Finite Group Databasebeta

← Group #11781668

Character table — Group #11781668

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222444444444444444888888812121212121212121212121216161616161616161624242424242424242424242448484872727272
order12223344446666663466612121212121212121212121212121212128888242424242424242426666666688882424242424242424412124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111
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
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-1
χ92222222-2-222222222-2222222-2-2-2-2-22-2-222-2-2-2-20000000000000000000000000000000000002-200
χ102222222-2-222222222-2222222-2-2-2-2-22-2-222-2-2-2-2000000000000000000000000000000000000-2200
χ11222222-222-22222222-2222-2-2-22-2-222-22-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-2222-2-2-22-2-222-22-2-2-222-2-2-2-222-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-2220000000000000000000002i−2i002i2i−2i−2i00000000000
χ14222222-2-2-2-222222222222-2-2-2-222-2-2-2-22-2-2-2-222000000000000000000000−2i2i00−2i−2i2i2i00000000000
χ1522222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000002-1-10000
χ1622222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2111111000000000000-2110000
χ1722222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-211111111222-1-1-1-1-1-1000000000000-2110000
χ1822222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-211111111-2-2-21111110000000000002-1-10000
χ1922222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-22-211-1-11122-2-2-1-1-1-11111000−i3i3−i3−i3i3i30000000000000−i3i30000
χ2022222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-22-211-1-11122-2-2-1-1-1-11111000i3−i3i3i3−i3−i30000000000000i3−i30000
χ2122222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-22-211-1-111-2-2221111-1-1-1-1000−i3i3−i3−i3i3i30000000000000i3−i30000
χ2222222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-22-211-1-111-2-2221111-1-1-1-1000i3−i3i3i3−i3−i30000000000000−i3i30000
χ232222-122222-1-1-1222-12-1-1-1-122-12222-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000
χ242222-122222-1-1-1222-12-1-1-1-122-12222-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-1-2-2-2-2111111110000000
χ252222-122222-1-1-1222-12-1-1-1-122-12222-1-1-1-1-1-1-1-1-1000000000000-211-2-2111122-2-2-1-1-1-111110000000
χ262222-122222-1-1-1222-12-1-1-1-122-12222-1-1-1-1-1-1-1-1-1000000000000-211-2-21111-2-2221111-1-1-1-10000000
χ272222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-211-11111-1-10000000000000−i3i300−i3i3−i3i32i−2i00−i−iii33−3−30000000
χ282222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-211-11111-1-10000000000000−i3i300−i3i3−i3i3−2i2i00ii−i−i−3−3330000000
χ292222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-211-11111-1-10000000000000i3−i300i3−i3i3−i32i−2i00−i−iii−3−3330000000
χ302222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-211-11111-1-10000000000000i3−i300i3−i3i3−i3−2i2i00ii−i−i33−3−30000000
χ3122-2-22202-202-2-2-2-22202-2-20002002-20-20002-2002-20022-2-2000000000000000−i2i20000−i2i2−i2i200000−i2i2
χ3222-2-22202-202-2-2-2-22202-2-20002002-20-20002-2002-20022-2-2000000000000000i2−i20000i2−i2i2−i200000i2−i2
χ3322-2-22202-202-2-2-2-22202-2-20002002-20-20002-200-2200-2-222000000000000000−i2i20000−i2i2−i2i200000i2−i2
χ3422-2-22202-202-2-2-2-22202-2-20002002-20-20002-200-2200-2-222000000000000000i2−i20000i2−i2i2−i200000−i2i2
χ3544444-24-4-44444-2-2-2-2-4-2-2-24-2-2-422224-4-4-2-222220000000000000000000000000000000000000000
χ3644444-2-4-4-4-4444-2-2-2-24-2-2-2-422-4-2-222-4-442222-2-20000000000000000000000000000000000000000
χ374444-244-4-44-2-2-2444-2-4-2-2-2-2442-4-4-4-4-222-2-222220000000000000000000000000000000000000000
χ384444-24-444-4-2-2-2444-2-4-2-2-22-4-4-2-4-4442-2222-2-2220000000000000000000000000000000000000000
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
χ414444-2-24-4-44-2-2-2-2-2-21-4111-2-2-222222-22211-1-1-1-1000000000000000003-3-330000000000000000000
χ424444-2-24-4-44-2-2-2-2-2-21-4111-2-2-222222-22211-1-1-1-100000000000000000-333-30000000000000000000
χ434444-2-2-444-4-2-2-2-2-2-21-4111222-222-2-22-22-1-111-1-1000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ444444-2-2-444-4-2-2-2-2-2-21-4111222-222-2-22-22-1-111-1-10000000000000002i3−2i3−i3−i3i3i30000000000000000000
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
χ4744-4-4440-4404-4-4-4-44404-4-4000-400-4404000-44000000000000000000000000000000000000000000
χ4844-4-44-204-404-4-422-2-20-222000400-220-4000-22004-400-2-22200000000000000000000000000000000
χ4944-4-44-204-404-4-422-2-20-222000400-220-4000-2200-440022-2-200000000000000000000000000000000
χ5044-4-44-20-4404-4-422-2-20-222000-4002-2040002-20000000000−2i3−2i32i32i30000000000000000000000000000
χ5144-4-44-20-4404-4-422-2-20-222000-4002-2040002-200000000002i32i3−2i3−2i30000000000000000000000000000
χ5244-4-4-2404-40-222-4-44-20-222000-2004-402000-220000000000000000000000000−2i22i20000i2−i2i2−i20000000
χ5344-4-4-2404-40-222-4-44-20-222000-2004-402000-2200000000000000000000000002i2−2i20000−i2i2−i2i20000000
χ5444-4-4-240-440-222-4-44-20-222000200-440-20002-20000000000000000000000000000000i6−i6−i6i60000000
χ5544-4-4-240-440-222-4-44-20-222000200-440-20002-20000000000000000000000000000000−i6i6i6−i60000000
χ564-44-4440000-44-44-4-440-44-40000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000000000
χ574-44-4440000-44-44-4-440-44-400000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000000000
χ584-44-44-20000-44-4-222-202-220000−2i32i3000000000−2i32i300−2i22i26−66−6i2−i2i2−i20000000000000000000000000000
χ594-44-44-20000-44-4-222-202-220000−2i32i3000000000−2i32i3002i2−2i2−66−66−i2i2−i2i20000000000000000000000000000
χ604-44-44-20000-44-4-222-202-2200002i3−2i30000000002i3−2i300−2i22i2−66−66i2−i2i2−i20000000000000000000000000000
χ614-44-44-20000-44-4-222-202-2200002i3−2i30000000002i3−2i3002i2−2i26−66−6−i2i2−i2i20000000000000000000000000000
χ624-4-4444400-4-4-44-44-440-4-4444-400000-4004-400000000000000000000000000000000000000000000
χ634-4-4444-4004-4-44-44-440-4-44-4-4400000400-4400000000000000000000000000000000000000000000
χ644-4-444-2400-4-4-442-22-2022-24-2200000-400-22000000006−6−666−6−660000000000000000000000000000
χ654-4-444-2400-4-4-442-22-2022-24-2200000-400-2200000000−666−6−666−60000000000000000000000000000
χ664-4-444-2-4004-4-442-22-2022-2-42-2000004002-2000000006−6−66−666−60000000000000000000000000000
χ674-4-444-2-4004-4-442-22-2022-2-42-2000004002-200000000−666−66−6−660000000000000000000000000000
χ684-4-44-24400-422-2-44-4-2022-2-24-400000200-22000000000000000000000000000006−66−600000000000
χ694-4-44-24400-422-2-44-4-2022-2-24-400000200-2200000000000000000000000000000−66−6600000000000
χ704-4-44-24-400422-2-44-4-2022-22-4400000-2002-200000000000000000000000000000i6−i6−i6i600000000000
χ714-4-44-24-400422-2-44-4-2022-22-4400000-2002-200000000000000000000000000000−i6i6i6−i600000000000
χ7288-8-8-4-408-80-44444-4202-2-2000-400-44040002-2000000000000000000000000000000000000000000
χ7388-8-8-4-40-880-44444-4202-2-20004004-40-4000-22000000000000000000000000000000000000000000
χ748-88-8-4800004-448-8-8-404-44000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400004-44-44420-22-20000−4i34i30000000002i3−2i30000000000000000000000000000000000000000
χ768-88-8-4-400004-44-44420-22-200004i3−4i3000000000−2i32i30000000000000000000000000000000000000000
χ778-8-88-4-4800-844-44-4420-2-22-4-44000004002-200000000000000000000000000000000000000000000
χ788-8-88-4-4-800844-44-4420-2-2244-400000-400-2200000000000000000000000000000000000000000000

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