Finite Group Databasebeta

← #26005399

Subgroups — #26005399

Order 11008.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149291C212yesmaximal, complemented
2#19149283C212yesmaximal, complemented
3#19149255C214yesmaximal, complemented
4#19149244C212yesmaximal, complemented
5#19149205C211yesmaximal, characteristic, complemented
6#19149187C212yesmaximal, complemented
7#19149160C211yesmaximal, characteristic, complemented
8#19149133C211yesmaximal, characteristic, complemented
9#19149118C211yesmaximal, characteristic, complemented
10#19149048C212yesmaximal, complemented
11#19148947C212yesmaximal, complemented
12#19148798C212yesmaximal, complemented
13#19148779C212yesmaximal, complemented
14#19148704C212yesmaximal, complemented
15#19148663C214yesmaximal, complemented
16#19148663C214yesmaximal, complemented
17#19148663C212yesmaximal, complemented
18#19148632C212yesmaximal, complemented
19#19148615C212yesmaximal, complemented
20#19148578C212yesmaximal, complemented
21#19148529C212yesmaximal, complemented
22#19148521C214yesmaximal, complemented
23#19148451C212yesmaximal, complemented
24#19148430C212yesmaximal, complemented
25#19148342C212yesmaximal, complemented
26#19148325C212yesmaximal, complemented
27#19148307C212yesmaximal, complemented
28#19148287C212yesmaximal, complemented
29C2×#14583433C211yesmaximal, characteristic, complemented
30C2×#14583433C211yesmaximal, characteristic, complemented
31C43×#3444C211yesmaximal, characteristic, complemented
32C43⋊#564C2212yescomplemented
33#14583653C2212yescomplemented
34#14583653C2212yescomplemented
35#14583650C2214yescomplemented
36#14583649C2212yescomplemented
37#14583647C2212yescomplemented
38#14583645C2214yescomplemented
39#14583644C2214yescomplemented
40#14583643C2212yescomplemented
41#14583643C2212yescomplemented
42#14583641C2212yescomplemented
43#14583637C2214yescomplemented
44#14583632C2212yescomplemented
45#14583632C2214yescomplemented
46#14583631C2212yescomplemented
47#14583626C2212yescomplemented
48#14583625C2212yescomplemented
49#14583621C2214yescomplemented
50#14583621C2214yescomplemented
51#14583621C2212yescomplemented
52#14583618C2212yescomplemented
53#14583617C2214yescomplemented
54#14583617C2212yescomplemented
55#14583617C2214yescomplemented
56#14583616C2214yescomplemented
57#14583612C2214yescomplemented
58#14583612C2212yescomplemented
59#14583611C2214yescomplemented
60#14583608C2214yescomplemented
61#14583608C2212yescomplemented
62#14583608C2214yescomplemented
63#14583607C2212yescomplemented
64#14583605C2212yescomplemented
65#14583603C2214yescomplemented
66#14583602C2212yescomplemented
67#14583601C2212yescomplemented
68#14583600C2214yescomplemented
69#14583599C2212yescomplemented
70#14583599C2214yescomplemented
71#14583598C2214yescomplemented
72#14583598C2214yescomplemented
73#14583598C2214yescomplemented
74#14583598C2214yescomplemented
75#14583598C2214yescomplemented
76#14583593C2212yescomplemented
77#14583593C2214yescomplemented
78#14583593C2214yescomplemented
79#14583592C2214yescomplemented
80#14583591C2212yescomplemented
81#14583590C2214yescomplemented
82#14583590C2212yescomplemented
83#14583590C2214yescomplemented
84#14583588C2212yescomplemented
85#14583588C2214yescomplemented
86#14583587C2212yescomplemented
87#14583585C2214yescomplemented
88#14583582C2214yescomplemented
89#14583582C2214yescomplemented
90#14583582C2214yescomplemented
91#14583582C2214yescomplemented
92#14583582C2214yescomplemented
93#14583581C2214yescomplemented
94#14583581C2214yescomplemented
95#14583580C2214yescomplemented
96#14583579C2214yescomplemented
97#14583578C2214yescomplemented
98#14583578C2214yescomplemented
99#14583578C2214yescomplemented
100#14583578C2214yescomplemented
101#14583578C2214yescomplemented
102#14583576C2214yescomplemented
103#14583574C2214yescomplemented
104#14583573C2214yescomplemented
105#14583573C2214yescomplemented
106#14583573C2214yescomplemented
107#14583573C2214yescomplemented
108#14583573C2214yescomplemented
109#14583568C2212yescomplemented
110#14583562C2212yescomplemented
111#14583561C2212yescomplemented
112#14583557C2212yescomplemented
113#14583556C2212yescomplemented
114#14583555C2212yescomplemented
115#14583549C2212yescomplemented
116#14583548C2214yescomplemented
117#14583548C2214yescomplemented
118#14583548C2212yescomplemented
119#14583544C2212yescomplemented
120#14583544C2214yescomplemented
121#14583544C2214yescomplemented
122#14583542C2212yescomplemented
123#14583540C2212yescomplemented
124#14583538C2214yescomplemented
125#14583537C2214yescomplemented
126#14583537C2214yescomplemented
127#14583537C2212yescomplemented
128#14583536C2214yescomplemented
129#14583536C2214yescomplemented
130#14583533C2212yescomplemented
131#14583531C2214yescomplemented
132#14583528C2212yescomplemented
133#14583526C2212yescomplemented
134#14583526C2212yescomplemented
135#14583524C2212yescomplemented
136#14583523C2212yescomplemented
137#14583523C2212yescomplemented
138#14583521C2212yescomplemented
139#14583521C2214yescomplemented
140#14583521C2214yescomplemented
141#14583519C2214yescomplemented
142#14583517C2214yescomplemented
143#14583515C2214yescomplemented
144#14583514C2212yescomplemented
145#14583514C2214yescomplemented
146#14583510C2212yescomplemented
147#14583507C2212yescomplemented
148#14583507C2214yescomplemented
149#14583507C2214yescomplemented
150#14583506C2214yescomplemented
151#14583503C2212yescomplemented
152#14583501C2214yescomplemented
153#14583500C2212yescomplemented
154#14583500C2214yescomplemented
155#14583499C2214yescomplemented
156#14583498C2212yes—
157#14583495C2214yescomplemented
158#14583494C2212yescomplemented
159#14583493C2214yescomplemented
160#14583493C2214yescomplemented
161#14583492C2214yescomplemented
162#14583491C2214yescomplemented
163#14583491C2214yescomplemented
164#14583491C2214yescomplemented
165#14583491C2214yescomplemented
166#14583491C2214yescomplemented
167#14583490C2214yescomplemented
168#14583489C2212yescomplemented
169#14583488C2214yescomplemented
170#14583486C2212yescomplemented
171#14583485C2214yescomplemented
172#14583482C2214yescomplemented
173#14583482C2214yescomplemented
174#14583482C2214yescomplemented
175#14583482C2214yescomplemented
176#14583482C2214yescomplemented
177#14583481C2214yescomplemented
178#14583476C2212yescomplemented
179#14583474C2212yescomplemented
180#14583471C2214yescomplemented
181#14583462C2212yescomplemented
182#14583460C2214yescomplemented
183#14583457C2212yes—
184#14583451C2212yescomplemented
185#14583444C2212yes—
186#14583435C2212yescomplemented
187#14583433C2211yescharacteristic
188#14583433C2211yescharacteristic
189#14583433C2211yescharacteristic, complemented
190#14583433C2212yescomplemented
191#14583433C2212yescomplemented
192#14583433C2211yescharacteristic, complemented
193#14583433C2212yescomplemented
194#14583433C2212yescomplemented
195#14583433C2211yescharacteristic, complemented
196#14583433C2212yescomplemented
197#14583433C2212yescomplemented
198#14583433C2212yescomplemented
199#14583433C2212yescomplemented
200#14583433C2212yescomplemented
201#14583433C2211yescharacteristic, complemented
202#14583433C2212yescomplemented
203#14583433C2212yescomplemented
204#14583433C2211yescharacteristic, complemented
205#14583433C2212yescomplemented
206#14583433C2211yescharacteristic, complemented
207#14583433C2214yescomplemented
208#14583433C2214yescomplemented
209#14583433C2214yescomplemented
210#14583430C2212yescomplemented
211#14583426C2214yescomplemented
212#14583426C2214yescomplemented
213C2×#13063319C2212yescomplemented
214C2×#13063319C2212yescomplemented
215C2×#13063319C2214yescomplemented
216C2×#13063317C2211yescharacteristic, complemented
217C2×#13063317C2211yescharacteristic, complemented
218C2×#13063313C2211yescharacteristic, complemented
219C2×#13063313C2211yescharacteristic, complemented
220#14583412C2212yes—
221#14583409C2212yescomplemented
222#14583407C2214yescomplemented
223C2×#13063308C2212yescomplemented
224C2×#13063308C2212yescomplemented
225#123×D43C2214yescomplemented
226C2×#13063304C2211yescharacteristic, complemented
227C2×#13063304C2211yescharacteristic, complemented
228C22⋊Q8×D43C2212yescomplemented
229C2×#13063299C2211yescharacteristic
230C2×#13063299C2211yescharacteristic
231#121×D43C2212yescomplemented
232#14583381C2212yescomplemented
233#14583378C2214yescomplemented
234#14583378C2212yescomplemented
235#14583378C2214yescomplemented
236#14583375C2212yescomplemented
237#14583371C2212yescomplemented
238#14583371C2214yescomplemented
239#14583371C2214yescomplemented
240C2×C4×Dic86C2211yescharacteristic, complemented
241C2×C4×Dic86C2211yescharacteristic, complemented
242C2×C4×D172C2211yescharacteristic, complemented
243C2×C4×D172C2211yescharacteristic, complemented
244C2×C4×C22⋊D43C2212yescomplemented
245C2×C4×C22⋊D43C2212yescomplemented
246C2×#13063282C2212yescomplemented
247C2×#13063282C2212yescomplemented
248C43×#533C2211yescharacteristic, complemented
249C43×#533C2211yescharacteristic, complemented
250C43×#533C2211yescharacteristic, complemented
251C43×#532C2211yescharacteristic, complemented
252C43×#532C2211yescharacteristic, complemented
253C43×#532C2211yescharacteristic, complemented
254C43×#529C2212yescomplemented
255C43×#529C2212yescomplemented
256C43×#529C2212yescomplemented
257C43×#529C2212yescomplemented
258C43×#529C2212yescomplemented
259C43×#529C2212yescomplemented
260C43×#525C2212yescomplemented
261C43×#525C2212yescomplemented
262C43×#525C2212yescomplemented
263C4×#41×C43C2212yescomplemented
264C4×#41×C43C2212yescomplemented
265C4×#41×C43C2212yescomplemented
266C22×C42×C43C2211yescharacteristic, complemented
267C2×#10621902C2312yes—
268C2×#10621900C2312yes—
269C2×#10621900C2314yes—
270C2×#10621900C2314yes—
271C22×Dic86C2311yescharacteristic
272C22×Dic86C2311yescharacteristic
273C2×Q8×D43C2312yes—
274C22×D172C2311yescharacteristic
275C22×D172C2311yescharacteristic
276C22×C22⋊D43C2312yes—
277C22×C22⋊D43C2312yes—
278C2×D4×D43C2314yes—
279C2×D4×D43C2312yes—
280C2×D4×D43C2314yes—
281C22×C4×D43C2312yes—
282C22×C4×D43C2312yes—
283#13063324C2314yes—
284#13063324C2312yes—
285#13063324C2312yes—
286#13063324C2314yes—
287#13063324C2314yes—
288#13063323C2312yes—
289#13063323C2314yes—
290#13063323C2314yes—
291#13063321C2312yes—
292#13063321C2314yes—
293#13063320C2314yes—
294#13063320C2314yes—
295#13063320C2314yes—
296#13063320C2314yes—
297#13063320C2314yes—
298#13063320C2314yes—
299#13063320C2314yes—
300#13063320C2314yes—
301#13063320C2314yes—
302#13063320C2314yes—
303#13063319C2312yes—
304#13063319C2314yes—
305#13063319C2314yes—
306#13063319C2314yes—
307#13063319C2314yes—
308#13063319C2312yes—
309#13063319C2314yes—
310#13063319C2314yes—
311#13063319C2314yes—
312#13063319C2312yes—
313#13063319C2314yes—
314#13063319C2312yes—
315#13063319C2312yes—
316#13063319C2314yes—
317#13063319C2312yes—
318#13063319C2312yes—
319#13063319C2314yes—
320#13063319C2312yes—
321#13063318C2314yes—
322#13063318C2314yes—
323#13063318C2314yes—
324#13063318C2314yes—
325#13063318C2314yes—
326#13063318C2314yes—
327#13063318C2314yes—
328#13063318C2314yes—
329#13063317C2311yescharacteristic
330#13063317C2314yes—
331#13063317C2314yes—
332#13063317C2311yescharacteristic
333#13063317C2314yes—
334#13063317C2312yes—
335#13063317C2311yescharacteristic
336#13063317C2312yes—
337#13063317C2311yescharacteristic
338#13063317C2312yes—
339#13063317C2312yes—
340#13063317C2312yes—
341#13063317C2312yes—
342#13063316C2314yes—
343#13063316C2314yes—
344#13063316C2312yes—
345#13063316C2314yes—
346#13063316C2312yes—
347#13063315C2314yes—
348#13063315C2314yes—
349#13063315C2314yes—
350#13063315C2314yes—
351#13063315C2314yes—
352#13063315C2314yes—
353#13063315C2314yes—
354#13063315C2314yes—
355#13063315C2314yes—
356#13063315C2314yes—
357#13063314C2314yes—
358#13063314C2314yes—
359#13063314C2312yes—
360#13063313C2314yes—
361#13063313C2312yes—
362#13063313C2311yescharacteristic
363#13063313C2314yes—
364#13063313C2311yescharacteristic
365#13063313C2314yes—
366#13063313C2311yescharacteristic
367#13063313C2312yes—
368#13063313C2311yescharacteristic
369#13063313C2312yes—
370#13063313C2312yes—
371#13063313C2312yes—
372#13063313C2312yes—
373#13063312C2312yes—
374#13063312C2314yes—
375#13063311C2314yes—
376#13063311C2314yes—
377#13063311C2314yes—
378#13063311C2314yes—
379#13063311C2314yes—
380#13063311C2314yes—
381#13063311C2314yes—
382#13063311C2314yes—
383#13063310C2314yes—
384#13063310C2314yes—
385#13063310C2314yes—
386#13063310C2314yes—
387#13063310C2314yes—
388#13063310C2314yes—
389#13063310C2314yes—
390#13063310C2314yes—
391#13063310C2314yes—
392#13063310C2314yes—
393#13063309C2314yes—
394#13063309C2314yes—
395#13063309C2314yes—
396#13063309C2314yes—
397#13063309C2314yes—
398#13063308C2312yes—
399#13063308C2314yes—
400#13063308C2314yes—
401#13063308C2314yes—
402#13063308C2314yes—
403#13063308C2312yes—
404#13063308C2312yes—
405#13063308C2314yes—
406#13063308C2314yes—
407#13063308C2314yes—
408#13063308C2312yes—
409#13063308C2314yes—
410#13063308C2312yes—
411#13063308C2312yes—
412#13063308C2314yes—
413#13063308C2312yes—
414#13063308C2314yes—
415#13063308C2312yes—
416#13063307C2314yes—
417#13063307C2314yes—
418#13063307C2314yes—
419#13063307C2314yes—
420#13063307C2314yes—
421#13063307C2314yes—
422#13063307C2314yes—
423#13063307C2314yes—
424#13063306C2314yes—
425#13063306C2314yes—
426#13063306C2314yes—
427#13063306C2314yes—
428#13063306C2314yes—
429#13063305C2312yes—
430#13063305C2312yes—
431#13063305C2314yes—
432#13063305C2314yes—
433#13063305C2314yes—
434#13063304C2314yes—
435#13063304C2312yes—
436#13063304C2312yes—
437#13063304C2312yes—
438#13063304C2314yes—
439#13063304C2314yes—
440#13063304C2312yes—
441#13063304C2312yes—
442#13063304C2311yescharacteristic
443#13063304C2311yescharacteristic
444#13063304C2311yescharacteristic
445#13063304C2312yes—
446#13063304C2311yescharacteristic
447#13063303C2314yes—
448#13063303C2314yes—
449#13063303C2314yes—
450#13063303C2314yes—
451#13063303C2314yes—
452#13063303C2314yes—
453#13063303C2314yes—
454#13063303C2314yes—
455#13063303C2314yes—
456#13063303C2314yes—
457#13063302C2314yes—
458#13063302C2314yes—
459#13063302C2314yes—
460#13063302C2314yes—
461#13063302C2314yes—
462#13063302C2314yes—
463#13063302C2314yes—
464#13063302C2314yes—
465#13063302C2314yes—
466#13063302C2314yes—
467#13063301C2312yes—
468#13063301C2314yes—
469#13063301C2314yes—
470#13063301C2314yes—
471#13063301C2312yes—
472#13063301C2314yes—
473#13063300C2314yes—
474#13063300C2312yes—
475#13063300C2314yes—
476#13063300C2312yes—
477#13063300C2314yes—
478#13063299C2312yes—
479#13063299C2314yes—
480#13063299C2314yes—
481#13063299C2314yes—
482#13063299C2312yes—
483#13063299C2312yes—
484#13063299C2312yes—
485#13063299C2312yes—
486#13063299C2311yescharacteristic
487#13063299C2311yescharacteristic
488#13063299C2311yescharacteristic
489#13063299C2312yes—
490#13063299C2311yescharacteristic
491#13063298C2314yes—
492#13063298C2314yes—
493#13063298C2314yes—
494#13063298C2314yes—
495#13063298C2314yes—
496#13063298C2314yes—
497#13063298C2314yes—
498#13063298C2314yes—
499#13063297C2314yes—
500#13063297C2314yes—
501#13063297C2314yes—
502#13063297C2314yes—
503#13063297C2314yes—
504#13063297C2314yes—
505#13063297C2314yes—
506#13063297C2314yes—
507#13063297C2314yes—
508#13063297C2314yes—
509#13063296C2314yes—
510#13063296C2312yes—
511#13063296C2312yes—
512#13063296C2314yes—
513#13063295C2314yes—
514#13063295C2314yes—
515#13063295C2314yes—
516#13063295C2314yes—
517#13063295C2314yes—
518#13063293C2314yes—
519#13063293C2314yes—
520#13063293C2314yes—
521#13063293C2314yes—
522#13063293C2314yes—
523Q8×Dic43C2312yes—
524Q8×Dic43C2312yes—
525C4×Dic86C2312yes—
526C4×Dic86C2312yes—
527C4×Dic86C2312yes—
528C4×Dic86C2314yes—
529C4×Dic86C2314yes—
530C4×Dic86C2314yes—
531C4×Dic86C2311yescharacteristic
532C4×Dic86C2312yes—
533C4×Dic86C2311yescharacteristic
534C4×Dic86C2311yescharacteristic
535C4×Dic86C2311yescharacteristic
536C4×Dic86C2312yes—
537C4×Dic86C2312yes—
538#13063290C2312yes—
539#13063290C2312yes—
540#13063290C2314yes—
541#13063290C2314yes—
542#13063290C2314yes—
543C4×D172C2312yes—
544C4×D172C2311yescharacteristic
545C4×D172C2314yes—
546C4×D172C2312yes—
547C4×D172C2312yes—
548C4×D172C2314yes—
549C4×D172C2314yes—
550C4×D172C2311yescharacteristic
551C4×D172C2311yescharacteristic
552C4×D172C2311yescharacteristic
553C4×D172C2312yes—
554C4×D172C2312yes—
555C4×D172C2312yes—
556D4×Dic43C2314yes—
557D4×Dic43C2314yes—
558D4×Dic43C2314yes—
559D4×Dic43C2312yes—
560D4×Dic43C2314yes—
561D4×Dic43C2312yes—
562#13063287C2314yes—
563#13063287C2314yes—
564#13063287C2314yes—
565#13063287C2312yes—
566#13063287C2312yes—
567C4×C22⋊D43C2312yes—
568C4×C22⋊D43C2312yes—
569C4×C22⋊D43C2314yes—
570C4×C22⋊D43C2312yes—
571C4×C22⋊D43C2314yes—
572C4×C22⋊D43C2314yes—
573C4×C22⋊D43C2314yes—
574C4×C22⋊D43C2314yes—
575C4×C22⋊D43C2314yes—
576C4×C22⋊D43C2314yes—
577C4×C22⋊D43C2312yes—
578C4×C22⋊D43C2314yes—
579C4×C22⋊D43C2312yes—
580C4×C22⋊D43C2314yes—
581C4×C22⋊D43C2312yes—
582C4×C22⋊D43C2314yes—
583C4×C22⋊D43C2312yes—
584C4×C22⋊D43C2312yes—
585(C22⋊D43)⋊C4C2314yes—
586(C22⋊D43)⋊C4C2314yes—
587(C22⋊D43)⋊C4C2314yes—
588(C22⋊D43)⋊C4C2314yes—
589(C22⋊D43)⋊C4C2314yes—
590(C22⋊D43)⋊C4C2314yes—
591(C22⋊D43)⋊C4C2314yes—
592(C22⋊D43)⋊C4C2314yes—
593(C22⋊D43)⋊C4C2314yes—
594(C22⋊D43)⋊C4C2314yes—
595#13063283C2314yes—
596#13063283C2314yes—
597#13063283C2314yes—
598#13063283C2312yes—
599#13063283C2312yes—
600#13063282C2314yes—
601#13063282C2314yes—
602#13063282C2314yes—
603#13063282C2314yes—
604#13063282C2314yes—
605#13063282C2314yes—
606#13063282C2312yes—
607#13063282C2314yes—
608#13063282C2314yes—
609#13063282C2312yes—
610#13063282C2314yes—
611#13063282C2312yes—
612#13063282C2314yes—
613#13063282C2312yes—
614#13063282C2312yes—
615#13063282C2312yes—
616#13063282C2312yes—
617#13063282C2312yes—
618#13063281C2314yes—
619#13063281C2314yes—
620#13063281C2314yes—
621#13063281C2314yes—
622#13063281C2314yes—
623C2×C4⋊Dic43C2311yescharacteristic
624C2×C4⋊Dic43C2311yescharacteristic
625C2×C4⋊Dic43C2311yescharacteristic
626C2×C4⋊Dic43C2311yescharacteristic
627C2×Dic43⋊C4C2312yes—
628C2×Dic43⋊C4C2312yes—
629C2×Dic43⋊C4C2314yes—
630C2×Dic43⋊C4C2314yes—
631C2×Dic43⋊C4C2314yes—
632C2×Dic43⋊C4C2312yes—
633C2×Dic43⋊C4C2312yes—
634C2×Dic43⋊C4C2312yes—
635C2×Dic43⋊C4C2312yes—
636C2×Dic43⋊C4C2312yes—
637C2×Dic43⋊C4C2312yes—
638C4⋊C4×D43C2314yes—
639C4⋊C4×D43C2314yes—
640C4⋊C4×D43C2314yes—
641C4⋊C4×D43C2312yes—
642C4⋊C4×D43C2312yes—
643C2×C22⋊Dic43C2312yes—
644C2×C22⋊Dic43C2312yes—
645C2×(C2×D43)⋊C4C2312yes—
646C2×(C2×D43)⋊C4C2312yes—
647C2×(C2×D43)⋊C4C2314yes—
648C2×(C2×D43)⋊C4C2314yes—
649C2×(C2×D43)⋊C4C2314yes—
650C2×(C2×D43)⋊C4C2312yes—
651C2×(C2×D43)⋊C4C2312yes—
652C2×(C2×D43)⋊C4C2312yes—
653C2×(C2×D43)⋊C4C2312yes—
654C2×(C2×D43)⋊C4C2312yes—
655C2×(C2×D43)⋊C4C2312yes—
656C22⋊C4×D43C2314yes—
657C22⋊C4×D43C2314yes—
658C22⋊C4×D43C2314yes—
659C22⋊C4×D43C2314yes—
660C22⋊C4×D43C2314yes—
661C2×C4×Dic43C2312yes—
662C2×C4×Dic43C2312yes—
663C2×#41×C43C2312yes—
664C2×#41×C43C2312yes—
665C2×#41×C43C2312yes—
666C23×C4×C43C2311yescharacteristic
667C23×C4×C43C2311yescharacteristic
668C23×C4×C43C2311yescharacteristic
669C4⋊Q8×C43C2311yescharacteristic
670C4⋊Q8×C43C2311yescharacteristic
671C4⋊Q8×C43C2311yescharacteristic
672#127×C43C2311yescharacteristic
673#126×C43C2314yes—
674#126×C43C2314yes—
675#125×C43C2312yes—
676#125×C43C2312yes—
677#125×C43C2312yes—
678#124×C43C2312yes—
679#124×C43C2312yes—
680#124×C43C2312yes—
681#123×C43C2314yes—
682#123×C43C2314yes—
683#123×C43C2314yes—
684C22⋊Q8×C43C2312yes—
685C22⋊Q8×C43C2312yes—
686C22⋊Q8×C43C2312yes—
687C22⋊Q8×C43C2312yes—
688C22⋊Q8×C43C2312yes—
689C22⋊Q8×C43C2312yes—
690#121×C43C2312yes—
691#121×C43C2312yes—
692#121×C43C2312yes—
693#121×C43C2312yes—
694#121×C43C2312yes—
695#121×C43C2312yes—
696#120×C43C2314yes—
697C4×Q8×C43C2312yes—
698C4×Q8×C43C2312yes—
699C4×Q8×C43C2312yes—
700C4×Q8×C43C2312yes—
701C4×Q8×C43C2312yes—
702C4×Q8×C43C2312yes—
703C4×D4×C43C2312yes—
704C4×D4×C43C2312yes—
705C4×D4×C43C2314yes—
706C4×D4×C43C2314yes—
707C4×D4×C43C2314yes—
708C4×D4×C43C2314yes—
709C4×D4×C43C2314yes—
710C4×D4×C43C2314yes—
711C4×D4×C43C2312yes—
712C4×D4×C43C2312yes—
713C4×D4×C43C2312yes—
714C4×D4×C43C2312yes—
715#117×C43C2312yes—
716#117×C43C2312yes—
717#117×C43C2314yes—
718#117×C43C2314yes—
719#117×C43C2314yes—
720#117×C43C2312yes—
721C2×C42×C43C2311yescharacteristic
722C2×C42×C43C2311yescharacteristic
723C2×C42×C43C2311yescharacteristic
724C2×C42×C43C2311yescharacteristic
725C2×C42×C43C2311yescharacteristic
726C2×C42×C43C2311yescharacteristic
727C2×C42×C43C2311yescharacteristic
728C2×C42×C43C2311yescharacteristic
729C2×C42×C43C2311yescharacteristic
730C2×C42×C43C2311yescharacteristic
731C2×C42×C43C2311yescharacteristic
732C2×C42×C43C2311yescharacteristic
733C2×C42×C43C2314yes—
734C24×C43C2411yescharacteristic
735C23×D43C2412yes—
736C23×D43C2412yes—
737C23×D43C2414yes—
738#41×C43—44no—
739#41×C43—44no—
740#41×C43—44no—
741C2×Q8×C43C2412yes—
742C2×Q8×C43C2412yes—
743C2×Q8×C43C2412yes—
744C2×D4×C43C2414yes—
745C2×D4×C43C2414yes—
746C2×D4×C43C2412yes—
747C2×D4×C43C2414yes—
748C2×D4×C43C2412yes—
749C2×D4×C43C2412yes—
750C22×C4×C43—42no—
751C22×C4×C43—42no—
752C22×C4×C43—42no—
753C22×C4×C43C2411yescharacteristic
754C22×C4×C43C2411yescharacteristic
755C22×C4×C43C2411yescharacteristic
756C22×C4×C43C2411yescharacteristic
757C22×C4×C43C2411yescharacteristic
758C22×C4×C43C2411yescharacteristic
759C22×C4×C43C2411yescharacteristic
760C22×C4×C43C2411yescharacteristic
761C22×C4×C43C2411yescharacteristic
762C22×C4×C43C2411yescharacteristic
763C22×C4×C43C2411yescharacteristic
764C22×C4×C43C2411yescharacteristic
765C22×C4×C43C2411yescharacteristic
766C22×C4×C43C2411yescharacteristic
767C22×C4×C43C2411yescharacteristic
768C22×C4×C43C2411yescharacteristic
769C22×C4×C43C2411yescharacteristic
770C22×C4×C43C2411yescharacteristic
771C22×C4×C43C2414yes—
772C22×C4×C43C2414yes—
773C22×C4×C43C2414yes—
774C2×C22⋊D43—44no—
775C2×C22⋊D43—44no—
776C2×C22⋊D43C2412yes—
777C2×C22⋊D43C2414yes—
778C2×C22⋊D43C2412yes—
779C2×C22⋊D43C2414yes—
780C2×C22⋊D43C2414yes—
781C2×C22⋊D43C2414yes—
782C2×C22⋊D43C2414yes—
783C2×C22⋊D43C2414yes—
784C2×C22⋊D43C2414yes—
785C2×C22⋊D43C2412yes—
786C2×C22⋊D43C2414yes—
787C2×C22⋊D43C2412yes—
788C22×Dic43C2412yes—
789C22×Dic43C2412yes—
790C22×Dic43C2412yes—
791C22×Dic43C2412yes—
792C22×Dic43C2412yes—
793C22×Dic43C2412yes—
794C22×Dic43C2414yes—
795C22×Dic43C2414yes—
796C22×Dic43C2414yes—
797#10621902—44no—
798Q8×D43—44no—
799#10621900—44no—
800#10621900—48no—
801#10621900—48no—
802D4×D43—48no—
803D4×D43—48no—
804D4×D43—44no—
805C2×D172—42no—
806C2×D172—42no—
807C2×D172C2412yes—
808C2×D172C2414yes—
809C2×D172C2414yes—
810C2×D172C2414yes—
811C2×D172C2411yescharacteristic
812C2×D172C2412yes—
813C2×D172C2412yes—
814C2×D172C2411yescharacteristic
815C2×C4×D43—44no—
816C2×C4×D43—44no—
817C2×C4×D43C2412yes—
818C2×C4×D43C2412yes—
819C2×C4×D43C2414yes—
820C2×C4×D43C2414yes—
821C2×C4×D43C2412yes—
822C2×C4×D43C2414yes—
823C2×C4×D43C2414yes—
824C2×C4×D43C2414yes—
825C2×C4×D43C2414yes—
826C2×C4×D43C2414yes—
827C2×C4×D43C2412yes—
828C2×C4×D43C2414yes—
829C2×Dic86—42no—
830C2×Dic86—42no—
831C2×Dic86C2412yes—
832C2×Dic86C2414yes—
833C2×Dic86C2414yes—
834C2×Dic86C2414yes—
835C2×Dic86C2411yescharacteristic
836C2×Dic86C2412yes—
837C2×Dic86C2412yes—
838C2×Dic86C2411yescharacteristic
839C4⋊C4×C43C2412yes—
840C4⋊C4×C43C2412yes—
841C4⋊C4×C43C2412yes—
842C4⋊C4×C43C2412yes—
843C4⋊C4×C43C2412yes—
844C4⋊C4×C43C2412yes—
845C4⋊C4×C43C2414yes—
846C4⋊C4×C43C2414yes—
847C4⋊C4×C43C2414yes—
848C4⋊C4×C43C2414yes—
849C4⋊C4×C43C2414yes—
850C4⋊C4×C43C2414yes—
851C22⋊C4×C43C2414yes—
852C22⋊C4×C43C2414yes—
853C22⋊C4×C43C2414yes—
854C22⋊C4×C43C2414yes—
855C22⋊C4×C43C2414yes—
856C22⋊C4×C43C2414yes—
857C22⋊C4×C43C2414yes—
858C22⋊C4×C43C2414yes—
859C22⋊C4×C43C2414yes—
860C42×C43C2411yescharacteristic
861C42×C43C2411yescharacteristic
862C42×C43C2411yescharacteristic
863C42×C43C2411yescharacteristic
864C42×C43C2411yescharacteristic
865C42×C43C2411yescharacteristic
866C42×C43C2411yescharacteristic
867C42×C43C2411yescharacteristic
868C42×C43C2411yescharacteristic
869C42×C43C2411yescharacteristic
870C42×C43C2411yescharacteristic
871C42×C43C2411yescharacteristic
872C42×C43C2411yescharacteristic
873C42×C43C2411yescharacteristic
874C42×C43C2411yescharacteristic
875C42×C43C2411yescharacteristic
876C42×C43C2414yes—
877C42×C43C2414yes—
878C42×C43C2414yes—
879C22⋊Dic43C2412yes—
880C22⋊Dic43C2414yes—
881C22⋊Dic43C2414yes—
882C22⋊Dic43C2414yes—
883C22⋊Dic43C2414yes—
884C22⋊Dic43C2412yes—
885C22⋊Dic43C2412yes—
886C22⋊Dic43C2414yes—
887C22⋊Dic43C2412yes—
888C22⋊Dic43C2414yes—
889C22⋊Dic43C2414yes—
890C22⋊Dic43C2414yes—
891(C2×D43)⋊C4C2412yes—
892(C2×D43)⋊C4C2412yes—
893(C2×D43)⋊C4C2414yes—
894(C2×D43)⋊C4C2414yes—
895(C2×D43)⋊C4C2414yes—
896(C2×D43)⋊C4C2414yes—
897(C2×D43)⋊C4C2414yes—
898(C2×D43)⋊C4C2414yes—
899(C2×D43)⋊C4C2412yes—
900(C2×D43)⋊C4C2412yes—
901(C2×D43)⋊C4C2412yes—
902(C2×D43)⋊C4C2414yes—
903(C2×D43)⋊C4C2414yes—
904(C2×D43)⋊C4C2414yes—
905(C2×D43)⋊C4C2412yes—
906(C2×D43)⋊C4C2412yes—
907(C2×D43)⋊C4C2412yes—
908(C2×D43)⋊C4C2412yes—
909(C2×D43)⋊C4C2412yes—
910(C2×D43)⋊C4C2414yes—
911(C2×D43)⋊C4C2414yes—
912(C2×D43)⋊C4C2412yes—
913(C2×D43)⋊C4C2412yes—
914(C2×D43)⋊C4C2412yes—
915(C2×D43)⋊C4C2414yes—
916(C2×D43)⋊C4C2414yes—
917(C2×D43)⋊C4C2414yes—
918(C2×D43)⋊C4C2412yes—
919(C2×D43)⋊C4C2414yes—
920(C2×D43)⋊C4C2412yes—
921(C2×D43)⋊C4C2412yes—
922(C2×D43)⋊C4C2414yes—
923(C2×D43)⋊C4C2414yes—
924(C2×D43)⋊C4C2414yes—
925(C2×D43)⋊C4C2414yes—
926(C2×D43)⋊C4C2414yes—
927C4⋊Dic43C2412yes—
928C4⋊Dic43C2412yes—
929C4⋊Dic43C2414yes—
930C4⋊Dic43C2414yes—
931C4⋊Dic43C2414yes—
932C4⋊Dic43C2412yes—
933C4⋊Dic43C2412yes—
934C4⋊Dic43C2411yescharacteristic
935C4⋊Dic43C2411yescharacteristic
936C4⋊Dic43C2411yescharacteristic
937C4⋊Dic43C2412yes—
938C4⋊Dic43C2412yes—
939C4⋊Dic43C2411yescharacteristic
940C4⋊Dic43C2414yes—
941C4⋊Dic43C2414yes—
942C4⋊Dic43C2414yes—
943Dic43⋊C4C2412yes—
944Dic43⋊C4C2412yes—
945Dic43⋊C4C2414yes—
946Dic43⋊C4C2414yes—
947Dic43⋊C4C2414yes—
948Dic43⋊C4C2414yes—
949Dic43⋊C4C2414yes—
950Dic43⋊C4C2412yes—
951Dic43⋊C4C2412yes—
952Dic43⋊C4C2412yes—
953Dic43⋊C4C2414yes—
954Dic43⋊C4C2414yes—
955Dic43⋊C4C2414yes—
956Dic43⋊C4C2412yes—
957Dic43⋊C4C2412yes—
958Dic43⋊C4C2412yes—
959Dic43⋊C4C2412yes—
960Dic43⋊C4C2412yes—
961Dic43⋊C4C2414yes—
962Dic43⋊C4C2414yes—
963Dic43⋊C4C2412yes—
964Dic43⋊C4C2412yes—
965Dic43⋊C4C2412yes—
966Dic43⋊C4C2414yes—
967Dic43⋊C4C2414yes—
968Dic43⋊C4C2414yes—
969Dic43⋊C4C2412yes—
970Dic43⋊C4C2414yes—
971Dic43⋊C4C2412yes—
972Dic43⋊C4C2412yes—
973Dic43⋊C4C2414yes—
974Dic43⋊C4C2414yes—
975Dic43⋊C4C2414yes—
976Dic43⋊C4C2414yes—
977Dic43⋊C4C2414yes—
978Dic43⋊C4C2414yes—
979C4×Dic43C2412yes—
980C4×Dic43C2414yes—
981C4×Dic43C2414yes—
982C4×Dic43C2412yes—
983C4×Dic43C2412yes—
984C4×Dic43C2412yes—
985C4×Dic43C2414yes—
986C4×Dic43C2414yes—
987C4×Dic43C2414yes—
988C4×Dic43C2414yes—
989C4×Dic43C2414yes—
990C4×Dic43C2414yes—
991C23×C43—22no—
992C23×C43—22no—
993C23×C43—41no—
994C23×C43C2511yescharacteristic
995C23×C43C2514yes—
996C23×C43C2511yescharacteristic
997C23×C43C2511yescharacteristic
998C22×D43—24no—
999C22×D43—24no—
1000C22×D43—42no—
1001C22×D43—42no—
1002C22×D43—42no—
1003C22×D43—42no—
1004C22×D43—44no—
1005C22×D43—44no—
1006C22×D43—44no—
1007C22×D43C2512yes—
1008C22×D43C2514yes—
1009C22×D43C2512yes—
1010Q8×C43—24no—
1011Q8×C43—42no—
1012Q8×C43—42no—
1013D4×C43—28no—
1014D4×C43—28no—
1015D4×C43—24no—
1016D4×C43—44no—
1017D4×C43—42no—
1018D4×C43—42no—
1019C2×C4×C43—22no—
1020C2×C4×C43—22no—
1021C2×C4×C43—22no—
1022C2×C4×C43—22no—
1023C2×C4×C43—22no—
1024C2×C4×C43—22no—
1025C2×C4×C43—22no—
1026C2×C4×C43—41no—
1027C2×C4×C43—41no—
1028C2×C4×C43—41no—
1029C2×C4×C43—41no—
1030C2×C4×C43—41no—
1031C2×C4×C43—41no—
1032C2×C4×C43—41no—
1033C2×C4×C43—41no—
1034C2×C4×C43—41no—
1035C2×C4×C43—41no—
1036C2×C4×C43—41no—
1037C2×C4×C43—44no—
1038C2×C4×C43—44no—
1039C2×C4×C43—44no—
1040C2×C4×C43C2511yescharacteristic
1041C2×C4×C43C2511yescharacteristic
1042C2×C4×C43C2511yescharacteristic
1043C2×C4×C43C2514yes—
1044C2×C4×C43C2514yes—
1045C2×C4×C43C2514yes—
1046C2×C4×C43C2511yescharacteristic
1047C2×C4×C43C2511yescharacteristic
1048C2×C4×C43C2511yescharacteristic
1049C2×C4×C43C2511yescharacteristic
1050C2×C4×C43C2511yescharacteristic
1051C2×C4×C43C2511yescharacteristic
1052C2×C4×C43C2511yescharacteristic
1053C2×C4×C43C2511yescharacteristic
1054C2×C4×C43C2511yescharacteristic
1055C22⋊D43—24no—
1056C22⋊D43—28no—
1057C22⋊D43—24no—
1058C22⋊D43—44no—
1059C22⋊D43—44no—
1060C22⋊D43—44no—
1061C22⋊D43—44no—
1062C22⋊D43—44no—
1063C22⋊D43—44no—
1064C22⋊D43—42no—
1065C22⋊D43—44no—
1066C22⋊D43—42no—
1067C2×Dic43—24no—
1068C2×Dic43—24no—
1069C2×Dic43—42no—
1070C2×Dic43—42no—
1071C2×Dic43—44no—
1072C2×Dic43—44no—
1073C2×Dic43—44no—
1074C2×Dic43—42no—
1075C2×Dic43—42no—
1076C2×Dic43C2512yes—
1077C2×Dic43C2512yes—
1078C2×Dic43C2514yes—
1079C2×Dic43C2512yes—
1080C2×Dic43C2514yes—
1081C2×Dic43C2512yes—
1082C2×Dic43C2514yes—
1083C2×Dic43C2512yes—
1084C2×Dic43C2512yes—
1085D172—24no—
1086D172—41no—
1087D172—42no—
1088D172—41no—
1089D172—42no—
1090D172—44no—
1091D172—44no—
1092D172—44no—
1093C4×D43—24no—
1094C4×D43—24no—
1095C4×D43—42no—
1096C4×D43—44no—
1097C4×D43—44no—
1098C4×D43—42no—
1099C4×D43—44no—
1100C4×D43—44no—
1101C4×D43—44no—
1102C4×D43—44no—
1103C4×D43—44no—
1104C4×D43—44no—
1105Dic86—24no—
1106Dic86—42no—
1107Dic86—41no—
1108Dic86—42no—
1109Dic86—41no—
1110Dic86—44no—
1111Dic86—44no—
1112Dic86—44no—
1113#62828—431nomaximal, Sylow
1114C22×C43—21no—
1115C22×C43—21no—
1116C22×C43—21no—
1117C22×C43—21no—
1118C22×C43—24no—
1119C22×C43—24no—
1120C22×C43—24no—
1121C22×C43—21no—
1122C22×C43—21no—
1123C22×C43—21no—
1124C22×C43—44no—
1125C22×C43#58512yes—
1126C22×C43#58512yes—
1127C22×C43C2611yescharacteristic
1128C2×D43—22no—
1129C2×D43—24no—
1130C2×D43—22no—
1131C2×D43—22no—
1132C2×D43—22no—
1133C2×D43—24no—
1134C2×D43—24no—
1135C2×D43—22no—
1136C2×D43—22no—
1137C2×D43—84no—
1138C2×D43—84no—
1139C2×D43—164no—
1140C4×C43—21no—
1141C4×C43—21no—
1142C4×C43—21no—
1143C4×C43—24no—
1144C4×C43—24no—
1145C4×C43—24no—
1146C4×C43—21no—
1147C4×C43—21no—
1148C4×C43—21no—
1149C4×C43—21no—
1150C4×C43—21no—
1151C4×C43—21no—
1152C4×C43—21no—
1153C4×C43—21no—
1154C4×C43#58512yes—
1155Dic43—24no—
1156Dic43—22no—
1157Dic43—22no—
1158Dic43—22no—
1159Dic43—22no—
1160Dic43—24no—
1161Dic43—24no—
1162Dic43—22no—
1163Dic43—22no—
1164#3568—432no—
1165#3567—432no—
1166#3566—434no—
1167#3565—432no—
1168#3563—431no—
1169#3562—432no—
1170#3561—431no—
1171#3559—431no—
1172#3558—431no—
1173#3553—432no—
1174#3545—432no—
1175#3535—432no—
1176#3534—432no—
1177#3524—432no—
1178#3521—434no—
1179#3521—434no—
1180#3521—432no—
1181#3520—432no—
1182#3519—432no—
1183#3516—432no—
1184#3513—432no—
1185#3513—434no—
1186#3507—432no—
1187#3505—432no—
1188#3495—432no—
1189#3494—432no—
1190#3493—432no—
1191#3491—432no—
1192#3444D4311yescharacteristic, complemented
1193C2×#529—431no—
1194C2×#529—431no—
1195C2×C43—22no—
1196C2×C43—22no—
1197C2×C43—44no—
1198C2×C43—41no—
1199C2×C43C2×#58511yescharacteristic
1200C2×C43C2×#58511yescharacteristic
1201C2×C43C2×#58511yescharacteristic
1202D43—42no—
1203D43—44no—
1204D43—42no—
1205#564—432no—
1206#563—432no—
1207#563—432no—
1208#563—432no—
1209#563—434no—
1210#562—432no—
1211#562—432no—
1212#562—432no—
1213#562—434no—
1214#562—434no—
1215H(3,𝔽4)—432no—
1216#560—434no—
1217#559—432no—
1218#559—432no—
1219#559—434no—
1220#557—432no—
1221#557—432no—
1222#556—434no—
1223#556—432no—
1224#556—434no—
1225#556—434no—
1226#556—432no—
1227#556—434no—
1228#556—434no—
1229#556—432no—
1230#555—434no—
1231#555—434no—
1232#555—432no—
1233#554—432no—
1234#554—434no—
1235#554—432no—
1236#554—432no—
1237#554—434no—
1238#554—434no—
1239#553—434no—
1240#553—432no—
1241#553—434no—
1242#553—432no—
1243#553—434no—
1244#553—434no—
1245#553—434no—
1246#553—434no—
1247#553—434no—
1248#553—432no—
1249#553—434no—
1250#553—434no—
1251#553—434no—
1252#553—432no—
1253#552—434no—
1254#552—434no—
1255#552—434no—
1256#552—432no—
1257#552—432no—
1258#552—434no—
1259#552—434no—
1260#552—432no—
1261#552—434no—
1262#552—434no—
1263#552—434no—
1264#552—434no—
1265#552—434no—
1266#552—434no—
1267#552—432no—
1268#551—434no—
1269#551—434no—
1270#551—434no—
1271#551—434no—
1272#551—434no—
1273#551—434no—
1274#551—434no—
1275#551—434no—
1276#551—434no—
1277#551—434no—
1278#551—434no—
1279#551—434no—
1280#551—434no—
1281#551—434no—
1282#550—432no—
1283D4×Q8—432no—
1284#548—432no—
1285#548—432no—
1286#548—432no—
1287#548—432no—
1288#547—434no—
1289#547—434no—
1290#547—432no—
1291#547—432no—
1292#546—434no—
1293#546—434no—
1294#546—432no—
1295#546—432no—
1296#546—432no—
1297#546—434no—
1298#546—434no—
1299#546—434no—
1300#546—432no—
1301#546—434no—
1302#546—434no—
1303D42—432no—
1304D42—434no—
1305#544—432no—
1306#544—432no—
1307#544—432no—
1308#543—432no—
1309#542—432no—
1310#542—432no—
1311#542—434no—
1312#542—434no—
1313#542—434no—
1314#542—432no—
1315#542—434no—
1316#542—434no—
1317#542—432no—
1318#542—434no—
1319#541—432no—
1320#541—434no—
1321#541—432no—
1322#541—434no—
1323#541—434no—
1324#540—432no—
1325#540—434no—
1326#540—434no—
1327#540—432no—
1328#540—434no—
1329#539—434no—
1330#539—434no—
1331#539—434no—
1332#539—434no—
1333#539—432no—
1334#539—434no—
1335#539—432no—
1336#539—434no—
1337#539—434no—
1338#539—434no—
1339#539—434no—
1340#539—434no—
1341#538—434no—
1342#538—434no—
1343#538—432no—
1344#538—432no—
1345#538—434no—
1346#538—434no—
1347#538—434no—
1348#538—434no—
1349#538—434no—
1350#538—434no—
1351#537—432no—
1352#536—432no—
1353#536—434no—
1354#535—432no—
1355#534—434no—
1356#534—432no—
1357#533—432no—
1358#533C2×D4311yescharacteristic, complemented
1359#533C2×D4311yescharacteristic, complemented
1360#533C2×D4311yescharacteristic, complemented
1361#532—432no—
1362#532C2×D4311yescharacteristic, complemented
1363#532C2×D4311yescharacteristic, complemented
1364#532C2×D4311yescharacteristic, complemented
1365#529—434no—
1366#529—434no—
1367#529—432no—
1368#529—432no—
1369#529—431no—
1370#529—431no—
1371#529—431no—
1372#529—432no—
1373#529—432no—
1374#529—432no—
1375#529—432no—
1376#529—432no—
1377#529—431no—
1378#529—432no—
1379#529—431no—
1380#529—432no—
1381#529—431no—
1382#529—432no—
1383#529—432no—
1384#529—432no—
1385#529—432no—
1386#529—431no—
1387#529—432no—
1388#529—431no—
1389#529—434no—
1390#529—434no—
1391#529—434no—
1392#529C2×D4312yescomplemented
1393#529C2×D4312yescomplemented
1394#529C2×D4312yescomplemented
1395#529C2×D4312yescomplemented
1396#529C2×D4312yescomplemented
1397#529C2×D4312yescomplemented
1398C2×#126—432no—
1399C2×#126—432no—
1400C2×#126—434no—
1401C2×#125—431no—
1402C2×#125—431no—
1403C2×#124—431no—
1404C2×#124—431no—
1405#525—434no—
1406#525—432no—
1407#525—432no—
1408#525C2×D4312yescomplemented
1409#525C2×D4312yescomplemented
1410#525C2×D4312yescomplemented
1411C2×#123—432no—
1412C2×#123—432no—
1413C2×#123—434no—
1414C2×C22⋊Q8—431no—
1415C2×C22⋊Q8—431no—
1416C2×C22⋊Q8—432no—
1417C2×#121—431no—
1418C2×#121—431no—
1419C2×#121—432no—
1420#520—432no—
1421#520—434no—
1422#520—432no—
1423#520—434no—
1424#519—432no—
1425#518—434no—
1426#518—432no—
1427#518—434no—
1428C4×#41C2×D4312yescomplemented
1429C4×#41C2×D4312yescomplemented
1430C4×#41C2×D4312yescomplemented
1431C2×C4×Q8—431no—
1432C2×C4×Q8—431no—
1433C2×C4×D4—432no—
1434C2×C4×D4—432no—
1435C2×C4×D4—431no—
1436C2×C4×D4—431no—
1437C2×#117—432no—
1438C2×#117—432no—
1439C22×C42C2×D4311yescharacteristic, complemented
1440C43#6282811yescharacteristic, complemented, Sylow
1441C2×#41—432no—
1442C2×#41—432no—
1443C2×#41—434no—
1444C2×#41—434no—
1445C2×#41C22×D4312yes—
1446C2×#41C22×D4312yes—
1447C2×#41C22×D4312yes—
1448C22×Q8—432no—
1449C22×Q8—431no—
1450C22×Q8—431no—
1451C22×D4—432no—
1452C22×D4—432no—
1453C22×D4—434no—
1454C22×D4—432no—
1455C22×D4—434no—
1456C22×D4—431no—
1457C22×D4—431no—
1458C23×C4—432no—
1459C23×C4—432no—
1460C23×C4C22×D4311yescharacteristic
1461C23×C4C22×D4311yescharacteristic
1462C23×C4C22×D4311yescharacteristic
1463C4⋊Q8—432no—
1464C4⋊Q8—434no—
1465C4⋊Q8—434no—
1466C4⋊Q8—432no—
1467C4⋊Q8—432no—
1468C4⋊Q8—434no—
1469C4⋊Q8—434no—
1470C4⋊Q8—434no—
1471C4⋊Q8C22×D4311yescharacteristic
1472C4⋊Q8C22×D4311yescharacteristic
1473C4⋊Q8C22×D4311yescharacteristic
1474#127—432no—
1475#127—434no—
1476#127C22×D4311yescharacteristic
1477#126—434no—
1478#126—434no—
1479#126—434no—
1480#126—434no—
1481#126—434no—
1482#126—434no—
1483#126—434no—
1484#126—434no—
1485#126—434no—
1486#126—434no—
1487#126—434no—
1488#126—434no—
1489#126—434no—
1490#126—434no—
1491#126—434no—
1492#126—434no—
1493#126—434no—
1494#126—434no—
1495#126—432no—
1496#126—434no—
1497#126—432no—
1498#126—432no—
1499#126—434no—
1500#126—432no—
1501#126—432no—
1502#126—432no—
1503#126—434no—
1504#126—434no—
1505#126—432no—
1506#126—432no—
1507#126—434no—
1508#126—434no—
1509#126—434no—
1510#126—434no—
1511#126—434no—
1512#126—434no—
1513#126C22×D4314yes—
1514#126C22×D4314yes—
1515#125—434no—
1516#125—432no—
1517#125—434no—
1518#125—432no—
1519#125—434no—
1520#125—434no—
1521#125—434no—
1522#125—434no—
1523#125—434no—
1524#125—434no—
1525#125—434no—
1526#125—434no—
1527#125—434no—
1528#125—434no—
1529#125—434no—
1530#125—432no—
1531#125—432no—
1532#125—432no—
1533#125—432no—
1534#125—431no—
1535#125—431no—
1536#125—432no—
1537#125—431no—
1538#125—432no—
1539#125—431no—
1540#125—434no—
1541#125—434no—
1542#125—434no—
1543#125C22×D4312yes—
1544#125C22×D4312yes—
1545#125C22×D4312yes—
1546#124—432no—
1547#124—434no—
1548#124—434no—
1549#124—432no—
1550#124—434no—
1551#124—434no—
1552#124—434no—
1553#124—434no—
1554#124—434no—
1555#124—434no—
1556#124—434no—
1557#124—434no—
1558#124—434no—
1559#124—432no—
1560#124—432no—
1561#124—432no—
1562#124—432no—
1563#124—432no—
1564#124—431no—
1565#124—431no—
1566#124—431no—
1567#124—432no—
1568#124—431no—
1569#124—434no—
1570#124—434no—
1571#124—434no—
1572#124C22×D4312yes—
1573#124C22×D4312yes—
1574#124C22×D4312yes—
1575#123—434no—
1576#123—434no—
1577#123—434no—
1578#123—434no—
1579#123—434no—
1580#123—432no—
1581#123—432no—
1582#123—434no—
1583#123—432no—
1584#123—434no—
1585#123—432no—
1586#123—432no—
1587#123—434no—
1588#123—432no—
1589#123—432no—
1590#123—432no—
1591#123—434no—
1592#123—434no—
1593#123—434no—
1594#123—434no—
1595#123—434no—
1596#123—434no—
1597#123—434no—
1598#123—434no—
1599#123—434no—
1600#123—434no—
1601#123—434no—
1602#123—434no—
1603#123—434no—
1604#123—434no—
1605#123—434no—
1606#123—434no—
1607#123—434no—
1608#123—434no—
1609#123—434no—
1610#123—434no—
1611#123—434no—
1612#123—434no—
1613#123—434no—
1614#123—434no—
1615#123—434no—
1616#123—434no—
1617#123—434no—
1618#123—434no—
1619#123—434no—
1620#123—434no—
1621#123C22×D4314yes—
1622#123C22×D4314yes—
1623#123C22×D4314yes—
1624C22⋊Q8—432no—
1625C22⋊Q8—432no—
1626C22⋊Q8—434no—
1627C22⋊Q8—434no—
1628C22⋊Q8—434no—
1629C22⋊Q8—434no—
1630C22⋊Q8—432no—
1631C22⋊Q8—431no—
1632C22⋊Q8—431no—
1633C22⋊Q8—432no—
1634C22⋊Q8—431no—
1635C22⋊Q8—431no—
1636C22⋊Q8—432no—
1637C22⋊Q8—432no—
1638C22⋊Q8—432no—
1639C22⋊Q8—432no—
1640C22⋊Q8—434no—
1641C22⋊Q8—434no—
1642C22⋊Q8—434no—
1643C22⋊Q8—434no—
1644C22⋊Q8—432no—
1645C22⋊Q8—434no—
1646C22⋊Q8—434no—
1647C22⋊Q8—432no—
1648C22⋊Q8—434no—
1649C22⋊Q8—434no—
1650C22⋊Q8—434no—
1651C22⋊Q8—434no—
1652C22⋊Q8—434no—
1653C22⋊Q8—434no—
1654C22⋊Q8—434no—
1655C22⋊Q8—434no—
1656C22⋊Q8—434no—
1657C22⋊Q8—434no—
1658C22⋊Q8—434no—
1659C22⋊Q8—434no—
1660C22⋊Q8—434no—
1661C22⋊Q8—434no—
1662C22⋊Q8—434no—
1663C22⋊Q8—434no—
1664C22⋊Q8—434no—
1665C22⋊Q8—434no—
1666C22⋊Q8—434no—
1667C22⋊Q8—434no—
1668C22⋊Q8C22×D4312yes—
1669C22⋊Q8C22×D4312yes—
1670C22⋊Q8C22×D4312yes—
1671C22⋊Q8C22×D4312yes—
1672C22⋊Q8C22×D4312yes—
1673C22⋊Q8C22×D4312yes—
1674#121—434no—
1675#121—432no—
1676#121—432no—
1677#121—434no—
1678#121—434no—
1679#121—434no—
1680#121—434no—
1681#121—434no—
1682#121—434no—
1683#121—434no—
1684#121—434no—
1685#121—434no—
1686#121—434no—
1687#121—434no—
1688#121—432no—
1689#121—431no—
1690#121—431no—
1691#121—431no—
1692#121—432no—
1693#121—431no—
1694#121—432no—
1695#121—432no—
1696#121—432no—
1697#121—432no—
1698#121—434no—
1699#121—434no—
1700#121—434no—
1701#121—432no—
1702#121—432no—
1703#121—434no—
1704#121—434no—
1705#121—434no—
1706#121—434no—
1707#121—434no—
1708#121—434no—
1709#121—434no—
1710#121—434no—
1711#121—434no—
1712#121—434no—
1713#121—434no—
1714#121C22×D4312yes—
1715#121C22×D4312yes—
1716#121C22×D4312yes—
1717#121C22×D4312yes—
1718#121C22×D4312yes—
1719#121C22×D4312yes—
1720#120—434no—
1721#120—434no—
1722#120—434no—
1723#120—434no—
1724#120—434no—
1725#120—434no—
1726#120—434no—
1727#120—434no—
1728#120—434no—
1729#120—434no—
1730#120C22×D4314yes—
1731C4×Q8—432no—
1732C4×Q8—432no—
1733C4×Q8—434no—
1734C4×Q8—432no—
1735C4×Q8—432no—
1736C4×Q8—434no—
1737C4×Q8—434no—
1738C4×Q8—432no—
1739C4×Q8—432no—
1740C4×Q8—432no—
1741C4×Q8—431no—
1742C4×Q8—432no—
1743C4×Q8—432no—
1744C4×Q8—431no—
1745C4×Q8—432no—
1746C4×Q8—431no—
1747C4×Q8—431no—
1748C4×Q8—434no—
1749C4×Q8—434no—
1750C4×Q8—434no—
1751C4×Q8C22×D4312yes—
1752C4×Q8C22×D4312yes—
1753C4×Q8C22×D4312yes—
1754C4×Q8C22×D4312yes—
1755C4×Q8C22×D4312yes—
1756C4×Q8C22×D4312yes—
1757C4×D4—434no—
1758C4×D4—434no—
1759C4×D4—432no—
1760C4×D4—434no—
1761C4×D4—434no—
1762C4×D4—432no—
1763C4×D4—432no—
1764C4×D4—434no—
1765C4×D4—432no—
1766C4×D4—432no—
1767C4×D4—434no—
1768C4×D4—432no—
1769C4×D4—432no—
1770C4×D4—432no—
1771C4×D4—432no—
1772C4×D4—434no—
1773C4×D4—432no—
1774C4×D4—434no—
1775C4×D4—434no—
1776C4×D4—434no—
1777C4×D4—434no—
1778C4×D4—434no—
1779C4×D4—434no—
1780C4×D4—434no—
1781C4×D4—434no—
1782C4×D4—434no—
1783C4×D4—432no—
1784C4×D4—434no—
1785C4×D4—432no—
1786C4×D4—434no—
1787C4×D4—434no—
1788C4×D4—434no—
1789C4×D4—434no—
1790C4×D4—434no—
1791C4×D4—434no—
1792C4×D4—434no—
1793C4×D4—434no—
1794C4×D4—434no—
1795C4×D4—434no—
1796C4×D4—432no—
1797C4×D4—432no—
1798C4×D4—431no—
1799C4×D4—432no—
1800C4×D4—432no—
1801C4×D4—431no—
1802C4×D4—431no—
1803C4×D4—432no—
1804C4×D4—432no—
1805C4×D4—431no—
1806C4×D4—434no—
1807C4×D4—434no—
1808C4×D4—434no—
1809C4×D4C22×D4314yes—
1810C4×D4C22×D4314yes—
1811C4×D4C22×D4312yes—
1812C4×D4C22×D4314yes—
1813C4×D4C22×D4314yes—
1814C4×D4C22×D4314yes—
1815C4×D4C22×D4314yes—
1816C4×D4C22×D4312yes—
1817C4×D4C22×D4312yes—
1818C4×D4C22×D4312yes—
1819C4×D4C22×D4312yes—
1820C4×D4C22×D4312yes—
1821#117—432no—
1822#117—434no—
1823#117—434no—
1824#117—432no—
1825#117—434no—
1826#117—434no—
1827#117—434no—
1828#117—434no—
1829#117—434no—
1830#117—434no—
1831#117—432no—
1832#117—432no—
1833#117—432no—
1834#117—432no—
1835#117—432no—
1836#117—432no—
1837#117—434no—
1838#117—434no—
1839#117—434no—
1840#117—434no—
1841#117—432no—
1842#117—432no—
1843#117—434no—
1844#117—434no—
1845#117—434no—
1846#117—434no—
1847#117—434no—
1848#117—434no—
1849#117C22×D4312yes—
1850#117C22×D4312yes—
1851#117C22×D4312yes—
1852#117C22×D4314yes—
1853#117C22×D4314yes—
1854#117C22×D4314yes—
1855C2×C4⋊C4—432no—
1856C2×C4⋊C4—432no—
1857C2×C4⋊C4—432no—
1858C2×C4⋊C4—432no—
1859C2×C4⋊C4—431no—
1860C2×C4⋊C4—431no—
1861C2×C4⋊C4—432no—
1862C2×C4⋊C4—432no—
1863C2×C4⋊C4—432no—
1864C2×C4⋊C4—431no—
1865C2×C4⋊C4—431no—
1866C2×C4⋊C4—432no—
1867C2×C4⋊C4—434no—
1868C2×C4⋊C4—434no—
1869C2×C4⋊C4—434no—
1870C2×C4⋊C4—432no—
1871C2×C4⋊C4—434no—
1872C2×C4⋊C4—432no—
1873C2×C4⋊C4—434no—
1874C2×C4⋊C4—434no—
1875C2×C22⋊C4—432no—
1876C2×C22⋊C4—432no—
1877C2×C22⋊C4—432no—
1878C2×C22⋊C4—432no—
1879C2×C22⋊C4—432no—
1880C2×C22⋊C4—432no—
1881C2×C22⋊C4—432no—
1882C2×C22⋊C4—432no—
1883C2×C22⋊C4—432no—
1884C2×C22⋊C4—432no—
1885C2×C22⋊C4—434no—
1886C2×C22⋊C4—434no—
1887C2×C22⋊C4—434no—
1888C2×C22⋊C4—434no—
1889C2×C22⋊C4—434no—
1890C2×C22⋊C4—434no—
1891C2×C22⋊C4—434no—
1892C2×C22⋊C4—434no—
1893C2×C42—432no—
1894C2×C42—432no—
1895C2×C42C22×D4311yescharacteristic
1896C2×C42C22×D4311yescharacteristic
1897C2×C42C22×D4311yescharacteristic
1898C2×C42C22×D4311yescharacteristic
1899C2×C42C22×D4314yes—
1900C2×C42C22×D4311yescharacteristic
1901C2×C42C22×D4311yescharacteristic
1902C2×C42C22×D4311yescharacteristic
1903C2×C42C22×D4311yescharacteristic
1904C2×C42C22×D4311yescharacteristic
1905C2×C42C22×D4311yescharacteristic
1906C2×C42C22×D4311yescharacteristic
1907C2×C42C22×D4311yescharacteristic
1908C24—432no—
1909C24—432no—
1910C24—434no—
1911C24C23×D4311yescharacteristic
1912#41—44no—
1913#41—44no—
1914#41—44no—
1915#41—1728no—
1916#41—1728no—
1917#41—1724no—
1918#41—1724no—
1919C2×Q8—432no—
1920C2×Q8—431no—
1921C2×Q8—434no—
1922C2×Q8—434no—
1923C2×Q8—432no—
1924C2×Q8—432no—
1925C2×Q8—434no—
1926C2×Q8—431no—
1927C2×Q8—1722no—
1928C2×Q8—1722no—
1929C2×Q8—1724no—
1930C2×Q8C23×D4312yes—
1931C2×Q8C23×D4312yes—
1932C2×Q8C23×D4312yes—
1933C2×D4—432no—
1934C2×D4—434no—
1935C2×D4—432no—
1936C2×D4—434no—
1937C2×D4—434no—
1938C2×D4—434no—
1939C2×D4—432no—
1940C2×D4—434no—
1941C2×D4—434no—
1942C2×D4—434no—
1943C2×D4—434no—
1944C2×D4—432no—
1945C2×D4—432no—
1946C2×D4—431no—
1947C2×D4—434no—
1948C2×D4—434no—
1949C2×D4—432no—
1950C2×D4—432no—
1951C2×D4—434no—
1952C2×D4—431no—
1953C2×D4—1722no—
1954C2×D4—1722no—
1955C2×D4—1724no—
1956C2×D4—1728no—
1957C2×D4—1728no—
1958C2×D4—1724no—
1959C2×D4—1724no—
1960C2×D4C23×D4314yes—
1961C2×D4C23×D4314yes—
1962C2×D4C23×D4312yes—
1963C2×D4C23×D4312yes—
1964C2×D4C23×D4312yes—
1965C2×D4C23×D4314yes—
1966C22×C4—42no—
1967C22×C4—42no—
1968C22×C4—42no—
1969C22×C4—432no—
1970C22×C4—432no—
1971C22×C4—432no—
1972C22×C4—432no—
1973C22×C4—432no—
1974C22×C4—432no—
1975C22×C4—434no—
1976C22×C4—434no—
1977C22×C4—434no—
1978C22×C4—432no—
1979C22×C4—432no—
1980C22×C4—434no—
1981C22×C4—434no—
1982C22×C4—432no—
1983C22×C4—434no—
1984C22×C4—434no—
1985C22×C4—434no—
1986C22×C4—434no—
1987C22×C4—434no—
1988C22×C4—432no—
1989C22×C4—434no—
1990C22×C4—1724no—
1991C22×C4—1724no—
1992C22×C4C23×D4311yescharacteristic
1993C22×C4C23×D4311yescharacteristic
1994C22×C4C23×D4311yescharacteristic
1995C22×C4C23×D4311yescharacteristic
1996C22×C4C23×D4311yescharacteristic
1997C22×C4C23×D4311yescharacteristic
1998C22×C4C23×D4311yescharacteristic
1999C22×C4C23×D4311yescharacteristic
2000C22×C4C23×D4311yescharacteristic
2001C22×C4C23×D4311yescharacteristic
2002C22×C4C23×D4311yescharacteristic
2003C22×C4C23×D4311yescharacteristic
2004C22×C4C23×D4311yescharacteristic
2005C22×C4C23×D4311yescharacteristic
2006C22×C4C23×D4311yescharacteristic
2007C22×C4C23×D4311yescharacteristic
2008C22×C4C23×D4311yescharacteristic
2009C22×C4C23×D4311yescharacteristic
2010C22×C4C23×D4314yes—
2011C22×C4C23×D4314yes—
2012C22×C4C23×D4314yes—
2013C4⋊C4—432no—
2014C4⋊C4—432no—
2015C4⋊C4—432no—
2016C4⋊C4—432no—
2017C4⋊C4—432no—
2018C4⋊C4—434no—
2019C4⋊C4—434no—
2020C4⋊C4—432no—
2021C4⋊C4—434no—
2022C4⋊C4—432no—
2023C4⋊C4—434no—
2024C4⋊C4—434no—
2025C4⋊C4—434no—
2026C4⋊C4—434no—
2027C4⋊C4—434no—
2028C4⋊C4—432no—
2029C4⋊C4—432no—
2030C4⋊C4—432no—
2031C4⋊C4—432no—
2032C4⋊C4—432no—
2033C4⋊C4—434no—
2034C4⋊C4—434no—
2035C4⋊C4—432no—
2036C4⋊C4—432no—
2037C4⋊C4—432no—
2038C4⋊C4—432no—
2039C4⋊C4—432no—
2040C4⋊C4—434no—
2041C4⋊C4—431no—
2042C4⋊C4—432no—
2043C4⋊C4—432no—
2044C4⋊C4—431no—
2045C4⋊C4—432no—
2046C4⋊C4—434no—
2047C4⋊C4—434no—
2048C4⋊C4—434no—
2049C4⋊C4—434no—
2050C4⋊C4—434no—
2051C4⋊C4—434no—
2052C4⋊C4—431no—
2053C4⋊C4—432no—
2054C4⋊C4—432no—
2055C4⋊C4—431no—
2056C4⋊C4—434no—
2057C4⋊C4—434no—
2058C4⋊C4—434no—
2059C4⋊C4—434no—
2060C4⋊C4—434no—
2061C4⋊C4—434no—
2062C4⋊C4—434no—
2063C4⋊C4—434no—
2064C4⋊C4—434no—
2065C4⋊C4C23×D4312yes—
2066C4⋊C4C23×D4312yes—
2067C4⋊C4C23×D4314yes—
2068C4⋊C4C23×D4314yes—
2069C4⋊C4C23×D4314yes—
2070C4⋊C4C23×D4314yes—
2071C4⋊C4C23×D4314yes—
2072C4⋊C4C23×D4314yes—
2073C4⋊C4C23×D4312yes—
2074C4⋊C4C23×D4312yes—
2075C4⋊C4C23×D4312yes—
2076C4⋊C4C23×D4312yes—
2077C22⋊C4—432no—
2078C22⋊C4—434no—
2079C22⋊C4—432no—
2080C22⋊C4—434no—
2081C22⋊C4—432no—
2082C22⋊C4—434no—
2083C22⋊C4—432no—
2084C22⋊C4—434no—
2085C22⋊C4—434no—
2086C22⋊C4—434no—
2087C22⋊C4—434no—
2088C22⋊C4—434no—
2089C22⋊C4—432no—
2090C22⋊C4—432no—
2091C22⋊C4—432no—
2092C22⋊C4—432no—
2093C22⋊C4—432no—
2094C22⋊C4—434no—
2095C22⋊C4—434no—
2096C22⋊C4—434no—
2097C22⋊C4—434no—
2098C22⋊C4—434no—
2099C22⋊C4—434no—
2100C22⋊C4—434no—
2101C22⋊C4—434no—
2102C22⋊C4—434no—
2103C22⋊C4—432no—
2104C22⋊C4—432no—
2105C22⋊C4—432no—
2106C22⋊C4—432no—
2107C22⋊C4—432no—
2108C22⋊C4—434no—
2109C22⋊C4—434no—
2110C22⋊C4—432no—
2111C22⋊C4—432no—
2112C22⋊C4—432no—
2113C22⋊C4—432no—
2114C22⋊C4—434no—
2115C22⋊C4—432no—
2116C22⋊C4—434no—
2117C22⋊C4—434no—
2118C22⋊C4—434no—
2119C22⋊C4—434no—
2120C22⋊C4—432no—
2121C22⋊C4—434no—
2122C22⋊C4—434no—
2123C22⋊C4—434no—
2124C22⋊C4—434no—
2125C22⋊C4C23×D4314yes—
2126C22⋊C4C23×D4314yes—
2127C22⋊C4C23×D4314yes—
2128C22⋊C4C23×D4314yes—
2129C22⋊C4C23×D4314yes—
2130C22⋊C4C23×D4314yes—
2131C22⋊C4C23×D4314yes—
2132C22⋊C4C23×D4314yes—
2133C22⋊C4C23×D4314yes—
2134C42—432no—
2135C42—434no—
2136C42—434no—
2137C42—432no—
2138C42—432no—
2139C42—432no—
2140C42—434no—
2141C42—434no—
2142C42—434no—
2143C42—434no—
2144C42—434no—
2145C42—434no—
2146C42C23×D4311yescharacteristic
2147C42C23×D4311yescharacteristic
2148C42C23×D4311yescharacteristic
2149C42C23×D4311yescharacteristic
2150C42C23×D4311yescharacteristic
2151C42C23×D4311yescharacteristic
2152C42C23×D4311yescharacteristic
2153C42C23×D4311yescharacteristic
2154C42C23×D4311yescharacteristic
2155C42C23×D4311yescharacteristic
2156C42C23×D4311yescharacteristic
2157C42C23×D4311yescharacteristic
2158C42C23×D4311yescharacteristic
2159C42C23×D4311yescharacteristic
2160C42C23×D4311yescharacteristic
2161C42C23×D4311yescharacteristic
2162C42C23×D4314yes—
2163C42C23×D4314yes—
2164C42C23×D4314yes—
2165C23—22no—
2166C23—22no—
2167C23—41no—
2168C23—432no—
2169C23—434no—
2170C23—432no—
2171C23—864no—
2172C23—864no—
2173C23—1722no—
2174C23—1722no—
2175C23—1722no—
2176C23—1722no—
2177C23—1724no—
2178C23—1724no—
2179C23—1724no—
2180C23C24×D4311yescharacteristic
2181C23C24×D4314yes—
2182C23C24×D4311yescharacteristic
2183C23C24×D4311yescharacteristic
2184Q8—24no—
2185Q8—42no—
2186Q8—42no—
2187Q8—864no—
2188Q8—1721no—
2189Q8—1722no—
2190Q8—1721no—
2191Q8—1722no—
2192Q8—1724no—
2193Q8—1724no—
2194Q8—1724no—
2195D4—28no—
2196D4—28no—
2197D4—24no—
2198D4—42no—
2199D4—42no—
2200D4—44no—
2201D4—864no—
2202D4—868no—
2203D4—864no—
2204D4—864no—
2205D4—1721no—
2206D4—1722no—
2207D4—1722no—
2208D4—1721no—
2209D4—1724no—
2210D4—1724no—
2211D4—1724no—
2212D4—1724no—
2213D4—1722no—
2214D4—1724no—
2215D4—1724no—
2216D4—1724no—
2217D4—1722no—
2218D4—1724no—
2219D4—1724no—
2220D4—1724no—
2221C2×C4—22no—
2222C2×C4—22no—
2223C2×C4—22no—
2224C2×C4—22no—
2225C2×C4—22no—
2226C2×C4—22no—
2227C2×C4—22no—
2228C2×C4—41no—
2229C2×C4—41no—
2230C2×C4—41no—
2231C2×C4—41no—
2232C2×C4—41no—
2233C2×C4—41no—
2234C2×C4—41no—
2235C2×C4—41no—
2236C2×C4—41no—
2237C2×C4—41no—
2238C2×C4—41no—
2239C2×C4—44no—
2240C2×C4—44no—
2241C2×C4—44no—
2242C2×C4—432no—
2243C2×C4—434no—
2244C2×C4—432no—
2245C2×C4—434no—
2246C2×C4—432no—
2247C2×C4—432no—
2248C2×C4—432no—
2249C2×C4—434no—
2250C2×C4—432no—
2251C2×C4—864no—
2252C2×C4—864no—
2253C2×C4—864no—
2254C2×C4—864no—
2255C2×C4—1722no—
2256C2×C4—1724no—
2257C2×C4—1724no—
2258C2×C4—1722no—
2259C2×C4—1724no—
2260C2×C4—1724no—
2261C2×C4—1724no—
2262C2×C4—1724no—
2263C2×C4—1724no—
2264C2×C4—1724no—
2265C2×C4—1722no—
2266C2×C4—1722no—
2267C2×C4—1722no—
2268C2×C4—1722no—
2269C2×C4—1724no—
2270C2×C4—1724no—
2271C2×C4—1724no—
2272C2×C4C24×D4311yescharacteristic
2273C2×C4C24×D4311yescharacteristic
2274C2×C4C24×D4311yescharacteristic
2275C2×C4C24×D4314yes—
2276C2×C4C24×D4314yes—
2277C2×C4C24×D4314yes—
2278C2×C4C24×D4311yescharacteristic
2279C2×C4C24×D4311yescharacteristic
2280C2×C4C24×D4311yescharacteristic
2281C2×C4C24×D4311yescharacteristic
2282C2×C4C24×D4311yescharacteristic
2283C2×C4C24×D4311yescharacteristic
2284C2×C4C24×D4311yescharacteristic
2285C2×C4C24×D4311yescharacteristic
2286C2×C4C24×D4311yescharacteristic
2287C22—21no—
2288C22—21no—
2289C22—21no—
2290C22—21no—
2291C22—21no—
2292C22—21no—
2293C22—21no—
2294C22—24no—
2295C22—24no—
2296C22—24no—
2297C22—44no—
2298C22—862no—
2299C22—862no—
2300C22—864no—
2301C22—862no—
2302C22—862no—
2303C22—864no—
2304C22—864no—
2305C22—862no—
2306C22—862no—
2307C22—3444no—
2308C22—3444no—
2309C22—6884no—
2310C22#1458373512yes—
2311C22#1458373512yes—
2312C22C25×D4311yescharacteristic
2313C4—21no—
2314C4—21no—
2315C4—21no—
2316C4—21no—
2317C4—21no—
2318C4—21no—
2319C4—21no—
2320C4—21no—
2321C4—21no—
2322C4—21no—
2323C4—21no—
2324C4—24no—
2325C4—24no—
2326C4—24no—
2327C4—862no—
2328C4—864no—
2329C4—862no—
2330C4—862no—
2331C4—862no—
2332C4—862no—
2333C4—864no—
2334C4—862no—
2335C4—864no—
2336C4#1458373512yes—
2337C2—22no—
2338C2—22no—
2339C2—41no—
2340C2—44no—
2341C2—1722no—
2342C2—1724no—
2343C2—1722no—
2344C2C2×#1458373511yescharacteristic
2345C2C2×#1458373511yescharacteristic
2346C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3444C2
hypercenter#3444D43
hypocenterC43#62828
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #19149291C2semidirect
2. #19149283C2semidirect
3. #19149255C2semidirect
4. #19149244C2semidirect
5. #19149205C2semidirect
6. #19149187C2semidirect
7. #19149160C2semidirect
8. #19149133C2semidirect
9. #19149118C2semidirect
10. #19149048C2semidirect
11. #19148947C2semidirect
12. #19148798C2semidirect
13. #19148779C2semidirect
14. #19148704C2semidirect
15. #19148663C2semidirect
16. #19148663C2semidirect
17. #19148663C2semidirect
18. #19148632C2semidirect
19. #19148615C2semidirect
20. #19148578C2semidirect
21. #19148529C2semidirect
22. #19148521C2semidirect
23. #19148451C2semidirect
24. #19148430C2semidirect
25. #19148342C2semidirect
26. #19148325C2semidirect
27. #19148307C2semidirect
28. #19148287C2semidirect
29. C2×#14583433C2semidirect
30. C2×#14583433C2semidirect
31. C43×#3444C2semidirect
32. C43⋊#564C22semidirect
33. #14583653C22semidirect
34. #14583653C22semidirect
35. #14583650C22semidirect
36. #14583649C22semidirect
37. #14583647C22semidirect
38. #14583645C22semidirect
39. #14583644C22semidirect
40. #14583643C22semidirect
41. #14583643C22semidirect
42. #14583641C22semidirect
43. #14583637C22semidirect
44. #14583632C22semidirect
45. #14583632C22semidirect
46. #14583631C22semidirect
47. #14583626C22semidirect
48. #14583625C22semidirect
49. #14583621C22semidirect
50. #14583621C22semidirect
51. #14583621C22semidirect
52. #14583618C22semidirect
53. #14583617C22semidirect
54. #14583617C22semidirect
55. #14583617C22semidirect
56. #14583616C22semidirect
57. #14583612C22semidirect
58. #14583612C22semidirect
59. #14583611C22semidirect
60. #14583608C22semidirect
61. #14583608C22semidirect
62. #14583608C22semidirect
63. #14583607C22semidirect
64. #14583605C22semidirect
65. #14583603C22semidirect
66. #14583602C22semidirect
67. #14583601C22semidirect
68. #14583600C22semidirect
69. #14583599C22semidirect
70. #14583599C22semidirect
71. #14583598C22semidirect
72. #14583598C22semidirect
73. #14583598C22semidirect
74. #14583598C22semidirect
75. #14583598C22semidirect
76. #14583593C22semidirect
77. #14583593C22semidirect
78. #14583593C22semidirect
79. #14583592C22semidirect
80. #14583591C22semidirect
81. #14583590C22semidirect
82. #14583590C22semidirect
83. #14583590C22semidirect
84. #14583588C22semidirect
85. #14583588C22semidirect
86. #14583587C22semidirect
87. #14583585C22semidirect
88. #14583582C22semidirect
89. #14583582C22semidirect
90. #14583582C22semidirect
91. #14583582C22semidirect
92. #14583582C22semidirect
93. #14583581C22semidirect
94. #14583581C22semidirect
95. #14583580C22semidirect
96. #14583579C22semidirect
97. #14583578C22semidirect
98. #14583578C22semidirect
99. #14583578C22semidirect
100. #14583578C22semidirect
101. #14583578C22semidirect
102. #14583576C22semidirect
103. #14583574C22semidirect
104. #14583573C22semidirect
105. #14583573C22semidirect
106. #14583573C22semidirect
107. #14583573C22semidirect
108. #14583573C22semidirect
109. #14583568C22semidirect
110. #14583562C22semidirect
111. #14583561C22semidirect
112. #14583557C22semidirect
113. #14583556C22semidirect
114. #14583555C22semidirect
115. #14583549C22semidirect
116. #14583548C22semidirect
117. #14583548C22semidirect
118. #14583548C22semidirect
119. #14583544C22semidirect
120. #14583544C22semidirect
121. #14583544C22semidirect
122. #14583542C22semidirect
123. #14583540C22semidirect
124. #14583538C22semidirect
125. #14583537C22semidirect
126. #14583537C22semidirect
127. #14583537C22semidirect
128. #14583536C22semidirect
129. #14583536C22semidirect
130. #14583533C22semidirect
131. #14583531C22semidirect
132. #14583528C22semidirect
133. #14583526C22semidirect
134. #14583526C22semidirect
135. #14583524C22semidirect
136. #14583523C22semidirect
137. #14583523C22semidirect
138. #14583521C22semidirect
139. #14583521C22semidirect
140. #14583521C22semidirect
141. #14583519C22semidirect
142. #14583517C22semidirect
143. #14583515C22semidirect
144. #14583514C22semidirect
145. #14583514C22semidirect
146. #14583510C22semidirect
147. #14583507C22semidirect
148. #14583507C22semidirect
149. #14583507C22semidirect
150. #14583506C22semidirect
151. #14583503C22semidirect
152. #14583501C22semidirect
153. #14583500C22semidirect
154. #14583500C22semidirect
155. #14583499C22semidirect
157. #14583495C22semidirect
158. #14583494C22semidirect
159. #14583493C22semidirect
160. #14583493C22semidirect
161. #14583492C22semidirect
162. #14583491C22semidirect
163. #14583491C22semidirect
164. #14583491C22semidirect
165. #14583491C22semidirect
166. #14583491C22semidirect
167. #14583490C22semidirect
168. #14583489C22semidirect
169. #14583488C22semidirect
170. #14583486C22semidirect
171. #14583485C22semidirect
172. #14583482C22semidirect
173. #14583482C22semidirect
174. #14583482C22semidirect
175. #14583482C22semidirect
176. #14583482C22semidirect
177. #14583481C22semidirect
178. #14583476C22semidirect
179. #14583474C22semidirect
180. #14583471C22semidirect
181. #14583462C22semidirect
182. #14583460C22semidirect
184. #14583451C22semidirect
186. #14583435C22semidirect
189. #14583433C22semidirect
190. #14583433C22semidirect
191. #14583433C22semidirect
192. #14583433C22semidirect
193. #14583433C22semidirect
194. #14583433C22semidirect
195. #14583433C22semidirect
196. #14583433C22semidirect
197. #14583433C22semidirect
198. #14583433C22semidirect
199. #14583433C22semidirect
200. #14583433C22semidirect
201. #14583433C22semidirect
202. #14583433C22semidirect
203. #14583433C22semidirect
204. #14583433C22semidirect
205. #14583433C22semidirect
206. #14583433C22semidirect
207. #14583433C22semidirect
208. #14583433C22semidirect
209. #14583433C22semidirect
210. #14583430C22semidirect
211. #14583426C22semidirect
212. #14583426C22semidirect
213. C2×#13063319C22semidirect
214. C2×#13063319C22semidirect
215. C2×#13063319C22semidirect
216. C2×#13063317C22semidirect
217. C2×#13063317C22semidirect
218. C2×#13063313C22semidirect
219. C2×#13063313C22semidirect
221. #14583409C22semidirect
222. #14583407C22semidirect
223. C2×#13063308C22semidirect
224. C2×#13063308C22semidirect
225. #123×D43C22semidirect
226. C2×#13063304C22semidirect
227. C2×#13063304C22semidirect
228. C22⋊Q8×D43C22semidirect
231. #121×D43C22semidirect
232. #14583381C22semidirect
233. #14583378C22semidirect
234. #14583378C22semidirect
235. #14583378C22semidirect
236. #14583375C22semidirect
237. #14583371C22semidirect
238. #14583371C22semidirect
239. #14583371C22semidirect
240. C2×C4×Dic86C22semidirect
241. C2×C4×Dic86C22semidirect
242. C2×C4×D172C22semidirect
243. C2×C4×D172C22semidirect
244. C2×C4×C22⋊D43C22semidirect
245. C2×C4×C22⋊D43C22semidirect
246. C2×#13063282C22semidirect
247. C2×#13063282C22semidirect
248. C43×#533C22semidirect
249. C43×#533C22semidirect
250. C43×#533C22semidirect
251. C43×#532C22semidirect
252. C43×#532C22semidirect
253. C43×#532C22semidirect
254. C43×#529C22semidirect
255. C43×#529C22semidirect
256. C43×#529C22semidirect
257. C43×#529C22semidirect
258. C43×#529C22semidirect
259. C43×#529C22semidirect
260. C43×#525C22semidirect
261. C43×#525C22semidirect
262. C43×#525C22semidirect
263. C4×#41×C43C22semidirect
264. C4×#41×C43C22semidirect
265. C4×#41×C43C22semidirect
266. C22×C42×C43C22semidirect
1192. #3444D43semidirect
1358. #533C2×D43semidirect
1359. #533C2×D43semidirect
1360. #533C2×D43semidirect
1362. #532C2×D43semidirect
1363. #532C2×D43semidirect
1364. #532C2×D43semidirect
1392. #529C2×D43semidirect
1393. #529C2×D43semidirect
1394. #529C2×D43semidirect
1395. #529C2×D43semidirect
1396. #529C2×D43semidirect
1397. #529C2×D43semidirect
1408. #525C2×D43semidirect
1409. #525C2×D43semidirect
1410. #525C2×D43semidirect
1428. C4×#41C2×D43semidirect
1429. C4×#41C2×D43semidirect
1430. C4×#41C2×D43semidirect
1439. C22×C42C2×D43semidirect
1440. C43#62828semidirect

Maximal subgroups

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

subgroupindex
#191492912
#191492832
#191492552
#191492442
#191492052
#191491872
#191491602
#191491332
#191491182
#191490482
#191489472
#191487982
#191487792
#191487042
#191486632
#191486322
#191486152
#191485782
#191485292
#191485212
#191484512
#191484302
#191483422
#191483252
#191483072
#191482872
C2×#145834332
C43×#34442
#6282843