Finite Group Databasebeta

← Group #11882245

Character table — Group #11882245

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222222222244444444446666888888888888888812121212121212121212161616161616181818182424242424242424242424242424363648487272
order1222334466666636668812121212444424661212121224242424242424244488881212121266612121222442444121212121212242424248861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-111-1-111-1-1111111-1-1-1-11-11-1-1111-1-111-1-1-1-11-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-1-1-1-1111
χ5111111111111111111111111-1-1111111111111111111-11-1-111-1-111111111-1-1-1-1-11-111-1-1-111-1-111-1-1-11-1-1
χ6111111111111111111111111-1-111-1-1-1-1-1-11111111111-11-1-111-1-111-1-1-1-1-1-1-1-1-1-11-11-11-111-1-1-1-111-1-11-111
χ7111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ9111111111111111111-1-1111111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-111111-1-1111-1-111-1-1-1-1-1-11-11-1
χ10111111111111111111-1-111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-11111111-111-11111-1-1-1-1-1-1-1-1-11-11
χ11111111111111111111-1-1111111-1-11-111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-1111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1111111-11
χ12111111111111111111-1-1111111-1-1-11-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111-111111-1-11111-1-11-1
χ13111111111111111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-1-1-1111-1111111-1-111-1-1-11
χ14111111111111111111-1-11111-1-111-11-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1111-1-1-1-111-1-11-1-1-1-1-111-1-111111-1
χ15111111111111111111-1-11111-1-1-1-11-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-111-1-1-111-1-11111-1-1-111-1
χ16111111111111111111-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111-1-11-1-1-1-1111111-1-11-1-11
χ17222222-2-2222222222200-2-2-2-22222000000-2-200000000-2-20000222200000022-2-20000-2-200000000000000
χ18222222-2-2222222222200-2-2-2-222-2-2000000-2-200000000-22000022-2-2000000-2-22200002-200000000000000
χ19222222-2-2222222222200-2-2-2-2-2-222000000-2-2000000002-20000-2-222000000-2-2220000-2200000000000000
χ20222222-2-2222222222200-2-2-2-2-2-2-2-2000000-2-200000000220000-2-2-2-200000022-2-200002200000000000000
χ2122222-1222-1-122-1-1-1-1-122-12-1222002222-1-1-1-122-1-1-1-1-1-1202200-1-100-1-1-12-1-1000020200-1-1-100-1-10000-1000
χ2222222-1222-1-122-1-1-1-1-122-12-122200-2-2-2-211-1-122-1-1-1-1-1-1202200-1-100111-2110000-20-200-11100-1-100001000
χ2322222-1222-1-122-1-1-1-1-122-12-12-2-2002222-1-1-1-122-1-1-1-1-1-1-20-2-2001100-1-1-12-1-10000-20-200111001100001000
χ2422222-1222-1-122-1-1-1-1-122-12-12-2-200-2-2-2-211-1-122-1-1-1-1-1-1-20-2-2001100111-2110000202001-1-100110000-1000
χ2522222-1222-1-122-1-1-1-1-1-2-2-12-1222002-22211-1-1-2-211111120-2-200-1-100-1-1-1-211000020-200-11100110000-1000
χ2622222-1222-1-122-1-1-1-1-1-2-2-12-122200-22-2-2-1-1-1-1-2-211111120-2-200-1-1001112-1-10000-20200-1-1-1001100001000
χ2722222-1222-1-122-1-1-1-1-1-2-2-12-12-2-2002-22211-1-1-2-2111111-2022001100-1-1-1-2110000-202001-1-100-1-100001000
χ2822222-1222-1-122-1-1-1-1-1-2-2-12-12-2-200-22-2-2-1-1-1-1-2-2111111-20220011001112-1-1000020-20011100-1-10000-1000
χ292222-1222-122-1-12-1-1-1-1222-12-1002222-1-122-1-1-1-122-1-1-1-102002200-1-12-1-1-1-1-100000202-1000-1-100-1-1000-100
χ302222-1222-122-1-12-1-1-1-1222-12-10022-2-211-2-2-1-1-1-122-1-1-1-102002200-1-1-21111100000-20-2-10001100-1-1000100
χ312222-1222-122-1-12-1-1-1-1222-12-100-2-222-1-122-1-1-1-122-1-1-1-10-200-2-200112-1-1-1-1-100000-20-21000110011000100
χ322222-1222-122-1-12-1-1-1-1222-12-100-2-2-2-211-2-2-1-1-1-122-1-1-1-10-200-2-20011-211111000002021000-1-10011000-100
χ332222-1222-122-1-12-1-1-1-1-2-22-12-100222-2-1-1-2-2-1-111-2-211110200-2-200-1-12-1-111100000-202-1000-1-10011000100
χ342222-1222-122-1-12-1-1-1-1-2-22-12-10022-221122-1-111-2-211110200-2-200-1-1-211-1-1-10000020-2-1000110011000-100
χ352222-1222-122-1-12-1-1-1-1-2-22-12-100-2-22-2-1-1-2-2-1-111-2-211110-2002200112-1-11110000020-210001100-1-1000-100
χ362222-1222-122-1-12-1-1-1-1-2-22-12-100-2-2-221122-1-111-2-211110-200220011-211-1-1-100000-2021000-1-100-1-1000100
χ372-22-22200-22-22-2-222-2-2−i2i200002-22-200000000−i2i2−i2i2−i2−i2i2i200−i2i2−i2i22-22-20000002-2000000000000−i2i2−i2i2−i2i20000
χ382-22-22200-22-22-2-222-2-2−i2i200002-2-2200000000−i2i2−i2i2−i2−i2i2i200−i2i2i2−i22-2-22000000-22000000000000−i2i2i2−i2i2−i20000
χ392-22-22200-22-22-2-222-2-2−i2i20000-222-200000000−i2i2−i2i2−i2−i2i2i200i2−i2−i2i2-222-2000000-22000000000000i2−i2−i2i2i2−i20000
χ402-22-22200-22-22-2-222-2-2−i2i20000-22-2200000000−i2i2−i2i2−i2−i2i2i200i2−i2i2−i2-22-220000002-2000000000000i2−i2i2−i2−i2i20000
χ412-22-22200-22-22-2-222-2-2i2−i200002-22-200000000i2−i2i2−i2i2i2−i2−i200i2−i2i2−i22-22-20000002-2000000000000i2−i2i2−i2i2−i20000
χ422-22-22200-22-22-2-222-2-2i2−i200002-2-2200000000i2−i2i2−i2i2i2−i2−i200i2−i2−i2i22-2-22000000-22000000000000i2−i2−i2i2−i2i20000
χ432-22-22200-22-22-2-222-2-2i2−i20000-222-200000000i2−i2i2−i2i2i2−i2−i200−i2i2i2−i2-222-2000000-22000000000000−i2i2i2−i2−i2i20000
χ442-22-22200-22-22-2-222-2-2i2−i20000-22-2200000000i2−i2i2−i2i2i2−i2−i200−i2i2−i2i2-22-220000002-2000000000000−i2i2−i2i2i2−i20000
χ4544444-2-4-44-2-244-2-2-2-2-2002-42-444000000002200000000-400000-2-200000000000000000200000000000000
χ4644444-2-4-44-2-244-2-2-2-2-2002-42-4-4-40000000022000000004000002200000000000000000-200000000000000
χ474444-24-4-4-244-2-24-2-2-2-200-42-42004400000022000000000-4000000-2-2000000000000002000000000000000
χ484444-24-4-4-244-2-24-2-2-2-200-42-4200-4-40000002200000000040000002200000000000000-2000000000000000
χ494444-2-244-2-2-2-2-2-2111144-2-2-2-2000044-2-2-2-211-2-2-2-211110000000000-211-211000000000000000000000000
χ504444-2-244-2-2-2-2-2-2111144-2-2-2-20000-4-4222211-2-2-2-2111100000000002-1-12-1-1000000000000000000000000
χ514444-2-244-2-2-2-2-2-21111-4-4-2-2-2-200004-4-2-222112222-1-1-1-10000000000-2112-1-1000000000000000000000000
χ524444-2-244-2-2-2-2-2-21111-4-4-2-2-2-20000-4422-2-2112222-1-1-1-100000000002-1-1-211000000000000000000000000
χ5344-4-4444-4-4-44-44-44-4-440044-4-400000000004-4000000000000000000000000000000000000000000000000
χ5444-4-444-44-4-44-44-44-4-4400-4-4440000000000-44000000000000000000000000000000000000000000000000
χ5544-4-44-24-4-42-2-442-222-200-242-40000000000-22000000000000000000000000000000000023−23000000000000
χ5644-4-44-24-4-42-2-442-222-200-242-40000000000-220000000000000000000000000000000000−2323000000000000
χ5744-4-44-2-44-42-2-442-222-2002-4-2400000000−2i32i32-20000000000000000000000−2i32i3000000000000000000000000
χ5844-4-44-2-44-42-2-442-222-2002-4-24000000002i3−2i32-200000000000000000000002i3−2i3000000000000000000000000
χ5944-4-4-244-42-442-2-4-222-2004-2-420000000000-2200000000000000000000000000000000000023−230000000000
χ6044-4-4-244-42-442-2-4-222-2004-2-420000000000-22000000000000000000000000000000000000−23230000000000
χ6144-4-4-24-442-442-2-4-222-200-424-2000000−2i32i3002-20000000000000000000−2i32i3000000000000000000000000000
χ6244-4-4-24-442-442-2-4-222-200-424-20000002i3−2i3002-200000000000000000002i3−2i3000000000000000000000000000
χ6344-4-4-2-2-4422-22-221-1-110022-2-2000000−2i32i3−2i32i3-1100003-33-300000000000i3−i30i3−i3000000000000000000000000
χ6444-4-4-2-2-4422-22-221-1-110022-2-2000000−2i32i32i3−2i3-110000-33-3300000000000i3−i30−i3i3000000000000000000000000
χ6544-4-4-2-2-4422-22-221-1-110022-2-20000002i3−2i3−2i32i3-110000-33-3300000000000−i3i30i3−i3000000000000000000000000
χ6644-4-4-2-2-4422-22-221-1-110022-2-20000002i3−2i32i3−2i3-1100003-33-300000000000−i3i30−i3i3000000000000000000000000
χ674-44-44-200-4-224-42-2-222−2i22i200004-40000000000−2i22i2i2−i2i2i2−i2−i200−2i22i200-220000000000000000000000i2−i200000000
χ684-44-44-200-4-224-42-2-222−2i22i20000-440000000000−2i22i2i2−i2i2i2−i2−i2002i2−2i2002-20000000000000000000000−i2i200000000
χ694-44-44-200-4-224-42-2-2222i2−2i200004-400000000002i2−2i2−i2i2−i2−i2i2i2002i2−2i200-220000000000000000000000−i2i200000000
χ704-44-44-200-4-224-42-2-2222i2−2i20000-4400000000002i2−2i2−i2i2−i2−i2i2i200−2i22i2002-20000000000000000000000i2−i200000000
χ714-44-4-240024-4-22-4-2-222−2i22i20000004-400000000i2−i2−2i22i2i2i2−i2−i20000−2i22i200-220000000000000000000000i2−i2000000
χ724-44-4-240024-4-22-4-2-222−2i22i2000000-4400000000i2−i2−2i22i2i2i2−i2−i200002i2−2i2002-20000000000000000000000−i2i2000000
χ734-44-4-240024-4-22-4-2-2222i2−2i20000004-400000000−i2i22i2−2i2−i2−i2i2i200002i2−2i200-220000000000000000000000−i2i2000000
χ744-44-4-240024-4-22-4-2-2222i2−2i2000000-4400000000−i2i22i2−2i2−i2−i2i2i20000−2i22i2002-20000000000000000000000i2−i2000000
χ754-4-4444004-4-4-4-444-44-4000000000000000000000000000000000000000000004i−4i00000000000000000000
χ764-4-4444004-4-4-4-444-44-400000000000000000000000000000000000000000000−4i4i00000000000000000000
χ778888-4-4-8-8-4-4-4-4-4-422220044440000000000-2-2000000000000000000000000000000000000000000000000
χ7888-8-8-4-48-844-44-442-2-2200-4-44400000000002-2000000000000000000000000000000000000000000000000
χ798-88-8-4-4004-44-44422-2-2−4i24i200000000000000002i2−2i22i2−2i2−i2−i2i2i20000000000000000000000000000000000000000
χ808-88-8-4-4004-44-44422-2-24i2−4i20000000000000000−2i22i2−2i22i2i2i2−i2−i20000000000000000000000000000000000000000
χ818-8-888-400844-8-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000
χ828-8-88-4800-4-8-8448-44-44000000000000000000000000000000000000000000000000000000000000000000
χ838-8-88-4-400-44444-42-22-20000000000000000000000−3i23i23i2−3i20000000000000000000000000000000000000000
χ848-8-88-4-400-44444-42-22-200000000000000000000003i2−3i2−3i23i20000000000000000000000000000000000000000

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