Finite Group Databasebeta

← Group #11884484

Character table — Group #11884484

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444444668888888888888881212121212121212121212121212121616161616162424242424242424242424243636363648487272
order122233446666662346666612121212444466612121212121212121212222446666881212121212121212121222466681224242424448861228
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111111-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-11111-1-11-1-111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-11
χ41111111111111111111111111111-1-11111-1-11-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-11-1-1-1-111-1-1111-1
χ511111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1-1-11-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-11111-1-11-1-11111-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1111-1111111-1-1-1-11-1
χ811111111111111111111111111-1-1-1-11111-1-11-1-11111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-11111-11
χ911111111111111-11-1-1-11111111111-1-1-1-1-111-1-1-111-1-11-1-1-1-1-1-1-1-111-1-111-1111-1-11-11111-1-111-1-1-1-111-111-1
χ1011111111111111-11-1-1-11111111111-1-1-1-1-111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-111-11111-1-1-11111-1-11-1-11
χ1111111111111111-11-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1111-1-1111111-1-1111-1-1-111-11-11-1-1-1-111-1-111111-1-1-1
χ1211111111111111-11-1-1-1111111111-11-1-1-1-1-1-1-11111-1-1111-1-11111-1-1-1-1111-1-1-111-1-111-1-11-1-1-111-1-1-1-1-1111
χ1311111111111111-11-1-1-11111111-1-11-1-1-1-1-111-1-1-111-1-1-1111111111111-1-1-1111-1-1-1-11-1-1-1-1111-1-111-1-1-11-11
χ1411111111111111-11-1-1-11111111-1-11-1-1-1-1-111-1-1-111-1-1-111111111-1-111-1-1-1111-1-1-11-1-1-1-111-1-111-1-1111-11-1
χ1511111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-11111-1-11-1-1-11111-1-111-1111-1-1-1-1-1-11-111
χ1611111111111111-11-1-1-11111111-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-1111-11-11111-1-1111111-11-1-1
χ17222222-2-222222222-222222-2-2-2-22200222-200-200-2-2-2-2-200-220000002222000000000-2000-2000000000000
χ18222222-2-222222222-222222-2-2-2-2-2-200222-200-200-2-2-2-22002-2000000-2-2-2-200000000020002000000000000
χ19222222-2-2222222-222-2-2222-2-2-2-22200-2-2-2200200-2-222-2002-2000000-2-222000000000-20002000000000000
χ20222222-2-2222222-222-2-2222-2-2-2-2-2-200-2-2-2200200-2-222200-2200000022-2-20000000002000-2000000000000
χ2122222-1222-12-1-122-12-1-1-1-1-12-1-1222222-1-12-1-1-1-1-1-1-1-1-122222-1-1-1-100-1-1-1-122-1-1-1-1200-1-1-10-1000000000000
χ2222222-1222-12-1-122-12-1-1-1-1-12-1-1222-2-22-1-1211-111-1-1-1-12-2-222111100-1-1-1-1-2-21111-200-1110-1000000000000
χ2322222-1222-12-1-122-12-1-1-1-1-12-1-12-2-2222-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2-2111100111122-1-1-1-1-20011101000000000000
χ2422222-1222-12-1-122-12-1-1-1-1-12-1-12-2-2-2-22-1-1211-111-1-1-1-1-222-2-2-1-1-1-1001111-2-211112001-1-101000000000000
χ2522222-1222-12-1-12-2-1-211-1-1-12-1-12222-2-211-2-1-1111-1-1112-2-2-2-211110011-1-1-22-1-111200-1-1-101000000000000
χ2622222-1222-12-1-12-2-1-211-1-1-12-1-1222-22-211-2111-1-1-1-111222-2-2-1-1-1-10011-1-12-211-1-1-200-11101000000000000
χ2722222-1222-12-1-12-2-1-211-1-1-12-1-12-2-22-2-211-2-1-1111-1-111-22222-1-1-1-100-1-111-22-1-111-2001110-1000000000000
χ2822222-1222-12-1-12-2-1-211-1-1-12-1-12-2-2-22-211-2111-1-1-1-111-2-2-222111100-1-1112-211-1-12001-1-10-1000000000000
χ2922222-1-2-22-12-1-122-1-2-1-1-1-1-1-211-222002-1-1-2−i3i31−i3i31111-200-22−i3−i3i3i300-1-1-1-100−i3i3−i3i30001−i3i301000000000000
χ3022222-1-2-22-12-1-122-1-2-1-1-1-1-1-211-222002-1-1-2i3−i31i3−i31111-200-22i3i3−i3−i300-1-1-1-100i3−i3i3−i30001i3−i301000000000000
χ3122222-1-2-22-12-1-122-1-2-1-1-1-1-1-211-2-2-2002-1-1-2−i3i31−i3i311112002-2i3i3−i3−i300111100−i3i3−i3i3000-1i3−i30-1000000000000
χ3222222-1-2-22-12-1-122-1-2-1-1-1-1-1-211-2-2-2002-1-1-2i3−i31i3−i311112002-2−i3−i3i3i300111100i3−i3i3−i3000-1−i3i30-1000000000000
χ3322222-1-2-22-12-1-12-2-1211-1-1-1-211-22200-2112−i3i3-1i3−i311-1-1-2002-2i3i3−i3−i30011-1-100−i3i3i3−i30001−i3i30-1000000000000
χ3422222-1-2-22-12-1-12-2-1211-1-1-1-211-22200-2112i3−i3-1−i3i311-1-1-2002-2−i3−i3i3i30011-1-100i3−i3−i3i30001i3−i30-1000000000000
χ3522222-1-2-22-12-1-12-2-1211-1-1-1-211-2-2-200-2112−i3i3-1i3−i311-1-1200-22−i3−i3i3i300-1-11100−i3i3i3−i3000-1i3−i301000000000000
χ3622222-1-2-22-12-1-12-2-1211-1-1-1-211-2-2-200-2112i3−i3-1−i3i311-1-1200-22i3i3−i3−i300-1-11100i3−i3−i3i3000-1−i3i301000000000000
χ372222-1222-12-122-12-1222-1-1-1-122-10022-1-1-1-122222-1-1-1-1000000000220000-1-1-1-1-1-102200020-1-1-1-10000-1-100
χ382222-1222-12-122-12-1222-1-1-1-122-10022-1-1-1-122222-1-1-1-1000000000-2-20000-1-1-1-1-1-10-2-2000-20111100001100
χ392222-1222-12-122-12-1222-1-1-1-122-100-2-2-1-1-1-1-2-22-2-2-1-1-1-10000000002200001111110-2-200020-1-1-1-100001100
χ402222-1222-12-122-12-1222-1-1-1-122-100-2-2-1-1-1-1-2-22-2-2-1-1-1-1000000000-2-20000111111022000-2011110000-1-100
χ412222-1222-12-122-1-2-1-2-2-2-1-1-1-122-1002-2111122-2-2-2-1-1110000000002200001-1-1-1110-22000-20-1-11100001-100
χ422222-1222-12-122-1-2-1-2-2-2-1-1-1-122-1002-2111122-2-2-2-1-111000000000-2-200001-1-1-11102-20002011-1-10000-1100
χ432222-1222-12-122-1-2-1-2-2-2-1-1-1-122-100-221111-2-2-222-1-111000000000220000-1111-1-102-2000-20-1-1110000-1100
χ442222-1222-12-122-1-2-1-2-2-2-1-1-1-122-100-221111-2-2-222-1-111000000000-2-20000-1111-1-10-220002011-1-100001-100
χ452-2-2222-22-2-22-22-202000-2-22-22-2200000000000002-20002-2002-22-22-20000000000000000002-2002-2000000
χ462-2-2222-22-2-22-22-202000-2-22-22-2200000000000002-20002-2002-22-2-22000000000000000000-2200-22000000
χ472-2-2222-22-2-22-22-202000-2-22-22-2200000000000002-2000-2200-22-222-20000000000000000002-200-22000000
χ482-2-2222-22-2-22-22-202000-2-22-22-2200000000000002-2000-2200-22-22-22000000000000000000-22002-2000000
χ494444-24-4-4-24-244-24-2-444-2-2-22-4-420000-2-2-2200-400222200000000000000000000000000000000000000000
χ504444-24-4-4-24-244-2-4-24-4-4-2-2-22-4-420000222-20040022-2-200000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-20044-211-2-2-2-2-2-21111000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-200-4-4-211-222-222111100000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-2-2-2004-42-1-12-2-222211-1-10000000000000002-211-1-100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-2-2-200-442-1-12222-2-211-1-1000000000000000-22-1-11100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-2112−2i32i32−2i32i3-1-1-1-100000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-211122220000-21122i3−2i322i3−2i3-1-1-1-100000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-41422111222200002-1-1-2−2i32i3-22i3−2i3-1-11100000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-41422111222200002-1-1-22i3−2i3-2−2i32i3-1-11100000000000000000−i3i3i3−i300000000000000000000
χ5944-4-4440044-4-4-4-4040004-4-400004i−4i00000000000000000000000000004i−4i00000000000000000000000000
χ6044-4-4440044-4-4-4-4040004-4-40000−4i4i0000000000000000000000000000−4i4i00000000000000000000000000
χ6144-4-44-2004-2-422-40-20−2i32i3-22200004i−4i000−2i32i300000000000000000000023−23−2i2i00000000000000000000000000
χ6244-4-44-2004-2-422-40-20−2i32i3-2220000−4i4i000−2i32i3000000000000000000000−23232i−2i00000000000000000000000000
χ6344-4-44-2004-2-422-40-202i3−2i3-22200004i−4i0002i3−2i3000000000000000000000−2323−2i2i00000000000000000000000000
χ6444-4-44-2004-2-422-40-202i3−2i3-2220000−4i4i0002i3−2i300000000000000000000023−232i−2i00000000000000000000000000
χ654-44-44400-4-4-44-4404000-44-40000000000000000000000000000000000000000000000000000000022−220000
χ664-44-44400-4-4-44-4404000-44-400000000000000000000000000000000000000000000000000000000−22220000
χ674-4-44444-4-4-44-44-404000-4-444-44-40000000000000-440000000000000000000000000000000000000000000
χ684-4-444-24-4-4242-2-40-200022-242-2-400000000000002-20000000−2i32i32i3−2i300000000000000000000000000000000
χ694-4-444-24-4-4242-2-40-200022-242-2-400000000000002-200000002i3−2i3−2i32i300000000000000000000000000000000
χ704-4-444-2-44-4242-2-40-200022-2-4-2240000000000000-220004-400-22-2200000000000000000000000000000000
χ714-4-444-2-44-4242-2-40-200022-2-4-2240000000000000-22000-44002-22-200000000000000000000000000000000
χ724-4-44-244-42-4-2-4420-200022-2-2-44200000000000002-200000000000000000000000000000000023−2300000000
χ734-4-44-244-42-4-2-4420-200022-2-2-44200000000000002-2000000000000000000000000000000000−232300000000
χ744-4-44-24-442-4-2-4420-200022-224-4-20000000000000-22000000000004-4000000000000000000-220000000000
χ754-4-44-24-442-4-2-4420-200022-224-4-20000000000000-2200000000000-440000000000000000002-20000000000
χ7688-8-8-4800-484-8-840-4000-44400000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4-44444020−4i34i32-2-20000000002i3−2i3000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-4-444440204i3−4i32-2-2000000000−2i32i3000000000000000000000000000000000000000000000000000
χ798-88-88-400-84-8-4480-40004-4400000000000000000000000000000000000000000000000000000000000000
χ808-88-8-48004-848-8-40-40004-4400000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400444-44-402000-22-200000000000000000006i−6i00000000000000000000000000000000000000000
χ828-88-8-4-400444-44-402000-22-20000000000000000000−6i6i00000000000000000000000000000000000000000
χ838-8-88-4-48-844-44-4402000-2-22-44-440000000000000-220000000000000000000000000000000000000000000
χ848-8-88-4-4-8844-44-4402000-2-224-44-400000000000002-20000000000000000000000000000000000000000000

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