Finite Group Databasebeta

← Group #11882331

Character table — Group #11882331

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order122233446666663666881212121244442466121212122424242424242424448888121212126661212122244244466121212122424242488121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11-1-11111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1111-1-1-1-111111111-1-1-1-1-11-11-1-1-111111-1-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1111-1-1-1-11-111
χ5111111111111111111111111-1-11111111111111111111-1-1-11111-1-1111111-1-1-1-11-11-1111-1-1-1-1-111-1-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-1-1-111-1-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-11111-111-1-1-11111-1-1-1-1-1-11-1-11
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111111111-1-11111-1-11-1-1-1-1-1-1-111-1
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-111-1-111-1111-1-11111-1-11-1
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1111-1-1-1-1-1-111-1-1-1-1-11-1-1111111-11
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11-111-1-111-1-1111-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-111111-1
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-111-1-111111-111-1-111-1-1-11
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111111-1-1111-1-1-1-11111-1-1-11-11
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-111-1-1-1-111-11111-1-11-11-1
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-200002222000000-2-222000000-200-20000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-2000000002-20000-2-22200000022-2-2000000200-20000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-22000022-2-200000022-2-2000000-20020000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-2000000-2-22200000020020000000000
χ2122222-1222-1-1-122-1-1-1-1222-12-100222222-1-1-1-122-1-1-1-1-1-1200022-1-100-1-1-12-1-100002020-1-1-100000-1-100-1000
χ2222222-1222-1-1-122-1-1-1-1222-12-10022-2-2-2-211-1-122-1-1-1-1-1-1200022-1-100111-2110000-20-2011-100000-1-1001000
χ2322222-1222-1-1-122-1-1-1-1222-12-100-2-22222-1-1-1-122-1-1-1-1-1-1-2000-2-21100-1-1-12-1-10000-20-201110000011001000
χ2422222-1222-1-1-122-1-1-1-1222-12-100-2-2-2-2-2-211-1-122-1-1-1-1-1-1-2000-2-21100111-21100002020-1-11000001100-1000
χ2522222-1222-1-1-122-1-1-1-1-2-22-12-100222-22211-1-1-2-21111112000-2-2-1-100-1-1-1-2110000-202011-1000001100-1000
χ2622222-1222-1-1-122-1-1-1-1-2-22-12-10022-22-2-2-1-1-1-1-2-21111112000-2-2-1-1001112-1-1000020-20-1-1-10000011001000
χ2722222-1222-1-1-122-1-1-1-1-2-22-12-100-2-22-22211-1-1-2-2111111-2000221100-1-1-1-211000020-20-1-1100000-1-1001000
χ2822222-1222-1-1-122-1-1-1-1-2-22-12-100-2-2-22-2-2-1-1-1-1-2-2111111-20002211001112-1-10000-202011100000-1-100-1000
χ292222-1222-1222-1-1-1-1-1-122-12-12220022-1-122-1-1-1-122-1-1-1-102220000-1-12-1-1-1-1-100000202000-1-1-1-1-100000-100
χ302222-1222-1222-1-1-1-1-1-122-12-122200-2-211-2-2-1-1-1-122-1-1-1-102220000-1-1-21111100000-20-200011-1-1-100000100
χ312222-1222-1222-1-1-1-1-1-122-12-12-2-20022-1-122-1-1-1-122-1-1-1-10-2-2-20000112-1-1-1-1-100000-20-20001111100000100
χ322222-1222-1222-1-1-1-1-1-122-12-12-2-200-2-211-2-2-1-1-1-122-1-1-1-10-2-2-2000011-21111100000202000-1-111100000-100
χ332222-1222-1222-1-1-1-1-1-1-2-2-12-1222002-2-1-1-2-2-1-111-2-2111102-2-20000-1-12-1-11110000020-2000-1-1-11100000100
χ342222-1222-1222-1-1-1-1-1-1-2-2-12-122200-221122-1-111-2-2111102-2-20000-1-1-211-1-1-100000-20200011-11100000-100
χ352222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-2002-2-1-1-2-2-1-111-2-211110-2220000112-1-111100000-202000111-1-100000-100
χ362222-1222-1222-1-1-1-1-1-1-2-2-12-12-2-200-221122-1-111-2-211110-222000011-211-1-1-10000020-2000-1-11-1-100000100
χ3722-2-22200-22-2-22-222-2-2−i2i200002-22i−2i00000000−i2i2−i2i2−i2−i2i2i200−i2i22−22i−2i2-2000000002i−2i0000000000−i2i22−22−20000
χ3822-2-22200-22-2-22-222-2-2−i2i200002-2−2i2i00000000−i2i2−i2i2−i2−i2i2i200−i2i2−22−2i2i2-200000000−2i2i0000000000−i2i2−22−220000
χ3922-2-22200-22-2-22-222-2-2−i2i20000-222i−2i00000000−i2i2−i2i2−i2−i2i2i200i2−i22−22i−2i-2200000000−2i2i0000000000i2−i22−2−220000
χ4022-2-22200-22-2-22-222-2-2−i2i20000-22−2i2i00000000−i2i2−i2i2−i2−i2i2i200i2−i2−22−2i2i-22000000002i−2i0000000000i2−i2−222−20000
χ4122-2-22200-22-2-22-222-2-2i2−i200002-22i−2i00000000i2−i2i2−i2i2i2−i2−i200i2−i2−222i−2i2-2000000002i−2i0000000000i2−i2−22−220000
χ4222-2-22200-22-2-22-222-2-2i2−i200002-2−2i2i00000000i2−i2i2−i2i2i2−i2−i200i2−i22−2−2i2i2-200000000−2i2i0000000000i2−i22−22−20000
χ4322-2-22200-22-2-22-222-2-2i2−i20000-222i−2i00000000i2−i2i2−i2i2i2−i2−i200−i2i2−222i−2i-2200000000−2i2i0000000000−i2i2−222−20000
χ4422-2-22200-22-2-22-222-2-2i2−i20000-22−2i2i00000000i2−i2i2−i2i2i2−i2−i200−i2i22−2−2i2i-22000000002i−2i0000000000−i2i22−2−220000
χ4544444-2-4-44-2-2-244-2-2-2-200-42-4200440000002200000000-400000-2-200000000000000000020000000000000
χ4644444-2-4-44-2-2-244-2-2-2-200-42-4200-4-4000000220000000040000022000000000000000000-20000000000000
χ474444-24-4-4-2444-2-2-2-2-2-2002-42-4440000000022000000000-4000000-2-2000000000000000000020000000000
χ484444-24-4-4-2444-2-2-2-2-2-2002-42-4-4-400000000220000000004000000220000000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-211-211000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-2111100000000002-1-12-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2112-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-1-1-211000000000000000000000000
χ5344-4-44-200-4-2224-4-2-222−2i22i20000004i−4i00000000−2i22i2i2−i2i2i2−i2−i2000022−22−2i2i000000000000000000000000−22000000
χ5444-4-44-200-4-2224-4-2-222−2i22i2000000−4i4i00000000−2i22i2i2−i2i2i2−i2−i20000−22222i−2i0000000000000000000000002−2000000
χ5544-4-44-200-4-2224-4-2-2222i2−2i20000004i−4i000000002i2−2i2−i2i2−i2−i2i2i20000−2222−2i2i0000000000000000000000002−2000000
χ5644-4-44-200-4-2224-4-2-2222i2−2i2000000−4i4i000000002i2−2i2−i2i2−i2−i2i2i2000022−222i−2i000000000000000000000000−22000000
χ5744-4-4-240024-4-4-22-2-222−2i22i200004-40000000000i2−i2−2i22i2i2i2−i2−i200−2i22i20000-2200000000000000000000i2−i200000000
χ5844-4-4-240024-4-4-22-2-222−2i22i20000-440000000000i2−i2−2i22i2i2i2−i2−i2002i2−2i200002-200000000000000000000−i2i200000000
χ5944-4-4-240024-4-4-22-2-2222i2−2i200004-40000000000−i2i22i2−2i2−i2−i2i2i2002i2−2i20000-2200000000000000000000−i2i200000000
χ6044-4-4-240024-4-4-22-2-2222i2−2i20000-440000000000−i2i22i2−2i2−i2−i2i2i200−2i22i200002-200000000000000000000i2−i200000000
χ614-44-4444-44-4-44-4-44-44-40044-4-400000000004-4000000000000000000000000000000000000000000000000
χ624-44-444-444-4-44-4-44-44-400-4-4440000000000-44000000000000000000000000000000000000000000000000
χ634-44-44-24-4422-2-4-4-22-22004-2-420000000023−23-22000000000000000000000023−23000000000000000000000000
χ644-44-44-24-4422-2-4-4-22-22004-2-4200000000−2323-220000000000000000000000−2323000000000000000000000000
χ654-44-44-2-44422-2-4-4-22-2200-424-200000000002-200000000000000000000000000000000−2i32i300000000000000
χ664-44-44-2-44422-2-4-4-22-2200-424-200000000002-2000000000000000000000000000000002i3−2i300000000000000
χ674-44-4-244-4-2-4-4422-22-2200-242-4000000−2i32i300-220000000000000000000−2i32i3000000000000000000000000000
χ684-44-4-244-4-2-4-4422-22-2200-242-40000002i3−2i300-2200000000000000000002i3−2i3000000000000000000000000000
χ694-44-4-24-44-2-4-4422-22-22002-4-2400000000002-20000000000000000000000000000000000023−2300000000000
χ704-44-4-24-44-2-4-4422-22-22002-4-2400000000002-200000000000000000000000000000000000−232300000000000
χ714-44-4-2-24-4-222-2221-11-100-2-222000000−2i32i323−231-100003i−3i3i−3i00000000000i3−i30−33000000000000000000000000
χ724-44-4-2-24-4-222-2221-11-100-2-222000000−2i32i3−23231-10000−3i3i−3i3i00000000000i3−i303−3000000000000000000000000
χ734-44-4-2-24-4-222-2221-11-100-2-2220000002i3−2i323−231-10000−3i3i−3i3i00000000000−i3i30−33000000000000000000000000
χ744-44-4-2-24-4-222-2221-11-100-2-2220000002i3−2i3−23231-100003i−3i3i−3i00000000000−i3i303−3000000000000000000000000
χ754-4-444400-4-44-4-444-4-440000000000000000000000000000000000000000004-40000000000000000000000
χ764-4-444400-4-44-4-444-4-44000000000000000000000000000000000000000000-440000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-4004-444-4422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ7988-8-8-4-4004-444-4422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ808-88-8-4-4-88-444-4442-22-20044-4-40000000000-22000000000000000000000000000000000000000000000000
χ818-8-888-400-84-44-88-444-4000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-48004-88-84-4-444-4000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-42-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000
χ848-8-88-4-40044-444-42-2-220000000000000000000000−323232−320000000000000000000000000000000000000000

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