Finite Group Databasebeta

← D59×#3545 #29496436

Subgroups — D59×#3545 #29496436

Order 15104.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438454C211yesmaximal, characteristic, complemented
2#21438453C211yesmaximal, characteristic, complemented
3#21438452C214yesmaximal, complemented
4#21438451C211yesmaximal, characteristic, complemented
5#21438450C212yesmaximal, complemented
6#21438449C212yesmaximal, complemented
7#21438448C212yesmaximal, complemented
8#21438447C214yesmaximal, complemented
9#21438446C212yesmaximal, complemented
10#21438445C212yesmaximal, complemented
11#21438444C214yesmaximal, complemented
12#21438443C214yesmaximal, complemented
13#21438442C212yesmaximal, complemented
14#563×D59C211yesmaximal, characteristic, complemented
15#562×D59C212yesmaximal, complemented
16H(3,𝔽4)×D59C211yesmaximal, characteristic, complemented
17#555×D59C212yesmaximal, complemented
18#551×D59C212yesmaximal, complemented
19#551×D59C214yesmaximal, complemented
20#546×D59C214yesmaximal, complemented
21#542×D59C214yesmaximal, complemented
22#538×D59C214yesmaximal, complemented
23#536×D59C212yesmaximal, complemented
24#534×D59C212yesmaximal, complemented
25#529×D59C212yesmaximal, complemented
26C2×#124×D59C211yesmaximal, characteristic, complemented
27C59×#3545C211yesmaximal, characteristic, complemented
28C2×#41×D59C2212yes—
29C22×Q8×D59C2211yescharacteristic, complemented
30C22×D4×D59C2211yescharacteristic
31C22×D4×D59C2212yescomplemented
32#16838156C2212yescomplemented
33#16838155C2212yescomplemented
34#16838154C2214yescomplemented
35#16838153C2214yescomplemented
36#16838152C2211yescharacteristic, complemented
37#16838151C2212yescomplemented
38#16838150C2212yescomplemented
39#16838149C2214yescomplemented
40#16838149C2214yescomplemented
41#16838148C2214yescomplemented
42#16838148C2214yescomplemented
43#16838147C2214yescomplemented
44#16838147C2214yescomplemented
45#16838146C2212yescomplemented
46#16838146C2212yescomplemented
47#16838145C2212yescomplemented
48#16838145C2214yescomplemented
49#16838144C2211yescharacteristic, complemented
50#16838144C2214yescomplemented
51#16838144C2212yescomplemented
52#16838144C2212yescomplemented
53#16838118C2212yescomplemented
54#16838117C2214yescomplemented
55#16838116C2214yescomplemented
56#16838116C2214yescomplemented
57#16838115C2214yescomplemented
58#16838115C2214yescomplemented
59#16838114C2212yescomplemented
60#16838114C2214yescomplemented
61#16838114C2212yescomplemented
62#16838083C2212yescomplemented
63#16838083C2214yescomplemented
64#16838082C2212yescomplemented
65#16838082C2214yescomplemented
66#16838081C2214yescomplemented
67#16838081C2214yescomplemented
68#16838081C2214yescomplemented
69#16838080C2212yescomplemented
70#16838080C2214yescomplemented
71#16838079C2214yescomplemented
72#16838079C2214yescomplemented
73#16838079C2214yescomplemented
74#16838078C2214yescomplemented
75#16838078C2214yescomplemented
76#16838078C2214yescomplemented
77#16838077C2214yescomplemented
78#16838077C2214yescomplemented
79#16838077C2214yescomplemented
80#16838076C2214yescomplemented
81#16838076C2214yescomplemented
82#16838076C2214yescomplemented
83#16838075C2214yescomplemented
84#16838075C2214yescomplemented
85#16838075C2214yescomplemented
86#16838049C2214yescomplemented
87#16838048C2214yescomplemented
88#16838047C2214yescomplemented
89#16838046C2214yescomplemented
90#16838045C2214yescomplemented
91#16838044C2214yescomplemented
92#16838044C2214yescomplemented
93#16838043C2214yescomplemented
94#16838042C2214yescomplemented
95#16838042C2214yescomplemented
96#16838041C2214yescomplemented
97#16838041C2214yescomplemented
98#16838040C2214yescomplemented
99#16838039C2214yescomplemented
100#16838039C2214yescomplemented
101#16838026C2214yescomplemented
102#16838025C2214yescomplemented
103#16838024C2214yescomplemented
104#16838023C2214yescomplemented
105#16838022C2214yescomplemented
106#16838022C2214yescomplemented
107#16838021C2214yescomplemented
108#16838020C2214yescomplemented
109#16838020C2214yescomplemented
110#16838019C2214yescomplemented
111#16838018C2214yescomplemented
112#16838018C2214yescomplemented
113#16838017C2214yescomplemented
114#16838016C2214yescomplemented
115#16838016C2214yescomplemented
116#16837992C2214yescomplemented
117#16837991C2214yescomplemented
118#16837991C2214yescomplemented
119#16837990C2214yescomplemented
120#16837989C2214yescomplemented
121#16837988C2214yescomplemented
122#16837988C2214yescomplemented
123#16837987C2214yescomplemented
124#16837987C2214yescomplemented
125#16837986C2214yescomplemented
126#16837986C2214yescomplemented
127#16837985C2214yescomplemented
128#16837985C2214yescomplemented
129#16837984C2214yescomplemented
130#16837984C2214yescomplemented
131#16837978C2212yescomplemented
132#16837977C2212yescomplemented
133#16837977C2212yescomplemented
134#16837976C2212yescomplemented
135#16837975C2214yescomplemented
136#16837975C2214yescomplemented
137#16837974C2214yescomplemented
138#16837974C2214yescomplemented
139#16837973C2212yescomplemented
140#16837972C2212yescomplemented
141#16837972C2212yescomplemented
142#16837964C2212yescomplemented
143#16837963C2212yescomplemented
144#16837963C2214yescomplemented
145#16837963C2212yescomplemented
146#16837962C2212yescomplemented
147#16837962C2214yescomplemented
148#16837962C2212yescomplemented
149#16837961C2212yescomplemented
150#16837961C2212yescomplemented
151#16837960C2214yescomplemented
152#16837960C2214yescomplemented
153C4⋊Q8×D59C2212yescomplemented
154C4⋊Q8×D59C2212yescomplemented
155#16837939C2212yescomplemented
156#16837938C2212yescomplemented
157#16837937C2212yescomplemented
158#16837936C2212yescomplemented
159#16837935C2214yescomplemented
160#16837934C2212yescomplemented
161#16837933C2212yescomplemented
162#16837932C2214yescomplemented
163#16837931C2212yescomplemented
164#16837930C2214yescomplemented
165#16837929C2214yescomplemented
166#126×D59C2214yescomplemented
167#126×D59C2214yescomplemented
168#126×D59C2214yescomplemented
169#125×D59C2212yescomplemented
170C2×#14273716C2211yescharacteristic, complemented
171C2×#14273715C2211yescharacteristic, complemented
172C2×#14273714C2211yescharacteristic, complemented
173C2×#14273713C2214yescomplemented
174#124×D59C2211yescharacteristic
175#124×D59C2211yescharacteristic
176#124×D59C2211yescharacteristic, complemented
177#124×D59C2211yescharacteristic, complemented
178#124×D59C2212yescomplemented
179#124×D59C2214yescomplemented
180#124×D59C2212yescomplemented
181#124×D59C2211yescharacteristic, complemented
182#124×D59C2214yescomplemented
183#124×D59C2214yescomplemented
184#124×D59C2211yescharacteristic, complemented
185#124×D59C2212yescomplemented
186#124×D59C2214yescomplemented
187#124×D59C2211yescharacteristic, complemented
188#124×D59C2211yescharacteristic, complemented
189#123×D59C2212yes—
190#123×D59C2214yescomplemented
191#123×D59C2214yescomplemented
192#123×D59C2212yescomplemented
193#123×D59C2214yescomplemented
194#123×D59C2214yescomplemented
195#123×D59C2214yescomplemented
196C22⋊Q8×D59C2214yescomplemented
197C22⋊Q8×D59C2214yescomplemented
198C22⋊Q8×D59C2214yescomplemented
199C22⋊Q8×D59C2214yescomplemented
200C22⋊Q8×D59C2212yescomplemented
201#121×D59C2214yes—
202#121×D59C2212yes—
203#121×D59C2214yescomplemented
204#121×D59C2214yescomplemented
205#121×D59C2214yescomplemented
206#120×D59C2212yes—
207#120×D59C2214yes—
208#120×D59C2214yescomplemented
209#120×D59C2212yescomplemented
210C4×Q8×D59C2212yescomplemented
211C4×D4×D59C2214yescomplemented
212C4×D4×D59C2214yescomplemented
213C4×D4×D59C2214yescomplemented
214C4×D4×D59C2212yescomplemented
215#117×D59C2214yescomplemented
216#117×D59C2212yescomplemented
217#117×D59C2214yescomplemented
218C2×C22⋊C4×D59C2214yescomplemented
219C2×C22⋊C4×D59C2214yescomplemented
220C2×C22⋊C4×D59C2212yescomplemented
221C2×C42×D59C2211yescharacteristic, complemented
222C59×#563C2211yescharacteristic, complemented
223C59×#562C2212yescomplemented
224C59×H(3,𝔽4)C2211yescharacteristic, complemented
225C59×#555C2212yescomplemented
226C59×#551C2212yescomplemented
227C59×#551C2214yescomplemented
228C59×#546C2214yescomplemented
229C59×#542C2214yescomplemented
230C59×#538C2214yescomplemented
231C59×#536C2212yescomplemented
232C59×#534C2212yescomplemented
233C59×#529C2212yescomplemented
234C2×#124×C59C2211yescharacteristic, complemented
235C24×D59C2312yes—
236C24×D59C2312yes—
237C2×#11745689C2312yes—
238C2×#11745685C2314yes—
239C2×#11745685C2312yes—
240C2×#11745687C2312yes—
241C2×#11745687C2314yes—
242#41×D59—48no—
243C22×Dic118C2312yescomplemented
244C22×Dic118C2311yescharacteristic, complemented
245C2×Q8×D59—44no—
246C2×Q8×D59C2311yescharacteristic
247C2×Q8×D59C2312yes—
248C2×Q8×D59C2312yes—
249C2×Q8×D59C2312yes—
250C2×Q8×D59C2311yescharacteristic
251C2×Q8×D59C2311yescharacteristic, complemented
252C2×Q8×D59C2312yescomplemented
253C2×Q8×D59C2311yescharacteristic, complemented
254C22×D236C2311yescharacteristic
255C22×D236C2312yescomplemented
256C22×C22⋊D59C2312yes—
257C22×C22⋊D59C2312yescomplemented
258C22×C22⋊D59C2312yescomplemented
259C2×D4×D59—44no—
260C2×D4×D59—48no—
261C2×D4×D59C2314yes—
262C2×D4×D59C2312yes—
263C2×D4×D59C2314yes—
264C2×D4×D59C2312yes—
265C2×D4×D59C2314yes—
266C2×D4×D59C2311yescharacteristic
267C2×D4×D59C2314yes—
268C2×D4×D59C2312yes—
269C2×D4×D59C2311yescharacteristic
270C2×D4×D59C2311yescharacteristic
271C2×D4×D59C2312yes—
272C2×D4×D59C2311yescharacteristic
273C2×D4×D59C2314yescomplemented
274C2×D4×D59C2314yescomplemented
275C22×C4×D59C2311yescharacteristic
276C22×C4×D59C2312yes—
277C22×C4×D59C2314yes—
278C22×C4×D59C2312yes—
279C22×C4×D59C2314yes—
280C22×C4×D59C2314yes—
281C22×C4×D59C2312yes—
282#14273727C2312yescomplemented
283#14273727C2312yescomplemented
284#14273726C2314yescomplemented
285#14273726C2314yescomplemented
286#14273726C2314yescomplemented
287#14273726C2314yescomplemented
288#14273725C2312yescomplemented
289#14273725C2312yescomplemented
290#14273725C2312yescomplemented
291#14273725C2312yescomplemented
292#14273722C2314yescomplemented
293#14273722C2314yescomplemented
294#14273722C2314yescomplemented
295#14273722C2314yescomplemented
296#14273722C2314yescomplemented
297#14273722C2314yescomplemented
298#14273722C2314yescomplemented
299#14273722C2314yescomplemented
300#14273722C2314yescomplemented
301#14273721C2314yescomplemented
302#14273721C2314yescomplemented
303#14273721C2314yescomplemented
304#14273720C2314yescomplemented
305#14273720C2314yescomplemented
306#14273720C2314yescomplemented
307#14273720C2314yescomplemented
308#14273720C2314yescomplemented
309#14273720C2314yescomplemented
310#14273720C2314yescomplemented
311#14273720C2314yescomplemented
312#14273720C2314yescomplemented
313#14273719C2312yescomplemented
314#14273718C2312yescomplemented
315#14273718C2312yescomplemented
316#14273717C2314yescomplemented
317#14273717C2314yescomplemented
318#14273716C2311yescharacteristic
319#14273716C2311yescharacteristic
320#14273716C2312yescomplemented
321#14273716C2312yescomplemented
322#14273716C2314yescomplemented
323#14273716C2311yescharacteristic, complemented
324#14273716C2314yescomplemented
325#14273716C2311yescharacteristic, complemented
326#14273716C2312yescomplemented
327#14273716C2314yescomplemented
328#14273715C2311yescharacteristic
329#14273715C2311yescharacteristic
330#14273715C2312yescomplemented
331#14273715C2312yescomplemented
332#14273715C2314yescomplemented
333#14273715C2311yescharacteristic, complemented
334#14273715C2314yescomplemented
335#14273715C2311yescharacteristic, complemented
336#14273715C2312yescomplemented
337#14273715C2314yescomplemented
338#14273714C2311yescharacteristic
339#14273714C2311yescharacteristic
340#14273714C2312yescomplemented
341#14273714C2312yescomplemented
342#14273714C2314yescomplemented
343#14273714C2311yescharacteristic, complemented
344#14273714C2314yescomplemented
345#14273714C2311yescharacteristic, complemented
346#14273714C2312yescomplemented
347#14273714C2314yescomplemented
348#14273713C2314yes—
349#14273713C2314yes—
350#14273713C2314yescomplemented
351#14273713C2314yescomplemented
352#14273713C2314yescomplemented
353#14273713C2314yescomplemented
354#14273713C2314yescomplemented
355#14273713C2314yescomplemented
356#14273713C2314yescomplemented
357#14273713C2314yescomplemented
358#14273713C2314yescomplemented
359#14273713C2314yescomplemented
360#14273713C2314yescomplemented
361#14273713C2314yescomplemented
362#14273713C2314yescomplemented
363#14273713C2314yescomplemented
364#14273713C2314yescomplemented
365#14273713C2314yescomplemented
366#14273713C2314yescomplemented
367#14273713C2314yescomplemented
368#14273713C2314yescomplemented
369#14273713C2314yescomplemented
370#14273712C2314yes—
371#14273712C2314yescomplemented
372#14273712C2314yescomplemented
373#14273712C2314yescomplemented
374#14273712C2314yescomplemented
375#14273712C2314yescomplemented
376#14273712C2314yescomplemented
377#14273712C2314yescomplemented
378#14273712C2314yescomplemented
379#14273712C2314yescomplemented
380#14273712C2314yescomplemented
381#14273712C2314yescomplemented
382#14273711C2312yes—
383#14273711C2314yescomplemented
384#14273711C2314yescomplemented
385#14273711C2314yescomplemented
386#14273711C2312yescomplemented
387#14273711C2314yescomplemented
388#14273711C2314yescomplemented
389#14273710C2312yes—
390#14273710C2314yescomplemented
391#14273710C2314yescomplemented
392#14273710C2314yescomplemented
393#14273710C2312yescomplemented
394#14273710C2314yescomplemented
395#14273710C2314yescomplemented
396#14273709C2314yes—
397#14273709C2314yescomplemented
398#14273709C2314yescomplemented
399#14273709C2314yescomplemented
400#14273709C2314yescomplemented
401#14273709C2314yescomplemented
402#14273709C2314yescomplemented
403#14273709C2314yescomplemented
404#14273709C2314yescomplemented
405#14273709C2314yescomplemented
406#14273709C2314yescomplemented
407#14273709C2314yescomplemented
408#14273708C2312yes—
409#14273708C2314yescomplemented
410#14273708C2314yescomplemented
411#14273708C2314yescomplemented
412#14273708C2312yescomplemented
413#14273708C2314yescomplemented
414#14273708C2314yescomplemented
415#14273707C2314yescomplemented
416#14273707C2314yescomplemented
417#14273707C2314yescomplemented
418#14273707C2312yescomplemented
419#14273707C2314yescomplemented
420#14273706C2314yescomplemented
421#14273706C2314yescomplemented
422#14273706C2314yescomplemented
423#14273706C2312yescomplemented
424#14273706C2314yescomplemented
425#14273705C2314yescomplemented
426#14273705C2314yescomplemented
427#14273705C2314yescomplemented
428#14273705C2314yescomplemented
429#14273705C2314yescomplemented
430#14273705C2314yescomplemented
431#14273705C2314yescomplemented
432#14273705C2314yescomplemented
433#14273705C2314yescomplemented
434#14273704C2314yescomplemented
435#14273704C2314yescomplemented
436#14273704C2314yescomplemented
437#14273704C2314yescomplemented
438#14273704C2314yescomplemented
439#14273704C2314yescomplemented
440#14273704C2314yescomplemented
441#14273704C2314yescomplemented
442#14273704C2314yescomplemented
443#14273703C2314yescomplemented
444#14273703C2314yescomplemented
445#14273703C2314yescomplemented
446#14273703C2312yescomplemented
447#14273703C2314yescomplemented
448#14273702C2312yes—
449#14273702C2314yes—
450#14273702C2314yescomplemented
451#14273702C2314yescomplemented
452#14273702C2314yescomplemented
453#14273701C2312yes—
454#14273701C2314yes—
455#14273701C2314yescomplemented
456#14273701C2314yescomplemented
457#14273701C2314yescomplemented
458#14273700C2314yes—
459#14273700C2314yes—
460#14273700C2314yes—
461#14273700C2314yescomplemented
462#14273700C2314yescomplemented
463#14273700C2314yescomplemented
464#14273700C2314yescomplemented
465#14273700C2314yescomplemented
466#14273700C2314yescomplemented
467#14273699C2314yes—
468#14273699C2314yes—
469#14273699C2314yes—
470#14273699C2314yescomplemented
471#14273699C2314yescomplemented
472#14273699C2314yescomplemented
473#14273699C2314yescomplemented
474#14273699C2314yescomplemented
475#14273699C2314yescomplemented
476#14273698C2312yes—
477#14273698C2314yes—
478#14273698C2314yescomplemented
479#14273698C2314yescomplemented
480#14273698C2314yescomplemented
481#14273697C2314yes—
482#14273697C2312yes—
483#14273697C2314yes—
484#14273697C2314yes—
485#14273697C2314yes—
486#14273697C2314yescomplemented
487#14273697C2314yescomplemented
488#14273697C2314yescomplemented
489#14273697C2314yescomplemented
490#14273697C2312yescomplemented
491#14273696C2312yes—
492#14273696C2314yes—
493#14273696C2314yescomplemented
494#14273696C2312yescomplemented
495#14273695C2314yes—
496#14273695C2312yes—
497#14273695C2314yes—
498#14273695C2314yes—
499#14273695C2314yes—
500#14273695C2314yescomplemented
501#14273695C2314yescomplemented
502#14273695C2314yescomplemented
503#14273695C2314yescomplemented
504#14273695C2312yescomplemented
505Q8×Dic59C2312yescomplemented
506C4×Dic118C2314yescomplemented
507C4×Dic118C2312yescomplemented
508#14273692C2314yescomplemented
509#14273692C2312yescomplemented
510C4×D236C2314yescomplemented
511C4×D236C2312yescomplemented
512C4×D236C2314yescomplemented
513C4×D236C2314yescomplemented
514D4×Dic59C2314yescomplemented
515D4×Dic59C2312yescomplemented
516D4×Dic59C2314yescomplemented
517D4×Dic59C2314yescomplemented
518#14273689C2314yescomplemented
519#14273689C2312yescomplemented
520#14273689C2314yescomplemented
521#14273689C2314yescomplemented
522C4×C22⋊D59C2314yescomplemented
523C4×C22⋊D59C2314yescomplemented
524C4×C22⋊D59C2314yescomplemented
525C4×C22⋊D59C2314yescomplemented
526C4×C22⋊D59C2314yescomplemented
527C4×C22⋊D59C2314yescomplemented
528C4×C22⋊D59C2314yescomplemented
529(C22⋊D59)⋊C4C2314yescomplemented
530(C22⋊D59)⋊C4C2314yescomplemented
531(C22⋊D59)⋊C4C2314yescomplemented
532(C22⋊D59)⋊C4C2314yescomplemented
533(C22⋊D59)⋊C4C2314yescomplemented
534(C22⋊D59)⋊C4C2314yescomplemented
535(C22⋊D59)⋊C4C2314yescomplemented
536#14273686C2314yescomplemented
537#14273686C2312yescomplemented
538#14273686C2314yescomplemented
539#14273685C2314yescomplemented
540#14273685C2314yescomplemented
541#14273685C2314yescomplemented
542#14273685C2314yescomplemented
543#14273685C2314yescomplemented
544#14273684C2314yescomplemented
545#14273684C2314yescomplemented
546#14273684C2312yescomplemented
547#14273684C2312yescomplemented
548#14273684C2314yescomplemented
549#14273684C2314yescomplemented
550#14273683C2314yescomplemented
551#14273683C2314yescomplemented
552#14273683C2314yescomplemented
553#14273683C2314yescomplemented
554#14273683C2314yescomplemented
555C4⋊C4×D59C2312yes—
556C4⋊C4×D59C2314yes—
557C4⋊C4×D59C2314yes—
558C4⋊C4×D59C2314yes—
559C4⋊C4×D59C2314yes—
560C4⋊C4×D59C2314yes—
561C4⋊C4×D59C2314yes—
562C4⋊C4×D59C2312yes—
563C4⋊C4×D59C2314yes—
564C2×C22⋊Dic59C2314yescomplemented
565C2×C22⋊Dic59C2312yescomplemented
566C2×C22⋊Dic59C2314yescomplemented
567C2×(C2×D59)⋊C4C2314yescomplemented
568C2×(C2×D59)⋊C4C2314yescomplemented
569C2×(C2×D59)⋊C4C2314yescomplemented
570C2×(C2×D59)⋊C4C2314yescomplemented
571C2×(C2×D59)⋊C4C2314yescomplemented
572C22⋊C4×D59C2314yes—
573C22⋊C4×D59C2314yes—
574C22⋊C4×D59C2314yes—
575C22⋊C4×D59C2314yes—
576C22⋊C4×D59C2314yes—
577C22⋊C4×D59C2314yes—
578C22⋊C4×D59C2314yes—
579C22⋊C4×D59C2314yes—
580C22⋊C4×D59C2314yes—
581C22⋊C4×D59C2314yes—
582C22⋊C4×D59C2314yes—
583C22⋊C4×D59C2312yes—
584C22⋊C4×D59C2314yes—
585C22⋊C4×D59C2314yes—
586C22⋊C4×D59C2312yes—
587C22⋊C4×D59C2314yescomplemented
588C22⋊C4×D59C2314yescomplemented
589C22⋊C4×D59C2314yescomplemented
590C22⋊C4×D59C2314yescomplemented
591C22⋊C4×D59C2314yescomplemented
592C22⋊C4×D59C2312yescomplemented
593C22⋊C4×D59C2312yescomplemented
594C22⋊C4×D59C2314yescomplemented
595C22⋊C4×D59C2314yescomplemented
596C22⋊C4×D59C2314yescomplemented
597C22⋊C4×D59C2314yescomplemented
598C2×C4×Dic59C2312yescomplemented
599C2×C4×Dic59C2311yescharacteristic, complemented
600C42×D59C2311yescharacteristic
601C42×D59C2311yescharacteristic
602C42×D59C2312yes—
603C42×D59C2312yes—
604C42×D59C2312yes—
605C42×D59C2314yes—
606C42×D59C2311yescharacteristic, complemented
607C42×D59C2311yescharacteristic, complemented
608C42×D59C2312yescomplemented
609C2×#41×C59C2312yes—
610C22×Q8×C59C2311yescharacteristic, complemented
611C22×D4×C59C2311yescharacteristic
612C22×D4×C59C2312yescomplemented
613C4⋊Q8×C59C2312yescomplemented
614C4⋊Q8×C59C2312yescomplemented
615#126×C59C2314yescomplemented
616#126×C59C2314yescomplemented
617#126×C59C2314yescomplemented
618#125×C59C2312yescomplemented
619#124×C59C2311yescharacteristic
620#124×C59C2311yescharacteristic
621#124×C59C2312yescomplemented
622#124×C59C2312yescomplemented
623#124×C59C2314yescomplemented
624#124×C59C2311yescharacteristic, complemented
625#124×C59C2314yescomplemented
626#124×C59C2311yescharacteristic, complemented
627#124×C59C2312yescomplemented
628#124×C59C2314yescomplemented
629#123×C59C2312yes—
630#123×C59C2314yescomplemented
631#123×C59C2314yescomplemented
632#123×C59C2314yescomplemented
633#123×C59C2312yescomplemented
634#123×C59C2314yescomplemented
635#123×C59C2314yescomplemented
636C22⋊Q8×C59C2314yescomplemented
637C22⋊Q8×C59C2314yescomplemented
638C22⋊Q8×C59C2314yescomplemented
639C22⋊Q8×C59C2312yescomplemented
640C22⋊Q8×C59C2314yescomplemented
641#121×C59C2312yes—
642#121×C59C2314yes—
643#121×C59C2314yescomplemented
644#121×C59C2314yescomplemented
645#121×C59C2314yescomplemented
646#120×C59C2312yes—
647#120×C59C2314yes—
648#120×C59C2314yescomplemented
649#120×C59C2312yescomplemented
650C4×Q8×C59C2312yescomplemented
651C4×D4×C59C2314yescomplemented
652C4×D4×C59C2312yescomplemented
653C4×D4×C59C2314yescomplemented
654C4×D4×C59C2314yescomplemented
655#117×C59C2314yescomplemented
656#117×C59C2312yescomplemented
657#117×C59C2314yescomplemented
658C2×C22⋊C4×C59C2314yescomplemented
659C2×C22⋊C4×C59C2312yescomplemented
660C2×C22⋊C4×C59C2314yescomplemented
661C2×C42×C59C2311yescharacteristic, complemented
662C24×C59C2412yes—
663C24×C59C2412yes—
664C23×D59—28no—
665C23×D59—44no—
666C23×D59—48no—
667C23×D59—48no—
668C23×D59C2412yes—
669C23×D59C2414yes—
670C23×D59C2412yes—
671C23×D59C2411yescharacteristic
672C23×D59C2412yes—
673C23×D59C2412yes—
674C23×D59C2412yes—
675C23×D59C2412yes—
676C23×D59C2414yes—
677#41×C59—44no—
678C2×Q8×C59—42no—
679C2×Q8×C59C2412yes—
680C2×Q8×C59C2411yescharacteristic
681C2×Q8×C59C2412yes—
682C2×Q8×C59C2412yes—
683C2×Q8×C59C2411yescharacteristic
684C2×D4×C59—42no—
685C2×D4×C59—44no—
686C2×D4×C59C2414yes—
687C2×D4×C59C2414yes—
688C2×D4×C59C2414yes—
689C2×D4×C59C2412yes—
690C2×D4×C59C2411yescharacteristic
691C2×D4×C59C2412yes—
692C2×D4×C59C2412yes—
693C2×D4×C59C2414yes—
694C2×D4×C59C2411yescharacteristic
695C22×C4×C59C2411yescharacteristic
696C22×C4×C59C2412yes—
697C22×C4×C59C2412yes—
698C22×C4×C59C2414yes—
699C22×C4×C59C2414yes—
700C22×C4×C59C2414yes—
701C22×C4×C59C2412yes—
702C2×C22⋊D59—44no—
703C2×C22⋊D59—44no—
704C2×C22⋊D59—44no—
705C2×C22⋊D59C2414yes—
706C2×C22⋊D59C2414yes—
707C2×C22⋊D59C2414yes—
708C2×C22⋊D59C2414yes—
709C2×C22⋊D59C2414yes—
710C2×C22⋊D59C2414yes—
711C2×C22⋊D59C2414yes—
712C2×C22⋊D59C2412yes—
713C2×C22⋊D59C2414yes—
714C2×C22⋊D59C2412yes—
715C2×C22⋊D59C2412yes—
716C2×C22⋊D59C2414yes—
717C2×C22⋊D59C2412yes—
718C2×C22⋊D59C2414yes—
719C22×Dic59C2411yescharacteristic
720C22×Dic59C2412yes—
721C22×Dic59C2412yes—
722C22×Dic59C2414yes—
723C22×Dic59C2414yes—
724C22×Dic59C2414yes—
725C22×Dic59C2412yes—
726#11745689—44no—
727Q8×D59—42no—
728Q8×D59—44no—
729Q8×D59—42no—
730Q8×D59—42no—
731Q8×D59—44no—
732Q8×D59—42no—
733Q8×D59—44no—
734Q8×D59—44no—
735#11745687—44no—
736#11745687—48no—
737D4×D59—216no—
738D4×D59—42no—
739D4×D59—44no—
740D4×D59—42no—
741D4×D59—42no—
742D4×D59—44no—
743D4×D59—42no—
744D4×D59—48no—
745D4×D59—48no—
746D4×D59—48no—
747D4×D59—44no—
748D4×D59—44no—
749D4×D59—48no—
750D4×D59—48no—
751#11745685—48no—
752#11745685—44no—
753C2×D236—44no—
754C2×D236—42no—
755C2×D236C2414yes—
756C2×D236C2414yes—
757C2×D236C2414yes—
758C2×D236C2412yes—
759C2×D236C2411yescharacteristic
760C2×D236C2412yes—
761C2×D236C2412yes—
762C2×D236C2414yes—
763C2×D236C2411yescharacteristic
764C2×C4×D59—24no—
765C2×C4×D59—28no—
766C2×C4×D59—48no—
767C2×C4×D59—44no—
768C2×C4×D59—48no—
769C2×C4×D59—44no—
770C2×C4×D59—48no—
771C2×C4×D59C2412yes—
772C2×C4×D59C2412yes—
773C2×C4×D59C2414yes—
774C2×C4×D59C2412yes—
775C2×C4×D59C2411yescharacteristic
776C2×C4×D59C2411yescharacteristic
777C2×C4×D59C2414yes—
778C2×C4×D59C2414yes—
779C2×C4×D59C2411yescharacteristic
780C2×C4×D59C2411yescharacteristic
781C2×C4×D59C2412yes—
782C2×C4×D59C2412yes—
783C2×C4×D59C2412yes—
784C2×C4×D59C2412yes—
785C2×C4×D59C2412yes—
786C2×C4×D59C2414yes—
787C2×C4×D59C2414yes—
788C2×C4×D59C2414yes—
789C2×C4×D59C2414yes—
790C2×C4×D59C2414yes—
791C2×C4×D59C2414yes—
792C2×C4×D59C2414yes—
793C2×Dic118—42no—
794C2×Dic118—44no—
795C2×Dic118C2414yes—
796C2×Dic118C2412yes—
797C2×Dic118C2411yescharacteristic
798C2×Dic118C2412yes—
799C2×Dic118C2412yes—
800C2×Dic118C2412yes—
801C2×Dic118C2412yes—
802C2×Dic118C2414yes—
803C2×Dic118C2412yes—
804C2×Dic118C2412yes—
805C2×Dic118C2411yescharacteristic
806C4⋊C4×C59C2414yes—
807C4⋊C4×C59C2414yes—
808C4⋊C4×C59C2414yes—
809C4⋊C4×C59C2414yes—
810C4⋊C4×C59C2414yes—
811C4⋊C4×C59C2414yes—
812C4⋊C4×C59C2412yes—
813C4⋊C4×C59C2412yes—
814C4⋊C4×C59C2414yes—
815C22⋊C4×C59C2414yes—
816C22⋊C4×C59C2414yes—
817C22⋊C4×C59C2414yes—
818C22⋊C4×C59C2414yes—
819C22⋊C4×C59C2414yes—
820C22⋊C4×C59C2412yes—
821C22⋊C4×C59C2414yes—
822C22⋊C4×C59C2412yes—
823C22⋊C4×C59C2414yes—
824C22⋊C4×C59C2414yes—
825C22⋊C4×C59C2414yes—
826C22⋊C4×C59C2414yes—
827C22⋊C4×C59C2414yes—
828C22⋊C4×C59C2414yes—
829C22⋊C4×C59C2414yes—
830C42×C59C2411yescharacteristic
831C42×C59C2412yes—
832C42×C59C2411yescharacteristic
833C42×C59C2412yes—
834C42×C59C2414yes—
835C42×C59C2412yes—
836C22⋊Dic59C2414yes—
837C22⋊Dic59C2414yes—
838C22⋊Dic59C2414yes—
839C22⋊Dic59C2414yes—
840C22⋊Dic59C2414yes—
841C22⋊Dic59C2412yes—
842C22⋊Dic59C2414yes—
843C22⋊Dic59C2412yes—
844C22⋊Dic59C2414yes—
845C22⋊Dic59C2414yes—
846C22⋊Dic59C2414yes—
847C22⋊Dic59C2414yes—
848C22⋊Dic59C2414yes—
849C22⋊Dic59C2414yes—
850C22⋊Dic59C2414yes—
851(C2×D59)⋊C4C2414yes—
852(C2×D59)⋊C4C2414yes—
853(C2×D59)⋊C4C2414yes—
854(C2×D59)⋊C4C2414yes—
855(C2×D59)⋊C4C2414yes—
856(C2×D59)⋊C4C2414yes—
857(C2×D59)⋊C4C2414yes—
858(C2×D59)⋊C4C2414yes—
859(C2×D59)⋊C4C2414yes—
860(C2×D59)⋊C4C2414yes—
861(C2×D59)⋊C4C2414yes—
862(C2×D59)⋊C4C2414yes—
863(C2×D59)⋊C4C2414yes—
864(C2×D59)⋊C4C2414yes—
865(C2×D59)⋊C4C2414yes—
866(C2×D59)⋊C4C2414yes—
867(C2×D59)⋊C4C2414yes—
868(C2×D59)⋊C4C2414yes—
869(C2×D59)⋊C4C2414yes—
870(C2×D59)⋊C4C2414yes—
871(C2×D59)⋊C4C2414yes—
872(C2×D59)⋊C4C2414yes—
873(C2×D59)⋊C4C2414yes—
874(C2×D59)⋊C4C2414yes—
875(C2×D59)⋊C4C2414yes—
876(C2×D59)⋊C4C2414yes—
877(C2×D59)⋊C4C2414yes—
878(C2×D59)⋊C4C2414yes—
879C4⋊Dic59C2414yes—
880C4⋊Dic59C2414yes—
881C4⋊Dic59C2414yes—
882C4⋊Dic59C2414yes—
883C4⋊Dic59C2414yes—
884C4⋊Dic59C2414yes—
885C4⋊Dic59C2412yes—
886C4⋊Dic59C2412yes—
887C4⋊Dic59C2414yes—
888Dic59⋊C4C2414yes—
889Dic59⋊C4C2414yes—
890Dic59⋊C4C2414yes—
891Dic59⋊C4C2414yes—
892Dic59⋊C4C2414yes—
893Dic59⋊C4C2414yes—
894Dic59⋊C4C2414yes—
895Dic59⋊C4C2414yes—
896Dic59⋊C4C2414yes—
897Dic59⋊C4C2414yes—
898Dic59⋊C4C2414yes—
899Dic59⋊C4C2414yes—
900Dic59⋊C4C2414yes—
901Dic59⋊C4C2414yes—
902Dic59⋊C4C2414yes—
903Dic59⋊C4C2414yes—
904C4×Dic59C2411yescharacteristic
905C4×Dic59C2412yes—
906C4×Dic59C2412yes—
907C4×Dic59C2412yes—
908C4×Dic59C2412yes—
909C4×Dic59C2412yes—
910C4×Dic59C2411yescharacteristic
911C4×Dic59C2412yes—
912C4×Dic59C2414yes—
913C4×Dic59C2414yes—
914C4×Dic59C2414yes—
915C4×Dic59C2414yes—
916C4×Dic59C2414yes—
917C4×Dic59C2412yes—
918C23×C59—24no—
919C23×C59—42no—
920C23×C59—44no—
921C23×C59—44no—
922C23×C59C2512yes—
923C23×C59C2514yes—
924C23×C59C2512yes—
925C23×C59C2511yescharacteristic
926C22×D59—24no—
927C22×D59—24no—
928C22×D59—28no—
929C22×D59—24no—
930C22×D59—24no—
931C22×D59—28no—
932C22×D59—28no—
933C22×D59—28no—
934C22×D59—28no—
935C22×D59—24no—
936C22×D59—24no—
937C22×D59—42no—
938C22×D59—44no—
939C22×D59—44no—
940C22×D59—44no—
941C22×D59—44no—
942C22×D59—44no—
943C22×D59—44no—
944C22×D59—44no—
945C22×D59—816no—
946C22×D59—816no—
947C22×D59H(5,𝔽2)14yes—
948C22×D59C2512yes—
949C22×D59C2514yes—
950C22×D59C2512yes—
951C22×D59C2511yescharacteristic
952C22×D59C2511yescharacteristic
953Q8×C59—41no—
954Q8×C59—42no—
955Q8×C59—41no—
956Q8×C59—42no—
957Q8×C59—42no—
958D4×C59—28no—
959D4×C59—41no—
960D4×C59—42no—
961D4×C59—41no—
962D4×C59—44no—
963D4×C59—42no—
964D4×C59—44no—
965D4×C59—42no—
966D4×C59—44no—
967C2×C4×C59—22no—
968C2×C4×C59—24no—
969C2×C4×C59—42no—
970C2×C4×C59—44no—
971C2×C4×C59—42no—
972C2×C4×C59—44no—
973C2×C4×C59—44no—
974C2×C4×C59C2512yes—
975C2×C4×C59C2511yescharacteristic
976C2×C4×C59C2511yescharacteristic
977C2×C4×C59C2512yes—
978C2×C4×C59C2514yes—
979C2×C4×C59C2512yes—
980C2×C4×C59C2514yes—
981C2×C4×C59C2514yes—
982C2×C4×C59C2512yes—
983C22⋊D59—28no—
984C22⋊D59—28no—
985C22⋊D59—44no—
986C22⋊D59—42no—
987C22⋊D59—42no—
988C22⋊D59—42no—
989C22⋊D59—42no—
990C22⋊D59—44no—
991C22⋊D59—44no—
992C22⋊D59—44no—
993C22⋊D59—44no—
994C22⋊D59—44no—
995C22⋊D59—44no—
996C22⋊D59—44no—
997C2×Dic59—24no—
998C2×Dic59—22no—
999C2×Dic59—44no—
1000C2×Dic59—42no—
1001C2×Dic59—44no—
1002C2×Dic59—44no—
1003C2×Dic59—42no—
1004C2×Dic59C2512yes—
1005C2×Dic59C2512yes—
1006C2×Dic59C2514yes—
1007C2×Dic59C2511yescharacteristic
1008C2×Dic59C2511yescharacteristic
1009C2×Dic59C2512yes—
1010C2×Dic59C2514yes—
1011C2×Dic59C2514yes—
1012C2×Dic59C2512yes—
1013D236—28no—
1014D236—41no—
1015D236—42no—
1016D236—41no—
1017D236—44no—
1018D236—42no—
1019D236—44no—
1020D236—42no—
1021D236—44no—
1022C4×D59—24no—
1023C4×D59—24no—
1024C4×D59—22no—
1025C4×D59—22no—
1026C4×D59—22no—
1027C4×D59—22no—
1028C4×D59—24no—
1029C4×D59—24no—
1030C4×D59—28no—
1031C4×D59—24no—
1032C4×D59—28no—
1033C4×D59—24no—
1034C4×D59—28no—
1035C4×D59—42no—
1036C4×D59—44no—
1037C4×D59—42no—
1038C4×D59—44no—
1039C4×D59—44no—
1040C4×D59—44no—
1041C4×D59—44no—
1042C4×D59—44no—
1043C4×D59—44no—
1044Dic118—41no—
1045Dic118—42no—
1046Dic118—42no—
1047Dic118—42no—
1048Dic118—41no—
1049Dic118—42no—
1050Dic118—42no—
1051Dic118—44no—
1052Dic118—42no—
1053Dic118—44no—
1054Dic118—42no—
1055C2×#3545—591nomaximal, Sylow
1056C22×C59—22no—
1057C22×C59—24no—
1058C22×C59—22no—
1059C22×C59—22no—
1060C22×C59—24no—
1061C22×C59—24no—
1062C22×C59—24no—
1063C22×C59—24no—
1064C22×C59—84no—
1065C22×C59—84no—
1066C22×C59C2×H(5,𝔽2)12yes—
1067C22×C59C2611yescharacteristic
1068C2×D59—22no—
1069C2×D59—28no—
1070C2×D59—24no—
1071C2×D59—22no—
1072C2×D59—22no—
1073C2×D59—24no—
1074C2×D59—24no—
1075C2×D59—24no—
1076C2×D59—24no—
1077C2×D59—416no—
1078C2×D59—48no—
1079C2×D59—48no—
1080C2×D59—84no—
1081C2×D59—84no—
1082C2×D59—84no—
1083C2×D59—84no—
1084C2×D59—88no—
1085C2×D59C2×H(5,𝔽2)12yes—
1086C2×D59C2×H(5,𝔽2)12yes—
1087C2×D59#58514yes—
1088C4×C59—22no—
1089C4×C59—22no—
1090C4×C59—21no—
1091C4×C59—21no—
1092C4×C59—24no—
1093C4×C59—22no—
1094C4×C59—24no—
1095C4×C59—22no—
1096C4×C59—24no—
1097Dic59—22no—
1098Dic59—22no—
1099Dic59—21no—
1100Dic59—21no—
1101Dic59—24no—
1102Dic59—22no—
1103Dic59—24no—
1104Dic59—22no—
1105Dic59—24no—
1106#3545—591no—
1107#3545—592no—
1108#3545—591no—
1109#3545—592no—
1110#3545—592no—
1111#3545—594no—
1112#3545—594no—
1113#3545—594no—
1114#3545—594no—
1115#3545—592no—
1116#3545—592no—
1117#3545—592no—
1118#3545—591no—
1119#3545D5911yescharacteristic, direct product factor
1120C2×#563—591no—
1121C2×#562—592no—
1122C2×H(3,𝔽4)—591no—
1123C2×#555—592no—
1124C2×#551—594no—
1125C2×#551—592no—
1126C2×#546—594no—
1127C2×#542—594no—
1128C2×#538—594no—
1129C2×#536—592no—
1130C2×#534—592no—
1131C2×#529—592no—
1132C22×#124—591no—
1133C2×C59—22no—
1134C2×C59—42no—
1135C2×C59—42no—
1136C2×C59—44no—
1137C2×C59C22×H(5,𝔽2)11yescharacteristic
1138C2×C59C2×#58512yes—
1139D59—22no—
1140D59—44no—
1141D59—42no—
1142D59—42no—
1143D59#354514yesdirect product factor
1144C22×#41—592no—
1145C23×Q8—591no—
1146C23×D4—591no—
1147C23×D4—592no—
1148#563—592no—
1149#563—594no—
1150#563—592no—
1151#563—591no—
1152#563—592no—
1153#563—594no—
1154#563C2×D5911yescharacteristic, complemented
1155#562—592no—
1156#562—592no—
1157#562—592no—
1158#562—594no—
1159#562—594no—
1160#562—594no—
1161#562—594no—
1162#562—594no—
1163#562—594no—
1164#562C2×D5912yescomplemented
1165H(3,𝔽4)—591no—
1166H(3,𝔽4)—594no—
1167H(3,𝔽4)—592no—
1168H(3,𝔽4)—592no—
1169H(3,𝔽4)—592no—
1170H(3,𝔽4)—594no—
1171H(3,𝔽4)C2×D5911yescharacteristic, complemented
1172#555—592no—
1173#555—592no—
1174#555—594no—
1175#555—592no—
1176#555—594no—
1177#555—594no—
1178#555—594no—
1179#555—594no—
1180#555—594no—
1181#555C2×D5912yescomplemented
1182#551—594no—
1183#551—594no—
1184#551—594no—
1185#551—592no—
1186#551—594no—
1187#551—592no—
1188#551—594no—
1189#551—594no—
1190#551—594no—
1191#551—594no—
1192#551—594no—
1193#551—594no—
1194#551—594no—
1195#551—594no—
1196#551—592no—
1197#551—594no—
1198#551—594no—
1199#551—594no—
1200#551—594no—
1201#551—594no—
1202#551—594no—
1203#551—594no—
1204#551—594no—
1205#551—594no—
1206#551C2×D5912yescomplemented
1207#551C2×D5914yescomplemented
1208#546—594no—
1209#546—594no—
1210#546—594no—
1211#546—594no—
1212#546—594no—
1213#546—594no—
1214#546—594no—
1215#546—594no—
1216#546—594no—
1217#546—594no—
1218#546—594no—
1219#546—594no—
1220#546—594no—
1221#546—594no—
1222#546—594no—
1223#546C2×D5914yescomplemented
1224#542—594no—
1225#542—594no—
1226#542—594no—
1227#542—594no—
1228#542—594no—
1229#542—594no—
1230#542—594no—
1231#542—594no—
1232#542—594no—
1233#542—594no—
1234#542—594no—
1235#542—594no—
1236#542—594no—
1237#542—594no—
1238#542—594no—
1239#542C2×D5914yescomplemented
1240#538—594no—
1241#538—594no—
1242#538—594no—
1243#538—594no—
1244#538—594no—
1245#538—594no—
1246#538—594no—
1247#538—594no—
1248#538—594no—
1249#538—594no—
1250#538—594no—
1251#538—594no—
1252#538—594no—
1253#538—594no—
1254#538—594no—
1255#538C2×D5914yescomplemented
1256#536—592no—
1257#536—592no—
1258#536—592no—
1259#536—592no—
1260#536—592no—
1261#536—592no—
1262#536—594no—
1263#536—594no—
1264#536—594no—
1265#536—594no—
1266#536—592no—
1267#536C2×D5912yescomplemented
1268#534—592no—
1269#534—592no—
1270#534—592no—
1271#534—592no—
1272#534—594no—
1273#534—594no—
1274#534—594no—
1275#534—592no—
1276#534—594no—
1277#534—592no—
1278#534—592no—
1279#534C2×D5912yescomplemented
1280C2×C4⋊Q8—592no—
1281C2×C4⋊Q8—592no—
1282#529—594no—
1283#529—592no—
1284#529—592no—
1285#529—594no—
1286#529—592no—
1287#529—592no—
1288#529—592no—
1289#529—594no—
1290#529—592no—
1291#529—594no—
1292#529—592no—
1293#529C2×D5912yescomplemented
1294C2×#126—594no—
1295C2×#126—594no—
1296C2×#126—594no—
1297C2×#125—592no—
1298C2×#124—591no—
1299C2×#124—591no—
1300C2×#124—591no—
1301C2×#124—591no—
1302C2×#124—591no—
1303C2×#124—591no—
1304C2×#124—594no—
1305C2×#124—591no—
1306C2×#124—591no—
1307C2×#124—594no—
1308C2×#124—591no—
1309C2×#124—591no—
1310C2×#124—592no—
1311C2×#124—592no—
1312C2×#124—592no—
1313C2×#124—594no—
1314C2×#124—594no—
1315C2×#124—594no—
1316C2×#124—591no—
1317C2×#124C2×D5911yescharacteristic, complemented
1318C2×#123—592no—
1319C2×#123—594no—
1320C2×#123—592no—
1321C2×#123—594no—
1322C2×#123—594no—
1323C2×#123—594no—
1324C2×#123—594no—
1325C2×C22⋊Q8—592no—
1326C2×C22⋊Q8—594no—
1327C2×C22⋊Q8—594no—
1328C2×C22⋊Q8—594no—
1329C2×C22⋊Q8—594no—
1330C2×#121—592no—
1331C2×#121—594no—
1332C2×#121—594no—
1333C2×#121—594no—
1334C2×#121—594no—
1335C2×#120—594no—
1336C2×#120—592no—
1337C2×#120—592no—
1338C2×#120—594no—
1339C2×C4×Q8—592no—
1340C2×C4×D4—592no—
1341C2×C4×D4—594no—
1342C2×C4×D4—594no—
1343C2×C4×D4—594no—
1344C2×#117—594no—
1345C2×#117—592no—
1346C2×#117—594no—
1347C22×C22⋊C4—594no—
1348C22×C22⋊C4—592no—
1349C22×C22⋊C4—594no—
1350C22×C42—591no—
1351C59C2×#354511yescharacteristic, complemented, Sylow
1352C25—592no—
1353C25—592no—
1354C2×#41—592no—
1355C2×#41—594no—
1356C2×#41—592no—
1357C2×#41—594no—
1358C2×#41—592no—
1359C2×#41—2368no—
1360C2×#41C22×D5912yes—
1361C22×Q8—592no—
1362C22×Q8—591no—
1363C22×Q8—592no—
1364C22×Q8—592no—
1365C22×Q8—591no—
1366C22×Q8—591no—
1367C22×Q8—592no—
1368C22×Q8—591no—
1369C22×Q8—592no—
1370C22×Q8—591no—
1371C22×Q8—2364no—
1372C22×Q8C22×D5911yescharacteristic, complemented
1373C22×D4—592no—
1374C22×D4—592no—
1375C22×D4—592no—
1376C22×D4—594no—
1377C22×D4—594no—
1378C22×D4—594no—
1379C22×D4—592no—
1380C22×D4—592no—
1381C22×D4—591no—
1382C22×D4—592no—
1383C22×D4—594no—
1384C22×D4—591no—
1385C22×D4—592no—
1386C22×D4—591no—
1387C22×D4—591no—
1388C22×D4—594no—
1389C22×D4—594no—
1390C22×D4—591no—
1391C22×D4—592no—
1392C22×D4—2364no—
1393C22×D4—2368no—
1394C22×D4C22×D5911yescharacteristic
1395C22×D4C22×D5912yescomplemented
1396C23×C4—592no—
1397C23×C4—591no—
1398C23×C4—592no—
1399C23×C4—594no—
1400C23×C4—594no—
1401C23×C4—594no—
1402C23×C4—592no—
1403C4⋊Q8—592no—
1404C4⋊Q8—592no—
1405C4⋊Q8—592no—
1406C4⋊Q8—592no—
1407C4⋊Q8—594no—
1408C4⋊Q8—594no—
1409C4⋊Q8—594no—
1410C4⋊Q8—594no—
1411C4⋊Q8—592no—
1412C4⋊Q8—592no—
1413C4⋊Q8C22×D5912yescomplemented
1414C4⋊Q8C22×D5912yescomplemented
1415#126—594no—
1416#126—594no—
1417#126—594no—
1418#126—594no—
1419#126—594no—
1420#126—594no—
1421#126—594no—
1422#126—594no—
1423#126—594no—
1424#126—594no—
1425#126—594no—
1426#126—594no—
1427#126—594no—
1428#126—594no—
1429#126—594no—
1430#126—594no—
1431#126—594no—
1432#126—594no—
1433#126—594no—
1434#126—594no—
1435#126—594no—
1436#126C22×D5914yescomplemented
1437#126C22×D5914yescomplemented
1438#126C22×D5914yescomplemented
1439#125—594no—
1440#125—594no—
1441#125—592no—
1442#125—592no—
1443#125—592no—
1444#125C22×D5912yescomplemented
1445#124—594no—
1446#124—591no—
1447#124—591no—
1448#124—591no—
1449#124—591no—
1450#124—592no—
1451#124—592no—
1452#124—592no—
1453#124—594no—
1454#124—594no—
1455#124—594no—
1456#124—591no—
1457#124—591no—
1458#124—591no—
1459#124—591no—
1460#124—592no—
1461#124—592no—
1462#124—592no—
1463#124—594no—
1464#124—594no—
1465#124—594no—
1466#124—594no—
1467#124—594no—
1468#124—594no—
1469#124—594no—
1470#124—594no—
1471#124—594no—
1472#124—594no—
1473#124—594no—
1474#124—594no—
1475#124—594no—
1476#124—594no—
1477#124—594no—
1478#124—594no—
1479#124—594no—
1480#124—594no—
1481#124—594no—
1482#124—594no—
1483#124—594no—
1484#124—594no—
1485#124—594no—
1486#124—594no—
1487#124—594no—
1488#124—591no—
1489#124—591no—
1490#124—591no—
1491#124—591no—
1492#124—592no—
1493#124—592no—
1494#124—592no—
1495#124—594no—
1496#124—594no—
1497#124C22×D5911yescharacteristic
1498#124C22×D5911yescharacteristic
1499#124C22×D5914yescomplemented
1500#124C22×D5911yescharacteristic, complemented
1501#124C22×D5911yescharacteristic, complemented
1502#124C22×D5912yescomplemented
1503#124C22×D5912yescomplemented
1504#124C22×D5912yescomplemented
1505#124C22×D5914yescomplemented
1506#124C22×D5914yescomplemented
1507#123—594no—
1508#123—592no—
1509#123—592no—
1510#123—594no—
1511#123—594no—
1512#123—594no—
1513#123—594no—
1514#123—594no—
1515#123—592no—
1516#123—592no—
1517#123—594no—
1518#123—594no—
1519#123—594no—
1520#123—594no—
1521#123—594no—
1522#123—594no—
1523#123—594no—
1524#123—594no—
1525#123—594no—
1526#123—594no—
1527#123—594no—
1528#123—594no—
1529#123—594no—
1530#123—594no—
1531#123—594no—
1532#123—594no—
1533#123—594no—
1534#123—594no—
1535#123—594no—
1536#123—594no—
1537#123—592no—
1538#123—594no—
1539#123—592no—
1540#123—594no—
1541#123—594no—
1542#123—594no—
1543#123—594no—
1544#123—594no—
1545#123—594no—
1546#123—594no—
1547#123—594no—
1548#123—594no—
1549#123—594no—
1550#123—594no—
1551#123—594no—
1552#123C22×D5912yes—
1553#123C22×D5914yescomplemented
1554#123C22×D5912yescomplemented
1555#123C22×D5914yescomplemented
1556#123C22×D5914yescomplemented
1557#123C22×D5914yescomplemented
1558#123C22×D5914yescomplemented
1559C22⋊Q8—592no—
1560C22⋊Q8—594no—
1561C22⋊Q8—594no—
1562C22⋊Q8—594no—
1563C22⋊Q8—594no—
1564C22⋊Q8—592no—
1565C22⋊Q8—594no—
1566C22⋊Q8—594no—
1567C22⋊Q8—594no—
1568C22⋊Q8—594no—
1569C22⋊Q8—594no—
1570C22⋊Q8—592no—
1571C22⋊Q8—594no—
1572C22⋊Q8—594no—
1573C22⋊Q8—594no—
1574C22⋊Q8—594no—
1575C22⋊Q8—594no—
1576C22⋊Q8—594no—
1577C22⋊Q8—594no—
1578C22⋊Q8—594no—
1579C22⋊Q8—594no—
1580C22⋊Q8—594no—
1581C22⋊Q8—594no—
1582C22⋊Q8—594no—
1583C22⋊Q8—594no—
1584C22⋊Q8—594no—
1585C22⋊Q8—594no—
1586C22⋊Q8—594no—
1587C22⋊Q8—594no—
1588C22⋊Q8—594no—
1589C22⋊Q8—594no—
1590C22⋊Q8—594no—
1591C22⋊Q8—594no—
1592C22⋊Q8C22×D5912yescomplemented
1593C22⋊Q8C22×D5914yescomplemented
1594C22⋊Q8C22×D5914yescomplemented
1595C22⋊Q8C22×D5914yescomplemented
1596C22⋊Q8C22×D5914yescomplemented
1597#121—592no—
1598#121—594no—
1599#121—594no—
1600#121—594no—
1601#121—594no—
1602#121—594no—
1603#121—594no—
1604#121—594no—
1605#121—594no—
1606#121—594no—
1607#121—594no—
1608#121—594no—
1609#121—594no—
1610#121—594no—
1611#121—592no—
1612#121—594no—
1613#121—594no—
1614#121—594no—
1615#121—594no—
1616#121—592no—
1617#121—594no—
1618#121—594no—
1619#121—594no—
1620#121—594no—
1621#121—594no—
1622#121—594no—
1623#121—594no—
1624#121—594no—
1625#121—594no—
1626#121—594no—
1627#121—594no—
1628#121—594no—
1629#121—594no—
1630#121C22×D5912yes—
1631#121C22×D5914yes—
1632#121C22×D5914yescomplemented
1633#121C22×D5914yescomplemented
1634#121C22×D5914yescomplemented
1635#120—592no—
1636#120—594no—
1637#120—592no—
1638#120—594no—
1639#120—592no—
1640#120—594no—
1641#120—594no—
1642#120—594no—
1643#120—594no—
1644#120—592no—
1645#120—594no—
1646#120—594no—
1647#120—594no—
1648#120—594no—
1649#120—594no—
1650#120—592no—
1651#120—594no—
1652#120—594no—
1653#120—594no—
1654#120—594no—
1655#120—592no—
1656#120—594no—
1657#120—594no—
1658#120—594no—
1659#120C22×D5914yes—
1660#120C22×D5912yes—
1661#120C22×D5912yescomplemented
1662#120C22×D5914yescomplemented
1663C4×Q8—592no—
1664C4×Q8—594no—
1665C4×Q8—592no—
1666C4×Q8—594no—
1667C4×Q8—592no—
1668C4×Q8C22×D5912yescomplemented
1669C4×D4—592no—
1670C4×D4—594no—
1671C4×D4—594no—
1672C4×D4—594no—
1673C4×D4—594no—
1674C4×D4—594no—
1675C4×D4—594no—
1676C4×D4—594no—
1677C4×D4—594no—
1678C4×D4—594no—
1679C4×D4—594no—
1680C4×D4—592no—
1681C4×D4—594no—
1682C4×D4—594no—
1683C4×D4—594no—
1684C4×D4—594no—
1685C4×D4—594no—
1686C4×D4—594no—
1687C4×D4—594no—
1688C4×D4—594no—
1689C4×D4—594no—
1690C4×D4—594no—
1691C4×D4—592no—
1692C4×D4—594no—
1693C4×D4—594no—
1694C4×D4—594no—
1695C4×D4C22×D5912yescomplemented
1696C4×D4C22×D5914yescomplemented
1697C4×D4C22×D5914yescomplemented
1698C4×D4C22×D5914yescomplemented
1699#117—594no—
1700#117—592no—
1701#117—594no—
1702#117—594no—
1703#117—594no—
1704#117—594no—
1705#117—594no—
1706#117—594no—
1707#117—594no—
1708#117—594no—
1709#117—594no—
1710#117—594no—
1711#117—594no—
1712#117—594no—
1713#117—594no—
1714#117—592no—
1715#117—592no—
1716#117—594no—
1717#117—594no—
1718#117C22×D5914yescomplemented
1719#117C22×D5912yescomplemented
1720#117C22×D5914yescomplemented
1721C2×C4⋊C4—594no—
1722C2×C4⋊C4—594no—
1723C2×C4⋊C4—594no—
1724C2×C4⋊C4—594no—
1725C2×C4⋊C4—594no—
1726C2×C4⋊C4—594no—
1727C2×C4⋊C4—592no—
1728C2×C4⋊C4—592no—
1729C2×C4⋊C4—594no—
1730C2×C22⋊C4—594no—
1731C2×C22⋊C4—592no—
1732C2×C22⋊C4—594no—
1733C2×C22⋊C4—594no—
1734C2×C22⋊C4—594no—
1735C2×C22⋊C4—594no—
1736C2×C22⋊C4—594no—
1737C2×C22⋊C4—594no—
1738C2×C22⋊C4—594no—
1739C2×C22⋊C4—594no—
1740C2×C22⋊C4—594no—
1741C2×C22⋊C4—594no—
1742C2×C22⋊C4—594no—
1743C2×C22⋊C4—594no—
1744C2×C22⋊C4—592no—
1745C2×C22⋊C4—592no—
1746C2×C22⋊C4—594no—
1747C2×C22⋊C4—594no—
1748C2×C22⋊C4—594no—
1749C2×C22⋊C4—594no—
1750C2×C22⋊C4—594no—
1751C2×C22⋊C4—594no—
1752C2×C22⋊C4—594no—
1753C2×C22⋊C4—592no—
1754C2×C22⋊C4—592no—
1755C2×C22⋊C4—594no—
1756C2×C22⋊C4—594no—
1757C2×C22⋊C4—594no—
1758C2×C22⋊C4—594no—
1759C2×C22⋊C4—594no—
1760C2×C22⋊C4—594no—
1761C2×C22⋊C4—594no—
1762C2×C22⋊C4—594no—
1763C2×C22⋊C4—594no—
1764C2×C22⋊C4C22×D5914yescomplemented
1765C2×C22⋊C4C22×D5912yescomplemented
1766C2×C22⋊C4C22×D5914yescomplemented
1767C2×C42—592no—
1768C2×C42—591no—
1769C2×C42—591no—
1770C2×C42—592no—
1771C2×C42—594no—
1772C2×C42—592no—
1773C2×C42—592no—
1774C2×C42—591no—
1775C2×C42—591no—
1776C2×C42—592no—
1777C2×C42—591no—
1778C2×C42C22×D5911yescharacteristic, complemented
1779C24—591no—
1780C24—592no—
1781C24—594no—
1782C24—592no—
1783C24—592no—
1784C24—592no—
1785C24—592no—
1786C24—594no—
1787C24—592no—
1788C24—1188no—
1789C24—2364no—
1790C24—2368no—
1791C24—2368no—
1792C24C23×D5912yes—
1793C24C23×D5912yes—
1794#41—44no—
1795#41—2364no—
1796#41—2368no—
1797#41—2368no—
1798#41—2364no—
1799#41—2364no—
1800C2×Q8—42no—
1801C2×Q8—592no—
1802C2×Q8—594no—
1803C2×Q8—592no—
1804C2×Q8—591no—
1805C2×Q8—592no—
1806C2×Q8—592no—
1807C2×Q8—592no—
1808C2×Q8—594no—
1809C2×Q8—592no—
1810C2×Q8—591no—
1811C2×Q8—592no—
1812C2×Q8—2362no—
1813C2×Q8—2364no—
1814C2×Q8—2362no—
1815C2×Q8—2364no—
1816C2×Q8—2362no—
1817C2×Q8—2362no—
1818C2×Q8—2364no—
1819C2×Q8—2362no—
1820C2×Q8—2364no—
1821C2×Q8—2364no—
1822C2×Q8C23×D5912yes—
1823C2×Q8C23×D5911yescharacteristic
1824C2×Q8C23×D5912yes—
1825C2×Q8C23×D5912yes—
1826C2×Q8C23×D5911yescharacteristic
1827C2×D4—42no—
1828C2×D4—44no—
1829C2×D4—594no—
1830C2×D4—594no—
1831C2×D4—594no—
1832C2×D4—594no—
1833C2×D4—594no—
1834C2×D4—594no—
1835C2×D4—594no—
1836C2×D4—594no—
1837C2×D4—592no—
1838C2×D4—592no—
1839C2×D4—592no—
1840C2×D4—594no—
1841C2×D4—594no—
1842C2×D4—592no—
1843C2×D4—594no—
1844C2×D4—594no—
1845C2×D4—594no—
1846C2×D4—592no—
1847C2×D4—592no—
1848C2×D4—591no—
1849C2×D4—592no—
1850C2×D4—594no—
1851C2×D4—591no—
1852C2×D4—11816no—
1853C2×D4—2362no—
1854C2×D4—2364no—
1855C2×D4—2362no—
1856C2×D4—2364no—
1857C2×D4—2362no—
1858C2×D4—2362no—
1859C2×D4—2364no—
1860C2×D4—2362no—
1861C2×D4—2368no—
1862C2×D4—2364no—
1863C2×D4—2368no—
1864C2×D4—2368no—
1865C2×D4—2364no—
1866C2×D4—2364no—
1867C2×D4—2368no—
1868C2×D4—2368no—
1869C2×D4—2364no—
1870C2×D4—2364no—
1871C2×D4C23×D5914yes—
1872C2×D4C23×D5914yes—
1873C2×D4C23×D5914yes—
1874C2×D4C23×D5912yes—
1875C2×D4C23×D5911yescharacteristic
1876C2×D4C23×D5912yes—
1877C2×D4C23×D5912yes—
1878C2×D4C23×D5914yes—
1879C2×D4C23×D5911yescharacteristic
1880C22×C4—591no—
1881C22×C4—592no—
1882C22×C4—592no—
1883C22×C4—594no—
1884C22×C4—594no—
1885C22×C4—594no—
1886C22×C4—592no—
1887C22×C4—592no—
1888C22×C4—594no—
1889C22×C4—592no—
1890C22×C4—592no—
1891C22×C4—591no—
1892C22×C4—591no—
1893C22×C4—591no—
1894C22×C4—591no—
1895C22×C4—594no—
1896C22×C4—594no—
1897C22×C4—592no—
1898C22×C4—592no—
1899C22×C4—592no—
1900C22×C4—592no—
1901C22×C4—592no—
1902C22×C4—594no—
1903C22×C4—594no—
1904C22×C4—594no—
1905C22×C4—594no—
1906C22×C4—594no—
1907C22×C4—594no—
1908C22×C4—594no—
1909C22×C4—1184no—
1910C22×C4—1188no—
1911C22×C4—2364no—
1912C22×C4—2368no—
1913C22×C4—2368no—
1914C22×C4—2364no—
1915C22×C4—2368no—
1916C22×C4C23×D5911yescharacteristic
1917C22×C4C23×D5912yes—
1918C22×C4C23×D5912yes—
1919C22×C4C23×D5914yes—
1920C22×C4C23×D5914yes—
1921C22×C4C23×D5914yes—
1922C22×C4C23×D5912yes—
1923C4⋊C4—594no—
1924C4⋊C4—594no—
1925C4⋊C4—594no—
1926C4⋊C4—594no—
1927C4⋊C4—594no—
1928C4⋊C4—594no—
1929C4⋊C4—594no—
1930C4⋊C4—594no—
1931C4⋊C4—594no—
1932C4⋊C4—594no—
1933C4⋊C4—594no—
1934C4⋊C4—594no—
1935C4⋊C4—594no—
1936C4⋊C4—594no—
1937C4⋊C4—594no—
1938C4⋊C4—594no—
1939C4⋊C4—594no—
1940C4⋊C4—594no—
1941C4⋊C4—594no—
1942C4⋊C4—592no—
1943C4⋊C4—594no—
1944C4⋊C4—592no—
1945C4⋊C4—594no—
1946C4⋊C4—594no—
1947C4⋊C4—594no—
1948C4⋊C4C23×D5914yes—
1949C4⋊C4C23×D5914yes—
1950C4⋊C4C23×D5914yes—
1951C4⋊C4C23×D5914yes—
1952C4⋊C4C23×D5914yes—
1953C4⋊C4C23×D5914yes—
1954C4⋊C4C23×D5912yes—
1955C4⋊C4C23×D5912yes—
1956C4⋊C4C23×D5914yes—
1957C22⋊C4—594no—
1958C22⋊C4—594no—
1959C22⋊C4—594no—
1960C22⋊C4—594no—
1961C22⋊C4—594no—
1962C22⋊C4—594no—
1963C22⋊C4—592no—
1964C22⋊C4—592no—
1965C22⋊C4—594no—
1966C22⋊C4—594no—
1967C22⋊C4—594no—
1968C22⋊C4—594no—
1969C22⋊C4—594no—
1970C22⋊C4—594no—
1971C22⋊C4—594no—
1972C22⋊C4—594no—
1973C22⋊C4—594no—
1974C22⋊C4—594no—
1975C22⋊C4—594no—
1976C22⋊C4—594no—
1977C22⋊C4—594no—
1978C22⋊C4—594no—
1979C22⋊C4—594no—
1980C22⋊C4—594no—
1981C22⋊C4—594no—
1982C22⋊C4—594no—
1983C22⋊C4—594no—
1984C22⋊C4—594no—
1985C22⋊C4—594no—
1986C22⋊C4—594no—
1987C22⋊C4—594no—
1988C22⋊C4—594no—
1989C22⋊C4—594no—
1990C22⋊C4—594no—
1991C22⋊C4—594no—
1992C22⋊C4—594no—
1993C22⋊C4—594no—
1994C22⋊C4—594no—
1995C22⋊C4—594no—
1996C22⋊C4—594no—
1997C22⋊C4—594no—
1998C22⋊C4—594no—
1999C22⋊C4—594no—
2000C22⋊C4C23×D5914yes—
2001C22⋊C4C23×D5914yes—
2002C22⋊C4C23×D5914yes—
2003C22⋊C4C23×D5914yes—
2004C22⋊C4C23×D5914yes—
2005C22⋊C4C23×D5912yes—
2006C22⋊C4C23×D5914yes—
2007C22⋊C4C23×D5912yes—
2008C22⋊C4C23×D5914yes—
2009C22⋊C4C23×D5914yes—
2010C22⋊C4C23×D5914yes—
2011C22⋊C4C23×D5914yes—
2012C22⋊C4C23×D5914yes—
2013C22⋊C4C23×D5914yes—
2014C22⋊C4C23×D5914yes—
2015C42—591no—
2016C42—592no—
2017C42—592no—
2018C42—592no—
2019C42—592no—
2020C42—591no—
2021C42—592no—
2022C42—592no—
2023C42—594no—
2024C42—594no—
2025C42—594no—
2026C42—594no—
2027C42—594no—
2028C42—592no—
2029C42C23×D5911yescharacteristic
2030C42C23×D5912yes—
2031C42C23×D5911yescharacteristic
2032C42C23×D5912yes—
2033C42C23×D5914yes—
2034C42C23×D5912yes—
2035C23—24no—
2036C23—42no—
2037C23—44no—
2038C23—44no—
2039C23—591no—
2040C23—594no—
2041C23—591no—
2042C23—592no—
2043C23—594no—
2044C23—592no—
2045C23—1184no—
2046C23—1184no—
2047C23—1184no—
2048C23—1188no—
2049C23—1184no—
2050C23—1188no—
2051C23—1188no—
2052C23—1184no—
2053C23—1188no—
2054C23—1188no—
2055C23—1184no—
2056C23—47216no—
2057C23—47216no—
2058C23—2364no—
2059C23—2362no—
2060C23—2364no—
2061C23—2364no—
2062C23—2364no—
2063C23—2364no—
2064C23—2364no—
2065C23—2364no—
2066C23C24×D5912yes—
2067C23C24×D5914yes—
2068C23C24×D5912yes—
2069C23C24×D5911yescharacteristic
2070Q8—41no—
2071Q8—42no—
2072Q8—41no—
2073Q8—42no—
2074Q8—42no—
2075Q8—2362no—
2076Q8—2364no—
2077Q8—2362no—
2078Q8—2362no—
2079Q8—2361no—
2080Q8—2362no—
2081Q8—2361no—
2082Q8—2362no—
2083Q8—2362no—
2084Q8—2362no—
2085Q8—2364no—
2086D4—28no—
2087D4—41no—
2088D4—42no—
2089D4—41no—
2090D4—44no—
2091D4—44no—
2092D4—44no—
2093D4—42no—
2094D4—42no—
2095D4—1188no—
2096D4—1188no—
2097D4—1188no—
2098D4—2364no—
2099D4—2364no—
2100D4—2362no—
2101D4—2361no—
2102D4—2362no—
2103D4—2361no—
2104D4—2364no—
2105D4—2362no—
2106D4—2364no—
2107D4—2364no—
2108D4—2364no—
2109D4—2364no—
2110D4—2364no—
2111D4—2362no—
2112D4—2362no—
2113D4—2362no—
2114D4—2362no—
2115D4—2364no—
2116D4—2364no—
2117D4—2364no—
2118C2×C4—22no—
2119C2×C4—24no—
2120C2×C4—44no—
2121C2×C4—42no—
2122C2×C4—44no—
2123C2×C4—42no—
2124C2×C4—44no—
2125C2×C4—592no—
2126C2×C4—592no—
2127C2×C4—594no—
2128C2×C4—592no—
2129C2×C4—591no—
2130C2×C4—591no—
2131C2×C4—594no—
2132C2×C4—594no—
2133C2×C4—592no—
2134C2×C4—1184no—
2135C2×C4—1182no—
2136C2×C4—1182no—
2137C2×C4—1182no—
2138C2×C4—1182no—
2139C2×C4—1184no—
2140C2×C4—1184no—
2141C2×C4—1184no—
2142C2×C4—1184no—
2143C2×C4—1188no—
2144C2×C4—1188no—
2145C2×C4—1188no—
2146C2×C4—1184no—
2147C2×C4—1182no—
2148C2×C4—1184no—
2149C2×C4—2364no—
2150C2×C4—2362no—
2151C2×C4—2364no—
2152C2×C4—2364no—
2153C2×C4—2362no—
2154C2×C4—2364no—
2155C2×C4—2364no—
2156C2×C4—2364no—
2157C2×C4—2364no—
2158C2×C4—2364no—
2159C2×C4—2362no—
2160C2×C4—2364no—
2161C2×C4—2362no—
2162C2×C4—2364no—
2163C2×C4C24×D5912yes—
2164C2×C4C24×D5912yes—
2165C2×C4C24×D5914yes—
2166C2×C4C24×D5912yes—
2167C2×C4C24×D5911yescharacteristic
2168C2×C4C24×D5911yescharacteristic
2169C2×C4C24×D5914yes—
2170C2×C4C24×D5914yes—
2171C2×C4C24×D5912yes—
2172C22—22no—
2173C22—24no—
2174C22—22no—
2175C22—22no—
2176C22—24no—
2177C22—24no—
2178C22—24no—
2179C22—24no—
2180C22—84no—
2181C22—84no—
2182C22—592no—
2183C22—594no—
2184C22—592no—
2185C22—1188no—
2186C22—1182no—
2187C22—1184no—
2188C22—1182no—
2189C22—1182no—
2190C22—1184no—
2191C22—1184no—
2192C22—1184no—
2193C22—1184no—
2194C22—4724no—
2195C22—4724no—
2196C22—4724no—
2197C22—4724no—
2198C22—4728no—
2199C22—2368no—
2200C22—23616no—
2201C22—2368no—
2202C22H(5,𝔽2)×D5912yes—
2203C22C25×D5911yescharacteristic
2204C4—22no—
2205C4—21no—
2206C4—21no—
2207C4—22no—
2208C4—24no—
2209C4—22no—
2210C4—24no—
2211C4—22no—
2212C4—24no—
2213C4—1182no—
2214C4—1181no—
2215C4—1181no—
2216C4—1182no—
2217C4—1184no—
2218C4—1182no—
2219C4—1184no—
2220C4—1182no—
2221C4—1184no—
2222C2—22no—
2223C2—42no—
2224C2—44no—
2225C2—42no—
2226C2—594no—
2227C2—1182no—
2228C2—2362no—
2229C2—2364no—
2230C2—2362no—
2231C2C2×H(5,𝔽2)×D5911yescharacteristic
2232C2#585×D5912yes—
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3545C2
hypercenter#3545D59
hypocenterC59C2×#3545
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3545

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21438454C2semidirect
2. #21438453C2semidirect
3. #21438452C2semidirect
4. #21438451C2semidirect
5. #21438450C2semidirect
6. #21438449C2semidirect
7. #21438448C2semidirect
8. #21438447C2semidirect
9. #21438446C2semidirect
10. #21438445C2semidirect
11. #21438444C2semidirect
12. #21438443C2semidirect
13. #21438442C2semidirect
14. #563×D59C2semidirect
15. #562×D59C2semidirect
16. H(3,𝔽4)×D59C2semidirect
17. #555×D59C2semidirect
18. #551×D59C2semidirect
19. #551×D59C2semidirect
20. #546×D59C2semidirect
21. #542×D59C2semidirect
22. #538×D59C2semidirect
23. #536×D59C2semidirect
24. #534×D59C2semidirect
25. #529×D59C2semidirect
26. C2×#124×D59C2semidirect
27. C59×#3545C2semidirect
29. C22×Q8×D59C22semidirect
31. C22×D4×D59C22semidirect
32. #16838156C22semidirect
33. #16838155C22semidirect
34. #16838154C22semidirect
35. #16838153C22semidirect
36. #16838152C22semidirect
37. #16838151C22semidirect
38. #16838150C22semidirect
39. #16838149C22semidirect
40. #16838149C22semidirect
41. #16838148C22semidirect
42. #16838148C22semidirect
43. #16838147C22semidirect
44. #16838147C22semidirect
45. #16838146C22semidirect
46. #16838146C22semidirect
47. #16838145C22semidirect
48. #16838145C22semidirect
49. #16838144C22semidirect
50. #16838144C22semidirect
51. #16838144C22semidirect
52. #16838144C22semidirect
53. #16838118C22semidirect
54. #16838117C22semidirect
55. #16838116C22semidirect
56. #16838116C22semidirect
57. #16838115C22semidirect
58. #16838115C22semidirect
59. #16838114C22semidirect
60. #16838114C22semidirect
61. #16838114C22semidirect
62. #16838083C22semidirect
63. #16838083C22semidirect
64. #16838082C22semidirect
65. #16838082C22semidirect
66. #16838081C22semidirect
67. #16838081C22semidirect
68. #16838081C22semidirect
69. #16838080C22semidirect
70. #16838080C22semidirect
71. #16838079C22semidirect
72. #16838079C22semidirect
73. #16838079C22semidirect
74. #16838078C22semidirect
75. #16838078C22semidirect
76. #16838078C22semidirect
77. #16838077C22semidirect
78. #16838077C22semidirect
79. #16838077C22semidirect
80. #16838076C22semidirect
81. #16838076C22semidirect
82. #16838076C22semidirect
83. #16838075C22semidirect
84. #16838075C22semidirect
85. #16838075C22semidirect
86. #16838049C22semidirect
87. #16838048C22semidirect
88. #16838047C22semidirect
89. #16838046C22semidirect
90. #16838045C22semidirect
91. #16838044C22semidirect
92. #16838044C22semidirect
93. #16838043C22semidirect
94. #16838042C22semidirect
95. #16838042C22semidirect
96. #16838041C22semidirect
97. #16838041C22semidirect
98. #16838040C22semidirect
99. #16838039C22semidirect
100. #16838039C22semidirect
101. #16838026C22semidirect
102. #16838025C22semidirect
103. #16838024C22semidirect
104. #16838023C22semidirect
105. #16838022C22semidirect
106. #16838022C22semidirect
107. #16838021C22semidirect
108. #16838020C22semidirect
109. #16838020C22semidirect
110. #16838019C22semidirect
111. #16838018C22semidirect
112. #16838018C22semidirect
113. #16838017C22semidirect
114. #16838016C22semidirect
115. #16838016C22semidirect
116. #16837992C22semidirect
117. #16837991C22semidirect
118. #16837991C22semidirect
119. #16837990C22semidirect
120. #16837989C22semidirect
121. #16837988C22semidirect
122. #16837988C22semidirect
123. #16837987C22semidirect
124. #16837987C22semidirect
125. #16837986C22semidirect
126. #16837986C22semidirect
127. #16837985C22semidirect
128. #16837985C22semidirect
129. #16837984C22semidirect
130. #16837984C22semidirect
131. #16837978C22semidirect
132. #16837977C22semidirect
133. #16837977C22semidirect
134. #16837976C22semidirect
135. #16837975C22semidirect
136. #16837975C22semidirect
137. #16837974C22semidirect
138. #16837974C22semidirect
139. #16837973C22semidirect
140. #16837972C22semidirect
141. #16837972C22semidirect
142. #16837964C22semidirect
143. #16837963C22semidirect
144. #16837963C22semidirect
145. #16837963C22semidirect
146. #16837962C22semidirect
147. #16837962C22semidirect
148. #16837962C22semidirect
149. #16837961C22semidirect
150. #16837961C22semidirect
151. #16837960C22semidirect
152. #16837960C22semidirect
153. C4⋊Q8×D59C22semidirect
154. C4⋊Q8×D59C22semidirect
155. #16837939C22semidirect
156. #16837938C22semidirect
157. #16837937C22semidirect
158. #16837936C22semidirect
159. #16837935C22semidirect
160. #16837934C22semidirect
161. #16837933C22semidirect
162. #16837932C22semidirect
163. #16837931C22semidirect
164. #16837930C22semidirect
165. #16837929C22semidirect
166. #126×D59C22semidirect
167. #126×D59C22semidirect
168. #126×D59C22semidirect
169. #125×D59C22semidirect
170. C2×#14273716C22semidirect
171. C2×#14273715C22semidirect
172. C2×#14273714C22semidirect
173. C2×#14273713C22semidirect
176. #124×D59C22semidirect
177. #124×D59C22semidirect
178. #124×D59C22semidirect
179. #124×D59C22semidirect
180. #124×D59C22semidirect
181. #124×D59C22semidirect
182. #124×D59C22semidirect
183. #124×D59C22semidirect
184. #124×D59C22semidirect
185. #124×D59C22semidirect
186. #124×D59C22semidirect
187. #124×D59C22semidirect
188. #124×D59C22semidirect
190. #123×D59C22semidirect
191. #123×D59C22semidirect
192. #123×D59C22semidirect
193. #123×D59C22semidirect
194. #123×D59C22semidirect
195. #123×D59C22semidirect
196. C22⋊Q8×D59C22semidirect
197. C22⋊Q8×D59C22semidirect
198. C22⋊Q8×D59C22semidirect
199. C22⋊Q8×D59C22semidirect
200. C22⋊Q8×D59C22semidirect
203. #121×D59C22semidirect
204. #121×D59C22semidirect
205. #121×D59C22semidirect
208. #120×D59C22semidirect
209. #120×D59C22semidirect
210. C4×Q8×D59C22semidirect
211. C4×D4×D59C22semidirect
212. C4×D4×D59C22semidirect
213. C4×D4×D59C22semidirect
214. C4×D4×D59C22semidirect
215. #117×D59C22semidirect
216. #117×D59C22semidirect
217. #117×D59C22semidirect
218. C2×C22⋊C4×D59C22semidirect
219. C2×C22⋊C4×D59C22semidirect
220. C2×C22⋊C4×D59C22semidirect
221. C2×C42×D59C22semidirect
222. C59×#563C22semidirect
223. C59×#562C22semidirect
224. C59×H(3,𝔽4)C22semidirect
225. C59×#555C22semidirect
226. C59×#551C22semidirect
227. C59×#551C22semidirect
228. C59×#546C22semidirect
229. C59×#542C22semidirect
230. C59×#538C22semidirect
231. C59×#536C22semidirect
232. C59×#534C22semidirect
233. C59×#529C22semidirect
234. C2×#124×C59C22semidirect
243. C22×Dic118C23semidirect
244. C22×Dic118C23semidirect
251. C2×Q8×D59C23semidirect
252. C2×Q8×D59C23semidirect
253. C2×Q8×D59C23semidirect
255. C22×D236C23semidirect
257. C22×C22⋊D59C23semidirect
258. C22×C22⋊D59C23semidirect
273. C2×D4×D59C23semidirect
274. C2×D4×D59C23semidirect
282. #14273727C23semidirect
283. #14273727C23semidirect
284. #14273726C23semidirect
285. #14273726C23semidirect
286. #14273726C23semidirect
287. #14273726C23semidirect
288. #14273725C23semidirect
289. #14273725C23semidirect
290. #14273725C23semidirect
291. #14273725C23semidirect
292. #14273722C23semidirect
293. #14273722C23semidirect
294. #14273722C23semidirect
295. #14273722C23semidirect
296. #14273722C23semidirect
297. #14273722C23semidirect
298. #14273722C23semidirect
299. #14273722C23semidirect
300. #14273722C23semidirect
301. #14273721C23semidirect
302. #14273721C23semidirect
303. #14273721C23semidirect
304. #14273720C23semidirect
305. #14273720C23semidirect
306. #14273720C23semidirect
307. #14273720C23semidirect
308. #14273720C23semidirect
309. #14273720C23semidirect
310. #14273720C23semidirect
311. #14273720C23semidirect
312. #14273720C23semidirect
313. #14273719C23semidirect
314. #14273718C23semidirect
315. #14273718C23semidirect
316. #14273717C23semidirect
317. #14273717C23semidirect
320. #14273716C23semidirect
321. #14273716C23semidirect
322. #14273716C23semidirect
323. #14273716C23semidirect
324. #14273716C23semidirect
325. #14273716C23semidirect
326. #14273716C23semidirect
327. #14273716C23semidirect
330. #14273715C23semidirect
331. #14273715C23semidirect
332. #14273715C23semidirect
333. #14273715C23semidirect
334. #14273715C23semidirect
335. #14273715C23semidirect
336. #14273715C23semidirect
337. #14273715C23semidirect
340. #14273714C23semidirect
341. #14273714C23semidirect
342. #14273714C23semidirect
343. #14273714C23semidirect
344. #14273714C23semidirect
345. #14273714C23semidirect
346. #14273714C23semidirect
347. #14273714C23semidirect
350. #14273713C23semidirect
351. #14273713C23semidirect
352. #14273713C23semidirect
353. #14273713C23semidirect
354. #14273713C23semidirect
355. #14273713C23semidirect
356. #14273713C23semidirect
357. #14273713C23semidirect
358. #14273713C23semidirect
359. #14273713C23semidirect
360. #14273713C23semidirect
361. #14273713C23semidirect
362. #14273713C23semidirect
363. #14273713C23semidirect
364. #14273713C23semidirect
365. #14273713C23semidirect
366. #14273713C23semidirect
367. #14273713C23semidirect
368. #14273713C23semidirect
369. #14273713C23semidirect
371. #14273712C23semidirect
372. #14273712C23semidirect
373. #14273712C23semidirect
374. #14273712C23semidirect
375. #14273712C23semidirect
376. #14273712C23semidirect
377. #14273712C23semidirect
378. #14273712C23semidirect
379. #14273712C23semidirect
380. #14273712C23semidirect
381. #14273712C23semidirect
383. #14273711C23semidirect
384. #14273711C23semidirect
385. #14273711C23semidirect
386. #14273711C23semidirect
387. #14273711C23semidirect
388. #14273711C23semidirect
390. #14273710C23semidirect
391. #14273710C23semidirect
392. #14273710C23semidirect
393. #14273710C23semidirect
394. #14273710C23semidirect
395. #14273710C23semidirect
397. #14273709C23semidirect
398. #14273709C23semidirect
399. #14273709C23semidirect
400. #14273709C23semidirect
401. #14273709C23semidirect
402. #14273709C23semidirect
403. #14273709C23semidirect
404. #14273709C23semidirect
405. #14273709C23semidirect
406. #14273709C23semidirect
407. #14273709C23semidirect
409. #14273708C23semidirect
410. #14273708C23semidirect
411. #14273708C23semidirect
412. #14273708C23semidirect
413. #14273708C23semidirect
414. #14273708C23semidirect
415. #14273707C23semidirect
416. #14273707C23semidirect
417. #14273707C23semidirect
418. #14273707C23semidirect
419. #14273707C23semidirect
420. #14273706C23semidirect
421. #14273706C23semidirect
422. #14273706C23semidirect
423. #14273706C23semidirect
424. #14273706C23semidirect
425. #14273705C23semidirect
426. #14273705C23semidirect
427. #14273705C23semidirect
428. #14273705C23semidirect
429. #14273705C23semidirect
430. #14273705C23semidirect
431. #14273705C23semidirect
432. #14273705C23semidirect
433. #14273705C23semidirect
434. #14273704C23semidirect
435. #14273704C23semidirect
436. #14273704C23semidirect
437. #14273704C23semidirect
438. #14273704C23semidirect
439. #14273704C23semidirect
440. #14273704C23semidirect
441. #14273704C23semidirect
442. #14273704C23semidirect
443. #14273703C23semidirect
444. #14273703C23semidirect
445. #14273703C23semidirect
446. #14273703C23semidirect
447. #14273703C23semidirect
450. #14273702C23semidirect
451. #14273702C23semidirect
452. #14273702C23semidirect
455. #14273701C23semidirect
456. #14273701C23semidirect
457. #14273701C23semidirect
461. #14273700C23semidirect
462. #14273700C23semidirect
463. #14273700C23semidirect
464. #14273700C23semidirect
465. #14273700C23semidirect
466. #14273700C23semidirect
470. #14273699C23semidirect
471. #14273699C23semidirect
472. #14273699C23semidirect
473. #14273699C23semidirect
474. #14273699C23semidirect
475. #14273699C23semidirect
478. #14273698C23semidirect
479. #14273698C23semidirect
480. #14273698C23semidirect
486. #14273697C23semidirect
487. #14273697C23semidirect
488. #14273697C23semidirect
489. #14273697C23semidirect
490. #14273697C23semidirect
493. #14273696C23semidirect
494. #14273696C23semidirect
500. #14273695C23semidirect
501. #14273695C23semidirect
502. #14273695C23semidirect
503. #14273695C23semidirect
504. #14273695C23semidirect
505. Q8×Dic59C23semidirect
506. C4×Dic118C23semidirect
507. C4×Dic118C23semidirect
508. #14273692C23semidirect
509. #14273692C23semidirect
510. C4×D236C23semidirect
511. C4×D236C23semidirect
512. C4×D236C23semidirect
513. C4×D236C23semidirect
514. D4×Dic59C23semidirect
515. D4×Dic59C23semidirect
516. D4×Dic59C23semidirect
517. D4×Dic59C23semidirect
518. #14273689C23semidirect
519. #14273689C23semidirect
520. #14273689C23semidirect
521. #14273689C23semidirect
522. C4×C22⋊D59C23semidirect
523. C4×C22⋊D59C23semidirect
524. C4×C22⋊D59C23semidirect
525. C4×C22⋊D59C23semidirect
526. C4×C22⋊D59C23semidirect
527. C4×C22⋊D59C23semidirect
528. C4×C22⋊D59C23semidirect
529. (C22⋊D59)⋊C4C23semidirect
530. (C22⋊D59)⋊C4C23semidirect
531. (C22⋊D59)⋊C4C23semidirect
532. (C22⋊D59)⋊C4C23semidirect
533. (C22⋊D59)⋊C4C23semidirect
534. (C22⋊D59)⋊C4C23semidirect
535. (C22⋊D59)⋊C4C23semidirect
536. #14273686C23semidirect
537. #14273686C23semidirect
538. #14273686C23semidirect
539. #14273685C23semidirect
540. #14273685C23semidirect
541. #14273685C23semidirect
542. #14273685C23semidirect
543. #14273685C23semidirect
544. #14273684C23semidirect
545. #14273684C23semidirect
546. #14273684C23semidirect
547. #14273684C23semidirect
548. #14273684C23semidirect
549. #14273684C23semidirect
550. #14273683C23semidirect
551. #14273683C23semidirect
552. #14273683C23semidirect
553. #14273683C23semidirect
554. #14273683C23semidirect
564. C2×C22⋊Dic59C23semidirect
565. C2×C22⋊Dic59C23semidirect
566. C2×C22⋊Dic59C23semidirect
567. C2×(C2×D59)⋊C4C23semidirect
568. C2×(C2×D59)⋊C4C23semidirect
569. C2×(C2×D59)⋊C4C23semidirect
570. C2×(C2×D59)⋊C4C23semidirect
571. C2×(C2×D59)⋊C4C23semidirect
587. C22⋊C4×D59C23semidirect
588. C22⋊C4×D59C23semidirect
589. C22⋊C4×D59C23semidirect
590. C22⋊C4×D59C23semidirect
591. C22⋊C4×D59C23semidirect
592. C22⋊C4×D59C23semidirect
593. C22⋊C4×D59C23semidirect
594. C22⋊C4×D59C23semidirect
595. C22⋊C4×D59C23semidirect
596. C22⋊C4×D59C23semidirect
597. C22⋊C4×D59C23semidirect
598. C2×C4×Dic59C23semidirect
599. C2×C4×Dic59C23semidirect
606. C42×D59C23semidirect
607. C42×D59C23semidirect
608. C42×D59C23semidirect
610. C22×Q8×C59C23semidirect
612. C22×D4×C59C23semidirect
613. C4⋊Q8×C59C23semidirect
614. C4⋊Q8×C59C23semidirect
615. #126×C59C23semidirect
616. #126×C59C23semidirect
617. #126×C59C23semidirect
618. #125×C59C23semidirect
621. #124×C59C23semidirect
622. #124×C59C23semidirect
623. #124×C59C23semidirect
624. #124×C59C23semidirect
625. #124×C59C23semidirect
626. #124×C59C23semidirect
627. #124×C59C23semidirect
628. #124×C59C23semidirect
630. #123×C59C23semidirect
631. #123×C59C23semidirect
632. #123×C59C23semidirect
633. #123×C59C23semidirect
634. #123×C59C23semidirect
635. #123×C59C23semidirect
636. C22⋊Q8×C59C23semidirect
637. C22⋊Q8×C59C23semidirect
638. C22⋊Q8×C59C23semidirect
639. C22⋊Q8×C59C23semidirect
640. C22⋊Q8×C59C23semidirect
643. #121×C59C23semidirect
644. #121×C59C23semidirect
645. #121×C59C23semidirect
648. #120×C59C23semidirect
649. #120×C59C23semidirect
650. C4×Q8×C59C23semidirect
651. C4×D4×C59C23semidirect
652. C4×D4×C59C23semidirect
653. C4×D4×C59C23semidirect
654. C4×D4×C59C23semidirect
655. #117×C59C23semidirect
656. #117×C59C23semidirect
657. #117×C59C23semidirect
658. C2×C22⋊C4×C59C23semidirect
659. C2×C22⋊C4×C59C23semidirect
660. C2×C22⋊C4×C59C23semidirect
661. C2×C42×C59C23semidirect
1119. #3545D59direct (N × H)
1143. D59#3545direct (N × H)
1154. #563C2×D59semidirect
1164. #562C2×D59semidirect
1171. H(3,𝔽4)C2×D59semidirect
1181. #555C2×D59semidirect
1206. #551C2×D59semidirect
1207. #551C2×D59semidirect
1223. #546C2×D59semidirect
1239. #542C2×D59semidirect
1255. #538C2×D59semidirect
1267. #536C2×D59semidirect
1279. #534C2×D59semidirect
1293. #529C2×D59semidirect
1317. C2×#124C2×D59semidirect
1351. C59C2×#3545semidirect
1372. C22×Q8C22×D59semidirect
1395. C22×D4C22×D59semidirect
1413. C4⋊Q8C22×D59semidirect
1414. C4⋊Q8C22×D59semidirect
1436. #126C22×D59semidirect
1437. #126C22×D59semidirect
1438. #126C22×D59semidirect
1444. #125C22×D59semidirect
1499. #124C22×D59semidirect
1500. #124C22×D59semidirect
1501. #124C22×D59semidirect
1502. #124C22×D59semidirect
1503. #124C22×D59semidirect
1504. #124C22×D59semidirect
1505. #124C22×D59semidirect
1506. #124C22×D59semidirect
1553. #123C22×D59semidirect
1554. #123C22×D59semidirect
1555. #123C22×D59semidirect
1556. #123C22×D59semidirect
1557. #123C22×D59semidirect
1558. #123C22×D59semidirect
1592. C22⋊Q8C22×D59semidirect
1593. C22⋊Q8C22×D59semidirect
1594. C22⋊Q8C22×D59semidirect
1595. C22⋊Q8C22×D59semidirect
1596. C22⋊Q8C22×D59semidirect
1632. #121C22×D59semidirect
1633. #121C22×D59semidirect
1634. #121C22×D59semidirect
1661. #120C22×D59semidirect
1662. #120C22×D59semidirect
1668. C4×Q8C22×D59semidirect
1695. C4×D4C22×D59semidirect
1696. C4×D4C22×D59semidirect
1697. C4×D4C22×D59semidirect
1698. C4×D4C22×D59semidirect
1718. #117C22×D59semidirect
1719. #117C22×D59semidirect
1720. #117C22×D59semidirect
1764. C2×C22⋊C4C22×D59semidirect
1765. C2×C22⋊C4C22×D59semidirect
1766. C2×C22⋊C4C22×D59semidirect
1778. C2×C42C22×D59semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214384542
#214384532
#214384522
#214384512
#214384502
#214384492
#214384482
#214384472
#214384462
#214384452
#214384442
#214384432
#214384422
#563×D592
#562×D592
H(3,𝔽4)×D592
#555×D592
#551×D592
#546×D592
#542×D592
#538×D592
#536×D592
#534×D592
#529×D592
C2×#124×D592
C59×#35452
C2×#354559