Finite Group Databasebeta

← Group #11778303

Character table — Group #11778303

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222244444444444488888888888888812121212121216161616161624242424242424242424242424242424242424242472727272
order12222233666666344666666612124466121212121212121212121244121212121212121212122444466881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1
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
χ511111111111111111111111111-1-111-1-1111-1-11111111111-1-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-111-1-1111-1-11111111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111111111111111-1-111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-1111111-1-1
χ9222222222222222-2-22222222-2-2002200-2-2-200-2-2-2-22222220000000-20000000-2-200000000000000
χ10222222222222222-2-22222222-2-2002200-2-2-200-2-2-2-2-2-2-2-2-2-20000000200000002200000000000000
χ112222222-122-12-1-1-1222-1-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122200-1-100-1-1-1-1000000000000
χ122222222-122-12-1-1-1222-1-1-1-1-122222-1-1-1-12-1-1-1-1-1-1-1-1-2-2111122-1-1-1-1-2-2-20011001111000000000000
χ132222222-122-12-1-1-1222-1-1-1-1-1222-2-2-1-1112-1-111-1-1-1-122-1-1-1-1-2-21111-22-2001100-1-111000000000000
χ142222222-122-12-1-1-1222-1-1-1-1-1222-2-2-1-1112-1-111-1-1-1-1-2-21111-2-211112-2200-1-10011-1-1000000000000
χ152222222-122-12-1-1-1-2-22-1-1-1-1-12-2-200-1-1−i3i3-211−i3i3111122-1-1-1-100−i3i3−i3i30-2000−i3i30011−i3i3000000000000
χ162222222-122-12-1-1-1-2-22-1-1-1-1-12-2-200-1-1−i3i3-211−i3i31111-2-2111100−i3i3−i3i302000i3−i300-1-1i3−i3000000000000
χ172222222-122-12-1-1-1-2-22-1-1-1-1-12-2-200-1-1i3−i3-211i3−i3111122-1-1-1-100i3−i3i3−i30-2000i3−i30011i3−i3000000000000
χ182222222-122-12-1-1-1-2-22-1-1-1-1-12-2-200-1-1i3−i3-211i3−i31111-2-2111100i3−i3i3−i302000−i3i300-1-1−i3i3000000000000
χ19222222-12-1-12-122-122-122-1-1-1-1-1-122-1-122-12222-1-1-1-1000000-1-1-1-1-1-10002200220000-1-1-1-1-1-1-1-10000
χ20222222-12-1-12-122-122-122-1-1-1-1-1-122-1-122-12222-1-1-1-1000000-1-1-1-1-1-1000-2-200-2-20000111111110000
χ21222222-12-1-12-122-122-122-1-1-1-1-1-1-2-2-1-1-2-2-122-2-2-1-1-1-10000001111110002200-2-20000-1-1-1-111110000
χ22222222-12-1-12-122-122-122-1-1-1-1-1-1-2-2-1-1-2-2-122-2-2-1-1-1-1000000111111000-2-2002200001111-1-1-1-10000
χ232222-2-22222222222-2-2-2-2222-22200-2-200-22-20022-2-200000000000020-200220000-2-2000000000000
χ242222-2-22222222222-2-2-2-2222-22200-2-200-22-20022-2-2000000000000-20200-2-2000022000000000000
χ252222-2-2222222222-22-2-2-2222-2-2-22-2-2-2222-22-2-2-2-2220000002-222-2-20000000000000000000000000
χ262222-2-2222222222-22-2-2-2222-2-2-2-22-2-2-2-22-2222-2-222000000-22-2-2220000000000000000000000000
χ272222-2-22-122-12-1-1-12-2-211-1-1-1-2220011−i3i3-2-11i3−i3-1-11100−i3−i3i3i300−i3i3i3−i320-200-1-100−i3i311000000000000
χ282222-2-22-122-12-1-1-12-2-211-1-1-1-2220011−i3i3-2-11i3−i3-1-11100i3i3−i3−i300−i3i3i3−i3-202001100i3−i3-1-1000000000000
χ292222-2-22-122-12-1-1-12-2-211-1-1-1-2220011i3−i3-2-11−i3i3-1-11100−i3−i3i3i300i3−i3−i3i3-202001100−i3i3-1-1000000000000
χ302222-2-22-122-12-1-1-12-2-211-1-1-1-2220011i3−i3-2-11−i3i3-1-11100i3i3−i3−i300i3−i3−i3i320-200-1-100i3−i311000000000000
χ312222-2-22-122-12-1-1-1-22-211-1-1-1-2-2-22-211-1-121-11111-1-100−i3−i3i3i32-2-1-11100000−i3i300i3−i3i3−i3000000000000
χ322222-2-22-122-12-1-1-1-22-211-1-1-1-2-2-22-211-1-121-11111-1-100i3i3−i3−i32-2-1-11100000i3−i300−i3i3−i3i3000000000000
χ332222-2-22-122-12-1-1-1-22-211-1-1-1-2-2-2-22111121-1-1-111-1-100−i3−i3i3i3-2211-1-100000i3−i300i3−i3−i3i3000000000000
χ342222-2-22-122-12-1-1-1-22-211-1-1-1-2-2-2-22111121-1-1-111-1-100i3i3−i3−i3-2211-1-100000−i3i300−i3i3i3−i3000000000000
χ352222-2-2-12-1-12-122-1-221-2-2-1-1-11112-21122-1-22-2-211-1-1000000-11-1-111000000000000033−3−333−3−30000
χ362222-2-2-12-1-12-122-1-221-2-2-1-1-11112-21122-1-22-2-211-1-1000000-11-1-1110000000000000−3−333−3−3330000
χ372222-2-2-12-1-12-122-1-221-2-2-1-1-1111-2211-2-2-1-222211-1-10000001-111-1-1000000000000033−3−3−3−3330000
χ382222-2-2-12-1-12-122-1-221-2-2-1-1-1111-2211-2-2-1-222211-1-10000001-111-1-10000000000000−3−33333−3−30000
χ392-22-2-22222-2-2-2-22200-22-22-2-2200002-2000000000002i−2i2i−2i2i−2i0000000000000−i2i200000000−i2i2−i2i2002−2
χ402-22-2-22222-2-2-2-22200-22-22-2-2200002-2000000000002i−2i2i−2i2i−2i0000000000000i2−i200000000i2−i2i2−i200−22
χ412-22-2-22222-2-2-2-22200-22-22-2-2200002-200000000000−2i2i−2i2i−2i2i0000000000000−i2i200000000−i2i2−i2i200−22
χ422-22-2-22222-2-2-2-22200-22-22-2-2200002-200000000000−2i2i−2i2i−2i2i0000000000000i2−i200000000i2−i2i2−i2002−2
χ43444444-24-2-24-244-2-4-4-244-2-2-2-22200-2-2002-4-40022220000000000000000000000000000000000000
χ44444444-2-2-2-2-2-2-2-2144-2-2-2111-2-2-24411-2-2-2-2-2-2-21111000000-2-211110000000000000000000000000
χ45444444-2-2-2-2-2-2-2-2144-2-2-2111-2-2-2-4-41122-2-2-222111100000022-1-1-1-10000000000000000000000000
χ46444444-2-2-2-2-2-2-2-21-4-4-2-2-2111-2220011−2i32i3222−2i32i3-1-1-1-100000000i3−i3i3−i30000000000000000000000000
χ47444444-2-2-2-2-2-2-2-21-4-4-2-2-2111-22200112i3−2i32222i3−2i3-1-1-1-100000000−i3i3−i3i30000000000000000000000000
χ484444-4-4-24-2-24-244-24-42-4-4-2-2-22-2-200220024-400-2-2220000000000000000000000000000000000000
χ494444-4-4-2-2-2-2-2-2-2-214-42221112-2-200-1-1−2i32i32-222i3−2i311-1-100000000i3−i3−i3i30000000000000000000000000
χ504444-4-4-2-2-2-2-2-2-2-214-42221112-2-200-1-12i3−2i32-22−2i32i311-1-100000000−i3i3i3−i30000000000000000000000000
χ514444-4-4-2-2-2-2-2-2-2-21-442221112224-4-1-1-2-2-22-222-1-111000000-2211-1-10000000000000000000000000
χ524444-4-4-2-2-2-2-2-2-2-21-44222111222-44-1-122-22-2-2-2-1-1110000002-2-1-1110000000000000000000000000
χ5344-4-40044-444-4-4-4400000-44-40000000000000000000000000000000002-2000000002-22-200000000
χ5444-4-40044-444-4-4-4400000-44-4000000000000000000000000000000000-2200000000-22-2200000000
χ5544-4-400-242-242-4-4-2000002-22023−230000000000023−23000000000000000002-200000000−1+31−3−1−31+300000000
χ5644-4-400-242-242-4-4-2000002-22023−230000000000023−2300000000000000000-22000000001−3−1+31+3−1−300000000
χ5744-4-400-242-242-4-4-2000002-220−232300000000000−2323000000000000000002-200000000−1−31+3−1+31−300000000
χ5844-4-400-242-242-4-4-2000002-220−232300000000000−232300000000000000000-22000000001+3−1−31−3−1+300000000
χ594-44-44-4444-4-4-4-444004-444-4-4-40000-44000000000000000000000000000000000000000000000000
χ604-44-44-44-24-42-42-2-20042-2-222-400002-2000000000000023−23−23230000000000000000000000000000000
χ614-44-44-44-24-42-42-2-20042-2-222-400002-20000000000000−232323−230000000000000000000000000000000
χ624-44-44-4-24-22-42-44-200-2-44-222200002-20000000000000000000000000000000000000000i6−i6−i6i60000
χ634-44-44-4-24-22-42-44-200-2-44-222200002-20000000000000000000000000000000000000000−i6i6i6−i60000
χ644-44-4-444-24-42-42-2-200-4-22-22240000-22000000000004i−4i−2i2i−2i2i0000000000000000000000000000000
χ654-44-4-444-24-42-42-2-200-4-22-22240000-2200000000000−4i4i2i−2i2i−2i0000000000000000000000000000000
χ664-44-4-44-24-22-42-44-20024-4-222-20000-22000000000000000000000000000000−2i22i200000000i2−i2i2−i20000
χ674-44-4-44-24-22-42-44-20024-4-222-20000-220000000000000000000000000000002i2−2i200000000−i2i2−i2i20000
χ684-4-440044-4-4-444-4400000-4-440000000000000000000000000000000000000000000000000002-200
χ694-4-440044-4-4-444-4400000-4-44000000000000000000000000000000000000000000000000000-2200
χ7088-8-8008-4-88-4-844-4000004-440000000000000000000000000000000000000000000000000000000
χ7188-8-800-4-44-4-4444200000-22-2043−4300000000000−2323000000000000000000000000000000000000000
χ7288-8-800-4-44-4-4444200000-22-20−43430000000000023−23000000000000000000000000000000000000000
χ738-88-88-8-4-4-44444-4200-44-42-2-240000-22000000000000000000000000000000000000000000000000
χ748-88-8-88-4-4-44444-42004-442-2-2-400002-2000000000000000000000000000000000000000000000000
χ758-8-88008-4-8-848-44-40000044-40000000000000000000000000000000000000000000000000000000
χ768-8-8800-4844-8-48-8-40000044-40000000000000000000000000000000000000000000000000000000
χ778-8-8800-4-4444-4-44200000-2-2200000000000000006-60000000000000000000000000000000000000
χ788-8-8800-4-4444-4-44200000-2-220000000000000000-660000000000000000000000000000000000000

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