Finite Group Databasebeta

← #26005355

Subgroups — #26005355

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#19149270C214yesmaximal, complemented
2#19149266C214yesmaximal, complemented
3#19149238C212yesmaximal, complemented
4#19149181C212yesmaximal, complemented
5#19149084C211yesmaximal, characteristic, complemented
6#19149054C211yesmaximal, characteristic, complemented
7#19148985C211yesmaximal, characteristic, complemented
8#19148955C211yesmaximal, characteristic, complemented
9#19148912C212yesmaximal, complemented
10#19148874C212yesmaximal, complemented
11#19148765C214yesmaximal, complemented
12#19148702C212yesmaximal, complemented
13#19148699C212yesmaximal, complemented
14#19148691C211yesmaximal, characteristic, complemented
15#19148666C212yesmaximal, complemented
16#19148665C212yesmaximal, complemented
17#19148664C214yesmaximal, complemented
18#19148646C211yesmaximal, characteristic, complemented
19#19148622C211yesmaximal, characteristic, complemented
20#19148613C211yesmaximal, characteristic, complemented
21#19148598C211yesmaximal, characteristic, complemented
22#19148574C211yesmaximal, characteristic, complemented
23#19148564C212yesmaximal, complemented
24#19148555C211yesmaximal, characteristic, complemented
25#19148549C212yesmaximal, complemented
26#19148512C212yesmaximal, complemented
27#19148487C212yesmaximal, complemented
28#19148444C212yesmaximal, complemented
29#19148430C212yesmaximal, complemented
30#19148335C212yesmaximal, complemented
31#19148325C212yesmaximal, complemented
32#19147890C211yesmaximal, characteristic, complemented
33#19147889C211yesmaximal, characteristic, complemented
34C2×#14583436C211yesmaximal, characteristic, complemented
35C43×#3522C211yesmaximal, characteristic, complemented
36#14583650C2214yescomplemented
37#14583648C2214yescomplemented
38#14583646C2214yescomplemented
39#14583645C2214yescomplemented
40#14583645C2214yescomplemented
41#14583643C2214yescomplemented
42#14583639C2214yescomplemented
43#14583637C2214yescomplemented
44#14583633C2214yescomplemented
45#14583631C2212yescomplemented
46#14583631C2214yescomplemented
47#14583631C2214yescomplemented
48#14583628C2211yescharacteristic, complemented
49#14583627C2211yescharacteristic, complemented
50#14583627C2212yescomplemented
51#14583624C2212yescomplemented
52#14583623C2212yescomplemented
53#14583623C2214yescomplemented
54#14583623C2212yescomplemented
55#14583622C2211yescharacteristic, complemented
56#14583622C2212yescomplemented
57#14583622C2211yescharacteristic, complemented
58#14583622C2212yescomplemented
59#14583621C2212yescomplemented
60#14583620C2214yescomplemented
61#14583616C2214yescomplemented
62#14583615C2211yescharacteristic, complemented
63#14583615C2212yescomplemented
64#14583614C2212yescomplemented
65#14583614C2212yescomplemented
66#14583611C2214yescomplemented
67#14583611C2214yescomplemented
68#14583610C2211yescharacteristic, complemented
69#14583608C2214yescomplemented
70#14583606C2212yescomplemented
71#14583606C2212yescomplemented
72#14583602C2212yescomplemented
73#14583601C2212yes—
74#14583601C2212yescomplemented
75#14583600C2214yescomplemented
76#14583599C2212yescomplemented
77#14583599C2212yescomplemented
78#14583598C2214yescomplemented
79#14583598C2214yescomplemented
80#14583597C2212yes—
81#14583597C2214yescomplemented
82#14583595C2214yescomplemented
83#14583595C2214yescomplemented
84#14583595C2214yescomplemented
85#14583593C2214yescomplemented
86#14583592C2214yescomplemented
87#14583592C2214yescomplemented
88#14583591C2214yescomplemented
89#14583591C2212yescomplemented
90#14583591C2214yescomplemented
91#14583590C2212yescomplemented
92#14583588C2214yescomplemented
93#14583587C2212yescomplemented
94#14583587C2212yescomplemented
95#14583586C2214yescomplemented
96#14583586C2214yescomplemented
97#14583585C2214yescomplemented
98#14583584C2212yescomplemented
99#14583584C2212yescomplemented
100#14583584C2214yescomplemented
101#14583584C2214yescomplemented
102#14583582C2214yescomplemented
103#14583579C2214yescomplemented
104#14583578C2214yescomplemented
105#14583578C2214yescomplemented
106#14583576C2214yescomplemented
107#14583576C2214yescomplemented
108#14583574C2214yescomplemented
109#14583573C2214yescomplemented
110#14583572C2214yescomplemented
111#14583572C2214yescomplemented
112#14583572C2214yescomplemented
113#14583572C2214yescomplemented
114#14583569C2211yescharacteristic, complemented
115#14583569C2212yescomplemented
116#14583569C2212yescomplemented
117#14583567C2212yescomplemented
118Q8×D172C2211yescharacteristic, complemented
119Q8×D172C2211yescharacteristic, complemented
120Q8×C22⋊D43C2212yescomplemented
121#14583561C2212yescomplemented
122#14583559C2212yescomplemented
123#14583557C2212yescomplemented
124#14583557C2212yescomplemented
125#14583557C2212yescomplemented
126#14583554C2211yescharacteristic, complemented
127#14583553C2211yescharacteristic, complemented
128#14583553C2212yescomplemented
129#14583553C2212yescomplemented
130#14583548C2214yescomplemented
131#14583548C2212yescomplemented
132#14583545C2212yes—
133#14583544C2212yes—
134#14583544C2212yescomplemented
135#14583544C2212yescomplemented
136#14583542C2212yescomplemented
137#14583538C2214yescomplemented
138#14583537C2214yes—
139#14583537C2212yescomplemented
140#14583537C2214yescomplemented
141#14583534C2211yescharacteristic, complemented
142#14583533C2212yes—
143#14583529C2212yescomplemented
144#14583526C2212yescomplemented
145#14583523C2212yes—
146#14583523C2212yescomplemented
147#14583523C2214yescomplemented
148#14583522C2214yescomplemented
149#14583520C2212yescomplemented
150#14583519C2214yescomplemented
151#14583519C2214yescomplemented
152#14583518C2212yescomplemented
153#14583518C2212yescomplemented
154#14583514C2212yescomplemented
155#14583514C2212yescomplemented
156#14583513C2214yescomplemented
157#14583512C2212yescomplemented
158#14583510C2214yescomplemented
159#14583509C2214yescomplemented
160#14583507C2212yescomplemented
161#14583507C2212yescomplemented
162#14583507C2212yescomplemented
163#14583507C2214yescomplemented
164#14583503C2212yescomplemented
165#14583501C2214yescomplemented
166#14583501C2214yescomplemented
167#14583500C2212yescomplemented
168#14583500C2212yescomplemented
169#14583500C2212yescomplemented
170#14583499C2214yescomplemented
171#14583498C2214yescomplemented
172#14583498C2214yescomplemented
173#14583496C2214yescomplemented
174#14583493C2214yescomplemented
175#14583493C2214yescomplemented
176#14583493C2214yescomplemented
177#14583490C2214yescomplemented
178#14583489C2214yescomplemented
179#14583486C2214yescomplemented
180#14583486C2214yescomplemented
181#14583486C2214yescomplemented
182#14583485C2214yescomplemented
183#14583483C2214yescomplemented
184#14583483C2214yescomplemented
185#14583482C2214yescomplemented
186#14583482C2214yescomplemented
187#14583480C2212yescomplemented
188#14583477C2212yescomplemented
189#14583472C2212yescomplemented
190#14583469C2212yescomplemented
191#14583465C2212yes—
192#14583463C2214yescomplemented
193#14583462C2212yescomplemented
194#14583460C2214yescomplemented
195#14583456C2212yescomplemented
196#14583456C2211yescharacteristic, complemented
197#14583455C2211yescharacteristic, complemented
198#14583454C2212yescomplemented
199#14583454C2211yescharacteristic, complemented
200#14583454C2211yescharacteristic, complemented
201#14583453C2211yescharacteristic, complemented
202#14583451C2211yescharacteristic, complemented
203#14583448C2211yescharacteristic, complemented
204#14583447C2211yescharacteristic, complemented
205#14583447C2211yescharacteristic, complemented
206#14583446C2211yescharacteristic, complemented
207#14583445C2212yescomplemented
208#14583444C2211yescharacteristic
209#14583436C2211yescharacteristic
210#14583436C2211yescharacteristic
211#14583436C2211yescharacteristic
212#14583436C2211yescharacteristic
213#14583436C2212yescomplemented
214#14583436C2211yescharacteristic, complemented
215#14583436C2212yescomplemented
216#14583436C2212yescomplemented
217#14583436C2211yescharacteristic, complemented
218#14583436C2211yescharacteristic, complemented
219#14583436C2212yescomplemented
220#14583436C2212yescomplemented
221#14583436C2211yescharacteristic, complemented
222#14583435C2212yescomplemented
223#14583435C2214yescomplemented
224#14583434C2211yescharacteristic, complemented
225#14583433C2212yes—
226#14583433C2211yescharacteristic
227#14583432C2212yescomplemented
228#14583432C2212yescomplemented
229#14583431C2212yescomplemented
230#14583431C2212yescomplemented
231#14583431C2212yescomplemented
232#14583430C2212yescomplemented
233#14583430C2212yescomplemented
234#14583430C2212yescomplemented
235#14583429C2214yescomplemented
236#14583428C2211yescharacteristic, complemented
237#14583428C2212yescomplemented
238#14583428C2212yescomplemented
239#14583427C2212yescomplemented
240#14583426C2212yescomplemented
241#14583426C2214yescomplemented
242C2×#13063320C2212yescomplemented
243C2×#13063320C2214yescomplemented
244C2×#13063316C2211yescharacteristic, complemented
245C2×#13063316C2212yescomplemented
246C2×#13063314C2211yescharacteristic
247#124×D43C2212yescomplemented
248#14583412C2211yescharacteristic
249#14583409C2212yes—
250#14583409C2212yescomplemented
251#14583409C2212yescomplemented
252#14583409C2211yescharacteristic, complemented
253#14583409C2212yescomplemented
254#14583408C2212yescomplemented
255#14583407C2212yescomplemented
256#14583406C2212yescomplemented
257C2×#13063310C2212yescomplemented
258C2×#13063301C2211yescharacteristic, complemented
259C22⋊Q8×D43C2212yescomplemented
260C2×#13063300C2211yescharacteristic
261#121×D43C2212yes—
262#14583382C2214yescomplemented
263#14583379C2212yescomplemented
264#14583378C2212yescomplemented
265#14583378C2212yescomplemented
266#14583375C2212yescomplemented
267#14583375C2212yescomplemented
268#14583371C2214yescomplemented
269#14583371C2212yescomplemented
270#14583371C2212yescomplemented
271#41×Dic43C2212yescomplemented
272C4×#10621902C2211yescharacteristic, complemented
273#14583367C2212yescomplemented
274C4×#10621900C2212yescomplemented
275C4×#10621900C2211yescharacteristic, complemented
276C4×#10621900C2212yescomplemented
277C4×#10621900C2212yescomplemented
278C2×C4×D172C2211yescharacteristic
279C2×C4×D172C2212yescomplemented
280C2×#13063282C2212yescomplemented
281C2×C42×D43C2211yescharacteristic, complemented
282C43×#559C2211yescharacteristic, complemented
283C43×#559C2212yescomplemented
284Q82×C43C2211yescharacteristic, complemented
285C43×#554C2211yescharacteristic, complemented
286C43×#554C2212yescomplemented
287C43×#550C2211yescharacteristic, complemented
288C43×#548C2212yescomplemented
289C43×#547C2212yescomplemented
290C43×#547C2214yescomplemented
291C43×#542C2212yescomplemented
292C43×#542C2214yescomplemented
293C43×#532C2211yescharacteristic
294C43×#532C2212yescomplemented
295C43×#529C2212yescomplemented
296C43×#529C2211yescharacteristic, complemented
297C43×#520C2212yescomplemented
298C2×C4×Q8×C43C2211yescharacteristic, complemented
299C2×#10621902C2311yescharacteristic
300C2×#10621898C2312yes—
301C2×#10621898C2312yes—
302C2×#10621900C2312yes—
303C2×#10621900C2311yescharacteristic
304C2×#10621900C2312yes—
305C2×#10621900C2312yes—
306C2×#10621900C2312yes—
307C2×#10621900C2312yes—
308C2×Q8×D43C2312yes—
309C2×Q8×D43C2312yes—
310C22×D172C2311yescharacteristic
311C22×D172C2312yes—
312C2×D4×D43C2314yes—
313C2×D4×D43C2312yes—
314C2×D4×D43C2312yes—
315C22×C4×D43C2311yescharacteristic
316C22×C4×D43C2311yescharacteristic
317C22×C4×D43C2311yescharacteristic
318C22×C4×D43C2312yes—
319#13063325C2312yes—
320#13063325C2311yescharacteristic
321#13063325C2311yescharacteristic
322#13063325C2312yes—
323#13063325C2312yes—
324#13063324C2314yes—
325#13063324C2311yescharacteristic
326#13063324C2311yescharacteristic
327#13063323C2314yes—
328#13063323C2312yes—
329#13063323C2314yes—
330#13063323C2311yescharacteristic
331#13063321C2314yes—
332#13063321C2312yes—
333#13063321C2314yes—
334#13063321C2311yescharacteristic
335#13063320C2312yes—
336#13063320C2314yes—
337#13063320C2312yes—
338#13063320C2314yes—
339#13063320C2314yes—
340#13063320C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063320C2314yes—
344#13063320C2314yes—
345#13063320C2312yes—
346#13063320C2314yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2314yes—
350#13063320C2314yes—
351#13063320C2312yes—
352#13063320C2314yes—
353#13063320C2314yes—
354#13063320C2312yes—
355#13063320C2312yes—
356#13063320C2312yes—
357#13063320C2312yes—
358#13063320C2312yes—
359#13063319C2314yes—
360#13063319C2314yes—
361#13063319C2314yes—
362#13063319C2312yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2314yes—
369#13063318C2312yes—
370#13063318C2314yes—
371#13063317C2314yes—
372#13063317C2314yes—
373#13063317C2312yes—
374#13063317C2311yescharacteristic
375#13063317C2312yes—
376#13063316C2311yescharacteristic
377#13063316C2314yes—
378#13063316C2314yes—
379#13063316C2312yes—
380#13063316C2314yes—
381#13063316C2312yes—
382#13063316C2314yes—
383#13063316C2314yes—
384#13063316C2312yes—
385#13063316C2311yescharacteristic
386#13063316C2311yescharacteristic
387#13063316C2311yescharacteristic
388#13063316C2312yes—
389#13063316C2312yes—
390#13063316C2312yes—
391#13063315C2312yes—
392#13063315C2314yes—
393#13063315C2314yes—
394#13063315C2314yes—
395#13063315C2314yes—
396#13063315C2314yes—
397#13063315C2314yes—
398#13063315C2314yes—
399#13063315C2312yes—
400#13063314C2311yescharacteristic
401#13063314C2312yes—
402#13063314C2314yes—
403#13063314C2314yes—
404#13063314C2314yes—
405#13063314C2314yes—
406#13063314C2311yescharacteristic
407#13063314C2311yescharacteristic
408#13063314C2311yescharacteristic
409#13063314C2312yes—
410#13063313C2314yes—
411#13063313C2312yes—
412#13063313C2312yes—
413#13063313C2311yescharacteristic
414#13063312C2312yes—
415#13063312C2312yes—
416#13063311C2314yes—
417#13063311C2314yes—
418#13063311C2314yes—
419#13063311C2314yes—
420#13063311C2314yes—
421#13063311C2314yes—
422#13063311C2312yes—
423#13063311C2314yes—
424#13063311C2314yes—
425#13063311C2314yes—
426#13063311C2312yes—
427#13063310C2312yes—
428#13063310C2314yes—
429#13063310C2314yes—
430#13063310C2314yes—
431#13063310C2312yes—
432#13063310C2314yes—
433#13063310C2314yes—
434#13063310C2312yes—
435#13063310C2312yes—
436#13063310C2312yes—
437#13063310C2312yes—
438#13063310C2312yes—
439#13063310C2312yes—
440#13063310C2312yes—
441#13063310C2312yes—
442#13063309C2314yes—
443#13063309C2314yes—
444#13063309C2314yes—
445#13063309C2314yes—
446#13063309C2314yes—
447#13063309C2314yes—
448#13063309C2314yes—
449#13063309C2314yes—
450#13063308C2314yes—
451#13063308C2314yes—
452#13063308C2314yes—
453#13063308C2312yes—
454#13063308C2314yes—
455#13063308C2314yes—
456#13063308C2314yes—
457#13063307C2314yes—
458#13063307C2314yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2314yes—
465#13063307C2312yes—
466#13063307C2314yes—
467#13063307C2312yes—
468#13063306C2314yes—
469#13063306C2314yes—
470#13063306C2314yes—
471#13063305C2311yescharacteristic
472#13063305C2312yes—
473#13063305C2312yes—
474#13063305C2312yes—
475#13063305C2312yes—
476#13063305C2314yes—
477#13063305C2314yes—
478#13063305C2314yes—
479#13063305C2312yes—
480#13063305C2314yes—
481#13063305C2312yes—
482#13063304C2312yes—
483#13063304C2314yes—
484#13063304C2312yes—
485#13063304C2314yes—
486#13063304C2314yes—
487#13063304C2312yes—
488#13063304C2311yescharacteristic
489#13063303C2314yes—
490#13063303C2314yes—
491#13063303C2314yes—
492#13063303C2312yes—
493#13063303C2312yes—
494#13063303C2312yes—
495#13063302C2314yes—
496#13063302C2314yes—
497#13063302C2314yes—
498#13063302C2312yes—
499#13063302C2314yes—
500#13063302C2314yes—
501#13063302C2314yes—
502#13063301C2311yescharacteristic
503#13063301C2311yescharacteristic
504#13063301C2312yes—
505#13063301C2314yes—
506#13063301C2312yes—
507#13063301C2314yes—
508#13063301C2314yes—
509#13063301C2314yes—
510#13063301C2311yescharacteristic
511#13063301C2312yes—
512#13063301C2312yes—
513#13063301C2311yescharacteristic
514#13063301C2311yescharacteristic
515#13063301C2312yes—
516#13063301C2312yes—
517#13063300C2312yes—
518#13063300C2314yes—
519#13063300C2312yes—
520#13063300C2311yescharacteristic
521#13063300C2314yes—
522#13063300C2311yescharacteristic
523#13063300C2311yescharacteristic
524#13063300C2312yes—
525#13063300C2311yescharacteristic
526#13063300C2311yescharacteristic
527#13063300C2312yes—
528#13063299C2314yes—
529#13063299C2314yes—
530#13063299C2312yes—
531#13063299C2314yes—
532#13063299C2314yes—
533#13063299C2314yes—
534#13063299C2314yes—
535#13063299C2314yes—
536#13063299C2311yescharacteristic
537#13063298C2314yes—
538#13063298C2314yes—
539#13063298C2314yes—
540#13063298C2314yes—
541#13063298C2314yes—
542#13063298C2314yes—
543#13063298C2314yes—
544#13063298C2312yes—
545#13063298C2312yes—
546#13063298C2312yes—
547#13063297C2314yes—
548#13063297C2314yes—
549#13063297C2314yes—
550#13063297C2314yes—
551#13063297C2314yes—
552#13063297C2314yes—
553#13063297C2312yes—
554#13063297C2314yes—
555#13063297C2314yes—
556#13063297C2314yes—
557#13063297C2314yes—
558#13063296C2312yes—
559#13063296C2312yes—
560#13063296C2312yes—
561#13063296C2311yescharacteristic
562#13063296C2312yes—
563#13063296C2312yes—
564#13063296C2312yes—
565#13063296C2312yes—
566#13063296C2312yes—
567#13063295C2314yes—
568#13063295C2314yes—
569#13063295C2314yes—
570#13063295C2312yes—
571#13063293C2314yes—
572#13063293C2314yes—
573#13063293C2314yes—
574#13063293C2314yes—
575#13063293C2314yes—
576#13063293C2314yes—
577#13063293C2312yes—
578Q8×Dic43C2312yes—
579Q8×Dic43C2312yes—
580Q8×Dic43C2314yes—
581Q8×Dic43C2314yes—
582Q8×Dic43C2311yescharacteristic
583Q8×Dic43C2312yes—
584C4×Dic86C2312yes—
585C4×Dic86C2312yes—
586C4×Dic86C2312yes—
587C4×Dic86C2311yescharacteristic
588C4×Dic86C2312yes—
589C4×Dic86C2312yes—
590C4×Dic86C2314yes—
591C4×Dic86C2314yes—
592C4×Dic86C2312yes—
593C4×Dic86C2312yes—
594#13063290C2312yes—
595#13063290C2312yes—
596#13063290C2312yes—
597#13063290C2314yes—
598#13063290C2314yes—
599#13063290C2312yes—
600#13063290C2312yes—
601#13063290C2311yescharacteristic
602#13063290C2312yes—
603C4×D172C2312yes—
604C4×D172C2312yes—
605C4×D172C2311yescharacteristic
606C4×D172C2311yescharacteristic
607C4×D172C2312yes—
608C4×D172C2312yes—
609C4×D172C2312yes—
610C4×D172C2314yes—
611C4×D172C2312yes—
612C4×D172C2311yescharacteristic
613C4×D172C2312yes—
614C4×D172C2312yes—
615C4×D172C2312yes—
616C4×D172C2312yes—
617C4×D172C2312yes—
618C4×D172C2312yes—
619C4×D172C2311yescharacteristic
620C4×D172C2311yescharacteristic
621C4×D172C2312yes—
622D4×Dic43C2314yes—
623D4×Dic43C2314yes—
624D4×Dic43C2312yes—
625D4×Dic43C2312yes—
626D4×Dic43C2314yes—
627D4×Dic43C2314yes—
628D4×Dic43C2314yes—
629D4×Dic43C2312yes—
630D4×Dic43C2312yes—
631D4×Dic43C2311yescharacteristic
632D4×Dic43C2312yes—
633D4×Dic43C2314yes—
634D4×Dic43C2312yes—
635#13063287C2314yes—
636#13063287C2312yes—
637#13063287C2312yes—
638#13063287C2312yes—
639#13063287C2311yescharacteristic
640#13063287C2312yes—
641C4×C22⋊D43C2312yes—
642C4×C22⋊D43C2314yes—
643C4×C22⋊D43C2312yes—
644C4×C22⋊D43C2312yes—
645C4×C22⋊D43C2314yes—
646C4×C22⋊D43C2314yes—
647C4×C22⋊D43C2314yes—
648C4×C22⋊D43C2314yes—
649C4×C22⋊D43C2314yes—
650C4×C22⋊D43C2314yes—
651C4×C22⋊D43C2314yes—
652(C22⋊D43)⋊C4C2314yes—
653(C22⋊D43)⋊C4C2314yes—
654(C22⋊D43)⋊C4C2314yes—
655(C22⋊D43)⋊C4C2314yes—
656(C22⋊D43)⋊C4C2312yes—
657(C22⋊D43)⋊C4C2314yes—
658(C22⋊D43)⋊C4C2312yes—
659(C22⋊D43)⋊C4C2314yes—
660(C22⋊D43)⋊C4C2314yes—
661(C22⋊D43)⋊C4C2312yes—
662(C22⋊D43)⋊C4C2314yes—
663(C22⋊D43)⋊C4C2312yes—
664(C22⋊D43)⋊C4C2312yes—
665(C22⋊D43)⋊C4C2312yes—
666(C22⋊D43)⋊C4C2314yes—
667(C22⋊D43)⋊C4C2312yes—
668#13063284C2312yes—
669#13063284C2314yes—
670#13063284C2314yes—
671#13063284C2314yes—
672#13063284C2314yes—
673#13063283C2312yes—
674#13063283C2314yes—
675#13063283C2314yes—
676#13063283C2314yes—
677#13063283C2314yes—
678#13063283C2312yes—
679#13063283C2312yes—
680#13063283C2312yes—
681#13063283C2311yescharacteristic
682#13063283C2312yes—
683#13063283C2312yes—
684#13063283C2312yes—
685#13063283C2312yes—
686#13063283C2311yescharacteristic
687#13063282C2314yes—
688#13063282C2314yes—
689#13063282C2312yes—
690#13063282C2314yes—
691#13063282C2312yes—
692#13063282C2312yes—
693#13063282C2312yes—
694#13063282C2312yes—
695#13063282C2312yes—
696#13063282C2312yes—
697#13063282C2312yes—
698#13063282C2312yes—
699#13063282C2312yes—
700#13063281C2314yes—
701#13063281C2314yes—
702#13063281C2312yes—
703#13063281C2314yes—
704#13063281C2312yes—
705#13063281C2312yes—
706#13063281C2314yes—
707C2×C4⋊Dic43C2314yes—
708C2×C4⋊Dic43C2314yes—
709C2×C4⋊Dic43C2312yes—
710C2×C4⋊Dic43C2311yescharacteristic
711C2×C4⋊Dic43C2312yes—
712C2×Dic43⋊C4C2314yes—
713C2×Dic43⋊C4C2312yes—
714C2×Dic43⋊C4C2314yes—
715C2×Dic43⋊C4C2312yes—
716C4⋊C4×D43C2312yes—
717C4⋊C4×D43C2314yes—
718C4⋊C4×D43C2312yes—
719C2×(C2×D43)⋊C4C2312yes—
720C2×(C2×D43)⋊C4C2312yes—
721C2×(C2×D43)⋊C4C2314yes—
722C2×(C2×D43)⋊C4C2314yes—
723C2×(C2×D43)⋊C4C2314yes—
724C2×(C2×D43)⋊C4C2312yes—
725C2×(C2×D43)⋊C4C2312yes—
726C2×(C2×D43)⋊C4C2312yes—
727C22⋊C4×D43C2314yes—
728C22⋊C4×D43C2314yes—
729C22⋊C4×D43C2314yes—
730C22⋊C4×D43C2314yes—
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2311yescharacteristic
734C2×C4×Dic43C2312yes—
735C2×C4×Dic43C2314yes—
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2311yescharacteristic
742C42×D43C2311yescharacteristic
743C42×D43C2311yescharacteristic
744C42×D43C2312yes—
745C2×#41×C43C2312yes—
746C2×#41×C43C2312yes—
747C2×#41×C43C2314yes—
748C22×Q8×C43C2311yescharacteristic
749C4⋊Q8×C43C2311yescharacteristic
750C4⋊Q8×C43C2312yes—
751C4⋊Q8×C43C2312yes—
752C4⋊Q8×C43C2314yes—
753#127×C43C2312yes—
754#127×C43C2311yescharacteristic
755#126×C43C2314yes—
756#126×C43C2312yes—
757#125×C43C2311yescharacteristic
758#125×C43C2312yes—
759#124×C43C2311yescharacteristic
760#124×C43C2312yes—
761#124×C43C2312yes—
762#124×C43C2314yes—
763#124×C43C2312yes—
764#124×C43C2314yes—
765#123×C43C2312yes—
766#123×C43C2314yes—
767#123×C43C2314yes—
768#123×C43C2314yes—
769#123×C43C2314yes—
770C22⋊Q8×C43C2312yes—
771C22⋊Q8×C43C2314yes—
772C22⋊Q8×C43C2314yes—
773C22⋊Q8×C43C2311yescharacteristic
774C22⋊Q8×C43C2314yes—
775C22⋊Q8×C43C2314yes—
776#121×C43C2312yes—
777#121×C43C2312yes—
778#121×C43C2311yescharacteristic
779#121×C43C2312yes—
780#121×C43C2314yes—
781#121×C43C2314yes—
782C4×Q8×C43C2312yes—
783C4×Q8×C43C2311yescharacteristic
784C4×Q8×C43C2311yescharacteristic
785C4×Q8×C43C2311yescharacteristic
786C4×Q8×C43C2311yescharacteristic
787C4×Q8×C43C2312yes—
788C4×Q8×C43C2311yescharacteristic
789C4×Q8×C43C2312yes—
790C4×Q8×C43C2312yes—
791C4×D4×C43C2311yescharacteristic
792C4×D4×C43C2312yes—
793C4×D4×C43C2312yes—
794C4×D4×C43C2314yes—
795C4×D4×C43C2312yes—
796C4×D4×C43C2314yes—
797C4×D4×C43C2312yes—
798C4×D4×C43C2314yes—
799C4×D4×C43C2312yes—
800C4×D4×C43C2312yes—
801C4×D4×C43C2312yes—
802#117×C43C2314yes—
803#117×C43C2312yes—
804C2×C4⋊C4×C43C2311yescharacteristic
805C2×C4⋊C4×C43C2312yes—
806C2×C4⋊C4×C43C2312yes—
807C2×C4⋊C4×C43C2314yes—
808C2×C42×C43C2311yescharacteristic
809C2×C42×C43C2312yes—
810C23×D43C2412yes—
811C23×D43C2411yescharacteristic
812C23×D43C2414yes—
813#41×C43—44no—
814#41×C43—48no—
815#41×C43—44no—
816C2×Q8×C43—42no—
817C2×Q8×C43C2411yescharacteristic
818C2×Q8×C43C2411yescharacteristic
819C2×Q8×C43C2411yescharacteristic
820C2×Q8×C43C2412yes—
821C2×Q8×C43C2412yes—
822C2×Q8×C43C2414yes—
823C2×D4×C43C2412yes—
824C2×D4×C43C2411yescharacteristic
825C2×D4×C43C2412yes—
826C2×D4×C43C2412yes—
827C2×D4×C43C2414yes—
828C2×D4×C43C2414yes—
829C2×D4×C43C2412yes—
830C2×D4×C43C2414yes—
831C22×C4×C43C2411yescharacteristic
832C22×C4×C43C2411yescharacteristic
833C22×C4×C43C2412yes—
834C22×C4×C43C2411yescharacteristic
835C22×C4×C43C2412yes—
836C22×C4×C43C2412yes—
837C22×C4×C43C2414yes—
838C22×C4×C43C2414yes—
839C22×C4×C43C2414yes—
840C22×C4×C43C2414yes—
841C2×C22⋊D43C2412yes—
842C2×C22⋊D43C2412yes—
843C2×C22⋊D43C2414yes—
844C2×C22⋊D43C2412yes—
845C2×C22⋊D43C2414yes—
846C2×C22⋊D43C2414yes—
847C2×C22⋊D43C2412yes—
848C2×C22⋊D43C2414yes—
849C2×C22⋊D43C2414yes—
850C2×C22⋊D43C2414yes—
851C2×C22⋊D43C2414yes—
852C2×C22⋊D43C2412yes—
853C2×C22⋊D43C2414yes—
854C22×Dic43C2411yescharacteristic
855C22×Dic43C2411yescharacteristic
856C22×Dic43C2411yescharacteristic
857C22×Dic43C2414yes—
858C22×Dic43C2414yes—
859C22×Dic43C2412yes—
860C22×Dic43C2412yes—
861C22×Dic43C2412yes—
862C22×Dic43C2414yes—
863C22×Dic43C2414yes—
864#10621902—42no—
865Q8×D43—44no—
866Q8×D43—44no—
867#10621900—44no—
868#10621900—44no—
869#10621900—42no—
870#10621900—44no—
871#10621900—44no—
872#10621900—44no—
873D4×D43—48no—
874D4×D43—44no—
875D4×D43—44no—
876#10621898—44no—
877#10621898—44no—
878C2×D172—44no—
879C2×D172—42no—
880C2×D172C2411yescharacteristic
881C2×D172C2411yescharacteristic
882C2×D172C2411yescharacteristic
883C2×D172C2412yes—
884C2×D172C2412yes—
885C2×D172C2414yes—
886C2×D172C2412yes—
887C2×D172C2412yes—
888C2×D172C2412yes—
889C2×D172C2412yes—
890C2×D172C2412yes—
891C2×C4×D43—42no—
892C2×C4×D43—42no—
893C2×C4×D43—42no—
894C2×C4×D43—44no—
895C2×C4×D43C2411yescharacteristic
896C2×C4×D43C2411yescharacteristic
897C2×C4×D43C2411yescharacteristic
898C2×C4×D43C2411yescharacteristic
899C2×C4×D43C2412yes—
900C2×C4×D43C2412yes—
901C2×C4×D43C2412yes—
902C2×C4×D43C2411yescharacteristic
903C2×C4×D43C2411yescharacteristic
904C2×C4×D43C2411yescharacteristic
905C2×C4×D43C2411yescharacteristic
906C2×C4×D43C2411yescharacteristic
907C2×C4×D43C2411yescharacteristic
908C2×C4×D43C2411yescharacteristic
909C2×C4×D43C2411yescharacteristic
910C2×C4×D43C2412yes—
911C2×C4×D43C2412yes—
912C2×C4×D43C2412yes—
913C2×C4×D43C2414yes—
914C2×C4×D43C2414yes—
915C2×C4×D43C2414yes—
916C2×C4×D43C2414yes—
917C2×C4×D43C2412yes—
918C2×Dic86C2412yes—
919C2×Dic86C2412yes—
920C2×Dic86C2411yescharacteristic
921C2×Dic86C2412yes—
922C2×Dic86C2414yes—
923C2×Dic86C2414yes—
924C2×Dic86C2412yes—
925C4⋊C4×C43C2411yescharacteristic
926C4⋊C4×C43C2412yes—
927C4⋊C4×C43C2412yes—
928C4⋊C4×C43C2414yes—
929C4⋊C4×C43C2412yes—
930C4⋊C4×C43C2414yes—
931C4⋊C4×C43C2411yescharacteristic
932C4⋊C4×C43C2412yes—
933C4⋊C4×C43C2412yes—
934C4⋊C4×C43C2412yes—
935C4⋊C4×C43C2412yes—
936C4⋊C4×C43C2412yes—
937C4⋊C4×C43C2411yescharacteristic
938C4⋊C4×C43C2412yes—
939C4⋊C4×C43C2411yescharacteristic
940C4⋊C4×C43C2414yes—
941C4⋊C4×C43C2412yes—
942C4⋊C4×C43C2412yes—
943C4⋊C4×C43C2414yes—
944C22⋊C4×C43C2414yes—
945C22⋊C4×C43C2412yes—
946C22⋊C4×C43C2412yes—
947C22⋊C4×C43C2414yes—
948C22⋊C4×C43C2412yes—
949C22⋊C4×C43C2414yes—
950C22⋊C4×C43C2412yes—
951C22⋊C4×C43C2414yes—
952C22⋊C4×C43C2414yes—
953C22⋊C4×C43C2414yes—
954C22⋊C4×C43C2414yes—
955C22⋊C4×C43C2412yes—
956C42×C43C2411yescharacteristic
957C42×C43C2412yes—
958C42×C43C2411yescharacteristic
959C42×C43C2412yes—
960C42×C43C2411yescharacteristic
961C42×C43C2412yes—
962C42×C43C2411yescharacteristic
963C42×C43C2412yes—
964C42×C43C2412yes—
965C42×C43C2414yes—
966C22⋊Dic43C2414yes—
967C22⋊Dic43C2414yes—
968C22⋊Dic43C2414yes—
969C22⋊Dic43C2414yes—
970C22⋊Dic43C2412yes—
971C22⋊Dic43C2412yes—
972C22⋊Dic43C2412yes—
973C22⋊Dic43C2414yes—
974C22⋊Dic43C2414yes—
975C22⋊Dic43C2414yes—
976C22⋊Dic43C2414yes—
977(C2×D43)⋊C4C2412yes—
978(C2×D43)⋊C4C2412yes—
979(C2×D43)⋊C4C2412yes—
980(C2×D43)⋊C4C2414yes—
981(C2×D43)⋊C4C2414yes—
982(C2×D43)⋊C4C2414yes—
983(C2×D43)⋊C4C2414yes—
984(C2×D43)⋊C4C2412yes—
985(C2×D43)⋊C4C2412yes—
986(C2×D43)⋊C4C2412yes—
987(C2×D43)⋊C4C2412yes—
988(C2×D43)⋊C4C2412yes—
989(C2×D43)⋊C4C2412yes—
990(C2×D43)⋊C4C2412yes—
991(C2×D43)⋊C4C2412yes—
992(C2×D43)⋊C4C2412yes—
993(C2×D43)⋊C4C2412yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2412yes—
997(C2×D43)⋊C4C2412yes—
998(C2×D43)⋊C4C2414yes—
999(C2×D43)⋊C4C2412yes—
1000(C2×D43)⋊C4C2414yes—
1001(C2×D43)⋊C4C2414yes—
1002(C2×D43)⋊C4C2412yes—
1003(C2×D43)⋊C4C2412yes—
1004(C2×D43)⋊C4C2412yes—
1005(C2×D43)⋊C4C2412yes—
1006(C2×D43)⋊C4C2412yes—
1007(C2×D43)⋊C4C2412yes—
1008(C2×D43)⋊C4C2414yes—
1009(C2×D43)⋊C4C2414yes—
1010(C2×D43)⋊C4C2412yes—
1011(C2×D43)⋊C4C2412yes—
1012(C2×D43)⋊C4C2414yes—
1013(C2×D43)⋊C4C2414yes—
1014(C2×D43)⋊C4C2412yes—
1015(C2×D43)⋊C4C2412yes—
1016(C2×D43)⋊C4C2414yes—
1017(C2×D43)⋊C4C2412yes—
1018(C2×D43)⋊C4C2412yes—
1019C4⋊Dic43C2411yescharacteristic
1020C4⋊Dic43C2414yes—
1021C4⋊Dic43C2412yes—
1022C4⋊Dic43C2412yes—
1023C4⋊Dic43C2412yes—
1024C4⋊Dic43C2411yescharacteristic
1025C4⋊Dic43C2412yes—
1026C4⋊Dic43C2414yes—
1027C4⋊Dic43C2411yescharacteristic
1028C4⋊Dic43C2412yes—
1029C4⋊Dic43C2414yes—
1030C4⋊Dic43C2412yes—
1031C4⋊Dic43C2412yes—
1032C4⋊Dic43C2414yes—
1033C4⋊Dic43C2414yes—
1034C4⋊Dic43C2412yes—
1035C4⋊Dic43C2411yescharacteristic
1036C4⋊Dic43C2412yes—
1037C4⋊Dic43C2414yes—
1038C4⋊Dic43C2414yes—
1039C4⋊Dic43C2412yes—
1040C4⋊Dic43C2412yes—
1041C4⋊Dic43C2414yes—
1042Dic43⋊C4C2414yes—
1043Dic43⋊C4C2414yes—
1044Dic43⋊C4C2414yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2412yes—
1047Dic43⋊C4C2412yes—
1048Dic43⋊C4C2412yes—
1049Dic43⋊C4C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2414yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2412yes—
1055Dic43⋊C4C2412yes—
1056Dic43⋊C4C2414yes—
1057Dic43⋊C4C2414yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2414yes—
1061Dic43⋊C4C2412yes—
1062Dic43⋊C4C2412yes—
1063Dic43⋊C4C2414yes—
1064Dic43⋊C4C2412yes—
1065Dic43⋊C4C2412yes—
1066Dic43⋊C4C2412yes—
1067Dic43⋊C4C2412yes—
1068Dic43⋊C4C2412yes—
1069Dic43⋊C4C2414yes—
1070Dic43⋊C4C2414yes—
1071Dic43⋊C4C2414yes—
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2411yescharacteristic
1076C4×Dic43C2411yescharacteristic
1077C4×Dic43C2411yescharacteristic
1078C4×Dic43C2411yescharacteristic
1079C4×Dic43C2411yescharacteristic
1080C4×Dic43C2411yescharacteristic
1081C4×Dic43C2411yescharacteristic
1082C4×Dic43C2411yescharacteristic
1083C4×Dic43C2411yescharacteristic
1084C4×Dic43C2412yes—
1085C4×Dic43C2412yes—
1086C4×Dic43C2412yes—
1087C4×Dic43C2414yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2412yes—
1090C4×Dic43C2412yes—
1091C4×Dic43C2414yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2414yes—
1094C4×Dic43C2414yes—
1095C4×Dic43C2414yes—
1096C4×Dic43C2414yes—
1097C23×C43C2514yes—
1098C23×C43C2512yes—
1099C23×C43C2511yescharacteristic
1100C22×D43—22no—
1101C22×D43—24no—
1102C22×D43—41no—
1103C22×D43—41no—
1104C22×D43—42no—
1105C22×D43—42no—
1106C22×D43—44no—
1107C22×D43—44no—
1108C22×D43—44no—
1109C22×D43C2512yes—
1110C22×D43C2512yes—
1111C22×D43C2511yescharacteristic
1112C22×D43C2511yescharacteristic
1113C22×D43C2512yes—
1114Q8×C43—22no—
1115Q8×C43—22no—
1116Q8×C43—22no—
1117Q8×C43—42no—
1118Q8×C43—44no—
1119Q8×C43—42no—
1120D4×C43—28no—
1121D4×C43—24no—
1122D4×C43—24no—
1123D4×C43—24no—
1124D4×C43—22no—
1125D4×C43—42no—
1126D4×C43—44no—
1127D4×C43—44no—
1128C2×C4×C43—22no—
1129C2×C4×C43—24no—
1130C2×C4×C43—22no—
1131C2×C4×C43—22no—
1132C2×C4×C43—24no—
1133C2×C4×C43—42no—
1134C2×C4×C43—44no—
1135C2×C4×C43—44no—
1136C2×C4×C43—44no—
1137C2×C4×C43—44no—
1138C2×C4×C43C2511yescharacteristic
1139C2×C4×C43C2512yes—
1140C2×C4×C43C2514yes—
1141C2×C4×C43C2512yes—
1142C2×C4×C43C2511yescharacteristic
1143C2×C4×C43C2511yescharacteristic
1144C2×C4×C43C2512yes—
1145C2×C4×C43C2511yescharacteristic
1146C2×C4×C43C2512yes—
1147C2×C4×C43C2512yes—
1148C2×C4×C43C2512yes—
1149C2×C4×C43C2512yes—
1150C2×C4×C43C2511yescharacteristic
1151C2×C4×C43C2511yescharacteristic
1152C22⋊D43—24no—
1153C22⋊D43—44no—
1154C22⋊D43—42no—
1155C22⋊D43—42no—
1156C22⋊D43—44no—
1157C22⋊D43—44no—
1158C22⋊D43—44no—
1159C22⋊D43—44no—
1160C22⋊D43—44no—
1161C22⋊D43—44no—
1162C22⋊D43—44no—
1163C22⋊D43—42no—
1164C22⋊D43—42no—
1165C2×Dic43—22no—
1166C2×Dic43—42no—
1167C2×Dic43—41no—
1168C2×Dic43—41no—
1169C2×Dic43—44no—
1170C2×Dic43—44no—
1171C2×Dic43—44no—
1172C2×Dic43—44no—
1173C2×Dic43—42no—
1174C2×Dic43—42no—
1175C2×Dic43C2511yescharacteristic
1176C2×Dic43C2511yescharacteristic
1177C2×Dic43C2511yescharacteristic
1178C2×Dic43C2511yescharacteristic
1179C2×Dic43C2512yes—
1180C2×Dic43C2512yes—
1181C2×Dic43C2511yescharacteristic
1182C2×Dic43C2514yes—
1183C2×Dic43C2511yescharacteristic
1184C2×Dic43C2512yes—
1185C2×Dic43C2514yes—
1186C2×Dic43C2512yes—
1187C2×Dic43C2512yes—
1188D172—22no—
1189D172—22no—
1190D172—22no—
1191D172—42no—
1192D172—42no—
1193D172—42no—
1194D172—42no—
1195D172—42no—
1196D172—42no—
1197D172—44no—
1198D172—42no—
1199C4×D43—22no—
1200C4×D43—24no—
1201C4×D43—22no—
1202C4×D43—22no—
1203C4×D43—24no—
1204C4×D43—22no—
1205C4×D43—24no—
1206C4×D43—42no—
1207C4×D43—41no—
1208C4×D43—41no—
1209C4×D43—41no—
1210C4×D43—41no—
1211C4×D43—41no—
1212C4×D43—41no—
1213C4×D43—42no—
1214C4×D43—41no—
1215C4×D43—41no—
1216C4×D43—44no—
1217C4×D43—44no—
1218C4×D43—42no—
1219C4×D43—44no—
1220C4×D43—44no—
1221C4×D43—42no—
1222Dic86—24no—
1223Dic86—22no—
1224Dic86—24no—
1225Dic86—42no—
1226Dic86—42no—
1227Dic86—44no—
1228Dic86—44no—
1229#62827—431nomaximal, Sylow
1230C22×C43—21no—
1231C22×C43—21no—
1232C22×C43—24no—
1233C22×C43—24no—
1234C22×C43—24no—
1235C22×C43—22no—
1236C22×C43—22no—
1237C22×C43—22no—
1238C22×C43#58512yes—
1239C22×C43C2611yescharacteristic
1240C2×D43—22no—
1241C2×D43—21no—
1242C2×D43—21no—
1243C2×D43—22no—
1244C2×D43—22no—
1245C2×D43—22no—
1246C2×D43—22no—
1247C2×D43—22no—
1248C2×D43—22no—
1249C2×D43—22no—
1250C2×D43—21no—
1251C2×D43—21no—
1252C2×D43—21no—
1253C2×D43—21no—
1254C2×D43—22no—
1255C2×D43—44no—
1256C2×D43—84no—
1257C2×D43—164no—
1258C4×C43—22no—
1259C4×C43—22no—
1260C4×C43—22no—
1261C4×C43—22no—
1262C4×C43—21no—
1263C4×C43—21no—
1264C4×C43—21no—
1265C4×C43—21no—
1266C4×C43—24no—
1267C4×C43—22no—
1268C4×C43—22no—
1269C4×C43—22no—
1270C4×C43#58512yes—
1271C4×C43#58512yes—
1272Dic43—24no—
1273Dic43—24no—
1274Dic43—22no—
1275Dic43—22no—
1276Dic43—22no—
1277Dic43—21no—
1278Dic43—21no—
1279Dic43—22no—
1280Dic43—21no—
1281Dic43—21no—
1282Dic43—21no—
1283Dic43—22no—
1284Dic43—21no—
1285#3566—434no—
1286#3566—434no—
1287#3565—432no—
1288#3562—432no—
1289#3555—431no—
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#3522D4311yescharacteristic, complemented
1300#3521—432no—
1301#3521—434no—
1302#3521—432no—
1303#3520—431no—
1304#3519—431no—
1305#3518—431no—
1306#3517—431no—
1307#3515—431no—
1308#3515—432no—
1309#3514—431no—
1310#3514—432no—
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—22no—
1321C2×C43—44no—
1322C2×C43—42no—
1323C2×C43C2×#58511yescharacteristic
1324C2×C43C2×#58511yescharacteristic
1325C2×C43C2×#58511yescharacteristic
1326D43—41no—
1327D43—41no—
1328D43—42no—
1329D43—42no—
1330D43—42no—
1331#563—434no—
1332#563—434no—
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—432no—
1342#559—434no—
1343#559C2×D4311yescharacteristic, complemented
1344#559C2×D4312yescomplemented
1345Q82C2×D4311yescharacteristic, complemented
1346#557—432no—
1347#557—431no—
1348#557—432no—
1349#557—431no—
1350#556—432no—
1351#556—432no—
1352#556—434no—
1353#556—434no—
1354#556—434no—
1355#556—432no—
1356#556—431no—
1357#556—432no—
1358#556—431no—
1359#556—432no—
1360#555—431no—
1361#555—432no—
1362#555—434no—
1363#555—434no—
1364#555—432no—
1365#555—432no—
1366#554—431no—
1367#554—432no—
1368#554—432no—
1369#554—434no—
1370#554C2×D4311yescharacteristic, complemented
1371#554C2×D4312yescomplemented
1372#553—434no—
1373#553—432no—
1374#553—434no—
1375#553—434no—
1376#553—432no—
1377#553—432no—
1378#553—434no—
1379#553—434no—
1380#553—434no—
1381#553—434no—
1382#553—434no—
1383#553—432no—
1384#553—432no—
1385#553—434no—
1386#553—432no—
1387#553—434no—
1388#552—434no—
1389#552—432no—
1390#552—432no—
1391#552—434no—
1392#552—434no—
1393#552—434no—
1394#552—434no—
1395#552—432no—
1396#552—432no—
1397#552—434no—
1398#552—434no—
1399#552—434no—
1400#552—432no—
1401#552—432no—
1402#552—434no—
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—432no—
1416#550—431no—
1417#550—432no—
1418#550C2×D4311yescharacteristic, complemented
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#548C2×D4312yescomplemented
1428#547—434no—
1429#547—432no—
1430#547—432no—
1431#547—432no—
1432#547—431no—
1433#547—431no—
1434#547C2×D4312yescomplemented
1435#547C2×D4314yescomplemented
1436#546—434no—
1437#546—432no—
1438#546—434no—
1439#546—432no—
1440#546—434no—
1441#546—432no—
1442#546—432no—
1443#546—432no—
1444#546—432no—
1445D42—431no—
1446D42—432no—
1447#544—432no—
1448#544—432no—
1449#542—432no—
1450#542—432no—
1451#542—434no—
1452#542—432no—
1453#542—432no—
1454#542—434no—
1455#542—434no—
1456#542—434no—
1457#542—434no—
1458#542—432no—
1459#542—432no—
1460#542—432no—
1461#542C2×D4312yescomplemented
1462#542C2×D4314yescomplemented
1463#541—434no—
1464#541—432no—
1465#541—434no—
1466#541—432no—
1467#541—432no—
1468#541—432no—
1469#541—434no—
1470#540—432no—
1471#540—434no—
1472#540—434no—
1473#540—434no—
1474#540—432no—
1475#540—432no—
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—432no—
1504#533—431no—
1505#533—431no—
1506#533—431no—
1507#533—431no—
1508#533—432no—
1509#532—432no—
1510#532—431no—
1511#532—431no—
1512#532—431no—
1513#532—431no—
1514#532—431no—
1515#532C2×D4311yescharacteristic
1516#532C2×D4312yescomplemented
1517#529—432no—
1518#529—432no—
1519#529—431no—
1520#529—431no—
1521#529—432no—
1522#529—432no—
1523#529—432no—
1524#529—434no—
1525#529—432no—
1526#529—434no—
1527#529—432no—
1528#529—432no—
1529#529—432no—
1530#529—431no—
1531#529—431no—
1532#529—431no—
1533#529—431no—
1534#529—431no—
1535#529—431no—
1536#529—432no—
1537#529—431no—
1538#529—431no—
1539#529—432no—
1540#529—432no—
1541#529—432no—
1542#529—432no—
1543#529—432no—
1544#529—432no—
1545#529—434no—
1546#529—432no—
1547#529—432no—
1548#529—431no—
1549#529—432no—
1550#529C2×D4311yescharacteristic, complemented
1551#529C2×D4312yescomplemented
1552C2×#126—432no—
1553C2×#126—434no—
1554C2×#125—431no—
1555C2×#125—432no—
1556C2×#124—431no—
1557C2×#124—432no—
1558#525—432no—
1559#525—432no—
1560#525—431no—
1561#525—432no—
1562#525—432no—
1563#525—431no—
1564#525—432no—
1565#525—432no—
1566#525—432no—
1567C2×#123—432no—
1568C2×C22⋊Q8—431no—
1569C2×C22⋊Q8—432no—
1570C2×#121—432no—
1571C2×#121—431no—
1572#520—434no—
1573#520—432no—
1574#520—432no—
1575#520—432no—
1576#520C2×D4312yescomplemented
1577#519—432no—
1578#519—432no—
1579#518—432no—
1580#518—434no—
1581#518—432no—
1582C4×#41—432no—
1583C4×#41—431no—
1584C4×#41—432no—
1585C4×#41—431no—
1586C4×#41—432no—
1587C4×#41—432no—
1588C4×#41—432no—
1589C2×C4×Q8C2×D4311yescharacteristic, complemented
1590C2×C4×D4—431no—
1591C2×C4×D4—432no—
1592C2×#117—432no—
1593C22×C42—431no—
1594C43#6282711yescharacteristic, complemented, Sylow
1595C2×#41—431no—
1596C2×#41—432no—
1597C2×#41—432no—
1598C2×#41—432no—
1599C2×#41—431no—
1600C2×#41—432no—
1601C2×#41—432no—
1602C2×#41—432no—
1603C2×#41—432no—
1604C2×#41C22×D4312yes—
1605C2×#41C22×D4314yes—
1606C2×#41C22×D4312yes—
1607C22×Q8—432no—
1608C22×Q8—432no—
1609C22×Q8C22×D4311yescharacteristic
1610C22×D4—434no—
1611C22×D4—432no—
1612C22×D4—432no—
1613C22×D4—432no—
1614C22×D4—431no—
1615C23×C4—432no—
1616C23×C4—431no—
1617C23×C4—431no—
1618C23×C4—431no—
1619C4⋊Q8—431no—
1620C4⋊Q8—432no—
1621C4⋊Q8—434no—
1622C4⋊Q8—434no—
1623C4⋊Q8—431no—
1624C4⋊Q8—431no—
1625C4⋊Q8—434no—
1626C4⋊Q8—431no—
1627C4⋊Q8—431no—
1628C4⋊Q8—432no—
1629C4⋊Q8—432no—
1630C4⋊Q8—432no—
1631C4⋊Q8C22×D4311yescharacteristic
1632C4⋊Q8C22×D4312yes—
1633C4⋊Q8C22×D4312yes—
1634C4⋊Q8C22×D4314yes—
1635#127—431no—
1636#127—432no—
1637#127—434no—
1638#127—434no—
1639#127C22×D4311yescharacteristic
1640#127C22×D4312yes—
1641#126—432no—
1642#126—432no—
1643#126—432no—
1644#126—432no—
1645#126—432no—
1646#126—432no—
1647#126—432no—
1648#126—432no—
1649#126—432no—
1650#126—434no—
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—434no—
1664#126—434no—
1665#126—432no—
1666#126—434no—
1667#126—434no—
1668#126—434no—
1669#126—434no—
1670#126—434no—
1671#126—434no—
1672#126—434no—
1673#126—432no—
1674#126—434no—
1675#126—434no—
1676#126—434no—
1677#126C22×D4312yes—
1678#126C22×D4314yes—
1679#125—431no—
1680#125—431no—
1681#125—432no—
1682#125—432no—
1683#125—432no—
1684#125—431no—
1685#125—431no—
1686#125—434no—
1687#125—434no—
1688#125—432no—
1689#125—432no—
1690#125—432no—
1691#125—432no—
1692#125—432no—
1693#125—434no—
1694#125—434no—
1695#125—434no—
1696#125—434no—
1697#125—434no—
1698#125—434no—
1699#125—434no—
1700#125—434no—
1701#125—434no—
1702#125—434no—
1703#125—432no—
1704#125—431no—
1705#125—432no—
1706#125—434no—
1707#125—434no—
1708#125C22×D4311yescharacteristic
1709#125C22×D4312yes—
1710#124—431no—
1711#124—431no—
1712#124—432no—
1713#124—431no—
1714#124—431no—
1715#124—432no—
1716#124—434no—
1717#124—434no—
1718#124—434no—
1719#124—434no—
1720#124—432no—
1721#124—432no—
1722#124—434no—
1723#124—434no—
1724#124—432no—
1725#124—432no—
1726#124—434no—
1727#124—434no—
1728#124—434no—
1729#124—434no—
1730#124—434no—
1731#124—434no—
1732#124—434no—
1733#124—432no—
1734#124—431no—
1735#124—432no—
1736#124—434no—
1737#124C22×D4312yes—
1738#124C22×D4312yes—
1739#124C22×D4311yescharacteristic
1740#124C22×D4312yes—
1741#124C22×D4314yes—
1742#124C22×D4314yes—
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—432no—
1747#123—434no—
1748#123—434no—
1749#123—434no—
1750#123—434no—
1751#123—434no—
1752#123—434no—
1753#123—432no—
1754#123—432no—
1755#123—432no—
1756#123—432no—
1757#123—432no—
1758#123—432no—
1759#123—432no—
1760#123—432no—
1761#123—432no—
1762#123—432no—
1763#123—434no—
1764#123—434no—
1765#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—432no—
1769#123—434no—
1770#123—432no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123—434no—
1775#123—434no—
1776#123—434no—
1777#123—434no—
1778#123—434no—
1779#123—434no—
1780#123—434no—
1781#123—434no—
1782#123—434no—
1783#123—434no—
1784#123—434no—
1785#123—434no—
1786#123—434no—
1787#123C22×D4312yes—
1788#123C22×D4314yes—
1789#123C22×D4314yes—
1790#123C22×D4314yes—
1791#123C22×D4314yes—
1792C22⋊Q8—431no—
1793C22⋊Q8—431no—
1794C22⋊Q8—432no—
1795C22⋊Q8—431no—
1796C22⋊Q8—431no—
1797C22⋊Q8—432no—
1798C22⋊Q8—432no—
1799C22⋊Q8—432no—
1800C22⋊Q8—431no—
1801C22⋊Q8—432no—
1802C22⋊Q8—432no—
1803C22⋊Q8—434no—
1804C22⋊Q8—434no—
1805C22⋊Q8—434no—
1806C22⋊Q8—434no—
1807C22⋊Q8—432no—
1808C22⋊Q8—431no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—434no—
1812C22⋊Q8—434no—
1813C22⋊Q8—434no—
1814C22⋊Q8—434no—
1815C22⋊Q8—432no—
1816C22⋊Q8—432no—
1817C22⋊Q8—432no—
1818C22⋊Q8—431no—
1819C22⋊Q8—432no—
1820C22⋊Q8—432no—
1821C22⋊Q8—432no—
1822C22⋊Q8—432no—
1823C22⋊Q8—432no—
1824C22⋊Q8—432no—
1825C22⋊Q8—434no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—434no—
1831C22⋊Q8—434no—
1832C22⋊Q8—432no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—434no—
1837C22⋊Q8—434no—
1838C22⋊Q8C22×D4311yescharacteristic
1839C22⋊Q8C22×D4312yes—
1840C22⋊Q8C22×D4314yes—
1841C22⋊Q8C22×D4314yes—
1842C22⋊Q8C22×D4314yes—
1843C22⋊Q8C22×D4314yes—
1844#121—434no—
1845#121—432no—
1846#121—432no—
1847#121—432no—
1848#121—432no—
1849#121—432no—
1850#121—431no—
1851#121—432no—
1852#121—432no—
1853#121—432no—
1854#121—432no—
1855#121—434no—
1856#121—434no—
1857#121—434no—
1858#121—434no—
1859#121—434no—
1860#121—434no—
1861#121—434no—
1862#121—434no—
1863#121—434no—
1864#121—431no—
1865#121—432no—
1866#121—434no—
1867#121—434no—
1868#121—434no—
1869#121—434no—
1870#121—434no—
1871#121—434no—
1872#121—434no—
1873#121—431no—
1874#121—431no—
1875#121—432no—
1876#121—431no—
1877#121—431no—
1878#121—432no—
1879#121—432no—
1880#121—431no—
1881#121—432no—
1882#121—434no—
1883#121—434no—
1884#121—434no—
1885#121—432no—
1886#121—432no—
1887#121—432no—
1888#121—434no—
1889#121—434no—
1890#121—434no—
1891#121—434no—
1892#121—434no—
1893#121—434no—
1894#121C22×D4312yes—
1895#121C22×D4311yescharacteristic
1896#121C22×D4312yes—
1897#121C22×D4312yes—
1898#121C22×D4314yes—
1899#121C22×D4314yes—
1900#120—434no—
1901#120—432no—
1902#120—434no—
1903#120—434no—
1904#120—434no—
1905#120—434no—
1906#120—434no—
1907#120—432no—
1908#120—434no—
1909#120—434no—
1910#120—434no—
1911C4×Q8—431no—
1912C4×Q8—432no—
1913C4×Q8—432no—
1914C4×Q8—432no—
1915C4×Q8—434no—
1916C4×Q8—434no—
1917C4×Q8—432no—
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—432no—
1928C4×Q8—431no—
1929C4×Q8—432no—
1930C4×Q8—434no—
1931C4×Q8—434no—
1932C4×Q8—432no—
1933C4×Q8—432no—
1934C4×Q8—432no—
1935C4×Q8—432no—
1936C4×Q8C22×D4311yescharacteristic
1937C4×Q8C22×D4311yescharacteristic
1938C4×Q8C22×D4312yes—
1939C4×Q8C22×D4311yescharacteristic
1940C4×Q8C22×D4311yescharacteristic
1941C4×Q8C22×D4312yes—
1942C4×Q8C22×D4311yescharacteristic
1943C4×Q8C22×D4312yes—
1944C4×Q8C22×D4312yes—
1945C4×D4—434no—
1946C4×D4—432no—
1947C4×D4—432no—
1948C4×D4—431no—
1949C4×D4—434no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—432no—
1953C4×D4—432no—
1954C4×D4—434no—
1955C4×D4—434no—
1956C4×D4—434no—
1957C4×D4—434no—
1958C4×D4—434no—
1959C4×D4—432no—
1960C4×D4—432no—
1961C4×D4—434no—
1962C4×D4—432no—
1963C4×D4—434no—
1964C4×D4—434no—
1965C4×D4—434no—
1966C4×D4—434no—
1967C4×D4—434no—
1968C4×D4—434no—
1969C4×D4—431no—
1970C4×D4—432no—
1971C4×D4—432no—
1972C4×D4—432no—
1973C4×D4—432no—
1974C4×D4—434no—
1975C4×D4—432no—
1976C4×D4—434no—
1977C4×D4—432no—
1978C4×D4—434no—
1979C4×D4—432no—
1980C4×D4—432no—
1981C4×D4—432no—
1982C4×D4—432no—
1983C4×D4—432no—
1984C4×D4—434no—
1985C4×D4—434no—
1986C4×D4—434no—
1987C4×D4—434no—
1988C4×D4—434no—
1989C4×D4—434no—
1990C4×D4—434no—
1991C4×D4—431no—
1992C4×D4—431no—
1993C4×D4—432no—
1994C4×D4—431no—
1995C4×D4—432no—
1996C4×D4—432no—
1997C4×D4—432no—
1998C4×D4—432no—
1999C4×D4—431no—
2000C4×D4—432no—
2001C4×D4—432no—
2002C4×D4—432no—
2003C4×D4—432no—
2004C4×D4—432no—
2005C4×D4—432no—
2006C4×D4—431no—
2007C4×D4—434no—
2008C4×D4—432no—
2009C4×D4—432no—
2010C4×D4C22×D4312yes—
2011C4×D4C22×D4312yes—
2012C4×D4C22×D4312yes—
2013C4×D4C22×D4311yescharacteristic
2014C4×D4C22×D4314yes—
2015C4×D4C22×D4312yes—
2016C4×D4C22×D4312yes—
2017C4×D4C22×D4312yes—
2018C4×D4C22×D4314yes—
2019C4×D4C22×D4312yes—
2020C4×D4C22×D4314yes—
2021#117—432no—
2022#117—434no—
2023#117—434no—
2024#117—434no—
2025#117—434no—
2026#117—431no—
2027#117—432no—
2028#117—432no—
2029#117—431no—
2030#117—432no—
2031#117—432no—
2032#117—432no—
2033#117—434no—
2034#117—432no—
2035#117—432no—
2036#117—434no—
2037#117—434no—
2038#117—432no—
2039#117—434no—
2040#117—432no—
2041#117—434no—
2042#117—434no—
2043#117—432no—
2044#117—432no—
2045#117—434no—
2046#117—434no—
2047#117—432no—
2048#117—432no—
2049#117—432no—
2050#117—432no—
2051#117—432no—
2052#117—432no—
2053#117—432no—
2054#117—432no—
2055#117—432no—
2056#117—432no—
2057#117—434no—
2058#117—434no—
2059#117—434no—
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—432no—
2067C2×C4⋊C4—434no—
2068C2×C4⋊C4—434no—
2069C2×C4⋊C4—434no—
2070C2×C4⋊C4—434no—
2071C2×C4⋊C4—432no—
2072C2×C4⋊C4—434no—
2073C2×C4⋊C4—432no—
2074C2×C4⋊C4C22×D4311yescharacteristic
2075C2×C4⋊C4C22×D4312yes—
2076C2×C4⋊C4C22×D4312yes—
2077C2×C4⋊C4C22×D4314yes—
2078C2×C22⋊C4—432no—
2079C2×C22⋊C4—432no—
2080C2×C22⋊C4—432no—
2081C2×C22⋊C4—432no—
2082C2×C22⋊C4—432no—
2083C2×C22⋊C4—434no—
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—432no—
2092C2×C42—434no—
2093C2×C42—431no—
2094C2×C42—431no—
2095C2×C42—432no—
2096C2×C42—431no—
2097C2×C42—431no—
2098C2×C42—431no—
2099C2×C42—431no—
2100C2×C42—431no—
2101C2×C42—431no—
2102C2×C42—431no—
2103C2×C42—431no—
2104C2×C42C22×D4312yes—
2105C2×C42C22×D4311yescharacteristic
2106C24—432no—
2107C24—431no—
2108C24—434no—
2109#41—44no—
2110#41—48no—
2111#41—44no—
2112#41—1724no—
2113#41—1724no—
2114#41—1724no—
2115#41—1724no—
2116#41—1724no—
2117#41—1724no—
2118#41—1724no—
2119#41—1722no—
2120#41—1722no—
2121C2×Q8—42no—
2122C2×Q8—432no—
2123C2×Q8—432no—
2124C2×Q8—431no—
2125C2×Q8—434no—
2126C2×Q8—432no—
2127C2×Q8—432no—
2128C2×Q8—434no—
2129C2×Q8—1724no—
2130C2×Q8—1724no—
2131C2×Q8C23×D4311yescharacteristic
2132C2×Q8C23×D4311yescharacteristic
2133C2×Q8C23×D4311yescharacteristic
2134C2×Q8C23×D4312yes—
2135C2×Q8C23×D4314yes—
2136C2×Q8C23×D4312yes—
2137C2×D4—432no—
2138C2×D4—434no—
2139C2×D4—432no—
2140C2×D4—432no—
2141C2×D4—434no—
2142C2×D4—434no—
2143C2×D4—434no—
2144C2×D4—434no—
2145C2×D4—434no—
2146C2×D4—434no—
2147C2×D4—432no—
2148C2×D4—432no—
2149C2×D4—434no—
2150C2×D4—431no—
2151C2×D4—431no—
2152C2×D4—431no—
2153C2×D4—432no—
2154C2×D4—432no—
2155C2×D4—432no—
2156C2×D4—432no—
2157C2×D4—432no—
2158C2×D4—434no—
2159C2×D4—432no—
2160C2×D4—432no—
2161C2×D4—1722no—
2162C2×D4—1724no—
2163C2×D4—1724no—
2164C2×D4—1724no—
2165C2×D4—1728no—
2166C2×D4C23×D4312yes—
2167C2×D4C23×D4314yes—
2168C2×D4C23×D4312yes—
2169C2×D4C23×D4312yes—
2170C2×D4C23×D4311yescharacteristic
2171C2×D4C23×D4312yes—
2172C2×D4C23×D4314yes—
2173C2×D4C23×D4314yes—
2174C22×C4—431no—
2175C22×C4—431no—
2176C22×C4—431no—
2177C22×C4—434no—
2178C22×C4—434no—
2179C22×C4—432no—
2180C22×C4—432no—
2181C22×C4—432no—
2182C22×C4—434no—
2183C22×C4—434no—
2184C22×C4—431no—
2185C22×C4—431no—
2186C22×C4—431no—
2187C22×C4—431no—
2188C22×C4—432no—
2189C22×C4—432no—
2190C22×C4—432no—
2191C22×C4—431no—
2192C22×C4—431no—
2193C22×C4—431no—
2194C22×C4—431no—
2195C22×C4—431no—
2196C22×C4—431no—
2197C22×C4—431no—
2198C22×C4—431no—
2199C22×C4—432no—
2200C22×C4—432no—
2201C22×C4—432no—
2202C22×C4—434no—
2203C22×C4—434no—
2204C22×C4—434no—
2205C22×C4—434no—
2206C22×C4—432no—
2207C22×C4—1722no—
2208C22×C4—1724no—
2209C22×C4—1722no—
2210C22×C4—1722no—
2211C22×C4C23×D4311yescharacteristic
2212C22×C4C23×D4311yescharacteristic
2213C22×C4C23×D4311yescharacteristic
2214C22×C4C23×D4312yes—
2215C22×C4C23×D4312yes—
2216C22×C4C23×D4314yes—
2217C22×C4C23×D4312yes—
2218C22×C4C23×D4314yes—
2219C22×C4C23×D4314yes—
2220C22×C4C23×D4314yes—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—431no—
2226C4⋊C4—432no—
2227C4⋊C4—431no—
2228C4⋊C4—432no—
2229C4⋊C4—434no—
2230C4⋊C4—434no—
2231C4⋊C4—434no—
2232C4⋊C4—434no—
2233C4⋊C4—432no—
2234C4⋊C4—432no—
2235C4⋊C4—431no—
2236C4⋊C4—432no—
2237C4⋊C4—432no—
2238C4⋊C4—434no—
2239C4⋊C4—434no—
2240C4⋊C4—434no—
2241C4⋊C4—432no—
2242C4⋊C4—432no—
2243C4⋊C4—432no—
2244C4⋊C4—432no—
2245C4⋊C4—432no—
2246C4⋊C4—432no—
2247C4⋊C4—432no—
2248C4⋊C4—434no—
2249C4⋊C4—434no—
2250C4⋊C4—434no—
2251C4⋊C4—434no—
2252C4⋊C4—434no—
2253C4⋊C4—432no—
2254C4⋊C4—431no—
2255C4⋊C4—432no—
2256C4⋊C4—434no—
2257C4⋊C4—432no—
2258C4⋊C4—432no—
2259C4⋊C4—434no—
2260C4⋊C4—432no—
2261C4⋊C4—432no—
2262C4⋊C4—432no—
2263C4⋊C4—434no—
2264C4⋊C4—434no—
2265C4⋊C4—432no—
2266C4⋊C4—432no—
2267C4⋊C4—432no—
2268C4⋊C4—434no—
2269C4⋊C4—432no—
2270C4⋊C4—432no—
2271C4⋊C4—434no—
2272C4⋊C4—434no—
2273C4⋊C4—434no—
2274C4⋊C4C23×D4311yescharacteristic
2275C4⋊C4C23×D4312yes—
2276C4⋊C4C23×D4312yes—
2277C4⋊C4C23×D4311yescharacteristic
2278C4⋊C4C23×D4312yes—
2279C4⋊C4C23×D4312yes—
2280C4⋊C4C23×D4314yes—
2281C4⋊C4C23×D4312yes—
2282C4⋊C4C23×D4311yescharacteristic
2283C4⋊C4C23×D4312yes—
2284C4⋊C4C23×D4314yes—
2285C4⋊C4C23×D4312yes—
2286C4⋊C4C23×D4312yes—
2287C4⋊C4C23×D4312yes—
2288C4⋊C4C23×D4311yescharacteristic
2289C4⋊C4C23×D4314yes—
2290C4⋊C4C23×D4312yes—
2291C4⋊C4C23×D4312yes—
2292C4⋊C4C23×D4314yes—
2293C22⋊C4—434no—
2294C22⋊C4—434no—
2295C22⋊C4—434no—
2296C22⋊C4—434no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—434no—
2301C22⋊C4—434no—
2302C22⋊C4—434no—
2303C22⋊C4—434no—
2304C22⋊C4—432no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—432no—
2308C22⋊C4—432no—
2309C22⋊C4—432no—
2310C22⋊C4—432no—
2311C22⋊C4—432no—
2312C22⋊C4—432no—
2313C22⋊C4—434no—
2314C22⋊C4—434no—
2315C22⋊C4—434no—
2316C22⋊C4—434no—
2317C22⋊C4—432no—
2318C22⋊C4—432no—
2319C22⋊C4—432no—
2320C22⋊C4—432no—
2321C22⋊C4—432no—
2322C22⋊C4—432no—
2323C22⋊C4—432no—
2324C22⋊C4—432no—
2325C22⋊C4—432no—
2326C22⋊C4—434no—
2327C22⋊C4—432no—
2328C22⋊C4—434no—
2329C22⋊C4—434no—
2330C22⋊C4—432no—
2331C22⋊C4—432no—
2332C22⋊C4—432no—
2333C22⋊C4—432no—
2334C22⋊C4—432no—
2335C22⋊C4—434no—
2336C22⋊C4—434no—
2337C22⋊C4—432no—
2338C22⋊C4—432no—
2339C22⋊C4—432no—
2340C22⋊C4—434no—
2341C22⋊C4—434no—
2342C22⋊C4—432no—
2343C22⋊C4—432no—
2344C22⋊C4—432no—
2345C22⋊C4—434no—
2346C22⋊C4C23×D4312yes—
2347C22⋊C4C23×D4314yes—
2348C22⋊C4C23×D4314yes—
2349C22⋊C4C23×D4314yes—
2350C22⋊C4C23×D4314yes—
2351C22⋊C4C23×D4314yes—
2352C22⋊C4C23×D4312yes—
2353C22⋊C4C23×D4312yes—
2354C22⋊C4C23×D4314yes—
2355C22⋊C4C23×D4312yes—
2356C22⋊C4C23×D4312yes—
2357C22⋊C4C23×D4314yes—
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—434no—
2373C42—434no—
2374C42—434no—
2375C42—432no—
2376C42—432no—
2377C42—432no—
2378C42—434no—
2379C42—434no—
2380C42—434no—
2381C42—434no—
2382C42—434no—
2383C42C23×D4311yescharacteristic
2384C42C23×D4311yescharacteristic
2385C42C23×D4311yescharacteristic
2386C42C23×D4311yescharacteristic
2387C42C23×D4312yes—
2388C42C23×D4312yes—
2389C42C23×D4312yes—
2390C42C23×D4312yes—
2391C42C23×D4312yes—
2392C42C23×D4314yes—
2393C23—432no—
2394C23—432no—
2395C23—431no—
2396C23—431no—
2397C23—432no—
2398C23—864no—
2399C23—862no—
2400C23—1722no—
2401C23—1722no—
2402C23—1721no—
2403C23—1721no—
2404C23—1724no—
2405C23—1724no—
2406C23—1724no—
2407C23C24×D4314yes—
2408C23C24×D4312yes—
2409C23C24×D4311yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—22no—
2413Q8—42no—
2414Q8—42no—
2415Q8—44no—
2416Q8—864no—
2417Q8—864no—
2418Q8—862no—
2419Q8—1724no—
2420Q8—1724no—
2421Q8—1722no—
2422Q8—1722no—
2423D4—28no—
2424D4—24no—
2425D4—24no—
2426D4—24no—
2427D4—22no—
2428D4—42no—
2429D4—44no—
2430D4—44no—
2431D4—864no—
2432D4—862no—
2433D4—862no—
2434D4—862no—
2435D4—1722no—
2436D4—1722no—
2437D4—1722no—
2438D4—1722no—
2439D4—1724no—
2440D4—1722no—
2441D4—1722no—
2442D4—1722no—
2443D4—1724no—
2444D4—1724no—
2445D4—1724no—
2446D4—1722no—
2447D4—1722no—
2448D4—1722no—
2449D4—1724no—
2450D4—1724no—
2451D4—1722no—
2452D4—1724no—
2453D4—1724no—
2454D4—1724no—
2455C2×C4—22no—
2456C2×C4—24no—
2457C2×C4—22no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—42no—
2461C2×C4—44no—
2462C2×C4—44no—
2463C2×C4—44no—
2464C2×C4—44no—
2465C2×C4—431no—
2466C2×C4—431no—
2467C2×C4—431no—
2468C2×C4—431no—
2469C2×C4—432no—
2470C2×C4—431no—
2471C2×C4—431no—
2472C2×C4—434no—
2473C2×C4—434no—
2474C2×C4—432no—
2475C2×C4—432no—
2476C2×C4—432no—
2477C2×C4—432no—
2478C2×C4—862no—
2479C2×C4—862no—
2480C2×C4—862no—
2481C2×C4—864no—
2482C2×C4—864no—
2483C2×C4—864no—
2484C2×C4—862no—
2485C2×C4—862no—
2486C2×C4—1721no—
2487C2×C4—1721no—
2488C2×C4—1721no—
2489C2×C4—1721no—
2490C2×C4—1721no—
2491C2×C4—1721no—
2492C2×C4—1721no—
2493C2×C4—1721no—
2494C2×C4—1722no—
2495C2×C4—1722no—
2496C2×C4—1724no—
2497C2×C4—1724no—
2498C2×C4—1724no—
2499C2×C4—1722no—
2500C2×C4—1724no—
2501C2×C4—1722no—
2502C2×C4—1721no—
2503C2×C4—1721no—
2504C2×C4—1722no—
2505C2×C4—1722no—
2506C2×C4—1724no—
2507C2×C4—1722no—
2508C2×C4—1724no—
2509C2×C4—1724no—
2510C2×C4—1724no—
2511C2×C4C24×D4311yescharacteristic
2512C2×C4C24×D4312yes—
2513C2×C4C24×D4312yes—
2514C2×C4C24×D4314yes—
2515C2×C4C24×D4311yescharacteristic
2516C2×C4C24×D4312yes—
2517C2×C4C24×D4311yescharacteristic
2518C2×C4C24×D4311yescharacteristic
2519C2×C4C24×D4312yes—
2520C2×C4C24×D4312yes—
2521C2×C4C24×D4312yes—
2522C2×C4C24×D4312yes—
2523C2×C4C24×D4311yescharacteristic
2524C2×C4C24×D4311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—24no—
2529C22—22no—
2530C22—24no—
2531C22—22no—
2532C22—24no—
2533C22—861no—
2534C22—861no—
2535C22—862no—
2536C22—862no—
2537C22—862no—
2538C22—862no—
2539C22—861no—
2540C22—861no—
2541C22—862no—
2542C22—862no—
2543C22—862no—
2544C22—861no—
2545C22—861no—
2546C22—862no—
2547C22—862no—
2548C22—3444no—
2549C22—1724no—
2550C22—6884no—
2551C22#1458373412yes—
2552C22C25×D4311yescharacteristic
2553C4—21no—
2554C4—22no—
2555C4—21no—
2556C4—22no—
2557C4—24no—
2558C4—22no—
2559C4—22no—
2560C4—21no—
2561C4—22no—
2562C4—22no—
2563C4—21no—
2564C4—22no—
2565C4—861no—
2566C4—861no—
2567C4—862no—
2568C4—861no—
2569C4—861no—
2570C4—862no—
2571C4—864no—
2572C4—861no—
2573C4—861no—
2574C4—862no—
2575C4—862no—
2576C4—862no—
2577C4—864no—
2578C4#1458373512yes—
2579C4#1458373612yes—
2580C2—22no—
2581C2—44no—
2582C2—42no—
2583C2—1722no—
2584C2—1722no—
2585C2—1721no—
2586C2—1721no—
2587C2—1722no—
2588C2C2×#1458373411yescharacteristic
2589C2C2×#1458373511yescharacteristic
2590C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3522C2
hypercenter#3522D43
hypocenterC43#62827
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #19149270C2semidirect
2. #19149266C2semidirect
3. #19149238C2semidirect
4. #19149181C2semidirect
5. #19149084C2semidirect
6. #19149054C2semidirect
7. #19148985C2semidirect
8. #19148955C2semidirect
9. #19148912C2semidirect
10. #19148874C2semidirect
11. #19148765C2semidirect
12. #19148702C2semidirect
13. #19148699C2semidirect
14. #19148691C2semidirect
15. #19148666C2semidirect
16. #19148665C2semidirect
17. #19148664C2semidirect
18. #19148646C2semidirect
19. #19148622C2semidirect
20. #19148613C2semidirect
21. #19148598C2semidirect
22. #19148574C2semidirect
23. #19148564C2semidirect
24. #19148555C2semidirect
25. #19148549C2semidirect
26. #19148512C2semidirect
27. #19148487C2semidirect
28. #19148444C2semidirect
29. #19148430C2semidirect
30. #19148335C2semidirect
31. #19148325C2semidirect
32. #19147890C2semidirect
33. #19147889C2semidirect
34. C2×#14583436C2semidirect
35. C43×#3522C2semidirect
36. #14583650C22semidirect
37. #14583648C22semidirect
38. #14583646C22semidirect
39. #14583645C22semidirect
40. #14583645C22semidirect
41. #14583643C22semidirect
42. #14583639C22semidirect
43. #14583637C22semidirect
44. #14583633C22semidirect
45. #14583631C22semidirect
46. #14583631C22semidirect
47. #14583631C22semidirect
48. #14583628C22semidirect
49. #14583627C22semidirect
50. #14583627C22semidirect
51. #14583624C22semidirect
52. #14583623C22semidirect
53. #14583623C22semidirect
54. #14583623C22semidirect
55. #14583622C22semidirect
56. #14583622C22semidirect
57. #14583622C22semidirect
58. #14583622C22semidirect
59. #14583621C22semidirect
60. #14583620C22semidirect
61. #14583616C22semidirect
62. #14583615C22semidirect
63. #14583615C22semidirect
64. #14583614C22semidirect
65. #14583614C22semidirect
66. #14583611C22semidirect
67. #14583611C22semidirect
68. #14583610C22semidirect
69. #14583608C22semidirect
70. #14583606C22semidirect
71. #14583606C22semidirect
72. #14583602C22semidirect
74. #14583601C22semidirect
75. #14583600C22semidirect
76. #14583599C22semidirect
77. #14583599C22semidirect
78. #14583598C22semidirect
79. #14583598C22semidirect
81. #14583597C22semidirect
82. #14583595C22semidirect
83. #14583595C22semidirect
84. #14583595C22semidirect
85. #14583593C22semidirect
86. #14583592C22semidirect
87. #14583592C22semidirect
88. #14583591C22semidirect
89. #14583591C22semidirect
90. #14583591C22semidirect
91. #14583590C22semidirect
92. #14583588C22semidirect
93. #14583587C22semidirect
94. #14583587C22semidirect
95. #14583586C22semidirect
96. #14583586C22semidirect
97. #14583585C22semidirect
98. #14583584C22semidirect
99. #14583584C22semidirect
100. #14583584C22semidirect
101. #14583584C22semidirect
102. #14583582C22semidirect
103. #14583579C22semidirect
104. #14583578C22semidirect
105. #14583578C22semidirect
106. #14583576C22semidirect
107. #14583576C22semidirect
108. #14583574C22semidirect
109. #14583573C22semidirect
110. #14583572C22semidirect
111. #14583572C22semidirect
112. #14583572C22semidirect
113. #14583572C22semidirect
114. #14583569C22semidirect
115. #14583569C22semidirect
116. #14583569C22semidirect
117. #14583567C22semidirect
118. Q8×D172C22semidirect
119. Q8×D172C22semidirect
120. Q8×C22⋊D43C22semidirect
121. #14583561C22semidirect
122. #14583559C22semidirect
123. #14583557C22semidirect
124. #14583557C22semidirect
125. #14583557C22semidirect
126. #14583554C22semidirect
127. #14583553C22semidirect
128. #14583553C22semidirect
129. #14583553C22semidirect
130. #14583548C22semidirect
131. #14583548C22semidirect
134. #14583544C22semidirect
135. #14583544C22semidirect
136. #14583542C22semidirect
137. #14583538C22semidirect
139. #14583537C22semidirect
140. #14583537C22semidirect
141. #14583534C22semidirect
143. #14583529C22semidirect
144. #14583526C22semidirect
146. #14583523C22semidirect
147. #14583523C22semidirect
148. #14583522C22semidirect
149. #14583520C22semidirect
150. #14583519C22semidirect
151. #14583519C22semidirect
152. #14583518C22semidirect
153. #14583518C22semidirect
154. #14583514C22semidirect
155. #14583514C22semidirect
156. #14583513C22semidirect
157. #14583512C22semidirect
158. #14583510C22semidirect
159. #14583509C22semidirect
160. #14583507C22semidirect
161. #14583507C22semidirect
162. #14583507C22semidirect
163. #14583507C22semidirect
164. #14583503C22semidirect
165. #14583501C22semidirect
166. #14583501C22semidirect
167. #14583500C22semidirect
168. #14583500C22semidirect
169. #14583500C22semidirect
170. #14583499C22semidirect
171. #14583498C22semidirect
172. #14583498C22semidirect
173. #14583496C22semidirect
174. #14583493C22semidirect
175. #14583493C22semidirect
176. #14583493C22semidirect
177. #14583490C22semidirect
178. #14583489C22semidirect
179. #14583486C22semidirect
180. #14583486C22semidirect
181. #14583486C22semidirect
182. #14583485C22semidirect
183. #14583483C22semidirect
184. #14583483C22semidirect
185. #14583482C22semidirect
186. #14583482C22semidirect
187. #14583480C22semidirect
188. #14583477C22semidirect
189. #14583472C22semidirect
190. #14583469C22semidirect
192. #14583463C22semidirect
193. #14583462C22semidirect
194. #14583460C22semidirect
195. #14583456C22semidirect
196. #14583456C22semidirect
197. #14583455C22semidirect
198. #14583454C22semidirect
199. #14583454C22semidirect
200. #14583454C22semidirect
201. #14583453C22semidirect
202. #14583451C22semidirect
203. #14583448C22semidirect
204. #14583447C22semidirect
205. #14583447C22semidirect
206. #14583446C22semidirect
207. #14583445C22semidirect
213. #14583436C22semidirect
214. #14583436C22semidirect
215. #14583436C22semidirect
216. #14583436C22semidirect
217. #14583436C22semidirect
218. #14583436C22semidirect
219. #14583436C22semidirect
220. #14583436C22semidirect
221. #14583436C22semidirect
222. #14583435C22semidirect
223. #14583435C22semidirect
224. #14583434C22semidirect
227. #14583432C22semidirect
228. #14583432C22semidirect
229. #14583431C22semidirect
230. #14583431C22semidirect
231. #14583431C22semidirect
232. #14583430C22semidirect
233. #14583430C22semidirect
234. #14583430C22semidirect
235. #14583429C22semidirect
236. #14583428C22semidirect
237. #14583428C22semidirect
238. #14583428C22semidirect
239. #14583427C22semidirect
240. #14583426C22semidirect
241. #14583426C22semidirect
242. C2×#13063320C22semidirect
243. C2×#13063320C22semidirect
244. C2×#13063316C22semidirect
245. C2×#13063316C22semidirect
247. #124×D43C22semidirect
250. #14583409C22semidirect
251. #14583409C22semidirect
252. #14583409C22semidirect
253. #14583409C22semidirect
254. #14583408C22semidirect
255. #14583407C22semidirect
256. #14583406C22semidirect
257. C2×#13063310C22semidirect
258. C2×#13063301C22semidirect
259. C22⋊Q8×D43C22semidirect
262. #14583382C22semidirect
263. #14583379C22semidirect
264. #14583378C22semidirect
265. #14583378C22semidirect
266. #14583375C22semidirect
267. #14583375C22semidirect
268. #14583371C22semidirect
269. #14583371C22semidirect
270. #14583371C22semidirect
271. #41×Dic43C22semidirect
272. C4×#10621902C22semidirect
273. #14583367C22semidirect
274. C4×#10621900C22semidirect
275. C4×#10621900C22semidirect
276. C4×#10621900C22semidirect
277. C4×#10621900C22semidirect
279. C2×C4×D172C22semidirect
280. C2×#13063282C22semidirect
281. C2×C42×D43C22semidirect
282. C43×#559C22semidirect
283. C43×#559C22semidirect
284. Q82×C43C22semidirect
285. C43×#554C22semidirect
286. C43×#554C22semidirect
287. C43×#550C22semidirect
288. C43×#548C22semidirect
289. C43×#547C22semidirect
290. C43×#547C22semidirect
291. C43×#542C22semidirect
292. C43×#542C22semidirect
294. C43×#532C22semidirect
295. C43×#529C22semidirect
296. C43×#529C22semidirect
297. C43×#520C22semidirect
298. C2×C4×Q8×C43C22semidirect
1299. #3522D43semidirect
1343. #559C2×D43semidirect
1344. #559C2×D43semidirect
1345. Q82C2×D43semidirect
1370. #554C2×D43semidirect
1371. #554C2×D43semidirect
1418. #550C2×D43semidirect
1427. #548C2×D43semidirect
1434. #547C2×D43semidirect
1435. #547C2×D43semidirect
1461. #542C2×D43semidirect
1462. #542C2×D43semidirect
1516. #532C2×D43semidirect
1550. #529C2×D43semidirect
1551. #529C2×D43semidirect
1576. #520C2×D43semidirect
1589. C2×C4×Q8C2×D43semidirect
1594. C43#62827semidirect

Maximal subgroups

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

subgroupindex
#191492702
#191492662
#191492382
#191491812
#191490842
#191490542
#191489852
#191489552
#191489122
#191488742
#191487652
#191487022
#191486992
#191486912
#191486662
#191486652
#191486642
#191486462
#191486222
#191486132
#191485982
#191485742
#191485642
#191485552
#191485492
#191485122
#191484872
#191484442
#191484302
#191483352
#191483252
#191478902
#191478892
C2×#145834362
C43×#35222
#6282743