Finite Group Databasebeta

← #29497146

Subgroups — #29497146

Order 15104.

7104 conjugacy classes of subgroups.

The subgroup lattice has 2606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438188C212yesmaximal, complemented
2#21438143C212yesmaximal, complemented
3#21438137C214yesmaximal, complemented
4#21438109C212yesmaximal, complemented
5#21438072C212yesmaximal, complemented
6#21438066C214yesmaximal, complemented
7#21438005C211yesmaximal, characteristic, complemented
8#21438001C212yesmaximal, complemented
9#21437981C211yesmaximal, characteristic, complemented
10#21437978C212yesmaximal, complemented
11#21437911C211yesmaximal, characteristic, complemented
12#21437878C211yesmaximal, characteristic, complemented
13#21437851C211yesmaximal, characteristic, complemented
14#21437846C212yesmaximal, complemented
15#21437845C211yesmaximal, characteristic, complemented
16#21437840C212yesmaximal, complemented
17#21437774C211yesmaximal, characteristic, complemented
18#21437771C211yesmaximal, characteristic, complemented
19#21437714C212yesmaximal, complemented
20#21437709C214yesmaximal, complemented
21#21437709C212yesmaximal, complemented
22#21437674C212yesmaximal, complemented
23#21437652C212yesmaximal, complemented
24#21437648C214yesmaximal, complemented
25#21437527C212yesmaximal, complemented
26#21437523C211yesmaximal, characteristic, complemented
27#21437521C212yesmaximal, complemented
28#21437390C212yesmaximal, complemented
29#21437389C211yesmaximal, characteristic, complemented
30C2×#16837956C211yesmaximal, characteristic, complemented
31#533×D59C212yesmaximal, complemented
32C4×#14273775C211yesmaximal, characteristic, complemented
33C4×#14273774C211yesmaximal, characteristic, complemented
34C4×#41×D59C211yesmaximal, characteristic, complemented
35C59×#3461C211yesmaximal, characteristic, complemented
36C2×#14273775C2211yescharacteristic
37C2×#14273774C2211yescharacteristic
38C2×#41×D59C2211yescharacteristic
39#16838132C2212yescomplemented
40#16838129C2214yescomplemented
41#16838129C2212yescomplemented
42#16838129C2214yescomplemented
43#16838127C2212yescomplemented
44#16838127C2212yescomplemented
45#16838126C2212yescomplemented
46#16838123C2212yescomplemented
47#16838123C2212yescomplemented
48#16838121C2212yescomplemented
49#16838121C2214yescomplemented
50#16838121C2212yescomplemented
51#16838119C2214yescomplemented
52#16838119C2214yescomplemented
53#16838119C2214yescomplemented
54#16838119C2214yescomplemented
55#16838116C2212yescomplemented
56#16838114C2214yescomplemented
57#16838113C2212yes—
58#16838110C2212yes—
59#16838110C2212yescomplemented
60#16838108C2214yes—
61#16838108C2212yescomplemented
62#16838106C2214yes—
63#16838106C2214yescomplemented
64#16838106C2214yescomplemented
65#16838103C2214yescomplemented
66#16838097C2214yescomplemented
67#16838095C2214yescomplemented
68#16838094C2214yescomplemented
69#16838094C2212yescomplemented
70#16838090C2212yes—
71#16838090C2214yescomplemented
72#16838090C2212yescomplemented
73#16838089C2214yescomplemented
74#16838089C2214yescomplemented
75#16838089C2214yescomplemented
76#16838089C2214yescomplemented
77#16838088C2214yes—
78#16838088C2214yescomplemented
79#16838088C2214yescomplemented
80#16838088C2214yescomplemented
81#16838088C2214yescomplemented
82#16838086C2212yes—
83#16838086C2214yescomplemented
84#16838084C2214yes—
85#16838084C2214yescomplemented
86#16838084C2214yescomplemented
87#16838084C2214yescomplemented
88#16838082C2214yes—
89#16838080C2214yes—
90#16838079C2214yes—
91#16838077C2214yes—
92#16838077C2214yes—
93#16838075C2214yes—
94#16838067C2212yes—
95#16838067C2212yescomplemented
96#16838065C2212yes—
97#16838065C2212yescomplemented
98#16838065C2214yescomplemented
99#16838065C2212yescomplemented
100#16838062C2214yescomplemented
101#16838060C2212yes—
102#16838060C2214yescomplemented
103#16838058C2212yes—
104#16838058C2214yescomplemented
105#16838055C2212yes—
106#16838054C2212yes—
107#16838054C2212yescomplemented
108#16838054C2212yescomplemented
109#16838052C2214yes—
110#16838052C2212yescomplemented
111#16838050C2214yes—
112#16838050C2214yescomplemented
113#16838050C2214yescomplemented
114#16838050C2214yescomplemented
115#16838049C2212yes—
116#16838045C2212yes—
117#16838044C2214yes—
118#16838041C2214yes—
119#16838032C2212yescomplemented
120#16838030C2211yescharacteristic, complemented
121#16838029C2212yescomplemented
122#16838026C2212yescomplemented
123#16838025C2212yescomplemented
124#16838023C2212yescomplemented
125#16838022C2214yescomplemented
126#16838021C2212yescomplemented
127#16838020C2214yescomplemented
128#16838019C2212yescomplemented
129#16838017C2212yescomplemented
130#16838015C2212yescomplemented
131#16838014C2212yescomplemented
132#16838013C2212yescomplemented
133#16838012C2212yescomplemented
134#16838012C2212yescomplemented
135#16838011C2214yescomplemented
136#16838010C2212yescomplemented
137#16838009C2214yescomplemented
138#16838000C2214yescomplemented
139#16837998C2214yescomplemented
140#16837995C2214yescomplemented
141#16837994C2214yescomplemented
142#16837993C2214yescomplemented
143#16837982C2212yes—
144#16837981C2212yes—
145#16837980C2211yescharacteristic
146#16837978C2211yescharacteristic, complemented
147#16837977C2212yescomplemented
148#16837975C2212yes—
149#16837975C2212yes—
150#16837973C2211yescharacteristic
151#16837972C2212yescomplemented
152#16837959C2212yescomplemented
153#16837958C2214yes—
154#16837958C2212yescomplemented
155#16837957C2212yes—
156#16837957C2212yes—
157#16837956C2212yes—
158#16837956C2212yes—
159#16837956C2211yescharacteristic
160#16837956C2212yes—
161#16837956C2214yes—
162#16837956C2212yes—
163#16837956C2212yescomplemented
164#16837956C2214yescomplemented
165#16837956C2212yescomplemented
166#16837956C2211yescharacteristic, complemented
167#16837956C2212yescomplemented
168#16837956C2212yescomplemented
169#16837956C2212yescomplemented
170#16837955C2214yescomplemented
171#16837955C2214yescomplemented
172#16837955C2211yescharacteristic, complemented
173#16837954C2212yescomplemented
174#16837954C2212yescomplemented
175#16837954C2212yescomplemented
176#16837954C2214yescomplemented
177#16837951C2212yescomplemented
178#16837949C2211yescharacteristic
179#16837949C2211yescharacteristic, complemented
180#16837948C2211yescharacteristic, complemented
181#16837947C2212yescomplemented
182C2×#14273726C2211yescharacteristic, complemented
183C2×#14273725C2211yescharacteristic, complemented
184C4⋊Q8×D59C2212yescomplemented
185C4⋊Q8×D59C2212yescomplemented
186#16837939C2211yescharacteristic
187#16837939C2214yescomplemented
188#16837939C2211yescharacteristic, complemented
189#16837937C2212yes—
190#16837936C2212yescomplemented
191#16837935C2214yes—
192#16837935C2214yescomplemented
193#16837934C2211yescharacteristic
194#16837934C2214yescomplemented
195#16837934C2212yescomplemented
196#16837934C2211yescharacteristic, complemented
197#16837932C2212yescomplemented
198#16837932C2214yescomplemented
199#16837932C2214yescomplemented
200#16837932C2212yescomplemented
201#16837931C2212yes—
202#16837930C2212yes—
203#16837930C2214yescomplemented
204#16837930C2214yescomplemented
205#16837930C2214yescomplemented
206#16837930C2214yescomplemented
207#16837930C2212yescomplemented
208#16837929C2214yescomplemented
209C2×#14273717C2212yescomplemented
210#125×D59C2214yescomplemented
211#16837915C2212yes—
212#16837914C2211yescharacteristic
213#16837912C2212yes—
214#16837911C2212yes—
215#16837911C2212yes—
216#16837911C2214yes—
217#16837910C2214yes—
218#16837909C2211yescharacteristic
219C2×#14273707C2211yescharacteristic
220C2×#14273705C2212yes—
221C2×#14273703C2211yescharacteristic
222C22⋊Q8×D59C2212yes—
223C22⋊Q8×D59C2212yes—
224C22⋊Q8×D59C2214yes—
225#16837885C2211yescharacteristic, complemented
226#16837884C2212yescomplemented
227#16837884C2212yescomplemented
228#16837883C2211yescharacteristic
229#16837883C2211yescharacteristic, complemented
230#16837883C2214yescomplemented
231#16837882C2211yescharacteristic
232#16837882C2212yescomplemented
233#16837881C2212yescomplemented
234#16837881C2214yescomplemented
235#16837880C2211yescharacteristic, complemented
236#16837879C2211yescharacteristic, complemented
237#16837879C2212yescomplemented
238#16837878C2212yescomplemented
239#16837878C2212yescomplemented
240#16837878C2212yescomplemented
241#41×Dic59C2211yescharacteristic
242C4×#11745689C2211yescharacteristic
243C4×#11745689C2211yescharacteristic
244C4×#11745689C2212yescomplemented
245C4×#11745689C2212yescomplemented
246C4×#11745685C2212yes—
247C4×#11745685C2211yescharacteristic
248C4×#11745685C2212yes—
249C4×#11745685C2212yescomplemented
250C4×#11745685C2214yescomplemented
251C4×#11745685C2212yescomplemented
252C4×#11745685C2211yescharacteristic, complemented
253#16837870C2212yes—
254#16837870C2211yescharacteristic
255#16837870C2214yes—
256C4×#11745687C2212yes—
257C4×#11745687C2211yescharacteristic
258C4×#11745687C2212yes—
259C4×#11745687C2211yescharacteristic
260C4×#11745687C2214yescomplemented
261C4×#11745687C2214yescomplemented
262C4×#11745687C2212yescomplemented
263C2×C4×Dic118C2212yescomplemented
264C2×C4×Dic118C2212yescomplemented
265C2×C4×Dic118C2211yescharacteristic, complemented
266C4×Q8×D59C2211yescharacteristic
267C4×Q8×D59C2211yescharacteristic
268C4×Q8×D59C2214yescomplemented
269C4×Q8×D59C2212yescomplemented
270C4×Q8×D59C2212yescomplemented
271C4×Q8×D59C2212yescomplemented
272C4×D4×D59C2212yes—
273C4×D4×D59C2211yescharacteristic
274C4×D4×D59C2212yes—
275C4×D4×D59C2211yescharacteristic
276C2×#14273684C2212yes—
277#117×D59C2212yes—
278#117×D59C2211yescharacteristic
279#117×D59C2214yes—
280C2×C42×D59C2212yes—
281C2×C42×D59C2211yescharacteristic
282C59×#544C2211yescharacteristic, complemented
283C59×#542C2212yescomplemented
284C59×#542C2212yescomplemented
285C59×#541C2212yescomplemented
286C59×#541C2212yescomplemented
287C59×#539C2214yescomplemented
288C59×#537C2211yescharacteristic
289C59×#536C2211yescharacteristic
290C59×#536C2211yescharacteristic, complemented
291C59×#533C2212yescomplemented
292C59×#533C2212yescomplemented
293C59×#529C2214yescomplemented
294C59×#529C2212yescomplemented
295C59×#529C2212yescomplemented
296C4×#41×C59C2211yescharacteristic
297C4×#41×C59C2211yescharacteristic, complemented
298C2×C4×Q8×C59C2211yescharacteristic, complemented
299#14273775—28no—
300#14273774—28no—
301C2×#11745689C2312yes—
302C2×#11745689C2311yescharacteristic
303C2×#11745689C2312yes—
304C2×#11745685C2312yes—
305C2×#11745685C2311yescharacteristic
306C2×#11745685C2312yes—
307C2×#11745685C2312yes—
308C2×#11745685C2314yes—
309C2×#11745685C2312yes—
310C2×#11745685C2311yescharacteristic
311C2×#11745687C2312yes—
312C2×#11745687C2312yes—
313C2×#11745687C2311yescharacteristic
314C2×#11745687C2314yes—
315C2×#11745687C2314yes—
316#41×D59—28no—
317C22×Dic118C2311yescharacteristic
318C22×Dic118C2312yes—
319C22×Dic118C2312yes—
320C2×Q8×D59C2312yes—
321C2×Q8×D59C2312yes—
322C2×Q8×D59C2311yescharacteristic
323C2×Q8×D59C2312yes—
324C2×Q8×D59C2314yes—
325C2×D4×D59C2312yes—
326C2×D4×D59C2311yescharacteristic
327C22×C4×D59C2312yes—
328C22×C4×D59C2311yescharacteristic
329C22×C4×D59C2312yes—
330C22×C4×D59C2311yescharacteristic
331C22×C4×D59C2312yes—
332C22×C4×D59C2311yescharacteristic
333#14273727C2312yes—
334#14273727C2312yes—
335#14273726C2311yescharacteristic
336#14273726C2312yes—
337#14273726C2314yes—
338#14273726C2314yes—
339#14273726C2314yes—
340#14273726C2312yes—
341#14273726C2312yes—
342#14273726C2312yes—
343#14273726C2311yescharacteristic
344#14273726C2314yes—
345#14273726C2314yes—
346#14273726C2314yes—
347#14273726C2312yes—
348#14273725C2311yescharacteristic
349#14273725C2312yes—
350#14273725C2314yes—
351#14273725C2312yes—
352#14273725C2312yes—
353#14273725C2312yes—
354#14273725C2312yes—
355#14273725C2314yes—
356#14273723C2311yescharacteristic
357#14273722C2314yes—
358#14273722C2312yes—
359#14273722C2312yes—
360#14273722C2314yes—
361#14273722C2314yes—
362#14273722C2314yes—
363#14273722C2314yes—
364#14273722C2314yes—
365#14273722C2314yes—
366#14273722C2314yes—
367#14273721C2314yes—
368#14273720C2314yes—
369#14273720C2312yes—
370#14273720C2312yes—
371#14273720C2314yes—
372#14273720C2314yes—
373#14273720C2314yes—
374#14273720C2314yes—
375#14273720C2314yes—
376#14273720C2314yes—
377#14273720C2314yes—
378#14273720C2314yes—
379#14273719C2314yes—
380#14273719C2312yes—
381#14273718C2314yes—
382#14273718C2314yes—
383#14273718C2311yescharacteristic
384#14273718C2311yescharacteristic
385#14273718C2314yes—
386#14273718C2312yes—
387#14273718C2314yes—
388#14273718C2314yes—
389#14273718C2314yes—
390#14273717C2312yes—
391#14273717C2314yes—
392#14273717C2314yes—
393#14273717C2314yes—
394#14273717C2314yes—
395#14273717C2314yes—
396#14273717C2314yes—
397#14273717C2312yes—
398#14273717C2314yes—
399#14273717C2314yes—
400#14273717C2314yes—
401#14273717C2314yes—
402#14273717C2314yes—
403#14273717C2314yes—
404#14273717C2314yes—
405#14273717C2314yes—
406#14273717C2314yes—
407#14273716C2311yescharacteristic
408#14273716C2314yes—
409#14273715C2312yes—
410#14273714C2311yescharacteristic
411#14273714C2312yes—
412#14273714C2314yes—
413#14273713C2312yes—
414#14273713C2312yes—
415#14273713C2314yes—
416#14273713C2314yes—
417#14273713C2314yes—
418#14273713C2314yes—
419#14273713C2314yes—
420#14273713C2314yes—
421#14273712C2312yes—
422#14273712C2312yes—
423#14273712C2314yes—
424#14273712C2314yes—
425#14273712C2314yes—
426#14273712C2314yes—
427#14273712C2314yes—
428#14273712C2314yes—
429#14273712C2314yes—
430#14273711C2312yes—
431#14273711C2314yes—
432#14273711C2314yes—
433#14273710C2314yes—
434#14273709C2312yes—
435#14273709C2312yes—
436#14273709C2314yes—
437#14273709C2314yes—
438#14273709C2314yes—
439#14273709C2314yes—
440#14273709C2314yes—
441#14273709C2314yes—
442#14273709C2314yes—
443#14273709C2314yes—
444#14273708C2312yes—
445#14273708C2314yes—
446#14273708C2314yes—
447#14273707C2311yescharacteristic
448#14273707C2312yes—
449#14273707C2314yes—
450#14273707C2312yes—
451#14273707C2312yes—
452#14273707C2312yes—
453#14273707C2311yescharacteristic
454#14273707C2312yes—
455#14273707C2314yes—
456#14273707C2312yes—
457#14273707C2314yes—
458#14273706C2312yes—
459#14273706C2312yes—
460#14273706C2314yes—
461#14273706C2312yes—
462#14273705C2312yes—
463#14273705C2314yes—
464#14273705C2314yes—
465#14273705C2314yes—
466#14273705C2314yes—
467#14273705C2314yes—
468#14273705C2314yes—
469#14273705C2314yes—
470#14273705C2312yes—
471#14273705C2314yes—
472#14273705C2314yes—
473#14273705C2314yes—
474#14273705C2314yes—
475#14273705C2314yes—
476#14273705C2314yes—
477#14273705C2314yes—
478#14273704C2314yes—
479#14273704C2314yes—
480#14273704C2314yes—
481#14273704C2314yes—
482#14273704C2314yes—
483#14273704C2312yes—
484#14273704C2312yes—
485#14273704C2314yes—
486#14273704C2314yes—
487#14273704C2314yes—
488#14273704C2314yes—
489#14273704C2314yes—
490#14273704C2314yes—
491#14273703C2311yescharacteristic
492#14273703C2312yes—
493#14273703C2314yes—
494#14273703C2312yes—
495#14273703C2312yes—
496#14273703C2312yes—
497#14273703C2311yescharacteristic
498#14273703C2314yes—
499#14273703C2312yes—
500#14273703C2314yes—
501#14273702C2311yescharacteristic
502#14273702C2311yescharacteristic
503#14273702C2314yes—
504#14273701C2312yes—
505#14273700C2312yes—
506#14273700C2314yes—
507#14273700C2312yes—
508#14273700C2314yes—
509#14273700C2314yes—
510#14273700C2314yes—
511#14273700C2314yes—
512#14273699C2314yes—
513#14273699C2312yes—
514#14273699C2312yes—
515#14273699C2314yes—
516#14273699C2314yes—
517#14273698C2311yescharacteristic
518#14273698C2311yescharacteristic
519#14273698C2312yes—
520#14273698C2314yes—
521#14273697C2314yes—
522#14273697C2312yes—
523#14273695C2312yes—
524#14273695C2314yes—
525Q8×Dic59C2312yes—
526Q8×Dic59C2312yes—
527Q8×Dic59C2312yes—
528Q8×Dic59C2314yes—
529Q8×Dic59C2312yes—
530Q8×Dic59C2312yes—
531Q8×Dic59C2311yescharacteristic
532Q8×Dic59C2311yescharacteristic
533C4×Dic118C2312yes—
534C4×Dic118C2314yes—
535C4×Dic118C2314yes—
536C4×Dic118C2314yes—
537C4×Dic118C2314yes—
538C4×Dic118C2312yes—
539C4×Dic118C2312yes—
540C4×Dic118C2314yes—
541C4×Dic118C2312yes—
542C4×Dic118C2311yescharacteristic
543C4×Dic118C2312yes—
544C4×Dic118C2311yescharacteristic
545C4×Dic118C2312yes—
546C4×Dic118C2312yes—
547C4×Dic118C2312yes—
548C4×Dic118C2312yes—
549C4×Dic118C2314yes—
550C4×Dic118C2314yes—
551C4×Dic118C2312yes—
552C4×Dic118C2312yes—
553C4×Dic118C2314yes—
554C4×Dic118C2314yes—
555C4×Dic118C2312yes—
556C4×Dic118C2312yes—
557C4×Dic118C2311yescharacteristic
558C4×Dic118C2311yescharacteristic
559#14273692C2314yes—
560#14273692C2314yes—
561#14273692C2314yes—
562#14273692C2312yes—
563#14273692C2312yes—
564#14273692C2312yes—
565#14273692C2314yes—
566#14273692C2314yes—
567#14273692C2314yes—
568#14273692C2314yes—
569#14273692C2314yes—
570#14273692C2312yes—
571#14273692C2311yescharacteristic
572#14273692C2311yescharacteristic
573#14273692C2314yes—
574#14273692C2314yes—
575#14273692C2312yes—
576#14273692C2312yes—
577C4×D236C2312yes—
578C4×D236C2314yes—
579C4×D236C2312yes—
580C4×D236C2312yes—
581C4×D236C2312yes—
582C4×D236C2312yes—
583C4×D236C2311yescharacteristic
584C4×D236C2311yescharacteristic
585C4×D236C2312yes—
586C4×D236C2312yes—
587C4×D236C2314yes—
588C4×D236C2311yescharacteristic
589C4×D236C2311yescharacteristic
590D4×Dic59C2314yes—
591D4×Dic59C2312yes—
592D4×Dic59C2311yescharacteristic
593D4×Dic59C2312yes—
594D4×Dic59C2314yes—
595D4×Dic59C2312yes—
596D4×Dic59C2311yescharacteristic
597#14273689C2314yes—
598#14273689C2314yes—
599#14273689C2314yes—
600#14273689C2312yes—
601#14273689C2312yes—
602#14273689C2311yescharacteristic
603#14273689C2311yescharacteristic
604#14273689C2312yes—
605#14273689C2314yes—
606#14273689C2312yes—
607C4×C22⋊D59C2312yes—
608C4×C22⋊D59C2312yes—
609C4×C22⋊D59C2312yes—
610C4×C22⋊D59C2314yes—
611C4×C22⋊D59C2314yes—
612C4×C22⋊D59C2312yes—
613C4×C22⋊D59C2312yes—
614C4×C22⋊D59C2312yes—
615C4×C22⋊D59C2312yes—
616C4×C22⋊D59C2312yes—
617C4×C22⋊D59C2312yes—
618C4×C22⋊D59C2312yes—
619C4×C22⋊D59C2312yes—
620C4×C22⋊D59C2312yes—
621C4×C22⋊D59C2312yes—
622C4×C22⋊D59C2312yes—
623C4×C22⋊D59C2314yes—
624C4×C22⋊D59C2314yes—
625C4×C22⋊D59C2314yes—
626C4×C22⋊D59C2312yes—
627C4×C22⋊D59C2312yes—
628(C22⋊D59)⋊C4C2314yes—
629(C22⋊D59)⋊C4C2314yes—
630(C22⋊D59)⋊C4C2314yes—
631(C22⋊D59)⋊C4C2314yes—
632(C22⋊D59)⋊C4C2314yes—
633(C22⋊D59)⋊C4C2314yes—
634(C22⋊D59)⋊C4C2314yes—
635(C22⋊D59)⋊C4C2314yes—
636(C22⋊D59)⋊C4C2312yes—
637(C22⋊D59)⋊C4C2312yes—
638(C22⋊D59)⋊C4C2312yes—
639(C22⋊D59)⋊C4C2312yes—
640(C22⋊D59)⋊C4C2314yes—
641(C22⋊D59)⋊C4C2312yes—
642(C22⋊D59)⋊C4C2312yes—
643#14273686C2311yescharacteristic
644#14273686C2314yes—
645#14273686C2312yes—
646#14273686C2312yes—
647#14273686C2312yes—
648#14273686C2314yes—
649#14273686C2312yes—
650#14273686C2311yescharacteristic
651#14273685C2312yes—
652#14273685C2312yes—
653#14273685C2314yes—
654#14273685C2314yes—
655#14273685C2314yes—
656#14273685C2314yes—
657#14273685C2314yes—
658#14273685C2314yes—
659#14273685C2312yes—
660#14273685C2312yes—
661#14273685C2312yes—
662#14273685C2311yescharacteristic
663#14273685C2311yescharacteristic
664#14273684C2312yes—
665#14273684C2314yes—
666#14273684C2312yes—
667#14273684C2312yes—
668#14273684C2314yes—
669#14273684C2312yes—
670#14273684C2314yes—
671#14273684C2312yes—
672#14273684C2314yes—
673#14273684C2314yes—
674#14273684C2312yes—
675#14273684C2312yes—
676#14273684C2314yes—
677#14273684C2314yes—
678#14273684C2314yes—
679#14273684C2312yes—
680#14273683C2314yes—
681#14273683C2314yes—
682#14273683C2314yes—
683#14273683C2314yes—
684#14273683C2314yes—
685#14273683C2314yes—
686#14273683C2314yes—
687#14273683C2312yes—
688#14273683C2312yes—
689#14273683C2312yes—
690C2×C4⋊Dic59C2311yescharacteristic
691C2×C4⋊Dic59C2312yes—
692C2×C4⋊Dic59C2312yes—
693C2×Dic59⋊C4C2312yes—
694C2×Dic59⋊C4C2312yes—
695C2×Dic59⋊C4C2312yes—
696C2×Dic59⋊C4C2312yes—
697C2×Dic59⋊C4C2312yes—
698C2×Dic59⋊C4C2314yes—
699C4⋊C4×D59C2314yes—
700C4⋊C4×D59C2314yes—
701C4⋊C4×D59C2314yes—
702C4⋊C4×D59C2314yes—
703C4⋊C4×D59C2312yes—
704C4⋊C4×D59C2312yes—
705C4⋊C4×D59C2314yes—
706C4⋊C4×D59C2314yes—
707C4⋊C4×D59C2314yes—
708C4⋊C4×D59C2314yes—
709C4⋊C4×D59C2312yes—
710C4⋊C4×D59C2312yes—
711C4⋊C4×D59C2311yescharacteristic
712C4⋊C4×D59C2312yes—
713C4⋊C4×D59C2311yescharacteristic
714C2×(C2×D59)⋊C4C2312yes—
715C2×(C2×D59)⋊C4C2312yes—
716C22⋊C4×D59C2314yes—
717C22⋊C4×D59C2314yes—
718C22⋊C4×D59C2312yes—
719C22⋊C4×D59C2312yes—
720C22⋊C4×D59C2312yes—
721C2×C4×Dic59C2311yescharacteristic
722C2×C4×Dic59C2312yes—
723C2×C4×Dic59C2311yescharacteristic
724C2×C4×Dic59C2312yes—
725C2×C4×Dic59C2314yes—
726C2×C4×Dic59C2311yescharacteristic
727C2×C4×Dic59C2312yes—
728C2×C4×Dic59C2312yes—
729C42×D59C2312yes—
730C42×D59C2311yescharacteristic
731C42×D59C2311yescharacteristic
732C42×D59C2312yes—
733C42×D59C2314yes—
734C42×D59C2314yes—
735C42×D59C2314yes—
736C42×D59C2312yes—
737C42×D59C2311yescharacteristic
738C42×D59C2311yescharacteristic
739C42×D59C2312yes—
740C42×D59C2312yes—
741C42×D59C2312yes—
742C42×D59C2311yescharacteristic
743C42×D59C2311yescharacteristic
744C42×D59C2312yes—
745C42×D59C2311yescharacteristic
746C42×D59C2311yescharacteristic
747C42×D59C2312yes—
748C2×#41×C59C2311yescharacteristic
749C2×#41×C59C2311yescharacteristic
750C22×Q8×C59C2311yescharacteristic
751C4⋊Q8×C59C2312yes—
752C4⋊Q8×C59C2312yes—
753C4⋊Q8×C59C2312yes—
754C4⋊Q8×C59C2312yes—
755#126×C59C2314yes—
756#126×C59C2314yes—
757#126×C59C2314yes—
758#126×C59C2314yes—
759#125×C59C2314yes—
760#125×C59C2312yes—
761#125×C59C2314yes—
762#125×C59C2314yes—
763#125×C59C2312yes—
764#124×C59C2312yes—
765#124×C59C2312yes—
766#124×C59C2314yes—
767#123×C59C2314yes—
768#123×C59C2314yes—
769#123×C59C2314yes—
770#123×C59C2314yes—
771C22⋊Q8×C59C2312yes—
772C22⋊Q8×C59C2312yes—
773C22⋊Q8×C59C2314yes—
774C22⋊Q8×C59C2312yes—
775C22⋊Q8×C59C2312yes—
776C22⋊Q8×C59C2312yes—
777C22⋊Q8×C59C2312yes—
778C22⋊Q8×C59C2314yes—
779C22⋊Q8×C59C2314yes—
780#121×C59C2312yes—
781#121×C59C2314yes—
782#121×C59C2312yes—
783C4×Q8×C59C2311yescharacteristic
784C4×Q8×C59C2314yes—
785C4×Q8×C59C2311yescharacteristic
786C4×Q8×C59C2312yes—
787C4×Q8×C59C2312yes—
788C4×Q8×C59C2312yes—
789C4×Q8×C59C2312yes—
790C4×Q8×C59C2311yescharacteristic
791C4×Q8×C59C2311yescharacteristic
792C4×D4×C59C2314yes—
793C4×D4×C59C2312yes—
794C4×D4×C59C2312yes—
795C4×D4×C59C2312yes—
796C4×D4×C59C2311yescharacteristic
797C4×D4×C59C2311yescharacteristic
798C4×D4×C59C2311yescharacteristic
799C4×D4×C59C2312yes—
800C4×D4×C59C2311yescharacteristic
801#117×C59C2311yescharacteristic
802#117×C59C2312yes—
803#117×C59C2314yes—
804#117×C59C2314yes—
805#117×C59C2311yescharacteristic
806#117×C59C2312yes—
807C2×C4⋊C4×C59C2312yes—
808C2×C4⋊C4×C59C2311yescharacteristic
809C2×C42×C59C2312yes—
810C2×C42×C59C2311yescharacteristic
811C2×C42×C59C2312yes—
812C2×C42×C59C2312yes—
813C23×D59C2412yes—
814C23×D59C2411yescharacteristic
815#41×C59—24no—
816#41×C59—24no—
817C2×Q8×C59—24no—
818C2×Q8×C59C2412yes—
819C2×Q8×C59C2412yes—
820C2×Q8×C59C2411yescharacteristic
821C2×Q8×C59C2411yescharacteristic
822C2×Q8×C59C2414yes—
823C2×D4×C59C2412yes—
824C2×D4×C59C2412yes—
825C2×D4×C59C2411yescharacteristic
826C2×D4×C59C2411yescharacteristic
827C2×D4×C59C2414yes—
828C22×C4×C59C2411yescharacteristic
829C22×C4×C59C2412yes—
830C22×C4×C59C2412yes—
831C22×C4×C59C2412yes—
832C22×C4×C59C2412yes—
833C22×C4×C59C2412yes—
834C22×C4×C59C2411yescharacteristic
835C22×C4×C59C2412yes—
836C22×C4×C59C2412yes—
837C22×C4×C59C2412yes—
838C22×C4×C59C2411yescharacteristic
839C2×C22⋊D59C2412yes—
840C2×C22⋊D59C2412yes—
841C2×C22⋊D59C2414yes—
842C2×C22⋊D59C2412yes—
843C2×C22⋊D59C2412yes—
844C2×C22⋊D59C2412yes—
845C2×C22⋊D59C2412yes—
846C2×C22⋊D59C2414yes—
847C2×C22⋊D59C2412yes—
848C2×C22⋊D59C2412yes—
849C22×Dic59C2411yescharacteristic
850C22×Dic59C2411yescharacteristic
851C22×Dic59C2411yescharacteristic
852C22×Dic59C2412yes—
853C22×Dic59C2412yes—
854C22×Dic59C2412yes—
855C22×Dic59C2412yes—
856C22×Dic59C2414yes—
857C22×Dic59C2412yes—
858C22×Dic59C2414yes—
859#11745689—24no—
860#11745689—28no—
861#11745689—28no—
862Q8×D59—28no—
863Q8×D59—28no—
864Q8×D59—24no—
865Q8×D59—28no—
866Q8×D59—48no—
867#11745687—28no—
868#11745687—216no—
869#11745687—28no—
870#11745687—24no—
871#11745687—48no—
872D4×D59—28no—
873D4×D59—24no—
874#11745685—24no—
875#11745685—216no—
876#11745685—28no—
877#11745685—28no—
878#11745685—28no—
879#11745685—44no—
880#11745685#4118yescomplemented
881C2×D236C2412yes—
882C2×D236C2414yes—
883C2×D236C2412yes—
884C2×D236C2411yescharacteristic
885C2×D236C2412yes—
886C2×D236C2411yescharacteristic
887C2×C4×D59—24no—
888C2×C4×D59—28no—
889C2×C4×D59—28no—
890C2×C4×D59—24no—
891C2×C4×D59—42no—
892C2×C4×D59—44no—
893C2×C4×D59C2412yes—
894C2×C4×D59C2411yescharacteristic
895C2×C4×D59C2411yescharacteristic
896C2×C4×D59C2412yes—
897C2×C4×D59C2411yescharacteristic
898C2×C4×D59C2412yes—
899C2×C4×D59C2412yes—
900C2×C4×D59C2412yes—
901C2×C4×D59C2412yes—
902C2×C4×D59C2412yes—
903C2×C4×D59C2411yescharacteristic
904C2×C4×D59C2411yescharacteristic
905C2×C4×D59C2411yescharacteristic
906C2×C4×D59C2411yescharacteristic
907C2×C4×D59C2411yescharacteristic
908C2×C4×D59C2411yescharacteristic
909C2×C4×D59C2414yes—
910C2×C4×D59C2414yes—
911C2×C4×D59C2414yes—
912C2×C4×D59C2412yes—
913C2×C4×D59C2412yes—
914C2×C4×D59C2411yescharacteristic
915C2×C4×D59C2412yes—
916C2×C4×D59C2411yescharacteristic
917C2×C4×D59C2414yes—
918C2×C4×D59C2414yes—
919C2×C4×D59C2412yes—
920C2×C4×D59C2414yes—
921C2×C4×D59C2412yes—
922C2×C4×D59C2411yescharacteristic
923C2×Dic118—24no—
924C2×Dic118—28no—
925C2×Dic118—44no—
926C2×Dic118C2412yes—
927C2×Dic118C2414yes—
928C2×Dic118C2412yes—
929C2×Dic118C2412yes—
930C2×Dic118C2414yes—
931C2×Dic118C2414yes—
932C2×Dic118C2411yescharacteristic
933C2×Dic118C2412yes—
934C2×Dic118C2412yes—
935C2×Dic118C2414yes—
936C2×Dic118C2414yes—
937C2×Dic118C2411yescharacteristic
938C4⋊C4×C59C2412yes—
939C4⋊C4×C59C2412yes—
940C4⋊C4×C59C2414yes—
941C4⋊C4×C59C2414yes—
942C4⋊C4×C59C2412yes—
943C4⋊C4×C59C2412yes—
944C4⋊C4×C59C2411yescharacteristic
945C4⋊C4×C59C2411yescharacteristic
946C4⋊C4×C59C2411yescharacteristic
947C4⋊C4×C59C2411yescharacteristic
948C4⋊C4×C59C2412yes—
949C4⋊C4×C59C2412yes—
950C4⋊C4×C59C2414yes—
951C4⋊C4×C59C2414yes—
952C4⋊C4×C59C2414yes—
953C4⋊C4×C59C2414yes—
954C4⋊C4×C59C2414yes—
955C4⋊C4×C59C2414yes—
956C4⋊C4×C59C2414yes—
957C4⋊C4×C59C2414yes—
958C22⋊C4×C59C2412yes—
959C22⋊C4×C59C2412yes—
960C22⋊C4×C59C2412yes—
961C22⋊C4×C59C2412yes—
962C22⋊C4×C59C2412yes—
963C22⋊C4×C59C2412yes—
964C22⋊C4×C59C2414yes—
965C22⋊C4×C59C2414yes—
966C22⋊C4×C59C2414yes—
967C22⋊C4×C59C2414yes—
968C22⋊C4×C59C2414yes—
969C22⋊C4×C59C2414yes—
970C42×C59C2411yescharacteristic
971C42×C59C2411yescharacteristic
972C42×C59C2411yescharacteristic
973C42×C59C2411yescharacteristic
974C42×C59C2414yes—
975C42×C59C2412yes—
976C42×C59C2412yes—
977C42×C59C2412yes—
978C42×C59C2412yes—
979C42×C59C2412yes—
980C42×C59C2412yes—
981C42×C59C2414yes—
982C22⋊Dic59C2412yes—
983C22⋊Dic59C2412yes—
984C22⋊Dic59C2412yes—
985C22⋊Dic59C2414yes—
986C22⋊Dic59C2414yes—
987C22⋊Dic59C2412yes—
988C22⋊Dic59C2414yes—
989C22⋊Dic59C2414yes—
990C22⋊Dic59C2412yes—
991C22⋊Dic59C2412yes—
992C22⋊Dic59C2412yes—
993C22⋊Dic59C2412yes—
994(C2×D59)⋊C4C2412yes—
995(C2×D59)⋊C4C2412yes—
996(C2×D59)⋊C4C2414yes—
997(C2×D59)⋊C4C2414yes—
998(C2×D59)⋊C4C2412yes—
999(C2×D59)⋊C4C2412yes—
1000(C2×D59)⋊C4C2412yes—
1001(C2×D59)⋊C4C2412yes—
1002(C2×D59)⋊C4C2412yes—
1003(C2×D59)⋊C4C2412yes—
1004(C2×D59)⋊C4C2414yes—
1005(C2×D59)⋊C4C2414yes—
1006(C2×D59)⋊C4C2412yes—
1007(C2×D59)⋊C4C2414yes—
1008(C2×D59)⋊C4C2412yes—
1009(C2×D59)⋊C4C2414yes—
1010(C2×D59)⋊C4C2414yes—
1011(C2×D59)⋊C4C2412yes—
1012(C2×D59)⋊C4C2414yes—
1013(C2×D59)⋊C4C2414yes—
1014(C2×D59)⋊C4C2412yes—
1015(C2×D59)⋊C4C2412yes—
1016(C2×D59)⋊C4C2412yes—
1017(C2×D59)⋊C4C2412yes—
1018(C2×D59)⋊C4C2412yes—
1019(C2×D59)⋊C4C2414yes—
1020C4⋊Dic59C2411yescharacteristic
1021C4⋊Dic59C2411yescharacteristic
1022C4⋊Dic59C2414yes—
1023C4⋊Dic59C2412yes—
1024C4⋊Dic59C2412yes—
1025C4⋊Dic59C2414yes—
1026C4⋊Dic59C2414yes—
1027C4⋊Dic59C2411yescharacteristic
1028C4⋊Dic59C2412yes—
1029C4⋊Dic59C2412yes—
1030C4⋊Dic59C2414yes—
1031C4⋊Dic59C2414yes—
1032C4⋊Dic59C2414yes—
1033C4⋊Dic59C2412yes—
1034C4⋊Dic59C2414yes—
1035C4⋊Dic59C2411yescharacteristic
1036C4⋊Dic59C2414yes—
1037C4⋊Dic59C2412yes—
1038C4⋊Dic59C2412yes—
1039C4⋊Dic59C2412yes—
1040Dic59⋊C4C2412yes—
1041Dic59⋊C4C2412yes—
1042Dic59⋊C4C2412yes—
1043Dic59⋊C4C2414yes—
1044Dic59⋊C4C2412yes—
1045Dic59⋊C4C2414yes—
1046Dic59⋊C4C2412yes—
1047Dic59⋊C4C2412yes—
1048Dic59⋊C4C2414yes—
1049Dic59⋊C4C2414yes—
1050Dic59⋊C4C2414yes—
1051Dic59⋊C4C2414yes—
1052Dic59⋊C4C2414yes—
1053Dic59⋊C4C2414yes—
1054Dic59⋊C4C2414yes—
1055Dic59⋊C4C2412yes—
1056Dic59⋊C4C2412yes—
1057Dic59⋊C4C2412yes—
1058Dic59⋊C4C2412yes—
1059Dic59⋊C4C2412yes—
1060Dic59⋊C4C2414yes—
1061Dic59⋊C4C2414yes—
1062Dic59⋊C4C2414yes—
1063Dic59⋊C4C2414yes—
1064Dic59⋊C4C2414yes—
1065Dic59⋊C4C2414yes—
1066Dic59⋊C4C2414yes—
1067Dic59⋊C4C2412yes—
1068Dic59⋊C4C2414yes—
1069Dic59⋊C4C2414yes—
1070Dic59⋊C4C2412yes—
1071Dic59⋊C4C2414yes—
1072Dic59⋊C4C2414yes—
1073Dic59⋊C4C2412yes—
1074Dic59⋊C4C2412yes—
1075Dic59⋊C4C2412yes—
1076C4×Dic59C2412yes—
1077C4×Dic59C2411yescharacteristic
1078C4×Dic59C2411yescharacteristic
1079C4×Dic59C2411yescharacteristic
1080C4×Dic59C2412yes—
1081C4×Dic59C2412yes—
1082C4×Dic59C2411yescharacteristic
1083C4×Dic59C2412yes—
1084C4×Dic59C2412yes—
1085C4×Dic59C2411yescharacteristic
1086C4×Dic59C2411yescharacteristic
1087C4×Dic59C2412yes—
1088C4×Dic59C2411yescharacteristic
1089C4×Dic59C2412yes—
1090C4×Dic59C2412yes—
1091C4×Dic59C2411yescharacteristic
1092C4×Dic59C2412yes—
1093C4×Dic59C2411yescharacteristic
1094C4×Dic59C2411yescharacteristic
1095C4×Dic59C2411yescharacteristic
1096C4×Dic59C2411yescharacteristic
1097C4×Dic59C2412yes—
1098C4×Dic59C2414yes—
1099C4×Dic59C2414yes—
1100C4×Dic59C2414yes—
1101C4×Dic59C2414yes—
1102C4×Dic59C2414yes—
1103C4×Dic59C2414yes—
1104C4×Dic59C2412yes—
1105C4×Dic59C2412yes—
1106C4×Dic59C2414yes—
1107C4×Dic59C2414yes—
1108C4×Dic59C2414yes—
1109C4×Dic59C2414yes—
1110C23×C59C2512yes—
1111C23×C59C2512yes—
1112C23×C59C2511yescharacteristic
1113C22×D59—22no—
1114C22×D59—24no—
1115C22×D59—24no—
1116C22×D59—22no—
1117C22×D59—42no—
1118C22×D59—41no—
1119C22×D59C2511yescharacteristic
1120C22×D59C2512yes—
1121C22×D59C2512yes—
1122C22×D59C2511yescharacteristic
1123Q8×C59—22no—
1124Q8×C59—24no—
1125Q8×C59—24no—
1126Q8×C59—22no—
1127Q8×C59—44no—
1128D4×C59—24no—
1129D4×C59—24no—
1130D4×C59—22no—
1131D4×C59—22no—
1132D4×C59—44no—
1133C2×C4×C59—24no—
1134C2×C4×C59—24no—
1135C2×C4×C59—24no—
1136C2×C4×C59—22no—
1137C2×C4×C59—24no—
1138C2×C4×C59—24no—
1139C2×C4×C59—42no—
1140C2×C4×C59—42no—
1141C2×C4×C59—41no—
1142C2×C4×C59—42no—
1143C2×C4×C59C2×#4114yes—
1144C2×C4×C59C2511yescharacteristic
1145C2×C4×C59C2511yescharacteristic
1146C2×C4×C59C2511yescharacteristic
1147C2×C4×C59C2512yes—
1148C2×C4×C59C2514yes—
1149C2×C4×C59C2512yes—
1150C2×C4×C59C2512yes—
1151C2×C4×C59C2512yes—
1152C2×C4×C59C2512yes—
1153C2×C4×C59C2512yes—
1154C2×C4×C59C2514yes—
1155C2×C4×C59C2511yescharacteristic
1156C2×C4×C59C2511yescharacteristic
1157C2×C4×C59C2511yescharacteristic
1158C22⋊D59—24no—
1159C22⋊D59—24no—
1160C22⋊D59—28no—
1161C22⋊D59—24no—
1162C22⋊D59—24no—
1163C22⋊D59—24no—
1164C22⋊D59—24no—
1165C22⋊D59—42no—
1166C22⋊D59—44no—
1167C22⋊D59C2×#4118yes—
1168C2×Dic59—24no—
1169C2×Dic59—22no—
1170C2×Dic59—28no—
1171C2×Dic59—24no—
1172C2×Dic59—22no—
1173C2×Dic59—24no—
1174C2×Dic59—22no—
1175C2×Dic59—24no—
1176C2×Dic59—42no—
1177C2×Dic59—44no—
1178C2×Dic59C2512yes—
1179C2×Dic59C2511yescharacteristic
1180C2×Dic59C2512yes—
1181C2×Dic59C2512yes—
1182C2×Dic59C2511yescharacteristic
1183C2×Dic59C2511yescharacteristic
1184C2×Dic59C2514yes—
1185C2×Dic59C2514yes—
1186C2×Dic59C2512yes—
1187C2×Dic59C2512yes—
1188C2×Dic59C2511yescharacteristic
1189C2×Dic59C2512yes—
1190C2×Dic59C2511yescharacteristic
1191C2×Dic59C2511yescharacteristic
1192D236—24no—
1193D236—28no—
1194D236—24no—
1195D236—22no—
1196D236—42no—
1197D236C2×#4114yes—
1198C4×D59—24no—
1199C4×D59—28no—
1200C4×D59—28no—
1201C4×D59—22no—
1202C4×D59—24no—
1203C4×D59—22no—
1204C4×D59—22no—
1205C4×D59—22no—
1206C4×D59—22no—
1207C4×D59—24no—
1208C4×D59—24no—
1209C4×D59—22no—
1210C4×D59—24no—
1211C4×D59—24no—
1212C4×D59—28no—
1213C4×D59—24no—
1214C4×D59—22no—
1215C4×D59—22no—
1216C4×D59—22no—
1217C4×D59—24no—
1218C4×D59—41no—
1219C4×D59—41no—
1220C4×D59—42no—
1221C4×D59—42no—
1222C4×D59—42no—
1223C4×D59—44no—
1224C4×D59—44no—
1225C4×D59—44no—
1226C4×D59C2×#4118yes—
1227C4×D592−1+414yescomplemented
1228Dic118—24no—
1229Dic118—24no—
1230Dic118—22no—
1231Dic118—28no—
1232Dic118—24no—
1233Dic118—28no—
1234Dic118—24no—
1235Dic118—28no—
1236Dic118—24no—
1237Dic118—44no—
1238Dic118—44no—
1239Dic118C2×#4114yes—
1240#62805—591nomaximal, Sylow
1241C22×C59—21no—
1242C22×C59—21no—
1243C22×C59—22no—
1244C22×C59—22no—
1245C22×C59—22no—
1246C22×C59—22no—
1247C22×C59—22no—
1248C22×C59—22no—
1249C22×C59C22×#4112yes—
1250C22×C59C2611yescharacteristic
1251C2×D59—21no—
1252C2×D59—22no—
1253C2×D59—22no—
1254C2×D59—21no—
1255C2×D59—22no—
1256C2×D59—21no—
1257C2×D59—21no—
1258C2×D59—22no—
1259C2×D59—21no—
1260C2×D59—22no—
1261C2×D59—48no—
1262C2×D59—44no—
1263C2×D59C22×#4114yes—
1264C2×D59C2×2−1+412yes—
1265C4×C59—22no—
1266C4×C59—22no—
1267C4×C59—24no—
1268C4×C59—22no—
1269C4×C59—21no—
1270C4×C59—22no—
1271C4×C59—24no—
1272C4×C59—22no—
1273C4×C59—22no—
1274C4×C59—21no—
1275C4×C59—21no—
1276C4×C59C22×#4112yes—
1277C4×C59C22×#4112yes—
1278C4×C59C2×2−1+412yes—
1279Dic59—22no—
1280Dic59—24no—
1281Dic59—21no—
1282Dic59—21no—
1283Dic59—22no—
1284Dic59—22no—
1285Dic59—21no—
1286Dic59—22no—
1287Dic59—24no—
1288Dic59—21no—
1289Dic59—22no—
1290Dic59C22×#4114yes—
1291Dic59C2×2−1+412yes—
1292Dic59#58512yes—
1293#3523—592no—
1294#3520—592no—
1295#3520—594no—
1296#3518—592no—
1297#3515—592no—
1298#3515—594no—
1299#3511—592no—
1300#3511—591no—
1301#3509—592no—
1302#3509—591no—
1303#3503—591no—
1304#3499—591no—
1305#3495—591no—
1306#3495—592no—
1307#3495—592no—
1308#3495—591no—
1309#3489—591no—
1310#3489—591no—
1311#3482—592no—
1312#3482—592no—
1313#3482—594no—
1314Q8×#41—592no—
1315#3475—594no—
1316#3475—592no—
1317#3461—592no—
1318#3461—592no—
1319#3461—591no—
1320#3461D5911yescharacteristic, complemented
1321#3444—592no—
1322#3444—591no—
1323C2×#533—592no—
1324C2×#533—591no—
1325C4×2−1+4—591no—
1326C4×2−1+4—591no—
1327C2×C4×#41—591no—
1328C2×C59—22no—
1329C2×C59—42no—
1330C2×C59—42no—
1331C2×C59C23×#4111yescharacteristic
1332C2×C59C22×2−1+411yescharacteristic
1333C2×C59C2×#58511yescharacteristic
1334D59—22no—
1335D59—24no—
1336D59—42no—
1337D59—41no—
1338C2×2−1+4—591no—
1339C2×2−1+4—591no—
1340C22×#41—591no—
1341Q82—592no—
1342#557—592no—
1343#557—592no—
1344#557—594no—
1345#557—592no—
1346#557—594no—
1347#556—592no—
1348#556—594no—
1349#556—594no—
1350#556—594no—
1351#556—594no—
1352#556—592no—
1353#556—594no—
1354#556—592no—
1355#556—592no—
1356#556—592no—
1357#555—594no—
1358#555—592no—
1359#554—592no—
1360#554—592no—
1361#554—594no—
1362#554—594no—
1363#554—594no—
1364#554—592no—
1365#554—594no—
1366#554—592no—
1367#553—594no—
1368#553—594no—
1369#553—594no—
1370#552—594no—
1371#552—594no—
1372#552—594no—
1373#552—594no—
1374#552—594no—
1375#552—594no—
1376#552—592no—
1377#552—594no—
1378#552—594no—
1379#552—592no—
1380#552—594no—
1381#552—594no—
1382#552—594no—
1383#552—594no—
1384#552—594no—
1385#552—594no—
1386#552—592no—
1387#552—594no—
1388#552—592no—
1389#552—594no—
1390#551—594no—
1391#551—594no—
1392#551—594no—
1393#551—594no—
1394#551—594no—
1395#551—594no—
1396D4×Q8—592no—
1397D4×Q8—592no—
1398D4×Q8—592no—
1399D4×Q8—592no—
1400D4×Q8—592no—
1401D4×Q8—594no—
1402#548—592no—
1403#548—594no—
1404#548—594no—
1405#548—592no—
1406#548—594no—
1407#547—592no—
1408#547—594no—
1409#547—594no—
1410#547—594no—
1411#547—594no—
1412#547—592no—
1413#547—592no—
1414#547—592no—
1415#547—594no—
1416#547—592no—
1417#546—592no—
1418#546—594no—
1419#546—594no—
1420#546—592no—
1421#544—592no—
1422#544—592no—
1423#544—591no—
1424#544C2×D5911yescharacteristic, complemented
1425#542—592no—
1426#542—592no—
1427#542—594no—
1428#542—594no—
1429#542—592no—
1430#542—592no—
1431#542—592no—
1432#542—592no—
1433#542C2×D5912yescomplemented
1434#542C2×D5912yescomplemented
1435#541—592no—
1436#541—594no—
1437#541—594no—
1438#541—592no—
1439#541—592no—
1440#541—592no—
1441#541—592no—
1442#541—592no—
1443#541C2×D5912yescomplemented
1444#541C2×D5912yescomplemented
1445#539—594no—
1446#539—594no—
1447#539—594no—
1448#539—594no—
1449#539—594no—
1450#539C2×D5914yescomplemented
1451#537—591no—
1452#537—592no—
1453#537—592no—
1454#537C2×D5911yescharacteristic
1455#536—591no—
1456#536—592no—
1457#536—592no—
1458#536—592no—
1459#536—592no—
1460#536—591no—
1461#536C2×D5911yescharacteristic
1462#536C2×D5911yescharacteristic, complemented
1463#533—592no—
1464#533—592no—
1465#533—594no—
1466#533—592no—
1467#533—592no—
1468#533—592no—
1469#533—594no—
1470#533—592no—
1471#533—591no—
1472#533—592no—
1473#533—594no—
1474#533—592no—
1475#533—592no—
1476#533—592no—
1477#533—592no—
1478#533—592no—
1479#533—592no—
1480#533—592no—
1481#533—591no—
1482#533—594no—
1483#533—592no—
1484#533—594no—
1485#533—591no—
1486#533—594no—
1487#533—592no—
1488#533C2×D5912yescomplemented
1489#533C2×D5912yescomplemented
1490#532—591no—
1491#532—592no—
1492#532—592no—
1493#532—591no—
1494#532—591no—
1495C2×C4⋊Q8—591no—
1496C2×C4⋊Q8—592no—
1497C2×C4⋊Q8—592no—
1498C2×C4⋊Q8—591no—
1499#529—594no—
1500#529—594no—
1501#529—592no—
1502#529—592no—
1503#529—594no—
1504#529—591no—
1505#529—591no—
1506#529—594no—
1507#529—592no—
1508#529—592no—
1509#529—594no—
1510#529—594no—
1511#529—591no—
1512#529—591no—
1513#529—594no—
1514#529—592no—
1515#529—592no—
1516#529—594no—
1517#529—592no—
1518#529—594no—
1519#529—594no—
1520#529—594no—
1521#529—592no—
1522#529C2×D5912yescomplemented
1523#529C2×D5914yescomplemented
1524#529C2×D5912yescomplemented
1525C2×#125—594no—
1526C2×#125—592no—
1527#525—591no—
1528#525—594no—
1529#525—592no—
1530#525—592no—
1531#525—594no—
1532#525—592no—
1533#525—592no—
1534#525—591no—
1535C2×C22⋊Q8—591no—
1536C2×C22⋊Q8—592no—
1537C2×C22⋊Q8—592no—
1538C2×C22⋊Q8—594no—
1539C2×C22⋊Q8—592no—
1540C2×C22⋊Q8—591no—
1541#520—591no—
1542#520—592no—
1543#520—592no—
1544#520—592no—
1545#520—594no—
1546#520—591no—
1547#520—592no—
1548#520—591no—
1549#520—591no—
1550#520—594no—
1551#519—591no—
1552#519—592no—
1553#519—592no—
1554#519—592no—
1555#519—591no—
1556#519—592no—
1557C4×#41—591no—
1558C4×#41—591no—
1559C4×#41—591no—
1560C4×#41—592no—
1561C4×#41—592no—
1562C4×#41—592no—
1563C4×#41—591no—
1564C4×#41—592no—
1565C4×#41—591no—
1566C4×#41—592no—
1567C4×#41—594no—
1568C4×#41—594no—
1569C4×#41—591no—
1570C4×#41—592no—
1571C4×#41—594no—
1572C4×#41—591no—
1573C4×#41—592no—
1574C4×#41—591no—
1575C4×#41—592no—
1576C4×#41—594no—
1577C4×#41—592no—
1578C4×#41—592no—
1579C4×#41C2×D5911yescharacteristic
1580C4×#41C2×D5911yescharacteristic, complemented
1581C2×C4×Q8—591no—
1582C2×C4×Q8—591no—
1583C2×C4×Q8—592no—
1584C2×C4×Q8—592no—
1585C2×C4×Q8—592no—
1586C2×C4×Q8—594no—
1587C2×C4×Q8—591no—
1588C2×C4×Q8—592no—
1589C2×C4×Q8—592no—
1590C2×C4×Q8C2×D5911yescharacteristic, complemented
1591C2×C4×D4—592no—
1592C2×C4×D4—591no—
1593C2×C4×D4—591no—
1594C2×C4×D4—592no—
1595C2×#117—591no—
1596C2×#117—592no—
1597C2×#117—594no—
1598C2×#117—592no—
1599C22×C42—591no—
1600C22×C42—592no—
1601C59#6280511yescharacteristic, complemented, Sylow
16022−1+4—1188no—
16032−1+4—1188no—
1604C2×#41—591no—
1605C2×#41—592no—
1606C2×#41—592no—
1607C2×#41—592no—
1608C2×#41—591no—
1609C2×#41—592no—
1610C2×#41—594no—
1611C2×#41—594no—
1612C2×#41—591no—
1613C2×#41—592no—
1614C2×#41—592no—
1615C2×#41—591no—
1616C2×#41—592no—
1617C2×#41—594no—
1618C2×#41—592no—
1619C2×#41—1188no—
1620C2×#41C22×D5911yescharacteristic
1621C2×#41C22×D5911yescharacteristic
1622C22×Q8—591no—
1623C22×Q8—592no—
1624C22×Q8—592no—
1625C22×Q8—592no—
1626C22×Q8—594no—
1627C22×Q8—591no—
1628C22×Q8—592no—
1629C22×Q8—592no—
1630C22×Q8C22×D5911yescharacteristic
1631C22×D4—592no—
1632C22×D4—591no—
1633C23×C4—591no—
1634C23×C4—592no—
1635C23×C4—592no—
1636C23×C4—591no—
1637C23×C4—591no—
1638C23×C4—592no—
1639C4⋊Q8—591no—
1640C4⋊Q8—592no—
1641C4⋊Q8—592no—
1642C4⋊Q8—592no—
1643C4⋊Q8—592no—
1644C4⋊Q8—594no—
1645C4⋊Q8—592no—
1646C4⋊Q8—594no—
1647C4⋊Q8—591no—
1648C4⋊Q8—592no—
1649C4⋊Q8—592no—
1650C4⋊Q8—594no—
1651C4⋊Q8—594no—
1652C4⋊Q8—594no—
1653C4⋊Q8—592no—
1654C4⋊Q8—592no—
1655C4⋊Q8—591no—
1656C4⋊Q8—594no—
1657C4⋊Q8—594no—
1658C4⋊Q8—594no—
1659C4⋊Q8—592no—
1660C4⋊Q8—592no—
1661C4⋊Q8—592no—
1662C4⋊Q8C22×D5912yes—
1663C4⋊Q8C22×D5912yes—
1664C4⋊Q8C22×D5912yes—
1665C4⋊Q8C22×D5912yes—
1666#127—591no—
1667#126—592no—
1668#126—592no—
1669#126—594no—
1670#126—594no—
1671#126—594no—
1672#126—594no—
1673#126—594no—
1674#126—594no—
1675#126—594no—
1676#126—594no—
1677#126—592no—
1678#126—594no—
1679#126—592no—
1680#126—594no—
1681#126—594no—
1682#126—594no—
1683#126—594no—
1684#126—594no—
1685#126—594no—
1686#126—594no—
1687#126—594no—
1688#126—594no—
1689#126C22×D5914yes—
1690#126C22×D5914yes—
1691#126C22×D5914yes—
1692#126C22×D5914yes—
1693#125—592no—
1694#125—594no—
1695#125—594no—
1696#125—594no—
1697#125—594no—
1698#125—594no—
1699#125—594no—
1700#125—594no—
1701#125—594no—
1702#125—591no—
1703#125—591no—
1704#125—594no—
1705#125—592no—
1706#125—594no—
1707#125—594no—
1708#125—594no—
1709#125—594no—
1710#125—594no—
1711#125—594no—
1712#125—594no—
1713#125—592no—
1714#125—594no—
1715#125—594no—
1716#125—594no—
1717#125—594no—
1718#125—594no—
1719#125—594no—
1720#125—592no—
1721#125C22×D5914yes—
1722#125C22×D5912yes—
1723#125C22×D5914yes—
1724#125C22×D5912yes—
1725#125C22×D5914yes—
1726#124—591no—
1727#124—594no—
1728#124—591no—
1729#124—592no—
1730#124—594no—
1731#124—592no—
1732#124—594no—
1733#124—592no—
1734#124—594no—
1735#124—594no—
1736#124—594no—
1737#124—594no—
1738#124—594no—
1739#124—592no—
1740#124C22×D5912yes—
1741#124C22×D5912yes—
1742#124C22×D5914yes—
1743#123—592no—
1744#123—594no—
1745#123—594no—
1746#123—594no—
1747#123—592no—
1748#123—594no—
1749#123—594no—
1750#123—592no—
1751#123—594no—
1752#123—594no—
1753#123—594no—
1754#123—594no—
1755#123—594no—
1756#123—592no—
1757#123—594no—
1758#123—592no—
1759#123—594no—
1760#123—592no—
1761#123—594no—
1762#123—594no—
1763#123—594no—
1764#123—594no—
1765#123—594no—
1766#123—594no—
1767#123—594no—
1768#123—594no—
1769#123C22×D5914yes—
1770#123C22×D5914yes—
1771#123C22×D5914yes—
1772#123C22×D5914yes—
1773C22⋊Q8—591no—
1774C22⋊Q8—592no—
1775C22⋊Q8—592no—
1776C22⋊Q8—592no—
1777C22⋊Q8—592no—
1778C22⋊Q8—594no—
1779C22⋊Q8—591no—
1780C22⋊Q8—594no—
1781C22⋊Q8—592no—
1782C22⋊Q8—594no—
1783C22⋊Q8—592no—
1784C22⋊Q8—592no—
1785C22⋊Q8—594no—
1786C22⋊Q8—592no—
1787C22⋊Q8—592no—
1788C22⋊Q8—594no—
1789C22⋊Q8—591no—
1790C22⋊Q8—592no—
1791C22⋊Q8—592no—
1792C22⋊Q8—594no—
1793C22⋊Q8—594no—
1794C22⋊Q8—594no—
1795C22⋊Q8—592no—
1796C22⋊Q8—594no—
1797C22⋊Q8—592no—
1798C22⋊Q8—594no—
1799C22⋊Q8—594no—
1800C22⋊Q8—591no—
1801C22⋊Q8—594no—
1802C22⋊Q8—594no—
1803C22⋊Q8—592no—
1804C22⋊Q8—594no—
1805C22⋊Q8—592no—
1806C22⋊Q8—594no—
1807C22⋊Q8—594no—
1808C22⋊Q8—594no—
1809C22⋊Q8—594no—
1810C22⋊Q8—592no—
1811C22⋊Q8—594no—
1812C22⋊Q8—594no—
1813C22⋊Q8—594no—
1814C22⋊Q8—594no—
1815C22⋊Q8—594no—
1816C22⋊Q8—594no—
1817C22⋊Q8—594no—
1818C22⋊Q8—592no—
1819C22⋊Q8—592no—
1820C22⋊Q8—594no—
1821C22⋊Q8—594no—
1822C22⋊Q8—594no—
1823C22⋊Q8—594no—
1824C22⋊Q8—594no—
1825C22⋊Q8—594no—
1826C22⋊Q8—594no—
1827C22⋊Q8C22×D5912yes—
1828C22⋊Q8C22×D5912yes—
1829C22⋊Q8C22×D5914yes—
1830C22⋊Q8C22×D5912yes—
1831C22⋊Q8C22×D5912yes—
1832C22⋊Q8C22×D5914yes—
1833C22⋊Q8C22×D5912yes—
1834C22⋊Q8C22×D5912yes—
1835C22⋊Q8C22×D5914yes—
1836#121—591no—
1837#121—591no—
1838#121—592no—
1839#121—592no—
1840#121—594no—
1841#121—594no—
1842#121—594no—
1843#121—592no—
1844#121—594no—
1845#121—592no—
1846#121—591no—
1847#121—591no—
1848#121—594no—
1849#121—592no—
1850#121—594no—
1851#121—594no—
1852#121—592no—
1853#121—594no—
1854#121—594no—
1855#121—594no—
1856#121C22×D5912yes—
1857#121C22×D5914yes—
1858#121C22×D5912yes—
1859#120—592no—
1860#120—594no—
1861#120—594no—
1862#120—592no—
1863C4×Q8—591no—
1864C4×Q8—591no—
1865C4×Q8—592no—
1866C4×Q8—592no—
1867C4×Q8—592no—
1868C4×Q8—594no—
1869C4×Q8—592no—
1870C4×Q8—592no—
1871C4×Q8—591no—
1872C4×Q8—591no—
1873C4×Q8—592no—
1874C4×Q8—592no—
1875C4×Q8—594no—
1876C4×Q8—594no—
1877C4×Q8—592no—
1878C4×Q8—592no—
1879C4×Q8—592no—
1880C4×Q8—594no—
1881C4×Q8—594no—
1882C4×Q8—594no—
1883C4×Q8—594no—
1884C4×Q8—592no—
1885C4×Q8—594no—
1886C4×Q8—594no—
1887C4×Q8—594no—
1888C4×Q8—594no—
1889C4×Q8—591no—
1890C4×Q8—594no—
1891C4×Q8—594no—
1892C4×Q8—592no—
1893C4×Q8—594no—
1894C4×Q8—591no—
1895C4×Q8—592no—
1896C4×Q8—592no—
1897C4×Q8—591no—
1898C4×Q8—592no—
1899C4×Q8—592no—
1900C4×Q8—592no—
1901C4×Q8—592no—
1902C4×Q8—592no—
1903C4×Q8—592no—
1904C4×Q8—594no—
1905C4×Q8—594no—
1906C4×Q8—594no—
1907C4×Q8—594no—
1908C4×Q8—594no—
1909C4×Q8—591no—
1910C4×Q8—592no—
1911C4×Q8—594no—
1912C4×Q8—592no—
1913C4×Q8—592no—
1914C4×Q8—592no—
1915C4×Q8C22×D5911yescharacteristic
1916C4×Q8C22×D5912yes—
1917C4×Q8C22×D5912yes—
1918C4×Q8C22×D5911yescharacteristic
1919C4×Q8C22×D5911yescharacteristic
1920C4×Q8C22×D5914yes—
1921C4×Q8C22×D5912yes—
1922C4×Q8C22×D5912yes—
1923C4×Q8C22×D5911yescharacteristic
1924C4×D4—591no—
1925C4×D4—592no—
1926C4×D4—592no—
1927C4×D4—591no—
1928C4×D4—592no—
1929C4×D4—594no—
1930C4×D4—594no—
1931C4×D4—592no—
1932C4×D4—592no—
1933C4×D4—592no—
1934C4×D4—592no—
1935C4×D4—592no—
1936C4×D4—592no—
1937C4×D4—592no—
1938C4×D4—594no—
1939C4×D4—592no—
1940C4×D4—592no—
1941C4×D4—594no—
1942C4×D4—594no—
1943C4×D4—594no—
1944C4×D4—594no—
1945C4×D4—592no—
1946C4×D4—592no—
1947C4×D4—592no—
1948C4×D4—592no—
1949C4×D4—592no—
1950C4×D4—592no—
1951C4×D4—592no—
1952C4×D4—591no—
1953C4×D4—591no—
1954C4×D4—592no—
1955C4×D4—592no—
1956C4×D4—594no—
1957C4×D4—592no—
1958C4×D4—592no—
1959C4×D4—594no—
1960C4×D4—594no—
1961C4×D4—594no—
1962C4×D4—592no—
1963C4×D4—592no—
1964C4×D4—592no—
1965C4×D4—592no—
1966C4×D4—592no—
1967C4×D4—592no—
1968C4×D4—594no—
1969C4×D4—594no—
1970C4×D4—594no—
1971C4×D4—594no—
1972C4×D4—594no—
1973C4×D4—594no—
1974C4×D4—594no—
1975C4×D4—594no—
1976C4×D4—594no—
1977C4×D4—591no—
1978C4×D4—591no—
1979C4×D4—592no—
1980C4×D4—592no—
1981C4×D4—594no—
1982C4×D4—591no—
1983C4×D4—591no—
1984C4×D4—592no—
1985C4×D4—594no—
1986C4×D4—592no—
1987C4×D4—592no—
1988C4×D4—592no—
1989C4×D4—592no—
1990C4×D4C22×D5911yescharacteristic
1991C4×D4C22×D5912yes—
1992C4×D4C22×D5912yes—
1993C4×D4C22×D5911yescharacteristic
1994C4×D4C22×D5912yes—
1995C4×D4C22×D5911yescharacteristic
1996C4×D4C22×D5914yes—
1997C4×D4C22×D5912yes—
1998C4×D4C22×D5911yescharacteristic
1999#117—591no—
2000#117—592no—
2001#117—594no—
2002#117—591no—
2003#117—594no—
2004#117—592no—
2005#117—592no—
2006#117—592no—
2007#117—591no—
2008#117—592no—
2009#117—592no—
2010#117—591no—
2011#117—594no—
2012#117—594no—
2013#117—592no—
2014#117—592no—
2015#117—594no—
2016#117—594no—
2017#117—594no—
2018#117—592no—
2019#117—594no—
2020#117—592no—
2021#117—592no—
2022#117—592no—
2023#117—594no—
2024#117—594no—
2025#117—594no—
2026#117—594no—
2027#117—594no—
2028#117—594no—
2029#117—594no—
2030#117—592no—
2031#117—594no—
2032#117—592no—
2033#117—592no—
2034#117—592no—
2035#117—594no—
2036#117—594no—
2037#117—594no—
2038#117—592no—
2039#117—594no—
2040#117—594no—
2041#117—594no—
2042#117—592no—
2043#117—594no—
2044#117—592no—
2045#117—592no—
2046#117C22×D5911yescharacteristic
2047#117C22×D5912yes—
2048#117C22×D5914yes—
2049#117C22×D5914yes—
2050#117C22×D5911yescharacteristic
2051#117C22×D5912yes—
2052C2×C4⋊C4—592no—
2053C2×C4⋊C4—592no—
2054C2×C4⋊C4—592no—
2055C2×C4⋊C4—591no—
2056C2×C4⋊C4—594no—
2057C2×C4⋊C4—592no—
2058C2×C4⋊C4—592no—
2059C2×C4⋊C4—592no—
2060C2×C4⋊C4—592no—
2061C2×C4⋊C4—592no—
2062C2×C4⋊C4—591no—
2063C2×C4⋊C4—592no—
2064C2×C4⋊C4—591no—
2065C2×C4⋊C4—594no—
2066C2×C4⋊C4—594no—
2067C2×C4⋊C4—594no—
2068C2×C4⋊C4—594no—
2069C2×C4⋊C4—592no—
2070C2×C4⋊C4—592no—
2071C2×C4⋊C4—594no—
2072C2×C4⋊C4—592no—
2073C2×C4⋊C4—594no—
2074C2×C4⋊C4—594no—
2075C2×C4⋊C4—594no—
2076C2×C4⋊C4C22×D5912yes—
2077C2×C4⋊C4C22×D5911yescharacteristic
2078C2×C22⋊C4—592no—
2079C2×C22⋊C4—592no—
2080C2×C22⋊C4—592no—
2081C2×C22⋊C4—592no—
2082C2×C22⋊C4—592no—
2083C2×C22⋊C4—594no—
2084C2×C22⋊C4—594no—
2085C2×C42—592no—
2086C2×C42—591no—
2087C2×C42—594no—
2088C2×C42—592no—
2089C2×C42—591no—
2090C2×C42—592no—
2091C2×C42—591no—
2092C2×C42—592no—
2093C2×C42—592no—
2094C2×C42—591no—
2095C2×C42—594no—
2096C2×C42—594no—
2097C2×C42—592no—
2098C2×C42—591no—
2099C2×C42—592no—
2100C2×C42—591no—
2101C2×C42—592no—
2102C2×C42—592no—
2103C2×C42—594no—
2104C2×C42—592no—
2105C2×C42—591no—
2106C2×C42—592no—
2107C2×C42—591no—
2108C2×C42—591no—
2109C2×C42—592no—
2110C2×C42—591no—
2111C2×C42—591no—
2112C2×C42C22×D5912yes—
2113C2×C42C22×D5911yescharacteristic
2114C2×C42C22×D5912yes—
2115C2×C42C22×D5912yes—
2116C24—592no—
2117C24—591no—
2118#41—24no—
2119#41—24no—
2120#41—598no—
2121#41—1188no—
2122#41—1188no—
2123#41—11816no—
2124#41—1188no—
2125#41—1188no—
2126#41—1188no—
2127#41—1188no—
2128#41—11816no—
2129#41—1184no—
2130#41—1184no—
2131#41—1188no—
2132#41—1184no—
2133#41—2364no—
2134#41—2368no—
2135C2×Q8—24no—
2136C2×Q8—591no—
2137C2×Q8—592no—
2138C2×Q8—594no—
2139C2×Q8—594no—
2140C2×Q8—594no—
2141C2×Q8—592no—
2142C2×Q8—591no—
2143C2×Q8—592no—
2144C2×Q8—592no—
2145C2×Q8—592no—
2146C2×Q8—594no—
2147C2×Q8—594no—
2148C2×Q8—1188no—
2149C2×Q8—1188no—
2150C2×Q8—1188no—
2151C2×Q8—1184no—
2152C2×Q8—1188no—
2153C2×Q8—1184no—
2154C2×Q8—2364no—
2155C2×Q8—2368no—
2156C2×Q8C23×D5911yescharacteristic
2157C2×Q8C23×D5912yes—
2158C2×Q8C23×D5912yes—
2159C2×Q8C23×D5911yescharacteristic
2160C2×Q8C23×D5914yes—
2161C2×D4—592no—
2162C2×D4—592no—
2163C2×D4—592no—
2164C2×D4—594no—
2165C2×D4—592no—
2166C2×D4—592no—
2167C2×D4—592no—
2168C2×D4—592no—
2169C2×D4—592no—
2170C2×D4—594no—
2171C2×D4—591no—
2172C2×D4—592no—
2173C2×D4—594no—
2174C2×D4—592no—
2175C2×D4—591no—
2176C2×D4—592no—
2177C2×D4—1188no—
2178C2×D4—1184no—
2179C2×D4C23×D5912yes—
2180C2×D4C23×D5912yes—
2181C2×D4C23×D5911yescharacteristic
2182C2×D4C23×D5911yescharacteristic
2183C2×D4C23×D5914yes—
2184C22×C4—592no—
2185C22×C4—591no—
2186C22×C4—591no—
2187C22×C4—591no—
2188C22×C4—591no—
2189C22×C4—592no—
2190C22×C4—592no—
2191C22×C4—592no—
2192C22×C4—592no—
2193C22×C4—594no—
2194C22×C4—592no—
2195C22×C4—594no—
2196C22×C4—591no—
2197C22×C4—591no—
2198C22×C4—592no—
2199C22×C4—591no—
2200C22×C4—592no—
2201C22×C4—592no—
2202C22×C4—592no—
2203C22×C4—592no—
2204C22×C4—591no—
2205C22×C4—591no—
2206C22×C4—591no—
2207C22×C4—591no—
2208C22×C4—591no—
2209C22×C4—594no—
2210C22×C4—594no—
2211C22×C4—594no—
2212C22×C4—592no—
2213C22×C4—592no—
2214C22×C4—592no—
2215C22×C4—591no—
2216C22×C4—592no—
2217C22×C4—591no—
2218C22×C4—592no—
2219C22×C4—591no—
2220C22×C4—594no—
2221C22×C4—594no—
2222C22×C4—594no—
2223C22×C4—592no—
2224C22×C4—1188no—
2225C22×C4—1184no—
2226C22×C4—1188no—
2227C22×C4—1184no—
2228C22×C4—2364no—
2229C22×C4—2362no—
2230C22×C4C23×D5912yes—
2231C22×C4C23×D5912yes—
2232C22×C4C23×D5912yes—
2233C22×C4C23×D5911yescharacteristic
2234C22×C4C23×D5912yes—
2235C22×C4C23×D5912yes—
2236C22×C4C23×D5911yescharacteristic
2237C22×C4C23×D5912yes—
2238C22×C4C23×D5912yes—
2239C22×C4C23×D5912yes—
2240C22×C4C23×D5911yescharacteristic
2241C4⋊C4—592no—
2242C4⋊C4—591no—
2243C4⋊C4—594no—
2244C4⋊C4—592no—
2245C4⋊C4—594no—
2246C4⋊C4—592no—
2247C4⋊C4—594no—
2248C4⋊C4—592no—
2249C4⋊C4—594no—
2250C4⋊C4—594no—
2251C4⋊C4—592no—
2252C4⋊C4—592no—
2253C4⋊C4—591no—
2254C4⋊C4—594no—
2255C4⋊C4—592no—
2256C4⋊C4—594no—
2257C4⋊C4—594no—
2258C4⋊C4—594no—
2259C4⋊C4—594no—
2260C4⋊C4—592no—
2261C4⋊C4—594no—
2262C4⋊C4—594no—
2263C4⋊C4—594no—
2264C4⋊C4—592no—
2265C4⋊C4—592no—
2266C4⋊C4—591no—
2267C4⋊C4—592no—
2268C4⋊C4—592no—
2269C4⋊C4—592no—
2270C4⋊C4—592no—
2271C4⋊C4—592no—
2272C4⋊C4—592no—
2273C4⋊C4—594no—
2274C4⋊C4—594no—
2275C4⋊C4—594no—
2276C4⋊C4—594no—
2277C4⋊C4—594no—
2278C4⋊C4—594no—
2279C4⋊C4—594no—
2280C4⋊C4—594no—
2281C4⋊C4—594no—
2282C4⋊C4—594no—
2283C4⋊C4—592no—
2284C4⋊C4—591no—
2285C4⋊C4—594no—
2286C4⋊C4—592no—
2287C4⋊C4—594no—
2288C4⋊C4—594no—
2289C4⋊C4—592no—
2290C4⋊C4—592no—
2291C4⋊C4—592no—
2292C4⋊C4—594no—
2293C4⋊C4—592no—
2294C4⋊C4—594no—
2295C4⋊C4—592no—
2296C4⋊C4—592no—
2297C4⋊C4C23×D5911yescharacteristic
2298C4⋊C4C23×D5912yes—
2299C4⋊C4C23×D5912yes—
2300C4⋊C4C23×D5912yes—
2301C4⋊C4C23×D5914yes—
2302C4⋊C4C23×D5914yes—
2303C4⋊C4C23×D5912yes—
2304C4⋊C4C23×D5911yescharacteristic
2305C4⋊C4C23×D5911yescharacteristic
2306C4⋊C4C23×D5912yes—
2307C4⋊C4C23×D5914yes—
2308C4⋊C4C23×D5914yes—
2309C4⋊C4C23×D5914yes—
2310C4⋊C4C23×D5914yes—
2311C4⋊C4C23×D5914yes—
2312C4⋊C4C23×D5911yescharacteristic
2313C4⋊C4C23×D5912yes—
2314C4⋊C4C23×D5914yes—
2315C4⋊C4C23×D5914yes—
2316C4⋊C4C23×D5914yes—
2317C22⋊C4—592no—
2318C22⋊C4—592no—
2319C22⋊C4—592no—
2320C22⋊C4—594no—
2321C22⋊C4—594no—
2322C22⋊C4—592no—
2323C22⋊C4—592no—
2324C22⋊C4—594no—
2325C22⋊C4—594no—
2326C22⋊C4—592no—
2327C22⋊C4—592no—
2328C22⋊C4—592no—
2329C22⋊C4—594no—
2330C22⋊C4—592no—
2331C22⋊C4—594no—
2332C22⋊C4—592no—
2333C22⋊C4—592no—
2334C22⋊C4—592no—
2335C22⋊C4—592no—
2336C22⋊C4—592no—
2337C22⋊C4—592no—
2338C22⋊C4—592no—
2339C22⋊C4—594no—
2340C22⋊C4—594no—
2341C22⋊C4—594no—
2342C22⋊C4—594no—
2343C22⋊C4—592no—
2344C22⋊C4—592no—
2345C22⋊C4—594no—
2346C22⋊C4—592no—
2347C22⋊C4—592no—
2348C22⋊C4—592no—
2349C22⋊C4—594no—
2350C22⋊C4—592no—
2351C22⋊C4—592no—
2352C22⋊C4—594no—
2353C22⋊C4—592no—
2354C22⋊C4—594no—
2355C22⋊C4C23×D5912yes—
2356C22⋊C4C23×D5912yes—
2357C22⋊C4C23×D5912yes—
2358C22⋊C4C23×D5914yes—
2359C22⋊C4C23×D5914yes—
2360C22⋊C4C23×D5912yes—
2361C22⋊C4C23×D5912yes—
2362C22⋊C4C23×D5912yes—
2363C22⋊C4C23×D5914yes—
2364C22⋊C4C23×D5914yes—
2365C22⋊C4C23×D5914yes—
2366C22⋊C4C23×D5914yes—
2367C42—591no—
2368C42—591no—
2369C42—592no—
2370C42—591no—
2371C42—592no—
2372C42—592no—
2373C42—592no—
2374C42—591no—
2375C42—591no—
2376C42—592no—
2377C42—591no—
2378C42—592no—
2379C42—591no—
2380C42—592no—
2381C42—591no—
2382C42—592no—
2383C42—591no—
2384C42—591no—
2385C42—594no—
2386C42—594no—
2387C42—592no—
2388C42—594no—
2389C42—594no—
2390C42—594no—
2391C42—594no—
2392C42—594no—
2393C42—594no—
2394C42—594no—
2395C42—592no—
2396C42—591no—
2397C42—592no—
2398C42—591no—
2399C42—594no—
2400C42—592no—
2401C42C23×D5911yescharacteristic
2402C42C23×D5911yescharacteristic
2403C42C23×D5912yes—
2404C42C23×D5912yes—
2405C42C23×D5912yes—
2406C42C23×D5914yes—
2407C42C23×D5912yes—
2408C42C23×D5911yescharacteristic
2409C42C23×D5911yescharacteristic
2410C42C23×D5912yes—
2411C42C23×D5912yes—
2412C42C23×D5914yes—
2413C23—591no—
2414C23—592no—
2415C23—591no—
2416C23—592no—
2417C23—1184no—
2418C23—1182no—
2419C23—1184no—
2420C23—1182no—
2421C23—2361no—
2422C23—2362no—
2423C23C24×D5912yes—
2424C23C24×D5912yes—
2425C23C24×D5911yescharacteristic
2426Q8—24no—
2427Q8—24no—
2428Q8—22no—
2429Q8—22no—
2430Q8—44no—
2431Q8—594no—
2432Q8—1188no—
2433Q8—1188no—
2434Q8—1184no—
2435Q8—1188no—
2436Q8—1184no—
2437Q8—1184no—
2438Q8—1184no—
2439Q8—1182no—
2440Q8—1184no—
2441Q8—2364no—
2442Q8—2364no—
2443D4—24no—
2444D4—24no—
2445D4—22no—
2446D4—22no—
2447D4—44no—
2448D4—598no—
2449D4—594no—
2450D4—1184no—
2451D4—1184no—
2452D4—1188no—
2453D4—1184no—
2454D4—1184no—
2455D4—1184no—
2456D4—1184no—
2457D4—1184no—
2458D4—1188no—
2459D4—1184no—
2460D4—1182no—
2461D4—2362no—
2462D4—2364no—
2463D4—2362no—
2464C2×C4—24no—
2465C2×C4—24no—
2466C2×C4—24no—
2467C2×C4—22no—
2468C2×C4—24no—
2469C2×C4—24no—
2470C2×C4—41no—
2471C2×C4—42no—
2472C2×C4—42no—
2473C2×C4—42no—
2474C2×C4—591no—
2475C2×C4—592no—
2476C2×C4—591no—
2477C2×C4—598no—
2478C2×C4—594no—
2479C2×C4—592no—
2480C2×C4—591no—
2481C2×C4—592no—
2482C2×C4—592no—
2483C2×C4—591no—
2484C2×C4—591no—
2485C2×C4—594no—
2486C2×C4—592no—
2487C2×C4—594no—
2488C2×C4—592no—
2489C2×C4—591no—
2490C2×C4—1184no—
2491C2×C4—1182no—
2492C2×C4—1184no—
2493C2×C4—1182no—
2494C2×C4—1184no—
2495C2×C4—1182no—
2496C2×C4—1188no—
2497C2×C4—1182no—
2498C2×C4—1184no—
2499C2×C4—1184no—
2500C2×C4—1188no—
2501C2×C4—1188no—
2502C2×C4—1182no—
2503C2×C4—1184no—
2504C2×C4—1184no—
2505C2×C4—1182no—
2506C2×C4—1184no—
2507C2×C4—1188no—
2508C2×C4—1182no—
2509C2×C4—1184no—
2510C2×C4—1182no—
2511C2×C4—1182no—
2512C2×C4—1182no—
2513C2×C4—1182no—
2514C2×C4—1184no—
2515C2×C4—1184no—
2516C2×C4—1182no—
2517C2×C4—1184no—
2518C2×C4—2362no—
2519C2×C4—2361no—
2520C2×C4—2361no—
2521C2×C4—2362no—
2522C2×C4—2364no—
2523C2×C4—2364no—
2524C2×C4—2362no—
2525C2×C4—2364no—
2526C2×C4—2362no—
2527C2×C4—2364no—
2528C2×C4#41×D5914yes—
2529C2×C4C24×D5911yescharacteristic
2530C2×C4C24×D5911yescharacteristic
2531C2×C4C24×D5911yescharacteristic
2532C2×C4C24×D5912yes—
2533C2×C4C24×D5912yes—
2534C2×C4C24×D5912yes—
2535C2×C4C24×D5912yes—
2536C2×C4C24×D5914yes—
2537C2×C4C24×D5914yes—
2538C2×C4C24×D5912yes—
2539C2×C4C24×D5912yes—
2540C2×C4C24×D5911yescharacteristic
2541C2×C4C24×D5911yescharacteristic
2542C2×C4C24×D5911yescharacteristic
2543C22—21no—
2544C22—21no—
2545C22—22no—
2546C22—22no—
2547C22—22no—
2548C22—22no—
2549C22—22no—
2550C22—22no—
2551C22—594no—
2552C22—592no—
2553C22—1181no—
2554C22—1182no—
2555C22—1182no—
2556C22—1181no—
2557C22—1182no—
2558C22—1181no—
2559C22—1181no—
2560C22—1182no—
2561C22—1181no—
2562C22—1182no—
2563C22—2364no—
2564C22—2368no—
2565C22C2×#41×D5912yes—
2566C22C25×D5911yescharacteristic
2567C4—22no—
2568C4—22no—
2569C4—24no—
2570C4—21no—
2571C4—22no—
2572C4—22no—
2573C4—21no—
2574C4—21no—
2575C4—22no—
2576C4—24no—
2577C4—22no—
2578C4—594no—
2579C4—592no—
2580C4—592no—
2581C4—1181no—
2582C4—1181no—
2583C4—1182no—
2584C4—1184no—
2585C4—1182no—
2586C4—1181no—
2587C4—1182no—
2588C4—1182no—
2589C4—1181no—
2590C4—1182no—
2591C4—1184no—
2592C4C2×#41×D5912yes—
2593C4C2×#41×D5912yes—
2594C42−1+4×D5912yes—
2595C2—22no—
2596C2—42no—
2597C2—42no—
2598C2—1182no—
2599C2—1184no—
2600C2—2361no—
2601C2—2362no—
2602C2C22×#41×D5911yescharacteristic
2603C2C2×2−1+4×D5911yescharacteristic
2604C2#585×D5911yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3461C2
hypercenter#3461D59
hypocenterC59#62805
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #21438188C2semidirect
2. #21438143C2semidirect
3. #21438137C2semidirect
4. #21438109C2semidirect
5. #21438072C2semidirect
6. #21438066C2semidirect
7. #21438005C2semidirect
8. #21438001C2semidirect
9. #21437981C2semidirect
10. #21437978C2semidirect
11. #21437911C2semidirect
12. #21437878C2semidirect
13. #21437851C2semidirect
14. #21437846C2semidirect
15. #21437845C2semidirect
16. #21437840C2semidirect
17. #21437774C2semidirect
18. #21437771C2semidirect
19. #21437714C2semidirect
20. #21437709C2semidirect
21. #21437709C2semidirect
22. #21437674C2semidirect
23. #21437652C2semidirect
24. #21437648C2semidirect
25. #21437527C2semidirect
26. #21437523C2semidirect
27. #21437521C2semidirect
28. #21437390C2semidirect
29. #21437389C2semidirect
30. C2×#16837956C2semidirect
31. #533×D59C2semidirect
32. C4×#14273775C2semidirect
33. C4×#14273774C2semidirect
34. C4×#41×D59C2semidirect
35. C59×#3461C2semidirect
39. #16838132C22semidirect
40. #16838129C22semidirect
41. #16838129C22semidirect
42. #16838129C22semidirect
43. #16838127C22semidirect
44. #16838127C22semidirect
45. #16838126C22semidirect
46. #16838123C22semidirect
47. #16838123C22semidirect
48. #16838121C22semidirect
49. #16838121C22semidirect
50. #16838121C22semidirect
51. #16838119C22semidirect
52. #16838119C22semidirect
53. #16838119C22semidirect
54. #16838119C22semidirect
55. #16838116C22semidirect
56. #16838114C22semidirect
59. #16838110C22semidirect
61. #16838108C22semidirect
63. #16838106C22semidirect
64. #16838106C22semidirect
65. #16838103C22semidirect
66. #16838097C22semidirect
67. #16838095C22semidirect
68. #16838094C22semidirect
69. #16838094C22semidirect
71. #16838090C22semidirect
72. #16838090C22semidirect
73. #16838089C22semidirect
74. #16838089C22semidirect
75. #16838089C22semidirect
76. #16838089C22semidirect
78. #16838088C22semidirect
79. #16838088C22semidirect
80. #16838088C22semidirect
81. #16838088C22semidirect
83. #16838086C22semidirect
85. #16838084C22semidirect
86. #16838084C22semidirect
87. #16838084C22semidirect
95. #16838067C22semidirect
97. #16838065C22semidirect
98. #16838065C22semidirect
99. #16838065C22semidirect
100. #16838062C22semidirect
102. #16838060C22semidirect
104. #16838058C22semidirect
107. #16838054C22semidirect
108. #16838054C22semidirect
110. #16838052C22semidirect
112. #16838050C22semidirect
113. #16838050C22semidirect
114. #16838050C22semidirect
119. #16838032C22semidirect
120. #16838030C22semidirect
121. #16838029C22semidirect
122. #16838026C22semidirect
123. #16838025C22semidirect
124. #16838023C22semidirect
125. #16838022C22semidirect
126. #16838021C22semidirect
127. #16838020C22semidirect
128. #16838019C22semidirect
129. #16838017C22semidirect
130. #16838015C22semidirect
131. #16838014C22semidirect
132. #16838013C22semidirect
133. #16838012C22semidirect
134. #16838012C22semidirect
135. #16838011C22semidirect
136. #16838010C22semidirect
137. #16838009C22semidirect
138. #16838000C22semidirect
139. #16837998C22semidirect
140. #16837995C22semidirect
141. #16837994C22semidirect
142. #16837993C22semidirect
146. #16837978C22semidirect
147. #16837977C22semidirect
151. #16837972C22semidirect
152. #16837959C22semidirect
154. #16837958C22semidirect
163. #16837956C22semidirect
164. #16837956C22semidirect
165. #16837956C22semidirect
166. #16837956C22semidirect
167. #16837956C22semidirect
168. #16837956C22semidirect
169. #16837956C22semidirect
170. #16837955C22semidirect
171. #16837955C22semidirect
172. #16837955C22semidirect
173. #16837954C22semidirect
174. #16837954C22semidirect
175. #16837954C22semidirect
176. #16837954C22semidirect
177. #16837951C22semidirect
179. #16837949C22semidirect
180. #16837948C22semidirect
181. #16837947C22semidirect
182. C2×#14273726C22semidirect
183. C2×#14273725C22semidirect
184. C4⋊Q8×D59C22semidirect
185. C4⋊Q8×D59C22semidirect
187. #16837939C22semidirect
188. #16837939C22semidirect
190. #16837936C22semidirect
192. #16837935C22semidirect
194. #16837934C22semidirect
195. #16837934C22semidirect
196. #16837934C22semidirect
197. #16837932C22semidirect
198. #16837932C22semidirect
199. #16837932C22semidirect
200. #16837932C22semidirect
203. #16837930C22semidirect
204. #16837930C22semidirect
205. #16837930C22semidirect
206. #16837930C22semidirect
207. #16837930C22semidirect
208. #16837929C22semidirect
209. C2×#14273717C22semidirect
210. #125×D59C22semidirect
225. #16837885C22semidirect
226. #16837884C22semidirect
227. #16837884C22semidirect
229. #16837883C22semidirect
230. #16837883C22semidirect
232. #16837882C22semidirect
233. #16837881C22semidirect
234. #16837881C22semidirect
235. #16837880C22semidirect
236. #16837879C22semidirect
237. #16837879C22semidirect
238. #16837878C22semidirect
239. #16837878C22semidirect
240. #16837878C22semidirect
244. C4×#11745689C22semidirect
245. C4×#11745689C22semidirect
249. C4×#11745685C22semidirect
250. C4×#11745685C22semidirect
251. C4×#11745685C22semidirect
252. C4×#11745685C22semidirect
260. C4×#11745687C22semidirect
261. C4×#11745687C22semidirect
262. C4×#11745687C22semidirect
263. C2×C4×Dic118C22semidirect
264. C2×C4×Dic118C22semidirect
265. C2×C4×Dic118C22semidirect
268. C4×Q8×D59C22semidirect
269. C4×Q8×D59C22semidirect
270. C4×Q8×D59C22semidirect
271. C4×Q8×D59C22semidirect
282. C59×#544C22semidirect
283. C59×#542C22semidirect
284. C59×#542C22semidirect
285. C59×#541C22semidirect
286. C59×#541C22semidirect
287. C59×#539C22semidirect
290. C59×#536C22semidirect
291. C59×#533C22semidirect
292. C59×#533C22semidirect
293. C59×#529C22semidirect
294. C59×#529C22semidirect
295. C59×#529C22semidirect
297. C4×#41×C59C22semidirect
298. C2×C4×Q8×C59C22semidirect
880. #11745685#41semidirect
1227. C4×D592−1+4semidirect
1320. #3461D59semidirect
1424. #544C2×D59semidirect
1433. #542C2×D59semidirect
1434. #542C2×D59semidirect
1443. #541C2×D59semidirect
1444. #541C2×D59semidirect
1450. #539C2×D59semidirect
1462. #536C2×D59semidirect
1488. #533C2×D59semidirect
1489. #533C2×D59semidirect
1522. #529C2×D59semidirect
1523. #529C2×D59semidirect
1524. #529C2×D59semidirect
1580. C4×#41C2×D59semidirect
1590. C2×C4×Q8C2×D59semidirect
1601. C59#62805semidirect

Maximal subgroups

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

subgroupindex
#214381882
#214381432
#214381372
#214381092
#214380722
#214380662
#214380052
#214380012
#214379812
#214379782
#214379112
#214378782
#214378512
#214378462
#214378452
#214378402
#214377742
#214377712
#214377142
#214377092
#214376742
#214376522
#214376482
#214375272
#214375232
#214375212
#214373902
#214373892
C2×#168379562
#533×D592
C4×#142737752
C4×#142737742
C4×#41×D592
C59×#34612
#6280559