Finite Group Databasebeta

← Group #11771749

Character table — Group #11771749

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222222222222244444444444488888888888888888888888881616161616161616161616161616161616167272727272727272
order1223333446666666666662488121212121212121266668121212122424242424242424242424242424242424666666661212121212121212888816161616
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
χ5111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ6111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii
χ7111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111ii−i−i−i−iii
χ8111111111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−i−iiiii−i−i
χ922222222222222222222222-2-2222222222222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ10222222222222222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000
χ112222222-2-22222222222222-200-2-2-2-2-2-2-2-222220-2-2-2-200000000000000000000000000000000000000−i2i2−i2i2
χ122222222-2-22222222222222-200-2-2-2-2-2-2-2-222220-2-2-2-200000000000000000000000000000000000000i2−i2i2−i2
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
χ152222-1-1-122222-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ162222-1-1-122222-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000
χ172222-1-1-122222-1-1-1-1-1-1-1-1-122-2-22-1-1-12-1-1-12-1-1-1-22-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000
χ182222-1-1-122222-1-1-1-1-1-1-1-1-122-2-22-1-1-12-1-1-12-1-1-1-22-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000
χ192222-1-1-122222-1-1-1-1-1-1-1-1-1-2-2222-1-1-12-1-1-1-2111-2-2111-2-211111122-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300000000
χ202222-1-1-122222-1-1-1-1-1-1-1-1-1-2-2222-1-1-12-1-1-1-2111-2-2111-2-211111122-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300000000
χ212222-1-1-122222-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-21112-211122-1-1-1-1-1-1-2-21111112-222-1-1-1-1-1-1-2-211111100000000
χ222222-1-1-122222-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-21112-211122-1-1-1-1-1-1-2-2111111-22-2-211111122-1-1-1-1-1-100000000
χ23222-12-1-122-1-1-1222-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-100000000
χ24222-12-1-122-1-1-1222-1-1-1-1-1-12222-12-1-1-12-1-1-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-21100000000
χ25222-12-1-122-1-1-1222-1-1-1-1-1-122-2-2-12-1-1-12-1-1-12-1-1-2-12-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000
χ26222-12-1-122-1-1-1222-1-1-1-1-1-122-2-2-12-1-1-12-1-1-12-1-1-2-12-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000
χ27222-12-1-122-1-1-1222-1-1-1-1-1-1-2-222-12-1-1-12-1-11-211-21-21111-2-21111-1-122-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i300000000
χ28222-12-1-122-1-1-1222-1-1-1-1-1-1-2-222-12-1-1-12-1-11-211-21-21111-2-21111-1-122-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i300000000
χ29222-12-1-122-1-1-1222-1-1-1-1-1-1-2-2-2-2-12-1-1-12-1-11-21121-211-1-122-1-1-1-111-2-211112-2-1-12-1-12-1-111-211-21100000000
χ30222-12-1-122-1-1-1222-1-1-1-1-1-1-2-2-2-2-12-1-1-12-1-11-21121-211-1-122-1-1-1-111-2-21111-2211-211-211-1-12-1-12-1-100000000
χ31222-1-12-122-1-1-1-1-1-1222-1-1-12222-1-12-1-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-1200000000
χ32222-1-12-122-1-1-1-1-1-1222-1-1-12222-1-12-1-1-12-1-1-12-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-200000000
χ33222-1-12-122-1-1-1-1-1-1222-1-1-122-2-2-1-12-1-1-12-1-1-12-1-2-1-12-11111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000
χ34222-1-12-122-1-1-1-1-1-1222-1-1-122-2-2-1-12-1-1-12-1-1-12-1-2-1-12-11111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000
χ35222-1-12-122-1-1-1-1-1-1222-1-1-1-2-222-1-12-1-1-12-111-21-211-211111-2-211-1-1-1-122-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i3000000000
χ36222-1-12-122-1-1-1-1-1-1222-1-1-1-2-222-1-12-1-1-12-111-21-211-211111-2-211-1-1-1-122-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i3000000000
χ37222-1-12-122-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-12-1-1-12-111-21211-21-1-1-1-122-1-11111-2-2112-2-1-1-12-1-1-12111-2111-200000000
χ38222-1-12-122-1-1-1-1-1-1222-1-1-1-2-2-2-2-1-12-1-1-12-111-21211-21-1-1-1-122-1-11111-2-211-22111-2111-2-1-1-12-1-1-1200000000
χ39222-1-1-1222-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-100000000
χ40222-1-1-1222-1-1-1-1-1-1-1-1-12222222-1-1-12-1-1-12-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-2100000000
χ41222-1-1-1222-1-1-1-1-1-1-1-1-122222-2-2-1-1-12-1-1-12-1-1-12-2-1-1-12111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000
χ42222-1-1-1222-1-1-1-1-1-1-1-1-122222-2-2-1-1-12-1-1-12-1-1-12-2-1-1-12111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000
χ43222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-222-1-1-12-1-1-12111-2-2111-2111111-2-2-1-1-1-1-1-12200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i300000000
χ44222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-222-1-1-12-1-1-12111-2-2111-2111111-2-2-1-1-1-1-1-12200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i300000000
χ45222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-2-2-2-1-1-12-1-1-12111-22111-2-1-1-1-1-1-122111111-2-22-2-1-1-1-12-12-11111-21-2100000000
χ46222-1-1-1222-1-1-1-1-1-1-1-1-1222-2-2-2-2-1-1-12-1-1-12111-22111-2-1-1-1-1-1-122111111-2-2-221111-21-21-1-1-1-12-12-100000000
χ4722-222222-22-2-22-2-22-2-22-2-2002i−2i2222-2-2-2-2000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000001+i−1−i1−i−1+i0000
χ4822-222222-22-2-22-2-22-2-22-2-2002i−2i2222-2-2-2-2000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000−1−i1+i−1+i1−i0000
χ4922-222222-22-2-22-2-22-2-22-2-200−2i2i2222-2-2-2-200000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000001−i−1+i1+i−1−i0000
χ5022-222222-22-2-22-2-22-2-22-2-200−2i2i2222-2-2-2-200000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000−1+i1−i−1−i1+i0000
χ514444-2-2-2-4-4444-2-2-2-2-2-2-2-2-24-400-4222-42224-2-2-20-4222000000000000000000000000000000000000000000
χ524444-2-2-2-4-4444-2-2-2-2-2-2-2-2-2-4400-4222-4222-422204-2-2-2000000000000000000000000000000000000000000
χ53444-24-2-2-4-4-2-2-2444-2-2-2-2-2-24-4002-4222-422-24-2-202-422000000000000000000000000000000000000000000
χ54444-24-2-2-4-4-2-2-2444-2-2-2-2-2-2-44002-4222-4222-4220-24-2-2000000000000000000000000000000000000000000
χ55444-2-24-2-4-4-2-2-2-2-2-2444-2-2-24-40022-4222-42-2-24-2022-42000000000000000000000000000000000000000000
χ56444-2-24-2-4-4-2-2-2-2-2-2444-2-2-2-440022-4222-4222-420-2-24-2000000000000000000000000000000000000000000
χ57444-2-2-24-4-4-2-2-2-2-2-2-2-2-24444-400222-4222-4-2-2-240222-4000000000000000000000000000000000000000000
χ58444-2-2-24-4-4-2-2-2-2-2-2-2-2-2444-4400222-4222-4222-40-2-2-24000000000000000000000000000000000000000000
χ5944-44444-444-4-44-4-44-4-44-4-40000-4-4-4-44444000000000000000000000000000000000000000000000000000
χ6044-44-2-2-24-44-4-4-222-222-222004i−4i4-2-2-2-4222000000000000000004i−4i−2i2i−2i2i−2i2i00000000000000000000000000
χ6144-44-2-2-24-44-4-4-222-222-22200−4i4i4-2-2-2-422200000000000000000−4i4i2i−2i2i−2i2i−2i00000000000000000000000000
χ6244-44-2-2-2-444-4-4-222-222-2220000-42224-2-2-200000000000−2i32i3−2i32i3−2i32i30000000000000000000000000000000000
χ6344-44-2-2-2-444-4-4-222-222-2220000-42224-2-2-2000000000002i3−2i32i3−2i32i3−2i30000000000000000000000000000000000
χ6444-4-24-2-24-4-2224-4-4-222-222004i−4i-24-2-22-42200000000000000000−2i2i4i−4i−2i2i−2i2i00000000000000000000000000
χ6544-4-24-2-24-4-2224-4-4-222-22200−4i4i-24-2-22-422000000000000000002i−2i−4i4i2i−2i2i−2i00000000000000000000000000
χ6644-4-24-2-2-44-2224-4-4-222-22200002-422-24-2-2000000000−2i32i300−2i32i32i3−2i30000000000000000000000000000000000
χ6744-4-24-2-2-44-2224-4-4-222-22200002-422-24-2-20000000002i3−2i3002i3−2i3−2i32i30000000000000000000000000000000000
χ6844-4-2-24-24-4-222-2224-4-4-222004i−4i-2-24-222-4200000000000000000−2i2i−2i2i4i−4i−2i2i00000000000000000000000000
χ6944-4-2-24-24-4-222-2224-4-4-22200−4i4i-2-24-222-42000000000000000002i−2i2i−2i−4i4i2i−2i00000000000000000000000000
χ7044-4-2-24-2-44-222-2224-4-4-222000022-42-2-24-2000000000−2i32i32i3−2i300−2i32i30000000000000000000000000000000000
χ7144-4-2-24-2-44-222-2224-4-4-222000022-42-2-24-20000000002i3−2i3−2i32i3002i3−2i30000000000000000000000000000000000
χ7244-4-2-2-244-4-222-222-2224-4-4004i−4i-2-2-24222-400000000000000000−2i2i−2i2i−2i2i4i−4i00000000000000000000000000
χ7344-4-2-2-244-4-222-222-2224-4-400−4i4i-2-2-24222-4000000000000000002i−2i2i−2i2i−2i−4i4i00000000000000000000000000
χ7444-4-2-2-24-44-222-222-2224-4-40000222-4-2-2-24000000000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000
χ7544-4-2-2-24-44-222-222-2224-4-40000222-4-2-2-240000000002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000
χ768-80888800-800-800-800-800000000000000000000000000000000000000000000000000000000000000000
χ778-808-4-4-400-8004−4i34i34−4i34i34−4i34i3000000000000000000000000000000000000000000000000000000000000000
χ788-808-4-4-400-80044i3−4i344i3−4i344i3−4i3000000000000000000000000000000000000000000000000000000000000000
χ798-80-48-4-4004−4i34i3-8004−4i34i344i3−4i3000000000000000000000000000000000000000000000000000000000000000
χ808-80-48-4-40044i3−4i3-80044i3−4i34−4i34i3000000000000000000000000000000000000000000000000000000000000000
χ818-80-4-48-4004−4i34i344i3−4i3-8004−4i34i3000000000000000000000000000000000000000000000000000000000000000
χ828-80-4-48-40044i3−4i34−4i34i3-80044i3−4i3000000000000000000000000000000000000000000000000000000000000000
χ838-80-4-4-48004−4i34i34−4i34i344i3−4i3-800000000000000000000000000000000000000000000000000000000000000000
χ848-80-4-4-480044i3−4i344i3−4i34−4i34i3-800000000000000000000000000000000000000000000000000000000000000000

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