Finite Group Databasebeta

← Group #11868101

Character table — Group #11868101

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11222222222444444444444466668888888888888881212121212121212121216161616161624242424242424242424242424243636363648487272
order122334466121236668812121212122424224468812242424242424242424242424668888121224242424242424688122424242424242424248861222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111-1-111111111-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-1-1-1-111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-11-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-111111111111111111-1-1-1-111-1-1111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111-1-1-1-11-1-11-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1111111-1-1
χ9111111111111111-1-111111-1-1111111-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-11-111-1111-1-1-1-1-1-111-1-11-11-1
χ10111111111111111-1-111111-1-1111111-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-11-11-1-111-1-1-1-111-1-111-11-11
χ11111111111111111-1-111111-1-111111-111-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1111-111-111-1-111-1-1-1-111-1-1-11-11
χ12111111111111111-1-111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-1-11-1-1-111-1-111-1-1111-11-1
χ13111111111111111-1-111111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111-1-1-11-11-111-1-11111-1-1-1-1111-1-11
χ14111111111111111-1-111111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11-1-11-1-1-111111111-1-1-111-1
χ15111111111111111-1-111111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1111-1111-1111-1-111-1-1-1-111-111-1
χ16111111111111111-1-111111-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11-1-111-1-1111111-1-11-1-11
χ1722222-2-222-2-2222200-2-2-2-2-20022-2-2200-2000000000000022002i−2i-2-20000000000000000002i−2i002i−2i0000
χ1822222-2-222-2-2222200-2-2-2-2-20022-2-2200-200000000000002200−2i2i-2-2000000000000000000−2i2i00−2i2i0000
χ1922222-2-222-2-2222200-2-2-2-2-200-2-222200-20000000000000-2-2002i−2i220000000000000000002i−2i00−2i2i0000
χ2022222-2-222-2-2222200-2-2-2-2-200-2-222200-20000000000000-2-200−2i2i22000000000000000000−2i2i002i−2i0000
χ212222-1222-122-12-1-122-1-1-12-1-1-10000-122-1222222-1-1-1-1-12200002200-1-1-1-1-1-122-100-1000000-1-10000-1-100
χ222222-1222-122-12-1-122-1-1-12-1-1-10000-122-1222222-1-1-1-1-1-2-20000-2-200-1-1-1-1-1-1-2-210010000001100001100
χ232222-1222-122-12-1-122-1-1-12-1-1-10000-1-2-2-1-2-2-2-222-1-1-1-1-12200002200111111-2-2-100-1000000-1-100001100
χ242222-1222-122-12-1-122-1-1-12-1-1-10000-1-2-2-1-2-2-2-222-1-1-1-1-1-2-20000-2-200111111221001000000110000-1-100
χ252222-1222-122-12-1-1-2-2-1-1-12-1110000-12-2-122-2-2-2-211111220000-2-200-1-1-11112-2-100-1000000110000-1100
χ262222-1222-122-12-1-1-2-2-1-1-12-1110000-12-2-122-2-2-2-211111-2-200002200-1-1-1111-221001000000-1-100001-100
χ272222-1222-122-12-1-1-2-2-1-1-12-1110000-1-22-1-2-222-2-211111220000-2-200111-1-1-1-22-100-10000001100001-100
χ282222-1222-122-12-1-1-2-2-1-1-12-1110000-1-22-1-2-222-2-211111-2-200002200111-1-1-12-21001000000-1-10000-1100
χ29222-1222-12-1-1-1-12-1222-1-1-12222222-122-1-1-1-1-1-1-12-1-1-1-100-1-12200-1-12-1-12-1-1000220-1-1-1-1-1-10000000000
χ30222-1222-12-1-1-1-12-1222-1-1-12222222-1-2-2-11111-1-12-1-1-1-100-1-12200-1-1-211-211000-2-201111-1-10000000000
χ31222-1222-12-1-1-1-12-1222-1-1-1222-2-2-2-2-122-1-1-1-1-1-1-12-1-1-1-10011-2-200112-1-12-1-1000-2-201111110000000000
χ32222-1222-12-1-1-1-12-1222-1-1-1222-2-2-2-2-1-2-2-11111-1-12-1-1-1-10011-2-20011-211-211000220-1-1-1-1110000000000
χ33222-1222-12-1-1-1-12-1-2-22-1-1-12-2-22222-12-2-1-1-11111-2111100-1-1-2-200-1-12-1-1-2110002-20-1-111110000000000
χ34222-1222-12-1-1-1-12-1-2-22-1-1-12-2-22222-1-22-111-1-111-2111100-1-1-2-200-1-1-2112-1-1000-22011-1-1110000000000
χ35222-1222-12-1-1-1-12-1-2-22-1-1-12-2-2-2-2-2-2-12-2-1-1-11111-2111100112200112-1-1-211000-22011-1-1-1-10000000000
χ36222-1222-12-1-1-1-12-1-2-22-1-1-12-2-2-2-2-2-2-1-22-111-1-111-211110011220011-2112-1-10002-20-1-111-1-10000000000
χ3722-2222-222222-2-2200222-2-2002-22-2-200-2000000000002-22-200002-200000000200-2000000002-2000000
χ3822-2222-222222-2-2200222-2-2002-22-2-200-200000000000-222-200002-200000000-200200000000-22000000
χ3922-2222-222222-2-2200222-2-200-22-22-200-2000000000002-2-220000-2200000000200-200000000-22000000
χ4022-2222-222222-2-2200222-2-200-22-22-200-200000000000-22-220000-2200000000-2002000000002-2000000
χ4122-222-2222-2-22-2-222-2-2-2-222222-2-22-200200002-2-222-2-2002-22-200-2200000000000000002-20000000000
χ4222-222-2222-2-22-2-222-2-2-2-22222-222-2-200200002-2-222-2-200-22-22002-20000000000000000-220000000000
χ4322-222-2222-2-22-2-22-22-2-2-222-2-22-2-22-20020000-222-2-222002-2-2200-220000000000000000-220000000000
χ4422-222-2222-2-22-2-22-22-2-2-222-2-2-222-2-20020000-222-2-22200-222-2002-200000000000000002-20000000000
χ4522-2-12-22-1211-11-2-12-2-211-12222-2-22100-13−33−3-11-2-1-11100-112-2001-103−303−30000003−33−3-110000000000
χ4622-2-12-22-1211-11-2-12-2-211-12222-2-22100-1−33−33-11-2-1-11100-112-2001-10−330−33000000−33−33-110000000000
χ4722-2-12-22-1211-11-2-12-2-211-1222-222-2100-13−33−3-11-2-1-111001-1-2200-1103−303−3000000−33−331-10000000000
χ4822-2-12-22-1211-11-2-12-2-211-1222-222-2100-1−33−33-11-2-1-111001-1-2200-110−330−330000003−33−31-10000000000
χ4922-2-12-22-1211-11-2-1-22-211-12-2-22-2-22100-13−3−331-1211-1-100-11-22001-103−30−330000003−3−331-10000000000
χ5022-2-12-22-1211-11-2-1-22-211-12-2-22-2-22100-1−333−31-1211-1-100-11-22001-10−3303−3000000−333−31-10000000000
χ5122-2-12-22-1211-11-2-1-22-211-12-2-2-222-2100-13−3−331-1211-1-1001-12-200-1103−30−33000000−333−3-110000000000
χ5222-2-12-22-1211-11-2-1-22-211-12-2-2-222-2100-1−333−31-1211-1-1001-12-200-110−3303−30000003−3−33-110000000000
χ534444-2-4-44-2-4-4-24-2-200222-42000000-2002000000000000000004i−4i00000000000000000000−2i2i00000000
χ544444-2-4-44-2-4-4-24-2-200222-42000000-200200000000000000000−4i4i000000000000000000002i−2i00000000
χ55444-24-4-4-2422-2-24-200-4222-40044-4-4-20020000000000000-2-20000220000000000000000000000000000
χ56444-24-4-4-2422-2-24-200-4222-400-4-444-20020000000000000220000-2-20000000000000000000000000000
χ57444-2-244-2-2-2-21-2-2144-211-2-2-2-200001441-2-2-2-2-2-2-211110000000000-211-2110000000000000000000000
χ58444-2-244-2-2-2-21-2-2144-211-2-2-2-200001-4-412222-2-2-2111100000000002-1-12-1-10000000000000000000000
χ59444-2-244-2-2-2-21-2-21-4-4-211-2-222000014-41-2-222222-1-1-1-10000000000-2112-1-10000000000000000000000
χ60444-2-244-2-2-2-21-2-21-4-4-211-2-22200001-44122-2-2222-1-1-1-100000000002-1-1-2110000000000000000000000
χ6144-44-24-44-244-2-42-200-2-2-2-420000002002000000000004-40000000000000000-20020000000000000000
χ6244-44-24-44-244-2-42-200-2-2-2-42000000200200000000000-440000000000000000200-20000000000000000
χ6344-44-2-444-2-4-4-2-42-24-42224-2-2-20000200-200004-42-2-22200000000000000000000000000000000000000
χ6444-44-2-444-2-4-4-2-42-2-442224-2220000200-20000-44-222-2-200000000000000000000000000000000000000
χ6544-4-244-4-24-2-2-22-4-2004-2-22-4004-44-420020000000000000-220000-220000000000000000000000000000
χ6644-4-244-4-24-2-2-22-4-2004-2-22-400-44-44200200000000000002-200002-20000000000000000000000000000
χ6744-4-2-2-44-2-22212214-42-1-1-2-2-2-20000-100123−2323−23-22211-1-100000000000−330−330000000000000000000000
χ6844-4-2-2-44-2-22212214-42-1-1-2-2-2-20000-1001−2323−2323-22211-1-1000000000003−303−30000000000000000000000
χ6944-4-2-2-44-2-2221221-442-1-1-2-2220000-100123−23−23232-2-2-1-11100000000000−3303−30000000000000000000000
χ7044-4-2-2-44-2-2221221-442-1-1-2-2220000-1001−232323−232-2-2-1-111000000000003−30−330000000000000000000000
χ71888-4-4-8-8-4-4442-4-42004-2-244000000200-20000000000000000000000000000000000000000000000000
χ7288-8-4-48-8-4-4-4-4244200-42244000000-200-20000000000000000000000000000000000000000000000000
χ738-808800-8-800800-8000000000000000000000000000000000000000000000000000000000000000000
χ748-808-400-8400-4004000000026−2600000000000000026−260000000000000000000000000000000000000000
χ758-808-400-8400-40040000000−2626000000000000000−26260000000000000000000000000000000000000000
χ768-80-48004-843−43-400400043−430000000000000000000000000000000000000000000000000000000000000
χ778-80-48004-8−4343-4004000−43430000000000000000000000000000000000000000000000000000000000000
χ788-80-4-4004443−43200-2000−23230026−26000000000000000−6632−3200000000000000000000000000000000000000
χ798-80-4-4004443−43200-2000−232300−26260000000000000006−6−323200000000000000000000000000000000000000
χ808-80-4-40044−4343200-200023−230026−26000000000000000−66−323200000000000000000000000000000000000000
χ818-80-4-40044−4343200-200023−2300−26260000000000000006−632−3200000000000000000000000000000000000000

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