Finite Group Databasebeta

← Group #11798296

Character table — Group #11798296

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222222222222244444444444488888888888888888888888881616161616161616161616161616161616167272727272727272
order122333344666666666666248812121212121212126666812121212242424242424242424242424242424244412121212121212121212121212121212224416161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111-11-111-1-1
χ6111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-11-11-1-111
χ7111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-111
χ8111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1111-1-1
χ922222222222222222222222-2-2222222222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ10222222222222222222222-2-2-2-222222222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000
χ112222222-2-22222222222222-200-2-2-2-2-2-2-2-222220-2-2-2-2000000000000000000000000000000000000002−22−2
χ122222222-2-22222222222222-200-2-2-2-2-2-2-2-222220-2-2-2-200000000000000000000000000000000000000−22−22
χ132222222-2-2222222222222-2200-2-2-2-2-2-2-2-2-2-2-2-202222000000000000000000000000000000000000002−2−22
χ142222222-2-2222222222222-2200-2-2-2-2-2-2-2-2-2-2-2-20222200000000000000000000000000000000000000−222−2
χ152222-1-1-12222-1-1-1-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ162222-1-1-12222-1-1-1-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000
χ172222-1-1-12222-1-1-1-1-1-12-1-1-122-2-22-1-1-12-1-1-12-1-1-1-22-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000
χ182222-1-1-12222-1-1-1-1-1-12-1-1-122-2-22-1-1-12-1-1-12-1-1-1-22-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000
χ192222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2222-1-1-12-1-1-1-2111-2-211122-1-1-1-1-1-1-2-21111112-2-2-211111122-1-1-1-1-1-100000000
χ202222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2222-1-1-12-1-1-1-2111-2-211122-1-1-1-1-1-1-2-2111111-2222-1-1-1-1-1-1-2-211111100000000
χ212222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-21112-2111-2-211111122-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300000000
χ222222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-21112-2111-2-211111122-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300000000
χ23222-12-1-122-1-122-1-1-1-1-12-1-12222-12-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-100000000
χ24222-12-1-122-1-122-1-1-1-1-12-1-12222-12-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-21100000000
χ25222-12-1-122-1-122-1-1-1-1-12-1-122-2-2-12-1-1-12-1-1-12-1-1-2-12-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000
χ26222-12-1-122-1-122-1-1-1-1-12-1-122-2-2-12-1-1-12-1-1-12-1-1-2-12-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000
χ27222-12-1-122-1-122-1-1-1-1-12-1-1-2-222-12-1-1-12-1-11-211-21-211-1-122-1-1-1-111-2-211112-211-211-211-1-12-1-12-1-100000000
χ28222-12-1-122-1-122-1-1-1-1-12-1-1-2-222-12-1-1-12-1-11-211-21-211-1-122-1-1-1-111-2-21111-22-1-12-1-12-1-111-211-21100000000
χ29222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11-21121-21111-2-21111-1-122-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i300000000
χ30222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11-21121-21111-2-21111-1-122-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i300000000
χ31222-1-12-122-1-1-1-122-1-1-1-12-12222-1-12-1-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-1200000000
χ32222-1-12-122-1-1-1-122-1-1-1-12-12222-1-12-1-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-200000000
χ33222-1-12-122-1-1-1-122-1-1-1-12-122-2-2-1-12-1-1-12-1-1-12-1-2-1-12-11111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000
χ34222-1-12-122-1-1-1-122-1-1-1-12-122-2-2-1-12-1-1-12-1-1-12-1-2-1-12-11111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000
χ35222-1-12-122-1-1-1-122-1-1-1-12-1-2-222-1-12-1-1-12-111-21-211-21-1-1-1-122-1-11111-2-2112-2111-2111-2-1-1-12-1-1-1200000000
χ36222-1-12-122-1-1-1-122-1-1-1-12-1-2-222-1-12-1-1-12-111-21-211-21-1-1-1-122-1-11111-2-211-22-1-1-12-1-1-12111-2111-200000000
χ37222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-12-111-21211-211111-2-211-1-1-1-122-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i3000000000
χ38222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-12-111-21211-211111-2-211-1-1-1-122-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i3000000000
χ39222-1-1-1222-1-1-1-1-1-122-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-100000000
χ40222-1-1-1222-1-1-1-1-1-122-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-2100000000
χ41222-1-1-1222-1-1-1-1-1-122-1-1-1222-2-2-1-1-12-1-1-12-1-1-12-2-1-1-12111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000
χ42222-1-1-1222-1-1-1-1-1-122-1-1-1222-2-2-1-1-12-1-1-12-1-1-12-2-1-1-12111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000
χ43222-1-1-1222-1-1-1-1-1-122-1-1-12-2-222-1-1-12-1-1-12111-2-2111-2-1-1-1-1-1-122111111-2-22-21111-21-21-1-1-1-12-12-100000000
χ44222-1-1-1222-1-1-1-1-1-122-1-1-12-2-222-1-1-12-1-1-12111-2-2111-2-1-1-1-1-1-122111111-2-2-22-1-1-1-12-12-11111-21-2100000000
χ45222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-2-1-1-12-1-1-12111-22111-2111111-2-2-1-1-1-1-1-12200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i300000000
χ46222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-2-1-1-12-1-1-12111-22111-2111111-2-2-1-1-1-1-1-12200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i300000000
χ4722-22222-22-2-2-2-2-2-2-2-22222002-2-2-2-2-222220000000002-22-22-22-200000000000000000000000000020-20000
χ4822-22222-22-2-2-2-2-2-2-2-22222002-2-2-2-2-222220000000002-22-22-22-2000000000000000000000000000-2020000
χ4922-22222-22-2-2-2-2-2-2-2-2222200-22-2-2-2-22222000000000-22-22-22-220000000000000000000000000020-200000
χ5022-22222-22-2-2-2-2-2-2-2-2222200-22-2-2-2-22222000000000-22-22-22-2200000000000000000000000000-20200000
χ514444-2-2-2-4-444-2-2-2-2-2-24-2-2-24-400-4222-42224-2-2-20-4222000000000000000000000000000000000000000000
χ524444-2-2-2-4-444-2-2-2-2-2-24-2-2-2-4400-4222-4222-422204-2-2-2000000000000000000000000000000000000000000
χ53444-24-2-2-4-4-2-244-2-2-2-2-24-2-24-4002-4222-422-24-2-202-422000000000000000000000000000000000000000000
χ54444-24-2-2-4-4-2-244-2-2-2-2-24-2-2-44002-4222-4222-4220-24-2-2000000000000000000000000000000000000000000
χ55444-2-24-2-4-4-2-2-2-244-2-2-2-24-24-40022-4222-42-2-24-2022-42000000000000000000000000000000000000000000
χ56444-2-24-2-4-4-2-2-2-244-2-2-2-24-2-440022-4222-4222-420-2-24-2000000000000000000000000000000000000000000
χ57444-2-2-24-4-4-2-2-2-2-2-244-2-2-244-400222-4222-4-2-2-240222-4000000000000000000000000000000000000000000
χ58444-2-2-24-4-4-2-2-2-2-2-244-2-2-24-4400222-4222-4222-40-2-2-24000000000000000000000000000000000000000000
χ5944-444444-4-4-4-4-4-4-4-4-4444400004444-4-4-4-4000000000000000000000000000000000000000000000000000
χ6044-44-2-2-24-4-4-42222224-2-2-200004-2-2-2-4222000000000000000000023−2323−2323−2300000000000000000000000000
χ6144-44-2-2-24-4-4-42222224-2-2-200004-2-2-2-42220000000000000000000−2323−2323−232300000000000000000000000000
χ6244-44-2-2-2-44-4-42222224-2-2-2004-4-42224-2-2-20000000004-4-22-22-220000000000000000000000000000000000
χ6344-44-2-2-2-44-4-42222224-2-2-200-44-42224-2-2-2000000000-442-22-22-20000000000000000000000000000000000
χ6444-4-24-2-24-422-4-42222-24-2-20000-24-2-22-4220000000000000000023−230023−23−232300000000000000000000000000
χ6544-4-24-2-24-422-4-42222-24-2-20000-24-2-22-42200000000000000000−232300−232323−2300000000000000000000000000
χ6644-4-24-2-2-4422-4-42222-24-2-2004-42-422-24-2-2000000000-224-4-22-220000000000000000000000000000000000
χ6744-4-24-2-2-4422-4-42222-24-2-200-442-422-24-2-20000000002-2-442-22-20000000000000000000000000000000000
χ6844-4-2-24-24-42222-4-422-2-24-20000-2-24-222-420000000000000000023−23−23230023−2300000000000000000000000000
χ6944-4-2-24-24-42222-4-422-2-24-20000-2-24-222-4200000000000000000−232323−2300−232300000000000000000000000000
χ7044-4-2-24-2-442222-4-422-2-24-2004-422-42-2-24-2000000000-22-224-4-220000000000000000000000000000000000
χ7144-4-2-24-2-442222-4-422-2-24-200-4422-42-2-24-20000000002-22-2-442-20000000000000000000000000000000000
χ7244-4-2-2-244-4222222-4-4-2-2-240000-2-2-24222-40000000000000000023−2323−23−23230000000000000000000000000000
χ7344-4-2-2-244-4222222-4-4-2-2-240000-2-2-24222-400000000000000000−2323−232323−230000000000000000000000000000
χ7444-4-2-2-24-44222222-4-4-2-2-24004-4222-4-2-2-24000000000-22-22-224-40000000000000000000000000000000000
χ7544-4-2-2-24-44222222-4-4-2-2-2400-44222-4-2-2-240000000002-22-22-2-440000000000000000000000000000000000
χ768-8088880000000000-8-8-8-8000000000000000000000000000000000000000000000000000000000000000
χ778-808-4-4-40000−4i34i3−4i34i3−4i34i3-8444000000000000000000000000000000000000000000000000000000000000000
χ788-808-4-4-400004i3−4i34i3−4i34i3−4i3-8444000000000000000000000000000000000000000000000000000000000000000
χ798-80-48-4-400−4i34i300−4i34i34i3−4i34-844000000000000000000000000000000000000000000000000000000000000000
χ808-80-48-4-4004i3−4i3004i3−4i3−4i34i34-844000000000000000000000000000000000000000000000000000000000000000
χ818-80-4-48-400−4i34i34i3−4i300−4i34i344-84000000000000000000000000000000000000000000000000000000000000000
χ828-80-4-48-4004i3−4i3−4i34i3004i3−4i344-84000000000000000000000000000000000000000000000000000000000000000
χ838-80-4-4-4800−4i34i3−4i34i34i3−4i300444-8000000000000000000000000000000000000000000000000000000000000000
χ848-80-4-4-48004i3−4i34i3−4i3−4i34i300444-8000000000000000000000000000000000000000000000000000000000000000

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