Finite Group Databasebeta

← #26005447

Subgroups — #26005447

Order 11008.

6528 conjugacy classes of subgroups.

The subgroup lattice has 2550 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149242C212yesmaximal, complemented
2#19149236C212yesmaximal, complemented
3#19149217C214yesmaximal, complemented
4#19149095C214yesmaximal, complemented
5#19149072C212yesmaximal, complemented
6#19149055C212yesmaximal, complemented
7#19149036C211yesmaximal, characteristic, complemented
8#19148935C211yesmaximal, characteristic, complemented
9#19148935C211yesmaximal, characteristic, complemented
10#19148802C214yesmaximal, complemented
11#19148682C212yesmaximal, complemented
12#19148671C212yesmaximal, complemented
13#19148645C212yesmaximal, complemented
14#19148637C212yesmaximal, complemented
15#19148609C211yesmaximal, characteristic, complemented
16#19148607C211yesmaximal, characteristic, complemented
17#19148574C212yesmaximal, complemented
18#19148572C211yesmaximal, characteristic, complemented
19#19148566C212yesmaximal, complemented
20#19148564C211yesmaximal, characteristic, complemented
21#19148487C212yesmaximal, complemented
22#19148455C214yesmaximal, complemented
23#19148450C211yesmaximal, characteristic, complemented
24#19148445C211yesmaximal, characteristic, complemented
25#19148418C212yesmaximal, complemented
26#19148399C211yesmaximal, characteristic, complemented
27#19148390C211yesmaximal, characteristic, complemented
28#19148344C212yesmaximal, complemented
29#19148343C212yesmaximal, complemented
30#19148339C212yesmaximal, complemented
31#19148326C212yesmaximal, complemented
32#19147889C211yesmaximal, characteristic, complemented
33C2×#14583454C211yesmaximal, characteristic, complemented
34#529×D43C211yesmaximal, characteristic, complemented
35C43×#3552C211yesmaximal, characteristic, complemented
36#14583653C2214yescomplemented
37#14583651C2214yescomplemented
38#14583651C2214yescomplemented
39#14583651C2214yescomplemented
40#14583648C2214yescomplemented
41#14583646C2214yescomplemented
42#14583645C2214yescomplemented
43#14583633C2214yescomplemented
44#14583633C2214yescomplemented
45#14583631C2214yescomplemented
46#14583631C2212yescomplemented
47Q8×Dic86C2212yescomplemented
48Q8×Dic86C2211yescharacteristic, complemented
49Q8×Dic86C2211yescharacteristic, complemented
50#14583628C2212yescomplemented
51#14583626C2214yescomplemented
52#14583626C2212yescomplemented
53#14583626C2214yescomplemented
54#14583625C2212yescomplemented
55#14583624C2211yescharacteristic, complemented
56#14583624C2214yescomplemented
57#14583624C2212yescomplemented
58#14583623C2212yescomplemented
59#14583623C2211yescharacteristic, complemented
60#14583622C2212yescomplemented
61#14583620C2212yescomplemented
62#14583620C2212yescomplemented
63#14583620C2214yescomplemented
64#14583620C2212yescomplemented
65#14583620C2214yescomplemented
66#14583620C2214yescomplemented
67#14583616C2214yescomplemented
68#14583616C2214yescomplemented
69#14583616C2214yescomplemented
70#14583616C2214yescomplemented
71#14583614C2212yes—
72#14583614C2211yescharacteristic, complemented
73#14583614C2211yescharacteristic, complemented
74#14583612C2212yes—
75#14583610C2214yes—
76#14583610C2212yescomplemented
77#14583609C2211yescharacteristic, complemented
78#14583609C2211yescharacteristic, complemented
79#14583608C2212yescomplemented
80#14583607C2214yes—
81#14583607C2212yescomplemented
82#14583607C2214yescomplemented
83#14583606C2211yescharacteristic, complemented
84#14583606C2211yescharacteristic, complemented
85#14583605C2214yes—
86#14583604C2212yescomplemented
87#14583603C2214yes—
88#14583603C2214yescomplemented
89#14583603C2214yescomplemented
90#14583602C2212yes—
91#14583601C2212yes—
92#14583597C2212yes—
93#14583597C2212yescomplemented
94#14583596C2212yescomplemented
95#14583591C2214yescomplemented
96#14583591C2212yescomplemented
97#14583591C2214yescomplemented
98#14583591C2212yescomplemented
99#14583591C2212yescomplemented
100#14583591C2212yescomplemented
101#14583590C2212yescomplemented
102#14583590C2212yescomplemented
103#14583589C2214yescomplemented
104#14583589C2212yescomplemented
105#14583589C2212yescomplemented
106#14583588C2212yescomplemented
107#14583587C2214yescomplemented
108#14583586C2214yescomplemented
109#14583586C2214yescomplemented
110#14583586C2214yescomplemented
111#14583585C2214yescomplemented
112#14583584C2212yescomplemented
113#14583583C2214yes—
114#14583581C2214yes—
115#14583581C2214yescomplemented
116#14583581C2214yescomplemented
117#14583579C2214yes—
118#14583578C2214yes—
119#14583576C2214yes—
120#14583576C2214yes—
121#14583574C2214yes—
122#14583574C2214yes—
123#14583572C2214yes—
124#14583572C2214yes—
125#14583568C2212yescomplemented
126#14583564C2211yescharacteristic, complemented
127Q8×C22⋊D43C2212yescomplemented
128Q8×C22⋊D43C2212yescomplemented
129#14583560C2212yescomplemented
130#14583560C2212yescomplemented
131#14583557C2212yescomplemented
132#14583553C2212yes—
133#14583553C2214yescomplemented
134#14583553C2212yescomplemented
135#14583552C2212yescomplemented
136#14583552C2211yescharacteristic, complemented
137#14583549C2212yes—
138#14583549C2214yescomplemented
139#14583549C2212yescomplemented
140#14583548C2212yescomplemented
141#14583544C2214yes—
142#14583538C2214yes—
143#14583529C2214yes—
144#14583529C2212yes—
145#14583529C2212yescomplemented
146#14583529C2212yescomplemented
147#14583527C2212yescomplemented
148#14583527C2212yescomplemented
149#14583526C2212yes—
150#14583526C2212yescomplemented
151#14583524C2214yes—
152#14583523C2214yescomplemented
153#14583523C2212yescomplemented
154#14583522C2214yescomplemented
155#14583522C2212yescomplemented
156#14583522C2214yescomplemented
157#14583520C2212yescomplemented
158#14583520C2212yescomplemented
159#14583519C2214yescomplemented
160#14583518C2212yescomplemented
161#14583518C2212yescomplemented
162#14583518C2214yescomplemented
163#14583518C2212yescomplemented
164#14583515C2214yes—
165#14583515C2214yescomplemented
166#14583513C2214yescomplemented
167#14583512C2214yescomplemented
168#14583510C2212yescomplemented
169#14583510C2212yescomplemented
170#14583510C2214yescomplemented
171#14583509C2212yescomplemented
172#14583509C2214yescomplemented
173#14583508C2214yescomplemented
174#14583506C2214yescomplemented
175#14583501C2214yes—
176#14583498C2214yescomplemented
177#14583498C2214yescomplemented
178#14583498C2214yescomplemented
179#14583497C2214yescomplemented
180#14583496C2214yescomplemented
181#14583495C2214yescomplemented
182#14583494C2214yescomplemented
183#14583493C2214yescomplemented
184#14583492C2214yescomplemented
185#14583490C2214yes—
186#14583485C2214yes—
187#14583474C2212yescomplemented
188#14583472C2212yes—
189#14583471C2214yescomplemented
190#14583471C2214yescomplemented
191#14583465C2212yes—
192#14583455C2211yescharacteristic, complemented
193#14583454C2212yes—
194#14583454C2212yes—
195#14583454C2211yescharacteristic
196#14583454C2211yescharacteristic
197#14583454C2212yes—
198#14583454C2212yes—
199#14583454C2212yescomplemented
200#14583454C2211yescharacteristic, complemented
201#14583454C2212yescomplemented
202#14583454C2212yescomplemented
203#14583454C2211yescharacteristic, complemented
204#14583454C2212yescomplemented
205#14583453C2212yes—
206#14583453C2211yescharacteristic
207#14583452C2212yescomplemented
208#14583451C2214yescomplemented
209#14583451C2211yescharacteristic, complemented
210#14583448C2211yescharacteristic, complemented
211#14583446C2211yescharacteristic
212#14583444C2214yes—
213#14583444C2211yescharacteristic, complemented
214C2×#13063325C2211yescharacteristic, complemented
215#14583436C2211yescharacteristic
216#14583436C2212yes—
217#14583436C2212yescomplemented
218#14583435C2211yescharacteristic
219#14583435C2212yescomplemented
220#14583434C2211yescharacteristic
221#14583434C2211yescharacteristic
222#14583433C2211yescharacteristic
223#14583433C2211yescharacteristic, complemented
224#14583432C2212yes—
225#14583432C2212yes—
226#14583432C2212yescomplemented
227#14583431C2211yescharacteristic
228#14583431C2212yescomplemented
229#14583430C2211yescharacteristic
230#14583430C2212yescomplemented
231#14583429C2214yes—
232#14583429C2212yes—
233#14583429C2214yescomplemented
234#14583428C2211yescharacteristic
235#14583428C2212yes—
236#14583428C2211yescharacteristic
237#14583427C2212yes—
238#14583427C2212yescomplemented
239#14583426C2212yes—
240#14583426C2212yescomplemented
241#126×D43C2212yes—
242C2×#13063316C2212yescomplemented
243C2×#13063316C2212yescomplemented
244#125×D43C2211yescharacteristic
245#125×D43C2212yescomplemented
246#124×D43C2211yescharacteristic
247#14583412C2212yes—
248#14583412C2211yescharacteristic
249#14583409C2211yescharacteristic
250#14583408C2212yes—
251#14583407C2212yes—
252#14583406C2212yes—
253#123×D43C2212yes—
254C2×#13063305C2212yes—
255C2×#13063301C2212yes—
256C2×#13063301C2212yes—
257C22⋊Q8×D43C2212yes—
258C22⋊Q8×D43C2211yescharacteristic
259#121×D43C2211yescharacteristic
260#14583382C2212yescomplemented
261#14583381C2212yescomplemented
262#14583380C2212yes—
263#14583379C2212yes—
264#14583378C2214yescomplemented
265#14583378C2214yescomplemented
266#14583377C2212yescomplemented
267#14583375C2212yes—
268#14583375C2212yescomplemented
269#14583371C2212yes—
270C4×#10621902C2211yescharacteristic, complemented
271#14583367C2212yes—
272C4×#10621900C2211yescharacteristic, complemented
273C4×#10621900C2212yescomplemented
274C2×Q8×Dic43C2212yescomplemented
275C2×#13063290C2212yescomplemented
276C4×Q8×D43C2211yescharacteristic
277C4×D4×D43C2212yes—
278C4×D4×D43C2211yescharacteristic
279C2×#13063283C2212yes—
280#117×D43C2212yes—
281C2×C42×D43C2211yescharacteristic
282C43×#563C2214yescomplemented
283C43×#557C2211yescharacteristic, complemented
284C43×#556C2211yescharacteristic, complemented
285C43×#554C2212yescomplemented
286C43×#553C2212yes—
287D4×Q8×C43C2211yescharacteristic, complemented
288D4×Q8×C43C2212yescomplemented
289C43×#548C2212yescomplemented
290C43×#547C2211yescharacteristic, complemented
291C43×#544C2212yescomplemented
292C43×#542C2212yescomplemented
293C43×#541C2212yescomplemented
294C43×#539C2214yescomplemented
295C43×#536C2212yescomplemented
296C2×C4⋊Q8×C43C2211yescharacteristic, complemented
297C43×#529C2211yescharacteristic
298C43×#529C2211yescharacteristic, complemented
299C2×#10621902C2311yescharacteristic
300C2×#10621902C2312yes—
301C2×#10621898C2312yes—
302C2×#10621900C2314yes—
303C2×#10621900C2312yes—
304C2×#10621900C2314yes—
305C2×#10621900C2311yescharacteristic
306C22×Dic86C2312yes—
307C2×Q8×D43C2311yescharacteristic
308C2×Q8×D43C2312yes—
309C2×D4×D43C2311yescharacteristic
310C2×D4×D43C2312yes—
311C22×C4×D43C2311yescharacteristic
312C22×C4×D43C2311yescharacteristic
313C22×C4×D43C2311yescharacteristic
314C22×C4×D43C2312yes—
315#13063325C2312yes—
316#13063325C2312yes—
317#13063325C2314yes—
318#13063325C2311yescharacteristic
319#13063325C2311yescharacteristic
320#13063325C2312yes—
321#13063325C2312yes—
322#13063325C2312yes—
323#13063324C2312yes—
324#13063324C2314yes—
325#13063324C2314yes—
326#13063324C2311yescharacteristic
327#13063324C2314yes—
328#13063324C2312yes—
329#13063324C2314yes—
330#13063324C2314yes—
331#13063324C2311yescharacteristic
332#13063324C2314yes—
333#13063324C2312yes—
334#13063324C2314yes—
335#13063323C2311yescharacteristic
336#13063323C2314yes—
337#13063323C2314yes—
338#13063323C2312yes—
339#13063321C2311yescharacteristic
340#13063321C2314yes—
341#13063320C2314yes—
342#13063320C2314yes—
343#13063320C2314yes—
344#13063320C2314yes—
345#13063320C2314yes—
346#13063320C2314yes—
347#13063320C2314yes—
348#13063320C2314yes—
349#13063320C2314yes—
350#13063320C2314yes—
351#13063320C2314yes—
352#13063320C2312yes—
353#13063320C2312yes—
354#13063320C2314yes—
355#13063320C2314yes—
356#13063320C2314yes—
357#13063320C2312yes—
358#13063320C2312yes—
359#13063319C2314yes—
360#13063319C2312yes—
361#13063319C2312yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2314yes—
365#13063318C2314yes—
366#13063318C2314yes—
367#13063318C2314yes—
368#13063318C2312yes—
369#13063318C2312yes—
370#13063318C2314yes—
371#13063318C2314yes—
372#13063318C2312yes—
373#13063318C2312yes—
374#13063317C2314yes—
375#13063317C2312yes—
376#13063317C2312yes—
377#13063317C2311yescharacteristic
378#13063317C2311yescharacteristic
379#13063316C2314yes—
380#13063316C2312yes—
381#13063316C2314yes—
382#13063316C2314yes—
383#13063316C2314yes—
384#13063316C2314yes—
385#13063316C2312yes—
386#13063316C2312yes—
387#13063316C2314yes—
388#13063316C2314yes—
389#13063316C2314yes—
390#13063316C2312yes—
391#13063316C2312yes—
392#13063316C2311yescharacteristic
393#13063316C2311yescharacteristic
394#13063316C2312yes—
395#13063316C2312yes—
396#13063316C2314yes—
397#13063315C2314yes—
398#13063315C2314yes—
399#13063315C2314yes—
400#13063315C2314yes—
401#13063315C2314yes—
402#13063315C2314yes—
403#13063315C2314yes—
404#13063315C2314yes—
405#13063315C2314yes—
406#13063315C2314yes—
407#13063315C2314yes—
408#13063315C2312yes—
409#13063315C2312yes—
410#13063315C2314yes—
411#13063315C2314yes—
412#13063315C2312yes—
413#13063315C2312yes—
414#13063314C2312yes—
415#13063314C2314yes—
416#13063314C2314yes—
417#13063314C2311yescharacteristic
418#13063313C2314yes—
419#13063313C2311yescharacteristic
420#13063313C2311yescharacteristic
421#13063312C2311yescharacteristic
422#13063311C2314yes—
423#13063311C2314yes—
424#13063311C2314yes—
425#13063311C2314yes—
426#13063311C2314yes—
427#13063311C2314yes—
428#13063311C2314yes—
429#13063311C2314yes—
430#13063311C2312yes—
431#13063311C2312yes—
432#13063311C2314yes—
433#13063311C2314yes—
434#13063311C2312yes—
435#13063311C2312yes—
436#13063310C2314yes—
437#13063310C2314yes—
438#13063310C2314yes—
439#13063310C2312yes—
440#13063310C2314yes—
441#13063310C2314yes—
442#13063310C2314yes—
443#13063310C2314yes—
444#13063310C2314yes—
445#13063310C2312yes—
446#13063310C2312yes—
447#13063310C2312yes—
448#13063309C2314yes—
449#13063309C2314yes—
450#13063309C2314yes—
451#13063309C2312yes—
452#13063309C2314yes—
453#13063309C2314yes—
454#13063309C2314yes—
455#13063309C2314yes—
456#13063308C2314yes—
457#13063308C2312yes—
458#13063308C2312yes—
459#13063307C2312yes—
460#13063307C2314yes—
461#13063307C2314yes—
462#13063307C2314yes—
463#13063307C2314yes—
464#13063307C2314yes—
465#13063307C2312yes—
466#13063307C2312yes—
467#13063307C2312yes—
468#13063306C2314yes—
469#13063306C2314yes—
470#13063306C2314yes—
471#13063306C2312yes—
472#13063306C2314yes—
473#13063305C2314yes—
474#13063305C2314yes—
475#13063305C2314yes—
476#13063305C2314yes—
477#13063305C2314yes—
478#13063305C2314yes—
479#13063305C2311yescharacteristic
480#13063305C2312yes—
481#13063305C2314yes—
482#13063305C2311yescharacteristic
483#13063305C2312yes—
484#13063305C2312yes—
485#13063305C2312yes—
486#13063305C2312yes—
487#13063304C2311yescharacteristic
488#13063304C2314yes—
489#13063304C2312yes—
490#13063304C2314yes—
491#13063304C2312yes—
492#13063304C2311yescharacteristic
493#13063303C2314yes—
494#13063303C2314yes—
495#13063303C2314yes—
496#13063303C2314yes—
497#13063303C2314yes—
498#13063303C2314yes—
499#13063303C2314yes—
500#13063303C2314yes—
501#13063303C2314yes—
502#13063303C2312yes—
503#13063303C2312yes—
504#13063303C2312yes—
505#13063303C2312yes—
506#13063302C2314yes—
507#13063302C2314yes—
508#13063302C2314yes—
509#13063302C2314yes—
510#13063302C2314yes—
511#13063302C2314yes—
512#13063302C2314yes—
513#13063302C2314yes—
514#13063302C2314yes—
515#13063302C2314yes—
516#13063302C2312yes—
517#13063302C2312yes—
518#13063301C2312yes—
519#13063301C2312yes—
520#13063301C2312yes—
521#13063301C2312yes—
522#13063301C2312yes—
523#13063301C2314yes—
524#13063301C2314yes—
525#13063301C2314yes—
526#13063301C2314yes—
527#13063301C2314yes—
528#13063301C2314yes—
529#13063301C2311yescharacteristic
530#13063301C2312yes—
531#13063301C2314yes—
532#13063301C2312yes—
533#13063301C2311yescharacteristic
534#13063301C2312yes—
535#13063301C2314yes—
536#13063300C2312yes—
537#13063300C2314yes—
538#13063300C2311yescharacteristic
539#13063300C2311yescharacteristic
540#13063299C2311yescharacteristic
541#13063299C2312yes—
542#13063299C2311yescharacteristic
543#13063299C2312yes—
544#13063299C2314yes—
545#13063299C2314yes—
546#13063299C2314yes—
547#13063298C2314yes—
548#13063298C2312yes—
549#13063298C2312yes—
550#13063298C2312yes—
551#13063298C2312yes—
552#13063297C2314yes—
553#13063297C2312yes—
554#13063297C2312yes—
555#13063296C2312yes—
556#13063296C2314yes—
557#13063296C2312yes—
558#13063296C2311yescharacteristic
559#13063296C2311yescharacteristic
560#13063295C2314yes—
561#13063295C2312yes—
562#13063293C2314yes—
563#13063293C2312yes—
564Q8×Dic43C2312yes—
565Q8×Dic43C2312yes—
566Q8×Dic43C2312yes—
567Q8×Dic43C2312yes—
568Q8×Dic43C2312yes—
569Q8×Dic43C2314yes—
570Q8×Dic43C2314yes—
571Q8×Dic43C2311yescharacteristic
572Q8×Dic43C2312yes—
573Q8×Dic43C2314yes—
574Q8×Dic43C2312yes—
575Q8×Dic43C2312yes—
576Q8×Dic43C2314yes—
577Q8×Dic43C2311yescharacteristic
578C4×Dic86C2312yes—
579C4×Dic86C2311yescharacteristic
580C4×Dic86C2314yes—
581C4×Dic86C2314yes—
582C4×Dic86C2312yes—
583C4×Dic86C2311yescharacteristic
584C4×Dic86C2312yes—
585C4×Dic86C2314yes—
586C4×Dic86C2314yes—
587C4×Dic86C2314yes—
588C4×Dic86C2312yes—
589#13063290C2314yes—
590#13063290C2312yes—
591#13063290C2314yes—
592#13063290C2312yes—
593#13063290C2314yes—
594#13063290C2311yescharacteristic
595#13063290C2314yes—
596#13063290C2312yes—
597#13063290C2314yes—
598#13063290C2312yes—
599#13063290C2312yes—
600#13063290C2312yes—
601#13063290C2312yes—
602#13063290C2312yes—
603#13063290C2314yes—
604#13063290C2314yes—
605#13063290C2311yescharacteristic
606#13063290C2312yes—
607C4×D172C2312yes—
608C4×D172C2312yes—
609C4×D172C2311yescharacteristic
610C4×D172C2311yescharacteristic
611C4×D172C2312yes—
612C4×D172C2314yes—
613C4×D172C2314yes—
614C4×D172C2312yes—
615D4×Dic43C2314yes—
616D4×Dic43C2314yes—
617D4×Dic43C2311yescharacteristic
618D4×Dic43C2312yes—
619D4×Dic43C2312yes—
620D4×Dic43C2312yes—
621D4×Dic43C2312yes—
622D4×Dic43C2311yescharacteristic
623#13063287C2312yes—
624#13063287C2312yes—
625#13063287C2314yes—
626#13063287C2312yes—
627#13063287C2314yes—
628#13063287C2311yescharacteristic
629#13063287C2312yes—
630#13063287C2311yescharacteristic
631#13063287C2312yes—
632C4×C22⋊D43C2312yes—
633C4×C22⋊D43C2314yes—
634C4×C22⋊D43C2314yes—
635C4×C22⋊D43C2312yes—
636C4×C22⋊D43C2312yes—
637C4×C22⋊D43C2314yes—
638C4×C22⋊D43C2314yes—
639C4×C22⋊D43C2314yes—
640C4×C22⋊D43C2314yes—
641C4×C22⋊D43C2312yes—
642C4×C22⋊D43C2312yes—
643C4×C22⋊D43C2312yes—
644C4×C22⋊D43C2314yes—
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)⋊C4C2314yes—
653(C22⋊D43)⋊C4C2314yes—
654(C22⋊D43)⋊C4C2312yes—
655(C22⋊D43)⋊C4C2312yes—
656(C22⋊D43)⋊C4C2312yes—
657(C22⋊D43)⋊C4C2312yes—
658(C22⋊D43)⋊C4C2312yes—
659(C22⋊D43)⋊C4C2312yes—
660#13063284C2314yes—
661#13063284C2314yes—
662#13063284C2314yes—
663#13063284C2312yes—
664#13063284C2312yes—
665#13063284C2312yes—
666#13063283C2314yes—
667#13063283C2314yes—
668#13063283C2314yes—
669#13063283C2312yes—
670#13063283C2312yes—
671#13063283C2312yes—
672#13063283C2312yes—
673#13063283C2312yes—
674#13063283C2311yescharacteristic
675#13063283C2311yescharacteristic
676#13063283C2312yes—
677#13063283C2312yes—
678#13063283C2312yes—
679#13063283C2312yes—
680#13063283C2312yes—
681#13063283C2312yes—
682#13063283C2314yes—
683#13063282C2314yes—
684#13063282C2314yes—
685#13063282C2314yes—
686#13063282C2314yes—
687#13063282C2314yes—
688#13063282C2312yes—
689#13063282C2312yes—
690#13063282C2312yes—
691#13063282C2312yes—
692#13063281C2314yes—
693#13063281C2314yes—
694#13063281C2314yes—
695#13063281C2312yes—
696#13063281C2312yes—
697#13063281C2312yes—
698#13063281C2312yes—
699#13063281C2314yes—
700#13063281C2312yes—
701C2×C4⋊Dic43C2312yes—
702C2×C4⋊Dic43C2312yes—
703C2×C4⋊Dic43C2312yes—
704C2×C4⋊Dic43C2314yes—
705C2×C4⋊Dic43C2312yes—
706C2×C4⋊Dic43C2314yes—
707C2×Dic43⋊C4C2314yes—
708C2×Dic43⋊C4C2314yes—
709C2×Dic43⋊C4C2314yes—
710C4⋊C4×D43C2314yes—
711C4⋊C4×D43C2312yes—
712C4⋊C4×D43C2312yes—
713C4⋊C4×D43C2314yes—
714C4⋊C4×D43C2314yes—
715C4⋊C4×D43C2312yes—
716C4⋊C4×D43C2312yes—
717C4⋊C4×D43C2312yes—
718C4⋊C4×D43C2312yes—
719C4⋊C4×D43C2311yescharacteristic
720C4⋊C4×D43C2311yescharacteristic
721C4⋊C4×D43C2312yes—
722C2×(C2×D43)⋊C4C2314yes—
723C2×(C2×D43)⋊C4C2314yes—
724C22⋊C4×D43C2312yes—
725C22⋊C4×D43C2312yes—
726C22⋊C4×D43C2314yes—
727C22⋊C4×D43C2312yes—
728C22⋊C4×D43C2312yes—
729C22⋊C4×D43C2312yes—
730C2×C4×Dic43C2311yescharacteristic
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2314yes—
734C2×C4×Dic43C2312yes—
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×C43C2312yes—
750C4⋊Q8×C43C2311yescharacteristic
751C4⋊Q8×C43C2312yes—
752C4⋊Q8×C43C2312yes—
753C4⋊Q8×C43C2312yes—
754C4⋊Q8×C43C2312yes—
755C4⋊Q8×C43C2314yes—
756#126×C43C2314yes—
757#126×C43C2314yes—
758#126×C43C2312yes—
759#126×C43C2312yes—
760#126×C43C2314yes—
761#125×C43C2314yes—
762#125×C43C2314yes—
763#125×C43C2314yes—
764#125×C43C2311yescharacteristic
765#125×C43C2311yescharacteristic
766#125×C43C2312yes—
767#124×C43C2312yes—
768#124×C43C2314yes—
769#124×C43C2311yescharacteristic
770#124×C43C2311yescharacteristic
771#123×C43C2314yes—
772#123×C43C2314yes—
773#123×C43C2312yes—
774#123×C43C2312yes—
775#123×C43C2314yes—
776C22⋊Q8×C43C2314yes—
777C22⋊Q8×C43C2314yes—
778C22⋊Q8×C43C2314yes—
779C22⋊Q8×C43C2311yescharacteristic
780C22⋊Q8×C43C2311yescharacteristic
781C22⋊Q8×C43C2314yes—
782C22⋊Q8×C43C2312yes—
783C22⋊Q8×C43C2312yes—
784C22⋊Q8×C43C2314yes—
785C22⋊Q8×C43C2312yes—
786C22⋊Q8×C43C2314yes—
787#121×C43C2311yescharacteristic
788#121×C43C2311yescharacteristic
789#121×C43C2314yes—
790#121×C43C2312yes—
791C4×Q8×C43C2311yescharacteristic
792C4×Q8×C43C2311yescharacteristic
793C4×Q8×C43C2312yes—
794C4×Q8×C43C2312yes—
795C4×Q8×C43C2312yes—
796C4×D4×C43C2312yes—
797C4×D4×C43C2314yes—
798C4×D4×C43C2312yes—
799C4×D4×C43C2311yescharacteristic
800C4×D4×C43C2311yescharacteristic
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×D43C2411yescharacteristic
811C23×D43C2412yes—
812#41×C43—44no—
813C2×Q8×C43—44no—
814C2×Q8×C43—44no—
815C2×Q8×C43C2411yescharacteristic
816C2×Q8×C43C2412yes—
817C2×Q8×C43C2411yescharacteristic
818C2×Q8×C43C2412yes—
819C2×Q8×C43C2414yes—
820C2×Q8×C43C2414yes—
821C2×D4×C43C2412yes—
822C2×D4×C43C2412yes—
823C2×D4×C43C2411yescharacteristic
824C2×D4×C43C2411yescharacteristic
825C2×D4×C43C2414yes—
826C22×C4×C43C2411yescharacteristic
827C22×C4×C43C2411yescharacteristic
828C22×C4×C43C2411yescharacteristic
829C22×C4×C43C2412yes—
830C22×C4×C43C2412yes—
831C22×C4×C43C2414yes—
832C22×C4×C43C2414yes—
833C22×C4×C43C2414yes—
834C2×C22⋊D43C2412yes—
835C2×C22⋊D43C2412yes—
836C2×C22⋊D43C2412yes—
837C2×C22⋊D43C2412yes—
838C2×C22⋊D43C2412yes—
839C2×C22⋊D43C2414yes—
840C2×C22⋊D43C2412yes—
841C2×C22⋊D43C2414yes—
842C2×C22⋊D43C2412yes—
843C2×C22⋊D43C2412yes—
844C22×Dic43C2411yescharacteristic
845C22×Dic43C2411yescharacteristic
846C22×Dic43C2414yes—
847C22×Dic43C2411yescharacteristic
848C22×Dic43C2412yes—
849C22×Dic43C2412yes—
850C22×Dic43C2414yes—
851C22×Dic43C2412yes—
852C22×Dic43C2414yes—
853#10621902—42no—
854#10621902—44no—
855Q8×D43—24no—
856Q8×D43—44no—
857#10621900—42no—
858#10621900—48no—
859#10621900—48no—
860#10621900—44no—
861D4×D43—24no—
862D4×D43—44no—
863#10621898—28no—
864C2×D172C2412yes—
865C2×D172C2411yescharacteristic
866C2×D172C2411yescharacteristic
867C2×D172C2412yes—
868C2×D172C2414yes—
869C2×D172C2412yes—
870C2×C4×D43—24no—
871C2×C4×D43—42no—
872C2×C4×D43—42no—
873C2×C4×D43—44no—
874C2×C4×D43C2411yescharacteristic
875C2×C4×D43C2411yescharacteristic
876C2×C4×D43C2411yescharacteristic
877C2×C4×D43C2411yescharacteristic
878C2×C4×D43C2411yescharacteristic
879C2×C4×D43C2412yes—
880C2×C4×D43C2412yes—
881C2×C4×D43C2412yes—
882C2×C4×D43C2411yescharacteristic
883C2×C4×D43C2411yescharacteristic
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×D43C2411yescharacteristic
898C2×Dic86—44no—
899C2×Dic86C2412yes—
900C2×Dic86C2412yes—
901C2×Dic86C2411yescharacteristic
902C2×Dic86C2411yescharacteristic
903C2×Dic86C2412yes—
904C2×Dic86C2414yes—
905C2×Dic86C2412yes—
906C2×Dic86C2414yes—
907C2×Dic86C2412yes—
908C2×Dic86C2414yes—
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⋊Dic43C2414yes—
962C22⋊Dic43C2412yes—
963C22⋊Dic43C2412yes—
964C22⋊Dic43C2412yes—
965C22⋊Dic43C2414yes—
966C22⋊Dic43C2414yes—
967C22⋊Dic43C2414yes—
968(C2×D43)⋊C4C2412yes—
969(C2×D43)⋊C4C2414yes—
970(C2×D43)⋊C4C2412yes—
971(C2×D43)⋊C4C2412yes—
972(C2×D43)⋊C4C2412yes—
973(C2×D43)⋊C4C2412yes—
974(C2×D43)⋊C4C2412yes—
975(C2×D43)⋊C4C2412yes—
976(C2×D43)⋊C4C2412yes—
977(C2×D43)⋊C4C2412yes—
978(C2×D43)⋊C4C2412yes—
979(C2×D43)⋊C4C2412yes—
980(C2×D43)⋊C4C2412yes—
981(C2×D43)⋊C4C2414yes—
982(C2×D43)⋊C4C2414yes—
983(C2×D43)⋊C4C2414yes—
984(C2×D43)⋊C4C2414yes—
985(C2×D43)⋊C4C2414yes—
986(C2×D43)⋊C4C2412yes—
987(C2×D43)⋊C4C2412yes—
988(C2×D43)⋊C4C2414yes—
989(C2×D43)⋊C4C2412yes—
990(C2×D43)⋊C4C2412yes—
991(C2×D43)⋊C4C2414yes—
992(C2×D43)⋊C4C2414yes—
993(C2×D43)⋊C4C2414yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2414yes—
997(C2×D43)⋊C4C2414yes—
998(C2×D43)⋊C4C2412yes—
999(C2×D43)⋊C4C2412yes—
1000C4⋊Dic43C2411yescharacteristic
1001C4⋊Dic43C2412yes—
1002C4⋊Dic43C2412yes—
1003C4⋊Dic43C2412yes—
1004C4⋊Dic43C2411yescharacteristic
1005C4⋊Dic43C2412yes—
1006C4⋊Dic43C2412yes—
1007C4⋊Dic43C2414yes—
1008C4⋊Dic43C2412yes—
1009C4⋊Dic43C2412yes—
1010C4⋊Dic43C2411yescharacteristic
1011C4⋊Dic43C2414yes—
1012C4⋊Dic43C2412yes—
1013C4⋊Dic43C2414yes—
1014C4⋊Dic43C2412yes—
1015C4⋊Dic43C2414yes—
1016C4⋊Dic43C2414yes—
1017C4⋊Dic43C2414yes—
1018C4⋊Dic43C2414yes—
1019C4⋊Dic43C2414yes—
1020C4⋊Dic43C2414yes—
1021C4⋊Dic43C2411yescharacteristic
1022C4⋊Dic43C2412yes—
1023C4⋊Dic43C2414yes—
1024C4⋊Dic43C2414yes—
1025C4⋊Dic43C2414yes—
1026Dic43⋊C4C2412yes—
1027Dic43⋊C4C2414yes—
1028Dic43⋊C4C2414yes—
1029Dic43⋊C4C2414yes—
1030Dic43⋊C4C2412yes—
1031Dic43⋊C4C2414yes—
1032Dic43⋊C4C2414yes—
1033Dic43⋊C4C2412yes—
1034Dic43⋊C4C2412yes—
1035Dic43⋊C4C2412yes—
1036Dic43⋊C4C2412yes—
1037Dic43⋊C4C2412yes—
1038Dic43⋊C4C2412yes—
1039Dic43⋊C4C2414yes—
1040Dic43⋊C4C2414yes—
1041Dic43⋊C4C2412yes—
1042Dic43⋊C4C2412yes—
1043Dic43⋊C4C2412yes—
1044Dic43⋊C4C2414yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2414yes—
1047Dic43⋊C4C2414yes—
1048Dic43⋊C4C2414yes—
1049Dic43⋊C4C2414yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2412yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2412yes—
1055Dic43⋊C4C2412yes—
1056Dic43⋊C4C2412yes—
1057Dic43⋊C4C2412yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2414yes—
1060Dic43⋊C4C2414yes—
1061Dic43⋊C4C2414yes—
1062C4×Dic43C2411yescharacteristic
1063C4×Dic43C2411yescharacteristic
1064C4×Dic43C2411yescharacteristic
1065C4×Dic43C2411yescharacteristic
1066C4×Dic43C2411yescharacteristic
1067C4×Dic43C2411yescharacteristic
1068C4×Dic43C2411yescharacteristic
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2412yes—
1075C4×Dic43C2412yes—
1076C4×Dic43C2412yes—
1077C4×Dic43C2412yes—
1078C4×Dic43C2412yes—
1079C4×Dic43C2412yes—
1080C4×Dic43C2412yes—
1081C4×Dic43C2412yes—
1082C4×Dic43C2414yes—
1083C4×Dic43C2414yes—
1084C4×Dic43C2414yes—
1085C4×Dic43C2414yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2414yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2414yes—
1090C4×Dic43C2414yes—
1091C4×Dic43C2414yes—
1092C23×C43C2512yes—
1093C23×C43C2512yes—
1094C23×C43C2511yescharacteristic
1095C22×D43—22no—
1096C22×D43—22no—
1097C22×D43—24no—
1098C22×D43—41no—
1099C22×D43—42no—
1100C22×D43—42no—
1101C22×D43C2511yescharacteristic
1102C22×D43C2512yes—
1103C22×D43C2512yes—
1104C22×D43C2511yescharacteristic
1105Q8×C43—22no—
1106Q8×C43—24no—
1107Q8×C43—22no—
1108Q8×C43—24no—
1109Q8×C43—44no—
1110Q8×C43—44no—
1111D4×C43—24no—
1112D4×C43—24no—
1113D4×C43—22no—
1114D4×C43—22no—
1115D4×C43—44no—
1116C2×C4×C43—22no—
1117C2×C4×C43—22no—
1118C2×C4×C43—24no—
1119C2×C4×C43—22no—
1120C2×C4×C43—24no—
1121C2×C4×C43—44no—
1122C2×C4×C43—44no—
1123C2×C4×C43—44no—
1124C2×C4×C43C2512yes—
1125C2×C4×C43C2512yes—
1126C2×C4×C43C2514yes—
1127C2×C4×C43C2512yes—
1128C2×C4×C43C2514yes—
1129C2×C4×C43C2511yescharacteristic
1130C2×C4×C43C2511yescharacteristic
1131C2×C4×C43C2512yes—
1132C2×C4×C43C2511yescharacteristic
1133C2×C4×C43C2511yescharacteristic
1134C2×C4×C43C2512yes—
1135C2×C4×C43C2512yes—
1136C2×C4×C43C2511yescharacteristic
1137C2×C4×C43C2511yescharacteristic
1138C22⋊D43—24no—
1139C22⋊D43—24no—
1140C22⋊D43—24no—
1141C22⋊D43—24no—
1142C22⋊D43—24no—
1143C22⋊D43—42no—
1144C22⋊D43—42no—
1145C22⋊D43—44no—
1146C22⋊D43—44no—
1147C22⋊D43—42no—
1148C2×Dic43—28no—
1149C2×Dic43—22no—
1150C2×Dic43—22no—
1151C2×Dic43—42no—
1152C2×Dic43—41no—
1153C2×Dic43—42no—
1154C2×Dic43—44no—
1155C2×Dic43—42no—
1156C2×Dic43—44no—
1157C2×Dic43C2511yescharacteristic
1158C2×Dic43C2511yescharacteristic
1159C2×Dic43C2511yescharacteristic
1160C2×Dic43C2511yescharacteristic
1161C2×Dic43C2512yes—
1162C2×Dic43C2512yes—
1163C2×Dic43C2514yes—
1164C2×Dic43C2512yes—
1165C2×Dic43C2512yes—
1166C2×Dic43C2512yes—
1167C2×Dic43C2511yescharacteristic
1168C2×Dic43C2512yes—
1169C2×Dic43C2514yes—
1170C2×Dic43C2511yescharacteristic
1171D172—24no—
1172D172—22no—
1173D172—22no—
1174D172—42no—
1175D172—44no—
1176D172—42no—
1177C4×D43—22no—
1178C4×D43—24no—
1179C4×D43—22no—
1180C4×D43—24no—
1181C4×D43—22no—
1182C4×D43—22no—
1183C4×D43—24no—
1184C4×D43—22no—
1185C4×D43—42no—
1186C4×D43—41no—
1187C4×D43—41no—
1188C4×D43—42no—
1189C4×D43—41no—
1190C4×D43—41no—
1191C4×D43—41no—
1192C4×D43—41no—
1193C4×D43—42no—
1194C4×D43—44no—
1195C4×D43—44no—
1196C4×D43—42no—
1197C4×D43—44no—
1198C4×D43—44no—
1199C4×D43—42no—
1200C4×D432−1+414yes—
1201Dic86—22no—
1202Dic86—22no—
1203Dic86—24no—
1204Dic86—24no—
1205Dic86—42no—
1206Dic86—44no—
1207Dic86—42no—
1208Dic86—44no—
1209Dic86—44no—
1210Dic86—42no—
1211Dic86—44no—
1212#62831—431nomaximal, Sylow
1213C22×C43—21no—
1214C22×C43—21no—
1215C22×C43—22no—
1216C22×C43—22no—
1217C22×C43—22no—
1218C22×C43—22no—
1219C22×C43—22no—
1220C22×C43—22no—
1221C22×C43#58512yes—
1222C22×C43C2611yescharacteristic
1223C2×D43—21no—
1224C2×D43—21no—
1225C2×D43—21no—
1226C2×D43—22no—
1227C2×D43—22no—
1228C2×D43—21no—
1229C2×D43—22no—
1230C2×D43—21no—
1231C2×D43—22no—
1232C2×D43—22no—
1233C2×D43—22no—
1234C2×D43—44no—
1235C2×D43—84no—
1236C2×D43C2×2−1+412yes—
1237C4×C43—22no—
1238C4×C43—22no—
1239C4×C43—21no—
1240C4×C43—21no—
1241C4×C43—21no—
1242C4×C43—22no—
1243C4×C43—22no—
1244C4×C43—24no—
1245C4×C43—22no—
1246C4×C43—21no—
1247C4×C43—24no—
1248C4×C43—22no—
1249C4×C43C2×2−1+412yes—
1250C4×C43#58512yes—
1251Dic43—22no—
1252Dic43—22no—
1253Dic43—21no—
1254Dic43—22no—
1255Dic43—24no—
1256Dic43—22no—
1257Dic43—22no—
1258Dic43—24no—
1259Dic43—21no—
1260Dic43—22no—
1261Dic43—21no—
1262Dic43—21no—
1263Dic43—21no—
1264Dic43C2×2−1+412yes—
1265#3565—432no—
1266#3565—432no—
1267#3564—434no—
1268#3557—434no—
1269#3555—432no—
1270#3554—432no—
1271#3552—431no—
1272#3552D4311yescharacteristic, complemented
1273#3544—431no—
1274#3544—431no—
1275#3535—434no—
1276#3523—432no—
1277#3522—432no—
1278#3520—432no—
1279#3520—432no—
1280#3518—431no—
1281#3518—431no—
1282#3515—431no—
1283#3515—432no—
1284#3515—432no—
1285#3515—431no—
1286#3510—432no—
1287#3507—431no—
1288#3507—434no—
1289#3506—431no—
1290#3504—432no—
1291#3502—431no—
1292#3501—431no—
1293#3495—432no—
1294#3495—432no—
1295#3495—432no—
1296#3494—432no—
1297#3444—431no—
1298C2×#533—431no—
1299C2×#529—431no—
1300C2×C43—22no—
1301C2×C43—42no—
1302C2×C43—42no—
1303C2×C43C22×2−1+411yescharacteristic
1304C2×C43C2×#58511yescharacteristic
1305C2×C43C2×#58511yescharacteristic
1306D43—22no—
1307D43—42no—
1308D43—41no—
1309D43—42no—
1310#563—434no—
1311#563—434no—
1312#563—434no—
1313#563—434no—
1314#563—434no—
1315#563C2×D4314yescomplemented
1316#562—434no—
1317#562—434no—
1318#559—432no—
1319#559—434no—
1320#559—434no—
1321#559—434no—
1322Q82—431no—
1323Q82—431no—
1324Q82—432no—
1325#557—431no—
1326#557—432no—
1327#557—434no—
1328#557—434no—
1329#557—432no—
1330#557—434no—
1331#557—432no—
1332#557—432no—
1333#557C2×D4311yescharacteristic, complemented
1334#556—432no—
1335#556—431no—
1336#556—434no—
1337#556—434no—
1338#556—434no—
1339#556—434no—
1340#556—434no—
1341#556—432no—
1342#556—432no—
1343#556—434no—
1344#556—434no—
1345#556—432no—
1346#556—432no—
1347#556C2×D4311yescharacteristic, complemented
1348#555—432no—
1349#555—431no—
1350#555—431no—
1351#555—432no—
1352#554—434no—
1353#554—432no—
1354#554—434no—
1355#554—434no—
1356#554—434no—
1357#554—434no—
1358#554—434no—
1359#554—432no—
1360#554—434no—
1361#554—431no—
1362#554—431no—
1363#554—431no—
1364#554—431no—
1365#554—432no—
1366#554—432no—
1367#554C2×D4312yescomplemented
1368#553—432no—
1369#553—432no—
1370#553—432no—
1371#553—432no—
1372#553—432no—
1373#553C2×D4312yes—
1374#552—434no—
1375#552—434no—
1376#552—434no—
1377#552—434no—
1378#552—434no—
1379#552—434no—
1380#552—434no—
1381#552—434no—
1382#552—434no—
1383#552—432no—
1384#552—434no—
1385#552—432no—
1386#552—432no—
1387#552—434no—
1388#552—432no—
1389#552—432no—
1390#552—432no—
1391#552—432no—
1392#552—434no—
1393#552—432no—
1394#552—432no—
1395#552—432no—
1396#551—434no—
1397#551—434no—
1398#551—434no—
1399#551—434no—
1400#551—434no—
1401#551—434no—
1402#551—434no—
1403#551—434no—
1404#550—432no—
1405D4×Q8—432no—
1406D4×Q8—432no—
1407D4×Q8—431no—
1408D4×Q8C2×D4311yescharacteristic, complemented
1409D4×Q8C2×D4312yescomplemented
1410#548—432no—
1411#548—432no—
1412#548—432no—
1413#548C2×D4312yescomplemented
1414#547—432no—
1415#547—431no—
1416#547—432no—
1417#547—432no—
1418#547—434no—
1419#547—432no—
1420#547—432no—
1421#547—434no—
1422#547—432no—
1423#547C2×D4311yescharacteristic, complemented
1424#546—434no—
1425#546—434no—
1426#544—432no—
1427#544—432no—
1428#544—432no—
1429#544—432no—
1430#544—434no—
1431#544—432no—
1432#544—432no—
1433#544—432no—
1434#544C2×D4312yescomplemented
1435#543—434no—
1436#542—432no—
1437#542—434no—
1438#542—434no—
1439#542—434no—
1440#542—432no—
1441#542—432no—
1442#542—432no—
1443#542—434no—
1444#542—434no—
1445#542—432no—
1446#542—434no—
1447#542—434no—
1448#542—434no—
1449#542—432no—
1450#542—432no—
1451#542C2×D4312yescomplemented
1452#541—432no—
1453#541—432no—
1454#541—434no—
1455#541—434no—
1456#541—434no—
1457#541—434no—
1458#541—432no—
1459#541—434no—
1460#541C2×D4312yescomplemented
1461#540—434no—
1462#539—434no—
1463#539—434no—
1464#539—434no—
1465#539—434no—
1466#539—434no—
1467#539—434no—
1468#539—434no—
1469#539—434no—
1470#539—434no—
1471#539—434no—
1472#539C2×D4314yescomplemented
1473#538—434no—
1474#536—432no—
1475#536—434no—
1476#536—434no—
1477#536—432no—
1478#536C2×D4312yescomplemented
1479#535—432no—
1480#533—432no—
1481#533—431no—
1482#533—431no—
1483#533—432no—
1484#533—432no—
1485#533—431no—
1486#533—431no—
1487#533—432no—
1488#533—432no—
1489#533—432no—
1490#533—432no—
1491#533—432no—
1492#533—431no—
1493#533—431no—
1494#533—434no—
1495#533—431no—
1496#533—432no—
1497#533—432no—
1498#532—431no—
1499#532—431no—
1500#532—434no—
1501#532—431no—
1502C2×C4⋊Q8—431no—
1503C2×C4⋊Q8C2×D4311yescharacteristic, complemented
1504#529—432no—
1505#529—432no—
1506#529—432no—
1507#529—431no—
1508#529—431no—
1509#529—431no—
1510#529—431no—
1511#529—432no—
1512#529—432no—
1513#529—432no—
1514#529—431no—
1515#529—432no—
1516#529—431no—
1517#529—432no—
1518#529—431no—
1519#529—432no—
1520#529—432no—
1521#529—432no—
1522#529—431no—
1523#529—434no—
1524#529—434no—
1525#529—432no—
1526#529—432no—
1527#529—432no—
1528#529—431no—
1529#529—431no—
1530#529C2×D4311yescharacteristic
1531#529C2×D4311yescharacteristic, complemented
1532C2×#126—432no—
1533C2×#125—431no—
1534C2×#125—432no—
1535C2×#125—432no—
1536C2×#125—432no—
1537C2×#124—431no—
1538#525—432no—
1539#525—432no—
1540#525—431no—
1541#525—432no—
1542#525—431no—
1543#525—432no—
1544C2×#123—432no—
1545C2×C22⋊Q8—432no—
1546C2×C22⋊Q8—432no—
1547C2×C22⋊Q8—431no—
1548C2×C22⋊Q8—432no—
1549C2×C22⋊Q8—432no—
1550C2×#121—431no—
1551#520—432no—
1552#520—432no—
1553#520—434no—
1554#520—434no—
1555#520—432no—
1556#520—432no—
1557#519—432no—
1558#519—432no—
1559#519—432no—
1560#518—432no—
1561C4×#41—431no—
1562C4×#41—432no—
1563C4×#41—431no—
1564C4×#41—432no—
1565C2×C4×Q8—432no—
1566C2×C4×Q8—431no—
1567C2×C4×Q8—432no—
1568C2×C4×D4—431no—
1569C2×C4×D4—432no—
1570C2×#117—432no—
1571C2×#117—432no—
1572C22×C42—431no—
1573C43#6283111yescharacteristic, complemented, Sylow
1574C2×#41—431no—
1575C2×#41—432no—
1576C2×#41—432no—
1577C2×#41—431no—
1578C2×#41—434no—
1579C2×#41—434no—
1580C2×#41—432no—
1581C2×#41C22×D4312yes—
1582C22×Q8—431no—
1583C22×Q8—432no—
1584C22×Q8—432no—
1585C22×Q8C22×D4312yes—
1586C22×Q8C22×D4312yes—
1587C22×D4—431no—
1588C22×D4—432no—
1589C23×C4—431no—
1590C23×C4—432no—
1591C23×C4—431no—
1592C23×C4—431no—
1593C4⋊Q8—431no—
1594C4⋊Q8—432no—
1595C4⋊Q8—434no—
1596C4⋊Q8—434no—
1597C4⋊Q8—431no—
1598C4⋊Q8—431no—
1599C4⋊Q8—434no—
1600C4⋊Q8—434no—
1601C4⋊Q8—432no—
1602C4⋊Q8—432no—
1603C4⋊Q8—432no—
1604C4⋊Q8—434no—
1605C4⋊Q8—434no—
1606C4⋊Q8—434no—
1607C4⋊Q8—434no—
1608C4⋊Q8—434no—
1609C4⋊Q8—432no—
1610C4⋊Q8—432no—
1611C4⋊Q8—431no—
1612C4⋊Q8—431no—
1613C4⋊Q8—432no—
1614C4⋊Q8—432no—
1615C4⋊Q8—432no—
1616C4⋊Q8—434no—
1617C4⋊Q8C22×D4312yes—
1618C4⋊Q8C22×D4312yes—
1619C4⋊Q8C22×D4311yescharacteristic
1620C4⋊Q8C22×D4311yescharacteristic
1621C4⋊Q8C22×D4312yes—
1622C4⋊Q8C22×D4312yes—
1623C4⋊Q8C22×D4312yes—
1624C4⋊Q8C22×D4314yes—
1625#127—431no—
1626#127—434no—
1627#126—432no—
1628#126—432no—
1629#126—432no—
1630#126—432no—
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—434no—
1644#126—434no—
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—432no—
1658#126—432no—
1659#126—434no—
1660#126C22×D4312yes—
1661#126C22×D4312yes—
1662#126C22×D4314yes—
1663#126C22×D4314yes—
1664#126C22×D4314yes—
1665#125—431no—
1666#125—432no—
1667#125—431no—
1668#125—432no—
1669#125—432no—
1670#125—432no—
1671#125—434no—
1672#125—434no—
1673#125—432no—
1674#125—432no—
1675#125—434no—
1676#125—434no—
1677#125—434no—
1678#125—434no—
1679#125—432no—
1680#125—432no—
1681#125—432no—
1682#125—432no—
1683#125—434no—
1684#125—432no—
1685#125—434no—
1686#125—434no—
1687#125—434no—
1688#125—434no—
1689#125—434no—
1690#125—434no—
1691#125—434no—
1692#125—434no—
1693#125—434no—
1694#125—434no—
1695#125—434no—
1696#125—434no—
1697#125—434no—
1698#125—434no—
1699#125—434no—
1700#125—431no—
1701#125—432no—
1702#125—431no—
1703#125—432no—
1704#125—434no—
1705#125C22×D4311yescharacteristic
1706#125C22×D4312yes—
1707#125C22×D4311yescharacteristic
1708#125C22×D4314yes—
1709#125C22×D4314yes—
1710#125C22×D4314yes—
1711#124—431no—
1712#124—432no—
1713#124—434no—
1714#124—434no—
1715#124—431no—
1716#124—432no—
1717#124—432no—
1718#124—432no—
1719#124—432no—
1720#124—434no—
1721#124—434no—
1722#124—434no—
1723#124—434no—
1724#124—434no—
1725#124—434no—
1726#124—434no—
1727#124—434no—
1728#124—434no—
1729#124—434no—
1730#124—431no—
1731#124—431no—
1732#124—434no—
1733#124C22×D4311yescharacteristic
1734#124C22×D4311yescharacteristic
1735#124C22×D4312yes—
1736#124C22×D4314yes—
1737#123—432no—
1738#123—434no—
1739#123—434no—
1740#123—434no—
1741#123—434no—
1742#123—432no—
1743#123—432no—
1744#123—434no—
1745#123—432no—
1746#123—432no—
1747#123—432no—
1748#123—432no—
1749#123—434no—
1750#123—434no—
1751#123—434no—
1752#123—434no—
1753#123—434no—
1754#123—434no—
1755#123—434no—
1756#123—434no—
1757#123—432no—
1758#123—432no—
1759#123—432no—
1760#123—432no—
1761#123—432no—
1762#123—434no—
1763#123—434no—
1764#123—434no—
1765#123—434no—
1766#123—434no—
1767#123—434no—
1768#123—434no—
1769#123—434no—
1770#123—434no—
1771#123—434no—
1772#123—434no—
1773#123—434no—
1774#123C22×D4312yes—
1775#123C22×D4312yes—
1776#123C22×D4314yes—
1777#123C22×D4314yes—
1778#123C22×D4314yes—
1779C22⋊Q8—432no—
1780C22⋊Q8—431no—
1781C22⋊Q8—432no—
1782C22⋊Q8—431no—
1783C22⋊Q8—434no—
1784C22⋊Q8—432no—
1785C22⋊Q8—432no—
1786C22⋊Q8—434no—
1787C22⋊Q8—434no—
1788C22⋊Q8—432no—
1789C22⋊Q8—432no—
1790C22⋊Q8—434no—
1791C22⋊Q8—432no—
1792C22⋊Q8—432no—
1793C22⋊Q8—434no—
1794C22⋊Q8—434no—
1795C22⋊Q8—434no—
1796C22⋊Q8—434no—
1797C22⋊Q8—431no—
1798C22⋊Q8—432no—
1799C22⋊Q8—431no—
1800C22⋊Q8—432no—
1801C22⋊Q8—434no—
1802C22⋊Q8—434no—
1803C22⋊Q8—431no—
1804C22⋊Q8—432no—
1805C22⋊Q8—431no—
1806C22⋊Q8—432no—
1807C22⋊Q8—432no—
1808C22⋊Q8—432no—
1809C22⋊Q8—432no—
1810C22⋊Q8—434no—
1811C22⋊Q8—434no—
1812C22⋊Q8—434no—
1813C22⋊Q8—432no—
1814C22⋊Q8—432no—
1815C22⋊Q8—432no—
1816C22⋊Q8—432no—
1817C22⋊Q8—434no—
1818C22⋊Q8—434no—
1819C22⋊Q8—434no—
1820C22⋊Q8—434no—
1821C22⋊Q8—434no—
1822C22⋊Q8—434no—
1823C22⋊Q8—434no—
1824C22⋊Q8—434no—
1825C22⋊Q8—434no—
1826C22⋊Q8—434no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—432no—
1831C22⋊Q8—434no—
1832C22⋊Q8—432no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—434no—
1837C22⋊Q8—434no—
1838C22⋊Q8—434no—
1839C22⋊Q8—434no—
1840C22⋊Q8—434no—
1841C22⋊Q8—434no—
1842C22⋊Q8C22×D4311yescharacteristic
1843C22⋊Q8C22×D4312yes—
1844C22⋊Q8C22×D4311yescharacteristic
1845C22⋊Q8C22×D4312yes—
1846C22⋊Q8C22×D4312yes—
1847C22⋊Q8C22×D4314yes—
1848C22⋊Q8C22×D4314yes—
1849C22⋊Q8C22×D4314yes—
1850C22⋊Q8C22×D4314yes—
1851C22⋊Q8C22×D4314yes—
1852C22⋊Q8C22×D4314yes—
1853#121—432no—
1854#121—431no—
1855#121—431no—
1856#121—432no—
1857#121—432no—
1858#121—432no—
1859#121—434no—
1860#121—434no—
1861#121—431no—
1862#121—431no—
1863#121—432no—
1864#121—432no—
1865#121—434no—
1866#121—434no—
1867#121—434no—
1868#121—431no—
1869#121—431no—
1870#121—432no—
1871#121—434no—
1872#121—432no—
1873#121—432no—
1874#121—432no—
1875#121—432no—
1876#121—434no—
1877#121C22×D4311yescharacteristic
1878#121C22×D4311yescharacteristic
1879#121C22×D4312yes—
1880#121C22×D4314yes—
1881#120—432no—
1882#120—434no—
1883#120—432no—
1884#120—434no—
1885C4×Q8—432no—
1886C4×Q8—432no—
1887C4×Q8—431no—
1888C4×Q8—434no—
1889C4×Q8—432no—
1890C4×Q8—432no—
1891C4×Q8—434no—
1892C4×Q8—431no—
1893C4×Q8—432no—
1894C4×Q8—432no—
1895C4×Q8—434no—
1896C4×Q8—432no—
1897C4×Q8—434no—
1898C4×Q8—432no—
1899C4×Q8—431no—
1900C4×Q8—432no—
1901C4×Q8—432no—
1902C4×Q8—434no—
1903C4×Q8—432no—
1904C4×Q8—434no—
1905C4×Q8—432no—
1906C4×Q8—432no—
1907C4×Q8—431no—
1908C4×Q8—432no—
1909C4×Q8—432no—
1910C4×Q8—432no—
1911C4×Q8—432no—
1912C4×Q8—434no—
1913C4×Q8—434no—
1914C4×Q8—434no—
1915C4×Q8—434no—
1916C4×Q8—434no—
1917C4×Q8—431no—
1918C4×Q8—432no—
1919C4×Q8—431no—
1920C4×Q8—432no—
1921C4×Q8—434no—
1922C4×Q8—432no—
1923C4×Q8—432no—
1924C4×Q8—434no—
1925C4×Q8—434no—
1926C4×Q8—434no—
1927C4×Q8—434no—
1928C4×Q8C22×D4311yescharacteristic
1929C4×Q8C22×D4311yescharacteristic
1930C4×Q8C22×D4312yes—
1931C4×Q8C22×D4312yes—
1932C4×Q8C22×D4312yes—
1933C4×D4—432no—
1934C4×D4—431no—
1935C4×D4—432no—
1936C4×D4—431no—
1937C4×D4—432no—
1938C4×D4—434no—
1939C4×D4—432no—
1940C4×D4—434no—
1941C4×D4—432no—
1942C4×D4—432no—
1943C4×D4—432no—
1944C4×D4—432no—
1945C4×D4—432no—
1946C4×D4—432no—
1947C4×D4—434no—
1948C4×D4—434no—
1949C4×D4—434no—
1950C4×D4—434no—
1951C4×D4—434no—
1952C4×D4—434no—
1953C4×D4—434no—
1954C4×D4—432no—
1955C4×D4—431no—
1956C4×D4—431no—
1957C4×D4—432no—
1958C4×D4—432no—
1959C4×D4—432no—
1960C4×D4—432no—
1961C4×D4—434no—
1962C4×D4—434no—
1963C4×D4—432no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—432no—
1968C4×D4—432no—
1969C4×D4—432no—
1970C4×D4—432no—
1971C4×D4—432no—
1972C4×D4—432no—
1973C4×D4—434no—
1974C4×D4—434no—
1975C4×D4—434no—
1976C4×D4—434no—
1977C4×D4—434no—
1978C4×D4—432no—
1979C4×D4—431no—
1980C4×D4—432no—
1981C4×D4—431no—
1982C4×D4—432no—
1983C4×D4—434no—
1984C4×D4—434no—
1985C4×D4—432no—
1986C4×D4C22×D4312yes—
1987C4×D4C22×D4311yescharacteristic
1988C4×D4C22×D4312yes—
1989C4×D4C22×D4311yescharacteristic
1990C4×D4C22×D4312yes—
1991C4×D4C22×D4314yes—
1992C4×D4C22×D4314yes—
1993#117—432no—
1994#117—432no—
1995#117—434no—
1996#117—434no—
1997#117—434no—
1998#117—432no—
1999#117—432no—
2000#117—432no—
2001#117—432no—
2002#117—432no—
2003#117—434no—
2004#117—434no—
2005#117—432no—
2006#117—432no—
2007#117—431no—
2008#117—431no—
2009#117—432no—
2010#117—432no—
2011#117—432no—
2012#117—434no—
2013#117—434no—
2014#117—432no—
2015#117—432no—
2016#117—432no—
2017#117—432no—
2018#117—432no—
2019#117—432no—
2020#117—432no—
2021#117—434no—
2022#117—434no—
2023#117—434no—
2024#117—434no—
2025#117—432no—
2026#117—432no—
2027#117—432no—
2028#117—432no—
2029#117—434no—
2030#117—434no—
2031#117—434no—
2032#117—434no—
2033#117—434no—
2034#117C22×D4312yes—
2035#117C22×D4312yes—
2036#117C22×D4312yes—
2037C2×C4⋊C4—432no—
2038C2×C4⋊C4—434no—
2039C2×C4⋊C4—434no—
2040C2×C4⋊C4—432no—
2041C2×C4⋊C4—434no—
2042C2×C4⋊C4—432no—
2043C2×C4⋊C4—434no—
2044C2×C4⋊C4—434no—
2045C2×C4⋊C4—432no—
2046C2×C4⋊C4—432no—
2047C2×C4⋊C4—432no—
2048C2×C4⋊C4—431no—
2049C2×C4⋊C4—432no—
2050C2×C4⋊C4—431no—
2051C2×C4⋊C4—432no—
2052C2×C4⋊C4—434no—
2053C2×C4⋊C4—432no—
2054C2×C4⋊C4—434no—
2055C2×C4⋊C4—434no—
2056C2×C4⋊C4—432no—
2057C2×C4⋊C4—432no—
2058C2×C4⋊C4C22×D4312yes—
2059C2×C4⋊C4C22×D4312yes—
2060C2×C4⋊C4C22×D4312yes—
2061C2×C22⋊C4—434no—
2062C2×C22⋊C4—434no—
2063C2×C22⋊C4—432no—
2064C2×C22⋊C4—432no—
2065C2×C22⋊C4—432no—
2066C2×C22⋊C4—432no—
2067C2×C22⋊C4—432no—
2068C2×C22⋊C4—434no—
2069C2×C42—434no—
2070C2×C42—431no—
2071C2×C42—431no—
2072C2×C42—432no—
2073C2×C42—431no—
2074C2×C42—431no—
2075C2×C42—432no—
2076C2×C42—431no—
2077C2×C42—432no—
2078C2×C42—431no—
2079C2×C42—431no—
2080C2×C42—431no—
2081C2×C42—431no—
2082C2×C42—431no—
2083C2×C42—431no—
2084C2×C42C22×D4311yescharacteristic
2085C24—431no—
2086C24—432no—
2087#41—44no—
2088#41—868no—
2089#41—1724no—
2090#41—1728no—
2091#41—1728no—
2092#41—1722no—
2093#41—1724no—
2094#41—1722no—
2095C2×Q8—44no—
2096C2×Q8—44no—
2097C2×Q8—431no—
2098C2×Q8—432no—
2099C2×Q8—432no—
2100C2×Q8—431no—
2101C2×Q8—432no—
2102C2×Q8—434no—
2103C2×Q8—434no—
2104C2×Q8—432no—
2105C2×Q8—434no—
2106C2×Q8—434no—
2107C2×Q8—432no—
2108C2×Q8—864no—
2109C2×Q8—1724no—
2110C2×Q8—1724no—
2111C2×Q8C23×D4311yescharacteristic
2112C2×Q8C23×D4312yes—
2113C2×Q8C23×D4311yescharacteristic
2114C2×Q8C23×D4312yes—
2115C2×Q8C23×D4314yes—
2116C2×Q8C23×D4314yes—
2117C2×D4—432no—
2118C2×D4—432no—
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—431no—
2129C2×D4—431no—
2130C2×D4—432no—
2131C2×D4—434no—
2132C2×D4—432no—
2133C2×D4—864no—
2134C2×D4—1724no—
2135C2×D4C23×D4311yescharacteristic
2136C2×D4C23×D4311yescharacteristic
2137C2×D4C23×D4312yes—
2138C2×D4C23×D4312yes—
2139C2×D4C23×D4314yes—
2140C22×C4—431no—
2141C22×C4—431no—
2142C22×C4—431no—
2143C22×C4—434no—
2144C22×C4—431no—
2145C22×C4—432no—
2146C22×C4—432no—
2147C22×C4—434no—
2148C22×C4—434no—
2149C22×C4—432no—
2150C22×C4—431no—
2151C22×C4—431no—
2152C22×C4—431no—
2153C22×C4—431no—
2154C22×C4—431no—
2155C22×C4—432no—
2156C22×C4—432no—
2157C22×C4—432no—
2158C22×C4—431no—
2159C22×C4—431no—
2160C22×C4—431no—
2161C22×C4—431no—
2162C22×C4—431no—
2163C22×C4—431no—
2164C22×C4—432no—
2165C22×C4—432no—
2166C22×C4—432no—
2167C22×C4—432no—
2168C22×C4—434no—
2169C22×C4—434no—
2170C22×C4—434no—
2171C22×C4—434no—
2172C22×C4—432no—
2173C22×C4—864no—
2174C22×C4—1722no—
2175C22×C4—1724no—
2176C22×C4—1722no—
2177C22×C4C23×D4311yescharacteristic
2178C22×C4C23×D4311yescharacteristic
2179C22×C4C23×D4311yescharacteristic
2180C22×C4C23×D4312yes—
2181C22×C4C23×D4312yes—
2182C22×C4C23×D4314yes—
2183C22×C4C23×D4314yes—
2184C22×C4C23×D4314yes—
2185C4⋊C4—432no—
2186C4⋊C4—431no—
2187C4⋊C4—431no—
2188C4⋊C4—434no—
2189C4⋊C4—434no—
2190C4⋊C4—432no—
2191C4⋊C4—432no—
2192C4⋊C4—432no—
2193C4⋊C4—432no—
2194C4⋊C4—434no—
2195C4⋊C4—432no—
2196C4⋊C4—431no—
2197C4⋊C4—432no—
2198C4⋊C4—432no—
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—434no—
2208C4⋊C4—432no—
2209C4⋊C4—432no—
2210C4⋊C4—434no—
2211C4⋊C4—432no—
2212C4⋊C4—432no—
2213C4⋊C4—434no—
2214C4⋊C4—434no—
2215C4⋊C4—432no—
2216C4⋊C4—434no—
2217C4⋊C4—434no—
2218C4⋊C4—434no—
2219C4⋊C4—434no—
2220C4⋊C4—434no—
2221C4⋊C4—434no—
2222C4⋊C4—434no—
2223C4⋊C4—434no—
2224C4⋊C4—434no—
2225C4⋊C4—432no—
2226C4⋊C4—432no—
2227C4⋊C4—432no—
2228C4⋊C4—431no—
2229C4⋊C4—432no—
2230C4⋊C4—432no—
2231C4⋊C4—434no—
2232C4⋊C4—434no—
2233C4⋊C4—432no—
2234C4⋊C4—432no—
2235C4⋊C4—432no—
2236C4⋊C4—432no—
2237C4⋊C4—432no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—432no—
2241C4⋊C4—434no—
2242C4⋊C4—434no—
2243C4⋊C4—434no—
2244C4⋊C4—434no—
2245C4⋊C4—434no—
2246C4⋊C4—434no—
2247C4⋊C4C23×D4311yescharacteristic
2248C4⋊C4C23×D4311yescharacteristic
2249C4⋊C4C23×D4311yescharacteristic
2250C4⋊C4C23×D4312yes—
2251C4⋊C4C23×D4312yes—
2252C4⋊C4C23×D4312yes—
2253C4⋊C4C23×D4312yes—
2254C4⋊C4C23×D4314yes—
2255C4⋊C4C23×D4314yes—
2256C4⋊C4C23×D4314yes—
2257C4⋊C4C23×D4312yes—
2258C4⋊C4C23×D4312yes—
2259C4⋊C4C23×D4314yes—
2260C4⋊C4C23×D4314yes—
2261C4⋊C4C23×D4312yes—
2262C4⋊C4C23×D4314yes—
2263C4⋊C4C23×D4312yes—
2264C4⋊C4C23×D4311yescharacteristic
2265C4⋊C4C23×D4312yes—
2266C4⋊C4C23×D4312yes—
2267C4⋊C4C23×D4314yes—
2268C4⋊C4C23×D4314yes—
2269C4⋊C4C23×D4312yes—
2270C4⋊C4C23×D4312yes—
2271C22⋊C4—432no—
2272C22⋊C4—432no—
2273C22⋊C4—432no—
2274C22⋊C4—432no—
2275C22⋊C4—432no—
2276C22⋊C4—434no—
2277C22⋊C4—432no—
2278C22⋊C4—432no—
2279C22⋊C4—432no—
2280C22⋊C4—434no—
2281C22⋊C4—434no—
2282C22⋊C4—434no—
2283C22⋊C4—434no—
2284C22⋊C4—432no—
2285C22⋊C4—432no—
2286C22⋊C4—434no—
2287C22⋊C4—432no—
2288C22⋊C4—432no—
2289C22⋊C4—432no—
2290C22⋊C4—434no—
2291C22⋊C4—434no—
2292C22⋊C4—432no—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—434no—
2296C22⋊C4—434no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—432no—
2301C22⋊C4—432no—
2302C22⋊C4—432no—
2303C22⋊C4—434no—
2304C22⋊C4—434no—
2305C22⋊C4—432no—
2306C22⋊C4—432no—
2307C22⋊C4—434no—
2308C22⋊C4—434no—
2309C22⋊C4—432no—
2310C22⋊C4—432no—
2311C22⋊C4—432no—
2312C22⋊C4—432no—
2313C22⋊C4—434no—
2314C22⋊C4—434no—
2315C22⋊C4C23×D4312yes—
2316C22⋊C4C23×D4312yes—
2317C22⋊C4C23×D4312yes—
2318C22⋊C4C23×D4314yes—
2319C22⋊C4C23×D4312yes—
2320C22⋊C4C23×D4312yes—
2321C22⋊C4C23×D4312yes—
2322C22⋊C4C23×D4314yes—
2323C22⋊C4C23×D4312yes—
2324C22⋊C4C23×D4312yes—
2325C22⋊C4C23×D4314yes—
2326C22⋊C4C23×D4314yes—
2327C22⋊C4C23×D4312yes—
2328C22⋊C4C23×D4312yes—
2329C42—431no—
2330C42—431no—
2331C42—431no—
2332C42—431no—
2333C42—431no—
2334C42—431no—
2335C42—431no—
2336C42—431no—
2337C42—431no—
2338C42—431no—
2339C42—431no—
2340C42—431no—
2341C42—434no—
2342C42—432no—
2343C42—432no—
2344C42—432no—
2345C42—432no—
2346C42—432no—
2347C42—432no—
2348C42—434no—
2349C42—432no—
2350C42—434no—
2351C42—432no—
2352C42—434no—
2353C42—434no—
2354C42—434no—
2355C42—434no—
2356C42—434no—
2357C42—434no—
2358C42—434no—
2359C42C23×D4311yescharacteristic
2360C42C23×D4311yescharacteristic
2361C42C23×D4311yescharacteristic
2362C42C23×D4311yescharacteristic
2363C42C23×D4312yes—
2364C42C23×D4312yes—
2365C42C23×D4314yes—
2366C42C23×D4314yes—
2367C23—431no—
2368C23—431no—
2369C23—432no—
2370C23—432no—
2371C23—864no—
2372C23—862no—
2373C23—862no—
2374C23—1722no—
2375C23—1722no—
2376C23—1721no—
2377C23C24×D4312yes—
2378C23C24×D4312yes—
2379C23C24×D4311yescharacteristic
2380Q8—22no—
2381Q8—24no—
2382Q8—22no—
2383Q8—24no—
2384Q8—44no—
2385Q8—44no—
2386Q8—864no—
2387Q8—864no—
2388Q8—862no—
2389Q8—862no—
2390Q8—1724no—
2391Q8—1722no—
2392Q8—1724no—
2393Q8—1722no—
2394Q8—1724no—
2395Q8—1722no—
2396Q8—1724no—
2397D4—24no—
2398D4—24no—
2399D4—22no—
2400D4—22no—
2401D4—44no—
2402D4—864no—
2403D4—864no—
2404D4—864no—
2405D4—864no—
2406D4—864no—
2407D4—864no—
2408D4—862no—
2409D4—862no—
2410D4—1722no—
2411D4—1724no—
2412D4—1722no—
2413D4—1722no—
2414D4—1722no—
2415D4—1722no—
2416D4—1724no—
2417D4—1724no—
2418C2×C4—22no—
2419C2×C4—22no—
2420C2×C4—24no—
2421C2×C4—22no—
2422C2×C4—24no—
2423C2×C4—44no—
2424C2×C4—44no—
2425C2×C4—44no—
2426C2×C4—431no—
2427C2×C4—434no—
2428C2×C4—431no—
2429C2×C4—431no—
2430C2×C4—431no—
2431C2×C4—431no—
2432C2×C4—432no—
2433C2×C4—432no—
2434C2×C4—434no—
2435C2×C4—432no—
2436C2×C4—432no—
2437C2×C4—431no—
2438C2×C4—432no—
2439C2×C4—432no—
2440C2×C4—434no—
2441C2×C4—862no—
2442C2×C4—862no—
2443C2×C4—864no—
2444C2×C4—862no—
2445C2×C4—862no—
2446C2×C4—868no—
2447C2×C4—862no—
2448C2×C4—864no—
2449C2×C4—862no—
2450C2×C4—864no—
2451C2×C4—862no—
2452C2×C4—1722no—
2453C2×C4—1722no—
2454C2×C4—1721no—
2455C2×C4—1721no—
2456C2×C4—1721no—
2457C2×C4—1721no—
2458C2×C4—1721no—
2459C2×C4—1721no—
2460C2×C4—1722no—
2461C2×C4—1724no—
2462C2×C4—1724no—
2463C2×C4—1722no—
2464C2×C4—1724no—
2465C2×C4—1722no—
2466C2×C4—1724no—
2467C2×C4—1721no—
2468C2×C4—1722no—
2469C2×C4—1722no—
2470C2×C4—1722no—
2471C2×C4—1724no—
2472C2×C4—1724no—
2473C2×C4C24×D4312yes—
2474C2×C4C24×D4312yes—
2475C2×C4C24×D4314yes—
2476C2×C4C24×D4312yes—
2477C2×C4C24×D4314yes—
2478C2×C4C24×D4311yescharacteristic
2479C2×C4C24×D4311yescharacteristic
2480C2×C4C24×D4311yescharacteristic
2481C2×C4C24×D4311yescharacteristic
2482C2×C4C24×D4312yes—
2483C2×C4C24×D4312yes—
2484C2×C4C24×D4312yes—
2485C2×C4C24×D4311yescharacteristic
2486C2×C4C24×D4311yescharacteristic
2487C22—21no—
2488C22—21no—
2489C22—22no—
2490C22—22no—
2491C22—22no—
2492C22—22no—
2493C22—22no—
2494C22—22no—
2495C22—432no—
2496C22—861no—
2497C22—861no—
2498C22—861no—
2499C22—862no—
2500C22—862no—
2501C22—862no—
2502C22—861no—
2503C22—862no—
2504C22—862no—
2505C22—862no—
2506C22—861no—
2507C22—3444no—
2508C22—1724no—
2509C22#1458373612yes—
2510C22C25×D4311yescharacteristic
2511C4—21no—
2512C4—22no—
2513C4—22no—
2514C4—22no—
2515C4—21no—
2516C4—24no—
2517C4—22no—
2518C4—24no—
2519C4—21no—
2520C4—21no—
2521C4—22no—
2522C4—22no—
2523C4—432no—
2524C4—861no—
2525C4—862no—
2526C4—862no—
2527C4—861no—
2528C4—861no—
2529C4—862no—
2530C4—862no—
2531C4—861no—
2532C4—864no—
2533C4—861no—
2534C4—864no—
2535C4—862no—
2536C4—862no—
2537C42−1+4×D4312yes—
2538C4#1458373412yes—
2539C2—22no—
2540C2—42no—
2541C2—42no—
2542C2—862no—
2543C2—1722no—
2544C2—1721no—
2545C2—1722no—
2546C2C2×2−1+4×D4311yescharacteristic
2547C2C2×#1458373411yescharacteristic
2548C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3552C2
hypercenter#3552D43
hypocenterC43#62831
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3552

Complements

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

NH ≅ G/Ntype
1. #19149242C2semidirect
2. #19149236C2semidirect
3. #19149217C2semidirect
4. #19149095C2semidirect
5. #19149072C2semidirect
6. #19149055C2semidirect
7. #19149036C2semidirect
8. #19148935C2semidirect
9. #19148935C2semidirect
10. #19148802C2semidirect
11. #19148682C2semidirect
12. #19148671C2semidirect
13. #19148645C2semidirect
14. #19148637C2semidirect
15. #19148609C2semidirect
16. #19148607C2semidirect
17. #19148574C2semidirect
18. #19148572C2semidirect
19. #19148566C2semidirect
20. #19148564C2semidirect
21. #19148487C2semidirect
22. #19148455C2semidirect
23. #19148450C2semidirect
24. #19148445C2semidirect
25. #19148418C2semidirect
26. #19148399C2semidirect
27. #19148390C2semidirect
28. #19148344C2semidirect
29. #19148343C2semidirect
30. #19148339C2semidirect
31. #19148326C2semidirect
32. #19147889C2semidirect
33. C2×#14583454C2semidirect
34. #529×D43C2semidirect
35. C43×#3552C2semidirect
36. #14583653C22semidirect
37. #14583651C22semidirect
38. #14583651C22semidirect
39. #14583651C22semidirect
40. #14583648C22semidirect
41. #14583646C22semidirect
42. #14583645C22semidirect
43. #14583633C22semidirect
44. #14583633C22semidirect
45. #14583631C22semidirect
46. #14583631C22semidirect
47. Q8×Dic86C22semidirect
48. Q8×Dic86C22semidirect
49. Q8×Dic86C22semidirect
50. #14583628C22semidirect
51. #14583626C22semidirect
52. #14583626C22semidirect
53. #14583626C22semidirect
54. #14583625C22semidirect
55. #14583624C22semidirect
56. #14583624C22semidirect
57. #14583624C22semidirect
58. #14583623C22semidirect
59. #14583623C22semidirect
60. #14583622C22semidirect
61. #14583620C22semidirect
62. #14583620C22semidirect
63. #14583620C22semidirect
64. #14583620C22semidirect
65. #14583620C22semidirect
66. #14583620C22semidirect
67. #14583616C22semidirect
68. #14583616C22semidirect
69. #14583616C22semidirect
70. #14583616C22semidirect
72. #14583614C22semidirect
73. #14583614C22semidirect
76. #14583610C22semidirect
77. #14583609C22semidirect
78. #14583609C22semidirect
79. #14583608C22semidirect
81. #14583607C22semidirect
82. #14583607C22semidirect
83. #14583606C22semidirect
84. #14583606C22semidirect
86. #14583604C22semidirect
88. #14583603C22semidirect
89. #14583603C22semidirect
93. #14583597C22semidirect
94. #14583596C22semidirect
95. #14583591C22semidirect
96. #14583591C22semidirect
97. #14583591C22semidirect
98. #14583591C22semidirect
99. #14583591C22semidirect
100. #14583591C22semidirect
101. #14583590C22semidirect
102. #14583590C22semidirect
103. #14583589C22semidirect
104. #14583589C22semidirect
105. #14583589C22semidirect
106. #14583588C22semidirect
107. #14583587C22semidirect
108. #14583586C22semidirect
109. #14583586C22semidirect
110. #14583586C22semidirect
111. #14583585C22semidirect
112. #14583584C22semidirect
115. #14583581C22semidirect
116. #14583581C22semidirect
125. #14583568C22semidirect
126. #14583564C22semidirect
127. Q8×C22⋊D43C22semidirect
128. Q8×C22⋊D43C22semidirect
129. #14583560C22semidirect
130. #14583560C22semidirect
131. #14583557C22semidirect
133. #14583553C22semidirect
134. #14583553C22semidirect
135. #14583552C22semidirect
136. #14583552C22semidirect
138. #14583549C22semidirect
139. #14583549C22semidirect
140. #14583548C22semidirect
145. #14583529C22semidirect
146. #14583529C22semidirect
147. #14583527C22semidirect
148. #14583527C22semidirect
150. #14583526C22semidirect
152. #14583523C22semidirect
153. #14583523C22semidirect
154. #14583522C22semidirect
155. #14583522C22semidirect
156. #14583522C22semidirect
157. #14583520C22semidirect
158. #14583520C22semidirect
159. #14583519C22semidirect
160. #14583518C22semidirect
161. #14583518C22semidirect
162. #14583518C22semidirect
163. #14583518C22semidirect
165. #14583515C22semidirect
166. #14583513C22semidirect
167. #14583512C22semidirect
168. #14583510C22semidirect
169. #14583510C22semidirect
170. #14583510C22semidirect
171. #14583509C22semidirect
172. #14583509C22semidirect
173. #14583508C22semidirect
174. #14583506C22semidirect
176. #14583498C22semidirect
177. #14583498C22semidirect
178. #14583498C22semidirect
179. #14583497C22semidirect
180. #14583496C22semidirect
181. #14583495C22semidirect
182. #14583494C22semidirect
183. #14583493C22semidirect
184. #14583492C22semidirect
187. #14583474C22semidirect
189. #14583471C22semidirect
190. #14583471C22semidirect
192. #14583455C22semidirect
199. #14583454C22semidirect
200. #14583454C22semidirect
201. #14583454C22semidirect
202. #14583454C22semidirect
203. #14583454C22semidirect
204. #14583454C22semidirect
207. #14583452C22semidirect
208. #14583451C22semidirect
209. #14583451C22semidirect
210. #14583448C22semidirect
213. #14583444C22semidirect
214. C2×#13063325C22semidirect
217. #14583436C22semidirect
219. #14583435C22semidirect
223. #14583433C22semidirect
226. #14583432C22semidirect
228. #14583431C22semidirect
230. #14583430C22semidirect
233. #14583429C22semidirect
238. #14583427C22semidirect
240. #14583426C22semidirect
242. C2×#13063316C22semidirect
243. C2×#13063316C22semidirect
245. #125×D43C22semidirect
260. #14583382C22semidirect
261. #14583381C22semidirect
264. #14583378C22semidirect
265. #14583378C22semidirect
266. #14583377C22semidirect
268. #14583375C22semidirect
270. C4×#10621902C22semidirect
272. C4×#10621900C22semidirect
273. C4×#10621900C22semidirect
274. C2×Q8×Dic43C22semidirect
275. C2×#13063290C22semidirect
282. C43×#563C22semidirect
283. C43×#557C22semidirect
284. C43×#556C22semidirect
285. C43×#554C22semidirect
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
298. C43×#529C22semidirect
1272. #3552D43semidirect
1315. #563C2×D43semidirect
1333. #557C2×D43semidirect
1347. #556C2×D43semidirect
1367. #554C2×D43semidirect
1408. D4×Q8C2×D43semidirect
1409. D4×Q8C2×D43semidirect
1413. #548C2×D43semidirect
1423. #547C2×D43semidirect
1434. #544C2×D43semidirect
1451. #542C2×D43semidirect
1460. #541C2×D43semidirect
1472. #539C2×D43semidirect
1478. #536C2×D43semidirect
1503. C2×C4⋊Q8C2×D43semidirect
1531. #529C2×D43semidirect
1573. C43#62831semidirect

Maximal subgroups

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

subgroupindex
#191492422
#191492362
#191492172
#191490952
#191490722
#191490552
#191490362
#191489352
#191488022
#191486822
#191486712
#191486452
#191486372
#191486092
#191486072
#191485742
#191485722
#191485662
#191485642
#191484872
#191484552
#191484502
#191484452
#191484182
#191483992
#191483902
#191483442
#191483432
#191483392
#191483262
#191478892
C2×#145834542
#529×D432
C43×#35522
#6283143