Finite Group Databasebeta

← #26005400

Subgroups — #26005400

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#19149292C212yesmaximal, complemented
2#19149282C212yesmaximal, complemented
3#19149254C214yesmaximal, complemented
4#19149236C212yesmaximal, complemented
5#19149201C211yesmaximal, characteristic, complemented
6#19149185C212yesmaximal, complemented
7#19149165C211yesmaximal, characteristic, complemented
8#19149118C211yesmaximal, characteristic, complemented
9#19149046C212yesmaximal, complemented
10#19148945C212yesmaximal, complemented
11#19148801C212yesmaximal, complemented
12#19148774C212yesmaximal, complemented
13#19148703C212yesmaximal, complemented
14#19148666C212yesmaximal, complemented
15#19148664C214yesmaximal, complemented
16#19148653C214yesmaximal, complemented
17#19148635C212yesmaximal, complemented
18#19148620C212yesmaximal, complemented
19#19148579C212yesmaximal, complemented
20#19148530C214yesmaximal, complemented
21#19148530C212yesmaximal, complemented
22#19148458C212yesmaximal, complemented
23#19148424C212yesmaximal, complemented
24#19148350C212yesmaximal, complemented
25#19148322C212yesmaximal, complemented
26#19148314C212yesmaximal, complemented
27#19148289C212yesmaximal, complemented
28#19147890C211yesmaximal, characteristic, complemented
29C2×#14583434C211yesmaximal, characteristic, complemented
30#529×D43C211yesmaximal, characteristic, complemented
31C43×#3559C211yesmaximal, characteristic, complemented
32C43⋊#564C2212yescomplemented
33#14583653C2214yescomplemented
34#14583653C2212yescomplemented
35#14583653C2212yescomplemented
36#14583646C2214yescomplemented
37#14583645C2214yescomplemented
38#14583643C2212yescomplemented
39#14583643C2212yescomplemented
40#14583641C2212yescomplemented
41#14583637C2214yescomplemented
42#14583632C2212yescomplemented
43#14583632C2212yescomplemented
44#14583632C2214yescomplemented
45#14583626C2212yescomplemented
46#14583626C2212yescomplemented
47#14583623C2214yescomplemented
48#14583623C2212yescomplemented
49#14583622C2212yescomplemented
50#14583620C2214yescomplemented
51#14583620C2214yescomplemented
52#14583620C2214yescomplemented
53#14583619C2212yescomplemented
54#14583616C2214yescomplemented
55#14583613C2214yescomplemented
56#14583613C2214yescomplemented
57#14583612C2212yescomplemented
58#14583610C2214yescomplemented
59#14583610C2212yescomplemented
60#14583608C2214yescomplemented
61#14583607C2214yescomplemented
62#14583604C2212yescomplemented
63#14583602C2212yescomplemented
64#14583601C2214yescomplemented
65#14583601C2214yescomplemented
66#14583600C2214yescomplemented
67#14583597C2214yescomplemented
68#14583597C2212yescomplemented
69#14583595C2214yescomplemented
70#14583594C2214yescomplemented
71#14583594C2214yescomplemented
72#14583594C2214yescomplemented
73#14583592C2214yescomplemented
74#14583592C2214yescomplemented
75#14583591C2214yescomplemented
76#14583591C2214yescomplemented
77#14583591C2214yescomplemented
78#14583588C2212yescomplemented
79#14583587C2214yescomplemented
80#14583587C2214yescomplemented
81#14583587C2212yescomplemented
82#14583586C2214yescomplemented
83#14583585C2214yescomplemented
84#14583584C2212yescomplemented
85#14583584C2212yescomplemented
86#14583584C2214yescomplemented
87#14583584C2214yescomplemented
88#14583583C2214yescomplemented
89#14583581C2214yescomplemented
90#14583577C2214yescomplemented
91#14583576C2214yescomplemented
92#14583576C2214yescomplemented
93#14583576C2214yescomplemented
94#14583576C2214yescomplemented
95#14583576C2214yescomplemented
96#14583574C2214yescomplemented
97#14583572C2214yescomplemented
98#14583572C2214yescomplemented
99#14583572C2214yescomplemented
100#14583572C2214yescomplemented
101#14583572C2214yescomplemented
102#14583572C2214yescomplemented
103#14583572C2214yescomplemented
104#14583567C2212yescomplemented
105D4×Dic86C2212yescomplemented
106#14583558C2212yescomplemented
107#14583555C2212yescomplemented
108#14583555C2212yescomplemented
109#14583555C2212yescomplemented
110#14583553C2212yescomplemented
111#14583547C2214yescomplemented
112#14583546C2214yescomplemented
113#14583546C2212yescomplemented
114#14583545C2214yescomplemented
115#14583545C2212yescomplemented
116#14583544C2212yescomplemented
117#14583544C2212yescomplemented
118#14583541C2214yescomplemented
119#14583538C2214yescomplemented
120#14583537C2214yescomplemented
121#14583537C2214yescomplemented
122#14583537C2214yescomplemented
123#14583533C2212yescomplemented
124#14583533C2214yescomplemented
125#14583530C2212yescomplemented
126#14583529C2212yescomplemented
127#14583524C2212yescomplemented
128#14583523C2212yescomplemented
129#14583523C2212yescomplemented
130#14583523C2214yescomplemented
131#14583522C2214yescomplemented
132#14583522C2214yescomplemented
133#14583520C2212yescomplemented
134#14583517C2214yescomplemented
135#14583516C2212yescomplemented
136#14583515C2214yescomplemented
137#14583515C2214yescomplemented
138#14583512C2212yescomplemented
139#14583512C2212yescomplemented
140#14583510C2214yescomplemented
141#14583508C2214yescomplemented
142#14583506C2214yescomplemented
143#14583502C2212yescomplemented
144#14583502C2214yescomplemented
145#14583501C2214yescomplemented
146#14583499C2214yescomplemented
147#14583498C2214yescomplemented
148#14583496C2212yes—
149#14583495C2214yescomplemented
150#14583495C2214yescomplemented
151#14583495C2214yescomplemented
152#14583495C2214yescomplemented
153#14583493C2214yescomplemented
154#14583493C2214yescomplemented
155#14583493C2214yescomplemented
156#14583490C2214yescomplemented
157#14583489C2214yescomplemented
158#14583488C2214yescomplemented
159#14583486C2212yescomplemented
160#14583486C2214yescomplemented
161#14583486C2212yescomplemented
162#14583486C2214yescomplemented
163#14583485C2214yescomplemented
164#14583485C2214yescomplemented
165#14583485C2214yescomplemented
166#14583482C2214yescomplemented
167#14583475C2212yescomplemented
168#14583472C2214yescomplemented
169#14583462C2212yescomplemented
170#14583457C2212yes—
171#14583457C2214yescomplemented
172#14583456C2211yescharacteristic, complemented
173#14583454C2211yescharacteristic, complemented
174#14583454C2212yescomplemented
175#14583454C2211yescharacteristic, complemented
176#14583447C2211yescharacteristic, complemented
177#14583447C2211yescharacteristic, complemented
178#14583446C2212yes—
179#14583436C2211yescharacteristic, complemented
180#14583435C2211yescharacteristic
181#14583435C2214yescomplemented
182#14583434C2212yescomplemented
183#14583434C2212yescomplemented
184#14583434C2211yescharacteristic, complemented
185#14583434C2212yescomplemented
186#14583434C2212yescomplemented
187#14583434C2212yescomplemented
188#14583434C2212yescomplemented
189#14583434C2212yescomplemented
190#14583434C2212yescomplemented
191#14583434C2212yescomplemented
192#14583433C2211yescharacteristic
193#14583432C2212yescomplemented
194#14583431C2212yescomplemented
195#14583431C2211yescharacteristic, complemented
196#14583431C2212yescomplemented
197#14583431C2212yescomplemented
198#14583430C2212yescomplemented
199#14583430C2211yescharacteristic, complemented
200#14583430C2214yescomplemented
201#14583430C2212yescomplemented
202#14583429C2214yescomplemented
203#14583429C2212yescomplemented
204#14583429C2214yescomplemented
205#14583428C2211yescharacteristic, complemented
206#14583428C2212yescomplemented
207#14583428C2212yescomplemented
208#14583427C2212yescomplemented
209#14583426C2212yescomplemented
210#14583426C2214yescomplemented
211C2×#13063320C2212yescomplemented
212C2×#13063320C2214yescomplemented
213#126×D43C2212yescomplemented
214#125×D43C2211yescharacteristic, complemented
215C2×#13063313C2211yescharacteristic, complemented
216#124×D43C2211yescharacteristic, complemented
217#14583411C2212yes—
218#14583409C2212yescomplemented
219#14583409C2212yescomplemented
220#14583409C2212yescomplemented
221#14583406C2214yescomplemented
222#14583406C2212yescomplemented
223C2×#13063310C2212yescomplemented
224#123×D43C2214yescomplemented
225#123×D43C2212yescomplemented
226C2×#13063305C2212yescomplemented
227C2×#13063305C2211yescharacteristic, complemented
228C22⋊Q8×D43C2211yescharacteristic, complemented
229C2×#13063300C2211yescharacteristic
230#121×D43C2211yescharacteristic
231#121×D43C2212yescomplemented
232#14583382C2214yescomplemented
233#14583380C2212yescomplemented
234#14583380C2214yescomplemented
235#14583378C2212yescomplemented
236#14583376C2212yescomplemented
237#14583371C2214yescomplemented
238#14583371C2212yescomplemented
239#14583371C2214yescomplemented
240#41×Dic43C2212yescomplemented
241C4×#10621900C2212yescomplemented
242C4×#10621900C2212yescomplemented
243C2×#13063290C2211yescharacteristic, complemented
244C4×Q8×D43C2211yescharacteristic, complemented
245C2×#13063287C2211yescharacteristic, complemented
246C2×#13063287C2212yescomplemented
247C4×D4×D43C2212yescomplemented
248C4×D4×D43C2211yescharacteristic, complemented
249C2×#13063283C2212yescomplemented
250#117×D43C2212yescomplemented
251C2×C42×D43C2211yescharacteristic, complemented
252C43×#563C2212yescomplemented
253C43×#562C2212yescomplemented
254C43×#554C2212yescomplemented
255C43×#553C2212yescomplemented
256C43×#553C2212yescomplemented
257C43×#547C2212yescomplemented
258C43×#547C2214yescomplemented
259C43×#544C2212yescomplemented
260C43×#540C2212yescomplemented
261C43×#539C2212yescomplemented
262C43×#539C2214yescomplemented
263C43×#537C2212yescomplemented
264C43×#532C2211yescharacteristic, complemented
265C43×#529C2211yescharacteristic, complemented
266C2×#125×C43C2211yescharacteristic, complemented
267C2×#10621898C2312yes—
268C2×#10621898C2314yes—
269C2×#10621900C2312yes—
270C2×#10621900C2312yes—
271C2×#10621900C2312yes—
272C22×Dic86C2312yes—
273C22×Dic86C2311yescharacteristic
274C2×Q8×D43C2311yescharacteristic
275C22×D172C2312yes—
276C22×D172C2311yescharacteristic
277C2×D4×D43C2312yes—
278C2×D4×D43C2311yescharacteristic
279C2×D4×D43C2314yes—
280C2×D4×D43C2312yes—
281C2×D4×D43C2314yes—
282C22×C4×D43C2311yescharacteristic
283C22×C4×D43C2311yescharacteristic
284C22×C4×D43C2311yescharacteristic
285C22×C4×D43C2312yes—
286C22×C4×D43C2312yes—
287#13063325C2312yes—
288#13063325C2311yescharacteristic
289#13063325C2311yescharacteristic
290#13063324C2314yes—
291#13063324C2312yes—
292#13063324C2314yes—
293#13063324C2314yes—
294#13063324C2314yes—
295#13063321C2312yes—
296#13063321C2314yes—
297#13063320C2312yes—
298#13063320C2314yes—
299#13063320C2314yes—
300#13063320C2314yes—
301#13063320C2314yes—
302#13063320C2314yes—
303#13063320C2314yes—
304#13063320C2314yes—
305#13063320C2314yes—
306#13063320C2314yes—
307#13063320C2314yes—
308#13063320C2314yes—
309#13063320C2314yes—
310#13063320C2312yes—
311#13063320C2314yes—
312#13063320C2314yes—
313#13063320C2314yes—
314#13063320C2314yes—
315#13063320C2314yes—
316#13063320C2314yes—
317#13063320C2314yes—
318#13063320C2312yes—
319#13063320C2314yes—
320#13063320C2314yes—
321#13063319C2312yes—
322#13063318C2314yes—
323#13063318C2314yes—
324#13063318C2314yes—
325#13063318C2312yes—
326#13063318C2314yes—
327#13063318C2314yes—
328#13063318C2312yes—
329#13063318C2314yes—
330#13063318C2312yes—
331#13063318C2314yes—
332#13063317C2314yes—
333#13063317C2311yescharacteristic
334#13063317C2312yes—
335#13063316C2314yes—
336#13063316C2312yes—
337#13063316C2314yes—
338#13063316C2311yescharacteristic
339#13063316C2314yes—
340#13063316C2312yes—
341#13063316C2314yes—
342#13063316C2314yes—
343#13063316C2312yes—
344#13063316C2311yescharacteristic
345#13063316C2314yes—
346#13063315C2314yes—
347#13063315C2314yes—
348#13063315C2314yes—
349#13063315C2314yes—
350#13063315C2314yes—
351#13063315C2314yes—
352#13063315C2314yes—
353#13063315C2314yes—
354#13063315C2312yes—
355#13063315C2312yes—
356#13063314C2311yescharacteristic
357#13063314C2314yes—
358#13063314C2314yes—
359#13063314C2314yes—
360#13063313C2312yes—
361#13063313C2314yes—
362#13063313C2312yes—
363#13063313C2311yescharacteristic
364#13063313C2312yes—
365#13063313C2312yes—
366#13063313C2312yes—
367#13063312C2312yes—
368#13063312C2312yes—
369#13063312C2312yes—
370#13063312C2311yescharacteristic
371#13063312C2314yes—
372#13063311C2314yes—
373#13063311C2314yes—
374#13063311C2314yes—
375#13063311C2314yes—
376#13063311C2314yes—
377#13063311C2314yes—
378#13063311C2314yes—
379#13063311C2314yes—
380#13063311C2314yes—
381#13063311C2312yes—
382#13063311C2312yes—
383#13063310C2314yes—
384#13063310C2314yes—
385#13063310C2314yes—
386#13063310C2312yes—
387#13063310C2314yes—
388#13063310C2314yes—
389#13063310C2314yes—
390#13063310C2314yes—
391#13063310C2314yes—
392#13063310C2314yes—
393#13063310C2312yes—
394#13063310C2314yes—
395#13063310C2314yes—
396#13063309C2314yes—
397#13063309C2314yes—
398#13063309C2314yes—
399#13063309C2314yes—
400#13063309C2314yes—
401#13063309C2314yes—
402#13063309C2314yes—
403#13063309C2314yes—
404#13063309C2312yes—
405#13063308C2312yes—
406#13063308C2314yes—
407#13063308C2314yes—
408#13063308C2314yes—
409#13063308C2314yes—
410#13063307C2314yes—
411#13063307C2314yes—
412#13063307C2314yes—
413#13063307C2314yes—
414#13063307C2314yes—
415#13063307C2314yes—
416#13063307C2314yes—
417#13063307C2314yes—
418#13063307C2312yes—
419#13063307C2312yes—
420#13063307C2314yes—
421#13063307C2314yes—
422#13063306C2314yes—
423#13063306C2312yes—
424#13063306C2314yes—
425#13063305C2312yes—
426#13063305C2312yes—
427#13063305C2312yes—
428#13063305C2312yes—
429#13063305C2312yes—
430#13063305C2314yes—
431#13063305C2314yes—
432#13063305C2314yes—
433#13063305C2314yes—
434#13063305C2314yes—
435#13063305C2314yes—
436#13063305C2312yes—
437#13063305C2311yescharacteristic
438#13063305C2312yes—
439#13063305C2312yes—
440#13063305C2312yes—
441#13063304C2312yes—
442#13063304C2312yes—
443#13063304C2314yes—
444#13063304C2314yes—
445#13063304C2311yescharacteristic
446#13063304C2312yes—
447#13063303C2314yes—
448#13063303C2314yes—
449#13063303C2314yes—
450#13063303C2314yes—
451#13063303C2312yes—
452#13063302C2314yes—
453#13063302C2314yes—
454#13063302C2314yes—
455#13063302C2314yes—
456#13063302C2314yes—
457#13063302C2312yes—
458#13063302C2314yes—
459#13063301C2312yes—
460#13063301C2314yes—
461#13063301C2314yes—
462#13063301C2314yes—
463#13063301C2314yes—
464#13063301C2314yes—
465#13063301C2314yes—
466#13063301C2311yescharacteristic
467#13063301C2312yes—
468#13063300C2312yes—
469#13063300C2314yes—
470#13063300C2312yes—
471#13063300C2312yes—
472#13063300C2311yescharacteristic
473#13063300C2312yes—
474#13063300C2312yes—
475#13063299C2314yes—
476#13063299C2312yes—
477#13063299C2314yes—
478#13063299C2314yes—
479#13063299C2314yes—
480#13063299C2311yescharacteristic
481#13063298C2314yes—
482#13063298C2314yes—
483#13063298C2314yes—
484#13063298C2314yes—
485#13063298C2314yes—
486#13063298C2314yes—
487#13063298C2312yes—
488#13063297C2314yes—
489#13063297C2314yes—
490#13063297C2314yes—
491#13063297C2314yes—
492#13063297C2314yes—
493#13063297C2312yes—
494#13063297C2314yes—
495#13063297C2314yes—
496#13063297C2314yes—
497#13063297C2314yes—
498#13063296C2312yes—
499#13063296C2314yes—
500#13063296C2314yes—
501#13063296C2312yes—
502#13063296C2311yescharacteristic
503#13063296C2312yes—
504#13063296C2312yes—
505#13063295C2314yes—
506#13063295C2314yes—
507#13063295C2314yes—
508#13063295C2314yes—
509#13063293C2314yes—
510#13063293C2314yes—
511#13063293C2314yes—
512#13063293C2314yes—
513#13063293C2314yes—
514#13063293C2314yes—
515#13063293C2314yes—
516Q8×Dic43C2311yescharacteristic
517Q8×Dic43C2312yes—
518Q8×Dic43C2314yes—
519Q8×Dic43C2314yes—
520Q8×Dic43C2312yes—
521C4×Dic86C2312yes—
522C4×Dic86C2312yes—
523C4×Dic86C2314yes—
524C4×Dic86C2314yes—
525C4×Dic86C2312yes—
526C4×Dic86C2311yescharacteristic
527C4×Dic86C2312yes—
528#13063290C2312yes—
529#13063290C2312yes—
530#13063290C2312yes—
531#13063290C2312yes—
532#13063290C2312yes—
533#13063290C2312yes—
534#13063290C2314yes—
535#13063290C2312yes—
536#13063290C2314yes—
537#13063290C2311yescharacteristic
538#13063290C2312yes—
539#13063290C2312yes—
540#13063290C2312yes—
541C4×D172C2312yes—
542C4×D172C2314yes—
543C4×D172C2311yescharacteristic
544C4×D172C2314yes—
545C4×D172C2312yes—
546D4×Dic43C2314yes—
547D4×Dic43C2314yes—
548D4×Dic43C2314yes—
549D4×Dic43C2314yes—
550D4×Dic43C2312yes—
551D4×Dic43C2312yes—
552D4×Dic43C2314yes—
553D4×Dic43C2314yes—
554D4×Dic43C2311yescharacteristic
555D4×Dic43C2312yes—
556D4×Dic43C2312yes—
557D4×Dic43C2314yes—
558D4×Dic43C2312yes—
559#13063287C2311yescharacteristic
560#13063287C2312yes—
561#13063287C2314yes—
562#13063287C2314yes—
563#13063287C2314yes—
564#13063287C2314yes—
565#13063287C2312yes—
566#13063287C2312yes—
567#13063287C2312yes—
568#13063287C2314yes—
569#13063287C2312yes—
570#13063287C2312yes—
571#13063287C2314yes—
572C4×C22⋊D43C2312yes—
573C4×C22⋊D43C2312yes—
574C4×C22⋊D43C2312yes—
575C4×C22⋊D43C2314yes—
576C4×C22⋊D43C2314yes—
577C4×C22⋊D43C2314yes—
578C4×C22⋊D43C2314yes—
579C4×C22⋊D43C2314yes—
580C4×C22⋊D43C2314yes—
581C4×C22⋊D43C2314yes—
582C4×C22⋊D43C2314yes—
583C4×C22⋊D43C2314yes—
584C4×C22⋊D43C2314yes—
585C4×C22⋊D43C2314yes—
586C4×C22⋊D43C2314yes—
587(C22⋊D43)⋊C4C2314yes—
588(C22⋊D43)⋊C4C2314yes—
589(C22⋊D43)⋊C4C2312yes—
590(C22⋊D43)⋊C4C2314yes—
591(C22⋊D43)⋊C4C2314yes—
592(C22⋊D43)⋊C4C2314yes—
593(C22⋊D43)⋊C4C2314yes—
594(C22⋊D43)⋊C4C2312yes—
595(C22⋊D43)⋊C4C2312yes—
596(C22⋊D43)⋊C4C2314yes—
597#13063284C2312yes—
598#13063284C2314yes—
599#13063284C2314yes—
600#13063284C2314yes—
601#13063284C2314yes—
602#13063284C2314yes—
603#13063284C2312yes—
604#13063283C2314yes—
605#13063283C2312yes—
606#13063283C2314yes—
607#13063283C2314yes—
608#13063283C2314yes—
609#13063283C2314yes—
610#13063283C2314yes—
611#13063283C2312yes—
612#13063283C2314yes—
613#13063283C2312yes—
614#13063283C2314yes—
615#13063283C2314yes—
616#13063283C2312yes—
617#13063283C2312yes—
618#13063282C2314yes—
619#13063282C2314yes—
620#13063282C2312yes—
621#13063282C2312yes—
622#13063281C2314yes—
623#13063281C2314yes—
624#13063281C2314yes—
625#13063281C2314yes—
626#13063281C2314yes—
627#13063281C2312yes—
628#13063281C2312yes—
629C2×C4⋊Dic43C2314yes—
630C2×C4⋊Dic43C2314yes—
631C2×C4⋊Dic43C2312yes—
632C2×Dic43⋊C4C2314yes—
633C2×Dic43⋊C4C2312yes—
634C4⋊C4×D43C2314yes—
635C4⋊C4×D43C2314yes—
636C4⋊C4×D43C2312yes—
637C4⋊C4×D43C2312yes—
638C4⋊C4×D43C2312yes—
639C4⋊C4×D43C2312yes—
640C4⋊C4×D43C2311yescharacteristic
641C4⋊C4×D43C2312yes—
642C4⋊C4×D43C2311yescharacteristic
643C2×(C2×D43)⋊C4C2312yes—
644C2×(C2×D43)⋊C4C2312yes—
645C2×(C2×D43)⋊C4C2312yes—
646C2×(C2×D43)⋊C4C2314yes—
647C2×(C2×D43)⋊C4C2314yes—
648C2×(C2×D43)⋊C4C2314yes—
649C2×(C2×D43)⋊C4C2314yes—
650C2×(C2×D43)⋊C4C2312yes—
651C2×(C2×D43)⋊C4C2312yes—
652C22⋊C4×D43C2314yes—
653C22⋊C4×D43C2312yes—
654C22⋊C4×D43C2312yes—
655C22⋊C4×D43C2314yes—
656C22⋊C4×D43C2314yes—
657C22⋊C4×D43C2314yes—
658C22⋊C4×D43C2312yes—
659C22⋊C4×D43C2312yes—
660C22⋊C4×D43C2312yes—
661C2×C4×Dic43C2311yescharacteristic
662C2×C4×Dic43C2311yescharacteristic
663C2×C4×Dic43C2311yescharacteristic
664C2×C4×Dic43C2312yes—
665C2×C4×Dic43C2314yes—
666C42×D43C2311yescharacteristic
667C42×D43C2311yescharacteristic
668C42×D43C2311yescharacteristic
669C42×D43C2311yescharacteristic
670C42×D43C2311yescharacteristic
671C42×D43C2311yescharacteristic
672C42×D43C2311yescharacteristic
673C42×D43C2311yescharacteristic
674C42×D43C2312yes—
675C2×#41×C43C2312yes—
676C2×#41×C43C2314yes—
677C4⋊Q8×C43C2311yescharacteristic
678C4⋊Q8×C43C2312yes—
679C4⋊Q8×C43C2314yes—
680#127×C43C2311yescharacteristic
681#126×C43C2314yes—
682#126×C43C2312yes—
683#126×C43C2314yes—
684#125×C43C2314yes—
685#125×C43C2312yes—
686#125×C43C2312yes—
687#125×C43C2312yes—
688#125×C43C2312yes—
689#125×C43C2311yescharacteristic
690#125×C43C2312yes—
691#124×C43C2311yescharacteristic
692#124×C43C2312yes—
693#123×C43C2312yes—
694#123×C43C2314yes—
695#123×C43C2314yes—
696#123×C43C2314yes—
697#123×C43C2314yes—
698#123×C43C2314yes—
699#123×C43C2314yes—
700C22⋊Q8×C43C2314yes—
701C22⋊Q8×C43C2314yes—
702C22⋊Q8×C43C2314yes—
703C22⋊Q8×C43C2314yes—
704C22⋊Q8×C43C2314yes—
705C22⋊Q8×C43C2311yescharacteristic
706C22⋊Q8×C43C2314yes—
707#121×C43C2312yes—
708#121×C43C2312yes—
709#121×C43C2312yes—
710#121×C43C2311yescharacteristic
711#121×C43C2312yes—
712#121×C43C2314yes—
713#121×C43C2314yes—
714#121×C43C2314yes—
715#121×C43C2314yes—
716C4×Q8×C43C2311yescharacteristic
717C4×D4×C43C2312yes—
718C4×D4×C43C2311yescharacteristic
719C4×D4×C43C2312yes—
720C4×D4×C43C2312yes—
721C4×D4×C43C2312yes—
722C4×D4×C43C2314yes—
723C4×D4×C43C2314yes—
724C4×D4×C43C2312yes—
725#117×C43C2312yes—
726#117×C43C2312yes—
727C2×C4⋊C4×C43C2311yescharacteristic
728C2×C4⋊C4×C43C2312yes—
729C2×C4⋊C4×C43C2312yes—
730C2×C4⋊C4×C43C2311yescharacteristic
731C2×C4⋊C4×C43C2314yes—
732C2×C4⋊C4×C43C2312yes—
733C2×C42×C43C2311yescharacteristic
734C23×D43C2411yescharacteristic
735C23×D43C2412yes—
736C23×D43C2412yes—
737C23×D43C2414yes—
738#41×C43—44no—
739#41×C43—48no—
740C2×Q8×C43C2411yescharacteristic
741C2×Q8×C43C2414yes—
742C2×Q8×C43C2412yes—
743C2×D4×C43C2412yes—
744C2×D4×C43C2412yes—
745C2×D4×C43C2414yes—
746C2×D4×C43C2414yes—
747C2×D4×C43C2411yescharacteristic
748C2×D4×C43C2412yes—
749C2×D4×C43C2414yes—
750C2×D4×C43C2412yes—
751C22×C4×C43C2411yescharacteristic
752C22×C4×C43C2411yescharacteristic
753C22×C4×C43C2412yes—
754C22×C4×C43C2412yes—
755C22×C4×C43C2411yescharacteristic
756C22×C4×C43C2412yes—
757C22×C4×C43C2414yes—
758C22×C4×C43C2414yes—
759C22×C4×C43C2414yes—
760C22×C4×C43C2414yes—
761C2×C22⋊D43C2414yes—
762C2×C22⋊D43C2412yes—
763C2×C22⋊D43C2414yes—
764C2×C22⋊D43C2412yes—
765C2×C22⋊D43C2414yes—
766C2×C22⋊D43C2414yes—
767C2×C22⋊D43C2414yes—
768C2×C22⋊D43C2414yes—
769C2×C22⋊D43C2412yes—
770C2×C22⋊D43C2414yes—
771C2×C22⋊D43C2414yes—
772C22×Dic43C2411yescharacteristic
773C22×Dic43C2411yescharacteristic
774C22×Dic43C2411yescharacteristic
775C22×Dic43C2412yes—
776C22×Dic43C2414yes—
777C22×Dic43C2414yes—
778C22×Dic43C2414yes—
779C22×Dic43C2414yes—
780C22×Dic43C2412yes—
781Q8×D43—42no—
782#10621900—44no—
783#10621900—44no—
784#10621900—44no—
785D4×D43—42no—
786D4×D43—48no—
787D4×D43—44no—
788D4×D43—48no—
789D4×D43—44no—
790#10621898—44no—
791#10621898—48no—
792C2×D172—44no—
793C2×D172—42no—
794C2×D172C2414yes—
795C2×D172C2412yes—
796C2×D172C2412yes—
797C2×D172C2414yes—
798C2×D172C2411yescharacteristic
799C2×D172C2414yes—
800C2×D172C2412yes—
801C2×C4×D43—42no—
802C2×C4×D43—42no—
803C2×C4×D43—44no—
804C2×C4×D43—42no—
805C2×C4×D43—44no—
806C2×C4×D43C2411yescharacteristic
807C2×C4×D43C2411yescharacteristic
808C2×C4×D43C2411yescharacteristic
809C2×C4×D43C2411yescharacteristic
810C2×C4×D43C2412yes—
811C2×C4×D43C2412yes—
812C2×C4×D43C2411yescharacteristic
813C2×C4×D43C2411yescharacteristic
814C2×C4×D43C2411yescharacteristic
815C2×C4×D43C2411yescharacteristic
816C2×C4×D43C2411yescharacteristic
817C2×C4×D43C2411yescharacteristic
818C2×C4×D43C2411yescharacteristic
819C2×C4×D43C2411yescharacteristic
820C2×C4×D43C2412yes—
821C2×C4×D43C2412yes—
822C2×C4×D43C2414yes—
823C2×C4×D43C2414yes—
824C2×C4×D43C2412yes—
825C2×C4×D43C2414yes—
826C2×C4×D43C2414yes—
827C2×C4×D43C2414yes—
828C2×C4×D43C2414yes—
829C2×Dic86—42no—
830C2×Dic86—44no—
831C2×Dic86C2412yes—
832C2×Dic86C2412yes—
833C2×Dic86C2412yes—
834C2×Dic86C2414yes—
835C2×Dic86C2412yes—
836C2×Dic86C2412yes—
837C2×Dic86C2411yescharacteristic
838C2×Dic86C2414yes—
839C4⋊C4×C43C2412yes—
840C4⋊C4×C43C2414yes—
841C4⋊C4×C43C2412yes—
842C4⋊C4×C43C2412yes—
843C4⋊C4×C43C2412yes—
844C4⋊C4×C43C2414yes—
845C4⋊C4×C43C2414yes—
846C4⋊C4×C43C2414yes—
847C4⋊C4×C43C2414yes—
848C4⋊C4×C43C2412yes—
849C4⋊C4×C43C2414yes—
850C4⋊C4×C43C2414yes—
851C4⋊C4×C43C2412yes—
852C4⋊C4×C43C2412yes—
853C4⋊C4×C43C2412yes—
854C4⋊C4×C43C2412yes—
855C4⋊C4×C43C2414yes—
856C4⋊C4×C43C2412yes—
857C4⋊C4×C43C2411yescharacteristic
858C4⋊C4×C43C2411yescharacteristic
859C22⋊C4×C43C2412yes—
860C22⋊C4×C43C2414yes—
861C22⋊C4×C43C2412yes—
862C22⋊C4×C43C2412yes—
863C22⋊C4×C43C2412yes—
864C22⋊C4×C43C2414yes—
865C22⋊C4×C43C2414yes—
866C22⋊C4×C43C2414yes—
867C22⋊C4×C43C2414yes—
868C22⋊C4×C43C2414yes—
869C22⋊C4×C43C2414yes—
870C22⋊C4×C43C2412yes—
871C42×C43C2411yescharacteristic
872C42×C43C2411yescharacteristic
873C42×C43C2411yescharacteristic
874C42×C43C2411yescharacteristic
875C42×C43C2412yes—
876C42×C43C2414yes—
877C22⋊Dic43C2412yes—
878C22⋊Dic43C2412yes—
879C22⋊Dic43C2414yes—
880C22⋊Dic43C2414yes—
881C22⋊Dic43C2412yes—
882C22⋊Dic43C2414yes—
883C22⋊Dic43C2414yes—
884C22⋊Dic43C2412yes—
885C22⋊Dic43C2412yes—
886C22⋊Dic43C2414yes—
887C22⋊Dic43C2414yes—
888C22⋊Dic43C2414yes—
889C22⋊Dic43C2414yes—
890(C2×D43)⋊C4C2412yes—
891(C2×D43)⋊C4C2412yes—
892(C2×D43)⋊C4C2414yes—
893(C2×D43)⋊C4C2412yes—
894(C2×D43)⋊C4C2412yes—
895(C2×D43)⋊C4C2412yes—
896(C2×D43)⋊C4C2414yes—
897(C2×D43)⋊C4C2414yes—
898(C2×D43)⋊C4C2414yes—
899(C2×D43)⋊C4C2414yes—
900(C2×D43)⋊C4C2412yes—
901(C2×D43)⋊C4C2412yes—
902(C2×D43)⋊C4C2412yes—
903(C2×D43)⋊C4C2412yes—
904(C2×D43)⋊C4C2412yes—
905(C2×D43)⋊C4C2414yes—
906(C2×D43)⋊C4C2414yes—
907(C2×D43)⋊C4C2414yes—
908(C2×D43)⋊C4C2414yes—
909(C2×D43)⋊C4C2414yes—
910(C2×D43)⋊C4C2414yes—
911(C2×D43)⋊C4C2414yes—
912(C2×D43)⋊C4C2414yes—
913(C2×D43)⋊C4C2414yes—
914(C2×D43)⋊C4C2414yes—
915(C2×D43)⋊C4C2414yes—
916(C2×D43)⋊C4C2414yes—
917(C2×D43)⋊C4C2414yes—
918(C2×D43)⋊C4C2414yes—
919(C2×D43)⋊C4C2414yes—
920(C2×D43)⋊C4C2414yes—
921(C2×D43)⋊C4C2414yes—
922C4⋊Dic43C2412yes—
923C4⋊Dic43C2412yes—
924C4⋊Dic43C2412yes—
925C4⋊Dic43C2412yes—
926C4⋊Dic43C2412yes—
927C4⋊Dic43C2411yescharacteristic
928C4⋊Dic43C2411yescharacteristic
929C4⋊Dic43C2414yes—
930C4⋊Dic43C2414yes—
931C4⋊Dic43C2414yes—
932C4⋊Dic43C2414yes—
933C4⋊Dic43C2414yes—
934C4⋊Dic43C2414yes—
935C4⋊Dic43C2414yes—
936C4⋊Dic43C2414yes—
937C4⋊Dic43C2412yes—
938C4⋊Dic43C2414yes—
939C4⋊Dic43C2412yes—
940C4⋊Dic43C2412yes—
941C4⋊Dic43C2414yes—
942Dic43⋊C4C2412yes—
943Dic43⋊C4C2414yes—
944Dic43⋊C4C2412yes—
945Dic43⋊C4C2414yes—
946Dic43⋊C4C2414yes—
947Dic43⋊C4C2412yes—
948Dic43⋊C4C2412yes—
949Dic43⋊C4C2412yes—
950Dic43⋊C4C2412yes—
951Dic43⋊C4C2412yes—
952Dic43⋊C4C2412yes—
953Dic43⋊C4C2412yes—
954Dic43⋊C4C2414yes—
955Dic43⋊C4C2414yes—
956Dic43⋊C4C2412yes—
957Dic43⋊C4C2414yes—
958Dic43⋊C4C2414yes—
959Dic43⋊C4C2414yes—
960Dic43⋊C4C2414yes—
961Dic43⋊C4C2414yes—
962Dic43⋊C4C2414yes—
963Dic43⋊C4C2414yes—
964Dic43⋊C4C2414yes—
965Dic43⋊C4C2414yes—
966C4×Dic43C2411yescharacteristic
967C4×Dic43C2411yescharacteristic
968C4×Dic43C2411yescharacteristic
969C4×Dic43C2411yescharacteristic
970C4×Dic43C2411yescharacteristic
971C4×Dic43C2411yescharacteristic
972C4×Dic43C2411yescharacteristic
973C4×Dic43C2411yescharacteristic
974C4×Dic43C2411yescharacteristic
975C4×Dic43C2411yescharacteristic
976C4×Dic43C2411yescharacteristic
977C4×Dic43C2411yescharacteristic
978C4×Dic43C2412yes—
979C4×Dic43C2412yes—
980C4×Dic43C2412yes—
981C4×Dic43C2414yes—
982C4×Dic43C2414yes—
983C4×Dic43C2414yes—
984C4×Dic43C2414yes—
985C4×Dic43C2414yes—
986C4×Dic43C2414yes—
987C4×Dic43C2414yes—
988C4×Dic43C2414yes—
989C4×Dic43C2414yes—
990C4×Dic43C2414yes—
991C23×C43C2512yes—
992C23×C43C2514yes—
993C23×C43C2511yescharacteristic
994C22×D43—22no—
995C22×D43—24no—
996C22×D43—22no—
997C22×D43—24no—
998C22×D43—41no—
999C22×D43—42no—
1000C22×D43—42no—
1001C22×D43—42no—
1002C22×D43—42no—
1003C22×D43—44no—
1004C22×D43—44no—
1005C22×D43—44no—
1006C22×D43C2512yes—
1007C22×D43C2514yes—
1008C22×D43C2511yescharacteristic
1009C22×D43C2511yescharacteristic
1010Q8×C43—41no—
1011Q8×C43—44no—
1012Q8×C43—42no—
1013D4×C43—24no—
1014D4×C43—28no—
1015D4×C43—24no—
1016D4×C43—41no—
1017D4×C43—44no—
1018D4×C43—42no—
1019D4×C43—44no—
1020D4×C43—42no—
1021C2×C4×C43—22no—
1022C2×C4×C43—24no—
1023C2×C4×C43—22no—
1024C2×C4×C43—24no—
1025C2×C4×C43—41no—
1026C2×C4×C43—42no—
1027C2×C4×C43—44no—
1028C2×C4×C43—44no—
1029C2×C4×C43—44no—
1030C2×C4×C43—44no—
1031C2×C4×C43C2511yescharacteristic
1032C2×C4×C43C2514yes—
1033C2×C4×C43C2512yes—
1034C2×C4×C43C2514yes—
1035C2×C4×C43C2511yescharacteristic
1036C2×C4×C43C2511yescharacteristic
1037C2×C4×C43C2511yescharacteristic
1038C2×C4×C43C2514yes—
1039C2×C4×C43C2511yescharacteristic
1040C2×C4×C43C2512yes—
1041C2×C4×C43C2512yes—
1042C2×C4×C43C2511yescharacteristic
1043C22⋊D43—24no—
1044C22⋊D43—28no—
1045C22⋊D43—44no—
1046C22⋊D43—44no—
1047C22⋊D43—42no—
1048C22⋊D43—44no—
1049C22⋊D43—44no—
1050C22⋊D43—44no—
1051C22⋊D43—42no—
1052C22⋊D43—44no—
1053C22⋊D43—44no—
1054C2×Dic43—22no—
1055C2×Dic43—42no—
1056C2×Dic43—44no—
1057C2×Dic43—41no—
1058C2×Dic43—41no—
1059C2×Dic43—42no—
1060C2×Dic43—44no—
1061C2×Dic43—44no—
1062C2×Dic43—44no—
1063C2×Dic43C2511yescharacteristic
1064C2×Dic43C2511yescharacteristic
1065C2×Dic43C2511yescharacteristic
1066C2×Dic43C2511yescharacteristic
1067C2×Dic43C2511yescharacteristic
1068C2×Dic43C2512yes—
1069C2×Dic43C2512yes—
1070C2×Dic43C2511yescharacteristic
1071C2×Dic43C2514yes—
1072C2×Dic43C2514yes—
1073C2×Dic43C2514yes—
1074C2×Dic43C2512yes—
1075D172—28no—
1076D172—24no—
1077D172—42no—
1078D172—44no—
1079D172—41no—
1080D172—44no—
1081D172—42no—
1082C4×D43—22no—
1083C4×D43—22no—
1084C4×D43—24no—
1085C4×D43—22no—
1086C4×D43—24no—
1087C4×D43—22no—
1088C4×D43—41no—
1089C4×D43—42no—
1090C4×D43—41no—
1091C4×D43—41no—
1092C4×D43—41no—
1093C4×D43—42no—
1094C4×D43—41no—
1095C4×D43—41no—
1096C4×D43—44no—
1097C4×D43—44no—
1098C4×D43—41no—
1099C4×D43—41no—
1100C4×D43—44no—
1101C4×D43—44no—
1102C4×D43—44no—
1103C4×D43—42no—
1104C4×D43—44no—
1105Dic86—24no—
1106Dic86—24no—
1107Dic86—42no—
1108Dic86—44no—
1109Dic86—44no—
1110Dic86—42no—
1111Dic86—41no—
1112Dic86—42no—
1113#62828—431nomaximal, Sylow
1114C22×C43—21no—
1115C22×C43—21no—
1116C22×C43—22no—
1117C22×C43—22no—
1118C22×C43—24no—
1119C22×C43—24no—
1120C22×C43—22no—
1121C22×C43—24no—
1122C22×C43#58512yes—
1123C22×C43C2611yescharacteristic
1124C2×D43—21no—
1125C2×D43—21no—
1126C2×D43—22no—
1127C2×D43—24no—
1128C2×D43—21no—
1129C2×D43—21no—
1130C2×D43—22no—
1131C2×D43—22no—
1132C2×D43—24no—
1133C2×D43—24no—
1134C2×D43—21no—
1135C2×D43—44no—
1136C2×D43—84no—
1137C2×D43—84no—
1138C2×D43—164no—
1139C2×D43#58512yes—
1140C4×C43—21no—
1141C4×C43—22no—
1142C4×C43—21no—
1143C4×C43—22no—
1144C4×C43—21no—
1145C4×C43—24no—
1146C4×C43—21no—
1147C4×C43—24no—
1148C4×C43—21no—
1149C4×C43—22no—
1150C4×C43—24no—
1151C4×C43#58512yes—
1152Dic43—24no—
1153Dic43—24no—
1154Dic43—22no—
1155Dic43—21no—
1156Dic43—24no—
1157Dic43—21no—
1158Dic43—21no—
1159Dic43—21no—
1160Dic43—22no—
1161Dic43—21no—
1162Dic43—21no—
1163Dic43—22no—
1164#3568—432no—
1165#3567—432no—
1166#3566—434no—
1167#3565—432no—
1168#3563—431no—
1169#3562—432no—
1170#3561—431no—
1171#3559D4311yescharacteristic, complemented
1172#3558—431no—
1173#3553—432no—
1174#3545—432no—
1175#3535—432no—
1176#3534—432no—
1177#3524—432no—
1178#3521—432no—
1179#3521—434no—
1180#3521—434no—
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#3444—431no—
1193C2×#529—431no—
1194C2×#529—431no—
1195C2×C43—22no—
1196C2×C43—42no—
1197C2×C43—44no—
1198C2×C43C2×#58511yescharacteristic
1199C2×C43C2×#58511yescharacteristic
1200C2×C43C2×#58511yescharacteristic
1201D43—22no—
1202D43—41no—
1203D43—44no—
1204D43—42no—
1205#564—432no—
1206#563—434no—
1207#563—432no—
1208#563—432no—
1209#563C2×D4312yescomplemented
1210#562—432no—
1211#562—432no—
1212#562—434no—
1213#562—434no—
1214#562C2×D4312yescomplemented
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—434no—
1227#556—434no—
1228#556—432no—
1229#556—432no—
1230#555—434no—
1231#555—434no—
1232#555—432no—
1233#554—434no—
1234#554—432no—
1235#554—434no—
1236#554—434no—
1237#554—432no—
1238#554C2×D4312yescomplemented
1239#553—434no—
1240#553—432no—
1241#553—434no—
1242#553—434no—
1243#553—434no—
1244#553—434no—
1245#553—434no—
1246#553—434no—
1247#553—434no—
1248#553—434no—
1249#553—432no—
1250#553—434no—
1251#553C2×D4312yescomplemented
1252#553C2×D4312yescomplemented
1253#552—434no—
1254#552—434no—
1255#552—434no—
1256#552—434no—
1257#552—432no—
1258#552—434no—
1259#552—434no—
1260#552—434no—
1261#552—434no—
1262#552—434no—
1263#552—432no—
1264#552—434no—
1265#552—432no—
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—432no—
1290#547C2×D4312yescomplemented
1291#547C2×D4314yescomplemented
1292#546—434no—
1293#546—434no—
1294#546—434no—
1295#546—434no—
1296#546—434no—
1297#546—434no—
1298#546—432no—
1299#546—432no—
1300#546—434no—
1301#546—432no—
1302#546—432no—
1303D42—434no—
1304D42—432no—
1305#544—432no—
1306#544—432no—
1307#544C2×D4312yescomplemented
1308#543—432no—
1309#542—432no—
1310#542—432no—
1311#542—434no—
1312#542—434no—
1313#542—434no—
1314#542—434no—
1315#542—434no—
1316#542—434no—
1317#542—432no—
1318#542—432no—
1319#541—434no—
1320#541—434no—
1321#541—432no—
1322#541—432no—
1323#541—434no—
1324#540—434no—
1325#540—432no—
1326#540—434no—
1327#540—434no—
1328#540C2×D4312yescomplemented
1329#539—434no—
1330#539—434no—
1331#539—434no—
1332#539—434no—
1333#539—434no—
1334#539—434no—
1335#539—434no—
1336#539—434no—
1337#539—434no—
1338#539—432no—
1339#539C2×D4312yescomplemented
1340#539C2×D4314yescomplemented
1341#538—434no—
1342#538—434no—
1343#538—434no—
1344#538—434no—
1345#538—434no—
1346#538—434no—
1347#538—432no—
1348#538—432no—
1349#538—434no—
1350#538—434no—
1351#537C2×D4312yescomplemented
1352#536—434no—
1353#536—432no—
1354#535—432no—
1355#534—432no—
1356#534—434no—
1357#533—431no—
1358#533—431no—
1359#533—432no—
1360#533—431no—
1361#532—431no—
1362#532—431no—
1363#532—432no—
1364#532C2×D4311yescharacteristic, complemented
1365#529—432no—
1366#529—432no—
1367#529—432no—
1368#529—432no—
1369#529—432no—
1370#529—432no—
1371#529—432no—
1372#529—432no—
1373#529—432no—
1374#529—431no—
1375#529—432no—
1376#529—431no—
1377#529—432no—
1378#529—432no—
1379#529—432no—
1380#529—434no—
1381#529—431no—
1382#529—434no—
1383#529—431no—
1384#529—432no—
1385#529—432no—
1386#529—434no—
1387#529—431no—
1388#529—432no—
1389#529—431no—
1390#529—432no—
1391#529—432no—
1392#529—434no—
1393#529—434no—
1394#529—432no—
1395#529—432no—
1396#529—431no—
1397#529C2×D4311yescharacteristic, complemented
1398C2×#126—432no—
1399C2×#126—432no—
1400C2×#126—434no—
1401C2×#125—431no—
1402C2×#125C2×D4311yescharacteristic, complemented
1403C2×#124—431no—
1404C2×#124—431no—
1405#525—432no—
1406#525—434no—
1407#525—432no—
1408#525—432no—
1409#525—432no—
1410#525—432no—
1411C2×#123—432no—
1412C2×#123—434no—
1413C2×#123—432no—
1414C2×C22⋊Q8—431no—
1415C2×C22⋊Q8—431no—
1416C2×C22⋊Q8—432no—
1417C2×#121—431no—
1418C2×#121—432no—
1419C2×#121—431no—
1420#520—434no—
1421#520—432no—
1422#520—432no—
1423#520—434no—
1424#519—432no—
1425#518—434no—
1426#518—432no—
1427#518—434no—
1428C4×#41—432no—
1429C4×#41—432no—
1430C4×#41—432no—
1431C2×C4×Q8—431no—
1432C2×C4×Q8—431no—
1433C2×C4×D4—431no—
1434C2×C4×D4—432no—
1435C2×C4×D4—432no—
1436C2×C4×D4—431no—
1437C2×#117—432no—
1438C2×#117—432no—
1439C22×C42—431no—
1440C43#6282811yescharacteristic, complemented, Sylow
1441C2×#41—432no—
1442C2×#41—432no—
1443C2×#41—432no—
1444C2×#41—432no—
1445C2×#41—434no—
1446C2×#41C22×D4312yes—
1447C2×#41C22×D4314yes—
1448C22×Q8—431no—
1449C22×Q8—431no—
1450C22×Q8—432no—
1451C22×D4—432no—
1452C22×D4—431no—
1453C22×D4—434no—
1454C22×D4—432no—
1455C22×D4—434no—
1456C22×D4—432no—
1457C22×D4—431no—
1458C23×C4—432no—
1459C23×C4—432no—
1460C23×C4—431no—
1461C23×C4—431no—
1462C23×C4—431no—
1463C4⋊Q8—432no—
1464C4⋊Q8—434no—
1465C4⋊Q8—434no—
1466C4⋊Q8—434no—
1467C4⋊Q8—434no—
1468C4⋊Q8—431no—
1469C4⋊Q8—431no—
1470C4⋊Q8—432no—
1471C4⋊Q8C22×D4311yescharacteristic
1472C4⋊Q8C22×D4312yes—
1473C4⋊Q8C22×D4314yes—
1474#127—432no—
1475#127—434no—
1476#127C22×D4311yescharacteristic
1477#126—432no—
1478#126—434no—
1479#126—434no—
1480#126—432no—
1481#126—432no—
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—434no—
1496#126—434no—
1497#126—434no—
1498#126—434no—
1499#126—434no—
1500#126—434no—
1501#126—432no—
1502#126—432no—
1503#126—432no—
1504#126—434no—
1505#126—434no—
1506#126—434no—
1507#126—434no—
1508#126—434no—
1509#126—434no—
1510#126—434no—
1511#126—432no—
1512#126C22×D4312yes—
1513#126C22×D4314yes—
1514#126C22×D4314yes—
1515#125—432no—
1516#125—432no—
1517#125—431no—
1518#125—431no—
1519#125—432no—
1520#125—432no—
1521#125—434no—
1522#125—434no—
1523#125—434no—
1524#125—434no—
1525#125—432no—
1526#125—434no—
1527#125—434no—
1528#125—434no—
1529#125—434no—
1530#125—434no—
1531#125—434no—
1532#125—434no—
1533#125—434no—
1534#125—434no—
1535#125—434no—
1536#125—431no—
1537#125—432no—
1538#125—434no—
1539#125C22×D4311yescharacteristic
1540#125C22×D4312yes—
1541#125C22×D4312yes—
1542#125C22×D4312yes—
1543#125C22×D4312yes—
1544#125C22×D4312yes—
1545#125C22×D4314yes—
1546#124—431no—
1547#124—434no—
1548#124—434no—
1549#124—434no—
1550#124—431no—
1551#124—432no—
1552#124—432no—
1553#124—432no—
1554#124—434no—
1555#124—432no—
1556#124—432no—
1557#124—434no—
1558#124—434no—
1559#124—434no—
1560#124—434no—
1561#124—434no—
1562#124—434no—
1563#124—434no—
1564#124—434no—
1565#124—434no—
1566#124—432no—
1567#124—432no—
1568#124—432no—
1569#124—431no—
1570#124—432no—
1571#124—432no—
1572#124—434no—
1573#124C22×D4311yescharacteristic
1574#124C22×D4312yes—
1575#123—432no—
1576#123—434no—
1577#123—434no—
1578#123—432no—
1579#123—434no—
1580#123—434no—
1581#123—434no—
1582#123—434no—
1583#123—434no—
1584#123—432no—
1585#123—434no—
1586#123—434no—
1587#123—432no—
1588#123—434no—
1589#123—434no—
1590#123—434no—
1591#123—434no—
1592#123—434no—
1593#123—434no—
1594#123—434no—
1595#123—434no—
1596#123—432no—
1597#123—432no—
1598#123—432no—
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#123C22×D4312yes—
1618#123C22×D4314yes—
1619#123C22×D4314yes—
1620#123C22×D4314yes—
1621#123C22×D4314yes—
1622#123C22×D4314yes—
1623#123C22×D4314yes—
1624C22⋊Q8—431no—
1625C22⋊Q8—432no—
1626C22⋊Q8—432no—
1627C22⋊Q8—434no—
1628C22⋊Q8—434no—
1629C22⋊Q8—434no—
1630C22⋊Q8—434no—
1631C22⋊Q8—434no—
1632C22⋊Q8—434no—
1633C22⋊Q8—431no—
1634C22⋊Q8—432no—
1635C22⋊Q8—432no—
1636C22⋊Q8—432no—
1637C22⋊Q8—434no—
1638C22⋊Q8—434no—
1639C22⋊Q8—432no—
1640C22⋊Q8—432no—
1641C22⋊Q8—432no—
1642C22⋊Q8—431no—
1643C22⋊Q8—432no—
1644C22⋊Q8—432no—
1645C22⋊Q8—432no—
1646C22⋊Q8—434no—
1647C22⋊Q8—434no—
1648C22⋊Q8—432no—
1649C22⋊Q8—432no—
1650C22⋊Q8—432no—
1651C22⋊Q8—432no—
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—432no—
1661C22⋊Q8—434no—
1662C22⋊Q8—434no—
1663C22⋊Q8—434no—
1664C22⋊Q8—434no—
1665C22⋊Q8—434no—
1666C22⋊Q8—434no—
1667C22⋊Q8C22×D4311yescharacteristic
1668C22⋊Q8C22×D4314yes—
1669C22⋊Q8C22×D4314yes—
1670C22⋊Q8C22×D4314yes—
1671C22⋊Q8C22×D4314yes—
1672C22⋊Q8C22×D4314yes—
1673C22⋊Q8C22×D4314yes—
1674#121—432no—
1675#121—431no—
1676#121—432no—
1677#121—434no—
1678#121—432no—
1679#121—432no—
1680#121—432no—
1681#121—434no—
1682#121—434no—
1683#121—434no—
1684#121—434no—
1685#121—434no—
1686#121—434no—
1687#121—434no—
1688#121—434no—
1689#121—434no—
1690#121—434no—
1691#121—431no—
1692#121—432no—
1693#121—434no—
1694#121—434no—
1695#121—434no—
1696#121—434no—
1697#121—432no—
1698#121—431no—
1699#121—432no—
1700#121—432no—
1701#121—432no—
1702#121—432no—
1703#121—434no—
1704#121—432no—
1705#121—434no—
1706#121—434no—
1707#121—434no—
1708#121—434no—
1709#121—434no—
1710#121—434no—
1711#121C22×D4311yescharacteristic
1712#121C22×D4312yes—
1713#121C22×D4312yes—
1714#121C22×D4312yes—
1715#121C22×D4312yes—
1716#121C22×D4314yes—
1717#121C22×D4314yes—
1718#121C22×D4314yes—
1719#121C22×D4314yes—
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#120—434no—
1731C4×Q8—431no—
1732C4×Q8—432no—
1733C4×Q8—432no—
1734C4×Q8—434no—
1735C4×Q8—434no—
1736C4×Q8—432no—
1737C4×Q8—432no—
1738C4×Q8—432no—
1739C4×Q8—432no—
1740C4×Q8—432no—
1741C4×Q8—431no—
1742C4×Q8—432no—
1743C4×Q8—432no—
1744C4×Q8—432no—
1745C4×Q8—432no—
1746C4×Q8—434no—
1747C4×Q8—434no—
1748C4×Q8—432no—
1749C4×Q8—432no—
1750C4×Q8—431no—
1751C4×Q8—432no—
1752C4×Q8—432no—
1753C4×Q8—434no—
1754C4×Q8—434no—
1755C4×Q8—432no—
1756C4×Q8C22×D4311yescharacteristic
1757C4×D4—432no—
1758C4×D4—431no—
1759C4×D4—434no—
1760C4×D4—432no—
1761C4×D4—434no—
1762C4×D4—432no—
1763C4×D4—432no—
1764C4×D4—432no—
1765C4×D4—434no—
1766C4×D4—434no—
1767C4×D4—434no—
1768C4×D4—434no—
1769C4×D4—434no—
1770C4×D4—432no—
1771C4×D4—432no—
1772C4×D4—432no—
1773C4×D4—434no—
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—434no—
1784C4×D4—434no—
1785C4×D4—434no—
1786C4×D4—432no—
1787C4×D4—432no—
1788C4×D4—432no—
1789C4×D4—434no—
1790C4×D4—434no—
1791C4×D4—432no—
1792C4×D4—431no—
1793C4×D4—432no—
1794C4×D4—434no—
1795C4×D4—434no—
1796C4×D4—434no—
1797C4×D4—432no—
1798C4×D4—432no—
1799C4×D4—432no—
1800C4×D4—432no—
1801C4×D4—434no—
1802C4×D4—434no—
1803C4×D4—434no—
1804C4×D4—434no—
1805C4×D4—434no—
1806C4×D4—434no—
1807C4×D4—434no—
1808C4×D4—431no—
1809C4×D4—432no—
1810C4×D4—434no—
1811C4×D4—434no—
1812C4×D4—432no—
1813C4×D4C22×D4312yes—
1814C4×D4C22×D4311yescharacteristic
1815C4×D4C22×D4312yes—
1816C4×D4C22×D4312yes—
1817C4×D4C22×D4314yes—
1818C4×D4C22×D4314yes—
1819C4×D4C22×D4312yes—
1820C4×D4C22×D4312yes—
1821#117—432no—
1822#117—432no—
1823#117—434no—
1824#117—434no—
1825#117—434no—
1826#117—434no—
1827#117—434no—
1828#117—432no—
1829#117—432no—
1830#117—434no—
1831#117—434no—
1832#117—434no—
1833#117—434no—
1834#117—432no—
1835#117—432no—
1836#117—432no—
1837#117—434no—
1838#117—434no—
1839#117—434no—
1840#117—434no—
1841#117—434no—
1842#117—432no—
1843#117—432no—
1844#117—434no—
1845#117—434no—
1846#117—434no—
1847#117—434no—
1848#117—434no—
1849#117—432no—
1850#117—432no—
1851#117—434no—
1852#117—434no—
1853#117C22×D4312yes—
1854#117C22×D4312yes—
1855C2×C4⋊C4—432no—
1856C2×C4⋊C4—432no—
1857C2×C4⋊C4—434no—
1858C2×C4⋊C4—434no—
1859C2×C4⋊C4—434no—
1860C2×C4⋊C4—432no—
1861C2×C4⋊C4—432no—
1862C2×C4⋊C4—431no—
1863C2×C4⋊C4—432no—
1864C2×C4⋊C4—432no—
1865C2×C4⋊C4—431no—
1866C2×C4⋊C4—432no—
1867C2×C4⋊C4—434no—
1868C2×C4⋊C4—434no—
1869C2×C4⋊C4C22×D4312yes—
1870C2×C4⋊C4C22×D4311yescharacteristic
1871C2×C4⋊C4C22×D4312yes—
1872C2×C4⋊C4C22×D4311yescharacteristic
1873C2×C4⋊C4C22×D4312yes—
1874C2×C4⋊C4C22×D4314yes—
1875C2×C22⋊C4—432no—
1876C2×C22⋊C4—432no—
1877C2×C22⋊C4—432no—
1878C2×C22⋊C4—432no—
1879C2×C22⋊C4—432no—
1880C2×C22⋊C4—434no—
1881C2×C22⋊C4—434no—
1882C2×C22⋊C4—434no—
1883C2×C22⋊C4—434no—
1884C2×C22⋊C4—432no—
1885C2×C22⋊C4—432no—
1886C2×C22⋊C4—432no—
1887C2×C22⋊C4—432no—
1888C2×C22⋊C4—432no—
1889C2×C22⋊C4—434no—
1890C2×C22⋊C4—434no—
1891C2×C22⋊C4—434no—
1892C2×C22⋊C4—434no—
1893C2×C42—431no—
1894C2×C42—432no—
1895C2×C42—431no—
1896C2×C42—434no—
1897C2×C42—431no—
1898C2×C42—431no—
1899C2×C42—432no—
1900C2×C42—431no—
1901C2×C42—431no—
1902C2×C42—431no—
1903C2×C42—431no—
1904C2×C42—431no—
1905C2×C42—431no—
1906C2×C42—431no—
1907C2×C42C22×D4311yescharacteristic
1908C24—431no—
1909C24—432no—
1910C24—432no—
1911C24—434no—
1912#41—44no—
1913#41—48no—
1914#41—1724no—
1915#41—1728no—
1916#41—1724no—
1917#41—1724no—
1918#41—1724no—
1919C2×Q8—432no—
1920C2×Q8—432no—
1921C2×Q8—434no—
1922C2×Q8—432no—
1923C2×Q8—432no—
1924C2×Q8—432no—
1925C2×Q8—434no—
1926C2×Q8—431no—
1927C2×Q8—1722no—
1928C2×Q8—1724no—
1929C2×Q8—1722no—
1930C2×Q8C23×D4314yes—
1931C2×Q8C23×D4312yes—
1932C2×Q8C23×D4311yescharacteristic
1933C2×D4—434no—
1934C2×D4—432no—
1935C2×D4—434no—
1936C2×D4—434no—
1937C2×D4—434no—
1938C2×D4—432no—
1939C2×D4—434no—
1940C2×D4—434no—
1941C2×D4—434no—
1942C2×D4—434no—
1943C2×D4—432no—
1944C2×D4—434no—
1945C2×D4—432no—
1946C2×D4—431no—
1947C2×D4—434no—
1948C2×D4—432no—
1949C2×D4—432no—
1950C2×D4—434no—
1951C2×D4—1722no—
1952C2×D4—1724no—
1953C2×D4—1724no—
1954C2×D4—1722no—
1955C2×D4—1728no—
1956C2×D4—1724no—
1957C2×D4—1728no—
1958C2×D4C23×D4312yes—
1959C2×D4C23×D4314yes—
1960C2×D4C23×D4312yes—
1961C2×D4C23×D4314yes—
1962C2×D4C23×D4312yes—
1963C2×D4C23×D4312yes—
1964C2×D4C23×D4311yescharacteristic
1965C2×D4C23×D4314yes—
1966C22×C4—431no—
1967C22×C4—431no—
1968C22×C4—431no—
1969C22×C4—432no—
1970C22×C4—434no—
1971C22×C4—434no—
1972C22×C4—434no—
1973C22×C4—434no—
1974C22×C4—432no—
1975C22×C4—431no—
1976C22×C4—431no—
1977C22×C4—431no—
1978C22×C4—431no—
1979C22×C4—432no—
1980C22×C4—432no—
1981C22×C4—431no—
1982C22×C4—431no—
1983C22×C4—431no—
1984C22×C4—431no—
1985C22×C4—431no—
1986C22×C4—431no—
1987C22×C4—431no—
1988C22×C4—431no—
1989C22×C4—432no—
1990C22×C4—432no—
1991C22×C4—434no—
1992C22×C4—434no—
1993C22×C4—432no—
1994C22×C4—434no—
1995C22×C4—434no—
1996C22×C4—434no—
1997C22×C4—434no—
1998C22×C4—1722no—
1999C22×C4—1724no—
2000C22×C4—1724no—
2001C22×C4—1722no—
2002C22×C4—1722no—
2003C22×C4C23×D4311yescharacteristic
2004C22×C4C23×D4311yescharacteristic
2005C22×C4C23×D4312yes—
2006C22×C4C23×D4312yes—
2007C22×C4C23×D4311yescharacteristic
2008C22×C4C23×D4312yes—
2009C22×C4C23×D4314yes—
2010C22×C4C23×D4314yes—
2011C22×C4C23×D4314yes—
2012C22×C4C23×D4314yes—
2013C4⋊C4—432no—
2014C4⋊C4—432no—
2015C4⋊C4—432no—
2016C4⋊C4—432no—
2017C4⋊C4—434no—
2018C4⋊C4—434no—
2019C4⋊C4—434no—
2020C4⋊C4—434no—
2021C4⋊C4—434no—
2022C4⋊C4—432no—
2023C4⋊C4—432no—
2024C4⋊C4—432no—
2025C4⋊C4—432no—
2026C4⋊C4—434no—
2027C4⋊C4—434no—
2028C4⋊C4—434no—
2029C4⋊C4—432no—
2030C4⋊C4—432no—
2031C4⋊C4—432no—
2032C4⋊C4—432no—
2033C4⋊C4—432no—
2034C4⋊C4—432no—
2035C4⋊C4—431no—
2036C4⋊C4—434no—
2037C4⋊C4—434no—
2038C4⋊C4—434no—
2039C4⋊C4—434no—
2040C4⋊C4—434no—
2041C4⋊C4—432no—
2042C4⋊C4—431no—
2043C4⋊C4—434no—
2044C4⋊C4—434no—
2045C4⋊C4—434no—
2046C4⋊C4—434no—
2047C4⋊C4—434no—
2048C4⋊C4—434no—
2049C4⋊C4—434no—
2050C4⋊C4—434no—
2051C4⋊C4—434no—
2052C4⋊C4—432no—
2053C4⋊C4—432no—
2054C4⋊C4—432no—
2055C4⋊C4—434no—
2056C4⋊C4—434no—
2057C4⋊C4C23×D4312yes—
2058C4⋊C4C23×D4314yes—
2059C4⋊C4C23×D4314yes—
2060C4⋊C4C23×D4312yes—
2061C4⋊C4C23×D4312yes—
2062C4⋊C4C23×D4312yes—
2063C4⋊C4C23×D4311yescharacteristic
2064C4⋊C4C23×D4312yes—
2065C4⋊C4C23×D4311yescharacteristic
2066C4⋊C4C23×D4312yes—
2067C4⋊C4C23×D4314yes—
2068C4⋊C4C23×D4314yes—
2069C4⋊C4C23×D4314yes—
2070C4⋊C4C23×D4312yes—
2071C4⋊C4C23×D4314yes—
2072C4⋊C4C23×D4312yes—
2073C4⋊C4C23×D4314yes—
2074C4⋊C4C23×D4312yes—
2075C4⋊C4C23×D4314yes—
2076C4⋊C4C23×D4312yes—
2077C22⋊C4—432no—
2078C22⋊C4—432no—
2079C22⋊C4—432no—
2080C22⋊C4—434no—
2081C22⋊C4—434no—
2082C22⋊C4—434no—
2083C22⋊C4—434no—
2084C22⋊C4—432no—
2085C22⋊C4—432no—
2086C22⋊C4—434no—
2087C22⋊C4—434no—
2088C22⋊C4—434no—
2089C22⋊C4—434no—
2090C22⋊C4—432no—
2091C22⋊C4—432no—
2092C22⋊C4—432no—
2093C22⋊C4—432no—
2094C22⋊C4—432no—
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—434no—
2104C22⋊C4—434no—
2105C22⋊C4—434no—
2106C22⋊C4—432no—
2107C22⋊C4—432no—
2108C22⋊C4—434no—
2109C22⋊C4—434no—
2110C22⋊C4—434no—
2111C22⋊C4—432no—
2112C22⋊C4—434no—
2113C22⋊C4—434no—
2114C22⋊C4—434no—
2115C22⋊C4—434no—
2116C22⋊C4—432no—
2117C22⋊C4—434no—
2118C22⋊C4—432no—
2119C22⋊C4—434no—
2120C22⋊C4—434no—
2121C22⋊C4—434no—
2122C22⋊C4C23×D4312yes—
2123C22⋊C4C23×D4312yes—
2124C22⋊C4C23×D4312yes—
2125C22⋊C4C23×D4312yes—
2126C22⋊C4C23×D4314yes—
2127C22⋊C4C23×D4312yes—
2128C22⋊C4C23×D4314yes—
2129C22⋊C4C23×D4314yes—
2130C22⋊C4C23×D4314yes—
2131C22⋊C4C23×D4314yes—
2132C22⋊C4C23×D4314yes—
2133C22⋊C4C23×D4314yes—
2134C42—431no—
2135C42—431no—
2136C42—431no—
2137C42—431no—
2138C42—431no—
2139C42—431no—
2140C42—431no—
2141C42—431no—
2142C42—431no—
2143C42—431no—
2144C42—431no—
2145C42—431no—
2146C42—432no—
2147C42—434no—
2148C42—434no—
2149C42—434no—
2150C42—434no—
2151C42—434no—
2152C42—432no—
2153C42—432no—
2154C42—434no—
2155C42—434no—
2156C42—434no—
2157C42—434no—
2158C42—434no—
2159C42C23×D4311yescharacteristic
2160C42C23×D4311yescharacteristic
2161C42C23×D4311yescharacteristic
2162C42C23×D4311yescharacteristic
2163C42C23×D4312yes—
2164C42C23×D4314yes—
2165C23—431no—
2166C23—432no—
2167C23—434no—
2168C23—431no—
2169C23—864no—
2170C23—862no—
2171C23—864no—
2172C23—862no—
2173C23—1722no—
2174C23—1722no—
2175C23—1722no—
2176C23—1722no—
2177C23—1721no—
2178C23—1724no—
2179C23—1724no—
2180C23—1724no—
2181C23C24×D4314yes—
2182C23C24×D4312yes—
2183C23C24×D4311yescharacteristic
2184Q8—41no—
2185Q8—44no—
2186Q8—42no—
2187Q8—864no—
2188Q8—864no—
2189Q8—1722no—
2190Q8—1721no—
2191Q8—1724no—
2192Q8—1722no—
2193Q8—1724no—
2194Q8—1722no—
2195D4—24no—
2196D4—28no—
2197D4—24no—
2198D4—44no—
2199D4—41no—
2200D4—44no—
2201D4—42no—
2202D4—42no—
2203D4—868no—
2204D4—868no—
2205D4—864no—
2206D4—864no—
2207D4—1724no—
2208D4—1721no—
2209D4—1724no—
2210D4—1722no—
2211D4—1722no—
2212D4—1722no—
2213D4—1724no—
2214D4—1724no—
2215D4—1722no—
2216D4—1724no—
2217D4—1724no—
2218D4—1724no—
2219D4—1724no—
2220D4—1724no—
2221C2×C4—22no—
2222C2×C4—24no—
2223C2×C4—22no—
2224C2×C4—24no—
2225C2×C4—41no—
2226C2×C4—42no—
2227C2×C4—44no—
2228C2×C4—44no—
2229C2×C4—44no—
2230C2×C4—44no—
2231C2×C4—431no—
2232C2×C4—431no—
2233C2×C4—431no—
2234C2×C4—431no—
2235C2×C4—431no—
2236C2×C4—432no—
2237C2×C4—434no—
2238C2×C4—431no—
2239C2×C4—434no—
2240C2×C4—434no—
2241C2×C4—432no—
2242C2×C4—432no—
2243C2×C4—862no—
2244C2×C4—862no—
2245C2×C4—864no—
2246C2×C4—862no—
2247C2×C4—862no—
2248C2×C4—864no—
2249C2×C4—862no—
2250C2×C4—1721no—
2251C2×C4—1721no—
2252C2×C4—1721no—
2253C2×C4—1721no—
2254C2×C4—1724no—
2255C2×C4—1724no—
2256C2×C4—1721no—
2257C2×C4—1721no—
2258C2×C4—1722no—
2259C2×C4—1722no—
2260C2×C4—1721no—
2261C2×C4—1721no—
2262C2×C4—1724no—
2263C2×C4—1722no—
2264C2×C4—1724no—
2265C2×C4—1724no—
2266C2×C4—1724no—
2267C2×C4—1721no—
2268C2×C4—1721no—
2269C2×C4—1722no—
2270C2×C4—1724no—
2271C2×C4—1722no—
2272C2×C4—1724no—
2273C2×C4—1724no—
2274C2×C4—1724no—
2275C2×C4C24×D4311yescharacteristic
2276C2×C4C24×D4314yes—
2277C2×C4C24×D4312yes—
2278C2×C4C24×D4314yes—
2279C2×C4C24×D4311yescharacteristic
2280C2×C4C24×D4311yescharacteristic
2281C2×C4C24×D4311yescharacteristic
2282C2×C4C24×D4311yescharacteristic
2283C2×C4C24×D4314yes—
2284C2×C4C24×D4312yes—
2285C2×C4C24×D4312yes—
2286C2×C4C24×D4311yescharacteristic
2287C22—21no—
2288C22—21no—
2289C22—24no—
2290C22—22no—
2291C22—22no—
2292C22—24no—
2293C22—22no—
2294C22—24no—
2295C22—432no—
2296C22—861no—
2297C22—861no—
2298C22—861no—
2299C22—862no—
2300C22—864no—
2301C22—864no—
2302C22—861no—
2303C22—862no—
2304C22—861no—
2305C22—862no—
2306C22—864no—
2307C22—3444no—
2308C22—3444no—
2309C22—1724no—
2310C22—6884no—
2311C22#1458373412yes—
2312C22C25×D4311yescharacteristic
2313C4—22no—
2314C4—24no—
2315C4—21no—
2316C4—21no—
2317C4—21no—
2318C4—24no—
2319C4—21no—
2320C4—24no—
2321C4—22no—
2322C4—22no—
2323C4—21no—
2324C4—861no—
2325C4—861no—
2326C4—862no—
2327C4—864no—
2328C4—861no—
2329C4—861no—
2330C4—862no—
2331C4—861no—
2332C4—861no—
2333C4—862no—
2334C4—864no—
2335C4—864no—
2336C4#1458373612yes—
2337C2—22no—
2338C2—42no—
2339C2—44no—
2340C2—862no—
2341C2—1722no—
2342C2—1724no—
2343C2—1721no—
2344C2#585×D4311yescharacteristic
2345C2C2×#1458373411yescharacteristic
2346C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3559C2
hypercenter#3559D43
hypocenterC43#62828
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #19149292C2semidirect
2. #19149282C2semidirect
3. #19149254C2semidirect
4. #19149236C2semidirect
5. #19149201C2semidirect
6. #19149185C2semidirect
7. #19149165C2semidirect
8. #19149118C2semidirect
9. #19149046C2semidirect
10. #19148945C2semidirect
11. #19148801C2semidirect
12. #19148774C2semidirect
13. #19148703C2semidirect
14. #19148666C2semidirect
15. #19148664C2semidirect
16. #19148653C2semidirect
17. #19148635C2semidirect
18. #19148620C2semidirect
19. #19148579C2semidirect
20. #19148530C2semidirect
21. #19148530C2semidirect
22. #19148458C2semidirect
23. #19148424C2semidirect
24. #19148350C2semidirect
25. #19148322C2semidirect
26. #19148314C2semidirect
27. #19148289C2semidirect
28. #19147890C2semidirect
29. C2×#14583434C2semidirect
30. #529×D43C2semidirect
31. C43×#3559C2semidirect
32. C43⋊#564C22semidirect
33. #14583653C22semidirect
34. #14583653C22semidirect
35. #14583653C22semidirect
36. #14583646C22semidirect
37. #14583645C22semidirect
38. #14583643C22semidirect
39. #14583643C22semidirect
40. #14583641C22semidirect
41. #14583637C22semidirect
42. #14583632C22semidirect
43. #14583632C22semidirect
44. #14583632C22semidirect
45. #14583626C22semidirect
46. #14583626C22semidirect
47. #14583623C22semidirect
48. #14583623C22semidirect
49. #14583622C22semidirect
50. #14583620C22semidirect
51. #14583620C22semidirect
52. #14583620C22semidirect
53. #14583619C22semidirect
54. #14583616C22semidirect
55. #14583613C22semidirect
56. #14583613C22semidirect
57. #14583612C22semidirect
58. #14583610C22semidirect
59. #14583610C22semidirect
60. #14583608C22semidirect
61. #14583607C22semidirect
62. #14583604C22semidirect
63. #14583602C22semidirect
64. #14583601C22semidirect
65. #14583601C22semidirect
66. #14583600C22semidirect
67. #14583597C22semidirect
68. #14583597C22semidirect
69. #14583595C22semidirect
70. #14583594C22semidirect
71. #14583594C22semidirect
72. #14583594C22semidirect
73. #14583592C22semidirect
74. #14583592C22semidirect
75. #14583591C22semidirect
76. #14583591C22semidirect
77. #14583591C22semidirect
78. #14583588C22semidirect
79. #14583587C22semidirect
80. #14583587C22semidirect
81. #14583587C22semidirect
82. #14583586C22semidirect
83. #14583585C22semidirect
84. #14583584C22semidirect
85. #14583584C22semidirect
86. #14583584C22semidirect
87. #14583584C22semidirect
88. #14583583C22semidirect
89. #14583581C22semidirect
90. #14583577C22semidirect
91. #14583576C22semidirect
92. #14583576C22semidirect
93. #14583576C22semidirect
94. #14583576C22semidirect
95. #14583576C22semidirect
96. #14583574C22semidirect
97. #14583572C22semidirect
98. #14583572C22semidirect
99. #14583572C22semidirect
100. #14583572C22semidirect
101. #14583572C22semidirect
102. #14583572C22semidirect
103. #14583572C22semidirect
104. #14583567C22semidirect
105. D4×Dic86C22semidirect
106. #14583558C22semidirect
107. #14583555C22semidirect
108. #14583555C22semidirect
109. #14583555C22semidirect
110. #14583553C22semidirect
111. #14583547C22semidirect
112. #14583546C22semidirect
113. #14583546C22semidirect
114. #14583545C22semidirect
115. #14583545C22semidirect
116. #14583544C22semidirect
117. #14583544C22semidirect
118. #14583541C22semidirect
119. #14583538C22semidirect
120. #14583537C22semidirect
121. #14583537C22semidirect
122. #14583537C22semidirect
123. #14583533C22semidirect
124. #14583533C22semidirect
125. #14583530C22semidirect
126. #14583529C22semidirect
127. #14583524C22semidirect
128. #14583523C22semidirect
129. #14583523C22semidirect
130. #14583523C22semidirect
131. #14583522C22semidirect
132. #14583522C22semidirect
133. #14583520C22semidirect
134. #14583517C22semidirect
135. #14583516C22semidirect
136. #14583515C22semidirect
137. #14583515C22semidirect
138. #14583512C22semidirect
139. #14583512C22semidirect
140. #14583510C22semidirect
141. #14583508C22semidirect
142. #14583506C22semidirect
143. #14583502C22semidirect
144. #14583502C22semidirect
145. #14583501C22semidirect
146. #14583499C22semidirect
147. #14583498C22semidirect
149. #14583495C22semidirect
150. #14583495C22semidirect
151. #14583495C22semidirect
152. #14583495C22semidirect
153. #14583493C22semidirect
154. #14583493C22semidirect
155. #14583493C22semidirect
156. #14583490C22semidirect
157. #14583489C22semidirect
158. #14583488C22semidirect
159. #14583486C22semidirect
160. #14583486C22semidirect
161. #14583486C22semidirect
162. #14583486C22semidirect
163. #14583485C22semidirect
164. #14583485C22semidirect
165. #14583485C22semidirect
166. #14583482C22semidirect
167. #14583475C22semidirect
168. #14583472C22semidirect
169. #14583462C22semidirect
171. #14583457C22semidirect
172. #14583456C22semidirect
173. #14583454C22semidirect
174. #14583454C22semidirect
175. #14583454C22semidirect
176. #14583447C22semidirect
177. #14583447C22semidirect
179. #14583436C22semidirect
181. #14583435C22semidirect
182. #14583434C22semidirect
183. #14583434C22semidirect
184. #14583434C22semidirect
185. #14583434C22semidirect
186. #14583434C22semidirect
187. #14583434C22semidirect
188. #14583434C22semidirect
189. #14583434C22semidirect
190. #14583434C22semidirect
191. #14583434C22semidirect
193. #14583432C22semidirect
194. #14583431C22semidirect
195. #14583431C22semidirect
196. #14583431C22semidirect
197. #14583431C22semidirect
198. #14583430C22semidirect
199. #14583430C22semidirect
200. #14583430C22semidirect
201. #14583430C22semidirect
202. #14583429C22semidirect
203. #14583429C22semidirect
204. #14583429C22semidirect
205. #14583428C22semidirect
206. #14583428C22semidirect
207. #14583428C22semidirect
208. #14583427C22semidirect
209. #14583426C22semidirect
210. #14583426C22semidirect
211. C2×#13063320C22semidirect
212. C2×#13063320C22semidirect
213. #126×D43C22semidirect
214. #125×D43C22semidirect
215. C2×#13063313C22semidirect
216. #124×D43C22semidirect
218. #14583409C22semidirect
219. #14583409C22semidirect
220. #14583409C22semidirect
221. #14583406C22semidirect
222. #14583406C22semidirect
223. C2×#13063310C22semidirect
224. #123×D43C22semidirect
225. #123×D43C22semidirect
226. C2×#13063305C22semidirect
227. C2×#13063305C22semidirect
228. C22⋊Q8×D43C22semidirect
231. #121×D43C22semidirect
232. #14583382C22semidirect
233. #14583380C22semidirect
234. #14583380C22semidirect
235. #14583378C22semidirect
236. #14583376C22semidirect
237. #14583371C22semidirect
238. #14583371C22semidirect
239. #14583371C22semidirect
240. #41×Dic43C22semidirect
241. C4×#10621900C22semidirect
242. C4×#10621900C22semidirect
243. C2×#13063290C22semidirect
244. C4×Q8×D43C22semidirect
245. C2×#13063287C22semidirect
246. C2×#13063287C22semidirect
247. C4×D4×D43C22semidirect
248. C4×D4×D43C22semidirect
249. C2×#13063283C22semidirect
250. #117×D43C22semidirect
251. C2×C42×D43C22semidirect
252. C43×#563C22semidirect
253. C43×#562C22semidirect
254. C43×#554C22semidirect
255. C43×#553C22semidirect
256. C43×#553C22semidirect
257. C43×#547C22semidirect
258. C43×#547C22semidirect
259. C43×#544C22semidirect
260. C43×#540C22semidirect
261. C43×#539C22semidirect
262. C43×#539C22semidirect
263. C43×#537C22semidirect
264. C43×#532C22semidirect
265. C43×#529C22semidirect
266. C2×#125×C43C22semidirect
1171. #3559D43semidirect
1209. #563C2×D43semidirect
1214. #562C2×D43semidirect
1238. #554C2×D43semidirect
1251. #553C2×D43semidirect
1252. #553C2×D43semidirect
1290. #547C2×D43semidirect
1291. #547C2×D43semidirect
1307. #544C2×D43semidirect
1328. #540C2×D43semidirect
1339. #539C2×D43semidirect
1340. #539C2×D43semidirect
1351. #537C2×D43semidirect
1364. #532C2×D43semidirect
1397. #529C2×D43semidirect
1402. C2×#125C2×D43semidirect
1440. C43#62828semidirect

Maximal subgroups

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

subgroupindex
#191492922
#191492822
#191492542
#191492362
#191492012
#191491852
#191491652
#191491182
#191490462
#191489452
#191488012
#191487742
#191487032
#191486662
#191486642
#191486532
#191486352
#191486202
#191485792
#191485302
#191484582
#191484242
#191483502
#191483222
#191483142
#191482892
#191478902
C2×#145834342
#529×D432
C43×#35592
#6282843