Finite Group Databasebeta

← Group #11794614

Character table — Group #11794614

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466666636666666666612121212121212122266666666666666661212121288888888242424242424242424242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ92222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-22-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000
χ102222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ11222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-10000
χ12222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110000
χ13222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-21111111111-1-1-1-1002200-2-200000000-1-1-1-111110000
χ14222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-2-2-2-211-2-21111111111-1-1-1-100-2-20022000000001111-1-1-1-10000
χ15222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2112-222-1-1-2-211-1-1-1-111111111000000000000000033−3−333−3−30000
χ16222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-2112-222-1-1-2-211-1-1-1-1111111110000000000000000−3−333−3−3330000
χ17222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211-22-2-21122-1-11111-1-1-1-11111000000000000000033−3−3−3−3330000
χ18222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-211-2-211-22-2-21122-1-11111-1-1-1-111110000000000000000−3−33333−3−30000
χ1922222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-1000000000000
χ2022222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-12222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011111111000000000000
χ2122222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-2-211-2-211-2-211111111-1-1-1-12200-2-200-1-1-1-11111000000000000
χ2222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-122-1-122-2-211-2-211-2-211111111-1-1-1-1-2-20022001111-1-1-1-1000000000000
χ2322222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-22-2-1-12211-2-2-1-1-1-1111111110000000033−3−333−3−3000000000000
χ2422222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-22-2-1-12211-2-2-1-1-1-11111111100000000−3−333−3−333000000000000
χ2522222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2-2211-2-2-1-1221111-1-1-1-111110000000033−3−3−3−333000000000000
χ2622222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-211-2-2-2211-2-2-1-1221111-1-1-1-1111100000000−3−33333−3−3000000000000
χ27222-2-22222-2-222-2-2222-2-22-222-2-2-2-222-22-22-22-200000000000000000022-2-2000000000000000000000000002i−2i
χ28222-2-22222-2-222-2-2222-2-22-222-2-2-2-222-22-22-22-200000000000000000022-2-200000000000000000000000000−2i2i
χ29222-2-222-2-22222-2-2222-2-22-222-2-2-2-22-22-22-22-22000000000000000000-2-2220000000000000000000000002-200
χ30222-2-222-2-22222-2-2222-2-22-222-2-2-2-22-22-22-22-22000000000000000000-2-222000000000000000000000000-2200
χ3122-22-2222-22-2-2-2222222-2-2-2-2-222-2-22222-2-2-2-220000000000000000002-22-22i−2i0000002i−2i2i−2i0000000000000000
χ3222-22-2222-22-2-2-2222222-2-2-2-2-222-2-22222-2-2-2-220000000000000000002-22-2−2i2i000000−2i2i−2i2i0000000000000000
χ3322-22-222-22-22-2-2222222-2-2-2-2-222-2-22-2-2-22222-2000000000000000000-22-2200002-20000002-22-2000000000000
χ3422-22-222-22-22-2-2222222-2-2-2-2-222-2-22-2-2-22222-2000000000000000000-22-220000-22000000-22-22000000000000
χ3522-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-211-2200−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3-11-112i−2i000000−ii−ii3−3−33000000000000
χ3622-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-211-2200−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3-11-11−2i2i000000i−ii−i−333−3000000000000
χ3722-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-211-2200i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3-11-112i−2i000000−ii−ii−333−3000000000000
χ3822-22-2-122-22-21122-12-1-11-2-211-1-111-1-1-12-211-2200i3−i300i3−i300i3i3−i3−i3i3i3−i3−i3-11-11−2i2i000000i−ii−i3−3−33000000000000
χ3922-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-12-200−i3i300i3−i300−i3−i3i3i3i3i3−i3−i31-11-100002-200−i3i3i3−i3-11-11000000000000
χ4022-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-12-200−i3i300i3−i300−i3−i3i3i3i3i3−i3−i31-11-10000-2200i3−i3−i3i31-11-1000000000000
χ4122-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-12-200i3−i300−i3i300i3i3−i3−i3−i3−i3i3i31-11-100002-200i3−i3−i3i3-11-11000000000000
χ4222-22-2-12-22-221122-12-1-11-2-211-1-111-111-22-1-12-200i3−i300−i3i300i3i3−i3−i3−i3−i3i3i31-11-10000-2200−i3i3i3−i31-11-1000000000000
χ4322-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-22-2-20000000000000000002-2-220000002i−2i0000000000002i−2i2i−2i0000
χ4422-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-22-2-20000000000000000002-2-22000000−2i2i000000000000−2i2i−2i2i0000
χ4522-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-22-222000000000000000000-222-2002-20000000000002-22-200000000
χ4622-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-22-222000000000000000000-222-200-22000000000000-22-2200000000
χ4722-2-222-12-2-22-2-2112-1-1-221-11111-1-1-12-2-1-1-22110000−i3i300−i3i3−i3i3−i3i3−i3i3−i3i3-111-10000002i−2i000000003−3−33−ii−ii0000
χ4822-2-222-12-2-22-2-2112-1-1-221-11111-1-1-12-2-1-1-22110000−i3i300−i3i3−i3i3−i3i3−i3i3−i3i3-111-1000000−2i2i00000000−333−3i−ii−i0000
χ4922-2-222-12-2-22-2-2112-1-1-221-11111-1-1-12-2-1-1-22110000i3−i300i3−i3i3−i3i3−i3i3−i3i3−i3-111-10000002i−2i00000000−333−3−ii−ii0000
χ5022-2-222-12-2-22-2-2112-1-1-221-11111-1-1-12-2-1-1-22110000i3−i300i3−i3i3−i3i3−i3i3−i3i3−i3-111-1000000−2i2i000000003−3−33i−ii−i0000
χ5122-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-22112-2-1-10000−i3i300i3−i3−i3i3−i3i3i3−i3i3−i31-1-11002-2000000000000-11-11−i3i3i3−i30000
χ5222-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-22112-2-1-10000−i3i300i3−i3−i3i3−i3i3i3−i3i3−i31-1-1100-220000000000001-11-1i3−i3−i3i30000
χ5322-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-22112-2-1-10000i3−i300−i3i3i3−i3i3−i3−i3i3−i3i31-1-11002-2000000000000-11-11i3−i3−i3i30000
χ5422-2-222-1-222-2-2-2112-1-1-221-11111-1-1-1-22112-2-1-10000i3−i300−i3i3i3−i3i3−i3−i3i3−i3i31-1-1100-220000000000001-11-1−i3i3i3−i30000
χ5544444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-111110000000000000000000000000000
χ5744444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222224-4-2-2-2-222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222-442222-2-2-2-2-1-1-1-11111-1-1-1-10000000000000000000000000000
χ59444-4-44-244-4-444224-2-2-4-4-22-2-22222-24-4-224-4-22000000000000000000-2-2220000000000000000000000000000
χ60444-4-44-2-4-44444224-2-2-4-4-22-2-22222-2-442-2-442-200000000000000000022-2-20000000000000000000000000000
χ61444-4-4-2444-4-4-2-2-4-4-24-2224-4-2-22222-2-224-4-224-4000000000000000000-2-2220000000000000000000000000000
χ62444-4-4-24-4-444-2-2-4-4-24-2224-4-2-22222-22-2-442-2-4400000000000000000022-2-20000000000000000000000000000
χ63444-4-4-2-244-4-4-2-222-2-2122-2211-1-1-1-11-22-22-22-2200000000003-3-333-3-3311-1-10000000000000000000000000000
χ64444-4-4-2-244-4-4-2-222-2-2122-2211-1-1-1-11-22-22-22-220000000000-333-3-333-311-1-10000000000000000000000000000
χ65444-4-4-2-2-4-444-2-222-2-2122-2211-1-1-1-112-22-22-22-200000000003-3-33-333-3-1-1110000000000000000000000000000
χ66444-4-4-2-2-4-444-2-222-2-2122-2211-1-1-1-112-22-22-22-20000000000-333-33-3-33-1-1110000000000000000000000000000
χ6744-44-44-24-44-4-4-4-2-24-2-24-42222-2-222-244-22-4-42-2000000000000000000-22-220000000000000000000000000000
χ6844-44-44-2-44-44-4-4-2-24-2-24-42222-2-222-2-4-42-244-220000000000000000002-22-20000000000000000000000000000
χ6944-44-4-2-24-44-422-2-2-2-21-2222-1-111-1-11-2-2-22222-200−2i32i300−2i32i300i3i3−i3−i3i3i3−i3−i31-11-10000000000000000000000000000
χ7044-44-4-2-24-44-422-2-2-2-21-2222-1-111-1-11-2-2-22222-2002i3−2i3002i3−2i300−i3−i3i3i3−i3−i3i3i31-11-10000000000000000000000000000
χ7144-44-4-2-2-44-4422-2-2-2-21-2222-1-111-1-11222-2-2-2-2200−2i32i3002i3−2i300i3i3−i3−i3−i3−i3i3i3-11-110000000000000000000000000000
χ7244-44-4-2-2-44-4422-2-2-2-21-2222-1-111-1-11222-2-2-2-22002i3−2i300−2i32i300−i3−i3i3i3i3i3−i3−i3-11-110000000000000000000000000000
χ7344-4-44-244-4-4422-4-4-24-22-2-442222-2-2-2-22442-2-4-4000000000000000000-222-20000000000000000000000000000
χ7444-4-44-24-444-422-4-4-24-22-2-442222-2-2-22-2-4-4-22440000000000000000002-2-220000000000000000000000000000
χ7544-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-22-2220000−2i32i300−2i32i3i3−i3i3−i3i3−i3i3−i31-1-110000000000000000000000000000
χ7644-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-22-22200002i3−2i3002i3−2i3−i3i3−i3i3−i3i3−i3i31-1-110000000000000000000000000000
χ7744-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-22-2-20000−2i32i3002i3−2i3i3−i3i3−i3−i3i3−i3i3-111-10000000000000000000000000000
χ7844-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-22-2-200002i3−2i300−2i32i3−i3i3−i3i3i3−i3i3−i3-111-10000000000000000000000000000
χ798-80008800000000-8-880000000000-80000000000000000000000000000000000000000000000000000000000
χ808-80008-4000000−4i34i3-84-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000
χ818-80008-40000004i3−4i3-84-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3004-8-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3004-8-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i3−4i34i344200002i3−2i32i3−2i36-6-20000000000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i34i3−4i344200002i3−2i3−2i32i3-66-20000000000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i3−4i34i34420000−2i32i32i3−2i3-66-20000000000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i34i3−4i34420000−2i32i3−2i32i36-6-20000000000000000000000000000000000000000000000000000000000

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