Finite Group Databasebeta

← Group #11883994

Character table — Group #11883994

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222222244444444444444668888888888888812121212121212121212121212121212121616161616162424242424242424242424242424243636727272
order122233446666662346666612121212121222446661212121212121212122244444668812121212121212121212121222666666812122424242488248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-11111111-1-11111111111111-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-11111-1-1-1-111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-111-1-1-1-1-1-111-1
χ4111111111111111111111111111111-1-11111-1-1-1-11111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11
χ51111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-111111-1-11111-1-1-1-1-1
χ61111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-11
χ81111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-11-1-11111-1-111-1
χ911111111111111-11-1-1-111111-1-111111-1-1-1-1-1-1-11111-1-111-1111-11111-1-11111-11-1-111-1-1-1-111-1-1-1-1111-1-1111-1-1
χ1011111111111111-11-1-1-111111-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1111-111-1-1-1-11111-11-1-111-11-1-1-1-1111-11-1-111-1-1-111
χ1111111111111111-11-1-1-111111-1-11111-11-1-1-1-111-1-111-1-111-11-1-1-111-1-1-1-1-1-1-1-11-111-1-11-11111-1-11-11-1-111-1-11-11
χ1211111111111111-11-1-1-111111-1-11111-11-1-1-1-111-1-111-1-1-1-1-11-1-1-11111-1-1-1-1-1-11-111-1-11111-1-111-1-1111-1-111-11-1
χ1311111111111111-11-1-1-111111-1-111-1-11-1-1-1-1-1-1-11111-1-1111-1-1-11-1-11111-1-1-1-1-11-1-1111-11111-1-1-11-111-1-1-1-1-111
χ1411111111111111-11-1-1-111111-1-111-1-11-1-1-1-1-1-1-11111-1-1-1-11-1-1-11-1-1-1-111-1-1-1-1-11-1-1111111-1-11111-1-1-111111-1-1
χ1511111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-111-1-111-1-1111-1111-1-1-1-11111111-111-1-1-1-1-1-111-1-111-1-1-11111-11-1
χ1611111111111111-11-1-1-111111-1-111-1-1-11-1-1-1-111-1-111-1-1-1-11-1111-1-1111111111-111-1-1-11-1-1-1-111-11-111-1-1-1-11-11
χ17222222-2-222222222-222222-2-2-2-2-2-22200222-20000-2-2-2-200-2-20022200-2-200000000000000000002-2000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-200222-20000-2-2-2-2002200-2-2-200220000000000000000000-22000000000
χ19222222-2-2222222-222-2-2222-2-222-2-22200-2-2-220000-2-222002-200-22200220000000000000000000-2-2000000000
χ20222222-2-2222222-222-2-2222-2-222-2-2-2-200-2-2-220000-2-22200-22002-2-200-2-2000000000000000000022000000000
χ2122222-122-1-12-1222-12-1-1-1-1-12222-1-100222-1-1-12222-1-1-1-122000000022000000-1-1-1-1-1-10200-1-1-1-1200-1-1-1-100000
χ2222222-122-1-12-1222-12-1-1-1-1-12222-1-100222-1-1-12222-1-1-1-1-2-20000000-2-2000000-1-1-1-1-1-10-2001111-200111100000
χ2322222-122-1-12-1222-12-1-1-1-1-12222-1-100-2-22-1-1-1-2-2-2-2-1-1-1-1220000000-2-20000001111110200-1-1-1-1-200111100000
χ2422222-122-1-12-1222-12-1-1-1-1-12222-1-100-2-22-1-1-1-2-2-2-2-1-1-1-1-2-20000000220000001111110-2001111200-1-1-1-100000
χ2522222-122-1-12-122-2-1-211-1-1-122-2-2-1-1002-2-2111-2-222-1-111220000000220000001-111-1-10-200-1-111-200-1-11100000
χ2622222-122-1-12-122-2-1-211-1-1-122-2-2-1-1002-2-2111-2-222-1-111-2-20000000-2-20000001-111-1-1020011-1-120011-1-100000
χ2722222-122-1-12-122-2-1-211-1-1-122-2-2-1-100-22-211122-2-2-1-111220000000-2-2000000-11-1-1110-200-1-11120011-1-100000
χ2822222-122-1-12-122-2-1-211-1-1-122-2-2-1-100-22-211122-2-2-1-111-2-2000000022000000-11-1-111020011-1-1-200-1-11100000
χ292222-122222-12-1-12-1222-1-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-10022222-1-100-1-1-1-1-1-122-1-1-1-120-1-100000-1-1000000000
χ302222-122222-12-1-12-1222-1-1-1-1-1-1-12222-2-2-1-1-121111-1-1-1-10022-2-22-1-100-1-11111-2-21111-201100000-1-1000000000
χ312222-122222-12-1-12-1222-1-1-1-1-1-1-122-2-222-1-1-12-1-1-1-1-1-1-1-100-2-2-2-2-2110011111122-1-1-1-1-20110000011000000000
χ322222-122222-12-1-12-1222-1-1-1-1-1-1-122-2-2-2-2-1-1-121111-1-1-1-100-2-222-2110011-1-1-1-1-2-2111120-1-10000011000000000
χ332222-122222-12-1-1-2-1-2-2-2-1-1-1-1-11122222-2111-211-1-1-1-11100-2222-2-1-10011-1-1-1-1-2211-1-1-2011000001-1000000000
χ342222-122222-12-1-1-2-1-2-2-2-1-1-1-1-1112222-22111-2-1-111-1-11100-22-2-2-2-1-1001111112-2-1-11120-1-1000001-1000000000
χ352222-122222-12-1-1-2-1-2-2-2-1-1-1-1-11122-2-22-2111-211-1-1-1-111002-2-2-221100-1-11111-2211-1-120-1-100000-11000000000
χ362222-122222-12-1-1-2-1-2-2-2-1-1-1-1-11122-2-2-22111-2-1-111-1-111002-22221100-1-1-1-1-1-12-2-1-111-201100000-11000000000
χ372222-12-2-222-12-1-12-1-222-1-1-11111-2-22200-1-1-1-2−i3i3−i3i3111100-2-2002-1-10011−i3−i3i3i300−i3i3−i3i300−i3i300000-11000000000
χ382222-12-2-222-12-1-12-1-222-1-1-11111-2-22200-1-1-1-2i3−i3i3−i3111100-2-2002-1-10011i3i3−i3−i300i3−i3i3−i300i3−i300000-11000000000
χ392222-12-2-222-12-1-12-1-222-1-1-11111-2-2-2-200-1-1-1-2−i3i3−i3i31111002200-21100-1-1i3i3−i3−i300−i3i3−i3i300i3−i3000001-1000000000
χ402222-12-2-222-12-1-12-1-222-1-1-11111-2-2-2-200-1-1-1-2i3−i3i3−i31111002200-21100-1-1−i3−i3i3i300i3−i3i3−i300−i3i3000001-1000000000
χ412222-12-2-222-12-1-1-2-12-2-2-1-1-111-1-1-2-222001112−i3i3i3−i311-1-1002-200-2-1-100-1-1i3i3−i3−i300−i3i3i3−i300−i3i30000011000000000
χ422222-12-2-222-12-1-1-2-12-2-2-1-1-111-1-1-2-222001112i3−i3−i3i311-1-1002-200-2-1-100-1-1−i3−i3i3i300i3−i3−i3i300i3−i30000011000000000
χ432222-12-2-222-12-1-1-2-12-2-2-1-1-111-1-1-2-2-2-2001112−i3i3i3−i311-1-100-22002110011−i3−i3i3i300−i3i3i3−i300i3−i300000-1-1000000000
χ442222-12-2-222-12-1-1-2-12-2-2-1-1-111-1-1-2-2-2-2001112i3−i3−i3i311-1-100-22002110011i3i3−i3−i300i3−i3−i3i300−i3i300000-1-1000000000
χ452-22-222-22-2-2-22-2202000-2-222-2002-20000000000002-2002-2002-200000002-22-200000000002-20000000002-2000
χ462-22-222-22-2-2-22-2202000-2-222-2002-20000000000002-2002-200-220000000-22-2200000000002-2000000000-22000
χ472-22-222-22-2-2-22-2202000-2-222-2002-20000000000002-200-22002-200000002-22-20000000000-22000000000-22000
χ482-22-222-22-2-2-22-2202000-2-222-2002-20000000000002-200-2200-220000000-22-220000000000-220000000002-2000
χ4944444-2-4-4-2-24-2444-2-4-2-2-2-2-2-4-4-4-42200004-2-22000022220000000000000000000000000000000000000000000
χ5044444-2-4-4-2-24-244-4-2422-2-2-2-4-444220000-422-2000022-2-20000000000000000000000000000000000000000000
χ514444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20044-211-2-2-2-2-2111100000000000000000-2-2111100000000000000000000
χ524444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200-4-4-211-2222211110000000000000000022-1-1-1-100000000000000000000
χ534444-2-244-2-2-2-2-2-2-41-422111-2-222-2-2004-42-1-1222-2-211-1-1000000000000000002-2-1-11100000000000000000000
χ544444-2-244-2-2-2-2-2-2-41-422111-2-222-2-200-442-1-12-2-22211-1-100000000000000000-2211-1-100000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-2112−2i32i3−2i32i3-1-1-1-10000000000000000000i3−i3i3−i300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000-21122i3−2i32i3−2i3-1-1-1-10000000000000000000−i3i3−i3i300000000000000000000
χ574444-2-2-4-4-2-2-2-2-2-2-4142211122-2-22200002-1-1-2−2i32i32i3−2i3-1-1110000000000000000000i3−i3−i3i300000000000000000000
χ584444-2-2-4-4-2-2-2-2-2-2-4142211122-2-22200002-1-1-22i3−2i3−2i32i3-1-1110000000000000000000−i3i3i3−i300000000000000000000
χ5944-4-444004-44-4-4-4040004-4-40000000000000000000000000000000−2i22i200000000000000000000000−2i22i20000000
χ6044-4-444004-44-4-4-4040004-4-400000000000000000000000000000002i2−2i2000000000000000000000002i2−2i20000000
χ6144-4-44-200-2242-4-40-20−2i32i3-22200000000000−2i32i3000000000000000000−2i22i200000000000000000000000i2−i26−600000
χ6244-4-44-200-2242-4-40-20−2i32i3-22200000000000−2i32i30000000000000000002i2−2i200000000000000000000000−i2i2−6600000
χ6344-4-44-200-2242-4-40-202i3−2i3-222000000000002i3−2i3000000000000000000−2i22i200000000000000000000000i2−i2−6600000
χ6444-4-44-200-2242-4-40-202i3−2i3-222000000000002i3−2i30000000000000000002i2−2i200000000000000000000000−i2i26−600000
χ654-44-4444-4-4-4-44-4404000-4-44-4400-44000000000000-44000000000000000000000000000000000000000000000
χ664-44-44-24-422-4-2-440-200022-2-44002-20000000000002-20000000000000000000000000000000−2i32i3000000000000
χ674-44-44-24-422-4-2-440-200022-2-44002-20000000000002-200000000000000000000000000000002i3−2i3000000000000
χ684-44-44-2-4422-4-2-440-200022-24-400-22000000000000-22004-40000000000000000000000000-2200000000000000
χ694-44-44-2-4422-4-2-440-200022-24-400-22000000000000-2200-4400000000000000000000000002-200000000000000
χ704-44-4-244-4-4-4242-20-200022-22-200-440000000000002-2000000000000000−2i32i32i3−2i300000000000000000000000000
χ714-44-4-244-4-4-4242-20-200022-22-200-440000000000002-20000000000000002i3−2i3−2i32i300000000000000000000000000
χ724-44-4-24-44-4-4242-20-200022-2-22004-4000000000000-220000004-40000000-22-2200000000000000000000000000
χ734-44-4-24-44-4-4242-20-200022-2-22004-4000000000000-22000000-4400000002-22-200000000000000000000000000
χ744-4-444400-44-4-44-404000-44-40000004-40000000000000000000004-40000000000000000000000000000000000
χ754-4-444400-44-4-44-404000-44-4000000-44000000000000000000000-440000000000000000000000000000000000
χ764-4-44-2400-442-4-220-20002-220023−23004-400000000000023−230000000-220023−23000000000000000000000000000000
χ774-4-44-2400-442-4-220-20002-220023−2300-4400000000000023−2300000002-200−2323000000000000000000000000000000
χ784-4-44-2400-442-4-220-20002-2200−2323004-4000000000000−23230000000-2200−2323000000000000000000000000000000
χ794-4-44-2400-442-4-220-20002-2200−232300-44000000000000−232300000002-20023−23000000000000000000000000000000
χ8088-8-8-48008-8-4-8440-4000-44400000000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-44-4444020−4i34i32-2-2000000000002i3−2i30000000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-44-44440204i3−4i32-2-200000000000−2i32i30000000000000000000000000000000000000000000000000000
χ838-88-8-4-48-8444-44-402000-2-224-4004-4000000000000-22000000000000000000000000000000000000000000000
χ848-88-8-4-4-88444-44-402000-2-22-4400-440000000000002-2000000000000000000000000000000000000000000000
χ858-8-888-4004-4-848-80-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-444-4402000-22-20043−430000000000000000−23230000000000000000000000000000000000000000000
χ878-8-88-4-4004-444-4402000-22-200−4343000000000000000023−230000000000000000000000000000000000000000000

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