Finite Group Databasebeta

← #26005293

Subgroups — #26005293

Order 11008.

6538 conjugacy classes of subgroups.

The subgroup lattice has 2556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149217C214yesmaximal, complemented
2#19149210C214yesmaximal, complemented
3#19149200C212yesmaximal, complemented
4#19149197C212yesmaximal, complemented
5#19149166C212yesmaximal, complemented
6#19149156C212yesmaximal, complemented
7#19149045C214yesmaximal, complemented
8#19149040C211yesmaximal, characteristic, complemented
9#19149036C211yesmaximal, characteristic, complemented
10#19149032C211yesmaximal, characteristic, complemented
11#19148692C211yesmaximal, characteristic, complemented
12#19148690C211yesmaximal, characteristic, complemented
13#19148688C211yesmaximal, characteristic, complemented
14#19148686C211yesmaximal, characteristic, complemented
15#19148647C211yesmaximal, characteristic, complemented
16#19148645C211yesmaximal, characteristic, complemented
17#19148643C211yesmaximal, characteristic, complemented
18#19148635C211yesmaximal, characteristic, complemented
19#19148589C212yesmaximal, complemented
20#19148585C212yesmaximal, complemented
21#19148579C212yesmaximal, complemented
22#19148577C212yesmaximal, complemented
23#19148431C212yesmaximal, complemented
24#19148424C212yesmaximal, complemented
25#19148392C212yesmaximal, complemented
26#19148390C212yesmaximal, complemented
27#19148350C212yesmaximal, complemented
28#19148345C212yesmaximal, complemented
29#19148344C212yesmaximal, complemented
30#19148339C212yesmaximal, complemented
31#19148289C214yesmaximal, complemented
32C2×#14583454C211yesmaximal, characteristic, complemented
33#529×D43C211yesmaximal, characteristic, complemented
34#529×D43C211yesmaximal, characteristic, complemented
35C43×#3552C211yesmaximal, characteristic, complemented
36C43⋊#564C2214yescomplemented
37#14583651C2214yescomplemented
38#14583651C2214yescomplemented
39#14583651C2214yescomplemented
40#14583650C2214yescomplemented
41#14583648C2214yescomplemented
42#14583646C2214yescomplemented
43#14583628C2212yescomplemented
44#14583628C2211yescharacteristic, complemented
45#14583627C2211yescharacteristic, complemented
46#14583626C2212yescomplemented
47#14583625C2212yescomplemented
48#14583624C2212yescomplemented
49#14583624C2211yescharacteristic, complemented
50#14583623C2214yescomplemented
51#14583623C2212yescomplemented
52#14583623C2211yescharacteristic, complemented
53#14583622C2211yescharacteristic, complemented
54#14583621C2212yescomplemented
55#14583620C2214yescomplemented
56#14583619C2212yescomplemented
57#14583619C2211yescharacteristic, complemented
58#14583618C2214yescomplemented
59#14583618C2212yescomplemented
60#14583616C2214yescomplemented
61#14583610C2214yescomplemented
62#14583610C2212yescomplemented
63#14583609C2212yescomplemented
64#14583608C2214yescomplemented
65#14583607C2212yescomplemented
66#14583607C2214yescomplemented
67#14583607C2214yescomplemented
68#14583607C2212yescomplemented
69#14583606C2212yescomplemented
70#14583606C2214yescomplemented
71#14583605C2214yescomplemented
72#14583604C2212yescomplemented
73#14583604C2212yescomplemented
74#14583603C2214yescomplemented
75#14583603C2214yescomplemented
76#14583601C2214yescomplemented
77#14583601C2212yescomplemented
78#14583598C2214yescomplemented
79#14583597C2212yescomplemented
80#14583595C2214yescomplemented
81#14583595C2212yescomplemented
82#14583592C2214yescomplemented
83#14583591C2214yescomplemented
84#14583591C2212yescomplemented
85#14583591C2214yescomplemented
86#14583590C2212yescomplemented
87#14583588C2212yescomplemented
88#14583588C2212yescomplemented
89#14583587C2214yescomplemented
90#14583587C2214yescomplemented
91#14583587C2214yescomplemented
92#14583587C2212yescomplemented
93#14583586C2214yescomplemented
94#14583586C2214yescomplemented
95#14583585C2214yescomplemented
96#14583585C2214yescomplemented
97#14583585C2214yescomplemented
98#14583584C2212yescomplemented
99#14583583C2214yescomplemented
100#14583583C2214yescomplemented
101#14583583C2214yescomplemented
102#14583583C2212yescomplemented
103#14583583C2212yescomplemented
104#14583581C2214yescomplemented
105#14583581C2214yescomplemented
106#14583581C2214yescomplemented
107#14583579C2214yescomplemented
108#14583577C2214yescomplemented
109#14583577C2214yescomplemented
110#14583576C2214yescomplemented
111#14583576C2214yescomplemented
112#14583576C2214yescomplemented
113#14583574C2214yescomplemented
114#14583574C2214yescomplemented
115#14583574C2214yescomplemented
116#14583572C2214yescomplemented
117#14583572C2214yescomplemented
118#14583572C2214yescomplemented
119Q8×D172C2211yescharacteristic, complemented
120Q8×D172C2212yescomplemented
121D4×Dic86C2212yescomplemented
122D4×Dic86C2211yescharacteristic, complemented
123#14583564C2212yescomplemented
124#14583564C2211yescharacteristic, complemented
125Q8×C22⋊D43C2212yescomplemented
126Q8×C22⋊D43C2212yescomplemented
127#14583562C2212yescomplemented
128#14583562C2212yescomplemented
129#14583560C2212yescomplemented
130#14583560C2212yescomplemented
131#14583559C2212yescomplemented
132#14583558C2212yescomplemented
133#14583556C2212yescomplemented
134#14583555C2212yescomplemented
135#14583555C2212yescomplemented
136#14583554C2211yescharacteristic, complemented
137#14583553C2211yescharacteristic, complemented
138#14583552C2211yescharacteristic, complemented
139#14583546C2212yescomplemented
140#14583544C2212yescomplemented
141#14583542C2212yescomplemented
142#14583537C2212yescomplemented
143#14583529C2212yescomplemented
144#14583529C2214yescomplemented
145#14583527C2212yescomplemented
146#14583526C2212yescomplemented
147#14583526C2214yescomplemented
148#14583524C2214yes—
149#14583524C2214yescomplemented
150#14583524C2214yescomplemented
151#14583523C2212yescomplemented
152#14583523C2212yescomplemented
153#14583522C2212yescomplemented
154#14583522C2214yescomplemented
155#14583520C2212yescomplemented
156#14583519C2214yescomplemented
157#14583518C2212yescomplemented
158#14583518C2214yescomplemented
159#14583518C2212yescomplemented
160#14583517C2214yescomplemented
161#14583516C2212yescomplemented
162#14583512C2212yescomplemented
163#14583512C2212yescomplemented
164#14583512C2214yescomplemented
165#14583511C2212yescomplemented
166#14583510C2212yescomplemented
167#14583510C2214yescomplemented
168#14583510C2212yescomplemented
169#14583509C2212yescomplemented
170#14583509C2214yescomplemented
171#14583509C2212yescomplemented
172#14583509C2214yescomplemented
173#14583508C2214yescomplemented
174#14583508C2214yescomplemented
175#14583506C2214yescomplemented
176#14583506C2214yescomplemented
177#14583498C2214yescomplemented
178#14583496C2214yescomplemented
179#14583495C2214yes—
180#14583493C2214yescomplemented
181#14583493C2214yescomplemented
182#14583493C2214yescomplemented
183#14583492C2214yescomplemented
184#14583490C2214yes—
185#14583490C2214yescomplemented
186#14583485C2214yes—
187#14583483C2214yes—
188#14583475C2212yescomplemented
189#14583474C2212yescomplemented
190#14583469C2212yescomplemented
191#14583457C2214yes—
192#14583454C2212yescomplemented
193#14583454C2212yescomplemented
194#14583454C2212yescomplemented
195#14583454C2212yescomplemented
196#14583454C2211yescharacteristic, complemented
197#14583454C2211yescharacteristic, complemented
198#14583454C2212yescomplemented
199#14583454C2211yescharacteristic, complemented
200#14583454C2211yescharacteristic, complemented
201#14583454C2212yescomplemented
202#14583454C2212yescomplemented
203#14583454C2212yescomplemented
204#14583453C2212yescomplemented
205#14583453C2212yescomplemented
206C2×#13063325C2211yescharacteristic, complemented
207#14583436C2212yes—
208#14583436C2211yescharacteristic
209#14583436C2211yescharacteristic
210#14583435C2214yescomplemented
211#14583435C2211yescharacteristic, complemented
212#14583435C2211yescharacteristic, complemented
213#14583434C2211yescharacteristic
214#14583434C2211yescharacteristic
215#14583434C2212yes—
216#14583433C2211yescharacteristic, complemented
217#14583433C2211yescharacteristic, complemented
218#14583432C2212yes—
219#14583432C2212yes—
220#14583431C2212yes—
221#14583431C2211yescharacteristic
222#14583431C2211yescharacteristic
223#14583430C2214yescomplemented
224#14583430C2211yescharacteristic, complemented
225#14583430C2211yescharacteristic, complemented
226#14583429C2214yescomplemented
227#14583429C2214yescomplemented
228#14583429C2212yescomplemented
229#14583429C2212yescomplemented
230#14583428C2211yescharacteristic
231#14583428C2212yes—
232#14583428C2211yescharacteristic
233#14583427C2212yes—
234#14583427C2212yes—
235#14583426C2212yescomplemented
236#14583426C2212yescomplemented
237#126×D43C2212yescomplemented
238#126×D43C2212yescomplemented
239C2×#13063316C2212yescomplemented
240#125×D43C2211yescharacteristic, complemented
241#125×D43C2211yescharacteristic, complemented
242#124×D43C2211yescharacteristic, complemented
243#124×D43C2211yescharacteristic, complemented
244#14583412C2212yes—
245#14583411C2212yes—
246#14583409C2212yes—
247#14583406C2212yes—
248#123×D43C2212yes—
249#123×D43C2212yes—
250C2×#13063305C2212yes—
251C2×#13063305C2212yescomplemented
252C2×#13063301C2212yes—
253C2×#13063301C2212yescomplemented
254C22⋊Q8×D43C2211yescharacteristic
255C22⋊Q8×D43C2211yescharacteristic
256C22⋊Q8×D43C2212yescomplemented
257C22⋊Q8×D43C2212yescomplemented
258#121×D43C2211yescharacteristic
259#121×D43C2211yescharacteristic
260#14583382C2212yescomplemented
261#14583381C2212yescomplemented
262#14583380C2212yescomplemented
263#14583378C2212yescomplemented
264#14583377C2212yescomplemented
265#14583376C2212yescomplemented
266#14583375C2212yescomplemented
267#14583375C2212yescomplemented
268#14583371C2214yes—
269#14583371C2214yes—
270C2×Q8×Dic43C2212yescomplemented
271C2×#13063290C2212yescomplemented
272C4×Q8×D43C2211yescharacteristic, complemented
273C4×Q8×D43C2211yescharacteristic, complemented
274C4×D4×D43C2212yes—
275C4×D4×D43C2212yes—
276C4×D4×D43C2211yescharacteristic, complemented
277C4×D4×D43C2211yescharacteristic, complemented
278C2×#13063283C2212yes—
279#117×D43C2212yescomplemented
280#117×D43C2212yescomplemented
281C2×C42×D43C2211yescharacteristic
282C43×#563C2214yescomplemented
283C43×#557C2211yescharacteristic, complemented
284C43×#556C2211yescharacteristic, complemented
285C43×#554C2212yescomplemented
286C43×#553C2212yescomplemented
287D4×Q8×C43C2212yescomplemented
288D4×Q8×C43C2211yescharacteristic, complemented
289C43×#548C2212yescomplemented
290C43×#547C2211yescharacteristic, complemented
291C43×#544C2212yescomplemented
292C43×#542C2212yescomplemented
293C43×#541C2212yescomplemented
294C43×#539C2214yescomplemented
295C43×#536C2212yescomplemented
296C2×C4⋊Q8×C43C2211yescharacteristic, complemented
297C43×#529C2211yescharacteristic, complemented
298C43×#529C2211yescharacteristic, complemented
299C2×#10621902C2312yes—
300C2×#10621898C2312yes—
301C2×#10621900C2312yes—
302C22×Dic86C2312yes—
303C22×Dic86C2312yes—
304C2×Q8×D43C2312yes—
305C2×Q8×D43C2312yes—
306C2×Q8×D43C2311yescharacteristic
307C2×Q8×D43C2311yescharacteristic
308C2×D4×D43C2312yes—
309C2×D4×D43C2312yes—
310C2×D4×D43C2311yescharacteristic
311C2×D4×D43C2311yescharacteristic
312C22×C4×D43C2311yescharacteristic
313C22×C4×D43C2311yescharacteristic
314C22×C4×D43C2311yescharacteristic
315C22×C4×D43C2312yes—
316C22×C4×D43C2312yes—
317#13063325C2311yescharacteristic
318#13063325C2311yescharacteristic
319#13063325C2312yes—
320#13063325C2312yes—
321#13063325C2314yes—
322#13063325C2312yes—
323#13063325C2312yes—
324#13063325C2312yes—
325#13063324C2314yes—
326#13063324C2314yes—
327#13063324C2312yes—
328#13063324C2314yes—
329#13063324C2314yes—
330#13063324C2312yes—
331#13063323C2312yes—
332#13063323C2312yes—
333#13063323C2314yes—
334#13063323C2314yes—
335#13063320C2314yes—
336#13063320C2314yes—
337#13063320C2314yes—
338#13063320C2314yes—
339#13063320C2314yes—
340#13063320C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063320C2314yes—
344#13063320C2314yes—
345#13063320C2314yes—
346#13063320C2314yes—
347#13063320C2312yes—
348#13063320C2314yes—
349#13063320C2312yes—
350#13063320C2312yes—
351#13063320C2312yes—
352#13063320C2312yes—
353#13063320C2312yes—
354#13063319C2314yes—
355#13063319C2312yes—
356#13063319C2312yes—
357#13063318C2314yes—
358#13063318C2314yes—
359#13063318C2314yes—
360#13063318C2314yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2312yes—
367#13063318C2314yes—
368#13063318C2312yes—
369#13063318C2314yes—
370#13063318C2312yes—
371#13063318C2312yes—
372#13063318C2312yes—
373#13063318C2312yes—
374#13063317C2314yes—
375#13063317C2314yes—
376#13063317C2312yes—
377#13063317C2311yescharacteristic
378#13063317C2311yescharacteristic
379#13063316C2311yescharacteristic
380#13063316C2314yes—
381#13063316C2314yes—
382#13063316C2314yes—
383#13063316C2312yes—
384#13063316C2311yescharacteristic
385#13063316C2314yes—
386#13063316C2314yes—
387#13063316C2314yes—
388#13063316C2314yes—
389#13063316C2314yes—
390#13063316C2311yescharacteristic
391#13063316C2312yes—
392#13063316C2311yescharacteristic
393#13063316C2314yes—
394#13063316C2314yes—
395#13063316C2314yes—
396#13063316C2312yes—
397#13063316C2312yes—
398#13063316C2312yes—
399#13063316C2312yes—
400#13063315C2314yes—
401#13063315C2314yes—
402#13063315C2314yes—
403#13063315C2314yes—
404#13063315C2314yes—
405#13063315C2314yes—
406#13063315C2314yes—
407#13063315C2314yes—
408#13063315C2314yes—
409#13063315C2314yes—
410#13063315C2314yes—
411#13063315C2314yes—
412#13063315C2314yes—
413#13063315C2314yes—
414#13063315C2312yes—
415#13063315C2312yes—
416#13063315C2312yes—
417#13063315C2312yes—
418#13063314C2311yescharacteristic
419#13063314C2311yescharacteristic
420#13063314C2314yes—
421#13063314C2314yes—
422#13063314C2312yes—
423#13063313C2312yes—
424#13063313C2311yescharacteristic
425#13063313C2311yescharacteristic
426#13063312C2311yescharacteristic
427#13063312C2312yes—
428#13063312C2311yescharacteristic
429#13063312C2314yes—
430#13063311C2314yes—
431#13063311C2314yes—
432#13063311C2314yes—
433#13063311C2314yes—
434#13063311C2312yes—
435#13063311C2312yes—
436#13063311C2312yes—
437#13063311C2312yes—
438#13063310C2314yes—
439#13063310C2312yes—
440#13063310C2312yes—
441#13063310C2314yes—
442#13063310C2314yes—
443#13063310C2314yes—
444#13063310C2312yes—
445#13063310C2312yes—
446#13063310C2314yes—
447#13063310C2314yes—
448#13063309C2314yes—
449#13063309C2314yes—
450#13063309C2314yes—
451#13063309C2314yes—
452#13063309C2314yes—
453#13063309C2312yes—
454#13063309C2312yes—
455#13063308C2314yes—
456#13063308C2312yes—
457#13063308C2312yes—
458#13063307C2314yes—
459#13063307C2312yes—
460#13063307C2312yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2312yes—
465#13063307C2312yes—
466#13063307C2314yes—
467#13063307C2314yes—
468#13063307C2314yes—
469#13063307C2314yes—
470#13063306C2314yes—
471#13063306C2312yes—
472#13063306C2312yes—
473#13063305C2312yes—
474#13063305C2312yes—
475#13063305C2312yes—
476#13063305C2312yes—
477#13063305C2314yes—
478#13063305C2314yes—
479#13063305C2312yes—
480#13063305C2314yes—
481#13063305C2314yes—
482#13063305C2314yes—
483#13063305C2314yes—
484#13063305C2314yes—
485#13063305C2314yes—
486#13063305C2311yescharacteristic
487#13063305C2311yescharacteristic
488#13063305C2312yes—
489#13063305C2312yes—
490#13063305C2314yes—
491#13063304C2312yes—
492#13063304C2312yes—
493#13063304C2314yes—
494#13063304C2312yes—
495#13063304C2311yescharacteristic
496#13063304C2314yes—
497#13063304C2314yes—
498#13063304C2311yescharacteristic
499#13063303C2314yes—
500#13063303C2314yes—
501#13063303C2314yes—
502#13063303C2314yes—
503#13063303C2314yes—
504#13063303C2314yes—
505#13063303C2314yes—
506#13063303C2314yes—
507#13063303C2314yes—
508#13063303C2314yes—
509#13063303C2314yes—
510#13063303C2312yes—
511#13063303C2312yes—
512#13063302C2314yes—
513#13063302C2314yes—
514#13063302C2314yes—
515#13063302C2314yes—
516#13063302C2314yes—
517#13063302C2314yes—
518#13063302C2314yes—
519#13063302C2314yes—
520#13063302C2314yes—
521#13063302C2314yes—
522#13063302C2312yes—
523#13063302C2314yes—
524#13063302C2312yes—
525#13063301C2312yes—
526#13063301C2312yes—
527#13063301C2312yes—
528#13063301C2314yes—
529#13063301C2314yes—
530#13063301C2314yes—
531#13063301C2312yes—
532#13063301C2314yes—
533#13063301C2312yes—
534#13063301C2314yes—
535#13063301C2314yes—
536#13063301C2314yes—
537#13063301C2311yescharacteristic
538#13063301C2311yescharacteristic
539#13063301C2312yes—
540#13063301C2312yes—
541#13063301C2314yes—
542#13063300C2312yes—
543#13063300C2311yescharacteristic
544#13063300C2311yescharacteristic
545#13063299C2312yes—
546#13063299C2311yescharacteristic
547#13063299C2311yescharacteristic
548#13063299C2314yes—
549#13063299C2314yes—
550#13063298C2314yes—
551#13063298C2312yes—
552#13063298C2312yes—
553#13063297C2314yes—
554#13063297C2314yes—
555#13063297C2314yes—
556#13063297C2312yes—
557#13063297C2312yes—
558#13063296C2312yes—
559#13063296C2314yes—
560#13063296C2311yescharacteristic
561#13063296C2311yescharacteristic
562#13063295C2314yes—
563#13063295C2314yes—
564#13063293C2314yes—
565#13063293C2314yes—
566Q8×Dic43C2312yes—
567Q8×Dic43C2312yes—
568Q8×Dic43C2312yes—
569Q8×Dic43C2312yes—
570Q8×Dic43C2312yes—
571Q8×Dic43C2314yes—
572Q8×Dic43C2314yes—
573Q8×Dic43C2314yes—
574Q8×Dic43C2311yescharacteristic
575Q8×Dic43C2311yescharacteristic
576Q8×Dic43C2312yes—
577Q8×Dic43C2312yes—
578Q8×Dic43C2314yes—
579C4×Dic86C2312yes—
580C4×Dic86C2312yes—
581C4×Dic86C2311yescharacteristic
582C4×Dic86C2312yes—
583C4×Dic86C2311yescharacteristic
584C4×Dic86C2314yes—
585C4×Dic86C2314yes—
586C4×Dic86C2314yes—
587C4×Dic86C2314yes—
588C4×Dic86C2312yes—
589C4×Dic86C2312yes—
590#13063290C2312yes—
591#13063290C2312yes—
592#13063290C2312yes—
593#13063290C2312yes—
594#13063290C2312yes—
595#13063290C2314yes—
596#13063290C2314yes—
597#13063290C2314yes—
598#13063290C2311yescharacteristic
599#13063290C2311yescharacteristic
600#13063290C2312yes—
601#13063290C2312yes—
602#13063290C2312yes—
603#13063290C2312yes—
604#13063290C2314yes—
605C4×D172C2311yescharacteristic
606C4×D172C2311yescharacteristic
607C4×D172C2312yes—
608C4×D172C2314yes—
609C4×D172C2312yes—
610C4×D172C2312yes—
611C4×D172C2314yes—
612C4×D172C2314yes—
613D4×Dic43C2314yes—
614D4×Dic43C2314yes—
615D4×Dic43C2314yes—
616D4×Dic43C2312yes—
617D4×Dic43C2314yes—
618D4×Dic43C2312yes—
619D4×Dic43C2312yes—
620D4×Dic43C2311yescharacteristic
621D4×Dic43C2311yescharacteristic
622#13063287C2314yes—
623#13063287C2314yes—
624#13063287C2312yes—
625#13063287C2312yes—
626#13063287C2312yes—
627#13063287C2314yes—
628#13063287C2311yescharacteristic
629#13063287C2311yescharacteristic
630C4×C22⋊D43C2312yes—
631C4×C22⋊D43C2312yes—
632C4×C22⋊D43C2312yes—
633C4×C22⋊D43C2314yes—
634C4×C22⋊D43C2312yes—
635C4×C22⋊D43C2314yes—
636C4×C22⋊D43C2314yes—
637C4×C22⋊D43C2312yes—
638C4×C22⋊D43C2314yes—
639C4×C22⋊D43C2312yes—
640C4×C22⋊D43C2314yes—
641C4×C22⋊D43C2314yes—
642C4×C22⋊D43C2314yes—
643(C22⋊D43)⋊C4C2314yes—
644(C22⋊D43)⋊C4C2314yes—
645(C22⋊D43)⋊C4C2314yes—
646(C22⋊D43)⋊C4C2312yes—
647(C22⋊D43)⋊C4C2314yes—
648(C22⋊D43)⋊C4C2312yes—
649(C22⋊D43)⋊C4C2314yes—
650(C22⋊D43)⋊C4C2312yes—
651(C22⋊D43)⋊C4C2312yes—
652(C22⋊D43)⋊C4C2312yes—
653(C22⋊D43)⋊C4C2312yes—
654#13063284C2314yes—
655#13063284C2314yes—
656#13063284C2314yes—
657#13063284C2312yes—
658#13063284C2312yes—
659#13063284C2312yes—
660#13063283C2312yes—
661#13063283C2314yes—
662#13063283C2314yes—
663#13063283C2312yes—
664#13063283C2314yes—
665#13063283C2312yes—
666#13063283C2314yes—
667#13063283C2314yes—
668#13063283C2312yes—
669#13063283C2314yes—
670#13063283C2314yes—
671#13063283C2312yes—
672#13063283C2312yes—
673#13063283C2312yes—
674#13063283C2312yes—
675#13063283C2312yes—
676#13063283C2312yes—
677#13063282C2314yes—
678#13063282C2314yes—
679#13063282C2314yes—
680#13063282C2314yes—
681#13063282C2314yes—
682#13063282C2312yes—
683#13063282C2312yes—
684#13063282C2312yes—
685#13063282C2312yes—
686#13063281C2314yes—
687#13063281C2314yes—
688#13063281C2314yes—
689#13063281C2312yes—
690#13063281C2312yes—
691#13063281C2312yes—
692#13063281C2312yes—
693C2×C4⋊Dic43C2312yes—
694C2×C4⋊Dic43C2314yes—
695C2×C4⋊Dic43C2312yes—
696C2×C4⋊Dic43C2314yes—
697C2×C4⋊Dic43C2312yes—
698C2×Dic43⋊C4C2314yes—
699C2×Dic43⋊C4C2314yes—
700C4⋊C4×D43C2312yes—
701C4⋊C4×D43C2312yes—
702C4⋊C4×D43C2312yes—
703C4⋊C4×D43C2312yes—
704C4⋊C4×D43C2314yes—
705C4⋊C4×D43C2311yescharacteristic
706C4⋊C4×D43C2314yes—
707C4⋊C4×D43C2312yes—
708C4⋊C4×D43C2312yes—
709C4⋊C4×D43C2311yescharacteristic
710C4⋊C4×D43C2312yes—
711C4⋊C4×D43C2311yescharacteristic
712C4⋊C4×D43C2312yes—
713C4⋊C4×D43C2311yescharacteristic
714C4⋊C4×D43C2312yes—
715C4⋊C4×D43C2312yes—
716C2×(C2×D43)⋊C4C2314yes—
717C2×(C2×D43)⋊C4C2314yes—
718C2×(C2×D43)⋊C4C2314yes—
719C22⋊C4×D43C2312yes—
720C22⋊C4×D43C2312yes—
721C22⋊C4×D43C2312yes—
722C22⋊C4×D43C2314yes—
723C22⋊C4×D43C2314yes—
724C22⋊C4×D43C2312yes—
725C22⋊C4×D43C2312yes—
726C22⋊C4×D43C2312yes—
727C22⋊C4×D43C2312yes—
728C22⋊C4×D43C2312yes—
729C22⋊C4×D43C2312yes—
730C22⋊C4×D43C2312yes—
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2311yescharacteristic
734C2×C4×Dic43C2314yes—
735C42×D43C2311yescharacteristic
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2311yescharacteristic
742C42×D43C2311yescharacteristic
743C42×D43C2312yes—
744C42×D43C2312yes—
745C2×#41×C43C2312yes—
746C22×Q8×C43C2312yes—
747C22×Q8×C43C2312yes—
748C4⋊Q8×C43C2311yescharacteristic
749C4⋊Q8×C43C2311yescharacteristic
750C4⋊Q8×C43C2312yes—
751C4⋊Q8×C43C2312yes—
752C4⋊Q8×C43C2312yes—
753C4⋊Q8×C43C2312yes—
754C4⋊Q8×C43C2312yes—
755C4⋊Q8×C43C2314yes—
756#126×C43C2314yes—
757#126×C43C2314yes—
758#126×C43C2314yes—
759#126×C43C2312yes—
760#126×C43C2312yes—
761#125×C43C2314yes—
762#125×C43C2314yes—
763#125×C43C2314yes—
764#125×C43C2311yescharacteristic
765#125×C43C2311yescharacteristic
766#125×C43C2312yes—
767#124×C43C2314yes—
768#124×C43C2311yescharacteristic
769#124×C43C2311yescharacteristic
770#124×C43C2312yes—
771#123×C43C2314yes—
772#123×C43C2314yes—
773#123×C43C2314yes—
774#123×C43C2312yes—
775#123×C43C2312yes—
776C22⋊Q8×C43C2312yes—
777C22⋊Q8×C43C2311yescharacteristic
778C22⋊Q8×C43C2314yes—
779C22⋊Q8×C43C2314yes—
780C22⋊Q8×C43C2314yes—
781C22⋊Q8×C43C2312yes—
782C22⋊Q8×C43C2312yes—
783C22⋊Q8×C43C2314yes—
784C22⋊Q8×C43C2311yescharacteristic
785C22⋊Q8×C43C2314yes—
786C22⋊Q8×C43C2314yes—
787#121×C43C2311yescharacteristic
788#121×C43C2312yes—
789#121×C43C2311yescharacteristic
790#121×C43C2314yes—
791C4×Q8×C43C2311yescharacteristic
792C4×Q8×C43C2312yes—
793C4×Q8×C43C2311yescharacteristic
794C4×Q8×C43C2312yes—
795C4×Q8×C43C2312yes—
796C4×D4×C43C2311yescharacteristic
797C4×D4×C43C2311yescharacteristic
798C4×D4×C43C2312yes—
799C4×D4×C43C2312yes—
800C4×D4×C43C2314yes—
801C4×D4×C43C2314yes—
802C4×D4×C43C2312yes—
803#117×C43C2312yes—
804#117×C43C2312yes—
805#117×C43C2312yes—
806C2×C4⋊C4×C43C2312yes—
807C2×C4⋊C4×C43C2312yes—
808C2×C4⋊C4×C43C2312yes—
809C2×C42×C43C2311yescharacteristic
810C23×D43C2412yes—
811C23×D43C2412yes—
812C23×D43C2411yescharacteristic
813#41×C43—44no—
814C2×Q8×C43—44no—
815C2×Q8×C43—44no—
816C2×Q8×C43C2411yescharacteristic
817C2×Q8×C43C2411yescharacteristic
818C2×Q8×C43C2412yes—
819C2×Q8×C43C2412yes—
820C2×Q8×C43C2414yes—
821C2×Q8×C43C2414yes—
822C2×D4×C43C2412yes—
823C2×D4×C43C2412yes—
824C2×D4×C43C2411yescharacteristic
825C2×D4×C43C2411yescharacteristic
826C2×D4×C43C2414yes—
827C22×C4×C43C2411yescharacteristic
828C22×C4×C43C2411yescharacteristic
829C22×C4×C43C2411yescharacteristic
830C22×C4×C43C2412yes—
831C22×C4×C43C2412yes—
832C22×C4×C43C2414yes—
833C22×C4×C43C2414yes—
834C22×C4×C43C2414yes—
835C2×C22⋊D43C2412yes—
836C2×C22⋊D43C2412yes—
837C2×C22⋊D43C2412yes—
838C2×C22⋊D43C2412yes—
839C2×C22⋊D43C2414yes—
840C2×C22⋊D43C2412yes—
841C2×C22⋊D43C2412yes—
842C2×C22⋊D43C2414yes—
843C22×Dic43C2411yescharacteristic
844C22×Dic43C2411yescharacteristic
845C22×Dic43C2411yescharacteristic
846C22×Dic43C2414yes—
847C22×Dic43C2414yes—
848C22×Dic43C2414yes—
849C22×Dic43C2412yes—
850C22×Dic43C2412yes—
851#10621902—44no—
852Q8×D43—42no—
853Q8×D43—44no—
854Q8×D43—42no—
855Q8×D43—44no—
856#10621900—44no—
857D4×D43—28no—
858D4×D43—28no—
859D4×D43—42no—
860D4×D43—42no—
861#10621898—44no—
862C2×D172C2412yes—
863C2×D172C2412yes—
864C2×D172C2411yescharacteristic
865C2×D172C2411yescharacteristic
866C2×D172C2414yes—
867C2×C4×D43—24no—
868C2×C4×D43—42no—
869C2×C4×D43—42no—
870C2×C4×D43—44no—
871C2×C4×D43—44no—
872C2×C4×D43C2411yescharacteristic
873C2×C4×D43C2411yescharacteristic
874C2×C4×D43C2411yescharacteristic
875C2×C4×D43C2411yescharacteristic
876C2×C4×D43C2411yescharacteristic
877C2×C4×D43C2411yescharacteristic
878C2×C4×D43C2411yescharacteristic
879C2×C4×D43C2411yescharacteristic
880C2×C4×D43C2412yes—
881C2×C4×D43C2412yes—
882C2×C4×D43C2412yes—
883C2×C4×D43C2412yes—
884C2×C4×D43C2411yescharacteristic
885C2×C4×D43C2411yescharacteristic
886C2×C4×D43C2411yescharacteristic
887C2×C4×D43C2411yescharacteristic
888C2×C4×D43C2412yes—
889C2×C4×D43C2412yes—
890C2×C4×D43C2412yes—
891C2×C4×D43C2412yes—
892C2×C4×D43C2414yes—
893C2×C4×D43C2414yes—
894C2×C4×D43C2414yes—
895C2×C4×D43C2414yes—
896C2×C4×D43C2412yes—
897C2×C4×D43C2412yes—
898C2×Dic86—44no—
899C2×Dic86—44no—
900C2×Dic86C2411yescharacteristic
901C2×Dic86C2412yes—
902C2×Dic86C2412yes—
903C2×Dic86C2411yescharacteristic
904C2×Dic86C2414yes—
905C2×Dic86C2414yes—
906C2×Dic86C2412yes—
907C2×Dic86C2414yes—
908C2×Dic86C2412yes—
909C2×Dic86C2414yes—
910C4⋊C4×C43C2411yescharacteristic
911C4⋊C4×C43C2412yes—
912C4⋊C4×C43C2412yes—
913C4⋊C4×C43C2414yes—
914C4⋊C4×C43C2412yes—
915C4⋊C4×C43C2414yes—
916C4⋊C4×C43C2414yes—
917C4⋊C4×C43C2412yes—
918C4⋊C4×C43C2411yescharacteristic
919C4⋊C4×C43C2412yes—
920C4⋊C4×C43C2412yes—
921C4⋊C4×C43C2412yes—
922C4⋊C4×C43C2412yes—
923C4⋊C4×C43C2411yescharacteristic
924C4⋊C4×C43C2414yes—
925C4⋊C4×C43C2412yes—
926C4⋊C4×C43C2414yes—
927C4⋊C4×C43C2412yes—
928C4⋊C4×C43C2411yescharacteristic
929C4⋊C4×C43C2414yes—
930C4⋊C4×C43C2414yes—
931C4⋊C4×C43C2414yes—
932C4⋊C4×C43C2412yes—
933C4⋊C4×C43C2412yes—
934C22⋊C4×C43C2414yes—
935C22⋊C4×C43C2412yes—
936C22⋊C4×C43C2412yes—
937C22⋊C4×C43C2412yes—
938C22⋊C4×C43C2412yes—
939C22⋊C4×C43C2412yes—
940C22⋊C4×C43C2412yes—
941C22⋊C4×C43C2414yes—
942C22⋊C4×C43C2414yes—
943C22⋊C4×C43C2412yes—
944C22⋊C4×C43C2412yes—
945C22⋊C4×C43C2414yes—
946C22⋊C4×C43C2412yes—
947C22⋊C4×C43C2412yes—
948C42×C43C2411yescharacteristic
949C42×C43C2411yescharacteristic
950C42×C43C2411yescharacteristic
951C42×C43C2411yescharacteristic
952C42×C43C2412yes—
953C42×C43C2412yes—
954C42×C43C2414yes—
955C42×C43C2414yes—
956C22⋊Dic43C2412yes—
957C22⋊Dic43C2412yes—
958C22⋊Dic43C2412yes—
959C22⋊Dic43C2412yes—
960C22⋊Dic43C2412yes—
961C22⋊Dic43C2412yes—
962C22⋊Dic43C2412yes—
963C22⋊Dic43C2412yes—
964C22⋊Dic43C2412yes—
965C22⋊Dic43C2414yes—
966C22⋊Dic43C2414yes—
967C22⋊Dic43C2412yes—
968C22⋊Dic43C2414yes—
969C22⋊Dic43C2414yes—
970(C2×D43)⋊C4C2412yes—
971(C2×D43)⋊C4C2412yes—
972(C2×D43)⋊C4C2412yes—
973(C2×D43)⋊C4C2412yes—
974(C2×D43)⋊C4C2414yes—
975(C2×D43)⋊C4C2414yes—
976(C2×D43)⋊C4C2412yes—
977(C2×D43)⋊C4C2412yes—
978(C2×D43)⋊C4C2412yes—
979(C2×D43)⋊C4C2412yes—
980(C2×D43)⋊C4C2412yes—
981(C2×D43)⋊C4C2412yes—
982(C2×D43)⋊C4C2412yes—
983(C2×D43)⋊C4C2412yes—
984(C2×D43)⋊C4C2412yes—
985(C2×D43)⋊C4C2412yes—
986(C2×D43)⋊C4C2412yes—
987(C2×D43)⋊C4C2412yes—
988(C2×D43)⋊C4C2412yes—
989(C2×D43)⋊C4C2412yes—
990(C2×D43)⋊C4C2412yes—
991(C2×D43)⋊C4C2412yes—
992(C2×D43)⋊C4C2414yes—
993(C2×D43)⋊C4C2414yes—
994(C2×D43)⋊C4C2414yes—
995(C2×D43)⋊C4C2414yes—
996(C2×D43)⋊C4C2414yes—
997(C2×D43)⋊C4C2414yes—
998(C2×D43)⋊C4C2414yes—
999(C2×D43)⋊C4C2414yes—
1000(C2×D43)⋊C4C2414yes—
1001(C2×D43)⋊C4C2414yes—
1002C4⋊Dic43C2412yes—
1003C4⋊Dic43C2411yescharacteristic
1004C4⋊Dic43C2412yes—
1005C4⋊Dic43C2411yescharacteristic
1006C4⋊Dic43C2412yes—
1007C4⋊Dic43C2414yes—
1008C4⋊Dic43C2412yes—
1009C4⋊Dic43C2411yescharacteristic
1010C4⋊Dic43C2412yes—
1011C4⋊Dic43C2412yes—
1012C4⋊Dic43C2411yescharacteristic
1013C4⋊Dic43C2412yes—
1014C4⋊Dic43C2412yes—
1015C4⋊Dic43C2412yes—
1016C4⋊Dic43C2412yes—
1017C4⋊Dic43C2414yes—
1018C4⋊Dic43C2414yes—
1019C4⋊Dic43C2412yes—
1020C4⋊Dic43C2414yes—
1021C4⋊Dic43C2412yes—
1022C4⋊Dic43C2414yes—
1023C4⋊Dic43C2414yes—
1024C4⋊Dic43C2414yes—
1025C4⋊Dic43C2414yes—
1026C4⋊Dic43C2414yes—
1027C4⋊Dic43C2414yes—
1028C4⋊Dic43C2414yes—
1029C4⋊Dic43C2414yes—
1030Dic43⋊C4C2412yes—
1031Dic43⋊C4C2414yes—
1032Dic43⋊C4C2412yes—
1033Dic43⋊C4C2414yes—
1034Dic43⋊C4C2414yes—
1035Dic43⋊C4C2412yes—
1036Dic43⋊C4C2412yes—
1037Dic43⋊C4C2412yes—
1038Dic43⋊C4C2412yes—
1039Dic43⋊C4C2412yes—
1040Dic43⋊C4C2412yes—
1041Dic43⋊C4C2412yes—
1042Dic43⋊C4C2412yes—
1043Dic43⋊C4C2412yes—
1044Dic43⋊C4C2412yes—
1045Dic43⋊C4C2412yes—
1046Dic43⋊C4C2412yes—
1047Dic43⋊C4C2412yes—
1048Dic43⋊C4C2412yes—
1049Dic43⋊C4C2414yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2414yes—
1055Dic43⋊C4C2414yes—
1056Dic43⋊C4C2414yes—
1057Dic43⋊C4C2414yes—
1058Dic43⋊C4C2414yes—
1059Dic43⋊C4C2414yes—
1060Dic43⋊C4C2414yes—
1061Dic43⋊C4C2414yes—
1062Dic43⋊C4C2414yes—
1063Dic43⋊C4C2414yes—
1064Dic43⋊C4C2414yes—
1065Dic43⋊C4C2414yes—
1066C4×Dic43C2411yescharacteristic
1067C4×Dic43C2411yescharacteristic
1068C4×Dic43C2411yescharacteristic
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2411yescharacteristic
1076C4×Dic43C2411yescharacteristic
1077C4×Dic43C2411yescharacteristic
1078C4×Dic43C2412yes—
1079C4×Dic43C2412yes—
1080C4×Dic43C2412yes—
1081C4×Dic43C2412yes—
1082C4×Dic43C2412yes—
1083C4×Dic43C2412yes—
1084C4×Dic43C2414yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2414yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2414yes—
1090C4×Dic43C2414yes—
1091C4×Dic43C2414yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2414yes—
1094C23×C43C2512yes—
1095C23×C43C2512yes—
1096C23×C43C2511yescharacteristic
1097C22×D43—24no—
1098C22×D43—24no—
1099C22×D43—41no—
1100C22×D43—41no—
1101C22×D43—42no—
1102C22×D43—42no—
1103C22×D43—42no—
1104C22×D43—42no—
1105C22×D432−1+414yes—
1106C22×D43C2512yes—
1107C22×D43C2512yes—
1108C22×D43C2511yescharacteristic
1109C22×D43C2511yescharacteristic
1110Q8×C43—22no—
1111Q8×C43—22no—
1112Q8×C43—24no—
1113Q8×C43—24no—
1114Q8×C43—44no—
1115Q8×C43—44no—
1116D4×C43—24no—
1117D4×C43—24no—
1118D4×C43—22no—
1119D4×C43—22no—
1120D4×C43—44no—
1121C2×C4×C43—22no—
1122C2×C4×C43—22no—
1123C2×C4×C43—24no—
1124C2×C4×C43—22no—
1125C2×C4×C43—24no—
1126C2×C4×C43—44no—
1127C2×C4×C43—44no—
1128C2×C4×C43—44no—
1129C2×C4×C43C2512yes—
1130C2×C4×C43C2512yes—
1131C2×C4×C43C2514yes—
1132C2×C4×C43C2512yes—
1133C2×C4×C43C2514yes—
1134C2×C4×C43C2511yescharacteristic
1135C2×C4×C43C2511yescharacteristic
1136C2×C4×C43C2511yescharacteristic
1137C2×C4×C43C2512yes—
1138C2×C4×C43C2511yescharacteristic
1139C2×C4×C43C2512yes—
1140C2×C4×C43C2512yes—
1141C2×C4×C43C2511yescharacteristic
1142C2×C4×C43C2511yescharacteristic
1143C22⋊D43—24no—
1144C22⋊D43—24no—
1145C22⋊D43—24no—
1146C22⋊D43—24no—
1147C22⋊D43—44no—
1148C22⋊D43—42no—
1149C22⋊D43—42no—
1150C22⋊D43—44no—
1151C2×Dic43—22no—
1152C2×Dic43—44no—
1153C2×Dic43—44no—
1154C2×Dic43—42no—
1155C2×Dic43—42no—
1156C2×Dic43—41no—
1157C2×Dic43—41no—
1158C2×Dic43—44no—
1159C2×Dic43C2511yescharacteristic
1160C2×Dic43C2511yescharacteristic
1161C2×Dic43C2511yescharacteristic
1162C2×Dic43C2511yescharacteristic
1163C2×Dic43C2512yes—
1164C2×Dic43C2512yes—
1165C2×Dic43C2511yescharacteristic
1166C2×Dic43C2512yes—
1167C2×Dic43C2514yes—
1168C2×Dic43C2511yescharacteristic
1169C2×Dic43C2514yes—
1170C2×Dic43C2512yes—
1171C2×Dic43C2512yes—
1172C2×Dic43C2512yes—
1173D172—24no—
1174D172—24no—
1175D172—22no—
1176D172—22no—
1177D172—44no—
1178C4×D43—22no—
1179C4×D43—22no—
1180C4×D43—22no—
1181C4×D43—22no—
1182C4×D43—24no—
1183C4×D43—24no—
1184C4×D43—22no—
1185C4×D43—22no—
1186C4×D43—22no—
1187C4×D43—22no—
1188C4×D43—24no—
1189C4×D43—24no—
1190C4×D43—42no—
1191C4×D43—42no—
1192C4×D43—41no—
1193C4×D43—41no—
1194C4×D43—41no—
1195C4×D43—42no—
1196C4×D43—42no—
1197C4×D43—41no—
1198C4×D43—44no—
1199C4×D43—44no—
1200C4×D43—42no—
1201C4×D43—42no—
1202C4×D43—44no—
1203C4×D43—44no—
1204Dic86—24no—
1205Dic86—22no—
1206Dic86—24no—
1207Dic86—22no—
1208Dic86—44no—
1209Dic86—44no—
1210Dic86—44no—
1211Dic86—42no—
1212Dic86—42no—
1213Dic86—44no—
1214#62823—431nomaximal, Sylow
1215C22×C43—21no—
1216C22×C43—21no—
1217C22×C43—22no—
1218C22×C43—22no—
1219C22×C43—22no—
1220C22×C43—22no—
1221C22×C43—22no—
1222C22×C43—22no—
1223C22×C43C2×2−1+412yes—
1224C22×C43C2611yescharacteristic
1225C2×D43—21no—
1226C2×D43—21no—
1227C2×D43—21no—
1228C2×D43—21no—
1229C2×D43—22no—
1230C2×D43—22no—
1231C2×D43—22no—
1232C2×D43—22no—
1233C2×D43—22no—
1234C2×D43—22no—
1235C2×D43—44no—
1236C2×D43—84no—
1237C2×D43—84no—
1238C2×D43C2×2−1+412yes—
1239C2×D43C2×2−1+412yes—
1240C4×C43—21no—
1241C4×C43—21no—
1242C4×C43—22no—
1243C4×C43—22no—
1244C4×C43—21no—
1245C4×C43—22no—
1246C4×C43—22no—
1247C4×C43—24no—
1248C4×C43—22no—
1249C4×C43—22no—
1250C4×C43—21no—
1251C4×C43—24no—
1252C4×C43#58512yes—
1253C4×C43#58512yes—
1254Dic43—21no—
1255Dic43—21no—
1256Dic43—22no—
1257Dic43—22no—
1258Dic43—22no—
1259Dic43—22no—
1260Dic43—24no—
1261Dic43—24no—
1262Dic43—22no—
1263Dic43—22no—
1264Dic43—21no—
1265Dic43—21no—
1266Dic43—21no—
1267Dic43—21no—
1268#3564—434no—
1269#3564—434no—
1270#3563—432no—
1271#3563—432no—
1272#3561—432no—
1273#3561—432no—
1274#3553—434no—
1275#3552—431no—
1276#3552—431no—
1277#3552—431no—
1278#3552D4311yescharacteristic, complemented
1279#3523—431no—
1280#3523—431no—
1281#3523—431no—
1282#3523—431no—
1283#3520—431no—
1284#3520—431no—
1285#3520—431no—
1286#3520—431no—
1287#3516—432no—
1288#3516—432no—
1289#3516—432no—
1290#3516—432no—
1291#3505—432no—
1292#3505—432no—
1293#3501—432no—
1294#3501—432no—
1295#3495—432no—
1296#3495—432no—
1297#3495—432no—
1298#3495—432no—
1299#3491—434no—
1300C2×#533—431no—
1301C2×#529—431no—
1302C2×#529—431no—
1303C2×C43—22no—
1304C2×C43—42no—
1305C2×C43—42no—
1306C2×C43C22×2−1+411yescharacteristic
1307C2×C43C2×#58511yescharacteristic
1308C2×C43C2×#58511yescharacteristic
1309D43—22no—
1310D43—22no—
1311D43—42no—
1312D43—42no—
1313#564—434no—
1314#563—434no—
1315#563—434no—
1316#563—434no—
1317#563—434no—
1318#563—434no—
1319#563C2×D4314yescomplemented
1320#562—434no—
1321#557—432no—
1322#557—431no—
1323#557—432no—
1324#557—432no—
1325#557—431no—
1326#557—432no—
1327#557—431no—
1328#557C2×D4311yescharacteristic, complemented
1329#556—434no—
1330#556—432no—
1331#556—431no—
1332#556—434no—
1333#556—434no—
1334#556—432no—
1335#556—434no—
1336#556—432no—
1337#556—431no—
1338#556—432no—
1339#556—431no—
1340#556C2×D4311yescharacteristic, complemented
1341#554—434no—
1342#554—432no—
1343#554—434no—
1344#554—434no—
1345#554—434no—
1346#554—434no—
1347#554—432no—
1348#554—434no—
1349#554—432no—
1350#554—432no—
1351#554—432no—
1352#554—434no—
1353#554—434no—
1354#554—432no—
1355#554—432no—
1356#554C2×D4312yescomplemented
1357#553—434no—
1358#553—432no—
1359#553—434no—
1360#553—432no—
1361#553—434no—
1362#553—434no—
1363#553—432no—
1364#553C2×D4312yescomplemented
1365#552—434no—
1366#552—434no—
1367#552—434no—
1368#552—434no—
1369#552—434no—
1370#552—434no—
1371#552—434no—
1372#552—434no—
1373#552—434no—
1374#552—432no—
1375#552—434no—
1376#552—434no—
1377#552—434no—
1378#552—434no—
1379#552—434no—
1380#552—432no—
1381#552—432no—
1382#552—434no—
1383#552—434no—
1384#552—432no—
1385#552—432no—
1386#552—432no—
1387#552—432no—
1388#552—432no—
1389#551—434no—
1390#551—434no—
1391#551—434no—
1392#551—434no—
1393#551—434no—
1394#551—434no—
1395#551—434no—
1396#551—434no—
1397#551—434no—
1398#551—434no—
1399#551—434no—
1400#551—434no—
1401D4×Q8—432no—
1402D4×Q8—432no—
1403D4×Q8—432no—
1404D4×Q8—431no—
1405D4×Q8—432no—
1406D4×Q8—432no—
1407D4×Q8—432no—
1408D4×Q8—431no—
1409D4×Q8—432no—
1410D4×Q8—431no—
1411D4×Q8C2×D4312yescomplemented
1412D4×Q8C2×D4311yescharacteristic, complemented
1413#548—432no—
1414#548—432no—
1415#548—432no—
1416#548—432no—
1417#548—432no—
1418#548—432no—
1419#548—432no—
1420#548C2×D4312yescomplemented
1421#547—431no—
1422#547—431no—
1423#547—431no—
1424#547C2×D4311yescharacteristic, complemented
1425#546—432no—
1426#546—432no—
1427#546—432no—
1428#546—432no—
1429#544—432no—
1430#544—434no—
1431#544—432no—
1432#544—434no—
1433#544—432no—
1434#544C2×D4312yescomplemented
1435#543—434no—
1436#543—434no—
1437#543—434no—
1438#542—432no—
1439#542—432no—
1440#542—432no—
1441#542—432no—
1442#542—434no—
1443#542—434no—
1444#542—432no—
1445#542—434no—
1446#542—434no—
1447#542—432no—
1448#542—432no—
1449#542C2×D4312yescomplemented
1450#541—432no—
1451#541—432no—
1452#541—434no—
1453#541—434no—
1454#541—434no—
1455#541—432no—
1456#541—432no—
1457#541—434no—
1458#541—434no—
1459#541—434no—
1460#541—432no—
1461#541—432no—
1462#541—434no—
1463#541—434no—
1464#541—432no—
1465#541C2×D4312yescomplemented
1466#539—434no—
1467#539—434no—
1468#539—434no—
1469#539—434no—
1470#539—434no—
1471#539—434no—
1472#539—434no—
1473#539—434no—
1474#539—434no—
1475#539C2×D4314yescomplemented
1476#538—434no—
1477#538—434no—
1478#536—432no—
1479#536—432no—
1480#536—432no—
1481#536C2×D4312yescomplemented
1482#534—434no—
1483#533—432no—
1484#533—432no—
1485#533—431no—
1486#533—431no—
1487#533—431no—
1488#533—431no—
1489#533—432no—
1490#533—432no—
1491#533—432no—
1492#533—432no—
1493#533—432no—
1494#533—432no—
1495#533—432no—
1496#533—432no—
1497C2×C4⋊Q8—431no—
1498C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1499#529—432no—
1500#529—432no—
1501#529—431no—
1502#529—431no—
1503#529—432no—
1504#529—431no—
1505#529—431no—
1506#529—432no—
1507#529—432no—
1508#529—432no—
1509#529—431no—
1510#529—431no—
1511#529—434no—
1512#529—431no—
1513#529—431no—
1514#529—434no—
1515#529—431no—
1516#529—431no—
1517#529—432no—
1518#529—432no—
1519#529—432no—
1520#529—431no—
1521#529—431no—
1522#529—434no—
1523#529—434no—
1524#529—432no—
1525#529—432no—
1526#529—432no—
1527#529—431no—
1528#529—431no—
1529#529C2×D4311yescharacteristic, complemented
1530#529C2×D4311yescharacteristic, complemented
1531C2×#126—432no—
1532C2×#126—432no—
1533C2×#125—431no—
1534C2×#125—431no—
1535C2×#125—432no—
1536C2×#124—431no—
1537C2×#124—431no—
1538#525—432no—
1539#525—432no—
1540#525—432no—
1541#525—432no—
1542C2×#123—432no—
1543C2×#123—432no—
1544C2×C22⋊Q8—432no—
1545C2×C22⋊Q8—432no—
1546C2×C22⋊Q8—431no—
1547C2×C22⋊Q8—431no—
1548C2×C22⋊Q8—432no—
1549C2×C22⋊Q8—432no—
1550C2×C22⋊Q8—432no—
1551C2×C22⋊Q8—432no—
1552C2×#121—431no—
1553C2×#121—431no—
1554#520—432no—
1555#520—432no—
1556#520—432no—
1557#520—432no—
1558#519—432no—
1559#519—432no—
1560#519—432no—
1561#519—432no—
1562#518—434no—
1563#518—434no—
1564C2×C4×Q8—432no—
1565C2×C4×Q8—431no—
1566C2×C4×Q8—431no—
1567C2×C4×Q8—432no—
1568C2×C4×D4—432no—
1569C2×C4×D4—432no—
1570C2×C4×D4—431no—
1571C2×C4×D4—431no—
1572C2×#117—432no—
1573C2×#117—432no—
1574C2×#117—432no—
1575C22×C42—431no—
1576C43#6282311yescharacteristic, complemented, Sylow
1577C2×#41—432no—
1578C2×#41—432no—
1579C2×#41—432no—
1580C2×#41C22×D4312yes—
1581C22×Q8—431no—
1582C22×Q8—431no—
1583C22×Q8—432no—
1584C22×Q8—432no—
1585C22×Q8—432no—
1586C22×Q8—432no—
1587C22×Q8C22×D4312yes—
1588C22×Q8C22×D4312yes—
1589C22×D4—432no—
1590C22×D4—432no—
1591C22×D4—431no—
1592C22×D4—431no—
1593C23×C4—431no—
1594C23×C4—432no—
1595C23×C4—432no—
1596C23×C4—431no—
1597C23×C4—431no—
1598C4⋊Q8—432no—
1599C4⋊Q8—432no—
1600C4⋊Q8—434no—
1601C4⋊Q8—434no—
1602C4⋊Q8—432no—
1603C4⋊Q8—432no—
1604C4⋊Q8—434no—
1605C4⋊Q8—434no—
1606C4⋊Q8—434no—
1607C4⋊Q8—434no—
1608C4⋊Q8—432no—
1609C4⋊Q8—432no—
1610C4⋊Q8—431no—
1611C4⋊Q8—431no—
1612C4⋊Q8—432no—
1613C4⋊Q8—432no—
1614C4⋊Q8—432no—
1615C4⋊Q8—434no—
1616C4⋊Q8C22×D4312yes—
1617C4⋊Q8C22×D4312yes—
1618C4⋊Q8C22×D4311yescharacteristic
1619C4⋊Q8C22×D4311yescharacteristic
1620C4⋊Q8C22×D4312yes—
1621C4⋊Q8C22×D4312yes—
1622C4⋊Q8C22×D4312yes—
1623C4⋊Q8C22×D4314yes—
1624#126—432no—
1625#126—432no—
1626#126—432no—
1627#126—432no—
1628#126—432no—
1629#126—432no—
1630#126—434no—
1631#126—434no—
1632#126—434no—
1633#126—434no—
1634#126—434no—
1635#126—434no—
1636#126—434no—
1637#126—434no—
1638#126—434no—
1639#126—434no—
1640#126—434no—
1641#126—434no—
1642#126—434no—
1643#126—432no—
1644#126—432no—
1645#126—432no—
1646#126—432no—
1647#126—432no—
1648#126—432no—
1649#126—434no—
1650#126—434no—
1651#126—434no—
1652#126—434no—
1653#126—434no—
1654#126—434no—
1655#126—434no—
1656#126—434no—
1657#126—434no—
1658#126—434no—
1659#126—434no—
1660#126—432no—
1661#126—432no—
1662#126—434no—
1663#126C22×D4312yes—
1664#126C22×D4312yes—
1665#126C22×D4314yes—
1666#126C22×D4314yes—
1667#126C22×D4314yes—
1668#125—432no—
1669#125—432no—
1670#125—431no—
1671#125—431no—
1672#125—431no—
1673#125—431no—
1674#125—432no—
1675#125—432no—
1676#125—432no—
1677#125—432no—
1678#125—432no—
1679#125—432no—
1680#125—434no—
1681#125—434no—
1682#125—434no—
1683#125—434no—
1684#125—434no—
1685#125—434no—
1686#125—432no—
1687#125—432no—
1688#125—434no—
1689#125—434no—
1690#125—434no—
1691#125—434no—
1692#125—434no—
1693#125—434no—
1694#125—434no—
1695#125—434no—
1696#125—434no—
1697#125—434no—
1698#125—434no—
1699#125—434no—
1700#125—434no—
1701#125—434no—
1702#125—434no—
1703#125—434no—
1704#125—434no—
1705#125—434no—
1706#125—434no—
1707#125—431no—
1708#125—431no—
1709#125—432no—
1710#125—434no—
1711#125—434no—
1712#125C22×D4311yescharacteristic
1713#125C22×D4311yescharacteristic
1714#125C22×D4312yes—
1715#125C22×D4314yes—
1716#125C22×D4314yes—
1717#125C22×D4314yes—
1718#124—431no—
1719#124—431no—
1720#124—432no—
1721#124—434no—
1722#124—434no—
1723#124—431no—
1724#124—431no—
1725#124—432no—
1726#124—434no—
1727#124—432no—
1728#124—432no—
1729#124—432no—
1730#124—432no—
1731#124—434no—
1732#124—434no—
1733#124—434no—
1734#124—434no—
1735#124—431no—
1736#124—431no—
1737#124—432no—
1738#124C22×D4311yescharacteristic
1739#124C22×D4311yescharacteristic
1740#124C22×D4312yes—
1741#124C22×D4314yes—
1742#123—432no—
1743#123—432no—
1744#123—434no—
1745#123—432no—
1746#123—432no—
1747#123—434no—
1748#123—432no—
1749#123—432no—
1750#123—432no—
1751#123—432no—
1752#123—434no—
1753#123—434no—
1754#123—434no—
1755#123—434no—
1756#123—434no—
1757#123—434no—
1758#123—432no—
1759#123—432no—
1760#123—432no—
1761#123—432no—
1762#123—432no—
1763#123—432no—
1764#123—434no—
1765#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—434no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123—434no—
1775#123—434no—
1776#123—434no—
1777#123C22×D4312yes—
1778#123C22×D4312yes—
1779#123C22×D4314yes—
1780#123C22×D4314yes—
1781#123C22×D4314yes—
1782C22⋊Q8—431no—
1783C22⋊Q8—431no—
1784C22⋊Q8—432no—
1785C22⋊Q8—432no—
1786C22⋊Q8—434no—
1787C22⋊Q8—432no—
1788C22⋊Q8—432no—
1789C22⋊Q8—434no—
1790C22⋊Q8—434no—
1791C22⋊Q8—432no—
1792C22⋊Q8—432no—
1793C22⋊Q8—434no—
1794C22⋊Q8—432no—
1795C22⋊Q8—434no—
1796C22⋊Q8—434no—
1797C22⋊Q8—434no—
1798C22⋊Q8—434no—
1799C22⋊Q8—431no—
1800C22⋊Q8—431no—
1801C22⋊Q8—432no—
1802C22⋊Q8—432no—
1803C22⋊Q8—432no—
1804C22⋊Q8—434no—
1805C22⋊Q8—434no—
1806C22⋊Q8—434no—
1807C22⋊Q8—431no—
1808C22⋊Q8—431no—
1809C22⋊Q8—432no—
1810C22⋊Q8—432no—
1811C22⋊Q8—432no—
1812C22⋊Q8—432no—
1813C22⋊Q8—434no—
1814C22⋊Q8—432no—
1815C22⋊Q8—432no—
1816C22⋊Q8—434no—
1817C22⋊Q8—434no—
1818C22⋊Q8—432no—
1819C22⋊Q8—432no—
1820C22⋊Q8—434no—
1821C22⋊Q8—434no—
1822C22⋊Q8—434no—
1823C22⋊Q8—432no—
1824C22⋊Q8—434no—
1825C22⋊Q8—434no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—434no—
1831C22⋊Q8—434no—
1832C22⋊Q8—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—434no—
1837C22⋊Q8—434no—
1838C22⋊Q8—432no—
1839C22⋊Q8—432no—
1840C22⋊Q8—434no—
1841C22⋊Q8—434no—
1842C22⋊Q8—434no—
1843C22⋊Q8—434no—
1844C22⋊Q8—434no—
1845C22⋊Q8—434no—
1846C22⋊Q8—434no—
1847C22⋊Q8—434no—
1848C22⋊Q8—434no—
1849C22⋊Q8—434no—
1850C22⋊Q8—434no—
1851C22⋊Q8C22×D4311yescharacteristic
1852C22⋊Q8C22×D4311yescharacteristic
1853C22⋊Q8C22×D4312yes—
1854C22⋊Q8C22×D4312yes—
1855C22⋊Q8C22×D4312yes—
1856C22⋊Q8C22×D4314yes—
1857C22⋊Q8C22×D4314yes—
1858C22⋊Q8C22×D4314yes—
1859C22⋊Q8C22×D4314yes—
1860C22⋊Q8C22×D4314yes—
1861C22⋊Q8C22×D4314yes—
1862#121—431no—
1863#121—431no—
1864#121—432no—
1865#121—432no—
1866#121—432no—
1867#121—434no—
1868#121—434no—
1869#121—434no—
1870#121—434no—
1871#121—431no—
1872#121—431no—
1873#121—432no—
1874#121—434no—
1875#121—434no—
1876#121—431no—
1877#121—431no—
1878#121—432no—
1879#121—432no—
1880#121—432no—
1881#121—434no—
1882#121C22×D4311yescharacteristic
1883#121C22×D4311yescharacteristic
1884#121C22×D4312yes—
1885#121C22×D4314yes—
1886#120—434no—
1887#120—434no—
1888#120—434no—
1889#120—434no—
1890C4×Q8—431no—
1891C4×Q8—431no—
1892C4×Q8—432no—
1893C4×Q8—432no—
1894C4×Q8—434no—
1895C4×Q8—432no—
1896C4×Q8—432no—
1897C4×Q8—434no—
1898C4×Q8—432no—
1899C4×Q8—434no—
1900C4×Q8—434no—
1901C4×Q8—432no—
1902C4×Q8—432no—
1903C4×Q8—431no—
1904C4×Q8—431no—
1905C4×Q8—432no—
1906C4×Q8—432no—
1907C4×Q8—432no—
1908C4×Q8—432no—
1909C4×Q8—434no—
1910C4×Q8—432no—
1911C4×Q8—432no—
1912C4×Q8—434no—
1913C4×Q8—432no—
1914C4×Q8—434no—
1915C4×Q8—434no—
1916C4×Q8—432no—
1917C4×Q8—432no—
1918C4×Q8—431no—
1919C4×Q8—431no—
1920C4×Q8—432no—
1921C4×Q8—432no—
1922C4×Q8—432no—
1923C4×Q8—434no—
1924C4×Q8—434no—
1925C4×Q8—434no—
1926C4×Q8—434no—
1927C4×Q8—432no—
1928C4×Q8—432no—
1929C4×Q8C22×D4311yescharacteristic
1930C4×Q8C22×D4311yescharacteristic
1931C4×Q8C22×D4312yes—
1932C4×Q8C22×D4312yes—
1933C4×Q8C22×D4312yes—
1934C4×D4—431no—
1935C4×D4—431no—
1936C4×D4—432no—
1937C4×D4—432no—
1938C4×D4—434no—
1939C4×D4—434no—
1940C4×D4—434no—
1941C4×D4—432no—
1942C4×D4—434no—
1943C4×D4—432no—
1944C4×D4—432no—
1945C4×D4—432no—
1946C4×D4—432no—
1947C4×D4—432no—
1948C4×D4—432no—
1949C4×D4—434no—
1950C4×D4—434no—
1951C4×D4—434no—
1952C4×D4—434no—
1953C4×D4—434no—
1954C4×D4—434no—
1955C4×D4—434no—
1956C4×D4—431no—
1957C4×D4—431no—
1958C4×D4—432no—
1959C4×D4—432no—
1960C4×D4—434no—
1961C4×D4—434no—
1962C4×D4—432no—
1963C4×D4—434no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—432no—
1968C4×D4—432no—
1969C4×D4—432no—
1970C4×D4—434no—
1971C4×D4—434no—
1972C4×D4—434no—
1973C4×D4—434no—
1974C4×D4—434no—
1975C4×D4—432no—
1976C4×D4—432no—
1977C4×D4—431no—
1978C4×D4—431no—
1979C4×D4—434no—
1980C4×D4—434no—
1981C4×D4—434no—
1982C4×D4—432no—
1983C4×D4C22×D4311yescharacteristic
1984C4×D4C22×D4311yescharacteristic
1985C4×D4C22×D4312yes—
1986C4×D4C22×D4312yes—
1987C4×D4C22×D4314yes—
1988C4×D4C22×D4314yes—
1989C4×D4C22×D4312yes—
1990#117—432no—
1991#117—432no—
1992#117—432no—
1993#117—434no—
1994#117—434no—
1995#117—434no—
1996#117—432no—
1997#117—432no—
1998#117—432no—
1999#117—432no—
2000#117—432no—
2001#117—432no—
2002#117—434no—
2003#117—434no—
2004#117—432no—
2005#117—432no—
2006#117—434no—
2007#117—434no—
2008#117—432no—
2009#117—432no—
2010#117—434no—
2011#117—434no—
2012#117—434no—
2013#117—432no—
2014#117—432no—
2015#117—432no—
2016#117—432no—
2017#117—434no—
2018#117—434no—
2019#117—434no—
2020#117—432no—
2021#117—432no—
2022#117—432no—
2023#117—432no—
2024#117—434no—
2025#117—434no—
2026#117—434no—
2027#117—434no—
2028#117—434no—
2029#117C22×D4312yes—
2030#117C22×D4312yes—
2031#117C22×D4312yes—
2032C2×C4⋊C4—432no—
2033C2×C4⋊C4—434no—
2034C2×C4⋊C4—434no—
2035C2×C4⋊C4—432no—
2036C2×C4⋊C4—434no—
2037C2×C4⋊C4—434no—
2038C2×C4⋊C4—432no—
2039C2×C4⋊C4—432no—
2040C2×C4⋊C4—432no—
2041C2×C4⋊C4—432no—
2042C2×C4⋊C4—432no—
2043C2×C4⋊C4—431no—
2044C2×C4⋊C4—431no—
2045C2×C4⋊C4—432no—
2046C2×C4⋊C4—432no—
2047C2×C4⋊C4—431no—
2048C2×C4⋊C4—431no—
2049C2×C4⋊C4—432no—
2050C2×C4⋊C4—432no—
2051C2×C4⋊C4—434no—
2052C2×C4⋊C4—434no—
2053C2×C4⋊C4—432no—
2054C2×C4⋊C4—432no—
2055C2×C4⋊C4C22×D4312yes—
2056C2×C4⋊C4C22×D4312yes—
2057C2×C4⋊C4C22×D4312yes—
2058C2×C22⋊C4—434no—
2059C2×C22⋊C4—434no—
2060C2×C22⋊C4—434no—
2061C2×C22⋊C4—432no—
2062C2×C22⋊C4—432no—
2063C2×C22⋊C4—432no—
2064C2×C22⋊C4—432no—
2065C2×C22⋊C4—432no—
2066C2×C22⋊C4—432no—
2067C2×C22⋊C4—432no—
2068C2×C22⋊C4—432no—
2069C2×C22⋊C4—432no—
2070C2×C22⋊C4—432no—
2071C2×C22⋊C4—434no—
2072C2×C22⋊C4—434no—
2073C2×C42—434no—
2074C2×C42—431no—
2075C2×C42—431no—
2076C2×C42—431no—
2077C2×C42—431no—
2078C2×C42—431no—
2079C2×C42—432no—
2080C2×C42—432no—
2081C2×C42—431no—
2082C2×C42—431no—
2083C2×C42—431no—
2084C2×C42—431no—
2085C2×C42—431no—
2086C2×C42—431no—
2087C2×C42C22×D4311yescharacteristic
2088C24—431no—
2089C24—432no—
2090C24—432no—
2091#41—44no—
2092#41—1724no—
2093#41—1724no—
2094#41—1724no—
2095C2×Q8—44no—
2096C2×Q8—44no—
2097C2×Q8—431no—
2098C2×Q8—431no—
2099C2×Q8—432no—
2100C2×Q8—432no—
2101C2×Q8—434no—
2102C2×Q8—434no—
2103C2×Q8—434no—
2104C2×Q8—432no—
2105C2×Q8—432no—
2106C2×Q8—434no—
2107C2×Q8—1724no—
2108C2×Q8—1724no—
2109C2×Q8—1722no—
2110C2×Q8—1724no—
2111C2×Q8—1722no—
2112C2×Q8—1724no—
2113C2×Q8C23×D4311yescharacteristic
2114C2×Q8C23×D4312yes—
2115C2×Q8C23×D4312yes—
2116C2×Q8C23×D4311yescharacteristic
2117C2×Q8C23×D4314yes—
2118C2×Q8C23×D4314yes—
2119C2×D4—432no—
2120C2×D4—432no—
2121C2×D4—432no—
2122C2×D4—432no—
2123C2×D4—434no—
2124C2×D4—434no—
2125C2×D4—432no—
2126C2×D4—432no—
2127C2×D4—432no—
2128C2×D4—432no—
2129C2×D4—431no—
2130C2×D4—431no—
2131C2×D4—434no—
2132C2×D4—868no—
2133C2×D4—868no—
2134C2×D4—1722no—
2135C2×D4—1722no—
2136C2×D4C23×D4312yes—
2137C2×D4C23×D4312yes—
2138C2×D4C23×D4311yescharacteristic
2139C2×D4C23×D4311yescharacteristic
2140C2×D4C23×D4314yes—
2141C22×C4—431no—
2142C22×C4—431no—
2143C22×C4—431no—
2144C22×C4—434no—
2145C22×C4—434no—
2146C22×C4—434no—
2147C22×C4—432no—
2148C22×C4—432no—
2149C22×C4—431no—
2150C22×C4—431no—
2151C22×C4—431no—
2152C22×C4—431no—
2153C22×C4—431no—
2154C22×C4—431no—
2155C22×C4—431no—
2156C22×C4—431no—
2157C22×C4—432no—
2158C22×C4—432no—
2159C22×C4—432no—
2160C22×C4—432no—
2161C22×C4—431no—
2162C22×C4—431no—
2163C22×C4—431no—
2164C22×C4—431no—
2165C22×C4—432no—
2166C22×C4—432no—
2167C22×C4—432no—
2168C22×C4—432no—
2169C22×C4—434no—
2170C22×C4—434no—
2171C22×C4—434no—
2172C22×C4—434no—
2173C22×C4—432no—
2174C22×C4—432no—
2175C22×C4—864no—
2176C22×C4—1722no—
2177C22×C4—1724no—
2178C22×C4—1722no—
2179C22×C4—1724no—
2180C22×C4C23×D4311yescharacteristic
2181C22×C4C23×D4311yescharacteristic
2182C22×C4C23×D4311yescharacteristic
2183C22×C4C23×D4312yes—
2184C22×C4C23×D4312yes—
2185C22×C4C23×D4314yes—
2186C22×C4C23×D4314yes—
2187C22×C4C23×D4314yes—
2188C4⋊C4—432no—
2189C4⋊C4—432no—
2190C4⋊C4—432no—
2191C4⋊C4—432no—
2192C4⋊C4—431no—
2193C4⋊C4—431no—
2194C4⋊C4—432no—
2195C4⋊C4—432no—
2196C4⋊C4—434no—
2197C4⋊C4—434no—
2198C4⋊C4—434no—
2199C4⋊C4—434no—
2200C4⋊C4—434no—
2201C4⋊C4—434no—
2202C4⋊C4—434no—
2203C4⋊C4—432no—
2204C4⋊C4—432no—
2205C4⋊C4—432no—
2206C4⋊C4—432no—
2207C4⋊C4—431no—
2208C4⋊C4—431no—
2209C4⋊C4—432no—
2210C4⋊C4—432no—
2211C4⋊C4—432no—
2212C4⋊C4—432no—
2213C4⋊C4—432no—
2214C4⋊C4—432no—
2215C4⋊C4—432no—
2216C4⋊C4—432no—
2217C4⋊C4—434no—
2218C4⋊C4—432no—
2219C4⋊C4—432no—
2220C4⋊C4—432no—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—432no—
2226C4⋊C4—432no—
2227C4⋊C4—432no—
2228C4⋊C4—434no—
2229C4⋊C4—434no—
2230C4⋊C4—434no—
2231C4⋊C4—432no—
2232C4⋊C4—432no—
2233C4⋊C4—434no—
2234C4⋊C4—434no—
2235C4⋊C4—434no—
2236C4⋊C4—434no—
2237C4⋊C4—434no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—434no—
2241C4⋊C4—434no—
2242C4⋊C4—434no—
2243C4⋊C4—434no—
2244C4⋊C4—434no—
2245C4⋊C4—434no—
2246C4⋊C4—434no—
2247C4⋊C4—434no—
2248C4⋊C4—434no—
2249C4⋊C4—434no—
2250C4⋊C4—434no—
2251C4⋊C4—434no—
2252C4⋊C4C23×D4311yescharacteristic
2253C4⋊C4C23×D4311yescharacteristic
2254C4⋊C4C23×D4314yes—
2255C4⋊C4C23×D4312yes—
2256C4⋊C4C23×D4311yescharacteristic
2257C4⋊C4C23×D4312yes—
2258C4⋊C4C23×D4312yes—
2259C4⋊C4C23×D4312yes—
2260C4⋊C4C23×D4312yes—
2261C4⋊C4C23×D4311yescharacteristic
2262C4⋊C4C23×D4312yes—
2263C4⋊C4C23×D4312yes—
2264C4⋊C4C23×D4314yes—
2265C4⋊C4C23×D4312yes—
2266C4⋊C4C23×D4312yes—
2267C4⋊C4C23×D4312yes—
2268C4⋊C4C23×D4312yes—
2269C4⋊C4C23×D4314yes—
2270C4⋊C4C23×D4312yes—
2271C4⋊C4C23×D4314yes—
2272C4⋊C4C23×D4314yes—
2273C4⋊C4C23×D4314yes—
2274C4⋊C4C23×D4314yes—
2275C4⋊C4C23×D4314yes—
2276C22⋊C4—432no—
2277C22⋊C4—432no—
2278C22⋊C4—432no—
2279C22⋊C4—432no—
2280C22⋊C4—432no—
2281C22⋊C4—432no—
2282C22⋊C4—432no—
2283C22⋊C4—432no—
2284C22⋊C4—432no—
2285C22⋊C4—432no—
2286C22⋊C4—434no—
2287C22⋊C4—434no—
2288C22⋊C4—434no—
2289C22⋊C4—434no—
2290C22⋊C4—432no—
2291C22⋊C4—432no—
2292C22⋊C4—432no—
2293C22⋊C4—432no—
2294C22⋊C4—434no—
2295C22⋊C4—434no—
2296C22⋊C4—434no—
2297C22⋊C4—434no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—432no—
2301C22⋊C4—432no—
2302C22⋊C4—432no—
2303C22⋊C4—432no—
2304C22⋊C4—432no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—432no—
2308C22⋊C4—432no—
2309C22⋊C4—432no—
2310C22⋊C4—434no—
2311C22⋊C4—434no—
2312C22⋊C4—434no—
2313C22⋊C4—434no—
2314C22⋊C4—432no—
2315C22⋊C4—432no—
2316C22⋊C4—432no—
2317C22⋊C4—432no—
2318C22⋊C4—434no—
2319C22⋊C4—434no—
2320C22⋊C4—434no—
2321C22⋊C4—434no—
2322C22⋊C4C23×D4312yes—
2323C22⋊C4C23×D4312yes—
2324C22⋊C4C23×D4312yes—
2325C22⋊C4C23×D4312yes—
2326C22⋊C4C23×D4312yes—
2327C22⋊C4C23×D4312yes—
2328C22⋊C4C23×D4314yes—
2329C22⋊C4C23×D4314yes—
2330C22⋊C4C23×D4312yes—
2331C22⋊C4C23×D4312yes—
2332C22⋊C4C23×D4312yes—
2333C22⋊C4C23×D4312yes—
2334C22⋊C4C23×D4314yes—
2335C22⋊C4C23×D4314yes—
2336C42—431no—
2337C42—431no—
2338C42—431no—
2339C42—431no—
2340C42—431no—
2341C42—431no—
2342C42—431no—
2343C42—431no—
2344C42—431no—
2345C42—431no—
2346C42—431no—
2347C42—431no—
2348C42—432no—
2349C42—432no—
2350C42—432no—
2351C42—432no—
2352C42—434no—
2353C42—434no—
2354C42—434no—
2355C42—434no—
2356C42—432no—
2357C42—432no—
2358C42—434no—
2359C42—434no—
2360C42—434no—
2361C42—434no—
2362C42—434no—
2363C42—434no—
2364C42C23×D4311yescharacteristic
2365C42C23×D4311yescharacteristic
2366C42C23×D4311yescharacteristic
2367C42C23×D4311yescharacteristic
2368C42C23×D4312yes—
2369C42C23×D4312yes—
2370C42C23×D4314yes—
2371C42C23×D4314yes—
2372C23—431no—
2373C23—431no—
2374C23—434no—
2375C23—432no—
2376C23—432no—
2377C23—864no—
2378C23—864no—
2379C23—1722no—
2380C23—1722no—
2381C23—1722no—
2382C23—1722no—
2383C23—1721no—
2384C23—1721no—
2385C23C24×D4312yes—
2386C23C24×D4312yes—
2387C23C24×D4311yescharacteristic
2388Q8—22no—
2389Q8—24no—
2390Q8—24no—
2391Q8—22no—
2392Q8—44no—
2393Q8—44no—
2394Q8—862no—
2395Q8—862no—
2396Q8—864no—
2397Q8—864no—
2398Q8—1724no—
2399Q8—1722no—
2400Q8—1724no—
2401Q8—1724no—
2402Q8—1724no—
2403Q8—1722no—
2404D4—24no—
2405D4—24no—
2406D4—22no—
2407D4—22no—
2408D4—44no—
2409D4—864no—
2410D4—864no—
2411D4—864no—
2412D4—864no—
2413D4—864no—
2414D4—864no—
2415D4—862no—
2416D4—862no—
2417D4—1724no—
2418D4—1722no—
2419D4—1722no—
2420D4—1724no—
2421D4—1724no—
2422C2×C4—22no—
2423C2×C4—22no—
2424C2×C4—24no—
2425C2×C4—22no—
2426C2×C4—24no—
2427C2×C4—44no—
2428C2×C4—44no—
2429C2×C4—44no—
2430C2×C4—431no—
2431C2×C4—431no—
2432C2×C4—431no—
2433C2×C4—431no—
2434C2×C4—432no—
2435C2×C4—432no—
2436C2×C4—432no—
2437C2×C4—432no—
2438C2×C4—434no—
2439C2×C4—434no—
2440C2×C4—431no—
2441C2×C4—431no—
2442C2×C4—432no—
2443C2×C4—432no—
2444C2×C4—862no—
2445C2×C4—862no—
2446C2×C4—862no—
2447C2×C4—862no—
2448C2×C4—864no—
2449C2×C4—864no—
2450C2×C4—862no—
2451C2×C4—862no—
2452C2×C4—862no—
2453C2×C4—864no—
2454C2×C4—862no—
2455C2×C4—862no—
2456C2×C4—864no—
2457C2×C4—1722no—
2458C2×C4—1722no—
2459C2×C4—1721no—
2460C2×C4—1721no—
2461C2×C4—1722no—
2462C2×C4—1722no—
2463C2×C4—1721no—
2464C2×C4—1721no—
2465C2×C4—1724no—
2466C2×C4—1722no—
2467C2×C4—1724no—
2468C2×C4—1722no—
2469C2×C4—1724no—
2470C2×C4—1724no—
2471C2×C4—1722no—
2472C2×C4—1721no—
2473C2×C4—1722no—
2474C2×C4—1721no—
2475C2×C4—1724no—
2476C2×C4—1724no—
2477C2×C4—1724no—
2478C2×C4C24×D4312yes—
2479C2×C4C24×D4312yes—
2480C2×C4C24×D4312yes—
2481C2×C4C24×D4314yes—
2482C2×C4C24×D4314yes—
2483C2×C4C24×D4311yescharacteristic
2484C2×C4C24×D4311yescharacteristic
2485C2×C4C24×D4311yescharacteristic
2486C2×C4C24×D4311yescharacteristic
2487C2×C4C24×D4312yes—
2488C2×C4C24×D4312yes—
2489C2×C4C24×D4312yes—
2490C2×C4C24×D4311yescharacteristic
2491C2×C4C24×D4311yescharacteristic
2492C22—21no—
2493C22—21no—
2494C22—22no—
2495C22—22no—
2496C22—22no—
2497C22—22no—
2498C22—22no—
2499C22—22no—
2500C22—432no—
2501C22—432no—
2502C22—861no—
2503C22—861no—
2504C22—861no—
2505C22—861no—
2506C22—862no—
2507C22—862no—
2508C22—862no—
2509C22—862no—
2510C22—862no—
2511C22—862no—
2512C22—3444no—
2513C22—3444no—
2514C22—1724no—
2515C222−1+4×D4312yes—
2516C22C25×D4311yescharacteristic
2517C4—21no—
2518C4—21no—
2519C4—22no—
2520C4—22no—
2521C4—22no—
2522C4—21no—
2523C4—24no—
2524C4—24no—
2525C4—22no—
2526C4—22no—
2527C4—21no—
2528C4—22no—
2529C4—861no—
2530C4—861no—
2531C4—862no—
2532C4—862no—
2533C4—861no—
2534C4—862no—
2535C4—861no—
2536C4—862no—
2537C4—861no—
2538C4—862no—
2539C4—861no—
2540C4—864no—
2541C4—864no—
2542C4—862no—
2543C4#1458373412yes—
2544C4#1458373612yes—
2545C2—22no—
2546C2—42no—
2547C2—42no—
2548C2—862no—
2549C2—862no—
2550C2—1722no—
2551C2—1722no—
2552C2C2×2−1+4×D4311yescharacteristic
2553C2C2×#1458373411yescharacteristic
2554C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3552C2
hypercenter#3552D43
hypocenterC43#62823
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #19149217C2semidirect
2. #19149210C2semidirect
3. #19149200C2semidirect
4. #19149197C2semidirect
5. #19149166C2semidirect
6. #19149156C2semidirect
7. #19149045C2semidirect
8. #19149040C2semidirect
9. #19149036C2semidirect
10. #19149032C2semidirect
11. #19148692C2semidirect
12. #19148690C2semidirect
13. #19148688C2semidirect
14. #19148686C2semidirect
15. #19148647C2semidirect
16. #19148645C2semidirect
17. #19148643C2semidirect
18. #19148635C2semidirect
19. #19148589C2semidirect
20. #19148585C2semidirect
21. #19148579C2semidirect
22. #19148577C2semidirect
23. #19148431C2semidirect
24. #19148424C2semidirect
25. #19148392C2semidirect
26. #19148390C2semidirect
27. #19148350C2semidirect
28. #19148345C2semidirect
29. #19148344C2semidirect
30. #19148339C2semidirect
31. #19148289C2semidirect
32. C2×#14583454C2semidirect
33. #529×D43C2semidirect
34. #529×D43C2semidirect
35. C43×#3552C2semidirect
36. C43⋊#564C22semidirect
37. #14583651C22semidirect
38. #14583651C22semidirect
39. #14583651C22semidirect
40. #14583650C22semidirect
41. #14583648C22semidirect
42. #14583646C22semidirect
43. #14583628C22semidirect
44. #14583628C22semidirect
45. #14583627C22semidirect
46. #14583626C22semidirect
47. #14583625C22semidirect
48. #14583624C22semidirect
49. #14583624C22semidirect
50. #14583623C22semidirect
51. #14583623C22semidirect
52. #14583623C22semidirect
53. #14583622C22semidirect
54. #14583621C22semidirect
55. #14583620C22semidirect
56. #14583619C22semidirect
57. #14583619C22semidirect
58. #14583618C22semidirect
59. #14583618C22semidirect
60. #14583616C22semidirect
61. #14583610C22semidirect
62. #14583610C22semidirect
63. #14583609C22semidirect
64. #14583608C22semidirect
65. #14583607C22semidirect
66. #14583607C22semidirect
67. #14583607C22semidirect
68. #14583607C22semidirect
69. #14583606C22semidirect
70. #14583606C22semidirect
71. #14583605C22semidirect
72. #14583604C22semidirect
73. #14583604C22semidirect
74. #14583603C22semidirect
75. #14583603C22semidirect
76. #14583601C22semidirect
77. #14583601C22semidirect
78. #14583598C22semidirect
79. #14583597C22semidirect
80. #14583595C22semidirect
81. #14583595C22semidirect
82. #14583592C22semidirect
83. #14583591C22semidirect
84. #14583591C22semidirect
85. #14583591C22semidirect
86. #14583590C22semidirect
87. #14583588C22semidirect
88. #14583588C22semidirect
89. #14583587C22semidirect
90. #14583587C22semidirect
91. #14583587C22semidirect
92. #14583587C22semidirect
93. #14583586C22semidirect
94. #14583586C22semidirect
95. #14583585C22semidirect
96. #14583585C22semidirect
97. #14583585C22semidirect
98. #14583584C22semidirect
99. #14583583C22semidirect
100. #14583583C22semidirect
101. #14583583C22semidirect
102. #14583583C22semidirect
103. #14583583C22semidirect
104. #14583581C22semidirect
105. #14583581C22semidirect
106. #14583581C22semidirect
107. #14583579C22semidirect
108. #14583577C22semidirect
109. #14583577C22semidirect
110. #14583576C22semidirect
111. #14583576C22semidirect
112. #14583576C22semidirect
113. #14583574C22semidirect
114. #14583574C22semidirect
115. #14583574C22semidirect
116. #14583572C22semidirect
117. #14583572C22semidirect
118. #14583572C22semidirect
119. Q8×D172C22semidirect
120. Q8×D172C22semidirect
121. D4×Dic86C22semidirect
122. D4×Dic86C22semidirect
123. #14583564C22semidirect
124. #14583564C22semidirect
125. Q8×C22⋊D43C22semidirect
126. Q8×C22⋊D43C22semidirect
127. #14583562C22semidirect
128. #14583562C22semidirect
129. #14583560C22semidirect
130. #14583560C22semidirect
131. #14583559C22semidirect
132. #14583558C22semidirect
133. #14583556C22semidirect
134. #14583555C22semidirect
135. #14583555C22semidirect
136. #14583554C22semidirect
137. #14583553C22semidirect
138. #14583552C22semidirect
139. #14583546C22semidirect
140. #14583544C22semidirect
141. #14583542C22semidirect
142. #14583537C22semidirect
143. #14583529C22semidirect
144. #14583529C22semidirect
145. #14583527C22semidirect
146. #14583526C22semidirect
147. #14583526C22semidirect
149. #14583524C22semidirect
150. #14583524C22semidirect
151. #14583523C22semidirect
152. #14583523C22semidirect
153. #14583522C22semidirect
154. #14583522C22semidirect
155. #14583520C22semidirect
156. #14583519C22semidirect
157. #14583518C22semidirect
158. #14583518C22semidirect
159. #14583518C22semidirect
160. #14583517C22semidirect
161. #14583516C22semidirect
162. #14583512C22semidirect
163. #14583512C22semidirect
164. #14583512C22semidirect
165. #14583511C22semidirect
166. #14583510C22semidirect
167. #14583510C22semidirect
168. #14583510C22semidirect
169. #14583509C22semidirect
170. #14583509C22semidirect
171. #14583509C22semidirect
172. #14583509C22semidirect
173. #14583508C22semidirect
174. #14583508C22semidirect
175. #14583506C22semidirect
176. #14583506C22semidirect
177. #14583498C22semidirect
178. #14583496C22semidirect
180. #14583493C22semidirect
181. #14583493C22semidirect
182. #14583493C22semidirect
183. #14583492C22semidirect
185. #14583490C22semidirect
188. #14583475C22semidirect
189. #14583474C22semidirect
190. #14583469C22semidirect
192. #14583454C22semidirect
193. #14583454C22semidirect
194. #14583454C22semidirect
195. #14583454C22semidirect
196. #14583454C22semidirect
197. #14583454C22semidirect
198. #14583454C22semidirect
199. #14583454C22semidirect
200. #14583454C22semidirect
201. #14583454C22semidirect
202. #14583454C22semidirect
203. #14583454C22semidirect
204. #14583453C22semidirect
205. #14583453C22semidirect
206. C2×#13063325C22semidirect
210. #14583435C22semidirect
211. #14583435C22semidirect
212. #14583435C22semidirect
216. #14583433C22semidirect
217. #14583433C22semidirect
223. #14583430C22semidirect
224. #14583430C22semidirect
225. #14583430C22semidirect
226. #14583429C22semidirect
227. #14583429C22semidirect
228. #14583429C22semidirect
229. #14583429C22semidirect
235. #14583426C22semidirect
236. #14583426C22semidirect
237. #126×D43C22semidirect
238. #126×D43C22semidirect
239. C2×#13063316C22semidirect
240. #125×D43C22semidirect
241. #125×D43C22semidirect
242. #124×D43C22semidirect
243. #124×D43C22semidirect
251. C2×#13063305C22semidirect
253. C2×#13063301C22semidirect
256. C22⋊Q8×D43C22semidirect
257. C22⋊Q8×D43C22semidirect
260. #14583382C22semidirect
261. #14583381C22semidirect
262. #14583380C22semidirect
263. #14583378C22semidirect
264. #14583377C22semidirect
265. #14583376C22semidirect
266. #14583375C22semidirect
267. #14583375C22semidirect
270. C2×Q8×Dic43C22semidirect
271. C2×#13063290C22semidirect
272. C4×Q8×D43C22semidirect
273. C4×Q8×D43C22semidirect
276. C4×D4×D43C22semidirect
277. C4×D4×D43C22semidirect
279. #117×D43C22semidirect
280. #117×D43C22semidirect
282. C43×#563C22semidirect
283. C43×#557C22semidirect
284. C43×#556C22semidirect
285. C43×#554C22semidirect
286. C43×#553C22semidirect
287. D4×Q8×C43C22semidirect
288. D4×Q8×C43C22semidirect
289. C43×#548C22semidirect
290. C43×#547C22semidirect
291. C43×#544C22semidirect
292. C43×#542C22semidirect
293. C43×#541C22semidirect
294. C43×#539C22semidirect
295. C43×#536C22semidirect
296. C2×C4⋊Q8×C43C22semidirect
297. C43×#529C22semidirect
298. C43×#529C22semidirect
1278. #3552D43semidirect
1319. #563C2×D43semidirect
1328. #557C2×D43semidirect
1340. #556C2×D43semidirect
1356. #554C2×D43semidirect
1364. #553C2×D43semidirect
1411. D4×Q8C2×D43semidirect
1412. D4×Q8C2×D43semidirect
1420. #548C2×D43semidirect
1424. #547C2×D43semidirect
1434. #544C2×D43semidirect
1449. #542C2×D43semidirect
1465. #541C2×D43semidirect
1475. #539C2×D43semidirect
1481. #536C2×D43semidirect
1498. C2×C4⋊Q8C2×D43semidirect
1529. #529C2×D43semidirect
1530. #529C2×D43semidirect
1576. C43#62823semidirect

Maximal subgroups

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

subgroupindex
#191492172
#191492102
#191492002
#191491972
#191491662
#191491562
#191490452
#191490402
#191490362
#191490322
#191486922
#191486902
#191486882
#191486862
#191486472
#191486452
#191486432
#191486352
#191485892
#191485852
#191485792
#191485772
#191484312
#191484242
#191483922
#191483902
#191483502
#191483452
#191483442
#191483392
#191482892
C2×#145834542
#529×D432
C43×#35522
#6282343