Finite Group Databasebeta

← Group #11922205

Character table — Group #11922205

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11222444466123366612121212181836661212122424242436367266121212242424243636728816161632323232484896
order1234641212128842264641212128842264641212128844412412412121288436312612121212242412
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-111111-11-1-111-1
χ411111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-1111111-11-1-1-1-11
χ5222-220-200000222-220-200000222-220-200000222-220-200000222-220-200000
χ622-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-100022-12-12-1-1-1000
χ722-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-11100022-12-1-2-111000
χ822-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i300022-1-2-101−i3i3000
χ922-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i300022-1-2-101i3−i3000
χ102-220-200002−202-220-200002−202-220-200002−202-220-200002−202-220-200002−20
χ112-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−2202-220-20000−220
χ124-4-20200000004-4-20200000004-4-20200000004-4-20200000004-4-2020000000
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ14111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1
χ1511111-11-1-111-111111-11-1-111-1-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-1111111-11-1-111-1
χ1611111-11-1-1-1-1111111-11-1-1-1-11-1-1-1-1-11-11111-1-1-1-1-1-11-11111-111111-11-1-1-1-11
χ17222-220-200000222-220-200000-2-2-22-20200000-2-2-22-20200000222-220-200000
χ1822-12-12-1-1-100022-12-12-1-1-1000-2-21-21-2111000-2-21-21-211100022-12-12-1-1-1000
χ1922-12-1-2-11100022-12-1-2-111000-2-21-2121-1-1000-2-21-2121-1-100022-12-1-2-111000
χ2022-1-2-101−i3i300022-1-2-101−i3i3000-2-21210-1i3−i3000-2-21210-1i3−i300022-1-2-101−i3i3000
χ2122-1-2-101i3−i300022-1-2-101i3−i3000-2-21210-1−i3i3000-2-21210-1−i3i300022-1-2-101i3−i3000
χ222-220-200002−202-220-200002−20-22-2020000−220-22-2020000−2202-220-200002−20
χ232-220-20000−2202-220-20000−220-22-20200002−20-22-20200002−202-220-20000−220
χ244-4-20200000004-4-2020000000-4420-20000000-4420-200000004-4-2020000000
χ25222222222222222222222222000000000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1
χ26222222222-2-2-2222222222-2-2-2000000000000000000000000-1-1-1-1-1-1-1-1-1111
χ2722222-22-2-222-222222-22-2-222-2000000000000000000000000-1-1-1-1-11-111-1-11
χ2822222-22-2-2-2-2222222-22-2-2-2-22000000000000000000000000-1-1-1-1-11-11111-1
χ29444-440-400000444-440-400000000000000000000000000000-2-2-22-20200000
χ3044-24-24-2-2-200044-24-24-2-2-2000000000000000000000000000-2-21-21-2111000
χ3144-24-2-4-22200044-24-2-4-222000000000000000000000000000-2-21-2121-1-1000
χ3244-2-4-202−2i32i300044-2-4-202−2i32i3000000000000000000000000000-2-21210-1i3−i3000
χ3344-2-4-2022i3−2i300044-2-4-2022i3−2i3000000000000000000000000000-2-21210-1−i3i3000
χ344-440-4000022−2204-440-4000022−220000000000000000000000000-22-2020000−220
χ354-440-40000−222204-440-40000−22220000000000000000000000000-22-20200002−20
χ368-8-40400000008-8-4040000000000000000000000000000000-4420-20000000
χ37333333333333-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ38333333333-3-3-3-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111000000000000
χ3933333-33-3-333-3-1-1-1-1-11-111-1-1111111-11-1-111-1-1-1-1-1-11-111-1-11000000000000
χ4033333-33-3-3-3-33-1-1-1-1-11-11111-111111-11-1-1-1-11-1-1-1-1-11-11111-1000000000000
χ41666-660-600000-2-2-22-20200000222-220-200000-2-2-22-20200000000000000000
χ4266-36-36-3-3-3000-2-21-21-211100022-12-12-1-1-1000-2-21-21-2111000000000000000
χ4366-36-3-6-333000-2-21-2121-1-100022-12-1-2-111000-2-21-2121-1-1000000000000000
χ4466-3-6-303−3i33i3000-2-21210-1i3−i300022-1-2-101−i3i3000-2-21210-1i3−i3000000000000000
χ4566-3-6-3033i3−3i3000-2-21210-1−i3i300022-1-2-101i3−i3000-2-21210-1−i3i3000000000000000
χ466-660-6000032−320-22-2020000−2202-220-200002−20-22-2020000−220000000000000
χ476-660-60000−32320-22-20200002−202-220-20000−220-22-20200002−20000000000000
χ4812-12-6060000000-4420-200000004-4-2020000000-4420-20000000000000000000
χ49333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000
χ50333333333-3-3-3-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111111111-1-1-1000000000000
χ5133333-33-3-333-3-1-1-1-1-11-111-1-11-1-1-1-1-11-111-1-1111111-11-1-111-1000000000000
χ5233333-33-3-3-3-33-1-1-1-1-11-11111-1-1-1-1-1-11-11111-111111-11-1-1-1-11000000000000
χ53666-660-600000-2-2-22-20200000-2-2-22-20200000222-220-200000000000000000
χ5466-36-36-3-3-3000-2-21-21-2111000-2-21-21-211100022-12-12-1-1-1000000000000000
χ5566-36-3-6-333000-2-21-2121-1-1000-2-21-2121-1-100022-12-1-2-111000000000000000
χ5666-3-6-303−3i33i3000-2-21210-1i3−i3000-2-21210-1i3−i300022-1-2-101−i3i3000000000000000
χ5766-3-6-3033i3−3i3000-2-21210-1−i3i3000-2-21210-1−i3i300022-1-2-101i3−i3000000000000000
χ586-660-6000032−320-22-2020000−220-22-2020000−2202-220-200002−20000000000000
χ596-660-60000−32320-22-20200002−20-22-20200002−202-220-20000−220000000000000
χ6012-12-6060000000-4420-20000000-4420-200000004-4-2020000000000000000000

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