Finite Group Databasebeta

← Group #11780921

Character table — Group #11780921

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order122233444466666634666121212121212121212128888121212121212128888882424242424242424266666666882424242424242424444426688
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-111
χ51111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-1
χ92222222-2-222222222-2222222-2-2-2-2-22-20000-222-2-2-2-200000000000000000000000000000000022-2-200000
χ102222222-2-222222222-2222222-2-2-2-2-22-20000-222-2-2-2-2000000000000000000000000000000000-2-22200000
χ11222222-222-22222222-2222-2-2-22-2-222-222222-2-2-222-2-2-2-200002222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-2222-2-2-22-2-222-22-2-2-2-2-2-2-222-2-2220000-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-2-2-2-222-2-2-2-200002-2-2-2-222002i2i−2i−2i00000000000000000002i2i−2i−2i0000000000000
χ14222222-2-2-2-222222222222-2-2-2-222-2-2-2-200002-2-2-2-22200−2i−2i2i2i0000000000000000000−2i−2i2i2i0000000000000
χ1522222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-100
χ1622222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1-2-2-211111100000000000000-21100
χ1722222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111222-1-1-1-1-1-100000000000000-21100
χ1822222-12222222-1-1-1-12-1-1-12-1-12-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111-2-2-2111111000000000000002-1-100
χ1922222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-222222-211-1-111-2-20000-1-1-1-11111000−i3i3−i3−i3i3i3000000000000000−i3i300
χ2022222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-222222-211-1-111-2-20000-1-1-1-11111000i3−i3i3i3−i3−i3000000000000000i3−i300
χ2122222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-22-2-2-2-2-211-1-1112200001111-1-1-1-1000−i3i3−i3−i3i3i3000000000000000i3−i300
χ2222222-1-222-2222-1-1-1-1-2-1-1-1-211211-1-1-22-2-2-2-2-211-1-1112200001111-1-1-1-1000i3−i3i3i3−i3−i3000000000000000−i3i300
χ232222-122222-1-1-1222-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-1002222000000002-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ242222-122222-1-1-1222-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100222200000000-211-2-21111-2-2-1-1-1-11111000000000
χ252222-122222-1-1-1222-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100-2-2-2-2000000002-1-122-1-1-1-1-2-211111111000000000
χ262222-122222-1-1-1222-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100-2-2-2-200000000-211-2-21111221111-1-1-1-1000000000
χ272222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-2110000-11111-1-1002i2i−2i−2i000000000−i3i300−i3i3−i3i300−i−iii33−3−3000000000
χ282222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-2110000-11111-1-1002i2i−2i−2i000000000i3−i300i3−i3i3−i300−i−iii−3−333000000000
χ292222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-2110000-11111-1-100−2i−2i2i2i000000000−i3i300−i3i3−i3i300ii−i−i−3−333000000000
χ302222-12-2-2-2-2-1-1-1222-12-1-1-11-2-2122-2-2110000-11111-1-100−2i−2i2i2i000000000i3−i300i3−i3i3−i300ii−i−i33−3−3000000000
χ3122-2-22202-202-2-22-2-2202-2-20002002-20-222-2-20002-20000000022-2-20000000000000−i2i20000−i2i2−i2i20000000−i2i2
χ3222-2-22202-202-2-22-2-2202-2-20002002-20-222-2-20002-20000000022-2-20000000000000i2−i20000i2−i2i2−i20000000i2−i2
χ3322-2-22202-202-2-22-2-2202-2-20002002-20-2-2-2220002-200000000-2-2220000000000000−i2i20000−i2i2−i2i20000000i2−i2
χ3422-2-22202-202-2-22-2-2202-2-20002002-20-2-2-2220002-200000000-2-2220000000000000i2−i20000i2−i2i2−i20000000−i2i2
χ352-22-222200-2-22-2-22-220-22-222-200000-202−22−202-200002−2−i2i2−i2i22−22−222−2−200000000000−i2i2−i2i20000002i−2i00000
χ362-22-222200-2-22-2-22-220-22-222-200000-202−22−202-200002−2i2−i2i2−i22−22−222−2−200000000000i2−i2i2−i2000000−2i2i00000
χ372-22-222200-2-22-2-22-220-22-222-200000-20−22−2202-20000−22−i2i2−i2i2−22−22−2−22200000000000−i2i2−i2i2000000−2i2i00000
χ382-22-222200-2-22-2-22-220-22-222-200000-20−22−2202-20000−22i2−i2i2−i2−22−22−2−22200000000000i2−i2i2−i20000002i−2i00000
χ392-22-222-2002-22-2-22-220-22-2-2-2200000202−22−20-220000−222−2−222−22−2−2−222000000000002−2−2200002-20000000
χ402-22-222-2002-22-2-22-220-22-2-2-2200000202−22−20-220000−22−222−22−22−2−2−22200000000000−222−20000-220000000
χ412-22-222-2002-22-2-22-220-22-2-2-220000020−22−220-2200002−22−2−22−22−2222−2−2000000000002−2−220000-220000000
χ422-22-222-2002-22-2-22-220-22-2-2-220000020−22−220-2200002−2−222−2−22−2222−2−200000000000−222−200002-20000000
χ4344444-24-4-44444-2-2-2-2-4-2-2-24-2-2-422224-40000-4-2-22222000000000000000000000000000000000000000000
χ4444444-2-4-4-4-4444-2-2-2-24-2-2-2-422-4-2-222-4-4000042222-2-2000000000000000000000000000000000000000000
χ454444-244-4-44-2-2-2444-2-4-2-2-2-2442-4-4-4-4-2200002-2-22222000000000000000000000000000000000000000000
χ464444-24-444-4-2-2-2444-2-4-2-2-22-4-4-2-4-4442-20000222-2-222000000000000000000000000000000000000000000
χ474444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-2111111000000000000004-2-2-2-211110000000000000000000
χ484444-2-24444-2-2-2-2-2-214111-2-2-2-2-2-2-2-2-2-20000-211111100000000000000-42222-1-1-1-10000000000000000000
χ494444-2-24-4-44-2-2-2-2-2-21-4111-2-2-222222-220000211-1-1-1-100000000000000000003-3-330000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-4111-2-2-222222-220000211-1-1-1-10000000000000000000-333-30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-4111222-222-2-22-200002-1-111-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-4111222-222-2-22-200002-1-111-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000-2-1-1-1-111000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2141112222-2-222220000-2-1-1-1-1110000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ5544-4-4440-4404-4-44-4-4404-4-4000-400-44040000000-4400000000000000000000000000000000000000000000
χ5644-4-44-204-404-4-4-222-20-222000400-220-444-4-4000-2200000000-2-22200000000000000000000000000000000
χ5744-4-44-204-404-4-4-222-20-222000400-220-4-4-444000-220000000022-2-200000000000000000000000000000000
χ5844-4-44-20-4404-4-4-222-20-222000-4002-20400000002-2000000000000−2i32i3−2i32i30000000000000000000000000000
χ5944-4-44-20-4404-4-4-222-20-222000-4002-20400000002-20000000000002i3−2i32i3−2i30000000000000000000000000000
χ6044-4-4-2404-40-2224-4-4-20-222000-2004-4020000000-220000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ6144-4-4-2404-40-2224-4-4-20-222000-2004-4020000000-2200000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ6244-4-4-240-440-2224-4-4-20-222000200-440-200000002-20000000000000000000000000000000i6−i6−i6i6000000000
χ6344-4-4-240-440-2224-4-4-20-222000200-440-200000002-20000000000000000000000000000000−i6i6i6−i6000000000
χ644-44-44-2400-4-44-42-22-202-224-2200000-4022−2222−220-22000022−220000−22−22−2−2220000000000000000000000000000
χ654-44-44-2400-4-44-42-22-202-224-2200000-40−2222−22220-220000−222200002−22−222−2−20000000000000000000000000000
χ664-44-44-2-4004-44-42-22-202-22-42-2000004022−2222−2202-20000−22220000−22−2222−2−20000000000000000000000000000
χ674-44-44-2-4004-44-42-22-202-22-42-20000040−2222−222202-2000022−2200002−22−2−2−2220000000000000000000000000000
χ684-44-4-24400-42-22-44-4-202-22-24-4000002000000-22000000−2i22i2−2i22i20000000000000000000i2−i2i2−i20000000000000
χ694-44-4-24400-42-22-44-4-202-22-24-4000002000000-220000002i2−2i22i2−2i20000000000000000000−i2i2−i2i20000000000000
χ704-44-4-24-40042-22-44-4-202-222-4400000-20000002-200000022−22−22220000000000000000000−222−20000000000000
χ714-44-4-24-40042-22-44-4-202-222-4400000-20000002-2000000−222222−2200000000000000000002−2−220000000000000
χ724-4-44440000-4-44-4-4440-4-44000000000022−22−2222000000000000022−22−222200000000000000000000000000000000
χ734-4-44440000-4-44-4-4440-4-440000000000−222222−220000000000000−222222−2200000000000000000000000000000000
χ744-4-444-20000-4-4422-2-2022-20000−2i32i3000022−22−222200000−2i32i3000000−222−2i6−i6−i6i60000000000000000000000000000
χ754-4-444-20000-4-4422-2-2022-20000−2i32i30000−222222−2200000−2i32i30000002−2−22−i6i6i6−i60000000000000000000000000000
χ764-4-444-20000-4-4422-2-2022-200002i3−2i3000022−22−2222000002i3−2i3000000−222−2−i6i6i6−i60000000000000000000000000000
χ774-4-444-20000-4-4422-2-2022-200002i3−2i30000−222222−22000002i3−2i30000002−2−22i6−i6−i6i60000000000000000000000000000
χ7888-8-8-4-408-80-444-444202-2-2000-400-440400000002-200000000000000000000000000000000000000000000
χ7988-8-8-4-40-880-444-444202-2-20004004-40-40000000-2200000000000000000000000000000000000000000000
χ808-88-8-4-4800-84-444-4420-22-2-4-440000040000002-20000000000000000000000000000000000000000000000
χ818-88-8-4-4-80084-444-4420-22-244-400000-4000000-220000000000000000000000000000000000000000000000
χ828-8-88-48000044-4-8-88-4044-4000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-4000044-444-420-2-220000−4i34i300000000000002i3−2i3000000000000000000000000000000000000000000
χ848-8-88-4-4000044-444-420-2-2200004i3−4i30000000000000−2i32i3000000000000000000000000000000000000000000

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