Finite Group Databasebeta

← #26005361

Subgroups — #26005361

Order 11008.

6626 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149276C214yesmaximal, complemented
2#19149258C214yesmaximal, complemented
3#19149236C212yesmaximal, complemented
4#19149189C212yesmaximal, complemented
5#19149066C211yesmaximal, characteristic, complemented
6#19148978C211yesmaximal, characteristic, complemented
7#19148969C211yesmaximal, characteristic, complemented
8#19148907C212yesmaximal, complemented
9#19148894C212yesmaximal, complemented
10#19148771C214yesmaximal, complemented
11#19148707C212yesmaximal, complemented
12#19148701C212yesmaximal, complemented
13#19148688C211yesmaximal, characteristic, complemented
14#19148681C211yesmaximal, characteristic, complemented
15#19148669C214yesmaximal, complemented
16#19148668C212yesmaximal, complemented
17#19148662C212yesmaximal, complemented
18#19148643C211yesmaximal, characteristic, complemented
19#19148628C211yesmaximal, characteristic, complemented
20#19148613C211yesmaximal, characteristic, complemented
21#19148602C211yesmaximal, characteristic, complemented
22#19148576C211yesmaximal, characteristic, complemented
23#19148572C212yesmaximal, complemented
24#19148559C212yesmaximal, complemented
25#19148559C211yesmaximal, characteristic, complemented
26#19148518C212yesmaximal, complemented
27#19148487C212yesmaximal, complemented
28#19148448C212yesmaximal, complemented
29#19148435C212yesmaximal, complemented
30#19148339C212yesmaximal, complemented
31#19148333C212yesmaximal, complemented
32#19147892C211yesmaximal, characteristic, complemented
33#19147892C211yesmaximal, characteristic, complemented
34#529×D43C211yesmaximal, characteristic, complemented
35C43×#3555C211yesmaximal, characteristic, complemented
36#14583653C2214yescomplemented
37#14583647C2214yescomplemented
38#14583645C2214yescomplemented
39#14583645C2214yescomplemented
40#14583645C2214yescomplemented
41#14583640C2214yescomplemented
42#14583639C2214yescomplemented
43#14583634C2211yescharacteristic, complemented
44#14583634C2212yescomplemented
45#14583634C2212yescomplemented
46#14583634C2214yescomplemented
47#14583633C2214yescomplemented
48#14583631C2214yescomplemented
49#14583627C2211yescharacteristic, complemented
50#14583626C2212yescomplemented
51#14583623C2214yescomplemented
52#14583623C2212yescomplemented
53#14583622C2212yescomplemented
54#14583622C2211yescharacteristic, complemented
55#14583621C2212yescomplemented
56#14583620C2214yescomplemented
57#14583616C2214yescomplemented
58#14583615C2214yescomplemented
59#14583615C2211yescharacteristic, complemented
60#14583615C2212yescomplemented
61#14583612C2214yescomplemented
62#14583612C2212yescomplemented
63#14583612C2212yescomplemented
64#14583610C2211yescharacteristic, complemented
65#14583610C2212yescomplemented
66#14583609C2212yescomplemented
67#14583609C2212yescomplemented
68#14583605C2214yescomplemented
69#14583602C2212yes—
70#14583602C2212yescomplemented
71#14583602C2214yescomplemented
72#14583602C2214yescomplemented
73#14583602C2214yescomplemented
74#14583602C2212yescomplemented
75#14583602C2214yescomplemented
76#14583602C2214yescomplemented
77#14583600C2214yescomplemented
78#14583600C2214yescomplemented
79#14583600C2214yescomplemented
80#14583600C2214yescomplemented
81#14583600C2214yescomplemented
82#14583599C2212yes—
83#14583597C2212yescomplemented
84#14583593C2212yescomplemented
85#14583590C2212yescomplemented
86#14583590C2212yescomplemented
87#14583590C2214yescomplemented
88#14583588C2212yescomplemented
89#14583587C2212yescomplemented
90#14583587C2214yescomplemented
91#14583585C2214yescomplemented
92#14583584C2212yescomplemented
93#14583583C2214yescomplemented
94#14583581C2214yescomplemented
95#14583581C2214yescomplemented
96#14583581C2214yescomplemented
97#14583581C2214yescomplemented
98#14583581C2214yescomplemented
99#14583579C2214yescomplemented
100#14583576C2214yescomplemented
101#14583576C2214yescomplemented
102#14583574C2214yescomplemented
103#14583574C2214yescomplemented
104#14583574C2214yescomplemented
105#14583574C2214yescomplemented
106#14583574C2214yescomplemented
107#14583574C2214yescomplemented
108#14583573C2214yescomplemented
109#14583572C2214yescomplemented
110#14583571C2211yescharacteristic, complemented
111#14583571C2212yescomplemented
112#14583571C2212yescomplemented
113#14583571C2211yescharacteristic, complemented
114#14583570C2212yescomplemented
115Q8×D172C2211yescharacteristic, complemented
116#14583564C2212yescomplemented
117#14583564C2211yescharacteristic, complemented
118#14583561C2212yescomplemented
119#14583561C2212yescomplemented
120#14583561C2212yescomplemented
121#14583561C2212yescomplemented
122#14583559C2212yescomplemented
123#14583559C2212yescomplemented
124#14583554C2211yescharacteristic, complemented
125#14583552C2214yescomplemented
126#14583552C2212yescomplemented
127#14583552C2212yescomplemented
128#14583552C2211yescharacteristic, complemented
129#14583552C2214yescomplemented
130#14583551C2212yescomplemented
131#14583551C2212yescomplemented
132#14583545C2212yescomplemented
133#14583542C2212yes—
134#14583542C2212yes—
135#14583542C2212yescomplemented
136#14583540C2214yes—
137#14583540C2214yescomplemented
138#14583540C2212yescomplemented
139#14583540C2214yescomplemented
140#14583540C2212yescomplemented
141D4×D172C2212yes—
142D4×D172C2211yescharacteristic, complemented
143#14583529C2212yescomplemented
144#14583523C2212yescomplemented
145#14583523C2212yescomplemented
146#14583523C2214yescomplemented
147#14583523C2212yescomplemented
148#14583523C2214yescomplemented
149#14583523C2214yescomplemented
150#14583522C2212yescomplemented
151#14583522C2214yescomplemented
152#14583521C2214yescomplemented
153#14583520C2212yescomplemented
154#14583520C2212yescomplemented
155#14583518C2212yescomplemented
156#14583515C2214yescomplemented
157#14583510C2214yescomplemented
158#14583510C2212yescomplemented
159#14583509C2212yescomplemented
160#14583508C2214yescomplemented
161#14583505C2212yescomplemented
162#14583505C2212yescomplemented
163#14583505C2214yescomplemented
164#14583505C2212yescomplemented
165#14583505C2214yescomplemented
166#14583504C2212yescomplemented
167#14583501C2214yescomplemented
168#14583497C2214yescomplemented
169#14583497C2214yescomplemented
170#14583497C2214yescomplemented
171#14583495C2214yescomplemented
172#14583495C2214yescomplemented
173#14583490C2214yescomplemented
174#14583490C2214yescomplemented
175#14583489C2214yescomplemented
176#14583488C2214yescomplemented
177#14583488C2214yescomplemented
178#14583488C2214yescomplemented
179#14583488C2214yescomplemented
180#14583488C2214yescomplemented
181#14583488C2214yescomplemented
182#14583488C2214yescomplemented
183#14583483C2214yescomplemented
184#14583479C2212yescomplemented
185#14583479C2212yescomplemented
186#14583474C2212yescomplemented
187#14583472C2212yescomplemented
188#14583468C2212yescomplemented
189#14583467C2214yescomplemented
190#14583465C2212yes—
191#14583460C2214yescomplemented
192#14583454C2212yescomplemented
193#14583454C2211yescharacteristic, complemented
194#14583454C2211yescharacteristic, complemented
195#14583454C2211yescharacteristic, complemented
196#14583454C2211yescharacteristic, complemented
197#14583453C2212yescomplemented
198#14583450C2211yescharacteristic
199#14583450C2211yescharacteristic
200#14583450C2211yescharacteristic, complemented
201#14583450C2212yescomplemented
202#14583450C2212yescomplemented
203#14583450C2211yescharacteristic, complemented
204#14583449C2211yescharacteristic, complemented
205#14583449C2211yescharacteristic, complemented
206#14583436C2211yescharacteristic
207#14583436C2212yescomplemented
208#14583436C2212yescomplemented
209#14583436C2212yescomplemented
210#14583436C2212yescomplemented
211#14583436C2212yescomplemented
212#14583436C2211yescharacteristic, complemented
213#14583436C2211yescharacteristic, complemented
214#14583436C2212yescomplemented
215#14583436C2212yescomplemented
216#14583436C2214yescomplemented
217#14583435C2211yescharacteristic, complemented
218#14583435C2211yescharacteristic, complemented
219#14583435C2211yescharacteristic, complemented
220#14583435C2212yescomplemented
221#14583435C2212yescomplemented
222#14583435C2212yescomplemented
223#14583434C2212yes—
224#14583434C2212yescomplemented
225#14583434C2211yescharacteristic, complemented
226#14583434C2212yescomplemented
227#14583434C2212yescomplemented
228#14583434C2212yescomplemented
229#14583434C2214yescomplemented
230#14583433C2211yescharacteristic, complemented
231#14583432C2212yescomplemented
232#14583431C2211yescharacteristic
233#14583431C2212yescomplemented
234#14583430C2211yescharacteristic
235#14583429C2212yescomplemented
236#14583428C2211yescharacteristic
237#14583427C2212yescomplemented
238#14583427C2214yescomplemented
239#14583426C2212yescomplemented
240#126×D43C2212yescomplemented
241#126×D43C2214yescomplemented
242#125×D43C2211yescharacteristic, complemented
243#125×D43C2212yescomplemented
244#124×D43C2211yescharacteristic
245#124×D43C2212yescomplemented
246#14583412C2212yes—
247#14583412C2211yescharacteristic
248#14583412C2212yescomplemented
249#14583412C2211yescharacteristic, complemented
250#14583412C2212yescomplemented
251#14583412C2212yescomplemented
252#14583411C2212yescomplemented
253#14583411C2212yescomplemented
254#14583411C2212yescomplemented
255#123×D43C2212yescomplemented
256C22⋊Q8×D43C2212yescomplemented
257C22⋊Q8×D43C2211yescharacteristic, complemented
258C2×#13063300C2212yes—
259#121×D43C2211yescharacteristic
260#14583381C2214yescomplemented
261#14583381C2212yescomplemented
262#14583381C2212yescomplemented
263#14583381C2212yescomplemented
264#14583380C2212yescomplemented
265#14583375C2212yescomplemented
266#14583375C2212yescomplemented
267#14583373C2212yescomplemented
268#14583373C2214yescomplemented
269#14583371C2212yescomplemented
270C4×#10621902C2212yescomplemented
271C4×#10621902C2211yescharacteristic, complemented
272C4×#10621902C2211yescharacteristic, complemented
273C4×#10621902C2212yescomplemented
274C4×#10621902C2212yescomplemented
275#14583367C2212yescomplemented
276#14583367C2212yescomplemented
277C4×Q8×D43C2211yescharacteristic, complemented
278C4×D4×D43C2211yescharacteristic
279C4×D4×D43C2212yescomplemented
280#117×D43C2212yescomplemented
281C2×C42×D43C2211yescharacteristic, complemented
282C43×#563C2214yescomplemented
283Q82×C43C2211yescharacteristic, complemented
284C43×#557C2212yescomplemented
285C43×#557C2211yescharacteristic, complemented
286C43×#556C2211yescharacteristic, complemented
287C43×#556C2212yescomplemented
288C43×#556C2212yescomplemented
289C43×#554C2211yescharacteristic, complemented
290C43×#552C2212yescomplemented
291C43×#544C2212yescomplemented
292C43×#542C2212yes—
293C43×#541C2212yescomplemented
294C43×#541C2212yescomplemented
295C43×#541C2214yescomplemented
296C43×#533C2211yescharacteristic, complemented
297C43×#533C2211yescharacteristic, complemented
298C43×#529C2211yescharacteristic
299C2×#10621902C2314yes—
300C2×#10621902C2312yes—
301C2×#10621902C2312yes—
302C2×#10621902C2312yes—
303C2×#10621902C2312yes—
304C2×#10621902C2312yes—
305C2×#10621902C2311yescharacteristic
306C2×#10621902C2311yescharacteristic
307C2×#10621902C2312yes—
308C2×#10621898C2312yes—
309C2×#10621898C2312yes—
310C2×#10621898C2312yes—
311C2×Q8×D43C2312yes—
312C2×Q8×D43C2311yescharacteristic
313C2×Q8×D43C2312yes—
314C22×D172C2314yes—
315C22×D172C2312yes—
316C2×D4×D43C2311yescharacteristic
317C2×D4×D43C2312yes—
318C2×D4×D43C2312yes—
319C22×C4×D43C2311yescharacteristic
320C22×C4×D43C2311yescharacteristic
321C22×C4×D43C2311yescharacteristic
322C22×C4×D43C2312yes—
323#13063325C2311yescharacteristic
324#13063325C2312yes—
325#13063325C2311yescharacteristic
326#13063324C2312yes—
327#13063324C2314yes—
328#13063324C2314yes—
329#13063323C2312yes—
330#13063322C2312yes—
331#13063322C2314yes—
332#13063322C2311yescharacteristic
333#13063322C2312yes—
334#13063322C2311yescharacteristic
335#13063321C2314yes—
336#13063320C2314yes—
337#13063320C2314yes—
338#13063320C2314yes—
339#13063320C2314yes—
340#13063320C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063320C2312yes—
344#13063320C2314yes—
345#13063320C2314yes—
346#13063320C2314yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2314yes—
350#13063320C2314yes—
351#13063320C2312yes—
352#13063320C2312yes—
353#13063320C2312yes—
354#13063320C2312yes—
355#13063320C2312yes—
356#13063320C2314yes—
357#13063320C2312yes—
358#13063319C2314yes—
359#13063319C2314yes—
360#13063319C2312yes—
361#13063318C2314yes—
362#13063318C2312yes—
363#13063318C2312yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2312yes—
367#13063317C2314yes—
368#13063317C2311yescharacteristic
369#13063317C2312yes—
370#13063316C2314yes—
371#13063316C2312yes—
372#13063316C2312yes—
373#13063316C2311yescharacteristic
374#13063316C2311yescharacteristic
375#13063316C2311yescharacteristic
376#13063316C2311yescharacteristic
377#13063316C2312yes—
378#13063316C2312yes—
379#13063315C2312yes—
380#13063315C2314yes—
381#13063315C2314yes—
382#13063315C2314yes—
383#13063315C2314yes—
384#13063315C2314yes—
385#13063315C2314yes—
386#13063315C2314yes—
387#13063315C2312yes—
388#13063314C2311yescharacteristic
389#13063314C2312yes—
390#13063314C2312yes—
391#13063314C2314yes—
392#13063314C2314yes—
393#13063314C2314yes—
394#13063314C2314yes—
395#13063314C2314yes—
396#13063314C2311yescharacteristic
397#13063314C2311yescharacteristic
398#13063314C2312yes—
399#13063314C2312yes—
400#13063313C2311yescharacteristic
401#13063313C2312yes—
402#13063313C2314yes—
403#13063313C2314yes—
404#13063313C2314yes—
405#13063313C2314yes—
406#13063313C2312yes—
407#13063313C2312yes—
408#13063313C2312yes—
409#13063312C2311yescharacteristic
410#13063311C2314yes—
411#13063311C2314yes—
412#13063311C2312yes—
413#13063311C2314yes—
414#13063311C2314yes—
415#13063311C2314yes—
416#13063311C2314yes—
417#13063311C2312yes—
418#13063310C2312yes—
419#13063310C2314yes—
420#13063310C2314yes—
421#13063310C2314yes—
422#13063310C2314yes—
423#13063310C2314yes—
424#13063310C2314yes—
425#13063310C2314yes—
426#13063310C2314yes—
427#13063310C2314yes—
428#13063310C2314yes—
429#13063310C2314yes—
430#13063310C2312yes—
431#13063310C2314yes—
432#13063310C2314yes—
433#13063310C2314yes—
434#13063310C2314yes—
435#13063310C2314yes—
436#13063310C2314yes—
437#13063310C2312yes—
438#13063310C2314yes—
439#13063310C2314yes—
440#13063310C2314yes—
441#13063310C2314yes—
442#13063310C2314yes—
443#13063310C2314yes—
444#13063310C2312yes—
445#13063310C2314yes—
446#13063310C2312yes—
447#13063310C2312yes—
448#13063309C2314yes—
449#13063309C2314yes—
450#13063309C2312yes—
451#13063309C2312yes—
452#13063309C2312yes—
453#13063308C2314yes—
454#13063308C2312yes—
455#13063307C2314yes—
456#13063307C2314yes—
457#13063307C2314yes—
458#13063307C2314yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063307C2312yes—
463#13063307C2312yes—
464#13063306C2312yes—
465#13063305C2311yescharacteristic
466#13063305C2312yes—
467#13063305C2314yes—
468#13063305C2314yes—
469#13063305C2314yes—
470#13063305C2314yes—
471#13063305C2312yes—
472#13063305C2314yes—
473#13063305C2312yes—
474#13063305C2312yes—
475#13063305C2312yes—
476#13063305C2312yes—
477#13063304C2312yes—
478#13063304C2311yescharacteristic
479#13063303C2314yes—
480#13063303C2314yes—
481#13063303C2314yes—
482#13063303C2314yes—
483#13063303C2314yes—
484#13063303C2314yes—
485#13063303C2314yes—
486#13063303C2314yes—
487#13063303C2314yes—
488#13063303C2314yes—
489#13063303C2312yes—
490#13063302C2314yes—
491#13063302C2312yes—
492#13063301C2312yes—
493#13063301C2311yescharacteristic
494#13063301C2314yes—
495#13063301C2314yes—
496#13063301C2314yes—
497#13063301C2314yes—
498#13063301C2314yes—
499#13063301C2312yes—
500#13063301C2312yes—
501#13063301C2312yes—
502#13063301C2311yescharacteristic
503#13063301C2311yescharacteristic
504#13063301C2312yes—
505#13063301C2312yes—
506#13063300C2312yes—
507#13063300C2312yes—
508#13063300C2314yes—
509#13063300C2312yes—
510#13063300C2314yes—
511#13063300C2314yes—
512#13063300C2314yes—
513#13063300C2314yes—
514#13063300C2312yes—
515#13063300C2312yes—
516#13063300C2312yes—
517#13063300C2314yes—
518#13063300C2314yes—
519#13063300C2312yes—
520#13063300C2314yes—
521#13063300C2311yescharacteristic
522#13063300C2314yes—
523#13063300C2314yes—
524#13063300C2312yes—
525#13063300C2314yes—
526#13063300C2314yes—
527#13063300C2314yes—
528#13063300C2314yes—
529#13063300C2314yes—
530#13063300C2314yes—
531#13063300C2314yes—
532#13063300C2312yes—
533#13063300C2312yes—
534#13063300C2311yescharacteristic
535#13063300C2312yes—
536#13063300C2311yescharacteristic
537#13063300C2312yes—
538#13063300C2312yes—
539#13063299C2311yescharacteristic
540#13063299C2312yes—
541#13063299C2311yescharacteristic
542#13063299C2314yes—
543#13063299C2312yes—
544#13063299C2312yes—
545#13063299C2311yescharacteristic
546#13063299C2312yes—
547#13063298C2314yes—
548#13063298C2314yes—
549#13063298C2314yes—
550#13063298C2314yes—
551#13063298C2314yes—
552#13063298C2314yes—
553#13063298C2314yes—
554#13063298C2314yes—
555#13063298C2314yes—
556#13063298C2314yes—
557#13063298C2312yes—
558#13063297C2312yes—
559#13063296C2312yes—
560#13063296C2311yescharacteristic
561#13063295C2314yes—
562#13063295C2314yes—
563#13063295C2314yes—
564#13063295C2314yes—
565#13063295C2314yes—
566#13063295C2314yes—
567#13063295C2314yes—
568#13063295C2312yes—
569#13063295C2314yes—
570#13063295C2312yes—
571#13063293C2314yes—
572Q8×Dic43C2312yes—
573Q8×Dic43C2311yescharacteristic
574Q8×Dic43C2314yes—
575Q8×Dic43C2311yescharacteristic
576Q8×Dic43C2312yes—
577Q8×Dic43C2311yescharacteristic
578Q8×Dic43C2312yes—
579C4×Dic86C2312yes—
580C4×Dic86C2311yescharacteristic
581C4×Dic86C2312yes—
582C4×Dic86C2314yes—
583C4×Dic86C2314yes—
584C4×Dic86C2312yes—
585#13063290C2312yes—
586#13063290C2312yes—
587#13063290C2312yes—
588#13063290C2314yes—
589#13063290C2312yes—
590#13063290C2314yes—
591#13063290C2311yescharacteristic
592#13063290C2312yes—
593#13063290C2312yes—
594C4×D172C2311yescharacteristic
595C4×D172C2314yes—
596C4×D172C2312yes—
597C4×D172C2311yescharacteristic
598C4×D172C2312yes—
599C4×D172C2312yes—
600C4×D172C2314yes—
601C4×D172C2314yes—
602C4×D172C2314yes—
603C4×D172C2312yes—
604C4×D172C2312yes—
605C4×D172C2314yes—
606C4×D172C2314yes—
607C4×D172C2312yes—
608C4×D172C2314yes—
609C4×D172C2312yes—
610C4×D172C2312yes—
611C4×D172C2311yescharacteristic
612C4×D172C2312yes—
613C4×D172C2314yes—
614C4×D172C2314yes—
615C4×D172C2312yes—
616C4×D172C2314yes—
617C4×D172C2314yes—
618C4×D172C2312yes—
619C4×D172C2314yes—
620C4×D172C2312yes—
621D4×Dic43C2312yes—
622D4×Dic43C2311yescharacteristic
623#13063287C2314yes—
624#13063287C2314yes—
625#13063287C2314yes—
626#13063287C2312yes—
627#13063287C2314yes—
628#13063287C2314yes—
629#13063287C2312yes—
630#13063287C2312yes—
631#13063287C2314yes—
632#13063287C2312yes—
633#13063287C2314yes—
634#13063287C2314yes—
635#13063287C2314yes—
636#13063287C2312yes—
637#13063287C2312yes—
638#13063287C2312yes—
639#13063287C2312yes—
640#13063287C2311yescharacteristic
641#13063287C2312yes—
642#13063287C2312yes—
643#13063287C2312yes—
644#13063287C2311yescharacteristic
645#13063287C2311yescharacteristic
646#13063287C2312yes—
647#13063287C2312yes—
648#13063287C2314yes—
649#13063287C2312yes—
650#13063287C2312yes—
651C4×C22⋊D43C2312yes—
652C4×C22⋊D43C2312yes—
653C4×C22⋊D43C2314yes—
654C4×C22⋊D43C2314yes—
655C4×C22⋊D43C2312yes—
656C4×C22⋊D43C2314yes—
657(C22⋊D43)⋊C4C2312yes—
658(C22⋊D43)⋊C4C2312yes—
659(C22⋊D43)⋊C4C2312yes—
660(C22⋊D43)⋊C4C2314yes—
661(C22⋊D43)⋊C4C2314yes—
662(C22⋊D43)⋊C4C2312yes—
663(C22⋊D43)⋊C4C2312yes—
664(C22⋊D43)⋊C4C2312yes—
665(C22⋊D43)⋊C4C2312yes—
666(C22⋊D43)⋊C4C2314yes—
667#13063284C2314yes—
668#13063284C2312yes—
669#13063283C2314yes—
670#13063283C2312yes—
671#13063283C2312yes—
672#13063283C2312yes—
673#13063283C2312yes—
674#13063283C2314yes—
675#13063283C2314yes—
676#13063283C2314yes—
677#13063283C2312yes—
678#13063283C2312yes—
679#13063283C2312yes—
680#13063283C2314yes—
681#13063283C2311yescharacteristic
682#13063283C2312yes—
683#13063283C2312yes—
684#13063283C2312yes—
685#13063283C2312yes—
686#13063283C2312yes—
687#13063283C2311yescharacteristic
688#13063282C2314yes—
689#13063282C2314yes—
690#13063282C2314yes—
691#13063282C2314yes—
692#13063282C2314yes—
693#13063282C2314yes—
694#13063282C2314yes—
695#13063282C2314yes—
696#13063282C2314yes—
697#13063282C2312yes—
698#13063282C2312yes—
699#13063282C2312yes—
700#13063282C2312yes—
701#13063281C2312yes—
702#13063281C2312yes—
703C4⋊C4×D43C2312yes—
704C4⋊C4×D43C2312yes—
705C4⋊C4×D43C2311yescharacteristic
706C4⋊C4×D43C2314yes—
707C4⋊C4×D43C2314yes—
708C4⋊C4×D43C2314yes—
709C4⋊C4×D43C2312yes—
710C4⋊C4×D43C2312yes—
711C4⋊C4×D43C2312yes—
712C4⋊C4×D43C2314yes—
713C4⋊C4×D43C2314yes—
714C4⋊C4×D43C2314yes—
715C4⋊C4×D43C2311yescharacteristic
716C4⋊C4×D43C2312yes—
717C4⋊C4×D43C2312yes—
718C2×(C2×D43)⋊C4C2314yes—
719C22⋊C4×D43C2314yes—
720C22⋊C4×D43C2314yes—
721C22⋊C4×D43C2314yes—
722C22⋊C4×D43C2312yes—
723C22⋊C4×D43C2312yes—
724C22⋊C4×D43C2312yes—
725C22⋊C4×D43C2314yes—
726C22⋊C4×D43C2314yes—
727C22⋊C4×D43C2314yes—
728C22⋊C4×D43C2312yes—
729C22⋊C4×D43C2312yes—
730C2×C4×Dic43C2311yescharacteristic
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C42×D43C2311yescharacteristic
734C42×D43C2311yescharacteristic
735C42×D43C2311yescharacteristic
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2312yes—
742C42×D43C2312yes—
743C42×D43C2312yes—
744C42×D43C2314yes—
745C4⋊Q8×C43C2311yescharacteristic
746C4⋊Q8×C43C2312yes—
747C4⋊Q8×C43C2314yes—
748C4⋊Q8×C43C2312yes—
749C4⋊Q8×C43C2314yes—
750C4⋊Q8×C43C2311yescharacteristic
751C4⋊Q8×C43C2311yescharacteristic
752C4⋊Q8×C43C2311yescharacteristic
753C4⋊Q8×C43C2312yes—
754#126×C43C2314yes—
755#126×C43C2314yes—
756#126×C43C2314yes—
757#126×C43C2314yes—
758#126×C43C2312yes—
759#126×C43C2314yes—
760#126×C43C2314yes—
761#125×C43C2314yes—
762#125×C43C2314yes—
763#125×C43C2314yes—
764#125×C43C2314yes—
765#125×C43C2314yes—
766#125×C43C2311yescharacteristic
767#125×C43C2312yes—
768#125×C43C2312yes—
769#125×C43C2312yes—
770#125×C43C2312yes—
771#124×C43C2314yes—
772#124×C43C2311yescharacteristic
773#124×C43C2312yes—
774#123×C43C2314yes—
775#123×C43C2312yes—
776C22⋊Q8×C43C2311yescharacteristic
777C22⋊Q8×C43C2312yes—
778C22⋊Q8×C43C2314yes—
779C22⋊Q8×C43C2314yes—
780C22⋊Q8×C43C2314yes—
781C22⋊Q8×C43C2311yescharacteristic
782C22⋊Q8×C43C2312yes—
783C22⋊Q8×C43C2311yescharacteristic
784C22⋊Q8×C43C2312yes—
785C22⋊Q8×C43C2312yes—
786C22⋊Q8×C43C2312yes—
787#121×C43C2311yescharacteristic
788C4×Q8×C43C2312yes—
789C4×Q8×C43C2312yes—
790C4×Q8×C43C2312yes—
791C4×Q8×C43C2312yes—
792C4×Q8×C43C2311yescharacteristic
793C4×Q8×C43C2311yescharacteristic
794C4×Q8×C43C2311yescharacteristic
795C4×Q8×C43C2312yes—
796C4×Q8×C43C2312yes—
797C4×Q8×C43C2312yes—
798C4×Q8×C43C2312yes—
799C4×Q8×C43C2314yes—
800C4×D4×C43C2311yescharacteristic
801C4×D4×C43C2312yes—
802C4×D4×C43C2312yes—
803#117×C43C2314yes—
804#117×C43C2312yes—
805#117×C43C2312yes—
806#117×C43C2312yes—
807#117×C43C2312yes—
808C2×C4⋊C4×C43C2312yes—
809C2×C42×C43C2311yescharacteristic
810C23×D43C2412yes—
811C23×D43C2411yescharacteristic
812C23×D43C2414yes—
813C2×Q8×C43C2411yescharacteristic
814C2×Q8×C43C2411yescharacteristic
815C2×Q8×C43C2412yes—
816C2×Q8×C43C2411yescharacteristic
817C2×Q8×C43C2412yes—
818C2×Q8×C43C2412yes—
819C2×Q8×C43C2414yes—
820C2×D4×C43C2411yescharacteristic
821C2×D4×C43C2412yes—
822C22×C4×C43C2411yescharacteristic
823C22×C4×C43C2411yescharacteristic
824C22×C4×C43C2412yes—
825C22×C4×C43C2411yescharacteristic
826C22×C4×C43C2414yes—
827C2×C22⋊D43C2412yes—
828C2×C22⋊D43C2414yes—
829C2×C22⋊D43C2412yes—
830C2×C22⋊D43C2412yes—
831C2×C22⋊D43C2412yes—
832C2×C22⋊D43C2414yes—
833C2×C22⋊D43C2412yes—
834C2×C22⋊D43C2414yes—
835C22×Dic43C2411yescharacteristic
836C22×Dic43C2411yescharacteristic
837C22×Dic43C2411yescharacteristic
838C22×Dic43C2412yes—
839#10621902—44no—
840#10621902—44no—
841#10621902—48no—
842#10621902—44no—
843#10621902—42no—
844#10621902—42no—
845#10621902—44no—
846#10621902—44no—
847#10621902—44no—
848Q8×D43—44no—
849Q8×D43—42no—
850Q8×D43—44no—
851D4×D43—44no—
852D4×D43—42no—
853D4×D43—44no—
854#10621898—44no—
855#10621898—44no—
856#10621898—44no—
857C2×D172—48no—
858C2×D172—44no—
859C2×D172C2412yes—
860C2×D172C2411yescharacteristic
861C2×D172C2412yes—
862C2×D172C2411yescharacteristic
863C2×D172C2414yes—
864C2×D172C2412yes—
865C2×D172C2411yescharacteristic
866C2×D172C2412yes—
867C2×D172C2412yes—
868C2×D172C2414yes—
869C2×D172C2412yes—
870C2×D172C2414yes—
871C2×D172C2414yes—
872C2×D172C2412yes—
873C2×D172C2412yes—
874C2×D172C2414yes—
875C2×D172C2414yes—
876C2×D172C2412yes—
877C2×D172C2414yes—
878C2×D172C2412yes—
879C2×D172C2414yes—
880C2×D172C2414yes—
881C2×C4×D43—42no—
882C2×C4×D43—42no—
883C2×C4×D43—42no—
884C2×C4×D43—44no—
885C2×C4×D43C2411yescharacteristic
886C2×C4×D43C2411yescharacteristic
887C2×C4×D43C2411yescharacteristic
888C2×C4×D43C2411yescharacteristic
889C2×C4×D43C2411yescharacteristic
890C2×C4×D43C2411yescharacteristic
891C2×C4×D43C2412yes—
892C2×C4×D43C2412yes—
893C2×C4×D43C2412yes—
894C2×C4×D43C2412yes—
895C2×C4×D43C2411yescharacteristic
896C2×C4×D43C2411yescharacteristic
897C2×C4×D43C2411yescharacteristic
898C2×C4×D43C2411yescharacteristic
899C2×C4×D43C2411yescharacteristic
900C2×C4×D43C2411yescharacteristic
901C2×C4×D43C2412yes—
902C2×C4×D43C2412yes—
903C2×C4×D43C2412yes—
904C2×C4×D43C2414yes—
905C2×C4×D43C2414yes—
906C2×C4×D43C2414yes—
907C2×C4×D43C2412yes—
908C2×C4×D43C2412yes—
909C2×C4×D43C2412yes—
910C2×C4×D43C2414yes—
911C2×C4×D43C2414yes—
912C2×C4×D43C2414yes—
913C2×C4×D43C2414yes—
914C2×C4×D43C2414yes—
915C2×C4×D43C2414yes—
916C2×C4×D43C2414yes—
917C2×C4×D43C2414yes—
918C2×C4×D43C2412yes—
919C2×Dic86C2412yes—
920C2×Dic86C2411yescharacteristic
921C2×Dic86C2412yes—
922C2×Dic86C2414yes—
923C2×Dic86C2412yes—
924C2×Dic86C2414yes—
925C4⋊C4×C43C2411yescharacteristic
926C4⋊C4×C43C2412yes—
927C4⋊C4×C43C2414yes—
928C4⋊C4×C43C2412yes—
929C4⋊C4×C43C2412yes—
930C4⋊C4×C43C2411yescharacteristic
931C4⋊C4×C43C2412yes—
932C4⋊C4×C43C2412yes—
933C4⋊C4×C43C2414yes—
934C4⋊C4×C43C2412yes—
935C4⋊C4×C43C2412yes—
936C4⋊C4×C43C2411yescharacteristic
937C4⋊C4×C43C2412yes—
938C4⋊C4×C43C2412yes—
939C4⋊C4×C43C2411yescharacteristic
940C4⋊C4×C43C2412yes—
941C4⋊C4×C43C2412yes—
942C4⋊C4×C43C2414yes—
943C4⋊C4×C43C2414yes—
944C4⋊C4×C43C2414yes—
945C4⋊C4×C43C2414yes—
946C4⋊C4×C43C2414yes—
947C4⋊C4×C43C2412yes—
948C4⋊C4×C43C2412yes—
949C4⋊C4×C43C2414yes—
950C4⋊C4×C43C2412yes—
951C4⋊C4×C43C2412yes—
952C4⋊C4×C43C2414yes—
953C4⋊C4×C43C2414yes—
954C22⋊C4×C43C2412yes—
955C22⋊C4×C43C2412yes—
956C22⋊C4×C43C2412yes—
957C22⋊C4×C43C2412yes—
958C22⋊C4×C43C2414yes—
959C22⋊C4×C43C2414yes—
960C22⋊C4×C43C2412yes—
961C22⋊C4×C43C2414yes—
962C22⋊C4×C43C2412yes—
963C22⋊C4×C43C2414yes—
964C22⋊C4×C43C2412yes—
965C42×C43C2411yescharacteristic
966C42×C43C2411yescharacteristic
967C42×C43C2411yescharacteristic
968C42×C43C2411yescharacteristic
969C42×C43C2414yes—
970C42×C43C2412yes—
971C42×C43C2412yes—
972C42×C43C2412yes—
973C42×C43C2414yes—
974C42×C43C2414yes—
975C42×C43C2414yes—
976C22⋊Dic43C2412yes—
977C22⋊Dic43C2412yes—
978C22⋊Dic43C2412yes—
979C22⋊Dic43C2412yes—
980C22⋊Dic43C2414yes—
981C22⋊Dic43C2412yes—
982(C2×D43)⋊C4C2412yes—
983(C2×D43)⋊C4C2412yes—
984(C2×D43)⋊C4C2412yes—
985(C2×D43)⋊C4C2412yes—
986(C2×D43)⋊C4C2414yes—
987(C2×D43)⋊C4C2412yes—
988(C2×D43)⋊C4C2414yes—
989(C2×D43)⋊C4C2412yes—
990(C2×D43)⋊C4C2412yes—
991(C2×D43)⋊C4C2414yes—
992(C2×D43)⋊C4C2414yes—
993(C2×D43)⋊C4C2412yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2412yes—
997(C2×D43)⋊C4C2412yes—
998(C2×D43)⋊C4C2412yes—
999(C2×D43)⋊C4C2412yes—
1000(C2×D43)⋊C4C2414yes—
1001(C2×D43)⋊C4C2414yes—
1002(C2×D43)⋊C4C2414yes—
1003(C2×D43)⋊C4C2414yes—
1004(C2×D43)⋊C4C2412yes—
1005(C2×D43)⋊C4C2414yes—
1006(C2×D43)⋊C4C2414yes—
1007(C2×D43)⋊C4C2412yes—
1008(C2×D43)⋊C4C2412yes—
1009(C2×D43)⋊C4C2414yes—
1010(C2×D43)⋊C4C2414yes—
1011(C2×D43)⋊C4C2412yes—
1012(C2×D43)⋊C4C2412yes—
1013(C2×D43)⋊C4C2414yes—
1014(C2×D43)⋊C4C2414yes—
1015(C2×D43)⋊C4C2414yes—
1016(C2×D43)⋊C4C2414yes—
1017(C2×D43)⋊C4C2414yes—
1018(C2×D43)⋊C4C2414yes—
1019(C2×D43)⋊C4C2412yes—
1020(C2×D43)⋊C4C2414yes—
1021(C2×D43)⋊C4C2412yes—
1022(C2×D43)⋊C4C2412yes—
1023(C2×D43)⋊C4C2412yes—
1024(C2×D43)⋊C4C2414yes—
1025(C2×D43)⋊C4C2414yes—
1026(C2×D43)⋊C4C2414yes—
1027(C2×D43)⋊C4C2412yes—
1028(C2×D43)⋊C4C2412yes—
1029(C2×D43)⋊C4C2412yes—
1030C4⋊Dic43C2412yes—
1031C4⋊Dic43C2411yescharacteristic
1032C4⋊Dic43C2412yes—
1033C4⋊Dic43C2411yescharacteristic
1034C4⋊Dic43C2412yes—
1035C4⋊Dic43C2412yes—
1036C4⋊Dic43C2411yescharacteristic
1037C4⋊Dic43C2412yes—
1038C4⋊Dic43C2414yes—
1039C4⋊Dic43C2414yes—
1040C4⋊Dic43C2412yes—
1041C4⋊Dic43C2414yes—
1042C4⋊Dic43C2411yescharacteristic
1043C4⋊Dic43C2412yes—
1044C4⋊Dic43C2412yes—
1045C4⋊Dic43C2412yes—
1046C4⋊Dic43C2412yes—
1047C4⋊Dic43C2412yes—
1048C4⋊Dic43C2414yes—
1049Dic43⋊C4C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2414yes—
1055Dic43⋊C4C2414yes—
1056Dic43⋊C4C2414yes—
1057Dic43⋊C4C2414yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2412yes—
1061Dic43⋊C4C2414yes—
1062Dic43⋊C4C2412yes—
1063Dic43⋊C4C2412yes—
1064Dic43⋊C4C2414yes—
1065Dic43⋊C4C2412yes—
1066Dic43⋊C4C2412yes—
1067Dic43⋊C4C2414yes—
1068Dic43⋊C4C2412yes—
1069Dic43⋊C4C2412yes—
1070Dic43⋊C4C2414yes—
1071Dic43⋊C4C2414yes—
1072Dic43⋊C4C2414yes—
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2411yescharacteristic
1076C4×Dic43C2411yescharacteristic
1077C4×Dic43C2411yescharacteristic
1078C4×Dic43C2411yescharacteristic
1079C4×Dic43C2411yescharacteristic
1080C4×Dic43C2411yescharacteristic
1081C4×Dic43C2411yescharacteristic
1082C4×Dic43C2411yescharacteristic
1083C4×Dic43C2411yescharacteristic
1084C4×Dic43C2411yescharacteristic
1085C4×Dic43C2412yes—
1086C4×Dic43C2412yes—
1087C4×Dic43C2412yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2412yes—
1090C4×Dic43C2412yes—
1091C4×Dic43C2412yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2412yes—
1094C4×Dic43C2414yes—
1095C4×Dic43C2414yes—
1096C4×Dic43C2414yes—
1097C23×C43C2512yes—
1098C23×C43C2511yescharacteristic
1099C22×D43—22no—
1100C22×D43—24no—
1101C22×D43—41no—
1102C22×D43—41no—
1103C22×D43—42no—
1104C22×D43—42no—
1105C22×D43—44no—
1106C22×D43—44no—
1107C22×D43—44no—
1108C22×D43C2512yes—
1109C22×D43C2511yescharacteristic
1110C22×D43C2512yes—
1111C22×D43C2514yes—
1112C22×D43C2512yes—
1113C22×D43C2511yescharacteristic
1114Q8×C43—22no—
1115Q8×C43—22no—
1116Q8×C43—24no—
1117Q8×C43—22no—
1118Q8×C43—42no—
1119Q8×C43—42no—
1120Q8×C43—44no—
1121D4×C43—22no—
1122D4×C43—42no—
1123C2×C4×C43—24no—
1124C2×C4×C43—22no—
1125C2×C4×C43—22no—
1126C2×C4×C43—41no—
1127C2×C4×C43—44no—
1128C2×C4×C43C2512yes—
1129C2×C4×C43C2512yes—
1130C2×C4×C43C2511yescharacteristic
1131C2×C4×C43C2511yescharacteristic
1132C2×C4×C43C2514yes—
1133C2×C4×C43C2511yescharacteristic
1134C2×C4×C43C2511yescharacteristic
1135C2×C4×C43C2512yes—
1136C2×C4×C43C2512yes—
1137C2×C4×C43C2514yes—
1138C2×C4×C43C2512yes—
1139C2×C4×C43C2512yes—
1140C2×C4×C43C2512yes—
1141C2×C4×C43C2511yescharacteristic
1142C2×C4×C43C2511yescharacteristic
1143C22⋊D43—44no—
1144C22⋊D43—44no—
1145C22⋊D43—42no—
1146C22⋊D43—42no—
1147C22⋊D43—44no—
1148C22⋊D43—42no—
1149C22⋊D43—42no—
1150C22⋊D43—42no—
1151C2×Dic43—42no—
1152C2×Dic43—41no—
1153C2×Dic43—41no—
1154C2×Dic43—41no—
1155C2×Dic43C2511yescharacteristic
1156C2×Dic43C2511yescharacteristic
1157C2×Dic43C2511yescharacteristic
1158C2×Dic43C2511yescharacteristic
1159C2×Dic43C2511yescharacteristic
1160C2×Dic43C2512yes—
1161C2×Dic43C2511yescharacteristic
1162C2×Dic43C2514yes—
1163C2×Dic43C2512yes—
1164C2×Dic43C2512yes—
1165C2×Dic43C2512yes—
1166C2×Dic43C2512yes—
1167D172—24no—
1168D172—28no—
1169D172—24no—
1170D172—22no—
1171D172—24no—
1172D172—22no—
1173D172—22no—
1174D172—24no—
1175D172—44no—
1176D172—44no—
1177D172—44no—
1178D172—42no—
1179D172—42no—
1180D172—42no—
1181D172—44no—
1182D172—44no—
1183D172—44no—
1184D172—42no—
1185D172—42no—
1186D172—44no—
1187D172—44no—
1188D172—42no—
1189C4×D43—22no—
1190C4×D43—22no—
1191C4×D43—24no—
1192C4×D43—22no—
1193C4×D43—22no—
1194C4×D43—24no—
1195C4×D43—22no—
1196C4×D43—22no—
1197C4×D43—24no—
1198C4×D43—24no—
1199C4×D43—42no—
1200C4×D43—41no—
1201C4×D43—41no—
1202C4×D43—41no—
1203C4×D43—41no—
1204C4×D43—41no—
1205C4×D43—41no—
1206C4×D43—42no—
1207C4×D43—44no—
1208C4×D43—44no—
1209C4×D43—42no—
1210C4×D43—44no—
1211C4×D43—44no—
1212C4×D43—44no—
1213C4×D43—44no—
1214C4×D43—44no—
1215C4×D43—42no—
1216C4×D43—44no—
1217C4×D43—42no—
1218C4×D43—42no—
1219C4×D43—44no—
1220C4×D43—42no—
1221C4×D43—44no—
1222C4×D43—44no—
1223Dic86—24no—
1224Dic86—22no—
1225Dic86—42no—
1226Dic86—44no—
1227Dic86—42no—
1228Dic86—44no—
1229#62827—431nomaximal, Sylow
1230C22×C43—22no—
1231C22×C43—21no—
1232C22×C43—22no—
1233C22×C43—22no—
1234C22×C43—21no—
1235C22×C43—21no—
1236C22×C43C2611yescharacteristic
1237C2×D43—21no—
1238C2×D43—21no—
1239C2×D43—21no—
1240C2×D43—22no—
1241C2×D43—22no—
1242C2×D43—22no—
1243C2×D43—22no—
1244C2×D43—22no—
1245C2×D43—21no—
1246C2×D43—21no—
1247C2×D43—24no—
1248C2×D43—22no—
1249C2×D43—24no—
1250C2×D43—24no—
1251C2×D43—22no—
1252C2×D43—22no—
1253C2×D43—22no—
1254C2×D43—44no—
1255C2×D43—84no—
1256C2×D43—164no—
1257C2×D43#58512yes—
1258C4×C43—22no—
1259C4×C43—21no—
1260C4×C43—24no—
1261C4×C43—22no—
1262C4×C43—21no—
1263C4×C43—21no—
1264C4×C43—22no—
1265C4×C43—21no—
1266C4×C43—22no—
1267C4×C43—22no—
1268C4×C43—22no—
1269C4×C43—24no—
1270C4×C43—22no—
1271C4×C43#58512yes—
1272C4×C43#58512yes—
1273Dic43—22no—
1274Dic43—24no—
1275Dic43—22no—
1276Dic43—22no—
1277Dic43—21no—
1278Dic43—22no—
1279Dic43—21no—
1280Dic43—21no—
1281Dic43—21no—
1282Dic43—21no—
1283Dic43—22no—
1284Dic43—21no—
1285#3566—434no—
1286#3566—434no—
1287#3565—432no—
1288#3562—432no—
1289#3555D4311yescharacteristic, complemented
1290#3554—431no—
1291#3547—431no—
1292#3546—431no—
1293#3542—432no—
1294#3541—432no—
1295#3533—434no—
1296#3524—432no—
1297#3524—432no—
1298#3523—431no—
1299#3522—431no—
1300#3521—432no—
1301#3521—432no—
1302#3521—434no—
1303#3520—431no—
1304#3519—431no—
1305#3518—431no—
1306#3517—431no—
1307#3515—432no—
1308#3515—431no—
1309#3514—432no—
1310#3514—431no—
1311#3512—432no—
1312#3510—432no—
1313#3506—432no—
1314#3505—432no—
1315#3495—432no—
1316#3494—432no—
1317#3444—431no—
1318#3444—431no—
1319C2×#529—431no—
1320C2×C43—41no—
1321C2×C43—42no—
1322C2×C43C2×#58511yescharacteristic
1323C2×C43C2×#58511yescharacteristic
1324C2×C43C2×#58511yescharacteristic
1325D43—22no—
1326D43—42no—
1327D43—41no—
1328D43—42no—
1329D43—44no—
1330D43—42no—
1331#563—434no—
1332#563C2×D4314yescomplemented
1333#562—434no—
1334#562—434no—
1335#562—434no—
1336#562—434no—
1337#560—434no—
1338#560—434no—
1339#559—434no—
1340#559—434no—
1341#559—434no—
1342#559—431no—
1343#559—432no—
1344#559—432no—
1345Q82C2×D4311yescharacteristic, complemented
1346#557—432no—
1347#557—431no—
1348#557C2×D4312yescomplemented
1349#557C2×D4311yescharacteristic, complemented
1350#556—432no—
1351#556—434no—
1352#556—434no—
1353#556—434no—
1354#556—432no—
1355#556—432no—
1356#556—431no—
1357#556C2×D4312yescomplemented
1358#556C2×D4311yescharacteristic, complemented
1359#556C2×D4312yescomplemented
1360#555—434no—
1361#555—431no—
1362#555—432no—
1363#555—432no—
1364#555—432no—
1365#555—434no—
1366#554—431no—
1367#554—432no—
1368#554—434no—
1369#554—432no—
1370#554—432no—
1371#554C2×D4311yescharacteristic, complemented
1372#553—434no—
1373#553—434no—
1374#553—434no—
1375#553—434no—
1376#553—434no—
1377#553—432no—
1378#553—434no—
1379#553—434no—
1380#553—432no—
1381#553—434no—
1382#553—434no—
1383#553—432no—
1384#553—434no—
1385#553—432no—
1386#553—432no—
1387#553—432no—
1388#552—434no—
1389#552—434no—
1390#552—434no—
1391#552—434no—
1392#552—434no—
1393#552—434no—
1394#552—434no—
1395#552—432no—
1396#552—434no—
1397#552—432no—
1398#552—434no—
1399#552—432no—
1400#552—432no—
1401#552—432no—
1402#552C2×D4312yescomplemented
1403#551—434no—
1404#551—434no—
1405#551—434no—
1406#551—434no—
1407#551—434no—
1408#551—434no—
1409#551—434no—
1410#551—434no—
1411#551—434no—
1412#551—434no—
1413#551—434no—
1414#550—432no—
1415#550—431no—
1416#550—431no—
1417#550—432no—
1418#550—432no—
1419D4×Q8—432no—
1420D4×Q8—431no—
1421D4×Q8—431no—
1422#548—432no—
1423#548—432no—
1424#548—432no—
1425#548—432no—
1426#548—432no—
1427#548—432no—
1428#547—434no—
1429#547—432no—
1430#547—431no—
1431#547—432no—
1432#547—434no—
1433#547—432no—
1434#547—432no—
1435#547—431no—
1436#546—432no—
1437#546—432no—
1438#546—432no—
1439#546—434no—
1440#546—434no—
1441#546—432no—
1442#546—434no—
1443#546—432no—
1444#546—432no—
1445D42—432no—
1446D42—431no—
1447#544—432no—
1448#544C2×D4312yescomplemented
1449#542—432no—
1450#542—432no—
1451#542—432no—
1452#542—434no—
1453#542—434no—
1454#542—434no—
1455#542—434no—
1456#542—432no—
1457#542—432no—
1458#542—434no—
1459#542—434no—
1460#542—432no—
1461#542—432no—
1462#542C2×D4312yes—
1463#541—432no—
1464#541—434no—
1465#541—434no—
1466#541—432no—
1467#541C2×D4312yescomplemented
1468#541C2×D4312yescomplemented
1469#541C2×D4314yescomplemented
1470#540—432no—
1471#540—432no—
1472#540—432no—
1473#540—434no—
1474#540—434no—
1475#540—434no—
1476#540—432no—
1477#539—434no—
1478#539—434no—
1479#539—434no—
1480#539—434no—
1481#539—434no—
1482#539—434no—
1483#539—434no—
1484#538—434no—
1485#538—434no—
1486#538—434no—
1487#538—434no—
1488#538—434no—
1489#538—434no—
1490#538—434no—
1491#538—434no—
1492#538—434no—
1493#537—432no—
1494#537—432no—
1495#536—432no—
1496#536—432no—
1497#535—434no—
1498#535—432no—
1499#535—432no—
1500#534—434no—
1501#533—431no—
1502#533—431no—
1503#533—431no—
1504#533—431no—
1505#533—432no—
1506#533—432no—
1507#533C2×D4311yescharacteristic, complemented
1508#533C2×D4311yescharacteristic, complemented
1509#532—431no—
1510#532—431no—
1511#532—431no—
1512#532—431no—
1513#532—432no—
1514#532—432no—
1515#532—431no—
1516#532—431no—
1517#529—432no—
1518#529—431no—
1519#529—432no—
1520#529—432no—
1521#529—432no—
1522#529—432no—
1523#529—432no—
1524#529—434no—
1525#529—431no—
1526#529—432no—
1527#529—431no—
1528#529—432no—
1529#529—431no—
1530#529—431no—
1531#529—432no—
1532#529—432no—
1533#529—431no—
1534#529—431no—
1535#529—431no—
1536#529—432no—
1537#529—431no—
1538#529—432no—
1539#529—432no—
1540#529—432no—
1541#529—432no—
1542#529—432no—
1543#529—432no—
1544#529—434no—
1545#529—432no—
1546#529—431no—
1547#529—432no—
1548#529—432no—
1549#529—434no—
1550#529—431no—
1551#529C2×D4311yescharacteristic
1552C2×#126—432no—
1553C2×#126—434no—
1554C2×#125—431no—
1555C2×#125—432no—
1556C2×#124—431no—
1557C2×#124—432no—
1558#525—431no—
1559#525—431no—
1560#525—432no—
1561#525—432no—
1562#525—432no—
1563#525—432no—
1564#525—432no—
1565#525—432no—
1566#525—432no—
1567C2×#123—432no—
1568C2×C22⋊Q8—431no—
1569C2×C22⋊Q8—432no—
1570C2×#121—431no—
1571C2×#121—432no—
1572#520—432no—
1573#520—434no—
1574#520—432no—
1575#520—432no—
1576#520—432no—
1577#519—432no—
1578#519—432no—
1579#518—432no—
1580#518—432no—
1581#518—434no—
1582C4×#41—432no—
1583C4×#41—431no—
1584C4×#41—431no—
1585C4×#41—432no—
1586C4×#41—432no—
1587C4×#41—432no—
1588C4×#41—432no—
1589C2×C4×Q8—431no—
1590C2×C4×D4—431no—
1591C2×C4×D4—432no—
1592C2×#117—432no—
1593C22×C42—431no—
1594C43#6282711yescharacteristic, complemented, Sylow
1595C2×#41—432no—
1596C2×#41—432no—
1597C2×#41—431no—
1598C2×#41—432no—
1599C2×#41—431no—
1600C2×#41—432no—
1601C2×#41—434no—
1602C2×#41—432no—
1603C2×#41—432no—
1604C2×#41—432no—
1605C2×#41—432no—
1606C2×#41—432no—
1607C22×Q8—431no—
1608C22×Q8—432no—
1609C22×Q8—432no—
1610C22×D4—432no—
1611C22×D4—431no—
1612C22×D4—432no—
1613C22×D4—434no—
1614C22×D4—432no—
1615C23×C4—432no—
1616C23×C4—431no—
1617C23×C4—431no—
1618C23×C4—431no—
1619C4⋊Q8—432no—
1620C4⋊Q8—432no—
1621C4⋊Q8—434no—
1622C4⋊Q8—434no—
1623C4⋊Q8—431no—
1624C4⋊Q8—431no—
1625C4⋊Q8—432no—
1626C4⋊Q8C22×D4311yescharacteristic
1627C4⋊Q8C22×D4311yescharacteristic
1628C4⋊Q8C22×D4311yescharacteristic
1629C4⋊Q8C22×D4311yescharacteristic
1630C4⋊Q8C22×D4312yes—
1631C4⋊Q8C22×D4312yes—
1632C4⋊Q8C22×D4312yes—
1633C4⋊Q8C22×D4314yes—
1634C4⋊Q8C22×D4314yes—
1635#127—434no—
1636#127—431no—
1637#127—431no—
1638#127—432no—
1639#127—432no—
1640#127—434no—
1641#126—432no—
1642#126—432no—
1643#126—432no—
1644#126—432no—
1645#126—434no—
1646#126—434no—
1647#126—432no—
1648#126—432no—
1649#126—434no—
1650#126—432no—
1651#126—434no—
1652#126—434no—
1653#126—434no—
1654#126—434no—
1655#126—434no—
1656#126—434no—
1657#126—434no—
1658#126—434no—
1659#126—434no—
1660#126—434no—
1661#126—434no—
1662#126—434no—
1663#126—432no—
1664#126—432no—
1665#126—432no—
1666#126—434no—
1667#126—434no—
1668#126—434no—
1669#126—432no—
1670#126—434no—
1671#126—434no—
1672#126C22×D4312yes—
1673#126C22×D4314yes—
1674#126C22×D4314yes—
1675#126C22×D4314yes—
1676#126C22×D4314yes—
1677#126C22×D4314yes—
1678#126C22×D4314yes—
1679#125—431no—
1680#125—431no—
1681#125—432no—
1682#125—432no—
1683#125—432no—
1684#125—434no—
1685#125—434no—
1686#125—432no—
1687#125—432no—
1688#125—431no—
1689#125—431no—
1690#125—434no—
1691#125—434no—
1692#125—432no—
1693#125—434no—
1694#125—434no—
1695#125—434no—
1696#125—434no—
1697#125—431no—
1698#125—432no—
1699#125—434no—
1700#125C22×D4311yescharacteristic
1701#125C22×D4312yes—
1702#125C22×D4312yes—
1703#125C22×D4312yes—
1704#125C22×D4314yes—
1705#125C22×D4312yes—
1706#125C22×D4314yes—
1707#125C22×D4314yes—
1708#125C22×D4314yes—
1709#125C22×D4314yes—
1710#124—431no—
1711#124—432no—
1712#124—432no—
1713#124—431no—
1714#124—431no—
1715#124—432no—
1716#124—432no—
1717#124—434no—
1718#124—434no—
1719#124—434no—
1720#124—434no—
1721#124—434no—
1722#124—431no—
1723#124—432no—
1724#124—432no—
1725#124—434no—
1726#124—434no—
1727#124—434no—
1728#124—434no—
1729#124—434no—
1730#124—434no—
1731#124—431no—
1732#124—432no—
1733#124—432no—
1734#124—432no—
1735#124—432no—
1736#124—434no—
1737#124—434no—
1738#124—434no—
1739#124—434no—
1740#124C22×D4311yescharacteristic
1741#124C22×D4312yes—
1742#124C22×D4314yes—
1743#123—432no—
1744#123—432no—
1745#123—434no—
1746#123—432no—
1747#123—432no—
1748#123—432no—
1749#123—434no—
1750#123—432no—
1751#123—432no—
1752#123—432no—
1753#123—434no—
1754#123—434no—
1755#123—434no—
1756#123—434no—
1757#123—434no—
1758#123—434no—
1759#123—434no—
1760#123—434no—
1761#123—434no—
1762#123—434no—
1763#123—434no—
1764#123—434no—
1765#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—434no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123—434no—
1775#123—434no—
1776#123—432no—
1777#123—432no—
1778#123—432no—
1779#123—432no—
1780#123—432no—
1781#123—434no—
1782#123—434no—
1783#123—434no—
1784#123—434no—
1785#123—434no—
1786#123—434no—
1787#123—434no—
1788#123—434no—
1789#123—434no—
1790#123C22×D4312yes—
1791#123C22×D4314yes—
1792C22⋊Q8—431no—
1793C22⋊Q8—431no—
1794C22⋊Q8—431no—
1795C22⋊Q8—432no—
1796C22⋊Q8—432no—
1797C22⋊Q8—432no—
1798C22⋊Q8—432no—
1799C22⋊Q8—432no—
1800C22⋊Q8—432no—
1801C22⋊Q8—434no—
1802C22⋊Q8—434no—
1803C22⋊Q8—434no—
1804C22⋊Q8—434no—
1805C22⋊Q8—434no—
1806C22⋊Q8—431no—
1807C22⋊Q8—432no—
1808C22⋊Q8—432no—
1809C22⋊Q8—431no—
1810C22⋊Q8—432no—
1811C22⋊Q8—434no—
1812C22⋊Q8—432no—
1813C22⋊Q8—432no—
1814C22⋊Q8—432no—
1815C22⋊Q8—432no—
1816C22⋊Q8—432no—
1817C22⋊Q8—434no—
1818C22⋊Q8—434no—
1819C22⋊Q8—434no—
1820C22⋊Q8—434no—
1821C22⋊Q8—434no—
1822C22⋊Q8—434no—
1823C22⋊Q8—434no—
1824C22⋊Q8—434no—
1825C22⋊Q8—434no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—434no—
1831C22⋊Q8—432no—
1832C22⋊Q8—434no—
1833C22⋊Q8C22×D4311yescharacteristic
1834C22⋊Q8C22×D4312yes—
1835C22⋊Q8C22×D4312yes—
1836C22⋊Q8C22×D4311yescharacteristic
1837C22⋊Q8C22×D4311yescharacteristic
1838C22⋊Q8C22×D4312yes—
1839C22⋊Q8C22×D4312yes—
1840C22⋊Q8C22×D4312yes—
1841C22⋊Q8C22×D4314yes—
1842C22⋊Q8C22×D4314yes—
1843C22⋊Q8C22×D4314yes—
1844#121—432no—
1845#121—431no—
1846#121—432no—
1847#121—431no—
1848#121—432no—
1849#121—431no—
1850#121—431no—
1851#121—432no—
1852#121—432no—
1853#121—432no—
1854#121—434no—
1855#121—431no—
1856#121—432no—
1857#121—431no—
1858#121—434no—
1859#121—434no—
1860#121—432no—
1861#121—432no—
1862#121—431no—
1863#121—432no—
1864#121—432no—
1865#121—432no—
1866#121—432no—
1867#121—432no—
1868#121—432no—
1869#121—432no—
1870#121—432no—
1871#121—432no—
1872#121—432no—
1873#121—434no—
1874#121—434no—
1875#121—434no—
1876#121—434no—
1877#121—434no—
1878#121—434no—
1879#121—434no—
1880#121—434no—
1881#121—434no—
1882#121—434no—
1883#121—434no—
1884#121—434no—
1885#121—434no—
1886#121—434no—
1887#121—434no—
1888#121—432no—
1889#121—434no—
1890#121—434no—
1891#121—434no—
1892#121—434no—
1893#121—434no—
1894#121—434no—
1895#121—434no—
1896#121—434no—
1897#121—434no—
1898#121—434no—
1899#121C22×D4311yescharacteristic
1900#120—434no—
1901#120—432no—
1902#120—434no—
1903#120—432no—
1904#120—434no—
1905#120—434no—
1906#120—434no—
1907#120—434no—
1908#120—434no—
1909#120—434no—
1910#120—434no—
1911C4×Q8—431no—
1912C4×Q8—431no—
1913C4×Q8—432no—
1914C4×Q8—431no—
1915C4×Q8—432no—
1916C4×Q8—432no—
1917C4×Q8—434no—
1918C4×Q8—431no—
1919C4×Q8—432no—
1920C4×Q8—432no—
1921C4×Q8—432no—
1922C4×Q8—432no—
1923C4×Q8—432no—
1924C4×Q8—434no—
1925C4×Q8—434no—
1926C4×Q8—432no—
1927C4×Q8—431no—
1928C4×Q8—432no—
1929C4×Q8—432no—
1930C4×Q8—434no—
1931C4×Q8—434no—
1932C4×Q8—432no—
1933C4×Q8C22×D4311yescharacteristic
1934C4×Q8C22×D4312yes—
1935C4×Q8C22×D4312yes—
1936C4×Q8C22×D4311yescharacteristic
1937C4×Q8C22×D4311yescharacteristic
1938C4×Q8C22×D4312yes—
1939C4×Q8C22×D4312yes—
1940C4×Q8C22×D4312yes—
1941C4×Q8C22×D4312yes—
1942C4×Q8C22×D4312yes—
1943C4×Q8C22×D4314yes—
1944C4×Q8C22×D4312yes—
1945C4×D4—431no—
1946C4×D4—432no—
1947C4×D4—432no—
1948C4×D4—432no—
1949C4×D4—432no—
1950C4×D4—434no—
1951C4×D4—434no—
1952C4×D4—434no—
1953C4×D4—431no—
1954C4×D4—432no—
1955C4×D4—432no—
1956C4×D4—431no—
1957C4×D4—432no—
1958C4×D4—432no—
1959C4×D4—432no—
1960C4×D4—431no—
1961C4×D4—432no—
1962C4×D4—434no—
1963C4×D4—432no—
1964C4×D4—434no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—432no—
1968C4×D4—432no—
1969C4×D4—432no—
1970C4×D4—434no—
1971C4×D4—434no—
1972C4×D4—432no—
1973C4×D4—432no—
1974C4×D4—434no—
1975C4×D4—434no—
1976C4×D4—434no—
1977C4×D4—434no—
1978C4×D4—432no—
1979C4×D4—434no—
1980C4×D4—434no—
1981C4×D4—432no—
1982C4×D4—432no—
1983C4×D4—432no—
1984C4×D4—434no—
1985C4×D4—432no—
1986C4×D4—432no—
1987C4×D4—434no—
1988C4×D4—432no—
1989C4×D4—432no—
1990C4×D4—434no—
1991C4×D4—431no—
1992C4×D4—432no—
1993C4×D4—434no—
1994C4×D4—432no—
1995C4×D4—432no—
1996C4×D4—432no—
1997C4×D4—432no—
1998C4×D4—434no—
1999C4×D4—432no—
2000C4×D4—431no—
2001C4×D4—432no—
2002C4×D4—432no—
2003C4×D4—431no—
2004C4×D4—434no—
2005C4×D4—434no—
2006C4×D4—434no—
2007C4×D4—434no—
2008C4×D4—432no—
2009C4×D4—434no—
2010C4×D4—434no—
2011C4×D4—434no—
2012C4×D4—434no—
2013C4×D4—434no—
2014C4×D4—434no—
2015C4×D4—432no—
2016C4×D4—432no—
2017C4×D4—432no—
2018C4×D4C22×D4311yescharacteristic
2019C4×D4C22×D4312yes—
2020C4×D4C22×D4312yes—
2021#117—432no—
2022#117—434no—
2023#117—432no—
2024#117—432no—
2025#117—432no—
2026#117—432no—
2027#117—431no—
2028#117—432no—
2029#117—431no—
2030#117—432no—
2031#117—432no—
2032#117—434no—
2033#117—434no—
2034#117—432no—
2035#117—432no—
2036#117—432no—
2037#117—432no—
2038#117—434no—
2039#117—434no—
2040#117—432no—
2041#117—434no—
2042#117—432no—
2043#117—432no—
2044#117—432no—
2045#117—432no—
2046#117—432no—
2047#117—432no—
2048#117—434no—
2049#117—434no—
2050#117—434no—
2051#117—434no—
2052#117—434no—
2053#117—434no—
2054#117—434no—
2055#117—434no—
2056#117—434no—
2057#117C22×D4312yes—
2058#117C22×D4312yes—
2059#117C22×D4312yes—
2060#117C22×D4312yes—
2061#117C22×D4314yes—
2062C2×C4⋊C4—432no—
2063C2×C4⋊C4—432no—
2064C2×C4⋊C4—432no—
2065C2×C4⋊C4—431no—
2066C2×C4⋊C4—431no—
2067C2×C4⋊C4—432no—
2068C2×C4⋊C4—434no—
2069C2×C4⋊C4—432no—
2070C2×C4⋊C4—432no—
2071C2×C4⋊C4—432no—
2072C2×C4⋊C4—434no—
2073C2×C4⋊C4—434no—
2074C2×C4⋊C4—434no—
2075C2×C4⋊C4—434no—
2076C2×C4⋊C4—434no—
2077C2×C4⋊C4C22×D4312yes—
2078C2×C22⋊C4—434no—
2079C2×C22⋊C4—432no—
2080C2×C22⋊C4—432no—
2081C2×C22⋊C4—432no—
2082C2×C22⋊C4—432no—
2083C2×C22⋊C4—432no—
2084C2×C22⋊C4—434no—
2085C2×C22⋊C4—434no—
2086C2×C22⋊C4—434no—
2087C2×C22⋊C4—434no—
2088C2×C22⋊C4—434no—
2089C2×C22⋊C4—434no—
2090C2×C42—431no—
2091C2×C42—431no—
2092C2×C42—431no—
2093C2×C42—431no—
2094C2×C42—432no—
2095C2×C42—431no—
2096C2×C42—432no—
2097C2×C42—432no—
2098C2×C42—434no—
2099C2×C42—431no—
2100C2×C42—431no—
2101C2×C42—431no—
2102C2×C42—431no—
2103C2×C42—431no—
2104C2×C42—431no—
2105C2×C42C22×D4311yescharacteristic
2106C24—432no—
2107C24—431no—
2108C24—434no—
2109#41—1724no—
2110#41—1724no—
2111#41—1724no—
2112#41—1724no—
2113#41—1724no—
2114#41—1728no—
2115#41—1724no—
2116#41—1722no—
2117#41—1724no—
2118#41—1722no—
2119#41—1724no—
2120#41—1724no—
2121C2×Q8—431no—
2122C2×Q8—432no—
2123C2×Q8—434no—
2124C2×Q8—432no—
2125C2×Q8—432no—
2126C2×Q8—434no—
2127C2×Q8—1722no—
2128C2×Q8—1724no—
2129C2×Q8—1724no—
2130C2×Q8C23×D4311yescharacteristic
2131C2×Q8C23×D4312yes—
2132C2×Q8C23×D4311yescharacteristic
2133C2×Q8C23×D4311yescharacteristic
2134C2×Q8C23×D4312yes—
2135C2×Q8C23×D4312yes—
2136C2×Q8C23×D4314yes—
2137C2×D4—432no—
2138C2×D4—434no—
2139C2×D4—432no—
2140C2×D4—432no—
2141C2×D4—434no—
2142C2×D4—434no—
2143C2×D4—432no—
2144C2×D4—432no—
2145C2×D4—432no—
2146C2×D4—434no—
2147C2×D4—432no—
2148C2×D4—431no—
2149C2×D4—432no—
2150C2×D4—431no—
2151C2×D4—432no—
2152C2×D4—431no—
2153C2×D4—432no—
2154C2×D4—432no—
2155C2×D4—432no—
2156C2×D4—432no—
2157C2×D4—434no—
2158C2×D4—434no—
2159C2×D4—434no—
2160C2×D4—434no—
2161C2×D4—434no—
2162C2×D4—434no—
2163C2×D4—432no—
2164C2×D4—434no—
2165C2×D4—434no—
2166C2×D4—432no—
2167C2×D4—1724no—
2168C2×D4—1728no—
2169C2×D4—1722no—
2170C2×D4—1724no—
2171C2×D4—1724no—
2172C2×D4C23×D4311yescharacteristic
2173C2×D4C23×D4312yes—
2174C22×C4—431no—
2175C22×C4—431no—
2176C22×C4—431no—
2177C22×C4—432no—
2178C22×C4—431no—
2179C22×C4—431no—
2180C22×C4—431no—
2181C22×C4—431no—
2182C22×C4—431no—
2183C22×C4—431no—
2184C22×C4—432no—
2185C22×C4—432no—
2186C22×C4—432no—
2187C22×C4—432no—
2188C22×C4—431no—
2189C22×C4—431no—
2190C22×C4—431no—
2191C22×C4—431no—
2192C22×C4—431no—
2193C22×C4—431no—
2194C22×C4—432no—
2195C22×C4—432no—
2196C22×C4—432no—
2197C22×C4—434no—
2198C22×C4—434no—
2199C22×C4—434no—
2200C22×C4—432no—
2201C22×C4—432no—
2202C22×C4—432no—
2203C22×C4—434no—
2204C22×C4—434no—
2205C22×C4—434no—
2206C22×C4—434no—
2207C22×C4—434no—
2208C22×C4—434no—
2209C22×C4—434no—
2210C22×C4—434no—
2211C22×C4—432no—
2212C22×C4—1724no—
2213C22×C4—1722no—
2214C22×C4—1722no—
2215C22×C4—1722no—
2216C22×C4C23×D4311yescharacteristic
2217C22×C4C23×D4311yescharacteristic
2218C22×C4C23×D4312yes—
2219C22×C4C23×D4311yescharacteristic
2220C22×C4C23×D4314yes—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—431no—
2226C4⋊C4—432no—
2227C4⋊C4—432no—
2228C4⋊C4—432no—
2229C4⋊C4—431no—
2230C4⋊C4—432no—
2231C4⋊C4—434no—
2232C4⋊C4—434no—
2233C4⋊C4—434no—
2234C4⋊C4—434no—
2235C4⋊C4—432no—
2236C4⋊C4—432no—
2237C4⋊C4—431no—
2238C4⋊C4—432no—
2239C4⋊C4—434no—
2240C4⋊C4—434no—
2241C4⋊C4—434no—
2242C4⋊C4—432no—
2243C4⋊C4—432no—
2244C4⋊C4—432no—
2245C4⋊C4—432no—
2246C4⋊C4—432no—
2247C4⋊C4—434no—
2248C4⋊C4—434no—
2249C4⋊C4—432no—
2250C4⋊C4—432no—
2251C4⋊C4—431no—
2252C4⋊C4—432no—
2253C4⋊C4—434no—
2254C4⋊C4—432no—
2255C4⋊C4—432no—
2256C4⋊C4—434no—
2257C4⋊C4—432no—
2258C4⋊C4—434no—
2259C4⋊C4—432no—
2260C4⋊C4—432no—
2261C4⋊C4—432no—
2262C4⋊C4—434no—
2263C4⋊C4—434no—
2264C4⋊C4C23×D4311yescharacteristic
2265C4⋊C4C23×D4312yes—
2266C4⋊C4C23×D4314yes—
2267C4⋊C4C23×D4312yes—
2268C4⋊C4C23×D4311yescharacteristic
2269C4⋊C4C23×D4312yes—
2270C4⋊C4C23×D4312yes—
2271C4⋊C4C23×D4312yes—
2272C4⋊C4C23×D4312yes—
2273C4⋊C4C23×D4314yes—
2274C4⋊C4C23×D4314yes—
2275C4⋊C4C23×D4314yes—
2276C4⋊C4C23×D4314yes—
2277C4⋊C4C23×D4312yes—
2278C4⋊C4C23×D4311yescharacteristic
2279C4⋊C4C23×D4312yes—
2280C4⋊C4C23×D4311yescharacteristic
2281C4⋊C4C23×D4312yes—
2282C4⋊C4C23×D4312yes—
2283C4⋊C4C23×D4312yes—
2284C4⋊C4C23×D4312yes—
2285C4⋊C4C23×D4314yes—
2286C4⋊C4C23×D4314yes—
2287C4⋊C4C23×D4312yes—
2288C4⋊C4C23×D4314yes—
2289C4⋊C4C23×D4314yes—
2290C4⋊C4C23×D4314yes—
2291C4⋊C4C23×D4312yes—
2292C4⋊C4C23×D4312yes—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—432no—
2296C22⋊C4—432no—
2297C22⋊C4—434no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—432no—
2301C22⋊C4—432no—
2302C22⋊C4—432no—
2303C22⋊C4—432no—
2304C22⋊C4—434no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—434no—
2308C22⋊C4—432no—
2309C22⋊C4—434no—
2310C22⋊C4—434no—
2311C22⋊C4—434no—
2312C22⋊C4—432no—
2313C22⋊C4—432no—
2314C22⋊C4—432no—
2315C22⋊C4—432no—
2316C22⋊C4—434no—
2317C22⋊C4—434no—
2318C22⋊C4—434no—
2319C22⋊C4—432no—
2320C22⋊C4—432no—
2321C22⋊C4—432no—
2322C22⋊C4—434no—
2323C22⋊C4—434no—
2324C22⋊C4—432no—
2325C22⋊C4—432no—
2326C22⋊C4—432no—
2327C22⋊C4—434no—
2328C22⋊C4—434no—
2329C22⋊C4—432no—
2330C22⋊C4—432no—
2331C22⋊C4—432no—
2332C22⋊C4—432no—
2333C22⋊C4—434no—
2334C22⋊C4—434no—
2335C22⋊C4—432no—
2336C22⋊C4—434no—
2337C22⋊C4—434no—
2338C22⋊C4—434no—
2339C22⋊C4—434no—
2340C22⋊C4—432no—
2341C22⋊C4—434no—
2342C22⋊C4—434no—
2343C22⋊C4—432no—
2344C22⋊C4—432no—
2345C22⋊C4—434no—
2346C22⋊C4—434no—
2347C22⋊C4C23×D4312yes—
2348C22⋊C4C23×D4314yes—
2349C22⋊C4C23×D4314yes—
2350C22⋊C4C23×D4312yes—
2351C22⋊C4C23×D4312yes—
2352C22⋊C4C23×D4314yes—
2353C22⋊C4C23×D4312yes—
2354C22⋊C4C23×D4312yes—
2355C22⋊C4C23×D4312yes—
2356C22⋊C4C23×D4314yes—
2357C22⋊C4C23×D4312yes—
2358C42—431no—
2359C42—431no—
2360C42—431no—
2361C42—431no—
2362C42—431no—
2363C42—431no—
2364C42—431no—
2365C42—431no—
2366C42—431no—
2367C42—431no—
2368C42—431no—
2369C42—431no—
2370C42—432no—
2371C42—432no—
2372C42—432no—
2373C42—434no—
2374C42—434no—
2375C42—432no—
2376C42—432no—
2377C42—432no—
2378C42—432no—
2379C42—434no—
2380C42—434no—
2381C42—434no—
2382C42C23×D4311yescharacteristic
2383C42C23×D4311yescharacteristic
2384C42C23×D4311yescharacteristic
2385C42C23×D4311yescharacteristic
2386C42C23×D4314yes—
2387C42C23×D4312yes—
2388C42C23×D4312yes—
2389C42C23×D4312yes—
2390C42C23×D4314yes—
2391C42C23×D4314yes—
2392C42C23×D4314yes—
2393C23—431no—
2394C23—432no—
2395C23—434no—
2396C23—431no—
2397C23—432no—
2398C23—432no—
2399C23—864no—
2400C23—862no—
2401C23—1722no—
2402C23—1722no—
2403C23—1721no—
2404C23—1721no—
2405C23—1724no—
2406C23—1724no—
2407C23—1724no—
2408C23C24×D4312yes—
2409C23C24×D4311yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—24no—
2413Q8—22no—
2414Q8—42no—
2415Q8—42no—
2416Q8—44no—
2417Q8—862no—
2418Q8—864no—
2419Q8—1722no—
2420Q8—1724no—
2421Q8—1724no—
2422Q8—1722no—
2423D4—22no—
2424D4—42no—
2425D4—864no—
2426D4—868no—
2427D4—864no—
2428D4—862no—
2429D4—864no—
2430D4—862no—
2431D4—864no—
2432D4—862no—
2433D4—1724no—
2434D4—1724no—
2435D4—1722no—
2436D4—1724no—
2437D4—1722no—
2438D4—1722no—
2439D4—1724no—
2440D4—1722no—
2441D4—1724no—
2442D4—1722no—
2443D4—1724no—
2444D4—1724no—
2445D4—1724no—
2446D4—1722no—
2447D4—1722no—
2448D4—1722no—
2449D4—1722no—
2450D4—1724no—
2451D4—1722no—
2452D4—1722no—
2453D4—1724no—
2454D4—1724no—
2455C2×C4—24no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—41no—
2459C2×C4—44no—
2460C2×C4—431no—
2461C2×C4—431no—
2462C2×C4—431no—
2463C2×C4—431no—
2464C2×C4—431no—
2465C2×C4—432no—
2466C2×C4—432no—
2467C2×C4—431no—
2468C2×C4—434no—
2469C2×C4—432no—
2470C2×C4—432no—
2471C2×C4—432no—
2472C2×C4—862no—
2473C2×C4—862no—
2474C2×C4—864no—
2475C2×C4—862no—
2476C2×C4—862no—
2477C2×C4—864no—
2478C2×C4—862no—
2479C2×C4—862no—
2480C2×C4—864no—
2481C2×C4—864no—
2482C2×C4—1721no—
2483C2×C4—1721no—
2484C2×C4—1721no—
2485C2×C4—1721no—
2486C2×C4—1722no—
2487C2×C4—1722no—
2488C2×C4—1721no—
2489C2×C4—1721no—
2490C2×C4—1722no—
2491C2×C4—1724no—
2492C2×C4—1724no—
2493C2×C4—1722no—
2494C2×C4—1724no—
2495C2×C4—1724no—
2496C2×C4—1722no—
2497C2×C4—1724no—
2498C2×C4—1724no—
2499C2×C4—1724no—
2500C2×C4—1722no—
2501C2×C4—1724no—
2502C2×C4—1724no—
2503C2×C4—1724no—
2504C2×C4—1724no—
2505C2×C4—1722no—
2506C2×C4—1721no—
2507C2×C4—1721no—
2508C2×C4—1722no—
2509C2×C4—1721no—
2510C2×C4C24×D4312yes—
2511C2×C4C24×D4312yes—
2512C2×C4C24×D4311yescharacteristic
2513C2×C4C24×D4311yescharacteristic
2514C2×C4C24×D4311yescharacteristic
2515C2×C4C24×D4314yes—
2516C2×C4C24×D4311yescharacteristic
2517C2×C4C24×D4312yes—
2518C2×C4C24×D4312yes—
2519C2×C4C24×D4312yes—
2520C2×C4C24×D4314yes—
2521C2×C4C24×D4312yes—
2522C2×C4C24×D4312yes—
2523C2×C4C24×D4311yescharacteristic
2524C2×C4C24×D4311yescharacteristic
2525C22—22no—
2526C22—21no—
2527C22—21no—
2528C22—21no—
2529C22—22no—
2530C22—22no—
2531C22—432no—
2532C22—861no—
2533C22—861no—
2534C22—862no—
2535C22—864no—
2536C22—861no—
2537C22—862no—
2538C22—862no—
2539C22—862no—
2540C22—862no—
2541C22—861no—
2542C22—861no—
2543C22—862no—
2544C22—862no—
2545C22—862no—
2546C22—864no—
2547C22—864no—
2548C22—862no—
2549C22—3444no—
2550C22—1724no—
2551C22—6884no—
2552C22C25×D4311yescharacteristic
2553C4—22no—
2554C4—21no—
2555C4—21no—
2556C4—24no—
2557C4—22no—
2558C4—22no—
2559C4—21no—
2560C4—22no—
2561C4—21no—
2562C4—22no—
2563C4—22no—
2564C4—24no—
2565C4—22no—
2566C4—861no—
2567C4—861no—
2568C4—862no—
2569C4—861no—
2570C4—861no—
2571C4—861no—
2572C4—862no—
2573C4—862no—
2574C4—861no—
2575C4—862no—
2576C4—864no—
2577C4—862no—
2578C4#1458373612yes—
2579C4#1458373612yes—
2580C2—42no—
2581C2—41no—
2582C2—862no—
2583C2—1722no—
2584C2—1721no—
2585C2—1722no—
2586C2—1724no—
2587C2—1722no—
2588C2#585×D4311yescharacteristic
2589C2C2×#1458373611yescharacteristic
2590C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3555C2
hypercenter#3555D43
hypocenterC43#62827
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3555

Complements

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

NH ≅ G/Ntype
1. #19149276C2semidirect
2. #19149258C2semidirect
3. #19149236C2semidirect
4. #19149189C2semidirect
5. #19149066C2semidirect
6. #19148978C2semidirect
7. #19148969C2semidirect
8. #19148907C2semidirect
9. #19148894C2semidirect
10. #19148771C2semidirect
11. #19148707C2semidirect
12. #19148701C2semidirect
13. #19148688C2semidirect
14. #19148681C2semidirect
15. #19148669C2semidirect
16. #19148668C2semidirect
17. #19148662C2semidirect
18. #19148643C2semidirect
19. #19148628C2semidirect
20. #19148613C2semidirect
21. #19148602C2semidirect
22. #19148576C2semidirect
23. #19148572C2semidirect
24. #19148559C2semidirect
25. #19148559C2semidirect
26. #19148518C2semidirect
27. #19148487C2semidirect
28. #19148448C2semidirect
29. #19148435C2semidirect
30. #19148339C2semidirect
31. #19148333C2semidirect
32. #19147892C2semidirect
33. #19147892C2semidirect
34. #529×D43C2semidirect
35. C43×#3555C2semidirect
36. #14583653C22semidirect
37. #14583647C22semidirect
38. #14583645C22semidirect
39. #14583645C22semidirect
40. #14583645C22semidirect
41. #14583640C22semidirect
42. #14583639C22semidirect
43. #14583634C22semidirect
44. #14583634C22semidirect
45. #14583634C22semidirect
46. #14583634C22semidirect
47. #14583633C22semidirect
48. #14583631C22semidirect
49. #14583627C22semidirect
50. #14583626C22semidirect
51. #14583623C22semidirect
52. #14583623C22semidirect
53. #14583622C22semidirect
54. #14583622C22semidirect
55. #14583621C22semidirect
56. #14583620C22semidirect
57. #14583616C22semidirect
58. #14583615C22semidirect
59. #14583615C22semidirect
60. #14583615C22semidirect
61. #14583612C22semidirect
62. #14583612C22semidirect
63. #14583612C22semidirect
64. #14583610C22semidirect
65. #14583610C22semidirect
66. #14583609C22semidirect
67. #14583609C22semidirect
68. #14583605C22semidirect
70. #14583602C22semidirect
71. #14583602C22semidirect
72. #14583602C22semidirect
73. #14583602C22semidirect
74. #14583602C22semidirect
75. #14583602C22semidirect
76. #14583602C22semidirect
77. #14583600C22semidirect
78. #14583600C22semidirect
79. #14583600C22semidirect
80. #14583600C22semidirect
81. #14583600C22semidirect
83. #14583597C22semidirect
84. #14583593C22semidirect
85. #14583590C22semidirect
86. #14583590C22semidirect
87. #14583590C22semidirect
88. #14583588C22semidirect
89. #14583587C22semidirect
90. #14583587C22semidirect
91. #14583585C22semidirect
92. #14583584C22semidirect
93. #14583583C22semidirect
94. #14583581C22semidirect
95. #14583581C22semidirect
96. #14583581C22semidirect
97. #14583581C22semidirect
98. #14583581C22semidirect
99. #14583579C22semidirect
100. #14583576C22semidirect
101. #14583576C22semidirect
102. #14583574C22semidirect
103. #14583574C22semidirect
104. #14583574C22semidirect
105. #14583574C22semidirect
106. #14583574C22semidirect
107. #14583574C22semidirect
108. #14583573C22semidirect
109. #14583572C22semidirect
110. #14583571C22semidirect
111. #14583571C22semidirect
112. #14583571C22semidirect
113. #14583571C22semidirect
114. #14583570C22semidirect
115. Q8×D172C22semidirect
116. #14583564C22semidirect
117. #14583564C22semidirect
118. #14583561C22semidirect
119. #14583561C22semidirect
120. #14583561C22semidirect
121. #14583561C22semidirect
122. #14583559C22semidirect
123. #14583559C22semidirect
124. #14583554C22semidirect
125. #14583552C22semidirect
126. #14583552C22semidirect
127. #14583552C22semidirect
128. #14583552C22semidirect
129. #14583552C22semidirect
130. #14583551C22semidirect
131. #14583551C22semidirect
132. #14583545C22semidirect
135. #14583542C22semidirect
137. #14583540C22semidirect
138. #14583540C22semidirect
139. #14583540C22semidirect
140. #14583540C22semidirect
142. D4×D172C22semidirect
143. #14583529C22semidirect
144. #14583523C22semidirect
145. #14583523C22semidirect
146. #14583523C22semidirect
147. #14583523C22semidirect
148. #14583523C22semidirect
149. #14583523C22semidirect
150. #14583522C22semidirect
151. #14583522C22semidirect
152. #14583521C22semidirect
153. #14583520C22semidirect
154. #14583520C22semidirect
155. #14583518C22semidirect
156. #14583515C22semidirect
157. #14583510C22semidirect
158. #14583510C22semidirect
159. #14583509C22semidirect
160. #14583508C22semidirect
161. #14583505C22semidirect
162. #14583505C22semidirect
163. #14583505C22semidirect
164. #14583505C22semidirect
165. #14583505C22semidirect
166. #14583504C22semidirect
167. #14583501C22semidirect
168. #14583497C22semidirect
169. #14583497C22semidirect
170. #14583497C22semidirect
171. #14583495C22semidirect
172. #14583495C22semidirect
173. #14583490C22semidirect
174. #14583490C22semidirect
175. #14583489C22semidirect
176. #14583488C22semidirect
177. #14583488C22semidirect
178. #14583488C22semidirect
179. #14583488C22semidirect
180. #14583488C22semidirect
181. #14583488C22semidirect
182. #14583488C22semidirect
183. #14583483C22semidirect
184. #14583479C22semidirect
185. #14583479C22semidirect
186. #14583474C22semidirect
187. #14583472C22semidirect
188. #14583468C22semidirect
189. #14583467C22semidirect
191. #14583460C22semidirect
192. #14583454C22semidirect
193. #14583454C22semidirect
194. #14583454C22semidirect
195. #14583454C22semidirect
196. #14583454C22semidirect
197. #14583453C22semidirect
200. #14583450C22semidirect
201. #14583450C22semidirect
202. #14583450C22semidirect
203. #14583450C22semidirect
204. #14583449C22semidirect
205. #14583449C22semidirect
207. #14583436C22semidirect
208. #14583436C22semidirect
209. #14583436C22semidirect
210. #14583436C22semidirect
211. #14583436C22semidirect
212. #14583436C22semidirect
213. #14583436C22semidirect
214. #14583436C22semidirect
215. #14583436C22semidirect
216. #14583436C22semidirect
217. #14583435C22semidirect
218. #14583435C22semidirect
219. #14583435C22semidirect
220. #14583435C22semidirect
221. #14583435C22semidirect
222. #14583435C22semidirect
224. #14583434C22semidirect
225. #14583434C22semidirect
226. #14583434C22semidirect
227. #14583434C22semidirect
228. #14583434C22semidirect
229. #14583434C22semidirect
230. #14583433C22semidirect
231. #14583432C22semidirect
233. #14583431C22semidirect
235. #14583429C22semidirect
237. #14583427C22semidirect
238. #14583427C22semidirect
239. #14583426C22semidirect
240. #126×D43C22semidirect
241. #126×D43C22semidirect
242. #125×D43C22semidirect
243. #125×D43C22semidirect
245. #124×D43C22semidirect
248. #14583412C22semidirect
249. #14583412C22semidirect
250. #14583412C22semidirect
251. #14583412C22semidirect
252. #14583411C22semidirect
253. #14583411C22semidirect
254. #14583411C22semidirect
255. #123×D43C22semidirect
256. C22⋊Q8×D43C22semidirect
257. C22⋊Q8×D43C22semidirect
260. #14583381C22semidirect
261. #14583381C22semidirect
262. #14583381C22semidirect
263. #14583381C22semidirect
264. #14583380C22semidirect
265. #14583375C22semidirect
266. #14583375C22semidirect
267. #14583373C22semidirect
268. #14583373C22semidirect
269. #14583371C22semidirect
270. C4×#10621902C22semidirect
271. C4×#10621902C22semidirect
272. C4×#10621902C22semidirect
273. C4×#10621902C22semidirect
274. C4×#10621902C22semidirect
275. #14583367C22semidirect
276. #14583367C22semidirect
277. C4×Q8×D43C22semidirect
279. C4×D4×D43C22semidirect
280. #117×D43C22semidirect
281. C2×C42×D43C22semidirect
282. C43×#563C22semidirect
283. Q82×C43C22semidirect
284. C43×#557C22semidirect
285. C43×#557C22semidirect
286. C43×#556C22semidirect
287. C43×#556C22semidirect
288. C43×#556C22semidirect
289. C43×#554C22semidirect
290. C43×#552C22semidirect
291. C43×#544C22semidirect
293. C43×#541C22semidirect
294. C43×#541C22semidirect
295. C43×#541C22semidirect
296. C43×#533C22semidirect
297. C43×#533C22semidirect
1289. #3555D43semidirect
1332. #563C2×D43semidirect
1345. Q82C2×D43semidirect
1348. #557C2×D43semidirect
1349. #557C2×D43semidirect
1357. #556C2×D43semidirect
1358. #556C2×D43semidirect
1359. #556C2×D43semidirect
1371. #554C2×D43semidirect
1402. #552C2×D43semidirect
1448. #544C2×D43semidirect
1467. #541C2×D43semidirect
1468. #541C2×D43semidirect
1469. #541C2×D43semidirect
1507. #533C2×D43semidirect
1508. #533C2×D43semidirect
1594. C43#62827semidirect

Maximal subgroups

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

subgroupindex
#191492762
#191492582
#191492362
#191491892
#191490662
#191489782
#191489692
#191489072
#191488942
#191487712
#191487072
#191487012
#191486882
#191486812
#191486692
#191486682
#191486622
#191486432
#191486282
#191486132
#191486022
#191485762
#191485722
#191485592
#191485182
#191484872
#191484482
#191484352
#191483392
#191483332
#191478922
#529×D432
C43×#35552
#6282743