Finite Group Databasebeta

← Group #11778517

Character table — Group #11778517

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222244444444444488888888888888812121212121216161616161624242424242424242424242424242424242424242472727272
order12222233666666344666666612122466661212121212121212124412121212666121212444448812121212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1111111-1-1
χ9222222222222222-2-22222222-2-2000022-200-2-2-2-2-2-222222200000000-2000000-2-200000000000000
χ10222222222222222-2-22222222-2-2000022-200-2-2-2-2-2-2-2-2-2-2-2-20000000020000002200000000000000
χ112222222-1222-1-1-1-1222-1-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-12-1-12-1-12220000-1-1-1-1-1-1000000000000
χ122222222-1222-1-1-1-1222-1-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-1-2-211112-1-12-1-1-2-2-20000111111000000000000
χ132222222-1222-1-1-1-1222-1-1-1-1-1222-2-211-1-1211-1-1-1-1-1-122-1-1-1-1-211-211-2-22000011-1-111000000000000
χ142222222-1222-1-1-1-1222-1-1-1-1-1222-2-211-1-1211-1-1-1-1-1-1-2-21111-211-21122-20000-1-111-1-1000000000000
χ152222222-1222-1-1-1-1-2-22-1-1-1-1-12-2-200−i3i3-1-1-2−i3i311111122-1-1-1-10−i3i30−i3i300-20000−i3i311−i3i3000000000000
χ162222222-1222-1-1-1-1-2-22-1-1-1-1-12-2-200−i3i3-1-1-2−i3i3111111-2-211110−i3i30−i3i30020000i3−i3-1-1i3−i3000000000000
χ172222222-1222-1-1-1-1-2-22-1-1-1-1-12-2-200i3−i3-1-1-2i3−i311111122-1-1-1-10i3−i30i3−i300-20000i3−i311i3−i3000000000000
χ182222222-1222-1-1-1-1-2-22-1-1-1-1-12-2-200i3−i3-1-1-2i3−i3111111-2-211110i3−i30i3−i30020000−i3i3-1-1−i3i3000000000000
χ19222222-12-1-1-1222-122-122-1-1-1-1-1-12222-1-1-12222-1-1-1-1000000-1-1-1-1-1-10002222000000-1-1-1-1-1-1-1-10000
χ20222222-12-1-1-1222-122-122-1-1-1-1-1-12222-1-1-12222-1-1-1-1000000-1-1-1-1-1-1000-2-2-2-2000000111111110000
χ21222222-12-1-1-1222-122-122-1-1-1-1-1-1-2-2-2-2-1-1-1-2-222-1-1-1-100000011111100022-2-2000000-1-1-1-111110000
χ22222222-12-1-1-1222-122-122-1-1-1-1-1-1-2-2-2-2-1-1-1-2-222-1-1-1-1000000111111000-2-2220000001111-1-1-1-10000
χ232222-2-22222222222-2-2-2-2222-2220000-2-2-2002-222-2-20000000000002-2000002200-2-2000000000000
χ242222-2-22222222222-2-2-2-2222-2220000-2-2-2002-222-2-2000000000000-2200000-2-20022000000000000
χ252222-2-2222222222-22-2-2-2222-2-2-22-222-2-22-2-2-22-2-222000000222-2-2-20000000000000000000000000
χ262222-2-2222222222-22-2-2-2222-2-2-2-22-2-2-2-2222-22-2-222000000-2-2-22220000000000000000000000000
χ272222-2-22-1222-1-1-1-12-2-211-1-1-1-22200−i3i311-2i3−i3-11-1-11100−i3−i3i3i30−i3i30i3−i32-200000-1-1−i3i311000000000000
χ282222-2-22-1222-1-1-1-12-2-211-1-1-1-22200−i3i311-2i3−i3-11-1-11100i3i3−i3−i30−i3i30i3−i3-220000011i3−i3-1-1000000000000
χ292222-2-22-1222-1-1-1-12-2-211-1-1-1-22200i3−i311-2−i3i3-11-1-11100−i3−i3i3i30i3−i30−i3i3-220000011−i3i3-1-1000000000000
χ302222-2-22-1222-1-1-1-12-2-211-1-1-1-22200i3−i311-2−i3i3-11-1-11100i3i3−i3−i30i3−i30−i3i32-200000-1-1i3−i311000000000000
χ312222-2-22-1222-1-1-1-1-22-211-1-1-1-2-2-22-2-1-1112111-111-1-100−i3−i3i3i32-1-1-2110000000−i3i3i3−i3i3−i3000000000000
χ322222-2-22-1222-1-1-1-1-22-211-1-1-1-2-2-22-2-1-1112111-111-1-100i3i3−i3−i32-1-1-2110000000i3−i3−i3i3−i3i3000000000000
χ332222-2-22-1222-1-1-1-1-22-211-1-1-1-2-2-2-2211112-1-11-111-1-100−i3−i3i3i3-2112-1-10000000i3−i3i3−i3−i3i3000000000000
χ342222-2-22-1222-1-1-1-1-22-211-1-1-1-2-2-2-2211112-1-11-111-1-100i3i3−i3−i3-2112-1-10000000−i3i3−i3i3i3−i3000000000000
χ352222-2-2-12-1-1-1222-1-221-2-2-1-1-11112-22211-1-2-2-2211-1-1000000-1-1-1111000000000000033−3−333−3−30000
χ362222-2-2-12-1-1-1222-1-221-2-2-1-1-11112-22211-1-2-2-2211-1-1000000-1-1-11110000000000000−3−333−3−3330000
χ372222-2-2-12-1-1-1222-1-221-2-2-1-1-1111-22-2-211-122-2211-1-1000000111-1-1-1000000000000033−3−3−3−3330000
χ382222-2-2-12-1-1-1222-1-221-2-2-1-1-1111-22-2-211-122-2211-1-1000000111-1-1-10000000000000−3−33333−3−30000
χ392-2-222-222-22-2-22-220022-2-22-2-20000002-20000000002i−2i2i−2i2i−2i00000000000−i2i20000000000−i2i2−i2i2002−2
χ402-2-222-222-22-2-22-220022-2-22-2-20000002-20000000002i−2i2i−2i2i−2i00000000000i2−i20000000000i2−i2i2−i200−22
χ412-2-222-222-22-2-22-220022-2-22-2-20000002-2000000000−2i2i−2i2i−2i2i00000000000−i2i20000000000−i2i2−i2i200−22
χ422-2-222-222-22-2-22-220022-2-22-2-20000002-2000000000−2i2i−2i2i−2i2i00000000000i2−i20000000000i2−i2i2−i2002−2
χ43444444-24-2-2-2444-2-4-4-244-2-2-2-2220000-2-2200-4-422220000000000000000000000000000000000000
χ44444444-2-2-2-2-2-2-2-2144-2-2-2111-2-2-244-2-211-2-2-2-2-21111000000-211-2110000000000000000000000000
χ45444444-2-2-2-2-2-2-2-2144-2-2-2111-2-2-2-4-42211-222-2-211110000002-1-12-1-10000000000000000000000000
χ46444444-2-2-2-2-2-2-2-21-4-4-2-2-2111-22200−2i32i3112−2i32i322-1-1-1-10000000i3−i30i3−i30000000000000000000000000
χ47444444-2-2-2-2-2-2-2-21-4-4-2-2-2111-222002i3−2i31122i3−2i322-1-1-1-10000000−i3i30−i3i30000000000000000000000000
χ484444-4-4-24-2-2-2444-24-42-4-4-2-2-22-2-20000222004-4-2-2220000000000000000000000000000000000000
χ494444-4-4-2-2-2-2-2-2-2-214-42221112-2-200−2i32i3-1-122i3−2i3-2211-1-10000000i3−i30−i3i30000000000000000000000000
χ504444-4-4-2-2-2-2-2-2-2-214-42221112-2-2002i3−2i3-1-12−2i32i3-2211-1-10000000−i3i30i3−i30000000000000000000000000
χ514444-4-4-2-2-2-2-2-2-2-21-442221112224-4-2-2-1-1-2222-2-1-111000000-2112-1-10000000000000000000000000
χ524444-4-4-2-2-2-2-2-2-2-21-44222111222-4422-1-1-2-2-22-2-1-1110000002-1-1-2110000000000000000000000000
χ5344-4-400444-4-44-4-44000004-4-40000000000000000000000000000000002-2000000002-22-200000000
χ5444-4-400444-4-44-4-44000004-4-4000000000000000000000000000000000-2200000000-22-2200000000
χ5544-4-400-24-2224-4-4-200000-222023−230000000000023−23000000000000000002-200000000−1+31−3−1−31+300000000
χ5644-4-400-24-2224-4-4-200000-222023−230000000000023−2300000000000000000-22000000001−3−1+31+3−1−300000000
χ5744-4-400-24-2224-4-4-200000-2220−232300000000000−2323000000000000000002-200000000−1−31+3−1+31−300000000
χ5844-4-400-24-2224-4-4-200000-2220−232300000000000−232300000000000000000-22000000001+3−1−31−3−1+300000000
χ594-44-40044-4-44-4-44400000-4-440000000000000000000000000000000000000000000000000002i−2i00
χ604-44-40044-4-44-4-44400000-4-44000000000000000000000000000000000000000000000000000−2i2i00
χ614-4-444-44-2-44-42-22-2004-222-22-4000000-220000000004i−4i−2i2i−2i2i0000000000000000000000000000000
χ624-4-444-44-2-44-42-22-2004-222-22-4000000-22000000000−4i4i2i−2i2i−2i0000000000000000000000000000000
χ634-4-444-4-242-22-44-4-200-24-42-222000000-2200000000000000000000000000−2i22i20000000000i2−i2i2−i20000
χ644-4-444-4-242-22-44-4-200-24-42-222000000-22000000000000000000000000002i2−2i20000000000−i2i2−i2i20000
χ654-4-44-4444-44-4-44-4400-4-44-44-44000000-440000000000000000000000000000000000000000000000
χ664-4-44-444-2-44-42-22-200-42-22-2240000002-20000000000023−23−23230000000000000000000000000000000
χ674-4-44-444-2-44-42-22-200-42-22-2240000002-200000000000−232323−230000000000000000000000000000000
χ684-4-44-44-242-22-44-4-2002-442-22-20000002-200000000000000000000000000000000000000i6−i6−i6i60000
χ694-4-44-44-242-22-44-4-2002-442-22-20000002-200000000000000000000000000000000000000−i6i6i6−i60000
χ7088-8-8008-48-8-8-444-400000-4440000000000000000000000000000000000000000000000000000000
χ7188-8-800-4-4-444-4442000002-2-2043−4300000000000−2323000000000000000000000000000000000000000
χ7288-8-800-4-4-444-4442000002-2-20−43430000000000023−23000000000000000000000000000000000000000
χ738-88-8008-4-8-8844-4-40000044-40000000000000000000000000000000000000000000000000000000
χ748-88-800-4844-4-8-88-40000044-40000000000000000000000000000000000000000000000000000000
χ758-88-800-4-444-444-4200000-2-2200000000000000006-60000000000000000000000000000000000000
χ768-88-800-4-444-444-4200000-2-220000000000000000-660000000000000000000000000000000000000
χ778-8-888-8-4-44-444-44200-4-44-22-240000002-20000000000000000000000000000000000000000000000
χ788-8-88-88-4-44-444-4420044-4-22-2-4000000-220000000000000000000000000000000000000000000000

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