Finite Group Databasebeta

← Group #11872860

Character table — Group #11872860

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order1222334466666634466688121212124121212121212242424242424242422244444121212121212121212124444446668812121224242424228812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-111-1-1-1-1-111111111-1-1-1-11-1-1111-11-1-1-1-111-1-1-1-1-11-1
χ311111111111111111111111111111111111111111-1-11-1-111111-1-1111111-1-1-1-1-111-1-1-11-11111-1-1-1-1-1-11-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1111-1-1111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-111-1-1-1-1-1-1-11-111-111-1-111-1-1-1-1111-11
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-11-11-1-11-1-111-1-111-1-111-111
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-111-1-111-1-1-111
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1111-1-11111-1-11-11
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-111-1-111-1-1-1-1-111111-1-1-1-1-1-11111111-1-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111-1-1111111-1-1-11111-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-11-1-1-1-1-1111111-1-11111-11-1
χ17222222-2-222222220022200-2-2-2-200000-2-2000000000022-200-2-2-22200000022-2-20020000-20000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2200-2-2-2-2-2000000-2-222002000020000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-22-20022222000000-2-22200-20000-20000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-2-2200222-2-200000022-2-200-2000020000000000000
χ2122222-122-12-122-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-12202200000-1-1-12-1-1-1-10000200-1-120-10000-1-100000-10
χ2222222-122-12-122-1-122-1-1-122-122-1222-1-1-1-122-1-1-1-1-1-1-2-20-2-20000011-12-1-1-1-10000-20011-2010000110000010
χ2322222-122-12-122-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-21111112202200000-1-11-2-1-1110000-200-1-1-20-10000110000010
χ2422222-122-12-122-1-122-1-1-1-2-2-122-1-222-1-1-1-1-2-2111111-2-20-2-200000111-2-1-1110000200112010000-1-100000-10
χ2522222-122-12-122-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-1220-2-200000111-211110000200-1-1-20100001100000-10
χ2622222-122-12-122-1-1-2-2-1-1-122-122-1-2-2-211-1-122-1-1-1-1-1-1-2-202200000-1-11-211110000-2001120-10000-1-10000010
χ2722222-122-12-122-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-2111111220-2-20000011-1211-1-10000-200-1-12010000-1-10000010
χ2822222-122-12-122-1-1-2-2-1-1-1-2-2-122-12-2-211-1-1-2-2111111-2-202200000-1-1-1211-1-1000020011-20-100001100000-10
χ292222-12222-12-1-12-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-100200222-1-1002-1-1-1-1-1000002-100020-1-1-1-1000000-100
χ302222-12222-12-1-12-122-1-1-1222-1-122-1-122-1-1-1-122-1-1-1-100-200-2-2-211002-1-1-1-1-100000-21000-201111000000100
χ312222-12222-12-1-12-122-1-1-1-2-22-1-12-2-1-122-1-111-2-2111100200222-1-100-21-1-11100000-2-1000-20-1-111000000100
χ322222-12222-12-1-12-122-1-1-1-2-22-1-12-2-1-122-1-111-2-2111100-200-2-2-21100-21-1-11100000210002011-1-1000000-100
χ332222-12222-12-1-12-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-100200-2-22-1-100-21111100000-2-10002011-1-1000000100
χ342222-12222-12-1-12-1-2-2-1-1-1222-1-12-211-2-2-1-1-1-122-1-1-1-100-20022-21100-2111110000021000-20-1-111000000-100
χ352222-12222-12-1-12-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-2111100200-2-22-1-1002-111-1-1000002-1000-201111000000-100
χ362222-12222-12-1-12-1-2-2-1-1-1-2-22-1-12211-2-2-1-111-2-2111100-20022-211002-111-1-100000-2100020-1-1-1-1000000100
χ372-2-22222-22-2-2-22-222i−2i2-2-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i002i−2i2i−2i000000000000002-200000
χ382-2-22222-22-2-2-22-222i−2i2-2-200-22-2202i−2i2i−2i-2200000000000000000000002i−2i00−2i2i−2i2i00000000000000-2200000
χ392-2-22222-22-2-2-22-22−2i2i2-2-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i002i−2i2i−2i00000000000000-2200000
χ402-2-22222-22-2-2-22-22−2i2i2-2-200-22-220−2i2i−2i2i-220000000000000000000000−2i2i00−2i2i−2i2i000000000000002-200000
χ412-2-2222-222-2-2-22-22002-2-2002-22-2000002-2000000002-20002i−2i000000000002i−2i−2i2i0002-20002i−2i00000000000
χ422-2-2222-222-2-2-22-22002-2-2002-22-2000002-2000000002-2000−2i2i00000000000−2i2i2i−2i0002-2000−2i2i00000000000
χ432-2-2222-222-2-2-22-22002-2-2002-22-2000002-200000000-220002i−2i00000000000−2i2i2i−2i000-220002i−2i00000000000
χ442-2-2222-222-2-2-22-22002-2-2002-22-2000002-200000000-22000−2i2i000000000002i−2i−2i2i000-22000−2i2i00000000000
χ4544444-2-4-4-24-244-2-200-2-2-2002-4-420000022000000000004-400000-2-20000000000000000020000000000000
χ4644444-2-4-4-24-244-2-200-2-2-2002-4-42000002200000000000-44000002200000000000000000-20000000000000
χ474444-24-4-44-24-2-24-200-2-2-200-422-40000022000000000040000-42200000000000000-2000000000000000000
χ484444-24-4-44-24-2-24-200-2-2-200-422-400000220000000000-400004-2-2000000000000002000000000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-44400-44-4-4-44400-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ5444-4-44400-44-4-4-44400-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ554-44-44400-4-444-4-4400-4-44−2i22i200000000000−2i22i2−2i22i2−2i2−2i22i22i20000000000000000000000000000000000000000000
χ564-44-44400-4-444-4-4400-4-442i2−2i2000000000002i2−2i22i2−2i22i22i2−2i2−2i20000000000000000000000000000000000000000000
χ574-44-44-2002-4-24-42-20022-2−2i22i200000000000−2i22i2i2−i2i2i2−i2−i2000000000023−230000000000000000000000i6−i60000000
χ584-44-44-2002-4-24-42-20022-2−2i22i200000000000−2i22i2i2−i2i2i2−i2−i20000000000−23230000000000000000000000−i6i60000000
χ594-44-44-2002-4-24-42-20022-22i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i2000000000023−230000000000000000000000−i6i60000000
χ604-44-44-2002-4-24-42-20022-22i2−2i2000000000002i2−2i2−i2i2−i2−i2i2i20000000000−23230000000000000000000000i6−i60000000
χ614-44-4-2400-424-22-4-20022-2−2i22i200000000000i2−i2−2i22i2i2i2−i2−i20000000023−230000000000000000000000i6−i6000000000
χ624-44-4-2400-424-22-4-20022-2−2i22i200000000000i2−i2−2i22i2i2i2−i2−i200000000−23230000000000000000000000−i6i6000000000
χ634-44-4-2400-424-22-4-20022-22i2−2i200000000000−i2i22i2−2i2−i2−i2i2i20000000023−230000000000000000000000−i6i6000000000
χ644-44-4-2400-424-22-4-20022-22i2−2i200000000000−i2i22i2−2i2−i2−i2i2i200000000−23230000000000000000000000i6−i6000000000
χ654-4-444-24-4-2-42-442-24i−4i-2220024-4-204i−4i−2i2i2-20000000000000000000000−2i2i000000000000000000000000000
χ664-4-444-24-4-2-42-442-2−4i4i-2220024-4-20−4i4i2i−2i2-200000000000000000000002i−2i000000000000000000000000000
χ674-4-444-2-44-2-42-442-200-22200-2-44200000-22000000004-400000000000000000000000-220000000000000000
χ684-4-444-2-44-2-42-442-200-22200-2-44200000-2200000000-44000000000000000000000002-20000000000000000
χ694-4-44-244-442-42-2-4-24i−4i-22200-4-2240−2i2i4i−4i2-20000000000000000000000−2i2i000000000000000000000000000
χ704-4-44-244-442-42-2-4-2−4i4i-22200-4-22402i−2i−4i4i2-200000000000000000000002i−2i000000000000000000000000000
χ714-4-44-24-4442-42-2-4-200-2220042-2-400000-2200000000000004i−4i00000000000000000000000−2i2i00000000000
χ724-4-44-24-4442-42-2-4-200-2220042-2-400000-220000000000000−4i4i000000000000000000000002i−2i00000000000
χ734-4-44-2-24-4-2222-2214i−4i1-1-1002-22-20−2i2i−2i2i-1100003-33-300000000000000i−i3i−3i0000000000000000000000000
χ744-4-44-2-24-4-2222-2214i−4i1-1-1002-22-20−2i2i−2i2i-110000-33-3300000000000000i−i−3i3i0000000000000000000000000
χ754-4-44-2-24-4-2222-221−4i4i1-1-1002-22-202i−2i2i−2i-1100003-33-300000000000000−ii−3i3i0000000000000000000000000
χ764-4-44-2-24-4-2222-221−4i4i1-1-1002-22-202i−2i2i−2i-110000-33-3300000000000000−ii3i−3i0000000000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-88-400484-8-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4800-8-4-8448-4004-440000000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-4-4004-4444-4200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ8188-8-8-4-4004-4444-4200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ828-88-8-4-40044-4-444200-2-22−4i24i2000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000000
χ838-88-8-4-40044-4-444200-2-224i2−4i200000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000000
χ848-8-88-4-4-88-4444-442002-2-200-44-44000002-2000000000000000000000000000000000000000000000000000

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