Finite Group Databasebeta

← Group #11781997

Character table — Group #11781997

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444444888888812121212121212121212121216161616161616161624242424242424242424242448484872727272
order1222334444666666346661212121212121212121212121212121212888824242424242424244121212121212121288882424242424242424412122488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111
χ92222222-22-22222222-22222-2-2-2-2-2222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ102222222-22-22222222-22222-2-2-2-2-2222-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ11222222-22-222222222-2222-2222-2-2-2-2-22-2-2-222-2-20000000000000000000000000000000000002-200
χ12222222-22-222222222-2222-2222-2-2-2-2-22-2-2-222-2-2000000000000000000000000000000000000-2200
χ13222222-2-2-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-222000000000000000000000002i−2i00002i2i−2i−2i0000000
χ14222222-2-2-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-22200000000000000000000000−2i2i0000−2i−2i2i2i0000000
χ1522222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000002-1-10000
χ1622222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2111111000000000000-2110000
χ1722222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1000000000000-2110000
χ1822222-1222222-1-12-1-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-211111111-2-2-21111110000000000002-1-10000
χ1922222-12-22-222-1-12-1-1-2-1-1-12-21111-1-12-2-2-1-1111122-2-2-1-1-1-11111000−i3i3−i3−i3i3i30000000000000−i3i30000
χ2022222-12-22-222-1-12-1-1-2-1-1-12-21111-1-12-2-2-1-1111122-2-2-1-1-1-11111000i3−i3i3i3−i3−i30000000000000i3−i30000
χ2122222-12-22-222-1-12-1-1-2-1-1-12-21111-1-12-2-2-1-11111-2-2221111-1-1-1-1000−i3i3−i3−i3i3i30000000000000i3−i30000
χ2222222-12-22-222-1-12-1-1-2-1-1-12-21111-1-12-2-2-1-11111-2-2221111-1-1-1-1000i3−i3i3i3−i3−i30000000000000−i3i30000
χ232222-122222-1-122-12-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000
χ242222-122222-1-122-12-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-1-2-2-2-2111111110000000
χ252222-122222-1-122-12-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1000000000000-211-2-2111122-2-2-1-1-1-111110000000
χ262222-122222-1-122-12-12-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1000000000000-211-2-21111-2-2221111-1-1-1-10000000
χ272222-12-2-2-2-2-1-122-12-12-1-1-111-2-222-2-211-11111-1-10000000000000−i3i300−i3i3−i3i3002i−2i33−3−3−i−iii0000000
χ282222-12-2-2-2-2-1-122-12-12-1-1-111-2-222-2-211-11111-1-10000000000000−i3i300−i3i3−i3i300−2i2i−3−333ii−i−i0000000
χ292222-12-2-2-2-2-1-122-12-12-1-1-111-2-222-2-211-11111-1-10000000000000i3−i300i3−i3i3−i3002i−2i−3−333−i−iii0000000
χ302222-12-2-2-2-2-1-122-12-12-1-1-111-2-222-2-211-11111-1-10000000000000i3−i300i3−i3i3−i300−2i2i33−3−3ii−i−i0000000
χ312-2-2222-20202-22-2-2-2202-2-2-2000002-22002-20000002-2000022-2-2000000000−i2i200−i2i2−i2i2000000000−i2i2
χ322-2-2222-20202-22-2-2-2202-2-2-2000002-22002-20000002-2000022-2-2000000000i2−i200i2−i2i2−i2000000000i2−i2
χ332-2-2222-20202-22-2-2-2202-2-2-2000002-22002-2000000-220000-2-222000000000−i2i200−i2i2−i2i2000000000i2−i2
χ342-2-2222-20202-22-2-2-2202-2-2-2000002-22002-2000000-220000-2-222000000000i2−i200i2−i2i2−i2000000000−i2i2
χ3544444-2-44-4444-2-24-2-2-4-2-2-2-44-2-22222-44-422-2-2220000000000000000000000000000000000000000
χ3644444-2-4-4-4-444-2-24-2-24-2-2-2-4-422-2-222-4-442222-2-20000000000000000000000000000000000000000
χ374444-244-44-4-2-244-24-2-4-2-2-2-22-4-4-4-444-222-2-222220000000000000000000000000000000000000000
χ384444-24-44-44-2-244-24-2-4-2-2-22-244-4-4-4-42-2222-2-2220000000000000000000000000000000000000000
χ394444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-21111110000000000004-2-2-2-211110000000000000000000
χ404444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-2-2111111000000000000-42222-1-1-1-10000000000000000000
χ414444-2-24-44-4-2-2-2-2-2-21-4111-222222-2-2-22211-1-1-1-1000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ424444-2-24-44-4-2-2-2-2-2-21-4111-222222-2-2-22211-1-1-1-10000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ434444-2-2-44-44-2-2-2-2-2-21-41112-2-2-222222-22-1-111-1-1000000000000000003-3-330000000000000000000
χ444444-2-2-44-44-2-2-2-2-2-21-41112-2-2-222222-22-1-111-1-100000000000000000-333-30000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222-2-1-1-1-1110000000000000−2i32i300i3−i3i3−i30000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-22222-2-1-1-1-11100000000000002i3−2i300−i3i3−i3i30000000000000000000
χ4744-4-444040-4-44-44-4-440-44-40-44-40000040004-4000000000000000000000000000000000000000000
χ4844-4-4440-404-44-44-4-440-44-404-4400000-4000-44000000000000000000000000000000000000000000
χ4944-4-44-2040-4-442-2-42-202-220-4-22000004000-22000000i6i6−i6−i6i6−i6i6−i60000000000000000000000000000
χ5044-4-44-2040-4-442-2-42-202-220-4-22000004000-22000000−i6−i6i6i6−i6i6−i6i60000000000000000000000000000
χ5144-4-44-20-404-442-2-42-202-22042-200000-40002-2000000i6i6−i6−i6−i6i6−i6i60000000000000000000000000000
χ5244-4-44-20-404-442-2-42-202-22042-200000-40002-2000000−i6−i6i6i6i6−i6i6−i60000000000000000000000000000
χ5344-4-4-24040-42-2-442-4-202-22024-400000-2000-2200000000000000000000000000000006−66−60000000
χ5444-4-4-24040-42-2-442-4-202-22024-400000-2000-220000000000000000000000000000000−66−660000000
χ5544-4-4-240-4042-2-442-4-202-220-2-440000020002-20000000000000000000000000000000i6−i6−i6i60000000
χ5644-4-4-240-4042-2-442-4-202-220-2-440000020002-20000000000000000000000000000000−i6i6i6−i60000000
χ574-44-4440000-4-4-4-44440-4-440000000000000000022−220022−2222−2200000000000000000000000000000000
χ584-44-4440000-4-4-4-44440-4-4400000000000000000−222200−2222−222200000000000000000000000000000000
χ594-44-44-20000-4-4224-2-2022-20000−2i32i3000000000−2i32i322−2200−22−22i6−i6−i6i60000000000000000000000000000
χ604-44-44-20000-4-4224-2-2022-20000−2i32i3000000000−2i32i3−2222002−22−2−i6i6i6−i60000000000000000000000000000
χ614-44-44-20000-4-4224-2-2022-200002i3−2i30000000002i3−2i322−2200−22−22−i6i6i6−i60000000000000000000000000000
χ624-44-44-20000-4-4224-2-2022-200002i3−2i30000000002i3−2i3−2222002−22−2i6−i6−i6i60000000000000000000000000000
χ634-4-444440-404-44-4-4-4404-4-4400000-44-400-4400000000000000000000000000000000000000000000
χ644-4-444-240-404-4-22-42-20-2224000002-2-4002-200000000−2i32i32i3−2i300000000000000000000000000000000
χ654-4-444-240-404-4-22-42-20-2224000002-2-4002-2000000002i3−2i3−2i32i300000000000000000000000000000000
χ664-4-444-2-40404-4-22-42-20-222-400000-22400-220000004-40000-2-2220000000000000000000000000000
χ674-4-444-2-40404-4-22-42-20-222-400000-22400-22000000-44000022-2-20000000000000000000000000000
χ684-4-44-2440-40-224-42-4-20-222-200000-442002-200000000000000000000000000000i6−i6−i6i600000000000
χ694-4-44-2440-40-224-42-4-20-222-200000-442002-200000000000000000000000000000−i6i6i6−i600000000000
χ704-4-44-24-4040-224-42-4-20-2222000004-4-200-220000000000000000000000000−2i22i200i2−i2i2−i200000000000
χ714-4-44-24-4040-224-42-4-20-2222000004-4-200-2200000000000000000000000002i2−2i200−i2i2−i2i200000000000
χ7288-8-8-4-4080-84-44-44420-22-204-4400000-40002-2000000000000000000000000000000000000000000
χ7388-8-8-4-40-8084-44-44420-22-20-44-4000004000-22000000000000000000000000000000000000000000
χ748-88-8-48000044-8-8-48-4044-4000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400004444-4-420-2-220000−4i34i30000000002i3−2i30000000000000000000000000000000000000000
χ768-88-8-4-400004444-4-420-2-2200004i3−4i3000000000−2i32i30000000000000000000000000000000000000000
χ778-8-88-4-480-80-44-4444202-2-2-4000004-4400-2200000000000000000000000000000000000000000000
χ788-8-88-4-4-8080-44-4444202-2-2400000-44-4002-200000000000000000000000000000000000000000000

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