Finite Group Databasebeta

← Group #11867790

Character table — Group #11867790

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444666666668888888888888812121212121212121212121212121212161616161616242424242424242424243636363648487272
order122233446666662346666612121212121222448888246666612121212121212246688121224242424242424246661212124444612121212128888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11-1-111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1111111-111-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-11-1-111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-11111-1-11-1-111-1-111111-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111111-1-1
χ911111111111111-11-1-1-11111-1-1111111111111-1-111-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1111-1-1-11-11-1-1-1-1-11111-1-11-11-1
χ1011111111111111-11-1-1-11111-1-111111111111-11-1-1-1-1-111-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1111-11-11-111-1-1-111-1-1-11-11
χ1111111111111111-11-1-1-11111-1-11111111-1-1-1-11-1-111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-111-1-1-1-111-1-111-11-11
χ1211111111111111-11-1-1-11111-1-11111111-1-1-1-1-11-1-1-1-1-111-111-1-1-1-1111111-1-1-1-11111-1-1-111111-1-1-111-1-1-1-1-1111-11-1
χ1311111111111111-11-1-1-11111-1-1111-1-1-1-111111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-1-1111-1-11
χ1411111111111111-11-1-1-11111-1-1111-1-1-1-11111-11-1-1-1-1-111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1111-1-1111-1-111-111-1
χ1511111111111111-11-1-1-11111-1-1111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111111-1-1-1-11-111111-1-111-1-1-111-1
χ1611111111111111-11-1-1-11111-1-1111-1-1-1-1-1-1-1-1-11-1-1-1-1-111-111-1-111-1-111-1-1-1-1-1-11111-1-1-11111-11-11-1-111111-1-11-1-11
χ17222222-2-222222222-222222-2-2-2-2-2-222-2-20000002002200-2-2-2-2-2-222200-2-2000000000000000000-20020000000000
χ18222222-2-222222222-222222-2-2-2-2-2-2-2-2220000002002200-2-2-2-2-22-2-2-20022000000000000000000200-20000000000
χ19222222-2-2222222-222-2-2222-222-2-2-222-2-2000000-200-2-2002-2-2222-22200-2-2000000000000000000200-20000000000
χ20222222-2-2222222-222-2-2222-222-2-2-2-2-222000000-200-2-2002-2-222-22-2-20022000000000000000000-20020000000000
χ2122222-122-1222-1-12-1222-1-1-1222-1-122222000022-1-1-1-1-1-1-1-1-1-1-1-122-1-100-1-1000000002-1-12-1-10220-1-1-1-1-1-100000000
χ2222222-122-1222-1-12-1222-1-1-1222-1-1222220000-2-2-111-1-111-1-1-1-1-122-1-100-1-100000000-211-2110-2-20-111-11100000000
χ2322222-122-1222-1-12-1222-1-1-1222-1-12-2-2-2-2000022-1-1-1-1-1-1-1-1-1-1-1-1-2-2110011000000002-1-12-1-10-2-2011111100000000
χ2422222-122-1222-1-12-1222-1-1-1222-1-12-2-2-2-20000-2-2-111-1-111-1-1-1-1-1-2-211001100000000-211-21102201-1-11-1-100000000
χ2522222-122-1222-1-1-2-1-2-2-2-1-1-12-2-2-1-12222200002-21-1-111111-1-111-2-2-1-100-1-1000000002-1-1-2110-2201111-1-100000000
χ2622222-122-1222-1-1-2-1-2-2-2-1-1-12-2-2-1-1222220000-2211111-1-11-1-111-2-2-1-100-1-100000000-2112-1-102-201-1-111100000000
χ2722222-122-1222-1-1-2-1-2-2-2-1-1-12-2-2-1-12-2-2-2-200002-21-1-111111-1-11122110011000000002-1-1-21102-20-1-1-1-11100000000
χ2822222-122-1222-1-1-2-1-2-2-2-1-1-12-2-2-1-12-2-2-2-20000-2211111-1-11-1-1112211001100000000-2112-1-10-220-111-1-1-100000000
χ2922222-1-2-2-1222-1-12-1-222-1-1-1-2-2-211-222-2-2000000-1−i3i3-1-1−i3i311111-22-1-10011000000000−i3i30−i3i300001−i3i3-1−i3i300000000
χ3022222-1-2-2-1222-1-12-1-222-1-1-1-2-2-211-222-2-2000000-1i3−i3-1-1i3−i311111-22-1-10011000000000i3−i30i3−i300001i3−i3-1i3−i300000000
χ3122222-1-2-2-1222-1-12-1-222-1-1-1-2-2-211-2-2-222000000-1−i3i3-1-1−i3i3111112-21100-1-1000000000−i3i30−i3i30000-1i3−i31i3−i300000000
χ3222222-1-2-2-1222-1-12-1-222-1-1-1-2-2-211-2-2-222000000-1i3−i3-1-1i3−i3111112-21100-1-1000000000i3−i30i3−i30000-1−i3i31−i3i300000000
χ3322222-1-2-2-1222-1-1-2-12-2-2-1-1-1-22211-222-2-20000001−i3i311i3−i3-111-1-12-2-1-10011000000000−i3i30i3−i30000-1i3−i31−i3i300000000
χ3422222-1-2-2-1222-1-1-2-12-2-2-1-1-1-22211-222-2-20000001i3−i311−i3i3-111-1-12-2-1-10011000000000i3−i30−i3i30000-1−i3i31i3−i300000000
χ3522222-1-2-2-1222-1-1-2-12-2-2-1-1-1-22211-2-2-2220000001−i3i311i3−i3-111-1-1-221100-1-1000000000−i3i30i3−i300001−i3i3-1i3−i300000000
χ3622222-1-2-2-1222-1-1-2-12-2-2-1-1-1-22211-2-2-2220000001i3−i311−i3i3-111-1-1-221100-1-1000000000i3−i30−i3i300001i3−i3-1−i3i300000000
χ372222-12222-1-1-1222-12-1-1-1-1-1-1-1-122-10000222222222-1-1222-1-1-1-100002200-1-1-1-1-1-1-1-1-1-1-1-1-1-120020000000000-1-100
χ382222-12222-1-1-1222-12-1-1-1-1-1-1-1-122-100002222-2-22-2-2-1-1-2-22-1-1-1-100002200-1-1-1-1-1-1-1-1111111-200-200000000001100
χ392222-12222-1-1-1222-12-1-1-1-1-1-1-1-122-10000-2-2-2-222222-1-1222-1-1-1-10000-2-20011111111-1-1-1-1-1-1-200-200000000001100
χ402222-12222-1-1-1222-12-1-1-1-1-1-1-1-122-10000-2-2-2-2-2-22-2-2-1-1-2-22-1-1-1-10000-2-2001111111111111120020000000000-1-100
χ412222-12222-1-1-122-2-1-211-1-1-1-11122-1000022222-2-22211-2-2-2-1-1110000-2-200-1-1-1-11111-1-1-1111200-20000000000-1100
χ422222-12222-1-1-122-2-1-211-1-1-1-11122-100002222-22-2-2-21122-2-1-1110000-2-200-1-1-1-11111111-1-1-1-200200000000001-100
χ432222-12222-1-1-122-2-1-211-1-1-1-11122-10000-2-2-2-22-2-22211-2-2-2-1-111000022001111-1-1-1-1-1-1-1111-200200000000001-100
χ442222-12222-1-1-122-2-1-211-1-1-1-11122-10000-2-2-2-2-22-2-2-21122-2-1-111000022001111-1-1-1-1111-1-1-1200-20000000000-1100
χ452-2-22222-2-2-2-22-2202000-22-22002-2-22-22-22i2i−2i−2i00000000002-200002-2002-22i2i−2i−2i000000000000000000002i−2i000000
χ462-2-22222-2-2-2-22-2202000-22-22002-2-22-22-2−2i−2i2i2i00000000002-200002-2002-2−2i−2i2i2i00000000000000000000−2i2i000000
χ472-2-22222-2-2-2-22-2202000-22-22002-2-2-22-222i2i−2i−2i00000000002-20000-2200-222i2i−2i−2i00000000000000000000−2i2i000000
χ482-2-22222-2-2-2-22-2202000-22-22002-2-2-22-22−2i−2i2i2i00000000002-20000-2200-22−2i−2i2i2i000000000000000000002i−2i000000
χ492-2-2222-22-2-2-22-2202000-22-2-200-2222-2-2200000000000000-2200002-22-2-22000022-2-20000000000000000002-20000
χ502-2-2222-22-2-2-22-2202000-22-2-200-2222-2-2200000000000000-2200002-2-22-220000-2-222000000000000000000-220000
χ512-2-2222-22-2-2-22-2202000-22-2-200-222-222-200000000000000-220000-222-22-2000022-2-2000000000000000000-220000
χ522-2-2222-22-2-2-22-2202000-22-2-200-222-222-200000000000000-220000-22-222-20000-2-2220000000000000000002-20000
χ534444-24-4-44-2-2-2444-2-4-2-2-2-2-2222-4-420000000000400-2-200-422220000000000000000000000000000000000000000
χ544444-24-4-44-2-2-244-4-2422-2-2-22-2-2-4-420000000000-4002200422-2-20000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20000000044-2-2-211-2-2-211110000000000000000-211-211000000000000000000
χ564444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-200000000-4-4-2221122-2111100000000000000002-1-12-1-1000000000000000000
χ574444-2-244-2-2-2-2-2-2-41-422111-222-2-2-2000000004-42-2-2-1-122211-1-10000000000000000-2112-1-1000000000000000000
χ584444-2-244-2-2-2-2-2-2-41-422111-222-2-2-200000000-44222-1-1-2-2211-1-100000000000000002-1-1-211000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000000000-2−2i32i311−2i32i32-1-1-1-100000000000000000i3−i30i3−i3000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-241-4-2-21112222220000000000-22i3−2i3112i3−2i32-1-1-1-100000000000000000−i3i30−i3i3000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-2-414221112-2-222200000000002−2i32i3-1-12i3−2i3-2-1-11100000000000000000i3−i30−i3i3000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-2-414221112-2-2222000000000022i3−2i3-1-1−2i32i3-2-1-11100000000000000000−i3i30i3−i3000000000000000000
χ6344-4-444004-44-4-4-4040004-4-4000000000022−2222−22000000000000000000000022−2222−220000000000000000000000000000
χ6444-4-444004-44-4-4-4040004-4-40000000000−2222−22220000000000000000000000−2222−22220000000000000000000000000000
χ6544-4-4-240042-22-4-40-2000-222023−23000000022−2222−2200000000000023−2300000000−22−226−66−6000000000000000000000000
χ6644-4-4-240042-22-4-40-2000-222023−230000000−2222−222200000000000023−23000000002−22−2−66−66000000000000000000000000
χ6744-4-4-240042-22-4-40-2000-2220−2323000000022−2222−22000000000000−232300000000−22−22−66−66000000000000000000000000
χ6844-4-4-240042-22-4-40-2000-2220−23230000000−2222−2222000000000000−2323000000002−22−26−66−6000000000000000000000000
χ694-44-44400-44-4-44-404000-4-440000000000−2i22i22i2−2i20000000000000000000000−2i22i22i2−2i20000000000000000000000000000
χ704-44-44400-44-4-44-404000-4-4400000000002i2−2i2−2i22i200000000000000000000002i2−2i2−2i22i20000000000000000000000000000
χ714-44-4-2400-4-2224-40-20−2i32i322-20000000000−2i22i22i2−2i200000−2i32i3000000000000000i2−i2−i2i26−6−66000000000000000000000000
χ724-44-4-2400-4-2224-40-20−2i32i322-200000000002i2−2i2−2i22i200000−2i32i3000000000000000−i2i2i2−i2−666−6000000000000000000000000
χ734-44-4-2400-4-2224-40-202i3−2i322-20000000000−2i22i22i2−2i2000002i3−2i3000000000000000i2−i2−i2i2−666−6000000000000000000000000
χ744-44-4-2400-4-2224-40-202i3−2i322-200000000002i2−2i2−2i22i2000002i3−2i3000000000000000−i2i2i2−i26−6−66000000000000000000000000
χ754-4-444-24-42-4-442-20-20002-22400-22-44-44-400000000000000-220000-2200-2200000000000000000000000000000000
χ764-4-444-24-42-4-442-20-20002-22400-22-4-44-4400000000000000-2200002-2002-200000000000000000000000000000000
χ774-4-444-2-442-4-442-20-20002-22-4002-244-4-44000000000000002-20000-22002-200000000000000000000000000000000
χ784-4-444-2-442-4-442-20-20002-22-4002-24-444-4000000000000002-200002-200-2200000000000000000000000000000000
χ794-4-44-244-4-422-2-440-20002-22-2004-4200004i4i−4i−4i0000000000-220000000000−2i−2i2i2i0000000000000000000000000000
χ804-4-44-244-4-422-2-440-20002-22-2004-420000−4i−4i4i4i0000000000-2200000000002i2i−2i−2i0000000000000000000000000000
χ814-4-44-24-44-422-2-440-20002-22200-44-20000000000000000002-20000004-4000000-2-222000000000000000000000000
χ824-4-44-24-44-422-2-440-20002-22200-44-20000000000000000002-2000000-4400000022-2-2000000000000000000000000
χ8388-8-88-400-4-88-8440-4000-44400000000000000000000000000000000000000000000000000000000000000000000
χ8488-8-8-4-400-44-4444020002-2-2043−4300000000000000000000000−23230000000000000000000000000000000000000000
χ8588-8-8-4-400-44-4444020002-2-20−43430000000000000000000000023−230000000000000000000000000000000000000000
χ868-88-88-40048-8-8-440-400044-400000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-444-44020−4i34i3-2-2200000000000000000002i3−2i300000000000000000000000000000000000000000000000
χ888-88-8-4-4004-444-440204i3−4i3-2-220000000000000000000−2i32i300000000000000000000000000000000000000000000000
χ898-8-88-4-48-8444-44-402000-22-2-400-4440000000000000000002-2000000000000000000000000000000000000000000
χ908-8-88-4-4-88444-44-402000-22-24004-4-4000000000000000000-22000000000000000000000000000000000000000000

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