Finite Group Databasebeta

← Group #11779216

Character table — Group #11779216

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222224444444444444888888881212121216161616161616161624242424242424242424242424242424242424242424363636367272
order122233444466666634666121212121212121212121212121212122244266666666446688881212121212122424242424242424888844
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
χ3111111111111111111111111111111111111111-1-1111111111-111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111111111111111111-1-1111111111111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-111111111-1-1-1-11111-1-1
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
χ92222222-22-22222222-2222222-2-2-22-2-2-222-2-2-2-222000000000000-2220000-2-2000000000000000000
χ102222222-22-22222222-2222222-2-2-22-2-2-222-2-2-2-2-2-20000000000002-2-2000022000000000000000000
χ11222222-22-222222222-2222-2-2-2222-22-2-2-2-222-2-20022000000000-200000000022-2-200000000000000
χ12222222-22-222222222-2222-2-2-2222-22-2-2-2-222-2-200-2-20000000002000000000-2-22200000000000000
χ13222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000000000000002-2
χ14222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000000000000000000000000000-22
χ1522222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-12200222-1-1-1-1-1-102-1-12200-1-10000-1-1-1-10000000000
χ1622222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-12200-2-2-211111102-1-1-2-200-1-1000011110000000000
χ1722222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-1-2-200222-1-1-1-1-1-10-211-2-20011000011110000000000
χ1822222-122222-1-122-1-12-1-1-122-12-1-1-12-12-1-1-1-1-1-1-2-200-2-2-21111110-2112200110000-1-1-1-10000000000
χ1922222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-111112200000−i3i3−i3−i3i3i30-2-1-10000110000−i3−i3i3i30000000000
χ2022222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-111112200000i3−i3i3i3−i3−i30-2-1-10000110000i3i3−i3−i30000000000
χ2122222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-11111-2-200000−i3i3−i3−i3i3i302110000-1-10000i3i3−i3−i30000000000
χ2222222-12-22-22-1-122-1-1-2-1-1-122-1-211-1-21-2-1-11111-2-200000i3−i3i3i3−i3−i302110000-1-10000−i3−i3i3i30000000000
χ232222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100222-1-122-1-1-1-12000002200-1-1-1-10000-1-1-1-1000000
χ242222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-10022-211-2-21111200000-2-200-1-1-1-100001111000000
χ252222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100-2-22-1-122-1-1-1-1-200000-2-200111100001111000000
χ262222-122222-122-1-12-12-1-1-1-1-12-1222-12-1-1-1-1-1-1-100-2-2-211-2-21111-200000220011110000-1-1-1-1000000
χ272222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-2111-1-11100220−i3i300−i3i3−i3i3-2000000000-1-1110000−i3−i3i3i3000000
χ282222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-2111-1-11100220i3−i300i3−i3i3−i3-2000000000-1-1110000i3i3−i3−i3000000
χ292222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-2111-1-11100-2-20−i3i300−i3i3−i3i3200000000011-1-10000i3i3−i3−i3000000
χ302222-12-22-22-122-1-12-1-2-1-1-111-2-122-2-1-2111-1-11100-2-20i3−i300i3−i3i3−i3200000000011-1-10000−i3−i3i3i3000000
χ3122-2-222-202022-2-2-2-2202-2-22-2-200020002-200002-200000000000002-200−i2i20000000000−i2i2−i2i2−i2−i2i2i200
χ3222-2-222-202022-2-2-2-2202-2-22-2-200020002-200002-200000000000002-200i2−i20000000000i2−i2i2−i2i2i2−i2−i200
χ3322-2-222-202022-2-2-2-2202-2-22-2-200020002-20000-220000000000000-2200−i2i20000000000−i2i2−i2i2i2i2−i2−i200
χ3422-2-222-202022-2-2-2-2202-2-22-2-200020002-20000-220000000000000-2200i2−i20000000000i2−i2i2−i2−i2−i2i2i200
χ352-2-22220-202-2-2-22-2220-22-2000-22-20200002-200002-200000000000002−200002-2002−22−200002−22−200
χ362-2-22220-202-2-2-22-2220-22-2000-22-20200002-200002-20000000000000−2200002-200−22−220000−22−2200
χ372-2-22220-202-2-2-22-2220-22-2000-22-20200002-20000-2200000000000002−20000-22002−22−20000−22−2200
χ382-2-22220-202-2-2-22-2220-22-2000-22-20200002-20000-220000000000000−220000-2200−22−2200002−22−200
χ3944444-2-44-444-2-244-2-2-4-2-2-2-4-424-2-2242-422-2-22200000000000000000000000000000000000000000
χ4044444-2-4-4-4-44-2-244-2-24-2-2-2-4-42-4222-4-242222-2-200000000000000000000000000000000000000000
χ414444-244-44-4-244-2-24-2-4-2-2-2-2-242-4-442-42-2-2222200000000000000000000000000000000000000000
χ424444-24-4-4-4-4-244-2-24-24-2-2-222-42-4-4-424-22222-2-200000000000000000000000000000000000000000
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
χ454444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222-222211-1-1-1-10000000−2i32i3i3i3−i3−i30000000000000000000000000000
χ464444-2-24-44-4-2-2-2-2-2-21-4111-2-2-2222-222211-1-1-1-100000002i3−2i3−i3−i3i3i30000000000000000000000000000
χ474444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-22-222-1-111-1-100000−2i32i300i3−i3i3−i30000000000000000000000000000
χ484444-2-2-44-44-2-2-2-2-2-21-4111222-2-2-22-222-1-111-1-1000002i3−2i300−i3i3−i3i30000000000000000000000000000
χ494444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-1110000000003-3-330000000000000000000000000000
χ504444-2-2-4-4-4-4-2-2-2-2-2-21411122222222-2-2-1-1-1-111000000000-333-30000000000000000000000000000
χ5144-4-44440-4044-4-4-4-4404-4-4-444000-4000-44000000000000000000000000000000000000000000000
χ5244-4-44-240-404-22-4-42-20-222-44-200020002-2000000000000000000000000023−23000000000000000000
χ5344-4-44-240-404-22-4-42-20-222-44-200020002-20000000000000000000000000−2323000000000000000000
χ5444-4-44-2-40404-22-4-42-20-2224-42000-2000-2200004-40000000000000-22000000000000000000000000
χ5544-4-44-2-40404-22-4-42-20-2224-42000-2000-220000-4400000000000002-2000000000000000000000000
χ5644-4-4-2440-40-24-422-4-20-2222-24000-40002-2000000000000000000000000000000000006−6−66000000
χ5744-4-4-2440-40-24-422-4-20-2222-24000-40002-200000000000000000000000000000000000−666−6000000
χ5844-4-4-24-4040-24-422-4-20-222-22-40004000-2200000000000000000000000−2i22i20000000000i2−i2i2−i2000000
χ5944-4-4-24-4040-24-422-4-20-222-22-40004000-22000000000000000000000002i2−2i20000000000−i2i2−i2i2000000
χ604-44-4440000-4-44-44-440-4-440000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ614-44-4440000-4-44-44-440-4-44000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ624-4-4444040-4-4-4-44-4440-44-40004-440-40000-440000000000000000000000000000000000000000000
χ634-4-444-2040-4-4224-4-2-202-2200042-20-400002-200000000000000000000000000000i6−i6−i6i60000000000
χ644-4-444-2040-4-4224-4-2-202-2200042-20-400002-200000000000000000000000000000−i6i6i6−i60000000000
χ654-4-444-20-404-4224-4-2-202-22000-4-22040000-22000000000000000000022−2200000000−22−220000000000
χ664-4-444-20-404-4224-4-2-202-22000-4-22040000-220000000000000000000−2222000000002−22−20000000000
χ674-4-44-24040-42-4-4-224-202-22000-2-440200002-200000000000000000000000000023−2300000000000000
χ684-4-44-24040-42-4-4-224-202-22000-2-440200002-2000000000000000000000000000−232300000000000000
χ694-4-44-240-4042-4-4-224-202-2200024-40-20000-2200004-40000000000000000000-220000000000000000
χ704-4-44-240-4042-4-4-224-202-2200024-40-20000-220000-4400000000000000000002-20000000000000000
χ7188-8-8-4-480-80-4-44444202-2-24-4-40004000-22000000000000000000000000000000000000000000000
χ7288-8-8-4-4-8080-4-44444202-2-2-444000-40002-2000000000000000000000000000000000000000000000
χ738-88-88-40000-84-4-884-4044-4000000000000000000000000000000000000000000000000000000000
χ748-88-8-4800004-884-4-8-4044-4000000000000000000000000000000000000000000000000000000000
χ758-88-8-4-4000044-44-4420-2-22000000000000006-600000000000000000000000000000000000000000
χ768-88-8-4-4000044-44-4420-2-2200000000000000-6600000000000000000000000000000000000000000
χ778-8-88-4-4080-8444-44-420-22-2000-44-4040000-220000000000000000000000000000000000000000000
χ788-8-88-4-40-808444-44-420-22-20004-440-400002-20000000000000000000000000000000000000000000

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