Finite Group Databasebeta

← Group #11781391

Character table — Group #11781391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222222244444444444444466668888888121212121212121212121212121216161616161616161624242424242424242424363636364848487272
order1222334444666666346661212121212121212121288881212121212121288888824242424242424244121212121212121288242424242424242444444121288
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
χ92222222-22-22222222-2222-2-2-22-2-222-222222-2-2-2-2-222-2-200002222-2-2-2-20000000000000000000000000000
χ102222222-22-22222222-2222-2-2-22-2-222-22-2-2-2-2-2-2-2-2-222220000-2-2-2-222220000000000000000000000000000
χ11222222-22-222222222-22222-2-2-222-2-22-20000-222-2-2-2-200000000000000000000000000000000022-2-200000
χ12222222-22-222222222-22222-2-2-222-2-22-20000-222-2-2-2-2000000000000000000000000000000000-2-22200000
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
χ1522222-1222222-12-1-1-12-1-1-12-1-12-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000002-1-100
χ1622222-1222222-12-1-1-12-1-1-12-1-12-1-1-1-12222222-1-1-1-1-1-1220000-1-1-1-1-1-1-1-1-2-2-211111100000000000000-21100
χ1722222-1222222-12-1-1-12-1-1-12-1-12-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111222-1-1-1-1-1-100000000000000-21100
χ1822222-1222222-12-1-1-12-1-1-12-1-12-1-1-1-122-2-2-2-22-1-1-1-1-1-1-2-2000011111111-2-2-2111111000000000000002-1-100
χ1922222-12-22-222-12-1-1-1-2-1-1-1-211211-1-1-222222-21111-1-1-2-20000-1-1-1-11111000−i3i3−i3−i3i3i3000000000000000−i3i300
χ2022222-12-22-222-12-1-1-1-2-1-1-1-211211-1-1-222222-21111-1-1-2-20000-1-1-1-11111000i3−i3i3i3−i3−i3000000000000000i3−i300
χ2122222-12-22-222-12-1-1-1-2-1-1-1-211211-1-1-22-2-2-2-2-21111-1-12200001111-1-1-1-1000−i3i3−i3−i3i3i3000000000000000i3−i300
χ2222222-12-22-222-12-1-1-1-2-1-1-1-211211-1-1-22-2-2-2-2-21111-1-12200001111-1-1-1-1000i3−i3i3i3−i3−i3000000000000000−i3i300
χ232222-122222-1-12-122-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-1002222000000002-1-122-1-1-1-122-1-1-1-1-1-1-1-1000000000
χ242222-122222-1-12-122-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100222200000000-211-2-21111-2-2-1-1-1-11111000000000
χ252222-122222-1-12-122-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100-2-2-2-2000000002-1-122-1-1-1-1-2-211111111000000000
χ262222-122222-1-12-122-12-1-1-1-122-12222-1-10000-1-1-1-1-1-1-100-2-2-2-200000000-211-2-21111221111-1-1-1-1000000000
χ272222-12-2-2-2-2-1-12-122-12-1-1-11221-2-2-2-2110000-111-1-111002i2i−2i−2i000000000−i3i300−i3i3−i3i300−i−iii33−3−3000000000
χ282222-12-2-2-2-2-1-12-122-12-1-1-11221-2-2-2-2110000-111-1-111002i2i−2i−2i000000000i3−i300i3−i3i3−i300−i−iii−3−333000000000
χ292222-12-2-2-2-2-1-12-122-12-1-1-11221-2-2-2-2110000-111-1-11100−2i−2i2i2i000000000−i3i300−i3i3−i3i300ii−i−i−3−333000000000
χ302222-12-2-2-2-2-1-12-122-12-1-1-11221-2-2-2-2110000-111-1-11100−2i−2i2i2i000000000i3−i300i3−i3i3−i300ii−i−i33−3−3000000000
χ3122-2-222-2020-2-2-222-220-2-22000-2002-2022i2i−2i−2i000002-20000002i2i−2i−2i00000000000002−200002−22−20000000−i2i2
χ3222-2-222-2020-2-2-222-220-2-22000-2002-2022i2i−2i−2i000002-20000002i2i−2i−2i0000000000000−220000−22−220000000i2−i2
χ3322-2-222-2020-2-2-222-220-2-22000-2002-202−2i−2i2i2i000002-2000000−2i−2i2i2i00000000000002−200002−22−20000000i2−i2
χ3422-2-222-2020-2-2-222-220-2-22000-2002-202−2i−2i2i2i000002-2000000−2i−2i2i2i0000000000000−220000−22−220000000−i2i2
χ352-2-2222020-22-2-2-2-22202-2-2-20002-20020−i2i2−i2i202-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i200000000000−i2i2−i2i20000002-200000
χ362-2-2222020-22-2-2-2-22202-2-2-20002-20020−i2i2−i2i202-20000−i2i2i2−i2i2−i2−i2i2−i2i2−i2−i2i2i200000000000i2−i2i2−i2000000-2200000
χ372-2-2222020-22-2-2-2-22202-2-2-20002-20020i2−i2i2−i202-20000i2−i2−i2i2−i2i2i2−i2i2−i2i2i2−i2−i200000000000−i2i2−i2i2000000-2200000
χ382-2-2222020-22-2-2-2-22202-2-2-20002-20020i2−i2i2−i202-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i200000000000i2−i2i2−i20000002-200000
χ392-2-22220-2022-2-2-2-22202-2-22000-2200-20−i2i2−i2i20-220000i2−i22−2−22−i2i2−i2i2i2i2−i2−i2000000000002−2−2200002i−2i0000000
χ402-2-22220-2022-2-2-2-22202-2-22000-2200-20−i2i2−i2i20-220000i2−i2−222−2−i2i2−i2i2i2i2−i2−i200000000000−222−20000−2i2i0000000
χ412-2-22220-2022-2-2-2-22202-2-22000-2200-20i2−i2i2−i20-220000−i2i22−2−22i2−i2i2−i2−i2−i2i2i2000000000002−2−220000−2i2i0000000
χ422-2-22220-2022-2-2-2-22202-2-22000-2200-20i2−i2i2−i20-220000−i2i2−222−2i2−i2i2−i2−i2−i2i2i200000000000−222−200002i−2i0000000
χ4344444-2-44-4444-24-2-2-2-4-2-2-2422-4-2-2224-40000-4-2-22222000000000000000000000000000000000000000000
χ4444444-2-4-4-4-444-24-2-2-24-2-2-2-4-2-2-42222-4-40000422-2-222000000000000000000000000000000000000000000
χ454444-244-44-4-2-24-244-2-4-2-2-22-4-4-2-4-4442-2000022222-2-2000000000000000000000000000000000000000000
χ464444-24-44-44-2-24-244-2-4-2-2-2-2-4-4244-4-4-2200002-2-22222000000000000000000000000000000000000000000
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
χ494444-2-24-44-4-2-2-2-2-2-21-4111222-222-2-22-200002-1-1-1-11100000000000000000−2i32i3i3i3−i3−i30000000000000000000
χ504444-2-24-44-4-2-2-2-2-2-21-4111222-222-2-22-200002-1-1-1-111000000000000000002i3−2i3−i3−i3i3i30000000000000000000
χ514444-2-2-44-44-2-2-2-2-2-21-4111-2222-2-222-220000211-1-1-1-100000000000000000003-3-330000000000000000000
χ524444-2-2-44-44-2-2-2-2-2-21-4111-2222-2-222-220000211-1-1-1-10000000000000000000-333-30000000000000000000
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
χ5544-4-44440-40-4-4-444-440-4-44000400-440-4000000000-44000000000000000000000000000000000000000000
χ5644-4-44-240-40-4-424-22-2022-20004002-20-40000000002-2000000000023−2323−230000000000000000000000000000
χ5744-4-44-240-40-4-424-22-2022-20004002-20-40000000002-20000000000−2323−23230000000000000000000000000000
χ5844-4-44-2-4040-4-424-22-2022-2000-400-22044i4i−4i−4i00000-22000000−2i−2i2i2i00000000000000000000000000000000
χ5944-4-44-2-4040-4-424-22-2022-2000-400-2204−4i−4i4i4i00000-220000002i2i−2i−2i00000000000000000000000000000000
χ6044-4-4-2440-4022-4-24-4-2022-2000-200-44020000000002-2000000000000000000000000000006−6−66000000000
χ6144-4-4-2440-4022-4-24-4-2022-2000-200-44020000000002-200000000000000000000000000000−666−6000000000
χ6244-4-4-24-404022-4-24-4-2022-20002004-40-2000000000-220000000000000000000000022−220000−22−22000000000
χ6344-4-4-24-404022-4-24-4-2022-20002004-40-2000000000-2200000000000000000000000−222200002−22−2000000000
χ644-44-4440000-444-4-4-440-44-4000000000022−22−2222000000000000022−22−222200000000000000000000000000000000
χ654-44-4440000-444-4-4-440-44-40000000000−222222−220000000000000−222222−2200000000000000000000000000000000
χ664-44-44-20000-44-2-422-202-220−2i32i3000000022−22−2222000−2i32i300000000−222−2i6−i6−i6i60000000000000000000000000000
χ674-44-44-20000-44-2-422-202-220−2i32i30000000−222222−22000−2i32i3000000002−2−22−i6i6i6−i60000000000000000000000000000
χ684-44-44-20000-44-2-422-202-2202i3−2i3000000022−22−22220002i3−2i300000000−222−2−i6i6i6−i60000000000000000000000000000
χ694-44-44-20000-44-2-422-202-2202i3−2i30000000−222222−220002i3−2i3000000002−2−22i6−i6−i6i60000000000000000000000000000
χ704-4-444-2040-44-42-42-2-20-222-4000-220040−2i22i2−2i22i20-220000−2i22i20000i2−i2i2−i2i2i2−i2−i20000000000000000000000000000
χ714-4-444-2040-44-42-42-2-20-222-4000-2200402i2−2i22i2−2i20-2200002i2−2i20000−i2i2−i2i2−i2−i2i2i20000000000000000000000000000
χ724-4-444-20-4044-42-42-2-20-22240002-200-40−2i22i2−2i22i202-200002i2−2i20000i2−i2i2−i2−i2−i2i2i20000000000000000000000000000
χ734-4-444-20-4044-42-42-2-20-22240002-200-402i2−2i22i2−2i202-20000−2i22i20000−i2i2−i2i2i2i2−i2−i20000000000000000000000000000
χ744-4-44-24040-4-22-42-44-20-22220004-400-2000000-22000000−2i22i2−2i22i20000000000000000000i2−i2i2−i20000000000000
χ754-4-44-24040-4-22-42-44-20-22220004-400-2000000-220000002i2−2i22i2−2i20000000000000000000−i2i2−i2i20000000000000
χ764-4-44-240-404-22-42-44-20-222-2000-440020000002-200000022−22−22220000000000000000000−222−20000000000000
χ774-4-44-240-404-22-42-44-20-222-2000-440020000002-2000000−222222−2200000000000000000002−2−220000000000000
χ7888-8-8-4-480-80444-4-4420-2-22000-4004-404000000000-22000000000000000000000000000000000000000000
χ7988-8-8-4-4-8080444-4-4420-2-22000400-440-40000000002-2000000000000000000000000000000000000000000
χ808-88-8-4800004-484-8-8-404-44000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400004-4-444420-22-20−4i34i3000000000000002i3−2i300000000000000000000000000000000000000000000
χ828-88-8-4-400004-4-444420-22-204i3−4i300000000000000−2i32i300000000000000000000000000000000000000000000
χ838-8-88-4-4080-8-44444-4202-2-24000-4400-40000002-20000000000000000000000000000000000000000000000
χ848-8-88-4-40-808-44444-4202-2-2-40004-4004000000-220000000000000000000000000000000000000000000000

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