Finite Group Databasebeta

← Group #11795018

Character table — Group #11795018

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121244661212121212121212121212121212121212122266668888882424242424242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-2000000000000000000002i−2i00000000002i2i−2i−2i0000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000−2i2i0000000000−2i−2i2i2i0000
χ11222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-10000220000-1-1-1-100000000
χ12222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211110000-2-20000111100000000
χ13222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-21111111122-1-1-1-10000-2-20000111100000000
χ14222222-122222-1-1-122-122-1-12-1-1-122-1-1-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-211111111-2-211110000220000-1-1-1-100000000
χ1522222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000222200-1-1-1-10000-1-1-1-10000
χ1622222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2001111000011110000
χ1722222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-2-1-111111111111100000022-2-200-1-1-1-1000011110000
χ1822222-122222-1222-1-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-2-1-1111111111111000000-2-2220011110000-1-1-1-10000
χ1922222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-211111-200-1-1000011−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3000000002i−2i0033−3−30000−i−iii0000
χ2022222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-211111-200-1-1000011−i3−i3i3i3−i3−i3−i3−i3i3i3i3i300000000−2i2i00−3−3330000ii−i−i0000
χ2122222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-211111-200-1-1000011i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000002i−2i00−3−3330000−i−iii0000
χ2222222-12-2-2-2-2-122211-1-1-122-1-1-1-111-2-2-211111-200-1-1000011i3i3−i3−i3i3i3i3i3−i3−i3−i3−i300000000−2i2i0033−3−30000ii−i−i0000
χ23222-2-2222-2-2222-2-2-2-222-22-2-22-2-2222-2-222-2-2-22002-200002-20000000000000000000000000000000000002i−2i00
χ24222-2-2222-2-2222-2-2-2-222-22-2-22-2-2222-2-222-2-2-22002-200002-2000000000000000000000000000000000000−2i2i00
χ25222-2-222-222-222-2-22222-22-2-22-2-2-2-2-222-2-2222-2002-20000-2200000000000000000000002i−2i00002i2i−2i−2i00000000
χ26222-2-222-222-222-2-22222-22-2-22-2-2-2-2-222-2-2222-2002-20000-220000000000000000000000−2i2i0000−2i−2i2i2i00000000
χ27222-2-22-1-222-22-11122-12-2-11-2-111-2-21-1-111-1-12100-1133−3−31-1000033−3−333−3−300−i3−i3i3i300002i−2i0000−i−iii00000000
χ28222-2-22-1-222-22-11122-12-2-11-2-111-2-21-1-111-1-12100-1133−3−31-1000033−3−333−3−300i3i3−i3−i30000−2i2i0000ii−i−i00000000
χ29222-2-22-1-222-22-11122-12-2-11-2-111-2-21-1-111-1-12100-11−3−3331-10000−3−333−3−33300−i3−i3i3i30000−2i2i0000ii−i−i00000000
χ30222-2-22-1-222-22-11122-12-2-11-2-111-2-21-1-111-1-12100-11−3−3331-10000−3−333−3−33300i3i3−i3−i300002i−2i0000−i−iii00000000
χ3122-22-22222-2-22222222-2-2-2-222222-222-22222-2-200-2-20000-2-2000000000000000000000000000000000000002i−2i
χ3222-22-22222-2-22222222-2-2-2-222222-222-22222-2-200-2-20000-2-200000000000000000000000000000000000000−2i2i
χ3322-22-222-2-2222222-2-22-2-2-2-22222-22-2-22-2-2-2-22200-2-20000220000000000002-22-22-20000000000000000000000
χ3422-22-222-2-2222222-2-22-2-2-2-22222-22-2-22-2-2-2-22200-2-2000022000000000000-22-22-220000000000000000000000
χ3522-22-22-1-2-2222-1-1-1-2-2-1-2-2112-1-1-1-2211-111112-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i32-2-11-110000000000−i3i3−i3i300000000
χ3622-22-22-1-2-2222-1-1-1-2-2-1-2-2112-1-1-1-2211-111112-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i3-221-11-10000000000i3−i3i3−i300000000
χ3722-22-22-1-2-2222-1-1-1-2-2-1-2-2112-1-1-1-2211-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i32-2-11-110000000000i3−i3i3−i300000000
χ3822-22-22-1-2-2222-1-1-1-2-2-1-2-2112-1-1-1-2211-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i3-221-11-10000000000−i3i3−i3i300000000
χ3922-2-22222-22-222-2-2-2-22-22-22-22-2-22-22-2222-2-22-22i−2i-222i−2i−2i2i-222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ4022-2-22222-22-222-2-2-2-22-22-22-22-2-22-22-2222-2-22-2−2i2i-22−2i2i2i−2i-22−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ4122-2-2222-22-2222-2-2222-22-22-22-2-2-22-22-2-2-222-2200-2200002-20000000000000000002-200002-22-2000000000000
χ4222-2-2222-22-2222-2-2222-22-22-22-2-2-22-22-2-2-222-2200-2200002-2000000000000000000-220000-22-22000000000000
χ4322-2-222-12-22-22-111-2-2-1-221-1-2-1112-2-11-1-1-111212i−2i1-1−iii−i1-12i−2i2i−2i−iii−i−iii−i00−i3i3i3−i300000000003−3−3300000000
χ4422-2-222-12-22-22-111-2-2-1-221-1-2-1112-2-11-1-1-111212i−2i1-1−iii−i1-12i−2i2i−2i−iii−i−iii−i00i3−i3−i3i30000000000−333−300000000
χ4522-2-222-12-22-22-111-2-2-1-221-1-2-1112-2-11-1-1-11121−2i2i1-1i−i−ii1-1−2i2i−2i2ii−i−iii−i−ii00−i3i3i3−i30000000000−333−300000000
χ4622-2-222-12-22-22-111-2-2-1-221-1-2-1112-2-11-1-1-11121−2i2i1-1i−i−ii1-1−2i2i−2i2ii−i−iii−i−ii00i3−i3−i3i300000000003−3−3300000000
χ4722-2-22-122-22-2-12-2-211-11-1-221-111-112-22-1-111-1-22i−2i1-12i−2i−2i2i1-1−ii−ii−iii−i−iii−i0000000000003−3−330000−i3i3−i3i30000
χ4822-2-22-122-22-2-12-2-211-11-1-221-111-112-22-1-111-1-22i−2i1-12i−2i−2i2i1-1−ii−ii−iii−i−iii−i000000000000−333−30000i3−i3i3−i30000
χ4922-2-22-122-22-2-12-2-211-11-1-221-111-112-22-1-111-1-2−2i2i1-1−2i2i2i−2i1-1i−ii−ii−i−iii−i−ii0000000000003−3−330000i3−i3i3−i30000
χ5022-2-22-122-22-2-12-2-211-11-1-221-111-112-22-1-111-1-2−2i2i1-1−2i2i2i−2i1-1i−ii−ii−i−iii−i−ii000000000000−333−30000−i3i3−i3i30000
χ5122-2-22-12-22-22-12-2-2-1-1-11-1-221-1111-1-22-211-1-112001-10000-113−3−333−3−33−333−30000002-20000-11-110000−333−30000
χ5222-2-22-12-22-22-12-2-2-1-1-11-1-221-1111-1-22-211-1-112001-10000-113−3−333−3−33−333−3000000-2200001-11-100003−3−330000
χ5322-2-22-12-22-22-12-2-2-1-1-11-1-221-1111-1-22-211-1-112001-10000-11−333−3−333−33−3−330000002-20000-11-1100003−3−330000
χ5422-2-22-12-22-22-12-2-2-1-1-11-1-221-1111-1-22-211-1-112001-10000-11−333−3−333−33−3−33000000-2200001-11-10000−333−30000
χ55444444-2-4-4-4-44-2-2-2-4-4-244-2-24-2-2-2-4-42222222-4200-2-20000220000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-24411-2-2-2-211-2-2-2-2111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2-4-4112222112222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-12200110000-1-1−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-12200110000-1-12i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ60444-4-44-24-4-444-222-4-4-24-4-22-4-22244-222-2-222-4-200-220000-220000000000000000000000000000000000000000
χ61444-4-4-244-4-44-24-4-422-2-224-42-222-2-24-4-4-2-2222400-220000-220000000000000000000000000000000000000000
χ62444-4-4-24-444-4-24-4-4-2-2-2-224-42-22222-44422-2-2-2-400-2200002-20000000000000000000000000000000000000000
χ63444-4-4-2-24-4-44-2-222221-22-2221-1-1-2-2-22211-1-12-2001-100001-100003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ64444-4-4-2-24-4-44-2-222221-22-2221-1-1-2-2-22211-1-12-2001-100001-10000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ65444-4-4-2-2-444-4-2-222-2-21-22-2221-1-1222-2-2-1-111-22001-12323−23−23-110000−3−333−3−3330000000000000000000000000000
χ66444-4-4-2-2-444-4-2-222-2-21-22-2221-1-1222-2-2-1-111-22001-1−23−232323-11000033−3−333−3−30000000000000000000000000000
χ6744-44-44-244-4-44-2-2-244-2-4-4224-2-2-24-4-2-22-2-2-2-2-4200220000220000000000000000000000000000000000000000
χ6844-44-4-2444-4-4-2444-2-2-222-4-4-2-2-2-2-2244-4-2-2-2-22-400220000220000000000000000000000000000000000000000
χ6944-44-4-24-4-444-244422-222-4-4-2-2-2-22-2-4-442222-2400220000-2-20000000000000000000000000000000000000000
χ7044-44-4-2-244-4-4-2-2-2-2-2-212222-2111-22-2-2211112200-1-10000-1-100003-33-3-33-330000000000000000000000000000
χ7144-44-4-2-244-4-4-2-2-2-2-2-212222-2111-22-2-2211112200-1-10000-1-10000-33-333-33-30000000000000000000000000000
χ7244-44-4-2-2-4-444-2-2-2-22212222-21112-222-2-1-1-1-1-2-200-1-1−2i32i3−2i32i3110000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7344-44-4-2-2-4-444-2-2-2-22212222-21112-222-2-1-1-1-1-2-200-1-12i3−2i32i3−2i3110000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7444-4-444-2-44-444-22244-2-442-2-4-222-442-2222-2-2-4-2002-20000-220000000000000000000000000000000000000000
χ7544-4-44-2-24-44-4-2-2222212-22-221-1-1-22-22-211-1-1-224i−4i-11−2i2i2i−2i-11−2i2i−2i2ii−i−iii−i−ii0000000000000000000000000000
χ7644-4-44-2-24-44-4-2-2222212-22-221-1-1-22-22-211-1-1-22−4i4i-112i−2i−2i2i-112i−2i2i−2i−iii−i−iii−i0000000000000000000000000000
χ7744-4-44-2-2-44-44-2-222-2-212-22-221-1-12-22-22-1-1112-200-1100001-123−23−2323−333−33−3−330000000000000000000000000000
χ7844-4-44-2-2-44-44-2-222-2-212-22-221-1-12-22-22-1-1112-200-1100001-1−232323−233−3−33−333−30000000000000000000000000000
χ798-8000880000-8-80000800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-84−4i34i300-4000004−4i34i30000000000000000000000000000000000000000000000000000000000000
χ818-80008-40000-844i3−4i300-40000044i3−4i30000000000000000000000000000000000000000000000000000000000000
χ828-8000-4800004-80043−43-400000400000000043−430000000000000000000000000000000000000000000000000000
χ838-8000-4800004-800−4343-4000004000000000−43430000000000000000000000000000000000000000000000000000
χ848-8000-4-4000044−4i34i343−43200000-22i3−2i3000006i−6i−23230000000000000000000000000000000000000000000000000000
χ858-8000-4-4000044−4i34i3−4343200000-22i3−2i300000−6i6i23−230000000000000000000000000000000000000000000000000000
χ868-8000-4-40000444i3−4i343−43200000-2−2i32i300000−6i6i−23230000000000000000000000000000000000000000000000000000
χ878-8000-4-40000444i3−4i3−4343200000-2−2i32i3000006i−6i23−230000000000000000000000000000000000000000000000000000

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