Finite Group Databasebeta

← Group #11889105

Character table — Group #11889105

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222222444444444444444888888888888812121212121212121212121212121212121212121212121212121616161616162424242424242436364848727272
order122222334466666634666666612121212121224666612121212121212222444666666888812122424242424242424666121212244661212441212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-111-1-1-1-1-1-111-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1111
χ51111111111111111111111111111111-1-1-1-1111-1-1111111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-11-1-111-1-111-1-11-1-1
χ61111111111111111111111111111111-1-1-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111
χ71111111111111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-1111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1
χ91111-1-111111111111-1-1-1-1-1111111-1-111-111-1-1-1-1-111-1-1111-11-111111111-1-1-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-1-11
χ101111-1-111111111111-1-1-1-1-1111111-1-111-111-1-1-1-1-111-1-1111-11-1111111-1-111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-11-1-1-1111-1
χ111111-1-111111111111-1-1-1-1-1111111-1-111-111-1-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1111-1-1-111-1111-1-1-11-111-1
χ121111-1-111111111111-1-1-1-1-1111111-1-111-111-1-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-11-11111-111-11-1-11
χ131111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-111-11-111111-1-111-1-1111111-1-1-1-1-1-1-1111-1-11-1-11-111-11-11-1
χ141111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-111-11-111111-1-1-1-11111-1-1-1-11111-1-1-1111-11-1-1-11-1-1-11-11-11
χ151111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1111-11-1-1-111-11
χ161111-1-111111111111-1-1-1-1-1111111-1-11-11-1-1-1-1-11111-1-1-1-11-11-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-111111-111-11111-1-11-1
χ1722222222-2-22222222-22222222-2-2-2-2-2-2000022-200-2-2-2-2002-2-220000220000220000000000000000000-2-20000000
χ1822222222-2-22222222-22222222-2-2-2-2-2-2000022-200-2-2-2-200-222-20000-2-20000-2-20000000000000000000220000000
χ192222222-1222-1-1-122-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-10000-1-1000000002-1-12-1-1200-1-1-1-10000000
χ202222222-1222-1-1-122-1222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111000011000000002-1-12-1-1-20011110000000
χ212222222-1222-1-1-122-1222-1-1-1-1-1-1-12222-2-211-1-1-111-1-1-1-122-2-2-2-2-1-1-1-11100001100000000-211-211200-1-1110000000
χ222222222-1222-1-1-122-1222-1-1-1-1-1-1-12222-2-211-1-1-111-1-1-1-1-2-222221111-1-10000-1-100000000-211-211-20011-1-10000000
χ232222222-1-2-22-1-1-122-1-222-1-1-1-1-111-2-2-2-200−i3i3-1-11−i3i31111002-2-22−i3−i3i3i3-1-10000-1-1000000000−i3i30−i3i3000−i3i3110000000
χ242222222-1-2-22-1-1-122-1-222-1-1-1-1-111-2-2-2-200−i3i3-1-11−i3i3111100-222-2i3i3−i3−i311000011000000000−i3i30−i3i3000i3−i3-1-10000000
χ252222222-1-2-22-1-1-122-1-222-1-1-1-1-111-2-2-2-200i3−i3-1-11i3−i31111002-2-22i3i3−i3−i3-1-10000-1-1000000000i3−i30i3−i3000i3−i3110000000
χ262222222-1-2-22-1-1-122-1-222-1-1-1-1-111-2-2-2-200i3−i3-1-11i3−i3111100-222-2−i3−i3i3i311000011000000000i3−i30i3−i3000−i3i3-1-10000000
χ27222222-1222-1222-1-1-12-1-122-1-1-122-1-1-1-12222-1-1222-1-1-1-1000000000000222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1022000000-1-1000
χ28222222-1222-1222-1-1-12-1-122-1-1-122-1-1-1-12222-1-1222-1-1-1-1000000000000-2-2-2-20011111111-1-1-1-1-1-10-2-200000011000
χ29222222-1222-1222-1-1-12-1-122-1-1-122-1-1-1-1-2-2-2-2-1-12-2-2-1-1-1-1000000000000222200-1-1-1-1-1-1-1-11111110-2-200000011000
χ30222222-1222-1222-1-1-12-1-122-1-1-122-1-1-1-1-2-2-2-2-1-12-2-2-1-1-1-1000000000000-2-2-2-20011111111111111022000000-1-1000
χ312222-2-222-2-222222222-2-2-2-2222-2-2-222-20000-2-2200-2-2220022-2-20000220000-2-200000000000000000002-20000000
χ322222-2-222-2-222222222-2-2-2-2222-2-2-222-20000-2-2200-2-22200-2-2220000-2-20000220000000000000000000-220000000
χ332222-2-22-1222-1-1-122-1-2-2-211-1-1-1-1-12-2-222-2-1-111111-1-111222-22-2-1-1-1-1-1-1000011000000002-1-1-211-200111-10000000
χ342222-2-22-1222-1-1-122-1-2-2-211-1-1-1-1-12-2-222-2-1-111111-1-111-2-2-22-221111110000-1-1000000002-1-1-211200-1-1-110000000
χ352222-2-22-1222-1-1-122-1-2-2-211-1-1-1-1-12-2-22-2211111-1-1-1-11122-22-22-1-1-1-1110000-1-100000000-2112-1-1-20011-110000000
χ362222-2-22-1222-1-1-122-1-2-2-211-1-1-1-1-12-2-22-2211111-1-1-1-111-2-22-22-21111-1-100001100000000-2112-1-1200-1-11-10000000
χ372222-2-22-1-2-22-1-1-122-12-2-211-1-1-111-222-200−i3i311-1i3−i311-1-10022-2-2−i3−i3i3i3-1-1000011000000000−i3i30i3−i3000i3−i3-110000000
χ382222-2-22-1-2-22-1-1-122-12-2-211-1-1-111-222-200−i3i311-1i3−i311-1-100-2-222i3i3−i3−i3110000-1-1000000000−i3i30i3−i3000−i3i31-10000000
χ392222-2-22-1-2-22-1-1-122-12-2-211-1-1-111-222-200i3−i311-1−i3i311-1-10022-2-2i3i3−i3−i3-1-1000011000000000i3−i30−i3i3000−i3i3-110000000
χ402222-2-22-1-2-22-1-1-122-12-2-211-1-1-111-222-200i3−i311-1−i3i311-1-100-2-222−i3−i3i3i3110000-1-1000000000i3−i30−i3i3000i3−i31-10000000
χ412222-2-2-1222-1222-1-1-1-211-2-2-1-1-122-111-12-22211-2-2-2-1-11100000000000022-2-200-1-1-1-11111-1-1-111102-2000000-11000
χ422222-2-2-1222-1222-1-1-1-211-2-2-1-1-122-111-12-22211-2-2-2-1-111000000000000-2-222001111-1-1-1-1-1-1-11110-220000001-1000
χ432222-2-2-1222-1222-1-1-1-211-2-2-1-1-122-111-1-22-2-211-222-1-11100000000000022-2-200-1-1-1-11111111-1-1-10-220000001-1000
χ442222-2-2-1222-1222-1-1-1-211-2-2-1-1-122-111-1-22-2-211-222-1-111000000000000-2-222001111-1-1-1-1111-1-1-102-2000000-11000
χ452-22-200222-2-2-22-2-22200000-22-22-2200-20000000002-2002-200002-22-2002i−2i00002i2i−2i−2i000000000000000002i−2i00000
χ462-22-200222-2-2-22-2-22200000-22-22-2200-20000000002-2002-200002-22-200−2i2i0000−2i−2i2i2i00000000000000000−2i2i00000
χ472-22-200222-2-2-22-2-22200000-22-22-2200-20000000002-200-220000-22-22002i−2i00002i2i−2i−2i00000000000000000−2i2i00000
χ482-22-200222-2-2-22-2-22200000-22-22-2200-20000000002-200-220000-22-2200−2i2i0000−2i−2i2i2i000000000000000002i−2i00000
χ49444444-24-4-4-2444-2-2-2-4-2-244-2-2-2-4-422220000-2-2-40022220000000000000000000000000000000000000000000000
χ50444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-244-2-211-2-2-2111100000000000000000000000000-211-21100000000000000
χ51444444-2-244-2-2-2-2-2-214-2-2-2-2111-2-2-2-2-2-2-4-42211-2221111000000000000000000000000002-1-12-1-100000000000000
χ52444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-211122222200−2i32i3112−2i32i3-1-1-1-1000000000000000000000000000i3−i30i3−i300000000000000
χ53444444-2-2-4-4-2-2-2-2-2-21-4-2-2-2-2111222222002i3−2i31122i3−2i3-1-1-1-1000000000000000000000000000−i3i30−i3i300000000000000
χ544444-4-4-24-4-4-2444-2-2-2422-4-4-2-2-2-4-42-2-2200002240022-2-20000000000000000000000000000000000000000000000
χ554444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-222-24-4-2-2-1-122211-1-100000000000000000000000000-2112-1-100000000000000
χ564444-4-4-2-244-2-2-2-2-2-21-42222111-2-2-222-2-4422-1-12-2-211-1-1000000000000000000000000002-1-1-21100000000000000
χ574444-4-4-2-2-4-4-2-2-2-2-2-2142222111222-2-2200−2i32i3-1-1-22i3−2i3-1-111000000000000000000000000000i3−i30−i3i300000000000000
χ584444-4-4-2-2-4-4-2-2-2-2-2-2142222111222-2-22002i3−2i3-1-1-2−2i32i3-1-111000000000000000000000000000−i3i30i3−i300000000000000
χ5944-4-4004400-44-4-44-44000004-4-4000000000000000000000000000000000−2i22i2000000−2i2−2i22i22i200000000000000000000
χ6044-4-4004400-44-4-44-44000004-4-40000000000000000000000000000000002i2−2i20000002i22i2−2i2−2i200000000000000000000
χ6144-4-400-240024-4-4-22-200000-22200023−2300000000000023−2300000000000000−2i22i200i6−i6i6−i6i2i2−i2−i200000000000000000000
χ6244-4-400-240024-4-4-22-200000-22200023−2300000000000023−23000000000000002i2−2i200−i6i6−i6i6−i2−i2i2i200000000000000000000
χ6344-4-400-240024-4-4-22-200000-222000−2323000000000000−232300000000000000−2i22i200−i6i6−i6i6i2i2−i2−i200000000000000000000
χ6444-4-400-240024-4-4-22-200000-222000−2323000000000000−2323000000000000002i2−2i200i6−i6i6−i6−i2−i2i2i200000000000000000000
χ654-44-40044-44-4-44-4-44400000-44-4-44-4004000000000-44000000000000000000000000000000000000000000000000
χ664-44-4004-24-4-42-22-44-2000002-22-22400-4000000000-22004-40000-22-22000000000000000000000000000000000000
χ674-44-4004-24-4-42-22-44-2000002-22-22400-4000000000-2200-4400002-22-2000000000000000000000000000000000000
χ684-44-4004-2-44-42-22-44-2000002-222-2-40040000000002-200000000−2i32i32i3−2i3000000000000000000000000000000000000
χ694-44-4004-2-44-42-22-44-2000002-222-2-40040000000002-2000000002i3−2i3−2i32i3000000000000000000000000000000000000
χ704-44-400-244-42-44-42-2-2000002-224-4-2002000000000-22000000000000004i−4i0000−2i−2i2i2i000000000000000000000000
χ714-44-400-244-42-44-42-2-2000002-224-4-2002000000000-2200000000000000−4i4i00002i2i−2i−2i000000000000000000000000
χ724-44-400-24-442-44-42-2-2000002-22-44200-20000000002-2000000000000000000000000−2i32i3−2i32i300000000000000000000
χ734-44-400-24-442-44-42-2-2000002-22-44200-20000000002-20000000000000000000000002i3−2i32i3−2i300000000000000000000
χ744-4-444-444004-4-44-4-4404-44-4-4-4400000000004-400000000000000000000000000000000000000000000000000000
χ754-4-444-44-200422-2-4-4-204-4-2222-20000000000-2200000000000000000−2i32i30000−2i32i30000000000000000000000000000
χ764-4-444-44-200422-2-4-4-204-4-2222-20000000000-22000000000000000002i3−2i300002i3−2i30000000000000000000000000000
χ774-4-444-4-2400-2-4-4422-20-224-422-20000000000-2200000000000000000000000006−6−666−6−6600000000000000000000
χ784-4-444-4-2400-2-4-4422-20-224-422-20000000000-220000000000000000000000000−666−6−666−600000000000000000000
χ794-4-44-4444004-4-44-4-440-44-44-4-440000000000-4400000000000000000000000000000000000000000000000000000
χ804-4-44-444-200422-2-4-4-20-442-222-200000000002-200000000000000000−2i32i300002i3−2i30000000000000000000000000000
χ814-4-44-444-200422-2-4-4-20-442-222-200000000002-2000000000000000002i3−2i30000−2i32i30000000000000000000000000000
χ824-4-44-44-2400-2-4-4422-202-2-4422-200000000002-200000000000000000000000006−6−66−666−600000000000000000000
χ834-4-44-44-2400-2-4-4422-202-2-4422-200000000002-20000000000000000000000000−666−66−6−6600000000000000000000
χ8488-8-8008-400-8-4448-8-400000-44400000000000000000000000000000000000000000000000000000000000000000
χ8588-8-800-4-4004-444-442000002-2-200043−43000000000000−23230000000000000000000000000000000000000000000000
χ8688-8-800-4-4004-444-442000002-2-2000−434300000000000023−230000000000000000000000000000000000000000000000
χ878-88-800-4-48-844-444-4200000-22-2-44-40040000000002-2000000000000000000000000000000000000000000000000
χ888-88-800-4-4-8844-444-4200000-22-24-4400-4000000000-22000000000000000000000000000000000000000000000000
χ898-8-888-8-4-400-444-44420-44-44-2-2200000000002-200000000000000000000000000000000000000000000000000000
χ908-8-88-88-4-400-444-444204-44-4-2-220000000000-2200000000000000000000000000000000000000000000000000000

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