Finite Group Databasebeta

← Group #11887313

Character table — Group #11887313

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444446666888888888888888812121212121212121212121212121616161616161818181818182424242424242424242424243648487272
order122233446666663666881212121222442466121212122424242424242424222444668888121266612121244888844666121212242424244121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111-1-11-1-111111111-1-1-1-1-1-1111111-1-11-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111-1-11111111111111111-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-111-1-1111-1-1-1-11-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-11-111
χ5111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-11111111111-1-1-1-1-1-11-11-1-111-1-1-111-11-1-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1-1-1-1111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1-111-1-1-1-11-1111-1-11-1-1-1-111-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-111111-1-1-1-1-111-1-1111-1-1-1-11-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-1-11111111-1-111-1-1111-1-1-1-1-11111-1-1-111111-1-111-1-1-1-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1111-1-1111111-1-1-1-1-11-1-111-1111-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-111111-1-1-1-1-11111111-1-1-1-1-111-1-1-111-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-111-1-1-1111-1-11111-1-111111-111-1-1-1-1-11-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-111-1-1-1-1-11-1-1-111-111111-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11-1-111-1-1-1111111-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-200-2002200002200000022000000-20000-20000-20000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000200-200220000-2-2000000-2-200000020000-2000020000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-200000000-200200-2-2000022000000-2-2000000-200002000020000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000200200-2-20000-2-2000000220000002000020000-20000
χ2122222-122-1-1222-1-1-1-1-1222-12-1220022-1-122-1-122-1-1-1-1-1-1022200-1-12200002-1-1-1-1-1000000020-1-100-1-1-10000-100
χ2222222-122-1-1222-1-1-1-1-1222-12-12200-2-211-2-2-1-122-1-1-1-1-1-10-2-2200-1-1220000-2111110000000-201100-1-1-10000100
χ2322222-122-1-1222-1-1-1-1-1222-12-1-2-20022-1-122-1-122-1-1-1-1-1-10-2-2-20011-2-200002-1-1-1-1-10000000-2011001110000100
χ2422222-122-1-1222-1-1-1-1-1222-12-1-2-200-2-211-2-2-1-122-1-1-1-1-1-1022-20011-2-20000-211111000000020-1-1001110000-100
χ2522222-122-1-1222-1-1-1-1-1-2-22-12-122002-2-1-1-2-2-1-1-2-2111111022200-1-1-2-200002-1-11110000000-20-1-100-1110000100
χ2622222-122-1-1222-1-1-1-1-1-2-22-12-12200-221122-1-1-2-21111110-2-2200-1-1-2-20000-211-1-1-10000000201100-1110000-100
χ2722222-122-1-1222-1-1-1-1-1-2-22-12-1-2-2002-2-1-1-2-2-1-1-2-21111110-2-2-200112200002-1-111100000002011001-1-10000-100
χ2822222-122-1-1222-1-1-1-1-1-2-22-12-1-2-200-221122-1-1-2-2111111022-20011220000-211-1-1-10000000-20-1-1001-1-10000100
χ292222-122222-1-1-12-1-1-1-122-12-1200222222-1-1-1-1-1-122-1-1-1-1200022000022-1-1-1-1-12-1-100000020-100-1-1000-1-10-1000
χ302222-122222-1-1-12-1-1-1-122-12-120022-2-2-2-211-1-1-1-122-1-1-1-12000-2-2000022-1-1111-211000000-20-10011000-1-101000
χ312222-122222-1-1-12-1-1-1-122-12-1200-2-22222-1-1-1-1-1-122-1-1-1-1-2000-2-20000-2-211-1-1-12-1-1000000-20100110001101000
χ322222-122222-1-1-12-1-1-1-122-12-1200-2-2-2-2-2-211-1-1-1-122-1-1-1-1-2000220000-2-211111-21100000020100-1-1000110-1000
χ332222-122222-1-1-12-1-1-1-1-2-2-12-1200222-22211-1-111-2-211112000-2-20000-2-2-1-1-1-1-1-21100000020-10011000110-1000
χ342222-122222-1-1-12-1-1-1-1-2-2-12-120022-22-2-2-1-1-1-111-2-211112000220000-2-2-1-11112-1-1000000-20-100-1-10001101000
χ352222-122222-1-1-12-1-1-1-1-2-2-12-1200-2-22-22211-1-111-2-21111-20002200002211-1-1-1-211000000-20100-1-1000-1-101000
χ362222-122222-1-1-12-1-1-1-1-2-2-12-1200-2-2-22-2-2-1-1-1-111-2-21111-2000-2-2000022111112-1-10000002010011000-1-10-1000
χ372-22-2222-2-2-22-2-222-22-20022-2-20000000000-220000000002-202i−2i00000000000000002i2i−2i−2i0002-22i−2i0000000000
χ382-22-2222-2-2-22-2-222-22-20022-2-20000000000-220000000002-20−2i2i0000000000000000−2i−2i2i2i0002-2−2i2i0000000000
χ392-22-2222-2-2-22-2-222-22-20022-2-20000000000-22000000000-2202i−2i0000000000000000−2i−2i2i2i000-222i−2i0000000000
χ402-22-2222-2-2-22-2-222-22-20022-2-20000000000-22000000000-220−2i2i00000000000000002i2i−2i−2i000-22−2i2i0000000000
χ412-2-2222002-2-22-2-222-2-2−i2i200002-22i−2i00000000−i2i2−i2i2−i2−i2i2i20000002-2−i2i22−22i−2i0000002i−2i2−22−200000000−i2i22−200000
χ422-2-2222002-2-22-2-222-2-2−i2i200002-2−2i2i00000000−i2i2−i2i2−i2−i2i2i20000002-2−i2i2−22−2i2i000000−2i2i−22−2200000000−i2i2−2200000
χ432-2-2222002-2-22-2-222-2-2−i2i20000-222i−2i00000000−i2i2−i2i2−i2−i2i2i2000000-22i2−i22−22i−2i000000−2i2i−22−2200000000i2−i22−200000
χ442-2-2222002-2-22-2-222-2-2−i2i20000-22−2i2i00000000−i2i2−i2i2−i2−i2i2i2000000-22i2−i2−22−2i2i0000002i−2i2−22−200000000i2−i2−2200000
χ452-2-2222002-2-22-2-222-2-2i2−i200002-22i−2i00000000i2−i2i2−i2i2i2−i2−i20000002-2i2−i2−222i−2i0000002i−2i−22−2200000000i2−i2−2200000
χ462-2-2222002-2-22-2-222-2-2i2−i200002-2−2i2i00000000i2−i2i2−i2i2i2−i2−i20000002-2i2−i22−2−2i2i000000−2i2i2−22−200000000i2−i22−200000
χ472-2-2222002-2-22-2-222-2-2i2−i20000-222i−2i00000000i2−i2i2−i2i2i2−i2−i2000000-22−i2i2−222i−2i000000−2i2i2−22−200000000−i2i2−2200000
χ482-2-2222002-2-22-2-222-2-2i2−i20000-22−2i2i00000000i2−i2i2−i2i2i2−i2−i2000000-22−i2i22−2−2i2i0000002i−2i−22−2200000000−i2i22−200000
χ4944444-2-4-4-2-2444-2-2-2-2-200-42-4244000000002200000000000-400-2-200000000000000000000000002000000000
χ5044444-2-4-4-2-2444-2-2-2-2-200-42-42-4-4000000002200000000000400220000000000000000000000000-2000000000
χ514444-24-4-444-2-2-24-2-2-2-2002-42-400440000002200000000-400000000000-2-200000000000000200000000000000
χ524444-24-4-444-2-2-24-2-2-2-2002-42-400-4-400000022000000004000000000002200000000000000-200000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-2111100000000000000-211-21100000000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-21111000000000000002-1-12-1-100000000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-100000000000000-2112-1-100000000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-1000000000000002-1-1-21100000000000000000000000
χ5744-4-44400-44-4-44-44-4-44000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ5844-4-44400-44-4-44-44-4-440000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ594-44-444-44-4-44-4-444-44-400-4-44400000000004-4000000000000000000000000000000000000000000000000000
χ604-44-44-24-4224-4-4-2-22-22004-2-4200000000002-20000000004-400000000000000000000000000-22000000000000
χ614-44-44-24-4224-4-4-2-22-22004-2-4200000000002-2000000000-44000000000000000000000000002-2000000000000
χ624-44-44-2-44224-4-4-2-22-2200-424-2000000−2i32i300-2200000000000000000000000−2i32i300000000000000000000000000
χ634-44-44-2-44224-4-4-2-22-2200-424-20000002i3−2i300-22000000000000000000000002i3−2i300000000000000000000000000
χ644-44-4-244-4-4-4-2224-22-2200-242-400000000002-20000000000004i−4i0000000000000000000000000−2i2i0000000000
χ654-44-4-244-4-4-4-2224-22-2200-242-400000000002-2000000000000−4i4i00000000000000000000000002i−2i0000000000
χ664-44-4-24-44-4-4-2224-22-22002-4-240000000023−23-220000000000000000000000000023−2300000000000000000000000
χ674-44-4-24-44-4-4-2224-22-22002-4-2400000000−2323-2200000000000000000000000000−232300000000000000000000000
χ684-44-4-2-2-4422-222-21-11-10022-2-2000000−2i32i323−231-100003i−3i3i−3i000000000000000i3−i30−3300000000000000000000000
χ694-44-4-2-2-4422-222-21-11-10022-2-2000000−2i32i3−23231-10000−3i3i−3i3i000000000000000i3−i303−300000000000000000000000
χ704-44-4-2-2-4422-222-21-11-10022-2-20000002i3−2i323−231-10000−3i3i−3i3i000000000000000−i3i30−3300000000000000000000000
χ714-44-4-2-2-4422-222-21-11-10022-2-20000002i3−2i3−23231-100003i−3i3i−3i000000000000000−i3i303−300000000000000000000000
χ724-4-444-200-22-44-42-2-222−2i22i200004-40000000000−2i22i2i2−i2i2i2−i2−i2000000-22−2i22i2000000000000000000000000i2−i20000000
χ734-4-444-200-22-44-42-2-222−2i22i20000-440000000000−2i22i2i2−i2i2i2−i2−i20000002-22i2−2i2000000000000000000000000−i2i20000000
χ744-4-444-200-22-44-42-2-2222i2−2i200004-400000000002i2−2i2−i2i2−i2−i2i2i2000000-222i2−2i2000000000000000000000000−i2i20000000
χ754-4-444-200-22-44-42-2-2222i2−2i20000-4400000000002i2−2i2−i2i2−i2−i2i2i20000002-2−2i22i2000000000000000000000000i2−i20000000
χ764-4-44-24004-42-22-4-2-222−2i22i20000004i−4i00000000i2−i2−2i22i2i2i2−i2−i2000000000022−22−2i2i0000000000000000000000−2200000
χ774-4-44-24004-42-22-4-2-222−2i22i2000000−4i4i00000000i2−i2−2i22i2i2i2−i2−i20000000000−22222i−2i00000000000000000000002−200000
χ784-4-44-24004-42-22-4-2-2222i2−2i20000004i−4i00000000−i2i22i2−2i2−i2−i2i2i20000000000−2222−2i2i00000000000000000000002−200000
χ794-4-44-24004-42-22-4-2-2222i2−2i2000000−4i4i00000000−i2i22i2−2i2−i2−i2i2i2000000000022−222i−2i0000000000000000000000−2200000
χ808888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000000
χ8188-8-88-4004-4-8-884-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-8-4800-8844-4-8-444-4000000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-4-4004-444-442-2-22000000000000000000000032−32−32320000000000000000000000000000000000000000000
χ8488-8-8-4-4004-444-442-2-220000000000000000000000−323232−320000000000000000000000000000000000000000000
χ858-88-8-4-48-844-444-42-22-200-4-4440000000000-22000000000000000000000000000000000000000000000000000
χ868-8-88-4-400-444-44422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ878-8-88-4-400-444-44422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000

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