Finite Group Databasebeta

← Group #11781710

Character table — Group #11781710

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444444888888812121212121212121212121216161616161616161624242424242424242424242448484872727272
order1222334444666666346661212121212121212121212121212121212888824242424242424242666666662466881212242424242668888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-111-1-1
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-1
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111
χ92222222-2-222222222-2222-2-2-2-2-22222-2-222-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000
χ102222222-2-222222222-2222-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000
χ11222222-222-22222222-2222222-2-2-2-2-2-22-2-2-222-2-20000000000000000000002-22200-2-200000000000
χ12222222-222-22222222-2222222-2-2-2-2-2-22-2-2-222-2-2000000000000000000000-22-2-2002200000000000
χ13222222-2-2-2-222222222222-2-2-222-2-2-2-2-22-2-2-2-222000000000000000000000000000000000000002i−2i
χ14222222-2-2-2-222222222222-2-2-222-2-2-2-2-22-2-2-2-22200000000000000000000000000000000000000−2i2i
χ1522222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000002-1-10000
χ1622222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2111111000000000000-2110000
χ1722222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1000000000000-2110000
χ1822222-1222222-1-1-12-12-1-1-12-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-211111111-2-2-21111110000000000002-1-10000
χ1922222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-2-2-1-1111122-2-2-1-1-1-11111000−i3i3−i3−i3i3i30000000000000−i3i30000
χ2022222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-2-2-1-1111122-2-2-1-1-1-11111000i3−i3i3i3−i3−i30000000000000i3−i30000
χ2122222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-2-2-1-11111-2-2221111-1-1-1-1000−i3i3−i3−i3i3i30000000000000i3−i30000
χ2222222-12-2-2222-1-1-12-1-2-1-1-1-2111122-1-1-2-2-1-11111-2-2221111-1-1-1-1000i3−i3i3i3−i3−i30000000000000−i3i30000
χ232222-122222-1-1222-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-122-1-122-1-1-1-1-1-10000000
χ242222-122222-1-1222-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-1-2-211-2-21111110000000
χ252222-122222-1-1222-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-1000000000000-211-2-2111122-1-1-2-2-1-111110000000
χ262222-122222-1-1222-1-12-1-1-1-12222-1-122-1-1-1-1-1-1-1-1000000000000-211-2-21111-2-2112211-1-1-1-10000000
χ272222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-1111-1-1110000000000000−i3i300−i3i3−i3i32-2-1-10011−i3−i3i3i30000000
χ282222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-1111-1-1110000000000000−i3i300−i3i3−i3i3-221100-1-1i3i3−i3−i30000000
χ292222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-1111-1-1110000000000000i3−i300i3−i3i3−i32-2-1-10011i3i3−i3−i30000000
χ302222-12-222-2-1-1222-1-1-2-1-1-1-122-2-211-2-2-1111-1-1110000000000000i3−i300i3−i3i3−i3-221100-1-1−i3−i3i3i30000000
χ312-2-2222-2002-2-22-2-22202-2-2000002-22-2002-20000002-2000022-2-200000000000002−2002−22−20002−200
χ322-2-2222-2002-2-22-2-22202-2-2000002-22-2002-20000002-2000022-2-20000000000000−2200−22−22000−2200
χ332-2-2222-2002-2-22-2-22202-2-2000002-22-2002-2000000-220000-2-22200000000000002−2002−22−2000−2200
χ342-2-2222-2002-2-22-2-22202-2-2000002-22-2002-2000000-220000-2-2220000000000000−2200−22−220002−200
χ3544444-2-444-444-2-2-24-2-4-2-2-24-2-222-4-4224-422-2-2220000000000000000000000000000000000000000
χ3644444-2-4-4-4-444-2-2-24-24-2-2-2-422-2-2-4-422-442222-2-20000000000000000000000000000000000000000
χ374444-244-4-44-2-2444-2-2-4-2-2-22-4-4-4-4-2-24422-2-222220000000000000000000000000000000000000000
χ384444-24-4-4-4-4-2-2444-2-24-2-2-22-4-44422-4-42-22222-2-20000000000000000000000000000000000000000
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
χ414444-2-24-4-44-2-2-2-2-2-21-411122222-2-2-2-22211-1-1-1-1000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ424444-2-24-4-44-2-2-2-2-2-21-411122222-2-2-2-22211-1-1-1-10000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ434444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-22-1-111-1-10000000000000−2i32i300i3−i3i3−i30000000000000000000
χ444444-2-2-444-4-2-2-2-2-2-21-4111-2-2-2222222-22-1-111-1-100000000000002i3−2i300−i3i3−i3i30000000000000000000
χ454444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-222222-2-1-1-1-111000000000000000003-3-330000000000000000000
χ464444-2-2-4-4-4-4-2-2-2-2-2-214111222-2-222222-2-1-1-1-11100000000000000000-333-30000000000000000000
χ4744-4-44400004-4-44-4-440-44-40000000000000000022−22002222−22−2200000000000000000000000000000000
χ4844-4-44400004-4-44-4-440-44-400000000000000000−222200−22−22222200000000000000000000000000000000
χ4944-4-44-200004-42-22-4-202-22000−2i32i30000000000−2i32i322−2200−2−222i6−i6i6−i60000000000000000000000000000
χ5044-4-44-200004-42-22-4-202-22000−2i32i30000000000−2i32i3−22220022−2−2−i6i6−i6i60000000000000000000000000000
χ5144-4-44-200004-42-22-4-202-220002i3−2i300000000002i3−2i322−2200−2−222−i6i6−i6i60000000000000000000000000000
χ5244-4-44-200004-42-22-4-202-220002i3−2i300000000002i3−2i3−22220022−2−2i6−i6i6−i60000000000000000000000000000
χ534-44-44404-40-44-4-44-440-4-44-44-400000040004-4000000000000000000000000000000000000000000
χ544-44-4440-440-44-4-44-440-4-444-44000000-4000-44000000000000000000000000000000000000000000
χ554-44-44-204-40-4422-2-4-2022-2-4-220000004000-22000000i6−i6i6−i6i6−i6−i6i60000000000000000000000000000
χ564-44-44-204-40-4422-2-4-2022-2-4-220000004000-22000000−i6i6−i6i6−i6i6i6−i60000000000000000000000000000
χ574-44-44-20-440-4422-2-4-2022-242-2000000-40002-2000000i6−i6i6−i6−i6i6i6−i60000000000000000000000000000
χ584-44-44-20-440-4422-2-4-2022-242-2000000-40002-2000000−i6i6−i6i6i6−i6−i6i60000000000000000000000000000
χ594-44-4-2404-402-2-4-442-2022-224-4000000-2000-220000000000000000000000000−2i32i3000000000000000
χ604-44-4-2404-402-2-4-442-2022-224-4000000-2000-2200000000000000000000000002i3−2i3000000000000000
χ614-44-4-240-4402-2-4-442-2022-2-2-4400000020002-20000000000000000000000000000023−2300000000000
χ624-44-4-240-4402-2-4-442-2022-2-2-4400000020002-200000000000000000000000000000−232300000000000
χ634-4-4444400-4-4-44-4-44404-4-400000-44-4400-4400000000000000000000000000000000000000000000
χ644-4-444-2400-4-4-4-2224-20-22200000-442-2002-200000000−2i32i32i3−2i300000000000000000000000000000000
χ654-4-444-2400-4-4-4-2224-20-22200000-442-2002-2000000002i3−2i3−2i32i300000000000000000000000000000000
χ664-4-444-2-4004-4-4-2224-20-222000004-4-2200-220000004-40000-2-2220000000000000000000000000000
χ674-4-444-2-4004-4-4-2224-20-222000004-4-2200-22000000-44000022-2-20000000000000000000000000000
χ684-4-44-24400-4224-4-4-2-20-222000002-2-44002-2000000000000000000000000000000000i6−i6−i6i60000000
χ694-4-44-24400-4224-4-4-2-20-222000002-2-44002-2000000000000000000000000000000000−i6i6i6−i60000000
χ704-4-44-24-4004224-4-4-2-20-22200000-224-400-220000000000000000000000000000022−2200−22−220000000
χ714-4-44-24-4004224-4-4-2-20-22200000-224-400-2200000000000000000000000000000−2222002−22−20000000
χ7288-8-8-480000-44-88-84-404-44000000000000000000000000000000000000000000000000000000000
χ7388-8-8-4-40000-444-44420-22-2000−4i34i300000000002i3−2i30000000000000000000000000000000000000000
χ7488-8-8-4-40000-444-44420-22-20004i3−4i30000000000−2i32i30000000000000000000000000000000000000000
χ758-88-8-4-408-804-444-4420-2-224-44000000-40002-2000000000000000000000000000000000000000000
χ768-88-8-4-40-8804-444-4420-2-22-44-40000004000-22000000000000000000000000000000000000000000
χ778-8-88-4-4800-844-444-4202-2-2000004-44-400-2200000000000000000000000000000000000000000000
χ788-8-88-4-4-800844-444-4202-2-200000-44-44002-200000000000000000000000000000000000000000000

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