Finite Group Databasebeta

← Group #11870386

Character table — Group #11870386

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666663446668812121212412121212121224242424242424242244444466121212121212121222442468812121212122424242444886124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-111-1-111-1-1111111-1-1-1-11-1-11-1111-1-111-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-11-11-1-111-1-111111111-1-1-1-1-111-11-1-1-111-1-111-1-1-1-1-11-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-11-1-111111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-111-1-1-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1
χ10111111111111111-1-1111111111-1-1-1-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-111-1-1-111
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-11-11-111-1-1-1-11111-1-11-11
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-111-1-1-1-11-1-1-111-1-111-1-11111111-1-1
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-111-1-1-1-1-1111-1-111-1-111-1-11111-11-1
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-111-111111111-1-1-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200000-2-20000000022-2-2000022-2-2000000-2-22200200-2000000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-2000000002-2-220000222200000022-2-200-200-2000000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-200000000-222-20000-2-2-2-200000022-2-2002002000000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-200000000-2-2220000-2-222000000-2-22200-2002000000000000000
χ2122222-1222-1-12-12-122-1-1-122-12-12222-1-1-1-122-1-1-1-1-1-120202200-1-100-12-1-1-1-1000020020-1-1-100-1-1000000-100
χ2222222-1222-1-12-12-122-1-1-122-12-12222-1-1-1-122-1-1-1-1-1-1-20-20-2-2001100-12-1-1-1-10000-200-201110011000000100
χ2322222-1222-1-12-12-122-1-1-1-2-2-12-12-222-1-1-1-1-2-211111120202200-1-1001-2-1-1110000-200-20-1-1-10011000000100
χ2422222-1222-1-12-12-122-1-1-1-2-2-12-12-222-1-1-1-1-2-2111111-20-20-2-20011001-2-1-11100002002011100-1-1000000-100
χ2522222-1222-1-12-12-1-2-2-1-1-122-12-12-2-2-211-1-122-1-1-1-1-1-12020-2-200-1-1001-211110000-20020-11100-1-1000000100
χ2622222-1222-1-12-12-1-2-2-1-1-122-12-12-2-2-211-1-122-1-1-1-1-1-1-20-20220011001-211110000200-201-1-10011000000-100
χ2722222-1222-1-12-12-1-2-2-1-1-1-2-2-12-122-2-211-1-1-2-21111112020-2-200-1-100-1211-1-10000200-20-1110011000000-100
χ2822222-1222-1-12-12-1-2-2-1-1-1-2-2-12-122-2-211-1-1-2-2111111-20-2022001100-1211-1-10000-200201-1-100-1-1000000100
χ292222-1222-122-12-1-122-1-1-1222-12-12-1-122-1-1-1-122-1-1-1-10202002200-1-12-1-1-1-1-1000002-102000-1-100-1-100000-10
χ302222-1222-122-12-1-122-1-1-1222-12-12-1-122-1-1-1-122-1-1-1-10-20-200-2-200112-1-1-1-1-100000-210-20001100110000010
χ312222-1222-122-12-1-122-1-1-1-2-22-12-1-2-1-122-1-111-2-211110202002200-1-1-21-1-11100000-2-10-2000-1-100110000010
χ322222-1222-122-12-1-122-1-1-1-2-22-12-1-2-1-122-1-111-2-211110-20-200-2-20011-21-1-1110000021020001100-1-100000-10
χ332222-1222-122-12-1-1-2-2-1-1-1222-12-1-211-2-2-1-1-1-122-1-1-1-1020200-2-200-1-1-21111100000-2-1020001100-1-10000010
χ342222-1222-122-12-1-1-2-2-1-1-1222-12-1-211-2-2-1-1-1-122-1-1-1-10-20-200220011-21111100000210-2000-1-1001100000-10
χ352222-1222-122-12-1-1-2-2-1-1-1-2-22-12-1211-2-2-1-111-2-21111020200-2-200-1-12-111-1-1000002-10-200011001100000-10
χ362222-1222-122-12-1-1-2-2-1-1-1-2-22-12-1211-2-2-1-111-2-211110-20-2002200112-111-1-100000-2102000-1-100-1-10000010
χ3722-2-2222-2-2-22-2-222002-2-200-2-222000002-20000000000002i−2i2i−2i00000000002-22-20000002i−2i2i−2i00000000000
χ3822-2-2222-2-2-22-2-222002-2-200-2-222000002-20000000000002i−2i−2i2i0000000000-22-220000002i−2i−2i2i00000000000
χ3922-2-2222-2-2-22-2-222002-2-200-2-222000002-2000000000000−2i2i2i−2i0000000000-22-22000000−2i2i2i−2i00000000000
χ4022-2-2222-2-2-22-2-222002-2-200-2-222000002-2000000000000−2i2i−2i2i00000000002-22-2000000−2i2i−2i2i00000000000
χ4122-2-222-22-2-22-2-2222i−2i2-2-20022-2-202i−2i2i−2i-2200000000000000000000002i−2i002-2-22000000000000002i−2i00000
χ4222-2-222-22-2-22-2-2222i−2i2-2-20022-2-202i−2i2i−2i-2200000000000000000000002i−2i00-222-200000000000000−2i2i00000
χ4322-2-222-22-2-22-2-222−2i2i2-2-20022-2-20−2i2i−2i2i-220000000000000000000000−2i2i002-2-2200000000000000−2i2i00000
χ4422-2-222-22-2-22-2-222−2i2i2-2-20022-2-20−2i2i−2i2i-220000000000000000000000−2i2i00-222-2000000000000002i−2i00000
χ4544444-2-4-44-2-24-24-200-2-2-2002-42-400000220000000040-400000-2-2000000000000000002000000000000000
χ4644444-2-4-44-2-24-24-200-2-2-2002-42-4000002200000000-404000002200000000000000000-2000000000000000
χ474444-24-4-4-244-24-2-200-2-2-200-42-42000002200000000040-400000022000000000000-2000000000000000000
χ484444-24-4-4-244-24-2-200-2-2-200-42-420000022000000000-404000000-2-20000000000002000000000000000000
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
χ5344-4-44-24-4-42-2-424-200-222002-4-2400000-220000000000004i−4i0000000000000000000000−2i2i0000000000000
χ5444-4-44-24-4-42-2-424-200-222002-4-2400000-22000000000000−4i4i00000000000000000000002i−2i0000000000000
χ5544-4-44-2-44-42-2-424-24i−4i-22200-242-404i−4i−2i2i2-20000000000000000000000−2i2i000000000000000000000000000
χ5644-4-44-2-44-42-2-424-2−4i4i-22200-242-40−4i4i2i−2i2-200000000000000000000002i−2i000000000000000000000000000
χ5744-4-4-244-42-442-4-2-200-22200-424-200000-22000000000000004i−4i0000000000000000000000−2i2i00000000000
χ5844-4-4-244-42-442-4-2-200-22200-424-200000-2200000000000000−4i4i00000000000000000000002i−2i00000000000
χ5944-4-4-24-442-442-4-2-24i−4i-222004-2-420−2i2i4i−4i2-20000000000000000000000−2i2i000000000000000000000000000
χ6044-4-4-24-442-442-4-2-2−4i4i-222004-2-4202i−2i−4i4i2-200000000000000000000002i−2i000000000000000000000000000
χ6144-4-4-2-2-4422-222-214i−4i1-1-100-2-2220−2i2i−2i2i-11000033-3-300000000000000i−i3i−3i0000000000000000000000000
χ6244-4-4-2-2-4422-222-214i−4i1-1-100-2-2220−2i2i−2i2i-110000-3-33300000000000000i−i−3i3i0000000000000000000000000
χ6344-4-4-2-2-4422-222-21−4i4i1-1-100-2-22202i−2i2i−2i-11000033-3-300000000000000−ii−3i3i0000000000000000000000000
χ6444-4-4-2-2-4422-222-21−4i4i1-1-100-2-22202i−2i2i−2i-110000-3-33300000000000000−ii3i−3i0000000000000000000000000
χ654-44-444004-4-4-44-4400-44-400000000000000000000000000000000000000000000000000000000000−2i22i2000
χ664-44-444004-4-4-44-4400-44-4000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ674-4-444400-44-44-4-4400-4-44−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ684-4-444400-44-44-4-4400-4-442i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ694-4-444-200-4-2242-4-20022-2−2i22i200000000000−2i22i2i2−i2i2−i2i2−i200000000−2i32i300000000000000000000006−6000000000
χ704-4-444-200-4-2242-4-20022-2−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000002i3−2i30000000000000000000000−66000000000
χ714-4-444-200-4-2242-4-20022-22i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i200000000−2i32i30000000000000000000000−66000000000
χ724-4-444-200-4-2242-4-20022-22i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000002i3−2i300000000000000000000006−6000000000
χ734-4-44-240024-4-2-42-20022-2−2i22i200000000000i2−i2−2i22i2i2−i2i2−i2000000000023−230000000000000000000000i6−i60000000
χ744-4-44-240024-4-2-42-20022-2−2i22i200000000000i2−i2−2i22i2i2−i2i2−i20000000000−23230000000000000000000000−i6i60000000
χ754-4-44-240024-4-2-42-20022-22i2−2i200000000000−i2i22i2−2i2−i2i2−i2i2000000000023−230000000000000000000000−i6i60000000
χ764-4-44-240024-4-2-42-20022-22i2−2i200000000000−i2i22i2−2i2−i2i2−i2i20000000000−23230000000000000000000000i6−i60000000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-844-444-42002-2-20044-4-4000002-2000000000000000000000000000000000000000000000000000
χ798-88-88-400844-8-4-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ808-88-8-4800-4-8-8484-4004-440000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-400-4444-44200-22-200000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000000
χ828-88-8-4-400-4444-44200-22-2000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000000
χ838-8-88-4-4004-44-444200-2-22−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ848-8-88-4-4004-44-444200-2-224i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000

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