Finite Group Databasebeta

← Group #11781114

Character table — Group #11781114

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order1222334444666666346661212121212121212121288881212121212121288888824242424242424244121212121212121288242424242424242422444121288
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
χ92222222-2-222222222-2222-2-2-2222-2-2-220000-2-2-2-2-22200000000000000000000000000000000022-2-200000
χ102222222-2-222222222-2222-2-2-2222-2-2-220000-2-2-2-2-222000000000000000000000000000000000-2-22200000
χ11222222-222-22222222-22222-2-2-2-2-2222-22222-222-2-2-2-2-2-200002222-2-2-2-20000000000000000000000000000
χ12222222-222-22222222-22222-2-2-2-2-2222-2-2-2-2-2-222-2-2-2-2220000-2-2-2-222220000000000000000000000000000
χ13222222-2-2-2-222222222222-222-2-2-2-2-2-2-200002-2-222-2-2002i2i−2i−2i00000000000000000002i2i−2i−2i0000000000000
χ14222222-2-2-2-222222222222-222-2-2-2-2-2-2-200002-2-222-2-200−2i−2i2i2i0000000000000000000−2i−2i2i2i0000000000000
χ1522222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-100
χ1622222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1-2-2-211111100000000000000-21100
χ1722222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111222-1-1-1-1-1-100000000000000-21100
χ1822222-1222222-1-12-1-12-1-1-12-1-12-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111-2-2-2111111000000000000002-1-100
χ1922222-1-222-222-1-12-1-1-2-1-1-1211-211-1-12-22222-2-1-11111-2-20000-1-1-1-11111000−i3i3−i3−i3i3i3000000000000000−i3i300
χ2022222-1-222-222-1-12-1-1-2-1-1-1211-211-1-12-22222-2-1-11111-2-20000-1-1-1-11111000i3−i3i3i3−i3−i3000000000000000i3−i300
χ2122222-1-222-222-1-12-1-1-2-1-1-1211-211-1-12-2-2-2-2-2-2-1-111112200001111-1-1-1-1000−i3i3−i3−i3i3i3000000000000000i3−i300
χ2222222-1-222-222-1-12-1-1-2-1-1-1211-211-1-12-2-2-2-2-2-2-1-111112200001111-1-1-1-1000i3−i3i3i3−i3−i3000000000000000−i3i300
χ232222-122222-1-122-12-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-1002222000000002-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ242222-122222-1-122-12-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100222200000000-211-2-21111-2-2-1-1-1-11111000000000
χ252222-122222-1-122-12-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100-2-2-2-2000000002-1-122-1-1-1-1-2-211111111000000000
χ262222-122222-1-122-12-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100-2-2-2-200000000-211-2-21111221111-1-1-1-1000000000
χ272222-12-2-2-2-2-1-122-12-12-1-1-11221-2-2-2-2110000-111-1-111002i2i−2i−2i000000000−i3i300−i3i3−i3i300−i−iii33−3−3000000000
χ282222-12-2-2-2-2-1-122-12-12-1-1-11221-2-2-2-2110000-111-1-111002i2i−2i−2i000000000i3−i300i3−i3i3−i300−i−iii−3−333000000000
χ292222-12-2-2-2-2-1-122-12-12-1-1-11221-2-2-2-2110000-111-1-11100−2i−2i2i2i000000000−i3i300−i3i3−i3i300ii−i−i−3−333000000000
χ302222-12-2-2-2-2-1-122-12-12-1-1-11221-2-2-2-2110000-111-1-11100−2i−2i2i2i000000000i3−i300i3−i3i3−i300ii−i−i33−3−3000000000
χ312-22-222200-2-2-2-2-22220-2-2200022-2000-222−2−2000002-22−2−i2i2−i2i222−2−222−2−200000000000−i2i2−i2i20000002i−2i00000
χ322-22-222200-2-2-2-2-22220-2-2200022-2000-222−2−2000002-22−2i2−i2i2−i222−2−222−2−200000000000i2−i2i2−i2000000−2i2i00000
χ332-22-222200-2-2-2-2-22220-2-2200022-2000-2−2−222000002-2−22−i2i2−i2i2−2−222−2−22200000000000−i2i2−i2i2000000−2i2i00000
χ342-22-222200-2-2-2-2-22220-2-2200022-2000-2−2−222000002-2−22i2−i2i2−i2−2−222−2−22200000000000i2−i2i2−i20000002i−2i00000
χ352-22-222-2002-2-2-2-22220-2-22000-2-22000222−2−200000-22−222−2−2222−2−2−2−222000000000002−2−2200002-20000000
χ362-22-222-2002-2-2-2-22220-2-22000-2-22000222−2−200000-22−22−222−222−2−2−2−22200000000000−222−20000-220000000
χ372-22-222-2002-2-2-2-22220-2-22000-2-220002−2−22200000-222−22−2−22−2−22222−2−2000000000002−2−220000-220000000
χ382-22-222-2002-2-2-2-22220-2-22000-2-220002−2−22200000-222−2−222−2−2−22222−2−200000000000−222−200002-20000000
χ392-2-22220-2202-22-2-2-2202-2-2-2000002-2202-22-202-200000000002-22-20000000000000−i2i20000−i2i2−i2i20000000−i2i2
χ402-2-22220-2202-22-2-2-2202-2-2-2000002-2202-22-202-200000000002-22-20000000000000i2−i20000i2−i2i2−i20000000i2−i2
χ412-2-22220-2202-22-2-2-2202-2-2-2000002-220-22-2202-20000000000-22-220000000000000−i2i20000−i2i2−i2i20000000i2−i2
χ422-2-22220-2202-22-2-2-2202-2-2-2000002-220-22-2202-20000000000-22-220000000000000i2−i20000i2−i2i2−i20000000−i2i2
χ4344444-24-4-4444-2-24-2-2-4-2-2-2-4224-2-222-440000-42222-2-2000000000000000000000000000000000000000000
χ4444444-2-4-4-4-444-2-24-2-24-2-2-2-4-2-2-42222-4-40000422-2-222000000000000000000000000000000000000000000
χ454444-244-4-44-2-244-24-2-4-2-2-22-4-4-244-4-42-2000022222-2-2000000000000000000000000000000000000000000
χ464444-24-444-4-2-244-24-2-4-2-2-2-2-4-42-4-444-2200002-2-22222000000000000000000000000000000000000000000
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
χ494444-2-24-4-44-2-2-2-2-2-21-4111222-2-2-2222-200002-1-1-1-11100000000000000000003-3-330000000000000000000
χ504444-2-24-4-44-2-2-2-2-2-21-4111222-2-2-2222-200002-1-1-1-1110000000000000000000-333-30000000000000000000
χ514444-2-2-444-4-2-2-2-2-2-21-4111-222222-2-2-220000211-1-1-1-100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ524444-2-2-444-4-2-2-2-2-2-21-4111-222222-2-2-220000211-1-1-1-1000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ534444-2-2-4-4-4-4-2-2-2-2-2-2141112-2-222222220000-2-1-111-1-1000000000000000−2i32i300i3−i3i3−i30000000000000000000
χ544444-2-2-4-4-4-4-2-2-2-2-2-2141112-2-222222220000-2-1-111-1-10000000000000002i3−2i300−i3i3−i3i30000000000000000000
χ5544-4-4440000-44-44-4-440-44-4000000000022−22−2222000000000000022−22−222200000000000000000000000000000000
χ5644-4-4440000-44-44-4-440-44-40000000000−222222−220000000000000−222222−2200000000000000000000000000000000
χ5744-4-44-20000-442-2-42-202-220−2i32i3000000022−22−2222000−2i32i300000000−222−2i6−i6i6−i60000000000000000000000000000
χ5844-4-44-20000-442-2-42-202-220−2i32i30000000−222222−22000−2i32i3000000002−2−22−i6i6−i6i60000000000000000000000000000
χ5944-4-44-20000-442-2-42-202-2202i3−2i3000000022−22−22220002i3−2i300000000−222−2−i6i6−i6i60000000000000000000000000000
χ6044-4-44-20000-442-2-42-202-2202i3−2i30000000−222222−220002i3−2i3000000002−2−22i6−i6i6−i60000000000000000000000000000
χ614-44-44-2400-4-4-4224-2-2022-20004-22000-42222−22−2200000-2222−220000−2−222−2−2220000000000000000000000000000
χ624-44-44-2400-4-4-4224-2-2022-20004-22000-4−22−22222200000-22−2222000022−2−222−2−20000000000000000000000000000
χ634-44-44-2-4004-4-4224-2-2022-2000-42-200042222−22−22000002-2−22220000−2−22222−2−20000000000000000000000000000
χ644-44-44-2-4004-4-4224-2-2022-2000-42-20004−22−222222000002-222−22000022−2−2−2−2220000000000000000000000000000
χ654-44-4-24400-422-4-4-24-2022-2000-24-40002000000000-2200−2i22i2−2i22i20000000000000000000i2−i2i2−i20000000000000
χ664-44-4-24400-422-4-4-24-2022-2000-24-40002000000000-22002i2−2i22i2−2i20000000000000000000−i2i2−i2i20000000000000
χ674-44-4-24-400422-4-4-24-2022-20002-44000-20000000002-20022−22−22220000000000000000000−222−20000000000000
χ684-44-4-24-400422-4-4-24-2022-20002-44000-20000000002-200−222222−2200000000000000000002−2−220000000000000
χ694-4-444404-404-44-4-4-4404-4-4400000-44-4000000-440000000000000000000000000000000000000000000000
χ704-4-444-204-404-4-22-42-20-2224000002-2-40000002-200000000000000−2i32i32i3−2i30000000000000000000000000000
χ714-4-444-204-404-4-22-42-20-2224000002-2-40000002-2000000000000002i3−2i3−2i32i30000000000000000000000000000
χ724-4-444-20-4404-4-22-42-20-222-400000-22404-44-40-220000000000-22-2200000000000000000000000000000000
χ734-4-444-20-4404-4-22-42-20-222-400000-2240-44-440-2200000000002-22-200000000000000000000000000000000
χ744-4-44-2404-40-224-42-4-20-222-200000-4420000002-2000000000000000000000000000000000i6−i6−i6i6000000000
χ754-4-44-2404-40-224-42-4-20-222-200000-4420000002-2000000000000000000000000000000000−i6i6i6−i6000000000
χ764-4-44-240-440-224-42-4-20-2222000004-4-2000000-22000000000000000000000000000−2i22i20000i2−i2i2−i2000000000
χ774-4-44-240-440-224-42-4-20-2222000004-4-2000000-220000000000000000000000000002i2−2i20000−i2i2−i2i2000000000
χ7888-8-8-4800004-4-884-8-404-44000000000000000000000000000000000000000000000000000000000000000
χ7988-8-8-4-400004-44-44420-22-20−4i34i3000000000000002i3−2i300000000000000000000000000000000000000000000
χ8088-8-8-4-400004-44-44420-22-204i3−4i300000000000000−2i32i300000000000000000000000000000000000000000000
χ818-88-8-4-4800-84444-4-420-2-22000-4-4400040000000002-2000000000000000000000000000000000000000000
χ828-88-8-4-4-80084444-4-420-2-2200044-4000-4000000000-22000000000000000000000000000000000000000000
χ838-8-88-4-408-80-44-4444202-2-2-4000004-44000000-220000000000000000000000000000000000000000000000
χ848-8-88-4-40-880-44-4444202-2-2400000-44-40000002-20000000000000000000000000000000000000000000000

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