Finite Group Databasebeta

← Group #11868024

Character table — Group #11868024

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222222222334444444444444444666666666888888888888812121212121212121212121616161616162424242424242424242424243636363648487272
order12233446688121244366681212121212242424242424224668812126881224242424242424242424688812242424242424242424242468812242424242424248861224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111-1-111111111111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-11-1-1-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1111111111-1-11-1-1-1-111-1-1-1-111-1-1
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
χ71111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1111111-1-1
χ9111111111-1-111111111-111111-1-1-1-1-1-111111-1-11111-1111-1-1-1-1-1-1-1111-1-1-11-1-1-1-1111-1-1-11-111-1111-1-1-1-111-1-11-1-11
χ10111111111-1-111111111-111111-1-1-1-1-1-111111-1-11111-1111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1111-1-1-1-11-11-1-111-1-111-1-111-111-1
χ11111111111-1-111111111-111111-1-1-1-1-1-111111-1-1111-111-1-111-1-1-1-1-1111-1-1-11-1-1-1-1-1-1-1111-111-111-1-111-1-111-1-1-111-1
χ12111111111-1-111111111-111111-1-1-1-1-1-111111-1-1111-111-1-111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-11111-1-1-11-1-1-11111-1-1111-1-11
χ13111111111-1-111-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-1-1-111-11-1-1-11111111-1-1-11-11-111-1-111-1-1-1-1111-11-1
χ14111111111-1-111-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-1-1-1-1-1-1111-11111111-1-1-1-11-1-11-1-1-1111111-1-1-11-11
χ15111111111-1-111-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-111-11-1-1-11111-1-1-1111-1111-1111-1-1-1-1-1-111-11-11
χ16111111111-1-111-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-1-1-1-1-1-1-1111-11111-1-1-11111-1-11-1-111-1-11111-1-11-11-1
χ1722222-2-22200-2-22222220-2-2-2-2-2000000-2-22-2-20022200-200000000000-202i−2i2000000000000000000002i−2i002i−2i0000
χ1822222-2-22200-2-22222220-2-2-2-2-2000000-2-22-2-20022200-200000000000-20−2i2i200000000000000000000−2i2i00−2i2i0000
χ1922222-2-22200-2-2-2-222220-2-2-2-2-200000022-22200-2-2200-200000000000202i−2i-2000000000000000000002i−2i00−2i2i0000
χ2022222-2-22200-2-2-2-222220-2-2-2-2-200000022-22200-2-2200-20000000000020−2i2i-200000000000000000000−2i2i002i−2i0000
χ212222-1222-1222200-12-1-12-1-1-12-12222-1-1000000000-122-12222-1-1-1-1-122002200000-1-1-1-1-1-122-100-10000-1-10000-1-100
χ222222-1222-1222200-12-1-12-1-1-12-12222-1-1000000000-122-12222-1-1-1-1-1-2-200-2-200000-1-1-1-1-1-1-2-2100100001100001100
χ232222-1222-1222200-12-1-12-1-1-12-12222-1-1000000000-1-2-2-1-2-2-2-2-1-1-1-1-122002200000111111-2-2-100-10000-1-100001100
χ242222-1222-1222200-12-1-12-1-1-12-12222-1-1000000000-1-2-2-1-2-2-2-2-1-1-1-1-1-2-200-2-2000001111112210010000110000-1-100
χ252222-1222-1-2-22200-12-1-1-2-1-1-12-1-2-2-2-211000000000-12-2-122-2-2111112200-2-200000-1-1-11112-2-100-10000110000-1100
χ262222-1222-1-2-22200-12-1-1-2-1-1-12-1-2-2-2-211000000000-12-2-122-2-211111-2-2002200000-1-1-1111-2210010000-1-100001-100
χ272222-1222-1-2-22200-12-1-1-2-1-1-12-1-2-2-2-211000000000-1-22-1-2-222111112200-2-200000111-1-1-1-22-100-100001100001-100
χ282222-1222-1-2-22200-12-1-1-2-1-1-12-1-2-2-2-211000000000-1-22-1-2-22211111-2-2002200000111-1-1-12-210010000-1-10000-1100
χ29222-1222-1222-1-122-1-12-122-1-1-12-1-1-1-122222-1-122-1-1-122-1-1-1-1-12-1-1-1-100-1200-1-1-1-1-12-1-12-1-1000220-1-1-1-10000000000
χ30222-1222-1222-1-122-1-12-122-1-1-12-1-1-1-122222-1-122-1-1-1-2-2-111112-1-1-1-100-1200-1-1-1-1-1-211-211000-2-2011110000000000
χ31222-1222-1222-1-1-2-2-1-12-122-1-1-12-1-1-1-122-2-2-211-2-211-122-1-1-1-1-12-1-1-1-1001-200111112-1-12-1-1000-2-2011110000000000
χ32222-1222-1222-1-1-2-2-1-12-122-1-1-12-1-1-1-122-2-2-211-2-211-1-2-2-111112-1-1-1-1001-20011111-211-211000220-1-1-1-10000000000
χ33222-1222-12-2-2-1-122-1-12-1-22-1-1-121111-2-2222-1-1-2-2-1-1-12-2-1-1-111-2111100-1-200-111112-1-1-2110002-20-1-1110000000000
χ34222-1222-12-2-2-1-122-1-12-1-22-1-1-121111-2-2222-1-1-2-2-1-1-1-22-111-1-1-2111100-1-200-11111-2112-1-1000-22011-1-10000000000
χ35222-1222-12-2-2-1-1-2-2-1-12-1-22-1-1-121111-2-2-2-2-2112211-12-2-1-1-111-211110012001-1-1-1-12-1-1-211000-22011-1-10000000000
χ36222-1222-12-2-2-1-1-2-2-1-12-1-22-1-1-121111-2-2-2-2-2112211-1-22-111-1-1-211110012001-1-1-1-1-2112-1-10002-20-1-1110000000000
χ3722-2222-2220022222-2-220222-2-20000002-2-2220022-200-20000000002-2-2000-2000000000000200-2000000-22000000
χ3822-2222-2220022222-2-220222-2-20000002-2-2220022-200-2000000000-22-2000-2000000000000-20020000002-2000000
χ3922-2222-2220022-2-22-2-220222-2-2000000-222-2-200-2-2-200-20000000002-220002000000000000200-20000002-2000000
χ4022-2222-2220022-2-22-2-220222-2-2000000-222-2-200-2-2-200-2000000000-2220002000000000000-2002000000-22000000
χ4122-222-222222-2-2222-2-22-2-2-2-22222-2-222-22-2-2-22222-20020000-222-2-2002-200-222-2-200000000000000000000000000
χ4222-222-222222-2-2-2-22-2-22-2-2-2-22222-2-2222-2222-2-2-2-2-20020000-222-2-200-22002-2-22200000000000000000000000000
χ4322-222-2222-2-2-2-2222-2-222-2-2-222-2-222-2-2-22-2-2-2-2-222-200200002-2-222002200-2-2-22200000000000000000000000000
χ4422-222-2222-2-2-2-2-2-22-2-222-2-2-222-2-222-2-22-222222-2-2-200200002-2-22200-2-200222-2-200000000000000000000000000
χ4522-2-12-22-12221122-11-2-1-2-211-12-1-11122-22-21122-1-1100-13−33−3-2-1-11100-1-2001-1-11103−303−30000003−33−30000000000
χ4622-2-12-22-12221122-11-2-1-2-211-12-1-11122-22-21122-1-1100-1−33−33-2-1-11100-1-2001-1-1110−330−33000000−33−330000000000
χ4722-2-12-22-122211-2-2-11-2-1-2-211-12-1-111222-22-1-1-2-211100-13−33−3-2-1-111001200-111-1-103−303−3000000−33−330000000000
χ4822-2-12-22-122211-2-2-11-2-1-2-211-12-1-111222-22-1-1-2-211100-1−33−33-2-1-111001200-111-1-10−330−330000003−33−30000000000
χ4922-2-12-22-12-2-21122-11-2-12-211-1211-1-1-2-2-22-211-2-2-1-1100-13−3−33211-1-100-1200111-1-103−30−330000003−3−330000000000
χ5022-2-12-22-12-2-21122-11-2-12-211-1211-1-1-2-2-22-211-2-2-1-1100-1−333−3211-1-100-1200111-1-10−3303−3000000−333−30000000000
χ5122-2-12-22-12-2-211-2-2-11-2-12-211-1211-1-1-2-22-22-1-12211100-13−3−33211-1-1001-200-1-1-11103−30−33000000−333−30000000000
χ5222-2-12-22-12-2-211-2-2-11-2-12-211-1211-1-1-2-22-22-1-12211100-1−333−3211-1-1001-200-1-1-1110−3303−30000003−3−330000000000
χ534444-2-4-44-200-4-400-24-2-20222-42000000000000000-200200000000000004i−4i000000000000000000000−2i2i00000000
χ544444-2-4-44-200-4-400-24-2-20222-42000000000000000-20020000000000000−4i4i0000000000000000000002i−2i00000000
χ55444-24-4-4-24002244-2-24-20-4222-4000000-4-442200-2-2-2002000000000002000-2000000000000000000000000000000
χ56444-24-4-4-240022-4-4-2-24-20-4222-400000044-4-2-20022-200200000000000-20002000000000000000000000000000000
χ57444-2-244-2-244-2-2001-2-214-211-2-2-2-2-2-2-2-20000000001441-2-2-2-2-2111100000000000-211-21100000000000000000000
χ58444-2-244-2-244-2-2001-2-214-211-2-2-2-2-2-2-2-20000000001-4-412222-21111000000000002-1-12-1-100000000000000000000
χ59444-2-244-2-2-4-4-2-2001-2-21-4-211-2-222222200000000014-41-2-2222-1-1-1-100000000000-2112-1-100000000000000000000
χ60444-2-244-2-2-4-4-2-2001-2-21-4-211-2-22222220000000001-44122-2-22-1-1-1-1000000000002-1-1-21100000000000000000000
χ6144-44-24-44-2004400-2-42-20-2-2-2-4200000000000000020020000000004-400000000000000000-200200000000000000
χ6244-44-24-44-2004400-2-42-20-2-2-2-420000000000000002002000000000-4400000000000000000200-200000000000000
χ6344-44-2-444-244-4-400-2-42-2-42224-244-4-4-2-2000000000200-200002-2-2220000000000000000000000000000000000000
χ6444-44-2-444-2-4-4-4-400-2-42-242224-2-4-44422000000000200-20000-222-2-20000000000000000000000000000000000000
χ6544-4-244-4-2400-2-244-22-4-204-2-22-40000004-4-4-2-200-2-220020000000000020002000000000000000000000000000000
χ6644-4-244-4-2400-2-2-4-4-22-4-204-2-22-4000000-444220022200200000000000-2000-2000000000000000000000000000000
χ6744-4-2-2-44-2-24422001221-42-1-1-2-2-2-222-2-2000000000-100123−2323−23211-1-1000000000000−330−3300000000000000000000
χ6844-4-2-2-44-2-24422001221-42-1-1-2-2-2-222-2-2000000000-1001−2323−2323211-1-10000000000003−303−300000000000000000000
χ6944-4-2-2-44-2-2-4-42200122142-1-1-2-222-2-222000000000-100123−23−2323-2-1-111000000000000−3303−300000000000000000000
χ7044-4-2-2-44-2-2-4-42200122142-1-1-2-222-2-222000000000-1001−232323−23-2-1-1110000000000003−30−3300000000000000000000
χ714-404400-4-4−2i22i2004i−4i400-4000000−2i22i200−2i22i20000022−224i−4i000000000−2i22i200000000022−220000000000000000000000000000
χ724-404400-4-4−2i22i200−4i4i400-4000000−2i22i200−2i22i200000−2222−4i4i000000000−2i22i2000000000−22220000000000000000000000000000
χ734-404400-4-42i2−2i2004i−4i400-40000002i2−2i2002i2−2i200000−22224i−4i0000000002i2−2i2000000000−22220000000000000000000000000000
χ744-404400-4-42i2−2i200−4i4i400-40000002i2−2i2002i2−2i20000022−22−4i4i0000000002i2−2i200000000022−220000000000000000000000000000
χ754-40-24002-4−2i22i223−234i−4i-20020023−2300i2−i2i6−i6−2i22i2000−2i32i322−22−2i2i000000000i2−i2i6−i60000000−226−600000000000000000000000000
χ764-40-24002-4−2i22i223−23−4i4i-20020023−2300i2−i2i6−i6−2i22i20002i3−2i3−22222i−2i000000000i2−i2i6−i600000002−2−6600000000000000000000000000
χ774-40-24002-4−2i22i2−23234i−4i-200200−232300i2−i2−i6i6−2i22i20002i3−2i322−22−2i2i000000000i2−i2−i6i60000000−22−6600000000000000000000000000
χ784-40-24002-4−2i22i2−2323−4i4i-200200−232300i2−i2−i6i6−2i22i2000−2i32i3−22222i−2i000000000i2−i2−i6i600000002−26−600000000000000000000000000
χ794-40-24002-42i2−2i223−234i−4i-20020023−2300−i2i2−i6i62i2−2i2000−2i32i3−2222−2i2i000000000−i2i2−i6i600000002−2−6600000000000000000000000000
χ804-40-24002-42i2−2i223−23−4i4i-20020023−2300−i2i2−i6i62i2−2i20002i3−2i322−222i−2i000000000−i2i2−i6i60000000−226−600000000000000000000000000
χ814-40-24002-42i2−2i2−23234i−4i-200200−232300−i2i2i6−i62i2−2i20002i3−2i3−2222−2i2i000000000−i2i2i6−i600000002−26−600000000000000000000000000
χ824-40-24002-42i2−2i2−2323−4i4i-200200−232300−i2i2i6−i62i2−2i2000−2i32i322−222i−2i000000000−i2i2i6−i60000000−22−6600000000000000000000000000
χ83888-4-4-8-8-4-40044002-4-4204-2-244000000000000000200-20000000000000000000000000000000000000000000000
χ8488-8-4-48-8-4-400-4-40024420-42244000000000000000-200-20000000000000000000000000000000000000000000000
χ858-808-400-84−4i24i20000-4004000000−4i24i2002i2−2i20000000000000000002i2−2i2000000000000000000000000000000000000000
χ868-808-400-844i2−4i20000-40040000004i2−4i200−2i22i2000000000000000000−2i22i2000000000000000000000000000000000000000
χ878-80-4-40044−4i24i243−4300200-200−2323002i2−2i22i6−2i62i2−2i2000000000000000000−i2i2−i6i60000000000000000000000000000000000000
χ888-80-4-40044−4i24i2−434300200-20023−23002i2−2i2−2i62i62i2−2i2000000000000000000−i2i2i6−i60000000000000000000000000000000000000
χ898-80-4-400444i2−4i243−4300200-200−232300−2i22i2−2i62i6−2i22i2000000000000000000i2−i2i6−i60000000000000000000000000000000000000
χ908-80-4-400444i2−4i2−434300200-20023−2300−2i22i22i6−2i6−2i22i2000000000000000000i2−i2−i6i60000000000000000000000000000000000000

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