Finite Group Databasebeta

← Group #11779911

Character table — Group #11779911

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222224444444444444888888881212121216161616161616161624242424242424242424242424242424242424242424363636367272
order12223344446666663466612121212121212121212121212121212224441212121212121212446688881212121212122424242424242424888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111-1-11111111111-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111-1-111111111111-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-11111-1-1
χ71111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111
χ92222222-22-22222222-2222222-2-2-22-2-2-2-2-2-2-2222200000000000-20220000-2-2000000000000000000
χ102222222-22-22222222-2222222-2-2-22-2-2-2-2-2-2-222-2-20000000000020-2-2000022000000000000000000
χ11222222-22-222222222-2222-2-2-2222-22-2-222-2-2-2-200220000000000-20000000022-2-200000000000000
χ12222222-22-222222222-2222-2-2-2222-22-2-222-2-2-2-200-2-20000000000200000000-2-22200000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000000000000000000000000002-2
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-222-2-2000000000000000000000000000000000000000-22
χ1522222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-12200222-1-1-1-1-1-120-1-12200-1-10000-1-1-1-10000000000
χ1622222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-12200-2-2-211111120-1-1-2-200-1-1000011110000000000
χ1722222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-1-2-200222-1-1-1-1-1-1-2011-2-20011000011110000000000
χ1822222-12222-12-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-1-2-200-2-2-2111111-20112200110000-1-1-1-10000000000
χ1922222-12-22-2-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-12200000−i3i3−i3−i3i3i3-20-1-10000110000−i3−i3i3i30000000000
χ2022222-12-22-2-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-12200000i3−i3i3i3−i3−i3-20-1-10000110000i3i3−i3−i30000000000
χ2122222-12-22-2-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-1-2-200000−i3i3−i3−i3i3i320110000-1-10000i3i3−i3−i30000000000
χ2222222-12-22-2-12-122-1-1-2-1-1-122-1-211-1-21-21111-1-1-2-200000i3−i3i3i3−i3−i320110000-1-10000−i3−i3i3i30000000000
χ232222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100222-1-122-1-1-1-10200002200-1-1-1-10000-1-1-1-1000000
χ242222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-10022-211-2-21111020000-2-200-1-1-1-100001111000000
χ252222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100-2-22-1-122-1-1-1-10-20000-2-200111100001111000000
χ262222-1222222-12-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100-2-2-211-2-211110-20000220011110000-1-1-1-1000000
χ272222-12-22-222-12-1-12-1-2-1-1-111-2-122-2-1-21-1-1111100220−i3i300−i3i3−i3i30-200000000-1-1110000−i3−i3i3i3000000
χ282222-12-22-222-12-1-12-1-2-1-1-111-2-122-2-1-21-1-1111100220i3−i300i3−i3i3−i30-200000000-1-1110000i3i3−i3−i3000000
χ292222-12-22-222-12-1-12-1-2-1-1-111-2-122-2-1-21-1-1111100-2-20−i3i300−i3i3−i3i3020000000011-1-10000i3i3−i3−i3000000
χ302222-12-22-222-12-1-12-1-2-1-1-111-2-122-2-1-21-1-1111100-2-20i3−i300i3−i3i3−i3020000000011-1-10000−i3−i3i3i3000000
χ3122-2-222-2020-222-2-2-220-2-222-2-2000200000002-22-200000000000002-200−i2i20000000000−i2i2−i2i2−i2−i2i2i200
χ3222-2-222-2020-222-2-2-220-2-222-2-2000200000002-22-200000000000002-200i2−i20000000000i2−i2i2−i2i2i2−i2−i200
χ3322-2-222-2020-222-2-2-220-2-222-2-2000200000002-2-220000000000000-2200−i2i20000000000−i2i2−i2i2i2i2−i2−i200
χ3422-2-222-2020-222-2-2-220-2-222-2-2000200000002-2-220000000000000-2200i2−i20000000000i2−i2i2−i2−i2−i2i2i200
χ352-22-2220-202-2-2-22-22202-2-2000-22-202002-20000002i−2i0000000000000−i2i200002i−2i00−i2i2−i2i200002−22−200
χ362-22-2220-202-2-2-22-22202-2-2000-22-202002-20000002i−2i0000000000000i2−i200002i−2i00i2−i2i2−i20000−22−2200
χ372-22-2220-202-2-2-22-22202-2-2000-22-202002-2000000−2i2i0000000000000−i2i20000−2i2i00−i2i2−i2i20000−22−2200
χ382-22-2220-202-2-2-22-22202-2-2000-22-202002-2000000−2i2i0000000000000i2−i20000−2i2i00i2−i2i2−i200002−22−200
χ3944444-2-44-44-24-244-2-2-4-2-2-2-4-424-2-2242-4-2-2222200000000000000000000000000000000000000000
χ4044444-2-4-4-4-4-24-244-2-24-2-2-2-4-42-4222-4-2422-2-22200000000000000000000000000000000000000000
χ414444-244-44-44-24-2-24-2-4-2-2-2-2-242-4-442-422222-2-200000000000000000000000000000000000000000
χ424444-24-4-4-4-44-24-2-24-24-2-2-222-42-4-4-424-222-2-22200000000000000000000000000000000000000000
χ434444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-211111100004-2-2-2-211110000000000000000000000000000
χ444444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-21111110000-42222-1-1-1-10000000000000000000000000000
χ454444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222-2222-1-1-1-1110000000−2i32i3i3i3−i3−i30000000000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222-2222-1-1-1-11100000002i3−2i3−i3−i3i3i30000000000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-22-22211-1-1-1-100000−2i32i300i3−i3i3−i30000000000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-22-22211-1-1-1-1000002i3−2i300−i3i3−i3i30000000000000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-10000000003-3-330000000000000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-111-1-1000000000-333-30000000000000000000000000000
χ5144-4-44440-40-444-4-4-440-4-44-444000-40000000-4400000000000000000000000000000000000000000
χ5244-4-44-240-4024-2-4-42-2022-2-44-2000200000002-200000000000000000000023−23000000000000000000
χ5344-4-44-240-4024-2-4-42-2022-2-44-2000200000002-2000000000000000000000−2323000000000000000000
χ5444-4-44-2-404024-2-4-42-2022-24-42000-20000000-224-40000000000000-22000000000000000000000000
χ5544-4-44-2-404024-2-4-42-2022-24-42000-20000000-22-4400000000000002-2000000000000000000000000
χ5644-4-4-2440-40-4-2422-4-2022-22-24000-400000002-200000000000000000000000000000006−6−66000000
χ5744-4-4-2440-40-4-2422-4-2022-22-24000-400000002-20000000000000000000000000000000−666−6000000
χ5844-4-4-24-4040-4-2422-4-2022-2-22-400040000000-220000000000000000000−2i22i20000000000i2−i2i2−i2000000
χ5944-4-4-24-4040-4-2422-4-2022-2-22-400040000000-2200000000000000000002i2−2i20000000000−i2i2−i2i2000000
χ604-44-444040-4-4-4-44-44404-4-40004-440-400-44000000000000000000000000000000000000000000000
χ614-44-44-2040-42-424-4-2-20-22200042-20-4002-200000000000000000000000000000006−6−660000000000
χ624-44-44-2040-42-424-4-2-20-22200042-20-4002-20000000000000000000000000000000−666−60000000000
χ634-44-44-20-4042-424-4-2-20-222000-4-220400-22000000000000000000000−2i22i200000000i2−i2i2−i20000000000
χ644-44-44-20-4042-424-4-2-20-222000-4-220400-220000000000000000000002i2−2i200000000−i2i2−i2i20000000000
χ654-44-4-24040-4-42-4-224-20-222000-2-4402002-200000000000000000000000000000−2i32i300000000000000
χ664-44-4-24040-4-42-4-224-20-222000-2-4402002-2000000000000000000000000000002i3−2i300000000000000
χ674-44-4-240-404-42-4-224-20-22200024-40-200-220000004i−4i0000000000000000000−2i2i0000000000000000
χ684-44-4-240-404-42-4-224-20-22200024-40-200-22000000−4i4i00000000000000000002i−2i0000000000000000
χ694-4-444400004-4-4-44-440-44-40000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ704-4-444400004-4-4-44-440-44-4000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ7188-8-8-4-480-804-4-444420-2-224-4-400040000000-2200000000000000000000000000000000000000000
χ7288-8-8-4-4-80804-4-444420-2-22-444000-400000002-200000000000000000000000000000000000000000
χ738-88-8-4-4080-8444-44-4202-2-2000-44-40400-22000000000000000000000000000000000000000000000
χ748-88-8-4-40-808444-44-4202-2-20004-440-4002-2000000000000000000000000000000000000000000000
χ758-8-888-40000-4-84-884-404-44000000000000000000000000000000000000000000000000000000000
χ768-8-88-48000084-84-4-8-404-44000000000000000000000000000000000000000000000000000000000
χ778-8-88-4-40000-4444-4420-22-20000000000006-60000000000000000000000000000000000000000000
χ788-8-88-4-40000-4444-4420-22-2000000000000-660000000000000000000000000000000000000000000

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