ6644-4-24-44-4-4-240000-2222-2042-4-2000000000000000000000-2200000-440000000000000000020000-2000000000000
χ6744-4-2-24-422-2-2440012-1-11-42-2-22-2-2-2-22200000000000−2i32i3−2i32i3-11211-1-1000000000000i3−i30i3−i300000000000000000000
χ6844-4-2-24-422-2-2440012-1-11-42-2-22-2-2-2-222000000000002i3−2i32i3−2i3-11211-1-1000000000000−i3i30−i3i300000000000000000000
χ6944-4-2-24-422-2-2-4-40012-1-1142-2-222222-2-200000000000−2i32i32i3−2i3-11-2-1-111000000000000i3−i30−i3i300000000000000000000
χ7044-4-2-24-422-2-2-4-40012-1-1142-2-222222-2-2000000000002i3−2i3−2i32i3-11-2-1-111000000000000−i3i30i3−i300000000000000000000
χ714-40440000-4-4−2i22i24i−4i4000-400000−2i22i2−2i22i20000022−224i−4i00000000000−2i22i200000000022−220000000000000000000000000000
χ724-40440000-4-4−2i22i2−4i4i4000-400000−2i22i2−2i22i200000−2222−4i4i00000000000−2i22i2000000000−22220000000000000000000000000000
χ734-40440000-4-42i2−2i24i−4i4000-4000002i2−2i22i2−2i200000−22224i−4i000000000002i2−2i2000000000−22220000000000000000000000000000
χ744-40440000-4-42i2−2i2−4i4i4000-4000002i2−2i22i2−2i20000022−22−4i4i000000000002i2−2i200000000022−220000000000000000000000000000
χ754-404-200−2i32i3-42−2i22i24i−4i-20−2i32i3200000−2i22i2i2−i26−600022−22−2i2i23−23000000000i2−i26−60000000−22i6−i600000000000000000000000000
χ764-404-200−2i32i3-42−2i22i2−4i4i-20−2i32i3200000−2i22i2i2−i26−6000−22222i−2i−2323000000000i2−i26−600000002−2−i6i600000000000000000000000000
χ774-404-200−2i32i3-422i2−2i24i−4i-20−2i32i32000002i2−2i2−i2i2−66000−2222−2i2i23−23000000000−i2i2−6600000002−2−i6i600000000000000000000000000
χ784-404-200−2i32i3-422i2−2i2−4i4i-20−2i32i32000002i2−2i2−i2i2−6600022−222i−2i−2323000000000−i2i2−660000000−22i6−i600000000000000000000000000
χ794-404-2002i3−2i3-42−2i22i24i−4i-202i3−2i3200000−2i22i2i2−i2−6600022−22−2i2i−2323000000000i2−i2−660000000−22−i6i600000000000000000000000000
χ804-404-2002i3−2i3-42−2i22i2−4i4i-202i3−2i3200000−2i22i2i2−i2−66000−22222i−2i23−23000000000i2−i2−6600000002−2i6−i600000000000000000000000000
χ814-404-2002i3−2i3-422i2−2i24i−4i-202i3−2i32000002i2−2i2−i2i26−6000−2222−2i2i−2323000000000−i2i26−600000002−2i6−i600000000000000000000000000
χ824-404-2002i3−2i3-422i2−2i2−4i4i-202i3−2i32000002i2−2i2−i2i26−600022−222i−2i23−23000000000−i2i26−60000000−22−i6i600000000000000000000000000
χ83888-4-4-8-8-4-4-4-400002-422204444000000000000000000000-2-2000000000000000000000000000000000000000000
χ8488-8-4-4-8844-4-4000024-2-220-444-40000000000000000000002-2000000000000000000000000000000000000000000
χ858-80-4800004-8−4i24i200-40004000002i2−2i2−4i24i2000000000000000000002i2−2i2000000000000000000000000000000000000000
χ868-80-4800004-84i2−4i200-4000400000−2i22i24i2−4i200000000000000000000−2i22i2000000000000000000000000000000000000000
χ878-80-4-400−4i34i344−4i24i200202i3−2i3-2000002i2−2i22i2−2i226−26000000000000000000−i2i2−660000000000000000000000000000000000000
χ888-80-4-400−4i34i3444i2−4i200202i3−2i3-200000−2i22i2−2i22i2−2626000000000000000000i2−i26−60000000000000000000000000000000000000
χ898-80-4-4004i3−4i344−4i24i20020−2i32i3-2000002i2−2i22i2−2i2−2626000000000000000000−i2i26−60000000000000000000000000000000000000
χ908-80-4-4004i3−4i3444i2−4i20020−2i32i3-200000−2i22i2−2i22i226−26000000000000000000i2−i2−660000000000000000000000000000000000000

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