Finite Group Databasebeta

← Group #11872508

Character table — Group #11872508

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order12223344666666344666881212121241212121212122424242424242424244444446612121212121212124444448812121212121224242424228812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-11-11-1111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-11-11-1-1-111-1-111-1-1-1-1-11-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-11-11-1-1111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-11-111-1-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11-1-11111-1-111-1-1-111
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1-1-11111-1-11-11
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-111-1-11-1-111-1-11111111-1-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-111111111-1-1-1-1-1-11
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11-1-111-111-1-111-1-11111-11-1
χ17222222-2-222222220022200-2-2-2-200000-2-2000000002-200002-222-2-2000000-2-22200002-2000000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-20000-22222200000022-2-20000-2-2000000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-2200002-2-2-2-2-200000022-2-2000022000000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-220000-22-2-222000000-2-2220000-22000000000000000
χ2122222-122-122-1-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-122002200-1-100-12-1-1-1-1000002020-1-1-100-1-1000000-100
χ2222222-122-122-1-12-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-1-2-200-2-2001100-12-1-1-1-100000-20-201110011000000100
χ2322222-122-122-1-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-2111122002200-1-1001-2-1-11100000-20-20-1-1-10011000000100
χ2422222-122-122-1-12-122-1-1-1-2-22-1-12-222-1-1-1-111-2-21111-2-200-2-20011001-2-1-11100000202011100-1-1000000-100
χ2522222-122-122-1-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-12200-2-200-1-1001-2111100000-2020-11100-1-1000000100
χ2622222-122-122-1-12-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-1-2-200220011001-211110000020-201-1-10011000000-100
χ2722222-122-122-1-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-211112200-2-200-1-100-1211-1-10000020-20-1110011000000-100
χ2822222-122-122-1-12-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-21111-2-20022001100-1211-1-100000-20201-1-100-1-1000000100
χ292222-12222-1-122-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-10022002200-1-12-1-1-1-1-100002020-1000-1-100-1-100000-10
χ302222-12222-1-122-1-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-100-2-200-2-200112-1-1-1-1-10000-20-2010001100110000010
χ312222-12222-1-122-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111110022002200-1-1-21-1-1110000-20-20-1000-1-100110000010
χ322222-12222-1-122-1-122-1-1-1-2-2-122-1-2-1-122-1-1-2-211111100-2-200-2-20011-21-1-1110000202010001100-1-100000-10
χ332222-12222-1-122-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1002200-2-20011-211111000020-201000-1-1001100000-10
χ342222-12222-1-122-1-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-100-2-2002200-1-1-2111110000-2020-10001100-1-10000010
χ352222-12222-1-122-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111002200-2-200112-111-1-10000-20201000-1-100-1-10000010
χ362222-12222-1-122-1-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-211111100-2-2002200-1-12-111-1-1000020-20-100011001100000-10
χ3722-2-2222-2-2-2-22-22200-2-2200-22-2200000-2200000000002-22i−2i0000000000002i−2i2i−2i0000002i−2i2-200000000000
χ3822-2-2222-2-2-2-22-22200-2-2200-22-2200000-2200000000002-2−2i2i000000000000−2i2i−2i2i000000−2i2i2-200000000000
χ3922-2-2222-2-2-2-22-22200-2-2200-22-2200000-220000000000-222i−2i000000000000−2i2i−2i2i0000002i−2i-2200000000000
χ4022-2-2222-2-2-2-22-22200-2-2200-22-2200000-220000000000-22−2i2i0000000000002i−2i2i−2i000000−2i2i-2200000000000
χ4122-2-222-22-2-2-22-2222i−2i-2-22002-22-202i−2i2i−2i2-200000000000000000000002i−2i002i−2i−2i2i000000000000002-200000
χ4222-2-222-22-2-2-22-2222i−2i-2-22002-22-202i−2i2i−2i2-200000000000000000000002i−2i00−2i2i2i−2i00000000000000-2200000
χ4322-2-222-22-2-2-22-222−2i2i-2-22002-22-20−2i2i−2i2i2-20000000000000000000000−2i2i002i−2i−2i2i00000000000000-2200000
χ4422-2-222-22-2-2-22-222−2i2i-2-22002-22-20−2i2i−2i2i2-20000000000000000000000−2i2i00−2i2i2i−2i000000000000002-200000
χ4544444-2-4-4-244-2-24-200-2-2-200-422-40000022000000004-4000000-2-2000000000000000002000000000000000
χ4644444-2-4-4-244-2-24-200-2-2-200-422-4000002200000000-440000002200000000000000000-2000000000000000
χ474444-24-4-44-2-244-2-200-2-2-2002-4-420000022000000000000004-4002200000000000000-20000000000000000
χ484444-24-4-44-2-244-2-200-2-2-2002-4-42000002200000000000000-4400-2-20000000000000020000000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-10000000000002211-1-10000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-2-1-1110000000000000000000000000
χ5344-4-44-24-42-4-4-224-20022-200-4-224000002-20000000000004i−4i0000000000000000000000−2i2i0000000000000
χ5444-4-44-24-42-4-4-224-20022-200-4-224000002-2000000000000−4i4i00000000000000000000002i−2i0000000000000
χ5544-4-44-2-442-4-4-224-24i−4i22-20042-2-404i−4i−2i2i-220000000000000000000000−2i2i000000000000000000000000000
χ5644-4-44-2-442-4-4-224-2−4i4i22-20042-2-40−4i4i2i−2i-2200000000000000000000002i−2i000000000000000000000000000
χ5744-4-4-244-4-4224-4-2-20022-20024-4-2000002-200000000004-400000000000000000000000000-2200000000000
χ5844-4-4-244-4-4224-4-2-20022-20024-4-2000002-20000000000-44000000000000000000000000002-200000000000
χ5944-4-4-24-44-4224-4-2-24i−4i22-200-2-4420−2i2i4i−4i-220000000000000000000000−2i2i000000000000000000000000000
χ6044-4-4-24-44-4224-4-2-2−4i4i22-200-2-44202i−2i−4i4i-2200000000000000000000002i−2i000000000000000000000000000
χ6144-4-4-2-2-44222-22-214i−4i-1-1100-22-220−2i2i−2i2i1-100003i3i−3i−3i00000000000000i−i3-30000000000000000000000000
χ6244-4-4-2-2-44222-22-214i−4i-1-1100-22-220−2i2i−2i2i1-10000−3i−3i3i3i00000000000000i−i-330000000000000000000000000
χ6344-4-4-2-2-44222-22-21−4i4i-1-1100-22-2202i−2i2i−2i1-100003i3i−3i−3i00000000000000−ii-330000000000000000000000000
χ6444-4-4-2-2-44222-22-21−4i4i-1-1100-22-2202i−2i2i−2i1-10000−3i−3i3i3i00000000000000−ii3-30000000000000000000000000
χ654-44-44400-4-44-44-4400-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ664-44-44400-4-44-44-4400-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ674-4-44440044-4-4-4-44004-4-422−220000000000022−2222−2222−2222−220000000000000000000000000000000000000000000
χ684-4-44440044-4-4-4-44004-4-4−222200000000000−2222−2222−2222−22220000000000000000000000000000000000000000000
χ694-4-444-200-24-422-4-200-22222−2200000000000−2222−22−22−2200000000−2i32i30000000000000000000000i6−i6000000000
χ704-4-444-200-24-422-4-200-22222−2200000000000−2222−22−22−22000000002i3−2i30000000000000000000000−i6i6000000000
χ714-4-444-200-24-422-4-200-222−2222000000000002−2−22222−22−200000000−2i32i30000000000000000000000−i6i6000000000
χ724-4-444-200-24-422-4-200-222−2222000000000002−2−22222−22−2000000002i3−2i30000000000000000000000i6−i6000000000
χ734-4-44-24004-22-4-42-200-22222−220000000000022−22−22−22−220000000000−2i32i30000000000000000000000i6−i60000000
χ744-4-44-24004-22-4-42-200-22222−220000000000022−22−22−22−2200000000002i3−2i30000000000000000000000−i6i60000000
χ754-4-44-24004-22-4-42-200-222−222200000000000−22222−22−22−20000000000−2i32i30000000000000000000000−i6i60000000
χ764-4-44-24004-22-4-42-200-222−222200000000000−22222−22−22−200000000002i3−2i30000000000000000000000i6−i60000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-8444-44-4200-2-22004-44-400000-22000000000000000000000000000000000000000000000000000
χ798-88-88-4004-884-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800-84-4-884-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-40044-44-44200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ828-88-8-4-40044-44-44200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ838-8-88-4-400-4-444442002-2-242−4200000000000−2222−22222−22−20000000000000000000000000000000000000000000
χ848-8-88-4-400-4-444442002-2-2−42420000000000022−2222−22−22−220000000000000000000000000000000000000000000

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