Finite Group Databasebeta

← Group #11866295

Character table — Group #11866295

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222444444444488888888888888881212121212121212121212121212121216161616161618181818242424242424242424242424363648487272
order12223344666666344666121212124812121212121224242424242424242222444488881212121212121212121222442466661212242424244461248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-11-111-1-111-1-1111111-1-1-1-11-1-1-1111-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1-111-11-11-1-111-1-111111111-1-1-1-1-1111-1-1-11-1-111-1-1-11-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-111-1-11-11-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-1-1111-1-1-111-1-1-1111
χ7111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-1-111-1-111-1-1-1-1-1-11-111-1-1-1111-1-1-1-11-111
χ8111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1
χ9111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-11111-1-1-1-11-1
χ10111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-11111-1-111-1-1-1-1-11-1-111-1111-1-111-11-11
χ11111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-111-1-111-1-1-1-11-111-1-11-1-1-111111-1-11
χ12111111111111111-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1111-1
χ13111111111111111-1-11111111-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-11
χ14111111111111111-1-11111111-11-1-1-1-1111111111111-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-11-1-111111-11-1
χ15111111111111111-1-11111111-11-1-1-1-11111111111-1-1111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-111-1-111-111-1
χ16111111111111111-1-11111111-11-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-11
χ17222222-2-2222222200222-2-2-2-2000000-2-200000000000022-2-200002222000000-2-222000000-2-20000000000
χ18222222-2-2222222200222-2-2-2-2000000-2-20000000000002-2-22000022-2-200000022-2-2000000-220000000000
χ19222222-2-2222222200222-2-2-2-2000000-2-2000000000000-222-20000-2-22200000022-2-20000002-20000000000
χ20222222-2-2222222200222-2-2-2-2000000-2-2000000000000-2-2220000-2-2-2-2000000-2-222000000220000000000
χ2122222-1222-1-12-12-122-1-1-1-12-122222-1-1-1-122-1-1-1-1-1-1220020202200-1-100-12-1-1-1-100002000-1-1-10-1-10000-1000
χ2222222-1222-1-12-12-122-1-1-1-12-122222-1-1-1-122-1-1-1-1-1-1-2-200-20-20-2-2001100-12-1-1-1-10000-200011101100001000
χ2322222-1222-1-12-12-122-1-1-1-12-12-2-222-1-1-1-1-2-211111122002020-2-200-1-1001-2-1-1110000-2000-1-1-101100001000
χ2422222-1222-1-12-12-122-1-1-1-12-12-2-222-1-1-1-1-2-2111111-2-200-20-20220011001-2-1-111000020001110-1-10000-1000
χ2522222-1222-1-12-12-1-2-2-1-1-1-12-122-2-2-211-1-1-2-21111112200-20-2022001100-1211-1-10000-2000-1-110-1-100001000
χ2622222-1222-1-12-12-1-2-2-1-1-1-12-122-2-2-211-1-1-2-2111111-2-2002020-2-200-1-100-1211-1-10000200011-10110000-1000
χ2722222-1222-1-12-12-1-2-2-1-1-1-12-12-22-2-211-1-122-1-1-1-1-1-12200-20-20-2-20011001-2111100002000-1-110110000-1000
χ2822222-1222-1-12-12-1-2-2-1-1-1-12-12-22-2-211-1-122-1-1-1-1-1-1-2-20020202200-1-1001-211110000-200011-10-1-100001000
χ292222-1222-122-12-1-122-1-1-12-12-122-1-122-1-1-1-122-1-1-1-100220202002200-1-12-1-1-1-1-1000002-1-1000-100-1-1000-100
χ302222-1222-122-12-1-122-1-1-12-12-122-1-122-1-1-1-122-1-1-1-100-2-20-20-200-2-200112-1-1-1-1-100000-21100010011000100
χ312222-1222-122-12-1-122-1-1-12-12-1-2-2-1-122-1-111-2-211110022020200-2-200-1-1-21-1-11100000-2-1-1000-10011000100
χ322222-1222-122-12-1-122-1-1-12-12-1-2-2-1-122-1-111-2-2111100-2-20-20-200220011-21-1-11100000211000100-1-1000-100
χ332222-1222-122-12-1-1-2-2-1-1-12-12-12-211-2-2-1-111-2-2111100220-20-2002200112-111-1-100000-2-1-1000100-1-1000100
χ342222-1222-122-12-1-1-2-2-1-1-12-12-12-211-2-2-1-111-2-2111100-2-2020200-2-200-1-12-111-1-100000211000-10011000-100
χ352222-1222-122-12-1-1-2-2-1-1-12-12-1-2211-2-2-1-1-1-122-1-1-1-100220-20-200-2-20011-211111000002-1-100010011000-100
χ362222-1222-122-12-1-1-2-2-1-1-12-12-1-2211-2-2-1-1-1-122-1-1-1-100-2-20202002200-1-1-21111100000-211000-100-1-1000100
χ372-2-22222-2-22-2-2-2222i−2i-2-2222-2-2002i−2i2i−2i2-2000000000000000000000000002i−2i002-22-20000000000002i−2i0000
χ382-2-22222-2-22-2-2-2222i−2i-2-2222-2-2002i−2i2i−2i2-2000000000000000000000000002i−2i00-22-22000000000000−2i2i0000
χ392-2-22222-2-22-2-2-222−2i2i-2-2222-2-200−2i2i−2i2i2-200000000000000000000000000−2i2i002-22-2000000000000−2i2i0000
χ402-2-22222-2-22-2-2-222−2i2i-2-2222-2-200−2i2i−2i2i2-200000000000000000000000000−2i2i00-22-220000000000002i−2i0000
χ412-2-2222-22-22-2-2-22200-2-22-2-222000000-22000000002-22-20000000000000000002-2-22002-22-2000000000000
χ422-2-2222-22-22-2-2-22200-2-22-2-222000000-22000000002-2-22000000000000000000-222-200-222-2000000000000
χ432-2-2222-22-22-2-2-22200-2-22-2-222000000-2200000000-222-2000000000000000000-222-2002-2-22000000000000
χ442-2-2222-22-22-2-2-22200-2-22-2-222000000-2200000000-22-220000000000000000002-2-2200-22-22000000000000
χ4544444-2-4-44-2-24-24-200-2-2-22-42-40000002200000000000040-400000-2-2000000000000000000200000000000
χ4644444-2-4-44-2-24-24-200-2-2-22-42-400000022000000000000-4040000022000000000000000000-200000000000
χ474444-24-4-4-244-24-2-200-2-2-2-42-4200000022000000000000040-4000000-2-20000000000000000020000000000
χ484444-24-4-4-244-24-2-200-2-2-2-42-42000000220000000000000-4040000002200000000000000000-20000000000
χ494444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-211-2-2-2-211110000000000000000-2-211110000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-2-2-2112222-1-1-1-100000000000000002211-1-10000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-42222112222-1-1-1-10000000000000000-2-2-1-1110000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-44222211-2-2-2-21111000000000000000022-1-1-1-10000000000000000000000
χ5344-4-44400-4-4-444-4400-44-4000000000000000000000000000000−2i22i2000000000000000000000000−2i22i2000000
χ5444-4-44400-4-4-444-4400-44-40000000000000000000000000000002i2−2i20000000000000000000000002i2−2i2000000
χ5544-4-4-24002-4-4-242-2002-220000000000006−60066−6−60000000000−2i22i200−2i32i300000000000000000000i2−i2000000
χ5644-4-4-24002-4-4-242-2002-220000000000006−60066−6−600000000002i2−2i2002i3−2i300000000000000000000−i2i2000000
χ5744-4-4-24002-4-4-242-2002-22000000000000−6600−6−6660000000000−2i22i2002i3−2i300000000000000000000i2−i2000000
χ5844-4-4-24002-4-4-242-2002-22000000000000−6600−6−66600000000002i2−2i200−2i32i300000000000000000000−i2i2000000
χ594-44-444004-44-4-4-44004-4-40000000000000000000000000000−2i22i2000000000000000000000000−2i22i200000000
χ604-44-444004-44-4-4-44004-4-400000000000000000000000000002i2−2i20000000000000000000000002i2−2i200000000
χ614-44-44-20042-2-42-4-200-22200000000000000i6−i6i6−i6i6−i600000000−2i22i20023−2300000000000000000000i2−i200000000
χ624-44-44-20042-2-42-4-200-22200000000000000i6−i6i6−i6i6−i6000000002i2−2i200−232300000000000000000000−i2i200000000
χ634-44-44-20042-2-42-4-200-22200000000000000−i6i6−i6i6−i6i600000000−2i22i200−232300000000000000000000i2−i200000000
χ644-44-44-20042-2-42-4-200-22200000000000000−i6i6−i6i6−i6i6000000002i2−2i20023−2300000000000000000000−i2i200000000
χ654-4-444-24-4-4-22-424-24i−4i22-2-242-4004i−4i−2i2i-2200000000000000000000000000−2i2i000000000000000000000000
χ664-4-444-24-4-4-22-424-2−4i4i22-2-242-400−4i4i2i−2i-22000000000000000000000000002i−2i000000000000000000000000
χ674-4-444-2-44-4-22-424-20022-22-4-240000002-2000000004-40000000000000000000000000000-22000000000000
χ684-4-444-2-44-4-22-424-20022-22-4-240000002-200000000-4400000000000000000000000000002-2000000000000
χ694-4-44-244-424-42-4-2-24i−4i22-24-2-4200−2i2i4i−4i-2200000000000000000000000000−2i2i000000000000000000000000
χ704-4-44-244-424-42-4-2-2−4i4i22-24-2-42002i−2i−4i4i-22000000000000000000000000002i−2i000000000000000000000000
χ714-4-44-24-4424-42-4-2-20022-2-424-20000002-200000000004-4000000000000000000000000-2200000000000000
χ724-4-44-24-4424-42-4-2-20022-2-424-20000002-20000000000-440000000000000000000000002-200000000000000
χ734-4-44-2-24-42-2222-214i−4i-1-11-2-22200−2i2i−2i2i1-100003i−3i−3i3i000000000000000000i−i3-30000000000000000000000
χ744-4-44-2-24-42-2222-214i−4i-1-11-2-22200−2i2i−2i2i1-10000−3i3i3i−3i000000000000000000i−i-330000000000000000000000
χ754-4-44-2-24-42-2222-21−4i4i-1-11-2-222002i−2i2i−2i1-100003i−3i−3i3i000000000000000000−ii-330000000000000000000000
χ764-4-44-2-24-42-2222-21−4i4i-1-11-2-222002i−2i2i−2i1-10000−3i3i3i−3i000000000000000000−ii3-30000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-42002224444000000-2-20000000000000000000000000000000000000000000000000000
χ7888-8-88-400-8448-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400444-4-44200-22-200000000000026−2600−6−66600000000000000000000000000000000000000000000
χ8088-8-8-4-400444-4-44200-22-2000000000000−26260066−6−600000000000000000000000000000000000000000000
χ818-88-8-4800-4-884-84-400-4440000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400-44-44442002-2-2000000000000002i6−2i6−i6i6−i6i600000000000000000000000000000000000000000000
χ838-88-8-4-400-44-44442002-2-200000000000000−2i62i6i6−i6i6−i600000000000000000000000000000000000000000000
χ848-8-88-4-4-884-4444-4200-2-2244-4-4000000-220000000000000000000000000000000000000000000000000000

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