Finite Group Databasebeta

← Group #11869469

Character table — Group #11869469

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122223366666666664444444424661212121212128888222226666666666664444444424661212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111-111111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-11111-111111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1
χ61111-111111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-1111111-111111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111
χ71111-111111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-1111111-111111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111
χ81111-111111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-11111-111111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ102222-222222222-2-2-2-2000022-2-2000000000000002222-222222222-2-2-2-2000022-2-200000000000000
χ1122-2-2022-22-22-2-2000000002i−2i0000000000002−2−i2i222-2-2022-22-22-2-2000000002i−2i0000000000002−2−i2i2
χ1222-2-2022-22-22-2-2000000002i−2i000000000000−22i2−i222-2-2022-22-22-2-2000000002i−2i000000000000−22i2−i2
χ1322-2-2022-22-22-2-200000000−2i2i0000000000002−2i2−i222-2-2022-22-22-2-200000000−2i2i0000000000002−2i2−i2
χ1422-2-2022-22-22-2-200000000−2i2i000000000000−22−i2i222-2-2022-22-22-2-200000000−2i2i000000000000−22−i2i2
χ152-2-220222-22-2-2-20000002i−2i002-20000002i−2i0000002-2-220222-22-2-2-20000002i−2i002-20000002i−2i000000
χ162-2-220222-22-2-2-2000000−2i2i002-2000000−2i2i0000002-2-220222-22-2-2-2000000−2i2i002-2000000−2i2i000000
χ172-2-220222-22-2-2-200002i−2i0000-2200002i−2i000000002-2-220222-22-2-2-200002i−2i0000-2200002i−2i00000000
χ182-2-220222-22-2-2-20000−2i2i0000-220000−2i2i000000002-2-220222-22-2-2-20000−2i2i0000-220000−2i2i00000000
χ19444441-21-2-211-211-2-2222200000000-1-1-1-1000000444441-21-2-211-211-2-2222200000000-1-1-1-1000000
χ20444441-21-2-211-211-2-2-2-2-2-2000000001111000000444441-21-2-211-211-2-2-2-2-2-2000000001111000000
χ2144444-21-211-2-21-2-2110000000022-1-10000-1-1000044444-21-211-2-21-2-2110000000022-1-10000-1-10000
χ2244444-21-211-2-21-2-21100000000-2-211000011000044444-21-211-2-21-2-21100000000-2-2110000110000
χ234444-41-21-2-211-2-1-12222-2-200000000-1-1110000004444-41-21-2-211-2-1-12222-2-200000000-1-111000000
χ244444-41-21-2-211-2-1-122-2-2220000000011-1-10000004444-41-21-2-211-2-1-122-2-2220000000011-1-1000000
χ254444-4-21-211-2-2122-1-1000000002-2-1-100001100004444-4-21-211-2-2122-1-1000000002-2-1-10000110000
χ264444-4-21-211-2-2122-1-100000000-22110000-1-100004444-4-21-211-2-2122-1-100000000-22110000-1-10000
χ274-44-4044-4-4-4-444000000000000000000000000004-44-4044-4-4-4-44400000000000000000000000000
χ284-44-40-212-1-12-21003-30000000000−i3i30000−i3i300004-44-40-212-1-12-21003-30000000000−i3i30000−i3i30000
χ294-44-40-212-1-12-21003-30000000000i3−i30000i3−i300004-44-40-212-1-12-21003-30000000000i3−i30000i3−i30000
χ304-44-40-212-1-12-2100-330000000000−i3i30000i3−i300004-44-40-212-1-12-2100-330000000000−i3i30000i3−i30000
χ314-44-40-212-1-12-2100-330000000000i3−i30000−i3i300004-44-40-212-1-12-2100-330000000000i3−i30000−i3i30000
χ324-4-4401-212-2-1-123-3002i−2i2i−2i00000000−ii−ii0000004-4-4401-212-2-1-123-3002i−2i2i−2i00000000−ii−ii000000
χ334-4-4401-212-2-1-123-300−2i2i−2i2i00000000i−ii−i0000004-4-4401-212-2-1-123-300−2i2i−2i2i00000000i−ii−i000000
χ344-4-4401-212-2-1-12-33002i−2i−2i2i00000000−iii−i0000004-4-4401-212-2-1-12-33002i−2i−2i2i00000000−iii−i000000
χ354-4-4401-212-2-1-12-3300−2i2i2i−2i00000000i−i−ii0000004-4-4401-212-2-1-12-3300−2i2i2i−2i00000000i−i−ii000000
χ3688-8-802-4-2-442-240000000000000000000000000088-8-802-4-2-442-2400000000000000000000000000
χ3788-8-80-4242-2-44-20000000000000000000000000088-8-80-4242-2-44-200000000000000000000000000
χ388-88-802-4-244-22-4000000000000000000000000008-88-802-4-244-22-400000000000000000000000000
χ398-8-880-42-4-2244-2000000000000000000000000008-8-880-42-4-2244-200000000000000000000000000
χ40111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ4211111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111
χ4311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ441111-111111111-1-1-1-111-1-1-1-1111-11111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-11-1-1-1-11111-1-111
χ451111-111111111-1-1-1-111-1-1-1-111-11-1-111-1-111-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-11-111-1-111-1-111-1-1
χ461111-111111111-1-1-1-1-1-111-1-1111-111-1-111-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111-1-1-11-1-111-1-11111-1-1
χ471111-111111111-1-1-1-1-1-111-1-111-11-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111-1-11-11111-1-1-1-1-1-111
χ48222222222222222220000-2-2-2-200000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222200000000000000
χ492222-222222222-2-2-2-2000022-2-200000000000000-2-2-2-22-2-2-2-2-2-2-2-222220000-2-22200000000000000
χ5022-2-2022-22-22-2-2000000002i−2i0000000000002−2−i2i2-2-2220-2-22-22-22200000000−2i2i000000000000−22i2−i2
χ5122-2-2022-22-22-2-2000000002i−2i000000000000−22i2−i2-2-2220-2-22-22-22200000000−2i2i0000000000002−2−i2i2
χ5222-2-2022-22-22-2-200000000−2i2i0000000000002−2i2−i2-2-2220-2-22-22-222000000002i−2i000000000000−22−i2i2
χ5322-2-2022-22-22-2-200000000−2i2i000000000000−22−i2i2-2-2220-2-22-22-222000000002i−2i0000000000002−2i2−i2
χ542-2-220222-22-2-2-20000002i−2i002-20000002i−2i000000-222-20-2-2-22-2222000000−2i2i00-22000000−2i2i000000
χ552-2-220222-22-2-2-2000000−2i2i002-2000000−2i2i000000-222-20-2-2-22-22220000002i−2i00-220000002i−2i000000
χ562-2-220222-22-2-2-200002i−2i0000-2200002i−2i00000000-222-20-2-2-22-22220000−2i2i00002-20000−2i2i00000000
χ572-2-220222-22-2-2-20000−2i2i0000-220000−2i2i00000000-222-20-2-2-22-222200002i−2i00002-200002i−2i00000000
χ58444441-21-2-211-211-2-2222200000000-1-1-1-1000000-4-4-4-4-4-12-122-1-12-1-122-2-2-2-2000000001111000000
χ59444441-21-2-211-211-2-2-2-2-2-2000000001111000000-4-4-4-4-4-12-122-1-12-1-122222200000000-1-1-1-1000000
χ6044444-21-211-2-21-2-2110000000022-1-10000-1-10000-4-4-4-4-42-12-1-122-122-1-100000000-2-2110000110000
χ6144444-21-211-2-21-2-21100000000-2-2110000110000-4-4-4-4-42-12-1-122-122-1-10000000022-1-10000-1-10000
χ624444-41-21-2-211-2-1-12222-2-200000000-1-111000000-4-4-4-44-12-122-1-1211-2-2-2-2220000000011-1-1000000
χ634444-41-21-2-211-2-1-122-2-2220000000011-1-1000000-4-4-4-44-12-122-1-1211-2-222-2-200000000-1-111000000
χ644444-4-21-211-2-2122-1-1000000002-2-1-10000110000-4-4-4-442-12-1-122-1-2-21100000000-22110000-1-10000
χ654444-4-21-211-2-2122-1-100000000-22110000-1-10000-4-4-4-442-12-1-122-1-2-211000000002-2-1-10000110000
χ664-44-4044-4-4-4-44400000000000000000000000000-44-440-4-44444-4-400000000000000000000000000
χ674-44-40-212-1-12-21003-30000000000−i3i30000−i3i30000-44-4402-1-211-22-100-330000000000i3−i30000i3−i30000
χ684-44-40-212-1-12-21003-30000000000i3−i30000i3−i30000-44-4402-1-211-22-100-330000000000−i3i30000−i3i30000
χ694-44-40-212-1-12-2100-330000000000−i3i30000i3−i30000-44-4402-1-211-22-1003-30000000000i3−i30000−i3i30000
χ704-44-40-212-1-12-2100-330000000000i3−i30000−i3i30000-44-4402-1-211-22-1003-30000000000−i3i30000i3−i30000
χ714-4-4401-212-2-1-123-3002i−2i2i−2i00000000−ii−ii000000-444-40-12-1-2211-2-3300−2i2i−2i2i00000000i−ii−i000000
χ724-4-4401-212-2-1-123-300−2i2i−2i2i00000000i−ii−i000000-444-40-12-1-2211-2-33002i−2i2i−2i00000000−ii−ii000000
χ734-4-4401-212-2-1-12-33002i−2i−2i2i00000000−iii−i000000-444-40-12-1-2211-23-300−2i2i2i−2i00000000i−i−ii000000
χ744-4-4401-212-2-1-12-3300−2i2i2i−2i00000000i−i−ii000000-444-40-12-1-2211-23-3002i−2i−2i2i00000000−iii−i000000
χ7588-8-802-4-2-442-2400000000000000000000000000-8-8880-2424-4-22-400000000000000000000000000
χ7688-8-80-4242-2-44-200000000000000000000000000-8-88804-2-4-224-4200000000000000000000000000
χ778-88-802-4-244-22-400000000000000000000000000-88-880-242-4-42-2400000000000000000000000000
χ788-8-880-42-4-2244-200000000000000000000000000-888-804-242-2-4-4200000000000000000000000000

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