Finite Group Databasebeta

← Group #11872200

Character table — Group #11872200

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444444488888888888888812121212121212121212121216161616161618181818242424242424242424242424242436363636484872
order122233446666663446668812121212212121212121224242424242424242224444412121212666612124444446668812121224242424228812124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-11-1-111111111-1-1-1-11-1-1111-11-1-1-1-111-1-1-1-11-1-1
χ311111111111111111111111111111111111111111-1-111-111-111-1-1111111-1-1-1-1-111-1-1-11-11111-1-1-1-1-1-1-11-1
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
χ511111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1111-1-1111-1-1-1-111-1-1-1-1-1
χ611111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-11-111-111-1-111-1-1-1-111-111
χ711111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-111-111-111-1-1-1-1-1-111-1-1-1-11-11-1-11-1-111-1-111-1-1111-11
χ811111111111111111111-1-11111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1111111-1-111-1
χ9111111111111111-1-1111111111-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111-11-1-1-111-1-111-1-11-11
χ10111111111111111-1-1111111111-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-111-1-1-1-1-1-11111-1
χ11111111111111111-1-1111111111-1-1-1-1-11111111111-1-1111-1-111111-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-111-1-1-1
χ12111111111111111-1-1111111111-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1111-1-11111-1-1-111
χ13111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-11-1
χ14111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-11111-1-1-11111-1111111-1-1-1-1-1-11
χ15111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1111
χ16111111111111111-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11-1-1-1-1-1111111-1-111111-1-1
χ17222222-2-222222220022200-2-2-2-200000-2-200000000002-2200-2-2-2-2-2000000-2-222002000020000000000000
χ18222222-2-222222220022200-2-2-2-200000-2-200000000002-2-2002-2-22200000022-2-20020000-20000000000000
χ19222222-2-222222220022200-2-2-2-200000-2-20000000000-22200-222-2-200000022-2-200-2000020000000000000
χ20222222-2-222222220022200-2-2-2-200000-2-20000000000-22-20022222000000-2-22200-20000-20000000000000
χ2122222-122-12-12-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-12200200200-1-12-1-1-1-1-10000200-1-120-10000-1-10000-100
χ2222222-122-12-12-12-122-1-1-122-122-12-1-122-1-122-1-1-1-1-1-1-2-200-200-200112-1-1-1-1-10000-20011-2010000110000100
χ2322222-122-12-12-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-21111112200200200-1-1-2111-1-10000-200-1-1-20-10000110000100
χ2422222-122-12-12-12-122-1-1-1-2-2-122-1-2-1-122-1-1-2-2111111-2-200-200-20011-2111-1-10000200112010000-1-10000-100
χ2522222-122-12-12-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-12200-200-20011-2111110000200-1-1-2010000110000-100
χ2622222-122-12-12-12-1-2-2-1-1-122-122-1-211-2-2-1-122-1-1-1-1-1-1-2-200200200-1-1-2111110000-2001120-10000-1-10000100
χ2722222-122-12-12-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-21111112200-200-200112-1-1-1110000-200-1-12010000-1-10000100
χ2822222-122-12-12-12-1-2-2-1-1-1-2-2-122-1211-2-2-1-1-2-2111111-2-200200200-1-12-1-1-111000020011-20-10000110000-100
χ292222-12222-12-12-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-100220220-1-100-12-1-1-1-1000002-100020-1-1-1-10000000-10
χ302222-12222-12-12-1-122-1-1-1222-1-12222-1-1-1-1-1-122-1-1-1-100-2-20-2-201100-12-1-1-1-100000-21000-201111000000010
χ312222-12222-12-12-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-2111100220220-1-1001-211-1-100000-2-1000-20-1-111000000010
χ322222-12222-12-12-1-122-1-1-1-2-22-1-12-222-1-1-1-111-2-2111100-2-20-2-2011001-211-1-100000210002011-1-10000000-10
χ332222-12222-12-12-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-100220-2-20-1-1001-2111100000-2-10002011-1-1000000010
χ342222-12222-12-12-1-1-2-2-1-1-1222-1-12-2-2-211-1-1-1-122-1-1-1-100-2-2022011001-211110000021000-20-1-1110000000-10
χ352222-12222-12-12-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-2111100220-2-20-1-100-12-1-111000002-1000-2011110000000-10
χ362222-12222-12-12-1-1-2-2-1-1-1-2-22-1-122-2-211-1-111-2-2111100-2-202201100-12-1-11100000-2100020-1-1-1-1000000010
χ3722-2-2222-2-22-2-22-2200-22-200-22-2200000-22000000002-20002i−2i000000000002i−2i2i−2i0002-20002i−2i00000000000
χ3822-2-2222-2-22-2-22-2200-22-200-22-2200000-22000000002-2000−2i2i00000000000−2i2i−2i2i0002-2000−2i2i00000000000
χ3922-2-2222-2-22-2-22-2200-22-200-22-2200000-2200000000-220002i−2i00000000000−2i2i−2i2i000-220002i−2i00000000000
χ4022-2-2222-2-22-2-22-2200-22-200-22-2200000-2200000000-22000−2i2i000000000002i−2i2i−2i000-22000−2i2i00000000000
χ4122-2-222-22-22-2-22-222i−2i-22-2002-22-202i−2i2i−2i2-20000000000000000000000002i−2i2i−2i−2i2i000000000000002-200000
χ4222-2-222-22-22-2-22-222i−2i-22-2002-22-202i−2i2i−2i2-20000000000000000000000002i−2i−2i2i2i−2i00000000000000-2200000
χ4322-2-222-22-22-2-22-22−2i2i-22-2002-22-20−2i2i−2i2i2-2000000000000000000000000−2i2i2i−2i−2i2i00000000000000-2200000
χ4422-2-222-22-22-2-22-22−2i2i-22-2002-22-20−2i2i−2i2i2-2000000000000000000000000−2i2i−2i2i2i−2i000000000000002-200000
χ4544444-2-4-4-24-24-24-200-2-2-2002-4-420000022000000000000400-4002200000000000000000-20000000000000
χ4644444-2-4-4-24-24-24-200-2-2-2002-4-420000022000000000000-400400-2-20000000000000000020000000000000
χ474444-24-4-44-24-24-2-200-2-2-200-422-4000002200000000004-400002200000000000000-2000000000000000000
χ484444-24-4-44-24-24-2-200-2-2-200-422-400000220000000000-440000-2-2000000000000002000000000000000000
χ494444-2-244-2-2-2-2-2-214411144-2-2-2-24-2-2-2-211-2-2-2-21111000000000000-2-211110000000000000000000000000
χ504444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-2-4-2-2-2-2112222-1-1-1-100000000000022-1-1110000000000000000000000000
χ514444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-4222211-2-2-2-2111100000000000022-1-1-1-10000000000000000000000000
χ524444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-242222112222-1-1-1-1000000000000-2-211-1-10000000000000000000000000
χ5344-4-44-24-4242-4-2-4-2002-220024-4-2000002-2000000004-400000000000000000000000-220000000000000000
χ5444-4-44-24-4242-4-2-4-2002-220024-4-2000002-200000000-44000000000000000000000002-20000000000000000
χ5544-4-44-2-44242-4-2-4-24i−4i2-2200-2-4420−2i2i4i−4i-22000000000000000000000000−2i2i0000000000000000000000000
χ5644-4-44-2-44242-4-2-4-2−4i4i2-2200-2-44202i−2i−4i4i-220000000000000000000000002i−2i0000000000000000000000000
χ5744-4-4-244-4-4-2-4242-2002-2200-4-224000002-200000000000004i−4i00000000000000000000000−2i2i00000000000
χ5844-4-4-244-4-4-2-4242-2002-2200-4-224000002-20000000000000−4i4i000000000000000000000002i−2i00000000000
χ5944-4-4-24-44-4-2-4242-24i−4i2-220042-2-404i−4i−2i2i-22000000000000000000000000−2i2i0000000000000000000000000
χ6044-4-4-24-44-4-2-4242-2−4i4i2-220042-2-40−4i4i2i−2i-220000000000000000000000002i−2i0000000000000000000000000
χ6144-4-4-2-2-442-222-2214i−4i-11-100-22-220−2i2i−2i2i1-100003i3i−3i−3i000000000000003-3i−i0000000000000000000000000
χ6244-4-4-2-2-442-222-2214i−4i-11-100-22-220−2i2i−2i2i1-10000−3i−3i3i3i00000000000000-33i−i0000000000000000000000000
χ6344-4-4-2-2-442-222-221−4i4i-11-100-22-2202i−2i2i−2i1-100003i3i−3i−3i00000000000000-33−ii0000000000000000000000000
χ6444-4-4-2-2-442-222-221−4i4i-11-100-22-2202i−2i2i−2i1-10000−3i−3i3i3i000000000000003-3−ii0000000000000000000000000
χ654-44-444004-4-44-4-44004-4-4−2i22i200000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000000000000000000
χ664-44-444004-4-44-4-44004-4-42i2−2i2000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000000000000000000
χ674-44-44-200-2-4242-4-200-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i2000000000023−230000000000000000000000i6−i60000000
χ684-44-44-200-2-4242-4-200-222−2i22i200000000000−2i22i2i2−i2i2−i2i2−i20000000000−23230000000000000000000000−i6i60000000
χ694-44-44-200-2-4242-4-200-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i2000000000023−230000000000000000000000−i6i60000000
χ704-44-44-200-2-4242-4-200-2222i2−2i2000000000002i2−2i2−i2i2−i2i2−i2i20000000000−23230000000000000000000000i6−i60000000
χ714-44-4-240042-4-2-42-200-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i20000000023−230000000000000000000000i6−i6000000000
χ724-44-4-240042-4-2-42-200-222−2i22i200000000000i2−i2−2i22i2i2−i2i2−i200000000−23230000000000000000000000−i6i6000000000
χ734-44-4-240042-4-2-42-200-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i20000000023−230000000000000000000000−i6i6000000000
χ744-44-4-240042-4-2-42-200-2222i2−2i200000000000−i2i22i2−2i2−i2i2−i2i200000000−23230000000000000000000000i6−i6000000000
χ754-4-444400-4-44-4-44400-4-440000000000000000000000000000000000000000000000000000000000022−22000
χ764-4-444400-4-44-4-44400-4-4400000000000000000000000000000000000000000000000000000000000−2222000
χ778888-4-4-8-8-4-4-4-4-4-420022200444400000-2-2000000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-84-444-44200-22-2004-44-400000-22000000000000000000000000000000000000000000000000000
χ798-88-8-4-400-444-4442002-2-2−4i24i2000000000002i2−2i22i2−2i2−i2i2−i2i20000000000000000000000000000000000000000000
χ808-88-8-4-400-444-4442002-2-24i2−4i200000000000−2i22i2−2i22i2i2−i2i2−i20000000000000000000000000000000000000000000
χ818-8-888-4004-8-4-848-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-8484-8-4-40044-40000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-40044-444-4200-2-220000000000000000032−32−32320000000000000000000000000000000000000000000
χ848-8-88-4-40044-444-4200-2-2200000000000000000−323232−320000000000000000000000000000000000000000000

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