Finite Group Databasebeta

← #26005283

Subgroups — #26005283

Order 11008.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149152C212yesmaximal, complemented
2#19149149C212yesmaximal, complemented
3#19149146C214yesmaximal, complemented
4#19149131C212yesmaximal, complemented
5#19149127C212yesmaximal, complemented
6#19149116C212yesmaximal, complemented
7#19149112C212yesmaximal, complemented
8#19148951C214yesmaximal, complemented
9#19148937C212yesmaximal, complemented
10#19148927C212yesmaximal, complemented
11#19148678C212yesmaximal, complemented
12#19148671C212yesmaximal, complemented
13#19148623C212yesmaximal, complemented
14#19148615C212yesmaximal, complemented
15#19148540C212yesmaximal, complemented
16#19148536C212yesmaximal, complemented
17#19148522C214yesmaximal, complemented
18#19148436C211yesmaximal, characteristic, complemented
19#19148425C212yesmaximal, complemented
20#19148359C211yesmaximal, characteristic, complemented
21#19148356C212yesmaximal, complemented
22#19148352C211yesmaximal, characteristic, complemented
23#19148332C212yesmaximal, complemented
24#19148326C214yesmaximal, complemented
25#19148318C212yesmaximal, complemented
26#19148240C212yesmaximal, complemented
27#19148236C212yesmaximal, complemented
28C2×#14583444C211yesmaximal, characteristic, complemented
29C2×#14583435C211yesmaximal, characteristic, complemented
30C2×#14583429C211yesmaximal, characteristic, complemented
31C43×#3505C211yesmaximal, characteristic, complemented
32C2×#13063370C2212yescomplemented
33C2×#13063370C2212yescomplemented
34C22×#10621900C2212yescomplemented
35#14583653C2214yescomplemented
36#14583651C2214yescomplemented
37#14583651C2214yescomplemented
38#14583646C2214yescomplemented
39#14583645C2214yescomplemented
40#14583641C2214yescomplemented
41#14583639C2214yescomplemented
42#14583637C2214yescomplemented
43#14583634C2212yescomplemented
44#14583631C2212yescomplemented
45#14583631C2214yescomplemented
46#14583631C2212yescomplemented
47Q8×Dic86C2212yescomplemented
48#14583614C2214yescomplemented
49#14583612C2214yescomplemented
50#14583612C2212yescomplemented
51#14583607C2212yescomplemented
52#14583607C2214yescomplemented
53#14583606C2212yescomplemented
54#14583605C2212yescomplemented
55#14583605C2212yescomplemented
56#14583602C2214yescomplemented
57#14583601C2214yescomplemented
58#14583601C2212yescomplemented
59#14583600C2214yescomplemented
60#14583600C2214yescomplemented
61#14583598C2214yescomplemented
62#14583598C2214yescomplemented
63#14583597C2214yescomplemented
64#14583597C2212yescomplemented
65#14583595C2214yescomplemented
66#14583595C2214yescomplemented
67#14583593C2212yescomplemented
68#14583591C2212yescomplemented
69#14583582C2214yescomplemented
70#14583576C2214yescomplemented
71#14583575C2214yescomplemented
72#14583574C2214yescomplemented
73#14583574C2214yescomplemented
74#14583573C2214yescomplemented
75#14583573C2214yescomplemented
76#14583572C2214yescomplemented
77#14583572C2214yescomplemented
78#14583572C2214yescomplemented
79#14583570C2212yescomplemented
80#14583568C2212yescomplemented
81#14583560C2212yescomplemented
82#14583558C2214yescomplemented
83#14583553C2214yescomplemented
84#14583553C2214yescomplemented
85#14583553C2212yescomplemented
86#14583553C2212yescomplemented
87#14583553C2214yescomplemented
88#14583553C2214yescomplemented
89#14583550C2212yescomplemented
90#14583549C2214yescomplemented
91#14583549C2212yescomplemented
92#14583549C2214yescomplemented
93#14583547C2214yescomplemented
94#14583547C2214yescomplemented
95#14583547C2214yescomplemented
96#14583547C2214yescomplemented
97#14583544C2214yescomplemented
98#14583544C2214yescomplemented
99#14583544C2214yescomplemented
100#14583544C2214yescomplemented
101#14583544C2214yescomplemented
102#14583544C2214yescomplemented
103#14583541C2214yescomplemented
104#14583541C2214yescomplemented
105#14583541C2214yescomplemented
106#14583540C2212yescomplemented
107#14583540C2212yescomplemented
108#14583539C2214yescomplemented
109#14583539C2214yescomplemented
110#14583538C2214yescomplemented
111#14583538C2214yescomplemented
112#14583538C2214yescomplemented
113#14583537C2212yescomplemented
114#14583536C2214yescomplemented
115#14583536C2214yescomplemented
116#14583536C2214yescomplemented
117#14583536C2214yescomplemented
118D4×D172C2212yescomplemented
119D4×D172C2212yescomplemented
120#14583533C2212yescomplemented
121#14583533C2212yescomplemented
122D4×C22⋊D43C2212yescomplemented
123#14583531C2214yescomplemented
124#14583531C2214yescomplemented
125#14583529C2212yescomplemented
126#14583529C2214yescomplemented
127#14583527C2212yescomplemented
128#14583522C2212yescomplemented
129#14583522C2212yescomplemented
130#14583522C2214yescomplemented
131#14583521C2212yescomplemented
132#14583520C2214yescomplemented
133#14583518C2212yescomplemented
134#14583518C2214yescomplemented
135#14583515C2214yescomplemented
136#14583515C2214yescomplemented
137#14583515C2214yescomplemented
138#14583505C2212yescomplemented
139#14583502C2212yescomplemented
140#14583502C2212yescomplemented
141#14583501C2214yescomplemented
142#14583501C2214yescomplemented
143#14583500C2212yescomplemented
144#14583498C2212yescomplemented
145#14583497C2214yescomplemented
146#14583493C2214yescomplemented
147#14583493C2214yescomplemented
148#14583491C2214yescomplemented
149#14583490C2214yescomplemented
150#14583489C2214yescomplemented
151#14583489C2212yescomplemented
152#14583488C2214yescomplemented
153#14583488C2214yescomplemented
154#14583486C2214yescomplemented
155#14583485C2214yescomplemented
156#14583485C2214yescomplemented
157#14583483C2214yescomplemented
158#14583482C2214yescomplemented
159#14583482C2214yescomplemented
160#14583480C2212yescomplemented
161#14583476C2212yescomplemented
162#14583476C2214yescomplemented
163#14583475C2214yescomplemented
164#14583471C2214yescomplemented
165#14583467C2212yescomplemented
166#14583465C2214yescomplemented
167#14583463C2212yescomplemented
168#14583461C2212yescomplemented
169#14583461C2212yescomplemented
170#14583461C2212yescomplemented
171#14583461C2214yescomplemented
172#14583459C2214yescomplemented
173#14583458C2212yescomplemented
174#14583457C2214yescomplemented
175#14583457C2212yescomplemented
176#14583449C2212yescomplemented
177#14583444C2212yescomplemented
178#14583444C2212yescomplemented
179#14583444C2214yescomplemented
180#14583444C2212yescomplemented
181#14583444C2212yescomplemented
182#14583444C2212yescomplemented
183#14583444C2212yescomplemented
184#14583444C2212yescomplemented
185#14583444C2212yescomplemented
186#14583444C2212yescomplemented
187C2×#13063324C2211yescharacteristic, complemented
188C2×#13063321C2211yescharacteristic, complemented
189#14583435C2212yescomplemented
190#14583435C2212yescomplemented
191#14583435C2212yescomplemented
192#14583435C2212yescomplemented
193#14583435C2212yescomplemented
194#14583435C2212yescomplemented
195#14583435C2212yescomplemented
196#14583435C2212yescomplemented
197#14583435C2212yescomplemented
198#14583429C2212yescomplemented
199#14583429C2214yescomplemented
200#14583429C2212yescomplemented
201#14583429C2212yescomplemented
202#14583429C2212yescomplemented
203#14583429C2212yescomplemented
204#14583429C2212yescomplemented
205#14583429C2212yescomplemented
206#14583429C2212yescomplemented
207C2×#13063320C2211yescharacteristic, complemented
208C2×#13063320C2212yescomplemented
209C2×#13063318C2211yescharacteristic, complemented
210C2×#13063316C2211yescharacteristic, complemented
211C2×#13063315C2211yescharacteristic, complemented
212C2×#13063314C2211yescharacteristic, complemented
213C2×#13063311C2211yescharacteristic, complemented
214C2×#13063311C2212yescomplemented
215#14583412C2212yescomplemented
216#14583411C2214yescomplemented
217#14583408C2214yescomplemented
218#14583405C2214yescomplemented
219C2×#13063309C2211yescharacteristic, complemented
220C2×#13063309C2212yescomplemented
221C2×#13063309C2214yescomplemented
222C2×#13063306C2211yescharacteristic, complemented
223#123×D43C2214yescomplemented
224C2×#13063302C2211yescharacteristic, complemented
225C2×#13063299C2211yescharacteristic
226C2×#13063299C2212yescomplemented
227C2×#13063299C2211yescharacteristic, complemented
228C2×#13063297C2211yescharacteristic
229C2×#13063297C2212yescomplemented
230#121×D43C2212yescomplemented
231#121×D43C2214yescomplemented
232#14583382C2212yescomplemented
233#14583381C2212yescomplemented
234#14583379C2214yescomplemented
235#14583373C2212yescomplemented
236#14583372C2212yescomplemented
237#14583371C2212yescomplemented
238#14583371C2214yescomplemented
239C2×Q8×Dic43C2211yescharacteristic, complemented
240C2×C4×Dic86C2211yescharacteristic, complemented
241C2×D4×Dic43C2211yescharacteristic, complemented
242C2×#13063287C2211yescharacteristic, complemented
243C2×#13063287C2211yescharacteristic, complemented
244C2×C4×C22⋊D43C2211yescharacteristic, complemented
245C2×C4×C22⋊D43C2211yescharacteristic, complemented
246C2×(C22⋊D43)⋊C4C2212yescomplemented
247C2×(C22⋊D43)⋊C4C2212yescomplemented
248C2×#13063284C2211yescharacteristic, complemented
249C2×#13063283C2212yescomplemented
250C2×#13063282C2211yescharacteristic, complemented
251C22×C4×Dic43C2211yescharacteristic, complemented
252C43×#553C2214yescomplemented
253C43×#553C2212yescomplemented
254C43×#552C2212yescomplemented
255C43×#551C2214yescomplemented
256C43×#548C2212yescomplemented
257C43×#546C2212yescomplemented
258C43×#539C2212yescomplemented
259C43×#538C2212yescomplemented
260C43×#534C2212yescomplemented
261C43×#529C2212yescomplemented
262C43×#525C2212yescomplemented
263C2×C22⋊Q8×C43C2211yescharacteristic, complemented
264C2×#121×C43C2211yescharacteristic, complemented
265C43×#518C2212yescomplemented
266C2×C4×D4×C43C2211yescharacteristic, complemented
267#13063370—48no—
268#13063370—48no—
269C2×#10621902C2312yes—
270C2×#10621898C2314yes—
271C2×#10621898C2314yes—
272C2×#10621898C2314yes—
273C2×#10621900—48no—
274C2×#10621900C2314yes—
275C2×#10621900C2314yes—
276C2×#10621900C2314yes—
277C2×#10621900C2314yes—
278C2×#10621900C2314yes—
279C2×#10621900C2314yes—
280C2×#10621900C2314yes—
281C2×#10621900C2314yes—
282C22×Dic86C2311yescharacteristic
283C22×Dic86C2312yes—
284C22×D172C2311yescharacteristic
285C22×D172C2311yescharacteristic
286C22×D172C2312yes—
287C22×C22⋊D43C2312yes—
288C22×C22⋊D43C2311yescharacteristic
289C22×C22⋊D43C2312yes—
290C22×C22⋊D43C2312yes—
291C22×C22⋊D43C2311yescharacteristic
292C22×C22⋊D43C2314yes—
293C22×C22⋊D43C2314yes—
294C22×C22⋊D43C2312yes—
295C2×D4×D43C2314yes—
296C2×D4×D43C2312yes—
297C2×D4×D43C2314yes—
298C2×D4×D43C2314yes—
299C2×D4×D43C2314yes—
300C2×D4×D43C2314yes—
301C23×Dic43C2311yescharacteristic
302C23×Dic43C2311yescharacteristic
303C23×Dic43C2312yes—
304C22×C4×D43C2311yescharacteristic
305C22×C4×D43C2312yes—
306C22×C4×D43C2312yes—
307#13063325C2312yes—
308#13063325C2314yes—
309#13063325C2314yes—
310#13063324C2312yes—
311#13063324C2312yes—
312#13063324C2314yes—
313#13063324C2314yes—
314#13063324C2314yes—
315#13063324C2312yes—
316#13063324C2312yes—
317#13063324C2312yes—
318#13063322C2312yes—
319#13063321C2312yes—
320#13063321C2314yes—
321#13063321C2312yes—
322#13063321C2312yes—
323#13063321C2312yes—
324#13063321C2312yes—
325#13063320C2312yes—
326#13063320C2314yes—
327#13063320C2314yes—
328#13063320C2314yes—
329#13063320C2314yes—
330#13063320C2314yes—
331#13063320C2314yes—
332#13063320C2314yes—
333#13063320C2312yes—
334#13063320C2312yes—
335#13063320C2312yes—
336#13063320C2314yes—
337#13063320C2314yes—
338#13063319C2314yes—
339#13063319C2314yes—
340#13063318C2312yes—
341#13063318C2314yes—
342#13063318C2314yes—
343#13063318C2312yes—
344#13063318C2312yes—
345#13063318C2312yes—
346#13063317C2314yes—
347#13063316C2314yes—
348#13063316C2312yes—
349#13063316C2312yes—
350#13063316C2312yes—
351#13063316C2312yes—
352#13063316C2312yes—
353#13063315C2314yes—
354#13063315C2314yes—
355#13063315C2312yes—
356#13063315C2312yes—
357#13063315C2312yes—
358#13063315C2312yes—
359#13063314C2314yes—
360#13063314C2312yes—
361#13063314C2312yes—
362#13063314C2312yes—
363#13063314C2312yes—
364#13063314C2312yes—
365#13063313C2314yes—
366#13063313C2314yes—
367#13063313C2314yes—
368#13063313C2314yes—
369#13063311C2314yes—
370#13063311C2314yes—
371#13063311C2314yes—
372#13063311C2314yes—
373#13063311C2314yes—
374#13063311C2314yes—
375#13063311C2314yes—
376#13063311C2314yes—
377#13063311C2312yes—
378#13063311C2312yes—
379#13063311C2314yes—
380#13063311C2312yes—
381#13063311C2312yes—
382#13063311C2314yes—
383#13063311C2314yes—
384#13063310C2314yes—
385#13063310C2314yes—
386#13063310C2314yes—
387#13063310C2314yes—
388#13063310C2314yes—
389#13063310C2314yes—
390#13063310C2314yes—
391#13063310C2314yes—
392#13063310C2314yes—
393#13063310C2314yes—
394#13063309C2314yes—
395#13063309C2314yes—
396#13063309C2314yes—
397#13063309C2312yes—
398#13063309C2312yes—
399#13063309C2314yes—
400#13063309C2314yes—
401#13063309C2314yes—
402#13063309C2314yes—
403#13063309C2314yes—
404#13063309C2314yes—
405#13063309C2314yes—
406#13063309C2314yes—
407#13063309C2314yes—
408#13063309C2314yes—
409#13063309C2314yes—
410#13063309C2314yes—
411#13063309C2312yes—
412#13063309C2312yes—
413#13063309C2314yes—
414#13063308C2314yes—
415#13063308C2314yes—
416#13063308C2314yes—
417#13063307C2314yes—
418#13063307C2314yes—
419#13063307C2314yes—
420#13063307C2314yes—
421#13063307C2314yes—
422#13063307C2314yes—
423#13063307C2314yes—
424#13063307C2314yes—
425#13063307C2314yes—
426#13063306C2312yes—
427#13063306C2312yes—
428#13063306C2312yes—
429#13063306C2312yes—
430#13063306C2314yes—
431#13063305C2314yes—
432#13063305C2314yes—
433#13063305C2314yes—
434#13063305C2314yes—
435#13063305C2314yes—
436#13063305C2314yes—
437#13063305C2314yes—
438#13063305C2314yes—
439#13063304C2314yes—
440#13063303C2314yes—
441#13063303C2314yes—
442#13063303C2314yes—
443#13063303C2314yes—
444#13063303C2314yes—
445#13063303C2314yes—
446#13063303C2314yes—
447#13063302C2314yes—
448#13063302C2314yes—
449#13063302C2314yes—
450#13063302C2312yes—
451#13063302C2314yes—
452#13063302C2312yes—
453#13063302C2314yes—
454#13063302C2314yes—
455#13063302C2314yes—
456#13063302C2312yes—
457#13063302C2312yes—
458#13063301C2314yes—
459#13063301C2312yes—
460#13063300C2312yes—
461#13063300C2314yes—
462#13063300C2314yes—
463#13063300C2314yes—
464#13063300C2314yes—
465#13063300C2314yes—
466#13063300C2314yes—
467#13063300C2312yes—
468#13063299C2314yes—
469#13063299C2312yes—
470#13063299C2314yes—
471#13063299C2312yes—
472#13063299C2314yes—
473#13063299C2314yes—
474#13063299C2314yes—
475#13063299C2314yes—
476#13063299C2314yes—
477#13063299C2312yes—
478#13063299C2314yes—
479#13063299C2312yes—
480#13063299C2314yes—
481#13063299C2314yes—
482#13063299C2312yes—
483#13063299C2312yes—
484#13063299C2312yes—
485#13063299C2312yes—
486#13063299C2312yes—
487#13063299C2312yes—
488#13063298C2314yes—
489#13063298C2314yes—
490#13063298C2314yes—
491#13063298C2314yes—
492#13063298C2314yes—
493#13063298C2314yes—
494#13063298C2314yes—
495#13063298C2314yes—
496#13063298C2314yes—
497#13063298C2314yes—
498#13063297C2314yes—
499#13063297C2314yes—
500#13063297C2314yes—
501#13063297C2314yes—
502#13063297C2314yes—
503#13063297C2314yes—
504#13063297C2314yes—
505#13063297C2314yes—
506#13063297C2314yes—
507#13063297C2312yes—
508#13063297C2314yes—
509#13063297C2312yes—
510#13063297C2312yes—
511#13063297C2312yes—
512#13063297C2314yes—
513#13063296C2312yes—
514#13063296C2314yes—
515#13063296C2314yes—
516#13063296C2314yes—
517#13063295C2314yes—
518#13063295C2314yes—
519#13063295C2314yes—
520#13063295C2314yes—
521#13063295C2314yes—
522#13063295C2314yes—
523#13063295C2314yes—
524#13063295C2314yes—
525#13063295C2314yes—
526#13063295C2314yes—
527#13063295C2314yes—
528#13063294C2314yes—
529#13063293C2314yes—
530#13063293C2314yes—
531#13063293C2314yes—
532#13063293C2314yes—
533#13063293C2314yes—
534#13063293C2314yes—
535Q8×Dic43C2312yes—
536Q8×Dic43C2312yes—
537Q8×Dic43C2312yes—
538Q8×Dic43C2312yes—
539Q8×Dic43C2312yes—
540C4×Dic86C2314yes—
541C4×Dic86C2312yes—
542C4×Dic86C2312yes—
543C4×Dic86C2312yes—
544C4×Dic86C2312yes—
545C4×D172C2314yes—
546C4×D172C2314yes—
547C4×D172C2314yes—
548C4×D172C2314yes—
549C4×D172C2312yes—
550C4×D172C2312yes—
551C4×D172C2314yes—
552C4×D172C2314yes—
553D4×Dic43C2312yes—
554D4×Dic43C2314yes—
555D4×Dic43C2314yes—
556D4×Dic43C2314yes—
557D4×Dic43C2312yes—
558D4×Dic43C2312yes—
559D4×Dic43C2312yes—
560D4×Dic43C2312yes—
561#13063287C2312yes—
562#13063287C2312yes—
563#13063287C2312yes—
564#13063287C2314yes—
565#13063287C2314yes—
566#13063287C2312yes—
567#13063287C2312yes—
568#13063287C2312yes—
569#13063287C2312yes—
570#13063287C2312yes—
571#13063287C2312yes—
572#13063287C2312yes—
573C4×C22⋊D43C2312yes—
574C4×C22⋊D43C2314yes—
575C4×C22⋊D43C2314yes—
576C4×C22⋊D43C2312yes—
577C4×C22⋊D43C2314yes—
578C4×C22⋊D43C2312yes—
579C4×C22⋊D43C2312yes—
580C4×C22⋊D43C2312yes—
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(C22⋊D43)⋊C4C2314yes—
596(C22⋊D43)⋊C4C2314yes—
597(C22⋊D43)⋊C4C2314yes—
598(C22⋊D43)⋊C4C2314yes—
599(C22⋊D43)⋊C4C2314yes—
600#13063284C2312yes—
601#13063284C2312yes—
602#13063284C2314yes—
603#13063284C2312yes—
604#13063284C2312yes—
605#13063283C2314yes—
606#13063283C2314yes—
607#13063283C2314yes—
608#13063283C2312yes—
609#13063283C2314yes—
610#13063283C2314yes—
611#13063282C2312yes—
612#13063282C2314yes—
613#13063282C2312yes—
614#13063282C2314yes—
615#13063282C2312yes—
616#13063282C2312yes—
617#13063281C2314yes—
618C2×C4⋊Dic43C2311yescharacteristic
619C2×C4⋊Dic43C2311yescharacteristic
620C2×C4⋊Dic43C2311yescharacteristic
621C2×C4⋊Dic43C2314yes—
622C2×C4⋊Dic43C2314yes—
623C2×C4⋊Dic43C2312yes—
624C2×C4⋊Dic43C2312yes—
625C2×C4⋊Dic43C2311yescharacteristic
626C2×C4⋊Dic43C2312yes—
627C2×C4⋊Dic43C2311yescharacteristic
628C2×Dic43⋊C4C2312yes—
629C2×Dic43⋊C4C2311yescharacteristic
630C2×Dic43⋊C4C2311yescharacteristic
631C2×Dic43⋊C4C2311yescharacteristic
632C2×Dic43⋊C4C2312yes—
633C2×Dic43⋊C4C2311yescharacteristic
634C2×Dic43⋊C4C2311yescharacteristic
635C2×Dic43⋊C4C2311yescharacteristic
636C4⋊C4×D43C2312yes—
637C4⋊C4×D43C2314yes—
638C4⋊C4×D43C2314yes—
639C4⋊C4×D43C2314yes—
640C2×C22⋊Dic43C2312yes—
641C2×C22⋊Dic43C2311yescharacteristic
642C2×C22⋊Dic43C2311yescharacteristic
643C2×C22⋊Dic43C2311yescharacteristic
644C2×C22⋊Dic43C2311yescharacteristic
645C2×(C2×D43)⋊C4C2314yes—
646C2×(C2×D43)⋊C4C2314yes—
647C2×(C2×D43)⋊C4C2312yes—
648C2×(C2×D43)⋊C4C2314yes—
649C2×(C2×D43)⋊C4C2312yes—
650C2×(C2×D43)⋊C4C2311yescharacteristic
651C2×(C2×D43)⋊C4C2311yescharacteristic
652C2×(C2×D43)⋊C4C2312yes—
653C2×(C2×D43)⋊C4C2312yes—
654C2×(C2×D43)⋊C4C2312yes—
655C2×(C2×D43)⋊C4C2311yescharacteristic
656C2×(C2×D43)⋊C4C2311yescharacteristic
657C2×(C2×D43)⋊C4C2312yes—
658C22⋊C4×D43C2314yes—
659C22⋊C4×D43C2314yes—
660C22⋊C4×D43C2314yes—
661C22⋊C4×D43C2314yes—
662C22⋊C4×D43C2314yes—
663C22⋊C4×D43C2314yes—
664C2×C4×Dic43C2311yescharacteristic
665C2×C4×Dic43C2311yescharacteristic
666C2×C4×Dic43C2311yescharacteristic
667C2×C4×Dic43C2311yescharacteristic
668C2×C4×Dic43C2311yescharacteristic
669C2×C4×Dic43C2311yescharacteristic
670C2×C4×Dic43C2311yescharacteristic
671C2×C4×Dic43C2311yescharacteristic
672C2×C4×Dic43C2311yescharacteristic
673C2×C4×Dic43C2311yescharacteristic
674C2×C4×Dic43C2311yescharacteristic
675C2×C4×Dic43C2311yescharacteristic
676C2×C4×Dic43C2312yes—
677C2×C4×Dic43C2311yescharacteristic
678C2×#41×C43C2312yes—
679C22×Q8×C43C2311yescharacteristic
680C22×D4×C43C2311yescharacteristic
681C22×D4×C43C2312yes—
682C22×D4×C43C2311yescharacteristic
683C23×C4×C43C2311yescharacteristic
684C23×C4×C43C2311yescharacteristic
685#126×C43C2314yes—
686#126×C43C2314yes—
687#126×C43C2314yes—
688#125×C43C2312yes—
689#125×C43C2314yes—
690#124×C43C2312yes—
691#124×C43C2314yes—
692#123×C43C2314yes—
693#123×C43C2314yes—
694#123×C43C2314yes—
695#123×C43C2314yes—
696#123×C43C2314yes—
697C22⋊Q8×C43C2312yes—
698C22⋊Q8×C43C2312yes—
699C22⋊Q8×C43C2312yes—
700C22⋊Q8×C43C2312yes—
701C22⋊Q8×C43C2312yes—
702C22⋊Q8×C43C2314yes—
703#121×C43C2312yes—
704#121×C43C2312yes—
705#121×C43C2312yes—
706#121×C43C2312yes—
707#121×C43C2312yes—
708#121×C43C2314yes—
709#121×C43C2314yes—
710#121×C43C2314yes—
711#120×C43C2314yes—
712#120×C43C2314yes—
713C4×Q8×C43C2312yes—
714C4×D4×C43C2314yes—
715C4×D4×C43C2312yes—
716C4×D4×C43C2312yes—
717C4×D4×C43C2314yes—
718C4×D4×C43C2314yes—
719C4×D4×C43C2314yes—
720C4×D4×C43C2312yes—
721C4×D4×C43C2312yes—
722C4×D4×C43C2312yes—
723C4×D4×C43C2314yes—
724#117×C43C2314yes—
725#117×C43C2314yes—
726#117×C43C2312yes—
727C2×C4⋊C4×C43C2311yescharacteristic
728C2×C4⋊C4×C43C2311yescharacteristic
729C2×C4⋊C4×C43C2312yes—
730C2×C4⋊C4×C43C2311yescharacteristic
731C2×C22⋊C4×C43C2311yescharacteristic
732C2×C22⋊C4×C43C2311yescharacteristic
733C2×C22⋊C4×C43C2314yes—
734C2×C22⋊C4×C43C2312yes—
735C2×C22⋊C4×C43C2312yes—
736C2×C42×C43C2311yescharacteristic
737C24×C43C2412yes—
738C24×C43C2411yescharacteristic
739C24×C43C2411yescharacteristic
740C23×D43C2412yes—
741C23×D43C2412yes—
742C23×D43C2411yescharacteristic
743C23×D43C2414yes—
744C23×D43C2414yes—
745#41×C43—44no—
746C2×Q8×C43—42no—
747C2×Q8×C43C2412yes—
748C2×Q8×C43C2412yes—
749C2×D4×C43—28no—
750C2×D4×C43—24no—
751C2×D4×C43—42no—
752C2×D4×C43C2412yes—
753C2×D4×C43C2414yes—
754C2×D4×C43C2414yes—
755C2×D4×C43C2412yes—
756C2×D4×C43C2412yes—
757C2×D4×C43C2414yes—
758C2×D4×C43C2414yes—
759C2×D4×C43C2412yes—
760C22×C4×C43—42no—
761C22×C4×C43—42no—
762C22×C4×C43C2411yescharacteristic
763C22×C4×C43C2411yescharacteristic
764C22×C4×C43C2412yes—
765C22×C4×C43C2411yescharacteristic
766C22×C4×C43C2411yescharacteristic
767C22×C4×C43C2412yes—
768C22×C4×C43C2411yescharacteristic
769C22×C4×C43C2411yescharacteristic
770C22×C4×C43C2412yes—
771C22×C4×C43C2411yescharacteristic
772C22×C4×C43C2412yes—
773C22×C4×C43C2411yescharacteristic
774C22×C4×C43C2414yes—
775C22×C4×C43C2414yes—
776C22×C4×C43C2411yescharacteristic
777C22×C4×C43C2412yes—
778C2×C22⋊D43—28no—
779C2×C22⋊D43—24no—
780C2×C22⋊D43—28no—
781C2×C22⋊D43—44no—
782C2×C22⋊D43—48no—
783C2×C22⋊D43—48no—
784C2×C22⋊D43—42no—
785C2×C22⋊D43—44no—
786C2×C22⋊D43C2414yes—
787C2×C22⋊D43C2412yes—
788C2×C22⋊D43C2414yes—
789C2×C22⋊D43C2414yes—
790C2×C22⋊D43C2414yes—
791C2×C22⋊D43C2412yes—
792C2×C22⋊D43C2414yes—
793C2×C22⋊D43C2412yes—
794C2×C22⋊D43C2414yes—
795C2×C22⋊D43C2414yes—
796C2×C22⋊D43C2414yes—
797C2×C22⋊D43C2412yes—
798C2×C22⋊D43C2414yes—
799C2×C22⋊D43C2414yes—
800C2×C22⋊D43C2414yes—
801C2×C22⋊D43C2414yes—
802C2×C22⋊D43C2414yes—
803C2×C22⋊D43C2414yes—
804C22×Dic43—24no—
805C22×Dic43—44no—
806C22×Dic43—42no—
807C22×Dic43C2411yescharacteristic
808C22×Dic43C2411yescharacteristic
809C22×Dic43C2411yescharacteristic
810C22×Dic43C2411yescharacteristic
811C22×Dic43C2411yescharacteristic
812C22×Dic43C2411yescharacteristic
813C22×Dic43C2411yescharacteristic
814C22×Dic43C2411yescharacteristic
815C22×Dic43C2411yescharacteristic
816C22×Dic43C2412yes—
817C22×Dic43C2411yescharacteristic
818C22×Dic43C2412yes—
819C22×Dic43C2411yescharacteristic
820C22×Dic43C2411yescharacteristic
821C22×Dic43C2411yescharacteristic
822C22×Dic43C2411yescharacteristic
823C22×Dic43C2414yes—
824C22×Dic43C2414yes—
825C22×Dic43C2414yes—
826C22×Dic43C2411yescharacteristic
827C22×Dic43C2414yes—
828#10621902—44no—
829#10621900—48no—
830#10621900—48no—
831#10621900—48no—
832#10621900—48no—
833#10621900—48no—
834#10621900—48no—
835#10621900—48no—
836#10621900—48no—
837D4×D43—48no—
838D4×D43—48no—
839D4×D43—48no—
840D4×D43—48no—
841D4×D43—44no—
842D4×D43—48no—
843#10621898—48no—
844#10621898—48no—
845#10621898—48no—
846C2×D172—42no—
847C2×D172—42no—
848C2×D172—44no—
849C2×D172C2412yes—
850C2×D172C2412yes—
851C2×D172C2412yes—
852C2×D172C2412yes—
853C2×D172C2414yes—
854C2×D172C2414yes—
855C2×D172C2414yes—
856C2×D172C2414yes—
857C2×D172C2414yes—
858C2×D172C2414yes—
859C2×C4×D43—44no—
860C2×C4×D43—44no—
861C2×C4×D43—42no—
862C2×C4×D43C2412yes—
863C2×C4×D43C2414yes—
864C2×C4×D43C2414yes—
865C2×C4×D43C2414yes—
866C2×C4×D43C2412yes—
867C2×C4×D43C2414yes—
868C2×C4×D43C2414yes—
869C2×C4×D43C2414yes—
870C2×C4×D43C2414yes—
871C2×C4×D43C2414yes—
872C2×C4×D43C2414yes—
873C2×C4×D43C2414yes—
874C2×Dic86—42no—
875C2×Dic86—44no—
876C2×Dic86C2412yes—
877C2×Dic86C2412yes—
878C2×Dic86C2414yes—
879C2×Dic86C2414yes—
880C2×Dic86C2414yes—
881C2×Dic86C2414yes—
882C4⋊C4×C43C2412yes—
883C4⋊C4×C43C2414yes—
884C4⋊C4×C43C2412yes—
885C4⋊C4×C43C2412yes—
886C4⋊C4×C43C2412yes—
887C4⋊C4×C43C2412yes—
888C4⋊C4×C43C2414yes—
889C4⋊C4×C43C2412yes—
890C4⋊C4×C43C2414yes—
891C4⋊C4×C43C2414yes—
892C4⋊C4×C43C2414yes—
893C4⋊C4×C43C2414yes—
894C22⋊C4×C43C2412yes—
895C22⋊C4×C43C2414yes—
896C22⋊C4×C43C2414yes—
897C22⋊C4×C43C2412yes—
898C22⋊C4×C43C2414yes—
899C22⋊C4×C43C2412yes—
900C22⋊C4×C43C2414yes—
901C22⋊C4×C43C2414yes—
902C22⋊C4×C43C2412yes—
903C22⋊C4×C43C2414yes—
904C22⋊C4×C43C2414yes—
905C22⋊C4×C43C2414yes—
906C22⋊C4×C43C2414yes—
907C22⋊C4×C43C2414yes—
908C42×C43C2412yes—
909C42×C43C2412yes—
910C42×C43C2414yes—
911C42×C43C2414yes—
912C22⋊Dic43C2412yes—
913C22⋊Dic43C2412yes—
914C22⋊Dic43C2412yes—
915C22⋊Dic43C2412yes—
916C22⋊Dic43C2414yes—
917C22⋊Dic43C2414yes—
918C22⋊Dic43C2412yes—
919C22⋊Dic43C2412yes—
920C22⋊Dic43C2412yes—
921C22⋊Dic43C2412yes—
922C22⋊Dic43C2414yes—
923C22⋊Dic43C2414yes—
924(C2×D43)⋊C4C2412yes—
925(C2×D43)⋊C4C2414yes—
926(C2×D43)⋊C4C2414yes—
927(C2×D43)⋊C4C2414yes—
928(C2×D43)⋊C4C2414yes—
929(C2×D43)⋊C4C2414yes—
930(C2×D43)⋊C4C2414yes—
931(C2×D43)⋊C4C2414yes—
932(C2×D43)⋊C4C2414yes—
933(C2×D43)⋊C4C2414yes—
934(C2×D43)⋊C4C2414yes—
935(C2×D43)⋊C4C2412yes—
936(C2×D43)⋊C4C2412yes—
937(C2×D43)⋊C4C2414yes—
938(C2×D43)⋊C4C2414yes—
939(C2×D43)⋊C4C2412yes—
940(C2×D43)⋊C4C2412yes—
941(C2×D43)⋊C4C2414yes—
942(C2×D43)⋊C4C2414yes—
943(C2×D43)⋊C4C2414yes—
944(C2×D43)⋊C4C2414yes—
945(C2×D43)⋊C4C2414yes—
946(C2×D43)⋊C4C2414yes—
947(C2×D43)⋊C4C2412yes—
948(C2×D43)⋊C4C2412yes—
949(C2×D43)⋊C4C2412yes—
950(C2×D43)⋊C4C2414yes—
951(C2×D43)⋊C4C2414yes—
952(C2×D43)⋊C4C2414yes—
953(C2×D43)⋊C4C2414yes—
954(C2×D43)⋊C4C2414yes—
955(C2×D43)⋊C4C2414yes—
956C4⋊Dic43C2414yes—
957C4⋊Dic43C2412yes—
958C4⋊Dic43C2414yes—
959C4⋊Dic43C2414yes—
960C4⋊Dic43C2412yes—
961C4⋊Dic43C2412yes—
962C4⋊Dic43C2412yes—
963C4⋊Dic43C2414yes—
964C4⋊Dic43C2414yes—
965C4⋊Dic43C2412yes—
966C4⋊Dic43C2412yes—
967C4⋊Dic43C2412yes—
968C4⋊Dic43C2412yes—
969C4⋊Dic43C2414yes—
970C4⋊Dic43C2414yes—
971C4⋊Dic43C2412yes—
972C4⋊Dic43C2414yes—
973C4⋊Dic43C2412yes—
974Dic43⋊C4C2412yes—
975Dic43⋊C4C2412yes—
976Dic43⋊C4C2412yes—
977Dic43⋊C4C2414yes—
978Dic43⋊C4C2414yes—
979Dic43⋊C4C2414yes—
980Dic43⋊C4C2412yes—
981Dic43⋊C4C2412yes—
982Dic43⋊C4C2412yes—
983Dic43⋊C4C2412yes—
984Dic43⋊C4C2414yes—
985Dic43⋊C4C2414yes—
986Dic43⋊C4C2414yes—
987Dic43⋊C4C2412yes—
988Dic43⋊C4C2412yes—
989Dic43⋊C4C2412yes—
990Dic43⋊C4C2412yes—
991Dic43⋊C4C2412yes—
992Dic43⋊C4C2414yes—
993Dic43⋊C4C2414yes—
994C4×Dic43C2411yescharacteristic
995C4×Dic43C2411yescharacteristic
996C4×Dic43C2411yescharacteristic
997C4×Dic43C2411yescharacteristic
998C4×Dic43C2411yescharacteristic
999C4×Dic43C2411yescharacteristic
1000C4×Dic43C2411yescharacteristic
1001C4×Dic43C2411yescharacteristic
1002C4×Dic43C2411yescharacteristic
1003C4×Dic43C2411yescharacteristic
1004C4×Dic43C2411yescharacteristic
1005C4×Dic43C2411yescharacteristic
1006C4×Dic43C2411yescharacteristic
1007C4×Dic43C2411yescharacteristic
1008C4×Dic43C2411yescharacteristic
1009C4×Dic43C2411yescharacteristic
1010C4×Dic43C2414yes—
1011C4×Dic43C2412yes—
1012C4×Dic43C2414yes—
1013C4×Dic43C2412yes—
1014C4×Dic43C2414yes—
1015C4×Dic43C2414yes—
1016C23×C43—24no—
1017C23×C43—22no—
1018C23×C43—41no—
1019C23×C43—41no—
1020C23×C43—42no—
1021C23×C43—41no—
1022C23×C43—41no—
1023C23×C43—42no—
1024C23×C43H(5,𝔽2)14yes—
1025C23×C43C2512yes—
1026C23×C43C2514yes—
1027C23×C43C2511yescharacteristic
1028C23×C43C2511yescharacteristic
1029C23×C43C2511yescharacteristic
1030C22×D43—24no—
1031C22×D43—24no—
1032C22×D43—22no—
1033C22×D43—41no—
1034C22×D43—42no—
1035C22×D43—42no—
1036C22×D43—42no—
1037C22×D43—41no—
1038C22×D43—42no—
1039C22×D43—44no—
1040C22×D43—44no—
1041C22×D43—44no—
1042C22×D43—44no—
1043C22×D43—44no—
1044C22×D43—44no—
1045C22×D43C2512yes—
1046C22×D43C2514yes—
1047C22×D43C2514yes—
1048Q8×C43—24no—
1049Q8×C43—42no—
1050D4×C43—24no—
1051D4×C43—24no—
1052D4×C43—28no—
1053D4×C43—28no—
1054D4×C43—24no—
1055D4×C43—44no—
1056D4×C43—42no—
1057D4×C43—44no—
1058C2×C4×C43—24no—
1059C2×C4×C43—22no—
1060C2×C4×C43—22no—
1061C2×C4×C43—22no—
1062C2×C4×C43—22no—
1063C2×C4×C43—24no—
1064C2×C4×C43—41no—
1065C2×C4×C43—42no—
1066C2×C4×C43—44no—
1067C2×C4×C43—42no—
1068C2×C4×C43—41no—
1069C2×C4×C43—41no—
1070C2×C4×C43—41no—
1071C2×C4×C43—41no—
1072C2×C4×C43—42no—
1073C2×C4×C43—44no—
1074C2×C4×C43C2511yescharacteristic
1075C2×C4×C43C2511yescharacteristic
1076C2×C4×C43C2511yescharacteristic
1077C2×C4×C43C2514yes—
1078C2×C4×C43C2514yes—
1079C2×C4×C43C2512yes—
1080C2×C4×C43C2514yes—
1081C2×C4×C43C2512yes—
1082C2×C4×C43C2512yes—
1083C2×C4×C43C2511yescharacteristic
1084C22⋊D43—24no—
1085C22⋊D43—28no—
1086C22⋊D43—28no—
1087C22⋊D43—28no—
1088C22⋊D43—24no—
1089C22⋊D43—28no—
1090C22⋊D43—28no—
1091C22⋊D43—24no—
1092C22⋊D43—44no—
1093C22⋊D43—44no—
1094C22⋊D43—44no—
1095C22⋊D43—44no—
1096C22⋊D43—44no—
1097C22⋊D43—44no—
1098C22⋊D43—44no—
1099C22⋊D43—44no—
1100C22⋊D43—42no—
1101C22⋊D43—44no—
1102C2×Dic43—22no—
1103C2×Dic43—24no—
1104C2×Dic43—22no—
1105C2×Dic43—22no—
1106C2×Dic43—22no—
1107C2×Dic43—22no—
1108C2×Dic43—22no—
1109C2×Dic43—24no—
1110C2×Dic43—22no—
1111C2×Dic43—22no—
1112C2×Dic43—22no—
1113C2×Dic43—22no—
1114C2×Dic43—41no—
1115C2×Dic43—41no—
1116C2×Dic43—44no—
1117C2×Dic43—44no—
1118C2×Dic43—44no—
1119C2×Dic43—44no—
1120C2×Dic43—41no—
1121C2×Dic43—41no—
1122C2×Dic43—41no—
1123C2×Dic43C2511yescharacteristic
1124C2×Dic43C2511yescharacteristic
1125C2×Dic43C2511yescharacteristic
1126C2×Dic43C2512yes—
1127C2×Dic43C2511yescharacteristic
1128C2×Dic43C2511yescharacteristic
1129C2×Dic43C2511yescharacteristic
1130C2×Dic43C2511yescharacteristic
1131C2×Dic43C2512yes—
1132C2×Dic43C2514yes—
1133C2×Dic43C2512yes—
1134C2×Dic43C2514yes—
1135C2×Dic43C2511yescharacteristic
1136D172—24no—
1137D172—24no—
1138D172—44no—
1139D172—42no—
1140D172—42no—
1141D172—44no—
1142D172—44no—
1143D172—44no—
1144D172—44no—
1145D172—44no—
1146C4×D43—24no—
1147C4×D43—28no—
1148C4×D43—42no—
1149C4×D43—44no—
1150C4×D43—44no—
1151C4×D43—44no—
1152C4×D43—44no—
1153C4×D43—44no—
1154C4×D43—44no—
1155C4×D43—44no—
1156C4×D43—44no—
1157C4×D43—44no—
1158Dic86—24no—
1159Dic86—42no—
1160Dic86—44no—
1161Dic86—44no—
1162Dic86—44no—
1163Dic86—44no—
1164#62822—431nomaximal, Sylow
1165C22×C43—21no—
1166C22×C43—21no—
1167C22×C43—21no—
1168C22×C43—21no—
1169C22×C43—21no—
1170C22×C43—21no—
1171C22×C43—22no—
1172C22×C43—24no—
1173C22×C43—22no—
1174C22×C43—22no—
1175C22×C43—24no—
1176C22×C43—24no—
1177C22×C43—44no—
1178C22×C43—84no—
1179C22×C43—82no—
1180C22×C43C2×H(5,𝔽2)12yes—
1181C22×C43C2×H(5,𝔽2)12yes—
1182C22×C43C2×H(5,𝔽2)12yes—
1183C22×C43C2611yescharacteristic
1184C2×D43—22no—
1185C2×D43—24no—
1186C2×D43—24no—
1187C2×D43—22no—
1188C2×D43—24no—
1189C2×D43—24no—
1190C2×D43—22no—
1191C2×D43—24no—
1192C2×D43—24no—
1193C2×D43—84no—
1194C2×D43—84no—
1195C2×D43—82no—
1196C2×D43—164no—
1197C2×D43—164no—
1198C4×C43—24no—
1199C4×C43—22no—
1200C4×C43—22no—
1201C4×C43—24no—
1202C4×C43—21no—
1203C4×C43—24no—
1204C4×C43—22no—
1205C4×C43—21no—
1206C4×C43—21no—
1207C4×C43#58512yes—
1208Dic43—21no—
1209Dic43—21no—
1210Dic43—24no—
1211Dic43—22no—
1212Dic43—24no—
1213Dic43—21no—
1214Dic43—21no—
1215Dic43—22no—
1216Dic43—21no—
1217Dic43—22no—
1218Dic43—21no—
1219Dic43—21no—
1220Dic43#58512yes—
1221#3560—434no—
1222#3560—432no—
1223#3560—432no—
1224#3559—432no—
1225#3559—432no—
1226#3558—432no—
1227#3558—432no—
1228#3545—434no—
1229#3544—432no—
1230#3543—432no—
1231#3522—432no—
1232#3522—432no—
1233#3519—432no—
1234#3519—432no—
1235#3513—432no—
1236#3513—434no—
1237#3513—432no—
1238#3505—431no—
1239#3505—432no—
1240#3505D4311yescharacteristic, complemented
1241#3496—432no—
1242#3496—431no—
1243#3496—431no—
1244#3494—434no—
1245#3494—432no—
1246#3494—432no—
1247#3485—432no—
1248#3485—432no—
1249C2×#532—431no—
1250C2×#529—431no—
1251C2×#529—431no—
1252C2×C43—22no—
1253C2×C43—22no—
1254C2×C43—22no—
1255C2×C43—42no—
1256C2×C43—44no—
1257C2×C43C22×H(5,𝔽2)11yescharacteristic
1258C2×C43C2×#58511yescharacteristic
1259C2×C43C2×#58511yescharacteristic
1260D43—44no—
1261D43—42no—
1262D43—44no—
1263C2×H(5,𝔽2)—432no—
1264C2×H(5,𝔽2)—432no—
1265C22×#41—432no—
1266#563—434no—
1267#563—434no—
1268#563—434no—
1269#562—434no—
1270#562—434no—
1271H(3,𝔽4)—434no—
1272#560—434no—
1273#560—434no—
1274#559—432no—
1275#559—434no—
1276#559—432no—
1277#559—432no—
1278Q82—432no—
1279#555—434no—
1280#555—434no—
1281#555—432no—
1282#554—432no—
1283#554—432no—
1284#554—434no—
1285#554—432no—
1286#554—432no—
1287#553—434no—
1288#553—434no—
1289#553—434no—
1290#553—434no—
1291#553—432no—
1292#553—434no—
1293#553—434no—
1294#553—434no—
1295#553—434no—
1296#553—432no—
1297#553—434no—
1298#553—432no—
1299#553C2×D4314yescomplemented
1300#553C2×D4312yescomplemented
1301#552—432no—
1302#552—434no—
1303#552C2×D4312yescomplemented
1304#551—434no—
1305#551—434no—
1306#551—434no—
1307#551—434no—
1308#551—434no—
1309#551—434no—
1310#551—434no—
1311#551—434no—
1312#551—434no—
1313#551C2×D4314yescomplemented
1314#550—432no—
1315#550—432no—
1316#548—432no—
1317#548—434no—
1318#548C2×D4312yescomplemented
1319#547—434no—
1320#547—434no—
1321#547—434no—
1322#547—434no—
1323#547—434no—
1324#547—434no—
1325#547—432no—
1326#547—434no—
1327#547—434no—
1328#547—434no—
1329#547—434no—
1330#547—432no—
1331#547—432no—
1332#547—432no—
1333#546—432no—
1334#546—434no—
1335#546—434no—
1336#546—434no—
1337#546—432no—
1338#546—432no—
1339#546—434no—
1340#546—434no—
1341#546—434no—
1342#546—434no—
1343#546—434no—
1344#546—434no—
1345#546—434no—
1346#546—434no—
1347#546—434no—
1348#546—434no—
1349#546—434no—
1350#546—434no—
1351#546—434no—
1352#546—434no—
1353#546—434no—
1354#546C2×D4312yescomplemented
1355D42—432no—
1356D42—432no—
1357D42—432no—
1358D42—434no—
1359D42—434no—
1360D42—432no—
1361D42—432no—
1362#544—434no—
1363#544—432no—
1364#544—432no—
1365#542—434no—
1366#542—434no—
1367#542—434no—
1368#542—432no—
1369#542—434no—
1370#542—432no—
1371#542—432no—
1372#542—434no—
1373#542—432no—
1374#542—434no—
1375#540—432no—
1376#540—434no—
1377#540—434no—
1378#540—432no—
1379#540—432no—
1380#540—432no—
1381#539—434no—
1382#539—434no—
1383#539—434no—
1384#539—434no—
1385#539—432no—
1386#539—434no—
1387#539C2×D4312yescomplemented
1388#538—434no—
1389#538—434no—
1390#538—434no—
1391#538—434no—
1392#538—434no—
1393#538—432no—
1394#538—434no—
1395#538—434no—
1396#538—434no—
1397#538—434no—
1398#538C2×D4312yescomplemented
1399#537—434no—
1400#537—432no—
1401#537—432no—
1402#536—434no—
1403#536—434no—
1404#535—432no—
1405#535—432no—
1406#535—434no—
1407#534—432no—
1408#534—432no—
1409#534—434no—
1410#534—434no—
1411#534—432no—
1412#534—432no—
1413#534—434no—
1414#534—432no—
1415#534C2×D4312yescomplemented
1416#532—432no—
1417#532—432no—
1418#532—432no—
1419#532—432no—
1420#532—432no—
1421#532—432no—
1422#532—432no—
1423#532—432no—
1424#532—432no—
1425#532—434no—
1426#532—432no—
1427C2×C4⋊Q8—431no—
1428C2×#127—431no—
1429#529—432no—
1430#529—432no—
1431#529—432no—
1432#529—432no—
1433#529—432no—
1434#529—432no—
1435#529—432no—
1436#529—432no—
1437#529—432no—
1438#529—432no—
1439#529—432no—
1440#529—432no—
1441#529—432no—
1442#529—432no—
1443#529—432no—
1444#529—432no—
1445#529—432no—
1446#529—434no—
1447#529C2×D4312yescomplemented
1448C2×#126—431no—
1449C2×#126—432no—
1450C2×#126—431no—
1451C2×#125—431no—
1452C2×#125—431no—
1453C2×#124—431no—
1454C2×#124—431no—
1455C2×#124—432no—
1456#525—432no—
1457#525—434no—
1458#525—434no—
1459#525—434no—
1460#525C2×D4312yescomplemented
1461C2×#123—431no—
1462C2×#123—434no—
1463C2×#123—432no—
1464C2×#123—431no—
1465C2×#123—434no—
1466C2×C22⋊Q8—431no—
1467C2×C22⋊Q8C2×D4311yescharacteristic, complemented
1468C2×#121—431no—
1469C2×#121—432no—
1470C2×#121—431no—
1471C2×#121—431no—
1472C2×#121—432no—
1473C2×#121—434no—
1474C2×#121—432no—
1475C2×#121C2×D4311yescharacteristic, complemented
1476#520—432no—
1477#520—432no—
1478#520—434no—
1479#518—434no—
1480#518—432no—
1481#518—432no—
1482#518—432no—
1483#518C2×D4312yescomplemented
1484C2×C4×Q8—431no—
1485C2×C4×Q8—431no—
1486C2×C4×D4—431no—
1487C2×C4×D4—431no—
1488C2×C4×D4—431no—
1489C2×C4×D4—431no—
1490C2×C4×D4—431no—
1491C2×C4×D4—432no—
1492C2×C4×D4—432no—
1493C2×C4×D4C2×D4311yescharacteristic, complemented
1494C2×#117—431no—
1495C2×#117—432no—
1496C2×#117—431no—
1497C22×C42—431no—
1498C43#6282211yescharacteristic, complemented, Sylow
1499H(5,𝔽2)—1728no—
1500H(5,𝔽2)—1728no—
1501C2×#41—432no—
1502C2×#41—434no—
1503C2×#41—434no—
1504C2×#41—434no—
1505C2×#41—434no—
1506C2×#41—434no—
1507C2×#41—434no—
1508C2×#41—434no—
1509C2×#41—434no—
1510C2×#41—434no—
1511C2×#41—434no—
1512C2×#41—434no—
1513C2×#41—1728no—
1514C2×#41C22×D4312yes—
1515C22×Q8—431no—
1516C22×Q8—432no—
1517C22×Q8C22×D4311yescharacteristic
1518C22×D4—431no—
1519C22×D4—432no—
1520C22×D4—432no—
1521C22×D4—431no—
1522C22×D4—432no—
1523C22×D4—434no—
1524C22×D4—434no—
1525C22×D4—432no—
1526C22×D4—434no—
1527C22×D4—432no—
1528C22×D4—434no—
1529C22×D4—434no—
1530C22×D4—434no—
1531C22×D4—434no—
1532C22×D4—431no—
1533C22×D4—431no—
1534C22×D4—432no—
1535C22×D4C22×D4311yescharacteristic
1536C22×D4C22×D4312yes—
1537C22×D4C22×D4311yescharacteristic
1538C23×C4—431no—
1539C23×C4—431no—
1540C23×C4—432no—
1541C23×C4—432no—
1542C23×C4—431no—
1543C23×C4—432no—
1544C23×C4C22×D4311yescharacteristic
1545C23×C4C22×D4311yescharacteristic
1546C4⋊Q8—432no—
1547C4⋊Q8—432no—
1548C4⋊Q8—432no—
1549C4⋊Q8—432no—
1550C4⋊Q8—434no—
1551C4⋊Q8—432no—
1552C4⋊Q8—434no—
1553C4⋊Q8—434no—
1554C4⋊Q8—432no—
1555C4⋊Q8—434no—
1556C4⋊Q8—434no—
1557#127—432no—
1558#127—432no—
1559#127—432no—
1560#127—432no—
1561#127—434no—
1562#127—432no—
1563#127—432no—
1564#126—432no—
1565#126—434no—
1566#126—432no—
1567#126—434no—
1568#126—432no—
1569#126—434no—
1570#126—432no—
1571#126—434no—
1572#126—434no—
1573#126—434no—
1574#126—434no—
1575#126—434no—
1576#126—434no—
1577#126—432no—
1578#126—432no—
1579#126—432no—
1580#126—432no—
1581#126—434no—
1582#126—434no—
1583#126—434no—
1584#126—434no—
1585#126C22×D4314yes—
1586#126C22×D4314yes—
1587#126C22×D4314yes—
1588#125—432no—
1589#125—432no—
1590#125—432no—
1591#125—432no—
1592#125—432no—
1593#125—432no—
1594#125—432no—
1595#125—432no—
1596#125—434no—
1597#125—432no—
1598#125—434no—
1599#125—434no—
1600#125—434no—
1601#125C22×D4312yes—
1602#125C22×D4314yes—
1603#124—432no—
1604#124—432no—
1605#124—432no—
1606#124—432no—
1607#124—432no—
1608#124—434no—
1609#124—432no—
1610#124—432no—
1611#124—432no—
1612#124—432no—
1613#124—434no—
1614#124—434no—
1615#124—434no—
1616#124—434no—
1617#124—434no—
1618#124—434no—
1619#124—434no—
1620#124—434no—
1621#124—434no—
1622#124—434no—
1623#124—434no—
1624#124—434no—
1625#124—434no—
1626#124—434no—
1627#124—434no—
1628#124C22×D4312yes—
1629#124C22×D4314yes—
1630#123—432no—
1631#123—432no—
1632#123—432no—
1633#123—432no—
1634#123—434no—
1635#123—434no—
1636#123—434no—
1637#123—434no—
1638#123—434no—
1639#123—434no—
1640#123—434no—
1641#123—434no—
1642#123—434no—
1643#123—434no—
1644#123—434no—
1645#123—434no—
1646#123—434no—
1647#123—434no—
1648#123—434no—
1649#123—432no—
1650#123—434no—
1651#123—432no—
1652#123—434no—
1653#123—432no—
1654#123—434no—
1655#123—432no—
1656#123—434no—
1657#123—434no—
1658#123—434no—
1659#123—434no—
1660#123—434no—
1661#123—434no—
1662#123—434no—
1663#123—434no—
1664#123—434no—
1665#123—434no—
1666#123—434no—
1667#123—434no—
1668#123—434no—
1669#123—434no—
1670#123—434no—
1671#123—434no—
1672#123—434no—
1673#123—434no—
1674#123—434no—
1675#123—434no—
1676#123—434no—
1677#123C22×D4314yes—
1678#123C22×D4314yes—
1679#123C22×D4314yes—
1680#123C22×D4314yes—
1681#123C22×D4314yes—
1682C22⋊Q8—432no—
1683C22⋊Q8—434no—
1684C22⋊Q8—434no—
1685C22⋊Q8—434no—
1686C22⋊Q8—434no—
1687C22⋊Q8—434no—
1688C22⋊Q8—434no—
1689C22⋊Q8—434no—
1690C22⋊Q8—434no—
1691C22⋊Q8—434no—
1692C22⋊Q8—434no—
1693C22⋊Q8—434no—
1694C22⋊Q8—434no—
1695C22⋊Q8—434no—
1696C22⋊Q8—434no—
1697C22⋊Q8—434no—
1698C22⋊Q8—434no—
1699C22⋊Q8—434no—
1700C22⋊Q8—432no—
1701C22⋊Q8—432no—
1702C22⋊Q8—432no—
1703C22⋊Q8—432no—
1704C22⋊Q8—434no—
1705C22⋊Q8—434no—
1706C22⋊Q8—434no—
1707C22⋊Q8—434no—
1708C22⋊Q8—434no—
1709C22⋊Q8—434no—
1710C22⋊Q8—434no—
1711C22⋊Q8C22×D4312yes—
1712C22⋊Q8C22×D4312yes—
1713C22⋊Q8C22×D4312yes—
1714C22⋊Q8C22×D4312yes—
1715C22⋊Q8C22×D4312yes—
1716C22⋊Q8C22×D4314yes—
1717#121—432no—
1718#121—434no—
1719#121—432no—
1720#121—432no—
1721#121—432no—
1722#121—434no—
1723#121—434no—
1724#121—434no—
1725#121—434no—
1726#121—434no—
1727#121—432no—
1728#121—434no—
1729#121—434no—
1730#121—434no—
1731#121—434no—
1732#121—434no—
1733#121—434no—
1734#121—434no—
1735#121—434no—
1736#121—432no—
1737#121—432no—
1738#121—432no—
1739#121—432no—
1740#121—432no—
1741#121—432no—
1742#121—432no—
1743#121—432no—
1744#121—434no—
1745#121—434no—
1746#121—434no—
1747#121—432no—
1748#121—432no—
1749#121—434no—
1750#121—434no—
1751#121—434no—
1752#121—434no—
1753#121—434no—
1754#121—434no—
1755#121—434no—
1756#121—434no—
1757#121—432no—
1758#121—434no—
1759#121—434no—
1760#121—432no—
1761#121—434no—
1762#121—434no—
1763#121—434no—
1764#121—434no—
1765#121—434no—
1766#121—434no—
1767#121—434no—
1768#121—434no—
1769#121—434no—
1770#121—434no—
1771#121—434no—
1772#121—434no—
1773#121—434no—
1774#121C22×D4312yes—
1775#121C22×D4314yes—
1776#121C22×D4312yes—
1777#121C22×D4312yes—
1778#121C22×D4312yes—
1779#121C22×D4312yes—
1780#121C22×D4314yes—
1781#121C22×D4314yes—
1782#120—434no—
1783#120—434no—
1784#120—434no—
1785#120—434no—
1786#120—434no—
1787#120—434no—
1788#120—434no—
1789#120—434no—
1790#120—434no—
1791#120—434no—
1792#120—434no—
1793#120—434no—
1794#120—434no—
1795#120—434no—
1796#120—434no—
1797#120—434no—
1798#120—434no—
1799#120—434no—
1800#120C22×D4314yes—
1801#120C22×D4314yes—
1802C4×Q8—432no—
1803C4×Q8—432no—
1804C4×Q8—432no—
1805C4×Q8—432no—
1806C4×Q8—432no—
1807C4×Q8—432no—
1808C4×Q8—432no—
1809C4×Q8—432no—
1810C4×Q8—432no—
1811C4×Q8—434no—
1812C4×Q8C22×D4312yes—
1813C4×D4—432no—
1814C4×D4—432no—
1815C4×D4—432no—
1816C4×D4—432no—
1817C4×D4—434no—
1818C4×D4—434no—
1819C4×D4—432no—
1820C4×D4—434no—
1821C4×D4—432no—
1822C4×D4—432no—
1823C4×D4—432no—
1824C4×D4—432no—
1825C4×D4—432no—
1826C4×D4—432no—
1827C4×D4—432no—
1828C4×D4—432no—
1829C4×D4—434no—
1830C4×D4—434no—
1831C4×D4—434no—
1832C4×D4—434no—
1833C4×D4—432no—
1834C4×D4—432no—
1835C4×D4—432no—
1836C4×D4—432no—
1837C4×D4—432no—
1838C4×D4—432no—
1839C4×D4—432no—
1840C4×D4—432no—
1841C4×D4—434no—
1842C4×D4—432no—
1843C4×D4—432no—
1844C4×D4—434no—
1845C4×D4—434no—
1846C4×D4—434no—
1847C4×D4—434no—
1848C4×D4—434no—
1849C4×D4—434no—
1850C4×D4—434no—
1851C4×D4—434no—
1852C4×D4—434no—
1853C4×D4—434no—
1854C4×D4—434no—
1855C4×D4—434no—
1856C4×D4—434no—
1857C4×D4—434no—
1858C4×D4—434no—
1859C4×D4—434no—
1860C4×D4—434no—
1861C4×D4—434no—
1862C4×D4—434no—
1863C4×D4—432no—
1864C4×D4—434no—
1865C4×D4—434no—
1866C4×D4—432no—
1867C4×D4—434no—
1868C4×D4C22×D4312yes—
1869C4×D4C22×D4312yes—
1870C4×D4C22×D4312yes—
1871C4×D4C22×D4312yes—
1872C4×D4C22×D4314yes—
1873C4×D4C22×D4312yes—
1874C4×D4C22×D4314yes—
1875C4×D4C22×D4314yes—
1876C4×D4C22×D4314yes—
1877C4×D4C22×D4314yes—
1878#117—432no—
1879#117—432no—
1880#117—432no—
1881#117—432no—
1882#117—434no—
1883#117—434no—
1884#117—434no—
1885#117—434no—
1886#117—434no—
1887#117—432no—
1888#117—434no—
1889#117—434no—
1890#117—432no—
1891#117—432no—
1892#117—432no—
1893#117—432no—
1894#117—434no—
1895#117—434no—
1896#117C22×D4312yes—
1897#117C22×D4314yes—
1898#117C22×D4314yes—
1899C2×C4⋊C4—431no—
1900C2×C4⋊C4—431no—
1901C2×C4⋊C4—431no—
1902C2×C4⋊C4—431no—
1903C2×C4⋊C4—432no—
1904C2×C4⋊C4—432no—
1905C2×C4⋊C4—431no—
1906C2×C4⋊C4—431no—
1907C2×C4⋊C4—432no—
1908C2×C4⋊C4—431no—
1909C2×C4⋊C4—431no—
1910C2×C4⋊C4—431no—
1911C2×C4⋊C4—431no—
1912C2×C4⋊C4—432no—
1913C2×C4⋊C4—431no—
1914C2×C4⋊C4—432no—
1915C2×C4⋊C4—434no—
1916C2×C4⋊C4—434no—
1917C2×C4⋊C4—434no—
1918C2×C4⋊C4—432no—
1919C2×C4⋊C4—434no—
1920C2×C4⋊C4—434no—
1921C2×C4⋊C4C22×D4312yes—
1922C2×C4⋊C4C22×D4311yescharacteristic
1923C2×C4⋊C4C22×D4311yescharacteristic
1924C2×C4⋊C4C22×D4311yescharacteristic
1925C2×C22⋊C4—431no—
1926C2×C22⋊C4—431no—
1927C2×C22⋊C4—431no—
1928C2×C22⋊C4—432no—
1929C2×C22⋊C4—431no—
1930C2×C22⋊C4—432no—
1931C2×C22⋊C4—431no—
1932C2×C22⋊C4—432no—
1933C2×C22⋊C4—431no—
1934C2×C22⋊C4—432no—
1935C2×C22⋊C4—432no—
1936C2×C22⋊C4—431no—
1937C2×C22⋊C4—432no—
1938C2×C22⋊C4—432no—
1939C2×C22⋊C4—431no—
1940C2×C22⋊C4—434no—
1941C2×C22⋊C4—434no—
1942C2×C22⋊C4—434no—
1943C2×C22⋊C4—434no—
1944C2×C22⋊C4—434no—
1945C2×C22⋊C4—434no—
1946C2×C22⋊C4—434no—
1947C2×C22⋊C4—434no—
1948C2×C22⋊C4—434no—
1949C2×C22⋊C4C22×D4312yes—
1950C2×C22⋊C4C22×D4312yes—
1951C2×C22⋊C4C22×D4311yescharacteristic
1952C2×C22⋊C4C22×D4311yescharacteristic
1953C2×C22⋊C4C22×D4314yes—
1954C2×C42—431no—
1955C2×C42—431no—
1956C2×C42—432no—
1957C2×C42—431no—
1958C2×C42—431no—
1959C2×C42—431no—
1960C2×C42—431no—
1961C2×C42—431no—
1962C2×C42—431no—
1963C2×C42—431no—
1964C2×C42—431no—
1965C2×C42—431no—
1966C2×C42—431no—
1967C2×C42—431no—
1968C2×C42C22×D4311yescharacteristic
1969C24—432no—
1970C24—431no—
1971C24—432no—
1972C24—434no—
1973C24—434no—
1974C24C23×D4311yescharacteristic
1975C24C23×D4312yes—
1976C24C23×D4311yescharacteristic
1977#41—44no—
1978#41—1728no—
1979#41—1728no—
1980#41—1728no—
1981#41—1728no—
1982#41—1728no—
1983#41—1728no—
1984#41—1728no—
1985#41—1728no—
1986#41—1728no—
1987#41—1728no—
1988#41—1728no—
1989#41—1724no—
1990C2×Q8—42no—
1991C2×Q8—432no—
1992C2×Q8—432no—
1993C2×Q8—434no—
1994C2×Q8—434no—
1995C2×Q8—434no—
1996C2×Q8—434no—
1997C2×Q8—1724no—
1998C2×Q8—1722no—
1999C2×Q8C23×D4312yes—
2000C2×Q8C23×D4312yes—
2001C2×D4—28no—
2002C2×D4—24no—
2003C2×D4—42no—
2004C2×D4—432no—
2005C2×D4—434no—
2006C2×D4—432no—
2007C2×D4—434no—
2008C2×D4—434no—
2009C2×D4—434no—
2010C2×D4—432no—
2011C2×D4—434no—
2012C2×D4—434no—
2013C2×D4—432no—
2014C2×D4—434no—
2015C2×D4—434no—
2016C2×D4—434no—
2017C2×D4—434no—
2018C2×D4—434no—
2019C2×D4—434no—
2020C2×D4—434no—
2021C2×D4—434no—
2022C2×D4—432no—
2023C2×D4—432no—
2024C2×D4—434no—
2025C2×D4—434no—
2026C2×D4—432no—
2027C2×D4—434no—
2028C2×D4—434no—
2029C2×D4—432no—
2030C2×D4—434no—
2031C2×D4—434no—
2032C2×D4—868no—
2033C2×D4—864no—
2034C2×D4—868no—
2035C2×D4—1722no—
2036C2×D4—1722no—
2037C2×D4—1724no—
2038C2×D4—1724no—
2039C2×D4—1728no—
2040C2×D4—1724no—
2041C2×D4—1722no—
2042C2×D4—1724no—
2043C2×D4—1728no—
2044C2×D4—1728no—
2045C2×D4—1728no—
2046C2×D4—1728no—
2047C2×D4—1728no—
2048C2×D4—1728no—
2049C2×D4C23×D4312yes—
2050C2×D4C23×D4314yes—
2051C2×D4C23×D4312yes—
2052C2×D4C23×D4314yes—
2053C2×D4C23×D4312yes—
2054C2×D4C23×D4314yes—
2055C2×D4C23×D4312yes—
2056C2×D4C23×D4314yes—
2057C22×C4—42no—
2058C22×C4—42no—
2059C22×C4—431no—
2060C22×C4—431no—
2061C22×C4—431no—
2062C22×C4—431no—
2063C22×C4—431no—
2064C22×C4—431no—
2065C22×C4—431no—
2066C22×C4—431no—
2067C22×C4—431no—
2068C22×C4—432no—
2069C22×C4—431no—
2070C22×C4—432no—
2071C22×C4—431no—
2072C22×C4—431no—
2073C22×C4—431no—
2074C22×C4—431no—
2075C22×C4—431no—
2076C22×C4—434no—
2077C22×C4—434no—
2078C22×C4—434no—
2079C22×C4—434no—
2080C22×C4—434no—
2081C22×C4—432no—
2082C22×C4—434no—
2083C22×C4—434no—
2084C22×C4—434no—
2085C22×C4—432no—
2086C22×C4—434no—
2087C22×C4—434no—
2088C22×C4—434no—
2089C22×C4—434no—
2090C22×C4—434no—
2091C22×C4—434no—
2092C22×C4—864no—
2093C22×C4—1722no—
2094C22×C4—1724no—
2095C22×C4—1724no—
2096C22×C4—1722no—
2097C22×C4—1724no—
2098C22×C4C23×D4311yescharacteristic
2099C22×C4C23×D4311yescharacteristic
2100C22×C4C23×D4311yescharacteristic
2101C22×C4C23×D4311yescharacteristic
2102C22×C4C23×D4312yes—
2103C22×C4C23×D4312yes—
2104C22×C4C23×D4311yescharacteristic
2105C22×C4C23×D4311yescharacteristic
2106C22×C4C23×D4311yescharacteristic
2107C22×C4C23×D4312yes—
2108C22×C4C23×D4311yescharacteristic
2109C22×C4C23×D4312yes—
2110C22×C4C23×D4311yescharacteristic
2111C22×C4C23×D4312yes—
2112C22×C4C23×D4314yes—
2113C22×C4C23×D4314yes—
2114C4⋊C4—432no—
2115C4⋊C4—434no—
2116C4⋊C4—432no—
2117C4⋊C4—432no—
2118C4⋊C4—432no—
2119C4⋊C4—432no—
2120C4⋊C4—434no—
2121C4⋊C4—432no—
2122C4⋊C4—434no—
2123C4⋊C4—432no—
2124C4⋊C4—434no—
2125C4⋊C4—434no—
2126C4⋊C4—434no—
2127C4⋊C4—432no—
2128C4⋊C4—432no—
2129C4⋊C4—432no—
2130C4⋊C4—432no—
2131C4⋊C4—434no—
2132C4⋊C4—432no—
2133C4⋊C4—432no—
2134C4⋊C4—432no—
2135C4⋊C4—434no—
2136C4⋊C4—432no—
2137C4⋊C4—434no—
2138C4⋊C4—432no—
2139C4⋊C4—434no—
2140C4⋊C4—432no—
2141C4⋊C4—432no—
2142C4⋊C4—434no—
2143C4⋊C4—434no—
2144C4⋊C4—434no—
2145C4⋊C4—432no—
2146C4⋊C4—432no—
2147C4⋊C4—432no—
2148C4⋊C4—434no—
2149C4⋊C4—432no—
2150C4⋊C4—434no—
2151C4⋊C4—434no—
2152C4⋊C4C23×D4314yes—
2153C4⋊C4C23×D4312yes—
2154C4⋊C4C23×D4314yes—
2155C4⋊C4C23×D4314yes—
2156C4⋊C4C23×D4314yes—
2157C4⋊C4C23×D4312yes—
2158C4⋊C4C23×D4312yes—
2159C4⋊C4C23×D4312yes—
2160C4⋊C4C23×D4312yes—
2161C4⋊C4C23×D4312yes—
2162C4⋊C4C23×D4314yes—
2163C4⋊C4C23×D4314yes—
2164C22⋊C4—432no—
2165C22⋊C4—432no—
2166C22⋊C4—432no—
2167C22⋊C4—432no—
2168C22⋊C4—434no—
2169C22⋊C4—432no—
2170C22⋊C4—432no—
2171C22⋊C4—432no—
2172C22⋊C4—432no—
2173C22⋊C4—434no—
2174C22⋊C4—434no—
2175C22⋊C4—434no—
2176C22⋊C4—432no—
2177C22⋊C4—434no—
2178C22⋊C4—434no—
2179C22⋊C4—432no—
2180C22⋊C4—434no—
2181C22⋊C4—432no—
2182C22⋊C4—434no—
2183C22⋊C4—434no—
2184C22⋊C4—434no—
2185C22⋊C4—434no—
2186C22⋊C4—434no—
2187C22⋊C4—432no—
2188C22⋊C4—434no—
2189C22⋊C4—434no—
2190C22⋊C4—432no—
2191C22⋊C4—434no—
2192C22⋊C4—432no—
2193C22⋊C4—432no—
2194C22⋊C4—434no—
2195C22⋊C4—434no—
2196C22⋊C4—434no—
2197C22⋊C4—434no—
2198C22⋊C4—432no—
2199C22⋊C4—434no—
2200C22⋊C4—434no—
2201C22⋊C4—434no—
2202C22⋊C4—434no—
2203C22⋊C4—434no—
2204C22⋊C4—434no—
2205C22⋊C4—434no—
2206C22⋊C4—434no—
2207C22⋊C4—434no—
2208C22⋊C4C23×D4314yes—
2209C22⋊C4C23×D4314yes—
2210C22⋊C4C23×D4314yes—
2211C22⋊C4C23×D4314yes—
2212C22⋊C4C23×D4314yes—
2213C22⋊C4C23×D4312yes—
2214C22⋊C4C23×D4314yes—
2215C22⋊C4C23×D4314yes—
2216C22⋊C4C23×D4312yes—
2217C22⋊C4C23×D4312yes—
2218C22⋊C4C23×D4312yes—
2219C22⋊C4C23×D4314yes—
2220C22⋊C4C23×D4314yes—
2221C22⋊C4C23×D4314yes—
2222C42—431no—
2223C42—431no—
2224C42—431no—
2225C42—431no—
2226C42—431no—
2227C42—431no—
2228C42—431no—
2229C42—431no—
2230C42—431no—
2231C42—431no—
2232C42—431no—
2233C42—431no—
2234C42—431no—
2235C42—431no—
2236C42—431no—
2237C42—431no—
2238C42—434no—
2239C42—432no—
2240C42—434no—
2241C42—432no—
2242C42—434no—
2243C42—434no—
2244C42C23×D4312yes—
2245C42C23×D4312yes—
2246C42C23×D4314yes—
2247C42C23×D4314yes—
2248C23—24no—
2249C23—22no—
2250C23—41no—
2251C23—41no—
2252C23—41no—
2253C23—42no—
2254C23—41no—
2255C23—42no—
2256C23—434no—
2257C23—432no—
2258C23—434no—
2259C23—864no—
2260C23—862no—
2261C23—864no—
2262C23—1722no—
2263C23—1721no—
2264C23—1721no—
2265C23—1722no—
2266C23—1722no—
2267C23—1722no—
2268C23—1724no—
2269C23—1724no—
2270C23—1724no—
2271C23—1724no—
2272C23—1724no—
2273C23—1724no—
2274C23#1306337114yes—
2275C23C24×D4312yes—
2276C23C24×D4314yes—
2277C23C24×D4311yescharacteristic
2278C23C24×D4311yescharacteristic
2279C23C24×D4311yescharacteristic
2280Q8—24no—
2281Q8—42no—
2282Q8—864no—
2283Q8—1724no—
2284Q8—1724no—
2285Q8—1722no—
2286Q8—1724no—
2287Q8—1724no—
2288D4—24no—
2289D4—24no—
2290D4—28no—
2291D4—28no—
2292D4—24no—
2293D4—42no—
2294D4—44no—
2295D4—44no—
2296D4—864no—
2297D4—868no—
2298D4—868no—
2299D4—864no—
2300D4—868no—
2301D4—864no—
2302D4—868no—
2303D4—868no—
2304D4—864no—
2305D4—864no—
2306D4—1724no—
2307D4—1724no—
2308D4—1724no—
2309D4—1724no—
2310D4—1722no—
2311D4—1722no—
2312D4—1724no—
2313D4—1724no—
2314D4—1724no—
2315D4—1724no—
2316D4—1724no—
2317D4—1724no—
2318D4—1724no—
2319D4—1724no—
2320D4—1724no—
2321D4—1722no—
2322D4—1724no—
2323D4—1724no—
2324C2×C4—24no—
2325C2×C4—22no—
2326C2×C4—22no—
2327C2×C4—22no—
2328C2×C4—22no—
2329C2×C4—24no—
2330C2×C4—42no—
2331C2×C4—41no—
2332C2×C4—41no—
2333C2×C4—41no—
2334C2×C4—41no—
2335C2×C4—42no—
2336C2×C4—42no—
2337C2×C4—41no—
2338C2×C4—44no—
2339C2×C4—44no—
2340C2×C4—431no—
2341C2×C4—431no—
2342C2×C4—431no—
2343C2×C4—432no—
2344C2×C4—431no—
2345C2×C4—431no—
2346C2×C4—431no—
2347C2×C4—431no—
2348C2×C4—431no—
2349C2×C4—432no—
2350C2×C4—434no—
2351C2×C4—432no—
2352C2×C4—434no—
2353C2×C4—868no—
2354C2×C4—862no—
2355C2×C4—862no—
2356C2×C4—862no—
2357C2×C4—862no—
2358C2×C4—862no—
2359C2×C4—862no—
2360C2×C4—862no—
2361C2×C4—862no—
2362C2×C4—862no—
2363C2×C4—864no—
2364C2×C4—862no—
2365C2×C4—864no—
2366C2×C4—864no—
2367C2×C4—1724no—
2368C2×C4—1724no—
2369C2×C4—1724no—
2370C2×C4—1722no—
2371C2×C4—1724no—
2372C2×C4—1724no—
2373C2×C4—1724no—
2374C2×C4—1724no—
2375C2×C4—1724no—
2376C2×C4—1724no—
2377C2×C4—1724no—
2378C2×C4—1724no—
2379C2×C4—1721no—
2380C2×C4—1721no—
2381C2×C4—1721no—
2382C2×C4—1721no—
2383C2×C4—1724no—
2384C2×C4—1724no—
2385C2×C4—1721no—
2386C2×C4C24×D4311yescharacteristic
2387C2×C4C24×D4311yescharacteristic
2388C2×C4C24×D4311yescharacteristic
2389C2×C4C24×D4314yes—
2390C2×C4C24×D4314yes—
2391C2×C4C24×D4312yes—
2392C2×C4C24×D4312yes—
2393C2×C4C24×D4314yes—
2394C2×C4C24×D4312yes—
2395C2×C4C24×D4311yescharacteristic
2396C22—21no—
2397C22—21no—
2398C22—21no—
2399C22—21no—
2400C22—21no—
2401C22—21no—
2402C22—24no—
2403C22—22no—
2404C22—24no—
2405C22—22no—
2406C22—22no—
2407C22—24no—
2408C22—44no—
2409C22—84no—
2410C22—82no—
2411C22—864no—
2412C22—864no—
2413C22—862no—
2414C22—864no—
2415C22—864no—
2416C22—862no—
2417C22—862no—
2418C22—864no—
2419C22—864no—
2420C22—3444no—
2421C22—3442no—
2422C22—3444no—
2423C22—6884no—
2424C22—6884no—
2425C22C2×#1306337112yes—
2426C22C2×#1306337112yes—
2427C22C2×#1306337112yes—
2428C22C25×D4311yescharacteristic
2429C4—22no—
2430C4—24no—
2431C4—22no—
2432C4—24no—
2433C4—21no—
2434C4—22no—
2435C4—21no—
2436C4—21no—
2437C4—24no—
2438C4—432no—
2439C4—861no—
2440C4—861no—
2441C4—861no—
2442C4—861no—
2443C4—862no—
2444C4—864no—
2445C4—864no—
2446C4—861no—
2447C4—861no—
2448C4—861no—
2449C4—862no—
2450C4—862no—
2451C4#1458373412yes—
2452C2—22no—
2453C2—22no—
2454C2—22no—
2455C2—42no—
2456C2—44no—
2457C2—1724no—
2458C2—1722no—
2459C2—1724no—
2460C2C22×#1306337111yescharacteristic
2461C2#585×D4311yescharacteristic
2462C2C2×#1458373411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3505C2
hypercenter#3505D43
hypocenterC43#62822
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #19149152C2semidirect
2. #19149149C2semidirect
3. #19149146C2semidirect
4. #19149131C2semidirect
5. #19149127C2semidirect
6. #19149116C2semidirect
7. #19149112C2semidirect
8. #19148951C2semidirect
9. #19148937C2semidirect
10. #19148927C2semidirect
11. #19148678C2semidirect
12. #19148671C2semidirect
13. #19148623C2semidirect
14. #19148615C2semidirect
15. #19148540C2semidirect
16. #19148536C2semidirect
17. #19148522C2semidirect
18. #19148436C2semidirect
19. #19148425C2semidirect
20. #19148359C2semidirect
21. #19148356C2semidirect
22. #19148352C2semidirect
23. #19148332C2semidirect
24. #19148326C2semidirect
25. #19148318C2semidirect
26. #19148240C2semidirect
27. #19148236C2semidirect
28. C2×#14583444C2semidirect
29. C2×#14583435C2semidirect
30. C2×#14583429C2semidirect
31. C43×#3505C2semidirect
32. C2×#13063370C22semidirect
33. C2×#13063370C22semidirect
34. C22×#10621900C22semidirect
35. #14583653C22semidirect
36. #14583651C22semidirect
37. #14583651C22semidirect
38. #14583646C22semidirect
39. #14583645C22semidirect
40. #14583641C22semidirect
41. #14583639C22semidirect
42. #14583637C22semidirect
43. #14583634C22semidirect
44. #14583631C22semidirect
45. #14583631C22semidirect
46. #14583631C22semidirect
47. Q8×Dic86C22semidirect
48. #14583614C22semidirect
49. #14583612C22semidirect
50. #14583612C22semidirect
51. #14583607C22semidirect
52. #14583607C22semidirect
53. #14583606C22semidirect
54. #14583605C22semidirect
55. #14583605C22semidirect
56. #14583602C22semidirect
57. #14583601C22semidirect
58. #14583601C22semidirect
59. #14583600C22semidirect
60. #14583600C22semidirect
61. #14583598C22semidirect
62. #14583598C22semidirect
63. #14583597C22semidirect
64. #14583597C22semidirect
65. #14583595C22semidirect
66. #14583595C22semidirect
67. #14583593C22semidirect
68. #14583591C22semidirect
69. #14583582C22semidirect
70. #14583576C22semidirect
71. #14583575C22semidirect
72. #14583574C22semidirect
73. #14583574C22semidirect
74. #14583573C22semidirect
75. #14583573C22semidirect
76. #14583572C22semidirect
77. #14583572C22semidirect
78. #14583572C22semidirect
79. #14583570C22semidirect
80. #14583568C22semidirect
81. #14583560C22semidirect
82. #14583558C22semidirect
83. #14583553C22semidirect
84. #14583553C22semidirect
85. #14583553C22semidirect
86. #14583553C22semidirect
87. #14583553C22semidirect
88. #14583553C22semidirect
89. #14583550C22semidirect
90. #14583549C22semidirect
91. #14583549C22semidirect
92. #14583549C22semidirect
93. #14583547C22semidirect
94. #14583547C22semidirect
95. #14583547C22semidirect
96. #14583547C22semidirect
97. #14583544C22semidirect
98. #14583544C22semidirect
99. #14583544C22semidirect
100. #14583544C22semidirect
101. #14583544C22semidirect
102. #14583544C22semidirect
103. #14583541C22semidirect
104. #14583541C22semidirect
105. #14583541C22semidirect
106. #14583540C22semidirect
107. #14583540C22semidirect
108. #14583539C22semidirect
109. #14583539C22semidirect
110. #14583538C22semidirect
111. #14583538C22semidirect
112. #14583538C22semidirect
113. #14583537C22semidirect
114. #14583536C22semidirect
115. #14583536C22semidirect
116. #14583536C22semidirect
117. #14583536C22semidirect
118. D4×D172C22semidirect
119. D4×D172C22semidirect
120. #14583533C22semidirect
121. #14583533C22semidirect
122. D4×C22⋊D43C22semidirect
123. #14583531C22semidirect
124. #14583531C22semidirect
125. #14583529C22semidirect
126. #14583529C22semidirect
127. #14583527C22semidirect
128. #14583522C22semidirect
129. #14583522C22semidirect
130. #14583522C22semidirect
131. #14583521C22semidirect
132. #14583520C22semidirect
133. #14583518C22semidirect
134. #14583518C22semidirect
135. #14583515C22semidirect
136. #14583515C22semidirect
137. #14583515C22semidirect
138. #14583505C22semidirect
139. #14583502C22semidirect
140. #14583502C22semidirect
141. #14583501C22semidirect
142. #14583501C22semidirect
143. #14583500C22semidirect
144. #14583498C22semidirect
145. #14583497C22semidirect
146. #14583493C22semidirect
147. #14583493C22semidirect
148. #14583491C22semidirect
149. #14583490C22semidirect
150. #14583489C22semidirect
151. #14583489C22semidirect
152. #14583488C22semidirect
153. #14583488C22semidirect
154. #14583486C22semidirect
155. #14583485C22semidirect
156. #14583485C22semidirect
157. #14583483C22semidirect
158. #14583482C22semidirect
159. #14583482C22semidirect
160. #14583480C22semidirect
161. #14583476C22semidirect
162. #14583476C22semidirect
163. #14583475C22semidirect
164. #14583471C22semidirect
165. #14583467C22semidirect
166. #14583465C22semidirect
167. #14583463C22semidirect
168. #14583461C22semidirect
169. #14583461C22semidirect
170. #14583461C22semidirect
171. #14583461C22semidirect
172. #14583459C22semidirect
173. #14583458C22semidirect
174. #14583457C22semidirect
175. #14583457C22semidirect
176. #14583449C22semidirect
177. #14583444C22semidirect
178. #14583444C22semidirect
179. #14583444C22semidirect
180. #14583444C22semidirect
181. #14583444C22semidirect
182. #14583444C22semidirect
183. #14583444C22semidirect
184. #14583444C22semidirect
185. #14583444C22semidirect
186. #14583444C22semidirect
187. C2×#13063324C22semidirect
188. C2×#13063321C22semidirect
189. #14583435C22semidirect
190. #14583435C22semidirect
191. #14583435C22semidirect
192. #14583435C22semidirect
193. #14583435C22semidirect
194. #14583435C22semidirect
195. #14583435C22semidirect
196. #14583435C22semidirect
197. #14583435C22semidirect
198. #14583429C22semidirect
199. #14583429C22semidirect
200. #14583429C22semidirect
201. #14583429C22semidirect
202. #14583429C22semidirect
203. #14583429C22semidirect
204. #14583429C22semidirect
205. #14583429C22semidirect
206. #14583429C22semidirect
207. C2×#13063320C22semidirect
208. C2×#13063320C22semidirect
209. C2×#13063318C22semidirect
210. C2×#13063316C22semidirect
211. C2×#13063315C22semidirect
212. C2×#13063314C22semidirect
213. C2×#13063311C22semidirect
214. C2×#13063311C22semidirect
215. #14583412C22semidirect
216. #14583411C22semidirect
217. #14583408C22semidirect
218. #14583405C22semidirect
219. C2×#13063309C22semidirect
220. C2×#13063309C22semidirect
221. C2×#13063309C22semidirect
222. C2×#13063306C22semidirect
223. #123×D43C22semidirect
224. C2×#13063302C22semidirect
226. C2×#13063299C22semidirect
227. C2×#13063299C22semidirect
229. C2×#13063297C22semidirect
230. #121×D43C22semidirect
231. #121×D43C22semidirect
232. #14583382C22semidirect
233. #14583381C22semidirect
234. #14583379C22semidirect
235. #14583373C22semidirect
236. #14583372C22semidirect
237. #14583371C22semidirect
238. #14583371C22semidirect
239. C2×Q8×Dic43C22semidirect
240. C2×C4×Dic86C22semidirect
241. C2×D4×Dic43C22semidirect
242. C2×#13063287C22semidirect
243. C2×#13063287C22semidirect
244. C2×C4×C22⋊D43C22semidirect
245. C2×C4×C22⋊D43C22semidirect
246. C2×(C22⋊D43)⋊C4C22semidirect
247. C2×(C22⋊D43)⋊C4C22semidirect
248. C2×#13063284C22semidirect
249. C2×#13063283C22semidirect
250. C2×#13063282C22semidirect
251. C22×C4×Dic43C22semidirect
252. C43×#553C22semidirect
253. C43×#553C22semidirect
254. C43×#552C22semidirect
255. C43×#551C22semidirect
256. C43×#548C22semidirect
257. C43×#546C22semidirect
258. C43×#539C22semidirect
259. C43×#538C22semidirect
260. C43×#534C22semidirect
261. C43×#529C22semidirect
262. C43×#525C22semidirect
263. C2×C22⋊Q8×C43C22semidirect
264. C2×#121×C43C22semidirect
265. C43×#518C22semidirect
266. C2×C4×D4×C43C22semidirect
1240. #3505D43semidirect
1299. #553C2×D43semidirect
1300. #553C2×D43semidirect
1303. #552C2×D43semidirect
1313. #551C2×D43semidirect
1318. #548C2×D43semidirect
1354. #546C2×D43semidirect
1387. #539C2×D43semidirect
1398. #538C2×D43semidirect
1415. #534C2×D43semidirect
1447. #529C2×D43semidirect
1460. #525C2×D43semidirect
1467. C2×C22⋊Q8C2×D43semidirect
1475. C2×#121C2×D43semidirect
1483. #518C2×D43semidirect
1493. C2×C4×D4C2×D43semidirect
1498. C43#62822semidirect

Maximal subgroups

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

subgroupindex
#191491522
#191491492
#191491462
#191491312
#191491272
#191491162
#191491122
#191489512
#191489372
#191489272
#191486782
#191486712
#191486232
#191486152
#191485402
#191485362
#191485222
#191484362
#191484252
#191483592
#191483562
#191483522
#191483322
#191483262
#191483182
#191482402
#191482362
C2×#145834442
C2×#145834352
C2×#145834292
C43×#35052
#6282243