Finite Group Databasebeta

← #26005350

Subgroups — #26005350

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#19149263C214yesmaximal, complemented
2#19149255C214yesmaximal, complemented
3#19149244C212yesmaximal, complemented
4#19149187C212yesmaximal, complemented
5#19149083C211yesmaximal, characteristic, complemented
6#19149066C211yesmaximal, characteristic, complemented
7#19148984C211yesmaximal, characteristic, complemented
8#19148967C211yesmaximal, characteristic, complemented
9#19148911C212yesmaximal, complemented
10#19148888C212yesmaximal, complemented
11#19148759C214yesmaximal, complemented
12#19148700C212yesmaximal, complemented
13#19148694C212yesmaximal, complemented
14#19148689C211yesmaximal, characteristic, complemented
15#19148678C211yesmaximal, characteristic, complemented
16#19148667C212yesmaximal, complemented
17#19148657C212yesmaximal, complemented
18#19148649C214yesmaximal, complemented
19#19148646C211yesmaximal, characteristic, complemented
20#19148629C211yesmaximal, characteristic, complemented
21#19148612C211yesmaximal, characteristic, complemented
22#19148601C211yesmaximal, characteristic, complemented
23#19148573C211yesmaximal, characteristic, complemented
24#19148573C212yesmaximal, complemented
25#19148556C212yesmaximal, complemented
26#19148556C211yesmaximal, characteristic, complemented
27#19148517C212yesmaximal, complemented
28#19148491C212yesmaximal, complemented
29#19148438C212yesmaximal, complemented
30#19148423C212yesmaximal, complemented
31#19148342C212yesmaximal, complemented
32#19148325C212yesmaximal, complemented
33#19147891C211yesmaximal, characteristic, complemented
34C2×#14583433C211yesmaximal, characteristic, complemented
35C43×#3444C211yesmaximal, characteristic, complemented
36#14583650C2214yescomplemented
37#14583650C2214yescomplemented
38#14583645C2214yescomplemented
39#14583645C2214yescomplemented
40#14583644C2214yescomplemented
41#14583644C2214yescomplemented
42#14583637C2214yescomplemented
43#14583637C2214yescomplemented
44#14583634C2211yescharacteristic, complemented
45#14583634C2212yescomplemented
46#14583633C2214yescomplemented
47#14583632C2214yescomplemented
48#14583632C2214yescomplemented
49#14583631C2212yescomplemented
50Q8×Dic86C2211yescharacteristic, complemented
51#14583628C2211yescharacteristic, complemented
52#14583627C2211yescharacteristic, complemented
53#14583627C2212yescomplemented
54#14583626C2212yescomplemented
55#14583622C2211yescharacteristic, complemented
56#14583622C2212yescomplemented
57#14583621C2214yescomplemented
58#14583621C2214yescomplemented
59#14583620C2212yescomplemented
60#14583619C2212yescomplemented
61#14583619C2211yescharacteristic, complemented
62#14583618C2212yescomplemented
63#14583617C2214yescomplemented
64#14583617C2212yescomplemented
65#14583614C2211yescharacteristic, complemented
66#14583614C2212yescomplemented
67#14583613C2212yescomplemented
68#14583612C2212yescomplemented
69#14583612C2214yescomplemented
70#14583611C2214yescomplemented
71#14583609C2212yescomplemented
72#14583609C2211yescharacteristic, complemented
73#14583606C2212yescomplemented
74#14583606C2211yescharacteristic, complemented
75#14583605C2212yescomplemented
76#14583603C2214yescomplemented
77#14583602C2212yescomplemented
78#14583599C2214yescomplemented
79#14583599C2214yescomplemented
80#14583598C2214yescomplemented
81#14583598C2214yescomplemented
82#14583598C2214yescomplemented
83#14583598C2214yescomplemented
84#14583596C2212yescomplemented
85#14583595C2212yes—
86#14583595C2212yes—
87#14583595C2212yescomplemented
88#14583594C2214yescomplemented
89#14583594C2214yescomplemented
90#14583593C2214yescomplemented
91#14583593C2212yescomplemented
92#14583592C2214yescomplemented
93#14583590C2214yescomplemented
94#14583590C2214yescomplemented
95#14583589C2212yescomplemented
96#14583589C2212yescomplemented
97#14583589C2212yescomplemented
98#14583588C2214yescomplemented
99#14583588C2212yescomplemented
100#14583587C2212yescomplemented
101#14583586C2214yescomplemented
102#14583583C2212yescomplemented
103#14583582C2214yescomplemented
104#14583582C2214yescomplemented
105#14583582C2214yescomplemented
106#14583581C2214yescomplemented
107#14583581C2214yescomplemented
108#14583579C2214yescomplemented
109#14583578C2214yescomplemented
110#14583578C2214yescomplemented
111#14583578C2214yescomplemented
112#14583578C2214yescomplemented
113#14583577C2214yescomplemented
114#14583576C2214yescomplemented
115#14583573C2214yescomplemented
116#14583573C2214yescomplemented
117#14583573C2214yescomplemented
118#14583572C2214yescomplemented
119#14583571C2211yescharacteristic, complemented
120#14583570C2212yescomplemented
121#14583570C2211yescharacteristic, complemented
122#14583568C2212yescomplemented
123#14583567C2212yescomplemented
124Q8×D172C2211yescharacteristic, complemented
125D4×Dic86C2212yescomplemented
126D4×Dic86C2211yescharacteristic, complemented
127#14583559C2212yescomplemented
128#14583558C2212yescomplemented
129#14583558C2212yescomplemented
130#14583558C2212yescomplemented
131#14583557C2212yescomplemented
132#14583556C2212yescomplemented
133#14583554C2212yescomplemented
134#14583554C2211yescharacteristic, complemented
135#14583553C2211yescharacteristic, complemented
136#14583553C2212yescomplemented
137#14583551C2212yescomplemented
138#14583548C2214yescomplemented
139#14583548C2212yescomplemented
140#14583547C2214yescomplemented
141#14583546C2212yescomplemented
142#14583545C2212yes—
143#14583545C2212yes—
144#14583545C2212yescomplemented
145#14583542C2212yescomplemented
146#14583541C2214yes—
147#14583538C2214yescomplemented
148#14583537C2214yescomplemented
149#14583537C2212yescomplemented
150D4×D172C2212yes—
151D4×D172C2211yescharacteristic, complemented
152#14583526C2212yescomplemented
153#14583526C2212yescomplemented
154#14583523C2212yescomplemented
155#14583523C2212yescomplemented
156#14583521C2212yescomplemented
157#14583521C2214yescomplemented
158#14583520C2212yes—
159#14583520C2212yescomplemented
160#14583520C2212yescomplemented
161#14583520C2212yescomplemented
162#14583519C2214yescomplemented
163#14583517C2214yescomplemented
164#14583515C2214yescomplemented
165#14583514C2212yescomplemented
166#14583514C2214yescomplemented
167#14583513C2214yescomplemented
168#14583511C2212yescomplemented
169#14583511C2212yescomplemented
170#14583510C2212yescomplemented
171#14583508C2214yescomplemented
172#14583507C2212yescomplemented
173#14583507C2214yescomplemented
174#14583506C2214yescomplemented
175#14583504C2212yescomplemented
176#14583504C2212yescomplemented
177#14583503C2212yescomplemented
178#14583501C2214yescomplemented
179#14583500C2212yescomplemented
180#14583500C2214yescomplemented
181#14583499C2214yescomplemented
182#14583497C2214yescomplemented
183#14583495C2214yescomplemented
184#14583492C2214yescomplemented
185#14583491C2214yescomplemented
186#14583491C2214yescomplemented
187#14583491C2214yescomplemented
188#14583490C2214yescomplemented
189#14583488C2214yescomplemented
190#14583485C2214yescomplemented
191#14583484C2214yescomplemented
192#14583484C2214yescomplemented
193#14583483C2214yescomplemented
194#14583482C2214yescomplemented
195#14583482C2214yescomplemented
196#14583482C2214yescomplemented
197#14583481C2214yescomplemented
198#14583477C2212yescomplemented
199#14583477C2212yescomplemented
200#14583474C2212yescomplemented
201#14583470C2212yescomplemented
202#14583464C2214yescomplemented
203#14583463C2212yes—
204#14583462C2212yescomplemented
205#14583459C2214yescomplemented
206#14583456C2211yescharacteristic, complemented
207#14583456C2211yescharacteristic, complemented
208#14583456C2212yescomplemented
209#14583456C2211yescharacteristic, complemented
210#14583451C2212yescomplemented
211#14583449C2211yescharacteristic
212#14583449C2211yescharacteristic, complemented
213#14583449C2211yescharacteristic, complemented
214#14583449C2212yescomplemented
215#14583444C2212yescomplemented
216#14583435C2212yescomplemented
217#14583433C2211yescharacteristic
218#14583433C2211yescharacteristic
219#14583433C2211yescharacteristic
220#14583433C2211yescharacteristic
221#14583433C2211yescharacteristic, complemented
222#14583433C2212yescomplemented
223#14583433C2212yescomplemented
224#14583433C2212yescomplemented
225#14583433C2212yescomplemented
226#14583433C2212yescomplemented
227#14583433C2212yescomplemented
228#14583433C2211yescharacteristic, complemented
229#14583433C2212yescomplemented
230#14583433C2212yescomplemented
231#14583433C2211yescharacteristic, complemented
232#14583433C2212yescomplemented
233#14583433C2212yescomplemented
234#14583433C2211yescharacteristic, complemented
235#14583433C2212yescomplemented
236#14583433C2212yescomplemented
237#14583433C2212yescomplemented
238#14583433C2212yescomplemented
239#14583432C2214yescomplemented
240#14583432C2214yescomplemented
241#14583432C2214yescomplemented
242#14583430C2212yes—
243C2×#13063319C2212yescomplemented
244#126×D43C2214yescomplemented
245C2×#13063317C2211yescharacteristic, complemented
246C2×#13063317C2212yescomplemented
247C2×#13063313C2211yescharacteristic
248C2×#13063313C2212yescomplemented
249#14583412C2212yes—
250#14583410C2212yescomplemented
251#14583410C2212yescomplemented
252#14583410C2212yescomplemented
253#14583409C2212yescomplemented
254C2×#13063308C2212yescomplemented
255C2×#13063304C2211yescharacteristic, complemented
256C22⋊Q8×D43C2212yescomplemented
257C2×#13063299C2211yescharacteristic
258#121×D43C2212yes—
259#14583381C2212yescomplemented
260#14583379C2212yescomplemented
261#14583379C2212yescomplemented
262#14583378C2212yescomplemented
263#14583378C2214yescomplemented
264#14583376C2212yescomplemented
265#14583375C2212yescomplemented
266#14583373C2212yescomplemented
267#14583371C2212yescomplemented
268#14583371C2214yescomplemented
269C4×#10621898C2212yescomplemented
270C4×#10621898C2212yescomplemented
271C4×#10621898C2212yescomplemented
272C2×C4×Dic86C2211yescharacteristic, complemented
273C2×C4×D172C2211yescharacteristic
274C2×C4×C22⋊D43C2212yescomplemented
275C2×#13063282C2212yescomplemented
276C43×#533C2211yescharacteristic, complemented
277C43×#533C2211yescharacteristic, complemented
278C43×#533C2211yescharacteristic, complemented
279C43×#532C2211yescharacteristic
280C43×#532C2211yescharacteristic, complemented
281C43×#532C2211yescharacteristic, complemented
282C43×#529C2211yescharacteristic
283C43×#529C2211yescharacteristic, complemented
284C43×#529C2212yescomplemented
285C43×#529C2211yescharacteristic, complemented
286C43×#529C2212yescomplemented
287C43×#529C2211yescharacteristic, complemented
288C43×#529C2212yescomplemented
289C43×#529C2212yescomplemented
290C43×#525C2211yescharacteristic
291C43×#525C2212yescomplemented
292C43×#525C2211yescharacteristic, complemented
293C43×#525C2212yescomplemented
294C4×#41×C43C2212yescomplemented
295C4×#41×C43C2211yescharacteristic, complemented
296C4×#41×C43C2211yescharacteristic, complemented
297C4×#41×C43C2212yescomplemented
298C22×C42×C43C2211yescharacteristic, complemented
299C2×#10621902C2312yes—
300C2×#10621898C2312yes—
301C2×#10621898C2312yes—
302C2×#10621898C2312yes—
303C2×#10621898C2312yes—
304C2×#10621898C2312yes—
305C2×#10621900C2312yes—
306C2×#10621900C2314yes—
307C22×Dic86C2311yescharacteristic
308C22×Dic86C2312yes—
309C2×Q8×D43C2312yes—
310C22×D172C2311yescharacteristic
311C22×D172C2312yes—
312C22×C22⋊D43C2312yes—
313C2×D4×D43C2314yes—
314C2×D4×D43C2312yes—
315C22×C4×D43C2312yes—
316#13063325C2311yescharacteristic
317#13063325C2312yes—
318#13063325C2311yescharacteristic
319#13063325C2312yes—
320#13063325C2312yes—
321#13063325C2311yescharacteristic
322#13063324C2312yes—
323#13063324C2314yes—
324#13063324C2312yes—
325#13063324C2314yes—
326#13063323C2314yes—
327#13063323C2314yes—
328#13063323C2312yes—
329#13063322C2311yescharacteristic
330#13063322C2312yes—
331#13063321C2312yes—
332#13063321C2314yes—
333#13063321C2314yes—
334#13063320C2314yes—
335#13063320C2314yes—
336#13063320C2314yes—
337#13063320C2314yes—
338#13063320C2314yes—
339#13063320C2314yes—
340#13063320C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063320C2314yes—
344#13063319C2314yes—
345#13063319C2312yes—
346#13063319C2312yes—
347#13063319C2314yes—
348#13063319C2314yes—
349#13063319C2314yes—
350#13063319C2312yes—
351#13063319C2314yes—
352#13063319C2312yes—
353#13063319C2312yes—
354#13063319C2312yes—
355#13063319C2312yes—
356#13063319C2312yes—
357#13063319C2314yes—
358#13063318C2314yes—
359#13063318C2314yes—
360#13063318C2314yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063317C2312yes—
369#13063317C2314yes—
370#13063317C2314yes—
371#13063317C2311yescharacteristic
372#13063317C2312yes—
373#13063317C2312yes—
374#13063317C2311yescharacteristic
375#13063317C2311yescharacteristic
376#13063317C2311yescharacteristic
377#13063317C2312yes—
378#13063317C2312yes—
379#13063317C2312yes—
380#13063317C2312yes—
381#13063316C2312yes—
382#13063316C2314yes—
383#13063316C2314yes—
384#13063316C2312yes—
385#13063315C2314yes—
386#13063315C2314yes—
387#13063315C2314yes—
388#13063315C2314yes—
389#13063315C2314yes—
390#13063315C2314yes—
391#13063315C2314yes—
392#13063315C2314yes—
393#13063315C2314yes—
394#13063315C2314yes—
395#13063314C2312yes—
396#13063314C2314yes—
397#13063314C2314yes—
398#13063313C2311yescharacteristic
399#13063313C2312yes—
400#13063313C2312yes—
401#13063313C2314yes—
402#13063313C2314yes—
403#13063313C2311yescharacteristic
404#13063313C2312yes—
405#13063313C2311yescharacteristic
406#13063313C2311yescharacteristic
407#13063313C2312yes—
408#13063313C2312yes—
409#13063313C2312yes—
410#13063313C2312yes—
411#13063312C2314yes—
412#13063312C2312yes—
413#13063312C2314yes—
414#13063311C2314yes—
415#13063311C2314yes—
416#13063311C2314yes—
417#13063311C2314yes—
418#13063311C2314yes—
419#13063311C2314yes—
420#13063311C2314yes—
421#13063311C2314yes—
422#13063311C2314yes—
423#13063311C2314yes—
424#13063310C2314yes—
425#13063310C2314yes—
426#13063310C2314yes—
427#13063310C2314yes—
428#13063310C2314yes—
429#13063310C2314yes—
430#13063310C2314yes—
431#13063310C2314yes—
432#13063310C2314yes—
433#13063310C2314yes—
434#13063309C2314yes—
435#13063309C2314yes—
436#13063309C2314yes—
437#13063308C2314yes—
438#13063308C2314yes—
439#13063308C2314yes—
440#13063308C2312yes—
441#13063308C2314yes—
442#13063308C2314yes—
443#13063308C2314yes—
444#13063308C2312yes—
445#13063308C2312yes—
446#13063308C2314yes—
447#13063308C2312yes—
448#13063308C2312yes—
449#13063308C2312yes—
450#13063308C2312yes—
451#13063308C2312yes—
452#13063307C2314yes—
453#13063307C2314yes—
454#13063307C2314yes—
455#13063307C2314yes—
456#13063307C2314yes—
457#13063307C2314yes—
458#13063307C2314yes—
459#13063307C2314yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063306C2314yes—
463#13063306C2314yes—
464#13063306C2314yes—
465#13063306C2314yes—
466#13063306C2314yes—
467#13063305C2312yes—
468#13063305C2314yes—
469#13063305C2314yes—
470#13063305C2312yes—
471#13063304C2312yes—
472#13063304C2311yescharacteristic
473#13063304C2314yes—
474#13063304C2312yes—
475#13063304C2311yescharacteristic
476#13063304C2312yes—
477#13063304C2312yes—
478#13063304C2312yes—
479#13063304C2312yes—
480#13063304C2314yes—
481#13063304C2312yes—
482#13063304C2312yes—
483#13063304C2312yes—
484#13063304C2311yescharacteristic
485#13063304C2311yescharacteristic
486#13063304C2312yes—
487#13063304C2312yes—
488#13063304C2312yes—
489#13063303C2314yes—
490#13063303C2314yes—
491#13063303C2314yes—
492#13063303C2314yes—
493#13063303C2314yes—
494#13063303C2314yes—
495#13063303C2314yes—
496#13063303C2314yes—
497#13063303C2314yes—
498#13063303C2314yes—
499#13063302C2314yes—
500#13063302C2314yes—
501#13063302C2314yes—
502#13063302C2314yes—
503#13063302C2314yes—
504#13063302C2314yes—
505#13063301C2312yes—
506#13063301C2314yes—
507#13063301C2314yes—
508#13063301C2314yes—
509#13063301C2314yes—
510#13063301C2312yes—
511#13063300C2312yes—
512#13063300C2312yes—
513#13063300C2314yes—
514#13063300C2314yes—
515#13063299C2312yes—
516#13063299C2312yes—
517#13063299C2312yes—
518#13063299C2312yes—
519#13063299C2312yes—
520#13063299C2314yes—
521#13063299C2312yes—
522#13063299C2311yescharacteristic
523#13063299C2311yescharacteristic
524#13063299C2314yes—
525#13063299C2312yes—
526#13063299C2312yes—
527#13063299C2312yes—
528#13063299C2311yescharacteristic
529#13063299C2311yescharacteristic
530#13063299C2312yes—
531#13063299C2312yes—
532#13063299C2312yes—
533#13063298C2314yes—
534#13063298C2314yes—
535#13063298C2314yes—
536#13063298C2314yes—
537#13063298C2314yes—
538#13063298C2314yes—
539#13063298C2314yes—
540#13063298C2314yes—
541#13063298C2314yes—
542#13063298C2314yes—
543#13063297C2314yes—
544#13063297C2314yes—
545#13063297C2314yes—
546#13063297C2314yes—
547#13063297C2314yes—
548#13063297C2314yes—
549#13063297C2314yes—
550#13063297C2314yes—
551#13063297C2314yes—
552#13063297C2314yes—
553#13063296C2312yes—
554#13063296C2314yes—
555#13063296C2314yes—
556#13063296C2312yes—
557#13063296C2314yes—
558#13063296C2314yes—
559#13063295C2314yes—
560#13063295C2314yes—
561#13063295C2314yes—
562#13063294C2314yes—
563#13063293C2314yes—
564#13063293C2314yes—
565#13063293C2314yes—
566#13063293C2314yes—
567#13063293C2314yes—
568Q8×Dic43C2312yes—
569Q8×Dic43C2312yes—
570C4×Dic86C2312yes—
571C4×Dic86C2312yes—
572C4×Dic86C2312yes—
573C4×Dic86C2312yes—
574C4×Dic86C2312yes—
575C4×Dic86C2311yescharacteristic
576C4×Dic86C2312yes—
577C4×Dic86C2311yescharacteristic
578C4×Dic86C2312yes—
579C4×Dic86C2314yes—
580C4×Dic86C2312yes—
581C4×Dic86C2314yes—
582C4×Dic86C2311yescharacteristic
583C4×Dic86C2311yescharacteristic
584C4×Dic86C2312yes—
585C4×Dic86C2312yes—
586C4×Dic86C2312yes—
587C4×Dic86C2312yes—
588#13063290C2312yes—
589#13063290C2312yes—
590#13063290C2314yes—
591#13063290C2314yes—
592#13063290C2314yes—
593#13063290C2314yes—
594C4×D172C2311yescharacteristic
595C4×D172C2312yes—
596C4×D172C2311yescharacteristic
597C4×D172C2312yes—
598C4×D172C2312yes—
599C4×D172C2312yes—
600C4×D172C2314yes—
601C4×D172C2312yes—
602C4×D172C2314yes—
603C4×D172C2312yes—
604C4×D172C2312yes—
605C4×D172C2312yes—
606C4×D172C2311yescharacteristic
607C4×D172C2311yescharacteristic
608C4×D172C2312yes—
609C4×D172C2312yes—
610C4×D172C2312yes—
611C4×D172C2312yes—
612D4×Dic43C2314yes—
613D4×Dic43C2312yes—
614D4×Dic43C2314yes—
615D4×Dic43C2312yes—
616#13063287C2314yes—
617#13063287C2314yes—
618#13063287C2312yes—
619#13063287C2314yes—
620#13063287C2314yes—
621#13063287C2312yes—
622C4×C22⋊D43C2312yes—
623C4×C22⋊D43C2314yes—
624C4×C22⋊D43C2312yes—
625C4×C22⋊D43C2312yes—
626C4×C22⋊D43C2314yes—
627C4×C22⋊D43C2314yes—
628C4×C22⋊D43C2312yes—
629C4×C22⋊D43C2314yes—
630C4×C22⋊D43C2312yes—
631C4×C22⋊D43C2314yes—
632C4×C22⋊D43C2314yes—
633C4×C22⋊D43C2314yes—
634C4×C22⋊D43C2312yes—
635C4×C22⋊D43C2312yes—
636C4×C22⋊D43C2312yes—
637C4×C22⋊D43C2314yes—
638C4×C22⋊D43C2314yes—
639C4×C22⋊D43C2314yes—
640(C22⋊D43)⋊C4C2314yes—
641(C22⋊D43)⋊C4C2314yes—
642(C22⋊D43)⋊C4C2314yes—
643(C22⋊D43)⋊C4C2314yes—
644(C22⋊D43)⋊C4C2314yes—
645(C22⋊D43)⋊C4C2314yes—
646(C22⋊D43)⋊C4C2314yes—
647(C22⋊D43)⋊C4C2314yes—
648(C22⋊D43)⋊C4C2314yes—
649(C22⋊D43)⋊C4C2314yes—
650#13063284C2312yes—
651#13063284C2312yes—
652#13063284C2312yes—
653#13063284C2312yes—
654#13063284C2312yes—
655#13063283C2314yes—
656#13063283C2314yes—
657#13063283C2314yes—
658#13063283C2314yes—
659#13063283C2312yes—
660#13063283C2312yes—
661#13063282C2314yes—
662#13063282C2314yes—
663#13063282C2314yes—
664#13063282C2312yes—
665#13063282C2314yes—
666#13063282C2314yes—
667#13063282C2314yes—
668#13063282C2312yes—
669#13063282C2314yes—
670#13063282C2312yes—
671#13063282C2312yes—
672#13063282C2312yes—
673#13063282C2312yes—
674#13063282C2312yes—
675#13063282C2312yes—
676#13063281C2314yes—
677#13063281C2314yes—
678#13063281C2314yes—
679#13063281C2314yes—
680#13063281C2314yes—
681C2×C4⋊Dic43C2311yescharacteristic
682C2×C4⋊Dic43C2312yes—
683C2×C4⋊Dic43C2312yes—
684C2×C4⋊Dic43C2311yescharacteristic
685C2×Dic43⋊C4C2312yes—
686C2×Dic43⋊C4C2314yes—
687C2×Dic43⋊C4C2314yes—
688C2×Dic43⋊C4C2312yes—
689C2×Dic43⋊C4C2312yes—
690C2×Dic43⋊C4C2312yes—
691C4⋊C4×D43C2314yes—
692C4⋊C4×D43C2312yes—
693C4⋊C4×D43C2314yes—
694C4⋊C4×D43C2312yes—
695C4⋊C4×D43C2314yes—
696C4⋊C4×D43C2314yes—
697C2×C22⋊Dic43C2312yes—
698C2×(C2×D43)⋊C4C2312yes—
699C2×(C2×D43)⋊C4C2312yes—
700C2×(C2×D43)⋊C4C2314yes—
701C2×(C2×D43)⋊C4C2314yes—
702C2×(C2×D43)⋊C4C2312yes—
703C2×(C2×D43)⋊C4C2312yes—
704C22⋊C4×D43C2314yes—
705C22⋊C4×D43C2314yes—
706C22⋊C4×D43C2314yes—
707C22⋊C4×D43C2314yes—
708C22⋊C4×D43C2314yes—
709C2×C4×Dic43C2312yes—
710C42×D43C2314yes—
711C2×#41×C43C2311yescharacteristic
712C2×#41×C43C2311yescharacteristic
713C2×#41×C43C2312yes—
714C2×#41×C43C2312yes—
715C23×C4×C43C2311yescharacteristic
716C23×C4×C43C2311yescharacteristic
717C23×C4×C43C2311yescharacteristic
718C4⋊Q8×C43C2311yescharacteristic
719C4⋊Q8×C43C2311yescharacteristic
720C4⋊Q8×C43C2311yescharacteristic
721#127×C43C2311yescharacteristic
722#126×C43C2312yes—
723#126×C43C2312yes—
724#126×C43C2312yes—
725#126×C43C2312yes—
726#125×C43C2312yes—
727#125×C43C2311yescharacteristic
728#125×C43C2311yescharacteristic
729#125×C43C2312yes—
730#124×C43C2311yescharacteristic
731#124×C43C2312yes—
732#124×C43C2311yescharacteristic
733#124×C43C2312yes—
734#123×C43C2312yes—
735#123×C43C2312yes—
736#123×C43C2312yes—
737#123×C43C2312yes—
738#123×C43C2312yes—
739#123×C43C2312yes—
740C22⋊Q8×C43C2311yescharacteristic
741C22⋊Q8×C43C2312yes—
742C22⋊Q8×C43C2311yescharacteristic
743C22⋊Q8×C43C2311yescharacteristic
744C22⋊Q8×C43C2311yescharacteristic
745C22⋊Q8×C43C2312yes—
746C22⋊Q8×C43C2312yes—
747C22⋊Q8×C43C2312yes—
748#121×C43C2311yescharacteristic
749#121×C43C2311yescharacteristic
750#121×C43C2311yescharacteristic
751#121×C43C2312yes—
752#121×C43C2311yescharacteristic
753#121×C43C2312yes—
754#121×C43C2312yes—
755#121×C43C2312yes—
756#120×C43C2312yes—
757#120×C43C2312yes—
758C4×Q8×C43C2311yescharacteristic
759C4×Q8×C43C2311yescharacteristic
760C4×Q8×C43C2312yes—
761C4×Q8×C43C2312yes—
762C4×Q8×C43C2312yes—
763C4×Q8×C43C2311yescharacteristic
764C4×Q8×C43C2311yescharacteristic
765C4×Q8×C43C2312yes—
766C4×D4×C43C2311yescharacteristic
767C4×D4×C43C2312yes—
768C4×D4×C43C2312yes—
769C4×D4×C43C2312yes—
770C4×D4×C43C2312yes—
771C4×D4×C43C2312yes—
772C4×D4×C43C2311yescharacteristic
773C4×D4×C43C2312yes—
774C4×D4×C43C2312yes—
775C4×D4×C43C2312yes—
776C4×D4×C43C2312yes—
777C4×D4×C43C2312yes—
778C4×D4×C43C2312yes—
779C4×D4×C43C2312yes—
780C4×D4×C43C2312yes—
781C4×D4×C43C2312yes—
782C4×D4×C43C2312yes—
783C4×D4×C43C2311yescharacteristic
784C4×D4×C43C2311yescharacteristic
785C4×D4×C43C2312yes—
786#117×C43C2312yes—
787#117×C43C2312yes—
788#117×C43C2312yes—
789#117×C43C2311yescharacteristic
790#117×C43C2311yescharacteristic
791#117×C43C2312yes—
792#117×C43C2312yes—
793#117×C43C2312yes—
794#117×C43C2312yes—
795#117×C43C2312yes—
796C2×C42×C43C2311yescharacteristic
797C2×C42×C43C2311yescharacteristic
798C2×C42×C43C2311yescharacteristic
799C2×C42×C43C2311yescharacteristic
800C2×C42×C43C2311yescharacteristic
801C2×C42×C43C2311yescharacteristic
802C2×C42×C43C2311yescharacteristic
803C2×C42×C43C2311yescharacteristic
804C2×C42×C43C2311yescharacteristic
805C2×C42×C43C2311yescharacteristic
806C2×C42×C43C2311yescharacteristic
807C2×C42×C43C2311yescharacteristic
808C2×C42×C43C2312yes—
809C2×C42×C43C2312yes—
810C24×C43C2411yescharacteristic
811C23×D43C2412yes—
812C23×D43C2414yes—
813#41×C43—44no—
814#41×C43—44no—
815#41×C43—42no—
816#41×C43—42no—
817C2×Q8×C43C2411yescharacteristic
818C2×Q8×C43C2411yescharacteristic
819C2×Q8×C43C2412yes—
820C2×Q8×C43C2412yes—
821C2×D4×C43C2412yes—
822C2×D4×C43C2412yes—
823C2×D4×C43C2411yescharacteristic
824C2×D4×C43C2411yescharacteristic
825C2×D4×C43C2412yes—
826C2×D4×C43C2412yes—
827C2×D4×C43C2412yes—
828C2×D4×C43C2412yes—
829C2×D4×C43C2412yes—
830C2×D4×C43C2412yes—
831C22×C4×C43—42no—
832C22×C4×C43—42no—
833C22×C4×C43—42no—
834C22×C4×C43C2411yescharacteristic
835C22×C4×C43C2411yescharacteristic
836C22×C4×C43C2411yescharacteristic
837C22×C4×C43C2411yescharacteristic
838C22×C4×C43C2411yescharacteristic
839C22×C4×C43C2411yescharacteristic
840C22×C4×C43C2411yescharacteristic
841C22×C4×C43C2411yescharacteristic
842C22×C4×C43C2412yes—
843C22×C4×C43C2412yes—
844C22×C4×C43C2411yescharacteristic
845C22×C4×C43C2411yescharacteristic
846C22×C4×C43C2411yescharacteristic
847C22×C4×C43C2411yescharacteristic
848C22×C4×C43C2411yescharacteristic
849C22×C4×C43C2411yescharacteristic
850C22×C4×C43C2411yescharacteristic
851C22×C4×C43C2411yescharacteristic
852C22×C4×C43C2411yescharacteristic
853C22×C4×C43C2411yescharacteristic
854C22×C4×C43C2412yes—
855C22×C4×C43C2412yes—
856C22×C4×C43C2412yes—
857C22×C4×C43C2412yes—
858C2×C22⋊D43—44no—
859C2×C22⋊D43C2414yes—
860C2×C22⋊D43C2414yes—
861C2×C22⋊D43C2414yes—
862C2×C22⋊D43C2414yes—
863C2×C22⋊D43C2414yes—
864C2×C22⋊D43C2414yes—
865C2×C22⋊D43C2414yes—
866C2×C22⋊D43C2412yes—
867C2×C22⋊D43C2412yes—
868C2×C22⋊D43C2414yes—
869C2×C22⋊D43C2414yes—
870C2×C22⋊D43C2412yes—
871C2×C22⋊D43C2412yes—
872C22×Dic43C2412yes—
873C22×Dic43C2412yes—
874C22×Dic43C2414yes—
875C22×Dic43C2412yes—
876C22×Dic43C2414yes—
877C22×Dic43C2414yes—
878#10621902—44no—
879Q8×D43—44no—
880#10621900—44no—
881#10621900—48no—
882D4×D43—48no—
883D4×D43—44no—
884#10621898—44no—
885#10621898—44no—
886#10621898—44no—
887#10621898—44no—
888#10621898—44no—
889C2×D172—42no—
890C2×D172—44no—
891C2×D172C2412yes—
892C2×D172C2411yescharacteristic
893C2×D172C2412yes—
894C2×D172C2411yescharacteristic
895C2×D172C2414yes—
896C2×D172C2414yes—
897C2×D172C2414yes—
898C2×D172C2412yes—
899C2×D172C2412yes—
900C2×C4×D43—44no—
901C2×C4×D43C2412yes—
902C2×C4×D43C2412yes—
903C2×C4×D43C2414yes—
904C2×C4×D43C2414yes—
905C2×C4×D43C2414yes—
906C2×C4×D43C2412yes—
907C2×C4×D43C2414yes—
908C2×C4×D43C2414yes—
909C2×C4×D43C2414yes—
910C2×C4×D43C2414yes—
911C2×C4×D43C2414yes—
912C2×C4×D43C2414yes—
913C2×C4×D43C2412yes—
914C2×Dic86—42no—
915C2×Dic86—44no—
916C2×Dic86C2412yes—
917C2×Dic86C2411yescharacteristic
918C2×Dic86C2412yes—
919C2×Dic86C2411yescharacteristic
920C2×Dic86C2414yes—
921C2×Dic86C2414yes—
922C2×Dic86C2414yes—
923C2×Dic86C2412yes—
924C2×Dic86C2412yes—
925C4⋊C4×C43C2411yescharacteristic
926C4⋊C4×C43C2411yescharacteristic
927C4⋊C4×C43C2411yescharacteristic
928C4⋊C4×C43C2411yescharacteristic
929C4⋊C4×C43C2412yes—
930C4⋊C4×C43C2412yes—
931C4⋊C4×C43C2412yes—
932C4⋊C4×C43C2412yes—
933C4⋊C4×C43C2412yes—
934C4⋊C4×C43C2412yes—
935C4⋊C4×C43C2412yes—
936C4⋊C4×C43C2412yes—
937C4⋊C4×C43C2412yes—
938C4⋊C4×C43C2412yes—
939C4⋊C4×C43C2412yes—
940C4⋊C4×C43C2412yes—
941C4⋊C4×C43C2412yes—
942C4⋊C4×C43C2412yes—
943C4⋊C4×C43C2412yes—
944C4⋊C4×C43C2412yes—
945C22⋊C4×C43C2412yes—
946C22⋊C4×C43C2412yes—
947C22⋊C4×C43C2412yes—
948C22⋊C4×C43C2412yes—
949C22⋊C4×C43C2412yes—
950C22⋊C4×C43C2412yes—
951C22⋊C4×C43C2412yes—
952C22⋊C4×C43C2412yes—
953C22⋊C4×C43C2412yes—
954C22⋊C4×C43C2412yes—
955C22⋊C4×C43C2412yes—
956C22⋊C4×C43C2412yes—
957C22⋊C4×C43C2412yes—
958C22⋊C4×C43C2412yes—
959C22⋊C4×C43C2412yes—
960C22⋊C4×C43C2412yes—
961C22⋊C4×C43C2412yes—
962C22⋊C4×C43C2412yes—
963C42×C43C2411yescharacteristic
964C42×C43C2411yescharacteristic
965C42×C43C2411yescharacteristic
966C42×C43C2411yescharacteristic
967C42×C43C2411yescharacteristic
968C42×C43C2411yescharacteristic
969C42×C43C2411yescharacteristic
970C42×C43C2411yescharacteristic
971C42×C43C2411yescharacteristic
972C42×C43C2411yescharacteristic
973C42×C43C2411yescharacteristic
974C42×C43C2411yescharacteristic
975C42×C43C2411yescharacteristic
976C42×C43C2411yescharacteristic
977C42×C43C2411yescharacteristic
978C42×C43C2411yescharacteristic
979C42×C43C2412yes—
980C42×C43C2412yes—
981C42×C43C2412yes—
982C42×C43C2412yes—
983C42×C43C2412yes—
984C42×C43C2412yes—
985C22⋊Dic43C2414yes—
986C22⋊Dic43C2414yes—
987C22⋊Dic43C2414yes—
988C22⋊Dic43C2414yes—
989C22⋊Dic43C2412yes—
990C22⋊Dic43C2412yes—
991C22⋊Dic43C2412yes—
992C22⋊Dic43C2412yes—
993C22⋊Dic43C2414yes—
994C22⋊Dic43C2414yes—
995C22⋊Dic43C2414yes—
996C22⋊Dic43C2414yes—
997C22⋊Dic43C2414yes—
998(C2×D43)⋊C4C2412yes—
999(C2×D43)⋊C4C2412yes—
1000(C2×D43)⋊C4C2412yes—
1001(C2×D43)⋊C4C2414yes—
1002(C2×D43)⋊C4C2414yes—
1003(C2×D43)⋊C4C2414yes—
1004(C2×D43)⋊C4C2414yes—
1005(C2×D43)⋊C4C2414yes—
1006(C2×D43)⋊C4C2414yes—
1007(C2×D43)⋊C4C2412yes—
1008(C2×D43)⋊C4C2412yes—
1009(C2×D43)⋊C4C2412yes—
1010(C2×D43)⋊C4C2412yes—
1011(C2×D43)⋊C4C2414yes—
1012(C2×D43)⋊C4C2414yes—
1013(C2×D43)⋊C4C2412yes—
1014(C2×D43)⋊C4C2412yes—
1015(C2×D43)⋊C4C2412yes—
1016(C2×D43)⋊C4C2412yes—
1017(C2×D43)⋊C4C2412yes—
1018(C2×D43)⋊C4C2412yes—
1019(C2×D43)⋊C4C2414yes—
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)⋊C4C2414yes—
1028(C2×D43)⋊C4C2414yes—
1029(C2×D43)⋊C4C2414yes—
1030(C2×D43)⋊C4C2414yes—
1031(C2×D43)⋊C4C2414yes—
1032C4⋊Dic43C2414yes—
1033C4⋊Dic43C2414yes—
1034C4⋊Dic43C2412yes—
1035C4⋊Dic43C2412yes—
1036C4⋊Dic43C2414yes—
1037C4⋊Dic43C2414yes—
1038C4⋊Dic43C2411yescharacteristic
1039C4⋊Dic43C2411yescharacteristic
1040C4⋊Dic43C2411yescharacteristic
1041C4⋊Dic43C2412yes—
1042C4⋊Dic43C2412yes—
1043C4⋊Dic43C2411yescharacteristic
1044C4⋊Dic43C2412yes—
1045C4⋊Dic43C2412yes—
1046C4⋊Dic43C2414yes—
1047C4⋊Dic43C2414yes—
1048C4⋊Dic43C2412yes—
1049C4⋊Dic43C2412yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2414yes—
1054Dic43⋊C4C2414yes—
1055Dic43⋊C4C2414yes—
1056Dic43⋊C4C2414yes—
1057Dic43⋊C4C2414yes—
1058Dic43⋊C4C2414yes—
1059Dic43⋊C4C2412yes—
1060Dic43⋊C4C2412yes—
1061Dic43⋊C4C2412yes—
1062Dic43⋊C4C2412yes—
1063Dic43⋊C4C2412yes—
1064Dic43⋊C4C2414yes—
1065Dic43⋊C4C2414yes—
1066Dic43⋊C4C2412yes—
1067Dic43⋊C4C2412yes—
1068Dic43⋊C4C2412yes—
1069Dic43⋊C4C2412yes—
1070Dic43⋊C4C2412yes—
1071Dic43⋊C4C2414yes—
1072Dic43⋊C4C2414yes—
1073Dic43⋊C4C2412yes—
1074Dic43⋊C4C2412yes—
1075Dic43⋊C4C2412yes—
1076Dic43⋊C4C2414yes—
1077Dic43⋊C4C2414yes—
1078Dic43⋊C4C2414yes—
1079Dic43⋊C4C2414yes—
1080Dic43⋊C4C2414yes—
1081Dic43⋊C4C2414yes—
1082Dic43⋊C4C2414yes—
1083Dic43⋊C4C2414yes—
1084C4×Dic43C2414yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2412yes—
1088C4×Dic43C2412yes—
1089C4×Dic43C2412yes—
1090C4×Dic43C2412yes—
1091C4×Dic43C2414yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2414yes—
1094C4×Dic43C2414yes—
1095C4×Dic43C2414yes—
1096C4×Dic43C2414yes—
1097C23×C43—22no—
1098C23×C43—41no—
1099C23×C43—41no—
1100C23×C43C2512yes—
1101C23×C43C2511yescharacteristic
1102C23×C43C2511yescharacteristic
1103C23×C43C2512yes—
1104C23×C43C2511yescharacteristic
1105C22×D43—24no—
1106C22×D43—42no—
1107C22×D43—42no—
1108C22×D43—44no—
1109C22×D43—44no—
1110C22×D43—44no—
1111C22×D43C2512yes—
1112C22×D43C2512yes—
1113C22×D43C2514yes—
1114Q8×C43—22no—
1115Q8×C43—22no—
1116Q8×C43—42no—
1117Q8×C43—42no—
1118D4×C43—24no—
1119D4×C43—24no—
1120D4×C43—22no—
1121D4×C43—22no—
1122D4×C43—42no—
1123D4×C43—42no—
1124D4×C43—42no—
1125D4×C43—42no—
1126D4×C43—42no—
1127D4×C43—42no—
1128C2×C4×C43—22no—
1129C2×C4×C43—22no—
1130C2×C4×C43—22no—
1131C2×C4×C43—24no—
1132C2×C4×C43—22no—
1133C2×C4×C43—22no—
1134C2×C4×C43—22no—
1135C2×C4×C43—24no—
1136C2×C4×C43—22no—
1137C2×C4×C43—22no—
1138C2×C4×C43—41no—
1139C2×C4×C43—41no—
1140C2×C4×C43—41no—
1141C2×C4×C43—41no—
1142C2×C4×C43—41no—
1143C2×C4×C43—41no—
1144C2×C4×C43—41no—
1145C2×C4×C43—41no—
1146C2×C4×C43—41no—
1147C2×C4×C43—41no—
1148C2×C4×C43—42no—
1149C2×C4×C43—42no—
1150C2×C4×C43—42no—
1151C2×C4×C43—42no—
1152C2×C4×C43C2511yescharacteristic
1153C2×C4×C43C2511yescharacteristic
1154C2×C4×C43C2511yescharacteristic
1155C2×C4×C43C2511yescharacteristic
1156C2×C4×C43C2512yes—
1157C2×C4×C43C2512yes—
1158C2×C4×C43C2512yes—
1159C2×C4×C43C2512yes—
1160C2×C4×C43C2512yes—
1161C2×C4×C43C2511yescharacteristic
1162C2×C4×C43C2511yescharacteristic
1163C2×C4×C43C2511yescharacteristic
1164C2×C4×C43C2511yescharacteristic
1165C2×C4×C43C2511yescharacteristic
1166C2×C4×C43C2511yescharacteristic
1167C2×C4×C43C2512yes—
1168C2×C4×C43C2511yescharacteristic
1169C2×C4×C43C2511yescharacteristic
1170C22⋊D43—28no—
1171C22⋊D43—44no—
1172C22⋊D43—44no—
1173C22⋊D43—44no—
1174C22⋊D43—44no—
1175C22⋊D43—44no—
1176C22⋊D43—44no—
1177C22⋊D43—44no—
1178C22⋊D43—44no—
1179C22⋊D43—42no—
1180C22⋊D43—42no—
1181C22⋊D43—42no—
1182C22⋊D43—42no—
1183C2×Dic43—24no—
1184C2×Dic43—42no—
1185C2×Dic43—44no—
1186C2×Dic43—42no—
1187C2×Dic43—44no—
1188C2×Dic43—44no—
1189C2×Dic43C2512yes—
1190C2×Dic43C2514yes—
1191C2×Dic43C2514yes—
1192C2×Dic43C2512yes—
1193C2×Dic43C2514yes—
1194C2×Dic43C2512yes—
1195C2×Dic43C2512yes—
1196C2×Dic43C2512yes—
1197C2×Dic43C2512yes—
1198D172—22no—
1199D172—22no—
1200D172—24no—
1201D172—24no—
1202D172—42no—
1203D172—44no—
1204D172—42no—
1205D172—44no—
1206D172—44no—
1207C4×D43—24no—
1208C4×D43—24no—
1209C4×D43—42no—
1210C4×D43—42no—
1211C4×D43—44no—
1212C4×D43—44no—
1213C4×D43—44no—
1214C4×D43—44no—
1215C4×D43—44no—
1216C4×D43—44no—
1217C4×D43—44no—
1218C4×D43—44no—
1219C4×D43—44no—
1220Dic86—22no—
1221Dic86—22no—
1222Dic86—24no—
1223Dic86—24no—
1224Dic86—42no—
1225Dic86—44no—
1226Dic86—42no—
1227Dic86—44no—
1228Dic86—44no—
1229#62827—431nomaximal, Sylow
1230C22×C43—21no—
1231C22×C43—21no—
1232C22×C43—22no—
1233C22×C43—22no—
1234C22×C43—22no—
1235C22×C43—21no—
1236C22×C43—21no—
1237C22×C43—21no—
1238C22×C43—21no—
1239C22×C43—21no—
1240C22×C43—21no—
1241C22×C43—22no—
1242C22×C43—22no—
1243C22×C43—22no—
1244C22×C43—44no—
1245C22×C43#58512yes—
1246C22×C43C2611yescharacteristic
1247C2×D43—22no—
1248C2×D43—22no—
1249C2×D43—22no—
1250C2×D43—22no—
1251C2×D43—22no—
1252C2×D43—22no—
1253C2×D43—24no—
1254C2×D43—24no—
1255C2×D43—24no—
1256C2×D43—84no—
1257C2×D43—164no—
1258C4×C43—22no—
1259C4×C43—22no—
1260C4×C43—21no—
1261C4×C43—21no—
1262C4×C43—22no—
1263C4×C43—21no—
1264C4×C43—21no—
1265C4×C43—21no—
1266C4×C43—21no—
1267C4×C43—22no—
1268C4×C43—22no—
1269C4×C43—22no—
1270C4×C43—21no—
1271C4×C43—21no—
1272C4×C43—21no—
1273C4×C43—21no—
1274C4×C43#58512yes—
1275C4×C43#58512yes—
1276Dic43—22no—
1277Dic43—22no—
1278Dic43—24no—
1279Dic43—24no—
1280Dic43—22no—
1281Dic43—24no—
1282Dic43—22no—
1283Dic43—22no—
1284Dic43—22no—
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#3522—431no—
1300#3521—434no—
1301#3521—432no—
1302#3521—432no—
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#3444D4311yescharacteristic, complemented
1319C2×#529—431no—
1320C2×C43—22no—
1321C2×C43—42no—
1322C2×C43—42no—
1323C2×C43—41no—
1324C2×C43—41no—
1325C2×C43C2×#58511yescharacteristic
1326C2×C43C2×#58511yescharacteristic
1327C2×C43C2×#58511yescharacteristic
1328D43—42no—
1329D43—42no—
1330D43—44no—
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—432no—
1340#559—434no—
1341#559—431no—
1342#559—432no—
1343#559—434no—
1344#559—434no—
1345Q82—431no—
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—431no—
1355#556—432no—
1356#556—432no—
1357#556—431no—
1358#556—432no—
1359#556—434no—
1360#555—434no—
1361#555—432no—
1362#555—431no—
1363#555—432no—
1364#555—432no—
1365#555—434no—
1366#554—432no—
1367#554—434no—
1368#554—431no—
1369#554—432no—
1370#554—432no—
1371#554—431no—
1372#553—432no—
1373#553—434no—
1374#553—434no—
1375#553—434no—
1376#553—432no—
1377#553—432no—
1378#553—432no—
1379#553—432no—
1380#553—434no—
1381#553—434no—
1382#553—434no—
1383#553—434no—
1384#553—434no—
1385#553—434no—
1386#553—432no—
1387#553—434no—
1388#552—434no—
1389#552—434no—
1390#552—432no—
1391#552—434no—
1392#552—432no—
1393#552—434no—
1394#552—434no—
1395#552—432no—
1396#552—432no—
1397#552—432no—
1398#552—434no—
1399#552—434no—
1400#552—434no—
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—431no—
1418#550—432no—
1419D4×Q8—431no—
1420D4×Q8—432no—
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—434no—
1431#547—432no—
1432#547—431no—
1433#547—432no—
1434#547—431no—
1435#547—432no—
1436#546—434no—
1437#546—432no—
1438#546—432no—
1439#546—434no—
1440#546—434no—
1441#546—432no—
1442#546—432no—
1443#546—432no—
1444#546—432no—
1445D42—432no—
1446D42—431no—
1447#544—432no—
1448#544—432no—
1449#542—432no—
1450#542—432no—
1451#542—434no—
1452#542—434no—
1453#542—434no—
1454#542—434no—
1455#542—432no—
1456#542—434no—
1457#542—432no—
1458#542—434no—
1459#542—432no—
1460#542—432no—
1461#542—432no—
1462#542—432no—
1463#541—432no—
1464#541—434no—
1465#541—434no—
1466#541—432no—
1467#541—434no—
1468#541—432no—
1469#541—432no—
1470#540—432no—
1471#540—434no—
1472#540—434no—
1473#540—432no—
1474#540—434no—
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—432no—
1498#535—432no—
1499#535—434no—
1500#534—434no—
1501#533—432no—
1502#533—431no—
1503#533—431no—
1504#533—431no—
1505#533—432no—
1506#533C2×D4311yescharacteristic, complemented
1507#533C2×D4311yescharacteristic, complemented
1508#533C2×D4311yescharacteristic, complemented
1509#532—432no—
1510#532—431no—
1511#532—431no—
1512#532—431no—
1513#532—432no—
1514#532C2×D4311yescharacteristic
1515#532C2×D4311yescharacteristic, complemented
1516#532C2×D4311yescharacteristic, complemented
1517#529—434no—
1518#529—434no—
1519#529—434no—
1520#529—432no—
1521#529—432no—
1522#529—431no—
1523#529—431no—
1524#529—431no—
1525#529—431no—
1526#529—431no—
1527#529—431no—
1528#529—432no—
1529#529—431no—
1530#529—431no—
1531#529—432no—
1532#529—432no—
1533#529—432no—
1534#529—432no—
1535#529—432no—
1536#529—432no—
1537#529—432no—
1538#529—432no—
1539#529—432no—
1540#529—432no—
1541#529—432no—
1542#529—432no—
1543#529—432no—
1544#529C2×D4311yescharacteristic
1545#529C2×D4311yescharacteristic, complemented
1546#529C2×D4312yescomplemented
1547#529C2×D4311yescharacteristic, complemented
1548#529C2×D4312yescomplemented
1549#529C2×D4311yescharacteristic, complemented
1550#529C2×D4312yescomplemented
1551#529C2×D4312yescomplemented
1552C2×#126—434no—
1553C2×#126—432no—
1554C2×#125—431no—
1555C2×#125—432no—
1556C2×#124—431no—
1557C2×#124—432no—
1558#525—432no—
1559#525—432no—
1560#525—432no—
1561#525—432no—
1562#525—432no—
1563#525C2×D4311yescharacteristic
1564#525C2×D4311yescharacteristic, complemented
1565#525C2×D4312yescomplemented
1566#525C2×D4312yescomplemented
1567C2×#123—432no—
1568C2×C22⋊Q8—431no—
1569C2×C22⋊Q8—432no—
1570C2×#121—431no—
1571C2×#121—432no—
1572#520—432no—
1573#520—432no—
1574#520—434no—
1575#520—432no—
1576#520—432no—
1577#519—432no—
1578#519—432no—
1579#518—432no—
1580#518—434no—
1581#518—432no—
1582C4×#41—432no—
1583C4×#41—432no—
1584C4×#41—432no—
1585C4×#41C2×D4312yescomplemented
1586C4×#41C2×D4312yescomplemented
1587C4×#41C2×D4311yescharacteristic, complemented
1588C4×#41C2×D4311yescharacteristic, complemented
1589C2×C4×Q8—431no—
1590C2×C4×D4—432no—
1591C2×C4×D4—431no—
1592C2×#117—432no—
1593C22×C42C2×D4311yescharacteristic, complemented
1594C43#6282711yescharacteristic, complemented, Sylow
1595C2×#41—432no—
1596C2×#41—432no—
1597C2×#41—434no—
1598C2×#41—432no—
1599C2×#41—432no—
1600C2×#41—432no—
1601C2×#41—432no—
1602C2×#41—432no—
1603C2×#41C22×D4311yescharacteristic
1604C2×#41C22×D4312yes—
1605C2×#41C22×D4312yes—
1606C2×#41C22×D4311yescharacteristic
1607C22×Q8—432no—
1608C22×Q8—431no—
1609C22×Q8—432no—
1610C22×D4—432no—
1611C22×D4—434no—
1612C22×D4—432no—
1613C22×D4—431no—
1614C22×D4—432no—
1615C23×C4—432no—
1616C23×C4C22×D4311yescharacteristic
1617C23×C4C22×D4311yescharacteristic
1618C23×C4C22×D4311yescharacteristic
1619C4⋊Q8—432no—
1620C4⋊Q8—434no—
1621C4⋊Q8—434no—
1622C4⋊Q8—432no—
1623C4⋊Q8—432no—
1624C4⋊Q8—434no—
1625C4⋊Q8—434no—
1626C4⋊Q8—431no—
1627C4⋊Q8—431no—
1628C4⋊Q8—431no—
1629C4⋊Q8—432no—
1630C4⋊Q8—432no—
1631C4⋊Q8—432no—
1632C4⋊Q8C22×D4311yescharacteristic
1633C4⋊Q8C22×D4311yescharacteristic
1634C4⋊Q8C22×D4311yescharacteristic
1635#127—432no—
1636#127—434no—
1637#127—434no—
1638#127—431no—
1639#127—432no—
1640#127C22×D4311yescharacteristic
1641#126—434no—
1642#126—434no—
1643#126—434no—
1644#126—434no—
1645#126—434no—
1646#126—434no—
1647#126—434no—
1648#126—434no—
1649#126—434no—
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—432no—
1662#126—432no—
1663#126—432no—
1664#126—432no—
1665#126—432no—
1666#126—432no—
1667#126—432no—
1668#126—432no—
1669#126—434no—
1670#126—434no—
1671#126—434no—
1672#126—434no—
1673#126—434no—
1674#126—434no—
1675#126C22×D4312yes—
1676#126C22×D4312yes—
1677#126C22×D4312yes—
1678#126C22×D4312yes—
1679#125—434no—
1680#125—434no—
1681#125—434no—
1682#125—432no—
1683#125—432no—
1684#125—434no—
1685#125—434no—
1686#125—434no—
1687#125—434no—
1688#125—434no—
1689#125—434no—
1690#125—434no—
1691#125—434no—
1692#125—434no—
1693#125—431no—
1694#125—431no—
1695#125—432no—
1696#125—432no—
1697#125—432no—
1698#125—431no—
1699#125—431no—
1700#125—434no—
1701#125—434no—
1702#125—432no—
1703#125—432no—
1704#125—432no—
1705#125—432no—
1706#125C22×D4311yescharacteristic
1707#125C22×D4312yes—
1708#125C22×D4312yes—
1709#125C22×D4311yescharacteristic
1710#124—432no—
1711#124—434no—
1712#124—434no—
1713#124—432no—
1714#124—434no—
1715#124—434no—
1716#124—434no—
1717#124—434no—
1718#124—434no—
1719#124—434no—
1720#124—434no—
1721#124—434no—
1722#124—434no—
1723#124—434no—
1724#124—434no—
1725#124—434no—
1726#124—431no—
1727#124—431no—
1728#124—432no—
1729#124—432no—
1730#124—431no—
1731#124—431no—
1732#124—432no—
1733#124—434no—
1734#124—434no—
1735#124—432no—
1736#124—432no—
1737#124—432no—
1738#124—432no—
1739#124C22×D4311yescharacteristic
1740#124C22×D4312yes—
1741#124C22×D4312yes—
1742#124C22×D4311yescharacteristic
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—434no—
1747#123—434no—
1748#123—432no—
1749#123—432no—
1750#123—432no—
1751#123—432no—
1752#123—432no—
1753#123—432no—
1754#123—432no—
1755#123—432no—
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—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#123C22×D4312yes—
1787#123C22×D4312yes—
1788#123C22×D4312yes—
1789#123C22×D4312yes—
1790#123C22×D4312yes—
1791#123C22×D4312yes—
1792C22⋊Q8—432no—
1793C22⋊Q8—432no—
1794C22⋊Q8—434no—
1795C22⋊Q8—434no—
1796C22⋊Q8—434no—
1797C22⋊Q8—434no—
1798C22⋊Q8—432no—
1799C22⋊Q8—431no—
1800C22⋊Q8—431no—
1801C22⋊Q8—432no—
1802C22⋊Q8—431no—
1803C22⋊Q8—431no—
1804C22⋊Q8—432no—
1805C22⋊Q8—432no—
1806C22⋊Q8—432no—
1807C22⋊Q8—432no—
1808C22⋊Q8—432no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—432no—
1812C22⋊Q8—432no—
1813C22⋊Q8—432no—
1814C22⋊Q8—434no—
1815C22⋊Q8—434no—
1816C22⋊Q8—434no—
1817C22⋊Q8—432no—
1818C22⋊Q8—432no—
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—434no—
1832C22⋊Q8—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8C22×D4311yescharacteristic
1837C22⋊Q8C22×D4311yescharacteristic
1838C22⋊Q8C22×D4311yescharacteristic
1839C22⋊Q8C22×D4312yes—
1840C22⋊Q8C22×D4311yescharacteristic
1841C22⋊Q8C22×D4312yes—
1842C22⋊Q8C22×D4312yes—
1843C22⋊Q8C22×D4312yes—
1844#121—434no—
1845#121—432no—
1846#121—432no—
1847#121—434no—
1848#121—434no—
1849#121—434no—
1850#121—434no—
1851#121—434no—
1852#121—434no—
1853#121—434no—
1854#121—434no—
1855#121—434no—
1856#121—434no—
1857#121—434no—
1858#121—434no—
1859#121—434no—
1860#121—432no—
1861#121—431no—
1862#121—431no—
1863#121—432no—
1864#121—431no—
1865#121—431no—
1866#121—432no—
1867#121—432no—
1868#121—432no—
1869#121—432no—
1870#121—432no—
1871#121—432no—
1872#121—432no—
1873#121—432no—
1874#121—432no—
1875#121—432no—
1876#121—434no—
1877#121—434no—
1878#121—432no—
1879#121—432no—
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—434no—
1889#121—434no—
1890#121—434no—
1891#121—434no—
1892#121C22×D4311yescharacteristic
1893#121C22×D4311yescharacteristic
1894#121C22×D4311yescharacteristic
1895#121C22×D4312yes—
1896#121C22×D4312yes—
1897#121C22×D4311yescharacteristic
1898#121C22×D4312yes—
1899#121C22×D4312yes—
1900#120—434no—
1901#120—434no—
1902#120—434no—
1903#120—434no—
1904#120—434no—
1905#120—434no—
1906#120—434no—
1907#120—434no—
1908#120—434no—
1909#120C22×D4312yes—
1910#120C22×D4312yes—
1911C4×Q8—432no—
1912C4×Q8—432no—
1913C4×Q8—434no—
1914C4×Q8—434no—
1915C4×Q8—434no—
1916C4×Q8—432no—
1917C4×Q8—434no—
1918C4×Q8—432no—
1919C4×Q8—431no—
1920C4×Q8—431no—
1921C4×Q8—432no—
1922C4×Q8—431no—
1923C4×Q8—431no—
1924C4×Q8—432no—
1925C4×Q8—432no—
1926C4×Q8—432no—
1927C4×Q8—432no—
1928C4×Q8—432no—
1929C4×Q8—432no—
1930C4×Q8—432no—
1931C4×Q8—432no—
1932C4×Q8—432no—
1933C4×Q8—434no—
1934C4×Q8—432no—
1935C4×Q8—432no—
1936C4×Q8—434no—
1937C4×Q8C22×D4311yescharacteristic
1938C4×Q8C22×D4311yescharacteristic
1939C4×Q8C22×D4311yescharacteristic
1940C4×Q8C22×D4312yes—
1941C4×Q8C22×D4311yescharacteristic
1942C4×Q8C22×D4312yes—
1943C4×Q8C22×D4312yes—
1944C4×Q8C22×D4312yes—
1945C4×D4—434no—
1946C4×D4—432no—
1947C4×D4—434no—
1948C4×D4—432no—
1949C4×D4—432no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—432no—
1953C4×D4—432no—
1954C4×D4—432no—
1955C4×D4—432no—
1956C4×D4—432no—
1957C4×D4—434no—
1958C4×D4—434no—
1959C4×D4—434no—
1960C4×D4—434no—
1961C4×D4—434no—
1962C4×D4—434no—
1963C4×D4—434no—
1964C4×D4—434no—
1965C4×D4—434no—
1966C4×D4—434no—
1967C4×D4—434no—
1968C4×D4—434no—
1969C4×D4—434no—
1970C4×D4—432no—
1971C4×D4—434no—
1972C4×D4—432no—
1973C4×D4—434no—
1974C4×D4—434no—
1975C4×D4—434no—
1976C4×D4—434no—
1977C4×D4—434no—
1978C4×D4—434no—
1979C4×D4—434no—
1980C4×D4—434no—
1981C4×D4—434no—
1982C4×D4—434no—
1983C4×D4—431no—
1984C4×D4—431no—
1985C4×D4—432no—
1986C4×D4—431no—
1987C4×D4—432no—
1988C4×D4—431no—
1989C4×D4—432no—
1990C4×D4—432no—
1991C4×D4—432no—
1992C4×D4—432no—
1993C4×D4—432no—
1994C4×D4—432no—
1995C4×D4—432no—
1996C4×D4—432no—
1997C4×D4—434no—
1998C4×D4—432no—
1999C4×D4—432no—
2000C4×D4—434no—
2001C4×D4C22×D4312yes—
2002C4×D4C22×D4311yescharacteristic
2003C4×D4C22×D4312yes—
2004C4×D4C22×D4311yescharacteristic
2005C4×D4C22×D4312yes—
2006C4×D4C22×D4312yes—
2007C4×D4C22×D4312yes—
2008C4×D4C22×D4312yes—
2009C4×D4C22×D4312yes—
2010C4×D4C22×D4312yes—
2011C4×D4C22×D4312yes—
2012C4×D4C22×D4312yes—
2013C4×D4C22×D4312yes—
2014C4×D4C22×D4312yes—
2015C4×D4C22×D4311yescharacteristic
2016C4×D4C22×D4312yes—
2017C4×D4C22×D4312yes—
2018C4×D4C22×D4312yes—
2019C4×D4C22×D4311yescharacteristic
2020C4×D4C22×D4312yes—
2021#117—432no—
2022#117—432no—
2023#117—432no—
2024#117—432no—
2025#117—432no—
2026#117—432no—
2027#117—434no—
2028#117—432no—
2029#117—434no—
2030#117—434no—
2031#117—434no—
2032#117—434no—
2033#117—434no—
2034#117—434no—
2035#117—434no—
2036#117—434no—
2037#117—432no—
2038#117—432no—
2039#117—432no—
2040#117—432no—
2041#117—432no—
2042#117—432no—
2043#117—432no—
2044#117—432no—
2045#117—434no—
2046#117—434no—
2047#117—434no—
2048#117—434no—
2049#117—434no—
2050#117—434no—
2051#117—434no—
2052#117C22×D4312yes—
2053#117C22×D4312yes—
2054#117C22×D4311yescharacteristic
2055#117C22×D4312yes—
2056#117C22×D4312yes—
2057#117C22×D4311yescharacteristic
2058#117C22×D4312yes—
2059#117C22×D4312yes—
2060#117C22×D4312yes—
2061#117C22×D4312yes—
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—432no—
2069C2×C4⋊C4—432no—
2070C2×C4⋊C4—434no—
2071C2×C4⋊C4—434no—
2072C2×C4⋊C4—432no—
2073C2×C4⋊C4—434no—
2074C2×C4⋊C4—432no—
2075C2×C4⋊C4—434no—
2076C2×C4⋊C4—434no—
2077C2×C4⋊C4—434no—
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—432no—
2091C2×C42—434no—
2092C2×C42C22×D4311yescharacteristic
2093C2×C42C22×D4311yescharacteristic
2094C2×C42C22×D4311yescharacteristic
2095C2×C42C22×D4311yescharacteristic
2096C2×C42C22×D4311yescharacteristic
2097C2×C42C22×D4312yes—
2098C2×C42C22×D4312yes—
2099C2×C42C22×D4311yescharacteristic
2100C2×C42C22×D4311yescharacteristic
2101C2×C42C22×D4311yescharacteristic
2102C2×C42C22×D4311yescharacteristic
2103C2×C42C22×D4311yescharacteristic
2104C2×C42C22×D4311yescharacteristic
2105C2×C42C22×D4311yescharacteristic
2106C24—432no—
2107C24—434no—
2108C24C23×D4311yescharacteristic
2109#41—44no—
2110#41—44no—
2111#41—42no—
2112#41—42no—
2113#41—1724no—
2114#41—1724no—
2115#41—1724no—
2116#41—1724no—
2117#41—1724no—
2118#41—1728no—
2119#41—1724no—
2120#41—1724no—
2121C2×Q8—431no—
2122C2×Q8—432no—
2123C2×Q8—431no—
2124C2×Q8—432no—
2125C2×Q8—434no—
2126C2×Q8—432no—
2127C2×Q8—432no—
2128C2×Q8—434no—
2129C2×Q8—434no—
2130C2×Q8—1722no—
2131C2×Q8—1724no—
2132C2×Q8—1724no—
2133C2×Q8C23×D4311yescharacteristic
2134C2×Q8C23×D4311yescharacteristic
2135C2×Q8C23×D4312yes—
2136C2×Q8C23×D4312yes—
2137C2×D4—434no—
2138C2×D4—434no—
2139C2×D4—432no—
2140C2×D4—434no—
2141C2×D4—434no—
2142C2×D4—432no—
2143C2×D4—434no—
2144C2×D4—434no—
2145C2×D4—434no—
2146C2×D4—434no—
2147C2×D4—434no—
2148C2×D4—432no—
2149C2×D4—432no—
2150C2×D4—431no—
2151C2×D4—432no—
2152C2×D4—431no—
2153C2×D4—432no—
2154C2×D4—432no—
2155C2×D4—432no—
2156C2×D4—434no—
2157C2×D4—434no—
2158C2×D4—434no—
2159C2×D4—1722no—
2160C2×D4—1724no—
2161C2×D4—1724no—
2162C2×D4—1724no—
2163C2×D4—1728no—
2164C2×D4C23×D4312yes—
2165C2×D4C23×D4312yes—
2166C2×D4C23×D4311yescharacteristic
2167C2×D4C23×D4311yescharacteristic
2168C2×D4C23×D4312yes—
2169C2×D4C23×D4312yes—
2170C2×D4C23×D4312yes—
2171C2×D4C23×D4312yes—
2172C2×D4C23×D4312yes—
2173C2×D4C23×D4312yes—
2174C22×C4—42no—
2175C22×C4—42no—
2176C22×C4—42no—
2177C22×C4—432no—
2178C22×C4—432no—
2179C22×C4—432no—
2180C22×C4—434no—
2181C22×C4—434no—
2182C22×C4—434no—
2183C22×C4—432no—
2184C22×C4—432no—
2185C22×C4—434no—
2186C22×C4—434no—
2187C22×C4—434no—
2188C22×C4—432no—
2189C22×C4—434no—
2190C22×C4—434no—
2191C22×C4—434no—
2192C22×C4—434no—
2193C22×C4—434no—
2194C22×C4—434no—
2195C22×C4—432no—
2196C22×C4—1724no—
2197C22×C4C23×D4311yescharacteristic
2198C22×C4C23×D4311yescharacteristic
2199C22×C4C23×D4311yescharacteristic
2200C22×C4C23×D4311yescharacteristic
2201C22×C4C23×D4311yescharacteristic
2202C22×C4C23×D4311yescharacteristic
2203C22×C4C23×D4311yescharacteristic
2204C22×C4C23×D4311yescharacteristic
2205C22×C4C23×D4312yes—
2206C22×C4C23×D4312yes—
2207C22×C4C23×D4311yescharacteristic
2208C22×C4C23×D4311yescharacteristic
2209C22×C4C23×D4311yescharacteristic
2210C22×C4C23×D4311yescharacteristic
2211C22×C4C23×D4311yescharacteristic
2212C22×C4C23×D4311yescharacteristic
2213C22×C4C23×D4311yescharacteristic
2214C22×C4C23×D4311yescharacteristic
2215C22×C4C23×D4311yescharacteristic
2216C22×C4C23×D4311yescharacteristic
2217C22×C4C23×D4312yes—
2218C22×C4C23×D4312yes—
2219C22×C4C23×D4312yes—
2220C22×C4C23×D4312yes—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—431no—
2226C4⋊C4—431no—
2227C4⋊C4—432no—
2228C4⋊C4—434no—
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—432no—
2239C4⋊C4—432no—
2240C4⋊C4—434no—
2241C4⋊C4—434no—
2242C4⋊C4—434no—
2243C4⋊C4—431no—
2244C4⋊C4—432no—
2245C4⋊C4—432no—
2246C4⋊C4—432no—
2247C4⋊C4—432no—
2248C4⋊C4—432no—
2249C4⋊C4—432no—
2250C4⋊C4—432no—
2251C4⋊C4—432no—
2252C4⋊C4—434no—
2253C4⋊C4—434no—
2254C4⋊C4—434no—
2255C4⋊C4—434no—
2256C4⋊C4—434no—
2257C4⋊C4—434no—
2258C4⋊C4—432no—
2259C4⋊C4—432no—
2260C4⋊C4—432no—
2261C4⋊C4—434no—
2262C4⋊C4—434no—
2263C4⋊C4—434no—
2264C4⋊C4—434no—
2265C4⋊C4—434no—
2266C4⋊C4—434no—
2267C4⋊C4—432no—
2268C4⋊C4—432no—
2269C4⋊C4—434no—
2270C4⋊C4—434no—
2271C4⋊C4—434no—
2272C4⋊C4—434no—
2273C4⋊C4C23×D4312yes—
2274C4⋊C4C23×D4312yes—
2275C4⋊C4C23×D4311yescharacteristic
2276C4⋊C4C23×D4312yes—
2277C4⋊C4C23×D4311yescharacteristic
2278C4⋊C4C23×D4312yes—
2279C4⋊C4C23×D4311yescharacteristic
2280C4⋊C4C23×D4312yes—
2281C4⋊C4C23×D4311yescharacteristic
2282C4⋊C4C23×D4312yes—
2283C4⋊C4C23×D4312yes—
2284C4⋊C4C23×D4312yes—
2285C4⋊C4C23×D4312yes—
2286C4⋊C4C23×D4312yes—
2287C4⋊C4C23×D4312yes—
2288C4⋊C4C23×D4312yes—
2289C4⋊C4C23×D4312yes—
2290C4⋊C4C23×D4312yes—
2291C4⋊C4C23×D4312yes—
2292C4⋊C4C23×D4312yes—
2293C22⋊C4—434no—
2294C22⋊C4—434no—
2295C22⋊C4—434no—
2296C22⋊C4—434no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—432no—
2301C22⋊C4—434no—
2302C22⋊C4—434no—
2303C22⋊C4—434no—
2304C22⋊C4—434no—
2305C22⋊C4—434no—
2306C22⋊C4—432no—
2307C22⋊C4—432no—
2308C22⋊C4—432no—
2309C22⋊C4—432no—
2310C22⋊C4—432no—
2311C22⋊C4—434no—
2312C22⋊C4—434no—
2313C22⋊C4—434no—
2314C22⋊C4—432no—
2315C22⋊C4—432no—
2316C22⋊C4—432no—
2317C22⋊C4—434no—
2318C22⋊C4—434no—
2319C22⋊C4—434no—
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—432no—
2330C22⋊C4—434no—
2331C22⋊C4—434no—
2332C22⋊C4—434no—
2333C22⋊C4—434no—
2334C22⋊C4—434no—
2335C22⋊C4—434no—
2336C22⋊C4—434no—
2337C22⋊C4—434no—
2338C22⋊C4—434no—
2339C22⋊C4—434no—
2340C22⋊C4C23×D4312yes—
2341C22⋊C4C23×D4312yes—
2342C22⋊C4C23×D4312yes—
2343C22⋊C4C23×D4312yes—
2344C22⋊C4C23×D4312yes—
2345C22⋊C4C23×D4312yes—
2346C22⋊C4C23×D4312yes—
2347C22⋊C4C23×D4312yes—
2348C22⋊C4C23×D4312yes—
2349C22⋊C4C23×D4312yes—
2350C22⋊C4C23×D4312yes—
2351C22⋊C4C23×D4312yes—
2352C22⋊C4C23×D4312yes—
2353C22⋊C4C23×D4312yes—
2354C22⋊C4C23×D4312yes—
2355C22⋊C4C23×D4312yes—
2356C22⋊C4C23×D4312yes—
2357C22⋊C4C23×D4312yes—
2358C42—432no—
2359C42—434no—
2360C42—434no—
2361C42—434no—
2362C42—432no—
2363C42—432no—
2364C42—432no—
2365C42—434no—
2366C42—434no—
2367C42—434no—
2368C42—434no—
2369C42—434no—
2370C42—434no—
2371C42C23×D4311yescharacteristic
2372C42C23×D4311yescharacteristic
2373C42C23×D4311yescharacteristic
2374C42C23×D4311yescharacteristic
2375C42C23×D4311yescharacteristic
2376C42C23×D4311yescharacteristic
2377C42C23×D4311yescharacteristic
2378C42C23×D4311yescharacteristic
2379C42C23×D4311yescharacteristic
2380C42C23×D4311yescharacteristic
2381C42C23×D4311yescharacteristic
2382C42C23×D4311yescharacteristic
2383C42C23×D4311yescharacteristic
2384C42C23×D4311yescharacteristic
2385C42C23×D4311yescharacteristic
2386C42C23×D4311yescharacteristic
2387C42C23×D4312yes—
2388C42C23×D4312yes—
2389C42C23×D4312yes—
2390C42C23×D4312yes—
2391C42C23×D4312yes—
2392C42C23×D4312yes—
2393C23—22no—
2394C23—41no—
2395C23—41no—
2396C23—432no—
2397C23—432no—
2398C23—434no—
2399C23—864no—
2400C23—1722no—
2401C23—1722no—
2402C23—1724no—
2403C23—1724no—
2404C23—1724no—
2405C23C24×D4312yes—
2406C23C24×D4311yescharacteristic
2407C23C24×D4311yescharacteristic
2408C23C24×D4312yes—
2409C23C24×D4311yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—42no—
2413Q8—42no—
2414Q8—862no—
2415Q8—862no—
2416Q8—864no—
2417Q8—864no—
2418Q8—1722no—
2419Q8—1724no—
2420Q8—1724no—
2421Q8—1722no—
2422Q8—1724no—
2423D4—24no—
2424D4—24no—
2425D4—22no—
2426D4—22no—
2427D4—42no—
2428D4—42no—
2429D4—42no—
2430D4—42no—
2431D4—42no—
2432D4—42no—
2433D4—868no—
2434D4—862no—
2435D4—862no—
2436D4—864no—
2437D4—864no—
2438D4—1722no—
2439D4—1724no—
2440D4—1724no—
2441D4—1722no—
2442D4—1724no—
2443D4—1722no—
2444D4—1722no—
2445D4—1724no—
2446D4—1722no—
2447D4—1722no—
2448D4—1724no—
2449D4—1724no—
2450D4—1724no—
2451D4—1724no—
2452D4—1724no—
2453D4—1724no—
2454D4—1724no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—22no—
2458C2×C4—22no—
2459C2×C4—22no—
2460C2×C4—22no—
2461C2×C4—22no—
2462C2×C4—22no—
2463C2×C4—24no—
2464C2×C4—24no—
2465C2×C4—41no—
2466C2×C4—41no—
2467C2×C4—41no—
2468C2×C4—41no—
2469C2×C4—41no—
2470C2×C4—41no—
2471C2×C4—41no—
2472C2×C4—41no—
2473C2×C4—41no—
2474C2×C4—41no—
2475C2×C4—42no—
2476C2×C4—42no—
2477C2×C4—42no—
2478C2×C4—42no—
2479C2×C4—432no—
2480C2×C4—432no—
2481C2×C4—434no—
2482C2×C4—432no—
2483C2×C4—434no—
2484C2×C4—434no—
2485C2×C4—432no—
2486C2×C4—432no—
2487C2×C4—432no—
2488C2×C4—864no—
2489C2×C4—864no—
2490C2×C4—864no—
2491C2×C4—1722no—
2492C2×C4—1722no—
2493C2×C4—1724no—
2494C2×C4—1724no—
2495C2×C4—1724no—
2496C2×C4—1724no—
2497C2×C4—1724no—
2498C2×C4—1724no—
2499C2×C4—1724no—
2500C2×C4—1724no—
2501C2×C4—1724no—
2502C2×C4—1722no—
2503C2×C4—1722no—
2504C2×C4—1724no—
2505C2×C4—1724no—
2506C2×C4—1724no—
2507C2×C4C24×D4311yescharacteristic
2508C2×C4C24×D4311yescharacteristic
2509C2×C4C24×D4311yescharacteristic
2510C2×C4C24×D4311yescharacteristic
2511C2×C4C24×D4312yes—
2512C2×C4C24×D4312yes—
2513C2×C4C24×D4312yes—
2514C2×C4C24×D4312yes—
2515C2×C4C24×D4312yes—
2516C2×C4C24×D4311yescharacteristic
2517C2×C4C24×D4311yescharacteristic
2518C2×C4C24×D4311yescharacteristic
2519C2×C4C24×D4311yescharacteristic
2520C2×C4C24×D4311yescharacteristic
2521C2×C4C24×D4311yescharacteristic
2522C2×C4C24×D4312yes—
2523C2×C4C24×D4311yescharacteristic
2524C2×C4C24×D4311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—21no—
2528C22—21no—
2529C22—21no—
2530C22—21no—
2531C22—22no—
2532C22—22no—
2533C22—21no—
2534C22—21no—
2535C22—22no—
2536C22—22no—
2537C22—22no—
2538C22—22no—
2539C22—44no—
2540C22—862no—
2541C22—862no—
2542C22—862no—
2543C22—864no—
2544C22—864no—
2545C22—864no—
2546C22—862no—
2547C22—862no—
2548C22—862no—
2549C22—3444no—
2550C22—6884no—
2551C22#1458373512yes—
2552C22C25×D4311yescharacteristic
2553C4—21no—
2554C4—21no—
2555C4—21no—
2556C4—21no—
2557C4—21no—
2558C4—21no—
2559C4—21no—
2560C4—21no—
2561C4—21no—
2562C4—21no—
2563C4—22no—
2564C4—22no—
2565C4—22no—
2566C4—22no—
2567C4—22no—
2568C4—22no—
2569C4—862no—
2570C4—862no—
2571C4—862no—
2572C4—862no—
2573C4—864no—
2574C4—864no—
2575C4—862no—
2576C4—864no—
2577C4—862no—
2578C4#1458373512yes—
2579C4#1458373512yes—
2580C2—22no—
2581C2—41no—
2582C2—41no—
2583C2—42no—
2584C2—42no—
2585C2—1722no—
2586C2—1722no—
2587C2—1724no—
2588C2C2×#1458373511yescharacteristic
2589C2C2×#1458373511yescharacteristic
2590C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3444C2
hypercenter#3444D43
hypocenterC43#62827
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #19149263C2semidirect
2. #19149255C2semidirect
3. #19149244C2semidirect
4. #19149187C2semidirect
5. #19149083C2semidirect
6. #19149066C2semidirect
7. #19148984C2semidirect
8. #19148967C2semidirect
9. #19148911C2semidirect
10. #19148888C2semidirect
11. #19148759C2semidirect
12. #19148700C2semidirect
13. #19148694C2semidirect
14. #19148689C2semidirect
15. #19148678C2semidirect
16. #19148667C2semidirect
17. #19148657C2semidirect
18. #19148649C2semidirect
19. #19148646C2semidirect
20. #19148629C2semidirect
21. #19148612C2semidirect
22. #19148601C2semidirect
23. #19148573C2semidirect
24. #19148573C2semidirect
25. #19148556C2semidirect
26. #19148556C2semidirect
27. #19148517C2semidirect
28. #19148491C2semidirect
29. #19148438C2semidirect
30. #19148423C2semidirect
31. #19148342C2semidirect
32. #19148325C2semidirect
33. #19147891C2semidirect
34. C2×#14583433C2semidirect
35. C43×#3444C2semidirect
36. #14583650C22semidirect
37. #14583650C22semidirect
38. #14583645C22semidirect
39. #14583645C22semidirect
40. #14583644C22semidirect
41. #14583644C22semidirect
42. #14583637C22semidirect
43. #14583637C22semidirect
44. #14583634C22semidirect
45. #14583634C22semidirect
46. #14583633C22semidirect
47. #14583632C22semidirect
48. #14583632C22semidirect
49. #14583631C22semidirect
50. Q8×Dic86C22semidirect
51. #14583628C22semidirect
52. #14583627C22semidirect
53. #14583627C22semidirect
54. #14583626C22semidirect
55. #14583622C22semidirect
56. #14583622C22semidirect
57. #14583621C22semidirect
58. #14583621C22semidirect
59. #14583620C22semidirect
60. #14583619C22semidirect
61. #14583619C22semidirect
62. #14583618C22semidirect
63. #14583617C22semidirect
64. #14583617C22semidirect
65. #14583614C22semidirect
66. #14583614C22semidirect
67. #14583613C22semidirect
68. #14583612C22semidirect
69. #14583612C22semidirect
70. #14583611C22semidirect
71. #14583609C22semidirect
72. #14583609C22semidirect
73. #14583606C22semidirect
74. #14583606C22semidirect
75. #14583605C22semidirect
76. #14583603C22semidirect
77. #14583602C22semidirect
78. #14583599C22semidirect
79. #14583599C22semidirect
80. #14583598C22semidirect
81. #14583598C22semidirect
82. #14583598C22semidirect
83. #14583598C22semidirect
84. #14583596C22semidirect
87. #14583595C22semidirect
88. #14583594C22semidirect
89. #14583594C22semidirect
90. #14583593C22semidirect
91. #14583593C22semidirect
92. #14583592C22semidirect
93. #14583590C22semidirect
94. #14583590C22semidirect
95. #14583589C22semidirect
96. #14583589C22semidirect
97. #14583589C22semidirect
98. #14583588C22semidirect
99. #14583588C22semidirect
100. #14583587C22semidirect
101. #14583586C22semidirect
102. #14583583C22semidirect
103. #14583582C22semidirect
104. #14583582C22semidirect
105. #14583582C22semidirect
106. #14583581C22semidirect
107. #14583581C22semidirect
108. #14583579C22semidirect
109. #14583578C22semidirect
110. #14583578C22semidirect
111. #14583578C22semidirect
112. #14583578C22semidirect
113. #14583577C22semidirect
114. #14583576C22semidirect
115. #14583573C22semidirect
116. #14583573C22semidirect
117. #14583573C22semidirect
118. #14583572C22semidirect
119. #14583571C22semidirect
120. #14583570C22semidirect
121. #14583570C22semidirect
122. #14583568C22semidirect
123. #14583567C22semidirect
124. Q8×D172C22semidirect
125. D4×Dic86C22semidirect
126. D4×Dic86C22semidirect
127. #14583559C22semidirect
128. #14583558C22semidirect
129. #14583558C22semidirect
130. #14583558C22semidirect
131. #14583557C22semidirect
132. #14583556C22semidirect
133. #14583554C22semidirect
134. #14583554C22semidirect
135. #14583553C22semidirect
136. #14583553C22semidirect
137. #14583551C22semidirect
138. #14583548C22semidirect
139. #14583548C22semidirect
140. #14583547C22semidirect
141. #14583546C22semidirect
144. #14583545C22semidirect
145. #14583542C22semidirect
147. #14583538C22semidirect
148. #14583537C22semidirect
149. #14583537C22semidirect
151. D4×D172C22semidirect
152. #14583526C22semidirect
153. #14583526C22semidirect
154. #14583523C22semidirect
155. #14583523C22semidirect
156. #14583521C22semidirect
157. #14583521C22semidirect
159. #14583520C22semidirect
160. #14583520C22semidirect
161. #14583520C22semidirect
162. #14583519C22semidirect
163. #14583517C22semidirect
164. #14583515C22semidirect
165. #14583514C22semidirect
166. #14583514C22semidirect
167. #14583513C22semidirect
168. #14583511C22semidirect
169. #14583511C22semidirect
170. #14583510C22semidirect
171. #14583508C22semidirect
172. #14583507C22semidirect
173. #14583507C22semidirect
174. #14583506C22semidirect
175. #14583504C22semidirect
176. #14583504C22semidirect
177. #14583503C22semidirect
178. #14583501C22semidirect
179. #14583500C22semidirect
180. #14583500C22semidirect
181. #14583499C22semidirect
182. #14583497C22semidirect
183. #14583495C22semidirect
184. #14583492C22semidirect
185. #14583491C22semidirect
186. #14583491C22semidirect
187. #14583491C22semidirect
188. #14583490C22semidirect
189. #14583488C22semidirect
190. #14583485C22semidirect
191. #14583484C22semidirect
192. #14583484C22semidirect
193. #14583483C22semidirect
194. #14583482C22semidirect
195. #14583482C22semidirect
196. #14583482C22semidirect
197. #14583481C22semidirect
198. #14583477C22semidirect
199. #14583477C22semidirect
200. #14583474C22semidirect
201. #14583470C22semidirect
202. #14583464C22semidirect
204. #14583462C22semidirect
205. #14583459C22semidirect
206. #14583456C22semidirect
207. #14583456C22semidirect
208. #14583456C22semidirect
209. #14583456C22semidirect
210. #14583451C22semidirect
212. #14583449C22semidirect
213. #14583449C22semidirect
214. #14583449C22semidirect
215. #14583444C22semidirect
216. #14583435C22semidirect
221. #14583433C22semidirect
222. #14583433C22semidirect
223. #14583433C22semidirect
224. #14583433C22semidirect
225. #14583433C22semidirect
226. #14583433C22semidirect
227. #14583433C22semidirect
228. #14583433C22semidirect
229. #14583433C22semidirect
230. #14583433C22semidirect
231. #14583433C22semidirect
232. #14583433C22semidirect
233. #14583433C22semidirect
234. #14583433C22semidirect
235. #14583433C22semidirect
236. #14583433C22semidirect
237. #14583433C22semidirect
238. #14583433C22semidirect
239. #14583432C22semidirect
240. #14583432C22semidirect
241. #14583432C22semidirect
243. C2×#13063319C22semidirect
244. #126×D43C22semidirect
245. C2×#13063317C22semidirect
246. C2×#13063317C22semidirect
248. C2×#13063313C22semidirect
250. #14583410C22semidirect
251. #14583410C22semidirect
252. #14583410C22semidirect
253. #14583409C22semidirect
254. C2×#13063308C22semidirect
255. C2×#13063304C22semidirect
256. C22⋊Q8×D43C22semidirect
259. #14583381C22semidirect
260. #14583379C22semidirect
261. #14583379C22semidirect
262. #14583378C22semidirect
263. #14583378C22semidirect
264. #14583376C22semidirect
265. #14583375C22semidirect
266. #14583373C22semidirect
267. #14583371C22semidirect
268. #14583371C22semidirect
269. C4×#10621898C22semidirect
270. C4×#10621898C22semidirect
271. C4×#10621898C22semidirect
272. C2×C4×Dic86C22semidirect
274. C2×C4×C22⋊D43C22semidirect
275. C2×#13063282C22semidirect
276. C43×#533C22semidirect
277. C43×#533C22semidirect
278. C43×#533C22semidirect
280. C43×#532C22semidirect
281. C43×#532C22semidirect
283. C43×#529C22semidirect
284. C43×#529C22semidirect
285. C43×#529C22semidirect
286. C43×#529C22semidirect
287. C43×#529C22semidirect
288. C43×#529C22semidirect
289. C43×#529C22semidirect
291. C43×#525C22semidirect
292. C43×#525C22semidirect
293. C43×#525C22semidirect
294. C4×#41×C43C22semidirect
295. C4×#41×C43C22semidirect
296. C4×#41×C43C22semidirect
297. C4×#41×C43C22semidirect
298. C22×C42×C43C22semidirect
1318. #3444D43semidirect
1506. #533C2×D43semidirect
1507. #533C2×D43semidirect
1508. #533C2×D43semidirect
1515. #532C2×D43semidirect
1516. #532C2×D43semidirect
1545. #529C2×D43semidirect
1546. #529C2×D43semidirect
1547. #529C2×D43semidirect
1548. #529C2×D43semidirect
1549. #529C2×D43semidirect
1550. #529C2×D43semidirect
1551. #529C2×D43semidirect
1564. #525C2×D43semidirect
1565. #525C2×D43semidirect
1566. #525C2×D43semidirect
1585. C4×#41C2×D43semidirect
1586. C4×#41C2×D43semidirect
1587. C4×#41C2×D43semidirect
1588. C4×#41C2×D43semidirect
1593. C22×C42C2×D43semidirect
1594. C43#62827semidirect

Maximal subgroups

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

subgroupindex
#191492632
#191492552
#191492442
#191491872
#191490832
#191490662
#191489842
#191489672
#191489112
#191488882
#191487592
#191487002
#191486942
#191486892
#191486782
#191486672
#191486572
#191486492
#191486462
#191486292
#191486122
#191486012
#191485732
#191485562
#191485172
#191484912
#191484382
#191484232
#191483422
#191483252
#191478912
C2×#145834332
C43×#34442
#6282743