Finite Group Databasebeta

← #29496710

Subgroups — #29496710

Order 15104.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438134C214yesmaximal, complemented
2#21438117C214yesmaximal, complemented
3#21438029C214yesmaximal, complemented
4#21438023C214yesmaximal, complemented
5#21437943C212yesmaximal, complemented
6#21437934C212yesmaximal, complemented
7#21437926C212yesmaximal, complemented
8#21437896C211yesmaximal, characteristic, complemented
9#21437857C211yesmaximal, characteristic, complemented
10#21437797C212yesmaximal, complemented
11#21437785C211yesmaximal, characteristic, complemented
12#21437779C212yesmaximal, complemented
13#21437725C212yesmaximal, complemented
14#21437701C214yesmaximal, complemented
15#21437699C214yesmaximal, complemented
16#21437651C214yesmaximal, complemented
17#21437580C214yesmaximal, complemented
18#21437515C212yesmaximal, complemented
19#21437508C211yesmaximal, characteristic, complemented
20#21437507C212yesmaximal, complemented
21#21437502C211yesmaximal, characteristic, complemented
22#21437388C212yesmaximal, complemented
23C2×#16837908C212yesmaximal, complemented
24#525×D59C212yesmaximal, complemented
25#21437300C212yesmaximal, complemented
26C22×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
27C59×#3490C211yesmaximal, characteristic, complemented
28C2×#14273772C2212yes—
29C22×#11745687C2212yescomplemented
30C2×#41×D59C2212yescomplemented
31C23×C22⋊D59C2211yescharacteristic
32C24×Dic59C2211yescharacteristic, complemented
33C23×C4×D59C2211yescharacteristic, complemented
34#16838136C2214yescomplemented
35#16838134C2214yescomplemented
36#16838119C2214yescomplemented
37#16838114C2214yescomplemented
38#16838111C2214yescomplemented
39#16838110C2214yescomplemented
40#16838106C2214yescomplemented
41#16838106C2214yescomplemented
42#16838106C2214yescomplemented
43#16838103C2214yescomplemented
44#16838103C2214yescomplemented
45#16838101C2214yescomplemented
46#16838101C2214yescomplemented
47#16838101C2214yescomplemented
48#16838099C2214yescomplemented
49#16838098C2214yescomplemented
50#16838097C2214yescomplemented
51#16838095C2214yescomplemented
52#16838095C2214yescomplemented
53#16838089C2214yescomplemented
54#16838088C2214yescomplemented
55#16838085C2214yescomplemented
56#16838085C2214yescomplemented
57#16838082C2214yescomplemented
58#16838081C2214yescomplemented
59#16838079C2214yescomplemented
60#16838078C2214yescomplemented
61#16838078C2214yescomplemented
62#16838078C2214yescomplemented
63#16838076C2214yescomplemented
64#16838076C2214yescomplemented
65#16838075C2214yescomplemented
66#16838075C2214yescomplemented
67#16838070C2214yescomplemented
68#16838065C2214yescomplemented
69#16838061C2214yescomplemented
70#16838060C2214yescomplemented
71#16838051C2214yescomplemented
72#16838050C2214yescomplemented
73#16838050C2214yescomplemented
74#16838050C2214yescomplemented
75#16838047C2214yescomplemented
76#16838044C2214yescomplemented
77#16838044C2214yescomplemented
78#16838042C2214yescomplemented
79#16838042C2214yescomplemented
80#16838042C2214yescomplemented
81#16838042C2214yescomplemented
82#16838042C2214yescomplemented
83#16838041C2214yescomplemented
84#16838041C2214yescomplemented
85#16838040C2214yescomplemented
86#16838039C2214yescomplemented
87#16838039C2214yescomplemented
88#16838039C2214yescomplemented
89D4×C22⋊D59C2214yescomplemented
90D4×C22⋊D59C2214yescomplemented
91#16838034C2214yescomplemented
92#16838034C2214yescomplemented
93#16838034C2214yescomplemented
94#16838031C2212yescomplemented
95#16838028C2211yescharacteristic, complemented
96#16838027C2212yescomplemented
97#16838018C2214yescomplemented
98#16838016C2214yescomplemented
99#16838004C2214yescomplemented
100#16838002C2214yescomplemented
101#16838001C2212yescomplemented
102#16838001C2214yescomplemented
103#16837997C2212yescomplemented
104#16837996C2214yescomplemented
105#16837995C2214yescomplemented
106#16837994C2214yescomplemented
107#16837993C2214yescomplemented
108#16837992C2212yescomplemented
109#16837992C2214yescomplemented
110#16837990C2212yescomplemented
111#16837990C2212yescomplemented
112#16837989C2212yescomplemented
113#16837987C2214yescomplemented
114#16837986C2214yescomplemented
115#16837985C2214yescomplemented
116#16837984C2214yescomplemented
117#16837979C2212yescomplemented
118#16837967C2214yescomplemented
119#16837964C2212yescomplemented
120#16837964C2211yescharacteristic, complemented
121#16837962C2214yescomplemented
122#16837961C2212yescomplemented
123#16837960C2212yescomplemented
124#16837955C2212yescomplemented
125#16837954C2212yescomplemented
126#16837954C2212yescomplemented
127#16837951C2214yescomplemented
128#16837948C2212yescomplemented
129#16837947C2212yescomplemented
130#16837947C2212yescomplemented
131#16837947C2214yescomplemented
132#16837938C2212yescomplemented
133#16837938C2212yescomplemented
134#16837938C2214yescomplemented
135#16837935C2214yescomplemented
136#16837935C2214yescomplemented
137#16837933C2212yescomplemented
138#16837933C2212yescomplemented
139#16837932C2214yescomplemented
140#16837932C2214yescomplemented
141#16837931C2214yescomplemented
142#16837929C2214yescomplemented
143#16837929C2214yescomplemented
144#16837929C2214yescomplemented
145#16837929C2214yescomplemented
146#16837915C2212yescomplemented
147#16837915C2212yescomplemented
148#16837915C2214yescomplemented
149#16837914C2212yescomplemented
150#16837913C2212yescomplemented
151#16837913C2212yescomplemented
152#16837912C2212yescomplemented
153#16837912C2212yescomplemented
154#16837912C2214yescomplemented
155#16837911C2214yescomplemented
156#16837911C2214yescomplemented
157#16837910C2214yescomplemented
158#16837910C2214yescomplemented
159#16837909C2212yescomplemented
160#16837908C2214yescomplemented
161#16837908C2214yescomplemented
162#16837908C2214yescomplemented
163#16837908C2214yescomplemented
164#16837908C2214yescomplemented
165#16837908C2214yescomplemented
166#16837908C2214yescomplemented
167#16837908C2214yescomplemented
168#16837908C2214yescomplemented
169#16837908C2214yescomplemented
170C2×#14273711C2212yescomplemented
171C2×#14273708C2212yescomplemented
172#123×D59C2214yescomplemented
173C2×#14273704C2212yescomplemented
174C2×#14273704C2212yescomplemented
175C22⋊Q8×D59C2212yescomplemented
176C22⋊Q8×D59C2212yescomplemented
177C2×#14273699C2212yescomplemented
178C2×#14273699C2212yescomplemented
179#121×D59C2212yescomplemented
180#121×D59C2212yescomplemented
181C2×#14273696C2212yescomplemented
182#120×D59C2214yescomplemented
183#16837882C2214yescomplemented
184#16837881C2214yescomplemented
185#16837881C2214yescomplemented
186#16837875C2212yes—
187#16837875C2212yescomplemented
188#16837875C2214yescomplemented
189#16837874C2214yescomplemented
190#16837874C2214yescomplemented
191#41×Dic59C2212yescomplemented
192#16837870C2212yescomplemented
193#16837870C2214yescomplemented
194C4×#11745687C2214yescomplemented
195C4×#11745687C2214yescomplemented
196C4×#11745687C2214yescomplemented
197C2×D4×Dic59C2212yescomplemented
198C2×D4×Dic59C2212yescomplemented
199C2×(C22⋊D59)⋊C4C2211yescharacteristic
200C2×(C22⋊D59)⋊C4C2211yescharacteristic
201C2×(C22⋊D59)⋊C4C2214yescomplemented
202C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
203C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
204C2×(C22⋊D59)⋊C4C2214yescomplemented
205C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
206C2×(C22⋊D59)⋊C4C2214yescomplemented
207C2×(C22⋊D59)⋊C4C2214yescomplemented
208C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
209C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
210C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
211C2×(C22⋊D59)⋊C4C2212yescomplemented
212C2×(C22⋊D59)⋊C4C2212yescomplemented
213C2×(C22⋊D59)⋊C4C2214yescomplemented
214C4×D4×D59C2214yescomplemented
215C4×D4×D59C2214yescomplemented
216C4×D4×D59C2214yescomplemented
217C2×#14273683C2212yescomplemented
218#117×D59C2212yescomplemented
219C22×Dic59⋊C4C2211yescharacteristic, complemented
220C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
221C22×C4×Dic59C2211yescharacteristic, complemented
222C59×#551C2214yescomplemented
223C59×#551C2214yescomplemented
224C59×#546C2214yescomplemented
225C59×#546C2214yescomplemented
226C59×#543C2211yescharacteristic, complemented
227C59×#538C2212yescomplemented
228C59×#538C2212yescomplemented
229C59×#534C2211yescharacteristic, complemented
230C59×#525C2212yescomplemented
231C59×#525C2212yescomplemented
232C2×#120×C59C2212yescomplemented
233C59×#518C2212yescomplemented
234C22×C22⋊C4×C59C2211yescharacteristic, complemented
235C24×D59C2311yescharacteristic
236#14273772—216no—
237C2×#11745689C2312yescomplemented
238C2×#11745685C2314yes—
239C2×#11745685C2312yes—
240C2×#11745685C2312yes—
241C2×#11745685C2314yescomplemented
242C2×#11745687—48no—
243C2×#11745687C2314yes—
244C2×#11745687C2314yes—
245C2×#11745687C2314yes—
246C2×#11745687C2314yes—
247C2×#11745687C2314yescomplemented
248C2×#11745687C2312yescomplemented
249C2×#11745687C2314yescomplemented
250#41×D59—48no—
251C22×Dic118C2312yescomplemented
252C2×Q8×D59C2312yescomplemented
253C22×C22⋊D59—28no—
254C22×C22⋊D59C2312yes—
255C22×C22⋊D59C2311yescharacteristic
256C22×C22⋊D59C2311yescharacteristic
257C22×C22⋊D59C2311yescharacteristic
258C22×C22⋊D59C2314yes—
259C22×C22⋊D59C2314yes—
260C22×C22⋊D59C2314yes—
261C22×C22⋊D59C2312yes—
262C22×C22⋊D59C2312yes—
263C22×C22⋊D59C2311yescharacteristic
264C22×C22⋊D59C2312yescomplemented
265C2×D4×D59C2314yes—
266C2×D4×D59C2314yes—
267C2×D4×D59C2314yes—
268C2×D4×D59C2314yes—
269C2×D4×D59C2312yescomplemented
270C23×Dic59—44no—
271C23×Dic59C2311yescharacteristic
272C23×Dic59C2311yescharacteristic
273C23×Dic59C2312yes—
274C23×Dic59C2311yescharacteristic
275C23×Dic59C2312yes—
276C23×Dic59C2312yes—
277C23×Dic59C2311yescharacteristic
278C23×Dic59C2311yescharacteristic
279C23×Dic59C2311yescharacteristic
280C23×Dic59C2312yes—
281C23×Dic59C2311yescharacteristic
282C23×Dic59C2312yescomplemented
283C22×C4×D59—44no—
284C22×C4×D59C2312yes—
285C22×C4×D59C2311yescharacteristic
286C22×C4×D59C2312yes—
287C22×C4×D59C2312yes—
288C22×C4×D59C2311yescharacteristic
289C22×C4×D59C2311yescharacteristic
290C22×C4×D59C2312yes—
291C22×C4×D59C2311yescharacteristic
292C22×C4×D59C2314yescomplemented
293C22×C4×D59C2312yescomplemented
294#14273726C2312yescomplemented
295#14273726C2312yescomplemented
296#14273726C2314yescomplemented
297#14273725C2312yescomplemented
298#14273725C2314yescomplemented
299#14273723C2314yes—
300#14273723C2314yes—
301#14273723C2312yescomplemented
302#14273722C2314yescomplemented
303#14273722C2314yescomplemented
304#14273722C2314yescomplemented
305#14273722C2314yescomplemented
306#14273722C2314yescomplemented
307#14273722C2314yescomplemented
308#14273721C2314yescomplemented
309#14273721C2314yescomplemented
310#14273720C2314yescomplemented
311#14273720C2314yescomplemented
312#14273720C2314yescomplemented
313#14273720C2314yescomplemented
314#14273720C2314yescomplemented
315#14273720C2314yescomplemented
316#14273719C2314yescomplemented
317#14273718C2312yescomplemented
318#14273718C2312yescomplemented
319#14273718C2314yescomplemented
320#14273717C2314yescomplemented
321#14273717C2314yescomplemented
322#14273717C2314yescomplemented
323#14273717C2314yescomplemented
324#14273717C2314yescomplemented
325#14273717C2314yescomplemented
326#14273716C2312yescomplemented
327#14273716C2314yescomplemented
328#14273715C2314yescomplemented
329#14273714C2312yescomplemented
330#14273713C2314yes—
331#14273713C2314yes—
332#14273713C2314yescomplemented
333#14273713C2314yescomplemented
334#14273713C2314yescomplemented
335#14273713C2314yescomplemented
336#14273713C2314yescomplemented
337#14273713C2314yescomplemented
338#14273712C2314yescomplemented
339#14273712C2314yescomplemented
340#14273712C2314yescomplemented
341#14273712C2314yescomplemented
342#14273712C2314yescomplemented
343#14273712C2314yescomplemented
344#14273711C2314yes—
345#14273711C2314yes—
346#14273711C2314yes—
347#14273711C2314yes—
348#14273711C2314yescomplemented
349#14273711C2314yescomplemented
350#14273711C2314yescomplemented
351#14273711C2314yescomplemented
352#14273710C2314yes—
353#14273710C2314yes—
354#14273710C2314yes—
355#14273710C2314yescomplemented
356#14273710C2314yescomplemented
357#14273709C2314yes—
358#14273709C2314yes—
359#14273709C2314yescomplemented
360#14273709C2314yescomplemented
361#14273709C2314yescomplemented
362#14273709C2314yescomplemented
363#14273709C2314yescomplemented
364#14273709C2314yescomplemented
365#14273708C2314yes—
366#14273708C2314yes—
367#14273708C2314yes—
368#14273708C2314yescomplemented
369#14273708C2314yescomplemented
370#14273708C2314yescomplemented
371#14273707C2312yescomplemented
372#14273707C2312yescomplemented
373#14273707C2314yescomplemented
374#14273706C2312yes—
375#14273706C2312yes—
376#14273706C2312yes—
377#14273706C2312yes—
378#14273706C2314yescomplemented
379#14273705C2314yescomplemented
380#14273705C2314yescomplemented
381#14273705C2314yescomplemented
382#14273705C2314yescomplemented
383#14273705C2314yescomplemented
384#14273705C2314yescomplemented
385#14273704C2314yes—
386#14273704C2314yes—
387#14273704C2314yes—
388#14273704C2314yes—
389#14273704C2314yes—
390#14273704C2314yes—
391#14273704C2314yescomplemented
392#14273704C2314yescomplemented
393#14273704C2314yescomplemented
394#14273704C2314yescomplemented
395#14273704C2314yescomplemented
396#14273704C2314yescomplemented
397#14273704C2314yescomplemented
398#14273704C2314yescomplemented
399#14273703C2312yescomplemented
400#14273703C2312yescomplemented
401#14273703C2314yescomplemented
402#14273703C2314yescomplemented
403#14273702C2312yescomplemented
404#14273702C2312yescomplemented
405#14273702C2314yescomplemented
406#14273701C2312yes—
407#14273701C2312yes—
408#14273701C2312yes—
409#14273701C2312yes—
410#14273701C2314yes—
411#14273701C2314yes—
412#14273701C2314yescomplemented
413#14273700C2314yes—
414#14273700C2314yes—
415#14273700C2314yes—
416#14273700C2314yes—
417#14273700C2314yescomplemented
418#14273700C2314yescomplemented
419#14273700C2314yescomplemented
420#14273700C2314yescomplemented
421#14273700C2314yescomplemented
422#14273700C2314yescomplemented
423#14273699C2314yes—
424#14273699C2314yes—
425#14273699C2314yes—
426#14273699C2314yes—
427#14273699C2314yes—
428#14273699C2314yes—
429#14273699C2314yes—
430#14273699C2314yes—
431#14273699C2314yes—
432#14273699C2314yes—
433#14273699C2314yescomplemented
434#14273699C2314yescomplemented
435#14273699C2314yescomplemented
436#14273699C2314yescomplemented
437#14273699C2314yescomplemented
438#14273699C2314yescomplemented
439#14273698C2314yes—
440#14273698C2314yes—
441#14273698C2312yescomplemented
442#14273698C2312yescomplemented
443#14273697C2314yes—
444#14273697C2314yes—
445#14273697C2314yes—
446#14273697C2314yes—
447#14273697C2314yescomplemented
448#14273697C2314yescomplemented
449#14273696C2314yes—
450#14273696C2314yes—
451#14273696C2314yes—
452#14273696C2314yes—
453#14273696C2314yes—
454#14273695C2314yes—
455#14273695C2314yes—
456#14273695C2314yes—
457#14273695C2314yes—
458#14273695C2314yes—
459#14273695C2314yescomplemented
460Q8×Dic59C2312yescomplemented
461Q8×Dic59C2312yescomplemented
462C4×Dic118C2314yescomplemented
463C4×Dic118C2314yescomplemented
464C4×Dic118C2314yescomplemented
465#14273692C2312yescomplemented
466#14273692C2314yescomplemented
467#14273692C2314yescomplemented
468#14273692C2312yescomplemented
469#14273692C2314yescomplemented
470C4×D236C2314yescomplemented
471C4×D236C2314yescomplemented
472C4×D236C2314yescomplemented
473D4×Dic59C2314yes—
474D4×Dic59C2314yes—
475D4×Dic59C2314yes—
476D4×Dic59C2314yes—
477D4×Dic59C2314yes—
478D4×Dic59C2314yes—
479D4×Dic59C2314yescomplemented
480D4×Dic59C2312yescomplemented
481D4×Dic59C2314yescomplemented
482D4×Dic59C2314yescomplemented
483D4×Dic59C2314yescomplemented
484D4×Dic59C2312yescomplemented
485#14273689C2312yescomplemented
486#14273689C2314yescomplemented
487#14273689C2314yescomplemented
488#14273689C2312yescomplemented
489#14273689C2314yescomplemented
490C4×C22⋊D59C2314yes—
491C4×C22⋊D59C2314yes—
492C4×C22⋊D59C2314yes—
493C4×C22⋊D59C2314yes—
494C4×C22⋊D59C2314yes—
495C4×C22⋊D59C2314yes—
496C4×C22⋊D59C2314yescomplemented
497C4×C22⋊D59C2314yescomplemented
498C4×C22⋊D59C2314yescomplemented
499C4×C22⋊D59C2314yescomplemented
500C4×C22⋊D59C2314yescomplemented
501C4×C22⋊D59C2314yescomplemented
502(C22⋊D59)⋊C4C2314yes—
503(C22⋊D59)⋊C4C2314yes—
504(C22⋊D59)⋊C4C2314yes—
505(C22⋊D59)⋊C4C2314yes—
506(C22⋊D59)⋊C4C2314yes—
507(C22⋊D59)⋊C4C2314yes—
508(C22⋊D59)⋊C4C2314yes—
509(C22⋊D59)⋊C4C2314yes—
510(C22⋊D59)⋊C4C2314yes—
511(C22⋊D59)⋊C4C2314yes—
512(C22⋊D59)⋊C4C2314yes—
513(C22⋊D59)⋊C4C2314yes—
514(C22⋊D59)⋊C4C2314yes—
515(C22⋊D59)⋊C4C2314yes—
516(C22⋊D59)⋊C4C2314yes—
517(C22⋊D59)⋊C4C2314yes—
518(C22⋊D59)⋊C4C2314yes—
519(C22⋊D59)⋊C4C2314yes—
520(C22⋊D59)⋊C4C2314yes—
521(C22⋊D59)⋊C4C2314yes—
522(C22⋊D59)⋊C4C2314yes—
523(C22⋊D59)⋊C4C2314yes—
524(C22⋊D59)⋊C4C2314yes—
525(C22⋊D59)⋊C4C2314yes—
526(C22⋊D59)⋊C4C2314yescomplemented
527(C22⋊D59)⋊C4C2314yescomplemented
528(C22⋊D59)⋊C4C2314yescomplemented
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(C22⋊D59)⋊C4C2314yescomplemented
537(C22⋊D59)⋊C4C2314yescomplemented
538#14273686C2312yes—
539#14273686C2312yes—
540#14273686C2314yescomplemented
541#14273685C2312yescomplemented
542#14273685C2312yescomplemented
543#14273685C2314yescomplemented
544#14273685C2314yescomplemented
545#14273685C2314yescomplemented
546#14273684C2314yescomplemented
547#14273684C2314yescomplemented
548#14273684C2314yescomplemented
549#14273684C2314yescomplemented
550#14273683C2314yes—
551#14273683C2314yes—
552#14273683C2314yes—
553#14273683C2314yescomplemented
554#14273683C2314yescomplemented
555#14273683C2314yescomplemented
556#14273683C2314yescomplemented
557#14273683C2314yescomplemented
558#14273683C2314yescomplemented
559C2×C4⋊Dic59C2312yescomplemented
560C2×C4⋊Dic59C2312yescomplemented
561C2×Dic59⋊C4C2311yescharacteristic
562C2×Dic59⋊C4C2311yescharacteristic
563C2×Dic59⋊C4C2311yescharacteristic
564C2×Dic59⋊C4C2314yes—
565C2×Dic59⋊C4C2314yes—
566C2×Dic59⋊C4C2311yescharacteristic
567C2×Dic59⋊C4C2312yescomplemented
568C2×Dic59⋊C4C2312yescomplemented
569C2×Dic59⋊C4C2312yescomplemented
570C2×Dic59⋊C4C2312yescomplemented
571C2×Dic59⋊C4C2314yescomplemented
572C4⋊C4×D59C2312yescomplemented
573C4⋊C4×D59C2312yescomplemented
574C4⋊C4×D59C2314yescomplemented
575C4⋊C4×D59C2314yescomplemented
576C4⋊C4×D59C2314yescomplemented
577C2×C22⋊Dic59C2312yes—
578C2×C22⋊Dic59C2312yes—
579C2×C22⋊Dic59C2312yes—
580C2×C22⋊Dic59C2312yescomplemented
581C2×C22⋊Dic59C2312yescomplemented
582C2×(C2×D59)⋊C4C2311yescharacteristic
583C2×(C2×D59)⋊C4C2311yescharacteristic
584C2×(C2×D59)⋊C4C2311yescharacteristic
585C2×(C2×D59)⋊C4C2314yes—
586C2×(C2×D59)⋊C4C2314yes—
587C2×(C2×D59)⋊C4C2311yescharacteristic
588C2×(C2×D59)⋊C4C2312yescomplemented
589C2×(C2×D59)⋊C4C2312yescomplemented
590C2×(C2×D59)⋊C4C2314yescomplemented
591C22⋊C4×D59C2314yes—
592C22⋊C4×D59C2314yes—
593C22⋊C4×D59C2314yes—
594C22⋊C4×D59C2314yescomplemented
595C22⋊C4×D59C2314yescomplemented
596C22⋊C4×D59C2314yescomplemented
597C22⋊C4×D59C2314yescomplemented
598C2×C4×Dic59C2312yes—
599C2×C4×Dic59C2312yes—
600C2×C4×Dic59C2311yescharacteristic
601C2×C4×Dic59C2312yes—
602C2×C4×Dic59C2311yescharacteristic
603C2×C4×Dic59C2311yescharacteristic
604C2×C4×Dic59C2312yes—
605C2×C4×Dic59C2311yescharacteristic
606C2×C4×Dic59C2312yescomplemented
607C2×C4×Dic59C2314yescomplemented
608C2×C4×Dic59C2312yescomplemented
609C42×D59C2314yescomplemented
610C42×D59C2314yescomplemented
611C25×C59C2311yescharacteristic
612C2×#41×C59C2312yes—
613C2×#41×C59C2312yes—
614C22×D4×C59C2312yes—
615C22×D4×C59C2312yes—
616C22×D4×C59C2312yes—
617C23×C4×C59C2311yescharacteristic
618C23×C4×C59C2311yescharacteristic
619#126×C59C2314yescomplemented
620#126×C59C2314yescomplemented
621#124×C59C2314yescomplemented
622#124×C59C2314yescomplemented
623#123×C59C2314yes—
624#123×C59C2314yes—
625#123×C59C2314yescomplemented
626#123×C59C2314yescomplemented
627#123×C59C2314yescomplemented
628C22⋊Q8×C59C2312yes—
629C22⋊Q8×C59C2312yes—
630C22⋊Q8×C59C2312yes—
631C22⋊Q8×C59C2312yes—
632C22⋊Q8×C59C2314yescomplemented
633C22⋊Q8×C59C2314yescomplemented
634#121×C59C2312yes—
635#121×C59C2312yes—
636#121×C59C2312yes—
637#121×C59C2312yes—
638#121×C59C2314yescomplemented
639#121×C59C2314yescomplemented
640#120×C59C2314yes—
641#120×C59C2314yes—
642#120×C59C2314yes—
643#120×C59C2314yes—
644#120×C59C2314yescomplemented
645C4×D4×C59C2314yes—
646C4×D4×C59C2314yes—
647C4×D4×C59C2314yes—
648C4×D4×C59C2314yes—
649C4×D4×C59C2314yescomplemented
650C4×D4×C59C2314yescomplemented
651#117×C59C2312yes—
652#117×C59C2312yes—
653#117×C59C2314yescomplemented
654C2×C22⋊C4×C59C2312yes—
655C2×C22⋊C4×C59C2312yes—
656C2×C22⋊C4×C59C2312yes—
657C2×C22⋊C4×C59C2311yescharacteristic
658C2×C22⋊C4×C59C2311yescharacteristic
659C2×C22⋊C4×C59C2311yescharacteristic
660C2×C22⋊C4×C59C2314yes—
661C2×C22⋊C4×C59C2314yes—
662C2×C22⋊C4×C59C2311yescharacteristic
663C2×C22⋊C4×C59C2314yescomplemented
664C24×C59—24no—
665C24×C59—42no—
666C24×C59—42no—
667C24×C59C2411yescharacteristic
668C24×C59C2412yes—
669C24×C59C2412yes—
670C24×C59C2411yescharacteristic
671C24×C59C2412yes—
672C24×C59C2411yescharacteristic
673C23×D59—24no—
674C23×D59—42no—
675C23×D59—42no—
676C23×D59C2412yes—
677C23×D59C2412yes—
678C23×D59C2414yes—
679C23×D59C2412yes—
680C23×D59C2411yescharacteristic
681C23×D59C2411yescharacteristic
682#41×C59—44no—
683#41×C59—44no—
684C2×Q8×C59C2412yes—
685C2×Q8×C59C2412yes—
686C2×D4×C59—28no—
687C2×D4×C59—44no—
688C2×D4×C59—44no—
689C2×D4×C59C2414yes—
690C2×D4×C59C2414yes—
691C2×D4×C59C2414yes—
692C2×D4×C59C2414yes—
693C2×D4×C59C2414yes—
694C2×D4×C59C2414yes—
695C2×D4×C59C2412yes—
696C2×D4×C59C2412yes—
697C22×C4×C59—42no—
698C22×C4×C59—42no—
699C22×C4×C59C2412yes—
700C22×C4×C59C2412yes—
701C22×C4×C59C2412yes—
702C22×C4×C59C2411yescharacteristic
703C22×C4×C59C2411yescharacteristic
704C22×C4×C59C2412yes—
705C22×C4×C59C2412yes—
706C22×C4×C59C2412yes—
707C22×C4×C59C2412yes—
708C22×C4×C59C2411yescharacteristic
709C22×C4×C59C2411yescharacteristic
710C22×C4×C59C2414yes—
711C22×C4×C59C2414yes—
712C2×C22⋊D59—24no—
713C2×C22⋊D59—28no—
714C2×C22⋊D59—24no—
715C2×C22⋊D59—216no—
716C2×C22⋊D59—216no—
717C2×C22⋊D59—216no—
718C2×C22⋊D59—24no—
719C2×C22⋊D59—44no—
720C2×C22⋊D59—44no—
721C2×C22⋊D59—44no—
722C2×C22⋊D59#4118yescomplemented
723C2×C22⋊D59C2414yes—
724C2×C22⋊D59C2414yes—
725C2×C22⋊D59C2414yes—
726C2×C22⋊D59C2414yes—
727C2×C22⋊D59C2414yes—
728C2×C22⋊D59C2414yes—
729C2×C22⋊D59C2414yes—
730C2×C22⋊D59C2414yes—
731C2×C22⋊D59C2414yes—
732C2×C22⋊D59C2414yes—
733C2×C22⋊D59C2414yes—
734C2×C22⋊D59C2414yes—
735C2×C22⋊D59C2414yes—
736C2×C22⋊D59C2414yes—
737C2×C22⋊D59C2414yes—
738C2×C22⋊D59C2414yes—
739C22×Dic59—24no—
740C22×Dic59—24no—
741C22×Dic59—28no—
742C22×Dic59—42no—
743C22×Dic59—44no—
744C22×Dic59—42no—
745C22×Dic59—44no—
746C22×Dic59—42no—
747C22×Dic59—42no—
748C22×Dic59—44no—
749C22×Dic59—44no—
750C22×Dic59—42no—
751C22×Dic59C2412yes—
752C22×Dic59C2412yes—
753C22×Dic59C2411yescharacteristic
754C22×Dic59C2411yescharacteristic
755C22×Dic59C2411yescharacteristic
756C22×Dic59C2411yescharacteristic
757C22×Dic59C2411yescharacteristic
758C22×Dic59C2411yescharacteristic
759C22×Dic59C2412yes—
760C22×Dic59C2412yes—
761C22×Dic59C2414yes—
762C22×Dic59C2414yes—
763C22×Dic59C2412yes—
764C22×Dic59C2412yes—
765C22×Dic59C2412yes—
766C22×Dic59C2412yes—
767C22×Dic59C2412yes—
768C22×Dic59C2411yescharacteristic
769C22×Dic59C2412yes—
770C22×Dic59C2411yescharacteristic
771C22×Dic59C2412yes—
772C22×Dic59C2412yes—
773C22×Dic59C2414yes—
774C22×Dic59C2412yes—
775C22×Dic59C2412yes—
776C22×Dic59C2412yes—
777C22×Dic59C2411yescharacteristic
778C22×Dic59C2411yescharacteristic
779#11745689—44no—
780Q8×D59—44no—
781#11745687—216no—
782#11745687—216no—
783#11745687—216no—
784#11745687—48no—
785#11745687—44no—
786#11745687—48no—
787#11745687—48no—
788D4×D59—216no—
789D4×D59—216no—
790D4×D59—44no—
791D4×D59—48no—
792D4×D59—48no—
793#11745685—216no—
794#11745685—48no—
795#11745685—44no—
796#11745685—44no—
797C2×D236C2414yes—
798C2×D236C2412yes—
799C2×D236C2414yes—
800C2×D236C2414yes—
801C2×D236C2412yes—
802C2×C4×D59—28no—
803C2×C4×D59—42no—
804C2×C4×D59—44no—
805C2×C4×D59—42no—
806C2×C4×D59—44no—
807C2×C4×D59—42no—
808C2×C4×D59—42no—
809C2×C4×D59—48no—
810C2×C4×D59—44no—
811C2×C4×D59—44no—
812C2×C4×D59C2412yes—
813C2×C4×D59C2414yes—
814C2×C4×D59C2414yes—
815C2×C4×D59C2414yes—
816C2×C4×D59C2412yes—
817C2×C4×D59C2412yes—
818C2×C4×D59C2412yes—
819C2×C4×D59C2414yes—
820C2×C4×D59C2414yes—
821C2×C4×D59C2414yes—
822C2×C4×D59C2412yes—
823C2×C4×D59C2412yes—
824C2×C4×D59C2414yes—
825C2×C4×D59C2414yes—
826C2×C4×D59C2412yes—
827C2×C4×D59C2412yes—
828C2×Dic118—44no—
829C2×Dic118C2414yes—
830C2×Dic118C2414yes—
831C2×Dic118C2412yes—
832C2×Dic118C2414yes—
833C2×Dic118C2412yes—
834C4⋊C4×C59C2412yes—
835C4⋊C4×C59C2412yes—
836C4⋊C4×C59C2412yes—
837C4⋊C4×C59C2412yes—
838C4⋊C4×C59C2414yes—
839C4⋊C4×C59C2414yes—
840C4⋊C4×C59C2414yes—
841C4⋊C4×C59C2414yes—
842C22⋊C4×C59C2414yes—
843C22⋊C4×C59C2414yes—
844C22⋊C4×C59C2414yes—
845C22⋊C4×C59C2414yes—
846C22⋊C4×C59C2414yes—
847C22⋊C4×C59C2414yes—
848C22⋊C4×C59C2414yes—
849C22⋊C4×C59C2414yes—
850C22⋊C4×C59C2414yes—
851C22⋊C4×C59C2414yes—
852C22⋊C4×C59C2414yes—
853C22⋊C4×C59C2414yes—
854C22⋊C4×C59C2414yes—
855C22⋊C4×C59C2414yes—
856C42×C59C2414yes—
857C42×C59C2414yes—
858C22⋊Dic59C2414yes—
859C22⋊Dic59C2414yes—
860C22⋊Dic59C2414yes—
861C22⋊Dic59C2414yes—
862C22⋊Dic59C2414yes—
863C22⋊Dic59C2414yes—
864C22⋊Dic59C2414yes—
865C22⋊Dic59C2414yes—
866C22⋊Dic59C2414yes—
867C22⋊Dic59C2414yes—
868C22⋊Dic59C2414yes—
869C22⋊Dic59C2414yes—
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—
879(C2×D59)⋊C4C2414yes—
880(C2×D59)⋊C4C2414yes—
881(C2×D59)⋊C4C2414yes—
882(C2×D59)⋊C4C2414yes—
883(C2×D59)⋊C4C2414yes—
884(C2×D59)⋊C4C2414yes—
885(C2×D59)⋊C4C2414yes—
886(C2×D59)⋊C4C2414yes—
887(C2×D59)⋊C4C2414yes—
888(C2×D59)⋊C4C2414yes—
889(C2×D59)⋊C4C2414yes—
890C4⋊Dic59C2414yes—
891C4⋊Dic59C2414yes—
892C4⋊Dic59C2414yes—
893C4⋊Dic59C2412yes—
894C4⋊Dic59C2412yes—
895C4⋊Dic59C2414yes—
896C4⋊Dic59C2414yes—
897C4⋊Dic59C2412yes—
898C4⋊Dic59C2412yes—
899C4⋊Dic59C2414yes—
900Dic59⋊C4C2414yes—
901Dic59⋊C4C2414yes—
902Dic59⋊C4C2414yes—
903Dic59⋊C4C2414yes—
904Dic59⋊C4C2414yes—
905Dic59⋊C4C2414yes—
906Dic59⋊C4C2414yes—
907Dic59⋊C4C2414yes—
908Dic59⋊C4C2414yes—
909Dic59⋊C4C2414yes—
910Dic59⋊C4C2414yes—
911Dic59⋊C4C2414yes—
912Dic59⋊C4C2414yes—
913Dic59⋊C4C2414yes—
914Dic59⋊C4C2414yes—
915Dic59⋊C4C2414yes—
916Dic59⋊C4C2414yes—
917Dic59⋊C4C2414yes—
918Dic59⋊C4C2414yes—
919Dic59⋊C4C2414yes—
920C4×Dic59C2412yes—
921C4×Dic59C2414yes—
922C4×Dic59C2414yes—
923C4×Dic59C2414yes—
924C4×Dic59C2414yes—
925C4×Dic59C2412yes—
926C4×Dic59C2412yes—
927C4×Dic59C2412yes—
928C4×Dic59C2412yes—
929C4×Dic59C2412yes—
930C4×Dic59C2412yes—
931C4×Dic59C2412yes—
932C4×Dic59C2414yes—
933C4×Dic59C2414yes—
934C4×Dic59C2414yes—
935C4×Dic59C2414yes—
936C23×C59—22no—
937C23×C59—22no—
938C23×C59—22no—
939C23×C59—24no—
940C23×C59—24no—
941C23×C59—22no—
942C23×C59—24no—
943C23×C59—24no—
944C23×C59—24no—
945C23×C59—41no—
946C23×C59—42no—
947C23×C59—41no—
948C23×C59—41no—
949C23×C59—42no—
950C23×C59—41no—
951C23×C59—42no—
952C23×C59—42no—
953C23×C59—416no—
954C23×C59C2×#4114yescomplemented
955C23×C59C2514yes—
956C23×C59C2512yes—
957C23×C59C2511yescharacteristic
958C23×C59C2512yes—
959C23×C59C2511yescharacteristic
960C23×C59C2511yescharacteristic
961C22×D59—22no—
962C22×D59—24no—
963C22×D59—24no—
964C22×D59—24no—
965C22×D59—24no—
966C22×D59—24no—
967C22×D59—28no—
968C22×D59—41no—
969C22×D59—42no—
970C22×D59—41no—
971C22×D59—41no—
972C22×D59—42no—
973C22×D59—41no—
974C22×D59—44no—
975C22×D59—42no—
976C22×D59—44no—
977C22×D59—42no—
978C22×D59—416no—
979C22×D59C2×#4114yescomplemented
980C22×D59C2512yes—
981C22×D59C2514yes—
982C22×D59C2512yes—
983Q8×C59—42no—
984Q8×C59—42no—
985D4×C59—28no—
986D4×C59—28no—
987D4×C59—28no—
988D4×C59—28no—
989D4×C59—42no—
990D4×C59—44no—
991D4×C59—44no—
992D4×C59—42no—
993C2×C4×C59—24no—
994C2×C4×C59—24no—
995C2×C4×C59—24no—
996C2×C4×C59—42no—
997C2×C4×C59—41no—
998C2×C4×C59—42no—
999C2×C4×C59—41no—
1000C2×C4×C59—44no—
1001C2×C4×C59—41no—
1002C2×C4×C59—42no—
1003C2×C4×C59—41no—
1004C2×C4×C59—42no—
1005C2×C4×C59—44no—
1006C2×C4×C59C2512yes—
1007C2×C4×C59C2512yes—
1008C2×C4×C59C2514yes—
1009C2×C4×C59C2512yes—
1010C2×C4×C59C2514yes—
1011C2×C4×C59C2514yes—
1012C2×C4×C59C2512yes—
1013C22⋊D59—28no—
1014C22⋊D59—28no—
1015C22⋊D59—28no—
1016C22⋊D59—28no—
1017C22⋊D59—28no—
1018C22⋊D59—28no—
1019C22⋊D59—28no—
1020C22⋊D59—28no—
1021C22⋊D59—28no—
1022C22⋊D59—28no—
1023C22⋊D59—44no—
1024C22⋊D59—44no—
1025C22⋊D59—44no—
1026C22⋊D59—44no—
1027C22⋊D59—44no—
1028C22⋊D59C2×#41116yescomplemented
1029C2×Dic59—24no—
1030C2×Dic59—22no—
1031C2×Dic59—22no—
1032C2×Dic59—24no—
1033C2×Dic59—28no—
1034C2×Dic59—24no—
1035C2×Dic59—24no—
1036C2×Dic59—24no—
1037C2×Dic59—22no—
1038C2×Dic59—22no—
1039C2×Dic59—22no—
1040C2×Dic59—22no—
1041C2×Dic59—28no—
1042C2×Dic59—24no—
1043C2×Dic59—24no—
1044C2×Dic59—24no—
1045C2×Dic59—42no—
1046C2×Dic59—44no—
1047C2×Dic59—41no—
1048C2×Dic59—42no—
1049C2×Dic59—42no—
1050C2×Dic59—42no—
1051C2×Dic59—42no—
1052C2×Dic59—42no—
1053C2×Dic59—41no—
1054C2×Dic59—42no—
1055C2×Dic59C2×#4114yescomplemented
1056C2×Dic59H(5,𝔽2)14yescomplemented
1057C2×Dic59C2514yes—
1058C2×Dic59C2512yes—
1059C2×Dic59C2514yes—
1060C2×Dic59C2512yes—
1061C2×Dic59C2511yescharacteristic
1062C2×Dic59C2511yescharacteristic
1063C2×Dic59C2514yes—
1064C2×Dic59C2512yes—
1065C2×Dic59C2512yes—
1066C2×Dic59C2511yescharacteristic
1067C2×Dic59C2511yescharacteristic
1068D236—28no—
1069D236—42no—
1070D236—44no—
1071D236—42no—
1072D236—44no—
1073C4×D59—28no—
1074C4×D59—28no—
1075C4×D59—24no—
1076C4×D59—24no—
1077C4×D59—24no—
1078C4×D59—24no—
1079C4×D59—28no—
1080C4×D59—42no—
1081C4×D59—42no—
1082C4×D59—42no—
1083C4×D59—42no—
1084C4×D59—44no—
1085C4×D59—44no—
1086C4×D59—44no—
1087C4×D59—44no—
1088C4×D59—44no—
1089Dic118—28no—
1090Dic118—28no—
1091Dic118—44no—
1092Dic118—42no—
1093Dic118—42no—
1094#62773—591nomaximal, Sylow
1095C22×C59—28no—
1096C22×C59—21no—
1097C22×C59—21no—
1098C22×C59—22no—
1099C22×C59—21no—
1100C22×C59—21no—
1101C22×C59—22no—
1102C22×C59—21no—
1103C22×C59—21no—
1104C22×C59—24no—
1105C22×C59—22no—
1106C22×C59—22no—
1107C22×C59—24no—
1108C22×C59—22no—
1109C22×C59—24no—
1110C22×C59—44no—
1111C22×C59—48no—
1112C22×C59—48no—
1113C22×C59—44no—
1114C22×C59—84no—
1115C22×C59C22×#4112yes—
1116C22×C59C22×#4114yes—
1117C22×C59C2×H(5,𝔽2)12yes—
1118C22×C59#58512yes—
1119C22×C59C2611yescharacteristic
1120C2×D59—22no—
1121C2×D59—22no—
1122C2×D59—24no—
1123C2×D59—22no—
1124C2×D59—22no—
1125C2×D59—24no—
1126C2×D59—24no—
1127C2×D59—22no—
1128C2×D59—44no—
1129C2×D59—48no—
1130C2×D59—48no—
1131C2×D59—44no—
1132C2×D59—88no—
1133C2×D59—84no—
1134C2×D59C22×#4114yes—
1135C4×C59—24no—
1136C4×C59—24no—
1137C4×C59—22no—
1138C4×C59—22no—
1139C4×C59—22no—
1140C4×C59—22no—
1141C4×C59—24no—
1142Dic59—24no—
1143Dic59—22no—
1144Dic59—24no—
1145Dic59—22no—
1146Dic59—21no—
1147Dic59—21no—
1148Dic59—22no—
1149Dic59—24no—
1150Dic59C22×#4114yes—
1151Dic59C2×H(5,𝔽2)12yes—
1152Dic59C2×H(5,𝔽2)12yes—
1153#3520—594no—
1154#3519—594no—
1155#3513—594no—
1156#3513—594no—
1157#3506—592no—
1158#3505—592no—
1159#3505—592no—
1160#3501—591no—
1161#3496—591no—
1162#3492—592no—
1163#3490—592no—
1164#3490—591no—
1165#3490D5911yescharacteristic, complemented
1166#3484—592no—
1167#3481—594no—
1168#3481—594no—
1169#3475—594no—
1170D4×#41—594no—
1171#3460—592no—
1172#3459—591no—
1173#3459—592no—
1174#3459—591no—
1175#3444—592no—
1176C2×#525—592no—
1177C2×#525—592no—
1178C4×H(5,𝔽2)—592no—
1179C22×C4×D4—591no—
1180C2×C59—22no—
1181C2×C59—22no—
1182C2×C59—22no—
1183C2×C59—24no—
1184C2×C59—44no—
1185C2×C59—42no—
1186C2×C59C23×#4111yescharacteristic
1187C2×C59C22×H(5,𝔽2)11yescharacteristic
1188C2×C59C2×#58511yescharacteristic
1189D59—24no—
1190D59—42no—
1191D59—44no—
1192C2×H(5,𝔽2)—592no—
1193C22×#41—592no—
1194C22×#41—592no—
1195C23×D4—591no—
1196C24×C4—591no—
1197C24×C4—591no—
1198#559—594no—
1199#559—594no—
1200#556—594no—
1201#555—594no—
1202#554—594no—
1203#554—594no—
1204#554—594no—
1205#554—594no—
1206#554—594no—
1207#553—594no—
1208#553—594no—
1209#553—594no—
1210#553—594no—
1211#553—594no—
1212#553—594no—
1213#553—594no—
1214#553—594no—
1215#553—594no—
1216#553—594no—
1217#552—594no—
1218#552—594no—
1219#552—594no—
1220#552—594no—
1221#551—594no—
1222#551—594no—
1223#551—594no—
1224#551—594no—
1225#551—594no—
1226#551—594no—
1227#551—594no—
1228#551—594no—
1229#551—594no—
1230#551—594no—
1231#551C2×D5914yescomplemented
1232#551C2×D5914yescomplemented
1233#550—594no—
1234D4×Q8—594no—
1235#548—594no—
1236#548—594no—
1237#547—594no—
1238#547—594no—
1239#547—594no—
1240#547—594no—
1241#546—594no—
1242#546—594no—
1243#546—594no—
1244#546—594no—
1245#546—594no—
1246#546—594no—
1247#546—594no—
1248#546—594no—
1249#546—594no—
1250#546—594no—
1251#546—594no—
1252#546—594no—
1253#546—594no—
1254#546—594no—
1255#546C2×D5914yescomplemented
1256#546C2×D5914yescomplemented
1257D42—594no—
1258D42—594no—
1259D42—594no—
1260D42—594no—
1261D42—594no—
1262#544—592no—
1263#543—592no—
1264#543—591no—
1265#543C2×D5911yescharacteristic, complemented
1266#542—594no—
1267#542—594no—
1268#540—594no—
1269#540—594no—
1270#539—594no—
1271#539—594no—
1272#539—594no—
1273#539—592no—
1274#539—594no—
1275#539—592no—
1276#539—594no—
1277#538—594no—
1278#538—592no—
1279#538—594no—
1280#538—592no—
1281#538—594no—
1282#538—594no—
1283#538—594no—
1284#538—592no—
1285#538—592no—
1286#538C2×D5912yescomplemented
1287#538C2×D5912yescomplemented
1288#537—592no—
1289#535—594no—
1290#534—592no—
1291#534—592no—
1292#534—594no—
1293#534—592no—
1294#534—591no—
1295#534C2×D5911yescharacteristic, complemented
1296#533—592no—
1297#533—592no—
1298#533—592no—
1299#532—592no—
1300#532—594no—
1301#532—592no—
1302#532—592no—
1303#532—594no—
1304#529—594no—
1305#529—594no—
1306#529—594no—
1307#529—594no—
1308#529—594no—
1309#529—594no—
1310#529—594no—
1311#529—592no—
1312#529—592no—
1313#529—594no—
1314#529—592no—
1315#529—592no—
1316#529—594no—
1317#529—594no—
1318#525—592no—
1319#525—592no—
1320#525—592no—
1321#525—594no—
1322#525—594no—
1323#525—592no—
1324#525—592no—
1325#525—594no—
1326#525—592no—
1327#525—592no—
1328#525—594no—
1329#525—594no—
1330#525—594no—
1331#525—594no—
1332#525—594no—
1333#525—594no—
1334#525—594no—
1335#525—594no—
1336#525—594no—
1337#525—594no—
1338#525—594no—
1339#525—594no—
1340#525—594no—
1341#525—592no—
1342#525C2×D5912yescomplemented
1343#525C2×D5912yescomplemented
1344C2×#123—592no—
1345C2×#123—594no—
1346C2×#123—592no—
1347C2×C22⋊Q8—592no—
1348C2×C22⋊Q8—592no—
1349C2×C22⋊Q8—592no—
1350C2×C22⋊Q8—592no—
1351C2×#121—592no—
1352C2×#121—592no—
1353C2×#121—592no—
1354C2×#121—592no—
1355C2×#120—592no—
1356C2×#120—594no—
1357C2×#120C2×D5912yescomplemented
1358#520—594no—
1359#520—594no—
1360#520—594no—
1361#518—594no—
1362#518—594no—
1363#518—592no—
1364#518—592no—
1365#518—594no—
1366#518C2×D5912yescomplemented
1367C4×#41—592no—
1368C4×#41—594no—
1369C4×#41—594no—
1370C4×#41—594no—
1371C4×#41—592no—
1372C4×#41—594no—
1373C2×C4×D4—592no—
1374C2×C4×D4—592no—
1375C2×C4×D4—594no—
1376C2×C4×D4—594no—
1377C2×C4×D4—594no—
1378C2×C4×D4—591no—
1379C2×C4×D4—591no—
1380C2×C4×D4—591no—
1381C2×C4×D4—591no—
1382C2×C4×D4—594no—
1383C2×C4×D4—594no—
1384C2×C4×D4—591no—
1385C2×C4×D4—591no—
1386C2×C4×D4—591no—
1387C2×C4×D4—591no—
1388C2×C4×D4—594no—
1389C2×C4×D4—594no—
1390C2×C4×D4—592no—
1391C2×C4×D4—592no—
1392C2×C4×D4—594no—
1393C2×#117—592no—
1394C2×#117—592no—
1395C22×C4⋊C4—591no—
1396C22×C22⋊C4—591no—
1397C22×C22⋊C4C2×D5911yescharacteristic, complemented
1398C22×C42—591no—
1399C59#6277311yescharacteristic, complemented, Sylow
1400C25—591no—
1401C25C22×D5911yescharacteristic
1402H(5,𝔽2)—11816no—
1403C2×#41—592no—
1404C2×#41—594no—
1405C2×#41—594no—
1406C2×#41—594no—
1407C2×#41—592no—
1408C2×#41—594no—
1409C2×#41—594no—
1410C2×#41—594no—
1411C2×#41—594no—
1412C2×#41—592no—
1413C2×#41—592no—
1414C2×#41—594no—
1415C2×#41—2368no—
1416C2×#41—2368no—
1417C2×#41C22×D5912yes—
1418C2×#41C22×D5912yes—
1419C22×Q8—592no—
1420C22×Q8—592no—
1421C22×D4—591no—
1422C22×D4—591no—
1423C22×D4—591no—
1424C22×D4—591no—
1425C22×D4—594no—
1426C22×D4—594no—
1427C22×D4—592no—
1428C22×D4—594no—
1429C22×D4—592no—
1430C22×D4—592no—
1431C22×D4—592no—
1432C22×D4—594no—
1433C22×D4—594no—
1434C22×D4—594no—
1435C22×D4—594no—
1436C22×D4—592no—
1437C22×D4—1188no—
1438C22×D4C22×D5912yes—
1439C22×D4C22×D5912yes—
1440C22×D4C22×D5912yes—
1441C23×C4—591no—
1442C23×C4—592no—
1443C23×C4—591no—
1444C23×C4—591no—
1445C23×C4—591no—
1446C23×C4—592no—
1447C23×C4—592no—
1448C23×C4—591no—
1449C23×C4—592no—
1450C23×C4—592no—
1451C23×C4—591no—
1452C23×C4—591no—
1453C23×C4—592no—
1454C23×C4—591no—
1455C23×C4—592no—
1456C23×C4—592no—
1457C23×C4—594no—
1458C23×C4—591no—
1459C23×C4—592no—
1460C23×C4—592no—
1461C23×C4—591no—
1462C23×C4—591no—
1463C23×C4—2364no—
1464C23×C4—2364no—
1465C23×C4C22×D5911yescharacteristic
1466C23×C4C22×D5911yescharacteristic
1467C4⋊Q8—592no—
1468C4⋊Q8—594no—
1469C4⋊Q8—592no—
1470C4⋊Q8—592no—
1471C4⋊Q8—594no—
1472#127—592no—
1473#127—594no—
1474#127—594no—
1475#126—594no—
1476#126—594no—
1477#126—594no—
1478#126—594no—
1479#126—594no—
1480#126—594no—
1481#126—594no—
1482#126—594no—
1483#126—594no—
1484#126—594no—
1485#126—594no—
1486#126—594no—
1487#126—594no—
1488#126—594no—
1489#126C22×D5914yescomplemented
1490#126C22×D5914yescomplemented
1491#125—592no—
1492#125—592no—
1493#125—594no—
1494#125—594no—
1495#125—594no—
1496#125—594no—
1497#125—594no—
1498#125—594no—
1499#125—594no—
1500#125—594no—
1501#124—592no—
1502#124—594no—
1503#124—592no—
1504#124—594no—
1505#124—594no—
1506#124—594no—
1507#124—594no—
1508#124—594no—
1509#124—594no—
1510#124—594no—
1511#124—594no—
1512#124—594no—
1513#124C22×D5914yescomplemented
1514#124C22×D5914yescomplemented
1515#123—594no—
1516#123—594no—
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—594no—
1538#123—594no—
1539#123—594no—
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#123C22×D5914yes—
1549#123C22×D5914yes—
1550#123C22×D5914yescomplemented
1551#123C22×D5914yescomplemented
1552#123C22×D5914yescomplemented
1553C22⋊Q8—592no—
1554C22⋊Q8—592no—
1555C22⋊Q8—594no—
1556C22⋊Q8—594no—
1557C22⋊Q8—592no—
1558C22⋊Q8—592no—
1559C22⋊Q8—592no—
1560C22⋊Q8—592no—
1561C22⋊Q8—594no—
1562C22⋊Q8—592no—
1563C22⋊Q8—594no—
1564C22⋊Q8—594no—
1565C22⋊Q8—592no—
1566C22⋊Q8—594no—
1567C22⋊Q8—594no—
1568C22⋊Q8—594no—
1569C22⋊Q8—594no—
1570C22⋊Q8—594no—
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⋊Q8C22×D5912yes—
1586C22⋊Q8C22×D5912yes—
1587C22⋊Q8C22×D5912yes—
1588C22⋊Q8C22×D5912yes—
1589C22⋊Q8C22×D5914yescomplemented
1590C22⋊Q8C22×D5914yescomplemented
1591#121—594no—
1592#121—594no—
1593#121—594no—
1594#121—592no—
1595#121—594no—
1596#121—594no—
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—592no—
1613#121—592no—
1614#121—592no—
1615#121—594no—
1616#121—594no—
1617#121—594no—
1618#121—592no—
1619#121—592no—
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#121—594no—
1631#121C22×D5912yes—
1632#121C22×D5912yes—
1633#121C22×D5912yes—
1634#121C22×D5912yes—
1635#121C22×D5914yescomplemented
1636#121C22×D5914yescomplemented
1637#120—594no—
1638#120—594no—
1639#120—594no—
1640#120—594no—
1641#120—594no—
1642#120—594no—
1643#120—594no—
1644#120—594no—
1645#120—594no—
1646#120—594no—
1647#120—594no—
1648#120—594no—
1649#120—594no—
1650#120—594no—
1651#120—594no—
1652#120—594no—
1653#120—594no—
1654#120C22×D5914yes—
1655#120C22×D5914yes—
1656#120C22×D5914yes—
1657#120C22×D5914yes—
1658#120C22×D5914yescomplemented
1659C4×Q8—592no—
1660C4×Q8—592no—
1661C4×Q8—594no—
1662C4×Q8—594no—
1663C4×Q8—592no—
1664C4×Q8—594no—
1665C4×Q8—592no—
1666C4×Q8—594no—
1667C4×Q8—594no—
1668C4×Q8—594no—
1669C4×D4—594no—
1670C4×D4—594no—
1671C4×D4—594no—
1672C4×D4—594no—
1673C4×D4—594no—
1674C4×D4—594no—
1675C4×D4—594no—
1676C4×D4—594no—
1677C4×D4—592no—
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—594no—
1692C4×D4—594no—
1693C4×D4—594no—
1694C4×D4—594no—
1695C4×D4—594no—
1696C4×D4—592no—
1697C4×D4—592no—
1698C4×D4—594no—
1699C4×D4—594no—
1700C4×D4—594no—
1701C4×D4—594no—
1702C4×D4—594no—
1703C4×D4—594no—
1704C4×D4—594no—
1705C4×D4—594no—
1706C4×D4—594no—
1707C4×D4—594no—
1708C4×D4—594no—
1709C4×D4—594no—
1710C4×D4—594no—
1711C4×D4—594no—
1712C4×D4—594no—
1713C4×D4—594no—
1714C4×D4—594no—
1715C4×D4—594no—
1716C4×D4—594no—
1717C4×D4—594no—
1718C4×D4—594no—
1719C4×D4—594no—
1720C4×D4—594no—
1721C4×D4—594no—
1722C4×D4—594no—
1723C4×D4—594no—
1724C4×D4—594no—
1725C4×D4—594no—
1726C4×D4—594no—
1727C4×D4—594no—
1728C4×D4—594no—
1729C4×D4—594no—
1730C4×D4—594no—
1731C4×D4—594no—
1732C4×D4—594no—
1733C4×D4—594no—
1734C4×D4—594no—
1735C4×D4—594no—
1736C4×D4—594no—
1737C4×D4C22×D5914yes—
1738C4×D4C22×D5914yes—
1739C4×D4C22×D5914yes—
1740C4×D4C22×D5914yes—
1741C4×D4C22×D5914yescomplemented
1742C4×D4C22×D5914yescomplemented
1743#117—592no—
1744#117—592no—
1745#117—594no—
1746#117—592no—
1747#117—592no—
1748#117—594no—
1749#117—594no—
1750#117—594no—
1751#117—594no—
1752#117—594no—
1753#117—594no—
1754#117—594no—
1755#117—594no—
1756#117—594no—
1757#117—594no—
1758#117—594no—
1759#117—594no—
1760#117—594no—
1761#117—594no—
1762#117—594no—
1763#117—594no—
1764#117C22×D5912yes—
1765#117C22×D5912yes—
1766#117C22×D5914yescomplemented
1767C2×C4⋊C4—591no—
1768C2×C4⋊C4—591no—
1769C2×C4⋊C4—591no—
1770C2×C4⋊C4—591no—
1771C2×C4⋊C4—594no—
1772C2×C4⋊C4—594no—
1773C2×C4⋊C4—592no—
1774C2×C4⋊C4—592no—
1775C2×C4⋊C4—592no—
1776C2×C4⋊C4—592no—
1777C2×C4⋊C4—594no—
1778C2×C4⋊C4—592no—
1779C2×C4⋊C4—592no—
1780C2×C4⋊C4—592no—
1781C2×C4⋊C4—592no—
1782C2×C4⋊C4—594no—
1783C2×C4⋊C4—594no—
1784C2×C4⋊C4—594no—
1785C2×C22⋊C4—592no—
1786C2×C22⋊C4—592no—
1787C2×C22⋊C4—592no—
1788C2×C22⋊C4—592no—
1789C2×C22⋊C4—592no—
1790C2×C22⋊C4—591no—
1791C2×C22⋊C4—591no—
1792C2×C22⋊C4—591no—
1793C2×C22⋊C4—591no—
1794C2×C22⋊C4—594no—
1795C2×C22⋊C4—594no—
1796C2×C22⋊C4—592no—
1797C2×C22⋊C4—594no—
1798C2×C22⋊C4—592no—
1799C2×C22⋊C4—594no—
1800C2×C22⋊C4—594no—
1801C2×C22⋊C4—594no—
1802C2×C22⋊C4—594no—
1803C2×C22⋊C4—594no—
1804C2×C22⋊C4—594no—
1805C2×C22⋊C4—594no—
1806C2×C22⋊C4C22×D5911yescharacteristic
1807C2×C22⋊C4C22×D5911yescharacteristic
1808C2×C22⋊C4C22×D5911yescharacteristic
1809C2×C22⋊C4C22×D5911yescharacteristic
1810C2×C22⋊C4C22×D5914yes—
1811C2×C22⋊C4C22×D5914yes—
1812C2×C22⋊C4C22×D5912yes—
1813C2×C22⋊C4C22×D5912yes—
1814C2×C22⋊C4C22×D5912yes—
1815C2×C22⋊C4C22×D5914yescomplemented
1816C2×C42—592no—
1817C2×C42—592no—
1818C2×C42—591no—
1819C2×C42—592no—
1820C2×C42—592no—
1821C2×C42—591no—
1822C2×C42—592no—
1823C2×C42—591no—
1824C2×C42—592no—
1825C2×C42—591no—
1826C2×C42—594no—
1827C2×C42—594no—
1828C2×C42—594no—
1829C24—24no—
1830C24—42no—
1831C24—42no—
1832C24—591no—
1833C24—592no—
1834C24—592no—
1835C24—594no—
1836C24—592no—
1837C24—591no—
1838C24—1184no—
1839C24—2362no—
1840C24—2362no—
1841C24C23×D5911yescharacteristic
1842C24C23×D5912yes—
1843C24C23×D5912yes—
1844C24C23×D5912yes—
1845C24C23×D5911yescharacteristic
1846C24C23×D5911yescharacteristic
1847#41—44no—
1848#41—44no—
1849#41—11816no—
1850#41—11816no—
1851#41—11816no—
1852#41—11816no—
1853#41—2364no—
1854#41—2364no—
1855#41—2368no—
1856#41—2364no—
1857#41—2368no—
1858#41—2364no—
1859#41—2368no—
1860#41—2368no—
1861C2×Q8—594no—
1862C2×Q8—594no—
1863C2×Q8—592no—
1864C2×Q8—592no—
1865C2×Q8—594no—
1866C2×Q8—2364no—
1867C2×Q8—2364no—
1868C2×Q8C23×D5912yes—
1869C2×Q8C23×D5912yes—
1870C2×D4—28no—
1871C2×D4—44no—
1872C2×D4—44no—
1873C2×D4—598no—
1874C2×D4—594no—
1875C2×D4—594no—
1876C2×D4—594no—
1877C2×D4—594no—
1878C2×D4—594no—
1879C2×D4—594no—
1880C2×D4—594no—
1881C2×D4—594no—
1882C2×D4—594no—
1883C2×D4—594no—
1884C2×D4—594no—
1885C2×D4—594no—
1886C2×D4—594no—
1887C2×D4—594no—
1888C2×D4—594no—
1889C2×D4—594no—
1890C2×D4—594no—
1891C2×D4—592no—
1892C2×D4—594no—
1893C2×D4—594no—
1894C2×D4—592no—
1895C2×D4—1184no—
1896C2×D4—11816no—
1897C2×D4—11816no—
1898C2×D4—11816no—
1899C2×D4—11816no—
1900C2×D4—11816no—
1901C2×D4—1184no—
1902C2×D4—1184no—
1903C2×D4—1188no—
1904C2×D4—2364no—
1905C2×D4—2364no—
1906C2×D4—2368no—
1907C2×D4—2368no—
1908C2×D4—2364no—
1909C2×D4—2364no—
1910C2×D4C23×D5914yes—
1911C2×D4C23×D5914yes—
1912C2×D4C23×D5914yes—
1913C2×D4C23×D5914yes—
1914C2×D4C23×D5912yes—
1915C2×D4C23×D5914yes—
1916C2×D4C23×D5914yes—
1917C2×D4C23×D5912yes—
1918C22×C4—42no—
1919C22×C4—42no—
1920C22×C4—591no—
1921C22×C4—591no—
1922C22×C4—592no—
1923C22×C4—592no—
1924C22×C4—591no—
1925C22×C4—591no—
1926C22×C4—592no—
1927C22×C4—591no—
1928C22×C4—591no—
1929C22×C4—591no—
1930C22×C4—591no—
1931C22×C4—592no—
1932C22×C4—594no—
1933C22×C4—594no—
1934C22×C4—592no—
1935C22×C4—592no—
1936C22×C4—592no—
1937C22×C4—592no—
1938C22×C4—592no—
1939C22×C4—591no—
1940C22×C4—592no—
1941C22×C4—592no—
1942C22×C4—592no—
1943C22×C4—592no—
1944C22×C4—591no—
1945C22×C4—594no—
1946C22×C4—592no—
1947C22×C4—592no—
1948C22×C4—592no—
1949C22×C4—594no—
1950C22×C4—594no—
1951C22×C4—594no—
1952C22×C4—592no—
1953C22×C4—592no—
1954C22×C4—592no—
1955C22×C4—594no—
1956C22×C4—594no—
1957C22×C4—592no—
1958C22×C4—592no—
1959C22×C4—594no—
1960C22×C4—594no—
1961C22×C4—594no—
1962C22×C4—592no—
1963C22×C4—592no—
1964C22×C4—1188no—
1965C22×C4—1184no—
1966C22×C4—1188no—
1967C22×C4—1184no—
1968C22×C4—2364no—
1969C22×C4—2362no—
1970C22×C4—2364no—
1971C22×C4—2362no—
1972C22×C4—2364no—
1973C22×C4—2362no—
1974C22×C4—2362no—
1975C22×C4—2364no—
1976C22×C4—2368no—
1977C22×C4—2362no—
1978C22×C4—2364no—
1979C22×C4—2362no—
1980C22×C4—2364no—
1981C22×C4—2362no—
1982C22×C4—2362no—
1983C22×C4—2364no—
1984C22×C4—2364no—
1985C22×C4—2362no—
1986C22×C4C23×D5912yes—
1987C22×C4C23×D5912yes—
1988C22×C4C23×D5912yes—
1989C22×C4C23×D5911yescharacteristic
1990C22×C4C23×D5912yes—
1991C22×C4C23×D5911yescharacteristic
1992C22×C4C23×D5912yes—
1993C22×C4C23×D5914yes—
1994C22×C4C23×D5911yescharacteristic
1995C22×C4C23×D5912yes—
1996C22×C4C23×D5912yes—
1997C22×C4C23×D5911yescharacteristic
1998C22×C4C23×D5914yes—
1999C4⋊C4—594no—
2000C4⋊C4—594no—
2001C4⋊C4—594no—
2002C4⋊C4—594no—
2003C4⋊C4—594no—
2004C4⋊C4—594no—
2005C4⋊C4—594no—
2006C4⋊C4—594no—
2007C4⋊C4—594no—
2008C4⋊C4—594no—
2009C4⋊C4—594no—
2010C4⋊C4—594no—
2011C4⋊C4—594no—
2012C4⋊C4—594no—
2013C4⋊C4—594no—
2014C4⋊C4—594no—
2015C4⋊C4—592no—
2016C4⋊C4—592no—
2017C4⋊C4—594no—
2018C4⋊C4—594no—
2019C4⋊C4—594no—
2020C4⋊C4—594no—
2021C4⋊C4—594no—
2022C4⋊C4—594no—
2023C4⋊C4—594no—
2024C4⋊C4—594no—
2025C4⋊C4—594no—
2026C4⋊C4—594no—
2027C4⋊C4—592no—
2028C4⋊C4—592no—
2029C4⋊C4C23×D5914yes—
2030C4⋊C4C23×D5912yes—
2031C4⋊C4C23×D5912yes—
2032C4⋊C4C23×D5914yes—
2033C4⋊C4C23×D5914yes—
2034C4⋊C4C23×D5914yes—
2035C4⋊C4C23×D5912yes—
2036C4⋊C4C23×D5912yes—
2037C22⋊C4—594no—
2038C22⋊C4—594no—
2039C22⋊C4—594no—
2040C22⋊C4—594no—
2041C22⋊C4—594no—
2042C22⋊C4—594no—
2043C22⋊C4—594no—
2044C22⋊C4—594no—
2045C22⋊C4—594no—
2046C22⋊C4—594no—
2047C22⋊C4—594no—
2048C22⋊C4—594no—
2049C22⋊C4—594no—
2050C22⋊C4—594no—
2051C22⋊C4—594no—
2052C22⋊C4—594no—
2053C22⋊C4—594no—
2054C22⋊C4—594no—
2055C22⋊C4—594no—
2056C22⋊C4—594no—
2057C22⋊C4—594no—
2058C22⋊C4—594no—
2059C22⋊C4—594no—
2060C22⋊C4—594no—
2061C22⋊C4—594no—
2062C22⋊C4—594no—
2063C22⋊C4—594no—
2064C22⋊C4—594no—
2065C22⋊C4—594no—
2066C22⋊C4—594no—
2067C22⋊C4—594no—
2068C22⋊C4—594no—
2069C22⋊C4C23×D5914yes—
2070C22⋊C4C23×D5914yes—
2071C22⋊C4C23×D5914yes—
2072C22⋊C4C23×D5914yes—
2073C22⋊C4C23×D5914yes—
2074C22⋊C4C23×D5914yes—
2075C22⋊C4C23×D5914yes—
2076C22⋊C4C23×D5914yes—
2077C22⋊C4C23×D5914yes—
2078C22⋊C4C23×D5914yes—
2079C22⋊C4C23×D5914yes—
2080C22⋊C4C23×D5914yes—
2081C22⋊C4C23×D5914yes—
2082C22⋊C4C23×D5914yes—
2083C42—592no—
2084C42—594no—
2085C42—594no—
2086C42—592no—
2087C42—592no—
2088C42—592no—
2089C42—592no—
2090C42—592no—
2091C42—592no—
2092C42—592no—
2093C42—594no—
2094C42—594no—
2095C42—594no—
2096C42—594no—
2097C42—594no—
2098C42—594no—
2099C42C23×D5914yes—
2100C42C23×D5914yes—
2101C23—22no—
2102C23—22no—
2103C23—22no—
2104C23—24no—
2105C23—24no—
2106C23—22no—
2107C23—24no—
2108C23—24no—
2109C23—24no—
2110C23—41no—
2111C23—42no—
2112C23—41no—
2113C23—41no—
2114C23—42no—
2115C23—41no—
2116C23—42no—
2117C23—42no—
2118C23—416no—
2119C23—592no—
2120C23—594no—
2121C23—592no—
2122C23—594no—
2123C23—1188no—
2124C23—1184no—
2125C23—1184no—
2126C23—1184no—
2127C23—1182no—
2128C23—1184no—
2129C23—1184no—
2130C23—2362no—
2131C23—2364no—
2132C23—2362no—
2133C23—2364no—
2134C23—2361no—
2135C23—2362no—
2136C23—2361no—
2137C23—2361no—
2138C23—2362no—
2139C23—2361no—
2140C23—23616no—
2141C23#41×D5914yescomplemented
2142C23C24×D5914yes—
2143C23C24×D5912yes—
2144C23C24×D5911yescharacteristic
2145C23C24×D5912yes—
2146C23C24×D5911yescharacteristic
2147C23C24×D5911yescharacteristic
2148Q8—42no—
2149Q8—42no—
2150Q8—1188no—
2151Q8—1188no—
2152Q8—2362no—
2153Q8—2364no—
2154Q8—2362no—
2155D4—28no—
2156D4—28no—
2157D4—28no—
2158D4—28no—
2159D4—44no—
2160D4—44no—
2161D4—42no—
2162D4—42no—
2163D4—5916no—
2164D4—1188no—
2165D4—1188no—
2166D4—1188no—
2167D4—1188no—
2168D4—1188no—
2169D4—1188no—
2170D4—1188no—
2171D4—1188no—
2172D4—1188no—
2173D4—1188no—
2174D4—1188no—
2175D4—2364no—
2176D4—2362no—
2177D4—2364no—
2178D4—2362no—
2179D4—2364no—
2180D4—2364no—
2181D4—2364no—
2182D4—2364no—
2183D4—2364no—
2184C2×C4—24no—
2185C2×C4—24no—
2186C2×C4—24no—
2187C2×C4—41no—
2188C2×C4—42no—
2189C2×C4—41no—
2190C2×C4—41no—
2191C2×C4—42no—
2192C2×C4—41no—
2193C2×C4—42no—
2194C2×C4—44no—
2195C2×C4—42no—
2196C2×C4—44no—
2197C2×C4—594no—
2198C2×C4—594no—
2199C2×C4—591no—
2200C2×C4—592no—
2201C2×C4—591no—
2202C2×C4—594no—
2203C2×C4—594no—
2204C2×C4—592no—
2205C2×C4—592no—
2206C2×C4—591no—
2207C2×C4—591no—
2208C2×C4—594no—
2209C2×C4—592no—
2210C2×C4—1184no—
2211C2×C4—1184no—
2212C2×C4—1184no—
2213C2×C4—1184no—
2214C2×C4—1188no—
2215C2×C4—1188no—
2216C2×C4—1188no—
2217C2×C4—1182no—
2218C2×C4—1182no—
2219C2×C4—1184no—
2220C2×C4—1182no—
2221C2×C4—1182no—
2222C2×C4—1184no—
2223C2×C4—1184no—
2224C2×C4—1184no—
2225C2×C4—1184no—
2226C2×C4—1184no—
2227C2×C4—1188no—
2228C2×C4—1188no—
2229C2×C4—1182no—
2230C2×C4—1184no—
2231C2×C4—1182no—
2232C2×C4—1184no—
2233C2×C4—2362no—
2234C2×C4—2362no—
2235C2×C4—2362no—
2236C2×C4—2362no—
2237C2×C4—2364no—
2238C2×C4—2364no—
2239C2×C4—2364no—
2240C2×C4—2364no—
2241C2×C4—2364no—
2242C2×C4—2361no—
2243C2×C4—2362no—
2244C2×C4—2362no—
2245C2×C4—2362no—
2246C2×C4—2362no—
2247C2×C4—2362no—
2248C2×C4—2361no—
2249C2×C4—2362no—
2250C2×C4—2364no—
2251C2×C4—2362no—
2252C2×C4C24×D5912yes—
2253C2×C4C24×D5912yes—
2254C2×C4C24×D5914yes—
2255C2×C4C24×D5914yes—
2256C2×C4C24×D5912yes—
2257C2×C4C24×D5914yes—
2258C2×C4C24×D5912yes—
2259C22—28no—
2260C22—21no—
2261C22—21no—
2262C22—21no—
2263C22—21no—
2264C22—22no—
2265C22—21no—
2266C22—21no—
2267C22—22no—
2268C22—24no—
2269C22—22no—
2270C22—24no—
2271C22—22no—
2272C22—24no—
2273C22—22no—
2274C22—44no—
2275C22—48no—
2276C22—48no—
2277C22—44no—
2278C22—84no—
2279C22—594no—
2280C22—1182no—
2281C22—1182no—
2282C22—1184no—
2283C22—1182no—
2284C22—1182no—
2285C22—1184no—
2286C22—1184no—
2287C22—1182no—
2288C22—4724no—
2289C22—4728no—
2290C22—2364no—
2291C22—2368no—
2292C22—2368no—
2293C22—2364no—
2294C22C2×#41×D5914yes—
2295C22C2×#41×D5912yes—
2296C22H(5,𝔽2)×D5912yes—
2297C22#1683823712yes—
2298C22C25×D5911yescharacteristic
2299C4—24no—
2300C4—22no—
2301C4—22no—
2302C4—24no—
2303C4—22no—
2304C4—22no—
2305C4—24no—
2306C4—594no—
2307C4—592no—
2308C4—592no—
2309C4—1182no—
2310C4—1184no—
2311C4—1181no—
2312C4—1181no—
2313C4—1182no—
2314C4—1182no—
2315C4—1184no—
2316C4—1184no—
2317C2—22no—
2318C2—22no—
2319C2—22no—
2320C2—24no—
2321C2—42no—
2322C2—44no—
2323C2—1184no—
2324C2—2364no—
2325C2—2362no—
2326C2C22×#41×D5911yescharacteristic
2327C2C2×H(5,𝔽2)×D5911yescharacteristic
2328C2C2×#1683823711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3490C2
hypercenter#3490D59
hypocenterC59#62773
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3490

Complements

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

NH ≅ G/Ntype
1. #21438134C2semidirect
2. #21438117C2semidirect
3. #21438029C2semidirect
4. #21438023C2semidirect
5. #21437943C2semidirect
6. #21437934C2semidirect
7. #21437926C2semidirect
8. #21437896C2semidirect
9. #21437857C2semidirect
10. #21437797C2semidirect
11. #21437785C2semidirect
12. #21437779C2semidirect
13. #21437725C2semidirect
14. #21437701C2semidirect
15. #21437699C2semidirect
16. #21437651C2semidirect
17. #21437580C2semidirect
18. #21437515C2semidirect
19. #21437508C2semidirect
20. #21437507C2semidirect
21. #21437502C2semidirect
22. #21437388C2semidirect
23. C2×#16837908C2semidirect
24. #525×D59C2semidirect
25. #21437300C2semidirect
26. C22×(C22⋊D59)⋊C4C2semidirect
27. C59×#3490C2semidirect
29. C22×#11745687C22semidirect
30. C2×#41×D59C22semidirect
32. C24×Dic59C22semidirect
33. C23×C4×D59C22semidirect
34. #16838136C22semidirect
35. #16838134C22semidirect
36. #16838119C22semidirect
37. #16838114C22semidirect
38. #16838111C22semidirect
39. #16838110C22semidirect
40. #16838106C22semidirect
41. #16838106C22semidirect
42. #16838106C22semidirect
43. #16838103C22semidirect
44. #16838103C22semidirect
45. #16838101C22semidirect
46. #16838101C22semidirect
47. #16838101C22semidirect
48. #16838099C22semidirect
49. #16838098C22semidirect
50. #16838097C22semidirect
51. #16838095C22semidirect
52. #16838095C22semidirect
53. #16838089C22semidirect
54. #16838088C22semidirect
55. #16838085C22semidirect
56. #16838085C22semidirect
57. #16838082C22semidirect
58. #16838081C22semidirect
59. #16838079C22semidirect
60. #16838078C22semidirect
61. #16838078C22semidirect
62. #16838078C22semidirect
63. #16838076C22semidirect
64. #16838076C22semidirect
65. #16838075C22semidirect
66. #16838075C22semidirect
67. #16838070C22semidirect
68. #16838065C22semidirect
69. #16838061C22semidirect
70. #16838060C22semidirect
71. #16838051C22semidirect
72. #16838050C22semidirect
73. #16838050C22semidirect
74. #16838050C22semidirect
75. #16838047C22semidirect
76. #16838044C22semidirect
77. #16838044C22semidirect
78. #16838042C22semidirect
79. #16838042C22semidirect
80. #16838042C22semidirect
81. #16838042C22semidirect
82. #16838042C22semidirect
83. #16838041C22semidirect
84. #16838041C22semidirect
85. #16838040C22semidirect
86. #16838039C22semidirect
87. #16838039C22semidirect
88. #16838039C22semidirect
89. D4×C22⋊D59C22semidirect
90. D4×C22⋊D59C22semidirect
91. #16838034C22semidirect
92. #16838034C22semidirect
93. #16838034C22semidirect
94. #16838031C22semidirect
95. #16838028C22semidirect
96. #16838027C22semidirect
97. #16838018C22semidirect
98. #16838016C22semidirect
99. #16838004C22semidirect
100. #16838002C22semidirect
101. #16838001C22semidirect
102. #16838001C22semidirect
103. #16837997C22semidirect
104. #16837996C22semidirect
105. #16837995C22semidirect
106. #16837994C22semidirect
107. #16837993C22semidirect
108. #16837992C22semidirect
109. #16837992C22semidirect
110. #16837990C22semidirect
111. #16837990C22semidirect
112. #16837989C22semidirect
113. #16837987C22semidirect
114. #16837986C22semidirect
115. #16837985C22semidirect
116. #16837984C22semidirect
117. #16837979C22semidirect
118. #16837967C22semidirect
119. #16837964C22semidirect
120. #16837964C22semidirect
121. #16837962C22semidirect
122. #16837961C22semidirect
123. #16837960C22semidirect
124. #16837955C22semidirect
125. #16837954C22semidirect
126. #16837954C22semidirect
127. #16837951C22semidirect
128. #16837948C22semidirect
129. #16837947C22semidirect
130. #16837947C22semidirect
131. #16837947C22semidirect
132. #16837938C22semidirect
133. #16837938C22semidirect
134. #16837938C22semidirect
135. #16837935C22semidirect
136. #16837935C22semidirect
137. #16837933C22semidirect
138. #16837933C22semidirect
139. #16837932C22semidirect
140. #16837932C22semidirect
141. #16837931C22semidirect
142. #16837929C22semidirect
143. #16837929C22semidirect
144. #16837929C22semidirect
145. #16837929C22semidirect
146. #16837915C22semidirect
147. #16837915C22semidirect
148. #16837915C22semidirect
149. #16837914C22semidirect
150. #16837913C22semidirect
151. #16837913C22semidirect
152. #16837912C22semidirect
153. #16837912C22semidirect
154. #16837912C22semidirect
155. #16837911C22semidirect
156. #16837911C22semidirect
157. #16837910C22semidirect
158. #16837910C22semidirect
159. #16837909C22semidirect
160. #16837908C22semidirect
161. #16837908C22semidirect
162. #16837908C22semidirect
163. #16837908C22semidirect
164. #16837908C22semidirect
165. #16837908C22semidirect
166. #16837908C22semidirect
167. #16837908C22semidirect
168. #16837908C22semidirect
169. #16837908C22semidirect
170. C2×#14273711C22semidirect
171. C2×#14273708C22semidirect
172. #123×D59C22semidirect
173. C2×#14273704C22semidirect
174. C2×#14273704C22semidirect
175. C22⋊Q8×D59C22semidirect
176. C22⋊Q8×D59C22semidirect
177. C2×#14273699C22semidirect
178. C2×#14273699C22semidirect
179. #121×D59C22semidirect
180. #121×D59C22semidirect
181. C2×#14273696C22semidirect
182. #120×D59C22semidirect
183. #16837882C22semidirect
184. #16837881C22semidirect
185. #16837881C22semidirect
187. #16837875C22semidirect
188. #16837875C22semidirect
189. #16837874C22semidirect
190. #16837874C22semidirect
191. #41×Dic59C22semidirect
192. #16837870C22semidirect
193. #16837870C22semidirect
194. C4×#11745687C22semidirect
195. C4×#11745687C22semidirect
196. C4×#11745687C22semidirect
197. C2×D4×Dic59C22semidirect
198. C2×D4×Dic59C22semidirect
201. C2×(C22⋊D59)⋊C4C22semidirect
202. C2×(C22⋊D59)⋊C4C22semidirect
203. C2×(C22⋊D59)⋊C4C22semidirect
204. C2×(C22⋊D59)⋊C4C22semidirect
205. C2×(C22⋊D59)⋊C4C22semidirect
206. C2×(C22⋊D59)⋊C4C22semidirect
207. C2×(C22⋊D59)⋊C4C22semidirect
208. C2×(C22⋊D59)⋊C4C22semidirect
209. C2×(C22⋊D59)⋊C4C22semidirect
210. C2×(C22⋊D59)⋊C4C22semidirect
211. C2×(C22⋊D59)⋊C4C22semidirect
212. C2×(C22⋊D59)⋊C4C22semidirect
213. C2×(C22⋊D59)⋊C4C22semidirect
214. C4×D4×D59C22semidirect
215. C4×D4×D59C22semidirect
216. C4×D4×D59C22semidirect
217. C2×#14273683C22semidirect
218. #117×D59C22semidirect
219. C22×Dic59⋊C4C22semidirect
220. C22×(C2×D59)⋊C4C22semidirect
221. C22×C4×Dic59C22semidirect
222. C59×#551C22semidirect
223. C59×#551C22semidirect
224. C59×#546C22semidirect
225. C59×#546C22semidirect
226. C59×#543C22semidirect
227. C59×#538C22semidirect
228. C59×#538C22semidirect
229. C59×#534C22semidirect
230. C59×#525C22semidirect
231. C59×#525C22semidirect
232. C2×#120×C59C22semidirect
233. C59×#518C22semidirect
234. C22×C22⋊C4×C59C22semidirect
237. C2×#11745689C23semidirect
241. C2×#11745685C23semidirect
247. C2×#11745687C23semidirect
248. C2×#11745687C23semidirect
249. C2×#11745687C23semidirect
251. C22×Dic118C23semidirect
252. C2×Q8×D59C23semidirect
264. C22×C22⋊D59C23semidirect
269. C2×D4×D59C23semidirect
282. C23×Dic59C23semidirect
292. C22×C4×D59C23semidirect
293. C22×C4×D59C23semidirect
294. #14273726C23semidirect
295. #14273726C23semidirect
296. #14273726C23semidirect
297. #14273725C23semidirect
298. #14273725C23semidirect
301. #14273723C23semidirect
302. #14273722C23semidirect
303. #14273722C23semidirect
304. #14273722C23semidirect
305. #14273722C23semidirect
306. #14273722C23semidirect
307. #14273722C23semidirect
308. #14273721C23semidirect
309. #14273721C23semidirect
310. #14273720C23semidirect
311. #14273720C23semidirect
312. #14273720C23semidirect
313. #14273720C23semidirect
314. #14273720C23semidirect
315. #14273720C23semidirect
316. #14273719C23semidirect
317. #14273718C23semidirect
318. #14273718C23semidirect
319. #14273718C23semidirect
320. #14273717C23semidirect
321. #14273717C23semidirect
322. #14273717C23semidirect
323. #14273717C23semidirect
324. #14273717C23semidirect
325. #14273717C23semidirect
326. #14273716C23semidirect
327. #14273716C23semidirect
328. #14273715C23semidirect
329. #14273714C23semidirect
332. #14273713C23semidirect
333. #14273713C23semidirect
334. #14273713C23semidirect
335. #14273713C23semidirect
336. #14273713C23semidirect
337. #14273713C23semidirect
338. #14273712C23semidirect
339. #14273712C23semidirect
340. #14273712C23semidirect
341. #14273712C23semidirect
342. #14273712C23semidirect
343. #14273712C23semidirect
348. #14273711C23semidirect
349. #14273711C23semidirect
350. #14273711C23semidirect
351. #14273711C23semidirect
355. #14273710C23semidirect
356. #14273710C23semidirect
359. #14273709C23semidirect
360. #14273709C23semidirect
361. #14273709C23semidirect
362. #14273709C23semidirect
363. #14273709C23semidirect
364. #14273709C23semidirect
368. #14273708C23semidirect
369. #14273708C23semidirect
370. #14273708C23semidirect
371. #14273707C23semidirect
372. #14273707C23semidirect
373. #14273707C23semidirect
378. #14273706C23semidirect
379. #14273705C23semidirect
380. #14273705C23semidirect
381. #14273705C23semidirect
382. #14273705C23semidirect
383. #14273705C23semidirect
384. #14273705C23semidirect
391. #14273704C23semidirect
392. #14273704C23semidirect
393. #14273704C23semidirect
394. #14273704C23semidirect
395. #14273704C23semidirect
396. #14273704C23semidirect
397. #14273704C23semidirect
398. #14273704C23semidirect
399. #14273703C23semidirect
400. #14273703C23semidirect
401. #14273703C23semidirect
402. #14273703C23semidirect
403. #14273702C23semidirect
404. #14273702C23semidirect
405. #14273702C23semidirect
412. #14273701C23semidirect
417. #14273700C23semidirect
418. #14273700C23semidirect
419. #14273700C23semidirect
420. #14273700C23semidirect
421. #14273700C23semidirect
422. #14273700C23semidirect
433. #14273699C23semidirect
434. #14273699C23semidirect
435. #14273699C23semidirect
436. #14273699C23semidirect
437. #14273699C23semidirect
438. #14273699C23semidirect
441. #14273698C23semidirect
442. #14273698C23semidirect
447. #14273697C23semidirect
448. #14273697C23semidirect
459. #14273695C23semidirect
460. Q8×Dic59C23semidirect
461. Q8×Dic59C23semidirect
462. C4×Dic118C23semidirect
463. C4×Dic118C23semidirect
464. C4×Dic118C23semidirect
465. #14273692C23semidirect
466. #14273692C23semidirect
467. #14273692C23semidirect
468. #14273692C23semidirect
469. #14273692C23semidirect
470. C4×D236C23semidirect
471. C4×D236C23semidirect
472. C4×D236C23semidirect
479. D4×Dic59C23semidirect
480. D4×Dic59C23semidirect
481. D4×Dic59C23semidirect
482. D4×Dic59C23semidirect
483. D4×Dic59C23semidirect
484. D4×Dic59C23semidirect
485. #14273689C23semidirect
486. #14273689C23semidirect
487. #14273689C23semidirect
488. #14273689C23semidirect
489. #14273689C23semidirect
496. C4×C22⋊D59C23semidirect
497. C4×C22⋊D59C23semidirect
498. C4×C22⋊D59C23semidirect
499. C4×C22⋊D59C23semidirect
500. C4×C22⋊D59C23semidirect
501. C4×C22⋊D59C23semidirect
526. (C22⋊D59)⋊C4C23semidirect
527. (C22⋊D59)⋊C4C23semidirect
528. (C22⋊D59)⋊C4C23semidirect
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. (C22⋊D59)⋊C4C23semidirect
537. (C22⋊D59)⋊C4C23semidirect
540. #14273686C23semidirect
541. #14273685C23semidirect
542. #14273685C23semidirect
543. #14273685C23semidirect
544. #14273685C23semidirect
545. #14273685C23semidirect
546. #14273684C23semidirect
547. #14273684C23semidirect
548. #14273684C23semidirect
549. #14273684C23semidirect
553. #14273683C23semidirect
554. #14273683C23semidirect
555. #14273683C23semidirect
556. #14273683C23semidirect
557. #14273683C23semidirect
558. #14273683C23semidirect
559. C2×C4⋊Dic59C23semidirect
560. C2×C4⋊Dic59C23semidirect
567. C2×Dic59⋊C4C23semidirect
568. C2×Dic59⋊C4C23semidirect
569. C2×Dic59⋊C4C23semidirect
570. C2×Dic59⋊C4C23semidirect
571. C2×Dic59⋊C4C23semidirect
572. C4⋊C4×D59C23semidirect
573. C4⋊C4×D59C23semidirect
574. C4⋊C4×D59C23semidirect
575. C4⋊C4×D59C23semidirect
576. C4⋊C4×D59C23semidirect
580. C2×C22⋊Dic59C23semidirect
581. C2×C22⋊Dic59C23semidirect
588. C2×(C2×D59)⋊C4C23semidirect
589. C2×(C2×D59)⋊C4C23semidirect
590. C2×(C2×D59)⋊C4C23semidirect
594. C22⋊C4×D59C23semidirect
595. C22⋊C4×D59C23semidirect
596. C22⋊C4×D59C23semidirect
597. C22⋊C4×D59C23semidirect
606. C2×C4×Dic59C23semidirect
607. C2×C4×Dic59C23semidirect
608. C2×C4×Dic59C23semidirect
609. C42×D59C23semidirect
610. C42×D59C23semidirect
619. #126×C59C23semidirect
620. #126×C59C23semidirect
621. #124×C59C23semidirect
622. #124×C59C23semidirect
625. #123×C59C23semidirect
626. #123×C59C23semidirect
627. #123×C59C23semidirect
632. C22⋊Q8×C59C23semidirect
633. C22⋊Q8×C59C23semidirect
638. #121×C59C23semidirect
639. #121×C59C23semidirect
644. #120×C59C23semidirect
649. C4×D4×C59C23semidirect
650. C4×D4×C59C23semidirect
653. #117×C59C23semidirect
663. C2×C22⋊C4×C59C23semidirect
722. C2×C22⋊D59#41semidirect
954. C23×C59C2×#41semidirect
979. C22×D59C2×#41semidirect
1028. C22⋊D59C2×#41semidirect
1055. C2×Dic59C2×#41semidirect
1056. C2×Dic59H(5,𝔽2)semidirect
1165. #3490D59semidirect
1231. #551C2×D59semidirect
1232. #551C2×D59semidirect
1255. #546C2×D59semidirect
1256. #546C2×D59semidirect
1265. #543C2×D59semidirect
1286. #538C2×D59semidirect
1287. #538C2×D59semidirect
1295. #534C2×D59semidirect
1342. #525C2×D59semidirect
1343. #525C2×D59semidirect
1357. C2×#120C2×D59semidirect
1366. #518C2×D59semidirect
1397. C22×C22⋊C4C2×D59semidirect
1399. C59#62773semidirect
1489. #126C22×D59semidirect
1490. #126C22×D59semidirect
1513. #124C22×D59semidirect
1514. #124C22×D59semidirect
1550. #123C22×D59semidirect
1551. #123C22×D59semidirect
1552. #123C22×D59semidirect
1589. C22⋊Q8C22×D59semidirect
1590. C22⋊Q8C22×D59semidirect
1635. #121C22×D59semidirect
1636. #121C22×D59semidirect
1658. #120C22×D59semidirect
1741. C4×D4C22×D59semidirect
1742. C4×D4C22×D59semidirect
1766. #117C22×D59semidirect
1815. C2×C22⋊C4C22×D59semidirect
2141. C23#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214381342
#214381172
#214380292
#214380232
#214379432
#214379342
#214379262
#214378962
#214378572
#214377972
#214377852
#214377792
#214377252
#214377012
#214376992
#214376512
#214375802
#214375152
#214375082
#214375072
#214375022
#214373882
C2×#168379082
#525×D592
#214373002
C22×(C22⋊D59)⋊C42
C59×#34902
#6277359