Finite Group Databasebeta

← Group #11792365

Character table — Group #11792365

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121224666666666612121212121212121212244466888812121212121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000000000000000000000002-200
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000000000000000000000000000-2200
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12200-1-12200-1-10000-1-1-1-100000000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-20011-2-200110000111100000000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-12-2-2-2-211-1-1111111-2-2-1-111112200-1-1-2-200-1-10000111100000000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-12-2-2-2-211-1-1111111-2-2-1-11111-2-200112200110000-1-1-1-100000000
χ1522222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200002200-1-1-1-10000-1-1-1-10000
χ1622222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-20000-2-2001111000011110000
χ1722222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-2-211-2-2-1-11111-2-211-1-1111100220000-2-200-1-1-1-1000011110000
χ1822222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-2-211-2-2-1-11111-2-211-1-1111100-2-20000220011110000-1-1-1-10000
χ19222-2-22222-2-22222222-2-22-2-22222-222-22222-2-2000000-2-200000000-2-20000000000000000000000000000002i−2i
χ20222-2-22222-2-22222222-2-22-2-22222-222-22222-2-2000000-2-200000000-2-2000000000000000000000000000000−2i2i
χ21222-2-222-2-2222222-2-22-2-22-2-2222-22-2-22-2-2-2-2222-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000
χ22222-2-222-2-2222222-2-22-2-22-2-2222-22-2-22-2-2-2-222-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000
χ23222-2-22-1-2-22222-1211-1-2-2-111-1-1-11-1-2-221111-122-222-1-111-1-1-1-111-2-2-1-111110000−i3i30000−i3i30000−i3−i3i3i300000000
χ24222-2-22-1-2-22222-1211-1-2-2-111-1-1-11-1-2-221111-122-222-1-111-1-1-1-111-2-2-1-111110000i3−i30000i3−i30000i3i3−i3−i300000000
χ25222-2-22-1-2-22222-1211-1-2-2-111-1-1-11-1-2-221111-12-22-2-211111111-1-122-1-1-1-1-1-10000−i3i30000−i3i30000i3i3−i3−i300000000
χ26222-2-22-1-2-22222-1211-1-2-2-111-1-1-11-1-2-221111-12-22-2-211111111-1-122-1-1-1-1-1-10000i3−i30000i3−i30000−i3−i3i3i300000000
χ27222-2-2-12-2-222-1-12-1-2-2-1112-2-2-1-1-1-2211-111112-12-2-1-12211-1-1-1-1-2-211-1-11111000000000000−i3−i3i3i30000−i3−i3i3i30000
χ28222-2-2-12-2-222-1-12-1-2-2-1112-2-2-1-1-1-2211-111112-12-2-1-12211-1-1-1-1-2-211-1-11111000000000000i3i3−i3−i30000i3i3−i3−i30000
χ29222-2-2-12-2-222-1-12-1-2-2-1112-2-2-1-1-1-2211-111112-1-2211-2-211111122-1-1-1-1-1-1-1-1000000000000−i3−i3i3i30000i3i3−i3−i30000
χ30222-2-2-12-2-222-1-12-1-2-2-1112-2-2-1-1-1-2211-111112-1-2211-2-211111122-1-1-1-1-1-1-1-1000000000000i3i3−i3−i30000−i3−i3i3i30000
χ3122-22-2222-22-2-2-2222222-2-22-2-2-22-222-2-222-2-2-220000002-2000000002-20000002-2000000002-22-2000000000000
χ3222-22-2222-22-2-2-2222222-2-22-2-2-22-222-2-222-2-2-220000002-2000000002-2000000-2200000000-22-22000000000000
χ3322-22-222-22-22-2-222-2-222-2-22-2-2-222-2-222-2-2222-20000002-200000000-2200002-200220000-2-20000000000000000
χ3422-22-222-22-22-2-222-2-222-2-22-2-2-222-2-222-2-2222-20000002-200000000-220000-2200-2-20000220000000000000000
χ3522-22-22-1-22-22-2-2-1211-12-21-1111-1-11-22211-1-1-1-20000−i3i3-11−i3−i3i3i3−i3i3001-1−i3−i3i3i32-200-1-10000110000−i3i3−i3i300000000
χ3622-22-22-1-22-22-2-2-1211-12-21-1111-1-11-22211-1-1-1-20000−i3i3-11−i3−i3i3i3−i3i3001-1−i3−i3i3i3-2200110000-1-10000i3−i3i3−i300000000
χ3722-22-22-1-22-22-2-2-1211-12-21-1111-1-11-22211-1-1-1-20000i3−i3-11i3i3−i3−i3i3−i3001-1i3i3−i3−i32-200-1-10000110000i3−i3i3−i300000000
χ3822-22-22-1-22-22-2-2-1211-12-21-1111-1-11-22211-1-1-1-20000i3−i3-11i3i3−i3−i3i3−i3001-1i3i3−i3−i3-2200110000-1-10000−i3i3−i3i300000000
χ3922-22-2-122-22-2112-122-1-11-22-211-1-22-111-1-111-2-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i3002-200000000-11-110000−i3i3−i3i30000
χ4022-22-2-122-22-2112-122-1-11-22-211-1-22-111-1-111-2-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i300-22000000001-11-10000i3−i3i3−i30000
χ4122-22-2-122-22-2112-122-1-11-22-211-1-22-111-1-111-2-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i3002-200000000-11-110000i3−i3i3−i30000
χ4222-22-2-122-22-2112-122-1-11-22-211-1-22-111-1-111-2-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i300-22000000001-11-10000−i3i3−i3i30000
χ4322-2-22222-2-22-2-222222-22-2-22-2-22-2-22-2222-2-22-2000000-2200000000-2200000000002-2000000002-2-2200000000
χ4422-2-22222-2-22-2-222222-22-2-22-2-22-2-22-2222-2-22-2000000-2200000000-220000000000-2200000000-222-200000000
χ4522-2-2222-222-2-2-222-2-22-22-2-22-2-2222-22-2-2-222-22000000-22000000002-20000000000002-200000000002-2-220000
χ4622-2-2222-222-2-2-222-2-22-22-2-22-2-2222-22-2-2-222-22000000-22000000002-2000000000000-220000000000-222-20000
χ4722-2-222-12-2-22-2-2-12-1-1-1-2211-111-1112-22-1-111-1-20000−i3i31-1−i3−i3i3i3i3−i3001-1i3i3−i3−i30000−i3i32-200i3−i30000-111-100000000
χ4822-2-222-12-2-22-2-2-12-1-1-1-2211-111-1112-22-1-111-1-20000−i3i31-1−i3−i3i3i3i3−i3001-1i3i3−i3−i30000i3−i3-2200−i3i300001-1-1100000000
χ4922-2-222-12-2-22-2-2-12-1-1-1-2211-111-1112-22-1-111-1-20000i3−i31-1i3i3−i3−i3−i3i3001-1−i3−i3i3i30000−i3i3-2200i3−i300001-1-1100000000
χ5022-2-222-12-2-22-2-2-12-1-1-1-2211-111-1112-22-1-111-1-20000i3−i31-1i3i3−i3−i3−i3i3001-1−i3−i3i3i30000i3−i32-200−i3i30000-111-100000000
χ5122-2-22-12-222-2112-1-2-2-11-1-2-2211-1221-1111-1-1-2-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i3000000002-200−i3i3i3−i30000-111-10000
χ5222-2-22-12-222-2112-1-2-2-11-1-2-2211-1221-1111-1-1-2-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i300000000-2200i3−i3−i3i300001-1-110000
χ5322-2-22-12-222-2112-1-2-2-11-1-2-2211-1221-1111-1-1-2-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i3000000002-200i3−i3−i3i30000-111-10000
χ5422-2-22-12-222-2112-1-2-2-11-1-2-2211-1221-1111-1-1-2-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i300000000-2200−i3i3i3−i300001-1-110000
χ55444444-2-4-4-4-444-2422-244-2-2-2-2-2-222-4-4-422222-4000000-2-2000000002200000000000000000000000000000000
χ5644444-24-4-4-4-4-2-24-2-4-4-2-2-2444-2-2-2-4-42222222-42000000-2-2000000002200000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-122000000113-3-330000-1-13-3-330000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-12200000011-333-30000-1-1-333-30000000000000000000000000000
χ61444-4-44-244-4-444-24-2-2-2-4-4-222-2-2-2-2244-4-2-2-2-22-400000022000000002200000000000000000000000000000000
χ62444-4-4-2444-4-4-2-24-244-2224-4-4-2-2-24-4-2-22-2-2-2-2-4200000022000000002200000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-2-2-2-2-2122-222111-22-2-22111122000000-1-13-3-330000-1-1-333-30000000000000000000000000000
χ64444-4-4-2-244-4-4-2-2-2-2-2-2122-222111-22-2-22111122000000-1-1-333-30000-1-13-3-330000000000000000000000000000
χ65444-4-4-2-2-4-444-2-2-2-222122-2221112-222-2-1-1-1-1-2-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000
χ66444-4-4-2-2-4-444-2-2-2-222122-2221112-222-2-1-1-1-1-2-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000
χ6744-44-44-24-44-4-4-4-24-2-2-24-42-2222-22-24-4-4-2-22224000000-2200000000-2200000000000000000000000000000000
χ6844-44-4-24-44-44224-2-4-4-2-22-44-422-24-42-2-222-2-242000000-22000000002-200000000000000000000000000000000
χ6944-44-4-2-24-44-422-2-2-2-21-222-22-1-112-2-22211-1-12-200−2i32i3001-1i3−i3i3−i300−2i32i31-1i3−i3i3−i30000000000000000000000000000
χ7044-44-4-2-24-44-422-2-2-2-21-222-22-1-112-2-22211-1-12-2002i3−2i3001-1−i3i3−i3i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000
χ7144-44-4-2-2-44-4422-2-2221-222-22-1-11-222-2-2-1-111-220000−2i32i31-1i3i3−i3−i3−2i32i300-11i3i3−i3−i30000000000000000000000000000
χ7244-44-4-2-2-44-4422-2-2221-222-22-1-11-222-2-2-1-111-2200002i3−2i31-1−i3−i3i3i32i3−2i300-11−i3−i3i3i30000000000000000000000000000
χ7344-4-444-2-444-4-4-4-2422-2-4422-222-2-2-2-44-422-2-2240000002-200000000-2200000000000000000000000000000000
χ7444-4-44-244-4-44224-244-22-2-4-4422-2-4-4-22-2-2-222420000002-2000000002-200000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-2-2-212-222-2-1-1122-22-211-1-1-220000−2i32i3-11i3i3−i3−i32i3−2i300-11−i3−i3i3i30000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-2-2-212-222-2-1-1122-22-211-1-1-2200002i3−2i3-11−i3−i3i3i3−2i32i300-11i3i3−i3−i30000000000000000000000000000
χ7744-4-44-2-2-444-422-2-22212-222-2-1-11-2-22-22-1-1112-200−2i32i300-11i3−i3i3−i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-22212-222-2-1-11-2-22-22-1-1112-2002i3−2i300-11−i3i3−i3i300−2i32i31-1i3−i3i3−i30000000000000000000000000000
χ798-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-4000000040000043−43000000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-40000000400000−4343000000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-400000−4i34i340000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−432000002i3−2i3-200000−23236i−6i0000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−43432000002i3−2i3-20000023−23−6i6i0000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−43200000−2i32i3-200000−2323−6i6i0000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−4343200000−2i32i3-20000023−236i−6i0000000000000000000000000000000000000000000000000000

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